diff --git "a/PL9fwy3NUQKwZ_fogpdAdMdObPzyKLyONA/RfkTkQEL2Xs_raw.json" "b/PL9fwy3NUQKwZ_fogpdAdMdObPzyKLyONA/RfkTkQEL2Xs_raw.json"
new file mode 100644--- /dev/null
+++ "b/PL9fwy3NUQKwZ_fogpdAdMdObPzyKLyONA/RfkTkQEL2Xs_raw.json"
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4134, "start": 19.94, "end": 41.34, "text": "بسم الله الرحمن الرحيم احنا ان شاء الله هنواصل مع العلاقات relations ارجو انه نكون دايما متذكرين حاطين في عقولنا التعريف البسيط جدا للعلاقة هي ليست الا subset من ال Cartesian product فانا بقول relation are من مجموعة ما A", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 1975, 5016, 8315, 16472, 13412, 16606, 21984, 8032, 1863, 2407, 33546, 1211, 20449, 18863, 15040, 4587, 9307, 2299, 1975, 47341, 2407, 16472, 3224, 8717, 30544, 11778, 47302, 15042, 44650, 8848, 37983, 9957, 11331, 41193, 9957, 8978, 6225, 39648, 8315, 16712, 3615, 16572, 5172, 29739, 3794, 1829, 9566, 10874, 28259, 24976, 3615, 15040, 28671, 39896, 32239, 14851, 42963, 25993, 9154, 2423, 22478, 42434, 1674, 6156, 7649, 995, 4724, 39648, 9721, 366, 9154, 3714, 7435, 2304, 2407, 27884, 19446, 316], "avg_logprob": -0.11816406588662755, "compression_ratio": 1.6574074074074074, "no_speech_prob": 3.5762786865234375e-07, 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مع بعض ونشوف كيف بدنا نوضحه أو ايش اللي هو التعليقات الموجودة عليه نبدأ القراءة زي ما اتعلمنا كيف نقرأ تعريف كيف نقرأ نظرية كيف نقرأ مسألة ما مثال أو سؤال تقريبا نفس السياسة فببدأ بالمقدمة", "tokens": [44510, 10721, 8315, 8717, 8592, 38688, 45030, 11242, 16247, 2304, 12984, 37977, 4032, 2407, 36520, 8315, 5296, 19528, 12984, 6027, 34892, 16758, 3615, 9673, 12984, 6027, 34892, 16758, 3615, 16490, 20292, 8315, 8717, 4587, 2288, 10721, 3224, 20449, 45030, 11242, 4032, 1863, 8592, 38688, 9122, 33911, 47525, 8315, 8717, 2407, 11242, 5016, 3224, 34051, 1975, 1829, 8592, 13672, 1829, 31439, 16712, 3615, 20292, 4587, 9307, 9673, 29245, 23328, 3660, 47356, 8717, 44510, 10721, 25062, 2288, 16606, 3660, 30767, 1829, 19446, 1975, 2655, 3615, 19528, 8315, 9122, 33911, 8717, 4587, 2288, 10721, 37279, 16572, 5172, 9122, 33911, 8717, 4587, 2288, 10721, 8717, 19913, 2288, 10632, 9122, 33911, 8717, 4587, 2288, 10721, 47524, 10721, 37977, 19446, 50113, 6027, 34051, 8608, 33604, 6027, 6055, 4587, 16572, 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"word": " نظرية", "probability": 0.986328125}, {"start": 88.06, "end": 88.44, "word": " كيف", "probability": 0.869140625}, {"start": 88.44, "end": 88.76, "word": " نقرأ", "probability": 0.9940185546875}, {"start": 88.76, "end": 89.22, "word": " مسألة", "probability": 0.85986328125}, {"start": 89.22, "end": 89.48, "word": " ما", "probability": 0.79931640625}, {"start": 89.48, "end": 90.04, "word": " مثال", "probability": 0.994384765625}, {"start": 90.04, "end": 90.22, "word": " أو", "probability": 0.63232421875}, {"start": 90.22, "end": 90.66, "word": " سؤال", "probability": 0.9923502604166666}, {"start": 90.66, "end": 91.46, "word": " تقريبا", "probability": 0.98671875}, {"start": 91.46, "end": 91.68, "word": " نفس", "probability": 0.993896484375}, {"start": 91.68, "end": 92.34, "word": " السياسة", "probability": 0.9698486328125}, {"start": 92.34, "end": 92.98, "word": " فببدأ", "probability": 0.80419921875}, {"start": 92.98, "end": 93.62, "word": " بالمقدمة", "probability": 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43242, 8315, 316], "avg_logprob": -0.2039850961177721, "compression_ratio": 1.60352422907489, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 94.08, "end": 94.34, "word": "let", "probability": 0.3125}, {"start": 94.34, "end": 94.8, "word": " R", "probability": 0.67236328125}, {"start": 94.8, "end": 94.96, "word": " be", "probability": 0.389404296875}, {"start": 94.96, "end": 95.2, "word": " a", "probability": 0.86572265625}, {"start": 95.2, "end": 95.72, "word": " relation", "probability": 0.9853515625}, {"start": 95.72, "end": 96.18, "word": " from", "probability": 0.85791015625}, {"start": 96.18, "end": 96.52, "word": " A", "probability": 0.9404296875}, {"start": 96.52, "end": 96.7, "word": " to", "probability": 0.9794921875}, {"start": 96.7, "end": 96.94, "word": " B", "probability": 0.9775390625}, {"start": 96.94, "end": 97.34, "word": " إذا", "probability": 0.355499267578125}, {"start": 97.34, "end": 97.56, "word": " أنا", "probability": 0.7490234375}, {"start": 97.56, "end": 97.94, "word": " فيه", "probability": 0.7666015625}, {"start": 97.94, "end": 98.1, "word": " الـ", "probability": 0.907470703125}, {"start": 98.1, "end": 98.3, "word": " R", "probability": 0.67822265625}, {"start": 98.3, "end": 98.52, "word": " هي", "probability": 0.171142578125}, {"start": 98.52, "end": 98.66, "word": " دي", "probability": 0.83935546875}, {"start": 98.66, "end": 99.06, "word": " ترمز", "probability": 0.966064453125}, {"start": 99.06, "end": 99.98, "word": " لعلاقة", "probability": 0.881591796875}, {"start": 99.98, "end": 100.38, "word": " من", "probability": 0.71484375}, {"start": 100.38, "end": 101.1, "word": " مجموعة", "probability": 0.9431640625}, {"start": 101.1, "end": 101.68, "word": " capital", "probability": 0.74267578125}, {"start": 101.68, "end": 101.98, "word": " A", "probability": 0.95947265625}, {"start": 101.98, "end": 102.6, "word": " لمجموعة", "probability": 0.8964029947916666}, {"start": 102.6, "end": 102.96, "word": " أخرى", "probability": 0.9405924479166666}, {"start": 102.96, "end": 103.2, "word": " capital", "probability": 0.76220703125}, {"start": 103.2, "end": 103.58, "word": " B", "probability": 0.94921875}, {"start": 103.58, "end": 104.36, "word": " and", "probability": 0.77880859375}, {"start": 104.36, "end": 104.74, "word": " let", "probability": 0.93994140625}, {"start": 104.74, "end": 105.26, "word": " D", "probability": 0.6416015625}, {"start": 105.26, "end": 