diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/-AsaJEAav4s_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/-AsaJEAav4s_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..5dbddd633481227908811662c5a067c58cd76543
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/-AsaJEAav4s_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2757, "start": 1.65, "end": 27.57, "text": "بسم الله الرحمن الرحيم بنواصل مع محاضرات الـ Geometric Optics ووصلنا لعين لprism aberration أو الزيغ اللي ممكن يحدث ليها لprism أثناء مرور الضوء فيه Chromatic aberration الزيغ اللوني produces colored fringes at the edges of objects viewed through prisms and can be bothersome to patients يعني", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 44945, 2407, 33546, 1211, 20449, 3714, 5016, 46958, 2288, 9307, 2423, 39184, 2876, 29470, 21455, 1167, 4032, 2407, 36520, 8315, 5296, 3615, 9957, 5296, 1424, 1434, 4340, 2405, 34051, 6024, 110, 1829, 17082, 13672, 1829, 3714, 43020, 7251, 24401, 12984, 32239, 11296, 5296, 1424, 1434, 5551, 12984, 1863, 16606, 3714, 2288, 13063, 6024, 114, 2407, 38207, 8978, 3224, 1721, 13143, 4340, 2405, 6024, 110, 1829, 17082, 13672, 11536, 1829, 14725, 14332, 431, 278, 279, 412, 264, 8819, 295, 6565, 19174, 807, 582, 13539, 293, 393, 312, 33980, 423, 281, 4209, 37495, 22653], "avg_logprob": -0.1803002439293207, "compression_ratio": 1.5172413793103448, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 1.65, "end": 1.93, "word": "بسم", "probability": 0.6854248046875}, {"start": 1.93, "end": 2.07, "word": " الله", "probability": 0.9189453125}, {"start": 2.07, "end": 2.39, "word": " الرحمن", "probability": 0.8776041666666666}, {"start": 2.39, "end": 3.03, "word": " الرحيم", "probability": 0.9884440104166666}, {"start": 3.03, "end": 3.77, "word": " بنواصل", "probability": 0.8262939453125}, {"start": 3.77, "end": 3.93, "word": " مع", "probability": 0.986328125}, {"start": 3.93, "end": 4.71, "word": " محاضرات", "probability": 0.927734375}, {"start": 4.71, "end": 5.01, "word": " الـ", "probability": 0.90234375}, {"start": 5.01, "end": 5.51, "word": " Geometric", "probability": 0.759521484375}, {"start": 5.51, "end": 6.23, "word": " Optics", "probability": 0.910888671875}, {"start": 6.23, "end": 7.77, "word": " ووصلنا", "probability": 0.898193359375}, {"start": 7.77, "end": 8.23, "word": " لعين", "probability": 0.8650716145833334}, {"start": 8.23, "end": 8.85, "word": " لprism", "probability": 0.673095703125}, {"start": 8.85, "end": 9.59, "word": " aberration", "probability": 0.965576171875}, {"start": 9.59, "end": 9.89, "word": " أو", "probability": 0.646484375}, {"start": 9.89, "end": 10.37, "word": " الزيغ", "probability": 0.9210205078125}, {"start": 10.37, "end": 10.65, "word": " اللي", "probability": 0.803466796875}, {"start": 10.65, "end": 11.25, "word": " ممكن", "probability": 0.9814453125}, {"start": 11.25, "end": 11.73, "word": " يحدث", "probability": 0.9591471354166666}, {"start": 11.73, "end": 12.11, "word": " ليها", "probability": 0.564453125}, {"start": 12.11, "end": 12.67, "word": " لprism", "probability": 0.6690266927083334}, {"start": 12.67, "end": 13.95, "word": " أثناء", "probability": 0.957763671875}, {"start": 13.95, "end": 14.53, "word": " مرور", "probability": 0.8658854166666666}, {"start": 14.53, "end": 15.57, "word": " الضوء", "probability": 0.8697509765625}, {"start": 15.57, "end": 16.19, "word": " فيه", "probability": 0.849853515625}, {"start": 16.19, "end": 16.97, "word": " Chromatic", "probability": 0.6490478515625}, {"start": 16.97, "end": 17.71, "word": " aberration", "probability": 0.79345703125}, {"start": 17.71, "end": 18.17, "word": " الزيغ", "probability": 0.8116455078125}, {"start": 18.17, "end": 18.67, "word": " اللوني", "probability": 0.9241536458333334}, {"start": 18.67, "end": 19.19, "word": " produces", "probability": 0.9833984375}, {"start": 19.19, "end": 19.77, "word": " colored", "probability": 0.69287109375}, {"start": 19.77, "end": 20.47, "word": " fringes", "probability": 0.9612630208333334}, {"start": 20.47, "end": 20.69, "word": " at", "probability": 0.96337890625}, {"start": 20.69, "end": 20.85, "word": " the", "probability": 0.91650390625}, {"start": 20.85, "end": 21.35, "word": " edges", "probability": 0.92919921875}, {"start": 21.35, "end": 22.15, "word": " of", "probability": 0.9697265625}, {"start": 22.15, "end": 22.69, "word": " objects", "probability": 0.94921875}, {"start": 22.69, "end": 23.27, "word": " viewed", "probability": 0.8701171875}, {"start": 23.27, "end": 23.69, "word": " through", "probability": 0.92138671875}, {"start": 23.69, "end": 24.17, "word": " prisms", "probability": 0.862548828125}, {"start": 24.17, "end": 24.49, "word": " and", "probability": 0.90771484375}, {"start": 24.49, "end": 24.77, "word": " can", "probability": 0.94384765625}, {"start": 24.77, "end": 25.01, "word": " be", "probability": 0.9521484375}, {"start": 25.01, "end": 25.79, "word": " bothersome", "probability": 0.967041015625}, {"start": 25.79, "end": 26.31, "word": " to", "probability": 0.97802734375}, {"start": 26.31, "end": 26.63, "word": " patients", "probability": 0.7451171875}, {"start": 26.63, "end": 27.57, "word": " يعني", "probability": 0.842041015625}], "temperature": 1.0}, {"id": 2, "seek": 5233, "start": 29.61, "end": 52.33, "text": "among the aberrations or the problems that occur in the prism, which they call chromatic aberration, that is, the objects that I look at through the prism, especially when the power of the prism is high, I see around the objects colorful waves sometimes annoying the light sources or the objects that I look at", "tokens": [335, 556, 264, 4340, 12154, 420, 264, 2740, 300, 5160, 294, 264, 582, 1434, 11, 597, 436, 818, 16209, 2399, 4340, 2405, 11, 300, 307, 11, 264, 6565, 300, 286, 574, 412, 807, 264, 582, 1434, 11, 2318, 562, 264, 1347, 295, 264, 582, 1434, 307, 1090, 11, 286, 536, 926, 264, 6565, 18506, 9417, 2171, 11304, 264, 1442, 7139, 420, 264, 6565, 300, 286, 574, 412], "avg_logprob": -0.3600643369204858, "compression_ratio": 1.834319526627219, "no_speech_prob": 1.710653305053711e-05, "words": [{"start": 29.61, "end": 30.25, "word": "among", "probability": 0.62158203125}, {"start": 30.25, "end": 30.89, "word": " the", "probability": 0.5625}, {"start": 30.89, "end": 31.59, "word": " aberrations", "probability": 0.884765625}, {"start": 31.59, "end": 31.91, "word": " or", "probability": 0.7939453125}, {"start": 31.91, "end": 32.03, "word": " the", "probability": 0.56689453125}, {"start": 32.03, "end": 32.39, "word": " problems", "probability": 0.7392578125}, {"start": 32.39, "end": 32.61, "word": " that", "probability": 0.67822265625}, {"start": 32.61, "end": 32.81, "word": " occur", "probability": 0.420166015625}, {"start": 32.81, "end": 33.01, "word": " in", "probability": 0.355712890625}, {"start": 33.01, "end": 33.19, "word": " the", "probability": 0.40869140625}, {"start": 33.19, "end": 33.51, "word": " prism,", "probability": 0.8408203125}, {"start": 33.59, "end": 33.69, "word": " which", "probability": 0.68505859375}, {"start": 33.69, "end": 33.87, "word": " they", "probability": 0.4443359375}, {"start": 33.87, "end": 34.13, "word": " call", "probability": 0.85546875}, {"start": 34.13, "end": 34.81, "word": " chromatic", "probability": 0.862060546875}, {"start": 34.81, "end": 35.41, "word": " aberration,", "probability": 0.899658203125}, {"start": 35.47, "end": 36.49, "word": " that", "probability": 0.29931640625}, {"start": 36.49, "end": 37.35, "word": " is,", "probability": 0.7734375}, {"start": 37.35, "end": 38.39, "word": " the", "probability": 0.78173828125}, {"start": 38.39, "end": 38.89, "word": " objects", "probability": 0.52734375}, {"start": 38.89, "end": 39.13, "word": " that", "probability": 0.83935546875}, {"start": 39.13, "end": 39.39, "word": " I", "probability": 0.97998046875}, {"start": 39.39, "end": 39.75, "word": " look", "probability": 0.79736328125}, {"start": 39.75, "end": 40.05, "word": " at", "probability": 0.875}, {"start": 40.05, "end": 40.47, "word": " through", "probability": 0.78955078125}, {"start": 40.47, "end": 40.83, "word": " the", "probability": 0.91455078125}, {"start": 40.83, "end": 41.19, "word": " prism,", "probability": 0.91796875}, {"start": 41.35, "end": 41.51, "word": " especially", "probability": 0.78271484375}, {"start": 41.51, "end": 41.71, "word": " when", "probability": 0.8193359375}, {"start": 41.71, "end": 42.09, "word": " the", "probability": 0.83447265625}, {"start": 42.09, "end": 42.37, "word": " power", "probability": 0.85888671875}, {"start": 42.37, "end": 42.87, "word": " of", "probability": 0.8935546875}, {"start": 42.87, "end": 43.13, "word": " the", "probability": 0.90966796875}, {"start": 43.13, "end": 43.55, "word": " prism", "probability": 0.9404296875}, {"start": 43.55, "end": 43.55, "word": " is", "probability": 0.94287109375}, {"start": 43.55, "end": 43.55, "word": " high,", "probability": 0.873046875}, {"start": 44.03, "end": 44.15, "word": " I", "probability": 0.96630859375}, {"start": 44.15, "end": 44.41, "word": " see", "probability": 0.86279296875}, {"start": 44.41, "end": 44.69, "word": " around", "probability": 0.82666015625}, {"start": 44.69, "end": 45.01, "word": " the", "probability": 0.8369140625}, {"start": 45.01, "end": 45.49, "word": " objects", "probability": 0.8974609375}, {"start": 45.49, "end": 45.67, "word": " colorful", "probability": 0.356201171875}, {"start": 45.67, "end": 46.75, "word": " waves", "probability": 0.322265625}, {"start": 46.75, "end": 47.67, "word": " sometimes", "probability": 0.292724609375}, {"start": 47.67, "end": 48.21, "word": " annoying", "probability": 0.54248046875}, {"start": 48.21, "end": 49.39, "word": " the", "probability": 0.58056640625}, {"start": 49.39, "end": 50.25, "word": " light", "probability": 0.5908203125}, {"start": 50.25, "end": 50.45, "word": " sources", "probability": 0.80810546875}, {"start": 50.45, "end": 50.71, "word": " or", "probability": 0.90234375}, {"start": 50.71, "end": 50.91, "word": " the", "probability": 0.61279296875}, {"start": 50.91, "end": 51.27, "word": " objects", "probability": 0.95166015625}, {"start": 51.27, "end": 51.49, "word": " that", "probability": 0.8564453125}, {"start": 51.49, "end": 51.73, "word": " I", "probability": 0.994140625}, {"start": 51.73, "end": 52.13, "word": " look", "probability": 0.861328125}, {"start": 52.13, "end": 52.33, "word": " at", "probability": 0.95166015625}], "temperature": 1.0}, {"id": 3, "seek": 7466, "start": 53.14, "end": 74.66, "text": "on them through the prism, of course, the patients can be disturbed from this age, so the chromatic aberrations are one of the aberrations that the prism can do with it, and also these aberrations, the chromatic aberrations are more the more the prism power is more, the more the prism power is stronger and more", "tokens": [266, 552, 807, 264, 582, 1434, 11, 295, 1164, 11, 264, 4209, 393, 312, 30558, 490, 341, 3205, 11, 370, 264, 16209, 2399, 4340, 12154, 366, 472, 295, 264, 4340, 12154, 300, 264, 582, 1434, 393, 360, 365, 309, 11, 293, 611, 613, 4340, 12154, 11, 264, 16209, 2399, 4340, 12154, 366, 544, 264, 544, 264, 582, 1434, 1347, 307, 544, 11, 264, 544, 264, 582, 1434, 1347, 307, 7249, 293, 544], "avg_logprob": -0.37350170579675124, "compression_ratio": 2.08, "no_speech_prob": 1.2755393981933594e-05, "words": [{"start": 53.14, "end": 53.7, "word": "on", "probability": 0.64501953125}, {"start": 53.7, "end": 53.98, "word": " them", "probability": 0.7841796875}, {"start": 53.98, "end": 54.4, "word": " through", "probability": 0.76025390625}, {"start": 54.4, "end": 54.7, "word": " the", "probability": 0.59228515625}, {"start": 54.7, "end": 55.04, "word": " prism,", "probability": 0.796142578125}, {"start": 55.22, "end": 55.36, "word": " of", "probability": 0.72216796875}, {"start": 55.36, "end": 55.6, "word": " course,", "probability": 0.96044921875}, {"start": 55.86, "end": 56.2, "word": " the", "probability": 0.458740234375}, {"start": 56.2, "end": 56.56, "word": " patients", "probability": 0.82666015625}, {"start": 56.56, "end": 57.0, "word": " can", "probability": 0.44677734375}, {"start": 57.0, "end": 57.14, "word": " be", "probability": 0.49169921875}, {"start": 57.14, "end": 57.36, "word": " disturbed", "probability": 0.453369140625}, {"start": 57.36, "end": 57.58, "word": " from", "probability": 0.2030029296875}, {"start": 57.58, "end": 58.04, "word": " this", "probability": 0.7568359375}, {"start": 58.04, "end": 58.92, "word": " age,", "probability": 0.6455078125}, {"start": 59.02, "end": 59.22, "word": " so", "probability": 0.76318359375}, {"start": 59.22, "end": 59.38, "word": " the", "probability": 0.55078125}, {"start": 59.38, "end": 59.86, "word": " chromatic", "probability": 0.873291015625}, {"start": 59.86, "end": 60.56, "word": " aberrations", "probability": 0.788330078125}, {"start": 60.56, "end": 61.54, "word": " are", "probability": 0.61962890625}, {"start": 61.54, "end": 62.0, "word": " one", "probability": 0.82421875}, {"start": 62.0, "end": 62.18, "word": " of", "probability": 0.95703125}, {"start": 62.18, "end": 62.24, "word": " the", "probability": 0.921875}, {"start": 62.24, "end": 62.82, "word": " aberrations", "probability": 0.883544921875}, {"start": 62.82, "end": 63.02, "word": " that", "probability": 0.76708984375}, {"start": 63.02, "end": 63.08, "word": " the", "probability": 0.48828125}, {"start": 63.08, "end": 63.08, "word": " prism", "probability": 0.900146484375}, {"start": 63.08, "end": 63.3, "word": " can", "probability": 0.8955078125}, {"start": 63.3, "end": 63.62, "word": " do", "probability": 0.611328125}, {"start": 63.62, "end": 63.82, "word": " with", "probability": 0.4443359375}, {"start": 63.82, "end": 64.5, "word": " it,", "probability": 0.595703125}, {"start": 65.06, "end": 65.32, "word": " and", "probability": 0.89697265625}, {"start": 65.32, "end": 65.92, "word": " also", "probability": 0.6376953125}, {"start": 65.92, "end": 66.62, "word": " these", "probability": 0.68505859375}, {"start": 66.62, "end": 67.58, "word": " aberrations,", "probability": 0.880859375}, {"start": 67.66, "end": 67.76, "word": " the", "probability": 0.67822265625}, {"start": 67.76, "end": 68.16, "word": " chromatic", "probability": 0.952880859375}, {"start": 68.16, "end": 68.84, "word": " aberrations", "probability": 0.933349609375}, {"start": 68.84, "end": 69.54, "word": " are", "probability": 0.513671875}, {"start": 69.54, "end": 70.08, "word": " more", "probability": 0.55908203125}, {"start": 70.08, "end": 70.36, "word": " the", "probability": 0.2247314453125}, {"start": 70.36, "end": 70.6, "word": " more", "probability": 0.5556640625}, {"start": 70.6, "end": 70.94, "word": " the", "probability": 0.77880859375}, {"start": 70.94, "end": 71.38, "word": " prism", "probability": 0.94970703125}, {"start": 71.38, "end": 71.8, "word": " power", "probability": 0.8486328125}, {"start": 71.8, "end": 72.02, "word": " is", "probability": 0.7431640625}, {"start": 72.02, "end": 72.24, "word": " more,", "probability": 0.53564453125}, {"start": 72.42, "end": 72.58, "word": " the", "probability": 0.73046875}, {"start": 72.58, "end": 72.66, "word": " more", "probability": 0.724609375}, {"start": 72.66, "end": 73.04, "word": " the", "probability": 0.80224609375}, {"start": 73.04, "end": 73.42, "word": " prism", "probability": 0.947509765625}, {"start": 73.42, "end": 73.78, "word": " power", "probability": 0.89013671875}, {"start": 73.78, "end": 73.94, "word": " is", "probability": 0.92626953125}, {"start": 73.94, "end": 74.22, "word": " stronger", "probability": 0.5048828125}, {"start": 74.22, "end": 74.4, "word": " and", "probability": 0.9326171875}, {"start": 74.4, "end": 74.66, "word": " more", "probability": 0.88037109375}], "temperature": 1.0}, {"id": 4, "seek": 9293, "start": 75.19, "end": 92.93, "text": "So this is number one. Number two, prisms have other aberrations such as asymmetrical magnification. In other words, a patient wearing a prism in front of his eye, and the other eye does not have a prism in front of it, may feel asymmetrical magnification.", "tokens": [6455, 341, 307, 1230, 472, 13, 5118, 732, 11, 582, 13539, 362, 661, 4340, 12154, 1270, 382, 37277, 32283, 4944, 3774, 13, 682, 661, 2283, 11, 257, 4537, 4769, 257, 582, 1434, 294, 1868, 295, 702, 3313, 11, 293, 264, 661, 3313, 775, 406, 362, 257, 582, 1434, 294, 1868, 295, 309, 11, 815, 841, 37277, 32283, 4944, 3774, 13], "avg_logprob": -0.3329917935074353, "compression_ratio": 1.695364238410596, "no_speech_prob": 8.404254913330078e-06, "words": [{"start": 75.19, "end": 75.43, "word": "So", "probability": 0.564453125}, {"start": 75.43, "end": 75.65, "word": " this", "probability": 0.30322265625}, {"start": 75.65, "end": 76.17, "word": " is", "probability": 0.8466796875}, {"start": 76.17, "end": 76.73, "word": " number", "probability": 0.58203125}, {"start": 76.73, "end": 77.09, "word": " one.", "probability": 0.79541015625}, {"start": 77.21, "end": 77.49, "word": " Number", "probability": 0.68505859375}, {"start": 77.49, "end": 77.97, "word": " two,", "probability": 0.91943359375}, {"start": 78.15, "end": 78.49, "word": " prisms", "probability": 0.711181640625}, {"start": 78.49, "end": 78.89, "word": " have", "probability": 0.943359375}, {"start": 78.89, "end": 79.35, "word": " other", "probability": 0.888671875}, {"start": 79.35, "end": 80.09, "word": " aberrations", "probability": 0.769287109375}, {"start": 80.09, "end": 80.47, "word": " such", "probability": 0.78515625}, {"start": 80.47, "end": 80.85, "word": " as", "probability": 0.93798828125}, {"start": 80.85, "end": 81.69, "word": " asymmetrical", "probability": 0.88623046875}, {"start": 81.69, "end": 82.67, "word": " magnification.", "probability": 0.96923828125}, {"start": 83.49, "end": 83.71, "word": " In", "probability": 0.326171875}, {"start": 83.71, "end": 84.33, "word": " other", "probability": 0.751953125}, {"start": 84.33, "end": 84.33, "word": " words,", "probability": 0.87109375}, {"start": 84.69, "end": 84.95, "word": " a", "probability": 0.48095703125}, {"start": 84.95, "end": 85.23, "word": " patient", "probability": 0.74951171875}, {"start": 85.23, "end": 85.71, "word": " wearing", "probability": 0.492431640625}, {"start": 85.71, "end": 85.89, "word": " a", "probability": 0.83984375}, {"start": 85.89, "end": 85.89, "word": " prism", "probability": 0.9140625}, {"start": 85.89, "end": 85.89, "word": " in", "probability": 0.81201171875}, {"start": 85.89, "end": 86.11, "word": " front", "probability": 0.912109375}, {"start": 86.11, "end": 86.23, "word": " of", "probability": 0.96923828125}, {"start": 86.23, "end": 86.61, "word": " his", "probability": 0.857421875}, {"start": 86.61, "end": 87.17, "word": " eye,", "probability": 0.515625}, {"start": 87.75, "end": 87.87, "word": " and", "probability": 0.671875}, {"start": 87.87, "end": 87.93, "word": " the", "probability": 0.583984375}, {"start": 87.93, "end": 87.93, "word": " other", "probability": 0.7548828125}, {"start": 87.93, "end": 88.31, "word": " eye", "probability": 0.6904296875}, {"start": 88.31, "end": 88.47, "word": " does", "probability": 0.395263671875}, {"start": 88.47, "end": 88.61, "word": " not", "probability": 0.9423828125}, {"start": 88.61, "end": 88.65, "word": " have", "probability": 0.90966796875}, {"start": 88.65, "end": 89.19, "word": " a", "probability": 0.8564453125}, {"start": 89.19, "end": 89.51, "word": " prism", "probability": 0.9482421875}, {"start": 89.51, "end": 89.51, "word": " in", "probability": 0.8173828125}, {"start": 89.51, "end": 89.51, "word": " front", "probability": 0.9375}, {"start": 89.51, "end": 89.51, "word": " of", "probability": 0.92529296875}, {"start": 89.51, "end": 89.51, "word": " it,", "probability": 0.87646484375}, {"start": 89.59, "end": 89.97, "word": " may", "probability": 0.156982421875}, {"start": 89.97, "end": 90.77, "word": " feel", "probability": 0.72314453125}, {"start": 90.77, "end": 91.97, "word": " asymmetrical", "probability": 0.760986328125}, {"start": 91.97, "end": 92.93, "word": " magnification.", "probability": 0.96728515625}], "temperature": 1.0}, {"id": 5, "seek": 11223, "start": 97.15, "end": 112.23, "text": "Or the picture that comes on the network is different from eye to eye because one eye is wearing a prism and the other is not wearing a prism So the chromatic aberration is the first type of the .. of the aberrations, it is annoying", "tokens": [21520, 264, 3036, 300, 1487, 322, 264, 3209, 307, 819, 490, 3313, 281, 3313, 570, 472, 3313, 307, 4769, 257, 582, 1434, 293, 264, 661, 307, 406, 4769, 257, 582, 1434, 407, 264, 16209, 2399, 4340, 2405, 307, 264, 700, 2010, 295, 264, 4386, 295, 264, 4340, 12154, 11, 309, 307, 11304], "avg_logprob": -0.37057782569021547, "compression_ratio": 1.6, "no_speech_prob": 8.404254913330078e-06, "words": [{"start": 97.15, "end": 97.61, "word": "Or", "probability": 0.5556640625}, {"start": 97.61, "end": 97.81, "word": " the", "probability": 0.2249755859375}, {"start": 97.81, "end": 98.25, "word": " picture", "probability": 0.43359375}, {"start": 98.25, "end": 98.69, "word": " that", "probability": 0.70166015625}, {"start": 98.69, "end": 99.17, "word": " comes", "probability": 0.44287109375}, {"start": 99.17, "end": 99.43, "word": " on", "probability": 0.4541015625}, {"start": 99.43, "end": 99.55, "word": " the", "probability": 0.810546875}, {"start": 99.55, "end": 99.93, "word": " network", "probability": 0.318603515625}, {"start": 99.93, "end": 100.37, "word": " is", "probability": 0.405517578125}, {"start": 100.37, "end": 101.29, "word": " different", "probability": 0.8505859375}, {"start": 101.29, "end": 101.79, "word": " from", "probability": 0.77294921875}, {"start": 101.79, "end": 103.07, "word": " eye", "probability": 0.60400390625}, {"start": 103.07, "end": 103.21, "word": " to", "probability": 0.97021484375}, {"start": 103.21, "end": 103.41, "word": " eye", "probability": 0.93798828125}, {"start": 103.41, "end": 103.63, "word": " because", "probability": 0.66796875}, {"start": 103.63, "end": 103.85, "word": " one", "probability": 0.70361328125}, {"start": 103.85, "end": 103.93, "word": " eye", "probability": 0.775390625}, {"start": 103.93, "end": 104.15, "word": " is", "probability": 0.42822265625}, {"start": 104.15, "end": 104.19, "word": " wearing", "probability": 0.779296875}, {"start": 104.19, "end": 104.27, "word": " a", "probability": 0.56103515625}, {"start": 104.27, "end": 104.55, "word": " prism", "probability": 0.77734375}, {"start": 104.55, "end": 104.75, "word": " and", "probability": 0.81201171875}, {"start": 104.75, "end": 104.85, "word": " the", "probability": 0.70361328125}, {"start": 104.85, "end": 105.03, "word": " other", "probability": 0.85302734375}, {"start": 105.03, "end": 105.41, "word": " is", "probability": 0.371826171875}, {"start": 105.41, "end": 105.81, "word": " not", "probability": 0.92236328125}, {"start": 105.81, "end": 106.05, "word": " wearing", "probability": 0.88916015625}, {"start": 106.05, "end": 106.21, "word": " a", "probability": 0.9541015625}, {"start": 106.21, "end": 106.45, "word": " prism", "probability": 0.924072265625}, {"start": 106.45, "end": 106.87, "word": " So", "probability": 0.7109375}, {"start": 106.87, "end": 107.17, "word": " the", "probability": 0.533203125}, {"start": 107.17, "end": 107.69, "word": " chromatic", "probability": 0.90283203125}, {"start": 107.69, "end": 108.17, "word": " aberration", "probability": 0.958251953125}, {"start": 108.17, "end": 108.35, "word": " is", "probability": 0.94775390625}, {"start": 108.35, "end": 108.57, "word": " the", "probability": 0.85498046875}, {"start": 108.57, "end": 108.77, "word": " first", "probability": 0.8857421875}, {"start": 108.77, "end": 109.09, "word": " type", "probability": 0.70654296875}, {"start": 109.09, "end": 109.39, "word": " of", "probability": 0.94970703125}, {"start": 109.39, "end": 109.59, "word": " the", "probability": 0.499755859375}, {"start": 109.59, "end": 109.89, "word": " ..", "probability": 0.70068359375}, {"start": 109.89, "end": 110.69, "word": " of", "probability": 0.72705078125}, {"start": 110.69, "end": 110.81, "word": " the", "probability": 0.6865234375}, {"start": 110.81, "end": 111.57, "word": " aberrations,", "probability": 0.927978515625}, {"start": 111.73, "end": 111.77, "word": " it", "probability": 0.67333984375}, {"start": 111.77, "end": 111.89, "word": " is", "probability": 0.5029296875}, {"start": 111.89, "end": 112.23, "word": " annoying", "probability": 0.619140625}], "temperature": 1.0}, {"id": 6, "seek": 13849, "start": 114.51, "end": 138.49, "text": "sometimes for the patient. The second type of aberration is asymmetrical magnification. The third type is curvature of field. That is, I feel that the field that I look at is bent. All of this is considered one of the annoyances of liberism. Although these aberrations are usually insignificant, most of the time these aberrations are not many.", "tokens": [82, 45890, 337, 264, 4537, 13, 440, 1150, 2010, 295, 4340, 2405, 307, 37277, 32283, 4944, 3774, 13, 440, 2636, 2010, 307, 37638, 295, 2519, 13, 663, 307, 11, 286, 841, 300, 264, 2519, 300, 286, 574, 412, 307, 14075, 13, 1057, 295, 341, 307, 4888, 472, 295, 264, 8759, 2676, 295, 375, 607, 1434, 13, 5780, 613, 4340, 12154, 366, 2673, 43685, 11, 881, 295, 264, 565, 613, 4340, 12154, 366, 406, 867, 13], "avg_logprob": -0.4111842007229203, "compression_ratio": 1.72, "no_speech_prob": 1.329183578491211e-05, "words": [{"start": 114.51000000000002, "end": 115.15, "word": "sometimes", "probability": 0.57684326171875}, {"start": 115.15, "end": 115.35, "word": " for", "probability": 0.59619140625}, {"start": 115.35, "end": 115.45, "word": " the", "probability": 0.630859375}, {"start": 115.45, "end": 115.73, "word": " patient.", "probability": 0.701171875}, {"start": 115.89, "end": 115.95, "word": " The", "probability": 0.375244140625}, {"start": 115.95, "end": 116.21, "word": " second", "probability": 0.8642578125}, {"start": 116.21, "end": 117.19, "word": " type", "probability": 0.64501953125}, {"start": 117.19, "end": 117.43, "word": " of", "probability": 0.91259765625}, {"start": 117.43, "end": 118.01, "word": " aberration", "probability": 0.75927734375}, {"start": 118.01, "end": 118.29, "word": " is", "probability": 0.81787109375}, {"start": 118.29, "end": 119.11, "word": " asymmetrical", "probability": 0.83154296875}, {"start": 119.11, "end": 120.07, "word": " magnification.", "probability": 0.94580078125}, {"start": 120.99, "end": 121.43, "word": " The", "probability": 0.84326171875}, {"start": 121.43, "end": 121.67, "word": " third", "probability": 0.931640625}, {"start": 121.67, "end": 121.93, "word": " type", "probability": 0.83740234375}, {"start": 121.93, "end": 122.13, "word": " is", "probability": 0.87158203125}, {"start": 122.13, "end": 122.67, "word": " curvature", "probability": 0.912109375}, {"start": 122.67, "end": 123.21, "word": " of", "probability": 0.974609375}, {"start": 123.21, "end": 123.59, "word": " field.", "probability": 0.90185546875}, {"start": 123.69, "end": 123.81, "word": " That", "probability": 0.1490478515625}, {"start": 123.81, "end": 123.81, "word": " is,", "probability": 0.72607421875}, {"start": 123.81, "end": 123.97, "word": " I", "probability": 0.85107421875}, {"start": 123.97, "end": 124.21, "word": " feel", "probability": 0.9375}, {"start": 124.21, "end": 124.51, "word": " that", "probability": 0.8115234375}, {"start": 124.51, "end": 124.75, "word": " the", "probability": 0.890625}, {"start": 124.75, "end": 125.01, "word": " field", "probability": 0.92138671875}, {"start": 125.01, "end": 125.15, "word": " that", "probability": 0.638671875}, {"start": 125.15, "end": 125.33, "word": " I", "probability": 0.9833984375}, {"start": 125.33, "end": 125.69, "word": " look", "probability": 0.36767578125}, {"start": 125.69, "end": 125.99, "word": " at", "probability": 0.90869140625}, {"start": 125.99, "end": 126.37, "word": " is", "probability": 0.5908203125}, {"start": 126.37, "end": 127.21, "word": " bent.", "probability": 0.472412109375}, {"start": 127.89, "end": 128.47, "word": " All", "probability": 0.65771484375}, {"start": 128.47, "end": 128.59, "word": " of", "probability": 0.5361328125}, {"start": 128.59, "end": 128.59, "word": " this", "probability": 0.7001953125}, {"start": 128.59, "end": 128.91, "word": " is", "probability": 0.83056640625}, {"start": 128.91, "end": 129.29, "word": " considered", "probability": 0.75}, {"start": 129.29, "end": 129.39, "word": " one", "probability": 0.2042236328125}, {"start": 129.39, "end": 129.57, "word": " of", "probability": 0.962890625}, {"start": 129.57, "end": 129.63, "word": " the", "probability": 0.8837890625}, {"start": 129.63, "end": 130.27, "word": " annoyances", "probability": 0.5765380859375}, {"start": 130.27, "end": 130.65, "word": " of", "probability": 0.94091796875}, {"start": 130.65, "end": 131.31, "word": " liberism.", "probability": 0.5841471354166666}, {"start": 131.81, "end": 132.13, "word": " Although", "probability": 0.90673828125}, {"start": 132.13, "end": 132.47, "word": " these", "probability": 0.84619140625}, {"start": 132.47, "end": 133.23, "word": " aberrations", "probability": 0.923095703125}, {"start": 133.23, "end": 134.83, "word": " are", "probability": 0.94384765625}, {"start": 134.83, "end": 135.27, "word": " usually", "probability": 0.91357421875}, {"start": 135.27, "end": 136.11, "word": " insignificant,", "probability": 0.9619140625}, {"start": 136.55, "end": 136.79, "word": " most", "probability": 0.22998046875}, {"start": 136.79, "end": 136.93, "word": " of", "probability": 0.70263671875}, {"start": 136.93, "end": 137.57, "word": " the", "probability": 0.50830078125}, {"start": 137.57, "end": 137.57, "word": " time", "probability": 0.736328125}, {"start": 137.57, "end": 137.73, "word": " these", "probability": 0.3193359375}, {"start": 137.73, "end": 137.73, "word": " aberrations", "probability": 0.9033203125}, {"start": 137.73, "end": 137.87, "word": " are", "probability": 0.82666015625}, {"start": 137.87, "end": 138.09, "word": " not", "probability": 0.83935546875}, {"start": 138.09, "end": 138.49, "word": " many.", "probability": 0.2166748046875}], "temperature": 1.0}, {"id": 7, "seek": 16393, "start": 140.19, "end": 163.93, "text": "They occasionally produce symptoms even with low power of thalamic prisms أحياناً كتير بتكون مش مزعجة بس في بعض الأحيان بعض المرضى مابيقدرش يتحملها فبالتالي بده حل آخر على سبيل المثال مثلا تخفيف قوة liprism، استعمال liprism أمام العندين أو إيجاد حل آخر غير liprism، غير liprism", "tokens": [8829, 16895, 5258, 8332, 754, 365, 2295, 1347, 295, 258, 304, 20726, 582, 13539, 5551, 5016, 1829, 7649, 995, 14111, 9122, 2655, 13546, 39894, 30544, 37893, 3714, 11622, 3615, 7435, 3660, 4724, 3794, 8978, 45030, 11242, 16247, 5016, 1829, 7649, 45030, 11242, 9673, 43042, 7578, 3714, 16758, 1829, 28543, 2288, 8592, 7251, 2655, 35571, 1211, 11296, 6156, 3555, 6027, 2655, 6027, 1829, 47525, 3224, 11331, 1211, 19753, 34740, 15844, 8608, 21292, 1211, 9673, 12984, 6027, 50113, 15040, 6055, 9778, 5172, 33911, 12174, 2407, 3660, 375, 1424, 1434, 12399, 44713, 25957, 6027, 375, 1424, 1434, 5551, 2304, 10943, 18863, 41260, 9957, 34051, 11933, 1829, 7435, 18513, 11331, 1211, 19753, 34740, 32771, 13546, 375, 1424, 1434, 12399, 32771, 13546, 375, 1424, 1434], "avg_logprob": -0.15056817492177663, "compression_ratio": 1.5916030534351144, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 140.19, "end": 140.47, "word": "They", "probability": 0.630859375}, {"start": 140.47, "end": 141.13, "word": " occasionally", "probability": 0.8837890625}, {"start": 141.13, "end": 141.61, "word": " produce", "probability": 0.841796875}, {"start": 141.61, "end": 142.49, "word": " symptoms", "probability": 0.89599609375}, {"start": 142.49, "end": 143.03, "word": " even", "probability": 0.69775390625}, {"start": 143.03, "end": 143.33, "word": " with", "probability": 0.908203125}, {"start": 143.33, "end": 143.63, "word": " low", "probability": 0.91796875}, {"start": 143.63, "end": 143.99, "word": " power", "probability": 0.89013671875}, {"start": 143.99, "end": 144.23, "word": " of", "probability": 0.9765625}, {"start": 144.23, "end": 144.67, "word": " thalamic", "probability": 0.81787109375}, {"start": 144.67, "end": 145.07, "word": " prisms", "probability": 0.5052490234375}, {"start": 145.07, "end": 146.05, "word": " أحياناً", "probability": 0.7474568684895834}, {"start": 146.05, "end": 146.31, "word": " كتير", "probability": 0.9459635416666666}, {"start": 146.31, "end": 146.61, "word": " بتكون", "probability": 0.91357421875}, {"start": 146.61, "end": 146.77, "word": " مش", "probability": 0.99462890625}, {"start": 146.77, "end": 147.25, "word": " مزعجة", "probability": 0.9822265625}, {"start": 147.25, "end": 147.45, "word": " بس", "probability": 0.889404296875}, {"start": 147.45, "end": 147.61, "word": " في", "probability": 0.82080078125}, {"start": 147.61, "end": 147.87, "word": " بعض", "probability": 0.99169921875}, {"start": 147.87, "end": 148.35, "word": " الأحيان", "probability": 0.992919921875}, {"start": 148.35, "end": 148.65, "word": " بعض", "probability": 0.9677734375}, {"start": 148.65, "end": 149.07, "word": " المرضى", "probability": 0.9599609375}, {"start": 149.07, "end": 149.77, "word": " مابيقدرش", "probability": 0.913818359375}, {"start": 149.77, "end": 150.99, "word": " يتحملها", "probability": 0.984765625}, {"start": 150.99, "end": 151.69, "word": " فبالتالي", "probability": 0.922607421875}, {"start": 151.69, "end": 152.05, "word": " بده", "probability": 0.63232421875}, {"start": 152.05, "end": 152.33, "word": " حل", "probability": 0.821044921875}, {"start": 152.33, "end": 152.83, "word": " آخر", "probability": 0.944091796875}, {"start": 152.83, "end": 154.45, "word": " على", "probability": 0.62548828125}, {"start": 154.45, "end": 154.93, "word": " سبيل", "probability": 0.99267578125}, {"start": 154.93, "end": 155.35, "word": " المثال", "probability": 0.9827473958333334}, {"start": 155.35, "end": 155.71, "word": " مثلا", "probability": 0.941650390625}, {"start": 155.71, "end": 156.23, "word": " تخفيف", "probability": 0.972412109375}, {"start": 156.23, "end": 156.61, "word": " قوة", "probability": 0.8375651041666666}, {"start": 156.61, "end": 157.67, "word": " liprism،", "probability": 0.595306396484375}, {"start": 157.67, "end": 158.15, "word": " استعمال", "probability": 0.9617513020833334}, {"start": 158.15, "end": 158.55, "word": " liprism", "probability": 0.8740234375}, {"start": 158.55, "end": 158.95, "word": " أمام", "probability": 0.9689127604166666}, {"start": 158.95, "end": 159.65, "word": " العندين", "probability": 0.735595703125}, {"start": 159.65, "end": 160.19, "word": " أو", "probability": 0.75341796875}, {"start": 160.19, "end": 160.67, "word": " إيجاد", "probability": 0.9725341796875}, {"start": 160.67, "end": 160.97, "word": " حل", "probability": 0.9697265625}, {"start": 160.97, "end": 161.37, "word": " آخر", "probability": 0.988525390625}, {"start": 161.37, "end": 161.81, "word": " غير", "probability": 0.99072265625}, {"start": 161.81, "end": 163.05, "word": " liprism،", "probability": 0.80224609375}, {"start": 163.05, "end": 163.33, "word": " غير", "probability": 0.97802734375}, {"start": 163.33, "end": 163.93, "word": " liprism", "probability": 0.8792317708333334}], "temperature": 1.0}, {"id": 8, "seek": 18658, "start": 164.26, "end": 186.58, "text": "نيجي لموضوع اليوم اللي هو ال Fresnel Prism نيجي لموضوع اليوم اللي هو ال Fresnel Prism نيجي لموضوع اليوم اللي هو ال Fresnel Prism طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S silent طبعا ال S", "tokens": [1863, 1829, 7435, 1829, 5296, 2304, 2407, 11242, 45367, 45595, 20498, 13672, 1829, 31439, 2423, 42618, 6396, 2114, 1434, 8717, 1829, 7435, 1829, 5296, 2304, 2407, 11242, 45367, 45595, 20498, 13672, 1829, 31439, 2423, 42618, 6396, 2114, 1434, 8717, 1829, 7435, 1829, 5296, 2304, 2407, 11242, 45367, 45595, 20498, 13672, 1829, 31439, 2423, 42618, 6396, 2114, 1434, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318, 12784, 23032, 3555, 3615, 995, 2423, 318], "avg_logprob": -0.09972222010294596, "compression_ratio": 8.065217391304348, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 164.26, "end": 164.76, "word": "نيجي", "probability": 0.68975830078125}, {"start": 164.76, "end": 166.4, "word": " لموضوع", "probability": 0.8841796875}, {"start": 166.4, "end": 166.82, "word": " اليوم", "probability": 0.97119140625}, {"start": 166.82, "end": 167.0, "word": " اللي", "probability": 0.894775390625}, {"start": 167.0, "end": 167.2, "word": " هو", "probability": 0.98046875}, {"start": 167.2, "end": 167.4, "word": " ال", "probability": 0.71435546875}, {"start": 167.4, "end": 167.82, "word": " Fresnel", "probability": 0.6771240234375}, {"start": 167.82, "end": 168.02, "word": " Prism", "probability": 0.800537109375}, {"start": 168.02, "end": 168.02, "word": " نيجي", "probability": 0.715423583984375}, {"start": 168.02, "end": 168.02, "word": " لموضوع", "probability": 0.96484375}, {"start": 168.02, "end": 168.02, "word": " اليوم", "probability": 0.98095703125}, {"start": 168.02, "end": 168.02, "word": " اللي", "probability": 0.9931640625}, {"start": 168.02, "end": 168.02, "word": " هو", "probability": 0.9892578125}, {"start": 168.02, "end": 168.02, "word": " ال", "probability": 0.82421875}, {"start": 168.02, "end": 168.02, "word": " Fresnel", "probability": 0.944091796875}, {"start": 168.02, "end": 168.36, "word": " Prism", "probability": 0.990234375}, {"start": 168.36, "end": 168.44, "word": " نيجي", "probability": 0.7923583984375}, {"start": 168.44, "end": 168.44, "word": " لموضوع", "probability": 0.98505859375}, {"start": 168.44, "end": 168.44, "word": " اليوم", "probability": 0.9931640625}, {"start": 168.44, "end": 168.44, "word": " اللي", "probability": 0.9931640625}, {"start": 168.44, "end": 168.44, "word": " هو", "probability": 0.9892578125}, {"start": 168.44, "end": 168.44, "word": " ال", "probability": 0.94384765625}, {"start": 168.44, "end": 168.44, "word": " Fresnel", "probability": 0.94921875}, {"start": 168.44, "end": 168.44, "word": " Prism", "probability": 0.991455078125}, {"start": 168.44, "end": 169.16, "word": " طبعا", "probability": 0.9600830078125}, {"start": 169.16, "end": 169.34, "word": " ال", "probability": 0.91162109375}, {"start": 169.34, "end": 169.66, "word": " S", "probability": 0.492431640625}, {"start": 169.66, "end": 170.4, "word": " silent", "probability": 0.888671875}, {"start": 170.4, "end": 171.42, "word": " طبعا", "probability": 0.803466796875}, {"start": 171.42, "end": 171.42, "word": " ال", "probability": 0.98779296875}, {"start": 171.42, "end": 171.42, "word": " S", "probability": 0.99560546875}, {"start": 171.42, "end": 171.42, "word": " silent", "probability": 0.9716796875}, {"start": 171.42, "end": 171.42, "word": " طبعا", "probability": 0.844970703125}, {"start": 171.42, "end": 171.42, "word": " ال", "probability": 0.98974609375}, {"start": 171.42, "end": 171.66, "word": " S", "probability": 0.998046875}, {"start": 171.66, "end": 172.08, "word": " silent", "probability": 0.9580078125}, {"start": 172.08, "end": 172.92, "word": " طبعا", "probability": 0.8408203125}, {"start": 172.92, "end": 173.0, "word": " ال", "probability": 0.98681640625}, {"start": 173.0, "end": 173.82, "word": " S", "probability": 0.99755859375}, {"start": 173.82, "end": 173.84, "word": " silent", "probability": 0.9541015625}, {"start": 173.84, "end": 180.54, "word": " طبعا", "probability": 0.8839111328125}, {"start": 180.54, "end": 180.64, "word": " ال", "probability": 0.98486328125}, {"start": 180.64, "end": 180.76, "word": " S", "probability": 0.9970703125}, {"start": 180.76, "end": 181.38, "word": " silent", "probability": 0.95556640625}, {"start": 181.38, "end": 182.24, "word": " طبعا", "probability": 0.9031982421875}, {"start": 182.24, "end": 182.4, "word": " ال", "probability": 0.9814453125}, {"start": 182.4, "end": 182.62, "word": " S", "probability": 0.99560546875}, {"start": 182.62, "end": 182.72, "word": " silent", "probability": 0.9560546875}, {"start": 182.72, "end": 182.86, "word": " طبعا", "probability": 0.9114990234375}, {"start": 182.86, "end": 182.86, "word": " ال", "probability": 0.978515625}, {"start": 182.86, "end": 182.86, "word": " S", "probability": 0.99462890625}, {"start": 182.86, "end": 182.86, "word": " silent", "probability": 0.95703125}, {"start": 182.86, "end": 183.02, "word": " طبعا", "probability": 0.916015625}, {"start": 183.02, "end": 183.02, "word": " ال", "probability": 0.9765625}, {"start": 183.02, "end": 183.02, "word": " S", "probability": 0.99365234375}, {"start": 183.02, "end": 183.02, "word": " silent", "probability": 0.95849609375}, {"start": 183.02, "end": 183.04, "word": " طبعا", "probability": 0.920654296875}, {"start": 183.04, "end": 183.04, "word": " ال", "probability": 0.9736328125}, {"start": 183.04, "end": 183.28, "word": " S", "probability": 0.9931640625}, {"start": 183.28, "end": 183.28, "word": " silent", "probability": 0.958984375}, {"start": 183.28, "end": 183.28, "word": " طبعا", "probability": 0.9267578125}, {"start": 183.28, "end": 183.28, "word": " ال", "probability": 0.97216796875}, {"start": 183.28, "end": 183.28, "word": " S", "probability": 0.9931640625}, {"start": 183.28, "end": 183.28, "word": " silent", "probability": 0.95947265625}, {"start": 183.28, "end": 183.28, "word": " طبعا", "probability": 0.9324951171875}, {"start": 183.28, "end": 183.28, "word": " ال", "probability": 0.96923828125}, {"start": 183.28, "end": 183.28, "word": " S", "probability": 0.9931640625}, {"start": 183.28, "end": 183.28, "word": " silent", "probability": 0.95947265625}, {"start": 183.28, "end": 183.28, "word": " طبعا", "probability": 0.9365234375}, {"start": 183.28, "end": 183.28, "word": " ال", "probability": 0.96630859375}, {"start": 183.28, "end": 183.28, "word": " S", "probability": 0.99365234375}, {"start": 183.28, "end": 183.28, "word": " silent", "probability": 0.9599609375}, {"start": 183.28, "end": 183.28, "word": " طبعا", "probability": 0.94189453125}, {"start": 183.28, "end": 183.28, "word": " ال", "probability": 0.9619140625}, {"start": 183.28, "end": 183.28, "word": " S", "probability": 0.99365234375}, {"start": 183.28, "end": 183.28, "word": " silent", "probability": 0.9599609375}, {"start": 183.28, "end": 183.28, "word": " طبعا", "probability": 0.94580078125}, {"start": 183.28, "end": 183.28, "word": " ال", "probability": 0.955078125}, {"start": 183.28, "end": 183.28, "word": " S", "probability": 0.9931640625}, {"start": 183.28, "end": 183.28, "word": " silent", "probability": 0.958984375}, {"start": 183.28, "end": 183.28, "word": " طبعا", "probability": 0.9471435546875}, {"start": 183.28, "end": 183.28, "word": " ال", "probability": 0.94970703125}, {"start": 183.28, "end": 183.28, "word": " S", "probability": 0.9931640625}, {"start": 183.28, "end": 183.28, "word": " silent", "probability": 0.95849609375}, {"start": 183.28, "end": 183.28, "word": " طبعا", "probability": 0.9486083984375}, {"start": 183.28, "end": 183.28, "word": " ال", "probability": 0.94384765625}, {"start": 183.28, "end": 183.28, "word": " S", "probability": 0.9931640625}, {"start": 183.28, "end": 183.28, "word": " silent", "probability": 0.95849609375}, {"start": 183.28, "end": 183.28, "word": " طبعا", "probability": 0.95068359375}, {"start": 183.28, "end": 183.28, "word": " ال", "probability": 0.93701171875}, {"start": 183.28, "end": 183.28, "word": " S", "probability": 0.99267578125}, {"start": 183.28, "end": 183.28, "word": " silent", "probability": 0.95703125}, {"start": 183.28, "end": 183.28, "word": " طبعا", "probability": 0.9527587890625}, {"start": 183.28, "end": 183.28, "word": " ال", "probability": 0.92578125}, {"start": 183.28, "end": 183.28, "word": " S", "probability": 0.99267578125}, {"start": 183.28, "end": 183.28, "word": " silent", "probability": 0.95654296875}, {"start": 183.28, "end": 183.28, "word": " طبعا", "probability": 0.953369140625}, {"start": 183.28, "end": 183.28, "word": " ال", "probability": 0.91455078125}, {"start": 183.28, "end": 183.28, "word": " S", "probability": 0.9931640625}, {"start": 183.28, "end": 183.28, "word": " silent", "probability": 0.95654296875}, {"start": 183.28, "end": 183.28, "word": " طبعا", "probability": 0.9539794921875}, {"start": 183.28, "end": 183.28, "word": " ال", "probability": 0.904296875}, {"start": 183.28, "end": 183.28, "word": " S", "probability": 0.9931640625}, {"start": 183.28, "end": 183.28, "word": " silent", "probability": 0.955078125}, {"start": 183.28, "end": 183.28, "word": " طبعا", "probability": 0.9547119140625}, {"start": 183.28, "end": 183.28, "word": " ال", "probability": 0.892578125}, {"start": 183.28, "end": 183.28, "word": " S", "probability": 0.99365234375}, {"start": 183.28, "end": 183.38, "word": " silent", "probability": 0.955078125}, {"start": 183.38, "end": 183.38, "word": " طبعا", "probability": 0.955322265625}, {"start": 183.38, "end": 183.38, "word": " ال", "probability": 0.8642578125}, {"start": 183.38, "end": 183.38, "word": " S", "probability": 0.99365234375}, {"start": 183.38, "end": 183.38, "word": " silent", "probability": 0.955078125}, {"start": 183.38, "end": 183.38, "word": " طبعا", "probability": 0.955810546875}, {"start": 183.38, "end": 183.38, "word": " ال", "probability": 0.84033203125}, {"start": 183.38, "end": 183.38, "word": " S", "probability": 0.99365234375}, {"start": 183.38, "end": 185.28, "word": " silent", "probability": 0.95654296875}, {"start": 185.28, "end": 186.3, "word": " طبعا", "probability": 0.9576416015625}, {"start": 186.3, "end": 186.52, "word": " ال", "probability": 0.81201171875}, {"start": 186.52, "end": 186.58, "word": " S", "probability": 0.99267578125}], "temperature": 1.0}, {"id": 9, "seek": 22110, "start": 194.08, "end": 221.1, "text": "and connected side by side it works like a single large prism let's see this issue in the clear drawing let's see this issue in the clear drawing here I have a single large prism large prism its base height is 10 millimeters its thickness is 10 millimeters and its length", "tokens": [474, 4582, 1252, 538, 1252, 309, 1985, 411, 257, 2167, 2416, 582, 1434, 718, 311, 536, 341, 2734, 294, 264, 1850, 6316, 718, 311, 536, 341, 2734, 294, 264, 1850, 6316, 510, 286, 362, 257, 2167, 2416, 582, 1434, 2416, 582, 1434, 1080, 3096, 6681, 307, 1266, 24388, 1080, 14855, 307, 1266, 24388, 293, 1080, 4641], "avg_logprob": -0.43695174183761865, "compression_ratio": 1.9219858156028369, "no_speech_prob": 3.933906555175781e-06, "words": [{"start": 194.08, "end": 194.58, "word": "and", "probability": 0.50732421875}, {"start": 194.58, "end": 195.18, "word": " connected", "probability": 0.1365966796875}, {"start": 195.18, "end": 196.42, "word": " side", "probability": 0.81884765625}, {"start": 196.42, "end": 196.68, "word": " by", "probability": 0.9169921875}, {"start": 196.68, "end": 197.2, "word": " side", "probability": 0.89111328125}, {"start": 197.2, "end": 197.94, "word": " it", "probability": 0.296875}, {"start": 197.94, "end": 198.26, "word": " works", "probability": 0.6923828125}, {"start": 198.26, "end": 198.52, "word": " like", "probability": 0.52392578125}, {"start": 198.52, "end": 198.88, "word": " a", "probability": 0.6875}, {"start": 198.88, "end": 199.32, "word": " single", "probability": 0.89306640625}, {"start": 199.32, "end": 200.08, "word": " large", "probability": 0.8916015625}, {"start": 200.08, "end": 200.54, "word": " prism", "probability": 0.929931640625}, {"start": 200.54, "end": 200.74, "word": " let's", "probability": 0.6234130859375}, {"start": 200.74, "end": 200.98, "word": " see", "probability": 0.7138671875}, {"start": 200.98, "end": 201.3, "word": " this", "probability": 0.802734375}, {"start": 201.3, "end": 201.78, "word": " issue", "probability": 0.286865234375}, {"start": 201.78, "end": 202.72, "word": " in", "probability": 0.4443359375}, {"start": 202.72, "end": 202.78, "word": " the", "probability": 0.38232421875}, {"start": 202.78, "end": 203.62, "word": " clear", "probability": 0.2218017578125}, {"start": 203.62, "end": 203.72, "word": " drawing", "probability": 0.3779296875}, {"start": 203.72, "end": 203.92, "word": " let's", "probability": 0.822265625}, {"start": 203.92, "end": 204.08, "word": " see", "probability": 0.89599609375}, {"start": 204.08, "end": 204.36, "word": " this", "probability": 0.916015625}, {"start": 204.36, "end": 204.72, "word": " issue", "probability": 0.94677734375}, {"start": 204.72, "end": 204.92, "word": " in", "probability": 0.857421875}, {"start": 204.92, "end": 205.3, "word": " the", "probability": 0.80615234375}, {"start": 205.3, "end": 205.94, "word": " clear", "probability": 0.81982421875}, {"start": 205.94, "end": 206.1, "word": " drawing", "probability": 0.82861328125}, {"start": 206.1, "end": 206.9, "word": " here", "probability": 0.393798828125}, {"start": 206.9, "end": 207.06, "word": " I", "probability": 0.8818359375}, {"start": 207.06, "end": 