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+{"segments": [{"id": 1, "seek": 4983, "start": 21.51, "end": 49.83, "text": "بسم الله الرحمن الرحيم المرة اللى فاتت اخر حاجة اتكلمنا فيها اللى هو نوعين اللى هو ال horizontal asymptotes و ال oblique asymptotes بالنسبة لل horizontal asymptotes بيقولنا ناخد limit لل function لما ال X بده تروح الى infinity او لسالب infinity انطلع النتج يساوي رقم يبقى فيه ان horizontal asymptote Y تساوي هذا الرقم", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 25720, 13672, 7578, 6156, 9307, 2655, 1975, 34740, 11331, 26108, 3660, 1975, 2655, 4117, 19528, 8315, 8978, 11296, 13672, 7578, 31439, 8717, 45367, 9957, 13672, 7578, 31439, 2423, 12750, 35114, 17251, 4032, 2423, 23740, 1925, 35114, 17251, 20666, 1863, 35457, 3660, 24976, 12750, 35114, 17251, 4724, 1829, 39648, 8315, 8717, 47283, 3215, 4948, 24976, 2445, 5296, 15042, 2423, 1783, 47525, 3224, 6055, 32887, 5016, 2423, 7578, 13202, 1975, 2407, 5296, 3794, 6027, 3555, 13202, 16472, 9566, 1211, 3615, 28239, 2655, 7435, 7251, 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"probability": 0.6591796875}, {"start": 386.5, "end": 386.92, "word": " limit", "probability": 0.9228515625}, {"start": 386.92, "end": 387.26, "word": " لما", "probability": 0.833251953125}, {"start": 387.26, "end": 387.42, "word": " ال", "probability": 0.861328125}, {"start": 387.42, "end": 387.66, "word": " X", "probability": 0.64697265625}, {"start": 387.66, "end": 387.98, "word": " بده", "probability": 0.6221923828125}, {"start": 387.98, "end": 388.34, "word": " تروح", "probability": 0.9462890625}, {"start": 388.34, "end": 388.5, "word": " ل", "probability": 0.82080078125}, {"start": 388.5, "end": 388.84, "word": " 0", "probability": 0.193115234375}, {"start": 388.84, "end": 389.04, "word": " من", "probability": 0.98388671875}, {"start": 389.04, "end": 389.44, "word": " جهة", "probability": 0.9373372395833334}, {"start": 389.44, "end": 390.02, "word": " اليمين", "probability": 0.8763020833333334}, {"start": 390.02, "end": 391.42, "word": " لمين؟", "probability": 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{"start": 400.28, "end": 401.08, "word": " كم؟", "probability": 0.982421875}], "temperature": 1.0}, {"id": 17, "seek": 41387, "start": 401.25, "end": 413.87, "text": "ما لا نهاية infinity يبقى هذا بيخلف عن السؤال الأول، السؤال الأول اليمين غير الشمال يبقى قولنا does not exist، هنا اليمين ساوة الشمال", "tokens": [15042, 20193, 8717, 11296, 10632, 13202, 7251, 3555, 4587, 7578, 23758, 4724, 1829, 9778, 46538, 18871, 21136, 33604, 6027, 16247, 12610, 12399, 21136, 33604, 6027, 16247, 12610, 45595, 2304, 9957, 32771, 13546, 25124, 2304, 6027, 7251, 3555, 4587, 7578, 12174, 12610, 8315, 775, 406, 2514, 12399, 34105, 45595, 2304, 9957, 8608, 995, 2407, 3660, 25124, 2304, 6027], "avg_logprob": -0.3036099271527652, "compression_ratio": 1.60431654676259, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 401.25, "end": 401.69, "word": "ما", "probability": 0.302001953125}, {"start": 401.69, "end": 401.97, "word": " لا", "probability": 0.82275390625}, {"start": 401.97, "end": 402.47, "word": " نهاية", "probability": 0.93798828125}, {"start": 402.47, "end": 403.17, "word": " infinity", "probability": 0.337158203125}, {"start": 403.17, "end": 404.33, "word": " يبقى", "probability": 0.843017578125}, {"start": 404.33, "end": 404.67, "word": " هذا", "probability": 0.45361328125}, {"start": 404.67, "end": 405.29, "word": " بيخلف", "probability": 0.68792724609375}, {"start": 405.29, "end": 405.49, "word": " عن", "probability": 0.9365234375}, {"start": 405.49, "end": 405.87, "word": " السؤال", "probability": 0.9892578125}, {"start": 405.87, "end": 406.63, "word": " الأول،", "probability": 0.6888834635416666}, {"start": 406.63, "end": 407.13, "word": " السؤال", "probability": 0.8987630208333334}, {"start": 407.13, "end": 407.51, "word": " الأول", "probability": 0.89794921875}, {"start": 407.51, "end": 408.03, "word": " اليمين", "probability": 0.7032877604166666}, {"start": 408.03, "end": 408.53, "word": " غير", "probability": 0.9560546875}, {"start": 408.53, "end": 409.17, "word": " الشمال", "probability": 0.9622395833333334}, {"start": 409.17, "end": 409.77, "word": " يبقى", "probability": 0.93994140625}, {"start": 409.77, "end": 410.15, "word": " قولنا", "probability": 0.6417236328125}, {"start": 410.15, "end": 410.49, "word": " does", "probability": 0.48046875}, {"start": 410.49, "end": 411.01, "word": " not", "probability": 0.97314453125}, {"start": 411.01, "end": 412.13, "word": " exist،", "probability": 0.76123046875}, {"start": 412.13, "end": 412.37, "word": " هنا", "probability": 0.230224609375}, {"start": 412.37, "end": 412.85, "word": " اليمين", "probability": 0.8248697916666666}, {"start": 412.85, "end": 413.31, "word": " ساوة", "probability": 0.7264404296875}, {"start": 413.31, "end": 413.87, "word": " الشمال", "probability": 0.9890950520833334}], "temperature": 1.0}, {"id": 18, "seek": 43572, "start": 414.06, "end": 435.72, "text": "لكن النتيجة كانت infinity يبقى بقول ال limit ت��وى من infinity لاحظوا بالنسبة لهذا السؤال رسمناه قبل ذلك وقلنا لو كان هذا محور X وهذا محور Y يبقى هذا ال function اللي انا رسمت من Y تسوى واحد ع الاكس اربعة وهي Zero", "tokens": [1211, 19452, 28239, 31371, 7435, 3660, 25961, 2655, 13202, 7251, 3555, 4587, 7578, 4724, 39648, 2423, 4948, 6055, 3794, 2407, 7578, 9154, 13202, 20193, 5016, 19913, 14407, 20666, 1863, 35457, 3660, 46740, 15730, 21136, 33604, 6027, 12602, 38251, 8315, 3224, 12174, 36150, 29910, 23275, 4032, 4587, 1211, 8315, 45164, 25961, 23758, 3714, 5016, 13063, 1783, 37037, 15730, 3714, 5016, 13063, 398, 7251, 3555, 4587, 7578, 23758, 2423, 2445, 13672, 1829, 1975, 8315, 12602, 38251, 2655, 9154, 398, 6055, 3794, 2407, 7578, 36764, 24401, 6225, 42963, 4117, 3794, 1975, 25513, 27884, 37037, 1829, 17182], "avg_logprob": -0.2779255322319396, "compression_ratio": 1.73, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 414.06, "end": 414.64, "word": "لكن", "probability": 0.65087890625}, {"start": 414.64, "end": 415.3, "word": " النتيجة", "probability": 0.9591064453125}, 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"probability": 0.9853515625}, {"start": 428.92, "end": 429.74, "word": " يبقى", "probability": 0.9786376953125}, {"start": 429.74, "end": 430.0, "word": " هذا", "probability": 0.6865234375}, {"start": 430.0, "end": 430.16, "word": " ال", "probability": 