diff --git "a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/TTuKgG0leug_raw.json" "b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/TTuKgG0leug_raw.json"
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@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4637, "start": 21.09, "end": 46.37, "text": "السلام عليكم و رحمة الله و بركاته باسم الله أحمد أحيم طبعا بنراحل فيكم مرة تانية مستكملة لمحاضراتنا و كل عامة بخير مناسبة العيد ان شاء الله خلافه هتذكر ان شاء الله بس بسرعة الأخر محاضرة قبل العيد كان كنا بنتكلم عن نظرية اسمها ال fundamental theorem of cyclic groups طبعا كان فيها تلت", "tokens": [6027, 3794, 37440, 25894, 24793, 4032, 12602, 35571, 3660, 21984, 4032, 4724, 31747, 9307, 3224, 4724, 32277, 2304, 21984, 5551, 35571, 3215, 5551, 5016, 32640, 23032, 3555, 3615, 995, 44945, 23557, 5016, 1211, 8978, 24793, 3714, 25720, 6055, 7649, 10632, 3714, 14851, 24793, 37977, 32767, 5016, 46958, 2288, 9307, 8315, 4032, 28242, 6225, 10943, 3660, 4724, 9778, 13546, 3714, 8315, 35457, 3660, 18863, 25708, 16472, 13412, 16606, 21984, 16490, 15040, 5172, 3224, 8032, 2655, 8848, 37983, 16472, 13412, 16606, 21984, 4724, 3794, 4724, 3794, 2288, 27884, 16247, 34740, 3714, 5016, 46958, 25720, 12174, 36150, 18863, 25708, 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"end": 68.02, "word": " group", "probability": 0.9580078125}, {"start": 68.02, "end": 68.2, "word": " في", "probability": 0.78564453125}, {"start": 68.2, "end": 68.52, "word": " حالة", "probability": 0.9514973958333334}, {"start": 68.52, "end": 68.8, "word": " طبعا", "probability": 0.8804931640625}, {"start": 68.8, "end": 68.92, "word": " ال", "probability": 0.76416015625}, {"start": 68.92, "end": 69.38, "word": " cyclic", "probability": 0.8603515625}, {"start": 69.38, "end": 69.88, "word": " group", "probability": 0.98876953125}, {"start": 69.88, "end": 70.6, "word": " الشغل", "probability": 0.6803385416666666}, {"start": 70.6, "end": 71.22, "word": " التالتة", "probability": 0.8897705078125}, {"start": 71.22, "end": 71.6, "word": " لو", "probability": 0.86767578125}, {"start": 71.6, "end": 71.84, "word": " كان", "probability": 0.9775390625}, {"start": 71.84, "end": 72.12, "word": " عندي", "probability": 0.913818359375}, {"start": 72.12, "end": 72.86, "word": " قاسم", "probability": 0.8756510416666666}, {"start": 72.86, "end": 73.18, "word": " لل", "probability": 0.9306640625}, {"start": 73.18, "end": 73.68, "word": " order", "probability": 0.97998046875}], "temperature": 1.0}, {"id": 3, "seek": 10241, "start": 74.33, "end": 102.41, "text": "لأ الجروب او الـ cyclic group انا بقدر عليها جيونيكسة بالجروب داخل الـ cyclic group و بيكون لها نفس ال order هناخد مثال سريع في هذه الجزئية هنقول التالي example let j generated by a with order ال a", "tokens": [1211, 10721, 25724, 32887, 3555, 1975, 2407, 2423, 39184, 38154, 1050, 1594, 1975, 8315, 4724, 28543, 2288, 25894, 11296, 10874, 1829, 11536, 1829, 4117, 3794, 3660, 20666, 7435, 32887, 3555, 11778, 47283, 1211, 2423, 39184, 38154, 1050, 1594, 4032, 4724, 1829, 30544, 5296, 11296, 8717, 36178, 2423, 1668, 8032, 1863, 47283, 3215, 50113, 6027, 8608, 16572, 3615, 8978, 29538, 25724, 11622, 19986, 10632, 8032, 1863, 39648, 16712, 6027, 1829, 1365, 718, 361, 10833, 538, 257, 365, 1668, 2423, 257], "avg_logprob": 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"word": " سريع", "probability": 0.8935546875}, {"start": 85.57, "end": 86.31, "word": " في", "probability": 0.876953125}, {"start": 86.31, "end": 86.77, "word": " هذه", "probability": 0.95166015625}, {"start": 86.77, "end": 88.79, "word": " الجزئية", "probability": 0.9447021484375}, {"start": 88.79, "end": 89.57, "word": " هنقول", "probability": 0.7058919270833334}, {"start": 89.57, "end": 90.27, "word": " التالي", "probability": 0.9202473958333334}, {"start": 90.27, "end": 92.01, "word": " example", "probability": 0.70556640625}, {"start": 92.01, "end": 94.63, "word": " let", "probability": 0.783203125}, {"start": 94.63, "end": 95.43, "word": " j", "probability": 0.53173828125}, {"start": 95.43, "end": 96.65, "word": " generated", "probability": 0.77880859375}, {"start": 96.65, "end": 97.03, "word": " by", "probability": 0.908203125}, {"start": 97.03, "end": 97.43, "word": " a", "probability": 0.8583984375}, {"start": 97.43, "end": 99.15, "word": " with", "probability": 0.90234375}, {"start": 99.15, "end": 101.83, "word": " order", "probability": 0.92919921875}, {"start": 101.83, "end": 102.11, "word": " ال", "probability": 0.39111328125}, {"start": 102.11, "end": 102.41, "word": " a", "probability": 0.6396484375}], "temperature": 1.0}, {"id": 4, "seek": 13307, "start": 104.51, "end": 133.07, "text": "بساوة تلاتين المطلوب list all subgroups of G عندي group Cyclic الـ all ضاقينها تلاتين المطلوب مني أجيب كل group Cyclic من الـ G تعالوا نشوف قليل الحل قبل أن نبدأ الحل", "tokens": [3555, 3794, 995, 2407, 3660, 6055, 1211, 9307, 9957, 9673, 9566, 1211, 37746, 1329, 439, 1422, 17377, 82, 295, 460, 18871, 16254, 1594, 10295, 66, 1050, 2423, 39184, 439, 48812, 995, 4587, 9957, 11296, 6055, 1211, 9307, 9957, 9673, 9566, 1211, 37746, 9154, 1829, 5551, 7435, 1829, 3555, 28242, 1594, 10295, 66, 1050, 9154, 2423, 39184, 460, 37279, 6027, 14407, 8717, 8592, 38688, 12174, 20292, 1211, 21542, 1211, 12174, 36150, 14739, 8717, 44510, 10721, 21542, 1211], "avg_logprob": -0.38534901204047267, "compression_ratio": 1.5421686746987953, "no_speech_prob": 0.0, "words": [{"start": 104.51, "end": 105.09, "word": "بساوة", "probability": 0.722802734375}, {"start": 105.09, "end": 105.61, "word": " تلاتين", "probability": 0.8404541015625}, {"start": 105.61, "end": 106.99, "word": " المطلوب", "probability": 0.8641357421875}, {"start": 106.99, "end": 108.07, "word": " list", "probability": 0.35986328125}, {"start": 108.07, "end": 110.79, "word": " all", "probability": 0.76025390625}, {"start": 110.79, "end": 115.77, "word": " subgroups", "probability": 0.8479817708333334}, {"start": 115.77, "end": 116.11, "word": " of", "probability": 0.88818359375}, {"start": 116.11, "end": 117.27, "word": " G", "probability": 0.36767578125}, {"start": 117.27, "end": 120.75, "word": " عندي", "probability": 0.803466796875}, {"start": 120.75, "end": 120.99, "word": " group", "probability": 0.763671875}, {"start": 120.99, "end": 121.25, "word": " Cyclic", "probability": 0.5761006673177084}, {"start": 121.25, "end": 122.07, "word": " الـ", "probability": 0.2886962890625}, {"start": 122.07, "end": 122.19, "word": " all", "probability": 0.309814453125}, {"start": 122.19, "end": 122.61, "word": " ضاقينها", "probability": 0.5388671875}, {"start": 122.61, "end": 123.19, "word": " تلاتين", "probability": 0.95263671875}, {"start": 123.19, "end": 124.21, "word": " المطلوب", "probability": 0.9249267578125}, {"start": 124.21, "end": 124.63, "word": " مني", "probability": 0.725830078125}, {"start": 124.63, "end": 125.31, "word": " أجيب", "probability": 0.879150390625}, {"start": 125.31, "end": 126.15, "word": " كل", "probability": 0.8349609375}, {"start": 126.15, "end": 126.59, "word": " group", "probability": 0.17724609375}, {"start": 126.59, "end": 127.17, "word": " Cyclic", "probability": 0.8702799479166666}, {"start": 127.17, "end": 128.65, "word": " من", "probability": 0.89111328125}, {"start": 128.65, "end": 129.27, "word": " الـ", "probability": 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430.32, "word": " فهذا", "probability": 0.5641276041666666}, {"start": 430.32, "end": 430.72, "word": " هيساوى", "probability": 0.539208984375}, {"start": 430.72, "end": 430.84, "word": " ال", "probability": 0.9345703125}, {"start": 430.84, "end": 431.4, "word": " identity", "probability": 0.77099609375}, {"start": 431.4, "end": 432.2, "word": " a", "probability": 0.52490234375}, {"start": 432.2, "end": 433.04, "word": " والثلاثة", "probability": 0.7535400390625}, {"start": 433.04, "end": 433.64, "word": " a", "probability": 0.6259765625}, {"start": 433.64, "end": 434.38, "word": " والستة", "probability": 0.92431640625}, {"start": 434.38, "end": 434.9, "word": " a", "probability": 0.9462890625}, {"start": 434.9, "end": 436.06, "word": " والتسعة", "probability": 0.9639892578125}, {"start": 436.06, "end": 436.74, "word": " لعند", "probability": 0.8274739583333334}, {"start": 436.74, "end": 436.98, "word": " a", "probability": 0.96337890625}, {"start": 436.98, "end": 437.4, "word": " والسبعة", "probability": 0.9090169270833334}, {"start": 437.4, "end": 437.98, "word": " وعشرين", "probability": 0.9248046875}, {"start": 437.98, "end": 438.64, "word": " و", "probability": 0.73974609375}, {"start": 438.64, "end": 439.22, "word": " اتش", "probability": 0.7994791666666666}, {"start": 439.22, "end": 441.32, "word": " خمستائش", "probability": 0.7337890625}, {"start": 441.32, "end": 442.94, "word": " هصير", "probability": 0.7513020833333334}, {"start": 442.94, "end": 443.24, "word": " a", "probability": 0.57373046875}, {"start": 443.24, "end": 444.2, "word": " a", "probability": 0.6171875}, {"start": 444.2, "end": 444.74, "word": " التربية", "probability": 0.6480305989583334}, {"start": 444.74, "end": 445.58, "word": " a", "probability": 0.96044921875}, {"start": 445.58, "end": 446.3, "word": " والاربعة", "probability": 0.78564453125}, {"start": 446.3, "end": 447.18, "word": " لعند", "probability": 0.9754231770833334}, {"start": 447.18, "end": 447.62, "word": " a", "probability": 0.97216796875}, {"start": 447.62, "end": 449.02, "word": " والتمانية", "probability": 0.670947265625}, {"start": 449.02, "end": 449.64, "word": " وعشرين", "probability": 0.8931884765625}], "temperature": 1.0}, {"id": 17, "seek": 48024, "start": 451.22, "end": 480.24, "text": "واخر واحدة H30 الى الـ generated by الـ A الى الـ G نفسها طبعا يكسر عندي listing لكل ال cyclic subgroup او لكل ال subgroup من ال group J اللي ال order لها بساوي 30 اي سؤال يا شباب؟ اي سؤال؟", "tokens": [2407, 47283, 2288, 36764, 24401, 3660, 389, 3446, 2423, 7578, 2423, 39184, 10833, 538, 2423, 39184, 316, 2423, 7578, 2423, 39184, 460, 8717, 36178, 11296, 23032, 3555, 3615, 995, 7251, 4117, 3794, 2288, 18871, 16254, 22161, 5296, 28820, 2423, 38154, 1050, 1422, 17377, 1975, 2407, 5296, 28820, 2423, 1422, 17377, 9154, 2423, 1594, 508, 13672, 1829, 2423, 1668, 5296, 11296, 4724, 3794, 995, 45865, 2217, 1975, 1829, 8608, 33604, 6027, 35186, 13412, 3555, 16758, 22807, 1975, 1829, 8608, 33604, 6027, 22807], "avg_logprob": -0.37423780996625017, "compression_ratio": 1.5053763440860215, "no_speech_prob": 0.0, "words": [{"start": 451.22, "end": 451.8, "word": "واخر", "probability": 0.6272786458333334}, {"start": 451.8, "end": 452.46, "word": " واحدة", "probability": 0.95703125}, {"start": 452.46, "end": 453.94, "word": " H30", "probability": 0.4412841796875}, {"start": 453.94, "end": 454.82, "word": " الى", "probability": 0.27447509765625}, {"start": 454.82, "end": 454.9, "word": " الـ", "probability": 0.2823486328125}, {"start": 454.9, "end": 455.32, "word": " generated", "probability": 0.350341796875}, {"start": 455.32, "end": 455.68, "word": " by", "probability": 0.8935546875}, {"start": 455.68, "end": 455.96, "word": " الـ", "probability": 0.739013671875}, {"start": 455.96, "end": 456.18, "word": " A", "probability": 0.63232421875}, {"start": 456.18, "end": 457.16, "word": " الى", "probability": 0.570068359375}, {"start": 457.16, "end": 457.32, "word": " الـ", "probability": 0.860107421875}, {"start": 457.32, "end": 457.62, "word": " G", "probability": 0.78466796875}, {"start": 457.62, "end": 459.7, "word": " نفسها", "probability": 0.7180989583333334}, {"start": 459.7, "end": 461.28, "word": " طبعا", "probability": 0.77069091796875}, {"start": 461.28, "end": 461.58, "word": " يكسر", "probability": 0.4564666748046875}, {"start": 461.58, "end": 461.84, "word": " عندي", "probability": 0.8798828125}, {"start": 461.84, "end": 462.4, "word": " listing", "probability": 0.85888671875}, {"start": 462.4, "end": 463.34, "word": " لكل", "probability": 0.92919921875}, {"start": 463.34, "end": 463.62, "word": " ال", "probability": 0.689453125}, {"start": 463.62, "end": 464.18, "word": " cyclic", "probability": 0.6220703125}, {"start": 464.18, "end": 464.9, "word": " subgroup", "probability": 0.7490234375}, {"start": 464.9, "end": 465.24, "word": " او", "probability": 0.7291259765625}, {"start": 465.24, "end": 465.52, "word": " لكل", "probability": 0.9052734375}, {"start": 465.52, "end": 465.66, "word": " ال", "probability": 0.865234375}, {"start": 465.66, "end": 466.28, "word": " subgroup", "probability": 0.90771484375}, {"start": 466.28, "end": 467.2, "word": " من", "probability": 0.9375}, {"start": 467.2, "end": 468.02, "word": " ال", "probability": 0.44970703125}, {"start": 468.02, "end": 468.36, "word": " group", "probability": 0.95263671875}, {"start": 468.36, "end": 468.68, "word": " J", "probability": 0.6396484375}, {"start": 468.68, "end": 468.94, "word": " اللي", "probability": 0.679931640625}, {"start": 468.94, "end": 469.04, "word": " ال", "probability": 0.748046875}, {"start": 469.04, "end": 469.32, "word": " order", "probability": 0.9541015625}, {"start": 469.32, "end": 470.16, "word": " لها", "probability": 0.7000732421875}, {"start": 470.16, "end": 471.04, "word": " بساوي", "probability": 0.83056640625}, {"start": 471.04, "end": 471.9, "word": " 30", "probability": 0.69677734375}, {"start": 471.9, "end": 472.6, "word": " اي", "probability": 0.6632080078125}, {"start": 472.6, "end": 472.86, "word": " سؤال", "probability": 0.9830729166666666}, {"start": 472.86, "end": 472.96, "word": " يا", "probability": 0.85693359375}, {"start": 472.96, "end": 475.16, "word": " شباب؟", "probability": 0.8358154296875}, {"start": 475.16, "end": 479.62, "word": " اي", "probability": 0.887451171875}, {"start": 479.62, "end": 480.24, "word": " سؤال؟", "probability": 0.972900390625}], "temperature": 1.0}, {"id": 18, "seek": 51313, "start": 483.65, "end": 513.13, "text": "طيب لو خلنا هذا نفس المثال لكن على group معروف ال generator إلها بشكل واضح يعني مش a كرقم لو قولنا مثلا find all subgroups of Z 13 إيش هنعمل؟", "tokens": [9566, 1829, 3555, 45164, 16490, 1211, 8315, 23758, 8717, 36178, 9673, 12984, 6027, 44381, 15844, 1594, 20449, 32887, 5172, 2423, 19265, 11933, 1211, 11296, 4724, 8592, 28820, 4032, 46958, 5016, 37495, 22653, 37893, 257, 9122, 2288, 4587, 2304, 45164, 12174, 12610, 8315, 50113, 15040, 915, 439, 1422, 17377, 82, 295, 1176, 3705, 11933, 1829, 8592, 8032, 1863, 25957, 1211, 22807], "avg_logprob": -0.1876280688848652, "compression_ratio": 1.3151515151515152, "no_speech_prob": 0.0, "words": [{"start": 483.65, "end": 484.21, "word": "طيب", "probability": 0.794189453125}, {"start": 484.21, "end": 484.59, "word": " لو", "probability": 0.73095703125}, {"start": 484.59, "end": 485.09, "word": " خلنا", "probability": 0.8800455729166666}, {"start": 485.09, "end": 487.07, "word": " هذا", "probability": 0.63427734375}, {"start": 487.07, "end": 487.41, "word": " نفس", "probability": 0.9921875}, {"start": 487.41, "end": 488.07, "word": " المثال", "probability": 0.9874674479166666}, {"start": 488.07, "end": 488.77, "word": " لكن", "probability": 0.84130859375}, {"start": 488.77, "end": 489.01, "word": " على", "probability": 0.78759765625}, {"start": 489.01, "end": 489.49, "word": " group", "probability": 0.86474609375}, {"start": 489.49, "end": 492.35, "word": " معروف", "probability": 0.9710286458333334}, {"start": 492.35, "end": 492.61, "word": " ال", "probability": 0.78125}, {"start": 492.61, "end": 493.03, "word": " generator", "probability": 0.966796875}, {"start": 493.03, "end": 493.57, "word": " إلها", "probability": 0.710693359375}, {"start": 493.57, "end": 495.23, "word": " بشكل", "probability": 0.97998046875}, {"start": 495.23, "end": 495.77, "word": " واضح", "probability": 0.9441731770833334}, {"start": 495.77, "end": 495.97, "word": " يعني", "probability": 0.839599609375}, {"start": 495.97, "end": 496.23, "word": " مش", "probability": 0.9443359375}, {"start": 496.23, "end": 496.53, "word": " a", "probability": 0.345703125}, {"start": 496.53, "end": 497.45, "word": " كرقم", "probability": 0.9727783203125}, {"start": 497.45, "end": 498.71, "word": " لو", "probability": 0.88623046875}, {"start": 498.71, "end": 499.01, "word": " قولنا", "probability": 0.7483723958333334}, {"start": 499.01, "end": 499.51, "word": " مثلا", "probability": 0.976806640625}, {"start": 499.51, "end": 502.31, "word": " find", "probability": 0.763671875}, {"start": 502.31, "end": 504.17, "word": " all", "probability": 0.93994140625}, {"start": 504.17, "end": 507.51, "word": " subgroups", "probability": 0.8888346354166666}, {"start": 507.51, "end": 508.39, "word": " of", "probability": 0.97265625}, {"start": 508.39, "end": 509.37, "word": " Z", "probability": 0.399658203125}, {"start": 509.37, "end": 510.07, "word": " 13", "probability": 0.269775390625}, {"start": 510.07, "end": 512.47, "word": " إيش", "probability": 0.7467447916666666}, {"start": 512.47, "end": 513.13, "word": " هنعمل؟", "probability": 0.964453125}], "temperature": 1.0}, {"id": 19, "seek": 54326, "start": 514.62, "end": 543.26, "text": "هنعمل نفس الفكرة اللي اشتغلناها مع فرق واحد ان الـ A أشماله الـ A معروف هو الواحد solution الـ Z 30 عبارة عن generated Pi الواحد و ال order للواحد 100", "tokens": [3224, 1863, 25957, 1211, 8717, 36178, 27188, 4117, 25720, 13672, 1829, 1975, 8592, 2655, 17082, 1211, 8315, 11296, 20449, 6156, 2288, 4587, 36764, 24401, 16472, 2423, 39184, 316, 5551, 8592, 2304, 6027, 3224, 2423, 39184, 316, 20449, 32887, 5172, 31439, 2423, 14407, 24401, 3827, 2423, 39184, 1176, 2217, 6225, 3555, 9640, 3660, 18871, 10833, 17741, 2423, 14407, 24401, 4032, 2423, 1668, 24976, 14407, 24401, 2319], "avg_logprob": -0.2862215967792453, "compression_ratio": 1.451219512195122, "no_speech_prob": 0.0, "words": [{"start": 514.62, "end": 515.12, "word": "هنعمل", "probability": 0.914306640625}, {"start": 515.12, "end": 515.6, "word": " نفس", "probability": 0.9892578125}, {"start": 515.6, "end": 516.16, "word": " الفكرة", "probability": 0.9864908854166666}, {"start": 516.16, "end": 516.3, "word": " اللي", "probability": 0.777587890625}, {"start": 516.3, "end": 517.12, "word": " اشتغلناها", "probability": 0.9494280133928571}, {"start": 517.12, "end": 519.56, "word": " مع", "probability": 0.75146484375}, {"start": 519.56, "end": 520.22, "word": " فرق", "probability": 0.99072265625}, {"start": 520.22, "end": 520.86, "word": " واحد", "probability": 0.773681640625}, {"start": 520.86, "end": 522.16, "word": " ان", "probability": 0.60791015625}, {"start": 522.16, "end": 522.46, "word": " الـ", "probability": 0.54443359375}, {"start": 522.46, "end": 522.76, "word": " A", "probability": 0.342041015625}, {"start": 522.76, "end": 524.62, "word": " أشماله", "probability": 0.85078125}, {"start": 524.62, "end": 531.44, "word": " الـ", "probability": 0.822265625}, {"start": 531.44, "end": 531.48, "word": " A", "probability": 0.86572265625}, {"start": 531.48, "end": 532.04, "word": " معروف", "probability": 0.9060872395833334}, {"start": 532.04, "end": 532.2, "word": " هو", "probability": 0.908203125}, {"start": 532.2, "end": 532.9, "word": " الواحد", "probability": 0.9440104166666666}, {"start": 532.9, "end": 536.1, "word": " solution", "probability": 0.61083984375}, {"start": 536.1, "end": 537.48, "word": " الـ", "probability": 0.849609375}, {"start": 537.48, "end": 537.56, "word": " Z", "probability": 0.67431640625}, {"start": 537.56, "end": 538.26, "word": " 30", "probability": 0.1495361328125}, {"start": 538.26, "end": 539.36, "word": " عبارة", "probability": 0.804840087890625}, {"start": 539.36, "end": 539.56, "word": " عن", "probability": 0.9921875}, {"start": 539.56, "end": 540.02, "word": " generated", "probability": 0.412841796875}, {"start": 540.02, "end": 540.36, "word": " Pi", "probability": 0.3076171875}, {"start": 540.36, "end": 540.92, "word": " الواحد", "probability": 0.8732096354166666}, {"start": 540.92, "end": 541.88, "word": " و", "probability": 0.2479248046875}, {"start": 541.88, "end": 542.0, "word": " ال", "probability": 0.56201171875}, {"start": 542.0, "end": 542.4, "word": " order", "probability": 0.869140625}, {"start": 542.4, "end": 542.94, "word": " للواحد", "probability": 0.93798828125}, {"start": 542.94, "end": 543.26, "word": " 100", "probability": 0.26416015625}], "temperature": 1.0}, {"id": 20, "seek": 56898, "start": 544.64, "end": 568.98, "text": "تلاتين using the same method in the last example we get the following cyclic subgroups", "tokens": [2655, 1211, 9307, 9957, 1228, 264, 912, 3170, 294, 264, 1036, 1365, 321, 483, 264, 3480, 38154, 1050, 1422, 17377, 82], "avg_logprob": -0.14319957521828738, "compression_ratio": 1.0454545454545454, "no_speech_prob": 0.0, "words": [{"start": 544.64, "end": 545.2, "word": "تلاتين", "probability": 0.8218994140625}, {"start": 545.2, "end": 546.12, "word": " using", "probability": 0.487548828125}, {"start": 546.12, "end": 549.68, "word": " the", "probability": 0.90234375}, {"start": 549.68, "end": 550.24, "word": " same", "probability": 0.9296875}, {"start": 550.24, "end": 552.46, "word": " method", "probability": 0.9716796875}, {"start": 552.46, "end": 554.86, "word": " in", "probability": 0.9375}, {"start": 554.86, "end": 555.0, "word": " the", "probability": 0.94384765625}, {"start": 555.0, "end": 555.62, "word": " last", "probability": 0.892578125}, {"start": 555.62, 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order K namely generated by مين؟ طبق الـ band التالت من النظرية السابقة لكن على ZN هكون واحد أسفل N على K اللي هو أبعد عن مين؟", "tokens": [2670, 1176, 45, 365, 1668, 591, 20926, 10833, 538, 3714, 9957, 22807, 23032, 3555, 4587, 2423, 39184, 4116, 16712, 6027, 2655, 9154, 28239, 19913, 2288, 10632, 21136, 16758, 28671, 44381, 15844, 1176, 45, 8032, 30544, 36764, 24401, 5551, 3794, 5172, 1211, 426, 15844, 591, 13672, 1829, 31439, 5551, 3555, 22488, 18871, 3714, 9957, 22807], "avg_logprob": -0.34431818506934425, "compression_ratio": 1.2955974842767295, "no_speech_prob": 0.0, "words": [{"start": 657.5, "end": 658.4, "word": "of", "probability": 0.319091796875}, {"start": 658.4, "end": 659.3, "word": " ZN", "probability": 0.4671630859375}, {"start": 659.3, "end": 661.5, "word": " with", "probability": 0.86865234375}, {"start": 661.5, "end": 662.26, "word": " order", "probability": 0.9150390625}, {"start": 662.26, "end": 664.18, "word": " K", "probability": 0.51171875}, {"start": 664.18, 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"probability": 0.9783528645833334}], "temperature": 1.0}, {"id": 25, "seek": 71561, "start": 687.11, "end": 715.61, "text": "ان على ك مش بس هيك these are the only subgroups of z طبعا مافيش غيرها مافيش غيرهم هدولة لكل قاسم للان", "tokens": [7649, 15844, 9122, 37893, 4724, 3794, 39896, 4117, 613, 366, 264, 787, 1422, 17377, 82, 295, 710, 23032, 3555, 3615, 995, 19446, 41185, 8592, 32771, 13546, 11296, 19446, 41185, 8592, 32771, 13546, 16095, 8032, 3215, 12610, 3660, 5296, 28820, 12174, 32277, 2304, 24976, 7649], "avg_logprob": -0.2635416666666667, "compression_ratio": 1.2520325203252032, "no_speech_prob": 0.0, "words": [{"start": 687.11, "end": 687.57, "word": "ان", "probability": 0.19482421875}, {"start": 687.57, "end": 688.87, "word": " على", "probability": 0.54248046875}, {"start": 688.87, "end": 690.45, "word": " ك", "probability": 0.60693359375}, {"start": 690.45, "end": 694.17, "word": " مش", "probability": 0.322998046875}, {"start": 694.17, "end": 694.47, "word": " بس", 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" أشعين", "probability": 0.773681640625}, {"start": 766.75, "end": 770.99, "word": " أيه", "probability": 0.5966796875}, {"start": 770.99, "end": 771.23, "word": " السؤال", "probability": 0.9031575520833334}, {"start": 771.23, "end": 771.35, "word": " يا", "probability": 0.9521484375}, {"start": 771.35, "end": 771.65, "word": " شباب", "probability": 0.9928385416666666}], "temperature": 1.0}, {"id": 28, "seek": 79681, "start": 773.65, "end": 796.81, "text": "أي سؤال سؤال عالسريع find the number of subgroups of j generated by a if order a بسوى خمسة وعشرين", "tokens": [10721, 1829, 8608, 33604, 6027, 8608, 33604, 6027, 6225, 6027, 3794, 16572, 3615, 915, 264, 1230, 295, 1422, 17377, 82, 295, 361, 10833, 538, 257, 498, 1668, 257, 4724, 3794, 2407, 7578, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957], "avg_logprob": -0.2578125058150873, "compression_ratio": 1.1130434782608696, "no_speech_prob": 0.0, "words": [{"start": 773.65, "end": 773.97, "word": "أي", "probability": 0.638427734375}, 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791.75, "word": " a", "probability": 0.5791015625}, {"start": 791.75, "end": 793.33, "word": " if", "probability": 0.89892578125}, {"start": 793.33, "end": 793.97, "word": " order", "probability": 0.95751953125}, {"start": 793.97, "end": 794.65, "word": " a", "probability": 0.81005859375}, {"start": 794.65, "end": 795.75, "word": " بسوى", "probability": 0.53204345703125}, {"start": 795.75, "end": 796.29, "word": " خمسة", "probability": 0.83941650390625}, {"start": 796.29, "end": 796.81, "word": " وعشرين", "probability": 0.85400390625}], "temperature": 1.0}, {"id": 29, "seek": 83156, "start": 802.1, "end": 831.56, "text": "أوجد عدد الـ subgroups اللي موجودين في الجروب جيه اللي ال order لل generator إلها عبارة عن 25 نجيب عدد قواسم الخمسة وعشرين ويكون هو عدد ال subgroups the divisors of خمسة وعشرين are واحد خمسة وخمسة وعشرين يجب كموحدة", "tokens": [10721, 29245, 3215, 6225, 3215, 3215, 2423, 39184, 1422, 17377, 82, 13672, 1829, 3714, 29245, 23328, 9957, 8978, 25724, 32887, 3555, 10874, 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" اللي", "probability": 0.862060546875}, {"start": 806.46, "end": 807.02, "word": " موجودين", "probability": 0.983642578125}, {"start": 807.02, "end": 807.14, "word": " في", "probability": 0.83203125}, {"start": 807.14, "end": 807.52, "word": " الجروب", "probability": 0.6748860677083334}, {"start": 807.52, "end": 808.38, "word": " جيه", "probability": 0.677734375}, {"start": 808.38, "end": 808.68, "word": " اللي", "probability": 0.860595703125}, {"start": 808.68, "end": 808.78, "word": " ال", "probability": 0.72119140625}, {"start": 808.78, "end": 809.14, "word": " order", "probability": 0.6884765625}, {"start": 809.14, "end": 809.38, "word": " لل", "probability": 0.7021484375}, {"start": 809.38, "end": 809.84, "word": " generator", "probability": 0.91845703125}, {"start": 809.84, "end": 810.48, "word": " إلها", "probability": 0.6964518229166666}, {"start": 810.48, "end": 811.6, "word": " عبارة", "probability": 0.9288330078125}, {"start": 811.6, "end": 811.8, "word": " عن", "probability": 0.9580078125}, {"start": 811.8, "end": 812.36, "word": " 25", "probability": 0.6318359375}, {"start": 812.36, "end": 813.62, "word": " نجيب", "probability": 0.783355712890625}, {"start": 813.62, "end": 813.86, "word": " عدد", "probability": 0.9894205729166666}, {"start": 813.86, "end": 816.66, "word": " قواسم", "probability": 0.6725260416666666}, {"start": 816.66, "end": 817.14, "word": " الخمسة", "probability": 0.725341796875}, {"start": 817.14, "end": 817.52, "word": " وعشرين", "probability": 0.77294921875}, {"start": 817.52, "end": 817.86, "word": " ويكون", "probability": 0.47021484375}, {"start": 817.86, "end": 818.04, "word": " هو", "probability": 0.2288818359375}, {"start": 818.04, "end": 818.4, "word": " عدد", "probability": 0.9933268229166666}, {"start": 818.4, "end": 818.52, "word": " ال", "probability": 0.69580078125}, {"start": 818.52, "end": 819.4, "word": " subgroups", "probability": 0.6298828125}, {"start": 819.4, "end": 819.5, "word": " the", "probability": 0.2359619140625}, {"start": 819.5, "end": 820.96, "word": " divisors", "probability": 0.78271484375}, {"start": 820.96, "end": 824.04, "word": " of", "probability": 0.74267578125}, {"start": 824.04, "end": 824.48, "word": " خمسة", "probability": 0.9058837890625}, {"start": 824.48, "end": 825.12, "word": " وعشرين", "probability": 0.889892578125}, {"start": 825.12, "end": 826.1, "word": " are", "probability": 0.281982421875}, {"start": 826.1, "end": 827.12, "word": " واحد", "probability": 0.781005859375}, {"start": 827.12, "end": 828.7, "word": " خمسة", "probability": 0.9056396484375}, {"start": 828.7, "end": 829.44, "word": " وخمسة", "probability": 0.91015625}, {"start": 829.44, "end": 829.96, "word": " وعشرين", "probability": 0.9398193359375}, {"start": 829.96, "end": 830.9, "word": " يجب", "probability": 0.8317057291666666}, {"start": 830.9, "end": 831.56, "word": " كموحدة", "probability": 0.82734375}], "temperature": 1.0}, {"id": 30, "seek": 85905, "start": 832.41, "end": 859.05, "text": "there are only three subgroups of G فقط تلاتة cyclic subgroups أو subgroups موجودين هنا أنهينا السؤال المتعلق بعدد ال cyclic subgroup بيجي سؤال تاني", "tokens": [15456, 366, 787, 1045, 1422, 17377, 82, 295, 460, 6156, 47432, 6055, 1211, 9307, 3660, 38154, 1050, 1422, 17377, 82, 34051, 1422, 17377, 82, 3714, 29245, 23328, 9957, 34105, 14739, 3224, 1829, 8315, 21136, 33604, 6027, 9673, 2655, 30241, 4587, 4724, 22488, 3215, 2423, 38154, 1050, 1422, 17377, 4724, 1829, 7435, 1829, 8608, 33604, 6027, 6055, 7649, 1829], "avg_logprob": -0.19849046660681902, "compression_ratio": 1.4137931034482758, "no_speech_prob": 0.0, "words": [{"start": 832.41, "end": 832.87, "word": "there", "probability": 0.396240234375}, {"start": 832.87, "end": 835.01, "word": " are", "probability": 0.9462890625}, {"start": 835.01, "end": 835.65, "word": " only", "probability": 0.91064453125}, {"start": 835.65, "end": 836.79, "word": " three", "probability": 0.783203125}, {"start": 836.79, "end": 842.19, "word": " subgroups", "probability": 0.7947591145833334}, {"start": 842.19, "end": 842.41, "word": " of", "probability": 0.80322265625}, {"start": 842.41, "end": 842.71, "word": " G", "probability": 0.677734375}, {"start": 842.71, "end": 845.17, "word": " فقط", "probability": 0.76171875}, {"start": 845.17, "end": 846.77, "word": " تلاتة", "probability": 0.9365234375}, {"start": 846.77, "end": 847.47, "word": " cyclic", "probability": 0.616455078125}, {"start": 847.47, "end": 848.39, "word": " subgroups", "probability": 