diff --git "a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/DOlfMJSH6b4_raw.json" "b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/DOlfMJSH6b4_raw.json"
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+{"segments": [{"id": 1, "seek": 3771, "start": 19.07, "end": 37.71, "text": "بسم الله الرحمن الرحيم بنرجع نكمل محاضرة الفترة الصباحية و بدأنا في كلام جديد اللي هو linear transformation بدي أذكر عفوا بال linear combination بدي أذكر الان بال two definitions تبعات الصبح في نهاية المحاضرة", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 44945, 47341, 3615, 8717, 24793, 1211, 3714, 5016, 46958, 25720, 27188, 2655, 25720, 31767, 3555, 39319, 10632, 4032, 47525, 10721, 8315, 8978, 28242, 10943, 10874, 16254, 3215, 13672, 1829, 31439, 8213, 9887, 4724, 16254, 5551, 8848, 37983, 6225, 5172, 14407, 20666, 8213, 6562, 4724, 16254, 5551, 8848, 37983, 2423, 7649, 20666, 732, 21988, 6055, 3555, 3615, 9307, 31767, 49628, 8978, 8717, 11296, 10632, 9673, 5016, 46958, 25720], "avg_logprob": -0.14052353973512527, "compression_ratio": 1.6717171717171717, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 19.07, "end": 19.35, "word": "بسم", "probability": 0.923583984375}, 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إن الـ vector V هو linear combination من الـ V1 و V2 و V3 و VM وهذا ما ذكرناه في الفترة الصباحية نجلن التعريف الثاني", "tokens": [1829, 3555, 4587, 7578, 4724, 39648, 36145, 2423, 39184, 8062, 691, 31439, 8213, 6562, 9154, 2423, 39184, 691, 16, 4032, 691, 17, 4032, 691, 18, 4032, 18038, 37037, 15730, 19446, 29910, 37983, 8315, 3224, 8978, 27188, 2655, 25720, 31767, 3555, 39319, 10632, 8717, 7435, 1211, 1863, 16712, 3615, 16572, 5172, 6024, 104, 7649, 1829], "avg_logprob": -0.18309659470211376, "compression_ratio": 1.3020134228187918, "no_speech_prob": 0.0, "words": [{"start": 78.74, "end": 79.28, "word": "يبقى", "probability": 0.8404541015625}, {"start": 79.28, "end": 79.7, "word": " بقول", "probability": 0.8310546875}, {"start": 79.7, "end": 80.12, "word": " إن", "probability": 0.344482421875}, {"start": 80.12, "end": 80.4, "word": " الـ", "probability": 0.6856689453125}, {"start": 80.4, "end": 80.68, "word": " vector", "probability": 0.63232421875}, {"start": 80.68, "end": 81.08, 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{"start": 270.95, "end": 271.19, "word": " مش", "probability": 0.56298828125}, {"start": 271.19, "end": 271.89, "word": " كله", "probability": 0.994140625}, {"start": 271.89, "end": 273.07, "word": " على", "probability": 0.342041015625}, {"start": 273.07, "end": 273.33, "word": " أي", "probability": 0.86328125}, {"start": 273.33, "end": 273.73, "word": " حال", "probability": 0.998046875}, {"start": 273.73, "end": 274.05, "word": " إن", "probability": 0.60205078125}, {"start": 274.05, "end": 274.47, "word": " كانت", "probability": 0.980712890625}, {"start": 274.47, "end": 274.83, "word": " كله", "probability": 0.932861328125}, {"start": 274.83, "end": 275.15, "word": " فهي", "probability": 0.95751953125}, {"start": 275.15, "end": 275.77, "word": " subspace", "probability": 0.751220703125}, {"start": 275.77, "end": 276.13, "word": " لأن", "probability": 0.88427734375}, {"start": 276.13, "end": 276.47, "word": " any", "probability": 0.64892578125}, {"start": 276.47, "end": 276.91, "word": " set", "probability": 0.94873046875}, {"start": 276.91, "end": 277.39, "word": " is", "probability": 0.9375}, {"start": 277.39, "end": 277.69, "word": " a", "probability": 0.955078125}, {"start": 277.69, "end": 278.15, "word": " subset", "probability": 0.9326171875}, {"start": 278.15, "end": 278.43, "word": " of", "probability": 0.95361328125}, {"start": 278.43, "end": 279.15, "word": " itself", "probability": 0.73583984375}, {"start": 279.15, "end": 280.13, "word": " ويمكن", "probability": 0.8486328125}, {"start": 280.13, "end": 280.31, "word": " ما", "probability": 0.474365234375}, {"start": 280.31, "end": 280.83, "word": " تجيبش", "probability": 0.98623046875}, {"start": 280.83, "end": 281.27, "word": " بتبقى", "probability": 0.71221923828125}, {"start": 281.27, "end": 281.85, "word": " subset", "probability": 0.70849609375}, {"start": 281.85, "end": 282.51, "word": " عادية", "probability": 0.9111328125}, {"start": 282.51, "end": 282.71, "word": " من", "probability": 0.9541015625}, {"start": 282.71, "end": 283.61, "word": " ال", "probability": 0.69775390625}, {"start": 283.61, "end": 283.89, "word": " vector", "probability": 0.80712890625}, {"start": 283.89, "end": 284.57, "word": " space", "probability": 0.9423828125}, {"start": 284.57, "end": 284.83, "word": " اللي", "probability": 0.948486328125}, {"start": 284.83, "end": 285.13, "word": " عندنا", "probability": 0.879150390625}], "temperature": 1.0}, {"id": 14, "seek": 30358, "start": 285.32, "end": 303.58, "text": "يبقى أنا بدأ أروح أثبت له أن الـ U اللي جيبناها بهذا الشكل هي مين هي sub space من ال vector space الأصلي بدنا نروح نبرهن صحة هذا الكلام مشان نبرهن صحة هذا الكلام بدأ أروح أثبت مين", "tokens": [1829, 3555, 4587, 7578, 41850, 47525, 10721, 5551, 32887, 5016, 5551, 12984, 3555, 2655, 46740, 14739, 2423, 39184, 624, 13672, 1829, 10874, 1829, 3555, 8315, 11296, 39627, 15730, 25124, 28820, 39896, 3714, 9957, 39896, 1422, 1901, 9154, 2423, 8062, 1901, 16247, 9381, 20292, 47525, 8315, 8717, 32887, 5016, 8717, 26890, 3224, 1863, 20328, 5016, 3660, 23758, 2423, 28820, 10943, 37893, 7649, 8717, 26890, 3224, 1863, 20328, 5016, 3660, 23758, 2423, 28820, 10943, 47525, 10721, 5551, 32887, 5016, 5551, 12984, 3555, 2655, 3714, 9957], "avg_logprob": -0.2379092238843441, "compression_ratio": 1.8695652173913044, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 285.32, "end": 285.94, "word": "يبقى", "probability": 0.752166748046875}, {"start": 285.94, "end": 286.22, "word": " أنا", "probability": 0.434814453125}, {"start": 286.22, "end": 286.58, "word": " بدأ", "probability": 0.344970703125}, {"start": 286.58, "end": 286.78, "word": " أروح", "probability": 0.744140625}, {"start": 286.78, "end": 287.44, "word": " أثبت", "probability": 0.9512939453125}, {"start": 287.44, "end": 287.6, "word": " له", "probability": 0.7470703125}, {"start": 287.6, "end": 287.98, "word": " أن", "probability": 0.45849609375}, {"start": 287.98, "end": 288.26, "word": " الـ", "probability": 0.5889892578125}, {"start": 288.26, "end": 288.46, "word": " U", "probability": 0.418212890625}, {"start": 288.46, "end": 288.72, "word": " اللي", "probability": 0.85986328125}, {"start": 288.72, "end": 289.42, "word": " جيبناها", "probability": 0.887109375}, {"start": 289.42, "end": 289.96, "word": " بهذا", "probability": 0.96240234375}, {"start": 