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"probability": 0.9661458333333334}, {"start": 193.64, "end": 193.86, "word": " من", "probability": 0.99462890625}, {"start": 193.86, "end": 194.2, "word": " أو", "probability": 0.96337890625}, {"start": 194.2, "end": 194.82, "word": " يسوى", "probability": 0.973876953125}, {"start": 194.82, "end": 195.38, "word": " limit", "probability": 0.990234375}, {"start": 195.38, "end": 196.1, "word": " لما", "probability": 0.986572265625}, {"start": 196.1, "end": 196.26, "word": " ال", "probability": 0.87744140625}, {"start": 196.26, "end": 196.52, "word": " X", "probability": 0.99072265625}, {"start": 196.52, "end": 196.82, "word": " tends", "probability": 0.8642578125}, {"start": 196.82, "end": 197.1, "word": " to", "probability": 0.98583984375}, {"start": 197.1, "end": 197.44, "word": " C", "probability": 0.9443359375}, {"start": 197.44, "end": 197.7, "word": " لل", "probability": 0.419677734375}, {"start": 197.7, "end": 198.28, "word": " absolute", "probability": 0.8955078125}, {"start": 198.28, "end": 199.04, "word": " value", "probability": 0.9912109375}, {"start": 199.04, "end": 199.22, "word": " ل", "probability": 0.76611328125}, {"start": 199.22, "end": 199.68, "word": " F", "probability": 0.79833984375}, {"start": 199.68, "end": 200.08, "word": " of", "probability": 0.9736328125}, {"start": 200.08, "end": 200.38, "word": " X", "probability": 0.99658203125}], "temperature": 1.0}, {"id": 9, "seek": 22589, "start": 202.13, "end": 225.89, "text": "تمام؟ طيب، الان في عندي معطيات حتى الان لم استخدم هذه المعطيات، طلعلي في المعطيات تاني، ايش بتقول ليه؟ بتقول لي ال limit لل absolute value للدالة بده يساوي Zero إذا ال limit لهذه الدالة بده يساوي Zero مضروب فقداش؟ سالب Zero والله موجه ب Zero مهو بقاش؟ ب Zero", "tokens": [2655, 15042, 2304, 22807, 23032, 1829, 3555, 12399, 2423, 7649, 8978, 18871, 16254, 20449, 9566, 1829, 9307, 11331, 49975, 2423, 7649, 32767, 44713, 9778, 40448, 29538, 9673, 3615, 9566, 1829, 9307, 12399, 23032, 1211, 3615, 20292, 8978, 9673, 3615, 9566, 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عندي", "probability": 0.865966796875}, {"start": 205.47, "end": 206.07, "word": " معطيات", "probability": 0.9224853515625}, {"start": 206.07, "end": 206.51, "word": " حتى", "probability": 0.85205078125}, {"start": 206.51, "end": 206.87, "word": " الان", "probability": 0.6744384765625}, {"start": 206.87, "end": 207.15, "word": " لم", "probability": 0.95361328125}, {"start": 207.15, "end": 207.93, "word": " استخدم", "probability": 0.8544921875}, {"start": 207.93, "end": 208.39, "word": " هذه", "probability": 0.74853515625}, {"start": 208.39, "end": 209.57, "word": " المعطيات،", "probability": 0.8603515625}, {"start": 209.57, "end": 210.05, "word": " طلعلي", "probability": 0.7357177734375}, {"start": 210.05, "end": 210.17, "word": " في", "probability": 0.763671875}, {"start": 210.17, "end": 210.93, "word": " المعطيات", "probability": 0.9720703125}, {"start": 210.93, "end": 211.61, "word": " تاني،", "probability": 0.685546875}, {"start": 211.61, "end": 211.93, "word": " ايش", "probability": 0.8165690104166666}, {"start": 211.93, "end": 212.37, "word": " بتقول", "probability": 0.975341796875}, {"start": 212.37, "end": 213.05, "word": " ليه؟", "probability": 0.6977945963541666}, {"start": 213.05, "end": 213.49, "word": " بتقول", "probability": 0.974609375}, {"start": 213.49, "end": 213.59, "word": " لي", "probability": 0.56103515625}, {"start": 213.59, "end": 213.71, "word": " ال", "probability": 0.357177734375}, {"start": 213.71, "end": 213.99, "word": " limit", "probability": 0.86865234375}, {"start": 213.99, "end": 214.25, "word": " لل", "probability": 0.82470703125}, {"start": 214.25, "end": 214.91, "word": " absolute", "probability": 0.95751953125}, {"start": 214.91, "end": 215.79, "word": " value", "probability": 0.994140625}, {"start": 215.79, "end": 216.45, "word": " للدالة", "probability": 0.6434326171875}, {"start": 216.45, "end": 216.65, "word": " بده", "probability": 0.304931640625}, {"start": 216.65, "end": 217.01, "word": " يساوي", "probability": 0.84130859375}, {"start": 217.01, "end": 217.37, "word": " Zero", "probability": 0.2548828125}, {"start": 217.37, "end": 218.05, "word": " إذا", "probability": 0.741943359375}, {"start": 218.05, "end": 218.23, "word": " ال", "probability": 0.912109375}, {"start": 218.23, "end": 218.55, "word": " limit", "probability": 0.9716796875}, {"start": 218.55, "end": 219.11, "word": " لهذه", "probability": 0.927978515625}, {"start": 219.11, "end": 219.51, "word": " الدالة", "probability": 0.9816080729166666}, {"start": 219.51, "end": 219.71, "word": " بده", "probability": 0.979248046875}, {"start": 219.71, "end": 220.01, "word": " يساوي", "probability": 0.9813232421875}, {"start": 220.01, "end": 220.29, "word": " Zero", "probability": 0.916015625}, {"start": 220.29, "end": 220.73, "word": " مضروب", "probability": 0.920654296875}, {"start": 220.73, "end": 221.59, "word": " فقداش؟", "probability": 0.6588134765625}, {"start": 221.59, "end": 222.73, "word": " سالب", "probability": 0.77294921875}, {"start": 222.73, "end": 223.09, "word": " Zero", "probability": 0.9208984375}, {"start": 223.09, "end": 223.51, "word": " والله", "probability": 0.666015625}, {"start": 223.51, "end": 223.93, "word": " موجه", "probability": 0.7648111979166666}, {"start": 223.93, "end": 224.05, "word": " ب", "probability": 0.67822265625}, {"start": 224.05, "end": 224.31, "word": " Zero", "probability": 0.79052734375}, {"start": 224.31, "end": 224.73, "word": " مهو", "probability": 0.4728190104166667}, {"start": 224.73, "end": 225.43, "word": " بقاش؟", "probability": 0.58892822265625}, {"start": 225.43, "end": 225.53, "word": " ب", "probability": 0.92236328125}, {"start": 225.53, "end": 225.89, "word": " Zero", "probability": 0.82666015625}], "temperature": 1.0}, {"id": 10, "seek": 25567, "start": 226.43, "end": 255.67, "text": "أقل من أو يساوي ال limit لما ال X بدي روح ل C لل F of X أقل من أو يساوي هذه معطاب من B0 صار limit الطرف الشمال يساوي limit الطرف اليمنى يبقى ال limit للدلة اللى فى النصف بدي يساوي نفس القيمة by sandwich theorem بروح بقوله by sandwich theorem we have", "tokens": [10721, 4587, 1211, 9154, 34051, 7251, 3794, 995, 45865, 2423, 4948, 5296, 15042, 2423, 1783, 4724, 16254, 12602, 2407, 5016, 5296, 383, 24976, 479, 295, 1783, 5551, 4587, 1211, 9154, 34051, 7251, 3794, 995, 45865, 29538, 20449, 9566, 16758, 9154, 363, 15, 20328, 9640, 4948, 41950, 28480, 25124, 2304, 6027, 7251, 3794, 995, 45865, 4948, 41950, 28480, 45595, 27842, 7578, 7251, 3555, 4587, 7578, 2423, 4948, 24976, 3215, 37977, 13672, 7578, 6156, 7578, 28239, 9381, 5172, 4724, 16254, 7251, 3794, 995, 45865, 8717, 36178, 25062, 32640, 3660, 538, 11141, 20904, 4724, 32887, 5016, 4724, 39648, 3224, 538, 11141, 20904, 321, 362], "avg_logprob": -0.241421563076038, "compression_ratio": 1.8390243902439025, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 226.43, "end": 227.11, "word": "أقل", "probability": 0.805908203125}, {"start": 227.11, "end": 227.35, "word": " من", 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231.57, "end": 231.87, "word": " F", "probability": 0.87890625}, {"start": 231.87, "end": 232.09, "word": " of", "probability": 0.80078125}, {"start": 232.09, "end": 232.39, "word": " X", "probability": 0.99365234375}, {"start": 232.39, "end": 233.07, "word": " أقل", "probability": 0.9314778645833334}, {"start": 233.07, "end": 233.31, "word": " من", "probability": 0.9951171875}, {"start": 233.31, "end": 233.65, "word": " أو", "probability": 0.95654296875}, {"start": 233.65, "end": 234.49, "word": " يساوي", "probability": 0.9884033203125}, {"start": 234.49, "end": 235.23, "word": " هذه", "probability": 0.552734375}, {"start": 235.23, "end": 235.95, "word": " معطاب", "probability": 0.7306315104166666}, {"start": 235.95, "end": 236.29, "word": " من", "probability": 0.2197265625}, {"start": 236.29, "end": 237.21, "word": " B0", "probability": 0.5982666015625}, {"start": 237.21, "end": 238.15, "word": " صار", "probability": 