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+{"segments": [{"id": 1, "seek": 1258, "start": 1.64, "end": 12.58, "text": "بسم الله الرحمن الرحيم، بنكمل مع محاضرات الـ Geometric Optics ووصلنا لموضوع الـ Angle of Deviation في موضوع البرزمات", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 12399, 44945, 24793, 1211, 20449, 3714, 5016, 46958, 2288, 9307, 2423, 39184, 2876, 29470, 21455, 1167, 4032, 2407, 36520, 8315, 32767, 2407, 11242, 45367, 2423, 39184, 4521, 306, 295, 48565, 399, 8978, 3714, 2407, 11242, 45367, 2423, 26890, 11622, 2304, 9307], "avg_logprob": -0.13595281862745098, "compression_ratio": 1.297872340425532, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1.64, "end": 1.92, "word": "بسم", "probability": 0.671142578125}, {"start": 1.92, "end": 2.06, "word": " الله", "probability": 0.9267578125}, {"start": 2.06, "end": 2.44, "word": " الرحمن", "probability": 0.9127604166666666}, {"start": 2.44, "end": 3.96, "word": " الرحيم،", "probability": 0.83203125}, {"start": 3.96, "end": 5.32, 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prism is the sum of deviations produced at each of its surfaces. These two deviations may be in the same direction or in opposite direction. That is, the light will be deflected either in the same direction or in opposite directions. Notice its drawings. Here I have the light ray.", "tokens": [2278, 25163, 295, 1442, 300, 11335, 807, 264, 582, 1434, 307, 264, 2408, 295, 31219, 763, 7126, 412, 1184, 295, 1080, 16130, 13, 1981, 732, 31219, 763, 815, 312, 294, 264, 912, 3513, 420, 294, 6182, 3513, 13, 663, 307, 11, 264, 1442, 486, 312, 41373, 292, 2139, 294, 264, 912, 3513, 420, 294, 6182, 11095, 13, 13428, 1080, 18618, 13, 1692, 286, 362, 264, 1442, 18592, 13], "avg_logprob": -0.3537137750266255, "compression_ratio": 1.8742857142857143, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 103.95, "end": 104.23, "word": "The", "probability": 0.5009765625}, {"start": 104.23, "end": 104.73, "word": " deviation", "probability": 0.7041015625}, {"start": 104.73, "end": 105.13, "word": " of", "probability": 0.9609375}, {"start": 105.13, "end": 105.59, "word": " light", "probability": 0.83935546875}, {"start": 105.59, "end": 106.23, "word": " that", "probability": 0.4228515625}, {"start": 106.23, "end": 106.97, "word": " passes", 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Of course, the vertical fall, because the light entry from one medium to another medium differs in density or refractive index, the vertical fall does not change the direction of the light, but slows down in the glass.", "tokens": [17685, 11, 264, 1442, 5696, 28450, 322, 264, 700, 4123, 11, 309, 630, 406, 11229, 412, 439, 11, 293, 439, 264, 28426, 2011, 322, 264, 1150, 4123, 13, 2720, 1164, 11, 264, 9429, 2100, 11, 570, 264, 1442, 8729, 490, 472, 6399, 281, 1071, 6399, 37761, 294, 10305, 420, 45353, 488, 8186, 11, 264, 9429, 2100, 775, 406, 1319, 264, 3513, 295, 264, 1442, 11, 457, 35789, 760, 294, 264, 4276, 13], "avg_logprob": -0.5393835616438356, "compression_ratio": 1.7525252525252526, "no_speech_prob": 2.205371856689453e-06, "words": [{"start": 154.7, "end": 155.1, "word": "Here,", "probability": 0.27734375}, {"start": 155.22, "end": 155.4, "word": " the", "probability": 0.59228515625}, {"start": 155.4, "end": 155.72, "word": " light", "probability": 0.125732421875}, {"start": 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angle of deviation is the angle between the rays that came out of the prism and the rays that entered the prism if we extend them", "tokens": [2278, 3217, 5802, 295, 25163, 307, 264, 5802, 1296, 264, 24417, 300, 1361, 484, 295, 264, 582, 1434, 293, 264, 24417, 300, 9065, 264, 582, 1434, 498, 321, 10101, 552], "avg_logprob": -0.4566532373428345, "compression_ratio": 1.5274725274725274, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 197.15, "end": 197.71, "word": "The", "probability": 0.3095703125}, {"start": 197.71, "end": 197.97, "word": " total", "probability": 0.76220703125}, {"start": 197.97, "end": 198.35, "word": " angle", "probability": 0.86767578125}, {"start": 198.35, "end": 198.57, "word": " of", "probability": 0.9580078125}, {"start": 198.57, "end": 199.13, "word": " deviation", "probability": 0.88330078125}, {"start": 199.13, "end": 199.77, "word": " is", "probability": 0.54150390625}, {"start": 199.77, "end": 200.29, "word": " the", "probability": 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It is possible in another situation to do more than that. The same prism. To do more than that, but less than that is not possible. 