diff --git "a/PL9fwy3NUQKwZ3Vc5NGzzNwnA5qKW4lNoy/Ct7ethd1brI_raw.json" "b/PL9fwy3NUQKwZ3Vc5NGzzNwnA5qKW4lNoy/Ct7ethd1brI_raw.json"
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+{"segments": [{"id": 1, "seek": 270, "start": 0.0, "end": 2.7, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.4117838541666667, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.0029277801513671875, "words": [{"start": 0.0, "end": 2.7, "word": "موسيقى", "probability": 0.72119140625}], "temperature": 1.0}, {"id": 2, "seek": 3464, "start": 8.66, "end": 34.64, "text": "أحنا المرة الماضية بدأنا بال cross product و أعطينا ال definition تبع ال cross product ثم أعطينا على ذلك مثالين بنذكر تذكير فقط بالتعريف تبع ال cross product لإنه لازمنا بعد قليل ثم نذهب إلى خواص ال cross product المرة اللي فيها دي كلها لو عدنا two vectors U and ال V عرفنا ال U cross ال V بالطريقة", "tokens": [10721, 5016, 8315, 9673, 25720, 9673, 46958, 10632, 47525, 10721, 8315, 20666, 3278, 1674, 4032, 5551, 3615, 9566, 1829, 8315, 2423, 7123, 6055, 3555, 3615, 2423, 3278, 1674, 38637, 2304, 5551, 3615, 9566, 1829, 8315, 15844, 29910, 23275, 50113, 6027, 9957, 44945, 8848, 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"text": "يبقى الـ scalar بيقول اللي مش عارفونا برا فبصير عندي R في S مضروبات بعض برا وفضل عندي ال cross product ما بين ال vectors U وV", "tokens": [1829, 3555, 4587, 7578, 2423, 39184, 39684, 4724, 1829, 39648, 13672, 1829, 37893, 6225, 9640, 5172, 2407, 8315, 4724, 23557, 6156, 3555, 9381, 13546, 18871, 16254, 497, 8978, 318, 3714, 11242, 32887, 3555, 9307, 45030, 11242, 4724, 23557, 4032, 5172, 11242, 1211, 18871, 16254, 2423, 3278, 1674, 19446, 49374, 2423, 18875, 624, 4032, 53], "avg_logprob": -0.3880681937391108, "compression_ratio": 1.3636363636363635, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 158.67, "end": 159.67, "word": "يبقى", "probability": 0.6037445068359375}, {"start": 159.67, "end": 159.81, "word": " الـ", "probability": 0.2069854736328125}, {"start": 159.81, "end": 160.09, "word": " scalar", "probability": 0.479736328125}, {"start": 160.09, "end": 160.51, "word": " بيقول", "probability": 0.5799967447916666}, {"start": 160.51, "end": 160.65, "word": " 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{"start": 362.86, "end": 363.42, "word": " أو", "probability": 0.7890625}, {"start": 363.42, "end": 363.72, "word": " في", "probability": 0.93017578125}, {"start": 363.72, "end": 364.46, "word": " متجه", "probability": 0.9659830729166666}, {"start": 364.46, "end": 365.16, "word": " موازي", "probability": 0.925537109375}, {"start": 365.16, "end": 365.5, "word": " الهو", "probability": 0.4766438802083333}, {"start": 365.5, "end": 366.04, "word": " كروس", "probability": 0.580810546875}, {"start": 366.04, "end": 366.84, "word": " بتبقى", "probability": 0.7264404296875}, {"start": 366.84, "end": 367.24, "word": " الزاوية", "probability": 0.88564453125}, {"start": 367.24, "end": 367.56, "word": " بينهم", "probability": 0.954833984375}, {"start": 367.56, "end": 368.24, "word": " كده؟", "probability": 0.74505615234375}], "temperature": 1.0}, {"id": 16, "seek": 39525, "start": 380.03, "end": 395.25, "text": "معنى هذا الكلام أن الـ zero will you are parallel vectors يبقى من الآن فساعدني الـ zero عبارة عن vector parallel to any other vector", "tokens": [2304, 3615, 1863, 7578, 23758, 2423, 28820, 10943, 14739, 2423, 39184, 4018, 486, 291, 366, 8952, 18875, 7251, 3555, 4587, 7578, 9154, 6024, 48506, 6156, 3794, 995, 22488, 22653, 2423, 39184, 4018, 6225, 3555, 9640, 3660, 18871, 8062, 8952, 281, 604, 661, 8062], "avg_logprob": -0.3549360849640586, "compression_ratio": 1.3208955223880596, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 380.03, "end": 381.03, "word": "معنى", "probability": 0.645965576171875}, {"start": 381.03, "end": 381.31, "word": " هذا", "probability": 0.798828125}, {"start": 381.31, "end": 381.91, "word": " الكلام", "probability": 0.9108072916666666}, {"start": 381.91, "end": 382.37, "word": " أن", "probability": 0.35302734375}, {"start": 382.37, "end": 382.67, "word": " الـ", "probability": 0.382080078125}, {"start": 382.67, "end": 383.05, "word": " zero", "probability": 0.373291015625}, {"start": 383.05, "end": 383.55, "word": " will", "probability": 0.53076171875}, {"start": 383.55, "end": 383.99, "word": " you", "probability": 0.625}, {"start": 383.99, "end": 384.69, "word": " are", "probability": 0.88818359375}, {"start": 384.69, "end": 385.69, "word": " parallel", "probability": 0.78271484375}, {"start": 385.69, "end": 386.81, "word": " vectors", "probability": 0.9521484375}, {"start": 386.81, "end": 388.25, "word": " يبقى", "probability": 0.8140869140625}, {"start": 388.25, "end": 388.41, "word": " من", "probability": 0.84130859375}, {"start": 388.41, "end": 388.93, "word": " الآن", "probability": 0.667236328125}, {"start": 388.93, "end": 389.87, "word": " فساعدني", "probability": 0.7033203125}, {"start": 389.87, "end": 390.21, "word": " الـ", "probability": 0.612548828125}, {"start": 390.21, "end": 390.67, "word": " zero", "probability": 0.8291015625}, {"start": 390.67, "end": 391.87, "word": " عبارة", "probability": 0.9920654296875}, {"start": 391.87, "end": 392.13, "word": " عن", "probability": 0.994140625}, {"start": 392.13, "end": 392.49, "word": " vector", "probability": 0.8349609375}, {"start": 392.49, "end": 393.27, "word": " parallel", "probability": 0.89208984375}, {"start": 393.27, "end": 393.77, "word": " to", "probability": 0.9814453125}, {"start": 393.77, "end": 394.21, "word": " any", "probability": 0.90966796875}, {"start": 394.21, "end": 394.73, "word": " other", "probability": 0.8974609375}, {"start": 394.73, "end": 395.25, "word": " vector", "probability": 0.9599609375}], "temperature": 1.0}, {"id": 17, "seek": 41516, "start": 395.78, "end": 415.16, "text": "يبقى هذا معناه إيش؟ فهذا معناه إن الـ zero vector is parallel to any vector طيب لو رجعنا بالذاكرة إلى الوراق لل dot product", "tokens": [1829, 3555, 4587, 7578, 23758, 20449, 8315, 3224, 11933, 1829, 8592, 22807, 6156, 3224, 15730, 20449, 8315, 3224, 36145, 2423, 39184, 4018, 8062, 307, 8952, 281, 604, 8062, 23032, 1829, 3555, 45164, 12602, 7435, 3615, 8315, 20666, 15730, 4117, 25720, 30731, 2423, 13063, 995, 4587, 24976, 5893, 1674], "avg_logprob": -0.19818240282486896, "compression_ratio": 1.3093525179856116, "no_speech_prob": 0.0, "words": [{"start": 395.78, "end": 396.3, "word": "يبقى", "probability": 0.91357421875}, {"start": 396.3, "end": 396.54, "word": " هذا", "probability": 0.689453125}, {"start": 396.54, "end": 397.1, "word": " معناه", "probability": 0.8536783854166666}, {"start": 397.1, "end": 397.76, "word": " إيش؟", "probability": 0.7591552734375}, {"start": 397.76, "end": 398.22, "word": " فهذا", "probability": 0.8240559895833334}, {"start": 398.22, "end": 399.2, "word": " معناه", "probability": 0.97900390625}, {"start": 399.2, "end": 399.78, "word": " إن", "probability": 0.56103515625}, {"start": 399.78, "end": 400.36, "word": " الـ", "probability": 0.4141845703125}, {"start": 400.36, "end": 400.58, "word": " zero", "probability": 0.498046875}, {"start": 400.58, "end": 401.32, "word": " vector", "probability": 0.951171875}, {"start": 401.32, "end": 402.2, "word": " is", "probability": 0.9228515625}, {"start": 402.2, "end": 403.58, "word": " parallel", "probability": 0.90625}, {"start": 403.58, "end": 406.12, "word": " to", "probability": 0.966796875}, {"start": 406.12, "end": 407.44, "word": " any", "probability": 0.91064453125}, {"start": 407.44, "end": 409.14, "word": " vector", "probability": 0.97314453125}, {"start": 409.14, "end": 411.22, "word": " طيب", "probability": 0.9508463541666666}, {"start": 411.22, "end": 411.48, "word": " لو", "probability": 0.876953125}, {"start": 411.48, "end": 412.02, "word": " رجعنا", "probability": 0.945556640625}, {"start": 412.02, "end": 412.78, "word": " بالذاكرة", "probability": 0.9481201171875}, {"start": 412.78, "end": 413.1, "word": " إلى", "probability": 0.8642578125}, {"start": 413.1, "end": 413.92, "word": " الوراق", "probability": 0.8048095703125}, {"start": 413.92, "end": 414.3, "word": " لل", "probability": 0.48095703125}, {"start": 414.3, "end": 414.58, "word": " dot", "probability": 0.64892578125}, {"start": 414.58, "end": 415.16, "word": " product", "probability": 0.9853515625}], "temperature": 1.0}, {"id": 18, "seek": 43156, "start": 415.98, "end": 431.56, "text": "أثبتنا كمان أن الـ dot أن الـ zero هو الـ dot أن أي vector بدي أعطينا مين الـ zero وبالتالي قلنا أن الـ zero is orthogonal to أي vector إذا الـ zero هو ال vector الوحيد", "tokens": [10721, 12984, 3555, 2655, 8315, 9122, 2304, 7649, 14739, 2423, 39184, 5893, 14739, 2423, 39184, 4018, 31439, 2423, 39184, 5893, 14739, 36632, 8062, 4724, 16254, 5551, 3615, 9566, 1829, 8315, 3714, 9957, 2423, 39184, 4018, 46599, 6027, 2655, 6027, 1829, 12174, 1211, 8315, 14739, 2423, 39184, 4018, 307, 41488, 281, 36632, 8062, 11933, 15730, 2423, 39184, 4018, 31439, 2423, 8062, 2423, 2407, 5016, 25708], "avg_logprob": -0.5144230769230769, "compression_ratio": 1.776978417266187, "no_speech_prob": 0.0, "words": [{"start": 415.97999999999996, "end": 416.7, "word": "أثبتنا", "probability": 0.886328125}, {"start": 416.7, "end": 417.18, "word": " كمان", "probability": 0.7540690104166666}, {"start": 417.18, "end": 417.52, "word": " أن", "probability": 0.5107421875}, {"start": 417.52, "end": 417.7, "word": " الـ", "probability": 0.445556640625}, {"start": 417.7, "end": 418.22, "word": " dot", "probability": 0.4345703125}, {"start": 418.22, "end": 418.58, "word": " أن", "probability": 0.234130859375}, {"start": 418.58, "end": 418.9, "word": " الـ", "probability": 0.5281982421875}, {"start": 418.9, "end": 419.1, "word": " zero", "probability": 0.65283203125}, {"start": 419.1, "end": 419.42, "word": " هو", "probability": 0.278076171875}, {"start": 419.42, "end": 419.46, "word": " الـ", "probability": 0.44384765625}, {"start": 419.46, "end": 419.78, "word": " dot", "probability": 0.662109375}, {"start": 419.78, "end": 420.16, "word": " أن", "probability": 0.1761474609375}, {"start": 420.16, "end": 420.32, "word": " أي", "probability": 0.56640625}, {"start": 420.32, "end": 420.64, "word": " vector", "probability": 0.56298828125}, {"start": 420.64, "end": 420.94, "word": " بدي", "probability": 0.455047607421875}, {"start": 420.94, "end": 421.3, "word": " أعطينا", "probability": 0.69208984375}, {"start": 421.3, "end": 421.74, "word": " مين", "probability": 0.508544921875}, {"start": 421.74, "end": 422.48, "word": " الـ", "probability": 0.346343994140625}, {"start": 422.48, "end": 422.6, "word": " zero", "probability": 0.77685546875}, {"start": 422.6, "end": 423.34, "word": " وبالتالي", "probability": 0.8560546875}, {"start": 423.34, "end": 423.8, "word": " قلنا", "probability": 0.73583984375}, {"start": 423.8, "end": 424.16, "word": " أن", "probability": 0.55224609375}, {"start": 424.16, "end": 424.54, "word": " الـ", "probability": 0.748046875}, {"start": 424.54, "end": 424.78, "word": " zero", "probability": 0.880859375}, {"start": 424.78, "end": 425.38, "word": " is", "probability": 0.26220703125}, {"start": 425.38, "end": 426.3, "word": " orthogonal", "probability": 0.904296875}, {"start": 426.3, "end": 427.24, "word": " to", "probability": 0.7802734375}, {"start": 427.24, "end": 427.5, "word": " أي", "probability": 0.56201171875}, {"start": 427.5, "end": 427.94, "word": " vector", "probability": 