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نتمكن من حله بسبب ضيق الوقت ننتقل الى سؤال اخر وليكن سؤال ستة وخمسين سؤال ستة وخمسين بيقول ما ياتي انه m normal subgroups", "tokens": [3224, 15730, 13672, 1829, 25961, 1975, 34740, 8608, 33604, 6027, 9122, 2655, 3555, 8315, 3224, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 4032, 19528, 8717, 39237, 19452, 9154, 11331, 1211, 3224, 4724, 35457, 3555, 48812, 1829, 4587, 2423, 30543, 2655, 8717, 29399, 4587, 1211, 2423, 7578, 8608, 33604, 6027, 1975, 34740, 4032, 20292, 19452, 8608, 33604, 6027, 8608, 2655, 3660, 4032, 9778, 2304, 3794, 9957, 8608, 33604, 6027, 8608, 2655, 3660, 4032, 9778, 2304, 3794, 9957, 4724, 1829, 39648, 19446, 7251, 9307, 1829, 16472, 3224, 275, 2710, 1422, 17377, 82], "avg_logprob": -0.2041552191252237, "compression_ratio": 1.7425149700598803, "no_speech_prob": 0.0, "words": [{"start": 276.75, "end": 277.17, "word": "هذا", "probability": 0.846435546875}, {"start": 277.17, "end": 277.37, "word": " اللي", "probability": 0.3389892578125}, {"start": 277.37, "end": 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"temperature": 1.0}, {"id": 17, "seek": 36844, "start": 365.3, "end": 368.44, "text": "الخطوة الأولى يبقى firstly", "tokens": [6027, 9778, 9566, 2407, 3660, 16247, 12610, 7578, 7251, 3555, 4587, 7578, 27376], "avg_logprob": -0.6010044600282397, "compression_ratio": 0.8571428571428571, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 365.3, "end": 366.66, "word": "الخطوة", "probability": 0.68427734375}, {"start": 366.66, "end": 367.54, "word": " الأولى", "probability": 0.9293619791666666}, {"start": 367.54, "end": 368.02, "word": " يبقى", "probability": 0.7314300537109375}, {"start": 368.02, "end": 368.44, "word": " firstly", "probability": 0.2122802734375}], "temperature": 1.0}, {"id": 18, "seek": 39636, "start": 369.76, "end": 396.36, "text": "We show that ان الـ N في M is a subgroup من G هذا اللي عزيزي نثبته في الأول انها subgroup من G لذلك، بدا اقول النقطة الأولى الـ N في M is non-empty ليش؟ since او because", "tokens": [4360, 855, 300, 16472, 2423, 39184, 426, 8978, 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381.3, "end": 382.12, "word": " انها", "probability": 0.705810546875}, {"start": 382.12, "end": 383.2, "word": " subgroup", "probability": 0.864013671875}, {"start": 383.2, "end": 383.66, "word": " من", "probability": 0.9931640625}, {"start": 383.66, "end": 383.88, "word": " G", "probability": 0.95361328125}, {"start": 383.88, "end": 385.24, "word": " لذلك،", "probability": 0.796630859375}, {"start": 385.24, "end": 385.48, "word": " بدا", "probability": 0.33966064453125}, {"start": 385.48, "end": 385.92, "word": " اقول", "probability": 0.52593994140625}, {"start": 385.92, "end": 386.92, "word": " النقطة", "probability": 0.88037109375}, {"start": 386.92, "end": 388.04, "word": " الأولى", "probability": 0.966796875}, {"start": 388.04, "end": 388.62, "word": " الـ", "probability": 0.6126708984375}, {"start": 388.62, "end": 388.94, "word": " N", "probability": 0.84765625}, {"start": 388.94, "end": 389.46, "word": " في", "probability": 0.9833984375}, {"start": 389.46, "end": 390.02, "word": 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"end": 570.56, "word": " أقول", "probability": 0.903564453125}, {"start": 570.56, "end": 571.64, "word": " يساوي", "probability": 0.94482421875}], "temperature": 1.0}, {"id": 27, "seek": 59653, "start": 572.35, "end": 596.53, "text": "يساوي N1 زي ما هى هدها ها بدي استبدله برقم اخر و اعمله تبديل مع مين مع ال M يبقى هذا بدي يعطيني N3 M3 ليش هذا الكلام because اللي هو ال N is a normal subgroup من G", "tokens": [1829, 3794, 995, 45865, 426, 16, 30767, 1829, 19446, 8032, 7578, 8032, 3215, 11296, 8032, 995, 4724, 16254, 44713, 44510, 43761, 4724, 2288, 4587, 2304, 1975, 34740, 4032, 1975, 25957, 43761, 6055, 3555, 16254, 1211, 20449, 3714, 9957, 20449, 2423, 376, 7251, 3555, 4587, 7578, 23758, 4724, 16254, 37495, 9566, 1829, 22653, 426, 18, 376, 18, 32239, 8592, 23758, 2423, 28820, 10943, 570, 13672, 1829, 31439, 2423, 426, 307, 257, 2710, 1422, 17377, 9154, 460], "avg_logprob": -0.2833059155627301, "compression_ratio": 1.4655172413793103, "no_speech_prob": 5.960464477539063e-08, "words": 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579.45, "word": " اعمله", "probability": 0.9119466145833334}, {"start": 579.45, "end": 580.05, "word": " تبديل", "probability": 0.904052734375}, {"start": 580.05, "end": 580.25, "word": " مع", "probability": 0.95703125}, {"start": 580.25, "end": 580.63, "word": " مين", "probability": 0.80810546875}, {"start": 580.63, "end": 581.27, "word": " مع", "probability": 0.79248046875}, {"start": 581.27, "end": 581.49, "word": " ال", "probability": 0.95654296875}, {"start": 581.49, "end": 581.77, "word": " M", "probability": 0.84912109375}, {"start": 581.77, "end": 582.73, "word": " يبقى", "probability": 0.9478759765625}, {"start": 582.73, "end": 583.11, "word": " هذا", "probability": 0.416748046875}, {"start": 583.11, "end": 583.47, "word": " بدي", "probability": 0.69482421875}, {"start": 583.47, "end": 584.27, "word": " يعطيني", "probability": 0.76495361328125}, {"start": 584.27, "end": 585.71, "word": " N3", "probability": 0.866943359375}, {"start": 585.71, "end": 587.29, "word": " M3", "probability": 0.885009765625}, {"start": 587.29, "end": 588.19, "word": " ليش", "probability": 0.899658203125}, {"start": 588.19, "end": 588.47, "word": " هذا", "probability": 0.80029296875}, {"start": 588.47, "end": 589.13, "word": " الكلام", "probability": 0.9578450520833334}, {"start": 589.13, "end": 590.91, "word": " because", "probability": 0.355224609375}, {"start": 590.91, "end": 592.03, "word": " اللي", "probability": 0.74951171875}, {"start": 592.03, "end": 592.37, "word": " هو", "probability": 0.96630859375}, {"start": 592.37, "end": 592.97, "word": " ال", "probability": 0.96142578125}, {"start": 592.97, "end": 593.49, "word": " N", "probability": 0.96435546875}, {"start": 593.49, "end": 594.37, "word": " is", "probability": 0.794921875}, {"start": 594.37, "end": 594.83, "word": " a", "probability": 0.92578125}, {"start": 594.83, "end": 595.33, "word": " normal", "probability": 0.84814453125}, {"start": 595.33, "end": 596.05, "word": " subgroup", "probability": 0.662109375}, {"start": 596.05, "end": 596.35, "word": " من", "probability": 0.9892578125}, {"start": 596.35, "end": 596.53, "word": " G", "probability": 0.93310546875}], "temperature": 1.0}, {"id": 28, "seek": 62464, "start": 598.42, "end": 624.64, "text": "من تعريف الـ Normality لما تبقى ال N Normal هذا element موجود في G يبقى هذا ال element في هذا ال element بقدر استبدله ب element تاني من هذا و هذا زي ما هو و بنجلب وضعهم يبقى قلت N تلاتة M تلاتة ليش؟ لأن ال N عبارة عن Normal Subgroup من G طب N واحد في N تلاتة وين موجود؟", "tokens": [27842, 37279, 16572, 5172, 2423, 39184, 8702, 1860, 5296, 15042, 6055, 3555, 4587, 7578, 2423, 426, 21277, 23758, 4478, 3714, 29245, 23328, 8978, 460, 7251, 3555, 4587, 7578, 23758, 2423, 4478, 8978, 23758, 2423, 4478, 4724, 28543, 2288, 44713, 44510, 43761, 4724, 4478, 6055, 7649, 1829, 9154, 23758, 4032, 23758, 30767, 1829, 19446, 31439, 4032, 44945, 7435, 46152, 4032, 11242, 3615, 16095, 7251, 3555, 4587, 7578, 12174, 1211, 2655, 426, 6055, 1211, 9307, 3660, 376, 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618.44, "end": 618.68, "word": " ال", "probability": 0.91748046875}, {"start": 618.68, "end": 618.94, "word": " N", "probability": 0.9609375}, {"start": 618.94, "end": 619.4, "word": " عبارة", "probability": 0.99560546875}, {"start": 619.4, "end": 619.56, "word": " عن", "probability": 0.98583984375}, {"start": 619.56, "end": 619.96, "word": " Normal", "probability": 0.48681640625}, {"start": 619.96, "end": 620.88, "word": " Subgroup", "probability": 0.550537109375}, {"start": 620.88, "end": 621.16, "word": " من", "probability": 0.98828125}, {"start": 621.16, "end": 621.4, "word": " G", "probability": 0.9541015625}, {"start": 621.4, "end": 622.08, "word": " طب", "probability": 0.824462890625}, {"start": 622.08, "end": 622.4, "word": " N", "probability": 0.6259765625}, {"start": 622.4, "end": 622.94, "word": " واحد", "probability": 0.948974609375}, {"start": 622.94, "end": 623.12, "word": " في", "probability": 0.9482421875}, {"start": 623.12, "end": 623.34, "word": " N", "probability": 0.77490234375}, {"start": 623.34, "end": 623.78, "word": " تلاتة", "probability": 