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هتطلع", "probability": 0.85791015625}, {"start": 180.43, "end": 181.21, "word": " موجودة", "probability": 0.9813232421875}, {"start": 181.21, "end": 181.57, "word": " و", "probability": 0.94189453125}, {"start": 181.57, "end": 181.67, "word": " ال", "probability": 0.94189453125}, {"start": 181.67, "end": 182.15, "word": " derivative", "probability": 0.921875}, {"start": 182.15, "end": 182.85, "word": " continuous", "probability": 0.927734375}, {"start": 182.85, "end": 183.19, "word": " يعني", "probability": 0.865234375}, {"start": 183.19, "end": 183.75, "word": " continuously", "probability": 0.746826171875}, {"start": 183.75, "end": 184.37, "word": " differentiable", "probability": 0.973876953125}, {"start": 184.37, "end": 185.39, "word": " بالرغم", "probability": 0.9549560546875}, {"start": 185.39, "end": 185.61, "word": " من", "probability": 0.93603515625}, {"start": 185.61, "end": 185.99, "word": " أنها", "probability": 0.771484375}, {"start": 185.99, "end": 186.51, "word": " 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ال limit موجودة طبعا هذا pointwise convergence اللي هو ال pointwise convergence هنا طلعلي اللي هو ال sequence of functions GN limitها مش continuous ماقدرش يطلع اللي هو continuous function هذا ال pointwise convergence بالرغم إنه GN of X is اللي هو continuously differentiable الآن ناخد مثال آخر إذا", "tokens": [40228, 22653, 20666, 2288, 17082, 2304, 36145, 2423, 4948, 3714, 29245, 23328, 3660, 23032, 3555, 3615, 995, 23758, 935, 3711, 32181, 13672, 1829, 31439, 2423, 935, 3711, 32181, 34105, 23032, 1211, 3615, 20292, 13672, 1829, 31439, 2423, 8310, 295, 6828, 46411, 4948, 11296, 37893, 10957, 19446, 28543, 2288, 8592, 7251, 9566, 1211, 3615, 13672, 1829, 31439, 10957, 2445, 23758, 2423, 935, 3711, 32181, 20666, 2288, 17082, 2304, 36145, 3224, 46411, 295, 1783, 307, 13672, 1829, 31439, 15684, 819, 9364, 6024, 48506, 8717, 47283, 3215, 50113, 6027, 19753, 34740, 11933, 15730], "avg_logprob": -0.15556318583069267, "compression_ratio": 1.854625550660793, "no_speech_prob": 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"word": " convergence", "probability": 0.95361328125}, {"start": 231.4, "end": 232.22, "word": " بالرغم", "probability": 0.97216796875}, {"start": 232.22, "end": 232.56, "word": " إنه", "probability": 0.60986328125}, {"start": 232.56, "end": 232.82, "word": " GN", "probability": 0.94384765625}, {"start": 232.82, "end": 233.1, "word": " of", "probability": 0.70166015625}, {"start": 233.1, "end": 233.38, "word": " X", "probability": 0.9423828125}, {"start": 233.38, "end": 233.8, "word": " is", "probability": 0.78369140625}, {"start": 233.8, "end": 234.34, "word": " اللي", "probability": 0.99267578125}, {"start": 234.34, "end": 234.66, "word": " هو", "probability": 0.994140625}, {"start": 234.66, "end": 235.54, "word": " continuously", "probability": 0.8388671875}, {"start": 235.54, "end": 236.74, "word": " differentiable", "probability": 0.96533203125}, {"start": 236.74, "end": 237.46, "word": " الآن", "probability": 0.761962890625}, {"start": 237.46, "end": 237.86, "word": " ناخد", 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"end": 573.56, "word": " واحدة", "probability": 0.7718098958333334}, {"start": 573.56, "end": 573.64, "word": " على", "probability": 0.66748046875}, {"start": 573.64, "end": 573.72, "word": " ان", "probability": 0.74267578125}, {"start": 573.72, "end": 574.22, "word": " بتجربها", "probability": 0.9632568359375}, {"start": 574.22, "end": 574.36, "word": " ان", "probability": 0.7890625}], "temperature": 1.0}, {"id": 27, "seek": 59216, "start": 574.71, "end": 592.17, "text": "لأن as n goes to infinity بيهدفك بروح لمين في دا السفر يعني بيصير ده لكلها من معرفة ك zero function يعني limit of n of x as n goes to infinity بيساوي اللي هي سفر لكل x limit الفترة 01 مدام سفر", "tokens": [1211, 33456, 382, 297, 1709, 281, 13202, 4724, 1829, 3224, 3215, 5172, 4117, 4724, 32887, 5016, 5296, 2304, 9957, 8978, 11778, 995, 21136, 5172, 2288, 37495, 22653, 4724, 1829, 9381, 13546, 11778, 3224, 5296, 28820, 11296, 9154, 20449, 28480, 3660, 9122, 4018, 2445, 37495, 22653, 4948, 295, 297, 295, 2031, 382, 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"probability": 0.50439453125}, {"start": 607.71, "end": 608.29, "word": " لأن", "probability": 0.758056640625}, {"start": 608.29, "end": 608.65, "word": " قيمة", "probability": 0.9632161458333334}, {"start": 608.65, "end": 608.79, "word": " ال", "probability": 0.9833984375}, {"start": 608.79, "end": 609.07, "word": " function", "probability": 0.92724609375}, {"start": 609.07, "end": 609.49, "word": " كله", "probability": 0.6875}, {"start": 609.49, "end": 609.63, "word": " وين", "probability": 0.847900390625}, {"start": 609.63, "end": 610.81, "word": " هتيجي", "probability": 0.8876953125}, {"start": 610.81, "end": 611.17, "word": " على", "probability": 0.76513671875}, {"start": 611.17, "end": 611.53, "word": " اللي", "probability": 0.98388671875}, {"start": 611.53, "end": 611.89, "word": " هي", "probability": 0.92724609375}, {"start": 611.89, "end": 612.91, "word": " السفر", "probability": 0.9352213541666666}, {"start": 612.91, "end": 613.63, "word": " فبكون", "probability": 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continuity و ال integrability هانفتنتين الدفعة هذه هي ال uniform convergence و هنشوف هذا الكلام", "tokens": [28814, 1863, 3224, 4386, 34051, 4386, 36632, 3224, 4386, 34051, 4386, 19753, 3794, 5172, 32239, 3794, 13412, 2288, 9566, 995, 14739, 7251, 30544, 4948, 24976, 10980, 4724, 3794, 995, 45865, 2423, 10980, 24976, 4948, 11933, 15730, 47525, 8315, 11778, 5172, 27884, 5551, 4117, 26890, 9154, 2423, 935, 3711, 32181, 4032, 21542, 6027, 2655, 9957, 2423, 23807, 4032, 2423, 3572, 2310, 8032, 7649, 5172, 2655, 29399, 9957, 32748, 5172, 27884, 29538, 39896, 2423, 9452, 32181, 4032, 8032, 1863, 8592, 38688, 23758, 2423, 28820, 10943], "avg_logprob": -0.2985491000470661, "compression_ratio": 1.663594470046083, "no_speech_prob": 7.212162017822266e-06, "words": [{"start": 725.54, "end": 726.3, "word": "إنه", "probability": 0.5445149739583334}, {"start": 726.3, "end": 726.72, "word": " ..", "probability": 0.270751953125}, {"start": 726.72, "end": 726.72, "word": " أو", "probability": 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pointwise", "probability": 0.64111328125}, {"start": 735.14, "end": 735.82, "word": " convergence", "probability": 0.9609375}, {"start": 735.82, "end": 736.3, "word": " و", "probability": 0.513671875}, {"start": 736.3, "end": 736.86, "word": " الحالتين", "probability": 0.9169921875}, {"start": 736.86, "end": 736.98, "word": " ال", "probability": 0.93896484375}, {"start": 736.98, "end": 737.58, "word": " continuity", "probability": 0.93798828125}, {"start": 737.58, "end": 737.82, "word": " و", "probability": 0.76513671875}, {"start": 737.82, "end": 737.94, "word": " ال", "probability": 0.89208984375}, {"start": 737.94, "end": 738.64, "word": " integrability", "probability": 0.7010498046875}, {"start": 738.64, "end": 739.8, "word": " هانفتنتين", "probability": 0.6293131510416666}, {"start": 739.8, "end": 740.74, "word": " الدفعة", "probability": 0.9490559895833334}, {"start": 740.74, "end": 741.18, "word": " هذه", "probability": 0.92822265625}, {"start": 741.18, "end": 741.46, "word": " 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"probability": 0.800537109375}, {"start": 750.09, "end": 750.45, "word": " هذه", "probability": 0.75048828125}, {"start": 750.45, "end": 751.17, "word": " النظرية", "probability": 0.965576171875}, {"start": 751.17, "end": 751.77, "word": " اللي", "probability": 0.66259765625}, {"start": 751.77, "end": 751.97, "word": " هي", "probability": 0.78466796875}, {"start": 751.97, "end": 752.81, "word": " هتتعلق", "probability": 0.92861328125}, {"start": 