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+{"segments": [{"id": 1, "seek": 3254, "start": 19.47, "end": 32.55, "text": "بسم الله الرحمن الرحيم المرة اللى فات انت يا انا من section تلاته اتنين اللى كان بتحدث عن ال subspaces الفضاءات الجزئية الاتجاهية والان بننتقل", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 25720, 13672, 7578, 6156, 9307, 16472, 2655, 35186, 1975, 8315, 9154, 3541, 6055, 1211, 9307, 3224, 1975, 2655, 1863, 9957, 13672, 7578, 25961, 39894, 24401, 12984, 18871, 2423, 2090, 79, 2116, 27188, 11242, 16606, 9307, 25724, 11622, 19986, 10632, 42963, 2655, 7435, 40294, 10632, 16070, 7649, 44945, 29399, 4587, 1211], "avg_logprob": -0.20197233215707247, "compression_ratio": 1.5844155844155845, "no_speech_prob": 1.5497207641601562e-06, "words": [{"start": 19.47, "end": 19.75, "word": "بسم", "probability": 0.766845703125}, {"start": 19.75, "end": 19.99, "word": " الله", "probability": 0.96923828125}, {"start": 19.99, "end": 20.43, "word": " الرحمن", "probability": 0.9353841145833334}, 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finite vectors، العدد المحدود من المتجهات V1 وV2 ولغاية VM الموجودة في VR6 بيكون linearly dependent، بيقول معتمدات على بعضهم اعتمدا قطيا", "tokens": [2278, 19362, 18875, 12399, 18863, 3215, 3215, 9673, 24401, 23328, 9154, 9673, 2655, 7435, 3224, 9307, 691, 16, 4032, 53, 17, 4032, 1211, 17082, 995, 10632, 18038, 9673, 29245, 23328, 3660, 8978, 13722, 21, 4724, 1829, 30544, 43586, 12334, 12399, 4724, 1829, 39648, 20449, 39237, 3215, 9307, 15844, 45030, 11242, 16095, 1975, 34268, 2304, 28259, 12174, 9566, 25528], "avg_logprob": -0.24377647900985458, "compression_ratio": 1.2857142857142858, "no_speech_prob": 0.0, "words": [{"start": 82.64, "end": 83.04, "word": "The", "probability": 0.425048828125}, {"start": 83.04, "end": 83.62, "word": " finite", "probability": 0.71875}, {"start": 83.62, "end": 84.64, "word": " vectors،", "probability": 0.5634765625}, {"start": 84.64, "end": 85.2, "word": " العدد", "probability": 0.9226888020833334}, {"start": 85.2, "end": 85.84, "word": " المحدود", 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"end": 120.49, "word": " على", "probability": 0.87890625}, {"start": 120.49, "end": 120.63, "word": " ال", "probability": 0.9697265625}, {"start": 120.63, "end": 120.89, "word": " vector", "probability": 0.78857421875}, {"start": 120.89, "end": 121.57, "word": " space", "probability": 0.93212890625}, {"start": 121.57, "end": 122.29, "word": " أخدت", "probability": 0.919921875}, {"start": 122.29, "end": 122.59, "word": " منه", "probability": 0.989013671875}, {"start": 122.59, "end": 123.27, "word": " مجموعة", "probability": 0.94658203125}, {"start": 123.27, "end": 123.51, "word": " من", "probability": 0.9892578125}, {"start": 123.51, "end": 123.73, "word": " ال", "probability": 0.9775390625}, {"start": 123.73, "end": 124.11, "word": " vectors", "probability": 0.86279296875}], "temperature": 1.0}, {"id": 6, "seek": 14865, "start": 124.91, "end": 148.65, "text": "هذه الـ vectors بقول عنها معتمدة على بعض اعتمادا قطية إذا جدرت ألاقي ثوابت مش كلها zero على الأقل بدي و لو مقدار ثابت واحد يكون لا يساوي zero بحيث C1V1 زي C2V2 زي CMVM كله بدي ساوي مين؟ بدي ساوي zero", "tokens": [3224, 24192, 2423, 39184, 18875, 4724, 39648, 18871, 11296, 3714, 34268, 2304, 41891, 15844, 45030, 11242, 1975, 34268, 15042, 3215, 995, 12174, 9566, 10632, 11933, 15730, 10874, 3215, 43500, 5551, 15040, 38436, 38637, 14407, 3555, 2655, 37893, 28242, 11296, 4018, 15844, 16247, 4587, 1211, 4724, 16254, 4032, 45164, 3714, 28543, 9640, 38637, 16758, 2655, 36764, 24401, 7251, 30544, 20193, 7251, 3794, 995, 45865, 4018, 4724, 5016, 1829, 12984, 383, 16, 53, 16, 30767, 1829, 383, 17, 53, 17, 30767, 1829, 20424, 53, 44, 28242, 3224, 4724, 16254, 8608, 995, 45865, 3714, 9957, 22807, 4724, 16254, 8608, 995, 45865, 4018], "avg_logprob": -0.20812499329447745, "compression_ratio": 1.5902439024390245, "no_speech_prob": 0.0, "words": [{"start": 124.91, "end": 125.55, "word": "هذه", "probability": 0.914306640625}, {"start": 125.55, "end": 125.79, "word": " الـ", "probability": 0.6033935546875}, {"start": 125.79, 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"probability": 0.5732421875}, {"start": 228.44, "end": 228.96, "word": " حدث", "probability": 0.98876953125}, {"start": 228.96, "end": 229.54, "word": " ذلك", "probability": 0.983154296875}, {"start": 229.54, "end": 230.0, "word": " بقول", "probability": 0.8779296875}, {"start": 230.0, "end": 230.36, "word": " هذه", "probability": 0.84130859375}, {"start": 230.36, "end": 230.54, "word": " ال", "probability": 0.97265625}, {"start": 230.54, "end": 230.88, "word": " vectors", "probability": 0.8896484375}, {"start": 230.88, "end": 231.16, "word": " من", "probability": 0.98388671875}, {"start": 231.16, "end": 231.6, "word": " v1", "probability": 0.630615234375}, {"start": 231.6, "end": 232.02, "word": " لغاية", "probability": 0.9591064453125}, {"start": 232.02, "end": 232.48, "word": " vm", "probability": 0.918212890625}, {"start": 232.48, "end": 233.06, "word": " are", "probability": 0.75634765625}, {"start": 233.06, "end": 233.62, "word": " linearly", "probability": 0.92919921875}, {"start": 233.62, "end": 234.8, "word": " dependent", "probability": 0.896484375}, {"start": 234.8, "end": 235.82, "word": " يعني", "probability": 0.92724609375}, {"start": 235.82, "end": 236.52, "word": " معتمدات", "probability": 0.82236328125}, {"start": 236.52, "end": 236.7, "word": " على", "probability": 0.90380859375}, {"start": 236.7, "end": 237.08, "word": " بعض", "probability": 0.994140625}, {"start": 237.08, "end": 237.8, "word": " خطيئة", "probability": 0.84697265625}], "temperature": 1.0}, {"id": 11, "seek": 26754, "start": 238.12, "end": 267.54, "text": "هذه تعريف الأول التعريف التاني لو جئت على ال vectors و جبت ثوابت و ضربتهم فيهم و جمعت لجيت النتج يساوي zero ان قدرت أثبت ان c1 يساوي c2 يساوي cm يساوي zero إذا بيكون هذول مستقلات عن بعض خطيئة linearly independent لكن إذا لجيت ولا واحد فيهم يساوي zero إذا هذول معتمدات و ليست مستقلات عن بعضهم", "tokens": [3224, 24192, 37279, 16572, 5172, 16247, 12610, 16712, 3615, 16572, 5172, 16712, 7649, 1829, 45164, 10874, 19986, 2655, 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{"start": 255.72, "end": 256.06, "word": " بعض", "probability": 0.998046875}, {"start": 256.06, "end": 256.62, "word": " خطيئة", "probability": 0.752587890625}, {"start": 256.62, "end": 257.22, "word": " linearly", "probability": 0.89501953125}, {"start": 257.22, "end": 258.48, "word": " independent", "probability": 0.94677734375}, {"start": 258.48, "end": 259.48, "word": " لكن", "probability": 0.88916015625}, {"start": 259.48, "end": 259.84, "word": " إذا", "probability": 0.970703125}, {"start": 259.84, "end": 260.28, "word": " لجيت", "probability": 0.9401041666666666}, {"start": 260.28, "end": 260.6, "word": " ولا", "probability": 0.71826171875}, {"start": 260.6, "end": 261.2, "word": " واحد", "probability": 0.98779296875}, {"start": 261.2, "end": 261.58, "word": " فيهم", "probability": 0.977294921875}, {"start": 261.58, "end": 262.2, "word": " يساوي", "probability": 0.98974609375}, {"start": 262.2, "end": 262.62, "word": " zero", "probability": 0.82666015625}, {"start": 262.62, "end": 263.42, "word": " إذا", "probability": 0.90966796875}, {"start": 263.42, "end": 263.92, "word": " هذول", "probability": 0.9622395833333334}, {"start": 263.92, "end": 265.3, "word": " معتمدات", "probability": 0.9468994140625}, {"start": 265.3, "end": 265.56, "word": " و", "probability": 0.99072265625}, {"start": 265.56, "end": 265.96, "word": " ليست", "probability": 0.798095703125}, {"start": 265.96, "end": 266.8, "word": " مستقلات", "probability": 0.9833984375}, {"start": 266.8, "end": 267.02, "word": " عن", "probability": 0.9951171875}, {"start": 267.02, "end": 267.54, "word": " بعضهم", "probability": 0.9646809895833334}], "temperature": 1.0}, {"id": 12, "seek": 28650, "start": 267.82, "end": 286.5, "text": "واضح كلامي؟ يبقى انا لو اعطاني مجموعة من ال vectors وقال لي شوف لي هدول are linearly dependent ولا linearly independent بدي اضرب كل صندوق في الأول وكل صندوق في التاني و .. و .. و .. كل صندوق في الأخير و أجمع و أروح أجيب قيم هذه الثوابت", "tokens": [2407, 46958, 5016, 28242, 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0.75390625}, {"start": 273.16, "end": 273.78, "word": " linearly", "probability": 0.96337890625}, {"start": 273.78, "end": 274.44, "word": " dependent", "probability": 0.73779296875}, {"start": 274.44, "end": 274.86, "word": " ولا", "probability": 0.861328125}, {"start": 274.86, "end": 275.64, "word": " linearly", "probability": 0.9814453125}, {"start": 275.64, "end": 276.76, "word": " independent", "probability": 0.955078125}, {"start": 276.76, "end": 277.86, "word": " بدي", "probability": 0.6298828125}, {"start": 277.86, "end": 278.18, "word": " اضرب", "probability": 0.9334309895833334}, {"start": 278.18, "end": 278.4, "word": " كل", "probability": 0.51171875}, {"start": 278.4, "end": 278.74, "word": " صندوق", "probability": 0.7169596354166666}, {"start": 278.74, "end": 278.84, "word": " في", "probability": 0.90673828125}, {"start": 278.84, "end": 279.12, "word": " الأول", "probability": 0.9228515625}, {"start": 279.12, "end": 279.44, "word": " وكل", "probability": 0.942138671875}, {"start": 279.44, "end": 279.72, "word": " صندوق", "probability": 0.962890625}, {"start": 279.72, "end": 279.86, "word": " في", "probability": 0.96826171875}, {"start": 279.86, "end": 280.28, "word": " التاني", "probability": 0.833984375}, {"start": 280.28, "end": 280.5, "word": " و", "probability": 0.92626953125}, {"start": 280.5, "end": 280.62, "word": " ..", "probability": 0.421630859375}, {"start": 280.62, "end": 280.72, "word": " و", "probability": 0.93408203125}, {"start": 280.72, "end": 280.86, "word": " ..", "probability": 0.97900390625}, {"start": 280.86, "end": 281.04, "word": " و", "probability": 0.99072265625}, {"start": 281.04, "end": 281.12, "word": " ..", "probability": 0.66162109375}, {"start": 281.12, "end": 281.28, "word": " كل", "probability": 0.495361328125}, {"start": 281.28, "end": 281.6, "word": " صندوق", "probability": 0.94921875}, {"start": 281.6, "end": 281.76, "word": " في", "probability": 0.9833984375}, {"start": 281.76, "end": 282.28, "word": " الأخير", "probability": 0.8040364583333334}, {"start": 282.28, "end": 282.84, "word": " و", "probability": 0.900390625}, {"start": 282.84, "end": 283.82, "word": " أجمع", "probability": 0.745880126953125}, {"start": 283.82, "end": 283.98, "word": " و", "probability": 0.85791015625}, {"start": 283.98, "end": 284.24, "word": " أروح", "probability": 0.77685546875}, {"start": 284.24, "end": 284.72, "word": " أجيب", "probability": 0.93017578125}, {"start": 284.72, "end": 285.22, "word": " قيم", "probability": 0.9755859375}, {"start": 285.22, "end": 285.76, "word": " هذه", "probability": 0.96630859375}, {"start": 285.76, "end": 286.5, "word": " الثوابت", "probability": 0.8869140625}], "temperature": 1.0}, {"id": 13, "seek": 30339, "start": 286.92, "end": 303.4, "text": "انطلع قيم هذه ثوابت ليست اسفارا يعني مش كلها اسفارا يبقى بيصيروا ال vectors هذه linearly independent وانطلعوا الثوابت كلهم اسفارا يبقى بيقول linearly independent طيب تعالى نشوف", "tokens": [7649, 9566, 1211, 3615, 12174, 32640, 29538, 38637, 14407, 3555, 2655, 32239, 14851, 24525, 5172, 9640, 995, 37495, 22653, 37893, 28242, 11296, 24525, 5172, 9640, 995, 7251, 3555, 4587, 7578, 4724, 1829, 9381, 13546, 14407, 2423, 18875, 29538, 43586, 6695, 4032, 7649, 9566, 1211, 3615, 14407, 6024, 104, 14407, 3555, 2655, 28242, 16095, 24525, 5172, 9640, 995, 7251, 3555, 4587, 7578, 4724, 1829, 39648, 43586, 6695, 23032, 1829, 3555, 37279, 6027, 7578, 8717, 8592, 38688], "avg_logprob": -0.16303454574785733, "compression_ratio": 1.7391304347826086, "no_speech_prob": 0.0, "words": [{"start": 286.92, "end": 287.6, "word": "انطلع", "probability": 0.82757568359375}, {"start": 287.6, "end": 287.96, "word": " قيم", "probability": 0.89990234375}, {"start": 287.96, "end": 288.26, "word": " هذه", "probability": 0.89990234375}, {"start": 288.26, "end": 288.9, "word": " ثوابت", "probability": 0.8338623046875}, {"start": 288.9, "end": 289.7, "word": " ليست", "probability": 0.960693359375}, {"start": 289.7, "end": 290.82, "word": " اسفارا", "probability": 0.7803955078125}, {"start": 290.82, "end": 291.54, "word": " يعني", "probability": 0.619140625}, {"start": 291.54, "end": 291.74, "word": " مش", "probability": 0.91357421875}, {"start": 291.74, "end": 292.26, "word": " كلها", "probability": 0.98388671875}, {"start": 292.26, "end": 293.04, "word": " اسفارا", "probability": 0.9332275390625}, {"start": 293.04, "end": 293.76, "word": " يبقى", "probability": 0.9630126953125}, {"start": 293.76, "end": 294.18, "word": " بيصيروا", "probability": 0.765234375}, {"start": 294.18, "end": 294.24, "word": " ال", "probability": 0.89208984375}, {"start": 294.24, "end": 294.54, "word": " vectors", "probability": 0.66845703125}, {"start": 294.54, "end": 294.82, "word": " هذه", "probability": 0.2017822265625}, {"start": 294.82, "end": 295.5, "word": " linearly", "probability": 0.88818359375}, {"start": 295.5, "end": 296.5, "word": " independent", "probability": 0.49755859375}, {"start": 296.5, "end": 297.66, "word": " وانطلعوا", "probability": 0.9444986979166666}, {"start": 297.66, "end": 298.28, "word": " الثوابت", "probability": 0.93857421875}, {"start": 298.28, "end": 298.8, "word": " كلهم", "probability": 0.955322265625}, {"start": 298.8, "end": 299.58, "word": " اس��ارا", "probability": 0.9755859375}, {"start": 299.58, "end": 299.8, "word": " يبقى", "probability": 0.932861328125}, {"start": 299.8, "end": 300.12, "word": " بيقول", "probability": 0.81689453125}, {"start": 300.12, "end": 300.72, "word": " linearly", "probability": 0.8720703125}, {"start": 300.72, "end": 302.14, "word": " independent", "probability": 0.96435546875}, {"start": 302.14, "end": 302.7, "word": " طيب", "probability": 0.9285481770833334}, {"start": 302.7, "end": 303.04, "word": " تعالى", "probability": 0.9267578125}, {"start": 303.04, "end": 303.4, "word": " نشوف", "probability": 0.9934895833333334}], "temperature": 1.0}, {"id": 14, "seek": 33045, "start": 304.05, "end": 330.45, "text": "Determine whether the following vectors are linearly-dependent or linearly-independent Ld اختصار لـ linearly-dependent وLi اختصار لـ linearly-independent ومعطيني مجموعة من ال vectors الأولى موجودة في R3 ومجموعة ثانية موجودة في R4 يبقى هذول كانوا مسؤالين مستقلين عن بعض خاطئين", "tokens": [35, 35344, 533, 1968, 264, 3480, 18875, 366, 43586, 12, 36763, 317, 420, 43586, 12, 471, 4217, 317, 441, 67, 1975, 46456, 9381, 9640, 5296, 39184, 43586, 12, 36763, 317, 4032, 43, 72, 1975, 46456, 9381, 9640, 5296, 39184, 43586, 12, 471, 4217, 317, 4032, 2304, 3615, 9566, 9957, 1829, 3714, 7435, 2304, 2407, 27884, 9154, 2423, 18875, 16247, 12610, 7578, 3714, 29245, 23328, 3660, 8978, 497, 18, 4032, 2304, 7435, 2304, 2407, 27884, 38637, 7649, 10632, 3714, 29245, 23328, 3660, 8978, 497, 19, 7251, 3555, 4587, 7578, 8032, 8848, 12610, 25961, 14407, 47524, 33604, 6027, 9957, 3714, 14851, 4587, 1211, 9957, 18871, 45030, 11242, 16490, 41193, 19986, 9957], "avg_logprob": -0.23792614327235656, "compression_ratio": 