207.2, "word": " have", "probability": 0.9287109375}, {"start": 207.2, "end": 207.54, "word": " a", "probability": 0.86181640625}, {"start": 207.54, "end": 208.04, "word": " single", "probability": 0.9404296875}, {"start": 208.04, "end": 208.92, "word": " large", "probability": 0.93212890625}, {"start": 208.92, "end": 210.16, "word": " prism", "probability": 0.920654296875}, {"start": 210.16, "end": 211.18, "word": " large", "probability": 0.59814453125}, {"start": 211.18, "end": 211.64, "word": " prism", "probability": 0.923828125}, {"start": 211.64, "end": 214.74, "word": " its", "probability": 0.2763671875}, {"start": 214.74, "end": 215.1, "word": " base", "probability": 0.93408203125}, {"start": 215.1, "end": 215.9, "word": " height", "probability": 0.331298828125}, {"start": 215.9, "end": 216.14, "word": " is", "probability": 0.9150390625}, {"start": 216.14, "end": 216.44, "word": " 10", "probability": 0.65966796875}, {"start": 216.44, "end": 217.06, "word": " millimeters", "probability": 0.44775390625}, {"start": 217.06, "end": 217.46, "word": " its", "probability": 0.580078125}, {"start": 217.46, "end": 217.96, "word": " thickness", "probability": 0.83056640625}, {"start": 217.96, "end": 219.5, "word": " is", "probability": 0.3056640625}, {"start": 219.5, "end": 219.76, "word": " 10", "probability": 0.8115234375}, {"start": 219.76, "end": 220.4, "word": " millimeters", "probability": 0.88525390625}, {"start": 220.4, "end": 220.66, "word": " and", "probability": 0.71923828125}, {"start": 220.66, "end": 220.86, "word": " its", "probability": 0.4267578125}, {"start": 220.86, "end": 221.1, "word": " length", "probability": 0.73095703125}], "temperature": 1.0}, {"id": 10, "seek": 24289, "start": 222.85, "end": 242.89, "text": "and the length is 40 millimeters 40 millimeters this is the apex angle its apex angle has a certain value let's say 20 degrees let's say 20 degrees okay now the apex angle is 20 degrees for example if we bring small prisms", "tokens": [474, 264, 4641, 307, 3356, 24388, 3356, 24388, 341, 307, 264, 48115, 5802, 1080, 48115, 5802, 575, 257, 1629, 2158, 718, 311, 584, 945, 5310, 718, 311, 584, 945, 5310, 1392, 586, 264, 48115, 5802, 307, 945, 5310, 337, 1365, 498, 321, 1565, 1359, 582, 13539], "avg_logprob": -0.39029256587332867, "compression_ratio": 1.7903225806451613, "no_speech_prob": 2.47955322265625e-05, "words": [{"start": 222.85, "end": 223.07, "word": "and", "probability": 0.3701171875}, {"start": 223.07, "end": 223.17, "word": " the", "probability": 0.315185546875}, {"start": 223.17, "end": 223.31, "word": " length", "probability": 0.70947265625}, {"start": 223.31, "end": 223.39, "word": " is", "probability": 0.59228515625}, {"start": 223.39, "end": 224.11, "word": " 40", "probability": 0.8779296875}, {"start": 224.11, "end": 224.85, "word": " millimeters", "probability": 0.245361328125}, {"start": 224.85, "end": 225.41, "word": " 40", "probability": 0.314697265625}, {"start": 225.41, "end": 226.15, "word": " millimeters", "probability": 0.861328125}, {"start": 226.15, "end": 227.17, "word": " this", "probability": 0.43408203125}, {"start": 227.17, "end": 227.25, "word": " is", "probability": 0.94775390625}, {"start": 227.25, "end": 227.33, "word": " the", "probability": 0.7275390625}, {"start": 227.33, "end": 227.63, "word": " apex", "probability": 0.8896484375}, {"start": 227.63, "end": 228.13, "word": " angle", "probability": 0.884765625}, {"start": 228.13, "end": 228.59, "word": " its", "probability": 0.1842041015625}, {"start": 228.59, "end": 228.89, "word": " apex", "probability": 0.8212890625}, {"start": 228.89, "end": 229.45, "word": " angle", "probability": 0.90283203125}, {"start": 229.45, "end": 230.41, "word": " has", "probability": 0.8466796875}, {"start": 230.41, "end": 230.59, "word": " a", "probability": 0.9296875}, {"start": 230.59, "end": 231.27, "word": " certain", "probability": 0.6083984375}, {"start": 231.27, "end": 231.27, "word": " value", "probability": 0.94970703125}, {"start": 231.27, "end": 232.19, "word": " let's", "probability": 0.6614990234375}, {"start": 232.19, "end": 232.39, "word": " say", "probability": 0.5205078125}, {"start": 232.39, "end": 232.85, "word": " 20", "probability": 0.70263671875}, {"start": 232.85, "end": 233.29, "word": " degrees", "probability": 0.8349609375}, {"start": 233.29, "end": 233.77, "word": " let's", "probability": 0.8017578125}, {"start": 233.77, "end": 234.07, "word": " say", "probability": 0.79345703125}, {"start": 234.07, "end": 234.55, "word": " 20", "probability": 0.91845703125}, {"start": 234.55, "end": 234.95, "word": " degrees", "probability": 0.91552734375}, {"start": 234.95, "end": 235.27, "word": " okay", "probability": 0.40771484375}, {"start": 235.27, "end": 236.13, "word": " now", "probability": 0.72900390625}, {"start": 236.13, "end": 236.39, "word": " the", "probability": 0.76904296875}, {"start": 236.39, "end": 236.73, "word": " apex", "probability": 0.8623046875}, {"start": 236.73, "end": 237.17, "word": " angle", "probability": 0.87939453125}, {"start": 237.17, "end": 237.29, "word": " is", "probability": 0.51025390625}, {"start": 237.29, "end": 237.65, "word": " 20", "probability": 0.83447265625}, {"start": 237.65, "end": 238.13, "word": " degrees", "probability": 0.9033203125}, {"start": 238.13, "end": 239.61, "word": " for", "probability": 0.775390625}, {"start": 239.61, "end": 239.85, "word": " example", "probability": 0.95947265625}, {"start": 239.85, "end": 241.63, "word": " if", "probability": 0.740234375}, {"start": 241.63, "end": 242.09, "word": " we", "probability": 0.94189453125}, {"start": 242.09, "end": 242.09, "word": " bring", "probability": 0.461669921875}, {"start": 242.09, "end": 242.51, "word": " small", "probability": 0.81298828125}, {"start": 242.51, "end": 242.89, "word": " prisms", "probability": 0.676513671875}], "temperature": 1.0}, {"id": 11, "seek": 26742, "start": 244.6, "end": 267.42, "text": "this is a prism and this is also a prism and this is also a prism the first prism is its apex which indicates it the second prism is its apex which is the same direction of the apex and the same direction of the base if we compare them to the large prism here the base is on the right and the apex is on the left here the same thing the base is on the right and the apex is on the left the base is on the right and the apex is on the left and so on", "tokens": [11176, 307, 257, 582, 1434, 293, 341, 307, 611, 257, 582, 1434, 293, 341, 307, 611, 257, 582, 1434, 264, 700, 582, 1434, 307, 1080, 48115, 597, 16203, 309, 264, 1150, 582, 1434, 307, 1080, 48115, 597, 307, 264, 912, 3513, 295, 264, 48115, 293, 264, 912, 3513, 295, 264, 3096, 498, 321, 6794, 552, 281, 264, 2416, 582, 1434, 510, 264, 3096, 307, 322, 264, 558, 293, 264, 48115, 307, 322, 264, 1411, 510, 264, 912, 551, 264, 3096, 307, 322, 264, 558, 293, 264, 48115, 307, 322, 264, 1411, 264, 3096, 307, 322, 264, 558, 293, 264, 48115, 307, 322, 264, 1411, 293, 370, 322], "avg_logprob": -0.3362268410899021, "compression_ratio": 2.871794871794872, "no_speech_prob": 0.0001227855682373047, "words": [{"start": 244.6, "end": 244.88, "word": "this", "probability": 0.3984375}, {"start": 244.88, "end": 244.96, "word": " is", "probability": 0.84619140625}, {"start": 244.96, "end": 245.0, "word": " a", "probability": 0.404052734375}, {"start": 245.0, "end": 245.26, "word": " prism", "probability": 0.822265625}, {"start": 245.26, "end": 246.24, "word": " and", "probability": 0.3857421875}, {"start": 246.24, "end": 246.4, "word": " this", "probability": 0.74365234375}, {"start": 246.4, "end": 246.48, "word": " is", "probability": 0.7626953125}, {"start": 246.48, "end": 246.66, "word": " also", "probability": 0.34814453125}, {"start": 246.66, "end": 246.78, "word": " a", "probability": 0.947265625}, {"start": 246.78, "end": 247.12, "word": " prism", "probability": 0.915771484375}, {"start": 247.12, "end": 247.48, "word": " and", "probability": 0.580078125}, {"start": 247.48, "end": 247.66, "word": " this", "probability": 0.81103515625}, {"start": 247.66, "end": 247.8, "word": " is", "probability": 0.81103515625}, {"start": 247.8, "end": 248.04, "word": " also", "probability": 0.8662109375}, {"start": 248.04, "end": 248.14, "word": " a", "probability": 0.97265625}, {"start": 248.14, "end": 248.42, "word": " prism", "probability": 0.91845703125}, {"start": 248.42, "end": 248.88, "word": " the", "probability": 0.482666015625}, {"start": 248.88, "end": 248.9, "word": " first", "probability": 0.86474609375}, {"start": 248.9, "end": 249.26, "word": " prism", "probability": 0.936279296875}, {"start": 249.26, "end": 249.76, "word": " is", "probability": 0.787109375}, {"start": 249.76, "end": 249.88, "word": " its", "probability": 0.287841796875}, {"start": 249.88, "end": 250.14, "word": " apex", "probability": 0.87890625}, {"start": 250.14, "end": 250.78, "word": " which", "probability": 0.33203125}, {"start": 250.78, "end": 251.1, "word": " indicates", "probability": 0.44970703125}, {"start": 251.1, "end": 251.46, "word": " it", "probability": 0.272705078125}, {"start": 251.46, "end": 251.98, "word": " the", "probability": 0.42529296875}, {"start": 251.98, "end": 251.98, "word": " second", "probability": 0.84619140625}, {"start": 251.98, "end": 252.34, "word": " prism", "probability": 0.940185546875}, {"start": 252.34, "end": 252.82, "word": " is", "probability": 0.92578125}, {"start": 252.82, "end": 252.92, "word": " its", "probability": 0.83984375}, {"start": 252.92, "end": 253.36, "word": " apex", "probability": 0.87060546875}, {"start": 253.36, "end": 253.74, "word": " which", "probability": 0.42822265625}, {"start": 253.74, "end": 253.74, "word": " is", "probability": 0.298095703125}, {"start": 253.74, "end": 253.9, "word": " the", "probability": 0.47900390625}, {"start": 253.9, "end": 254.06, "word": " same", "probability": 0.8876953125}, {"start": 254.06, "end": 254.48, "word": " direction", "probability": 0.48291015625}, {"start": 254.48, "end": 254.62, "word": " of", "probability": 0.356689453125}, {"start": 254.62, "end": 254.68, "word": " the", "probability": 0.669921875}, {"start": 254.68, "end": 254.88, "word": " apex", "probability": 0.76220703125}, {"start": 254.88, "end": 255.12, "word": " and", "probability": 0.8271484375}, {"start": 255.12, "end": 255.34, "word": " the", "probability": 0.4365234375}, {"start": 255.34, "end": 255.34, "word": " same", "probability": 0.86572265625}, {"start": 255.34, "end": 255.7, "word": " direction", "probability": 0.892578125}, {"start": 255.7, "end": 255.9, "word": " of", "probability": 0.9267578125}, {"start": 255.9, "end": 256.0, "word": " the", "probability": 0.90087890625}, {"start": 256.0, "end": 256.24, "word": " base", "probability": 0.919921875}, {"start": 256.24, "end": 256.78, "word": " if", "probability": 0.56201171875}, {"start": 256.78, "end": 257.54, "word": " we", "probability": 0.81201171875}, {"start": 257.54, "end": 257.96, "word": " compare", "probability": 0.8017578125}, {"start": 257.96, "end": 258.28, "word": " them", "probability": 0.78125}, {"start": 258.28, "end": 258.8, "word": " to", "probability": 0.2115478515625}, {"start": 258.8, "end": 259.72, "word": " the", "probability": 0.7763671875}, {"start": 259.72, "end": 260.04, "word": " large", "probability": 0.90185546875}, {"start": 260.04, "end": 260.42, "word": " prism", "probability": 0.92724609375}, {"start": 260.42, "end": 260.6, "word": " here", "probability": 0.372314453125}, {"start": 260.6, "end": 260.74, "word": " the", "probability": 0.59619140625}, {"start": 260.74, "end": 260.94, "word": " base", "probability": 0.89404296875}, {"start": 260.94, "end": 261.02, "word": " is", "probability": 0.80908203125}, {"start": 261.02, "end": 261.12, "word": " on", "probability": 0.61376953125}, {"start": 261.12, "end": 261.24, "word": " the", "probability": 0.90380859375}, {"start": 261.24, "end": 261.38, "word": " right", "probability": 0.8876953125}, {"start": 261.38, "end": 261.62, "word": " and", "probability": 0.884765625}, {"start": 261.62, "end": 261.74, "word": " the", "probability": 0.853515625}, {"start": 261.74, "end": 261.92, "word": " apex", "probability": 0.90625}, {"start": 261.92, "end": 262.1, "word": " is", "probability": 0.56689453125}, {"start": 262.1, "end": 262.16, "word": " on", "probability": 0.90234375}, {"start": 262.16, "end": 262.32, "word": " the", "probability": 0.91845703125}, {"start": 262.32, "end": 262.48, "word": " left", "probability": 0.95556640625}, {"start": 262.48, "end": 262.7, "word": " here", "probability": 0.64111328125}, {"start": 262.7, "end": 262.86, "word": " the", "probability": 0.381591796875}, {"start": 262.86, "end": 262.96, "word": " same", "probability": 0.8935546875}, {"start": 262.96, "end": 263.24, "word": " thing", "probability": 0.880859375}, {"start": 263.24, "end": 263.36, "word": " the", "probability": 0.364501953125}, {"start": 263.36, "end": 263.58, "word": " base", "probability": 0.89794921875}, {"start": 263.58, "end": 263.68, "word": " is", "probability": 0.736328125}, {"start": 263.68, "end": 263.74, "word": " on", "probability": 0.89111328125}, {"start": 263.74, "end": 263.86, "word": " the", "probability": 0.91357421875}, {"start": 263.86, "end": 263.96, "word": " right", "probability": 0.89501953125}, {"start": 263.96, "end": 264.14, "word": " and", "probability": 0.92578125}, {"start": 264.14, "end": 264.24, "word": " the", "probability": 0.88427734375}, {"start": 264.24, "end": 264.46, "word": " apex", "probability": 0.90234375}, {"start": 264.46, "end": 264.64, "word": " is", "probability": 0.6748046875}, {"start": 264.64, "end": 264.72, "word": " on", "probability": 0.92431640625}, {"start": 264.72, "end": 264.86, "word": " the", "probability": 0.91796875}, {"start": 264.86, "end": 265.02, "word": " left", "probability": 0.9501953125}, {"start": 265.02, "end": 265.2, "word": " the", "probability": 0.48779296875}, {"start": 265.2, "end": 265.44, "word": " base", "probability": 0.8955078125}, {"start": 265.44, "end": 265.54, "word": " is", "probability": 0.80810546875}, {"start": 265.54, "end": 265.6, "word": " on", "probability": 0.91650390625}, {"start": 265.6, "end": 265.7, "word": " the", "probability": 0.9169921875}, {"start": 265.7, "end": 265.86, "word": " right", "probability": 0.89599609375}, {"start": 265.86, "end": 266.02, "word": " and", "probability": 0.93798828125}, {"start": 266.02, "end": 266.1, "word": " the", "probability": 0.9111328125}, {"start": 266.1, "end": 266.24, "word": " apex", "probability": 0.9091796875}, {"start": 266.24, "end": 266.44, "word": " is", "probability": 0.78857421875}, {"start": 266.44, "end": 266.46, "word": " on", "probability": 0.9345703125}, {"start": 266.46, "end": 266.58, "word": " the", "probability": 0.91943359375}, {"start": 266.58, "end": 266.68, "word": " left", "probability": 0.95068359375}, {"start": 266.68, "end": 266.84, "word": " and", "probability": 0.75830078125}, {"start": 266.84, "end": 267.06, "word": " so", "probability": 0.91259765625}, {"start": 267.06, "end": 267.42, "word": " on", "probability": 0.92041015625}], "temperature": 1.0}, {"id": 12, "seek": 28783, "start": 270.26, "end": 287.84, "text": "the apical angle of each prism here this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and this is 20 degrees and", "tokens": [3322, 1882, 804, 5802, 295, 1184, 582, 1434, 510, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293, 341, 307, 945, 5310, 293], "avg_logprob": -0.12486111323038737, "compression_ratio": 14.628571428571428, "no_speech_prob": 5.1975250244140625e-05, "words": [{"start": 270.26, "end": 270.78, "word": "the", "probability": 0.30810546875}, {"start": 270.78, "end": 271.28, "word": " apical", "probability": 0.76123046875}, {"start": 271.28, "end": 271.72, "word": " angle", "probability": 0.86767578125}, {"start": 271.72, "end": 271.98, "word": " of", "probability": 0.494140625}, {"start": 271.98, "end": 272.26, "word": " each", "probability": 0.49072265625}, {"start": 272.26, "end": 272.62, "word": " prism", "probability": 0.810791015625}, {"start": 272.62, "end": 273.04, "word": " here", "probability": 0.58447265625}, {"start": 273.04, "end": 273.82, "word": " this", "probability": 0.2086181640625}, {"start": 273.82, "end": 273.84, "word": " is", "probability": 0.412109375}, {"start": 273.84, "end": 274.22, "word": " 20", "probability": 0.5947265625}, {"start": 274.22, "end": 274.52, "word": " degrees", "probability": 0.548828125}, {"start": 274.52, "end": 274.66, "word": " and", "probability": 0.46923828125}, {"start": 274.66, "end": 274.82, "word": " this", "probability": 0.7578125}, {"start": 274.82, "end": 274.86, "word": " is", "probability": 0.880859375}, {"start": 274.86, "end": 275.2, "word": " 20", "probability": 0.83984375}, {"start": 275.2, "end": 275.46, "word": " degrees", "probability": 0.91064453125}, {"start": 275.46, "end": 275.6, "word": " and", "probability": 0.7294921875}, {"start": 275.6, "end": 275.74, "word": " this", "probability": 0.89990234375}, {"start": 275.74, "end": 275.8, "word": " is", "probability": 0.92919921875}, {"start": 275.8, "end": 276.12, "word": " 20", "probability": 0.95556640625}, {"start": 276.12, "end": 276.42, "word": " degrees", "probability": 0.93212890625}, {"start": 276.42, "end": 276.58, "word": " and", "probability": 0.83056640625}, {"start": 276.58, "end": 276.74, "word": " this", "probability": 0.92822265625}, {"start": 276.74, "end": 276.74, "word": " is", "probability": 0.951171875}, {"start": 276.74, "end": 277.06, "word": " 20", "probability": 0.96728515625}, {"start": 277.06, "end": 277.32, "word": " degrees", "probability": 0.93115234375}, {"start": 277.32, "end": 277.42, "word": " and", "probability": 0.68896484375}, {"start": 277.42, "end": 277.56, "word": " this", "probability": 0.9052734375}, {"start": 277.56, "end": 277.56, "word": " is", "probability": 0.94775390625}, {"start": 277.56, "end": 277.84, "word": " 20", "probability": 0.96923828125}, {"start": 277.84, "end": 278.2, "word": " degrees", "probability": 0.92724609375}, {"start": 278.2, "end": 278.3, "word": " and", "probability": 0.19287109375}, {"start": 278.3, "end": 278.94, "word": " this", "probability": 0.6142578125}, {"start": 278.94, "end": 278.94, "word": " is", "probability": 0.93017578125}, {"start": 278.94, "end": 279.28, "word": " 20", "probability": 0.9609375}, {"start": 279.28, "end": 279.28, "word": " degrees", "probability": 0.92578125}, {"start": 279.28, "end": 279.28, "word": " and", "probability": 0.282470703125}, {"start": 279.28, "end": 279.28, "word": " this", "probability": 0.6162109375}, {"start": 279.28, "end": 279.28, "word": " is", "probability": 0.921875}, {"start": 279.28, "end": 279.28, "word": " 20", "probability": 0.9560546875}, {"start": 279.28, "end": 279.42, "word": " degrees", "probability": 0.9306640625}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.377685546875}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.734375}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.92431640625}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.95556640625}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.93505859375}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.51220703125}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.8408203125}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.93115234375}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.958984375}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.939453125}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.6611328125}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.8984375}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.939453125}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.96435546875}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.943359375}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.76708984375}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.92041015625}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.94384765625}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.96728515625}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.94580078125}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.82373046875}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.9287109375}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.9462890625}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.9697265625}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.94775390625}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.8603515625}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.93310546875}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.9482421875}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.9716796875}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.94921875}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.87939453125}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.93505859375}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.94970703125}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.97265625}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.9501953125}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.8916015625}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.93603515625}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.94970703125}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.9736328125}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.9501953125}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.89990234375}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.9365234375}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.951171875}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.974609375}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.95068359375}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.9033203125}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.93701171875}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.951171875}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.9755859375}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.95068359375}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.90771484375}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.93701171875}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.9501953125}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.97607421875}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.9501953125}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.9111328125}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.9375}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.951171875}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.9765625}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.94970703125}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.9140625}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.9375}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.95068359375}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.9775390625}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.94873046875}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.916015625}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.939453125}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.95166015625}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.97802734375}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.9482421875}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.9189453125}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.93994140625}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.9501953125}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.978515625}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.947265625}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.921875}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.93994140625}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.94970703125}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.97900390625}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.94677734375}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.9228515625}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.94091796875}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.94970703125}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.97998046875}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.9453125}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.9248046875}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.94140625}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.95068359375}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.97998046875}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.9453125}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.92626953125}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.94189453125}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.94921875}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.98095703125}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.94482421875}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.9267578125}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.94384765625}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.94921875}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.9814453125}, {"start": 279.42, "end": 279.42, "word": " degrees", "probability": 0.94384765625}, {"start": 279.42, "end": 279.42, "word": " and", "probability": 0.9287109375}, {"start": 279.42, "end": 279.42, "word": " this", "probability": 0.94482421875}, {"start": 279.42, "end": 279.42, "word": " is", "probability": 0.94921875}, {"start": 279.42, "end": 279.42, "word": " 20", "probability": 0.9814453125}, {"start": 279.42, "end": 279.52, "word": " degrees", "probability": 0.94384765625}, {"start": 279.52, "end": 279.54, "word": " and", "probability": 0.92822265625}, {"start": 279.54, "end": 279.54, "word": " this", "probability": 0.94482421875}, {"start": 279.54, "end": 279.54, "word": " is", "probability": 0.94921875}, {"start": 279.54, "end": 279.54, "word": " 20", "probability": 0.9814453125}, {"start": 279.54, "end": 279.54, "word": " degrees", "probability": 0.943359375}, {"start": 279.54, "end": 279.54, "word": " and", "probability": 0.9287109375}, {"start": 279.54, "end": 279.54, "word": " this", "probability": 0.94384765625}, {"start": 279.54, "end": 279.54, "word": " is", "probability": 0.94970703125}, {"start": 279.54, "end": 279.54, "word": " 20", "probability": 0.9814453125}, {"start": 279.54, "end": 279.54, "word": " degrees", "probability": 0.9423828125}, {"start": 279.54, "end": 279.54, "word": " and", "probability": 0.9296875}, {"start": 279.54, "end": 279.54, "word": " this", "probability": 0.94580078125}, {"start": 279.54, "end": 279.54, "word": " is", "probability": 0.95068359375}, {"start": 279.54, "end": 279.54, "word": " 20", "probability": 0.9814453125}, {"start": 279.54, "end": 279.54, "word": " degrees", "probability": 0.9423828125}, {"start": 279.54, "end": 279.54, "word": " and", "probability": 0.9296875}, {"start": 279.54, "end": 279.54, "word": " this", "probability": 0.9443359375}, {"start": 279.54, "end": 279.54, "word": " is", "probability": 0.94921875}, {"start": 279.54, "end": 279.54, "word": " 20", "probability": 0.98095703125}, {"start": 279.54, "end": 279.54, "word": " degrees", "probability": 0.94189453125}, {"start": 279.54, "end": 279.76, "word": " and", "probability": 0.92919921875}, {"start": 279.76, "end": 279.82, "word": " this", "probability": 0.94482421875}, {"start": 279.82, "end": 279.84, "word": " is", "probability": 0.94921875}, {"start": 279.84, "end": 279.84, "word": " 20", "probability": 0.98046875}, {"start": 279.84, "end": 279.84, "word": " degrees", "probability": 0.9423828125}, {"start": 279.84, "end": 279.84, "word": " and", "probability": 0.9296875}, {"start": 279.84, "end": 279.84, "word": " this", "probability": 0.9443359375}, {"start": 279.84, "end": 279.84, "word": " is", "probability": 0.95068359375}, {"start": 279.84, "end": 279.84, "word": " 20", "probability": 0.97998046875}, {"start": 279.84, "end": 279.84, "word": " degrees", "probability": 0.94140625}, {"start": 279.84, "end": 279.84, "word": " and", "probability": 0.9287109375}, {"start": 279.84, "end": 279.84, "word": " this", "probability": 0.94384765625}, {"start": 279.84, "end": 279.86, "word": " is", "probability": 0.95068359375}, {"start": 279.86, "end": 279.86, "word": " 20", "probability": 0.97900390625}, {"start": 279.86, "end": 279.86, "word": " degrees", "probability": 0.94189453125}, {"start": 279.86, "end": 279.86, "word": " and", "probability": 0.927734375}, {"start": 279.86, "end": 279.86, "word": " this", "probability": 0.9423828125}, {"start": 279.86, "end": 279.88, "word": " is", "probability": 0.95068359375}, {"start": 279.88, "end": 279.88, "word": " 20", "probability": 0.97802734375}, {"start": 279.88, "end": 279.88, "word": " degrees", "probability": 0.94189453125}, {"start": 279.88, "end": 279.88, "word": " and", "probability": 0.92431640625}, {"start": 279.88, "end": 279.88, "word": " this", "probability": 0.94140625}, {"start": 279.88, "end": 279.88, "word": " is", "probability": 0.95068359375}, {"start": 279.88, "end": 279.88, "word": " 20", "probability": 0.97607421875}, {"start": 279.88, "end": 279.88, "word": " degrees", "probability": 0.9423828125}, {"start": 279.88, "end": 279.88, "word": " and", "probability": 0.921875}, {"start": 279.88, "end": 279.88, "word": " this", "probability": 0.9404296875}, {"start": 279.88, "end": 279.9, "word": " is", "probability": 0.95068359375}, {"start": 279.9, "end": 279.94, "word": " 20", "probability": 0.97412109375}, {"start": 279.94, "end": 279.94, "word": " degrees", "probability": 0.9423828125}, {"start": 279.94, "end": 279.94, "word": " and", "probability": 0.91748046875}, {"start": 279.94, "end": 279.94, "word": " this", "probability": 0.9375}, {"start": 279.94, "end": 279.94, "word": " is", "probability": 0.94921875}, {"start": 279.94, "end": 279.94, "word": " 20", "probability": 0.97119140625}, {"start": 279.94, "end": 279.94, "word": " degrees", "probability": 0.943359375}, {"start": 279.94, "end": 279.94, "word": " and", "probability": 0.9111328125}, {"start": 279.94, "end": 279.94, "word": " this", "probability": 0.9345703125}, {"start": 279.94, "end": 279.94, "word": " is", "probability": 0.94873046875}, {"start": 279.94, "end": 280.2, "word": " 20", "probability": 0.9677734375}, {"start": 280.2, "end": 280.2, "word": " degrees", "probability": 0.943359375}, {"start": 280.2, "end": 280.2, "word": " and", "probability": 0.90234375}, {"start": 280.2, "end": 280.2, "word": " this", "probability": 0.93212890625}, {"start": 280.2, "end": 280.28, "word": " is", "probability": 0.94775390625}, {"start": 280.28, "end": 280.58, "word": " 20", "probability": 0.962890625}, {"start": 280.58, "end": 280.58, "word": " degrees", "probability": 0.94287109375}, {"start": 280.58, "end": 280.58, "word": " and", "probability": 0.8955078125}, {"start": 280.58, "end": 280.58, "word": " this", "probability": 0.92724609375}, {"start": 280.58, "end": 281.5, "word": " is", "probability": 0.9462890625}, {"start": 281.5, "end": 282.0, "word": " 20", "probability": 0.9560546875}, {"start": 282.0, "end": 282.16, "word": " degrees", "probability": 0.9423828125}, {"start": 282.16, "end": 282.7, "word": " and", "probability": 0.89111328125}, {"start": 282.7, "end": 282.96, "word": " this", "probability": 0.92724609375}, {"start": 282.96, "end": 283.16, "word": " is", "probability": 0.94482421875}, {"start": 283.16, "end": 284.92, "word": " 20", "probability": 0.951171875}, {"start": 284.92, "end": 285.9, "word": " degrees", "probability": 0.94140625}, {"start": 285.9, "end": 287.84, "word": " and", "probability": 0.89599609375}], "temperature": 1.0}, {"id": 13, "seek": 31182, "start": 293.28, "end": 311.82, "text": "ونفذناهم على شريحة من اللدائن ال plastic أو مادة معينة يعني شبيه بال plastic زي ال polyvinyl alcohol هدولة ال prismات بيشتغلوا أو بيقوموا مقام ال prism الكبير في العمل", "tokens": [2407, 1863, 5172, 8848, 8315, 16095, 15844, 13412, 16572, 5016, 3660, 9154, 13672, 3215, 16373, 1863, 2423, 5900, 34051, 3714, 18513, 3660, 20449, 9957, 3660, 37495, 22653, 13412, 21292, 3224, 20666, 5900, 30767, 1829, 2423, 6754, 85, 22946, 7658, 8032, 3215, 12610, 3660, 2423, 582, 1434, 9307, 4724, 1829, 8592, 2655, 17082, 1211, 14407, 34051, 4724, 1829, 4587, 20498, 14407, 3714, 4587, 10943, 2423, 582, 1434, 33251, 3555, 13546, 8978, 18863, 42213], "avg_logprob": -0.13505993803886518, "compression_ratio": 1.5317919075144508, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 293.28, "end": 294.34, "word": "ونفذناهم", "probability": 0.8622233072916666}, {"start": 294.34, "end": 294.7, "word": " على", "probability": 0.904296875}, {"start": 294.7, "end": 295.82, "word": " شريحة", "probability": 0.9937744140625}, {"start": 295.82, "end": 296.0, "word": " من", "probability": 0.99462890625}, {"start": 296.0, "end": 296.64, "word": " اللدائن", "probability": 0.7808837890625}, {"start": 296.64, "end": 296.76, "word": " ال", "probability": 0.447265625}, {"start": 296.76, "end": 297.22, "word": " plastic", "probability": 0.77783203125}, {"start": 297.22, "end": 298.02, "word": " أو", "probability": 0.86328125}, {"start": 298.02, "end": 299.0, "word": " مادة", "probability": 0.9593098958333334}, {"start": 299.0, "end": 299.82, "word": " معينة", "probability": 0.9807942708333334}, {"start": 299.82, "end": 300.02, "word": " يعني", "probability": 0.8505859375}, {"start": 300.02, "end": 300.34, "word": " شبيه", "probability": 0.88037109375}, {"start": 300.34, "end": 300.48, "word": " بال", "probability": 0.705078125}, {"start": 300.48, "end": 301.0, "word": " plastic", "probability": 0.81591796875}, {"start": 301.0, "end": 301.26, "word": " زي", "probability": 0.962646484375}, {"start": 301.26, "end": 301.36, "word": " ال", "probability": 0.8681640625}, {"start": 301.36, "end": 302.38, "word": " polyvinyl", "probability": 0.8492838541666666}, {"start": 302.38, "end": 303.54, "word": " alcohol", "probability": 0.8369140625}, {"start": 303.54, "end": 305.7, "word": " هدولة", "probability": 0.85302734375}, {"start": 305.7, "end": 305.76, "word": " ال", "probability": 0.83837890625}, {"start": 305.76, "end": 306.18, "word": " prismات", "probability": 0.6837565104166666}, {"start": 306.18, "end": 307.0, "word": " بيشتغلوا", "probability": 0.9561941964285714}, {"start": 307.0, "end": 307.54, "word": " أو", "probability": 0.74072265625}, {"start": 307.54, "end": 308.4, "word": " بيقوموا", "probability": 0.9791015625}, {"start": 308.4, "end": 308.82, "word": " مقام", "probability": 0.99169921875}, {"start": 308.82, "end": 308.96, "word": " ال", "probability": 0.72607421875}, {"start": 308.96, "end": 309.32, "word": " prism", "probability": 0.7841796875}, {"start": 309.32, "end": 309.98, "word": " الكبير", "probability": 0.9825846354166666}, {"start": 309.98, "end": 310.68, "word": " في", "probability": 0.9775390625}, {"start": 310.68, "end": 311.82, "word": " العمل", "probability": 0.97412109375}], "temperature": 1.0}, {"id": 14, "seek": 34129, "start": 312.03, "end": 341.29, "text": "means exactly the force of this small prism is equal to the force of this big prism and this force, but I can't say that their total force is 20 and 20 and 20 and 20, it's like their apex angle is 100 or 200 or 300, no, that's not what I meant, that they stand like a big prism, their apex angle is equal to the apex angle of each of them. Okay, what is the goal of the production of Fresnel Prism? To reduce weight and reduce thickness", "tokens": [1398, 599, 2293, 264, 3464, 295, 341, 1359, 582, 1434, 307, 2681, 281, 264, 3464, 295, 341, 955, 582, 1434, 293, 341, 3464, 11, 457, 286, 393, 380, 584, 300, 641, 3217, 3464, 307, 945, 293, 945, 293, 945, 293, 945, 11, 309, 311, 411, 641, 48115, 5802, 307, 2319, 420, 2331, 420, 6641, 11, 572, 11, 300, 311, 406, 437, 286, 4140, 11, 300, 436, 1463, 411, 257, 955, 582, 1434, 11, 641, 48115, 5802, 307, 2681, 281, 264, 48115, 5802, 295, 1184, 295, 552, 13, 1033, 11, 437, 307, 264, 3387, 295, 264, 4265, 295, 42618, 6396, 2114, 1434, 30, 1407, 5407, 3364, 293, 5407, 14855], "avg_logprob": -0.5111812210957939, "compression_ratio": 1.8793103448275863, "no_speech_prob": 3.355741500854492e-05, "words": [{"start": 312.03, "end": 312.33, "word": "means", "probability": 0.496337890625}, {"start": 312.33, "end": 312.71, "word": " exactly", "probability": 0.53564453125}, {"start": 312.71, "end": 312.89, "word": " the", "probability": 0.55712890625}, {"start": 312.89, "end": 313.03, "word": " force", "probability": 0.521484375}, {"start": 313.03, "end": 313.17, "word": " of", "probability": 0.9130859375}, {"start": 313.17, "end": 313.59, "word": " this", "probability": 0.65380859375}, {"start": 313.59, "end": 313.97, "word": " small", "probability": 0.8056640625}, {"start": 313.97, "end": 314.05, "word": " prism", "probability": 0.931640625}, {"start": 314.05, "end": 314.43, "word": " is", "probability": 0.1923828125}, {"start": 314.43, "end": 314.71, "word": " equal", "probability": 0.67724609375}, {"start": 314.71, "end": 314.75, "word": " to", "probability": 0.96240234375}, {"start": 314.75, "end": 314.87, "word": " the", "probability": 0.77490234375}, {"start": 314.87, "end": 315.01, "word": " force", "probability": 0.94140625}, {"start": 315.01, "end": 315.15, "word": " of", "probability": 0.9658203125}, {"start": 315.15, "end": 315.73, "word": " this", "probability": 0.77099609375}, {"start": 315.73, "end": 315.97, "word": " big", "probability": 0.6845703125}, {"start": 315.97, "end": 316.13, "word": " prism", "probability": 0.879638671875}, {"start": 316.13, "end": 316.33, "word": " and", "probability": 0.53466796875}, {"start": 316.33, "end": 316.93, "word": " this", "probability": 0.59033203125}, {"start": 316.93, "end": 316.95, "word": " force,", "probability": 0.8935546875}, {"start": 317.27, "end": 317.43, "word": " but", "probability": 0.83154296875}, {"start": 317.43, "end": 317.55, "word": " I", "probability": 0.93359375}, {"start": 317.55, "end": 317.81, "word": " can't", "probability": 0.770263671875}, {"start": 317.81, "end": 318.03, "word": " say", "probability": 0.875}, {"start": 318.03, "end": 318.13, "word": " that", "probability": 0.376220703125}, {"start": 318.13, "end": 318.61, "word": " their", "probability": 0.4580078125}, {"start": 318.61, "end": 318.91, "word": " total", "probability": 0.1962890625}, {"start": 318.91, "end": 318.93, "word": " force", "probability": 0.845703125}, {"start": 318.93, "end": 319.79, "word": " is", "probability": 0.34326171875}, {"start": 319.79, "end": 320.61, "word": " 20", "probability": 0.424072265625}, {"start": 320.61, "end": 320.81, "word": " and", "probability": 0.419921875}, {"start": 320.81, "end": 321.17, "word": " 20", "probability": 0.95751953125}, {"start": 321.17, "end": 321.27, "word": " and", "probability": 0.8876953125}, {"start": 321.27, "end": 321.59, "word": " 20", "probability": 0.970703125}, {"start": 321.59, "end": 321.71, "word": " and", "probability": 0.81591796875}, {"start": 321.71, "end": 322.07, "word": " 20,", "probability": 0.97021484375}, {"start": 322.11, "end": 322.31, "word": " it's", "probability": 0.42791748046875}, {"start": 322.31, "end": 322.49, "word": " like", "probability": 0.76611328125}, {"start": 322.49, "end": 323.03, "word": " their", "probability": 0.734375}, {"start": 323.03, "end": 323.37, "word": " apex", "probability": 0.64306640625}, {"start": 323.37, "end": 323.83, "word": " angle", "probability": 0.79931640625}, {"start": 323.83, "end": 324.27, "word": " is", "probability": 0.56103515625}, {"start": 324.27, "end": 324.65, "word": " 100", "probability": 0.828125}, {"start": 324.65, "end": 324.91, "word": " or", "probability": 0.853515625}, {"start": 324.91, "end": 325.21, "word": " 200", "probability": 0.9287109375}, {"start": 325.21, "end": 325.41, "word": " or", "probability": 0.955078125}, {"start": 325.41, "end": 325.77, "word": " 300,", "probability": 0.98193359375}, {"start": 325.97, "end": 326.05, "word": " no,", "probability": 0.70849609375}, {"start": 326.35, "end": 326.59, "word": " that's", "probability": 0.6357421875}, {"start": 326.59, "end": 326.59, "word": " not", "probability": 0.93603515625}, {"start": 326.59, "end": 326.79, "word": " what", "probability": 0.5615234375}, {"start": 326.79, "end": 326.87, "word": " I", "probability": 0.78955078125}, {"start": 326.87, "end": 327.13, "word": " meant,", "probability": 0.432373046875}, {"start": 327.29, "end": 327.37, "word": " that", "probability": 0.2491455078125}, {"start": 327.37, "end": 327.75, "word": " they", "probability": 0.453125}, {"start": 327.75, "end": 328.37, "word": " stand", "probability": 0.138427734375}, {"start": 328.37, "end": 328.61, "word": " like", "probability": 0.1849365234375}, {"start": 328.61, "end": 329.35, "word": " a", "probability": 0.52392578125}, {"start": 329.35, "end": 329.41, "word": " big", "probability": 0.30224609375}, {"start": 329.41, "end": 329.75, "word": " prism,", "probability": 0.748046875}, {"start": 330.47, "end": 331.35, "word": " their", "probability": 0.27392578125}, {"start": 331.35, "end": 331.69, "word": " apex", "probability": 0.7060546875}, {"start": 331.69, "end": 332.39, "word": " angle", "probability": 0.8603515625}, {"start": 332.39, "end": 332.85, "word": " is", "probability": 0.77099609375}, {"start": 332.85, "end": 333.23, "word": " equal", "probability": 0.89306640625}, {"start": 333.23, "end": 333.29, "word": " to", "probability": 0.97021484375}, {"start": 333.29, "end": 333.37, "word": " the", "probability": 0.5576171875}, {"start": 333.37, "end": 333.63, "word": " apex", "probability": 0.76416015625}, {"start": 333.63, "end": 334.13, "word": " angle", "probability": 0.85400390625}, {"start": 334.13, "end": 334.39, "word": " of", "probability": 0.94482421875}, {"start": 334.39, "end": 334.75, "word": " each", "probability": 0.84326171875}, {"start": 334.75, "end": 334.91, "word": " of", "probability": 0.59716796875}, {"start": 334.91, "end": 335.09, "word": " them.", "probability": 0.9013671875}, {"start": 335.39, "end": 335.55, "word": " Okay,", "probability": 0.1370849609375}, {"start": 335.61, "end": 335.77, "word": " what", "probability": 0.80712890625}, {"start": 335.77, "end": 335.81, "word": " is", "probability": 0.50244140625}, {"start": 335.81, "end": 335.91, "word": " the", "probability": 0.927734375}, {"start": 335.91, "end": 336.11, "word": " goal", "probability": 0.448486328125}, {"start": 336.11, "end": 336.37, "word": " of", "probability": 0.912109375}, {"start": 336.37, "end": 337.01, "word": " the", "probability": 0.3193359375}, {"start": 337.01, "end": 337.01, "word": " production", "probability": 0.88818359375}, {"start": 337.01, "end": 337.33, "word": " of", "probability": 0.9697265625}, {"start": 337.33, "end": 337.79, "word": " Fresnel", "probability": 0.683349609375}, {"start": 337.79, "end": 338.23, "word": " Prism?", "probability": 0.7005615234375}, {"start": 338.59, "end": 338.67, "word": " To", "probability": 0.414794921875}, {"start": 338.67, "end": 338.99, "word": " reduce", "probability": 0.57275390625}, {"start": 338.99, "end": 339.43, "word": " weight", "probability": 0.7646484375}, {"start": 339.43, "end": 340.07, "word": " and", "probability": 0.82666015625}, {"start": 340.07, "end": 340.63, "word": " reduce", "probability": 0.52294921875}, {"start": 340.63, "end": 341.29, "word": " thickness", "probability": 0.3447265625}], "temperature": 1.0}, {"id": 15, "seek": 36629, "start": 341.83, "end": 366.29, "text": "It is clear that here if we want to attach this Librasm to his glasses, there will be an area with it on one side of the glasses which is very thick and on the other side which is very thin As we saw in one of the pictures when we started talking about Librasms The following picture will clarify the matter", "tokens": [3522, 307, 1850, 300, 510, 498, 321, 528, 281, 5085, 341, 15834, 3906, 76, 281, 702, 10812, 11, 456, 486, 312, 364, 1859, 365, 309, 322, 472, 1252, 295, 264, 10812, 597, 307, 588, 5060, 293, 322, 264, 661, 1252, 597, 307, 588, 5862, 1018, 321, 1866, 294, 472, 295, 264, 5242, 562, 321, 1409, 1417, 466, 15834, 3906, 2592, 440, 3480, 3036, 486, 17594, 264, 1871], "avg_logprob": -0.4999999938642277, "compression_ratio": 1.6775956284153006, "no_speech_prob": 1.424551010131836e-05, "words": [{"start": 341.83, "end": 342.01, "word": "It", "probability": 0.60302734375}, {"start": 342.01, "end": 342.15, "word": " is", "probability": 0.438232421875}, {"start": 342.15, "end": 342.27, "word": " clear", "probability": 0.623046875}, {"start": 342.27, "end": 342.51, "word": " that", "probability": 0.83154296875}, {"start": 342.51, "end": 342.75, "word": " here", "probability": 0.321044921875}, {"start": 342.75, "end": 342.93, "word": " if", "probability": 0.75732421875}, {"start": 342.93, "end": 343.21, "word": " we", "probability": 0.217529296875}, {"start": 343.21, "end": 343.41, "word": " want", "probability": 0.52880859375}, {"start": 343.41, "end": 344.27, "word": " to", "probability": 0.919921875}, {"start": 344.27, "end": 344.61, "word": " attach", "probability": 0.322998046875}, {"start": 344.61, "end": 344.99, "word": " this", "probability": 0.77587890625}, {"start": 344.99, "end": 345.41, "word": " Librasm", "probability": 0.3865152994791667}, {"start": 345.41, "end": 345.53, "word": " to", "probability": 0.62744140625}, {"start": 345.53, "end": 345.63, "word": " his", "probability": 0.5048828125}, {"start": 345.63, "end": 346.01, "word": " glasses,", "probability": 0.51513671875}, {"start": 346.35, "end": 346.49, "word": " there", "probability": 0.6552734375}, {"start": 346.49, "end": 346.49, "word": " will", "probability": 0.6337890625}, {"start": 346.49, "end": 346.77, "word": " be", "probability": 0.9443359375}, {"start": 346.77, "end": 347.05, "word": " an", "probability": 0.29833984375}, {"start": 347.05, "end": 347.37, "word": " area", "probability": 0.857421875}, {"start": 347.37, "end": 347.61, "word": " with", "probability": 0.53466796875}, {"start": 347.61, "end": 347.85, "word": " it", "probability": 0.369384765625}, {"start": 347.85, "end": 348.29, "word": " on", "probability": 0.31787109375}, {"start": 348.29, "end": 348.75, "word": " one", "probability": 0.74853515625}, {"start": 348.75, "end": 348.97, "word": " side", "probability": 0.7509765625}, {"start": 348.97, "end": 349.15, "word": " of", "probability": 0.9365234375}, {"start": 349.15, "end": 349.23, "word": " the", "probability": 0.85791015625}, {"start": 349.23, "end": 349.49, "word": " glasses", "probability": 0.46435546875}, {"start": 349.49, "end": 349.69, "word": " which", "probability": 0.1910400390625}, {"start": 349.69, "end": 349.79, "word": " is", "probability": 0.7353515625}, {"start": 349.79, "end": 350.17, "word": " very", "probability": 0.74462890625}, {"start": 350.17, "end": 350.37, "word": " thick", "probability": 0.6240234375}, {"start": 350.37, "end": 351.37, "word": " and", "probability": 0.52294921875}, {"start": 351.37, "end": 351.49, "word": " on", "probability": 0.8837890625}, {"start": 351.49, "end": 352.07, "word": " the", "probability": 0.7685546875}, {"start": 352.07, "end": 352.19, "word": " other", "probability": 0.876953125}, {"start": 352.19, "end": 352.25, "word": " side", "probability": 0.76416015625}, {"start": 352.25, "end": 353.39, "word": " which", "probability": 0.529296875}, {"start": 353.39, "end": 353.43, "word": " is", "probability": 0.939453125}, {"start": 353.43, "end": 353.49, "word": " very", "probability": 0.77099609375}, {"start": 353.49, "end": 353.79, "word": " thin", "probability": 0.6376953125}, {"start": 353.79, "end": 354.43, "word": " As", "probability": 0.22314453125}, {"start": 354.43, "end": 354.65, "word": " we", "probability": 0.68310546875}, {"start": 354.65, "end": 354.85, "word": " saw", "probability": 0.4951171875}, {"start": 354.85, "end": 355.35, "word": " in", "probability": 0.8466796875}, {"start": 355.35, "end": 356.25, "word": " one", "probability": 0.73291015625}, {"start": 356.25, "end": 356.25, "word": " of", "probability": 0.8818359375}, {"start": 356.25, "end": 356.35, "word": " the", "probability": 0.91015625}, {"start": 356.35, "end": 356.59, "word": " pictures", "probability": 0.58740234375}, {"start": 356.59, "end": 356.87, "word": " when", "probability": 0.833984375}, {"start": 356.87, "end": 357.31, "word": " we", "probability": 0.95654296875}, {"start": 357.31, "end": 357.31, "word": " started", "probability": 0.84326171875}, {"start": 357.31, "end": 357.63, "word": " talking", "probability": 0.53466796875}, {"start": 357.63, "end": 358.43, "word": " about", "probability": 0.90869140625}, {"start": 358.43, "end": 360.61, "word": " Librasms", "probability": 0.90087890625}, {"start": 360.61, "end": 364.63, "word": " The", "probability": 0.6494140625}, {"start": 364.63, "end": 