752.81, "end": 753.53, "word": " بالـ", "probability": 0.690185546875}, {"start": 753.53, "end": 753.99, "word": " sequence", "probability": 0.50341796875}, {"start": 753.99, "end": 754.31, "word": " of", "probability": 0.974609375}, {"start": 754.31, "end": 755.03, "word": " continuous", "probability": 0.8583984375}, {"start": 755.03, "end": 755.75, "word": " functions", "probability": 0.86328125}, {"start": 755.75, "end": 756.65, "word": " كيف", "probability": 0.95703125}, {"start": 756.65, "end": 757.25, "word": " أنه", "probability": 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على الفترة A subset من R and suppose that اللي هي الـ Fn converges uniformly on A to a function F من A لعند R، بقول إذا ولا يهمك مضمون إن الـ F نفسها تكون إيش ما لها is a continuous function، إذاً", "tokens": [266, 257, 992, 316, 25993, 9154, 497, 12399, 11933, 15730, 14111, 479, 77, 6225, 3555, 9640, 3660, 18871, 44650, 2655, 16758, 27884, 9154, 32748, 2407, 6027, 1829, 9673, 2655, 36520, 3660, 15844, 27188, 2655, 25720, 316, 25993, 9154, 497, 293, 7297, 300, 13672, 1829, 39896, 2423, 39184, 479, 77, 9652, 2880, 48806, 322, 316, 281, 257, 2445, 479, 9154, 316, 5296, 3615, 41260, 497, 12399, 4724, 39648, 11933, 15730, 49429, 7251, 16095, 4117, 3714, 11242, 2304, 11536, 36145, 2423, 39184, 479, 8717, 36178, 11296, 6055, 30544, 11933, 1829, 8592, 19446, 5296, 11296, 307, 257, 10957, 2445, 12399, 11933, 15730, 14111], "avg_logprob": -0.20467202262123033, "compression_ratio": 1.5780590717299579, "no_speech_prob": 2.9206275939941406e-06, "words": [{"start": 779.42, "end": 779.76, "word": 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{"start": 1316.06, "end": 1316.26, "word": " عن", "probability": 0.9951171875}, {"start": 1316.26, "end": 1316.66, "word": " سفر", "probability": 0.84423828125}, {"start": 1316.66, "end": 1317.38, "word": " هذه", "probability": 0.53076171875}, {"start": 1317.38, "end": 1317.7, "word": " برضه", "probability": 0.91064453125}, {"start": 1317.7, "end": 1317.94, "word": " اي", "probability": 0.501220703125}, {"start": 1317.94, "end": 1318.32, "word": " شمالها", "probability": 0.793212890625}, {"start": 1318.32, "end": 1318.66, "word": " continuous", "probability": 0.8994140625}, {"start": 1318.66, "end": 1319.3, "word": " function", "probability": 0.96875}, {"start": 1319.3, "end": 1320.26, "word": " بالرغم", "probability": 0.9652099609375}, {"start": 1320.26, "end": 1320.44, "word": " من", "probability": 0.92724609375}, {"start": 1320.44, "end": 1320.86, "word": " ان", "probability": 0.50244140625}, {"start": 1320.86, "end": 1321.34, "word": " ال", "probability": 0.70166015625}, {"start": 1321.34, "end": 1321.7, "word": " F", "probability": 0.6396484375}, {"start": 1321.7, "end": 1322.0, "word": " N", "probability": 0.79248046875}, {"start": 1322.0, "end": 1322.82, "word": " بتروح", "probability": 0.9676106770833334}, {"start": 1322.82, "end": 1323.02, "word": " لل", "probability": 0.71240234375}, {"start": 1323.02, "end": 1323.24, "word": " F", "probability": 0.8642578125}, {"start": 1323.24, "end": 1323.54, "word": " point", "probability": 0.95947265625}, {"start": 1323.54, "end": 1324.02, "word": " twice", "probability": 0.6748046875}, {"start": 1324.02, "end": 1324.72, "word": " but", "probability": 0.62255859375}, {"start": 1324.72, "end": 1325.36, "word": " ال", "probability": 0.896484375}, {"start": 1325.36, "end": 1325.6, "word": " F", "probability": 0.97021484375}, {"start": 1325.6, "end": 1325.9, "word": " N", "probability": 0.888671875}, {"start": 1325.9, "end": 1326.48, "word": " does", "probability": 0.80517578125}, {"start": 1326.48, "end": 1326.78, "word": " not", "probability": 0.96630859375}, {"start": 1326.78, "end": 1327.28, "word": " converge", "probability": 0.9873046875}, {"start": 1327.28, "end": 1327.48, "word": " لل", "probability": 0.72021484375}, {"start": 1327.48, "end": 1327.84, "word": " F", "probability": 0.95849609375}, {"start": 1327.84, "end": 1328.7, "word": " uniformly", "probability": 0.880859375}, {"start": 1328.7, "end": 1328.98, "word": " زي", "probability": 0.972412109375}, {"start": 1328.98, "end": 1329.06, "word": " ما", "probability": 0.99072265625}, {"start": 1329.06, "end": 1329.58, "word": " أثبتنا", "probability": 0.967578125}, {"start": 1329.58, "end": 1330.16, "word": " يعني", "probability": 0.93896484375}, {"start": 1330.16, "end": 1330.66, "word": " ممكن", "probability": 0.978515625}, {"start": 1330.66, "end": 1330.94, "word": " اللي", "probability": 0.99169921875}, {"start": 1330.94, "end": 1331.22, "word": " هو", "probability": 0.9970703125}, {"start": 1331.22, "end": 1331.44, "word": " ال", "probability": 0.94482421875}, {"start": 1331.44, "end": 1331.74, "word": " point", "probability": 0.9453125}, {"start": 1331.74, "end": 1332.12, "word": " twice", "probability": 0.7275390625}, {"start": 1332.12, "end": 1332.86, "word": " convergence", "probability": 0.98583984375}, {"start": 1332.86, "end": 1333.62, "word": " يكون", "probability": 0.989501953125}, {"start": 1333.62, "end": 1334.28, "word": " limitه", "probability": 0.612548828125}, {"start": 1334.28, "end": 1334.92, "word": " continuous", "probability": 0.94921875}, {"start": 1334.92, "end": 1335.48, "word": " function", "probability": 0.9697265625}, {"start": 1335.48, "end": 1335.7, "word": " لما", "probability": 0.935791015625}, {"start": 1335.7, "end": 1335.92, "word": " تكون", "probability": 0.99169921875}, {"start": 1335.92, "end": 1336.3, "word": " sequence", "probability": 0.94580078125}, {"start": 1336.3, "end": 1336.42, "word": " of", "probability": 0.88525390625}, {"start": 1336.42, "end": 1336.78, "word": " continuous", "probability": 0.91015625}, {"start": 1336.78, "end": 1337.2, "word": " functions", "probability": 0.6396484375}], "temperature": 1.0}, {"id": 60, "seek": 136289, "start": 1337.43, "end": 1362.89, "text": "طبيعي لكن احنا بنقول الضمان انه يطلع continuous انها تكون uniform convergence وجبنا مثال على انه اللي هو اللي هي sequence of continuous functions converge pointwise to some function that is not continuous زي ما شوفنا في المثال الأول نيجي الآن نحكي عن موضوع او الجزء المتعلق بمين", "tokens": [9566, 21292, 3615, 1829, 44381, 1975, 5016, 8315, 44945, 39648, 6024, 114, 2304, 7649, 16472, 3224, 7251, 9566, 1211, 3615, 10957, 16472, 11296, 6055, 30544, 9452, 32181, 4032, 7435, 3555, 8315, 50113, 6027, 15844, 16472, 3224, 13672, 1829, 31439, 13672, 1829, 39896, 8310, 295, 10957, 6828, 41881, 935, 3711, 281, 512, 2445, 300, 307, 406, 10957, 30767, 1829, 19446, 13412, 38688, 8315, 8978, 9673, 12984, 6027, 16247, 12610, 8717, 1829, 7435, 1829, 6024, 48506, 8717, 5016, 4117, 1829, 18871, 3714, 2407, 11242, 45367, 1975, 2407, 25724, 11622, 38207, 9673, 2655, 30241, 4587, 4724, 2304, 9957], "avg_logprob": -0.14843750589837632, "compression_ratio": 1.675, "no_speech_prob": 1.537799835205078e-05, "words": [{"start": 1337.43, "end": 1338.01, "word": "طبيعي", "probability": 0.9290771484375}, {"start": 1338.01, "end": 1338.85, "word": " لكن", "probability": 0.6630859375}, {"start": 1338.85, "end": 1339.27, "word": " احنا", "probability": 0.884765625}, {"start": 1339.27, "end": 1339.75, "word": " بنقول", "probability": 0.951416015625}, {"start": 1339.75, "end": 1340.81, "word": " الضمان", "probability": 0.823486328125}, {"start": 1340.81, "end": 1341.09, "word": " انه", "probability": 0.841552734375}, {"start": 1341.09, "end": 1341.39, "word": " يطلع", "probability": 0.9832763671875}, {"start": 1341.39, "end": 1342.19, "word": " continuous", "probability": 0.85009765625}, {"start": 1342.19, "end": 1342.89, "word": " انها", "probability": 0.873046875}, {"start": 1342.89, "end": 1343.35, "word": " تكون", "probability": 0.98828125}, {"start": 1343.35, "end": 1343.99, "word": " uniform", "probability": 0.82177734375}, {"start": 1343.99, "end": 