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By the way, the angle of deviation of the prism varies according to its position in space and according to the fall of light on it. 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Because it will direct the rays towards its base, which means that the image instead of being here on the optical axis, will go down towards the base. As for the distance from the lens, which is 20 cm, it will increase by 30 cm, which means that if it increases by 30 cm or 40 cm, it means that the rays have spread, which means that it is like a negative lens. If it is 19 cm or 18 cm or 15 cm, it works like a plus lens. 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considered to be zero, but it is plus, which means that it does not change from the negative state to positive state. Therefore, this prism is very important to understand that its force is how much it can rotate the rays to its base, millimeter, two millimeters, centimeter, meter, etc. And this is what the prism diopter means, which we will talk about now. 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{"id": 49, "seek": 119845, "start": 1170.47, "end": 1198.45, "text": "Fifty centimeters, the radius of the rays is three centimeters. At a distance of fifty centimeters, the radius of the rays is three centimeters. How much? If the radius of the rays is three centimeters at a distance of fifty centimeters, then at a distance of one hundred centimeters, the radius of the rays is x. How do we get x? 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0.9638671875}], "temperature": 1.0}, {"id": 60, "seek": 147215, "start": 1460.43, "end": 1472.15, "text": "Okay, we come to the drawing in front of us, this is the prism, we reduced the drawing and moved it here We say, at a distance of one hundred centimeters, the letter of the alphabet is of course the angle of theta", "tokens": [8297, 11, 321, 808, 281, 264, 6316, 294, 1868, 295, 505, 11, 341, 307, 264, 582, 1434, 11, 321, 9212, 264, 6316, 293, 4259, 309, 510, 492, 584, 11, 412, 257, 4560, 295, 472, 3262, 23300, 11, 264, 5063, 295, 264, 23339, 307, 295, 1164, 264, 5802, 295, 9725], "avg_logprob": -0.4590624928474426, "compression_ratio": 1.5323741007194245, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 1460.43, "end": 1460.75, "word": "Okay,", "probability": 0.78173828125}, {"start": 1460.95, "end": 1461.19, "word": " we", "probability": 0.4794921875}, {"start": 1461.19, "end": 1461.23, "word": " come", "probability": 0.5068359375}, {"start": 1461.23, "end": 1461.61, 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reduced", "probability": 0.164306640625}, {"start": 1464.71, "end": 1464.93, "word": " the", "probability": 0.68212890625}, {"start": 1464.93, "end": 1465.13, "word": " drawing", "probability": 0.82080078125}, {"start": 1465.13, "end": 1465.23, "word": " and", "probability": 0.80126953125}, {"start": 1465.23, "end": 1465.49, "word": " moved", "probability": 0.300537109375}, {"start": 1465.49, "end": 1465.71, "word": " it", "probability": 0.89892578125}, {"start": 1465.71, "end": 1465.97, "word": " here", "probability": 0.81103515625}, {"start": 1465.97, "end": 1466.57, "word": " We", "probability": 0.399658203125}, {"start": 1466.57, "end": 1466.89, "word": " say,", "probability": 0.9267578125}, {"start": 1467.39, "end": 1467.51, "word": " at", "probability": 0.50341796875}, {"start": 1467.51, "end": 1467.67, "word": " a", "probability": 0.802734375}, {"start": 1467.67, "end": 1467.87, "word": " distance", "probability": 