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+{"segments": [{"id": 1, "seek": 4590, "start": 20.94, "end": 45.9, "text": "بسم الله الرحمن الرحيم الموضوع اللى قدر بين ايدينا اليوم اللى هو one sided limit طبعا ابتدأنا من section 1 لغاية section 3 لم ناخد في اي يوم من الأيام ال limit من اليمين او ال limit من الشمال وانما بجأنا ناخد limit سعالية بدلا من محكمة limit ثم limit سعادية ثم ال section الماضى كان بواسط epsilon و delta definition", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 2407, 11242, 45367, 13672, 7578, 12174, 3215, 2288, 49374, 1975, 1829, 16254, 8315, 45595, 20498, 13672, 7578, 31439, 472, 41651, 4948, 23032, 3555, 3615, 995, 48127, 2655, 3215, 10721, 8315, 9154, 3541, 502, 5296, 17082, 995, 10632, 3541, 805, 32767, 8717, 47283, 3215, 8978, 1975, 1829, 7251, 20498, 9154, 16247, 1829, 10943, 2423, 4948, 9154, 45595, 2304, 9957, 1975, 2407, 2423, 4948, 9154, 25124, 2304, 6027, 4032, 7649, 15042, 4724, 7435, 10721, 8315, 8717, 47283, 3215, 4948, 8608, 3615, 6027, 10632, 47525, 15040, 9154, 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{"start": 119.18, "end": 119.4, "word": " بده", "probability": 0.95849609375}, {"start": 119.4, "end": 119.62, "word": " تروح", "probability": 0.9921875}, {"start": 119.62, "end": 119.84, "word": " الى", "probability": 0.853759765625}, {"start": 119.84, "end": 120.14, "word": " C", "probability": 0.99169921875}, {"start": 120.14, "end": 120.34, "word": " من", "probability": 0.99169921875}, {"start": 120.34, "end": 120.7, "word": " جهة", "probability": 0.9659830729166666}, {"start": 120.7, "end": 121.28, "word": " اليامين", "probability": 0.6831868489583334}, {"start": 121.28, "end": 121.82, "word": " بده", "probability": 0.939697265625}, {"start": 121.82, "end": 122.1, "word": " يساوي", "probability": 0.84185791015625}, {"start": 122.1, "end": 123.28, "word": " نفس", "probability": 0.6893310546875}, {"start": 123.28, "end": 124.14, "word": " النتيجة", "probability": 0.9476318359375}, {"start": 124.14, "end": 124.36, "word": " اللى", "probability": 0.887451171875}, {"start": 124.36, "end": 124.62, "word": " هى", "probability": 0.5772705078125}, {"start": 124.62, "end": 124.86, "word": " L", "probability": 0.96875}], "temperature": 1.0}, {"id": 5, "seek": 14175, "start": 125.29, "end": 141.75, "text": "يبقى إذا تساوت النتيجة للـ function من اليمين والنتيجة من اليسار يبقى ال limit exists وتساوي هذه القيمة اللي طلعت أنا بنا نبدأ ناخد أمثلة مختلفة على ميم على الكلام اللي قلنا هذا", "tokens": [1829, 3555, 4587, 7578, 11933, 15730, 6055, 3794, 995, 35473, 28239, 31371, 7435, 3660, 24976, 39184, 2445, 9154, 2423, 32640, 9957, 16070, 29399, 1829, 7435, 3660, 9154, 45595, 3794, 9640, 7251, 3555, 4587, 7578, 2423, 4948, 8198, 34683, 3794, 995, 45865, 29538, 25062, 32640, 3660, 13672, 1829, 23032, 1211, 34268, 14739, 995, 4724, 8315, 8717, 44510, 10721, 8717, 47283, 3215, 5551, 2304, 12984, 37977, 3714, 46456, 46538, 3660, 15844, 3714, 32640, 15844, 2423, 28820, 10943, 13672, 1829, 12174, 1211, 8315, 23758], "avg_logprob": -0.18692834711656336, "compression_ratio": 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بعد قليل، بس ناخد بعض الأمثلة", "tokens": [9566, 3555, 3615, 995, 41850, 6225, 9640, 5172, 14739, 3224, 45030, 11242, 16247, 3794, 19986, 37977, 39894, 3215, 13063, 8978, 11778, 15042, 