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0.6373697916666666}, {"start": 88.19, "end": 88.71, "word": " المفهومة", "probability": 0.96923828125}, {"start": 88.71, "end": 89.05, "word": " فهذه", "probability": 0.82470703125}, {"start": 89.05, "end": 89.35, "word": " النقطة", "probability": 0.9860026041666666}, {"start": 89.35, "end": 89.49, "word": " احنا", "probability": 0.7972005208333334}, {"start": 89.49, "end": 89.79, "word": " حاولنا", "probability": 0.9967041015625}, {"start": 89.79, "end": 90.05, "word": " نفهم", "probability": 0.9646809895833334}, {"start": 90.05, "end": 90.33, "word": " ليش", "probability": 0.75048828125}, {"start": 90.33, "end": 90.75, "word": " العلاقة", "probability": 0.9420572916666666}, {"start": 90.75, "end": 91.51, "word": " فبقولي", "probability": 0.8228759765625}, {"start": 91.51, "end": 91.63, "word": " أنا", "probability": 0.734375}, {"start": 91.63, "end": 91.95, "word": " بقول", "probability": 0.986083984375}, {"start": 91.95, "end": 92.29, "word": " عنه", "probability": 0.4052734375}, {"start": 92.29, "end": 92.95, "word": " في", "probability": 0.4169921875}, {"start": 92.95, "end": 93.63, "word": " عددين", "probability": 0.9732666015625}, {"start": 93.63, "end": 94.59, "word": " صحيحين", "probability": 0.9890625}, {"start": 94.59, "end": 95.03, "word": " اللي", "probability": 0.77734375}, {"start": 95.03, "end": 95.15, "word": " هم", "probability": 0.812744140625}, {"start": 95.15, "end": 95.49, "word": " علاقة", "probability": 0.9754231770833334}, {"start": 95.49, "end": 95.67, "word": " مع", "probability": 0.98681640625}, {"start": 95.67, "end": 96.07, "word": " بعض", "probability": 0.997802734375}, {"start": 96.07, "end": 96.45, "word": " إذا", "probability": 0.977783203125}, {"start": 96.45, "end": 96.79, "word": " حاصل", "probability": 0.9759114583333334}, {"start": 96.79, "end": 97.13, "word": " ضربهم", "probability": 0.986328125}, {"start": 97.13, "end": 97.45, "word": " موجب", "probability": 0.9947916666666666}, {"start": 97.45, "end": 97.77, "word": " بمعنى", "probability": 0.95048828125}, {"start": 97.77, "end": 97.99, "word": " يكون", "probability": 0.721923828125}, {"start": 97.99, "end": 98.19, "word": " نفس", "probability": 0.9892578125}, {"start": 98.19, "end": 98.71, "word": " الإشارة", "probability": 0.9654541015625}], "temperature": 1.0}, {"id": 4, "seek": 11620, "start": 98.78, "end": 116.2, "text": "يا اتنين موجبين مع بعض، يا اتنين سالبين مع بعض، تمام، إيش السؤال؟ determine whether R is reflexive, symmetric, transitive or not؟ فهنا سؤال مفتوح، ماجلناش اثبت زي هذا they prove or disapprove ولا قال لا ايه اثبت انه خطأ زي بعض الأسئلة", "tokens": [25528, 1975, 2655, 1863, 9957, 3714, 29245, 3555, 9957, 20449, 45030, 11242, 12399, 35186, 1975, 2655, 1863, 9957, 8608, 6027, 3555, 9957, 20449, 45030, 11242, 12399, 46811, 10943, 12399, 11933, 1829, 8592, 21136, 33604, 6027, 22807, 6997, 1968, 497, 307, 23802, 488, 11, 32330, 11, 1145, 2187, 420, 406, 22807, 6156, 3224, 8315, 8608, 33604, 6027, 3714, 5172, 2655, 2407, 5016, 12399, 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0.943115234375}, {"start": 101.06, "end": 101.42, "word": " مع", "probability": 0.994140625}, {"start": 101.42, "end": 101.7, "word": " بعض،", "probability": 0.8640950520833334}, {"start": 101.7, "end": 102.32, "word": " تمام،", "probability": 0.803466796875}, {"start": 102.32, "end": 102.54, "word": " إيش", "probability": 0.8162434895833334}, {"start": 102.54, "end": 103.32, "word": " السؤال؟", "probability": 0.9434814453125}, {"start": 103.32, "end": 103.72, "word": " determine", "probability": 0.568359375}, {"start": 103.72, "end": 104.28, "word": " whether", "probability": 0.8154296875}, {"start": 104.28, "end": 104.6, "word": " R", "probability": 0.70703125}, {"start": 104.6, "end": 104.8, "word": " is", "probability": 0.9453125}, {"start": 104.8, "end": 105.44, "word": " reflexive,", "probability": 0.972900390625}, {"start": 105.72, "end": 