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من مكانه بنفس ال magnitude و نفس الاتجاه و حقيته هنا", "tokens": [6027, 39184, 8062, 23758, 4724, 1829, 11242, 17082, 31747, 34051, 4724, 1829, 10721, 49115, 25894, 4117, 36632, 44049, 38207, 45164, 41850, 8717, 7435, 1211, 47395, 9154, 3714, 41361, 3224, 44945, 36178, 2423, 15668, 4032, 8717, 36178, 2423, 9307, 7435, 40294, 4032, 11331, 4587, 36081, 3224, 34105], "avg_logprob": -0.30967420212765956, "compression_ratio": 1.3065693430656935, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 468.26, "end": 468.6, "word": "الـ", "probability": 0.650146484375}, {"start": 468.6, "end": 468.78, "word": " vector", "probability": 0.52392578125}, {"start": 468.78, "end": 469.36, "word": " هذا", "probability": 0.7275390625}, {"start": 469.36, "end": 472.02, "word": " بيضغرك", "probability": 0.386083984375}, {"start": 472.02, "end": 472.3, "word": " أو", "probability": 0.40625}, {"start": 472.3, "end": 474.04, "word": " بيأثر", "probability": 0.72344970703125}, {"start": 474.04, "end": 474.36, "word": " عليك", "probability": 0.92919921875}, {"start": 474.36, "end": 474.58, "word": " أي", "probability": 0.7880859375}, {"start": 474.58, "end": 475.12, "word": " شيء", "probability": 0.91259765625}, {"start": 475.12, "end": 475.28, "word": " لو", "probability": 0.86669921875}, {"start": 475.28, "end": 475.52, "word": " أنا", "probability": 0.60009765625}, {"start": 475.52, "end": 475.9, "word": " نجلته", "probability": 0.96533203125}, {"start": 475.9, "end": 476.08, "word": " من", "probability": 0.896484375}, {"start": 476.08, "end": 476.74, "word": " مكانه", "probability": 0.9679361979166666}, {"start": 476.74, "end": 477.78, "word": " بنفس", "probability": 0.9072265625}, {"start": 477.78, "end": 477.94, "word": " ال", "probability": 0.67626953125}, {"start": 477.94, "end": 478.44, "word": " magnitude", "probability": 0.9140625}, {"start": 478.44, "end": 479.04, "word": " و", "probability": 0.93896484375}, {"start": 479.04, "end": 479.28, "word": " نفس", "probability": 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تبعت", "probability": 0.77783203125}, {"start": 497.63, "end": 498.29, "word": " التالي", "probability": 0.7504069010416666}, {"start": 498.29, "end": 499.55, "word": " تلتقى", "probability": 0.84345703125}, {"start": 499.55, "end": 499.69, "word": " مع", "probability": 0.92041015625}, {"start": 499.69, "end": 499.79, "word": " ال", "probability": 0.98681640625}, {"start": 499.79, "end": 499.93, "word": " head", "probability": 0.8154296875}, {"start": 499.93, "end": 500.23, "word": " تبعت", "probability": 0.8994140625}, {"start": 500.23, "end": 500.63, "word": " الأول", "probability": 0.827880859375}, {"start": 500.63, "end": 501.37, "word": " نعم", "probability": 0.840576171875}, {"start": 501.37, "end": 503.75, "word": " مش", "probability": 0.806640625}, {"start": 503.75, "end": 504.25, "word": " اتحاد", "probability": 0.9757080078125}, {"start": 504.25, "end": 504.61, "word": " عملية", "probability": 0.5888671875}, {"start": 504.61, "end": 504.95, "word": " جمع", "probability": 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إذا كانت ال R هنا اللي أنا بدي أجمعها .. أربع عناصر .. 