4117, 3224, 12399, 44381, 29538, 16247, 3794, 19986, 37977, 4724, 16254, 5551, 7435, 995, 37746, 11296, 12399, 4724, 16254, 5551, 3794, 10721, 1211, 11296, 41850, 46952, 1863, 7435, 995, 37746, 25894, 11296, 39182, 12174, 20292, 1211, 12399, 4724, 3794, 8717, 47283, 3215, 45030, 11242, 16247, 2304, 12984, 37977], "avg_logprob": -0.13556338321994726, "compression_ratio": 1.7664233576642336, "no_speech_prob": 0.0, "words": [{"start": 142.02, "end": 142.58, "word": "طبعا", "probability": 0.875}, {"start": 142.58, "end": 142.96, "word": " أنا", "probability": 0.31787109375}, {"start": 142.96, "end": 143.44, "word": " عارف", "probability": 0.8974609375}, {"start": 143.44, "end": 143.78, "word": " أنه", "probability": 0.5372314453125}, {"start": 143.78, "end": 144.24, "word": " بعض", "probability": 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{"start": 150.6, "end": 151.86, "word": " وسنجاوب", "probability": 0.8505859375}, {"start": 151.86, "end": 152.44, "word": " عليها", "probability": 0.990966796875}, {"start": 152.44, "end": 153.16, "word": " بعد", "probability": 0.9541015625}, {"start": 153.16, "end": 154.32, "word": " قليل،", "probability": 0.9462890625}, {"start": 154.32, "end": 154.5, "word": " بس", "probability": 0.99267578125}, {"start": 154.5, "end": 154.86, "word": " ناخد", "probability": 0.990234375}, {"start": 154.86, "end": 155.24, "word": " بعض", "probability": 0.982421875}, {"start": 155.24, "end": 155.94, "word": " الأمثلة", "probability": 0.9859619140625}], "temperature": 1.0}, {"id": 7, "seek": 18680, "start": 157.32, "end": 186.8, "text": "على الـ graph of a function as shown in the following figure رسمى اللى قدامنا هذه بيقول احسب لل limit إذا كانت موجودة و إذا مش موجودة مسامحينك فيها ال limit الأولى بيقول اللى limit ال F of X لما ال X بده تروح لسالب واحد من جهة اليمين يبقى باجي لسالب واحد هي السالب 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242.12, "word": " النتيجة", "probability": 0.7203125}, {"start": 242.12, "end": 242.78, "word": " تساوي", "probability": 0.849365234375}, {"start": 242.78, "end": 243.22, "word": " واحد", "probability": 0.902587890625}, {"start": 243.22, "end": 245.14, "word": " بناء", "probability": 0.541717529296875}, {"start": 245.14, "end": 245.66, "word": " عليه", "probability": 0.75537109375}, {"start": 245.66, "end": 247.5, "word": " من", "probability": 0.184814453125}, {"start": 247.5, "end": 249.8, "word": " جهة", "probability": 0.9697265625}, {"start": 249.8, "end": 250.48, "word": " اليمين", "probability": 0.83642578125}, {"start": 250.48, "end": 251.36, "word": " بواحد", "probability": 0.9052734375}, {"start": 251.36, "end": 251.8, "word": " من", "probability": 0.56982421875}, {"start": 251.8, "end": 252.24, "word": " جهة", "probability": 0.9853515625}, {"start": 252.24, "end": 252.84, "word": " الشمال", "probability": 0.9723307291666666}, {"start": 252.84, "end": 253.44, "word": " باتنين", "probability": 0.888427734375}, {"start": 253.44, "end": 254.62, "word": " اختلفت", "probability": 0.90576171875}, {"start": 254.62, "end": 255.54, "word": " القيمتان", "probability": 0.9681396484375}, {"start": 255.54, "end": 256.1, "word": " يبقى", "probability": 0.9630126953125}, {"start": 256.1, "end": 256.14, "word": " ال", "probability": 0.31494140625}, {"start": 256.14, "end": 