0.6412353515625}, {"start": 238.15, "end": 238.43, "word": " limit", "probability": 0.465087890625}, {"start": 238.43, "end": 239.03, "word": " الطرف", "probability": 0.949462890625}, {"start": 239.03, "end": 239.95, "word": " الشمال", "probability": 0.9874674479166666}, {"start": 239.95, "end": 240.71, "word": " يساوي", "probability": 0.9737548828125}, {"start": 240.71, "end": 241.01, "word": " limit", "probability": 0.9228515625}, {"start": 241.01, "end": 241.57, "word": " الطرف", "probability": 0.970458984375}, {"start": 241.57, "end": 242.05, "word": " اليمنى", "probability": 0.81640625}, {"start": 242.05, "end": 242.25, "word": " يبقى", "probability": 0.80352783203125}, {"start": 242.25, "end": 242.41, "word": " ال", "probability": 0.390625}, {"start": 242.41, "end": 242.67, "word": " limit", "probability": 0.96435546875}, {"start": 242.67, "end": 243.19, "word": " للدلة", "probability": 0.5322265625}, {"start": 243.19, "end": 243.35, "word": " اللى", "probability": 0.799072265625}, {"start": 243.35, "end": 243.51, "word": " فى", "probability": 0.694580078125}, {"start": 243.51, "end": 244.15, "word": " النصف", "probability": 0.7589518229166666}, {"start": 244.15, "end": 244.47, "word": " بدي", "probability": 0.826416015625}, {"start": 244.47, "end": 244.81, "word": " يساوي", "probability": 0.85308837890625}, {"start": 244.81, "end": 245.09, "word": " نفس", "probability": 0.997314453125}, {"start": 245.09, "end": 245.57, "word": " القيمة", "probability": 0.9549153645833334}, {"start": 245.57, "end": 245.77, "word": " by", "probability": 0.615234375}, {"start": 245.77, "end": 246.15, "word": " sandwich", "probability": 0.9033203125}, {"start": 246.15, "end": 246.71, "word": " theorem", "probability": 0.8837890625}, {"start": 246.71, "end": 247.53, "word": " بروح", "probability": 0.9820963541666666}, {"start": 247.53, "end": 248.19, "word": " بقوله", "probability": 0.93212890625}, {"start": 248.19, "end": 248.69, "word": " by", "probability": 0.7158203125}, {"start": 248.69, "end": 251.01, "word": " sandwich", "probability": 0.935546875}, {"start": 251.01, "end": 252.73, "word": " theorem", "probability": 0.853515625}, {"start": 252.73, "end": 254.97, "word": " we", "probability": 0.88916015625}, {"start": 254.97, "end": 255.67, "word": " have", "probability": 0.96728515625}], "temperature": 1.0}, {"id": 11, "seek": 28333, "start": 258.36, "end": 283.34, "text": "Limit للـ F of X لما الـ X بده يروح إلى C يساوي Zero وهو المطلوب بدنا نعطي مثال على ذلك Example Find Limit لما الـ X بدها تروح لـ Zero للـ X في الـSin 1 على X", "tokens": [43, 332, 270, 24976, 39184, 479, 295, 1783, 5296, 15042, 2423, 39184, 1783, 47525, 3224, 7251, 32887, 5016, 30731, 383, 7251, 3794, 995, 45865, 17182, 37037, 2407, 9673, 9566, 1211, 37746, 47525, 8315, 8717, 3615, 9566, 1829, 50113, 6027, 15844, 29910, 23275, 24755, 781, 11809, 16406, 270, 5296, 15042, 2423, 39184, 1783, 47525, 11296, 6055, 32887, 5016, 5296, 39184, 17182, 24976, 39184, 1783, 8978, 2423, 39184, 50, 259, 502, 15844, 1783], "avg_logprob": -0.3194444568620788, "compression_ratio": 1.4539877300613497, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 258.35999999999996, "end": 259.21999999999997, "word": "Limit", "probability": 0.6813151041666666}, {"start": 259.21999999999997, "end": 260.08, "word": " للـ", "probability": 0.42401123046875}, {"start": 260.08, "end": 260.32, "word": " F", "probability": 0.373291015625}, {"start": 260.32, "end": 260.7, "word": " of", "probability": 0.7109375}, {"start": 260.7, "end": 261.14, "word": " X", "probability": 0.97900390625}, {"start": 261.14, "end": 261.52, "word": " لما", "probability": 0.7353515625}, {"start": 261.52, "end": 261.7, "word": " الـ", "probability": 0.6591796875}, {"start": 261.7, "end": 261.96, "word": " X", "probability": 0.9443359375}, {"start": 261.96, "end": 262.36, "word": " بده", "probability": 0.5574951171875}, {"start": 262.36, "end": 262.6, "word": " يروح", "probability": 0.95751953125}, {"start": 262.6, "end": 262.88, "word": " إلى", "probability": 0.53369140625}, {"start": 262.88, "end": 263.24, "word": " C", "probability": 0.7158203125}, {"start": 263.24, "end": 264.22, "word": " يساوي", "probability": 0.78515625}, {"start": 264.22, "end": 264.8, "word": " Zero", "probability": 0.5546875}, {"start": 264.8, "end": 265.52, "word": " وهو", "probability": 0.879638671875}, {"start": 265.52, "end": 266.8, "word": " المطلوب", "probability": 0.9755859375}, {"start": 266.8, "end": 267.72, "word": " بدنا", "probability": 0.56634521484375}, {"start": 267.72, "end": 268.12, "word": " نعطي", "probability": 0.99072265625}, {"start": 268.12, "end": 268.86, "word": " مثال", "probability": 0.98779296875}, {"start": 268.86, "end": 269.16, "word": " على", "probability": 0.826171875}, {"start": 269.16, "end": 269.72, "word": " ذلك", "probability": 0.99169921875}, {"start": 269.72, "end": 271.78, "word": " Example", "probability": 0.667724609375}, {"start": 271.78, "end": 273.64, "word": " Find", "probability": 0.413330078125}, 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اليمين تبقى ال X بالموجب وإذا راحت ل zero من جهة الشمال تبقى ال X الزائب السالب يبقى الاحتمال انه وردات لكن لما كانت X تربية صار الاحتمال واحد فقط", "tokens": [1211, 19452, 5296, 15042, 6055, 3555, 4587, 7578, 1783, 1975, 33753, 2304, 6027, 1783, 6055, 30544, 3714, 29245, 3555, 1975, 33753, 2304, 6027, 6055, 30544, 8608, 6027, 3555, 32239, 8592, 5296, 28814, 1863, 1783, 47525, 11296, 6055, 32887, 5016, 24976, 4018, 7251, 3555, 4587, 7578, 11933, 15730, 12602, 39319, 2655, 5296, 4018, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 6055, 3555, 4587, 7578, 2423, 1783, 20666, 2304, 29245, 3555, 4032, 28814, 15730, 12602, 39319, 2655, 5296, 4018, 9154, 10874, 3224, 3660, 25124, 2304, 6027, 6055, 3555, 4587, 7578, 2423, 1783, 6024, 110, 16373, 3555, 21136, 6027, 3555, 7251, 3555, 4587, 7578, 42963, 33753, 2304, 6027, 16472, 3224, 4032, 2288, 3215, 9307, 44381, 5296, 15042, 25961, 2655, 1783, 6055, 25513, 10632, 20328, 9640, 42963, 33753, 2304, 6027, 36764, 24401, 6156, 47432], "avg_logprob": 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"word": " لما", "probability": 0.931396484375}, {"start": 332.0, "end": 332.46, "word": " كانت", "probability": 0.958740234375}, {"start": 332.46, "end": 332.68, "word": " X", "probability": 0.97412109375}, {"start": 332.68, "end": 333.26, "word": " تربية", "probability": 0.9147135416666666}, {"start": 333.26, "end": 334.08, "word": " صار", "probability": 0.6942138671875}, {"start": 334.08, "end": 335.24, "word": " الاحتمال", "probability": 0.9820556640625}, {"start": 335.24, "end": 336.04, "word": " واحد", "probability": 0.982666015625}, {"start": 336.04, "end": 336.56, "word": " فقط", "probability": 0.994873046875}], "temperature": 1.0}, {"id": 14, "seek": 34201, "start": 338.77, "end": 342.01, "text": "سنحل هذه المسألة", "tokens": [3794, 1863, 5016, 1211, 29538, 9673, 3794, 10721, 37977], "avg_logprob": -0.31933594644069674, "compression_ratio": 0.7317073170731707, "no_speech_prob": 0.0, "words": [{"start": 338.77000000000004, "end": 340.17, "word": "سنحل", "probability": 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المرة", "probability": 0.98046875}, {"start": 358.77, "end": 358.97, "word": " اللي", "probability": 0.9306640625}, {"start": 358.97, "end": 359.43, "word": " فاتتي", "probability": 0.7579752604166666}, {"start": 359.43, "end": 359.69, "word": " بقى", "probability": 0.596923828125}, {"start": 359.69, "end": 359.93, "word": " بدي", "probability": 0.885009765625}, {"start": 359.93, "end": 360.29, "word": " اقول", "probability": 0.797119140625}, {"start": 360.29, "end": 360.89, "word": " sign", "probability": 0.52978515625}, {"start": 360.89, "end": 361.49, "word": " واحد", "probability": 0.859130859375}, {"start": 361.49, "end": 361.77, "word": " على", "probability": 0.82421875}, {"start": 361.77, "end": 362.11, "word": " X", "probability": 0.443603515625}, {"start": 362.11, "end": 362.95, "word": " أكبر", "probability": 0.9319661458333334}, {"start": 362.95, "end": 