0.93603515625}, {"start": 427.94, "end": 428.76, "word": " إذا", "probability": 0.574462890625}, {"start": 428.76, "end": 429.1, "word": " الـ", "probability": 0.45947265625}, {"start": 429.1, "end": 429.34, "word": " zero", "probability": 0.88623046875}, {"start": 429.34, "end": 429.68, "word": " هو", "probability": 0.98828125}, {"start": 429.68, "end": 429.92, "word": " ال", "probability": 0.84521484375}, {"start": 429.92, "end": 430.4, "word": " vector", "probability": 0.86328125}, {"start": 430.4, "end": 431.56, "word": " الوحيد", "probability": 0.9703369140625}], "temperature": 1.0}, {"id": 19, "seek": 46034, "start": 431.88, "end": 460.34, "text": "الذي يكون عمودي على أي vector وفي نفس الوقت parallel to any vector يعني بالنسبة لل vector الواحد ال zero بقدر اقول orthogonal لهذا ال vector وفي نفس الوقت parallel لهذا ال vector لأن ال zero vector الطول تبعه يسوى الصفر وممكن تاخده في أي اتجاه بدكي على كذا زي ما بدكي تمام؟ يبقى هذه الخاصية رقم خمسة نجد الخاصية رقم ستة", "tokens": [6027, 8848, 1829, 7251, 30544, 6225, 2304, 2407, 16254, 15844, 36632, 8062, 4032, 41185, 8717, 36178, 2423, 30543, 2655, 8952, 281, 604, 8062, 37495, 22653, 20666, 1863, 35457, 3660, 24976, 8062, 2423, 14407, 24401, 2423, 4018, 4724, 28543, 2288, 1975, 39648, 41488, 46740, 15730, 2423, 8062, 4032, 41185, 8717, 36178, 2423, 30543, 2655, 8952, 46740, 15730, 2423, 8062, 5296, 33456, 2423, 4018, 8062, 41950, 12610, 6055, 3555, 3615, 3224, 7251, 3794, 2407, 7578, 31767, 5172, 2288, 4032, 2304, 43020, 6055, 47283, 3215, 3224, 8978, 36632, 1975, 2655, 7435, 40294, 47525, 4117, 1829, 15844, 9122, 15730, 30767, 1829, 19446, 47525, 4117, 1829, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 29538, 33962, 33546, 10632, 12602, 4587, 2304, 16490, 2304, 3794, 3660, 8717, 7435, 3215, 33962, 33546, 10632, 12602, 4587, 2304, 8608, 2655, 3660], "avg_logprob": -0.18454072206760896, "compression_ratio": 1.9307692307692308, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 431.88, "end": 432.52, "word": "الذي", "probability": 0.6844889322916666}, {"start": 432.52, "end": 433.1, "word": " يكون", "probability": 0.965087890625}, {"start": 433.1, "end": 433.68, "word": " عمودي", "probability": 0.988525390625}, {"start": 433.68, "end": 433.94, "word": " على", "probability": 0.8212890625}, {"start": 433.94, "end": 434.18, "word": " أي", "probability": 0.7763671875}, {"start": 434.18, "end": 434.52, "word": " vector", "probability": 0.439697265625}, {"start": 434.52, "end": 434.88, "word": " وفي", "probability": 0.870361328125}, {"start": 434.88, "end": 435.26, "word": " نفس", "probability": 0.99755859375}, {"start": 435.26, "end": 435.74, "word": " الوقت", "probability": 0.9894205729166666}, {"start": 435.74, "end": 436.16, "word": " parallel", "probability": 0.78564453125}, {"start": 436.16, "end": 436.9, "word": " to", "probability": 0.8369140625}, {"start": 436.9, "end": 437.36, "word": " any", "probability": 0.6923828125}, {"start": 437.36, "end": 437.96, "word": " vector", "probability": 0.9716796875}, {"start": 437.96, "end": 438.64, "word": " يعني", "probability": 0.81640625}, {"start": 438.64, "end": 439.22, "word": " بالنسبة", "probability": 0.978759765625}, {"start": 439.22, "end": 439.4, "word": " لل", "probability": 0.84423828125}, {"start": 439.4, "end": 439.78, "word": " vector", "probability": 0.8154296875}, {"start": 439.78, "end": 440.4, "word": " الواحد", "probability": 0.7672526041666666}, {"start": 440.4, "end": 440.56, "word": " ال", "probability": 0.32373046875}, {"start": 440.56, "end": 440.74, "word": " zero", "probability": 0.441162109375}, {"start": 440.74, "end": 441.16, "word": " بقدر", "probability": 0.8649088541666666}, {"start": 441.16, "end": 441.44, "word": " اقول", "probability": 0.793212890625}, {"start": 441.44, "end": 442.2, "word": " orthogonal", "probability": 0.8125}, {"start": 442.2, "end": 443.02, "word": " لهذا", "probability": 0.90625}, {"start": 443.02, "end": 443.36, "word": " ال", "probability": 0.9404296875}, {"start": 443.36, "end": 443.66, "word": " vector", "probability": 0.986328125}, {"start": 443.66, "end": 444.0, "word": " وفي", "probability": 0.902587890625}, {"start": 444.0, "end": 444.28, "word": " نفس", "probability": 0.99755859375}, {"start": 444.28, "end": 444.76, "word": " الوقت", "probability": 0.9812825520833334}, {"start": 444.76, "end": 445.5, "word": " parallel", "probability": 0.83056640625}, {"start": 445.5, "end": 446.04, "word": " لهذا", "probability": 0.990478515625}, {"start": 446.04, "end": 446.18, "word": " ال", "probability": 0.9755859375}, {"start": 446.18, "end": 446.4, "word": " vector", "probability": 0.9921875}, {"start": 446.4, "end": 446.76, "word": " لأن", "probability": 0.849853515625}, {"start": 446.76, "end": 447.0, "word": " ال", "probability": 0.474609375}, {"start": 447.0, "end": 447.28, "word": " zero", "probability": 0.8115234375}, {"start": 447.28, "end": 447.84, "word": " vector", "probability": 0.97607421875}, {"start": 447.84, "end": 448.84, "word": " الطول", "probability": 0.912841796875}, {"start": 448.84, "end": 449.28, "word": " تبعه", "probability": 0.753875732421875}, {"start": 449.28, "end": 449.68, "word": " يسوى", "probability": 0.79296875}, {"start": 449.68, "end": 450.04, "word": " الصفر", "probability": 0.8272298177083334}, {"start": 450.04, "end": 450.46, "word": " وممكن", "probability": 0.8505859375}, {"start": 450.46, "end": 451.16, "word": " تاخده", "probability": 0.832275390625}, {"start": 451.16, "end": 451.4, "word": " في", "probability": 0.97900390625}, {"start": 451.4, "end": 451.8, "word": " أي", "probability": 0.68701171875}, {"start": 451.8, "end": 452.56, "word": " اتجاه", "probability": 0.9893798828125}, {"start": 452.56, "end": 