1.7239819004524888, "no_speech_prob": 0.0, "words": [{"start": 304.05, "end": 305.23, "word": "Determine", "probability": 0.6565755208333334}, {"start": 305.23, "end": 305.47, "word": " whether", "probability": 0.74169921875}, {"start": 305.47, "end": 305.75, "word": " the", "probability": 0.884765625}, {"start": 305.75, "end": 306.09, "word": " following", "probability": 0.8203125}, {"start": 306.09, "end": 306.55, "word": " vectors", "probability": 0.97412109375}, {"start": 306.55, "end": 306.87, "word": " are", "probability": 0.93896484375}, {"start": 306.87, "end": 307.49, "word": " linearly", "probability": 0.904296875}, {"start": 307.49, "end": 308.49, "word": "-dependent", "probability": 0.65093994140625}, {"start": 308.49, "end": 308.81, "word": " or", "probability": 0.9482421875}, {"start": 308.81, "end": 309.71, "word": " linearly", "probability": 0.93017578125}, {"start": 309.71, "end": 310.79, "word": "-independent", "probability": 0.9111328125}, {"start": 310.79, "end": 311.67, "word": " Ld", "probability": 0.28515625}, {"start": 311.67, "end": 312.79, "word": " اختصار", "probability": 0.77581787109375}, {"start": 312.79, "end": 313.07, "word": " لـ", "probability": 0.5428466796875}, {"start": 313.07, "end": 313.39, "word": " linearly", "probability": 0.60546875}, {"start": 313.39, "end": 314.37, "word": "-dependent", "probability": 0.7398274739583334}, {"start": 314.37, "end": 315.47, "word": " وLi", "probability": 0.5606282552083334}, {"start": 315.47, "end": 316.17, "word": " اختصار", "probability": 0.97412109375}, {"start": 316.17, "end": 316.69, "word": " لـ", "probability": 0.92578125}, {"start": 316.69, "end": 317.01, "word": " linearly", "probability": 0.93603515625}, {"start": 317.01, "end": 318.39, "word": "-independent", "probability": 0.955810546875}, {"start": 318.39, "end": 319.37, "word": " ومعطيني", "probability": 0.8076171875}, {"start": 319.37, "end": 319.89, "word": " مجموعة", "probability": 0.93466796875}, {"start": 319.89, "end": 320.07, "word": " من", "probability": 0.97705078125}, {"start": 320.07, "end": 320.19, "word": " ال", "probability": 0.84814453125}, {"start": 320.19, "end": 320.55, "word": " vectors", "probability": 0.32080078125}, {"start": 320.55, "end": 321.17, "word": " الأولى", "probability": 0.9039713541666666}, {"start": 321.17, "end": 321.73, "word": " موجودة", "probability": 0.9586181640625}, {"start": 321.73, "end": 321.93, "word": " في", "probability": 0.9482421875}, {"start": 321.93, "end": 322.71, "word": " R3", "probability": 0.7900390625}, {"start": 322.71, "end": 324.25, "word": " ومجموعة", "probability": 0.88427734375}, {"start": 324.25, "end": 324.61, "word": " ثانية", "probability": 0.87060546875}, {"start": 324.61, "end": 325.15, "word": " موجودة", "probability": 0.955810546875}, {"start": 325.15, "end": 325.35, "word": " في", "probability": 0.97119140625}, {"start": 325.35, "end": 326.33, "word": " R4", "probability": 0.986572265625}, {"start": 326.33, "end": 327.03, "word": " يبقى", "probability": 0.95849609375}, {"start": 327.03, "end": 327.33, "word": " هذول", "probability": 0.6207682291666666}, {"start": 327.33, "end": 327.71, "word": " كانوا", "probability": 0.946044921875}, {"start": 327.71, "end": 328.15, "word": " مسؤالين", "probability": 0.83447265625}, {"start": 328.15, "end": 328.95, "word": " مستقلين", "probability": 0.9787109375}, {"start": 328.95, "end": 329.17, "word": " عن", "probability": 0.9970703125}, {"start": 329.17, "end": 329.63, "word": " بعض", "probability": 0.996826171875}, {"start": 329.63, "end": 330.45, "word": " خاطئين", "probability": 0.67999267578125}], "temperature": 1.0}, {"id": 15, "seek": 35314, "start": 330.68, "end": 353.14, "text": "هل المجموعة الأولى مستقلة عن بعض خطيا؟ و الله معتمدة على بعض خطيا فبقى اقول له assume that there exist c1 و c2 و c3 in R such that", "tokens": [3224, 1211, 9673, 7435, 2304, 2407, 27884, 16247, 12610, 7578, 3714, 14851, 4587, 37977, 18871, 45030, 11242, 16490, 9566, 25528, 22807, 4032, 21984, 3714, 34268, 2304, 41891, 15844, 45030, 11242, 16490, 9566, 25528, 6156, 3555, 4587, 7578, 1975, 39648, 46740, 6552, 300, 456, 2514, 269, 16, 4032, 269, 17, 4032, 269, 18, 294, 497, 1270, 300], "avg_logprob": -0.29906799082170454, "compression_ratio": 1.3265306122448979, "no_speech_prob": 0.0, "words": [{"start": 330.68, "end": 331.88, "word": "هل", "probability": 0.6090087890625}, {"start": 331.88, "end": 332.5, "word": " المجموعة", "probability": 0.867578125}, {"start": 332.5, "end": 333.22, "word": " الأولى", "probability": 0.89208984375}, {"start": 333.22, "end": 334.16, "word": " مستقلة", "probability": 0.9046630859375}, {"start": 334.16, "end": 334.42, "word": " عن", "probability": 0.912109375}, {"start": 334.42, "end": 334.74, "word": " بعض", "probability": 0.990234375}, {"start": 334.74, "end": 335.48, "word": " خطيا؟", "probability": 0.71551513671875}, {"start": 335.48, "end": 335.56, "word": " و", "probability": 0.366455078125}, {"start": 335.56, "end": 335.76, "word": " الله", "probability": 0.48779296875}, {"start": 335.76, "end": 336.8, "word": " معتمدة", "probability": 0.84716796875}, {"start": 336.8, "end": 337.42, "word": " على", "probability": 0.82373046875}, {"start": 337.42, "end": 337.92, "word": " بعض", "probability": 0.995849609375}, {"start": 337.92, "end": 338.62, "word": " خطيا", "probability": 0.9811197916666666}, {"start": 338.62, "end": 339.34, "word": " فبقى", "probability": 0.65875244140625}, {"start": 339.34, "end": 339.82, "word": " اقول", "probability": 0.4212646484375}, {"start": 339.82, "end": 340.06, "word": " له", "probability": 0.625}, {"start": 340.06, "end": 340.94, "word": " assume", "probability": 0.1790771484375}, {"start": 340.94, "end": 344.72, "word": " that", "probability": 0.806640625}, {"start": 344.72, "end": 346.18, "word": " there", "probability": 0.8740234375}, {"start": 346.18, "end": 346.88, "word": " exist", "probability": 0.66796875}, {"start": 346.88, "end": 347.64, "word": " c1", "probability": 0.681640625}, {"start": 347.64, "end": 348.02, "word": " و", "probability": 0.76171875}, {"start": 348.02, "end": 348.66, "word": " c2", "probability": 0.882568359375}, {"start": 348.66, "end": 349.3, "word": " و", "probability": 0.990234375}, {"start": 349.3, "end": 350.26, "word": " c3", "probability": 0.947021484375}, {"start": 350.26, "end": 350.92, "word": " in", "probability": 0.8974609375}, {"start": 350.92, "end": 351.66, "word": " R", "probability": 0.6826171875}, {"start": 351.66, "end": 352.52, "word": " such", "probability": 0.8876953125}, {"start": 352.52, "end": 353.14, "word": " that", "probability": 0.95703125}], "temperature": 1.0}, {"id": 16, "seek": 37557, "start": 353.93, "end": 375.57, "text": "بحيث ان الـ C1 V1 زائد C2 V2 زائد C3 V3 بده يساوي 0 والان بعد هيك بتروح ابحث قيم C1 وC2 وC3 اللي و الله يطلع كلهم أسفار بقول هدول linearly independent", "tokens": [3555, 5016, 1829, 12984, 16472, 2423, 39184, 383, 16, 691, 16, 30767, 16373, 3215, 383, 17, 691, 17, 30767, 16373, 3215, 383, 18, 691, 18, 47525, 3224, 7251, 3794, 995, 45865, 1958, 4032, 6027, 7649, 39182, 39896, 4117, 39894, 32887, 5016, 48127, 5016, 12984, 12174, 32640, 383, 16, 4032, 34, 17, 4032, 34, 18, 13672, 1829, 4032, 21984, 7251, 9566, 1211, 3615, 28242, 16095, 5551, 3794, 5172, 9640, 4724, 39648, 8032, 3215, 12610, 43586, 6695], "avg_logprob": -0.26973684955584376, "compression_ratio": 1.369047619047619, "no_speech_prob": 0.0, "words": [{"start": 353.93, "end": 354.75, "word": "بحيث", "probability": 0.88818359375}, {"start": 354.75, "end": 355.13, "word": " ان", "probability": 0.66064453125}, {"start": 