diff --git "a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/TxbkO72dNBs_raw.json" "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/TxbkO72dNBs_raw.json" new file mode 100644--- /dev/null +++ "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/TxbkO72dNBs_raw.json" @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 4549, "start": 22.35, "end": 45.49, "text": "بنكمل برهانة اللمة اللى ابتدأنا فيه المحاضرة الماضية طبعا اللمة هذه عبارة عن ثمانى نقاط برهانة منها اللى هو خمس نقاط بنجي الأن لنقطة السادسة النقطة رقم ستة بيقوللي ان ال order لل A H يساوي ال order لل B H", "tokens": [3555, 1863, 24793, 1211, 4724, 2288, 3224, 7649, 3660, 13672, 46007, 13672, 7578, 48127, 2655, 3215, 10721, 8315, 8978, 3224, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 23032, 3555, 3615, 995, 13672, 46007, 29538, 6225, 3555, 9640, 3660, 18871, 38637, 2304, 7649, 7578, 8717, 4587, 41193, 4724, 2288, 3224, 7649, 3660, 9154, 11296, 13672, 7578, 31439, 16490, 2304, 3794, 8717, 4587, 41193, 44945, 7435, 1829, 16247, 1863, 5296, 1863, 47432, 3660, 21136, 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111.95, "end": 118.15, "text": "فاي من ال A H الى ال B H باي", "tokens": [5172, 47302, 9154, 2423, 316, 389, 2423, 7578, 2423, 363, 389, 4724, 47302], "avg_logprob": -0.49637279340199064, "compression_ratio": 1.1025641025641026, "no_speech_prob": 0.0, "words": [{"start": 111.94999999999999, "end": 113.21, "word": "فاي", "probability": 0.3023681640625}, {"start": 113.21, "end": 113.93, "word": " من", "probability": 0.89453125}, {"start": 113.93, "end": 114.59, "word": " ال", "probability": 0.93798828125}, {"start": 114.59, "end": 114.99, "word": " A", "probability": 0.1785888671875}, {"start": 114.99, "end": 115.69, "word": " H", "probability": 0.8271484375}, {"start": 115.69, "end": 116.29, "word": " الى", "probability": 0.6016845703125}, {"start": 116.29, "end": 116.49, "word": " ال", "probability": 0.91552734375}, {"start": 116.49, "end": 116.85, "word": " B", "probability": 0.90185546875}, {"start": 116.85, "end": 117.55, "word": " H", "probability": 0.9033203125}, {"start": 117.55, 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348.89, "end": 349.33, "word": " الوضع", "probability": 0.650390625}, {"start": 349.33, "end": 350.09, "word": " سيكون", "probability": 0.6241048177083334}, {"start": 350.09, "end": 350.25, "word": " في", "probability": 0.70947265625}, {"start": 350.25, "end": 351.03, "word": " اتجاهين", "probability": 0.90439453125}, {"start": 351.03, "end": 351.29, "word": " لكن", "probability": 0.55419921875}, {"start": 351.29, "end": 351.77, "word": " ممكن", "probability": 0.68212890625}, {"start": 351.77, "end": 352.21, "word": " نجيب", "probability": 0.7662353515625}, {"start": 352.21, "end": 353.05, "word": " الاتجاهين", "probability": 0.9416015625}, {"start": 353.05, "end": 353.21, "word": " مع", "probability": 0.94384765625}, {"start": 353.21, "end": 353.59, "word": " بعض", "probability": 0.992431640625}, {"start": 353.59, "end": 354.49, "word": " مرتين", "probability": 0.6944986979166666}, {"start": 354.49, "end": 355.35, "word": " واحدة", "probability": 0.9484049479166666}, {"start": 355.35, "end": 356.35, "word": " الان", "probability": 0.676025390625}, {"start": 356.35, "end": 356.57, "word": " اذا", "probability": 0.5133056640625}, {"start": 356.57, "end": 356.71, "word": " كنت", "probability": 0.776611328125}, {"start": 356.71, "end": 356.99, "word": " قاعد", "probability": 0.6572265625}, {"start": 356.99, "end": 357.55, "word": " اقول", "probability": 0.74853515625}, {"start": 357.55, "end": 357.81, "word": " له", "probability": 0.27001953125}, {"start": 357.81, "end": 358.35, "word": " ايه", "probability": 0.452392578125}, {"start": 358.35, "end": 358.77, "word": " اتش", "probability": 0.6603190104166666}, {"start": 358.77, "end": 359.67, "word": " سيكون", "probability": 0.6695149739583334}, {"start": 359.67, "end": 360.53, "word": " اتش", "probability": 0.6929524739583334}, {"start": 360.53, "end": 361.03, "word": " ايه", "probability": 0.9169921875}, {"start": 361.03, "end": 361.47, "word": " اف", "probability": 0.577880859375}, {"start": 361.47, "end": 361.99, 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ال", "probability": 0.7919921875}, {"start": 407.08, "end": 407.44, "word": " A", "probability": 0.88720703125}, {"start": 407.44, "end": 408.36, "word": " inverse", "probability": 0.73193359375}, {"start": 408.36, "end": 409.34, "word": " بالشكل", "probability": 0.92919921875}, {"start": 409.34, "end": 409.52, "word": " اللي", "probability": 0.948486328125}, {"start": 409.52, "end": 409.94, "word": " عندنا", "probability": 0.84326171875}, {"start": 409.94, "end": 410.24, "word": " هنا", "probability": 0.78857421875}, {"start": 410.24, "end": 410.98, "word": " طب", "probability": 0.594970703125}, {"start": 410.98, "end": 411.54, "word": " الكلام", "probability": 0.8992513020833334}, {"start": 411.54, "end": 411.92, "word": " هذا", "probability": 0.9375}, {"start": 411.92, "end": 412.76, "word": " صحيح", "probability": 0.99267578125}, {"start": 412.76, "end": 413.26, "word": " if", "probability": 0.66650390625}, {"start": 413.26, "end": 413.82, "word": " and", "probability": 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0.3173828125}, {"start": 434.73, "end": 435.09, "word": " f", "probability": 0.37060546875}, {"start": 435.09, "end": 435.45, "word": " and", "probability": 0.449951171875}, {"start": 435.45, "end": 438.21, "word": " only", "probability": 0.796875}, {"start": 438.21, "end": 438.73, "word": " f", "probability": 0.71044921875}, {"start": 438.73, "end": 439.67, "word": " a", "probability": 0.3212890625}, {"start": 439.67, "end": 440.27, "word": " h", "probability": 0.83935546875}, {"start": 440.27, "end": 440.91, "word": " a", "probability": 0.66064453125}, {"start": 440.91, "end": 441.73, "word": " inverse", "probability": 0.8583984375}, {"start": 441.73, "end": 442.57, "word": " بده", "probability": 0.248046875}, {"start": 442.57, "end": 443.09, "word": " يساوي", "probability": 0.880615234375}, {"start": 443.09, "end": 443.45, "word": " من", "probability": 0.734375}, {"start": 443.45, "end": 444.09, "word": " itself", "probability": 0.51708984375}, {"start": 444.09, "end": 445.09, 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"probability": 0.9248046875}, {"start": 449.09, "end": 449.79, "word": " اللي", "probability": 0.96435546875}, {"start": 449.79, "end": 450.11, "word": " هو", "probability": 0.9921875}, {"start": 450.11, "end": 450.51, "word": " هو", "probability": 0.45703125}, {"start": 450.51, "end": 451.93, "word": " المطلوب", "probability": 0.9573974609375}], "temperature": 1.0}, {"id": 21, "seek": 47536, "start": 452.7, "end": 475.36, "text": "النقطة الأخيرة اللي هي النقطة الثامنة بتقول .. بتقول ان ال A H is a subgroup من G if and only if ال A belongs to main if and only if ال A belongs لمين ل ال H طيب تمام", "tokens": [6027, 1863, 47432, 3660, 16247, 9778, 48923, 13672, 1829, 39896, 28239, 47432, 3660, 6024, 104, 10943, 1863, 3660, 39894, 39648, 4386, 39894, 39648, 16472, 2423, 316, 389, 307, 257, 1422, 17377, 9154, 460, 498, 293, 787, 498, 2423, 316, 12953, 281, 2135, 498, 293, 787, 498, 2423, 316, 12953, 5296, 2304, 9957, 5296, 2423, 389, 23032, 1829, 3555, 46811, 10943], "avg_logprob": 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"end": 460.52, "word": " A", "probability": 0.306640625}, {"start": 460.52, "end": 461.08, "word": " H", "probability": 0.71044921875}, {"start": 461.08, "end": 461.54, "word": " is", "probability": 0.8447265625}, {"start": 461.54, "end": 461.9, "word": " a", "probability": 0.96923828125}, {"start": 461.9, "end": 462.96, "word": " subgroup", "probability": 0.819580078125}, {"start": 462.96, "end": 463.44, "word": " من", "probability": 0.79296875}, {"start": 463.44, "end": 463.98, "word": " G", "probability": 0.83544921875}, {"start": 463.98, "end": 464.9, "word": " if", "probability": 0.9150390625}, {"start": 464.9, "end": 465.3, "word": " and", "probability": 0.96337890625}, {"start": 465.3, "end": 465.78, "word": " only", "probability": 0.92333984375}, {"start": 465.78, "end": 466.48, "word": " if", "probability": 0.96923828125}, {"start": 466.48, "end": 467.26, "word": " ال", "probability": 0.87060546875}, {"start": 467.26, "end": 467.72, "word": " A", "probability": 0.93017578125}, {"start": 467.72, "end": 468.38, "word": " belongs", "probability": 0.69921875}, {"start": 468.38, "end": 468.68, "word": " to", "probability": 0.91357421875}, {"start": 468.68, "end": 469.04, "word": " main", "probability": 0.71923828125}, {"start": 469.04, "end": 469.42, "word": " if", "probability": 0.56689453125}, {"start": 469.42, "end": 469.7, "word": " and", "probability": 0.96484375}, {"start": 469.7, "end": 469.98, "word": " only", "probability": 0.90283203125}, {"start": 469.98, "end": 470.32, "word": " if", "probability": 0.9755859375}, {"start": 470.32, "end": 470.54, "word": " ال", "probability": 0.92578125}, {"start": 470.54, "end": 470.94, "word": " A", "probability": 0.97509765625}, {"start": 470.94, "end": 471.98, "word": " belongs", "probability": 0.6689453125}, {"start": 471.98, "end": 472.78, "word": " لمين", "probability": 0.62060546875}, {"start": 472.78, "end": 473.26, "word": " ل", "probability": 0.397216796875}, {"start": 473.26, "end": 473.84, "word": " ال", "probability": 0.62939453125}, {"start": 473.84, "end": 474.2, "word": " H", "probability": 0.98974609375}, {"start": 474.2, "end": 474.94, "word": " طيب", "probability": 0.700439453125}, {"start": 474.94, "end": 475.36, "word": " تمام", "probability": 0.960205078125}], "temperature": 1.0}, {"id": 22, "seek": 49508, "start": 479.78, "end": 495.08, "text": "المرة السابقة قلنا ان الـ left cosets قد تكون subgroup و قد لا تكون subgroup تمام؟ لكن in general ماهياش subgroup هنا بحطلي ال chart ايش اللي يخلي ال left coset subgroup", "tokens": [45340, 25720, 21136, 16758, 28671, 12174, 1211, 8315, 16472, 2423, 39184, 1411, 3792, 1385, 12174, 3215, 6055, 30544, 1422, 17377, 4032, 12174, 3215, 20193, 6055, 30544, 1422, 17377, 46811, 10943, 22807, 44381, 294, 2674, 19446, 3224, 1829, 33599, 1422, 17377, 34105, 4724, 5016, 9566, 20292, 2423, 6927, 1975, 1829, 8592, 13672, 1829, 7251, 9778, 20292, 2423, 1411, 3792, 302, 1422, 17377], "avg_logprob": -0.3704637005444496, "compression_ratio": 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"word": " قد", "probability": 0.793701171875}, {"start": 485.08, "end": 485.3, "word": " لا", "probability": 0.80322265625}, {"start": 485.3, "end": 485.76, "word": " تكون", "probability": 0.97802734375}, {"start": 485.76, "end": 486.48, "word": " subgroup", "probability": 0.906005859375}, {"start": 486.48, "end": 487.5, "word": " تمام؟", "probability": 0.6057942708333334}, {"start": 487.5, "end": 487.86, "word": " لكن", "probability": 0.9326171875}, {"start": 487.86, "end": 488.1, "word": " in", "probability": 0.205322265625}, {"start": 488.1, "end": 488.62, "word": " general", "probability": 0.9228515625}, {"start": 488.62, "end": 489.42, "word": " ماهياش", "probability": 0.9111328125}, {"start": 489.42, "end": 490.12, "word": " subgroup", "probability": 0.96484375}, {"start": 490.12, "end": 490.74, "word": " هنا", "probability": 0.83056640625}, {"start": 490.74, "end": 491.42, "word": " بحطلي", "probability": 0.67864990234375}, {"start": 491.42, "end": 491.6, "word": " ال", "probability": 0.42822265625}, {"start": 491.6, "end": 491.98, "word": " chart", "probability": 0.7822265625}, {"start": 491.98, "end": 