453.26, "word": " بدكي", "probability": 0.70263671875}, {"start": 453.26, "end": 453.56, "word": " على", "probability": 0.57958984375}, {"start": 453.56, "end": 453.98, "word": " كذا", "probability": 0.6986083984375}, {"start": 453.98, "end": 454.24, "word": " زي", "probability": 0.649658203125}, {"start": 454.24, "end": 454.34, "word": " ما", "probability": 0.923828125}, {"start": 454.34, "end": 455.06, "word": " بدكي", "probability": 0.7369791666666666}, {"start": 455.06, "end": 455.96, "word": " تمام؟", "probability": 0.6432291666666666}, {"start": 455.96, "end": 456.34, "word": " يبقى", "probability": 0.9422607421875}, {"start": 456.34, "end": 456.56, "word": " هذه", "probability": 0.8115234375}, {"start": 456.56, "end": 457.14, "word": " الخاصية", "probability": 0.9736328125}, {"start": 457.14, "end": 457.66, "word": " رقم", "probability": 0.9905598958333334}, {"start": 457.66, "end": 458.14, "word": " خمسة", "probability": 0.9161376953125}, {"start": 458.14, "end": 458.46, "word": " نجد", "probability": 0.7757161458333334}, {"start": 458.46, "end": 459.14, "word": " الخاصية", "probability": 0.9850260416666666}, {"start": 459.14, "end": 459.7, "word": " رقم", "probability": 0.9900716145833334}, {"start": 459.7, "end": 460.34, "word": " ستة", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 20, "seek": 49206, "start": 462.44, "end": 492.06, "text": "لو قلت لك I cross الـ J هدول two vector بدي أجيب ال cross فيما بينهما، شو بدي يعطيني؟ متجه عمودي على الاتنين، مين المتجه عمودي؟ اللي هو K، يبقى بدي يعطيني K، أليس هذا هو سالب J cross ال I؟ يبقى هذا بدي يعطيك كمان، بدي يعطيك K، هكتب لك باقي ال vector، بس إلي خاطر", "tokens": [1211, 2407, 12174, 1211, 2655, 5296, 4117, 286, 3278, 2423, 39184, 508, 8032, 3215, 12610, 732, 8062, 4724, 16254, 5551, 7435, 1829, 3555, 2423, 3278, 8978, 15042, 49374, 3224, 15042, 12399, 13412, 2407, 4724, 16254, 37495, 9566, 1829, 22653, 22807, 44650, 7435, 3224, 6225, 2304, 2407, 16254, 15844, 2423, 9307, 1863, 9957, 12399, 3714, 9957, 9673, 2655, 7435, 3224, 6225, 2304, 2407, 16254, 22807, 13672, 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بتعطينا الناقص اي", "tokens": [2304, 45636, 995, 8608, 1829, 30544, 28239, 31371, 7435, 3660, 1975, 1829, 9122, 32887, 3794, 25724, 1829, 1975, 35473, 20498, 9307, 1829, 4117, 39894, 3615, 9566, 1829, 4117, 9122, 2304, 9957, 22807, 591, 23032, 1829, 3555, 45164, 10874, 1829, 6055, 39648, 8592, 5296, 4117, 34105, 10874, 1829, 9122, 32887, 3794, 33251, 1829, 4117, 39894, 3615, 9566, 9957, 1829, 21136, 6027, 3555, 9122, 1829, 4117, 32887, 3794, 25724, 1829, 39894, 3615, 9566, 9957, 1829, 42963, 1829, 23032, 1829, 3555, 45164, 10874, 1829, 6055, 39648, 8592, 5296, 4117, 34105, 9122, 1829, 4117, 32887, 3794, 42963, 1829, 3714, 9957, 39894, 3615, 9566, 1829, 8315, 22807, 39894, 3615, 9566, 1829, 8315, 2423, 8315, 4587, 9381, 1975, 1829], "avg_logprob": -0.3294956074994907, "compression_ratio": 2.3076923076923075, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 516.71, "end": 516.71, "word": "ماذا", "probability": 0.5245768229166666}, {"start": 516.71, "end": 517.11, "word": " 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"probability": 0.9319661458333334}, {"start": 656.55, "end": 656.85, "word": " كده", "probability": 0.8126627604166666}, {"start": 656.85, "end": 656.97, "word": " إيش", "probability": 0.79296875}, {"start": 656.97, "end": 657.57, "word": " تساوي", "probability": 0.97265625}], "temperature": 1.0}, {"id": 27, "seek": 67955, "start": 657.99, "end": 679.55, "text": "يبقى هذي I cross الجيه كده شباب الات K يبقى K cross الجيه K cross الجيه تعطي كده سالب I يبقى هذه سالب I فات ولكن ال I cross الجيه cross الجيه", "tokens": [1829, 3555, 4587, 7578, 8032, 8848, 1829, 286, 3278, 25724, 1829, 3224, 9122, 3215, 3224, 13412, 3555, 16758, 2423, 9307, 591, 7251, 3555, 4587, 7578, 591, 3278, 25724, 1829, 3224, 591, 3278, 25724, 1829, 3224, 6055, 3615, 9566, 1829, 9122, 3215, 3224, 8608, 6027, 3555, 286, 7251, 3555, 4587, 7578, 29538, 8608, 6027, 3555, 286, 6156, 9307, 35525, 19452, 2423, 286, 3278, 25724, 1829, 3224, 3278, 25724, 1829, 3224], "avg_logprob": -0.32388393580913544, "compression_ratio": 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cross", "probability": 0.8173828125}, {"start": 663.99, "end": 664.97, "word": " الجيه", "probability": 0.9615885416666666}, {"start": 664.97, "end": 665.57, "word": " K", "probability": 0.61572265625}, {"start": 665.57, "end": 666.29, "word": " cross", "probability": 0.92822265625}, {"start": 666.29, "end": 667.31, "word": " الجيه", "probability": 0.9798177083333334}, {"start": 667.31, "end": 667.95, "word": " تعطي", "probability": 0.7054443359375}, {"start": 667.95, "end": 668.29, "word": " كده", "probability": 0.8533528645833334}, {"start": 668.29, "end": 669.03, "word": " سالب", "probability": 0.7894694010416666}, {"start": 669.03, "end": 669.69, "word": " I", "probability": 0.99365234375}, {"start": 669.69, "end": 670.81, "word": " يبقى", "probability": 0.9447021484375}, {"start": 670.81, "end": 671.23, "word": " هذه", "probability": 0.6337890625}, {"start": 671.23, "end": 672.37, "word": " سالب", "probability": 0.9697265625}, {"start": 672.37, "end": 672.91, "word": " I", "probability": 0.98828125}, {"start": 672.91, "end": 673.65, "word": " فات", "probability": 0.63916015625}, {"start": 673.65, "end": 675.07, "word": " ولكن", "probability": 0.812744140625}, {"start": 675.07, "end": 675.97, "word": " ال", "probability": 0.5849609375}, {"start": 675.97, "end": 676.45, "word": " I", "probability": 0.94970703125}, {"start": 676.45, "end": 677.21, "word": " cross", "probability": 0.94189453125}, {"start": 677.21, "end": 678.17, "word": " الجيه", "probability": 