365.19, "word": " following", "probability": 0.55712890625}, {"start": 365.19, "end": 365.19, "word": " picture", "probability": 0.630859375}, {"start": 365.19, "end": 365.51, "word": " will", "probability": 0.81640625}, {"start": 365.51, "end": 365.89, "word": " clarify", "probability": 0.357177734375}, {"start": 365.89, "end": 366.07, "word": " the", "probability": 0.47509765625}, {"start": 366.07, "end": 366.29, "word": " matter", "probability": 0.603515625}], "temperature": 1.0}, {"id": 16, "seek": 39926, "start": 372.92, "end": 399.26, "text": "لأ هي مش .. مش في المساقة ده، في مساقة اللي حوالي، بنجيبها من ال net I prism incorporation into spectacles هيكون عندى", "tokens": [1211, 10721, 39896, 37893, 4386, 37893, 8978, 9673, 3794, 995, 28671, 11778, 3224, 12399, 8978, 47524, 995, 28671, 13672, 1829, 11331, 2407, 6027, 1829, 12399, 44945, 7435, 1829, 3555, 11296, 9154, 2423, 2533, 286, 582, 1434, 8788, 399, 666, 6177, 9918, 39896, 30544, 43242, 7578], "avg_logprob": -0.3296535462141037, "compression_ratio": 1.2517985611510791, "no_speech_prob": 2.2649765014648438e-06, "words": [{"start": 372.92, "end": 373.24, "word": "لأ", "probability": 0.50543212890625}, {"start": 373.24, "end": 373.46, "word": " هي", "probability": 0.45703125}, {"start": 373.46, "end": 373.78, "word": " مش", "probability": 0.96533203125}, {"start": 373.78, "end": 373.9, "word": " ..", "probability": 0.5302734375}, {"start": 373.9, "end": 374.1, "word": " مش", "probability": 0.62109375}, {"start": 374.1, "end": 374.34, "word": " في", "probability": 0.6787109375}, {"start": 374.34, "end": 374.82, "word": " المساقة", "probability": 0.67193603515625}, {"start": 374.82, "end": 375.12, "word": " ده،", "probability": 0.7767740885416666}, {"start": 375.12, "end": 375.2, "word": " في", "probability": 0.90869140625}, {"start": 375.2, "end": 375.6, "word": " مساقة", "probability": 0.7796223958333334}, {"start": 375.6, "end": 375.76, "word": " اللي", "probability": 0.77783203125}, {"start": 375.76, "end": 376.68, "word": " حوالي،", "probability": 0.83193359375}, {"start": 376.68, "end": 377.24, "word": " بنجيبها", "probability": 0.97373046875}, {"start": 377.24, "end": 377.38, "word": " من", "probability": 0.9970703125}, {"start": 377.38, "end": 377.56, "word": " ال", "probability": 0.97509765625}, {"start": 377.56, "end": 377.84, "word": " net", "probability": 0.7265625}, {"start": 377.84, "end": 381.82, "word": " I", "probability": 0.401123046875}, {"start": 381.82, "end": 382.82, "word": " prism", "probability": 0.6884765625}, {"start": 382.82, "end": 386.48, "word": " incorporation", "probability": 0.9609375}, {"start": 386.48, "end": 390.74, "word": " into", "probability": 0.880859375}, {"start": 390.74, "end": 392.5, "word": " spectacles", "probability": 0.922607421875}, {"start": 392.5, "end": 398.74, "word": " هيكون", "probability": 0.673583984375}, {"start": 398.74, "end": 399.26, "word": " عندى", "probability": 0.7236328125}], "temperature": 1.0}, {"id": 17, "seek": 42697, "start": 401.25, "end": 426.97, "text": "هي عدسة ومعها prism من حفة معينة هيكون خميل جدا، حفة تانية الصمك طبيعي، بس الحفة .. أحد الحفف هتكون .. فهذه عشان أتفاد هذه القضية .. عشان أتفاد هذه القضية، بلجأ لمه يسمى peripheral prism، واللي هنشوفه احنا بعد شوية نرجع للصورة بتاعتنا إذا", "tokens": [3224, 1829, 6225, 3215, 3794, 3660, 4032, 2304, 3615, 11296, 582, 1434, 9154, 11331, 5172, 3660, 20449, 9957, 3660, 39896, 30544, 16490, 2304, 26895, 10874, 28259, 12399, 11331, 5172, 3660, 6055, 7649, 10632, 31767, 2304, 4117, 23032, 21292, 3615, 1829, 12399, 4724, 3794, 21542, 5172, 3660, 4386, 5551, 24401, 21542, 5172, 5172, 8032, 2655, 30544, 4386, 6156, 3224, 24192, 6225, 8592, 7649, 5551, 2655, 5172, 18513, 29538, 25062, 11242, 10632, 4386, 6225, 8592, 7649, 5551, 2655, 5172, 18513, 29538, 25062, 11242, 10632, 12399, 4724, 1211, 7435, 10721, 32767, 3224, 7251, 38251, 7578, 40235, 582, 1434, 12399, 16070, 20292, 8032, 1863, 8592, 38688, 3224, 1975, 5016, 8315, 39182, 13412, 2407, 10632, 8717, 47341, 3615, 24976, 9381, 13063, 3660, 39894, 995, 34268, 8315, 11933, 15730], "avg_logprob": -0.24659778357994172, "compression_ratio": 1.7729257641921397, "no_speech_prob": 9.590387344360352e-05, "words": [{"start": 401.25, "end": 401.67, "word": "هي", "probability": 0.388824462890625}, {"start": 401.67, "end": 402.31, "word": " عدسة", "probability": 0.9537353515625}, {"start": 402.31, "end": 402.65, "word": " ومعها", "probability": 0.84521484375}, {"start": 402.65, "end": 402.97, "word": " prism", "probability": 0.6234130859375}, {"start": 402.97, "end": 403.19, "word": " من", "probability": 0.72705078125}, {"start": 403.19, "end": 403.51, "word": " حفة", "probability": 0.9786783854166666}, {"start": 403.51, "end": 404.01, "word": " معينة", "probability": 0.95556640625}, {"start": 404.01, "end": 404.53, "word": " هيكون", "probability": 0.706298828125}, {"start": 404.53, "end": 405.19, "word": " خميل", "probability": 0.7565104166666666}, {"start": 405.19, "end": 405.73, "word": " جدا،", "probability": 0.770263671875}, {"start": 405.73, "end": 406.05, "word": " حفة", "probability": 0.8282877604166666}, {"start": 406.05, "end": 406.39, "word": " تانية", "probability": 0.88623046875}, {"start": 406.39, "end": 407.01, "word": " الصمك", "probability": 0.4915364583333333}, {"start": 407.01, "end": 407.95, "word": " طبيعي،", "probability": 0.84794921875}, {"start": 407.95, "end": 408.17, "word": " بس", "probability": 0.96484375}, {"start": 408.17, "end": 408.71, "word": " الحفة", "probability": 0.9715169270833334}, {"start": 408.71, "end": 408.77, "word": " ..", "probability": 0.358642578125}, {"start": 408.77, "end": 408.97, "word": " أحد", "probability": 0.825927734375}, {"start": 408.97, "end": 409.39, "word": " الحفف", "probability": 0.826171875}, {"start": 409.39, "end": 409.81, "word": " هتكون", "probability": 0.9191080729166666}, {"start": 409.81, "end": 410.11, "word": " ..", "probability": 0.60546875}, {"start": 410.11, "end": 410.49, "word": " فهذه", "probability": 0.7389322916666666}, {"start": 410.49, "end": 410.77, "word": " عشان", "probability": 0.97314453125}, {"start": 410.77, "end": 411.27, "word": " أتفاد", "probability": 0.8858642578125}, {"start": 411.27, "end": 411.53, "word": " هذه", "probability": 0.42822265625}, {"start": 411.53, "end": 412.17, "word": " القضية", "probability": 0.9820963541666666}, {"start": 412.17, "end": 412.29, "word": " ..", "probability": 0.619140625}, {"start": 412.29, "end": 412.57, "word": " عشان", "probability": 0.9513346354166666}, {"start": 412.57, "end": 412.91, "word": " أتفاد", "probability": 0.988525390625}, {"start": 412.91, "end": 413.09, "word": " هذه", "probability": 0.97900390625}, {"start": 413.09, "end": 413.97, "word": " القضية،", "probability": 0.86346435546875}, {"start": 413.97, "end": 414.47, "word": " بلجأ", "probability": 0.91259765625}, {"start": 414.47, "end": 414.79, "word": " لمه", "probability": 0.5093994140625}, {"start": 414.79, "end": 415.39, "word": " يسمى", "probability": 0.9363606770833334}, {"start": 415.39, "end": 415.69, "word": " peripheral", "probability": 0.10699462890625}, {"start": 415.69, "end": 416.85, "word": " prism،", "probability": 0.6341959635416666}, {"start": 416.85, "end": 417.03, "word": " واللي", "probability": 0.671875}, {"start": 417.03, "end": 417.55, "word": " هنشوفه", "probability": 0.9548828125}, {"start": 417.55, "end": 417.85, "word": " احنا", "probability": 0.86328125}, {"start": 417.85, "end": 418.59, "word": " بعد", "probability": 0.95556640625}, {"start": 418.59, "end": 419.23, "word": " شوية", "probability": 0.94677734375}, {"start": 419.23, "end": 425.79, "word": " نرجع", "probability": 0.9324544270833334}, {"start": 425.79, "end": 426.21, "word": " للصورة", "probability": 0.8856201171875}, {"start": 426.21, "end": 426.73, "word": " بتاعتنا", "probability": 0.9912109375}, {"start": 426.73, "end": 426.97, "word": " إذا", "probability": 0.614013671875}], "temperature": 1.0}, {"id": 18, "seek": 45446, "start": 428.24, "end": 454.46, "text": "This is a series of small prisms. Each prism has an apical angle which is equal to the apical angle of the large prism. All these prisms together block this big prism. So that acts as a single large prism.", "tokens": [5723, 307, 257, 2638, 295, 1359, 582, 13539, 13, 6947, 582, 1434, 575, 364, 1882, 804, 5802, 597, 307, 2681, 281, 264, 1882, 804, 5802, 295, 264, 2416, 582, 1434, 13, 1057, 613, 582, 13539, 1214, 3461, 341, 955, 582, 1434, 13, 407, 300, 10672, 382, 257, 2167, 2416, 582, 1434, 13], "avg_logprob": -0.49793633425010825, "compression_ratio": 1.5648854961832062, "no_speech_prob": 3.159046173095703e-06, "words": [{"start": 428.24, "end": 428.54, "word": "This", "probability": 0.278564453125}, {"start": 428.54, "end": 428.62, "word": " is", "probability": 0.89208984375}, {"start": 428.62, "end": 429.12, "word": " a", "probability": 0.83740234375}, {"start": 429.12, "end": 429.5, "word": " series", "probability": 0.55029296875}, {"start": 429.5, "end": 432.9, "word": " of", "probability": 0.62060546875}, {"start": 432.9, "end": 433.1, "word": " small", "probability": 0.66259765625}, {"start": 433.1, "end": 433.58, "word": " prisms.", "probability": 0.848388671875}, {"start": 434.62, "end": 434.98, "word": " Each", "probability": 0.64404296875}, {"start": 434.98, "end": 435.4, "word": " prism", "probability": 0.74755859375}, {"start": 435.4, "end": 436.1, "word": " has", "probability": 0.288818359375}, {"start": 436.1, "end": 436.46, "word": " an", "probability": 0.62060546875}, {"start": 436.46, "end": 437.58, "word": " apical", "probability": 0.614013671875}, {"start": 437.58, "end": 438.02, "word": " angle", "probability": 0.86328125}, {"start": 438.02, "end": 438.26, "word": " which", "probability": 0.1644287109375}, {"start": 438.26, "end": 438.72, "word": " is", "probability": 0.6201171875}, {"start": 438.72, "end": 438.86, "word": " equal", "probability": 0.625}, {"start": 438.86, "end": 439.5, "word": " to", "probability": 0.970703125}, {"start": 439.5, "end": 439.54, "word": " the", "probability": 0.67626953125}, {"start": 439.54, "end": 439.96, "word": " apical", "probability": 0.6685791015625}, {"start": 439.96, "end": 440.34, "word": " angle", "probability": 0.87451171875}, {"start": 440.34, "end": 440.68, "word": " of", "probability": 0.8583984375}, {"start": 440.68, "end": 440.86, "word": " the", "probability": 0.46484375}, {"start": 440.86, "end": 441.16, "word": " large", "probability": 0.6767578125}, {"start": 441.16, "end": 441.5, "word": " prism.", "probability": 0.93359375}, {"start": 441.66, "end": 441.96, "word": " All", "probability": 0.3837890625}, {"start": 441.96, "end": 442.8, "word": " these", "probability": 0.330078125}, {"start": 442.8, "end": 443.44, "word": " prisms", "probability": 0.71142578125}, {"start": 443.44, "end": 443.44, "word": " together", "probability": 0.403564453125}, {"start": 443.44, "end": 444.48, "word": " block", "probability": 0.172119140625}, {"start": 444.48, "end": 445.02, "word": " this", "probability": 0.52197265625}, {"start": 445.02, "end": 447.1, "word": " big", "probability": 0.454345703125}, {"start": 447.1, "end": 447.54, "word": " prism.", "probability": 0.9345703125}, {"start": 448.26, "end": 448.46, "word": " So", "probability": 0.39599609375}, {"start": 448.46, "end": 449.44, "word": " that", "probability": 0.5224609375}, {"start": 449.44, "end": 449.86, "word": " acts", "probability": 0.61474609375}, {"start": 449.86, "end": 450.3, "word": " as", "probability": 0.92822265625}, {"start": 450.3, "end": 450.54, "word": " a", "probability": 0.97900390625}, {"start": 450.54, "end": 450.96, "word": " single", "probability": 0.94482421875}, {"start": 450.96, "end": 453.4, "word": " large", "probability": 0.935546875}, {"start": 453.4, "end": 454.46, "word": " prism.", "probability": 0.938232421875}], "temperature": 1.0}, {"id": 19, "seek": 48553, "start": 456.05, "end": 485.53, "text": "This Leprinoliprism shows that this cell is made from polyvinyl chloride, not polyvinyl alcohol, sorry. Polyvinyl chloride from the polyvinyl chloride substance. Of course, it is a transparent substance, so it can be used in the production of Leprinoliprism.", "tokens": [5723, 441, 595, 12629, 401, 647, 81, 1434, 3110, 300, 341, 2815, 307, 1027, 490, 6754, 85, 22946, 35434, 11, 406, 6754, 85, 22946, 7658, 11, 2597, 13, 18553, 85, 22946, 35434, 490, 264, 6754, 85, 22946, 35434, 12961, 13, 2720, 1164, 11, 309, 307, 257, 12737, 12961, 11, 370, 309, 393, 312, 1143, 294, 264, 4265, 295, 441, 595, 12629, 401, 647, 81, 1434, 13], "avg_logprob": -0.570429132945502, "compression_ratio": 1.6753246753246753, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 456.05, "end": 456.33, "word": "This", "probability": 0.384033203125}, {"start": 456.33, "end": 457.27, "word": " Leprinoliprism", "probability": 0.5275617327008929}, {"start": 457.27, "end": 458.31, "word": " shows", "probability": 0.238525390625}, {"start": 458.31, "end": 460.17, "word": " that", "probability": 0.306396484375}, {"start": 460.17, "end": 460.53, "word": " this", "probability": 0.70263671875}, {"start": 460.53, "end": 460.91, "word": " cell", "probability": 0.059051513671875}, {"start": 460.91, "end": 462.81, "word": " is", "probability": 0.6572265625}, {"start": 462.81, "end": 464.73, "word": " made", "probability": 0.410400390625}, {"start": 464.73, "end": 470.57, "word": " from", "probability": 0.466552734375}, {"start": 470.57, "end": 471.71, "word": " polyvinyl", "probability": 0.576934814453125}, {"start": 471.71, "end": 472.25, "word": " chloride,", "probability": 0.87939453125}, {"start": 472.29, "end": 472.43, "word": " not", "probability": 0.56201171875}, {"start": 472.43, "end": 473.01, "word": " polyvinyl", "probability": 0.8782552083333334}, {"start": 473.01, "end": 473.41, "word": " alcohol,", "probability": 0.461181640625}, {"start": 473.93, "end": 473.93, "word": " sorry.", "probability": 0.515625}, {"start": 474.45, "end": 475.23, "word": " Polyvinyl", "probability": 0.85009765625}, {"start": 475.23, "end": 475.87, "word": " chloride", "probability": 0.95849609375}, {"start": 475.87, "end": 476.11, "word": " from", "probability": 0.156494140625}, {"start": 476.11, "end": 476.81, "word": " the", "probability": 0.41552734375}, {"start": 476.81, "end": 477.51, "word": " polyvinyl", "probability": 0.8190104166666666}, {"start": 477.51, "end": 478.37, "word": " chloride", "probability": 0.9814453125}, {"start": 478.37, "end": 478.37, "word": " substance.", "probability": 0.61474609375}, {"start": 478.85, "end": 479.59, "word": " Of", "probability": 0.6982421875}, {"start": 479.59, "end": 479.67, "word": " course,", "probability": 0.95361328125}, {"start": 479.87, "end": 479.87, "word": " it", "probability": 0.89306640625}, {"start": 479.87, "end": 480.09, "word": " is", "probability": 0.79541015625}, {"start": 480.09, "end": 480.55, "word": " a", "probability": 0.462890625}, {"start": 480.55, "end": 480.95, "word": " transparent", "probability": 0.498291015625}, {"start": 480.95, "end": 481.03, "word": " substance,", "probability": 0.85888671875}, {"start": 481.21, "end": 481.33, "word": " so", "probability": 0.332275390625}, {"start": 481.33, "end": 481.59, "word": " it", "probability": 0.5244140625}, {"start": 481.59, "end": 481.85, "word": " can", "probability": 0.8798828125}, {"start": 481.85, "end": 482.35, "word": " be", "probability": 0.94580078125}, {"start": 482.35, "end": 482.95, "word": " used", "probability": 0.90771484375}, {"start": 482.95, "end": 483.55, "word": " in", "probability": 0.62890625}, {"start": 483.55, "end": 483.71, "word": " the", "probability": 0.6201171875}, {"start": 483.71, "end": 484.07, "word": " production", "probability": 0.73193359375}, {"start": 484.07, "end": 484.65, "word": " of", "probability": 0.9697265625}, {"start": 484.65, "end": 485.53, "word": " Leprinoliprism.", "probability": 0.8846958705357143}], "temperature": 1.0}, {"id": 20, "seek": 50010, "start": 485.66, "end": 500.1, "text": "The Fresnel prism is like any normal prism, like any large prism, it has a base and it has an apex, but because it is small, it is not clear where is the base and where is the apex, so we are in manufacturing this Fresnel prism that we will extract from it and stick it in the glasses", "tokens": [2278, 42618, 6396, 582, 1434, 307, 411, 604, 2710, 582, 1434, 11, 411, 604, 2416, 582, 1434, 11, 309, 575, 257, 3096, 293, 309, 575, 364, 48115, 11, 457, 570, 309, 307, 1359, 11, 309, 307, 406, 1850, 689, 307, 264, 3096, 293, 689, 307, 264, 48115, 11, 370, 321, 366, 294, 11096, 341, 42618, 6396, 582, 1434, 300, 321, 486, 8947, 490, 309, 293, 2897, 309, 294, 264, 10812], "avg_logprob": -0.3919454317697337, "compression_ratio": 1.7530864197530864, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 485.66, "end": 485.84, "word": "The", "probability": 0.201171875}, {"start": 485.84, "end": 486.16, "word": " Fresnel", "probability": 0.902099609375}, {"start": 486.16, "end": 486.6, "word": " prism", "probability": 0.7408447265625}, {"start": 486.6, "end": 486.76, "word": " is", "probability": 0.4853515625}, {"start": 486.76, "end": 486.9, "word": " like", "probability": 0.50390625}, {"start": 486.9, "end": 487.32, "word": " any", "probability": 0.8359375}, {"start": 487.32, "end": 487.48, "word": " normal", "probability": 0.5439453125}, {"start": 487.48, "end": 487.98, "word": " prism,", "probability": 0.907470703125}, {"start": 488.54, "end": 488.66, "word": " like", "probability": 0.7880859375}, {"start": 488.66, "end": 488.92, "word": " any", "probability": 0.89892578125}, {"start": 488.92, "end": 489.22, "word": " large", "probability": 0.80615234375}, {"start": 489.22, "end": 489.58, "word": " prism,", "probability": 0.9423828125}, {"start": 489.66, "end": 489.76, "word": " it", "probability": 0.7236328125}, {"start": 489.76, "end": 489.9, "word": " has", "probability": 0.9365234375}, {"start": 489.9, "end": 490.02, "word": " a", "probability": 0.75830078125}, {"start": 490.02, "end": 490.28, "word": " base", "probability": 0.896484375}, {"start": 490.28, "end": 490.92, "word": " and", "probability": 0.8935546875}, {"start": 490.92, "end": 491.04, "word": " it", "probability": 0.285888671875}, {"start": 491.04, "end": 491.18, "word": " has", "probability": 0.94677734375}, {"start": 491.18, "end": 491.26, "word": " an", "probability": 0.52978515625}, {"start": 491.26, "end": 491.48, "word": " apex,", "probability": 0.9189453125}, {"start": 491.62, "end": 491.78, "word": " but", "probability": 0.8447265625}, {"start": 491.78, "end": 491.98, "word": " because", "probability": 0.85595703125}, {"start": 491.98, "end": 492.18, "word": " it", "probability": 0.91943359375}, {"start": 492.18, "end": 492.2, "word": " is", "probability": 0.583984375}, {"start": 492.2, "end": 492.5, "word": " small,", "probability": 0.86962890625}, {"start": 492.66, "end": 492.66, "word": " it", "probability": 0.71142578125}, {"start": 492.66, "end": 492.8, "word": " is", "probability": 0.4775390625}, {"start": 492.8, "end": 492.98, "word": " not", "probability": 0.7939453125}, {"start": 492.98, "end": 493.58, "word": " clear", "probability": 0.58544921875}, {"start": 493.58, "end": 493.86, "word": " where", "probability": 0.8203125}, {"start": 493.86, "end": 493.98, "word": " is", "probability": 0.38916015625}, {"start": 493.98, "end": 494.06, "word": " the", "probability": 0.88330078125}, {"start": 494.06, "end": 494.3, "word": " base", "probability": 0.92138671875}, {"start": 494.3, "end": 494.42, "word": " and", "probability": 0.91064453125}, {"start": 494.42, "end": 494.48, "word": " where", "probability": 0.6474609375}, {"start": 494.48, "end": 494.48, "word": " is", "probability": 0.90771484375}, {"start": 494.48, "end": 494.56, "word": " the", "probability": 0.9111328125}, {"start": 494.56, "end": 494.8, "word": " apex,", "probability": 0.9130859375}, {"start": 494.9, "end": 495.0, "word": " so", "probability": 0.833984375}, {"start": 495.0, "end": 495.14, "word": " we", "probability": 0.8115234375}, {"start": 495.14, "end": 495.36, "word": " are", "probability": 0.349365234375}, {"start": 495.36, "end": 495.84, "word": " in", "probability": 0.381591796875}, {"start": 495.84, "end": 496.44, "word": " manufacturing", "probability": 0.235595703125}, {"start": 496.44, "end": 497.06, "word": " this", "probability": 0.8037109375}, {"start": 497.06, "end": 497.56, "word": " Fresnel", "probability": 0.932373046875}, {"start": 497.56, "end": 497.9, "word": " prism", "probability": 0.9140625}, {"start": 497.9, "end": 498.02, "word": " that", "probability": 0.48974609375}, {"start": 498.02, "end": 498.22, "word": " we", "probability": 0.85693359375}, {"start": 498.22, "end": 498.24, "word": " will", "probability": 0.515625}, {"start": 498.24, "end": 498.48, "word": " extract", "probability": 0.30029296875}, {"start": 498.48, "end": 498.72, "word": " from", "probability": 0.60888671875}, {"start": 498.72, "end": 498.88, "word": " it", "probability": 0.91552734375}, {"start": 498.88, "end": 499.06, "word": " and", "probability": 0.86328125}, {"start": 499.06, "end": 499.34, "word": " stick", "probability": 0.39453125}, {"start": 499.34, "end": 499.52, "word": " it", "probability": 0.70654296875}, {"start": 499.52, "end": 499.6, "word": " in", "probability": 0.64501953125}, {"start": 499.6, "end": 499.74, "word": " the", "probability": 0.7431640625}, {"start": 499.74, "end": 500.1, "word": " glasses", "probability": 0.17529296875}], "temperature": 1.0}, {"id": 21, "seek": 51715, "start": 501.03, "end": 517.15, "text": "This is the circular piece. We will partially glue it to the glass. I will have a guide to the base down here and the strength of the prism here is 12 diopter prisms. If I bring the frame of the glass and put it like this", "tokens": [5723, 307, 264, 16476, 2522, 13, 492, 486, 18886, 8998, 309, 281, 264, 4276, 13, 286, 486, 362, 257, 5934, 281, 264, 3096, 760, 510, 293, 264, 3800, 295, 264, 582, 1434, 510, 307, 2272, 1026, 404, 391, 582, 13539, 13, 759, 286, 1565, 264, 3920, 295, 264, 4276, 293, 829, 309, 411, 341], "avg_logprob": -0.6732954610477794, "compression_ratio": 1.483221476510067, "no_speech_prob": 3.6835670471191406e-05, "words": [{"start": 501.03, "end": 501.31, "word": "This", "probability": 0.1795654296875}, {"start": 501.31, "end": 501.39, "word": " is", "probability": 0.6064453125}, {"start": 501.39, "end": 501.91, "word": " the", "probability": 0.67919921875}, {"start": 501.91, "end": 502.67, "word": " circular", "probability": 0.43994140625}, {"start": 502.67, "end": 502.77, "word": " piece.", "probability": 0.54541015625}, {"start": 502.93, "end": 503.27, "word": " We", "probability": 0.5009765625}, {"start": 503.27, "end": 503.35, "word": " will", "probability": 0.484130859375}, {"start": 503.35, "end": 503.71, "word": " partially", "probability": 0.086669921875}, {"start": 503.71, "end": 504.09, "word": " glue", "probability": 0.151123046875}, {"start": 504.09, "end": 504.63, "word": " it", "probability": 0.8271484375}, {"start": 504.63, "end": 504.69, "word": " to", "probability": 0.41650390625}, {"start": 504.69, "end": 504.89, "word": " the", "probability": 0.86572265625}, {"start": 504.89, "end": 505.07, "word": " glass.", "probability": 0.19677734375}, {"start": 505.45, "end": 505.85, "word": " I", "probability": 0.499267578125}, {"start": 505.85, "end": 506.53, "word": " will", "probability": 0.44091796875}, {"start": 506.53, "end": 506.53, "word": " have", "probability": 0.8173828125}, {"start": 506.53, "end": 506.91, "word": " a", "probability": 0.6083984375}, {"start": 506.91, "end": 507.29, "word": " guide", "probability": 0.1463623046875}, {"start": 507.29, "end": 507.51, "word": " to", "probability": 0.1778564453125}, {"start": 507.51, "end": 508.15, "word": " the", "probability": 0.51025390625}, {"start": 508.15, "end": 508.61, "word": " base", "probability": 0.7802734375}, {"start": 508.61, "end": 509.17, "word": " down", "probability": 0.356201171875}, {"start": 509.17, "end": 509.91, "word": " here", "probability": 0.80322265625}, {"start": 509.91, "end": 510.59, "word": " and", "probability": 0.489501953125}, {"start": 510.59, "end": 511.05, "word": " the", "probability": 0.439208984375}, {"start": 511.05, "end": 511.25, "word": " strength", "probability": 0.30908203125}, {"start": 511.25, "end": 511.43, "word": " of", "probability": 0.9384765625}, {"start": 511.43, "end": 511.53, "word": " the", "probability": 0.86376953125}, {"start": 511.53, "end": 511.77, "word": " prism", "probability": 0.894287109375}, {"start": 511.77, "end": 511.95, "word": " here", "probability": 0.47265625}, {"start": 511.95, "end": 512.03, "word": " is", "probability": 0.7470703125}, {"start": 512.03, "end": 512.39, "word": " 12", "probability": 0.724609375}, {"start": 512.39, "end": 513.49, "word": " diopter", "probability": 0.5089111328125}, {"start": 513.49, "end": 513.49, "word": " prisms.", "probability": 0.701171875}, {"start": 513.59, "end": 513.87, "word": " If", "probability": 0.90283203125}, {"start": 513.87, "end": 514.11, "word": " I", "probability": 0.966796875}, {"start": 514.11, "end": 514.27, "word": " bring", "probability": 0.290771484375}, {"start": 514.27, "end": 514.41, "word": " the", "probability": 0.78271484375}, {"start": 514.41, "end": 514.65, "word": " frame", "probability": 0.515625}, {"start": 514.65, "end": 514.75, "word": " of", "probability": 0.9423828125}, {"start": 514.75, "end": 514.87, "word": " the", "probability": 0.8896484375}, {"start": 514.87, "end": 515.21, "word": " glass", "probability": 0.42724609375}, {"start": 515.21, "end": 515.91, "word": " and", "probability": 0.6904296875}, {"start": 515.91, "end": 516.21, "word": " put", "probability": 0.4501953125}, {"start": 516.21, "end": 516.37, "word": " it", "probability": 0.9482421875}, {"start": 516.37, "end": 516.55, "word": " like", "probability": 0.39013671875}, {"start": 516.55, "end": 517.15, "word": " this", "probability": 0.91357421875}], "temperature": 1.0}, {"id": 22, "seek": 54419, "start": 523.97, "end": 544.19, "text": "this part will have a base down prism if I turn it, this is the highest frame, the highest frame here if I turn it, it will have .. or let's take something that looks more like the frame of the glasses so that it is wider on one side and narrower on the other", "tokens": [11176, 644, 486, 362, 257, 3096, 760, 582, 1434, 498, 286, 1261, 309, 11, 341, 307, 264, 6343, 3920, 11, 264, 6343, 3920, 510, 498, 286, 1261, 309, 11, 309, 486, 362, 4386, 420, 718, 311, 747, 746, 300, 1542, 544, 411, 264, 3920, 295, 264, 10812, 370, 300, 309, 307, 11842, 322, 472, 1252, 293, 46751, 322, 264, 661], "avg_logprob": -0.6239753863850578, "compression_ratio": 1.7039473684210527, "no_speech_prob": 1.245737075805664e-05, "words": [{"start": 523.97, "end": 524.57, "word": "this", "probability": 0.0880126953125}, {"start": 524.57, "end": 525.01, "word": " part", "probability": 0.476318359375}, {"start": 525.01, "end": 525.31, "word": " will", "probability": 0.4755859375}, {"start": 525.31, "end": 525.61, "word": " have", "probability": 0.432861328125}, {"start": 525.61, "end": 525.89, "word": " a", "probability": 0.364990234375}, {"start": 525.89, "end": 526.15, "word": " base", "probability": 0.41796875}, {"start": 526.15, "end": 526.57, "word": " down", "probability": 0.451416015625}, {"start": 526.57, "end": 527.03, "word": " prism", "probability": 0.575439453125}, {"start": 527.03, "end": 527.71, "word": " if", "probability": 0.433837890625}, {"start": 527.71, "end": 527.85, "word": " I", "probability": 0.2369384765625}, {"start": 527.85, "end": 528.11, "word": " turn", "probability": 0.3154296875}, {"start": 528.11, "end": 528.39, "word": " it,", "probability": 0.7685546875}, {"start": 528.57, "end": 528.93, "word": " this", "probability": 0.2451171875}, {"start": 528.93, "end": 528.99, "word": " is", "probability": 0.398681640625}, {"start": 528.99, "end": 529.15, "word": " the", "probability": 0.86328125}, {"start": 529.15, "end": 529.31, "word": " highest", "probability": 0.2437744140625}, {"start": 529.31, "end": 529.81, "word": " frame,", "probability": 0.431396484375}, {"start": 529.91, "end": 530.05, "word": " the", "probability": 0.325927734375}, {"start": 530.05, "end": 530.21, "word": " highest", "probability": 0.72314453125}, {"start": 530.21, "end": 530.61, "word": " frame", "probability": 0.8173828125}, {"start": 530.61, "end": 530.95, "word": " here", "probability": 0.60205078125}, {"start": 530.95, "end": 532.21, "word": " if", "probability": 0.60498046875}, {"start": 532.21, "end": 532.31, "word": " I", "probability": 0.89453125}, {"start": 532.31, "end": 532.55, "word": " turn", "probability": 0.7763671875}, {"start": 532.55, "end": 532.99, "word": " it,", "probability": 0.93701171875}, {"start": 533.37, "end": 534.07, "word": " it", "probability": 0.5751953125}, {"start": 534.07, "end": 534.27, "word": " will", "probability": 0.8232421875}, {"start": 534.27, "end": 534.67, "word": " have", "probability": 0.8818359375}, {"start": 534.67, "end": 536.15, "word": " ..", "probability": 0.2144775390625}, {"start": 536.15, "end": 536.81, "word": " or", "probability": 0.6337890625}, {"start": 536.81, "end": 537.19, "word": " let's", "probability": 0.789306640625}, {"start": 537.19, "end": 538.17, "word": " take", "probability": 0.73974609375}, {"start": 538.17, "end": 538.55, "word": " something", "probability": 0.7607421875}, {"start": 538.55, "end": 538.77, "word": " that", "probability": 0.48291015625}, {"start": 538.77, "end": 538.79, "word": " looks", "probability": 0.411376953125}, {"start": 538.79, "end": 538.91, "word": " more", "probability": 0.61328125}, {"start": 538.91, "end": 538.91, "word": " like", "probability": 0.935546875}, {"start": 538.91, "end": 539.05, "word": " the", "probability": 0.498779296875}, {"start": 539.05, "end": 539.21, "word": " frame", "probability": 0.650390625}, {"start": 539.21, "end": 539.33, "word": " of", "probability": 0.95849609375}, {"start": 539.33, "end": 539.41, "word": " the", "probability": 0.494140625}, {"start": 539.41, "end": 539.77, "word": " glasses", "probability": 0.228271484375}, {"start": 539.77, "end": 541.33, "word": " so", "probability": 0.328857421875}, {"start": 541.33, "end": 541.45, "word": " that", "probability": 0.5673828125}, {"start": 541.45, "end": 541.77, "word": " it", "probability": 0.93603515625}, {"start": 541.77, "end": 541.77, "word": " is", "probability": 0.60009765625}, {"start": 541.77, "end": 542.11, "word": " wider", "probability": 0.355712890625}, {"start": 542.11, "end": 542.29, "word": " on", "probability": 0.78759765625}, {"start": 542.29, "end": 542.65, "word": " one", "probability": 0.9033203125}, {"start": 542.65, "end": 542.65, "word": " side", "probability": 0.84765625}, {"start": 542.65, "end": 543.07, "word": " and", "probability": 0.90966796875}, {"start": 543.07, "end": 543.43, "word": " narrower", "probability": 0.623046875}, {"start": 543.43, "end": 543.65, "word": " on", "probability": 0.93359375}, {"start": 543.65, "end": 544.03, "word": " the", "probability": 0.8076171875}, {"start": 544.03, "end": 544.19, "word": " other", "probability": 0.884765625}], "temperature": 1.0}, {"id": 23, "seek": 56477, "start": 554.53, "end": 564.77, "text": "Let's take this shape To know where is the highest frame and where is the lowest frame", "tokens": [8373, 311, 747, 341, 3909, 1407, 458, 689, 307, 264, 6343, 3920, 293, 689, 307, 264, 12437, 3920], "avg_logprob": -0.5386513220636469, "compression_ratio": 1.2112676056338028, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 554.53, "end": 554.89, "word": "Let's", "probability": 0.492431640625}, {"start": 554.89, "end": 555.03, "word": " take", "probability": 0.47607421875}, {"start": 555.03, "end": 555.27, "word": " this", "probability": 0.5908203125}, {"start": 555.27, "end": 555.77, "word": " shape", "probability": 0.81201171875}, {"start": 555.77, "end": 562.91, "word": " To", "probability": 0.257568359375}, {"start": 562.91, "end": 563.29, "word": " know", "probability": 0.69921875}, {"start": 563.29, "end": 563.55, "word": " where", "probability": 0.68212890625}, {"start": 563.55, "end": 563.61, "word": " is", "probability": 0.57763671875}, {"start": 563.61, "end": 563.65, "word": " the", "probability": 0.583984375}, {"start": 563.65, "end": 563.83, "word": " highest", "probability": 0.2318115234375}, {"start": 563.83, "end": 564.21, "word": " frame", "probability": 0.250244140625}, {"start": 564.21, "end": 564.39, "word": " and", "probability": 0.86669921875}, {"start": 564.39, "end": 564.49, "word": " where", "probability": 0.833984375}, {"start": 564.49, "end": 564.55, "word": " is", "probability": 0.89892578125}, {"start": 564.55, "end": 564.61, "word": " the", "probability": 0.857421875}, {"start": 564.61, "end": 564.77, "word": " lowest", "probability": 0.97021484375}, {"start": 564.77, "end": 564.77, "word": " frame", "probability": 0.841796875}], "temperature": 1.0}, {"id": 24, "seek": 60819, "start": 579.63, "end": 608.19, "text": "So this flat is the highest frame of the glasses and this is the lowest frame of the glasses So if we put this frame in this shape So base down prism So if we flip it like this The highest frame will be at the bottom So this will be the base up prism", "tokens": [6455, 341, 4962, 307, 264, 6343, 3920, 295, 264, 10812, 293, 341, 307, 264, 12437, 3920, 295, 264, 10812, 407, 498, 321, 829, 341, 3920, 294, 341, 3909, 407, 3096, 760, 582, 1434, 407, 498, 321, 7929, 309, 411, 341, 440, 6343, 3920, 486, 312, 412, 264, 2767, 407, 341, 486, 312, 264, 3096, 493, 582, 1434], "avg_logprob": -0.541487053550523, "compression_ratio": 1.9230769230769231, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 579.6300000000001, "end": 580.19, "word": "So", "probability": 0.40673828125}, {"start": 580.19, "end": 580.75, "word": " this", "probability": 0.482177734375}, {"start": 580.75, "end": 582.35, "word": " flat", "probability": 0.48583984375}, {"start": 582.35, "end": 582.63, "word": " is", "probability": 0.32958984375}, {"start": 582.63, "end": 583.23, "word": " the", "probability": 0.70947265625}, {"start": 583.23, "end": 583.43, "word": " highest", "probability": 0.1524658203125}, {"start": 583.43, "end": 583.77, "word": " frame", "probability": 0.4423828125}, {"start": 583.77, "end": 583.91, "word": " of", "probability": 0.7900390625}, {"start": 583.91, "end": 583.97, "word": " the", "probability": 0.70947265625}, {"start": 583.97, "end": 584.23, "word": " glasses", "probability": 0.195556640625}, {"start": 584.23, "end": 584.39, "word": " and", "probability": 0.64794921875}, {"start": 584.39, "end": 584.57, "word": " this", "probability": 0.81396484375}, {"start": 584.57, "end": 584.59, "word": " is", "probability": 0.6220703125}, {"start": 584.59, "end": 584.85, "word": " the", "probability": 0.771484375}, {"start": 584.85, "end": 584.87, "word": " lowest", "probability": 0.93359375}, {"start": 584.87, "end": 585.03, "word": " frame", "probability": 0.269775390625}, {"start": 585.03, "end": 585.29, "word": " of", "probability": 0.400390625}, {"start": 585.29, "end": 585.29, "word": " the", "probability": 0.75244140625}, {"start": 585.29, "end": 585.29, "word": " glasses", "probability": 0.765625}, {"start": 585.29, "end": 585.73, "word": " So", "probability": 0.429443359375}, {"start": 585.73, "end": 585.91, "word": " if", "probability": 0.86962890625}, {"start": 585.91, "end": 586.19, "word": " we", "probability": 0.86474609375}, {"start": 586.19, "end": 586.49, "word": " put", "probability": 0.446533203125}, {"start": 586.49, "end": 588.09, "word": " this", "probability": 0.8251953125}, {"start": 588.09, "end": 588.41, "word": " frame", "probability": 0.88525390625}, {"start": 588.41, "end": 588.55, "word": " in", "probability": 0.388916015625}, {"start": 588.55, "end": 589.27, "word": " this", "probability": 0.89013671875}, {"start": 589.27, "end": 589.27, "word": " shape", "probability": 0.426513671875}, {"start": 589.27, "end": 591.17, "word": " So", "probability": 0.35791015625}, {"start": 591.17, "end": 591.75, "word": " base", "probability": 0.142333984375}, {"start": 591.75, "end": 592.17, "word": " down", "probability": 0.6357421875}, {"start": 592.17, "end": 592.63, "word": " prism", "probability": 0.8544921875}, {"start": 592.63, "end": 593.29, "word": " So", "probability": 0.300537109375}, {"start": 593.29, "end": 593.47, "word": " if", "probability": 0.90869140625}, {"start": 593.47, "end": 593.59, "word": " we", "probability": 0.89453125}, {"start": 593.59, "end": 593.81, "word": " flip", "probability": 0.4521484375}, {"start": 593.81, "end": 597.97, "word": " it", "probability": 0.5576171875}, {"start": 597.97, "end": 598.87, "word": " like", "probability": 0.387939453125}, {"start": 598.87, "end": 600.75, "word": " this", "probability": 0.8837890625}, {"start": 600.75, "end": 604.19, "word": " The", "probability": 0.64599609375}, {"start": 604.19, "end": 604.41, "word": " highest", "probability": 0.8564453125}, {"start": 604.41, "end": 604.81, "word": " frame", "probability": 0.85791015625}, {"start": 604.81, "end": 605.07, "word": " will", "probability": 0.61962890625}, {"start": 605.07, "end": 605.29, "word": " be", "probability": 0.9091796875}, {"start": 605.29, "end": 605.41, "word": " at", "probability": 0.364013671875}, {"start": 605.41, "end": 605.67, "word": " the", "probability": 0.8486328125}, {"start": 605.67, "end": 605.97, "word": " bottom", "probability": 0.7080078125}, {"start": 605.97, "end": 606.33, "word": " So", "probability": 0.336181640625}, {"start": 606.33, "end": 606.55, "word": " this", "probability": 0.853515625}, {"start": 606.55, "end": 606.71, "word": " will", "probability": 0.68310546875}, {"start": 606.71, "end": 607.05, "word": " be", "probability": 0.9453125}, {"start": 607.05, "end": 607.17, "word": " the", "probability": 0.298095703125}, {"start": 607.17, "end": 607.45, "word": " base", "probability": 0.791015625}, {"start": 607.45, "end": 607.75, "word": " up", "probability": 0.8408203125}, {"start": 607.75, "end": 608.19, "word": " prism", "probability": 0.92626953125}], "temperature": 1.0}, {"id": 25, "seek": 62266, "start": 610.27, "end": 622.67, "text": "لو حطينا زي هيك، هيعطيني effect إما إذا كان هنا ال nose، إذا كان هنا هيكون ال nose، يعني هذه لل right eye، هيكون عندي base in the prism", "tokens": [1211, 2407, 11331, 9566, 1829, 8315, 30767, 1829, 39896, 4117, 12399, 39896, 3615, 9566, 1829, 22653, 1802, 11933, 15042, 11933, 15730, 25961, 34105, 2423, 6690, 12399, 11933, 15730, 25961, 34105, 39896, 30544, 2423, 6690, 12399, 37495, 22653, 29538, 24976, 558, 3313, 12399, 39896, 30544, 18871, 16254, 3096, 294, 264, 582, 1434], "avg_logprob": -0.2172475987328933, "compression_ratio": 1.4927536231884058, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 610.27, "end": 610.47, "word": "لو", "probability": 0.6934814453125}, {"start": 610.47, "end": 610.83, "word": " حطينا", "probability": 0.77484130859375}, {"start": 610.83, "end": 611.13, "word": " زي", "probability": 0.9306640625}, {"start": 611.13, "end": 613.13, "word": " هيك،", "probability": 0.7626139322916666}, {"start": 613.13, "end": 613.97, "word": " هيعطيني", "probability": 0.812109375}, {"start": 613.97, "end": 614.57, "word": " effect", "probability": 0.9443359375}, {"start": 614.57, "end": 614.93, "word": " إما", "probability": 0.81494140625}, {"start": 614.93, "end": 616.21, "word": " إذا", "probability": 0.821533203125}, {"start": 616.21, "end": 616.43, "word": " كان", "probability": 0.99560546875}, {"start": 616.43, "end": 616.69, "word": " هنا", "probability": 0.98974609375}, {"start": 616.69, "end": 617.17, "word": " ال", "probability": 0.66259765625}, {"start": 617.17, "end": 617.77, "word": " nose،", "probability": 0.794189453125}, {"start": 617.77, "end": 617.97, "word": " إذا", "probability": 0.951904296875}, {"start": 617.97, "end": 618.15, "word": " كان", "probability": 0.9931640625}, {"start": 618.15, "end": 618.41, "word": " هنا", "probability": 0.98681640625}, {"start": 618.41, "end": 618.85, "word": " هيكون", "probability": 0.6798095703125}, {"start": 618.85, "end": 618.99, "word": " ال", "probability": 0.95263671875}, {"start": 618.99, "end": 619.39, "word": " nose،", "probability": 0.89794921875}, {"start": 619.39, "end": 619.49, "word": " يعني", "probability": 0.9033203125}, {"start": 619.49, "end": 619.65, "word": " هذه", "probability": 0.548828125}, {"start": 619.65, "end": 619.83, "word": " لل", "probability": 0.469482421875}, {"start": 619.83, "end": 620.07, "word": " right", "probability": 0.88427734375}, {"start": 620.07, "end": 620.91, "word": " eye،", "probability": 0.96337890625}, {"start": 620.91, "end": 621.29, "word": " هيكون", "probability": 0.85546875}, {"start": 621.29, "end": 621.61, "word": " عندي", "probability": 0.86669921875}, {"start": 621.61, "end": 621.99, "word": " base", "probability": 0.6064453125}, {"start": 621.99, "end": 622.25, "word": " in", "probability": 0.93701171875}, {"start": 622.25, "end": 622.37, "word": " the", "probability": 0.72900390625}, {"start": 622.37, "end": 622.67, "word": " prism", "probability": 0.906982421875}], "temperature": 1.0}, {"id": 26, "seek": 65029, "start": 623.31, "end": 650.29, "text": "إذا كان جلبته لعكس هيكون base up prism و هذا الكلام في ال dispensing بنعرف أو بنتعرف عليه بشكل أفضل في ال dispensing هتتعرفوا عليه بشكل أفضل طيب إذا أنا ممكن لفرين ال prism ألسقه بالنضارة بشكل base up أو base down أو base in أو base out حسب اتجاه الحوال اللي أنا بدي أصلحه طيب نفرض إنه إيجادني القطعة هذه الدائرية", "tokens": [28814, 15730, 25961, 10874, 46152, 47395, 5296, 3615, 4117, 3794, 8032, 1829, 30544, 3096, 493, 582, 1434, 4032, 23758, 2423, 28820, 10943, 8978, 2423, 4920, 22481, 44945, 3615, 28480, 34051, 44945, 2655, 3615, 28480, 47356, 4724, 8592, 28820, 5551, 5172, 11242, 1211, 8978, 2423, 4920, 22481, 8032, 2655, 2655, 3615, 28480, 14407, 47356, 4724, 8592, 28820, 5551, 5172, 11242, 1211, 23032, 1829, 3555, 11933, 15730, 41850, 3714, 43020, 5296, 5172, 2288, 9957, 2423, 582, 1434, 5551, 1211, 3794, 4587, 3224, 20666, 1863, 11242, 9640, 3660, 4724, 8592, 28820, 3096, 493, 34051, 3096, 760, 34051, 3096, 294, 34051, 3096, 484, 11331, 35457, 1975, 2655, 7435, 40294, 21542, 2407, 6027, 13672, 1829, 41850, 4724, 16254, 5551, 36520, 5016, 3224, 23032, 1829, 3555, 8717, 5172, 43042, 36145, 3224, 11933, 1829, 7435, 18513, 22653, 25062, 9566, 27884, 29538, 32748, 16373, 2288, 10632], "avg_logprob": -0.17389838236699, "compression_ratio": 1.887218045112782, "no_speech_prob": 3.5762786865234375e-06, "words": [{"start": 623.31, "end": 623.65, "word": "إذا", "probability": 0.506256103515625}, {"start": 623.65, "end": 623.89, "word": " كان", "probability": 0.9892578125}, {"start": 623.89, "end": 624.35, "word": " جلبته", "probability": 0.9471028645833334}, {"start": 624.35, "end": 624.91, "word": " لعكس", "probability": 0.8756103515625}, {"start": 624.91, "end": 625.71, "word": " هيكون", "probability": 0.708984375}, {"start": 625.71, "end": 626.13, "word": " base", "probability": 0.4794921875}, {"start": 626.13, "end": 626.51, "word": " up", "probability": 0.80029296875}, {"start": 626.51, "end": 626.99, "word": " prism", "probability": 0.7064208984375}, {"start": 626.99, "end": 627.11, "word": " و", "probability": 0.466796875}, {"start": 627.11, "end": 627.27, "word": " هذا", "probability": 0.6943359375}, {"start": 627.27, "end": 627.67, "word": " الكلام", "probability": 0.9720052083333334}, {"start": 627.67, "end": 627.79, "word": " في", "probability": 0.93115234375}, {"start": 627.79, "end": 627.91, "word": " ال", "probability": 0.94580078125}, {"start": 627.91, "end": 628.49, "word": " dispensing", "probability": 0.920166015625}, {"start": 628.49, "end": 629.83, "word": " بنعرف", "probability": 0.78515625}, {"start": 629.83, "end": 630.05, "word": " أو", "probability": 0.6953125}, {"start": 630.05, "end": 630.57, "word": " بنتعرف", "probability": 0.9097900390625}, {"start": 630.57, "end": 630.79, "word": " عليه", "probability": 0.98876953125}, {"start": 630.79, "end": 631.29, "word": " بشكل", "probability": 0.994140625}, {"start": 631.29, "end": 632.29, "word": " أفضل", "probability": 0.9837646484375}, {"start": 632.29, "end": 632.43, "word": " في", "probability": 0.3515625}, {"start": 632.43, "end": 632.53, "word": " ال", "probability": 0.9853515625}, {"start": 632.53, "end": 633.17, "word": " dispensing", "probability": 0.96142578125}, {"start": 633.17, "end": 634.93, "word": " هتتعرفوا", "probability": 0.9502766927083334}, {"start": 634.93, "end": 635.13, "word": " عليه", "probability": 0.98876953125}, {"start": 635.13, "end": 635.59, "word": " بشكل", "probability": 0.99072265625}, {"start": 635.59, "end": 635.99, "word": " أفضل", "probability": 0.99365234375}, {"start": 635.99, "end": 636.41, "word": " طيب", "probability": 0.9111328125}, {"start": 636.41, "end": 636.93, "word": " إذا", "probability": 0.83203125}, {"start": 636.93, "end": 637.13, "word": " أنا", "probability": 0.779296875}, {"start": 637.13, "end": 637.51, "word": " ممكن", "probability": 0.9921875}, {"start": 637.51, "end": 637.93, "word": " لفرين", "probability": 0.643768310546875}, {"start": 637.93, "end": 638.05, "word": " ال", "probability": 0.77001953125}, {"start": 638.05, "end": 638.39, "word": " prism", "probability": 0.71337890625}, {"start": 638.39, "end": 638.95, "word": " ألسقه", "probability": 0.948828125}, {"start": 638.95, "end": 639.65, "word": " بالنضارة", "probability": 0.9634765625}, {"start": 639.65, "end": 640.13, "word": " بشكل", "probability": 0.98779296875}, {"start": 640.13, "end": 640.75, "word": " base", "probability": 0.8916015625}, {"start": 640.75, "end": 641.21, "word": " up", "probability": 0.9697265625}, {"start": 641.21, "end": 641.43, "word": " أو", "probability": 0.841796875}, {"start": 641.43, "end": 641.75, "word": " base", "probability": 0.93115234375}, {"start": 641.75, "end": 642.15, "word": " down", "probability": 0.875}, {"start": 642.15, "end": 642.39, "word": " أو", "probability": 0.96923828125}, {"start": 642.39, "end": 642.69, "word": " base", "probability": 0.9375}, {"start": 642.69, "end": 643.05, "word": " in", "probability": 0.9638671875}, {"start": 643.05, "end": 643.65, "word": " أو", "probability": 0.97509765625}, {"start": 643.65, "end": 643.95, "word": " base", "probability": 0.931640625}, {"start": 643.95, "end": 644.31, "word": " out", "probability": 0.92626953125}, {"start": 644.31, "end": 644.75, "word": " حسب", "probability": 0.98779296875}, {"start": 644.75, "end": 645.21, "word": " اتجاه", "probability": 0.9527587890625}, {"start": 645.21, "end": 645.69, "word": " الحوال", "probability": 0.79296875}, {"start": 645.69, "end": 645.83, "word": " اللي", "probability": 0.939697265625}, {"start": 645.83, "end": 646.03, "word": " أنا", "probability": 0.72314453125}, {"start": 646.03, "end": 646.29, "word": " بدي", "probability": 0.74853515625}, {"start": 646.29, "end": 646.83, "word": " أصلحه", "probability": 0.801025390625}, {"start": 646.83, "end": 647.15, "word": " طيب", "probability": 0.9549153645833334}, {"start": 647.15, "end": 647.89, "word": " نفرض", "probability": 0.9443359375}, {"start": 647.89, "end": 648.39, "word": " إنه", "probability": 0.770751953125}, {"start": 648.39, "end": 648.95, "word": " إيجادني", "probability": 0.733984375}, {"start": 648.95, "end": 649.35, "word": " القطعة", "probability": 0.9576822916666666}, {"start": 649.35, "end": 649.63, "word": " هذه", "probability": 0.67138671875}, {"start": 649.63, "end": 650.29, "word": " الدائرية", "probability": 0.959228515625}], "temperature": 1.0}, {"id": 27, "seek": 67857, "start": 651.93, "end": 678.57, "text": "I don't know where is the base. This is the outer part of the frame that tells me where is the base and how strong is the prism. It's not there. The patient brought me a piece or bought a piece that doesn't specify where is the base and where is the apex. So I can identify it with a very simple experiment. I put any target under the prism frame.", "tokens": [40, 500, 380, 458, 689, 307, 264, 3096, 13, 639, 307, 264, 10847, 644, 295, 264, 3920, 300, 5112, 385, 689, 307, 264, 3096, 293, 577, 2068, 307, 264, 582, 1434, 13, 467, 311, 406, 456, 13, 440, 4537, 3038, 385, 257, 2522, 420, 4243, 257, 2522, 300, 1177, 380, 16500, 689, 307, 264, 3096, 293, 689, 307, 264, 48115, 13, 407, 286, 393, 5876, 309, 365, 257, 588, 2199, 5120, 13, 286, 829, 604, 3779, 833, 264, 582, 1434, 3920, 13], "avg_logprob": -0.5112951936492001, "compression_ratio": 1.7525252525252526, "no_speech_prob": 6.258487701416016e-06, "words": [{"start": 651.93, "end": 652.47, "word": "I", "probability": 0.349365234375}, {"start": 652.47, "end": 652.63, "word": " don't", "probability": 0.827392578125}, {"start": 652.63, "end": 653.01, "word": " know", "probability": 0.85205078125}, {"start": 653.01, "end": 653.77, "word": " where", "probability": 0.8115234375}, {"start": 