106.24, "word": " symmetric,", "probability": 0.86279296875}, {"start": 106.58, "end": 107.24, "word": " transitive", "probability": 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طبعا ماعلي اثبات هل هي transitive هل هي symmetric هل هي reflexive او لأ و بدنا نفحص فنبدأ الفحص بالترتيب و نبدأ بال reflexive كهو مراتب روحاني الترتيب مش مهم لكن احنا عرفنا بهذا الشكل مش ضروري فممكن ننتظم بهذا الترتيب R is reflexive", "tokens": [7435, 6027, 11331, 3215, 11778, 1829, 23032, 3555, 3615, 995, 19446, 3615, 20292, 1975, 12984, 3555, 9307, 8032, 1211, 39896, 17976, 488, 8032, 1211, 39896, 32330, 8032, 1211, 39896, 23802, 488, 1975, 2407, 5296, 10721, 4032, 47525, 8315, 8717, 5172, 5016, 9381, 6156, 1863, 44510, 10721, 27188, 5016, 9381, 20666, 2655, 2288, 31371, 3555, 4032, 8717, 44510, 10721, 20666, 23802, 488, 9122, 3224, 2407, 3714, 2288, 9307, 3555, 12602, 2407, 5016, 7649, 1829, 16712, 2288, 31371, 3555, 37893, 3714, 16095, 44381, 1975, 5016, 8315, 6225, 28480, 8315, 39627, 15730, 25124, 28820, 37893, 48812, 2288, 13063, 1829, 6156, 2304, 43020, 8717, 29399, 19913, 2304, 39627, 15730, 16712, 2288, 31371, 3555, 497, 307, 23802, 488], "avg_logprob": -0.22560307383537292, 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"start": 139.01, "end": 167.65, "text": "reflexive طبعا اللي هو H كافق for all x تنتمي لل capital X اللي هي Z في هذا السؤال بدنا إيش XX تكون تنتمي لل R كل عنصر اللي علاقة مع نفسه فده سؤالنا الأول هل هذا صحيح ولا لأ لإن بقول determined فإيش رأيكوا؟ هل كل عدد صحيح علاقة مع نفسه؟ ليش؟ الواحد اللي علاقة مع نفسها نعم السالب واحد اللي علاقة مع نفسها نعم", "tokens": [33115, 2021, 488, 23032, 3555, 3615, 995, 13672, 1829, 31439, 389, 9122, 31845, 4587, 337, 439, 2031, 6055, 29399, 2304, 1829, 24976, 4238, 1783, 13672, 1829, 39896, 1176, 8978, 23758, 21136, 33604, 6027, 47525, 8315, 11933, 1829, 8592, 27050, 6055, 30544, 6055, 29399, 2304, 1829, 24976, 497, 28242, 18871, 9381, 2288, 13672, 1829, 11203, 995, 28671, 20449, 8717, 36178, 3224, 6156, 3215, 3224, 8608, 33604, 6027, 8315, 16247, 12610, 8032, 1211, 23758, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 5296, 28814, 1863, 4724, 39648, 9540, 6156, 28814, 1829, 8592, 12602, 10721, 1829, 4117, 14407, 22807, 8032, 1211, 28242, 6225, 3215, 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-0.2420654222369194, "compression_ratio": 0.7241379310344828, "no_speech_prob": 0.0, "words": [{"start": 168.39, "end": 168.67, "word": "طب", "probability": 0.873779296875}, {"start": 168.67, "end": 169.23, "word": " والباقي؟", "probability": 0.779296875}], "temperature": 1.0}, {"id": 8, "seek": 19896, "start": 170.42, "end": 198.96, "text": "الصفر الشمال اللي ليه علاقة مع نفسه؟ لأ لأن صفر في صفر مش مش positive اه فوين ننتبهه؟ جميع الأعداد الصحيحة مايعدد صفر كل عدد اللي ليه علاقة مع نفسه إلا الصفر مثال واحد يكفي إن هياش not reflexive فإذا نقاشها دي not reflexive ليش؟ 00 لا تنتمي للR ليش؟ لأن 0 ضرب 0 تساوي 0 ليست أكبر من صفر فإذا نقاش العلاقة not reflexive thus", "tokens": [6027, 9381, 5172, 2288, 25124, 2304, 6027, 13672, 1829, 32239, 3224, 11203, 995, 28671, 20449, 8717, 36178, 3224, 22807, 5296, 10721, 5296, 33456, 20328, 5172, 2288, 8978, 20328, 5172, 2288, 37893, 37893, 3353, 1975, 3224, 6156, 2407, 9957, 8717, 29399, 3555, 3224, 3224, 22807, 10874, 2304, 40228, 16247, 22488, 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185.36, "end": 185.76, "word": " فإذا", "probability": 0.8756510416666666}, {"start": 185.76, "end": 186.14, "word": " نقاشها", "probability": 0.6739501953125}, {"start": 186.14, "end": 186.34, "word": " دي", "probability": 0.87353515625}, {"start": 186.34, "end": 186.84, "word": " not", "probability": 0.88818359375}, {"start": 186.84, "end": 187.46, "word": " reflexive", "probability": 0.982666015625}, {"start": 187.46, "end": 187.9, "word": " ليش؟", "probability": 0.7936197916666666}, {"start": 187.9, "end": 188.32, "word": " 00", "probability": 0.495849609375}, {"start": 188.32, "end": 189.34, "word": " لا", "probability": 