492.76, "word": " ايش", "probability": 0.7841796875}, {"start": 492.76, "end": 492.94, "word": " اللي", "probability": 0.930908203125}, {"start": 492.94, "end": 493.32, "word": " يخلي", "probability": 0.7425130208333334}, {"start": 493.32, "end": 493.46, "word": " ال", "probability": 0.8642578125}, {"start": 493.46, "end": 493.68, "word": " left", "probability": 0.8427734375}, {"start": 493.68, "end": 494.28, "word": " coset", "probability": 0.902099609375}, {"start": 494.28, "end": 495.08, "word": " subgroup", "probability": 0.95654296875}], "temperature": 1.0}, {"id": 23, "seek": 52479, "start": 495.4, "end": 524.8, "text": "هو ان ضربها في عنصر من عناصر من من عناصر H itself يبقى ال A H عبارة عن subgroup من G إذا كان ال A اللي ضربته هذي من H نفسها وليس وليس من خارجها يبقى الآن بدأجي أقوله assume that افترض ان ال A H is a subgroup من G", "tokens": 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that", "probability": 0.8544921875}, {"start": 519.1, "end": 520.0, "word": " افترض", "probability": 0.9644775390625}, {"start": 520.0, "end": 520.48, "word": " ان", "probability": 0.72265625}, {"start": 520.48, "end": 521.24, "word": " ال", "probability": 0.81884765625}, {"start": 521.24, "end": 521.68, "word": " A", "probability": 0.97607421875}, {"start": 521.68, "end": 522.22, "word": " H", "probability": 0.97998046875}, {"start": 522.22, "end": 522.68, "word": " is", "probability": 0.93505859375}, {"start": 522.68, "end": 523.04, "word": " a", "probability": 0.9482421875}, {"start": 523.04, "end": 523.92, "word": " subgroup", "probability": 0.943359375}, {"start": 523.92, "end": 524.66, "word": " من", "probability": 0.9912109375}, {"start": 524.66, "end": 524.8, "word": " G", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 24, "seek": 55470, "start": 525.38, "end": 554.7, "text": "بنحاول نثبت ان الـA موجود في الـH وهذا هو الاتجاه الأول طيب تمام السؤال هو هل يا شباب هذه تحتوي على ال identity element؟ ليش؟ لأنها subgroup يبقى باجي بقوله الـE موجودة في الـH since الـH is a subgroup من G تمام؟", "tokens": [3555, 1863, 5016, 995, 12610, 8717, 12984, 3555, 2655, 16472, 2423, 39184, 32, 3714, 29245, 23328, 8978, 2423, 39184, 39, 37037, 15730, 31439, 2423, 9307, 7435, 40294, 16247, 12610, 23032, 1829, 3555, 46811, 10943, 21136, 33604, 6027, 31439, 8032, 1211, 35186, 13412, 3555, 16758, 29538, 6055, 33753, 45865, 15844, 2423, 6575, 4478, 22807, 32239, 8592, 22807, 5296, 33456, 11296, 1422, 17377, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 2423, 39184, 36, 3714, 29245, 23328, 3660, 8978, 2423, 39184, 39, 1670, 2423, 39184, 39, 307, 257, 1422, 17377, 9154, 460, 46811, 10943, 22807], "avg_logprob": -0.1923828129656613, "compression_ratio": 1.6018957345971565, "no_speech_prob": 0.0, "words": [{"start": 525.38, "end": 526.42, "word": "بنحاول", "probability": 0.804443359375}, {"start": 526.42, "end": 527.2, "word": " نثبت", "probability": 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{"start": 695.52, "end": 695.68, "word": " a", "probability": 0.9501953125}, {"start": 695.68, "end": 696.34, "word": " belongs", "probability": 0.5673828125}, {"start": 696.34, "end": 696.6, "word": " to", "probability": 0.97509765625}, {"start": 696.6, "end": 696.94, "word": " h", "probability": 0.92724609375}, {"start": 696.94, "end": 697.58, "word": " طب", "probability": 0.85400390625}, {"start": 697.58, "end": 697.8, "word": " احنا", "probability": 0.9490559895833334}, {"start": 697.8, "end": 698.26, "word": " فرضين", "probability": 0.9820963541666666}, {"start": 698.26, "end": 698.42, "word": " ال", "probability": 0.89501953125}, {"start": 698.42, "end": 698.58, "word": " a", "probability": 0.986328125}, {"start": 698.58, "end": 698.9, "word": " belongs", "probability": 0.51025390625}, {"start": 698.9, "end": 699.06, "word": " to", "probability": 0.97216796875}, {"start": 699.06, "end": 699.24, "word": " h", "probability": 0.9677734375}, {"start": 699.24, "end": 699.56, "word": " بجه", "probability": 0.636474609375}, {"start": 699.56, "end": 699.9, "word": " اتنين", "probability": 0.91064453125}, {"start": 699.9, "end": 700.42, "word": " هدول", "probability": 0.9249674479166666}, {"start": 700.42, "end": 701.12, "word": " بيسووا", "probability": 0.88984375}, {"start": 701.12, "end": 701.56, "word": " بعض", "probability": 0.986572265625}, {"start": 701.56, "end": 702.24, "word": " تماما", "probability": 0.99462890625}, {"start": 702.24, "end": 703.06, "word": " طب", "probability": 0.869140625}, {"start": 703.06, "end": 703.38, "word": " هدى", "probability": 0.5923665364583334}, {"start": 703.38, "end": 703.96, "word": " subgroup", "probability": 0.8095703125}, {"start": 703.96, "end": 704.22, "word": " ولا", "probability": 0.9365234375}, {"start": 704.22, "end": 704.9, "word": " لأ", "probability": 0.866943359375}, {"start": 704.9, "end": 705.94, "word": " اذا", "probability": 0.67724609375}, {"start": 705.94, "end": 706.42, "word": " هدى", "probability": 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"word": " subgroup", "probability": 0.96484375}, {"start": 719.12, "end": 721.42, "word": " من", "probability": 0.97900390625}, {"start": 721.42, "end": 721.68, "word": " g", "probability": 0.97216796875}], "temperature": 1.0}, {"id": 33, "seek": 74188, "start": 722.54, "end": 741.88, "text": "على هيك بيكون برهنة النقاط الثماني لهذه اللملة وهي علاقة ال co sets مع بعضها أو مع بعضهم البعض طيب في عندي ملاحظة هنا منحب نشير اليها ال remark بتقول ما يأتي", "tokens": [3615, 23942, 39896, 4117, 4724, 1829, 30544, 4724, 2288, 3224, 1863, 3660, 28239, 4587, 41193, 6024, 104, 2304, 7649, 1829, 46740, 24192, 13672, 2304, 37977, 37037, 1829, 11203, 995, 28671, 2423, 598, 6352, 20449, 45030, 11242, 11296, 34051, 20449, 45030, 11242, 16095, 29739, 3615, 11242, 23032, 1829, 3555, 8978, 18871, 16254, 3714, 15040, 5016, 19913, 3660, 34105, 9154, 5016, 3555, 8717, 8592, 13546, 45595, 11296, 2423, 7942, 39894, 39648, 19446, 7251, 10721, 31371], "avg_logprob": -0.26499154277749964, "compression_ratio": 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"temperature": 1.0}, {"id": 37, "seek": 85806, "start": 832.64, "end": 858.06, "text": "المصفوفة اللي تلاتة zero واحد اتنين لو ضربتها فيه H is the set of all two by two matrices with determinant", "tokens": [45340, 9381, 5172, 38688, 3660, 13672, 1829, 6055, 1211, 9307, 3660, 4018, 36764, 24401, 1975, 2655, 1863, 9957, 45164, 48812, 25513, 2655, 11296, 8978, 3224, 389, 307, 264, 992, 295, 439, 732, 538, 732, 32284, 365, 41296], "avg_logprob": -0.17454769579987778, "compression_ratio": 1.1171875, "no_speech_prob": 0.0, "words": [{"start": 832.64, "end": 834.04, "word": "المصفوفة", "probability": 0.87392578125}, {"start": 834.04, "end": 834.8, "word": " اللي", "probability": 0.5823974609375}, {"start": 834.8, "end": 835.74, "word": " تلاتة", "probability": 0.834716796875}, {"start": 835.74, "end": 836.56, "word": " zero", "probability": 0.243896484375}, {"start": 836.56, "end": 837.68, "word": " واحد", "probability": 0.92919921875}, {"start": 837.68, "end": 838.76, "word": " اتنين", 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"word": " قلي", "probability": 0.37127685546875}, {"start": 888.34, "end": 888.58, "word": " بلا", "probability": 0.5633544921875}, {"start": 888.58, "end": 888.98, "word": " كده", "probability": 0.8893229166666666}, {"start": 888.98, "end": 889.98, "word": " ال", "probability": 0.89892578125}, {"start": 889.98, "end": 890.3, "word": " remark", "probability": 0.9658203125}, {"start": 890.3, "end": 890.76, "word": " بتقول", "probability": 0.972412109375}, {"start": 890.76, "end": 890.98, "word": " ما", "probability": 0.95263671875}, {"start": 890.98, "end": 891.42, "word": " يأتي", "probability": 0.9142252604166666}], "temperature": 1.0}, {"id": 39, "seek": 91271, "start": 892.13, "end": 912.71, "text": "لو كانت الـ subgroup هي الـ special linear group ملي جروب اللي هو ال general linear group of two by two matrices over R طبعا هذه كل المصوفات اللي determinant لها لا يساوي zero هذه كل المصوفات اللي determinant لها لا يساوي مين واحد صحيح", "tokens": [1211, 2407, 25961, 2655, 2423, 39184, 1422, 17377, 39896, 2423, 39184, 2121, 8213, 1594, 3714, 20292, 10874, 32887, 3555, 13672, 1829, 31439, 2423, 2674, 8213, 1594, 295, 732, 538, 732, 32284, 670, 497, 23032, 3555, 3615, 995, 29538, 28242, 9673, 9381, 38688, 9307, 13672, 1829, 41296, 5296, 11296, 20193, 7251, 3794, 995, 45865, 4018, 29538, 28242, 9673, 9381, 38688, 9307, 13672, 1829, 41296, 5296, 11296, 20193, 7251, 3794, 995, 45865, 3714, 9957, 36764, 24401, 20328, 5016, 1829, 5016], "avg_logprob": -0.2630538102946704, "compression_ratio": 1.7619047619047619, "no_speech_prob": 0.0, "words": [{"start": 892.13, "end": 892.49, "word": "لو", "probability": 0.6695556640625}, {"start": 892.49, "end": 892.99, "word": " كانت", "probability": 0.9462890625}, {"start": 892.99, "end": 893.23, "word": " الـ", "probability": 0.609130859375}, {"start": 893.23, "end": 893.75, "word": " subgroup", "probability": 0.632568359375}, {"start": 893.75, "end": 894.03, "word": " هي", "probability": 0.83349609375}, {"start": 894.03, "end": 894.33, "word": " الـ", "probability": 0.765380859375}, {"start": 894.33, "end": 894.69, "word": " special", "probability": 0.6484375}, {"start": 894.69, "end": 895.17, "word": " linear", "probability": 0.84130859375}, {"start": 895.17, "end": 895.69, "word": " group", "probability": 0.982421875}, {"start": 895.69, "end": 896.17, "word": " ملي", "probability": 0.46368408203125}, {"start": 896.17, "end": 896.81, "word": " جروب", "probability": 0.77978515625}, {"start": 896.81, "end": 897.33, "word": " اللي", "probability": 0.876708984375}, {"start": 897.33, "end": 897.47, "word": " هو", "probability": 0.98974609375}, {"start": 897.47, "end": 897.63, "word": " ال", "probability": 0.953125}, {"start": 897.63, "end": 898.09, "word": " general", "probability": 0.505859375}, {"start": 898.09, "end": 898.59, "word": " linear", "probability": 0.81494140625}, {"start": 898.59, "end": 899.05, "word": " group", "probability": 0.97412109375}, {"start": 899.05, "end": 899.27, "word": " of", "probability": 0.89697265625}, {"start": 899.27, "end": 899.49, "word": " two", "probability": 0.6513671875}, {"start": 899.49, "end": 899.69, "word": " by", "probability": 0.9091796875}, {"start": 899.69, "end": 899.95, "word": " two", "probability": 0.947265625}, {"start": 899.95, "end": 900.59, "word": " matrices", "probability": 0.94873046875}, {"start": 900.59, "end": 901.09, "word": " over", "probability": 0.85595703125}, {"start": 901.09, "end": 901.39, "word": " R", "probability": 0.9580078125}, {"start": 901.39, "end": 902.35, "word": " طبعا", "probability": 0.92333984375}, {"start": 902.35, "end": 902.77, "word": " هذه", "probability": 0.7451171875}, {"start": 902.77, "end": 903.23, "word": " كل", "probability": 0.94140625}, {"start": 903.23, "end": 904.47, "word": " المصوفات", "probability": 0.80609130859375}, {"start": 904.47, "end": 905.09, "word": " اللي", "probability": 0.72412109375}, {"start": 905.09, "end": 905.53, "word": " determinant", "probability": 0.4365234375}, {"start": 905.53, "end": 906.19, "word": " لها", "probability": 0.781982421875}, {"start": 906.19, "end": 906.37, "word": " لا", "probability": 0.57861328125}, {"start": 906.37, "end": 906.89, "word": " يساوي", "probability": 0.77880859375}, {"start": 906.89, "end": 907.25, "word": " zero", "probability": 0.2939453125}, {"start": 907.25, "end": 908.01, "word": " هذه", "probability": 0.82470703125}, {"start": 908.01, "end": 908.43, "word": " كل", "probability": 0.95068359375}, {"start": 908.43, "end": 909.41, "word": " المصوفات", "probability": 0.969482421875}, {"start": 909.41, "end": 909.65, "word": " اللي", "probability": 0.95458984375}, {"start": 909.65, "end": 910.19, "word": " determinant", "probability": 0.744140625}, {"start": 910.19, "end": 910.65, "word": " لها", "probability": 0.9580078125}, {"start": 910.65, "end": 910.77, "word": " لا", "probability": 0.71435546875}, {"start": 910.77, "end": 911.19, "word": " يساوي", "probability": 0.9132080078125}, {"start": 911.19, "end": 911.53, "word": " مين", "probability": 0.50152587890625}, {"start": 911.53, "end": 912.19, "word": " واحد", "probability": 0.76123046875}, {"start": 912.19, "end": 912.71, "word": " صحيح", "probability": 0.9681396484375}], "temperature": 1.0}, {"id": 40, "seek": 93077, "start": 913.27, "end": 930.77, "text": "بقول لأي matrix A في ال group اللي عندنا هذه the coset of H أنا أخدت A من وين؟ من ال general ضربت في من؟ في H لل special linear group of two by two matrices overall", "tokens": [3555, 39648, 5296, 10721, 1829, 8141, 316, 8978, 2423, 1594, 13672, 1829, 43242, 8315, 29538, 264, 3792, 302, 295, 389, 41850, 5551, 9778, 3215, 2655, 316, 9154, 4032, 9957, 22807, 9154, 2423, 2674, 48812, 25513, 2655, 8978, 9154, 22807, 8978, 389, 24976, 2121, 8213, 1594, 295, 732, 538, 732, 32284, 4787], "avg_logprob": -0.41887020205075925, "compression_ratio": 1.3151515151515152, "no_speech_prob": 0.0, "words": [{"start": 913.27, "end": 913.67, "word": "بقول", "probability": 0.4052734375}, {"start": 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H", "probability": 0.5556640625}, {"start": 920.29, "end": 920.77, "word": " أنا", "probability": 0.24853515625}, {"start": 920.77, "end": 921.39, "word": " أخدت", "probability": 0.853271484375}, {"start": 921.39, "end": 921.53, "word": " A", "probability": 0.5771484375}, {"start": 921.53, "end": 921.73, "word": " من", "probability": 0.974609375}, {"start": 921.73, "end": 922.75, "word": " وين؟", "probability": 0.6217447916666666}, {"start": 922.75, "end": 923.01, "word": " من", "probability": 0.97265625}, {"start": 923.01, "end": 923.27, "word": " ال", "probability": 0.92431640625}, {"start": 923.27, "end": 923.97, "word": " general", "probability": 0.80029296875}, {"start": 923.97, "end": 925.13, "word": " ضربت", "probability": 0.8172200520833334}, {"start": 925.13, "end": 925.31, "word": " في", "probability": 0.8232421875}, {"start": 925.31, "end": 926.27, "word": " من؟", "probability": 0.743408203125}, {"start": 926.27, "end": 926.53, "word": " في", "probability": 0.7744140625}, {"start": 926.53, "end": 927.01, "word": " H", "probability": 0.84326171875}, {"start": 927.01, "end": 927.35, "word": " لل", "probability": 0.70654296875}, {"start": 927.35, "end": 928.01, "word": " special", "probability": 0.86328125}, {"start": 928.01, "end": 928.53, "word": " linear", "probability": 0.66357421875}, {"start": 928.53, "end": 928.93, "word": " group", "probability": 0.9677734375}, {"start": 928.93, "end": 929.15, "word": " of", "probability": 0.91357421875}, {"start": 929.15, "end": 929.37, "word": " two", "probability": 0.587890625}, {"start": 929.37, "end": 929.53, "word": " by", "probability": 0.89794921875}, {"start": 929.53, "end": 929.73, "word": " two", "probability": 0.94091796875}, {"start": 929.73, "end": 930.21, "word": " matrices", "probability": 0.9580078125}, {"start": 930.21, "end": 930.77, "word": " overall", "probability": 0.77880859375}], "temperature": 1.0}, {"id": 41, "seek": 95593, "start": 931.09, "end": 955.93, "text": "بقول الـAH هذه كل مصحوفة فيها المحدد تبعها يسوى المحدد تبع المصحوفة ايه بالضبط تماما، ليش؟ لإن هذه المصحوفة كل matrix فيها المحدد دي لها بجداش يبقى لما تجيب ال determinant لأي ألمصير ال determinant لإيه في ال determinant", "tokens": [3555, 39648, 2423, 39184, 10566, 29538, 28242, 3714, 9381, 5016, 38688, 3660, 8978, 11296, 9673, 24401, 3215, 6055, 3555, 3615, 11296, 7251, 3794, 2407, 7578, 9673, 24401, 3215, 6055, 3555, 3615, 9673, 9381, 5016, 38688, 3660, 1975, 1829, 3224, 20666, 11242, 3555, 9566, 46811, 10943, 995, 12399, 32239, 8592, 22807, 5296, 28814, 1863, 29538, 9673, 9381, 5016, 38688, 3660, 28242, 8141, 8978, 11296, 9673, 24401, 3215, 11778, 1829, 5296, 11296, 4724, 7435, 3215, 33599, 7251, 3555, 4587, 7578, 5296, 15042, 6055, 7435, 1829, 3555, 2423, 41296, 5296, 10721, 1829, 5551, 19528, 9381, 13546, 2423, 41296, 5296, 28814, 1829, 3224, 8978, 2423, 41296], "avg_logprob": -0.28246359107563795, "compression_ratio": 1.9, "no_speech_prob": 0.0, "words": [{"start": 931.09, "end": 931.77, "word": "بقول", 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"probability": 0.7865397135416666}, {"start": 940.47, "end": 941.03, "word": " بالضبط", "probability": 0.8760986328125}, {"start": 941.03, "end": 942.11, "word": " تماما،", "probability": 0.7587890625}, {"start": 942.11, "end": 943.27, "word": " ليش؟", "probability": 0.90087890625}, {"start": 943.27, "end": 943.87, "word": " لإن", "probability": 0.7874348958333334}, {"start": 943.87, "end": 944.81, "word": " هذه", "probability": 0.7900390625}, {"start": 944.81, "end": 945.59, "word": " المصحوفة", "probability": 0.982421875}, {"start": 945.59, "end": 946.21, "word": " كل", "probability": 0.88720703125}, {"start": 946.21, "end": 947.79, "word": " matrix", "probability": 0.396240234375}, {"start": 947.79, "end": 948.25, "word": " فيها", "probability": 0.9326171875}, {"start": 948.25, "end": 948.75, "word": " المحدد", "probability": 0.9612630208333334}, {"start": 948.75, "end": 948.87, "word": " دي", "probability": 0.753173828125}, {"start": 948.87, "end": 949.01, "word": " لها", "probability": 0.77880859375}, {"start": 949.01, "end": 949.65, "word": " بجداش", "probability": 0.69293212890625}, {"start": 949.65, "end": 950.61, "word": " يبقى", "probability": 0.81878662109375}, {"start": 950.61, "end": 950.85, "word": " لما", "probability": 0.5218505859375}, {"start": 950.85, "end": 951.25, "word": " تجيب", "probability": 0.8861083984375}, {"start": 951.25, "end": 951.33, "word": " ال", "probability": 0.80419921875}, {"start": 951.33, "end": 952.09, "word": " determinant", "probability": 0.912109375}, {"start": 952.09, "end": 952.83, "word": " لأي", "probability": 0.9270833333333334}, {"start": 952.83, "end": 953.45, "word": " ألمصير", "probability": 0.661590576171875}, {"start": 953.45, "end": 953.59, "word": " ال", "probability": 0.703125}, {"start": 953.59, "end": 954.17, "word": " determinant", "probability": 0.68896484375}, {"start": 954.17, "end": 955.07, "word": " لإيه", "probability": 0.80029296875}, {"start": 955.07, "end": 955.23, "word": " في", "probability": 0.3984375}, {"start": 955.23, "end": 955.33, "word": " ال", "probability": 0.861328125}, {"start": 955.33, "end": 955.93, "word": " determinant", "probability": 0.87939453125}], "temperature": 1.0}, {"id": 42, "seek": 96906, "start": 957.06, "end": 969.06, "text": "لأ بيهيب واحد يبقى بيظلمين ال determinant ليه بيبقى كل عنصر فيها بدي يكون ال determinant له ك determinant لمين لإيه مثال على ذل��", "tokens": [1211, 10721, 4724, 1829, 3224, 1829, 3555, 36764, 24401, 7251, 3555, 4587, 7578, 4724, 1829, 19913, 19528, 9957, 2423, 41296, 32239, 3224, 4724, 1829, 3555, 4587, 7578, 28242, 18871, 9381, 2288, 8978, 11296, 4724, 16254, 7251, 30544, 2423, 41296, 46740, 9122, 41296, 32767, 9957, 5296, 28814, 1829, 3224, 50113, 6027, 15844, 29910, 23275], "avg_logprob": -0.3330439930712735, "compression_ratio": 1.5267175572519085, "no_speech_prob": 0.0, "words": [{"start": 957.06, "end": 957.64, "word": "لأ", "probability": 0.43658447265625}, {"start": 957.64, "end": 958.3, "word": " بيهيب", "probability": 0.6951171875}, {"start": 958.3, "end": 958.82, "word": " واحد", "probability": 0.984375}, {"start": 958.82, "end": 959.36, "word": " يبقى", "probability": 0.9334716796875}, {"start": 959.36, "end": 960.08, "word": " بيظلمين", "probability": 0.67099609375}, {"start": 960.08, "end": 960.44, "word": " ال", "probability": 0.79736328125}, {"start": 960.44, "end": 960.86, "word": " determinant", "probability": 0.537109375}, {"start": 960.86, "end": 961.32, "word": " ليه", "probability": 0.6622314453125}, {"start": 961.32, "end": 961.56, "word": " بيبقى", "probability": 0.79365234375}, {"start": 961.56, "end": 962.0, "word": " كل", "probability": 0.84130859375}, {"start": 962.0, "end": 962.72, "word": " عنصر", "probability": 0.9588216145833334}, {"start": 962.72, "end": 963.26, "word": " فيها", "probability": 0.966552734375}, {"start": 963.26, "end": 963.88, "word": " بدي", "probability": 0.57275390625}, {"start": 963.88, "end": 964.18, "word": " يكون", "probability": 0.72509765625}, {"start": 964.18, "end": 964.32, "word": " ال", "probability": 0.91796875}, {"start": 964.32, "end": 964.96, "word": " determinant", "probability": 0.9775390625}, {"start": 964.96, "end": 965.36, "word": " له", "probability": 0.228515625}, {"start": 965.36, "end": 965.66, "word": " ك", "probability": 0.8994140625}, {"start": 965.66, "end": 966.64, "word": " determinant", "probability": 0.41845703125}, {"start": 966.64, "end": 967.5, "word": " لمين", "probability": 0.798828125}, {"start": 967.5, "end": 968.0, "word": " لإيه", "probability": 0.71728515625}, {"start": 968.0, "end": 968.42, "word": " مثال", "probability": 0.731689453125}, {"start": 968.42, "end": 968.64, "word": " على", "probability": 0.89453125}, {"start": 968.64, "end": 969.06, "word": " ذلك", "probability": 0.994873046875}], "temperature": 1.0}, {"id": 43, "seek": 99438, "start": 970.64, "end": 994.38, "text": "المصحوفة اللي عندها دي element هذا موجود في ال general linear group لإن المحدد تبعه بقداش بستة يعني لا يساوي زينو معناته موجود في ال general يبقى the set of all two by two matrices اللي هذا مضروبة فيه with determinant ستة السبب لإنه بدي يكون ال determinant", "tokens": [45340, 9381, 5016, 38688, 3660, 13672, 1829, 43242, 11296, 11778, 1829, 4478, 23758, 3714, 29245, 23328, 8978, 2423, 2674, 8213, 1594, 5296, 28814, 1863, 9673, 24401, 3215, 6055, 3555, 3615, 3224, 4724, 28543, 33599, 4724, 14851, 3660, 37495, 22653, 20193, 7251, 3794, 995, 45865, 30767, 9957, 2407, 20449, 8315, 47395, 3714, 29245, 23328, 8978, 2423, 2674, 7251, 3555, 4587, 7578, 264, 992, 295, 439, 732, 538, 732, 32284, 13672, 1829, 23758, 3714, 11242, 32887, 49401, 8978, 3224, 365, 41296, 8608, 2655, 3660, 21136, 3555, 3555, 5296, 28814, 1863, 3224, 4724, 16254, 7251, 30544, 2423, 41296], "avg_logprob": -0.26367187189559144, "compression_ratio": 1.6170212765957446, "no_speech_prob": 0.0, "words": [{"start": 970.64, "end": 971.48, "word": "المصحوفة", "probability": 0.6915771484375}, {"start": 971.48, "end": 971.58, "word": " اللي", "probability": 0.554931640625}, {"start": 971.58, "end": 972.04, "word": " عندها", "probability": 0.750244140625}, {"start": 972.04, "end": 972.46, "word": " دي", "probability": 0.5360107421875}, {"start": 972.46, "end": 973.52, "word": " element", "probability": 0.5400390625}, {"start": 973.52, "end": 974.1, "word": " هذا", "probability": 0.6572265625}, {"start": 974.1, "end": 974.8, "word": " موجود", "probability": 0.9710286458333334}, {"start": 974.8, "end": 974.96, "word": " في", "probability": 0.89453125}, {"start": 974.96, "end": 975.1, "word": " ال", "probability": 0.85595703125}, {"start": 975.1, "end": 975.44, "word": " general", "probability": 0.66259765625}, {"start": 975.44, "end": 975.84, "word": " linear", "probability": 0.90966796875}, {"start": 975.84, "end": 976.26, "word": " group", "probability": 0.96728515625}, {"start": 976.26, "end": 977.1, "word": " لإن", "probability": 