653.77, "end": 653.93, "word": " is", "probability": 0.4833984375}, {"start": 653.93, "end": 653.99, "word": " the", "probability": 0.65673828125}, {"start": 653.99, "end": 654.23, "word": " base.", "probability": 0.615234375}, {"start": 654.25, "end": 654.69, "word": " This", "probability": 0.2783203125}, {"start": 654.69, "end": 654.73, "word": " is", "probability": 0.237060546875}, {"start": 654.73, "end": 655.13, "word": " the", "probability": 0.669921875}, {"start": 655.13, "end": 655.27, "word": " outer", "probability": 0.48095703125}, {"start": 655.27, "end": 655.27, "word": " part", "probability": 0.248291015625}, {"start": 655.27, "end": 656.11, "word": " of", "probability": 0.73681640625}, {"start": 656.11, "end": 656.11, "word": " the", "probability": 0.61865234375}, {"start": 656.11, "end": 656.11, "word": " frame", "probability": 0.56982421875}, {"start": 656.11, "end": 657.53, "word": " that", "probability": 0.4072265625}, {"start": 657.53, "end": 657.89, "word": " tells", "probability": 0.1717529296875}, {"start": 657.89, "end": 658.13, "word": " me", "probability": 0.91064453125}, {"start": 658.13, "end": 658.27, "word": " where", "probability": 0.7744140625}, {"start": 658.27, "end": 658.37, "word": " is", "probability": 0.64111328125}, {"start": 658.37, "end": 658.41, "word": " the", "probability": 0.8359375}, {"start": 658.41, "end": 659.13, "word": " base", "probability": 0.78369140625}, {"start": 659.13, "end": 659.25, "word": " and", "probability": 0.57861328125}, {"start": 659.25, "end": 660.43, "word": " how", "probability": 0.37109375}, {"start": 660.43, "end": 660.77, "word": " strong", "probability": 0.533203125}, {"start": 660.77, "end": 660.91, "word": " is", "probability": 0.71875}, {"start": 660.91, "end": 660.97, "word": " the", "probability": 0.8359375}, {"start": 660.97, "end": 661.31, "word": " prism.", "probability": 0.896484375}, {"start": 663.33, "end": 663.97, "word": " It's", "probability": 0.3896484375}, {"start": 663.97, "end": 664.07, "word": " not", "probability": 0.88330078125}, {"start": 664.07, "end": 664.57, "word": " there.", "probability": 0.238037109375}, {"start": 665.01, "end": 665.47, "word": " The", "probability": 0.65771484375}, {"start": 665.47, "end": 665.71, "word": " patient", "probability": 0.908203125}, {"start": 665.71, "end": 665.75, "word": " brought", "probability": 0.4853515625}, {"start": 665.75, "end": 666.21, "word": " me", "probability": 0.352783203125}, {"start": 666.21, "end": 666.21, "word": " a", "probability": 0.9150390625}, {"start": 666.21, "end": 666.21, "word": " piece", "probability": 0.7431640625}, {"start": 666.21, "end": 666.77, "word": " or", "probability": 0.3076171875}, {"start": 666.77, "end": 667.07, "word": " bought", "probability": 0.708984375}, {"start": 667.07, "end": 667.47, "word": " a", "probability": 0.916015625}, {"start": 667.47, "end": 667.47, "word": " piece", "probability": 0.9130859375}, {"start": 667.47, "end": 667.65, "word": " that", "probability": 0.3564453125}, {"start": 667.65, "end": 668.49, "word": " doesn't", "probability": 0.6474609375}, {"start": 668.49, "end": 669.09, "word": " specify", "probability": 0.470458984375}, {"start": 669.09, "end": 669.45, "word": " where", "probability": 0.85986328125}, {"start": 669.45, "end": 669.55, "word": " is", "probability": 0.69140625}, {"start": 669.55, "end": 669.63, "word": " the", "probability": 0.9111328125}, {"start": 669.63, "end": 669.91, "word": " base", "probability": 0.8876953125}, {"start": 669.91, "end": 670.05, "word": " and", "probability": 0.7431640625}, {"start": 670.05, "end": 670.21, "word": " where", "probability": 0.7080078125}, {"start": 670.21, "end": 670.33, "word": " is", "probability": 0.876953125}, {"start": 670.33, "end": 670.65, "word": " the", "probability": 0.90087890625}, {"start": 670.65, "end": 671.03, "word": " apex.", "probability": 0.8046875}, {"start": 671.13, "end": 671.25, "word": " So", "probability": 0.375244140625}, {"start": 671.25, "end": 671.43, "word": " I", "probability": 0.8056640625}, {"start": 671.43, "end": 671.75, "word": " can", "probability": 0.8759765625}, {"start": 671.75, "end": 672.17, "word": " identify", "probability": 0.397216796875}, {"start": 672.17, "end": 672.59, "word": " it", "probability": 0.77587890625}, {"start": 672.59, "end": 673.19, "word": " with", "probability": 0.53369140625}, {"start": 673.19, "end": 673.37, "word": " a", "probability": 0.943359375}, {"start": 673.37, "end": 673.61, "word": " very", "probability": 0.70068359375}, {"start": 673.61, "end": 674.05, "word": " simple", "probability": 0.9521484375}, {"start": 674.05, "end": 674.15, "word": " experiment.", "probability": 0.69677734375}, {"start": 675.29, "end": 675.45, "word": " I", "probability": 0.94970703125}, {"start": 675.45, "end": 675.61, "word": " put", "probability": 0.560546875}, {"start": 675.61, "end": 675.93, "word": " any", "probability": 0.708984375}, {"start": 675.93, "end": 676.39, "word": " target", "probability": 0.9423828125}, {"start": 676.39, "end": 676.99, "word": " under", "probability": 0.69482421875}, {"start": 676.99, "end": 677.81, "word": " the", "probability": 0.802734375}, {"start": 677.81, "end": 678.57, "word": " prism", "probability": 0.56146240234375}, {"start": 678.57, "end": 678.57, "word": " frame.", "probability": 0.468994140625}], "temperature": 1.0}, {"id": 28, "seek": 70708, "start": 679.0, "end": 707.08, "text": "This is a Fresnel prism, which means prism, so this is a target coming horizontally I put a piece of Fresnel prism Of course it's here, but this is just to clarify the experiment We see that the image or part of the pencil, which is the target that I put, tilts upwards, the image always tilts towards the apex As long as it tilts upwards compared to the rest of the pencil, then the apex is up, then the base is down", "tokens": [5723, 307, 257, 42618, 6396, 582, 1434, 11, 597, 1355, 582, 1434, 11, 370, 341, 307, 257, 3779, 1348, 33796, 286, 829, 257, 2522, 295, 42618, 6396, 582, 1434, 2720, 1164, 309, 311, 510, 11, 457, 341, 307, 445, 281, 17594, 264, 5120, 492, 536, 300, 264, 3256, 420, 644, 295, 264, 10985, 11, 597, 307, 264, 3779, 300, 286, 829, 11, 8440, 1373, 22167, 11, 264, 3256, 1009, 8440, 1373, 3030, 264, 48115, 1018, 938, 382, 309, 8440, 1373, 22167, 5347, 281, 264, 1472, 295, 264, 10985, 11, 550, 264, 48115, 307, 493, 11, 550, 264, 3096, 307, 760], "avg_logprob": -0.5213490217038901, "compression_ratio": 1.8289473684210527, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 679.0, "end": 679.3, "word": "This", "probability": 0.241455078125}, {"start": 679.3, "end": 679.42, "word": " is", "probability": 0.82666015625}, {"start": 679.42, "end": 679.78, "word": " a", "probability": 0.33642578125}, {"start": 679.78, "end": 680.06, "word": " Fresnel", "probability": 0.6739501953125}, {"start": 680.06, "end": 680.4, "word": " prism,", "probability": 0.6973876953125}, {"start": 680.44, "end": 680.56, "word": " which", "probability": 0.358154296875}, {"start": 680.56, "end": 680.64, "word": " means", "probability": 0.70751953125}, {"start": 680.64, "end": 681.04, "word": " prism,", "probability": 0.7001953125}, {"start": 681.16, "end": 681.22, "word": " so", "probability": 0.38134765625}, {"start": 681.22, "end": 681.68, "word": " this", "probability": 0.5}, {"start": 681.68, "end": 681.72, "word": " is", "probability": 0.59765625}, {"start": 681.72, "end": 681.8, "word": " a", "probability": 0.6904296875}, {"start": 681.8, "end": 682.1, "word": " target", "probability": 0.5029296875}, {"start": 682.1, "end": 682.34, "word": " coming", "probability": 0.363525390625}, {"start": 682.34, "end": 682.72, "word": " horizontally", "probability": 0.63232421875}, {"start": 682.72, "end": 683.58, "word": " I", "probability": 0.48095703125}, {"start": 683.58, "end": 684.02, "word": " put", "probability": 0.4794921875}, {"start": 684.02, "end": 684.4, "word": " a", "probability": 0.43701171875}, {"start": 684.4, "end": 684.58, "word": " piece", "probability": 0.55810546875}, {"start": 684.58, "end": 684.76, "word": " of", "probability": 0.9560546875}, {"start": 684.76, "end": 685.18, "word": " Fresnel", "probability": 0.859375}, {"start": 685.18, "end": 685.66, "word": " prism", "probability": 0.89990234375}, {"start": 685.66, "end": 686.06, "word": " Of", "probability": 0.30078125}, {"start": 686.06, "end": 686.86, "word": " course", "probability": 0.94482421875}, {"start": 686.86, "end": 687.12, "word": " it's", "probability": 0.434814453125}, {"start": 687.12, "end": 687.32, "word": " here,", "probability": 0.32568359375}, {"start": 687.42, "end": 687.72, "word": " but", "probability": 0.42578125}, {"start": 687.72, "end": 687.98, "word": " this", "probability": 0.49169921875}, {"start": 687.98, "end": 688.0, "word": " is", "probability": 0.82421875}, {"start": 688.0, "end": 688.54, "word": " just", "probability": 0.4326171875}, {"start": 688.54, "end": 688.58, "word": " to", "probability": 0.7294921875}, {"start": 688.58, "end": 688.9, "word": " clarify", "probability": 0.701171875}, {"start": 688.9, "end": 689.08, "word": " the", "probability": 0.798828125}, {"start": 689.08, "end": 689.48, "word": " experiment", "probability": 0.70703125}, {"start": 689.48, "end": 691.14, "word": " We", "probability": 0.638671875}, {"start": 691.14, "end": 691.52, "word": " see", "probability": 0.8134765625}, {"start": 691.52, "end": 692.26, "word": " that", "probability": 0.5986328125}, {"start": 692.26, "end": 692.38, "word": " the", "probability": 0.61669921875}, {"start": 692.38, "end": 692.74, "word": " image", "probability": 0.5400390625}, {"start": 692.74, "end": 693.5, "word": " or", "probability": 0.58935546875}, {"start": 693.5, "end": 693.82, "word": " part", "probability": 0.72509765625}, {"start": 693.82, "end": 694.04, "word": " of", "probability": 0.9462890625}, {"start": 694.04, "end": 694.24, "word": " the", "probability": 0.873046875}, {"start": 694.24, "end": 694.6, "word": " pencil,", "probability": 0.0204315185546875}, {"start": 695.32, "end": 695.52, "word": " which", "probability": 0.8427734375}, {"start": 695.52, "end": 695.58, "word": " is", "probability": 0.919921875}, {"start": 695.58, "end": 695.68, "word": " the", "probability": 0.89697265625}, {"start": 695.68, "end": 696.0, "word": " target", "probability": 0.94677734375}, {"start": 696.0, "end": 696.14, "word": " that", "probability": 0.52734375}, {"start": 696.14, "end": 696.28, "word": " I", "probability": 0.98095703125}, {"start": 696.28, "end": 696.64, "word": " put,", "probability": 0.7451171875}, {"start": 697.2, "end": 697.5, "word": " tilts", "probability": 0.5057220458984375}, {"start": 697.5, "end": 698.14, "word": " upwards,", "probability": 0.28173828125}, {"start": 698.28, "end": 698.76, "word": " the", "probability": 0.61181640625}, {"start": 698.76, "end": 698.96, "word": " image", "probability": 0.75390625}, {"start": 698.96, "end": 699.08, "word": " always", "probability": 0.59521484375}, {"start": 699.08, "end": 699.4, "word": " tilts", "probability": 0.940673828125}, {"start": 699.4, "end": 699.94, "word": " towards", "probability": 0.438232421875}, {"start": 699.94, "end": 700.12, "word": " the", "probability": 0.6982421875}, {"start": 700.12, "end": 700.38, "word": " apex", "probability": 0.83154296875}, {"start": 700.38, "end": 701.04, "word": " As", "probability": 0.5048828125}, {"start": 701.04, "end": 701.24, "word": " long", "probability": 0.8916015625}, {"start": 701.24, "end": 701.24, "word": " as", "probability": 0.96875}, {"start": 701.24, "end": 701.34, "word": " it", "probability": 0.81201171875}, {"start": 701.34, "end": 701.6, "word": " tilts", "probability": 0.899169921875}, {"start": 701.6, "end": 702.22, "word": " upwards", "probability": 0.53271484375}, {"start": 702.22, "end": 702.9, "word": " compared", "probability": 0.69873046875}, {"start": 702.9, "end": 703.22, "word": " to", "probability": 0.94482421875}, {"start": 703.22, "end": 703.6, "word": " the", "probability": 0.8330078125}, {"start": 703.6, "end": 703.6, "word": " rest", "probability": 0.429931640625}, {"start": 703.6, "end": 703.66, "word": " of", "probability": 0.974609375}, {"start": 703.66, "end": 703.78, "word": " the", "probability": 0.92236328125}, {"start": 703.78, "end": 704.18, "word": " pencil,", "probability": 0.8740234375}, {"start": 704.82, "end": 705.1, "word": " then", "probability": 0.55126953125}, {"start": 705.1, "end": 705.24, "word": " the", "probability": 0.91455078125}, {"start": 705.24, "end": 705.54, "word": " apex", "probability": 0.8427734375}, {"start": 705.54, "end": 705.68, "word": " is", "probability": 0.6181640625}, {"start": 705.68, "end": 705.82, "word": " up,", "probability": 0.5966796875}, {"start": 706.12, "end": 706.36, "word": " then", "probability": 0.58984375}, {"start": 706.36, "end": 706.54, "word": " the", "probability": 0.87353515625}, {"start": 706.54, "end": 706.76, "word": " base", "probability": 0.8828125}, {"start": 706.76, "end": 706.86, "word": " is", "probability": 0.87890625}, {"start": 706.86, "end": 707.08, "word": " down", "probability": 0.880859375}], "temperature": 1.0}, {"id": 29, "seek": 73077, "start": 707.77, "end": 730.77, "text": "So this is the base, and so on, so I can know the direction of the apex from the base by putting any target and look at it This Fresnel prism, how do I want to stick it in the glasses? Let's go to the magnifying glass Of course, I stick it, of course it has a flat edge Flat edge here in the drawing, flat edge here", "tokens": [6455, 341, 307, 264, 3096, 11, 293, 370, 322, 11, 370, 286, 393, 458, 264, 3513, 295, 264, 48115, 490, 264, 3096, 538, 3372, 604, 3779, 293, 574, 412, 309, 639, 42618, 6396, 582, 1434, 11, 577, 360, 286, 528, 281, 2897, 309, 294, 264, 10812, 30, 961, 311, 352, 281, 264, 4944, 5489, 4276, 2720, 1164, 11, 286, 2897, 309, 11, 295, 1164, 309, 575, 257, 4962, 4691, 36172, 4691, 510, 294, 264, 6316, 11, 4962, 4691, 510], "avg_logprob": -0.5121093645691872, "compression_ratio": 1.6071428571428572, "no_speech_prob": 2.682209014892578e-06, "words": [{"start": 707.77, "end": 708.13, "word": "So", "probability": 0.36328125}, {"start": 708.13, "end": 708.13, "word": " this", "probability": 0.470947265625}, {"start": 708.13, "end": 708.13, "word": " is", "probability": 0.86328125}, {"start": 708.13, "end": 708.35, "word": " the", "probability": 0.78759765625}, {"start": 708.35, "end": 708.59, "word": " base,", "probability": 0.73388671875}, {"start": 708.89, "end": 709.03, "word": " and", "probability": 0.59326171875}, {"start": 709.03, "end": 709.25, "word": " so", "probability": 0.6982421875}, {"start": 709.25, "end": 709.35, "word": " on,", "probability": 0.80615234375}, {"start": 709.43, "end": 709.51, "word": " so", "probability": 0.6787109375}, {"start": 709.51, "end": 709.67, "word": " I", "probability": 0.93310546875}, {"start": 709.67, "end": 709.81, "word": " can", "probability": 0.8173828125}, {"start": 709.81, "end": 710.11, "word": " know", "probability": 0.51708984375}, {"start": 710.11, "end": 710.33, "word": " the", "probability": 0.411376953125}, {"start": 710.33, "end": 710.55, "word": " direction", "probability": 0.6806640625}, {"start": 710.55, "end": 711.91, "word": " of", "probability": 0.89892578125}, {"start": 711.91, "end": 711.97, "word": " the", "probability": 0.4892578125}, {"start": 711.97, "end": 712.23, "word": " apex", "probability": 0.7802734375}, {"start": 712.23, "end": 712.49, "word": " from", "probability": 0.60986328125}, {"start": 712.49, "end": 712.67, "word": " the", "probability": 0.89697265625}, {"start": 712.67, "end": 713.01, "word": " base", "probability": 0.880859375}, {"start": 713.01, "end": 713.41, "word": " by", "probability": 0.74462890625}, {"start": 713.41, "end": 714.09, "word": " putting", "probability": 0.6572265625}, {"start": 714.09, "end": 714.35, "word": " any", "probability": 0.8486328125}, {"start": 714.35, "end": 714.73, "word": " target", "probability": 0.95458984375}, {"start": 714.73, "end": 714.89, "word": " and", "probability": 0.849609375}, {"start": 714.89, "end": 715.29, "word": " look", "probability": 0.1785888671875}, {"start": 715.29, "end": 715.85, "word": " at", "probability": 0.69970703125}, {"start": 715.85, "end": 716.05, "word": " it", "probability": 0.892578125}, {"start": 716.05, "end": 716.89, "word": " This", "probability": 0.2161865234375}, {"start": 716.89, "end": 717.41, "word": " Fresnel", "probability": 0.697265625}, {"start": 717.41, "end": 717.75, "word": " prism,", "probability": 0.7242431640625}, {"start": 717.87, "end": 717.99, "word": " how", "probability": 0.8818359375}, {"start": 717.99, "end": 718.29, "word": " do", "probability": 0.45947265625}, {"start": 718.29, "end": 718.29, "word": " I", "probability": 0.97265625}, {"start": 718.29, "end": 718.39, "word": " want", "probability": 0.353515625}, {"start": 718.39, "end": 718.71, "word": " to", "probability": 0.95263671875}, {"start": 718.71, "end": 718.73, "word": " stick", "probability": 0.61376953125}, {"start": 718.73, "end": 718.89, "word": " it", "probability": 0.87255859375}, {"start": 718.89, "end": 719.01, "word": " in", "probability": 0.53173828125}, {"start": 719.01, "end": 719.15, "word": " the", "probability": 0.69384765625}, {"start": 719.15, "end": 719.55, "word": " glasses?", "probability": 0.3076171875}, {"start": 720.37, "end": 720.49, "word": " Let's", "probability": 0.638916015625}, {"start": 720.49, "end": 720.65, "word": " go", "probability": 0.6044921875}, {"start": 720.65, "end": 720.81, "word": " to", "probability": 0.60693359375}, {"start": 720.81, "end": 721.23, "word": " the", "probability": 0.434814453125}, {"start": 721.23, "end": 721.53, "word": " magnifying", "probability": 0.4154052734375}, {"start": 721.53, "end": 721.53, "word": " glass", "probability": 0.9248046875}, {"start": 721.53, "end": 722.55, "word": " Of", "probability": 0.57763671875}, {"start": 722.55, "end": 722.79, "word": " course,", "probability": 0.9619140625}, {"start": 723.39, "end": 723.61, "word": " I", "probability": 0.912109375}, {"start": 723.61, "end": 724.27, "word": " stick", "probability": 0.6572265625}, {"start": 724.27, "end": 724.57, "word": " it,", "probability": 0.91455078125}, {"start": 724.63, "end": 724.81, "word": " of", "probability": 0.47509765625}, {"start": 724.81, "end": 724.87, "word": " course", "probability": 0.96337890625}, {"start": 724.87, "end": 725.05, "word": " it", "probability": 0.529296875}, {"start": 725.05, "end": 725.21, "word": " has", "probability": 0.931640625}, {"start": 725.21, "end": 725.83, "word": " a", "probability": 0.71533203125}, {"start": 725.83, "end": 725.83, "word": " flat", "probability": 0.1885986328125}, {"start": 725.83, "end": 726.51, "word": " edge", "probability": 0.64404296875}, {"start": 726.51, "end": 728.55, "word": " Flat", "probability": 0.35400390625}, {"start": 728.55, "end": 728.83, "word": " edge", "probability": 0.432861328125}, {"start": 728.83, "end": 729.05, "word": " here", "probability": 0.77783203125}, {"start": 729.05, "end": 729.27, "word": " in", "probability": 0.5712890625}, {"start": 729.27, "end": 729.35, "word": " the", "probability": 0.56591796875}, {"start": 729.35, "end": 729.59, "word": " drawing,", "probability": 0.76611328125}, {"start": 729.75, "end": 730.09, "word": " flat", "probability": 0.51708984375}, {"start": 730.09, "end": 730.31, "word": " edge", "probability": 0.93359375}, {"start": 730.31, "end": 730.77, "word": " here", "probability": 0.7001953125}], "temperature": 1.0}, {"id": 30, "seek": 73742, "start": 732.64, "end": 737.42, "text": "and a protruding edge called the prisma. The protruding edge is what begins to stick to the surface of the rear glass.", "tokens": [474, 257, 45468, 33703, 4691, 1219, 264, 582, 14795, 13, 440, 45468, 33703, 4691, 307, 437, 7338, 281, 2897, 281, 264, 3753, 295, 264, 8250, 4276, 13], "avg_logprob": -0.7706473129136222, "compression_ratio": 1.3258426966292134, "no_speech_prob": 3.039836883544922e-06, "words": [{"start": 732.64, "end": 732.78, "word": "and", "probability": 0.10369873046875}, {"start": 732.78, "end": 732.94, "word": " a", "probability": 0.384765625}, {"start": 732.94, "end": 733.7, "word": " protruding", "probability": 0.4375}, {"start": 733.7, "end": 733.7, "word": " edge", "probability": 0.1142578125}, {"start": 733.7, "end": 733.94, "word": " called", "probability": 0.2098388671875}, {"start": 733.94, "end": 734.1, "word": " the", "probability": 0.375732421875}, {"start": 734.1, "end": 734.42, "word": " prisma.", "probability": 0.3458251953125}, {"start": 734.64, "end": 734.8, "word": " The", "probability": 0.57568359375}, {"start": 734.8, "end": 735.56, "word": " protruding", "probability": 0.921875}, {"start": 735.56, "end": 735.56, "word": " edge", "probability": 0.87353515625}, {"start": 735.56, "end": 735.7, "word": " is", "probability": 0.6572265625}, {"start": 735.7, "end": 735.88, "word": " what", "probability": 0.642578125}, {"start": 735.88, "end": 736.06, "word": " begins", "probability": 0.31591796875}, {"start": 736.06, "end": 736.28, "word": " to", "probability": 0.97216796875}, {"start": 736.28, "end": 736.46, "word": " stick", "probability": 0.35546875}, {"start": 736.46, "end": 736.66, "word": " to", "probability": 0.818359375}, {"start": 736.66, "end": 736.78, "word": " the", "probability": 0.93359375}, {"start": 736.78, "end": 736.92, "word": " surface", "probability": 0.334716796875}, {"start": 736.92, "end": 737.06, "word": " of", "probability": 0.96044921875}, {"start": 737.06, "end": 737.08, "word": " the", "probability": 0.92578125}, {"start": 737.08, "end": 737.24, "word": " rear", "probability": 0.591796875}, {"start": 737.24, "end": 737.42, "word": " glass.", "probability": 0.229248046875}], "temperature": 1.0}, {"id": 31, "seek": 76667, "start": 738.65, "end": 766.67, "text": "فى سطح النضارة الخالفى والحفة المتعرجة اللى هى لبرزمات بدها تواجه عين المريض بدها تواجه عين المريض اذا هو يلصق على السطح الخالفى للنضارة اول حاجة بجيب القطعة الدائرية بلصقها على السطح الخالفى و بجلم بسيط هيك احدد طبعا بده احطها باتجاه ال base اللى انا بديها اما base up او base down او base in ناحية ال nose او base out ناحية بعيدا عن", "tokens": [5172, 7578, 8608, 9566, 5016, 28239, 11242, 9640, 3660, 33962, 6027, 5172, 7578, 4032, 6027, 5016, 5172, 3660, 9673, 2655, 3615, 2288, 7435, 3660, 13672, 7578, 8032, 7578, 5296, 26890, 11622, 2304, 9307, 47525, 11296, 33427, 26108, 3224, 6225, 9957, 9673, 16572, 11242, 47525, 11296, 33427, 26108, 3224, 6225, 9957, 9673, 16572, 11242, 1975, 15730, 31439, 7251, 1211, 9381, 4587, 15844, 21136, 9566, 5016, 33962, 6027, 5172, 7578, 24976, 1863, 11242, 9640, 3660, 1975, 12610, 11331, 26108, 3660, 4724, 7435, 1829, 3555, 25062, 9566, 27884, 32748, 16373, 2288, 10632, 4724, 1211, 9381, 4587, 11296, 15844, 21136, 9566, 5016, 33962, 6027, 5172, 7578, 4032, 4724, 7435, 19528, 4724, 3794, 1829, 9566, 39896, 4117, 1975, 24401, 3215, 23032, 3555, 3615, 995, 47525, 3224, 1975, 5016, 9566, 11296, 4724, 9307, 7435, 40294, 2423, 3096, 13672, 7578, 1975, 8315, 4724, 16254, 11296, 1975, 15042, 3096, 493, 1975, 2407, 3096, 760, 1975, 2407, 3096, 294, 8717, 39319, 10632, 2423, 6690, 1975, 2407, 3096, 484, 8717, 39319, 10632, 45030, 25708, 995, 18871], "avg_logprob": -0.17702096236680082, "compression_ratio": 2.2140077821011674, "no_speech_prob": 1.424551010131836e-05, "words": [{"start": 738.65, "end": 738.89, "word": "فى", "probability": 0.5390625}, {"start": 738.89, "end": 739.11, "word": " سطح", "probability": 0.9560546875}, {"start": 739.11, "end": 739.59, "word": " النضارة", "probability": 0.8973388671875}, {"start": 739.59, "end": 740.07, "word": " الخالفى", "probability": 0.78125}, {"start": 740.07, "end": 741.07, "word": " والحفة", "probability": 0.6669921875}, {"start": 741.07, "end": 741.95, "word": " المتعرجة", "probability": 0.843994140625}, {"start": 741.95, "end": 742.09, "word": " اللى", "probability": 0.910400390625}, {"start": 742.09, "end": 742.21, "word": " هى", "probability": 0.923828125}, {"start": 742.21, "end": 742.71, "word": " لبرزمات", "probability": 0.728662109375}, {"start": 742.71, "end": 742.93, "word": " بدها", "probability": 0.5426025390625}, {"start": 742.93, "end": 743.47, "word": " تواجه", "probability": 0.9171549479166666}, {"start": 743.47, "end": 743.79, "word": " عين", "probability": 0.807861328125}, {"start": 743.79, "end": 744.37, "word": " المريض", "probability": 0.9664713541666666}, {"start": 744.37, "end": 744.63, "word": " بدها", "probability": 0.85205078125}, {"start": 744.63, "end": 745.03, "word": " تواجه", "probability": 0.9713541666666666}, {"start": 745.03, "end": 745.35, "word": " عين", "probability": 0.991943359375}, {"start": 745.35, "end": 746.31, "word": " المريض", "probability": 0.9889322916666666}, {"start": 746.31, "end": 746.51, "word": " اذا", "probability": 0.6671142578125}, {"start": 746.51, "end": 746.71, "word": " هو", "probability": 0.75048828125}, {"start": 746.71, "end": 747.21, "word": " يلصق", "probability": 0.80157470703125}, {"start": 747.21, "end": 747.35, "word": " على", "probability": 0.6953125}, {"start": 747.35, "end": 747.69, "word": " السطح", "probability": 0.95654296875}, {"start": 747.69, "end": 748.77, "word": " الخالفى", "probability": 0.9385986328125}, {"start": 748.77, "end": 750.17, "word": " للنضارة", "probability": 0.89921875}, {"start": 750.17, "end": 750.53, "word": " اول", "probability": 0.635986328125}, {"start": 750.53, "end": 750.87, "word": " حاجة", "probability": 0.9549153645833334}, {"start": 750.87, "end": 751.19, "word": " بجيب", "probability": 0.9742431640625}, {"start": 751.19, "end": 751.59, "word": " القطعة", "probability": 0.9744466145833334}, {"start": 751.59, "end": 752.23, "word": " الدائرية", "probability": 0.968505859375}, {"start": 752.23, "end": 753.07, "word": " بلصقها", "probability": 0.773876953125}, {"start": 753.07, "end": 753.59, "word": " على", "probability": 0.88916015625}, {"start": 753.59, "end": 753.93, "word": " السطح", "probability": 0.9923502604166666}, {"start": 753.93, "end": 754.45, "word": " الخالفى", "probability": 0.9393310546875}, {"start": 754.45, "end": 754.61, "word": " و", "probability": 0.68115234375}, {"start": 754.61, "end": 755.07, "word": " بجلم", "probability": 0.78955078125}, {"start": 755.07, "end": 755.57, "word": " بسيط", "probability": 0.9930419921875}, {"start": 755.57, "end": 755.79, "word": " هيك", "probability": 0.6849365234375}, {"start": 755.79, "end": 757.03, "word": " احدد", "probability": 0.771484375}, {"start": 757.03, "end": 757.33, "word": " طبعا", "probability": 0.9715576171875}, {"start": 757.33, "end": 757.53, "word": " بده", "probability": 0.4937744140625}, {"start": 757.53, "end": 757.85, "word": " احطها", "probability": 0.8436279296875}, {"start": 757.85, "end": 758.33, "word": " باتجاه", "probability": 0.895263671875}, {"start": 758.33, "end": 758.49, "word": " ال", "probability": 0.98828125}, {"start": 758.49, "end": 758.69, "word": " base", "probability": 0.87060546875}, {"start": 758.69, "end": 758.85, "word": " اللى", "probability": 0.9931640625}, {"start": 758.85, "end": 759.01, "word": " انا", "probability": 0.89990234375}, {"start": 759.01, "end": 759.41, "word": " بديها", "probability": 0.8709309895833334}, {"start": 759.41, "end": 759.63, "word": " اما", "probability": 0.861572265625}, {"start": 759.63, "end": 759.95, "word": " base", "probability": 0.9169921875}, {"start": 759.95, "end": 760.29, "word": " up", "probability": 0.9755859375}, {"start": 760.29, "end": 760.51, "word": " او", "probability": 0.90380859375}, {"start": 760.51, "end": 760.77, "word": " base", "probability": 0.9296875}, {"start": 760.77, "end": 761.13, "word": " down", "probability": 0.884765625}, {"start": 761.13, "end": 761.37, "word": " او", "probability": 0.986572265625}, {"start": 761.37, "end": 761.61, "word": " base", "probability": 0.94189453125}, {"start": 761.61, "end": 761.87, "word": " in", "probability": 0.9658203125}, {"start": 761.87, "end": 762.15, "word": " ناحية", "probability": 0.9080403645833334}, {"start": 762.15, "end": 762.33, "word": " ال", "probability": 0.90771484375}, {"start": 762.33, "end": 762.57, "word": " nose", "probability": 0.8857421875}, {"start": 762.57, "end": 763.17, "word": " او", "probability": 0.969970703125}, {"start": 763.17, "end": 763.51, "word": " base", "probability": 0.91259765625}, {"start": 763.51, "end": 764.87, "word": " out", "probability": 0.91845703125}, {"start": 764.87, "end": 765.69, "word": " ناحية", "probability": 0.8479817708333334}, {"start": 765.69, "end": 766.43, "word": " بعيدا", "probability": 0.892578125}, {"start": 766.43, "end": 766.67, "word": " عن", "probability": 0.9833984375}], "temperature": 1.0}, {"id": 32, "seek": 78237, "start": 768.11, "end": 782.37, "text": "الأنف بعيدا عن الانف. كيف اعرف ال .. ال base؟ بشوف وان الصورة راحت، ال .. ال base عكس الصورة، عكس الصورة، فبلثقها حسب ال .. الانف طبعا بعد ما حددت بالجلم، هاي التحديد بالجلم، بقى جوس بالامجاص", "tokens": [6027, 33456, 5172, 45030, 25708, 995, 18871, 2423, 7649, 5172, 13, 9122, 33911, 1975, 3615, 28480, 2423, 4386, 2423, 3096, 22807, 4724, 8592, 38688, 4032, 7649, 31767, 13063, 3660, 12602, 995, 33753, 12399, 2423, 4386, 2423, 3096, 6225, 4117, 3794, 31767, 13063, 3660, 12399, 6225, 4117, 3794, 31767, 13063, 3660, 12399, 6156, 3555, 1211, 12984, 4587, 11296, 11331, 35457, 2423, 4386, 2423, 7649, 5172, 23032, 3555, 3615, 995, 39182, 19446, 11331, 3215, 3215, 2655, 20666, 7435, 19528, 12399, 8032, 47302, 16712, 5016, 16254, 3215, 20666, 7435, 19528, 12399, 4724, 4587, 7578, 10874, 41779, 20666, 10943, 7435, 33546], "avg_logprob": -0.20153060950795, "compression_ratio": 1.8857142857142857, "no_speech_prob": 0.00015056133270263672, "words": [{"start": 768.11, "end": 768.83, "word": "الأنف", "probability": 0.726806640625}, {"start": 768.83, "end": 769.23, "word": " بعيدا", "probability": 0.807861328125}, {"start": 769.23, "end": 769.41, "word": " عن", "probability": 0.9736328125}, {"start": 769.41, "end": 769.79, "word": " الانف.", "probability": 0.7941080729166666}, {"start": 769.97, "end": 770.25, "word": " كيف", "probability": 0.867919921875}, {"start": 770.25, "end": 770.61, "word": " اعرف", "probability": 0.83251953125}, {"start": 770.61, "end": 770.91, "word": " ال", "probability": 0.990234375}, {"start": 770.91, "end": 770.91, "word": " ..", "probability": 0.828125}, {"start": 770.91, "end": 771.15, "word": " ال", "probability": 0.95166015625}, {"start": 771.15, "end": 771.63, "word": " base؟", "probability": 0.6824951171875}, {"start": 771.63, "end": 771.91, "word": " بشوف", "probability": 0.986328125}, {"start": 771.91, "end": 772.09, "word": " وان", "probability": 0.648193359375}, {"start": 772.09, "end": 772.45, "word": " الصورة", "probability": 0.9656575520833334}, {"start": 772.45, "end": 773.07, "word": " راحت،", "probability": 0.72003173828125}, {"start": 773.07, "end": 773.21, "word": " ال", "probability": 0.98779296875}, {"start": 773.21, "end": 773.33, "word": " ..", "probability": 0.7509765625}, {"start": 773.33, "end": 773.49, "word": " ال", "probability": 0.9814453125}, {"start": 773.49, "end": 773.75, "word": " base", "probability": 0.91796875}, {"start": 773.75, "end": 774.11, "word": " عكس", "probability": 0.9847005208333334}, {"start": 774.11, "end": 774.81, "word": " الصورة،", "probability": 0.9295654296875}, {"start": 774.81, "end": 775.19, "word": " عكس", "probability": 0.9933268229166666}, {"start": 775.19, "end": 775.91, "word": " الصورة،", "probability": 0.889404296875}, {"start": 775.91, "end": 776.55, "word": " فبلثقها", "probability": 0.8159993489583334}, {"start": 776.55, "end": 776.93, "word": " حسب", "probability": 0.987060546875}, {"start": 776.93, "end": 777.19, "word": " ال", "probability": 0.7392578125}, {"start": 777.19, "end": 777.19, "word": " ..", "probability": 0.8505859375}, {"start": 777.19, "end": 777.55, "word": " الانف", "probability": 0.6346842447916666}, {"start": 777.55, "end": 778.13, "word": " طبعا", "probability": 0.8807373046875}, {"start": 778.13, "end": 778.37, "word": " بعد", "probability": 0.955078125}, {"start": 778.37, "end": 778.51, "word": " ما", "probability": 0.912109375}, {"start": 778.51, "end": 779.13, "word": " حددت", "probability": 0.981689453125}, {"start": 779.13, "end": 779.79, "word": " بالجلم،", "probability": 0.9703369140625}, {"start": 779.79, "end": 779.93, "word": " هاي", "probability": 0.7177734375}, {"start": 779.93, "end": 780.43, "word": " التحديد", "probability": 0.8681640625}, {"start": 780.43, "end": 781.31, "word": " بالجلم،", "probability": 0.9600830078125}, {"start": 781.31, "end": 781.51, "word": " بقى", "probability": 0.9850260416666666}, {"start": 781.51, "end": 781.73, "word": " جوس", "probability": 0.60076904296875}, {"start": 781.73, "end": 782.37, "word": " بالامجاص", "probability": 0.7449951171875}], "temperature": 1.0}, {"id": 33, "seek": 80505, "start": 783.79, "end": 805.05, "text": "حسب التحديد عشان يناسب إطار النضارة و بنعمها بشكل كويس تمام؟ بعدين باجي بقى بخ ميه على السطح الخلفي أو بحط على أصبعي نقط .. نقطتين أو تلاتة من الماء و بادهن السطح الأملس من ال prism بادهن السطح الأملس من ال prism بأصبعي عشان ..", "tokens": [5016, 35457, 16712, 5016, 16254, 3215, 6225, 8592, 7649, 7251, 8315, 35457, 11933, 9566, 9640, 28239, 11242, 9640, 3660, 4032, 44945, 3615, 2304, 11296, 4724, 8592, 28820, 9122, 45865, 3794, 46811, 10943, 22807, 39182, 9957, 4724, 26108, 1829, 4724, 4587, 7578, 4724, 9778, 3714, 1829, 3224, 15844, 21136, 9566, 5016, 33962, 1211, 41185, 34051, 4724, 5016, 9566, 15844, 5551, 9381, 3555, 3615, 1829, 8717, 47432, 4386, 8717, 47432, 2655, 9957, 34051, 6055, 1211, 9307, 3660, 9154, 9673, 16606, 4032, 4724, 18513, 3224, 1863, 21136, 9566, 5016, 16247, 42213, 3794, 9154, 2423, 16163, 76, 4724, 18513, 3224, 1863, 21136, 9566, 5016, 16247, 42213, 3794, 9154, 2423, 16163, 76, 4724, 10721, 9381, 3555, 3615, 1829, 6225, 8592, 7649, 4386], "avg_logprob": -0.1777012661351996, "compression_ratio": 1.9651741293532339, "no_speech_prob": 0.0003628730773925781, "words": [{"start": 783.79, "end": 784.45, "word": "حسب", "probability": 0.61590576171875}, {"start": 784.45, "end": 785.07, "word": " التحديد", "probability": 0.968505859375}, {"start": 785.07, "end": 785.33, "word": " عشان", "probability": 0.96630859375}, {"start": 785.33, "end": 785.77, "word": " يناسب", "probability": 0.9700520833333334}, {"start": 785.77, "end": 786.19, "word": " إطار", "probability": 0.8323567708333334}, {"start": 786.19, "end": 786.83, "word": " النضارة", "probability": 0.940673828125}, {"start": 786.83, "end": 786.93, "word": " و", "probability": 0.61474609375}, {"start": 786.93, "end": 787.53, "word": " بنعمها", "probability": 0.73583984375}, {"start": 787.53, "end": 788.03, "word": " بشكل", "probability": 0.9918619791666666}, {"start": 788.03, "end": 789.09, "word": " كويس", "probability": 0.9954427083333334}, {"start": 789.09, "end": 789.79, "word": " تمام؟", "probability": 0.7137858072916666}, {"start": 789.79, "end": 790.15, "word": " بعدين", "probability": 0.90234375}, {"start": 790.15, "end": 790.65, "word": " باجي", "probability": 0.7657877604166666}, {"start": 790.65, "end": 791.33, "word": " بقى", "probability": 0.568603515625}, {"start": 791.33, "end": 791.53, "word": " بخ", "probability": 0.87451171875}, {"start": 791.53, "end": 791.99, "word": " ميه", "probability": 0.6614583333333334}, {"start": 791.99, "end": 792.17, "word": " على", "probability": 0.79443359375}, {"start": 792.17, "end": 792.59, "word": " السطح", "probability": 0.9300130208333334}, {"start": 792.59, "end": 793.13, "word": " الخلفي", "probability": 0.7841796875}, {"start": 793.13, "end": 793.87, "word": " أو", "probability": 0.84912109375}, {"start": 793.87, "end": 794.23, "word": " بحط", "probability": 0.9889322916666666}, {"start": 794.23, "end": 794.43, "word": " على", "probability": 0.79296875}, {"start": 794.43, "end": 794.91, "word": " أصبعي", "probability": 0.963671875}, {"start": 794.91, "end": 795.45, "word": " نقط", "probability": 0.888671875}, {"start": 795.45, "end": 795.53, "word": " ..", "probability": 0.174072265625}, {"start": 795.53, "end": 796.21, "word": " نقطتين", "probability": 0.946044921875}, {"start": 796.21, "end": 796.39, "word": " أو", "probability": 0.9296875}, {"start": 796.39, "end": 796.79, "word": " تلاتة", "probability": 0.9725341796875}, {"start": 796.79, "end": 796.95, "word": " من", "probability": 0.99609375}, {"start": 796.95, "end": 797.37, "word": " الماء", "probability": 0.966064453125}, {"start": 797.37, "end": 798.07, "word": " و", "probability": 0.87255859375}, {"start": 798.07, "end": 798.79, "word": " بادهن", "probability": 0.8709716796875}, {"start": 798.79, "end": 799.25, "word": " السطح", "probability": 0.9529622395833334}, {"start": 799.25, "end": 799.81, "word": " الأملس", "probability": 0.8435872395833334}, {"start": 799.81, "end": 799.99, "word": " من", "probability": 0.99755859375}, {"start": 799.99, "end": 800.11, "word": " ال", "probability": 0.86181640625}, {"start": 800.11, "end": 800.45, "word": " prism", "probability": 0.489715576171875}, {"start": 800.45, "end": 800.93, "word": " بادهن", "probability": 0.88232421875}, {"start": 800.93, "end": 801.35, "word": " السطح", "probability": 0.9814453125}, {"start": 801.35, "end": 801.83, "word": " الأملس", "probability": 0.98681640625}, {"start": 801.83, "end": 801.99, "word": " من", "probability": 0.99609375}, {"start": 801.99, "end": 802.13, "word": " ال", "probability": 0.98828125}, {"start": 802.13, "end": 802.63, "word": " prism", "probability": 0.82666015625}, {"start": 802.63, "end": 803.65, "word": " بأصبعي", "probability": 0.9654134114583334}, {"start": 803.65, "end": 804.51, "word": " عشان", "probability": 0.9905598958333334}, {"start": 804.51, "end": 805.05, "word": " ..", "probability": 0.93212890625}], "temperature": 1.0}, {"id": 34, "seek": 83169, "start": 807.95, "end": 831.69, "text": "يعني يتبلل أو بستعمل بخّاق من الماء و بالسق .. بالسق زي ما احنا شايفين من .. ببدأ من حفة و بتحرك باتجاه الحفة و بأصبعي ب .. يعني ألسق السطح الاملس للفرن البرزم بالسطح الخالفي للنضارة لغاية ما أتم عملية اللسق يعني how to use", "tokens": [40228, 22653, 7251, 2655, 36150, 1211, 34051, 4724, 14851, 25957, 1211, 4724, 9778, 11703, 995, 4587, 9154, 9673, 16606, 4032, 4724, 6027, 3794, 4587, 4386, 4724, 6027, 3794, 4587, 30767, 1829, 19446, 1975, 5016, 8315, 13412, 995, 33911, 9957, 9154, 4386, 4724, 44510, 10721, 9154, 11331, 5172, 3660, 4032, 39894, 5016, 31747, 4724, 9307, 7435, 40294, 21542, 5172, 3660, 4032, 4724, 10721, 9381, 3555, 3615, 1829, 4724, 4386, 37495, 22653, 5551, 1211, 3794, 4587, 21136, 9566, 5016, 2423, 10943, 1211, 3794, 24976, 5172, 2288, 1863, 2423, 26890, 11622, 2304, 20666, 3794, 9566, 5016, 33962, 6027, 41185, 24976, 1863, 11242, 9640, 3660, 5296, 17082, 995, 10632, 19446, 5551, 39237, 6225, 42213, 10632, 13672, 3794, 4587, 37495, 22653, 577, 281, 764], "avg_logprob": -0.1855468704054753, "compression_ratio": 1.808411214953271, "no_speech_prob": 1.1324882507324219e-05, "words": [{"start": 807.95, "end": 808.95, "word": "يعني", "probability": 0.609130859375}, {"start": 808.95, "end": 809.95, "word": " يتبلل", "probability": 0.905517578125}, {"start": 809.95, "end": 810.45, "word": " أو", "probability": 0.79345703125}, {"start": 810.45, "end": 811.11, "word": " بستعمل", "probability": 0.916015625}, {"start": 811.11, "end": 811.67, "word": " بخّاق", "probability": 0.7921875}, {"start": 811.67, "end": 811.85, "word": " من", "probability": 0.9951171875}, {"start": 811.85, "end": 812.33, "word": " الماء", "probability": 0.98779296875}, {"start": 812.33, "end": 812.97, "word": " و", "probability": 0.83544921875}, {"start": 812.97, "end": 813.77, "word": " بالسق", "probability": 0.847412109375}, {"start": 813.77, "end": 814.29, "word": " ..", "probability": 0.384033203125}, {"start": 814.29, "end": 814.79, "word": " بالسق", "probability": 0.934326171875}, {"start": 814.79, "end": 814.99, "word": " زي", "probability": 0.933349609375}, {"start": 814.99, "end": 815.07, "word": " ما", "probability": 0.9541015625}, {"start": 815.07, "end": 815.31, "word": " احنا", "probability": 0.85791015625}, {"start": 815.31, "end": 815.89, "word": " شايفين", "probability": 0.9918212890625}, {"start": 815.89, "end": 816.41, "word": " من", "probability": 0.583984375}, {"start": 816.41, "end": 816.71, "word": " ..", "probability": 0.93115234375}, {"start": 816.71, "end": 817.29, "word": " ببدأ", "probability": 0.9573567708333334}, {"start": 817.29, "end": 817.45, "word": " من", "probability": 0.9970703125}, {"start": 817.45, "end": 817.81, "word": " حفة", "probability": 0.97802734375}, {"start": 817.81, "end": 817.91, "word": " و", "probability": 0.89697265625}, {"start": 817.91, "end": 818.33, "word": " بتحرك", "probability": 0.820556640625}, {"start": 818.33, "end": 818.77, "word": " باتجاه", "probability": 0.8831787109375}, {"start": 818.77, "end": 819.29, "word": " الحفة", "probability": 0.9890950520833334}, {"start": 819.29, "end": 819.49, "word": " و", "probability": 0.984375}, {"start": 819.49, "end": 820.51, "word": " بأصبعي", "probability": 0.8927001953125}, {"start": 820.51, "end": 820.77, "word": " ب", "probability": 0.82666015625}, {"start": 820.77, "end": 821.33, "word": " ..", "probability": 0.9521484375}, {"start": 821.33, "end": 821.91, "word": " يعني", "probability": 0.95703125}, {"start": 821.91, "end": 822.71, "word": " ألسق", "probability": 0.914306640625}, {"start": 822.71, "end": 823.35, "word": " السطح", "probability": 0.7735188802083334}, {"start": 823.35, "end": 823.83, "word": " الاملس", "probability": 0.63433837890625}, {"start": 823.83, "end": 824.31, "word": " للفرن", "probability": 0.577239990234375}, {"start": 824.31, "end": 824.89, "word": " البرزم", "probability": 0.6661376953125}, {"start": 824.89, "end": 826.29, "word": " بالسطح", "probability": 0.934326171875}, {"start": 826.29, "end": 826.73, "word": " الخالفي", "probability": 0.7814127604166666}, {"start": 826.73, "end": 828.03, "word": " للنضارة", "probability": 0.9419921875}, {"start": 828.03, "end": 828.73, "word": " لغاية", "probability": 0.974609375}, {"start": 828.73, "end": 828.87, "word": " ما", "probability": 0.9228515625}, {"start": 828.87, "end": 829.21, "word": " أتم", "probability": 0.843505859375}, {"start": 829.21, "end": 829.81, "word": " عملية", "probability": 0.9713541666666666}, {"start": 829.81, "end": 830.37, "word": " اللسق", "probability": 0.9191080729166666}, {"start": 830.37, "end": 830.63, "word": " يعني", "probability": 0.77392578125}, {"start": 830.63, "end": 831.11, "word": " how", "probability": 0.9375}, {"start": 831.11, "end": 831.33, "word": " to", "probability": 0.67333984375}, {"start": 831.33, "end": 831.69, "word": " use", "probability": 0.89453125}], "temperature": 1.0}, {"id": 35, "seek": 85743, "start": 831.95, "end": 857.43, "text": "or how to apply using water So I have many useful things in this prism The first thing is that it is very light It is not comparable to the prism that we saw a while ago on the internet This prism is very heavy, it makes the glasses very heavy Here the prism is almost weightless because it is light Easy to use", "tokens": [284, 577, 281, 3079, 1228, 1281, 407, 286, 362, 867, 4420, 721, 294, 341, 582, 1434, 440, 700, 551, 307, 300, 309, 307, 588, 1442, 467, 307, 406, 25323, 281, 264, 582, 1434, 300, 321, 1866, 257, 1339, 2057, 322, 264, 4705, 639, 582, 1434, 307, 588, 4676, 11, 309, 1669, 264, 10812, 588, 4676, 1692, 264, 582, 1434, 307, 1920, 3364, 1832, 570, 309, 307, 1442, 16002, 281, 764], "avg_logprob": -0.4141725242977411, "compression_ratio": 1.681081081081081, "no_speech_prob": 2.2590160369873047e-05, "words": [{"start": 831.95, "end": 832.29, "word": "or", "probability": 0.393798828125}, {"start": 832.29, "end": 832.45, "word": " how", "probability": 0.9033203125}, {"start": 832.45, "end": 832.65, "word": " to", "probability": 0.9794921875}, {"start": 832.65, "end": 832.97, "word": " apply", "probability": 0.94384765625}, {"start": 832.97, "end": 833.33, "word": " using", "probability": 0.91259765625}, {"start": 833.33, "end": 833.77, "word": " water", "probability": 0.86083984375}, {"start": 833.77, "end": 834.13, "word": " So", "probability": 0.42626953125}, {"start": 834.13, "end": 835.05, "word": " I", "probability": 0.439697265625}, {"start": 835.05, "end": 835.23, "word": " have", "probability": 0.853515625}, {"start": 835.23, "end": 835.61, "word": " many", "probability": 0.261474609375}, {"start": 835.61, "end": 836.97, "word": " useful", "probability": 0.52978515625}, {"start": 836.97, "end": 837.13, "word": " things", "probability": 0.68017578125}, {"start": 837.13, "end": 837.37, "word": " in", "probability": 0.513671875}, {"start": 837.37, "end": 837.59, "word": " this", "probability": 0.892578125}, {"start": 837.59, "end": 837.93, "word": " prism", "probability": 0.808837890625}, {"start": 837.93, "end": 838.09, "word": " The", "probability": 0.294189453125}, {"start": 838.09, "end": 838.25, "word": " first", "probability": 0.87939453125}, {"start": 838.25, "end": 838.49, "word": " thing", "probability": 0.7294921875}, {"start": 838.49, "end": 838.65, "word": " is", "probability": 0.86767578125}, {"start": 838.65, "end": 838.85, "word": " that", "probability": 0.5283203125}, {"start": 838.85, "end": 839.15, "word": " it", "probability": 0.7548828125}, {"start": 839.15, "end": 839.23, "word": " is", "probability": 0.60791015625}, {"start": 839.23, "end": 839.37, "word": " very", "probability": 0.59033203125}, {"start": 839.37, "end": 839.65, "word": " light", "probability": 0.77197265625}, {"start": 839.65, "end": 840.75, "word": " It", "probability": 0.2271728515625}, {"start": 840.75, "end": 840.93, "word": " is", "probability": 0.452880859375}, {"start": 840.93, "end": 840.93, "word": " not", "probability": 0.82373046875}, {"start": 840.93, "end": 841.35, "word": " comparable", "probability": 0.421142578125}, {"start": 841.35, "end": 841.57, "word": " to", "probability": 0.78271484375}, {"start": 841.57, "end": 841.97, "word": " the", "probability": 0.81494140625}, {"start": 841.97, "end": 842.29, "word": " prism", "probability": 0.805419921875}, {"start": 842.29, "end": 842.41, "word": " that", "probability": 0.4482421875}, {"start": 842.41, "end": 842.51, "word": " we", "probability": 0.84619140625}, {"start": 842.51, "end": 842.87, "word": " saw", "probability": 0.6416015625}, {"start": 842.87, "end": 843.65, "word": " a", "probability": 0.3603515625}, {"start": 843.65, "end": 843.87, "word": " while", "probability": 0.66748046875}, {"start": 843.87, "end": 843.97, "word": " ago", "probability": 0.88720703125}, {"start": 843.97, "end": 845.87, "word": " on", "probability": 0.662109375}, {"start": 845.87, "end": 846.01, "word": " the", "probability": 0.68994140625}, {"start": 846.01, "end": 846.65, "word": " internet", "probability": 0.837890625}, {"start": 846.65, "end": 847.13, "word": " This", "probability": 0.73828125}, {"start": 847.13, "end": 847.47, "word": " prism", "probability": 0.90185546875}, {"start": 847.47, "end": 847.57, "word": " is", "probability": 0.9287109375}, {"start": 847.57, "end": 847.63, "word": " very", "probability": 0.8095703125}, {"start": 847.63, "end": 847.93, "word": " heavy,", "probability": 0.8427734375}, {"start": 848.29, "end": 848.37, "word": " it", "probability": 0.61328125}, {"start": 848.37, "end": 848.57, "word": " makes", "probability": 0.802734375}, {"start": 848.57, "end": 848.73, "word": " the", "probability": 0.66357421875}, {"start": 848.73, "end": 848.99, "word": " glasses", "probability": 0.411865234375}, {"start": 848.99, "end": 849.13, "word": " very", "probability": 0.697265625}, {"start": 849.13, "end": 849.51, "word": " heavy", "probability": 0.876953125}, {"start": 849.51, "end": 850.45, "word": " Here", "probability": 0.4521484375}, {"start": 850.45, "end": 850.57, "word": " the", "probability": 0.6806640625}, {"start": 850.57, "end": 850.93, "word": " prism", "probability": 0.934814453125}, {"start": 850.93, "end": 852.47, "word": " is", "probability": 0.71337890625}, {"start": 852.47, "end": 853.15, "word": " almost", "probability": 0.6103515625}, {"start": 853.15, "end": 854.15, "word": " weightless", "probability": 0.769775390625}, {"start": 854.15, "end": 854.45, "word": " because", "probability": 0.35791015625}, {"start": 854.45, "end": 854.87, "word": " it", "probability": 0.7529296875}, {"start": 854.87, "end": 854.93, "word": " is", "probability": 0.89453125}, {"start": 854.93, "end": 855.35, "word": " light", "probability": 0.51416015625}, {"start": 855.35, "end": 856.79, "word": " Easy", "probability": 0.3349609375}, {"start": 856.79, "end": 856.97, "word": " to", "probability": 0.97314453125}, {"start": 856.97, "end": 857.43, "word": " use", "probability": 0.904296875}], "temperature": 1.0}, {"id": 36, "seek": 87452, "start": 858.68, "end": 874.52, "text": "It's easy