289.96, "end": 290.6, "word": " الشكل", "probability": 0.99267578125}, {"start": 290.6, "end": 291.24, "word": " هي", "probability": 0.7646484375}, {"start": 291.24, "end": 291.72, "word": " مين", "probability": 0.636962890625}, {"start": 291.72, "end": 292.22, "word": " هي", "probability": 0.66357421875}, {"start": 292.22, "end": 293.02, "word": " sub", "probability": 0.3720703125}, {"start": 293.02, "end": 293.68, "word": " space", "probability": 0.53076171875}, {"start": 293.68, "end": 293.92, "word": " من", "probability": 0.984375}, {"start": 293.92, "end": 294.1, "word": " ال", "probability": 0.97998046875}, {"start": 294.1, "end": 294.4, "word": " vector", "probability": 0.91796875}, {"start": 294.4, "end": 295.04, "word": " space", "probability": 0.94677734375}, {"start": 295.04, "end": 295.98, "word": " الأصلي", "probability": 0.9169921875}, {"start": 295.98, "end": 296.64, "word": " بدنا", "probability": 0.78564453125}, {"start": 296.64, "end": 296.92, "word": " نروح", "probability": 0.9329427083333334}, {"start": 296.92, "end": 297.58, "word": " نبرهن", "probability": 0.79083251953125}, {"start": 297.58, "end": 298.18, "word": " صحة", "probability": 0.9749348958333334}, {"start": 298.18, "end": 298.7, "word": " هذا", "probability": 0.9482421875}, {"start": 298.7, "end": 299.4, "word": " الكلام", "probability": 0.9619140625}, {"start": 299.4, "end": 300.28, "word": " مشان", "probability": 0.5672607421875}, {"start": 300.28, "end": 300.76, "word": " نبرهن", "probability": 0.9625244140625}, {"start": 300.76, "end": 301.22, "word": " صحة", "probability": 0.97802734375}, {"start": 301.22, "end": 301.46, "word": " هذا", "probability": 0.97021484375}, {"start": 301.46, "end": 302.04, "word": " الكلام", "probability": 0.9759114583333334}, {"start": 302.04, "end": 302.46, "word": " بدأ", "probability": 0.705078125}, {"start": 302.46, "end": 302.78, "word": " أروح", "probability": 0.95849609375}, {"start": 302.78, "end": 303.24, "word": " أثبت", "probability": 0.9942626953125}, {"start": 303.24, "end": 303.58, "word": " مين", "probability": 0.95263671875}], "temperature": 1.0}, {"id": 15, "seek": 33316, "start": 304.12, "end": 333.16, "text": "تلات نقاط ان ال set U is non-empty لو أخدت element اسكرال و element منها ضربت اتنين في بعض بدلجيه في ال set هذه لو أخدت two elements منها وجمعتهم بدلجيه في هذه ال set أول شيء بدي أثبت له ان ال U هذه is non-empty يعني على الأقل بدلجي فيها ولو عنصر واحدة تمام يبقى باجي بقوله هنا", "tokens": [2655, 1211, 9307, 8717, 4587, 41193, 16472, 2423, 992, 624, 307, 2107, 12, 4543, 88, 45164, 5551, 9778, 3215, 2655, 4478, 24525, 37983, 6027, 4032, 4478, 9154, 11296, 48812, 25513, 2655, 1975, 2655, 1863, 9957, 8978, 45030, 11242, 47525, 1211, 7435, 1829, 3224, 8978, 2423, 992, 29538, 45164, 5551, 9778, 3215, 2655, 732, 4959, 9154, 11296, 49610, 2304, 34268, 16095, 47525, 1211, 7435, 1829, 3224, 8978, 29538, 2423, 992, 5551, 12610, 44049, 38207, 4724, 16254, 5551, 12984, 3555, 2655, 46740, 16472, 2423, 624, 29538, 307, 2107, 12, 4543, 88, 37495, 22653, 15844, 16247, 4587, 1211, 47525, 1211, 7435, 1829, 8978, 11296, 35525, 2407, 18871, 9381, 2288, 36764, 24401, 3660, 46811, 10943, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 34105], "avg_logprob": -0.24987297814066817, "compression_ratio": 1.8174273858921162, "no_speech_prob": 0.0, "words": [{"start": 304.12, "end": 304.54, "word": "تلات", "probability": 0.6652018229166666}, {"start": 304.54, "end": 305.14, "word": " نقاط", "probability": 0.92578125}, {"start": 305.14, "end": 305.66, "word": " ان", "probability": 0.349365234375}, {"start": 305.66, "end": 305.84, "word": " ال", "probability": 0.8271484375}, {"start": 305.84, "end": 306.04, "word": " set", "probability": 0.55615234375}, {"start": 306.04, "end": 306.32, "word": " U", "probability": 0.623046875}, {"start": 306.32, "end": 306.56, "word": " is", "probability": 0.68603515625}, {"start": 306.56, "end": 306.88, "word": " non", "probability": 0.50537109375}, {"start": 306.88, "end": 307.46, "word": "-empty", "probability": 0.76611328125}, {"start": 307.46, "end": 307.96, "word": " لو", "probability": 0.50390625}, {"start": 307.96, "end": 308.34, "word": " أخدت", "probability": 0.86376953125}, {"start": 308.34, "end": 308.62, "word": " element", "probability": 0.75390625}, {"start": 308.62, "end": 309.34, "word": " اسكرال", "probability": 0.5275472005208334}, {"start": 309.34, "end": 309.48, "word": " و", "probability": 0.611328125}, {"start": 309.48, "end": 309.82, "word": " element", "probability": 0.91650390625}, {"start": 309.82, "end": 310.52, "word": " منها", "probability": 0.990966796875}, {"start": 310.52, "end": 311.24, "word": " ضربت", "probability": 0.7884928385416666}, {"start": 311.24, "end": 311.5, "word": " اتنين", "probability": 0.91015625}, {"start": 311.5, "end": 311.6, "word": " في", "probability": 0.87548828125}, {"start": 311.6, "end": 311.88, "word": " بعض", "probability": 0.96044921875}, {"start": 311.88, "end": 312.54, "word": " بدلجيه", "probability": 0.661328125}, {"start": 312.54, "end": 312.62, "word": " في", "probability": 0.9365234375}, {"start": 312.62, "end": 312.78, "word": " ال", "probability": 0.88330078125}, {"start": 312.78, "end": 313.04, "word": " set", "probability": 0.93212890625}, {"start": 313.04, "end": 313.42, "word": " هذه", "probability": 0.46044921875}, {"start": 313.42, "end": 313.9, "word": " لو", "probability": 0.775390625}, {"start": 313.9, "end": 314.34, "word": " أخدت", "probability": 0.9437255859375}, {"start": 314.34, "end": 314.5, "word": " two", "probability": 0.6416015625}, {"start": 314.5, "end": 314.86, "word": " elements", "probability": 0.88818359375}, {"start": 314.86, "end": 315.2, "word": " منها", "probability": 0.984130859375}, {"start": 315.2, "end": 315.82, "word": " وجمعتهم", "probability": 0.8399658203125}, {"start": 315.82, "end": 316.36, "word": " بدلجيه", "probability": 0.9537109375}, {"start": 316.36, "end": 316.76, "word": " في", "probability": 0.7158203125}, {"start": 316.76, "end": 317.96, "word": " هذه", "probability": 0.61474609375}, {"start": 317.96, "end": 318.54, "word": " ال", "probability": 0.90234375}, {"start": 318.54, "end": 318.76, "word": " set", "probability": 0.96044921875}, {"start": 318.76, "end": 319.5, "word": " أول", "probability": 0.7861328125}, {"start": 319.5, "end": 319.82, "word": " شيء", "probability": 0.5704345703125}, {"start": 319.82, "end": 320.06, "word": " بدي", "probability": 0.4630126953125}, {"start": 320.06, "end": 320.4, "word": " أثبت", "probability": 0.9271240234375}, {"start": 320.4, "end": 320.52, "word": " له", "probability": 0.583984375}, {"start": 