0.82470703125}, {"start": 1467.87, "end": 1467.99, "word": " of", "probability": 0.95654296875}, {"start": 1467.99, "end": 1468.05, "word": " one", "probability": 0.35400390625}, {"start": 1468.05, "end": 1468.19, "word": " hundred", "probability": 0.8857421875}, {"start": 1468.19, "end": 1468.81, "word": " centimeters,", "probability": 0.7177734375}, {"start": 1469.93, "end": 1470.03, "word": " the", "probability": 0.78857421875}, {"start": 1470.03, "end": 1470.29, "word": " letter", "probability": 0.2078857421875}, {"start": 1470.29, "end": 1470.49, "word": " of", "probability": 0.74755859375}, {"start": 1470.49, "end": 1470.57, "word": " the", "probability": 0.7216796875}, {"start": 1470.57, "end": 1470.85, "word": " alphabet", "probability": 0.11004638671875}, {"start": 1470.85, "end": 1471.13, "word": " is", "probability": 0.50341796875}, {"start": 1471.13, "end": 1471.15, "word": " of", "probability": 0.63623046875}, {"start": 1471.15, "end": 1471.29, "word": " course", "probability": 0.9365234375}, {"start": 1471.29, "end": 1471.67, "word": " the", "probability": 0.411376953125}, {"start": 1471.67, "end": 1471.67, "word": " angle", "probability": 0.82666015625}, {"start": 1471.67, "end": 1471.83, "word": " of", "probability": 0.54931640625}, {"start": 1471.83, "end": 1472.15, "word": " theta", "probability": 0.8115234375}], "temperature": 1.0}, {"id": 61, "seek": 149447, "start": 1472.95, "end": 1494.47, "text": "And here, the number of centimeters is based on the number of centimeters in the Prism Diopter. If it's 10 centimeters, it's 10 Prism. If it's 5 centimeters, it's 5 Prism Diopter. And so on. This distance is 100 centimeters. We want to see the relation between this angle and the Prism Diopter. We say tan theta over theta, which is equivalent to", "tokens": [5289, 510, 11, 264, 1230, 295, 23300, 307, 2361, 322, 264, 1230, 295, 23300, 294, 264, 2114, 1434, 8789, 404, 391, 13, 759, 309, 311, 1266, 23300, 11, 309, 311, 1266, 2114, 1434, 13, 759, 309, 311, 1025, 23300, 11, 309, 311, 1025, 2114, 1434, 8789, 404, 391, 13, 400, 370, 322, 13, 639, 4560, 307, 2319, 23300, 13, 492, 528, 281, 536, 264, 9721, 1296, 341, 5802, 293, 264, 2114, 1434, 8789, 404, 391, 13, 492, 584, 7603, 9725, 670, 9725, 11, 597, 307, 10344, 281], "avg_logprob": -0.43501419912685046, "compression_ratio": 1.8306878306878307, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 1472.95, "end": 1473.21, "word": "And", "probability": 0.197265625}, {"start": 1473.21, "end": 1473.89, "word": " here,", "probability": 0.6015625}, {"start": 1474.39, "end": 1474.63, "word": " the", "probability": 0.59375}, {"start": 1474.63, "end": 1474.77, "word": " number", "probability": 0.68603515625}, {"start": 1474.77, 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"end": 1480.67, "word": " Diopter.", "probability": 0.7021077473958334}, {"start": 1480.75, "end": 1480.85, "word": " If", "probability": 0.70458984375}, {"start": 1480.85, "end": 1480.95, "word": " it's", "probability": 0.56298828125}, {"start": 1480.95, "end": 1481.13, "word": " 10", "probability": 0.64013671875}, {"start": 1481.13, "end": 1481.55, "word": " centimeters,", "probability": 0.5859375}, {"start": 1481.57, "end": 1481.65, "word": " it's", "probability": 0.6943359375}, {"start": 1481.65, "end": 1481.83, "word": " 10", "probability": 0.88232421875}, {"start": 1481.83, "end": 1482.21, "word": " Prism.", "probability": 0.63525390625}, {"start": 1482.23, "end": 1482.41, "word": " If", "probability": 0.84619140625}, {"start": 1482.41, "end": 1482.47, "word": " it's", "probability": 0.9521484375}, {"start": 1482.47, "end": 1482.71, "word": " 5", "probability": 0.97119140625}, {"start": 1482.71, "end": 1483.07, "word": " centimeters,", "probability": 0.8583984375}, {"start": 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1487.55, "end": 1487.77, "word": " We", "probability": 0.81884765625}, {"start": 1487.77, "end": 1487.91, "word": " want", "probability": 0.5537109375}, {"start": 1487.91, "end": 1488.01, "word": " to", "probability": 