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راح ناخد برضه كمان مثال على ال N أُس C عشان تثبت المعلومة summation لن ال N لكل تربيع على N أُس 3 ع 2 الان لن ال N برضه بنستخدم أقل أو يساوي N أُس C", "tokens": [9381, 9640, 2655, 502, 15844, 426, 5296, 1863, 6055, 2288, 21292, 3615, 2423, 39184, 426, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 502, 15844, 426, 2423, 7649, 2423, 28811, 45164, 502, 15844, 426, 39896, 32270, 2638, 9521, 44945, 39648, 538, 9660, 341, 307, 264, 2638, 9521, 12602, 39319, 8717, 47283, 3215, 4724, 43042, 3224, 9122, 2304, 7649, 50113, 6027, 15844, 2423, 426, 5551, 10859, 3794, 383, 6225, 8592, 7649, 6055, 12984, 3555, 2655, 9673, 30241, 20498, 3660, 28811, 5296, 1863, 2423, 426, 5296, 28820, 6055, 2288, 21292, 3615, 15844, 426, 5551, 10859, 3794, 805, 6225, 568, 2423, 7649, 5296, 1863, 2423, 426, 4724, 43042, 3224, 44945, 14851, 9778, 40448, 5551, 4587, 1211, 34051, 7251, 3794, 995, 45865, 426, 5551, 10859, 3794, 383], "avg_logprob": -0.24684979946863267, "compression_ratio": 1.783132530120482, 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{"start": 706.48, "end": 707.06, "word": " اقل", "probability": 0.8186848958333334}], "temperature": 1.0}, {"id": 32, "seek": 72298, "start": 707.36, "end": 722.98, "text": "هذا أقل من هذا لأن هذه هي الكبيرة بدنا الكبيرة إيش تكون convergent يبقى الأسس هذا كله بدنا نختاره بحيث يكون أكبر من الواحد عشان تكون convergent P series لازم تكون ال P أكبر من واحد يبقى we need summation لهذه to be convergent", "tokens": [3224, 15730, 5551, 4587, 1211, 9154, 23758, 5296, 33456, 29538, 39896, 33251, 3555, 48923, 47525, 8315, 33251, 3555, 48923, 11933, 1829, 8592, 6055, 30544, 9652, 6930, 7251, 3555, 4587, 7578, 16247, 3794, 3794, 23758, 28242, 3224, 47525, 8315, 8717, 46456, 9640, 3224, 4724, 5016, 1829, 12984, 7251, 30544, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 6225, 8592, 7649, 6055, 30544, 9652, 6930, 430, 2638, 5296, 31377, 2304, 6055, 30544, 2423, 430, 5551, 4117, 26890, 9154, 36764, 24401, 7251, 3555, 4587, 7578, 321, 643, 28811, 46740, 24192, 281, 312, 9652, 6930], "avg_logprob": 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{"start": 716.48, "end": 716.92, "word": " الواحد", "probability": 0.89892578125}, {"start": 716.92, "end": 717.16, "word": " عشان", "probability": 0.9744466145833334}, {"start": 717.16, "end": 717.4, "word": " تكون", "probability": 0.807373046875}, {"start": 717.4, "end": 717.84, "word": " convergent", "probability": 0.8486328125}, {"start": 717.84, "end": 718.02, "word": " P", "probability": 0.66748046875}, {"start": 718.02, "end": 718.28, "word": " series", "probability": 0.463623046875}, {"start": 718.28, "end": 718.56, "word": " لازم", "probability": 0.8556315104166666}, {"start": 718.56, "end": 718.78, "word": " تكون", "probability": 0.775634765625}, {"start": 718.78, "end": 718.88, "word": " ال", "probability": 0.51904296875}, {"start": 718.88, "end": 719.02, "word": " P", "probability": 0.830078125}, {"start": 719.02, "end": 719.5, "word": " أكبر", "probability": 0.9791666666666666}, {"start": 719.5, "end": 720.02, "word": " من", "probability": 0.99072265625}, {"start": 720.02, "end": 720.34, "word": " واحد", "probability": 0.8828125}, {"start": 720.34, "end": 720.9, "word": " يبقى", "probability": 0.9718017578125}, {"start": 720.9, "end": 721.02, "word": " we", "probability": 0.443603515625}, {"start": 721.02, "end": 721.3, "word": " need", "probability": 0.962890625}, {"start": 721.3, "end": 721.7, "word": " summation", "probability": 0.331787109375}, {"start": 