355.13, "end": 356.11, "word": " الـ", "probability": 0.5291748046875}, {"start": 356.11, "end": 356.85, "word": " C1", "probability": 0.667236328125}, {"start": 356.85, "end": 357.63, "word": " V1", "probability": 0.6878662109375}, {"start": 357.63, "end": 358.09, "word": " زائد", "probability": 0.42205810546875}, {"start": 358.09, "end": 358.85, "word": " C2", "probability": 0.978271484375}, {"start": 358.85, "end": 359.69, "word": " V2", "probability": 0.98681640625}, {"start": 359.69, "end": 360.43, "word": " زائد", "probability": 0.8753255208333334}, {"start": 360.43, "end": 361.29, "word": " C3", "probability": 0.989013671875}, {"start": 361.29, "end": 362.27, "word": " V3", "probability": 0.989990234375}, {"start": 362.27, "end": 362.63, "word": " بده", "probability": 0.37884521484375}, {"start": 362.63, "end": 363.03, "word": " يساوي", "probability": 0.9375}, {"start": 363.03, "end": 363.39, "word": " 0", "probability": 0.280029296875}, {"start": 363.39, "end": 364.57, "word": " والان", "probability": 0.4972330729166667}, {"start": 364.57, "end": 364.93, "word": " بعد", "probability": 0.9248046875}, {"start": 364.93, "end": 365.29, "word": " هيك", "probability": 0.859619140625}, {"start": 365.29, "end": 365.61, "word": " بتروح", "probability": 0.761962890625}, {"start": 365.61, "end": 366.25, "word": " ابحث", "probability": 0.923828125}, {"start": 366.25, "end": 366.69, "word": " قيم", "probability": 0.97314453125}, {"start": 366.69, "end": 368.07, "word": " C1", "probability": 0.96826171875}, {"start": 368.07, "end": 369.15, "word": " وC2", "probability": 0.8343098958333334}, {"start": 369.15, "end": 370.43, "word": " وC3", "probability": 0.9718424479166666}, {"start": 370.43, "end": 371.01, "word": " اللي", "probability": 0.59765625}, {"start": 371.01, "end": 371.11, "word": " و", "probability": 0.352294921875}, {"start": 371.11, "end": 371.39, "word": " الله", "probability": 0.93359375}, {"start": 371.39, "end": 371.83, "word": " يطلع", "probability": 0.95361328125}, {"start": 371.83, "end": 372.31, "word": " كلهم", "probability": 0.93505859375}, {"start": 372.31, "end": 372.93, "word": " أسفار", "probability": 0.79718017578125}, {"start": 372.93, "end": 373.69, "word": " بقول", "probability": 0.6591796875}, {"start": 373.69, "end": 374.01, "word": " هدول", "probability": 0.79443359375}, {"start": 374.01, "end": 374.75, "word": " linearly", "probability": 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"temperature": 1.0}, {"id": 31, "seek": 77033, "start": 764.63, "end": 770.33, "text": "بناء عليه بقدر اقول ما يأتي من هذه", "tokens": [3555, 1863, 16606, 47356, 4724, 28543, 2288, 1975, 39648, 19446, 7251, 10721, 31371, 9154, 29538], "avg_logprob": -0.2456054650247097, "compression_ratio": 0.9682539682539683, "no_speech_prob": 0.0, "words": [{"start": 764.63, "end": 765.97, "word": "بناء", "probability": 0.8681640625}, {"start": 765.97, "end": 766.59, "word": " عليه", "probability": 0.61865234375}, {"start": 766.59, "end": 767.57, "word": " بقدر", "probability": 0.7985026041666666}, {"start": 767.57, "end": 768.05, "word": " اقول", "probability": 0.751220703125}, {"start": 768.05, "end": 768.35, "word": " ما", "probability": 0.8134765625}, {"start": 768.35, "end": 769.11, "word": " يأتي", "probability": 0.8802083333333334}, {"start": 769.11, "end": 769.83, "word": " من", "probability": 0.970703125}, {"start": 769.83, "end": 770.33, "word": " هذه", "probability": 0.666015625}], 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1105.38, "end": 1106.5, "word": " معادلتين", "probability": 0.95888671875}, {"start": 1106.5, "end": 1106.72, "word": " في", "probability": 0.9228515625}, {"start": 1106.72, "end": 1107.4, "word": " ثلاثة", "probability": 0.9654296875}, {"start": 1107.4, "end": 1108.04, "word": " مجاهيل", "probability": 0.9239501953125}, {"start": 1108.04, "end": 1108.76, "word": " لا", "probability": 0.61181640625}, {"start": 1108.76, "end": 1109.36, "word": " يمكن", "probability": 0.93896484375}, {"start": 1109.36, "end": 1110.08, "word": " حلهم", "probability": 0.9498697916666666}, {"start": 1110.08, "end": 1110.54, "word": " إلا", "probability": 0.9541015625}, {"start": 1110.54, "end": 1110.96, "word": " إذا", "probability": 0.973876953125}, {"start": 1110.96, "end": 1111.6, "word": " فرطت", "probability": 0.7611083984375}, {"start": 1111.6, "end": 1111.92, "word": " أحد", "probability": 0.93701171875}, {"start": 1111.92, "end": 1112.8, "word": " المجاهيل", "probability": 0.9195556640625}, {"start": 1112.8, "end": 1113.38, "word": " من", "probability": 0.9775390625}, {"start": 1113.38, "end": 1113.86, "word": " عندي", "probability": 0.7861328125}, {"start": 1113.86, "end": 1114.42, "word": " إذا", "probability": 0.79931640625}, {"start": 1114.42, "end": 1114.68, "word": " لو", "probability": 0.97509765625}, {"start": 1114.68, "end": 1115.02, "word": " جيت", "probability": 0.975830078125}, {"start": 1115.02, "end": 1115.46, "word": " قلت", "probability": 0.82177734375}, {"start": 1115.46, "end": 1116.04, "word": " مثلا", "probability": 0.974609375}, {"start": 1116.04, "end": 1116.64, "word": " F", "probability": 0.61767578125}], "temperature": 1.0}, {"id": 47, "seek": 114045, "start": 1117.49, "end": 1140.45, "text": "C3 تساوي A ثم C1 تساوي نقص 3A ثم C2 تساوي 2A يبقى أصبح solution is C1 وC2 وC3", "tokens": [34, 18, 6055, 3794, 995, 45865, 316, 38637, 2304, 383, 16, 6055, 3794, 995, 45865, 8717, 4587, 9381, 805, 32, 38637, 2304, 383, 17, 6055, 3794, 995, 45865, 568, 32, 7251, 3555, 4587, 7578, 5551, 9381, 49628, 3827, 307, 383, 16, 4032, 34, 17, 4032, 34, 18], "avg_logprob": -0.2887369903425376, "compression_ratio": 1.211111111111111, "no_speech_prob": 0.0, "words": [{"start": 1117.49, "end": 1118.51, "word": "C3", "probability": 0.53369140625}, {"start": 1118.51, "end": 1119.41, "word": " تساوي", "probability": 0.6877098083496094}, {"start": 1119.41, "end": 1119.89, "word": " A", "probability": 0.6123046875}, {"start": 1119.89, "end": 1120.87, "word": " ثم", "probability": 0.78125}, {"start": 1120.87, "end": 1122.03, "word": " C1", "probability": 0.908447265625}, {"start": 1122.03, "end": 1122.99, "word": " تساوي", "probability": 0.76837158203125}, {"start": 1122.99, "end": 1124.11, "word": " نقص", "probability": 0.56756591796875}, {"start": 1124.11, "end": 1125.33, "word": " 3A", "probability": 0.6416015625}, {"start": 1125.33, "end": 1126.25, "word": " ثم", "probability": 0.8955078125}, {"start": 1126.25, "end": 1127.63, "word": " C2", "probability": 0.96435546875}, {"start": 1127.63, "end": 1128.77, "word": " تساوي", "probability": 0.929931640625}, {"start": 1128.77, "end": 1129.97, "word": " 2A", "probability": 0.940185546875}, {"start": 1129.97, "end": 1130.97, "word": " يبقى", "probability": 0.822998046875}, {"start": 1130.97, "end": 1131.65, "word": " أصبح", "probability": 0.8805338541666666}, {"start": 1131.65, "end": 1133.53, "word": " solution", "probability": 0.292236328125}, {"start": 1133.53, "end": 1136.35, "word": " is", "probability": 0.32177734375}, {"start": 1136.35, "end": 1137.73, "word": " C1", "probability": 0.87939453125}, {"start": 1137.73, "end": 1138.77, "word": " وC2", "probability": 0.6973470052083334}, {"start": 1138.77, "end": 1140.45, "word": " وC3", "probability": 0.9685872395833334}], "temperature": 1.0}, {"id": 48, "seek": 115440, "start": 1150.18, "end": 1154.4, "text": "يبقى هذا كله لا يساوي", "tokens": [1829, 3555, 4587, 7578, 23758, 28242, 3224, 20193, 7251, 3794, 995, 45865], "avg_logprob": -0.5787259615384616, "compression_ratio": 0.8260869565217391, "no_speech_prob": 0.004085540771484375, "words": [{"start": 