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"probability": 0.90771484375}], "temperature": 1.0}, {"id": 8, "seek": 24427, "start": 215.75, "end": 244.27, "text": "and f of b are real numbers نظرا لأنهم أعداد حقيقية فهي composite فهي community يعني f of a في f of b هي f of b في main في f of a وبالتالي مافيها مشكلة خالص طيب بدنا نروح الآن على ring غير هذه ال rings وهو مثال رقم 6", "tokens": [474, 283, 295, 272, 366, 957, 3547, 8717, 19913, 23557, 5296, 33456, 16095, 5551, 22488, 18513, 11331, 38436, 4587, 10632, 6156, 3224, 1829, 25557, 6156, 3224, 1829, 1768, 37495, 22653, 283, 295, 257, 8978, 283, 295, 272, 39896, 283, 295, 272, 8978, 2135, 8978, 283, 295, 257, 46599, 6027, 2655, 6027, 1829, 19446, 41185, 11296, 37893, 28820, 3660, 16490, 6027, 9381, 23032, 1829, 3555, 47525, 8315, 8717, 32887, 5016, 6024, 48506, 15844, 4875, 32771, 13546, 29538, 2423, 11136, 37037, 2407, 50113, 6027, 12602, 4587, 2304, 1386], "avg_logprob": -0.23078304186634635, "compression_ratio": 1.4626168224299065, "no_speech_prob": 0.0, "words": [{"start": 215.75, "end": 216.63, "word": "and", "probability": 0.34716796875}, {"start": 216.63, "end": 218.01, "word": " f", "probability": 0.323486328125}, {"start": 218.01, "end": 218.65, "word": " of", "probability": 0.6259765625}, {"start": 218.65, "end": 219.05, "word": " b", "probability": 0.599609375}, {"start": 219.05, "end": 220.33, "word": " are", "probability": 0.9091796875}, {"start": 220.33, "end": 221.61, "word": " real", "probability": 0.93896484375}, {"start": 221.61, "end": 224.35, "word": " numbers", "probability": 0.74853515625}, {"start": 224.35, "end": 225.41, "word": " نظرا", "probability": 0.8541666666666666}, {"start": 225.41, "end": 225.89, "word": " لأنهم", "probability": 0.59423828125}, {"start": 225.89, "end": 226.37, "word": " أعداد", "probability": 0.86865234375}, {"start": 226.37, "end": 227.15, "word": " حقيقية", "probability": 0.986328125}, {"start": 227.15, "end": 227.57, "word": " فهي", "probability": 0.9544270833333334}, {"start": 227.57, "end": 228.11, "word": " composite", "probability": 0.1593017578125}, {"start": 228.11, "end": 228.97, "word": " فهي", "probability": 0.9029947916666666}, {"start": 228.97, "end": 229.41, "word": " community", "probability": 0.1334228515625}, {"start": 229.41, "end": 229.69, "word": " يعني", "probability": 0.72314453125}, {"start": 229.69, "end": 229.95, "word": " f", "probability": 0.78271484375}, {"start": 229.95, "end": 230.23, "word": " of", "probability": 0.9658203125}, {"start": 230.23, "end": 230.53, "word": " a", "probability": 0.7294921875}, {"start": 230.53, "end": 230.67, "word": " في", "probability": 0.83984375}, {"start": 230.67, "end": 230.97, "word": " f", "probability": 0.966796875}, {"start": 230.97, "end": 231.27, "word": " of", "probability": 0.98095703125}, {"start": 231.27, "end": 231.55, "word": " b", "probability": 0.97705078125}, {"start": 231.55, "end": 232.09, "word": " هي", "probability": 0.66162109375}, {"start": 232.09, "end": 232.37, "word": " f", "probability": 0.8994140625}, {"start": 232.37, "end": 232.65, "word": " of", "probability": 0.9775390625}, {"start": 232.65, "end": 232.89, "word": " b", "probability": 0.96044921875}, {"start": 232.89, "end": 233.09, "word": " في", "probability": 0.947265625}, {"start": 233.09, "end": 233.43, "word": " main", "probability": 0.21923828125}, {"start": 233.43, "end": 233.89, "word": " في", "probability": 0.95751953125}, {"start": 233.89, "end": 234.25, "word": " f", "probability": 0.9267578125}, {"start": 234.25, "end": 234.53, "word": " of", "probability": 0.9765625}, {"start": 234.53, "end": 234.83, "word": " a", "probability": 0.970703125}, {"start": 234.83, "end": 235.47, "word": " وبالتالي", "probability": 0.9232421875}, {"start": 235.47, "end": 236.01, "word": " مافيها", "probability": 0.85595703125}, {"start": 236.01, "end": 236.79, "word": " مشكلة", "probability": 0.98876953125}, {"start": 236.79, "end": 237.25, "word": " خالص", "probability": 0.9586588541666666}, {"start": 237.25, "end": 238.15, "word": " طيب", "probability": 0.9677734375}, {"start": 238.15, "end": 238.41, "word": " بدنا", "probability": 0.612060546875}, {"start": 238.41, "end": 238.67, "word": " نروح", "probability": 0.9921875}, {"start": 238.67, "end": 239.05, "word": " الآن", "probability": 0.7076416015625}, {"start": 239.05, "end": 239.41, "word": " على", "probability": 0.75390625}, {"start": 239.41, "end": 239.87, "word": " ring", "probability": 0.65625}, {"start": 239.87, "end": 240.39, "word": " غير", "probability": 0.97998046875}, {"start": 240.39, "end": 241.03, "word": " هذه", "probability": 0.92919921875}, {"start": 241.03, "end": 241.53, "word": " ال", "probability": 0.94677734375}, {"start": 241.53, "end": 241.87, "word": " rings", "probability": 0.7841796875}, {"start": 241.87, "end": 242.35, "word": " وهو", "probability": 0.863525390625}, {"start": 242.35, "end": 242.93, "word": " مثال", "probability": 0.7349853515625}, {"start": 242.93, "end": 243.67, "word": " رقم", "probability": 0.97265625}, {"start": 243.67, "end": 244.27, "word": " 6", "probability": 0.8251953125}], "temperature": 1.0}, {"id": 9, "seek": 26550, "start": 245.04, "end": 265.5, "text": "مثال رقم ستة بيقول لل R1 وR2 و لغاية ال RN بي رينز بي رينز هذه عبارة عن حلقات we shall construct", "tokens": [2304, 12984, 6027, 12602, 4587, 2304, 8608, 2655, 3660, 4724, 1829, 39648, 24976, 497, 16, 4032, 49, 17, 4032, 5296, 17082, 995, 10632, 2423, 45702, 4724, 1829, 12602, 9957, 11622, 4724, 1829, 12602, 9957, 11622, 29538, 6225, 3555, 9640, 3660, 18871, 11331, 1211, 