diff --git "a/PL9fwy3NUQKwYd6gznbXUdYHgGQaov9O9i/_v-sk7-oCWA_raw.json" "b/PL9fwy3NUQKwYd6gznbXUdYHgGQaov9O9i/_v-sk7-oCWA_raw.json" new file mode 100644--- /dev/null +++ "b/PL9fwy3NUQKwYd6gznbXUdYHgGQaov9O9i/_v-sk7-oCWA_raw.json" @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2661, "start": 1.31, "end": 26.61, "text": "بسم الله الرحمن الرحيم الحمد لله والصلاة والسلام على رسول الله بنرحب فيكوا بناتنا العزيزات في هذا الفصل الثاني من سنة أولى ومع مادة تفاضل باه مات ب 1401 طبعا المادة معانا أربع ساعات بالاسبوع والأن نبدأ بشبتر سبعة اللي هو بحكي عن ال Transcendental Functions", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21542, 2304, 3215, 24976, 3224, 16070, 9381, 15040, 3660, 16070, 3794, 37440, 15844, 12602, 3794, 12610, 21984, 44945, 2288, 5016, 3555, 8978, 4117, 14407, 4724, 8315, 2655, 8315, 18863, 11622, 1829, 11622, 9307, 8978, 23758, 27188, 36520, 6024, 104, 7649, 1829, 9154, 8608, 1863, 3660, 5551, 12610, 7578, 4032, 2304, 3615, 3714, 18513, 3660, 6055, 5172, 46958, 1211, 4724, 40294, 3714, 9307, 4724, 3499, 10607, 23032, 3555, 3615, 995, 9673, 18513, 3660, 20449, 7649, 995, 5551, 25513, 3615, 8608, 45761, 9307, 20666, 32277, 3555, 45367, 4032, 6027, 33456, 8717, 44510, 10721, 4724, 8592, 3555, 2655, 2288, 8608, 3555, 27884, 13672, 1829, 31439, 4724, 5016, 4117, 1829, 18871, 2423, 6531, 21153, 14533, 11166, 3916], "avg_logprob": -0.1385924825823404, "compression_ratio": 1.752988047808765, "no_speech_prob": 2.1457672119140625e-06, "words": [{"start": 1.31, "end": 1.45, "word": "بسم", "probability": 0.797607421875}, {"start": 1.45, "end": 1.59, "word": " الله", "probability": 0.931640625}, {"start": 1.59, "end": 1.93, "word": " الرحمن", "probability": 0.9788411458333334}, {"start": 1.93, "end": 2.33, "word": " الرحيم", "probability": 0.9938151041666666}, {"start": 2.33, "end": 2.69, "word": " الحمد", "probability": 0.89111328125}, {"start": 2.69, "end": 2.97, "word": " لله", "probability": 0.91064453125}, {"start": 2.97, "end": 3.35, "word": " والصلاة", "probability": 0.8753662109375}, {"start": 3.35, "end": 3.83, "word": " والسلام", "probability": 0.9534505208333334}, {"start": 3.83, "end": 4.03, "word": " على", "probability": 0.62548828125}, {"start": 4.03, "end": 4.35, "word": " رسول", "probability": 0.98974609375}, {"start": 4.35, "end": 4.73, "word": " الله", "probability": 0.9384765625}, {"start": 4.73, "end": 6.09, "word": " بنرحب", "probability": 0.87841796875}, {"start": 6.09, "end": 6.57, "word": " فيكوا", "probability": 0.9210611979166666}, {"start": 6.57, "end": 7.23, "word": " بناتنا", "probability": 0.930419921875}, {"start": 7.23, "end": 8.07, "word": " العزيزات", "probability": 0.9919921875}, {"start": 8.07, "end": 8.35, "word": " في", "probability": 0.94970703125}, {"start": 8.35, "end": 8.83, "word": " هذا", "probability": 0.962890625}, {"start": 8.83, "end": 9.57, "word": " الفصل", "probability": 0.944091796875}, {"start": 9.57, "end": 10.31, "word": " الثاني", "probability": 0.90966796875}, {"start": 10.31, "end": 11.03, "word": " من", "probability": 0.99072265625}, {"start": 11.03, "end": 11.41, "word": " سنة", "probability": 0.96484375}, {"start": 11.41, "end": 11.89, "word": " أولى", "probability": 0.9440104166666666}, {"start": 11.89, "end": 12.73, "word": " ومع", "probability": 0.9348958333333334}, {"start": 12.73, "end": 13.17, "word": " مادة", "probability": 0.9523111979166666}, {"start": 13.17, "end": 13.85, "word": " تفاضل", "probability": 0.9127197265625}, {"start": 13.85, "end": 14.45, "word": " باه", "probability": 0.541259765625}, {"start": 14.45, "end": 14.99, "word": " مات", "probability": 0.849853515625}, {"start": 14.99, "end": 15.15, "word": " ب", "probability": 0.89599609375}, {"start": 15.15, "end": 16.29, "word": " 1401", "probability": 0.59234619140625}, {"start": 16.29, "end": 17.35, "word": " طبعا", "probability": 0.96630859375}, {"start": 17.35, "end": 17.71, "word": " المادة", "probability": 0.9794921875}, {"start": 17.71, "end": 18.03, "word": " معانا", "probability": 0.98876953125}, {"start": 18.03, "end": 18.45, "word": " أربع", "probability": 0.7864583333333334}, {"start": 18.45, "end": 19.07, "word": " ساعات", "probability": 0.9873046875}, {"start": 19.07, "end": 19.77, "word": " بالاسبوع", "probability": 0.77301025390625}, {"start": 19.77, "end": 21.69, "word": " والأن", "probability": 0.6737467447916666}, {"start": 21.69, "end": 22.25, "word": " نبدأ", "probability": 0.9344075520833334}, {"start": 22.25, "end": 23.13, "word": " بشبتر", "probability": 0.80439453125}, {"start": 23.13, "end": 23.75, "word": " سبعة", "probability": 0.8821614583333334}, {"start": 23.75, "end": 24.29, "word": " اللي", "probability": 0.85498046875}, {"start": 24.29, "end": 24.39, "word": " هو", "probability": 0.80712890625}, {"start": 24.39, "end": 24.73, "word": " بحكي", "probability": 0.9195556640625}, {"start": 24.73, "end": 24.91, "word": " عن", "probability": 0.9912109375}, {"start": 24.91, "end": 25.03, "word": " ال", "probability": 0.72265625}, {"start": 25.03, "end": 25.91, "word": " Transcendental", "probability": 0.7484537760416666}, {"start": 25.91, "end": 26.61, "word": " Functions", "probability": 0.755859375}], "temperature": 1.0}, {"id": 2, "seek": 5085, "start": 27.15, "end": 50.85, "text": "وعرفنا ايش يعني Transiental Function اخدناه في calculus A اللي هو الاقترانات الغير جبرية واخدنا من هذه الأنواع ال functions نوع اللي هو ال trigonometric functions راح ناخد section 7-1 مص ال section section 7-1", "tokens": [2407, 3615, 28480, 8315, 1975, 1829, 8592, 37495, 22653, 6531, 1196, 304, 11166, 882, 1975, 9778, 3215, 8315, 3224, 8978, 33400, 316, 13672, 1829, 31439, 42963, 38149, 2288, 7649, 9307, 6024, 118, 13546, 10874, 3555, 16572, 3660, 4032, 47283, 3215, 8315, 9154, 29538, 16247, 1863, 14407, 3615, 2423, 6828, 8717, 45367, 13672, 1829, 31439, 2423, 35386, 266, 29470, 6828, 12602, 39319, 8717, 47283, 3215, 3541, 1614, 12, 16, 3714, 9381, 2423, 3541, 3541, 1614, 12, 16], "avg_logprob": -0.315949661391122, "compression_ratio": 1.544041450777202, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 27.15, "end": 28.35, "word": "وعرفنا", "probability": 0.6728515625}, {"start": 28.35, "end": 28.51, "word": " ايش", "probability": 0.7618001302083334}, {"start": 28.51, "end": 28.77, "word": " يعني", "probability": 0.88916015625}, {"start": 28.77, "end": 29.75, "word": " Transiental", "probability": 0.4986979166666667}, {"start": 29.75, "end": 30.13, "word": " Function", "probability": 0.628173828125}, {"start": 30.13, "end": 31.67, "word": " اخدناه", "probability": 0.673486328125}, {"start": 31.67, "end": 31.77, "word": " في", "probability": 0.904296875}, {"start": 31.77, "end": 32.15, "word": " calculus", "probability": 0.6201171875}, {"start": 32.15, "end": 32.61, "word": " A", "probability": 0.533203125}, {"start": 32.61, "end": 33.19, "word": " اللي", "probability": 0.56103515625}, {"start": 33.19, "end": 33.49, "word": " هو", "probability": 0.86376953125}, {"start": 33.49, "end": 35.11, "word": " الاقترانات", "probability": 0.85703125}, {"start": 35.11, "end": 35.49, "word": " الغير", "probability": 0.8377278645833334}, {"start": 35.49, "end": 36.19, "word": " جبرية", "probability": 0.7203369140625}, {"start": 36.19, "end": 37.07, "word": " واخدنا", "probability": 0.9193115234375}, {"start": 37.07, "end": 37.25, "word": " من", "probability": 0.9736328125}, {"start": 37.25, "end": 37.61, "word": " هذه", "probability": 0.8662109375}, {"start": 37.61, "end": 38.11, "word": " الأنواع", "probability": 0.850830078125}, {"start": 38.11, "end": 38.25, "word": " ال", "probability": 0.8408203125}, {"start": 38.25, "end": 38.67, "word": " functions", "probability": 0.474853515625}, {"start": 38.67, "end": 39.13, "word": " نوع", "probability": 0.91845703125}, {"start": 39.13, "end": 39.71, "word": " اللي", "probability": 0.662841796875}, {"start": 39.71, "end": 40.07, "word": " هو", "probability": 0.9697265625}, {"start": 40.07, "end": 40.53, "word": " ال", "probability": 0.75927734375}, {"start": 40.53, "end": 41.85, "word": " trigonometric", "probability": 0.7781575520833334}, {"start": 41.85, "end": 42.59, "word": " functions", "probability": 0.80615234375}, {"start": 42.59, "end": 43.51, "word": " راح", "probability": 0.806396484375}, {"start": 43.51, "end": 43.81, "word": " ناخد", "probability": 0.96875}, {"start": 43.81, "end": 44.09, "word": " section", "probability": 0.62548828125}, {"start": 44.09, "end": 44.47, "word": " 7", "probability": 0.67138671875}, {"start": 44.47, "end": 44.89, "word": "-1", "probability": 0.6480712890625}, {"start": 44.89, "end": 45.63, "word": " مص", "probability": 0.6251220703125}, {"start": 45.63, "end": 45.87, "word": " ال", "probability": 0.73974609375}, {"start": 45.87, "end": 46.91, "word": " section", "probability": 0.7822265625}, {"start": 46.91, "end": 49.75, "word": " section", "probability": 0.46240234375}, {"start": 49.75, "end": 50.21, "word": " 7", "probability": 0.97021484375}, {"start": 50.21, "end": 50.85, "word": "-1", "probability": 0.97900390625}], "temperature": 1.0}, {"id": 3, "seek": 8222, "start": 53.92, "end": 82.22, "text": "اللي هو الـ Transiental اللي هو بيحكي عن Inverse قبل ما ندخل بال Transiental Function طبعا بنتعرف على ال Inverse Function و المشتقات تبع ال Inverse Function الآن عشان نعرف ال Inverse Function لازم نعرف أول إشي نوع من ال function بنسميه one to one one to one function في عندنا ال function اسمها one to one function يعني واحد لواحد الآن إيش يعني one to one function بنقول ال function if", "tokens": [6027, 20292, 31439, 2423, 39184, 6531, 1196, 304, 2423, 20292, 31439, 4724, 1829, 5016, 4117, 1829, 18871, 682, 4308, 12174, 36150, 19446, 8717, 3215, 9778, 1211, 20666, 6531, 1196, 304, 11166, 882, 23032, 3555, 3615, 995, 4724, 29399, 3615, 28480, 15844, 2423, 682, 4308, 11166, 882, 4032, 9673, 8592, 2655, 4587, 9307, 6055, 3555, 3615, 2423, 682, 4308, 11166, 882, 6024, 48506, 6225, 8592, 7649, 8717, 3615, 28480, 2423, 682, 4308, 11166, 882, 5296, 31377, 2304, 8717, 3615, 28480, 5551, 12610, 11933, 8592, 1829, 8717, 45367, 9154, 2423, 2445, 44945, 38251, 1829, 3224, 472, 281, 472, 472, 281, 472, 2445, 8978, 43242, 8315, 2423, 2445, 24525, 2304, 11296, 472, 281, 472, 2445, 37495, 22653, 36764, 24401, 5296, 14407, 24401, 6024, 48506, 11933, 1829, 8592, 37495, 22653, 472, 281, 472, 2445, 44945, 39648, 2423, 2445, 498], "avg_logprob": -0.2509191248785047, "compression_ratio": 2.140562248995984, "no_speech_prob": 1.531839370727539e-05, "words": [{"start": 53.92, "end": 54.6, "word": "اللي", "probability": 0.3480224609375}, {"start": 54.6, "end": 54.92, "word": " هو", "probability": 0.91064453125}, {"start": 54.92, "end": 55.3, "word": " الـ", "probability": 0.5069580078125}, {"start": 55.3, "end": 55.92, "word": " Transiental", "probability": 0.4597981770833333}, {"start": 55.92, "end": 56.12, "word": " اللي", "probability": 0.528564453125}, {"start": 56.12, "end": 56.32, "word": " هو", "probability": 0.896484375}, {"start": 56.32, "end": 56.74, "word": " بيحكي", "probability": 0.86953125}, {"start": 56.74, "end": 57.04, "word": " عن", "probability": 0.99267578125}, {"start": 57.04, "end": 58.4, "word": " Inverse", "probability": 0.7071533203125}, {"start": 58.4, "end": 58.68, "word": " قبل", "probability": 0.9716796875}, {"start": 58.68, "end": 58.8, "word": " ما", "probability": 0.95556640625}, {"start": 58.8, "end": 59.16, "word": " ندخل", "probability": 0.995361328125}, {"start": 59.16, "end": 59.28, "word": " بال", "probability": 0.77783203125}, {"start": 59.28, "end": 60.0, "word": " Transiental", "probability": 0.8185221354166666}, {"start": 60.0, "end": 60.34, "word": " Function", "probability": 0.6531982421875}, {"start": 60.34, "end": 60.72, "word": " طبعا", "probability": 0.951904296875}, {"start": 60.72, "end": 61.42, "word": " بنتعرف", "probability": 0.7698974609375}, {"start": 61.42, "end": 61.76, "word": " على", "probability": 0.927734375}, {"start": 61.76, "end": 62.42, "word": " ال", "probability": 0.76220703125}, {"start": 62.42, "end": 62.88, "word": " Inverse", "probability": 0.6875}, {"start": 62.88, "end": 63.48, "word": " Function", "probability": 0.818359375}, {"start": 63.48, "end": 64.08, "word": " و", "probability": 0.75634765625}, {"start": 64.08, "end": 65.04, "word": " المشتقات", "probability": 0.84873046875}, {"start": 65.04, "end": 65.3, "word": " تبع", "probability": 0.876953125}, {"start": 65.3, "end": 65.5, "word": " ال", "probability": 0.65771484375}, {"start": 65.5, "end": 65.94, "word": " Inverse", "probability": 0.914306640625}, {"start": 65.94, "end": 66.52, "word": " Function", "probability": 0.869873046875}, {"start": 66.52, "end": 67.92, "word": " الآن", "probability": 0.59423828125}, {"start": 67.92, "end": 68.18, "word": " عشان", "probability": 0.9855143229166666}, {"start": 68.18, "end": 68.44, "word": " نعرف", "probability": 0.9933268229166666}, {"start": 68.44, "end": 68.58, "word": " ال", "probability": 0.81005859375}, {"start": 68.58, "end": 68.98, "word": " Inverse", "probability": 0.921142578125}, {"start": 68.98, "end": 69.54, "word": " Function", "probability": 0.942626953125}, {"start": 69.54, "end": 69.94, "word": " لازم", "probability": 0.9860026041666666}, {"start": 69.94, "end": 70.4, "word": " نعرف", "probability": 0.99365234375}, {"start": 70.4, "end": 70.98, "word": " أول", "probability": 0.803955078125}, {"start": 70.98, "end": 71.26, "word": " إشي", "probability": 0.6134847005208334}, {"start": 71.26, "end": 71.48, "word": " نوع", "probability": 0.989990234375}, {"start": 71.48, "end": 71.64, "word": " من", "probability": 0.9921875}, {"start": 71.64, "end": 71.76, "word": " ال", "probability": 0.8623046875}, {"start": 71.76, "end": 72.12, "word": " function", "probability": 0.4423828125}, {"start": 72.12, "end": 72.78, "word": " بنسميه", "probability": 0.8599853515625}, {"start": 72.78, "end": 72.92, "word": " one", "probability": 0.73974609375}, {"start": 72.92, "end": 73.08, "word": " to", "probability": 0.76416015625}, {"start": 73.08, "end": 73.3, "word": " one", "probability": 0.94677734375}, {"start": 73.3, "end": 73.96, "word": " one", "probability": 0.5654296875}, {"start": 73.96, "end": 74.16, "word": " to", "probability": 0.96337890625}, {"start": 74.16, "end": 74.36, "word": " one", "probability": 0.9453125}, {"start": 74.36, "end": 74.86, "word": " function", "probability": 0.9287109375}, {"start": 74.86, "end": 75.06, "word": " في", "probability": 0.5283203125}, {"start": 75.06, "end": 75.36, "word": " عندنا", "probability": 0.684326171875}, {"start": 75.36, "end": 75.48, "word": " ال", "probability": 0.43603515625}, {"start": 75.48, "end": 75.84, "word": " function", "probability": 0.93310546875}, {"start": 75.84, "end": 76.6, "word": " اسمها", "probability": 0.88916015625}, {"start": 76.6, "end": 76.8, "word": " one", "probability": 0.91552734375}, {"start": 76.8, "end": 76.94, "word": " to", "probability": 0.95458984375}, {"start": 76.94, "end": 77.1, "word": " one", "probability": 0.94580078125}, {"start": 77.1, "end": 77.46, "word": " function", "probability": 0.94189453125}, {"start": 77.46, "end": 77.74, "word": " يعني", "probability": 0.938232421875}, {"start": 77.74, "end": 78.06, "word": " واحد", "probability": 0.963623046875}, {"start": 78.06, "end": 78.94, "word": " لواحد", "probability": 0.8302408854166666}, {"start": 78.94, "end": 79.48, "word": " الآن", "probability": 0.54669189453125}, {"start": 79.48, "end": 79.72, "word": " إيش", "probability": 0.888671875}, {"start": 79.72, "end": 79.94, "word": " يعني", "probability": 0.9658203125}, {"start": 79.94, "end": 80.18, "word": " one", "probability": 0.93896484375}, {"start": 80.18, "end": 80.3, "word": " to", "probability": 0.97802734375}, {"start": 80.3, "end": 80.44, "word": " one", "probability": 0.951171875}, {"start": 80.44, "end": 80.9, "word": " function", "probability": 0.96240234375}, {"start": 80.9, "end": 81.24, "word": " بنقول", "probability": 0.6798095703125}, {"start": 81.24, "end": 81.36, "word": " ال", "probability": 0.83203125}, {"start": 81.36, "end": 81.74, "word": " function", "probability": 0.94189453125}, {"start": 81.74, "end": 82.22, "word": " if", "probability": 0.5322265625}], "temperature": 1.0}, {"id": 4, "seek": 11084, "start": 82.58, "end": 110.84, "text": "F of X is one to one بعدد او واحد لواحد on a domain D اذا كانت F of X واحد لا تساوي X اتنين F of X اتنين whenever X واحد لا تساوي X اتنين يعني لو أخدنا اي عنصرين غير متساويين صورهم بتكون غير متساوية وبالتالي لأي عنصرين غير متساويين بروحوا لصور غير متساوية يعني كل عنصر له صورة واحدة فقط", "tokens": [37, 295, 1783, 307, 472, 281, 472, 4724, 22488, 3215, 1975, 2407, 36764, 24401, 5296, 14407, 24401, 322, 257, 9274, 413, 1975, 15730, 25961, 2655, 479, 295, 1783, 36764, 24401, 20193, 6055, 3794, 995, 45865, 1783, 1975, 2655, 1863, 9957, 479, 295, 1783, 1975, 2655, 1863, 9957, 5699, 1783, 36764, 24401, 20193, 6055, 3794, 995, 45865, 1783, 1975, 2655, 1863, 9957, 37495, 22653, 45164, 5551, 9778, 3215, 8315, 1975, 1829, 18871, 9381, 2288, 9957, 32771, 13546, 44650, 3794, 995, 45865, 9957, 20328, 13063, 16095, 39894, 30544, 32771, 13546, 44650, 3794, 995, 2407, 10632, 46599, 6027, 2655, 6027, 1829, 5296, 10721, 1829, 18871, 9381, 2288, 9957, 32771, 13546, 44650, 3794, 995, 45865, 9957, 4724, 32887, 5016, 14407, 5296, 9381, 13063, 32771, 13546, 44650, 3794, 995, 2407, 10632, 37495, 22653, 28242, 18871, 9381, 2288, 46740, 20328, 13063, 3660, 36764, 24401, 3660, 6156, 47432], "avg_logprob": -0.18188819918833987, "compression_ratio": 2.152073732718894, "no_speech_prob": 0.0004825592041015625, "words": [{"start": 82.58, "end": 82.76, "word": "F", "probability": 0.094970703125}, {"start": 82.76, "end": 82.88, "word": " of", "probability": 0.27783203125}, {"start": 82.88, "end": 83.26, "word": " X", "probability": 0.921875}, {"start": 83.26, "end": 83.52, "word": " is", "probability": 0.53466796875}, {"start": 83.52, "end": 83.8, "word": " one", "probability": 0.58154296875}, {"start": 83.8, "end": 83.94, "word": " to", "probability": 0.85986328125}, {"start": 83.94, "end": 84.22, "word": " one", "probability": 0.94287109375}, {"start": 84.22, "end": 85.88, "word": " بعدد", "probability": 0.5251871744791666}, {"start": 85.88, "end": 86.08, "word": " او", "probability": 0.517822265625}, {"start": 86.08, "end": 86.42, "word": " واحد", "probability": 0.94921875}, {"start": 86.42, "end": 87.02, "word": " لواحد", "probability": 0.808837890625}, {"start": 87.02, "end": 87.54, "word": " on", "probability": 0.2364501953125}, {"start": 87.54, "end": 89.26, "word": " a", "probability": 0.8984375}, {"start": 89.26, "end": 89.7, "word": " domain", "probability": 0.9716796875}, {"start": 89.7, "end": 90.16, "word": " D", "probability": 0.86279296875}, {"start": 90.16, "end": 90.78, "word": " اذا", "probability": 0.623291015625}, {"start": 90.78, "end": 91.4, "word": " كانت", "probability": 0.927978515625}, {"start": 91.4, "end": 91.52, "word": " F", "probability": 0.67236328125}, {"start": 91.52, "end": 91.7, "word": " of", "probability": 0.8486328125}, {"start": 91.7, "end": 91.9, "word": " X", "probability": 0.98095703125}, {"start": 91.9, "end": 92.28, "word": " واحد", "probability": 0.653564453125}, {"start": 92.28, "end": 92.4, "word": " لا", "probability": 0.82177734375}, {"start": 92.4, "end": 92.78, "word": " تساوي", "probability": 0.9429931640625}, {"start": 92.78, "end": 93.0, "word": " X", "probability": 0.78466796875}, {"start": 93.0, "end": 93.44, "word": " اتنين", "probability": 0.8154296875}, {"start": 93.44, "end": 93.98, "word": " F", "probability": 0.411865234375}, {"start": 93.98, "end": 94.18, "word": " of", "probability": 0.951171875}, {"start": 94.18, "end": 94.38, "word": " X", "probability": 0.99609375}, {"start": 94.38, "end": 94.76, "word": " اتنين", "probability": 0.966552734375}, {"start": 94.76, "end": 95.08, "word": " whenever", "probability": 0.720703125}, {"start": 95.08, "end": 95.48, "word": " X", "probability": 0.904296875}, {"start": 95.48, "end": 95.82, "word": " واحد", "probability": 0.946044921875}, {"start": 95.82, "end": 95.94, "word": " لا", "probability": 0.8642578125}, {"start": 95.94, "end": 96.42, "word": " تساوي", "probability": 0.9903564453125}, {"start": 96.42, "end": 96.62, "word": " X", "probability": 0.96923828125}, {"start": 96.62, "end": 97.06, "word": " اتنين", "probability": 0.973876953125}, {"start": 97.06, "end": 97.62, "word": " يعني", "probability": 0.88818359375}, {"start": 97.62, "end": 97.78, "word": " لو", "probability": 0.78466796875}, {"start": 97.78, "end": 98.14, "word": " أخدنا", "probability": 0.7928466796875}, {"start": 98.14, "end": 98.28, "word": " اي", "probability": 0.6998291015625}, {"start": 98.28, "end": 98.76, "word": " عنصرين", "probability": 0.904541015625}, {"start": 98.76, "end": 98.98, "word": " غير", "probability": 0.99609375}, {"start": 98.98, "end": 99.68, "word": " متساويين", "probability": 0.86171875}, {"start": 99.68, "end": 100.08, "word": " صورهم", "probability": 0.9322916666666666}, {"start": 100.08, "end": 100.48, "word": " بتكون", "probability": 0.853515625}, {"start": 100.48, "end": 101.18, "word": " غير", "probability": 0.995361328125}, {"start": 101.18, "end": 102.06, "word": " متساوية", "probability": 0.93505859375}, {"start": 102.06, "end": 103.24, "word": " وبالتالي", "probability": 0.92666015625}, {"start": 103.24, "end": 103.64, "word": " لأي", "probability": 0.8447265625}, {"start": 103.64, "end": 104.8, "word": " عنصرين", "probability": 0.9625244140625}, {"start": 104.8, "end": 104.98, "word": " غير", "probability": 0.995361328125}, {"start": 104.98, "end": 105.74, "word": " متساويين", "probability": 0.95244140625}, {"start": 105.74, "end": 106.34, "word": " بروحوا", "probability": 0.8929443359375}, {"start": 106.34, "end": 107.38, "word": " لصور", "probability": 0.9777018229166666}, {"start": 107.38, "end": 107.62, "word": " غير", "probability": 0.993896484375}, {"start": 107.62, "end": 108.22, "word": " متساوية", "probability": 0.9216796875}, {"start": 108.22, "end": 108.54, "word": " يعني", "probability": 0.9560546875}, {"start": 108.54, "end": 108.84, "word": " كل", "probability": 0.9580078125}, {"start": 108.84, "end": 109.3, "word": " عنصر", "probability": 0.9957682291666666}, {"start": 109.3, "end": 109.54, "word": " له", "probability": 0.55078125}, {"start": 109.54, "end": 109.98, "word": " صورة", "probability": 0.9850260416666666}, {"start": 109.98, "end": 110.46, "word": " واحدة", "probability": 0.9806315104166666}, {"start": 110.46, "end": 110.84, "word": " فقط", "probability": 0.9931640625}], "temperature": 1.0}, {"id": 5, "seek": 13955, "start": 111.29, "end": 139.55, "text": "مافيش عنصرين بياخدوا نفس الصورة يعني إذا كان بعبرة أخرى نفس العبرة السابقة إذا كان f of x1 تساوي f of x2 يعني الصور متساوية لازم العناصر تكون متساوية then x1 يساوي x2 وهذا اللي أسهل باستخدامها بحل الأسئلة في حل الأسئلة يعني باخد f of x1 تساوي f of x2 و بثبت أن x1 يساوي x2 هذا إيش التعريف", "tokens": [15042, 41185, 8592, 18871, 9381, 2288, 9957, 4724, 1829, 47283, 3215, 14407, 8717, 36178, 31767, 13063, 3660, 37495, 22653, 11933, 15730, 25961, 4724, 3615, 3555, 25720, 5551, 34740, 7578, 8717, 36178, 18863, 3555, 25720, 21136, 16758, 28671, 11933, 15730, 25961, 283, 295, 2031, 16, 6055, 3794, 995, 45865, 283, 295, 2031, 17, 37495, 22653, 31767, 13063, 44650, 3794, 995, 2407, 10632, 5296, 31377, 2304, 18863, 1863, 33546, 2288, 6055, 30544, 44650, 3794, 995, 2407, 10632, 550, 2031, 16, 7251, 3794, 995, 45865, 2031, 17, 37037, 15730, 13672, 1829, 5551, 3794, 3224, 1211, 4724, 995, 14851, 9778, 3215, 10943, 11296, 4724, 5016, 1211, 16247, 3794, 19986, 37977, 8978, 11331, 1211, 16247, 3794, 19986, 37977, 37495, 22653, 4724, 47283, 3215, 283, 295, 2031, 16, 6055, 3794, 995, 45865, 283, 295, 2031, 17, 4032, 4724, 12984, 3555, 2655, 14739, 2031, 16, 7251, 3794, 995, 45865, 2031, 17, 23758, 11933, 1829, 8592, 16712, 3615, 16572, 5172], "avg_logprob": -0.1343954302906211, "compression_ratio": 2.0815450643776825, "no_speech_prob": 9.179115295410156e-06, "words": [{"start": 111.29, "end": 111.81, "word": "مافيش", "probability": 0.7149251302083334}, {"start": 111.81, "end": 112.95, "word": " عنصرين", "probability": 0.829833984375}, {"start": 112.95, "end": 113.61, "word": " بياخدوا", "probability": 0.8873046875}, {"start": 113.61, "end": 113.85, "word": " نفس", "probability": 0.993896484375}, {"start": 113.85, "end": 114.87, "word": " الصورة", "probability": 0.98779296875}, {"start": 114.87, "end": 115.67, "word": " يعني", "probability": 0.855224609375}, {"start": 115.67, "end": 115.99, "word": " إذا", "probability": 0.86669921875}, {"start": 115.99, "end": 116.35, "word": " كان", "probability": 0.9931640625}, {"start": 116.35, "end": 116.93, "word": " بعبرة", "probability": 0.843994140625}, {"start": 116.93, "end": 117.29, "word": " أخرى", "probability": 0.9759114583333334}, {"start": 117.29, "end": 117.49, "word": " نفس", "probability": 0.92919921875}, {"start": 117.49, "end": 117.85, "word": " العبرة", "probability": 0.85546875}, {"start": 117.85, "end": 118.31, "word": " السابقة", "probability": 0.9847005208333334}, {"start": 118.31, "end": 118.59, "word": " إذا", "probability": 0.816650390625}, {"start": 118.59, "end": 118.79, "word": " كان", "probability": 0.98779296875}, {"start": 118.79, "end": 118.97, "word": " f", "probability": 0.56005859375}, {"start": 118.97, "end": 119.13, "word": " of", "probability": 0.4326171875}, {"start": 119.13, "end": 119.57, "word": " x1", "probability": 0.6083984375}, {"start": 119.57, "end": 120.05, "word": " تساوي", "probability": 0.7706298828125}, {"start": 120.05, "end": 120.25, "word": " f", "probability": 0.94091796875}, {"start": 120.25, "end": 120.41, "word": " of", "probability": 0.97314453125}, {"start": 120.41, "end": 120.95, "word": " x2", "probability": 0.988525390625}, {"start": 120.95, "end": 121.55, "word": " يعني", "probability": 0.89697265625}, {"start": 121.55, "end": 121.87, "word": " الصور", "probability": 0.96240234375}, {"start": 121.87, "end": 122.55, "word": " متساوية", "probability": 0.9703125}, {"start": 122.55, "end": 122.91, "word": " لازم", "probability": 0.9803059895833334}, {"start": 122.91, "end": 123.43, "word": " العناصر", "probability": 0.820556640625}, {"start": 123.43, "end": 123.81, "word": " تكون", "probability": 0.97021484375}, {"start": 123.81, "end": 124.53, "word": " متساوية", "probability": 0.98779296875}, {"start": 124.53, "end": 124.99, "word": " then", "probability": 0.62841796875}, {"start": 124.99, "end": 125.55, "word": " x1", "probability": 0.936767578125}, {"start": 125.55, "end": 126.05, "word": " يساوي", "probability": 0.8817138671875}, {"start": 126.05, "end": 126.65, "word": " x2", "probability": 0.98095703125}, {"start": 126.65, "end": 127.49, "word": " وهذا", "probability": 0.64599609375}, {"start": 127.49, "end": 127.63, "word": " اللي", "probability": 0.92431640625}, {"start": 127.63, "end": 128.63, "word": " أسهل", "probability": 0.78363037109375}, {"start": 128.63, "end": 129.97, "word": " باستخدامها", "probability": 0.8793247767857143}, {"start": 129.97, "end": 131.07, "word": " بحل", "probability": 0.8531901041666666}, {"start": 131.07, "end": 131.69, "word": " الأسئلة", "probability": 0.9896240234375}, {"start": 131.69, "end": 132.09, "word": " في", "probability": 0.313232421875}, {"start": 132.09, "end": 132.25, "word": " حل", "probability": 0.961181640625}, {"start": 132.25, "end": 132.63, "word": " الأسئلة", "probability": 0.99462890625}, {"start": 132.63, "end": 132.81, "word": " يعني", "probability": 0.84326171875}, {"start": 132.81, "end": 133.17, "word": " باخد", "probability": 0.99072265625}, {"start": 133.17, "end": 133.31, "word": " f", "probability": 0.9013671875}, {"start": 133.31, "end": 133.47, "word": " of", "probability": 0.9453125}, {"start": 133.47, "end": 133.89, "word": " x1", "probability": 0.990234375}, {"start": 133.89, "end": 134.35, "word": " تساوي", "probability": 0.957763671875}, {"start": 134.35, "end": 134.53, "word": " f", "probability": 0.90234375}, {"start": 134.53, "end": 134.67, "word": " of", "probability": 0.9765625}, {"start": 134.67, "end": 135.09, "word": " x2", "probability": 0.9970703125}, {"start": 135.09, "end": 135.23, "word": " و", "probability": 0.7431640625}, {"start": 135.23, "end": 135.59, "word": " بثبت", "probability": 0.9263916015625}, {"start": 135.59, "end": 135.73, "word": " أن", "probability": 0.51611328125}, {"start": 135.73, "end": 136.27, "word": " x1", "probability": 0.869873046875}, {"start": 136.27, "end": 136.83, "word": " يساوي", "probability": 0.9447021484375}, {"start": 136.83, "end": 137.99, "word": " x2", "probability": 0.989990234375}, {"start": 137.99, "end": 138.63, "word": " هذا", "probability": 0.71337890625}, {"start": 138.63, "end": 138.93, "word": " إيش", "probability": 0.6064453125}, {"start": 138.93, "end": 139.55, "word": " التعريف", "probability": 0.873291015625}], "temperature": 1.0}, {"id": 6, "seek": 16526, "start": 140.04, "end": 165.26, "text": "يعني كل عنصر له صورة واحدة فقط بالتالي بتكون ال function is one to one مثال f of x تساوي جذر ال x بدنا نثمن أن ال function ها دي one to one على ال domain تبعها اللي هو من صفر إلى مالة نهاية لو أخدت عنصرين x1 و x2 هي فاصلة بنحط��ا x1 و x2 بيه any two numbers in zero و مالة نهاية في ال domain", "tokens": [40228, 22653, 28242, 18871, 9381, 2288, 46740, 20328, 13063, 3660, 36764, 24401, 3660, 6156, 47432, 20666, 2655, 6027, 1829, 39894, 30544, 2423, 2445, 307, 472, 281, 472, 50113, 6027, 283, 295, 2031, 6055, 3794, 995, 45865, 10874, 8848, 2288, 2423, 2031, 47525, 8315, 8717, 12984, 27842, 14739, 2423, 2445, 8032, 995, 11778, 1829, 472, 281, 472, 15844, 2423, 9274, 6055, 3555, 3615, 11296, 13672, 1829, 31439, 9154, 20328, 5172, 2288, 30731, 3714, 6027, 3660, 8717, 11296, 10632, 45164, 5551, 9778, 3215, 2655, 18871, 9381, 2288, 9957, 2031, 16, 4032, 2031, 17, 39896, 6156, 33546, 37977, 44945, 5016, 9566, 11296, 2031, 16, 4032, 2031, 17, 4724, 1829, 3224, 604, 732, 3547, 294, 4018, 4032, 3714, 6027, 3660, 8717, 11296, 10632, 8978, 2423, 9274], "avg_logprob": -0.22853151060701385, "compression_ratio": 1.6926070038910506, "no_speech_prob": 2.7894973754882812e-05, "words": [{"start": 140.04, "end": 140.38, "word": "يعني", "probability": 0.787109375}, {"start": 140.38, "end": 140.64, "word": " كل", "probability": 0.85498046875}, {"start": 140.64, "end": 141.06, "word": " عنصر", "probability": 0.96923828125}, {"start": 141.06, "end": 141.24, "word": " له", "probability": 0.89990234375}, {"start": 141.24, "end": 141.68, "word": " صورة", "probability": 0.9837239583333334}, {"start": 141.68, "end": 142.1, "word": " واحدة", "probability": 0.9822591145833334}, {"start": 142.1, "end": 142.48, "word": " فقط", "probability": 0.99169921875}, {"start": 142.48, "end": 143.16, "word": " بالتالي", "probability": 0.80126953125}, {"start": 143.16, "end": 143.5, "word": " بتكون", "probability": 0.6875}, {"start": 143.5, "end": 143.64, "word": " ال", "probability": 0.9677734375}, {"start": 143.64, "end": 143.92, "word": " function", "probability": 0.5302734375}, {"start": 143.92, "end": 144.28, "word": " is", "probability": 0.83740234375}, {"start": 144.28, "end": 144.58, "word": " one", "probability": 0.8134765625}, {"start": 144.58, "end": 144.98, "word": " to", "probability": 0.86083984375}, {"start": 144.98, "end": 145.3, "word": " one", "probability": 0.955078125}, {"start": 145.3, "end": 146.98, "word": " مثال", "probability": 0.886474609375}, {"start": 146.98, "end": 147.3, "word": " f", "probability": 0.525390625}, {"start": 147.3, "end": 147.48, "word": " of", "probability": 0.317138671875}, {"start": 147.48, "end": 147.66, "word": " x", "probability": 0.759765625}, {"start": 147.66, "end": 148.14, "word": " تساوي", "probability": 0.770721435546875}, {"start": 148.14, "end": 148.48, "word": " جذر", "probability": 0.8531901041666666}, {"start": 148.48, "end": 148.6, "word": " ال", "probability": 0.8857421875}, {"start": 148.6, "end": 148.86, "word": " x", "probability": 0.51220703125}, {"start": 148.86, "end": 149.14, "word": " بدنا", "probability": 0.5760498046875}, {"start": 149.14, "end": 149.4, "word": " نثمن", "probability": 0.8650716145833334}, {"start": 149.4, "end": 149.58, "word": " أن", "probability": 0.472900390625}, {"start": 149.58, "end": 149.72, "word": " ال", "probability": 0.857421875}, {"start": 149.72, "end": 150.0, "word": " function", "probability": 0.86181640625}, {"start": 150.0, "end": 150.2, "word": " ها", "probability": 0.40673828125}, {"start": 150.2, "end": 150.28, "word": " دي", "probability": 0.671142578125}, {"start": 150.28, "end": 150.48, "word": " one", "probability": 0.94873046875}, {"start": 150.48, "end": 150.64, "word": " to", "probability": 0.96435546875}, {"start": 150.64, "end": 150.86, "word": " one", "probability": 0.9599609375}, {"start": 150.86, "end": 151.22, "word": " على", "probability": 0.72021484375}, {"start": 151.22, "end": 151.34, "word": " ال", "probability": 0.9267578125}, {"start": 151.34, "end": 151.58, "word": " domain", "probability": 0.9921875}, {"start": 151.58, "end": 151.98, "word": " تبعها", "probability": 0.9093017578125}, {"start": 151.98, "end": 152.1, "word": " اللي", "probability": 0.952392578125}, {"start": 152.1, "end": 152.2, "word": " هو", "probability": 0.9111328125}, {"start": 152.2, "end": 152.34, "word": " من", "probability": 0.98388671875}, {"start": 152.34, "end": 152.6, "word": " صفر", "probability": 0.730224609375}, {"start": 152.6, "end": 152.88, "word": " إلى", "probability": 0.88134765625}, {"start": 152.88, "end": 153.82, "word": " مالة", "probability": 0.740478515625}, {"start": 153.82, "end": 154.4, "word": " نهاية", "probability": 0.9078776041666666}, {"start": 154.4, "end": 156.1, "word": " لو", "probability": 0.88916015625}, {"start": 156.1, "end": 156.48, "word": " أخدت", "probability": 0.96044921875}, {"start": 156.48, "end": 157.02, "word": " عنصرين", "probability": 0.9658203125}, {"start": 157.02, "end": 157.52, "word": " x1", "probability": 0.709716796875}, {"start": 157.52, "end": 157.74, "word": " و", "probability": 0.96435546875}, {"start": 157.74, "end": 158.4, "word": " x2", "probability": 0.759521484375}, {"start": 158.4, "end": 158.86, "word": " هي", "probability": 0.395263671875}, {"start": 158.86, "end": 159.34, "word": " فاصلة", "probability": 0.9098307291666666}, {"start": 159.34, "end": 160.02, "word": " بنحطها", "probability": 0.70843505859375}, {"start": 160.02, "end": 160.54, "word": " x1", "probability": 0.677001953125}, {"start": 160.54, "end": 160.66, "word": " و", "probability": 0.97119140625}, {"start": 160.66, "end": 161.1, "word": " x2", "probability": 0.915771484375}, {"start": 161.1, "end": 161.32, "word": " بيه", "probability": 0.8196614583333334}, {"start": 161.32, "end": 161.5, "word": " any", "probability": 0.80126953125}, {"start": 161.5, "end": 161.72, "word": " two", "probability": 0.919921875}, {"start": 161.72, "end": 162.52, "word": " numbers", "probability": 0.87255859375}, {"start": 162.52, "end": 163.48, "word": " in", "probability": 0.935546875}, {"start": 163.48, "end": 163.88, "word": " zero", "probability": 0.28271484375}, {"start": 163.88, "end": 164.02, "word": " و", "probability": 0.521484375}, {"start": 164.02, "end": 164.24, "word": " مالة", "probability": 0.8614908854166666}, {"start": 164.24, "end": 164.66, "word": " نهاية", "probability": 0.94140625}, {"start": 164.66, "end": 164.88, "word": " في", "probability": 0.9140625}, {"start": 164.88, "end": 164.94, "word": " ال", "probability": 0.89697265625}, {"start": 164.94, "end": 165.26, "word": " domain", "probability": 0.99169921875}], "temperature": 1.0}, {"id": 7, "seek": 19561, "start": 166.39, "end": 195.61, "text": "واخدنا f of x1 يساوي f of x2 بدنا نثبت ان f of x1 يساوي f of x2 اولش بناخد بنعوض f of x1 بنروح بنعوض هنا جدر الـ x1 f of x2 بنعوض بدل الـ x، x2 بتصبح جدر الـ x2 الآن