0.9033203125}, {"start": 189.34, "end": 190.0, "word": " تنتمي", "probability": 0.9857177734375}, {"start": 190.0, "end": 190.48, "word": " للR", "probability": 0.6268310546875}, {"start": 190.48, "end": 191.2, "word": " ليش؟", "probability": 0.89501953125}, {"start": 191.2, "end": 191.5, "word": " لأن", "probability": 0.921875}, {"start": 191.5, "end": 192.04, "word": " 0", "probability": 0.4482421875}, {"start": 192.04, "end": 192.48, "word": " ضرب", "probability": 0.81298828125}, {"start": 192.48, "end": 192.96, "word": " 0", "probability": 0.953125}, {"start": 192.96, "end": 193.58, "word": " تساوي", "probability": 0.761962890625}, {"start": 193.58, "end": 193.94, "word": " 0", "probability": 0.951171875}, {"start": 193.94, "end": 194.76, "word": " ليست", "probability": 0.96240234375}, {"start": 194.76, "end": 195.18, "word": " أكبر", "probability": 0.9832356770833334}, {"start": 195.18, "end": 195.4, "word": " من", "probability": 0.99755859375}, {"start": 195.4, "end": 195.76, "word": " صفر", "probability": 0.873046875}, {"start": 195.76, "end": 196.2, "word": " فإذا", "probability": 0.9586588541666666}, {"start": 196.2, "end": 196.4, "word": " نقاش", "probability": 0.9674479166666666}, {"start": 196.4, "end": 196.92, "word": " العلاقة", "probability": 0.7100423177083334}, {"start": 196.92, "end": 197.4, "word": " not", "probability": 0.9130859375}, {"start": 197.4, "end": 198.36, "word": " reflexive", "probability": 0.984619140625}, {"start": 198.36, "end": 198.96, "word": " thus", "probability": 0.6416015625}], "temperature": 1.0}, {"id": 9, "seek": 22779, "start": 199.71, "end": 227.79, "text": "الـ R is not reflexive بس واحدة تكون مش متحقق لأنه جالي for all ده بأكد عليهش معناه for all طب الواحد اللي علاقة مع نفسه اه سالب واحد اه كل الإعداد إلا الصفر يكفي شوف مثال واحد خلاها مش reflexive لأنه جالي for all لازم يكون كل عنصر في المجموع اللي علاقة مع نفسه طب الصفر ماليش علاقة مع نفسه إذا مختلف الشرط ف it's not reflexive", "tokens": [6027, 39184, 497, 307, 406, 23802, 488, 4724, 3794, 36764, 24401, 3660, 6055, 30544, 37893, 44650, 5016, 4587, 4587, 5296, 33456, 3224, 10874, 6027, 1829, 337, 439, 11778, 3224, 4724, 10721, 4117, 3215, 47356, 8592, 20449, 8315, 3224, 337, 439, 23032, 3555, 2423, 14407, 24401, 13672, 1829, 11203, 995, 28671, 20449, 8717, 36178, 3224, 1975, 3224, 8608, 6027, 3555, 36764, 24401, 1975, 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366.11, "word": " want", "probability": 0.8369140625}], "temperature": 1.0}, {"id": 16, "seek": 38456, "start": 366.84, "end": 384.56, "text": "to prove or to show to prove that Y X تنتمي لل R ممتاز زي ما احنا ممكن نحكي ناشرة فور الان XY في ال R ماذا تعني XY في ال R تعني ان X في Y positive", "tokens": [1353, 7081, 420, 281, 855, 281, 7081, 300, 398, 1783, 6055, 29399, 2304, 1829, 24976, 497, 3714, 2304, 2655, 31377, 30767, 1829, 19446, 1975, 5016, 8315, 3714, 43020, 8717, 5016, 4117, 1829, 8717, 33599, 25720, 6156, 13063, 2423, 7649, 48826, 8978, 2423, 497, 3714, 45636, 995, 37279, 22653, 48826, 8978, 2423, 497, 37279, 22653, 16472, 1783, 8978, 398, 3353], "avg_logprob": -0.2579427073399226, "compression_ratio": 1.4482758620689655, "no_speech_prob": 2.3245811462402344e-06, "words": [{"start": 366.84, "end": 367.04, "word": "to", "probability": 0.5986328125}, {"start": 367.04, "end": 367.46, "word": " prove", "probability": 0.9296875}, {"start": 367.46, "end": 367.66, "word": " or", 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" Transitive", "probability": 0.81884765625}, {"start": 483.77, "end": 484.21, "word": " فإذا", "probability": 0.8850911458333334}, {"start": 484.21, "end": 484.57, "word": " واضح", "probability": 0.9088541666666666}, {"start": 484.57, "end": 484.77, "word": " إنه", "probability": 0.7275390625}, {"start": 484.77, "end": 485.25, "word": " تخمينينا", "probability": 0.7208658854166666}, {"start": 485.25, "end": 485.71, "word": " Transitive", "probability": 0.764404296875}, {"start": 485.71, "end": 486.13, "word": " بتم", "probability": 0.3194580078125}, {"start": 486.13, "end": 486.47, "word": " علينا", "probability": 0.928466796875}, {"start": 486.47, "end": 486.67, "word": " يا", "probability": 0.8046875}, {"start": 486.67, "end": 486.75, "word": " إيش", "probability": 0.9150390625}, {"start": 486.75, "end": 487.37, "word": " نثبت", "probability": 0.8984375}], "temperature": 1.0}, {"id": 21, "seek": 49421, "start": 487.53, "end": 494.21, "text": "فإذا إيش؟ إيش؟ R is transitive اه نعملها proof", "tokens": [5172, 28814, 15730, 11933, 1829, 8592, 22807, 11933, 1829, 8592, 22807, 497, 307, 1145, 2187, 1975, 3224, 8717, 25957, 1211, 11296, 8177], "avg_logprob": -0.43987771479979804, "compression_ratio": 0.9850746268656716, "no_speech_prob": 0.0, "words": [{"start": 487.53, "end": 487.83, "word": "فإذا", "probability": 0.7882486979166666}, {"start": 487.83, "end": 488.43, "word": " إيش؟", "probability": 0.64752197265625}, {"start": 488.43, "end": 489.05, "word": " إيش؟", "probability": 0.80657958984375}, {"start": 489.05, "end": 489.41, "word": " R", "probability": 0.30029296875}, {"start": 489.41, "end": 490.17, "word": " is", "probability": 0.87451171875}, {"start": 490.17, "end": 491.49, "word": " transitive", "probability": 0.741455078125}, {"start": 491.49, "end": 493.29, "word": " اه", "probability": 0.5269775390625}, {"start": 493.29, "end": 493.83, "word": " نعملها", "probability": 0.815673828125}, {"start": 493.83, "end": 494.21, "word": " proof", "probability": 0.80224609375}], "temperature": 1.0}, {"id": 22, "seek": 51874, "start": 496.04, "end": 518.74, "text": "لهذا الكلام فاحنا قدرنا نخمن انها transit لو ماقدرناش نخمن بنحاول نثبت بس انا بتدعي نتعلم كي بننبرهم نيجي نشوف ايش التعريف جملة شرطية ببدأ الوراني ان افترض ان الشرط صحيح فحقوله assume او let نفس المعنى ايش xy في الار and yz في الار", "tokens": [1211, 3224, 15730, 2423, 28820, 10943, 6156, 39319, 8315, 12174, 3215, 2288, 8315, 8717, 9778, 27842, 16472, 11296, 17976, 45164, 19446, 28543, 2288, 8315, 8592, 8717, 9778, 27842, 44945, 5016, 995, 12610, 8717, 12984, 3555, 2655, 4724, 3794, 1975, 8315, 39894, 3215, 3615, 1829, 8717, 2655, 3615, 19528, 9122, 1829, 44945, 1863, 26890, 16095, 8717, 1829, 7435, 1829, 8717, 8592, 38688, 1975, 1829, 8592, 16712, 3615, 16572, 5172, 10874, 2304, 37977, 13412, 2288, 9566, 10632, 4724, 44510, 10721, 2423, 13063, 7649, 1829, 16472, 1975, 5172, 2655, 43042, 16472, 25124, 2288, 9566, 20328, 5016, 1829, 5016, 6156, 5016, 39648, 3224, 6552, 1975, 2407, 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"word": " صحيحة", "probability": 0.89638671875}, {"start": 1765.37, "end": 1765.75, "word": " خواص", "probability": 0.9055989583333334}, {"start": 1765.75, "end": 1766.15, "word": " الأعداد", "probability": 0.86669921875}, {"start": 1766.15, "end": 1766.63, "word": " الصحيحة", "probability": 0.96796875}], "temperature": 1.0}, {"id": 76, "seek": 178759, "start": 1770.85, "end": 1787.59, "text": "واضح؟ في أي صعوبة في الخطوات؟ متابعين؟ نجي للخاصية التالتة والاخيرة التعدى R is transitive", "tokens": [2407, 46958, 5016, 22807, 8978, 36632, 20328, 3615, 37746, 3660, 8978, 33962, 9566, 2407, 9307, 22807, 44650, 16758, 3615, 9957, 22807, 8717, 7435, 1829, 24976, 9778, 33546, 10632, 16712, 6027, 2655, 3660, 16070, 47283, 48923, 16712, 22488, 7578, 497, 307, 1145, 2187], "avg_logprob": -0.27380086100378703, "compression_ratio": 1.2644628099173554, "no_speech_prob": 0.0, "words": [{"start": 1770.85, "end": 1772.25, "word": "واضح؟", "probability": 0.9046630859375}, {"start": 1772.25, "end": 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"word": " القطوات", "probability": 0.8936767578125}, {"start": 2093.38, "end": 2093.46, "word": " و", "probability": 0.449951171875}, {"start": 2093.46, "end": 2093.76, "word": " التعميم", "probability": 0.8221028645833334}, {"start": 2093.76, "end": 2094.0, "word": " بكون", "probability": 0.845947265625}, {"start": 2094.0, "end": 2094.28, "word": " سهل", "probability": 