105.96, "word": " subset", "probability": 0.94189453125}, {"start": 105.96, "end": 106.46, "word": " من", "probability": 0.99462890625}, {"start": 106.46, "end": 106.64, "word": " ال", "probability": 0.853515625}, {"start": 106.64, "end": 106.88, "word": " A", "probability": 0.48876953125}, {"start": 106.88, "end": 107.66, "word": " وأخد", "probability": 0.82861328125}, {"start": 107.66, "end": 108.22, "word": " مجموعة", "probability": 0.94052734375}, {"start": 108.22, "end": 108.8, "word": " جزئية", "probability": 0.945068359375}, {"start": 108.8, "end": 108.96, "word": " من", "probability": 0.99365234375}, {"start": 108.96, "end": 109.62, "word": " المجموعة", "probability": 0.8962890625}, {"start": 109.62, "end": 109.94, "word": " A", "probability": 0.92041015625}, {"start": 109.94, "end": 110.4, "word": " المجموعة", "probability": 0.90166015625}, {"start": 110.4, "end": 110.88, "word": " الأولى", "probability": 0.9928385416666666}, {"start": 110.88, "end": 111.38, "word": " ممكن", "probability": 0.62451171875}, {"start": 111.38, "end": 111.64, "word": " طبعا", "probability": 0.9403076171875}, {"start": 111.64, "end": 111.96, "word": " الإنسان", "probability": 0.84088134765625}, {"start": 111.96, "end": 112.88, "word": " يحاول", "probability": 0.77825927734375}, {"start": 112.88, "end": 113.62, "word": " يفهم", "probability": 0.98779296875}, {"start": 113.62, "end": 114.16, "word": " السؤال", "probability": 0.99658203125}, {"start": 114.16, "end": 114.64, "word": " يرسم", "probability": 0.94775390625}, {"start": 114.64, "end": 115.22, "word": " هي", "probability": 0.5283203125}, {"start": 115.22, "end": 116.24, "word": " عندنا", "probability": 0.685302734375}, {"start": 116.24, "end": 116.64, "word": " A", "probability": 0.93603515625}], "temperature": 1.0}, {"id": 5, "seek": 13896, "start": 121.62, "end": 138.96, "text": "في عندنا مجموعة A و في عندنا مجموعة B و في عندنا relation بينهم و في عندنا هنا مجموعة جزئية D صفصف من ال A يمكن تساعدنا في الفهم و هكذا طيب ماشي اه الآن بيقولي by the restriction of R to D we mean", "tokens": [41185, 43242, 8315, 3714, 7435, 2304, 2407, 27884, 316, 4032, 8978, 43242, 8315, 3714, 7435, 2304, 2407, 27884, 363, 4032, 8978, 43242, 8315, 9721, 49374, 16095, 4032, 8978, 43242, 8315, 34105, 3714, 7435, 2304, 2407, 27884, 10874, 11622, 19986, 10632, 413, 20328, 5172, 9381, 5172, 9154, 2423, 316, 7251, 43020, 6055, 3794, 995, 22488, 8315, 8978, 27188, 16095, 4032, 8032, 4117, 15730, 23032, 1829, 3555, 3714, 33599, 1829, 1975, 3224, 6024, 48506, 4724, 1829, 39648, 1829, 538, 264, 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" في", "probability": 0.69384765625}, {"start": 125.36, "end": 125.64, "word": " عندنا", "probability": 0.971923828125}, {"start": 125.64, "end": 126.14, "word": " relation", "probability": 0.85302734375}, {"start": 126.14, "end": 127.3, "word": " بينهم", "probability": 0.9638671875}, {"start": 127.3, "end": 127.6, "word": " و", "probability": 0.91943359375}, {"start": 127.6, "end": 127.76, "word": " في", "probability": 0.82421875}, {"start": 127.76, "end": 128.16, "word": " عندنا", "probability": 0.982421875}, {"start": 128.16, "end": 128.36, "word": " هنا", "probability": 0.71875}, {"start": 128.36, "end": 128.74, "word": " مجموعة", "probability": 0.89052734375}, {"start": 128.74, "end": 129.24, "word": " جزئية", "probability": 0.928466796875}, {"start": 129.24, "end": 129.4, "word": " D", "probability": 0.94873046875}, {"start": 129.4, "end": 129.82, "word": " صفصف", "probability": 0.700286865234375}, {"start": 129.82, "end": 129.98, "word": " من", "probability": 0.984375}, {"start": 129.98, "end": 130.1, "word": " ال", "probability": 0.798828125}, {"start": 130.1, "end": 130.24, "word": " A", "probability": 0.642578125}, {"start": 130.24, "end": 130.8, "word": " يمكن", "probability": 0.7626953125}, {"start": 130.8, "end": 131.32, "word": " تساعدنا", "probability": 0.97802734375}, {"start": 131.32, "end": 131.44, "word": " في", "probability": 0.9130859375}, {"start": 131.44, "end": 131.88, "word": " الفهم", "probability": 0.9814453125}, {"start": 131.88, "end": 132.44, "word": " و", "probability": 0.7353515625}, {"start": 132.44, "end": 133.56, "word": " هكذا", "probability": 0.90771484375}, {"start": 133.56, "end": 133.86, "word": " طيب", "probability": 0.95166015625}, {"start": 133.86, "end": 134.64, "word": " ماشي", "probability": 0.9567057291666666}, {"start": 134.64, "end": 135.1, "word": " اه", "probability": 0.643310546875}, {"start": 135.1, "end": 135.3, "word": " الآن", "probability": 0.58612060546875}, {"start": 135.3, "end": 135.64, "word": " بيقولي", "probability": 0.7333984375}, {"start": 135.64, "end": 135.88, "word": " by", "probability": 0.7119140625}, {"start": 135.88, "end": 136.1, "word": " the", "probability": 0.91455078125}, {"start": 136.1, "end": 136.74, "word": " restriction", "probability": 0.88330078125}, {"start": 136.74, "end": 137.18, "word": " of", "probability": 0.91455078125}, {"start": 137.18, "end": 137.68, "word": " R", "probability": 0.890625}, {"start": 137.68, "end": 137.92, "word": " to", "probability": 0.91064453125}, {"start": 137.92, "end": 138.26, "word": " D", "probability": 0.98828125}, {"start": 138.26, "end": 138.64, "word": " we", "probability": 0.69677734375}, {"start": 138.64, "end": 138.96, "word": " mean", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 6, "seek": 15890, "start": 139.54, "end": 158.9, "text": "إيش جاعت بالدينة؟ بالدينة تعريف جوا السؤال اشي طبعا ده غريب؟ ممنوع؟ أه لأ مش ممنوع لإن احنا بنطور طالب كيف يفهم يعني انت مش ضروري كل شيء في المستقبل تتعاملي معاه يكون درستيه في الجامعة أو في المدرسة ممكن أي مفهوم جديد بدك تشوفه تعريفه وكيف تفهمه وكيف تشرحيه", "tokens": [28814, 1829, 8592, 10874, 995, 34268, 20666, 3215, 9957, 3660, 22807, 20666, 3215, 9957, 3660, 37279, 16572, 5172, 10874, 14407, 21136, 33604, 6027, 1975, 8592, 1829, 23032, 3555, 3615, 995, 11778, 3224, 32771, 16572, 3555, 22807, 3714, 27842, 45367, 22807, 5551, 3224, 5296, 10721, 37893, 3714, 27842, 45367, 5296, 28814, 1863, 1975, 5016, 8315, 44945, 9566, 13063, 23032, 6027, 3555, 9122, 33911, 7251, 5172, 16095, 37495, 22653, 16472, 2655, 37893, 48812, 2288, 13063, 1829, 28242, 44049, 38207, 8978, 9673, 14851, 4587, 36150, 6055, 2655, 3615, 10943, 20292, 20449, 40294, 7251, 30544, 11778, 2288, 14851, 1829, 3224, 8978, 25724, 10943, 27884, 34051, 8978, 9673, 3215, 2288, 3794, 3660, 3714, 43020, 36632, 3714, 5172, 3224, 20498, 10874, 16254, 3215, 47525, 4117, 6055, 8592, 38688, 3224, 37279, 16572, 5172, 3224, 4032, 4117, 33911, 6055, 5172, 16095, 3224, 4032, 4117, 33911, 6055, 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144.46, "word": " غريب؟", "probability": 0.8560791015625}, {"start": 144.46, "end": 145.56, "word": " ممنوع؟", "probability": 0.982177734375}, {"start": 145.56, "end": 145.74, "word": " أه", "probability": 0.58319091796875}, {"start": 145.74, "end": 145.88, "word": " لأ", "probability": 0.935791015625}, {"start": 145.88, "end": 146.04, "word": " مش", "probability": 0.97021484375}, {"start": 146.04, "end": 146.46, "word": " ممنوع", "probability": 0.9855143229166666}, {"start": 146.46, "end": 146.68, "word": " لإن", "probability": 0.7654622395833334}, {"start": 146.68, "end": 146.86, "word": " احنا", "probability": 0.795654296875}, {"start": 146.86, "end": 147.58, "word": " بنطور", "probability": 0.583251953125}, {"start": 147.58, "end": 148.7, "word": " طالب", "probability": 0.7166341145833334}, {"start": 148.7, "end": 148.9, "word": " كيف", "probability": 0.968017578125}, {"start": 148.9, "end": 149.28, "word": " يفهم", "probability": 0.9908854166666666}, {"start": 149.28, "end": 149.52, "word": " يعني", "probability": 0.78564453125}, {"start": 149.52, "end": 149.66, "word": " انت", "probability": 0.7958984375}, {"start": 149.66, "end": 149.78, "word": " مش", "probability": 0.4716796875}, {"start": 149.78, "end": 150.12, "word": " ضروري", "probability": 0.85565185546875}, {"start": 150.12, "end": 150.38, "word": " كل", "probability": 0.6083984375}, {"start": 150.38, "end": 151.02, "word": " شيء", "probability": 0.820068359375}, {"start": 151.02, "end": 151.14, "word": " في", "probability": 0.9365234375}, {"start": 151.14, "end": 151.7, "word": " المستقبل", "probability": 0.9847412109375}, {"start": 151.7, "end": 152.3, "word": " تتعاملي", "probability": 0.85390625}, {"start": 152.3, "end": 152.64, "word": " معاه", "probability": 0.942626953125}, {"start": 152.64, "end": 152.78, "word": " يكون", "probability": 0.967529296875}, {"start": 152.78, "end": 153.2, "word": " درستيه", "probability": 0.86025390625}, {"start": 153.2, "end": 153.28, "word": " في", "probability": 0.97705078125}, {"start": 153.28, "end": 153.76, "word": " الجامعة", "probability": 0.9908854166666666}, {"start": 153.76, "end": 153.88, "word": " أو", "probability": 0.77001953125}, {"start": 153.88, "end": 154.0, "word": " في", "probability": 0.9560546875}, {"start": 154.0, "end": 154.5, "word": " المدرسة", "probability": 0.9939453125}, {"start": 154.5, "end": 155.02, "word": " ممكن", "probability": 0.967529296875}, {"start": 155.02, "end": 155.22, "word": " أي", "probability": 0.70703125}, {"start": 155.22, "end": 155.58, "word": " مفهوم", "probability": 0.986572265625}, {"start": 155.58, "end": 156.08, "word": " جديد", "probability": 0.9884440104166666}, {"start": 156.08, "end": 156.56, "word": " بدك", "probability": 0.9208984375}, {"start": 156.56, "end": 156.9, "word": " تشوفه", "probability": 0.968017578125}, {"start": 156.9, "end": 157.36, "word": " تعريفه", "probability": 0.9620361328125}, {"start": 157.36, "end": 157.66, "word": " وكيف", "probability": 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the restriction of a relation إيش ماله؟ عبارة عن ال relation هنتبه .. قولنا domain ال relation إيش ماله؟ set مش relation هنتبه كل كلمة إلها معنى وكيف نتعامل معاها بقول عبارة عن ال relation أه إيش الرمز تبعها؟ المفهوم the restriction of R to D هاي المصطلح طيب إيش رمزه؟ R اللي هو و هذا الخط D restricted to D هيك تنكتب RD هاي الرمز طيب إيش تعريفه؟ قال لي هي أزواج مرتبة طبعا هو قال لي ال relation من وين؟", "tokens": [3322, 9721, 11933, 15730, 16472, 2655, 4587, 25708, 2423, 9721, 264, 29529, 295, 257, 9721, 11933, 1829, 8592, 3714, 6027, 3224, 22807, 6225, 3555, 9640, 3660, 18871, 2423, 9721, 8032, 29399, 3555, 3224, 4386, 12174, 12610, 8315, 9274, 2423, 9721, 11933, 1829, 8592, 3714, 6027, 3224, 22807, 992, 37893, 9721, 8032, 29399, 3555, 3224, 28242, 9122, 19528, 3660, 11933, 1211, 11296, 20449, 1863, 7578, 4032, 4117, 33911, 8717, 2655, 3615, 10943, 1211, 20449, 995, 11296, 4724, 39648, 6225, 3555, 9640, 3660, 18871, 2423, 9721, 5551, 3224, 11933, 1829, 8592, 34892, 2304, 11622, 6055, 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x y وين موجودة في الطرف وين اليسار restricted to D are restricted to D", "tokens": [474, 718, 1975, 2407, 1270, 300, 28242, 3224, 20328, 5016, 293, 718, 2031, 288, 4032, 9957, 3714, 29245, 23328, 3660, 8978, 41950, 28480, 4032, 9957, 45595, 3794, 9640, 20608, 281, 413, 366, 20608, 281, 413], "avg_logprob": -0.166232633507914, "compression_ratio": 1.2212389380530972, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 449.5, "end": 449.9, "word": "and", "probability": 0.6484375}, {"start": 449.9, "end": 450.32, "word": " let", "probability": 0.96826171875}, {"start": 450.32, "end": 450.76, "word": " او", "probability": 0.6773681640625}, {"start": 450.76, "end": 451.02, "word": " such", "probability": 0.92431640625}, {"start": 451.02, "end": 451.34, "word": " that", "probability": 0.94677734375}, {"start": 451.34, "end": 451.68, "word": " كله", "probability": 0.977783203125}, {"start": 