بدنا نعمل عادى عملية جبرية بحيث انه نتوصل ان f of x1 يساوي f of x2 العملية الجبرية هي بتربيع الطرفين ربع الطرفين بنحصل على ان f of x1 يساوي f of x2 وبالتالي f is one to one", "tokens": [2407, 47283, 3215, 8315, 283, 295, 2031, 16, 7251, 3794, 995, 45865, 283, 295, 2031, 17, 47525, 8315, 8717, 12984, 3555, 2655, 16472, 283, 295, 2031, 16, 7251, 3794, 995, 45865, 283, 295, 2031, 17, 1975, 12610, 8592, 44945, 47283, 3215, 44945, 3615, 2407, 11242, 283, 295, 2031, 16, 44945, 32887, 5016, 44945, 3615, 2407, 11242, 34105, 10874, 3215, 2288, 2423, 39184, 2031, 16, 283, 295, 2031, 17, 44945, 3615, 2407, 11242, 47525, 1211, 2423, 39184, 2031, 12399, 2031, 17, 39894, 9381, 49628, 10874, 3215, 2288, 2423, 39184, 2031, 17, 6024, 48506, 47525, 8315, 8717, 25957, 1211, 6225, 18513, 7578, 6225, 42213, 10632, 10874, 3555, 2288, 10632, 4724, 5016, 1829, 12984, 16472, 3224, 8717, 2655, 2407, 36520, 16472, 283, 295, 2031, 16, 7251, 3794, 995, 45865, 283, 295, 2031, 17, 2423, 25957, 1211, 10632, 25724, 3555, 2288, 10632, 39896, 39894, 25513, 40228, 41950, 28480, 9957, 12602, 3555, 3615, 41950, 28480, 9957, 44945, 5016, 36520, 15844, 16472, 283, 295, 2031, 16, 7251, 3794, 995, 45865, 283, 295, 2031, 17, 4032, 3555, 6027, 2655, 6027, 1829, 283, 307, 472, 281, 472], "avg_logprob": -0.2572916570636961, "compression_ratio": 2.3422222222222224, "no_speech_prob": 9.518861770629883e-05, "words": [{"start": 166.39, "end": 167.07, "word": "واخدنا", "probability": 0.6846923828125}, {"start": 167.07, "end": 167.19, "word": " f", "probability": 0.5966796875}, {"start": 167.19, "end": 167.39, "word": " of", "probability": 0.256103515625}, {"start": 167.39, "end": 167.85, "word": " x1", "probability": 0.857666015625}, {"start": 167.85, "end": 168.41, "word": " يساوي", "probability": 0.740875244140625}, {"start": 168.41, "end": 168.63, "word": " f", "probability": 0.9404296875}, {"start": 168.63, "end": 168.79, "word": " of", "probability": 0.97900390625}, {"start": 168.79, "end": 169.47, "word": " x2", "probability": 0.993896484375}, {"start": 169.47, "end": 170.17, "word": " بدنا", "probability": 0.56561279296875}, {"start": 170.17, "end": 170.79, "word": " نثبت", "probability": 0.9813232421875}, {"start": 170.79, "end": 170.99, "word": " ان", "probability": 0.599609375}, {"start": 170.99, "end": 171.27, "word": " f", "probability": 0.450439453125}, {"start": 171.27, "end": 171.27, "word": " of", "probability": 0.26513671875}, {"start": 171.27, "end": 171.49, "word": " x1", "probability": 0.981201171875}, {"start": 171.49, "end": 171.83, "word": " يساوي", "probability": 0.86328125}, {"start": 171.83, "end": 171.91, "word": " f", "probability": 0.9091796875}, {"start": 171.91, "end": 171.91, "word": " of", "probability": 0.9638671875}, {"start": 171.91, "end": 172.31, "word": " x2", "probability": 0.99658203125}, {"start": 172.31, "end": 173.11, "word": " اولش", "probability": 0.4690755208333333}, {"start": 173.11, "end": 173.45, "word": " بناخد", "probability": 0.841796875}, {"start": 173.45, "end": 173.97, "word": " بنعوض", "probability": 0.70166015625}, {"start": 173.97, "end": 174.43, "word": " f", "probability": 0.2325439453125}, {"start": 174.43, "end": 174.59, "word": " of", "probability": 0.919921875}, {"start": 174.59, "end": 175.09, "word": " x1", "probability": 0.986083984375}, {"start": 175.09, "end": 175.35, "word": " بنروح", "probability": 0.5430094401041666}, {"start": 175.35, "end": 175.77, "word": " بنعوض", "probability": 0.810302734375}, {"start": 175.77, "end": 176.01, "word": " هنا", "probability": 0.9326171875}, {"start": 176.01, "end": 176.37, "word": " جدر", "probability": 0.8575846354166666}, {"start": 176.37, "end": 176.53, "word": " الـ", "probability": 0.5296630859375}, {"start": 176.53, "end": 177.05, "word": " x1", "probability": 0.870361328125}, {"start": 177.05, "end": 177.63, "word": " f", "probability": 0.279296875}, {"start": 177.63, "end": 177.77, "word": " of", "probability": 0.98046875}, {"start": 177.77, "end": 178.29, "word": " x2", "probability": 0.994873046875}, {"start": 178.29, "end": 178.73, "word": " بنعوض", "probability": 0.8861083984375}, {"start": 178.73, "end": 178.99, "word": " بدل", "probability": 0.93505859375}, {"start": 178.99, "end": 179.09, "word": " الـ", "probability": 0.7236328125}, {"start": 179.09, "end": 179.33, "word": " x،", "probability": 0.5548095703125}, {"start": 179.33, "end": 179.75, "word": " x2", "probability": 0.718505859375}, {"start": 179.75, "end": 180.05, "word": " بتصبح", "probability": 0.53271484375}, {"start": 180.05, "end": 180.35, "word": " جدر", "probability": 0.9908854166666666}, {"start": 180.35, "end": 180.47, "word": " الـ", "probability": 0.952392578125}, {"start": 180.47, "end": 181.05, "word": " x2", "probability": 0.945068359375}, {"start": 181.05, "end": 181.87, "word": " الآن", "probability": 0.57952880859375}, {"start": 181.87, "end": 182.13, "word": " بدنا", "probability": 0.868408203125}, {"start": 182.13, "end": 182.41, "word": " نعمل", "probability": 0.9853515625}, {"start": 182.41, "end": 182.73, "word": " عادى", "probability": 0.6158854166666666}, {"start": 182.73, "end": 183.05, "word": " عملية", "probability": 0.9715169270833334}, {"start": 183.05, "end": 183.47, "word": " جبرية", "probability": 0.797607421875}, {"start": 183.47, "end": 183.83, "word": " بحيث", "probability": 0.95703125}, {"start": 183.83, "end": 184.05, "word": " انه", "probability": 0.784912109375}, {"start": 184.05, "end": 184.47, "word": " نتوصل", "probability": 0.886962890625}, {"start": 184.47, "end": 184.65, "word": " ان", "probability": 0.9169921875}, {"start": 184.65, "end": 184.91, "word": " f", "probability": 0.83837890625}, {"start": 184.91, "end": 184.93, "word": " of", "probability": 0.7939453125}, {"start": 184.93, "end": 185.15, "word": " x1", "probability": 0.9951171875}, {"start": 185.15, "end": 185.67, "word": " يساوي", "probability": 0.9359130859375}, {"start": 185.67, "end": 186.25, "word": " f", "probability": 0.802734375}, {"start": 186.25, "end": 186.25, "word": " of", "probability": 0.97216796875}, {"start": 186.25, "end": 186.59, "word": " x2", "probability": 0.989990234375}, {"start": 186.59, "end": 187.53, "word": " العملية", "probability": 0.78759765625}, {"start": 187.53, "end": 187.99, "word": " الجبرية", "probability": 0.864990234375}, {"start": 187.99, "end": 188.19, "word": " هي", "probability": 0.7470703125}, {"start": 188.19, "end": 188.87, "word": " بتربيع", "probability": 0.710205078125}, {"start": 188.87, "end": 189.51, "word": " الطرفين", "probability": 0.9085286458333334}, {"start": 189.51, "end": 189.85, "word": " ربع", "probability": 0.7694498697916666}, {"start": 189.85, "end": 190.43, "word": " الطرفين", "probability": 0.970703125}, {"start": 190.43, "end": 191.19, "word": " بنحصل", "probability": 0.86669921875}, {"start": 191.19, "end": 191.37, "word": " على", "probability": 0.7919921875}, {"start": 191.37, "end": 191.55, "word": " ان", "probability": 0.76123046875}, {"start": 191.55, "end": 191.81, "word": " f", "probability": 0.86328125}, {"start": 191.81, "end": 191.85, "word": " of", "probability": 0.9033203125}, {"start": 191.85, "end": 192.03, "word": " x1", "probability": 0.99609375}, {"start": 192.03, "end": 192.63, "word": " يساوي", "probability": 0.965576171875}, {"start": 192.63, "end": 193.11, "word": " f", "probability": 0.7939453125}, {"start": 193.11, "end": 193.11, "word": " of", "probability": 0.96923828125}, {"start": 193.11, "end": 193.43, "word": " x2", "probability": 0.99560546875}, {"start": 193.43, "end": 194.09, "word": " وبالتالي", "probability": 0.7920735677083334}, {"start": 194.09, "end": 194.33, "word": " f", "probability": 0.73876953125}, {"start": 194.33, "end": 194.65, "word": " is", "probability": 0.501953125}, {"start": 194.65, "end": 195.03, "word": " one", "probability": 0.65576171875}, {"start": 195.03, "end": 195.39, "word": " to", "probability": 0.92578125}, {"start": 195.39, "end": 195.61, "word": " one", "probability": 0.947265625}], "temperature": 1.0}, {"id": 8, "seek": 21938, "start": 196.1, "end": 219.38, "text": "على الـ domain طبعا مثل آخر show that f of x تساو�� واحد ناقص واحد على x is one to one function هنا كتبنا one to one بالأرقام طبعا هذه one to one بكل الأعداد الحقيقية مع عدد سفر domainها يعني domainها لو أخدنا x واحد و x اتنين ب two numbers in R R ناقص سفر مع عدد سفر طبعا", "tokens": [3615, 23942, 2423, 39184, 9274, 23032, 3555, 3615, 995, 50113, 1211, 19753, 34740, 855, 300, 283, 295, 2031, 6055, 3794, 995, 45865, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 2031, 307, 472, 281, 472, 2445, 34105, 9122, 2655, 3555, 8315, 472, 281, 472, 20666, 10721, 2288, 4587, 10943, 23032, 3555, 3615, 995, 29538, 472, 281, 472, 4724, 28820, 16247, 22488, 18513, 21542, 38436, 4587, 10632, 20449, 6225, 3215, 3215, 8608, 5172, 2288, 9274, 11296, 37495, 22653, 9274, 11296, 45164, 5551, 9778, 3215, 8315, 2031, 36764, 24401, 4032, 2031, 1975, 2655, 1863, 9957, 4724, 732, 3547, 294, 497, 497, 8717, 995, 4587, 9381, 8608, 5172, 2288, 20449, 6225, 3215, 3215, 8608, 5172, 2288, 23032, 3555, 3615, 995], "avg_logprob": -0.22321427995417298, "compression_ratio": 1.6991525423728813, "no_speech_prob": 4.011392593383789e-05, "words": [{"start": 196.1, "end": 196.44, "word": "على", "probability": 0.53839111328125}, {"start": 196.44, "end": 196.64, "word": " الـ", "probability": 0.7109375}, {"start": 196.64, "end": 196.88, "word": " domain", "probability": 0.82470703125}, {"start": 196.88, "end": 197.34, "word": " طبعا", "probability": 0.7635955810546875}, {"start": 197.34, "end": 199.28, "word": " مثل", "probability": 0.48095703125}, {"start": 199.28, "end": 199.9, "word": " آخر", "probability": 0.9033203125}, {"start": 199.9, "end": 200.86, "word": " show", "probability": 0.689453125}, {"start": 200.86, "end": 201.22, "word": " that", "probability": 0.90771484375}, {"start": 201.22, "end": 201.4, "word": " f", "probability": 0.7880859375}, {"start": 201.4, "end": 201.58, "word": " of", "probability": 0.42431640625}, {"start": 201.58, "end": 201.78, "word": " x", "probability": 0.82177734375}, {"start": 201.78, "end": 202.36, "word": " تساوي", "probability": 0.7265853881835938}, {"start": 202.36, "end": 202.84, "word": " واحد", "probability": 0.81005859375}, {"start": 202.84, "end": 203.2, "word": " ناقص", "probability": 0.8487548828125}, {"start": 203.2, "end": 203.54, "word": " واحد", "probability": 0.98828125}, {"start": 203.54, "end": 203.68, "word": " على", "probability": 0.7041015625}, {"start": 203.68, "end": 203.88, "word": " x", "probability": 0.7578125}, {"start": 203.88, "end": 204.12, "word": " is", "probability": 0.77294921875}, {"start": 204.12, "end": 204.34, "word": " one", "probability": 0.84912109375}, {"start": 204.34, "end": 204.46, "word": " to", "probability": 0.71142578125}, {"start": 204.46, "end": 204.6, "word": " one", "probability": 0.9580078125}, {"start": 204.6, "end": 205.02, "word": " function", "probability": 0.88671875}, {"start": 205.02, "end": 205.28, "word": " هنا", "probability": 0.452880859375}, {"start": 205.28, "end": 205.7, "word": " كتبنا", "probability": 0.8978271484375}, {"start": 205.7, "end": 205.86, "word": " one", "probability": 0.93115234375}, {"start": 205.86, "end": 206.02, "word": " to", "probability": 0.9599609375}, {"start": 206.02, "end": 206.22, "word": " one", "probability": 0.95361328125}, {"start": 206.22, "end": 207.88, "word": " بالأرقام", "probability": 0.94599609375}, {"start": 207.88, "end": 209.34, "word": " طبعا", "probability": 0.9638671875}, {"start": 209.34, "end": 209.62, "word": " هذه", "probability": 0.697265625}, {"start": 209.62, "end": 209.88, "word": " one", "probability": 0.94384765625}, {"start": 209.88, "end": 210.04, "word": " to", "probability": 0.9755859375}, {"start": 210.04, "end": 210.26, "word": " one", "probability": 0.9541015625}, {"start": 210.26, "end": 210.96, "word": " بكل", "probability": 0.91748046875}, {"start": 210.96, "end": 211.36, "word": " الأعداد", "probability": 0.9493815104166666}, {"start": 211.36, "end": 211.82, "word": " الحقيقية", "probability": 0.9844970703125}, {"start": 211.82, "end": 211.98, "word": " مع", "probability": 0.65380859375}, {"start": 211.98, "end": 212.16, "word": " عدد", "probability": 0.744140625}, {"start": 212.16, "end": 212.56, "word": " سفر", "probability": 0.798828125}, {"start": 212.56, "end": 213.12, "word": " domainها", "probability": 0.2843017578125}, {"start": 213.12, "end": 213.34, "word": " يعني", "probability": 0.867919921875}, {"start": 213.34, "end": 213.92, "word": " domainها", "probability": 0.6458740234375}, {"start": 213.92, "end": 214.46, "word": " لو", "probability": 0.83154296875}, {"start": 214.46, "end": 214.82, "word": " أخدنا", "probability": 0.921630859375}, {"start": 214.82, "end": 214.98, "word": " x", "probability": 0.89599609375}, {"start": 214.98, "end": 215.4, "word": " واحد", "probability": 0.915283203125}, {"start": 215.4, "end": 215.54, "word": " و", "probability": 0.935546875}, {"start": 215.54, "end": 215.84, "word": " x", "probability": 0.66845703125}, {"start": 215.84, "end": 216.2, "word": " اتنين", "probability": 0.8853759765625}, {"start": 216.2, "end": 216.34, "word": " ب", "probability": 0.7451171875}, {"start": 216.34, "end": 216.5, "word": " two", "probability": 0.5859375}, {"start": 216.5, "end": 216.92, "word": " numbers", "probability": 0.8154296875}, {"start": 216.92, "end": 217.18, "word": " in", "probability": 0.95361328125}, {"start": 217.18, "end": 217.52, "word": " R", "probability": 0.83740234375}, {"start": 217.52, "end": 217.84, "word": " R", "probability": 0.255859375}, {"start": 217.84, "end": 218.16, "word": " ناقص", "probability": 0.8577880859375}, {"start": 218.16, "end": 218.36, "word": " سفر", "probability": 0.9716796875}, {"start": 218.36, "end": 218.5, "word": " مع", "probability": 0.97900390625}, {"start": 218.5, "end": 218.7, "word": " عدد", "probability": 0.9873046875}, {"start": 218.7, "end": 219.0, "word": " سفر", "probability": 0.9274088541666666}, {"start": 219.0, "end": 219.38, "word": " طبعا", "probability": 0.9921875}], "temperature": 1.0}, {"id": 9, "seek": 24951, "start": 220.83, "end": 249.51, "text": "أو أخدنا f of x1 لا تساوي f .. عفوا .. f of x1 تساوي f of x2 صورتين متساويتين بنعوض f of x1 واحد ناقص واحد على x1 f of x2 واحد ناقص واحد على x2 وبنحل المعادلة هذه وبدنا نشوف هل بنوصل x1 تساوي x2 الان واحد بتروح مع واحد بضل ناقص واحد على x1 يساوي ناقص واحد على x2 بنضرب في ناقص نتوصل ان واحد على x1 يساوي واحد على x2", "tokens": [10721, 2407, 5551, 9778, 3215, 8315, 283, 295, 2031, 16, 20193, 6055, 3794, 995, 45865, 283, 4386, 6225, 5172, 14407, 4386, 283, 295, 2031, 16, 6055, 3794, 995, 45865, 283, 295, 2031, 17, 20328, 13063, 2655, 9957, 44650, 3794, 995, 45865, 2655, 9957, 44945, 3615, 2407, 11242, 283, 295, 2031, 16, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 2031, 16, 283, 295, 2031, 17, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 2031, 17, 46599, 1863, 5016, 1211, 9673, 3615, 18513, 37977, 29538, 4032, 44510, 8315, 8717, 8592, 38688, 8032, 1211, 44945, 2407, 36520, 2031, 16, 6055, 3794, 995, 45865, 2031, 17, 2423, 7649, 36764, 24401, 39894, 32887, 5016, 20449, 36764, 24401, 4724, 11242, 1211, 8717, 995, 4587, 9381, 36764, 24401, 15844, 2031, 16, 7251, 3794, 995, 45865, 8717, 995, 4587, 9381, 36764, 24401, 15844, 2031, 17, 44945, 11242, 25513, 8978, 8717, 995, 4587, 9381, 8717, 2655, 2407, 36520, 16472, 36764, 24401, 15844, 2031, 16, 7251, 3794, 995, 45865, 36764, 24401, 15844, 2031, 17], "avg_logprob": -0.16369047858530567, "compression_ratio": 2.444976076555024, "no_speech_prob": 1.2814998626708984e-05, "words": [{"start": 220.82999999999998, "end": 221.51, "word": "أو", "probability": 0.638671875}, {"start": 221.51, "end": 221.91, "word": " أخدنا", "probability": 0.728851318359375}, {"start": 221.91, "end": 222.03, "word": " f", "probability": 0.59375}, {"start": 222.03, "end": 222.17, "word": " of", "probability": 0.31103515625}, {"start": 222.17, "end": 222.71, "word": " x1", "probability": 0.77880859375}, {"start": 222.71, "end": 222.91, "word": " لا", "probability": 0.232177734375}, {"start": 222.91, "end": 223.43, "word": " تساوي", "probability": 0.960205078125}, {"start": 223.43, "end": 223.73, "word": " f", "probability": 0.41650390625}, {"start": 223.73, "end": 223.79, "word": " ..", "probability": 0.253173828125}, {"start": 223.79, "end": 224.31, "word": " عفوا", "probability": 0.8688151041666666}, {"start": 224.31, "end": 224.45, "word": " ..", "probability": 0.292724609375}, {"start": 224.45, "end": 224.61, "word": " f", "probability": 0.7041015625}, {"start": 224.61, "end": 224.75, "word": " of", "probability": 0.974609375}, {"start": 224.75, "end": 225.07, "word": " x1", "probability": 0.9853515625}, {"start": 225.07, "end": 225.53, "word": " تساوي", "probability": 0.927978515625}, {"start": 225.53, "end": 225.71, "word": " f", "probability": 0.96240234375}, {"start": 225.71, "end": 225.87, "word": " of", "probability": 0.98095703125}, {"start": 225.87, "end": 226.49, "word": " x2", "probability": 0.994384765625}, {"start": 226.49, "end": 227.73, "word": " صورتين", "probability": 0.89111328125}, {"start": 227.73, "end": 228.83, "word": " متساويتين", "probability": 0.8973795572916666}, {"start": 228.83, "end": 229.61, "word": " بنعوض", "probability": 0.7686767578125}, {"start": 229.61, "end": 229.77, "word": " f", "probability": 0.83544921875}, {"start": 229.77, "end": 229.89, "word": " of", "probability": 0.9609375}, {"start": 229.89, "end": 230.57, "word": " x1", "probability": 0.986083984375}, {"start": 230.57, "end": 231.11, "word": " واحد", "probability": 0.6595458984375}, {"start": 231.11, "end": 231.41, "word": " ناقص", "probability": 0.9581298828125}, {"start": 231.41, "end": 231.67, "word": " واحد", "probability": 0.984375}, {"start": 231.67, "end": 231.77, "word": " على", "probability": 0.65576171875}, {"start": 231.77, "end": 232.27, "word": " x1", "probability": 0.83154296875}, {"start": 232.27, "end": 232.51, "word": " f", "probability": 0.29931640625}, {"start": 232.51, "end": 232.67, "word": " of", "probability": 0.9833984375}, {"start": 232.67, "end": 233.27, "word": " x2", "probability": 0.992431640625}, {"start": 233.27, "end": 233.91, "word": " واحد", "probability": 0.987060546875}, {"start": 233.91, "end": 234.27, "word": " ناقص", "probability": 0.993408203125}, {"start": 234.27, "end": 234.53, "word": " واحد", "probability": 0.994384765625}, {"start": 234.53, "end": 234.65, "word": " على", "probability": 0.9130859375}, {"start": 234.65, "end": 235.21, "word": " x2", "probability": 0.994384765625}, {"start": 235.21, "end": 236.07, "word": " وبنحل", "probability": 0.8616943359375}, {"start": 236.07, "end": 236.73, "word": " المعادلة", "probability": 0.9896240234375}, {"start": 236.73, "end": 237.09, "word": " هذه", "probability": 0.72216796875}, {"start": 237.09, "end": 237.55, "word": " وبدنا", "probability": 0.60693359375}, {"start": 237.55, "end": 237.81, "word": " نشوف", "probability": 0.990234375}, {"start": 237.81, "end": 237.97, "word": " هل", "probability": 0.982666015625}, {"start": 237.97, "end": 238.51, "word": " بنوصل", "probability": 0.9591471354166666}, {"start": 238.51, "end": 239.33, "word": " x1", "probability": 0.91162109375}, {"start": 239.33, "end": 239.73, "word": " تساوي", "probability": 0.9429931640625}, {"start": 239.73, "end": 240.29, "word": " x2", "probability": 0.994384765625}, {"start": 240.29, "end": 241.27, "word": " الان", "probability": 0.54833984375}, {"start": 241.27, "end": 241.53, "word": " واحد", "probability": 0.91748046875}, {"start": 241.53, "end": 241.89, "word": " بتروح", "probability": 0.9124348958333334}, {"start": 241.89, "end": 242.03, "word": " مع", "probability": 0.98974609375}, {"start": 242.03, "end": 242.39, "word": " واحد", "probability": 0.986328125}, {"start": 242.39, "end": 242.73, "word": " بضل", "probability": 0.5907389322916666}, {"start": 242.73, "end": 243.07, "word": " ناقص", "probability": 0.9869384765625}, {"start": 243.07, "end": 243.37, "word": " واحد", "probability": 0.993896484375}, {"start": 243.37, "end": 243.51, "word": " على", "probability": 0.86767578125}, {"start": 243.51, "end": 244.03, "word": " x1", "probability": 0.97216796875}, {"start": 244.03, "end": 244.37, "word": " يساوي", "probability": 0.9384765625}, {"start": 244.37, "end": 244.69, "word": " ناقص", "probability": 0.989501953125}, {"start": 244.69, "end": 244.89, "word": " واحد", "probability": 0.9951171875}, {"start": 244.89, "end": 245.01, "word": " على", "probability": 0.8984375}, {"start": 245.01, "end": 245.57, "word": " x2", "probability": 0.996826171875}, {"start": 245.57, "end": 246.49, "word": " بنضرب", "probability": 0.7820638020833334}, {"start": 246.49, "end": 246.67, "word": " في", "probability": 0.849609375}, {"start": 246.67, "end": 247.11, "word": " ناقص", "probability": 0.9910888671875}, {"start": 247.11, "end": 247.57, "word": " نتوصل", "probability": 0.79559326171875}, {"start": 247.57, "end": 247.73, "word": " ان", "probability": 0.5927734375}, {"start": 247.73, "end": 248.07, "word": " واحد", "probability": 0.97412109375}, {"start": 248.07, "end": 248.15, "word": " على", "probability": 0.82763671875}, {"start": 248.15, "end": 248.53, "word": " x1", "probability": 0.98486328125}, {"start": 248.53, "end": 248.83, "word": " يساوي", "probability": 0.9678955078125}, {"start": 248.83, "end": 249.03, "word": " واحد", "probability": 0.983642578125}, {"start": 249.03, "end": 249.11, "word": " على", "probability": 0.88818359375}, {"start": 249.11, "end": 249.51, "word": " x2", "probability": 0.998291015625}], "temperature": 1.0}, {"id": 10, "seek": 25518, "start": 250.44, "end": 255.18, "text": "بنقلب الطرفين بنوصل ان X1 يساوي X2", "tokens": [3555, 1863, 4587, 46152, 41950, 28480, 9957, 44945, 2407, 36520, 16472, 1783, 16, 7251, 3794, 995, 45865, 1783, 17], "avg_logprob": -0.45351562201976775, "compression_ratio": 0.9354838709677419, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 250.44, "end": 251.22, "word": "بنقلب", "probability": 0.75689697265625}, {"start": 251.22, "end": 252.14, "word": " الطرفين", "probability": 0.83740234375}, {"start": 252.14, "end": 252.82, "word": " بنوصل", "probability": 0.5914713541666666}, {"start": 252.82, "end": 253.02, "word": " ان", "probability": 0.21826171875}, {"start": 253.02, "end": 253.5, "word": " X1", "probability": 0.42401123046875}, {"start": 253.5, "end": 254.14, "word": " يساوي", "probability": 0.738677978515625}, {"start": 254.14, "end": 255.18, "word": " X2", "probability": 0.787841796875}], "temperature": 1.0}, {"id": 11, "seek": 28138, "start": 259.6, "end": 281.38, "text": "في المثالين لاحظنا إنه لو أخدت صورتين متساويتين تطلع العناصر متساوية و لازم أخد عصورين عشوائيين يعني مابصيرش أروح ماخدة let f of x1 == x2 أخد رقمين x1 و x2 لأ لازم x1 و x2 ب any two numbers في الدمين", "tokens": [41185, 9673, 12984, 6027, 9957, 20193, 5016, 19913, 8315, 36145, 3224, 45164, 5551, 9778, 3215, 2655, 20328, 13063, 2655, 9957, 44650, 3794, 995, 2407, 36081, 9957, 6055, 9566, 1211, 3615, 18863, 1863, 33546, 2288, 44650, 3794, 995, 2407, 10632, 4032, 5296, 31377, 2304, 5551, 9778, 3215, 6225, 9381, 13063, 9957, 6225, 8592, 2407, 16373, 1829, 9957, 37495, 22653, 3714, 16758, 9381, 13546, 8592, 5551, 32887, 5016, 3714, 47283, 41891, 718, 283, 295, 2031, 16, 4141, 2031, 17, 5551, 9778, 3215, 12602, 4587, 2304, 9957, 2031, 16, 4032, 2031, 17, 5296, 10721, 5296, 31377, 2304, 2031, 16, 4032, 2031, 17, 4724, 604, 732, 3547, 8978, 32748, 2304, 9957], "avg_logprob": -0.22786458733457107, "compression_ratio": 1.603960396039604, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 259.6, "end": 259.8, "word": "في", "probability": 0.368408203125}, {"start": 259.8, "end": 260.44, "word": " المثالين", "probability": 0.9609375}, {"start": 260.44, "end": 260.94, "word": " لاحظنا", "probability": 0.8470458984375}, {"start": 260.94, "end": 261.3, "word": " إنه", "probability": 0.6192626953125}, {"start": 261.3, "end": 261.44, "word": " لو", "probability": 0.875}, {"start": 261.44, "end": 261.86, "word": " أخدت", "probability": 0.9200439453125}, {"start": 261.86, "end": 262.48, "word": " صورتين", "probability": 0.9638671875}, {"start": 262.48, "end": 263.3, "word": " متساويتين", "probability": 0.8804117838541666}, {"start": 263.3, "end": 263.92, "word": " تطلع", "probability": 0.7529296875}, {"start": 263.92, "end": 264.6, "word": " العناصر", "probability": 0.883056640625}, {"start": 264.6, "end": 265.8, "word": " متساوية", "probability": 0.9837890625}, {"start": 265.8, "end": 266.16, "word": " و", "probability": 0.66357421875}, {"start": 266.16, "end": 266.5, "word": " لازم", "probability": 0.8707682291666666}, {"start": 266.5, "end": 266.92, "word": " أخد", "probability": 0.8097330729166666}, {"start": 266.92, "end": 267.46, "word": " عصورين", "probability": 0.801025390625}, {"start": 267.46, "end": 268.2, "word": " عشوائيين", "probability": 0.8685709635416666}, {"start": 268.2, "end": 268.44, "word": " يعني", "probability": 0.726806640625}, {"start": 268.44, "end": 269.08, "word": " مابصيرش", "probability": 0.728369140625}, {"start": 269.08, "end": 269.38, "word": " أروح", "probability": 0.7698567708333334}, {"start": 269.38, "end": 270.36, "word": " ماخدة", "probability": 0.8375651041666666}, {"start": 270.36, "end": 271.18, "word": " let", "probability": 0.41455078125}, {"start": 271.18, "end": 273.22, "word": " f", "probability": 0.404296875}, {"start": 273.22, "end": 273.42, "word": " of", "probability": 0.45849609375}, {"start": 273.42, "end": 273.82, "word": " x1", "probability": 0.77392578125}, {"start": 273.82, "end": 274.1, "word": " ==", "probability": 0.007343292236328125}, {"start": 274.1, "end": 274.5, "word": " x2", "probability": 0.949951171875}, {"start": 274.5, "end": 274.88, "word": " أخد", "probability": 0.7779947916666666}, {"start": 274.88, "end": 275.42, "word": " رقمين", "probability": 0.9547119140625}, {"start": 275.42, "end": 276.02, "word": " x1", "probability": 0.861083984375}, {"start": 276.02, "end": 276.14, "word": " و", "probability": 0.89013671875}, {"start": 276.14, "end": 276.42, "word": " x2", "probability": 0.77880859375}, {"start": 276.42, "end": 276.68, "word": " لأ", "probability": 0.779296875}, {"start": 276.68, "end": 277.04, "word": " لازم", "probability": 0.974609375}, {"start": 277.04, "end": 277.56, "word": " x1", "probability": 0.959228515625}, {"start": 277.56, "end": 277.72, "word": " و", "probability": 0.9677734375}, {"start": 277.72, "end": 278.32, "word": " x2", "probability": 0.892822265625}, {"start": 278.32, "end": 278.82, "word": " ب", "probability": 0.78857421875}, {"start": 278.82, "end": 279.34, "word": " any", "probability": 0.381103515625}, {"start": 279.34, "end": 279.88, "word": " two", "probability": 0.90966796875}, {"start": 279.88, "end": 280.5, "word": " numbers", "probability": 0.85107421875}, {"start": 280.5, "end": 280.98, "word": " في", "probability": 0.92138671875}, {"start": 280.98, "end": 281.38, "word": " الدمين", "probability": 0.6739908854166666}], "temperature": 1.0}, {"id": 12, "seek": 30583, "start": 282.81, "end": 305.83, "text": "show that f of x show whether f of x هو sin x وx من 0 إلى π is one to one هنا أشوف هل ال sign في الربع الأول والثاني one to one ولا لأ طبعا احنا من معرفتنا لل sign بنعرف على أن ال sign لأي زاوية بالربع الأول هي نفسها ال sign للزاوية مكملتها بالربع التاني يعني لو جيبنا أي زاوية بالربع الأول", "tokens": [34436, 300, 283, 295, 2031, 855, 1968, 283, 295, 2031, 31439, 3343, 2031, 4032, 87, 9154, 1958, 30731, 4654, 307, 472, 281, 472, 34105, 5551, 8592, 38688, 8032, 1211, 2423, 1465, 8978, 2423, 25513, 3615, 16247, 12610, 16070, 12984, 7649, 1829, 472, 281, 472, 49429, 5296, 10721, 23032, 3555, 3615, 995, 1975, 5016, 8315, 9154, 20449, 28480, 2655, 8315, 24976, 1465, 44945, 3615, 28480, 15844, 14739, 2423, 1465, 5296, 10721, 1829, 30767, 995, 2407, 10632, 20666, 25513, 3615, 16247, 12610, 39896, 8717, 36178, 11296, 2423, 1465, 24976, 11622, 995, 2407, 10632, 3714, 24793, 1211, 2655, 11296, 20666, 25513, 3615, 16712, 7649, 1829, 37495, 22653, 45164, 10874, 1829, 3555, 8315, 36632, 30767, 995, 2407, 10632, 20666, 25513, 3615, 16247, 12610], "avg_logprob": -0.192708329235514, "compression_ratio": 1.9310344827586208, "no_speech_prob": 5.125999450683594e-06, "words": [{"start": 282.81, "end": 283.11, "word": "show", "probability": 0.24169921875}, {"start": 283.11, "end": 283.39, "word": " that", "probability": 0.74267578125}, {"start": 283.39, "end": 283.63, "word": " f", "probability": 0.66259765625}, {"start": 283.63, "end": 283.87, "word": " of", "probability": 0.320556640625}, {"start": 283.87, "end": 284.31, "word": " x", "probability": 0.873046875}, {"start": 284.31, "end": 284.69, "word": " show", "probability": 0.416015625}, {"start": 284.69, "end": 285.03, "word": " whether", "probability": 0.76953125}, {"start": 285.03, "end": 285.27, "word": " f", "probability": 0.8037109375}, {"start": 285.27, "end": 285.43, "word": " of", "probability": 0.85791015625}, {"start": 285.43, "end": 285.65, "word": " x", "probability": 0.97509765625}, {"start": 285.65, "end": 285.83, "word": " هو", "probability": 0.0987548828125}, {"start": 285.83, "end": 286.13, "word": " sin", "probability": 0.638671875}, {"start": 286.13, "end": 286.45, "word": " x", "probability": 0.7060546875}, {"start": 286.45, "end": 286.77, "word": " وx", "probability": 0.5941162109375}, {"start": 286.77, "end": 286.95, "word": " من", "probability": 0.95263671875}, {"start": 286.95, "end": 287.17, "word": " 0", "probability": 0.64404296875}, {"start": 287.17, "end": 287.39, "word": " إلى", "probability": 0.84912109375}, {"start": 287.39, "end": 287.59, "word": " π", "probability": 0.591796875}, {"start": 287.59, "end": 287.81, "word": " is", "probability": 0.419189453125}, {"start": 287.81, "end": 288.01, "word": " one", "probability": 0.7021484375}, {"start": 288.01, "end": 288.13, "word": " to", "probability": 0.87646484375}, {"start": 288.13, "end": 288.31, "word": " one", "probability": 0.95849609375}, {"start": 288.31, "end": 288.51, "word": " هنا", "probability": 0.319091796875}, {"start": 288.51, "end": 288.75, "word": " أشوف", "probability": 0.7342936197916666}, {"start": 288.75, "end": 289.33, "word": " هل", "probability": 0.8955078125}, {"start": 289.33, "end": 289.53, "word": " ال", "probability": 0.853515625}, {"start": 289.53, "end": 289.87, "word": " sign", "probability": 0.339111328125}, {"start": 289.87, "end": 290.23, "word": " في", "probability": 0.93017578125}, {"start": 290.23, "end": 290.43, "word": " الربع", "probability": 0.7323404947916666}, {"start": 290.43, "end": 290.81, "word": " الأول", "probability": 0.993896484375}, {"start": 290.81, "end": 291.35, "word": " والثاني", "probability": 0.83984375}, {"start": 291.35, "end": 291.55, "word": " one", "probability": 0.9111328125}, {"start": 291.55, "end": 291.67, "word": " to", "probability": 0.94970703125}, {"start": 291.67, "end": 291.81, "word": " one", "probability": 0.96337890625}, {"start": 291.81, "end": 291.97, "word": " ولا", "probability": 0.62939453125}, {"start": 291.97, "end": 292.31, "word": " لأ", "probability": 0.760009765625}, {"start": 292.31, "end": 293.11, "word": " طبعا", "probability": 0.924072265625}, {"start": 293.11, "end": 293.39, "word": " احنا", "probability": 0.825439453125}, {"start": 293.39, "end": 293.57, "word": " من", "probability": 0.984375}, {"start": 293.57, "end": 294.13, "word": " معرفتنا", "probability": 0.968017578125}, {"start": 294.13, "end": 294.33, "word": " لل", "probability": 0.96533203125}, {"start": 294.33, "end": 294.67, "word": " sign", "probability": 0.78466796875}, {"start": 294.67, "end": 295.23, "word": " بنعرف", "probability": 0.9319661458333334}, {"start": 295.23, "end": 295.41, "word": " على", "probability": 0.8173828125}, {"start": 295.41, "end": 295.59, "word": " أن", "probability": 0.576171875}, {"start": 295.59, "end": 295.77, "word": " ال", "probability": 0.77099609375}, {"start": 295.77, "end": 296.07, "word": " sign", "probability": 0.8984375}, {"start": 296.07, "end": 296.97, "word": " لأي", "probability": 0.9051106770833334}, {"start": 296.97, "end": 297.83, "word": " زاوية", "probability": 0.969970703125}, {"start": 297.83, "end": 298.27, "word": " بالربع", "probability": 0.8081868489583334}, {"start": 298.27, "end": 298.77, "word": " الأول", "probability": 0.99072265625}, {"start": 298.77, "end": 299.27, "word": " هي", "probability": 0.93701171875}, {"start": 299.27, "end": 299.89, "word": " نفسها", "probability": 0.9913736979166666}, {"start": 299.89, "end": 300.39, "word": " ال", "probability": 0.9228515625}, {"start": 300.39, "end": 300.77, "word": " sign", "probability": 0.9521484375}, {"start": 300.77, "end": 301.51, "word": " للزاوية", "probability": 0.910546875}, {"start": 301.51, "end": 302.25, "word": " مكملتها", "probability": 0.975390625}, {"start": 302.25, "end": 302.81, "word": " بالربع", "probability": 0.98681640625}, {"start": 302.81, "end": 303.79, "word": " التاني", "probability": 0.9313151041666666}, {"start": 303.79, "end": 304.05, "word": " يعني", "probability": 0.905517578125}, {"start": 304.05, "end": 304.19, "word": " لو", "probability": 0.9736328125}, {"start": 304.19, "end": 304.51, "word": " جيبنا", "probability": 0.9345703125}, {"start": 304.51, "end": 304.73, "word": " أي", "probability": 0.7890625}, {"start": 304.73, "end": 305.07, "word": " زاوية", "probability": 0.98828125}, {"start": 305.07, "end": 305.43, "word": " بالربع", "probability": 0.984375}, {"start": 305.43, "end": 305.83, "word": " الأول", "probability": 0.991455078125}], "temperature": 1.0}, {"id": 13, "seek": 33411, "start": 306.19, "end": 334.11, "text": "يعني بي على أربعة مكملتها بالربع تاني تلاتة بي على أربعة مكون ال sign لهم لهدول الزاويتين متساويتين إذا في حالة ما بدى أشوف أن ال function is not one to one يعني بمجرد أني أطلع عليها بعرف أن ال function is not one to one فكيف بدى أثبتها؟ بدى أجيب بمثال يبقى اثبات ال function العكس أنها not one to one يكفي أني أجيب مثل لكن إذا كنت أثبت أن ال function is one to one بنفعش إلا غير", "tokens": [40228, 22653, 4724, 1829, 15844, 5551, 25513, 27884, 3714, 24793, 1211, 2655, 11296, 20666, 25513, 3615, 6055, 7649, 1829, 6055, 1211, 9307, 3660, 4724, 1829, 15844, 5551, 25513, 27884, 3714, 30544, 2423, 1465, 5296, 16095, 46740, 3215, 12610, 6024, 110, 995, 2407, 36081, 9957, 44650, 3794, 995, 2407, 36081, 9957, 11933, 15730, 8978, 11331, 6027, 3660, 19446, 47525, 7578, 5551, 8592, 38688, 14739, 2423, 2445, 307, 406, 472, 281, 472, 37495, 22653, 4724, 2304, 7435, 2288, 3215, 14739, 1829, 5551, 9566, 1211, 3615, 25894, 11296, 4724, 3615, 28480, 14739, 2423, 2445, 307, 406, 472, 281, 472, 6156, 4117, 33911, 47525, 7578, 5551, 12984, 3555, 2655, 11296, 22807, 47525, 7578, 5551, 7435, 1829, 3555, 4724, 2304, 12984, 6027, 7251, 3555, 4587, 7578, 1975, 12984, 3555, 9307, 2423, 2445, 18863, 4117, 3794, 14739, 11296, 406, 472, 281, 472, 7251, 4117, 41185, 14739, 1829, 5551, 7435, 1829, 3555, 50113, 1211, 44381, 11933, 15730, 9122, 29399, 5551, 12984, 3555, 2655, 14739, 2423, 2445, 307, 472, 281, 472, 4724, 1863, 5172, 3615, 8592, 11933, 15040, 32771, 13546], "avg_logprob": -0.20989884772052655, "compression_ratio": 2.2074074074074073, "no_speech_prob": 3.874301910400391e-06, "words": [{"start": 306.19, "end": 306.65, "word": "يعني", "probability": 0.685546875}, {"start": 306.65, "end": 307.07, "word": " بي", "probability": 0.233489990234375}, {"start": 307.07, "end": 307.23, "word": " على", "probability": 0.759765625}, {"start": 307.23, "end": 307.63, "word": " أربعة", "probability": 0.79833984375}, {"start": 307.63, "end": 308.31, "word": " مكملتها", "probability": 0.84462890625}, {"start": 308.31, "end": 308.69, "word": " بالربع", "probability": 0.76123046875}, {"start": 308.69, "end": 309.01, "word": " تاني", "probability": 0.7010904947916666}, {"start": 309.01, "end": 309.37, "word": " تلاتة", "probability": 0.874755859375}, {"start": 309.37, "end": 309.47, "word": " بي", "probability": 0.919921875}, {"start": 309.47, "end": 309.61, "word": " على", "probability": 0.9296875}, {"start": 309.61, "end": 310.01, "word": " أربعة", "probability": 0.9259440104166666}, {"start": 310.01, "end": 310.59, "word": " مكون", "probability": 0.653076171875}, {"start": 310.59, "end": 310.71, "word": " ال", "probability": 0.84716796875}, {"start": 310.71, "end": 310.93, "word": " sign", "probability": 0.50146484375}, {"start": 310.93, "end": 311.21, "word": " لهم", "probability": 0.739013671875}, {"start": 311.21, "end": 311.59, "word": " لهدول", "probability": 0.732421875}, {"start": 311.59, "end": 312.25, "word": " الزاويتين", "probability": 0.8561197916666666}, {"start": 312.25, "end": 313.53, "word": " متساويتين", "probability": 0.9143880208333334}, {"start": 313.53, "end": 314.21, "word": " إذا", "probability": 0.746826171875}, {"start": 314.21, "end": 314.41, "word": " في", "probability": 0.92236328125}, {"start": 314.41, "end": 314.75, "word": " حالة", "probability": 0.99267578125}, {"start": 314.75, "end": 314.83, "word": " ما", "probability": 0.89453125}, {"start": 314.83, "end": 315.09, "word": " بدى", "probability": 0.5526123046875}, {"start": 315.09, "end": 315.43, "word": " أشوف", "probability": 0.9347330729166666}, {"start": 315.43, "end": 315.57, "word": " أن", "probability": 0.43359375}, {"start": 315.57, "end": 315.73, "word": " ال", "probability": 0.90185546875}, {"start": 315.73, "end": 316.05, "word": " function", "probability": 0.84765625}, {"start": 316.05, "end": 316.33, "word": " is", "probability": 0.74609375}, {"start": 316.33, "end": 317.77, "word": " not", "probability": 0.92236328125}, {"start": 317.77, "end": 317.99, "word": " one", "probability": 0.79736328125}, {"start": 317.99, "end": 318.09, "word": " to", "probability": 0.7158203125}, {"start": 318.09, "end": 318.27, "word": " one", "probability": 0.9541015625}, {"start": 318.27, "end": 318.59, "word": " يعني", "probability": 0.6842041015625}, {"start": 318.59, "end": 319.33, "word": " بمجرد", "probability": 0.95537109375}, {"start": 319.33, "end": 319.59, "word": " أني", "probability": 0.842041015625}, {"start": 319.59, "end": 320.05, "word": " أطلع", "probability": 0.858642578125}, {"start": 320.05, "end": 320.43, "word": " عليها", "probability": 0.98876953125}, {"start": 320.43, "end": 321.05, "word": " بعرف", "probability": 0.6280924479166666}, {"start": 321.05, "end": 321.21, "word": " أن", "probability": 0.84228515625}, {"start": 321.21, "end": 321.33, "word": " ال", "probability": 0.970703125}, {"start": 321.33, "end": 321.57, "word": " function", "probability": 0.92626953125}, {"start": 321.57, "end": 321.79, "word": " is", "probability": 0.8955078125}, {"start": 321.79, "end": 321.99, "word": " not", "probability": 0.96044921875}, {"start": 321.99, "end": 322.19, "word": " one", "probability": 0.96435546875}, {"start": 322.19, "end": 322.31, "word": " to", "probability": 0.96923828125}, {"start": 322.31, "end": 322.57, "word": " one", "probability": 0.9501953125}, {"start": 322.57, "end": 323.31, "word": " فكيف", "probability": 0.74169921875}, {"start": 323.31, "end": 323.43, "word": " بدى", "probability": 0.74462890625}, {"start": 323.43, "end": 324.01, "word": " أثبتها؟", "probability": 0.9142252604166666}, {"start": 324.01, "end": 324.23, "word": " بدى", "probability": 0.7174072265625}, {"start": 324.23, "end": 324.55, "word": " أجيب", "probability": 0.9840087890625}, {"start": 324.55, "end": 325.25, "word": " بمثال", "probability": 0.8985595703125}, {"start": 325.25, "end": 325.59, "word": " يبقى", "probability": 0.86181640625}, {"start": 325.59, "end": 325.99, "word": " اثبات", "probability": 0.7105712890625}, {"start": 325.99, "end": 326.19, "word": " ال", "probability": 0.96337890625}, {"start": 326.19, "end": 326.53, "word": " function", "probability": 0.9560546875}, {"start": 326.53, "end": 326.99, "word": " العكس", "probability": 0.9679361979166666}, {"start": 326.99, "end": 327.23, "word": " أنها", "probability": 0.686767578125}, {"start": 327.23, "end": 327.45, "word": " not", "probability": 0.93798828125}, {"start": 327.45, "end": 327.69, "word": " one", "probability": 0.958984375}, {"start": 327.69, "end": 327.85, "word": " to", "probability": 0.97412109375}, {"start": 327.85, "end": 328.03, "word": " one", "probability": 0.94921875}, {"start": 328.03, "end": 328.63, "word": " يكفي", "probability": 0.9510091145833334}, {"start": 328.63, "end": 328.85, "word": " أني", "probability": 0.837890625}, {"start": 328.85, "end": 329.15, "word": " أجيب", "probability": 0.984619140625}, {"start": 329.15, "end": 329.55, "word": " مثل", "probability": 0.7646484375}, {"start": 329.55, "end": 330.25, "word": " لكن", "probability": 0.8896484375}, {"start": 330.25, "end": 330.77, "word": " إذا", "probability": 0.926025390625}, {"start": 330.77, "end": 330.91, "word": " كنت", "probability": 0.70849609375}, {"start": 330.91, "end": 331.27, "word": " أثبت", "probability": 0.963623046875}, {"start": 331.27, "end": 331.41, "word": " أن", "probability": 0.84814453125}, {"start": 331.41, "end": 331.53, "word": " ال", "probability": 0.9599609375}, {"start": 331.53, "end": 331.79, "word": " function", "probability": 0.96630859375}, {"start": 331.79, "end": 332.11, "word": " is", "probability": 0.95263671875}, {"start": 332.11, "end": 332.35, "word": " one", "probability": 0.95849609375}, {"start": 332.35, "end": 332.49, "word": " to", "probability": 0.97412109375}, {"start": 332.49, "end": 332.73, "word": " one", "probability": 0.9453125}, {"start": 332.73, "end": 333.57, "word": " بنفعش", "probability": 0.7534912109375}, {"start": 333.57, "end": 333.75, "word": " إلا", "probability": 0.91748046875}, {"start": 333.75, "end": 334.11, "word": " غير", "probability": 0.98828125}], "temperature": 1.0}, {"id": 14, "seek": 36466, "start": 335.36, "end": 364.66, "text": "بالتعريف لأي يعني لأي عنصرين X1 و X2 عشوائية يبقى في هذه الحالة it is enough here to give an example يبقى في حالة أني بدي أثبت بدي أشوفها هي أو أنا عرفت أنها هي one not one to one لكن بس بدي أثبته يكفي أني أجيب مثل فبقولنا أي زاوية مكملتها هم غير متساويتين لكن ال sign لهم متساوي لهدول الزاويتين اللي يساوي واحد على جدد اتنين وبالتالي ال F is not one to one", "tokens": [3555, 6027, 2655, 3615, 16572, 5172, 5296, 10721, 1829, 37495, 22653, 5296, 10721, 1829, 18871, 9381, 2288, 9957, 1783, 16, 4032, 1783, 17, 6225, 8592, 2407, 16373, 10632, 7251, 3555, 4587, 7578, 8978, 29538, 21542, 6027, 3660, 309, 307, 1547, 510, 281, 976, 364, 1365, 7251, 3555, 4587, 7578, 8978, 11331, 6027, 3660, 14739, 1829, 4724, 16254, 5551, 12984, 3555, 2655, 4724, 16254, 5551, 8592, 38688, 11296, 39896, 34051, 41850, 6225, 28480, 2655, 14739, 11296, 39896, 472, 406, 472, 281, 472, 44381, 4724, 3794, 4724, 16254, 5551, 12984, 3555, 47395, 7251, 4117, 41185, 14739, 1829, 5551, 7435, 1829, 3555, 50113, 1211, 6156, 3555, 39648, 8315, 36632, 30767, 995, 2407, 10632, 3714, 24793, 1211, 2655, 11296, 8032, 2304, 32771, 13546, 44650, 3794, 995, 45865, 2655, 9957, 44381, 2423, 1465, 5296, 16095, 44650, 3794, 995, 45865, 46740, 3215, 12610, 6024, 110, 995, 2407, 36081, 9957, 13672, 1829, 7251, 3794, 995, 45865, 36764, 24401, 15844, 10874, 3215, 3215, 1975, 2655, 1863, 9957, 46599, 6027, 2655, 6027, 1829, 2423, 479, 307, 406, 472, 281, 472], "avg_logprob": -0.18677325442779896, "compression_ratio": 1.888157894736842, "no_speech_prob": 7.706880569458008e-05, "words": [{"start": 335.36, "end": 336.0, "word": "بالتعريف", "probability": 0.907958984375}, {"start": 336.0, "end": 336.64, "word": " لأي", "probability": 0.6817220052083334}, {"start": 336.64, "end": 337.62, "word": " يعني", "probability": 0.7120361328125}, {"start": 337.62, "end": 338.0, "word": " لأي", "probability": 0.9435221354166666}, {"start": 338.0, "end": 338.66, "word": " عنصرين", "probability": 0.890380859375}, {"start": 338.66, "end": 339.16, "word": " X1", "probability": 0.6341552734375}, {"start": 339.16, "end": 339.34, "word": " و", "probability": 0.9228515625}, {"start": 339.34, "end": 339.88, "word": " X2", "probability": 0.8935546875}, {"start": 339.88, "end": 340.98, "word": " عشوائية", "probability": 0.9203125}, {"start": 340.98, "end": 341.8, "word": " يبقى", "probability": 0.9649658203125}, {"start": 341.8, "end": 341.92, "word": " في", "probability": 0.95947265625}, {"start": 341.92, "end": 342.08, "word": " هذه", "probability": 0.71826171875}, {"start": 342.08, "end": 342.5, "word": " الحالة", "probability": 0.98193359375}, {"start": 342.5, "end": 342.64, "word": " it", "probability": 0.67333984375}, {"start": 342.64, "end": 342.78, "word": " is", "probability": 0.90234375}, {"start": 342.78, "end": 343.06, "word": " enough", "probability": 0.8896484375}, {"start": 343.06, "end": 343.36, "word": " here", "probability": 0.62548828125}, {"start": 343.36, "end": 343.56, "word": " to", "probability": 0.9345703125}, {"start": 343.56, "end": 343.78, "word": " give", "probability": 0.8857421875}, {"start": 343.78, "end": 344.12, "word": " an", "probability": 0.830078125}, {"start": 344.12, "end": 344.78, "word": " example", "probability": 0.95751953125}, {"start": 344.78, "end": 345.34, "word": " يبقى", "probability": 0.9676513671875}, {"start": 345.34, "end": 345.46, "word": " في", "probability": 0.92578125}, {"start": 345.46, "end": 345.86, "word": " حالة", "probability": 0.94189453125}, {"start": 345.86, "end": 346.06, "word": " أني", "probability": 0.5501708984375}, {"start": 346.06, "end": 346.18, "word": " بدي", "probability": 0.661376953125}, {"start": 346.18, "end": 346.5, "word": " أثبت", "probability": 0.9593505859375}, {"start": 346.5, "end": 346.88, "word": " بدي", "probability": 0.6072998046875}, {"start": 346.88, "end": 347.28, "word": " أشوفها", "probability": 0.7906494140625}, {"start": 347.28, "end": 347.48, "word": " هي", "probability": 0.81884765625}, {"start": 347.48, "end": 347.98, "word": " أو", "probability": 0.448974609375}, {"start": 347.98, "end": 348.18, "word": " أنا", "probability": 0.73974609375}, {"start": 348.18, "end": 348.5, "word": " عرفت", "probability": 0.9708658854166666}, {"start": 348.5, "end": 348.74, "word": " أنها", "probability": 0.4918212890625}, {"start": 348.74, "end": 348.86, "word": " هي", "probability": 0.81982421875}, {"start": 348.86, "end": 349.06, "word": " one", "probability": 0.441162109375}, {"start": 349.06, "end": 349.38, "word": " not", "probability": 0.66357421875}, {"start": 349.38, "end": 349.62, "word": " one", "probability": 0.9189453125}, {"start": 349.62, "end": 349.76, "word": " to", "probability": 0.875}, {"start": 349.76, "end": 349.9, "word": " one", "probability": 0.95361328125}, {"start": 349.9, "end": 350.18, "word": " لكن", "probability": 0.875}, {"start": 350.18, "end": 350.5, "word": " بس", "probability": 0.9765625}, {"start": 350.5, "end": 350.92, "word": " بدي", "probability": 0.91748046875}, {"start": 350.92, "end": 352.04, "word": " أثبته", "probability": 0.8765869140625}, {"start": 352.04, "end": 352.58, "word": " يكفي", "probability": 0.9567057291666666}, {"start": 352.58, "end": 352.82, "word": " أني", "probability": 0.668212890625}, {"start": 352.82, "end": 353.18, "word": " أجيب", "probability": 0.9820556640625}, {"start": 353.18, "end": 353.68, "word": " مثل", "probability": 0.81298828125}, {"start": 353.68, "end": 354.64, "word": " فبقولنا", "probability": 0.816162109375}, {"start": 354.64, "end": 354.84, "word": " أي", "probability": 0.837890625}, {"start": 354.84, "end": 355.18, "word": " زاوية", "probability": 0.9608154296875}, {"start": 355.18, "end": 355.84, "word": " مكملتها", "probability": 0.92392578125}, {"start": 355.84, "end": 355.98, "word": " هم", "probability": 0.889404296875}, {"start": 355.98, "end": 356.24, "word": " غير", "probability": 0.986572265625}, {"start": 356.24, "end": 357.04, "word": " متساويتين", "probability": 0.9267578125}, {"start": 357.04, "end": 357.56, "word": " لكن", "probability": 0.943359375}, {"start": 357.56, "end": 357.9, "word": " ال", "probability": 0.9052734375}, {"start": 357.9, "end": 358.14, "word": " sign", "probability": 0.497314453125}, {"start": 358.14, "end": 358.6, "word": " لهم", "probability": 0.699951171875}, {"start": 358.6, "end": 359.48, "word": " متساوي", "probability": 0.979248046875}, {"start": 359.48, "end": 359.84, "word": " لهدول", "probability": 0.7154947916666666}, {"start": 359.84, "end": 360.42, "word": " الزاويتين", "probability": 0.865966796875}, {"start": 360.42, "end": 360.56, "word": " اللي", "probability": 0.628662109375}, {"start": 360.56, "end": 360.84, "word": " يساوي", "probability": 0.6939697265625}, {"start": 360.84, "end": 361.1, "word": " واحد", "probability": 0.942138671875}, {"start": 361.1, "end": 361.28, "word": " على", "probability": 0.8515625}, {"start": 361.28, "end": 361.9, "word": " جدد", "probability": 0.805419921875}, {"start": 361.9, "end": 362.38, "word": " اتنين", "probability": 0.9381103515625}, {"start": 362.38, "end": 362.84, "word": " وبالتالي", "probability": 0.94697265625}, {"start": 362.84, "end": 363.0, "word": " ال", "probability": 0.86572265625}, {"start": 363.0, "end": 363.12, "word": " F", "probability": 0.6552734375}, {"start": 363.12, "end": 363.36, "word": " is", "probability": 0.8984375}, {"start": 363.36, "end": 363.62, "word": " not", "probability": 0.9638671875}, {"start": 363.62, "end": 363.96, "word": " one", "probability": 0.95166015625}, {"start": 363.96, "end": 364.48, "word": " to", "probability": 0.97021484375}, {"start": 364.48, "end": 364.66, "word": " one", "probability": 0.951171875}], "temperature": 1.0}, {"id": 15, "seek": 39018, "start": 365.56, "end": 390.18, "text": "مثلًا مثل آخر show whether f of x تساوي ثلاثة ماخص اتنين x تربيع نشوف هل هي one to one ولا لأ؟ طبعًا بمجرد النظر بنلاحظ على انه فيها ان x تربيع اذا عوضت بعدد سالب او عوضت بعدد موجب بيطلعوا زي بعض، اذا ممكن اجيب عناصر كثيرة وماينطبقش عليها ال definition، يبقى برضه في هذه الحالة يكفي ان انا اجيب مثال", "tokens": [2304, 12984, 1211, 14111, 995, 50113, 1211, 19753, 34740, 855, 1968, 283, 295, 2031, 6055, 3794, 995, 45865, 38637, 1211, 5718, 104, 3660, 3714, 47283, 9381, 1975, 2655, 1863, 9957, 2031, 6055, 25513, 40228, 8717, 8592, 38688, 8032, 1211, 39896, 472, 281, 472, 49429, 5296, 10721, 22807, 23032, 3555, 3615, 14111, 995, 4724, 2304, 7435, 2288, 3215, 28239, 19913, 2288, 44945, 15040, 5016, 19913, 15844, 16472, 3224, 8978, 11296, 16472, 2031, 6055, 25513, 40228, 1975, 15730, 6225, 2407, 11242, 2655, 4724, 22488, 3215, 8608, 6027, 3555, 1975, 2407, 6225, 2407, 11242, 2655, 4724, 22488, 3215, 3714, 29245, 3555, 4724, 1829, 9566, 1211, 3615, 14407, 30767, 1829, 45030, 11242, 12399, 1975, 15730, 3714, 43020, 1975, 7435, 1829, 3555, 18871, 33546, 2288, 9122, 12984, 48923, 4032, 15042, 9957, 9566, 3555, 4587, 8592, 25894, 11296, 2423, 7123, 12399, 7251, 3555, 4587, 7578, 4724, 43042, 3224, 8978, 29538, 21542, 6027, 3660, 7251, 4117, 41185, 16472, 1975, 8315, 1975, 7435, 1829, 3555, 50113, 6027], "avg_logprob": -0.24101562704890966, "compression_ratio": 1.7370242214532872, "no_speech_prob": 5.4836273193359375e-06, "words": [{"start": 365.56, "end": 366.1, "word": "مثلًا", "probability": 0.81875}, {"start": 366.1, "end": 366.42, "word": " مثل", "probability": 0.8203125}, {"start": 366.42, "end": 366.88, "word": " آخر", "probability": 0.764892578125}, {"start": 366.88, "end": 367.42, "word": " show", "probability": 0.4794921875}, {"start": 367.42, "end": 367.7, "word": " whether", "probability": 0.61474609375}, {"start": 367.7, "end": 367.92, "word": " f", "probability": 0.681640625}, {"start": 367.92, "end": 368.12, "word": " of", "probability": 0.2452392578125}, {"start": 368.12, "end": 368.32, "word": " x", "probability": 0.80322265625}, {"start": 368.32, "end": 368.68, "word": " تساوي", "probability": 0.6898288726806641}, {"start": 368.68, "end": 369.18, "word": " ثلاثة", "probability": 0.83212890625}, {"start": 369.18, "end": 369.52, "word": " ماخص", "probability": 0.383544921875}, {"start": 369.52, "end": 369.78, "word": " اتنين", "probability": 0.8099365234375}, {"start": 369.78, "end": 370.0, "word": " x", "probability": 0.791015625}, {"start": 370.0, "end": 370.44, "word": " تربيع", "probability": 0.71337890625}, {"start": 370.44, "end": 371.42, "word": " نشوف", "probability": 0.7123209635416666}, {"start": 371.42, "end": 371.66, "word": " هل", "probability": 0.939697265625}, {"start": 371.66, "end": 371.76, "word": " هي", "probability": 0.7177734375}, {"start": 371.76, "end": 371.9, "word": " one", "probability": 0.8935546875}, {"start": 371.9, "end": 372.04, "word": " to", "probability": 0.81298828125}, {"start": 372.04, "end": 372.18, "word": " one", "probability": 0.96044921875}, {"start": 372.18, "end": 372.36, "word": " ولا", "probability": 0.75146484375}, {"start": 372.36, "end": 373.04, "word": " لأ؟", "probability": 0.6639811197916666}, {"start": 373.04, "end": 373.38, "word": " طبعًا", "probability": 0.8712890625}, {"start": 373.38, "end": 374.24, "word": " بمجرد", "probability": 0.95986328125}, {"start": 374.24, "end": 374.6, "word": " النظر", "probability": 0.9832356770833334}, {"start": 374.6, "end": 375.08, "word": " بنلاحظ", "probability": 0.88916015625}, {"start": 375.08, "end": 375.22, "word": " على", "probability": 0.363525390625}, {"start": 375.22, "end": 375.52, "word": " انه", "probability": 0.5931396484375}, {"start": 375.52, "end": 375.74, "word": " فيها", "probability": 0.6888427734375}, {"start": 375.74, "end": 375.84, "word": " ان", "probability": 0.417724609375}, {"start": 375.84, "end": 376.06, "word": " x", "probability": 0.443115234375}, {"start": 376.06, "end": 376.5, "word": " تربيع", "probability": 0.9181315104166666}, {"start": 376.5, "end": 376.82, "word": " اذا", "probability": 0.5216064453125}, {"start": 376.82, "end": 377.62, "word": " عوضت", "probability": 0.8753662109375}, {"start": 377.62, "end": 377.98, "word": " بعدد", "probability": 0.8109537760416666}, {"start": 377.98, "end": 378.34, "word": " سالب", "probability": 0.88916015625}, {"start": 378.34, "end": 378.56, "word": " او", "probability": 0.82763671875}, {"start": 378.56, "end": 378.98, "word": " عوضت", "probability": 0.963623046875}, {"start": 378.98, "end": 379.3, "word": " بعدد", "probability": 0.8650716145833334}, {"start": 379.3, "end": 379.76, "word": " موجب", "probability": 0.9049479166666666}, {"start": 379.76, "end": 380.52, "word": " بيطلعوا", "probability": 0.710205078125}, {"start": 380.52, "end": 380.7, "word": " زي", "probability": 0.874755859375}, {"start": 380.7, "end": 381.26, "word": " بعض،", "probability": 0.8197428385416666}, {"start": 381.26, "end": 381.52, "word": " اذا", "probability": 0.6109619140625}, {"start": 381.52, "end": 382.32, "word": " ممكن", "probability": 0.9794921875}, {"start": 382.32, "end": 382.68, "word": " اجيب", "probability": 0.8995361328125}, {"start": 382.68, "end": 383.08, "word": " عناصر", "probability": 0.9827473958333334}, {"start": 383.08, "end": 383.56, "word": " كثيرة", "probability": 0.96630859375}, {"start": 383.56, "end": 385.92, "word": " وماينطبقش", "probability": 0.94384765625}, {"start": 385.92, "end": 386.3, "word": " عليها", "probability": 0.989013671875}, {"start": 386.3, "end": 386.48, "word": " ال", "probability": 0.94384765625}, {"start": 386.48, "end": 387.28, "word": " definition،", "probability": 0.5211181640625}, {"start": 387.28, "end": 387.52, "word": " يبقى", "probability": 0.9302978515625}, {"start": 387.52, "end": 387.76, "word": " برضه", "probability": 0.8976236979166666}, {"start": 387.76, "end": 387.88, "word": " في", "probability": 0.98681640625}, {"start": 387.88, "end": 388.04, "word": " هذه", "probability": 0.91455078125}, {"start": 388.04, "end": 388.38, "word": " الحالة", "probability": 0.9886067708333334}, {"start": 388.38, "end": 388.68, "word": " يكفي", "probability": 0.9560546875}, {"start": 388.68, "end": 388.84, "word": " ان", "probability": 0.810546875}, {"start": 388.84, "end": 389.06, "word": " انا", "probability": 0.828125}, {"start": 389.06, "end": 389.5, "word": " اجيب", "probability": 0.93310546875}, {"start": 389.5, "end": 390.18, "word": " مثال", "probability": 0.905517578125}], "temperature": 1.0}, {"id": 16, "seek": 41632, "start": 390.52, "end": 416.32, "text": "وأي مثال ممكن نجيبه مثلا ناقص واحد لا تساوي واحد لكن f of سالب واحد تساوي واحد اللي هي نفسها f of واحد بالتعويض هنا لأنها صورة الواحد وصورة السالب واحد زي معرفة إذا ال function f is not one to one طيب هذه طريقة إذا هذه التعريف نثبت أن ال function one to one أو not one to one باستخدام التعريف طب في هنا طريقة تانية", "tokens": [2407, 10721, 1829, 50113, 6027, 3714, 43020, 8717, 7435, 1829, 3555, 3224, 50113, 15040, 8717, 995, 4587, 9381, 36764, 24401, 20193, 6055, 3794, 995, 45865, 36764, 24401, 44381, 283, 295, 8608, 6027, 3555, 36764, 24401, 6055, 3794, 995, 45865, 36764, 24401, 13672, 1829, 39896, 8717, 36178, 11296, 283, 295, 36764, 24401, 20666, 2655, 3615, 45865, 11242, 34105, 5296, 33456, 11296, 20328, 13063, 3660, 2423, 14407, 24401, 4032, 9381, 13063, 3660, 21136, 6027, 3555, 36764, 24401, 30767, 1829, 20449, 28480, 3660, 11933, 15730, 2423, 2445, 283, 307, 406, 472, 281, 472, 23032, 1829, 3555, 29538, 23032, 16572, 28671, 11933, 15730, 29538, 16712, 3615, 16572, 5172, 8717, 12984, 3555, 2655, 14739, 2423, 2445, 472, 281, 472, 34051, 406, 472, 281, 472, 4724, 995, 14851, 9778, 3215, 10943, 16712, 3615, 16572, 5172, 23032, 3555, 8978, 34105, 23032, 16572, 28671, 6055, 7649, 10632], "avg_logprob": -0.21875000042574747, "compression_ratio": 2.0778688524590163, "no_speech_prob": 1.5914440155029297e-05, "words": [{"start": 390.52, "end": 390.98, "word": "وأي", "probability": 0.51806640625}, {"start": 390.98, "end": 391.36, "word": " مثال", "probability": 0.966064453125}, {"start": 391.36, "end": 391.66, "word": " ممكن", "probability": 0.9140625}, {"start": 391.66, "end": 392.06, "word": " نجيبه", "probability": 0.95009765625}, {"start": 392.06, "end": 392.36, "word": " مثلا", "probability": 0.73828125}, {"start": 392.36, "end": 392.72, "word": " ناقص", "probability": 0.674346923828125}, {"start": 392.72, "end": 392.98, "word": " واحد", "probability": 0.858642578125}, {"start": 392.98, "end": 393.1, "word": " لا", "probability": 0.724609375}, {"start": 393.1, "end": 393.48, "word": " تساوي", "probability": 0.765625}, {"start": 393.48, "end": 393.88, "word": " واحد", "probability": 0.9853515625}, {"start": 393.88, "end": 394.6, "word": " لكن", "probability": 0.7353515625}, {"start": 394.6, "end": 394.9, "word": " f", "probability": 0.351806640625}, {"start": 394.9, "end": 395.1, "word": " of", "probability": 0.5595703125}, {"start": 395.1, "end": 395.48, "word": " سالب", "probability": 0.8058268229166666}, {"start": 395.48, "end": 395.76, "word": " واحد", "probability": 0.98974609375}, {"start": 395.76, "end": 396.16, "word": " تساوي", "probability": 0.9461669921875}, {"start": 396.16, "end": 396.5, "word": " واحد", "probability": 0.993408203125}, {"start": 396.5, "end": 396.64, "word": " اللي", "probability": 0.5650634765625}, {"start": 396.64, "end": 396.78, "word": " هي", "probability": 0.463134765625}, {"start": 396.78, "end": 397.12, "word": " نفسها", "probability": 0.9772135416666666}, {"start": 397.12, "end": 397.34, "word": " f", "probability": 0.720703125}, {"start": 397.34, "end": 397.62, "word": " of", "probability": 0.8681640625}, {"start": 397.62, "end": 398.28, "word": " واحد", "probability": 0.991943359375}, {"start": 398.28, "end": 398.9, "word": " بالتعويض", "probability": 0.851171875}, {"start": 398.9, "end": 399.16, "word": " هنا", "probability": 0.89111328125}, {"start": 399.16, "end": 399.62, "word": " لأنها", "probability": 0.7140299479166666}, {"start": 399.62, "end": 400.72, "word": " صورة", "probability": 0.8702799479166666}, {"start": 400.72, "end": 401.06, "word": " الواحد", "probability": 0.90625}, {"start": 401.06, "end": 401.4, "word": " وصورة", "probability": 0.9305419921875}, {"start": 401.4, "end": 401.74, "word": " السالب", "probability": 0.8894856770833334}, {"start": 401.74, "end": 402.1, "word": " واحد", "probability": 0.98095703125}, {"start": 402.1, "end": 402.6, "word": " زي", "probability": 0.6824951171875}, {"start": 402.6, "end": 403.04, "word": " معرفة", "probability": 0.622802734375}, {"start": 403.04, "end": 403.42, "word": " إذا", "probability": 0.630126953125}, {"start": 403.42, "end": 403.86, "word": " ال", "probability": 0.8974609375}, {"start": 403.86, "end": 404.22, "word": " function", "probability": 0.67919921875}, {"start": 404.22, "end": 404.58, "word": " f", "probability": 0.450927734375}, {"start": 404.58, "end": 404.94, "word": " is", "probability": 0.82421875}, {"start": 404.94, "end": 405.58, "word": " not", "probability": 0.9541015625}, {"start": 405.58, "end": 406.1, "word": " one", "probability": 0.93701171875}, {"start": 406.1, "end": 406.48, "word": " to", "probability": 0.86962890625}, {"start": 406.48, "end": 406.92, "word": " one", "probability": 0.958984375}, {"start": 406.92, "end": 409.16, "word": " طيب", "probability": 0.6437174479166666}, {"start": 409.16, "end": 409.4, "word": " هذه", "probability": 0.591796875}, {"start": 409.4, "end": 409.78, "word": " طريقة", "probability": 0.8536783854166666}, {"start": 409.78, "end": 409.96, "word": " إذا", "probability": 0.632080078125}, {"start": 409.96, "end": 410.14, "word": " هذه", "probability": 0.39892578125}, {"start": 410.14, "end": 410.74, "word": " التعريف", "probability": 0.8846435546875}, {"start": 410.74, "end": 411.18, "word": " نثبت", "probability": 0.838623046875}, {"start": 411.18, "end": 411.34, "word": " أن", "probability": 0.529296875}, {"start": 411.34, "end": 411.46, "word": " ال", "probability": 0.67333984375}, {"start": 411.46, "end": 411.72, "word": " function", "probability": 0.8251953125}, {"start": 411.72, "end": 411.96, "word": " one", "probability": 0.86669921875}, {"start": 411.96, "end": 412.12, "word": " to", "probability": 0.95458984375}, {"start": 412.12, "end": 412.32, "word": " one", "probability": 0.95166015625}, {"start": 412.32, "end": 412.6, "word": " أو", "probability": 0.865234375}, {"start": 412.6, "end": 412.8, "word": " not", "probability": 0.91357421875}, {"start": 412.8, "end": 413.02, "word": " one", "probability": 0.96728515625}, {"start": 413.02, "end": 413.12, "word": " to", "probability": 0.96826171875}, {"start": 413.12, "end": 413.22, "word": " one", "probability": 0.955078125}, {"start": 413.22, "end": 413.9, "word": " باستخدام", "probability": 0.9827473958333334}, {"start": 413.9, "end": 414.56, "word": " التعريف", "probability": 0.9942626953125}, {"start": 414.56, "end": 415.28, "word": " طب", "probability": 0.783935546875}, {"start": 415.28, "end": 415.38, "word": " في", "probability": 0.7666015625}, {"start": 415.38, "end": 415.52, "word": " هنا", "probability": 0.73095703125}, {"start": 415.52, "end": 415.88, "word": " طريقة", "probability": 0.9913736979166666}, {"start": 415.88, "end": 416.32, "word": " تانية", "probability": 0.9671223958333334}], "temperature": 1.0}, {"id": 17, "seek": 44235, "start": 416.71, "end": 442.35, "text": "لإثبات أنها ليست one-to-one أو one-to-one اللي بيسموها الـhorizontal line test اللي هو اختبار الخط الأفقي for one-to-one functions لو أخدنا أي function f of x بتكون one-to-one if and only if يعني إذا وإذا فقط the graph its graph يعني اللي هو رسمته intersects each horizontal line at most once", "tokens": [1211, 28814, 12984, 3555, 9307, 14739, 11296, 32239, 14851, 472, 12, 1353, 12, 546, 34051, 472, 12, 1353, 12, 546, 13672, 1829, 4724, 1829, 38251, 2407, 11296, 2423, 39184, 2335, 590, 896, 304, 1622, 1500, 13672, 1829, 31439, 1975, 46456, 3555, 9640, 33962, 9566, 16247, 5172, 38436, 337, 472, 12, 1353, 12, 546, 6828, 45164, 5551, 9778, 3215, 8315, 36632, 2445, 283, 295, 2031, 39894, 30544, 472, 12, 1353, 12, 546, 498, 293, 787, 498, 37495, 22653, 11933, 15730, 4032, 28814, 15730, 6156, 47432, 264, 4295, 1080, 4295, 37495, 22653, 13672, 1829, 31439, 12602, 38251, 47395, 27815, 82, 1184, 12750, 1622, 412, 881, 1564], "avg_logprob": -0.20252975963410877, "compression_ratio": 1.668103448275862, "no_speech_prob": 2.1457672119140625e-06, "words": [{"start": 416.71, "end": 417.69, "word": "لإثبات", "probability": 0.797900390625}, {"start": 417.69, "end": 418.07, "word": " أنها", "probability": 0.671630859375}, {"start": 418.07, "end": 418.55, "word": " ليست", "probability": 0.76611328125}, {"start": 418.55, "end": 419.09, "word": " one", "probability": 0.2467041015625}, {"start": 419.09, "end": 419.27, "word": "-to", "probability": 0.66455078125}, {"start": 419.27, "end": 419.45, "word": "-one", "probability": 0.950927734375}, {"start": 419.45, "end": 419.71, "word": " أو", "probability": 0.8828125}, {"start": 419.71, "end": 420.01, "word": " one", "probability": 0.7177734375}, {"start": 420.01, "end": 420.21, "word": "-to", "probability": 0.928955078125}, {"start": 420.21, "end": 420.49, "word": "-one", "probability": 0.947509765625}, {"start": 420.49, "end": 420.87, "word": " اللي", "probability": 0.6590576171875}, {"start": 420.87, "end": 421.37, "word": " بيسموها", "probability": 0.834326171875}, {"start": 421.37, "end": 422.21, "word": " الـhorizontal", "probability": 0.7804158528645834}, {"start": 422.21, "end": 422.57, "word": " line", "probability": 0.85400390625}, {"start": 422.57, "end": 423.05, "word": " test", "probability": 0.80908203125}, {"start": 423.05, "end": 423.79, "word": " اللي", "probability": 0.783935546875}, {"start": 423.79, "end": 423.89, "word": " هو", "probability": 0.86865234375}, {"start": 423.89, "end": 425.11, "word": " اختبار", "probability": 0.8765869140625}, {"start": 425.11, "end": 425.51, "word": " الخط", "probability": 0.973876953125}, {"start": 425.51, "end": 426.23, "word": " الأفقي", "probability": 0.9212239583333334}, {"start": 426.23, "end": 426.77, "word": " for", "probability": 0.395263671875}, {"start": 426.77, "end": 427.01, "word": " one", "probability": 0.94189453125}, {"start": 427.01, "end": 427.15, "word": "-to", "probability": 0.963623046875}, {"start": 427.15, "end": 427.33, "word": "-one", "probability": 0.95703125}, {"start": 427.33, "end": 427.95, "word": " functions", "probability": 0.76806640625}, {"start": 427.95, "end": 428.55, "word": " لو", "probability": 0.8203125}, {"start": 428.55, "end": 428.99, "word": " أخدنا", "probability": 0.9237060546875}, {"start": 428.99, "end": 429.17, "word": " أي", "probability": 0.8369140625}, {"start": 429.17, "end": 429.51, "word": " function", "probability": 0.763671875}, {"start": 429.51, "end": 429.71, "word": " f", "probability": 0.79248046875}, {"start": 429.71, "end": 429.89, "word": " of", "probability": 0.36474609375}, {"start": 429.89, "end": 430.19, "word": " x", "probability": 0.6640625}, {"start": 430.19, "end": 431.01, "word": " بتكون", "probability": 0.84130859375}, {"start": 431.01, "end": 431.25, "word": " one", "probability": 0.9443359375}, {"start": 431.25, "end": 431.37, "word": "-to", "probability": 0.96337890625}, {"start": 431.37, "end": 431.57, "word": "-one", "probability": 0.965087890625}, {"start": 431.57, "end": 431.87, "word": " if", "probability": 0.90087890625}, {"start": 431.87, "end": 432.15, "word": " and", "probability": 0.9326171875}, {"start": 432.15, "end": 432.43, "word": " only", "probability": 0.91162109375}, {"start": 432.43, "end": 432.87, "word": " if", "probability": 0.97900390625}, {"start": 432.87, "end": 433.13, "word": " يعني", "probability": 0.77392578125}, {"start": 433.13, "end": 433.33, "word": " إذا", "probability": 0.976806640625}, {"start": 433.33, "end": 433.63, "word": " وإذا", "probability": 0.9541015625}, {"start": 433.63, "end": 434.05, "word": " فقط", "probability": 0.98388671875}, {"start": 434.05, "end": 434.29, "word": " the", "probability": 0.1851806640625}, {"start": 434.29, "end": 434.81, "word": " graph", "probability": 0.962890625}, {"start": 434.81, "end": 435.11, "word": " its", "probability": 0.474609375}, {"start": 435.11, "end": 435.67, "word": " graph", "probability": 0.94970703125}, {"start": 435.67, "end": 435.99, "word": " يعني", "probability": 0.835693359375}, {"start": 435.99, "end": 436.61, "word": " اللي", "probability": 0.914794921875}, {"start": 436.61, "end": 436.85, "word": " هو", "probability": 0.916015625}, {"start": 436.85, "end": 437.73, "word": " رسمته", "probability": 0.9830729166666666}, {"start": 437.73, "end": 439.45, "word": " intersects", "probability": 0.863037109375}, {"start": 439.45, "end": 439.87, "word": " each", "probability": 0.935546875}, {"start": 439.87, "end": 440.55, "word": " horizontal", "probability": 0.84375}, {"start": 440.55, "end": 441.19, "word": " line", "probability": 0.94921875}, {"start": 441.19, "end": 441.53, "word": " at", "probability": 0.96875}, {"start": 441.53, "end": 441.93, "word": " most", "probability": 0.91064453125}, {"start": 441.93, "end": 442.35, "word": " once", "probability": 0.87451171875}], "temperature": 1.0}, {"id": 18, "seek": 47238, "start": 443.1, "end": 472.38, "text": "رسم المنحنة تبع الـ function بيقطع الـ horizontal line بالكتير بنقطة واحدة يعني طبعا هذه الطريقة تستخدم لل functions فقط اللي احنا نعرف نرسمها أما function أنا ماعرفش أرسمها بستخدمش هذه الطريقة يعني ال X تكيب مثلا نعرف نرسمها نروح رسمين function X تكيب لأن أي خط أفقي لو رسمنا خطوط أفقية كثيرة لهذه ال function كل الخطوط الأفقية تقطع ال function بنقطة واحدة فقط", "tokens": [2288, 38251, 9673, 1863, 5016, 1863, 3660, 6055, 3555, 3615, 2423, 39184, 2445, 4724, 1829, 47432, 3615, 2423, 39184, 12750, 1622, 20666, 4117, 2655, 13546, 44945, 47432, 3660, 36764, 24401, 3660, 37495, 22653, 23032, 3555, 3615, 995, 29538, 41950, 16572, 28671, 6055, 14851, 9778, 40448, 24976, 6828, 6156, 47432, 13672, 1829, 1975, 5016, 8315, 8717, 3615, 28480, 8717, 2288, 38251, 11296, 5551, 15042, 2445, 41850, 19446, 3615, 28480, 8592, 5551, 2288, 38251, 11296, 4724, 14851, 9778, 40448, 8592, 29538, 41950, 16572, 28671, 37495, 22653, 2423, 1783, 6055, 4117, 1829, 3555, 50113, 15040, 8717, 3615, 28480, 8717, 2288, 38251, 11296, 8717, 32887, 5016, 12602, 38251, 9957, 2445, 1783, 6055, 4117, 1829, 3555, 5296, 33456, 36632, 16490, 9566, 5551, 5172, 38436, 45164, 12602, 38251, 8315, 16490, 9566, 2407, 9566, 5551, 5172, 4587, 10632, 9122, 12984, 48923, 46740, 24192, 2423, 2445, 28242, 33962, 9566, 2407, 9566, 16247, 5172, 4587, 10632, 6055, 47432, 3615, 2423, 2445, 44945, 47432, 3660, 36764, 24401, 3660, 6156, 47432], "avg_logprob": -0.19477872374635305, "compression_ratio": 2.164233576642336, "no_speech_prob": 2.771615982055664e-05, "words": [{"start": 443.1, "end": 443.82, "word": "رسم", "probability": 0.36468505859375}, {"start": 443.82, "end": 444.62, "word": " المنحنة", "probability": 0.76124267578125}, {"start": 444.62, "end": 444.86, "word": " تبع", "probability": 0.6651204427083334}, {"start": 444.86, "end": 445.0, "word": " الـ", "probability": 0.747314453125}, {"start": 445.0, "end": 445.38, "word": " function", "probability": 0.67138671875}, {"start": 445.38, "end": 446.76, "word": " بيقطع", "probability": 0.85894775390625}, {"start": 446.76, "end": 447.76, "word": " الـ", "probability": 0.6905517578125}, {"start": 447.76, "end": 448.1, "word": " horizontal", "probability": 0.748046875}, {"start": 448.1, "end": 448.58, "word": " line", "probability": 0.92626953125}, {"start": 448.58, "end": 449.42, "word": " بالكتير", "probability": 0.9658203125}, {"start": 449.42, "end": 449.98, "word": " بنقطة", "probability": 0.94677734375}, {"start": 449.98, "end": 450.46, "word": " واحدة", "probability": 0.9905598958333334}, {"start": 450.46, "end": 451.12, "word": " يعني", "probability": 0.693359375}, {"start": 451.12, "end": 451.78, "word": " طبعا", "probability": 0.93798828125}, {"start": 451.78, "end": 