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381.66, "end": 405.62, "text": "يبقى ال operation a star b a union b لكل ال a و ال b اللي موجودة في ال P of x then star is a binary operation على power set because نجي نشوف ما هو السبب الآن ال operation a star b بدي يسوي a union b السؤال هو a union b هل هذه ال subset من X يا شباب؟", "tokens": [1829, 3555, 4587, 7578, 2423, 6916, 257, 3543, 272, 257, 11671, 272, 5296, 28820, 2423, 257, 4032, 2423, 272, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 2423, 430, 295, 2031, 550, 3543, 307, 257, 17434, 6916, 15844, 1347, 992, 570, 8717, 7435, 1829, 8717, 8592, 38688, 19446, 31439, 21136, 3555, 3555, 6024, 48506, 2423, 6916, 257, 3543, 272, 4724, 16254, 7251, 3794, 45865, 257, 11671, 272, 21136, 33604, 6027, 31439, 257, 11671, 272, 8032, 1211, 29538, 2423, 25993, 9154, 1783, 35186, 13412, 3555, 16758, 22807], "avg_logprob": -0.27616278896498125, "compression_ratio": 1.6403940886699508, "no_speech_prob": 0.0, "words": [{"start": 381.66, "end": 382.28, "word": "يبقى", "probability": 0.78546142578125}, {"start": 382.28, "end": 382.38, "word": " ال", "probability": 0.74365234375}, {"start": 382.38, "end": 382.8, "word": " operation", "probability": 0.494140625}, {"start": 382.8, "end": 383.1, "word": " a", "probability": 0.45849609375}, {"start": 383.1, "end": 383.42, "word": " star", "probability": 0.0614013671875}, {"start": 383.42, "end": 383.68, "word": " b", "probability": 0.63720703125}, {"start": 383.68, "end": 384.1, "word": " a", "probability": 0.279052734375}, {"start": 384.1, "end": 384.46, "word": " union", "probability": 0.943359375}, {"start": 384.46, "end": 384.8, "word": " b", "probability": 0.955078125}, {"start": 384.8, "end": 385.3, "word": " لكل", "probability": 0.889892578125}, {"start": 385.3, "end": 385.48, "word": " ال", "probability": 0.52587890625}, {"start": 385.48, "end": 385.62, "word": " a", "probability": 0.80615234375}, {"start": 385.62, "end": 385.72, "word": " و", "probability": 0.49609375}, {"start": 385.72, "end": 385.8, "word": " ال", "probability": 0.75830078125}, {"start": 385.8, "end": 385.96, "word": " b", "probability": 0.9462890625}, {"start": 385.96, "end": 386.08, "word": " اللي", "probability": 0.595458984375}, {"start": 386.08, "end": 386.58, "word": " موجودة", "probability": 0.9658203125}, {"start": 386.58, "end": 386.88, "word": " في", "probability": 0.9462890625}, {"start": 386.88, "end": 387.3, "word": " ال", "probability": 0.591796875}, {"start": 387.3, "end": 387.48, "word": " P", "probability": 0.451416015625}, {"start": 387.48, "end": 387.66, "word": " of", "probability": 0.859375}, {"start": 387.66, "end": 387.86, "word": " x", "probability": 0.52587890625}, {"start": 387.86, "end": 388.2, "word": " then", "probability": 0.3671875}, {"start": 388.2, "end": 389.02, "word": " star", "probability": 0.290283203125}, {"start": 389.02, "end": 389.28, "word": " is", "probability": 0.74267578125}, {"start": 389.28, "end": 389.6, "word": " a", "probability": 0.97119140625}, {"start": 389.6, "end": 389.98, "word": " binary", "probability": 0.75244140625}, {"start": 389.98, "end": 390.48, "word": " operation", "probability": 0.966796875}, {"start": 390.48, "end": 390.68, "word": " على", "probability": 0.73974609375}, {"start": 390.68, "end": 390.98, "word": " power", "probability": 0.498291015625}, {"start": 390.98, "end": 391.28, "word": " set", "probability": 0.71337890625}, {"start": 391.28, "end": 392.06, "word": " because", "probability": 0.51611328125}, {"start": 392.06, "end": 392.48, "word": " نجي", "probability": 0.67919921875}, {"start": 392.48, "end": 392.9, "word": " نشوف", "probability": 0.9469401041666666}, {"start": 392.9, "end": 393.16, "word": " ما", "probability": 0.95263671875}, {"start": 393.16, "end": 393.6, "word": " هو", "probability": 0.9482421875}, {"start": 393.6, "end": 394.42, "word": " السبب", "probability": 0.9803059895833334}, {"start": 394.42, "end": 395.76, "word": " الآن", "probability": 0.6163330078125}, {"start": 395.76, "end": 396.42, "word": " ال", "probability": 0.96484375}, {"start": 396.42, "end": 397.12, "word": " operation", "probability": 0.96240234375}, {"start": 397.12, "end": 397.5, "word": " a", "probability": 0.9384765625}, {"start": 397.5, "end": 397.88, "word": " star", "probability": 0.89892578125}, {"start": 397.88, "end": 398.04, "word": " b", "probability": 0.91259765625}, {"start": 398.04, "end": 398.3, "word": " بدي", "probability": 0.6484375}, {"start": 398.3, "end": 398.72, "word": " يسوي", "probability": 0.74462890625}, {"start": 398.72, "end": 399.12, "word": " a", "probability": 0.974609375}, {"start": 399.12, "end": 399.66, "word": " union", "probability": 0.97021484375}, {"start": 399.66, "end": 399.94, "word": " b", "probability": 0.9912109375}, {"start": 399.94, "end": 400.52, "word": " السؤال", "probability": 0.9860026041666666}, {"start": 400.52, "end": 400.84, "word": " هو", "probability": 0.96484375}, {"start": 400.84, "end": 401.94, "word": " a", "probability": 0.916015625}, {"start": 401.94, "end": 402.54, "word": " union", "probability": 0.96337890625}, {"start": 402.54, "end": 402.94, "word": " b", "probability": 0.98974609375}, {"start": 402.94, "end": 403.3, "word": " هل", "probability": 0.972900390625}, {"start": 403.3, "end": 403.68, "word": " هذه", "probability": 0.76513671875}, {"start": 403.68, "end": 403.86, "word": " ال", "probability": 0.70361328125}, {"start": 403.86, "end": 404.26, "word": " subset", "probability": 0.89453125}, {"start": 404.26, "end": 404.54, "word": " من", "probability": 0.75146484375}, {"start": 404.54, "end": 404.8, "word": " X", "probability": 0.6357421875}, {"start": 404.8, "end": 404.98, "word": " يا", "probability": 0.9599609375}, {"start": 404.98, "end": 405.62, "word": " شباب؟", "probability": 0.912841796875}], "temperature": 1.0}, {"id": 16, "seek": 42639, "start": 407.07, "end": 426.39, "text": "لو أخدت any two subsets من الـ6X وجبت لهم الـunion يكون موجود في الـX itself ولا بتطلع برا؟ لاتطلعش برا يبقى هذا موجود دائما و أبدا في X طب والـX هذه أليس subset من ال power set of X؟", "tokens": [1211, 2407, 5551, 9778, 3215, 2655, 604, 732, 2090, 1385, 9154, 2423, 39184, 21, 55, 4032, 7435, 3555, 2655, 5296, 16095, 2423, 39184, 42137, 7251, 30544, 3714, 29245, 23328, 8978, 2423, 39184, 55, 2564, 49429, 39894, 9566, 1211, 3615, 4724, 23557, 22807, 5296, 9307, 9566, 1211, 3615, 8592, 4724, 23557, 7251, 3555, 4587, 7578, 23758, 3714, 29245, 23328, 11778, 16373, 15042, 4032, 5551, 3555, 28259, 8978, 1783, 23032, 3555, 16070, 39184, 55, 29538, 5551, 20292, 3794, 25993, 9154, 2423, 1347, 992, 295, 1783, 22807], "avg_logprob": -0.31268382352941176, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 407.07, "end": 407.41, "word": "لو", "probability": 0.74951171875}, {"start": 407.41, "end": 408.05, "word": " أخدت", "probability": 0.7755126953125}, {"start": 408.05, "end": 408.39, "word": " any", "probability": 0.2462158203125}, {"start": 408.39, "end": 409.03, "word": " two", "probability": 0.90576171875}, {"start": 409.03, "end": 410.09, "word": " subsets", "probability": 0.95703125}, {"start": 410.09, "end": 410.59, "word": " من", "probability": 0.96044921875}, {"start": 410.59, "end": 411.27, "word": " الـ6X", "probability": 0.465576171875}, {"start": 411.27, "end": 412.07, "word": " وجبت", "probability": 0.7542724609375}, {"start": 412.07, "end": 412.39, "word": " لهم", "probability": 0.76904296875}, {"start": 412.39, "end": 413.17, "word": " الـunion", "probability": 0.629638671875}, {"start": 413.17, "end": 414.03, "word": " يكون", "probability": 0.544677734375}, {"start": 414.03, "end": 414.45, "word": " موجود", "probability": 0.9010416666666666}, {"start": 414.45, "end": 414.57, "word": " في", "probability": 0.92333984375}, {"start": 414.57, "end": 414.87, "word": " الـX", "probability": 0.7677408854166666}, {"start": 414.87, "end": 415.23, "word": " itself", "probability": 0.1689453125}, {"start": 415.23, "end": 415.51, "word": " ولا", "probability": 0.771484375}, {"start": 415.51, "end": 415.89, "word": " بتطلع", "probability": 0.76708984375}, {"start": 415.89, "end": 416.87, "word": " برا؟", "probability": 0.743896484375}, {"start": 416.87, "end": 417.49, "word": " لاتطلعش", "probability": 0.7803955078125}, {"start": 417.49, "end": 417.73, "word": " برا", "probability": 0.97607421875}, {"start": 417.73, "end": 417.99, "word": " يبقى", "probability": 0.8848876953125}, {"start": 417.99, "end": 418.21, "word": " هذا", "probability": 0.8134765625}, {"start": 418.21, "end": 418.65, "word": " موجود", "probability": 0.9855143229166666}, {"start": 418.65, "end": 419.09, "word": " دائما", "probability": 0.9453125}, {"start": 419.09, "end": 419.25, "word": " و", "probability": 0.45849609375}, {"start": 419.25, "end": 419.67, "word": " أبدا", "probability": 0.8087565104166666}, {"start": 419.67, "end": 419.87, "word": " في", "probability": 0.96923828125}, {"start": 419.87, "end": 420.09, "word": " X", "probability": 0.92919921875}, {"start": 420.09, "end": 420.71, "word": " طب", "probability": 0.7314453125}, {"start": 420.71, "end": 421.43, "word": " والـX", "probability": 0.6629231770833334}, {"start": 421.43, "end": 422.03, "word": " هذه", "probability": 0.705078125}, {"start": 422.03, "end": 423.03, "word": " أليس", "probability": 0.9397786458333334}, {"start": 423.03, "end": 423.75, "word": " subset", "probability": 0.6298828125}, {"start": 423.75, "end": 424.11, "word": " من", "probability": 0.99560546875}, {"start": 424.11, "end": 424.39, "word": " ال", "probability": 0.92724609375}, {"start": 424.39, "end": 425.03, "word": " power", "probability": 0.62841796875}, {"start": 425.03, "end": 425.59, "word": " set", "probability": 0.91748046875}, {"start": 425.59, "end": 425.89, "word": " of", "probability": 0.96728515625}, {"start": 425.89, "end": 426.39, "word": " X؟", "probability": 0.923095703125}], "temperature": 1.0}, {"id": 17, "seek": 45428, "start": 427.22, "end": 454.28, "text": "يبقى star ال element هذا موجود في ال power set ال x هذه as a أعلى مش subset ال x هذه belongs موجودة في ال power set لكن ال a union b ال subset من ال x والx belong في ال power set of x معناه هذا كلام ال star is a binary operation طب السؤال هو", "tokens": [1829, 3555, 4587, 7578, 3543, 2423, 4478, 23758, 3714, 29245, 23328, 8978, 2423, 1347, 992, 2423, 2031, 29538, 382, 257, 5551, 3615, 23942, 37893, 25993, 2423, 2031, 29538, 12953, 3714, 29245, 23328, 3660, 8978, 2423, 1347, 992, 44381, 2423, 257, 11671, 272, 2423, 25993, 9154, 2423, 2031, 16070, 87, 5784, 8978, 2423, 1347, 992, 295, 2031, 20449, 8315, 3224, 23758, 28242, 10943, 2423, 3543, 307, 257, 17434, 6916, 23032, 3555, 21136, 33604, 6027, 31439], "avg_logprob": -0.306249992052714, "compression_ratio": 1.7580645161290323, "no_speech_prob": 0.0, "words": [{"start": 427.22, "end": 427.7, "word": "يبقى", "probability": 0.83819580078125}, {"start": 427.7, "end": 428.06, "word": " star", "probability": 0.262451171875}, {"start": 428.06, "end": 428.28, "word": " ال", "probability": 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"word": " أعلى", "probability": 0.74658203125}, {"start": 436.64, "end": 437.14, "word": " مش", "probability": 0.36767578125}, {"start": 437.14, "end": 437.78, "word": " subset", "probability": 0.861328125}, {"start": 437.78, "end": 437.98, "word": " ال", "probability": 0.69384765625}, {"start": 437.98, "end": 438.24, "word": " x", "probability": 0.744140625}, {"start": 438.24, "end": 438.6, "word": " هذه", "probability": 0.83935546875}, {"start": 438.6, "end": 439.62, "word": " belongs", "probability": 0.5068359375}, {"start": 439.62, "end": 441.06, "word": " موجودة", "probability": 0.9630126953125}, {"start": 441.06, "end": 441.32, "word": " في", "probability": 0.97802734375}, {"start": 441.32, "end": 441.7, "word": " ال", "probability": 0.9150390625}, {"start": 441.7, "end": 441.98, "word": " power", "probability": 0.86865234375}, {"start": 441.98, "end": 442.2, "word": " set", "probability": 0.95361328125}, {"start": 442.2, "end": 442.76, "word": " لكن", "probability": 0.82373046875}, {"start": 442.76, "end": 443.02, "word": " ال", "probability": 0.79736328125}, {"start": 443.02, "end": 443.3, "word": " a", "probability": 0.70947265625}, {"start": 443.3, "end": 443.6, "word": " union", "probability": 0.818359375}, {"start": 443.6, "end": 443.9, "word": " b", "probability": 0.95654296875}, {"start": 443.9, "end": 444.04, "word": " ال", "probability": 0.4951171875}, {"start": 444.04, "end": 444.42, "word": " subset", "probability": 0.96240234375}, {"start": 444.42, "end": 444.68, "word": " من", "probability": 0.986328125}, {"start": 444.68, "end": 444.86, "word": " ال", "probability": 0.92333984375}, {"start": 444.86, "end": 445.12, "word": " x", "probability": 0.95556640625}, {"start": 445.12, "end": 445.7, "word": " والx", "probability": 0.687255859375}, {"start": 445.7, "end": 446.26, "word": " belong", "probability": 0.361083984375}, {"start": 446.26, "end": 446.5, "word": " في", "probability": 0.890625}, {"start": 446.5, "end": 446.88, "word": " ال", "probability": 0.35205078125}, {"start": 446.88, "end": 448.44, "word": " power", "probability": 0.72802734375}, {"start": 448.44, "end": 449.1, "word": " set", "probability": 0.95751953125}, {"start": 449.1, "end": 449.46, "word": " of", "probability": 0.92041015625}, {"start": 449.46, "end": 449.76, "word": " x", "probability": 0.9619140625}, {"start": 449.76, "end": 450.4, "word": " معناه", "probability": 0.8732096354166666}, {"start": 450.4, "end": 450.62, "word": " هذا", "probability": 0.69482421875}, {"start": 450.62, "end": 451.0, "word": " كلام", "probability": 0.76708984375}, {"start": 451.0, "end": 451.12, "word": " ال", "probability": 0.439697265625}, {"start": 451.12, "end": 451.5, "word": " star", "probability": 0.7275390625}, {"start": 451.5, "end": 451.86, "word": " is", "probability": 0.9130859375}, {"start": 451.86, "end": 452.16, "word": " a", "probability": 0.974609375}, {"start": 452.16, "end": 452.7, "word": " binary", "probability": 0.85693359375}, {"start": 452.7, "end": 453.4, "word": " operation", "probability": 0.95166015625}, {"start": 453.4, "end": 453.66, "word": " طب", "probability": 0.692626953125}, {"start": 453.66, "end": 454.08, "word": " السؤال", "probability": 0.9718424479166666}, {"start": 454.08, "end": 454.28, "word": " هو", "probability": 0.98583984375}], "temperature": 1.0}, {"id": 18, "seek": 46440, "start": 454.78, "end": 464.4, "text": "هل ال intersection ما بين ال two sets a و b is a subset؟ يعني هل هو موجود في ال power set؟", "tokens": [3224, 1211, 2423, 15236, 19446, 49374, 2423, 732, 6352, 257, 4032, 272, 307, 257, 25993, 22807, 37495, 22653, 8032, 1211, 31439, 3714, 29245, 23328, 8978, 2423, 1347, 992, 22807], "avg_logprob": -0.1813802018761635, "compression_ratio": 1.174757281553398, "no_speech_prob": 0.0, "words": [{"start": 454.78, "end": 455.22, "word": "هل", "probability": 0.92626953125}, {"start": 455.22, "end": 455.32, "word": " ال", "probability": 0.853515625}, {"start": 455.32, "end": 456.2, "word": " intersection", "probability": 0.52490234375}, {"start": 456.2, "end": 456.64, "word": " ما", "probability": 0.4873046875}, {"start": 456.64, "end": 456.9, "word": " بين", "probability": 0.9892578125}, {"start": 456.9, "end": 457.06, "word": " ال", "probability": 0.837890625}, {"start": 457.06, "end": 457.32, "word": " two", "probability": 0.9150390625}, {"start": 457.32, "end": 457.94, "word": " sets", "probability": 0.955078125}, {"start": 457.94, "end": 458.48, "word": " a", "probability": 0.52392578125}, {"start": 458.48, "end": 458.66, "word": " و", "probability": 0.74267578125}, {"start": 458.66, "end": 459.14, "word": " b", "probability": 0.732421875}, {"start": 459.14, "end": 459.92, "word": " is", "probability": 0.83251953125}, {"start": 459.92, "end": 460.22, "word": " a", "probability": 0.96826171875}, {"start": 460.22, "end": 461.52, "word": " subset؟", "probability": 0.71142578125}, {"start": 461.52, "end": 461.92, "word": " يعني", "probability": 0.87158203125}, {"start": 461.92, "end": 462.2, "word": " هل", "probability": 0.90185546875}, {"start": 462.2, "end": 462.38, "word": " هو", "probability": 0.994140625}, {"start": 462.38, "end": 462.88, "word": " موجود", "probability": 0.9881184895833334}, {"start": 462.88, "end": 462.98, "word": " في", "probability": 0.9169921875}, {"start": 462.98, "end": 463.12, "word": " ال", "probability": 0.9111328125}, {"start": 463.12, "end": 463.6, "word": " power", "probability": 0.8623046875}, {"start": 463.6, "end": 464.4, "word": " set؟", "probability": 0.943359375}], "temperature": 1.0}, {"id": 19, "seek": 48784, "start": 466.26, "end": 487.84, "text": "ليش؟ على أسوأ الاحتمالات بدي يطلع في فحو ولا لأ في subset من ال X ولا لأ يبقى في موجودة في ال power set وبناء عليه سعر ال intersection كمان also is a binary operation يبقى باجي بقول ان similarly كمان شغلة تانية", "tokens": [20292, 8592, 22807, 15844, 5551, 3794, 2407, 10721, 42963, 33753, 2304, 6027, 9307, 4724, 16254, 7251, 9566, 1211, 3615, 8978, 6156, 5016, 2407, 49429, 5296, 10721, 8978, 25993, 9154, 2423, 1783, 49429, 5296, 10721, 7251, 3555, 4587, 7578, 8978, 3714, 29245, 23328, 3660, 8978, 2423, 1347, 992, 46599, 1863, 16606, 47356, 8608, 3615, 2288, 2423, 15236, 9122, 2304, 7649, 611, 307, 257, 17434, 6916, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 16472, 14138, 9122, 2304, 7649, 13412, 17082, 37977, 6055, 7649, 10632], "avg_logprob": -0.2340073585510254, "compression_ratio": 1.5023474178403755, "no_speech_prob": 0.0, "words": [{"start": 466.26, "end": 467.18, "word": "ليش؟", "probability": 0.5634562174479166}, {"start": 467.18, "end": 467.5, "word": " على", "probability": 0.70263671875}, {"start": 467.5, "end": 468.08, "word": " أسوأ", "probability": 0.938720703125}, {"start": 468.08, "end": 468.86, "word": " الاحتمالات", "probability": 0.93974609375}, {"start": 468.86, "end": 469.08, "word": " بدي", "probability": 0.367919921875}, {"start": 469.08, "end": 469.48, "word": " يطلع", "probability": 0.94091796875}, {"start": 469.48, "end": 469.94, "word": " في", "probability": 0.62109375}, {"start": 469.94, "end": 470.74, "word": " فحو", "probability": 0.6378580729166666}, {"start": 470.74, "end": 470.88, "word": " ولا", "probability": 0.8935546875}, {"start": 470.88, "end": 471.18, "word": " لأ", "probability": 0.5977783203125}, {"start": 471.18, "end": 471.94, "word": " في", "probability": 0.39306640625}, {"start": 471.94, "end": 472.56, "word": " subset", "probability": 0.45166015625}, {"start": 472.56, "end": 472.92, "word": " من", "probability": 0.9931640625}, {"start": 472.92, "end": 473.1, "word": " ال", "probability": 0.9072265625}, {"start": 473.1, "end": 473.4, "word": " X", "probability": 0.66455078125}, {"start": 473.4, "end": 473.68, "word": " ولا", "probability": 0.90234375}, {"start": 473.68, "end": 474.3, "word": " لأ", "probability": 0.980712890625}, {"start": 474.3, "end": 475.22, "word": " يبقى", "probability": 0.923095703125}, {"start": 475.22, "end": 475.48, "word": " في", "probability": 0.93017578125}, {"start": 475.48, "end": 476.18, "word": " موجودة", "probability": 0.97314453125}, {"start": 476.18, "end": 476.3, "word": " في", "probability": 0.94140625}, {"start": 476.3, "end": 476.46, "word": " ال", "probability": 0.92529296875}, {"start": 476.46, "end": 476.76, "word": " power", "probability": 0.51318359375}, {"start": 476.76, "end": 477.28, "word": " set", "probability": 0.94580078125}, {"start": 477.28, "end": 478.16, "word": " وبناء", "probability": 0.8302408854166666}, {"start": 478.16, "end": 478.76, "word": " عليه", "probability": 0.92822265625}, {"start": 478.76, "end": 479.46, "word": " سعر", "probability": 0.9152018229166666}, {"start": 479.46, "end": 479.62, "word": " ال", "probability": 0.99462890625}, {"start": 479.62, "end": 480.36, "word": " intersection", "probability": 0.89501953125}, {"start": 480.36, "end": 481.14, "word": " كمان", "probability": 0.9571940104166666}, {"start": 481.14, "end": 481.58, "word": " also", "probability": 0.407470703125}, {"start": 481.58, "end": 481.96, "word": " is", "probability": 0.93408203125}, {"start": 481.96, "end": 482.22, "word": " a", "probability": 0.9775390625}, {"start": 482.22, "end": 482.62, "word": " binary", "probability": 0.86328125}, {"start": 482.62, "end": 483.38, "word": " operation", "probability": 0.9482421875}, {"start": 483.38, "end": 484.22, "word": " يبقى", "probability": 0.968017578125}, {"start": 484.22, "end": 484.52, "word": " باجي", "probability": 0.7808430989583334}, {"start": 484.52, "end": 484.9, "word": " بقول", "probability": 0.96435546875}, {"start": 484.9, "end": 485.1, "word": " ان", "probability": 0.324462890625}, {"start": 485.1, "end": 486.12, "word": " similarly", "probability": 0.72900390625}, {"start": 486.12, "end": 486.72, "word": " كمان", "probability": 0.9519856770833334}, {"start": 486.72, "end": 487.32, "word": " شغلة", "probability": 0.87451171875}, {"start": 487.32, "end": 487.84, "word": " تانية", "probability": 0.9925130208333334}], "temperature": 1.0}, {"id": 20, "seek": 51392, "start": 488.21, "end": 513.93, "text": "similarly ال .. ال .. ال star او a star b ال a star b بدي يسوي a intersection b ها دي is a binary is a binary operation", "tokens": [30937, 2202, 356, 2423, 4386, 2423, 4386, 2423, 3543, 1975, 2407, 257, 3543, 272, 2423, 257, 3543, 272, 4724, 16254, 7251, 3794, 45865, 257, 15236, 272, 8032, 995, 11778, 1829, 307, 257, 17434, 307, 257, 17434, 6916], "avg_logprob": -0.28433389255875036, "compression_ratio": 1.4141414141414141, "no_speech_prob": 0.0, "words": [{"start": 488.21, "end": 490.45, "word": "similarly", "probability": 0.6571451822916666}, {"start": 490.45, "end": 493.55, "word": " ال", "probability": 0.705078125}, {"start": 493.55, "end": 493.63, "word": " ..", "probability": 0.521484375}, {"start": 493.63, "end": 494.29, "word": " ال", "probability": 0.90478515625}, {"start": 494.29, "end": 494.29, "word": " ..", "probability": 0.82080078125}, {"start": 494.29, "end": 494.61, "word": " ال", "probability": 0.9326171875}, {"start": 494.61, "end": 495.19, "word": " star", "probability": 0.59375}, {"start": 495.19, "end": 495.87, "word": " او", "probability": 0.744140625}, {"start": 495.87, "end": 496.21, "word": " a", "probability": 0.8212890625}, {"start": 496.21, "end": 496.69, "word": " star", "probability": 0.66455078125}, {"start": 496.69, "end": 497.11, "word": " b", "probability": 0.916015625}, {"start": 497.11, "end": 498.51, "word": " ال", "probability": 0.92236328125}, {"start": 498.51, "end": 498.99, "word": " a", "probability": 0.96337890625}, {"start": 498.99, "end": 499.87, "word": " star", "probability": 0.9365234375}, {"start": 499.87, "end": 500.71, "word": " b", "probability": 0.9833984375}, {"start": 500.71, "end": 501.41, "word": " بدي", "probability": 0.5970458984375}, {"start": 501.41, "end": 501.93, "word": " يسوي", "probability": 0.7205403645833334}, {"start": 501.93, "end": 502.37, "word": " a", "probability": 0.9599609375}, {"start": 502.37, "end": 503.57, "word": " intersection", "probability": 0.91455078125}, {"start": 503.57, "end": 504.29, "word": " b", "probability": 0.97265625}, {"start": 504.29, "end": 505.35, "word": " ها", "probability": 0.4864501953125}, {"start": 505.35, "end": 505.65, "word": " دي", "probability": 0.8212890625}, {"start": 505.65, "end": 506.43, "word": " is", "probability": 0.96044921875}, {"start": 506.43, "end": 507.07, "word": " a", "probability": 0.99609375}, {"start": 507.07, "end": 508.13, "word": " binary", "probability": 0.90283203125}, {"start": 508.13, "end": 511.07, "word": " is", "probability": 0.81005859375}, {"start": 511.07, "end": 511.47, "word": " a", "probability": 0.99755859375}, {"start": 511.47, "end": 512.13, "word": " binary", "probability": 0.88037109375}, {"start": 512.13, "end": 513.93, "word": " operation", "probability": 0.9609375}], "temperature": 1.0}, {"id": 21, "seek": 52852, "start": 520.5, "end": 528.52, "text": "بارضه بنفس الطريقة ليش ان ال intersection ما بين ال A والB موجود في ال set X", "tokens": [3555, 9640, 11242, 3224, 44945, 36178, 41950, 16572, 28671, 32239, 8592, 16472, 2423, 15236, 19446, 49374, 2423, 316, 16070, 33, 3714, 29245, 23328, 8978, 2423, 992, 1783], "avg_logprob": -0.419084832072258, "compression_ratio": 1.1568627450980393, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 520.5, "end": 521.3, "word": "بارضه", "probability": 0.5300750732421875}, {"start": 521.3, "end": 521.9, "word": " بنفس", "probability": 0.91357421875}, {"start": 521.9, "end": 522.42, "word": " الطريقة", "probability": 0.9484049479166666}, {"start": 522.42, "end": 522.72, "word": " ليش", "probability": 0.568603515625}, {"start": 522.72, "end": 522.86, "word": " ان", "probability": 0.8291015625}, {"start": 522.86, "end": 522.96, "word": " ال", "probability": 0.91357421875}, {"start": 522.96, "end": 523.46, "word": " intersection", "probability": 0.33251953125}, {"start": 523.46, "end": 523.8, "word": " ما", "probability": 0.78369140625}, {"start": 523.8, "end": 524.0, "word": " بين", "probability": 0.955078125}, {"start": 524.0, "end": 524.16, "word": " ال", "probability": 0.94091796875}, {"start": 524.16, "end": 524.36, "word": " A", "probability": 0.390380859375}, {"start": 524.36, "end": 524.82, "word": " والB", "probability": 0.611572265625}, {"start": 524.82, "end": 526.08, "word": " موجود", "probability": 0.9754231770833334}, {"start": 526.08, "end": 527.42, "word": " في", "probability": 0.8935546875}, {"start": 527.42, "end": 527.62, "word": " ال", "probability": 0.5595703125}, {"start": 527.62, "end": 528.02, "word": " set", "probability": 0.85791015625}, {"start": 528.02, "end": 528.52, "word": " X", "probability": 0.80029296875}], "temperature": 1.0}, {"id": 22, "seek": 56002, "start": 534.46, "end": 560.02, "text": "بسبب أن a intersection b هو subset من set x وهذا سيعطينا أن a intersection b هو subset من set x طيب ناخد كمان مثال بيختلف عن شكل هذه الأمثلة كليا", "tokens": [3555, 35457, 3555, 14739, 257, 15236, 272, 31439, 1422, 3854, 9154, 992, 2031, 37037, 15730, 8608, 1829, 3615, 9566, 1829, 8315, 14739, 257, 15236, 272, 31439, 1422, 3854, 9154, 992, 2031, 23032, 1829, 3555, 8717, 47283, 3215, 9122, 2304, 7649, 50113, 6027, 4724, 1829, 46456, 46538, 18871, 13412, 28820, 29538, 16247, 2304, 12984, 37977, 28242, 25528], "avg_logprob": -0.4956140183565909, "compression_ratio": 1.5474452554744527, "no_speech_prob": 0.0, "words": [{"start": 534.46, "end": 535.4, "word": "بسبب", "probability": 0.5236002604166666}, {"start": 535.4, "end": 535.86, "word": " أن", "probability": 0.38623046875}, {"start": 535.86, "end": 536.3, "word": " a", "probability": 0.33642578125}, {"start": 536.3, "end": 537.34, "word": " intersection", "probability": 0.2315673828125}, {"start": 537.34, "end": 538.0, "word": " b", "probability": 0.8857421875}, {"start": 538.0, "end": 538.78, "word": " هو", "probability": 0.6455078125}, {"start": 538.78, "end": 539.62, "word": " subset", "probability": 0.313751220703125}, {"start": 539.62, "end": 539.88, "word": " من", "probability": 0.9443359375}, {"start": 539.88, "end": 540.5, "word": " set", "probability": 0.2919921875}, {"start": 540.5, "end": 541.0, "word": " x", "probability": 0.72314453125}, {"start": 541.0, "end": 541.96, "word": " وهذا", "probability": 0.8076171875}, {"start": 541.96, "end": 542.98, "word": " سيعطينا", "probability": 0.6637980143229166}, {"start": 542.98, "end": 543.66, "word": " أن", "probability": 0.450927734375}, {"start": 543.66, "end": 544.22, "word": " a", "probability": 0.78564453125}, {"start": 544.22, "end": 545.2, "word": " intersection", "probability": 0.884765625}, {"start": 545.2, "end": 546.14, "word": " b", "probability": 0.9521484375}, {"start": 546.14, "end": 547.04, "word": " هو", "probability": 0.064208984375}, {"start": 547.04, "end": 548.76, "word": " subset", "probability": 0.587890625}, {"start": 548.76, "end": 548.76, "word": " من", "probability": 0.9501953125}, {"start": 548.76, "end": 550.28, "word": " set", "probability": 0.278564453125}, {"start": 550.28, "end": 551.44, "word": " x", "probability": 0.87158203125}, {"start": 551.44, "end": 554.02, "word": " طيب", "probability": 0.6818033854166666}, {"start": 554.02, "end": 554.6, "word": " ناخد", "probability": 0.8553059895833334}, {"start": 554.6, "end": 555.0, "word": " كمان", "probability": 0.7364908854166666}, {"start": 555.0, "end": 555.68, "word": " مثال", "probability": 0.769775390625}, {"start": 555.68, "end": 557.66, "word": " بيختلف", "probability": 0.853515625}, {"start": 557.66, "end": 557.92, "word": " عن", "probability": 0.986328125}, {"start": 557.92, "end": 558.3, "word": " شكل", "probability": 0.9765625}, {"start": 558.3, "end": 558.66, "word": " هذه", "probability": 0.9619140625}, {"start": 558.66, "end": 559.28, "word": " الأمثلة", "probability": 0.974853515625}, {"start": 559.28, "end": 560.02, "word": " كليا", "probability": 0.5662841796875}], "temperature": 1.0}, {"id": 23, "seek": 58575, "start": 560.69, "end": 585.75, "text": "let خمسة let الجي capital g بدي ساوي كل ال real numbers x اللي موجودة في ال set of real numbers بحيث ان ال x أكبر من أو تساوي واحد define عرفلي a star by", "tokens": [2631, 16490, 2304, 3794, 3660, 718, 25724, 1829, 4238, 290, 4724, 16254, 8608, 995, 45865, 28242, 2423, 957, 3547, 2031, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 2423, 992, 295, 957, 3547, 4724, 5016, 1829, 12984, 16472, 2423, 2031, 5551, 4117, 26890, 9154, 34051, 6055, 3794, 995, 45865, 36764, 24401, 6964, 6225, 28480, 20292, 257, 3543, 538], "avg_logprob": -0.25148168822814676, "compression_ratio": 1.3935483870967742, "no_speech_prob": 0.0, "words": [{"start": 560.69, "end": 561.39, "word": "let", "probability": 0.58544921875}, {"start": 561.39, "end": 562.71, "word": " خمسة", "probability": 0.83544921875}, {"start": 562.71, "end": 563.85, "word": " let", "probability": 0.69140625}, {"start": 563.85, "end": 566.09, "word": " الجي", "probability": 0.599609375}, {"start": 566.09, "end": 566.69, "word": " capital", "probability": 0.4765625}, {"start": 566.69, "end": 567.43, "word": " g", "probability": 0.263916015625}, {"start": 567.43, "end": 568.19, "word": " بدي", "probability": 0.5697021484375}, {"start": 568.19, "end": 568.75, "word": " ساوي", "probability": 0.629150390625}, {"start": 568.75, "end": 569.35, "word": " كل", "probability": 0.970703125}, {"start": 569.35, "end": 569.67, "word": " ال", "probability": 0.763671875}, {"start": 569.67, "end": 569.97, "word": " real", "probability": 0.86669921875}, {"start": 569.97, "end": 570.93, "word": " numbers", "probability": 0.5283203125}, {"start": 570.93, "end": 571.37, "word": " x", "probability": 0.51513671875}, {"start": 571.37, "end": 571.71, "word": " اللي", "probability": 0.9169921875}, {"start": 571.71, "end": 572.43, "word": " موجودة", "probability": 0.9864501953125}, {"start": 572.43, "end": 572.57, "word": " في", "probability": 0.88232421875}, {"start": 572.57, "end": 572.71, "word": " ال", "probability": 0.7099609375}, {"start": 572.71, "end": 572.95, "word": " set", "probability": 0.92529296875}, {"start": 572.95, "end": 573.13, "word": " of", "probability": 0.95458984375}, {"start": 573.13, "end": 573.39, "word": " real", "probability": 0.9638671875}, {"start": 573.39, "end": 574.01, "word": " numbers", "probability": 0.88818359375}, {"start": 574.01, "end": 575.11, "word": " بحيث", "probability": 0.9649658203125}, {"start": 575.11, "end": 575.31, "word": " ان", "probability": 0.66015625}, {"start": 575.31, "end": 575.49, "word": " ال", "probability": 0.8623046875}, {"start": 575.49, "end": 575.85, "word": " x", "probability": 0.82080078125}, {"start": 575.85, "end": 576.57, "word": " أكبر", "probability": 0.89208984375}, {"start": 576.57, "end": 576.97, "word": " من", "probability": 0.9775390625}, {"start": 576.97, "end": 577.35, "word": " أو", "probability": 0.6181640625}, {"start": 577.35, "end": 577.99, "word": " تساوي", "probability": 0.9276123046875}, {"start": 577.99, "end": 578.51, "word": " واحد", "probability": 0.9775390625}, {"start": 578.51, "end": 580.13, "word": " define", "probability": 0.939453125}, {"start": 580.13, "end": 582.15, "word": " عرفلي", "probability": 0.9207356770833334}, {"start": 582.15, "end": 582.69, "word": " a", "probability": 0.43017578125}, {"start": 582.69, "end": 583.43, "word": " star", "probability": 0.68798828125}, {"start": 583.43, "end": 585.75, "word": " by", "probability": 0.626953125}], "temperature": 1.0}, {"id": 24, "seek": 61688, "start": 588.02, "end": 616.88, "text": "x star y يساوي x y ناقص x ناقص y زائدي اتنين then star اللي عندنا هذا is a binary operation is a binary operation because", "tokens": [87, 3543, 288, 7251, 3794, 995, 45865, 2031, 288, 8717, 995, 4587, 9381, 2031, 8717, 995, 4587, 9381, 288, 30767, 16373, 16254, 1975, 2655, 1863, 9957, 550, 3543, 13672, 1829, 43242, 8315, 23758, 307, 257, 17434, 6916, 307, 257, 17434, 6916, 570], "avg_logprob": -0.1940406997536504, "compression_ratio": 1.3, "no_speech_prob": 0.0, "words": [{"start": 588.02, "end": 588.56, "word": "x", "probability": 0.200927734375}, {"start": 588.56, "end": 589.58, "word": " star", "probability": 0.1318359375}, {"start": 589.58, "end": 590.28, "word": " y", "probability": 0.978515625}, {"start": 590.28, "end": 591.86, "word": " يساوي", "probability": 0.882568359375}, {"start": 591.86, "end": 593.1, "word": " x", "probability": 0.8017578125}, {"start": 593.1, "end": 594.1, "word": " y", "probability": 0.8642578125}, {"start": 594.1, "end": 595.1, "word": " ناقص", "probability": 0.818359375}, {"start": 595.1, "end": 595.52, "word": " x", "probability": 0.9619140625}, {"start": 595.52, "end": 596.6, "word": " ناقص", "probability": 0.9921875}, {"start": 596.6, "end": 597.08, "word": " y", "probability": 0.98681640625}, {"start": 597.08, "end": 598.04, "word": " زائدي", "probability": 0.7200520833333334}, {"start": 598.04, "end": 598.72, "word": " اتنين", "probability": 0.9327392578125}, {"start": 598.72, "end": 601.22, "word": " then", "probability": 0.62353515625}, {"start": 601.22, "end": 603.28, "word": " star", "probability": 0.432373046875}, {"start": 603.28, "end": 603.52, "word": " اللي", "probability": 0.956298828125}, {"start": 603.52, "end": 603.98, "word": " عندنا", "probability": 0.927001953125}, {"start": 603.98, "end": 604.4, "word": " هذا", "probability": 0.67431640625}, {"start": 604.4, "end": 605.82, "word": " is", "probability": 0.88818359375}, {"start": 605.82, "end": 607.02, "word": " a", "probability": 0.95263671875}, {"start": 607.02, "end": 607.92, "word": " binary", "probability": 0.87353515625}, {"start": 607.92, "end": 610.52, "word": " operation", "probability": 0.95166015625}, {"start": 610.52, "end": 613.68, "word": " is", "probability": 0.7900390625}, {"start": 613.68, "end": 614.06, "word": " a", "probability": 0.99609375}, {"start": 614.06, "end": 614.54, "word": " binary", "probability": 0.865234375}, {"start": 614.54, "end": 615.58, "word": " operation", "probability": 0.955078125}, {"start": 615.58, "end": 616.88, "word": " because", "probability": 0.94921875}], "temperature": 1.0}, {"id": 25, "seek": 62971, "start": 626.45, "end": 629.71, "text": "السبب؟ خلّي بالك هنا", "tokens": [6027, 35457, 3555, 22807, 16490, 1211, 11703, 1829, 20666, 4117, 34105], "avg_logprob": -0.3489583283662796, "compression_ratio": 0.8604651162790697, "no_speech_prob": 0.0, "words": [{"start": 626.45, "end": 627.85, "word": "السبب؟", "probability": 0.8125}, {"start": 627.85, "end": 629.25, "word": " خلّي", "probability": 0.6900634765625}, {"start": 629.25, "end": 629.51, "word": " بالك", "probability": 0.67333984375}, {"start": 629.51, "end": 629.71, "word": " هنا", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 26, "seek": 65601, "start": 631.19, "end": 656.01, "text": "الان انا اخد ست جديدة على غير الأمثلة السابقة سميتها G مين هي G؟ اخدت عناصر من set of real numbers اللي مين هم العناصر كلهم اللي بيكونوا دائما وأبدا أكبر من الواحد الصحية كسور مش كسور اللي وهم اعداد موجبة دائما وأبدا وكلها أكبر من الواحد الصحيح", "tokens": [6027, 7649, 1975, 8315, 1975, 9778, 3215, 8608, 2655, 10874, 16254, 41891, 15844, 32771, 13546, 16247, 2304, 12984, 37977, 21136, 16758, 28671, 8608, 2304, 36081, 11296, 460, 3714, 9957, 39896, 460, 22807, 1975, 9778, 3215, 2655, 18871, 33546, 2288, 9154, 992, 295, 957, 3547, 13672, 1829, 3714, 9957, 8032, 2304, 18863, 1863, 33546, 2288, 28242, 16095, 13672, 1829, 4724, 1829, 30544, 14407, 11778, 16373, 15042, 36725, 3555, 28259, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 10632, 9122, 3794, 13063, 37893, 9122, 3794, 13063, 13672, 1829, 4032, 16095, 1975, 22488, 18513, 3714, 29245, 49401, 11778, 16373, 15042, 36725, 3555, 28259, 4032, 28820, 11296, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016], "avg_logprob": -0.1880387955441557, "compression_ratio": 1.9227272727272726, "no_speech_prob": 0.0, "words": [{"start": 631.19, "end": 631.71, "word": "الان", "probability": 0.6612548828125}, {"start": 631.71, "end": 631.95, "word": " انا", "probability": 0.834228515625}, {"start": 631.95, "end": 632.31, "word": " اخد", "probability": 0.75048828125}, {"start": 632.31, "end": 632.65, "word": " ست", "probability": 0.70703125}, {"start": 632.65, "end": 633.27, "word": " جديدة", "probability": 0.8269856770833334}, {"start": 633.27, "end": 633.61, "word": " على", "probability": 0.62841796875}, {"start": 633.61, "end": 634.23, "word": " غير", "probability": 0.989990234375}, {"start": 634.23, "end": 635.39, "word": " الأمثلة", "probability": 0.892333984375}, {"start": 635.39, "end": 636.17, "word": " السابقة", "probability": 0.9915364583333334}, {"start": 636.17, "end": 637.01, "word": " سميتها", "probability": 0.8590087890625}, {"start": 637.01, "end": 637.29, "word": " G", "probability": 0.47900390625}, {"start": 637.29, "end": 638.43, "word": " مين", "probability": 0.736328125}, {"start": 638.43, "end": 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"probability": 0.92138671875}, {"start": 644.01, "end": 644.67, "word": " كلهم", "probability": 0.798095703125}, {"start": 644.67, "end": 644.83, "word": " اللي", "probability": 0.962646484375}, {"start": 644.83, "end": 645.37, "word": " بيكونوا", "probability": 0.84295654296875}, {"start": 645.37, "end": 645.77, "word": " دائما", "probability": 0.9176432291666666}, {"start": 645.77, "end": 646.35, "word": " وأبدا", "probability": 0.6809895833333334}, {"start": 646.35, "end": 646.97, "word": " أكبر", "probability": 0.9059244791666666}, {"start": 646.97, "end": 647.35, "word": " من", "probability": 0.99267578125}, {"start": 647.35, "end": 648.57, "word": " الواحد", "probability": 0.98974609375}, {"start": 648.57, "end": 649.27, "word": " الصحية", "probability": 0.8582356770833334}, {"start": 649.27, "end": 650.23, "word": " كسور", "probability": 0.6582845052083334}, {"start": 650.23, "end": 650.47, "word": " مش", "probability": 0.9638671875}, {"start": 650.47, "end": 650.95, "word": " كسور", "probability": 0.9772135416666666}, {"start": 650.95, "end": 651.11, "word": " اللي", "probability": 0.720703125}, {"start": 651.11, "end": 651.39, "word": " وهم", "probability": 0.583740234375}, {"start": 651.39, "end": 651.95, "word": " اعداد", "probability": 0.7764485677083334}, {"start": 651.95, "end": 652.41, "word": " موجبة", "probability": 0.9689127604166666}, {"start": 652.41, "end": 652.83, "word": " دائما", "probability": 0.9733072916666666}, {"start": 652.83, "end": 653.35, "word": " وأبدا", "probability": 0.78564453125}, {"start": 653.35, "end": 654.41, "word": " وكلها", "probability": 0.9501953125}, {"start": 654.41, "end": 654.87, "word": " أكبر", "probability": 0.919921875}, {"start": 654.87, "end": 655.07, "word": " من", "probability": 0.99609375}, {"start": 655.07, "end": 655.49, "word": " الواحد", "probability": 0.9954427083333334}, {"start": 655.49, "end": 656.01, "word": " الصحيح", "probability": 0.9163818359375}], "temperature": 1.0}, {"id": 27, "seek": 67827, "start": 656.45, "end": 678.27, "text": "عرفت star على ال G cross ال G إلى G على الشكل التالي X star Y بده يساوي XY ناقص X ناقص Y زائد اتنين يبقى عملية ضرب و طرح و جمع في آن واحد من هذه ال star عرفتها بهذه الطريقة أنا أدعي", "tokens": [3615, 28480, 2655, 3543, 15844, 2423, 460, 3278, 2423, 460, 30731, 460, 15844, 25124, 28820, 16712, 6027, 1829, 1783, 3543, 398, 47525, 3224, 7251, 3794, 995, 45865, 48826, 8717, 995, 4587, 9381, 1783, 8717, 995, 4587, 9381, 398, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 6225, 42213, 10632, 48812, 25513, 4032, 23032, 2288, 5016, 4032, 10874, 2304, 3615, 8978, 19753, 1863, 36764, 24401, 9154, 29538, 2423, 3543, 6225, 28480, 2655, 11296, 39627, 24192, 41950, 16572, 28671, 41850, 5551, 3215, 3615, 1829], "avg_logprob": -0.25726743389007656, "compression_ratio": 1.6277777777777778, "no_speech_prob": 0.0, "words": [{"start": 656.45, "end": 657.29, "word": "عرفت", "probability": 0.8642578125}, {"start": 657.29, "end": 657.93, "word": " star", "probability": 0.316650390625}, {"start": 657.93, "end": 658.81, "word": " على", "probability": 0.7529296875}, {"start": 658.81, "end": 659.27, "word": " ال", "probability": 0.43017578125}, {"start": 659.27, "end": 659.45, "word": " G", "probability": 0.230224609375}, {"start": 659.45, "end": 659.95, "word": " cross", "probability": 0.310791015625}, {"start": 659.95, "end": 660.29, "word": " ال", "probability": 0.7421875}, {"start": 660.29, "end": 660.55, "word": " G", "probability": 0.896484375}, {"start": 660.55, "end": 660.95, "word": " إلى", "probability": 0.54931640625}, {"start": 660.95, "end": 661.29, "word": " G", "probability": 0.88623046875}, {"start": 661.29, "end": 661.53, "word": " على", "probability": 0.90673828125}, {"start": 661.53, "end": 662.05, "word": " الشكل", "probability": 0.95263671875}, {"start": 662.05, "end": 662.63, "word": " التالي", "probability": 0.8395182291666666}, {"start": 662.63, "end": 663.35, "word": " X", "probability": 0.5546875}, {"start": 663.35, "end": 663.85, "word": " star", "probability": 0.44970703125}, {"start": 663.85, "end": 664.17, "word": " Y", "probability": 0.9404296875}, {"start": 664.17, "end": 664.59, "word": " بده", "probability": 0.31634521484375}, {"start": 664.59, "end": 664.91, "word": " يساوي", "probability": 0.8558349609375}, {"start": 664.91, "end": 665.59, "word": " XY", "probability": 0.89697265625}, {"start": 665.59, "end": 666.25, "word": " ناقص", "probability": 0.9149169921875}, {"start": 666.25, "end": 666.63, "word": " X", "probability": 0.931640625}, {"start": 666.63, "end": 667.21, "word": " ناقص", "probability": 0.9913330078125}, {"start": 667.21, "end": 667.45, "word": " Y", "probability": 0.9892578125}, {"start": 667.45, "end": 667.89, "word": " زائد", "probability": 0.8673502604166666}, {"start": 667.89, "end": 668.33, "word": " اتنين", "probability": 0.879638671875}, {"start": 668.33, "end": 669.15, "word": " يبقى", "probability": 0.9381103515625}, {"start": 669.15, "end": 669.61, "word": " عملية", "probability": 0.9866536458333334}, {"start": 669.61, "end": 670.07, "word": " ضرب", "probability": 0.990478515625}, {"start": 670.07, "end": 670.67, "word": " و", "probability": 0.89453125}, {"start": 670.67, "end": 671.25, "word": " طرح", "probability": 0.8668619791666666}, {"start": 671.25, "end": 671.63, "word": " و", "probability": 0.31201171875}, {"start": 671.63, "end": 672.21, "word": " جمع", "probability": 0.8522135416666666}, {"start": 672.21, "end": 672.51, "word": " في", "probability": 0.81591796875}, {"start": 672.51, "end": 672.83, "word": " آن", "probability": 0.57965087890625}, {"start": 672.83, "end": 673.29, "word": " واحد", "probability": 0.97998046875}, {"start": 673.29, "end": 673.51, "word": " من", "probability": 0.6376953125}, {"start": 673.51, "end": 674.05, "word": " هذه", "probability": 0.4140625}, {"start": 674.05, "end": 674.59, "word": " ال", "probability": 0.92724609375}, {"start": 674.59, "end": 675.11, "word": " star", "probability": 0.501953125}, {"start": 675.11, "end": 676.13, "word": " عرفتها", "probability": 0.804443359375}, {"start": 676.13, "end": 676.43, "word": " بهذه", "probability": 0.958984375}, {"start": 676.43, "end": 676.89, "word": " الطريقة", "probability": 0.9855143229166666}, {"start": 676.89, "end": 677.43, "word": " أنا", "probability": 0.541015625}, {"start": 677.43, "end": 678.27, "word": " أدعي", "probability": 0.8009033203125}], "temperature": 1.0}, {"id": 28, "seek": 69287, "start": 688.25, "end": 692.87, "text": "السبب اذا طلع هذا ال element", "tokens": [6027, 3794, 3555, 3555, 1975, 15730, 23032, 1211, 3615, 23758, 2423, 4478], "avg_logprob": -0.706129789352417, "compression_ratio": 0.9166666666666666, "no_speech_prob": 0.0, "words": [{"start": 688.25, "end": 689.53, "word": "السبب", "probability": 0.466583251953125}, {"start": 689.53, "end": 690.81, "word": " اذا", "probability": 0.56597900390625}, {"start": 690.81, "end": 691.27, "word": " طلع", "probability": 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"temperature": 1.0}, {"id": 31, "seek": 75843, "start": 734.85, "end": 758.43, "text": "عسب الـ definition تبع الـ G ماخد two elements موجودات في G يبقى الـ two elements كل واحد يوم أكبر من مين؟ من الواحد طيب هذا معناته ان ال X greater than one and ال Y ناقص واحد أكبر من مين؟ من ال zero إذا هذا ال term موجب و الله سالم", "tokens": [3615, 35457, 2423, 39184, 7123, 6055, 3555, 3615, 2423, 39184, 460, 3714, 47283, 3215, 732, 4959, 3714, 29245, 23328, 9307, 8978, 460, 7251, 3555, 4587, 7578, 2423, 39184, 732, 4959, 28242, 36764, 24401, 7251, 20498, 5551, 4117, 26890, 9154, 3714, 9957, 22807, 9154, 2423, 14407, 24401, 23032, 1829, 3555, 23758, 20449, 8315, 47395, 16472, 2423, 1783, 5044, 813, 472, 293, 2423, 398, 8717, 995, 4587, 9381, 36764, 24401, 5551, 4117, 26890, 9154, 3714, 9957, 22807, 9154, 2423, 4018, 11933, 15730, 23758, 2423, 1433, 3714, 29245, 3555, 4032, 21984, 8608, 45340], "avg_logprob": -0.2359203257403531, "compression_ratio": 1.6682464454976302, "no_speech_prob": 0.0, 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{"start": 752.21, "end": 752.63, "word": " واحد", "probability": 0.993896484375}, {"start": 752.63, "end": 753.11, "word": " أكبر", "probability": 0.8916015625}, {"start": 753.11, "end": 753.33, "word": " من", "probability": 0.98193359375}, {"start": 753.33, "end": 754.41, "word": " مين؟", "probability": 0.9156901041666666}, {"start": 754.41, "end": 755.11, "word": " من", "probability": 0.9833984375}, {"start": 755.11, "end": 755.33, "word": " ال", "probability": 0.93310546875}, {"start": 755.33, "end": 755.59, "word": " zero", "probability": 0.5615234375}, {"start": 755.59, "end": 756.07, "word": " إذا", "probability": 0.699462890625}, {"start": 756.07, "end": 756.57, "word": " هذا", "probability": 0.818359375}, {"start": 756.57, "end": 756.79, "word": " ال", "probability": 0.884765625}, {"start": 756.79, "end": 757.13, "word": " term", "probability": 0.87060546875}, {"start": 757.13, "end": 757.71, "word": " موجب", "probability": 0.8523763020833334}, {"start": 757.71, "end": 757.85, "word": " و", "probability": 0.301513671875}, {"start": 757.85, "end": 757.97, "word": " الله", "probability": 0.9716796875}, {"start": 757.97, "end": 758.43, "word": " سالم", "probability": 0.746337890625}], "temperature": 1.0}, {"id": 32, "seek": 78694, "start": 760.62, "end": 786.94, "text": "أكبر من Zero موجب ولا عمره حتى بيصير Zero يعني لا Zero ولا سالب هذا موجب طب لو مسكت هذا الرقم الموجب وضربته في ال inequality هذه بتتغير ولا بيظلها زي ما هي يعني الأكبر من هذه بتتغير ولا بتغير إلى أقل منه ولا بتظل أكبر منه يبقى بدي أمسك ال term هذا و أضربه في ال inequality هذه", "tokens": [10721, 4117, 26890, 9154, 17182, 3714, 29245, 3555, 49429, 6225, 29973, 3224, 11331, 49975, 4724, 1829, 9381, 13546, 17182, 37495, 22653, 20193, 17182, 49429, 8608, 6027, 3555, 23758, 3714, 29245, 3555, 23032, 3555, 45164, 47524, 4117, 2655, 23758, 34892, 4587, 2304, 9673, 29245, 3555, 4032, 11242, 25513, 47395, 8978, 2423, 16970, 29538, 39894, 2655, 17082, 13546, 49429, 4724, 1829, 19913, 1211, 11296, 30767, 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{"start": 774.36, "end": 774.54, "word": " ما", "probability": 0.912109375}, {"start": 774.54, "end": 774.86, "word": " هي", "probability": 0.88720703125}, {"start": 774.86, "end": 776.02, "word": " يعني", "probability": 0.755859375}, {"start": 776.02, "end": 776.86, "word": " الأكبر", "probability": 0.94921875}, {"start": 776.86, "end": 777.22, "word": " من", "probability": 0.99267578125}, {"start": 777.22, "end": 777.54, "word": " هذه", "probability": 0.615234375}, {"start": 777.54, "end": 778.08, "word": " بتتغير", "probability": 0.9720458984375}, {"start": 778.08, "end": 778.36, "word": " ولا", "probability": 0.69677734375}, {"start": 778.36, "end": 779.28, "word": " بتغير", "probability": 0.7996419270833334}, {"start": 779.28, "end": 779.54, "word": " إلى", "probability": 0.75146484375}, {"start": 779.54, "end": 780.06, "word": " أقل", "probability": 0.9752604166666666}, {"start": 780.06, "end": 780.3, "word": " منه", "probability": 0.92041015625}, {"start": 780.3, "end": 780.44, "word": " ولا", "probability": 0.935546875}, {"start": 780.44, "end": 780.76, "word": " بتظل", "probability": 0.7693684895833334}, {"start": 780.76, "end": 781.14, "word": " أكبر", "probability": 0.9689127604166666}, {"start": 781.14, "end": 781.94, "word": " منه", "probability": 0.987060546875}, {"start": 781.94, "end": 782.56, "word": " يبقى", "probability": 0.9154052734375}, {"start": 782.56, "end": 782.86, "word": " بدي", "probability": 0.8857421875}, {"start": 782.86, "end": 783.38, "word": " أمسك", "probability": 0.9410400390625}, {"start": 783.38, "end": 783.58, "word": " ال", "probability": 0.94677734375}, {"start": 783.58, "end": 783.82, "word": " term", "probability": 0.939453125}, {"start": 783.82, "end": 784.18, "word": " هذا", "probability": 0.912109375}, {"start": 784.18, "end": 784.34, "word": " و", "probability": 0.94287109375}, {"start": 784.34, "end": 784.86, "word": " أضربه", "probability": 0.8984375}, {"start": 784.86, "end": 785.22, "word": " في", "probability": 0.59375}, {"start": 785.22, "end": 785.56, "word": " ال", "probability": 0.87158203125}, {"start": 785.56, "end": 786.04, "word": " inequality", "probability": 0.94921875}, {"start": 786.04, "end": 786.94, "word": " هذه", "probability": 0.91845703125}], "temperature": 1.0}, {"id": 33, "seek": 80978, "start": 787.28, "end": 809.78, "text": "يبقى بدي اشوف هذا ايش بيعطينا يبقى مشان اوضح لك الصورة بدي اقول لك multi apply the inequality المتباينة x greater than one by y minus one we get", "tokens": [1829, 3555, 4587, 7578, 4724, 16254, 1975, 8592, 38688, 23758, 1975, 1829, 8592, 4724, 1829, 3615, 9566, 1829, 8315, 7251, 3555, 4587, 7578, 37893, 7649, 1975, 2407, 11242, 5016, 5296, 4117, 31767, 13063, 3660, 4724, 16254, 1975, 39648, 5296, 4117, 4825, 3079, 264, 16970, 9673, 2655, 3555, 995, 9957, 3660, 2031, 5044, 813, 472, 538, 288, 3175, 472, 321, 483], "avg_logprob": -0.2715163836713697, "compression_ratio": 1.3121019108280254, "no_speech_prob": 0.0, "words": [{"start": 787.28, "end": 787.76, "word": "يبقى", "probability": 0.7889404296875}, {"start": 787.76, "end": 788.04, "word": " بدي", "probability": 0.2783203125}, {"start": 788.04, "end": 788.38, "word": " اشوف", "probability": 0.762939453125}, {"start": 788.38, "end": 788.68, "word": " هذا", "probability": 0.390625}, {"start": 788.68, "end": 789.02, "word": " ايش", "probability": 0.77587890625}, {"start": 789.02, "end": 789.7, "word": " بيعطينا", "probability": 0.8912760416666666}, {"start": 789.7, "end": 790.16, "word": " يبقى", "probability": 0.83544921875}, {"start": 790.16, "end": 790.68, "word": " مشان", "probability": 0.691650390625}, {"start": 790.68, "end": 791.1, "word": " اوضح", "probability": 0.92529296875}, {"start": 791.1, "end": 791.36, "word": " لك", "probability": 0.664306640625}, {"start": 791.36, "end": 792.08, "word": " الصورة", "probability": 0.9801432291666666}, {"start": 792.08, "end": 792.6, "word": " بدي", "probability": 0.79931640625}, {"start": 792.6, "end": 792.92, "word": " اقول", "probability": 0.9130859375}, {"start": 792.92, "end": 793.24, "word": " لك", "probability": 0.85107421875}, {"start": 793.24, "end": 794.0, "word": " multi", "probability": 0.4833984375}, {"start": 794.0, "end": 795.82, "word": " apply", "probability": 0.383056640625}, {"start": 795.82, "end": 798.1, "word": " the", "probability": 0.685546875}, {"start": 798.1, "end": 799.8, "word": " inequality", "probability": 0.865234375}, {"start": 799.8, "end": 803.56, "word": " المتباينة", "probability": 0.9151204427083334}, {"start": 803.56, "end": 804.34, "word": " x", "probability": 0.6552734375}, {"start": 804.34, "end": 805.1, "word": " greater", "probability": 0.66357421875}, {"start": 805.1, "end": 805.62, "word": " than", "probability": 0.9267578125}, {"start": 805.62, "end": 806.0, "word": " one", "probability": 0.7080078125}, {"start": 806.0, "end": 806.82, "word": " by", "probability": 0.9111328125}, {"start": 806.82, "end": 807.8, "word": " y", "probability": 0.9453125}, {"start": 807.8, "end": 808.32, "word": " minus", "probability": 0.95947265625}, {"start": 808.32, "end": 808.86, "word": " one", "probability": 0.951171875}, {"start": 808.86, "end": 809.16, "word": " we", "probability": 0.87060546875}, {"start": 809.16, "end": 809.78, "word": " get", "probability": 0.94140625}], "temperature": 1.0}, {"id": 34, "seek": 83987, "start": 810.45, "end": 839.87, "text": "بنحصل على يبقى هذا ال X في Y minus ال one أكبر من ال Y minus ال one مظبوط؟ طيب، إيش رأيك؟ بدي أفك الطرف الشمال يبقى XY ناقص X إيش رأيك؟ هجيب ال Y على الشجة التانية ناقص Y أكبر من اللي هو سالب واحد", "tokens": [3555, 1863, 5016, 36520, 15844, 7251, 3555, 4587, 7578, 23758, 2423, 1783, 8978, 398, 3175, 2423, 472, 5551, 4117, 26890, 9154, 2423, 398, 3175, 2423, 472, 3714, 19913, 3555, 2407, 9566, 22807, 23032, 1829, 3555, 12399, 11933, 1829, 8592, 12602, 10721, 1829, 4117, 22807, 4724, 16254, 5551, 5172, 4117, 41950, 28480, 25124, 2304, 6027, 7251, 3555, 4587, 7578, 48826, 8717, 995, 4587, 9381, 1783, 11933, 1829, 8592, 12602, 10721, 1829, 4117, 22807, 8032, 7435, 1829, 3555, 2423, 398, 15844, 25124, 7435, 3660, 16712, 7649, 10632, 8717, 995, 4587, 9381, 398, 5551, 4117, 26890, 9154, 13672, 1829, 31439, 8608, 6027, 3555, 36764, 24401], "avg_logprob": -0.18279732980774444, "compression_ratio": 1.7365591397849462, "no_speech_prob": 0.0, "words": [{"start": 810.45, "end": 811.27, "word": "بنحصل", "probability": 0.82177734375}, {"start": 811.27, "end": 811.69, "word": " على", "probability": 0.86376953125}, {"start": 811.69, "end": 812.97, "word": " يبقى", "probability": 0.9149169921875}, {"start": 812.97, "end": 813.33, "word": " هذا", "probability": 0.88623046875}, {"start": 813.33, "end": 813.63, "word": " ال", "probability": 0.9189453125}, {"start": 813.63, "end": 813.97, "word": " X", "probability": 0.4453125}, {"start": 813.97, "end": 814.65, "word": " في", "probability": 0.97412109375}, {"start": 814.65, "end": 815.09, "word": " Y", "probability": 0.98095703125}, {"start": 815.09, "end": 816.19, "word": " minus", "probability": 0.54833984375}, {"start": 816.19, "end": 816.59, "word": " ال", "probability": 0.9111328125}, {"start": 816.59, "end": 816.87, "word": " one", "probability": 0.41455078125}, {"start": 816.87, "end": 818.09, "word": " أكبر", "probability": 0.9012044270833334}, {"start": 818.09, "end": 818.41, "word": " من", "probability": 0.99365234375}, {"start": 818.41, "end": 818.69, "word": " ال", "probability": 0.54833984375}, {"start": 818.69, "end": 818.93, "word": " Y", "probability": 0.96533203125}, {"start": 818.93, "end": 819.39, "word": " minus", "probability": 0.939453125}, {"start": 819.39, "end": 819.69, "word": " ال", "probability": 0.9462890625}, {"start": 819.69, "end": 819.91, "word": " one", "probability": 0.9462890625}, {"start": 819.91, "end": 824.31, "word": " مظبوط؟", "probability": 0.740966796875}, {"start": 824.31, "end": 825.13, "word": " طيب،", "probability": 0.848388671875}, {"start": 825.13, "end": 825.29, "word": " إيش", "probability": 0.7008870442708334}, {"start": 825.29, "end": 825.61, "word": " رأيك؟", "probability": 0.824462890625}, {"start": 825.61, "end": 825.83, "word": " بدي", "probability": 0.521240234375}, {"start": 825.83, "end": 826.15, "word": " أفك", "probability": 0.89599609375}, {"start": 826.15, "end": 826.61, "word": " الطرف", "probability": 0.7091064453125}, {"start": 826.61, "end": 827.33, "word": " الشمال", "probability": 0.98291015625}, {"start": 827.33, "end": 828.63, "word": " يبقى", "probability": 0.96435546875}, {"start": 828.63, "end": 829.45, "word": " XY", "probability": 0.662109375}, {"start": 829.45, "end": 830.55, "word": " ناقص", "probability": 0.9359130859375}, {"start": 830.55, "end": 831.01, "word": " X", "probability": 0.99267578125}, {"start": 831.01, "end": 831.85, "word": " إيش", "probability": 0.87109375}, {"start": 831.85, "end": 832.19, "word": " رأيك؟", "probability": 0.96259765625}, {"start": 832.19, "end": 832.53, "word": " هجيب", "probability": 0.898193359375}, {"start": 832.53, "end": 832.63, "word": " ال", "probability": 0.97607421875}, {"start": 832.63, "end": 832.81, "word": " Y", "probability": 0.978515625}, {"start": 832.81, "end": 833.05, "word": " على", "probability": 0.83544921875}, {"start": 833.05, "end": 833.57, "word": " الشجة", "probability": 0.6563313802083334}, {"start": 833.57, "end": 834.15, "word": " التانية", "probability": 0.9869791666666666}, {"start": 834.15, "end": 835.51, "word": " ناقص", "probability": 0.9912109375}, {"start": 835.51, "end": 836.03, "word": " Y", "probability": 0.994140625}, {"start": 836.03, "end": 837.41, "word": " أكبر", "probability": 0.9705403645833334}, {"start": 837.41, "end": 838.09, "word": " من", "probability": 0.9970703125}, {"start": 838.09, "end": 838.73, "word": " اللي", "probability": 0.757080078125}, {"start": 838.73, "end": 838.97, "word": " هو", "probability": 0.97998046875}, {"start": 838.97, "end": 839.51, "word": " سالب", "probability": 0.76708984375}, {"start": 839.51, "end": 839.87, "word": " واحد", "probability": 0.950439453125}], "temperature": 1.0}, {"id": 35, "seek": 84926, "start": 843.3, "end": 849.26, "text": "طيب ايش رايك لو اضفت للطرفين اتنين؟", "tokens": [9566, 1829, 3555, 1975, 1829, 8592, 12602, 47302, 4117, 45164, 1975, 11242, 5172, 2655, 24976, 9566, 28480, 9957, 1975, 2655, 1863, 9957, 22807], "avg_logprob": -0.16259766121705374, "compression_ratio": 1.0491803278688525, "no_speech_prob": 0.0, "words": [{"start": 843.3000000000001, "end": 844.7, "word": "طيب", "probability": 0.92431640625}, {"start": 844.7, "end": 845.54, "word": " ايش", "probability": 0.6156412760416666}, {"start": 845.54, "end": 846.12, "word": " رايك", "probability": 0.8629557291666666}, {"start": 846.12, "end": 846.72, "word": " لو", "probability": 0.9482421875}, {"start": 846.72, "end": 847.44, "word": " اضفت", "probability": 0.9290771484375}, {"start": 847.44, "end": 848.26, "word": " للطرفين", "probability": 0.93798828125}, {"start": 848.26, "end": 849.26, "word": " اتنين؟", "probability": 0.94228515625}], "temperature": 1.0}, {"id": 36, "seek": 87773, "start": 850.53, "end": 877.73, "text": "مرة واحدة بضيف رقم هنا زي ما اضيف رقم هنا عادي جدا واتنين positive positive ولا negative في حالة الجامعة ماتفرجش عندي المشكلة في حالة الضرب او القسمة يبقى هنا لو اضفت اتنين بيصير x في y ناقص x ناقص y زائدي اتنين اكبر من قداش اضفت اتنين للطرفين طب الطرف هذا مش هو هذا", "tokens": [2304, 25720, 36764, 24401, 3660, 4724, 11242, 33911, 12602, 4587, 2304, 34105, 30767, 1829, 19446, 1975, 11242, 33911, 12602, 4587, 2304, 34105, 6225, 995, 16254, 10874, 28259, 4032, 9307, 1863, 9957, 3353, 3353, 49429, 3671, 8978, 11331, 6027, 3660, 25724, 10943, 27884, 3714, 9307, 5172, 47341, 8592, 18871, 16254, 9673, 8592, 28820, 3660, 8978, 11331, 6027, 3660, 6024, 114, 25513, 1975, 2407, 25062, 38251, 3660, 7251, 3555, 4587, 7578, 34105, 45164, 1975, 11242, 5172, 2655, 1975, 2655, 1863, 9957, 4724, 1829, 9381, 13546, 2031, 8978, 288, 8717, 995, 4587, 9381, 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"probability": 0.8333333333333334}, {"start": 853.17, "end": 853.53, "word": " رقم", "probability": 0.9762369791666666}, {"start": 853.53, "end": 853.73, "word": " هنا", "probability": 0.97412109375}, {"start": 853.73, "end": 854.05, "word": " عادي", "probability": 0.92041015625}, {"start": 854.05, "end": 854.43, "word": " جدا", "probability": 0.986572265625}, {"start": 854.43, "end": 855.31, "word": " واتنين", "probability": 0.78289794921875}, {"start": 855.31, "end": 855.85, "word": " positive", "probability": 0.89599609375}, {"start": 855.85, "end": 856.27, "word": " positive", "probability": 0.50146484375}, {"start": 856.27, "end": 856.49, "word": " ولا", "probability": 0.39306640625}, {"start": 856.49, "end": 856.85, "word": " negative", "probability": 0.91064453125}, {"start": 856.85, "end": 857.07, "word": " في", "probability": 0.88525390625}, {"start": 857.07, "end": 857.31, "word": " حالة", "probability": 0.8572591145833334}, {"start": 857.31, "end": 857.59, "word": " 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0.9217529296875}, {"start": 862.99, "end": 863.31, "word": " اتنين", "probability": 0.982421875}, {"start": 863.31, "end": 863.83, "word": " بيصير", "probability": 0.8465576171875}, {"start": 863.83, "end": 864.29, "word": " x", "probability": 0.55615234375}, {"start": 864.29, "end": 865.19, "word": " في", "probability": 0.96435546875}, {"start": 865.19, "end": 865.67, "word": " y", "probability": 0.96337890625}, {"start": 865.67, "end": 866.81, "word": " ناقص", "probability": 0.96875}, {"start": 866.81, "end": 867.23, "word": " x", "probability": 0.97216796875}, {"start": 867.23, "end": 868.27, "word": " ناقص", "probability": 0.9903564453125}, {"start": 868.27, "end": 868.77, "word": " y", "probability": 0.99267578125}, {"start": 868.77, "end": 869.67, "word": " زائدي", "probability": 0.6920572916666666}, {"start": 869.67, "end": 870.25, "word": " اتنين", "probability": 0.9647216796875}, {"start": 870.25, "end": 871.17, "word": " اكبر", "probability": 0.9493815104166666}, {"start": 871.17, "end": 871.37, "word": " من", "probability": 0.978515625}, {"start": 871.37, "end": 871.99, "word": " قداش", "probability": 0.7955729166666666}, {"start": 871.99, "end": 873.39, "word": " اضفت", "probability": 0.974609375}, {"start": 873.39, "end": 873.83, "word": " اتنين", "probability": 0.9765625}, {"start": 873.83, "end": 874.71, "word": " للطرفين", "probability": 0.968505859375}, {"start": 874.71, "end": 875.31, "word": " طب", "probability": 0.912841796875}, {"start": 875.31, "end": 875.81, "word": " الطرف", "probability": 0.95263671875}, {"start": 875.81, "end": 876.33, "word": " هذا", "probability": 0.90869140625}, {"start": 876.33, "end": 877.15, "word": " مش", "probability": 0.97607421875}, {"start": 877.15, "end": 877.37, "word": " هو", "probability": 0.94677734375}, {"start": 877.37, "end": 877.73, "word": " هذا", "probability": 0.9853515625}], "temperature": 1.0}, {"id": 37, "seek": 90827, "start": 878.97, "end": 908.27, "text": "يبقى star العدد اللي عندي هذا أكبر من 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977.9, "word": " ضربت", "probability": 0.9845377604166666}, {"start": 977.9, "end": 978.52, "word": " عنصر", "probability": 0.9300130208333334}, {"start": 978.52, "end": 978.64, "word": " في", "probability": 0.90771484375}, {"start": 978.64, "end": 979.52, "word": " معكوسه", "probability": 0.7318115234375}, {"start": 979.52, "end": 980.0, "word": " بدي", "probability": 0.6109619140625}, {"start": 980.0, "end": 980.4, "word": " يطين", "probability": 0.547027587890625}, {"start": 980.4, "end": 980.8, "word": " من", "probability": 0.86865234375}, {"start": 980.8, "end": 981.9, "word": " عنصر", "probability": 0.93603515625}, {"start": 981.9, "end": 982.6, "word": " المحايد", "probability": 0.9683837890625}, {"start": 982.6, "end": 982.76, "word": " ال", "probability": 0.73046875}, {"start": 982.76, "end": 983.44, "word": " identity", "probability": 0.87060546875}, {"start": 983.44, "end": 984.06, "word": " element", "probability": 0.97705078125}, {"start": 984.06, "end": 984.34, "word": " لو", "probability": 0.88134765625}, {"start": 984.34, "end": 985.08, "word": " تحققت", "probability": 0.9476318359375}, {"start": 985.08, "end": 985.68, "word": " الشروط", "probability": 0.8995768229166666}, {"start": 985.68, "end": 985.96, "word": " هذه", "probability": 0.8310546875}, {"start": 985.96, "end": 986.84, "word": " التلاتة", "probability": 0.97216796875}, {"start": 986.84, "end": 987.36, "word": " بقول", "probability": 0.8916015625}, {"start": 987.36, "end": 987.84, "word": " يبقى", "probability": 0.9608154296875}, {"start": 987.84, "end": 988.26, "word": " الجيل", "probability": 0.683837890625}, {"start": 988.26, "end": 988.4, "word": " اللي", "probability": 0.929931640625}, {"start": 988.4, "end": 988.82, "word": " عندي", "probability": 0.796142578125}, {"start": 988.82, "end": 989.52, "word": " is", "probability": 0.9033203125}, {"start": 989.52, "end": 990.02, "word": " a", "probability": 0.9775390625}, {"start": 990.02, "end": 990.46, "word": " group", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 42, "seek": 101683, "start": 990.69, "end": 1016.83, "text": "الكلام اللى سمعته بناروح نكتبه لإنه كل ال section مبني على مين على الكلمتين اللى سمعتهم يبقى بداجي الى definition يبقى definition let ال g be a non empty non empty set", "tokens": [6027, 28820, 10943, 13672, 7578, 8608, 2304, 34268, 3224, 4724, 8315, 32887, 5016, 8717, 4117, 2655, 3555, 3224, 5296, 28814, 1863, 3224, 28242, 2423, 3541, 3714, 3555, 22653, 15844, 3714, 9957, 15844, 33251, 19528, 2655, 9957, 13672, 7578, 8608, 2304, 34268, 16095, 7251, 3555, 4587, 7578, 47525, 26108, 1829, 2423, 7578, 7123, 7251, 3555, 4587, 7578, 7123, 718, 2423, 290, 312, 257, 2107, 6707, 2107, 6707, 992], "avg_logprob": -0.22529870600384824, "compression_ratio": 1.6339869281045751, "no_speech_prob": 0.0, "words": [{"start": 990.69, "end": 991.57, "word": "الكلام", "probability": 0.86962890625}, {"start": 991.57, "end": 991.73, "word": " اللى", "probability": 0.828857421875}, {"start": 991.73, "end": 992.39, "word": " سمعته", "probability": 0.983642578125}, {"start": 992.39, "end": 993.01, "word": " بناروح", "probability": 0.7071533203125}, {"start": 993.01, "end": 993.53, "word": " نكتبه", "probability": 0.979296875}, {"start": 993.53, "end": 993.93, "word": " لإنه", "probability": 0.7232666015625}, {"start": 993.93, "end": 994.17, "word": " كل", "probability": 0.958984375}, {"start": 994.17, "end": 994.39, "word": " ال", "probability": 0.83203125}, {"start": 994.39, "end": 994.75, "word": " section", "probability": 0.81103515625}, {"start": 994.75, "end": 995.29, "word": " مبني", "probability": 0.9510091145833334}, {"start": 995.29, "end": 995.87, "word": " على", "probability": 0.8564453125}, {"start": 995.87, "end": 996.15, "word": " مين", "probability": 0.5863037109375}, {"start": 996.15, "end": 996.63, "word": " على", "probability": 0.54345703125}, {"start": 996.63, "end": 997.79, "word": " الكلمتين", "probability": 0.8824462890625}, {"start": 997.79, "end": 998.15, "word": " اللى", "probability": 0.9482421875}, {"start": 998.15, "end": 998.77, "word": " سمعتهم", "probability": 0.931396484375}, {"start": 998.77, "end": 999.49, "word": " يبقى", "probability": 0.9674072265625}, {"start": 999.49, "end": 1000.05, "word": " بداجي", "probability": 0.538818359375}, {"start": 1000.05, "end": 1000.37, "word": " الى", "probability": 0.708984375}, {"start": 1000.37, "end": 1001.17, "word": " definition", "probability": 0.9296875}, {"start": 1001.17, "end": 1002.49, "word": " يبقى", "probability": 0.902587890625}, {"start": 1002.49, "end": 1003.53, "word": " definition", "probability": 0.93115234375}, {"start": 1003.53, "end": 1005.85, "word": " let", "probability": 0.8701171875}, {"start": 1005.85, "end": 1007.33, "word": " ال", "probability": 0.44970703125}, {"start": 1007.33, "end": 1007.73, "word": " g", "probability": 0.576171875}, {"start": 1007.73, "end": 1009.37, "word": " be", "probability": 0.62060546875}, {"start": 1009.37, "end": 