0.9606119791666666}, {"start": 678.17, "end": 678.67, "word": " cross", "probability": 0.7421875}, {"start": 678.67, "end": 679.55, "word": " الجيه", "probability": 0.9820963541666666}], "temperature": 1.0}, {"id": 28, "seek": 70370, "start": 680.18, "end": 703.7, "text": "لازم يبدأ المخطط ضرب هذا يدخل ضرب هذا للتامة هذول مع بعض يبقى j cross الجيب قداش if I cross ال zero اللي هو قداش ال zero هل ال zero يسوي ناقص I طبعا لأ إذا من الأن فصاعدا عملية cross product is not associated", "tokens": [1211, 31377, 2304, 7251, 44510, 10721, 9673, 9778, 9566, 9566, 48812, 25513, 23758, 7251, 3215, 9778, 1211, 48812, 25513, 23758, 24976, 2655, 10943, 3660, 8032, 8848, 12610, 20449, 45030, 11242, 7251, 3555, 4587, 7578, 361, 3278, 25724, 1829, 3555, 12174, 3215, 33599, 498, 286, 3278, 2423, 4018, 13672, 1829, 31439, 12174, 3215, 33599, 2423, 4018, 8032, 1211, 2423, 4018, 7251, 3794, 45865, 8717, 995, 4587, 9381, 286, 23032, 3555, 3615, 995, 5296, 10721, 11933, 15730, 9154, 16247, 1863, 6156, 9381, 995, 22488, 995, 6225, 42213, 10632, 3278, 1674, 307, 406, 6615], "avg_logprob": -0.3459578736320786, "compression_ratio": 1.5979899497487438, "no_speech_prob": 0.0, "words": [{"start": 680.18, "end": 680.74, "word": "لازم", "probability": 0.5573527018229166}, {"start": 680.74, "end": 681.04, "word": " يبدأ", "probability": 0.7000325520833334}, {"start": 681.04, "end": 681.68, "word": " المخطط", "probability": 0.652099609375}, {"start": 681.68, "end": 681.92, "word": " ضرب", "probability": 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"probability": 0.95703125}, {"start": 692.32, "end": 692.9, "word": " zero", "probability": 0.884765625}, {"start": 692.9, "end": 693.72, "word": " يسوي", "probability": 0.8299153645833334}, {"start": 693.72, "end": 694.42, "word": " ناقص", "probability": 0.9671630859375}, {"start": 694.42, "end": 694.82, "word": " I", "probability": 0.94677734375}, {"start": 694.82, "end": 695.98, "word": " طبعا", "probability": 0.919189453125}, {"start": 695.98, "end": 696.24, "word": " لأ", "probability": 0.8046875}, {"start": 696.24, "end": 696.62, "word": " إذا", "probability": 0.7666015625}, {"start": 696.62, "end": 696.96, "word": " من", "probability": 0.9638671875}, {"start": 696.96, "end": 697.64, "word": " الأن", "probability": 0.706787109375}, {"start": 697.64, "end": 698.68, "word": " فصاعدا", "probability": 0.89189453125}, {"start": 698.68, "end": 699.8, "word": " عملية", "probability": 0.9763997395833334}, {"start": 699.8, "end": 700.3, "word": " cross", "probability": 0.459228515625}, {"start": 700.3, "end": 701.22, "word": " product", "probability": 0.94384765625}, {"start": 701.22, "end": 701.84, "word": " is", "probability": 0.9423828125}, {"start": 701.84, "end": 702.72, "word": " not", "probability": 0.95703125}, {"start": 702.72, "end": 703.7, "word": " associated", "probability": 0.6455078125}], "temperature": 1.0}, {"id": 29, "seek": 73105, "start": 704.11, "end": 731.05, "text": "عملية زي التجميعية أو ليست إدماجية يبقى هذا باختصار بنقول العملية هذه not associative يبقى ليست تجميعية ندل الخاصية التامة يبقى الخاصية التامة لو بدي أجيب طول ال U cross ال B", "tokens": [25957, 1211, 10632, 30767, 1829, 16712, 7435, 2304, 40228, 10632, 34051, 32239, 14851, 11933, 40448, 26108, 10632, 7251, 3555, 4587, 7578, 23758, 4724, 47283, 2655, 9381, 9640, 44945, 39648, 18863, 42213, 10632, 29538, 406, 4180, 1166, 7251, 3555, 4587, 7578, 32239, 14851, 6055, 7435, 2304, 40228, 10632, 8717, 3215, 1211, 33962, 33546, 10632, 16712, 10943, 3660, 7251, 3555, 4587, 7578, 33962, 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بنقول", "probability": 0.868896484375}, {"start": 711.59, "end": 712.33, "word": " العملية", "probability": 0.96533203125}, {"start": 712.33, "end": 712.77, "word": " هذه", "probability": 0.95166015625}, {"start": 712.77, "end": 714.07, "word": " not", "probability": 0.266845703125}, {"start": 714.07, "end": 716.57, "word": " associative", "probability": 0.947998046875}, {"start": 716.57, "end": 719.81, "word": " يبقى", "probability": 0.8919677734375}, {"start": 719.81, "end": 720.45, "word": " ليست", "probability": 0.938720703125}, {"start": 720.45, "end": 721.41, "word": " تجميعية", "probability": 0.9427734375}, {"start": 721.41, "end": 721.97, "word": " ندل", "probability": 0.55029296875}, {"start": 721.97, "end": 722.85, "word": " الخاصية", "probability": 0.8400065104166666}, {"start": 722.85, "end": 724.33, "word": " التامة", "probability": 0.9482421875}, {"start": 724.33, "end": 725.11, "word": " يبقى", "probability": 0.9210205078125}, {"start": 725.11, "end": 725.77, "word": " الخاصية", "probability": 0.9920247395833334}, {"start": 725.77, "end": 726.25, "word": " التامة", "probability": 0.9817708333333334}, {"start": 726.25, "end": 726.41, "word": " لو", "probability": 0.96240234375}, {"start": 726.41, "end": 726.69, "word": " بدي", "probability": 0.629638671875}, {"start": 726.69, "end": 727.35, "word": " أجيب", "probability": 0.95947265625}, {"start": 727.35, "end": 728.39, "word": " طول", "probability": 0.989013671875}, {"start": 728.39, "end": 729.39, "word": " ال", "probability": 0.7607421875}, {"start": 729.39, "end": 729.79, "word": " U", "probability": 0.67041015625}, {"start": 729.79, "end": 730.39, "word": " cross", "probability": 0.6181640625}, {"start": 730.39, "end": 730.79, "word": " ال", "probability": 0.8701171875}, {"start": 730.79, "end": 731.05, "word": " B", "probability": 0.48291015625}], "temperature": 1.0}, {"id": 30, "seek": 74825, "start": 732.19, "end": 748.25, "text": "المتجه هذا بدي أعرف قد إيش طوله يبقى هذا الكلام بده يساوي طول ال U في طول ال V في sine الزاوية ثيتا في طول متجه الوحدة N", "tokens": [45340, 2655, 7435, 3224, 23758, 4724, 16254, 5551, 