1345.01, "word": " convergence", "probability": 0.97900390625}, {"start": 1345.01, "end": 1345.95, "word": " وجبنا", "probability": 0.78179931640625}, {"start": 1345.95, "end": 1346.55, "word": " مثال", "probability": 0.985107421875}, {"start": 1346.55, "end": 1346.83, "word": " على", "probability": 0.76953125}, {"start": 1346.83, "end": 1347.45, "word": " انه", "probability": 0.913818359375}, {"start": 1347.45, "end": 1347.91, "word": " اللي", "probability": 0.929443359375}, {"start": 1347.91, "end": 1348.25, "word": " هو", "probability": 0.66357421875}, {"start": 1348.25, "end": 1348.85, "word": " اللي", "probability": 0.78955078125}, {"start": 1348.85, "end": 1349.19, "word": " هي", "probability": 0.9326171875}, {"start": 1349.19, "end": 1350.53, "word": " sequence", "probability": 0.8447265625}, {"start": 1350.53, "end": 1350.83, "word": " of", "probability": 0.953125}, {"start": 1350.83, "end": 1351.35, "word": " continuous", "probability": 0.8564453125}, {"start": 1351.35, "end": 1351.89, "word": " functions", "probability": 0.8427734375}, {"start": 1351.89, "end": 1352.67, "word": " converge", "probability": 0.51953125}, {"start": 1352.67, "end": 1353.73, "word": " pointwise", "probability": 0.615966796875}, {"start": 1353.73, "end": 1353.87, "word": " to", "probability": 0.93798828125}, {"start": 1353.87, "end": 1354.13, "word": " some", "probability": 0.912109375}, {"start": 1354.13, "end": 1354.63, "word": " function", "probability": 0.89404296875}, {"start": 1354.63, "end": 1354.95, "word": " that", "probability": 0.89111328125}, {"start": 1354.95, "end": 1355.17, "word": " is", "probability": 0.95556640625}, {"start": 1355.17, "end": 1355.43, "word": " not", "probability": 0.955078125}, {"start": 1355.43, "end": 1356.01, "word": " continuous", "probability": 0.900390625}, {"start": 1356.01, "end": 1356.27, "word": " زي", "probability": 0.901123046875}, {"start": 1356.27, "end": 1356.33, "word": " ما", "probability": 0.96337890625}, {"start": 1356.33, "end": 1356.61, "word": " شوفنا", "probability": 0.83203125}, {"start": 1356.61, "end": 1356.73, "word": " في", "probability": 0.9013671875}, {"start": 1356.73, "end": 1357.11, "word": " المثال", "probability": 0.9793294270833334}, {"start": 1357.11, "end": 1357.45, "word": " الأول", "probability": 0.8701171875}, {"start": 1357.45, "end": 1358.47, "word": " نيجي", "probability": 0.65216064453125}, {"start": 1358.47, "end": 1358.83, "word": " الآن", "probability": 0.730712890625}, {"start": 1358.83, "end": 1359.57, "word": " نحكي", "probability": 0.9835205078125}, {"start": 1359.57, "end": 1359.71, "word": " عن", "probability": 0.98876953125}, {"start": 1359.71, "end": 1360.29, "word": " موضوع", "probability": 0.9678955078125}, {"start": 1360.29, "end": 1361.27, "word": " او", "probability": 0.7373046875}, {"start": 1361.27, "end": 1361.61, "word": " الجزء", "probability": 0.98876953125}, {"start": 1361.61, "end": 1362.33, "word": " المتعلق", "probability": 0.9718017578125}, {"start": 1362.33, "end": 1362.89, "word": " بمين", "probability": 0.9596354166666666}], "temperature": 1.0}, {"id": 61, "seek": 138775, "start": 1363.87, "end": 1387.75, "text": "الجزء المتعلق بالـ Integrable Functions الآن نشوف أيش العلاج لإنه نضمن الـ Limit للـ Integration بساوي الـ Integration للـ Limit أو اللي هو لما ندخل الـ Limit للـ Integration متى بنقدر ندخله ويظل المحافظة على المساوية Let FN be a sequence of functions that are integrable on A وB", "tokens": [6027, 7435, 11622, 38207, 9673, 2655, 30241, 4587, 20666, 39184, 5681, 1146, 424, 638, 11166, 3916, 6024, 48506, 8717, 8592, 38688, 36632, 8592, 18863, 1211, 26108, 5296, 28814, 1863, 3224, 8717, 11242, 27842, 2423, 39184, 16406, 270, 24976, 39184, 47713, 4724, 3794, 995, 45865, 2423, 39184, 47713, 24976, 39184, 16406, 270, 34051, 13672, 1829, 31439, 5296, 15042, 8717, 3215, 9778, 1211, 2423, 39184, 16406, 270, 24976, 39184, 47713, 44650, 7578, 44945, 28543, 2288, 8717, 3215, 9778, 43761, 4032, 1829, 19913, 1211, 9673, 5016, 31845, 19913, 3660, 15844, 9673, 3794, 995, 2407, 10632, 961, 479, 45, 312, 257, 8310, 295, 6828, 300, 366, 16200, 424, 638, 322, 316, 4032, 33], "avg_logprob": -0.22656249309127982, "compression_ratio": 1.70995670995671, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1363.87, "end": 1364.49, "word": "الجزء", "probability": 0.8455810546875}, {"start": 1364.49, "end": 1365.41, "word": " المتعلق", "probability": 0.9761962890625}, {"start": 1365.41, "end": 1366.53, "word": " بالـ", "probability": 0.494384765625}, {"start": 1366.53, "end": 1367.77, "word": " Integrable", "probability": 0.77398681640625}, {"start": 1367.77, "end": 1368.45, "word": " Functions", "probability": 0.6796875}, {"start": 1368.45, "end": 1369.43, "word": " الآن", "probability": 0.5611572265625}, {"start": 1369.43, "end": 1370.83, "word": " نشوف", "probability": 0.7628580729166666}, {"start": 1370.83, "end": 1371.59, "word": " أيش", "probability": 0.6646728515625}, {"start": 1371.59, "end": 1372.25, "word": " العلاج", "probability": 0.9485677083333334}, {"start": 1372.25, "end": 1373.27, "word": " لإنه", "probability": 0.70556640625}, {"start": 1373.27, "end": 1373.97, "word": " نضمن", "probability": 0.9793294270833334}, {"start": 1373.97, "end": 1374.15, "word": " الـ", "probability": 0.616943359375}, {"start": 1374.15, "end": 1374.37, "word": " Limit", "probability": 0.701171875}, {"start": 1374.37, "end": 1374.55, "word": " للـ", "probability": 0.841796875}, {"start": 1374.55, "end": 1375.01, "word": " Integration", "probability": 0.7724609375}, {"start": 1375.01, "end": 1375.35, "word": " بساوي", "probability": 0.5849609375}, {"start": 1375.35, "end": 1375.53, "word": " الـ", "probability": 0.848876953125}, {"start": 1375.53, "end": 1375.95, "word": " Integration", "probability": 0.6982421875}, {"start": 1375.95, "end": 1376.27, "word": " للـ", "probability": 0.786865234375}, {"start": 1376.27, "end": 1376.51, "word": " Limit", "probability": 0.959228515625}, {"start": 1376.51, "end": 1376.73, "word": " أو", "probability": 0.8818359375}, {"start": 1376.73, "end": 1376.89, "word": " اللي", "probability": 0.8818359375}, {"start": 1376.89, "end": 1377.09, "word": " هو", "probability": 0.990234375}, {"start": 1377.09, "end": 1377.65, "word": " لما", "probability": 0.91015625}, {"start": 1377.65, "end": 1378.05, "word": " ندخل", "probability": 0.973388671875}, {"start": 1378.05, "end": 1378.21, "word": " الـ", "probability": 0.887939453125}, {"start": 1378.21, "end": 1378.53, "word": " Limit", "probability": 0.973388671875}, {"start": 1378.53, "end": 1378.97, "word": " للـ", "probability": 0.91064453125}, {"start": 1378.97, "end": 1379.41, "word": " Integration", "probability": 0.869140625}, {"start": 1379.41, "end": 1379.85, "word": " متى", "probability": 0.737060546875}, {"start": 1379.85, "end": 1380.21, "word": " بنقدر", "probability": 0.8751627604166666}, {"start": 1380.21, "end": 1380.63, "word": " ندخله", "probability": 0.990478515625}, {"start": 1380.63, "end": 1380.97, "word": " ويظل", "probability": 0.733154296875}, {"start": 1380.97, "end": 1381.61, "word": " المحافظة", "probability": 0.9453125}, {"start": 1381.61, "end": 1381.75, "word": " على", "probability": 0.947265625}, {"start": 1381.75, "end": 1382.61, "word": " المساوية", "probability": 0.866015625}, {"start": 1382.61, "end": 1383.85, "word": " Let", "probability": 0.282470703125}, {"start": 1383.85, "end": 1384.25, "word": " FN", "probability": 0.69189453125}, {"start": 1384.25, "end": 1384.43, "word": " be", "probability": 0.7421875}, {"start": 1384.43, "end": 1384.59, "word": " a", "probability": 0.970703125}, {"start": 1384.59, "end": 1385.03, "word": " sequence", "probability": 0.9140625}, {"start": 1385.03, "end": 1385.27, "word": " of", "probability": 0.9814453125}, {"start": 1385.27, "end": 1385.77, "word": " functions", "probability": 