451.68, "end": 452.02, "word": " صح", "probability": 0.99560546875}, {"start": 452.02, "end": 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992.52, "end": 993.26, "word": " سحر", "probability": 0.9601236979166666}], "temperature": 1.0}, {"id": 41, "seek": 102187, "start": 993.53, "end": 1021.87, "text": "ولا في اختراع ولا شيء بنمشي من التعريفات و هوين هدفنا بنقول كيف بدنا نوصل هل المعطيات تؤدي للمطلوب ولا ماتؤديش بس بنرتب .. بنرتب و بنمشي خطوة خطوة السؤال الخامس تقريبا على نفس النمط برضه بديني تعريف جديد و يشغل عليه let R be a relation from A to B and let X subset من A define برضه بديني تعريف جديد R ال X", "tokens": [12610, 995, 8978, 1975, 46456, 23557, 3615, 49429, 44049, 38207, 44945, 2304, 8592, 1829, 9154, 16712, 3615, 16572, 5172, 9307, 4032, 31439, 9957, 8032, 3215, 5172, 8315, 44945, 39648, 9122, 33911, 47525, 8315, 8717, 2407, 36520, 8032, 1211, 9673, 3615, 9566, 1829, 9307, 6055, 33604, 16254, 5296, 19528, 9566, 1211, 37746, 49429, 3714, 9307, 33604, 16254, 8592, 4724, 3794, 44945, 43500, 3555, 4386, 44945, 43500, 3555, 4032, 44945, 2304, 8592, 1829, 16490, 9566, 2407, 3660, 16490, 9566, 2407, 3660, 21136, 33604, 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104992, "start": 1022.42, "end": 1049.92, "text": "بديوا يديني ايش صورة subset R of X من ال relation كأنه بدي ايش كيف مجموعة تحت ال R بتصور اللي بيسموها صورة المجموعة صورة المجموعة R of X ما هي؟ هل هي relation؟ لأ مجموعة عادية هي Y في ال B هي Y في ال B اذا احنا متوقعين ال R of X يتكون subset من ال B subset من ال B لو ده نرسم صورة هي subset من ال B خلينا نرسم الصورة", "tokens": [3555, 16254, 14407, 7251, 3215, 9957, 1829, 1975, 1829, 8592, 20328, 13063, 3660, 25993, 497, 295, 1783, 9154, 2423, 9721, 9122, 33456, 3224, 4724, 16254, 1975, 1829, 8592, 9122, 33911, 3714, 7435, 2304, 2407, 27884, 6055, 33753, 2423, 497, 39894, 9381, 13063, 13672, 1829, 4724, 1829, 38251, 2407, 11296, 20328, 13063, 3660, 9673, 7435, 2304, 2407, 27884, 20328, 13063, 3660, 9673, 7435, 2304, 2407, 27884, 497, 295, 1783, 19446, 39896, 22807, 8032, 1211, 39896, 9721, 22807, 5296, 10721, 3714, 7435, 2304, 2407, 27884, 6225, 18513, 10632, 39896, 398, 8978, 2423, 363, 39896, 398, 8978, 2423, 363, 1975, 15730, 1975, 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compound", "probability": 0.73583984375}, {"start": 1232.42, "end": 1233.18, "word": " statement", "probability": 0.94287109375}, {"start": 1233.18, "end": 1234.14, "word": " بقوللي", "probability": 0.6845703125}, {"start": 1234.14, "end": 1234.92, "word": " D", "probability": 0.845703125}], "temperature": 1.0}, {"id": 52, "seek": 125218, "start": 1235.26, "end": 1252.18, "text": "subset من الـA and E subset من الـA implies صورة التقاطع subset من تقاطع الصور R E هذا المطلوب solution", "tokens": [30131, 3854, 9154, 2423, 39184, 32, 293, 462, 25993, 9154, 2423, 39184, 32, 18779, 20328, 13063, 3660, 16712, 4587, 41193, 3615, 25993, 9154, 6055, 4587, 41193, 3615, 31767, 13063, 497, 462, 23758, 9673, 9566, 1211, 37746, 3827], "avg_logprob": -0.2522615178635246, "compression_ratio": 1.3904761904761904, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 1235.26, "end": 1235.92, "word": "subset", "probability": 0.686279296875}, {"start": 1235.92, "end": 1236.14, "word": " من", 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تمام جواب الشرط simple statement عبارة عن ايش علاقة subset استغلنا عليها سابقا كثير هنبدأ من عنصر عشوائي من الطرف اليسار و نوصله الييمين تمام", "tokens": [2304, 9566, 1211, 37746, 1975, 12984, 3555, 9307, 10874, 14407, 3555, 25124, 2288, 9566, 10874, 14407, 3555, 25124, 2288, 9566, 3714, 43020, 1975, 4117, 2655, 3555, 11296, 1975, 2407, 3714, 43020, 1975, 46456, 9381, 5172, 46811, 10943, 10874, 14407, 3555, 25124, 2288, 9566, 2199, 5629, 6225, 3555, 9640, 3660, 18871, 1975, 1829, 8592, 11203, 995, 28671, 25993, 44713, 17082, 1211, 8315, 25894, 11296, 8608, 16758, 4587, 995, 9122, 12984, 13546, 8032, 1863, 44510, 10721, 9154, 18871, 9381, 2288, 6225, 8592, 2407, 16373, 1829, 9154, 41950, 28480, 45595, 3794, 9640, 4032, 8717, 2407, 36520, 3224, 45595, 32640, 9957, 46811, 10943], "avg_logprob": -0.13476562187075614, "compression_ratio": 1.7474747474747474, "no_speech_prob": 5.245208740234375e-06, "words": [{"start": 1339.15, "end": 1339.63, "word": "مطلوب", "probability": 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{"id": 58, "seek": 138643, "start": 1357.51, "end": 1386.43, "text": "أنا أتقدمنا الآن مش أي مجموعة بأشتغل بأشتغل على صورة الصورة عناصرها أزواج مرتبة ولا عناصر؟ عناصر ليه؟ إيش هيه؟ جال الصور إيه الصبصة من الـBY ومن الأفضل أسميها X ولا Y؟ أقول له let X be .. Y أفضل لأنه بيوحيله إنها صورة إنها في الـB لأنه أنا بدي أشهر في عندي صورة ذهنية نمطية إن X في الـA وY في الـB وأنا أين رايح؟ رايح هنا هذا هو الـA الشترة التقاطي فبدي أقول له هنا let", "tokens": [10721, 8315, 5551, 2655, 28543, 2304, 8315, 6024, 48506, 37893, 36632, 3714, 7435, 2304, 45367, 3660, 4724, 10721, 8592, 2655, 17082, 1211, 4724, 10721, 8592, 2655, 17082, 1211, 15844, 20328, 13063, 3660, 31767, 13063, 3660, 18871, 33546, 2288, 11296, 5551, 11622, 2407, 26108, 3714, 43500, 49401, 49429, 18871, 33546, 2288, 22807, 18871, 33546, 2288, 32239, 3224, 22807, 11933, 1829, 8592, 39896, 3224, 22807, 10874, 6027, 31767, 13063, 11933, 1829, 3224, 31767, 3555, 9381, 3660, 9154, 2423, 39184, 16688, 4032, 27842, 16247, 5172, 11242, 1211, 5551, 38251, 1829, 11296, 1783, 49429, 398, 22807, 5551, 39648, 46740, 718, 1783, 312, 4386, 398, 5551, 5172, 11242, 1211, 5296, 33456, 3224, 4724, 1829, 2407, 5016, 26895, 3224, 36145, 11296, 20328, 13063, 3660, 36145, 11296, 8978, 2423, 39184, 33, 5296, 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0.94970703125}, {"start": 1682.83, "end": 1683.25, "word": " بتلت", "probability": 0.8541666666666666}, {"start": 1683.25, "end": 1683.71, "word": " مفاهيم", "probability": 