0.9949544270833334}, {"start": 2094.28, "end": 2094.56, "word": " جدا", "probability": 0.99658203125}, {"start": 2094.56, "end": 2095.5, "word": " خلينا", "probability": 0.7093505859375}, {"start": 2095.5, "end": 2095.68, "word": " نشوف", "probability": 0.9720052083333334}, {"start": 2095.68, "end": 2096.02, "word": " مثال", "probability": 0.97021484375}, {"start": 2096.02, "end": 2096.52, "word": " جديد", "probability": 0.9934895833333334}], "temperature": 1.0}, {"id": 90, "seek": 212607, "start": 2097.31, "end": 2126.07, "text": "تلاتة مثال التالت let R الآن بدل الفرق قال خلينا ناخد المجموع بيسوي تلاتة K for some K determine الآن هل بالتامها equivalence relation ولا لأ فبقول لي هل اللي هي reflexive؟ هل هي symmetric؟ هل هي transitive or not؟ هنا سؤال prove or disprove أه إيش رأيكوا؟ فده المثال التالت لو غيرنا بدل الطرح عملناها جمع ليش؟ إيش اللي اختلف؟", "tokens": [2655, 1211, 9307, 3660, 50113, 6027, 16712, 6027, 2655, 718, 497, 6024, 48506, 47525, 1211, 27188, 2288, 4587, 50239, 16490, 20292, 8315, 8717, 47283, 3215, 9673, 7435, 2304, 45367, 4724, 1829, 3794, 45865, 6055, 1211, 9307, 3660, 591, 337, 512, 591, 6997, 6024, 48506, 8032, 1211, 20666, 2655, 10943, 11296, 9052, 655, 9721, 49429, 5296, 10721, 6156, 3555, 39648, 32239, 8032, 1211, 13672, 1829, 39896, 23802, 488, 22807, 8032, 1211, 39896, 32330, 22807, 8032, 1211, 39896, 1145, 2187, 420, 406, 22807, 34105, 8608, 33604, 6027, 7081, 420, 717, 46955, 5551, 3224, 11933, 1829, 8592, 12602, 10721, 1829, 4117, 14407, 22807, 6156, 3215, 3224, 9673, 12984, 6027, 16712, 6027, 2655, 45164, 32771, 13546, 8315, 47525, 1211, 41950, 2288, 5016, 6225, 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disprove", "probability": 0.761962890625}, {"start": 2118.19, "end": 2118.41, "word": " أه", "probability": 0.50146484375}, {"start": 2118.41, "end": 2118.63, "word": " إيش", "probability": 0.8741861979166666}, {"start": 2118.63, "end": 2119.57, "word": " رأيكوا؟", "probability": 0.91455078125}, {"start": 2119.57, "end": 2119.87, "word": " فده", "probability": 0.89599609375}, {"start": 2119.87, "end": 2120.23, "word": " المثال", "probability": 0.9658203125}, {"start": 2120.23, "end": 2120.75, "word": " التالت", "probability": 0.9246419270833334}, {"start": 2120.75, "end": 2121.09, "word": " لو", "probability": 0.84228515625}, {"start": 2121.09, "end": 2121.63, "word": " غيرنا", "probability": 0.94091796875}, {"start": 2121.63, "end": 2121.89, "word": " بدل", "probability": 0.982177734375}, {"start": 2121.89, "end": 2122.39, "word": " الطرح", "probability": 0.94140625}, {"start": 2122.39, "end": 2123.45, "word": " عملناها", "probability": 0.952392578125}, {"start": 2123.45, "end": 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بشكل سريع أنه هي equivalence ولا لأ مش equivalence إذا في واحدة على الأقل reflexive قولنا لأ بسهولة فإذا مش reflexive أه هل R reflexive؟ No ليش؟ مثال عكسي واحد واحد لا تنتمي لل R ليش؟ since واحد زائد واحد لا تساوي تلاتة K for all K تنتمي لل Z مستحيل تكون تقبل قصبة على تلاتة", "tokens": [40228, 22653, 1975, 5016, 8315, 7251, 43020, 10874, 995, 37746, 8315, 4724, 8592, 28820, 8608, 16572, 3615, 14739, 3224, 39896, 9052, 655, 49429, 5296, 10721, 37893, 9052, 655, 11933, 15730, 8978, 36764, 24401, 3660, 15844, 16247, 4587, 1211, 23802, 488, 12174, 12610, 8315, 5296, 10721, 4724, 3794, 3224, 12610, 3660, 6156, 28814, 15730, 37893, 23802, 488, 5551, 3224, 8032, 1211, 497, 23802, 488, 22807, 883, 32239, 8592, 22807, 50113, 6027, 6225, 4117, 3794, 1829, 36764, 24401, 36764, 24401, 20193, 6055, 29399, 2304, 1829, 24976, 497, 32239, 8592, 22807, 1670, 36764, 24401, 30767, 16373, 3215, 36764, 24401, 20193, 6055, 3794, 995, 45865, 6055, 1211, 9307, 3660, 591, 337, 439, 591, 6055, 29399, 2304, 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"word": " اربعة", "probability": 0.8790690104166666}, {"start": 2518.54, "end": 2518.88, "word": " كذا", "probability": 0.51806640625}, {"start": 2518.88, "end": 2519.04, "word": " لكن", "probability": 