0.8518880208333334}, {"start": 848.39, "end": 848.53, "word": " أو", "probability": 0.4267578125}, {"start": 848.53, "end": 849.91, "word": " subgroups", "probability": 0.8665364583333334}, {"start": 849.91, "end": 851.29, "word": " موجودين", "probability": 0.962646484375}, {"start": 851.29, "end": 852.43, "word": " هنا", "probability": 0.26708984375}, {"start": 852.43, "end": 853.65, "word": " أنهينا", "probability": 0.83856201171875}, {"start": 853.65, "end": 854.33, "word": " السؤال", "probability": 0.9915364583333334}, {"start": 854.33, "end": 855.07, "word": " المتعلق", "probability": 0.9808349609375}, {"start": 855.07, "end": 855.73, "word": " بعدد", "probability": 0.88671875}, {"start": 855.73, "end": 856.13, "word": " ال", "probability": 0.802734375}, {"start": 856.13, "end": 856.63, "word": " cyclic", "probability": 0.6495361328125}, {"start": 856.63, "end": 857.13, "word": " subgroup", "probability": 0.964599609375}, {"start": 857.13, "end": 858.29, "word": " بيجي", "probability": 0.8897705078125}, {"start": 858.29, "end": 858.59, "word": " سؤال", "probability": 0.98681640625}, {"start": 858.59, "end": 859.05, "word": " تاني", "probability": 0.9108072916666666}], "temperature": 1.0}, {"id": 31, "seek": 86419, "start": 860.27, "end": 864.19, "text": "سؤال الأول هو قداش عدد ال generator في ال cyclic group؟", "tokens": [3794, 33604, 6027, 16247, 12610, 31439, 12174, 3215, 33599, 6225, 3215, 3215, 2423, 19265, 8978, 2423, 38154, 1050, 1594, 22807], "avg_logprob": -0.3234746910276867, "compression_ratio": 1.0126582278481013, "no_speech_prob": 0.0, "words": [{"start": 860.27, "end": 860.71, "word": "سؤال", "probability": 0.9152018229166666}, {"start": 860.71, "end": 861.17, "word": " الأول", "probability": 0.913818359375}, {"start": 861.17, "end": 861.53, "word": " هو", "probability": 0.7509765625}, {"start": 861.53, "end": 861.93, "word": " قداش", "probability": 0.604736328125}, {"start": 861.93, "end": 862.25, "word": " عدد", "probability": 0.9698893229166666}, {"start": 862.25, "end": 862.35, "word": " ال", "probability": 0.5400390625}, {"start": 862.35, "end": 862.85, "word": " generator", "probability": 0.95703125}, {"start": 862.85, "end": 863.09, "word": " في", "probability": 0.904296875}, {"start": 863.09, "end": 863.21, "word": " ال", "probability": 0.814453125}, {"start": 863.21, "end": 863.67, "word": " cyclic", "probability": 0.509490966796875}, {"start": 863.67, "end": 864.19, "word": " group؟", "probability": 0.881103515625}], "temperature": 1.0}, {"id": 32, "seek": 89451, "start": 865.69, "end": 894.51, "text": "سؤال التاني لو كان عندي قاسم لل order لل group cyclic نقول لو كان عندي قاسم فانا بلاقي sub group ال order لهذا القاسم لما اقول sub group من cyclic و ال order لهذا القاسم معناته انها generator وهذا ال generator ال order له بيساوي القاسم يعني لكل قاسم ل order ال finite group cyclic بلاقي عنصر جوا", "tokens": [3794, 33604, 6027, 16712, 7649, 1829, 45164, 25961, 18871, 16254, 12174, 32277, 2304, 24976, 1668, 24976, 1594, 38154, 1050, 8717, 39648, 45164, 25961, 18871, 16254, 12174, 32277, 2304, 6156, 7649, 995, 4724, 15040, 38436, 1422, 1594, 2423, 1668, 46740, 15730, 25062, 32277, 2304, 5296, 15042, 1975, 39648, 1422, 1594, 9154, 38154, 1050, 4032, 2423, 1668, 46740, 15730, 25062, 32277, 2304, 20449, 8315, 47395, 16472, 11296, 19265, 37037, 15730, 2423, 19265, 2423, 1668, 46740, 4724, 1829, 3794, 995, 45865, 25062, 32277, 2304, 37495, 22653, 5296, 28820, 12174, 32277, 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"probability": 0.9404296875}, {"start": 878.23, "end": 878.61, "word": " لهذا", "probability": 0.947998046875}, {"start": 878.61, "end": 879.13, "word": " القاسم", "probability": 0.9694010416666666}, {"start": 879.13, "end": 879.75, "word": " لما", "probability": 0.7724609375}, {"start": 879.75, "end": 879.99, "word": " اقول", "probability": 0.694580078125}, {"start": 879.99, "end": 880.29, "word": " sub", "probability": 0.95361328125}, {"start": 880.29, "end": 880.65, "word": " group", "probability": 0.97314453125}, {"start": 880.65, "end": 880.87, "word": " من", "probability": 0.966796875}, {"start": 880.87, "end": 881.51, "word": " cyclic", "probability": 0.754150390625}, {"start": 881.51, "end": 881.65, "word": " و", "probability": 0.64892578125}, {"start": 881.65, "end": 881.71, "word": " ال", "probability": 0.6337890625}, {"start": 881.71, "end": 881.95, "word": " order", "probability": 0.97119140625}, {"start": 881.95, "end": 882.31, "word": " لهذا", "probability": 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0.9762369791666666}, {"start": 887.59, "end": 887.99, "word": " يعني", "probability": 0.6480712890625}, {"start": 887.99, "end": 888.45, "word": " لكل", "probability": 0.649169921875}, {"start": 888.45, "end": 889.17, "word": " قاسم", "probability": 0.9744466145833334}, {"start": 889.17, "end": 889.31, "word": " ل", "probability": 0.72998046875}, {"start": 889.31, "end": 889.69, "word": " order", "probability": 0.8955078125}, {"start": 889.69, "end": 889.89, "word": " ال", "probability": 0.72998046875}, {"start": 889.89, "end": 890.37, "word": " finite", "probability": 0.49853515625}, {"start": 890.37, "end": 890.81, "word": " group", "probability": 0.8876953125}, {"start": 890.81, "end": 890.99, "word": " cyclic", "probability": 0.808349609375}, {"start": 890.99, "end": 892.87, "word": " بلاقي", "probability": 0.8932291666666666}, {"start": 892.87, "end": 893.93, "word": " عنصر", "probability": 0.9765625}, {"start": 893.93, "end": 894.51, "word": " جوا", "probability": 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0.9625651041666666}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.96337890625}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.96435546875}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.9650065104166666}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.9658203125}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.96728515625}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.96826171875}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.96875}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.9698893229166666}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.970703125}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.9715169270833334}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.9724934895833334}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.9729817708333334}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.9739583333333334}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.9752604166666666}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.97607421875}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.9765625}, {"start": 1168.43, "end": 1168.43, "word": "-P2", "probability": 0.9777018229166666}, {"start": 1168.43, "end": 1169.59, "word": "-P2", "probability": 0.97802734375}, {"start": 1169.59, "end": 1173.49, "word": "-P2", "probability": 0.9788411458333334}], "temperature": 1.0}, {"id": 43, "seek": 120123, "start": 1173.91, "end": 1201.23, "text": "و التفاصيل التفاصيل لكن بستعمل فيها concepts مش موجودة عندي في هذا المساق اشتغل على ال multiplicative functions و بعض الأمور من هذا النوع طيب ايش دخل ال function هذه في موضوعنا هتيجي النظرية اربع اربع و توضح", "tokens": [2407, 16712, 5172, 33546, 26895, 16712, 5172, 33546, 26895, 44381, 4724, 14851, 25957, 1211, 8978, 11296, 10392, 37893, 3714, 29245, 23328, 3660, 18871, 16254, 8978, 23758, 9673, 3794, 995, 4587, 1975, 8592, 2655, 17082, 1211, 15844, 2423, 17596, 1166, 6828, 4032, 45030, 11242, 16247, 2304, 13063, 9154, 23758, 28239, 45367, 23032, 1829, 3555, 1975, 1829, 8592, 11778, 9778, 1211, 2423, 2445, 29538, 8978, 3714, 2407, 11242, 45367, 8315, 8032, 31371, 7435, 1829, 28239, 19913, 2288, 10632, 1975, 25513, 3615, 1975, 25513, 3615, 4032, 33427, 11242, 5016], "avg_logprob": -0.2176724144782143, "compression_ratio": 1.648780487804878, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 1173.91, "end": 1174.33, "word": "و", "probability": 0.335693359375}, {"start": 1174.33, "end": 1175.59, "word": " التفاصيل", "probability": 0.86376953125}, {"start": 1175.59, "end": 1176.27, "word": " التفاصيل", "probability": 0.9415283203125}, {"start": 1176.27, "end": 1176.93, "word": " لكن", "probability": 0.771484375}, {"start": 1176.93, "end": 1177.47, "word": " بستعمل", "probability": 0.94580078125}, {"start": 1177.47, "end": 1177.85, "word": " فيها", "probability": 0.969482421875}, {"start": 1177.85, "end": 1179.77, "word": " concepts", "probability": 0.66552734375}, {"start": 1179.77, "end": 1180.01, "word": " مش", "probability": 0.947265625}, {"start": 1180.01, "end": 1180.39, "word": " موجودة", "probability": 0.9691162109375}, {"start": 1180.39, "end": 1180.59, "word": " عندي", "probability": 0.6807861328125}, {"start": 1180.59, "end": 1180.71, "word": " في", "probability": 0.94140625}, {"start": 1180.71, "end": 1180.93, "word": " هذا", "probability": 0.87841796875}, {"start": 1180.93, "end": 1181.53, "word": " المساق", "probability": 0.8670654296875}, {"start": 1181.53, "end": 1182.39, "word": " اشتغل", "probability": 0.81416015625}, {"start": 1182.39, "end": 1182.69, "word": " على", "probability": 0.7890625}, {"start": 1182.69, "end": 1183.21, "word": " ال", "probability": 0.3369140625}, {"start": 1183.21, "end": 1184.63, "word": " multiplicative", "probability": 0.91357421875}, {"start": 1184.63, "end": 1185.33, "word": " functions", "probability": 0.8486328125}, {"start": 1185.33, "end": 1185.83, "word": " و", "probability": 0.6298828125}, {"start": 1185.83, "end": 1186.47, "word": " بعض", "probability": 0.949951171875}, {"start": 1186.47, "end": 1186.97, "word": " الأمور", "probability": 0.9501953125}, {"start": 1186.97, "end": 1187.15, "word": " من", "probability": 0.96826171875}, {"start": 1187.15, "end": 1187.41, "word": " هذا", "probability": 0.88525390625}, {"start": 1187.41, "end": 1187.71, "word": " النوع", "probability": 0.833984375}, {"start": 1187.71, "end": 1194.37, "word": " طيب", "probability": 