256.32, "word": " limit", "probability": 0.66650390625}, {"start": 256.32, "end": 256.58, "word": " ما", "probability": 0.54638671875}, {"start": 256.58, "end": 256.9, "word": " لها", "probability": 0.83447265625}, {"start": 256.9, "end": 257.62, "word": " does", "probability": 0.76123046875}, {"start": 257.62, "end": 258.02, "word": " not", "probability": 0.96630859375}, {"start": 258.02, "end": 258.68, "word": " exist", "probability": 0.9775390625}, {"start": 258.68, "end": 259.6, "word": " يبقى", "probability": 0.9608154296875}, {"start": 259.6, "end": 259.94, "word": " هذه", "probability": 0.68701171875}, {"start": 259.94, "end": 260.76, "word": " بقوله", "probability": 0.8341471354166666}, {"start": 260.76, "end": 261.3, "word": " does", "probability": 0.90625}, {"start": 261.3, "end": 262.52, "word": " not", "probability": 0.96484375}, {"start": 262.52, "end": 263.4, "word": " exist", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 11, "seek": 27164, "start": 264.5, "end": 271.64, "text": "هذا الـ Limit غير موجودة", "tokens": [3224, 15730, 2423, 39184, 16406, 270, 32771, 13546, 3714, 29245, 23328, 3660], "avg_logprob": -0.7620192124293401, "compression_ratio": 0.8125, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 264.5, "end": 265.1, "word": "هذا", "probability": 0.390869140625}, {"start": 265.1, "end": 265.94, "word": " الـ", "probability": 0.1929931640625}, {"start": 265.94, "end": 270.3, "word": " Limit", "probability": 0.6383056640625}, {"start": 270.3, "end": 270.9, "word": " غير", "probability": 0.9248046875}, {"start": 270.9, "end": 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657.22, "word": " value", "probability": 0.99267578125}, {"start": 657.22, "end": 658.04, "word": " للمقدر", "probability": 0.852294921875}, {"start": 658.04, "end": 659.02, "word": " بالمقدر", "probability": 0.9752197265625}, {"start": 659.02, "end": 659.96, "word": " itself", "probability": 0.5556640625}, {"start": 659.96, "end": 660.94, "word": " على", "probability": 0.79296875}, {"start": 660.94, "end": 661.38, "word": " من", "probability": 0.358642578125}, {"start": 661.38, "end": 662.02, "word": " على", "probability": 0.77685546875}, {"start": 662.02, "end": 662.66, "word": " x", "probability": 0.485107421875}, {"start": 662.66, "end": 663.36, "word": " زائد", "probability": 0.9085286458333334}, {"start": 663.36, "end": 664.0, "word": " اتنين", "probability": 0.8822021484375}, {"start": 664.0, "end": 664.46, "word": " في", "probability": 0.81298828125}, {"start": 664.46, "end": 664.92, "word": " x", "probability": 0.7958984375}, {"start": 664.92, "end": 665.76, "word": " ناقص", 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678.3, "word": " من", "probability": 0.9931640625}, {"start": 678.3, "end": 678.68, "word": " جهة", "probability": 0.9806315104166666}, {"start": 678.68, "end": 679.32, "word": " اليمين", "probability": 0.9039713541666666}, {"start": 679.32, "end": 680.44, "word": " لواحد", "probability": 0.75341796875}, {"start": 680.44, "end": 680.76, "word": " على", "probability": 0.57275390625}, {"start": 680.76, "end": 681.18, "word": " X", "probability": 0.8046875}, {"start": 681.18, "end": 681.94, "word": " زائد", "probability": 0.9436848958333334}, {"start": 681.94, "end": 682.56, "word": " اتنين", "probability": 