1150.1799999999998, "end": 1151.58, "word": "يبقى", "probability": 0.6518707275390625}, {"start": 1151.58, "end": 1151.88, "word": " هذا", "probability": 0.214599609375}, {"start": 1151.88, "end": 1152.94, "word": " كله", "probability": 0.885986328125}, {"start": 1152.94, "end": 1153.46, "word": " لا", "probability": 0.74560546875}, {"start": 1153.46, "end": 1154.4, "word": " يساوي", "probability": 0.8697509765625}], "temperature": 1.0}, {"id": 49, "seek": 117203, "start": 1171.85, "end": 1172.03, "text": "السلام عليكم", "tokens": [6027, 3794, 37440, 25894, 24793], "avg_logprob": -0.9010416269302368, "compression_ratio": 0.7419354838709677, "no_speech_prob": 0.1282958984375, "words": [{"start": 1171.85, "end": 1172.03, "word": "السلام", "probability": 0.3173014322916667}, {"start": 1172.03, "end": 1172.03, "word": " عليكم", "probability": 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"word": " أسفارا", "probability": 0.8890625}, {"start": 1202.17, "end": 1202.65, "word": " طبعا", "probability": 0.7213134765625}, {"start": 1202.65, "end": 1203.15, "word": " يعنى", "probability": 0.7737630208333334}, {"start": 1203.15, "end": 1203.55, "word": " طلعوا", "probability": 0.9188232421875}, {"start": 1203.55, "end": 1204.07, "word": " أرقام", "probability": 0.957763671875}, {"start": 1204.07, "end": 1204.27, "word": " و", "probability": 0.994140625}, {"start": 1204.27, "end": 1204.99, "word": " ليسوا", "probability": 0.89892578125}, {"start": 1204.99, "end": 1205.73, "word": " أسفارا", "probability": 0.97841796875}, {"start": 1205.73, "end": 1206.51, "word": " وبالتالي", "probability": 0.84736328125}, {"start": 1206.51, "end": 1206.83, "word": " صار", "probability": 0.691650390625}, {"start": 1206.83, "end": 1206.91, "word": " ال", "probability": 0.271240234375}, {"start": 1206.91, "end": 1207.13, "word": " three", "probability": 0.77197265625}, {"start": 1207.13, "end": 1207.55, "word": " vectors", "probability": 0.921875}, {"start": 1207.55, "end": 1207.95, "word": " are", "probability": 0.88427734375}, {"start": 1207.95, "end": 1208.47, "word": " linearly", "probability": 0.890625}, {"start": 1208.47, "end": 1209.65, "word": " dependent", "probability": 0.86279296875}, {"start": 1209.65, "end": 1210.65, "word": " الآن", "probability": 0.632080078125}, {"start": 1210.65, "end": 1211.09, "word": " بنفس", "probability": 0.9853515625}, {"start": 1211.09, "end": 1211.63, "word": " الفكرة", "probability": 0.9832356770833334}, {"start": 1211.63, "end": 1211.91, "word": " بإن", "probability": 0.6725260416666666}, {"start": 1211.91, "end": 1211.99, "word": " أنا", "probability": 0.398681640625}, {"start": 1211.99, "end": 1212.19, "word": " اجى", "probability": 0.6217447916666666}, {"start": 1212.19, "end": 1212.73, "word": " للمطموب", "probability": 0.7013753255208334}, {"start": 1212.73, "end": 1213.23, "word": " الثانى", "probability": 0.875}, {"start": 1213.23, "end": 1213.83, "word": " Nimra", "probability": 0.30126953125}, {"start": 1213.83, "end": 1214.05, "word": " V", "probability": 0.5791015625}], "temperature": 1.0}, {"id": 51, "seek": 123867, "start": 1214.49, "end": 1238.67, "text": "يمكننا نمر بيه بداية اقول له assume افترض assume that there exist c1 و c2 و c3 in a set of real numbers such that بحيث ان c1, v1, c2, v2", "tokens": [32640, 19452, 8315, 8717, 29973, 4724, 1829, 3224, 4724, 28259, 10632, 1975, 39648, 46740, 6552, 1975, 5172, 2655, 43042, 6552, 300, 456, 2514, 269, 16, 4032, 269, 17, 4032, 269, 18, 294, 257, 992, 295, 957, 3547, 1270, 300, 4724, 5016, 1829, 12984, 16472, 269, 16, 11, 371, 16, 11, 269, 17, 11, 371, 17], "avg_logprob": -0.27148436488849775, "compression_ratio": 1.2112676056338028, "no_speech_prob": 0.0, "words": [{"start": 1214.49, "end": 1215.53, "word": "يمكننا", "probability": 0.6414794921875}, {"start": 1215.53, "end": 1215.81, "word": " نمر", "probability": 0.87353515625}, {"start": 1215.81, "end": 1216.37, "word": " بيه", "probability": 0.5848795572916666}, {"start": 1216.37, "end": 1216.75, "word": " بداية", "probability": 0.6324869791666666}, {"start": 1216.75, "end": 1217.13, "word": " اقول", "probability": 0.482666015625}, {"start": 1217.13, "end": 1217.39, "word": " له", "probability": 0.362060546875}, {"start": 1217.39, "end": 1218.11, "word": " assume", "probability": 0.74755859375}, {"start": 1218.11, "end": 1219.47, "word": " افترض", "probability": 0.925537109375}, {"start": 1219.47, "end": 1220.85, "word": " assume", "probability": 0.56689453125}, {"start": 1220.85, "end": 1221.73, "word": " that", "probability": 0.92529296875}, {"start": 1221.73, "end": 1222.69, "word": " there", "probability": 0.88671875}, {"start": 1222.69, "end": 1223.53, "word": " exist", "probability": 0.7041015625}, {"start": 1223.53, "end": 1224.87, "word": " c1", "probability": 0.757568359375}, {"start": 1224.87, "end": 1225.41, "word": " و", "probability": 0.93212890625}, {"start": 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79, "seek": 192544, "start": 1897.76, "end": 1925.44, "text": "AI-1VI-1 زائد اللي هو AI plus one VI plus one زائد زائد اللي هو AMVM ايش تفسيرك لهذا انه VI linear combination من الآخرين اظن هو المضطب الأول", "tokens": [48698, 12, 16, 53, 40, 12, 16, 30767, 16373, 3215, 13672, 1829, 31439, 7318, 1804, 472, 27619, 1804, 472, 30767, 16373, 3215, 30767, 16373, 3215, 13672, 1829, 31439, 6475, 53, 44, 1975, 1829, 8592, 6055, 36178, 13546, 4117, 46740, 15730, 16472, 3224, 27619, 8213, 6562, 9154, 6024, 95, 34740, 9957, 1975, 19913, 1863, 31439, 9673, 11242, 9566, 3555, 16247, 12610], "avg_logprob": -0.33837089773084295, "compression_ratio": 1.355263157894737, "no_speech_prob": 0.0, "words": [{"start": 1897.76, "end": 1898.46, "word": "AI", "probability": 0.430419921875}, {"start": 1898.46, "end": 1901.04, "word": "-1VI", "probability": 0.6470947265625}, {"start": 1901.04, "end": 1902.46, "word": "-1", "probability": 0.913330078125}, {"start": 1902.46, "end": 1903.66, "word": " زائد", 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others", "probability": 0.90478515625}, {"start": 1946.68, "end": 1954.3, "word": " طيب", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 81, "seek": 197983, "start": 1954.95, "end": 1979.83, "text": "بنعمل العملية العكسية بناخد واحد فيهم linear combination من الآخرين ونثبت أن هذه المجموعة linearly dependent تمام يبقى بالداجي أقول له conversely conversely يعني بالعكس assume that", "tokens": [3555, 1863, 25957, 1211, 18863, 42213, 10632, 18863, 4117, 3794, 10632, 44945, 47283, 3215, 36764, 24401, 8978, 16095, 8213, 6562, 9154, 6024, 95, 34740, 9957, 4032, 1863, 12984, 3555, 2655, 14739, 29538, 9673, 7435, 2304, 2407, 27884, 43586, 12334, 46811, 10943, 7251, 3555, 4587, 7578, 20666, 3215, 26108, 1829, 5551, 39648, 46740, 2615, 736, 2615, 736, 37495, 22653, 20666, 3615, 4117, 3794, 6552, 300], "avg_logprob": -0.26514423076923077, "compression_ratio": 1.4594594594594594, "no_speech_prob": 0.0, "words": [{"start": 1954.95, "end": 1955.61, "word": "بنعمل", "probability": 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" هذه", "probability": 0.90966796875}, {"start": 1963.95, "end": 1964.49, "word": " المجموعة", "probability": 0.9056640625}, {"start": 1964.49, "end": 1965.21, "word": " linearly", "probability": 0.9609375}, {"start": 1965.21, "end": 1966.45, "word": " dependent", "probability": 0.7265625}, {"start": 1966.45, "end": 1967.49, "word": " تمام", "probability": 0.7164306640625}, {"start": 1967.49, "end": 1968.43, "word": " يبقى", "probability": 0.8492431640625}, {"start": 1968.43, "end": 1968.89, "word": " بالداجي", "probability": 0.63348388671875}, {"start": 