diff --git "a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/VxBMD5useYY_raw.json" "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/VxBMD5useYY_raw.json"
new file mode 100644--- /dev/null
+++ "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/VxBMD5useYY_raw.json"
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4751, "start": 21.29, "end": 47.51, "text": "بسم الله الرحمن الرحيم نكمل chapter عشرة اللي كنا بنتحدث فيه المرة اللي فاتت و آخر مرة أعطينا نظرية أو أول نظرية في ال isomorphism vs isomorphism theorem ثم أخدنا بعد ذلك كرولري عليها و الآن بنواصل في نفس ال chapter في هنا مثال بيقول هاتلي كل ال homomorphism من z12 إلى z13", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8717, 24793, 1211, 7187, 6225, 8592, 25720, 13672, 1829, 9122, 8315, 4724, 29399, 24401, 12984, 8978, 3224, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 4032, 19753, 34740, 3714, 25720, 5551, 3615, 9566, 1829, 8315, 8717, 19913, 2288, 10632, 34051, 5551, 12610, 8717, 19913, 2288, 10632, 8978, 2423, 307, 32702, 1434, 12041, 307, 32702, 1434, 20904, 38637, 2304, 5551, 9778, 3215, 8315, 39182, 29910, 23275, 9122, 2288, 12610, 16572, 25894, 11296, 4032, 6024, 48506, 44945, 2407, 33546, 1211, 8978, 8717, 36178, 2423, 7187, 8978, 34105, 50113, 6027, 4724, 1829, 39648, 8032, 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"end": 698.07, "word": " ال", "probability": 0.7470703125}, {"start": 698.07, "end": 698.55, "word": " kernel", "probability": 0.27880859375}, {"start": 698.55, "end": 698.89, "word": " لل", "probability": 0.3798828125}, {"start": 698.89, "end": 699.41, "word": " function", "probability": 0.697265625}, {"start": 699.41, "end": 700.01, "word": " Phi", "probability": 0.341064453125}, {"start": 700.01, "end": 700.67, "word": " من", "probability": 0.953125}, {"start": 700.67, "end": 700.97, "word": " G", "probability": 0.81640625}, {"start": 700.97, "end": 701.31, "word": " إلى", "probability": 0.8984375}, {"start": 701.31, "end": 701.79, "word": " G", "probability": 0.51708984375}, {"start": 701.79, "end": 702.39, "word": " modulo", "probability": 0.641845703125}, {"start": 702.39, "end": 702.75, "word": " N", "probability": 0.97119140625}, {"start": 702.75, "end": 703.49, "word": " والتي", "probability": 0.6953125}, {"start": 703.49, "end": 703.93, "word": " تُعطى", "probability": 0.81220703125}, {"start": 703.93, "end": 704.43, "word": " بالشكل", "probability": 0.95947265625}, {"start": 704.43, "end": 704.91, "word": " التالي", "probability": 0.97216796875}, {"start": 704.91, "end": 705.45, "word": " Phi", "probability": 0.8359375}, {"start": 705.45, "end": 705.83, "word": " of", "probability": 0.927734375}, {"start": 705.83, "end": 706.19, "word": " G", "probability": 0.98681640625}, {"start": 706.19, "end": 707.13, "word": " يسوى", "probability": 0.825927734375}, {"start": 707.13, "end": 707.49, "word": " lift", "probability": 0.308837890625}, {"start": 707.49, "end": 707.97, "word": " cost", "probability": 0.241455078125}, {"start": 707.97, "end": 708.35, "word": " من", "probability": 0.900390625}, {"start": 708.35, "end": 708.61, "word": " ال", "probability": 0.74267578125}, {"start": 708.61, "end": 708.97, "word": " factor", "probability": 0.8369140625}, {"start": 708.97, "end": 709.37, "word": " group", "probability": 0.96630859375}, {"start": 