{"segments": [{"id": 1, "seek": 4139, "start": 21.09, "end": 41.39, "text": "أحنا واصل ما بدأنا فيه المرة الماضية و هو حل اللي هو المسائل على شبتر تمانية الاكستاناداركت برودرك وصلنا لسؤال واحد واربعين بقول express automorphism ل U خمسة وعشرين in the form ZM اكستاناداركت برودرك مع ZN", "tokens": [10721, 5016, 8315, 4032, 33546, 1211, 19446, 47525, 10721, 8315, 8978, 3224, 9673, 25720, 9673, 46958, 10632, 4032, 31439, 11331, 1211, 13672, 1829, 31439, 9673, 3794, 16373, 1211, 15844, 13412, 3555, 2655, 2288, 46811, 7649, 10632, 42963, 4117, 14851, 7649, 18513, 9640, 4117, 2655, 4724, 32887, 3215, 31747, 4032, 36520, 8315, 5296, 3794, 33604, 6027, 36764, 24401, 4032, 9640, 3555, 3615, 9957, 4724, 39648, 5109, 3553, 18191, 1434, 5296, 624, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 294, 264, 1254, 1176, 44, 1975, 4117, 14851, 7649, 18513, 9640, 4117, 2655, 4724, 32887, 3215, 31747, 20449, 1176, 45], "avg_logprob": -0.2571022865748165, "compression_ratio": 1.6490384615384615, 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80.69, "end": 81.69, "word": " مباشرة", "probability": 0.9901123046875}, {"start": 81.69, "end": 83.73, "word": " طبعا", "probability": 0.8551025390625}, {"start": 83.73, "end": 84.57, "word": " اخدت", "probability": 0.809326171875}, {"start": 84.57, "end": 85.11, "word": " عندك", "probability": 0.9716796875}, {"start": 85.11, "end": 85.43, "word": " ان", "probability": 0.79443359375}, {"start": 85.43, "end": 86.21, "word": " ال", "probability": 0.912109375}, {"start": 86.21, "end": 86.63, "word": " U", "probability": 0.9619140625}, {"start": 86.63, "end": 89.27, "word": " مرفوعة", "probability": 0.79449462890625}, {"start": 89.27, "end": 89.89, "word": " ل", "probability": 0.9287109375}, {"start": 89.89, "end": 90.47, "word": " prime", "probability": 0.529296875}, {"start": 90.47, "end": 91.05, "word": " P", "probability": 0.94189453125}, {"start": 91.05, "end": 91.85, "word": " ومرفوعة", "probability": 0.81982421875}, {"start": 91.85, "end": 92.03, "word": " ل", "probability": 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الكلام", "probability": 0.935546875}, {"start": 106.63, "end": 107.17, "word": " عالميا", "probability": 0.8092447916666666}, {"start": 107.17, "end": 107.93, "word": " على", "probability": 0.830078125}, {"start": 107.93, "end": 108.71, "word": " أرض", "probability": 0.940185546875}, {"start": 108.71, "end": 109.69, "word": " الواقع", "probability": 0.9859619140625}, {"start": 109.69, "end": 110.59, "word": " يبقى", "probability": 0.900390625}, {"start": 110.59, "end": 110.95, "word": " بناء", "probability": 0.92919921875}, {"start": 110.95, "end": 111.37, "word": " عليه", "probability": 0.8349609375}, {"start": 111.37, "end": 111.59, "word": " يو", "probability": 0.4898681640625}, {"start": 111.59, "end": 112.03, "word": " خمسة", "probability": 0.8387451171875}, {"start": 112.03, "end": 112.43, "word": " وعشرين", "probability": 0.9013671875}, {"start": 112.43, "end": 113.05, "word": " كتبناها", "probability": 0.98349609375}, {"start": 113.05, "end": 113.57, "word": " بالشكل", 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"avg_logprob": -0.27040815353393555, "compression_ratio": 1.2831858407079646, "no_speech_prob": 0.0, "words": [{"start": 122.50999999999999, "end": 123.63, "word": "Isomorphic", "probability": 0.65703125}, {"start": 123.63, "end": 124.75, "word": " لزد", "probability": 0.5157063802083334}, {"start": 124.75, "end": 125.31, "word": " P", "probability": 0.66796875}, {"start": 125.31, "end": 125.65, "word": " اللي", "probability": 0.43975830078125}, {"start": 125.65, "end": 125.91, "word": " هي", "probability": 0.88037109375}, {"start": 125.91, "end": 126.65, "word": " خمسة", "probability": 0.8946533203125}, {"start": 126.65, "end": 127.45, "word": " تربيع", "probability": 0.90380859375}, {"start": 127.45, "end": 128.57, "word": " ناقص", "probability": 0.972412109375}, {"start": 128.57, "end": 129.55, "word": " خمسة", "probability": 0.9129638671875}, {"start": 129.55, "end": 129.87, "word": " أس", "probability": 0.4219970703125}, {"start": 129.87, "end": 130.49, "word": " اتنين", "probability": 0.8253173828125}, {"start": 130.49, "end": 131.23, "word": " ناقص", "probability": 0.9677734375}, {"start": 131.23, "end": 131.59, "word": " واحد", "probability": 0.990234375}, {"start": 131.59, "end": 132.05, "word": " بالشكل", "probability": 0.9599609375}, {"start": 132.05, "end": 132.19, "word": " اللي", "probability": 0.979248046875}, {"start": 132.19, "end": 132.59, "word": " عندنا", "probability": 0.776123046875}, {"start": 132.59, "end": 132.75, "word": " هنا", "probability": 0.92333984375}], "temperature": 1.0}, {"id": 6, "seek": 15457, "start": 133.61, "end": 154.57, "text": "يبقى هذا الكلام هذه تساوي من خمسة ترابيع ليه خمسة وعشرين وهذه خمسة وسواحد يبقى زد عشرين شكل اللي عندنا هنا هذا U خمسة وعشرين انا مابدي U خمسة وعشرين بدي اتومورفزم ل U خمسة وعشرين", "tokens": [1829, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 29538, 6055, 3794, 995, 45865, 9154, 16490, 2304, 3794, 3660, 6055, 2288, 16758, 40228, 32239, 3224, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 37037, 24192, 16490, 2304, 3794, 3660, 46952, 14407, 24401, 7251, 3555, 4587, 7578, 30767, 3215, 6225, 46309, 9957, 13412, 28820, 13672, 1829, 43242, 8315, 34105, 23758, 624, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 1975, 8315, 3714, 16758, 16254, 624, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 4724, 16254, 1975, 2655, 20498, 13063, 5172, 11622, 2304, 5296, 624, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957], "avg_logprob": -0.2363861344828464, "compression_ratio": 2.1059602649006623, "no_speech_prob": 0.0, "words": [{"start": 133.61, "end": 134.11, "word": "يبقى", "probability": 0.76019287109375}, {"start": 134.11, "end": 134.39, "word": " هذا", "probability": 0.79833984375}, {"start": 134.39, "end": 135.05, "word": " الكلام", "probability": 0.8689778645833334}, {"start": 135.05, "end": 135.47, "word": " هذه", "probability": 0.1519775390625}, {"start": 135.47, "end": 136.23, "word": " تساوي", "probability": 0.8990478515625}, {"start": 136.23, "end": 136.63, "word": 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شكل", "probability": 0.62841796875}, {"start": 146.23, "end": 146.37, "word": " اللي", "probability": 