0.98291015625}, {"start": 623.78, "end": 623.96, "word": " وين", "probability": 0.5494384765625}, {"start": 623.96, "end": 624.64, "word": " موجود؟", "probability": 0.9774169921875}], "temperature": 1.0}, {"id": 29, "seek": 65152, "start": 626.0, "end": 651.52, "text": "وهذا الوضع موجود في الـM ويبقى هذا الوضع كله موجود في الـNM مدام موجود في الـNM أخد عنصرين موجودات في الـNM واخدت الأول في المعكس التاني وجدته موجود في الـNM يبقى سائل الـNM is a subgroup من G", "tokens": [2407, 3224, 15730, 2423, 2407, 11242, 3615, 3714, 29245, 23328, 8978, 2423, 39184, 44, 4032, 1829, 3555, 4587, 7578, 23758, 2423, 2407, 11242, 3615, 28242, 3224, 3714, 29245, 23328, 8978, 2423, 39184, 45, 44, 3714, 3215, 10943, 3714, 29245, 23328, 8978, 2423, 39184, 45, 44, 5551, 9778, 3215, 18871, 9381, 2288, 9957, 3714, 29245, 23328, 9307, 8978, 2423, 39184, 45, 44, 4032, 47283, 3215, 2655, 16247, 12610, 8978, 9673, 3615, 4117, 3794, 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"على طول الخط IG في N M إذا قلت أثبت إن هذا يسوي N M في G بتم المطلوب طب الكلام هذا بده يساوي بقدر أقول هذا NGM", "tokens": [3615, 23942, 23032, 12610, 33962, 9566, 26367, 8978, 426, 376, 11933, 15730, 12174, 1211, 2655, 5551, 12984, 3555, 2655, 36145, 23758, 7251, 3794, 45865, 426, 376, 8978, 460, 4724, 39237, 9673, 9566, 1211, 37746, 23032, 3555, 2423, 28820, 10943, 23758, 47525, 3224, 7251, 3794, 995, 45865, 4724, 28543, 2288, 5551, 39648, 23758, 426, 25152], "avg_logprob": -0.25696022727272727, "compression_ratio": 1.4296875, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 675.32, "end": 675.76, "word": "على", "probability": 0.6915283203125}, {"start": 675.76, "end": 676.12, "word": " طول", "probability": 0.989990234375}, {"start": 676.12, "end": 676.58, "word": " الخط", "probability": 0.9365234375}, {"start": 676.58, "end": 677.58, "word": " IG", "probability": 0.64697265625}, {"start": 677.58, "end": 678.46, "word": " في", "probability": 0.054840087890625}, {"start": 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a normal subgroup من G طب بدأجي للاتنين هدول يبقى هذا الكلام هاي ال N زي ما هي", "tokens": [1863, 28543, 2288, 22807, 32239, 8592, 22807, 5296, 33456, 426, 307, 2710, 7251, 3555, 4587, 7578, 23758, 570, 2423, 426, 307, 257, 2710, 1422, 17377, 9154, 460, 23032, 3555, 47525, 10721, 7435, 1829, 24976, 9307, 1863, 9957, 8032, 3215, 12610, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 8032, 47302, 2423, 426, 30767, 1829, 19446, 39896], "avg_logprob": -0.3289473726038347, "compression_ratio": 1.3356164383561644, "no_speech_prob": 0.0, "words": [{"start": 694.87, "end": 695.89, "word": "نقدر؟", "probability": 0.6253662109375}, {"start": 695.89, "end": 696.91, "word": " ليش؟", "probability": 0.7923177083333334}, {"start": 696.91, "end": 697.13, "word": " لأن", "probability": 0.56005859375}, {"start": 697.13, "end": 697.31, "word": " N", "probability": 0.300048828125}, {"start": 697.31, "end": 697.53, "word": " is", "probability": 0.5458984375}, {"start": 697.53, "end": 698.05, "word": " 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{"id": 33, "seek": 73323, "start": 711.45, "end": 733.23, "text": "هذه الـ M في G لأن الـ M مجلد عام من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة من جه", "tokens": [3224, 24192, 2423, 39184, 376, 8978, 460, 5296, 33456, 2423, 39184, 376, 3714, 7435, 1211, 3215, 6225, 10943, 9154, 10874, 3224, 3660, 10874, 16254, 41891, 9154, 10874, 3224, 3660, 10874, 16254, 41891, 9154, 10874, 3224, 3660, 10874, 16254, 41891, 9154, 10874, 3224, 3660, 10874, 16254, 41891, 9154, 10874, 3224, 3660, 10874, 16254, 41891, 9154, 10874, 3224, 3660, 10874, 16254, 41891, 9154, 10874, 3224, 3660, 10874, 16254, 41891, 9154, 10874, 3224, 3660, 10874, 16254, 41891, 9154, 10874, 3224, 3660, 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identity تبع ال G bar؟ لأ الإجابة خطأ، طيب السؤال الثاني هل ال kernel subset من ال G bar؟ برضه لأ", "tokens": [40228, 22653, 4386, 37495, 22653, 41850, 12174, 9381, 3215, 2655, 8032, 1211, 2423, 28256, 31439, 2423, 6575, 6055, 3555, 3615, 2423, 460, 2159, 22807, 5296, 10721, 33688, 7435, 16758, 3660, 16490, 9566, 10721, 12399, 23032, 1829, 3555, 21136, 33604, 6027, 6024, 104, 7649, 1829, 8032, 1211, 2423, 28256, 25993, 9154, 2423, 460, 2159, 22807, 4724, 43042, 3224, 5296, 10721], "avg_logprob": -0.16276042237877847, "compression_ratio": 1.4, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 1415.39, "end": 1416.01, "word": "يعني", "probability": 0.860595703125}, {"start": 1416.01, "end": 1416.01, "word": " ..", "probability": 0.275390625}, {"start": 1416.01, "end": 1417.71, "word": " يعني", "probability": 0.86474609375}, {"start": 1417.71, "end": 1418.13, "word": " أنا", "probability": 0.748046875}, {"start": 1418.13, "end": 1418.95, "word": " قصدت", "probability": 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0.51708984375}, {"start": 1437.32, "end": 1438.34, "word": " subset", "probability": 0.78564453125}, {"start": 1438.34, "end": 1439.24, "word": " من", "probability": 0.97705078125}, {"start": 1439.24, "end": 1439.56, "word": " من", "probability": 0.57958984375}, {"start": 1439.56, "end": 1439.9, "word": " من", "probability": 0.89453125}, {"start": 1439.9, "end": 1440.16, "word": " ال", "probability": 0.869140625}, {"start": 1440.16, "end": 1440.36, "word": " G", "probability": 0.712890625}, {"start": 1440.36, "end": 1440.98, "word": " وليس", "probability": 0.9005533854166666}, {"start": 1440.98, "end": 1441.14, "word": " من", "probability": 0.8544921875}, {"start": 1441.14, "end": 1441.32, "word": " ال", "probability": 0.8603515625}, {"start": 1441.32, "end": 1441.48, "word": " G", "probability": 0.7119140625}, {"start": 1441.48, "end": 1441.7, "word": " bar", "probability": 0.61328125}, {"start": 1441.7, "end": 1441.98, "word": " بس", "probability": 0.87060546875}, {"start": 1441.98, "end": 1442.22, "word": " مين", "probability": 0.792724609375}, {"start": 1442.22, "end": 1442.32, "word": " ال", "probability": 0.978515625}, {"start": 1442.32, "end": 1443.26, "word": " subset؟", "probability": 0.82080078125}, {"start": 1443.26, "end": 1443.54, "word": " كل", "probability": 0.9541015625}, {"start": 1443.54, "end": 1444.4, "word": " العناصر", "probability": 0.964111328125}, {"start": 1444.4, "end": 1444.66, "word": " اللي", "probability": 0.9814453125}, {"start": 1444.66, "end": 1445.22, "word": " موجودة", "probability": 0.990478515625}, {"start": 1445.22, "end": 1445.36, "word": " في", "probability": 0.966796875}, {"start": 1445.36, "end": 1445.54, "word": " G", "probability": 0.94921875}, {"start": 1445.54, "end": 1445.8, "word": " اللي", "probability": 0.7188720703125}, {"start": 1445.8, "end": 1446.92, "word": " صورتهم", "probability": 0.958984375}], "temperature": 1.0}, {"id": 66, "seek": 146479, "start": 1447.97, "end": 1464.79, "text": "هذا يجعلني أطرح كمان تساؤل لو كان عندي isomorphism فتح كويس معايا ايزو مورفزم وبدي ال kernel لهذا ال isomorphism اكم عنصر بقدر اللاجي فيه", "tokens": [3224, 15730, 7251, 7435, 30241, 22653, 5551, 9566, 2288, 5016, 9122, 2304, 7649, 6055, 3794, 5718, 97, 1211, 45164, 25961, 18871, 16254, 307, 32702, 1434, 6156, 2655, 5016, 9122, 45865, 3794, 20449, 995, 25528, 1975, 1829, 11622, 2407, 3714, 13063, 5172, 11622, 2304, 46599, 16254, 2423, 28256, 46740, 15730, 2423, 307, 32702, 1434, 1975, 24793, 18871, 9381, 2288, 4724, 28543, 2288, 13672, 26108, 1829, 8978, 3224], "avg_logprob": -0.4221082027278729, "compression_ratio": 1.4701986754966887, "no_speech_prob": 0.0, "words": [{"start": 1447.97, "end": 1448.73, "word": "هذا", "probability": 0.27532958984375}, {"start": 1448.73, "end": 1452.13, "word": " يجعلني", "probability": 0.688690185546875}, {"start": 1452.13, "end": 1452.55, "word": " أطرح", "probability": 0.8262939453125}, {"start": 1452.55, "end": 1452.95, "word": " كمان", "probability": 0.6171875}, {"start": 1452.95, "end": 1453.69, "word": " تساؤل", "probability": 0.838623046875}, {"start": 1453.69, "end": 1454.47, "word": " لو", "probability": 0.2091064453125}, {"start": 1454.47, "end": 1455.07, "word": " كان", "probability": 0.90087890625}, {"start": 1455.07, "end": 1455.43, "word": " عندي", "probability": 0.6378173828125}, {"start": 1455.43, "end": 1456.97, "word": " isomorphism", "probability": 0.8023274739583334}, {"start": 1456.97, "end": 1457.71, "word": " فتح", "probability": 0.7177734375}, {"start": 1457.71, "end": 