0.70703125}, {"start": 2519.04, "end": 2519.18, "word": " بده", "probability": 0.843994140625}, {"start": 2519.18, "end": 2519.44, "word": " انتبه", "probability": 0.9437255859375}, {"start": 2519.44, "end": 2519.88, "word": " تتأكد", "probability": 0.94150390625}, {"start": 2519.88, "end": 2520.06, "word": " انه", "probability": 0.89306640625}, {"start": 2520.06, "end": 2520.3, "word": " فعلا", "probability": 0.87353515625}, {"start": 2520.3, "end": 2520.42, "word": " في", "probability": 0.88134765625}, {"start": 2520.42, "end": 2520.54, "word": " ال", "probability": 0.96435546875}, {"start": 2520.54, "end": 2520.72, "word": " R", "probability": 0.65380859375}, {"start": 2520.72, "end": 2521.06, "word": " مش", "probability": 0.93896484375}, {"start": 2521.06, "end": 2521.22, "word": " بده", "probability": 0.80224609375}, {"start": 2521.22, "end": 2521.38, "word": " اكتب", "probability": 0.9459228515625}, {"start": 2521.38, "end": 2521.68, "word": " كلام", "probability": 0.949951171875}, {"start": 2521.68, "end": 2521.8, "word": " مش", "probability": 0.57958984375}, {"start": 2521.8, "end": 2522.06, "word": " اه", "probability": 0.687255859375}, {"start": 2522.06, "end": 2522.62, "word": " فانتكون", "probability": 0.6064453125}, {"start": 2522.62, "end": 2523.22, "word": " المجموع", "probability": 0.97509765625}, {"start": 2523.22, "end": 2523.6, "word": " من", "probability": 0.99462890625}, {"start": 2523.6, "end": 2524.08, "word": " مضاعفات", "probability": 0.967578125}, {"start": 2524.08, "end": 2524.6, "word": " التلاتة", "probability": 0.9930419921875}, {"start": 2524.6, "end": 2525.0, "word": " فإذا", "probability": 0.853515625}, {"start": 2525.0, "end": 2525.28, "word": " هذه", "probability": 0.185302734375}, {"start": 2525.28, "end": 2525.62, "word": " فعلا", "probability": 0.94873046875}, {"start": 2525.62, "end": 2525.88, "word": " انها", "probability": 0.38714599609375}, {"start": 2525.88, "end": 2526.08, "word": " not", "probability": 0.78955078125}, {"start": 2526.08, "end": 2526.24, "word": " a", "probability": 0.52099609375}, {"start": 2526.24, "end": 2526.5, "word": " transit", "probability": 0.440673828125}], "temperature": 1.0}, {"id": 108, "seek": 254635, "start": 2527.55, "end": 2546.35, "text": "واضح فينيو مثال جيد انه حاولنا نبرهن و من البرهان لما لاجينا فيه صعوبة عرفنا كيف نجيب المثال العكسي كمان بساعد مثال جديد", "tokens": [2407, 46958, 5016, 6156, 9957, 1829, 2407, 50113, 6027, 10874, 25708, 16472, 3224, 11331, 995, 12610, 8315, 8717, 26890, 3224, 1863, 4032, 9154, 2423, 26890, 3224, 7649, 5296, 15042, 5296, 26108, 1829, 8315, 8978, 3224, 20328, 3615, 37746, 3660, 6225, 28480, 8315, 9122, 33911, 8717, 7435, 1829, 3555, 9673, 12984, 6027, 18863, 4117, 3794, 1829, 9122, 2304, 7649, 4724, 3794, 995, 22488, 50113, 6027, 10874, 16254, 3215], "avg_logprob": -0.13556985359858065, "compression_ratio": 1.6390977443609023, "no_speech_prob": 0.0, "words": [{"start": 2527.55, "end": 2528.09, "word": "واضح", "probability": 0.99072265625}, {"start": 2528.09, "end": 2528.93, "word": " فينيو", "probability": 0.52496337890625}, {"start": 2528.93, "end": 2529.55, "word": " مثال", "probability": 0.989501953125}, {"start": 2529.55, "end": 2530.05, "word": " جيد", "probability": 0.987548828125}, {"start": 2530.05, "end": 2530.47, "word": " انه", "probability": 0.7381591796875}, {"start": 2530.47, "end": 2530.89, "word": " حاولنا", "probability": 0.970703125}, {"start": 2530.89, "end": 2531.47, "word": " نبرهن", "probability": 0.9534912109375}, {"start": 2531.47, "end": 2531.73, "word": " و", "probability": 0.9375}, {"start": 2531.73, "end": 2531.89, "word": " من", "probability": 0.6806640625}, {"start": 2531.89, "end": 2532.59, "word": " البرهان", "probability": 0.9111328125}, {"start": 2532.59, "end": 2533.01, "word": " لما", "probability": 0.886474609375}, {"start": 2533.01, "end": 2533.37, "word": " لاجينا", "probability": 0.7945556640625}, {"start": 2533.37, "end": 2533.57, "word": " فيه", "probability": 