0.960693359375}, {"start": 146.37, "end": 146.77, "word": " عندنا", "probability": 0.671142578125}, {"start": 146.77, "end": 147.09, "word": " هنا", "probability": 0.697265625}, {"start": 147.09, "end": 147.85, "word": " هذا", "probability": 0.7373046875}, {"start": 147.85, "end": 147.97, "word": " U", "probability": 0.73681640625}, {"start": 147.97, "end": 148.45, "word": " خمسة", "probability": 0.97216796875}, {"start": 148.45, "end": 148.83, "word": " وعشرين", "probability": 0.9757080078125}, {"start": 148.83, "end": 149.17, "word": " انا", "probability": 0.7091064453125}, {"start": 149.17, "end": 149.59, "word": " مابدي", "probability": 0.7664388020833334}, {"start": 149.59, "end": 149.81, "word": " U", "probability": 0.93310546875}, {"start": 149.81, "end": 150.27, "word": " خمسة", "probability": 0.991455078125}, {"start": 150.27, "end": 150.91, "word": " وعشرين", "probability": 0.9764404296875}, {"start": 150.91, "end": 151.71, "word": " بدي", "probability": 0.854736328125}, {"start": 151.71, "end": 153.07, "word": " اتومورفزم", "probability": 0.6970563616071429}, {"start": 153.07, "end": 153.25, "word": " ل", "probability": 0.8994140625}, {"start": 153.25, "end": 153.49, "word": " U", "probability": 0.87939453125}, {"start": 153.49, "end": 153.97, "word": " خمسة", "probability": 0.9888916015625}, {"start": 153.97, "end": 154.57, "word": " وعشرين", "probability": 0.984375}], "temperature": 1.0}, {"id": 7, "seek": 17312, "start": 154.88, "end": 173.12, "text": "إذا بناء عليه atomorphism ل U خمسة وعشرين اللي هي isomorphic لمهم اللي هو atomorphism ل Z عشرين الشكل اللي عندنا هنا", "tokens": [28814, 15730, 44945, 16606, 47356, 12018, 18191, 1434, 5296, 624, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 13672, 1829, 39896, 307, 32702, 299, 32767, 16095, 13672, 1829, 31439, 12018, 18191, 1434, 5296, 1176, 6225, 46309, 9957, 25124, 28820, 13672, 1829, 43242, 8315, 34105], "avg_logprob": -0.35052083598242867, "compression_ratio": 1.4508196721311475, "no_speech_prob": 0.0, "words": [{"start": 154.88, "end": 155.3, "word": "إذا", "probability": 0.53863525390625}, {"start": 155.3, "end": 155.84, "word": " بناء", "probability": 0.870361328125}, {"start": 155.84, "end": 156.46, "word": " عليه", "probability": 0.90673828125}, {"start": 156.46, "end": 158.54, "word": " atomorphism", "probability": 0.6211751302083334}, {"start": 158.54, "end": 159.26, "word": " ل", "probability": 0.625}, {"start": 159.26, "end": 159.6, "word": " U", "probability": 0.41064453125}, {"start": 159.6, "end": 160.72, "word": " خمسة", "probability": 0.91357421875}, {"start": 160.72, "end": 162.0, "word": " وعشرين", "probability": 0.91162109375}, {"start": 162.0, "end": 162.76, "word": " اللي", "probability": 0.52056884765625}, {"start": 162.76, "end": 162.96, "word": " هي", "probability": 0.75732421875}, {"start": 162.96, "end": 164.48, "word": " isomorphic", "probability": 0.76953125}, {"start": 164.48, "end": 165.06, "word": " لمهم", "probability": 0.4635009765625}, {"start": 165.06, "end": 167.38, "word": " اللي", "probability": 0.815185546875}, {"start": 167.38, "end": 167.58, "word": " هو", "probability": 0.931640625}, {"start": 167.58, "end": 169.46, "word": " atomorphism", "probability": 0.69287109375}, {"start": 169.46, "end": 170.12, "word": " ل", "probability": 0.9453125}, {"start": 170.12, "end": 170.56, "word": " Z", "probability": 0.67578125}, {"start": 170.56, "end": 171.82, "word": " عشرين", "probability": 0.9524739583333334}, {"start": 171.82, "end": 172.46, "word": " الشكل", "probability": 0.7744140625}, {"start": 172.46, "end": 172.64, "word": " اللي", "probability": 0.981201171875}, {"start": 172.64, "end": 172.92, "word": " عندنا", "probability": 0.777587890625}, {"start": 172.92, "end": 173.12, "word": " هنا", "probability": 0.46240234375}], "temperature": 1.0}, {"id": 8, "seek": 19083, "start": 173.89, "end": 190.83, "text": "أخذنا كمان نظرية سابقة اتومورفزم ل ZN ايزو مورفك ل UN شبطر اللي قبله اخر نظرية يبقى هذا ايزو مورفك ل U20", "tokens": [10721, 9778, 8848, 8315, 9122, 2304, 7649, 8717, 19913, 2288, 10632, 8608, 16758, 28671, 1975, 2655, 20498, 13063, 5172, 11622, 2304, 5296, 1176, 45, 1975, 1829, 11622, 2407, 3714, 13063, 5172, 4117, 5296, 8229, 13412, 3555, 9566, 2288, 13672, 1829, 12174, 36150, 3224, 1975, 34740, 8717, 19913, 2288, 10632, 7251, 3555, 4587, 7578, 23758, 1975, 1829, 11622, 2407, 3714, 13063, 5172, 4117, 5296, 624, 2009], "avg_logprob": -0.31344696202061395, "compression_ratio": 1.4634146341463414, "no_speech_prob": 0.0, "words": [{"start": 173.89, "end": 174.75, "word": "أخذنا", "probability": 0.68707275390625}, {"start": 174.75, "end": 175.25, "word": " كمان", "probability": 0.7110188802083334}, {"start": 175.25, "end": 176.09, "word": " نظرية", "probability": 0.9757080078125}, {"start": 176.09, "end": 176.89, "word": " سابقة", "probability": 0.9627278645833334}, {"start": 176.89, "end": 178.89, "word": " اتومورفزم", "probability": 0.5095999581473214}, {"start": 178.89, "end": 179.49, "word": " ل", "probability": 0.78564453125}, {"start": 179.49, "end": 180.93, "word": " ZN", "probability": 0.3651123046875}, {"start": 180.93, "end": 181.69, "word": " ايزو", "probability": 0.68408203125}, {"start": 181.69, "end": 182.25, "word": " مورفك", "probability": 0.9014892578125}, {"start": 182.25, "end": 182.57, "word": " ل", "probability": 0.9501953125}, {"start": 182.57, "end": 183.47, "word": " UN", "probability": 0.6767578125}, {"start": 183.47, "end": 184.23, "word": " شبطر", "probability": 0.6033935546875}, {"start": 184.23, "end": 184.41, "word": " اللي", "probability": 0.856201171875}, {"start": 184.41, "end": 184.81, "word": " قبله", "probability": 0.733154296875}, {"start": 184.81, "end": 185.27, "word": " اخر", "probability": 0.766357421875}, {"start": 185.27, "end": 186.03, "word": " نظرية", "probability": 0.991455078125}, {"start": 186.03, "end": 187.03, "word": " يبقى", "probability": 0.9427490234375}, {"start": 187.03, "end": 187.45, "word": " هذا", "probability": 0.80322265625}, {"start": 187.45, "end": 188.31, "word": " ايزو", "probability": 0.96875}, {"start": 188.31, "end": 189.07, "word": " مورفك", "probability": 0.9781494140625}, {"start": 189.07, "end": 189.47, "word": " ل", "probability": 0.91748046875}, {"start": 189.47, "end": 