0.80029296875}, {"start": 977.1, "end": 978.6, "word": " المحدد", "probability": 0.90087890625}, {"start": 978.6, "end": 978.98, "word": " تبعه", "probability": 0.836669921875}, {"start": 978.98, "end": 979.66, "word": " بقداش", "probability": 0.713134765625}, {"start": 979.66, "end": 980.58, "word": " بستة", "probability": 0.8994140625}, {"start": 980.58, "end": 980.96, "word": " يعني", "probability": 0.924072265625}, {"start": 980.96, "end": 981.6, "word": " لا", "probability": 0.7548828125}, {"start": 981.6, "end": 982.4, "word": " يساوي", "probability": 0.9315185546875}, {"start": 982.4, "end": 982.82, "word": " زينو", "probability": 0.70458984375}, {"start": 982.82, "end": 983.58, "word": " معناته", "probability": 0.931640625}, {"start": 983.58, "end": 984.02, "word": " موجود", "probability": 0.9768880208333334}, {"start": 984.02, "end": 984.24, "word": " في", "probability": 0.59130859375}, {"start": 984.24, "end": 984.38, "word": " ال", "probability": 0.9560546875}, {"start": 984.38, "end": 984.82, "word": " general", "probability": 0.88037109375}, {"start": 984.82, "end": 985.82, "word": " يبقى", "probability": 0.9588623046875}, {"start": 985.82, "end": 985.98, "word": " the", "probability": 0.71484375}, {"start": 985.98, "end": 986.26, "word": " set", "probability": 0.9609375}, {"start": 986.26, "end": 986.52, "word": " of", "probability": 0.9755859375}, {"start": 986.52, "end": 986.82, "word": " all", "probability": 0.9326171875}, {"start": 986.82, "end": 987.04, "word": " two", "probability": 0.787109375}, {"start": 987.04, "end": 987.22, "word": " by", "probability": 0.87646484375}, {"start": 987.22, "end": 987.46, "word": " two", "probability": 0.94775390625}, {"start": 987.46, "end": 988.06, "word": " matrices", "probability": 0.962890625}, {"start": 988.06, "end": 988.32, "word": " اللي", "probability": 0.760009765625}, {"start": 988.32, "end": 988.54, "word": " هذا", "probability": 0.6630859375}, {"start": 988.54, "end": 989.12, "word": " مضروبة", "probability": 0.8184814453125}, {"start": 989.12, "end": 989.52, "word": " فيه", "probability": 0.72021484375}, {"start": 989.52, "end": 990.16, "word": " with", "probability": 0.1727294921875}, {"start": 990.16, "end": 991.14, "word": " determinant", "probability": 0.66455078125}, {"start": 991.14, "end": 991.76, "word": " ستة", "probability": 0.8907877604166666}, {"start": 991.76, "end": 992.3, "word": " السبب", "probability": 0.9620768229166666}, {"start": 992.3, "end": 992.96, "word": " لإنه", "probability": 0.69476318359375}, {"start": 992.96, "end": 993.16, "word": " بدي", "probability": 0.40771484375}, {"start": 993.16, "end": 993.46, "word": " يكون", "probability": 0.8759765625}, {"start": 993.46, "end": 993.62, "word": " ال", "probability": 0.845703125}, {"start": 993.62, "end": 994.38, "word": " determinant", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 44, "seek": 101223, "start": 994.83, "end": 1012.23, "text": "لأ ال element هذا مضروب في أي element تاني وليكن بيسوء ال determinant لهذه في ال determinant اللي بيبقى ال determinant اللي بيبقى بواحد صحيح بيبقى ال determinant لهذه بستة في واحد اللي بستة هذه مجرد ملاحظة", "tokens": [1211, 10721, 2423, 4478, 23758, 3714, 11242, 32887, 3555, 8978, 36632, 4478, 6055, 7649, 1829, 4032, 20292, 19452, 4724, 1829, 3794, 2407, 38207, 2423, 41296, 46740, 24192, 8978, 2423, 41296, 13672, 1829, 4724, 1829, 3555, 4587, 7578, 2423, 41296, 13672, 1829, 4724, 1829, 3555, 4587, 7578, 4724, 14407, 24401, 20328, 5016, 1829, 5016, 4724, 1829, 3555, 4587, 7578, 2423, 41296, 46740, 24192, 4724, 14851, 3660, 8978, 36764, 24401, 13672, 1829, 4724, 14851, 3660, 29538, 3714, 7435, 2288, 3215, 3714, 15040, 5016, 19913, 3660], "avg_logprob": -0.2864583258827527, "compression_ratio": 1.9627329192546583, "no_speech_prob": 0.0, "words": [{"start": 994.83, "end": 995.65, "word": "لأ", "probability": 0.48516845703125}, {"start": 995.65, "end": 995.97, "word": " ال", "probability": 0.253173828125}, {"start": 995.97, "end": 996.51, "word": " element", "probability": 0.43408203125}, 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{"start": 1002.79, "end": 1002.89, "word": " ال", "probability": 0.85205078125}, {"start": 1002.89, "end": 1003.49, "word": " determinant", "probability": 0.96240234375}, {"start": 1003.49, "end": 1003.77, "word": " اللي", "probability": 0.767333984375}, {"start": 1003.77, "end": 1004.01, "word": " بيبقى", "probability": 0.7675537109375}, {"start": 1004.01, "end": 1004.01, "word": " ال", "probability": 0.20166015625}, {"start": 1004.01, "end": 1004.45, "word": " determinant", "probability": 0.95068359375}, {"start": 1004.45, "end": 1004.69, "word": " اللي", "probability": 0.833740234375}, {"start": 1004.69, "end": 1004.97, "word": " بيبقى", "probability": 0.9578125}, {"start": 1004.97, "end": 1005.23, "word": " بواحد", "probability": 0.82666015625}, {"start": 1005.23, "end": 1005.81, "word": " صحيح", "probability": 0.86285400390625}, {"start": 1005.81, "end": 1006.45, "word": " بيبقى", "probability": 0.77255859375}, {"start": 1006.45, "end": 1006.57, "word": " ال", "probability": 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أساسية ولا كتاب جبر بيخلوا منها هذه النظرية اسمها لظرية Lagrange Lagrange هو اللي اكتشفها بالبلد هيك ال order لو كانت ال G finite فال order لل sub group بيقسم ال order لل group", "tokens": [9566, 1829, 3555, 8717, 7435, 1829, 6024, 48506, 5296, 1863, 19913, 2288, 10632, 588, 1021, 8978, 25724, 26890, 37037, 24192, 5551, 3794, 32277, 10632, 49429, 9122, 2655, 16758, 10874, 26890, 4724, 1829, 9778, 1211, 14407, 9154, 11296, 29538, 28239, 19913, 2288, 10632, 24525, 2304, 11296, 5296, 19913, 2288, 10632, 24886, 14521, 24886, 14521, 31439, 13672, 1829, 1975, 4117, 2655, 8592, 5172, 11296, 20666, 36150, 3215, 39896, 4117, 2423, 1668, 45164, 25961, 2655, 2423, 460, 19362, 6156, 6027, 1668, 24976, 1422, 1594, 4724, 1829, 4587, 38251, 2423, 1668, 24976, 1594], "avg_logprob": -0.18854167328940497, "compression_ratio": 1.6862745098039216, "no_speech_prob": 0.0, "words": [{"start": 1012.75, "end": 1013.23, "word": "طيب", "probability": 0.660400390625}, {"start": 1013.23, "end": 1013.71, "word": " نجي", "probability": 0.7107747395833334}, {"start": 1013.71, "end": 1014.21, "word": " الآن", "probability": 0.5701904296875}, {"start": 1014.21, "end": 1015.43, "word": " لنظرية", "probability": 0.933203125}, {"start": 1015.43, "end": 1015.93, "word": " very", "probability": 0.59423828125}, {"start": 1015.93, "end": 1017.05, "word": " important", "probability": 0.96484375}, {"start": 1017.05, "end": 1017.33, "word": " في", "probability": 0.88916015625}, {"start": 1017.33, "end": 1017.87, "word": " الجبر", "probability": 0.92822265625}, {"start": 1017.87, "end": 1018.91, "word": " وهذه", "probability": 0.691162109375}, {"start": 1018.91, "end": 1020.09, "word": " أساسية", "probability": 0.9287109375}, {"start": 1020.09, "end": 1020.51, "word": " ولا", "probability": 0.77978515625}, {"start": 1020.51, "end": 1021.11, "word": " كتاب", "probability": 0.9967447916666666}, {"start": 1021.11, "end": 1021.57, "word": " جبر", "probability": 0.96142578125}, {"start": 1021.57, "end": 1022.45, "word": " بيخلوا", "probability": 0.83193359375}, {"start": 1022.45, "end": 1023.07, "word": " منها", "probability": 0.99169921875}, {"start": 1023.07, "end": 1024.13, "word": " هذه", "probability": 0.7548828125}, {"start": 1024.13, "end": 1024.81, "word": " النظرية", "probability": 0.9554443359375}, {"start": 1024.81, "end": 1025.27, "word": " اسمها", "probability": 0.84326171875}, {"start": 1025.27, "end": 1026.13, "word": " لظرية", "probability": 0.72869873046875}, {"start": 1026.13, "end": 1026.95, "word": " Lagrange", "probability": 0.833251953125}, {"start": 1026.95, "end": 1027.53, "word": " Lagrange", "probability": 0.635009765625}, {"start": 1027.53, "end": 1027.71, "word": " هو", "probability": 0.91748046875}, {"start": 1027.71, "end": 1027.91, "word": " اللي", "probability": 0.939697265625}, {"start": 1027.91, "end": 1028.79, "word": " اكتشفها", "probability": 0.982177734375}, {"start": 1028.79, "end": 1029.97, "word": " بالبلد", "probability": 0.8746744791666666}, {"start": 1029.97, "end": 1030.47, "word": " هيك", "probability": 0.96630859375}, {"start": 1030.47, "end": 1030.65, "word": " ال", "probability": 0.89306640625}, {"start": 1030.65, "end": 1031.27, "word": " order", "probability": 0.95263671875}, {"start": 1031.27, "end": 1031.69, "word": " لو", "probability": 0.91064453125}, {"start": 1031.69, "end": 1032.07, "word": " كانت", "probability": 0.955810546875}, {"start": 1032.07, "end": 1032.27, "word": " ال", "probability": 0.802734375}, {"start": 1032.27, "end": 1032.45, "word": " G", "probability": 0.6884765625}, {"start": 1032.45, "end": 1033.01, "word": " finite", "probability": 0.78125}, {"start": 1033.01, "end": 1033.83, "word": " فال", "probability": 0.91064453125}, {"start": 1033.83, "end": 1034.17, "word": " order", "probability": 0.94189453125}, {"start": 1034.17, "end": 1034.53, "word": " لل", "probability": 0.8505859375}, {"start": 1034.53, "end": 1034.75, "word": " sub", "probability": 0.79150390625}, {"start": 1034.75, "end": 1035.13, "word": " group", "probability": 0.521484375}, {"start": 1035.13, "end": 1036.29, "word": " بيقسم", "probability": 0.9527587890625}, {"start": 1036.29, "end": 1036.97, "word": " ال", "probability": 0.90673828125}, {"start": 1036.97, "end": 1037.63, "word": " order", "probability": 0.97900390625}, {"start": 1037.63, "end": 1038.01, "word": " لل", "probability": 0.908203125}, {"start": 1038.01, "end": 1038.53, "word": " group", "probability": 0.9765625}], "temperature": 1.0}, {"id": 46, "seek": 106206, "start": 1038.86, "end": 1062.06, "text": "وهذه شرطها لكم من أول ما بدأت تقولوا دير بالك قدام هناخد ان ال order لل element بده يقسم ال order لل group و ال order لل sub group بده يقسم ال order لل group كذلك فبدنا نيجي ل Lagrange theorem يبقى هنا Lagrange theorem", "tokens": [2407, 3224, 24192, 13412, 2288, 9566, 11296, 5296, 24793, 9154, 5551, 12610, 19446, 47525, 10721, 2655, 6055, 39648, 14407, 11778, 13546, 20666, 4117, 12174, 3215, 10943, 8032, 1863, 47283, 3215, 16472, 2423, 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0.8953857421875}, {"start": 1293.86, "end": 1294.86, "word": " ان", "probability": 0.84326171875}, {"start": 1294.86, "end": 1295.28, "word": " هذا", "probability": 0.65869140625}, {"start": 1295.28, "end": 1297.04, "word": " عبارة", "probability": 0.83148193359375}, {"start": 1297.04, "end": 1297.18, "word": " عن", "probability": 0.9853515625}, {"start": 1297.18, "end": 1297.52, "word": " ايش؟", "probability": 0.621063232421875}, {"start": 1297.52, "end": 1297.8, "word": " عبارة", "probability": 0.98046875}, {"start": 1297.8, "end": 1298.06, "word": " عن", "probability": 0.99462890625}, {"start": 1298.06, "end": 1298.76, "word": " كل", "probability": 0.8984375}, {"start": 1298.76, "end": 1299.68, "word": " Destinate", "probability": 0.435546875}, {"start": 1299.68, "end": 1300.04, "word": " Left", "probability": 0.64453125}, {"start": 1300.04, "end": 1300.68, "word": " Cosets", "probability": 0.95263671875}, {"start": 1300.68, "end": 1301.02, "word": " اللي", "probability": 0.824462890625}, {"start": 1301.02, "end": 1301.4, "word": " ولا", "probability": 0.79345703125}, {"start": 1301.4, "end": 1301.98, "word": " واحدة", "probability": 0.9557291666666666}, {"start": 1301.98, "end": 1302.72, "word": " بتساوي", "probability": 0.921875}, {"start": 1302.72, "end": 1303.5, "word": " التانية", "probability": 0.9519856770833334}], "temperature": 