4587, 9307, 321, 4393, 7690], "avg_logprob": -0.2554209183673469, "compression_ratio": 1.2016129032258065, "no_speech_prob": 0.0, "words": [{"start": 245.04, "end": 245.66, "word": "مثال", "probability": 0.97216796875}, {"start": 245.66, "end": 246.24, "word": " رقم", "probability": 0.9602864583333334}, {"start": 246.24, "end": 246.88, "word": " ستة", "probability": 0.6414388020833334}, {"start": 246.88, "end": 247.28, "word": " بيقول", "probability": 0.9724934895833334}, {"start": 247.28, "end": 247.64, "word": " لل", "probability": 0.270263671875}, {"start": 247.64, "end": 249.98, "word": " R1", "probability": 0.4366455078125}, {"start": 249.98, "end": 251.96, "word": " وR2", "probability": 0.8308919270833334}, {"start": 251.96, "end": 252.54, "word": " و", "probability": 0.8330078125}, {"start": 252.54, "end": 253.3, "word": " لغاية", "probability": 0.88720703125}, {"start": 253.3, "end": 253.64, "word": " ال", "probability": 0.86669921875}, {"start": 253.64, "end": 254.64, "word": " RN", "probability": 0.6416015625}, {"start": 254.64, "end": 256.14, "word": " بي", "probability": 0.50140380859375}, {"start": 256.14, "end": 256.88, "word": " رينز", "probability": 0.640625}, {"start": 256.88, "end": 258.28, "word": " بي", "probability": 0.841796875}, {"start": 258.28, "end": 259.46, "word": " رينز", "probability": 0.9949544270833334}, {"start": 259.46, "end": 260.44, "word": " هذه", "probability": 0.67333984375}, {"start": 260.44, "end": 261.12, "word": " عبارة", "probability": 0.9949951171875}, {"start": 261.12, "end": 261.48, "word": " عن", "probability": 0.994140625}, {"start": 261.48, "end": 262.74, "word": " حلقات", "probability": 0.968994140625}, {"start": 262.74, "end": 264.2, "word": " we", "probability": 0.456787109375}, {"start": 264.2, "end": 264.58, "word": " shall", "probability": 0.94287109375}, {"start": 264.58, "end": 265.5, "word": " construct", "probability": 0.97119140625}], "temperature": 1.0}, {"id": 10, "seek": 30267, "start": 273.61, "end": 302.67, "text": "we shall construct a new ring a a new ring بدنا نكوّن من هذه ال rings رينج جديدة as follow كالتالي كيف نجم نقول بدي أخد ال R واحد direct sum مع R اتنين", "tokens": [826, 4393, 7690, 257, 777, 4875, 257, 257, 777, 4875, 47525, 8315, 8717, 4117, 2407, 11703, 1863, 9154, 29538, 2423, 11136, 12602, 9957, 7435, 10874, 16254, 41891, 382, 1524, 9122, 6027, 2655, 6027, 1829, 9122, 33911, 8717, 7435, 2304, 8717, 39648, 4724, 16254, 5551, 9778, 3215, 2423, 497, 36764, 24401, 2047, 2408, 20449, 497, 1975, 2655, 1863, 9957], "avg_logprob": -0.33739406476586553, "compression_ratio": 1.3167701863354038, "no_speech_prob": 0.0, "words": [{"start": 273.61, "end": 273.95, "word": "we", "probability": 0.038421630859375}, {"start": 273.95, "end": 274.29, "word": " shall", "probability": 0.9189453125}, {"start": 274.29, "end": 275.07, "word": " construct", "probability": 0.97021484375}, {"start": 275.07, "end": 275.85, "word": " a", "probability": 0.95458984375}, {"start": 275.85, "end": 276.11, "word": " new", "probability": 0.9208984375}, {"start": 276.11, "end": 276.63, "word": " ring", "probability": 0.9658203125}, {"start": 276.63, "end": 277.55, "word": " a", "probability": 0.292724609375}, {"start": 277.55, "end": 279.59, "word": " a", "probability": 0.329833984375}, {"start": 279.59, "end": 280.03, "word": " new", "probability": 0.93701171875}, {"start": 280.03, "end": 281.77, "word": " ring", "probability": 0.966796875}, {"start": 281.77, "end": 284.59, "word": " بدنا", "probability": 0.79150390625}, {"start": 284.59, "end": 285.31, "word": " نكوّن", "probability": 0.75751953125}, {"start": 285.31, "end": 285.69, "word": " من", "probability": 0.98779296875}, {"start": 285.69, "end": 286.13, "word": " هذه", "probability": 0.92822265625}, {"start": 286.13, "end": 286.33, "word": " ال", "probability": 0.9619140625}, {"start": 286.33, "end": 286.73, "word": " rings", "probability": 0.75}, {"start": 286.73, "end": 287.73, "word": " رينج", "probability": 0.441162109375}, {"start": 287.73, "end": 288.49, "word": " جديدة", "probability": 0.8623046875}, {"start": 288.49, "end": 289.47, "word": " as", "probability": 0.9130859375}, {"start": 289.47, "end": 290.45, "word": " follow", "probability": 0.479248046875}, {"start": 290.45, "end": 292.35, "word": " كالتالي", "probability": 0.90390625}, {"start": 292.35, "end": 293.83, "word": " كيف", "probability": 0.90966796875}, {"start": 293.83, "end": 295.33, "word": " نجم", "probability": 0.4903971354166667}, {"start": 295.33, "end": 296.01, "word": " نقول", "probability": 0.84326171875}, {"start": 296.01, "end": 296.51, "word": " بدي", "probability": 0.6712646484375}, {"start": 296.51, "end": 297.25, "word": " أخد", "probability": 0.75439453125}, {"start": 297.25, "end": 297.99, "word": " ال", "probability": 0.93603515625}, {"start": 297.99, "end": 298.37, "word": " R", "probability": 0.51953125}, {"start": 298.37, "end": 299.19, "word": " واحد", "probability": 0.865478515625}, {"start": 299.19, "end": 300.27, "word": " direct", "probability": 0.63330078125}, {"start": 300.27, "end": 300.91, "word": " sum", "probability": 0.953125}, {"start": 300.91, "end": 301.53, "word": " مع", "probability": 0.947265625}, {"start": 301.53, "end": 302.01, "word": " R", "probability": 0.77978515625}, {"start": 302.01, "end": 302.67, "word": " اتنين", "probability": 0.8846435546875}], "temperature": 1.0}, {"id": 11, "seek": 33198, "start": 303.02, "end": 331.98, "text": "direct sum direct sum مع R N تمام من علاصر هذه كل العلاصر على الشكل A1 و A2 و A N بحيث ال AI موجودة في ال R I بالشكل اللي عندنا