709.37, "end": 709.57, "word": " اللي", "probability": 0.93505859375}, {"start": 709.57, "end": 710.27, "word": " عندنا", "probability": 0.830078125}, {"start": 710.27, "end": 710.55, "word": " اللي", "probability": 0.910400390625}, {"start": 710.55, "end": 710.73, "word": " هو", "probability": 0.650390625}, {"start": 710.73, "end": 711.05, "word": " من", "probability": 0.499267578125}, {"start": 711.05, "end": 712.07, "word": " GN", "probability": 0.6943359375}], "temperature": 1.0}, {"id": 29, "seek": 72936, "start": 713.1, "end": 729.36, "text": "بدنا نحاول نثبت بعد ما نفرض ان ال N is a normal subgroup من G بدنا نحاول نحسب ال kernel لهذه ال Phi و نثبت انه مين", "tokens": [44510, 8315, 8717, 5016, 995, 12610, 8717, 12984, 3555, 2655, 39182, 19446, 8717, 5172, 43042, 16472, 2423, 426, 307, 257, 2710, 1422, 17377, 9154, 460, 47525, 8315, 8717, 5016, 995, 12610, 8717, 5016, 35457, 2423, 28256, 46740, 24192, 2423, 41435, 4032, 8717, 12984, 3555, 2655, 16472, 3224, 3714, 9957], "avg_logprob": 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"word": " normal", "probability": 0.80810546875}, {"start": 721.8, "end": 722.66, "word": " subgroup", "probability": 0.704833984375}, {"start": 722.66, "end": 722.98, "word": " من", "probability": 0.98046875}, {"start": 722.98, "end": 723.18, "word": " G", "probability": 0.8740234375}, {"start": 723.18, "end": 724.08, "word": " بدنا", "probability": 0.6724853515625}, {"start": 724.08, "end": 724.46, "word": " نحاول", "probability": 0.9866943359375}, {"start": 724.46, "end": 725.02, "word": " نحسب", "probability": 0.9908854166666666}, {"start": 725.02, "end": 725.22, "word": " ال", "probability": 0.82958984375}, {"start": 725.22, "end": 725.94, "word": " kernel", "probability": 0.5595703125}, {"start": 725.94, "end": 726.98, "word": " لهذه", "probability": 0.9638671875}, {"start": 726.98, "end": 727.32, "word": " ال", "probability": 0.8642578125}, {"start": 727.32, "end": 727.72, "word": " Phi", "probability": 0.1798095703125}, {"start": 727.72, "end": 728.22, "word": " و", "probability": 0.93310546875}, {"start": 728.22, "end": 728.76, "word": " نثبت", "probability": 0.885498046875}, {"start": 728.76, "end": 729.06, "word": " انه", "probability": 0.7265625}, {"start": 729.06, "end": 729.36, "word": " مين", "probability": 0.56884765625}], "temperature": 1.0}, {"id": 30, "seek": 75614, "start": 730.32, "end": 756.14, "text": "اللي هو ال subgroup اللي عندنا بالضبط تماما هذه يبقى باجي بقوله أول شيء بدي أبيله أن هذا homomorphism و بعد هيك بدي أروح أجيب main ال kernel له يبقى باجي بقوله Phi is homomorphism هذا اللي بدي أروح إيه أثبته لذلك لو روحت أخد Phi of G1 G2", "tokens": [6027, 20292, 31439, 2423, 1422, 17377, 13672, 1829, 43242, 8315, 20666, 11242, 3555, 9566, 46811, 10943, 995, 29538, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 5551, 12610, 44049, 38207, 4724, 16254, 5551, 21292, 43761, 14739, 23758, 3655, 32702, 1434, 4032, 39182, 39896, 4117, 4724, 16254, 5551, 32887, 5016, 5551, 7435, 1829, 3555, 2135, 2423, 28256, 46740, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 41435, 307, 3655, 32702, 1434, 23758, 13672, 1829, 4724, 16254, 5551, 32887, 5016, 11933, 1829, 3224, 5551, 12984, 3555, 47395, 5296, 8848, 23275, 45164, 12602, 2407, 33753, 5551, 9778, 3215, 41435, 295, 460, 16, 460, 17], "avg_logprob": -0.2483785349243092, "compression_ratio": 