0.9791259765625}, {"start": 1683.71, "end": 1684.37, "word": " رئيسية", "probability": 0.9939453125}, {"start": 1684.37, "end": 1685.03, "word": " وهي", "probability": 0.900634765625}, {"start": 1685.03, "end": 1685.79, "word": " الانعكاس", "probability": 0.786181640625}], "temperature": 1.0}, {"id": 73, "seek": 170702, "start": 1687.18, "end": 1707.02, "text": "والتماثل والتعدى فبدنا تلت مفاهيم ونربطهم بالتكافئة بعلاقة بفهم التكافئة فإن عندنا أربع مفاهيم في تلت مفاهيم مستقلة عن بعض كلهم إذا ارتبطوا إذا اتحققوا بسمي العلاقة علاقة التكافئة فأول مقدمة let R be a relation on asset X", "tokens": [2407, 6027, 39237, 5718, 104, 1211, 16070, 2655, 22488, 7578, 6156, 44510, 8315, 6055, 1211, 2655, 3714, 5172, 40294, 32640, 4032, 1863, 25513, 9566, 16095, 20666, 2655, 4117, 31845, 19986, 3660, 4724, 3615, 15040, 28671, 4724, 5172, 16095, 16712, 4117, 31845, 19986, 3660, 6156, 28814, 1863, 43242, 8315, 5551, 25513, 3615, 3714, 5172, 40294, 32640, 8978, 6055, 1211, 2655, 3714, 5172, 40294, 32640, 3714, 14851, 4587, 37977, 18871, 45030, 11242, 28242, 16095, 11933, 15730, 1975, 43500, 3555, 9566, 14407, 11933, 15730, 1975, 2655, 5016, 4587, 4587, 14407, 4724, 38251, 1829, 18863, 15040, 28671, 11203, 995, 28671, 16712, 4117, 31845, 19986, 3660, 6156, 10721, 12610, 3714, 28543, 46007, 718, 497, 312, 257, 9721, 322, 11999, 1783], "avg_logprob": -0.1664870617718532, "compression_ratio": 1.8768472906403941, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 1687.1799999999998, "end": 1688.1399999999999, "word": "والتماثل", "probability": 0.9013671875}, {"start": 1688.1399999999999, "end": 1689.1, "word": " والتعدى", "probability": 0.7857666015625}, {"start": 1689.1, "end": 1689.7, "word": " فبدنا", "probability": 0.7470703125}, {"start": 1689.7, "end": 1689.96, "word": " تلت", "probability": 0.8956705729166666}, {"start": 1689.96, "end": 1690.5, "word": " مفاهيم", "probability": 0.9505615234375}, {"start": 1690.5, "end": 1691.52, "word": " ونربطهم", "probability": 0.9078125}, {"start": 1691.52, "end": 1692.64, "word": " بالتكافئة", "probability": 0.7874348958333334}, {"start": 1692.64, "end": 1693.04, "word": " بعلاقة", "probability": 0.6009521484375}, {"start": 1693.04, "end": 1693.26, "word": " بفهم", "probability": 0.828125}, {"start": 1693.26, "end": 1693.6, "word": " التكافئة", "probability": 0.978515625}, {"start": 1693.6, "end": 1693.82, "word": " فإن", "probability": 0.6748046875}, {"start": 1693.82, "end": 1694.14, "word": " عندنا", "probability": 0.760498046875}, {"start": 1694.14, "end": 1694.92, "word": " أربع", "probability": 0.7722981770833334}, {"start": 1694.92, "end": 1695.48, "word": " مفاهيم", "probability": 0.9862060546875}, {"start": 1695.48, "end": 1696.06, "word": " في", "probability": 0.67041015625}, {"start": 1696.06, "end": 1696.38, "word": " تلت", "probability": 0.9855143229166666}, {"start": 1696.38, "end": 1696.74, "word": " مفاهيم", "probability": 0.9847412109375}, {"start": 1696.74, "end": 1697.4, "word": " مستقلة", "probability": 0.957763671875}, {"start": 1697.4, "end": 1697.62, "word": " عن", "probability": 0.99560546875}, {"start": 1697.62, "end": 1698.0, "word": " بعض", "probability": 0.994140625}, {"start": 1698.0, "end": 1698.7, "word": " كلهم", "probability": 0.8388671875}, {"start": 1698.7, "end": 1698.84, "word": " إذا", "probability": 0.907958984375}, {"start": 1698.84, "end": 1699.32, "word": " ارتبطوا", "probability": 0.96640625}, {"start": 1699.32, "end": 1699.4, "word": " إذا", "probability": 0.787353515625}, {"start": 1699.4, "end": 1700.04, "word": " اتحققوا", "probability": 0.95458984375}, {"start": 1700.04, "end": 1700.6, "word": " بسمي", "probability": 0.7462565104166666}, {"start": 1700.6, "end": 1700.96, "word": " العلاقة", "probability": 0.7670084635416666}, {"start": 1700.96, "end": 1701.32, "word": " علاقة", "probability": 0.9007161458333334}, {"start": 1701.32, "end": 1701.94, "word": " التكافئة", "probability": 0.97705078125}, {"start": 1701.94, "end": 1702.56, "word": " فأول", "probability": 0.9654947916666666}, {"start": 1702.56, "end": 1703.28, "word": " مقدمة", "probability": 0.9905598958333334}, {"start": 1703.28, "end": 1703.92, "word": " let", "probability": 0.6884765625}, {"start": 1703.92, "end": 1704.38, "word": " R", "probability": 0.79248046875}, {"start": 1704.38, "end": 1704.66, "word": " be", "probability": 0.8740234375}, {"start": 1704.66, "end": 1704.98, "word": " a", "probability": 0.87939453125}, {"start": 1704.98, "end": 1705.54, "word": " relation", "probability": 0.98388671875}, {"start": 1705.54, "end": 1705.98, "word": " on", "probability": 0.943359375}, {"start": 1705.98, "end": 1706.42, "word": " asset", "probability": 0.4482421875}, {"start": 1706.42, "end": 1707.02, "word": " X", "probability": 0.669921875}], "temperature": 1.0}, {"id": 74, "seek": 173669, "start": 1708.09, "end": 1736.69, "text": "إذاً من هنا نطالع بدي أشتغل على علاقة R من مجموعة على نفسها بنفع أشتغل أي مفهوم من المفاهيم التالية على علاقة عامة من A ل B و الـB غير عن الـA؟ لأ، فأول ملاحظة الـ equivalence relations و ما يتعلق بها بينفعش يشتغل، بينفعش أعرفه لعلاقة من أي مجموعة لأي مجموعة أخرى، لازم المجموعة على نفسها، بدي أشتغل على مجموعة نفسها، فهو هنا قال ليه؟", "tokens": [28814, 15730, 14111, 9154, 34105, 8717, 9566, 6027, 3615, 4724, 16254, 5551, 8592, 2655, 17082, 1211, 15844, 11203, 995, 28671, 497, 9154, 3714, 7435, 2304, 2407, 27884, 15844, 8717, 36178, 11296, 44945, 5172, 3615, 5551, 8592, 2655, 17082, 1211, 36632, 3714, 5172, 3224, 20498, 9154, 9673, 5172, 40294, 32640, 16712, 6027, 10632, 15844, 11203, 995, 28671, 6225, 10943, 3660, 9154, 316, 5296, 363, 4032, 2423, 39184, 33, 32771, 13546, 18871, 2423, 39184, 32, 22807, 5296, 10721, 12399, 6156, 10721, 12610, 3714, 15040, 5016, 19913, 3660, 2423, 39184, 9052, 655, 2299, 4032, 19446, 7251, 2655, 30241, 4587, 4724, 11296, 4724, 9957, 5172, 3615, 8592, 7251, 8592, 2655, 17082, 1211, 12399, 4724, 9957, 5172, 3615, 8592, 5551, 3615, 28480, 3224, 5296, 3615, 15040, 28671, 9154, 36632, 3714, 7435, 2304, 2407, 27884, 5296, 10721, 1829, 3714, 7435, 2304, 2407, 27884, 5551, 34740, 7578, 12399, 5296, 31377, 2304, 9673, 7435, 2304, 2407, 27884, 15844, 8717, 36178, 11296, 12399, 4724, 16254, 5551, 8592, 2655, 17082, 1211, 15844, 3714, 7435, 2304, 2407, 27884, 8717, 36178, 11296, 12399, 6156, 3224, 2407, 34105, 50239, 32239, 3224, 22807], "avg_logprob": -0.16380208705862362, "compression_ratio": 2.0642857142857145, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1708.09, "end": 1708.57, "word": "إذاً", "probability": 0.4543050130208333}, {"start": 1708.57, "end": 1708.69, "word": " من", "probability": 0.87841796875}, {"start": 1708.69, "end": 1708.95, "word": " هنا", "probability": 0.90576171875}, {"start": 1708.95, "end": 1709.57, "word": " نطالع", "probability": 0.834228515625}, {"start": 1709.57, "end": 1710.51, "word": " بدي", "probability": 0.429931640625}, {"start": 1710.51, "end": 1710.89, "word": " أشتغل", "probability": 0.8921875}, {"start": 1710.89, "end": 1711.09, "word": " على", "probability": 0.83935546875}, {"start": 1711.09, "end": 1711.65, "word": " علاقة", "probability": 0.98486328125}, {"start": 1711.65, "end": 1712.03, "word": " R", "probability": 0.6474609375}, {"start": 1712.03, "end": 1712.33, "word": " من", "probability": 0.9501953125}, {"start": 1712.33, "end": 1713.01, "word": " مجموعة", "probability": 0.881884765625}, {"start": 1713.01, "end": 1713.19, "word": " على", "probability": 0.515625}, {"start": 1713.19, "end": 1713.69, "word": " نفسها", "probability": 0.9967447916666666}, {"start": 1713.69, "end": 1714.81, "word": " بنفع", "probability": 0.7056070963541666}, {"start": 1714.81, "end": 1715.45, "word": " أشتغل", "probability": 0.97802734375}, {"start": 1715.45, "end": 1715.63, "word": " أي", "probability": 0.93408203125}, {"start": 1715.63, "end": 1716.13, "word": " مفهوم", "probability": 0.98779296875}, {"start": 1716.13, "end": 1716.25, "word": " من", "probability": 0.955078125}, {"start": 1716.25, "end": 1716.57, "word": " المفاهيم", "probability": 0.903076171875}, {"start": 1716.57, "end": 1716.97, "word": " التالية", "probability": 0.9928385416666666}, {"start": 1716.97, "end": 1717.17, "word": " على", "probability": 0.81103515625}, {"start": 1717.17, "end": 1717.67, "word": " علاقة", "probability": 0.9793294270833334}, {"start": 1717.67, "end": 1718.15, "word": " عامة", "probability": 0.9982096354166666}, {"start": 1718.15, "end": 1718.33, "word": " من", "probability": 0.9775390625}, {"start": 1718.33, "end": 1718.45, "word": " A", "probability": 0.93701171875}, {"start": 1718.45, "end": 1718.55, "word": " ل", "probability": 0.677734375}, {"start": 1718.55, "end": 1718.83, "word": " B", "probability": 0.56640625}, {"start": 1718.83, "end": 1719.23, "word": " و", "probability": 0.63720703125}, {"start": 1719.23, "end": 1719.49, "word": " الـB", "probability": 0.5721842447916666}, {"start": 1719.49, "end": 1719.73, "word": " غير", "probability": 0.9921875}, {"start": 1719.73, "end": 1719.89, "word": " عن", "probability": 0.859375}, {"start": 1719.89, "end": 1720.63, "word": " الـA؟", "probability": 0.861328125}, {"start": 1720.63, "end": 1721.25, "word": " لأ،", "probability": 0.6605631510416666}, {"start": 1721.25, "end": 1721.57, "word": " فأول", "probability": 0.9220377604166666}, {"start": 1721.57, "end": 1722.37, "word": " ملاحظة", "probability": 0.98720703125}, {"start": 1722.37, "end": 1723.23, "word": " الـ", "probability": 0.814697265625}, {"start": 1723.23, "end": 1723.71, "word": " equivalence", "probability": 0.7017822265625}, {"start": 1723.71, "end": 1724.29, "word": " relations", "probability": 0.73974609375}, {"start": 1724.29, "end": 1724.73, "word": " و", "probability": 0.82763671875}, {"start": 1724.73, "end": 1724.91, "word": " ما", "probability": 0.25927734375}, {"start": 1724.91, "end": 1725.61, "word": " يتعلق", "probability": 0.982421875}, {"start": 1725.61, "end": 1725.97, "word": " بها", "probability": 0.96875}, {"start": 1725.97, "end": 1726.89, "word": " بينفعش", "probability": 0.77080078125}, {"start": 1726.89, "end": 1727.43, "word": " يشتغل،", "probability": 0.9068196614583334}, {"start": 1727.43, "end": 1727.87, "word": " بينفعش", "probability": 0.95615234375}, {"start": 1727.87, "end": 1729.23, "word": " أعرفه", "probability": 0.97021484375}, {"start": 1729.23, "end": 1730.39, "word": " لعلاقة", "probability": 0.8917236328125}, {"start": 1730.39, "end": 1730.81, "word": " من", "probability": 0.98388671875}, {"start": 1730.81, "end": 1731.05, "word": " أي", "probability": 0.9326171875}, {"start": 1731.05, "end": 1731.51, "word": " مجموعة", "probability": 0.94287109375}, {"start": 1731.51, "end": 1731.85, "word": " لأي", "probability": 0.8406575520833334}, {"start": 1731.85, "end": 1732.23, "word": " مجموعة", "probability": 0.9498046875}, {"start": 1732.23, "end": 1732.67, "word": " أخرى،", "probability": 0.8795166015625}, {"start": 1732.67, "end": 1732.95, "word": " لازم", "probability": 0.9915364583333334}, {"start": 1732.95, "end": 1733.37, "word": " المجموعة", "probability": 0.8544921875}, {"start": 1733.37, "end": 1733.51, "word": " على", "probability": 0.8818359375}, {"start": 1733.51, "end": 1734.19, "word": " نفسها،", "probability": 0.91357421875}, {"start": 1734.19, "end": 1734.33, "word": " بدي", "probability": 0.9658203125}, {"start": 1734.33, "end": 1734.59, "word": " أشتغل", "probability": 0.9861328125}, {"start": 1734.59, "end": 1734.73, "word": " على", "probability": 0.95849609375}, {"start": 1734.73, "end": 1735.11, "word": " مجموعة", "probability": 0.976171875}, {"start": 1735.11, "end": 1735.77, "word": " نفسها،", "probability": 