190.83, "word": " U20", "probability": 0.809814453125}], "temperature": 1.0}, {"id": 9, "seek": 20762, "start": 191.92, "end": 207.62, "text": "U20 هذه اللي بقدر اكتبها اللي هي تساوي U أربعة في خمسة والاربعة خمسة are relatively prime يبقى هذه isomorphic لمين", "tokens": [52, 2009, 29538, 13672, 1829, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 11296, 13672, 1829, 39896, 6055, 3794, 995, 45865, 624, 5551, 25513, 27884, 8978, 16490, 2304, 3794, 3660, 16070, 9640, 3555, 27884, 16490, 2304, 3794, 3660, 366, 7226, 5835, 7251, 3555, 4587, 7578, 29538, 307, 32702, 299, 32767, 9957], "avg_logprob": -0.31035539566301834, "compression_ratio": 1.2661870503597121, "no_speech_prob": 0.0, "words": [{"start": 191.92, "end": 193.0, "word": "U20", "probability": 0.3555908203125}, {"start": 193.0, "end": 193.58, "word": " هذه", "probability": 0.38525390625}, {"start": 193.58, "end": 193.9, "word": " اللي", "probability": 0.648193359375}, {"start": 193.9, "end": 194.5, "word": " بقدر", "probability": 0.9513346354166666}, {"start": 194.5, "end": 195.54, "word": " اكتبها", "probability": 0.9265625}, {"start": 195.54, "end": 196.24, "word": " اللي", "probability": 0.5787353515625}, {"start": 196.24, "end": 196.48, "word": " هي", "probability": 0.379638671875}, {"start": 196.48, "end": 197.24, "word": " تساوي", "probability": 0.9356689453125}, {"start": 197.24, "end": 197.8, "word": " U", "probability": 0.83837890625}, {"start": 197.8, "end": 198.84, "word": " أربعة", "probability": 0.6131591796875}, {"start": 198.84, "end": 199.12, "word": " في", "probability": 0.85595703125}, {"start": 199.12, "end": 199.94, "word": " خمسة", "probability": 0.973388671875}, {"start": 199.94, "end": 201.22, "word": " والاربعة", "probability": 0.779541015625}, {"start": 201.22, "end": 201.9, "word": " خمسة", "probability": 0.941162109375}, {"start": 201.9, "end": 202.22, "word": " are", "probability": 0.5498046875}, {"start": 202.22, "end": 203.12, "word": " relatively", "probability": 0.78466796875}, {"start": 203.12, "end": 203.86, "word": " prime", "probability": 0.9033203125}, {"start": 203.86, "end": 205.0, "word": " يبقى", "probability": 0.9716796875}, {"start": 205.0, "end": 205.44, "word": " هذه", "probability": 0.828125}, {"start": 205.44, "end": 207.02, "word": " isomorphic", "probability": 0.6394856770833334}, {"start": 207.02, "end": 207.62, "word": " لمين", "probability": 0.4718017578125}], "temperature": 1.0}, {"id": 10, "seek": 23051, "start": 207.93, "end": 230.51, "text": "لأ اللي هو isomorphic او هدى تساوي او isomorphic دُغري لمهم ل U أربعة external product مع U خمسة مرة تانية ل U أربعة هدى U تنين تربيع", "tokens": [1211, 10721, 13672, 1829, 31439, 307, 32702, 299, 1975, 2407, 8032, 3215, 7578, 6055, 3794, 995, 45865, 1975, 2407, 307, 32702, 299, 11778, 10859, 17082, 16572, 32767, 16095, 5296, 624, 5551, 25513, 27884, 8320, 1674, 20449, 624, 16490, 2304, 3794, 3660, 3714, 25720, 6055, 7649, 10632, 5296, 624, 5551, 25513, 27884, 8032, 3215, 7578, 624, 6055, 1863, 9957, 6055, 25513, 40228], "avg_logprob": -0.32560484640059933, "compression_ratio": 1.36986301369863, "no_speech_prob": 0.0, "words": [{"start": 207.93, "end": 208.63, "word": "لأ", "probability": 0.592529296875}, {"start": 208.63, "end": 209.07, "word": " اللي", "probability": 0.45916748046875}, {"start": 209.07, "end": 209.51, "word": " هو", "probability": 0.9423828125}, {"start": 209.51, "end": 211.67, "word": " isomorphic", "probability": 0.7633463541666666}, {"start": 211.67, "end": 212.89, "word": " او", "probability": 0.705078125}, {"start": 212.89, "end": 213.27, "word": " هدى", 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{"start": 1747.3, "end": 1747.8, "word": " X", "probability": 0.28662109375}, {"start": 1747.8, "end": 1748.34, "word": " H", "probability": 0.673828125}, {"start": 1748.34, "end": 1748.92, "word": " X", "probability": 0.7021484375}, {"start": 1748.92, "end": 1749.62, "word": " inverse", "probability": 0.63330078125}, {"start": 1749.62, "end": 1750.64, "word": " يبقى", "probability": 0.954833984375}, {"start": 1750.64, "end": 1750.98, "word": " بناء", "probability": 0.91650390625}, {"start": 1750.98, "end": 1751.36, "word": " عليه", "probability": 0.4853515625}, {"start": 1751.36, "end": 1751.72, "word": " لو", "probability": 0.9248046875}, {"start": 1751.72, "end": 1752.68, "word": " ضربت", "probability": 0.9383138020833334}, {"start": 1752.68, "end": 1753.36, "word": " الطرفين", "probability": 0.9518229166666666}, {"start": 1753.36, "end": 1753.64, "word": " من", "probability": 0.97998046875}, {"start": 1753.64, "end": 1754.2, "word": " جهتي", "probability": 0.9524739583333334}, {"start": 1754.2, "end": 1754.84, "word": " اليمين", "probability": 0.8497721354166666}, {"start": 1754.84, "end": 1755.1, "word": " في", "probability": 0.93603515625}, {"start": 1755.1, "end": 1755.44, "word": " X", "probability": 0.9560546875}, {"start": 1755.44, "end": 1756.04, "word": " inverse", "probability": 0.85986328125}, {"start": 1756.04, "end": 1756.84, "word": " ايش", "probability": 0.739501953125}, {"start": 1756.84, "end": 1756.98, "word": " اللي", "probability": 0.968017578125}, {"start": 1756.98, "end": 1757.3, "word": " بدي", "probability": 0.723388671875}, {"start": 1757.3, "end": 1758.14, "word": " يصير؟", "probability": 0.76275634765625}, {"start": 1758.14, "end": 1758.52, "word": " بدي", "probability": 0.884521484375}, {"start": 1758.52, "end": 1758.94, "word": " يصير", "probability": 0.9147135416666666}, {"start": 1758.94, "end": 1759.58, "word": " عندي", "probability": 0.6707763671875}, {"start": 1759.58, "end": 1760.04, "word": " ال", "probability": 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{"start": 1777.65, "end": 1778.41, "word": " ما", "probability": 0.884765625}, {"start": 1778.41, "end": 1779.11, "word": " علينا", "probability": 0.896240234375}, {"start": 1779.11, "end": 1779.79, "word": " يبقى", "probability": 0.972900390625}, {"start": 1779.79, "end": 1779.99, "word": " هاي", "probability": 0.51171875}, {"start": 1779.99, "end": 1780.39, "word": " جيبتله", "probability": 0.74853515625}, {"start": 1780.39, "end": 1780.73, "word": " مين", "probability": 0.822265625}, {"start": 1780.73, "end": 1781.71, "word": " الشرط", "probability": 0.9402669270833334}, {"start": 1781.71, "end": 