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"word": " ال", "probability": 0.767578125}, {"start": 109.36, "end": 109.76, "word": " X", "probability": 0.53759765625}, {"start": 109.76, "end": 110.88, "word": " ناقص", "probability": 0.8912353515625}, {"start": 110.88, "end": 111.54, "word": " ربع", "probability": 0.94140625}, {"start": 111.54, "end": 112.1, "word": " E", "probability": 0.438232421875}, {"start": 112.1, "end": 112.44, "word": " أُس", "probability": 0.5115559895833334}, {"start": 112.44, "end": 113.02, "word": " ناقص", "probability": 0.9722900390625}, {"start": 113.02, "end": 113.62, "word": " اتنين", "probability": 0.8935546875}, {"start": 113.62, "end": 114.12, "word": " X", "probability": 0.98828125}, {"start": 114.12, "end": 115.4, "word": " زائد", "probability": 0.9532877604166666}, {"start": 115.4, "end": 116.04, "word": " constant", "probability": 0.9482421875}, {"start": 116.04, "end": 117.3, "word": " C", "probability": 0.98779296875}, {"start": 117.3, "end": 119.2, "word": " التكامل", "probability": 0.9825439453125}, {"start": 119.2, "end": 119.9, "word": " التالت", "probability": 0.9495442708333334}, {"start": 119.9, "end": 120.96, "word": " بدنا", "probability": 0.752685546875}, {"start": 120.96, "end": 122.16, "word": " تكامل", "probability": 0.94677734375}, {"start": 122.16, "end": 124.72, "word": " لمين؟", "probability": 0.6813151041666666}, {"start": 124.72, "end": 125.6, "word": " لسش", "probability": 0.6338704427083334}, {"start": 125.6, "end": 127.0, "word": " تكيب", "probability": 0.8392333984375}, {"start": 127.0, "end": 127.26, "word": " ال", "probability": 0.939453125}, {"start": 127.26, "end": 127.68, "word": " X", "probability": 0.9521484375}, {"start": 127.68, "end": 128.86, "word": " تانش", "probability": 0.7662760416666666}, {"start": 128.86, "end": 129.16, "word": " ال", "probability": 0.96044921875}, {"start": 129.16, "end": 129.84, "word": " X", "probability": 0.97705078125}, {"start": 129.84, "end": 132.4, "word": " DX", "probability": 0.8017578125}, 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138.23, "word": " حتى", "probability": 0.733154296875}, {"start": 138.23, "end": 138.99, "word": " نستطيع", "probability": 0.97607421875}, {"start": 138.99, "end": 139.99, "word": " نكامل", "probability": 0.72900390625}, {"start": 139.99, "end": 140.51, "word": " هذه", "probability": 0.9130859375}, {"start": 140.51, "end": 141.99, "word": " المثلة", "probability": 0.8525390625}, {"start": 141.99, "end": 146.09, "word": " نعمل", "probability": 0.9178059895833334}, {"start": 146.09, "end": 146.69, "word": " الصش", "probability": 0.454681396484375}, {"start": 146.69, "end": 147.53, "word": " اللي", "probability": 0.751953125}, {"start": 147.53, "end": 147.77, "word": " هو", "probability": 0.98046875}, {"start": 147.77, "end": 148.33, "word": " صش", "probability": 0.577392578125}, {"start": 148.33, "end": 149.17, "word": " square", "probability": 0.626953125}, {"start": 149.17, "end": 149.83, "word": " x", "probability": 0.6298828125}, {"start": 149.83, "end": 150.51, "word": " في", "probability": 0.74560546875}, {"start": 150.51, "end": 151.17, "word": " صش", "probability": 0.97265625}, {"start": 151.17, "end": 151.53, "word": " ال", "probability": 0.9091796875}, {"start": 151.53, "end": 152.01, "word": " x", "probability": 0.6796875}, {"start": 152.01, "end": 152.71, "word": " في", "probability": 0.95751953125}, {"start": 152.71, "end": 153.57, "word": " تانش", "probability": 0.8831380208333334}, {"start": 153.57, "end": 153.87, "word": " ال", "probability": 0.95751953125}, {"start": 153.87, "end": 154.41, "word": " x", "probability": 0.97265625}, {"start": 154.41, "end": 155.05, "word": " في", "probability": 0.9609375}, {"start": 155.05, "end": 155.53, "word": " dx", "probability": 0.53955078125}], "temperature": 1.0}, {"id": 8, "seek": 17695, "start": 156.67, "end": 176.95, "text": "هذا كله مشتقة مين؟ سش بس بإشارة سالب لإن مشتقة السش بسالب سش تانش، إذا هذه تساوي سالب تكامل لسش square X دي لسش ال X، شكل عن هذا", "tokens": [3224, 15730, 28242, 3224, 37893, 2655, 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0.9015299479166666}, {"start": 168.69, "end": 169.81, "word": " تكامل", "probability": 0.9913330078125}, {"start": 169.81, "end": 170.91, "word": " لسش", "probability": 0.9794921875}, {"start": 170.91, "end": 171.51, "word": " square", "probability": 0.64404296875}, {"start": 171.51, "end": 172.25, "word": " X", "probability": 0.626953125}, {"start": 172.25, "end": 173.31, "word": " دي", "probability": 0.6845703125}, {"start": 173.31, "end": 174.17, "word": " لسش", "probability": 0.99169921875}, {"start": 174.17, "end": 174.51, "word": " ال", "probability": 0.71875}, {"start": 174.51, "end": 176.03, "word": " X،", "probability": 0.6888427734375}, {"start": 176.03, "end": 176.47, "word": " شكل", "probability": 0.92724609375}, {"start": 176.47, "end": 176.71, "word": " عن", "probability": 0.29248046875}, {"start": 176.71, "end": 176.95, "word": " هذا", "probability": 0.884765625}], "temperature": 1.0}, {"id": 9, "seek": 20290, "start": 177.46, "end": 202.9, "text": "وكان واحدة من كامل y 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192.36, "word": " أي", "probability": 0.580078125}, {"start": 192.36, "end": 192.62, "word": " حال", "probability": 0.99658203125}, {"start": 192.62, "end": 192.86, "word": " كان", "probability": 0.8330078125}, {"start": 192.86, "end": 193.4, "word": " المثل", "probability": 0.8815104166666666}, {"start": 193.4, "end": 193.68, "word": " y", "probability": 0.87890625}, {"start": 193.68, "end": 194.24, "word": " تربيه", "probability": 0.9403076171875}, {"start": 194.24, "end": 194.7, "word": " dy", "probability": 0.95751953125}, {"start": 194.7, "end": 195.32, "word": " يبقى", "probability": 0.9671630859375}, {"start": 195.32, "end": 195.7, "word": " فانضيف", "probability": 0.674346923828125}, {"start": 195.7, "end": 196.06, "word": " للؤس", "probability": 0.64013671875}, {"start": 196.06, "end": 196.38, "word": " واحد", "probability": 0.921142578125}, {"start": 196.38, "end": 197.02, "word": " بنختهم", "probability": 0.587890625}, {"start": 197.02, "end": 197.78, "word": " على", 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الدالة one to one يبقى ال inverse exist يبقى هي رسمت من ال inverse بدنا نيجي ل ال gauche inverse يبقى لو روحنا و قولنا هذا محور X هذا محور Y هذه نقطة الأصل اللي هي Zero رسمنا منحنى ال gauche فمنحنى ال gauche بقى جارى زي هيك", "tokens": [41185, 8717, 47432, 3660, 36764, 24401, 3660, 7251, 3555, 4587, 7578, 32748, 6027, 3660, 472, 281, 472, 7251, 3555, 4587, 7578, 2423, 17340, 2514, 7251, 3555, 4587, 7578, 39896, 12602, 38251, 2655, 9154, 2423, 17340, 47525, 8315, 8717, 1829, 7435, 1829, 5296, 2423, 36724, 17340, 7251, 3555, 4587, 7578, 45164, 12602, 2407, 5016, 8315, 4032, 12174, 12610, 8315, 23758, 3714, 5016, 13063, 1783, 23758, 3714, 5016, 13063, 398, 29538, 8717, 47432, 3660, 16247, 36520, 13672, 1829, 39896, 17182, 12602, 38251, 8315, 9154, 5016, 1863, 7578, 2423, 36724, 6156, 27842, 5016, 1863, 7578, 2423, 36724, 4724, 4587, 7578, 10874, 9640, 7578, 30767, 1829, 39896, 4117], "avg_logprob": -0.22648808842613583, "compression_ratio": 1.9035532994923858, "no_speech_prob": 0.0, 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range", "probability": 0.95751953125}], "temperature": 1.0}, {"id": 48, "seek": 111208, "start": 1092.11, "end": 1112.09, "text": "لتانش inverse x من سالب infinity لانفينيتي يعني كل real line بالاستثناء.الان بدنا نيجي لكتانش inverse x هذا محور x هذا y وهذا z", "tokens": [1211, 2655, 7649, 8592, 17340, 2031, 9154, 8608, 6027, 3555, 13202, 5296, 7649, 5172, 9957, 1829, 31371, 37495, 22653, 28242, 957, 1622, 20666, 995, 14851, 12984, 1863, 16606, 13, 6027, 7649, 47525, 8315, 8717, 1829, 7435, 1829, 5296, 4117, 2655, 7649, 8592, 17340, 2031, 23758, 3714, 5016, 13063, 2031, 23758, 288, 37037, 15730, 710], "avg_logprob": -0.48977273160761053, "compression_ratio": 1.3829787234042554, "no_speech_prob": 0.0, "words": [{"start": 1092.11, "end": 1093.45, "word": "لتانش", "probability": 0.71392822265625}, {"start": 1093.45, "end": 1094.33, "word": " inverse", "probability": 0.83544921875}, {"start": 1094.33, "end": 1095.03, "word": " x", "probability": 0.4970703125}, {"start": 1095.03, "end": 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فيه ما بينهم من سلب