452.0, "word": " هذه", "probability": 0.7197265625}, {"start": 452.0, "end": 452.4, "word": " الطريقة", "probability": 0.984375}, {"start": 452.4, "end": 452.92, "word": " تستخدم", "probability": 0.9866943359375}, {"start": 452.92, "end": 453.14, "word": " لل", "probability": 0.88671875}, {"start": 453.14, "end": 453.52, "word": " functions", "probability": 0.59033203125}, {"start": 453.52, "end": 453.94, "word": " فقط", "probability": 0.969970703125}, {"start": 453.94, "end": 454.24, "word": " اللي", "probability": 0.8740234375}, {"start": 454.24, "end": 454.48, "word": " احنا", "probability": 0.794921875}, {"start": 454.48, "end": 454.88, "word": " نعرف", "probability": 0.6156412760416666}, {"start": 454.88, "end": 455.52, "word": " نرسمها", "probability": 0.980224609375}, {"start": 455.52, "end": 456.34, "word": " أما", "probability": 0.781982421875}, {"start": 456.34, "end": 456.68, "word": " function", "probability": 0.486328125}, {"start": 456.68, "end": 456.84, "word": " أنا", "probability": 0.5966796875}, {"start": 456.84, "end": 457.22, "word": " ماعرفش", "probability": 0.7452392578125}, {"start": 457.22, "end": 457.52, "word": " أرسمها", "probability": 0.911376953125}, {"start": 457.52, "end": 458.16, "word": " بستخدمش", "probability": 0.787939453125}, {"start": 458.16, "end": 458.36, "word": " هذه", "probability": 0.73583984375}, {"start": 458.36, "end": 458.88, "word": " الطريقة", "probability": 0.9921875}, {"start": 458.88, "end": 459.5, "word": " يعني", "probability": 0.889892578125}, {"start": 459.5, "end": 459.62, "word": " ال", "probability": 0.81396484375}, {"start": 459.62, "end": 459.8, "word": " X", "probability": 0.29931640625}, {"start": 459.8, "end": 460.14, "word": " تكيب", "probability": 0.9100341796875}, {"start": 460.14, "end": 460.48, "word": " مثلا", "probability": 0.861083984375}, {"start": 460.48, "end": 460.8, "word": " نعرف", "probability": 0.8583984375}, {"start": 460.8, "end": 461.18, "word": " نرسمها", "probability": 0.922119140625}, {"start": 461.18, "end": 461.4, "word": " نروح", "probability": 0.833984375}, {"start": 461.4, "end": 461.76, "word": " رسمين", "probability": 0.78759765625}, {"start": 461.76, "end": 462.02, "word": " function", "probability": 0.73193359375}, {"start": 462.02, "end": 462.34, "word": " X", "probability": 0.93115234375}, {"start": 462.34, "end": 462.78, "word": " تكيب", "probability": 0.99462890625}, {"start": 462.78, "end": 464.0, "word": " لأن", "probability": 0.76611328125}, {"start": 464.0, "end": 464.3, "word": " أي", "probability": 0.6474609375}, {"start": 464.3, "end": 464.6, "word": " خط", "probability": 0.993408203125}, {"start": 464.6, "end": 465.12, "word": " أفقي", "probability": 0.8987630208333334}, {"start": 465.12, "end": 465.86, "word": " لو", "probability": 0.1888427734375}, {"start": 465.86, "end": 466.34, "word": " رسمنا", "probability": 0.9773763020833334}, {"start": 466.34, "end": 466.68, "word": " خطوط", "probability": 0.890625}, {"start": 466.68, "end": 467.16, "word": " أفقية", "probability": 0.961181640625}, {"start": 467.16, "end": 467.66, "word": " كثيرة", "probability": 0.9705403645833334}, {"start": 467.66, "end": 468.08, "word": " لهذه", "probability": 0.808837890625}, {"start": 468.08, "end": 468.2, "word": " ال", "probability": 0.94384765625}, {"start": 468.2, "end": 468.56, "word": " function", "probability": 0.599609375}, {"start": 468.56, "end": 469.2, "word": " كل", "probability": 0.958984375}, {"start": 469.2, "end": 469.66, "word": " الخطوط", "probability": 0.9251708984375}, {"start": 469.66, "end": 470.24, "word": " الأفقية", "probability": 0.9754638671875}, {"start": 470.24, "end": 470.68, "word": " تقطع", "probability": 0.9886067708333334}, {"start": 470.68, "end": 470.78, "word": " ال", "probability": 0.900390625}, {"start": 470.78, "end": 471.08, "word": " function", "probability": 0.9375}, {"start": 471.08, "end": 471.66, "word": " بنقطة", "probability": 0.9811197916666666}, {"start": 471.66, "end": 472.08, "word": " واحدة", "probability": 0.9910481770833334}, {"start": 472.08, "end": 472.38, "word": " فقط", "probability": 0.994140625}], "temperature": 1.0}, {"id": 19, "seek": 49414, "start": 472.7, "end": 494.14, "text": "وبالتالي على طول بقول الـ function هذي is one to one مثلا مثال أخر الـ function جدر ال X بنعرف نرسمها بنروح رسمين جدر ال X لو اجيت رسمت أي خط أفقي أي خط أفقي بلاقي بيقطع ال function بنقط�� واحدة فقط فبهذه الحالة بنقول ان ال function هذي is one to one", "tokens": [37746, 6027, 2655, 6027, 1829, 15844, 23032, 12610, 4724, 39648, 2423, 39184, 2445, 8032, 8848, 1829, 307, 472, 281, 472, 50113, 15040, 50113, 6027, 5551, 34740, 2423, 39184, 2445, 10874, 3215, 2288, 2423, 1783, 44945, 3615, 28480, 8717, 2288, 38251, 11296, 44945, 32887, 5016, 12602, 38251, 9957, 10874, 3215, 2288, 2423, 1783, 45164, 1975, 7435, 36081, 12602, 38251, 2655, 36632, 16490, 9566, 5551, 5172, 38436, 36632, 16490, 9566, 5551, 5172, 38436, 4724, 15040, 38436, 4724, 1829, 47432, 3615, 2423, 2445, 44945, 47432, 3660, 36764, 24401, 3660, 6156, 47432, 6156, 3555, 3224, 24192, 21542, 6027, 3660, 44945, 39648, 16472, 2423, 2445, 8032, 8848, 1829, 307, 472, 281, 472], "avg_logprob": -0.2045717616048124, "compression_ratio": 1.9898477157360406, "no_speech_prob": 4.178285598754883e-05, "words": [{"start": 472.7, "end": 473.28, "word": "وبالتالي", "probability": 0.9048828125}, {"start": 473.28, "end": 473.46, "word": " على", "probability": 0.308837890625}, {"start": 473.46, "end": 473.66, "word": " طول", "probability": 0.98681640625}, {"start": 473.66, "end": 473.9, "word": " بقول", "probability": 0.83642578125}, {"start": 473.9, "end": 474.06, "word": " الـ", "probability": 0.6109619140625}, {"start": 474.06, "end": 474.3, "word": " function", "probability": 0.7255859375}, {"start": 474.3, "end": 474.64, "word": " هذي", "probability": 0.5326334635416666}, {"start": 474.64, "end": 474.84, "word": " is", "probability": 0.58349609375}, {"start": 474.84, "end": 475.08, "word": " one", "probability": 0.71728515625}, {"start": 475.08, "end": 475.54, "word": " to", "probability": 0.884765625}, {"start": 475.54, "end": 475.76, "word": " one", "probability": 0.95703125}, {"start": 475.76, "end": 477.04, "word": " مثلا", "probability": 0.6341552734375}, {"start": 477.04, "end": 477.54, "word": " مثال", "probability": 0.680419921875}, {"start": 477.54, "end": 477.78, "word": " أخر", "probability": 0.703369140625}, {"start": 477.78, "end": 478.02, "word": " الـ", "probability": 0.770751953125}, {"start": 478.02, "end": 478.2, "word": " function", "probability": 0.9443359375}, {"start": 478.2, "end": 478.68, "word": " جدر", "probability": 0.8955078125}, {"start": 478.68, "end": 478.8, "word": " ال", "probability": 0.87158203125}, {"start": 478.8, "end": 479.04, "word": " X", "probability": 0.57958984375}, {"start": 479.04, "end": 479.58, "word": " بنعرف", "probability": 0.6227213541666666}, {"start": 479.58, "end": 480.16, "word": " نرسمها", "probability": 0.97216796875}, {"start": 480.16, "end": 480.66, "word": " بنروح", "probability": 0.7622884114583334}, {"start": 480.66, "end": 481.02, "word": " رسمين", "probability": 0.83837890625}, {"start": 481.02, "end": 481.32, "word": " جدر", "probability": 0.9905598958333334}, {"start": 481.32, "end": 481.42, "word": " ال", "probability": 0.9521484375}, {"start": 481.42, "end": 481.6, "word": " X", "probability": 0.96875}, {"start": 481.6, "end": 482.12, "word": " لو", "probability": 0.9306640625}, {"start": 482.12, "end": 482.54, "word": " اجيت", "probability": 0.6407063802083334}, {"start": 482.54, "end": 483.16, "word": " رسمت", "probability": 0.9689127604166666}, {"start": 483.16, "end": 483.42, "word": " أي", "probability": 0.65087890625}, {"start": 483.42, "end": 483.78, "word": " خط", "probability": 0.994384765625}, {"start": 483.78, "end": 484.3, "word": " أفقي", "probability": 0.9368489583333334}, {"start": 484.3, "end": 484.62, "word": " أي", "probability": 0.479736328125}, {"start": 484.62, "end": 484.98, "word": " خط", "probability": 0.996826171875}, {"start": 484.98, "end": 485.42, "word": " أفقي", "probability": 0.9637044270833334}, {"start": 485.42, "end": 486.04, "word": " بلاقي", "probability": 0.93017578125}, {"start": 486.04, "end": 486.68, "word": " بيقطع", "probability": 0.9814453125}, {"start": 486.68, "end": 486.86, "word": " ال", "probability": 0.970703125}, {"start": 486.86, "end": 487.22, "word": " function", "probability": 0.751953125}, {"start": 487.22, "end": 487.82, "word": " بنقطة", "probability": 0.96044921875}, {"start": 487.82, "end": 488.38, "word": " واحدة", "probability": 0.9894205729166666}, {"start": 488.38, "end": 488.86, "word": " فقط", "probability": 0.984375}, {"start": 488.86, "end": 489.54, "word": " فبهذه", "probability": 0.865234375}, {"start": 489.54, "end": 490.22, "word": " الحالة", "probability": 0.9905598958333334}, {"start": 490.22, "end": 490.64, "word": " بنقول", "probability": 0.9169921875}, {"start": 490.64, "end": 490.86, "word": " ان", "probability": 0.428466796875}, {"start": 490.86, "end": 491.0, "word": " ال", "probability": 0.9609375}, {"start": 491.0, "end": 491.28, "word": " function", "probability": 0.52001953125}, {"start": 491.28, "end": 492.06, "word": " هذي", "probability": 0.8732096354166666}, {"start": 492.06, "end": 492.4, "word": " is", "probability": 0.85888671875}, {"start": 492.4, "end": 493.4, "word": " one", "probability": 0.9365234375}, {"start": 493.4, "end": 493.72, "word": " to", "probability": 0.96728515625}, {"start": 493.72, "end": 494.14, "word": " one", "probability": 0.95361328125}], "temperature": 1.0}, {"id": 20, "seek": 52345, "start": 495.97, "end": 523.45, "text": "نجي للـ function x تربيع الـ function x تربيع اللي هي رسمتها لو جيت لخط أفقي بنلاقي ان الـ function a بترفق قطعها بنقطتين طبعا هنا أي خط أفقي ماعدا هذا ماعدا الـ x أكس يتقع بنقطة واحدة طبعا لو أبدا تكون الـ function is not one to one يكفي خط واحد لكن إذا كانت one to one لازم تكون كل الخطوط كل الخطوط شايفين الـ x واحد وx اتنين أي أعداد تنتمي للدنيا", "tokens": [1863, 7435, 1829, 24976, 39184, 2445, 2031, 6055, 25513, 40228, 2423, 39184, 2445, 2031, 6055, 25513, 40228, 13672, 1829, 39896, 12602, 38251, 2655, 11296, 45164, 10874, 36081, 5296, 9778, 9566, 5551, 5172, 38436, 44945, 15040, 38436, 16472, 2423, 39184, 2445, 257, 39894, 28480, 4587, 12174, 9566, 3615, 11296, 44945, 47432, 2655, 9957, 23032, 3555, 3615, 995, 34105, 36632, 16490, 9566, 5551, 5172, 38436, 19446, 3615, 28259, 23758, 19446, 3615, 28259, 2423, 39184, 2031, 5551, 4117, 3794, 7251, 2655, 4587, 3615, 44945, 47432, 3660, 36764, 24401, 3660, 23032, 3555, 3615, 995, 45164, 5551, 3555, 28259, 6055, 30544, 2423, 39184, 2445, 307, 406, 472, 281, 472, 7251, 4117, 41185, 16490, 9566, 36764, 24401, 44381, 11933, 15730, 25961, 2655, 472, 281, 472, 5296, 31377, 2304, 6055, 30544, 28242, 33962, 9566, 2407, 9566, 28242, 33962, 9566, 2407, 9566, 13412, 995, 33911, 9957, 2423, 39184, 2031, 36764, 24401, 4032, 87, 1975, 2655, 1863, 9957, 36632, 5551, 22488, 18513, 6055, 29399, 2304, 1829, 24976, 3215, 22653, 995], "avg_logprob": -0.24093363847997454, "compression_ratio": 2.1358490566037736, "no_speech_prob": 5.364418029785156e-06, "words": [{"start": 495.97, "end": 496.59, "word": "نجي", "probability": 0.4415690104166667}, {"start": 496.59, "end": 496.87, "word": " للـ", "probability": 0.689453125}, {"start": 496.87, "end": 497.07, "word": " function", "probability": 0.62841796875}, {"start": 497.07, "end": 497.31, "word": " x", "probability": 0.490966796875}, {"start": 497.31, "end": 497.73, "word": " تربيع", "probability": 0.5384114583333334}, {"start": 497.73, "end": 498.01, "word": " الـ", "probability": 0.602294921875}, {"start": 498.01, "end": 498.21, "word": " function", "probability": 0.73876953125}, {"start": 498.21, "end": 498.47, "word": " x", "probability": 0.77783203125}, {"start": 498.47, "end": 498.97, "word": " تربيع", "probability": 0.9423828125}, {"start": 498.97, "end": 499.19, "word": " اللي", "probability": 0.542724609375}, {"start": 499.19, "end": 499.35, "word": " هي", "probability": 0.974609375}, {"start": 499.35, "end": 500.03, "word": " رسمتها", "probability": 0.9716796875}, {"start": 500.03, "end": 500.49, "word": " لو", "probability": 0.8359375}, {"start": 500.49, "end": 500.83, "word": " جيت", "probability": 0.732421875}, {"start": 500.83, "end": 501.23, "word": " لخط", "probability": 0.9444986979166666}, {"start": 501.23, "end": 501.73, "word": " أفقي", "probability": 0.8610026041666666}, {"start": 501.73, "end": 502.67, "word": " بنلاقي", "probability": 0.9085286458333334}, {"start": 502.67, "end": 502.87, "word": " ان", "probability": 0.494140625}, {"start": 502.87, "end": 503.11, "word": " الـ", "probability": 0.766357421875}, {"start": 503.11, "end": 503.33, "word": " function", "probability": 0.92724609375}, {"start": 503.33, "end": 503.57, "word": " a", "probability": 0.2413330078125}, {"start": 503.57, "end": 504.15, "word": " بترفق", "probability": 0.2836710611979167}, {"start": 504.15, "end": 504.61, "word": " قطعها", "probability": 0.8692626953125}, {"start": 504.61, "end": 505.37, "word": " بنقطتين", "probability": 0.79443359375}, {"start": 505.37, "end": 506.11, "word": " طبعا", "probability": 0.9674072265625}, {"start": 506.11, "end": 506.33, "word": " هنا", "probability": 0.86083984375}, {"start": 506.33, "end": 506.65, "word": " أي", "probability": 0.63525390625}, {"start": 506.65, "end": 506.95, "word": " خط", "probability": 0.996337890625}, {"start": 506.95, "end": 507.23, "word": " أفقي", "probability": 0.8235677083333334}, {"start": 507.23, "end": 507.63, "word": " ماعدا", "probability": 0.4740397135416667}, {"start": 507.63, "end": 507.91, "word": " هذا", "probability": 0.669921875}, {"start": 507.91, "end": 508.35, "word": " ماعدا", "probability": 0.96142578125}, {"start": 508.35, "end": 508.49, "word": " الـ", "probability": 0.744873046875}, {"start": 508.49, "end": 508.65, "word": " x", "probability": 0.83740234375}, {"start": 508.65, "end": 508.95, "word": " أكس", "probability": 0.7430826822916666}, {"start": 508.95, "end": 509.35, "word": " يتقع", "probability": 0.738525390625}, {"start": 509.35, "end": 509.75, "word": " بنقطة", "probability": 0.98291015625}, {"start": 509.75, "end": 510.21, "word": " واحدة", "probability": 0.9842122395833334}, {"start": 510.21, "end": 510.73, "word": " طبعا", "probability": 0.9849853515625}, {"start": 510.73, "end": 510.85, "word": " لو", "probability": 0.89599609375}, {"start": 510.85, "end": 511.09, "word": " أبدا", "probability": 0.52197265625}, {"start": 511.09, "end": 511.43, "word": " تكون", "probability": 0.978271484375}, {"start": 511.43, "end": 511.65, "word": " الـ", "probability": 0.7529296875}, {"start": 511.65, "end": 511.91, "word": " function", "probability": 0.9296875}, {"start": 511.91, "end": 512.51, "word": " is", "probability": 0.865234375}, {"start": 512.51, "end": 512.77, "word": " not", "probability": 0.9580078125}, {"start": 512.77, "end": 512.95, "word": " one", "probability": 0.88818359375}, {"start": 512.95, "end": 513.09, "word": " to", "probability": 0.77099609375}, {"start": 513.09, "end": 513.29, "word": " one", "probability": 0.9521484375}, {"start": 513.29, "end": 513.77, "word": " يكفي", "probability": 0.94189453125}, {"start": 513.77, "end": 514.07, "word": " خط", "probability": 0.991943359375}, {"start": 514.07, "end": 514.53, "word": " واحد", "probability": 0.989990234375}, {"start": 514.53, "end": 515.05, "word": " لكن", "probability": 0.86328125}, {"start": 515.05, "end": 515.37, "word": " إذا", "probability": 0.888671875}, {"start": 515.37, "end": 515.71, "word": " كانت", "probability": 0.98974609375}, {"start": 515.71, "end": 515.85, "word": " one", "probability": 0.93701171875}, {"start": 515.85, "end": 516.01, "word": " to", "probability": 0.96728515625}, {"start": 516.01, "end": 516.13, "word": " one", "probability": 0.951171875}, {"start": 516.13, "end": 516.45, "word": " لازم", "probability": 0.9794921875}, {"start": 516.45, "end": 516.73, "word": " تكون", "probability": 0.94482421875}, {"start": 516.73, "end": 517.07, "word": " كل", "probability": 0.98583984375}, {"start": 517.07, "end": 517.97, "word": " الخطوط", "probability": 0.9310302734375}, {"start": 517.97, "end": 518.23, "word": " كل", "probability": 0.7265625}, {"start": 518.23, "end": 518.65, "word": " الخطوط", "probability": 0.9915771484375}, {"start": 518.65, "end": 518.99, "word": " شايفين", "probability": 0.8984375}, {"start": 518.99, "end": 519.15, "word": " الـ", "probability": 0.68212890625}, {"start": 519.15, "end": 519.33, "word": " x", "probability": 0.7158203125}, {"start": 519.33, "end": 519.69, "word": " واحد", "probability": 0.838134765625}, {"start": 519.69, "end": 519.93, "word": " وx", "probability": 0.699462890625}, {"start": 519.93, "end": 520.25, "word": " اتنين", "probability": 0.9144287109375}, {"start": 520.25, "end": 520.65, "word": " أي", "probability": 0.4384765625}, {"start": 520.65, "end": 521.91, "word": " أعداد", "probability": 0.7826334635416666}, {"start": 521.91, "end": 522.99, "word": " تنتمي", "probability": 0.975341796875}, {"start": 522.99, "end": 523.45, "word": " للدنيا", "probability": 0.9619140625}], "temperature": 1.0}, {"id": 21, "seek": 54483, "start": 523.55, "end": 544.83, "text": "لكن في حالة none to one to one يكفي أن أجيب مثال واحد فقط بتكون ال function is not one to one يبقى يكفي هنا خط واحد لقيته بيقطع بأكثر من نقطة يبقى طول بيقول ال function is not one to one وهي ال sign المثال اللي أخدناه في باية على ستة و خمسة باية على ستة أي زاوية مكملتها بياخد نفس القيمة", "tokens": [1211, 19452, 8978, 11331, 6027, 3660, 6022, 281, 472, 281, 472, 7251, 4117, 41185, 14739, 5551, 7435, 1829, 3555, 50113, 6027, 36764, 24401, 6156, 47432, 39894, 30544, 2423, 2445, 307, 406, 472, 281, 472, 7251, 3555, 4587, 7578, 7251, 4117, 41185, 34105, 16490, 9566, 36764, 24401, 5296, 4587, 36081, 3224, 4724, 1829, 47432, 3615, 4724, 10721, 4117, 49115, 9154, 8717, 47432, 3660, 7251, 3555, 4587, 7578, 23032, 12610, 4724, 1829, 39648, 2423, 2445, 307, 406, 472, 281, 472, 37037, 1829, 2423, 1465, 9673, 12984, 6027, 13672, 1829, 5551, 9778, 3215, 8315, 3224, 8978, 4724, 995, 10632, 15844, 8608, 2655, 3660, 4032, 16490, 2304, 3794, 3660, 4724, 995, 10632, 15844, 8608, 2655, 3660, 36632, 30767, 995, 2407, 10632, 3714, 24793, 1211, 2655, 11296, 4724, 1829, 47283, 3215, 8717, 36178, 25062, 32640, 3660], "avg_logprob": -0.22348484205025615, "compression_ratio": 1.9482758620689655, "no_speech_prob": 1.1861324310302734e-05, "words": [{"start": 523.55, "end": 523.95, "word": "لكن", "probability": 0.649658203125}, {"start": 523.95, "end": 524.05, "word": " في", "probability": 0.84130859375}, {"start": 524.05, "end": 524.41, "word": " حالة", "probability": 0.9763997395833334}, {"start": 524.41, "end": 524.57, "word": " none", "probability": 0.2110595703125}, {"start": 524.57, "end": 524.71, "word": " to", "probability": 0.5458984375}, {"start": 524.71, "end": 524.85, "word": " one", "probability": 0.8349609375}, {"start": 524.85, "end": 524.95, "word": " to", "probability": 0.9609375}, {"start": 524.95, "end": 525.07, "word": " one", "probability": 0.95458984375}, {"start": 525.07, "end": 525.39, "word": " يكفي", "probability": 0.8483072916666666}, {"start": 525.39, "end": 525.57, "word": " أن", "probability": 0.53369140625}, {"start": 525.57, "end": 525.97, "word": " أجيب", "probability": 0.7667236328125}, {"start": 525.97, "end": 526.87, "word": " مثال", "probability": 0.6995849609375}, {"start": 526.87, "end": 527.21, "word": " واحد", "probability": 0.950927734375}, {"start": 527.21, "end": 527.65, "word": " فقط", "probability": 0.969970703125}, {"start": 527.65, "end": 529.25, "word": " بتكون", "probability": 0.54388427734375}, {"start": 529.25, "end": 529.37, "word": " ال", "probability": 0.81982421875}, {"start": 529.37, "end": 529.61, "word": " function", "probability": 0.57666015625}, {"start": 529.61, "end": 529.87, "word": " is", "probability": 0.85107421875}, {"start": 529.87, "end": 530.11, "word": " not", "probability": 0.9423828125}, {"start": 530.11, "end": 530.41, "word": " one", "probability": 0.94970703125}, {"start": 530.41, "end": 530.53, "word": " to", "probability": 0.9541015625}, {"start": 530.53, "end": 530.71, "word": " one", "probability": 0.953125}, {"start": 530.71, "end": 531.09, "word": " يبقى", "probability": 0.802734375}, {"start": 531.09, "end": 531.39, "word": " يكفي", "probability": 0.9514973958333334}, {"start": 531.39, "end": 531.63, "word": " هنا", "probability": 0.796875}, {"start": 531.63, "end": 531.91, "word": " خط", "probability": 0.988525390625}, {"start": 531.91, "end": 532.35, "word": " واحد", "probability": 0.987548828125}, {"start": 532.35, "end": 533.59, "word": " لقيته", "probability": 0.656829833984375}, {"start": 533.59, "end": 533.97, "word": " بيقطع", "probability": 0.9654541015625}, {"start": 533.97, "end": 534.31, "word": " بأكثر", "probability": 0.7899169921875}, {"start": 534.31, "end": 534.45, "word": " من", "probability": 0.97900390625}, {"start": 534.45, "end": 534.83, "word": " نقطة", "probability": 0.9903971354166666}, {"start": 534.83, "end": 535.09, "word": " يبقى", "probability": 0.92919921875}, {"start": 535.09, "end": 535.27, "word": " طول", "probability": 0.720458984375}, {"start": 535.27, "end": 535.51, "word": " بيقول", "probability": 0.70947265625}, {"start": 535.51, "end": 535.63, "word": " ال", "probability": 0.92431640625}, {"start": 535.63, "end": 535.89, "word": " function", "probability": 0.89697265625}, {"start": 535.89, "end": 536.15, "word": " is", "probability": 0.94384765625}, {"start": 536.15, "end": 536.43, "word": " not", "probability": 0.95947265625}, {"start": 536.43, "end": 536.75, "word": " one", "probability": 0.95458984375}, {"start": 536.75, "end": 536.89, "word": " to", "probability": 0.974609375}, {"start": 536.89, "end": 537.13, "word": " one", "probability": 0.95166015625}, {"start": 537.13, "end": 537.69, "word": " وهي", "probability": 0.86181640625}, {"start": 537.69, "end": 537.83, "word": " ال", "probability": 0.88916015625}, {"start": 537.83, "end": 538.07, "word": " sign", "probability": 0.8447265625}, {"start": 538.07, "end": 538.49, "word": " المثال", "probability": 0.8693033854166666}, {"start": 538.49, "end": 538.61, "word": " اللي", "probability": 0.857177734375}, {"start": 538.61, "end": 539.41, "word": " أخدناه", "probability": 0.9421875}, {"start": 539.41, "end": 539.59, "word": " في", "probability": 0.0743408203125}, {"start": 539.59, "end": 539.83, "word": " باية", "probability": 0.6429036458333334}, {"start": 539.83, "end": 539.97, "word": " على", "probability": 0.74658203125}, {"start": 539.97, "end": 540.25, "word": " ستة", "probability": 0.7972005208333334}, {"start": 540.25, "end": 540.33, "word": " و", "probability": 0.98583984375}, {"start": 540.33, "end": 540.61, "word": " خمسة", "probability": 0.77447509765625}, {"start": 540.61, "end": 540.73, "word": " باية", "probability": 0.9169921875}, {"start": 540.73, "end": 540.85, "word": " على", "probability": 0.7138671875}, {"start": 540.85, "end": 541.25, "word": " ستة", "probability": 0.9895833333333334}, {"start": 541.25, "end": 541.69, "word": " أي", "probability": 0.69580078125}, {"start": 541.69, "end": 542.01, "word": " زاوية", "probability": 0.9700927734375}, {"start": 542.01, "end": 542.79, "word": " مكملتها", "probability": 0.97431640625}, {"start": 542.79, "end": 543.53, "word": " بياخد", "probability": 0.9385986328125}, {"start": 543.53, "end": 543.83, "word": " نفس", "probability": 0.992431640625}, {"start": 543.83, "end": 544.83, "word": " القيمة", "probability": 0.7491048177083334}], "temperature": 1.0}, {"id": 22, "seek": 55984, "start": 545.16, "end": 559.84, "text": "لو بدون الـ πايع 6 والخمسة بايع 6 يكفي أني أرسم الـ sine و أجيب خط أفقي بنلاقي الخط الأفقي يقطع الـ function بنقطتين يبقى ب��قول الـ sine is not one to one طبعا من 0 إلى πايع", "tokens": [1211, 2407, 47525, 11536, 2423, 39184, 4654, 995, 40228, 1386, 16070, 9778, 2304, 3794, 3660, 4724, 995, 40228, 1386, 7251, 4117, 41185, 14739, 1829, 5551, 2288, 38251, 2423, 39184, 18609, 4032, 5551, 7435, 1829, 3555, 16490, 9566, 5551, 5172, 38436, 44945, 15040, 38436, 33962, 9566, 16247, 5172, 38436, 7251, 47432, 3615, 2423, 39184, 2445, 4724, 1863, 47432, 2655, 9957, 7251, 3555, 4587, 7578, 44945, 39648, 2423, 39184, 18609, 307, 406, 472, 281, 472, 23032, 3555, 3615, 995, 9154, 1958, 30731, 4654, 995, 40228], "avg_logprob": -0.29520088611614137, "compression_ratio": 1.5738636363636365, "no_speech_prob": 1.2755393981933594e-05, "words": [{"start": 545.16, "end": 545.62, "word": "لو", "probability": 0.55694580078125}, {"start": 545.62, "end": 547.62, "word": " بدون", "probability": 0.8310546875}, {"start": 547.62, "end": 547.82, "word": " الـ", "probability": 0.523681640625}, {"start": 547.82, "end": 548.0, "word": " πايع", "probability": 0.4542032877604167}, {"start": 548.0, "end": 548.24, "word": " 6", "probability": 0.6435546875}, {"start": 548.24, "end": 548.68, "word": " والخمسة", "probability": 0.729638671875}, {"start": 548.68, "end": 548.82, "word": " بايع", "probability": 0.8650716145833334}, {"start": 548.82, "end": 549.1, "word": " 6", "probability": 0.84912109375}, {"start": 549.1, "end": 549.42, "word": " يكفي", "probability": 0.8424479166666666}, {"start": 549.42, "end": 549.62, "word": " أني", "probability": 0.4332275390625}, {"start": 549.62, "end": 549.94, "word": " أرسم", "probability": 0.89453125}, {"start": 549.94, "end": 550.08, "word": " الـ", "probability": 0.6890869140625}, {"start": 550.08, "end": 550.38, "word": " sine", "probability": 0.400390625}, {"start": 550.38, "end": 550.8, "word": " و", "probability": 0.7431640625}, {"start": 550.8, "end": 551.2, "word": " أجيب", "probability": 0.9127197265625}, {"start": 551.2, "end": 551.54, "word": " خط", "probability": 0.982421875}, {"start": 551.54, "end": 552.0, "word": " أفقي", "probability": 0.9225260416666666}, {"start": 552.0, "end": 552.72, "word": " بنلاقي", "probability": 0.7699381510416666}, {"start": 552.72, "end": 553.04, "word": " الخط", "probability": 0.950439453125}, {"start": 553.04, "end": 553.44, "word": " الأفقي", "probability": 0.8873697916666666}, {"start": 553.44, "end": 553.88, "word": " يقطع", "probability": 0.96240234375}, {"start": 553.88, "end": 554.14, "word": " الـ", "probability": 0.753173828125}, {"start": 554.14, "end": 554.44, "word": " function", "probability": 0.88671875}, {"start": 554.44, "end": 555.64, "word": " بنقطتين", "probability": 0.69853515625}, {"start": 555.64, "end": 555.82, "word": " يبقى", "probability": 0.88623046875}, {"start": 555.82, "end": 556.14, "word": " بنقول", "probability": 0.74853515625}, {"start": 556.14, "end": 556.36, "word": " الـ", "probability": 0.90576171875}, {"start": 556.36, "end": 556.62, "word": " sine", "probability": 0.8525390625}, {"start": 556.62, "end": 556.88, "word": " is", "probability": 0.74609375}, {"start": 556.88, "end": 557.14, "word": " not", "probability": 0.9560546875}, {"start": 557.14, "end": 557.4, "word": " one", "probability": 0.8525390625}, {"start": 557.4, "end": 557.54, "word": " to", "probability": 0.8447265625}, {"start": 557.54, "end": 557.86, "word": " one", "probability": 0.96044921875}, {"start": 557.86, "end": 558.74, "word": " طبعا", "probability": 0.9205322265625}, {"start": 558.74, "end": 558.98, "word": " من", "probability": 0.91650390625}, {"start": 558.98, "end": 559.24, "word": " 0", "probability": 0.387451171875}, {"start": 559.24, "end": 559.48, "word": " إلى", "probability": 0.927734375}, {"start": 559.48, "end": 559.84, "word": " πايع", "probability": 0.7744140625}], "temperature": 1.0}, {"id": 23, "seek": 58661, "start": 562.93, "end": 586.61, "text": "مثال بقول use the graph of f to show that f is one to one or not الـ function تبعتي piecewise function معرفة على فترتين اتنين ناقص x تربيع و x أقل وسوء واحد و x تربيع x أكبر من واحد يعني بنرسم هذه الـ function x تربيع و بعدين نعكسها و بعدين نعملها shift up اتنين ناقص x تربيع اللي هي لتحتها", "tokens": [2304, 12984, 6027, 4724, 39648, 764, 264, 4295, 295, 283, 281, 855, 300, 283, 307, 472, 281, 472, 420, 406, 2423, 39184, 2445, 6055, 3555, 3615, 31371, 2522, 3711, 2445, 20449, 28480, 3660, 15844, 6156, 2655, 43500, 9957, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 2031, 6055, 2288, 21292, 3615, 4032, 2031, 5551, 4587, 1211, 46952, 2407, 38207, 36764, 24401, 4032, 2031, 6055, 2288, 21292, 3615, 2031, 5551, 4117, 26890, 9154, 36764, 24401, 37495, 22653, 44945, 2288, 38251, 29538, 2423, 39184, 2445, 2031, 6055, 2288, 21292, 3615, 4032, 39182, 9957, 8717, 3615, 4117, 3794, 11296, 4032, 39182, 9957, 8717, 25957, 1211, 11296, 5513, 493, 1975, 2655, 1863, 9957, 8717, 995, 4587, 9381, 2031, 6055, 2288, 21292, 3615, 13672, 1829, 39896, 5296, 2655, 33753, 11296], "avg_logprob": -0.21688987515748492, "compression_ratio": 1.8305084745762712, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 562.9300000000001, "end": 563.57, "word": "مثال", "probability": 0.703125}, {"start": 563.57, "end": 563.95, "word": " بقول", "probability": 0.667724609375}, {"start": 563.95, "end": 564.33, "word": " use", "probability": 0.53271484375}, {"start": 564.33, "end": 564.61, "word": " the", "probability": 0.74365234375}, {"start": 564.61, "end": 564.95, "word": " graph", "probability": 0.953125}, {"start": 564.95, "end": 565.19, "word": " of", "probability": 0.96435546875}, {"start": 565.19, "end": 565.41, "word": " f", "probability": 0.498046875}, {"start": 565.41, "end": 565.61, "word": " to", "probability": 0.88623046875}, {"start": 565.61, "end": 565.89, "word": " show", "probability": 0.94921875}, {"start": 565.89, "end": 566.19, "word": " that", "probability": 0.75146484375}, {"start": 566.19, "end": 566.41, "word": " f", "probability": 0.67578125}, {"start": 566.41, "end": 566.65, "word": " is", "probability": 0.9423828125}, {"start": 566.65, "end": 566.89, "word": " one", "probability": 0.625}, {"start": 566.89, "end": 566.99, "word": " to", "probability": 0.8212890625}, {"start": 566.99, "end": 567.17, "word": " one", "probability": 0.953125}, {"start": 567.17, "end": 567.43, "word": " or", "probability": 0.8896484375}, {"start": 567.43, "end": 567.83, "word": " not", "probability": 0.93212890625}, {"start": 567.83, "end": 568.41, "word": " الـ", "probability": 0.5274658203125}, {"start": 568.41, "end": 568.63, "word": " function", "probability": 0.65625}, {"start": 568.63, "end": 569.07, "word": " تبعتي", "probability": 0.7711181640625}, {"start": 569.07, "end": 569.61, "word": " piecewise", "probability": 0.868896484375}, {"start": 569.61, "end": 570.03, "word": " function", "probability": 0.8671875}, {"start": 570.03, "end": 570.49, "word": " معرفة", "probability": 0.9176432291666666}, {"start": 570.49, "end": 570.65, "word": " على", "probability": 0.9072265625}, {"start": 570.65, "end": 571.23, "word": " فترتين", "probability": 0.991943359375}, {"start": 571.23, "end": 571.91, "word": " اتنين", "probability": 0.82244873046875}, {"start": 571.91, "end": 572.25, "word": " ناقص", "probability": 0.9012451171875}, {"start": 572.25, "end": 572.45, "word": " x", "probability": 0.68212890625}, {"start": 572.45, "end": 572.75, "word": " تربيع", "probability": 0.76458740234375}, {"start": 572.75, "end": 572.83, "word": " و", "probability": 0.68115234375}, {"start": 572.83, "end": 572.99, "word": " x", "probability": 0.369873046875}, {"start": 572.99, "end": 573.25, "word": " أقل", "probability": 0.8714192708333334}, {"start": 573.25, "end": 573.57, "word": " وسوء", "probability": 0.6258138020833334}, {"start": 573.57, "end": 573.97, "word": " واحد", "probability": 0.984375}, {"start": 573.97, "end": 574.31, "word": " و", "probability": 0.44189453125}, {"start": 574.31, "end": 574.45, "word": " x", "probability": 0.50830078125}, {"start": 574.45, "end": 574.71, "word": " تربيع", "probability": 0.8822021484375}, {"start": 574.71, "end": 574.89, "word": " x", "probability": 0.6015625}, {"start": 574.89, "end": 575.21, "word": " أكبر", "probability": 0.9169921875}, {"start": 575.21, "end": 575.37, "word": " من", "probability": 0.93505859375}, {"start": 575.37, "end": 575.69, "word": " واحد", "probability": 0.982177734375}, {"start": 575.69, "end": 576.23, "word": " يعني", "probability": 0.775146484375}, {"start": 576.23, "end": 576.79, "word": " بنرسم", "probability": 0.7417805989583334}, {"start": 576.79, "end": 577.03, "word": " هذه", "probability": 0.78515625}, {"start": 577.03, "end": 577.19, "word": " الـ", "probability": 0.7237548828125}, {"start": 577.19, "end": 577.57, "word": " function", "probability": 0.91015625}, {"start": 577.57, "end": 578.71, "word": " x", "probability": 0.7607421875}, {"start": 578.71, "end": 579.25, "word": " تربيع", "probability": 0.9559326171875}, {"start": 579.25, "end": 579.33, "word": " و", "probability": 0.67041015625}, {"start": 579.33, "end": 579.87, "word": " بعدين", "probability": 0.8330078125}, {"start": 579.87, "end": 580.67, "word": " نعكسها", "probability": 0.98515625}, {"start": 580.67, "end": 580.77, "word": " و", "probability": 0.80078125}, {"start": 580.77, "end": 581.09, "word": " بعدين", "probability": 0.9501953125}, {"start": 581.09, "end": 581.43, "word": " نعملها", "probability": 0.9527587890625}, {"start": 581.43, "end": 581.65, "word": " shift", "probability": 0.9599609375}, {"start": 581.65, "end": 581.91, "word": " up", "probability": 0.7822265625}, {"start": 581.91, "end": 582.87, "word": " اتنين", "probability": 0.82000732421875}, {"start": 582.87, "end": 583.85, "word": " ناقص", "probability": 0.970703125}, {"start": 583.85, "end": 584.05, "word": " x", "probability": 0.97412109375}, {"start": 584.05, "end": 584.41, "word": " تربيع", "probability": 0.94677734375}, {"start": 584.41, "end": 585.19, "word": " اللي", "probability": 0.7685546875}, {"start": 585.19, "end": 585.85, "word": " هي", "probability": 0.6484375}, {"start": 585.85, "end": 586.61, "word": " لتحتها", "probability": 0.76263427734375}], "temperature": 1.0}, {"id": 24, "seek": 61577, "start": 587.01, "end": 615.77, "text": "الان لتحت و بعدين هادى بنعملها shift up اتنين يبقى بتيجي اياش بالشكل هذا و بس لعند الواحد بدناش نكمله لعند الواحد و بنوقف الان الأكبر من واحد X تربيع طبعا ال X تربيع من هنا بتيجي X تربيع و بتطلع لفوق طبعا هذا الجزء بدناش ياه فقط بدنا الجزء الأكبر من واحد راح يكون بهذا الشكل الان بدناشوف هل هاد ال function one to one ولا لا إذا كان وجدت خط واحد فقط يقطع ال function بأكثر من نقطة بتكون not one to one", "tokens": [6027, 7649, 5296, 2655, 33753, 4032, 39182, 9957, 8032, 18513, 7578, 44945, 25957, 1211, 11296, 5513, 493, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 39894, 1829, 7435, 1829, 1975, 1829, 33599, 20666, 8592, 28820, 23758, 4032, 4724, 3794, 5296, 3615, 41260, 2423, 14407, 24401, 47525, 8315, 8592, 8717, 24793, 1211, 3224, 5296, 3615, 41260, 2423, 14407, 24401, 4032, 44945, 30543, 5172, 2423, 7649, 16247, 4117, 26890, 9154, 36764, 24401, 1783, 6055, 2288, 21292, 3615, 23032, 3555, 3615, 995, 2423, 1783, 6055, 2288, 21292, 3615, 9154, 34105, 39894, 1829, 7435, 1829, 1783, 6055, 2288, 21292, 3615, 4032, 39894, 9566, 1211, 3615, 5296, 5172, 30543, 23032, 3555, 3615, 995, 23758, 25724, 11622, 38207, 47525, 8315, 8592, 35186, 3224, 6156, 47432, 47525, 8315, 25724, 11622, 38207, 16247, 4117, 26890, 9154, 36764, 24401, 12602, 39319, 7251, 30544, 39627, 15730, 25124, 28820, 2423, 7649, 47525, 8315, 8592, 38688, 8032, 1211, 8032, 18513, 2423, 2445, 472, 281, 472, 49429, 20193, 11933, 15730, 25961, 49610, 3215, 2655, 16490, 9566, 36764, 24401, 6156, 47432, 7251, 47432, 3615, 2423, 2445, 4724, 10721, 4117, 49115, 9154, 8717, 47432, 3660, 39894, 30544, 406, 472, 281, 472], "avg_logprob": -0.1923462511065172, "compression_ratio": 2.2065573770491804, "no_speech_prob": 4.0590763092041016e-05, "words": [{"start": 587.01, "end": 587.47, "word": "الان", "probability": 