to cut, it's easy to boil. Can I remove it again after sticking it with water? Yes, I can remove it again, wipe if there's some water droplets or dust between it and the back of the glasses. I can clean it", "tokens": [3522, 311, 1858, 281, 1723, 11, 309, 311, 1858, 281, 13329, 13, 1664, 286, 4159, 309, 797, 934, 13465, 309, 365, 1281, 30, 1079, 11, 286, 393, 4159, 309, 797, 11, 14082, 498, 456, 311, 512, 1281, 41573, 420, 8634, 1296, 309, 293, 264, 646, 295, 264, 10812, 13, 286, 393, 2541, 309], "avg_logprob": -0.4765625027594743, "compression_ratio": 1.4930555555555556, "no_speech_prob": 9.131431579589844e-05, "words": [{"start": 858.68, "end": 859.1, "word": "It's", "probability": 0.52691650390625}, {"start": 859.1, "end": 859.26, "word": " easy", "probability": 0.90771484375}, {"start": 859.26, "end": 859.44, "word": " to", "probability": 0.93212890625}, {"start": 859.44, "end": 859.74, "word": " cut,", "probability": 0.2509765625}, {"start": 860.42, "end": 860.68, "word": " it's", "probability": 0.667724609375}, {"start": 860.68, "end": 860.86, "word": " easy", "probability": 0.9150390625}, {"start": 860.86, "end": 861.04, "word": " to", "probability": 0.9697265625}, {"start": 861.04, "end": 861.3, "word": " boil.", "probability": 0.1903076171875}, {"start": 861.38, "end": 861.64, "word": " Can", "probability": 0.5126953125}, {"start": 861.64, "end": 861.96, "word": " I", "probability": 0.99072265625}, {"start": 861.96, "end": 862.6, "word": " remove", "probability": 0.26171875}, {"start": 862.6, "end": 862.72, "word": " it", "probability": 0.92431640625}, {"start": 862.72, "end": 863.16, "word": " again", "probability": 0.82177734375}, {"start": 863.16, "end": 863.58, "word": " after", "probability": 0.81298828125}, {"start": 863.58, "end": 864.0, "word": " sticking", "probability": 0.238037109375}, {"start": 864.0, "end": 864.12, "word": " it", "probability": 0.86083984375}, {"start": 864.12, "end": 864.18, "word": " with", "probability": 0.31005859375}, {"start": 864.18, "end": 864.34, "word": " water?", "probability": 0.81787109375}, {"start": 864.46, "end": 864.58, "word": " Yes,", "probability": 0.95654296875}, {"start": 864.72, "end": 864.78, "word": " I", "probability": 0.9775390625}, {"start": 864.78, "end": 864.9, "word": " can", "probability": 0.93798828125}, {"start": 864.9, "end": 865.2, "word": " remove", "probability": 0.8291015625}, {"start": 865.2, "end": 865.74, "word": " it", "probability": 0.955078125}, {"start": 865.74, "end": 866.38, "word": " again,", "probability": 0.9130859375}, {"start": 866.6, "end": 866.86, "word": " wipe", "probability": 0.499267578125}, {"start": 866.86, "end": 867.1, "word": " if", "probability": 0.607421875}, {"start": 867.1, "end": 868.18, "word": " there's", "probability": 0.6146240234375}, {"start": 868.18, "end": 868.38, "word": " some", "probability": 0.6484375}, {"start": 868.38, "end": 868.56, "word": " water", "probability": 0.369140625}, {"start": 868.56, "end": 869.1, "word": " droplets", "probability": 0.247802734375}, {"start": 869.1, "end": 869.44, "word": " or", "probability": 0.87548828125}, {"start": 869.44, "end": 869.92, "word": " dust", "probability": 0.59228515625}, {"start": 869.92, "end": 870.68, "word": " between", "probability": 0.78662109375}, {"start": 870.68, "end": 870.84, "word": " it", "probability": 0.83935546875}, {"start": 870.84, "end": 870.98, "word": " and", "probability": 0.865234375}, {"start": 870.98, "end": 871.36, "word": " the", "probability": 0.5341796875}, {"start": 871.36, "end": 871.64, "word": " back", "probability": 0.60302734375}, {"start": 871.64, "end": 872.12, "word": " of", "probability": 0.48095703125}, {"start": 872.12, "end": 872.3, "word": " the", "probability": 0.89990234375}, {"start": 872.3, "end": 872.7, "word": " glasses.", "probability": 0.2198486328125}, {"start": 872.98, "end": 873.34, "word": " I", "probability": 0.8173828125}, {"start": 873.34, "end": 873.64, "word": " can", "probability": 0.904296875}, {"start": 873.64, "end": 874.24, "word": " clean", "probability": 0.83935546875}, {"start": 874.24, "end": 874.52, "word": " it", "probability": 0.92041015625}], "temperature": 1.0}, {"id": 37, "seek": 90166, "start": 875.3, "end": 901.66, "text": "بأي وسيلة بسيطة يعني بفرشات الأسنان مثلا إذا تراكمت غبار أو شيء من هذا في الفرزات بين البرزمات فبالتالي في فوائد كتيرة جدا إليه منها إنه خفيف الوزن و هذا طبعا ممكن أستعمله لعين تين أو لعين واحدة لعين تين أو لعين واحدة ممكن أستعمله horizontal زي ما أحنا شايفين ممكن أستعمله .. عفوا vertical هذا vertical apex إما up أو down", "tokens": [3555, 10721, 1829, 46952, 26895, 3660, 4724, 3794, 1829, 9566, 3660, 37495, 22653, 4724, 5172, 2288, 8592, 9307, 16247, 3794, 1863, 7649, 50113, 15040, 11933, 15730, 6055, 23557, 24793, 2655, 32771, 3555, 9640, 34051, 44049, 38207, 9154, 23758, 8978, 27188, 2288, 11622, 9307, 49374, 2423, 26890, 11622, 2304, 9307, 6156, 3555, 6027, 2655, 6027, 1829, 8978, 6156, 2407, 16373, 3215, 9122, 2655, 48923, 10874, 28259, 11933, 20292, 3224, 9154, 11296, 36145, 3224, 16490, 5172, 33911, 2423, 2407, 11622, 1863, 4032, 23758, 23032, 3555, 3615, 995, 3714, 43020, 5551, 14851, 25957, 43761, 5296, 3615, 9957, 6055, 9957, 34051, 5296, 3615, 9957, 36764, 24401, 3660, 5296, 3615, 9957, 6055, 9957, 34051, 5296, 3615, 9957, 36764, 24401, 3660, 3714, 43020, 5551, 14851, 25957, 43761, 12750, 30767, 1829, 19446, 5551, 5016, 8315, 13412, 995, 33911, 9957, 3714, 43020, 5551, 14851, 25957, 43761, 4386, 6225, 5172, 14407, 9429, 23758, 9429, 48115, 11933, 15042, 493, 34051, 760], "avg_logprob": -0.14730674812668249, "compression_ratio": 1.9534050179211468, "no_speech_prob": 3.3915042877197266e-05, "words": [{"start": 875.3, "end": 875.96, "word": "بأي", "probability": 0.5304768880208334}, {"start": 875.96, "end": 876.38, "word": " وسيلة", "probability": 0.9562174479166666}, {"start": 876.38, "end": 876.92, "word": " بسيطة", "probability": 0.993359375}, {"start": 876.92, "end": 877.22, "word": " يعني", "probability": 0.830810546875}, {"start": 877.22, "end": 877.94, "word": " بفرشات", "probability": 0.8974609375}, {"start": 877.94, "end": 878.46, "word": " الأسنان", "probability": 0.9556884765625}, {"start": 878.46, "end": 878.86, "word": " مثلا", "probability": 0.966796875}, {"start": 878.86, "end": 879.5, "word": " إذا", "probability": 0.95751953125}, {"start": 879.5, "end": 880.3, "word": " تراكمت", "probability": 0.9766845703125}, {"start": 880.3, "end": 880.92, "word": " غبار", "probability": 0.9920247395833334}, {"start": 880.92, "end": 881.08, "word": " أو", "probability": 0.869140625}, {"start": 881.08, "end": 881.28, "word": " شيء", "probability": 0.957275390625}, {"start": 881.28, "end": 881.38, "word": " من", "probability": 0.994140625}, {"start": 881.38, "end": 881.56, "word": " هذا", "probability": 0.8720703125}, {"start": 881.56, "end": 881.72, "word": " في", "probability": 0.85400390625}, {"start": 881.72, "end": 882.3, "word": " الفرزات", "probability": 0.8782958984375}, {"start": 882.3, "end": 882.6, "word": " بين", "probability": 0.7724609375}, {"start": 882.6, "end": 883.3, "word": " البرزمات", "probability": 0.7767578125}, {"start": 883.3, "end": 884.02, "word": " فبالتالي", "probability": 0.9462890625}, {"start": 884.02, "end": 884.16, "word": " في", "probability": 0.65771484375}, {"start": 884.16, "end": 884.78, "word": " فوائد", "probability": 0.9326171875}, {"start": 884.78, "end": 885.34, "word": " كتيرة", "probability": 0.8525390625}, {"start": 885.34, "end": 885.78, "word": " جدا", "probability": 0.98193359375}, {"start": 885.78, "end": 886.58, "word": " إليه", "probability": 0.5279134114583334}, {"start": 886.58, "end": 886.88, "word": " منها", "probability": 0.903076171875}, {"start": 886.88, "end": 887.14, "word": " إنه", "probability": 0.806884765625}, {"start": 887.14, "end": 887.46, "word": " خفيف", "probability": 0.9728190104166666}, {"start": 887.46, "end": 887.98, "word": " الوزن", "probability": 0.991455078125}, {"start": 887.98, "end": 888.3, "word": " و", "probability": 0.9365234375}, {"start": 888.3, "end": 888.7, "word": " هذا", "probability": 0.79931640625}, {"start": 888.7, "end": 889.38, "word": " طبعا", "probability": 0.979248046875}, {"start": 889.38, "end": 889.66, "word": " ممكن", "probability": 0.988525390625}, {"start": 889.66, "end": 890.36, "word": " أستعمله", "probability": 0.8306884765625}, {"start": 890.36, "end": 891.08, "word": " لعين", "probability": 0.962890625}, {"start": 891.08, "end": 891.36, "word": " تين", "probability": 0.731201171875}, {"start": 891.36, "end": 891.92, "word": " أو", "probability": 0.90771484375}, {"start": 891.92, "end": 892.24, "word": " لعين", "probability": 0.9892578125}, {"start": 892.24, "end": 892.74, "word": " واحدة", "probability": 0.9791666666666666}, {"start": 892.74, "end": 893.16, "word": " لعين", "probability": 0.9046223958333334}, {"start": 893.16, "end": 893.42, "word": " تين", "probability": 0.98291015625}, {"start": 893.42, "end": 893.66, "word": " أو", "probability": 0.92236328125}, {"start": 893.66, "end": 894.02, "word": " لعين", "probability": 0.9864908854166666}, {"start": 894.02, "end": 894.48, "word": " واحدة", "probability": 0.9890950520833334}, {"start": 894.48, "end": 895.5, "word": " ممكن", "probability": 0.99072265625}, {"start": 895.5, "end": 896.02, "word": " أستعمله", "probability": 0.93603515625}, {"start": 896.02, "end": 896.6, "word": " horizontal", "probability": 0.80126953125}, {"start": 896.6, "end": 896.88, "word": " زي", "probability": 0.947509765625}, {"start": 896.88, "end": 896.94, "word": " ما", "probability": 0.95703125}, {"start": 896.94, "end": 897.12, "word": " أحنا", "probability": 0.8424479166666666}, {"start": 897.12, "end": 897.58, "word": " شايفين", "probability": 0.9852294921875}, {"start": 897.58, "end": 897.94, "word": " ممكن", "probability": 0.865966796875}, {"start": 897.94, "end": 898.26, "word": " أستعمله", "probability": 0.838623046875}, {"start": 898.26, "end": 898.28, "word": " ..", "probability": 0.69287109375}, {"start": 898.28, "end": 898.74, "word": " عفوا", "probability": 0.7464192708333334}, {"start": 898.74, "end": 899.38, "word": " vertical", "probability": 0.248046875}, {"start": 899.38, "end": 899.66, "word": " هذا", "probability": 0.7998046875}, {"start": 899.66, "end": 900.14, "word": " vertical", "probability": 0.9423828125}, {"start": 900.14, "end": 900.58, "word": " apex", "probability": 0.3388671875}, {"start": 900.58, "end": 900.84, "word": " إما", "probability": 0.6572265625}, {"start": 900.84, "end": 901.16, "word": " up", "probability": 0.98876953125}, {"start": 901.16, "end": 901.34, "word": " أو", "probability": 0.94091796875}, {"start": 901.34, "end": 901.66, "word": " down", "probability": 0.876953125}], "temperature": 1.0}, {"id": 38, "seek": 92024, "start": 902.32, "end": 920.24, "text": "Tama'am? Here horizontal, Apex either out or in, and here I can use oblique, oblique I use if I have horizontal and vertical diplopia, I make them compensation, meaning compensation or compensation of the angle of rotation, if I have a horizontal rotation and a vertical rotation", "tokens": [51, 2404, 6, 335, 30, 1692, 12750, 11, 316, 29420, 2139, 484, 420, 294, 11, 293, 510, 286, 393, 764, 23740, 1925, 11, 23740, 1925, 286, 764, 498, 286, 362, 12750, 293, 9429, 11432, 22376, 11, 286, 652, 552, 19644, 11, 3620, 19644, 420, 19644, 295, 264, 5802, 295, 12447, 11, 498, 286, 362, 257, 12750, 12447, 293, 257, 9429, 12447], "avg_logprob": -0.45816531152494494, "compression_ratio": 1.7770700636942676, "no_speech_prob": 1.3053417205810547e-05, "words": [{"start": 902.32, "end": 902.54, "word": "Tama", "probability": 0.20501708984375}, {"start": 902.54, "end": 902.78, "word": "'am?", "probability": 0.655029296875}, {"start": 902.92, "end": 903.16, "word": " Here", "probability": 0.5576171875}, {"start": 903.16, "end": 904.0, "word": " horizontal,", "probability": 0.6826171875}, {"start": 904.16, "end": 904.44, "word": " Apex", "probability": 0.3092041015625}, {"start": 904.44, "end": 904.66, "word": " either", "probability": 0.4521484375}, {"start": 904.66, "end": 905.06, "word": " out", "probability": 0.81884765625}, {"start": 905.06, "end": 905.28, "word": " or", "probability": 0.96484375}, {"start": 905.28, "end": 905.54, "word": " in,", "probability": 0.966796875}, {"start": 906.06, "end": 906.42, "word": " and", "probability": 0.93798828125}, {"start": 906.42, "end": 906.68, "word": " here", "probability": 0.8388671875}, {"start": 906.68, "end": 906.84, "word": " I", "probability": 0.89111328125}, {"start": 906.84, "end": 907.02, "word": " can", "probability": 0.87890625}, {"start": 907.02, "end": 907.42, "word": " use", "probability": 0.8740234375}, {"start": 907.42, "end": 908.02, "word": " oblique,", "probability": 0.86865234375}, {"start": 908.38, "end": 908.84, "word": " oblique", "probability": 0.819091796875}, {"start": 908.84, "end": 909.04, "word": " I", "probability": 0.72900390625}, {"start": 909.04, "end": 909.32, "word": " use", "probability": 0.8310546875}, {"start": 909.32, "end": 909.82, "word": " if", "probability": 0.72509765625}, {"start": 909.82, "end": 910.48, "word": " I", "probability": 0.90283203125}, {"start": 910.48, "end": 910.84, "word": " have", "probability": 0.8974609375}, {"start": 910.84, "end": 911.8, "word": " horizontal", "probability": 0.71923828125}, {"start": 911.8, "end": 912.24, "word": " and", "probability": 0.9169921875}, {"start": 912.24, "end": 912.74, "word": " vertical", "probability": 0.93017578125}, {"start": 912.74, "end": 913.38, "word": " diplopia,", "probability": 0.675537109375}, {"start": 913.5, "end": 913.88, "word": " I", "probability": 0.81640625}, {"start": 913.88, "end": 914.12, "word": " make", "probability": 0.5654296875}, {"start": 914.12, "end": 914.38, "word": " them", "probability": 0.30517578125}, {"start": 914.38, "end": 915.18, "word": " compensation,", "probability": 0.92724609375}, {"start": 915.76, "end": 915.92, "word": " meaning", "probability": 0.193359375}, {"start": 915.92, "end": 916.52, "word": " compensation", "probability": 0.72021484375}, {"start": 916.52, "end": 916.78, "word": " or", "probability": 0.455322265625}, {"start": 916.78, "end": 917.18, "word": " compensation", "probability": 0.91162109375}, {"start": 917.18, "end": 917.4, "word": " of", "probability": 0.356201171875}, {"start": 917.4, "end": 917.5, "word": " the", "probability": 0.5517578125}, {"start": 917.5, "end": 917.6, "word": " angle", "probability": 0.45703125}, {"start": 917.6, "end": 917.96, "word": " of", "probability": 0.330078125}, {"start": 917.96, "end": 917.96, "word": " rotation,", "probability": 0.7734375}, {"start": 918.0, "end": 918.12, "word": " if", "probability": 0.7373046875}, {"start": 918.12, "end": 918.34, "word": " I", "probability": 0.95849609375}, {"start": 918.34, "end": 918.38, "word": " have", "probability": 0.93408203125}, {"start": 918.38, "end": 918.8, "word": " a", "probability": 0.490966796875}, {"start": 918.8, "end": 919.12, "word": " horizontal", "probability": 0.76025390625}, {"start": 919.12, "end": 919.14, "word": " rotation", "probability": 0.51318359375}, {"start": 919.14, "end": 919.68, "word": " and", "probability": 0.58154296875}, {"start": 919.68, "end": 919.98, "word": " a", "probability": 0.54638671875}, {"start": 919.98, "end": 920.24, "word": " vertical", "probability": 0.763671875}, {"start": 920.24, "end": 920.24, "word": " rotation", "probability": 0.97705078125}], "temperature": 1.0}, {"id": 39, "seek": 94247, "start": 920.71, "end": 942.47, "text": "فبعود عنهم ب Oblique Prism بيسد عن ال Prismين ال Prism Horizontal و ال Prism Vertical و تحديد اتجاه ال base و ميلان ال Prism على المحور الأفقي أو العمودي أخدناه في ال vector addition of Prisms طبعا هنا الرسمة بتوضح ان ال base .. ال base up and in", "tokens": [5172, 3555, 3615, 23328, 18871, 16095, 4724, 4075, 75, 1925, 2114, 1434, 4724, 1829, 3794, 3215, 18871, 2423, 2114, 1434, 9957, 2423, 2114, 1434, 42141, 896, 304, 4032, 2423, 2114, 1434, 21044, 804, 4032, 6055, 5016, 16254, 3215, 1975, 2655, 7435, 40294, 2423, 3096, 4032, 3714, 26895, 7649, 2423, 2114, 1434, 15844, 9673, 5016, 13063, 16247, 5172, 38436, 34051, 18863, 2304, 2407, 16254, 5551, 9778, 3215, 8315, 3224, 8978, 2423, 8062, 4500, 295, 2114, 13539, 23032, 3555, 3615, 995, 34105, 34892, 38251, 3660, 39894, 2407, 11242, 5016, 16472, 2423, 3096, 4386, 2423, 3096, 493, 293, 294], "avg_logprob": -0.179284793814433, "compression_ratio": 1.6055045871559632, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 920.71, "end": 921.51, "word": "فبعود", "probability": 0.65435791015625}, {"start": 921.51, "end": 921.93, "word": " عنهم", "probability": 0.979736328125}, {"start": 921.93, "end": 922.19, "word": " ب", "probability": 0.93798828125}, {"start": 922.19, "end": 922.85, "word": " Oblique", "probability": 0.6209309895833334}, {"start": 922.85, "end": 923.33, "word": " Prism", "probability": 0.819091796875}, {"start": 923.33, "end": 925.35, "word": " بيسد", "probability": 0.8580322265625}, {"start": 925.35, "end": 925.61, "word": " عن", "probability": 0.9560546875}, {"start": 925.61, "end": 925.73, "word": " ال", "probability": 0.8212890625}, {"start": 925.73, "end": 926.15, "word": " Prismين", "probability": 0.7379557291666666}, {"start": 926.15, "end": 926.23, "word": " ال", "probability": 0.497314453125}, {"start": 926.23, "end": 926.51, "word": " Prism", "probability": 0.932861328125}, {"start": 926.51, "end": 927.17, "word": " Horizontal", "probability": 0.7823079427083334}, {"start": 927.17, "end": 927.47, "word": " و", "probability": 0.98095703125}, {"start": 927.47, "end": 927.61, "word": " ال", "probability": 0.58056640625}, {"start": 927.61, "end": 927.91, "word": " Prism", "probability": 0.99267578125}, {"start": 927.91, "end": 928.57, "word": " Vertical", "probability": 0.922119140625}, {"start": 928.57, "end": 929.19, "word": " و", "probability": 0.7177734375}, {"start": 929.19, "end": 930.41, "word": " تحديد", "probability": 0.97900390625}, {"start": 930.41, "end": 930.83, "word": " اتجاه", "probability": 0.949951171875}, {"start": 930.83, "end": 931.03, "word": " ال", "probability": 0.99267578125}, {"start": 931.03, "end": 931.33, "word": " base", "probability": 0.58984375}, {"start": 931.33, "end": 931.79, "word": " و", "probability": 0.97802734375}, {"start": 931.79, "end": 932.31, "word": " ميلان", "probability": 0.7459309895833334}, {"start": 932.31, "end": 932.45, "word": " ال", "probability": 0.93408203125}, {"start": 932.45, "end": 932.81, "word": " Prism", "probability": 0.984619140625}, {"start": 932.81, "end": 933.05, "word": " على", "probability": 0.740234375}, {"start": 933.05, "end": 933.47, "word": " المحور", "probability": 0.984375}, {"start": 933.47, "end": 933.95, "word": " الأفقي", "probability": 0.8076171875}, {"start": 933.95, "end": 934.13, "word": " أو", "probability": 0.58544921875}, {"start": 934.13, "end": 934.63, "word": " العمودي", "probability": 0.970947265625}, {"start": 934.63, "end": 935.63, "word": " أخدناه", "probability": 0.90546875}, {"start": 935.63, "end": 935.71, "word": " في", "probability": 0.86865234375}, {"start": 935.71, "end": 935.85, "word": " ال", "probability": 0.9453125}, {"start": 935.85, "end": 936.25, "word": " vector", "probability": 0.890625}, {"start": 936.25, "end": 936.87, "word": " addition", "probability": 0.953125}, {"start": 936.87, "end": 937.21, "word": " of", "probability": 0.9873046875}, {"start": 937.21, "end": 938.19, "word": " Prisms", "probability": 0.764404296875}, {"start": 938.19, "end": 938.57, "word": " طبعا", "probability": 0.9796142578125}, {"start": 938.57, "end": 938.77, "word": " هنا", "probability": 0.8408203125}, {"start": 938.77, "end": 939.25, "word": " الرسمة", "probability": 0.92724609375}, {"start": 939.25, "end": 939.65, "word": " بتوضح", "probability": 0.962158203125}, {"start": 939.65, "end": 939.81, "word": " ان", "probability": 0.432861328125}, {"start": 939.81, "end": 939.97, "word": " ال", "probability": 0.96826171875}, {"start": 939.97, "end": 940.27, "word": " base", "probability": 0.9072265625}, {"start": 940.27, "end": 940.47, "word": " ..", "probability": 0.43310546875}, {"start": 940.47, "end": 940.83, "word": " ال", "probability": 0.94580078125}, {"start": 940.83, "end": 941.15, "word": " base", "probability": 0.9130859375}, {"start": 941.15, "end": 941.79, "word": " up", "probability": 0.8935546875}, {"start": 941.79, "end": 942.19, "word": " and", "probability": 0.9736328125}, {"start": 942.19, "end": 942.47, "word": " in", "probability": 0.95556640625}], "temperature": 1.0}, {"id": 40, "seek": 96711, "start": 942.69, "end": 967.11, "text": "up and in يعني ال apex out and down out and down هنا horizontal prism horizontal prism يعني ال apex إما لجوة و ال base لبرا أو العكس يعني base out أو base in هنا أنا اقطعت هنا من جزء من الصورة عشان نعرف بدون ما حد يقولنا هل ال apex out ولا in هل ال apex out ولا in طبعا", "tokens": [1010, 293, 294, 37495, 22653, 2423, 48115, 484, 293, 760, 484, 293, 760, 34105, 12750, 582, 1434, 12750, 582, 1434, 37495, 22653, 2423, 48115, 11933, 15042, 5296, 7435, 2407, 3660, 4032, 2423, 3096, 5296, 3555, 23557, 34051, 18863, 4117, 3794, 37495, 22653, 3096, 484, 34051, 3096, 294, 34105, 41850, 1975, 47432, 34268, 34105, 9154, 10874, 11622, 38207, 9154, 31767, 13063, 3660, 6225, 8592, 7649, 8717, 3615, 28480, 47525, 11536, 19446, 11331, 3215, 7251, 39648, 8315, 8032, 1211, 2423, 48115, 484, 49429, 294, 8032, 1211, 2423, 48115, 484, 49429, 294, 23032, 3555, 3615, 995], "avg_logprob": -0.1785239428281784, "compression_ratio": 1.8712871287128714, "no_speech_prob": 2.3424625396728516e-05, "words": [{"start": 942.69, "end": 943.03, "word": "up", "probability": 0.81494140625}, {"start": 943.03, "end": 943.39, "word": " and", "probability": 0.96484375}, {"start": 943.39, "end": 943.67, "word": " in", "probability": 0.951171875}, {"start": 943.67, "end": 943.91, "word": " يعني", "probability": 0.586669921875}, {"start": 943.91, "end": 944.07, "word": " ال", "probability": 0.87255859375}, {"start": 944.07, "end": 944.31, "word": " apex", "probability": 0.10064697265625}, {"start": 944.31, "end": 944.83, "word": " out", "probability": 0.79931640625}, {"start": 944.83, "end": 945.19, "word": " and", "probability": 0.9716796875}, {"start": 945.19, "end": 945.89, "word": " down", "probability": 0.84912109375}, {"start": 945.89, "end": 946.23, "word": " out", "probability": 0.456298828125}, {"start": 946.23, "end": 946.45, "word": " and", "probability": 0.9599609375}, {"start": 946.45, "end": 946.73, "word": " down", "probability": 0.86669921875}, {"start": 946.73, "end": 947.25, "word": " هنا", "probability": 0.91845703125}, {"start": 947.25, "end": 948.13, "word": " horizontal", "probability": 0.669921875}, {"start": 948.13, "end": 948.67, "word": " prism", "probability": 0.703125}, {"start": 948.67, "end": 949.13, "word": " horizontal", "probability": 0.5087890625}, {"start": 949.13, "end": 949.73, "word": " prism", "probability": 0.782470703125}, {"start": 949.73, "end": 949.95, "word": " يعني", "probability": 0.920166015625}, {"start": 949.95, "end": 950.13, "word": " ال", "probability": 0.9677734375}, {"start": 950.13, "end": 950.47, "word": " apex", "probability": 0.94189453125}, {"start": 950.47, "end": 951.43, "word": " إما", "probability": 0.760986328125}, {"start": 951.43, "end": 952.03, "word": " لجوة", "probability": 0.8189697265625}, {"start": 952.03, "end": 952.15, "word": " و", "probability": 0.61962890625}, {"start": 952.15, "end": 952.25, "word": " ال", "probability": 0.96923828125}, {"start": 952.25, "end": 952.41, "word": " base", "probability": 0.8916015625}, {"start": 952.41, "end": 952.81, "word": " لبرا", "probability": 0.7423502604166666}, {"start": 952.81, "end": 953.01, "word": " أو", "probability": 0.91796875}, {"start": 953.01, "end": 953.43, "word": " العكس", "probability": 0.9192708333333334}, {"start": 953.43, "end": 953.61, "word": " يعني", "probability": 0.850830078125}, {"start": 953.61, "end": 953.93, "word": " base", "probability": 0.833984375}, {"start": 953.93, "end": 954.29, "word": " out", "probability": 0.92138671875}, {"start": 954.29, "end": 954.49, "word": " أو", "probability": 0.8505859375}, {"start": 954.49, "end": 954.79, "word": " base", "probability": 0.919921875}, {"start": 954.79, "end": 955.03, "word": " in", "probability": 0.97216796875}, {"start": 955.03, "end": 955.55, "word": " هنا", "probability": 0.962890625}, {"start": 955.55, "end": 955.75, "word": " أنا", "probability": 0.9228515625}, {"start": 955.75, "end": 956.35, "word": " اقطعت", "probability": 0.70703125}, {"start": 956.35, "end": 956.71, "word": " هنا", "probability": 0.97607421875}, {"start": 956.71, "end": 957.05, "word": " من", "probability": 0.68408203125}, {"start": 957.05, "end": 957.47, "word": " جزء", "probability": 0.8863932291666666}, {"start": 957.47, "end": 957.63, "word": " من", "probability": 0.908203125}, {"start": 957.63, "end": 958.07, "word": " الصورة", "probability": 0.9845377604166666}, {"start": 958.07, "end": 958.37, "word": " عشان", "probability": 0.98486328125}, {"start": 958.37, "end": 958.77, "word": " نعرف", "probability": 0.9964192708333334}, {"start": 958.77, "end": 959.07, "word": " بدون", "probability": 0.992431640625}, {"start": 959.07, "end": 959.21, "word": " ما", "probability": 0.9287109375}, {"start": 959.21, "end": 959.47, "word": " حد", "probability": 0.99365234375}, {"start": 959.47, "end": 960.87, "word": " يقولنا", "probability": 0.9874674479166666}, {"start": 960.87, "end": 961.73, "word": " هل", "probability": 0.965087890625}, {"start": 961.73, "end": 961.89, "word": " ال", "probability": 0.99267578125}, {"start": 961.89, "end": 962.23, "word": " apex", "probability": 0.9296875}, {"start": 962.23, "end": 962.85, "word": " out", "probability": 0.92919921875}, {"start": 962.85, "end": 964.29, "word": " ولا", "probability": 0.63427734375}, {"start": 964.29, "end": 964.53, "word": " in", "probability": 0.97509765625}, {"start": 964.53, "end": 964.95, "word": " هل", "probability": 0.866943359375}, {"start": 964.95, "end": 965.03, "word": " ال", "probability": 0.98583984375}, {"start": 965.03, "end": 965.29, "word": " apex", "probability": 0.92333984375}, {"start": 965.29, "end": 965.77, "word": " out", "probability": 0.93359375}, {"start": 965.77, "end": 965.99, "word": " ولا", "probability": 0.962890625}, {"start": 965.99, "end": 966.29, "word": " in", "probability": 0.9765625}, {"start": 966.29, "end": 967.11, "word": " طبعا", "probability": 0.93408203125}], "temperature": 1.0}, {"id": 41, "seek": 99533, "start": 969.45, "end": 995.33, "text": "If we notice here, we find that the position of the glasses behind the prism is shifted in this direction In this direction, compared to the part of the arm If we notice here, it is shifted inward a little compared to what is left of the glasses arm, so it is shifted inward, which means that the apex is inward, and this is based out of the prism This is based out of the prism, so without anyone telling me that I can know the direction of the base", "tokens": [8031, 321, 3449, 510, 11, 321, 915, 300, 264, 2535, 295, 264, 1563, 26615, 2261, 264, 582, 1434, 307, 18892, 294, 341, 3513, 682, 341, 3513, 11, 5347, 281, 264, 644, 295, 264, 3726, 759, 321, 3449, 510, 11, 309, 307, 18892, 29876, 257, 707, 5347, 281, 437, 307, 1411, 295, 264, 1563, 26615, 3726, 11, 370, 309, 307, 18892, 29876, 11, 597, 1355, 300, 264, 48115, 307, 29876, 11, 293, 341, 307, 2361, 484, 295, 264, 582, 1434, 639, 307, 2361, 484, 295, 264, 582, 1434, 11, 370, 1553, 2878, 3585, 385, 300, 286, 393, 458, 264, 3513, 295, 264, 3096], "avg_logprob": -0.5121358991826622, "compression_ratio": 2.1739130434782608, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 969.45, "end": 969.69, "word": "If", "probability": 0.623046875}, {"start": 969.69, "end": 970.09, "word": " we", "probability": 0.81787109375}, {"start": 970.09, "end": 970.43, "word": " notice", "probability": 0.65625}, {"start": 970.43, "end": 970.85, "word": " here,", "probability": 0.78857421875}, {"start": 971.35, "end": 971.45, "word": " we", "probability": 0.71875}, {"start": 971.45, "end": 971.77, "word": " find", "probability": 0.556640625}, {"start": 971.77, "end": 971.91, "word": " that", "probability": 0.55615234375}, {"start": 971.91, "end": 972.01, "word": " the", "probability": 0.8134765625}, {"start": 972.01, "end": 972.15, "word": " position", "probability": 0.0160369873046875}, {"start": 972.15, "end": 972.29, "word": " of", "probability": 0.90478515625}, {"start": 972.29, "end": 972.39, "word": " the", "probability": 0.70654296875}, {"start": 972.39, "end": 972.79, "word": " glasses", "probability": 0.4052734375}, {"start": 972.79, "end": 973.15, "word": " behind", "probability": 0.771484375}, {"start": 973.15, "end": 973.41, "word": " the", "probability": 0.8740234375}, {"start": 973.41, "end": 973.67, "word": " prism", "probability": 0.760986328125}, {"start": 973.67, "end": 973.87, "word": " is", "probability": 0.7958984375}, {"start": 973.87, "end": 974.11, "word": " shifted", "probability": 0.10406494140625}, {"start": 974.11, "end": 974.25, "word": " in", "probability": 0.62158203125}, {"start": 974.25, "end": 974.49, "word": " this", "probability": 0.8095703125}, {"start": 974.49, "end": 975.05, "word": " direction", "probability": 0.865234375}, {"start": 975.05, "end": 975.55, "word": " In", "probability": 0.20947265625}, {"start": 975.55, "end": 975.79, "word": " this", "probability": 0.90966796875}, {"start": 975.79, "end": 976.31, "word": " direction,", "probability": 0.93408203125}, {"start": 976.43, "end": 976.85, "word": " compared", "probability": 0.64013671875}, {"start": 976.85, "end": 977.25, "word": " to", "probability": 0.8779296875}, {"start": 977.25, "end": 977.45, "word": " the", "probability": 0.4794921875}, {"start": 977.45, "end": 977.69, "word": " part", "probability": 0.409423828125}, {"start": 977.69, "end": 977.91, "word": " of", "probability": 0.90966796875}, {"start": 977.91, "end": 978.11, "word": " the", "probability": 0.89697265625}, {"start": 978.11, "end": 978.37, "word": " arm", "probability": 0.16162109375}, {"start": 978.37, "end": 978.97, "word": " If", "probability": 0.358154296875}, {"start": 978.97, "end": 979.33, "word": " we", "probability": 0.87890625}, {"start": 979.33, "end": 979.65, "word": " notice", "probability": 0.84228515625}, {"start": 979.65, "end": 980.03, "word": " here,", "probability": 0.63427734375}, {"start": 980.17, "end": 980.21, "word": " it", "probability": 0.8427734375}, {"start": 980.21, "end": 980.41, "word": " is", "probability": 0.310302734375}, {"start": 980.41, "end": 980.99, "word": " shifted", "probability": 0.370849609375}, {"start": 980.99, "end": 981.39, "word": " inward", "probability": 0.28466796875}, {"start": 981.39, "end": 981.59, "word": " a", "probability": 0.484375}, {"start": 981.59, "end": 981.71, "word": " little", "probability": 0.66357421875}, {"start": 981.71, "end": 982.35, "word": " compared", "probability": 0.56884765625}, {"start": 982.35, "end": 982.93, "word": " to", "probability": 0.93310546875}, {"start": 982.93, "end": 983.99, "word": " what", "probability": 0.564453125}, {"start": 983.99, "end": 984.17, "word": " is", "probability": 0.46044921875}, {"start": 984.17, "end": 984.47, "word": " left", "probability": 0.8203125}, {"start": 984.47, "end": 984.65, "word": " of", "probability": 0.8173828125}, {"start": 984.65, "end": 985.11, "word": " the", "probability": 0.9169921875}, {"start": 985.11, "end": 985.37, "word": " glasses", "probability": 0.644287109375}, {"start": 985.37, "end": 985.37, "word": " arm,", "probability": 0.37255859375}, {"start": 985.51, "end": 985.65, "word": " so", "probability": 0.63134765625}, {"start": 985.65, "end": 985.97, "word": " it", "probability": 0.53759765625}, {"start": 985.97, "end": 986.09, "word": " is", "probability": 0.75537109375}, {"start": 986.09, "end": 986.31, "word": " shifted", "probability": 0.7705078125}, {"start": 986.31, "end": 986.65, "word": " inward,", "probability": 0.8017578125}, {"start": 986.73, "end": 986.77, "word": " which", "probability": 0.49169921875}, {"start": 986.77, "end": 986.99, "word": " means", "probability": 0.89404296875}, {"start": 986.99, "end": 987.13, "word": " that", "probability": 0.45849609375}, {"start": 987.13, "end": 987.17, "word": " the", "probability": 0.58203125}, {"start": 987.17, "end": 987.41, "word": " apex", "probability": 0.9189453125}, {"start": 987.41, "end": 987.57, "word": " is", "probability": 0.87060546875}, {"start": 987.57, "end": 987.91, "word": " inward,", "probability": 0.83935546875}, {"start": 988.05, "end": 988.11, "word": " and", "probability": 0.80859375}, {"start": 988.11, "end": 988.33, "word": " this", "probability": 0.76708984375}, {"start": 988.33, "end": 988.39, "word": " is", "probability": 0.92138671875}, {"start": 988.39, "end": 988.69, "word": " based", "probability": 0.333251953125}, {"start": 988.69, "end": 989.09, "word": " out", "probability": 0.71923828125}, {"start": 989.09, "end": 989.49, "word": " of", "probability": 0.50439453125}, {"start": 989.49, "end": 989.53, "word": " the", "probability": 0.89599609375}, {"start": 989.53, "end": 989.85, "word": " prism", "probability": 0.960693359375}, {"start": 989.85, "end": 990.07, "word": " This", "probability": 0.427978515625}, {"start": 990.07, "end": 990.17, "word": " is", "probability": 0.9501953125}, {"start": 990.17, "end": 990.41, "word": " based", "probability": 0.85888671875}, {"start": 990.41, "end": 990.75, "word": " out", "probability": 0.89306640625}, {"start": 990.75, "end": 990.89, "word": " of", "probability": 0.95458984375}, {"start": 990.89, "end": 990.89, "word": " the", "probability": 0.9150390625}, {"start": 990.89, "end": 991.23, "word": " prism,", "probability": 0.930908203125}, {"start": 991.39, "end": 991.43, "word": " so", "probability": 0.748046875}, {"start": 991.43, "end": 991.99, "word": " without", "probability": 0.309814453125}, {"start": 991.99, "end": 992.49, "word": " anyone", "probability": 0.74169921875}, {"start": 992.49, "end": 992.77, "word": " telling", "probability": 0.66064453125}, {"start": 992.77, "end": 992.95, "word": " me", "probability": 0.94921875}, {"start": 992.95, "end": 992.99, "word": " that", "probability": 0.61865234375}, {"start": 992.99, "end": 993.13, "word": " I", "probability": 0.94580078125}, {"start": 993.13, "end": 993.43, "word": " can", "probability": 0.65283203125}, {"start": 993.43, "end": 993.77, "word": " know", "probability": 0.68408203125}, {"start": 993.77, "end": 994.37, "word": " the", "probability": 0.6201171875}, {"start": 994.37, "end": 994.67, "word": " direction", "probability": 0.71240234375}, {"start": 994.67, "end": 994.87, "word": " of", "probability": 0.9541015625}, {"start": 994.87, "end": 995.01, "word": " the", "probability": 0.888671875}, {"start": 995.01, "end": 995.33, "word": " base", "probability": 0.71484375}], "temperature": 1.0}, {"id": 42, "seek": 101985, "start": 996.13, "end": 1019.85, "text": "إذا ماقدرتش أعرف، أنا بلبس نفسي النضارة و بشوف لوين زيغا الصورة، الصورة دائما بتنحرف أو بتزوغ باتجاه ال apex بتاعة librism، باتجاه ال apex بتاعة librism، هاي رسمة تمثيلية ل .. او simulation ل librism إنه هذه السلسلة من ال librismات بتصد عن large prism بنفس ال apex angle، بنفس ال apex angle", "tokens": [28814, 15730, 19446, 28543, 43500, 8592, 5551, 3615, 28480, 12399, 41850, 4724, 46152, 3794, 8717, 36178, 1829, 28239, 11242, 9640, 3660, 4032, 4724, 8592, 38688, 5296, 2407, 9957, 30767, 1829, 17082, 995, 31767, 13063, 3660, 12399, 31767, 13063, 3660, 11778, 16373, 15042, 39894, 1863, 5016, 28480, 34051, 39894, 11622, 2407, 17082, 4724, 9307, 7435, 40294, 2423, 48115, 39894, 995, 27884, 4939, 1434, 12399, 4724, 9307, 7435, 40294, 2423, 48115, 39894, 995, 27884, 4939, 1434, 12399, 8032, 47302, 12602, 38251, 3660, 46811, 12984, 26895, 10632, 5296, 4386, 1975, 2407, 16575, 5296, 4939, 1434, 36145, 3224, 29538, 21136, 1211, 3794, 37977, 9154, 2423, 4939, 1434, 9307, 39894, 9381, 3215, 18871, 2416, 582, 1434, 44945, 36178, 2423, 48115, 5802, 12399, 44945, 36178, 2423, 48115, 5802], "avg_logprob": -0.23145325324399685, "compression_ratio": 1.804, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 996.13, "end": 996.49, "word": "إذا", "probability": 0.5073699951171875}, {"start": 996.49, "end": 997.23, "word": " ماقدرتش", "probability": 0.8319091796875}, {"start": 997.23, "end": 997.75, "word": " أعرف،", "probability": 0.745452880859375}, {"start": 997.75, "end": 997.91, "word": " أنا", "probability": 0.931640625}, {"start": 997.91, "end": 998.31, "word": " بلبس", "probability": 0.94091796875}, {"start": 998.31, "end": 998.69, "word": " نفسي", "probability": 0.9949544270833334}, {"start": 998.69, "end": 999.23, "word": " النضارة", "probability": 0.91796875}, {"start": 999.23, "end": 999.27, "word": " و", "probability": 0.65087890625}, {"start": 999.27, "end": 999.79, "word": " بشوف", "probability": 0.9508463541666666}, {"start": 999.79, "end": 1000.63, "word": " لوين", "probability": 0.8497721354166666}, {"start": 1000.63, "end": 1001.13, "word": " زيغا", "probability": 0.77484130859375}, {"start": 1001.13, "end": 1001.83, "word": " الصورة،", "probability": 0.84954833984375}, {"start": 1001.83, "end": 1002.61, "word": " الصورة", "probability": 0.9392903645833334}, {"start": 1002.61, "end": 1002.99, "word": " دائما", "probability": 0.8680013020833334}, {"start": 1002.99, "end": 1003.97, "word": " بتنحرف", "probability": 0.89990234375}, {"start": 1003.97, "end": 1004.17, "word": " أو", "probability": 0.71728515625}, {"start": 1004.17, "end": 1004.63, "word": " بتزوغ", "probability": 0.9158935546875}, {"start": 1004.63, "end": 1005.17, "word": " باتجاه", "probability": 0.9267578125}, {"start": 1005.17, "end": 1005.37, "word": " ال", "probability": 0.9853515625}, {"start": 1005.37, "end": 1005.69, "word": " apex", "probability": 0.6640625}, {"start": 1005.69, "end": 1006.17, "word": " بتاعة", "probability": 0.5953776041666666}, {"start": 1006.17, "end": 1007.03, "word": " librism،", "probability": 0.5103352864583334}, {"start": 1007.03, "end": 1007.49, "word": " باتجاه", "probability": 0.8660888671875}, {"start": 1007.49, "end": 1007.67, "word": " ال", "probability": 0.98193359375}, {"start": 1007.67, "end": 1007.95, "word": " apex", "probability": 0.8369140625}, {"start": 1007.95, "end": 1008.43, "word": " بتاعة", "probability": 0.9318033854166666}, {"start": 1008.43, "end": 1009.55, "word": " librism،", "probability": 0.765625}, {"start": 1009.55, "end": 1009.69, "word": " هاي", "probability": 0.705322265625}, {"start": 1009.69, "end": 1010.05, "word": " رسمة", "probability": 0.931640625}, {"start": 1010.05, "end": 1010.71, "word": " تمثيلية", "probability": 0.86279296875}, {"start": 1010.71, "end": 1010.85, "word": " ل", "probability": 0.74462890625}, {"start": 1010.85, "end": 1011.07, "word": " ..", "probability": 0.7255859375}, {"start": 1011.07, "end": 1011.29, "word": " او", "probability": 0.739013671875}, {"start": 1011.29, "end": 1011.85, "word": " simulation", "probability": 0.970703125}, {"start": 1011.85, "end": 1012.03, "word": " ل", "probability": 0.9521484375}, {"start": 1012.03, "end": 1012.47, "word": " librism", "probability": 0.7105712890625}, {"start": 1012.47, "end": 1012.91, "word": " إنه", "probability": 0.6392822265625}, {"start": 1012.91, "end": 1013.49, "word": " هذه", "probability": 0.67529296875}, {"start": 1013.49, "end": 1014.01, "word": " السلسلة", "probability": 0.9586181640625}, {"start": 1014.01, "end": 1014.11, "word": " من", "probability": 0.9267578125}, {"start": 1014.11, "end": 1014.21, "word": " ال", "probability": 0.6630859375}, {"start": 1014.21, "end": 1014.81, "word": " librismات", "probability": 0.8390299479166666}, {"start": 1014.81, "end": 1015.33, "word": " بتصد", "probability": 0.8600260416666666}, {"start": 1015.33, "end": 1015.63, "word": " عن", "probability": 0.52783203125}, {"start": 1015.63, "end": 1016.45, "word": " large", "probability": 0.97802734375}, {"start": 1016.45, "end": 1016.89, "word": " prism", "probability": 0.6912841796875}, {"start": 1016.89, "end": 1017.39, "word": " بنفس", "probability": 0.94091796875}, {"start": 1017.39, "end": 1017.59, "word": " ال", "probability": 0.99609375}, {"start": 1017.59, "end": 1017.97, "word": " apex", "probability": 0.9091796875}, {"start": 1017.97, "end": 1018.61, "word": " angle،", "probability": 0.8984375}, {"start": 1018.61, "end": 1018.93, "word": " بنفس", "probability": 0.989501953125}, {"start": 1018.93, "end": 1019.09, "word": " ال", "probability": 0.994140625}, {"start": 1019.09, "end": 1019.39, "word": " apex", "probability": 0.875}, {"start": 1019.39, "end": 1019.85, "word": " angle", "probability": 0.90625}], "temperature": 1.0}, {"id": 43, "seek": 103858, "start": 1021.34, "end": 1038.58, "text": "طبعا ال friendly prism is typically used to avoid the weight of some of .. and some to avoid weight عشان اتجنب الوزن الثقيل لل large prism and some of aberrations of conventional prism عشان اتجنب ال aberrations اللي حكينا عنها قبل شوية", "tokens": [9566, 3555, 3615, 995, 2423, 9208, 582, 1434, 307, 5850, 1143, 281, 5042, 264, 3364, 295, 512, 295, 4386, 293, 512, 281, 5042, 3364, 6225, 8592, 7649, 1975, 2655, 7435, 1863, 3555, 2423, 2407, 11622, 1863, 6024, 104, 4587, 26895, 24976, 2416, 582, 1434, 293, 512, 295, 4340, 12154, 295, 16011, 582, 1434, 6225, 8592, 7649, 1975, 2655, 7435, 1863, 3555, 2423, 4340, 12154, 13672, 1829, 11331, 4117, 1829, 8315, 18871, 11296, 12174, 36150, 13412, 2407, 10632], "avg_logprob": -0.15685095695348886, "compression_ratio": 1.5473684210526315, "no_speech_prob": 2.2649765014648438e-06, "words": [{"start": 1021.34, "end": 1021.78, "word": "طبعا", "probability": 0.78240966796875}, {"start": 1021.78, "end": 1021.94, "word": " ال", "probability": 0.343994140625}, {"start": 1021.94, "end": 1022.3, "word": " friendly", "probability": 0.15625}, {"start": 1022.3, "end": 1022.78, "word": " prism", "probability": 0.85009765625}, {"start": 1022.78, "end": 1023.22, "word": " is", "probability": 0.95947265625}, {"start": 1023.22, "end": 1023.74, "word": " typically", "probability": 0.8544921875}, {"start": 1023.74, "end": 1024.22, "word": " used", "probability": 0.9013671875}, {"start": 1024.22, "end": 1024.42, "word": " to", "probability": 0.9619140625}, {"start": 1024.42, "end": 1024.82, "word": " avoid", "probability": 0.89306640625}, {"start": 1024.82, "end": 1025.04, "word": " the", "probability": 0.7060546875}, {"start": 1025.04, "end": 1025.36, "word": " weight", "probability": 0.9013671875}, {"start": 1025.36, "end": 1025.56, "word": " of", "probability": 0.9580078125}, {"start": 1025.56, "end": 1025.9, "word": " some", "probability": 0.90625}, {"start": 1025.9, "end": 1026.16, "word": " of", "probability": 0.64794921875}, {"start": 1026.16, "end": 1026.44, "word": " ..", "probability": 0.7060546875}, {"start": 1026.44, "end": 1026.78, "word": " and", "probability": 0.6591796875}, {"start": 1026.78, "end": 1027.14, "word": " some", "probability": 0.92626953125}, {"start": 1027.14, "end": 1027.8, "word": " to", "probability": 0.7294921875}, {"start": 1027.8, "end": 1028.2, "word": " avoid", "probability": 0.9228515625}, {"start": 1028.2, "end": 1028.66, "word": " weight", "probability": 0.9033203125}, {"start": 1028.66, "end": 1029.4, "word": " عشان", "probability": 0.8219401041666666}, {"start": 1029.4, "end": 1029.88, "word": " اتجنب", "probability": 0.89736328125}, {"start": 1029.88, "end": 1030.28, "word": " الوزن", "probability": 0.990966796875}, {"start": 1030.28, "end": 1030.76, "word": " الثقيل", "probability": 0.9290771484375}, {"start": 1030.76, "end": 1030.92, "word": " لل", "probability": 0.93994140625}, {"start": 1030.92, "end": 1031.22, "word": " large", "probability": 0.8466796875}, {"start": 1031.22, "end": 1031.66, "word": " prism", "probability": 0.849853515625}, {"start": 1031.66, "end": 1032.32, "word": " and", "probability": 0.55224609375}, {"start": 1032.32, "end": 1032.7, "word": " some", "probability": 0.93310546875}, {"start": 1032.7, "end": 1032.96, "word": " of", "probability": 0.97314453125}, {"start": 1032.96, "end": 1033.74, "word": " aberrations", "probability": 0.8779296875}, {"start": 1033.74, "end": 1034.16, "word": " of", "probability": 0.9775390625}, {"start": 1034.16, "end": 1034.86, "word": " conventional", "probability": 0.89013671875}, {"start": 1034.86, "end": 1035.44, "word": " prism", "probability": 0.916259765625}, {"start": 1035.44, "end": 1035.82, "word": " عشان", "probability": 0.9860026041666666}, {"start": 1035.82, "end": 1036.44, "word": " اتجنب", "probability": 0.95888671875}, {"start": 1036.44, "end": 1036.54, "word": " ال", "probability": 0.9716796875}, {"start": 1036.54, "end": 1037.1, "word": " aberrations", "probability": 0.841064453125}, {"start": 1037.1, "end": 1037.26, "word": " اللي", "probability": 0.90966796875}, {"start": 1037.26, "end": 1037.6, "word": " حكينا", "probability": 0.978515625}, {"start": 1037.6, "end": 1037.82, "word": " عنها", "probability": 0.980224609375}, {"start": 1037.82, "end": 1038.1, "word": " قبل", "probability": 0.943359375}, {"start": 1038.1, "end": 1038.58, "word": " شوية", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 44, "seek": 105267, "start": 1038.97, "end": 1052.67, "text": "which is chromatic aberration, asymmetrical field, asymmetrical magnification, curvature of field, and so on The most popular form of Fresnel prism is a membrane", "tokens": [13690, 307, 16209, 2399, 4340, 2405, 11, 37277, 32283, 2519, 11, 37277, 32283, 4944, 3774, 11, 37638, 295, 2519, 11, 293, 370, 322, 440, 881, 3743, 1254, 295, 42618, 6396, 582, 1434, 307, 257, 19651], "avg_logprob": -0.354383678899871, "compression_ratio": 1.376068376068376, "no_speech_prob": 2.4437904357910156e-06, "words": [{"start": 1038.97, "end": 1039.39, "word": "which", "probability": 0.267822265625}, {"start": 1039.39, "end": 1039.59, "word": " is", "probability": 0.354736328125}, {"start": 1039.59, "end": 1040.21, "word": " chromatic", "probability": 0.7783203125}, {"start": 1040.21, "end": 1040.85, "word": " aberration,", "probability": 0.93505859375}, {"start": 1041.03, "end": 1041.73, "word": " asymmetrical", "probability": 0.788818359375}, {"start": 1041.73, "end": 1042.23, "word": " field,", "probability": 0.66552734375}, {"start": 1043.59, "end": 1045.47, "word": " asymmetrical", "probability": 0.769287109375}, {"start": 1045.47, "end": 1046.29, "word": " magnification,", "probability": 0.940673828125}, {"start": 1046.49, "end": 1046.87, "word": " curvature", "probability": 0.77978515625}, {"start": 1046.87, "end": 1047.23, "word": " of", "probability": 0.966796875}, {"start": 1047.23, "end": 1047.59, "word": " field,", "probability": 0.83447265625}, {"start": 1048.07, "end": 1048.09, "word": " and", "probability": 0.55029296875}, {"start": 1048.09, "end": 1048.27, "word": " so", "probability": 0.5888671875}, {"start": 1048.27, "end": 1048.43, "word": " on", "probability": 0.79541015625}, {"start": 1048.43, "end": 1049.19, "word": " The", "probability": 0.404052734375}, {"start": 1049.19, "end": 1049.51, "word": " most", "probability": 0.91259765625}, {"start": 1049.51, "end": 1049.99, "word": " popular", "probability": 0.92236328125}, {"start": 1049.99, "end": 1050.45, "word": " form", "probability": 0.86474609375}, {"start": 1050.45, "end": 1050.65, "word": " of", "probability": 0.9599609375}, {"start": 1050.65, "end": 1051.15, "word": " Fresnel", "probability": 0.63330078125}, {"start": 1051.15, "end": 1051.59, "word": " prism", "probability": 0.7666015625}, {"start": 1051.59, "end": 1051.91, "word": " is", "probability": 0.93896484375}, {"start": 1051.91, "end": 1052.13, "word": " a", "probability": 0.93896484375}, {"start": 1052.13, "end": 1052.67, "word": " membrane", "probability": 0.9091796875}], "temperature": 1.0}, {"id": 45, "seek": 107632, "start": 1059.14, "end": 1076.32, "text": "molded from clear polyvinylachloride مصنوع من مادة الـ polyvinylachloride الشفافة ومعروف إله اسم بيسموه Fresnel Prism أو بيسموه Press-on Prism Press-on Prism يعني بنضغط على السطح الخلفي ل", "tokens": [76, 2641, 292, 490, 1850, 6754, 85, 22946, 608, 6746, 482, 3714, 9381, 1863, 45367, 9154, 3714, 18513, 3660, 2423, 39184, 6754, 85, 22946, 608, 6746, 482, 25124, 5172, 31845, 3660, 4032, 2304, 3615, 32887, 5172, 11933, 43761, 24525, 2304, 4724, 1829, 38251, 2407, 3224, 42618, 6396, 2114, 1434, 34051, 4724, 1829, 38251, 2407, 3224, 6776, 12, 266, 2114, 1434, 6776, 12, 266, 2114, 1434, 37495, 22653, 44945, 11242, 17082, 9566, 15844, 21136, 9566, 5016, 33962, 1211, 41185, 5296], "avg_logprob": -0.27695313170552255, "compression_ratio": 1.4576271186440677, "no_speech_prob": 0.0001112222671508789, "words": [{"start": 1059.14, "end": 1060.0, "word": "molded", "probability": 0.7693684895833334}, {"start": 1060.0, "end": 1060.44, "word": " from", "probability": 0.9052734375}, {"start": 