1458.17, "word": " كويس", "probability": 0.8639322916666666}, {"start": 1458.17, "end": 1458.53, "word": " معايا", "probability": 0.8167317708333334}, {"start": 1458.53, "end": 1459.23, "word": " ايزو", "probability": 0.6197509765625}, {"start": 1459.23, "end": 1459.93, "word": " مورفزم", "probability": 0.8501953125}, {"start": 1459.93, "end": 1460.71, "word": " وبدي", "probability": 0.55377197265625}, {"start": 1460.71, "end": 1460.89, "word": " ال", 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اللي في بحيث ال phi of x بدها تساوي ال identity معناته عندي عدة عناصر بيشتركوا في نفس الصورة اللي هي ال identity تبعي ال G bar يرجى ال kernel هو حضرة العناصر اللي عندي هدول اللي من G واضح؟", "tokens": [2407, 24401, 4724, 3794, 32239, 8592, 11331, 4117, 995, 10632, 2423, 472, 281, 472, 19446, 41185, 8592, 18871, 9381, 2288, 9957, 4724, 1829, 8592, 2655, 31747, 14407, 8978, 8717, 36178, 31767, 13063, 3660, 44381, 5296, 15042, 1975, 8315, 1975, 39648, 2423, 28256, 2423, 13107, 28242, 2423, 2031, 13672, 1829, 8978, 4724, 5016, 1829, 12984, 2423, 13107, 295, 2031, 47525, 11296, 6055, 3794, 995, 45865, 2423, 6575, 20449, 8315, 47395, 18871, 16254, 6225, 41891, 18871, 33546, 2288, 4724, 1829, 8592, 2655, 31747, 14407, 8978, 8717, 36178, 31767, 13063, 3660, 13672, 1829, 39896, 2423, 6575, 6055, 3555, 3615, 1829, 2423, 460, 2159, 7251, 47341, 7578, 2423, 28256, 31439, 11331, 11242, 25720, 18863, 1863, 33546, 2288, 13672, 1829, 18871, 16254, 8032, 3215, 12610, 13672, 1829, 9154, 460, 4032, 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1576.76, "end": 1576.92, "word": " ال", "probability": 0.90771484375}, {"start": 1576.92, "end": 1577.04, "word": " G", "probability": 0.443603515625}, {"start": 1577.04, "end": 1577.2, "word": " في", "probability": 0.92431640625}, {"start": 1577.2, "end": 1577.74, "word": " الصورة", "probability": 0.9842122395833334}, {"start": 1577.74, "end": 1578.42, "word": " يبقى", "probability": 0.97216796875}, {"start": 1578.42, "end": 1578.54, "word": " ال", "probability": 0.85791015625}, {"start": 1578.54, "end": 1578.88, "word": " kernel", "probability": 0.61474609375}, {"start": 1578.88, "end": 1579.1, "word": " في", "probability": 0.9755859375}, {"start": 1579.1, "end": 1579.44, "word": " هذه", "probability": 0.97265625}, {"start": 1579.44, "end": 1579.84, "word": " الحالة", "probability": 0.98681640625}, {"start": 1579.84, "end": 1580.24, "word": " يساوي", "probability": 0.8348388671875}, {"start": 1580.24, "end": 1580.64, "word": " ال", "probability": 0.61181640625}, {"start": 1580.64, "end": 1582.44, "word": " identity", "probability": 0.888671875}, {"start": 1582.44, "end": 1583.24, "word": " يبقى", "probability": 0.9420166015625}, {"start": 1583.24, "end": 1583.52, "word": " هذا", "probability": 0.93310546875}, {"start": 1583.52, "end": 1584.0, "word": " أبسط", "probability": 0.9498291015625}, {"start": 1584.0, "end": 1584.48, "word": " أنواع", "probability": 0.943359375}, {"start": 1584.48, "end": 1585.16, "word": " الأمثلة", "probability": 0.9766845703125}, {"start": 1585.16, "end": 1585.54, "word": " أروح", "probability": 0.7637532552083334}, {"start": 1585.54, "end": 1586.3, "word": " لمثال", "probability": 0.9646809895833334}, {"start": 1586.3, "end": 1586.96, "word": " ثاني", "probability": 0.98046875}, {"start": 1586.96, "end": 1588.52, "word": " مثال", "probability": 0.899169921875}, {"start": 1588.52, "end": 1588.86, "word": " ثاني", "probability": 0.9832356770833334}, {"start": 1588.86, "end": 1589.26, "word": " بيقول", "probability": 0.80029296875}, {"start": 1589.26, "end": 1589.9, "word": " define", "probability": 0.759765625}], "temperature": 1.0}, {"id": 72, "seek": 162013, "start": 1592.49, "end": 1620.13, "text": "A function فاي من ال general linear group of two by two matrices over R لمن لست of real numbers لما أشيل منها ال zero تحت عملية الضرب by فاي of A بدو سوى ال determinant لل A", "tokens": [32, 2445, 6156, 47302, 9154, 2423, 2674, 8213, 1594, 295, 732, 538, 732, 32284, 670, 497, 5296, 27842, 5296, 14851, 295, 957, 3547, 5296, 15042, 5551, 8592, 26895, 9154, 11296, 2423, 4018, 6055, 33753, 6225, 42213, 10632, 6024, 114, 25513, 538, 6156, 47302, 295, 316, 47525, 2407, 8608, 2407, 7578, 2423, 41296, 24976, 316], "avg_logprob": -0.3661931894042275, "compression_ratio": 1.2857142857142858, "no_speech_prob": 0.0, "words": [{"start": 1592.49, "end": 1592.87, "word": "A", "probability": 0.050689697265625}, {"start": 1592.87, "end": 1593.85, "word": " function", "probability": 0.623046875}, {"start": 1593.85, "end": 1594.75, "word": " فاي", "probability": 0.33355712890625}, {"start": 1594.75, "end": 1598.79, "word": " من", "probability": 0.57763671875}, {"start": 1598.79, "end": 1599.63, "word": " ال", "probability": 0.89892578125}, {"start": 1599.63, "end": 1600.11, "word": " general", "probability": 0.408447265625}, {"start": 1600.11, "end": 1600.63, "word": " linear", "probability": 0.78662109375}, {"start": 1600.63, "end": 1601.13, "word": " group", "probability": 0.939453125}, {"start": 1601.13, "end": 1601.37, "word": " of", "probability": 0.8828125}, {"start": 1601.37, "end": 1601.61, "word": " two", "probability": 0.71728515625}, {"start": 1601.61, "end": 1601.85, "word": " by", "probability": 0.888671875}, {"start": 1601.85, "end": 1602.11, "word": " two", "probability": 0.9443359375}, {"start": 1602.11, "end": 1602.83, "word": " matrices", "probability": 0.83203125}, {"start": 1602.83, "end": 1603.79, "word": " over", "probability": 0.85986328125}, {"start": 1603.79, "end": 1604.55, "word": " R", "probability": 0.88818359375}, {"start": 1604.55, "end": 1605.59, "word": " لمن", "probability": 0.598388671875}, {"start": 1605.59, "end": 1606.31, "word": " لست", "probability": 0.5673828125}, {"start": 1606.31, "end": 1606.65, "word": " of", "probability": 0.876953125}, {"start": 1606.65, "end": 1607.03, "word": " real", "probability": 0.95751953125}, {"start": 1607.03, "end": 1607.65, "word": " numbers", "probability": 0.82373046875}, {"start": 1607.65, "end": 1608.03, "word": " لما", "probability": 0.900634765625}, {"start": 1608.03, "end": 1608.81, "word": " أشيل", "probability": 0.8264973958333334}, {"start": 1608.81, "end": 1609.27, "word": " منها", "probability": 0.98486328125}, {"start": 1609.27, "end": 1609.47, "word": " ال", "probability": 0.892578125}, {"start": 1609.47, "end": 1609.81, "word": " zero", "probability": 0.6015625}, {"start": 1609.81, "end": 1610.75, "word": " تحت", "probability": 0.98828125}, {"start": 1610.75, "end": 1611.75, "word": " عملية", "probability": 0.9866536458333334}, {"start": 1611.75, "end": 1612.63, "word": " الضرب", "probability": 0.8351236979166666}, {"start": 1612.63, "end": 1613.87, "word": " by", "probability": 0.59326171875}, {"start": 1613.87, "end": 1615.77, "word": " فاي", "probability": 0.705078125}, {"start": 1615.77, "end": 1616.29, "word": " of", "probability": 0.85595703125}, {"start": 1616.29, "end": 1616.81, "word": " A", "probability": 0.63671875}, {"start": 1616.81, "end": 1617.35, "word": " بدو", "probability": 0.4659423828125}, {"start": 1617.35, "end": 1617.69, "word": " سوى", "probability": 0.57666015625}, {"start": 1617.69, "end": 1617.83, "word": " ال", "probability": 0.71533203125}, {"start": 1617.83, "end": 1618.81, "word": " determinant", "probability": 0.89013671875}, {"start": 1618.81, "end": 1619.65, "word": " لل", "probability": 0.818359375}, {"start": 1619.65, "end": 1620.13, "word": " A", "probability": 0.50048828125}], "temperature": 1.0}, {"id": 73, "seek": 164189, "start": 1621.41, "end": 1641.89, "text": "يبقى show that show المطلوب الأول نمره a show that phi is homomorphism هذا المطلوب الأول المطلوب التاني نمره b find الكيرن ال main لل phi", "tokens": [1829, 3555, 4587, 7578, 855, 300, 855, 9673, 9566, 1211, 37746, 16247, 12610, 8717, 29973, 3224, 257, 855, 300, 13107, 307, 3655, 32702, 1434, 23758, 9673, 9566, 1211, 37746, 16247, 12610, 9673, 9566, 1211, 37746, 16712, 7649, 1829, 8717, 29973, 3224, 272, 915, 33251, 13546, 1863, 2423, 2135, 24976, 13107], "avg_logprob": -0.3121936145950766, "compression_ratio": 1.592, "no_speech_prob": 0.0, "words": [{"start": 1621.41, "end": 1622.33, "word": "يبقى", "probability": 0.8509521484375}, {"start": 1622.33, "end": 1622.69, "word": " show", "probability": 0.90478515625}, {"start": 1622.69, "end": 1623.43, "word": " that", "probability": 0.81591796875}, {"start": 1623.43, "end": 