0.7110595703125}, {"start": 1194.37, "end": 1194.69, "word": " ايش", "probability": 0.7330729166666666}, {"start": 1194.69, "end": 1195.03, "word": " دخل", "probability": 0.9874674479166666}, {"start": 1195.03, "end": 1195.25, "word": " ال", "probability": 0.9833984375}, {"start": 1195.25, "end": 1195.85, "word": " function", "probability": 0.947265625}, {"start": 1195.85, "end": 1196.19, "word": " هذه", "probability": 0.2861328125}, {"start": 1196.19, "end": 1196.37, "word": " في", "probability": 0.7509765625}, {"start": 1196.37, "end": 1196.95, "word": " موضوعنا", "probability": 0.94462890625}, {"start": 1196.95, "end": 1197.55, "word": " هتيجي", "probability": 0.918212890625}, {"start": 1197.55, "end": 1198.01, "word": " النظرية", "probability": 0.931640625}, {"start": 1198.01, "end": 1198.33, "word": " اربع", "probability": 0.6185709635416666}, {"start": 1198.33, "end": 1198.91, "word": " اربع", "probability": 0.9384765625}, {"start": 1198.91, "end": 1200.67, "word": " و", "probability": 0.5283203125}, {"start": 1200.67, "end": 1201.23, "word": " توضح", "probability": 0.8411458333333334}], "temperature": 1.0}, {"id": 44, "seek": 121809, "start": 1205.04, "end": 1218.1, "text": "بنخلصه ان شاء الله بضايق نظرية واحدة بيساوي رقم معين let J بيساوي generated by ال A و أخضر ال A بيساوي N", "tokens": [3555, 1863, 9778, 1211, 9381, 3224, 16472, 13412, 16606, 21984, 4724, 11242, 47302, 4587, 8717, 19913, 2288, 10632, 36764, 24401, 3660, 4724, 1829, 3794, 995, 45865, 12602, 4587, 2304, 20449, 9957, 718, 508, 4724, 1829, 3794, 995, 45865, 10833, 538, 2423, 316, 4032, 5551, 9778, 11242, 2288, 2423, 316, 4724, 1829, 3794, 995, 45865, 426], "avg_logprob": -0.2811104937323502, "compression_ratio": 1.2923076923076924, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 1205.04, "end": 1205.68, "word": "بنخلصه", "probability": 0.7716878255208334}, {"start": 1205.68, "end": 1205.74, "word": " ان", "probability": 0.7216796875}, {"start": 1205.74, "end": 1205.94, "word": " شاء", "probability": 0.916748046875}, {"start": 1205.94, "end": 1206.06, "word": " الله", "probability": 0.95654296875}, {"start": 1206.06, "end": 1206.76, "word": " بضايق", "probability": 0.49041748046875}, {"start": 1206.76, "end": 1207.12, "word": " نظرية", "probability": 0.9713134765625}, {"start": 1207.12, "end": 1207.6, "word": " واحدة", "probability": 0.95947265625}, {"start": 1207.6, "end": 1209.04, "word": " بيساوي", "probability": 0.834765625}, {"start": 1209.04, "end": 1209.44, "word": " رقم", "probability": 0.9736328125}, {"start": 1209.44, "end": 1209.94, "word": " معين", "probability": 0.958251953125}, {"start": 1209.94, "end": 1210.84, "word": " let", "probability": 0.466552734375}, {"start": 1210.84, "end": 1212.38, "word": " J", "probability": 0.217041015625}, {"start": 1212.38, "end": 1213.28, "word": " بيساوي", "probability": 0.884765625}, {"start": 1213.28, "end": 1213.78, "word": " generated", "probability": 0.689453125}, {"start": 1213.78, "end": 1214.2, "word": " by", "probability": 0.9169921875}, {"start": 1214.2, "end": 1214.38, "word": " ال", "probability": 0.80810546875}, {"start": 1214.38, "end": 1214.62, "word": " A", "probability": 0.7197265625}, {"start": 1214.62, "end": 1216.08, "word": " و", "probability": 0.609375}, {"start": 1216.08, "end": 1216.64, "word": " أخضر", "probability": 0.67974853515625}, {"start": 1216.64, "end": 1216.86, "word": " ال", "probability": 0.90576171875}, {"start": 1216.86, "end": 1217.12, "word": " A", "probability": 0.93994140625}, {"start": 1217.12, "end": 1217.82, "word": " بيساوي", "probability": 0.789697265625}, {"start": 1217.82, "end": 1218.1, "word": " N", "probability": 0.625}], "temperature": 1.0}, {"id": 45, "seek": 124908, "start": 1221.78, "end": 1249.08, "text": "دى يقسم الان طبعا دى يقسم الان احنا هيك بنقول ان يوجد only one sub group of order دى namely generated by a to n على d هيت السؤال جداش عدد ال generator then the elements او the number of elements", "tokens": [3215, 7578, 7251, 4587, 38251, 2423, 7649, 23032, 3555, 3615, 995, 11778, 7578, 7251, 4587, 38251, 2423, 7649, 1975, 5016, 8315, 39896, 4117, 44945, 39648, 16472, 7251, 29245, 3215, 787, 472, 1422, 1594, 295, 1668, 11778, 7578, 20926, 10833, 538, 257, 281, 297, 15844, 274, 39896, 2655, 21136, 33604, 6027, 10874, 3215, 33599, 6225, 3215, 3215, 2423, 19265, 550, 264, 4959, 1975, 2407, 264, 1230, 295, 4959], "avg_logprob": -0.26976103554753694, "compression_ratio": 1.5086705202312138, "no_speech_prob": 0.0, "words": [{"start": 1221.78, "end": 1222.14, "word": "دى", "probability": 0.33245849609375}, {"start": 1222.14, "end": 1222.5, "word": " يقسم", "probability": 0.8458658854166666}, {"start": 1222.5, "end": 1222.88, "word": " الان", "probability": 0.905517578125}, {"start": 1222.88, "end": 1223.72, "word": " طبعا", "probability": 0.89306640625}, {"start": 1223.72, "end": 1223.9, "word": " دى", "probability": 0.859619140625}, {"start": 1223.9, "end": 1224.18, "word": " يقسم", "probability": 0.98828125}, {"start": 1224.18, "end": 1224.46, "word": " الان", "probability": 0.93115234375}, {"start": 1224.46, "end": 1224.68, "word": " احنا", "probability": 0.8349609375}, {"start": 1224.68, "end": 1224.92, "word": " هيك", "probability": 0.80517578125}, {"start": 1224.92, "end": 1225.24, "word": " بنقول", "probability": 0.5872802734375}, {"start": 1225.24, "end": 1225.38, "word": " ان", "probability": 0.7802734375}, {"start": 1225.38, "end": 1225.74, "word": " يوجد", "probability": 0.8888346354166666}, {"start": 1225.74, "end": 1226.14, "word": " only", "probability": 0.68798828125}, {"start": 1226.14, "end": 1227.06, "word": " one", "probability": 0.93115234375}, {"start": 1227.06, "end": 1227.38, "word": " sub", "probability": 0.8896484375}, {"start": 1227.38, "end": 1227.76, "word": " group", "probability": 0.54638671875}, {"start": 1227.76, "end": 1227.94, "word": " of", "probability": 0.9580078125}, {"start": 1227.94, "end": 1228.4, "word": " order", "probability": 0.95068359375}, {"start": 1228.4, "end": 1228.86, "word": " دى", "probability": 0.771728515625}, {"start": 1228.86, "end": 1229.6, "word": " namely", "probability": 0.66943359375}, {"start": 1229.6, "end": 1230.72, "word": " generated", "probability": 0.76708984375}, {"start": 1230.72, "end": 1230.96, "word": " by", "probability": 0.98583984375}, {"start": 1230.96, "end": 1231.34, "word": " a", "probability": 0.64599609375}, {"start": 1231.34, "end": 1231.5, "word": " to", "probability": 0.501953125}, {"start": 1231.5, "end": 1231.68, "word": " n", "probability": 0.73583984375}, {"start": 1231.68, "end": 1231.84, "word": " على", "probability": 0.77197265625}, {"start": 1231.84, "end": 1232.08, "word": " d", "probability": 0.6611328125}, {"start": 1232.08, "end": 1233.06, "word": " هيت", "probability": 0.551513671875}, {"start": 1233.06, "end": 1233.62, "word": " السؤال", "probability": 0.9884440104166666}, {"start": 1233.62, "end": 1234.12, "word": " جداش", "probability": 0.6920572916666666}, {"start": 1234.12, "end": 1234.38, "word": " عدد", "probability": 0.9812825520833334}, {"start": 1234.38, "end": 1234.5, "word": " ال", "probability": 0.67822265625}, {"start": 1234.5, "end": 1234.96, "word": " generator", "probability": 0.98681640625}, {"start": 1234.96, "end": 1236.84, "word": " then", "probability": 0.76220703125}, {"start": 1236.84, "end": 1240.6, "word": " the", "probability": 0.8076171875}, {"start": 1240.6, "end": 1241.44, "word": " elements", "probability": 0.85400390625}, {"start": 1241.44, "end": 1244.08, "word": " او", "probability": 0.6669921875}, {"start": 1244.08, "end": 1244.22, "word": " the", "probability": 0.66845703125}, {"start": 1244.22, "end": 1244.64, "word": " number", "probability": 0.966796875}, {"start": 1244.64, "end": 1248.32, "word": " of", "probability": 0.97802734375}, {"start": 1248.32, "end": 1249.08, "word": " elements", "probability": 0.89404296875}], "temperature": 1.0}, {"id": 46, "seek": 127769, "start": 1251.85, "end": 1277.69, "text": "in J with order D is فاية D عدد العناصر في J اللي ال order لهم بيساوي D بيساوياش فاية D نيجي نتبت نيجي نتبت العلاقة", "tokens": [259, 508, 365, 1668, 413, 307, 6156, 995, 10632, 413, 6225, 3215, 3215, 18863, 8315, 9381, 2288, 8978, 508, 13672, 1829, 2423, 1668, 5296, 16095, 4724, 1829, 3794, 995, 45865, 413, 4724, 1829, 3794, 995, 45865, 33599, 6156, 995, 10632, 413, 8717, 1829, 7435, 1829, 8717, 2655, 3555, 2655, 8717, 1829, 7435, 1829, 8717, 2655, 3555, 2655, 18863, 15040, 28671], "avg_logprob": -0.33043032786885246, "compression_ratio": 1.5083333333333333, "no_speech_prob": 0.0, "words": [{"start": 1251.85, "end": 1252.13, "word": "in", "probability": 0.1162109375}, {"start": 1252.13, "end": 1252.45, "word": " J", "probability": 0.3232421875}, {"start": 1252.45, "end": 1254.13, "word": " with", "probability": 0.853515625}, {"start": 1254.13, "end": 1254.83, "word": " order", "probability": 0.9306640625}, {"start": 1254.83, "end": 1256.55, "word": " D", "probability": 0.5791015625}, {"start": 1256.55, "end": 1257.57, "word": " is", "probability": 0.68505859375}, {"start": 1257.57, "end": 1259.63, "word": " فاية", "probability": 0.3465983072916667}, {"start": 1259.63, "end": 1259.83, "word": " D", "probability": 0.8583984375}, {"start": 1259.83, "end": 1262.21, "word": " عدد", "probability": 0.9443359375}, {"start": 1262.21, "end": 1263.15, "word": " العناصر", "probability": 0.8302001953125}, {"start": 1263.15, "end": 1263.83, "word": " في", "probability": 0.8291015625}, {"start": 1263.83, "end": 1264.19, "word": " J", "probability": 0.89404296875}, {"start": 1264.19, "end": 1265.15, "word": " اللي", "probability": 0.945068359375}, {"start": 1265.15, "end": 1265.31, "word": " ال", "probability": 0.578125}, {"start": 1265.31, "end": 1265.73, "word": " order", "probability": 0.94873046875}, {"start": 1265.73, "end": 1266.43, "word": " لهم", "probability": 0.700439453125}, {"start": 1266.43, "end": 1267.49, "word": " بيساوي", "probability": 0.89404296875}, {"start": 1267.49, "end": 1267.77, "word": " D", "probability": 0.8017578125}, {"start": 1267.77, "end": 1269.21, "word": " بيساوياش", "probability": 0.8541259765625}, {"start": 1269.21, "end": 1270.83, "word": " فاية", "probability": 0.8458658854166666}, {"start": 1270.83, "end": 1271.35, "word": " D", "probability": 0.984375}, {"start": 1271.35, "end": 1272.11, "word": " نيجي", "probability": 0.6709136962890625}, {"start": 1272.11, "end": 1272.61, "word": " نتبت", "probability": 0.8291015625}, {"start": 1272.61, "end": 1276.27, "word": " نيجي", "probability": 0.73333740234375}, {"start": 1276.27, "end": 1277.29, "word": " نتبت", "probability": 0.994140625}, {"start": 1277.29, "end": 1277.69, "word": " العلاقة", "probability": 0.8767903645833334}], "temperature": 1.0}, {"id": 47, "seek": 131009, "start": 1280.74, "end": 1310.1, "text": "اربع تلاتة part c ايش ال part c في النظرية هذه بيقول؟ there exist a unique .. طبعا there exist unique subgroup of j with order d namely", "tokens": [9640, 3555, 3615, 6055, 1211, 9307, 3660, 644, 269, 1975, 1829, 8592, 2423, 644, 269, 8978, 28239, 19913, 2288, 10632, 29538, 4724, 1829, 39648, 22807, 456, 2514, 257, 3845, 4386, 23032, 3555, 3615, 995, 456, 2514, 3845, 1422, 17377, 295, 361, 365, 1668, 274, 20926], "avg_logprob": -0.32727582623129303, "compression_ratio": 1.2214285714285715, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1280.74, "end": 1281.2, "word": "اربع", "probability": 0.6944986979166666}, {"start": 1281.2, "end": 1281.86, "word": " تلاتة", "probability": 0.9375}, {"start": 1281.86, "end": 1282.66, "word": " part", "probability": 0.7509765625}, {"start": 1282.66, "end": 1284.26, "word": " c", "probability": 0.41357421875}, {"start": 1284.26, "end": 1286.78, "word": " ايش", "probability": 0.699462890625}, {"start": 1286.78, "end": 1286.9, "word": " ال", "probability": 0.62109375}, {"start": 1286.9, "end": 1287.08, "word": " part", "probability": 0.9580078125}, {"start": 1287.08, "end": 1287.28, "word": " c", "probability": 0.8896484375}, {"start": 1287.28, "end": 1287.42, "word": " في", "probability": 0.85888671875}, {"start": 1287.42, "end": 1287.84, "word": " النظرية", "probability": 0.932373046875}, {"start": 1287.84, "end": 1288.02, "word": " هذه", "probability": 0.28125}, {"start": 1288.02, "end": 1288.98, "word": " بيقول؟", "probability": 0.728271484375}, {"start": 1288.98, "end": 1290.26, "word": " there", "probability": 0.59326171875}, {"start": 1290.26, "end": 1290.9, "word": " exist", "probability": 0.505859375}, {"start": 1290.9, "end": 1293.82, "word": " a", "probability": 0.890625}, {"start": 1293.82, "end": 1294.48, "word": " unique", "probability": 0.8662109375}, {"start": 1294.48, "end": 1294.56, "word": " ..", "probability": 0.2110595703125}, {"start": 1294.56, "end": 1295.28, "word": " طبعا", "probability": 0.842041015625}, {"start": 1295.28, "end": 1295.46, "word": " there", "probability": 0.66357421875}, {"start": 1295.46, "end": 1295.76, "word": " exist", "probability": 0.87646484375}, {"start": 1295.76, "end": 1296.26, "word": " unique", "probability": 0.59716796875}, {"start": 1296.26, "end": 1297.46, "word": " subgroup", "probability": 0.77734375}, {"start": 1297.46, "end": 1302.04, "word": " of", "probability": 0.94482421875}, {"start": 1302.04, "end": 1302.64, "word": " j", "probability": 0.71728515625}, {"start": 1302.64, "end": 1304.5, "word": " with", "probability": 0.91357421875}, {"start": 1304.5, "end": 1305.24, "word": " order", "probability": 0.97021484375}, {"start": 1305.24, "end": 1308.44, "word": " d", "probability": 0.482666015625}, {"start": 1308.44, "end": 1310.1, "word": " namely", "probability": 0.80712890625}], "temperature": 1.0}, {"id": 48, "seek": 133135, "start": 1313.03, "end": 1331.35, "text": "generated by a to n على d طيب هل جيت؟ مده مافيش غير هذه ال subgroup ال order اللي هي دي فالعناصر لل order اللي هي دي ممكن تكون موجودة برا", "tokens": [21848, 770, 538, 257, 281, 297, 15844, 274, 23032, 1829, 3555, 8032, 1211, 10874, 36081, 22807, 3714, 3215, 3224, 19446, 41185, 8592, 32771, 13546, 29538, 2423, 1422, 17377, 2423, 1668, 13672, 1829, 39896, 11778, 1829, 6156, 6027, 3615, 8315, 9381, 2288, 24976, 1668, 13672, 1829, 39896, 11778, 1829, 3714, 43020, 6055, 30544, 3714, 29245, 23328, 3660, 4724, 23557], 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0.5834147135416666}, {"start": 1324.43, "end": 1324.87, "word": " مافيش", "probability": 0.8836263020833334}, {"start": 1324.87, "end": 1325.17, "word": " غير", "probability": 0.967041015625}, {"start": 1325.17, "end": 1325.49, "word": " هذه", "probability": 0.419189453125}, {"start": 1325.49, "end": 1325.65, "word": " ال", "probability": 0.89013671875}, {"start": 1325.65, "end": 1326.09, "word": " subgroup", "probability": 0.501220703125}, {"start": 1326.09, "end": 1326.29, "word": " ال", "probability": 0.58544921875}, {"start": 1326.29, "end": 1326.55, "word": " order", "probability": 0.88671875}, {"start": 1326.55, "end": 1326.77, "word": " اللي", "probability": 0.78466796875}, {"start": 1326.77, "end": 1326.87, "word": " هي", "probability": 0.46484375}, {"start": 1326.87, "end": 1327.19, "word": " دي", "probability": 0.8505859375}, {"start": 1327.19, "end": 1328.67, "word": " فالعناصر", "probability": 0.887451171875}, {"start": 1328.67, "end": 1328.85, "word": " لل", "probability": 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"probability": 0.95166015625}, {"start": 1357.92, "end": 1359.56, "word": " D", "probability": 0.489990234375}, {"start": 1359.56, "end": 1361.28, "word": " are", "probability": 0.85009765625}, {"start": 1361.28, "end": 1362.92, "word": " in", "probability": 0.96044921875}, {"start": 1362.92, "end": 1363.56, "word": " this", "probability": 0.95703125}], "temperature": 1.0}, {"id": 50, "seek": 139290, "start": 1364.16, "end": 1392.9, "text": "subgroup طيب كل العناصر لل order اللي دي موجودين هنا يعني بلو أنا عرفت أكمع عنصر ال order اللي دي في هذه ال subgroup بكون خلصت now each one of these elements", "tokens": [30131, 17377, 23032, 1829, 3555, 28242, 18863, 1863, 33546, 2288, 24976, 1668, 13672, 1829, 11778, 1829, 3714, 29245, 23328, 9957, 34105, 37495, 22653, 4724, 1211, 2407, 41850, 6225, 28480, 2655, 5551, 24793, 3615, 18871, 9381, 2288, 2423, 1668, 13672, 1829, 11778, 1829, 8978, 29538, 2423, 1422, 17377, 4724, 30544, 16490, 1211, 9381, 2655, 586, 1184, 472, 295, 613, 4959], 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"probability": 0.8486328125}, {"start": 1381.24, "end": 1381.96, "word": " subgroup", "probability": 0.8759765625}, {"start": 1381.96, "end": 1383.64, "word": " بكون", "probability": 0.8232421875}, {"start": 1383.64, "end": 1384.24, "word": " خلصت", "probability": 0.968994140625}, {"start": 1384.24, "end": 1385.26, "word": " now", "probability": 0.5419921875}, {"start": 1385.26, "end": 1388.42, "word": " each", "probability": 0.888671875}, {"start": 1388.42, "end": 1389.92, "word": " one", "probability": 0.93994140625}, {"start": 1389.92, "end": 1390.8, "word": " of", "probability": 0.97802734375}, {"start": 1390.8, "end": 1391.4, "word": " these", "probability": 0.69384765625}, {"start": 1391.4, "end": 1392.9, "word": " elements", "probability": 0.88916015625}], "temperature": 1.0}, {"id": 51, "seek": 142457, "start": 1396.39, "end": 1424.57, "text": "is a generator of this subgroup ليش؟ العنصر هذا ال order له دي وموجود في group ال order له دي ايه بيكون لها؟ بيكون لها مولّب، بيكون generator", "tokens": [271, 257, 19265, 295, 341, 1422, 17377, 32239, 8592, 22807, 18863, 1863, 9381, 2288, 23758, 2423, 1668, 46740, 11778, 1829, 4032, 2304, 29245, 23328, 8978, 1594, 2423, 1668, 46740, 11778, 1829, 1975, 1829, 3224, 4724, 1829, 30544, 5296, 11296, 22807, 4724, 1829, 30544, 5296, 11296, 3714, 12610, 11703, 3555, 12399, 4724, 1829, 30544, 19265], "avg_logprob": -0.2431818122213537, "compression_ratio": 1.474820143884892, "no_speech_prob": 0.0, "words": [{"start": 1396.39, "end": 1397.39, "word": "is", "probability": 0.6962890625}, {"start": 1397.39, "end": 1398.39, "word": " a", "probability": 0.7919921875}, {"start": 1398.39, "end": 1398.95, "word": " generator", "probability": 0.9765625}, {"start": 1398.95, "end": 1403.37, "word": " of", "probability": 0.9638671875}, {"start": 1403.37, "end": 1405.87, "word": " this", "probability": 0.916015625}, {"start": 1405.87, "end": 1410.93, "word": " subgroup", "probability": 0.60791015625}, {"start": 1410.93, "end": 1412.71, 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له", "probability": 0.7001953125}, {"start": 1418.81, "end": 1419.57, "word": " دي", "probability": 0.94970703125}, {"start": 1419.57, "end": 1419.99, "word": " ايه", "probability": 0.66845703125}, {"start": 1419.99, "end": 1420.35, "word": " بيكون", "probability": 0.7208658854166666}, {"start": 1420.35, "end": 1422.01, "word": " لها؟", "probability": 0.8445638020833334}, {"start": 1422.01, "end": 1422.43, "word": " بيكون", "probability": 0.793212890625}, {"start": 1422.43, "end": 1422.87, "word": " لها", "probability": 0.95849609375}, {"start": 1422.87, "end": 1423.95, "word": " مولّب،", "probability": 0.7533203125}, {"start": 1423.95, "end": 1424.13, "word": " بيكون", "probability": 0.9837239583333334}, {"start": 1424.13, "end": 1424.57, "word": " generator", "probability": 0.9208984375}], "temperature": 1.0}, {"id": 52, "seek": 145311, "start": 1425.29, "end": 1453.11, "text": "Now if generated by A to N على D ممكن اكتبها generated by P with order ال P بدي سو D then the other generators are of the form", "tokens": [13267, 498, 10833, 538, 316, 281, 426, 15844, 413, 3714, 43020, 1975, 4117, 2655, 3555, 11296, 10833, 538, 430, 365, 1668, 2423, 430, 4724, 16254, 8608, 2407, 413, 550, 264, 661, 38662, 366, 295, 264, 1254], "avg_logprob": -0.2749155502061586, "compression_ratio": 1.1774193548387097, "no_speech_prob": 0.0, "words": [{"start": 1425.29, "end": 1425.83, "word": "Now", "probability": 0.1783447265625}, {"start": 1425.83, "end": 1429.09, "word": " if", "probability": 0.50634765625}, {"start": 1429.09, "end": 1430.53, "word": " generated", "probability": 