721.7, "end": 722.08, "word": " لهذه", "probability": 0.827880859375}, {"start": 722.08, "end": 722.2, "word": " to", "probability": 0.8505859375}, {"start": 722.2, "end": 722.38, "word": " be", "probability": 0.94970703125}, {"start": 722.38, "end": 722.98, "word": " convergent", "probability": 0.918701171875}], "temperature": 1.0}, {"id": 33, "seek": 73847, "start": 723.01, "end": 738.47, "text": "So we choose 3 ع 2 نقص 2C أكبر من 1 طبعا ممكن تختاري أي C أي رقم بدك إياه مثلا انا اختارت تمان لما اختارت تمان ايش صارت هذه صارت N أقص 5 ع 4 هي أكبر من 1 ممكن تختاري رقم أخر مش مشكلة", "tokens": [6455, 321, 2826, 805, 6225, 568, 8717, 4587, 9381, 568, 34, 5551, 4117, 26890, 9154, 502, 23032, 3555, 3615, 995, 3714, 43020, 6055, 46456, 9640, 1829, 36632, 383, 36632, 12602, 4587, 2304, 47525, 4117, 11933, 25528, 3224, 50113, 15040, 1975, 8315, 1975, 46456, 9640, 2655, 46811, 7649, 5296, 15042, 1975, 46456, 9640, 2655, 46811, 7649, 1975, 1829, 8592, 20328, 9640, 2655, 29538, 20328, 9640, 2655, 426, 5551, 4587, 9381, 1025, 6225, 1017, 39896, 5551, 4117, 26890, 9154, 502, 3714, 43020, 6055, 46456, 9640, 1829, 12602, 4587, 2304, 5551, 34740, 37893, 37893, 28820, 3660], "avg_logprob": -0.2799202111807275, "compression_ratio": 1.7283236994219653, "no_speech_prob": 0.0, "words": [{"start": 723.01, "end": 723.41, "word": "So", "probability": 0.1492919921875}, {"start": 723.41, "end": 723.59, "word": " we", "probability": 0.5927734375}, {"start": 723.59, "end": 723.87, "word": " choose", "probability": 0.8046875}, {"start": 723.87, "end": 724.23, "word": " 3", "probability": 0.65576171875}, 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" أي", "probability": 0.697265625}, {"start": 728.77, "end": 729.13, "word": " رقم", "probability": 0.9954427083333334}, {"start": 729.13, "end": 729.45, "word": " بدك", "probability": 0.6990966796875}, {"start": 729.45, "end": 729.87, "word": " إياه", "probability": 0.707275390625}, {"start": 729.87, "end": 730.37, "word": " مثلا", "probability": 0.95166015625}, {"start": 730.37, "end": 730.55, "word": " انا", "probability": 0.65625}, {"start": 730.55, "end": 730.91, "word": " اختارت", "probability": 0.80029296875}, {"start": 730.91, "end": 731.21, "word": " تمان", "probability": 0.3582763671875}, {"start": 731.21, "end": 731.71, "word": " لما", "probability": 0.7447509765625}, {"start": 731.71, "end": 732.13, "word": " اختارت", "probability": 0.9375}, {"start": 732.13, "end": 732.49, "word": " تمان", "probability": 0.98583984375}, {"start": 732.49, "end": 732.95, "word": " ايش", "probability": 0.7386067708333334}, {"start": 732.95, "end": 733.27, "word": " صارت", "probability": 0.96240234375}, {"start": 733.27, "end": 733.61, "word": " هذه", "probability": 0.3310546875}, {"start": 733.61, "end": 734.25, "word": " صارت", "probability": 0.8119303385416666}, {"start": 734.25, "end": 734.39, "word": " N", "probability": 0.0899658203125}, {"start": 734.39, "end": 734.57, "word": " أقص", "probability": 0.7853190104166666}, {"start": 734.57, "end": 734.87, "word": " 5", "probability": 0.93017578125}, {"start": 734.87, "end": 735.01, "word": " ع", "probability": 0.5478515625}, {"start": 735.01, "end": 735.33, "word": " 4", "probability": 0.96875}, {"start": 735.33, "end": 735.57, "word": " هي", "probability": 0.6865234375}, {"start": 735.57, "end": 735.97, "word": " أكبر", "probability": 0.9412434895833334}, {"start": 735.97, "end": 736.15, "word": " من", "probability": 0.99462890625}, {"start": 736.15, "end": 736.43, "word": " 1", "probability": 0.94384765625}, {"start": 736.43, "end": 