1.0}, {"id": 56, "seek": 132269, "start": 1305.01, "end": 1322.69, "text": "طيب، الآن بداجي أقول let ال A belongs to G then ال A H is a left cassette", "tokens": [9566, 1829, 3555, 12399, 6024, 48506, 47525, 26108, 1829, 5551, 39648, 718, 2423, 316, 12953, 281, 460, 550, 2423, 316, 389, 307, 257, 1411, 40514], "avg_logprob": -0.3996394288081389, "compression_ratio": 1.010752688172043, "no_speech_prob": 0.0, "words": [{"start": 1305.01, "end": 1306.41, "word": "طيب،", "probability": 0.7247314453125}, {"start": 1306.41, "end": 1307.21, "word": " الآن", "probability": 0.6544189453125}, {"start": 1307.21, "end": 1308.19, "word": " بداجي", "probability": 0.54638671875}, {"start": 1308.19, "end": 1308.89, "word": " أقول", "probability": 0.769287109375}, {"start": 1308.89, "end": 1310.13, "word": " let", "probability": 0.56591796875}, {"start": 1310.13, "end": 1311.07, "word": " ال", "probability": 0.8173828125}, {"start": 1311.07, "end": 1311.63, "word": " A", "probability": 0.429443359375}, {"start": 1311.63, "end": 1312.35, "word": " belongs", "probability": 0.7666015625}, {"start": 1312.35, "end": 1312.69, "word": " to", "probability": 0.98828125}, {"start": 1312.69, "end": 1313.01, "word": " G", "probability": 0.9853515625}, {"start": 1313.01, "end": 1315.43, "word": " then", "probability": 0.354736328125}, {"start": 1315.43, "end": 1317.79, "word": " ال", "probability": 0.92578125}, {"start": 1317.79, "end": 1318.25, "word": " A", "probability": 0.908203125}, {"start": 1318.25, "end": 1318.87, "word": " H", "probability": 0.82080078125}, {"start": 1318.87, "end": 1319.71, "word": " is", "probability": 0.9658203125}, {"start": 1319.71, "end": 1320.53, "word": " a", "probability": 0.96630859375}, {"start": 1320.53, "end": 1321.25, "word": " left", "probability": 0.94580078125}, {"start": 1321.25, "end": 1322.69, "word": " cassette", "probability": 0.2442626953125}], "temperature": 1.0}, {"id": 57, "seek": 135046, "start": 1324.16, "end": 1350.46, "text": "صحيح ولا لأ يعني معناته ان ال a h هساوي واحدة من هدول هتكون واحدة منهم صح يبقى الآن ساعة ال a h هذه بدها ساوي a i h تمام طيب كويس but", "tokens": [9381, 5016, 1829, 5016, 49429, 5296, 10721, 37495, 22653, 20449, 8315, 47395, 16472, 2423, 257, 276, 8032, 3794, 995, 45865, 36764, 24401, 3660, 9154, 8032, 3215, 12610, 8032, 2655, 30544, 36764, 24401, 3660, 9154, 16095, 20328, 5016, 7251, 3555, 4587, 7578, 6024, 48506, 8608, 995, 27884, 2423, 257, 276, 29538, 47525, 11296, 8608, 995, 45865, 257, 741, 276, 46811, 10943, 23032, 1829, 3555, 9122, 45865, 3794, 457], "avg_logprob": -0.24287683560567744, "compression_ratio": 1.5448275862068965, "no_speech_prob": 0.0, "words": [{"start": 1324.16, "end": 1324.74, "word": "صحيح", "probability": 0.78369140625}, {"start": 1324.74, "end": 1324.88, "word": " ولا", "probability": 0.7431640625}, {"start": 1324.88, "end": 1325.32, "word": " لأ", "probability": 0.794677734375}, {"start": 1325.32, "end": 1326.3, "word": " يعني", "probability": 0.73388671875}, {"start": 1326.3, "end": 1326.94, "word": " معناته", "probability": 0.96484375}, {"start": 1326.94, "end": 1327.26, "word": " ان", "probability": 0.6630859375}, {"start": 1327.26, "end": 1327.6, "word": " ال", "probability": 0.95263671875}, {"start": 1327.6, "end": 1327.88, "word": " a", "probability": 0.25537109375}, {"start": 1327.88, "end": 1328.32, "word": " h", "probability": 0.783203125}, {"start": 1328.32, "end": 1329.0, "word": " هساوي", "probability": 0.68023681640625}, {"start": 1329.0, "end": 1329.46, "word": " واحدة", "probability": 0.8797200520833334}, {"start": 1329.46, "end": 1329.68, "word": " من", "probability": 0.99072265625}, {"start": 1329.68, "end": 1330.4, "word": " هدول", "probability": 0.9357096354166666}, {"start": 1330.4, "end": 1331.36, "word": " هتكون", "probability": 0.9435221354166666}, {"start": 1331.36, "end": 1331.74, "word": " واحدة", "probability": 0.95654296875}, {"start": 1331.74, "end": 1332.16, "word": " منهم", "probability": 0.956787109375}, {"start": 1332.16, "end": 1332.62, "word": " صح", "probability": 0.889404296875}, {"start": 1332.62, "end": 1334.0, "word": " يبقى", "probability": 0.899169921875}, {"start": 1334.0, "end": 1335.02, "word": " الآن", "probability": 0.6109619140625}, {"start": 1335.02, "end": 1336.2, "word": " ساعة", "probability": 0.5564778645833334}, {"start": 1336.2, "end": 1337.84, "word": " ال", "probability": 0.91162109375}, {"start": 1337.84, "end": 1338.3, "word": " a", "probability": 0.8525390625}, {"start": 1338.3, "end": 1338.88, "word": " h", "probability": 0.88427734375}, {"start": 1338.88, "end": 1339.5, "word": " هذه", "probability": 0.603515625}, {"start": 1339.5, "end": 1340.58, "word": " بدها", "probability": 0.84130859375}, {"start": 1340.58, "end": 1341.32, "word": " ساوي", "probability": 0.8382161458333334}, {"start": 1341.32, "end": 1342.16, "word": " a", "probability": 0.78125}, {"start": 1342.16, "end": 1343.02, "word": " i", "probability": 0.4501953125}, {"start": 1343.02, "end": 1343.58, "word": " h", "probability": 0.97119140625}, {"start": 1343.58, "end": 1347.42, "word": " تمام", "probability": 0.7919921875}, {"start": 1347.42, "end": 1349.46, "word": " طيب", "probability": 0.8865559895833334}, {"start": 1349.46, "end": 1350.1, "word": " كويس", "probability": 0.9703776041666666}, {"start": 1350.1, "end": 1350.46, "word": " but", "probability": 0.67919921875}], "temperature": 1.0}, {"id": 58, "seek": 136580, "start": 1352.24, "end": 1365.8, "text": "we know that احنا بنعرف ان ال a موجودة في ال a h فموجودة في ال a h مظبوط", "tokens": [826, 458, 300, 1975, 5016, 8315, 44945, 3615, 28480, 16472, 2423, 257, 3714, 29245, 23328, 3660, 8978, 2423, 257, 276, 6156, 2304, 29245, 23328, 3660, 8978, 2423, 257, 276, 3714, 19913, 3555, 2407, 9566], "avg_logprob": -0.265625, "compression_ratio": 1.353658536585366, "no_speech_prob": 0.0, "words": [{"start": 1352.2400000000002, "end": 1353.3600000000001, "word": "we", "probability": 0.43701171875}, {"start": 1353.3600000000001, "end": 1354.48, "word": " know", "probability": 0.8779296875}, {"start": 1354.48, "end": 1355.28, "word": " that", "probability": 0.9501953125}, {"start": 1355.28, "end": 1356.86, "word": " احنا", "probability": 0.814697265625}, {"start": 1356.86, "end": 1357.56, "word": " بنعرف", "probability": 0.9466145833333334}, {"start": 1357.56, "end": 1358.12, "word": " ان", "probability": 0.75390625}, {"start": 1358.12, "end": 1358.52, "word": " ال", "probability": 0.96630859375}, {"start": 1358.52, "end": 1358.92, "word": " a", "probability": 0.484375}, {"start": 1358.92, "end": 1359.76, "word": " موجودة", "probability": 0.9715576171875}, {"start": 1359.76, "end": 1359.9, "word": " في", "probability": 0.92578125}, {"start": 1359.9, "end": 1360.08, "word": " ال", "probability": 0.91064453125}, {"start": 1360.08, "end": 1360.26, "word": " a", "probability": 0.12548828125}, {"start": 1360.26, "end": 1360.64, "word": " h", "probability": 0.276611328125}, {"start": 1360.64, "end": 1362.26, "word": " فموجودة", "probability": 0.9548828125}, {"start": 1362.26, "end": 1362.44, "word": " في", "probability": 0.95068359375}, {"start": 1362.44, "end": 1362.76, "word": " ال", "probability": 0.98583984375}, {"start": 1362.76, "end": 1363.26, "word": " a", "probability": 0.947265625}, {"start": 1363.26, "end": 1364.02, "word": " h", "probability": 0.78759765625}, {"start": 1364.02, "end": 1365.8, "word": " مظبوط", "probability": 0.858203125}], "temperature": 1.0}, {"id": 59, "seek": 139075, "start": 1367.23, "end": 1390.75, "text": "بارهنها المرة اللى فاتت مدام موجودة هنا وهذه بتساوي هذه يبقى ال element وين موجود؟ في ال A I H يبقى هذا بده يعطينا ان ال A belongs to A I H طب انا لما أخدت ال A في G أخدت عنصر عشوائي ولا عنصر محدد", "tokens": [3555, 9640, 3224, 1863, 11296, 9673, 25720, 13672, 7578, 6156, 9307, 2655, 3714, 3215, 10943, 3714, 29245, 23328, 3660, 34105, 37037, 24192, 39894, 3794, 995, 45865, 29538, 7251, 3555, 4587, 7578, 2423, 4478, 4032, 9957, 3714, 29245, 23328, 22807, 8978, 2423, 316, 286, 389, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 37495, 9566, 1829, 8315, 16472, 2423, 316, 12953, 281, 316, 286, 389, 23032, 3555, 1975, 8315, 5296, 15042, 5551, 9778, 3215, 2655, 2423, 316, 8978, 460, 5551, 9778, 3215, 2655, 18871, 9381, 2288, 6225, 8592, 2407, 16373, 1829, 49429, 18871, 9381, 2288, 3714, 24401, 3215], "avg_logprob": -0.22841494353776126, "compression_ratio": 1.6512820512820512, "no_speech_prob": 0.0, "words": [{"start": 1367.23, "end": 1368.05, "word": "بارهنها", "probability": 0.60546875}, {"start": 1368.05, "end": 1368.37, "word": " المرة", "probability": 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"probability": 0.5849609375}, {"start": 1373.55, "end": 1374.25, "word": " موجود؟", "probability": 0.84515380859375}, {"start": 1374.25, "end": 1374.37, "word": " في", "probability": 0.638671875}, {"start": 1374.37, "end": 1374.53, "word": " ال", "probability": 0.88330078125}, {"start": 1374.53, "end": 1374.77, "word": " A", "probability": 0.33984375}, {"start": 1374.77, "end": 1375.07, "word": " I", "probability": 0.66015625}, {"start": 1375.07, "end": 1375.49, "word": " H", "probability": 0.98486328125}, {"start": 1375.49, "end": 1376.67, "word": " يبقى", "probability": 0.974609375}, {"start": 1376.67, "end": 1377.01, "word": " هذا", "probability": 0.91455078125}, {"start": 1377.01, "end": 1377.45, "word": " بده", "probability": 0.73486328125}, {"start": 1377.45, "end": 1378.23, "word": " يعطينا", "probability": 0.97021484375}, {"start": 1378.23, "end": 1378.61, "word": " ان", "probability": 0.85498046875}, {"start": 1378.61, "end": 1379.01, "word": " ال", "probability": 0.93603515625}, {"start": 1379.01, "end": 1379.31, "word": " A", "probability": 0.7802734375}, {"start": 1379.31, "end": 1380.07, "word": " belongs", "probability": 0.317626953125}, {"start": 1380.07, "end": 1380.49, "word": " to", "probability": 0.97314453125}, {"start": 1380.49, "end": 1381.13, "word": " A", "probability": 0.76708984375}, {"start": 1381.13, "end": 1381.75, "word": " I", "probability": 0.97900390625}, {"start": 1381.75, "end": 1382.29, "word": " H", "probability": 0.9853515625}, {"start": 1382.29, "end": 1385.75, "word": " طب", "probability": 0.526611328125}, {"start": 1385.75, "end": 1386.01, "word": " انا", "probability": 0.840576171875}, {"start": 1386.01, "end": 1386.21, "word": " لما", "probability": 0.913818359375}, {"start": 1386.21, "end": 1386.61, "word": " أخدت", "probability": 0.8748779296875}, {"start": 1386.61, "end": 1386.75, "word": " ال", "probability": 0.927734375}, {"start": 1386.75, "end": 1386.93, "word": " A", "probability": 0.88134765625}, {"start": 1386.93, "end": 1387.09, "word": " في", "probability": 0.841796875}, {"start": 1387.09, "end": 1387.23, "word": " G", "probability": 0.8076171875}, {"start": 1387.23, "end": 1387.83, "word": " أخدت", "probability": 0.8876953125}, {"start": 1387.83, "end": 1388.31, "word": " عنصر", "probability": 0.9796549479166666}, {"start": 1388.31, "end": 1389.19, "word": " عشوائي", "probability": 0.94091796875}, {"start": 1389.19, "end": 1389.41, "word": " ولا", "probability": 0.58837890625}, {"start": 1389.41, "end": 1389.83, "word": " عنصر", "probability": 0.9873046875}, {"start": 1389.83, "end": 1390.75, "word": " محدد", "probability": 0.99609375}], "temperature": 1.0}, {"id": 60, "seek": 140997, "start": 1391.97, "end": 1409.97, "text": "عشوائي مدام عشوائي ينطبق على أي عنصر موجود في ال group G بفهم من هذا الكلام انه كل عنصر موجود في جي حالة جي في واحدة من ال lift cassettes صح ولا لأ سكت الشعب", "tokens": [3615, 8592, 2407, 16373, 1829, 3714, 3215, 10943, 6225, 8592, 2407, 16373, 1829, 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"text": "و ال order ل A to H هو ال order ل H و ال order ل A RH هو ال order ل H يعني هذا الكلام يعني ان ال order ل G بده يساوي ال order ل H زائد ال order ل H زائد زائد ال order ل H اكم مرة هدول؟ R", "tokens": [2407, 2423, 1668, 5296, 316, 281, 389, 31439, 2423, 1668, 5296, 389, 4032, 2423, 1668, 5296, 316, 50209, 31439, 2423, 1668, 5296, 389, 37495, 22653, 23758, 2423, 28820, 10943, 37495, 22653, 16472, 2423, 1668, 5296, 460, 47525, 3224, 7251, 3794, 995, 45865, 2423, 1668, 5296, 389, 30767, 16373, 3215, 2423, 1668, 5296, 389, 30767, 16373, 3215, 30767, 16373, 3215, 2423, 1668, 5296, 389, 1975, 24793, 3714, 25720, 8032, 3215, 12610, 22807, 497], "avg_logprob": -0.21329195042179055, "compression_ratio": 2.128, "no_speech_prob": 0.0, "words": [{"start": 1631.39, "end": 1631.55, "word": "و", "probability": 0.475341796875}, {"start": 1631.55, "end": 1631.71, "word": " ال", "probability": 0.29052734375}, {"start": 1631.71, "end": 1632.15, "word": " order", "probability": 0.9326171875}, 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1952.87, "end": 1966.61, "text": "أول مثال example بقول let ال G تساوي S4 and", "tokens": [10721, 12610, 50113, 6027, 1365, 4724, 39648, 718, 2423, 460, 6055, 3794, 995, 45865, 318, 19, 293], "avg_logprob": -0.2567274255885018, "compression_ratio": 0.9838709677419355, "no_speech_prob": 0.0, "words": [{"start": 1952.87, "end": 1953.37, "word": "أول", "probability": 0.864990234375}, {"start": 1953.37, "end": 1954.15, "word": " مثال", "probability": 0.9677734375}, {"start": 1954.15, "end": 1956.03, "word": " example", "probability": 0.4248046875}, {"start": 1956.03, "end": 1958.87, "word": " بقول", "probability": 0.805419921875}, {"start": 1958.87, "end": 1959.43, "word": " let", "probability": 0.70361328125}, {"start": 1959.43, "end": 1961.07, "word": " ال", "probability": 0.78857421875}, {"start": 1961.07, "end": 1961.51, "word": " G", "probability": 0.3466796875}, {"start": 1961.51, "end": 1963.29, "word": " تساوي", "probability": 0.93994140625}, {"start": 1963.29, "end": 1964.41, 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"end": 2210.19, "text": "ما دام هيكي بقى صارت قصتنا بسيطة قال لي هاتلي ال index بقوله الآن ال index ل ال subgroup H في ال group S4 يساوي ال order لل S4 على ال order لل H ال order لل S4 اللي هو أربعة factorial وهذه أربعة", "tokens": [15042, 11778, 10943, 39896, 4117, 1829, 4724, 4587, 7578, 20328, 9640, 2655, 12174, 9381, 2655, 8315, 4724, 3794, 1829, 9566, 3660, 50239, 32239, 8032, 9307, 20292, 2423, 8186, 4724, 39648, 3224, 6024, 48506, 2423, 8186, 5296, 2423, 1422, 17377, 389, 8978, 2423, 1594, 318, 19, 7251, 3794, 995, 45865, 2423, 1668, 24976, 318, 19, 15844, 2423, 1668, 24976, 389, 2423, 1668, 24976, 318, 19, 13672, 1829, 31439, 5551, 25513, 27884, 36916, 37037, 24192, 5551, 25513, 27884], "avg_logprob": -0.23478084570401675, "compression_ratio": 1.6201117318435754, "no_speech_prob": 0.0, "words": [{"start": 2185.83, "end": 2186.11, "word": "ما", "probability": 0.11773681640625}, {"start": 2186.11, "end": 2186.51, "word": " دام", "probability": 0.8623046875}, {"start": 2186.51, "end": 2187.09, "word": " هيكي", "probability": 0.6018880208333334}, {"start": 2187.09, "end": 2187.33, "word": " بقى", "probability": 0.5227864583333334}, {"start": 2187.33, "end": 2187.63, "word": " صارت", "probability": 0.7561848958333334}, {"start": 2187.63, "end": 2188.21, "word": " قصتنا", "probability": 0.9879150390625}, {"start": 2188.21, "end": 2188.91, "word": " بسيطة", "probability": 0.987890625}, {"start": 2188.91, "end": 2189.63, "word": " قال", "probability": 0.7255859375}, {"start": 2189.63, "end": 2189.79, "word": " لي", "probability": 0.403076171875}, {"start": 2189.79, "end": 2190.21, "word": " هاتلي", "probability": 0.8053385416666666}, {"start": 2190.21, "end": 2190.41, "word": " ال", "probability": 0.9755859375}, {"start": 2190.41, "end": 2190.93, "word": " index", "probability": 0.84228515625}, {"start": 2190.93, "end": 2191.99, "word": " بقوله", "probability": 0.8230794270833334}, {"start": 2191.99, "end": 2192.59, "word": " الآن", "probability": 0.6787109375}, {"start": 2192.59, "end": 2192.95, "word": " ال", "probability": 0.97412109375}, {"start": 2192.95, "end": 2193.77, "word": " index", "probability": 0.9482421875}, {"start": 2193.77, "end": 2194.43, "word": " ل", "probability": 0.79833984375}, {"start": 2194.43, "end": 2194.93, "word": " ال", "probability": 0.499267578125}, {"start": 2194.93, "end": 2195.71, "word": " subgroup", "probability": 0.67529296875}, {"start": 2195.71, "end": 2196.21, "word": " H", "probability": 0.76416015625}, {"start": 2196.21, "end": 2196.95, "word": " في", "probability": 0.9462890625}, {"start": 2196.95, "end": 2197.35, "word": " ال", "probability": 0.8037109375}, {"start": 2197.35, "end": 2197.85, "word": " group", "probability": 0.9716796875}, {"start": 2197.85, "end": 2198.81, "word": " S4", "probability": 0.953369140625}, {"start": 2198.81, "end": 2199.95, "word": " يساوي", "probability": 0.8648681640625}, {"start": 2199.95, "end": 2200.15, "word": " ال", "probability": 0.96923828125}, {"start": 2200.15, "end": 2200.65, "word": " order", "probability": 0.978515625}, {"start": 2200.65, "end": 2201.03, "word": " لل", "probability": 0.8037109375}, {"start": 2201.03, "end": 2201.89, "word": " S4", "probability": 0.96875}, {"start": 2201.89, "end": 2202.63, "word": " على", "probability": 0.74609375}, {"start": 2202.63, "end": 2202.91, "word": " ال", "probability": 0.97314453125}, {"start": 2202.91, "end": 2203.45, "word": " order", "probability": 0.9658203125}, {"start": 2203.45, "end": 2203.83, "word": " لل", "probability": 0.90087890625}, {"start": 2203.83, "end": 2204.15, "word": " H", "probability": 0.7509765625}, {"start": 2204.15, "end": 2204.75, "word": " ال", "probability": 0.8994140625}, {"start": 2204.75, "end": 2205.19, "word": " order", "probability": 0.970703125}, {"start": 2205.19, "end": 2205.47, "word": " لل", "probability": 0.859375}, {"start": 2205.47, "end": 2206.25, "word": " S4", "probability": 0.986083984375}, {"start": 2206.25, "end": 2206.47, "word": " اللي", "probability": 0.87890625}, {"start": 2206.47, "end": 2206.71, "word": " هو", "probability": 0.97802734375}, {"start": 2206.71, "end": 2207.43, "word": " أربعة", "probability": 0.7919921875}, {"start": 2207.43, "end": 2208.37, "word": " factorial", "probability": 0.76220703125}, {"start": 2208.37, "end": 2209.53, "word": " وهذه", "probability": 0.65673828125}, {"start": 2209.53, "end": 2210.19, "word": " أربعة", "probability": 0.9446614583333334}], "temperature": 1.0}, {"id": 94, "seek": 222646, "start": 2210.44, "end": 2226.46, "text": "يبقى هذه بنقول أربعة في تلاتة factorial على أربعة يبقى تلاتة factorial تلاتة factorial يسوى كده؟ يسوى ستة", "tokens": [1829, 3555, 4587, 7578, 29538, 44945, 39648, 5551, 25513, 27884, 8978, 6055, 1211, 9307, 3660, 36916, 15844, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 6055, 1211, 9307, 3660, 36916, 6055, 1211, 9307, 3660, 36916, 7251, 3794, 2407, 7578, 9122, 3215, 3224, 22807, 7251, 3794, 2407, 7578, 8608, 2655, 3660], "avg_logprob": -0.19140625, "compression_ratio": 1.5660377358490567, "no_speech_prob": 0.0, "words": [{"start": 2210.44, "end": 2211.12, "word": "يبقى", "probability": 0.885498046875}, {"start": 2211.12, "end": 2211.4, "word": " هذه", "probability": 0.431640625}, {"start": 2211.4, "end": 2212.86, "word": " بنقول", "probability": 0.716796875}, {"start": 2212.86, "end": 2214.02, "word": " أربعة", "probability": 0.767333984375}, {"start": 2214.02, "end": 2215.18, "word": " في", "probability": 0.87890625}, {"start": 2215.18, "end": 2217.34, "word": " تلاتة", "probability": 0.8695068359375}, {"start": 2217.34, "end": 2218.1, "word": " factorial", "probability": 0.609375}, {"start": 2218.1, "end": 2218.98, "word": " على", "probability": 0.62841796875}, {"start": 2218.98, "end": 2219.82, "word": " أربعة", "probability": 0.9361979166666666}, {"start": 2219.82, "end": 2220.68, "word": " يبقى", "probability": 0.9573974609375}, {"start": 2220.68, "end": 2221.36, "word": " تلاتة", "probability": 0.9842529296875}, {"start": 2221.36, "end": 2222.26, "word": " factorial", "probability": 0.85791015625}, {"start": 2222.26, "end": 2223.18, "word": " تلاتة", "probability": 0.876220703125}, {"start": 2223.18, "end": 2223.82, "word": " factorial", "probability": 0.8173828125}, {"start": 2223.82, "end": 2224.46, "word": " يسوى", "probability": 0.8427734375}, {"start": 2224.46, "end": 2225.2, "word": " كده؟", "probability": 0.6728515625}, {"start": 2225.2, "end": 2225.88, "word": " يسوى", "probability": 0.9290771484375}, {"start": 2225.88, "end": 2226.46, "word": " ستة", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 95, "seek": 225614, "start": 2226.62, "end": 2256.14, "text": "إذاً ال index تبع ال subgroup اللي عندنا هذه في ال group G الأصلية هو عبارة عن ستة، إيش يعني ستة؟ يعني أنا ضمنت عدد ال left destined cosets لل S4 لما نضربهم في ال .. لما ينضربوا في ال permutation اللي في ال .. في ال H اللي عند ال subgroup بطلع عندى بس ستة left destined cosets", "tokens": [28814, 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"probability": 0.78857421875}, {"start": 2240.74, "end": 2241.52, "word": " destined", "probability": 0.24365234375}, {"start": 2241.52, "end": 2242.48, "word": " cosets", "probability": 0.84814453125}, {"start": 2242.48, "end": 2243.2, "word": " لل", "probability": 0.82177734375}, {"start": 2243.2, "end": 2244.12, "word": " S4", "probability": 0.840087890625}, {"start": 2244.12, "end": 2245.2, "word": " لما", "probability": 0.848876953125}, {"start": 2245.2, "end": 2246.02, "word": " نضربهم", "probability": 0.9766845703125}, {"start": 2246.02, "end": 2246.46, "word": " في", "probability": 0.98779296875}, {"start": 2246.46, "end": 2246.98, "word": " ال", "probability": 0.72412109375}, {"start": 2246.98, "end": 2246.98, "word": " ..", "probability": 0.214599609375}, {"start": 2246.98, "end": 2247.16, "word": " لما", "probability": 0.923583984375}, {"start": 2247.16, "end": 2247.8, "word": " ينضربوا", "probability": 0.85517578125}, {"start": 2247.8, "end": 2247.94, "word": " في", "probability": 0.96826171875}, {"start": 2247.94, "end": 2248.08, "word": " ال", "probability": 0.9775390625}, {"start": 2248.08, "end": 2248.74, "word": " permutation", "probability": 0.897216796875}, {"start": 2248.74, "end": 2249.06, "word": " اللي", "probability": 0.80126953125}, {"start": 2249.06, "end": 2249.36, "word": " في", "probability": 0.7607421875}, {"start": 2249.36, "end": 2249.86, "word": " ال", "probability": 0.98974609375}, {"start": 2249.86, "end": 2249.86, "word": " ..", "probability": 0.6474609375}, {"start": 2249.86, "end": 2250.12, "word": " في", "probability": 0.9423828125}, {"start": 2250.12, "end": 2250.3, "word": " ال", "probability": 0.99169921875}, {"start": 2250.3, "end": 2250.56, "word": " H", "probability": 0.80078125}, {"start": 2250.56, "end": 2250.78, "word": " اللي", "probability": 0.986328125}, {"start": 2250.78, "end": 2250.98, "word": " عند", "probability": 0.96533203125}, {"start": 2250.98, "end": 2251.14, "word": " ال", "probability": 0.416259765625}, {"start": 2251.14, "end": 2251.7, "word": " subgroup", "probability": 0.964599609375}, {"start": 2251.7, "end": 2252.38, "word": " بطلع", "probability": 0.75653076171875}, {"start": 2252.38, "end": 2252.6, "word": " عندى", "probability": 0.6806640625}, {"start": 