0.9521484375}, {"start": 430.16, "end": 430.6, "word": " function", "probability": 0.8505859375}, {"start": 430.6, "end": 430.9, "word": " اللي", "probability": 0.892333984375}, {"start": 430.9, "end": 431.06, "word": " انا", "probability": 0.7275390625}, {"start": 431.06, "end": 431.56, "word": " رسمت", "probability": 0.8839518229166666}, {"start": 431.56, "end": 431.86, "word": " من", "probability": 0.97607421875}, {"start": 431.86, "end": 432.78, "word": " Y", "probability": 0.85888671875}, {"start": 432.78, "end": 433.54, "word": " تسوى", "probability": 0.74395751953125}, {"start": 433.54, "end": 434.12, "word": " واحد", "probability": 0.763427734375}, {"start": 434.12, "end": 434.28, "word": " ع", "probability": 0.442138671875}, 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"temperature": 1.0}, {"id": 20, "seek": 47913, "start": 467.13, "end": 479.13, "text": "لما ال X بدها تروح إلى تلاتة لمين لسالي باتنين على X ناقص تلاتة لكل ربيع", "tokens": [1211, 15042, 2423, 1783, 47525, 11296, 6055, 32887, 5016, 30731, 6055, 1211, 9307, 3660, 32767, 9957, 5296, 3794, 6027, 1829, 4724, 9307, 1863, 9957, 15844, 1783, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 5296, 28820, 12602, 3555, 40228], "avg_logprob": -0.25703126192092896, "compression_ratio": 1.3655913978494623, "no_speech_prob": 0.0, "words": [{"start": 467.13, "end": 467.71, "word": "لما", "probability": 0.52203369140625}, {"start": 467.71, "end": 467.91, "word": " ال", "probability": 0.603515625}, {"start": 467.91, "end": 468.41, "word": " X", "probability": 0.400634765625}, {"start": 468.41, "end": 469.39, "word": " بدها", "probability": 0.94580078125}, {"start": 469.39, "end": 470.09, "word": " تروح", "probability": 0.9122721354166666}, {"start": 470.09, "end": 470.55, "word": " إلى", "probability": 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يبقى بدنا نروح ناخد ال limit لما ال X بده تروح لتلاتة من جهة اليسار لسالب اتنين X ناقص تلاتة لكل تربية يسوى ناقص اتنين على", "tokens": [1829, 3555, 4587, 7578, 4724, 32887, 5016, 1975, 9778, 3215, 2423, 4948, 9154, 45595, 2304, 9957, 16070, 4948, 9154, 25124, 2304, 6027, 4032, 33599, 38688, 13412, 2407, 47525, 3224, 6055, 3615, 9566, 1829, 8315, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 32887, 5016, 8717, 47283, 3215, 2423, 4948, 5296, 15042, 2423, 1783, 47525, 3224, 6055, 32887, 5016, 5296, 2655, 1211, 9307, 3660, 9154, 10874, 3224, 3660, 45595, 3794, 9640, 5296, 3794, 6027, 3555, 1975, 2655, 1863, 9957, 1783, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 5296, 28820, 6055, 25513, 10632, 7251, 3794, 2407, 7578, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 15844], "avg_logprob": -0.1979166689373198, "compression_ratio": 1.9588235294117646, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 481.34, "end": 481.8, "word": "يبقى", "probability": 0.80120849609375}, {"start": 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621.42, "end": 621.96, "word": " لما", "probability": 0.84326171875}, {"start": 621.96, "end": 622.7, "word": " ننتقل", "probability": 0.97412109375}, {"start": 622.7, "end": 623.4, "word": " الآن", "probability": 0.818603515625}], "temperature": 1.0}, {"id": 27, "seek": 65184, "start": 623.66, "end": 651.84, "text": "الى من؟ الى اخر نقطة في هذا ال section وهو اخر نوع من انواع ال asymptotes اللي هي ال vertical asymptotes وهي النقطة الأخيرة في هذا ال section يبقى بنا نيجي للنقطة الرابعة والاخيرة في هذا ال section اللي هي رقم أربعة ال vertical asymptotes", "tokens": [6027, 7578, 9154, 22807, 2423, 7578, 1975, 34740, 8717, 47432, 3660, 8978, 23758, 2423, 3541, 37037, 2407, 1975, 34740, 8717, 45367, 9154, 16472, 14407, 3615, 2423, 35114, 17251, 13672, 1829, 39896, 2423, 9429, 35114, 17251, 37037, 1829, 28239, 47432, 3660, 16247, 9778, 48923, 8978, 23758, 2423, 3541, 7251, 3555, 4587, 7578, 4724, 8315, 8717, 1829, 7435, 1829, 24976, 1863, 47432, 3660, 34892, 16758, 27884, 16070, 47283, 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"text": "definition a line x يساوي a is a vertical asymptote خط قارب رأسي of the graph of", "tokens": [1479, 5194, 849, 257, 1622, 2031, 7251, 3794, 995, 45865, 257, 307, 257, 9429, 35114, 1370, 16490, 9566, 12174, 9640, 3555, 12602, 10721, 3794, 1829, 295, 264, 4295, 295], "avg_logprob": -0.19726562301317851, "compression_ratio": 0.9895833333333334, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 656.5500000000001, "end": 657.95, "word": "definition", "probability": 0.7006022135416666}, {"start": 657.95, "end": 659.35, "word": " a", "probability": 0.53125}, {"start": 659.35, "end": 660.09, "word": " line", "probability": 0.96240234375}, {"start": 660.09, "end": 661.71, "word": " x", "probability": 0.6484375}, {"start": 661.71, "end": 662.65, "word": " يساوي", "probability": 0.8216552734375}, {"start": 662.65, "end": 663.35, "word": " a", "probability": 0.849609375}, {"start": 663.35, "end": 665.07, "word": " is", "probability": 0.86376953125}, {"start": 665.07, "end": 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3660, 288, 6055, 3794, 995, 45865, 283, 295, 2031, 498, 2139, 1975, 15042, 4948, 24976, 283, 295, 2031, 5296, 15042, 2423, 2031, 47525, 11296, 6055, 32887, 5016, 24976, 257], "avg_logprob": -0.2526785663196019, "compression_ratio": 1.1584158415841583, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 681.82, "end": 682.24, "word": "the", "probability": 0.04888916015625}, {"start": 682.24, "end": 683.3, "word": " function", "probability": 0.96923828125}, {"start": 683.3, "end": 685.68, "word": " لدالة", "probability": 0.77325439453125}, {"start": 685.68, "end": 686.8, "word": " y", "probability": 0.55224609375}, {"start": 686.8, "end": 687.82, "word": " تساوي", "probability": 0.76739501953125}, {"start": 687.82, "end": 688.5, "word": " f", "probability": 0.83056640625}, {"start": 688.5, "end": 688.94, "word": " of", "probability": 0.716796875}, {"start": 688.94, "end": 689.46, "word": " x", "probability": 0.9658203125}, {"start": 689.46, "end": 690.68, "word": " if", "probability": 0.736328125}, {"start": 690.68, "end": 691.84, "word": " either", "probability": 0.94140625}, {"start": 691.84, "end": 693.44, "word": " اما", "probability": 0.62939453125}, {"start": 693.44, "end": 695.3, "word": " limit", "probability": 0.98046875}, {"start": 695.3, "end": 696.6, "word": " لل", "probability": 0.77197265625}, {"start": 696.6, "end": 697.1, "word": " f", "probability": 