0.615478515625}, {"start": 587.47, "end": 588.03, "word": " لتحت", "probability": 0.677978515625}, {"start": 588.03, "end": 588.35, "word": " و", "probability": 0.392822265625}, {"start": 588.35, "end": 588.67, "word": " بعدين", "probability": 0.818359375}, {"start": 588.67, "end": 588.85, "word": " هادى", "probability": 0.3187662760416667}, {"start": 588.85, "end": 589.35, "word": " بنعملها", "probability": 0.832275390625}, {"start": 589.35, "end": 589.57, "word": " shift", "probability": 0.91943359375}, {"start": 589.57, "end": 589.89, "word": " up", "probability": 0.78076171875}, {"start": 589.89, "end": 590.33, "word": " اتنين", "probability": 0.7716064453125}, {"start": 590.33, "end": 590.61, "word": " يبقى", "probability": 0.83441162109375}, {"start": 590.61, "end": 590.95, "word": " بتيجي", "probability": 0.8756103515625}, {"start": 590.95, "end": 591.19, "word": " اياش", "probability": 0.591552734375}, {"start": 591.19, "end": 591.63, "word": " بالشكل", "probability": 0.9153645833333334}, {"start": 591.63, "end": 592.07, "word": " هذا", "probability": 0.505859375}, {"start": 592.07, "end": 592.51, "word": " و", "probability": 0.7314453125}, {"start": 592.51, "end": 592.71, "word": " بس", "probability": 0.972900390625}, {"start": 592.71, "end": 592.99, "word": " لعند", "probability": 0.8445638020833334}, {"start": 592.99, "end": 593.31, "word": " الواحد", "probability": 0.97216796875}, {"start": 593.31, "end": 593.71, "word": " بدناش", "probability": 0.6883951822916666}, {"start": 593.71, "end": 594.27, "word": " نكمله", "probability": 0.777587890625}, {"start": 594.27, "end": 594.55, "word": " لعند", "probability": 0.9640299479166666}, {"start": 594.55, "end": 594.87, "word": " الواحد", "probability": 0.99365234375}, {"start": 594.87, "end": 594.99, "word": " و", "probability": 0.98486328125}, {"start": 594.99, "end": 595.43, "word": " بنوقف", "probability": 0.9093424479166666}, {"start": 595.43, "end": 596.19, "word": " الان", "probability": 0.5916748046875}, {"start": 596.19, "end": 596.67, "word": " الأكبر", "probability": 0.8689778645833334}, {"start": 596.67, "end": 596.87, "word": " من", "probability": 0.99365234375}, {"start": 596.87, "end": 597.21, "word": " واحد", "probability": 0.989990234375}, {"start": 597.21, "end": 597.49, "word": " X", "probability": 0.43603515625}, {"start": 597.49, "end": 597.87, "word": " تربيع", "probability": 0.840576171875}, {"start": 597.87, "end": 598.15, "word": " طبعا", "probability": 0.914794921875}, {"start": 598.15, "end": 598.27, "word": " ال", "probability": 0.884765625}, {"start": 598.27, "end": 598.47, "word": " X", "probability": 0.9638671875}, {"start": 598.47, "end": 598.81, "word": " تربيع", "probability": 0.960693359375}, {"start": 598.81, "end": 598.95, "word": " من", "probability": 0.9814453125}, {"start": 598.95, "end": 599.17, "word": " هنا", "probability": 0.9453125}, {"start": 599.17, "end": 599.57, "word": " بتيجي", "probability": 0.8768310546875}, {"start": 599.57, "end": 599.83, "word": " X", "probability": 0.93896484375}, {"start": 599.83, "end": 600.35, "word": " تربيع", "probability": 0.966796875}, {"start": 600.35, "end": 600.43, "word": " و", "probability": 0.84033203125}, {"start": 600.43, "end": 600.75, "word": " بتطلع", "probability": 0.9373779296875}, {"start": 600.75, "end": 601.15, "word": " لفوق", "probability": 0.7657877604166666}, {"start": 601.15, "end": 601.65, "word": " طبعا", "probability": 0.9647216796875}, {"start": 601.65, "end": 601.89, "word": " هذا", "probability": 0.78173828125}, {"start": 601.89, "end": 602.21, "word": " الجزء", "probability": 0.9889322916666666}, {"start": 602.21, "end": 602.63, "word": " بدناش", "probability": 0.8053385416666666}, {"start": 602.63, "end": 602.87, "word": " ياه", "probability": 0.56768798828125}, {"start": 602.87, "end": 603.13, "word": " فقط", "probability": 0.965576171875}, {"start": 603.13, "end": 603.43, "word": " بدنا", "probability": 0.957275390625}, {"start": 603.43, "end": 604.83, "word": " الجزء", "probability": 0.8704427083333334}, {"start": 604.83, "end": 605.23, "word": " الأكبر", "probability": 0.935546875}, {"start": 605.23, "end": 605.39, "word": " من", "probability": 0.98974609375}, {"start": 605.39, "end": 605.71, "word": " واحد", "probability": 0.98388671875}, {"start": 605.71, "end": 605.91, "word": " راح", "probability": 0.62646484375}, {"start": 605.91, "end": 606.15, "word": " يكون", "probability": 0.9833984375}, {"start": 606.15, "end": 606.47, "word": " بهذا", "probability": 0.953125}, {"start": 606.47, "end": 606.83, "word": " الشكل", "probability": 0.99072265625}, {"start": 606.83, "end": 607.95, "word": " الان", "probability": 0.7890625}, {"start": 607.95, "end": 608.65, "word": " بدناشوف", "probability": 0.787841796875}, {"start": 608.65, "end": 608.89, "word": " هل", "probability": 0.97607421875}, {"start": 608.89, "end": 609.13, "word": " هاد", "probability": 0.62060546875}, {"start": 609.13, "end": 609.21, "word": " ال", "probability": 0.86181640625}, {"start": 609.21, "end": 609.51, "word": " function", "probability": 0.89892578125}, {"start": 609.51, "end": 609.73, "word": " one", "probability": 0.85302734375}, {"start": 609.73, "end": 609.89, "word": " to", "probability": 0.8271484375}, {"start": 609.89, "end": 610.01, "word": " one", "probability": 0.947265625}, {"start": 610.01, "end": 610.19, "word": " ولا", "probability": 0.73046875}, {"start": 610.19, "end": 610.37, "word": " لا", "probability": 0.58251953125}, {"start": 610.37, "end": 610.69, "word": " إذا", "probability": 0.737060546875}, {"start": 610.69, "end": 610.89, "word": " كان", "probability": 0.958984375}, {"start": 610.89, "end": 611.33, "word": " وجدت", "probability": 0.95361328125}, {"start": 611.33, "end": 611.63, "word": " خط", "probability": 0.984619140625}, {"start": 611.63, "end": 612.01, "word": " واحد", "probability": 0.995849609375}, {"start": 612.01, "end": 612.41, "word": " فقط", "probability": 0.98974609375}, {"start": 612.41, "end": 613.11, "word": " يقطع", "probability": 0.98193359375}, {"start": 613.11, "end": 613.21, "word": " ال", "probability": 0.95458984375}, {"start": 613.21, "end": 613.47, "word": " function", "probability": 0.947265625}, {"start": 613.47, "end": 613.89, "word": " بأكثر", "probability": 0.9371337890625}, {"start": 613.89, "end": 613.99, "word": " من", "probability": 0.990234375}, {"start": 613.99, "end": 614.31, "word": " نقطة", "probability": 0.9773763020833334}, {"start": 614.31, "end": 614.63, "word": " بتكون", "probability": 0.762939453125}, {"start": 614.63, "end": 614.83, "word": " not", "probability": 0.88720703125}, {"start": 614.83, "end": 615.13, "word": " one", "probability": 0.94873046875}, {"start": 615.13, "end": 615.57, "word": " to", "probability": 0.95947265625}, {"start": 615.57, "end": 615.77, "word": " one", "probability": 0.94921875}], "temperature": 1.0}, {"id": 25, "seek": 63737, "start": 616.19, "end": 637.37, "text": "الأن لو أتيت تعملت خط هنا، بنلاقي أنه يقطع ال function بتلت نقاط، وبالتالي في هذه الحالة بنقول not one to one طب ها، في عندنا خط هنا يقطعه بنقطة واحدة، إيش معناه؟ لأ، مانفعش، لازم إذا كانت one to one، لازم كل الخطوات تقطع بنقطة واحدة فقط، لو لاقيت خط واحد يقطعه بأكثر من نقطة، بنقول أن ال function is not one to one", "tokens": [6027, 33456, 45164, 5551, 31371, 2655, 6055, 25957, 1211, 2655, 16490, 9566, 34105, 12399, 44945, 15040, 38436, 14739, 3224, 7251, 47432, 3615, 2423, 2445, 39894, 1211, 2655, 8717, 4587, 41193, 12399, 46599, 6027, 2655, 6027, 1829, 8978, 29538, 21542, 6027, 3660, 44945, 39648, 406, 472, 281, 472, 23032, 3555, 8032, 995, 12399, 8978, 43242, 8315, 16490, 9566, 34105, 7251, 47432, 3615, 3224, 44945, 47432, 3660, 36764, 24401, 3660, 12399, 11933, 1829, 8592, 20449, 8315, 3224, 22807, 5296, 10721, 12399, 3714, 7649, 5172, 3615, 8592, 12399, 5296, 31377, 2304, 11933, 15730, 25961, 2655, 472, 281, 472, 12399, 5296, 31377, 2304, 28242, 33962, 9566, 2407, 9307, 6055, 47432, 3615, 44945, 47432, 3660, 36764, 24401, 3660, 6156, 47432, 12399, 45164, 20193, 4587, 36081, 16490, 9566, 36764, 24401, 7251, 47432, 3615, 3224, 4724, 10721, 4117, 49115, 9154, 8717, 47432, 3660, 12399, 44945, 39648, 14739, 2423, 2445, 307, 406, 472, 281, 472], "avg_logprob": -0.19826857534212036, "compression_ratio": 1.9621212121212122, "no_speech_prob": 5.370378494262695e-05, "words": [{"start": 616.19, "end": 616.55, "word": "الأن", "probability": 0.3814697265625}, {"start": 616.55, "end": 616.69, "word": " لو", "probability": 0.83740234375}, {"start": 616.69, "end": 616.99, "word": " أتيت", "probability": 0.7557779947916666}, {"start": 616.99, "end": 617.35, "word": " تعملت", "probability": 0.6375732421875}, {"start": 617.35, "end": 617.57, "word": " خط", "probability": 0.97412109375}, {"start": 617.57, "end": 618.17, "word": " هنا،", "probability": 0.5870361328125}, {"start": 618.17, "end": 618.51, "word": " بنلاقي", "probability": 0.6985677083333334}, {"start": 618.51, "end": 618.77, "word": " أنه", "probability": 0.77783203125}, {"start": 618.77, "end": 619.09, "word": " يقطع", "probability": 0.9894205729166666}, {"start": 619.09, "end": 619.21, "word": " ال", "probability": 0.91650390625}, {"start": 619.21, "end": 619.43, "word": " function", "probability": 0.4453125}, {"start": 619.43, "end": 620.05, "word": " بتلت", "probability": 0.7093098958333334}, {"start": 620.05, "end": 620.95, "word": " نقاط،", "probability": 0.7542724609375}, {"start": 620.95, "end": 621.45, "word": " وبالتالي", "probability": 0.92421875}, {"start": 621.45, "end": 621.59, "word": " في", "probability": 0.8818359375}, {"start": 621.59, "end": 621.73, "word": " هذه", "probability": 0.94287109375}, {"start": 621.73, "end": 621.97, "word": " الحالة", "probability": 0.9798177083333334}, {"start": 621.97, "end": 622.31, "word": " بنقول", "probability": 0.79931640625}, {"start": 622.31, "end": 622.63, "word": " not", "probability": 0.53271484375}, {"start": 622.63, "end": 622.95, "word": " one", "probability": 0.86962890625}, {"start": 622.95, "end": 623.11, "word": " to", "probability": 0.80615234375}, {"start": 623.11, "end": 623.29, "word": " one", "probability": 0.9560546875}, {"start": 623.29, "end": 623.77, "word": " طب", "probability": 0.751953125}, {"start": 623.77, "end": 624.01, "word": " ها،", "probability": 0.5060221354166666}, {"start": 624.01, "end": 624.11, "word": " في", "probability": 0.57666015625}, {"start": 624.11, "end": 624.41, "word": " عندنا", "probability": 0.978515625}, {"start": 624.41, "end": 624.61, "word": " خط", "probability": 0.994873046875}, {"start": 624.61, "end": 624.81, "word": " هنا", "probability": 0.91943359375}, {"start": 624.81, "end": 625.19, "word": " يقطعه", "probability": 0.8466796875}, {"start": 625.19, "end": 625.49, "word": " بنقطة", "probability": 0.9345703125}, {"start": 625.49, "end": 625.87, "word": " واحدة،", "probability": 0.9754638671875}, {"start": 625.87, "end": 625.97, "word": " إيش", "probability": 0.8196614583333334}, {"start": 625.97, "end": 626.65, "word": " معناه؟", "probability": 0.898193359375}, {"start": 626.65, "end": 626.83, "word": " لأ،", "probability": 0.8351236979166666}, {"start": 626.83, "end": 627.31, "word": " مانفعش،", "probability": 0.7542724609375}, {"start": 627.31, "end": 627.53, "word": " لازم", "probability": 0.8977864583333334}, {"start": 627.53, "end": 628.01, "word": " إذا", "probability": 0.6680908203125}, {"start": 628.01, "end": 628.37, "word": " كانت", "probability": 0.984130859375}, {"start": 628.37, "end": 628.51, "word": " one", "probability": 0.9560546875}, {"start": 628.51, "end": 628.65, "word": " to", "probability": 0.9775390625}, {"start": 628.65, "end": 628.83, "word": " one،", "probability": 0.880615234375}, {"start": 628.83, "end": 629.03, "word": " لازم", "probability": 0.9900716145833334}, {"start": 629.03, "end": 629.37, "word": " كل", "probability": 0.99267578125}, {"start": 629.37, "end": 630.03, "word": " الخطوات", "probability": 0.92578125}, {"start": 630.03, "end": 630.65, "word": " تقطع", "probability": 0.9920247395833334}, {"start": 630.65, "end": 631.13, "word": " بنقطة", "probability": 0.91357421875}, {"start": 631.13, "end": 631.55, "word": " واحدة", "probability": 0.9947916666666666}, {"start": 631.55, "end": 632.13, "word": " فقط،", "probability": 0.8984375}, {"start": 632.13, "end": 632.29, "word": " لو", "probability": 0.9697265625}, {"start": 632.29, "end": 632.55, "word": " لاقيت", "probability": 0.87060546875}, {"start": 632.55, "end": 632.81, "word": " خط", "probability": 0.994140625}, {"start": 632.81, "end": 633.17, "word": " واحد", "probability": 0.990966796875}, {"start": 633.17, "end": 633.59, "word": " يقطعه", "probability": 0.935546875}, {"start": 633.59, "end": 633.89, "word": " بأكثر", "probability": 0.9490966796875}, {"start": 633.89, "end": 634.01, "word": " من", "probability": 0.984375}, {"start": 634.01, "end": 634.63, "word": " نقطة،", "probability": 0.977294921875}, {"start": 634.63, "end": 634.97, "word": " بنقول", "probability": 0.935302734375}, {"start": 634.97, "end": 635.13, "word": " أن", "probability": 0.66162109375}, {"start": 635.13, "end": 635.25, "word": " ال", "probability": 0.93701171875}, {"start": 635.25, "end": 635.55, "word": " function", "probability": 0.92138671875}, {"start": 635.55, "end": 635.85, "word": " is", "probability": 0.9296875}, {"start": 635.85, "end": 636.13, "word": " not", "probability": 0.96728515625}, {"start": 636.13, "end": 636.55, "word": " one", "probability": 0.9501953125}, {"start": 636.55, "end": 636.85, "word": " to", "probability": 0.9716796875}, {"start": 636.85, "end": 637.37, "word": " one", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 26, "seek": 66209, "start": 643.59, "end": 662.09, "text": "هنا بقيت ال .. نجي هنا بقيت ال .. احنا حكينا كيف نفلت one to one او لأ عن طريق التعريف عن طريق الرسم نمر تلاتة عن طريق ان ال function increasing او decreasing يعني لو كانت ال function increasing فقط فقط تزيد بيها", "tokens": [3224, 8315, 4724, 4587, 36081, 2423, 4386, 8717, 7435, 1829, 34105, 4724, 4587, 36081, 2423, 4386, 1975, 5016, 8315, 11331, 4117, 1829, 8315, 9122, 33911, 8717, 5172, 1211, 2655, 472, 281, 472, 1975, 2407, 5296, 10721, 18871, 23032, 16572, 4587, 16712, 3615, 16572, 5172, 18871, 23032, 16572, 4587, 34892, 38251, 8717, 29973, 6055, 1211, 9307, 3660, 18871, 23032, 16572, 4587, 16472, 2423, 2445, 5662, 1975, 2407, 23223, 37495, 22653, 45164, 25961, 2655, 2423, 2445, 5662, 6156, 47432, 6156, 47432, 6055, 11622, 25708, 4724, 1829, 11296], "avg_logprob": -0.279433146812195, "compression_ratio": 1.8248587570621468, "no_speech_prob": 2.86102294921875e-06, "words": [{"start": 643.59, "end": 644.35, "word": "هنا", "probability": 0.25592041015625}, {"start": 644.35, "end": 645.11, "word": " بقيت", "probability": 0.5210367838541666}, {"start": 645.11, "end": 645.45, "word": " ال", "probability": 0.423095703125}, {"start": 645.45, "end": 645.87, "word": " ..", "probability": 0.09442138671875}, {"start": 645.87, "end": 646.29, "word": " نجي", "probability": 0.560546875}, {"start": 646.29, "end": 646.83, "word": " هنا", "probability": 0.96435546875}, {"start": 646.83, "end": 647.51, "word": " بقيت", "probability": 0.7521158854166666}, {"start": 647.51, "end": 647.99, "word": " ال", "probability": 0.90185546875}, {"start": 647.99, "end": 648.67, "word": " ..", "probability": 0.78125}, {"start": 648.67, "end": 649.29, "word": " احنا", "probability": 0.7365315755208334}, {"start": 649.29, "end": 649.89, "word": " حكينا", "probability": 0.9759521484375}, {"start": 649.89, "end": 650.19, "word": " كيف", "probability": 0.960693359375}, {"start": 650.19, "end": 650.57, "word": " نفلت", "probability": 0.8140869140625}, {"start": 650.57, "end": 650.75, "word": " one", "probability": 0.82373046875}, {"start": 650.75, "end": 650.89, "word": " to", "probability": 0.853515625}, {"start": 650.89, "end": 651.11, "word": " one", "probability": 0.9599609375}, {"start": 651.11, "end": 651.43, "word": " او", "probability": 0.827392578125}, {"start": 651.43, "end": 651.81, "word": " لأ", "probability": 0.7427978515625}, {"start": 651.81, "end": 652.05, "word": " عن", "probability": 0.8701171875}, {"start": 652.05, "end": 652.33, "word": " طريق", "probability": 0.9921875}, {"start": 652.33, "end": 652.91, "word": " التعريف", "probability": 0.9893798828125}, {"start": 652.91, "end": 653.07, "word": " عن", "probability": 0.6171875}, {"start": 653.07, "end": 653.43, "word": " طريق", "probability": 0.9962565104166666}, {"start": 653.43, "end": 653.91, "word": " الرسم", "probability": 0.957763671875}, {"start": 653.91, "end": 654.51, "word": " نمر", "probability": 0.701171875}, {"start": 654.51, "end": 655.17, "word": " تلاتة", "probability": 0.7520751953125}, {"start": 655.17, "end": 655.57, "word": " عن", "probability": 0.8330078125}, {"start": 655.57, "end": 655.87, "word": " طريق", "probability": 0.9954427083333334}, {"start": 655.87, "end": 656.03, "word": " ان", "probability": 0.8017578125}, {"start": 656.03, "end": 656.15, "word": " ال", "probability": 0.57666015625}, {"start": 656.15, "end": 656.45, "word": " function", "probability": 0.7998046875}, {"start": 656.45, "end": 657.03, "word": " increasing", "probability": 0.94921875}, {"start": 657.03, "end": 657.33, "word": " او", "probability": 0.882568359375}, {"start": 657.33, "end": 657.71, "word": " decreasing", "probability": 0.9833984375}, {"start": 657.71, "end": 658.69, "word": " يعني", "probability": 0.83056640625}, {"start": 658.69, "end": 658.95, "word": " لو", "probability": 0.953125}, {"start": 658.95, "end": 659.25, "word": " كانت", "probability": 0.97265625}, {"start": 659.25, "end": 659.37, "word": " ال", "probability": 0.94775390625}, {"start": 659.37, "end": 659.65, "word": " function", "probability": 0.94873046875}, {"start": 659.65, "end": 660.31, "word": " increasing", "probability": 0.97265625}, {"start": 660.31, "end": 660.83, "word": " فقط", "probability": 0.994140625}, {"start": 660.83, "end": 661.31, "word": " فقط", "probability": 0.92041015625}, {"start": 661.31, "end": 661.69, "word": " تزيد", "probability": 0.8212076822916666}, {"start": 661.69, "end": 662.09, "word": " بيها", "probability": 0.646728515625}], "temperature": 1.0}, {"id": 27, "seek": 69109, "start": 662.21, "end": 691.09, "text": "يعني الـ function هيش بس تزايدية بتمشي هيك و بتضلها ماشية تزايدية الانها دي التزايدية لو جيت أي خط أفقي يقطع بنقطة واحدة فقط وبالتالي بتكون الـ function one to one طب لو كانت تناقصية يعني تنقصية يعني بتمشي و بتضلها ماشية تناقصية بتنقص بتنقص بتعودش تزيد مدام هي بس تناقصية يبقى أي خط أفقي يقطع بنقطة واحدة فقط لكن لو كانت تناقصية و بعدين تزايدية زي ال X تربيع ممكن تقطع بأكتر من نقطة وبالتالي", "tokens": [40228, 22653, 2423, 39184, 2445, 39896, 8592, 4724, 3794, 6055, 11622, 995, 25708, 10632, 39894, 2304, 8592, 1829, 39896, 4117, 4032, 39894, 11242, 1211, 11296, 3714, 33599, 10632, 6055, 11622, 995, 25708, 10632, 2423, 7649, 11296, 11778, 1829, 16712, 11622, 995, 25708, 10632, 45164, 10874, 36081, 36632, 16490, 9566, 5551, 5172, 38436, 7251, 47432, 3615, 4724, 1863, 47432, 3660, 36764, 24401, 3660, 6156, 47432, 46599, 6027, 2655, 6027, 1829, 39894, 30544, 2423, 39184, 2445, 472, 281, 472, 23032, 3555, 45164, 25961, 2655, 6055, 8315, 4587, 9381, 10632, 37495, 22653, 6055, 1863, 4587, 9381, 10632, 37495, 22653, 39894, 2304, 8592, 1829, 4032, 39894, 11242, 1211, 11296, 3714, 33599, 10632, 6055, 8315, 4587, 9381, 10632, 39894, 1863, 4587, 9381, 39894, 1863, 4587, 9381, 39894, 3615, 23328, 8592, 6055, 11622, 25708, 3714, 3215, 10943, 39896, 4724, 3794, 6055, 8315, 4587, 9381, 10632, 7251, 3555, 4587, 7578, 36632, 16490, 9566, 5551, 5172, 38436, 7251, 47432, 3615, 4724, 1863, 47432, 3660, 36764, 24401, 3660, 6156, 47432, 44381, 45164, 25961, 2655, 6055, 8315, 4587, 9381, 10632, 4032, 39182, 9957, 6055, 11622, 995, 25708, 10632, 30767, 1829, 2423, 1783, 6055, 25513, 40228, 3714, 43020, 6055, 47432, 3615, 4724, 10721, 4117, 2655, 2288, 9154, 8717, 47432, 3660, 46599, 6027, 2655, 6027, 1829], "avg_logprob": -0.16158536178309743, "compression_ratio": 2.5073529411764706, "no_speech_prob": 2.092123031616211e-05, "words": [{"start": 662.21, "end": 662.61, "word": "يعني", "probability": 0.5743408203125}, {"start": 662.61, "end": 662.75, "word": " الـ", "probability": 0.655029296875}, {"start": 662.75, "end": 663.01, "word": " function", "probability": 0.66015625}, {"start": 663.01, "end": 663.25, "word": " هيش", "probability": 0.427490234375}, {"start": 663.25, "end": 663.45, "word": " بس", "probability": 0.7469482421875}, {"start": 663.45, "end": 663.95, "word": " تزايدية", "probability": 0.92353515625}, {"start": 663.95, "end": 664.33, "word": " بتمشي", "probability": 0.823974609375}, {"start": 664.33, "end": 664.87, "word": " هيك", "probability": 0.725830078125}, {"start": 664.87, "end": 664.95, "word": " و", "probability": 0.463623046875}, {"start": 664.95, "end": 665.21, "word": " بتضلها", "probability": 0.745361328125}, {"start": 665.21, "end": 665.63, "word": " ماشية", "probability": 0.953125}, {"start": 665.63, "end": 666.57, "word": " تزايدية", "probability": 0.919921875}, {"start": 666.57, "end": 667.25, "word": " الانها", "probability": 0.6827392578125}, {"start": 667.25, "end": 667.39, "word": " دي", "probability": 0.8203125}, {"start": 667.39, "end": 668.11, "word": " التزايدية", "probability": 0.96796875}, {"start": 668.11, "end": 668.31, "word": " لو", "probability": 0.884765625}, {"start": 668.31, "end": 668.55, "word": " جيت", "probability": 0.6572265625}, {"start": 668.55, "end": 668.73, "word": " أي", "probability": 0.66162109375}, {"start": 668.73, "end": 669.05, "word": " خط", "probability": 0.991455078125}, {"start": 669.05, "end": 669.69, "word": " أفقي", "probability": 0.8828125}, {"start": 669.69, "end": 670.37, "word": " يقطع", "probability": 0.9783528645833334}, {"start": 670.37, "end": 670.79, "word": " بنقطة", "probability": 0.8314208984375}, {"start": 670.79, "end": 671.19, "word": " واحدة", "probability": 0.9768880208333334}, {"start": 671.19, "end": 671.47, "word": " فقط", "probability": 0.9892578125}, {"start": 671.47, "end": 672.45, "word": " وبالتالي", "probability": 0.9208984375}, {"start": 672.45, "end": 673.03, "word": " بتكون", "probability": 0.7408447265625}, {"start": 673.03, "end": 673.23, "word": " الـ", "probability": 0.758544921875}, {"start": 673.23, "end": 673.41, "word": " function", "probability": 0.8984375}, {"start": 673.41, "end": 673.65, "word": " one", "probability": 0.7197265625}, {"start": 673.65, "end": 673.77, "word": " to", "probability": 0.75732421875}, {"start": 673.77, "end": 673.91, "word": " one", "probability": 0.951171875}, {"start": 673.91, "end": 674.07, "word": " طب", "probability": 0.7998046875}, {"start": 674.07, "end": 674.21, "word": " لو", "probability": 0.9814453125}, {"start": 674.21, "end": 674.49, "word": " كانت", "probability": 0.993408203125}, {"start": 674.49, "end": 675.21, "word": " تناقصية", "probability": 0.908203125}, {"start": 675.21, "end": 675.71, "word": " يعني", "probability": 0.84765625}, {"start": 675.71, "end": 676.29, "word": " تنقصية", "probability": 0.88681640625}, {"start": 676.29, "end": 676.45, "word": " يعني", "probability": 0.843505859375}, {"start": 676.45, "end": 676.79, "word": " بتمشي", "probability": 0.9295654296875}, {"start": 676.79, "end": 676.89, "word": " و", "probability": 0.58544921875}, {"start": 676.89, "end": 677.15, "word": " بتضلها", "probability": 0.7845458984375}, {"start": 677.15, "end": 677.55, "word": " ماشية", "probability": 0.7805989583333334}, {"start": 677.55, "end": 678.03, "word": " تناقصية", "probability": 0.8666015625}, {"start": 678.03, "end": 678.49, "word": " بتنقص", "probability": 0.889892578125}, {"start": 678.49, "end": 678.95, "word": " بتنقص", "probability": 0.8658447265625}, {"start": 678.95, "end": 679.83, "word": " بتعودش", "probability": 0.8348388671875}, {"start": 679.83, "end": 680.51, "word": " تزيد", "probability": 0.98486328125}, {"start": 680.51, "end": 680.85, "word": " مدام", "probability": 0.7431640625}, {"start": 680.85, "end": 680.97, "word": " هي", "probability": 0.85546875}, {"start": 680.97, "end": 681.19, "word": " بس", "probability": 0.943359375}, {"start": 681.19, "end": 681.87, "word": " تناقصية", "probability": 0.98642578125}, {"start": 681.87, "end": 682.13, "word": " يبقى", "probability": 0.9285888671875}, {"start": 682.13, "end": 682.29, "word": " أي", "probability": 0.7490234375}, {"start": 682.29, "end": 682.49, "word": " خط", "probability": 0.99609375}, {"start": 682.49, "end": 682.79, "word": " أفقي", "probability": 0.9586588541666666}, {"start": 682.79, "end": 683.11, "word": " يقطع", "probability": 0.99267578125}, {"start": 683.11, "end": 683.53, "word": " بنقطة", "probability": 0.8785400390625}, {"start": 683.53, "end": 683.89, "word": " واحدة", "probability": 0.98046875}, {"start": 683.89, "end": 684.13, "word": " فقط", "probability": 0.9892578125}, {"start": 684.13, "end": 684.65, "word": " لكن", "probability": 0.90673828125}, {"start": 684.65, "end": 684.87, "word": " لو", "probability": 0.986328125}, {"start": 684.87, "end": 685.17, "word": " كانت", "probability": 0.9970703125}, {"start": 685.17, "end": 685.73, "word": " تناقصية", "probability": 0.98466796875}, {"start": 685.73, "end": 685.83, "word": " و", "probability": 0.611328125}, {"start": 685.83, "end": 686.17, "word": " بعدين", "probability": 0.93310546875}, {"start": 686.17, "end": 686.85, "word": " تزايدية", "probability": 0.9857421875}, {"start": 686.85, "end": 687.05, "word": " زي", "probability": 0.95166015625}, {"start": 687.05, "end": 687.17, "word": " ال", "probability": 0.90966796875}, {"start": 687.17, "end": 687.33, "word": " X", "probability": 0.55419921875}, {"start": 687.33, "end": 687.77, "word": " تربيع", "probability": 0.7994791666666666}, {"start": 687.77, "end": 688.37, "word": " ممكن", "probability": 0.981201171875}, {"start": 688.37, "end": 688.77, "word": " تقطع", "probability": 0.9978841145833334}, {"start": 688.77, "end": 689.21, "word": " بأكتر", "probability": 0.93759765625}, {"start": 689.21, "end": 689.47, "word": " من", "probability": 0.98828125}, {"start": 689.47, "end": 690.25, "word": " نقطة", "probability": 0.9931640625}, {"start": 690.25, "end": 691.09, "word": " وبالتالي", "probability": 0.93271484375}], "temperature": 1.0}, {"id": 28, "seek": 71537, "start": 691.45, "end": 715.37, "text": "إذا كانت الـ function increasing كمان هد على الرسم، كمان على الـ definition برضه بتطلع نفس الشيء، إيش معنى increasing؟ يعني بالـ definition تبع الـ calculus F of X2 أكبر من X1 إذا كانت X2 أكبر من X1، يعني أكبر بتظل أكبر بتكون increasing، و أكبر بتصير إذا كانت هنا أكبر، أكبر، و هنا أقل، بتكون decreasing", "tokens": [28814, 15730, 25961, 2655, 2423, 39184, 2445, 5662, 9122, 2304, 7649, 8032, 3215, 15844, 34892, 38251, 12399, 9122, 2304, 7649, 15844, 2423, 39184, 7123, 4724, 43042, 3224, 39894, 9566, 1211, 3615, 8717, 36178, 25124, 1829, 38207, 12399, 11933, 1829, 8592, 20449, 1863, 7578, 5662, 22807, 37495, 22653, 20666, 39184, 7123, 6055, 3555, 3615, 2423, 39184, 33400, 479, 295, 1783, 17, 5551, 4117, 26890, 9154, 1783, 16, 11933, 15730, 25961, 2655, 1783, 17, 5551, 4117, 26890, 9154, 1783, 16, 12399, 37495, 22653, 5551, 4117, 26890, 39894, 19913, 1211, 5551, 4117, 26890, 39894, 30544, 5662, 12399, 4032, 5551, 4117, 26890, 39894, 9381, 13546, 11933, 15730, 25961, 2655, 34105, 5551, 4117, 26890, 12399, 5551, 4117, 26890, 12399, 4032, 34105, 5551, 4587, 1211, 12399, 39894, 30544, 23223], "avg_logprob": -0.27368952117619977, "compression_ratio": 2.021834061135371, "no_speech_prob": 6.496906280517578e-06, "words": [{"start": 691.45, "end": 692.53, "word": "إذا", "probability": 0.653564453125}, {"start": 692.53, "end": 693.13, "word": " كانت", "probability": 0.942138671875}, {"start": 693.13, "end": 693.19, "word": " الـ", "probability": 0.48095703125}, {"start": 693.19, "end": 693.41, "word": " function", "probability": 0.82861328125}, {"start": 693.41, "end": 693.97, "word": " increasing", "probability": 0.8056640625}, {"start": 693.97, "end": 694.47, "word": " كمان", "probability": 0.7373860677083334}, {"start": 694.47, "end": 694.83, "word": " هد", "probability": 0.4345703125}, {"start": 694.83, "end": 694.97, "word": " على", "probability": 0.63720703125}, {"start": 694.97, "end": 695.43, "word": " الرسم،", "probability": 0.7109375}, {"start": 695.43, "end": 695.67, "word": " كمان", "probability": 0.8408203125}, {"start": 695.67, "end": 695.79, "word": " على", "probability": 0.75390625}, {"start": 695.79, "end": 695.89, "word": " الـ", "probability": 0.753662109375}, {"start": 695.89, "end": 696.19, "word": " definition", "probability": 0.83056640625}, {"start": 696.19, "end": 696.53, "word": " برضه", "probability": 0.765625}, {"start": 696.53, "end": 696.81, "word": " بتطلع", "probability": 0.68487548828125}, {"start": 696.81, "end": 697.05, "word": " نفس", "probability": 0.9931640625}, {"start": 697.05, "end": 697.61, "word": " الشيء،", "probability": 0.72625732421875}, {"start": 697.61, "end": 697.81, "word": " إيش", "probability": 0.816650390625}, {"start": 697.81, "end": 698.09, "word": " معنى", "probability": 0.7291666666666666}, {"start": 698.09, "end": 699.15, "word": " increasing؟", "probability": 0.84912109375}, {"start": 699.15, "end": 699.43, "word": " يعني", "probability": 0.802001953125}, {"start": 699.43, "end": 700.25, "word": " بالـ", "probability": 0.8369140625}, {"start": 700.25, "end": 700.61, "word": " definition", "probability": 0.89892578125}, {"start": 700.61, "end": 700.97, "word": " تبع", "probability": 0.8723958333333334}, {"start": 700.97, "end": 701.27, "word": " الـ", "probability": 0.6407470703125}, {"start": 701.27, "end": 701.63, "word": " calculus", "probability": 0.93505859375}, {"start": 701.63, "end": 702.03, "word": " F", "probability": 0.2191162109375}, {"start": 702.03, "end": 702.23, "word": " of", "probability": 0.57666015625}, {"start": 702.23, "end": 702.73, "word": " X2", "probability": 0.876953125}, {"start": 702.73, "end": 703.11, "word": " أكبر", "probability": 0.94921875}, {"start": 703.11, "end": 703.27, "word": " من", "probability": 0.98095703125}, {"start": 703.27, "end": 704.89, "word": " X1", "probability": 0.889892578125}, {"start": 704.89, "end": 705.49, "word": " إذا", "probability": 0.835205078125}, {"start": 705.49, "end": 705.89, "word": " كانت", "probability": 0.95458984375}, {"start": 705.89, "end": 706.37, "word": " X2", "probability": 0.953857421875}, {"start": 706.37, "end": 706.75, "word": " أكبر", "probability": 0.9788411458333334}, {"start": 706.75, "end": 706.89, "word": " من", "probability": 0.9951171875}, {"start": 706.89, "end": 707.93, "word": " X1،", "probability": 0.8406575520833334}, {"start": 707.93, "end": 708.11, "word": " يعني", "probability": 0.91650390625}, {"start": 708.11, "end": 708.45, "word": " أكبر", "probability": 0.9832356770833334}, {"start": 708.45, "end": 708.77, "word": " بتظل", "probability": 0.7561848958333334}, {"start": 708.77, "end": 709.17, "word": " أكبر", "probability": 0.84521484375}, {"start": 709.17, "end": 709.49, "word": " بتكون", "probability": 0.6312255859375}, {"start": 709.49, "end": 710.45, "word": " increasing،", "probability": 0.7215576171875}, {"start": 710.45, "end": 710.51, "word": " و", "probability": 0.6533203125}, {"start": 710.51, "end": 710.85, "word": " أكبر", "probability": 0.9269205729166666}, {"start": 710.85, "end": 711.31, "word": " بتصير", "probability": 0.83740234375}, {"start": 711.31, "end": 711.59, "word": " إذا", "probability": 0.67724609375}, {"start": 711.59, "end": 711.91, "word": " كانت", "probability": 0.930908203125}, {"start": 711.91, "end": 712.03, "word": " هنا", "probability": 0.95849609375}, {"start": 712.03, "end": 712.95, "word": " أكبر،", "probability": 0.806640625}, {"start": 712.95, "end": 713.45, "word": " أكبر،", "probability": 0.814208984375}, {"start": 713.45, "end": 713.51, "word": " و", "probability": 0.61865234375}, {"start": 713.51, "end": 713.73, "word": " هنا", "probability": 0.923828125}, {"start": 713.73, "end": 714.33, "word": " أقل،", "probability": 0.924560546875}, {"start": 714.33, "end": 714.71, "word": " بتكون", "probability": 0.941162109375}, {"start": 714.71, "end": 715.37, "word": " decreasing", "probability": 0.440673828125}], "temperature": 1.0}, {"id": 29, "seek": 74097, "start": 715.99, "end": 740.97, "text": "إذا أكبر أو أقل في الحالتين أنه لا يساوي، لا يساوي معناه ذلك أن ال function is one to one إذا ال functions ال increasing و ال decreasing are one to one إذا كانت طب ال function increasing و عودت رجعت decreasing ممكن تكون one to one و ممكن لأ على حسب الرسمة مثلا show that f of x تساوي x أز خمسة عارة أربعة is one to one on its domain", "tokens": [28814, 15730, 5551, 4117, 26890, 34051, 5551, 4587, 1211, 8978, 21542, 6027, 2655, 9957, 14739, 3224, 20193, 7251, 3794, 995, 45865, 12399, 20193, 7251, 3794, 995, 45865, 20449, 8315, 3224, 29910, 23275, 14739, 2423, 2445, 307, 472, 281, 472, 11933, 15730, 2423, 6828, 2423, 5662, 4032, 2423, 23223, 366, 472, 281, 472, 11933, 15730, 25961, 2655, 23032, 3555, 2423, 2445, 5662, 4032, 6225, 23328, 2655, 12602, 7435, 34268, 23223, 3714, 43020, 6055, 30544, 472, 281, 472, 4032, 3714, 43020, 5296, 10721, 15844, 11331, 35457, 34892, 38251, 3660, 50113, 15040, 855, 300, 283, 295, 2031, 6055, 3794, 995, 45865, 2031, 5551, 11622, 16490, 2304, 3794, 3660, 6225, 9640, 3660, 5551, 25513, 27884, 307, 472, 281, 472, 322, 1080, 9274], "avg_logprob": -0.19472164015810028, "compression_ratio": 1.8525896414342629, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 715.99, "end": 716.37, "word": "إذا", "probability": 0.50360107421875}, {"start": 716.37, "end": 716.87, "word": " أكبر", "probability": 0.8997395833333334}, {"start": 716.87, "end": 717.11, "word": " أو", "probability": 0.8974609375}, {"start": 717.11, "end": 717.63, "word": " أقل", "probability": 0.98876953125}, {"start": 717.63, "end": 718.01, "word": " في", "probability": 0.78076171875}, {"start": 718.01, "end": 718.79, "word": " الحالتين", "probability": 0.9219970703125}, {"start": 718.79, "end": 719.25, "word": " أنه", "probability": 0.7060546875}, {"start": 719.25, "end": 719.35, "word": " لا", "probability": 0.84765625}, {"start": 719.35, "end": 720.07, "word": " يساوي،", "probability": 0.79013671875}, {"start": 720.07, "end": 720.19, "word": " لا", "probability": 0.474365234375}, {"start": 720.19, "end": 720.75, "word": " يساوي", "probability": 0.979248046875}, {"start": 720.75, "end": 721.21, "word": " معناه", "probability": 0.6837565104166666}, {"start": 721.21, "end": 721.51, "word": " ذلك", "probability": 0.9755859375}, {"start": 721.51, "end": 721.71, "word": " أن", "probability": 0.71923828125}, {"start": 721.71, "end": 721.83, "word": " ال", "probability": 0.90576171875}, {"start": 721.83, "end": 722.07, "word": " function", "probability": 0.343994140625}, {"start": 722.07, "end": 722.37, "word": " is", "probability": 0.86181640625}, {"start": 722.37, "end": 722.67, "word": " one", "probability": 0.7685546875}, {"start": 722.67, "end": 723.05, "word": " to", "probability": 0.74658203125}, {"start": 723.05, "end": 723.31, "word": " one", "probability": 0.955078125}, {"start": 723.31, "end": 723.77, "word": " إذا", "probability": 0.712890625}, {"start": 723.77, "end": 723.95, "word": " ال", "probability": 0.95361328125}, {"start": 723.95, "end": 724.33, "word": " functions", "probability": 0.68359375}, {"start": 724.33, "end": 724.53, "word": " ال", "probability": 0.76708984375}, {"start": 724.53, "end": 724.99, "word": " increasing", "probability": 0.65478515625}, {"start": 724.99, "end": 725.23, "word": " و", "probability": 0.88623046875}, {"start": 725.23, "end": 725.29, "word": " ال", "probability": 0.85595703125}, {"start": 725.29, "end": 725.71, "word": " decreasing", "probability": 0.94482421875}, {"start": 725.71, "end": 