هذا and peer form", "tokens": [44868, 2408, 2047, 2408, 20449, 497, 426, 46811, 10943, 9154, 11203, 33546, 2288, 29538, 28242, 18863, 15040, 9381, 2288, 15844, 25124, 28820, 316, 16, 4032, 316, 17, 4032, 316, 426, 4724, 5016, 1829, 12984, 2423, 7318, 3714, 29245, 23328, 3660, 8978, 2423, 497, 286, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 293, 15108, 1254], "avg_logprob": -0.3948102572134563, "compression_ratio": 1.3986928104575163, "no_speech_prob": 0.0, "words": [{"start": 303.02, "end": 303.7, "word": "direct", "probability": 0.6103515625}, {"start": 303.7, "end": 304.32, "word": " sum", "probability": 0.8916015625}, {"start": 304.32, "end": 305.16, "word": " direct", "probability": 0.205322265625}, {"start": 305.16, "end": 306.26, "word": " sum", "probability": 0.90234375}, {"start": 306.26, "end": 306.86, "word": " مع", "probability": 0.3203125}, {"start": 306.86, "end": 308.02, "word": " R", "probability": 0.13232421875}, {"start": 308.02, "end": 308.82, "word": " N", "probability": 0.2181396484375}, {"start": 308.82, "end": 310.62, "word": " تمام", "probability": 0.773681640625}, {"start": 310.62, "end": 311.48, "word": " من", "probability": 0.2724609375}, {"start": 311.48, "end": 312.34, "word": " علاصر", "probability": 0.6649576822916666}, {"start": 312.34, "end": 313.04, "word": " هذه", "probability": 0.65673828125}, {"start": 313.04, "end": 313.86, "word": " كل", "probability": 0.640625}, {"start": 313.86, "end": 314.62, "word": " العلاصر", "probability": 0.7999267578125}, {"start": 314.62, "end": 314.8, "word": " على", "probability": 0.447509765625}, {"start": 314.8, "end": 315.16, "word": " الشكل", "probability": 0.805419921875}, {"start": 315.16, "end": 316.08, "word": " A1", "probability": 0.54443359375}, {"start": 316.08, "end": 316.86, "word": " و", "probability": 0.76708984375}, {"start": 316.86, "end": 317.92, "word": " A2", "probability": 0.791015625}, {"start": 317.92, "end": 318.58, "word": " و", "probability": 0.98095703125}, {"start": 318.58, "end": 319.02, "word": " A", "probability": 0.75048828125}, {"start": 319.02, "end": 319.54, "word": " N", "probability": 0.73291015625}, {"start": 319.54, "end": 320.68, "word": " بحيث", "probability": 0.9649658203125}, {"start": 320.68, "end": 321.04, "word": " ال", "probability": 0.876953125}, {"start": 321.04, "end": 322.06, "word": " AI", "probability": 0.63720703125}, {"start": 322.06, "end": 323.88, "word": " موجودة", "probability": 0.985107421875}, {"start": 323.88, "end": 324.12, "word": " في", "probability": 0.93701171875}, {"start": 324.12, "end": 324.42, "word": " ال", "probability": 0.85302734375}, {"start": 324.42, "end": 325.28, "word": " R", "probability": 0.435546875}, {"start": 325.28, "end": 325.82, "word": " I", "probability": 0.95068359375}, {"start": 325.82, "end": 327.06, "word": " بالشكل", "probability": 0.8971354166666666}, {"start": 327.06, "end": 327.22, "word": " اللي", "probability": 0.9580078125}, {"start": 327.22, "end": 327.48, "word": " عندنا", "probability": 0.836181640625}, {"start": 327.48, "end": 327.7, "word": " هذا", "probability": 0.42578125}, {"start": 327.7, "end": 328.58, "word": " and", "probability": 0.73388671875}, {"start": 328.58, "end": 331.3, "word": " peer", "probability": 0.2073974609375}, {"start": 331.3, "end": 331.98, "word": " form", "probability": 0.53173828125}], "temperature": 1.0}, {"id": 12, "seek": 36228, "start": 332.86, "end": 362.28, "text": "وبنكون pair for and pair for addition and multiplication الجمع وعملية الدرب component wise", "tokens": [37746, 1863, 30544, 6119, 337, 293, 6119, 337, 4500, 293, 27290, 25724, 2304, 3615, 4032, 25957, 1211, 10632, 32748, 25513, 6542, 10829], "avg_logprob": -0.34425949791203375, "compression_ratio": 1.1428571428571428, "no_speech_prob": 0.0, "words": [{"start": 332.86, "end": 334.02, "word": "وبنكون", "probability": 0.461181640625}, {"start": 334.02, "end": 335.84, "word": " pair", "probability": 0.7099609375}, {"start": 335.84, "end": 336.9, "word": " for", "probability": 0.475341796875}, {"start": 336.9, "end": 340.78, "word": " and", "probability": 0.324462890625}, {"start": 340.78, "end": 341.2, "word": " pair", "probability": 0.71923828125}, {"start": 341.2, "end": 341.9, "word": " for", "probability": 0.97265625}, {"start": 341.9, "end": 343.98, "word": " addition", "probability": 0.71826171875}, {"start": 343.98, "end": 348.16, "word": " and", "probability": 0.80029296875}, {"start": 348.16, "end": 350.86, "word": " multiplication", "probability": 0.78466796875}, {"start": 350.86, "end": 358.84, "word": " الجمع", "probability": 0.9508463541666666}, {"start": 358.84, "end": 359.74, "word": " وعملية", "probability": 0.9647216796875}, {"start": 359.74, "end": 360.38, "word": " الدرب", "probability": 0.647216796875}, {"start": 360.38, "end": 361.36, "word": " 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النتيجة يساوي 100 M وبنفس الطريقة ال zero ضرب ال M برضه بدي يساوي 100 M Similarly ال zero ضرب ال M بدي يساوي M", "tokens": [1829, 3555, 4587, 7578, 6156, 3615, 15040, 2423, 4018, 31439, 2423, 18205, 5296, 33456, 5296, 15042, 48812, 25513, 8315, 8978, 376, 23032, 1211, 3615, 28239, 31371, 7435, 3660, 7251, 3794, 995, 45865, 2319, 376, 46599, 1863, 36178, 41950, 16572, 28671, 2423, 4018, 48812, 25513, 2423, 376, 4724, 43042, 3224, 4724, 16254, 7251, 3794, 995, 45865, 2319, 376, 13157, 2423, 4018, 48812, 25513, 2423, 376, 4724, 16254, 7251, 3794, 995, 45865, 376], "avg_logprob": -0.2259114616447025, "compression_ratio": 1.5987261146496816, "no_speech_prob": 0.0, "words": [{"start": 1069.3, "end": 1069.92, "word": "يبقى", "probability": 0.652557373046875}, {"start": 1069.92, "end": 1070.6, "word": " فعلا", "probability": 0.87548828125}, {"start": 1070.6, "end": 1071.1, "word": " ال", "probability": 0.6875}, {"start": 1071.1, "end": 1071.4, "word": " zero", "probability": 0.4140625}, 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الصفر تبع ال ring هذه؟ اه ليش مليش ما هوش لا؟ لا لأ انا قاعد واحد هو zero ليش؟", "tokens": [1829, 3555, 4587, 7578, 20666, 10721, 4587, 1211, 47356, 2423, 39184, 4018, 31439, 2423, 18205, 23032, 1829, 3555, 48812, 995, 26895, 25894, 8315, 2423, 4018, 4478, 264, 4018, 4478, 307, 472, 35186, 8608, 37440, 6225, 7435, 2407, 11622, 22807, 36764, 24401, 31439, 31767, 5172, 2288, 6055, 3555, 3615, 2423, 4875, 29538, 22807, 1975, 3224, 32239, 8592, 3714, 20292, 8592, 19446, 31439, 8592, 20193, 22807, 20193, 5296, 10721, 1975, 8315, 12174, 995, 22488, 36764, 24401, 31439, 4018, 32239, 8592, 22807], "avg_logprob": -0.30898437164723874, "compression_ratio": 1.6229508196721312, "no_speech_prob": 0.0, "words": [{"start": 1095.2, "end": 1095.68, "word": "يبقى", "probability": 0.7957763671875}, {"start": 1095.68, "end": 1096.24, "word": " بالأقل", "probability": 0.53314208984375}, {"start": 1096.24, "end": 1096.8, "word": " عليه", "probability": 0.91455078125}, {"start": 1096.8, "end": 1097.38, 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في ال b ساوي ناقص a في b", "tokens": [12984, 2304, 8717, 29973, 36764, 24401, 2423, 257, 8978, 2423, 4018, 8608, 995, 45865, 4018, 11778, 1829, 8608, 995, 45865, 4018, 8978, 257, 11778, 1829, 8608, 995, 45865, 4018, 8717, 29973, 1975, 2655, 1863, 9957, 2423, 257, 8717, 995, 4587, 9381, 272, 8608, 995, 45865, 8717, 995, 4587, 9381, 257, 8978, 2423, 272, 8608, 995, 45865, 8717, 995, 4587, 9381, 257, 8978, 272], "avg_logprob": -0.283691409509629, "compression_ratio": 2.020618556701031, "no_speech_prob": 0.0, "words": [{"start": 1246.6000000000001, "end": 1247.88, "word": "ثم", "probability": 0.5079345703125}, {"start": 1247.88, "end": 1249.16, "word": " نمر", "probability": 0.41741943359375}, {"start": 1249.16, "end": 1249.9, "word": " واحد", "probability": 0.766357421875}, {"start": 1249.9, "end": 1251.4, "word": " ال", "probability": 0.595703125}, {"start": 1251.4, "end": 1251.92, "word": " a", "probability": 0.324951171875}, {"start": 1251.92, "end": 1252.32, "word": " في", 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{"start": 1399.71, "end": 1400.33, "word": " يساوي", "probability": 0.9320068359375}, {"start": 1400.33, "end": 1400.69, "word": " zero", "probability": 0.59033203125}, {"start": 1400.69, "end": 1401.69, "word": " لذلك", "probability": 0.9537760416666666}, {"start": 1401.69, "end": 1401.95, "word": " لو", "probability": 0.95703125}, {"start": 1401.95, "end": 1402.25, "word": " جيت", "probability": 0.9609375}, {"start": 1402.25, "end": 1402.65, "word": " قلت", "probability": 0.7115885416666666}, {"start": 1402.65, "end": 1402.89, "word": " لك", "probability": 0.6171875}, {"start": 1402.89, "end": 1403.71, "word": " خديلي", "probability": 0.6533203125}, {"start": 1403.71, "end": 1404.39, "word": " a", "probability": 0.87255859375}, {"start": 1404.39, "end": 1404.81, "word": " في", "probability": 0.95068359375}, {"start": 1404.81, "end": 1405.19, "word": " zero", "probability": 0.8916015625}, {"start": 1405.19, "end": 1406.07, "word": " زائد", "probability": 0.8780924479166666}, {"start": 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.. و هنا ال ring وحيد طيب", "tokens": [3555, 1863, 7435, 1829, 5296, 1863, 19913, 2288, 10632, 38637, 7649, 10632, 11778, 11536, 1975, 12984, 3555, 9307, 11296, 1975, 1829, 8592, 28239, 19913, 2288, 10632, 16712, 7649, 10632, 22807, 6156, 995, 37983, 9957, 2423, 1594, 22807, 4032, 4724, 7435, 1829, 8315, 8717, 7435, 1829, 3555, 2423, 6575, 4478, 20328, 5016, 22807, 4032, 20449, 4117, 41779, 2423, 4478, 23032, 1829, 3555, 2423, 18205, 23758, 1975, 2407, 2423, 6575, 4478, 8978, 8032, 6027, 1594, 1975, 4117, 2655, 2288, 9154, 2423, 6575, 4478, 22807, 4032, 5016, 25708, 19446, 41185, 8592, 4386, 4032, 34105, 2423, 4875, 4032, 5016, 25708, 23032, 1829, 3555], "avg_logprob": -0.23015625178813934, "compression_ratio": 1.8622448979591837, "no_speech_prob": 0.0, "words": [{"start": 2067.51, "end": 2068.17, "word": "بنجي", "probability": 0.4952392578125}, {"start": 2068.17, "end": 2068.87, "word": " لنظرية", "probability": 0.88369140625}, {"start": 2068.87, "end": 2069.41, "word": " ثانية", 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فعلا أثبتنا هذا مع الدكتور محمد", "tokens": [2304, 3615, 4117, 41779, 18863, 1863, 9381, 2288, 12399, 4032, 5016, 25708, 12399, 11933, 15730, 25961, 2655, 4724, 7435, 1829, 8315, 8717, 12984, 3555, 2655, 16095, 8978, 25724, 26890, 36764, 24401, 12399, 4724, 7435, 1829, 8315, 44945, 12984, 3555, 2655, 16472, 18871, 16254, 732, 6575, 4959, 4032, 44945, 5016, 995, 12610, 8717, 30544, 1975, 2655, 1863, 9957, 366, 2681, 18871, 16254, 732, 21378, 279, 4032, 44945, 5016, 995, 12610, 8717, 12984, 3555, 2655, 16472, 1975, 2655, 1863, 9957, 366, 2681, 4032, 6156, 3615, 15040, 5551, 12984, 3555, 2655, 8315, 23758, 20449, 32748, 4117, 2655, 13063, 3714, 35571, 3215], "avg_logprob": -0.2133838398890062, "compression_ratio": 1.739795918367347, "no_speech_prob": 0.0, "words": [{"start": 2097.14, "end": 2098.14, "word": "معكوس", "probability": 0.7799072265625}, {"start": 2098.14, "end": 2099.3, "word": " العنصر،", "probability": 0.812353515625}, {"start": 2099.3, "end": 2100.98, "word": " وحيد،", 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a", "probability": 