0.73388671875}, {"start": 1430.53, "end": 1431.55, "word": " by", "probability": 0.97265625}, {"start": 1431.55, "end": 1431.97, "word": " A", "probability": 0.421142578125}, {"start": 1431.97, "end": 1432.41, "word": " to", "probability": 0.90869140625}, {"start": 1432.41, "end": 1432.63, "word": " N", "probability": 0.85546875}, {"start": 1432.63, "end": 1432.85, "word": " على", "probability": 0.7119140625}, {"start": 1432.85, "end": 1433.11, "word": " D", "probability": 0.984375}, {"start": 1433.11, "end": 1434.07, "word": " ممكن", "probability": 0.953125}, {"start": 1434.07, "end": 1434.73, "word": " اكتبها", "probability": 0.93759765625}, {"start": 1434.73, "end": 1435.81, "word": " generated", "probability": 0.548828125}, {"start": 1435.81, "end": 1436.37, "word": " by", "probability": 0.96923828125}, {"start": 1436.37, "end": 1437.11, "word": " P", "probability": 0.91650390625}, {"start": 1437.11, "end": 1438.01, "word": " with", "probability": 0.91064453125}, {"start": 1438.01, "end": 1439.81, "word": " order", "probability": 0.90625}, {"start": 1439.81, "end": 1440.05, "word": " ال", "probability": 0.6025390625}, {"start": 1440.05, "end": 1440.25, "word": " P", "probability": 0.50244140625}, {"start": 1440.25, "end": 1440.55, "word": " بدي", "probability": 0.712646484375}, {"start": 1440.55, "end": 1440.89, "word": " سو", "probability": 0.5025634765625}, {"start": 1440.89, "end": 1441.17, "word": " D", "probability": 0.66796875}, {"start": 1441.17, "end": 1442.21, "word": " then", "probability": 0.57080078125}, {"start": 1442.21, "end": 1444.95, "word": " the", "probability": 0.8271484375}, {"start": 1444.95, "end": 1445.47, "word": " other", "probability": 0.8955078125}, {"start": 1445.47, "end": 1450.13, "word": " generators", "probability": 0.96533203125}, {"start": 1450.13, "end": 1452.13, "word": " are", "probability": 0.94140625}, {"start": 1452.13, "end": 1452.41, "word": " of", "probability": 0.98046875}, {"start": 1452.41, "end": 1452.61, "word": " the", "probability": 0.94091796875}, {"start": 1452.61, "end": 1453.11, "word": " form", "probability": 0.9091796875}], "temperature": 1.0}, {"id": 53, "seek": 147767, "start": 1456.33, "end": 1477.67, "text": "B to K والجريس common divisor لD وK وD سوى 1 رجع ليش لنظرية اللي أخدناها في أول الشبتر ان ال generator او ال .. ال .. حيكون عبارة عن عناصر", "tokens": [33, 281, 591, 16070, 7435, 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order", "probability": 0.95654296875}, {"start": 1529.59, "end": 1530.51, "word": " D", "probability": 0.94189453125}, {"start": 1530.51, "end": 1531.55, "word": " is", "probability": 0.93603515625}, {"start": 1531.55, "end": 1532.63, "word": " فاية", "probability": 0.8894856770833334}, {"start": 1532.63, "end": 1533.03, "word": " D", "probability": 0.96044921875}, {"start": 1533.03, "end": 1535.11, "word": " وهو", "probability": 0.690673828125}, {"start": 1535.11, "end": 1535.51, "word": " المطلوب", "probability": 0.9898681640625}], "temperature": 1.0}, {"id": 56, "seek": 156843, "start": 1542.17, "end": 1568.43, "text": "اللي صار كانت تانية يا شباب انا بدور على عناصر لل order الهدى نقلت المسألة من اني ابحث في ال ج كلها لاني ابحث وين في ال sub group لل order الهدى ميزة العناصر هنا لل order الهدى انها generator انا عشان اعدى كام generator باخد واحد من هذه ال generators فليكن بيه و باقى ال generators عبارة عن P to K و ال K relative لبرايم مع مين", "tokens": [6027, 20292, 20328, 9640, 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1939.23, "word": " إن", "probability": 0.4501953125}, {"start": 1939.23, "end": 1939.67, "word": " الطالب", "probability": 0.99365234375}, {"start": 1939.67, "end": 1940.73, "word": " يقدر", "probability": 0.9957682291666666}, {"start": 1940.73, "end": 1942.69, "word": " يعرفها", "probability": 0.88525390625}, {"start": 1942.69, "end": 1943.73, "word": " لوحده", "probability": 0.8362630208333334}], "temperature": 1.0}, {"id": 70, "seek": 199104, "start": 1963.42, "end": 1991.04, "text": "السؤال الأول find all generator of z6, z8, z20 طبعا ال generator غيرنا عبارة عن مين؟ لو طلعنا على نظرية أو corollary لنظرية الأولى كان بيقولك ال generator ل zn هي عبارة عن مين؟ عن الأرقام اللي relative ل برايم مع ال n اللي هي فعليا عبارة عناش؟ عناصر ال UN", "tokens": [6027, 3794, 33604, 6027, 16247, 12610, 915, 439, 19265, 295, 710, 21, 11, 710, 23, 11, 710, 2009, 23032, 3555, 3615, 995, 2423, 19265, 32771, 13546, 8315, 6225, 3555, 9640, 3660, 18871, 3714, 9957, 22807, 45164, 23032, 1211, 3615, 8315, 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1966.78, "end": 1967.08, "word": " of", "probability": 0.8837890625}, {"start": 1967.08, "end": 1967.84, "word": " z6,", "probability": 0.739990234375}, {"start": 1967.98, "end": 1968.48, "word": " z8,", "probability": 0.796142578125}, {"start": 1968.6, "end": 1969.2, "word": " z20", "probability": 0.953857421875}, {"start": 1969.2, "end": 1971.02, "word": " طبعا", "probability": 0.86614990234375}, {"start": 1971.02, "end": 1971.12, "word": " ال", "probability": 0.6328125}, {"start": 1971.12, "end": 1971.5, "word": " generator", "probability": 0.85546875}, {"start": 1971.5, "end": 1971.8, "word": " غيرنا", "probability": 0.6267903645833334}, {"start": 1971.8, "end": 1972.1, "word": " عبارة", "probability": 0.97900390625}, {"start": 1972.1, "end": 1972.32, "word": " عن", "probability": 0.98388671875}, {"start": 1972.32, "end": 1974.2, "word": " مين؟", "probability": 0.5756022135416666}, {"start": 1974.2, "end": 1975.6, "word": " لو", "probability": 0.65625}, {"start": 1975.6, "end": 1976.3, "word": " طلعنا", "probability": 0.789306640625}, {"start": 1976.3, "end": 1976.66, "word": " على", "probability": 0.89453125}, {"start": 1976.66, "end": 1979.08, "word": " نظرية", "probability": 0.901611328125}, {"start": 1979.08, "end": 1979.56, "word": " أو", "probability": 0.60009765625}, {"start": 1979.56, "end": 1980.16, "word": " corollary", "probability": 0.677490234375}, {"start": 1980.16, "end": 1980.78, "word": " لنظرية", "probability": 0.916015625}, {"start": 1980.78, "end": 1981.92, "word": " الأولى", "probability": 0.9645182291666666}, {"start": 1981.92, "end": 1982.14, "word": " كان", "probability": 0.60107421875}, {"start": 1982.14, "end": 1982.44, "word": " بيقولك", "probability": 0.88232421875}, {"start": 1982.44, "end": 1982.54, "word": " ال", "probability": 0.8818359375}, {"start": 1982.54, "end": 1982.92, "word": " generator", "probability": 0.9814453125}, {"start": 1982.92, "end": 1983.18, "word": " ل", "probability": 0.91650390625}, {"start": 1983.18, 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1987.68, "word": " ال", "probability": 0.947265625}, {"start": 1987.68, "end": 1987.86, "word": " n", "probability": 0.4814453125}, {"start": 1987.86, "end": 1987.98, "word": " اللي", "probability": 0.898193359375}, {"start": 1987.98, "end": 1988.12, "word": " هي", "probability": 0.677734375}, {"start": 1988.12, "end": 1988.58, "word": " فعليا", "probability": 0.8529052734375}, {"start": 1988.58, "end": 1988.88, "word": " عبارة", "probability": 0.9708251953125}, {"start": 1988.88, "end": 1990.16, "word": " عناش؟", "probability": 0.57958984375}, {"start": 1990.16, "end": 1990.74, "word": " عناصر", "probability": 0.9835611979166666}, {"start": 1990.74, "end": 1990.86, "word": " ال", "probability": 0.974609375}, {"start": 1990.86, "end": 1991.04, "word": " UN", "probability": 0.51953125}], "temperature": 1.0}, {"id": 71, "seek": 201355, "start": 1991.87, "end": 2013.55, "text": "فلو داشت على ز داش ز تلاتين او ز عشرين منهم ما هيكونوا واحد و تلاتة و سبعة و تسعة احداش تلاتاش سبعتاش تسعة عشر 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"avg_logprob": -0.21765988302785297, "compression_ratio": 1.2323232323232323, "no_speech_prob": 0.0, "words": [{"start": 2096.31, "end": 2096.59, "word": "C", "probability": 0.4306640625}, {"start": 2096.59, "end": 2096.77, "word": " plus", "probability": 0.027618408203125}, {"start": 2096.77, "end": 2097.19, "word": " 1", "probability": 0.86767578125}, {"start": 2097.19, "end": 2097.75, "word": " هي", "probability": 0.84716796875}, {"start": 2097.75, "end": 2098.01, "word": " نفس", "probability": 0.99267578125}, {"start": 2098.01, "end": 2098.17, "word": " الـ", "probability": 0.840576171875}, {"start": 2098.17, "end": 2098.39, "word": " C", "probability": 0.609375}, {"start": 2098.39, "end": 2107.45, "word": " سؤال", "probability": 0.892578125}, {"start": 2107.45, "end": 2108.03, "word": " أربعة", "probability": 0.76953125}, {"start": 2108.03, "end": 2108.61, "word": " زي", "probability": 0.8935546875}, {"start": 2108.61, "end": 2108.91, "word": " سؤال", "probability": 0.9918619791666666}, {"start": 2108.91, "end": 2109.49, "word": " تلاتة", "probability": 0.92236328125}, {"start": 2109.49, "end": 2110.95, "word": " سؤال", "probability": 0.9283854166666666}, {"start": 2110.95, "end": 2112.11, "word": " خمسة", "probability": 0.904541015625}, {"start": 2112.11, "end": 2113.33, "word": " في", "probability": 0.394775390625}, {"start": 2113.33, "end": 2113.87, "word": " شغل", "probability": 0.8709309895833334}, {"start": 2113.87, "end": 2116.53, "word": " نشغل", "probability": 0.8543701171875}, {"start": 2116.53, "end": 2116.65, "word": " في", "probability": 0.94677734375}, {"start": 2116.65, "end": 2117.77, "word": " U20", "probability": 0.838134765625}], "temperature": 1.0}, {"id": 76, "seek": 214763, "start": 2119.21, "end": 2147.63, "text": "يو عشرين جديش يا شباب؟ واحد، تلاتة، سبعة، تسعة، داشر، تلتاشر، سبعتاشر، تسعة، اتاشر List the elements of generated by تلاتة وسبعة ناخد generated by سبعة مثلا اللي عبارة عن الواحد السبعة سبعة تغبيع جديش؟ تسعة 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"end": 2127.63, "word": " تسعة،", "probability": 0.81475830078125}, {"start": 2127.63, "end": 2128.13, "word": " اتاشر", "probability": 0.7889404296875}, {"start": 2128.13, "end": 2129.33, "word": " List", "probability": 0.226806640625}, {"start": 2129.33, "end": 2130.01, "word": " the", "probability": 0.8701171875}, {"start": 2130.01, "end": 2130.43, "word": " elements", "probability": 0.8837890625}, {"start": 2130.43, "end": 2130.65, "word": " of", "probability": 0.8193359375}, {"start": 2130.65, "end": 2131.11, "word": " generated", "probability": 0.8056640625}, {"start": 2131.11, "end": 2131.61, "word": " by", "probability": 0.9765625}, {"start": 2131.61, "end": 2132.17, "word": " تلاتة", "probability": 0.8997802734375}, {"start": 2132.17, "end": 2132.77, "word": " وسبعة", "probability": 0.7275390625}, {"start": 2132.77, "end": 2133.47, "word": " ناخد", "probability": 0.9156901041666666}, {"start": 2133.47, "end": 2133.87, "word": " generated", "probability": 0.78125}, {"start": 2133.87, "end": 2134.13, "word": " by", "probability": 0.98388671875}, {"start": 2134.13, "end": 2134.43, "word": " سبعة", "probability": 0.9381510416666666}, {"start": 2134.43, "end": 2135.41, "word": " مثلا", "probability": 0.93896484375}, {"start": 2135.41, "end": 2136.73, "word": " اللي", "probability": 0.702880859375}, {"start": 2136.73, "end": 2137.19, "word": " عبارة", "probability": 0.9886474609375}, {"start": 2137.19, "end": 2137.97, "word": " عن", "probability": 0.9970703125}, {"start": 2137.97, "end": 2138.65, "word": " الواحد", "probability": 0.984375}, {"start": 2138.65, "end": 2139.47, "word": " السبعة", "probability": 0.7750651041666666}, {"start": 2139.47, "end": 2140.67, "word": " سبعة", "probability": 0.8758138020833334}, {"start": 2140.67, "end": 2141.89, "word": " تغبيع", "probability": 0.77093505859375}, {"start": 2141.89, "end": 2143.25, "word": " جديش؟", "probability": 0.72259521484375}, {"start": 2143.25, "end": 2144.61, "word": " تسعة", "probability": 0.95458984375}, {"start": 2144.61, "end": 2145.15, "word": " واربعين", "probability": 0.8580078125}, {"start": 2145.15, "end": 2145.67, "word": " مدة", "probability": 0.51708984375}, {"start": 2145.67, "end": 2146.05, "word": " عشرين", "probability": 0.70751953125}, {"start": 2146.05, "end": 2146.67, "word": " جديش؟", "probability": 0.9346923828125}, {"start": 2146.67, "end": 2147.63, "word": " تسعة", "probability": 0.9837239583333334}], "temperature": 1.0}, {"id": 77, "seek": 217798, "start": 2148.44, "end": 2177.98, "text": "سبعة تكيب يعني سبعة في تسعة تلاتة قصتين تلاتة سبعة أربعة يعني سبعة في تلاتة يعني واحد و عشرين و واحد طبعا generated by تلاتة عبارة عن من؟ واحد تلاتة تلاتة تربية تسعة بعدين سبعة و عشرين سبعة بعدين حتيجة", "tokens": [35457, 27884, 6055, 4117, 1829, 3555, 37495, 22653, 8608, 3555, 27884, 8978, 6055, 3794, 27884, 6055, 1211, 9307, 3660, 12174, 9381, 2655, 9957, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 5551, 25513, 27884, 37495, 22653, 8608, 3555, 27884, 8978, 6055, 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"probability": 0.9845377604166666}, {"start": 2151.7, "end": 2153.74, "word": " تلاتة", "probability": 0.861572265625}, {"start": 2153.74, "end": 2155.02, "word": " قصتين", "probability": 0.56610107421875}, {"start": 2155.02, "end": 2157.72, "word": " تلاتة", "probability": 0.77587890625}, {"start": 2157.72, "end": 2159.54, "word": " سبعة", "probability": 0.8424479166666666}, {"start": 2159.54, "end": 2161.54, "word": " أربعة", "probability": 0.6748860677083334}, {"start": 2161.54, "end": 2162.32, "word": " يعني", "probability": 0.82275390625}, {"start": 2162.32, "end": 2162.62, "word": " سبعة", "probability": 0.94970703125}, {"start": 2162.62, "end": 2162.74, "word": " في", "probability": 0.966796875}, {"start": 2162.74, "end": 2163.1, "word": " تلاتة", "probability": 0.9730224609375}, {"start": 2163.1, "end": 2163.24, "word": " يعني", "probability": 0.8916015625}, {"start": 2163.24, "end": 2163.48, "word": " واحد", "probability": 0.96337890625}, {"start": 2163.48, "end": 2163.58, 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" تلاتة", "probability": 0.9056396484375}, {"start": 2173.34, "end": 2174.02, "word": " تلاتة", "probability": 0.9111328125}, {"start": 2174.02, "end": 2174.36, "word": " تربية", "probability": 0.8956705729166666}, {"start": 2174.36, "end": 2174.8, "word": " تسعة", "probability": 0.97705078125}, {"start": 2174.8, "end": 2175.58, "word": " بعدين", "probability": 0.6116943359375}, {"start": 2175.58, "end": 2175.82, "word": " سبعة", "probability": 0.9557291666666666}, {"start": 2175.82, "end": 2175.94, "word": " و", "probability": 0.93017578125}, {"start": 2175.94, "end": 2176.2, "word": " عشرين", "probability": 0.93212890625}, {"start": 2176.2, "end": 2176.64, "word": " سبعة", "probability": 0.9129231770833334}, {"start": 2176.64, "end": 2177.6, "word": " بعدين", "probability": 0.919921875}, {"start": 2177.6, "end": 2177.98, "word": " حتيجة", "probability": 0.67816162109375}], "temperature": 1.0}, {"id": 78, "seek": 220942, "start": 2181.63, "end": 2209.43, "text": "طيب سؤال السادس what do exercises تلاتة و أربعة و خمسة have in common try to make a generalization that includes these three cases انت لما تحل سؤال تلاتة و أربعة و خمسة ايش بتستنتجه؟ ايش السنتجات اللي ممكن تستنتجها؟ لو طلعنا على خمسة", "tokens": [9566, 1829, 3555, 8608, 33604, 6027, 21136, 18513, 3794, 437, 360, 11900, 6055, 1211, 9307, 3660, 4032, 5551, 25513, 27884, 4032, 16490, 2304, 3794, 3660, 362, 294, 2689, 853, 281, 652, 257, 2674, 2144, 300, 5974, 613, 1045, 3331, 16472, 2655, 5296, 15042, 6055, 5016, 1211, 8608, 33604, 6027, 6055, 1211, 9307, 3660, 4032, 5551, 25513, 27884, 4032, 16490, 2304, 3794, 3660, 1975, 1829, 8592, 39894, 14851, 29399, 7435, 3224, 22807, 1975, 1829, 8592, 21136, 29399, 7435, 9307, 13672, 1829, 3714, 43020, 6055, 14851, 29399, 7435, 11296, 22807, 45164, 23032, 1211, 3615, 8315, 15844, 16490, 2304, 3794, 3660], "avg_logprob": -0.13920454545454544, "compression_ratio": 1.6428571428571428, "no_speech_prob": 0.0, "words": [{"start": 2181.6299999999997, "end": 2182.49, "word": 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{"id": 83, "seek": 234709, "start": 2321.15, "end": 2347.09, "text": "let a be an element of a group and let order a بسوا 15 compute the orders of the following طبعا هذا سهل مثلا ال order ل a أس 9 عبارة عن عبارة عن إيش ال order ل a أس k عبارة عن إيش في نظرية في أول واحدة خدناها and على", "tokens": [2631, 257, 312, 364, 4478, 295, 257, 1594, 293, 718, 1668, 257, 4724, 3794, 14407, 2119, 14722, 264, 9470, 295, 264, 3480, 23032, 3555, 3615, 995, 23758, 8608, 3224, 1211, 50113, 15040, 2423, 1668, 5296, 257, 5551, 3794, 1722, 6225, 3555, 9640, 3660, 18871, 6225, 3555, 9640, 3660, 18871, 11933, 1829, 8592, 2423, 1668, 5296, 257, 5551, 3794, 350, 6225, 3555, 9640, 3660, 18871, 11933, 1829, 8592, 8978, 8717, 19913, 2288, 10632, 8978, 5551, 12610, 36764, 24401, 3660, 16490, 3215, 8315, 11296, 293, 15844], "avg_logprob": -0.26158087113324335, "compression_ratio": 1.588235294117647, "no_speech_prob": 0.0, "words": [{"start": 2321.15, "end": 2321.45, "word": "let", "probability": 0.43603515625}, 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"end": 2365.05, "word": " نفس", "probability": 0.80126953125}, {"start": 2365.05, "end": 2365.83, "word": " القصة", "probability": 0.9873046875}, {"start": 2365.83, "end": 2367.21, "word": " في", "probability": 0.94873046875}, {"start": 2367.21, "end": 2367.45, "word": " c", "probability": 0.939453125}], "temperature": 1.0}, {"id": 85, "seek": 239889, "start": 2373.53, "end": 2398.89, "text": "سؤال تسعة how many subgroups of Z20 توحى لنا توحى لنا شباب في Z20 كام subgroup اللي أجى؟ عوام ال 20 عوام ال 20 و لا عوام ال 20؟ لأ عوام ال 20 generator لكن subgroup احنا قلنا فيه عددين عدد ال subgroups اللي هو عدد القواسم", "tokens": [3794, 33604, 6027, 6055, 3794, 27884, 577, 867, 1422, 17377, 82, 295, 1176, 2009, 6055, 2407, 5016, 7578, 5296, 8315, 6055, 2407, 5016, 7578, 5296, 8315, 13412, 3555, 16758, 8978, 1176, 2009, 9122, 10943, 1422, 17377, 13672, 1829, 5551, 7435, 7578, 22807, 6225, 2407, 10943, 2423, 945, 6225, 2407, 10943, 2423, 945, 4032, 20193, 6225, 2407, 10943, 2423, 945, 22807, 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"probability": 0.4996337890625}, {"start": 2378.95, "end": 2379.21, "word": " لنا", "probability": 0.7286376953125}, {"start": 2379.21, "end": 2381.33, "word": " توحى", "probability": 0.80133056640625}, {"start": 2381.33, "end": 2381.65, "word": " لنا", "probability": 0.9873046875}, {"start": 2381.65, "end": 2381.99, "word": " شباب", "probability": 0.8321940104166666}, {"start": 2381.99, "end": 2383.07, "word": " في", "probability": 0.65673828125}, {"start": 2383.07, "end": 2383.51, "word": " Z20", "probability": 0.936767578125}, {"start": 2383.51, "end": 2383.75, "word": " كام", "probability": 0.5169677734375}, {"start": 2383.75, "end": 2384.17, "word": " subgroup", "probability": 0.938720703125}, {"start": 2384.17, "end": 2384.33, "word": " اللي", "probability": 0.5865478515625}, {"start": 2384.33, "end": 2386.07, "word": " أجى؟", "probability": 0.54302978515625}, {"start": 2386.07, "end": 2386.63, "word": " عوام", "probability": 0.761962890625}, {"start": 2386.63, "end": 2386.71, 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ال", "probability": 0.9091796875}, {"start": 2391.67, "end": 2391.85, "word": " 20", "probability": 0.92333984375}, {"start": 2391.85, "end": 2392.31, "word": " generator", "probability": 0.64453125}, {"start": 2392.31, "end": 2393.31, "word": " لكن", "probability": 0.329345703125}, {"start": 2393.31, "end": 2394.01, "word": " subgroup", "probability": 0.781494140625}, {"start": 2394.01, "end": 2394.23, "word": " احنا", "probability": 0.85888671875}, {"start": 2394.23, "end": 2394.41, "word": " قلنا", "probability": 0.700927734375}, {"start": 2394.41, "end": 2394.83, "word": " فيه", "probability": 0.8330078125}, {"start": 2394.83, "end": 2395.65, "word": " عددين", "probability": 0.9014892578125}, {"start": 2395.65, "end": 2396.41, "word": " عدد", "probability": 0.9469401041666666}, {"start": 2396.41, "end": 2396.53, "word": " ال", "probability": 0.83349609375}, {"start": 2396.53, "end": 2397.49, "word": " subgroups", "probability": 0.84521484375}, {"start": 2397.49, "end": 2397.89, 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