320.52, "end": 320.72, "word": " ان", "probability": 0.58251953125}, {"start": 320.72, "end": 320.84, "word": " ال", "probability": 0.53857421875}, {"start": 320.84, "end": 320.98, "word": " U", "probability": 0.89404296875}, {"start": 320.98, "end": 321.4, "word": " هذه", "probability": 0.5185546875}, {"start": 321.4, "end": 321.9, "word": " is", "probability": 0.89501953125}, {"start": 321.9, "end": 322.48, "word": " non", "probability": 0.8955078125}, {"start": 322.48, "end": 323.64, "word": "-empty", "probability": 0.9176432291666666}, {"start": 323.64, "end": 324.14, "word": " يعني", "probability": 0.950927734375}, {"start": 324.14, "end": 324.62, "word": " على", "probability": 0.9580078125}, {"start": 324.62, "end": 325.82, "word": " الأقل", "probability": 0.98974609375}, {"start": 325.82, "end": 327.0, "word": " بدلجي", "probability": 0.898681640625}, {"start": 327.0, "end": 327.5, "word": " فيها", "probability": 0.990478515625}, {"start": 327.5, "end": 328.14, "word": " ولو", "probability": 0.8310546875}, {"start": 328.14, "end": 329.04, "word": " عنصر", "probability": 0.9757486979166666}, {"start": 329.04, "end": 330.54, "word": " واحدة", "probability": 0.88720703125}, {"start": 330.54, "end": 331.12, "word": " تمام", "probability": 0.7271728515625}, {"start": 331.12, "end": 331.86, "word": " يبقى", "probability": 0.82659912109375}, {"start": 331.86, "end": 332.26, "word": " باجي", "probability": 0.8478190104166666}, {"start": 332.26, "end": 332.82, "word": " بقوله", "probability": 0.7857259114583334}, {"start": 332.82, "end": 333.16, "word": " هنا", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 16, "seek": 35531, "start": 333.55, "end": 355.31, "text": "الـ U is not empty يعني أنا أدعي أنها ليست فارغة أو ليست فاية بقى بدك تجيبلي و لو عنصر و عادي لأن لو لجيت vector قدرت أكتبه بدلالة هدول", "tokens": [6027, 39184, 624, 307, 406, 6707, 37495, 22653, 41850, 5551, 3215, 3615, 1829, 14739, 11296, 32239, 14851, 6156, 9640, 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"end": 342.83, "word": " أدعي", "probability": 0.8621826171875}, {"start": 342.83, "end": 343.47, "word": " أنها", "probability": 0.8779296875}, {"start": 343.47, "end": 344.13, "word": " ليست", "probability": 0.97412109375}, {"start": 344.13, "end": 345.51, "word": " فارغة", "probability": 0.8575439453125}, {"start": 345.51, "end": 345.91, "word": " أو", "probability": 0.83544921875}, {"start": 345.91, "end": 346.41, "word": " ليست", "probability": 0.95947265625}, {"start": 346.41, "end": 346.91, "word": " فاية", "probability": 0.6923828125}, {"start": 346.91, "end": 347.21, "word": " بقى", "probability": 0.5806477864583334}, {"start": 347.21, "end": 347.61, "word": " بدك", "probability": 0.84619140625}, {"start": 347.61, "end": 348.13, "word": " تجيبلي", "probability": 0.94111328125}, {"start": 348.13, "end": 348.27, "word": " و", "probability": 0.4970703125}, {"start": 348.27, "end": 348.41, "word": " لو", "probability": 0.70751953125}, {"start": 348.41, "end": 348.85, "word": " عنصر", "probability": 0.7621256510416666}, {"start": 348.85, "end": 349.05, "word": " و", "probability": 0.6865234375}, {"start": 349.05, "end": 349.29, "word": " عادي", "probability": 0.7457682291666666}, {"start": 349.29, "end": 349.99, "word": " لأن", "probability": 0.4649658203125}, {"start": 349.99, "end": 351.29, "word": " لو", "probability": 0.86083984375}, {"start": 351.29, "end": 351.73, "word": " لجيت", "probability": 0.8001302083333334}, {"start": 351.73, "end": 352.25, "word": " vector", "probability": 0.51220703125}, {"start": 352.25, "end": 352.73, "word": " قدرت", "probability": 0.801025390625}, {"start": 352.73, "end": 353.53, "word": " أكتبه", "probability": 0.831494140625}, {"start": 353.53, "end": 354.55, "word": " بدلالة", "probability": 0.8544921875}, {"start": 354.55, "end": 355.31, "word": " هدول", "probability": 0.7736002604166666}], "temperature": 1.0}, {"id": 17, "seek": 38380, "start": 355.64, "end": 383.8, "text": "يبقى هذا ال element موجود فيه صحيح ولا لأ؟ لأن هذه مكتوبة على صيغة linear combination بالشكل هذا والصيغات هذه موجودة في R ماعنديش قيود عليهم يبقى سالي بموجة بصفر ماعندي مشكلة في هذه الحالة يبقى أنا بدعي أن هذه non-empty بدي أروح أجيب و لو عنصر واحد فقط موجود في هذه ال set بقول له اه because", "tokens": [1829, 3555, 4587, 7578, 23758, 2423, 4478, 3714, 29245, 23328, 8978, 3224, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 22807, 5296, 33456, 29538, 3714, 4117, 2655, 37746, 3660, 15844, 20328, 1829, 17082, 3660, 8213, 6562, 20666, 8592, 28820, 23758, 16070, 9381, 1829, 17082, 9307, 29538, 3714, 29245, 23328, 3660, 8978, 497, 19446, 3615, 1863, 16254, 8592, 12174, 1829, 23328, 25894, 16095, 7251, 3555, 4587, 7578, 8608, 6027, 1829, 4724, 2304, 29245, 3660, 4724, 9381, 5172, 2288, 19446, 3615, 1863, 16254, 37893, 28820, 3660, 8978, 29538, 21542, 6027, 3660, 7251, 3555, 4587, 7578, 41850, 4724, 3215, 3615, 1829, 14739, 29538, 2107, 12, 4543, 88, 4724, 16254, 5551, 32887, 5016, 5551, 7435, 1829, 3555, 4032, 45164, 18871, 9381, 2288, 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"probability": 0.83203125}, {"start": 360.62, "end": 360.98, "word": " هذه", "probability": 0.74755859375}, {"start": 360.98, "end": 361.52, "word": " مكتوبة", "probability": 0.85546875}, {"start": 361.52, "end": 361.66, "word": " على", "probability": 0.93310546875}, {"start": 361.66, "end": 362.14, "word": " صيغة", "probability": 0.8067626953125}, {"start": 362.14, "end": 362.52, "word": " linear", "probability": 0.73828125}, {"start": 362.52, "end": 363.38, "word": " combination", "probability": 0.888671875}, {"start": 363.38, "end": 364.04, "word": " بالشكل", "probability": 0.84130859375}, {"start": 364.04, "end": 364.4, "word": " هذا", "probability": 0.93896484375}, {"start": 364.4, "end": 365.54, "word": " والصيغات", "probability": 0.684716796875}, {"start": 365.54, "end": 365.86, "word": " هذه", "probability": 0.34423828125}, {"start": 365.86, "end": 366.46, "word": " موجودة", "probability": 0.8646240234375}, {"start": 366.46, "end": 366.6, "word": " في", "probability": 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"end": 374.02, "word": " الحالة", "probability": 0.9720052083333334}, {"start": 374.02, "end": 374.48, "word": " يبقى", "probability": 0.9644775390625}, {"start": 374.48, "end": 374.76, "word": " أنا", "probability": 0.71826171875}, {"start": 374.76, "end": 375.38, "word": " بدعي", "probability": 0.6763916015625}, {"start": 375.38, "end": 375.56, "word": " أن", "probability": 0.450439453125}, {"start": 375.56, "end": 375.92, "word": " هذه", "probability": 0.89208984375}, {"start": 