1624.41, "word": " show", "probability": 0.187255859375}, {"start": 1624.41, "end": 1625.05, "word": " المطلوب", "probability": 0.9495849609375}, {"start": 1625.05, "end": 1625.61, "word": " الأول", "probability": 0.955078125}, {"start": 1625.61, "end": 1626.07, "word": " نمره", "probability": 0.41943359375}, {"start": 1626.07, "end": 1626.35, "word": " a", "probability": 0.45556640625}, {"start": 1626.35, "end": 1627.05, "word": " show", "probability": 0.759765625}, {"start": 1627.05, "end": 1627.77, "word": " that", "probability": 0.93994140625}, {"start": 1627.77, "end": 1628.77, "word": " phi", "probability": 0.136962890625}, {"start": 1628.77, "end": 1629.69, "word": " is", "probability": 0.94970703125}, {"start": 1629.69, "end": 1631.85, "word": " homomorphism", "probability": 0.9568684895833334}, {"start": 1631.85, "end": 1632.47, "word": " هذا", "probability": 0.8583984375}, {"start": 1632.47, "end": 1632.95, "word": " المطلوب", "probability": 0.966064453125}, {"start": 1632.95, "end": 1633.43, "word": " الأول", "probability": 0.9853515625}, {"start": 1633.43, "end": 1634.53, "word": " المطلوب", "probability": 0.9609375}, {"start": 1634.53, "end": 1635.19, "word": " التاني", "probability": 0.9163411458333334}, {"start": 1635.19, "end": 1636.01, "word": " نمره", "probability": 0.9025065104166666}, {"start": 1636.01, "end": 1636.35, "word": " b", "probability": 0.5390625}, {"start": 1636.35, "end": 1637.89, "word": " find", "probability": 0.9306640625}, {"start": 1637.89, "end": 1640.13, "word": " الكيرن", "probability": 0.5918782552083334}, {"start": 1640.13, "end": 1640.35, "word": " ال", "probability": 0.31298828125}, {"start": 1640.35, "end": 1640.83, "word": " main", "probability": 0.269287109375}, {"start": 1640.83, "end": 1641.47, "word": " لل", "probability": 0.775390625}, {"start": 1641.47, "end": 1641.89, "word": " phi", "probability": 0.57568359375}], "temperature": 1.0}, {"id": 74, "seek": 167693, "start": 1650.81, "end": 1676.93, "text": "خلّي بالا كدا الان مرة ثانية عرفنا function من ال general linear group of two by two matrices over R لل R minus Zero مجموعة الاعداد الحقيقية شيلت منها الصفر وعرفنا عليها عملية الضرب سابقا اثبتنا انها group by Phi of A يسوى ال determinant لل A الان ال A هى عبارة عن مين؟", "tokens": [9778, 1211, 11703, 1829, 20666, 995, 9122, 28259, 2423, 7649, 3714, 25720, 38637, 7649, 10632, 6225, 28480, 8315, 2445, 9154, 2423, 2674, 8213, 1594, 295, 732, 538, 732, 32284, 670, 497, 24976, 497, 3175, 17182, 3714, 7435, 2304, 2407, 27884, 42963, 22488, 18513, 21542, 38436, 4587, 10632, 13412, 26895, 2655, 9154, 11296, 31767, 5172, 2288, 4032, 3615, 28480, 8315, 25894, 11296, 6225, 42213, 10632, 6024, 114, 25513, 8608, 16758, 4587, 995, 1975, 12984, 3555, 2655, 8315, 16472, 11296, 1594, 538, 41435, 295, 316, 7251, 3794, 2407, 7578, 2423, 41296, 24976, 316, 2423, 7649, 2423, 316, 8032, 7578, 6225, 3555, 9640, 3660, 18871, 3714, 9957, 22807], "avg_logprob": -0.2448408066664102, "compression_ratio": 1.550387596899225, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1650.81, "end": 1651.23, "word": "خلّي", "probability": 0.6812744140625}, {"start": 1651.23, "end": 1651.43, "word": " بالا", "probability": 0.443359375}, {"start": 1651.43, "end": 1652.21, "word": " كدا", "probability": 0.483642578125}, {"start": 1652.21, "end": 1653.39, "word": " الان", "probability": 0.5499267578125}, {"start": 1653.39, "end": 1653.89, "word": " مرة", "probability": 0.947265625}, {"start": 1653.89, "end": 1654.35, "word": " ثانية", "probability": 0.9599609375}, {"start": 1654.35, "end": 1656.31, "word": " عرفنا", "probability": 0.83544921875}, {"start": 1656.31, "end": 1656.81, "word": " function", "probability": 0.7353515625}, {"start": 1656.81, "end": 1657.57, "word": " من", "probability": 0.8896484375}, {"start": 1657.57, "end": 1657.75, "word": " ال", "probability": 0.9287109375}, {"start": 1657.75, "end": 1658.09, "word": " general", "probability": 0.64013671875}, {"start": 1658.09, "end": 1658.43, "word": " linear", "probability": 0.45361328125}, {"start": 1658.43, "end": 1658.95, "word": " group", "probability": 0.95263671875}, {"start": 1658.95, "end": 1659.17, "word": " of", "probability": 0.88134765625}, {"start": 1659.17, "end": 1659.37, "word": " two", "probability": 0.630859375}, {"start": 1659.37, "end": 1659.57, "word": " by", "probability": 0.90966796875}, {"start": 1659.57, "end": 1659.79, "word": " two", "probability": 0.94775390625}, {"start": 1659.79, "end": 1660.31, "word": " matrices", "probability": 0.93603515625}, {"start": 1660.31, "end": 1660.91, "word": " over", "probability": 0.86865234375}, {"start": 1660.91, "end": 1661.43, "word": " R", "probability": 0.82763671875}, {"start": 1661.43, "end": 1661.77, "word": " لل", "probability": 0.3671875}, {"start": 1661.77, "end": 1662.19, "word": " R", "probability": 0.449462890625}, {"start": 1662.19, "end": 1662.81, "word": " minus", "probability": 0.572265625}, {"start": 1662.81, "end": 1663.35, "word": " Zero", "probability": 0.3671875}, {"start": 1663.35, "end": 1663.85, "word": " مجموعة", "probability": 0.954296875}, {"start": 1663.85, "end": 1664.27, "word": " الاعداد", "probability": 0.7899576822916666}, {"start": 1664.27, "end": 1664.89, "word": " الحقيقية", "probability": 0.9886474609375}, {"start": 1664.89, "end": 1665.23, "word": " شيلت", "probability": 0.8631184895833334}, {"start": 1665.23, "end": 1665.47, "word": " منها", "probability": 0.985595703125}, {"start": 1665.47, "end": 1665.83, "word": " الصفر", "probability": 0.94677734375}, {"start": 1665.83, "end": 1666.37, "word": " وعرفنا", "probability": 0.8587646484375}, {"start": 1666.37, "end": 1666.61, "word": " عليها", "probability": 0.9638671875}, {"start": 1666.61, "end": 1666.99, "word": " عملية", "probability": 0.99365234375}, {"start": 1666.99, "end": 1667.37, "word": " الضرب", "probability": 0.861328125}, {"start": 1667.37, "end": 1668.51, "word": " سابقا", "probability": 0.9656982421875}, {"start": 1668.51, "end": 1669.15, "word": " اثبتنا", "probability": 0.90615234375}, {"start": 1669.15, "end": 1669.49, "word": " انها", "probability": 0.9013671875}, {"start": 1669.49, "end": 1669.83, "word": " group", "probability": 0.939453125}, {"start": 1669.83, "end": 1671.01, "word": " by", "probability": 0.6162109375}, {"start": 1671.01, "end": 1671.39, "word": " Phi", "probability": 0.305908203125}, {"start": 1671.39, "end": 1671.73, "word": " of", "probability": 0.9208984375}, {"start": 1671.73, "end": 1671.91, "word": " A", "probability": 0.82958984375}, {"start": 1671.91, "end": 1672.31, "word": " يسوى", "probability": 0.7454833984375}, {"start": 1672.31, "end": 1672.39, "word": " ال", "probability": 0.623046875}, {"start": 1672.39, "end": 1673.11, "word": " determinant", "probability": 0.96630859375}, {"start": 1673.11, "end": 1673.71, "word": " لل", "probability": 0.85888671875}, {"start": 1673.71, "end": 1674.09, "word": " A", "probability": 0.53955078125}, {"start": 1674.09, "end": 1674.79, "word": " الان", "probability": 0.6951904296875}, {"start": 1674.79, "end": 1675.01, "word": " ال", 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قال لي هاتلي ال kernel يبقى بداجي أطبقله التعريف تبع ال kernel يبقى باجي بقوله ال kernel ل الفاي هو كل المصفوفات اللي موجودة في ال general linear group of two by two matrices over R", "tokens": [1863, 2304, 23557, 4724, 1829, 50239, 32239, 8032, 9307, 20292, 2423, 28256, 7251, 3555, 4587, 7578, 47525, 26108, 1829, 5551, 9566, 3555, 4587, 43761, 16712, 3615, 16572, 5172, 6055, 3555, 3615, 2423, 28256, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 2423, 28256, 5296, 27188, 47302, 31439, 28242, 9673, 9381, 5172, 38688, 9307, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 2423, 2674, 8213, 1594, 295, 732, 538, 732, 32284, 670, 497], "avg_logprob": -0.23353041124504967, "compression_ratio": 1.5842696629213484, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1787.65, "end": 1788.25, "word": "نمرا", "probability": 0.3420817057291667}, {"start": 1788.25, "end": 1788.57, "word": " بي", "probability": 0.8037109375}, {"start": 1788.57, "end": 1788.85, "word": " قال", 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"text": "such that ان الـ Phi of A بده يساوي ال identity تبع ال R minus ال 0 ال R minus ال 0 تمام؟", "tokens": [39974, 300, 16472, 2423, 39184, 41435, 295, 316, 47525, 3224, 7251, 3794, 995, 45865, 2423, 