1060.44, "end": 1061.12, "word": " clear", "probability": 0.861328125}, {"start": 1061.12, "end": 1063.0, "word": " polyvinylachloride", "probability": 0.7892303466796875}, {"start": 1063.0, "end": 1063.84, "word": " مصنوع", "probability": 0.7428741455078125}, {"start": 1063.84, "end": 1064.0, "word": " من", "probability": 0.9912109375}, {"start": 1064.0, "end": 1064.48, "word": " مادة", "probability": 0.95654296875}, {"start": 1064.48, "end": 1064.7, "word": " الـ", "probability": 0.650634765625}, {"start": 1064.7, "end": 1065.84, "word": " polyvinylachloride", "probability": 0.8766276041666666}, {"start": 1065.84, "end": 1066.68, "word": " الشفافة", "probability": 0.9710693359375}, {"start": 1066.68, "end": 1068.14, "word": " ومعروف", "probability": 0.84736328125}, {"start": 1068.14, "end": 1068.54, "word": " إله", "probability": 0.50982666015625}, {"start": 1068.54, "end": 1068.96, "word": " اسم", "probability": 0.87158203125}, {"start": 1068.96, "end": 1070.24, "word": " بيسموه", "probability": 0.67880859375}, {"start": 1070.24, "end": 1070.56, "word": " Fresnel", "probability": 0.5645751953125}, {"start": 1070.56, "end": 1070.88, "word": " Prism", "probability": 0.853759765625}, {"start": 1070.88, "end": 1071.06, "word": " أو", "probability": 0.73681640625}, {"start": 1071.06, "end": 1071.54, "word": " بيسموه", "probability": 0.970703125}, {"start": 1071.54, "end": 1071.96, "word": " Press", "probability": 0.458740234375}, {"start": 1071.96, "end": 1072.32, "word": "-on", "probability": 0.736328125}, {"start": 1072.32, "end": 1072.76, "word": " Prism", "probability": 0.959228515625}, {"start": 1072.76, "end": 1073.7, "word": " Press", "probability": 0.82470703125}, {"start": 1073.7, "end": 1073.9, "word": "-on", "probability": 0.921142578125}, {"start": 1073.9, "end": 1074.26, "word": " Prism", "probability": 0.985595703125}, {"start": 1074.26, "end": 1074.5, "word": " يعني", "probability": 0.921630859375}, {"start": 1074.5, "end": 1075.04, "word": " بنضغط", "probability": 0.86279296875}, {"start": 1075.04, "end": 1075.18, "word": " على", "probability": 0.72607421875}, {"start": 1075.18, "end": 1075.54, "word": " السطح", "probability": 0.93359375}, {"start": 1075.54, "end": 1076.08, "word": " الخلفي", "probability": 0.7945149739583334}, {"start": 1076.08, "end": 1076.32, "word": " ل", "probability": 0.92626953125}], "temperature": 1.0}, {"id": 46, "seek": 110484, "start": 1078.45, "end": 1104.85, "text": "It is applied with water to the back surface on the ordinary spectacle lens على النضارة العادية Press-on prisms are available in a variety of powers Visual acuity is reduced because of light scattering at the groove edges", "tokens": [3522, 307, 6456, 365, 1281, 281, 264, 646, 3753, 322, 264, 10547, 37303, 6765, 15844, 28239, 11242, 9640, 3660, 18863, 18513, 10632, 6776, 12, 266, 582, 13539, 366, 2435, 294, 257, 5673, 295, 8674, 23187, 696, 21757, 307, 9212, 570, 295, 1442, 42314, 412, 264, 26910, 8819], "avg_logprob": -0.25016277345518273, "compression_ratio": 1.2795698924731183, "no_speech_prob": 4.470348358154297e-06, "words": [{"start": 1078.45, "end": 1079.25, "word": "It", "probability": 0.310302734375}, {"start": 1079.25, "end": 1079.79, "word": " is", "probability": 0.91943359375}, {"start": 1079.79, "end": 1080.17, "word": " applied", "probability": 0.80712890625}, {"start": 1080.17, "end": 1080.57, "word": " with", "probability": 0.92138671875}, {"start": 1080.57, "end": 1081.03, "word": " water", "probability": 0.87060546875}, {"start": 1081.03, "end": 1081.25, "word": " to", "probability": 0.9677734375}, {"start": 1081.25, "end": 1081.43, "word": " the", "probability": 0.92236328125}, {"start": 1081.43, "end": 1081.63, "word": " back", "probability": 0.8212890625}, {"start": 1081.63, "end": 1082.07, "word": " surface", "probability": 0.908203125}, {"start": 1082.07, "end": 1082.39, "word": " on", "probability": 0.88916015625}, {"start": 1082.39, "end": 1082.53, "word": " the", "probability": 0.8984375}, {"start": 1082.53, "end": 1083.01, "word": " ordinary", "probability": 0.8828125}, {"start": 1083.01, "end": 1083.63, "word": " spectacle", "probability": 0.61279296875}, {"start": 1083.63, "end": 1084.15, "word": " lens", "probability": 0.916015625}, {"start": 1084.15, "end": 1084.67, "word": " على", "probability": 0.2890625}, {"start": 1084.67, "end": 1085.37, "word": " النضارة", "probability": 0.951416015625}, {"start": 1085.37, "end": 1086.61, "word": " العادية", "probability": 0.8507486979166666}, {"start": 1086.61, "end": 1086.93, "word": " Press", "probability": 0.08880615234375}, {"start": 1086.93, "end": 1087.23, "word": "-on", "probability": 0.810791015625}, {"start": 1087.23, "end": 1087.67, "word": " prisms", "probability": 0.74853515625}, {"start": 1087.67, "end": 1088.05, "word": " are", "probability": 0.9462890625}, {"start": 1088.05, "end": 1088.57, "word": " available", "probability": 0.82958984375}, {"start": 1088.57, "end": 1088.89, "word": " in", "probability": 0.96044921875}, {"start": 1088.89, "end": 1089.11, "word": " a", "probability": 0.9541015625}, {"start": 1089.11, "end": 1089.47, "word": " variety", "probability": 0.89111328125}, {"start": 1089.47, "end": 1089.73, "word": " of", "probability": 0.9765625}, {"start": 1089.73, "end": 1090.11, "word": " powers", "probability": 0.8671875}, {"start": 1090.11, "end": 1093.71, "word": " Visual", "probability": 0.19970703125}, {"start": 1093.71, "end": 1098.15, "word": " acuity", "probability": 0.859375}, {"start": 1098.15, "end": 1098.57, "word": " is", "probability": 0.82275390625}, {"start": 1098.57, "end": 1101.83, "word": " reduced", "probability": 0.90234375}, {"start": 1101.83, "end": 1102.35, "word": " because", "probability": 0.9228515625}, {"start": 1102.35, "end": 1102.63, "word": " of", "probability": 0.9755859375}, {"start": 1102.63, "end": 1102.89, "word": " light", "probability": 0.8662109375}, {"start": 1102.89, "end": 1103.51, "word": " scattering", "probability": 0.90625}, {"start": 1103.51, "end": 1103.87, "word": " at", "probability": 0.96826171875}, {"start": 1103.87, "end": 1104.05, "word": " the", "probability": 0.89990234375}, {"start": 1104.05, "end": 1104.29, "word": " groove", "probability": 0.8994140625}, {"start": 1104.29, "end": 1104.85, "word": " edges", "probability": 0.94091796875}], "temperature": 1.0}, {"id": 47, "seek": 113125, "start": 1105.61, "end": 1131.25, "text": "means that the convergence of these grooves between the small prisms makes a scattering of light that is less than the width of the eye instead of being 6x6 it can be 6x9 or 6x12 and so on so visual acuity is reduced because of light scattering at the groove edges this is the first flaw which is visual acuity reduction", "tokens": [1398, 599, 300, 264, 32181, 295, 613, 49359, 1296, 264, 1359, 582, 13539, 1669, 257, 42314, 295, 1442, 300, 307, 1570, 813, 264, 11402, 295, 264, 3313, 2602, 295, 885, 1386, 87, 21, 309, 393, 312, 1386, 87, 24, 420, 1386, 87, 4762, 293, 370, 322, 370, 5056, 696, 21757, 307, 9212, 570, 295, 1442, 42314, 412, 264, 26910, 8819, 341, 307, 264, 700, 13717, 597, 307, 5056, 696, 21757, 11004], "avg_logprob": -0.4965277951624658, "compression_ratio": 1.693121693121693, "no_speech_prob": 1.6689300537109375e-06, "words": [{"start": 1105.61, "end": 1106.13, "word": "means", "probability": 0.545166015625}, {"start": 1106.13, "end": 1106.45, "word": " that", "probability": 0.58642578125}, {"start": 1106.45, "end": 1106.47, "word": " the", "probability": 0.58642578125}, {"start": 1106.47, "end": 1106.75, "word": " convergence", "probability": 0.0423583984375}, {"start": 1106.75, "end": 1107.27, "word": " of", "probability": 0.75390625}, {"start": 1107.27, "end": 1107.41, "word": " these", "probability": 0.404296875}, {"start": 1107.41, "end": 1107.87, "word": " grooves", "probability": 0.442626953125}, {"start": 1107.87, "end": 1109.37, "word": " between", "probability": 0.55419921875}, {"start": 1109.37, "end": 1109.79, "word": " the", "probability": 0.338623046875}, {"start": 1109.79, "end": 1110.81, "word": " small", "probability": 0.70361328125}, {"start": 1110.81, "end": 1110.81, "word": " prisms", "probability": 0.703857421875}, {"start": 1110.81, "end": 1111.71, "word": " makes", "probability": 0.12457275390625}, {"start": 1111.71, "end": 1111.97, "word": " a", "probability": 0.422119140625}, {"start": 1111.97, "end": 1112.37, "word": " scattering", "probability": 0.87255859375}, {"start": 1112.37, "end": 1112.73, "word": " of", "probability": 0.95849609375}, {"start": 1112.73, "end": 1113.01, "word": " light", "probability": 0.8740234375}, {"start": 1113.01, "end": 1113.21, "word": " that", "probability": 0.140869140625}, {"start": 1113.21, "end": 1113.45, "word": " is", "probability": 0.318603515625}, {"start": 1113.45, "end": 1113.81, "word": " less", "probability": 0.47021484375}, {"start": 1113.81, "end": 1114.09, "word": " than", "probability": 0.90234375}, {"start": 1114.09, "end": 1114.17, "word": " the", "probability": 0.80615234375}, {"start": 1114.17, "end": 1114.49, "word": " width", "probability": 0.17724609375}, {"start": 1114.49, "end": 1114.79, "word": " of", "probability": 0.9462890625}, {"start": 1114.79, "end": 1114.89, "word": " the", "probability": 0.79638671875}, {"start": 1114.89, "end": 1115.19, "word": " eye", "probability": 0.2685546875}, {"start": 1115.19, "end": 1117.71, "word": " instead", "probability": 0.306884765625}, {"start": 1117.71, "end": 1118.73, "word": " of", "probability": 0.96435546875}, {"start": 1118.73, "end": 1118.97, "word": " being", "probability": 0.3623046875}, {"start": 1118.97, "end": 1119.63, "word": " 6x6", "probability": 0.6925048828125}, {"start": 1119.63, "end": 1119.73, "word": " it", "probability": 0.5244140625}, {"start": 1119.73, "end": 1119.85, "word": " can", "probability": 0.49169921875}, {"start": 1119.85, "end": 1120.03, "word": " be", "probability": 0.80126953125}, {"start": 1120.03, "end": 1120.83, "word": " 6x9", "probability": 0.9763997395833334}, {"start": 1120.83, "end": 1121.07, "word": " or", "probability": 0.90576171875}, {"start": 1121.07, "end": 1122.51, "word": " 6x12", "probability": 0.9736328125}, {"start": 1122.51, "end": 1122.65, "word": " and", "probability": 0.34814453125}, {"start": 1122.65, "end": 1122.87, "word": " so", "probability": 0.8134765625}, {"start": 1122.87, "end": 1123.31, "word": " on", "probability": 0.87353515625}, {"start": 1123.31, "end": 1123.51, "word": " so", "probability": 0.20703125}, {"start": 1123.51, "end": 1123.89, "word": " visual", "probability": 0.748046875}, {"start": 1123.89, "end": 1124.45, "word": " acuity", "probability": 0.94140625}, {"start": 1124.45, "end": 1124.73, "word": " is", "probability": 0.9306640625}, {"start": 1124.73, "end": 1125.17, "word": " reduced", "probability": 0.9150390625}, {"start": 1125.17, "end": 1125.61, "word": " because", "probability": 0.880859375}, {"start": 1125.61, "end": 1125.89, "word": " of", "probability": 0.9140625}, {"start": 1125.89, "end": 1126.17, "word": " light", "probability": 0.8291015625}, {"start": 1126.17, "end": 1126.73, "word": " scattering", "probability": 0.90869140625}, {"start": 1126.73, "end": 1127.07, "word": " at", "probability": 0.67919921875}, {"start": 1127.07, "end": 1127.19, "word": " the", "probability": 0.86865234375}, {"start": 1127.19, "end": 1127.43, "word": " groove", "probability": 0.74853515625}, {"start": 1127.43, "end": 1127.79, "word": " edges", "probability": 0.94384765625}, {"start": 1127.79, "end": 1127.97, "word": " this", "probability": 0.50048828125}, {"start": 1127.97, "end": 1128.05, "word": " is", "probability": 0.9267578125}, {"start": 1128.05, "end": 1128.19, "word": " the", "probability": 0.84814453125}, {"start": 1128.19, "end": 1128.37, "word": " first", "probability": 0.88134765625}, {"start": 1128.37, "end": 1128.75, "word": " flaw", "probability": 0.273193359375}, {"start": 1128.75, "end": 1129.23, "word": " which", "probability": 0.2301025390625}, {"start": 1129.23, "end": 1129.31, "word": " is", "probability": 0.8857421875}, {"start": 1129.31, "end": 1129.55, "word": " visual", "probability": 0.79150390625}, {"start": 1129.55, "end": 1130.23, "word": " acuity", "probability": 0.9501953125}, {"start": 1130.23, "end": 1131.25, "word": " reduction", "probability": 0.947265625}], "temperature": 1.0}, {"id": 48, "seek": 115099, "start": 1134.05, "end": 1150.99, "text": "But the chromatic aberration of the prisms themselves produce the most .. produces most of the visual decrement. The visual acuity be .. be .. be .. be .. be .. be .. be less than if the prisms are not present, if the Fresnel prism is not present", "tokens": [7835, 264, 16209, 2399, 4340, 2405, 295, 264, 582, 13539, 2969, 5258, 264, 881, 4386, 14725, 881, 295, 264, 5056, 6853, 518, 13, 440, 5056, 696, 21757, 312, 4386, 312, 4386, 312, 4386, 312, 4386, 312, 4386, 312, 4386, 312, 1570, 813, 498, 264, 582, 13539, 366, 406, 1974, 11, 498, 264, 42618, 6396, 582, 1434, 307, 406, 1974], "avg_logprob": -0.33541667759418486, "compression_ratio": 1.849624060150376, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1134.05, "end": 1134.31, "word": "But", "probability": 0.50732421875}, {"start": 1134.31, "end": 1134.53, "word": " the", "probability": 0.8896484375}, {"start": 1134.53, "end": 1135.03, "word": " chromatic", "probability": 0.9404296875}, {"start": 1135.03, "end": 1135.73, "word": " aberration", "probability": 0.9306640625}, {"start": 1135.73, "end": 1136.49, "word": " of", "probability": 0.9638671875}, {"start": 1136.49, "end": 1136.71, "word": " the", "probability": 0.92529296875}, {"start": 1136.71, "end": 1136.99, "word": " prisms", "probability": 0.6689453125}, {"start": 1136.99, "end": 1137.73, "word": " themselves", "probability": 0.634765625}, {"start": 1137.73, "end": 1138.65, "word": " produce", "probability": 0.2783203125}, {"start": 1138.65, "end": 1138.93, "word": " the", "probability": 0.88232421875}, {"start": 1138.93, "end": 1139.51, "word": " most", "probability": 0.927734375}, {"start": 1139.51, "end": 1140.49, "word": " ..", "probability": 0.73779296875}, {"start": 1140.49, "end": 1141.27, "word": " produces", "probability": 0.5517578125}, {"start": 1141.27, "end": 1141.77, "word": " most", "probability": 0.87646484375}, {"start": 1141.77, "end": 1141.99, "word": " of", "probability": 0.9765625}, {"start": 1141.99, "end": 1142.13, "word": " the", "probability": 0.92578125}, {"start": 1142.13, "end": 1142.45, "word": " visual", "probability": 0.97265625}, {"start": 1142.45, "end": 1142.93, "word": " decrement.", "probability": 0.8271484375}, {"start": 1143.39, "end": 1143.49, "word": " The", "probability": 0.484619140625}, {"start": 1143.49, "end": 1143.75, "word": " visual", "probability": 0.9716796875}, {"start": 1143.75, "end": 1144.41, "word": " acuity", "probability": 0.938232421875}, {"start": 1144.41, "end": 1145.01, "word": " be", "probability": 0.1522216796875}, {"start": 1145.01, "end": 1145.09, "word": " ..", "probability": 0.94677734375}, {"start": 1145.09, "end": 1145.35, "word": " be", "probability": 0.9345703125}, {"start": 1145.35, "end": 1145.35, "word": " ..", "probability": 0.97705078125}, {"start": 1145.35, "end": 1145.85, "word": " be", "probability": 0.9423828125}, {"start": 1145.85, "end": 1145.95, "word": " ..", "probability": 0.96630859375}, {"start": 1145.95, "end": 1146.09, "word": " be", "probability": 0.89501953125}, {"start": 1146.09, "end": 1146.09, "word": " ..", "probability": 0.9306640625}, {"start": 1146.09, "end": 1146.23, "word": " be", "probability": 0.8037109375}, {"start": 1146.23, "end": 1146.29, "word": " ..", "probability": 0.80126953125}, {"start": 1146.29, "end": 1146.31, "word": " be", "probability": 0.73046875}, {"start": 1146.31, "end": 1146.31, "word": " ..", "probability": 0.5322265625}, {"start": 1146.31, "end": 1146.43, "word": " be", "probability": 0.70068359375}, {"start": 1146.43, "end": 1146.81, "word": " less", "probability": 0.435791015625}, {"start": 1146.81, "end": 1147.19, "word": " than", "probability": 0.84130859375}, {"start": 1147.19, "end": 1147.91, "word": " if", "probability": 0.74560546875}, {"start": 1147.91, "end": 1148.19, "word": " the", "probability": 0.7685546875}, {"start": 1148.19, "end": 1148.61, "word": " prisms", "probability": 0.715576171875}, {"start": 1148.61, "end": 1148.83, "word": " are", "probability": 0.314453125}, {"start": 1148.83, "end": 1148.91, "word": " not", "probability": 0.693359375}, {"start": 1148.91, "end": 1149.37, "word": " present,", "probability": 0.53173828125}, {"start": 1149.47, "end": 1149.61, "word": " if", "probability": 0.85009765625}, {"start": 1149.61, "end": 1149.71, "word": " the", "probability": 0.78466796875}, {"start": 1149.71, "end": 1150.03, "word": " Fresnel", "probability": 0.48883056640625}, {"start": 1150.03, "end": 1150.39, "word": " prism", "probability": 0.846435546875}, {"start": 1150.39, "end": 1150.55, "word": " is", "probability": 0.75830078125}, {"start": 1150.55, "end": 1150.59, "word": " not", "probability": 0.8955078125}, {"start": 1150.59, "end": 1150.99, "word": " present", "probability": 0.9091796875}], "temperature": 1.0}, {"id": 49, "seek": 117425, "start": 1151.41, "end": 1174.25, "text": "because of light scattering and because of chromatic aberration, which is one of the most important factors in vision loss. If someone asks me what is the reason for wearing a press-on prism or friendly prism with his glasses, he will have a reduction in vision for two reasons. The first reason is chromatic aberration, which is the most important factor. The second reason is light scattering.", "tokens": [17566, 295, 1442, 42314, 293, 570, 295, 16209, 2399, 4340, 2405, 11, 597, 307, 472, 295, 264, 881, 1021, 6771, 294, 5201, 4470, 13, 759, 1580, 8962, 385, 437, 307, 264, 1778, 337, 4769, 257, 1886, 12, 266, 582, 1434, 420, 431, 1053, 67, 356, 582, 1434, 365, 702, 10812, 11, 415, 486, 362, 257, 11004, 294, 5201, 337, 732, 4112, 13, 440, 700, 1778, 307, 16209, 2399, 4340, 2405, 11, 597, 307, 264, 881, 1021, 5952, 13, 440, 1150, 1778, 307, 1442, 42314, 13], "avg_logprob": -0.545784862235535, "compression_ratio": 1.8990384615384615, "no_speech_prob": 3.039836883544922e-06, "words": [{"start": 1151.41, "end": 1151.79, "word": "because", "probability": 0.1878662109375}, {"start": 1151.79, "end": 1152.07, "word": " of", "probability": 0.92138671875}, {"start": 1152.07, "end": 1152.35, "word": " light", "probability": 0.591796875}, {"start": 1152.35, "end": 1152.85, "word": " scattering", "probability": 0.89404296875}, {"start": 1152.85, "end": 1153.63, "word": " and", "probability": 0.114501953125}, {"start": 1153.63, "end": 1154.49, "word": " because", "probability": 0.351806640625}, {"start": 1154.49, "end": 1154.75, "word": " of", "probability": 0.94580078125}, {"start": 1154.75, "end": 1155.27, "word": " chromatic", "probability": 0.78125}, {"start": 1155.27, "end": 1155.73, "word": " aberration,", "probability": 0.9453125}, {"start": 1155.81, "end": 1155.89, "word": " which", "probability": 0.488525390625}, {"start": 1155.89, "end": 1156.07, "word": " is", "probability": 0.8818359375}, {"start": 1156.07, "end": 1156.07, "word": " one", "probability": 0.257080078125}, {"start": 1156.07, "end": 1156.07, "word": " of", "probability": 0.900390625}, {"start": 1156.07, "end": 1156.19, "word": " the", "probability": 0.84814453125}, {"start": 1156.19, "end": 1156.35, "word": " most", "probability": 0.57470703125}, {"start": 1156.35, "end": 1156.53, "word": " important", "probability": 0.8203125}, {"start": 1156.53, "end": 1156.67, "word": " factors", "probability": 0.361083984375}, {"start": 1156.67, "end": 1157.19, "word": " in", "probability": 0.521484375}, {"start": 1157.19, "end": 1157.79, "word": " vision", "probability": 0.07415771484375}, {"start": 1157.79, "end": 1158.35, "word": " loss.", "probability": 0.7861328125}, {"start": 1158.95, "end": 1159.51, "word": " If", "probability": 0.455810546875}, {"start": 1159.51, "end": 1159.91, "word": " someone", "probability": 0.57568359375}, {"start": 1159.91, "end": 1159.91, "word": " asks", "probability": 0.65966796875}, {"start": 1159.91, "end": 1160.61, "word": " me", "probability": 0.87939453125}, {"start": 1160.61, "end": 1160.91, "word": " what", "probability": 0.28564453125}, {"start": 1160.91, "end": 1160.97, "word": " is", "probability": 0.64404296875}, {"start": 1160.97, "end": 1161.35, "word": " the", "probability": 0.9052734375}, {"start": 1161.35, "end": 1161.35, "word": " reason", "probability": 0.896484375}, {"start": 1161.35, "end": 1161.69, "word": " for", "probability": 0.404541015625}, {"start": 1161.69, "end": 1161.97, "word": " wearing", "probability": 0.252197265625}, {"start": 1161.97, "end": 1162.35, "word": " a", "probability": 0.471435546875}, {"start": 1162.35, "end": 1162.59, "word": " press", "probability": 0.2384033203125}, {"start": 1162.59, "end": 1162.85, "word": "-on", "probability": 0.729248046875}, {"start": 1162.85, "end": 1163.31, "word": " prism", "probability": 0.779296875}, {"start": 1163.31, "end": 1163.51, "word": " or", "probability": 0.50537109375}, {"start": 1163.51, "end": 1164.03, "word": " friendly", "probability": 0.638824462890625}, {"start": 1164.03, "end": 1164.45, "word": " prism", "probability": 0.90869140625}, {"start": 1164.45, "end": 1165.07, "word": " with", "probability": 0.53076171875}, {"start": 1165.07, "end": 1165.23, "word": " his", "probability": 0.439697265625}, {"start": 1165.23, "end": 1165.63, "word": " glasses,", "probability": 0.54833984375}, {"start": 1165.83, "end": 1165.95, "word": " he", "probability": 0.276123046875}, {"start": 1165.95, "end": 1166.05, "word": " will", "probability": 0.292724609375}, {"start": 1166.05, "end": 1166.41, "word": " have", "probability": 0.57080078125}, {"start": 1166.41, "end": 1166.57, "word": " a", "probability": 0.468505859375}, {"start": 1166.57, "end": 1166.87, "word": " reduction", "probability": 0.908203125}, {"start": 1166.87, "end": 1167.11, "word": " in", "probability": 0.8974609375}, {"start": 1167.11, "end": 1167.43, "word": " vision", "probability": 0.630859375}, {"start": 1167.43, "end": 1167.59, "word": " for", "probability": 0.28955078125}, {"start": 1167.59, "end": 1168.07, "word": " two", "probability": 0.89306640625}, {"start": 1168.07, "end": 1168.29, "word": " reasons.", "probability": 0.79833984375}, {"start": 1168.73, "end": 1169.17, "word": " The", "probability": 0.66357421875}, {"start": 1169.17, "end": 1169.31, "word": " first", "probability": 0.8505859375}, {"start": 1169.31, "end": 1169.63, "word": " reason", "probability": 0.833984375}, {"start": 1169.63, "end": 1169.79, "word": " is", "probability": 0.59912109375}, {"start": 1169.79, "end": 1170.25, "word": " chromatic", "probability": 0.728271484375}, {"start": 1170.25, "end": 1170.79, "word": " aberration,", "probability": 0.958984375}, {"start": 1170.87, "end": 1170.93, "word": " which", "probability": 0.5703125}, {"start": 1170.93, "end": 1171.05, "word": " is", "probability": 0.93212890625}, {"start": 1171.05, "end": 1171.19, "word": " the", "probability": 0.61669921875}, {"start": 1171.19, "end": 1171.39, "word": " most", "probability": 0.83642578125}, {"start": 1171.39, "end": 1171.39, "word": " important", "probability": 0.8349609375}, {"start": 1171.39, "end": 1171.51, "word": " factor.", "probability": 0.31787109375}, {"start": 1171.53, "end": 1171.71, "word": " The", "probability": 0.6845703125}, {"start": 1171.71, "end": 1171.83, "word": " second", "probability": 0.87548828125}, {"start": 1171.83, "end": 1172.11, "word": " reason", "probability": 0.7626953125}, {"start": 1172.11, "end": 1172.27, "word": " is", "probability": 0.9287109375}, {"start": 1172.27, "end": 1172.71, "word": " light", "probability": 0.73095703125}, {"start": 1172.71, "end": 1174.25, "word": " scattering.", "probability": 0.90478515625}], "temperature": 1.0}, {"id": 50, "seek": 119639, "start": 1191.17, "end": 1196.39, "text": "The advantages of these prisms far outweigh", "tokens": [2278, 14906, 295, 613, 582, 13539, 1400, 484, 826, 910], "avg_logprob": -0.4069602218541232, "compression_ratio": 0.8431372549019608, "no_speech_prob": 3.7550926208496094e-06, "words": [{"start": 1191.1699999999998, "end": 1192.37, "word": "The", "probability": 0.1705322265625}, {"start": 1192.37, "end": 1193.57, "word": " advantages", "probability": 0.487548828125}, {"start": 1193.57, "end": 1194.05, "word": " of", "probability": 0.96875}, {"start": 1194.05, "end": 1194.49, "word": " these", "probability": 0.8056640625}, {"start": 1194.49, "end": 1195.09, "word": " prisms", "probability": 0.7958984375}, {"start": 1195.09, "end": 1195.61, "word": " far", "probability": 0.6865234375}, {"start": 1195.61, "end": 1196.39, "word": " outweigh", "probability": 0.9261067708333334}], "temperature": 1.0}, {"id": 51, "seek": 122352, "start": 1197.36, "end": 1223.52, "text": "the disadvantage. Of course, the advantages of Fresnel Prism are more than its disadvantages and they are widely used in the field of strabismus and orthoptics. Of course, Fresnel Prism is widely used in the field of circumcision and in the field of visual exercises related to circumcision which are orthoptic exercises. Because of their ease of use,", "tokens": [3322, 24292, 13, 2720, 1164, 11, 264, 14906, 295, 42618, 6396, 2114, 1434, 366, 544, 813, 1080, 37431, 293, 436, 366, 13371, 1143, 294, 264, 2519, 295, 2148, 65, 25327, 293, 19052, 5747, 1167, 13, 2720, 1164, 11, 42618, 6396, 2114, 1434, 307, 13371, 1143, 294, 264, 2519, 295, 7125, 40832, 293, 294, 264, 2519, 295, 5056, 11900, 4077, 281, 7125, 40832, 597, 366, 19052, 5747, 299, 11900, 13, 1436, 295, 641, 12708, 295, 764, 11], "avg_logprob": -0.4354707652872259, "compression_ratio": 1.9608938547486034, "no_speech_prob": 1.138448715209961e-05, "words": [{"start": 1197.36, "end": 1197.58, "word": "the", "probability": 0.19580078125}, {"start": 1197.58, "end": 1198.06, "word": " disadvantage.", "probability": 0.5703125}, {"start": 1198.44, "end": 1198.56, "word": " Of", "probability": 0.480712890625}, {"start": 1198.56, "end": 1198.74, "word": " course,", "probability": 0.955078125}, {"start": 1199.1, "end": 1199.14, "word": " the", "probability": 0.24853515625}, {"start": 1199.14, "end": 1199.56, "word": " advantages", "probability": 0.3662109375}, {"start": 1199.56, "end": 1199.88, "word": " of", "probability": 0.91162109375}, {"start": 1199.88, "end": 1200.24, "word": " Fresnel", "probability": 0.5963134765625}, {"start": 1200.24, "end": 1200.64, "word": " Prism", "probability": 0.6693115234375}, {"start": 1200.64, "end": 1201.22, "word": " are", "probability": 0.5634765625}, {"start": 1201.22, "end": 1201.46, "word": " more", "probability": 0.26416015625}, {"start": 1201.46, "end": 1202.3, "word": " than", "probability": 0.83740234375}, {"start": 1202.3, "end": 1202.48, "word": " its", "probability": 0.53515625}, {"start": 1202.48, "end": 1202.76, "word": " disadvantages", "probability": 0.73388671875}, {"start": 1202.76, "end": 1203.62, "word": " and", "probability": 0.48388671875}, {"start": 1203.62, "end": 1203.9, "word": " they", "probability": 0.7978515625}, {"start": 1203.9, "end": 1204.24, "word": " are", "probability": 0.921875}, {"start": 1204.24, "end": 1204.8, "word": " widely", "probability": 0.85693359375}, {"start": 1204.8, "end": 1205.26, "word": " used", "probability": 0.91845703125}, {"start": 1205.26, "end": 1205.46, "word": " in", "probability": 0.9306640625}, {"start": 1205.46, "end": 1205.56, "word": " the", "probability": 0.80615234375}, {"start": 1205.56, "end": 1205.84, "word": " field", "probability": 0.8662109375}, {"start": 1205.84, "end": 1206.02, "word": " of", "probability": 0.9677734375}, {"start": 1206.02, "end": 1206.58, "word": " strabismus", "probability": 0.536865234375}, {"start": 1206.58, "end": 1207.5, "word": " and", "probability": 0.90771484375}, {"start": 1207.5, "end": 1208.2, "word": " orthoptics.", "probability": 0.7596028645833334}, {"start": 1208.5, "end": 1208.62, "word": " Of", "probability": 0.62646484375}, {"start": 1208.62, "end": 1208.76, "word": " course,", "probability": 0.95703125}, {"start": 1209.42, "end": 1209.84, "word": " Fresnel", "probability": 0.937255859375}, {"start": 1209.84, "end": 1210.28, "word": " Prism", "probability": 0.97900390625}, {"start": 1210.28, "end": 1210.56, "word": " is", "probability": 0.8828125}, {"start": 1210.56, "end": 1211.48, "word": " widely", "probability": 0.3955078125}, {"start": 1211.48, "end": 1211.68, "word": " used", "probability": 0.90380859375}, {"start": 1211.68, "end": 1212.42, "word": " in", "probability": 0.85302734375}, {"start": 1212.42, "end": 1212.84, "word": " the", "probability": 0.11004638671875}, {"start": 1212.84, "end": 1213.1, "word": " field", "probability": 0.591796875}, {"start": 1213.1, "end": 1213.58, "word": " of", "probability": 0.9609375}, {"start": 1213.58, "end": 1214.1, "word": " circumcision", "probability": 0.518096923828125}, {"start": 1214.1, "end": 1214.38, "word": " and", "probability": 0.80908203125}, {"start": 1214.38, "end": 1214.5, "word": " in", "probability": 0.357177734375}, {"start": 1214.5, "end": 1214.66, "word": " the", "probability": 0.64990234375}, {"start": 1214.66, "end": 1214.8, "word": " field", "probability": 0.763671875}, {"start": 1214.8, "end": 1215.0, "word": " of", "probability": 0.962890625}, {"start": 1215.0, "end": 1215.08, "word": " visual", "probability": 0.165283203125}, {"start": 1215.08, "end": 1215.96, "word": " exercises", "probability": 0.8583984375}, {"start": 1215.96, "end": 1216.54, "word": " related", "probability": 0.449951171875}, {"start": 1216.54, "end": 1216.86, "word": " to", "probability": 0.94970703125}, {"start": 1216.86, "end": 1217.14, "word": " circumcision", "probability": 0.820068359375}, {"start": 1217.14, "end": 1217.36, "word": " which", "probability": 0.3642578125}, {"start": 1217.36, "end": 1217.46, "word": " are", "probability": 0.3994140625}, {"start": 1217.46, "end": 1218.4, "word": " orthoptic", "probability": 0.9122721354166666}, {"start": 1218.4, "end": 1219.16, "word": " exercises.", "probability": 0.96728515625}, {"start": 1220.92, "end": 1221.62, "word": " Because", "probability": 0.8759765625}, {"start": 1221.62, "end": 1221.86, "word": " of", "probability": 0.96728515625}, {"start": 1221.86, "end": 1222.18, "word": " their", "probability": 0.9287109375}, {"start": 1222.18, "end": 1222.76, "word": " ease", "probability": 0.94287109375}, {"start": 1222.76, "end": 1223.12, "word": " of", "probability": 0.96044921875}, {"start": 1223.12, "end": 1223.52, "word": " use,", "probability": 0.892578125}], "temperature": 1.0}, {"id": 52, "seek": 124266, "start": 1224.58, "end": 1242.66, "text": "of application, because they are easy to use, and lower expenses, which are relatively inexpensive. The breasts on the prisms are especially useful for patients whose strabismus is changing. You might ask, does this person have a squint?", "tokens": [2670, 3861, 11, 570, 436, 366, 1858, 281, 764, 11, 293, 3126, 15506, 11, 597, 366, 7226, 28382, 13, 440, 34331, 322, 264, 582, 13539, 366, 2318, 4420, 337, 4209, 6104, 2148, 65, 25327, 307, 4473, 13, 509, 1062, 1029, 11, 775, 341, 954, 362, 257, 2339, 686, 30], "avg_logprob": -0.5099999904632568, "compression_ratio": 1.427710843373494, "no_speech_prob": 6.198883056640625e-06, "words": [{"start": 1224.58, "end": 1224.84, "word": "of", "probability": 0.4853515625}, {"start": 1224.84, "end": 1225.56, "word": " application,", "probability": 0.830078125}, {"start": 1225.68, "end": 1226.16, "word": " because", "probability": 0.76171875}, {"start": 1226.16, "end": 1226.3, "word": " they", "probability": 0.78564453125}, {"start": 1226.3, "end": 1226.32, "word": " are", "probability": 0.734375}, {"start": 1226.32, "end": 1226.6, "word": " easy", "probability": 0.69384765625}, {"start": 1226.6, "end": 1226.78, "word": " to", "probability": 0.966796875}, {"start": 1226.78, "end": 1227.24, "word": " use,", "probability": 0.88818359375}, {"start": 1227.68, "end": 1228.12, "word": " and", "probability": 0.90283203125}, {"start": 1228.12, "end": 1228.48, "word": " lower", "probability": 0.72021484375}, {"start": 1228.48, "end": 1229.02, "word": " expenses,", "probability": 0.4501953125}, {"start": 1229.16, "end": 1229.16, "word": " which", "probability": 0.55126953125}, {"start": 1229.16, "end": 1229.68, "word": " are", "probability": 0.78173828125}, {"start": 1229.68, "end": 1230.16, "word": " relatively", "probability": 0.494873046875}, {"start": 1230.16, "end": 1231.14, "word": " inexpensive.", "probability": 0.4619140625}, {"start": 1233.42, "end": 1233.56, "word": " The", "probability": 0.09130859375}, {"start": 1233.56, "end": 1233.88, "word": " breasts", "probability": 0.55615234375}, {"start": 1233.88, "end": 1234.1, "word": " on", "probability": 0.89013671875}, {"start": 1234.1, "end": 1234.22, "word": " the", "probability": 0.42041015625}, {"start": 1234.22, "end": 1234.58, "word": " prisms", "probability": 0.539794921875}, {"start": 1234.58, "end": 1235.26, "word": " are", "probability": 0.89794921875}, {"start": 1235.26, "end": 1235.8, "word": " especially", "probability": 0.78466796875}, {"start": 1235.8, "end": 1236.24, "word": " useful", "probability": 0.8427734375}, {"start": 1236.24, "end": 1236.56, "word": " for", "probability": 0.92578125}, {"start": 1236.56, "end": 1237.08, "word": " patients", "probability": 0.822265625}, {"start": 1237.08, "end": 1237.78, "word": " whose", "probability": 0.669921875}, {"start": 1237.78, "end": 1238.52, "word": " strabismus", "probability": 0.85205078125}, {"start": 1238.52, "end": 1238.9, "word": " is", "probability": 0.92333984375}, {"start": 1238.9, "end": 1239.44, "word": " changing.", "probability": 0.9072265625}, {"start": 1239.84, "end": 1240.02, "word": " You", "probability": 0.25439453125}, {"start": 1240.02, "end": 1240.16, "word": " might", "probability": 0.54052734375}, {"start": 1240.16, "end": 1240.66, "word": " ask,", "probability": 0.53955078125}, {"start": 1240.94, "end": 1241.1, "word": " does", "probability": 0.1734619140625}, {"start": 1241.1, "end": 1241.44, "word": " this", "probability": 0.70458984375}, {"start": 1241.44, "end": 1241.94, "word": " person", "probability": 0.8486328125}, {"start": 1241.94, "end": 1242.24, "word": " have", "probability": 0.88818359375}, {"start": 1242.24, "end": 1242.4, "word": " a", "probability": 0.256103515625}, {"start": 1242.4, "end": 1242.66, "word": " squint?", "probability": 0.648681640625}], "temperature": 1.0}, {"id": 53, "seek": 125664, "start": 1243.62, "end": 1256.64, "text": "وممكن نعمله عملية جراحية بس أحياناً كتير بيكون this point variable يعني أو .. or changing يعني من فترة لفترة بتغير أو ممكن يتحسن يعني يكون بدأ بسبب معين يعني مثلا ..", "tokens": [2407, 2304, 43020, 8717, 25957, 43761, 6225, 42213, 10632, 10874, 23557, 5016, 10632, 4724, 3794, 5551, 5016, 1829, 7649, 995, 14111, 9122, 2655, 13546, 4724, 1829, 30544, 341, 935, 7006, 37495, 22653, 34051, 4386, 420, 4473, 37495, 22653, 9154, 6156, 2655, 25720, 5296, 5172, 2655, 25720, 39894, 17082, 13546, 34051, 3714, 43020, 7251, 2655, 5016, 3794, 1863, 37495, 22653, 7251, 30544, 47525, 10721, 4724, 35457, 3555, 20449, 9957, 37495, 22653, 50113, 15040, 4386], "avg_logprob": -0.16459037585032954, "compression_ratio": 1.567251461988304, "no_speech_prob": 3.7729740142822266e-05, "words": [{"start": 1243.62, "end": 1244.28, "word": "وممكن", "probability": 0.6266276041666666}, {"start": 1244.28, "end": 1244.74, "word": " نعمله", "probability": 0.9288736979166666}, {"start": 1244.74, "end": 1245.14, "word": " عملية", "probability": 0.9755859375}, {"start": 1245.14, "end": 1245.68, "word": " جراحية", "probability": 0.9833984375}, {"start": 1245.68, "end": 1245.92, "word": " بس", "probability": 0.723388671875}, {"start": 1245.92, "end": 1246.44, "word": " أحياناً", "probability": 0.8526204427083334}, {"start": 1246.44, "end": 1246.72, "word": " كتير", "probability": 0.91162109375}, {"start": 1246.72, "end": 1247.0, "word": " بيكون", "probability": 0.9261067708333334}, {"start": 1247.0, "end": 1247.18, "word": " this", "probability": 0.1124267578125}, {"start": 1247.18, "end": 1247.46, "word": " point", "probability": 0.5810546875}, {"start": 1247.46, "end": 1247.98, "word": " variable", "probability": 0.849609375}, {"start": 1247.98, "end": 1248.3, "word": " يعني", "probability": 0.884033203125}, {"start": 1248.3, "end": 1248.6, "word": " أو", "probability": 0.6484375}, {"start": 1248.6, "end": 1248.68, "word": " ..", "probability": 0.3203125}, {"start": 1248.68, "end": 1248.8, "word": " or", "probability": 0.61767578125}, {"start": 1248.8, "end": 1249.3, "word": " changing", "probability": 0.91064453125}, {"start": 1249.3, "end": 1249.5, "word": " يعني", "probability": 0.90380859375}, {"start": 1249.5, "end": 1249.66, "word": " من", "probability": 0.98974609375}, {"start": 1249.66, "end": 1250.02, "word": " فترة", "probability": 0.9905598958333334}, {"start": 1250.02, "end": 1250.56, "word": " لفترة", "probability": 0.9730224609375}, {"start": 1250.56, "end": 1251.92, "word": " بتغير", "probability": 0.95361328125}, {"start": 1251.92, "end": 1252.18, "word": " أو", "probability": 0.8642578125}, {"start": 1252.18, "end": 1252.52, "word": " ممكن", "probability": 0.98486328125}, {"start": 1252.52, "end": 1253.16, "word": " يتحسن", "probability": 0.97060546875}, {"start": 1253.16, "end": 1253.36, "word": " يعني", "probability": 0.897705078125}, {"start": 1253.36, "end": 1253.66, "word": " يكون", "probability": 0.967041015625}, {"start": 1253.66, "end": 1254.02, "word": " بدأ", "probability": 0.941650390625}, {"start": 1254.02, "end": 1254.48, "word": " بسبب", "probability": 0.9969075520833334}, {"start": 1254.48, "end": 1254.96, "word": " معين", "probability": 0.994140625}, {"start": 1254.96, "end": 1255.8, "word": " يعني", "probability": 0.916015625}, {"start": 1255.8, "end": 1256.22, "word": " مثلا", "probability": 0.989501953125}, {"start": 1256.22, "end": 1256.64, "word": " ..", "probability": 0.8125}], "temperature": 1.0}, {"id": 54, "seek": 127997, "start": 1257.47, "end": 1279.97, "text": "A lot of people who have for example 6 nerve palsy, because of a simple reason, or for example he has diabetes and he has a deficiency in the sixth nerve, a lot of them recover immediately. So the deficiency of the sixth nerve weakens the lateral rectus and he will have esotropia. Usually this esotropia is temporary.", "tokens": [32, 688, 295, 561, 567, 362, 337, 1365, 1386, 16355, 43806, 88, 11, 570, 295, 257, 2199, 1778, 11, 420, 337, 1365, 415, 575, 13881, 293, 415, 575, 257, 37500, 294, 264, 15102, 16355, 11, 257, 688, 295, 552, 8114, 4258, 13, 407, 264, 37500, 295, 264, 15102, 16355, 5336, 694, 264, 25128, 11048, 301, 293, 415, 486, 362, 785, 310, 1513, 654, 13, 11419, 341, 785, 310, 1513, 654, 307, 13413, 13], "avg_logprob": -0.5506756917850392, "compression_ratio": 1.7005347593582887, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 1257.47, "end": 1257.69, "word": "A", "probability": 0.098876953125}, {"start": 1257.69, "end": 1257.95, "word": " lot", "probability": 0.93505859375}, {"start": 1257.95, "end": 1258.15, "word": " of", "probability": 0.9658203125}, {"start": 1258.15, "end": 1258.87, "word": " people", "probability": 0.81689453125}, {"start": 1258.87, "end": 1259.03, "word": " who", "probability": 0.37451171875}, {"start": 1259.03, "end": 1259.31, "word": " have", "probability": 0.73876953125}, {"start": 1259.31, "end": 1259.39, "word": " for", "probability": 0.170654296875}, {"start": 1259.39, "end": 1259.59, "word": " example", "probability": 0.85888671875}, {"start": 1259.59, "end": 1259.97, "word": " 6", "probability": 0.353759765625}, {"start": 1259.97, "end": 1260.27, "word": " nerve", "probability": 0.8916015625}, {"start": 1260.27, "end": 1260.93, "word": " palsy,", "probability": 0.6341552734375}, {"start": 1263.17, "end": 1263.21, "word": " because", "probability": 0.058685302734375}, {"start": 1263.21, "end": 1263.75, "word": " of", "probability": 0.68603515625}, {"start": 1263.75, "end": 1265.29, "word": " a", "probability": 0.26904296875}, {"start": 1265.29, "end": 1266.45, "word": " simple", "probability": 0.8251953125}, {"start": 1266.45, "end": 1266.65, "word": " reason,", "probability": 0.73974609375}, {"start": 1267.15, "end": 1267.53, "word": " or", "probability": 0.4921875}, {"start": 1267.53, "end": 1267.65, "word": " for", "probability": 0.3916015625}, {"start": 1267.65, "end": 1267.83, "word": " example", "probability": 0.9130859375}, {"start": 1267.83, "end": 1267.91, "word": " he", "probability": 0.281494140625}, {"start": 1267.91, "end": 1268.09, "word": " has", "probability": 0.82177734375}, {"start": 1268.09, "end": 1268.45, "word": " diabetes", "probability": 0.41162109375}, {"start": 1268.45, "end": 1268.81, "word": " and", "probability": 0.62255859375}, {"start": 1268.81, "end": 1268.81, "word": " he", "probability": 0.434326171875}, {"start": 1268.81, "end": 1269.17, "word": " has", "probability": 0.740234375}, {"start": 1269.17, "end": 1269.37, "word": " a", "probability": 0.448486328125}, {"start": 1269.37, "end": 1269.57, "word": " deficiency", "probability": 0.25146484375}, {"start": 1269.57, "end": 1269.73, "word": " in", "probability": 0.7353515625}, {"start": 1269.73, "end": 1270.23, "word": " the", "probability": 0.720703125}, {"start": 1270.23, "end": 1270.29, "word": " sixth", "probability": 0.58349609375}, {"start": 1270.29, "end": 1270.29, "word": " nerve,", "probability": 0.740234375}, {"start": 1270.61, "end": 1271.05, "word": " a", "probability": 0.521484375}, {"start": 1271.05, "end": 1271.23, "word": " lot", "probability": 0.95751953125}, {"start": 1271.23, "end": 1271.31, "word": " of", "probability": 0.9638671875}, {"start": 1271.31, "end": 1271.45, "word": " them", "probability": 0.853515625}, {"start": 1271.45, "end": 1271.97, "word": " recover", "probability": 0.1953125}, {"start": 1271.97, "end": 1272.65, "word": " immediately.", "probability": 0.32666015625}, {"start": 1272.83, "end": 1273.07, "word": " So", "probability": 0.3935546875}, {"start": 1273.07, "end": 1273.37, "word": " the", "probability": 0.5185546875}, {"start": 1273.37, "end": 1273.57, "word": " deficiency", "probability": 0.93017578125}, {"start": 1273.57, "end": 1273.73, "word": " of", "probability": 0.65283203125}, {"start": 1273.73, "end": 1274.23, "word": " the", "probability": 0.90625}, {"start": 1274.23, "end": 1274.39, "word": " sixth", "probability": 0.857421875}, {"start": 1274.39, "end": 1274.39, "word": " nerve", "probability": 0.8515625}, {"start": 1274.39, "end": 1274.97, "word": " weakens", "probability": 0.814697265625}, {"start": 1274.97, "end": 1275.15, "word": " the", "probability": 0.75146484375}, {"start": 1275.15, "end": 1275.43, "word": " lateral", "probability": 0.95556640625}, {"start": 1275.43, "end": 1275.89, "word": " rectus", "probability": 0.85205078125}, {"start": 1275.89, "end": 1275.91, "word": " and", "probability": 0.63037109375}, {"start": 1275.91, "end": 1275.99, "word": " he", "probability": 0.493896484375}, {"start": 1275.99, "end": 1276.09, "word": " will", "probability": 0.288818359375}, {"start": 1276.09, "end": 1276.47, "word": " have", "probability": 0.70166015625}, {"start": 1276.47, "end": 1277.31, "word": " esotropia.", "probability": 0.7708740234375}, {"start": 1277.81, "end": 1278.19, "word": " Usually", "probability": 0.242431640625}, {"start": 1278.19, "end": 1278.51, "word": " this", "probability": 0.734375}, {"start": 1278.51, "end": 1279.23, "word": " esotropia", "probability": 0.9456787109375}, {"start": 1279.23, "end": 1279.51, "word": " is", "probability": 0.72314453125}, {"start": 1279.51, "end": 1279.97, "word": " temporary.", "probability": 0.420166015625}], "temperature": 1.0}, {"id": 55, "seek": 130468, "start": 1280.62, "end": 1304.68, "text": "So, I don't need any surgical intervention and I start recovering. Of course, during the period of esotropia or a defect in the sixth nerve, I can use the Fresnel Prism to get rid of the diplopia until I recover and start every three or four weeks to change it or reduce it in the force of the Prism as long as it starts to recover until I remove it once.", "tokens": [6455, 11, 286, 500, 380, 643, 604, 26646, 13176, 293, 286, 722, 29180, 13, 2720, 1164, 11, 1830, 264, 2896, 295, 785, 310, 1513, 654, 420, 257, 16445, 294, 264, 15102, 16355, 11, 286, 393, 764, 264, 42618, 6396, 2114, 1434, 281, 483, 3973, 295, 264, 11432, 22376, 1826, 286, 8114, 293, 722, 633, 1045, 420, 1451, 3259, 281, 1319, 309, 420, 5407, 309, 294, 264, 3464, 295, 264, 2114, 1434, 382, 938, 382, 309, 3719, 281, 8114, 1826, 286, 4159, 309, 1564, 13], "avg_logprob": -0.6055147227118997, "compression_ratio": 1.6666666666666667, "no_speech_prob": 4.9948692321777344e-05, "words": [{"start": 1280.62, "end": 1280.84, "word": "So,", "probability": 0.398681640625}, {"start": 1281.36, "end": 1281.76, "word": " I", "probability": 0.337158203125}, {"start": 1281.76, "end": 1281.86, "word": " don't", "probability": 0.826171875}, {"start": 1281.86, "end": 1283.0, "word": " need", "probability": 0.822265625}, {"start": 1283.0, "end": 1283.58, "word": " any", "probability": 0.224365234375}, {"start": 1283.58, "end": 1284.0, "word": " surgical", "probability": 0.443603515625}, {"start": 1284.0, "end": 1284.0, "word": " intervention", "probability": 0.95166015625}, {"start": 1284.0, "end": 1284.62, "word": " and", "probability": 0.327880859375}, {"start": 1284.62, "end": 1284.72, "word": " I", "probability": 0.66796875}, {"start": 1284.72, "end": 1284.88, "word": " start", "probability": 0.63232421875}, {"start": 1284.88, "end": 1285.36, "word": " recovering.", "probability": 0.26953125}, {"start": 1285.9, "end": 1286.04, "word": " Of", "probability": 0.468505859375}, {"start": 1286.04, "end": 1286.16, "word": " course,", "probability": 0.96240234375}, {"start": 1286.22, "end": 1286.32, "word": " during", "probability": 0.38037109375}, {"start": 1286.32, "end": 1286.38, "word": " the", "probability": 0.56689453125}, {"start": 1286.38, "end": 1286.7, "word": " period", "probability": 0.666015625}, {"start": 1286.7, "end": 1287.24, "word": " of", "probability": 0.3369140625}, {"start": 1287.24, "end": 1287.88, "word": " esotropia", "probability": 0.67864990234375}, {"start": 1287.88, "end": 1288.04, "word": " or", "probability": 0.64892578125}, {"start": 1288.04, "end": 1288.08, "word": " a", "probability": 0.156494140625}, {"start": 1288.08, "end": 1288.26, "word": " defect", "probability": 0.058868408203125}, {"start": 1288.26, "end": 1288.4, "word": " in", "probability": 0.861328125}, {"start": 1288.4, "end": 1288.48, "word": " the", "probability": 0.80517578125}, {"start": 1288.48, "end": 1289.2, "word": " sixth", "probability": 0.650390625}, {"start": 1289.2, "end": 1289.2, "word": " nerve,", "probability": 0.66845703125}, {"start": 1289.6, "end": 1289.7, "word": " I", "probability": 0.9833984375}, {"start": 1289.7, "end": 1289.96, "word": " can", "probability": 0.80078125}, {"start": 1289.96, "end": 1290.4, "word": " use", "probability": 0.845703125}, {"start": 1290.4, "end": 1290.6, "word": " the", "probability": 0.484619140625}, {"start": 1290.6, "end": 1290.98, "word": " Fresnel", "probability": 0.472412109375}, {"start": 1290.98, "end": 1291.38, "word": " Prism", "probability": 0.751220703125}, {"start": 1291.38, "end": 1291.72, "word": " to", "probability": 0.845703125}, {"start": 1291.72, "end": 1292.06, "word": " get", "probability": 0.216796875}, {"start": 1292.06, "end": 1292.2, "word": " rid", "probability": 0.76806640625}, {"start": 1292.2, "end": 1292.42, "word": " of", "probability": 0.96875}, {"start": 1292.42, "end": 1292.56, "word": " the", "probability": 0.5}, {"start": 1292.56, "end": 1293.1, "word": " diplopia", "probability": 0.797119140625}, {"start": 1293.1, "end": 1293.88, "word": " until", "probability": 0.55322265625}, {"start": 1293.88, "end": 1294.1, "word": " I", "probability": 0.61474609375}, {"start": 1294.1, "end": 1294.48, "word": " recover", "probability": 0.626953125}, {"start": 1294.48, "end": 1294.66, "word": " and", "probability": 0.537109375}, {"start": 1294.66, "end": 1294.98, "word": " start", "probability": 0.4599609375}, {"start": 1294.98, "end": 1295.28, "word": " every", "probability": 0.33984375}, {"start": 1295.28, "end": 1296.56, "word": " three", "probability": 0.509765625}, {"start": 1296.56, "end": 1297.24, "word": " or", "probability": 0.54541015625}, {"start": 1297.24, "end": 1297.52, "word": " four", "probability": 0.93798828125}, {"start": 1297.52, "end": 1297.98, "word": " weeks", "probability": 0.875}, {"start": 1297.98, "end": 1298.56, "word": " to", "probability": 0.47509765625}, {"start": 1298.56, "end": 1298.94, "word": " change", "probability": 0.82568359375}, {"start": 1298.94, "end": 1299.12, "word": " it", "probability": 