3615, 28480, 12174, 3215, 11933, 1829, 8592, 23032, 12610, 3224, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 23032, 12610, 2423, 624, 8978, 23032, 12610, 2423, 691, 8978, 18609, 6024, 110, 995, 2407, 10632, 38637, 36081, 995, 8978, 23032, 12610, 44650, 7435, 3224, 2423, 2407, 24401, 3660, 426], "avg_logprob": -0.24950397960723392, "compression_ratio": 1.537313432835821, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 732.19, "end": 733.03, "word": "المتجه", "probability": 0.8231201171875}, {"start": 733.03, "end": 733.27, "word": " هذا", "probability": 0.51171875}, {"start": 733.27, "end": 733.55, "word": " بدي", "probability": 0.542724609375}, {"start": 733.55, "end": 733.93, "word": " أعرف", "probability": 0.84423828125}, {"start": 733.93, "end": 734.23, "word": " قد", "probability": 0.771240234375}, {"start": 734.23, "end": 734.53, "word": " إيش", "probability": 0.7701822916666666}, {"start": 734.53, "end": 735.13, "word": " طوله", "probability": 0.99365234375}, {"start": 735.13, "end": 736.17, "word": " يبقى", "probability": 0.8919677734375}, {"start": 736.17, "end": 736.51, "word": " هذا", "probability": 0.95751953125}, {"start": 736.51, "end": 737.17, "word": " الكلام", "probability": 0.9676106770833334}, {"start": 737.17, "end": 737.67, "word": " بده", "probability": 0.5675048828125}, {"start": 737.67, "end": 738.21, "word": " يساوي", "probability": 0.9549560546875}, {"start": 738.21, "end": 738.91, "word": " طول", "probability": 0.9833984375}, {"start": 738.91, "end": 739.21, "word": " ال", "probability": 0.611328125}, {"start": 739.21, "end": 739.71, "word": " U", "probability": 0.5625}, {"start": 739.71, "end": 740.43, "word": " في", "probability": 0.783203125}, {"start": 740.43, "end": 741.05, "word": " طول", "probability": 0.993896484375}, {"start": 741.05, "end": 741.41, "word": " ال", "probability": 0.96142578125}, {"start": 741.41, "end": 741.85, "word": " V", "probability": 0.68017578125}, {"start": 741.85, "end": 742.53, "word": " في", "probability": 0.9296875}, {"start": 742.53, "end": 743.15, "word": " sine", "probability": 0.08917236328125}, {"start": 743.15, "end": 744.03, "word": " الزاوية", "probability": 0.8755859375}, {"start": 744.03, "end": 744.85, "word": " ثيتا", "probability": 0.676025390625}, {"start": 744.85, "end": 745.39, "word": " في", "probability": 0.8642578125}, {"start": 745.39, "end": 745.99, "word": " طول", "probability": 0.99365234375}, {"start": 745.99, "end": 746.75, "word": " متجه", "probability": 0.9471028645833334}, {"start": 746.75, "end": 747.69, "word": " الوحدة", "probability": 0.8385009765625}, {"start": 747.69, "end": 748.25, "word": " N", "probability": 0.80859375}], "temperature": 1.0}, {"id": 31, "seek": 78027, "start": 750.67, "end": 780.27, "text": "طيب طول متجه الوحدة N كده شو ساوي واحد صحيح إذا هذا الكلام بدي أعطيله طول ال U في طول ال V في صيني الزاوية θية طيب stop شوية تعني اتفهم هندسيا كده هذا المقتار بدي أساوي من الناحية الهندسية فلو جهت تخيل أن عند هنا هذا المتجه U و هذا المتجه V كان بالشكل", "tokens": [9566, 1829, 3555, 23032, 12610, 44650, 7435, 3224, 2423, 2407, 24401, 3660, 426, 9122, 3215, 3224, 13412, 2407, 8608, 995, 45865, 36764, 24401, 20328, 5016, 1829, 5016, 11933, 15730, 23758, 2423, 28820, 10943, 4724, 16254, 5551, 3615, 9566, 26895, 3224, 23032, 12610, 2423, 624, 8978, 23032, 12610, 2423, 691, 8978, 20328, 9957, 1829, 6024, 110, 995, 2407, 10632, 12622, 10632, 23032, 1829, 3555, 1590, 13412, 2407, 10632, 37279, 22653, 1975, 2655, 5172, 16095, 8032, 41260, 3794, 25528, 9122, 3215, 3224, 23758, 9673, 38149, 9640, 4724, 16254, 5551, 3794, 995, 45865, 9154, 2423, 8315, 5016, 10632, 2423, 3224, 41260, 3794, 10632, 6156, 1211, 2407, 10874, 3224, 2655, 6055, 9778, 26895, 14739, 43242, 34105, 23758, 9673, 2655, 7435, 3224, 624, 4032, 23758, 9673, 2655, 7435, 3224, 691, 25961, 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صح؟", "probability": 0.9461263020833334}], "temperature": 1.0}, {"id": 59, "seek": 157419, "start": 1546.05, "end": 1574.19, "text": "يبقى هذا هو طول ال W في ال cosine الزاوية تتاعي، إذا أنا لو جيت الآن بدي أجيب حصل الضرب اللي عندي ال volume يبقى ال volume اللي أنا بقول عنه بدي يسوي مساحة القاعدة آه لكروسكرودك كده قبل قليل كنت لما أضرب الكروسكرودك إل�� ال two vectors بيعطيني مساحة من المتوازن أضغط", "tokens": [1829, 3555, 4587, 7578, 23758, 31439, 23032, 12610, 2423, 343, 8978, 2423, 23565, 6024, 110, 995, 2407, 10632, 6055, 2655, 45761, 1829, 12399, 11933, 15730, 41850, 45164, 10874, 36081, 6024, 48506, 4724, 16254, 5551, 7435, 1829, 3555, 11331, 9381, 1211, 6024, 114, 25513, 13672, 1829, 18871, 16254, 2423, 5523, 7251, 3555, 4587, 7578, 2423, 5523, 13672, 1829, 41850, 4724, 39648, 18871, 3224, 4724, 16254, 7251, 3794, 45865, 47524, 39319, 3660, 25062, 995, 22488, 3660, 19753, 3224, 5296, 4117, 32887, 3794, 4117, 32887, 3215, 4117, 9122, 3215, 3224, 12174, 36150, 12174, 20292, 1211, 9122, 29399, 5296, 15042, 5551, 11242, 25513, 33251, 32887, 3794, 4117, 32887, 3215, 4117, 30731, 2423, 732, 18875, 4724, 40228, 9566, 9957, 1829, 47524, 39319, 3660, 9154, 9673, 2655, 2407, 31377, 1863, 5551, 11242, 17082, 9566], "avg_logprob": -0.2921511627906977, "compression_ratio": 1.8178137651821862, "no_speech_prob": 0.0, "words": [{"start": 1546.05, "end": 1546.55, "word": "يبقى", "probability": 0.81390380859375}, {"start": 1546.55, "end": 1546.85, "word": " هذا", "probability": 0.830078125}, {"start": 1546.85, "end": 1547.09, "word": " هو", "probability": 0.95263671875}, {"start": 1547.09, "end": 1547.39, "word": " طول", "probability": 0.993408203125}, {"start": 1547.39, "end": 1547.55, "word": " ال", "probability": 0.78955078125}, {"start": 1547.55, "end": 1547.89, "word": " W", "probability": 