1782.25, "word": " الأول", "probability": 0.890380859375}, {"start": 1782.25, "end": 1782.91, "word": " بدي", "probability": 0.580322265625}, {"start": 1782.91, "end": 1783.27, "word": " أجيبله", "probability": 0.8021484375}, {"start": 1783.27, "end": 1783.77, "word": " الشرط", "probability": 0.9773763020833334}, {"start": 1783.77, "end": 1784.37, "word": " الثاني", "probability": 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"probability": 0.402587890625}, {"start": 1827.88, "end": 1828.08, "word": " G", "probability": 0.806640625}, {"start": 1828.08, "end": 1828.68, "word": " جروبه", "probability": 0.64813232421875}, {"start": 1828.68, "end": 1829.2, "word": " المعكس", "probability": 0.977294921875}, {"start": 1829.2, "end": 1829.78, "word": " موجود", "probability": 0.9866536458333334}, {"start": 1829.78, "end": 1830.72, "word": " يبقى", "probability": 0.947265625}, {"start": 1830.72, "end": 1831.12, "word": " بجي", "probability": 0.7743326822916666}, {"start": 1831.12, "end": 1831.72, "word": " بقوله", "probability": 0.9384765625}, {"start": 1831.72, "end": 1832.16, "word": " then", "probability": 0.88525390625}], "temperature": 1.0}, {"id": 75, "seek": 185285, "start": 1833.59, "end": 1852.85, "text": "الـ X inverse موجودة في G implies بدي اطبق عليها الشرط هذا يبقى لو جيت طبقت عليها الشرط هذا بصير X inverse H X inverse inverse اللي هو subset من من؟ subset من H", "tokens": [6027, 39184, 1783, 17340, 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"probability": 0.82275390625}, {"start": 1838.15, "end": 1838.93, "word": " بدي", "probability": 0.378662109375}, {"start": 1838.93, "end": 1839.39, "word": " اطبق", "probability": 0.85546875}, {"start": 1839.39, "end": 1839.75, "word": " عليها", "probability": 0.986083984375}, {"start": 1839.75, "end": 1840.29, "word": " الشرط", "probability": 0.9606119791666666}, {"start": 1840.29, "end": 1840.69, "word": " هذا", "probability": 0.86328125}, {"start": 1840.69, "end": 1841.39, "word": " يبقى", "probability": 0.8272705078125}, {"start": 1841.39, "end": 1841.57, "word": " لو", "probability": 0.81298828125}, {"start": 1841.57, "end": 1841.85, "word": " جيت", "probability": 0.68115234375}, {"start": 1841.85, "end": 1842.33, "word": " طبقت", "probability": 0.9285481770833334}, {"start": 1842.33, "end": 1842.79, "word": " عليها", "probability": 0.986328125}, {"start": 1842.79, "end": 1843.35, "word": " الشرط", "probability": 0.9755859375}, {"start": 1843.35, "end": 1843.79, "word": " هذا", "probability": 0.9287109375}, {"start": 1843.79, "end": 1844.95, "word": " بصير", "probability": 0.9324544270833334}, {"start": 1844.95, "end": 1845.45, "word": " X", "probability": 0.92578125}, {"start": 1845.45, "end": 1846.23, "word": " inverse", "probability": 0.904296875}, {"start": 1846.23, "end": 1846.75, "word": " H", "probability": 0.79296875}, {"start": 1846.75, "end": 1847.37, "word": " X", "probability": 0.55224609375}, {"start": 1847.37, "end": 1848.31, "word": " inverse", "probability": 0.91064453125}, {"start": 1848.31, "end": 1849.33, "word": " inverse", "probability": 0.2509765625}, {"start": 1849.33, "end": 1849.95, "word": " اللي", "probability": 0.892822265625}, {"start": 1849.95, "end": 1850.13, "word": " هو", "probability": 0.9794921875}, {"start": 1850.13, "end": 1850.57, "word": " subset", "probability": 0.822265625}, {"start": 1850.57, "end": 1850.95, "word": " من", "probability": 0.99658203125}, {"start": 1850.95, "end": 1851.47, "word": " من؟", "probability": 0.41864013671875}, {"start": 1851.47, "end": 1852.13, "word": " subset", "probability": 0.84033203125}, {"start": 1852.13, "end": 1852.53, "word": " من", "probability": 0.98876953125}, {"start": 1852.53, "end": 1852.85, "word": " H", "probability": 0.9580078125}], "temperature": 1.0}, {"id": 76, "seek": 187239, "start": 1855.03, "end": 1872.39, "text": "او بمعنى اخر بقدر اقول هنا main ان ال X inverse H X subset من main subset من main من H طيب كويس", "tokens": [995, 2407, 4724, 2304, 3615, 1863, 7578, 1975, 34740, 4724, 28543, 2288, 1975, 39648, 34105, 2135, 16472, 2423, 1783, 17340, 389, 1783, 25993, 9154, 2135, 25993, 9154, 2135, 9154, 389, 23032, 1829, 3555, 9122, 45865, 3794], "avg_logprob": -0.24429898970835917, "compression_ratio": 1.2201834862385321, "no_speech_prob": 0.0, "words": [{"start": 1855.03, "end": 1855.37, "word": "او", "probability": 0.60546875}, {"start": 1855.37, "end": 1855.95, "word": " بمعنى", "probability": 0.98125}, {"start": 1855.95, "end": 1856.59, "word": " اخر", "probability": 0.859619140625}, {"start": 1856.59, "end": 1857.69, "word": " بقدر", "probability": 0.9269205729166666}, {"start": 1857.69, "end": 1858.11, "word": " اقول", "probability": 0.965576171875}, {"start": 1858.11, "end": 1858.53, "word": " هنا", "probability": 0.9404296875}, {"start": 1858.53, "end": 1858.87, "word": " main", "probability": 0.294189453125}, {"start": 1858.87, "end": 1859.57, "word": " ان", "probability": 0.8564453125}, {"start": 1859.57, "end": 1859.85, "word": " ال", "probability": 0.85693359375}, {"start": 1859.85, "end": 1860.35, "word": " X", "probability": 0.6767578125}, {"start": 1860.35, "end": 1861.43, "word": " inverse", "probability": 0.732421875}, {"start": 1861.43, "end": 1862.15, "word": " H", "probability": 0.81298828125}, {"start": 1862.15, "end": 1863.21, "word": " X", "probability": 0.71044921875}, {"start": 1863.21, "end": 1864.19, "word": " subset", "probability": 0.73583984375}, {"start": 1864.19, "end": 1864.55, "word": " من", "probability": 0.99072265625}, {"start": 1864.55, "end": 1864.89, "word": " main", "probability": 0.280029296875}, {"start": 1864.89, "end": 1865.73, "word": " subset", "probability": 0.63232421875}, {"start": 1865.73, "end": 1866.21, "word": " من", "probability": 0.98974609375}, {"start": 1866.21, "end": 1866.57, "word": " main", "probability": 0.6162109375}, {"start": 1866.57, "end": 1867.25, "word": " من", "probability": 0.984375}, {"start": 1867.25, "end": 1867.73, "word": " H", "probability": 0.853515625}, {"start": 1867.73, "end": 1871.83, "word": " طيب", "probability": 0.8269856770833334}, {"start": 1871.83, "end": 1872.39, "word": " كويس", "probability": 0.9754231770833334}], "temperature": 1.0}, {"id": 77, "seek": 189507, "start": 1873.33, "end": 1895.07, "text": "يبقى هذه الخطوة الأولى لو جبت او قدرت اثبت ان ال