726.47, "word": " are", "probability": 0.8662109375}, {"start": 726.47, "end": 726.75, "word": " one", "probability": 0.95263671875}, {"start": 726.75, "end": 726.99, "word": " to", "probability": 0.97021484375}, {"start": 726.99, "end": 727.19, "word": " one", "probability": 0.951171875}, {"start": 727.19, "end": 727.73, "word": " إذا", "probability": 0.932373046875}, {"start": 727.73, "end": 728.05, "word": " كانت", "probability": 0.95654296875}, {"start": 728.05, "end": 728.15, "word": " طب", "probability": 0.869873046875}, {"start": 728.15, "end": 728.23, "word": " ال", "probability": 0.9453125}, {"start": 728.23, "end": 728.51, "word": " function", "probability": 0.9462890625}, {"start": 728.51, "end": 729.27, "word": " increasing", "probability": 0.98779296875}, {"start": 729.27, "end": 729.89, "word": " و", "probability": 0.9384765625}, {"start": 729.89, "end": 730.31, "word": " عودت", "probability": 0.5519205729166666}, {"start": 730.31, "end": 730.71, "word": " رجعت", "probability": 0.9542643229166666}, {"start": 730.71, "end": 731.31, "word": " decreasing", "probability": 0.97802734375}, {"start": 731.31, "end": 732.05, "word": " ممكن", "probability": 0.91162109375}, {"start": 732.05, "end": 732.39, "word": " تكون", "probability": 0.988037109375}, {"start": 732.39, "end": 732.59, "word": " one", "probability": 0.9521484375}, {"start": 732.59, "end": 732.73, "word": " to", "probability": 0.9716796875}, {"start": 732.73, "end": 732.89, "word": " one", "probability": 0.95751953125}, {"start": 732.89, "end": 732.99, "word": " و", "probability": 0.9296875}, {"start": 732.99, "end": 733.25, "word": " ممكن", "probability": 0.94140625}, {"start": 733.25, "end": 733.51, "word": " لأ", "probability": 0.901123046875}, {"start": 733.51, "end": 733.67, "word": " على", "probability": 0.8916015625}, {"start": 733.67, "end": 734.05, "word": " حسب", "probability": 0.9775390625}, {"start": 734.05, "end": 735.15, "word": " الرسمة", "probability": 0.9679361979166666}, {"start": 735.15, "end": 735.89, "word": " مثلا", "probability": 0.8759765625}, {"start": 735.89, "end": 736.95, "word": " show", "probability": 0.79541015625}, {"start": 736.95, "end": 737.27, "word": " that", "probability": 0.94189453125}, {"start": 737.27, "end": 737.55, "word": " f", "probability": 0.66357421875}, {"start": 737.55, "end": 737.73, "word": " of", "probability": 0.166259765625}, {"start": 737.73, "end": 737.93, "word": " x", "probability": 0.77685546875}, {"start": 737.93, "end": 738.31, "word": " تساوي", "probability": 0.6955108642578125}, {"start": 738.31, "end": 738.51, "word": " x", "probability": 0.923828125}, {"start": 738.51, "end": 738.69, "word": " أز", "probability": 0.4073486328125}, {"start": 738.69, "end": 739.07, "word": " خمسة", "probability": 0.9378662109375}, {"start": 739.07, "end": 739.23, "word": " عارة", "probability": 0.7306315104166666}, {"start": 739.23, "end": 739.55, "word": " أربعة", "probability": 0.9425455729166666}, {"start": 739.55, "end": 739.73, "word": " is", "probability": 0.91455078125}, {"start": 739.73, "end": 739.93, "word": " one", "probability": 0.95849609375}, {"start": 739.93, "end": 740.07, "word": " to", "probability": 0.958984375}, {"start": 740.07, "end": 740.21, "word": " one", "probability": 0.94677734375}, {"start": 740.21, "end": 740.39, "word": " on", "probability": 0.9150390625}, {"start": 740.39, "end": 740.59, "word": " its", "probability": 0.833984375}, {"start": 740.59, "end": 740.97, "word": " domain", "probability": 0.99169921875}], "temperature": 1.0}, {"id": 30, "seek": 76017, "start": 741.25, "end": 760.17, "text": "الان بنستخدم ال increasing and decreasing بجيب f prime of x خمسة على أربع x أصرابع، طبعا x أصرابع يعني الجدر الرابع دائما موجب، و بالتالي f prime دائما موجبة، إذا ال f تبعتي increasing for all x in its domain اللي هو من صفر إلى مدني، إذا ال function تبعتي is one to one", "tokens": [6027, 7649, 4724, 1863, 14851, 9778, 40448, 2423, 5662, 293, 23223, 4724, 7435, 1829, 3555, 283, 5835, 295, 2031, 16490, 2304, 3794, 3660, 15844, 5551, 25513, 3615, 2031, 5551, 9381, 2288, 16758, 3615, 12399, 23032, 3555, 3615, 995, 2031, 5551, 9381, 2288, 16758, 3615, 37495, 22653, 25724, 3215, 2288, 34892, 16758, 3615, 11778, 16373, 15042, 3714, 29245, 3555, 12399, 4032, 20666, 2655, 6027, 1829, 283, 5835, 11778, 16373, 15042, 3714, 29245, 49401, 12399, 11933, 15730, 2423, 283, 6055, 3555, 3615, 31371, 5662, 337, 439, 2031, 294, 1080, 9274, 13672, 1829, 31439, 9154, 20328, 5172, 2288, 30731, 3714, 3215, 22653, 12399, 11933, 15730, 2423, 2445, 6055, 3555, 3615, 31371, 307, 472, 281, 472], "avg_logprob": -0.27779314159292035, "compression_ratio": 1.7112068965517242, "no_speech_prob": 2.0265579223632812e-06, "words": [{"start": 741.25, "end": 741.85, "word": "الان", "probability": 0.69677734375}, {"start": 741.85, "end": 742.53, "word": " بنستخدم", "probability": 0.708544921875}, {"start": 742.53, "end": 742.63, "word": " ال", "probability": 0.634765625}, {"start": 742.63, "end": 742.99, "word": " increasing", "probability": 0.45751953125}, {"start": 742.99, "end": 743.21, "word": " and", "probability": 0.4052734375}, {"start": 743.21, "end": 743.57, "word": " decreasing", "probability": 0.95361328125}, {"start": 743.57, "end": 743.99, "word": " بجيب", "probability": 0.8245849609375}, {"start": 743.99, "end": 744.15, "word": " f", "probability": 0.386962890625}, {"start": 744.15, "end": 744.47, "word": " prime", "probability": 0.52197265625}, {"start": 744.47, "end": 744.67, "word": " of", "probability": 0.88916015625}, {"start": 744.67, "end": 745.03, "word": " x", "probability": 0.86083984375}, {"start": 745.03, "end": 745.61, "word": " خمسة", "probability": 0.7560272216796875}, {"start": 745.61, "end": 745.73, "word": " على", "probability": 0.5791015625}, {"start": 745.73, "end": 746.01, "word": " أربع", "probability": 0.7151692708333334}, {"start": 746.01, "end": 746.19, "word": " x", "probability": 0.587890625}, {"start": 746.19, "end": 746.85, "word": " أصرابع،", "probability": 0.5864359537760416}, {"start": 746.85, "end": 747.19, "word": " طبعا", "probability": 0.8485107421875}, {"start": 747.19, "end": 747.39, "word": " x", "probability": 0.79345703125}, {"start": 747.39, "end": 747.77, "word": " أصرابع", "probability": 0.94775390625}, {"start": 747.77, "end": 747.95, "word": " يعني", "probability": 0.9150390625}, {"start": 747.95, "end": 748.33, "word": " الجدر", "probability": 0.8517252604166666}, {"start": 748.33, "end": 748.65, "word": " الرابع", "probability": 0.93994140625}, {"start": 748.65, "end": 749.07, "word": " دائما", "probability": 0.8567708333333334}, {"start": 749.07, "end": 749.75, "word": " موجب،", "probability": 0.80303955078125}, {"start": 749.75, "end": 749.87, "word": " و", "probability": 0.73876953125}, {"start": 749.87, "end": 750.17, "word": " بالتالي", "probability": 0.7523345947265625}, {"start": 750.17, "end": 750.35, "word": " f", "probability": 0.80712890625}, {"start": 750.35, "end": 750.63, "word": " prime", "probability": 0.84423828125}, {"start": 750.63, "end": 751.19, "word": " دائما", "probability": 0.9490559895833334}, {"start": 751.19, "end": 752.27, "word": " موجبة،", "probability": 0.893798828125}, {"start": 752.27, "end": 752.45, "word": " إذا", "probability": 0.745361328125}, {"start": 752.45, "end": 752.63, "word": " ال", "probability": 0.73046875}, {"start": 752.63, "end": 752.79, "word": " f", "probability": 0.41943359375}, {"start": 752.79, "end": 753.25, "word": " تبعتي", "probability": 0.8680419921875}, {"start": 753.25, "end": 754.03, "word": " increasing", "probability": 0.9814453125}, {"start": 754.03, "end": 754.69, "word": " for", "probability": 0.92431640625}, {"start": 754.69, "end": 754.91, "word": " all", "probability": 0.96044921875}, {"start": 754.91, "end": 755.17, "word": " x", "probability": 0.98193359375}, {"start": 755.17, "end": 755.33, "word": " in", "probability": 0.9072265625}, {"start": 755.33, "end": 755.57, "word": " its", "probability": 0.85693359375}, {"start": 755.57, "end": 755.91, "word": " domain", "probability": 0.96728515625}, {"start": 755.91, "end": 756.05, "word": " اللي", "probability": 0.8447265625}, {"start": 756.05, "end": 756.15, "word": " هو", "probability": 0.89599609375}, {"start": 756.15, "end": 756.29, "word": " من", "probability": 0.990234375}, {"start": 756.29, "end": 756.55, "word": " صفر", "probability": 0.7174479166666666}, {"start": 756.55, "end": 756.77, "word": " إلى", "probability": 0.884765625}, {"start": 756.77, "end": 757.45, "word": " مدني،", "probability": 0.676513671875}, {"start": 757.45, "end": 757.97, "word": " إذا", "probability": 0.89453125}, {"start": 757.97, "end": 758.13, "word": " ال", "probability": 0.875}, {"start": 758.13, "end": 758.39, "word": " function", "probability": 0.9091796875}, {"start": 758.39, "end": 758.83, "word": " تبعتي", "probability": 0.9295654296875}, {"start": 758.83, "end": 759.03, "word": " is", "probability": 0.6611328125}, {"start": 759.03, "end": 759.33, "word": " one", "probability": 0.87890625}, {"start": 759.33, "end": 759.87, "word": " to", "probability": 0.912109375}, {"start": 759.87, "end": 760.17, "word": " one", "probability": 0.95751953125}], "temperature": 1.0}, {"id": 31, "seek": 78921, "start": 761.57, "end": 789.21, "text": "مثل آخر f of x تساوي ناقص tan x من ناقص بي على 2 إلى بي على 2 الان بنجيبها عن طريق ال derivative ال increasing و ال decreasing بنقول f prime تساوي تفاضل ال tan sec تربيع وهي السالب طبعا الsec تربيه تربيه لأنها تربيح دائما موجبة وفيه أن سالب هنا يبقى هذه سالبة دائما يعني ال function f is decreasing يدن ال function f is one to one فالان ملخص هذا الكلام كيف انا بدي اثبت one to one", "tokens": [2304, 12984, 1211, 19753, 34740, 283, 295, 2031, 6055, 3794, 995, 45865, 8717, 995, 4587, 9381, 7603, 2031, 9154, 8717, 995, 4587, 9381, 4724, 1829, 15844, 568, 30731, 4724, 1829, 15844, 568, 2423, 7649, 44945, 7435, 1829, 3555, 11296, 18871, 23032, 16572, 4587, 2423, 13760, 2423, 5662, 4032, 2423, 23223, 44945, 39648, 283, 5835, 6055, 3794, 995, 45865, 6055, 5172, 46958, 1211, 2423, 7603, 907, 6055, 2288, 21292, 3615, 37037, 1829, 21136, 6027, 3555, 23032, 3555, 3615, 995, 2423, 8159, 6055, 2288, 21292, 3224, 6055, 2288, 21292, 3224, 5296, 33456, 11296, 6055, 2288, 21292, 5016, 11778, 16373, 15042, 3714, 29245, 49401, 4032, 41185, 3224, 14739, 8608, 6027, 3555, 34105, 7251, 3555, 4587, 7578, 29538, 8608, 6027, 49401, 11778, 16373, 15042, 37495, 22653, 2423, 2445, 283, 307, 23223, 7251, 3215, 1863, 2423, 2445, 283, 307, 472, 281, 472, 6156, 6027, 7649, 3714, 1211, 9778, 9381, 23758, 2423, 28820, 10943, 9122, 33911, 1975, 8315, 4724, 16254, 1975, 12984, 3555, 2655, 472, 281, 472], "avg_logprob": -0.25424383212754753, "compression_ratio": 1.9105960264900663, "no_speech_prob": 1.1086463928222656e-05, "words": [{"start": 761.57, "end": 761.97, "word": "مثل", "probability": 0.79150390625}, {"start": 761.97, "end": 762.57, "word": " آخر", "probability": 0.8935546875}, {"start": 762.57, "end": 763.07, "word": " f", "probability": 0.31201171875}, {"start": 763.07, "end": 763.27, "word": " of", "probability": 0.163818359375}, {"start": 763.27, "end": 763.49, "word": " x", "probability": 0.81982421875}, {"start": 763.49, "end": 764.19, "word": " تساوي", "probability": 0.818115234375}, {"start": 764.19, "end": 764.97, "word": " ناقص", "probability": 0.84228515625}, {"start": 764.97, "end": 765.17, "word": " tan", "probability": 0.35107421875}, {"start": 765.17, "end": 765.45, "word": " x", "probability": 0.86962890625}, {"start": 765.45, "end": 765.65, "word": " من", "probability": 0.91064453125}, {"start": 765.65, "end": 765.97, "word": " ناقص", "probability": 0.947265625}, {"start": 765.97, "end": 766.11, "word": " بي", "probability": 0.40264892578125}, {"start": 766.11, "end": 766.17, "word": " على", "probability": 0.369384765625}, {"start": 766.17, "end": 766.33, "word": " 2", "probability": 0.53076171875}, {"start": 766.33, "end": 766.45, "word": " إلى", "probability": 0.6083984375}, {"start": 766.45, "end": 766.61, "word": " بي", "probability": 0.9091796875}, {"start": 766.61, "end": 766.71, "word": " على", "probability": 0.89208984375}, {"start": 766.71, "end": 767.11, "word": " 2", "probability": 0.94091796875}, {"start": 767.11, "end": 767.89, "word": " الان", "probability": 0.55804443359375}, {"start": 767.89, "end": 768.43, "word": " بنجيبها", "probability": 0.800390625}, {"start": 768.43, "end": 768.55, "word": " عن", "probability": 0.8388671875}, {"start": 768.55, "end": 768.83, "word": " طريق", "probability": 0.9905598958333334}, {"start": 768.83, "end": 768.95, "word": " ال", "probability": 0.9619140625}, {"start": 768.95, "end": 769.45, "word": " derivative", "probability": 0.8173828125}, {"start": 769.45, "end": 769.85, "word": " ال", "probability": 0.498291015625}, {"start": 769.85, "end": 770.25, "word": " increasing", "probability": 0.77099609375}, {"start": 770.25, "end": 770.47, "word": " و", "probability": 0.72412109375}, {"start": 770.47, "end": 770.53, "word": " ال", "probability": 0.84423828125}, {"start": 770.53, "end": 770.93, "word": " decreasing", "probability": 0.955078125}, {"start": 770.93, "end": 771.61, "word": " بنقول", "probability": 0.848876953125}, {"start": 771.61, "end": 771.81, "word": " f", "probability": 0.7744140625}, {"start": 771.81, "end": 772.13, "word": " prime", "probability": 0.284423828125}, {"start": 772.13, "end": 772.65, "word": " تساوي", "probability": 0.9505615234375}, {"start": 772.65, "end": 773.11, "word": " تفاضل", "probability": 0.9549560546875}, {"start": 773.11, "end": 773.23, "word": " ال", "probability": 0.43310546875}, {"start": 773.23, "end": 773.37, "word": " tan", "probability": 0.75732421875}, {"start": 773.37, "end": 773.55, "word": " sec", "probability": 0.052581787109375}, {"start": 773.55, "end": 774.17, "word": " تربيع", "probability": 0.863037109375}, {"start": 774.17, "end": 774.65, "word": " وهي", "probability": 0.833740234375}, {"start": 774.65, "end": 775.19, "word": " السالب", "probability": 0.9288736979166666}, {"start": 775.19, "end": 775.79, "word": " طبعا", "probability": 0.86773681640625}, {"start": 775.79, "end": 776.09, "word": " الsec", "probability": 0.7186279296875}, {"start": 776.09, "end": 776.47, "word": " تربيه", "probability": 0.8743896484375}, {"start": 776.47, "end": 776.91, "word": " تربيه", "probability": 0.9146728515625}, {"start": 776.91, "end": 777.27, "word": " لأنها", "probability": 0.7967122395833334}, {"start": 777.27, "end": 777.65, "word": " تربيح", "probability": 0.7891845703125}, {"start": 777.65, "end": 778.05, "word": " دائما", "probability": 0.89404296875}, {"start": 778.05, "end": 778.55, "word": " موجبة", "probability": 0.9607747395833334}, {"start": 778.55, "end": 779.11, "word": " وفيه", "probability": 0.53955078125}, {"start": 779.11, "end": 779.23, "word": " أن", "probability": 0.49755859375}, {"start": 779.23, "end": 779.59, "word": " سالب", "probability": 0.9083658854166666}, {"start": 779.59, "end": 779.75, "word": " هنا", "probability": 0.92041015625}, {"start": 779.75, "end": 779.95, "word": " يبقى", "probability": 0.9456787109375}, {"start": 779.95, "end": 780.17, "word": " هذه", "probability": 0.264892578125}, {"start": 780.17, "end": 780.63, "word": " سالبة", "probability": 0.8966471354166666}, {"start": 780.63, "end": 781.25, "word": " دائما", "probability": 0.9635416666666666}, {"start": 781.25, "end": 782.01, "word": " يعني", "probability": 0.887939453125}, {"start": 782.01, "end": 782.17, "word": " ال", "probability": 0.90380859375}, {"start": 782.17, "end": 782.43, "word": " function", "probability": 0.9267578125}, {"start": 782.43, "end": 782.71, "word": " f", "probability": 0.728515625}, {"start": 782.71, "end": 782.95, "word": " is", "probability": 0.92236328125}, {"start": 782.95, "end": 783.57, "word": " decreasing", "probability": 0.95166015625}, {"start": 783.57, "end": 783.97, "word": " يدن", "probability": 0.4718831380208333}, {"start": 783.97, "end": 784.07, "word": " ال", "probability": 0.95263671875}, {"start": 784.07, "end": 784.35, "word": " function", "probability": 0.91552734375}, {"start": 784.35, "end": 784.63, "word": " f", "probability": 0.8525390625}, {"start": 784.63, "end": 784.87, "word": " is", "probability": 0.93359375}, {"start": 784.87, "end": 785.13, "word": " one", "probability": 0.720703125}, {"start": 785.13, "end": 785.41, "word": " to", "probability": 0.91455078125}, {"start": 785.41, "end": 785.65, "word": " one", "probability": 0.955078125}, {"start": 785.65, "end": 786.95, "word": " فالان", "probability": 0.7305501302083334}, {"start": 786.95, "end": 787.39, "word": " ملخص", "probability": 0.962646484375}, {"start": 787.39, "end": 787.55, "word": " هذا", "probability": 0.6845703125}, {"start": 787.55, "end": 787.87, "word": " الكلام", "probability": 0.9664713541666666}, {"start": 787.87, "end": 788.05, "word": " كيف", "probability": 0.9228515625}, {"start": 788.05, "end": 788.19, "word": " انا", "probability": 0.79345703125}, {"start": 788.19, "end": 788.35, "word": " بدي", "probability": 0.737060546875}, {"start": 788.35, "end": 788.65, "word": " اثبت", "probability": 0.8455810546875}, {"start": 788.65, "end": 788.83, "word": " one", "probability": 0.92822265625}, {"start": 788.83, "end": 788.97, "word": " to", "probability": 0.97412109375}, {"start": 788.97, "end": 789.21, "word": " one", "probability": 0.9482421875}], "temperature": 1.0}, {"id": 32, "seek": 81783, "start": 789.41, "end": 817.83, "text": "بدي أستخدم الفتوهات التالية أول إشي أني أنا أشوفها increasing أو decreasing إذا كانت يا increasing أو decreasing واحدة منهم على on its domain بتكون ال function is one to one هذه أول طريقة بستخدمها يعني أول ما ببدأ ببدأ بال increasing و decreasing لو كانت مرات decreasing و مرات increasing مروح بشوف يا بستخدم ال graph إذا كانت هي ال function سهل رسمتها إذا كان صعب رسمتها بستخدمش ال graph مروح برجع لل definition", "tokens": [3555, 16254, 5551, 14851, 9778, 40448, 27188, 2655, 2407, 3224, 9307, 16712, 6027, 10632, 5551, 12610, 11933, 8592, 1829, 14739, 1829, 41850, 5551, 8592, 38688, 11296, 5662, 34051, 23223, 11933, 15730, 25961, 2655, 35186, 5662, 34051, 23223, 36764, 24401, 3660, 9154, 16095, 15844, 322, 1080, 9274, 39894, 30544, 2423, 2445, 307, 472, 281, 472, 29538, 5551, 12610, 23032, 16572, 28671, 4724, 14851, 9778, 40448, 11296, 37495, 22653, 5551, 12610, 19446, 4724, 44510, 10721, 4724, 44510, 10721, 20666, 5662, 4032, 23223, 45164, 25961, 2655, 3714, 2288, 9307, 23223, 4032, 3714, 2288, 9307, 5662, 3714, 32887, 5016, 4724, 8592, 38688, 35186, 4724, 14851, 9778, 40448, 2423, 4295, 11933, 15730, 25961, 2655, 39896, 2423, 2445, 8608, 3224, 1211, 12602, 38251, 2655, 11296, 11933, 15730, 25961, 20328, 3615, 3555, 12602, 38251, 2655, 11296, 4724, 14851, 9778, 40448, 8592, 2423, 4295, 3714, 32887, 5016, 4724, 47341, 3615, 24976, 7123], "avg_logprob": -0.16443965681667985, "compression_ratio": 2.158450704225352, "no_speech_prob": 4.7206878662109375e-05, "words": [{"start": 789.41, "end": 789.75, "word": "بدي", "probability": 0.26751708984375}, {"start": 789.75, "end": 790.19, "word": " أستخدم", "probability": 0.82061767578125}, {"start": 790.19, "end": 790.67, "word": " الفتوهات", "probability": 0.69052734375}, {"start": 790.67, "end": 791.03, "word": " التالية", "probability": 0.98193359375}, {"start": 791.03, "end": 791.35, "word": " أول", "probability": 0.813720703125}, {"start": 791.35, "end": 791.79, "word": " إشي", "probability": 0.6869303385416666}, {"start": 791.79, "end": 792.41, "word": " أني", "probability": 0.6429443359375}, {"start": 792.41, "end": 792.59, "word": " أنا", "probability": 0.689453125}, {"start": 792.59, "end": 793.05, "word": " أشوفها", "probability": 0.95068359375}, {"start": 793.05, "end": 793.45, "word": " increasing", "probability": 0.94384765625}, {"start": 793.45, "end": 793.75, "word": " أو", "probability": 0.8349609375}, {"start": 793.75, "end": 794.21, "word": " decreasing", "probability": 0.97607421875}, {"start": 794.21, "end": 795.13, "word": " إذا", "probability": 0.93408203125}, {"start": 795.13, "end": 795.51, "word": " كانت", "probability": 0.980224609375}, {"start": 795.51, "end": 795.61, "word": " يا", "probability": 0.40185546875}, {"start": 795.61, "end": 796.17, "word": " increasing", "probability": 0.95703125}, {"start": 796.17, "end": 796.57, "word": " أو", "probability": 0.810546875}, {"start": 796.57, "end": 797.05, "word": " decreasing", "probability": 0.97265625}, {"start": 797.05, "end": 797.51, "word": " واحدة", "probability": 0.96875}, {"start": 797.51, "end": 797.93, "word": " منهم", "probability": 0.984130859375}, {"start": 797.93, "end": 798.19, "word": " على", "probability": 0.7255859375}, {"start": 798.19, "end": 799.05, "word": " on", "probability": 0.293212890625}, {"start": 799.05, "end": 799.31, "word": " its", "probability": 0.8505859375}, {"start": 799.31, "end": 799.79, "word": " domain", "probability": 0.97021484375}, {"start": 799.79, "end": 800.61, "word": " بتكون", "probability": 0.793212890625}, {"start": 800.61, "end": 800.75, "word": " ال", "probability": 0.9794921875}, {"start": 800.75, "end": 801.01, "word": " function", "probability": 0.52978515625}, {"start": 801.01, "end": 801.27, "word": " is", "probability": 0.83544921875}, {"start": 801.27, "end": 801.47, "word": " one", "probability": 0.8759765625}, {"start": 801.47, "end": 801.59, "word": " to", "probability": 0.7705078125}, {"start": 801.59, "end": 801.73, "word": " one", "probability": 0.95361328125}, {"start": 801.73, "end": 801.95, "word": " هذه", "probability": 0.5771484375}, {"start": 801.95, "end": 802.21, "word": " أول", "probability": 0.9638671875}, {"start": 802.21, "end": 802.89, "word": " طريقة", "probability": 0.9733072916666666}, {"start": 802.89, "end": 803.47, "word": " بستخدمها", "probability": 0.94453125}, {"start": 803.47, "end": 803.63, "word": " يعني", "probability": 0.824951171875}, {"start": 803.63, "end": 803.93, "word": " أول", "probability": 0.94287109375}, {"start": 803.93, "end": 804.05, "word": " ما", "probability": 0.85986328125}, {"start": 804.05, "end": 804.45, "word": " ببدأ", "probability": 0.9765625}, {"start": 804.45, "end": 804.85, "word": " ببدأ", "probability": 0.8837890625}, {"start": 804.85, "end": 805.01, "word": " بال", "probability": 0.94140625}, {"start": 805.01, "end": 805.41, "word": " increasing", "probability": 0.9453125}, {"start": 805.41, "end": 805.61, "word": " و", "probability": 0.2919921875}, {"start": 805.61, "end": 805.79, "word": " decreasing", "probability": 0.84423828125}, {"start": 805.79, "end": 806.61, "word": " لو", "probability": 0.859375}, {"start": 806.61, "end": 807.01, "word": " كانت", "probability": 0.988037109375}, {"start": 807.01, "end": 807.31, "word": " مرات", "probability": 0.9677734375}, {"start": 807.31, "end": 807.73, "word": " decreasing", "probability": 0.96923828125}, {"start": 807.73, "end": 807.89, "word": " و", "probability": 0.98974609375}, {"start": 807.89, "end": 808.17, "word": " مرات", "probability": 0.8855794270833334}, {"start": 808.17, "end": 808.81, "word": " increasing", "probability": 0.9765625}, {"start": 808.81, "end": 809.49, "word": " مروح", "probability": 0.8429361979166666}, {"start": 809.49, "end": 809.91, "word": " بشوف", "probability": 0.9864908854166666}, {"start": 809.91, "end": 810.09, "word": " يا", "probability": 0.7001953125}, {"start": 810.09, "end": 810.61, "word": " بستخدم", "probability": 0.96630859375}, {"start": 810.61, "end": 810.75, "word": " ال", "probability": 0.71484375}, {"start": 810.75, "end": 811.09, "word": " graph", "probability": 0.91748046875}, {"start": 811.09, "end": 811.37, "word": " إذا", "probability": 0.95849609375}, {"start": 811.37, "end": 811.73, "word": " كانت", "probability": 0.984375}, {"start": 811.73, "end": 811.83, "word": " هي", "probability": 0.404296875}, {"start": 811.83, "end": 811.93, "word": " ال", "probability": 0.97119140625}, {"start": 811.93, "end": 812.25, "word": " function", "probability": 0.9580078125}, {"start": 812.25, "end": 812.91, "word": " سهل", "probability": 0.982421875}, {"start": 812.91, "end": 813.43, "word": " رسمتها", "probability": 0.9920654296875}, {"start": 813.43, "end": 813.89, "word": " إذا", "probability": 0.949462890625}, {"start": 813.89, "end": 814.07, "word": " كان", "probability": 0.99267578125}, {"start": 814.07, "end": 814.35, "word": " صعب", "probability": 0.9920247395833334}, {"start": 814.35, "end": 814.77, "word": " رسمتها", "probability": 0.9898681640625}, {"start": 814.77, "end": 815.37, "word": " بستخدمش", "probability": 0.9109375}, {"start": 815.37, "end": 815.49, "word": " ال", "probability": 0.90625}, {"start": 815.49, "end": 815.71, "word": " graph", "probability": 0.9765625}, {"start": 815.71, "end": 816.03, "word": " مروح", "probability": 0.9869791666666666}, {"start": 816.03, "end": 816.49, "word": " برجع", "probability": 0.9757486979166666}, {"start": 816.49, "end": 817.09, "word": " لل", "probability": 0.66455078125}, {"start": 817.09, "end": 817.83, "word": " definition", "probability": 0.9189453125}], "temperature": 1.0}, {"id": 33, "seek": 84948, "start": 821.04, "end": 849.48, "text": "فالان نرجع لهذه الصفحة اللي هي بدنا نحكي عن ال inverse function الان خلصنا ال one to one وعرفنا كيف نثبت ان ال function is one to one الان ال function one to one هذه بتلزمنا ان نعرف ايش هي ال inverse function ايش ال inverse function هي الاقترانات المعكوسة معكوس مش مقلوب في اشي اسمه مقلوب وفيه معكوس مقلوب يعني واحد على معكوس لأ معكوس يعني ايش يعني باخد ال function ال function بتاخد العنصر و بتودي", "tokens": [5172, 6027, 7649, 8717, 47341, 3615, 46740, 24192, 31767, 5172, 5016, 3660, 13672, 1829, 39896, 47525, 8315, 8717, 5016, 4117, 1829, 18871, 2423, 17340, 2445, 2423, 7649, 16490, 1211, 9381, 8315, 2423, 472, 281, 472, 4032, 3615, 28480, 8315, 9122, 33911, 8717, 12984, 3555, 2655, 16472, 2423, 2445, 307, 472, 281, 472, 2423, 7649, 2423, 2445, 472, 281, 472, 29538, 39894, 1211, 11622, 2304, 8315, 16472, 8717, 3615, 28480, 1975, 1829, 8592, 39896, 2423, 17340, 2445, 1975, 1829, 8592, 2423, 17340, 2445, 39896, 42963, 38149, 2288, 7649, 9307, 9673, 3615, 4117, 41779, 3660, 20449, 4117, 41779, 37893, 3714, 4587, 1211, 37746, 8978, 1975, 8592, 1829, 24525, 2304, 3224, 3714, 4587, 1211, 37746, 4032, 41185, 3224, 20449, 4117, 41779, 3714, 4587, 1211, 37746, 37495, 22653, 36764, 24401, 15844, 20449, 4117, 41779, 5296, 10721, 20449, 4117, 41779, 37495, 22653, 1975, 1829, 8592, 37495, 22653, 4724, 47283, 3215, 2423, 2445, 2423, 2445, 39894, 47283, 3215, 18863, 1863, 9381, 2288, 4032, 39894, 2407, 16254], "avg_logprob": -0.18371506507352273, "compression_ratio": 2.2899628252788102, "no_speech_prob": 5.066394805908203e-06, "words": [{"start": 821.04, "end": 821.68, "word": "فالان", "probability": 0.6507975260416666}, {"start": 821.68, "end": 822.06, "word": " نرجع", "probability": 0.89111328125}, {"start": 822.06, "end": 822.4, "word": " لهذه", "probability": 0.74462890625}, {"start": 822.4, "end": 822.98, "word": " الصفحة", "probability": 0.9298095703125}, {"start": 822.98, "end": 823.3, "word": " اللي", "probability": 0.473876953125}, {"start": 823.3, "end": 823.52, "word": " هي", "probability": 0.74755859375}, {"start": 823.52, "end": 823.84, "word": " بدنا", "probability": 0.75341796875}, {"start": 823.84, "end": 824.16, "word": " نحكي", "probability": 0.96337890625}, {"start": 824.16, "end": 824.34, "word": " عن", "probability": 0.98876953125}, {"start": 824.34, "end": 824.46, "word": " ال", "probability": 0.89111328125}, {"start": 824.46, "end": 824.88, "word": " inverse", "probability": 0.55908203125}, {"start": 824.88, "end": 825.48, "word": " function", "probability": 0.9384765625}, {"start": 825.48, "end": 825.84, "word": " الان", "probability": 0.6439208984375}, {"start": 825.84, "end": 826.32, "word": " خلصنا", "probability": 0.9783935546875}, {"start": 826.32, "end": 826.42, "word": " ال", "probability": 0.99365234375}, {"start": 826.42, "end": 826.56, "word": " one", "probability": 0.7880859375}, {"start": 826.56, "end": 826.7, "word": " to", "probability": 0.720703125}, {"start": 826.7, "end": 826.92, "word": " one", "probability": 0.953125}, {"start": 826.92, "end": 827.78, "word": " وعرفنا", "probability": 0.835693359375}, {"start": 827.78, "end": 828.02, "word": " كيف", "probability": 0.974609375}, {"start": 828.02, "end": 828.38, "word": " نثبت", "probability": 0.9808349609375}, {"start": 828.38, "end": 828.54, "word": " ان", "probability": 0.56884765625}, {"start": 828.54, "end": 828.68, "word": " ال", "probability": 0.92431640625}, {"start": 828.68, "end": 828.96, "word": " function", "probability": 0.93798828125}, {"start": 828.96, "end": 829.2, "word": " is", "probability": 0.76513671875}, {"start": 829.2, "end": 829.42, "word": " one", "probability": 0.951171875}, {"start": 829.42, "end": 829.54, "word": " to", "probability": 0.97314453125}, {"start": 829.54, "end": 829.72, "word": " one", "probability": 0.9501953125}, {"start": 829.72, "end": 830.38, "word": " الان", "probability": 0.865234375}, {"start": 830.38, "end": 830.5, "word": " ال", "probability": 0.962890625}, {"start": 830.5, "end": 830.76, "word": " function", "probability": 0.939453125}, {"start": 830.76, "end": 831.0, "word": " one", "probability": 0.86767578125}, {"start": 831.0, "end": 831.14, "word": " to", "probability": 0.97314453125}, {"start": 831.14, "end": 831.28, "word": " one", "probability": 0.95361328125}, {"start": 831.28, "end": 831.5, "word": " هذه", "probability": 0.60595703125}, {"start": 831.5, "end": 832.14, "word": " بتلزمنا", "probability": 0.884765625}, {"start": 832.14, "end": 832.34, "word": " ان", "probability": 0.85498046875}, {"start": 832.34, "end": 832.88, "word": " نعرف", "probability": 0.8522135416666666}, {"start": 832.88, "end": 833.24, "word": " ايش", "probability": 0.7698567708333334}, {"start": 833.24, "end": 833.42, "word": " هي", "probability": 0.93603515625}, {"start": 833.42, "end": 833.56, "word": " ال", "probability": 0.9580078125}, {"start": 833.56, "end": 833.92, "word": " inverse", "probability": 0.951171875}, {"start": 833.92, "end": 834.38, "word": " function", "probability": 0.97412109375}, {"start": 834.38, "end": 834.88, "word": " ايش", "probability": 0.9200846354166666}, {"start": 834.88, "end": 834.98, "word": " ال", "probability": 0.9775390625}, {"start": 834.98, "end": 835.3, "word": " inverse", "probability": 0.94189453125}, {"start": 835.3, "end": 835.64, "word": " function", "probability": 0.97119140625}, {"start": 835.64, "end": 835.9, "word": " هي", "probability": 0.74169921875}, {"start": 835.9, "end": 837.22, "word": " الاقترانات", "probability": 0.92099609375}, {"start": 837.22, "end": 837.94, "word": " المعكوسة", "probability": 0.89453125}, {"start": 837.94, "end": 838.56, "word": " معكوس", "probability": 0.6983235677083334}, {"start": 838.56, "end": 839.4, "word": " مش", "probability": 0.343994140625}, {"start": 839.4, "end": 839.9, "word": " مقلوب", "probability": 0.9259033203125}, {"start": 839.9, "end": 840.1, "word": " في", "probability": 0.4462890625}, {"start": 840.1, "end": 840.28, "word": " اشي", "probability": 0.69482421875}, {"start": 840.28, "end": 840.56, "word": " اسمه", "probability": 0.97705078125}, {"start": 840.56, "end": 840.98, "word": " مقلوب", "probability": 0.927734375}, {"start": 840.98, "end": 841.44, "word": " وفيه", "probability": 0.6331380208333334}, {"start": 841.44, "end": 841.72, "word": " معكوس", "probability": 0.93798828125}, {"start": 841.72, "end": 842.08, "word": " مقلوب", "probability": 0.83935546875}, {"start": 842.08, "end": 842.28, "word": " يعني", "probability": 0.975830078125}, {"start": 842.28, "end": 842.58, "word": " واحد", "probability": 0.975830078125}, {"start": 842.58, "end": 842.76, "word": " على", "probability": 0.438232421875}, {"start": 842.76, "end": 843.62, "word": " معكوس", "probability": 0.7660319010416666}, {"start": 843.62, "end": 844.1, "word": " لأ", "probability": 0.7763671875}, {"start": 844.1, "end": 844.78, "word": " معكوس", "probability": 0.89794921875}, {"start": 844.78, "end": 845.1, "word": " يعني", "probability": 0.98291015625}, {"start": 845.1, "end": 845.38, "word": " ايش", "probability": 0.8115234375}, {"start": 845.38, "end": 845.6, "word": " يعني", "probability": 0.83056640625}, {"start": 845.6, "end": 846.08, "word": " باخد", "probability": 0.96875}, {"start": 846.08, "end": 846.28, "word": " ال", "probability": 0.96044921875}, {"start": 846.28, "end": 846.7, "word": " function", "probability": 0.97412109375}, {"start": 846.7, "end": 847.28, "word": " ال", "probability": 0.8603515625}, {"start": 847.28, "end": 847.6, "word": " function", "probability": 0.970703125}, {"start": 847.6, "end": 848.24, "word": " بتاخد", "probability": 0.9571940104166666}, {"start": 848.24, "end": 848.9, "word": " العنصر", "probability": 0.9739990234375}, {"start": 848.9, "end": 849.0, "word": " و", "probability": 0.748046875}, {"start": 849.0, "end": 849.48, "word": " بتودي", "probability": 0.7325846354166666}], "temperature": 1.0}, {"id": 34, "seek": 85376, "start": 849.94, "end": 853.76, "text": "لأ صورة ال inverse بتاخد الصورة و بترجحها لل answer", "tokens": [1211, 10721, 20328, 13063, 3660, 2423, 17340, 39894, 47283, 3215, 31767, 13063, 3660, 4032, 39894, 47341, 5016, 11296, 24976, 1867], "avg_logprob": -0.3257068565913609, "compression_ratio": 1.0389610389610389, "no_speech_prob": 0.0, "words": [{"start": 849.94, "end": 850.38, "word": "لأ", "probability": 0.710693359375}, {"start": 850.38, "end": 851.06, "word": " صورة", "probability": 0.7928873697916666}, {"start": 851.06, "end": 851.3, "word": " ال", "probability": 0.68310546875}, {"start": 851.3, "end": 851.74, "word": " inverse", "probability": 0.267822265625}, {"start": 851.74, "end": 852.56, "word": " بتاخد", "probability": 0.8333333333333334}, {"start": 852.56, "end": 852.82, "word": " الصورة", "probability": 0.98046875}, {"start": 852.82, "end": 852.86, "word": " و", "probability": 0.36572265625}, {"start": 852.86, "end": 853.34, "word": " بترجحها", "probability": 0.844482421875}, {"start": 853.34, "end": 853.46, "word": " لل", "probability": 0.67578125}, {"start": 853.46, "end": 853.76, "word": " answer", "probability": 0.81982421875}], "temperature": 1.0}, {"id": 35, "seek": 88365, "start": 856.47, "end": 883.65, "text": "لأن عشان تكون ال if inverse هذه موجودة لازم تكون ال function تبعتي one to one يبقى بالأول support that لازم شرط ضروري ان ال function if is one to one ولقيت بنشوف ليش الشرط هذا on its domain D with range R يعني ال domain تبعها D with range R ال inverse function اللي بدنا نرمزها بالرمز if inverse if ناقص واحد وما نرمزهاش if ناقص واحد او if plus سالب واحد", "tokens": [1211, 33456, 6225, 8592, 7649, 6055, 30544, 2423, 498, 17340, 29538, 3714, 29245, 23328, 3660, 5296, 31377, 2304, 6055, 30544, 2423, 2445, 6055, 3555, 3615, 31371, 472, 281, 472, 7251, 3555, 4587, 7578, 20666, 10721, 12610, 1406, 300, 5296, 31377, 2304, 13412, 2288, 9566, 48812, 2288, 13063, 1829, 16472, 2423, 2445, 498, 307, 472, 281, 472, 4032, 1211, 4587, 36081, 44945, 8592, 38688, 32239, 8592, 25124, 2288, 9566, 23758, 322, 1080, 9274, 413, 365, 3613, 497, 37495, 22653, 2423, 9274, 6055, 3555, 3615, 11296, 413, 365, 3613, 497, 2423, 17340, 2445, 13672, 1829, 47525, 8315, 8717, 2288, 2304, 11622, 11296, 20666, 2288, 2304, 11622, 498, 17340, 498, 8717, 995, 4587, 9381, 36764, 24401, 4032, 15042, 8717, 2288, 2304, 11622, 3224, 33599, 498, 8717, 995, 4587, 9381, 36764, 24401, 1975, 2407, 498, 1804, 8608, 6027, 3555, 36764, 24401], "avg_logprob": -0.20697463098643482, "compression_ratio": 1.8708487084870848, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 856.47, "end": 856.87, "word": "لأن", "probability": 0.679931640625}, {"start": 856.87, "end": 857.27, "word": " عشان", "probability": 0.9191080729166666}, {"start": 857.27, "end": 857.87, "word": " تكون", "probability": 