0.9697265625}, {"start": 1488.01, "end": 1488.17, "word": " see", "probability": 0.56884765625}, {"start": 1488.17, "end": 1488.29, "word": " the", "probability": 0.67236328125}, {"start": 1488.29, "end": 1488.55, "word": " relation", "probability": 0.49267578125}, {"start": 1488.55, "end": 1488.91, "word": " between", "probability": 0.5322265625}, {"start": 1488.91, "end": 1488.93, "word": " this", "probability": 0.5830078125}, {"start": 1488.93, "end": 1489.23, "word": " angle", "probability": 0.8056640625}, {"start": 1489.23, "end": 1489.81, "word": " and", "probability": 0.82177734375}, {"start": 1489.81, "end": 1489.95, "word": " the", "probability": 0.6298828125}, {"start": 1489.95, "end": 1490.35, "word": " Prism", "probability": 0.976318359375}, {"start": 1490.35, "end": 1490.93, "word": " Diopter.", "probability": 0.8810221354166666}, {"start": 1491.29, "end": 1491.45, "word": " We", "probability": 0.76318359375}, {"start": 1491.45, "end": 1491.69, "word": " say", "probability": 0.6982421875}, {"start": 1491.69, "end": 1492.07, "word": " tan", "probability": 0.51611328125}, {"start": 1492.07, "end": 1492.53, "word": " theta", "probability": 0.5244140625}, {"start": 1492.53, "end": 1492.83, "word": " over", "probability": 0.1763916015625}, {"start": 1492.83, "end": 1493.35, "word": " theta,", "probability": 0.8798828125}, {"start": 1493.53, "end": 1493.59, "word": " which", "probability": 0.91357421875}, {"start": 1493.59, "end": 1493.71, "word": " is", "probability": 0.88330078125}, {"start": 1493.71, "end": 1494.23, "word": " equivalent", "probability": 0.2103271484375}, {"start": 1494.23, "end": 1494.47, "word": " to", "probability": 0.8505859375}], "temperature": 1.0}, {"id": 62, "seek": 151884, "start": 1496.24, "end": 1518.84, "text": "This is the triangle of the angle, this is the triangle of the angle, this is theta, minus theta, tan theta, which is the number of librism diopters, which is the number of librisms, divided by the angle, which is 100 degrees. This is the triangle, but it is upside down. Okay, I want the librism diopter to be 100 times tan theta.", "tokens": [5723, 307, 264, 13369, 295, 264, 5802, 11, 341, 307, 264, 13369, 295, 264, 5802, 11, 341, 307, 9725, 11, 3175, 9725, 11, 7603, 9725, 11, 597, 307, 264, 1230, 295, 22854, 5714, 76, 1026, 404, 1559, 11, 597, 307, 264, 1230, 295, 22854, 5714, 2592, 11, 6666, 538, 264, 5802, 11, 597, 307, 2319, 5310, 13, 639, 307, 264, 13369, 11, 457, 309, 307, 14119, 760, 13, 1033, 11, 286, 528, 264, 22854, 5714, 76, 1026, 404, 391, 281, 312, 2319, 1413, 7603, 9725, 13], "avg_logprob": -0.6329023207741222, "compression_ratio": 2.1354838709677417, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 1496.24, "end": 1496.72, "word": "This", "probability": 0.051605224609375}, {"start": 1496.72, "end": 1496.92, "word": " is", "probability": 0.5791015625}, {"start": 1496.92, "end": 1496.92, "word": " the", "probability": 0.340576171875}, {"start": 1496.92, "end": 1497.22, "word": " triangle", "probability": 0.392822265625}, {"start": 1497.22, "end": 1497.46, "word": " of", "probability": 0.356689453125}, {"start": 1497.46, "end": 1497.82, "word": " the", "probability": 0.59130859375}, {"start": 1497.82, "end": 1498.12, "word": " angle,", "probability": 0.220947265625}, {"start": 1498.52, "end": 1499.12, "word": " this", "probability": 0.50048828125}, {"start": 1499.12, "end": 1499.14, "word": " is", "probability": 0.8798828125}, {"start": 1499.14, "end": 1499.3, "word": " the", "probability": 0.7197265625}, {"start": 1499.3, "end": 1499.6, "word": " triangle", "probability": 0.250244140625}, {"start": 1499.6, "end": 1499.74, "word": " of", "probability": 0.61572265625}, {"start": 1499.74, "end": 1499.78, "word": " the", "probability": 0.75}, {"start": 1499.78, "end": 1500.14, "word": " angle,", "probability": 0.5390625}, {"start": 1500.7, "end": 1500.9, "word": " this", "probability": 0.77392578125}, {"start": 1500.9, "end": 1500.98, "word": " is", "probability": 0.93115234375}, {"start": 1500.98, "end": 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1506.48, "end": 