0.8515625}, {"start": 1385.77, "end": 1386.09, "word": " that", "probability": 0.8974609375}, {"start": 1386.09, "end": 1386.37, "word": " are", "probability": 0.9521484375}, {"start": 1386.37, "end": 1387.07, "word": " integrable", "probability": 0.86865234375}, {"start": 1387.07, "end": 1387.29, "word": " on", "probability": 0.8935546875}, {"start": 1387.29, "end": 1387.47, "word": " A", "probability": 0.90869140625}, {"start": 1387.47, "end": 1387.75, "word": " وB", "probability": 0.7998046875}], "temperature": 1.0}, {"id": 62, "seek": 141255, "start": 1388.61, "end": 1412.55, "text": "and suppose that FN converges uniformly من A و B to F then إذا لما تكون ال convergence uniform then ال F is integrable من A و B هاي واحد اتنين ال integration لل F of X DX من A لعين B بسوء ال limit لل integration يعني بمعنى أخر ال limit لل integration بسوء ال integration لل limit", "tokens": [474, 7297, 300, 479, 45, 9652, 2880, 48806, 9154, 316, 4032, 363, 281, 479, 550, 11933, 15730, 5296, 15042, 6055, 30544, 2423, 32181, 9452, 550, 2423, 479, 307, 16200, 424, 638, 9154, 316, 4032, 363, 8032, 47302, 36764, 24401, 1975, 2655, 1863, 9957, 2423, 10980, 24976, 479, 295, 1783, 48817, 9154, 316, 5296, 3615, 9957, 363, 4724, 3794, 2407, 38207, 2423, 4948, 24976, 10980, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 5551, 34740, 2423, 4948, 24976, 10980, 4724, 3794, 2407, 38207, 2423, 10980, 24976, 4948], "avg_logprob": -0.2796148300863976, "compression_ratio": 1.756218905472637, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 1388.61, "end": 1388.89, "word": "and", "probability": 0.06512451171875}, {"start": 1388.89, "end": 1389.45, "word": " suppose", "probability": 0.87109375}, {"start": 1389.45, "end": 1390.25, "word": " that", "probability": 0.93359375}, {"start": 1390.25, "end": 1390.99, "word": " FN", "probability": 0.388916015625}, {"start": 1390.99, "end": 1391.87, "word": " converges", "probability": 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{"start": 1446.88, "end": 1447.0, "word": " هو", "probability": 0.92626953125}, {"start": 1447.0, "end": 1447.54, "word": " بتروح", "probability": 0.9542643229166666}, {"start": 1447.54, "end": 1448.06, "word": " للسفر", "probability": 0.8011474609375}, {"start": 1448.06, "end": 1448.34, "word": " يعني", "probability": 0.900390625}, {"start": 1448.34, "end": 1448.94, "word": " Fn", "probability": 0.93310546875}, {"start": 1448.94, "end": 1449.74, "word": " يعني", "probability": 0.905029296875}, {"start": 1449.74, "end": 1450.24, "word": " Fn", "probability": 0.939697265625}], "temperature": 1.0}, {"id": 65, "seek": 147639, "start": 1451.85, "end": 1476.39, "text": "بتروح للـ F uniformly معناته Fn ناقص F اللي هو ايه شماله over some .. over ايه او اللي مسميها J goes to mean to zero يعني normal Fn ناقص الـ F أصغر من يبسطه يعني forever يبسطه نقوم نسيف it there exists كي لم تنساش that forever أن أكبر شهو K أفقن ناقص أفقر أصغر من مين من الـ Y عارفين هالقصة طيب .. طيب نيجي الأن", "tokens": 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"end": 2382.27, "word": " نظرية", "probability": 0.8634033203125}, {"start": 2382.27, "end": 2382.53, "word": " اللي", "probability": 0.967041015625}, {"start": 2382.53, "end": 2382.85, "word": " هي", "probability": 0.72509765625}, {"start": 2382.85, "end": 2383.91, "word": " برهانة", "probability": 0.92431640625}, {"start": 2383.91, "end": 2384.35, "word": " خارج", "probability": 0.9915364583333334}, {"start": 2384.35, "end": 2384.95, "word": " نطاق", "probability": 0.9566650390625}, {"start": 2384.95, "end": 2385.51, "word": " اللي", "probability": 0.983642578125}, {"start": 2385.51, "end": 2385.71, "word": " هو", "probability": 0.99169921875}, {"start": 2385.71, "end": 2386.37, "word": " الكتاب", "probability": 0.9541015625}, {"start": 2386.37, "end": 2386.83, "word": " و", "probability": 0.939453125}, {"start": 2386.83, "end": 2387.47, "word": " نشوف", "probability": 0.9607747395833334}, {"start": 2387.47, "end": 2388.65, "word": " اللي", "probability": 0.974853515625}, {"start": 2388.65, "end": 2389.11, "word": " هو", "probability": 0.99609375}], "temperature": 1.0}, {"id": 106, "seek": 240004, "start": 2393.38, "end": 2400.04, "text": "إيش بتقول هذه اللي هي النظرية؟ إيش بتقول bounded convergence theorem؟", "tokens": [28814, 1829, 8592, 39894, 39648, 29538, 13672, 1829, 39896, 28239, 19913, 2288, 10632, 22807, 11933, 1829, 8592, 39894, 39648, 37498, 32181, 20904, 22807], "avg_logprob": -0.3417968613406022, "compression_ratio": 1.1318681318681318, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2393.38, "end": 2393.78, "word": "إيش", "probability": 0.6481424967447916}, {"start": 2393.78, "end": 2394.18, "word": " بتقول", "probability": 0.98583984375}, {"start": 2394.18, "end": 2394.64, "word": " هذه", "probability": 0.71533203125}, {"start": 2394.64, "end": 2395.06, "word": " اللي", "probability": 0.871337890625}, {"start": 2395.06, "end": 2395.46, "word": " هي", "probability": 0.75927734375}, {"start": 2395.46, "end": 2397.66, "word": " النظرية؟", "probability": 0.836767578125}, {"start": 2397.66, "end": 2397.84, "word": " إيش", "probability": 0.7859700520833334}, {"start": 2397.84, "end": 2398.16, "word": " بتقول", "probability": 0.991455078125}, {"start": 2398.16, "end": 2398.54, "word": " bounded", "probability": 0.450439453125}, {"start": 2398.54, "end": 2399.16, "word": " convergence", "probability": 0.95654296875}, {"start": 2399.16, "end": 2400.04, "word": " theorem؟", "probability": 0.891357421875}], "temperature": 1.0}, {"id": 107, "seek": 242344, "start": 2400.77, "end": 2423.45, "text": "النظرية بتقول let FN be a sequence of functions that are integrable in A وB مفترضين إنها integrable and suppose that بدي يبعد عن ال uniform convergence بتقول لو شيلنا ال uniform convergence ممكن نبدله بإيش إيه؟ ويظل محافظنا على ال limit لل integration بساوي ال integration لل limit؟ آه، بنفع، نشوف كيف", "tokens": [6027, 1863, 19913, 2288, 10632, 39894, 39648, 718, 479, 45, 312, 257, 8310, 295, 6828, 300, 366, 16200, 424, 638, 294, 316, 4032, 33, 3714, 5172, 2655, 43042, 9957, 36145, 11296, 16200, 424, 638, 293, 7297, 300, 4724, 16254, 7251, 3555, 22488, 18871, 2423, 9452, 32181, 39894, 39648, 45164, 13412, 26895, 8315, 2423, 9452, 32181, 3714, 43020, 8717, 44510, 1211, 3224, 4724, 28814, 1829, 8592, 11933, 1829, 3224, 22807, 4032, 1829, 19913, 1211, 3714, 5016, 31845, 19913, 8315, 15844, 2423, 4948, 24976, 10980, 4724, 3794, 995, 45865, 2423, 10980, 24976, 4948, 22807, 19753, 3224, 12399, 44945, 5172, 3615, 12399, 8717, 8592, 38688, 9122, 33911], "avg_logprob": -0.25029761450631277, "compression_ratio": 1.5708812260536398, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2400.77, "end": 2401.25, "word": "النظرية", "probability": 0.9140625}, {"start": 2401.25, "end": 2401.55, "word": " بتقول", "probability": 0.931396484375}, {"start": 2401.55, "end": 2401.73, "word": " let", "probability": 0.306396484375}, {"start": 2401.73, "end": 2402.05, "word": " FN", "probability": 0.592041015625}, {"start": 2402.05, "end": 2402.19, "word": " be", "probability": 0.708984375}, {"start": 2402.19, "end": 2402.31, "word": " a", "probability": 0.96044921875}, {"start": 2402.31, "end": 2402.65, "word": " sequence", "probability": 0.9658203125}, {"start": 2402.65, "end": 2402.85, "word": " of", "probability": 0.97216796875}, {"start": 2402.85, "end": 2403.45, "word": " functions", "probability": 0.8681640625}, {"start": 2403.45, "end": 2404.41, "word": " that", "probability": 0.80419921875}, {"start": 2404.41, "end": 2405.61, "word": " are", "probability": 0.94580078125}, {"start": 2405.61, "end": 2406.41, "word": " integrable", "probability": 0.8802083333333334}, {"start": 2406.41, "end": 2406.63, "word": " in", "probability": 0.537109375}, {"start": 2406.63, "end": 2406.83, "word": " A", "probability": 