1968.89, "end": 1969.19, "word": " أقول", "probability": 0.7958984375}, {"start": 1969.19, "end": 1969.39, "word": " له", "probability": 0.09515380859375}, {"start": 1969.39, "end": 1970.53, "word": " conversely", "probability": 0.92919921875}, {"start": 1970.53, "end": 1973.21, "word": " conversely", "probability": 0.7169189453125}, {"start": 1973.21, "end": 1973.63, "word": " يعني", "probability": 0.918701171875}, {"start": 1973.63, "end": 1975.15, "word": " بالعكس", "probability": 0.9925537109375}, {"start": 1975.15, "end": 1976.87, "word": " assume", "probability": 0.82275390625}, {"start": 1976.87, "end": 1979.83, "word": " that", "probability": 0.9287109375}], "temperature": 1.0}, {"id": 82, "seek": 200722, "start": 1980.82, "end": 2007.22, "text": "VK is a linear combination of the vectors V1 و V2 و لغاية VK-L1 و VK plus one", "tokens": [53, 42, 307, 257, 8213, 6562, 295, 264, 18875, 691, 16, 4032, 691, 17, 4032, 5296, 17082, 995, 10632, 691, 42, 12, 43, 16, 4032, 691, 42, 1804, 472], "avg_logprob": -0.42109375397364296, "compression_ratio": 0.9770114942528736, "no_speech_prob": 0.0, "words": [{"start": 1980.82, "end": 1982.4, "word": "VK", "probability": 0.4337158203125}, {"start": 1982.4, "end": 1983.44, "word": " is", "probability": 0.03515625}, {"start": 1983.44, "end": 1984.42, "word": " a", "probability": 0.828125}, {"start": 1984.42, "end": 1985.22, "word": " linear", "probability": 0.9072265625}, {"start": 1985.22, "end": 1987.74, "word": " combination", "probability": 0.9580078125}, {"start": 1987.74, "end": 1993.44, "word": " of", "probability": 0.85400390625}, {"start": 1993.44, "end": 1994.94, "word": " the", "probability": 0.5693359375}, {"start": 1994.94, "end": 1997.16, "word": " vectors", "probability": 0.90380859375}, {"start": 1997.16, "end": 1999.52, "word": " V1", "probability": 0.80078125}, {"start": 1999.52, "end": 2000.04, "word": " و", "probability": 0.6650390625}, {"start": 2000.04, "end": 2000.86, "word": " V2", "probability": 0.7098388671875}, {"start": 2000.86, "end": 2001.46, "word": " و", "probability": 0.5908203125}, {"start": 2001.46, "end": 2001.88, "word": " لغاية", "probability": 0.85125732421875}, {"start": 2001.88, "end": 2002.66, "word": " VK", "probability": 0.886474609375}, {"start": 2002.66, "end": 2004.04, "word": "-L1", "probability": 0.5737711588541666}, {"start": 2004.04, "end": 2004.74, "word": " و", "probability": 0.845703125}, {"start": 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combination of the other بدي اثبت ان هذه ال vector كلها بما فيها ال V وK are linearly dependent تمام يبقى assume that linear combination of the vectors", "tokens": [6027, 7649, 1975, 8315, 6156, 43042, 2655, 16472, 2423, 8062, 12602, 4587, 2304, 591, 9154, 9673, 7435, 2304, 45367, 13672, 1829, 43242, 7578, 23758, 3714, 6027, 3224, 31439, 8062, 12602, 4587, 2304, 591, 31439, 8213, 6562, 9154, 16247, 34740, 9957, 31439, 28239, 19913, 2288, 10632, 8032, 7578, 307, 257, 8213, 6562, 295, 264, 661, 4724, 16254, 1975, 12984, 3555, 2655, 16472, 29538, 2423, 8062, 28242, 11296, 4724, 15042, 8978, 11296, 2423, 691, 4032, 42, 366, 43586, 12334, 46811, 10943, 7251, 3555, 4587, 7578, 6552, 300, 8213, 6562, 295, 264, 18875], "avg_logprob": -0.2671703303253258, "compression_ratio": 1.7356828193832599, "no_speech_prob": 0.0, "words": [{"start": 2020.9, "end": 2021.52, "word": "الان", "probability": 0.5279541015625}, {"start": 2021.52, "end": 2021.74, "word": " انا", "probability": 0.6234130859375}, 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2047.18, "end": 2047.52, "word": " assume", "probability": 0.6064453125}, {"start": 2047.52, "end": 2047.74, "word": " that", "probability": 0.92041015625}, {"start": 2047.74, "end": 2048.06, "word": " linear", "probability": 0.70556640625}, {"start": 2048.06, "end": 2048.84, "word": " combination", "probability": 0.95556640625}, {"start": 2048.84, "end": 2049.16, "word": " of", "probability": 0.9814453125}, {"start": 2049.16, "end": 2049.32, "word": " the", "probability": 0.87548828125}, {"start": 2049.32, "end": 2049.76, "word": " vectors", "probability": 0.92919921875}], "temperature": 1.0}, {"id": 85, "seek": 206250, "start": 2050.02, "end": 2062.5, "text": "يبقى هذا معناته ان there exist c1 و c2 و لغاية cm in R such that", "tokens": [1829, 3555, 4587, 7578, 23758, 20449, 8315, 47395, 16472, 456, 2514, 269, 16, 4032, 269, 17, 4032, 5296, 17082, 995, 10632, 14668, 294, 497, 1270, 300], "avg_logprob": -0.24204282186649465, "compression_ratio": 0.9555555555555556, "no_speech_prob": 0.0, "words": [{"start": 2050.02, "end": 2050.84, "word": "يبقى", "probability": 0.9354248046875}, {"start": 2050.84, "end": 2051.18, "word": " هذا", "probability": 0.8984375}, {"start": 2051.18, "end": 2051.92, "word": " معناته", "probability": 0.9480794270833334}, {"start": 2051.92, "end": 2052.24, "word": " ان", "probability": 0.59326171875}, {"start": 2052.24, "end": 2052.62, "word": " there", "probability": 0.298828125}, {"start": 2052.62, "end": 2053.28, "word": " exist", "probability": 0.76220703125}, {"start": 2053.28, "end": 2054.38, "word": " c1", "probability": 0.627197265625}, {"start": 2054.38, "end": 2054.94, "word": " و", "probability": 0.890625}, {"start": 2054.94, "end": 2055.94, "word": " c2", "probability": 0.85986328125}, {"start": 2055.94, "end": 2057.16, "word": " و", "probability": 0.830078125}, {"start": 2057.16, "end": 2057.9, "word": " لغاية", "probability": 0.9613037109375}, {"start": 2057.9, "end": 2058.7, "word": " cm", "probability": 0.4580078125}, {"start": 2058.7, "end": 2059.7, "word": " in", "probability": 0.5556640625}, {"start": 2059.7, "end": 2060.58, "word": " R", "probability": 0.69873046875}, {"start": 2060.58, "end": 2061.88, "word": " such", "probability": 0.91796875}, {"start": 2061.88, "end": 2062.5, "word": " that", "probability": 0.9599609375}], "temperature": 1.0}, {"id": 86, "seek": 209359, "start": 2065.35, "end": 2093.59, "text": "بحيث ان ال VK بده ساوي C1 V1 زاد C2 V2 زاد CK-1 في VK-1 زاد CK plus 1 في VK plus 1 زاد زاد CMVM", "tokens": [3555, 5016, 1829, 12984, 16472, 2423, 691, 42, 47525, 3224, 8608, 995, 45865, 383, 16, 691, 16, 30767, 18513, 383, 17, 691, 17, 30767, 18513, 383, 42, 12, 16, 8978, 691, 42, 12, 16, 30767, 18513, 383, 42, 1804, 502, 8978, 691, 42, 1804, 502, 30767, 18513, 30767, 18513, 20424, 53, 44], "avg_logprob": -0.3004127268521291, "compression_ratio": 1.372340425531915, "no_speech_prob": 0.0, "words": [{"start": 2065.35, "end": 2066.11, "word": "بحيث", "probability": 0.84222412109375}, {"start": 2066.11, "end": 2066.49, "word": " ان", "probability": 0.71533203125}, {"start": 2066.49, "end": 2067.33, "word": " ال", "probability": 0.6689453125}, {"start": 2067.33, "end": 2068.03, "word": " VK", "probability": 0.5565185546875}, {"start": 2068.03, "end": 2068.99, "word": " بده", "probability": 0.1584625244140625}, {"start": 2068.99, "end": 2069.51, "word": " ساوي", "probability": 0.8483072916666666}, {"start": 2069.51, "end": 2070.47, "word": " C1", "probability": 0.737060546875}, {"start": 2070.47, "end": 2071.27, "word": " V1", "probability": 0.72412109375}, {"start": 2071.27, "end": 2071.93, "word": " زاد", "probability": 0.2364044189453125}, {"start": 2071.93, "end": 2072.79, "word": " C2", "probability": 0.972900390625}, {"start": 2072.79, "end": 2074.41, "word": " V2", "probability": 0.967529296875}, {"start": 2074.41, "end": 2075.79, "word": " زاد", "probability": 0.886962890625}, {"start": 2075.79, "end": 2078.49, "word": " CK", "probability": 0.708984375}, {"start": 2078.49, "end": 2079.95, "word": "-1", "probability": 0.61181640625}, {"start": 