0.5}, {"start": 1299.12, "end": 1299.26, "word": " or", "probability": 0.896484375}, {"start": 1299.26, "end": 1299.68, "word": " reduce", "probability": 0.52392578125}, {"start": 1299.68, "end": 1299.84, "word": " it", "probability": 0.24267578125}, {"start": 1299.84, "end": 1299.94, "word": " in", "probability": 0.387939453125}, {"start": 1299.94, "end": 1300.02, "word": " the", "probability": 0.599609375}, {"start": 1300.02, "end": 1300.2, "word": " force", "probability": 0.38427734375}, {"start": 1300.2, "end": 1300.34, "word": " of", "probability": 0.90966796875}, {"start": 1300.34, "end": 1300.42, "word": " the", "probability": 0.79052734375}, {"start": 1300.42, "end": 1300.72, "word": " Prism", "probability": 0.6787109375}, {"start": 1300.72, "end": 1301.02, "word": " as", "probability": 0.37451171875}, {"start": 1301.02, "end": 1301.2, "word": " long", "probability": 0.471435546875}, {"start": 1301.2, "end": 1301.2, "word": " as", "probability": 0.96630859375}, {"start": 1301.2, "end": 1301.74, "word": " it", "probability": 0.59716796875}, {"start": 1301.74, "end": 1301.74, "word": " starts", "probability": 0.34521484375}, {"start": 1301.74, "end": 1302.12, "word": " to", "probability": 0.81201171875}, {"start": 1302.12, "end": 1302.5, "word": " recover", "probability": 0.76904296875}, {"start": 1302.5, "end": 1302.94, "word": " until", "probability": 0.65185546875}, {"start": 1302.94, "end": 1303.28, "word": " I", "probability": 0.9033203125}, {"start": 1303.28, "end": 1303.52, "word": " remove", "probability": 0.6552734375}, {"start": 1303.52, "end": 1304.08, "word": " it", "probability": 0.71875}, {"start": 1304.08, "end": 1304.68, "word": " once.", "probability": 0.09039306640625}], "temperature": 1.0}, {"id": 56, "seek": 132845, "start": 1304.89, "end": 1328.45, "text": "So, this case is very useful to frame the presumption in the situation if the strabismus is changing, if the strabismus is changing, which is in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in the case of change in", "tokens": [6455, 11, 341, 1389, 307, 588, 4420, 281, 3920, 264, 18028, 1695, 294, 264, 2590, 498, 264, 2148, 65, 25327, 307, 4473, 11, 498, 264, 2148, 65, 25327, 307, 4473, 11, 597, 307, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294, 264, 1389, 295, 1319, 294], "avg_logprob": -0.18291666242811416, "compression_ratio": 8.990825688073395, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1304.89, "end": 1305.33, "word": "So,", "probability": 0.669921875}, {"start": 1305.49, "end": 1305.97, "word": " this", "probability": 0.9140625}, {"start": 1305.97, "end": 1306.41, "word": " case", "probability": 0.5302734375}, {"start": 1306.41, "end": 1306.81, "word": " is", "probability": 0.814453125}, {"start": 1306.81, "end": 1307.17, "word": " very", "probability": 0.7470703125}, {"start": 1307.17, "end": 1307.49, "word": " useful", "probability": 0.49365234375}, {"start": 1307.49, "end": 1307.97, "word": " to", "probability": 0.207275390625}, {"start": 1307.97, "end": 1308.23, "word": " frame", "probability": 0.6748046875}, {"start": 1308.23, "end": 1308.37, "word": " the", "probability": 0.388671875}, {"start": 1308.37, "end": 1309.17, "word": " presumption", "probability": 0.5228271484375}, {"start": 1309.17, "end": 1309.55, "word": " in", "probability": 0.477294921875}, {"start": 1309.55, "end": 1310.57, "word": " the", "probability": 0.3994140625}, {"start": 1310.57, "end": 1310.83, "word": " situation", "probability": 0.499267578125}, {"start": 1310.83, "end": 1311.87, "word": " if", "probability": 0.471435546875}, {"start": 1311.87, "end": 1312.11, "word": " the", "probability": 0.796875}, {"start": 1312.11, "end": 1312.71, "word": " strabismus", "probability": 0.8375651041666666}, {"start": 1312.71, "end": 1313.11, "word": " is", "probability": 0.93310546875}, {"start": 1313.11, "end": 1313.93, "word": " changing,", "probability": 0.84130859375}, {"start": 1314.07, "end": 1314.31, "word": " if", "probability": 0.76708984375}, {"start": 1314.31, "end": 1314.65, "word": " the", "probability": 0.86376953125}, {"start": 1314.65, "end": 1315.21, "word": " strabismus", "probability": 0.9318033854166666}, {"start": 1315.21, "end": 1315.63, "word": " is", "probability": 0.94189453125}, {"start": 1315.63, "end": 1316.49, "word": " changing,", "probability": 0.8876953125}, {"start": 1316.67, "end": 1316.75, "word": " which", "probability": 0.646484375}, {"start": 1316.75, "end": 1316.87, "word": " is", "probability": 0.62548828125}, {"start": 1316.87, "end": 1317.33, "word": " in", "probability": 0.330078125}, {"start": 1317.33, "end": 1317.97, "word": " the", "probability": 0.3642578125}, {"start": 1317.97, "end": 1318.09, "word": " case", "probability": 0.77734375}, {"start": 1318.09, "end": 1318.37, "word": " of", "probability": 0.8603515625}, {"start": 1318.37, "end": 1318.59, "word": " change", "probability": 0.1669921875}, {"start": 1318.59, "end": 1318.69, "word": " in", "probability": 0.287841796875}, {"start": 1318.69, "end": 1319.63, "word": " the", "probability": 0.44873046875}, {"start": 1319.63, "end": 1320.11, "word": " case", "probability": 0.373046875}, {"start": 1320.11, "end": 1320.27, "word": " of", "probability": 0.94677734375}, {"start": 1320.27, "end": 1320.27, "word": " change", "probability": 0.8046875}, {"start": 1320.27, "end": 1320.27, "word": " in", "probability": 0.3251953125}, {"start": 1320.27, "end": 1320.27, "word": " the", "probability": 0.62939453125}, {"start": 1320.27, "end": 1320.89, "word": " case", "probability": 0.4951171875}, {"start": 1320.89, "end": 1320.89, "word": " of", "probability": 0.9541015625}, {"start": 1320.89, "end": 1320.89, "word": " change", "probability": 0.8154296875}, {"start": 1320.89, "end": 1320.89, "word": " in", "probability": 0.277099609375}, {"start": 1320.89, "end": 1320.89, "word": " the", "probability": 0.6708984375}, {"start": 1320.89, "end": 1320.89, "word": " case", "probability": 0.7216796875}, {"start": 1320.89, "end": 1320.89, "word": " of", "probability": 0.9609375}, {"start": 1320.89, "end": 1320.89, "word": " change", "probability": 0.8857421875}, {"start": 1320.89, "end": 1320.89, "word": " in", "probability": 0.404541015625}, {"start": 1320.89, "end": 1320.89, "word": " the", "probability": 0.79931640625}, {"start": 1320.89, "end": 1320.89, "word": " case", "probability": 0.92138671875}, {"start": 1320.89, "end": 1320.89, "word": " of", "probability": 0.966796875}, {"start": 1320.89, "end": 1320.89, "word": " change", "probability": 0.9091796875}, {"start": 1320.89, "end": 1320.89, "word": " in", "probability": 0.58251953125}, {"start": 1320.89, "end": 1320.89, "word": " the", "probability": 0.8876953125}, {"start": 1320.89, "end": 1320.89, "word": " case", "probability": 0.93701171875}, {"start": 1320.89, "end": 1320.89, "word": " of", "probability": 0.96923828125}, {"start": 1320.89, "end": 1320.89, "word": " change", "probability": 0.912109375}, {"start": 1320.89, "end": 1320.89, "word": " in", "probability": 0.72998046875}, {"start": 1320.89, "end": 1320.89, "word": " the", "probability": 0.91748046875}, {"start": 1320.89, "end": 1320.91, "word": " case", "probability": 0.94287109375}, {"start": 1320.91, "end": 1320.91, "word": " of", "probability": 0.9716796875}, {"start": 1320.91, "end": 1320.91, "word": " change", "probability": 0.91015625}, {"start": 1320.91, "end": 1320.99, "word": " in", "probability": 0.8291015625}, {"start": 1320.99, "end": 1320.99, "word": " the", "probability": 0.9267578125}, {"start": 1320.99, "end": 1320.99, "word": " case", "probability": 0.94482421875}, {"start": 1320.99, "end": 1320.99, "word": " of", "probability": 0.97265625}, {"start": 1320.99, "end": 1320.99, "word": " change", "probability": 0.91064453125}, {"start": 1320.99, "end": 1320.99, "word": " in", "probability": 0.88525390625}, {"start": 1320.99, "end": 1320.99, "word": " the", "probability": 0.93115234375}, {"start": 1320.99, "end": 1320.99, "word": " case", "probability": 0.94482421875}, {"start": 1320.99, "end": 1320.99, "word": " of", "probability": 0.97314453125}, {"start": 1320.99, "end": 1320.99, "word": " change", "probability": 0.91015625}, {"start": 1320.99, "end": 1321.05, "word": " in", "probability": 0.9091796875}, {"start": 1321.05, "end": 1321.05, "word": " the", "probability": 0.93359375}, {"start": 1321.05, "end": 1321.17, "word": " case", "probability": 0.9453125}, {"start": 1321.17, "end": 1321.17, "word": " of", "probability": 0.9736328125}, {"start": 1321.17, "end": 1321.17, "word": " change", "probability": 0.91064453125}, {"start": 1321.17, "end": 1321.17, "word": " in", "probability": 0.9228515625}, {"start": 1321.17, "end": 1321.17, "word": " the", "probability": 0.9345703125}, {"start": 1321.17, "end": 1321.17, "word": " case", "probability": 0.94482421875}, {"start": 1321.17, "end": 1321.17, "word": " of", "probability": 0.97412109375}, {"start": 1321.17, "end": 1321.17, "word": " change", "probability": 0.91259765625}, {"start": 1321.17, "end": 1321.17, "word": " in", "probability": 0.93017578125}, {"start": 1321.17, "end": 1321.17, "word": " the", "probability": 0.93603515625}, {"start": 1321.17, "end": 1321.25, "word": " case", "probability": 0.94482421875}, {"start": 1321.25, "end": 1321.43, "word": " of", "probability": 0.974609375}, {"start": 1321.43, "end": 1322.19, "word": " change", "probability": 0.91357421875}, {"start": 1322.19, "end": 1322.19, "word": " in", "probability": 0.93408203125}, {"start": 1322.19, "end": 1322.39, "word": " the", "probability": 0.93603515625}, {"start": 1322.39, "end": 1322.41, "word": " case", "probability": 0.9453125}, {"start": 1322.41, "end": 1322.41, "word": " of", "probability": 0.9755859375}, {"start": 1322.41, "end": 1322.41, "word": " change", "probability": 0.9140625}, {"start": 1322.41, "end": 1322.41, "word": " in", "probability": 0.9365234375}, {"start": 1322.41, "end": 1322.47, "word": " the", "probability": 0.93701171875}, {"start": 1322.47, "end": 1322.79, "word": " case", "probability": 0.9453125}, {"start": 1322.79, "end": 1322.79, "word": " of", "probability": 0.97509765625}, {"start": 1322.79, "end": 1322.79, "word": " change", "probability": 0.91650390625}, {"start": 1322.79, "end": 1322.79, "word": " in", "probability": 0.93994140625}, {"start": 1322.79, "end": 1322.79, "word": " the", "probability": 0.93798828125}, {"start": 1322.79, "end": 1322.99, "word": " case", "probability": 0.94482421875}, {"start": 1322.99, "end": 1322.99, "word": " of", "probability": 0.97607421875}, {"start": 1322.99, "end": 1322.99, "word": " change", "probability": 0.9169921875}, {"start": 1322.99, "end": 1322.99, "word": " in", "probability": 0.94091796875}, {"start": 1322.99, "end": 1322.99, "word": " the", "probability": 0.93798828125}, {"start": 1322.99, "end": 1322.99, "word": " case", "probability": 0.9453125}, {"start": 1322.99, "end": 1322.99, "word": " of", "probability": 0.9755859375}, {"start": 1322.99, "end": 1322.99, "word": " change", "probability": 0.9189453125}, {"start": 1322.99, "end": 1322.99, "word": " in", "probability": 0.94287109375}, {"start": 1322.99, "end": 1322.99, "word": " the", "probability": 0.93896484375}, {"start": 1322.99, "end": 1322.99, "word": " case", "probability": 0.9453125}, {"start": 1322.99, "end": 1322.99, "word": " of", "probability": 0.9755859375}, {"start": 1322.99, "end": 1322.99, "word": " change", "probability": 0.91943359375}, {"start": 1322.99, "end": 1322.99, "word": " in", "probability": 0.9453125}, {"start": 1322.99, "end": 1322.99, "word": " the", "probability": 0.93798828125}, {"start": 1322.99, "end": 1322.99, "word": " case", "probability": 0.9443359375}, {"start": 1322.99, "end": 1322.99, "word": " of", "probability": 0.9755859375}, {"start": 1322.99, "end": 1322.99, "word": " change", "probability": 0.92041015625}, {"start": 1322.99, "end": 1322.99, "word": " in", "probability": 0.947265625}, {"start": 1322.99, "end": 1322.99, "word": " the", "probability": 0.9384765625}, {"start": 1322.99, "end": 1322.99, "word": " case", "probability": 0.94482421875}, {"start": 1322.99, "end": 1322.99, "word": " of", "probability": 0.9765625}, {"start": 1322.99, "end": 1322.99, "word": " change", "probability": 0.92138671875}, {"start": 1322.99, "end": 1322.99, "word": " in", "probability": 0.94775390625}, {"start": 1322.99, "end": 1322.99, "word": " the", "probability": 0.939453125}, {"start": 1322.99, "end": 1322.99, "word": " case", "probability": 0.94384765625}, {"start": 1322.99, "end": 1322.99, "word": " of", "probability": 0.9765625}, {"start": 1322.99, "end": 1322.99, "word": " change", "probability": 0.92236328125}, {"start": 1322.99, "end": 1322.99, "word": " in", "probability": 0.94873046875}, {"start": 1322.99, "end": 1322.99, "word": " the", "probability": 0.939453125}, {"start": 1322.99, "end": 1322.99, "word": " case", "probability": 0.94384765625}, {"start": 1322.99, "end": 1322.99, "word": " of", "probability": 0.97607421875}, {"start": 1322.99, "end": 1322.99, "word": " change", "probability": 0.9228515625}, {"start": 1322.99, "end": 1322.99, "word": " in", "probability": 0.94970703125}, {"start": 1322.99, "end": 1322.99, "word": " the", "probability": 0.939453125}, {"start": 1322.99, "end": 1322.99, "word": " case", "probability": 0.9423828125}, {"start": 1322.99, "end": 1322.99, "word": " of", "probability": 0.97607421875}, {"start": 1322.99, "end": 1322.99, "word": " change", "probability": 0.923828125}, {"start": 1322.99, "end": 1322.99, "word": " in", "probability": 0.9501953125}, {"start": 1322.99, "end": 1322.99, "word": " the", "probability": 0.9404296875}, {"start": 1322.99, "end": 1322.99, "word": " case", "probability": 0.94189453125}, {"start": 1322.99, "end": 1322.99, "word": " of", "probability": 0.97607421875}, {"start": 1322.99, "end": 1322.99, "word": " change", "probability": 0.9248046875}, {"start": 1322.99, "end": 1322.99, "word": " in", "probability": 0.95068359375}, {"start": 1322.99, "end": 1322.99, "word": " the", "probability": 0.9404296875}, {"start": 1322.99, "end": 1322.99, "word": " case", "probability": 0.94189453125}, {"start": 1322.99, "end": 1322.99, "word": " of", "probability": 0.97705078125}, {"start": 1322.99, "end": 1322.99, "word": " change", "probability": 0.92578125}, {"start": 1322.99, "end": 1322.99, "word": " in", "probability": 0.951171875}, {"start": 1322.99, "end": 1322.99, "word": " the", "probability": 0.9404296875}, {"start": 1322.99, "end": 1322.99, "word": " case", "probability": 0.94140625}, {"start": 1322.99, "end": 1322.99, "word": " of", "probability": 0.97705078125}, {"start": 1322.99, "end": 1322.99, "word": " change", "probability": 0.92626953125}, {"start": 1322.99, "end": 1322.99, "word": " in", "probability": 0.95166015625}, {"start": 1322.99, "end": 1322.99, "word": " the", "probability": 0.94091796875}, {"start": 1322.99, "end": 1322.99, "word": " case", "probability": 0.94091796875}, {"start": 1322.99, "end": 1322.99, "word": " of", "probability": 0.97705078125}, {"start": 1322.99, "end": 1322.99, "word": " change", "probability": 0.92626953125}, {"start": 1322.99, "end": 1322.99, "word": " in", "probability": 0.9521484375}, {"start": 1322.99, "end": 1322.99, "word": " the", "probability": 0.93994140625}, {"start": 1322.99, "end": 1322.99, "word": " case", "probability": 0.94091796875}, {"start": 1322.99, "end": 1322.99, "word": " of", "probability": 0.97705078125}, {"start": 1322.99, "end": 1322.99, "word": " change", "probability": 0.92626953125}, {"start": 1322.99, "end": 1322.99, "word": " in", "probability": 0.9521484375}, {"start": 1322.99, "end": 1322.99, "word": " the", "probability": 0.94091796875}, {"start": 1322.99, "end": 1322.99, "word": " case", "probability": 0.939453125}, {"start": 1322.99, "end": 1323.03, "word": " of", "probability": 0.97705078125}, {"start": 1323.03, "end": 1323.03, "word": " change", "probability": 0.92724609375}, {"start": 1323.03, "end": 1323.03, "word": " in", "probability": 0.95263671875}, {"start": 1323.03, "end": 1323.03, "word": " the", "probability": 0.9404296875}, {"start": 1323.03, "end": 1323.03, "word": " case", "probability": 0.93896484375}, {"start": 1323.03, "end": 1323.03, "word": " of", "probability": 0.97705078125}, {"start": 1323.03, "end": 1323.03, "word": " change", "probability": 0.92822265625}, {"start": 1323.03, "end": 1323.03, "word": " in", "probability": 0.95263671875}, {"start": 1323.03, "end": 1323.03, "word": " the", "probability": 0.9404296875}, {"start": 1323.03, "end": 1323.03, "word": " case", "probability": 0.9384765625}, {"start": 1323.03, "end": 1323.03, "word": " of", "probability": 0.97705078125}, {"start": 1323.03, "end": 1323.03, "word": " change", "probability": 0.9287109375}, {"start": 1323.03, "end": 1323.03, "word": " in", "probability": 0.9521484375}, {"start": 1323.03, "end": 1323.03, "word": " the", "probability": 0.94189453125}, {"start": 1323.03, "end": 1323.03, "word": " case", "probability": 0.93798828125}, {"start": 1323.03, "end": 1323.03, "word": " of", "probability": 0.97705078125}, {"start": 1323.03, "end": 1323.03, "word": " change", "probability": 0.9287109375}, {"start": 1323.03, "end": 1323.03, "word": " in", "probability": 0.95263671875}, {"start": 1323.03, "end": 1323.03, "word": " the", "probability": 0.93994140625}, {"start": 1323.03, "end": 1323.03, "word": " case", "probability": 0.9365234375}, {"start": 1323.03, "end": 1323.07, "word": " of", "probability": 0.97705078125}, {"start": 1323.07, "end": 1323.07, "word": " change", "probability": 0.92919921875}, {"start": 1323.07, "end": 1323.07, "word": " in", "probability": 0.9521484375}, {"start": 1323.07, "end": 1323.07, "word": " the", "probability": 0.93994140625}, {"start": 1323.07, "end": 1323.07, "word": " case", "probability": 0.935546875}, {"start": 1323.07, "end": 1323.07, "word": " of", "probability": 0.9775390625}, {"start": 1323.07, "end": 1323.07, "word": " change", "probability": 0.92919921875}, {"start": 1323.07, "end": 1323.07, "word": " in", "probability": 0.95263671875}, {"start": 1323.07, "end": 1323.07, "word": " the", "probability": 0.94140625}, {"start": 1323.07, "end": 1323.07, "word": " case", "probability": 0.9365234375}, {"start": 1323.07, "end": 1323.09, "word": " of", "probability": 0.9775390625}, {"start": 1323.09, "end": 1323.09, "word": " change", "probability": 0.9306640625}, {"start": 1323.09, "end": 1323.09, "word": " in", "probability": 0.9521484375}, {"start": 1323.09, "end": 1323.09, "word": " the", "probability": 0.94091796875}, {"start": 1323.09, "end": 1323.09, "word": " case", "probability": 0.9345703125}, {"start": 1323.09, "end": 1323.09, "word": " of", "probability": 0.9775390625}, {"start": 1323.09, "end": 1323.09, "word": " change", "probability": 0.9296875}, {"start": 1323.09, "end": 1323.09, "word": " in", "probability": 0.951171875}, {"start": 1323.09, "end": 1323.09, "word": " the", "probability": 0.9404296875}, {"start": 1323.09, "end": 1323.09, "word": " case", "probability": 0.935546875}, {"start": 1323.09, "end": 1323.09, "word": " of", "probability": 0.9775390625}, {"start": 1323.09, "end": 1323.09, "word": " change", "probability": 0.93017578125}, {"start": 1323.09, "end": 1323.09, "word": " in", "probability": 0.95166015625}, {"start": 1323.09, "end": 1323.09, "word": " the", "probability": 0.94189453125}, {"start": 1323.09, "end": 1323.49, "word": " case", "probability": 0.93408203125}, {"start": 1323.49, "end": 1323.67, "word": " of", "probability": 0.978515625}, {"start": 1323.67, "end": 1323.81, "word": " change", "probability": 0.93115234375}, {"start": 1323.81, "end": 1323.93, "word": " in", "probability": 0.951171875}, {"start": 1323.93, "end": 1324.13, "word": " the", "probability": 0.94091796875}, {"start": 1324.13, "end": 1324.33, "word": " case", "probability": 0.93408203125}, {"start": 1324.33, "end": 1324.33, "word": " of", "probability": 0.9775390625}, {"start": 1324.33, "end": 1324.83, "word": " change", "probability": 0.9306640625}, {"start": 1324.83, "end": 1328.45, "word": " in", "probability": 0.951171875}], "temperature": 1.0}, {"id": 57, "seek": 135461, "start": 1328.77, "end": 1354.61, "text": "a kidney disease that affected the eye and caused swelling in some parts of the eye. So this issue is going to be clear. Fresnel lenses are also available with concentric groove construction to approximate spherical lenses. These fresnel lenses look exactly like conventional spherical lenses.", "tokens": [64, 19000, 4752, 300, 8028, 264, 3313, 293, 7008, 33127, 294, 512, 3166, 295, 264, 3313, 13, 407, 341, 2734, 307, 516, 281, 312, 1850, 13, 42618, 6396, 18059, 366, 611, 2435, 365, 5512, 1341, 26910, 6435, 281, 30874, 37300, 18059, 13, 1981, 25235, 6396, 18059, 574, 2293, 411, 16011, 37300, 18059, 13], "avg_logprob": -0.5954861122149008, "compression_ratio": 1.6010928961748634, "no_speech_prob": 3.337860107421875e-06, "words": [{"start": 1328.77, "end": 1329.73, "word": "a", "probability": 0.04998779296875}, {"start": 1329.73, "end": 1329.83, "word": " kidney", "probability": 0.09588623046875}, {"start": 1329.83, "end": 1330.97, "word": " disease", "probability": 0.6875}, {"start": 1330.97, "end": 1332.59, "word": " that", "probability": 0.335205078125}, {"start": 1332.59, "end": 1333.03, "word": " affected", "probability": 0.60009765625}, {"start": 1333.03, "end": 1333.39, "word": " the", "probability": 0.75927734375}, {"start": 1333.39, "end": 1333.59, "word": " eye", "probability": 0.572265625}, {"start": 1333.59, "end": 1334.03, "word": " and", "probability": 0.53369140625}, {"start": 1334.03, "end": 1334.31, "word": " caused", "probability": 0.25244140625}, {"start": 1334.31, "end": 1334.67, "word": " swelling", "probability": 0.06298828125}, {"start": 1334.67, "end": 1335.07, "word": " in", "probability": 0.6650390625}, {"start": 1335.07, "end": 1335.41, "word": " some", "probability": 0.6943359375}, {"start": 1335.41, "end": 1335.67, "word": " parts", "probability": 0.1409912109375}, {"start": 1335.67, "end": 1335.67, "word": " of", "probability": 0.8681640625}, {"start": 1335.67, "end": 1336.33, "word": " the", "probability": 0.87158203125}, {"start": 1336.33, "end": 1336.55, "word": " eye.", "probability": 0.86865234375}, {"start": 1338.71, "end": 1339.57, "word": " So", "probability": 0.2479248046875}, {"start": 1339.57, "end": 1340.71, "word": " this", "probability": 0.44091796875}, {"start": 1340.71, "end": 1341.09, "word": " issue", "probability": 0.2420654296875}, {"start": 1341.09, "end": 1341.37, "word": " is", "probability": 0.327880859375}, {"start": 1341.37, "end": 1341.37, "word": " going", "probability": 0.35107421875}, {"start": 1341.37, "end": 1341.39, "word": " to", "probability": 0.9697265625}, {"start": 1341.39, "end": 1341.59, "word": " be", "probability": 0.87451171875}, {"start": 1341.59, "end": 1341.83, "word": " clear.", "probability": 0.64111328125}, {"start": 1342.33, "end": 1342.79, "word": " Fresnel", "probability": 0.794189453125}, {"start": 1342.79, "end": 1343.27, "word": " lenses", "probability": 0.8515625}, {"start": 1343.27, "end": 1343.85, "word": " are", "probability": 0.92919921875}, {"start": 1343.85, "end": 1344.27, "word": " also", "probability": 0.8515625}, {"start": 1344.27, "end": 1344.83, "word": " available", "probability": 0.81298828125}, {"start": 1344.83, "end": 1345.19, "word": " with", "probability": 0.91259765625}, {"start": 1345.19, "end": 1345.91, "word": " concentric", "probability": 0.96044921875}, {"start": 1345.91, "end": 1346.29, "word": " groove", "probability": 0.60009765625}, {"start": 1346.29, "end": 1346.99, "word": " construction", "probability": 0.849609375}, {"start": 1346.99, "end": 1347.65, "word": " to", "probability": 0.90185546875}, {"start": 1347.65, "end": 1348.31, "word": " approximate", "probability": 0.90625}, {"start": 1348.31, "end": 1348.87, "word": " spherical", "probability": 0.91259765625}, {"start": 1348.87, "end": 1350.15, "word": " lenses.", "probability": 0.89306640625}, {"start": 1350.49, "end": 1350.71, "word": " These", "probability": 0.70068359375}, {"start": 1350.71, "end": 1351.25, "word": " fresnel", "probability": 0.6968994140625}, {"start": 1351.25, "end": 1352.33, "word": " lenses", "probability": 0.90087890625}, {"start": 1352.33, "end": 1352.71, "word": " look", "probability": 0.394287109375}, {"start": 1352.71, "end": 1353.51, "word": " exactly", "probability": 0.5927734375}, {"start": 1353.51, "end": 1353.63, "word": " like", "probability": 0.88916015625}, {"start": 1353.63, "end": 1353.75, "word": " conventional", "probability": 0.2244873046875}, {"start": 1353.75, "end": 1354.09, "word": " spherical", "probability": 0.96533203125}, {"start": 1354.09, "end": 1354.61, "word": " lenses.", "probability": 0.9111328125}], "temperature": 1.0}, {"id": 58, "seek": 137801, "start": 1355.53, "end": 1378.01, "text": "But its idea is exactly like the idea of the Fresnel prism and also this is also a way of means that I don't have a big thickness for the lens, for the lens, so Fresnel lenses, Fresnel lenses is the same idea of Fresnel prisms We stop at this point and God bless you and peace be upon you", "tokens": [7835, 1080, 1558, 307, 2293, 411, 264, 1558, 295, 264, 42618, 6396, 582, 1434, 293, 611, 341, 307, 611, 257, 636, 295, 1355, 300, 286, 500, 380, 362, 257, 955, 14855, 337, 264, 6765, 11, 337, 264, 6765, 11, 370, 42618, 6396, 18059, 11, 42618, 6396, 18059, 307, 264, 912, 1558, 295, 42618, 6396, 582, 13539, 492, 1590, 412, 341, 935, 293, 1265, 5227, 291, 293, 4336, 312, 3564, 291], "avg_logprob": -0.47359154677726856, "compression_ratio": 1.7142857142857142, "no_speech_prob": 4.0531158447265625e-06, "words": [{"start": 1355.53, "end": 1355.97, "word": "But", "probability": 0.5576171875}, {"start": 1355.97, "end": 1356.69, "word": " its", "probability": 0.54833984375}, {"start": 1356.69, "end": 1356.69, "word": " idea", "probability": 0.607421875}, {"start": 1356.69, "end": 1356.95, "word": " is", "probability": 0.59423828125}, {"start": 1356.95, "end": 1357.37, "word": " exactly", "probability": 0.61083984375}, {"start": 1357.37, "end": 1357.63, "word": " like", "probability": 0.7265625}, {"start": 1357.63, "end": 1357.81, "word": " the", "probability": 0.76318359375}, {"start": 1357.81, "end": 1358.05, "word": " idea", "probability": 0.83642578125}, {"start": 1358.05, "end": 1359.45, "word": " of", "probability": 0.93359375}, {"start": 1359.45, "end": 1359.51, "word": " the", "probability": 0.12152099609375}, {"start": 1359.51, "end": 1359.99, "word": " Fresnel", "probability": 0.6697998046875}, {"start": 1359.99, "end": 1360.77, "word": " prism", "probability": 0.76904296875}, {"start": 1360.77, "end": 1361.47, "word": " and", "probability": 0.477294921875}, {"start": 1361.47, "end": 1362.19, "word": " also", "probability": 0.3525390625}, {"start": 1362.19, "end": 1362.55, "word": " this", "probability": 0.56787109375}, {"start": 1362.55, "end": 1362.67, "word": " is", "probability": 0.87744140625}, {"start": 1362.67, "end": 1363.01, "word": " also", "probability": 0.603515625}, {"start": 1363.01, "end": 1363.41, "word": " a", "probability": 0.81787109375}, {"start": 1363.41, "end": 1363.41, "word": " way", "probability": 0.57373046875}, {"start": 1363.41, "end": 1363.59, "word": " of", "probability": 0.298583984375}, {"start": 1363.59, "end": 1364.01, "word": " means", "probability": 0.1925048828125}, {"start": 1364.01, "end": 1364.21, "word": " that", "probability": 0.6611328125}, {"start": 1364.21, "end": 1364.33, "word": " I", "probability": 0.43701171875}, {"start": 1364.33, "end": 1364.41, "word": " don't", "probability": 0.78466796875}, {"start": 1364.41, "end": 1364.85, "word": " have", "probability": 0.8916015625}, {"start": 1364.85, "end": 1365.03, "word": " a", "probability": 0.55078125}, {"start": 1365.03, "end": 1365.55, "word": " big", "probability": 0.462158203125}, {"start": 1365.55, "end": 1365.55, "word": " thickness", "probability": 0.298095703125}, {"start": 1365.55, "end": 1366.67, "word": " for", "probability": 0.50390625}, {"start": 1366.67, "end": 1367.37, "word": " the", "probability": 0.63525390625}, {"start": 1367.37, "end": 1367.63, "word": " lens,", "probability": 0.85205078125}, {"start": 1367.71, "end": 1367.81, "word": " for", "probability": 0.861328125}, {"start": 1367.81, "end": 1368.17, "word": " the", "probability": 0.892578125}, {"start": 1368.17, "end": 1368.41, "word": " lens,", "probability": 0.8935546875}, {"start": 1368.51, "end": 1368.69, "word": " so", "probability": 0.4873046875}, {"start": 1368.69, "end": 1369.35, "word": " Fresnel", "probability": 0.721435546875}, {"start": 1369.35, "end": 1370.23, "word": " lenses,", "probability": 0.8955078125}, {"start": 1370.39, "end": 1370.75, "word": " Fresnel", "probability": 0.906005859375}, {"start": 1370.75, "end": 1371.29, "word": " lenses", "probability": 0.908203125}, {"start": 1371.29, "end": 1371.71, "word": " is", "probability": 0.338623046875}, {"start": 1371.71, "end": 1371.93, "word": " the", "probability": 0.82470703125}, {"start": 1371.93, "end": 1371.93, "word": " same", "probability": 0.89892578125}, {"start": 1371.93, "end": 1372.31, "word": " idea", "probability": 0.58349609375}, {"start": 1372.31, "end": 1372.49, "word": " of", "probability": 0.53857421875}, {"start": 1372.49, "end": 1373.33, "word": " Fresnel", "probability": 0.8125}, {"start": 1373.33, "end": 1374.21, "word": " prisms", "probability": 0.71484375}, {"start": 1374.21, "end": 1374.59, "word": " We", "probability": 0.5166015625}, {"start": 1374.59, "end": 1374.93, "word": " stop", "probability": 0.60693359375}, {"start": 1374.93, "end": 1375.21, "word": " at", "probability": 0.6533203125}, {"start": 1375.21, "end": 1375.53, "word": " this", "probability": 0.921875}, {"start": 1375.53, "end": 1375.89, "word": " point", "probability": 0.9716796875}, {"start": 1375.89, "end": 1376.21, "word": " and", "probability": 0.751953125}, {"start": 1376.21, "end": 1376.77, "word": " God", "probability": 0.2095947265625}, {"start": 1376.77, "end": 1376.97, "word": " bless", "probability": 0.83154296875}, {"start": 1376.97, "end": 1377.11, "word": " you", "probability": 0.9208984375}, {"start": 1377.11, "end": 1377.27, "word": " and", "probability": 0.7060546875}, {"start": 1377.27, "end": 1377.51, "word": " peace", "probability": 0.6376953125}, {"start": 1377.51, "end": 1377.75, "word": " be", "probability": 0.7568359375}, {"start": 1377.75, "end": 1377.75, "word": " upon", "probability": 0.8642578125}, {"start": 1377.75, "end": 1378.01, "word": " you", "probability": 0.97607421875}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 1379.567125, "duration_after_vad": 1315.0787499999994}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/-AsaJEAav4s_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/-AsaJEAav4s_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..8a91df1c62c75e950ab17ee00e02786bfb486450
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/-AsaJEAav4s_raw.srt
@@ -0,0 +1,1488 @@
+1
+00:00:01,650 --> 00:00:05,010
+بسم الله الرحمن الرحيم بنواصل مع محاضرات الـ
+
+2
+00:00:05,010 --> 00:00:09,890
+Geometric Optics ووصلنا لعين لprism aberration أو
+
+3
+00:00:09,890 --> 00:00:15,570
+الزيغ اللي ممكن يحدث ليها لprism أثناء مرور الضوء
+
+4
+00:00:15,570 --> 00:00:19,190
+فيه Chromatic aberration الزيغ اللوني produces
+
+5
+00:00:19,190 --> 00:00:23,270
+colored fringes at the edges of objects viewed
+
+6
+00:00:23,270 --> 00:00:26,630
+through prisms and can be bothersome to patients
+
+7
+00:00:26,630 --> 00:00:32,610
+يعنيamong the aberrations or the problems that
+
+8
+00:00:32,610 --> 00:00:34,810
+occur in the prism, which they call chromatic
+
+9
+00:00:34,810 --> 00:00:40,050
+aberration, that is, the objects that I look at
+
+10
+00:00:40,050 --> 00:00:42,870
+through the prism, especially when the power of
+
+11
+00:00:42,870 --> 00:00:45,490
+the prism is high, I see around the objects
+
+12
+00:00:45,490 --> 00:00:50,250
+colorful waves sometimes annoying the light
+
+13
+00:00:50,250 --> 00:00:53,980
+sources or the objects that I look aton them
+
+14
+00:00:53,980 --> 00:00:57,140
+through the prism, of course, the patients can be
+
+15
+00:00:57,140 --> 00:00:59,860
+disturbed from this age, so the chromatic
+
+16
+00:00:59,860 --> 00:01:03,080
+aberrations are one of the aberrations that the
+
+17
+00:01:03,080 --> 00:01:07,580
+prism can do with it, and also these aberrations,
+
+18
+00:01:07,660 --> 00:01:10,940
+the chromatic aberrations are more the more the
+
+19
+00:01:10,940 --> 00:01:13,940
+prism power is more, the more the prism power is
+
+20
+00:01:13,940 --> 00:01:17,490
+stronger and moreSo this is number one. Number
+
+21
+00:01:17,490 --> 00:01:20,850
+two, prisms have other aberrations such as
+
+22
+00:01:20,850 --> 00:01:24,950
+asymmetrical magnification. In other words, a
+
+23
+00:01:24,950 --> 00:01:27,870
+patient wearing a prism in front of his eye, and
+
+24
+00:01:27,870 --> 00:01:29,510
+the other eye does not have a prism in front of
+
+25
+00:01:29,510 --> 00:01:32,930
+it, may feel asymmetrical magnification.
+
+26
+00:01:37,150 --> 00:01:40,370
+Or the picture that comes on the network is
+
+27
+00:01:40,370 --> 00:01:44,150
+different from eye to eye because one eye is
+
+28
+00:01:44,150 --> 00:01:46,210
+wearing a prism and the other is not wearing a
+
+29
+00:01:46,210 --> 00:01:48,770
+prism So the chromatic aberration is the first
+
+30
+00:01:48,770 --> 00:01:52,230
+type of the .. of the aberrations, it is annoying
+
+31
+00:01:54,510 --> 00:01:57,430
+sometimes for the patient. The second type of
+
+32
+00:01:57,430 --> 00:02:01,430
+aberration is asymmetrical magnification. The
+
+33
+00:02:01,430 --> 00:02:04,210
+third type is curvature of field. That is, I feel
+
+34
+00:02:04,210 --> 00:02:08,590
+that the field that I look at is bent. All of this
+
+35
+00:02:08,590 --> 00:02:11,310
+is considered one of the annoyances of liberism.
+
+36
+00:02:11,810 --> 00:02:15,270
+Although these aberrations are usually
+
+37
+00:02:15,270 --> 00:02:17,730
+insignificant, most of the time these aberrations
+
+38
+00:02:17,730 --> 00:02:22,490
+are not many.They occasionally produce symptoms
+
+39
+00:02:22,490 --> 00:02:26,050
+even with low power of thalamic prisms أحياناً
+
+40
+00:02:26,050 --> 00:02:29,070
+كتير بتكون مش مزعجة بس في بعض الأحيان بعض المرضى
+
+41
+00:02:29,070 --> 00:02:34,930
+مابيقدرش يتحملها فبالتالي بده حل آخر على سبيل
+
+42
+00:02:34,930 --> 00:02:38,550
+المثال مثلا تخفيف قوة liprism، استعمال liprism
+
+43
+00:02:38,550 --> 00:02:43,330
+أمام العندين أو إيجاد حل آخر غير liprism، غير
+
+44
+00:02:43,330 --> 00:02:48,020
+liprismنيجي لموضوع اليوم اللي هو ال Fresnel Prism
+
+45
+00:02:48,020 --> 00:02:48,440
+نيجي لموضوع اليوم اللي هو ال Fresnel Prism نيجي
+
+46
+00:02:48,440 --> 00:02:49,660
+لموضوع اليوم اللي هو ال Fresnel Prism طبعا ال S
+
+47
+00:02:49,660 --> 00:02:53,820
+silent طبعا ال S silent طبعا ال S silent طبعا ال S
+
+48
+00:02:53,820 --> 00:03:00,540
+silent طبعا
+
+49
+00:03:00,540 --> 00:03:03,020
+ال S silent طبعا ال S silent طبعا ال S silent طبعا
+
+50
+00:03:03,020 --> 00:03:03,280
+ال S silent طبعا ال S silent طبعا ال S silent طبعا
+
+51
+00:03:03,280 --> 00:03:03,280
+ال S silent طبعا ال S silent طبعا ال S silent طبعا
+
+52
+00:03:03,280 --> 00:03:03,280
+ال S silent طبعا ال S silent طبعا ال S silent طبعا
+
+53
+00:03:03,280 --> 00:03:03,280
+ال S silent طبعا ال S silent طبعا ال S silent طبعا
+
+54
+00:03:03,280 --> 00:03:03,380
+ال S silent طبعا ال S silent طبعا ال S silent طبعا
+
+55
+00:03:03,380 --> 00:03:06,580
+ال S silent طبعا ال S
+
+56
+00:03:14,080 --> 00:03:19,320
+and connected side by side it works like a single
+
+57
+00:03:19,320 --> 00:03:23,620
+large prism let's see this issue in the clear
+
+58
+00:03:23,620 --> 00:03:26,100
+drawing let's see this issue in the clear drawing
+
+59
+00:03:26,100 --> 00:03:34,740
+here I have a single large prism large prism its
+
+60
+00:03:34,740 --> 00:03:39,760
+base height is 10 millimeters its thickness is 10
+
+61
+00:03:39,760 --> 00:03:44,110
+millimeters and its lengthand the length is 40
+
+62
+00:03:44,110 --> 00:03:48,130
+millimeters 40 millimeters this is the apex angle
+
+63
+00:03:48,130 --> 00:03:52,850
+its apex angle has a certain value let's say 20
+
+64
+00:03:52,850 --> 00:03:56,730
+degrees let's say 20 degrees okay now the apex
+
+65
+00:03:56,730 --> 00:04:02,510
+angle is 20 degrees for example if we bring small
+
+66
+00:04:02,510 --> 00:04:07,480
+prismsthis is a prism and this is also a prism and
+
+67
+00:04:07,480 --> 00:04:10,140
+this is also a prism the first prism is its apex
+
+68
+00:04:10,140 --> 00:04:13,360
+which indicates it the second prism is its apex
+
+69
+00:04:13,360 --> 00:04:15,340
+which is the same direction of the apex and the
+
+70
+00:04:15,340 --> 00:04:18,800
+same direction of the base if we compare them to
+
+71
+00:04:18,800 --> 00:04:21,620
+the large prism here the base is on the right and
+
+72
+00:04:21,620 --> 00:04:23,360
+the apex is on the left here the same thing the
+
+73
+00:04:23,360 --> 00:04:25,020
+base is on the right and the apex is on the left
+
+74
+00:04:25,020 --> 00:04:26,580
+the base is on the right and the apex is on the
+
+75
+00:04:26,580 --> 00:04:27,420
+left and so on
+
+76
+00:04:30,260 --> 00:04:34,220
+the apical angle of each prism here this is 20
+
+77
+00:04:34,220 --> 00:04:36,120
+degrees and this is 20 degrees and this is 20
+
+78
+00:04:36,120 --> 00:04:37,840
+degrees and this is 20 degrees and this is 20
+
+79
+00:04:37,840 --> 00:04:39,280
+degrees and this is 20 degrees and this is 20
+
+80
+00:04:39,280 --> 00:04:39,420
+degrees and this is 20 degrees and this is 20
+
+81
+00:04:39,420 --> 00:04:39,420
+degrees and this is 20 degrees and this is 20
+
+82
+00:04:39,420 --> 00:04:39,420
+degrees and this is 20 degrees and this is 20
+
+83
+00:04:39,420 --> 00:04:39,420
+degrees and this is 20 degrees and this is 20
+
+84
+00:04:39,420 --> 00:04:39,420
+degrees and this is 20 degrees and this is 20
+
+85
+00:04:39,420 --> 00:04:39,420
+degrees and this is 20 degrees and this is 20
+
+86
+00:04:39,420 --> 00:04:39,420
+degrees and this is 20 degrees and this is 20
+
+87
+00:04:39,420 --> 00:04:39,420
+degrees and this is 20 degrees and this is 20
+
+88
+00:04:39,420 --> 00:04:39,420
+degrees and this is 20 degrees and this is 20
+
+89
+00:04:39,420 --> 00:04:39,420
+degrees and this is 20 degrees and this is 20
+
+90
+00:04:39,420 --> 00:04:39,540
+degrees and this is 20 degrees and this is 20
+
+91
+00:04:39,540 --> 00:04:39,540
+degrees and this is 20 degrees and this is 20
+
+92
+00:04:39,540 --> 00:04:39,840
+degrees and this is 20 degrees and this is 20
+
+93
+00:04:39,840 --> 00:04:39,860
+degrees and this is 20 degrees and this is 20
+
+94
+00:04:39,860 --> 00:04:39,880
+degrees and this is 20 degrees and this is 20
+
+95
+00:04:39,880 --> 00:04:39,940
+degrees and this is 20 degrees and this is 20
+
+96
+00:04:39,940 --> 00:04:40,580
+degrees and this is 20 degrees and this is 20
+
+97
+00:04:40,580 --> 00:04:44,920
+degrees and this is 20 degrees and this is 20
+
+98
+00:04:44,920 --> 00:04:47,840
+degrees and
+
+99
+00:04:53,280 --> 00:04:59,000
+ونفذناهم على شريحة من اللدائن ال plastic أو مادة
+
+100
+00:04:59,000 --> 00:05:02,380
+معينة يعني شبيه بال plastic زي ال polyvinyl
+
+101
+00:05:02,380 --> 00:05:08,820
+alcohol هدولة ال prismات بيشتغلوا أو بيقوموا مقام
+
+102
+00:05:08,820 --> 00:05:13,170
+ال prism الكبير في العملmeans exactly the force of
+
+103
+00:05:13,170 --> 00:05:15,970
+this small prism is equal to the force of this big
+
+104
+00:05:15,970 --> 00:05:18,610
+prism and this force, but I can't say that their
+
+105
+00:05:18,610 --> 00:05:22,490
+total force is 20 and 20 and 20 and 20, it's like
+
+106
+00:05:22,490 --> 00:05:26,590
+their apex angle is 100 or 200 or 300, no, that's
+
+107
+00:05:26,590 --> 00:05:29,410
+not what I meant, that they stand like a big
+
+108
+00:05:29,410 --> 00:05:34,130
+prism, their apex angle is equal to the apex angle
+
+109
+00:05:34,130 --> 00:05:37,010
+of each of them. Okay, what is the goal of the
+
+110
+00:05:37,010 --> 00:05:40,070
+production of Fresnel Prism? To reduce weight and
+
+111
+00:05:40,070 --> 00:05:43,410
+reduce thicknessIt is clear that here if we want
+
+112
+00:05:43,410 --> 00:05:46,490
+to attach this Librasm to his glasses, there will
+
+113
+00:05:46,490 --> 00:05:49,490
+be an area with it on one side of the glasses
+
+114
+00:05:49,490 --> 00:05:53,430
+which is very thick and on the other side which is
+
+115
+00:05:53,430 --> 00:05:57,310
+very thin As we saw in one of the pictures when we
+
+116
+00:05:57,310 --> 00:06:04,630
+started talking about Librasms The
+
+117
+00:06:04,630 --> 00:06:06,290
+following picture will clarify the matter
+
+118
+00:06:12,920 --> 00:06:16,680
+لأ هي مش .. مش في المساقة ده، في مساقة اللي حوالي،
+
+119
+00:06:16,680 --> 00:06:21,820
+بنجيبها من ال net I
+
+120
+00:06:21,820 --> 00:06:26,480
+prism incorporation
+
+121
+00:06:26,480 --> 00:06:30,740
+into
+
+122
+00:06:30,740 --> 00:06:38,740
+spectacles هيكون
+
+123
+00:06:38,740 --> 00:06:45,190
+عندىهي عدسة ومعها prism من حفة معينة هيكون خميل
+
+124
+00:06:45,190 --> 00:06:49,390
+جدا، حفة تانية الصمك طبيعي، بس الحفة .. أحد الحفف
+
+125
+00:06:49,390 --> 00:06:52,910
+هتكون .. فهذه عشان أتفاد هذه القضية .. عشان أتفاد
+
+126
+00:06:52,910 --> 00:06:57,030
+هذه القضية، بلجأ لمه يسمى peripheral prism، واللي
+
+127
+00:06:57,030 --> 00:07:05,790
+هنشوفه احنا بعد شوية نرجع
+
+128
+00:07:05,790 --> 00:07:12,900
+للصورة بتاعتنا إذاThis is a series of
+
+129
+00:07:12,900 --> 00:07:18,260
+small prisms. Each prism has an apical angle which
+
+130
+00:07:18,260 --> 00:07:21,500
+is equal to the apical angle of the large prism.
+
+131
+00:07:21,660 --> 00:07:28,460
+All these prisms together block this big prism. So
+
+132
+00:07:28,460 --> 00:07:36,330
+that acts as a single large prism.This
+
+133
+00:07:36,330 --> 00:07:50,570
+Leprinoliprism shows that this cell is made from
+
+134
+00:07:50,570 --> 00:07:53,930
+polyvinyl chloride, not polyvinyl alcohol, sorry.
+
+135
+00:07:54,450 --> 00:07:58,370
+Polyvinyl chloride from the polyvinyl chloride
+
+136
+00:07:58,370 --> 00:08:00,950
+substance. Of course, it is a transparent
+
+137
+00:08:00,950 --> 00:08:04,650
+substance, so it can be used in the production of
+
+138
+00:08:04,650 --> 00:08:07,320
+Leprinoliprism.The Fresnel prism is like any
+
+139
+00:08:07,320 --> 00:08:10,280
+normal prism, like any large prism, it has a base
+
+140
+00:08:10,280 --> 00:08:12,800
+and it has an apex, but because it is small, it is
+
+141
+00:08:12,800 --> 00:08:14,800
+not clear where is the base and where is the apex,
+
+142
+00:08:14,900 --> 00:08:18,020
+so we are in manufacturing this Fresnel prism that
+
+143
+00:08:18,020 --> 00:08:19,740
+we will extract from it and stick it in the
+
+144
+00:08:19,740 --> 00:08:23,350
+glassesThis is the circular piece. We will
+
+145
+00:08:23,350 --> 00:08:26,910
+partially glue it to the glass. I will have a
+
+146
+00:08:26,910 --> 00:08:31,430
+guide to the base down here and the strength of
+
+147
+00:08:31,430 --> 00:08:34,270
+the prism here is 12 diopter prisms. If I bring
+
+148
+00:08:34,270 --> 00:08:37,150
+the frame of the glass and put it like this
+
+149
+00:08:43,970 --> 00:08:48,110
+this part will have a base down prism if I turn
+
+150
+00:08:48,110 --> 00:08:50,610
+it, this is the highest frame, the highest frame
+
+151
+00:08:50,610 --> 00:08:58,170
+here if I turn it, it will have .. or let's take
+
+152
+00:08:58,170 --> 00:08:59,410
+something that looks more like the frame of the
+
+153
+00:08:59,410 --> 00:09:03,070
+glasses so that it is wider on one side and
+
+154
+00:09:03,070 --> 00:09:04,190
+narrower on the other
+
+155
+00:09:14,530 --> 00:09:22,910
+Let's take this shape To
+
+156
+00:09:22,910 --> 00:09:24,610
+know where is the highest frame and where is the
+
+157
+00:09:24,610 --> 00:09:24,770
+lowest frame
+
+158
+00:09:39,630 --> 00:09:44,230
+So this flat is the highest frame of the glasses
+
+159
+00:09:44,230 --> 00:09:45,910
+and this is the lowest frame of the glasses So if
+
+160
+00:09:45,910 --> 00:09:52,630
+we put this frame in this shape So base down prism
+
+161
+00:09:52,630 --> 00:09:57,970
+So if we flip it
+
+162
+00:09:57,970 --> 00:10:04,190
+like this The
+
+163
+00:10:04,190 --> 00:10:06,710
+highest frame will be at the bottom So this will
+
+164
+00:10:06,710 --> 00:10:13,970
+be the base up prismلو حطينا زي هيك، هيعطيني
+
+165
+00:10:13,970 --> 00:10:18,850
+effect إما إذا كان هنا ال nose، إذا كان هنا هيكون
+
+166
+00:10:18,850 --> 00:10:22,250
+ال nose، يعني هذه لل right eye، هيكون عندي base in
+
+167
+00:10:22,250 --> 00:10:27,110
+the prismإذا كان جلبته لعكس هيكون base up prism و
+
+168
+00:10:27,110 --> 00:10:30,790
+هذا الكلام في ال dispensing بنعرف أو بنتعرف عليه
+
+169
+00:10:30,790 --> 00:10:35,990
+بشكل أفضل في ال dispensing هتتعرفوا عليه بشكل أفضل
+
+170
+00:10:35,990 --> 00:10:39,650
+طيب إذا أنا ممكن لفرين ال prism ألسقه بالنضارة
+
+171
+00:10:39,650 --> 00:10:44,310
+بشكل base up أو base down أو base in أو base out
+
+172
+00:10:44,310 --> 00:10:48,390
+حسب اتجاه الحوال اللي أنا بدي أصلحه طيب نفرض إنه
+
+173
+00:10:48,390 --> 00:10:53,930
+إيجادني القطعة هذه الدائريةI don't know where is
+
+174
+00:10:53,930 --> 00:10:57,530
+the base. This is the outer part of the frame that
+
+175
+00:10:57,530 --> 00:11:00,970
+tells me where is the base and how strong is the
+
+176
+00:11:00,970 --> 00:11:06,210
+prism. It's not there. The patient brought me a
+
+177
+00:11:06,210 --> 00:11:09,450
+piece or bought a piece that doesn't specify where
+
+178
+00:11:09,450 --> 00:11:11,750
+is the base and where is the apex. So I can
+
+179
+00:11:11,750 --> 00:11:15,610
+identify it with a very simple experiment. I put
+
+180
+00:11:15,610 --> 00:11:20,060
+any target under the prism frame.This is a Fresnel
+
+181
+00:11:20,060 --> 00:11:22,100
+prism, which means prism, so this is a target
+
+182
+00:11:22,100 --> 00:11:25,660
+coming horizontally I put a piece of Fresnel prism
+
+183
+00:11:25,660 --> 00:11:28,900
+Of course it's here, but this is just to clarify
+
+184
+00:11:28,900 --> 00:11:34,040
+the experiment We see that the image or part of
+
+185
+00:11:34,040 --> 00:11:37,500
+the pencil, which is the target that I put, tilts
+
+186
+00:11:37,500 --> 00:11:40,380
+upwards, the image always tilts towards the apex
+
+187
+00:11:40,380 --> 00:11:43,600
+As long as it tilts upwards compared to the rest
+
+188
+00:11:43,600 --> 00:11:46,760
+of the pencil, then the apex is up, then the base
+
+189
+00:11:46,760 --> 00:11:49,810
+is downSo this is the base, and so on, so I can
+
+190
+00:11:49,810 --> 00:11:53,410
+know the direction of the apex from the base by
+
+191
+00:11:53,410 --> 00:11:57,410
+putting any target and look at it This Fresnel
+
+192
+00:11:57,410 --> 00:11:59,550
+prism, how do I want to stick it in the glasses?
+
+193
+00:12:00,370 --> 00:12:03,610
+Let's go to the magnifying glass Of course, I
+
+194
+00:12:03,610 --> 00:12:08,830
+stick it, of course it has a flat edge Flat edge
+
+195
+00:12:08,830 --> 00:12:12,940
+here in the drawing, flat edge hereand a
+
+196
+00:12:12,940 --> 00:12:15,560
+protruding edge called the prisma. The protruding
+
+197
+00:12:15,560 --> 00:12:17,080
+edge is what begins to stick to the surface of the
+
+198
+00:12:17,080 --> 00:12:21,950
+rear glass.فى سطح النضارة الخالفى والحفة المتعرجة
+
+199
+00:12:21,950 --> 00:12:25,030
+اللى هى لبرزمات بدها تواجه عين المريض بدها تواجه
+
+200
+00:12:25,030 --> 00:12:30,170
+عين المريض اذا هو يلصق على السطح الخالفى للنضارة
+
+201
+00:12:30,170 --> 00:12:33,930
+اول حاجة بجيب القطعة الدائرية بلصقها على السطح
+
+202
+00:12:33,930 --> 00:12:38,330
+الخالفى و بجلم بسيط هيك احدد طبعا بده احطها باتجاه
+
+203
+00:12:38,330 --> 00:12:41,370
+ال base اللى انا بديها اما base up او base down او
+
+204
+00:12:41,370 --> 00:12:46,670
+base in ناحية ال nose او base out ناحية بعيدا عن
+
+205
+00:12:48,110 --> 00:12:51,910
+الأنف بعيدا عن الانف. كيف اعرف ال .. ال base؟ بشوف
+
+206
+00:12:51,910 --> 00:12:55,190
+وان الصورة راحت، ال .. ال base عكس الصورة، عكس
+
+207
+00:12:55,190 --> 00:12:59,130
+الصورة، فبلثقها حسب ال .. الانف طبعا بعد ما حددت
+
+208
+00:12:59,130 --> 00:13:04,450
+بالجلم، هاي التحديد بالجلم، بقى جوس بالامجاصحسب
+
+209
+00:13:04,450 --> 00:13:09,090
+التحديد عشان يناسب إطار النضارة و بنعمها بشكل كويس
+
+210
+00:13:09,090 --> 00:13:13,870
+تمام؟ بعدين باجي بقى بخ ميه على السطح الخلفي أو
+
+211
+00:13:13,870 --> 00:13:18,070
+بحط على أصبعي نقط .. نقطتين أو تلاتة من الماء و
+
+212
+00:13:18,070 --> 00:13:21,830
+بادهن السطح الأملس من ال prism بادهن السطح الأملس
+
+213
+00:13:21,830 --> 00:13:25,050
+من ال prism بأصبعي عشان ..