1506.66, "word": " which", "probability": 0.2470703125}, {"start": 1506.66, "end": 1506.66, "word": " is", "probability": 0.85986328125}, {"start": 1506.66, "end": 1506.66, "word": " the", "probability": 0.6552734375}, {"start": 1506.66, "end": 1506.72, "word": " number", "probability": 0.92431640625}, {"start": 1506.72, "end": 1506.84, "word": " of", "probability": 0.9658203125}, {"start": 1506.84, "end": 1507.4, "word": " librisms,", "probability": 0.6692708333333334}, {"start": 1507.78, "end": 1508.12, "word": " divided", "probability": 0.26513671875}, {"start": 1508.12, "end": 1508.16, "word": " by", "probability": 0.97412109375}, {"start": 1508.16, "end": 1508.3, "word": " the", "probability": 0.71533203125}, {"start": 1508.3, "end": 1508.7, "word": " angle,", "probability": 0.1103515625}, {"start": 1508.86, "end": 1508.94, "word": " which", "probability": 0.93359375}, {"start": 1508.94, "end": 1509.12, "word": " is", "probability": 0.9296875}, {"start": 1509.12, "end": 1509.36, "word": " 100", "probability": 0.4833984375}, {"start": 1509.36, "end": 1509.54, "word": " degrees.", "probability": 0.54833984375}, {"start": 1509.62, "end": 1509.8, "word": " This", "probability": 0.64208984375}, {"start": 1509.8, "end": 1509.86, "word": " is", "probability": 0.62060546875}, {"start": 1509.86, "end": 1509.9, "word": " the", "probability": 0.59619140625}, {"start": 1509.9, "end": 1510.24, "word": " triangle,", "probability": 0.90478515625}, {"start": 1510.38, "end": 1510.5, "word": " but", "probability": 0.826171875}, {"start": 1510.5, "end": 1510.62, "word": " it", "probability": 0.313232421875}, {"start": 1510.62, "end": 1510.62, "word": " is", "probability": 0.63134765625}, {"start": 1510.62, "end": 1510.82, "word": " upside", "probability": 0.1280517578125}, {"start": 1510.82, "end": 1511.08, "word": " down.", "probability": 0.7822265625}, {"start": 1511.34, "end": 1511.46, "word": " Okay,", "probability": 0.25830078125}, {"start": 1512.4, "end": 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shift tan or arc tan of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the prism diopters by one hundred centimeters of the pr", "tokens": [40, 528, 12622, 11, 286, 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We got its distance from its path to a distance of 100 centimeters, we found it 20 centimeters. 20 centimeters deviated the rays, that is, 20 prisms of diopter. We want to say, we want the angle of deviation to shift again. 20 centimeters divided by 100 centimeters, as the equation says.", "tokens": [440, 1230, 295, 23300, 6666, 538, 2319, 23300, 11, 341, 582, 1434, 31219, 770, 264, 24417, 490, 641, 3100, 13, 492, 658, 1080, 4560, 490, 1080, 3100, 281, 257, 4560, 295, 2319, 23300, 11, 321, 1352, 309, 945, 23300, 13, 945, 23300, 31219, 770, 264, 24417, 11, 300, 307, 11, 945, 582, 13539, 295, 1026, 404, 391, 13, 492, 528, 281, 584, 11, 321, 528, 264, 5802, 295, 25163, 281, 5513, 797, 13, 945, 23300, 6666, 538, 2319, 23300, 11, 382, 264, 5367, 1619, 13], "avg_logprob": -0.5755813904972964, "compression_ratio": 2.058201058201058, "no_speech_prob": 3.993511199951172e-06, "words": [{"start": 1609.72, "end": 1609.98, "word": " The", "probability": 0.333984375}, {"start": 1609.98, "end": 1610.1, "word": " number", "probability": 0.4873046875}, {"start": 1610.1, "end": 1610.34, "word": " of", "probability": 0.9384765625}, {"start": 1610.34, "end": 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We know them together, how do we know them? 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No, even if the eye is in the position of the Exo, as we see around the monster, or in the position of the Izo around Onsi, or even Hyper or Hypo, meaning up or down, I have nothing to do with it. The plastic prism and the prism should also be parallel to the face. 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The light will move, the target will move, and eventually it will be aligned with the visual axis. 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