2079.95, "end": 2080.53, "word": " في", "probability": 0.599609375}, {"start": 2080.53, "end": 2081.77, "word": " VK", "probability": 0.7646484375}, {"start": 2081.77, "end": 2082.85, "word": "-1", "probability": 0.870849609375}, {"start": 2082.85, "end": 2083.61, "word": " زاد", "probability": 0.91015625}, {"start": 2083.61, "end": 2084.43, "word": " CK", "probability": 0.933837890625}, {"start": 2084.43, "end": 2084.95, "word": " plus", "probability": 0.0055084228515625}, {"start": 2084.95, "end": 2085.39, "word": " 1", "probability": 0.58544921875}, {"start": 2085.39, "end": 2085.91, "word": " في", "probability": 0.98583984375}, {"start": 2085.91, "end": 2086.85, "word": " VK", "probability": 0.9833984375}, {"start": 2086.85, "end": 2087.49, "word": " plus", "probability": 0.87353515625}, {"start": 2087.49, "end": 2088.01, "word": " 1", "probability": 0.9267578125}, {"start": 2088.01, "end": 2089.11, "word": " زاد", "probability": 0.958251953125}, {"start": 2089.11, "end": 2090.27, "word": " زاد", "probability": 0.915771484375}, {"start": 2090.27, "end": 2093.59, "word": " CMVM", "probability": 0.939453125}], "temperature": 1.0}, {"id": 87, "seek": 211728, "start": 2098.08, "end": 2117.28, "text": "السؤال هو هل أنا حطيت قيود على السيهات هذه؟ قولت أسفار ولا غير أسفار؟ أبدا، linear cum أسفار ولا غير أسفار؟ بهلنير، إنما دول scholars موجودات في أرض وحققوا لمين المعادلة اللي عندنا، طب شو رأيكوا أعملها معادلة سفرية بنفع؟", "tokens": [6027, 3794, 33604, 6027, 31439, 8032, 1211, 41850, 11331, 9566, 36081, 12174, 1829, 23328, 15844, 21136, 1829, 11296, 2655, 29538, 22807, 12174, 12610, 2655, 5551, 3794, 5172, 9640, 49429, 32771, 13546, 5551, 3794, 5172, 9640, 22807, 5551, 3555, 28259, 12399, 8213, 12713, 5551, 3794, 5172, 9640, 49429, 32771, 13546, 5551, 3794, 5172, 9640, 22807, 39627, 1211, 1863, 13546, 12399, 36145, 15042, 11778, 12610, 8553, 3714, 29245, 23328, 9307, 8978, 5551, 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" غير", "probability": 0.996826171875}, {"start": 2108.06, "end": 2108.54, "word": " أسفار؟", "probability": 0.87314453125}, {"start": 2108.54, "end": 2109.44, "word": " بهلنير،", "probability": 0.50009765625}, {"start": 2109.44, "end": 2109.8, "word": " إنما", "probability": 0.408203125}, {"start": 2109.8, "end": 2110.04, "word": " دول", "probability": 0.84716796875}, {"start": 2110.04, "end": 2110.6, "word": " scholars", "probability": 0.90673828125}, {"start": 2110.6, "end": 2111.2, "word": " موجودات", "probability": 0.9736328125}, {"start": 2111.2, "end": 2111.36, "word": " في", "probability": 0.9873046875}, {"start": 2111.36, "end": 2111.52, "word": " أرض", "probability": 0.81884765625}, {"start": 2111.52, "end": 2112.16, "word": " وحققوا", "probability": 0.8837890625}, {"start": 2112.16, "end": 2112.62, "word": " لمين", "probability": 0.837158203125}, {"start": 2112.62, "end": 2113.7, "word": " المعادلة", "probability": 0.914306640625}, {"start": 2113.7, "end": 2114.1, "word": " 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2194.07, "end": 2206.01, "text": "بالتالي CK-1 يبقى هناك إذا أصلا كانت نقطة او زيرو لأن هذا such that", "tokens": [3555, 6027, 2655, 6027, 1829, 383, 42, 12, 16, 7251, 3555, 4587, 7578, 34105, 4117, 11933, 15730, 5551, 9381, 15040, 25961, 2655, 8717, 47432, 3660, 1975, 2407, 30767, 13546, 2407, 5296, 33456, 23758, 1270, 300], "avg_logprob": -0.8398437334431542, "compression_ratio": 1.09, "no_speech_prob": 0.0, "words": [{"start": 2194.0699999999997, "end": 2195.43, "word": "بالتالي", "probability": 0.5909423828125}, {"start": 2195.43, "end": 2196.79, "word": " CK", "probability": 0.29620361328125}, {"start": 2196.79, "end": 2198.73, "word": "-1", "probability": 0.4355430603027344}, {"start": 2198.73, "end": 2199.83, "word": " يبقى", "probability": 0.75885009765625}, {"start": 2199.83, "end": 2200.11, "word": " هناك", "probability": 0.455322265625}, {"start": 2200.11, "end": 2200.25, "word": " إذا", "probability": 0.50469970703125}, {"start": 2200.25, "end": 2200.83, "word": " أصلا", 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"text": "حطينا إيش؟ مش خلّينا واحد في ناحية و الباقي في ناحية تانية كنا نجلناهم يعني بلغة لبتدائي أضافنا المعكوس الجامعي لكل من ال vectors إلى الطرفين، تمام؟ وعلى السريع بقولنا نجلناهم علشان جتنا بتجي بشرقة مخالفة، مش هيك؟ في كمان تسأل؟ طيب، بدأ أسأل السؤال اللي يتتلي أنا", "tokens": [5016, 9566, 1829, 8315, 11933, 1829, 8592, 22807, 37893, 16490, 1211, 11703, 1829, 8315, 36764, 24401, 8978, 8717, 39319, 10632, 4032, 29739, 995, 38436, 8978, 8717, 39319, 10632, 6055, 7649, 10632, 9122, 8315, 8717, 7435, 1211, 8315, 16095, 37495, 22653, 4724, 1211, 17082, 3660, 5296, 3555, 2655, 3215, 16373, 1829, 5551, 11242, 31845, 8315, 9673, 3615, 4117, 41779, 25724, 10943, 3615, 1829, 5296, 28820, 9154, 2423, 18875, 30731, 41950, 28480, 9957, 12399, 46811, 10943, 22807, 4032, 3615, 23942, 21136, 16572, 3615, 4724, 39648, 8315, 8717, 7435, 1211, 8315, 16095, 11203, 8592, 7649, 10874, 2655, 8315, 39894, 7435, 1829, 4724, 46309, 28671, 3714, 9778, 6027, 5172, 3660, 12399, 37893, 39896, 4117, 22807, 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{"start": 2455.39, "end": 2457.29, "word": " CV2", "probability": 0.708251953125}, {"start": 2457.29, "end": 2458.25, "word": " والـ", "probability": 0.529541015625}, {"start": 2458.25, "end": 2458.43, "word": " C", "probability": 0.46875}, {"start": 2458.43, "end": 2458.83, "word": " هذه", "probability": 0.3505859375}, {"start": 2458.83, "end": 2459.47, "word": " موجودة", "probability": 0.974609375}, {"start": 2459.47, "end": 2459.59, "word": " في", "probability": 0.94580078125}, {"start": 2459.59, "end": 2460.03, "word": " set", "probability": 0.26513671875}, {"start": 2460.03, "end": 2460.33, "word": " of", "probability": 0.931640625}, {"start": 2460.33, "end": 2460.65, "word": " real", "probability": 0.96826171875}, {"start": 2460.65, "end": 2461.17, "word": " numbers", "probability": 0.72265625}, {"start": 2461.17, "end": 2462.15, "word": " طبعا", "probability": 0.9356689453125}, {"start": 2462.15, "end": 2463.05, "word": " ليش؟", "probability": 0.7058919270833334}, {"start": 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"end": 2473.81, "word": " عارف", "probability": 0.9930013020833334}, {"start": 2473.81, "end": 2474.25, "word": " منه", "probability": 0.70458984375}, {"start": 2474.25, "end": 2474.59, "word": " قد", "probability": 0.945556640625}, {"start": 2474.59, "end": 2474.87, "word": " يكون", "probability": 0.980712890625}, {"start": 2474.87, "end": 2475.15, "word": " zero", "probability": 0.77880859375}, {"start": 2475.15, "end": 2475.33, "word": " و", "probability": 0.80419921875}, {"start": 2475.33, "end": 2475.51, "word": " قد", "probability": 0.799560546875}, {"start": 2475.51, "end": 2475.63, "word": " لا", "probability": 0.9296875}, {"start": 2475.63, "end": 2475.89, "word": " يكون", "probability": 0.96337890625}, {"start": 2475.89, "end": 2476.27, "word": " zero", "probability": 0.8544921875}, {"start": 2476.27, "end": 2476.83, "word": " بس", "probability": 0.966796875}, {"start": 2476.83, "end": 2477.35, "word": " معامل", "probability": 0.9710286458333334}, {"start": 2477.35, "end": 2477.55, "word": " ال", "probability": 0.8359375}, {"start": 2477.55, "end": 2477.71, "word": " V", "probability": 0.77783203125}, {"start": 2477.71, "end": 2477.95, "word": " هو", "probability": 0.962890625}, {"start": 2477.95, "end": 2478.49, "word": " جداش", "probability": 0.648193359375}, {"start": 2478.49, "end": 2479.21, "word": " واحد", "probability": 0.9658203125}, {"start": 2479.21, "end": 2479.67, "word": " صحيح", "probability": 