0.52392578125}, {"start": 697.1, "end": 697.54, "word": " of", "probability": 0.96923828125}, {"start": 697.54, "end": 698.12, "word": " x", "probability": 0.994140625}, {"start": 698.12, "end": 699.06, "word": " لما", "probability": 0.90869140625}, {"start": 699.06, "end": 699.28, "word": " ال", "probability": 0.9169921875}, {"start": 699.28, "end": 699.66, "word": " x", "probability": 0.80126953125}, {"start": 699.66, "end": 700.62, "word": " بدها", "probability": 0.9609375}, {"start": 700.62, "end": 701.42, "word": " تروح", "probability": 0.9957682291666666}, {"start": 701.42, "end": 702.52, "word": " لل", "probability": 0.9287109375}, {"start": 702.52, "end": 703.12, "word": " a", "probability": 0.95263671875}], "temperature": 1.0}, {"id": 30, "seek": 73020, "start": 703.48, "end": 730.2, "text": "من جهة اليمين تساوي زائد او ناقص infinity or limit لل F of X لما ال X بدها تروح لل A من جهة الشمال بده يساوي من زائد او ناقص infinity ناخد مثال توضيحي example find", "tokens": [27842, 10874, 3224, 3660, 2423, 32640, 9957, 6055, 3794, 995, 45865, 30767, 16373, 3215, 1975, 2407, 8717, 995, 4587, 9381, 13202, 420, 4948, 24976, 479, 295, 1783, 5296, 15042, 2423, 1783, 47525, 11296, 6055, 32887, 5016, 24976, 316, 9154, 10874, 3224, 3660, 25124, 2304, 6027, 47525, 3224, 7251, 3794, 995, 45865, 9154, 30767, 16373, 3215, 1975, 2407, 8717, 995, 4587, 9381, 13202, 8717, 47283, 3215, 50113, 6027, 33427, 11242, 1829, 5016, 1829, 1365, 915], "avg_logprob": -0.15302082896232605, "compression_ratio": 1.5590062111801242, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 703.48, "end": 703.88, "word": "من", "probability": 0.329345703125}, {"start": 703.88, "end": 704.58, "word": " جهة", "probability": 0.8837890625}, {"start": 704.58, "end": 705.58, "word": " اليمين", "probability": 0.8505859375}, {"start": 705.58, "end": 706.9, "word": " تساوي", "probability": 0.9075927734375}, {"start": 706.9, "end": 707.6, "word": " زائد", "probability": 0.7430826822916666}, {"start": 707.6, "end": 707.92, "word": " او", "probability": 0.7939453125}, {"start": 707.92, "end": 708.48, "word": " ناقص", "probability": 0.97998046875}, {"start": 708.48, "end": 709.38, "word": " infinity", "probability": 0.73193359375}, {"start": 709.38, "end": 710.7, "word": " or", "probability": 0.7021484375}, {"start": 710.7, "end": 712.0, "word": " limit", "probability": 0.9716796875}, {"start": 712.0, "end": 712.74, "word": " لل", "probability": 0.83154296875}, {"start": 712.74, "end": 713.14, "word": " F", "probability": 0.473876953125}, {"start": 713.14, "end": 713.48, "word": " of", "probability": 0.80810546875}, {"start": 713.48, "end": 713.88, "word": " X", "probability": 0.96240234375}, {"start": 713.88, "end": 714.72, "word": " لما", "probability": 0.881591796875}, {"start": 714.72, "end": 714.94, "word": " ال", "probability": 0.8203125}, {"start": 714.94, "end": 715.26, "word": " X", "probability": 0.76611328125}, {"start": 715.26, "end": 715.68, "word": " بدها", "probability": 0.6298828125}, {"start": 715.68, "end": 716.04, "word": " تروح", "probability": 0.97216796875}, {"start": 716.04, "end": 716.3, "word": " لل", "probability": 0.7451171875}, {"start": 716.3, "end": 716.62, "word": " A", "probability": 0.87939453125}, {"start": 716.62, "end": 716.86, "word": " من", "probability": 0.9853515625}, {"start": 716.86, "end": 717.3, "word": " جهة", "probability": 0.9715169270833334}, {"start": 717.3, "end": 717.96, "word": " الشمال", "probability": 0.9860026041666666}, {"start": 717.96, "end": 718.82, "word": " بده", "probability": 0.7392578125}, {"start": 718.82, "end": 719.26, "word": " يساوي", "probability": 0.9287109375}, {"start": 719.26, "end": 719.58, "word": " من", "probability": 0.4794921875}, {"start": 719.58, "end": 721.08, "word": " زائد", "probability": 0.93359375}, {"start": 721.08, "end": 721.42, "word": " او", "probability": 0.9404296875}, {"start": 721.42, "end": 722.26, "word": " ناقص", "probability": 0.99755859375}, {"start": 722.26, "end": 723.44, "word": " infinity", "probability": 0.86962890625}, {"start": 723.44, "end": 724.88, "word": " ناخد", "probability": 0.96826171875}, {"start": 724.88, "end": 725.38, "word": " مثال", "probability": 0.939453125}, {"start": 725.38, "end": 726.38, "word": " توضيحي", "probability": 0.9103515625}, {"start": 726.38, "end": 727.16, "word": " example", "probability": 0.7880859375}, {"start": 727.16, "end": 730.2, "word": " find", "probability": 0.66845703125}], "temperature": 1.0}, {"id": 31, "seek": 75487, "start": 733.79, "end": 754.87, "text": "the asymptotes of the function f of x يسوى x على x تربيع ناقص أربع", "tokens": [3322, 35114, 17251, 295, 264, 2445, 283, 295, 2031, 7251, 3794, 2407, 7578, 2031, 15844, 2031, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 5551, 25513, 3615], "avg_logprob": -0.2795758896640369, "compression_ratio": 1.011764705882353, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 733.7900000000001, "end": 735.19, "word": "the", "probability": 0.1104736328125}, {"start": 735.19, "end": 736.59, "word": " asymptotes", "probability": 0.91162109375}, {"start": 736.59, "end": 742.63, "word": " of", "probability": 0.63134765625}, {"start": 742.63, "end": 744.57, "word": " the", "probability": 0.93212890625}, {"start": 744.57, "end": 746.45, "word": " function", "probability": 0.97412109375}, {"start": 746.45, "end": 747.77, "word": " f", "probability": 0.75146484375}, {"start": 747.77, "end": 748.21, "word": " of", "probability": 0.406982421875}, {"start": 748.21, "end": 748.79, "word": " x", "probability": 0.95361328125}, {"start": 748.79, "end": 750.29, "word": " يسوى", "probability": 0.8529052734375}, {"start": 750.29, "end": 750.81, "word": " x", "probability": 0.93408203125}, {"start": 750.81, "end": 751.83, "word": " على", "probability": 0.59326171875}, {"start": 751.83, "end": 752.27, "word": " x", "probability": 0.9501953125}, {"start": 752.27, "end": 753.13, "word": " تربيع", "probability": 0.7835693359375}, {"start": 753.13, "end": 754.37, "word": " ناقص", "probability": 0.873291015625}, {"start": 754.37, "end": 754.87, "word": " أربع", "probability": 0.661376953125}], "temperature": 1.0}, {"id": 32, "seek": 78860, "start": 782.58, "end": 788.6, "text": "يوجد آخر نوع من أنواع الـ asymptotes اللي هو الـ vertical asymptote", "tokens": [1829, 29245, 3215, 19753, 34740, 8717, 45367, 9154, 14739, 14407, 3615, 2423, 39184, 35114, 17251, 