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{"start": 898.57, "end": 898.93, "word": " صفر", "probability": 0.9781901041666666}, {"start": 898.93, "end": 899.37, "word": " اربع", "probability": 0.9466145833333334}, {"start": 899.37, "end": 899.71, "word": " خمسة", "probability": 0.8692626953125}, {"start": 899.71, "end": 899.89, "word": " نقل", "probability": 0.98046875}, {"start": 899.89, "end": 900.27, "word": " صفر", "probability": 0.9479166666666666}, {"start": 900.27, "end": 900.97, "word": " خمسة", "probability": 0.9803466796875}, {"start": 900.97, "end": 901.99, "word": " وبالتالي", "probability": 0.8927734375}], "temperature": 1.0}, {"id": 36, "seek": 91887, "start": 902.79, "end": 918.87, "text": "أنا بحافظ على المصطلح اللي عندي هن و كأن دايما بقوللي لما اتكلمنا على spherical system او polar system هو كنت انا بتكلم فعليا على vector ولا لأ طوله ال R", "tokens": [10721, 8315, 4724, 5016, 31845, 19913, 15844, 9673, 9381, 9566, 1211, 5016, 13672, 1829, 18871, 16254, 8032, 1863, 4032, 9122, 33456, 11778, 47302, 15042, 4724, 39648, 20292, 5296, 15042, 1975, 2655, 4117, 19528, 8315, 15844, 37300, 1185, 1975, 2407, 12367, 1185, 31439, 9122, 29399, 1975, 8315, 39894, 4117, 19528, 6156, 3615, 20292, 995, 15844, 8062, 49429, 5296, 10721, 23032, 12610, 3224, 2423, 497], "avg_logprob": -0.2385253901593387, "compression_ratio": 1.4727272727272727, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 902.79, "end": 903.09, "word": "أنا", "probability": 0.75390625}, {"start": 903.09, "end": 903.59, "word": " بحافظ", "probability": 0.966552734375}, {"start": 903.59, "end": 903.85, "word": " على", "probability": 0.830078125}, {"start": 903.85, "end": 904.93, "word": " المصطلح", "probability": 0.95517578125}, {"start": 904.93, "end": 905.09, "word": " اللي", "probability": 0.7998046875}, {"start": 905.09, "end": 905.37, "word": " عندي", "probability": 0.80859375}, {"start": 905.37, "end": 905.55, "word": " هن", "probability": 0.4423828125}, {"start": 905.55, "end": 905.73, "word": " و", "probability": 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من نقطة الصفر ال head point تبعته اللي كانت X و Y على ال system على ال cartesian system و لا لأ و من ثم circle ترابلده اتكلم ان ال vector هذا بيرسم دائرة في ال 2D space في ال 2D عفوا plan لو انا حقته في ال 3D هتصير في عندي خيار ان اتكلم على سيلندر و انا او اتكلم على سفير كرة", "tokens": [2407, 4724, 1829, 44510, 10721, 9154, 8717, 47432, 3660, 31767, 5172, 2288, 2423, 1378, 935, 6055, 3555, 34268, 3224, 13672, 1829, 25961, 2655, 1783, 4032, 398, 15844, 2423, 1185, 15844, 2423, 5467, 42434, 1185, 4032, 20193, 5296, 10721, 4032, 9154, 38637, 2304, 6329, 6055, 2288, 16758, 1211, 3215, 3224, 1975, 2655, 4117, 19528, 16472, 2423, 8062, 23758, 4724, 13546, 38251, 11778, 16373, 25720, 8978, 2423, 568, 35, 1901, 8978, 2423, 568, 35, 6225, 5172, 14407, 1393, 45164, 1975, 8315, 11331, 38149, 3224, 8978, 2423, 805, 35, 8032, 2655, 9381, 13546, 8978, 18871, 16254, 16490, 1829, 9640, 16472, 1975, 2655, 4117, 19528, 15844, 8608, 26895, 41260, 2288, 4032, 1975, 8315, 1975, 2407, 1975, 2655, 4117, 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حقته", "probability": 0.771484375}, {"start": 936.62, "end": 936.74, "word": " في", "probability": 0.9296875}, {"start": 936.74, "end": 936.84, "word": " ال", "probability": 0.931640625}, {"start": 936.84, "end": 938.02, "word": " 3D", "probability": 0.925048828125}, {"start": 938.02, "end": 