0.89013671875}, {"start": 2406.83, "end": 2407.15, "word": " وB", "probability": 0.705322265625}, {"start": 2407.15, "end": 2408.71, "word": " مفترضين", "probability": 0.928515625}, {"start": 2408.71, "end": 2408.93, "word": " إنها", "probability": 0.7242431640625}, {"start": 2408.93, "end": 2409.71, "word": " integrable", "probability": 0.7195638020833334}, {"start": 2409.71, "end": 2410.51, "word": " and", "probability": 0.7158203125}, {"start": 2410.51, "end": 2411.07, "word": " suppose", "probability": 0.90869140625}, {"start": 2411.07, "end": 2411.49, "word": " that", "probability": 0.8623046875}, {"start": 2411.49, "end": 2412.07, "word": " بدي", "probability": 0.720703125}, {"start": 2412.07, "end": 2412.53, "word": " يبعد", "probability": 0.8194986979166666}, {"start": 2412.53, "end": 2412.77, "word": " عن", "probability": 0.99462890625}, {"start": 2412.77, "end": 2412.91, "word": " ال", "probability": 0.9755859375}, {"start": 2412.91, "end": 2413.19, "word": " uniform", "probability": 0.76220703125}, {"start": 2413.19, "end": 2413.87, "word": " convergence", "probability": 0.94677734375}, {"start": 2413.87, "end": 2414.33, "word": " بتقول", "probability": 0.59197998046875}, {"start": 2414.33, "end": 2414.49, "word": " لو", "probability": 0.95947265625}, {"start": 2414.49, "end": 2414.77, "word": " شيلنا", "probability": 0.9609375}, {"start": 2414.77, "end": 2414.85, "word": " ال", "probability": 0.99169921875}, {"start": 2414.85, "end": 2415.09, "word": " uniform", "probability": 0.86669921875}, {"start": 2415.09, "end": 2415.83, "word": " convergence", "probability": 0.97119140625}, {"start": 2415.83, "end": 2416.71, "word": " ممكن", "probability": 0.975830078125}, {"start": 2416.71, "end": 2417.37, "word": " نبدله", "probability": 0.7626953125}, {"start": 2417.37, "end": 2417.73, "word": " بإيش", "probability": 0.74200439453125}, {"start": 2417.73, "end": 2418.03, "word": " إيه؟", "probability": 0.72760009765625}, {"start": 2418.03, "end": 2418.55, "word": " ويظل", "probability": 0.761474609375}, {"start": 2418.55, "end": 2419.17, "word": " محافظنا", "probability": 0.8232421875}, {"start": 2419.17, "end": 2419.41, "word": " على", "probability": 0.93896484375}, {"start": 2419.41, "end": 2419.55, "word": " ال", "probability": 0.46240234375}, {"start": 2419.55, "end": 2419.75, "word": " limit", "probability": 0.85791015625}, {"start": 2419.75, "end": 2419.89, "word": " لل", "probability": 0.943359375}, {"start": 2419.89, "end": 2420.41, "word": " integration", "probability": 0.880859375}, {"start": 2420.41, "end": 2420.75, "word": " بساوي", "probability": 0.732421875}, {"start": 2420.75, "end": 2420.85, "word": " ال", "probability": 0.91064453125}, {"start": 2420.85, "end": 2421.19, "word": " integration", "probability": 0.97265625}, {"start": 2421.19, "end": 2421.39, "word": " لل", "probability": 0.505859375}, {"start": 2421.39, "end": 2421.81, "word": " limit؟", "probability": 0.8720703125}, {"start": 2421.81, "end": 2422.05, "word": " آه،", "probability": 0.5992024739583334}, {"start": 2422.05, "end": 2422.83, "word": " بنفع،", "probability": 0.8802490234375}, {"start": 2422.83, "end": 2423.17, "word": " نشوف", "probability": 0.8395182291666666}, {"start": 2423.17, "end": 2423.45, "word": " كيف", "probability": 0.986572265625}], "temperature": 1.0}, {"id": 108, "seek": 244873, "start": 2424.06, "end": 2448.74, "text": "لت أفأن بـ sequence of functions that are integrable in A وB بس بده يدفع ثمن برضه integrable in A وB and suppose that أفأن converts in A وB to an integrable function F يعني أفأن بتروح للـ F على الفترة هذه اللي هو point twice ماجالش uniformly بس الآن بده يفترض شغلة بده يقيد الأفأن", "tokens": [1211, 2655, 5551, 5172, 33456, 4724, 39184, 8310, 295, 6828, 300, 366, 16200, 424, 638, 294, 316, 4032, 33, 4724, 3794, 47525, 3224, 7251, 3215, 5172, 3615, 38637, 27842, 4724, 43042, 3224, 3572, 712, 294, 316, 4032, 33, 293, 7297, 300, 5551, 5172, 33456, 38874, 294, 316, 4032, 33, 281, 364, 16200, 424, 638, 2445, 479, 37495, 22653, 5551, 5172, 33456, 39894, 32887, 5016, 24976, 39184, 479, 15844, 27188, 2655, 25720, 29538, 13672, 1829, 31439, 935, 6091, 19446, 7435, 6027, 8592, 48806, 4724, 3794, 6024, 48506, 47525, 3224, 7251, 5172, 2655, 43042, 13412, 17082, 37977, 47525, 3224, 7251, 4587, 25708, 16247, 5172, 33456], "avg_logprob": -0.24939903559593055, "compression_ratio": 1.6118143459915613, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 2424.06, "end": 2424.42, "word": "لت", "probability": 0.6431884765625}, {"start": 2424.42, "end": 2424.74, "word": " أفأن", "probability": 0.4742024739583333}, {"start": 2424.74, "end": 2424.92, "word": " بـ", "probability": 0.5030517578125}, {"start": 2424.92, "end": 2425.2, "word": " sequence", "probability": 0.29345703125}, {"start": 2425.2, "end": 2425.52, "word": " of", "probability": 0.943359375}, {"start": 2425.52, "end": 2425.92, "word": " functions", "probability": 0.78466796875}, {"start": 2425.92, "end": 2426.18, "word": " that", "probability": 0.61962890625}, {"start": 2426.18, "end": 2426.4, "word": " are", "probability": 0.92919921875}, {"start": 2426.4, "end": 2426.94, "word": " integrable", "probability": 0.8636067708333334}, {"start": 2426.94, "end": 2427.1, "word": " in", "probability": 0.234130859375}, {"start": 2427.1, "end": 2427.2, "word": " A", "probability": 0.64404296875}, {"start": 2427.2, "end": 2427.34, "word": " وB", "probability": 0.6953125}, {"start": 2427.34, "end": 2427.52, "word": " بس", "probability": 0.88134765625}, {"start": 2427.52, "end": 2427.66, "word": " بده", "probability": 0.602294921875}, {"start": 2427.66, "end": 2427.84, "word": " يدفع", "probability": 0.8486328125}, {"start": 2427.84, "end": 2428.1, "word": " ثمن", "probability": 0.819580078125}, {"start": 2428.1, "end": 2428.52, "word": " برضه", "probability": 0.9900716145833334}, {"start": 2428.52, "end": 2429.68, "word": " integrable", "probability": 0.6014404296875}, {"start": 2429.68, "end": 2429.84, "word": " in", "probability": 0.78759765625}, {"start": 2429.84, "end": 2429.98, "word": " A", "probability": 0.970703125}, {"start": 2429.98, "end": 2430.18, "word": " وB", "probability": 0.93408203125}, {"start": 2430.18, "end": 2430.38, "word": " and", "probability": 0.81396484375}, {"start": 2430.38, "end": 2430.98, "word": " suppose", "probability": 0.923828125}, {"start": 2430.98, "end": 2431.74, "word": " that", "probability": 0.9443359375}, {"start": 2431.74, "end": 2432.54, "word": " أفأن", "probability": 0.8072916666666666}, {"start": 2432.54, "end": 2433.2, "word": " converts", "probability": 0.6474609375}, {"start": 2433.2, "end": 2433.48, "word": " in", "probability": 0.68994140625}, {"start": 2433.48, "end": 2433.7, "word": " A", "probability": 0.9775390625}, {"start": 2433.7, "end": 2433.98, "word": " وB", "probability": 0.961669921875}, {"start": 2433.98, "end": 2434.18, "word": " to", "probability": 0.88232421875}, {"start": 2434.18, "end": 2434.4, "word": " an", "probability": 0.84619140625}, {"start": 2434.4, "end": 2434.96, "word": " integrable", "probability": 0.8629557291666666}, {"start": 2434.96, "end": 2435.38, "word": " function", "probability": 0.9501953125}, {"start": 2435.38, "end": 2435.7, "word": " F", "probability": 0.8154296875}, {"start": 2435.7, "end": 2436.02, "word": " يعني", "probability": 0.898193359375}, {"start": 2436.02, "end": 2436.4, "word": " أفأن", "probability": 0.9293619791666666}, {"start": 2436.4, "end": 2436.76, "word": " بتروح", "probability": 0.94580078125}, {"start": 2436.76, "end": 2436.98, "word": " للـ", "probability": 0.6226806640625}, {"start": 2436.98, "end": 2437.2, "word": " F", "probability": 0.8193359375}, {"start": 2437.2, "end": 2437.78, "word": " على", "probability": 0.91552734375}, {"start": 2437.78, "end": 2438.94, "word": " الفترة", "probability": 