2252.6, "end": 2252.98, "word": " بس", "probability": 0.893798828125}, {"start": 2252.98, "end": 2253.76, "word": " ستة", "probability": 0.8050130208333334}, {"start": 2253.76, "end": 2254.14, "word": " left", "probability": 0.84814453125}, {"start": 2254.14, "end": 2255.38, "word": " destined", "probability": 0.791015625}, {"start": 2255.38, "end": 2256.14, "word": " cosets", "probability": 0.986328125}], "temperature": 1.0}, {"id": 96, "seek": 228346, "start": 2256.45, "end": 2283.47, "text": "يعني معناه كل أربعة هيتساووا عشان يطلع عندى ستة صح ولا لا يعني كل أربعة left cosets هيطلعوا نفس الشيء وبالتالي ضمنت عدد ال left cosets يساوي ستة كان بيمكني أصيغ نفس السؤال و بدل ما اقول هاتل ال index اقول find the 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2283.93, "end": 2284.13, "word": "مش", "probability": 0.508544921875}, {"start": 2284.13, "end": 2284.29, "word": " هو", "probability": 0.78955078125}, {"start": 2284.29, "end": 2284.49, "word": " نفس", "probability": 0.98974609375}, {"start": 2284.49, "end": 2285.03, "word": " السؤال", "probability": 0.9928385416666666}, {"start": 2285.03, "end": 2285.97, "word": " نفس", "probability": 0.63037109375}, {"start": 2285.97, "end": 2286.55, "word": " السؤال", "probability": 0.9899088541666666}, {"start": 2286.55, "end": 2287.11, "word": " حرفية", "probability": 0.9352213541666666}, {"start": 2287.11, "end": 2287.43, "word": " لكن", "probability": 0.8935546875}, {"start": 2287.43, "end": 2287.97, "word": " قعدت", "probability": 0.6560872395833334}, {"start": 2287.97, "end": 2288.35, "word": " صيغته", "probability": 0.84765625}, {"start": 2288.35, "end": 2290.31, "word": " بطريقة", "probability": 0.9775390625}, {"start": 2290.31, "end": 2291.19, "word": " اخرى", "probability": 0.8359375}, {"start": 2291.19, "end": 2291.99, "word": " نعطي", "probability": 0.8695068359375}, {"start": 2291.99, "end": 2292.49, "word": " مثال", "probability": 0.989501953125}, {"start": 2292.49, "end": 2293.73, "word": " اخر", "probability": 0.833251953125}, {"start": 2293.73, "end": 2295.79, "word": " كمان", "probability": 0.7945963541666666}, {"start": 2295.79, "end": 2296.51, "word": " example", "probability": 0.8525390625}, {"start": 2296.51, "end": 2300.27, "word": " ال", "probability": 0.5654296875}, {"start": 2300.27, "end": 2300.69, "word": " example", "probability": 0.9345703125}, {"start": 2300.69, "end": 2300.89, "word": " يا", "probability": 0.931640625}, {"start": 2300.89, "end": 2301.21, "word": " شباب", "probability": 0.9803059895833334}, {"start": 2301.21, "end": 2301.49, "word": " هذا", "probability": 0.861328125}, {"start": 2301.49, "end": 2302.29, "word": " سؤال", "probability": 0.9705403645833334}, {"start": 2302.29, "end": 2302.81, "word": " 14", "probability": 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{"start": 2355.85, "end": 2357.59, "word": " لل", "probability": 0.9443359375}, {"start": 2357.59, "end": 2358.05, "word": " G", "probability": 0.9619140625}, {"start": 2358.05, "end": 2358.77, "word": " هو", "probability": 0.9609375}, {"start": 2358.77, "end": 2359.45, "word": " اربع", "probability": 0.7581380208333334}, {"start": 2359.45, "end": 2359.85, "word": " مية", "probability": 0.80615234375}, {"start": 2359.85, "end": 2360.89, "word": " وعشرين", "probability": 0.878173828125}, {"start": 2360.89, "end": 2363.15, "word": " what", "probability": 0.2744140625}], "temperature": 1.0}, {"id": 100, "seek": 237719, "start": 2364.41, "end": 2377.19, "text": "are the possible orders of H", "tokens": [543, 264, 1944, 9470, 295, 389], "avg_logprob": -0.3482142857142857, "compression_ratio": 0.7777777777777778, "no_speech_prob": 0.0, "words": [{"start": 2364.41, "end": 2365.17, "word": "are", "probability": 0.2137451171875}, {"start": 2365.17, "end": 2367.15, "word": " the", "probability": 0.8642578125}, {"start": 2367.15, "end": 2368.21, "word": " possible", "probability": 0.96923828125}, {"start": 2368.21, "end": 2368.99, "word": " orders", "probability": 0.9091796875}, {"start": 2368.99, "end": 2375.73, "word": " of", "probability": 0.64208984375}, {"start": 2375.73, "end": 2377.19, "word": " H", "probability": 0.927734375}], "temperature": 1.0}, {"id": 101, "seek": 243175, "start": 2406.27, "end": 2431.75, "text": "مرة تانية انا عندي K proper subgroup من H ايش يعني proper subgroup؟ لأ تساوي H subset منها لكن لا تساويها وعندي في نفس الوقت ال H proper subgroup من G يعني K subgroup من H و ال H subgroup من G وكل واحدة فيهم عبارة عن ال proper يعني لا تساوي الجروب التاني", "tokens": [2304, 25720, 6055, 7649, 10632, 1975, 8315, 18871, 16254, 591, 2296, 1422, 17377, 9154, 389, 1975, 1829, 8592, 37495, 22653, 2296, 1422, 17377, 22807, 5296, 10721, 6055, 3794, 995, 45865, 389, 25993, 9154, 11296, 44381, 20193, 6055, 3794, 995, 45865, 11296, 4032, 3615, 1863, 16254, 8978, 8717, 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"end": 2449.16, "text": "قال لو كان ال order ل K الأولى هو اتنين واربعين وال order ل الأخرى أربع مائة وعشرين ما هي الاحتمالات الممكنة لل order تبع ال H فنقوله ماشي يبقى هنا solution", "tokens": [4587, 6027, 45164, 25961, 2423, 1668, 5296, 591, 16247, 12610, 7578, 31439, 1975, 2655, 1863, 9957, 4032, 9640, 3555, 3615, 9957, 16070, 1668, 5296, 16247, 34740, 7578, 5551, 25513, 3615, 3714, 16373, 3660, 4032, 3615, 46309, 9957, 19446, 39896, 42963, 33753, 2304, 6027, 9307, 9673, 43020, 3660, 24976, 1668, 6055, 3555, 3615, 2423, 389, 6156, 1863, 39648, 3224, 3714, 33599, 1829, 7251, 3555, 4587, 7578, 34105, 3827], "avg_logprob": -0.3219209607033169, "compression_ratio": 1.5900621118012421, "no_speech_prob": 0.0, "words": [{"start": 2432.38, "end": 2432.82, "word": "قال", "probability": 0.54168701171875}, {"start": 2432.82, "end": 2433.08, "word": " لو", "probability": 0.546875}, {"start": 2433.08, "end": 2433.42, "word": " كان", "probability": 0.884765625}, {"start": 2433.42, "end": 2433.6, 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"end": 2638.06, "word": " هذه", "probability": 0.90673828125}, {"start": 2638.06, "end": 2638.64, "word": " وكتبت", "probability": 0.9294921875}, {"start": 2638.64, "end": 2639.38, "word": " بدلها", "probability": 0.8673502604166666}, {"start": 2639.38, "end": 2640.0, "word": " S", "probability": 0.93212890625}, {"start": 2640.0, "end": 2640.24, "word": " في", "probability": 0.92724609375}, {"start": 2640.24, "end": 2641.04, "word": " اتنين", "probability": 0.9725341796875}, {"start": 2641.04, "end": 2642.06, "word": " واربعين", "probability": 0.979296875}], "temperature": 1.0}, {"id": 111, "seek": 266127, "start": 2642.55, "end": 2661.27, "text": "تمام طيب في قسم ما بين الطرفين اه يبقى لو جسمت كله على اتنين واربعين هذا بدي يعطيني R S تساوي عشرة مدام عشرة احتمال ال R بواحد وال S بعشرة", "tokens": [39237, 10943, 23032, 1829, 3555, 8978, 12174, 38251, 19446, 49374, 41950, 28480, 9957, 1975, 3224, 7251, 3555, 4587, 7578, 45164, 10874, 38251, 2655, 28242, 3224, 15844, 1975, 2655, 1863, 9957, 4032, 9640, 3555, 3615, 9957, 23758, 4724, 16254, 37495, 9566, 1829, 22653, 497, 318, 6055, 3794, 995, 45865, 6225, 8592, 25720, 3714, 3215, 10943, 6225, 8592, 25720, 1975, 33753, 2304, 6027, 2423, 497, 4724, 14407, 24401, 16070, 318, 4724, 3615, 8592, 25720], "avg_logprob": -0.24636129483784716, "compression_ratio": 1.6689655172413793, "no_speech_prob": 0.0, "words": [{"start": 2642.55, "end": 2643.11, "word": "تمام", "probability": 0.54132080078125}, {"start": 2643.11, "end": 2644.11, "word": " طيب", "probability": 0.7880045572916666}, {"start": 2644.11, "end": 2644.31, "word": " في", "probability": 0.64111328125}, {"start": 2644.31, "end": 2644.73, "word": " قسم", "probability": 0.982177734375}, {"start": 2644.73, "end": 2644.93, "word": " ما", "probability": 0.79736328125}, {"start": 2644.93, "end": 2645.19, "word": " بين", "probability": 0.9912109375}, {"start": 2645.19, "end": 2645.97, "word": " الطرفين", "probability": 0.9529622395833334}, {"start": 2645.97, "end": 2647.43, "word": " اه", "probability": 0.5526123046875}, {"start": 2647.43, "end": 2648.15, "word": " يبقى", "probability": 0.9490966796875}, {"start": 2648.15, "end": 2648.31, "word": " لو", "probability": 0.88330078125}, {"start": 2648.31, "end": 2648.85, "word": " جسمت", "probability": 0.9375}, {"start": 2648.85, "end": 2649.19, "word": " كله", "probability": 0.965576171875}, {"start": 2649.19, "end": 2649.41, "word": " على", "probability": 0.84521484375}, {"start": 2649.41, "end": 2649.85, "word": " اتنين", "probability": 0.87646484375}, {"start": 2649.85, "end": 2650.73, "word": " واربعين", "probability": 0.8984375}, {"start": 2650.73, "end": 2651.37, "word": " هذا", "probability": 0.826171875}, {"start": 2651.37, "end": 2651.77, "word": " بدي", "probability": 0.561767578125}, {"start": 2651.77, "end": 2652.43, "word": " يعطيني", "probability": 0.7506103515625}, {"start": 2652.43, "end": 2652.97, "word": " R", "probability": 0.1993408203125}, {"start": 2652.97, "end": 2653.47, "word": " S", "probability": 0.79638671875}, {"start": 2653.47, "end": 2654.09, "word": " تساوي", "probability": 0.8673095703125}, {"start": 2654.09, "end": 2656.05, "word": " عشرة", "probability": 0.7403971354166666}, {"start": 2656.05, "end": 2657.55, "word": " مدام", "probability": 0.72509765625}, {"start": 2657.55, "end": 2658.09, "word": " عشرة", "probability": 0.9444986979166666}, {"start": 2658.09, "end": 2658.91, "word": " احتمال", "probability": 0.9437255859375}, {"start": 2658.91, "end": 2659.07, "word": " ال", "probability": 0.9326171875}, {"start": 2659.07, "end": 2659.35, "word": " R", "probability": 0.7587890625}, {"start": 2659.35, "end": 2659.97, "word": " بواحد", "probability": 0.9674479166666666}, {"start": 2659.97, "end": 2660.25, "word": " وال", "probability": 0.42822265625}, {"start": 2660.25, "end": 2660.59, "word": " S", "probability": 0.83544921875}, {"start": 2660.59, "end": 2661.27, "word": " بعشرة", "probability": 0.8907470703125}], "temperature": 1.0}, {"id": 112, "seek": 269028, "start": 2662.28, "end": 2690.28, "text": "احتمال ان S بواحد وR بعشرة احتمال R بخمسة وS باتنين احتمال R باتنين وS بخمسة هي الاحتمالات الأربعة في غيرهم؟ لأ يبقى هنا so we have four possibilities four", "tokens": [995, 33753, 2304, 6027, 16472, 318, 4724, 14407, 24401, 4032, 49, 4724, 3615, 8592, 25720, 1975, 33753, 2304, 6027, 497, 4724, 9778, 2304, 3794, 3660, 4032, 50, 4724, 9307, 1863, 9957, 1975, 33753, 2304, 6027, 497, 4724, 9307, 1863, 9957, 4032, 50, 4724, 9778, 2304, 3794, 3660, 39896, 42963, 33753, 2304, 6027, 9307, 16247, 25513, 27884, 8978, 32771, 13546, 16095, 22807, 5296, 10721, 7251, 3555, 4587, 7578, 34105, 370, 321, 362, 1451, 12178, 1451], "avg_logprob": -0.22020833532015482, "compression_ratio": 1.5569620253164558, "no_speech_prob": 0.0, "words": [{"start": 2662.28, "end": 2663.32, "word": "احتمال", "probability": 0.80303955078125}, {"start": 2663.32, "end": 2664.02, "word": " ان", "probability": 0.75537109375}, {"start": 2664.02, "end": 2664.66, "word": " S", "probability": 0.495849609375}, {"start": 2664.66, "end": 2667.2, "word": " بوا��د", "probability": 0.787109375}, {"start": 2667.2, "end": 2667.88, "word": " وR", "probability": 0.4906005859375}, {"start": 2667.88, "end": 2668.92, "word": " بعشرة", "probability": 0.829833984375}, {"start": 2668.92, "end": 2670.44, "word": " احتمال", "probability": 0.95849609375}, {"start": 2670.44, "end": 2670.72, "word": " R", "probability": 0.484130859375}, {"start": 2670.72, "end": 2671.46, "word": " بخمسة", "probability": 0.94306640625}, {"start": 2671.46, "end": 2671.92, "word": " وS", "probability": 0.831787109375}, {"start": 2671.92, "end": 2672.64, "word": " باتنين", "probability": 0.874267578125}, {"start": 2672.64, "end": 2673.86, "word": " احتمال", "probability": 0.96337890625}, {"start": 2673.86, "end": 2674.12, "word": " R", "probability": 0.85498046875}, {"start": 2674.12, "end": 2674.64, "word": " باتنين", "probability": 0.8421630859375}, {"start": 2674.64, "end": 2674.98, "word": " وS", "probability": 0.939208984375}, {"start": 2674.98, "end": 2675.48, "word": " بخمسة", "probability": 0.98115234375}, {"start": 2675.48, "end": 2675.66, "word": " هي", "probability": 0.32666015625}, {"start": 2675.66, "end": 2676.28, "word": " الاحتمالات", "probability": 0.8890625}, {"start": 2676.28, "end": 2676.58, "word": " الأربعة", "probability": 0.7637532552083334}, {"start": 2676.58, "end": 2676.76, "word": " في", "probability": 0.290771484375}, {"start": 2676.76, "end": 2677.94, "word": " غيرهم؟", "probability": 0.8323974609375}, {"start": 2677.94, "end": 2680.82, "word": " لأ", "probability": 0.837890625}, {"start": 2680.82, "end": 2681.56, "word": " يبقى", "probability": 0.9666748046875}, {"start": 2681.56, "end": 2682.0, "word": " هنا", "probability": 0.9931640625}, {"start": 2682.0, "end": 2682.84, "word": " so", "probability": 0.2919921875}, {"start": 2682.84, "end": 2684.24, "word": " we", "probability": 0.87451171875}, {"start": 2684.24, "end": 2685.5, "word": " have", "probability": 0.9716796875}, {"start": 2685.5, "end": 2688.04, "word": " four", "probability": 0.90478515625}, {"start": 2688.04, "end": 2688.88, "word": " possibilities", "probability": 0.89306640625}, {"start": 2688.88, "end": 2690.28, "word": " four", "probability": 0.73095703125}], "temperature": 1.0}, {"id": 113, "seek": 270785, "start": 2697.39, "end": 2707.85, "text": "أربعة احتمالات الاحتمال الأول ان الار تساوي واحد والاس تساوي عشرة", "tokens": [10721, 25513, 27884, 1975, 33753, 2304, 6027, 9307, 42963, 33753, 2304, 6027, 16247, 12610, 16472, 2423, 9640, 6055, 3794, 995, 45865, 36764, 24401, 16070, 32277, 6055, 3794, 995, 45865, 6225, 8592, 25720], "avg_logprob": -0.3241003787878788, "compression_ratio": 1.518987341772152, "no_speech_prob": 0.0, "words": [{"start": 2697.39, "end": 2698.79, "word": "أربعة", "probability": 0.4353434244791667}, {"start": 2698.79, "end": 2699.47, "word": " احتمالات", "probability": 0.93505859375}, {"start": 2699.47, "end": 2700.77, "word": " الاحتمال", "probability": 0.76141357421875}, {"start": 2700.77, "end": 2701.55, "word": " الأول", "probability": 0.8115234375}, {"start": 2701.55, "end": 2702.59, "word": " ان", "probability": 0.61767578125}, {"start": 2702.59, "end": 2703.75, "word": " الار", "probability": 0.521484375}, {"start": 2703.75, "end": 2704.51, "word": " تساوي", "probability": 0.8944091796875}, {"start": 2704.51, "end": 2705.11, "word": " واحد", "probability": 0.9736328125}, {"start": 2705.11, "end": 2706.27, "word": " والاس", "probability": 0.676513671875}, {"start": 2706.27, "end": 2707.23, "word": " تساوي", "probability": 0.911865234375}, {"start": 2707.23, "end": 2707.85, "word": " عشرة", "probability": 0.8639322916666666}], "temperature": 1.0}, {"id": 114, "seek": 273131, "start": 2709.01, "end": 2731.31, "text": "هل هذا الكلام ممكن؟ والله مش ممكن الحين لو ال S وتعشرة يبقى ال M كده؟ 420 ممكن هذا الكلام؟ يتناقض مع كلمة proper تمام يبقى هذا this is impossible", "tokens": [3224, 1211, 23758, 2423, 28820, 10943, 3714, 43020, 22807, 16070, 43761, 37893, 3714, 43020, 21542, 9957, 45164, 2423, 318, 4032, 2655, 3615, 8592, 25720, 7251, 3555, 4587, 7578, 2423, 376, 9122, 3215, 3224, 22807, 1017, 2009, 3714, 43020, 23758, 2423, 28820, 10943, 22807, 7251, 2655, 8315, 4587, 11242, 20449, 9122, 19528, 3660, 2296, 46811, 10943, 7251, 3555, 4587, 7578, 23758, 341, 307, 6243], "avg_logprob": -0.30908202566206455, "compression_ratio": 1.4625, "no_speech_prob": 0.0, "words": [{"start": 2709.01, "end": 2709.99, "word": "هل", "probability": 0.5445556640625}, {"start": 2709.99, "end": 2710.27, "word": " هذا", "probability": 0.77099609375}, {"start": 2710.27, "end": 2710.79, "word": " الكلام", "probability": 0.8347981770833334}, {"start": 2710.79, "end": 2711.47, "word": " ممكن؟", "probability": 0.7931315104166666}, {"start": 2711.47, "end": 2711.77, "word": " والله", "probability": 0.7027587890625}, {"start": 2711.77, "end": 2711.99, "word": " مش", "probability": 0.5361328125}, {"start": 2711.99, "end": 2712.51, "word": " ممكن", "probability": 0.987060546875}, {"start": 2712.51, "end": 2713.45, "word": " الحين", "probability": 0.508056640625}, {"start": 2713.45, "end": 2713.65, "word": " لو", "probability": 0.75048828125}, {"start": 2713.65, "end": 2713.83, "word": " ال", "probability": 0.86279296875}, {"start": 2713.83, "end": 2714.21, "word": " S", "probability": 0.3623046875}, {"start": 2714.21, "end": 2715.39, "word": " وتعشرة", "probability": 0.5341064453125}, {"start": 2715.39, "end": 2716.23, "word": " يبقى", "probability": 0.9150390625}, {"start": 2716.23, "end": 2716.33, "word": " ال", "probability": 0.80615234375}, {"start": 2716.33, "end": 2716.53, "word": " M", "probability": 0.8916015625}, {"start": 2716.53, "end": 2717.55, "word": " كده؟", "probability": 0.5699462890625}, {"start": 2717.55, "end": 2719.61, "word": " 420", "probability": 0.745849609375}, {"start": 2719.61, "end": 2720.05, "word": " ممكن", "probability": 0.90966796875}, {"start": 2720.05, "end": 2720.31, "word": " هذا", "probability": 0.94384765625}, {"start": 2720.31, "end": 2720.87, "word": " الكلام؟", "probability": 0.8759765625}, {"start": 2720.87, "end": 2721.95, "word": " يتناقض", "probability": 0.9751953125}, {"start": 2721.95, "end": 2722.15, "word": " مع", "probability": 0.98828125}, {"start": 2722.15, "end": 2722.89, "word": " كلمة", "probability": 0.9749348958333334}, {"start": 2722.89, "end": 2723.81, "word": " proper", "probability": 0.91943359375}, {"start": 2723.81, "end": 2724.79, "word": " تمام", "probability": 0.890380859375}, {"start": 2724.79, "end": 2726.07, "word": " يبقى", "probability": 0.85089111328125}, {"start": 2726.07, "end": 2726.67, "word": " هذا", "probability": 0.9736328125}, {"start": 2726.67, "end": 2727.73, "word": " this", "probability": 0.373046875}, {"start": 2727.73, "end": 2728.61, "word": " is", "probability": 0.96337890625}, {"start": 2728.61, "end": 2731.31, "word": " impossible", "probability": 0.728515625}], "temperature": 1.0}, {"id": 115, "seek": 275713, "start": 2733.85, "end": 2757.13, "text": "هذا غير ممكن السبب because ان ال H is proper subgroup من G لان على الجهة ده مش ممكن ممكن العكس نقطة ثانية ان ال R تساوي عشرة و ال S تساوي واحد", "tokens": [3224, 15730, 32771, 13546, 3714, 43020, 21136, 3555, 3555, 570, 16472, 2423, 389, 307, 2296, 1422, 17377, 9154, 460, 5296, 7649, 15844, 25724, 3224, 3660, 11778, 3224, 37893, 3714, 43020, 3714, 43020, 18863, 4117, 3794, 8717, 47432, 3660, 38637, 7649, 10632, 16472, 2423, 497, 6055, 3794, 995, 45865, 6225, 8592, 25720, 4032, 2423, 318, 6055, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.29738730094471916, "compression_ratio": 1.4705882352941178, "no_speech_prob": 0.0, "words": [{"start": 2733.85, "end": 2734.37, "word": "هذا", "probability": 0.853515625}, {"start": 2734.37, "end": 2735.03, "word": " غير", "probability": 0.9560546875}, {"start": 2735.03, "end": 2735.51, "word": " ممكن", "probability": 0.97607421875}, {"start": 2735.51, "end": 2736.47, "word": " السبب", "probability": 0.7552897135416666}, {"start": 2736.47, "end": 2738.65, "word": " because", "probability": 0.1552734375}, {"start": 2738.65, "end": 2740.19, "word": " ان", "probability": 0.548828125}, {"start": 2740.19, "end": 2740.53, "word": " ال", "probability": 0.90478515625}, {"start": 2740.53, "end": 2740.91, "word": " H", "probability": 0.1610107421875}, {"start": 2740.91, "end": 2742.27, "word": " is", "probability": 0.50830078125}, {"start": 2742.27, "end": 2743.19, "word": " proper", "probability": 0.9208984375}, {"start": 2743.19, "end": 2745.71, "word": " subgroup", "probability": 0.575439453125}, {"start": 2745.71, "end": 2745.99, "word": " من", "probability": 0.9833984375}, {"start": 2745.99, "end": 2746.21, "word": " G", "probability": 0.64990234375}, {"start": 2746.21, "end": 2746.57, "word": " لان", "probability": 0.5865478515625}, {"start": 2746.57, "end": 2746.69, "word": " على", "probability": 0.33349609375}, {"start": 2746.69, 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{"start": 2753.65, "end": 2754.55, "word": " عشرة", "probability": 0.9163411458333334}, {"start": 2754.55, "end": 2755.21, "word": " و", "probability": 0.5068359375}, {"start": 2755.21, "end": 2755.47, "word": " ال", "probability": 0.73681640625}, {"start": 2755.47, "end": 2755.89, "word": " S", "probability": 0.984375}, {"start": 2755.89, "end": 2756.69, "word": " تساوي", "probability": 0.975830078125}, {"start": 2756.69, "end": 2757.13, "word": " واحد", "probability": 0.979736328125}], "temperature": 1.0}, {"id": 116, "seek": 278568, "start": 2758.44, "end": 2785.68, "text": "تمام؟ طب بدنا نأتي إلى ال S تساوي واحد لو ال S سوى واحد يبقى ال M قداش؟ يعني قد مين؟ قد K ال H صارت قد K مظبوط و هذا كلام غلط لأن احنا نقولين K proper يبقى برضه هذا this is impossible because capital K is proper", "tokens": [2655, 15042, 2304, 22807, 23032, 3555, 47525, 8315, 8717, 10721, 31371, 30731, 2423, 318, 6055, 3794, 995, 45865, 36764, 24401, 45164, 2423, 318, 8608, 2407, 7578, 36764, 24401, 7251, 3555, 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"temperature": 1.0}, {"id": 118, "seek": 283100, "start": 2802.38, "end": 2831.0, "text": "طيب لو حطيت ال S هنا بخمسة بصير هدول كده؟ 210 ممكن؟ اه ممكن مافيش مشكلة يبقى هنا ال R سواء S then ال M بدها تساوي ال S لخمسة في اتنين واربعين واللي هو بده يساوي متين وعشر خمسة في اتنين بعشر وخمسة في اربع باشرين واحد واحد", "tokens": [9566, 1829, 3555, 45164, 11331, 9566, 36081, 2423, 318, 34105, 4724, 9778, 2304, 3794, 3660, 4724, 9381, 13546, 8032, 3215, 12610, 9122, 3215, 3224, 22807, 42692, 3714, 43020, 22807, 1975, 3224, 3714, 43020, 19446, 41185, 8592, 37893, 28820, 3660, 7251, 3555, 4587, 7578, 34105, 2423, 497, 8608, 2407, 16606, 318, 550, 2423, 376, 47525, 11296, 6055, 3794, 995, 45865, 2423, 318, 5296, 9778, 2304, 3794, 3660, 8978, 1975, 2655, 1863, 9957, 4032, 9640, 3555, 3615, 9957, 16070, 20292, 31439, 47525, 3224, 7251, 3794, 995, 45865, 44650, 9957, 4032, 3615, 46309, 16490, 2304, 3794, 3660, 8978, 1975, 2655, 1863, 9957, 4724, 3615, 46309, 4032, 9778, 2304, 3794, 3660, 8978, 1975, 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"word": " عشرين", "probability": 0.890625}, {"start": 2832.22, "end": 2832.94, "word": " تمام", "probability": 0.78515625}, {"start": 2832.94, "end": 2833.7, "word": " هذا", "probability": 0.76708984375}, {"start": 2833.7, "end": 2833.88, "word": " لو", "probability": 0.9306640625}, {"start": 2833.88, "end": 2834.38, "word": " كانت", "probability": 0.920654296875}, {"start": 2834.38, "end": 2834.54, "word": " ال", "probability": 0.89111328125}, {"start": 2834.54, "end": 2834.94, "word": " S", "probability": 0.430419921875}, {"start": 2834.94, "end": 2836.18, "word": " بخمسة", "probability": 0.96171875}, {"start": 2836.18, "end": 2836.38, "word": " وال", "probability": 0.712890625}, {"start": 2836.38, "end": 2836.66, "word": " R", "probability": 0.57861328125}, {"start": 2836.66, "end": 2837.22, "word": " باتنين", "probability": 0.842041015625}, {"start": 2837.22, "end": 2838.52, "word": " الاحتمال", "probability": 0.929443359375}, {"start": 2838.52, "end": 2839.44, "word": " الرابع", 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