0.9462890625}, {"start": 2146.25, "end": 2147.01, "word": " ring", "probability": 0.97314453125}, {"start": 2147.01, "end": 2148.31, "word": " with", "probability": 0.93017578125}, {"start": 2148.31, "end": 2150.17, "word": " unity", "probability": 0.9638671875}], "temperature": 1.0}, {"id": 75, "seek": 218485, "start": 2157.55, "end": 2184.85, "text": "then the unity then the unity is unique يكون وحيدا هذا النقطة الأولى النقطة التانية if ايه if if they belong", "tokens": [19096, 264, 18205, 550, 264, 18205, 307, 3845, 7251, 30544, 4032, 5016, 25708, 995, 23758, 28239, 47432, 3660, 16247, 12610, 7578, 28239, 47432, 3660, 16712, 7649, 10632, 498, 1975, 1829, 3224, 498, 498, 436, 5784], "avg_logprob": -0.2517361069718997, "compression_ratio": 1.3214285714285714, "no_speech_prob": 0.0, "words": [{"start": 2157.55, "end": 2157.99, "word": "then", "probability": 0.546875}, {"start": 2157.99, "end": 2158.25, "word": " the", "probability": 0.8544921875}, {"start": 2158.25, "end": 2158.75, "word": " unity", "probability": 0.97314453125}, {"start": 2158.75, "end": 2160.15, "word": " then", "probability": 0.375}, {"start": 2160.15, "end": 2161.53, "word": " the", "probability": 0.853515625}, {"start": 2161.53, "end": 2163.11, "word": " unity", "probability": 0.98193359375}, {"start": 2163.11, "end": 2166.99, "word": " is", "probability": 0.95263671875}, {"start": 2166.99, "end": 2168.39, "word": " unique", "probability": 0.79248046875}, {"start": 2168.39, "end": 2170.57, "word": " يكون", "probability": 0.927490234375}, {"start": 2170.57, "end": 2171.47, "word": " وحيدا", "probability": 0.8377685546875}, {"start": 2171.47, "end": 2171.89, "word": " هذا", "probability": 0.39990234375}, {"start": 2171.89, "end": 2172.51, "word": " النقطة", "probability": 0.9637044270833334}, {"start": 2172.51, "end": 2173.35, "word": " الأولى", "probability": 0.9650065104166666}, {"start": 2173.35, "end": 2174.75, "word": " النقطة", "probability": 0.9669596354166666}, {"start": 2174.75, "end": 2176.31, "word": " التانية", "probability": 0.9718424479166666}, {"start": 2176.31, "end": 2178.27, "word": " if", "probability": 0.8681640625}, {"start": 2178.27, "end": 2179.05, "word": " ايه", "probability": 0.6114298502604166}, {"start": 2179.05, "end": 2181.29, "word": " if", "probability": 0.4814453125}, {"start": 2181.29, "end": 2183.03, "word": " if", "probability": 0.49609375}, {"start": 2183.03, "end": 2183.55, "word": " they", "probability": 0.64208984375}, {"start": 2183.55, "end": 2184.85, "word": " belong", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 76, "seek": 221369, "start": 2186.44, "end": 2213.7, "text": "to a ring A الموجود في R with multiplicative inverse with multiplicative inverse", "tokens": [1353, 257, 4875, 316, 9673, 29245, 23328, 8978, 497, 365, 17596, 1166, 17340, 365, 17596, 1166, 17340], "avg_logprob": -0.2814670254786809, "compression_ratio": 1.2535211267605635, "no_speech_prob": 0.0, "words": [{"start": 2186.44, "end": 2186.98, "word": "to", "probability": 0.47509765625}, {"start": 2186.98, "end": 2188.32, "word": " a", "probability": 0.845703125}, {"start": 2188.32, "end": 2189.06, "word": " ring", "probability": 0.96240234375}, {"start": 2189.06, "end": 2190.3, "word": " A", "probability": 0.406494140625}, {"start": 2190.3, "end": 2192.22, "word": " الموجود", "probability": 0.72802734375}, {"start": 2192.22, "end": 2192.44, "word": " في", "probability": 0.86376953125}, {"start": 2192.44, "end": 2192.86, "word": " R", "probability": 0.70166015625}, {"start": 2192.86, "end": 2194.3, "word": " with", "probability": 0.89794921875}, {"start": 2194.3, "end": 2200.72, "word": " multiplicative", "probability": 0.816162109375}, {"start": 2200.72, "end": 2203.7, "word": " inverse", "probability": 0.90478515625}, {"start": 2203.7, "end": 2210.64, "word": " with", "probability": 0.8681640625}, {"start": 2210.64, "end": 2212.62, "word": " multiplicative", "probability": 0.945556640625}, {"start": 2212.62, "end": 2213.7, "word": " inverse", "probability": 0.837890625}], "temperature": 1.0}, {"id": 77, "seek": 222394, "start": 2218.51, "end": 2223.95, "text": "ثم هذا انبسط", "tokens": [12984, 2304, 23758, 16472, 3555, 3794, 9566], "avg_logprob": -0.9140624552965164, "compression_ratio": 0.6666666666666666, "no_speech_prob": 0.0, "words": [{"start": 2218.5099999999998, "end": 2219.91, "word": "ثم", "probability": 0.6585693359375}, {"start": 2219.91, "end": 2221.31, "word": " هذا", "probability": 0.484619140625}, {"start": 2221.31, "end": 2223.95, "word": " انبسط", "probability": 0.5334701538085938}], "temperature": 1.0}, {"id": 78, "seek": 227655, "start": 2247.39, "end": 2276.55, "text": "مرة تانية بقول هذه if R is a ring with unity then the unity is unity ماعنديش فى ال ring إلا unity وحيد فقط لغى بعد هيك لو كان ال A اللى موجود فى ال ring R إله معكوس يعني إيش سمناه؟ إيش سمناه المضارف هذه؟ unit", "tokens": [2304, 25720, 6055, 7649, 10632, 4724, 39648, 29538, 498, 497, 307, 257, 4875, 365, 18205, 550, 264, 18205, 307, 18205, 19446, 3615, 1863, 16254, 8592, 6156, 7578, 2423, 4875, 11933, 15040, 18205, 4032, 5016, 25708, 6156, 47432, 5296, 17082, 7578, 39182, 39896, 4117, 45164, 25961, 2423, 316, 13672, 7578, 3714, 29245, 23328, 6156, 7578, 2423, 4875, 497, 11933, 43761, 20449, 4117, 41779, 37495, 22653, 11933, 1829, 8592, 8608, 2304, 8315, 3224, 22807, 11933, 1829, 8592, 8608, 2304, 8315, 3224, 9673, 11242, 9640, 5172, 29538, 22807, 4985], "avg_logprob": -0.29471983923309153, "compression_ratio": 1.5888324873096447, "no_speech_prob": 0.0, "words": [{"start": 2247.39, "end": 2247.79, "word": "مرة", "probability": 0.825927734375}, {"start": 2247.79, "end": 2248.33, "word": " تانية", "probability": 0.8426106770833334}, {"start": 2248.33, "end": 2249.47, "word": " بقول", "probability": 0.932861328125}, {"start": 2249.47, "end": 2250.15, "word": " هذه", "probability": 0.53369140625}, {"start": 2250.15, "end": 2255.05, "word": " if", "probability": 0.46875}, {"start": 2255.05, "end": 2255.59, "word": " R", "probability": 0.285400390625}, {"start": 2255.59, "end": 2256.03, "word": " is", "probability": 0.935546875}, {"start": 2256.03, "end": 2256.35, "word": " a", "probability": 0.88916015625}, {"start": 2256.35, "end": 2256.57, "word": " ring", "probability": 0.96630859375}, {"start": 2256.57, "end": 2256.89, "word": " with", "probability": 0.90478515625}, {"start": 2256.89, "end": 2257.55, "word": " unity", "probability": 0.94287109375}, {"start": 2257.55, "end": 2259.45, "word": " then", "probability": 0.54443359375}, {"start": 2259.45, "end": 2260.07, "word": " the", "probability": 0.7734375}, {"start": 2260.07, "end": 2260.57, "word": " unity", "probability": 0.95849609375}, {"start": 2260.57, "end": 2261.01, "word": " is", "probability": 0.96240234375}, {"start": 2261.01, "end": 2261.53, "word": " unity", "probability": 0.65625}, {"start": 2261.53, "end": 2262.59, "word": " ماعنديش", "probability": 0.838330078125}, {"start": 2262.59, "end": 2262.83, "word": " فى", "probability": 0.6904296875}, {"start": 2262.83, "end": 2262.85, "word": " ال", "probability": 0.916015625}, {"start": 2262.85, "end": 2263.13, "word": " ring", "probability": 0.95556640625}, {"start": 2263.13, "end": 2263.63, "word": " إلا", "probability": 0.852783203125}, {"start": 2263.63, "end": 2264.21, "word": " unity", "probability": 0.912109375}, {"start": 2264.21, "end": 2264.93, "word": " وحيد", "probability": 0.8528645833333334}, {"start": 2264.93, "end": 2265.53, "word": " فقط", "probability": 0.986083984375}, {"start": 2265.53, "end": 2266.09, "word": " لغى", "probability": 0.5699869791666666}, {"start": 2266.09, "end": 2267.33, "word": " بعد", "probability": 0.78173828125}, {"start": 2267.33, "end": 2267.73, "word": " هيك", "probability": 0.6094970703125}, {"start": 2267.73, "end": 2267.97, "word": " لو", "probability": 0.81005859375}, {"start": 2267.97, "end": 2268.37, "word": " كان", "probability": 0.9658203125}, {"start": 2268.37, "end": 2268.63, "word": " ال", "probability": 0.9453125}, {"start": 2268.63, "end": 2268.95, "word": " A", "probability": 0.578125}, {"start": 2268.95, "end": 2269.27, "word": " اللى", "probability": 0.947509765625}, {"start": 2269.27, "end": 2269.75, "word": " موجود", "probability": 0.9827473958333334}, {"start": 2269.75, "end": 2269.99, "word": " فى", "probability": 0.98779296875}, {"start": 2269.99, "end": 2270.11, "word": " ال", "probability": 0.84130859375}, {"start": 2270.11, "end": 2270.41, "word": " ring", "probability": 0.97412109375}, {"start": 2270.41, "end": 2270.93, "word": " R", "probability": 0.9228515625}, {"start": 2270.93, "end": 2271.43, "word": " إله", "probability": 0.4310302734375}, {"start": 2271.43, "end": 2272.35, "word": " معكوس", "probability": 0.8702799479166666}, {"start": 2272.35, "end": 2272.67, "word": " يعني", "probability": 0.92724609375}, {"start": 2272.67, "end": 2272.81, "word": " إيش", "probability": 0.79638671875}, {"start": 2272.81, "end": 2274.79, "word": " سمناه؟", "probability": 0.7037109375}, {"start": 2274.79, "end": 2274.99, "word": " إيش", "probability": 0.81640625}, {"start": 2274.99, "end": 2275.43, "word": " سمناه", "probability": 0.927978515625}, {"start": 2275.43, "end": 2275.91, "word": " المضارف", "probability": 0.527923583984375}, {"start": 2275.91, "end": 2276.27, "word": " هذه؟", "probability": 0.6119384765625}, {"start": 2276.27, "end": 2276.55, "word": " unit", "probability": 0.492919921875}], "temperature": 1.0}, {"id": 79, "seek": 230365, "start": 2276.99, "end": 2303.65, "text": "يبقى لو كان unit يعني له معكوس يبقى ال unit هذا يكون وحيدا فالمعكوس المطبق negative inverse له بيكون وحيد مافيهش غيره البرهان نفس البرهان تبع ال groups بالضبط تماما لا زيادة ولا نقصان يبقى لا داعي لتضيع الوقت فيه في عندنا ملاحظات هنا يبقى lots", "tokens": [1829, 3555, 4587, 7578, 45164, 25961, 4985, 37495, 22653, 46740, 20449, 4117, 41779, 7251, 3555, 4587, 7578, 2423, 4985, 23758, 7251, 30544, 4032, 5016, 25708, 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2292.71, "word": " groups", "probability": 0.884765625}, {"start": 2292.71, "end": 2293.57, "word": " بالضبط", "probability": 0.892822265625}, {"start": 2293.57, "end": 2294.17, "word": " تماما", "probability": 0.9915364583333334}, {"start": 2294.17, "end": 2294.33, "word": " لا", "probability": 0.76513671875}, {"start": 2294.33, "end": 2295.01, "word": " زيادة", "probability": 0.9591064453125}, {"start": 2295.01, "end": 2295.83, "word": " ولا", "probability": 0.94970703125}, {"start": 2295.83, "end": 2296.59, "word": " نقصان", "probability": 0.966796875}, {"start": 2296.59, "end": 2297.25, "word": " يبقى", "probability": 0.977294921875}, {"start": 2297.25, "end": 2297.37, "word": " لا", "probability": 0.94970703125}, {"start": 2297.37, "end": 2297.75, "word": " داعي", "probability": 0.9005533854166666}, {"start": 2297.75, "end": 2298.29, "word": " لتضيع", "probability": 0.8409423828125}, {"start": 2298.29, "end": 2298.87, "word": " الوقت", "probability": 0.9814453125}, {"start": 2298.87, "end": 2299.63, "word": " فيه", "probability": 0.925537109375}, {"start": 2299.63, "end": 2299.99, "word": " في", "probability": 0.65380859375}, {"start": 2299.99, "end": 