0.951904296875}, {"start": 857.87, "end": 858.01, "word": " ال", "probability": 0.79345703125}, {"start": 858.01, "end": 858.23, "word": " if", "probability": 0.10638427734375}, {"start": 858.23, "end": 858.67, "word": " inverse", "probability": 0.81103515625}, {"start": 858.67, "end": 859.05, "word": " هذه", "probability": 0.73681640625}, {"start": 859.05, "end": 859.67, "word": " موجودة", "probability": 0.9803466796875}, {"start": 859.67, "end": 860.07, "word": " لازم", "probability": 0.9202473958333334}, {"start": 860.07, "end": 860.33, "word": " تكون", "probability": 0.97802734375}, {"start": 860.33, "end": 860.45, "word": " ال", "probability": 0.97265625}, {"start": 860.45, "end": 860.73, "word": " function", "probability": 0.81494140625}, {"start": 860.73, "end": 861.21, "word": " تبعتي", "probability": 0.910888671875}, {"start": 861.21, "end": 861.39, "word": " one", "probability": 0.5693359375}, {"start": 861.39, "end": 861.53, "word": " to", "probability": 0.86767578125}, {"start": 861.53, "end": 861.65, "word": " one", "probability": 0.95166015625}, {"start": 861.65, "end": 861.87, "word": " يبقى", "probability": 0.94140625}, {"start": 861.87, "end": 862.23, "word": " بالأول", "probability": 0.95361328125}, {"start": 862.23, "end": 862.69, "word": " support", "probability": 0.8154296875}, {"start": 862.69, "end": 863.15, "word": " that", "probability": 0.88232421875}, {"start": 863.15, "end": 864.15, "word": " لازم", "probability": 0.98095703125}, {"start": 864.15, "end": 864.61, "word": " شرط", "probability": 0.9361979166666666}, {"start": 864.61, "end": 865.33, "word": " ضروري", "probability": 0.937255859375}, {"start": 865.33, "end": 865.69, "word": " ان", "probability": 0.4599609375}, {"start": 865.69, "end": 865.85, "word": " ال", "probability": 0.591796875}, {"start": 865.85, "end": 866.15, "word": " function", "probability": 0.8876953125}, {"start": 866.15, "end": 866.43, "word": " if", "probability": 0.7392578125}, {"start": 866.43, "end": 866.65, "word": " is", "probability": 0.74853515625}, {"start": 866.65, "end": 866.87, "word": " one", "probability": 0.9482421875}, {"start": 866.87, "end": 866.99, "word": " to", "probability": 0.96875}, {"start": 866.99, "end": 867.13, "word": " one", "probability": 0.95166015625}, {"start": 867.13, "end": 867.41, "word": " ولقيت", "probability": 0.61376953125}, {"start": 867.41, "end": 867.77, "word": " بنشوف", "probability": 0.7132975260416666}, {"start": 867.77, "end": 868.07, "word": " ليش", "probability": 0.9150390625}, {"start": 868.07, "end": 868.81, "word": " الشرط", "probability": 0.9615885416666666}, {"start": 868.81, "end": 869.19, "word": " هذا", "probability": 0.7646484375}, {"start": 869.19, "end": 869.69, "word": " on", "probability": 0.33056640625}, {"start": 869.69, "end": 869.89, "word": " its", "probability": 0.81005859375}, {"start": 869.89, "end": 870.23, "word": " domain", "probability": 0.986328125}, {"start": 870.23, "end": 870.45, "word": " D", "probability": 0.8583984375}, {"start": 870.45, "end": 870.65, "word": " with", "probability": 0.88232421875}, {"start": 870.65, "end": 870.97, "word": " range", "probability": 0.92578125}, {"start": 870.97, "end": 871.35, "word": " R", "probability": 0.783203125}, {"start": 871.35, "end": 872.11, "word": " يعني", "probability": 0.893310546875}, {"start": 872.11, "end": 872.31, "word": " ال", "probability": 0.87841796875}, {"start": 872.31, "end": 872.55, "word": " domain", "probability": 0.99462890625}, {"start": 872.55, "end": 872.93, "word": " تبعها", "probability": 0.9444580078125}, {"start": 872.93, "end": 873.07, "word": " D", "probability": 0.75634765625}, {"start": 873.07, "end": 873.25, "word": " with", "probability": 0.5849609375}, {"start": 873.25, "end": 873.65, "word": " range", "probability": 0.720703125}, {"start": 873.65, "end": 874.17, "word": " R", "probability": 0.986328125}, {"start": 874.17, "end": 874.39, "word": " ال", "probability": 0.8857421875}, {"start": 874.39, "end": 874.79, "word": " inverse", "probability": 0.818359375}, {"start": 874.79, "end": 875.31, "word": " function", "probability": 0.97265625}, {"start": 875.31, "end": 875.83, "word": " اللي", "probability": 0.858642578125}, {"start": 875.83, "end": 876.09, "word": " بدنا", "probability": 0.86572265625}, {"start": 876.09, "end": 876.49, "word": " نرمزها", "probability": 0.8751953125}, {"start": 876.49, "end": 876.99, "word": " بالرمز", "probability": 0.9674072265625}, {"start": 876.99, "end": 877.33, "word": " if", "probability": 0.91748046875}, {"start": 877.33, "end": 877.95, "word": " inverse", "probability": 0.88330078125}, {"start": 877.95, "end": 878.63, "word": " if", "probability": 0.58837890625}, {"start": 878.63, "end": 879.13, "word": " ناقص", "probability": 0.72515869140625}, {"start": 879.13, "end": 879.47, "word": " واحد", "probability": 0.931396484375}, {"start": 879.47, "end": 879.65, "word": " وما", "probability": 0.60009765625}, {"start": 879.65, "end": 880.25, "word": " نرمزهاش", "probability": 0.80126953125}, {"start": 880.25, "end": 880.49, "word": " if", "probability": 0.48876953125}, {"start": 880.49, "end": 880.87, "word": " ناقص", "probability": 0.9876708984375}, {"start": 880.87, "end": 881.23, "word": " واحد", "probability": 0.987060546875}, {"start": 881.23, "end": 881.75, "word": " او", "probability": 0.828369140625}, {"start": 881.75, "end": 881.95, "word": " if", "probability": 0.8974609375}, {"start": 881.95, "end": 882.33, "word": " plus", "probability": 0.2333984375}, {"start": 882.33, "end": 883.27, "word": " سالب", "probability": 0.6628011067708334}, {"start": 883.27, "end": 883.65, "word": " واحد", "probability": 0.968017578125}], "temperature": 1.0}, {"id": 36, "seek": 91258, "start": 884.1, "end": 912.58, "text": "لأ هذه لفظة F inverse وليست أُسية يعني هذه ليست أُس يعني هذه لا تساوي واحد على F وإنما هي مجرد رمز لل F inverse إيش ال F inverse تعريفها؟ تعالوا نشوف على الرسمة إذا كانت ال function F بتاخد العماصر من المجموعة دي و بتوديها للمجموعة R اللي هي ال range و المنموعة دي هي ال domain هي domain ال F وهي range ال F و ال function كانت one to one إيش يعني one to one؟", "tokens": [1211, 10721, 29538, 5296, 5172, 19913, 3660, 479, 17340, 4032, 20292, 14851, 5551, 10859, 3794, 10632, 37495, 22653, 29538, 32239, 14851, 5551, 10859, 3794, 37495, 22653, 29538, 20193, 6055, 3794, 995, 45865, 36764, 24401, 15844, 479, 4032, 28814, 1863, 15042, 39896, 3714, 7435, 2288, 3215, 12602, 2304, 11622, 24976, 479, 17340, 11933, 1829, 8592, 2423, 479, 17340, 37279, 16572, 5172, 11296, 22807, 37279, 6027, 14407, 8717, 8592, 38688, 15844, 34892, 38251, 3660, 11933, 15730, 25961, 2655, 2423, 2445, 479, 39894, 47283, 3215, 18863, 15042, 9381, 2288, 9154, 9673, 7435, 2304, 2407, 27884, 11778, 1829, 4032, 39894, 2407, 16254, 11296, 5296, 19528, 7435, 2304, 2407, 27884, 497, 13672, 1829, 39896, 2423, 3613, 4032, 9673, 1863, 2304, 2407, 27884, 11778, 1829, 39896, 2423, 9274, 39896, 9274, 2423, 479, 37037, 1829, 3613, 2423, 479, 4032, 2423, 2445, 25961, 2655, 472, 281, 472, 11933, 1829, 8592, 37495, 22653, 472, 281, 472, 22807], "avg_logprob": -0.1973573805501797, "compression_ratio": 1.9857142857142858, "no_speech_prob": 1.1920928955078125e-06, "words": [{"start": 884.1, "end": 884.42, "word": "لأ", "probability": 0.856689453125}, {"start": 884.42, "end": 884.66, "word": " هذه", "probability": 0.595703125}, {"start": 884.66, "end": 885.28, "word": " لفظة", "probability": 0.9853515625}, {"start": 885.28, "end": 885.68, "word": " F", "probability": 0.45556640625}, {"start": 885.68, "end": 886.12, "word": " inverse", "probability": 0.444580078125}, {"start": 886.12, "end": 886.86, "word": " وليست", "probability": 0.84521484375}, {"start": 886.86, "end": 887.44, "word": " أُسية", "probability": 0.635528564453125}, {"start": 887.44, "end": 887.72, "word": " يعني", "probability": 0.779541015625}, {"start": 887.72, "end": 887.98, "word": " هذه", "probability": 0.65869140625}, {"start": 887.98, "end": 888.36, "word": " ليست", "probability": 0.791015625}, {"start": 888.36, "end": 888.7, "word": " أُس", "probability": 0.9729817708333334}, {"start": 888.7, "end": 889.14, "word": " يعني", "probability": 0.769775390625}, {"start": 889.14, "end": 889.4, "word": " هذه", "probability": 0.6611328125}, {"start": 889.4, "end": 889.5, "word": " لا", "probability": 0.5078125}, {"start": 889.5, "end": 890.02, "word": " تساوي", "probability": 0.9620361328125}, {"start": 890.02, "end": 890.4, "word": " واحد", "probability": 0.7017822265625}, {"start": 890.4, "end": 890.58, "word": " على", "probability": 0.77197265625}, {"start": 890.58, "end": 890.84, "word": " F", "probability": 0.8828125}, {"start": 890.84, "end": 892.5, "word": " وإنما", "probability": 0.930419921875}, {"start": 892.5, "end": 892.7, "word": " هي", "probability": 0.75830078125}, {"start": 892.7, "end": 893.18, "word": " مجرد", "probability": 0.9835205078125}, {"start": 893.18, "end": 893.58, "word": " رمز", "probability": 0.9933268229166666}, {"start": 893.58, "end": 894.02, "word": " لل", "probability": 0.70703125}, {"start": 894.02, "end": 894.28, "word": " F", "probability": 0.55126953125}, {"start": 894.28, "end": 894.78, "word": " inverse", "probability": 0.84521484375}, {"start": 894.78, "end": 895.4, "word": " إيش", "probability": 0.8134765625}, {"start": 895.4, "end": 895.52, "word": " ال", "probability": 0.8427734375}, {"start": 895.52, "end": 895.66, "word": " F", "probability": 0.78125}, {"start": 895.66, "end": 896.02, "word": " inverse", "probability": 0.84228515625}, {"start": 896.02, "end": 896.94, "word": " تعريفها؟", "probability": 0.855126953125}, {"start": 896.94, "end": 897.24, "word": " تعالوا", "probability": 0.8118489583333334}, {"start": 897.24, "end": 897.46, "word": " نشوف", "probability": 0.9947916666666666}, {"start": 897.46, "end": 897.62, "word": " على", "probability": 0.91796875}, {"start": 897.62, "end": 898.42, "word": " الرسمة", "probability": 0.9757486979166666}, {"start": 898.42, "end": 898.68, "word": " إذا", "probability": 0.9208984375}, {"start": 898.68, "end": 899.02, "word": " كانت", "probability": 0.988037109375}, {"start": 899.02, "end": 899.12, "word": " ال", "probability": 0.97265625}, {"start": 899.12, "end": 899.42, "word": " function", "probability": 0.83154296875}, {"start": 899.42, "end": 899.78, "word": " F", "probability": 0.6279296875}, {"start": 899.78, "end": 900.62, "word": " بتاخد", "probability": 0.8732096354166666}, {"start": 900.62, "end": 901.24, "word": " العماصر", "probability": 0.75927734375}, {"start": 901.24, "end": 901.42, "word": " من", "probability": 0.9912109375}, {"start": 901.42, "end": 902.08, "word": " المجموعة", "probability": 0.92900390625}, {"start": 902.08, "end": 902.38, "word": " دي", "probability": 0.824462890625}, {"start": 902.38, "end": 902.74, "word": " و", "probability": 0.546875}, {"start": 902.74, "end": 903.36, "word": " بتوديها", "probability": 0.77001953125}, {"start": 903.36, "end": 904.08, "word": " للمجموعة", "probability": 0.9208170572916666}, {"start": 904.08, "end": 904.36, "word": " R", "probability": 0.955078125}, {"start": 904.36, "end": 904.54, "word": " اللي", "probability": 0.886962890625}, {"start": 904.54, "end": 904.74, "word": " هي", "probability": 0.94677734375}, {"start": 904.74, "end": 904.9, "word": " ال", "probability": 0.52880859375}, {"start": 904.9, "end": 905.16, "word": " range", "probability": 0.8603515625}, {"start": 905.16, "end": 905.3, "word": " و", "probability": 0.60693359375}, {"start": 905.3, "end": 905.72, "word": " المنموعة", "probability": 0.743701171875}, {"start": 905.72, "end": 905.84, "word": " دي", "probability": 0.931884765625}, {"start": 905.84, "end": 905.96, "word": " هي", "probability": 0.90966796875}, {"start": 905.96, "end": 906.08, "word": " ال", "probability": 0.94677734375}, {"start": 906.08, "end": 906.4, "word": " domain", "probability": 0.98681640625}, {"start": 906.4, "end": 906.82, "word": " هي", "probability": 0.376220703125}, {"start": 906.82, "end": 907.16, "word": " domain", "probability": 0.9560546875}, {"start": 907.16, "end": 907.3, "word": " ال", "probability": 0.787109375}, {"start": 907.3, "end": 907.44, "word": " F", "probability": 0.93994140625}, {"start": 907.44, "end": 907.66, "word": " وهي", "probability": 0.859130859375}, {"start": 907.66, "end": 907.92, "word": " range", "probability": 0.90673828125}, {"start": 907.92, "end": 908.08, "word": " ال", "probability": 0.91162109375}, {"start": 908.08, "end": 908.28, "word": " F", "probability": 0.97216796875}, {"start": 908.28, "end": 909.34, "word": " و", "probability": 0.59130859375}, {"start": 909.34, "end": 910.46, "word": " ال", "probability": 0.37353515625}, {"start": 910.46, "end": 910.76, "word": " function", "probability": 0.96826171875}, {"start": 910.76, "end": 911.12, "word": " كانت", "probability": 0.98779296875}, {"start": 911.12, "end": 911.28, "word": " one", "probability": 0.87841796875}, {"start": 911.28, "end": 911.4, "word": " to", "probability": 0.8515625}, {"start": 911.4, "end": 911.58, "word": " one", "probability": 0.9453125}, {"start": 911.58, "end": 911.82, "word": " إيش", "probability": 0.7784830729166666}, {"start": 911.82, "end": 912.0, "word": " يعني", "probability": 0.958251953125}, {"start": 912.0, "end": 912.2, "word": " one", "probability": 0.94580078125}, {"start": 912.2, "end": 912.32, "word": " to", "probability": 0.98095703125}, {"start": 912.32, "end": 912.58, "word": " one؟", "probability": 0.95361328125}], "temperature": 1.0}, {"id": 37, "seek": 94169, "start": 912.63, "end": 941.69, "text": "يعني كل عنصر بروح لصورة واحدة فقط كل عنصر لصورة واحدة كل عنصر لصورة واحدة بهذا الشكل ف ال F inverse في هذه الحالة بتبقى موجودة يعني ال F inverse إيش بتعمل؟ بتاخد العناصر من ال range من هنا و بتوديهم لمين؟ لل domain يعني بالعكس بتنشي بتاخد ال B و بترجعها لل A ال F بتاخد ال A بتوديها ل B ال F inverse بتاخد ال B بترجعها إيش؟ لل A و بترجعها لل A طيب", "tokens": [40228, 22653, 28242, 18871, 9381, 2288, 4724, 32887, 5016, 5296, 9381, 13063, 3660, 36764, 24401, 3660, 6156, 47432, 28242, 18871, 9381, 2288, 5296, 9381, 13063, 3660, 36764, 24401, 3660, 28242, 18871, 9381, 2288, 5296, 9381, 13063, 3660, 36764, 24401, 3660, 39627, 15730, 25124, 28820, 6156, 2423, 479, 17340, 8978, 29538, 21542, 6027, 3660, 39894, 3555, 4587, 7578, 3714, 29245, 23328, 3660, 37495, 22653, 2423, 479, 17340, 11933, 1829, 8592, 39894, 25957, 1211, 22807, 39894, 47283, 3215, 18863, 1863, 33546, 2288, 9154, 2423, 3613, 9154, 34105, 4032, 39894, 2407, 16254, 16095, 5296, 2304, 9957, 22807, 24976, 9274, 37495, 22653, 20666, 3615, 4117, 3794, 39894, 1863, 8592, 1829, 39894, 47283, 3215, 2423, 363, 4032, 39894, 47341, 3615, 11296, 24976, 316, 2423, 479, 39894, 47283, 3215, 2423, 316, 39894, 2407, 16254, 11296, 5296, 363, 2423, 479, 17340, 39894, 47283, 3215, 2423, 363, 39894, 47341, 3615, 11296, 11933, 1829, 8592, 22807, 24976, 316, 4032, 39894, 47341, 3615, 11296, 24976, 316, 23032, 1829, 3555], "avg_logprob": -0.16025391072034836, "compression_ratio": 2.33739837398374, "no_speech_prob": 2.3186206817626953e-05, "words": [{"start": 912.63, "end": 912.99, "word": "يعني", "probability": 0.79248046875}, {"start": 912.99, "end": 913.23, "word": " كل", "probability": 0.8662109375}, {"start": 913.23, "end": 913.63, "word": " عنصر", "probability": 0.9153645833333334}, {"start": 913.63, "end": 913.93, "word": " بروح", "probability": 0.7923177083333334}, {"start": 913.93, "end": 914.39, "word": " لصورة", "probability": 0.9525146484375}, {"start": 914.39, "end": 914.79, "word": " واحدة", "probability": 0.9874674479166666}, {"start": 914.79, "end": 915.13, "word": " فقط", "probability": 0.9326171875}, {"start": 915.13, "end": 915.55, "word": " كل", "probability": 0.46826171875}, {"start": 915.55, "end": 915.97, "word": " عنصر", "probability": 0.978515625}, {"start": 915.97, "end": 916.41, "word": " لصورة", "probability": 0.971923828125}, {"start": 916.41, "end": 916.71, "word": " واحدة", "probability": 0.9905598958333334}, {"start": 916.71, "end": 916.87, "word": " كل", "probability": 0.390625}, {"start": 916.87, "end": 917.17, "word": " عنصر", "probability": 0.9899088541666666}, {"start": 917.17, "end": 917.57, "word": " لصورة", "probability": 0.9864501953125}, {"start": 917.57, "end": 918.19, "word": " واحدة", "probability": 0.9944661458333334}, {"start": 918.19, "end": 918.47, "word": " بهذا", "probability": 0.7470703125}, {"start": 918.47, "end": 918.87, "word": " الشكل", "probability": 0.98583984375}, {"start": 918.87, "end": 920.49, "word": " ف", "probability": 0.765625}, {"start": 920.49, "end": 921.15, "word": " ال", "probability": 0.40234375}, {"start": 921.15, "end": 921.31, "word": " F", "probability": 0.5078125}, {"start": 921.31, "end": 921.63, "word": " inverse", "probability": 0.7568359375}, {"start": 921.63, "end": 921.75, "word": " في", "probability": 0.85302734375}, {"start": 921.75, "end": 921.89, "word": " هذه", "probability": 0.9111328125}, {"start": 921.89, "end": 922.15, "word": " الحالة", "probability": 0.9892578125}, {"start": 922.15, "end": 922.47, "word": " بتبقى", "probability": 0.8802490234375}, {"start": 922.47, "end": 922.91, "word": " موجودة", "probability": 0.988525390625}, {"start": 922.91, "end": 923.15, "word": " يعني", "probability": 0.906494140625}, {"start": 923.15, "end": 923.43, "word": " ال", "probability": 0.89208984375}, {"start": 923.43, "end": 923.59, "word": " F", "probability": 0.90478515625}, {"start": 923.59, "end": 923.89, "word": " inverse", "probability": 0.875}, {"start": 923.89, "end": 924.05, "word": " إيش", "probability": 0.7503255208333334}, {"start": 924.05, "end": 924.73, "word": " بتعمل؟", "probability": 0.81805419921875}, {"start": 924.73, "end": 925.33, "word": " بتاخد", "probability": 0.9557291666666666}, {"start": 925.33, "end": 925.89, "word": " العناصر", "probability": 0.9146728515625}, {"start": 925.89, "end": 926.09, "word": " من", "probability": 0.99072265625}, {"start": 926.09, "end": 926.23, "word": " ال", "probability": 0.9482421875}, {"start": 926.23, "end": 926.65, "word": " range", "probability": 0.8955078125}, {"start": 926.65, "end": 926.89, "word": " من", "probability": 0.87451171875}, {"start": 926.89, "end": 927.15, "word": " هنا", "probability": 0.99462890625}, {"start": 927.15, "end": 927.53, "word": " و", "probability": 0.44091796875}, {"start": 927.53, "end": 928.15, "word": " بتوديهم", "probability": 0.879150390625}, {"start": 928.15, "end": 928.63, "word": " لمين؟", "probability": 0.64593505859375}, {"start": 928.63, "end": 928.75, "word": " لل", "probability": 0.82373046875}, {"start": 928.75, "end": 929.13, "word": " domain", "probability": 0.9892578125}, {"start": 929.13, "end": 929.77, "word": " يعني", "probability": 0.9189453125}, {"start": 929.77, "end": 930.67, "word": " بالعكس", "probability": 0.9910888671875}, {"start": 930.67, "end": 931.15, "word": " بتنشي", "probability": 0.9244384765625}, {"start": 931.15, "end": 931.63, "word": " بتاخد", "probability": 0.8273111979166666}, {"start": 931.63, "end": 931.79, "word": " ال", "probability": 0.93701171875}, {"start": 931.79, "end": 932.01, "word": " B", "probability": 0.6875}, {"start": 932.01, "end": 932.25, "word": " و", "probability": 0.78759765625}, {"start": 932.25, "end": 932.83, "word": " بترجعها", "probability": 0.9189453125}, {"start": 932.83, "end": 933.03, "word": " لل", "probability": 0.449462890625}, {"start": 933.03, "end": 933.19, "word": " A", "probability": 0.90380859375}, {"start": 933.19, "end": 933.63, "word": " ال", "probability": 0.6279296875}, {"start": 933.63, "end": 933.91, "word": " F", "probability": 0.97802734375}, {"start": 933.91, "end": 934.63, "word": " بتاخد", "probability": 0.9461263020833334}, {"start": 934.63, "end": 934.81, "word": " ال", "probability": 0.974609375}, {"start": 934.81, "end": 935.03, "word": " A", "probability": 0.98291015625}, {"start": 935.03, "end": 935.75, "word": " بتوديها", "probability": 0.80548095703125}, {"start": 935.75, "end": 935.91, "word": " ل", "probability": 0.833984375}, {"start": 935.91, "end": 936.07, "word": " B", "probability": 0.7919921875}, {"start": 936.07, "end": 936.29, "word": " ال", "probability": 0.80615234375}, {"start": 936.29, "end": 936.47, "word": " F", "probability": 0.94287109375}, {"start": 936.47, "end": 936.85, "word": " inverse", "probability": 0.87060546875}, {"start": 936.85, "end": 937.35, "word": " بتاخد", "probability": 0.9791666666666666}, {"start": 937.35, "end": 937.49, "word": " ال", "probability": 0.92236328125}, {"start": 937.49, "end": 937.69, "word": " B", "probability": 0.962890625}, {"start": 937.69, "end": 938.67, "word": " بترجعها", "probability": 0.8980712890625}, {"start": 938.67, "end": 939.07, "word": " إيش؟", "probability": 0.69305419921875}, {"start": 939.07, "end": 939.19, "word": " لل", "probability": 0.89013671875}, {"start": 939.19, "end": 939.41, "word": " A", "probability": 0.95361328125}, {"start": 939.41, "end": 939.83, "word": " و", "probability": 0.469482421875}, {"start": 939.83, "end": 940.43, "word": " بترجعها", "probability": 0.9710693359375}, {"start": 940.43, "end": 940.61, "word": " لل", "probability": 0.65869140625}, {"start": 940.61, "end": 940.79, "word": " A", "probability": 0.9013671875}, {"start": 940.79, "end": 941.69, "word": " طيب", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 38, "seek": 95645, "start": 942.25, "end": 956.45, "text": "ما هي ال F inverse؟ ممكن تاخد ال P و ترجعها لل A، ليش شرط ال F انها تكون one to one؟ تعالوا نشوف ليش، إذا كانت ال F مش one to one، إيش يعني مش one to one؟ يعني ممكن أنصريين يكونوا لهم صورة واحدة فقط", "tokens": [15042, 39896, 2423, 479, 17340, 22807, 3714, 43020, 6055, 47283, 3215, 2423, 430, 4032, 6055, 47341, 3615, 11296, 24976, 316, 12399, 32239, 8592, 13412, 2288, 9566, 2423, 479, 16472, 11296, 6055, 30544, 472, 281, 472, 22807, 37279, 6027, 14407, 8717, 8592, 38688, 32239, 8592, 12399, 11933, 15730, 25961, 2655, 2423, 479, 37893, 472, 281, 472, 12399, 11933, 1829, 8592, 37495, 22653, 37893, 472, 281, 472, 22807, 37495, 22653, 3714, 43020, 14739, 9381, 16572, 9957, 7251, 30544, 14407, 5296, 16095, 20328, 13063, 3660, 36764, 24401, 3660, 6156, 47432], "avg_logprob": -0.21235795674676244, "compression_ratio": 1.6526315789473685, "no_speech_prob": 3.993511199951172e-06, "words": [{"start": 942.25, "end": 942.69, "word": "ما", "probability": 0.43603515625}, {"start": 942.69, "end": 942.91, "word": " هي", "probability": 0.8427734375}, {"start": 942.91, "end": 943.07, "word": " ال", "probability": 0.69140625}, {"start": 943.07, "end": 943.21, "word": " F", "probability": 0.461669921875}, {"start": 943.21, "end": 943.67, "word": " inverse؟", "probability": 0.373779296875}, {"start": 943.67, "end": 943.85, "word": " ممكن", "probability": 0.891357421875}, {"start": 943.85, "end": 944.21, "word": " تاخد", "probability": 0.9298502604166666}, {"start": 944.21, "end": 944.31, "word": " ال", "probability": 0.8662109375}, {"start": 944.31, "end": 944.41, "word": " P", "probability": 0.43359375}, {"start": 944.41, "end": 944.55, "word": " و", "probability": 0.59814453125}, {"start": 944.55, "end": 944.99, "word": " ترجعها", "probability": 0.8905029296875}, {"start": 944.99, "end": 945.19, "word": " لل", "probability": 0.62255859375}, {"start": 945.19, "end": 945.53, "word": " A،", "probability": 0.5965576171875}, {"start": 945.53, "end": 945.79, "word": " ليش", "probability": 0.5849609375}, {"start": 945.79, "end": 946.23, "word": " شرط", "probability": 0.9871419270833334}, {"start": 946.23, "end": 946.43, "word": " ال", "probability": 0.90380859375}, {"start": 946.43, "end": 946.63, "word": " F", "probability": 0.94287109375}, {"start": 946.63, "end": 946.95, "word": " انها", "probability": 0.6640625}, {"start": 946.95, "end": 947.39, "word": " تكون", "probability": 0.9794921875}, {"start": 947.39, "end": 947.91, "word": " one", "probability": 0.8203125}, {"start": 947.91, "end": 948.11, "word": " to", "probability": 0.7626953125}, {"start": 948.11, "end": 948.65, "word": " one؟", "probability": 0.8193359375}, {"start": 948.65, "end": 949.03, "word": " تعالوا", "probability": 0.8142903645833334}, {"start": 949.03, "end": 949.27, "word": " نشوف", "probability": 0.9951171875}, {"start": 949.27, "end": 950.21, "word": " ليش،", "probability": 0.80615234375}, {"start": 950.21, "end": 950.45, "word": " إذا", "probability": 0.78955078125}, {"start": 950.45, "end": 950.77, "word": " كانت", "probability": 0.956787109375}, {"start": 950.77, "end": 950.89, "word": " ال", "probability": 0.9248046875}, {"start": 950.89, "end": 951.01, "word": " F", "probability": 0.9794921875}, {"start": 951.01, "end": 951.21, "word": " مش", "probability": 0.96923828125}, {"start": 951.21, "end": 951.43, "word": " one", "probability": 0.951171875}, {"start": 951.43, "end": 951.57, "word": " to", "probability": 0.974609375}, {"start": 951.57, "end": 951.99, "word": " one،", "probability": 0.94189453125}, {"start": 951.99, "end": 952.13, "word": " إيش", "probability": 0.7517903645833334}, {"start": 952.13, "end": 952.35, "word": " يعني", "probability": 0.95849609375}, {"start": 952.35, "end": 952.51, "word": " مش", "probability": 0.9716796875}, {"start": 952.51, "end": 952.67, "word": " one", "probability": 0.9580078125}, {"start": 952.67, "end": 952.77, "word": " to", "probability": 0.98095703125}, {"start": 952.77, "end": 952.89, "word": " one؟", "probability": 0.927978515625}, {"start": 952.89, "end": 953.11, "word": " يعني", "probability": 0.9013671875}, {"start": 953.11, "end": 953.55, "word": " ممكن", "probability": 0.983642578125}, {"start": 953.55, "end": 954.69, "word": " أنصريين", "probability": 0.6583251953125}, {"start": 954.69, "end": 955.25, "word": " يكونوا", "probability": 0.82177734375}, {"start": 955.25, "end": 955.43, "word": " لهم", "probability": 0.71630859375}, {"start": 955.43, "end": 955.75, "word": " صورة", "probability": 0.9933268229166666}, {"start": 955.75, "end": 956.15, "word": " واحدة", "probability": 0.9938151041666666}, {"start": 956.15, "end": 956.45, "word": " فقط", "probability": 0.992919921875}], "temperature": 1.0}, {"id": 39, "seek": 98077, "start": 956.79, "end": 980.77, "text": "يعني A1 مثلا و هذه A2 كلهم تكون صورتهم B فإذا كانت الصورة B لأن F inverse بدها تاخد الـ B لوين ترجعها؟ بدها ترجعها لأنصرين هذه و هذه طب بنفع يعني F inverse في هذه الحالة هل بتكون function إذا كانت أخدت الأنصر و رجعته إلى صورتين؟ بتبطل ال function، بتصير فقط هي عبارة عن relation", "tokens": [40228, 22653, 316, 16, 50113, 15040, 4032, 29538, 316, 17, 28242, 16095, 6055, 30544, 20328, 13063, 2655, 16095, 363, 6156, 28814, 15730, 25961, 2655, 31767, 13063, 3660, 363, 5296, 33456, 479, 17340, 47525, 11296, 6055, 47283, 3215, 2423, 39184, 363, 5296, 2407, 9957, 6055, 47341, 3615, 11296, 22807, 47525, 11296, 6055, 47341, 3615, 11296, 5296, 33456, 9381, 2288, 9957, 29538, 4032, 29538, 23032, 3555, 44945, 5172, 3615, 37495, 22653, 479, 17340, 8978, 29538, 21542, 6027, 3660, 8032, 1211, 39894, 30544, 2445, 11933, 15730, 25961, 2655, 5551, 9778, 3215, 2655, 16247, 1863, 9381, 2288, 4032, 12602, 7435, 34268, 3224, 30731, 20328, 13063, 2655, 9957, 22807, 39894, 3555, 9566, 1211, 2423, 2445, 12399, 39894, 9381, 13546, 6156, 47432, 39896, 6225, 3555, 9640, 3660, 18871, 9721], "avg_logprob": -0.24861392547045985, "compression_ratio": 1.776470588235294, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 956.79, "end": 957.27, "word": "يعني", "probability": 0.744873046875}, {"start": 957.27, "end": 958.15, "word": " A1", "probability": 0.59375}, {"start": 958.15, "end": 958.55, "word": " مثلا", "probability": 0.838623046875}, {"start": 958.55, "end": 958.87, "word": " و", "probability": 0.223876953125}, {"start": 958.87, "end": 959.13, "word": " هذه", "probability": 0.317138671875}, {"start": 959.13, "end": 959.59, "word": " A2", "probability": 0.843505859375}, {"start": 959.59, "end": 960.51, "word": " كلهم", "probability": 0.63623046875}, {"start": 960.51, "end": 960.83, "word": " تكون", "probability": 0.736328125}, {"start": 960.83, "end": 961.61, "word": " صورتهم", "probability": 0.966796875}, {"start": 961.61, "end": 961.83, "word": " B", "probability": 0.457275390625}, {"start": 961.83, "end": 962.49, "word": " فإذا", "probability": 0.92333984375}, {"start": 962.49, "end": 962.81, "word": " كانت", "probability": 0.975830078125}, {"start": 962.81, "end": 963.19, "word": " الصورة", "probability": 0.9777018229166666}, {"start": 963.19, "end": 963.35, "word": " B", "probability": 0.73974609375}, {"start": 963.35, "end": 963.65, "word": " لأن", "probability": 0.834228515625}, {"start": 963.65, "end": 963.83, "word": " F", "probability": 0.355224609375}, {"start": 963.83, "end": 964.19, "word": " inverse", "probability": 0.732421875}, {"start": 964.19, "end": 964.47, "word": " بدها", "probability": 0.67431640625}, {"start": 964.47, "end": 964.89, "word": " تاخد", "probability": 0.9060872395833334}, {"start": 964.89, "end": 965.05, "word": " الـ", "probability": 0.6744384765625}, {"start": 965.05, "end": 965.13, "word": " B", "probability": 0.63232421875}, {"start": 965.13, "end": 965.45, "word": " لوين", "probability": 0.77685546875}, {"start": 965.45, "end": 966.57, "word": " ترجعها؟", "probability": 0.8298828125}, {"start": 966.57, "end": 966.79, "word": " بدها", "probability": 0.8564453125}, {"start": 966.79, "end": 967.41, "word": " ترجعها", "probability": 0.975830078125}, {"start": 967.41, "end": 968.35, "word": " لأنصرين", "probability": 0.7275390625}, {"start": 968.35, "end": 968.57, "word": " هذه", "probability": 0.6923828125}, {"start": 968.57, "end": 968.69, "word": " و", "probability": 0.90283203125}, {"start": 968.69, "end": 969.03, "word": " هذه", "probability": 0.81396484375}, {"start": 969.03, "end": 969.59, "word": " طب", "probability": 0.760009765625}, {"start": 969.59, "end": 970.13, "word": " بنفع", "probability": 0.9051106770833334}, {"start": 970.13, "end": 971.13, "word": " يعني", "probability": 0.76123046875}, {"start": 971.13, "end": 971.35, "word": " F", "probability": 0.68798828125}, {"start": 971.35, "end": 971.71, "word": " inverse", "probability": 0.90966796875}, {"start": 971.71, "end": 971.85, "word": " في", "probability": 0.93505859375}, {"start": 971.85, "end": 972.01, "word": " هذه", "probability": 0.92236328125}, {"start": 972.01, "end": 972.65, "word": " الحالة", "probability": 0.99365234375}, {"start": 972.65, "end": 972.97, "word": " هل", "probability": 0.85205078125}, {"start": 972.97, "end": 973.31, "word": " بتكون", "probability": 0.9306640625}, {"start": 973.31, "end": 973.71, "word": " function", "probability": 0.92578125}, {"start": 973.71, "end": 974.03, "word": " إذا", "probability": 0.95703125}, {"start": 974.03, "end": 974.37, "word": " كانت", "probability": 0.876953125}, {"start": 974.37, "end": 974.67, "word": " أخدت", "probability": 0.85296630859375}, {"start": 974.67, "end": 975.35, "word": " الأنصر", "probability": 0.844970703125}, {"start": 975.35, "end": 975.53, "word": " و", "probability": 0.98681640625}, {"start": 975.53, "end": 976.05, "word": " رجعته", "probability": 0.9154052734375}, {"start": 976.05, "end": 976.27, "word": " إلى", "probability": 0.8662109375}, {"start": 976.27, "end": 976.89, "word": " صورتين؟", "probability": 0.858984375}, {"start": 976.89, "end": 977.33, "word": " بتبطل", "probability": 0.8001708984375}, {"start": 977.33, "end": 977.45, "word": " ال", "probability": 0.64990234375}, {"start": 977.45, "end": 978.03, "word": " function،", "probability": 0.4090576171875}, {"start": 978.03, "end": 978.31, "word": " بتصير", "probability": 0.88427734375}, {"start": 978.31, "end": 978.67, "word": " فقط", "probability": 0.98779296875}, {"start": 978.67, "end": 978.97, "word": " هي", "probability": 0.12335205078125}, {"start": 978.97, "end": 979.99, "word": " عبارة", "probability": 0.994873046875}, {"start": 979.99, "end": 980.27, "word": " عن", "probability": 0.98974609375}, {"start": 980.27, "end": 980.77, "word": " relation", "probability": 0.95751953125}], "temperature": 1.0}, {"id": 40, "seek": 100898, "start": 981.16, "end": 1008.98, "text": "هي عبارة عن هلاقة وليست اقتران لذلك عشان تكون اقتران لازم هذه لما نرجحها نرجحها لعنصر واحد لما نرجحها لأكثر من عنصر وبالتالي لازم ال function f تكون one to one إذا كانت not one to one فتكون ال f inverse ممكن ما تكونش function فقط هلاقة عشان تكون f inverse function واحنا بدنا ياها function فبالتالي لازم ال function f تبعتي تكون one to one", "tokens": [3224, 1829, 6225, 3555, 9640, 3660, 18871, 8032, 15040, 28671, 4032, 20292, 14851, 1975, 38149, 2288, 7649, 5296, 8848, 23275, 6225, 8592, 7649, 6055, 30544, 1975, 38149, 2288, 7649, 5296, 31377, 2304, 29538, 5296, 15042, 8717, 47341, 5016, 11296, 8717, 47341, 5016, 11296, 5296, 3615, 1863, 9381, 2288, 36764, 24401, 5296, 15042, 8717, 47341, 5016, 11296, 5296, 10721, 4117, 49115, 9154, 6225, 1863, 9381, 2288, 46599, 6027, 2655, 6027, 1829, 5296, 31377, 2304, 2423, 2445, 283, 6055, 30544, 472, 281, 472, 11933, 15730, 25961, 2655, 406, 472, 281, 472, 6156, 2655, 30544, 2423, 283, 17340, 3714, 43020, 19446, 6055, 30544, 8592, 2445, 6156, 47432, 8032, 15040, 28671, 6225, 8592, 7649, 6055, 30544, 283, 17340, 2445, 4032, 39319, 8315, 47525, 8315, 7251, 995, 11296, 2445, 6156, 3555, 6027, 2655, 6027, 1829, 5296, 31377, 2304, 2423, 2445, 283, 6055, 3555, 3615, 31371, 6055, 30544, 472, 281, 472], "avg_logprob": -0.2566352803004931, "compression_ratio": 2.2857142857142856, "no_speech_prob": 7.62939453125e-06, "words": [{"start": 981.16, "end": 981.36, "word": "هي", "probability": 0.27423095703125}, {"start": 981.36, "end": 981.56, "word": " عبارة", "probability": 0.7772216796875}, {"start": 981.56, "end": 981.72, "word": " عن", "probability": 0.9921875}, {"start": 981.72, "end": 982.18, "word": " هلاقة", "probability": 0.86376953125}, {"start": 982.18, "end": 982.9, "word": " وليست", "probability": 0.8186848958333334}, {"start": 982.9, "end": 983.54, "word": " اقتران", "probability": 0.9508056640625}, {"start": 983.54, "end": 984.04, "word": " لذلك", "probability": 0.6171875}, {"start": 984.04, "end": 984.32, "word": " عشان", "probability": 0.7093098958333334}, {"start": 984.32, "end": 984.58, "word": " تكون", "probability": 0.968017578125}, {"start": 984.58, "end": 985.26, "word": " اقتران", "probability": 0.9705810546875}, {"start": 985.26, "end": 985.92, "word": " لازم", "probability": 0.9178059895833334}, {"start": 985.92, "end": 986.36, "word": " هذه", "probability": 0.6875}, {"start": 986.36, "end": 986.92, "word": " لما", "probability": 0.5511474609375}, {"start": 986.92, "end": 987.48, "word": " نرجحها", "probability": 0.875}, {"start": 987.48, "end": 988.02, "word": " نرجحها", "probability": 0.8782958984375}, {"start": 988.02, "end": 988.56, "word": " لعنصر", "probability": 0.92841796875}, {"start": 988.56, "end": 988.92, "word": " واحد", "probability": 0.988525390625}, {"start": 988.92, "end": 989.06, "word": " لما", "probability": 0.25445556640625}, {"start": 989.06, "end": 989.5, "word": " نرجحها", "probability": 0.9580078125}, {"start": 989.5, "end": 990.06, "word": " لأكثر", "probability": 0.8988037109375}, {"start": 990.06, "end": 990.26, "word": " من", "probability": 0.9580078125}, {"start": 990.26, "end": 990.7, "word": " عنصر", "probability": 0.9078369140625}, {"start": 990.7, "end": 991.64, "word": " وبالتالي", "probability": 0.8701171875}, {"start": 991.64, "end": 991.98, "word": " لازم", "probability": 0.9226888020833334}, {"start": 991.98, "end": 992.1, "word": " ال", "probability": 0.916015625}, {"start": 992.1, "end": 992.36, "word": " function", "probability": 0.4814453125}, {"start": 992.36, "end": 992.64, "word": " f", "probability": 0.480712890625}, {"start": 992.64, "end": 992.98, "word": " تكون", "probability": 0.907958984375}, {"start": 992.98, "end": 993.18, "word": " one", "probability": 0.7724609375}, {"start": 993.18, "end": 