0.9449462890625}, {"start": 2479.67, "end": 2480.27, "word": " وبالتالي", "probability": 0.89326171875}, {"start": 2480.27, "end": 2480.57, "word": " enough", "probability": 0.247314453125}, {"start": 2480.57, "end": 2480.85, "word": " all", "probability": 0.6083984375}, {"start": 2480.85, "end": 2481.23, "word": " zero", "probability": 0.767578125}], "temperature": 1.0}, {"id": 102, "seek": 249692, "start": 2481.53, "end": 2496.93, "text": "يبقى هدول linearly dependent نعطي مثال examples example one لان بيقول little v determine whether the vectors", "tokens": [1829, 3555, 4587, 7578, 8032, 3215, 12610, 43586, 12334, 8717, 3615, 9566, 1829, 50113, 6027, 5110, 1365, 472, 5296, 7649, 4724, 1829, 39648, 707, 371, 6997, 1968, 264, 18875], "avg_logprob": -0.4643229087193807, "compression_ratio": 1.1478260869565218, "no_speech_prob": 0.0, "words": [{"start": 2481.53, "end": 2481.87, "word": "يبقى", "probability": 0.70916748046875}, {"start": 2481.87, "end": 2482.23, "word": " هدول", "probability": 0.558349609375}, {"start": 2482.23, "end": 2482.81, "word": " linearly", "probability": 0.59521484375}, {"start": 2482.81, "end": 2484.35, "word": " dependent", "probability": 0.87939453125}, {"start": 2484.35, "end": 2485.47, "word": " نعطي", "probability": 0.9080810546875}, {"start": 2485.47, "end": 2486.09, "word": " مثال", "probability": 0.975830078125}, {"start": 2486.09, "end": 2487.05, "word": " examples", "probability": 0.193115234375}, {"start": 2487.05, "end": 2488.91, "word": " example", "probability": 0.331298828125}, {"start": 2488.91, "end": 2489.59, "word": " one", "probability": 0.658203125}, {"start": 2489.59, "end": 2490.31, "word": " لان", "probability": 0.3380126953125}, {"start": 2490.31, "end": 2493.15, "word": " بيقول", "probability": 0.68359375}, {"start": 2493.15, "end": 2493.49, "word": " little", "probability": 0.5771484375}, {"start": 2493.49, "end": 2493.75, "word": " v", "probability": 0.87158203125}, {"start": 2493.75, "end": 2495.57, "word": " determine", "probability": 0.53125}, {"start": 2495.57, "end": 2496.01, "word": " whether", "probability": 0.77587890625}, {"start": 2496.01, "end": 2496.31, "word": " the", "probability": 0.884765625}, {"start": 2496.31, "end": 2496.93, "word": " vectors", "probability": 0.93896484375}], "temperature": 1.0}, {"id": 103, "seek": 253636, "start": 2510.76, "end": 2536.36, "text": "these are the vectors اللي هو V1 بده يساوي اتنين سالب واحد و Zero واحد and V2 بده يساوي V2 بده يساوي ستة وناقص تلاتة و Zero تلاتة are", "tokens": [42678, 366, 264, 18875, 13672, 1829, 31439, 691, 16, 47525, 3224, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8608, 6027, 3555, 36764, 24401, 4032, 17182, 36764, 24401, 293, 691, 17, 47525, 3224, 7251, 3794, 995, 45865, 691, 17, 47525, 3224, 7251, 3794, 995, 45865, 8608, 2655, 3660, 4032, 8315, 4587, 9381, 6055, 1211, 9307, 3660, 4032, 17182, 6055, 1211, 9307, 3660, 366], "avg_logprob": -0.2507324335165322, "compression_ratio": 1.5267175572519085, "no_speech_prob": 0.0, "words": [{"start": 2510.76, "end": 2511.1, "word": "these", "probability": 0.039306640625}, {"start": 2511.1, "end": 2511.3, "word": " are", "probability": 0.919921875}, {"start": 2511.3, "end": 2511.56, "word": " the", "probability": 0.705078125}, {"start": 2511.56, "end": 2512.14, "word": " vectors", "probability": 0.94287109375}, {"start": 2512.14, "end": 2513.36, "word": " اللي", "probability": 0.546142578125}, {"start": 2513.36, "end": 2513.62, "word": " هو", "probability": 0.93798828125}, {"start": 2513.62, "end": 2514.54, "word": " V1", "probability": 0.651611328125}, {"start": 2514.54, "end": 2515.34, "word": " بده", "probability": 0.468841552734375}, {"start": 2515.34, "end": 2516.0, "word": " يساوي", "probability": 0.959716796875}, {"start": 2516.0, "end": 2517.36, "word": " اتنين", "probability": 0.84967041015625}, {"start": 2517.36, "end": 2518.26, "word": " سالب", "probability": 0.8141276041666666}, {"start": 2518.26, "end": 2518.78, "word": " واحد", "probability": 0.985107421875}, {"start": 2518.78, "end": 2519.42, "word": " و", "probability": 0.78759765625}, {"start": 2519.42, "end": 2519.78, "word": " Zero", "probability": 0.460205078125}, {"start": 2519.78, "end": 2520.66, "word": " واحد", "probability": 0.93115234375}, {"start": 2520.66, "end": 2522.14, "word": " and", "probability": 0.734375}, {"start": 2522.14, "end": 2524.16, "word": " V2", "probability": 0.96044921875}, {"start": 2524.16, "end": 2525.24, "word": " بده", "probability": 0.955322265625}, {"start": 2525.24, "end": 2526.06, "word": " يساوي", "probability": 0.9820556640625}, {"start": 2526.06, "end": 2528.18, "word": " V2", "probability": 0.796630859375}, {"start": 2528.18, "end": 2529.34, "word": " بده", "probability": 0.959716796875}, {"start": 2529.34, "end": 2529.92, "word": " يساوي", "probability": 0.98828125}, {"start": 2529.92, "end": 2530.96, "word": " ستة", "probability": 0.96875}, {"start": 2530.96, "end": 2532.44, "word": " وناقص", "probability": 0.81085205078125}, {"start": 2532.44, "end": 2533.24, "word": " تلاتة", "probability": 0.8902587890625}, {"start": 2533.24, "end": 2533.6, "word": " و", "probability": 0.93896484375}, {"start": 2533.6, "end": 2534.1, "word": " Zero", "probability": 0.91259765625}, {"start": 2534.1, "end": 2535.34, "word": " تلاتة", "probability": 0.9459228515625}, {"start": 2535.34, "end": 2536.36, "word": " are", "probability": 0.358642578125}], "temperature": 1.0}, {"id": 104, "seek": 256223, "start": 2536.9, "end": 2562.24, "text": "Linearly dependent or linearly independent solution يبقى بنرجع لسؤال هذا مرة ثانية و بنقول determine whether the two vectors هدول are linearly dependent ولا linearly independent لو روحت دقيقة النظر في ال two vectors يا مانت إيش بتلاحظني؟", "tokens": [43, 533, 289, 356, 12334, 420, 43586, 6695, 3827, 7251, 3555, 4587, 7578, 44945, 47341, 3615, 5296, 3794, 33604, 6027, 23758, 3714, 25720, 38637, 7649, 10632, 4032, 44945, 39648, 6997, 1968, 264, 732, 18875, 8032, 3215, 12610, 366, 43586, 12334, 49429, 43586, 6695, 45164, 12602, 2407, 33753, 11778, 38436, 28671, 28239, 19913, 2288, 8978, 2423, 732, 18875, 35186, 3714, 7649, 2655, 11933, 1829, 8592, 39894, 15040, 5016, 19913, 22653, 22807], "avg_logprob": -0.2874119684729778, "compression_ratio": 1.565, "no_speech_prob": 0.0, "words": [{"start": 2536.9, "end": 2538.04, "word": "Linearly", "probability": 0.71502685546875}, {"start": 2538.04, "end": 2538.7, "word": " dependent", "probability": 0.3984375}, {"start": 2538.7, "end": 2539.66, "word": " or", "probability": 0.798828125}, {"start": 2539.66, "end": 2540.46, "word": " linearly", "probability": 0.8779296875}, {"start": 2540.46, "end": 2541.76, "word": " independent", "probability": 0.94189453125}, {"start": 2541.76, "end": 2543.46, "word": " solution", "probability": 0.10394287109375}, {"start": 2543.46, "end": 2547.44, "word": " يبقى", "probability": 0.83319091796875}, {"start": 2547.44, "end": 2548.06, "word": " بنرجع", "probability": 0.80419921875}, {"start": 2548.06, "end": 2548.64, "word": " لسؤال", "probability": 0.80426025390625}, {"start": 2548.64, "end": 2548.96, "word": " هذا", "probability": 0.74365234375}, {"start": 2548.96, "end": 2549.36, "word": " مرة", "probability": 0.888671875}, {"start": 2549.36, "end": 2550.08, "word": " ثانية", "probability": 0.9267578125}, {"start": 2550.08, "end": 2550.66, "word": " و", "probability": 0.517578125}, {"start": 2550.66, "end": 2551.02, "word": " بنقول", "probability": 0.81591796875}, {"start": 2551.02, "end": 2551.52, "word": " determine", 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