1010.51, "word": " a", "probability": 0.98681640625}, {"start": 1010.51, "end": 1011.15, "word": " non", "probability": 0.84033203125}, {"start": 1011.15, "end": 1012.85, "word": " empty", "probability": 0.666015625}, {"start": 1012.85, "end": 1014.75, "word": " non", "probability": 0.66357421875}, {"start": 1014.75, "end": 1015.65, "word": " empty", "probability": 0.68310546875}, {"start": 1015.65, "end": 1016.83, "word": " set", "probability": 0.95751953125}], "temperature": 1.0}, {"id": 43, "seek": 104483, "start": 1018.88, "end": 1044.84, "text": "and let a star be a binary operation on اللي هو g على set g then", "tokens": [474, 718, 257, 3543, 312, 257, 17434, 6916, 322, 13672, 1829, 31439, 290, 15844, 992, 290, 550], "avg_logprob": -0.3476562367545234, "compression_ratio": 0.9733333333333334, "no_speech_prob": 0.0, "words": [{"start": 1018.88, "end": 1019.66, "word": "and", "probability": 0.356689453125}, {"start": 1019.66, "end": 1021.48, "word": " let", "probability": 0.90576171875}, {"start": 1021.48, "end": 1023.44, "word": " a", "probability": 0.34130859375}, {"start": 1023.44, "end": 1023.98, "word": " star", "probability": 0.77783203125}, {"start": 1023.98, "end": 1026.28, "word": " be", "probability": 0.84130859375}, {"start": 1026.28, "end": 1029.84, "word": " a", "probability": 0.984375}, {"start": 1029.84, "end": 1030.82, "word": " binary", "probability": 0.8515625}, {"start": 1030.82, "end": 1037.64, "word": " operation", "probability": 0.962890625}, {"start": 1037.64, "end": 1038.48, "word": " on", "probability": 0.642578125}, {"start": 1038.48, "end": 1040.04, "word": " اللي", "probability": 0.7249755859375}, {"start": 1040.04, "end": 1040.4, "word": " هو", "probability": 0.98291015625}, {"start": 1040.4, "end": 1040.78, "word": " g", "probability": 0.496337890625}, {"start": 1040.78, "end": 1042.08, "word": " على", "probability": 0.77734375}, {"start": 1042.08, "end": 1042.84, "word": " set", "probability": 0.548828125}, {"start": 1042.84, "end": 1043.6, "word": " g", "probability": 0.76123046875}, {"start": 1043.6, "end": 1044.84, "word": " then", "probability": 0.79736328125}], "temperature": 1.0}, {"id": 44, "seek": 107075, "start": 1047.23, "end": 1070.75, "text": "ال جي والستار مع بعض هدول يعني الست جي والستار عملية عليها هدى is called a group بنسميها مجموعة if the following properties", "tokens": [6027, 10874, 1829, 16070, 14851, 9640, 20449, 45030, 11242, 8032, 3215, 12610, 37495, 22653, 2423, 14851, 10874, 1829, 16070, 14851, 9640, 6225, 42213, 10632, 25894, 11296, 8032, 3215, 7578, 307, 1219, 257, 1594, 44945, 38251, 1829, 11296, 3714, 7435, 2304, 2407, 27884, 498, 264, 3480, 7221], "avg_logprob": -0.27144281914893614, "compression_ratio": 1.3880597014925373, "no_speech_prob": 0.0, "words": [{"start": 1047.23, "end": 1047.63, "word": "ال", "probability": 0.939453125}, {"start": 1047.63, "end": 1048.17, "word": " جي", "probability": 0.429534912109375}, {"start": 1048.17, "end": 1049.57, "word": " والستار", "probability": 0.6717936197916666}, {"start": 1049.57, "end": 1050.37, "word": " مع", "probability": 0.98388671875}, {"start": 1050.37, "end": 1050.97, "word": " بعض", "probability": 0.995361328125}, {"start": 1050.97, "end": 1051.55, "word": " هدول", "probability": 0.8346354166666666}, {"start": 1051.55, "end": 1052.15, "word": " يعني", "probability": 0.776611328125}, {"start": 1052.15, "end": 1052.47, "word": " الست", "probability": 0.5272216796875}, {"start": 1052.47, "end": 1052.73, "word": " جي", "probability": 0.8974609375}, {"start": 1052.73, "end": 1053.17, "word": " والستار", "probability": 0.8916015625}, {"start": 1053.17, "end": 1053.61, "word": " عملية", "probability": 0.72607421875}, {"start": 1053.61, "end": 1054.07, "word": " عليها", "probability": 0.974609375}, {"start": 1054.07, "end": 1054.71, "word": " هدى", "probability": 0.633056640625}, {"start": 1054.71, "end": 1055.55, "word": " is", "probability": 0.69921875}, {"start": 1055.55, "end": 1057.45, "word": " called", "probability": 0.9052734375}, {"start": 1057.45, "end": 1058.93, "word": " a", "probability": 0.87646484375}, {"start": 1058.93, "end": 1059.69, "word": " group", "probability": 0.95703125}, {"start": 1059.69, "end": 1062.07, "word": " بنسميها", "probability": 0.9569091796875}, {"start": 1062.07, "end": 1063.23, "word": " مجموعة", "probability": 0.9328125}, {"start": 1063.23, "end": 1064.17, "word": " if", "probability": 0.892578125}, {"start": 1064.17, "end": 1066.03, "word": " the", "probability": 0.89013671875}, {"start": 1066.03, "end": 1067.95, "word": " following", "probability": 0.890625}, {"start": 1067.95, "end": 1070.75, "word": " properties", "probability": 0.353271484375}], "temperature": 1.0}, {"id": 45, "seek": 110403, "start": 1075.71, "end": 1104.03, "text": "if the following reporters are satisfied are satisfied ايش الخواص هذه اللي هو الخاصية الأولى the star is associative associative", "tokens": [351, 264, 3480, 2275, 433, 366, 11239, 366, 11239, 1975, 1829, 8592, 33962, 2407, 33546, 29538, 13672, 1829, 31439, 33962, 33546, 10632, 16247, 12610, 7578, 264, 3543, 307, 4180, 1166, 4180, 1166], "avg_logprob": -0.2947443181818182, "compression_ratio": 1.325, "no_speech_prob": 0.0, "words": [{"start": 1075.71, "end": 1076.05, "word": "if", "probability": 0.2298583984375}, {"start": 1076.05, "end": 1076.25, "word": " the", "probability": 0.88671875}, {"start": 1076.25, "end": 1076.57, "word": " following", "probability": 0.82275390625}, {"start": 1076.57, "end": 1077.37, "word": " reporters", "probability": 0.426025390625}, {"start": 1077.37, "end": 1077.75, "word": " are", "probability": 0.95849609375}, {"start": 1077.75, "end": 1078.79, "word": " satisfied", "probability": 0.841796875}, {"start": 1078.79, "end": 1080.17, "word": " are", "probability": 0.78857421875}, {"start": 1080.17, "end": 1082.55, "word": " satisfied", "probability": 0.87353515625}, {"start": 1082.55, "end": 1088.23, "word": " ايش", "probability": 0.7667643229166666}, {"start": 1088.23, "end": 1089.09, "word": " الخواص", "probability": 0.85009765625}, {"start": 1089.09, "end": 1089.53, "word": " هذه", "probability": 0.362060546875}, {"start": 1089.53, "end": 1090.73, "word": " اللي", "probability": 0.788330078125}, {"start": 1090.73, "end": 1091.19, "word": " هو", "probability": 0.98046875}, {"start": 1091.19, "end": 1093.27, "word": " الخاصية", "probability": 0.98193359375}, {"start": 1093.27, "end": 1095.35, "word": " الأولى", "probability": 0.94482421875}, {"start": 1095.35, "end": 1095.99, "word": " the", "probability": 0.165771484375}, {"start": 1095.99, "end": 1096.61, "word": " star", "probability": 0.90771484375}, {"start": 1096.61, "end": 1098.11, "word": " is", "probability": 0.939453125}, {"start": 1098.11, "end": 1100.59, "word": " associative", "probability": 0.952880859375}, {"start": 1100.59, "end": 1104.03, "word": " associative", "probability": 0.980224609375}], "temperature": 1.0}, {"id": 46, "seek": 113076, "start": 1104.8, "end": 1130.76, "text": "that is a star b a star c بدو يساوي a star b star c لكل ال a و ال b و ال c اللي موجودة في ال group g ال condition الثاني", "tokens": [6780, 307, 257, 3543, 272, 257, 3543, 269, 47525, 2407, 7251, 3794, 995, 45865, 257, 3543, 272, 3543, 269, 5296, 28820, 2423, 257, 4032, 2423, 272, 4032, 2423, 269, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 2423, 1594, 290, 2423, 4188, 6024, 104, 7649, 1829], "avg_logprob": -0.24983016045197196, "compression_ratio": 1.412280701754386, "no_speech_prob": 0.0, "words": [{"start": 1104.8, "end": 1105.26, "word": "that", "probability": 0.2305908203125}, {"start": 1105.26, "end": 1106.08, "word": " is", "probability": 0.951171875}, {"start": 1106.08, "end": 1109.1, "word": " a", "probability": 0.6298828125}, {"start": 1109.1, "end": 1109.82, "word": " star", "probability": 0.274169921875}, {"start": 1109.82, "end": 1110.38, "word": " b", "probability": 0.92041015625}, {"start": 1110.38, "end": 1111.92, "word": " a", "probability": 0.783203125}, {"start": 1111.92, "end": 1112.4, "word": " star", "probability": 0.94482421875}, {"start": 1112.4, "end": 1113.12, "word": " c", "probability": 0.9921875}, {"start": 1113.12, "end": 1114.14, "word": " بدو", "probability": 0.2386932373046875}, {"start": 1114.14, "end": 1114.66, "word": " يساوي", "probability": 0.9503173828125}, {"start": 1114.66, "end": 1115.16, "word": " a", "probability": 0.970703125}, {"start": 1115.16, "end": 1116.1, "word": " star", "probability": 0.931640625}, {"start": 1116.1, "end": 1117.12, "word": " b", "probability": 0.90869140625}, {"start": 1117.12, "end": 1118.02, "word": " star", "probability": 0.94140625}, {"start": 1118.02, "end": 1119.0, "word": " c", "probability": 0.99169921875}, {"start": 1119.0, "end": 1122.3, "word": " لكل", "probability": 0.94970703125}, {"start": 1122.3, "end": 1123.44, "word": " ال", "probability": 0.72412109375}, {"start": 1123.44, "end": 1123.76, "word": " a", "probability": 0.947265625}, {"start": 1123.76, "end": 1123.94, "word": " و", "probability": 0.475341796875}, {"start": 1123.94, "end": 1124.14, "word": " ال", "probability": 0.86279296875}, {"start": 1124.14, "end": 1124.42, "word": " b", "probability": 0.9853515625}, {"start": 1124.42, "end": 1124.6, "word": " و", "probability": 0.95849609375}, {"start": 1124.6, "end": 1124.82, "word": " ال", "probability": 0.951171875}, {"start": 1124.82, "end": 1125.06, "word": " c", "probability": 0.9892578125}, {"start": 1125.06, "end": 1125.34, "word": " اللي", "probability": 0.83349609375}, {"start": 1125.34, "end": 1125.98, "word": " موجودة", "probability": 0.85009765625}, {"start": 1125.98, "end": 1126.54, "word": " في", "probability": 0.70947265625}, {"start": 1126.54, "end": 1126.96, "word": " ال", "probability": 0.64404296875}, {"start": 1126.96, "end": 1127.34, "word": " group", "probability": 0.9619140625}, {"start": 1127.34, "end": 1127.72, "word": " g", "probability": 0.455078125}, {"start": 1127.72, "end": 1129.14, "word": " ال", "probability": 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"probability": 0.98681640625}, {"start": 1363.9, "end": 1364.46, "word": " الموضوع", "probability": 0.8560791015625}, {"start": 1364.46, "end": 1366.22, "word": " المجموعات", "probability": 0.98291015625}, {"start": 1366.22, "end": 1367.06, "word": " الان", "probability": 0.666259765625}, {"start": 1367.06, "end": 1367.6, "word": " نعرف", "probability": 0.85107421875}, {"start": 1367.6, "end": 1368.32, "word": " المجموعة", "probability": 0.90146484375}, {"start": 1368.32, "end": 1368.46, "word": " و", "probability": 0.400146484375}, {"start": 1368.46, "end": 1368.7, "word": " بعدين", "probability": 0.885498046875}, {"start": 1368.7, "end": 1369.3, "word": " ناخد", "probability": 0.9778645833333334}], "temperature": 1.0}, {"id": 55, "seek": 139229, "start": 1369.57, "end": 1392.29, "text": "أمثلة متعددة على المجموعة بدل المثال عشر او احد مثال وبعد ذلك ناخد بعض خواص المجموعات البسيطة يبقى التعليف بيقول ما يتفترض ان G هو عبارة عن non-empty set يبقى ليست الفئة الخاوية وانما على الأقل فيها ولو عنصر واحد", "tokens": [10721, 2304, 12984, 37977, 44650, 22488, 41891, 15844, 9673, 7435, 2304, 45367, 3660, 47525, 1211, 9673, 12984, 6027, 6225, 46309, 1975, 2407, 1975, 24401, 3714, 12984, 6027, 46599, 22488, 29910, 23275, 8717, 47283, 3215, 45030, 11242, 16490, 2407, 33546, 9673, 7435, 2304, 45367, 9307, 29739, 3794, 1829, 9566, 3660, 7251, 3555, 4587, 7578, 16712, 3615, 20292, 5172, 4724, 1829, 39648, 19446, 7251, 2655, 5172, 2655, 43042, 16472, 460, 31439, 6225, 3555, 9640, 3660, 18871, 2107, 12, 4543, 88, 992, 7251, 3555, 4587, 7578, 32239, 14851, 27188, 19986, 3660, 33962, 995, 2407, 10632, 4032, 7649, 15042, 15844, 16247, 4587, 1211, 8978, 11296, 35525, 2407, 18871, 9381, 2288, 36764, 24401], "avg_logprob": -0.1704415132146363, "compression_ratio": 1.6832579185520362, "no_speech_prob": 0.0, "words": [{"start": 1369.57, "end": 1370.33, "word": "أمثلة", "probability": 0.83984375}, {"start": 1370.33, "end": 1371.11, "word": " متعددة", "probability": 0.9615885416666666}, 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"word": " فيها", "probability": 0.987548828125}, {"start": 1390.23, "end": 1390.83, "word": " ولو", "probability": 0.772216796875}, {"start": 1390.83, "end": 1391.87, "word": " عنصر", "probability": 0.8899739583333334}, {"start": 1391.87, "end": 1392.29, "word": " واحد", "probability": 0.99462890625}], "temperature": 1.0}, {"id": 56, "seek": 141114, "start": 1392.86, "end": 1411.14, "text": "and let the star be a binary operation على g الست جي معالي الstar مع بعض هدول بيكونولي a group إذا تحققت عندي ثلاثة خواص أو ثلاثة شروط", "tokens": [474, 718, 264, 3543, 312, 257, 17434, 6916, 15844, 290, 2423, 14851, 10874, 1829, 20449, 6027, 1829, 2423, 9710, 20449, 45030, 11242, 8032, 3215, 12610, 4724, 1829, 30544, 12610, 1829, 257, 1594, 11933, 15730, 6055, 5016, 4587, 38149, 18871, 16254, 38637, 1211, 5718, 104, 3660, 16490, 2407, 33546, 34051, 38637, 1211, 5718, 104, 3660, 13412, 32887, 9566], "avg_logprob": -0.2327586260849032, "compression_ratio": 1.3006535947712419, "no_speech_prob": 0.0, 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1401.24, "end": 1401.94, "word": " معالي", "probability": 0.6885579427083334}, {"start": 1401.94, "end": 1402.46, "word": " الstar", "probability": 0.687744140625}, {"start": 1402.46, "end": 1402.8, "word": " مع", "probability": 0.978515625}, {"start": 1402.8, "end": 1403.42, "word": " بعض", "probability": 0.9921875}, {"start": 1403.42, "end": 1404.22, "word": " هدول", "probability": 0.9305013020833334}, {"start": 1404.22, "end": 1405.32, "word": " بيكونولي", "probability": 0.944140625}, {"start": 1405.32, "end": 1405.64, "word": " a", "probability": 0.41650390625}, {"start": 1405.64, "end": 1406.06, "word": " group", "probability": 0.97216796875}, {"start": 1406.06, "end": 1406.4, "word": " إذا", "probability": 0.841796875}, {"start": 1406.4, "end": 1407.26, "word": " تحققت", "probability": 0.92236328125}, {"start": 1407.26, "end": 1407.82, "word": " عندي", "probability": 0.851318359375}, {"start": 1407.82, "end": 1408.68, "word": " ثلاثة", "probability": 0.9326171875}, {"start": 1408.68, "end": 1409.22, "word": " خواص", "probability": 0.8606770833333334}, {"start": 1409.22, "end": 1409.58, "word": " أو", "probability": 0.91259765625}, {"start": 1409.58, "end": 1410.54, "word": " ثلاثة", "probability": 0.92958984375}, {"start": 1410.54, "end": 1411.14, "word": " شروط", "probability": 0.9606119791666666}], "temperature": 1.0}, {"id": 57, "seek": 142825, "start": 1411.71, "end": 1428.25, "text": "الشروط أو الخواصة دي لـ star اللي عندي is associative يبقى هي عملية إدماجية بمعنى ان a star b star c يساوي يعني بتخلي a تأثر على b في الأول حسب تعريف ال star", "tokens": [6027, 8592, 32887, 9566, 34051, 33962, 2407, 33546, 3660, 11778, 1829, 5296, 39184, 3543, 13672, 1829, 18871, 16254, 307, 4180, 1166, 7251, 3555, 4587, 7578, 39896, 6225, 42213, 10632, 11933, 40448, 26108, 10632, 4724, 2304, 3615, 1863, 7578, 16472, 257, 3543, 272, 3543, 269, 7251, 3794, 995, 45865, 37495, 22653, 39894, 9778, 20292, 257, 6055, 10721, 49115, 15844, 272, 8978, 16247, 12610, 11331, 35457, 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"end": 1417.79, "word": " يبقى", "probability": 0.81524658203125}, {"start": 1417.79, "end": 1417.97, "word": " هي", "probability": 0.72412109375}, {"start": 1417.97, "end": 1418.57, "word": " عملية", "probability": 0.9825846354166666}, {"start": 1418.57, "end": 1419.31, "word": " إدماجية", "probability": 0.89697265625}, {"start": 1419.31, "end": 1420.21, "word": " بمعنى", "probability": 0.97216796875}, {"start": 1420.21, "end": 1420.45, "word": " ان", "probability": 0.51708984375}, {"start": 1420.45, "end": 1420.75, "word": " a", "probability": 0.50048828125}, {"start": 1420.75, "end": 1421.13, "word": " star", "probability": 0.474853515625}, {"start": 1421.13, "end": 1421.35, "word": " b", "probability": 0.53662109375}, {"start": 1421.35, "end": 1421.85, "word": " star", "probability": 0.939453125}, {"start": 1421.85, "end": 1422.45, "word": " c", "probability": 0.97900390625}, {"start": 1422.45, "end": 1423.43, "word": " يساوي", "probability": 0.8935546875}, {"start": 1423.43, 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58, "seek": 145772, "start": 1428.36, "end": 1457.72, "text": "والعنصر اللى ينتج يخلّيه أثر على مين؟ على C النتيجة تماما كما لو B أثرت على C طالع عنصر جديد هذا العنصر بدأ أثر عليه بإيه لازم يكون اتنين are equal ان حدث ذلك يبقى بقوله خاصية ال associativity الصحيحة لجميع العناصر يعني لما بدأ أخد A وB وC مش بدأ اختارهم عناصر محددة فلان وفلان بدأ أخد أي عناصر بغض النظر شو شكلهم", "tokens": [2407, 6027, 3615, 1863, 9381, 2288, 13672, 7578, 7251, 29399, 7435, 7251, 9778, 1211, 11703, 1829, 3224, 5551, 49115, 15844, 3714, 9957, 22807, 15844, 383, 28239, 31371, 7435, 3660, 46811, 10943, 995, 9122, 15042, 45164, 363, 5551, 49115, 2655, 15844, 383, 23032, 6027, 3615, 18871, 9381, 2288, 10874, 16254, 3215, 23758, 18863, 1863, 9381, 2288, 47525, 10721, 5551, 49115, 47356, 4724, 28814, 1829, 3224, 5296, 31377, 2304, 7251, 30544, 1975, 2655, 1863, 9957, 366, 2681, 16472, 11331, 3215, 12984, 29910, 23275, 7251, 3555, 4587, 7578, 4724, 39648, 3224, 16490, 33546, 10632, 2423, 4180, 30142, 31767, 5016, 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"end": 1478.15, "word": " بال", "probability": 0.98046875}, {"start": 1478.15, "end": 1478.57, "word": " star", "probability": 0.10980224609375}, {"start": 1478.57, "end": 1478.97, "word": " هذه", "probability": 0.4736328125}, {"start": 1478.97, "end": 1479.99, "word": " تماما", "probability": 0.9860026041666666}, {"start": 1479.99, "end": 1480.59, "word": " كما", "probability": 0.901123046875}, {"start": 1480.59, "end": 1480.79, "word": " لو", "probability": 0.98388671875}, {"start": 1480.79, "end": 1481.35, "word": " أثرت", "probability": 0.91064453125}, {"start": 1481.35, "end": 1481.67, "word": " بال", "probability": 0.91015625}, {"start": 1481.67, "end": 1482.07, "word": " E", "probability": 0.9013671875}, {"start": 1482.07, "end": 1482.45, "word": " على", "probability": 0.86669921875}, {"start": 1482.45, "end": 1482.71, "word": " A", "probability": 0.6474609375}, {"start": 1482.71, "end": 1483.33, "word": " والنتج", "probability": 0.8538411458333334}, {"start": 1483.33, "end": 1483.73, "word": " طالع", "probability": 0.6781412760416666}, {"start": 1483.73, "end": 1483.97, "word": " ال", "probability": 0.8212890625}, {"start": 1483.97, "end": 1484.33, "word": " A", "probability": 0.7314453125}, {"start": 1484.33, "end": 1485.29, "word": " itself", "probability": 0.8134765625}], "temperature": 1.0}, {"id": 60, "seek": 151140, "start": 1485.66, "end": 1511.4, "text": "يبقى هذا اللي كنا بنسميه عنصر المحيد لا يتأثر أي element في المجموعة بهذا ال element تحت العملية star أثر عليه star بهذا العنصر ويبقى ال element كما هو يبقى إن حدث ذلك هذا بسميه عنصر المحيد او في لغة ال groups احنا هنسميه identity element اللي هو عنصر الوحدة لهذه المجموعة", "tokens": [1829, 3555, 4587, 7578, 23758, 13672, 1829, 9122, 8315, 44945, 38251, 1829, 3224, 18871, 9381, 2288, 9673, 5016, 25708, 20193, 7251, 2655, 10721, 49115, 36632, 4478, 8978, 9673, 7435, 2304, 2407, 27884, 39627, 15730, 2423, 4478, 6055, 33753, 18863, 42213, 10632, 3543, 5551, 49115, 47356, 3543, 39627, 15730, 18863, 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"probability": 0.958984375}, {"start": 1500.36, "end": 1500.58, "word": " إن", "probability": 0.7216796875}, {"start": 1500.58, "end": 1501.02, "word": " حدث", "probability": 0.9918619791666666}, {"start": 1501.02, "end": 1501.52, "word": " ذلك", "probability": 0.980712890625}, {"start": 1501.52, "end": 1501.78, "word": " هذا", "probability": 0.4228515625}, {"start": 1501.78, "end": 1502.28, "word": " بسميه", "probability": 0.9031982421875}, {"start": 1502.28, "end": 1502.78, "word": " عنصر", "probability": 0.9871419270833334}, {"start": 1502.78, "end": 1503.48, "word": " المحيد", "probability": 0.98583984375}, {"start": 1503.48, "end": 1504.12, "word": " او", "probability": 0.72216796875}, {"start": 1504.12, "end": 1504.32, "word": " في", "probability": 0.88525390625}, {"start": 1504.32, "end": 1504.66, "word": " لغة", "probability": 0.96240234375}, {"start": 1504.66, "end": 1504.78, "word": " ال", "probability": 0.8369140625}, {"start": 1504.78, "end": 1505.08, "word": " groups", "probability": 0.837890625}, {"start": 1505.08, "end": 1505.34, "word": " احنا", "probability": 0.89599609375}, {"start": 1505.34, "end": 1505.96, "word": " هنسميه", "probability": 0.91259765625}, {"start": 1505.96, "end": 1507.04, "word": " identity", "probability": 0.5283203125}, {"start": 1507.04, "end": 1508.04, "word": " element", "probability": 0.96923828125}, {"start": 1508.04, "end": 1508.58, "word": " اللي", "probability": 0.9658203125}, {"start": 1508.58, "end": 1508.76, "word": " هو", "probability": 0.97314453125}, {"start": 1508.76, "end": 1509.3, "word": " عنصر", "probability": 0.9933268229166666}, {"start": 1509.3, "end": 1509.84, "word": " الوحدة", "probability": 0.907470703125}, {"start": 1509.84, "end": 1510.48, "word": " لهذه", "probability": 0.90283203125}, {"start": 1510.48, "end": 1511.4, "word": " المجموعة", "probability": 0.95380859375}], "temperature": 1.0}, {"id": 61, "seek": 154009, "start": 1511.71, "end": 1540.09, "text": "بنضل عند ال condition التالت والاخير قال لي 4H اللي موجود في G لأي عنصر A موجود في G هلاقي عنصر تاني اسمه B موجود في G بحيث لو ضربته من اليمين او من الشمال A Star B بلاقي النتيجة هو B Star A يسوى ال identity element itself يبقى هذا بده يعطيني عنصر الوحدة نفسه", "tokens": [3555, 1863, 11242, 1211, 43242, 2423, 4188, 16712, 6027, 2655, 16070, 47283, 13546, 50239, 32239, 1017, 39, 13672, 1829, 3714, 29245, 23328, 8978, 460, 5296, 10721, 1829, 18871, 9381, 2288, 316, 3714, 29245, 23328, 8978, 460, 8032, 15040, 38436, 18871, 9381, 2288, 6055, 7649, 1829, 24525, 2304, 3224, 363, 3714, 29245, 23328, 8978, 460, 4724, 5016, 1829, 12984, 45164, 48812, 25513, 47395, 9154, 45595, 2304, 9957, 1975, 2407, 9154, 25124, 2304, 6027, 316, 5705, 363, 4724, 15040, 38436, 28239, 31371, 7435, 3660, 31439, 363, 5705, 316, 7251, 3794, 2407, 7578, 2423, 6575, 4478, 2564, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 7251, 3615, 9566, 9957, 1829, 18871, 9381, 2288, 2423, 2407, 24401, 3660, 8717, 36178, 3224], "avg_logprob": 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اوبريشن يبقى هذه بسميها group لو تحققت الشروط التلتة يبقى انا في الحقيقة عندي تلت شروط ولا اربعة", "tokens": [1211, 31377, 2304, 8717, 3555, 4587, 7578, 4724, 1829, 8315, 16572, 1975, 2407, 26890, 1829, 8592, 1863, 5551, 12610, 995, 38637, 2304, 6055, 2655, 5016, 4587, 4587, 25124, 32887, 9566, 16712, 1211, 2655, 3660, 6055, 9566, 1211, 3615, 25124, 7435, 25720, 16712, 3615, 16572, 5172, 10874, 1829, 8315, 2304, 2655, 14851, 9307, 9640, 4724, 1829, 4724, 1829, 8315, 16572, 1975, 2407, 26890, 1829, 8592, 1863, 7251, 3555, 4587, 7578, 29538, 4724, 38251, 1829, 11296, 1594, 45164, 6055, 5016, 4587, 4587, 2655, 25124, 32887, 9566, 16712, 1211, 2655, 3660, 7251, 3555, 4587, 7578, 1975, 8315, 8978, 21542, 38436, 28671, 18871, 16254, 6055, 1211, 2655, 13412, 32887, 9566, 49429, 1975, 25513, 27884], "avg_logprob": -0.27744933291598484, "compression_ratio": 1.9385474860335195, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1709.82, "end": 1710.4, "word": "لازم", "probability": 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"word": " للأعداد", "probability": 0.71807861328125}, {"start": 2054.73, "end": 2055.85, "word": " الحقيقية", "probability": 0.99267578125}, {"start": 2055.85, "end": 2056.35, "word": " ما", "probability": 0.267578125}, {"start": 2056.35, "end": 2056.47, "word": " هي", "probability": 0.8896484375}, {"start": 2056.47, "end": 2057.01, "word": " النسبية", "probability": 0.9064127604166666}, {"start": 2057.01, "end": 2057.79, "word": " والصحيها", "probability": 0.800927734375}, {"start": 2057.79, "end": 2058.13, "word": " جزء", "probability": 0.9873046875}, {"start": 2058.13, "end": 2058.29, "word": " من", "probability": 0.994140625}, {"start": 2058.29, "end": 2058.73, "word": " الأعداد", "probability": 0.9283854166666666}, {"start": 2058.73, "end": 2059.55, "word": " الحقيقية", "probability": 0.9940185546875}, {"start": 2059.55, "end": 2060.21, "word": " يبقى", "probability": 0.8140869140625}, {"start": 2060.21, "end": 2060.57, "word": " الأعداد", "probability": 0.9435221354166666}, {"start": 2060.57, "end": 2061.17, "word": " الحقيقية", "probability": 0.992431640625}, {"start": 2061.17, "end": 2061.47, "word": " لما", "probability": 0.9169921875}, {"start": 2061.47, "end": 2061.77, "word": " أقول", "probability": 0.830810546875}, {"start": 2061.77, "end": 2062.27, "word": " اتنين", "probability": 0.939208984375}, {"start": 2062.27, "end": 2062.51, "word": " زي", "probability": 0.739013671875}, {"start": 2062.51, "end": 2063.03, "word": " التلاتة", "probability": 0.8157958984375}, {"start": 2063.03, "end": 2063.23, "word": " زي", "probability": 0.9892578125}, {"start": 2063.23, "end": 2063.83, "word": " الخمسة", "probability": 0.9276123046875}, {"start": 2063.83, "end": 2064.13, "word": " هو", "probability": 0.8857421875}, {"start": 2064.13, "end": 2064.91, "word": " تلاتة", "probability": 0.9677734375}, {"start": 2064.91, "end": 2065.11, "word": " زي", "probability": 0.991455078125}, {"start": 2065.11, "end": 2065.63, "word": " الخمسة", "probability": 0.944091796875}, {"start": 2065.63, "end": 2066.21, "word": " والإنتاج", "probability": 0.7113037109375}, {"start": 2066.21, "end": 2066.65, "word": " يضيف", "probability": 0.5049235026041666}, {"start": 2066.65, "end": 2066.81, "word": " له", "probability": 0.451904296875}, {"start": 2066.81, "end": 2067.19, "word": " اتنين", "probability": 0.941162109375}, {"start": 2067.19, "end": 2067.61, "word": " عادى", "probability": 0.7179361979166666}, {"start": 2067.61, "end": 2067.87, "word": " جدا", "probability": 0.980224609375}, {"start": 2067.87, "end": 2068.17, "word": " مافيش", "probability": 0.5901692708333334}, {"start": 2068.17, "end": 2068.33, "word": " فيها", "probability": 0.78466796875}, {"start": 2068.33, "end": 2068.81, "word": " مشكلة", "probability": 0.9763997395833334}], "temperature": 1.0}, {"id": 85, "seek": 209631, "start": 2069.19, "end": 2096.31, "text": "يبقى هذه بالنسبة لل associative طب مين ال identity element في حالة الجامعة ال zero يبقى هنا is هذه النقطة الأولى النقطة الثانية النقطة الثانية ال zero is the identity element because", "tokens": [1829, 3555, 4587, 7578, 29538, 20666, 1863, 35457, 3660, 24976, 4180, 1166, 23032, 3555, 3714, 9957, 2423, 6575, 4478, 8978, 11331, 6027, 3660, 25724, 10943, 27884, 2423, 4018, 7251, 3555, 4587, 7578, 34105, 307, 29538, 28239, 47432, 3660, 16247, 12610, 7578, 28239, 47432, 3660, 6024, 104, 7649, 10632, 28239, 47432, 3660, 6024, 104, 7649, 10632, 2423, 4018, 307, 264, 6575, 4478, 570], "avg_logprob": -0.14037698223477318, "compression_ratio": 1.7088607594936709, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2069.19, "end": 2069.71, "word": "يبقى", "probability": 0.9012451171875}, {"start": 2069.71, "end": 2069.99, "word": " هذه", "probability": 0.466796875}, {"start": 2069.99, "end": 2070.41, "word": " بالنسبة", "probability": 0.927001953125}, {"start": 2070.41, "end": 2070.59, "word": " لل", "probability": 0.9296875}, {"start": 2070.59, "end": 2071.19, "word": " associative", 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هنا", "probability": 0.98583984375}, {"start": 2079.89, "end": 2080.91, "word": " is", "probability": 0.455322265625}, {"start": 2080.91, "end": 2081.35, "word": " هذه", "probability": 0.490478515625}, {"start": 2081.35, "end": 2082.17, "word": " النقطة", "probability": 0.9744466145833334}, {"start": 2082.17, "end": 2083.31, "word": " الأولى", "probability": 0.9576822916666666}, {"start": 2083.31, "end": 2084.59, "word": " النقطة", "probability": 0.9757486979166666}, {"start": 2084.59, "end": 2085.53, "word": " الثانية", "probability": 0.9757080078125}, {"start": 2085.53, "end": 2086.99, "word": " النقطة", "probability": 0.9480794270833334}, {"start": 2086.99, "end": 2087.47, "word": " الثانية", "probability": 0.978271484375}, {"start": 2087.47, "end": 2087.69, "word": " ال", "probability": 0.9169921875}, {"start": 2087.69, "end": 2088.07, "word": " zero", "probability": 0.88916015625}, {"start": 2088.07, "end": 2088.85, "word": " is", "probability": 0.943359375}, {"start": 2088.85, "end": 2089.81, "word": " the", "probability": 0.7626953125}, {"start": 2089.81, "end": 2091.53, "word": " identity", "probability": 0.9326171875}, {"start": 2091.53, "end": 2094.03, "word": " element", "probability": 0.982421875}, {"start": 2094.03, "end": 2096.31, "word": " because", "probability": 0.919921875}], "temperature": 1.0}, {"id": 86, "seek": 212423, "start": 2100.18, "end": 2124.24, "text": "الـ zero زائد ال بي مثلا يساوي بي زائد ال zero بده يساوي ال بي itself الكلام هذا for all بي اللي موجودة في z أوي q and ال a طيب النقطة التالتة", "tokens": [6027, 39184, 4018, 30767, 16373, 3215, 2423, 4724, 1829, 50113, 15040, 7251, 3794, 995, 45865, 4724, 1829, 30767, 16373, 3215, 2423, 4018, 47525, 3224, 7251, 3794, 995, 45865, 2423, 4724, 1829, 2564, 2423, 28820, 10943, 23758, 337, 439, 4724, 1829, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 710, 34051, 1829, 9505, 293, 2423, 257, 23032, 1829, 3555, 28239, 47432, 3660, 16712, 6027, 2655, 3660], "avg_logprob": -0.20853365384615385, "compression_ratio": 1.527027027027027, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2100.18, "end": 2100.66, "word": "الـ", "probability": 0.4930419921875}, {"start": 2100.66, "end": 2100.94, "word": " zero", "probability": 0.229248046875}, {"start": 2100.94, "end": 2101.94, "word": " زائد", "probability": 0.6917317708333334}, {"start": 2101.94, "end": 2102.22, "word": " ال", "probability": 0.97509765625}, {"start": 2102.22, "end": 2102.62, "word": " بي", "probability": 0.5135498046875}, {"start": 2102.62, "end": 2103.32, "word": " مثلا", "probability": 0.856201171875}, {"start": 2103.32, "end": 2104.28, "word": " يساوي", "probability": 0.847412109375}, {"start": 2104.28, "end": 2104.94, "word": " بي", "probability": 0.87841796875}, {"start": 2104.94, "end": 2105.58, "word": " زائد", "probability": 0.9327799479166666}, {"start": 2105.58, "end": 2105.8, "word": " ال", "probability": 0.9609375}, {"start": 2105.8, "end": 2106.18, "word": " zero", "probability": 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0.9644775390625}, {"start": 2116.84, "end": 2117.16, "word": " في", "probability": 0.9638671875}, {"start": 2117.16, "end": 2117.72, "word": " z", "probability": 0.451171875}, {"start": 2117.72, "end": 2118.74, "word": " أوي", "probability": 0.814208984375}, {"start": 2118.74, "end": 2119.2, "word": " q", "probability": 0.8935546875}, {"start": 2119.2, "end": 2120.62, "word": " and", "probability": 0.884765625}, {"start": 2120.62, "end": 2121.24, "word": " ال", "probability": 0.60791015625}, {"start": 2121.24, "end": 2121.56, "word": " a", "probability": 0.67236328125}, {"start": 2121.56, "end": 2123.08, "word": " طيب", "probability": 0.9344075520833334}, {"start": 2123.08, "end": 2123.66, "word": " النقطة", "probability": 0.9552408854166666}, {"start": 2123.66, "end": 2124.24, "word": " التالتة", "probability": 0.96728515625}], "temperature": 1.0}, {"id": 87, "seek": 214938, "start": 2127.08, "end": 2149.38, "text": "لو أخدت element a موجود في أي منهما من المعكوس تبعه يعني مين العدد اللي بدي أضيفه إليه يطلع من؟ يطلع zero سالم العدد يبقى هنا the inverse of", "tokens": [1211, 2407, 5551, 9778, 3215, 2655, 4478, 257, 3714, 29245, 23328, 8978, 36632, 9154, 3224, 15042, 9154, 9673, 3615, 4117, 41779, 6055, 3555, 3615, 3224, 37495, 22653, 3714, 9957, 18863, 3215, 3215, 13672, 1829, 4724, 16254, 5551, 11242, 33911, 3224, 11933, 20292, 3224, 7251, 9566, 1211, 3615, 9154, 22807, 7251, 9566, 1211, 3615, 4018, 8608, 45340, 18863, 3215, 3215, 7251, 3555, 4587, 7578, 34105, 264, 17340, 295], "avg_logprob": -0.27481617471751046, "compression_ratio": 1.4339622641509433, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2127.08, "end": 2127.46, "word": "لو", "probability": 0.6649169921875}, {"start": 2127.46, "end": 2127.86, "word": " أخدت", "probability": 0.70794677734375}, {"start": 2127.86, "end": 2128.42, "word": " element", "probability": 0.8251953125}, {"start": 2128.42, "end": 2129.26, "word": " a", "probability": 0.61083984375}, {"start": 2129.26, "end": 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"word": " of", "probability": 0.9814453125}], "temperature": 1.0}, {"id": 88, "seek": 217829, "start": 2150.19, "end": 2178.29, "text": "أي اللي موجود في الـ Z أو الـ Q and ال R is سالب A since لأن ال A زائد ناقص A يسوى ناقص A زائد A يسوى Zero لهمين ال identity element طيب نمر اتنين", "tokens": [10721, 1829, 13672, 1829, 3714, 29245, 23328, 8978, 2423, 39184, 1176, 34051, 2423, 39184, 1249, 293, 2423, 497, 307, 8608, 6027, 3555, 316, 1670, 5296, 33456, 2423, 316, 30767, 16373, 3215, 8717, 995, 4587, 9381, 316, 7251, 3794, 2407, 7578, 8717, 995, 4587, 9381, 316, 30767, 16373, 3215, 316, 7251, 3794, 2407, 7578, 17182, 5296, 16095, 9957, 2423, 6575, 4478, 23032, 1829, 3555, 8717, 29973, 1975, 2655, 1863, 9957], "avg_logprob": -0.2984375059604645, "compression_ratio": 1.4666666666666666, "no_speech_prob": 0.0, "words": [{"start": 2150.19, "end": 2150.73, "word": "أي", "probability": 0.22723388671875}, {"start": 2150.73, "end": 2151.45, "word": " اللي", "probability": 0.638427734375}, {"start": 2151.45, "end": 2151.97, "word": " موجود", "probability": 0.9827473958333334}, {"start": 2151.97, "end": 2152.21, "word": " في", "probability": 0.97119140625}, {"start": 2152.21, "end": 2152.45, "word": " الـ", "probability": 0.53216552734375}, {"start": 2152.45, "end": 2152.63, "word": " Z", "probability": 0.29736328125}, {"start": 2152.63, "end": 2153.61, "word": " أو", "probability": 0.7802734375}, {"start": 2153.61, "end": 2153.89, "word": " الـ", "probability": 0.79638671875}, {"start": 2153.89, "end": 2154.37, "word": " Q", "probability": 0.80712890625}, {"start": 