واحد إلى واحد للتانش بعد الواحد وقبل السلب واحد لمين للكوتانش وهنا نفس الطريقة لو جيت قلت هذا الخط اللي هو x يسوى واحد", "tokens": [45340, 25720, 16247, 34740, 7578, 12602, 38251, 8315, 16712, 7649, 8592, 16070, 4117, 35473, 7649, 8592, 15844, 8717, 36178, 34892, 38251, 3660, 4032, 41361, 19446, 41185, 8592, 6055, 28259, 9778, 1211, 8978, 3224, 19446, 49374, 16095, 9154, 8608, 46152, 36764, 24401, 30731, 36764, 24401, 24976, 2655, 7649, 8592, 39182, 2423, 14407, 24401, 4032, 4587, 36150, 21136, 46152, 36764, 24401, 32767, 9957, 24976, 4117, 35473, 7649, 8592, 37037, 8315, 8717, 36178, 41950, 16572, 28671, 45164, 10874, 36081, 12174, 1211, 2655, 23758, 33962, 9566, 13672, 1829, 31439, 2031, 7251, 3794, 2407, 7578, 36764, 24401], "avg_logprob": -0.2016128993803455, "compression_ratio": 1.9476439790575917, "no_speech_prob": 0.0, "words": [{"start": 1112.89, "end": 1113.47, "word": "المرة", "probability": 0.58294677734375}, {"start": 1113.47, "end": 1113.89, "word": " 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الصحيح يبقى لو رسمنا منحنى السش منحنى السش بيجيني بالشكل اللي عندنا هذا هو السش ال X", "tokens": [6027, 9778, 10943, 3794, 3660, 31439, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 45164, 12602, 38251, 8315, 9154, 5016, 1863, 7578, 21136, 8592, 9154, 5016, 1863, 7578, 21136, 8592, 4724, 1829, 7435, 9957, 1829, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 31439, 2423, 3794, 8592, 2423, 1783], "avg_logprob": -0.3773584973137334, "compression_ratio": 1.6, "no_speech_prob": 0.0, "words": [{"start": 1219.34, "end": 1220.34, "word": "الخامسة", "probability": 0.8521484375}, {"start": 1220.34, "end": 1220.58, "word": " هو", "probability": 0.3876953125}, {"start": 1220.58, "end": 1225.4, "word": " الواحد", "probability": 0.5161946614583334}, {"start": 1225.4, "end": 1226.2, "word": " الصحيح", "probability": 0.962158203125}, {"start": 1226.2, "end": 1226.96, "word": " يبقى", "probability": 0.71588134765625}, {"start": 1226.96, "end": 1227.14, "word": " لو", 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"word": " الواحد", "probability": 0.9612630208333334}, {"start": 1245.09, "end": 1246.11, "word": " بلاقي", "probability": 0.7220052083333334}, {"start": 1246.11, "end": 1247.63, "word": " الخط", "probability": 0.95703125}, {"start": 1247.63, "end": 1248.29, "word": " الأفق", "probability": 0.8629557291666666}, {"start": 1248.29, "end": 1248.75, "word": " لأن", "probability": 0.7060546875}, {"start": 1248.75, "end": 1249.15, "word": " هذا", "probability": 0.9208984375}, {"start": 1249.15, "end": 1250.27, "word": " سيقطع", "probability": 0.977783203125}, {"start": 1250.27, "end": 1251.49, "word": " المنحنى", "probability": 0.846484375}, {"start": 1251.49, "end": 1252.35, "word": " في", "probability": 0.90673828125}, {"start": 1252.35, "end": 1255.23, "word": " نقطتين", "probability": 0.8468017578125}, {"start": 1255.23, "end": 1255.85, "word": " إذا", "probability": 0.5859375}, {"start": 1255.85, "end": 1256.57, "word": " المنحنى", "probability": 0.9802734375}, {"start": 1256.57, "end": 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"خلّي بالك معناه هنا يبقى واحد على الجدر التربية اللي واحد زائد U تربية في ال DU على DX", "tokens": [9778, 1211, 11703, 1829, 20666, 4117, 20449, 8315, 3224, 34105, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 25724, 3215, 2288, 16712, 25513, 10632, 13672, 1829, 36764, 24401, 30767, 16373, 3215, 624, 6055, 25513, 10632, 8978, 2423, 28423, 15844, 48817], "avg_logprob": -0.3369140692055225, "compression_ratio": 1.4466019417475728, "no_speech_prob": 0.0, "words": [{"start": 1756.08, "end": 1756.44, "word": "خلّي", "probability": 0.674468994140625}, {"start": 1756.44, "end": 1756.68, "word": " بالك", "probability": 0.918701171875}, {"start": 1756.68, "end": 1757.0, "word": " معناه", "probability": 0.9020182291666666}, {"start": 1757.0, "end": 1757.18, "word": " هنا", "probability": 0.80810546875}, {"start": 1757.18, "end": 1757.64, "word": " يبقى", "probability": 0.7354736328125}, {"start": 1757.64, "end": 1758.18, "word": " واحد", "probability": 0.73291015625}, {"start": 1758.18, "end": 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