H هي ال subset من من ال X inverse HX بتم المطلوب يبقى بدي اعتبر هذه الخطوة رقم واحد بدي اجي للخطوة رقم اتنين الخطوة رقم واحد", "tokens": [1829, 3555, 4587, 7578, 29538, 33962, 9566, 2407, 3660, 16247, 12610, 7578, 45164, 10874, 3555, 2655, 1975, 2407, 12174, 3215, 43500, 1975, 12984, 3555, 2655, 16472, 2423, 389, 39896, 2423, 25993, 9154, 9154, 2423, 1783, 17340, 389, 55, 4724, 39237, 9673, 9566, 1211, 37746, 7251, 3555, 4587, 7578, 4724, 16254, 1975, 34268, 26890, 29538, 33962, 9566, 2407, 3660, 12602, 4587, 2304, 36764, 24401, 4724, 16254, 1975, 7435, 1829, 24976, 9778, 9566, 2407, 3660, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 33962, 9566, 2407, 3660, 12602, 4587, 2304, 36764, 24401], "avg_logprob": -0.1789930534031656, "compression_ratio": 1.813664596273292, "no_speech_prob": 0.0, "words": [{"start": 1873.33, "end": 1873.81, "word": "يبقى", "probability": 0.8365478515625}, {"start": 1873.81, "end": 1874.25, "word": " هذه", "probability": 0.8193359375}, {"start": 1874.25, "end": 1875.15, "word": " الخطوة", "probability": 0.938720703125}, {"start": 1875.15, "end": 1875.65, "word": " الأولى", "probability": 0.97607421875}, {"start": 1875.65, "end": 1876.49, "word": " لو", "probability": 0.5537109375}, {"start": 1876.49, "end": 1877.25, "word": " جبت", "probability": 0.9410807291666666}, {"start": 1877.25, "end": 1877.97, "word": " او", "probability": 0.6396484375}, {"start": 1877.97, "end": 1878.41, "word": " قدرت", "probability": 0.94189453125}, {"start": 1878.41, "end": 1878.91, "word": " اثبت", "probability": 0.927978515625}, {"start": 1878.91, "end": 1879.13, "word": " ان", "probability": 0.9208984375}, {"start": 1879.13, "end": 1879.33, "word": " ال", "probability": 0.92919921875}, {"start": 1879.33, "end": 1879.63, "word": " H", "probability": 0.492431640625}, {"start": 1879.63, "end": 1880.11, "word": " هي", "probability": 0.8837890625}, {"start": 1880.11, "end": 1880.45, "word": " ال", "probability": 0.415771484375}, {"start": 1880.45, "end": 1881.05, "word": " subset", "probability": 0.88916015625}, {"start": 1881.05, "end": 1881.93, "word": " من", "probability": 0.98046875}, {"start": 1881.93, "end": 1882.17, "word": " من", "probability": 0.30712890625}, {"start": 1882.17, "end": 1882.65, "word": " ال", "probability": 0.4482421875}, {"start": 1882.65, "end": 1883.01, "word": " X", "probability": 0.84912109375}, {"start": 1883.01, "end": 1883.85, "word": " inverse", "probability": 0.78515625}, {"start": 1883.85, "end": 1885.57, "word": " HX", "probability": 0.618896484375}, {"start": 1885.57, "end": 1886.43, "word": " بتم", "probability": 0.5469970703125}, {"start": 1886.43, "end": 1887.11, "word": " المطلوب", "probability": 0.97314453125}, {"start": 1887.11, "end": 1887.83, "word": " يبقى", "probability": 0.9317626953125}, {"start": 1887.83, "end": 1888.09, "word": " بدي", "probability": 0.69140625}, {"start": 1888.09, "end": 1888.57, "word": " اعتبر", "probability": 0.9539388020833334}, {"start": 1888.57, "end": 1888.91, "word": " هذه", "probability": 0.83447265625}, {"start": 1888.91, "end": 1889.55, "word": " الخطوة", "probability": 0.9639892578125}, {"start": 1889.55, "end": 1890.09, "word": " رقم", "probability": 0.9894205729166666}, {"start": 1890.09, "end": 1890.63, "word": " واحد", "probability": 0.926513671875}, {"start": 1890.63, "end": 1891.39, "word": " بدي", "probability": 0.74267578125}, {"start": 1891.39, "end": 1891.55, "word": " اجي", "probability": 0.81787109375}, {"start": 1891.55, "end": 1892.21, "word": " للخطوة", "probability": 0.81513671875}, {"start": 1892.21, "end": 1892.75, "word": " رقم", "probability": 0.9807942708333334}, {"start": 1892.75, "end": 1893.29, "word": " اتنين", "probability": 0.9615478515625}, {"start": 1893.29, "end": 1894.31, "word": " الخطوة", "probability": 0.973876953125}, {"start": 1894.31, "end": 1894.73, "word": " رقم", "probability": 0.9947916666666666}, {"start": 1894.73, "end": 1895.07, "word": " واحد", "probability": 0.984375}], "temperature": 1.0}, {"id": 78, "seek": 192387, "start": 1895.73, "end": 1923.87, "text": "لو ضربتها في X من جهة الشمال يبقى ايش بيصير ال X X inverse في من؟ في ال H وهنا X بدي تبقى subset من ال X H ضربت من جهة الشمال في X يبقى هذا ايش بدي يعطيلك؟ هذا بدي يعطيلك ان ال H X subset من ال X H", "tokens": [1211, 2407, 48812, 25513, 2655, 11296, 8978, 1783, 9154, 10874, 3224, 3660, 25124, 2304, 6027, 7251, 3555, 4587, 7578, 1975, 1829, 8592, 4724, 1829, 9381, 13546, 2423, 1783, 1783, 17340, 8978, 9154, 22807, 8978, 2423, 389, 37037, 8315, 1783, 4724, 16254, 6055, 3555, 4587, 7578, 25993, 9154, 2423, 1783, 389, 48812, 25513, 2655, 9154, 10874, 3224, 3660, 25124, 2304, 6027, 8978, 1783, 7251, 3555, 4587, 7578, 23758, 1975, 1829, 8592, 4724, 16254, 37495, 9566, 1829, 23275, 22807, 23758, 4724, 16254, 37495, 9566, 1829, 23275, 16472, 2423, 389, 1783, 25993, 9154, 2423, 1783, 389], "avg_logprob": -0.17470079343369666, "compression_ratio": 1.8855421686746987, "no_speech_prob": 0.0, "words": [{"start": 1895.73, "end": 1896.23, "word": "لو", "probability": 0.732666015625}, {"start": 1896.23, "end": 1896.95, "word": " ضربتها", "probability": 0.916748046875}, {"start": 1896.95, "end": 1897.27, "word": " في", "probability": 0.90576171875}, {"start": 1897.27, "end": 1897.69, "word": " X", "probability": 0.482666015625}, {"start": 1897.69, "end": 1898.03, "word": " من", "probability": 0.94580078125}, {"start": 1898.03, "end": 1898.77, "word": " جهة", "probability": 0.96337890625}, {"start": 1898.77, "end": 1899.81, "word": " الشمال", "probability": 0.9803059895833334}, {"start": 1899.81, "end": 1900.71, "word": " يبقى", "probability": 0.87451171875}, {"start": 1900.71, "end": 1900.85, "word": " ايش", "probability": 0.7056477864583334}, {"start": 1900.85, "end": 1901.45, "word": " بيصير", "probability": 0.8992919921875}, {"start": 1901.45, "end": 1902.23, "word": " ال", "probability": 0.744140625}, {"start": 1902.23, "end": 1902.71, "word": " X", "probability": 0.806640625}, {"start": 1902.71, "end": 1903.33, "word": " X", "probability": 0.6513671875}, {"start": 1903.33, "end": 1904.23, "word": " inverse", "probability": 0.79052734375}, {"start": 1904.23, "end": 1904.89, "word": " في", "probability": 0.80712890625}, {"start": 1904.89, "end": 1905.37, "word": " من؟", "probability": 0.4462890625}, {"start": 