2300.43, "word": " عندنا", "probability": 0.759521484375}, {"start": 2300.43, "end": 2301.27, "word": " ملاحظات", "probability": 0.97939453125}, {"start": 2301.27, "end": 2301.83, "word": " هنا", "probability": 0.93115234375}, {"start": 2301.83, "end": 2303.09, "word": " يبقى", "probability": 0.7578125}, {"start": 2303.09, "end": 2303.65, "word": " lots", "probability": 0.054107666015625}], "temperature": 1.0}, {"id": 80, "seek": 233409, "start": 2306.69, "end": 2334.09, "text": "ملاحظة الأولى if ال A و ال B و ال C موجودة فى ring R و ال R is a ring and ال A ضماء equal to zero then ال A فى B", "tokens": [2304, 15040, 5016, 19913, 3660, 16247, 12610, 7578, 498, 2423, 316, 4032, 2423, 363, 4032, 2423, 383, 3714, 29245, 23328, 3660, 6156, 7578, 4875, 497, 4032, 2423, 497, 307, 257, 4875, 293, 2423, 316, 48812, 2304, 16606, 2681, 281, 4018, 550, 2423, 316, 6156, 7578, 363], "avg_logprob": -0.3126662208678875, "compression_ratio": 1.2966101694915255, "no_speech_prob": 0.0, "words": [{"start": 2306.69, "end": 2307.39, "word": "ملاحظة", "probability": 0.88388671875}, {"start": 2307.39, "end": 2308.57, "word": " الأولى", "probability": 0.8746744791666666}, {"start": 2308.57, "end": 2310.43, "word": " if", "probability": 0.50732421875}, {"start": 2310.43, "end": 2311.99, "word": " ال", "probability": 0.7978515625}, {"start": 2311.99, "end": 2312.45, "word": " A", "probability": 0.29345703125}, {"start": 2312.45, "end": 2312.97, "word": " و", "probability": 0.47412109375}, {"start": 2312.97, "end": 2313.25, "word": " ال", "probability": 0.63720703125}, {"start": 2313.25, "end": 2313.69, "word": " B", "probability": 0.9375}, {"start": 2313.69, "end": 2314.15, "word": " و", "probability": 0.94970703125}, {"start": 2314.15, "end": 2314.43, "word": " ال", "probability": 0.857421875}, {"start": 2314.43, 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{"id": 86, "seek": 252025, "start": 2491.31, "end": 2520.25, "text": "الامر الثاني او الملاحظة الثانية if ال a belongs to ring R when اللي و من ال a تربيع بده ساوي ال a we cannot say that لا يمكن او لا نستطيع ان نقول", "tokens": [6027, 10943, 2288, 6024, 104, 7649, 1829, 1975, 2407, 9673, 15040, 5016, 19913, 3660, 6024, 104, 7649, 10632, 498, 2423, 257, 12953, 281, 4875, 497, 562, 13672, 1829, 4032, 9154, 2423, 257, 6055, 2288, 21292, 3615, 47525, 3224, 8608, 995, 45865, 2423, 257, 321, 2644, 584, 300, 20193, 7251, 43020, 1975, 2407, 20193, 8717, 14851, 9566, 40228, 16472, 8717, 39648], "avg_logprob": -0.2585809543484547, "compression_ratio": 1.4258064516129032, "no_speech_prob": 0.0, "words": [{"start": 2491.31, "end": 2491.99, "word": "الامر", "probability": 0.72412109375}, {"start": 2491.99, "end": 2492.61, "word": " الثاني", "probability": 0.9298095703125}, {"start": 2492.61, "end": 2492.85, "word": " او", "probability": 0.861328125}, {"start": 2492.85, "end": 2493.65, "word": " 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"end": 2592.61, "word": " a", "probability": 0.342529296875}, {"start": 2592.61, "end": 2593.21, "word": " يساوي", "probability": 0.9132080078125}, {"start": 2593.21, "end": 2593.61, "word": " zero", "probability": 0.72509765625}, {"start": 2593.61, "end": 2594.07, "word": " أو", "probability": 0.58837890625}, {"start": 2594.07, "end": 2594.29, "word": " ال", "probability": 0.87060546875}, {"start": 2594.29, "end": 2594.57, "word": " a", "probability": 0.90966796875}, {"start": 2594.57, "end": 2595.29, "word": " تساوي", "probability": 0.9766845703125}, {"start": 2595.29, "end": 2595.71, "word": " واحد", "probability": 0.98193359375}, {"start": 2595.71, "end": 2596.63, "word": " لكن", "probability": 0.78662109375}, {"start": 2596.63, "end": 2597.49, "word": " الواحد", "probability": 0.9715169270833334}, {"start": 2597.49, "end": 2597.79, "word": " هذا", "probability": 0.78271484375}, {"start": 2597.79, "end": 2598.15, "word": " مش", "probability": 0.9775390625}, {"start": 2598.15, 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"temperature": 1.0}, {"id": 90, "seek": 263190, "start": 2603.74, "end": 2631.9, "text": "يبقى هذا الكلام ايه يساوي zero او ايه يساوي غلط يبقى we say that ان ال a تساوي zero او ال a تساوي واحد انا ماعرف ايش قلنا with a تلاقى we cannot say ايه نخيناها بدأوا نعملها we cannot say نقدرش نقول ان a تساوي zero او a تساوي واحد", "tokens": [1829, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 1975, 1829, 3224, 7251, 3794, 995, 45865, 4018, 1975, 2407, 1975, 1829, 3224, 7251, 3794, 995, 45865, 32771, 1211, 9566, 7251, 3555, 4587, 7578, 321, 584, 300, 16472, 2423, 257, 6055, 3794, 995, 45865, 4018, 1975, 2407, 2423, 257, 6055, 3794, 995, 45865, 36764, 24401, 1975, 8315, 19446, 3615, 28480, 1975, 1829, 8592, 12174, 1211, 8315, 365, 257, 6055, 15040, 4587, 7578, 321, 2644, 584, 1975, 1829, 3224, 8717, 9778, 1829, 8315, 11296, 47525, 10721, 14407, 8717, 25957, 1211, 11296, 321, 2644, 584, 8717, 28543, 2288, 8592, 8717, 39648, 16472, 257, 6055, 3794, 995, 45865, 4018, 1975, 2407, 257, 6055, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.325932029830782, "compression_ratio": 1.967032967032967, "no_speech_prob": 0.0, "words": [{"start": 2603.74, "end": 2604.52, "word": "يبقى", "probability": 0.9407958984375}, {"start": 2604.52, "end": 2604.9, "word": " هذا", "probability": 0.77685546875}, {"start": 2604.9, "end": 2605.48, "word": " الكلام", "probability": 0.9435221354166666}, {"start": 2605.48, "end": 2605.9, "word": " ايه", "probability": 0.6991373697916666}, {"start": 2605.9, "end": 2606.22, "word": " يساوي", "probability": 0.795166015625}, {"start": 2606.22, "end": 