6575, 6055, 3555, 3615, 2423, 497, 3175, 2423, 1958, 2423, 497, 3175, 2423, 1958, 46811, 10943, 22807], "avg_logprob": -0.4244791666666667, "compression_ratio": 1.2903225806451613, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1807.87, "end": 1808.57, "word": "such", "probability": 0.3427734375}, {"start": 1808.57, "end": 1809.13, "word": " that", "probability": 0.95556640625}, {"start": 1809.13, "end": 1809.49, "word": " ان", "probability": 0.3251953125}, {"start": 1809.49, "end": 1809.89, "word": " الـ", "probability": 0.547119140625}, {"start": 1809.89, "end": 1810.27, "word": " Phi", "probability": 0.17529296875}, {"start": 1810.27, "end": 1810.91, "word": " of", "probability": 0.84130859375}, {"start": 1810.91, "end": 1811.35, "word": " A", "probability": 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{"start": 1818.81, "end": 1820.25, "word": " minus", "probability": 0.8447265625}, {"start": 1820.25, "end": 1820.93, "word": " ال", "probability": 0.8798828125}, {"start": 1820.93, "end": 1821.61, "word": " 0", "probability": 0.8740234375}, {"start": 1821.61, "end": 1824.45, "word": " تمام؟", "probability": 0.9152018229166666}], "temperature": 1.0}, {"id": 82, "seek": 184883, "start": 1830.65, "end": 1848.83, "text": "مرة تانية بقول الان انا كتبت تعريف ال kernel الذي يناسب وضع المثلة كل المصففات اللي موجودة في ال general linear group of two by two matrices over R بحيث ال Phi of A بده يسوى من ال I identity", "tokens": [2304, 25720, 6055, 7649, 10632, 4724, 39648, 2423, 7649, 1975, 8315, 9122, 2655, 3555, 2655, 37279, 16572, 5172, 2423, 28256, 43527, 7251, 8315, 35457, 4032, 11242, 3615, 9673, 12984, 37977, 28242, 9673, 9381, 5172, 5172, 9307, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 2423, 2674, 8213, 1594, 295, 732, 538, 732, 32284, 670, 497, 4724, 5016, 1829, 12984, 2423, 41435, 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1876.95, "end": 1877.09, "word": " هي", "probability": 0.9091796875}, {"start": 1877.09, "end": 1877.99, "word": " عبارة", "probability": 0.85150146484375}, {"start": 1877.99, "end": 1878.23, "word": " عن", "probability": 0.98486328125}, {"start": 1878.23, "end": 1878.43, "word": " مين", "probability": 0.7003173828125}, {"start": 1878.43, "end": 1878.95, "word": " ال", "probability": 0.61767578125}, {"start": 1878.95, "end": 1879.55, "word": " special", "probability": 0.90283203125}, {"start": 1879.55, "end": 1880.61, "word": " يبقى", "probability": 0.9019775390625}, {"start": 1880.61, "end": 1880.93, "word": " هذا", "probability": 0.931640625}, {"start": 1880.93, "end": 1881.51, "word": " الكلام", "probability": 0.9469401041666666}, {"start": 1881.51, "end": 1882.61, "word": " بيساوي", "probability": 0.768212890625}, {"start": 1882.61, "end": 1882.91, "word": " ال", "probability": 0.62451171875}, {"start": 1882.91, "end": 1883.61, "word": " special", "probability": 0.9375}, {"start": 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39184, 40224, 28242, 9673, 9381, 28480, 9307, 9673, 24401, 41891, 7251, 3794, 995, 45865, 9122, 2304, 22807, 7251, 3794, 995, 45865, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 50113, 6027, 12602, 4587, 2304, 6055, 1211, 9307, 3660, 4724, 1829, 39648, 6964, 4724, 43042, 3224, 257, 2445, 8978, 9154], "avg_logprob": -0.32456139514320775, "compression_ratio": 1.3517241379310345, "no_speech_prob": 0.0, "words": [{"start": 1890.91, "end": 1891.43, "word": "يبقى", "probability": 0.731201171875}, {"start": 1891.43, "end": 1892.01, "word": " أصبح", "probability": 0.77783203125}, {"start": 1892.01, "end": 1892.29, "word": " الـ", "probability": 0.507080078125}, {"start": 1892.29, "end": 1892.71, "word": " Kern", "probability": 0.3994140625}, {"start": 1892.71, "end": 1893.35, "word": " كل", "probability": 0.83349609375}, {"start": 1893.35, "end": 1894.39, "word": " المصرفات", "probability": 0.767730712890625}, {"start": 1894.39, "end": 1895.27, "word": " المحددة", "probability": 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"word": " a", "probability": 0.5673828125}, {"start": 1908.63, "end": 1909.63, "word": " function", "probability": 0.9794921875}, {"start": 1909.63, "end": 1910.89, "word": " في", "probability": 0.1732177734375}, {"start": 1910.89, "end": 1911.55, "word": " من", "probability": 0.92431640625}], "temperature": 1.0}, {"id": 86, "seek": 193748, "start": 1912.76, "end": 1937.48, "text": "الـ set of real numbers ناقص الـ zero تحت عملية الضرب الى نفس ال group الى ال set of real numbers ناقص ال zero تحت عملية الضرب بالضبط تماما نهيها by فاي of X بده يسوي absolute value ل X", "tokens": [6027, 39184, 992, 295, 957, 3547, 8717, 995, 4587, 9381, 2423, 39184, 4018, 6055, 33753, 6225, 42213, 10632, 6024, 114, 25513, 2423, 7578, 8717, 36178, 2423, 1594, 2423, 7578, 2423, 992, 295, 957, 3547, 8717, 995, 4587, 9381, 2423, 4018, 6055, 33753, 6225, 42213, 10632, 6024, 114, 25513, 20666, 11242, 3555, 9566, 46811, 10943, 995, 8717, 3224, 1829, 11296, 538, 6156, 47302, 295, 1783, 47525, 3224, 7251, 3794, 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الضرب", "probability": 0.8951822916666666}, {"start": 1918.78, "end": 1919.82, "word": " الى", "probability": 0.58770751953125}, {"start": 1919.82, "end": 1920.22, "word": " نفس", "probability": 0.978271484375}, {"start": 1920.22, "end": 1920.42, "word": " ال", "probability": 0.84619140625}, {"start": 1920.42, "end": 1920.94, "word": " group", "probability": 0.77294921875}, {"start": 1920.94, "end": 1921.86, "word": " الى", "probability": 0.75732421875}, {"start": 1921.86, "end": 1922.4, "word": " ال", "probability": 0.72509765625}, {"start": 1922.4, "end": 1922.7, "word": " set", "probability": 0.68994140625}, {"start": 1922.7, "end": 1923.06, "word": " of", "probability": 0.97265625}, {"start": 1923.06, "end": 1923.34, "word": " real", "probability": 0.94921875}, {"start": 1923.34, "end": 1924.0, "word": " numbers", "probability": 0.8759765625}, {"start": 1924.0, "end": 1924.76, "word": " ناقص", "probability": 0.9873046875}, {"start": 1924.76, "end": 1925.0, "word": " ال", "probability": 0.97802734375}, {"start": 1925.0, "end": 1925.34, "word": " zero", "probability": 0.455322265625}, {"start": 1925.34, "end": 1925.88, "word": " تحت", "probability": 0.9912109375}, {"start": 1925.88, "end": 1926.62, "word": " عملية", "probability": 0.98583984375}, {"start": 1926.62, "end": 1927.32, "word": " الضرب", "probability": 0.9786783854166666}, {"start": 1927.32, "end": 1928.46, "word": " بالضبط", "probability": 0.714385986328125}, {"start": 1928.46, "end": 1929.16, "word": " تماما", "probability": 0.9853515625}, {"start": 1929.16, "end": 1929.76, "word": " نهيها", "probability": 0.628448486328125}, {"start": 1929.76, "end": 1931.3, "word": " by", "probability": 0.408935546875}, {"start": 1931.3, "end": 1933.34, "word": " فاي", "probability": 0.28826904296875}, {"start": 1933.34, "end": 1933.72, "word": " of", "probability": 0.810546875}, {"start": 1933.72, "end": 1934.32, "word": " X", "probability": 0.415771484375}, {"start": 1934.32, "end": 1934.88, "word": " بده", "probability": 0.5308837890625}, {"start": 1934.88, "end": 1935.28, "word": " يسوي", "probability": 0.7696940104166666}, {"start": 1935.28, "end": 1936.1, "word": " absolute", "probability": 0.8759765625}, {"start": 1936.1, "end": 1936.98, "word": " value", "probability": 0.98876953125}, {"start": 1936.98, "end": 1937.16, "word": " ل", "probability": 0.65966796875}, {"start": 1937.16, "end": 1937.48, "word": " X", "probability": 0.59765625}], "temperature": 1.0}, {"id": 87, "seek": 196005, "start": 1938.65, "end": 1960.05, "text": "برضه بدي اعمل نفس اللي مطلوب هنا نمرة a show that phi is a homomorphism نمرة b find الكيرن اللي من للphi شكل اللي عندنا هنا الان solution", "tokens": [3555, 43042, 3224, 4724, 16254, 1975, 25957, 1211, 8717, 36178, 13672, 1829, 3714, 9566, 1211, 37746, 34105, 8717, 2304, 25720, 257, 855, 300, 13107, 307, 257, 3655, 32702, 1434, 8717, 2304, 25720, 272, 915, 33251, 13546, 1863, 13672, 1829, 9154, 24976, 950, 72, 13412, 28820, 13672, 1829, 43242, 8315, 34105, 2423, 7649, 3827], "avg_logprob": -0.4024884275816105, "compression_ratio": 1.4265734265734267, "no_speech_prob": 0.0, "words": [{"start": 1938.65, "end": 1939.17, "word": "برضه", "probability": 0.6434733072916666}, {"start": 1939.17, "end": 1939.43, "word": " بدي", "probability": 0.623779296875}, {"start": 1939.43, "end": 1939.81, "word": " اعمل", "probability": 