363.17, "word": " من", "probability": 0.9892578125}, {"start": 363.17, "end": 363.37, "word": " أو", "probability": 0.796875}, {"start": 363.37, "end": 363.89, "word": " يسوى", "probability": 0.80560302734375}, {"start": 363.89, "end": 364.49, "word": " سالب", "probability": 0.8369140625}, {"start": 364.49, "end": 364.99, "word": " واحد", "probability": 0.98193359375}, {"start": 364.99, "end": 365.51, "word": " وموجب", "probability": 0.843505859375}, {"start": 365.51, "end": 365.87, "word": " واحد", "probability": 0.992431640625}, {"start": 365.87, "end": 366.61, "word": " لكن", "probability": 0.86865234375}, {"start": 366.61, "end": 367.01, "word": " لو", "probability": 0.97705078125}, {"start": 367.01, "end": 367.45, "word": " قلت", "probability": 0.88232421875}, {"start": 367.45, "end": 368.13, "word": " absolute", "probability": 0.96923828125}, {"start": 368.13, "end": 369.03, "word": " value", "probability": 0.9833984375}, {"start": 369.03, "end": 369.23, "word": " ل", "probability": 0.5859375}, {"start": 369.23, "end": 369.57, "word": " sign", "probability": 0.70947265625}, {"start": 369.57, "end": 370.05, "word": " واحد", "probability": 0.988037109375}, {"start": 370.05, "end": 370.27, "word": " على", "probability": 0.888671875}, {"start": 370.27, "end": 370.51, "word": " X", "probability": 0.97802734375}, {"start": 370.51, "end": 371.17, "word": " بصير", "probability": 0.8279622395833334}, {"start": 371.17, "end": 371.31, "word": " من", "probability": 0.9677734375}, {"start": 371.31, "end": 371.45, "word": " هو", "probability": 0.48388671875}, {"start": 371.45, "end": 371.59, "word": " اللي", "probability": 0.6610107421875}, {"start": 371.59, "end": 371.99, "word": " وين؟", "probability": 0.7908528645833334}], "temperature": 1.0}, {"id": 16, "seek": 38737, "start": 372.73, "end": 387.37, "text": "من zero لغاية واحد لأن هذا absolute value لا يمكن أن يطلع لي قيمة سالبة يبقى من zero لغاية واحد ممتازة الحين لو كنت أضرب في X هذه", "tokens": [27842, 4018, 5296, 17082, 995, 10632, 36764, 24401, 5296, 33456, 23758, 8236, 2158, 20193, 7251, 43020, 14739, 7251, 9566, 1211, 3615, 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{"start": 378.27, "end": 378.85, "word": " لا", "probability": 0.53125}, {"start": 378.85, "end": 379.45, "word": " يمكن", "probability": 0.763671875}, {"start": 379.45, "end": 379.69, "word": " أن", "probability": 0.470703125}, {"start": 379.69, "end": 380.21, "word": " يطلع", "probability": 0.8349609375}, {"start": 380.21, "end": 380.35, "word": " لي", "probability": 0.408935546875}, {"start": 380.35, "end": 381.03, "word": " قيمة", "probability": 0.7964680989583334}, {"start": 381.03, "end": 381.63, "word": " سالبة", "probability": 0.6302083333333334}, {"start": 381.63, "end": 382.25, "word": " يبقى", "probability": 0.890869140625}, {"start": 382.25, "end": 382.39, "word": " من", "probability": 0.97900390625}, {"start": 382.39, "end": 382.83, "word": " zero", "probability": 0.66357421875}, {"start": 382.83, "end": 383.47, "word": " لغاية", "probability": 0.993896484375}, {"start": 383.47, "end": 383.83, "word": " واحد", "probability": 0.98974609375}, {"start": 383.83, "end": 384.59, "word": " ممتازة", "probability": 0.795263671875}, {"start": 384.59, "end": 385.33, "word": " الحين", "probability": 0.610595703125}, {"start": 385.33, "end": 385.51, "word": " لو", "probability": 0.94189453125}, {"start": 385.51, "end": 385.77, "word": " كنت", "probability": 0.83056640625}, {"start": 385.77, "end": 386.31, "word": " أضرب", "probability": 0.8098958333333334}, {"start": 386.31, "end": 386.55, "word": " في", "probability": 0.8857421875}, {"start": 386.55, "end": 386.97, "word": " X", "probability": 0.59130859375}, {"start": 386.97, "end": 387.37, "word": " هذه", "probability": 0.640625}], "temperature": 1.0}, {"id": 17, "seek": 40654, "start": 388.02, "end": 406.54, "text": "بصير لو كانت موجبة ال inequality بتبقى كما هي لو كانت سالبة تنقلب ال inequality وبالتالي وردنا مظبوط مشان نتخلص من هذه المشكلة دي براح بدرم في مين في absolute value اكس absolute value اكس دائما و أبدا تزيد تفوى بالتالي ماعندي مشكلة", "tokens": [3555, 9381, 13546, 45164, 25961, 2655, 3714, 29245, 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"word": " وبالتالي", "probability": 0.924609375}, {"start": 394.76, "end": 395.36, "word": " وردنا", "probability": 0.7171630859375}, {"start": 395.36, "end": 396.38, "word": " مظبوط", "probability": 0.829345703125}, {"start": 396.38, "end": 397.0, "word": " مشان", "probability": 0.5687255859375}, {"start": 397.0, "end": 397.62, "word": " نتخلص", "probability": 0.889599609375}, {"start": 397.62, "end": 397.76, "word": " من", "probability": 0.97705078125}, {"start": 397.76, "end": 397.88, "word": " هذه", "probability": 0.41650390625}, {"start": 397.88, "end": 398.52, "word": " المشكلة", "probability": 0.980712890625}, {"start": 398.52, "end": 398.62, "word": " دي", "probability": 0.800537109375}, {"start": 398.62, "end": 398.9, "word": " براح", "probability": 0.7522786458333334}, {"start": 398.9, "end": 399.28, "word": " بدرم", "probability": 0.6586100260416666}, {"start": 399.28, "end": 399.44, "word": " في", "probability": 0.6005859375}, {"start": 399.44, "end": 399.8, "word": " مين", "probability": 0.78564453125}, {"start": 399.8, "end": 400.36, "word": " في", "probability": 0.60791015625}, {"start": 400.36, "end": 400.88, "word": " absolute", "probability": 0.8955078125}, {"start": 400.88, "end": 401.34, "word": " value", "probability": 0.96923828125}, {"start": 401.34, "end": 401.66, "word": " اكس", "probability": 0.6796468098958334}, {"start": 401.66, "end": 401.94, "word": " absolute", "probability": 0.5380859375}, {"start": 401.94, "end": 402.38, "word": " value", "probability": 0.98583984375}, {"start": 402.38, "end": 402.74, "word": " اكس", "probability": 0.8977864583333334}, {"start": 402.74, "end": 403.06, "word": " دائما", "probability": 0.837890625}, {"start": 403.06, "end": 403.18, "word": " و", "probability": 0.802734375}, {"start": 403.18, "end": 403.64, "word": " أبدا", "probability": 0.7176106770833334}, {"start": 403.64, "end": 404.5, "word": " تزيد", "probability": 0.6829427083333334}, {"start": 404.5, "end": 404.88, "word": " تفوى", "probability": 0.7237548828125}, {"start": 404.88, "end": 405.34, "word": " بالتالي", "probability": 0.813720703125}, {"start": 405.34, "end": 406.04, "word": " ماعندي", "probability": 0.9580078125}, {"start": 406.04, "end": 406.54, "word": " مشكلة", "probability": 0.97509765625}], "temperature": 1.0}, {"id": 18, "seek": 42743, "start": 406.63, "end": 427.43, "text": "تبقى الـ Inquality كما هي، طبعا، يبقى لو روحت ضربت في absolute value ل X بس يبقى ال mean is zero أقل من أو يسوى absolute value ل X في ال sign واحد على X ك absolute value أقل من أو يسوى absolute value ل X", "tokens": [2655, 3555, 4587, 7578, 2423, 39184, 682, 11286, 9122, 15042, 39896, 12399, 23032, 3555, 3615, 995, 12399, 7251, 3555, 4587, 7578, 45164, 12602, 2407, 33753, 48812, 25513, 2655, 8978, 8236, 2158, 5296, 1783, 4724, 3794, 7251, 3555, 4587, 7578, 2423, 914, 307, 4018, 5551, 4587, 1211, 9154, 34051, 7251, 3794, 2407, 7578, 8236, 2158, 5296, 1783, 8978, 2423, 1465, 36764, 24401, 15844, 1783, 9122, 8236, 2158, 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بمعنى آخر هذه بقدر أقول كالتالي هذه عندك zero أقل من أو يسوى absolute value ل X في sin 1 على X أقل من أو يسوى absolute value ل X", "tokens": [10721, 2407, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 29538, 4724, 28543, 2288, 5551, 39648, 9122, 6027, 2655, 6027, 1829, 29538, 43242, 4117, 4018, 5551, 4587, 1211, 9154, 34051, 7251, 3794, 2407, 7578, 8236, 2158, 5296, 1783, 8978, 3343, 502, 15844, 1783, 5551, 4587, 1211, 9154, 34051, 7251, 3794, 2407, 7578, 8236, 2158, 5296, 1783], "avg_logprob": -0.24288503985319818, "compression_ratio": 1.4885496183206106, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 428.03, "end": 428.39, "word": "أو", "probability": 0.780517578125}, {"start": 428.39, "end": 429.07, "word": " بمعنى", "probability": 0.9740234375}, {"start": 429.07, "end": 429.73, "word": " آخر", "probability": 0.736328125}, {"start": 429.73, "end": 430.61, "word": " هذه", "probability": 0.2054443359375}, {"start": 430.61, "end": 431.17, "word": " بقدر", "probability": 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"probability": 0.9560546875}, {"start": 444.03, "end": 444.33, "word": " X", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 20, "seek": 47219, "start": 445.77, "end": 472.19, "text": "أبسلوت في أبسلوت في أبسلوت واحدة لماذا؟ لأنه من خواص ال absolute value أخدنا absolute value ل a بي ثم absolute value ل a في absolute value ل b هذه إحدى خواص ال absolute value تمام؟ طيب، استنى شوية، بنروح ناخد limit لهذه ال inequality يبقى بناء عليه، بيصير عندنا ال limit", "tokens": [10721, 3555, 3794, 1211, 35473, 8978, 5551, 3555, 3794, 1211, 35473, 8978, 5551, 3555, 3794, 1211, 35473, 36764, 24401, 3660, 32767, 45636, 995, 22807, 5296, 33456, 3224, 9154, 16490, 2407, 33546, 2423, 8236, 2158, 5551, 9778, 3215, 8315, 8236, 2158, 5296, 257, 4724, 1829, 38637, 2304, 8236, 2158, 5296, 257, 8978, 8236, 2158, 5296, 272, 29538, 11933, 24401, 7578, 16490, 2407, 33546, 2423, 8236, 2158, 46811, 10943, 22807, 23032, 1829, 3555, 12399, 44713, 1863, 7578, 13412, 2407, 10632, 12399, 4724, 1863, 32887, 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493.29, "end": 493.45, "word": " ل", "probability": 0.81982421875}, {"start": 493.45, "end": 493.95, "word": " absolute", "probability": 0.92626953125}, {"start": 493.95, "end": 494.57, "word": " value", "probability": 0.99072265625}, {"start": 494.57, "end": 494.75, "word": " ل", "probability": 0.8779296875}, {"start": 494.75, "end": 495.01, "word": " X", "probability": 0.87353515625}], "temperature": 1.0}, {"id": 22, "seek": 52083, "start": 495.75, "end": 520.83, "text": "الان نهاية المقدار الثابت بالمقدار الثابت itself أقل من أو يساوي ال limit لما ال X بده يروح ل 0 لل absolute value لل X في sin 1 على X أقل من أو يساوي جداش ال limit لهذه الدالة؟ Zero اللي مايعرفش يتذكر لرسمة ال absolute value", "tokens": [6027, 7649, 8717, 11296, 10632, 9673, 28543, 9640, 6024, 104, 16758, 2655, 20666, 2304, 28543, 9640, 6024, 104, 16758, 2655, 2564, 5551, 4587, 1211, 9154, 34051, 7251, 3794, 995, 45865, 2423, 4948, 5296, 15042, 2423, 1783, 47525, 3224, 7251, 32887, 5016, 5296, 1958, 24976, 8236, 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"end": 1031.44, "word": " لإن", "probability": 0.7862955729166666}, {"start": 1031.44, "end": 1031.76, "word": " هذا", "probability": 0.818359375}, {"start": 1031.76, "end": 1031.94, "word": " ال", "probability": 0.8271484375}, {"start": 1031.94, "end": 1032.4, "word": " section", "probability": 0.84228515625}, {"start": 1032.4, "end": 1033.98, "word": " السهل", "probability": 0.9401041666666666}, {"start": 1033.98, "end": 1035.74, "word": " الممتنع", "probability": 0.90439453125}], "temperature": 1.0}, {"id": 42, "seek": 106078, "start": 1036.58, "end": 1060.78, "text": "يعني في حد ذاته سهل لكن كلكوا هتداجوا منه من أولكوا الى آخركوا تمام رغم أنه سهل لكن ممكن يبقى فاتح معايا انا همشي معاك step by step تمام فبيقول ليش in this section في هذا ال section we does not tell how to find a limit of a function احنا مش هنقولك كيف توجد النهاية ل function هشوفنا نعمل", "tokens": [40228, 22653, 8978, 11331, 3215, 29910, 9307, 3224, 8608, 3224, 1211, 44381, 28242, 4117, 14407, 8032, 2655, 3215, 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{"start": 1037.66, "end": 1037.94, "word": " ذاته", "probability": 0.9796549479166666}, {"start": 1037.94, "end": 1038.28, "word": " سهل", "probability": 0.9943033854166666}, {"start": 1038.28, "end": 1038.56, "word": " لكن", "probability": 0.87646484375}, {"start": 1038.56, "end": 1039.06, "word": " كلكوا", "probability": 0.6090494791666666}, {"start": 1039.06, "end": 1039.74, "word": " هتداجوا", "probability": 0.6451416015625}, {"start": 1039.74, "end": 1040.14, "word": " منه", "probability": 0.969970703125}, {"start": 1040.14, "end": 1040.56, "word": " من", "probability": 0.7294921875}, {"start": 1040.56, "end": 1041.18, "word": " أولكوا", "probability": 0.940185546875}, {"start": 1041.18, "end": 1041.38, "word": " الى", "probability": 0.6746826171875}, {"start": 1041.38, "end": 1042.2, "word": " آخركوا", "probability": 0.8453369140625}, {"start": 1042.2, "end": 1042.56, "word": " تمام", "probability": 0.753662109375}, {"start": 1042.56, "end": 1042.84, "word": " رغم", 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"probability": 0.87841796875}, {"start": 1056.74, "end": 1056.96, "word": " مش", "probability": 0.87548828125}, {"start": 1056.96, "end": 1057.56, "word": " هنقولك", "probability": 0.9404296875}, {"start": 1057.56, "end": 1057.8, "word": " كيف", "probability": 0.970703125}, {"start": 1057.8, "end": 1058.24, "word": " توجد", "probability": 0.8670247395833334}, {"start": 1058.24, "end": 1058.72, "word": " النهاية", "probability": 0.8229166666666666}, {"start": 1058.72, "end": 1058.86, "word": " ل", "probability": 0.8154296875}, {"start": 1058.86, "end": 1059.38, "word": " function", "probability": 0.70849609375}, {"start": 1059.38, "end": 1060.26, "word": " هشوفنا", "probability": 0.5609130859375}, {"start": 1060.26, "end": 1060.78, "word": " نعمل", "probability": 0.9905598958333334}], "temperature": 1.0}, {"id": 43, "seek": 108874, "start": 1060.98, "end": 1088.74, "text": "But we verify بإن نتأكد أو نتحقق من إن Suspected limit النهاية المقترحة Suspected يعني مقترح is correct تكون نهاية صحية يبقى هذا كل شغلنا في هذا section بيعطينا limit واني بتتحقق او اتأكد ان هذه ال limit هي صحيحة للدالة المطار طب ان نشوف ايش ال definition اللي بدي اعطاه هنا", "tokens": [7835, 321, 16888, 4724, 28814, 1863, 8717, 2655, 10721, 4117, 3215, 34051, 8717, 2655, 5016, 4587, 4587, 9154, 36145, 9545, 10729, 4948, 28239, 11296, 10632, 9673, 38149, 2288, 5016, 3660, 9545, 10729, 37495, 22653, 3714, 38149, 2288, 5016, 307, 3006, 6055, 30544, 8717, 11296, 10632, 20328, 5016, 10632, 7251, 3555, 4587, 7578, 23758, 28242, 13412, 17082, 1211, 8315, 8978, 23758, 3541, 4724, 1829, 3615, 9566, 1829, 8315, 4948, 4032, 7649, 1829, 39894, 2655, 5016, 4587, 4587, 1975, 2407, 1975, 2655, 10721, 4117, 3215, 16472, 29538, 2423, 4948, 39896, 20328, 5016, 1829, 5016, 3660, 24976, 3215, 6027, 3660, 9673, 9566, 9640, 23032, 3555, 16472, 8717, 8592, 38688, 1975, 1829, 8592, 2423, 7123, 13672, 1829, 4724, 16254, 1975, 3615, 9566, 40294, 34105], "avg_logprob": -0.23101756887987626, "compression_ratio": 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1076.26, "end": 1076.78, "word": " كل", "probability": 0.9677734375}, {"start": 1076.78, "end": 1077.42, "word": " شغلنا", "probability": 0.9805908203125}, {"start": 1077.42, "end": 1077.58, "word": " في", "probability": 0.9853515625}, {"start": 1077.58, "end": 1077.84, "word": " هذا", "probability": 0.78076171875}, {"start": 1077.84, "end": 1078.3, "word": " section", "probability": 0.587890625}, {"start": 1078.3, "end": 1079.28, "word": " بيعطينا", "probability": 0.7699788411458334}, {"start": 1079.28, "end": 1079.68, "word": " limit", "probability": 0.9033203125}, {"start": 1079.68, "end": 1080.32, "word": " واني", "probability": 0.6168619791666666}, {"start": 1080.32, "end": 1081.12, "word": " بتتحقق", "probability": 0.84306640625}, {"start": 1081.12, "end": 1081.28, "word": " او", "probability": 0.705322265625}, {"start": 1081.28, "end": 1081.9, "word": " اتأكد", "probability": 0.84580078125}, {"start": 1081.9, "end": 1082.14, "word": " ان", "probability": 0.767578125}, {"start": 1082.14, "end": 1082.5, "word": " هذه", "probability": 0.96337890625}, {"start": 1082.5, "end": 1082.68, "word": " ال", "probability": 0.47412109375}, {"start": 1082.68, "end": 1082.96, "word": " limit", "probability": 0.93896484375}, {"start": 1082.96, "end": 1083.72, "word": " هي", "probability": 0.92822265625}, {"start": 1083.72, "end": 1084.66, "word": " صحيحة", "probability": 0.93486328125}, {"start": 1084.66, "end": 1085.22, "word": " للدالة", "probability": 0.895263671875}, {"start": 1085.22, "end": 1085.78, "word": " المطار", "probability": 