13672, 1829, 31439, 2423, 39184, 9429, 35114, 1370], "avg_logprob": -0.3362630245586236, "compression_ratio": 1.1566265060240963, "no_speech_prob": 0.0, "words": [{"start": 782.58, "end": 782.98, "word": "يوجد", "probability": 0.7384440104166666}, {"start": 782.98, "end": 783.36, "word": " آخر", "probability": 0.736083984375}, {"start": 783.36, "end": 783.78, "word": " نوع", "probability": 0.93310546875}, {"start": 783.78, "end": 784.58, "word": " من", "probability": 0.79052734375}, {"start": 784.58, "end": 785.0, "word": " أنواع", "probability": 0.7882486979166666}, {"start": 785.0, "end": 785.12, "word": " الـ", "probability": 0.6510009765625}, {"start": 785.12, "end": 785.88, "word": " asymptotes", "probability": 0.591552734375}, {"start": 785.88, "end": 786.2, "word": " اللي", "probability": 0.60986328125}, {"start": 786.2, "end": 786.34, "word": " هو", "probability": 0.97900390625}, {"start": 786.34, "end": 786.64, "word": " الـ", "probability": 0.717529296875}, {"start": 786.64, "end": 787.34, "word": " vertical", "probability": 0.626953125}, {"start": 787.34, "end": 788.6, "word": " asymptote", "probability": 0.89453125}], "temperature": 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"probability": 0.919921875}, {"start": 807.89, "end": 808.67, "word": " اما", "probability": 0.6466064453125}, {"start": 808.67, "end": 809.07, "word": " limit", "probability": 0.93017578125}, {"start": 809.07, "end": 809.29, "word": " ال", "probability": 0.2308349609375}, {"start": 809.29, "end": 809.45, "word": " F", "probability": 0.92578125}, {"start": 809.45, "end": 809.65, "word": " of", "probability": 0.955078125}, {"start": 809.65, "end": 809.87, "word": " X", "probability": 0.99609375}, {"start": 809.87, "end": 810.13, "word": " لما", "probability": 0.920654296875}, {"start": 810.13, "end": 810.27, "word": " ال", "probability": 0.89453125}, {"start": 810.27, "end": 810.39, "word": " X", "probability": 0.9599609375}, {"start": 810.39, "end": 810.63, "word": " بده", "probability": 0.4752197265625}, {"start": 810.63, "end": 810.91, "word": " يروح", "probability": 0.9674479166666666}, {"start": 810.91, "end": 811.19, "word": " لل", "probability": 0.428466796875}, {"start": 811.19, 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"probability": 0.99755859375}, {"start": 816.15, "end": 816.39, "word": " لما", "probability": 0.97509765625}, {"start": 816.39, "end": 816.51, "word": " ال", "probability": 0.97021484375}, {"start": 816.51, "end": 816.63, "word": " X", "probability": 0.984375}, {"start": 816.63, "end": 816.81, "word": " بده", "probability": 0.796875}, {"start": 816.81, "end": 816.97, "word": " يروح", "probability": 0.8619791666666666}, {"start": 816.97, "end": 817.17, "word": " لل", "probability": 0.7080078125}, {"start": 817.17, "end": 817.35, "word": " A", "probability": 0.7451171875}, {"start": 817.35, "end": 817.51, "word": " من", "probability": 0.99267578125}, {"start": 817.51, "end": 817.83, "word": " جهة", "probability": 0.96728515625}, {"start": 817.83, "end": 818.39, "word": " الشمال", "probability": 0.9894205729166666}], "temperature": 1.0}, {"id": 34, "seek": 83610, "start": 821.92, "end": 836.1, "text": "معنى هذا الكلام ان limit ال F of X لما ال X بتروح لل A قد يكون infinity و قد يكون سالب infinity مش اتنين فيها من واحد اما هذه او تلك ماعنا مشكلة", "tokens": [2304, 3615, 1863, 7578, 23758, 2423, 28820, 10943, 16472, 4948, 2423, 479, 295, 1783, 5296, 15042, 2423, 1783, 39894, 32887, 5016, 24976, 316, 12174, 3215, 7251, 30544, 13202, 4032, 12174, 3215, 7251, 30544, 8608, 6027, 3555, 13202, 37893, 1975, 2655, 1863, 9957, 8978, 11296, 9154, 36764, 24401, 1975, 15042, 29538, 1975, 2407, 6055, 23275, 19446, 3615, 8315, 37893, 28820, 3660], "avg_logprob": -0.33811475409836067, "compression_ratio": 1.4805194805194806, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 821.92, "end": 822.64, "word": "معنى", "probability": 0.7049713134765625}, {"start": 822.64, "end": 822.84, "word": " هذا", "probability": 0.62646484375}, {"start": 822.84, "end": 823.38, "word": " الكلام", "probability": 0.8564453125}, {"start": 823.38, "end": 823.6, "word": " ان", "probability": 0.51708984375}, {"start": 823.6, "end": 823.94, "word": " limit", "probability": 0.146728515625}, {"start": 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1406.68, "word": " positive", "probability": 0.951171875}, {"start": 1406.68, "end": 1408.06, "word": " quantity", "probability": 0.82080078125}], "temperature": 1.0}, {"id": 61, "seek": 143229, "start": 1408.89, "end": 1432.29, "text": "هذا سيعطيك نص يبقى هذا الكلام واحد على اتنين very small positive quantity يبقى هذا سيعطيك main infinity يبقى تحقق الأولى على حده وتحقق الثاني على حده لنفس الخط يبقى باجي بقول له", "tokens": [3224, 15730, 8608, 40228, 9566, 1829, 4117, 8717, 9381, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 588, 1359, 3353, 11275, 7251, 3555, 4587, 7578, 23758, 8608, 40228, 9566, 1829, 4117, 2135, 13202, 7251, 3555, 4587, 7578, 6055, 5016, 4587, 4587, 16247, 12610, 7578, 15844, 11331, 3215, 3224, 34683, 5016, 4587, 4587, 6024, 104, 7649, 1829, 15844, 11331, 3215, 3224, 5296, 1863, 36178, 33962, 9566, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 46740], "avg_logprob": -0.24265812929854336, 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asymptote", "tokens": [6027, 39184, 2031, 7251, 3794, 995, 45865, 8608, 6027, 3555, 1975, 2655, 1863, 9957, 307, 257, 9429, 35114, 1370], "avg_logprob": -0.2056640565395355, "compression_ratio": 0.9, "no_speech_prob": 0.0, "words": [{"start": 1433.26, "end": 1433.7, "word": "الـ", "probability": 0.67138671875}, {"start": 1433.7, "end": 1433.98, "word": " x", "probability": 0.39990234375}, {"start": 1433.98, "end": 1434.6, "word": " يساوي", "probability": 0.707489013671875}, {"start": 1434.6, "end": 1435.24, "word": " سالب", "probability": 0.73486328125}, {"start": 1435.24, "end": 1435.98, "word": " اتنين", "probability": 0.8831787109375}, {"start": 1435.98, "end": 1436.92, "word": " is", "probability": 0.59716796875}, {"start": 1436.92, "end": 1437.92, "word": " a", "probability": 0.9912109375}, {"start": 1437.92, "end": 1439.56, "word": " vertical", "probability": 0.91357421875}, {"start": 1439.56, "end": 1441.6, "word": " asymptote", "probability": 0.968017578125}], "temperature": 1.0}, {"id": 63, "seek": 146772, "start": 1444.68, "end": 1467.72, "text": "يبقى طالع عندنا بدل