375.92, "end": 376.12, "word": " non", "probability": 0.6630859375}, {"start": 376.12, "end": 376.64, "word": "-empty", "probability": 0.8017578125}, {"start": 376.64, "end": 376.92, "word": " بدي", "probability": 0.336181640625}, {"start": 376.92, "end": 377.12, "word": " أروح", "probability": 0.6500244140625}, {"start": 377.12, "end": 377.78, "word": " أجيب", "probability": 0.9464111328125}, {"start": 377.78, "end": 378.18, "word": " و", "probability": 0.62353515625}, {"start": 378.18, "end": 378.38, "word": " لو", "probability": 0.986328125}, {"start": 378.38, "end": 379.02, "word": " ��نصر", "probability": 0.9892578125}, {"start": 379.02, "end": 379.68, "word": " واحد", "probability": 0.99462890625}, {"start": 379.68, "end": 380.6, "word": " فقط", "probability": 0.9755859375}, {"start": 380.6, "end": 381.18, "word": " موجود", "probability": 0.9835611979166666}, {"start": 381.18, "end": 381.36, "word": " في", "probability": 0.9814453125}, {"start": 381.36, "end": 381.68, "word": " هذه", "probability": 0.97412109375}, {"start": 381.68, "end": 381.92, "word": " ال", "probability": 0.7626953125}, {"start": 381.92, "end": 382.14, "word": " set", "probability": 0.76220703125}, {"start": 382.14, "end": 382.98, "word": " بقول", "probability": 0.9501953125}, {"start": 382.98, "end": 383.18, "word": " له", "probability": 0.54150390625}, {"start": 383.18, "end": 383.46, "word": " اه", "probability": 0.6324462890625}, {"start": 383.46, "end": 383.8, "word": " because", "probability": 0.77197265625}], "temperature": 1.0}, {"id": 18, "seek": 40711, "start": 384.61, "end": 407.11, "text": "الـ zero موجود في ال U معقول؟ معقول ال zero vector موجود في ال U؟ اه معقول، معقول كيف؟ لو جدرها اكتب ال zero على صيغة linear compilation من هدول بيكبر كلامي صح؟ مظبوط يبقى باجي بقوله because since", "tokens": [6027, 39184, 4018, 3714, 29245, 23328, 8978, 2423, 624, 20449, 39648, 22807, 20449, 39648, 2423, 4018, 8062, 3714, 29245, 23328, 8978, 2423, 624, 22807, 1975, 3224, 20449, 39648, 12399, 20449, 39648, 9122, 33911, 22807, 45164, 10874, 3215, 2288, 11296, 1975, 4117, 2655, 3555, 2423, 4018, 15844, 20328, 1829, 17082, 3660, 8213, 40261, 9154, 8032, 3215, 12610, 4724, 1829, 4117, 3555, 2288, 28242, 10943, 1829, 20328, 5016, 22807, 3714, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 570, 1670], "avg_logprob": -0.3095588207244873, "compression_ratio": 1.5721649484536082, "no_speech_prob": 0.0, "words": [{"start": 384.61, "end": 385.15, "word": "الـ", "probability": 0.434814453125}, {"start": 385.15, "end": 385.61, "word": " zero", "probability": 0.37158203125}, {"start": 385.61, "end": 387.15, "word": " موجود", "probability": 0.9596354166666666}, {"start": 387.15, "end": 387.49, "word": " في", "probability": 0.94189453125}, {"start": 387.49, "end": 387.61, "word": " ال", "probability": 0.92041015625}, {"start": 387.61, "end": 387.87, "word": " U", "probability": 0.36279296875}, {"start": 387.87, "end": 389.49, "word": " معقول؟", "probability": 0.5647379557291666}, {"start": 389.49, "end": 390.79, "word": " معقول", "probability": 0.7705078125}, {"start": 390.79, "end": 391.01, "word": " ال", "probability": 0.6533203125}, {"start": 391.01, "end": 391.27, "word": " zero", "probability": 0.63330078125}, {"start": 391.27, "end": 391.67, "word": " vector", "probability": 0.91552734375}, {"start": 391.67, "end": 392.25, "word": " موجود", "probability": 0.9825846354166666}, {"start": 392.25, "end": 392.43, "word": " في", "probability": 0.97509765625}, {"start": 392.43, "end": 392.61, "word": " ال", "probability": 0.982421875}, {"start": 392.61, "end": 393.11, "word": " U؟", "probability": 0.850341796875}, {"start": 393.11, "end": 393.41, "word": " اه", "probability": 0.707763671875}, {"start": 393.41, "end": 393.95, "word": " معقول،", "probability": 0.697021484375}, {"start": 393.95, "end": 394.37, "word": " معقول", "probability": 0.747802734375}, {"start": 394.37, "end": 395.51, "word": " كيف؟", "probability": 0.74365234375}, {"start": 395.51, "end": 395.71, "word": " لو", "probability": 0.9326171875}, {"start": 395.71, "end": 396.17, "word": " جدرها", "probability": 0.6173095703125}, {"start": 396.17, "end": 396.63, "word": " اكتب", "probability": 0.921630859375}, {"start": 396.63, "end": 396.85, "word": " ال", "probability": 0.95947265625}, {"start": 396.85, "end": 397.17, "word": " zero", "probability": 0.83544921875}, {"start": 397.17, "end": 397.51, "word": " على", "probability": 0.80712890625}, {"start": 397.51, "end": 398.13, "word": " صيغة", "probability": 0.9359130859375}, {"start": 398.13, "end": 398.61, "word": " linear", "probability": 0.90771484375}, {"start": 398.61, "end": 399.37, "word": " compilation", "probability": 0.6689453125}, {"start": 399.37, "end": 399.99, "word": " من", "probability": 0.97705078125}, {"start": 399.99, "end": 400.37, "word": " هدول", "probability": 0.8889973958333334}, {"start": 400.37, "end": 400.71, "word": " بيكبر", "probability": 0.599267578125}, {"start": 400.71, "end": 401.17, "word": " كلامي", "probability": 0.93701171875}, {"start": 401.17, "end": 402.03, "word": " صح؟", "probability": 0.7784016927083334}, {"start": 402.03, "end": 402.89, "word": " مظبوط", "probability": 0.87861328125}, {"start": 402.89, "end": 403.49, "word": " يبقى", "probability": 0.732574462890625}, {"start": 403.49, "end": 403.91, "word": " باجي", "probability": 0.7718098958333334}, {"start": 403.91, "end": 404.51, "word": " بقوله", "probability": 0.8790690104166666}, {"start": 404.51, "end": 405.29, "word": " because", "probability": 0.6123046875}, {"start": 405.29, "end": 407.11, "word": " since", "probability": 0.41943359375}], "temperature": 1.0}, {"id": 19, "seek": 42256, "start": 408.24, "end": 422.56, "text": "لأن الـ zero هه .. بقدر اقول scalar zero في U1 scalar zero تاني في ال U2 زائد scalar zero في ال UK", "tokens": [1211, 33456, 2423, 39184, 4018, 8032, 3224, 4386, 4724, 28543, 2288, 1975, 39648, 39684, 4018, 8978, 624, 16, 39684, 4018, 6055, 7649, 1829, 8978, 2423, 624, 17, 30767, 16373, 3215, 39684, 4018, 8978, 2423, 7051], "avg_logprob": -0.3546006977558136, "compression_ratio": 1.346938775510204, "no_speech_prob": 0.0, "words": [{"start": 408.24, "end": 409.06, "word": "لأن", "probability": 0.5789794921875}, {"start": 409.06, "end": 410.24, "word": " الـ", "probability": 0.6181640625}, {"start": 410.24, "end": 410.58, "word": " zero", "probability": 0.404541015625}, {"start": 410.58, "end": 411.12, "word": " هه", 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{"start": 418.28, "end": 418.96, "word": " U2", "probability": 0.93994140625}, {"start": 418.96, "end": 420.22, "word": " زائد", "probability": 