1.7370892018779343, "no_speech_prob": 0.0, "words": [{"start": 730.3199999999999, "end": 731.16, "word": "اللي", "probability": 0.3511962890625}, {"start": 731.16, "end": 731.44, "word": " هو", "probability": 0.87109375}, {"start": 731.44, "end": 731.66, "word": " ال", "probability": 0.6533203125}, {"start": 731.66, "end": 732.6, "word": " subgroup", "probability": 0.4869384765625}, {"start": 732.6, "end": 732.98, "word": " الل��", "probability": 0.89501953125}, {"start": 732.98, "end": 733.34, "word": " عندنا", "probability": 0.9169921875}, {"start": 733.34, "end": 733.9, "word": " بالضبط", "probability": 0.91796875}, {"start": 733.9, "end": 734.66, "word": " تماما", "probability": 0.97802734375}, {"start": 734.66, "end": 735.02, "word": " هذه", "probability": 0.51171875}, {"start": 735.02, "end": 736.12, "word": " يبقى", "probability": 0.927978515625}, {"start": 736.12, "end": 736.4, "word": " باجي", "probability": 0.8330078125}, {"start": 736.4, "end": 737.08, "word": " بقوله", "probability": 0.9212239583333334}, {"start": 737.08, "end": 738.04, "word": " أول", "probability": 0.762939453125}, {"start": 738.04, "end": 738.42, "word": " شيء", "probability": 0.4814453125}, {"start": 738.42, "end": 738.6, "word": " بدي", "probability": 0.57470703125}, {"start": 738.6, "end": 739.04, "word": " أبيله", "probability": 0.65185546875}, {"start": 739.04, "end": 739.3, "word": " أن", "probability": 0.467041015625}, {"start": 739.3, "end": 739.72, "word": " هذا", "probability": 0.69140625}, {"start": 739.72, "end": 740.88, "word": " homomorphism", "probability": 0.8064778645833334}, {"start": 740.88, "end": 741.06, "word": " و", "probability": 0.6845703125}, {"start": 741.06, "end": 741.32, "word": " بعد", "probability": 0.8642578125}, {"start": 741.32, "end": 741.56, "word": " هيك", "probability": 0.71728515625}, {"start": 741.56, "end": 741.74, "word": " بدي", "probability": 0.867431640625}, {"start": 741.74, "end": 741.96, "word": " أروح", "probability": 0.9010416666666666}, {"start": 741.96, "end": 742.26, "word": " أجيب", "probability": 0.969482421875}, {"start": 742.26, "end": 742.62, "word": " main", "probability": 0.27685546875}, {"start": 742.62, "end": 743.26, "word": " ال", "probability": 0.76171875}, {"start": 743.26, "end": 743.9, "word": " kernel", "probability": 0.78173828125}, {"start": 743.9, "end": 744.4, "word": " له", "probability": 0.50439453125}, {"start": 744.4, "end": 745.32, "word": " يبقى", "probability": 0.9716796875}, {"start": 745.32, "end": 745.64, "word": " باجي", "probability": 0.9749348958333334}, {"start": 745.64, "end": 746.2, "word": " بقوله", "probability": 0.9765625}, {"start": 746.2, "end": 746.66, "word": " Phi", "probability": 0.139892578125}, {"start": 746.66, "end": 747.32, "word": " is", "probability": 0.82763671875}, {"start": 747.32, "end": 748.98, "word": " homomorphism", "probability": 0.9651692708333334}, {"start": 748.98, "end": 749.36, "word": " هذا", "probability": 0.89208984375}, {"start": 749.36, "end": 749.54, "word": " اللي", "probability": 0.981689453125}, {"start": 749.54, "end": 749.76, "word": " بدي", "probability": 0.936279296875}, {"start": 749.76, "end": 749.98, "word": " أروح", "probability": 0.927734375}, {"start": 749.98, "end": 750.24, "word": " إيه", "probability": 0.74267578125}, {"start": 