0.8658447265625}, {"start": 1735.77, "end": 1736.05, "word": " فهو", "probability": 0.7609049479166666}, {"start": 1736.05, "end": 1736.19, "word": " هنا", "probability": 0.42578125}, {"start": 1736.19, "end": 1736.37, "word": " قال", "probability": 0.8271484375}, {"start": 1736.37, "end": 1736.69, "word": " ليه؟", "probability": 0.9817708333333334}], "temperature": 1.0}, {"id": 75, "seek": 173905, "start": 1737.03, "end": 1739.05, "text": "A relation on X", "tokens": [32, 9721, 322, 1783], "avg_logprob": -0.437890625, "compression_ratio": 0.7142857142857143, "no_speech_prob": 0.0, "words": [{"start": 1737.03, "end": 1737.25, "word": "A", "probability": 0.14697265625}, {"start": 1737.25, "end": 1737.81, "word": " relation", "probability": 0.94189453125}, {"start": 1737.81, "end": 1738.51, "word": " on", "probability": 0.92431640625}, {"start": 1738.51, "end": 1739.05, "word": " X", "probability": 0.91162109375}], "temperature": 1.0}, {"id": 76, "seek": 177026, "start": 1741.36, "end": 1770.26, "text": "فإذن هي إيش؟ أول شيء هي علاقة من مجموعة إلى نفسها اللي أنا بديش أسميها capital X أسميها capital X مش خضيع then المفهوم الأول علاقة التماثل اللي هو إيش reflexive اللي يسموها تماثل بيعرفوها علاقة reflexive علاقة تماثل وقت إيش؟ if and only if ال X انعكاس مش علاقة انعكاس reflexive انعكاس", "tokens": [5172, 28814, 8848, 1863, 39896, 11933, 1829, 8592, 22807, 5551, 12610, 44049, 38207, 39896, 11203, 995, 28671, 9154, 3714, 7435, 2304, 2407, 27884, 30731, 8717, 36178, 11296, 13672, 1829, 41850, 4724, 16254, 8592, 5551, 38251, 1829, 11296, 4238, 1783, 5551, 38251, 1829, 11296, 4238, 1783, 37893, 16490, 11242, 40228, 550, 9673, 5172, 3224, 20498, 16247, 12610, 11203, 995, 28671, 16712, 2304, 5718, 104, 1211, 13672, 1829, 31439, 11933, 1829, 8592, 23802, 488, 13672, 1829, 7251, 38251, 2407, 11296, 46811, 5718, 104, 1211, 4724, 40228, 28480, 2407, 11296, 11203, 995, 28671, 23802, 488, 11203, 995, 28671, 46811, 5718, 104, 1211, 4032, 38149, 11933, 1829, 8592, 22807, 498, 293, 787, 498, 2423, 1783, 16472, 3615, 4117, 32277, 37893, 11203, 995, 28671, 16472, 3615, 4117, 32277, 23802, 488, 16472, 3615, 4117, 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" دول", "probability": 0.52410888671875}, {"start": 1969.99, "end": 1970.43, "word": " الأربع", "probability": 0.8297526041666666}, {"start": 1970.43, "end": 1970.63, "word": " مع", "probability": 0.91552734375}, {"start": 1970.63, "end": 1970.87, "word": " بعض", "probability": 0.99609375}, {"start": 1970.87, "end": 1971.17, "word": " طبعا", "probability": 0.8504638671875}, {"start": 1971.17, "end": 1971.47, "word": " الرابع", "probability": 0.9407552083333334}, {"start": 1971.47, "end": 1971.85, "word": " مقتمد", "probability": 0.80010986328125}, {"start": 1971.85, "end": 1971.95, "word": " على", "probability": 0.91357421875}, {"start": 1971.95, "end": 1972.33, "word": " التلاتة", "probability": 0.978515625}, {"start": 1972.33, "end": 1972.81, "word": " الأولى", "probability": 0.9645182291666666}, {"start": 1972.81, "end": 1973.03, "word": " لكن", "probability": 0.83251953125}, {"start": 1973.03, "end": 1973.63, "word": " هنفهمهم", "probability": 0.93447265625}, {"start": 1973.63, 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بصيغ مكافئة أخرى بدأنا بمجموعة بسيطة capital X و تو H بتتكون من عصوين 1 و 2", "tokens": [9566, 3555, 3615, 995, 8032, 1863, 37983, 2288, 16247, 29973, 4032, 8717, 3615, 25708, 9673, 12984, 6027, 16712, 3615, 16572, 5172, 4032, 8717, 8848, 37983, 16472, 13412, 16606, 21984, 20666, 2655, 5172, 9381, 26895, 6225, 8592, 7649, 8717, 2407, 11242, 5016, 3224, 4724, 9381, 1829, 17082, 3714, 4117, 31845, 19986, 3660, 5551, 34740, 7578, 47525, 10721, 8315, 4724, 2304, 7435, 2304, 2407, 27884, 4724, 3794, 1829, 9566, 3660, 4238, 1783, 4032, 33427, 389, 39894, 2655, 30544, 9154, 6225, 9381, 2407, 9957, 502, 4032, 568], "avg_logprob": -0.1983455826254452, "compression_ratio": 1.4585635359116023, "no_speech_prob": 0.0, "words": [{"start": 1984.79, "end": 1985.17, "word": "طبعا", "probability": 0.80731201171875}, {"start": 1985.17, "end": 1985.73, "word": " هنكرر", "probability": 0.8636474609375}, {"start": 1985.73, "end": 1986.09, "word": " الأمر", "probability": 0.86376953125}, {"start": 1986.09, 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1991.11, "end": 1991.93, "word": " بصيغ", "probability": 0.9576416015625}, {"start": 1991.93, "end": 1992.71, "word": " مكافئة", "probability": 0.926953125}, {"start": 1992.71, "end": 1993.49, "word": " أخرى", "probability": 0.9220377604166666}, {"start": 1993.49, "end": 1994.15, "word": " بدأنا", "probability": 0.78759765625}, {"start": 1994.15, "end": 1994.69, "word": " بمجموعة", "probability": 0.950927734375}, {"start": 1994.69, "end": 1995.55, "word": " بسيطة", "probability": 0.9916015625}, {"start": 1995.55, "end": 1995.93, "word": " capital", "probability": 0.37646484375}, {"start": 1995.93, "end": 1996.31, "word": " X", "probability": 0.91015625}, {"start": 1996.31, "end": 1996.49, "word": " و", "probability": 0.4814453125}, {"start": 1996.49, "end": 1996.61, "word": " تو", "probability": 0.267333984375}, {"start": 1996.61, "end": 1996.89, "word": " H", "probability": 0.1529541015625}, {"start": 1996.89, "end": 1997.35, "word": " بتتكون", "probability": 0.7685546875}, {"start": 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2000.95, "end": 2001.25, "word": " relation", "probability": 0.301513671875}, {"start": 2001.25, "end": 2001.45, "word": " on", "probability": 0.70361328125}, {"start": 2001.45, "end": 2001.71, "word": " X", "probability": 0.951171875}, {"start": 2001.71, "end": 2002.05, "word": " إذا", "probability": 0.75830078125}, {"start": 2002.05, "end": 2002.31, "word": " نحن", "probability": 0.7412923177083334}, {"start": 2002.31, "end": 2002.59, "word": " عشان", "probability": 