0.85302734375}, {"start": 420.22, "end": 420.72, "word": " scalar", "probability": 0.94677734375}, {"start": 420.72, "end": 421.46, "word": " zero", "probability": 0.87158203125}, {"start": 421.46, "end": 421.74, "word": " في", "probability": 0.97509765625}, {"start": 421.74, "end": 422.0, "word": " ال", "probability": 0.904296875}, {"start": 422.0, "end": 422.56, "word": " UK", "probability": 0.53466796875}], "temperature": 1.0}, {"id": 20, "seek": 44708, "start": 423.44, "end": 447.08, "text": "صحيح ولا لا يبقى كتبت الـ zero على صيغة linear combination من U1 و U2 و لغاية UK و ال scholars كلهم أخدتهم بأصفر حتى دي يبقى كلامي صحيح يبقى سعر ال U empty ولا ال non-empty non-empty بهاي جبت في عنصر ولو العنصر الصفرين", "tokens": [9381, 5016, 1829, 5016, 49429, 20193, 7251, 3555, 4587, 7578, 9122, 2655, 3555, 2655, 2423, 39184, 4018, 15844, 20328, 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"word": " كتبت", "probability": 0.9649658203125}, {"start": 426.34, "end": 426.66, "word": " الـ", "probability": 0.717041015625}, {"start": 426.66, "end": 426.84, "word": " zero", "probability": 0.2447509765625}, {"start": 426.84, "end": 427.2, "word": " على", "probability": 0.81396484375}, {"start": 427.2, "end": 427.84, "word": " صيغة", "probability": 0.9874267578125}, {"start": 427.84, "end": 428.38, "word": " linear", "probability": 0.83740234375}, {"start": 428.38, "end": 429.54, "word": " combination", "probability": 0.90869140625}, {"start": 429.54, "end": 429.9, "word": " من", "probability": 0.9775390625}, {"start": 429.9, "end": 430.52, "word": " U1", "probability": 0.6748046875}, {"start": 430.52, "end": 431.04, "word": " و", "probability": 0.9501953125}, {"start": 431.04, "end": 431.7, "word": " U2", "probability": 0.7021484375}, {"start": 431.7, "end": 431.94, "word": " و", "probability": 0.84228515625}, {"start": 431.94, "end": 432.6, "word": " لغاية", "probability": 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"word": " في", "probability": 0.97216796875}, {"start": 632.24, "end": 632.42, "word": " U", "probability": 0.94091796875}, {"start": 632.42, "end": 632.64, "word": " ولا", "probability": 0.8974609375}, {"start": 632.64, "end": 633.44, "word": " لأ", "probability": 0.755615234375}, {"start": 633.44, "end": 635.06, "word": " صح؟", "probability": 0.8115234375}], "temperature": 1.0}, {"id": 30, "seek": 66160, "start": 635.46, "end": 661.6, "text": "عشان أشكل linear combinations من U1 و U2 و U3 و UK خلصنا ال condition التاني بيدروح أخد ال condition التالت يبقى ال condition التالت بدا أقول له F U تساوي C1 U1 C1 U1 C1 زائد C2", "tokens": [3615, 8592, 7649, 5551, 8592, 28820, 8213, 21267, 9154, 624, 16, 4032, 624, 17, 4032, 624, 18, 4032, 624, 42, 16490, 1211, 9381, 8315, 2423, 4188, 16712, 7649, 1829, 4724, 25708, 32887, 5016, 5551, 9778, 3215, 2423, 4188, 16712, 6027, 2655, 7251, 3555, 4587, 7578, 2423, 4188, 16712, 6027, 2655, 4724, 28259, 5551, 39648, 46740, 479, 624, 6055, 3794, 995, 45865, 383, 16, 624, 16, 383, 16, 624, 16, 383, 16, 30767, 16373, 3215, 383, 17], "avg_logprob": -0.42086040199577035, "compression_ratio": 1.524390243902439, "no_speech_prob": 0.0, "words": [{"start": 635.46, "end": 636.12, "word": "عشان", "probability": 0.652099609375}, {"start": 636.12, "end": 636.72, "word": " أشكل", "probability": 0.3310953776041667}, {"start": 636.72, "end": 637.06, "word": " linear", "probability": 0.10284423828125}, {"start": 637.06, "end": 637.94, "word": " combinations", "probability": 0.55859375}, {"start": 637.94, "end": 638.26, "word": " من", "probability": 0.71484375}, {"start": 638.26, "end": 638.78, "word": " U1", "probability": 0.65283203125}, {"start": 638.78, "end": 638.96, "word": " و", "probability": 0.76953125}, {"start": 638.96, "end": 639.36, "word": " U2", "probability": 0.77099609375}, {"start": 639.36, "end": 639.56, "word": " و", "probability": 0.974609375}, {"start": 639.56, "end": 640.06, "word": " U3", "probability": 0.9501953125}, {"start": 640.06, "end": 640.28, "word": " و", "probability": 0.99169921875}, {"start": 640.28, "end": 640.8, "word": " UK", "probability": 0.642822265625}, {"start": 640.8, "end": 641.72, "word": " خلصنا", "probability": 0.8406982421875}, {"start": 641.72, "end": 641.8, "word": " ال", "probability": 0.916015625}, {"start": 641.8, "end": 642.16, "word": " condition", "probability": 0.92919921875}, {"start": 642.16, "end": 642.68, "word": " التاني", "probability": 0.8680013020833334}, {"start": 642.68, "end": 643.18, "word": " بيدروح", "probability": 0.47760009765625}, {"start": 643.18, "end": 643.48, "word": " أخد", "probability": 0.8181966145833334}, {"start": 643.48, "end": 643.58, "word": " ال", "probability": 0.91455078125}, {"start": 643.58, "end": 644.04, "word": " condition", "probability": 0.94482421875}, {"start": 644.04, "end": 644.78, "word": " التالت", "probability": 0.904296875}, {"start": 644.78, "end": 645.68, "word": " يبقى", "probability": 0.9483642578125}, {"start": 645.68, "end": 645.84, "word": " ال", "probability": 0.94775390625}, {"start": 645.84, "end": 646.5, "word": " condition", "probability": 0.9873046875}, {"start": 646.5, "end": 647.72, "word": " التالت", "probability": 0.9816080729166666}, {"start": 647.72, "end": 648.4, "word": " بدا", "probability": 0.40869140625}, {"start": 648.4, "end": 648.96, "word": " أقول", "probability": 0.3607177734375}, {"start": 648.96, "end": 649.24, "word": " له", "probability": 0.296630859375}, {"start": 649.24, "end": 649.76, "word": " F", "probability": 0.63720703125}, {"start": 649.76, "end": 651.1, "word": " U", "probability": 0.6376953125}, {"start": 651.1, "end": 652.0, "word": " تساوي", "probability": 0.735931396484375}, {"start": 652.0, "end": 653.2, "word": " C1", "probability": 0.817138671875}, {"start": 653.2, "end": 654.26, "word": " U1", "probability": 0.771728515625}, {"start": 654.26, "end": 655.16, "word": " C1", "probability": 0.634765625}, {"start": 655.16, "end": 656.3, "word": " U1", "probability": 0.499664306640625}, {"start": 656.3, "end": 657.92, "word": " C1", "probability": 0.6239013671875}, {"start": 657.92, "end": 659.3, "word": " زائد", "probability": 0.6009928385416666}, {"start": 659.3, "end": 661.6, "word": " C2", "probability": 0.78857421875}], "temperature": 1.0}, {"id": 31, "seek": 68663, "start": 662.83, "end": 686.63, "text": "U2 زائد زائد CK UK والتاني هذا أخدت ال V بده يساوي A1 U1 زائد A2 U2 زائد AK UK موجود هذا في ال U ولا لا؟ مظبوط", "tokens": [52, 17, 30767, 16373, 3215, 30767, 16373, 3215, 383, 42, 7051, 16070, 2655, 7649, 1829, 23758, 5551, 9778, 3215, 2655, 2423, 691, 47525, 3224, 7251, 3794, 995, 45865, 316, 16, 624, 16, 30767, 16373, 3215, 316, 17, 624, 17, 30767, 16373, 3215, 24789, 7051, 3714, 29245, 23328, 23758, 8978, 2423, 624, 49429, 20193, 22807, 3714, 19913, 3555, 2407, 9566], "avg_logprob": -0.2348958323399226, "compression_ratio": 1.3951612903225807, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 662.83, "end": 663.97, "word": "U2", "probability": 0.58953857421875}, {"start": 663.97, "end": 665.09, "word": " زائد", "probability": 0.5191548665364584}, {"start": 665.09, "end": 666.09, "word": " زائد", "probability": 0.8815104166666666}, {"start": 666.09, "end": 667.57, "word": " CK", "probability": 0.801025390625}, {"start": 667.57, "end": 669.11, "word": " UK", "probability": 0.56884765625}, {"start": 669.11, "end": 670.65, "word": " والتاني", "probability": 0.8375244140625}, {"start": 670.65, "end": 671.05, "word": " هذا", "probability": 0.853515625}, {"start": 671.05, "end": 671.83, "word": " أخدت", "probability": 0.702392578125}, {"start": 671.83, "end": 672.07, "word": " ال", "probability": 0.88134765625}, {"start": 672.07, "end": 672.65, "word": " V", "probability": 0.90380859375}, {"start": 672.65, "end": 673.53, "word": " بده", "probability": 0.47406005859375}, {"start": 673.53, "end": 674.21, "word": " يساوي", "probability": 0.97509765625}, {"start": 674.21, "end": 675.85, "word": " A1", "probability": 0.8291015625}, {"start": 675.85, "end": 676.69, "word": " U1", "probability": 0.6817626953125}, {"start": 676.69, "end": 677.45, "word": " زائد", "probability": 0.87548828125}, {"start": 677.45, "end": 678.17, "word": " A2", "probability": 0.985595703125}, {"start": 678.17, "end": 679.07, "word": " U2", "probability": 0.9736328125}, {"start": 679.07, "end": 680.17, "word": " زائد", "probability": 0.9798177083333334}, {"start": 680.17, "end": 680.89, "word": " AK", "probability": 0.966796875}, {"start": 680.89, "end": 682.11, "word": " UK", "probability": 0.958984375}, {"start": 682.11, "end": 683.01, "word": " موجود", "probability": 0.9539388020833334}, {"start": 683.01, "end": 683.29, "word": " هذا", "probability": 0.86865234375}, {"start": 683.29, "end": 683.51, "word": " في", "probability": 0.95751953125}, {"start": 683.51, "end": 683.61, "word": " ال", "probability": 0.9111328125}, {"start": 683.61, "end": 683.77, "word": " U", "probability": 0.88525390625}, {"start": 683.77, "end": 683.97, "word": " ولا", "probability": 0.87939453125}, {"start": 683.97, "end": 685.37, "word": " لا؟", "probability": 0.6474609375}, {"start": 685.37, "end": 686.63, "word": " مظبوط", "probability": 0.899609375}], "temperature": 1.0}, {"id": 32, "seek": 69938, "start": 687.2, "end": 699.38, "text": "موجات في ال U ليش؟ انه كل واحد فيهم كتبته على شكل linear combination من مين؟ من ال U1 و U2 و لغاية UK", "tokens": [2304, 29245, 9307, 8978, 2423, 624, 32239, 8592, 22807, 16472, 3224, 28242, 36764, 24401, 8978, 16095, 9122, 2655, 3555, 47395, 15844, 13412, 28820, 8213, 6562, 9154, 3714, 9957, 22807, 9154, 2423, 624, 16, 4032, 624, 17, 4032, 5296, 17082, 995, 10632, 7051], "avg_logprob": -0.22438227021416954, "compression_ratio": 1.183206106870229, "no_speech_prob": 0.0, "words": [{"start": 687.2, "end": 687.8, "word": "موجات", "probability": 0.5537923177083334}, {"start": 687.8, "end": 687.92, "word": " في", "probability": 0.7880859375}, {"start": 687.92, "end": 688.66, "word": " ال", "probability": 0.8447265625}, {"start": 688.66, "end": 688.82, "word": " U", "probability": 0.55224609375}, {"start": 688.82, "end": 689.36, "word": " ليش؟", "probability": 0.65283203125}, {"start": 689.36, "end": 689.64, "word": " انه", "probability": 0.68359375}, {"start": 689.64, "end": 689.86, "word": " كل", "probability": 0.85205078125}, {"start": 689.86, "end": 690.3, "word": " واحد", "probability": 0.993896484375}, {"start": 690.3, "end": 690.66, "word": " فيهم", "probability": 0.935546875}, {"start": 690.66, "end": 691.26, "word": " كتبته", "probability": 0.951416015625}, {"start": 691.26, "end": 691.5, "word": " على", "probability": 0.91015625}, {"start": 691.5, "end": 692.02, "word": " شكل", "probability": 0.97412109375}, {"start": 692.02, "end": 692.68, "word": " linear", "probability": 0.62744140625}, {"start": 692.68, "end": 693.98, "word": " combination", "probability": 0.94873046875}, {"start": 693.98, "end": 694.78, "word": " من", "probability": 0.9228515625}, {"start": 694.78, "end": 695.22, "word": " مين؟", "probability": 0.7001139322916666}, {"start": 695.22, "end": 695.36, "word": " من", "probability": 0.9833984375}, {"start": 695.36, "end": 695.52, "word": " ال", "probability": 0.7099609375}, {"start": 695.52, "end": 696.14, "word": " U1", "probability": 0.8701171875}, {"start": 696.14, "end": 696.38, "word": " و", "probability": 0.97216796875}, {"start": 696.38, "end": 697.1, "word": " U2", "probability": 0.87939453125}, {"start": 697.1, "end": 697.78, "word": " و", "probability": 0.88427734375}, {"start": 697.78, "end": 698.64, "word": " لغاية", "probability": 0.9735107421875}, {"start": 698.64, "end": 699.38, "word": " UK", "probability": 0.89013671875}], "temperature": 1.0}, {"id": 33, "seek": 72502, "start": 700.18, "end": 725.02, "text": "بدا اثبت له ان مجموعهم هدول موجود في ال U يبقى بادروح اخد ال U زائد ال V ال U زائد ال V وقتها الساوية اذا باداجي اجمع component wise ياباناتي يبقى C1U1 زائد كل عنصر مع نظيره A1U1", "tokens": [3555, 28259, 1975, 12984, 3555, 2655, 46740, 16472, 3714, 7435, 2304, 45367, 16095, 8032, 3215, 12610, 3714, 29245, 23328, 8978, 2423, 624, 7251, 3555, 4587, 7578, 4724, 18513, 32887, 5016, 1975, 9778, 3215, 2423, 624, 30767, 16373, 3215, 2423, 691, 2423, 624, 30767, 16373, 3215, 2423, 691, 4032, 38149, 11296, 21136, 995, 2407, 10632, 1975, 15730, 4724, 18513, 26108, 1829, 1975, 7435, 2304, 3615, 6542, 10829, 7251, 16758, 7649, 9307, 1829, 7251, 3555, 4587, 7578, 383, 16, 52, 16, 30767, 16373, 3215, 28242, 18871, 9381, 2288, 20449, 8717, 19913, 13546, 3224, 316, 16, 52, 16], "avg_logprob": -0.28483073382327956, "compression_ratio": 1.5698924731182795, "no_speech_prob": 0.0, "words": [{"start": 700.18, "end": 700.6, "word": "بدا", "probability": 0.17010498046875}, {"start": 700.6, "end": 701.32, "word": " اثبت", "probability": 0.8074951171875}, {"start": 701.32, "end": 701.48, "word": " له", "probability": 0.397216796875}, {"start": 701.48, "end": 701.78, "word": " ان", "probability": 0.779296875}, {"start": 701.78, "end": 702.64, "word": " مجموعهم", "probability": 0.86201171875}, {"start": 702.64, "end": 703.38, "word": " هدول", "probability": 0.6962076822916666}, {"start": 703.38, "end": 704.72, "word": " موجود", "probability": 0.9684244791666666}, {"start": 704.72, "end": 