750.24, "end": 750.98, "word": " أثبته", "probability": 0.869140625}, {"start": 750.98, "end": 751.96, "word": " لذلك", "probability": 0.962890625}, {"start": 751.96, "end": 752.2, "word": " لو", "probability": 0.95654296875}, {"start": 752.2, "end": 752.58, "word": " روحت", "probability": 0.88330078125}, {"start": 752.58, "end": 753.26, "word": " أخد", "probability": 0.8824869791666666}, {"start": 753.26, "end": 753.94, "word": " Phi", "probability": 0.35498046875}, {"start": 753.94, "end": 754.42, "word": " of", "probability": 0.8447265625}, {"start": 754.42, "end": 755.14, "word": " G1", "probability": 0.869384765625}, {"start": 755.14, "end": 756.14, "word": " G2", "probability": 0.76123046875}], "temperature": 1.0}, {"id": 31, "seek": 78614, "start": 756.96, "end": 786.14, "text": "يبقى حسب التعريف اللي عندنا بيصير G1 G2 في N طيب ليش؟ لأنها normal لو ماكنتش normal اللي بصي كلامك مش صحيح يبقى هذا الكلام بده يساوي G1 N في G2 N السبب في ذلك since ال N is a normal subgroup من G", "tokens": [1829, 3555, 4587, 7578, 11331, 35457, 16712, 3615, 16572, 5172, 13672, 1829, 43242, 8315, 4724, 1829, 9381, 13546, 460, 16, 460, 17, 8978, 426, 23032, 1829, 3555, 32239, 8592, 22807, 5296, 33456, 11296, 2710, 45164, 19446, 19452, 2655, 8592, 2710, 13672, 1829, 4724, 9381, 1829, 28242, 10943, 4117, 37893, 20328, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 460, 16, 426, 8978, 460, 17, 426, 21136, 3555, 3555, 8978, 29910, 23275, 1670, 2423, 426, 307, 257, 2710, 1422, 17377, 9154, 460], "avg_logprob": -0.24811126046128326, "compression_ratio": 1.492537313432836, "no_speech_prob": 0.0, "words": [{"start": 756.96, "end": 757.38, "word": "يبقى", "probability": 0.7725830078125}, {"start": 757.38, "end": 757.84, "word": " حسب", "probability": 0.897705078125}, {"start": 757.84, "end": 758.52, "word": " التعريف", "probability": 0.9869384765625}, {"start": 758.52, "end": 758.72, "word": " اللي", "probability": 0.7646484375}, {"start": 758.72, "end": 759.08, "word": " عندنا", "probability": 0.938720703125}, {"start": 759.08, "end": 759.74, "word": " بيصير", "probability": 0.73822021484375}, {"start": 759.74, "end": 760.54, "word": " G1", "probability": 0.52294921875}, {"start": 760.54, "end": 761.92, "word": " G2", "probability": 0.6925048828125}, {"start": 761.92, "end": 762.28, "word": " في", "probability": 0.447998046875}, {"start": 762.28, "end": 762.68, "word": " N", "probability": 0.86767578125}, {"start": 762.68, "end": 765.58, "word": " طيب", "probability": 0.8181966145833334}, {"start": 765.58, "end": 766.58, "word": " ليش؟", "probability": 0.9041341145833334}, {"start": 766.58, "end": 768.24, "word": " لأنها", "probability": 0.8430989583333334}, {"start": 768.24, "end": 768.64, "word": " normal", "probability": 0.373046875}, {"start": 768.64, "end": 768.96, "word": " لو", "probability": 0.515625}, {"start": 768.96, "end": 769.5, "word": " ماكنتش", "probability": 0.82861328125}, {"start": 769.5, "end": 769.76, "word": " normal", "probability": 0.80126953125}, {"start": 769.76, "end": 769.92, "word": " اللي", "probability": 0.5826416015625}, {"start": 769.92, "end": 770.04, "word": " بصي", "probability": 0.7021484375}, {"start": 770.04, "end": 770.44, "word": " كلامك", "probability": 0.755615234375}, {"start": 770.44, "end": 770.6, "word": " مش", "probability": 