0.9749348958333334}, {"start": 2002.59, "end": 2003.05, "word": " ندرس", "probability": 0.9945068359375}, {"start": 2003.05, "end": 2003.91, "word": " المفاهيم", "probability": 0.9793701171875}, {"start": 2003.91, "end": 2004.59, "word": " الأربعة", "probability": 0.97265625}, {"start": 2004.59, "end": 2005.39, "word": " لازم", "probability": 0.9641927083333334}, {"start": 2005.39, "end": 2005.59, "word": " يكون", "probability": 0.868408203125}, {"start": 2005.59, "end": 2005.73, "word": " في", "probability": 0.8984375}, 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{"start": 2009.11, "end": 2009.53, "word": " مجموعة", "probability": 0.9669921875}, {"start": 2009.53, "end": 2009.93, "word": " بنسميها", "probability": 0.860107421875}, {"start": 2009.93, "end": 2010.43, "word": " اختصارا", "probability": 0.8556640625}, {"start": 2010.43, "end": 2010.75, "word": " بدا", "probability": 0.5086669921875}, {"start": 2010.75, "end": 2010.87, "word": " ما", "probability": 0.60791015625}, {"start": 2010.87, "end": 2010.99, "word": " نقول", "probability": 0.880615234375}, {"start": 2010.99, "end": 2011.13, "word": " من", "probability": 0.939453125}, {"start": 2011.13, "end": 2011.33, "word": " X", "probability": 0.9560546875}, {"start": 2011.33, "end": 2011.43, "word": " ل", "probability": 0.849609375}, {"start": 2011.43, "end": 2011.61, "word": " X", "probability": 0.7568359375}, {"start": 2011.61, "end": 2011.85, "word": " بنقول", "probability": 0.7083740234375}, {"start": 2011.85, "end": 2012.03, "word": " on", "probability": 0.85693359375}, {"start": 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C", "tokens": [10721, 2655, 1863, 9957, 36764, 24401, 37893, 3714, 29245, 23328, 3660, 6156, 28814, 1829, 8592, 39894, 4117, 2655, 3555, 43761, 22807, 39894, 39648, 36764, 24401, 1975, 2655, 1863, 9957, 3714, 29245, 23328, 3660, 4032, 3615, 4117, 3794, 3224, 32771, 13546, 3714, 29245, 23328, 39894, 39648, 36764, 24401, 1975, 2655, 1863, 9957, 3714, 29245, 23328, 3660, 8978, 2423, 497, 4724, 9566, 34051, 293, 28242, 20328, 5016, 4724, 1829, 3224, 4724, 9566, 39894, 3615, 22653, 293, 293, 1975, 2655, 1863, 9957, 472, 20193, 6055, 29399, 2304, 1829, 24976, 497, 6156, 3224, 15730, 4724, 1829, 39648, 20292, 16472, 2423, 497, 307, 406, 383], "avg_logprob": -0.198019804930923, "compression_ratio": 1.8435754189944134, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2350.31, "end": 2350.81, "word": "أتنين", "probability": 0.712432861328125}, {"start": 2350.81, "end": 2351.03, "word": " واحد", "probability": 0.7783203125}, {"start": 2351.03, "end": 2351.15, "word": " مش", 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2366.11, "word": " ان", "probability": 0.58544921875}, {"start": 2366.11, "end": 2366.33, "word": " ال", "probability": 0.974609375}, {"start": 2366.33, "end": 2366.79, "word": " R", "probability": 0.95361328125}, {"start": 2366.79, "end": 2367.47, "word": " is", "probability": 0.92919921875}, {"start": 2367.47, "end": 2368.43, "word": " not", "probability": 0.96337890625}, {"start": 2368.43, "end": 2369.09, "word": " C", "probability": 0.599609375}], "temperature": 1.0}, {"id": 105, "seek": 239725, "start": 2374.29, "end": 2397.25, "text": "فهنا أول مثال، ومن بعد هنا نتعرف كيف نشتغل بالتعريف، فأول بالنسبة إلا التعريف اللي هو الانعكاس ال reflexive، statement فيها for all، بنا يتحدث بقى، بالنسبة لاللي هو ال symmetric و ال transitive، جملة شرطية، بنا إذا الشرط اتحقق، بنا يجيب الشرط يتحقق، نشوف كمان مثال", "tokens": [5172, 3224, 8315, 5551, 12610, 50113, 6027, 12399, 4032, 27842, 39182, 34105, 8717, 2655, 3615, 28480, 9122, 33911, 8717, 8592, 2655, 17082, 1211, 20666, 2655, 3615, 16572, 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ندروه", "probability": 0.786083984375}], "temperature": 1.0}, {"id": 109, "seek": 250250, "start": 2479.66, "end": 2502.5, "text": "طيب الجد اللي بعده .. فنفحص الزوج اللي بعده PA ما هو مفحوظ هنا لأنه دهاش ابدالية فهنا فحصنا أول واحد و تاني واحد نفحص الآن AC موجودة في الـR هل معكوسة موجودة؟ نعم موجودة في الـR فإذا أنا عايش بالـD زي ما تقولنا مفهومها كل زوج وعكسه موجود فالأول والتاني ومعكس بعض تمام", "tokens": [9566, 1829, 3555, 25724, 3215, 13672, 1829, 39182, 3224, 4386, 6156, 1863, 5172, 5016, 9381, 6024, 110, 29245, 13672, 1829, 39182, 3224, 17718, 19446, 31439, 3714, 5172, 5016, 2407, 19913, 34105, 5296, 33456, 3224, 11778, 3224, 33599, 48127, 3215, 6027, 10632, 6156, 3224, 8315, 6156, 5016, 9381, 8315, 5551, 12610, 36764, 24401, 4032, 6055, 7649, 1829, 36764, 24401, 8717, 5172, 5016, 9381, 6024, 48506, 8157, 3714, 29245, 23328, 3660, 8978, 2423, 39184, 49, 8032, 1211, 20449, 4117, 41779, 3660, 3714, 29245, 23328, 3660, 22807, 8717, 25957, 3714, 29245, 23328, 3660, 8978, 2423, 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"word": " هل", "probability": 0.719970703125}, {"start": 2492.04, "end": 2492.48, "word": " معكوسة", "probability": 0.8077392578125}, {"start": 2492.48, "end": 2493.2, "word": " موجودة؟", "probability": 0.84755859375}, {"start": 2493.2, "end": 2493.78, "word": " نعم", "probability": 0.981689453125}, {"start": 2493.78, "end": 2494.82, "word": " موجودة", "probability": 0.958251953125}, {"start": 2494.82, "end": 2495.0, "word": " في", "probability": 0.92041015625}, {"start": 2495.0, "end": 2495.22, "word": " الـR", "probability": 0.9658203125}, {"start": 2495.22, "end": 2495.66, "word": " فإذا", "probability": 0.8986002604166666}, {"start": 2495.66, "end": 2495.86, "word": " أنا", "probability": 0.54736328125}, {"start": 2495.86, "end": 2496.04, "word": " عايش", "probability": 0.8312174479166666}, {"start": 2496.04, "end": 2496.4, "word": " بالـD", "probability": 0.826171875}, {"start": 2496.4, "end": 2496.62, "word": " زي", "probability": 0.873291015625}, {"start": 2496.62, "end": 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