1905.37, "end": 1905.83, "word": " في", "probability": 0.9140625}, {"start": 1905.83, "end": 1906.13, "word": " ال", "probability": 0.66796875}, {"start": 1906.13, "end": 1906.55, "word": " H", "probability": 0.70849609375}, {"start": 1906.55, "end": 1907.73, "word": " وهنا", "probability": 0.7357177734375}, {"start": 1907.73, "end": 1908.21, "word": " X", "probability": 0.89306640625}, {"start": 1908.21, "end": 1909.11, "word": " بدي", "probability": 0.5098876953125}, {"start": 1909.11, "end": 1909.87, "word": " تبقى", "probability": 0.97265625}, {"start": 1909.87, "end": 1910.41, "word": " subset", "probability": 0.96630859375}, {"start": 1910.41, "end": 1911.21, "word": " من", "probability": 0.99462890625}, {"start": 1911.21, "end": 1911.55, "word": " ال", "probability": 0.89111328125}, {"start": 1911.55, "end": 1911.91, "word": " X", "probability": 0.93994140625}, {"start": 1911.91, "end": 1912.47, "word": " H", "probability": 0.6484375}, {"start": 1912.47, "end": 1913.53, "word": " ضربت", "probability": 0.9864908854166666}, {"start": 1913.53, "end": 1913.67, "word": " من", "probability": 0.9501953125}, {"start": 1913.67, "end": 1914.05, "word": " جهة", "probability": 0.982421875}, {"start": 1914.05, "end": 1914.67, "word": " الشمال", "probability": 0.9918619791666666}, {"start": 1914.67, "end": 1915.13, "word": " في", "probability": 0.9638671875}, {"start": 1915.13, "end": 1915.53, "word": " X", "probability": 0.958984375}, {"start": 1915.53, "end": 1916.35, "word": " يبقى", "probability": 0.96630859375}, {"start": 1916.35, "end": 1916.61, "word": " هذا", "probability": 0.7724609375}, {"start": 1916.61, "end": 1916.77, "word": " ايش", "probability": 0.8772786458333334}, {"start": 1916.77, "end": 1917.05, "word": " بدي", "probability": 0.774658203125}, {"start": 1917.05, "end": 1918.05, "word": " يعطيلك؟", "probability": 0.76142578125}, {"start": 1918.05, "end": 1918.29, "word": " هذا", "probability": 0.875}, {"start": 1918.29, "end": 1918.61, "word": " بدي", "probability": 0.947509765625}, {"start": 1918.61, "end": 1919.27, "word": " يعطيلك", "probability": 0.9580078125}, {"start": 1919.27, "end": 1919.67, "word": " ان", "probability": 0.91259765625}, {"start": 1919.67, "end": 1919.97, "word": " ال", "probability": 0.89697265625}, {"start": 1919.97, "end": 1920.43, "word": " H", "probability": 0.67724609375}, {"start": 1920.43, "end": 1921.05, "word": " X", "probability": 0.8427734375}, {"start": 1921.05, "end": 1922.07, "word": " subset", "probability": 0.9287109375}, {"start": 1922.07, "end": 1922.71, "word": " من", "probability": 0.9970703125}, {"start": 1922.71, "end": 1922.93, "word": " ال", "probability": 0.85498046875}, {"start": 1922.93, "end": 1923.39, "word": " X", "probability": 0.97900390625}, {"start": 1923.39, "end": 1923.87, "word": " H", "probability": 0.96044921875}], "temperature": 1.0}, {"id": 79, "seek": 195117, "start": 1924.59, "end": 1951.17, "text": "بنفس الطريقة اضرب من جهة اليمين في الـ X inverse يبقى لو ضربنا في ال X inverse بصير ال H هي subset من X H X inverse و هذه العلاقة رقم اتنين اتطلع ليه في الواحد و اتنين يبقى باجي بقوله هنا from واحد and اتنين we have", "tokens": [3555, 1863, 36178, 41950, 16572, 28671, 1975, 11242, 25513, 9154, 10874, 3224, 3660, 2423, 32640, 9957, 8978, 2423, 39184, 1783, 17340, 7251, 3555, 4587, 7578, 45164, 48812, 25513, 8315, 8978, 2423, 1783, 17340, 4724, 9381, 13546, 2423, 389, 39896, 25993, 9154, 1783, 389, 1783, 17340, 4032, 29538, 18863, 15040, 28671, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 1975, 2655, 9566, 1211, 3615, 32239, 3224, 8978, 2423, 14407, 24401, 4032, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 490, 36764, 24401, 293, 1975, 2655, 1863, 9957, 321, 362], "avg_logprob": -0.22499999529437015, "compression_ratio": 1.7106598984771573, 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Center تبع بجروب الـ Z of G أنا أدعي أن الـ A normal sub group منين؟ من G", "tokens": [6027, 39184, 5169, 6055, 3555, 3615, 4724, 7435, 32887, 3555, 2423, 39184, 1176, 295, 460, 41850, 5551, 3215, 3615, 1829, 14739, 2423, 39184, 316, 2710, 1422, 1594, 9154, 9957, 22807, 9154, 460], "avg_logprob": -0.46898674242424243, "compression_ratio": 1.0891089108910892, "no_speech_prob": 0.0, "words": [{"start": 2226.55, "end": 2227.05, "word": "الـ", "probability": 0.5947265625}, {"start": 2227.05, "end": 2227.55, "word": " Center", "probability": 0.52001953125}, {"start": 2227.55, "end": 2228.53, "word": " تبع", "probability": 0.88916015625}, {"start": 2228.53, "end": 2229.53, "word": " بجروب", "probability": 0.691162109375}, {"start": 2229.53, "end": 2230.19, "word": " الـ", "probability": 0.4754638671875}, {"start": 2230.19, "end": 2230.57, "word": " Z", "probability": 0.662109375}, {"start": 2230.57, "end": 2231.25, "word": " of", "probability": 0.8837890625}, {"start": 2231.25, "end": 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2578.95, "word": " انطلع", "probability": 0.6964111328125}, {"start": 2578.95, "end": 2579.57, "word": " والله", "probability": 0.868896484375}, {"start": 2579.57, "end": 2580.39, "word": " ال", "probability": 0.9599609375}, {"start": 2580.39, "end": 2581.25, "word": " determinant", "probability": 0.96533203125}, {"start": 2581.25, "end": 2581.61, "word": " ايه", "probability": 0.773681640625}, {"start": 2581.61, "end": 2581.67, "word": " اللي", "probability": 0.763427734375}, {"start": 2581.67, "end": 2581.91, "word": " بدي", "probability": 0.5682373046875}, {"start": 2581.91, "end": 2582.31, "word": " يساوي", "probability": 0.7830810546875}, {"start": 2582.31, "end": 2582.61, "word": " واحد", "probability": 0.721923828125}, {"start": 2582.61, "end": 2582.95, "word": " بيكون", "probability": 0.90625}, {"start": 2582.95, "end": 2583.33, "word": " حصل", "probability": 0.98828125}, {"start": 2583.33, "end": 2583.67, "word": " الضرب", "probability": 0.8610026041666666}, {"start": 2583.67, "end": 2583.89, "word": " هذا", "probability": 0.69921875}, {"start": 2583.89, "end": 2584.27, "word": " موجود", "probability": 0.98681640625}, {"start": 2584.27, "end": 2584.61, "word": " وان", "probability": 0.63720703125}], "temperature": 1.0}, {"id": 107, "seek": 259448, "start": 2584.86, "end": 2594.48, "text": "في ال special وبالتالي ال special هه normal subgroup من main من G يبقى