2154.37, "end": 2156.01, "word": " and", "probability": 0.31005859375}, {"start": 2156.01, "end": 2156.43, "word": " ال", "probability": 0.7421875}, {"start": 2156.43, "end": 2157.03, "word": " R", "probability": 0.48193359375}, {"start": 2157.03, "end": 2158.15, "word": " is", "probability": 0.80517578125}, {"start": 2158.15, "end": 2159.45, "word": " سالب", "probability": 0.8068033854166666}, {"start": 2159.45, "end": 2160.01, "word": " A", "probability": 0.716796875}, {"start": 2160.01, "end": 2161.13, "word": " since", "probability": 0.334228515625}, {"start": 2161.13, "end": 2162.35, "word": " لأن", "probability": 0.77001953125}, {"start": 2162.35, "end": 2163.43, "word": " ال", "probability": 0.626953125}, {"start": 2163.43, "end": 2163.95, "word": " A", "probability": 0.71044921875}, {"start": 2163.95, "end": 2165.11, "word": " زائد", "probability": 0.7923177083333334}, {"start": 2165.11, "end": 2166.15, "word": " ناقص", "probability": 0.9698486328125}, {"start": 2166.15, "end": 2166.53, "word": " A", "probability": 0.9267578125}, {"start": 2166.53, "end": 2167.25, "word": " يسوى", "probability": 0.7313232421875}, {"start": 2167.25, "end": 2167.95, "word": " ناقص", "probability": 0.9844970703125}, {"start": 2167.95, "end": 2168.35, "word": " A", "probability": 0.96533203125}, {"start": 2168.35, "end": 2169.55, "word": " زائد", "probability": 0.9739583333333334}, {"start": 2169.55, "end": 2169.95, "word": " A", "probability": 0.96826171875}, {"start": 2169.95, "end": 2170.77, "word": " يسوى", "probability": 0.92578125}, {"start": 2170.77, "end": 2171.05, "word": " Zero", "probability": 0.5546875}, {"start": 2171.05, "end": 2171.79, "word": " لهمين", "probability": 0.722412109375}, {"start": 2171.79, "end": 2172.45, "word": " ال", "probability": 0.931640625}, {"start": 2172.45, "end": 2173.31, "word": " identity", "probability": 0.50146484375}, {"start": 2173.31, "end": 2174.33, "word": " element", "probability": 0.95654296875}, {"start": 2174.33, "end": 2177.49, "word": " طيب", "probability": 0.7748209635416666}, {"start": 2177.49, "end": 2177.85, "word": " نمر", "probability": 0.80322265625}, {"start": 2177.85, "end": 2178.29, "word": " اتنين", "probability": 0.89697265625}], "temperature": 1.0}, {"id": 89, "seek": 220781, "start": 2180.01, "end": 2207.81, "text": "روح ناخد مثال اخر لو أخدت الآن z و تحت عملية الضرب العادي z is not a group يبقى هذه ماهياش group under usual multiplication", "tokens": [32887, 5016, 8717, 47283, 3215, 50113, 6027, 1975, 34740, 45164, 5551, 9778, 3215, 2655, 6024, 48506, 710, 4032, 6055, 33753, 6225, 42213, 10632, 6024, 114, 25513, 18863, 995, 16254, 710, 307, 406, 257, 1594, 7251, 3555, 4587, 7578, 29538, 19446, 3224, 1829, 33599, 1594, 833, 7713, 27290], "avg_logprob": -0.19319661799818277, "compression_ratio": 1.2587412587412588, "no_speech_prob": 0.0, "words": [{"start": 2180.01, "end": 2180.51, "word": "روح", "probability": 0.6512451171875}, {"start": 2180.51, "end": 2180.89, "word": " ناخد", "probability": 0.9847005208333334}, {"start": 2180.89, "end": 2181.57, "word": " مثال", "probability": 0.9892578125}, {"start": 2181.57, "end": 2182.11, "word": " اخر", "probability": 0.785400390625}, {"start": 2182.11, "end": 2183.21, "word": " لو", "probability": 0.9306640625}, {"start": 2183.21, "end": 2183.77, "word": " أخدت", "probability": 0.88037109375}, {"start": 2183.77, "end": 2184.45, "word": " 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"probability": 0.8526611328125}, {"start": 2200.07, "end": 2200.35, "word": " هذه", "probability": 0.39501953125}, {"start": 2200.35, "end": 2201.11, "word": " ماهياش", "probability": 0.9349365234375}, {"start": 2201.11, "end": 2201.61, "word": " group", "probability": 0.9619140625}, {"start": 2201.61, "end": 2202.93, "word": " under", "probability": 0.86572265625}, {"start": 2202.93, "end": 2206.01, "word": " usual", "probability": 0.892578125}, {"start": 2206.01, "end": 2207.81, "word": " multiplication", "probability": 0.8818359375}], "temperature": 1.0}, {"id": 90, "seek": 223591, "start": 2210.89, "end": 2235.91, "text": "تحت عملية الضرب العادية ليش؟ because because if ال a موجود في z and ال a لا يسوى واحد وبحيث ال a لا يسوى واحد", "tokens": [2655, 33753, 6225, 42213, 10632, 6024, 114, 25513, 18863, 18513, 10632, 32239, 8592, 22807, 570, 570, 498, 2423, 257, 3714, 29245, 23328, 8978, 710, 293, 2423, 257, 20193, 7251, 3794, 2407, 7578, 36764, 24401, 46599, 5016, 1829, 12984, 2423, 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"word": " يطلع", "probability": 0.9913330078125}, {"start": 2253.91, "end": 2254.37, "word": " واحد", "probability": 0.990478515625}], "temperature": 1.0}, {"id": 92, "seek": 228541, "start": 2257.27, "end": 2285.41, "text": "أنا بدي في Z أنا بحكي على Z فقط أنا مقيد بال 6 بتبعتي ال 6 الأخرى ماليش علاقة فيها و مقيد بال operation اللي عندي بقدر ألاقي في الشمكانية يبقى F ال A موجودة under ال A لا تساوي واحد then there is أو there exists no element B", "tokens": [10721, 8315, 4724, 16254, 8978, 1176, 41850, 4724, 5016, 4117, 1829, 15844, 1176, 6156, 47432, 41850, 3714, 4587, 25708, 20666, 1386, 39894, 3555, 3615, 31371, 2423, 1386, 16247, 34740, 7578, 19446, 20292, 8592, 11203, 995, 28671, 8978, 11296, 4032, 3714, 4587, 25708, 20666, 6916, 13672, 1829, 18871, 16254, 4724, 28543, 2288, 5551, 15040, 38436, 8978, 25124, 2304, 41361, 10632, 7251, 3555, 4587, 7578, 479, 2423, 316, 3714, 29245, 23328, 3660, 833, 2423, 316, 20193, 6055, 3794, 995, 45865, 36764, 24401, 550, 456, 307, 34051, 456, 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"probability": 0.8440755208333334}, {"start": 2263.01, "end": 2263.21, "word": " بال", "probability": 0.94921875}, {"start": 2263.21, "end": 2263.51, "word": " 6", "probability": 0.31591796875}, {"start": 2263.51, "end": 2264.15, "word": " بتبعتي", "probability": 0.7540283203125}, {"start": 2264.15, "end": 2264.83, "word": " ال", "probability": 0.71337890625}, {"start": 2264.83, "end": 2265.03, "word": " 6", "probability": 0.50927734375}, {"start": 2265.03, "end": 2265.41, "word": " الأخرى", "probability": 0.8782552083333334}, {"start": 2265.41, "end": 2265.63, "word": " ماليش", "probability": 0.7198079427083334}, {"start": 2265.63, "end": 2265.95, "word": " علاقة", "probability": 0.98193359375}, {"start": 2265.95, "end": 2266.33, "word": " فيها", "probability": 0.892578125}, {"start": 2266.33, "end": 2266.77, "word": " و", "probability": 0.91650390625}, {"start": 2266.77, "end": 2267.39, "word": " مقيد", "probability": 0.8346354166666666}, {"start": 2267.39, "end": 2267.59, "word": " بال", "probability": 0.9501953125}, {"start": 2267.59, "end": 2268.11, "word": " operation", "probability": 0.81591796875}, {"start": 2268.11, "end": 2268.41, "word": " اللي", "probability": 0.907470703125}, {"start": 2268.41, "end": 2268.83, "word": " عندي", "probability": 0.76806640625}, {"start": 2268.83, "end": 2269.57, "word": " بقدر", "probability": 0.9666341145833334}, {"start": 2269.57, "end": 2269.97, "word": " ألاقي", "probability": 0.8058268229166666}, {"start": 2269.97, "end": 2270.75, "word": " في", "probability": 0.541015625}, {"start": 2270.75, "end": 2271.57, "word": " الشمكانية", "probability": 0.92724609375}, {"start": 2271.57, "end": 2272.69, "word": " يبقى", "probability": 0.9759521484375}, {"start": 2272.69, "end": 2272.95, "word": " F", "probability": 0.6982421875}, {"start": 2272.95, "end": 2273.19, "word": " ال", "probability": 0.35205078125}, {"start": 2273.19, "end": 2273.41, "word": " A", "probability": 0.55078125}, {"start": 2273.41, "end": 2273.81, "word": " موجودة", "probability": 0.50518798828125}, {"start": 2273.81, "end": 2274.49, "word": " under", "probability": 0.39892578125}, {"start": 2274.49, "end": 2274.71, "word": " ال", "probability": 0.53955078125}, {"start": 2274.71, "end": 2274.91, "word": " A", "probability": 0.86962890625}, {"start": 2274.91, "end": 2275.05, "word": " لا", "probability": 0.300537109375}, {"start": 2275.05, "end": 2275.63, "word": " تساوي", "probability": 0.96533203125}, {"start": 2275.63, "end": 2276.25, "word": " واحد", "probability": 0.861083984375}, {"start": 2276.25, "end": 2277.27, "word": " then", "probability": 0.7138671875}, {"start": 2277.27, "end": 2278.67, "word": " there", "probability": 0.86181640625}, {"start": 2278.67, "end": 2279.15, "word": " is", "probability": 0.7802734375}, {"start": 2279.15, "end": 2279.63, "word": " أو", "probability": 0.69970703125}, {"start": 2279.63, "end": 2280.01, "word": " there", "probability": 0.82080078125}, {"start": 2280.01, "end": 2280.99, "word": " exists", "probability": 0.7431640625}, {"start": 2280.99, "end": 2282.05, "word": " no", "probability": 0.94091796875}, {"start": 2282.05, "end": 2283.57, "word": " element", "probability": 0.9638671875}, {"start": 2283.57, "end": 2285.41, "word": " B", "probability": 0.66650390625}], "temperature": 1.0}, {"id": 93, "seek": 231515, "start": 2286.09, "end": 2315.15, "text": "ن اللي هو z such that بحيث ان ال a في b بده يساوي الواحد الصحيح يعني for example if ال a تساوي تلتة بقدر الاقي عدد بي اضروف تلتة يطلع واحد بس بحيث العدد فيه z", "tokens": [1863, 13672, 1829, 31439, 710, 1270, 300, 4724, 5016, 1829, 12984, 16472, 2423, 257, 8978, 272, 47525, 3224, 7251, 3794, 995, 45865, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 37495, 22653, 337, 1365, 498, 2423, 257, 6055, 3794, 995, 45865, 6055, 1211, 2655, 3660, 4724, 28543, 2288, 1975, 15040, 38436, 6225, 3215, 3215, 4724, 1829, 1975, 11242, 32887, 5172, 6055, 1211, 2655, 3660, 7251, 9566, 1211, 3615, 36764, 24401, 4724, 3794, 4724, 5016, 1829, 12984, 18863, 3215, 3215, 8978, 3224, 710], "avg_logprob": -0.23132622514556095, "compression_ratio": 1.5644171779141105, "no_speech_prob": 0.0, "words": [{"start": 2286.09, "end": 2286.63, "word": "ن", "probability": 0.325439453125}, {"start": 2286.63, "end": 2287.41, "word": " اللي", "probability": 0.53607177734375}, {"start": 2287.41, "end": 2287.71, "word": " هو", "probability": 0.9794921875}, {"start": 2287.71, "end": 2288.33, "word": " z", "probability": 0.26220703125}, {"start": 2288.33, "end": 2289.43, "word": " such", "probability": 0.67919921875}, {"start": 2289.43, "end": 2292.61, "word": " that", "probability": 0.94921875}, {"start": 2292.61, "end": 2294.67, "word": " بحيث", "probability": 0.9027099609375}, {"start": 2294.67, "end": 2295.11, "word": " ان", "probability": 0.53369140625}, {"start": 2295.11, "end": 2296.09, "word": " ال", "probability": 0.8427734375}, {"start": 2296.09, "end": 2296.57, "word": " a", "probability": 0.72998046875}, {"start": 2296.57, "end": 2297.13, "word": " في", "probability": 0.830078125}, {"start": 2297.13, "end": 2297.57, "word": " b", "probability": 0.81689453125}, {"start": 2297.57, "end": 2298.21, "word": " بده", "probability": 0.31158447265625}, {"start": 2298.21, "end": 2298.53, "word": " يساوي", "probability": 0.8310546875}, {"start": 2298.53, "end": 2298.87, "word": " الواحد", "probability": 0.8699544270833334}, {"start": 2298.87, "end": 2299.47, "word": " الصحيح", "probability": 0.9066162109375}, {"start": 2299.47, "end": 2300.81, "word": " يعني", "probability": 0.85546875}, {"start": 2300.81, "end": 2301.17, "word": " for", "probability": 0.91015625}, {"start": 2301.17, "end": 2302.19, "word": " example", "probability": 0.978515625}, {"start": 2302.19, "end": 2305.83, "word": " if", "probability": 0.70703125}, {"start": 2305.83, "end": 2307.55, "word": " ال", "probability": 0.9296875}, {"start": 2307.55, "end": 2307.83, "word": " a", "probability": 0.953125}, {"start": 2307.83, "end": 2308.55, "word": " تساوي", "probability": 0.9525146484375}, {"start": 2308.55, "end": 2309.43, "word": " تلتة", "probability": 0.8363037109375}, {"start": 2309.43, "end": 2310.87, "word": " بقدر", "probability": 0.9680989583333334}, {"start": 2310.87, "end": 2311.29, "word": " الاقي", "probability": 0.755859375}, {"start": 2311.29, "end": 2311.79, "word": " عدد", "probability": 0.9763997395833334}, {"start": 2311.79, "end": 2312.09, "word": " بي", "probability": 0.76025390625}, {"start": 2312.09, "end": 2312.55, "word": " اضروف", "probability": 0.7921142578125}, {"start": 2312.55, "end": 2312.91, "word": " تلتة", "probability": 0.9803466796875}, {"start": 2312.91, "end": 2313.19, "word": " يطلع", "probability": 0.9891357421875}, {"start": 2313.19, "end": 2313.57, "word": " واحد", "probability": 0.984619140625}, {"start": 2313.57, "end": 2313.93, "word": " بس", "probability": 0.94873046875}, {"start": 2313.93, "end": 2314.21, "word": " بحيث", "probability": 0.57989501953125}, {"start": 2314.21, "end": 2314.67, "word": " العدد", "probability": 0.9484049479166666}, {"start": 2314.67, "end": 2314.95, "word": " فيه", "probability": 0.81396484375}, {"start": 2314.95, "end": 2315.15, "word": " z", "probability": 0.74853515625}], "temperature": 1.0}, {"id": 94, "seek": 234437, "start": 2315.77, "end": 2344.37, "text": "فالـ a تسوى تلاتة then there is no integer بي such that بحيث ان تلاتة بيبدوا يساوي واحد مالاجيش هذا العدد بتاتا يبقى هذه زد تحت عملية ضرب مالها", "tokens": [5172, 6027, 39184, 257, 6055, 3794, 2407, 7578, 6055, 1211, 9307, 3660, 550, 456, 307, 572, 24922, 4724, 1829, 1270, 300, 4724, 5016, 1829, 12984, 16472, 6055, 1211, 9307, 3660, 4724, 1829, 44510, 14407, 7251, 3794, 995, 45865, 36764, 24401, 3714, 6027, 26108, 1829, 8592, 23758, 18863, 3215, 3215, 39894, 9307, 995, 7251, 3555, 4587, 7578, 29538, 30767, 3215, 6055, 33753, 6225, 42213, 10632, 48812, 25513, 3714, 6027, 11296], "avg_logprob": -0.315625005534717, "compression_ratio": 1.4223602484472049, "no_speech_prob": 0.0, "words": [{"start": 2315.77, "end": 2317.03, "word": "فالـ", "probability": 0.21952311197916666}, {"start": 2317.03, "end": 2317.23, "word": " a", "probability": 0.44677734375}, {"start": 2317.23, "end": 2317.73, "word": " تسوى", "probability": 0.58221435546875}, {"start": 2317.73, "end": 2318.43, "word": " تلاتة", "probability": 0.9158935546875}, {"start": 2318.43, "end": 2319.39, "word": " then", "probability": 0.2646484375}, {"start": 2319.39, "end": 2320.61, "word": " there", "probability": 0.86572265625}, {"start": 2320.61, "end": 2321.23, "word": " is", "probability": 0.9521484375}, {"start": 2321.23, "end": 2322.83, "word": " no", "probability": 0.71533203125}, {"start": 2322.83, "end": 2325.91, "word": " integer", "probability": 0.485595703125}, {"start": 2325.91, "end": 2328.11, "word": " بي", "probability": 0.771728515625}, {"start": 2328.11, "end": 2330.27, "word": " such", "probability": 0.2125244140625}, {"start": 2330.27, "end": 2331.59, "word": " that", "probability": 0.9130859375}, {"start": 2331.59, "end": 2333.19, "word": " بحيث", "probability": 0.9595947265625}, {"start": 2333.19, "end": 2333.61, "word": " ان", "probability": 0.54541015625}, {"start": 2333.61, "end": 2334.83, "word": " تلاتة", "probability": 0.9073486328125}, {"start": 2334.83, "end": 2335.29, "word": " بيبدوا", "probability": 0.7449951171875}, {"start": 2335.29, "end": 2335.63, "word": " يساوي", "probability": 0.7498779296875}, {"start": 2335.63, "end": 2335.95, "word": " واحد", "probability": 0.959716796875}, {"start": 2335.95, "end": 2336.65, "word": " مالاجيش", "probability": 0.74609375}, {"start": 2336.65, "end": 2337.07, "word": " هذا", "probability": 0.80224609375}, {"start": 2337.07, "end": 2337.63, "word": " العدد", "probability": 0.9459635416666666}, {"start": 2337.63, "end": 2338.59, "word": " بتاتا", "probability": 0.7937825520833334}, {"start": 2338.59, "end": 2339.95, "word": " يبقى", "probability": 0.9456787109375}, {"start": 2339.95, "end": 2340.45, "word": " هذه", "probability": 0.454833984375}, {"start": 2340.45, "end": 2341.45, "word": " زد", "probability": 0.67626953125}, {"start": 2341.45, "end": 2341.83, "word": " تحت", "probability": 0.98486328125}, {"start": 2341.83, "end": 2342.53, "word": " عملية", "probability": 0.9842122395833334}, {"start": 2342.53, "end": 2343.25, "word": " ضرب", "probability": 0.85107421875}, {"start": 2343.25, "end": 2344.37, "word": " مالها", "probability": 0.775634765625}], "temperature": 1.0}, {"id": 95, "seek": 236541, "start": 2344.91, "end": 2365.41, "text": "طيب خليني أسأل كمان سؤال لو قلتلك ال set of real numbers كويس؟ بس أصبر شوية ال set of real numbers تحت عملية الضرب هل هي group؟ ليش؟", "tokens": [9566, 1829, 3555, 16490, 1211, 9957, 1829, 5551, 3794, 10721, 1211, 9122, 2304, 7649, 8608, 33604, 6027, 45164, 12174, 1211, 2655, 23275, 2423, 992, 295, 957, 3547, 9122, 45865, 3794, 22807, 4724, 3794, 5551, 9381, 26890, 13412, 2407, 10632, 2423, 992, 295, 957, 3547, 6055, 33753, 6225, 42213, 10632, 6024, 114, 25513, 8032, 1211, 39896, 1594, 22807, 32239, 8592, 22807], "avg_logprob": -0.212858612420129, "compression_ratio": 1.3986013986013985, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 2344.91, "end": 2346.71, "word": "طيب", "probability": 0.6529947916666666}, {"start": 2346.71, "end": 2347.15, "word": " خليني", "probability": 0.866943359375}, {"start": 2347.15, "end": 2347.53, "word": " أسأل", "probability": 0.85205078125}, {"start": 2347.53, "end": 2348.21, "word": " كمان", "probability": 0.8693033854166666}, {"start": 2348.21, "end": 2348.97, "word": " سؤال", "probability": 0.99609375}, {"start": 2348.97, "end": 2349.67, "word": " لو", "probability": 0.76025390625}, {"start": 2349.67, "end": 2350.19, "word": " قلتلك", "probability": 0.7607421875}, {"start": 2350.19, "end": 2350.45, "word": " ال", "probability": 0.58984375}, {"start": 2350.45, "end": 2350.77, "word": " set", "probability": 0.93798828125}, {"start": 2350.77, "end": 2351.27, "word": " of", "probability": 0.97314453125}, {"start": 2351.27, "end": 2351.67, "word": " real", "probability": 0.9736328125}, {"start": 2351.67, "end": 2352.73, "word": " numbers", "probability": 0.8505859375}, {"start": 2352.73, "end": 2353.93, "word": " كويس؟", "probability": 0.545654296875}, {"start": 2353.93, "end": 2354.13, "word": " بس", "probability": 0.967529296875}, {"start": 2354.13, "end": 2354.43, "word": " أصبر", "probability": 0.8229166666666666}, {"start": 2354.43, "end": 2354.99, "word": " شوية", "probability": 0.9222005208333334}, {"start": 2354.99, "end": 2355.91, "word": " ال", "probability": 0.80810546875}, {"start": 2355.91, "end": 2356.21, "word": " set", "probability": 0.87060546875}, {"start": 2356.21, "end": 2356.45, "word": " of", "probability": 0.98291015625}, {"start": 2356.45, "end": 2356.77, "word": " real", "probability": 0.96826171875}, {"start": 2356.77, "end": 2357.53, "word": " numbers", "probability": 0.89404296875}, {"start": 2357.53, "end": 2358.33, "word": " تحت", "probability": 0.994384765625}, {"start": 2358.33, "end": 2359.33, "word": " عملية", "probability": 0.9837239583333334}, {"start": 2359.33, "end": 2360.29, "word": " الضرب", "probability": 0.8961588541666666}, {"start": 2360.29, "end": 2361.25, "word": " هل", "probability": 0.758056640625}, {"start": 2361.25, "end": 2361.47, "word": " هي", "probability": 0.90673828125}, {"start": 2361.47, "end": 2362.71, "word": " group؟", "probability": 0.931640625}, {"start": 2362.71, "end": 2365.41, "word": " ليش؟", "probability": 0.857421875}], "temperature": 1.0}, {"id": 96, "seek": 239541, "start": 2365.55, "end": 2395.41, "text": "بالنسبة للصفر بلا جيش و لا inverse ليش ان ال identity قلت هو مين بلا جيش ولا عدد اضربه في الصفر يطلع واحد صحيح يدي ليست جروب و هكذا اذا احنا ال set مقيدين بال set بشكل الاعداد اللى موجودة فيها مقيد بال identity اللى عندى فيها مقيد بال binary operational اللى موجودة عندى حققت الشروط بقول جروب ما حققت بقوله ماهياش جروب", "tokens": [3555, 6027, 1863, 35457, 3660, 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multiplication", "probability": 0.90576171875}, {"start": 2466.23, "end": 2467.13, "word": " هذه", "probability": 0.59716796875}], "temperature": 1.0}, {"id": 100, "seek": 247548, "start": 2468.93, "end": 2475.49, "text": "لو ضرب اي عددين في بعض من دول بيبقى complex و لا بيبطل يصير complex", "tokens": [1211, 2407, 48812, 25513, 1975, 1829, 6225, 3215, 3215, 9957, 8978, 45030, 11242, 9154, 11778, 12610, 4724, 1829, 3555, 4587, 7578, 3997, 4032, 20193, 4724, 1829, 3555, 9566, 1211, 7251, 9381, 13546, 3997], "avg_logprob": -0.38373161326436434, "compression_ratio": 1.1910112359550562, "no_speech_prob": 0.0, "words": [{"start": 2468.93, "end": 2469.81, "word": "لو", "probability": 0.5220947265625}, {"start": 2469.81, "end": 2470.45, "word": " ضرب", "probability": 0.78466796875}, {"start": 2470.45, "end": 2471.39, "word": " اي", "probability": 0.6929931640625}, {"start": 2471.39, "end": 2472.05, "word": " عددين", "probability": 0.8671875}, {"start": 2472.05, "end": 2472.25, "word": " في", 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{"start": 2707.99, "end": 2709.17, "word": " group", "probability": 0.9794921875}, {"start": 2709.17, "end": 2711.15, "word": " but", "probability": 0.90673828125}, {"start": 2711.15, "end": 2713.29, "word": " ولكن", "probability": 0.769287109375}, {"start": 2713.29, "end": 2714.59, "word": " اللي", "probability": 0.9443359375}, {"start": 2714.59, "end": 2714.95, "word": " هو", "probability": 0.9765625}, {"start": 2714.95, "end": 2715.87, "word": " واحد", "probability": 0.97509765625}], "temperature": 1.0}, {"id": 110, "seek": 273997, "start": 2716.37, "end": 2739.97, "text": "و اتنين و تلاتة under multiplication modulo أربعة is not a group", "tokens": [2407, 1975, 2655, 1863, 9957, 4032, 6055, 1211, 9307, 3660, 833, 27290, 1072, 13455, 5551, 25513, 27884, 307, 406, 257, 1594], "avg_logprob": -0.20862926204096188, "compression_ratio": 0.9418604651162791, "no_speech_prob": 0.0, "words": [{"start": 2716.37, "end": 2716.65, "word": "و", "probability": 0.81103515625}, {"start": 2716.65, 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"سؤال مرة تانية السؤال يعتبر سؤالين", "tokens": [3794, 33604, 6027, 3714, 25720, 6055, 7649, 10632, 21136, 33604, 6027, 7251, 34268, 26890, 8608, 33604, 6027, 9957], "avg_logprob": -0.13240131892656026, "compression_ratio": 1.1454545454545455, "no_speech_prob": 0.0, "words": [{"start": 2775.38, "end": 2775.86, "word": "سؤال", "probability": 0.9158528645833334}, {"start": 2775.86, "end": 2776.14, "word": " مرة", "probability": 0.89404296875}, {"start": 2776.14, "end": 2776.76, "word": " تانية", "probability": 0.9733072916666666}, {"start": 2776.76, "end": 2778.14, "word": " السؤال", "probability": 0.8226725260416666}, {"start": 2778.14, "end": 2778.54, "word": " يعتبر", "probability": 0.83056640625}, {"start": 2778.54, "end": 2779.12, "word": " سؤالين", "probability": 0.8912353515625}], "temperature": 1.0}, {"id": 112, "seek": 280877, "start": 2779.95, "end": 2808.77, "text": "عندما أعطيني أربعة أعداد واحد اتنين تلاتة عرفنا عليهم عملية ضرب module خمسة عملية ضرب بالمقياس خمسة قال لي أثبت 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2977.04, "text": "is associative بدّك تشكل بساطرة هذا مافي مشكلة احنا ال I هو ال identity الواحد يبقى هذا سهل لكن ضالي عند مين الاتنين والتلاتة والاربعة يبقى بقدر أخدهم مع بعض او يبقى خلصت ال group كله مظبوط يعني for example", "tokens": [271, 4180, 1166, 47525, 11703, 4117, 6055, 8592, 28820, 4724, 3794, 41193, 25720, 23758, 19446, 41185, 37893, 28820, 3660, 1975, 5016, 8315, 2423, 286, 31439, 2423, 6575, 2423, 14407, 24401, 7251, 3555, 4587, 7578, 23758, 8608, 3224, 1211, 44381, 48812, 6027, 1829, 43242, 3714, 9957, 2423, 9307, 1863, 9957, 16070, 2655, 1211, 9307, 3660, 16070, 9640, 3555, 27884, 7251, 3555, 4587, 7578, 4724, 28543, 2288, 5551, 9778, 3215, 16095, 20449, 45030, 11242, 1975, 2407, 7251, 3555, 4587, 7578, 16490, 1211, 9381, 2655, 2423, 1594, 28242, 3224, 3714, 19913, 3555, 2407, 9566, 37495, 22653, 337, 1365], "avg_logprob": -0.29166665704300004, "compression_ratio": 1.5203619909502262, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2955.2199999999993, 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"end": 3092.92, "word": " هو", "probability": 0.97216796875}, {"start": 3092.92, "end": 3093.04, "word": " ال", "probability": 0.82373046875}, {"start": 3093.04, "end": 3093.54, "word": " identity", "probability": 0.80908203125}, {"start": 3093.54, "end": 3094.04, "word": " element", "probability": 0.9716796875}, {"start": 3094.04, "end": 3094.56, "word": " طب", "probability": 0.881591796875}, {"start": 3094.56, "end": 3095.18, "word": " والاربعة", "probability": 0.831298828125}, {"start": 3095.18, "end": 3095.38, "word": " في", "probability": 0.951171875}, {"start": 3095.38, "end": 3096.04, "word": " اربعة", "probability": 0.9013671875}], "temperature": 1.0}, {"id": 124, "seek": 312531, "start": 3097.95, "end": 3125.31, "text": "يبقى اربعة معكوس لنفسه و اتنين معكوس للتلاتة و ال identity هو معكوس لنفسه إذا صار كل عنصر له معكوس يبقى هنا باجي بقول every element in S has an inverse", "tokens": [1829, 3555, 4587, 7578, 1975, 25513, 27884, 20449, 4117, 41779, 5296, 1863, 36178, 3224, 4032, 1975, 2655, 1863, 9957, 20449, 4117, 41779, 24976, 2655, 1211, 9307, 3660, 4032, 2423, 6575, 31439, 20449, 4117, 41779, 5296, 1863, 36178, 3224, 11933, 15730, 20328, 9640, 28242, 18871, 9381, 2288, 46740, 20449, 4117, 41779, 7251, 3555, 4587, 7578, 34105, 4724, 26108, 1829, 4724, 39648, 633, 4478, 294, 318, 575, 364, 17340], "avg_logprob": -0.2881433731492828, "compression_ratio": 1.5389610389610389, "no_speech_prob": 0.0, "words": [{"start": 3097.9500000000003, "end": 3099.15, "word": "يبقى", "probability": 0.60748291015625}, {"start": 3099.15, "end": 3099.73, "word": " اربعة", "probability": 0.6317952473958334}, {"start": 3099.73, "end": 3100.39, "word": " معكوس", "probability": 0.671142578125}, {"start": 3100.39, "end": 3101.23, "word": " لنفسه", "probability": 0.844970703125}, {"start": 3101.23, "end": 3101.77, "word": " و", "probability": 0.54345703125}, {"start": 3101.77, "end": 3102.23, "word": " اتنين", "probability": 0.80731201171875}, {"start": 3102.23, "end": 3102.65, "word": " معكوس", "probability": 0.8528645833333334}, {"start": 3102.65, "end": 3103.21, "word": " للتلاتة", "probability": 0.76591796875}, {"start": 3103.21, "end": 3103.33, "word": " و", "probability": 0.580078125}, {"start": 3103.33, "end": 3103.39, "word": " ال", "probability": 0.87451171875}, {"start": 3103.39, "end": 3103.89, "word": " identity", "probability": 0.78515625}, {"start": 3103.89, "end": 3104.15, "word": " هو", "probability": 0.2420654296875}, {"start": 3104.15, "end": 3104.73, "word": " معكوس", "probability": 0.796875}, {"start": 3104.73, "end": 3105.43, "word": " لنفسه", "probability": 0.9844970703125}, {"start": 3105.43, "end": 3106.03, "word": " إذا", "probability": 0.54595947265625}, {"start": 3106.03, "end": 3106.43, "word": " صار", "probability": 0.728271484375}, {"start": 3106.43, "end": 3106.97, "word": " كل", "probability": 0.96044921875}, {"start": 3106.97, "end": 3107.83, "word": " عنصر", "probability": 0.9895833333333334}, {"start": 3107.83, "end": 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3125.31, "word": " inverse", "probability": 0.8798828125}], "temperature": 1.0}, {"id": 125, "seek": 315181, "start": 3127.29, "end": 3151.81, "text": "since الواحد is the inverse of واحد بعدها اتنين is the inverse of تلاتة since", "tokens": [82, 1236, 2423, 14407, 24401, 307, 264, 17340, 295, 36764, 24401, 39182, 11296, 1975, 2655, 1863, 9957, 307, 264, 17340, 295, 6055, 1211, 9307, 3660, 1670], "avg_logprob": -0.18909143187381602, "compression_ratio": 1.2289156626506024, "no_speech_prob": 0.0, "words": [{"start": 3127.29, "end": 3128.01, "word": "since", "probability": 0.57525634765625}, {"start": 3128.01, "end": 3130.73, "word": " الواحد", "probability": 0.9768880208333334}, {"start": 3130.73, "end": 3131.55, "word": " is", "probability": 0.9287109375}, {"start": 3131.55, "end": 3132.53, "word": " the", "probability": 0.8974609375}, {"start": 3132.53, "end": 3134.23, "word": " inverse", "probability": 0.86376953125}, {"start": 3134.23, "end": 3135.51, "word": " of", "probability": 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6055, 1211, 9307, 3660, 1072, 13455, 16490, 2304, 3794, 3660, 47525, 3224, 7251, 3794, 995, 45865, 36764, 24401, 293, 16247, 25513, 27884, 307, 264, 17340, 295, 2564, 1670, 13672, 1829, 8032, 2304, 9957], "avg_logprob": -0.2736280604106624, "compression_ratio": 1.152, "no_speech_prob": 0.0, "words": [{"start": 3152.74, "end": 3153.44, "word": "لأن", "probability": 0.687255859375}, {"start": 3153.44, "end": 3154.72, "word": " اتنين", "probability": 0.87255859375}, {"start": 3154.72, "end": 3155.28, "word": " في", "probability": 0.857421875}, {"start": 3155.28, "end": 3156.26, "word": " تلاتة", "probability": 0.92724609375}, {"start": 3156.26, "end": 3157.46, "word": " modulo", "probability": 0.64501953125}, {"start": 3157.46, "end": 3158.7, "word": " خمسة", "probability": 0.9609375}, {"start": 3158.7, "end": 3159.12, "word": " بده", "probability": 0.2012939453125}, {"start": 3159.12, "end": 3159.54, "word": " يساوي", "probability": 0.74267578125}, {"start": 3159.54, "end": 3159.98, 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خمسة يساوي واحد يبقى كل عنصر له معكوس يبقى بناء عليه أصبحت هذه group يبقى هنا ال S تساوي واحد واتنين وتلاتة واربعة is a group under", "tokens": [10721, 25513, 27884, 3714, 11242, 32887, 49401, 8978, 5551, 25513, 27884, 6583, 13455, 16490, 2304, 3794, 3660, 7251, 3794, 995, 45865, 36764, 24401, 7251, 3555, 4587, 7578, 28242, 18871, 9381, 2288, 46740, 20449, 4117, 41779, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 5551, 9381, 3555, 33753, 29538, 1594, 7251, 3555, 4587, 7578, 34105, 2423, 318, 6055, 3794, 995, 45865, 36764, 24401, 4032, 9307, 1863, 9957, 4032, 2655, 1211, 9307, 3660, 4032, 9640, 3555, 27884, 307, 257, 1594, 833], "avg_logprob": -0.19026898243759252, "compression_ratio": 1.5714285714285714, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 3177.05, "end": 3177.81, "word": "أربعة", "probability": 0.6495361328125}, {"start": 3177.81, "end": 3178.53, "word": " مضروبة", "probability": 0.93310546875}, {"start": 3178.53, "end": 3178.77, "word": " في", "probability": 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{"id": 130, "seek": 326508, "start": 3246.8, "end": 3265.08, "text": "ممتاز جدا تعالى نشوف تلاتة هذه بيقول مالهاش معكوس ليش؟ لأني قلت تلاتة في تلاتة تسعة تسعة شيل منهم أربعتين بيظل واحد إذا التلاتة معكوس لنفسي صح يبقى معكوس", "tokens": [2304, 2304, 2655, 31377, 10874, 28259, 37279, 6027, 7578, 8717, 8592, 38688, 6055, 1211, 9307, 3660, 29538, 4724, 1829, 39648, 3714, 6027, 3224, 33599, 20449, 4117, 41779, 32239, 8592, 22807, 5296, 10721, 22653, 12174, 1211, 2655, 6055, 1211, 9307, 3660, 8978, 6055, 1211, 9307, 3660, 6055, 3794, 27884, 6055, 3794, 27884, 13412, 26895, 9154, 16095, 5551, 25513, 34268, 9957, 4724, 1829, 19913, 1211, 36764, 24401, 11933, 15730, 16712, 1211, 9307, 3660, 20449, 4117, 41779, 5296, 1863, 36178, 1829, 20328, 5016, 7251, 3555, 4587, 7578, 20449, 4117, 41779], "avg_logprob": -0.21519885754043405, "compression_ratio": 1.759493670886076, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3246.8, "end": 3247.84, "word": "ممتاز", "probability": 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"word": " تلاتة", "probability": 0.9842529296875}, {"start": 3253.38, "end": 3253.5, "word": " في", "probability": 0.86767578125}, {"start": 3253.5, "end": 3254.46, "word": " تلاتة", "probability": 0.979736328125}, {"start": 3254.46, "end": 3255.68, "word": " تسعة", "probability": 0.93310546875}, {"start": 3255.68, "end": 3256.4, "word": " تسعة", "probability": 0.9031575520833334}, {"start": 3256.4, "end": 3256.86, "word": " شيل", "probability": 0.6407470703125}, {"start": 3256.86, "end": 3257.32, "word": " منهم", "probability": 0.985107421875}, {"start": 3257.32, "end": 3258.34, "word": " أربعتين", "probability": 0.8955078125}, {"start": 3258.34, "end": 3259.18, "word": " بيظل", "probability": 0.80126953125}, {"start": 3259.18, "end": 3259.56, "word": " واحد", "probability": 0.98583984375}, {"start": 3259.56, "end": 3259.88, "word": " إذا", "probability": 0.758544921875}, {"start": 3259.88, "end": 3260.58, "word": " التلاتة", "probability": 0.9755859375}, {"start": 3260.58, "end": 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{"start": 3270.18, "end": 3270.52, "word": " منهم", "probability": 0.964599609375}, {"start": 3270.52, "end": 3271.02, "word": " اربعة", "probability": 0.798828125}, {"start": 3271.02, "end": 3271.8, "word": " بطلع", "probability": 0.76214599609375}, {"start": 3271.8, "end": 3272.38, "word": " اتنين", "probability": 0.982421875}, {"start": 3272.38, "end": 3272.64, "word": " يبجى", "probability": 0.6383056640625}, {"start": 3272.64, "end": 3272.96, "word": " ده", "probability": 0.60980224609375}, {"start": 3272.96, "end": 3273.2, "word": " مش", "probability": 0.94970703125}, {"start": 3273.2, "end": 3274.0, "word": " اتنين", "probability": 0.97998046875}, {"start": 3274.0, "end": 3274.52, "word": " معكسه", "probability": 0.8182373046875}, {"start": 3274.52, "end": 3274.68, "word": " مش", "probability": 0.72216796875}, {"start": 3274.68, "end": 3275.24, "word": " التلاتة", "probability": 0.94580078125}, {"start": 3275.24, "end": 3275.5, "word": " لكن", "probability": 0.85693359375}, {"start": 3275.5, "end": 3276.08, "word": " اتنين", "probability": 0.905029296875}, {"start": 3276.08, "end": 3276.28, "word": " في", "probability": 0.7978515625}, {"start": 3276.28, "end": 3277.24, "word": " اتنين", "probability": 0.989990234375}, {"start": 3277.24, "end": 3278.14, "word": " اربعة", "probability": 0.8821614583333334}, {"start": 3278.14, "end": 3278.68, "word": " تعني", "probability": 0.827392578125}, {"start": 3278.68, "end": 3279.36, "word": " زيرو", "probability": 0.79052734375}, {"start": 3279.36, "end": 3279.76, "word": " يبجى", "probability": 0.902099609375}, {"start": 3279.76, "end": 3280.56, "word": " اتنين", "probability": 0.9798583984375}, {"start": 3280.56, "end": 3281.3, "word": " او", "probability": 0.935302734375}, {"start": 3281.3, "end": 3281.72, "word": " هذه", "probability": 0.477294921875}, {"start": 3281.72, "end": 3282.64, "word": " ماهياش", "probability": 0.9388427734375}, {"start": 3282.64, "end": 3283.38, "word": " closed", "probability": 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