0.91943359375}, {"start": 2438.94, "end": 2439.4, "word": " هذه", "probability": 0.84130859375}, {"start": 2439.4, "end": 2440.18, "word": " اللي", "probability": 0.958740234375}, {"start": 2440.18, "end": 2440.76, "word": " هو", "probability": 0.9931640625}, {"start": 2440.76, "end": 2441.78, "word": " point", "probability": 0.92626953125}, {"start": 2441.78, "end": 2442.5, "word": " twice", "probability": 0.728515625}, {"start": 2442.5, "end": 2443.34, "word": " ماجالش", "probability": 0.60845947265625}, {"start": 2443.34, "end": 2443.84, "word": " uniformly", "probability": 0.81103515625}, {"start": 2443.84, "end": 2444.7, "word": " بس", "probability": 0.982177734375}, {"start": 2444.7, "end": 2445.12, "word": " الآن", "probability": 0.7412109375}, {"start": 2445.12, "end": 2445.54, "word": " بده", "probability": 0.926513671875}, {"start": 2445.54, "end": 2446.06, "word": " يفترض", "probability": 0.9771728515625}, {"start": 2446.06, "end": 2446.52, "word": " شغلة", "probability": 0.8899739583333334}, {"start": 2446.52, "end": 2446.92, "word": " بده", "probability": 0.809814453125}, {"start": 2446.92, "end": 2447.56, "word": " يقيد", "probability": 0.9635416666666666}, {"start": 2447.56, "end": 2448.74, "word": " الأفأن", "probability": 0.8346354166666666}], "temperature": 1.0}, {"id": 109, "seek": 247873, "start": 2449.45, "end": 2478.73, "text": "بشغلة معينة شغلة كبيرة برضه التقييد مش جليل طبعا لكن بيضل اشي يعني منفذ تاني suppose also that there exist B أكبر من سفر بحيث انه FN of X أصغر شهر بيه لكل X element in A و B و لكل N element in B هذا في الواقع اللي هو uniform boundedness ليش؟ لأن هو مفترض ان ال sequence FN of X", "tokens": [3555, 8592, 17082, 37977, 20449, 9957, 3660, 13412, 17082, 37977, 9122, 3555, 48923, 4724, 43042, 3224, 16712, 38436, 25708, 37893, 10874, 20292, 1211, 23032, 3555, 3615, 995, 44381, 4724, 1829, 11242, 1211, 1975, 8592, 1829, 37495, 22653, 9154, 5172, 8848, 6055, 7649, 1829, 7297, 611, 300, 456, 2514, 363, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 4724, 5016, 1829, 12984, 16472, 3224, 479, 45, 295, 1783, 5551, 9381, 17082, 2288, 13412, 3224, 2288, 4724, 1829, 3224, 5296, 28820, 1783, 4478, 294, 316, 4032, 363, 4032, 5296, 28820, 426, 4478, 294, 363, 23758, 8978, 2423, 14407, 4587, 3615, 13672, 1829, 31439, 9452, 37498, 1287, 32239, 8592, 22807, 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"temperature": 1.0}, {"id": 116, "seek": 262259, "start": 2602.71, "end": 2622.59, "text": "الان نيجي لجزيه الثالث من المحاضرة اللي بتعلق بالـ sequence of differentiable functions خلينا نشوف المثال أول اشي و بعدين نيجي لنظريتنا let fn of x بساوي summation 2 to the minus k cosine 3k x k من 1 لعين ده يعني الان", "tokens": [6027, 7649, 8717, 1829, 7435, 1829, 5296, 7435, 11622, 1829, 3224, 6024, 104, 6027, 12984, 9154, 9673, 5016, 46958, 25720, 13672, 1829, 39894, 30241, 4587, 20666, 39184, 8310, 295, 819, 9364, 6828, 16490, 1211, 9957, 995, 8717, 8592, 38688, 9673, 12984, 6027, 5551, 12610, 1975, 8592, 1829, 4032, 39182, 9957, 8717, 1829, 7435, 1829, 5296, 1863, 19913, 16572, 2655, 8315, 718, 283, 77, 295, 2031, 4724, 3794, 995, 45865, 28811, 568, 281, 264, 3175, 350, 23565, 805, 74, 2031, 350, 9154, 502, 5296, 3615, 9957, 11778, 3224, 37495, 22653, 2423, 7649], "avg_logprob": -0.2999320639216382, "compression_ratio": 1.4434389140271493, "no_speech_prob": 7.152557373046875e-07, "words": 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وDifferentiable في كل مكان", "tokens": [37, 77, 295, 1783, 39896, 6225, 3555, 9640, 3660, 18871, 2423, 39184, 50, 40879, 399, 23758, 9154, 36764, 24401, 5296, 39184, 5, 45, 37037, 24192, 6225, 3555, 9640, 3660, 18871, 46859, 655, 295, 11166, 3916, 4032, 46958, 5016, 14739, 29538, 46859, 655, 295, 11166, 3916, 39896, 6225, 3555, 9640, 3660, 18871, 46859, 655, 295, 20825, 9364, 11166, 3916, 12399, 32767, 45636, 995, 22807, 5296, 33456, 28242, 36764, 24401, 3660, 9154, 16095, 6225, 3555, 9640, 3660, 18871, 8626, 76, 399, 12399, 3773, 642, 8626, 76, 399, 5296, 39184, 34, 329, 11166, 882, 16070, 39184, 34, 329, 11166, 882, 3714, 14851, 29973, 8978, 28242, 3714, 41361, 4032, 35, 15790, 9364, 8978, 28242, 3714, 41361], "avg_logprob": -0.27972898230088494, "compression_ratio": 2.0, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2638.69, "end": 2639.19, "word": "Fn", "probability": 0.35693359375}, {"start": 2639.19, "end": 2639.35, "word": " of", "probability": 0.135498046875}, 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{"start": 2715.28, "end": 2715.94, "word": " functions", "probability": 0.80126953125}, {"start": 2715.94, "end": 2716.62, "word": " FN", "probability": 0.3994140625}, {"start": 2716.62, "end": 2718.68, "word": " differentiable", "probability": 0.59356689453125}, {"start": 2718.68, "end": 2719.44, "word": " on", "probability": 0.91748046875}, {"start": 2719.44, "end": 2720.16, "word": " R", "probability": 0.96435546875}, {"start": 2720.16, "end": 2721.22, "word": " but", "probability": 0.7783203125}, {"start": 2721.22, "end": 2722.2, "word": " its", "probability": 0.81005859375}, {"start": 2722.2, "end": 2723.06, "word": " limit", "probability": 0.88037109375}, {"start": 2723.06, "end": 2724.02, "word": " FN", "probability": 0.919189453125}, {"start": 2724.02, "end": 2725.1, "word": " هنشوف", "probability": 0.858154296875}, {"start": 2725.1, "end": 2725.62, "word": " converts", "probability": 0.21142578125}, {"start": 2725.62, "end": 2726.06, "word": " كمان", "probability": 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{"start": 2863.0, "end": 2863.34, "word": " هو", "probability": 0.986328125}, {"start": 2863.34, "end": 2864.14, "word": " condition", "probability": 0.93115234375}, {"start": 2864.14, "end": 2864.84, "word": " أو", "probability": 0.88720703125}, {"start": 2864.84, "end": 2865.58, "word": " conditions", "probability": 0.8759765625}, {"start": 2865.58, "end": 2866.66, "word": " تضمنلي", "probability": 0.838134765625}, {"start": 2866.66, "end": 2867.52, "word": " أنه", "probability": 0.764892578125}, {"start": 2867.52, "end": 2868.26, "word": " لما", "probability": 0.6585693359375}, {"start": 2868.26, "end": 2868.7, "word": " Fn", "probability": 0.8681640625}, {"start": 2868.7, "end": 2869.06, "word": " تروح", "probability": 0.9910481770833334}, {"start": 2869.06, "end": 2869.32, "word": " للـ", "probability": 0.85595703125}, {"start": 2869.32, "end": 2869.42, "word": " F", "probability": 0.9482421875}, {"start": 2869.42, "end": 2869.56, "word": " و", "probability": 0.8935546875}, 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"probability": 0.970703125}, {"start": 2875.28, "end": 2875.48, "word": " اللي", "probability": 0.959716796875}, {"start": 2875.48, "end": 2875.76, "word": " هي", "probability": 0.9423828125}], "temperature": 1.0}, {"id": 129, "seek": 289595, "start": 2875.99, "end": 2895.95, "text": "أخر جزء في ال section و في ال chapter اللي بدنا ناخده منه اللي هي بتجاوبنا على هذا الأمر و نشوف أيش النظرية بتقوله و من ثم بعد أنفة من نص نبرهن النظرية نشوف let J subset من R be a bounded interval", "tokens": [10721, 34740, 10874, 11622, 38207, 8978, 2423, 3541, 4032, 8978, 2423, 7187, 13672, 1829, 47525, 8315, 8717, 47283, 3215, 3224, 9154, 3224, 13672, 1829, 39896, 39894, 7435, 995, 37746, 8315, 15844, 23758, 16247, 29973, 4032, 8717, 8592, 38688, 36632, 8592, 28239, 19913, 2288, 10632, 39894, 39648, 3224, 4032, 9154, 38637, 2304, 39182, 14739, 5172, 3660, 9154, 8717, 9381, 8717, 26890, 3224, 1863, 28239, 19913, 2288, 10632, 8717, 8592, 38688, 718, 508, 25993, 9154, 497, 312, 257, 37498, 15035], 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بدنا", "probability": 0.770751953125}, {"start": 2880.33, "end": 2880.63, "word": " ناخده", "probability": 0.982421875}, {"start": 2880.63, "end": 2880.99, "word": " منه", "probability": 0.9853515625}, {"start": 