الخط اتنين vertical asymptote و horizontal asymptote واحد وماعنديش oblique asymptote فانتوا ملاحظين اننا بنحسب ال asymptotes هذه نظريا لكن عمليا على أرض الواقع ماشوفناش بالمرة لذلك بنحاول نعطيك", "tokens": [1829, 3555, 4587, 7578, 23032, 6027, 3615, 43242, 8315, 47525, 1211, 33962, 9566, 1975, 2655, 1863, 9957, 9429, 35114, 1370, 4032, 12750, 35114, 1370, 36764, 24401, 4032, 15042, 3615, 1863, 16254, 8592, 23740, 1925, 35114, 1370, 6156, 7649, 2655, 14407, 3714, 15040, 5016, 19913, 9957, 16472, 8315, 44945, 5016, 35457, 2423, 35114, 17251, 29538, 8717, 19913, 16572, 995, 44381, 6225, 2304, 20292, 995, 15844, 5551, 43042, 2423, 14407, 4587, 3615, 19446, 8592, 38688, 1863, 33599, 20666, 2304, 25720, 5296, 8848, 23275, 44945, 5016, 995, 12610, 8717, 3615, 9566, 1829, 4117], "avg_logprob": -0.18578297161793972, "compression_ratio": 1.5885167464114833, "no_speech_prob": 5.960464477539063e-08, 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يبقى example يقول sketch the graph of the function sketch the graph of", "tokens": [2304, 12984, 6027, 6225, 2304, 20292, 4032, 1863, 5016, 995, 12610, 8717, 2288, 38251, 2423, 2445, 4032, 2423, 35114, 17251, 6055, 3555, 34268, 11296, 7251, 3555, 4587, 7578, 8717, 1829, 7435, 1829, 8717, 47283, 3215, 50113, 6027, 5551, 9778, 13546, 7251, 3555, 4587, 7578, 1365, 7251, 39648, 12325, 264, 4295, 295, 264, 2445, 12325, 264, 4295, 295], "avg_logprob": -0.2724945976816375, "compression_ratio": 1.4217687074829932, "no_speech_prob": 0.0, "words": [{"start": 1468.07, "end": 1469.23, "word": "مثال", "probability": 0.8733723958333334}, {"start": 1469.23, "end": 1469.93, "word": " عملي", "probability": 0.9586588541666666}, {"start": 1469.93, "end": 1470.89, "word": " ونحاول", "probability": 0.81708984375}, {"start": 1470.89, "end": 1471.41, "word": " نرسم", "probability": 0.9666341145833334}, {"start": 1471.41, "end": 1471.69, "word": " ال", "probability": 0.9609375}, {"start": 1471.69, "end": 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function دالة Y تساوي X تربيع ناقص واحد على اتنين X زائد أربعة and و الله كذلك بعد ما ترسم find the asymptotes and", "tokens": [2278, 2445, 11778, 6027, 3660, 398, 6055, 3794, 995, 45865, 1783, 6055, 2288, 21292, 3615, 8717, 995, 4587, 9381, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 1783, 30767, 16373, 3215, 5551, 25513, 27884, 293, 4032, 21984, 9122, 8848, 23275, 39182, 19446, 6055, 2288, 38251, 915, 264, 35114, 17251, 293], "avg_logprob": -0.2534374886751175, "compression_ratio": 1.206896551724138, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1498.67, "end": 1499.05, "word": "The", "probability": 0.0693359375}, {"start": 1499.05, "end": 1500.09, "word": " function", "probability": 0.943359375}, {"start": 1500.09, "end": 1501.69, "word": " دالة", "probability": 0.5257161458333334}, {"start": 1501.69, "end": 1502.11, "word": " Y", "probability": 0.52880859375}, {"start": 1502.11, "end": 1503.19, "word": " تساوي", "probability": 0.925537109375}, {"start": 1503.19, 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تاني كمان في شبط الأربعة ان شاء الله تعالى طيب solution", "tokens": [35, 36228, 3532, 2115, 13672, 1829, 31439, 5551, 7435, 11622, 16606, 16712, 5016, 24793, 46740, 24192, 32748, 37977, 23032, 3555, 3615, 995, 9122, 19528, 3660, 10874, 16254, 41891, 32767, 8717, 38251, 3615, 4724, 11296, 9154, 12174, 36150, 44381, 8608, 2304, 3615, 8315, 11296, 5296, 4117, 45595, 20498, 4032, 8032, 1863, 38251, 3615, 11296, 5296, 4117, 6055, 7649, 1829, 9122, 2304, 7649, 8978, 13412, 3555, 9566, 16247, 25513, 27884, 16472, 13412, 16606, 21984, 37279, 6027, 7578, 23032, 1829, 3555, 3827], "avg_logprob": -0.17910155560821295, "compression_ratio": 1.553763440860215, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 1583.02, "end": 1583.76, "word": "Demonetic", "probability": 0.3256632486979167}, {"start": 1583.76, "end": 1584.36, "word": " terms", "probability": 0.57177734375}, {"start": 1584.36, "end": 1584.76, "word": " اللي", "probability": 0.681640625}, {"start": 1584.76, "end": 1584.94, 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"word": " الأربعة", "probability": 0.6767578125}, {"start": 1597.22, "end": 1597.56, "word": " ان", "probability": 0.5751953125}, {"start": 1597.56, "end": 1597.9, "word": " شاء", "probability": 0.97216796875}, {"start": 1597.9, "end": 1598.2, "word": " الله", "probability": 0.9306640625}, {"start": 1598.2, "end": 1598.96, "word": " تعالى", "probability": 0.9656575520833334}, {"start": 1598.96, "end": 1600.04, "word": " طيب", "probability": 0.8995768229166666}, {"start": 1600.04, "end": 1600.84, "word": " solution", "probability": 0.61083984375}], "temperature": 1.0}, {"id": 69, "seek": 162964, "start": 1602.3, "end": 1629.64, "text": "ليس بالضرورة أن نبدأ عملية الرسم لأن ماعنديش معلومات لكن بقدر أجيب له ال asymptotes و بعد هيك الdominant terms مثلا و بعد هيك نرسم او نرسم و بعد هيك ال dominant terms مش مشكلة لكن أبسط حاجة أني أحسبله ال asymptotes السؤال هو هل يوجد عندي horizontal asymptote في", "tokens": [20292, 3794, 20666, 11242, 2288, 13063, 3660, 14739, 8717, 44510, 10721, 6225, 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للمطلوب الثاني في المثلة المطلوب التاني قال لي ارسم وقال لي هاتلي ال terms اجزاء التحكم في هذه الدلة تعالى نشوف ايش قصة اجزاء التحكم احنا انا y يسوى x على 2 ناقص واحد تلاتة على اتنين في x زائد اتنين هذه الدلة", "tokens": [3555, 1863, 7649, 1829, 7435, 5296, 15042, 1863, 22807, 5296, 19528, 9566, 1211, 37746, 6024, 104, 7649, 1829, 8978, 9673, 12984, 37977, 9673, 9566, 1211, 37746, 16712, 7649, 1829, 50239, 32239, 1975, 2288, 38251, 4032, 4587, 6027, 32239, 8032, 9307, 20292, 2423, 2115, 1975, 7435, 11622, 16606, 16712, 5016, 24793, 8978, 29538, 32748, 37977, 37279, 6027, 7578, 8717, 8592, 38688, 1975, 1829, 8592, 12174, 9381, 3660, 1975, 7435, 11622, 16606, 16712, 5016, 24793, 1975, 5016, 8315, 1975, 8315, 288, 7251, 3794, 2407, 7578, 2031, 15844, 568, 8717, 995, 4587, 9381, 36764, 24401, 6055, 1211, 9307, 3660, 15844, 1975, 2655, 1863, 9957, 8978, 2031, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 29538, 32748, 37977], "avg_logprob": -0.23259320371506506, "compression_ratio": 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هذا هو الجزء الأول وهذا هو الجزء الثاني", "tokens": [1829, 3555, 4587, 7578, 29538, 2423, 2445, 3714, 4117, 2407, 11703, 1863, 3660, 9154, 10874, 11622, 19986, 9957, 23758, 31439, 25724, 11622, 38207, 16247, 12610, 37037, 15730, 31439, 25724, 11622, 38207, 6024, 104, 7649, 1829], "avg_logprob": -0.1707899280720287, "compression_ratio": 1.368421052631579, "no_speech_prob": 0.0, "words": [{"start": 2139.36, "end": 2139.98, "word": "يبقى", "probability": 0.8690185546875}, {"start": 2139.98, "end": 2140.26, "word": " هذه", "probability": 0.8623046875}, {"start": 2140.26, "end": 2140.42, "word": " ال", "probability": 0.91357421875}, {"start": 2140.42, "end": 2140.78, "word": " function", "probability": 0.4423828125}, {"start": 2140.78, "end": 2141.9, "word": " مكوّنة", "probability": 0.7878011067708334}, {"start": 2141.9, "end": 2142.18, "word": " من", "probability": 0.986328125}, {"start": 2142.18, "end": 2143.3, "word": " جزئين", "probability": 0.8614501953125}, {"start": 2143.3, "end": 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على الاشتقاق حاجة فيكم؟ بتسأل أي سؤال هنا؟", "tokens": [3555, 22488, 19446, 8717, 47283, 3215, 7187, 38637, 1211, 5718, 104, 3660, 4032, 8717, 32887, 5016, 15844, 7187, 5551, 25513, 3615, 7187, 38637, 1211, 5718, 104, 3660, 2423, 33599, 2655, 4587, 995, 4587, 7187, 5551, 25513, 3615, 6055, 9566, 21292, 4587, 9307, 15844, 3714, 9957, 15844, 2423, 33599, 2655, 4587, 995, 4587, 11331, 26108, 3660, 8978, 24793, 22807, 39894, 3794, 10721, 1211, 36632, 8608, 33604, 6027, 34105, 22807], "avg_logprob": -0.23754529244657877, "compression_ratio": 1.6666666666666667, "no_speech_prob": 2.562999725341797e-06, "words": [{"start": 2718.75, "end": 2719.41, "word": "بعد", "probability": 0.80908203125}, {"start": 2719.41, "end": 2719.53, "word": " ما", "probability": 0.89501953125}, {"start": 2719.53, "end": 2719.91, "word": " ناخد", "probability": 0.9729817708333334}, {"start": 2719.91, "end": 2720.25, "word": " chapter", "probability": 0.41650390625}, {"start": 2720.25, "end": 2720.89, "word": " 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having slope الويل تبعها سالب واحد that are tangent that are tangent to the curve", "tokens": [2670, 439, 3876, 20449, 18513, 1211, 33962, 9566, 2407, 9566, 9673, 14851, 4587, 32640, 3660, 1419, 13525, 2423, 2407, 26895, 6055, 3555, 3615, 11296, 8608, 6027, 3555, 36764, 24401, 300, 366, 27747, 300, 366, 27747, 281, 264, 7605], "avg_logprob": -0.2590144368318411, "compression_ratio": 1.25, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 4467.050000000001, "end": 4468.450000000001, "word": "of", "probability": 0.5166015625}, {"start": 4468.450000000001, "end": 4469.85, "word": " all", "probability": 0.9306640625}, {"start": 4469.85, "end": 4471.99, "word": " lines", "probability": 0.84130859375}, {"start": 4471.99, "end": 4473.03, "word": " معادل", "probability": 0.56298828125}, {"start": 4473.03, "end": 4473.47, "word": " الخطوط", "probability": 0.9056396484375}, {"start": 4473.47, "end": 4474.61, "word": " المستقيمة", "probability": 0.981640625}, {"start": 4474.61, "end": 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4491.07, "end": 4492.25, "word": " to", "probability": 0.97900390625}, {"start": 4492.25, "end": 4492.85, "word": " the", "probability": 0.80419921875}, {"start": 4492.85, "end": 4494.97, "word": " curve", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 187, "seek": 451276, "start": 4511.32, "end": 4512.76, "text": "سؤال مرة تانية", "tokens": [3794, 33604, 6027, 3714, 25720, 6055, 7649, 10632], "avg_logprob": -0.2282986111111111, "compression_ratio": 0.7428571428571429, "no_speech_prob": 0.0, "words": [{"start": 4511.32, "end": 4512.08, "word": "سؤال", "probability": 0.7840983072916666}, {"start": 4512.08, "end": 4512.38, "word": " مرة", "probability": 0.917236328125}, {"start": 4512.38, "end": 4512.76, "word": " تانية", "probability": 0.9309895833333334}], "temperature": 1.0}, {"id": 188, "seek": 453192, "start": 4515.28, "end": 4531.92, "text": "هذا مقدار الميل ونشوف ايش اللي مش موجود و ايش اللي مش موجود عشان نقدر نوجه و نجاوب على السؤال سؤال مرة تانية بيقول لهذه معادلات 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يبقى", "probability": 0.9339599609375}, {"start": 5516.71, "end": 5517.01, "word": " هاي", "probability": 0.5030517578125}, {"start": 5517.01, "end": 5517.13, "word": " ال", "probability": 0.330810546875}, {"start": 5517.13, "end": 5517.55, "word": " limit", "probability": 0.91845703125}, {"start": 5517.55, "end": 5518.29, "word": " لما", "probability": 0.9140625}, {"start": 5518.29, "end": 5518.53, "word": " ال", "probability": 0.9072265625}, {"start": 5518.53, "end": 5518.83, "word": " H", "probability": 0.85595703125}, {"start": 5518.83, "end": 5519.17, "word": " بده", "probability": 0.515625}, {"start": 5519.17, "end": 5519.47, "word": " تروح", "probability": 0.9410807291666666}, {"start": 5519.47, "end": 5519.65, "word": " ل", "probability": 0.395263671875}, {"start": 5519.65, "end": 5519.99, "word": " Zero", "probability": 0.6923828125}, {"start": 5519.99, "end": 5520.23, "word": " من", "probability": 0.9873046875}, {"start": 5520.23, "end": 5520.63, "word": " جهة", "probability": 0.884765625}, {"start": 5520.63, "end": 5521.31, "word": " الشمال", "probability": 0.9847005208333334}, {"start": 5521.31, "end": 5522.71, "word": " لواحد", "probability": 0.690185546875}, {"start": 5522.71, "end": 5523.45, "word": " على", "probability": 0.78564453125}, {"start": 5523.45, "end": 5523.91, "word": " H", "probability": 0.91796875}, {"start": 5523.91, "end": 5524.77, "word": " تربيه", "probability": 0.84033203125}, {"start": 5524.77, "end": 5525.01, "word": " أس", "probability": 0.34722900390625}, {"start": 5525.01, "end": 5525.65, "word": " تلت", "probability": 0.9013671875}, {"start": 5525.65, "end": 5526.35, "word": " مش", "probability": 0.79638671875}, {"start": 5526.35, "end": 5526.69, "word": " هيكوا", "probability": 0.78466796875}, {"start": 5526.69, "end": 5526.79, "word": " أس", "probability": 0.842529296875}, {"start": 5526.79, "end": 5527.37, "word": " تلتين", "probability": 0.9527587890625}], "temperature": 1.0}, {"id": 231, "seek": 554621, "start": 5527.93, "end": 5546.21, "text": "طيب يبقى هذا الكلام بده يصير واحد على zero من جهة الشمال يبقى H سالي بقى يبقى very small negative لكل تربيع يبقى very small negative quantity", "tokens": [9566, 1829, 3555, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 9381, 13546, 36764, 24401, 15844, 4018, 9154, 10874, 3224, 3660, 25124, 2304, 6027, 7251, 3555, 4587, 7578, 389, 8608, 6027, 1829, 4724, 4587, 7578, 7251, 3555, 