0.8621419270833334}, {"start": 1939.81, "end": 1940.15, "word": " نفس", "probability": 0.820068359375}, {"start": 1940.15, "end": 1940.41, "word": " اللي", "probability": 0.5831298828125}, {"start": 1940.41, "end": 1941.23, "word": " مطلوب", "probability": 0.8812255859375}, {"start": 1941.23, "end": 1941.69, "word": " هنا", "probability": 0.9658203125}, {"start": 1941.69, "end": 1942.37, "word": " نمرة", "probability": 0.4178466796875}, {"start": 1942.37, "end": 1942.85, "word": " a", "probability": 0.5673828125}, {"start": 1942.85, "end": 1943.49, "word": " show", "probability": 0.7958984375}, {"start": 1943.49, "end": 1945.69, "word": " that", "probability": 0.89111328125}, {"start": 1945.69, "end": 1946.81, "word": " phi", "probability": 0.12017822265625}, {"start": 1946.81, "end": 1947.61, "word": " is", "probability": 0.9443359375}, {"start": 1947.61, "end": 1948.29, "word": " a", "probability": 0.921875}, {"start": 1948.29, "end": 1950.11, "word": " homomorphism", "probability": 0.9619140625}, {"start": 1950.11, "end": 1951.15, "word": " نمرة", "probability": 0.8849283854166666}, {"start": 1951.15, "end": 1951.55, "word": " b", "probability": 0.7294921875}, {"start": 1951.55, "end": 1952.91, "word": " find", "probability": 0.91162109375}, {"start": 1952.91, "end": 1954.29, "word": " الكيرن", "probability": 0.6449381510416666}, {"start": 1954.29, "end": 1954.49, "word": " اللي", "probability": 0.6639404296875}, {"start": 1954.49, "end": 1954.95, "word": " من", "probability": 0.74609375}, {"start": 1954.95, "end": 1956.47, "word": " للphi", "probability": 0.5585123697916666}, {"start": 1956.47, "end": 1957.35, "word": " شكل", "probability": 0.625732421875}, {"start": 1957.35, "end": 1957.49, "word": " اللي", "probability": 0.971923828125}, {"start": 1957.49, "end": 1957.77, "word": " عندنا", "probability": 0.81982421875}, {"start": 1957.77, "end": 1958.11, "word": " هنا", "probability": 0.30810546875}, {"start": 1958.11, "end": 1959.23, "word": " الان", "probability": 0.6463623046875}, {"start": 1959.23, "end": 1960.05, "word": " solution", "probability": 0.87744140625}], "temperature": 1.0}, {"id": 88, "seek": 198140, "start": 1965.3, "end": 1981.4, "text": "العملية عملية ضرب يبقى بيقول XY حسب التعريف يبقى absolute value لل X في Y لو راجعنا إلى ال calculus هذا absolute value لل X في ال absolute value لماذا؟", "tokens": [6027, 3615, 42213, 10632, 6225, 42213, 10632, 48812, 25513, 7251, 3555, 4587, 7578, 4724, 1829, 39648, 48826, 11331, 35457, 16712, 3615, 16572, 5172, 7251, 3555, 4587, 7578, 8236, 2158, 24976, 1783, 8978, 398, 45164, 12602, 26108, 3615, 8315, 30731, 2423, 33400, 23758, 8236, 2158, 24976, 1783, 8978, 2423, 8236, 2158, 32767, 45636, 995, 22807], "avg_logprob": -0.42812500541860404, "compression_ratio": 1.5673758865248226, "no_speech_prob": 0.0, "words": [{"start": 1965.3, "end": 1966.26, "word": "العملية", "probability": 0.56268310546875}, {"start": 1966.26, "end": 1966.8, "word": " عملية", "probability": 0.6395060221354166}, {"start": 1966.8, "end": 1967.18, "word": " ضرب", "probability": 0.813232421875}, {"start": 1967.18, "end": 1967.42, "word": " يبقى", "probability": 0.6229248046875}, {"start": 1967.42, "end": 1967.84, "word": " بيقول", "probability": 0.4131673177083333}, {"start": 1967.84, "end": 1968.82, "word": " XY", "probability": 0.2109375}, {"start": 1968.82, "end": 1970.3, "word": " حسب", "probability": 0.80810546875}, {"start": 1970.3, "end": 1971.0, "word": " التعريف", "probability": 0.9827880859375}, {"start": 1971.0, "end": 1971.38, "word": " يبقى", "probability": 0.8868408203125}, {"start": 1971.38, "end": 1971.82, "word": " absolute", "probability": 0.58251953125}, {"start": 1971.82, "end": 1972.9, "word": " value", "probability": 0.98828125}, {"start": 1972.9, "end": 1973.16, "word": " لل", "probability": 0.292724609375}, {"start": 1973.16, "end": 1973.62, "word": " X", "probability": 0.6123046875}, {"start": 1973.62, "end": 1973.88, "word": " في", "probability": 0.96240234375}, {"start": 1973.88, "end": 1974.22, "word": " Y", "probability": 0.984375}, {"start": 1974.22, "end": 1975.02, "word": " لو", "probability": 0.8505859375}, {"start": 1975.02, "end": 1975.74, "word": " راجعنا", "probability": 0.883056640625}, {"start": 1975.74, "end": 1976.06, "word": " إلى", "probability": 0.5751953125}, {"start": 1976.06, "end": 1976.3, "word": " ال", "probability": 0.87548828125}, {"start": 1976.3, "end": 1976.86, "word": " calculus", "probability": 0.8017578125}, {"start": 1976.86, "end": 1977.36, "word": " هذا", "probability": 0.6708984375}, {"start": 1977.36, "end": 1978.02, "word": " absolute", "probability": 0.8046875}, {"start": 1978.02, "end": 1978.68, "word": " value", "probability": 0.99072265625}, {"start": 1978.68, "end": 1978.9, "word": " لل", "probability": 0.83984375}, {"start": 1978.9, "end": 1979.22, "word": " X", "probability": 0.97314453125}, {"start": 1979.22, "end": 1979.44, "word": " في", "probability": 0.93408203125}, {"start": 1979.44, "end": 1979.58, "word": " ال", "probability": 0.53515625}, {"start": 1979.58, "end": 1980.12, "word": " absolute", "probability": 0.88916015625}, {"start": 1980.12, "end": 1980.64, "word": " value", "probability": 0.98974609375}, {"start": 1980.64, "end": 1981.4, "word": " لماذا؟", "probability": 0.6270751953125}], "temperature": 1.0}, {"id": 89, "seek": 200606, "start": 1981.48, "end": 2006.06, "text": "للـ Y الـ absolute value لل X هي Phi of X والـ absolute value لل Y Phi of Y هذا لكل ال X والـ Y اللي موجودة في الـ R ناقص الـ Zero لذلك Phi is a homomorphism يبقى هذه النقطة الأولى بداجة للنقطة الثانية بدنا الكيرن للـ Phi", 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{"start": 2090.19, "end": 2090.51, "word": " اللي", "probability": 0.76953125}, {"start": 2090.51, "end": 2091.37, "word": " موجودة", "probability": 0.9869384765625}, {"start": 2091.37, "end": 2092.01, "word": " في", "probability": 0.96923828125}, {"start": 2092.01, "end": 2092.43, "word": " R", "probability": 0.9677734375}], "temperature": 1.0}, {"id": 93, "seek": 210919, "start": 2093.05, "end": 2109.19, "text": "يبقى برضه نفس المطلوب نمرا a show that بييل لي أن فاي is homomorphism نمرا بي find ال kern ال mainly الفاي", "tokens": [1829, 3555, 4587, 7578, 4724, 43042, 3224, 8717, 36178, 9673, 9566, 1211, 37746, 8717, 2304, 23557, 257, 855, 300, 4724, 1829, 26895, 32239, 14739, 6156, 47302, 307, 3655, 32702, 1434, 8717, 2304, 23557, 4724, 1829, 915, 2423, 23434, 2423, 8704, 27188, 47302], "avg_logprob": -0.4756540600643602, "compression_ratio": 1.232, "no_speech_prob": 0.0, "words": [{"start": 2093.05, "end": 2093.79, "word": "يبقى", "probability": 0.8798828125}, {"start": 2093.79, "end": 2094.19, "word": " برضه", "probability": 0.7723795572916666}, {"start": 2094.19, "end": 2094.55, "word": " نفس", "probability": 0.899658203125}, {"start": 2094.55, "end": 2095.33, "word": " المطلوب", "probability": 0.9730224609375}, {"start": 2095.33, "end": 2095.89, "word": " نمرا", "probability": 0.4358723958333333}, {"start": 2095.89, "end": 2096.37, "word": " a", "probability": 0.43115234375}, {"start": 2096.37, "end": 2096.89, "word": " show", "probability": 0.76953125}, {"start": 2096.89, "end": 2097.67, "word": " that", "probability": 0.94091796875}, {"start": 2097.67, "end": 2098.65, "word": " بييل", "probability": 0.6240234375}, {"start": 2098.65, "end": 2098.79, "word": " لي", "probability": 0.334228515625}, {"start": 2098.79, "end": 2099.05, "word": " أن", "probability": 0.43896484375}, {"start": 2099.05, "end": 2099.69, "word": " فاي", "probability": 0.46929931640625}, {"start": 2099.69, "end": 2100.19, "word": " is", "probability": 0.487060546875}, {"start": 2100.19, "end": 2101.91, "word": " homomorphism", "probability": 0.9225260416666666}, {"start": 2101.91, "end": 2103.23, "word": " نمرا", "probability": 0.81396484375}, {"start": 2103.23, "end": 2103.65, "word": " بي", "probability": 0.8037109375}, {"start": 2103.65, "end": 2105.03, "word": " find", "probability": 0.4912109375}, {"start": 2105.03, "end": 2106.29, "word": " ال", "probability": 0.64404296875}, {"start": 2106.29, "end": 2106.77, "word": " kern", "probability": 0.280517578125}, {"start": 2106.77, "end": 2107.03, "word": " ال", "probability": 0.279541015625}, {"start": 2107.03, "end": 2107.65, "word": " mainly", "probability": 0.1943359375}, {"start": 2107.65, "end": 2109.19, "word": " الفاي", "probability": 