بالداخل اكتب لك الحل على الشجرة التانية", "tokens": [41185, 2423, 2121, 46599, 6027, 2655, 6027, 1829, 2423, 2121, 8032, 3224, 2710, 1422, 17377, 9154, 2135, 9154, 460, 7251, 3555, 4587, 7578, 20666, 3215, 47283, 1211, 1975, 4117, 2655, 3555, 5296, 4117, 21542, 1211, 15844, 25124, 7435, 25720, 16712, 7649, 10632], "avg_logprob": -0.37536336654840513, "compression_ratio": 1.3253968253968254, "no_speech_prob": 0.0, "words": [{"start": 2584.86, "end": 2585.02, "word": "في", "probability": 0.12200927734375}, {"start": 2585.02, "end": 2585.16, "word": " ال", "probability": 0.94482421875}, {"start": 2585.16, "end": 2585.52, "word": " special", "probability": 0.73193359375}, {"start": 2585.52, "end": 2586.12, "word": " وبالتالي", "probability": 0.90205078125}, {"start": 2586.12, "end": 2586.26, "word": " ال", "probability": 0.9697265625}, {"start": 2586.26, "end": 2587.02, "word": " special", "probability": 0.974609375}, {"start": 2587.02, "end": 2587.72, "word": " هه", "probability": 0.33648681640625}, {"start": 2587.72, "end": 2588.2, "word": " normal", "probability": 0.69384765625}, {"start": 2588.2, "end": 2588.82, "word": " subgroup", "probability": 0.69287109375}, {"start": 2588.82, "end": 2589.0, "word": " من", "probability": 0.9931640625}, {"start": 2589.0, "end": 2589.32, "word": " main", "probability": 0.572265625}, {"start": 2589.32, "end": 2589.94, "word": " من", "probability": 0.330322265625}, {"start": 2589.94, "end": 2590.76, "word": " G", "probability": 0.5029296875}, {"start": 2590.76, "end": 2591.84, "word": " يبقى", "probability": 0.8563232421875}, {"start": 2591.84, "end": 2592.3, "word": " بالداخل", "probability": 0.54779052734375}, {"start": 2592.3, "end": 2592.7, "word": " اكتب", "probability": 0.915771484375}, {"start": 2592.7, "end": 2592.88, "word": " لك", "probability": 0.768798828125}, {"start": 2592.88, "end": 2593.24, "word": " الحل", "probability": 0.959716796875}, {"start": 2593.24, "end": 2593.44, "word": " على", "probability": 0.79931640625}, {"start": 2593.44, "end": 2593.96, "word": " الشجرة", "probability": 0.7171223958333334}, {"start": 2593.96, "end": 2594.48, "word": " التانية", "probability": 0.9090169270833334}], "temperature": 1.0}, {"id": 108, "seek": 262466, "start": 2608.72, "end": 2624.66, "text": "أفترض أن ال A موجودة في ال general linear group of 2 by 2 matrices over R ويكون موجودة في ال special linear group of 2 by 2 matrices over R", "tokens": [10721, 5172, 2655, 43042, 14739, 2423, 316, 3714, 29245, 23328, 3660, 8978, 2423, 2674, 8213, 1594, 295, 568, 538, 568, 32284, 670, 497, 4032, 1829, 30544, 3714, 29245, 23328, 3660, 8978, 2423, 2121, 8213, 1594, 295, 568, 538, 568, 32284, 670, 497], "avg_logprob": -0.337572667487832, "compression_ratio": 1.4913793103448276, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2608.72, "end": 2609.6, "word": "أفترض", "probability": 0.71832275390625}, {"start": 2609.6, "end": 2610.48, "word": " أن", "probability": 0.533203125}, {"start": 2610.48, "end": 2610.72, "word": " ال", "probability": 0.54931640625}, {"start": 2610.72, "end": 2611.1, "word": " A", "probability": 0.1572265625}, {"start": 2611.1, "end": 2612.28, "word": " موجودة", "probability": 0.954345703125}, {"start": 2612.28, "end": 2612.42, "word": " في", "probability": 0.91845703125}, {"start": 2612.42, "end": 2612.6, "word": " ال", "probability": 0.84619140625}, {"start": 2612.6, "end": 2613.04, "word": " general", "probability": 0.345458984375}, {"start": 2613.04, "end": 2613.44, "word": " linear", "probability": 0.52490234375}, {"start": 2613.44, "end": 2614.1, "word": " group", "probability": 0.97802734375}, {"start": 2614.1, "end": 2614.74, "word": " of", "probability": 0.72900390625}, {"start": 2614.74, "end": 2615.02, "word": " 2", "probability": 0.63818359375}, {"start": 2615.02, "end": 2615.3, "word": " by", "probability": 0.41552734375}, {"start": 2615.3, "end": 2615.54, "word": " 2", "probability": 0.9638671875}, {"start": 2615.54, "end": 2616.3, "word": " matrices", "probability": 0.96142578125}, {"start": 2616.3, "end": 2616.92, "word": " over", "probability": 0.7314453125}, {"start": 2616.92, "end": 2617.44, "word": " R", "probability": 0.9833984375}, {"start": 2617.44, "end": 2618.72, "word": " ويكون", "probability": 0.4910074869791667}, {"start": 2618.72, "end": 2620.16, "word": " موجودة", "probability": 0.82415771484375}, {"start": 2620.16, "end": 2620.34, "word": " في", "probability": 0.9482421875}, {"start": 2620.34, "end": 2620.48, "word": " ال", "probability": 0.95751953125}, {"start": 2620.48, "end": 2621.0, "word": " special", "probability": 0.9189453125}, {"start": 2621.0, "end": 2621.44, "word": " linear", "probability": 0.86376953125}, {"start": 2621.44, "end": 2622.02, "word": " group", "probability": 0.9697265625}, {"start": 2622.02, "end": 2622.3, "word": " of", "probability": 0.9287109375}, {"start": 2622.3, "end": 2622.52, "word": " 2", "probability": 0.96728515625}, {"start": 2622.52, "end": 2622.76, "word": " by", "probability": 0.97509765625}, {"start": 2622.76, "end": 2623.0, "word": " 2", "probability": 0.98193359375}, {"start": 2623.0, "end": 2623.62, "word": " matrices", "probability": 0.98486328125}, {"start": 2623.62, "end": 2624.18, "word": " over", "probability": 0.88330078125}, {"start": 2624.18, "end": 2624.66, "word": " R", "probability": 0.984375}], "temperature": 1.0}, {"id": 109, "seek": 265480, "start": 2627.08, "end": 2654.8, "text": "أريد أن أخذ الـ A بـ A إنفرس إذا كنت أثبت إن هذه موجودة في الـ Special يبقى هو الشرط اللي قلنا عليه الشرط التالت هو المساحنة أه هذه موجودة تمام يبقى بدي أحاول أثبتها فبدي أخدي determinant لمين لهذه المصوفة يبقى حسب الجبرة الخاطية هذه determinant للـ A", "tokens": [10721, 16572, 3215, 14739, 5551, 9778, 8848, 2423, 39184, 316, 4724, 39184, 316, 11933, 1863, 5172, 2288, 3794, 11933, 15730, 9122, 29399, 5551, 12984, 3555, 2655, 36145, 29538, 3714, 29245, 23328, 3660, 8978, 2423, 39184, 11863, 7251, 3555, 4587, 7578, 31439, 25124, 2288, 9566, 13672, 1829, 12174, 1211, 8315, 47356, 25124, 2288, 9566, 16712, 6027, 2655, 31439, 9673, 3794, 39319, 1863, 3660, 5551, 3224, 29538, 3714, 29245, 23328, 3660, 46811, 10943, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 5016, 995, 12610, 5551, 12984, 3555, 2655, 11296, 6156, 3555, 16254, 5551, 9778, 16254, 41296, 32767, 