736.71, "word": " ممكن", "probability": 0.965087890625}, {"start": 736.71, "end": 737.21, "word": " تختاري", "probability": 0.9874267578125}, {"start": 737.21, "end": 737.45, "word": " رقم", "probability": 0.9943033854166666}, {"start": 737.45, "end": 737.71, "word": " أخر", "probability": 0.793212890625}, {"start": 737.71, "end": 737.93, "word": " مش", "probability": 0.72265625}, {"start": 737.93, "end": 738.47, "word": " مشكلة", "probability": 0.9840494791666666}], "temperature": 1.0}, {"id": 34, "seek": 76566, "start": 738.7, "end": 765.66, "text": "المهم أن هذا الـP كلها تظهر أكبر من الواحد يبقى هنا اخترنا C شوف قدش الـC قدتني مرونة في الاختيار ماقلتزمش بإنه C تساوي واحد دايما لن لن أقل من N مش دايما تظبط معنا لكن لو حطيناها N أو الـC إحنا بنختار C بأي رقم إحنا بدنا إيا بحيث بدي Series converge بختارها C بحيث تكون converge بدي diverge بنختارها C بحيث تكون diverge", "tokens": [45340, 16095, 14739, 23758, 2423, 39184, 47, 28242, 11296, 6055, 19913, 3224, 2288, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 7251, 3555, 4587, 7578, 34105, 1975, 46456, 2288, 8315, 383, 13412, 38688, 12174, 3215, 8592, 2423, 39184, 34, 12174, 3215, 2655, 22653, 3714, 2288, 11536, 3660, 8978, 2423, 47283, 31371, 9640, 19446, 4587, 1211, 2655, 11622, 2304, 8592, 4724, 28814, 1863, 3224, 383, 6055, 3794, 995, 45865, 36764, 24401, 11778, 47302, 15042, 5296, 1863, 5296, 1863, 5551, 4587, 1211, 9154, 426, 37893, 11778, 47302, 15042, 6055, 19913, 3555, 9566, 20449, 8315, 44381, 45164, 11331, 9566, 1829, 8315, 11296, 426, 34051, 2423, 39184, 34, 11933, 5016, 8315, 44945, 46456, 9640, 383, 4724, 10721, 1829, 12602, 4587, 2304, 11933, 5016, 8315, 47525, 8315, 11933, 25528, 4724, 5016, 1829, 12984, 4724, 16254, 13934, 41881, 4724, 46456, 9640, 11296, 383, 4724, 5016, 1829, 12984, 6055, 30544, 41881, 4724, 16254, 18558, 432, 44945, 46456, 9640, 11296, 383, 4724, 5016, 1829, 12984, 6055, 30544, 18558, 432], "avg_logprob": -0.27270962732919257, "compression_ratio": 1.9272727272727272, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 738.7, "end": 739.26, "word": "المهم", "probability": 0.90576171875}, {"start": 739.26, "end": 739.5, "word": " أن", "probability": 0.56103515625}, {"start": 739.5, "end": 739.78, "word": " هذا", "probability": 0.12109375}, {"start": 739.78, "end": 740.06, "word": " الـP", "probability": 0.6520182291666666}, {"start": 740.06, "end": 740.56, "word": " كلها", "probability": 0.85107421875}, {"start": 740.56, "end": 741.36, "word": " تظهر", "probability": 0.76629638671875}, {"start": 741.36, "end": 742.28, "word": " أكبر", "probability": 0.947265625}, {"start": 742.28, "end": 742.54, "word": " من", "probability": 0.97900390625}, {"start": 742.54, "end": 743.08, "word": " الواحد", "probability": 0.6857096354166666}, {"start": 743.08, "end": 743.46, "word": " يبقى", "probability": 0.7590179443359375}, {"start": 743.46, "end": 743.64, "word": " هنا", "probability": 0.6669921875}, {"start": 743.64, "end": 744.14, "word": " اخترنا", "probability": 0.7913818359375}, {"start": 744.14, "end": 744.3, "word": " C", "probability": 0.54833984375}, {"start": 744.3, "end": 744.5, "word": " شوف", "probability": 0.5758056640625}, {"start": 744.5, "end": 744.78, "word": " قدش", "probability": 0.4248860677083333}, {"start": 744.78, "end": 745.02, "word": " الـC", "probability": 0.8870442708333334}, {"start": 745.02, "end": 745.48, "word": " قدتني", "probability": 0.66583251953125}, {"start": 745.48, "end": 745.88, "word": " مرونة", "probability": 0.91943359375}, {"start": 745.88, "end": 