0.325439453125}, {"start": 1547.89, "end": 1548.11, "word": " في", "probability": 0.875}, {"start": 1548.11, "end": 1548.23, "word": " ال", "probability": 0.475830078125}, {"start": 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0.8645833333333334}, {"start": 1555.11, "end": 1555.39, "word": " اللي", "probability": 0.96240234375}, {"start": 1555.39, "end": 1555.83, "word": " عندي", "probability": 0.80712890625}, {"start": 1555.83, "end": 1556.07, "word": " ال", "probability": 0.82763671875}, {"start": 1556.07, "end": 1556.71, "word": " volume", "probability": 0.9404296875}, {"start": 1556.71, "end": 1557.79, "word": " يبقى", "probability": 0.9090576171875}, {"start": 1557.79, "end": 1557.95, "word": " ال", "probability": 0.9658203125}, {"start": 1557.95, "end": 1558.39, "word": " volume", "probability": 0.9873046875}, {"start": 1558.39, "end": 1558.77, "word": " اللي", "probability": 0.990478515625}, {"start": 1558.77, "end": 1559.09, "word": " أنا", "probability": 0.85009765625}, {"start": 1559.09, "end": 1559.67, "word": " بقول", "probability": 0.97802734375}, {"start": 1559.67, "end": 1560.49, "word": " عنه", "probability": 0.990966796875}, {"start": 1560.49, "end": 1561.35, "word": " بدي", "probability": 0.739990234375}, {"start": 1561.35, "end": 1561.83, "word": " يسوي", "probability": 0.8092447916666666}, {"start": 1561.83, "end": 1562.69, "word": " مساحة", "probability": 0.96044921875}, {"start": 1562.69, "end": 1564.35, "word": " القاعدة", "probability": 0.9910888671875}, {"start": 1564.35, "end": 1565.25, "word": " آه", "probability": 0.5716552734375}, {"start": 1565.25, "end": 1566.47, "word": " لكروسكرودك", "probability": 0.66925048828125}, {"start": 1566.47, "end": 1566.79, "word": " كده", "probability": 0.7229817708333334}, {"start": 1566.79, "end": 1567.35, "word": " قبل", "probability": 0.984619140625}, {"start": 1567.35, "end": 1568.37, "word": " قليل", "probability": 0.9962565104166666}, {"start": 1568.37, "end": 1568.91, "word": " كنت", "probability": 0.2572021484375}, {"start": 1568.91, "end": 1569.17, "word": " لما", "probability": 0.956787109375}, {"start": 1569.17, "end": 1569.65, "word": " أضرب", "probability": 0.91552734375}, {"start": 1569.65, "end": 1570.67, "word": " الكروسكرودك", "probability": 0.8604910714285714}, {"start": 1570.67, "end": 1570.85, "word": " إلى", "probability": 0.345947265625}, {"start": 1570.85, "end": 1571.05, "word": " ال", "probability": 0.54833984375}, {"start": 1571.05, "end": 1571.21, "word": " two", "probability": 0.49365234375}, {"start": 1571.21, "end": 1571.65, "word": " vectors", "probability": 0.68310546875}, {"start": 1571.65, "end": 1572.27, "word": " بيعطيني", "probability": 0.82841796875}, {"start": 1572.27, "end": 1572.83, "word": " مساحة", "probability": 0.9664713541666666}, {"start": 1572.83, "end": 1573.05, "word": " من", "probability": 0.60986328125}, {"start": 1573.05, "end": 1573.81, "word": " المتوازن", "probability": 0.88271484375}, {"start": 1573.81, "end": 1574.19, "word": " أضغط", "probability": 0.662017822265625}], "temperature": 1.0}, {"id": 60, "seek": 160440, "start": 1574.84, "end": 1604.4, "text": "إذا مساحة متوازن أضلع هو عبارة عن طول ل cross product U cross V هذه مساحة القاعدة الارتفاع البعد هذا اللي هو طول W في cosine الزاوية تتا يبقى طول المتجه الأول في طول المتجه التاني في cosine الزاوية تتا هذا يا بنات الارتفاع", "tokens": [28814, 15730, 47524, 39319, 3660, 44650, 2407, 31377, 1863, 5551, 11242, 1211, 3615, 31439, 6225, 3555, 9640, 3660, 18871, 23032, 12610, 5296, 3278, 1674, 624, 3278, 691, 29538, 47524, 39319, 3660, 25062, 995, 22488, 3660, 2423, 9640, 2655, 5172, 45761, 29739, 22488, 23758, 13672, 1829, 31439, 23032, 12610, 343, 8978, 23565, 6024, 110, 995, 2407, 10632, 6055, 2655, 995, 7251, 3555, 4587, 7578, 23032, 12610, 9673, 2655, 7435, 3224, 16247, 12610, 8978, 23032, 12610, 9673, 2655, 7435, 3224, 16712, 7649, 1829, 8978, 23565, 6024, 110, 995, 2407, 10632, 6055, 2655, 995, 23758, 35186, 4724, 8315, 2655, 2423, 9640, 2655, 5172, 45761], "avg_logprob": -0.20052082982717775, "compression_ratio": 1.9119170984455958, "no_speech_prob": 0.0, "words": [{"start": 1574.84, "end": 1575.16, "word": "إذا", "probability": 0.776611328125}, {"start": 1575.16, 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"end": 1584.3, "word": " V", "probability": 0.650390625}, {"start": 1584.3, "end": 1585.78, "word": " هذه", "probability": 0.449951171875}, {"start": 1585.78, "end": 1586.28, "word": " مساحة", "probability": 0.9493815104166666}, {"start": 1586.28, "end": 1586.96, "word": " القاعدة", "probability": 0.9696044921875}, {"start": 1586.96, "end": 1588.44, "word": " الارتفاع", "probability": 0.86826171875}, {"start": 1588.44, "end": 1589.1, "word": " البعد", "probability": 0.8193359375}, {"start": 1589.1, "end": 1589.76, "word": " هذا", "probability": 0.86865234375}, {"start": 1589.76, "end": 1590.54, "word": " اللي", "probability": 0.6827392578125}, {"start": 1590.54, "end": 1590.98, "word": " هو", "probability": 0.9921875}, {"start": 1590.98, "end": 1591.6, "word": " طول", "probability": 0.993408203125}, {"start": 1591.6, "end": 1592.5, "word": " W", "probability": 0.728515625}, {"start": 1592.5, "end": 1593.26, "word": " في", "probability": 0.87109375}, {"start": 1593.26, "end": 1594.06, "word": " cosine", "probability": 0.348876953125}, {"start": 1594.06, "end": 1594.78, "word": " الزاوية", "probability": 0.821630859375}, {"start": 1594.78, "end": 1595.24, "word": " تتا", "probability": 0.5059000651041666}, {"start": 1595.24, "end": 1596.66, "word": " يبقى", "probability": 0.88427734375}, {"start": 1596.66, "end": 1597.02, "word": " طول", "probability": 0.9814453125}, {"start": 1597.02, "end": 1597.84, "word": " المتجه", "probability": 