4587, 7578, 588, 1359, 3671, 5296, 28820, 6055, 2288, 21292, 3615, 7251, 3555, 4587, 7578, 588, 1359, 3671, 11275], "avg_logprob": -0.22109375124176342, "compression_ratio": 1.4513888888888888, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 5527.93, "end": 5528.61, "word": "طيب", "probability": 0.646728515625}, {"start": 5528.61, "end": 5529.37, "word": " يبقى", "probability": 0.9183349609375}, {"start": 5529.37, "end": 5529.67, "word": " هذا", "probability": 0.90673828125}, {"start": 5529.67, "end": 5530.33, "word": " الكلام", "probability": 0.9513346354166666}, {"start": 5530.33, "end": 5530.87, "word": " بده", "probability": 0.3184814453125}, {"start": 5530.87, "end": 5531.39, "word": " يصير", "probability": 0.9622395833333334}, {"start": 5531.39, "end": 5532.51, "word": " واحد", "probability": 0.90185546875}, {"start": 5532.51, "end": 5532.85, "word": " على", "probability": 0.60009765625}, {"start": 5532.85, "end": 5533.75, "word": " zero", "probability": 0.1893310546875}, {"start": 5533.75, "end": 5534.03, "word": " من", "probability": 0.96533203125}, {"start": 5534.03, "end": 5534.33, "word": " جهة", "probability": 0.8761393229166666}, {"start": 5534.33, "end": 5534.75, "word": " الشمال", "probability": 0.9814453125}, {"start": 5534.75, "end": 5535.07, "word": " يبقى", "probability": 0.965087890625}, {"start": 5535.07, "end": 5535.35, "word": " H", "probability": 0.5126953125}, {"start": 5535.35, "end": 5536.19, "word": " سالي", "probability": 0.7228190104166666}, {"start": 5536.19, "end": 5536.57, "word": " بقى", "probability": 0.9249674479166666}, {"start": 5536.57, "end": 5537.11, "word": " يبقى", "probability": 0.9610595703125}, {"start": 5537.11, "end": 5537.37, "word": " very", "probability": 0.7978515625}, {"start": 5537.37, "end": 5537.83, "word": " small", "probability": 0.93115234375}, {"start": 5537.83, "end": 5538.53, "word": " negative", "probability": 0.94580078125}, {"start": 5538.53, "end": 5539.33, "word": " لكل", "probability": 0.820556640625}, {"start": 5539.33, "end": 5540.31, "word": " تربيع", "probability": 0.8533935546875}, {"start": 5540.31, "end": 5541.39, "word": " يبقى", "probability": 0.96240234375}, {"start": 5541.39, "end": 5541.89, "word": " very", "probability": 0.83984375}, {"start": 5541.89, "end": 5543.37, "word": " small", "probability": 0.89697265625}, {"start": 5543.37, "end": 5544.73, "word": " negative", "probability": 0.9619140625}, {"start": 5544.73, "end": 5546.21, "word": " quantity", "probability": 0.96435546875}], "temperature": 1.0}, {"id": 232, "seek": 556032, "start": 5546.68, "end": 5560.32, "text": "تربيع كل أسطل يعني بيصير واحد very small positive quantity أسطل يعني قداش infinity", "tokens": [2655, 2288, 21292, 3615, 28242, 5551, 3794, 9566, 1211, 37495, 22653, 4724, 1829, 9381, 13546, 36764, 24401, 588, 1359, 3353, 11275, 5551, 3794, 9566, 1211, 37495, 22653, 12174, 3215, 33599, 13202], "avg_logprob": -0.19897461449727416, "compression_ratio": 1.145631067961165, "no_speech_prob": 0.0, "words": [{"start": 5546.68, "end": 5548.0, "word": "تربيع", "probability": 0.627685546875}, {"start": 5548.0, "end": 5548.52, "word": " كل", "probability": 0.97412109375}, {"start": 5548.52, "end": 5549.42, "word": " أسطل", "probability": 0.7198486328125}, {"start": 5549.42, "end": 5550.32, "word": " يعني", "probability": 0.84033203125}, {"start": 5550.32, "end": 5551.02, "word": " بيصير", "probability": 0.8721923828125}, {"start": 5551.02, "end": 5551.76, "word": " واحد", "probability": 0.98681640625}, {"start": 5551.76, "end": 5552.72, "word": " very", "probability": 0.7998046875}, {"start": 5552.72, "end": 5554.04, "word": " small", "probability": 0.49462890625}, {"start": 5554.04, "end": 5555.2, "word": " positive", "probability": 0.92236328125}, {"start": 5555.2, "end": 5556.96, "word": " quantity", "probability": 0.99072265625}, {"start": 5556.96, "end": 5558.4, "word": " أسطل", "probability": 0.9703369140625}, {"start": 5558.4, "end": 5559.04, "word": " يعني", "probability": 0.955810546875}, {"start": 5559.04, "end": 5559.7, "word": " قداش", "probability": 0.8899739583333334}, {"start": 5559.7, "end": 5560.32, "word": " infinity", "probability": 0.7314453125}], "temperature": 1.0}, {"id": 233, "seek": 558459, "start": 5561.39, "end": 5584.59, "text": "بالمثل بتروح اخد limit لما ال H بده تروح ل 0 من جهة اليمين ل 1 على H أس تلتين يعني limit لما ال H بده تروح ل 0 من جهة اليمين ل 1 very small positive", "tokens": [3555, 45340, 12984, 1211, 39894, 32887, 5016, 1975, 9778, 3215, 4948, 5296, 15042, 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H", "probability": 0.439208984375}, {"start": 5566.69, "end": 5567.05, "word": " بده", "probability": 0.6728515625}, {"start": 5567.05, "end": 5567.45, "word": " تروح", "probability": 0.9654947916666666}, {"start": 5567.45, "end": 5567.63, "word": " ل", "probability": 0.69091796875}, {"start": 5567.63, "end": 5567.97, "word": " 0", "probability": 0.2181396484375}, {"start": 5567.97, "end": 5568.23, "word": " من", "probability": 0.9912109375}, {"start": 5568.23, "end": 5568.67, "word": " جهة", "probability": 0.9638671875}, {"start": 5568.67, "end": 5569.37, "word": " اليمين", "probability": 0.8583984375}, {"start": 5569.37, "end": 5570.19, "word": " ل", "probability": 0.82373046875}, {"start": 5570.19, "end": 5571.45, "word": " 1", "probability": 0.71728515625}, {"start": 5571.45, "end": 5572.61, "word": " على", "probability": 0.50634765625}, {"start": 5572.61, "end": 5573.23, "word": " H", "probability": 0.90283203125}, {"start": 5573.23, "end": 5573.77, "word": " أس", "probability": 0.76513671875}, {"start": 5573.77, "end": 5574.73, "word": " تلتين", "probability": 0.85760498046875}, {"start": 5574.73, "end": 5575.59, "word": " يعني", "probability": 0.80322265625}, {"start": 5575.59, "end": 5576.25, "word": " limit", "probability": 0.7490234375}, {"start": 5576.25, "end": 5576.89, "word": " لما", "probability": 0.975830078125}, {"start": 5576.89, "end": 5577.09, "word": " ال", "probability": 0.98046875}, {"start": 5577.09, "end": 5577.39, "word": " H", "probability": 0.95458984375}, {"start": 5577.39, "end": 5577.73, "word": " بده", "probability": 0.939697265625}, {"start": 5577.73, "end": 5578.07, "word": " تروح", "probability": 0.99462890625}, {"start": 5578.07, "end": 5578.25, "word": " ل", "probability": 0.9482421875}, {"start": 5578.25, "end": 5578.61, "word": " 0", "probability": 