0.957275390625}, {"start": 682.56, "end": 683.46, "word": " تعويض", "probability": 0.8912760416666666}, {"start": 683.46, "end": 684.22, "word": " مباشر", "probability": 0.9949951171875}, {"start": 684.22, "end": 685.0, "word": " واحد", "probability": 0.919677734375}, {"start": 685.0, "end": 685.14, "word": " ع", "probability": 0.625}, {"start": 685.14, "end": 685.8, "word": " تلاتة", 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0.8182373046875}], "temperature": 1.0}, {"id": 61, "seek": 145042, "start": 1424.7, "end": 1450.42, "text": "هذا السؤال طبعا شكله يختلف عن شكل الأربعة السابقة أول سؤالين كانوا بيشتملوا على ال absolute value القيمة المطلقة والسؤالين التانية كانوا بيشتملوا على دالة العدد الصحيح سواء كانت integer floor function أو integer ceiling function", "tokens": [3224, 15730, 21136, 33604, 6027, 23032, 3555, 3615, 995, 13412, 28820, 3224, 7251, 46456, 46538, 18871, 13412, 28820, 16247, 25513, 27884, 21136, 16758, 28671, 5551, 12610, 8608, 33604, 6027, 9957, 25961, 14407, 4724, 1829, 8592, 39237, 1211, 14407, 15844, 2423, 8236, 2158, 25062, 32640, 3660, 9673, 9566, 1211, 28671, 16070, 3794, 33604, 6027, 9957, 16712, 7649, 10632, 25961, 14407, 4724, 1829, 8592, 39237, 1211, 14407, 15844, 11778, 6027, 3660, 18863, 3215, 3215, 31767, 5016, 1829, 5016, 8608, 2407, 16606, 25961, 2655, 24922, 4123, 2445, 34051, 24922, 13655, 2445], "avg_logprob": -0.09629564539770062, "compression_ratio": 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{"start": 2474.22, "end": 2475.1, "word": " لما", "probability": 0.9423828125}, {"start": 2475.1, "end": 2475.5, "word": " θ", "probability": 0.74755859375}, {"start": 2475.5, "end": 2475.86, "word": " بدأ", "probability": 0.7099609375}, {"start": 2475.86, "end": 2476.26, "word": " تروح", "probability": 0.822021484375}, {"start": 2476.26, "end": 2476.44, "word": " ل", "probability": 0.60400390625}, {"start": 2476.44, "end": 2476.78, "word": " zero", "probability": 0.45947265625}, {"start": 2476.78, "end": 2477.04, "word": " من", "probability": 0.99267578125}, {"start": 2477.04, "end": 2477.48, "word": " جهة", "probability": 0.986328125}, {"start": 2477.48, "end": 2478.06, "word": " الشمال", "probability": 0.99267578125}, {"start": 2478.06, "end": 2478.74, "word": " لو", "probability": 0.69970703125}, {"start": 2478.74, "end": 2479.06, "word": " احنا", "probability": 0.8753255208333334}, {"start": 2479.06, "end": 2479.48, "word": " روحنا", "probability": 0.9769287109375}, {"start": 2479.48, "end": 2479.68, "word": " ل", "probability": 0.8984375}, {"start": 2479.68, "end": 2480.0, "word": " zero", "probability": 0.77294921875}, {"start": 2480.0, "end": 2480.3, "word": " من", "probability": 0.9931640625}, {"start": 2480.3, "end": 2480.74, "word": " جهة", "probability": 0.9933268229166666}, {"start": 2480.74, "end": 2481.34, "word": " الشمال", "probability": 0.9933268229166666}], "temperature": 1.0}, {"id": 103, "seek": 249907, "start": 2482.65, "end": 2499.07, "text": "يبقى الدالة الطائحة للواحد يبقى هذه بدل ساعة واحد and لو روحنا أخدنا limit ل sin θ على θ لما θ راحت لل zero من جهة اليمين", "tokens": [1829, 3555, 4587, 7578, 32748, 6027, 3660, 41950, 16373, 5016, 3660, 24976, 14407, 24401, 7251, 3555, 4587, 7578, 29538, 47525, 1211, 8608, 995, 27884, 36764, 24401, 293, 45164, 12602, 2407, 5016, 8315, 5551, 9778, 