0.5760904947916666}, {"start": 1085.78, "end": 1086.5, "word": " طب", "probability": 0.82666015625}, {"start": 1086.5, "end": 1086.64, "word": " ان", "probability": 0.349365234375}, {"start": 1086.64, "end": 1087.0, "word": " نشوف", "probability": 0.9171549479166666}, {"start": 1087.0, "end": 1087.22, "word": " ايش", "probability": 0.8846028645833334}, {"start": 1087.22, "end": 1087.34, "word": " ال", "probability": 0.9228515625}, {"start": 1087.34, "end": 1087.74, "word": " definition", "probability": 0.94140625}, {"start": 1087.74, "end": 1087.98, "word": " اللي", "probability": 0.93994140625}, {"start": 1087.98, "end": 1088.22, "word": " بدي", "probability": 0.763916015625}, {"start": 1088.22, "end": 1088.52, "word": " اعطاه", "probability": 0.724853515625}, {"start": 1088.52, "end": 1088.74, "word": " هنا", "probability": 0.80029296875}], "temperature": 1.0}, {"id": 44, "seek": 110541, "start": 1089.09, "end": 1105.41, "text": "جالي الـ definition لتلف بـ function defined على an open interval containing x node except possibly مادة ممكن عند x node itself", "tokens": [7435, 6027, 1829, 2423, 39184, 7123, 5296, 2655, 46538, 4724, 39184, 2445, 7642, 15844, 364, 1269, 15035, 19273, 2031, 9984, 3993, 6264, 3714, 18513, 3660, 3714, 43020, 43242, 2031, 9984, 2564], "avg_logprob": -0.5136718470603228, "compression_ratio": 1.203125, "no_speech_prob": 0.0, "words": [{"start": 1089.09, "end": 1089.59, "word": "جالي", "probability": 0.4252115885416667}, {"start": 1089.59, "end": 1089.65, "word": " الـ", "probability": 0.4132080078125}, {"start": 1089.65, "end": 1090.03, "word": " definition", "probability": 0.685546875}, {"start": 1090.03, "end": 1090.73, "word": " لتلف", "probability": 0.4798177083333333}, {"start": 1090.73, "end": 1091.01, "word": " بـ", "probability": 0.67724609375}, {"start": 1091.01, "end": 1091.49, "word": " function", "probability": 0.31982421875}, {"start": 1091.49, "end": 1092.11, "word": " defined", "probability": 0.8330078125}, {"start": 1092.11, "end": 1092.45, "word": " على", "probability": 0.775390625}, {"start": 1092.45, "end": 1092.73, "word": " an", "probability": 0.2998046875}, {"start": 1092.73, "end": 1093.15, "word": " open", "probability": 0.92626953125}, {"start": 1093.15, "end": 1093.95, "word": " interval", "probability": 0.97314453125}, {"start": 1093.95, "end": 1094.91, "word": " containing", "probability": 0.9208984375}, {"start": 1094.91, "end": 1095.49, 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"probability": 0.9417724609375}, {"start": 2169.41, "end": 2169.81, "word": " يصر", "probability": 0.6598307291666666}], "temperature": 1.0}, {"id": 92, "seek": 219809, "start": 2169.99, "end": 2198.09, "text": "معندوش أصلا طيب نبدأ ناخد بعض أمثلة على هذا وسنبدأ بالتسلسل بأبسط أنواع الأمثلة ثم لا تقل شوية ثم لا تقل شوية لغاية ما تستوعب الموضوع بدنا نيجي لأول مثال بيقول ما يأتي يبقى example one show that show", "tokens": [2304, 3615, 41260, 2407, 8592, 5551, 9381, 15040, 23032, 1829, 3555, 8717, 44510, 10721, 8717, 47283, 3215, 45030, 11242, 5551, 2304, 12984, 37977, 15844, 23758, 46952, 1863, 44510, 10721, 20666, 2655, 3794, 1211, 3794, 1211, 4724, 10721, 3555, 3794, 9566, 14739, 14407, 3615, 16247, 2304, 12984, 37977, 38637, 2304, 20193, 6055, 4587, 1211, 13412, 2407, 10632, 38637, 2304, 20193, 6055, 4587, 1211, 13412, 2407, 10632, 5296, 17082, 995, 10632, 19446, 6055, 14851, 45367, 3555, 9673, 2407, 11242, 45367, 47525, 8315, 8717, 1829, 7435, 1829, 5296, 10721, 12610, 50113, 6027, 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"end": 2175.75, "word": " وسنبدأ", "probability": 0.9000244140625}, {"start": 2175.75, "end": 2176.91, "word": " بالتسلسل", "probability": 0.986083984375}, {"start": 2176.91, "end": 2177.65, "word": " بأبسط", "probability": 0.979296875}, {"start": 2177.65, "end": 2178.09, "word": " أنواع", "probability": 0.9723307291666666}, {"start": 2178.09, "end": 2178.79, "word": " الأمثلة", "probability": 0.9891357421875}, {"start": 2178.79, "end": 2179.59, "word": " ثم", "probability": 0.975341796875}, {"start": 2179.59, "end": 2179.75, "word": " لا", "probability": 0.55615234375}, {"start": 2179.75, "end": 2180.09, "word": " تقل", "probability": 0.8445638020833334}, {"start": 2180.09, "end": 2180.59, "word": " شوية", "probability": 0.9519856770833334}, {"start": 2180.59, "end": 2181.19, "word": " ثم", "probability": 0.9267578125}, {"start": 2181.19, "end": 2181.37, "word": " لا", "probability": 0.9287109375}, {"start": 2181.37, "end": 2181.67, "word": " تقل", "probability": 0.9930013020833334}, {"start": 2181.67, "end": 2182.19, "word": " شوية", "probability": 0.9861653645833334}, {"start": 2182.19, "end": 2182.87, "word": " لغاية", "probability": 0.98681640625}, {"start": 2182.87, "end": 2182.97, "word": " ما", "probability": 0.97509765625}, {"start": 2182.97, "end": 2183.73, "word": " تستوعب", "probability": 0.91650390625}, {"start": 2183.73, "end": 2184.77, "word": " الموضوع", "probability": 0.996826171875}, {"start": 2184.77, "end": 2185.47, "word": " بدنا", "probability": 0.850341796875}, {"start": 2185.47, "end": 2185.75, "word": " نيجي", "probability": 0.9805908203125}, {"start": 2185.75, "end": 2186.25, "word": " لأول", "probability": 0.9405924479166666}, {"start": 2186.25, "end": 2186.87, "word": " مثال", "probability": 0.968017578125}, {"start": 2186.87, "end": 2187.43, "word": " بيقول", "probability": 0.8981119791666666}, {"start": 2187.43, "end": 2187.73, "word": " ما", "probability": 0.97802734375}, {"start": 2187.73, "end": 2188.33, "word": " يأتي", "probability": 0.8984375}, {"start": 2188.33, "end": 2189.39, "word": " يبقى", "probability": 0.944091796875}, {"start": 2189.39, "end": 2190.01, "word": " example", "probability": 0.89794921875}, {"start": 2190.01, "end": 2190.97, "word": " one", "probability": 0.68505859375}, {"start": 2190.97, "end": 2195.89, "word": " show", "probability": 0.85693359375}, {"start": 2195.89, "end": 2196.45, "word": " that", "probability": 0.94482421875}, {"start": 2196.45, "end": 2198.09, "word": " show", "probability": 0.75537109375}], "temperature": 1.0}, {"id": 93, "seek": 221607, "start": 2199.17, "end": 2216.07, "text": "ذات limit لما ال X بدها تروح للإتنين لدلة خمسة X ناقص أربع يساوي مين؟ يساوي ستة", "tokens": [8848, 9307, 4948, 5296, 15042, 2423, 1783, 47525, 11296, 6055, 32887, 5016, 24976, 28814, 2655, 1863, 9957, 5296, 3215, 37977, 16490, 2304, 3794, 3660, 1783, 8717, 995, 4587, 9381, 5551, 25513, 3615, 7251, 3794, 995, 45865, 3714, 9957, 22807, 7251, 3794, 995, 45865, 8608, 2655, 3660], "avg_logprob": -0.23603723974938087, "compression_ratio": 1.238532110091743, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2199.17, "end": 2200.13, "word": "ذات", "probability": 0.541259765625}, {"start": 2200.13, "end": 2203.01, "word": " limit", "probability": 0.8505859375}, {"start": 2203.01, "end": 2205.05, "word": " لما", "probability": 0.832275390625}, {"start": 2205.05, "end": 2205.25, "word": " ال", "probability": 0.86083984375}, {"start": 2205.25, "end": 2205.69, "word": " X", "probability": 0.57763671875}, {"start": 2205.69, "end": 2206.89, "word": " بدها", "probability": 0.7314453125}, {"start": 2206.89, "end": 2207.47, "word": " تروح", "probability": 0.9796549479166666}, {"start": 2207.47, "end": 2208.57, "word": " للإتنين", "probability": 0.8046875}, {"start": 2208.57, "end": 2209.97, "word": " لدلة", "probability": 0.6105143229166666}, {"start": 2209.97, "end": 2210.97, "word": " خمسة", "probability": 0.908447265625}, {"start": 2210.97, "end": 2211.33, "word": " X", "probability": 0.8330078125}, {"start": 2211.33, "end": 2212.47, "word": " ناقص", "probability": 0.9552001953125}, {"start": 2212.47, "end": 2213.05, "word": " أربع", "probability": 0.7560221354166666}, {"start": 2213.05, "end": 2213.61, "word": " يساوي", "probability": 0.954833984375}, {"start": 2213.61, "end": 2214.57, "word": " مين؟", "probability": 0.6669108072916666}, {"start": 2214.57, "end": 2215.45, "word": " يساوي", "probability": 0.9710693359375}, {"start": 2215.45, "end": 2216.07, "word": " ستة", "probability": 