0.9659423828125}, {"start": 1597.84, "end": 1598.5, "word": " الأول", "probability": 0.985107421875}, {"start": 1598.5, "end": 1598.74, "word": " في", "probability": 0.83447265625}, {"start": 1598.74, "end": 1599.06, "word": " طول", "probability": 0.973876953125}, {"start": 1599.06, "end": 1599.84, "word": " المتجه", "probability": 0.9720458984375}, {"start": 1599.84, "end": 1600.32, "word": " التاني", "probability": 0.7726236979166666}, {"start": 1600.32, "end": 1600.52, "word": " في", "probability": 0.95458984375}, {"start": 1600.52, "end": 1601.02, "word": " cosine", "probability": 0.69140625}, {"start": 1601.02, "end": 1601.56, "word": " الزاوية", "probability": 0.92265625}, {"start": 1601.56, "end": 1601.94, "word": " تتا", "probability": 0.9765625}, {"start": 1601.94, "end": 1602.7, "word": " هذا", "probability": 0.705078125}, {"start": 1602.7, "end": 1602.96, "word": " يا", "probability": 0.728515625}, {"start": 1602.96, "end": 1603.34, "word": " بنات", "probability": 0.7786458333333334}, {"start": 1603.34, "end": 1604.4, "word": " الارتفاع", "probability": 0.9130859375}], "temperature": 1.0}, {"id": 61, "seek": 161827, "start": 1608.39, "end": 1618.27, "text": "قول المتجه U×V يمثل مساحة قاعدة متوازن أطلاع اللي هي المساحة المظللة اللي عندها", "tokens": [4587, 12610, 9673, 2655, 7435, 3224, 624, 37550, 53, 7251, 2304, 12984, 1211, 47524, 39319, 3660, 12174, 995, 22488, 3660, 44650, 2407, 31377, 1863, 5551, 9566, 15040, 3615, 13672, 1829, 39896, 9673, 3794, 39319, 3660, 9673, 19913, 1211, 37977, 13672, 1829, 43242, 11296], "avg_logprob": -0.2388139214705337, "compression_ratio": 1.3883495145631068, "no_speech_prob": 0.0, "words": [{"start": 1608.39, "end": 1608.69, "word": "قول", "probability": 0.451904296875}, {"start": 1608.69, "end": 1609.41, "word": " المتجه", "probability": 0.9605712890625}, {"start": 1609.41, "end": 1610.51, "word": " U×V", "probability": 0.3224385579427083}, {"start": 1610.51, "end": 1611.69, "word": " يمثل", "probability": 0.9088134765625}, {"start": 1611.69, "end": 1612.45, "word": " مساحة", "probability": 0.9840494791666666}, {"start": 1612.45, "end": 1613.15, "word": " قاعدة", "probability": 0.976806640625}, {"start": 1613.15, "end": 1614.11, "word": " متوازن", "probability": 0.9256591796875}, {"start": 1614.11, "end": 1614.65, "word": " أطلاع", "probability": 0.842041015625}, {"start": 1614.65, "end": 1614.93, "word": " اللي", "probability": 0.6461181640625}, {"start": 1614.93, "end": 1615.29, "word": " هي", "probability": 0.83251953125}, {"start": 1615.29, "end": 1616.61, "word": " المساحة", "probability": 0.978515625}, {"start": 1616.61, "end": 1617.49, "word": " المظللة", "probability": 0.771728515625}, {"start": 1617.49, "end": 1617.71, "word": " اللي", "probability": 0.871826171875}, {"start": 1617.71, "end": 1618.27, "word": " عندها", "probability": 0.91552734375}], "temperature": 1.0}, {"id": 62, "seek": 164706, "start": 1620.22, "end": 1647.06, "text": "طبعا ال W أو طول ال W في Cos زوايا تيتا يمثل البعد العمودي بين القاعدتين المتوازيتين طيب مش هذا هو معناه ال dot product ولا لا طول المتجه الأول فطول المتجه في Cos اللي هو طول اللي هو مين تعريف ال dot product يبقى هذا بده يساوي U cross ال V dot W", "tokens": [9566, 3555, 3615, 995, 2423, 343, 34051, 23032, 12610, 2423, 343, 8978, 15855, 30767, 14407, 25528, 6055, 36081, 995, 7251, 2304, 12984, 1211, 29739, 22488, 18863, 2304, 2407, 16254, 49374, 25062, 995, 22488, 2655, 9957, 9673, 2655, 2407, 31377, 36081, 9957, 23032, 1829, 3555, 37893, 23758, 31439, 20449, 8315, 3224, 2423, 5893, 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4725.99, "end": 4726.35, "word": " بده", "probability": 0.926025390625}, {"start": 4726.35, "end": 4726.85, "word": " وصية", "probability": 0.560791015625}], "temperature": 1.0}, {"id": 170, "seek": 475014, "start": 4733.35, "end": 4750.15, "text": "في ال V و ال T is scalar و لا non-zero scalar is a non-zero scalar هي تمام", "tokens": [41185, 2423, 691, 4032, 2423, 314, 307, 39684, 4032, 20193, 2107, 12, 32226, 39684, 307, 257, 2107, 12, 32226, 39684, 39896, 46811, 10943], "avg_logprob": -0.4290364595750968, "compression_ratio": 1.3235294117647058, "no_speech_prob": 0.0, "words": [{"start": 4733.35, "end": 4733.67, "word": "في", "probability": 0.85009765625}, {"start": 4733.67, "end": 4733.85, "word": " ال", "probability": 0.90185546875}, {"start": 4733.85, "end": 4734.21, "word": " V", "probability": 0.564453125}, {"start": 4734.21, "end": 4735.13, "word": " و", "probability": 0.6220703125}, {"start": 4735.13, "end": 4735.15, "word": " ال", "probability": 0.41552734375}, {"start": 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"probability": 0.9072265625}, {"start": 5040.49, "end": 5041.45, "word": " points", "probability": 0.92822265625}], "temperature": 1.0}, {"id": 181, "seek": 506612, "start": 5042.18, "end": 5066.12, "text": "Px, y, z and P0, x0, y0, z0 respectively على الترتيب إيش يعني؟", "tokens": [47, 87, 11, 288, 11, 710, 293, 430, 15, 11, 2031, 15, 11, 288, 15, 11, 710, 15, 25009, 15844, 16712, 2288, 31371, 3555, 11933, 1829, 8592, 37495, 22653, 22807], "avg_logprob": -0.4042338748132029, "compression_ratio": 0.963855421686747, "no_speech_prob": 0.0, "words": [{"start": 5042.18, "end": 5043.88, "word": "Px,", "probability": 0.3497314453125}, {"start": 5044.18, "end": 5044.5, "word": " y,", "probability": 0.39306640625}, {"start": 5044.66, "end": 5045.32, "word": " z", "probability": 0.96826171875}, {"start": 5045.32, "end": 5047.58, "word": " and", "probability": 0.430419921875}, {"start": 5047.58, "end": 5050.14, "word": " P0,", "probability": 0.697998046875}, {"start": 5050.5, "end": 5051.62, 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