2606.56, "word": " zero", "probability": 0.2315673828125}, {"start": 2606.56, "end": 2606.98, "word": " او", "probability": 0.8740234375}, {"start": 2606.98, "end": 2607.2, "word": " ايه", "probability": 0.9225260416666666}, {"start": 2607.2, "end": 2607.6, "word": " يساوي", "probability": 0.951171875}, {"start": 2607.6, "end": 2608.46, "word": " غلط", "probability": 0.6966959635416666}, {"start": 2608.46, "end": 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"probability": 0.5546875}, {"start": 2624.88, "end": 2625.88, "word": " نخيناها", "probability": 0.7287109375}, {"start": 2625.88, "end": 2626.24, "word": " بدأوا", "probability": 0.4163411458333333}, {"start": 2626.24, "end": 2627.04, "word": " نعملها", "probability": 0.760009765625}, {"start": 2627.04, "end": 2627.28, "word": " we", "probability": 0.43115234375}, {"start": 2627.28, "end": 2627.82, "word": " cannot", "probability": 0.904296875}, {"start": 2627.82, "end": 2628.2, "word": " say", "probability": 0.97705078125}, {"start": 2628.2, "end": 2628.88, "word": " نقدرش", "probability": 0.86114501953125}, {"start": 2628.88, "end": 2629.42, "word": " نقول", "probability": 0.9833984375}, {"start": 2629.42, "end": 2629.66, "word": " ان", "probability": 0.87158203125}, {"start": 2629.66, "end": 2629.92, "word": " a", "probability": 0.399658203125}, {"start": 2629.92, "end": 2630.3, "word": " تساوي", "probability": 0.989990234375}, {"start": 2630.3, "end": 2630.62, "word": " zero", 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"word": " ring", "probability": 0.8662109375}, {"start": 2699.38, "end": 2700.44, "word": " R", "probability": 0.183349609375}, {"start": 2700.44, "end": 2704.08, "word": " is", "probability": 0.8310546875}, {"start": 2704.08, "end": 2705.92, "word": " a", "probability": 0.97265625}, {"start": 2705.92, "end": 2706.84, "word": " sub", "probability": 0.90673828125}, {"start": 2706.84, "end": 2716.44, "word": " ring", "probability": 0.80615234375}, {"start": 2716.44, "end": 2717.18, "word": " if", "probability": 0.4462890625}, {"start": 2717.18, "end": 2718.62, "word": " ال", "probability": 0.7607421875}, {"start": 2718.62, "end": 2719.2, "word": " S", "probability": 0.30712890625}, {"start": 2719.2, "end": 2721.28, "word": " itself", "probability": 0.767578125}], "temperature": 1.0}, {"id": 94, "seek": 275393, "start": 2725.23, "end": 2753.93, "text": "is appearing نفسها under the operations on R فده نسميها sub ring", "tokens": [271, 19870, 8717, 36178, 11296, 833, 264, 7705, 322, 497, 6156, 3215, 3224, 8717, 38251, 1829, 11296, 1422, 4875], "avg_logprob": -0.5136718690395355, "compression_ratio": 0.9873417721518988, "no_speech_prob": 0.0, "words": [{"start": 2725.23, "end": 2726.63, "word": "is", "probability": 0.79736328125}, {"start": 2726.63, "end": 2728.03, "word": " appearing", "probability": 0.68408203125}, {"start": 2728.03, "end": 2730.43, "word": " نفسها", "probability": 0.8828125}, {"start": 2730.43, "end": 2731.25, "word": " under", "probability": 0.8837890625}, {"start": 2731.25, "end": 2733.39, "word": " the", "probability": 0.83349609375}, {"start": 2733.39, "end": 2736.25, "word": " operations", "probability": 0.93896484375}, {"start": 2736.25, "end": 2738.49, "word": " on", "probability": 0.9443359375}, {"start": 2738.49, "end": 2740.55, "word": " R", "probability": 0.262451171875}, {"start": 2740.55, "end": 2745.87, "word": " فده", "probability": 0.3993733723958333}, {"start": 2745.87, "end": 2751.43, "word": " نسميها", "probability": 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{"start": 2763.59, "end": 2764.03, "word": " non", "probability": 0.94140625}, {"start": 2764.03, "end": 2765.29, "word": "-empty", "probability": 0.9493815104166666}, {"start": 2765.29, "end": 2766.27, "word": " subset", "probability": 0.927734375}, {"start": 2766.27, "end": 2768.85, "word": " S", "probability": 0.3759765625}, {"start": 2768.85, "end": 2769.79, "word": " of", "probability": 0.921875}, {"start": 2769.79, "end": 2771.05, "word": " a", "probability": 0.77294921875}, {"start": 2771.05, "end": 2771.85, "word": " ring", "probability": 0.98681640625}, {"start": 2771.85, "end": 2773.15, "word": " A", "probability": 0.4326171875}, {"start": 2773.15, "end": 2775.39, "word": " is", "probability": 0.7939453125}, {"start": 2775.39, "end": 2777.21, "word": " a", "probability": 0.9873046875}, {"start": 2777.21, "end": 2779.57, "word": " subring", "probability": 0.6793212890625}, {"start": 2779.57, "end": 2781.19, "word": " F", "probability": 0.94189453125}], "temperature": 1.0}, {"id": 96, "seek": 280077, "start": 2799.37, "end": 2800.77, "text": "التعريف يقول", "tokens": [6027, 2655, 3615, 16572, 5172, 7251, 39648], "avg_logprob": -0.3232421800494194, "compression_ratio": 0.7419354838709677, "no_speech_prob": 0.0, "words": [{"start": 2799.37, "end": 2800.77, "word": "التعريف", "probability": 0.767724609375}, {"start": 2800.77, "end": 2800.77, "word": " يقول", "probability": 0.705810546875}], "temperature": 1.0}, {"id": 97, "seek": 284302, "start": 2813.4, "end": 2843.02, "text": "التعريف بيقول ان ال subset S of a ring R بسميه sub ring ما إذا كانت ال S نفسها بتظلها ring تحت نفس العمليات اللي على R يعني احنا عندنا ring كبيرة، خدنا منها شوية عناصر، تمام؟ العناصر هذه اللي جت ال 6 خواص طبعتها ال ring ينطبقوا عليها إن حدث ذلك بقول هذه sub ring يعني بدي أثبت ال 6 خواص", "tokens": [6027, 2655, 3615, 16572, 5172, 4724, 1829, 39648, 16472, 2423, 25993, 318, 295, 257, 4875, 497, 4724, 38251, 1829, 3224, 1422, 4875, 19446, 11933, 15730, 25961, 2655, 2423, 318, 8717, 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