9957, 46740, 24192, 9673, 9381, 38688, 3660, 7251, 3555, 4587, 7578, 11331, 35457, 25724, 3555, 25720, 33962, 41193, 10632, 29538, 41296, 24976, 39184, 316], "avg_logprob": -0.3198529406755912, "compression_ratio": 1.8111587982832618, "no_speech_prob": 0.0, "words": [{"start": 2627.08, "end": 2627.48, "word": "أريد", "probability": 0.4032796223958333}, {"start": 2627.48, "end": 2627.74, "word": " أن", "probability": 0.67333984375}, {"start": 2627.74, "end": 2628.0, "word": " أخذ", "probability": 0.7112630208333334}, {"start": 2628.0, "end": 2628.54, "word": " الـ", "probability": 0.700439453125}, {"start": 2628.54, "end": 2628.92, "word": " A", "probability": 0.471435546875}, {"start": 2628.92, "end": 2630.36, "word": " بـ", "probability": 0.735107421875}, {"start": 2630.36, "end": 2630.66, "word": " A", "probability": 0.77978515625}, {"start": 2630.66, "end": 2631.42, "word": " إنفرس", "probability": 0.67362060546875}, {"start": 2631.42, "end": 2632.44, "word": " إذا", "probability": 0.797119140625}, {"start": 2632.44, "end": 2632.68, "word": " كنت", "probability": 0.77294921875}, {"start": 2632.68, "end": 2633.18, "word": " أثبت", "probability": 0.95654296875}, {"start": 2633.18, "end": 2633.34, "word": " إن", "probability": 0.421630859375}, {"start": 2633.34, "end": 2633.7, "word": " هذه", "probability": 0.537109375}, {"start": 2633.7, "end": 2634.34, "word": " موجودة", "probability": 0.9224853515625}, {"start": 2634.34, "end": 2634.5, "word": " في", "probability": 0.9189453125}, {"start": 2634.5, "end": 2634.64, "word": " الـ", "probability": 0.830078125}, {"start": 2634.64, "end": 2635.38, "word": " Special", "probability": 0.5185546875}, {"start": 2635.38, "end": 2636.26, "word": " يبقى", "probability": 0.87158203125}, {"start": 2636.26, "end": 2636.48, "word": " هو", "probability": 0.80029296875}, {"start": 2636.48, "end": 2636.96, "word": " الشرط", "probability": 0.97021484375}, {"start": 2636.96, "end": 2637.14, "word": " اللي", "probability": 0.849365234375}, {"start": 2637.14, "end": 2637.64, "word": " قلنا", "probability": 0.76171875}, {"start": 2637.64, "end": 2637.92, "word": " عليه", "probability": 0.947265625}, {"start": 2637.92, "end": 2638.38, "word": " الشرط", "probability": 0.95361328125}, {"start": 2638.38, "end": 2638.86, "word": " التالت", "probability": 0.8699544270833334}, {"start": 2638.86, "end": 2639.02, "word": " هو", "probability": 0.07208251953125}, {"start": 2639.02, "end": 2639.8, "word": " المساحنة", "probability": 0.669091796875}, {"start": 2639.8, "end": 2640.48, "word": " أه", "probability": 0.471832275390625}, {"start": 2640.48, "end": 2640.76, "word": " هذه", "probability": 0.295166015625}, {"start": 2640.76, "end": 2641.26, "word": " موجودة", "probability": 0.9332275390625}, {"start": 2641.26, "end": 2641.66, "word": " تمام", "probability": 0.853515625}, {"start": 2641.66, "end": 2642.44, "word": " يبقى", "probability": 0.85223388671875}, {"start": 2642.44, "end": 2642.68, "word": " بدي", "probability": 0.4813232421875}, {"start": 2642.68, "end": 2643.2, "word": " أحاول", "probability": 0.9788818359375}, {"start": 2643.2, "end": 2643.74, "word": " أثبتها", "probability": 0.95263671875}, {"start": 2643.74, "end": 2644.16, "word": " فبدي", "probability": 0.7180989583333334}, {"start": 2644.16, "end": 2644.7, "word": " أخدي", "probability": 0.7958984375}, {"start": 2644.7, "end": 2645.66, "word": " determinant", "probability": 0.58544921875}, {"start": 2645.66, "end": 2647.4, "word": " لمين", "probability": 0.658935546875}, {"start": 2647.4, "end": 2648.36, "word": " لهذه", "probability": 0.8935546875}, {"start": 2648.36, "end": 2649.3, "word": " المصوفة", "probability": 0.9090576171875}, {"start": 2649.3, "end": 2650.32, "word": " يبقى", "probability": 0.98095703125}, {"start": 2650.32, "end": 2650.84, "word": " حسب", "probability": 0.98828125}, {"start": 2650.84, "end": 2651.46, "word": " الجبرة", "probability": 0.6411946614583334}, {"start": 2651.46, "end": 2652.3, "word": " الخاطية", "probability": 0.706787109375}, {"start": 2652.3, "end": 2652.74, "word": " هذه", "probability": 0.7421875}, {"start": 2652.74, "end": 2653.46, "word": " determinant", "probability": 0.7998046875}, {"start": 2653.46, "end": 2654.54, "word": " للـ", "probability": 0.8486328125}, {"start": 2654.54, "end": 2654.8, "word": " A", "probability": 0.7392578125}], "temperature": 1.0}, {"id": 110, "seek": 268397, "start": 2655.25, "end": 2683.97, "text": "فى الـ determinant للـ B فى الـ determinant للـ A inverse صاروا هدور الـ real numbers الـ real numbers are commutes يبقى هذا الـ determinant للـ A فى الـ determinant للـ A inverse فى الـ determinant للـ B يبقى .. بدى أرجعه إلى أصله يبقى الـ determinant للـ A فى الـ A inverse فى الـ determinant للـ B", "tokens": [5172, 7578, 2423, 39184, 41296, 24976, 39184, 363, 6156, 7578, 2423, 39184, 41296, 24976, 39184, 316, 17340, 20328, 9640, 14407, 8032, 3215, 2407, 2288, 2423, 39184, 957, 3547, 2423, 39184, 957, 3547, 366, 800, 1819, 7251, 3555, 4587, 7578, 23758, 2423, 39184, 41296, 24976, 39184, 316, 6156, 7578, 2423, 39184, 41296, 24976, 39184, 316, 17340, 6156, 7578, 2423, 39184, 41296, 24976, 39184, 363, 7251, 3555, 4587, 7578, 4386, 47525, 7578, 5551, 47341, 3615, 3224, 30731, 5551, 36520, 3224, 7251, 3555, 4587, 7578, 2423, 39184, 41296, 24976, 39184, 316, 6156, 7578, 2423, 39184, 316, 17340, 6156, 7578, 2423, 39184, 41296, 24976, 39184, 363], "avg_logprob": -0.2135922350351093, "compression_ratio": 2.5935483870967744, "no_speech_prob": 0.0, "words": [{"start": 2655.25, "end": 2655.53, "word": "فى", "probability": 0.47589111328125}, {"start": 2655.53, "end": 2655.65, "word": " الـ", "probability": 0.625}, {"start": 2655.65, "end": 2656.33, "word": " determinant", "probability": 0.52294921875}, {"start": 2656.33, "end": 2657.09, "word": " للـ", "probability": 0.822998046875}, {"start": 2657.09, "end": 2657.33, "word": " B", "probability": 0.3740234375}, {"start": 2657.33, "end": 2657.99, "word": " فى", "probability": 0.946044921875}, {"start": 2657.99, "end": 2658.11, "word": " الـ", "probability": 0.770751953125}, {"start": 2658.11, "end": 2658.87, "word": " determinant", "probability": 0.92626953125}, {"start": 2658.87, "end": 2659.65, "word": " للـ", "probability": 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