0.93017578125}, {"start": 2533.57, "end": 2533.85, "word": " صعوبة", "probability": 0.88818359375}, {"start": 2533.85, "end": 2534.17, "word": " عرفنا", "probability": 0.951171875}, {"start": 2534.17, "end": 2534.35, "word": " كيف", "probability": 0.984619140625}, {"start": 2534.35, "end": 2534.59, "word": " نجيب", "probability": 0.9886474609375}, {"start": 2534.59, "end": 2534.89, "word": " المثال", "probability": 0.8771158854166666}, {"start": 2534.89, "end": 2535.35, "word": " العكسي", "probability": 0.872802734375}, {"start": 2535.35, "end": 2535.65, "word": " كمان", "probability": 0.91748046875}, {"start": 2535.65, "end": 2536.65, "word": " بساعد", "probability": 0.820556640625}, {"start": 2536.65, "end": 2545.81, "word": " مثال", "probability": 0.8896484375}, {"start": 2545.81, "end": 2546.35, "word": " جديد", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 109, "seek": 257275, "start": 2549.61, "end": 2572.75, "text": "let R be a relation on a set X prove that R is reflexive if and only if ال diagonal relation subset من R فخلينا نعيد السؤال R is reflexive if and only if delta X subset من R هذا هو المطلوب", "tokens": [2631, 497, 312, 257, 9721, 322, 257, 992, 1783, 7081, 300, 497, 307, 23802, 488, 498, 293, 787, 498, 2423, 21539, 9721, 25993, 9154, 497, 6156, 9778, 1211, 9957, 995, 8717, 3615, 25708, 21136, 33604, 6027, 497, 307, 23802, 488, 498, 293, 787, 498, 8289, 1783, 25993, 9154, 497, 23758, 31439, 9673, 9566, 1211, 37746], "avg_logprob": -0.23172433621117047, "compression_ratio": 1.4701986754966887, "no_speech_prob": 0.0, "words": [{"start": 2549.61, "end": 2549.93, "word": "let", "probability": 0.130126953125}, {"start": 2549.93, "end": 2550.45, "word": " R", "probability": 0.716796875}, {"start": 2550.45, "end": 2551.13, "word": " be", 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{"start": 2557.39, "end": 2557.71, "word": " and", "probability": 0.953125}, {"start": 2557.71, "end": 2558.09, "word": " only", "probability": 0.91455078125}, {"start": 2558.09, "end": 2558.41, "word": " if", "probability": 0.9658203125}, {"start": 2558.41, "end": 2558.95, "word": " ال", "probability": 0.466796875}, {"start": 2558.95, "end": 2559.37, "word": " diagonal", "probability": 0.186767578125}, {"start": 2559.37, "end": 2560.01, "word": " relation", "probability": 0.986328125}, {"start": 2560.01, "end": 2560.41, "word": " subset", "probability": 0.87646484375}, {"start": 2560.41, "end": 2560.67, "word": " من", "probability": 0.98681640625}, {"start": 2560.67, "end": 2560.99, "word": " R", "probability": 0.578125}, {"start": 2560.99, "end": 2561.75, "word": " فخلينا", "probability": 0.66767578125}, {"start": 2561.75, "end": 2562.15, "word": " نعيد", "probability": 0.98388671875}, {"start": 2562.15, "end": 2562.91, "word": " السؤال", "probability": 0.9889322916666666}, {"start": 2562.91, "end": 2563.83, "word": " R", "probability": 0.599609375}, {"start": 2563.83, "end": 2565.01, "word": " is", "probability": 0.9501953125}, {"start": 2565.01, "end": 2566.69, "word": " reflexive", "probability": 0.977783203125}, {"start": 2566.69, "end": 2568.41, "word": " if", "probability": 0.73193359375}, {"start": 2568.41, "end": 2568.75, "word": " and", "probability": 0.9580078125}, {"start": 2568.75, "end": 2569.11, "word": " only", "probability": 0.91650390625}, {"start": 2569.11, "end": 2569.61, "word": " if", "probability": 0.96435546875}, {"start": 2569.61, "end": 2570.19, "word": " delta", "probability": 0.291748046875}, {"start": 2570.19, "end": 2570.63, "word": " X", "probability": 0.84375}, {"start": 2570.63, "end": 2571.31, "word": " subset", "probability": 0.90673828125}, {"start": 2571.31, "end": 2571.65, "word": " من", "probability": 0.99365234375}, {"start": 2571.65, "end": 2571.91, "word": " R", "probability": 0.98583984375}, {"start": 2571.91, "end": 2572.13, "word": " هذا", "probability": 0.7314453125}, {"start": 2572.13, "end": 2572.29, "word": " هو", "probability": 