3215, 8315, 4948, 5296, 3343, 12622, 15844, 12622, 5296, 15042, 12622, 12602, 39319, 2655, 24976, 4018, 9154, 10874, 3224, 3660, 2423, 32640, 9957], 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"end": 2489.37, "word": " لو", "probability": 0.8857421875}, {"start": 2489.37, "end": 2489.77, "word": " روحنا", "probability": 0.74542236328125}, {"start": 2489.77, "end": 2490.37, "word": " أخدنا", "probability": 0.8719482421875}, {"start": 2490.37, "end": 2490.87, "word": " limit", "probability": 0.95654296875}, {"start": 2490.87, "end": 2491.57, "word": " ل", "probability": 0.90380859375}, {"start": 2491.57, "end": 2492.17, "word": " sin", "probability": 0.35546875}, {"start": 2492.17, "end": 2492.73, "word": " θ", "probability": 0.488037109375}, {"start": 2492.73, "end": 2493.55, "word": " على", "probability": 0.84033203125}, {"start": 2493.55, "end": 2494.09, "word": " θ", "probability": 0.58349609375}, {"start": 2494.09, "end": 2495.03, "word": " لما", "probability": 0.895751953125}, {"start": 2495.03, "end": 2495.37, "word": " θ", "probability": 0.303955078125}, {"start": 2495.37, "end": 2495.89, "word": " راحت", "probability": 0.7802734375}, {"start": 2495.89, "end": 2496.15, "word": " لل", "probability": 0.72265625}, {"start": 2496.15, "end": 2496.81, "word": " zero", "probability": 0.58447265625}, {"start": 2496.81, "end": 2497.65, "word": " من", "probability": 0.9921875}, {"start": 2497.65, "end": 2498.33, "word": " جهة", "probability": 0.9806315104166666}, {"start": 2498.33, "end": 2499.07, "word": " اليمين", "probability": 0.8434244791666666}], "temperature": 1.0}, {"id": 104, "seek": 252356, "start": 2500.2, "end": 2523.56, "text": "يبقى يساوي كمان؟ يساوي واحد يبقى بناء عليه ال limit اللي فوق هذا يبقى كم؟ واحد يبقى هذا بدي يعطيك دائما و أبدا ان ال limit لمين؟ ل sign theta على theta لما theta بده ��روح لل zero بده تساوي واحد", "tokens": [1829, 3555, 4587, 7578, 7251, 3794, 995, 45865, 9122, 2304, 7649, 22807, 7251, 3794, 995, 45865, 36764, 24401, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 2423, 4948, 13672, 1829, 6156, 30543, 23758, 7251, 3555, 4587, 7578, 9122, 2304, 22807, 36764, 24401, 7251, 3555, 4587, 7578, 23758, 4724, 16254, 37495, 9566, 1829, 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معرفة بهمنا الآن كيفية استخدام هذه النظرية", "tokens": [2288, 17082, 2304, 16472, 3224, 6225, 8592, 7649, 43242, 2423, 4018, 32748, 6027, 3660, 307, 674, 5666, 2001, 19446, 3224, 1829, 33599, 20449, 28480, 5296, 28814, 1863, 3224, 1465, 4018, 4724, 4018, 20328, 9640, 4018, 15844, 4018, 9122, 2304, 10632, 32771, 13546, 20449, 9957, 3660, 46599, 6027, 2655, 6027, 1829, 32748, 6027, 3660, 29538, 19446, 1211, 11296, 32771, 13546, 20449, 28480, 3660, 4724, 16095, 8315, 6024, 48506, 9122, 33911, 10632, 44713, 9778, 3215, 10943, 29538, 28239, 19913, 2288, 10632], "avg_logprob": -0.250585949793458, "compression_ratio": 1.6428571428571428, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2523.87, "end": 2524.33, "word": "رغم", "probability": 0.73095703125}, {"start": 2524.33, "end": 2524.75, "word": " انه", "probability": 0.38751220703125}, {"start": 2524.75, "end": 2525.43, "word": " عشان", "probability": 0.5068766276041666}, {"start": 2525.43, "end": 2525.87, "word": " عند", 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