0.98046875}, {"start": 770.6, "end": 771.18, "word": " صحيح", "probability": 0.9798583984375}, {"start": 771.18, "end": 772.22, "word": " يبقى", "probability": 0.9635009765625}, {"start": 772.22, "end": 772.62, "word": " هذا", "probability": 0.9619140625}, {"start": 772.62, "end": 773.22, "word": " الكلام", "probability": 0.9607747395833334}, {"start": 773.22, "end": 773.78, "word": " بده", "probability": 0.53338623046875}, {"start": 773.78, "end": 774.3, "word": " يساوي", "probability": 0.914794921875}, {"start": 774.3, "end": 775.72, "word": " G1", "probability": 0.948486328125}, {"start": 775.72, "end": 776.28, "word": " N", "probability": 0.4482421875}, {"start": 776.28, "end": 776.92, "word": " في", "probability": 0.87548828125}, {"start": 776.92, "end": 778.32, "word": " G2", "probability": 0.9921875}, {"start": 778.32, "end": 778.92, "word": " N", "probability": 0.91357421875}, {"start": 778.92, "end": 779.88, "word": " السبب", "probability": 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Phi of G1 وهذه Phi of G2 لذلك Phi Homomorphism نحسب الـ Kernel لهذا الـ Phi يبقى هو كل الـ X الموجودة في الـ Group G بحيث أن", "tokens": [3224, 24192, 39896, 2423, 39184, 12383, 5296, 39184, 41435, 295, 460, 16, 37037, 24192, 41435, 295, 460, 17, 5296, 8848, 23275, 41435, 20903, 32702, 1434, 8717, 5016, 35457, 2423, 39184, 40224, 338, 46740, 15730, 2423, 39184, 41435, 7251, 3555, 4587, 7578, 31439, 28242, 2423, 39184, 1783, 9673, 29245, 23328, 3660, 8978, 2423, 39184, 10500, 460, 4724, 5016, 1829, 12984, 14739], "avg_logprob": -0.34656761122531576, "compression_ratio": 1.3486842105263157, "no_speech_prob": 0.0, "words": [{"start": 786.96, "end": 787.64, "word": "هذه", "probability": 0.75830078125}, {"start": 787.64, "end": 787.88, "word": " هي", "probability": 0.398681640625}, {"start": 787.88, "end": 787.88, "word": " الـ", "probability": 0.248046875}, {"start": 787.88, "end": 788.3, "word": " Main", "probability": 0.17138671875}, {"start": 788.3, "end": 788.88, "word": " لـ", 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82, "seek": 205419, "start": 2035.11, "end": 2054.19, "text": "إن الـ Phi of أربعة تكييب لا تسوى Phi of أربعة لكل تكييب هذا يعني إن Phi of X بدى يسوى تلاتة X is not a homomorphism", "tokens": [28814, 1863, 2423, 39184, 41435, 295, 5551, 25513, 27884, 6055, 4117, 1829, 1829, 3555, 20193, 6055, 3794, 2407, 7578, 41435, 295, 5551, 25513, 27884, 5296, 28820, 6055, 4117, 1829, 1829, 3555, 23758, 37495, 22653, 36145, 41435, 295, 1783, 47525, 7578, 7251, 3794, 2407, 7578, 6055, 1211, 9307, 3660, 1783, 307, 406, 257, 3655, 32702, 1434], "avg_logprob": -0.26185826531478335, "compression_ratio": 1.3571428571428572, "no_speech_prob": 0.0, "words": [{"start": 2035.11, "end": 2035.61, "word": "إن", "probability": 0.61962890625}, {"start": 2035.61, "end": 2036.01, "word": " الـ", "probability": 0.6263427734375}, {"start": 2036.01, "end": 2036.33, "word": " Phi", "probability": 0.210693359375}, {"start": 2036.33, "end": 2036.83, "word": " of", "probability": 0.4931640625}, {"start": 2036.83, "end": 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اربعتاشر من الكتاب خدلي سؤال تاني سؤال خمسة وتلاتين سؤال خمسة وتلاتين بيقول prove that the mapping النقطة الأولى prove that", "tokens": [9566, 3555, 3615, 995, 7251, 3555, 4587, 7578, 23758, 25961, 8608, 33604, 6027, 1975, 