0.9578450520833334}], "temperature": 1.0}, {"id": 94, "seek": 223932, "start": 2218.88, "end": 2239.32, "text": "بقى احنا مقترحين انه limit لهذه الدالة بده يساوي ستة بدنا نتأكد هذا اقتراحنا صح ولا لأ لإنه قلنا هنا إيش but we verify that the suspected limit is correct يعني احنا بنتأكد انه limit المقترح هذه صحيحة ولا لأ", "tokens": [3555, 4587, 7578, 1975, 5016, 8315, 3714, 38149, 2288, 5016, 9957, 16472, 3224, 4948, 46740, 24192, 32748, 6027, 3660, 47525, 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{"start": 2228.48, "end": 2229.16, "word": " لإنه", "probability": 0.7332763671875}, {"start": 2229.16, "end": 2229.52, "word": " قلنا", "probability": 0.8487955729166666}, {"start": 2229.52, "end": 2229.88, "word": " هنا", "probability": 0.958984375}, {"start": 2229.88, "end": 2230.4, "word": " إيش", "probability": 0.6617838541666666}, {"start": 2230.4, "end": 2230.98, "word": " but", "probability": 0.45703125}, {"start": 2230.98, "end": 2231.3, "word": " we", "probability": 0.94287109375}, {"start": 2231.3, "end": 2232.12, "word": " verify", "probability": 0.7685546875}, {"start": 2232.12, "end": 2232.42, "word": " that", "probability": 0.8798828125}, {"start": 2232.42, "end": 2232.6, "word": " the", "probability": 0.83642578125}, {"start": 2232.6, "end": 2233.16, "word": " suspected", "probability": 0.86279296875}, {"start": 2233.16, "end": 2233.56, "word": " limit", "probability": 0.96728515625}, {"start": 2233.56, "end": 2233.84, "word": " is", "probability": 0.9697265625}, {"start": 2233.84, "end": 2234.34, "word": " correct", "probability": 0.93603515625}, {"start": 2234.34, "end": 2235.04, "word": " يعني", "probability": 0.893310546875}, {"start": 2235.04, "end": 2235.48, "word": " احنا", "probability": 0.9571940104166666}, {"start": 2235.48, "end": 2236.2, "word": " بنتأكد", "probability": 0.932421875}, {"start": 2236.2, "end": 2236.62, "word": " انه", "probability": 0.759521484375}, {"start": 2236.62, "end": 2236.86, "word": " limit", "probability": 0.67041015625}, {"start": 2236.86, "end": 2237.48, "word": " المقترح", "probability": 0.9400634765625}, {"start": 2237.48, "end": 2237.78, "word": " هذه", "probability": 0.44921875}, {"start": 2237.78, "end": 2238.64, "word": " صحيحة", "probability": 0.98818359375}, {"start": 2238.64, "end": 2239.06, "word": " ولا", "probability": 0.966796875}, {"start": 2239.06, "end": 2239.32, "word": " لأ", "probability": 0.878173828125}], "temperature": 1.0}, {"id": 95, "seek": 226303, "start": 2239.63, "end": 2263.03, "text": "طبعا لو جاءك كده السؤال في الامتحان بتقول والله بسيط ديدا بنعوض لإنها linear 2x5 هو 10-7 يساوي 6 في خاطرك مع السلامة لا انا بروح بصيلك السؤال صياغة أخرى بروح بقولك use epsilon delta definition to show that بيبقى مش فيها كلام بتعمل زي ذاك بتاخد zero", "tokens": [9566, 3555, 3615, 995, 45164, 10874, 16606, 4117, 9122, 3215, 3224, 21136, 33604, 6027, 8978, 2423, 10943, 2655, 5016, 7649, 39894, 39648, 16070, 43761, 4724, 3794, 1829, 9566, 11778, 1829, 28259, 44945, 3615, 2407, 11242, 5296, 28814, 1863, 11296, 8213, 568, 87, 20, 31439, 1266, 12, 22, 7251, 3794, 995, 45865, 1386, 8978, 16490, 41193, 31747, 20449, 21136, 37440, 3660, 20193, 1975, 8315, 4724, 32887, 5016, 4724, 9381, 1829, 23275, 21136, 33604, 6027, 20328, 1829, 5718, 118, 3660, 5551, 34740, 7578, 4724, 32887, 5016, 4724, 39648, 4117, 764, 17889, 8289, 7123, 281, 855, 300, 4724, 1829, 3555, 4587, 7578, 37893, 8978, 11296, 28242, 10943, 39894, 25957, 1211, 30767, 1829, 29910, 995, 4117, 39894, 47283, 3215, 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"end": 2334.68, "text": "الان بدنا نبدأ نطبق تعريف عمليا بقول له zero اقل من ال X ناقص يبقى بشيلها و بحط مكانها اتنين اقل من دلتة مجهولة", "tokens": [6027, 7649, 47525, 8315, 8717, 44510, 10721, 8717, 9566, 3555, 4587, 37279, 16572, 5172, 6225, 42213, 25528, 4724, 39648, 46740, 4018, 1975, 4587, 1211, 9154, 2423, 1783, 8717, 995, 4587, 9381, 7251, 3555, 4587, 7578, 4724, 8592, 26895, 11296, 4032, 4724, 5016, 9566, 3714, 41361, 11296, 1975, 2655, 1863, 9957, 1975, 4587, 1211, 9154, 11778, 1211, 2655, 3660, 3714, 7435, 3224, 12610, 3660], "avg_logprob": -0.28320313012227416, "compression_ratio": 1.4264705882352942, "no_speech_prob": 0.0, "words": [{"start": 2318.3, "end": 2319.18, "word": "الان", "probability": 0.72705078125}, {"start": 2319.18, "end": 2319.54, "word": " بدنا", "probability": 0.60394287109375}, {"start": 2319.54, "end": 2319.94, "word": " نبدأ", "probability": 0.6771240234375}, {"start": 2319.94, "end": 2320.64, "word": " نطبق", "probability": 0.900146484375}, {"start": 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delta", "probability": 0.32470703125}, {"start": 2697.04, "end": 2697.72, "word": " بإبسلن", "probability": 0.9630533854166666}, {"start": 2697.72, "end": 2698.0, "word": " على", "probability": 0.7578125}, {"start": 2698.0, "end": 2698.68, "word": " خمسة", "probability": 0.983154296875}, {"start": 2698.68, "end": 2699.58, "word": " النتيجة", "probability": 0.913818359375}, {"start": 2699.58, "end": 2700.0, "word": " فعلا", "probability": 0.98583984375}, {"start": 2700.0, "end": 2700.36, "word": " بصير", "probability": 0.9169921875}, {"start": 2700.36, "end": 2700.78, "word": " الفرق", "probability": 0.9892578125}, {"start": 2700.78, "end": 2700.96, "word": " بين", "probability": 0.7216796875}, {"start": 2700.96, "end": 2701.56, "word": " الفوفكس", "probability": 0.61883544921875}, {"start": 2701.56, "end": 2701.9, "word": " وإيه", "probability": 0.614501953125}, {"start": 2701.9, "end": 2702.46, "word": " الماله", "probability": 0.7674153645833334}, {"start": 2702.46, "end": 2703.68, "word": " أقل", "probability": 0.9679361979166666}, {"start": 2703.68, "end": 2704.0, "word": " من", "probability": 0.99169921875}, {"start": 2704.0, "end": 2704.7, "word": " إبسلن", "probability": 0.9876953125}], "temperature": 1.0}, {"id": 115, "seek": 272367, "start": 2704.89, "end": 2723.67, "text": "يبقى هى تحققنا من ان الكلام اللى عملناه صحيح يبقى بقوله تأكدنا thus limit لخمسة X ناقص أربعة لما ال X بدى يروح لاتنين بدى يساوي ستة بدى اسألكوا السؤال التالى", "tokens": [1829, 3555, 4587, 7578, 8032, 7578, 6055, 5016, 4587, 4587, 8315, 9154, 16472, 2423, 28820, 10943, 13672, 7578, 6225, 42213, 8315, 3224, 20328, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 4724, 39648, 3224, 6055, 10721, 4117, 3215, 8315, 8807, 4948, 5296, 9778, 2304, 3794, 3660, 1783, 8717, 995, 4587, 9381, 5551, 25513, 27884, 5296, 15042, 2423, 1783, 47525, 7578, 7251, 32887, 5016, 5296, 9307, 1863, 9957, 47525, 7578, 7251, 3794, 995, 45865, 8608, 2655, 3660, 47525, 7578, 24525, 10721, 23275, 14407, 21136, 33604, 6027, 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2709.53, "end": 2710.01, "word": " بقوله", "probability": 0.8665364583333334}, {"start": 2710.01, "end": 2711.77, "word": " تأكدنا", "probability": 0.90244140625}, {"start": 2711.77, "end": 2712.65, "word": " thus", "probability": 0.205810546875}, {"start": 2712.65, "end": 2713.71, "word": " limit", "probability": 0.7900390625}, {"start": 2713.71, "end": 2715.45, "word": " لخمسة", "probability": 0.798681640625}, {"start": 2715.45, "end": 2715.77, "word": " X", "probability": 0.368896484375}, {"start": 2715.77, "end": 2716.41, "word": " ناقص", "probability": 0.844970703125}, {"start": 2716.41, "end": 2717.03, "word": " أربعة", "probability": 0.8045247395833334}, {"start": 2717.03, "end": 2717.67, "word": " لما", "probability": 0.93798828125}, {"start": 2717.67, "end": 2717.81, "word": " ال", "probability": 0.88916015625}, {"start": 2717.81, "end": 2718.07, "word": " X", "probability": 0.9306640625}, {"start": 2718.07, "end": 2718.41, "word": " بدى", "probability": 0.533203125}, {"start": 2718.41, "end": 2718.65, "word": " يروح", "probability": 0.9423828125}, {"start": 2718.65, "end": 2719.31, "word": " لاتنين", "probability": 0.7762451171875}, {"start": 2719.31, "end": 2720.11, "word": " بدى", "probability": 0.754150390625}, {"start": 2720.11, "end": 2720.79, "word": " يساوي", "probability": 0.86572265625}, {"start": 2720.79, "end": 2721.47, "word": " ستة", "probability": 0.9534505208333334}, {"start": 2721.47, "end": 2722.03, "word": " بدى", "probability": 0.7171630859375}, {"start": 2722.03, "end": 2722.57, "word": " اسألكوا", "probability": 0.8392333984375}, {"start": 2722.57, "end": 2723.05, "word": " السؤال", "probability": 0.9762369791666666}, {"start": 2723.05, "end": 2723.67, "word": " التالى", "probability": 0.8994140625}], "temperature": 1.0}, {"id": 116, "seek": 274625, "start": 2724.75, "end": 2746.25, "text": "هل احنا بشغل هذا حسبنا limit لدى الله؟ لأ احنا بس تأكدنا ان ال limit صحيح اللي ليس الا، اذا في هذا ال section كتبتلك اول سطرين احنا هنا بنحسبش limit في هذا ال section بل بنتأكد هل ال limit اللي عملناها او المعطاها هل هي صحيحة او لا، ايش بدك تسأل؟", "tokens": [3224, 1211, 1975, 5016, 8315, 4724, 8592, 17082, 1211, 23758, 11331, 35457, 8315, 4948, 5296, 3215, 7578, 21984, 22807, 5296, 10721, 1975, 5016, 8315, 4724, 3794, 6055, 10721, 4117, 3215, 8315, 16472, 2423, 4948, 20328, 5016, 1829, 5016, 13672, 1829, 32239, 3794, 42963, 12399, 1975, 15730, 8978, 23758, 2423, 3541, 9122, 2655, 3555, 2655, 23275, 1975, 12610, 8608, 9566, 2288, 9957, 1975, 5016, 8315, 34105, 4724, 1863, 5016, 35457, 8592, 4948, 8978, 23758, 2423, 3541, 4724, 1211, 4724, 29399, 10721, 4117, 3215, 8032, 1211, 2423, 4948, 13672, 1829, 6225, 42213, 8315, 11296, 1975, 2407, 9673, 3615, 9566, 995, 11296, 8032, 1211, 39896, 20328, 5016, 1829, 5016, 3660, 1975, 2407, 20193, 12399, 1975, 1829, 8592, 47525, 4117, 6055, 3794, 10721, 1211, 22807], "avg_logprob": -0.17571721885536537, "compression_ratio": 1.9289099526066351, "no_speech_prob": 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"probability": 0.868896484375}, {"start": 2739.77, "end": 2740.91, "word": " بنتأكد", "probability": 0.89169921875}, {"start": 2740.91, "end": 2741.43, "word": " هل", "probability": 0.977783203125}, {"start": 2741.43, "end": 2741.57, "word": " ال", "probability": 0.93603515625}, {"start": 2741.57, "end": 2741.85, "word": " limit", "probability": 0.98388671875}, {"start": 2741.85, "end": 2742.03, "word": " اللي", "probability": 0.885009765625}, {"start": 2742.03, "end": 2742.61, "word": " عملناها", "probability": 0.9832763671875}, {"start": 2742.61, "end": 2742.95, "word": " او", "probability": 0.8525390625}, {"start": 2742.95, "end": 2743.75, "word": " المعطاها", "probability": 0.7982421875}, {"start": 2743.75, "end": 2744.11, "word": " هل", "probability": 0.922607421875}, {"start": 2744.11, "end": 2744.29, "word": " هي", "probability": 0.9208984375}, {"start": 2744.29, "end": 2744.97, "word": " صحيحة", "probability": 0.96328125}, {"start": 2744.97, "end": 2745.15, "word": " او", "probability": 0.66552734375}, {"start": 2745.15, "end": 2745.39, "word": " لا،", "probability": 0.72998046875}, {"start": 2745.39, "end": 2745.49, "word": " ايش", "probability": 0.80712890625}, {"start": 2745.49, "end": 2745.71, "word": " بدك", "probability": 0.962646484375}, {"start": 2745.71, "end": 2746.25, "word": " تسأل؟", "probability": 0.8701171875}], "temperature": 1.0}, {"id": 117, "seek": 276621, "start": 2750.07, "end": 2766.21, "text": "انت لسه في اول الطريق يا راجل اصبر اصبر شوية كل ما انت اجلك شوية صبرك بالله شوية احنا بنقولك ياه بدي يعطيك سفره بدي يعطيك نهاية سوى قيمة محددة هي الصفر على صفر قيمة محددة", "tokens": [7649, 2655, 5296, 3794, 3224, 8978, 1975, 12610, 41950, 16572, 4587, 35186, 12602, 26108, 1211, 1975, 9381, 26890, 1975, 9381, 26890, 13412, 2407, 10632, 28242, 19446, 16472, 2655, 1975, 7435, 23275, 13412, 2407, 10632, 20328, 26890, 4117, 20666, 43761, 13412, 2407, 10632, 1975, 5016, 8315, 4724, 1863, 39648, 4117, 35186, 3224, 4724, 16254, 7251, 3615, 9566, 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"end": 2760.15, "word": " بنقولك", "probability": 0.6239013671875}, {"start": 2760.15, "end": 2760.37, "word": " ياه", "probability": 0.3626708984375}, {"start": 2760.37, "end": 2760.47, "word": " بدي", "probability": 0.764404296875}, {"start": 2760.47, "end": 2760.73, "word": " يعطيك", "probability": 0.803515625}, {"start": 2760.73, "end": 2760.97, "word": " سفره", "probability": 0.83447265625}, {"start": 2760.97, "end": 2761.33, "word": " بدي", "probability": 0.725830078125}, {"start": 2761.33, "end": 2761.87, "word": " يعطيك", "probability": 0.9658203125}, {"start": 2761.87, "end": 2762.41, "word": " نهاية", "probability": 0.95947265625}, {"start": 2762.41, "end": 2762.81, "word": " سوى", "probability": 0.69921875}, {"start": 2762.81, "end": 2763.17, "word": " قيمة", "probability": 0.9716796875}, {"start": 2763.17, "end": 2763.75, "word": " محددة", "probability": 0.994140625}, {"start": 2763.75, "end": 2764.21, "word": " هي", "probability": 0.76806640625}, {"start": 2764.21, "end": 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ب7", "probability": 0.779052734375}, {"start": 4660.21, "end": 4660.79, "word": " أبسول", "probability": 0.9150390625}, {"start": 4660.79, "end": 4661.11, "word": " يتولى", "probability": 0.985107421875}, {"start": 4661.11, "end": 4661.23, "word": " ل", "probability": 0.8408203125}, {"start": 4661.23, "end": 4661.43, "word": " 2", "probability": 0.89208984375}, {"start": 4661.43, "end": 4661.81, "word": " ب2", "probability": 0.967041015625}, {"start": 4661.81, "end": 4662.15, "word": " أبسول", "probability": 0.9755859375}, {"start": 4662.15, "end": 4662.45, "word": " يتولى", "probability": 0.9915771484375}, {"start": 4662.45, "end": 4662.59, "word": " ل", "probability": 0.97412109375}, {"start": 4662.59, "end": 4662.93, "word": " 5", "probability": 0.90478515625}, {"start": 4662.93, "end": 4663.49, "word": " ب5", "probability": 0.947021484375}, {"start": 4663.49, "end": 4663.71, "word": " و", "probability": 0.8857421875}, {"start": 4663.71, "end": 4663.97, "word": " 2", "probability": 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"end": 4754.84, "text": "تمام؟ طيب هذه أقل من أو تساوي هذه أربعة تربية بقداش؟ ستة عشر تلاتة في أربعة باطناش زائد تسعة تمانية و عشرين وتسعة قداش سبعة و تلاتين", "tokens": [39237, 10943, 22807, 23032, 1829, 3555, 29538, 5551, 4587, 1211, 9154, 34051, 6055, 3794, 995, 45865, 29538, 5551, 25513, 27884, 6055, 25513, 10632, 4724, 28543, 33599, 22807, 8608, 2655, 3660, 6225, 46309, 6055, 1211, 9307, 3660, 8978, 5551, 25513, 27884, 4724, 41193, 1863, 33599, 30767, 16373, 3215, 6055, 3794, 27884, 46811, 7649, 10632, 4032, 6225, 46309, 9957, 34683, 3794, 27884, 12174, 3215, 33599, 8608, 3555, 27884, 4032, 6055, 1211, 9307, 9957], "avg_logprob": -0.2595486028326882, "compression_ratio": 1.7372262773722629, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 4737.94, "end": 4738.78, "word": "تمام؟", "probability": 0.474609375}, {"start": 4738.78, "end": 4739.6, "word": " طيب", "probability": 0.8660481770833334}, {"start": 4739.6, "end": 4740.06, "word": " هذه", "probability": 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دلتة يبدأ تسوي epsilon", "tokens": [10721, 4587, 1211, 9154, 2423, 8236, 2158, 8717, 995, 4587, 9381, 2423, 4018, 5551, 4587, 1211, 9154, 11778, 1211, 2655, 3660, 7251, 44510, 10721, 6055, 3794, 2407, 1829, 17889], "avg_logprob": -0.5968750158945719, "compression_ratio": 1.065934065934066, "no_speech_prob": 0.0, "words": [{"start": 5291.88, "end": 5293.06, "word": "أقل", "probability": 0.59912109375}, {"start": 5293.06, "end": 5293.28, "word": " من", "probability": 0.95068359375}, {"start": 5293.28, "end": 5293.4, "word": " ال", "probability": 0.44580078125}, {"start": 5293.4, "end": 5293.98, "word": " absolute", "probability": 0.59814453125}, {"start": 5293.98, "end": 5294.82, "word": " value", "probability": 0.97900390625}, {"start": 5294.82, "end": 5296.02, "word": " ناقص", "probability": 0.7816162109375}, {"start": 5296.02, "end": 5296.2, "word": " ال", "probability": 0.271484375}, {"start": 5296.2, "end": 5296.54, "word": " zero", "probability": 0.55322265625}, {"start": 5296.54, 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"probability": 0.95068359375}, {"start": 5978.5, "end": 5979.3, "word": " وبيه", "probability": 0.6638997395833334}, {"start": 5979.3, "end": 