993.34, "word": " to", "probability": 0.8125}, {"start": 993.34, "end": 993.48, "word": " one", "probability": 0.9521484375}, {"start": 993.48, "end": 993.74, "word": " إذا", "probability": 0.7626953125}, {"start": 993.74, "end": 994.1, "word": " كانت", "probability": 0.8916015625}, {"start": 994.1, "end": 994.24, "word": " not", "probability": 0.407470703125}, {"start": 994.24, "end": 994.5, "word": " one", "probability": 0.94677734375}, {"start": 994.5, "end": 994.66, "word": " to", "probability": 0.97119140625}, {"start": 994.66, "end": 994.9, "word": " one", "probability": 0.95263671875}, {"start": 994.9, "end": 996.12, "word": " فتكون", "probability": 0.6298624674479166}, {"start": 996.12, "end": 996.28, "word": " ال", "probability": 0.833984375}, {"start": 996.28, "end": 996.44, "word": " f", "probability": 0.31494140625}, {"start": 996.44, "end": 996.88, "word": " inverse", "probability": 0.7421875}, {"start": 996.88, "end": 997.8, "word": " ممكن", "probability": 0.857177734375}, {"start": 997.8, "end": 997.98, "word": " ما", "probability": 0.327392578125}, {"start": 997.98, "end": 998.6, "word": " تكونش", "probability": 0.85595703125}, {"start": 998.6, "end": 1000.24, "word": " function", "probability": 0.83984375}, {"start": 1000.24, "end": 1001.3, "word": " فقط", "probability": 0.681884765625}, {"start": 1001.3, "end": 1001.82, "word": " هلاقة", "probability": 0.9371744791666666}, {"start": 1001.82, "end": 1002.5, "word": " عشان", "probability": 0.94091796875}, {"start": 1002.5, "end": 1002.8, "word": " تكون", "probability": 0.979248046875}, {"start": 1002.8, "end": 1003.02, "word": " f", "probability": 0.48193359375}, {"start": 1003.02, "end": 1003.44, "word": " inverse", "probability": 0.875}, {"start": 1003.44, "end": 1003.92, "word": " function", "probability": 0.85107421875}, {"start": 1003.92, "end": 1004.28, "word": " واحنا", "probability": 0.61474609375}, {"start": 1004.28, "end": 1004.58, "word": " بدنا", "probability": 0.899169921875}, {"start": 1004.58, "end": 1004.9, "word": " ياها", "probability": 0.60888671875}, {"start": 1004.9, "end": 1005.4, "word": " function", "probability": 0.96484375}, {"start": 1005.4, "end": 1006.44, "word": " فبالتالي", "probability": 0.930908203125}, {"start": 1006.44, "end": 1006.8, "word": " لازم", "probability": 0.9827473958333334}, {"start": 1006.8, "end": 1006.9, "word": " ال", "probability": 0.9609375}, {"start": 1006.9, "end": 1007.18, "word": " function", "probability": 0.9208984375}, {"start": 1007.18, "end": 1007.46, "word": " f", "probability": 0.8779296875}, {"start": 1007.46, "end": 1007.84, "word": " تبعتي", "probability": 0.8609619140625}, {"start": 1007.84, "end": 1008.2, "word": " تكون", "probability": 0.97021484375}, {"start": 1008.2, "end": 1008.48, "word": " one", "probability": 0.94677734375}, {"start": 1008.48, "end": 1008.78, "word": " to", "probability": 0.978515625}, {"start": 1008.78, "end": 1008.98, "word": " one", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 41, "seek": 103561, "start": 1009.44, "end": 1035.62, "text": "إذا ال F of A تساوي B إذا ال F inverse تاخد ال B و بترجعها ل A يعني F inverse of B يساوي A في هذه الحالة ال F inverse ال domain تبعها هو عبارة عن ال range R ال range تبع ال F و ال range تبع ال F inverse هو domain ال F يعني بيبدلوا بعض ال domain و ال range ال D و ال R لل F بيصير ال R هي ال domain لل F", "tokens": [28814, 15730, 2423, 479, 295, 316, 6055, 3794, 995, 45865, 363, 11933, 15730, 2423, 479, 17340, 6055, 47283, 3215, 2423, 363, 4032, 39894, 47341, 3615, 11296, 5296, 316, 37495, 22653, 479, 17340, 295, 363, 7251, 3794, 995, 45865, 316, 8978, 29538, 21542, 6027, 3660, 2423, 479, 17340, 2423, 9274, 6055, 3555, 3615, 11296, 31439, 6225, 3555, 9640, 3660, 18871, 2423, 3613, 497, 2423, 3613, 6055, 3555, 3615, 2423, 479, 4032, 2423, 3613, 6055, 3555, 3615, 2423, 479, 17340, 31439, 9274, 2423, 479, 37495, 22653, 4724, 1829, 44510, 1211, 14407, 45030, 11242, 2423, 9274, 4032, 2423, 3613, 2423, 413, 4032, 2423, 497, 24976, 479, 4724, 1829, 9381, 13546, 2423, 497, 39896, 2423, 9274, 24976, 479], "avg_logprob": -0.22038043607836183, "compression_ratio": 2.0825242718446604, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 1009.44, "end": 1009.82, "word": "إذا", "probability": 0.428314208984375}, {"start": 1009.82, "end": 1010.28, "word": " ال", "probability": 0.2098388671875}, {"start": 1010.28, "end": 1010.58, "word": " F", "probability": 0.356201171875}, {"start": 1010.58, "end": 1011.48, "word": " of", "probability": 0.3505859375}, {"start": 1011.48, "end": 1011.8, "word": " A", "probability": 0.91455078125}, {"start": 1011.8, "end": 1012.44, "word": " تساوي", "probability": 0.7128143310546875}, {"start": 1012.44, "end": 1012.7, "word": " B", "probability": 0.6259765625}, {"start": 1012.7, "end": 1013.42, "word": " إذا", "probability": 0.750244140625}, {"start": 1013.42, "end": 1013.64, "word": " ال", "probability": 0.8408203125}, {"start": 1013.64, "end": 1013.82, "word": " F", "probability": 0.888671875}, {"start": 1013.82, "end": 1014.36, "word": " inverse", "probability": 0.634765625}, {"start": 1014.36, "end": 1014.96, "word": " تاخد", "probability": 0.6930338541666666}, {"start": 1014.96, "end": 1015.1, "word": " ال", "probability": 0.77001953125}, {"start": 1015.1, "end": 1015.2, "word": " B", "probability": 0.81982421875}, {"start": 1015.2, "end": 1015.32, "word": " و", "probability": 0.51025390625}, {"start": 1015.32, "end": 1015.86, "word": " بترجعها", "probability": 0.8406982421875}, {"start": 1015.86, "end": 1015.96, "word": " ل", "probability": 0.79443359375}, {"start": 1015.96, "end": 1016.12, "word": " A", "probability": 0.79052734375}, {"start": 1016.12, "end": 1016.4, "word": " يعني", "probability": 0.744140625}, {"start": 1016.4, "end": 1016.64, "word": " F", "probability": 0.86572265625}, {"start": 1016.64, "end": 1017.02, "word": " inverse", "probability": 0.85791015625}, {"start": 1017.02, "end": 1017.22, "word": " of", "probability": 0.9150390625}, {"start": 1017.22, "end": 1017.4, "word": " B", "probability": 0.97705078125}, {"start": 1017.4, "end": 1017.94, "word": " يساوي", "probability": 0.757598876953125}, {"start": 1017.94, "end": 1018.44, "word": " A", "probability": 0.97607421875}, {"start": 1018.44, "end": 1019.1, "word": " في", "probability": 0.7626953125}, {"start": 1019.1, "end": 1019.3, "word": " هذه", "probability": 0.69677734375}, {"start": 1019.3, "end": 1019.7, "word": " الحالة", "probability": 0.9899088541666666}, {"start": 1019.7, "end": 1019.84, "word": " ال", "probability": 0.8076171875}, {"start": 1019.84, "end": 1019.98, "word": " F", "probability": 0.85498046875}, {"start": 1019.98, "end": 1020.5, "word": " inverse", "probability": 0.88330078125}, {"start": 1020.5, "end": 1020.72, "word": " ال", "probability": 0.5986328125}, {"start": 1020.72, "end": 1020.96, "word": " domain", "probability": 0.9736328125}, {"start": 1020.96, "end": 1021.56, "word": " تبعها", "probability": 0.9013671875}, {"start": 1021.56, "end": 1022.0, "word": " هو", "probability": 0.80419921875}, {"start": 1022.0, "end": 1022.4, "word": " عبارة", "probability": 0.9884033203125}, {"start": 1022.4, "end": 1022.6, "word": " عن", "probability": 0.99462890625}, {"start": 1022.6, "end": 1022.74, "word": " ال", "probability": 0.919921875}, {"start": 1022.74, "end": 1023.16, "word": " range", "probability": 0.89892578125}, {"start": 1023.16, "end": 1023.84, "word": " R", "probability": 0.8095703125}, {"start": 1023.84, "end": 1024.12, "word": " ال", "probability": 0.3193359375}, {"start": 1024.12, "end": 1024.44, "word": " range", "probability": 0.93310546875}, {"start": 1024.44, "end": 1024.74, "word": " تبع", "probability": 0.9703776041666666}, {"start": 1024.74, "end": 1024.9, "word": " ال", "probability": 0.89404296875}, {"start": 1024.9, "end": 1025.14, "word": " F", "probability": 0.94677734375}, {"start": 1025.14, "end": 1025.62, "word": " و", "probability": 0.6796875}, {"start": 1025.62, "end": 1025.94, "word": " ال", "probability": 0.564453125}, {"start": 1025.94, "end": 1026.22, "word": " range", "probability": 0.9384765625}, {"start": 1026.22, "end": 1026.54, "word": " تبع", "probability": 0.96630859375}, {"start": 1026.54, "end": 1026.66, "word": " ال", "probability": 0.95263671875}, {"start": 1026.66, "end": 1026.82, "word": " F", "probability": 0.96923828125}, {"start": 1026.82, "end": 1027.16, "word": " inverse", "probability": 0.92578125}, {"start": 1027.16, "end": 1027.4, "word": " هو", "probability": 0.95849609375}, {"start": 1027.4, "end": 1027.72, "word": " domain", "probability": 0.8212890625}, {"start": 1027.72, "end": 1027.92, "word": " ال", "probability": 0.66162109375}, {"start": 1027.92, "end": 1028.1, "word": " F", "probability": 0.9775390625}, {"start": 1028.1, "end": 1028.58, "word": " يعني", "probability": 0.9267578125}, {"start": 1028.58, "end": 1029.14, "word": " بيبدلوا", "probability": 0.90458984375}, {"start": 1029.14, "end": 1029.4, "word": " بعض", "probability": 0.98583984375}, {"start": 1029.4, "end": 1029.56, "word": " ال", "probability": 0.69775390625}, {"start": 1029.56, "end": 1029.86, "word": " domain", "probability": 0.99169921875}, {"start": 1029.86, "end": 1030.02, "word": " و", "probability": 0.76220703125}, {"start": 1030.02, "end": 1030.12, "word": " ال", "probability": 0.93359375}, {"start": 1030.12, "end": 1030.4, "word": " range", "probability": 0.935546875}, {"start": 1030.4, "end": 1031.06, "word": " ال", "probability": 0.84619140625}, {"start": 1031.06, "end": 1031.38, "word": " D", "probability": 0.95263671875}, {"start": 1031.38, "end": 1032.04, "word": " و", "probability": 0.77490234375}, {"start": 1032.04, "end": 1032.22, "word": " ال", "probability": 0.828125}, {"start": 1032.22, "end": 1032.62, "word": " R", "probability": 0.98583984375}, {"start": 1032.62, "end": 1032.88, "word": " لل", "probability": 0.67041015625}, {"start": 1032.88, "end": 1033.28, "word": " F", "probability": 0.951171875}, {"start": 1033.28, "end": 1033.98, "word": " بيصير", "probability": 0.7694091796875}, {"start": 1033.98, "end": 1034.14, "word": " ال", "probability": 0.955078125}, {"start": 1034.14, "end": 1034.4, "word": " R", "probability": 0.9814453125}, {"start": 1034.4, "end": 1034.66, "word": " هي", "probability": 0.91162109375}, {"start": 1034.66, "end": 1034.8, "word": " ال", "probability": 0.83740234375}, {"start": 1034.8, "end": 1035.04, "word": " domain", "probability": 0.994140625}, {"start": 1035.04, "end": 1035.32, "word": " لل", "probability": 0.87353515625}, {"start": 1035.32, "end": 1035.62, "word": " F", "probability": 0.98486328125}], "temperature": 1.0}, {"id": 42, "seek": 106410, "start": 1035.95, "end": 1064.11, "text": "F inverse و D هي ال range ل F inverse لو جينا نعمل composite بين ال F inverse و F of X فال F بتاخد ال X ل F of X فال F inverse بتاخد ال F of X و بترجح ل X يبقى ال composite بينهم A هو X يبقى بنرجح في النهاية A هش X نفس الاشي لو بدينا بال Y فال F inverse بتاخد ال Y زي هنا بتاخد ال Y", "tokens": [37, 17340, 4032, 413, 39896, 2423, 3613, 5296, 479, 17340, 45164, 10874, 1829, 8315, 8717, 25957, 1211, 25557, 49374, 2423, 479, 17340, 4032, 479, 295, 1783, 6156, 6027, 479, 39894, 47283, 3215, 2423, 1783, 5296, 479, 295, 1783, 6156, 6027, 479, 17340, 39894, 47283, 3215, 2423, 479, 295, 1783, 4032, 39894, 47341, 5016, 5296, 1783, 7251, 3555, 4587, 7578, 2423, 25557, 49374, 16095, 316, 31439, 1783, 7251, 3555, 4587, 7578, 44945, 47341, 5016, 8978, 28239, 11296, 10632, 316, 8032, 8592, 1783, 8717, 36178, 2423, 33599, 1829, 45164, 47525, 1829, 8315, 20666, 398, 6156, 6027, 479, 17340, 39894, 47283, 3215, 2423, 398, 30767, 1829, 34105, 39894, 47283, 3215, 2423, 398], "avg_logprob": -0.34971591423858295, "compression_ratio": 2.0454545454545454, "no_speech_prob": 1.0132789611816406e-05, "words": [{"start": 1035.95, "end": 1036.23, "word": "F", "probability": 0.08612060546875}, {"start": 1036.23, "end": 1036.45, "word": " inverse", "probability": 0.37451171875}, {"start": 1036.45, "end": 1036.73, "word": " و", "probability": 0.33935546875}, {"start": 1036.73, "end": 1036.97, "word": " D", "probability": 0.30078125}, {"start": 1036.97, "end": 1037.31, "word": " هي", "probability": 0.8740234375}, {"start": 1037.31, "end": 1037.53, "word": " ال", "probability": 0.360107421875}, {"start": 1037.53, "end": 1037.85, "word": " range", "probability": 0.4833984375}, {"start": 1037.85, "end": 1038.15, "word": " ل", "probability": 0.67578125}, {"start": 1038.15, "end": 1038.85, "word": " F", "probability": 0.406982421875}, {"start": 1038.85, "end": 1039.55, "word": " inverse", "probability": 0.78173828125}, {"start": 1039.55, "end": 1041.99, "word": " لو", "probability": 0.224609375}, {"start": 1041.99, "end": 1042.31, "word": " جينا", "probability": 0.6615397135416666}, {"start": 1042.31, "end": 1043.81, "word": " نعمل", "probability": 0.9130859375}, {"start": 1043.81, "end": 1044.43, "word": " composite", "probability": 0.6982421875}, {"start": 1044.43, "end": 1044.87, "word": " بين", "probability": 0.8466796875}, {"start": 1044.87, "end": 1045.05, "word": " ال", "probability": 0.385986328125}, {"start": 1045.05, "end": 1045.19, "word": " F", "probability": 0.87109375}, {"start": 1045.19, "end": 1045.79, "word": " inverse", "probability": 0.865234375}, {"start": 1045.79, "end": 1047.07, "word": " و", "probability": 0.307373046875}, {"start": 1047.07, "end": 1047.41, "word": " F", "probability": 0.7119140625}, {"start": 1047.41, "end": 1047.93, "word": " of", "probability": 0.52392578125}, {"start": 1047.93, "end": 1048.29, "word": " X", "probability": 0.884765625}, {"start": 1048.29, "end": 1049.31, "word": " فال", "probability": 0.5804443359375}, {"start": 1049.31, "end": 1049.57, "word": " F", "probability": 0.473388671875}, {"start": 1049.57, "end": 1050.15, "word": " بتاخد", "probability": 0.7518717447916666}, {"start": 1050.15, "end": 1050.27, "word": " ال", "probability": 0.53076171875}, {"start": 1050.27, "end": 1050.51, "word": " X", "probability": 0.9287109375}, {"start": 1050.51, "end": 1050.65, "word": " ل", "probability": 0.92578125}, {"start": 1050.65, "end": 1050.81, "word": " F", "probability": 0.841796875}, {"start": 1050.81, "end": 1050.99, "word": " of", "probability": 0.9443359375}, {"start": 1050.99, "end": 1051.35, "word": " X", "probability": 0.99609375}, {"start": 1051.35, "end": 1052.35, "word": " فال", "probability": 0.80615234375}, {"start": 1052.35, "end": 1052.57, "word": " F", "probability": 0.8388671875}, {"start": 1052.57, "end": 1053.01, "word": " inverse", "probability": 0.89453125}, {"start": 1053.01, "end": 1053.69, "word": " بتاخد", "probability": 0.9264322916666666}, {"start": 1053.69, "end": 1053.81, "word": " ال", "probability": 0.485107421875}, {"start": 1053.81, "end": 1053.99, "word": " F", "probability": 0.875}, {"start": 1053.99, "end": 1054.19, "word": " of", "probability": 0.9501953125}, {"start": 1054.19, "end": 1054.45, "word": " X", "probability": 0.99658203125}, {"start": 1054.45, "end": 1054.57, "word": " و", "probability": 0.6884765625}, {"start": 1054.57, "end": 1054.95, "word": " بترجح", "probability": 0.7923177083333334}, {"start": 1054.95, "end": 1055.15, "word": " ل", "probability": 0.5458984375}, {"start": 1055.15, "end": 1055.43, "word": " X", "probability": 0.962890625}, {"start": 1055.43, "end": 1055.63, "word": " يبقى", "probability": 0.880859375}, {"start": 1055.63, "end": 1055.75, "word": " ال", "probability": 0.9248046875}, {"start": 1055.75, "end": 1056.09, "word": " composite", "probability": 0.96728515625}, {"start": 1056.09, "end": 1056.47, "word": " بينهم", "probability": 0.782470703125}, {"start": 1056.47, "end": 1056.65, "word": " A", "probability": 0.54296875}, {"start": 1056.65, "end": 1056.83, "word": " هو", "probability": 0.1470947265625}, {"start": 1056.83, "end": 1057.13, "word": " X", "probability": 0.90087890625}, {"start": 1057.13, "end": 1057.35, "word": " يبقى", "probability": 0.916748046875}, {"start": 1057.35, "end": 1057.73, "word": " بنرجح", "probability": 0.662109375}, {"start": 1057.73, "end": 1057.85, "word": " في", "probability": 0.671875}, {"start": 1057.85, "end": 1058.21, "word": " النهاية", "probability": 0.8795572916666666}, {"start": 1058.21, "end": 1058.45, "word": " A", "probability": 0.8720703125}, {"start": 1058.45, "end": 1058.57, "word": " هش", "probability": 0.4298095703125}, {"start": 1058.57, "end": 1058.85, "word": " X", "probability": 0.97900390625}, {"start": 1058.85, "end": 1059.57, "word": " نفس", "probability": 0.978759765625}, {"start": 1059.57, "end": 1059.83, "word": " الاشي", "probability": 0.7106119791666666}, {"start": 1059.83, "end": 1059.97, "word": " لو", "probability": 0.9716796875}, {"start": 1059.97, "end": 1060.33, "word": " بدينا", "probability": 0.7581380208333334}, {"start": 1060.33, "end": 1060.53, "word": " بال", "probability": 0.916015625}, {"start": 1060.53, "end": 1060.81, "word": " Y", "probability": 0.771484375}, {"start": 1060.81, "end": 1061.23, "word": " فال", "probability": 0.756591796875}, {"start": 1061.23, "end": 1061.41, "word": " F", "probability": 0.85595703125}, {"start": 1061.41, "end": 1061.83, "word": " inverse", "probability": 0.88720703125}, {"start": 1061.83, "end": 1062.41, "word": " بتاخد", "probability": 0.9640299479166666}, {"start": 1062.41, "end": 1062.53, "word": " ال", "probability": 0.7197265625}, {"start": 1062.53, "end": 1062.83, "word": " Y", "probability": 0.98779296875}, {"start": 1062.83, "end": 1063.03, "word": " زي", "probability": 0.7412109375}, {"start": 1063.03, "end": 1063.19, "word": " هنا", "probability": 0.88037109375}, {"start": 1063.19, "end": 1063.57, "word": " بتاخد", "probability": 0.9049479166666666}, {"start": 1063.57, "end": 1063.73, "word": " ال", "probability": 0.8837890625}, {"start": 1063.73, "end": 1064.11, "word": " Y", "probability": 0.98828125}], "temperature": 1.0}, {"id": 43, "seek": 107643, "start": 1064.61, "end": 1076.43, "text": "و بتوديها لمين ل F inverse of Y ال F بتاخد هذا ال F inverse of Y و بترجح لمين لهذا الأنصار المسمى Y ال F بتاخد ال X", "tokens": [2407, 39894, 2407, 16254, 11296, 32767, 9957, 5296, 479, 17340, 295, 398, 2423, 479, 39894, 47283, 3215, 23758, 2423, 479, 17340, 295, 398, 4032, 39894, 47341, 5016, 32767, 9957, 46740, 15730, 16247, 1863, 9381, 9640, 9673, 38251, 7578, 398, 2423, 479, 39894, 47283, 3215, 2423, 1783], "avg_logprob": -0.39162234549826763, "compression_ratio": 1.5855855855855856, "no_speech_prob": 9.000301361083984e-06, "words": [{"start": 1064.61, "end": 1064.81, "word": "و", "probability": 0.185302734375}, {"start": 1064.81, "end": 1065.43, "word": " بتوديها", "probability": 0.64239501953125}, {"start": 1065.43, "end": 1065.93, "word": " لمين", "probability": 0.91162109375}, {"start": 1065.93, "end": 1066.27, "word": " ل", "probability": 0.453369140625}, {"start": 1066.27, "end": 1066.53, "word": " F", "probability": 0.2083740234375}, {"start": 1066.53, "end": 1066.91, "word": " inverse", "probability": 0.6650390625}, {"start": 1066.91, "end": 1067.17, "word": " of", "probability": 0.935546875}, {"start": 1067.17, "end": 1067.55, "word": " Y", "probability": 0.89208984375}, {"start": 1067.55, "end": 1068.17, "word": " ال", "probability": 0.2607421875}, {"start": 1068.17, "end": 1068.47, "word": " F", "probability": 0.73388671875}, {"start": 1068.47, "end": 1069.13, "word": " بتاخد", "probability": 0.92822265625}, {"start": 1069.13, "end": 1069.45, "word": " هذا", "probability": 0.298095703125}, {"start": 1069.45, "end": 1069.55, "word": " ال", "probability": 0.76611328125}, {"start": 1069.55, "end": 1069.75, "word": " F", "probability": 0.634765625}, {"start": 1069.75, "end": 1070.19, "word": " inverse", "probability": 0.6474609375}, {"start": 1070.19, "end": 1070.43, "word": " of", "probability": 0.89990234375}, {"start": 1070.43, "end": 1070.85, "word": " Y", "probability": 0.984375}, {"start": 1070.85, "end": 1071.03, "word": " و", "probability": 0.61474609375}, {"start": 1071.03, "end": 1071.51, "word": " بترجح", "probability": 0.7548828125}, {"start": 1071.51, "end": 1071.87, "word": " لمين", "probability": 0.789306640625}, {"start": 1071.87, "end": 1072.13, "word": " لهذا", "probability": 0.792724609375}, {"start": 1072.13, "end": 1072.51, "word": " الأنصار", "probability": 0.894775390625}, {"start": 1072.51, "end": 1073.03, "word": " المسمى", "probability": 0.6617838541666666}, {"start": 1073.03, "end": 1073.41, "word": " Y", "probability": 0.63916015625}, {"start": 1073.41, "end": 1074.87, "word": " ال", "probability": 0.5712890625}, {"start": 1074.87, "end": 1075.17, "word": " F", "probability": 0.90673828125}, {"start": 1075.17, "end": 1075.91, "word": " بتاخد", "probability": 0.9685872395833334}, {"start": 1075.91, "end": 1076.03, "word": " ال", "probability": 0.3876953125}, {"start": 1076.03, "end": 1076.43, "word": " X", "probability": 0.98046875}], "temperature": 1.0}, {"id": 44, "seek": 110625, "start": 1076.83, "end": 1106.25, "text": "و بتوديها ل F of X ال F inverse بتاخد ال F of X و بترجعها لهذا اللي هو مين هذا ايش اسمه اسمه X طبعا يبقى اي composite بين ال F inverse و ال F أو F composite F inverse بتطلع اياش نفس ال answer Y بترجع ل Y و ال X برجع ل X طبعا هنا X ال F بتاخد كل ال X الموجودة في domainها و ال Y هي موجودة كل ال Y الموجودة في ال domain تبع ال F inverse او ال range تبع ال F", "tokens": [2407, 39894, 2407, 16254, 11296, 5296, 479, 295, 1783, 2423, 479, 17340, 39894, 47283, 3215, 2423, 479, 295, 1783, 4032, 39894, 47341, 3615, 11296, 46740, 15730, 13672, 1829, 31439, 3714, 9957, 23758, 1975, 1829, 8592, 24525, 2304, 3224, 24525, 2304, 3224, 1783, 23032, 3555, 3615, 995, 7251, 3555, 4587, 7578, 1975, 1829, 25557, 49374, 2423, 479, 17340, 4032, 2423, 479, 34051, 479, 25557, 479, 17340, 39894, 9566, 1211, 3615, 1975, 1829, 33599, 8717, 36178, 2423, 1867, 398, 39894, 47341, 3615, 5296, 398, 4032, 2423, 1783, 4724, 47341, 3615, 5296, 1783, 23032, 3555, 3615, 995, 34105, 1783, 2423, 479, 39894, 47283, 3215, 28242, 2423, 1783, 9673, 29245, 23328, 3660, 8978, 9274, 11296, 4032, 2423, 398, 39896, 3714, 29245, 23328, 3660, 28242, 2423, 398, 9673, 29245, 23328, 3660, 8978, 2423, 9274, 6055, 3555, 3615, 2423, 479, 17340, 1975, 2407, 2423, 3613, 6055, 3555, 3615, 2423, 479], "avg_logprob": -0.24310345320866025, "compression_ratio": 2.108, "no_speech_prob": 1.913309097290039e-05, "words": [{"start": 1076.83, "end": 1077.01, "word": "و", "probability": 0.1959228515625}, {"start": 1077.01, "end": 1077.69, "word": " بتوديها", "probability": 0.69732666015625}, {"start": 1077.69, "end": 1077.87, "word": " ل", "probability": 0.8740234375}, {"start": 1077.87, "end": 1078.07, "word": " F", "probability": 0.290771484375}, {"start": 1078.07, "end": 1078.29, "word": " of", "probability": 0.469482421875}, {"start": 1078.29, "end": 1078.67, "word": " X", "probability": 0.94873046875}, {"start": 1078.67, "end": 1079.25, "word": " ال", "probability": 0.3916015625}, {"start": 1079.25, "end": 1079.45, "word": " F", "probability": 0.59765625}, {"start": 1079.45, "end": 1079.83, "word": " inverse", "probability": 0.720703125}, {"start": 1079.83, "end": 1080.55, "word": " بتاخد", "probability": 0.9226888020833334}, {"start": 1080.55, "end": 1080.67, "word": " ال", "probability": 0.51220703125}, {"start": 1080.67, "end": 1080.83, "word": " F", "probability": 0.923828125}, {"start": 1080.83, "end": 1081.07, "word": " of", "probability": 0.92724609375}, {"start": 1081.07, "end": 1081.35, "word": " X", "probability": 0.9951171875}, {"start": 1081.35, "end": 1081.45, "word": " و", "probability": 0.61279296875}, {"start": 1081.45, "end": 1082.05, "word": " بترجعها", "probability": 0.94384765625}, {"start": 1082.05, "end": 1082.39, "word": " لهذا", "probability": 0.851318359375}, {"start": 1082.39, "end": 1082.53, "word": " اللي", "probability": 0.6513671875}, {"start": 1082.53, "end": 1082.69, "word": " هو", "probability": 0.87158203125}, {"start": 1082.69, "end": 1082.87, "word": " مين", "probability": 0.812744140625}, {"start": 1082.87, "end": 1083.03, "word": " هذا", "probability": 0.7822265625}, {"start": 1083.03, "end": 1083.27, "word": " ايش", "probability": 0.4875895182291667}, {"start": 1083.27, "end": 1083.59, "word": " اسمه", "probability": 0.94921875}, {"start": 1083.59, "end": 1083.91, "word": " اسمه", "probability": 0.900390625}, {"start": 1083.91, "end": 1084.23, "word": " X", "probability": 0.82080078125}, {"start": 1084.23, "end": 1085.07, "word": " طبعا", "probability": 0.6864013671875}, {"start": 1085.07, "end": 1085.55, "word": " يبقى", "probability": 0.86181640625}, {"start": 1085.55, "end": 1085.75, "word": " اي", "probability": 0.7470703125}, {"start": 1085.75, "end": 1086.29, "word": " composite", "probability": 0.623046875}, {"start": 1086.29, "end": 1086.69, "word": " بين", "probability": 0.98193359375}, {"start": 1086.69, "end": 1086.89, "word": " ال", "probability": 0.69677734375}, {"start": 1086.89, "end": 1087.09, "word": " F", "probability": 0.94677734375}, {"start": 1087.09, "end": 1087.55, "word": " inverse", "probability": 0.85498046875}, {"start": 1087.55, "end": 1087.71, "word": " و", "probability": 0.60400390625}, {"start": 1087.71, "end": 1087.81, "word": " ال", "probability": 0.407958984375}, {"start": 1087.81, "end": 1088.01, "word": " F", "probability": 0.44580078125}, {"start": 1088.01, "end": 1088.51, "word": " أو", "probability": 0.6689453125}, {"start": 1088.51, "end": 1088.85, "word": " F", "probability": 0.80126953125}, {"start": 1088.85, "end": 1089.39, "word": " composite", "probability": 0.865234375}, {"start": 1089.39, "end": 1089.67, "word": " F", "probability": 0.86083984375}, {"start": 1089.67, "end": 1090.21, "word": " inverse", "probability": 0.8681640625}, {"start": 1090.21, "end": 1090.91, "word": " بتطلع", "probability": 0.8525390625}, {"start": 1090.91, "end": 1091.17, "word": " اياش", "probability": 0.5364583333333334}, {"start": 1091.17, "end": 1091.45, "word": " نفس", "probability": 0.996826171875}, {"start": 1091.45, "end": 1091.57, "word": " ال", "probability": 0.85498046875}, {"start": 1091.57, "end": 1091.79, "word": " answer", "probability": 0.88427734375}, {"start": 1091.79, "end": 1092.13, "word": " Y", "probability": 0.63037109375}, {"start": 1092.13, "end": 1092.57, "word": " بترجع", "probability": 0.8816731770833334}, {"start": 1092.57, "end": 1092.67, "word": " ل", "probability": 0.62890625}, {"start": 1092.67, "end": 1092.89, "word": " Y", "probability": 0.91748046875}, {"start": 1092.89, "end": 1093.03, "word": " و", "probability": 0.73876953125}, {"start": 1093.03, "end": 1093.13, "word": " ال", "probability": 0.7734375}, {"start": 1093.13, "end": 1093.31, "word": " X", "probability": 0.9873046875}, {"start": 1093.31, "end": 1094.21, "word": " برجع", "probability": 0.7434895833333334}, {"start": 1094.21, "end": 1094.43, "word": " ل", "probability": 0.90478515625}, {"start": 1094.43, "end": 1095.13, "word": " X", "probability": 0.91259765625}, {"start": 1095.13, "end": 1095.69, "word": " طبعا", "probability": 0.9827880859375}, {"start": 1095.69, "end": 1095.91, "word": " هنا", "probability": 0.9228515625}, {"start": 1095.91, "end": 1096.21, "word": " X", "probability": 0.87060546875}, {"start": 1096.21, "end": 1096.37, "word": " ال", "probability": 0.7158203125}, {"start": 1096.37, "end": 1096.59, "word": " F", "probability": 0.97900390625}, {"start": 1096.59, "end": 1097.13, "word": " بتاخد", "probability": 0.9820963541666666}, {"start": 1097.13, "end": 1097.33, "word": " كل", "probability": 0.96533203125}, {"start": 1097.33, "end": 1097.45, "word": " ال", "probability": 0.90673828125}, {"start": 1097.45, "end": 1097.61, "word": " X", "probability": 0.98876953125}, {"start": 1097.61, "end": 1098.05, "word": " الموجودة", "probability": 0.9571533203125}, {"start": 1098.05, "end": 1098.17, "word": " في", "probability": 0.94287109375}, {"start": 1098.17, "end": 1098.69, "word": " domainها", "probability": 0.5782470703125}, {"start": 1098.69, "end": 1099.17, "word": " و", "probability": 0.73583984375}, {"start": 1099.17, "end": 1099.33, "word": " ال", "probability": 0.7685546875}, {"start": 1099.33, "end": 1099.63, "word": " Y", "probability": 0.9794921875}, {"start": 1099.63, "end": 1099.85, "word": " هي", "probability": 0.7421875}, {"start": 1099.85, "end": 1100.57, "word": " موجودة", "probability": 0.935791015625}, {"start": 1100.57, "end": 1101.21, "word": " كل", "probability": 0.5595703125}, {"start": 1101.21, "end": 1101.39, "word": " ال", "probability": 0.978515625}, {"start": 1101.39, "end": 1101.55, "word": " Y", "probability": 0.96044921875}, {"start": 1101.55, "end": 1102.07, "word": " الموجودة", "probability": 0.9666748046875}, {"start": 1102.07, "end": 1102.33, "word": " في", "probability": 0.984375}, {"start": 1102.33, "end": 1103.27, "word": " ال", "probability": 0.88720703125}, {"start": 1103.27, "end": 1103.53, "word": " domain", "probability": 0.98876953125}, {"start": 1103.53, "end": 1103.81, "word": " تبع", "probability": 0.88232421875}, {"start": 1103.81, "end": 1103.95, "word": " ال", "probability": 0.90283203125}, {"start": 1103.95, "end": 1104.11, "word": " F", "probability": 0.97314453125}, {"start": 1104.11, "end": 1104.51, "word": " inverse", "probability": 0.8720703125}, {"start": 1104.51, "end": 1104.77, "word": " او", "probability": 0.7225341796875}, {"start": 1104.77, "end": 1104.89, "word": " ال", "probability": 0.9248046875}, {"start": 1104.89, "end": 1105.19, "word": " range", "probability": 0.9384765625}, {"start": 1105.19, "end": 1105.77, "word": " تبع", "probability": 0.9755859375}, {"start": 1105.77, "end": 1106.07, "word": " ال", "probability": 0.8916015625}, {"start": 1106.07, "end": 1106.25, "word": " F", "probability": 0.708984375}], "temperature": 1.0}, {"id": 45, "seek": 113508, "start": 1109.92, "end": 1135.08, "text": "هذه الملاحظة قلناها و بعدين قلنا اللى هى ال increasing و ال decreasing طبعا هنا ال increasing و ال decreasing functions has inverse اى function increasing يبقى فيه انها inverse اى function decreasing فهي انها inverse لأن هم اصلا one to one وبهك بنكون خلصنا الجزء الاول من section 7-1 بنكمله في المدرس القادم ان شاء الله", "tokens": [3224, 24192, 9673, 15040, 5016, 19913, 3660, 12174, 1211, 8315, 11296, 4032, 39182, 9957, 12174, 1211, 8315, 13672, 7578, 8032, 7578, 2423, 5662, 4032, 2423, 23223, 23032, 3555, 3615, 995, 34105, 2423, 5662, 4032, 2423, 23223, 6828, 575, 17340, 1975, 7578, 2445, 5662, 7251, 3555, 4587, 7578, 8978, 3224, 16472, 11296, 17340, 1975, 7578, 2445, 23223, 6156, 3224, 1829, 16472, 11296, 17340, 5296, 33456, 8032, 2304, 1975, 9381, 15040, 472, 281, 472, 46599, 3224, 4117, 44945, 30544, 16490, 1211, 9381, 8315, 25724, 11622, 38207, 42963, 12610, 9154, 3541, 1614, 12, 16, 44945, 24793, 43761, 8978, 9673, 3215, 2288, 3794, 25062, 18513, 2304, 16472, 13412, 16606, 21984], "avg_logprob": -0.25890771863616513, "compression_ratio": 1.8801652892561984, "no_speech_prob": 2.5987625122070312e-05, "words": [{"start": 1109.92, "end": 1110.38, "word": "هذه", "probability": 0.824462890625}, {"start": 1110.38, "end": 1111.02, "word": " الملاحظة", "probability": 0.960546875}, {"start": 1111.02, "end": 1111.72, "word": " قلناها", "probability": 0.7701416015625}, {"start": 1111.72, "end": 1112.48, "word": " و", "probability": 0.3466796875}, {"start": 1112.48, "end": 1113.0, "word": " بعدين", "probability": 0.57861328125}, {"start": 1113.0, "end": 1113.46, "word": " قلنا", "probability": 0.9498697916666666}, {"start": 1113.46, "end": 1113.88, "word": " اللى", "probability": 0.398681640625}, {"start": 1113.88, "end": 1114.14, "word": " هى", "probability": 0.807373046875}, {"start": 1114.14, "end": 1114.38, "word": " ال", "probability": 0.72265625}, {"start": 1114.38, "end": 1115.22, "word": " increasing", "probability": 0.5458984375}, {"start": 1115.22, "end": 1115.44, "word": " و", "probability": 0.9404296875}, {"start": 1115.44, "end": 1115.48, "word": " ال", "probability": 0.3798828125}, {"start": 1115.48, "end": 1115.86, "word": " decreasing", "probability": 0.8740234375}, {"start": 1115.86, "end": 1116.78, "word": " طبعا", "probability": 0.943359375}, {"start": 1116.78, "end": 1117.02, "word": " هنا", "probability": 0.650390625}, {"start": 1117.02, "end": 1117.66, "word": " ال", "probability": 0.95947265625}, {"start": 1117.66, "end": 1117.94, "word": " increasing", "probability": 0.8232421875}, {"start": 1117.94, "end": 1118.16, "word": " و", "probability": 0.96728515625}, {"start": 1118.16, "end": 1118.2, "word": " ال", "probability": 0.896484375}, {"start": 1118.2, "end": 1118.46, "word": " decreasing", "probability": 0.982421875}, {"start": 1118.46, "end": 1119.18, "word": " functions", "probability": 0.5361328125}, {"start": 1119.18, "end": 1120.2, "word": " has", "probability": 0.33349609375}, {"start": 1120.2, "end": 1121.04, "word": " inverse", "probability": 0.6064453125}, {"start": 1121.04, "end": 1121.64, "word": " اى", "probability": 0.4609375}, {"start": 1121.64, "end": 1121.96, "word": " function", "probability": 0.95703125}, {"start": 1121.96, "end": 1122.58, "word": " increasing", "probability": 0.98095703125}, {"start": 1122.58, "end": 1122.92, "word": " يبقى", "probability": 0.9468994140625}, {"start": 1122.92, "end": 1123.1, "word": " فيه", "probability": 0.67431640625}, {"start": 1123.1, "end": 1123.26, "word": " انها", "probability": 0.769775390625}, {"start": 1123.26, "end": 1123.68, "word": " inverse", "probability": 0.9140625}, {"start": 1123.68, "end": 1124.34, "word": " اى", "probability": 0.853271484375}, {"start": 1124.34, "end": 1124.68, "word": " function", "probability": 0.96630859375}, {"start": 1124.68, "end": 1125.34, "word": " decreasing", "probability": 0.95556640625}, {"start": 1125.34, "end": 1125.86, "word": " فهي", "probability": 0.9083658854166666}, {"start": 1125.86, "end": 1126.08, "word": " انها", "probability": 0.62091064453125}, {"start": 1126.08, "end": 1126.44, "word": " inverse", "probability": 0.95263671875}, {"start": 1126.44, "end": 1126.72, "word": " لأن", "probability": 0.712890625}, {"start": 1126.72, "end": 1127.02, "word": " هم", "probability": 0.66455078125}, {"start": 1127.02, "end": 1127.44, "word": " اصلا", "probability": 0.7986653645833334}, {"start": 1127.44, "end": 1128.04, "word": " one", "probability": 0.92822265625}, {"start": 1128.04, "end": 1128.4, "word": " to", "probability": 0.9150390625}, {"start": 1128.4, "end": 1128.66, "word": " one", "probability": 0.953125}, {"start": 1128.66, "end": 1129.3, "word": " وبهك", "probability": 0.787109375}, {"start": 1129.3, "end": 1129.6, "word": " بنكون", "probability": 0.7744140625}, {"start": 1129.6, "end": 1130.02, "word": " خلصنا", "probability": 0.9881591796875}, {"start": 1130.02, "end": 1130.3, "word": " الجزء", "probability": 0.9729817708333334}, {"start": 1130.3, "end": 1130.8, "word": " الاول", "probability": 0.820556640625}, {"start": 1130.8, "end": 1131.38, "word": " من", "probability": 0.9814453125}, {"start": 1131.38, "end": 1132.18, "word": " section", "probability": 0.61865234375}, {"start": 1132.18, "end": 1132.52, "word": " 7", "probability": 0.7900390625}, {"start": 1132.52, "end": 1132.88, "word": "-1", "probability": 0.794921875}, {"start": 1132.88, "end": 1133.66, "word": " بنكمله", "probability": 0.5602213541666666}, {"start": 1133.66, "end": 1133.84, "word": " في", "probability": 0.68603515625}, {"start": 1133.84, "end": 1134.16, "word": " المدرس", "probability": 0.71063232421875}, {"start": 1134.16, "end": 1134.56, "word": " القادم", "probability": 0.9894205729166666}, {"start": 1134.56, "end": 1134.74, "word": " ان", "probability": 0.814453125}, {"start": 1134.74, "end": 1135.02, "word": " شاء", "probability": 0.957275390625}, {"start": 1135.02, "end": 1135.08, "word": " الله", "probability": 0.94873046875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1135.1306875, "duration_after_vad": 1112.0793750000012} \ No newline at end of file