25513, 34268, 33599, 2288, 9154, 33251, 2655, 16758, 16490, 3215, 20292, 8608, 33604, 6027, 6055, 7649, 1829, 8608, 33604, 6027, 16490, 2304, 3794, 3660, 34683, 1211, 9307, 9957, 8608, 33604, 6027, 16490, 2304, 3794, 3660, 34683, 1211, 9307, 9957, 4724, 1829, 39648, 7081, 300, 264, 18350, 28239, 47432, 3660, 16247, 12610, 7578, 7081, 300], "avg_logprob": -0.2048233721567237, "compression_ratio": 1.614864864864865, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2055.27, "end": 2055.85, "word": "طبعا", "probability": 0.82080078125}, {"start": 2055.85, "end": 2057.03, "word": " يبقى", "probability": 0.80999755859375}, {"start": 2057.03, "end": 2057.29, "word": " هذا", "probability": 0.85302734375}, {"start": 2057.29, "end": 2057.63, "word": " كان", 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Proof that the mapping Phi من Z external product لZ إلى Z given by", "tokens": [12681, 2670, 1705, 2670, 300, 264, 18350, 41435, 9154, 1176, 8320, 1674, 5296, 57, 30731, 1176, 2212, 538], "avg_logprob": -0.509868395955939, "compression_ratio": 0.9629629629629629, "no_speech_prob": 0.0, "words": [{"start": 2095.6499999999996, "end": 2097.0499999999997, "word": "Proof", "probability": 0.418701171875}, {"start": 2097.0499999999997, "end": 2098.45, "word": " Proof", "probability": 0.647705078125}, {"start": 2098.45, "end": 2098.65, "word": " that", "probability": 0.466552734375}, {"start": 2098.65, "end": 2098.87, "word": " the", "probability": 0.84033203125}, {"start": 2098.87, "end": 2099.49, "word": " mapping", "probability": 0.921875}, {"start": 2099.49, "end": 2100.89, "word": " Phi", "probability": 0.190185546875}, {"start": 2100.89, "end": 2102.55, "word": " من", "probability": 0.9189453125}, {"start": 2102.55, "end": 2103.83, "word": " Z", "probability": 0.517578125}, {"start": 2103.83, "end": 2104.99, "word": " external", "probability": 0.67041015625}, {"start": 2104.99, "end": 2105.97, "word": " product", "probability": 0.59033203125}, {"start": 2105.97, "end": 2107.65, "word": " لZ", "probability": 0.5986328125}, {"start": 2107.65, "end": 2108.81, "word": " إلى", "probability": 0.685546875}, {"start": 2108.81, "end": 2109.93, "word": " Z", "probability": 0.97119140625}, {"start": 2109.93, "end": 2111.23, "word": " given", "probability": 0.6669921875}, {"start": 2111.23, "end": 2112.19, "word": " by", "probability": 0.958984375}], "temperature": 1.0}, {"id": 85, "seek": 214277, "start": 2113.29, "end": 2142.77, "text": "والمعطاه بالتعريف التالي Phi of A وB بديساوي الـ A ناقص الـ B as a homomorphism النقطة الثانية النقطة الثانية Find ال kernel لـ Phi النقطة التالتة Describe", "tokens": [2407, 45340, 3615, 9566, 40294, 20666, 2655, 3615, 16572, 5172, 16712, 6027, 1829, 41435, 295, 316, 4032, 33, 4724, 16254, 3794, 995, 45865, 2423, 39184, 316, 8717, 995, 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"probability": 0.42977294921875}, {"start": 2120.71, "end": 2120.95, "word": " الـ", "probability": 0.5263671875}, {"start": 2120.95, "end": 2121.19, "word": " A", "probability": 0.525390625}, {"start": 2121.19, "end": 2122.07, "word": " ناقص", "probability": 0.8983154296875}, {"start": 2122.07, "end": 2122.37, "word": " الـ", "probability": 0.813232421875}, {"start": 2122.37, "end": 2122.79, "word": " B", "probability": 0.818359375}, {"start": 2122.79, "end": 