5980.0, "word": " ننهي", "probability": 0.9619140625}, {"start": 5980.0, "end": 5980.94, "word": " المحاضرة", "probability": 0.9822998046875}, {"start": 5980.94, "end": 5981.7, "word": " example", "probability": 0.76220703125}], "temperature": 1.0}, {"id": 251, "seek": 601740, "start": 5988.6, "end": 6017.4, "text": "بقول الـ F of X يساوي الجذر التربيعي للـ X ناقص سبعة والـ L تساوي أربعة والـ X نود يساوي تلاتة وعشرين والإبسلون تساوي واحد Find Delta that satisfies", "tokens": [3555, 39648, 2423, 39184, 479, 295, 1783, 7251, 3794, 995, 45865, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 1829, 24976, 39184, 1783, 8717, 995, 4587, 9381, 8608, 3555, 27884, 16070, 39184, 441, 6055, 3794, 995, 45865, 5551, 25513, 27884, 16070, 39184, 1783, 8717, 23328, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 4032, 3615, 46309, 9957, 16070, 28814, 3555, 3794, 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X", "probability": 0.916015625}, {"start": 5996.08, "end": 5996.9, "word": " ناقص", "probability": 0.8623046875}, {"start": 5996.9, "end": 5997.46, "word": " سبعة", "probability": 0.888671875}, {"start": 5997.46, "end": 5998.58, "word": " والـ", "probability": 0.68603515625}, {"start": 5998.58, "end": 5998.88, "word": " L", "probability": 0.86083984375}, {"start": 5998.88, "end": 5999.8, "word": " تساوي", "probability": 0.9654541015625}, {"start": 5999.8, "end": 6000.72, "word": " أربعة", "probability": 0.91845703125}, {"start": 6000.72, "end": 6001.94, "word": " والـ", "probability": 0.88671875}, {"start": 6001.94, "end": 6002.3, "word": " X", "probability": 0.9599609375}, {"start": 6002.3, "end": 6002.82, "word": " نود", "probability": 0.266357421875}, {"start": 6002.82, "end": 6003.58, "word": " يساوي", "probability": 0.976318359375}, {"start": 6003.58, "end": 6004.34, "word": " تلاتة", "probability": 0.942626953125}, {"start": 6004.34, "end": 6005.46, "word": " وعشرين", "probability": 0.79595947265625}, {"start": 6005.46, "end": 6007.46, "word": " والإبسلون", "probability": 0.8448893229166666}, {"start": 6007.46, "end": 6008.68, "word": " تساوي", "probability": 0.9693603515625}, {"start": 6008.68, "end": 6009.52, "word": " واحد", "probability": 0.98486328125}, {"start": 6009.52, "end": 6010.98, "word": " Find", "probability": 0.45703125}, {"start": 6010.98, "end": 6013.1, "word": " Delta", "probability": 0.52734375}, {"start": 6013.1, "end": 6015.14, "word": " that", "probability": 0.81298828125}, {"start": 6015.14, "end": 6017.4, "word": " satisfies", "probability": 0.884765625}], "temperature": 1.0}, {"id": 252, "seek": 603579, "start": 6021.81, "end": 6035.79, "text": "that satisfies the definition of the formal limit", "tokens": [6780, 44271, 264, 7123, 295, 264, 9860, 4948], "avg_logprob": -0.3172743055555556, "compression_ratio": 0.9607843137254902, "no_speech_prob": 0.0, "words": [{"start": 6021.81, "end": 6022.33, "word": "that", 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2304, 3615, 9566, 9957, 1829, 2423, 398, 4032, 9566, 6027, 3555, 4724, 32277, 2304, 9957, 18183, 6055, 3555, 34268, 16712, 3615, 16572, 5172, 9154, 10874, 43761, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 7251, 3555, 4587, 7578, 8032, 47302, 16712, 3615, 16572, 5172], "avg_logprob": -0.3339285799435207, "compression_ratio": 1.5826771653543308, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 6047.73, "end": 6048.39, "word": "معطيني", "probability": 0.489691162109375}, {"start": 6048.39, "end": 6048.55, "word": " f", "probability": 0.381103515625}, {"start": 6048.55, "end": 6048.75, "word": " of", "probability": 0.35498046875}, {"start": 6048.75, "end": 6049.13, "word": " x", "probability": 0.79638671875}, {"start": 6049.13, "end": 6050.31, "word": " ومعطيني", "probability": 0.8231201171875}, {"start": 6050.31, "end": 6050.53, "word": " ال", "probability": 0.69140625}, {"start": 6050.53, "end": 6050.97, "word": " L", "probability": 0.6728515625}, {"start": 6050.97, "end": 6052.19, "word": " ومعطيني", "probability": 0.9169108072916666}, {"start": 6052.19, "end": 6052.33, "word": " ال", "probability": 0.70458984375}, {"start": 6052.33, "end": 6052.95, "word": " X0", "probability": 0.42376708984375}, {"start": 6052.95, "end": 6053.73, "word": " ومعطيني", "probability": 0.9829915364583334}, {"start": 6053.73, "end": 6053.83, "word": " ال", "probability": 0.72412109375}, {"start": 6053.83, "end": 6054.05, "word": " Y", "probability": 0.391845703125}, {"start": 6054.05, "end": 6054.61, "word": " وطالب", "probability": 0.7567138671875}, {"start": 6054.61, "end": 6055.35, "word": " باسمين", "probability": 0.903076171875}, {"start": 6055.35, "end": 6056.31, "word": " Delta", "probability": 0.357177734375}, {"start": 6056.31, "end": 6056.83, "word": " تبعت", "probability": 0.6984049479166666}, {"start": 6056.83, "end": 6057.45, "word": " التعريف", "probability": 0.9918212890625}, {"start": 6057.45, "end": 6058.01, "word": " من", "probability": 0.1163330078125}, {"start": 6058.01, "end": 6058.27, "word": " جله", "probability": 0.5072021484375}, {"start": 6058.27, "end": 6058.83, "word": " بسيطة", "probability": 0.97412109375}, {"start": 6058.83, "end": 6059.19, "word": " جدا", "probability": 0.986083984375}, {"start": 6059.19, "end": 6060.29, "word": " يبقى", "probability": 0.946044921875}, {"start": 6060.29, "end": 6060.59, "word": " هاي", "probability": 0.536376953125}, {"start": 6060.59, "end": 6061.79, "word": " التعريف", "probability": 0.9954833984375}], "temperature": 1.0}, {"id": 254, "seek": 609367, "start": 6072.47, "end": 6093.67, "text": "بحيث أن Zero أقل من X ناقص X نود اللي هي قداش تلاتة وعشرين أقل من Delta Delta مجهولة implies ال F of X اللي هو الجدرى التربية ل X ناقص سبعة ناقص L اللي هي قداش أربعة", "tokens": [3555, 5016, 1829, 12984, 14739, 17182, 5551, 4587, 1211, 9154, 1783, 8717, 995, 4587, 9381, 1783, 8717, 23328, 13672, 1829, 39896, 12174, 3215, 33599, 6055, 1211, 9307, 3660, 4032, 3615, 46309, 9957, 5551, 4587, 1211, 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0.98330078125}, {"start": 6084.11, "end": 6084.81, "word": " implies", "probability": 0.46435546875}, {"start": 6084.81, "end": 6085.43, "word": " ال", "probability": 0.64453125}, {"start": 6085.43, "end": 6085.73, "word": " F", "probability": 0.7724609375}, {"start": 6085.73, "end": 6086.01, "word": " of", "probability": 0.849609375}, {"start": 6086.01, "end": 6086.31, "word": " X", "probability": 0.990234375}, {"start": 6086.31, "end": 6086.61, "word": " اللي", "probability": 0.928466796875}, {"start": 6086.61, "end": 6086.83, "word": " هو", "probability": 0.9697265625}, {"start": 6086.83, "end": 6087.43, "word": " الجدرى", "probability": 0.64581298828125}, {"start": 6087.43, "end": 6087.99, "word": " التربية", "probability": 0.8787434895833334}, {"start": 6087.99, "end": 6088.19, "word": " ل", "probability": 0.6962890625}, {"start": 6088.19, "end": 6088.51, "word": " X", "probability": 0.59716796875}, {"start": 6088.51, "end": 6089.07, "word": " ناقص", "probability": 0.98388671875}, {"start": 6089.07, "end": 6089.59, "word": " سبعة", "probability": 0.9235026041666666}, {"start": 6089.59, "end": 6090.77, "word": " ناقص", "probability": 0.9832763671875}, {"start": 6090.77, "end": 6091.17, "word": " L", "probability": 0.87060546875}, {"start": 6091.17, "end": 6091.53, "word": " اللي", "probability": 0.86181640625}, {"start": 6091.53, "end": 6091.73, "word": " هي", "probability": 0.5947265625}, {"start": 6091.73, "end": 6092.35, "word": " قداش", "probability": 0.95751953125}, {"start": 6092.35, "end": 6093.67, "word": " أربعة", "probability": 0.8282877604166666}], "temperature": 1.0}, {"id": 255, "seek": 612275, "start": 6093.93, "end": 6122.75, "text": "أقل من إبسلون، إبسل هو مقطع كده؟ واحد صحيح هذه جاهزة ماعندي مشكلة، يبقى بدي أحل مشكلة تادي فمشان أحلها باجي بقوله الجذر التربية ل X ناقص سبعة ناقص أربعة أقل من واحد وأكبر من مين؟ من سلب واحد، اضيفي أربعة لثلاثة أطراف بيصير تلاتة أقل من ال X ناقص سبعة أقل من مين؟ من خمسة", "tokens": [10721, 4587, 1211, 9154, 11933, 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