0.98388671875}, {"start": 2572.29, "end": 2572.75, "word": " المطلوب", "probability": 0.9876708984375}], "temperature": 1.0}, {"id": 110, "seek": 260571, "start": 2576.15, "end": 2605.71, "text": "فزي ما انتوا شايفين المنهج واحد طبعا فيه اختلاف في التفاصيل فالمطلوب prove that جملة ايش ثنائية الشرطية فبدنا نعملها two parts prove اه فطبعا ممكن اكتب I will want او على طول مباشرة واحد للاتجاه الاول R is reflexive implies Delta X subset من ال R هذا المطلوب الجزء الاول من two parts prove", "tokens": [5172, 11622, 1829, 19446, 16472, 2655, 14407, 13412, 995, 33911, 9957, 9673, 1863, 3224, 7435, 36764, 24401, 23032, 3555, 3615, 995, 8978, 3224, 1975, 46456, 15040, 5172, 8978, 16712, 5172, 33546, 26895, 6156, 45340, 9566, 1211, 37746, 7081, 300, 10874, 2304, 37977, 1975, 1829, 8592, 38637, 1863, 16373, 10632, 25124, 2288, 9566, 10632, 6156, 44510, 8315, 8717, 25957, 1211, 11296, 732, 3166, 7081, 1975, 3224, 6156, 9566, 3555, 3615, 995, 3714, 43020, 1975, 4117, 2655, 3555, 286, 486, 528, 1975, 2407, 15844, 23032, 12610, 3714, 3555, 33599, 25720, 36764, 24401, 24976, 9307, 7435, 40294, 42963, 12610, 497, 307, 23802, 488, 18779, 18183, 1783, 25993, 9154, 2423, 497, 23758, 9673, 9566, 1211, 37746, 25724, 11622, 38207, 42963, 12610, 9154, 732, 3166, 7081], "avg_logprob": -0.15356045216321945, "compression_ratio": 1.6470588235294117, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2576.15, "end": 2576.93, "word": "فزي", "probability": 0.79345703125}, {"start": 2576.93, "end": 2577.05, "word": " ما", "probability": 0.92919921875}, {"start": 2577.05, "end": 2577.21, "word": " انتوا", "probability": 0.8024088541666666}, {"start": 2577.21, "end": 2577.65, "word": " شايفين", "probability": 0.975341796875}, {"start": 2577.65, "end": 2578.63, "word": " المنهج", "probability": 0.925048828125}, {"start": 2578.63, "end": 2579.31, "word": " واحد", "probability": 0.887451171875}, {"start": 2579.31, "end": 2580.11, "word": " طبعا", "probability": 0.912841796875}, {"start": 2580.11, "end": 2580.83, "word": " فيه", "probability": 0.630126953125}, {"start": 2580.83, "end": 2581.43, "word": " اختلاف", "probability": 0.920654296875}, {"start": 2581.43, "end": 2581.65, "word": " في", "probability": 0.89013671875}, {"start": 2581.65, "end": 2582.23, "word": " التفاصيل", "probability": 0.9793701171875}, {"start": 2582.23, "end": 2583.47, "word": " فالمطلوب", "probability": 0.97333984375}, {"start": 2583.47, "end": 2583.95, "word": " prove", "probability": 0.6728515625}, {"start": 2583.95, "end": 2584.37, "word": " that", "probability": 0.921875}, {"start": 2584.37, "end": 2585.09, "word": " جملة", "probability": 0.9583333333333334}, {"start": 2585.09, "end": 2585.75, "word": " ايش", "probability": 0.640625}, {"start": 2585.75, "end": 2586.37, "word": " ثنائية", "probability": 0.9481201171875}, {"start": 2586.37, "end": 2587.05, "word": " 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2605.31, "word": " parts", "probability": 0.90380859375}, {"start": 2605.31, "end": 2605.71, "word": " prove", "probability": 0.89453125}], "temperature": 1.0}, {"id": 111, "seek": 263427, "start": 2609.23, "end": 2634.27, "text": "فانا بحاول يعني أنوى شوية عشان لو شفته في كتاب ما تستغربوش كيف بكتبه هو نفس الأشياء لكن أحيانا طريقة التعبير بتختلف لكن كله بيصب في نفس القالب الحقيقة نفس الموضوع ممتاز جملة شرطية إيش هنعمل اشترض إن الشرط صحيح و اثبت جواب الشرط فقوله assume أولت نفس المعنى تستخدم مع نفس الاصطلاع assume R is reflexive", "tokens": [5172, 7649, 995, 4724, 5016, 995, 12610, 37495, 22653, 14739, 2407, 7578, 13412, 2407, 10632, 6225, 8592, 7649, 45164, 13412, 5172, 47395, 8978, 9122, 2655, 16758, 19446, 6055, 14851, 17082, 25513, 2407, 8592, 9122, 33911, 4724, 4117, 2655, 3555, 3224, 31439, 8717, 36178, 16247, 8592, 1829, 16606, 44381, 5551, 5016, 1829, 7649, 995, 23032, 16572, 28671, 16712, 3615, 3555, 13546, 39894, 46456, 46538, 44381, 28242, 3224, 4724, 1829, 9381, 3555, 8978, 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