704.94, "word": " في", "probability": 0.8671875}, {"start": 704.94, "end": 705.08, "word": " ال", "probability": 0.8583984375}, {"start": 705.08, "end": 705.32, "word": " U", "probability": 0.412353515625}, {"start": 705.32, "end": 706.18, "word": " يبقى", "probability": 0.900146484375}, {"start": 706.18, "end": 706.66, "word": " بادروح", "probability": 0.474945068359375}, {"start": 706.66, "end": 707.18, "word": " اخد", "probability": 0.8776041666666666}, {"start": 707.18, "end": 707.46, "word": " ال", "probability": 0.95263671875}, {"start": 707.46, "end": 707.9, "word": " U", "probability": 0.90869140625}, {"start": 707.9, "end": 709.08, "word": " زائد", "probability": 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715.0, "end": 715.82, "word": " component", "probability": 0.77490234375}, {"start": 715.82, "end": 716.3, "word": " wise", "probability": 0.587890625}, {"start": 716.3, "end": 717.04, "word": " ياباناتي", "probability": 0.600390625}, {"start": 717.04, "end": 718.04, "word": " يبقى", "probability": 0.9722900390625}, {"start": 718.04, "end": 719.72, "word": " C1U1", "probability": 0.7724609375}, {"start": 719.72, "end": 720.9, "word": " زائد", "probability": 0.9187825520833334}, {"start": 720.9, "end": 721.18, "word": " كل", "probability": 0.9599609375}, {"start": 721.18, "end": 721.66, "word": " عنصر", "probability": 0.9464518229166666}, {"start": 721.66, "end": 721.86, "word": " مع", "probability": 0.9951171875}, {"start": 721.86, "end": 722.52, "word": " نظيره", "probability": 0.7611083984375}, {"start": 722.52, "end": 725.02, "word": " A1U1", "probability": 0.917236328125}], "temperature": 1.0}, {"id": 34, "seek": 74810, "start": 725.22, "end": 748.1, "text": "أخدت هذا المع بعض الجزء الثاني مع الجزء الثاني يبقى c2u2 زائد a2u2 شكل اللي عندنا هنا زائد وضلت ماشي لغاية ما وصلت لآخر عنصر اللي هو ckuk زائد akuk", "tokens": [10721, 9778, 3215, 2655, 23758, 9673, 3615, 45030, 11242, 25724, 11622, 38207, 6024, 104, 7649, 1829, 20449, 25724, 11622, 38207, 6024, 104, 7649, 1829, 7251, 3555, 4587, 7578, 269, 17, 84, 17, 30767, 16373, 3215, 257, 17, 84, 17, 13412, 28820, 13672, 1829, 43242, 8315, 34105, 30767, 16373, 3215, 4032, 11242, 1211, 2655, 3714, 33599, 1829, 5296, 17082, 995, 10632, 19446, 4032, 36520, 2655, 5296, 148, 95, 34740, 18871, 9381, 2288, 13672, 1829, 31439, 269, 74, 2034, 30767, 16373, 3215, 9308, 2034], "avg_logprob": -0.1841114468603249, "compression_ratio": 1.638157894736842, "no_speech_prob": 0.0, "words": [{"start": 725.22, "end": 725.96, "word": "أخدت", "probability": 0.5941162109375}, {"start": 725.96, "end": 726.16, "word": " هذا", "probability": 0.351318359375}, {"start": 726.16, "end": 726.46, "word": " المع", "probability": 0.69970703125}, 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"word": " ckuk", "probability": 0.8006184895833334}, {"start": 744.62, "end": 745.94, "word": " زائد", "probability": 0.9012044270833334}, {"start": 745.94, "end": 748.1, "word": " akuk", "probability": 0.928466796875}], "temperature": 1.0}, {"id": 35, "seek": 77103, "start": 750.11, "end": 771.03, "text": "هذا الكلام بده يساوي ممكن اخد U1 عامل مشترك بيظل C1 زائد A1 في ال U1 زائد C2 زائد A2 في ال U2 زائد زائد الى ان نصل الى CK زائد AK كله في ال UK", "tokens": [3224, 15730, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 3714, 43020, 1975, 9778, 3215, 624, 16, 6225, 10943, 1211, 37893, 2655, 31747, 4724, 1829, 19913, 1211, 383, 16, 30767, 16373, 3215, 316, 16, 8978, 2423, 624, 16, 30767, 16373, 3215, 383, 17, 30767, 16373, 3215, 316, 17, 8978, 2423, 624, 17, 30767, 16373, 3215, 30767, 16373, 3215, 2423, 7578, 16472, 8717, 36520, 2423, 7578, 383, 42, 30767, 16373, 3215, 24789, 28242, 3224, 8978, 2423, 7051], "avg_logprob": -0.18429487886337134, "compression_ratio": 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0.783203125}], "temperature": 1.0}, {"id": 36, "seek": 79483, "start": 772.91, "end": 794.83, "text": "يبقى بالنسبة لي اليوم ما له is a subspace of V سا اليوم اللي هو ال Spain تبع U1 و U2 و UK is a subspace of V", "tokens": [1829, 3555, 4587, 7578, 20666, 1863, 35457, 3660, 32239, 45595, 20498, 19446, 46740, 307, 257, 2090, 17940, 295, 691, 8608, 995, 45595, 20498, 13672, 1829, 31439, 2423, 12838, 6055, 3555, 3615, 624, 16, 4032, 624, 17, 4032, 7051, 307, 257, 2090, 17940, 295, 691], "avg_logprob": -0.3161458359824287, "compression_ratio": 1.3392857142857142, "no_speech_prob": 0.0, "words": [{"start": 772.91, "end": 773.35, "word": "يبقى", "probability": 0.8076171875}, {"start": 773.35, "end": 773.61, "word": " بالنسبة", "probability": 0.69012451171875}, {"start": 773.61, "end": 773.87, "word": " لي", "probability": 0.7060546875}, {"start": 773.87, "end": 774.29, "word": " اليوم", "probability": 0.6947021484375}, {"start": 774.29, "end": 774.53, "word": " ما", "probability": 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المحاضرة الصبح والتلات المرة اللي بدأت بجينا بنجيب أمثلة على ال subspaces يبقى كأنه احنا جيبنا مثال جديد على من على ال subspaces", "tokens": [40228, 22653, 35186, 4724, 8315, 2655, 9122, 33456, 3224, 29538, 28239, 19913, 2288, 10632, 50113, 6027, 10874, 16254, 3215, 15844, 9154, 15844, 2423, 2090, 79, 2116, 37893, 1975, 5016, 8315, 9673, 5016, 46958, 25720, 31767, 49628, 16070, 2655, 1211, 9307, 9673, 25720, 13672, 1829, 47525, 10721, 2655, 4724, 7435, 1829, 8315, 44945, 7435, 1829, 3555, 5551, 2304, 12984, 37977, 15844, 2423, 2090, 79, 2116, 7251, 3555, 4587, 7578, 9122, 33456, 3224, 1975, 5016, 8315, 10874, 1829, 3555, 8315, 50113, 6027, 10874, 16254, 3215, 15844, 9154, 15844, 2423, 2090, 79, 2116], "avg_logprob": -0.14259958332711523, "compression_ratio": 1.9764705882352942, "no_speech_prob": 0.0, "words": [{"start": 795.94, "end": 796.36, "word": "يعني", "probability": 0.896240234375}, {"start": 796.36, "end": 796.5, "word": " يا", "probability": 0.96484375}, {"start": 796.5, 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"start": 816.6, "end": 844.74, "text": "طب في عندي ملاحظة هنا الملاحظة ما يأتي لما اقول يا بنات ان ال elements هدول اللي هو U1 و U2 هدول Spain V سؤالي هو هل بقدر اكتب اي واحد فيهم بدلالة الباقي يعني هل بقدر اكتب U2 بدلالة U1 و U2 و U3 و UK و لا بقدر نقدر", "tokens": [9566, 3555, 8978, 18871, 16254, 3714, 15040, 5016, 19913, 3660, 34105, 9673, 15040, 5016, 19913, 3660, 19446, 7251, 10721, 31371, 5296, 15042, 1975, 39648, 35186, 4724, 8315, 2655, 16472, 2423, 4959, 8032, 3215, 12610, 13672, 1829, 31439, 624, 16, 4032, 624, 17, 8032, 3215, 12610, 12838, 691, 8608, 33604, 6027, 1829, 31439, 8032, 1211, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 1975, 1829, 36764, 24401, 8978, 16095, 47525, 