2124.01, "word": " as", "probability": 0.388427734375}, {"start": 2124.01, "end": 2125.33, "word": " a", "probability": 0.900390625}, {"start": 2125.33, "end": 2127.11, "word": " homomorphism", "probability": 0.9363606770833334}, {"start": 2127.11, "end": 2128.57, "word": " النقطة", "probability": 0.9666341145833334}, {"start": 2128.57, "end": 2129.43, "word": " الثانية", "probability": 0.972412109375}, {"start": 2129.43, "end": 2132.81, "word": " النقطة", "probability": 0.8986002604166666}, {"start": 2132.81, "end": 2133.23, "word": " الثانية", "probability": 0.984619140625}, {"start": 2133.23, "end": 2133.95, "word": " Find", "probability": 0.3994140625}, {"start": 2133.95, "end": 2136.45, "word": " ال", "probability": 0.69775390625}, {"start": 2136.45, "end": 2136.97, "word": " kernel", "probability": 0.361572265625}, {"start": 2136.97, "end": 2137.43, "word": " لـ", "probability": 0.600830078125}, {"start": 2137.43, "end": 2137.87, "word": " Phi", "probability": 0.81787109375}, {"start": 2137.87, "end": 2139.69, "word": " النقطة", "probability": 0.986328125}, {"start": 2139.69, "end": 2140.97, "word": " التالتة", "probability": 0.94384765625}, {"start": 2140.97, "end": 2142.77, "word": " Describe", "probability": 0.868896484375}], "temperature": 1.0}, {"id": 86, "seek": 215682, "start": 2145.3, "end": 2156.82, "text": "describe the set اللي هو في انفرس من تلاتة", "tokens": [14792, 8056, 264, 992, 13672, 1829, 31439, 8978, 16472, 5172, 2288, 3794, 9154, 6055, 1211, 9307, 3660], "avg_logprob": -0.4687499966886308, "compression_ratio": 0.8985507246376812, "no_speech_prob": 0.0, "words": [{"start": 2145.2999999999997, "end": 2146.7, "word": "describe", "probability": 0.7127685546875}, {"start": 2146.7, "end": 2148.1, "word": " the", "probability": 0.7626953125}, {"start": 2148.1, "end": 2148.66, "word": " set", "probability": 0.97314453125}, {"start": 2148.66, "end": 2149.7, "word": " اللي", "probability": 0.44818115234375}, {"start": 2149.7, "end": 2150.34, "word": " هو", "probability": 0.7900390625}, {"start": 2150.34, "end": 2153.96, "word": " في", "probability": 0.2294921875}, {"start": 2153.96, "end": 2155.58, "word": " انفرس", "probability": 0.81591796875}, {"start": 2155.58, "end": 2155.98, "word": " من", "probability": 0.26806640625}, {"start": 2155.98, "end": 2156.82, "word": " تلاتة", "probability": 0.832763671875}], "temperature": 1.0}, {"id": 87, "seek": 221448, "start": 2198.41, "end": 2214.49, "text": "السؤال مرة تانية في عندنا function من z اكترين او like product مع z الى z موطع بالشكل التاليفي of a و b بده يسوى ال a ناقص ال b وهدي homomorphism بدنا نثبتها", "tokens": [6027, 3794, 33604, 6027, 3714, 25720, 6055, 7649, 10632, 8978, 43242, 8315, 2445, 9154, 710, 1975, 4117, 2655, 2288, 9957, 1975, 2407, 411, 1674, 20449, 710, 2423, 7578, 710, 3714, 2407, 9566, 3615, 20666, 8592, 28820, 16712, 6027, 33911, 1829, 295, 257, 4032, 272, 47525, 3224, 7251, 3794, 2407, 7578, 2423, 257, 8717, 995, 4587, 9381, 2423, 272, 37037, 16254, 3655, 32702, 1434, 47525, 8315, 8717, 12984, 3555, 2655, 11296], "avg_logprob": -0.3910651299315439, "compression_ratio": 1.4011627906976745, "no_speech_prob": 0.0, "words": [{"start": 2198.41, "end": 2198.85, "word": "السؤال", "probability": 0.78131103515625}, {"start": 2198.85, "end": 2199.15, "word": " مرة", "probability": 0.91748046875}, {"start": 