938.54, "word": " هتصير", "probability": 0.665283203125}, {"start": 938.54, "end": 938.66, "word": " في", "probability": 0.841796875}, {"start": 938.66, "end": 938.9, "word": " عندي", "probability": 0.876220703125}, {"start": 938.9, "end": 939.42, "word": " خيار", "probability": 0.99365234375}, {"start": 939.42, "end": 940.04, "word": " ان", "probability": 0.9306640625}, {"start": 940.04, "end": 940.5, "word": " اتكلم", "probability": 0.9906005859375}, {"start": 940.5, "end": 940.72, "word": " على", "probability": 0.83203125}, {"start": 940.72, "end": 941.44, "word": " سيلندر", "probability": 0.69873046875}, {"start": 941.44, "end": 942.46, "word": " و", "probability": 0.5419921875}, {"start": 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949.23, "word": " القطار", "probability": 0.9256184895833334}, {"start": 949.23, "end": 949.65, "word": " اللي", "probability": 0.872802734375}, {"start": 949.65, "end": 949.97, "word": " موجود", "probability": 0.9685872395833334}, {"start": 949.97, "end": 950.25, "word": " عنه", "probability": 0.4005126953125}, {"start": 950.25, "end": 950.43, "word": " او", "probability": 0.757080078125}, {"start": 950.43, "end": 950.53, "word": " ال", "probability": 0.9541015625}, {"start": 950.53, "end": 950.77, "word": " vector", "probability": 0.379150390625}, {"start": 950.77, "end": 951.49, "word": " هذا", "probability": 0.80810546875}, {"start": 951.49, "end": 958.61, "word": " مثال", "probability": 0.72412109375}, {"start": 958.61, "end": 958.85, "word": " تاني", "probability": 0.92578125}, {"start": 958.85, "end": 959.07, "word": " بقول", "probability": 0.800048828125}, {"start": 959.07, "end": 959.25, "word": " هاي", "probability": 0.486083984375}, {"start": 959.25, "end": 959.33, "word": " في", "probability": 0.8193359375}, {"start": 959.33, "end": 959.55, "word": " عندي", "probability": 0.835205078125}, {"start": 959.55, "end": 959.85, "word": " position", "probability": 0.95263671875}, {"start": 959.85, "end": 960.43, "word": " vector", "probability": 0.95166015625}, {"start": 960.43, "end": 962.23, "word": " position", "probability": 0.80078125}, {"start": 962.23, "end": 962.79, "word": " vector", "probability": 0.97314453125}, {"start": 962.79, "end": 964.17, "word": " وهي", "probability": 0.7548828125}, {"start": 964.17, "end": 964.49, "word": " القيام", "probability": 0.7318522135416666}, {"start": 964.49, "end": 965.03, "word": " تبعته", "probability": 0.80615234375}, {"start": 965.03, "end": 965.75, "word": " وبالتالي", "probability": 0.89873046875}, {"start": 965.75, "end": 966.23, "word": " بقدر", "probability": 0.96484375}, {"start": 966.23, "end": 966.43, "word": " أحسب", "probability": 0.7571614583333334}, {"start": 966.43, "end": 966.53, "word": " ال", "probability": 0.61572265625}, {"start": 966.53, "end": 966.91, "word": " magnitude", "probability": 0.962890625}, {"start": 966.91, "end": 967.47, "word": " بشكل", "probability": 0.9830729166666666}, {"start": 967.47, "end": 968.37, "word": " مباشر", "probability": 0.99462890625}, {"start": 968.37, "end": 969.39, "word": " طيب", "probability": 0.8380533854166666}, {"start": 969.39, "end": 969.71, "word": " في", "probability": 0.734375}, {"start": 969.71, "end": 969.91, "word": " عندي", "probability": 0.968505859375}, {"start": 969.91, "end": 