1211, 6027, 3660, 29739, 995, 38436, 37495, 22653, 8032, 1211, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 624, 17, 47525, 1211, 6027, 3660, 624, 16, 4032, 624, 17, 4032, 624, 18, 4032, 624, 42, 4032, 20193, 4724, 28543, 2288, 8717, 28543, 2288], "avg_logprob": -0.14041385403624526, "compression_ratio": 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{"start": 938.33, "end": 938.73, "word": " و", "probability": 0.892578125}, {"start": 938.73, "end": 939.61, "word": " U2", "probability": 0.84423828125}, {"start": 939.61, "end": 940.33, "word": " و", "probability": 0.99267578125}, {"start": 940.33, "end": 941.23, "word": " UK", "probability": 0.59130859375}, {"start": 941.23, "end": 943.75, "word": " والـ", "probability": 0.6177978515625}, {"start": 943.75, "end": 944.17, "word": " I", "probability": 0.91943359375}, {"start": 944.17, "end": 944.91, "word": " من", "probability": 0.98095703125}, {"start": 944.91, "end": 945.27, "word": " الـ", "probability": 0.6585693359375}, {"start": 945.27, "end": 945.71, "word": " 1", "probability": 0.7353515625}, {"start": 945.71, "end": 946.79, "word": " لغاية", "probability": 0.9722900390625}, {"start": 946.79, "end": 947.31, "word": " 8", "probability": 0.267822265625}, {"start": 947.31, "end": 948.63, "word": " لغاية", "probability": 0.9881591796875}, {"start": 948.63, "end": 949.01, "word": " الـ", "probability": 0.888916015625}, {"start": 949.01, "end": 949.43, "word": " K", "probability": 0.82470703125}, {"start": 949.43, "end": 950.29, "word": " because", "probability": 0.5712890625}, {"start": 950.29, "end": 952.81, "word": " شو", "probability": 0.684814453125}, {"start": 952.81, "end": 953.53, "word": " السبب؟", "probability": 0.955322265625}], "temperature": 1.0}, {"id": 43, "seek": 96702, "start": 954.9, "end": 967.02, "text": "لو جيت لل U1 بقدر اكتب 1 في ال U1 0U2 0U3 وضل ماشي لغاية 0UK", "tokens": [1211, 2407, 10874, 36081, 24976, 624, 16, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 502, 8978, 2423, 624, 16, 1958, 52, 17, 1958, 52, 18, 4032, 11242, 1211, 3714, 33599, 1829, 5296, 17082, 995, 10632, 1958, 52, 42], "avg_logprob": -0.29947917125163936, "compression_ratio": 1.058139534883721, "no_speech_prob": 0.0, "words": [{"start": 954.9, "end": 955.32, "word": "لو", "probability": 0.8173828125}, {"start": 955.32, "end": 955.62, "word": " جيت", "probability": 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"text": "interpretation of this subspace of this subspace is a plane is a plane and find", "tokens": [41935, 399, 295, 341, 2090, 17940, 295, 341, 2090, 17940, 307, 257, 5720, 307, 257, 5720, 293, 915], "avg_logprob": -0.21175986528396606, "compression_ratio": 1.3620689655172413, "no_speech_prob": 0.0, "words": [{"start": 1119.2099999999998, "end": 1120.61, "word": "interpretation", "probability": 0.5556640625}, {"start": 1120.61, "end": 1122.01, "word": " of", "probability": 0.88671875}, {"start": 1122.01, "end": 1122.25, "word": " this", "probability": 0.95263671875}, {"start": 1122.25, "end": 1123.19, "word": " subspace", "probability": 0.892822265625}, {"start": 1123.19, "end": 1130.17, "word": " of", "probability": 0.69970703125}, {"start": 1130.17, "end": 1130.43, "word": " this", "probability": 0.95849609375}, {"start": 1130.43, "end": 1131.19, "word": " subspace", "probability": 0.93896484375}, {"start": 1131.19, "end": 1131.61, "word": " is", "probability": 0.93701171875}, 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"its", "probability": 0.355712890625}, {"start": 1143.67, "end": 1144.63, "word": " equation", "probability": 0.95703125}, {"start": 1144.63, "end": 1146.39, "word": " يبقى", "probability": 0.883544921875}, {"start": 1146.39, "end": 1146.73, "word": " بدنا", "probability": 0.92724609375}, {"start": 1146.73, "end": 1147.15, "word": " كمان", "probability": 0.9405924479166666}, {"start": 1147.15, "end": 1147.89, "word": " جديش", "probability": 0.6592610677083334}, {"start": 1147.89, "end": 1148.87, "word": " المعادلة", "probability": 0.974609375}, {"start": 1148.87, "end": 1149.73, "word": " تبعته", "probability": 0.8939208984375}], "temperature": 1.0}, {"id": 51, "seek": 121850, "start": 1199.32, "end": 1218.5, "text": "نرجع لسؤالنا مرة ثانية يبجي أول مثال على هذا الموضوع بقول ما يأتي بيقول إن مجموعة كل العناصر اللي في R3 اللي ماقدر أكتبه على الشكل التالي يبجي أنا جيت على R3 في يوتيوب اللي أخدت كل العناصر", "tokens": [1863, 47341, 3615, 5296, 3794, 33604, 6027, 8315, 3714, 25720, 38637, 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هذا الكلام قطة مع بعض حيث A وB are any real numbers يبقى as a subspace of R", "tokens": [6027, 20292, 43242, 9673, 31747, 49401, 16247, 12610, 7578, 316, 30767, 16373, 3215, 363, 9673, 31747, 49401, 6024, 104, 7649, 10632, 28239, 995, 4587, 9381, 316, 9673, 31747, 49401, 16712, 6027, 2655, 3660, 1975, 2655, 1863, 9957, 363, 28242, 16247, 22488, 18513, 38392, 6055, 5016, 4587, 4587, 23758, 2423, 28820, 10943, 12174, 9566, 3660, 20449, 45030, 11242, 11331, 1829, 12984, 316, 4032, 33, 366, 604, 957, 3547, 7251, 3555, 4587, 7578, 382, 257, 2090, 17940, 295, 497], "avg_logprob": -0.20442707645587432, "compression_ratio": 1.5810055865921788, "no_speech_prob": 0.0, "words": [{"start": 1218.91, "end": 1219.35, "word": "اللي", "probability": 0.386474609375}, {"start": 1219.35, "end": 1219.63, "word": " عند", "probability": 0.955078125}, {"start": 1219.63, "end": 1220.25, "word": " المركبة", "probability": 0.83056640625}, {"start": 1220.25, "end": 1220.75, "word": " الأولى", "probability": 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"seek": 133283, "start": 1309.45, "end": 1332.83, "text": "طبعا المطلوب الأول هحله بأكثر من طريقة الطريقة الأولى اللى هي الطريقة الروتينية اللى متعودين عليها و بعدين هعلمك طريقة جديدة يمكن تكون أسهل أو أكثر الله أعلم احنا مش عارفين لما نجي نشوف خلينا مع الطريقة الأولى انا عندى كل الـU كل العناصر اللى بالشكل اللى عندنا هذا تمام؟", "tokens": [9566, 3555, 3615, 995, 9673, 9566, 1211, 37746, 16247, 12610, 8032, 5016, 1211, 3224, 4724, 10721, 4117, 49115, 9154, 23032, 16572, 28671, 41950, 16572, 28671, 16247, 12610, 7578, 13672, 7578, 39896, 41950, 16572, 28671, 2423, 32887, 2655, 9957, 10632, 13672, 7578, 44650, 3615, 23328, 9957, 25894, 11296, 4032, 39182, 9957, 8032, 3615, 19528, 4117, 23032, 16572, 28671, 10874, 16254, 41891, 7251, 43020, 6055, 30544, 5551, 3794, 3224, 1211, 34051, 5551, 4117, 49115, 21984, 5551, 3615, 19528, 1975, 5016, 8315, 37893, 6225, 9640, 5172, 9957, 5296, 15042, 8717, 7435, 1829, 8717, 8592, 38688, 16490, 1211, 9957, 995, 20449, 41950, 16572, 28671, 16247, 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