2199.15, "end": 2199.85, "word": " تانية", "probability": 0.8395182291666666}, {"start": 2199.85, "end": 2200.67, "word": " في", "probability": 0.31640625}, {"start": 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2205.63, "end": 2206.43, "word": " موطع", "probability": 0.62628173828125}, {"start": 2206.43, "end": 2206.95, "word": " بالشكل", "probability": 0.8819986979166666}, {"start": 2206.95, "end": 2207.69, "word": " التاليفي", "probability": 0.717437744140625}, {"start": 2207.69, "end": 2207.91, "word": " of", "probability": 0.7705078125}, {"start": 2207.91, "end": 2208.15, "word": " a", "probability": 0.87451171875}, {"start": 2208.15, "end": 2208.29, "word": " و", "probability": 0.8076171875}, {"start": 2208.29, "end": 2208.51, "word": " b", "probability": 0.438232421875}, {"start": 2208.51, "end": 2208.89, "word": " بده", "probability": 0.3538818359375}, {"start": 2208.89, "end": 2209.27, "word": " يسوى", "probability": 0.76336669921875}, {"start": 2209.27, "end": 2209.39, "word": " ال", "probability": 0.66259765625}, {"start": 2209.39, "end": 2209.59, "word": " a", "probability": 0.8408203125}, {"start": 2209.59, "end": 2210.17, "word": " ناقص", "probability": 0.898193359375}, {"start": 2210.17, "end": 2210.35, "word": " ال", "probability": 0.970703125}, {"start": 2210.35, "end": 2210.65, "word": " b", "probability": 0.95458984375}, {"start": 2210.65, "end": 2211.65, "word": " وهدي", "probability": 0.4305419921875}, {"start": 2211.65, "end": 2213.19, "word": " homomorphism", "probability": 0.9134114583333334}, {"start": 2213.19, "end": 2213.73, "word": " بدنا", "probability": 0.90478515625}, {"start": 2213.73, "end": 2214.49, "word": " نثبتها", "probability": 0.978125}], "temperature": 1.0}, {"id": 88, "seek": 222817, "start": 2215.01, "end": 2228.17, "text": "بعد أن نثبت تهمورفازيا بنا نجيب لها ال kernel بعد ال kernel بنا نوصف مين هي ال 6 اللي عندنا هذه خلينا مع النقطة الأولى بجباجي للنقطة الأولى", "tokens": [3555, 22488, 14739, 8717, 12984, 3555, 2655, 6055, 16095, 13063, 5172, 31377, 25528, 4724, 8315, 8717, 7435, 1829, 3555, 5296, 11296, 2423, 28256, 39182, 2423, 28256, 4724, 8315, 8717, 2407, 9381, 5172, 3714, 9957, 39896, 2423, 1386, 13672, 1829, 43242, 8315, 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" kernel", "probability": 0.4169921875}, {"start": 2218.05, "end": 2218.79, "word": " بعد", "probability": 0.445068359375}, {"start": 2218.79, "end": 2219.01, "word": " ال", "probability": 0.72900390625}, {"start": 2219.01, "end": 2219.35, "word": " kernel", "probability": 0.833984375}, {"start": 2219.35, "end": 2219.69, "word": " بنا", "probability": 0.6253662109375}, {"start": 2219.69, "end": 2220.43, "word": " نوصف", "probability": 0.9825439453125}, {"start": 2220.43, "end": 2221.01, "word": " مين", "probability": 0.9091796875}, {"start": 2221.01, "end": 2221.31, "word": " هي", "probability": 0.6806640625}, {"start": 2221.31, "end": 2221.85, "word": " ال", "probability": 0.64697265625}, {"start": 2221.85, "end": 2222.13, "word": " 6", "probability": 0.35205078125}, {"start": 2222.13, "end": 2222.37, "word": " اللي", "probability": 0.8447265625}, {"start": 2222.37, "end": 2222.97, "word": " عندنا", "probability": 0.98779296875}, {"start": 2222.97, "end": 2223.51, "word": " هذه", 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