745.98, "word": " في", "probability": 0.92431640625}, {"start": 745.98, "end": 746.82, "word": " الاختيار", "probability": 0.85675048828125}, {"start": 746.82, "end": 748.16, "word": " ماقلتزمش", "probability": 0.847900390625}, {"start": 748.16, "end": 748.94, "word": " بإنه", "probability": 0.67254638671875}, {"start": 748.94, "end": 749.02, "word": " C", "probability": 0.73193359375}, {"start": 749.02, "end": 749.36, "word": " تساوي", "probability": 0.73358154296875}, {"start": 749.36, "end": 749.6, "word": " واحد", "probability": 0.935791015625}, {"start": 749.6, "end": 749.9, "word": " دايما", "probability": 0.8917643229166666}, {"start": 749.9, "end": 750.14, "word": " لن", "probability": 0.544921875}, {"start": 750.14, "end": 750.34, "word": " لن", "probability": 0.73388671875}, {"start": 750.34, "end": 750.66, "word": " أقل", "probability": 0.9435221354166666}, {"start": 750.66, "end": 750.84, "word": " من", "probability": 0.98486328125}, {"start": 750.84, "end": 751.02, "word": " N", "probability": 0.9052734375}, {"start": 751.02, "end": 751.22, "word": " مش", "probability": 0.84423828125}, {"start": 751.22, "end": 751.5, "word": " دايما", "probability": 0.9322916666666666}, {"start": 751.5, "end": 751.92, "word": " تظبط", "probability": 0.85400390625}, {"start": 751.92, "end": 752.2, "word": " معنا", "probability": 0.989501953125}, {"start": 752.2, "end": 752.46, "word": " لكن", "probability": 0.822265625}, {"start": 752.46, "end": 752.62, "word": " لو", "probability": 0.98876953125}, {"start": 752.62, "end": 753.08, "word": " حطيناها", "probability": 0.81103515625}, {"start": 753.08, "end": 753.26, "word": " N", "probability": 0.67138671875}, {"start": 753.26, "end": 753.38, "word": " أو", "probability": 0.2362060546875}, {"start": 753.38, "end": 753.64, "word": " الـC", "probability": 0.8084309895833334}, {"start": 753.64, "end": 754.26, "word": " إحنا", "probability": 0.7631022135416666}, {"start": 754.26, "end": 754.68, "word": " بنختار", "probability": 0.884765625}, {"start": 754.68, "end": 754.88, "word": " C", "probability": 0.884765625}, {"start": 754.88, "end": 755.24, "word": " بأي", "probability": 0.9357096354166666}, {"start": 755.24, "end": 755.54, "word": " رقم", "probability": 0.9954427083333334}, {"start": 755.54, "end": 755.78, "word": " إحنا", "probability": 0.8465169270833334}, {"start": 755.78, "end": 756.16, "word": " بدنا", "probability": 0.947509765625}, {"start": 756.16, "end": 756.8, "word": " إيا", "probability": 0.6463623046875}, {"start": 756.8, "end": 757.52, "word": " بحيث", "probability": 0.82244873046875}, {"start": 757.52, "end": 758.48, "word": " بدي", "probability": 0.6097412109375}, {"start": 758.48, "end": 758.78, "word": " Series", "probability": 0.5}, {"start": 758.78, "end": 759.28, "word": " converge", "probability": 0.56396484375}, {"start": 759.28, "end": 760.32, "word": " بختارها", "probability": 0.9300537109375}, {"start": 760.32, "end": 761.4, "word": " C", "probability": 0.8662109375}, {"start": 761.4, "end": 761.76, "word": " بحيث", "probability": 0.9691162109375}, {"start": 761.76, "end": 761.98, "word": " تكون", "probability": 0.98828125}, {"start": 761.98, "end": 762.36, "word": " converge", "probability": 0.69287109375}, {"start": 762.36, "end": 762.58, "word": " بدي", "probability": 0.829345703125}, {"start": 762.58, "end": 763.1, "word": " diverge", "probability": 0.6402587890625}, {"start": 763.1, "end": 764.04, "word": " بنختارها", "probability": 0.8778076171875}, {"start": 764.04, "end": 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