2880.99, "end": 2881.77, "word": " اللي", "probability": 0.927490234375}, {"start": 2881.77, "end": 2882.15, "word": " هي", "probability": 0.82958984375}, {"start": 2882.15, "end": 2883.43, "word": " بتجاوبنا", "probability": 0.77802734375}, {"start": 2883.43, "end": 2883.67, "word": " على", "probability": 0.888671875}, {"start": 2883.67, "end": 2884.23, "word": " هذا", "probability": 0.9296875}, {"start": 2884.23, "end": 2885.11, "word": " الأمر", "probability": 0.876220703125}, {"start": 2885.11, "end": 2885.59, "word": " و", "probability": 0.9619140625}, {"start": 2885.59, "end": 2886.21, "word": " نشوف", "probability": 0.908203125}, {"start": 2886.21, "end": 2886.57, "word": " أيش", "probability": 0.755615234375}, {"start": 2886.57, "end": 2887.07, "word": " النظرية", 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Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges uniformly Converges usually Converges usually Converges usually Converges usually Converges usually Converges usually Converges usually Converges usually Converges usually Converges usually Converges usually Converges usually Converges usually Converges usually Converges usually", "tokens": [9838, 331, 2880, 48806, 2656, 331, 2880, 48806, 2656, 331, 2880, 48806, 2656, 331, 2880, 48806, 2656, 331, 2880, 48806, 2656, 331, 2880, 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"text": "صار عندي الآن", "tokens": [9381, 9640, 18871, 16254, 6024, 48506], "avg_logprob": -0.4040178486279079, "compression_ratio": 0.6857142857142857, "no_speech_prob": 0.0, "words": [{"start": 3962.6, "end": 3963.02, "word": "صار", "probability": 0.828125}, {"start": 3963.02, "end": 3963.3, "word": " عندي", "probability": 0.6588134765625}, {"start": 3963.3, "end": 3963.76, "word": " الآن", "probability": 0.695556640625}], "temperature": 1.0}, {"id": 177, "seek": 399469, "start": 3965.85, "end": 3994.69, "text": "أثبتنا أن Fn تتعامل بشكل مرتبط سمينا limit Fn بسوء F which is continuous because Fn زي ما قلنا is continuous لأنه في الأصل هي differentiable و Fn بتروح لل F إذن صارت ال F اللي هي نفسها continuous الآن بدي أستخدم ال continuity عند ال F بدي أصل اللي بديه طيب خد C الآن ب any fixed point in J الآن بدي أروح إلى إثبات أنه", "tokens": [10721, 12984, 3555, 2655, 8315, 14739, 479, 77, 6055, 2655, 3615, 10943, 1211, 4724, 8592, 28820, 3714, 43500, 3555, 9566, 8608, 2304, 1829, 8315, 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"probability": 0.3431396484375}, {"start": 3967.03, "end": 3967.49, "word": " تتعامل", "probability": 0.54400634765625}, {"start": 3967.49, "end": 3967.65, "word": " بشكل", "probability": 0.6817220052083334}, {"start": 3967.65, "end": 3967.83, "word": " مرتبط", "probability": 0.552886962890625}, {"start": 3967.83, "end": 3969.33, "word": " سمينا", "probability": 0.63409423828125}, {"start": 3969.33, "end": 3969.57, "word": " limit", "probability": 0.22705078125}, {"start": 3969.57, "end": 3969.99, "word": " Fn", "probability": 0.769775390625}, {"start": 3969.99, "end": 3970.31, "word": " بسوء", "probability": 0.4324798583984375}, {"start": 3970.31, "end": 3970.53, "word": " F", "probability": 0.892578125}, {"start": 3970.53, "end": 3970.81, "word": " which", "probability": 0.18408203125}, {"start": 3970.81, "end": 3971.05, "word": " is", "probability": 0.9521484375}, {"start": 3971.05, "end": 3971.61, "word": " continuous", "probability": 0.8955078125}, {"start": 3971.61, "end": 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"end": 3975.81, "word": " و", "probability": 0.58935546875}, {"start": 3975.81, "end": 3976.25, "word": " Fn", "probability": 0.7396240234375}, {"start": 3976.25, "end": 3976.63, "word": " بتروح", "probability": 0.7682291666666666}, {"start": 3976.63, "end": 3976.79, "word": " لل", "probability": 0.7294921875}, {"start": 3976.79, "end": 3977.03, "word": " F", "probability": 0.494140625}, {"start": 3977.03, "end": 3977.35, "word": " إذن", "probability": 0.4783121744791667}, {"start": 3977.35, "end": 3977.71, "word": " صارت", "probability": 0.9510091145833334}, {"start": 3977.71, "end": 3977.87, "word": " ال", "probability": 0.6884765625}, {"start": 3977.87, "end": 3978.13, "word": " F", "probability": 0.84375}, {"start": 3978.13, "end": 3978.61, "word": " اللي", "probability": 0.6890869140625}, {"start": 3978.61, "end": 3978.79, "word": " هي", "probability": 0.873046875}, {"start": 3978.79, "end": 3979.27, "word": " نفسها", "probability": 0.9894205729166666}, {"start": 3979.27, "end": 3979.95, "word": " continuous", "probability": 0.94287109375}, {"start": 3979.95, "end": 3980.99, "word": " الآن", "probability": 0.6815185546875}, {"start": 3980.99, "end": 3982.11, "word": " بدي", "probability": 0.4677734375}, {"start": 3982.11, "end": 3982.63, "word": " أستخدم", "probability": 0.8524169921875}, {"start": 3982.63, "end": 3982.81, "word": " ال", "probability": 0.91845703125}, {"start": 3982.81, "end": 3983.33, "word": " continuity", "probability": 0.90771484375}, {"start": 3983.33, "end": 3983.69, "word": " عند", "probability": 0.95849609375}, {"start": 3983.69, "end": 3983.83, "word": " ال", "probability": 0.7451171875}, {"start": 3983.83, "end": 3984.05, "word": " F", "probability": 0.955078125}, {"start": 3984.05, "end": 3984.35, "word": " بدي", "probability": 0.867431640625}, {"start": 3984.35, "end": 3984.65, "word": " أصل", "probability": 0.9541015625}, {"start": 3984.65, "end": 3984.83, "word": " اللي", "probability": 0.85595703125}, {"start": 3984.83, "end": 3985.49, "word": " بديه", "probability": 0.8338216145833334}, {"start": 3985.49, "end": 3986.29, "word": " طيب", "probability": 0.85986328125}, {"start": 3986.29, "end": 3987.35, "word": " خد", "probability": 0.93603515625}, {"start": 3987.35, "end": 3987.65, "word": " C", "probability": 0.67236328125}, {"start": 3987.65, "end": 3988.25, "word": " الآن", "probability": 0.61328125}, {"start": 3988.25, "end": 3988.71, "word": " ب", "probability": 0.94677734375}, {"start": 3988.71, "end": 3989.09, "word": " any", "probability": 0.318115234375}, {"start": 3989.09, "end": 3989.55, "word": " fixed", "probability": 0.9169921875}, {"start": 3989.55, "end": 3990.15, "word": " point", "probability": 0.9775390625}, {"start": 3990.15, "end": 3990.47, "word": " in", "probability": 0.94384765625}, {"start": 3990.47, "end": 3990.73, "word": " J", "probability": 0.8583984375}, {"start": 3990.73, "end": 3991.75, "word": " الآن", "probability": 0.7529296875}, {"start": 3991.75, "end": 3992.09, "word": " بدي", "probability": 0.818603515625}, {"start": 3992.09, "end": 3992.43, "word": " أروح", "probability": 0.9283854166666666}, {"start": 3992.43, "end": 3992.65, "word": " إلى", "probability": 0.83447265625}, {"start": 3992.65, "end": 3993.51, "word": " إثبات", "probability": 0.892578125}, {"start": 3993.51, "end": 3994.69, "word": " أنه", "probability": 0.79296875}], "temperature": 1.0}, {"id": 178, "seek": 401445, "start": 3995.31, "end": 4014.45, "text": "الـ Limit للـ F of X ناقص F of C على X minus C as X بتروح للـ C هذه الـ C وينها؟ الـ C أخذناها arbitrary في X in J إذا أثبتت لهذا الـ C اللي هو بساوي اللي هي G of C", "tokens": [6027, 39184, 16406, 270, 24976, 39184, 479, 295, 1783, 8717, 995, 4587, 9381, 479, 295, 383, 15844, 1783, 3175, 383, 382, 1783, 39894, 32887, 5016, 24976, 39184, 383, 29538, 2423, 39184, 383, 4032, 9957, 11296, 22807, 2423, 39184, 383, 5551, 9778, 8848, 8315, 11296, 23211, 8978, 1783, 294, 508, 11933, 15730, 5551, 12984, 3555, 2655, 2655, 46740, 15730, 2423, 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" C", "probability": 0.97021484375}, {"start": 4000.93, "end": 4001.67, "word": " على", "probability": 0.75341796875}, {"start": 4001.67, "end": 4002.03, "word": " X", "probability": 0.94677734375}, {"start": 4002.03, "end": 4002.41, "word": " minus", "probability": 0.67041015625}, {"start": 4002.41, "end": 4002.95, "word": " C", "probability": 0.98876953125}, {"start": 4002.95, "end": 4003.53, "word": " as", "probability": 0.37451171875}, {"start": 4003.53, "end": 4003.81, "word": " X", "probability": 0.9892578125}, {"start": 4003.81, "end": 4004.17, "word": " بتروح", "probability": 0.9111328125}, {"start": 4004.17, "end": 4004.41, "word": " للـ", "probability": 0.8310546875}, {"start": 4004.41, "end": 4004.55, "word": " C", "probability": 0.71826171875}, {"start": 4004.55, "end": 4004.97, "word": " هذه", "probability": 0.77685546875}, {"start": 4004.97, "end": 4005.63, "word": " الـ", "probability": 0.760009765625}, {"start": 4005.63, "end": 4005.81, "word": " C", "probability": 0.8662109375}, {"start": 4005.81, "end": 4006.31, "word": " وينها؟", "probability": 0.7972412109375}, {"start": 4006.31, "end": 4006.37, "word": " الـ", "probability": 0.8037109375}, {"start": 4006.37, "end": 4006.43, "word": " C", "probability": 0.951171875}, {"start": 4006.43, "end": 4006.97, "word": " أخذناها", "probability": 0.8021484375}, {"start": 4006.97, "end": 4007.39, "word": " arbitrary", "probability": 0.49658203125}, {"start": 4007.39, "end": 4007.73, "word": " في", "probability": 0.53759765625}, {"start": 4007.73, "end": 4007.95, "word": " X", "probability": 0.95361328125}, {"start": 4007.95, "end": 4008.23, "word": " in", "probability": 0.328857421875}, {"start": 4008.23, "end": 4008.51, "word": " J", "probability": 0.86865234375}, {"start": 4008.51, "end": 4009.09, "word": " إذا", "probability": 0.95263671875}, {"start": 4009.09, "end": 4009.67, "word": " أثبتت", "probability": 0.98671875}, {"start": 4009.67, "end": 4010.13, "word": " لهذا", "probability": 0.752685546875}, {"start": 4010.13, "end": 4010.33, "word": " الـ", "probability": 0.974853515625}, {"start": 4010.33, "end": 4010.63, "word": " C", "probability": 0.95263671875}, {"start": 4010.63, "end": 4011.29, "word": " اللي", "probability": 0.848388671875}, {"start": 4011.29, "end": 4011.47, "word": " هو", "probability": 0.98876953125}, {"start": 4011.47, "end": 4012.11, "word": " بساوي", "probability": 0.8931884765625}, {"start": 4012.11, "end": 4012.61, "word": " اللي", "probability": 0.807861328125}, {"start": 4012.61, "end": 4012.95, "word": " هي", "probability": 0.8642578125}, {"start": 4012.95, "end": 4013.69, "word": " G", "probability": 0.806640625}, {"start": 4013.69, "end": 4013.99, "word": " of", "probability": 0.962890625}, {"start": 4013.99, "end": 4014.45, "word": " C", "probability": 0.99462890625}], "temperature": 1.0}, {"id": 179, "seek": 403191, "start": 4014.91, "end": 4031.91, "text": "معناته إذا أثبتت هذا معناته أثبتت أن F' of C exist وهي ساوي G of C ومعناته أثبتت أن F بتساوي G على كل J لأن C ماخدها arbitrary but fixed يعني إيش بده أثبت في هذا؟", "tokens": [2304, 3615, 8315, 47395, 11933, 15730, 5551, 12984, 3555, 2655, 2655, 23758, 20449, 8315, 47395, 5551, 12984, 3555, 2655, 2655, 14739, 479, 6, 295, 383, 2514, 37037, 1829, 8608, 995, 45865, 460, 295, 383, 4032, 2304, 3615, 8315, 47395, 5551, 12984, 3555, 2655, 2655, 14739, 479, 39894, 3794, 995, 45865, 460, 15844, 28242, 508, 5296, 33456, 383, 3714, 47283, 3215, 11296, 23211, 457, 6806, 37495, 22653, 11933, 1829, 8592, 47525, 3224, 5551, 12984, 3555, 2655, 8978, 23758, 22807], "avg_logprob": -0.24980222650721104, "compression_ratio": 1.58125, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 4014.91, "end": 4015.67, "word": "معناته", "probability": 0.815673828125}, {"start": 4015.67, "end": 4015.87, "word": " إذا", "probability": 0.77734375}, {"start": 4015.87, "end": 4016.25, "word": " أثبتت", "probability": 0.84365234375}, {"start": 4016.25, "end": 4016.43, "word": " هذا", "probability": 0.58837890625}, {"start": 4016.43, "end": 4016.87, "word": " معناته", "probability": 0.8689778645833334}, {"start": 4016.87, "end": 4017.35, "word": " أثبتت", "probability": 0.97431640625}, {"start": 4017.35, "end": 4017.47, "word": " أن", "probability": 0.47314453125}, {"start": 4017.47, "end": 4017.75, "word": " F'", "probability": 0.2344970703125}, {"start": 4018.11, "end": 4018.75, "word": " of", "probability": 0.1622314453125}, {"start": 4018.75, "end": 4019.11, "word": " C", "probability": 0.77099609375}, {"start": 4019.11, "end": 4019.69, "word": " exist", "probability": 0.50341796875}, {"start": 4019.69, "end": 4020.03, "word": " وهي", "probability": 0.747802734375}, {"start": 4020.03, "end": 4020.29, "word": " ساوي", "probability": 0.6220703125}, {"start": 4020.29, "end": 4020.47, "word": " G", "probability": 0.72705078125}, {"start": 4020.47, "end": 4020.65, "word": " of", "probability": 0.755859375}, {"start": 4020.65, "end": 4020.97, "word": " C", 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"probability": 0.94189453125}, {"start": 4380.63, "end": 4381.37, "word": " ومشروع", "probability": 0.944921875}, {"start": 4381.37, "end": 4382.11, "word": " استخدامه", "probability": 0.95654296875}], "temperature": 1.0}, {"id": 195, "seek": 438775, "start": 4382.67, "end": 4387.75, "text": "الآن من جهة ثانية بدي استخدم الـ FK' of C إنها exist", "tokens": [6027, 148, 48506, 9154, 10874, 3224, 3660, 38637, 7649, 10632, 4724, 16254, 44713, 9778, 40448, 2423, 39184, 479, 42, 6, 295, 383, 36145, 11296, 2514], "avg_logprob": -0.3473557818394441, "compression_ratio": 0.9425287356321839, "no_speech_prob": 0.0, "words": [{"start": 4382.67, "end": 4383.11, "word": "الآن", "probability": 0.5707600911458334}, {"start": 4383.11, "end": 4383.67, "word": " من", "probability": 0.83251953125}, {"start": 4383.67, "end": 4384.01, "word": " جهة", "probability": 0.96630859375}, {"start": 4384.01, "end": 4384.53, "word": " ثانية", "probability": 0.9762369791666666}, {"start": 4384.53, "end": 4385.35, "word": " بدي", "probability": 0.482666015625}, {"start": 4385.35, "end": 4385.89, "word": " استخدم", "probability": 0.88134765625}, {"start": 4385.89, "end": 4386.09, "word": " الـ", "probability": 0.79443359375}, {"start": 4386.09, "end": 4386.43, "word": " FK'", "probability": 0.511962890625}, {"start": 4386.71, "end": 4386.97, "word": " of", "probability": 0.114013671875}, {"start": 4386.97, "end": 4387.13, "word": " C", "probability": 0.8798828125}, {"start": 4387.13, "end": 4387.33, "word": " إنها", "probability": 0.843017578125}, {"start": 4387.33, "end": 4387.75, "word": " exist", "probability": 0.6982421875}], "temperature": 1.0}, {"id": 196, "seek": 441282, "start": 4391.04, "end": 4412.82, "text": "إذا صارت عندي هذه زي ما قلنا وهذه هاتين تان بحجله استخدمهم لكل ان أكبر أو ساو كي بدي استخدم هذه كمان و أربط هذه مع هذه و أخلص اللي بديها since fk prime of c exist مين ال K هذه ال K هذه اللي خدتها ال superman بين هذه و هذه عشان ينفع استخدم هذه و هذه و هذه بعد شوية", "tokens": 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4404.18, "end": 4404.36, "word": " ال", "probability": 0.92529296875}, {"start": 4404.36, "end": 4404.52, "word": " K", "probability": 0.344482421875}, {"start": 4404.52, "end": 4404.96, "word": " هذه", "probability": 0.75146484375}, {"start": 4404.96, "end": 4405.72, "word": " ال", "probability": 0.376953125}, {"start": 4405.72, "end": 4405.94, "word": " K", "probability": 0.81591796875}, {"start": 4405.94, "end": 4406.2, "word": " هذه", "probability": 0.87646484375}, {"start": 4406.2, "end": 4406.36, "word": " اللي", "probability": 0.987060546875}, {"start": 4406.36, "end": 4406.74, "word": " خدتها", "probability": 0.8846435546875}, {"start": 4406.74, "end": 4406.86, "word": " ال", "probability": 0.6005859375}, {"start": 4406.86, "end": 4407.32, "word": " superman", "probability": 0.73583984375}, {"start": 4407.32, "end": 4407.54, "word": " بين", "probability": 0.93310546875}, {"start": 4407.54, "end": 4407.9, "word": " هذه", "probability": 0.85205078125}, {"start": 4407.9, "end": 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