970.57, "word": " مصطلح", "probability": 0.99453125}, {"start": 970.57, "end": 972.51, "word": " تالت", "probability": 0.9615885416666666}], "temperature": 1.0}, {"id": 39, "seek": 99852, "start": 973.18, "end": 998.52, "text": "أو مصطلح جديد نسميه unit vector متجه الوحدة متجه الوحدة متجه الوحدة هو عبارة عن متجه ال magnitude تبعته one unit واحد ال magnitude تبعته واحد مثل لو قلتلك أنا في عنده متجه I يساوي واحد صفر صفر", "tokens": [10721, 2407, 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{"start": 991.98, "end": 992.34, "word": " قلتلك", "probability": 0.8804931640625}, {"start": 992.34, "end": 992.48, "word": " أنا", "probability": 0.307373046875}, {"start": 992.48, "end": 992.58, "word": " في", "probability": 0.95068359375}, {"start": 992.58, "end": 992.86, "word": " عنده", "probability": 0.85302734375}, {"start": 992.86, "end": 993.24, "word": " متجه", "probability": 0.9959309895833334}, {"start": 993.24, "end": 993.56, "word": " I", "probability": 0.8681640625}, {"start": 993.56, "end": 996.8, "word": " يساوي", "probability": 0.934326171875}, {"start": 996.8, "end": 997.46, "word": " واحد", "probability": 0.791015625}, {"start": 997.46, "end": 998.06, "word": " صفر", "probability": 0.9884440104166666}, {"start": 998.06, "end": 998.52, "word": " صفر", "probability": 0.98583984375}], "temperature": 1.0}, {"id": 40, "seek": 102704, "start": 999.98, "end": 1027.04, "text": "الـ magnitude تبعتها تساوي الجدر التربيعي واحد تربيع زاد صفر تربيع زاد صفر تربيع تساوي واحد بدي أسأل سؤال ال vector I هذا يا شباب وين اتجاهه؟ وين اتجاهه؟ على محور الصنات هذا مطابق تماما على ال X axis بس، مصبوط؟ لو أنا أجيت وقلتلك", "tokens": [6027, 39184, 15668, 6055, 3555, 34268, 11296, 6055, 3794, 995, 45865, 25724, 3215, 2288, 16712, 2288, 21292, 3615, 1829, 36764, 24401, 6055, 2288, 21292, 3615, 30767, 18513, 20328, 5172, 2288, 6055, 2288, 21292, 3615, 30767, 18513, 20328, 5172, 2288, 6055, 2288, 21292, 3615, 6055, 3794, 995, 45865, 36764, 24401, 4724, 16254, 5551, 3794, 10721, 1211, 8608, 33604, 6027, 2423, 8062, 286, 23758, 35186, 13412, 3555, 16758, 4032, 9957, 1975, 2655, 7435, 40294, 3224, 22807, 4032, 9957, 1975, 2655, 7435, 40294, 3224, 22807, 15844, 3714, 5016, 13063, 31767, 8315, 2655, 23758, 3714, 9566, 16758, 4587, 46811, 10943, 995, 15844, 2423, 1783, 10298, 4724, 3794, 12399, 3714, 9381, 3555, 2407, 9566, 22807, 45164, 41850, 5551, 7435, 36081, 4032, 4587, 1211, 2655, 23275], "avg_logprob": -0.18091425915394932, "compression_ratio": 1.7782805429864252, 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برضه واحد و قلت لك في عندي K vector مافيش مشكلة يعني ممكن أن ال vector يتبع بك مع مين؟ مع المحور اللي عندي", "tokens": [41185, 43242, 2423, 508, 9122, 8848, 23275, 39896, 6225, 3555, 9640, 3660, 18871, 4985, 8062, 15844, 2423, 398, 4032, 39648, 3224, 4724, 43042, 3224, 36764, 24401, 4032, 12174, 1211, 2655, 5296, 4117, 8978, 18871, 16254, 591, 8062, 19446, 41185, 8592, 37893, 28820, 3660, 37495, 22653, 3714, 43020, 14739, 2423, 8062, 7251, 2655, 3555, 3615, 4724, 4117, 20449, 3714, 9957, 22807, 20449, 9673, 5016, 13063, 13672, 1829, 18871, 16254], "avg_logprob": -0.3190670358961907, "compression_ratio": 1.5688622754491017, "no_speech_prob": 0.0, "words": [{"start": 1028.6, "end": 1028.78, "word": "في", "probability": 0.1842041015625}, {"start": 1028.78, "end": 