0.59228515625}], "temperature": 1.0}, {"id": 94, "seek": 213753, "start": 2113.79, "end": 2137.53, "text": "فكر في الموضوع كويس و بدنا نيجي نثبت أو نوجد له المطلبين اللي طلبهم في هذه المسألة طبعا لما درسنا ال isomorphism ماجيبناش سيرة ال kernel على الإطلاق لكن أجلنا لل homomorphism كيف؟", "tokens": [5172, 37983, 8978, 9673, 2407, 11242, 45367, 9122, 45865, 3794, 4032, 47525, 8315, 8717, 1829, 7435, 1829, 8717, 12984, 3555, 2655, 34051, 8717, 29245, 3215, 46740, 9673, 9566, 46152, 9957, 13672, 1829, 23032, 46152, 16095, 8978, 29538, 9673, 3794, 10721, 37977, 23032, 3555, 3615, 995, 5296, 15042, 11778, 2288, 3794, 8315, 2423, 307, 32702, 1434, 19446, 7435, 1829, 3555, 1863, 33599, 8608, 48923, 2423, 28256, 15844, 33688, 9566, 15040, 4587, 44381, 5551, 7435, 1211, 8315, 24976, 3655, 32702, 1434, 9122, 33911, 22807], "avg_logprob": -0.1855233394237886, "compression_ratio": 1.5714285714285714, "no_speech_prob": 0.0, "words": [{"start": 2113.79, "end": 2114.33, "word": "فكر", "probability": 0.93408203125}, {"start": 2114.33, "end": 2114.47, "word": " في", "probability": 0.88818359375}, {"start": 2114.47, "end": 2114.91, "word": " الموضوع", "probability": 0.998291015625}, {"start": 2114.91, "end": 2115.53, "word": " كويس", "probability": 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0.953125}, {"start": 2124.37, "end": 2126.07, "word": " المسألة", "probability": 0.974609375}, {"start": 2126.07, "end": 2128.37, "word": " طبعا", "probability": 0.9556884765625}, {"start": 2128.37, "end": 2128.61, "word": " لما", "probability": 0.822998046875}, {"start": 2128.61, "end": 2129.11, "word": " درسنا", "probability": 0.8525390625}, {"start": 2129.11, "end": 2129.21, "word": " ال", "probability": 0.9423828125}, {"start": 2129.21, "end": 2130.13, "word": " isomorphism", "probability": 0.7451985677083334}, {"start": 2130.13, "end": 2131.19, "word": " ماجيبناش", "probability": 0.8011474609375}, {"start": 2131.19, "end": 2131.47, "word": " سيرة", "probability": 0.884033203125}, {"start": 2131.47, "end": 2131.71, "word": " ال", "probability": 0.76953125}, {"start": 2131.71, "end": 2132.11, "word": " kernel", "probability": 0.442626953125}, {"start": 2132.11, "end": 2132.63, "word": " على", "probability": 0.85791015625}, {"start": 2132.63, "end": 2133.75, "word": " الإطلاق", "probability": 0.866455078125}, {"start": 2133.75, "end": 2134.55, "word": " لكن", "probability": 0.8408203125}, {"start": 2134.55, "end": 2135.21, "word": " أجلنا", "probability": 0.9034423828125}, {"start": 2135.21, "end": 2135.47, "word": " لل", "probability": 0.405517578125}, {"start": 2135.47, "end": 2136.53, "word": " homomorphism", "probability": 0.9539388020833334}, {"start": 2136.53, "end": 2137.53, "word": " كيف؟", "probability": 0.7937825520833334}], "temperature": 1.0}, {"id": 95, "seek": 215498, "start": 2140.17, "end": 2154.99, "text": "لانه فش غير عنصر واحد طيب الان بدى نبين ان هذا هو homomorphism فباجى بقوله بدي اخد في of بدي اشوف x زائد y والله x في y", "tokens": [1211, 7649, 3224, 6156, 8592, 32771, 13546, 18871, 9381, 2288, 36764, 24401, 23032, 1829, 3555, 2423, 7649, 47525, 7578, 8717, 3555, 9957, 16472, 23758, 31439, 3655, 32702, 1434, 6156, 3555, 26108, 7578, 4724, 39648, 3224, 4724, 16254, 1975, 9778, 3215, 8978, 295, 4724, 16254, 1975, 8592, 38688, 2031, 30767, 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"probability": 0.8671875}, {"start": 2144.99, "end": 2145.43, "word": " هذا", "probability": 0.6875}, {"start": 2145.43, "end": 2145.65, "word": " هو", "probability": 0.42236328125}, {"start": 2145.65, "end": 2146.47, "word": " homomorphism", "probability": 0.7901204427083334}, {"start": 2146.47, "end": 2146.97, "word": " فباجى", "probability": 0.58642578125}, {"start": 2146.97, "end": 2147.47, "word": " بقوله", "probability": 0.8702799479166666}, {"start": 2147.47, "end": 2147.73, "word": " بدي", "probability": 0.66796875}, {"start": 2147.73, "end": 2148.33, "word": " اخد", "probability": 0.88232421875}, {"start": 2148.33, "end": 2149.17, "word": " في", "probability": 0.32275390625}, {"start": 2149.17, "end": 2149.75, "word": " of", "probability": 0.87890625}, {"start": 2149.75, "end": 2150.63, "word": " بدي", "probability": 0.7127685546875}, {"start": 2150.63, "end": 2151.03, "word": " اشوف", "probability": 0.9293619791666666}, {"start": 2151.03, "end": 2151.65, "word": " x", "probability": 0.5029296875}, {"start": 2151.65, "end": 2152.87, "word": " زائد", "probability": 0.85400390625}, {"start": 2152.87, "end": 2153.19, "word": " y", "probability": 0.94775390625}, {"start": 2153.19, "end": 2153.67, "word": " والله", "probability": 0.768310546875}, {"start": 2153.67, "end": 2154.09, "word": " x", "probability": 0.75537109375}, {"start": 2154.09, "end": 2154.33, "word": " في", "probability": 0.98486328125}, {"start": 2154.33, "end": 2154.99, "word": " y", "probability": 0.9677734375}], "temperature": 1.0}, {"id": 96, "seek": 216332, "start": 2156.9, "end": 2163.32, "text": "يبقى عملية جامعة فاي اف اكس زائد واي", "tokens": [1829, 3555, 4587, 7578, 6225, 42213, 10632, 10874, 10943, 27884, 6156, 47302, 1975, 5172, 1975, 4117, 3794, 30767, 16373, 3215, 36764, 1829], "avg_logprob": -0.6776494409727014, "compression_ratio": 1.0, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2156.8999999999996, "end": 2158.18, "word": "يبقى", "probability": 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0.8963216145833334}], "temperature": 1.0}, {"id": 99, "seek": 223208, "start": 2217.34, "end": 2232.08, "text": "الـ Phi of X بده يساوي ال identity element تبع ال R plus", "tokens": [6027, 39184, 41435, 295, 1783, 47525, 3224, 7251, 3794, 995, 45865, 2423, 6575, 4478, 6055, 3555, 3615, 2423, 497, 1804], "avg_logprob": -0.5647321542104086, "compression_ratio": 0.9736842105263158, "no_speech_prob": 0.0, "words": [{"start": 2217.34, "end": 2219.46, "word": "الـ", "probability": 0.4483642578125}, {"start": 2219.46, "end": 2219.8, "word": " Phi", "probability": 0.1875}, {"start": 2219.8, "end": 2220.28, "word": " of", "probability": 0.75439453125}, {"start": 2220.28, "end": 2220.78, "word": " X", "probability": 0.7958984375}, {"start": 2220.78, "end": 2221.44, "word": " بده", "probability": 0.2115936279296875}, {"start": 2221.44, "end": 2221.86, "word": " يساوي", "probability": 0.8741455078125}, {"start": 2221.86, "end": 2222.08, "word": " ال", "probability": 0.90576171875}, {"start": 2222.08, "end": 2223.04, "word": " identity", "probability": 0.37939453125}, {"start": 2223.04, "end": 2229.76, "word": " element", "probability": 0.98046875}, {"start": 2229.76, "end": 2230.5, "word": " تبع", "probability": 0.8380533854166666}, {"start": 2230.5, "end": 2230.64, "word": " ال", "probability": 0.383056640625}, {"start": 2230.64, "end": 2231.28, "word": " R", "probability": 0.69482421875}, {"start": 2231.28, "end": 2232.08, "word": " plus", "probability": 0.1949462890625}], "temperature": 1.0}, {"id": 100, "seek": 225150, "start": 2234.06, "end": 2251.5, "text": "بقوله كويس كل ال X اللي موجودة في R بحيث ان Phi of X هي مين إيقص X تمام؟ وهذا ال identity element اللي هو واحد صحيح في غيره؟", "tokens": [3555, 39648, 3224, 9122, 45865, 3794, 28242, 2423, 1783, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 497, 4724, 5016, 1829, 12984, 16472, 41435, 295, 1783, 39896, 3714, 9957, 11933, 1829, 4587, 9381, 1783, 46811, 10943, 22807, 37037, 15730, 2423, 6575, 4478, 13672, 1829, 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بي define a function في من زد اتناش", "tokens": [5172, 47302, 257, 3655, 32702, 1434, 16070, 28814, 7435, 16758, 3660, 8717, 25957, 1975, 2407, 20193, 47525, 4117, 6055, 39648, 1829, 983, 8717, 29973, 4724, 1829, 6964, 257, 2445, 8978, 9154, 30767, 3215, 1975, 2655, 1863, 33599], "avg_logprob": -0.32154606047429535, "compression_ratio": 1.1176470588235294, "no_speech_prob": 0.0, "words": [{"start": 2331.43, "end": 2332.31, "word": "فاي", "probability": 0.52587890625}, {"start": 2332.31, "end": 2333.17, "word": " a", "probability": 0.353759765625}, {"start": 2333.17, "end": 2335.67, "word": " homomorphism", "probability": 0.953125}, {"start": 2335.67, "end": 2337.55, "word": " والإجابة", "probability": 0.828955078125}, {"start": 2337.55, "end": 2337.97, "word": " نعم", "probability": 0.97412109375}, {"start": 2337.97, "end": 2338.33, "word": " او", "probability": 0.6627197265625}, {"start": 2338.33, "end": 2338.47, "word": " لا", "probability": 0.908203125}, {"start": 2338.47, "end": 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{"id": 105, "seek": 237898, "start": 2352.61, "end": 2378.99, "text": "الى زد اتناش بي فاي of اكس بده يساوي تلاتة اكس show that show that فاي is homomorphism and find ال kernel للفاي", "tokens": [6027, 7578, 30767, 3215, 1975, 2655, 1863, 33599, 4724, 1829, 6156, 47302, 295, 1975, 4117, 3794, 47525, 3224, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 1975, 4117, 3794, 855, 300, 855, 300, 6156, 47302, 307, 3655, 32702, 1434, 293, 915, 2423, 28256, 24976, 5172, 47302], "avg_logprob": -0.39594414386343446, "compression_ratio": 1.2916666666666667, "no_speech_prob": 0.0, "words": [{"start": 2352.61, "end": 2353.13, "word": "الى", "probability": 0.5755615234375}, {"start": 2353.13, "end": 2353.77, "word": " زد", "probability": 0.41461181640625}, {"start": 2353.77, "end": 2354.75, "word": " اتناش", "probability": 0.8038330078125}, {"start": 2354.75, "end": 2355.99, "word": " بي", "probability": 0.2686767578125}, {"start": 2355.99, "end": 2357.07, "word": " فاي", "probability": 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يعني ان الـG to the power N بده ساوى من؟ بده ساوى ال identity بدي اثبت ان ال order للصورة تبعت ال G بيقسم ال order تبع من ال G", "tokens": [6780, 307, 37495, 22653, 16472, 2423, 39184, 38, 281, 264, 1347, 426, 47525, 3224, 8608, 995, 2407, 7578, 9154, 22807, 47525, 3224, 8608, 995, 2407, 7578, 2423, 6575, 4724, 16254, 1975, 12984, 3555, 2655, 16472, 2423, 1668, 24976, 9381, 13063, 3660, 6055, 3555, 34268, 2423, 460, 4724, 1829, 4587, 38251, 2423, 1668, 6055, 3555, 3615, 9154, 2423, 460], "avg_logprob": -0.2645656830173428, "compression_ratio": 1.4113475177304964, "no_speech_prob": 0.0, "words": [{"start": 2866.55, "end": 2867.07, "word": "that", "probability": 0.308349609375}, {"start": 2867.07, "end": 2867.45, "word": " is", "probability": 0.88427734375}, {"start": 2867.45, "end": 2869.53, "word": " يعني", "probability": 0.845703125}, {"start": 2869.53, "end": 2870.51, "word": " ان", "probability": 0.5390625}, {"start": 2870.51, "end": 2871.17, "word": " الـG", "probability": 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2877.21, "end": 2877.85, "word": " اثبت", "probability": 0.85980224609375}, {"start": 2877.85, "end": 2878.29, "word": " ان", "probability": 0.9189453125}, {"start": 2878.29, "end": 2878.57, "word": " ال", "probability": 0.94873046875}, {"start": 2878.57, "end": 2879.15, "word": " order", "probability": 0.93701171875}, {"start": 2879.15, "end": 2880.33, "word": " للصورة", "probability": 0.9093017578125}, {"start": 2880.33, "end": 2880.71, "word": " تبعت", "probability": 0.75048828125}, {"start": 2880.71, "end": 2880.95, "word": " ال", "probability": 0.69140625}, {"start": 2880.95, "end": 2881.11, "word": " G", "probability": 0.60498046875}, {"start": 2881.11, "end": 2881.73, "word": " بيقسم", "probability": 0.9681396484375}, {"start": 2881.73, "end": 2881.95, "word": " ال", "probability": 0.98388671875}, {"start": 2881.95, "end": 2882.41, "word": " order", "probability": 0.97119140625}, {"start": 2882.41, "end": 2882.85, "word": " تبع", "probability": 0.9049479166666666}, {"start": 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"seek": 293285, "start": 2913.35, "end": 2932.85, "text": "يعني G أُس N بده يسوي ال identity بده يقسم ال N لذلك لو جيت قلت لخدلي ال Phi خدلي ال Phi of G كله to the power N", "tokens": [40228, 22653, 460, 5551, 10859, 3794, 426, 47525, 3224, 7251, 3794, 45865, 2423, 6575, 47525, 3224, 7251, 4587, 38251, 2423, 426, 5296, 8848, 23275, 45164, 10874, 36081, 12174, 1211, 2655, 5296, 9778, 3215, 20292, 2423, 41435, 16490, 3215, 20292, 2423, 41435, 295, 460, 28242, 3224, 281, 264, 1347, 426], "avg_logprob": -0.42343749523162844, "compression_ratio": 1.2992125984251968, "no_speech_prob": 0.0, "words": [{"start": 2913.35, "end": 2913.91, "word": "يعني", "probability": 0.53521728515625}, {"start": 2913.91, "end": 2914.17, "word": " G", "probability": 0.209228515625}, {"start": 2914.17, "end": 2914.63, "word": " أُس", "probability": 0.5438639322916666}, {"start": 2914.63, "end": 2914.89, "word": " N", "probability": 0.8212890625}, {"start": 2914.89, "end": 2915.33, "word": " بده", "probability": 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"word": " ال", "probability": 0.951171875}, {"start": 2992.65, "end": 2993.07, "word": " N", "probability": 0.98486328125}], "temperature": 1.0}, {"id": 130, "seek": 300748, "start": 2993.76, "end": 3007.48, "text": "أظن كرولري على Lagrange theorem طيب هذا الكلام يعني ان ال order ل phi of G divide ال order ل G وهو المطلوب", "tokens": [10721, 19913, 1863, 9122, 2288, 12610, 16572, 15844, 24886, 14521, 20904, 23032, 1829, 3555, 23758, 2423, 28820, 10943, 37495, 22653, 16472, 2423, 1668, 5296, 13107, 295, 460, 9845, 2423, 1668, 5296, 460, 37037, 2407, 9673, 9566, 1211, 37746], "avg_logprob": -0.38141025335360795, "compression_ratio": 1.2063492063492063, "no_speech_prob": 0.0, "words": [{"start": 2993.76, "end": 2994.26, "word": "أظن", "probability": 0.708251953125}, {"start": 2994.26, "end": 2994.88, "word": " كرولري", "probability": 0.664276123046875}, {"start": 2994.88, "end": 2995.28, "word": " على", "probability": 0.70458984375}, {"start": 2995.28, "end": 2996.28, "word": " Lagrange", "probability": 0.7076416015625}, {"start": 2996.28, "end": 2996.94, "word": " theorem", "probability": 0.7724609375}, {"start": 2996.94, "end": 2997.92, "word": " طيب", "probability": 0.66595458984375}, {"start": 2997.92, "end": 2998.28, "word": " هذا", "probability": 0.8701171875}, {"start": 2998.28, "end": 2999.02, "word": " الكلام", "probability": 0.9290364583333334}, {"start": 2999.02, "end": 2999.9, "word": " يعني", "probability": 0.94970703125}, {"start": 2999.9, "end": 3000.22, "word": " ان", "probability": 0.491455078125}, {"start": 3000.22, "end": 3000.42, "word": " ال", "probability": 0.6103515625}, {"start": 3000.42, "end": 3000.96, "word": " order", "probability": 0.94970703125}, {"start": 3000.96, "end": 3001.24, "word": " ل", "probability": 0.6279296875}, {"start": 3001.24, "end": 3001.72, "word": " phi", "probability": 0.09637451171875}, {"start": 3001.72, "end": 3002.12, "word": " of", "probability": 0.90478515625}, {"start": 3002.12, "end": 3002.44, "word": " G", "probability": 0.55029296875}, {"start": 3002.44, "end": 3003.74, "word": " divide", "probability": 0.291259765625}, {"start": 3003.74, "end": 3004.16, "word": " ال", "probability": 0.88623046875}, {"start": 3004.16, "end": 3004.72, "word": " order", "probability": 0.96875}, {"start": 3004.72, "end": 3005.0, "word": " ل", "probability": 0.8818359375}, {"start": 3005.0, "end": 3005.34, "word": " G", "probability": 0.84765625}, {"start": 3005.34, "end": 3006.48, "word": " وهو", "probability": 0.799072265625}, {"start": 3006.48, "end": 3007.48, "word": " المطلوب", "probability": 0.978759765625}], "temperature": 1.0}, {"id": 131, "seek": 301792, "start": 3007.98, "end": 3017.92, "text": "هذه النقطة التالتة النقطة الرابعة ال kernel subgroup هذه النقطة الرابعة اول شي ال kernel", "tokens": [3224, 24192, 28239, 47432, 3660, 16712, 6027, 2655, 3660, 28239, 47432, 3660, 34892, 16758, 27884, 2423, 28256, 1422, 17377, 29538, 28239, 47432, 3660, 34892, 16758, 27884, 1975, 12610, 44049, 2423, 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" Phi", "probability": 0.8681640625}, {"start": 3038.56, "end": 3040.32, "word": " الآن", "probability": 0.6043701171875}, {"start": 3040.32, "end": 3041.02, "word": " لو", "probability": 0.80029296875}, {"start": 3041.02, "end": 3041.4, "word": " قلت", "probability": 0.94677734375}, {"start": 3041.4, "end": 3041.66, "word": " لك", "probability": 0.5595703125}, {"start": 3041.66, "end": 3042.16, "word": " خدلي", "probability": 0.75634765625}, {"start": 3042.16, "end": 3042.8, "word": " XY", "probability": 0.50634765625}, {"start": 3042.8, "end": 3044.94, "word": " موجودة", "probability": 0.9794921875}, {"start": 3044.94, "end": 3045.14, "word": " في", "probability": 0.98974609375}, {"start": 3045.14, "end": 3045.48, "word": " الـ", "probability": 0.750732421875}, {"start": 3045.48, "end": 3046.4, "word": " Kernel", "probability": 0.979736328125}, {"start": 3046.4, "end": 3046.72, "word": " للـ", "probability": 0.89453125}, {"start": 3046.72, "end": 3047.02, "word": " Phi", 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