0.8154296875}, {"start": 5578.61, "end": 5578.85, "word": " من", "probability": 0.9921875}, {"start": 5578.85, "end": 5579.29, "word": " جهة", "probability": 0.990234375}, {"start": 5579.29, "end": 5579.95, "word": " اليمين", "probability": 0.8766276041666666}, {"start": 5579.95, "end": 5580.49, "word": " ل", "probability": 0.92626953125}, {"start": 5580.49, "end": 5581.07, "word": " 1", "probability": 0.802734375}, {"start": 5581.07, "end": 5582.11, "word": " very", "probability": 0.6962890625}, {"start": 5582.11, "end": 5583.51, "word": " small", "probability": 0.900390625}, {"start": 5583.51, "end": 5584.59, "word": " positive", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 234, "seek": 560336, "start": 5587.9, "end": 5603.36, "text": "هذه موجة دائما و أبدا يبقى dash infinity يبقى ساق limit لما ال H بدأ تروح ل zero من جهات اليمين واحد على H أس تلتين يسوى كده؟", "tokens": [3224, 24192, 3714, 29245, 3660, 11778, 16373, 15042, 4032, 5551, 3555, 28259, 7251, 3555, 4587, 7578, 8240, 13202, 7251, 3555, 4587, 7578, 8608, 995, 4587, 4948, 5296, 15042, 2423, 389, 47525, 10721, 6055, 32887, 5016, 5296, 4018, 9154, 10874, 3224, 9307, 2423, 32640, 9957, 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"probability": 0.58837890625}, {"start": 5790.3, "end": 5791.0, "word": " طلب", "probability": 0.9794921875}, {"start": 5791.0, "end": 5791.88, "word": " مطلوبين", "probability": 0.93037109375}, {"start": 5791.88, "end": 5792.52, "word": " هل", "probability": 0.94970703125}, {"start": 5792.52, "end": 5792.98, "word": " الدالة", "probability": 0.8564453125}, {"start": 5792.98, "end": 5793.58, "word": " متصلة", "probability": 0.8971354166666666}, {"start": 5793.58, "end": 5793.8, "word": " عند", "probability": 0.9658203125}, {"start": 5793.8, "end": 5793.94, "word": " ال", "probability": 0.880859375}, {"start": 5793.94, "end": 5794.16, "word": " zero", "probability": 0.6572265625}, {"start": 5794.16, "end": 5794.44, "word": " ولا", "probability": 0.79833984375}, {"start": 5794.44, "end": 5794.74, "word": " لا", "probability": 0.66357421875}, {"start": 5794.74, "end": 5795.88, "word": " اتنين", "probability": 0.747802734375}, {"start": 5795.88, "end": 5796.66, "word": " هل", 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"probability": 0.98095703125}, {"start": 5899.09, "end": 5899.09, "word": " مرة", "probability": 0.98046875}, {"start": 5899.09, "end": 5899.09, "word": " مرة", "probability": 0.9814453125}, {"start": 5899.09, "end": 5899.09, "word": " مرة", "probability": 0.9814453125}, {"start": 5899.09, "end": 5899.09, "word": " مرة", "probability": 0.9814453125}, {"start": 5899.09, "end": 5900.85, "word": " مرة", "probability": 0.981689453125}, {"start": 5900.85, "end": 5901.91, "word": " مرة", "probability": 0.981689453125}, {"start": 5901.91, "end": 5903.49, "word": " مرة", "probability": 0.981689453125}, {"start": 5903.49, "end": 5903.49, "word": " مرة", "probability": 0.9814453125}, {"start": 5903.49, "end": 5903.49, "word": " مرة", "probability": 0.9814453125}, {"start": 5903.49, "end": 5903.49, "word": " مرة", "probability": 0.9814453125}, {"start": 5903.49, "end": 5903.49, "word": " مرة", "probability": 0.98193359375}, {"start": 5903.49, "end": 5903.65, "word": " مرة", "probability": 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continuous", "probability": 0.90087890625}, {"start": 5943.43, "end": 5944.73, "word": " at", "probability": 0.92626953125}, {"start": 5944.73, "end": 5945.81, "word": " X", "probability": 0.9677734375}, {"start": 5945.81, "end": 5946.81, "word": " يساوي", "probability": 0.76904296875}, {"start": 5946.81, "end": 5947.11, "word": " Zero", "probability": 0.82763671875}, {"start": 5947.11, "end": 5947.93, "word": " هذا", "probability": 0.8037109375}, {"start": 5947.93, "end": 5948.27, "word": " كل", "probability": 0.9765625}, {"start": 5948.27, "end": 5948.65, "word": " الشغل", "probability": 0.9069010416666666}, {"start": 5948.65, "end": 5949.81, "word": " اشتغلناه", "probability": 0.9357561383928571}, {"start": 5949.81, "end": 5950.09, "word": " اللي", "probability": 0.929931640625}, {"start": 5950.09, "end": 5950.23, "word": " هو", "probability": 0.9912109375}, {"start": 5950.23, "end": 5951.07, "word": " المطلوب", "probability": 0.968994140625}, {"start": 5951.07, "end": 5951.99, "word": " الأول", "probability": 0.8662109375}, {"start": 5951.99, "end": 5952.77, "word": " من", "probability": 0.9873046875}, {"start": 5952.77, "end": 5954.31, "word": " المسألة", "probability": 0.9638671875}, {"start": 5954.31, "end": 5955.43, "word": " نجي", "probability": 0.90283203125}, {"start": 5955.43, "end": 5956.09, "word": " للمطلوب", "probability": 0.9244140625}, {"start": 5956.09, "end": 5956.85, "word": " الثاني", "probability": 0.9500732421875}], "temperature": 1.0}, {"id": 250, "seek": 598446, "start": 5959.66, "end": 5984.46, "text": "المطموب التاني بيقول لي هل هذه لها vertical tangent عند ال zero ولا لا بنقول له الله أعلم يبقى احنا بدنا نروح ناخد main limit لما ال H بدها تروح لل zero لل F of zero زائد ال H ناقص ال F of zero على H", "tokens": [45340, 9566, 2304, 2407, 3555, 16712, 7649, 1829, 4724, 1829, 39648, 32239, 8032, 1211, 29538, 5296, 11296, 9429, 27747, 43242, 2423, 4018, 49429, 20193, 44945, 39648, 46740, 21984, 5551, 3615, 19528, 7251, 3555, 4587, 7578, 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"probability": 0.91015625}, {"start": 5971.04, "end": 5971.42, "word": " بدنا", "probability": 0.793212890625}, {"start": 5971.42, "end": 5971.74, "word": " نروح", "probability": 0.9580078125}, {"start": 5971.74, "end": 5972.18, "word": " ناخد", "probability": 0.95556640625}, {"start": 5972.18, "end": 5972.62, "word": " main", "probability": 0.54541015625}, {"start": 5972.62, "end": 5973.94, "word": " limit", "probability": 0.984375}, {"start": 5973.94, "end": 5974.74, "word": " لما", "probability": 0.842529296875}, {"start": 5974.74, "end": 5974.96, "word": " ال", "probability": 0.9384765625}, {"start": 5974.96, "end": 5975.28, "word": " H", "probability": 0.4052734375}, {"start": 5975.28, "end": 5975.82, "word": " بدها", "probability": 0.930419921875}, {"start": 5975.82, "end": 5976.38, "word": " تروح", "probability": 0.9921875}, {"start": 5976.38, "end": 5976.74, "word": " لل", "probability": 0.45703125}, {"start": 5976.74, "end": 5977.36, "word": " zero", "probability": 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