1028.96, "word": " عند", "probability": 0.78662109375}, {"start": 1028.96, "end": 1029.14, "word": " ال", "probability": 0.7451171875}, {"start": 1029.14, "end": 1029.4, "word": " J", "probability": 0.3837890625}, {"start": 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"end": 1039.06, "word": " و", "probability": 0.8583984375}, {"start": 1039.06, "end": 1039.44, "word": " قلت", "probability": 0.6844482421875}, {"start": 1039.44, "end": 1039.6, "word": " لك", "probability": 0.70361328125}, {"start": 1039.6, "end": 1039.72, "word": " في", "probability": 0.66943359375}, {"start": 1039.72, "end": 1039.98, "word": " عندي", "probability": 0.691162109375}, {"start": 1039.98, "end": 1040.18, "word": " K", "probability": 0.7802734375}, {"start": 1040.18, "end": 1040.68, "word": " vector", "probability": 0.89208984375}, {"start": 1040.68, "end": 1045.24, "word": " مافيش", "probability": 0.6627604166666666}, {"start": 1045.24, "end": 1045.72, "word": " مشكلة", "probability": 0.9879557291666666}, {"start": 1045.72, "end": 1046.18, "word": " يعني", "probability": 0.887451171875}, {"start": 1046.18, "end": 1046.56, "word": " ممكن", "probability": 0.947998046875}, {"start": 1046.56, "end": 1046.72, "word": " أن", "probability": 0.3330078125}, {"start": 1046.72, "end": 1046.84, "word": " ال", "probability": 0.84423828125}, {"start": 1046.84, "end": 1047.14, "word": " vector", "probability": 0.98291015625}, {"start": 1047.14, "end": 1047.58, "word": " يتبع", "probability": 0.657745361328125}, {"start": 1047.58, "end": 1048.3, "word": " بك", "probability": 0.56982421875}, {"start": 1048.3, "end": 1048.6, "word": " مع", "probability": 0.97509765625}, {"start": 1048.6, "end": 1049.0, "word": " مين؟", "probability": 0.4921468098958333}, {"start": 1049.0, "end": 1050.52, "word": " مع", "probability": 0.9365234375}, {"start": 1050.52, "end": 1051.0, "word": " المحور", "probability": 0.9910481770833334}, {"start": 1051.0, "end": 1051.18, "word": " اللي", "probability": 0.969970703125}, {"start": 1051.18, "end": 1051.48, "word": " عندي", "probability": 0.9228515625}], "temperature": 1.0}, {"id": 42, "seek": 108198, "start": 1052.68, "end": 1081.98, "text": "وبما ان هو متقابق بما ان بقدر اقول ان ال I و ال J و ال K هي عبارة عن position vector وليش وراك هو بقدر اقول اه بقدر واحدة واحدة وبدأ من ال origin point وين المشكلة في الموضوع؟ تمام؟ ال vector او محتجة الوحدة هلزمني كمان شوية لما اتكلم على ضرب المتجهات هيخدمني .. هيخدمني كويس في موضوع ضرب المتجهات", "tokens": [37746, 15042, 16472, 31439, 44650, 4587, 16758, 4587, 4724, 15042, 16472, 4724, 28543, 2288, 1975, 39648, 16472, 2423, 286, 4032, 2423, 508, 4032, 2423, 591, 39896, 6225, 3555, 9640, 3660, 18871, 2535, 8062, 4032, 20292, 8592, 4032, 23557, 4117, 31439, 4724, 28543, 2288, 1975, 39648, 1975, 3224, 4724, 28543, 2288, 36764, 24401, 3660, 36764, 24401, 3660, 4032, 44510, 10721, 9154, 2423, 4957, 935, 4032, 9957, 9673, 8592, 28820, 3660, 8978, 9673, 2407, 11242, 45367, 22807, 46811, 10943, 22807, 2423, 8062, 1975, 2407, 3714, 33753, 7435, 3660, 2423, 2407, 24401, 3660, 8032, 1211, 11622, 2304, 22653, 9122, 2304, 7649, 13412, 2407, 10632, 5296, 15042, 1975, 2655, 4117, 19528, 15844, 48812, 25513, 9673, 2655, 7435, 3224, 9307, 39896, 9778, 40448, 22653, 4386, 39896, 9778, 40448, 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