+
+214
+00:13:27,950 --> 00:13:34,290
+يعني يتبلل أو بستعمل بخّاق من الماء و بالسق ..
+
+215
+00:13:34,290 --> 00:13:38,330
+بالسق زي ما احنا شايفين من .. ببدأ من حفة و بتحرك
+
+216
+00:13:38,330 --> 00:13:43,830
+باتجاه الحفة و بأصبعي ب .. يعني ألسق السطح الاملس
+
+217
+00:13:43,830 --> 00:13:49,210
+للفرن البرزم بالسطح الخالفي للنضارة لغاية ما أتم
+
+218
+00:13:49,210 --> 00:13:53,330
+عملية اللسق يعني how to useor how to apply using
+
+219
+00:13:53,330 --> 00:13:57,930
+water So I have many useful things in this prism
+
+220
+00:13:57,930 --> 00:14:00,930
+The first thing is that it is very light It is not
+
+221
+00:14:00,930 --> 00:14:05,870
+comparable to the prism that we saw a while ago on
+
+222
+00:14:05,870 --> 00:14:08,570
+the internet This prism is very heavy, it makes
+
+223
+00:14:08,570 --> 00:14:13,150
+the glasses very heavy Here the prism is almost
+
+224
+00:14:13,150 --> 00:14:19,100
+weightless because it is light Easy to useIt's
+
+225
+00:14:19,100 --> 00:14:22,720
+easy to cut, it's easy to boil. Can I remove it
+
+226
+00:14:22,720 --> 00:14:24,900
+again after sticking it with water? Yes, I can
+
+227
+00:14:24,900 --> 00:14:28,560
+remove it again, wipe if there's some water
+
+228
+00:14:28,560 --> 00:14:32,300
+droplets or dust between it and the back of the
+
+229
+00:14:32,300 --> 00:14:37,940
+glasses. I can clean itبأي وسيلة بسيطة يعني بفرشات
+
+230
+00:14:37,940 --> 00:14:41,720
+الأسنان مثلا إذا تراكمت غبار أو شيء من هذا في
+
+231
+00:14:41,720 --> 00:14:45,780
+الفرزات بين البرزمات فبالتالي في فوائد كتيرة جدا
+
+232
+00:14:45,780 --> 00:14:50,360
+إليه منها إنه خفيف الوزن و هذا طبعا ممكن أستعمله
+
+233
+00:14:50,360 --> 00:14:55,500
+لعين تين أو لعين واحدة لعين تين أو لعين واحدة ممكن
+
+234
+00:14:55,500 --> 00:14:58,260
+أستعمله horizontal زي ما أحنا شايفين ممكن أستعمله
+
+235
+00:14:58,260 --> 00:15:01,660
+.. عفوا vertical هذا vertical apex إما up أو down
+
+236
+00:15:02,320 --> 00:15:05,540
+Tama'am? Here horizontal, Apex either out or in,
+
+237
+00:15:06,060 --> 00:15:10,480
+and here I can use oblique, oblique I use if I
+
+238
+00:15:10,480 --> 00:15:14,380
+have horizontal and vertical diplopia, I make them
+
+239
+00:15:14,380 --> 00:15:17,180
+compensation, meaning compensation or compensation
+
+240
+00:15:17,180 --> 00:15:19,120
+of the angle of rotation, if I have a horizontal
+
+241
+00:15:19,120 --> 00:15:22,190
+rotation and a vertical rotationفبعود عنهم ب
+
+242
+00:15:22,190 --> 00:15:26,510
+Oblique Prism بيسد عن ال Prismين ال Prism
+
+243
+00:15:26,510 --> 00:15:31,030
+Horizontal و ال Prism Vertical و تحديد اتجاه ال
+
+244
+00:15:31,030 --> 00:15:34,630
+base و ميلان ال Prism على المحور الأفقي أو العمودي
+
+245
+00:15:34,630 --> 00:15:38,770
+أخدناه في ال vector addition of Prisms طبعا هنا
+
+246
+00:15:38,770 --> 00:15:43,390
+الرسمة بتوضح ان ال base .. ال base up and inup and
+
+247
+00:15:43,390 --> 00:15:47,250
+in يعني ال apex out and down out and down هنا
+
+248
+00:15:47,250 --> 00:15:51,430
+horizontal prism horizontal prism يعني ال apex إما
+
+249
+00:15:51,430 --> 00:15:54,790
+لجوة و ال base لبرا أو العكس يعني base out أو base
+
+250
+00:15:54,790 --> 00:15:58,770
+in هنا أنا اقطعت هنا من جزء من الصورة عشان نعرف
+
+251
+00:15:58,770 --> 00:16:05,290
+بدون ما حد يقولنا هل ال apex out ولا in هل ال apex
+
+252
+00:16:05,290 --> 00:16:07,110
+out ولا in طبعا
+
+253
+00:16:09,450 --> 00:16:12,290
+If we notice here, we find that the position of
+
+254
+00:16:12,290 --> 00:16:14,490
+the glasses behind the prism is shifted in this
+
+255
+00:16:14,490 --> 00:16:17,690
+direction In this direction, compared to the part
+
+256
+00:16:17,690 --> 00:16:21,390
+of the arm If we notice here, it is shifted inward
+
+257
+00:16:21,390 --> 00:16:25,370
+a little compared to what is left of the glasses
+
+258
+00:16:25,370 --> 00:16:27,170
+arm, so it is shifted inward, which means that the
+
+259
+00:16:27,170 --> 00:16:29,850
+apex is inward, and this is based out of the prism
+
+260
+00:16:29,850 --> 00:16:32,490
+This is based out of the prism, so without anyone
+
+261
+00:16:32,490 --> 00:16:35,010
+telling me that I can know the direction of the
+
+262
+00:16:35,010 --> 00:16:39,790
+baseإذا ماقدرتش أعرف، أنا بلبس نفسي النضارة و بشوف
+
+263
+00:16:39,790 --> 00:16:44,630
+لوين زيغا الصورة، الصورة دائما بتنحرف أو بتزوغ
+
+264
+00:16:44,630 --> 00:16:48,430
+باتجاه ال apex بتاعة librism، باتجاه ال apex بتاعة
+
+265
+00:16:48,430 --> 00:16:52,030
+librism، هاي رسمة تمثيلية ل .. او simulation ل
+
+266
+00:16:52,030 --> 00:16:55,630
+librism إنه هذه السلسلة من ال librismات بتصد عن
+
+267
+00:16:55,630 --> 00:16:59,850
+large prism بنفس ال apex angle، بنفس ال apex angle
+
+268
+00:17:01,340 --> 00:17:04,820
+طبعا ال friendly prism is typically used to avoid
+
+269
+00:17:04,820 --> 00:17:08,660
+the weight of some of .. and some to avoid weight
+
+270
+00:17:08,660 --> 00:17:12,960
+عشان اتجنب الوزن الثقيل لل large prism and some of
+
+271
+00:17:12,960 --> 00:17:16,540
+aberrations of conventional prism عشان اتجنب ال
+
+272
+00:17:16,540 --> 00:17:19,590
+aberrations اللي حكينا عنها قبل شويةwhich is
+
+273
+00:17:19,590 --> 00:17:22,230
+chromatic aberration, asymmetrical field,
+
+274
+00:17:23,590 --> 00:17:27,590
+asymmetrical magnification, curvature of field,
+
+275
+00:17:28,070 --> 00:17:31,590
+and so on The most popular form of Fresnel prism
+
+276
+00:17:31,590 --> 00:17:32,670
+is a membrane
+
+277
+00:17:39,140 --> 00:17:44,480
+molded from clear polyvinylachloride مصنوع من مادة
+
+278
+00:17:44,480 --> 00:17:48,960
+الـ polyvinylachloride الشفافة ومعروف إله اسم
+
+279
+00:17:48,960 --> 00:17:52,760
+بيسموه Fresnel Prism أو بيسموه Press-on Prism
+
+280
+00:17:52,760 --> 00:17:59,790
+Press-on Prism يعني بنضغط على السطح الخلفي لIt is
+
+281
+00:17:59,790 --> 00:18:02,530
+applied with water to the back surface on the
+
+282
+00:18:02,530 --> 00:18:06,930
+ordinary spectacle lens على النضارة العادية Press
+
+283
+00:18:06,930 --> 00:18:10,110
+-on prisms are available in a variety of powers
+
+284
+00:18:10,110 --> 00:18:13,710
+Visual
+
+285
+00:18:13,710 --> 00:18:18,150
+acuity
+
+286
+00:18:18,150 --> 00:18:21,830
+is reduced
+
+287
+00:18:21,830 --> 00:18:24,850
+because of light scattering at the groove edges
+
+288
+00:18:25,610 --> 00:18:27,870
+means that the convergence of these grooves
+
+289
+00:18:27,870 --> 00:18:32,730
+between the small prisms makes a scattering of
+
+290
+00:18:32,730 --> 00:18:35,190
+light that is less than the width of the eye
+
+291
+00:18:35,190 --> 00:18:42,870
+instead of being 6x6 it can be 6x9 or 6x12 and so
+
+292
+00:18:42,870 --> 00:18:46,170
+on so visual acuity is reduced because of light
+
+293
+00:18:46,170 --> 00:18:48,370
+scattering at the groove edges this is the first
+
+294
+00:18:48,370 --> 00:18:51,250
+flaw which is visual acuity reduction
+
+295
+00:18:54,050 --> 00:18:56,990
+But the chromatic aberration of the prisms
+
+296
+00:18:56,990 --> 00:19:01,990
+themselves produce the most .. produces most of
+
+297
+00:19:01,990 --> 00:19:05,350
+the visual decrement. The visual acuity be .. be
+
+298
+00:19:05,350 --> 00:19:08,190
+.. be .. be .. be .. be .. be less than if the
+
+299
+00:19:08,190 --> 00:19:10,550
+prisms are not present, if the Fresnel prism is
+
+300
+00:19:10,550 --> 00:19:14,490
+not presentbecause of light scattering and because
+
+301
+00:19:14,490 --> 00:19:16,350
+of chromatic aberration, which is one of the most
+
+302
+00:19:16,350 --> 00:19:19,910
+important factors in vision loss. If someone asks
+
+303
+00:19:19,910 --> 00:19:23,310
+me what is the reason for wearing a press-on prism
+
+304
+00:19:23,310 --> 00:19:26,570
+or friendly prism with his glasses, he will have a
+
+305
+00:19:26,570 --> 00:19:29,310
+reduction in vision for two reasons. The first
+
+306
+00:19:29,310 --> 00:19:31,390
+reason is chromatic aberration, which is the most
+
+307
+00:19:31,390 --> 00:19:32,710
+important factor. The second reason is light
+
+308
+00:19:32,710 --> 00:19:34,250
+scattering.
+
+309
+00:19:51,170 --> 00:19:57,580
+The advantages of these prisms far outweighthe
+
+310
+00:19:57,580 --> 00:20:00,240
+disadvantage. Of course, the advantages of Fresnel
+
+311
+00:20:00,240 --> 00:20:04,240
+Prism are more than its disadvantages and they are
+
+312
+00:20:04,240 --> 00:20:07,500
+widely used in the field of strabismus and
+
+313
+00:20:07,500 --> 00:20:11,480
+orthoptics. Of course, Fresnel Prism is widely
+
+314
+00:20:11,480 --> 00:20:14,800
+used in the field of circumcision and in the field
+
+315
+00:20:14,800 --> 00:20:17,360
+of visual exercises related to circumcision which
+
+316
+00:20:17,360 --> 00:20:23,120
+are orthoptic exercises. Because of their ease of
+
+317
+00:20:23,120 --> 00:20:27,240
+use,of application, because they are easy to use,
+
+318
+00:20:27,680 --> 00:20:30,160
+and lower expenses, which are relatively
+
+319
+00:20:30,160 --> 00:20:31,140
+inexpensive.
+
+320
+00:20:33,420 --> 00:20:36,240
+The breasts on the prisms are especially useful
+
+321
+00:20:36,240 --> 00:20:40,020
+for patients whose strabismus is changing. You
+
+322
+00:20:40,020 --> 00:20:44,280
+might ask, does this person have a squint?وممكن
+
+323
+00:20:44,280 --> 00:20:47,180
+نعمله عملية جراحية بس أحياناً كتير بيكون this
+
+324
+00:20:47,180 --> 00:20:50,020
+point variable يعني أو .. or changing يعني من فترة
+
+325
+00:20:50,020 --> 00:20:54,960
+لفترة بتغير أو ممكن يتحسن يعني يكون بدأ بسبب معين
+
+326
+00:20:54,960 --> 00:20:59,970
+يعني مثلا ..A lot of people who have for example 6
+
+327
+00:20:59,970 --> 00:21:07,650
+nerve palsy, because of a simple reason, or for
+
+328
+00:21:07,650 --> 00:21:09,730
+example he has diabetes and he has a deficiency in
+
+329
+00:21:09,730 --> 00:21:11,970
+the sixth nerve, a lot of them recover
+
+330
+00:21:11,970 --> 00:21:14,390
+immediately. So the deficiency of the sixth nerve
+
+331
+00:21:14,390 --> 00:21:16,470
+weakens the lateral rectus and he will have
+
+332
+00:21:16,470 --> 00:21:20,840
+esotropia. Usually this esotropia is temporary.So,
+
+333
+00:21:21,360 --> 00:21:24,880
+I don't need any surgical intervention and I start
+
+334
+00:21:24,880 --> 00:21:27,240
+recovering. Of course, during the period of
+
+335
+00:21:27,240 --> 00:21:29,960
+esotropia or a defect in the sixth nerve, I can
+
+336
+00:21:29,960 --> 00:21:33,100
+use the Fresnel Prism to get rid of the diplopia
+
+337
+00:21:33,100 --> 00:21:37,520
+until I recover and start every three or four
+
+338
+00:21:37,520 --> 00:21:40,340
+weeks to change it or reduce it in the force of
+
+339
+00:21:40,340 --> 00:21:43,280
+the Prism as long as it starts to recover until I
+
+340
+00:21:43,280 --> 00:21:47,970
+remove it once.So, this case is very useful to
+
+341
+00:21:47,970 --> 00:21:52,110
+frame the presumption in the situation if the
+
+342
+00:21:52,110 --> 00:21:55,630
+strabismus is changing, if the strabismus is
+
+343
+00:21:55,630 --> 00:21:59,630
+changing, which is in the case of change in the
+
+344
+00:21:59,630 --> 00:22:00,890
+case of change in the case of change in the case
+
+345
+00:22:00,890 --> 00:22:00,890
+of change in the case of change in the case of
+
+346
+00:22:00,890 --> 00:22:00,990
+change in the case of change in the case of change
+
+347
+00:22:00,990 --> 00:22:01,170
+in the case of change in the case of change in the
+
+348
+00:22:01,170 --> 00:22:02,410
+case of change in the case of change in the case
+
+349
+00:22:02,410 --> 00:22:02,990
+of change in the case of change in the case of
+
+350
+00:22:02,990 --> 00:22:02,990
+change in the case of change in the case of change
+
+351
+00:22:02,990 --> 00:22:02,990
+in the case of change in the case of change in the
+
+352
+00:22:02,990 --> 00:22:02,990
+case of change in the case of change in the case
+
+353
+00:22:02,990 --> 00:22:02,990
+of change in the case of change in the case of
+
+354
+00:22:02,990 --> 00:22:02,990
+change in the case of change in the case of change
+
+355
+00:22:02,990 --> 00:22:03,030
+in the case of change in the case of change in the
+
+356
+00:22:03,030 --> 00:22:03,030
+case of change in the case of change in the case
+
+357
+00:22:03,030 --> 00:22:03,070
+of change in the case of change in the case of
+
+358
+00:22:03,070 --> 00:22:03,090
+change in the case of change in the case of change
+
+359
+00:22:03,090 --> 00:22:04,130
+in the case of change in the case of change in the
+
+360
+00:22:04,130 --> 00:22:08,450
+case of change in
+
+361
+00:22:08,770 --> 00:22:14,310
+a kidney disease that affected the eye and caused
+
+362
+00:22:14,310 --> 00:22:21,090
+swelling in some parts of the eye. So this issue
+
+363
+00:22:21,090 --> 00:22:24,270
+is going to be clear. Fresnel lenses are also
+
+364
+00:22:24,270 --> 00:22:27,650
+available with concentric groove construction to
+
+365
+00:22:27,650 --> 00:22:32,330
+approximate spherical lenses. These fresnel lenses
+
+366
+00:22:32,330 --> 00:22:34,610
+look exactly like conventional spherical lenses.
+
+367
+00:22:35,530 --> 00:22:39,510
+But its idea is exactly like the idea of the
+
+368
+00:22:39,510 --> 00:22:44,010
+Fresnel prism and also this is also a way of means
+
+369
+00:22:44,010 --> 00:22:47,630
+that I don't have a big thickness for the lens,
+
+370
+00:22:47,710 --> 00:22:51,710
+for the lens, so Fresnel lenses, Fresnel lenses is
+
+371
+00:22:51,710 --> 00:22:55,530
+the same idea of Fresnel prisms We stop at this
+
+372
+00:22:55,530 --> 00:22:58,010
+point and God bless you and peace be upon you
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/-Zn4DW4Cgv0_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/-Zn4DW4Cgv0_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9ca2f5a94bebdc2cb8e7f59cb141a9589f75eea9
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/-Zn4DW4Cgv0_raw.srt
@@ -0,0 +1,1716 @@
+1
+00:00:02,630 --> 00:00:05,890
+بسم الله الرحمن الرحيم بنستكمل مع محاضرات ال
+
+2
+00:00:05,890 --> 00:00:12,310
+Geometric Optics وتوقفنا عند ال Prismatic Effectof
+
+3
+00:00:12,310 --> 00:00:18,450
+lenses must be
+
+4
+00:00:18,450 --> 00:00:21,730
+anticipated in the design of bifocal lenses to
+
+5
+00:00:21,730 --> 00:00:26,170
+minimize image displacement and image jump. Image
+
+6
+00:00:26,170 --> 00:00:27,710
+displacement and image jump.
+
+7
+00:00:36,740 --> 00:00:42,720
+The bifocal is the center of the addition from the
+
+8
+00:00:42,720 --> 00:00:47,260
+center of the distance segment The center of the
+
+9
+00:00:47,260 --> 00:00:49,760
+near segment and the center of the distance
+
+10
+00:00:49,760 --> 00:00:52,700
+segment when they are close to each other there is
+
+11
+00:00:52,700 --> 00:00:56,140
+no image displacement or image jump while when
+
+12
+00:00:56,140 --> 00:00:59,100
+they are away from each other there can be image
+
+13
+00:00:59,100 --> 00:01:04,240
+displacement or image jump and consequently I have
+
+14
+00:01:04,240 --> 00:01:07,110
+the flat top bifocal most suitable for thisThe
+
+15
+00:01:07,110 --> 00:01:09,690
+subject, especially when we talk about the plus
+
+16
+00:01:09,690 --> 00:01:12,430
+lenses When we talk about the plus lenses, let's
+
+17
+00:01:12,430 --> 00:01:18,850
+continue now also the prismatic effect I mean,
+
+18
+00:01:19,090 --> 00:01:23,490
+what are also its benefits that I can benefit from
+
+19
+00:01:23,490 --> 00:01:25,790
+the prismatic effect of lenses I mean, how do I
+
+20
+00:01:25,790 --> 00:01:29,550
+make the lens of the glasses work not only as a
+
+21
+00:01:29,550 --> 00:01:33,390
+lens, but also work as a prism Work as a prism
+
+22
+00:01:33,650 --> 00:01:37,090
+بيفيدني هدفي إيش؟ إنه العدسة بتاعة النضارة،
+
+23
+00:01:37,090 --> 00:01:40,990
+الإنسان لابس و لابس نضارة، فكيف أخلي العدسة تشتغل
+
+24
+00:01:40,990 --> 00:01:47,290
+كعدسة، كrefractive يعني tool، يعني أداء
+
+25
+00:01:47,290 --> 00:01:51,290
+للrefraction، لتثبيت الأشعة وعمل focus إليها على
+
+26
+00:01:51,290 --> 00:01:56,170
+الشبكة، وكيف إنها تشتغل في نفس الوقت كprism، كيف
+
+27
+00:01:56,170 --> 00:01:59,910
+ده بيتم؟ The clinician can induce prismatic effect
+
+28
+00:02:00,550 --> 00:02:04,890
+in an ordinary spectacle, في نضارة عادية in an
+
+29
+00:02:04,890 --> 00:02:08,870
+ordinary spectacle lens كيف؟ simply ببساطة by de
+
+30
+00:02:08,870 --> 00:02:11,990
+-centering the lens in the frame so that the
+
+31
+00:02:11,990 --> 00:02:15,630
+visual axis in the primary position does not pass
+
+32
+00:02:15,630 --> 00:02:19,870
+through the optical center of the spectacle lens
+
+33
+00:02:19,870 --> 00:02:21,490
+كيف هذا الكلام بيتم؟
+
+34
+00:02:24,040 --> 00:02:26,940
+Here I have the template which is the lens before
+
+35
+00:02:26,940 --> 00:02:29,940
+it is cut and becomes suitable for the frame of
+
+36
+00:02:29,940 --> 00:02:32,460
+the scooter The template is of course larger than
+
+37
+00:02:32,460 --> 00:02:35,300
+its diameter which is the lens for example I want
+
+38
+00:02:35,300 --> 00:02:38,360
+to put here a plus five lens in the frame I will
+
+39
+00:02:38,360 --> 00:02:40,740
+not bring it all and put it I have to cut it I
+
+40
+00:02:40,740 --> 00:02:42,780
+will make it edging Edging and this is in the
+
+41
+00:02:42,780 --> 00:02:45,460
+dispensing that is studied in detail This is the
+
+42
+00:02:45,460 --> 00:02:51,940
+template's center I want to bring this frame Its
+
+43
+00:02:51,940 --> 00:02:55,600
+dimensionsand I cut the cap, I cut the glass or
+
+44
+00:02:55,600 --> 00:02:58,260
+the lens itself, I cut it so that the center is in
+
+45
+00:02:58,260 --> 00:03:01,580
+the middle the center should be in the middle so
+
+46
+00:03:01,580 --> 00:03:06,060
+that the pupil comes exactly in the center exactly
+
+47
+00:03:06,060 --> 00:03:11,720
+in the center and therefore .. exactly .. the
+
+48
+00:03:11,720 --> 00:03:15,660
+center of the .. of the lens should come exactly
+
+49
+00:03:15,660 --> 00:03:17,760
+.. of course this happens when you cut .. sorry
+
+50
+00:03:19,800 --> 00:03:23,600
+هذا الجزء مش لازم، بس هناخد هذا الجزء اللي هو
+
+51
+00:03:23,600 --> 00:03:29,180
+مناسب لل friend، يعني تقطع من الكل و بيكتفي بهذا
+
+52
+00:03:29,180 --> 00:03:36,220
+الجزء طيب، أنا عاد بدي أجوس بشكل بحيث أنه يكون
+
+53
+00:03:36,220 --> 00:03:39,780
+عندي decentration عشان أحصل على prismatic effect،
+
+54
+00:03:39,780 --> 00:03:43,120
+decentration عشان أحصل على prismatic effect طبعا
+
+55
+00:03:43,120 --> 00:03:46,700
+النضارة، العين، عين الإنسان اللي لابس النضارة هضل
+
+56
+00:03:46,700 --> 00:03:53,040
+.. هضل تطلع من منتصف ال frame من منتصف ال frame
+
+57
+00:03:53,040 --> 00:04:00,980
+بينما ال center هنا ال center هنا أزيح عشان يكون
+
+58
+00:04:00,980 --> 00:04:07,040
+الصورة أوضح اذا
+
+59
+00:04:07,040 --> 00:04:12,830
+العين هتضل تتطلع من مص ال frameWhile the center of
+
+60
+00:04:12,830 --> 00:04:15,490
+the lens is fixed in the frame, which is the
+
+61
+00:04:15,490 --> 00:04:18,270
+glasses, the center is coming out temporarily
+
+62
+00:04:18,270 --> 00:04:23,230
+Okay, it can be cut in the following way
+
+63
+00:04:34,890 --> 00:04:38,430
+طبعا لما بيلبس النظارة هيكون العين في نص ال frame
+
+64
+00:04:38,430 --> 00:04:43,750
+هنا ال center بتاع العدسة اللي انجسط لجوا يعني ال
+
+65
+00:04:43,750 --> 00:04:48,710
+center صارله decentration in in decentration او
+
+66
+00:04:48,710 --> 00:04:53,490
+inward decentration طيب مثال اخر ممكن انا اجس
+
+67
+00:04:53,490 --> 00:04:58,910
+الشابلونة بالطريقة التالية دائما
+
+68
+00:04:58,910 --> 00:05:04,500
+و ابدا العين هتضلها في نص ال frameالان ال center
+
+69
+00:05:04,500 --> 00:05:08,800
+وين صار، الان ال center صار في الأسفل، اذا حسب انا
+
+70
+00:05:08,800 --> 00:05:12,020
+طريقة جثي لها وهذا مشروع في ال dispensing بشكل
+
+71
+00:05:12,020 --> 00:05:15,720
+بشكل ممتاز، طيب ممكن انا اعمل decentralization
+
+72
+00:05:15,720 --> 00:05:18,300
+مركب، يعني ايش decentralization مركب؟ نشوف المنظر
+
+73
+00:05:18,300 --> 00:05:24,440
+هذا، انا هجث الشبلونة بالشكل هذا، برضه العين
+
+74
+00:05:24,440 --> 00:05:31,590
+هتضلها تتطلع في نص ال frameThe eye will come out
+
+75
+00:05:31,590 --> 00:05:33,290
+from the middle of the frame, so it doesn't come
+
+76
+00:05:33,290 --> 00:05:35,390
+out from the center of the lens because the center
+
+77
+00:05:35,390 --> 00:05:40,530
+of the lens has out and up decentration Out and up
+
+78
+00:05:40,530 --> 00:05:45,570
+decentration, it became in the outer corner and
+
+79
+00:05:45,570 --> 00:05:51,570
+the top of this lens So the center of the lens
+
+80
+00:05:51,570 --> 00:05:54,330
+became here Okay, also among the complex things
+
+81
+00:05:58,520 --> 00:06:06,100
+ممكن اجس الشبلونة بالشكل هذا بحيث انه يكون عندى ال
+
+82
+00:06:06,100 --> 00:06:09,540
+.. طبعا الين هتبطلع من نص ال frame هنا ال center
+
+83
+00:06:09,540 --> 00:06:15,120
+وزيح لجوا و للأعلى in and up decentration طب ماليش
+
+84
+00:06:15,120 --> 00:06:19,800
+الهدف من كل هذا الكلام؟ طب ماليش معناه يعني اجس
+
+85
+00:06:19,800 --> 00:06:24,240
+الشبلونة من النص و يكون ال center في النص
+
+86
+00:06:27,850 --> 00:06:32,070
+ويتطلع من خلال الـSyntax، بنقول أحيانا إحنا بنحتاج
+
+87
+00:06:32,070 --> 00:06:35,800
+لprismatic effectWe need the prismatic effect
+
+88
+00:06:35,800 --> 00:06:38,040
+Instead of describing a pair of glasses, they
+
+89
+00:06:38,040 --> 00:06:41,760
+should wear glasses that have refractive error So
+
+90
+00:06:41,760 --> 00:06:44,040
+instead of describing a pair of glasses with a
+
+91
+00:06:44,040 --> 00:06:47,400
+prism in front of them, we want the same lens to
+
+92
+00:06:47,400 --> 00:06:51,100
+work as a lens and as a prism at the same time
+
+93
+00:06:51,100 --> 00:06:54,160
+How? By the law of decentration If we don't do
+
+94
+00:06:54,160 --> 00:06:58,420
+this, the visual axis or the eye will keep looking
+
+95
+00:06:58,420 --> 00:07:01,220
+through the center It is known that the prismatic
+
+96
+00:07:01,220 --> 00:07:05,320
+effect at the center is zeroإن العدسة في كل
+
+97
+00:07:05,320 --> 00:07:09,660
+نقاطها، في كل أجزائها ممكن تشتغل كprism بالإضافة
+
+98
+00:07:09,660 --> 00:07:14,280
+لكونها عدسة، بس إلا في نقطة واحدة مش ممكن تشتغل
+
+99
+00:07:14,280 --> 00:07:18,540
+كprism، اللي هي في ال center، في ال center،
+
+100
+00:07:18,540 --> 00:07:21,800
+فبالتاليIn the optical center, the pupil can't
+
+101
+00:07:21,800 --> 00:07:26,520
+stay up, so we need to move the optical center to
+
+102
+00:07:26,520 --> 00:07:29,880
+get a prismatic effect in a certain direction So
+
+103
+00:07:29,880 --> 00:07:34,380
+if we want base up, base down, base in, base out,
+
+104
+00:07:34,640 --> 00:07:36,200
+depending on what we want, depending on whether
+
+105
+00:07:36,200 --> 00:07:40,400
+the lens is minus or plus Okay, so sometimes we
+
+106
+00:07:40,400 --> 00:07:45,620
+need to get a prismatic effect from the lensOkay,
+
+107
+00:07:45,940 --> 00:07:49,460
+what's the use of this prismatic effect? What's
+
+108
+00:07:49,460 --> 00:07:53,120
+the use of it? We want to see this simple example
+
+109
+00:07:53,120 --> 00:07:57,640
+that we have And
+
+110
+00:07:57,640 --> 00:08:01,500
+this example explains many things Let's say I have
+
+111
+00:08:01,500 --> 00:08:04,720
+a straight eye, let's draw it
+
+112
+00:08:13,520 --> 00:08:16,100
+هي عين التانية اللي هي واحدة يمين واحدة شمال
+
+113
+00:09:23,250 --> 00:09:26,370
+This eye is straight, this eye is slightly iso,
+
+114
+00:09:26,910 --> 00:09:29,650
+slightly iso, it has a simple circle, it has a
+
+115
+00:09:29,650 --> 00:09:33,190
+refractive error, and as long as there is a simple
+
+116
+00:09:33,190 --> 00:09:37,210
+circle, we say as follows, this is the fovea, we
+
+117
+00:09:37,210 --> 00:09:37,690
+mark it
+
+118
+00:10:18,890 --> 00:10:23,650
+So, I have the fovea here straight on the target,
+
+119
+00:10:23,770 --> 00:10:32,190
+we draw a target This is the
+
+120
+00:10:32,190 --> 00:10:37,050
+object that the two eyes are looking at Now, in
+
+121
+00:10:37,050 --> 00:10:39,970
+order for the person to regain the binocular
+
+122
+00:10:39,970 --> 00:10:43,570
+single vision, like this light circle I can use a
+
+123
+00:10:43,570 --> 00:10:43,850
+simple prism
+
+124
+00:11:03,660 --> 00:11:08,820
+With a simple prism in
+
+125
+00:11:08,820 --> 00:11:12,380
+front of
+
+126
+00:11:12,380 --> 00:11:18,180
+the eye, what will happen to it? Before the prism
+
+127
+00:11:18,180 --> 00:11:22,040
+stops, it will remove the prism, the rays of the
+
+128
+00:11:22,040 --> 00:11:26,800
+object will fall directly on the fovea here
+
+129
+00:11:40,030 --> 00:11:49,670
+alphobia and here it falls it
+
+130
+00:11:49,670 --> 00:11:53,290
+falls from the object to nasal retina to nasal
+
+131
+00:11:53,290 --> 00:11:57,130
+retina because it has esophotopia esotropia okay
+
+132
+00:11:57,130 --> 00:12:03,020
+when I go and add the prism the prismit will move
+
+133
+00:12:03,020 --> 00:12:10,940
+the rays towards it's base instead of falling on
+
+134
+00:12:10,940 --> 00:12:16,160
+the nitrogen here it will move it towards the base
+
+135
+00:12:16,160 --> 00:12:19,360
+and bring it to the fovea it will bring it to the
+
+136
+00:12:19,360 --> 00:12:24,120
+fovea and it will become
+
+137
+00:12:24,120 --> 00:12:29,880
+as if with the help of this prismThe image was
+
+138
+00:12:29,880 --> 00:12:34,360
+dropped on points similar to the network of the
+
+139
+00:12:34,360 --> 00:12:36,620
+two eyes on the fovea and the fovea correspond to
+
+140
+00:12:36,620 --> 00:12:43,040
+the retinal points. As a result, the work of the
+
+141
+00:12:43,040 --> 00:12:45,240
+two eyes as a team is restored. The binocular
+
+142
+00:12:45,240 --> 00:12:47,100
+single video is restored. So with the help of this
+
+143
+00:12:47,100 --> 00:12:50,960
+prism, provided that it is light. Okay. This
+
+144
+00:12:50,960 --> 00:12:53,700
+person has a refractive error. I want to wear
+
+145
+00:12:53,700 --> 00:12:56,320
+glasses and wear a prism above the glasses in
+
+146
+00:12:56,320 --> 00:12:59,950
+front of one of the two eyes.It can happen to me
+
+147
+00:12:59,950 --> 00:13:04,270
+that I have a problem So instead of wearing
+
+148
+00:13:04,270 --> 00:13:06,110
+glasses and above the glasses in front of the
+
+149
+00:13:06,110 --> 00:13:08,490
+glasses there is a prism It means that I can do
+
+150
+00:13:08,490 --> 00:13:13,670
+decentration in the optical center Decentration in
+
+151
+00:13:13,670 --> 00:13:17,630
+order to get a base out of the prism Or
+
+152
+00:13:17,630 --> 00:13:20,510
+decentration in order to get a base in the prism
+
+153
+00:13:20,510 --> 00:13:25,250
+in the case of exotropia Or to get a base down the
+
+154
+00:13:25,250 --> 00:13:27,210
+prism in the case of hypertropia and so on
+
+155
+00:13:29,320 --> 00:13:34,660
+Leprismatic effect of lenses بأستخدمه عشان أحاول
+
+156
+00:13:34,660 --> 00:13:40,020
+أعدل طبعا مش جماليا وظيفيا واضح أنه جماليا أنه
+
+157
+00:13:40,020 --> 00:13:43,240
+العين لازالت فيها حوال لجوا بس وهي فيها حوال
+
+158
+00:13:43,240 --> 00:13:47,440
+بمساعدة لبرزم وكأنه لبرزم بعوض عن زاوية الحوال
+
+159
+00:13:47,440 --> 00:13:50,820
+ويسقط الصورة على ال corresponding ال fovea من ال
+
+160
+00:13:50,820 --> 00:13:52,080
+corresponding معها
+
+161
+00:13:54,420 --> 00:13:57,540
+The fovea in the left eye that corresponds to it
+
+162
+00:13:57,540 --> 00:14:00,220
+naturally is the fovea in the right eye With the
+
+163
+00:14:00,220 --> 00:14:05,240
+help of this prism, the pictures were dropped on
+
+164
+00:14:05,240 --> 00:14:11,480
+corresponding retinal areas So this gives me a
+
+165
+00:14:11,480 --> 00:14:16,840
+slight angle of rotation Now we come to talk about
+
+166
+00:14:16,840 --> 00:14:24,370
+another issue We say as usualIf I used the prism
+
+167
+00:14:24,370 --> 00:14:29,150
+or .. or I mean .. let's make it short because
+
+168
+00:14:29,150 --> 00:14:32,750
+this is a detail in the topic around it We say,
+
+169
+00:14:32,870 --> 00:14:35,110
+can I use it only in front of the eye around it?
+
+170
+00:14:35,150 --> 00:14:40,400
+No, I can use itأمام العين السليمة أو أمام العين
+
+171
+00:14:40,400 --> 00:14:43,220
+اللي فيها الحوال أو أقسم قوة ال prism مثلا بالزمني
+
+172
+00:14:43,220 --> 00:14:47,540
+ستة prism ضيوبة أقسمه تلاتة و تلاتة بس ضروري اتجاه
+
+173
+00:14:47,540 --> 00:14:52,300
+ال base يكون صحيح اتجاه ال base صحيح الحوال الأنسي
+
+174
+00:14:52,300 --> 00:14:57,050
+لما العين بتدخل لجوا بده base outBased out,
+
+175
+00:14:57,110 --> 00:14:59,510
+whether in front of two eyes or in front of both
+
+176
+00:14:59,510 --> 00:15:02,350
+eyes And the wild animal needs a base in, and so
+
+177
+00:15:02,350 --> 00:15:06,750
+on Now we want to take an example to see how this
+
+178
+00:15:06,750 --> 00:15:20,270
+case is explained Let's say an example Let's
+
+179
+00:15:20,270 --> 00:15:24,930
+say Child, eight years old
+
+180
+00:15:28,680 --> 00:15:38,920
+with left esotropia measuring
+
+181
+00:15:38,920 --> 00:15:44,960
+5
+
+182
+00:15:44,960 --> 00:15:50,380
+prism diopters his
+
+183
+00:15:50,380 --> 00:15:54,340
+refraction or
+
+184
+00:15:54,340 --> 00:15:57,080
+refractive error is
+
+185
+00:15:59,650 --> 00:16:03,670
+right eye plus
+
+186
+00:16:03,670 --> 00:16:14,050
+one diopter and left eye plus
+
+187
+00:16:14,050 --> 00:16:21,610
+five diopters what
+
+188
+00:16:21,610 --> 00:16:23,950
+amount
+
+189
+00:16:25,520 --> 00:16:35,580
+of spectacle of lens decentration and
+
+190
+00:16:35,580 --> 00:16:44,260
+in what direction should
+
+191
+00:16:44,260 --> 00:16:49,760
+what amount of lens decentration and in what
+
+192
+00:16:49,760 --> 00:16:57,350
+direction should this be doneيعني نيجي نقول
+
+193
+00:16:57,350 --> 00:17:04,510
+كالقاتل عشان
+
+194
+00:17:04,510 --> 00:17:06,110
+نحل، بناقول كالقاتل
+
+195
+00:17:39,230 --> 00:17:46,630
+I have Esotropia here Of
+
+196
+00:17:46,630 --> 00:17:53,490
+course,
+
+197
+00:17:54,030 --> 00:17:56,410
+in the beginning, we must draw these drawings to
+
+198
+00:17:56,410 --> 00:17:59,850
+help us After that, we will not have to draw these
+
+199
+00:17:59,850 --> 00:18:06,170
+drawings permanently This
+
+200
+00:18:06,170 --> 00:18:07,330
+is the right eye, straight
+
+201
+00:18:33,630 --> 00:18:38,230
+the right eye is straight while the left eye has
+
+202
+00:18:38,230 --> 00:18:40,610
+an iso inside or inside as it is clear this is the
+
+203
+00:18:40,610 --> 00:18:43,750
+right eye and this is the left eye okay the right
+
+204
+00:18:43,750 --> 00:18:52,370
+fovea and the left fovea the
+
+205
+00:18:52,370 --> 00:18:57,630
+right fovea is straight it is directly above the
+
+206
+00:18:57,630 --> 00:19:01,050
+target we will mark it with the X symbol or cross
+
+207
+00:19:01,050 --> 00:19:02,570
+and the fovea
+
+208
+00:19:11,630 --> 00:19:16,410
+اليسار جاية لبرا لإن العين جاية لجوه جاية لبرا لإن
+
+209
+00:19:16,410 --> 00:19:18,810
+العين جاية لجوه جاية لبرا لإن العين جاية لجوه جاية
+
+210
+00:19:18,810 --> 00:19:23,730
+لبرا
+
+211
+00:19:23,730 --> 00:19:27,150
+لإن العين جاية لجوه جاية لبرا لإن العين جاية لجوه
+
+212
+00:19:27,150 --> 00:19:27,150
+جاية لبرا لإن العين جاية لجوه جاية لبرا لإن العين
+
+213
+00:19:27,150 --> 00:19:27,210
+جاية لجوه جاية لبرا لإن العين جاية لجوه جاية لبرا
+
+214
+00:19:27,210 --> 00:19:27,370
+لإن العين جاية لبرا لإن العين جاية لبرا لإن العين
+
+215
+00:19:27,370 --> 00:19:30,950
+جاية لبرا لإن العين جاية لبرا لإن العين جاية لبرا
+
+216
+00:19:30,950 --> 00:19:34,480
+لإن العين جاية لبرا لإن العOf course, in order to
+
+217
+00:19:34,480 --> 00:19:39,400
+get it, we must put a prism, but I don't want to
+
+218
+00:19:39,400 --> 00:19:42,580
+put a prism, I want the same lens that is the plus
+
+219
+00:19:42,580 --> 00:19:45,700
+five diopter in front of the left eye, I want to
+
+220
+00:19:45,700 --> 00:19:49,840
+remove it in a way that gives me a prism that
+
+221
+00:19:49,840 --> 00:19:53,820
+treats esotropia, that treats parasitism, that
+
+222
+00:19:53,820 --> 00:19:56,120
+treats parasitism, first of all, I want to ask
+
+223
+00:19:56,120 --> 00:19:58,760
+myself a question before I start solving it, this
+
+224
+00:19:58,760 --> 00:20:00,620
+esotropia means that the eye is inside or inside,
+
+225
+00:20:00,820 --> 00:20:04,760
+of courseWhat is the prism that needs to be
+
+226
+00:20:04,760 --> 00:20:08,880
+treated? So that we can give a very simple
+
+227
+00:20:08,880 --> 00:20:12,600
+information If
+
+228
+00:20:12,600 --> 00:20:15,480
+we assume that the prism, the top of it, the top
+
+229
+00:20:15,480 --> 00:20:18,520
+of it, is like an arrow pointing towards the nose
+
+230
+00:20:18,520 --> 00:20:22,540
+And if we assume that this prism is an arrow, or
+
+231
+00:20:22,540 --> 00:20:25,540
+the top of an arrow, it's like pointing towards
+
+232
+00:20:25,540 --> 00:20:31,200
+the inside, towards the nose So, always and never
+
+233
+00:20:33,210 --> 00:20:38,270
+When I use leprosomes to fix a small quantity, on
+
+234
+00:20:38,270 --> 00:20:41,090
+duty of course, not for beauty. For beauty, the
+
+235
+00:20:41,090 --> 00:20:43,330
+eye will stay inside even if he is wearing a
+
+236
+00:20:43,330 --> 00:20:47,930
+leprosome. Okay, when I want to fix a simple
+
+237
+00:20:47,930 --> 00:20:51,070
+circle on duty, I see where the circle is
+
+238
+00:20:51,070 --> 00:20:53,810
+directed, I make the apex towards the direction of
+
+239
+00:20:53,810 --> 00:20:56,450
+the circle. Towards the direction of the circle.
+
+240
+00:20:56,550 --> 00:20:58,270
+Okay, this eye is directed inside, which means
+
+241
+00:20:58,270 --> 00:21:02,640
+towards the apex.No, inside, but we don't call the
+
+242
+00:21:02,640 --> 00:21:04,900
+prism by the name of the apex, we call it by the
+
+243
+00:21:04,900 --> 00:21:07,460
+name of the base, as long as the apex is inside,
+
+244
+00:21:07,660 --> 00:21:13,590
+the base is out, the base is out, so to get ..a
+
+245
+00:21:13,590 --> 00:21:15,450
+functional treatment for this small amount of
+
+246
+00:21:15,450 --> 00:21:19,490
+esotropia must be done without using a prism
+
+247
+00:21:19,490 --> 00:21:22,170
+without using a prism, it will emit a small amount
+
+248
+00:21:22,170 --> 00:21:23,410
+of radiation, depending on its strength of course,
+
+249
+00:21:23,490 --> 00:21:27,990
+a weak prism is required to cure esotropia which
+
+250
+00:21:27,990 --> 00:21:30,790
+is a small amount of radiation five diopters in a
+
+251
+00:21:30,790 --> 00:21:33,130
+prism this is considered a small amount of
+
+252
+00:21:33,130 --> 00:21:34,770
+radiation a small amount of radiation a person
+
+253
+00:21:34,770 --> 00:21:36,170
+might say, how is it a small amount of radiation?
+
+254
+00:21:36,310 --> 00:21:40,370
+but we need to go back very quickly to see the
+
+255
+00:21:40,370 --> 00:21:44,070
+number of prisms that we measure aroundببدأ من
+
+256
+00:21:44,070 --> 00:21:47,450
+وين؟ ببدأ من وين؟ و بنتهيأ وين؟
+
+257
+00:21:54,310 --> 00:21:56,990
+This is a group of prisms, this is the smallest
+
+258
+00:21:56,990 --> 00:22:00,530
+prism, 5 diopters, 5 diopters, and the largest one
+
+259
+00:22:00,530 --> 00:22:03,150
+is 60 prisms. Of course there are prisms that
+
+260
+00:22:03,150 --> 00:22:07,290
+start from one, but the 5, here the 5 does not
+
+261
+00:22:07,290 --> 00:22:10,790
+exist, the 4 exists and the 6 prism exists. The 5
+
+262
+00:22:10,790 --> 00:22:14,090
+is considered small compared to many prism forces
+
+263
+00:22:14,090 --> 00:22:18,010
+larger than it in the world of air measurement. So
+
+264
+00:22:18,010 --> 00:22:20,630
+5 diopters is a small amount that can be achieved
+
+265
+00:22:20,630 --> 00:22:26,630
+by decentration. Now I ask myself,Question, I
+
+266
+00:22:26,630 --> 00:22:29,290
+answered it, it was the first question The prism
+
+267
+00:22:29,290 --> 00:22:32,930
+that I want to use, where is its base? Where is
+
+268
+00:22:32,930 --> 00:22:38,110
+its base? The base is supposed to be outside The
+
+269
+00:22:38,110 --> 00:22:41,490
+base is supposed to be outside, okay So I want a
+
+270
+00:22:41,490 --> 00:22:45,450
+base out of prism Okay, where do I do the
+
+271
+00:22:45,450 --> 00:22:48,830
+decentration? Do I do it inside or outside? We say
+
+272
+00:22:48,830 --> 00:22:53,610
+as followsالعين الشمال بدها تلبس عدسة plus 5 ديوتر
+
+273
+00:22:53,610 --> 00:22:58,050
+العدسة ال plus 5 ديوتر مقطعها هيكون كالتالي بدنا
+
+274
+00:22:58,050 --> 00:23:02,730
+نشوف مقطعها هذا مقطع رأسي بالزمن في ال vertical
+
+275
+00:23:02,730 --> 00:23:07,310
+decentration هذا مقطع أفقي بالزمن في ال horizontal
+
+276
+00:23:07,310 --> 00:23:10,290
+decentration إيش يعني horizontal decentration يعني
+
+277
+00:23:10,290 --> 00:23:13,650
+بده أحصل على base out ولا base in base out ولا
+
+278
+00:23:13,650 --> 00:23:21,620
+base in نشوف كيف بدنا بدون تعبئة و بدناThe circle
+
+279
+00:23:21,620 --> 00:23:24,780
+should be special like this This is a yellow
+
+280
+00:23:24,780 --> 00:23:29,720
+circle We put this prism in front of the eye The
+
+281
+00:23:29,720 --> 00:23:31,460
+center is supposed to come to the top of the pupil
+
+282
+00:23:31,460 --> 00:23:37,080
+exactly But if I move the center out a little bit
+
+283
+00:23:37,080 --> 00:23:39,460
+The pupil will come to the top of the part of the
+
+284
+00:23:39,460 --> 00:23:46,060
+lens that works as a prism once againعادة العدسة
+
+285
+00:23:46,060 --> 00:23:51,240
+بتكون في النص العدسة مفروض انها تكون بالنص نفرض
+
+286
+00:23:51,240 --> 00:23:57,180
+هذه العدسة قوتها plus 5 ديوبتر قوتها plus 5 ديوبتر
+
+287
+00:23:57,180 --> 00:24:01,240
+وانا عشان .. عشان اعالج ..
+
+288
+00:24:04,000 --> 00:24:07,000
+The esotropia, I said I want a base or a prism
+
+289
+00:24:07,000 --> 00:24:09,460
+Okay, this is the center of the lens This is the
+
+290
+00:24:09,460 --> 00:24:12,260
+center where I'm holding the printed or holding
+
+291
+00:24:12,260 --> 00:24:14,120
+the lens, the horizontal piece This is my
+
+292
+00:24:14,120 --> 00:24:17,500
+horizontal piece in the lens In the plus lens,
+
+293
+00:24:17,980 --> 00:24:20,920
+which is plus five This is my horizontal piece in
+
+294
+00:24:20,920 --> 00:24:23,540
+it And this is my vertical piece, not necessarily
+
+295
+00:24:23,540 --> 00:24:28,200
+When I point the lens from the middle vertically
+
+296
+00:24:30,840 --> 00:24:34,680
+It will look like this. The red part in the middle
+
+297
+00:24:34,680 --> 00:24:37,640
+and the edges will be precise. When I cut the
+
+298
+00:24:37,640 --> 00:24:41,780
+horizontal lensHow does it mean that I cut
+
+299
+00:24:41,780 --> 00:24:44,720
+horizontally? It means that I cut like this. It
+
+300
+00:24:44,720 --> 00:24:46,620
+means that I take a rectangular piece with this
+
+301
+00:24:46,620 --> 00:24:49,800
+shape. Also, it should be the lowest point with
+
+302
+00:24:49,800 --> 00:24:53,320
+the middle point. Why did I take this view and not
+
+303
+00:24:53,320 --> 00:24:56,520
+the other view? Because I want horizontal
+
+304
+00:24:56,520 --> 00:25:00,900
+decentration to take a base out or base in. But in
+
+305
+00:25:00,900 --> 00:25:05,660
+this example, I want a base out prism. Okay. This
+
+306
+00:25:05,660 --> 00:25:10,940
+is a pieceand stop the lens, then I put the lens
+
+307
+00:25:10,940 --> 00:25:14,740
+exactly on top of the eye, okay? I say if I move
+
+308
+00:25:14,740 --> 00:25:16,940
+the center, this is the center, I hold the lens
+
+309
+00:25:16,940 --> 00:25:20,480
+from the optical center of it, if I move it
+
+310
+00:25:20,480 --> 00:25:25,220
+inside, I will have a Bayesian effect, the pupil
+
+311
+00:25:25,220 --> 00:25:30,120
+of the eye will be on top of the eye, part of the
+
+312
+00:25:30,120 --> 00:25:34,340
+lens works as a base or in, this is not required
+
+313
+00:25:35,030 --> 00:25:38,110
+هدا عكس المطلوب، الآن أنا لو زحت ال .. ال center
+
+314
+00:25:38,110 --> 00:25:42,270
+لبرا، هاي ال optical center صار لبرا، أصبحت العين
+
+315
+00:25:42,270 --> 00:25:46,570
+بتبص من خلال جزء .. جزء العدسة اللي ال base بتاعه
+
+316
+00:25:46,570 --> 00:25:49,910
+لوين، بيشتغل كمنشور ال base بتاعه وين، out إذا
+
+317
+00:25:49,910 --> 00:25:55,470
+ضروري ال decentration in what direction should be
+
+318
+00:25:55,470 --> 00:26:00,190
+this done? In out direction, out decentration أول
+
+319
+00:26:00,190 --> 00:26:06,590
+جواب، أول جزء من الإجابةthat I want .. this is
+
+320
+00:26:06,590 --> 00:26:12,430
+number one in the answer out-de-centration ..de
+
+321
+00:26:12,430 --> 00:26:16,090
+-centration So,
+
+322
+00:26:18,930 --> 00:26:23,450
+the first point in the answer is out-de-centration
+
+323
+00:26:23,450 --> 00:26:27,590
+Okay,
+
+324
+00:26:27,750 --> 00:26:31,090
+the second thing is how many? Millet, two millet,
+
+325
+00:26:31,090 --> 00:26:39,290
+three millet, we sayThe prismatic effect is
+
+326
+00:26:39,290 --> 00:26:47,610
+equal
+
+327
+00:26:47,610 --> 00:26:54,930
+to H in D H
+
+328
+00:26:54,930 --> 00:26:57,050
+is the distance under the light that I don't know
+
+329
+00:26:57,050 --> 00:27:03,350
+I want a prismatic effect of 5 prism dioptersH is
+
+330
+00:27:03,350 --> 00:27:12,470
+unknown in the diopter of the lens 5 5
+
+331
+00:27:12,470 --> 00:27:16,350
+diopters, the lens on the left has 5 diopters and
+
+332
+00:27:16,350 --> 00:27:23,090
+I need 5 prism diopters So H is equal to 5 by 5
+
+333
+00:27:23,090 --> 00:27:44,500
+which is equal to 1 centimeterThe lens
+
+334
+00:27:44,500 --> 00:27:57,440
+before the left eye should be decentred
+
+335
+00:28:01,200 --> 00:28:07,740
+outward لبرا by one centimeter مسافة one
+
+336
+00:28:07,740 --> 00:28:11,380
+centimeter هذه إجابة نموذجية و متكاملة ساعتها
+
+337
+00:28:11,380 --> 00:28:16,610
+الأشعة هناit will break the lens of the prism or
+
+338
+00:28:16,610 --> 00:28:19,470
+the lens that will work not only as a lens it will
+
+339
+00:28:19,470 --> 00:28:21,890
+work as a lens plus five diopters and at the same
+
+340
+00:28:21,890 --> 00:28:25,030
+time as a prism five prism diopters so it will
+
+341
+00:28:25,030 --> 00:28:27,210
+happen of course here I will not break the rays
+
+342
+00:28:27,210 --> 00:28:29,750
+that is to save time and the rays will be directed
+
+343
+00:28:29,750 --> 00:28:35,150
+that way and then break the lens or break the
+
+344
+00:28:35,150 --> 00:28:37,030
+prism towards the base so it will come to the
+
+345
+00:28:37,030 --> 00:28:40,210
+fovea so it became fovea with fovea corresponding
+
+346
+00:28:40,210 --> 00:28:44,650
+retinalpoints or on similar areas of the network,
+
+347
+00:28:45,090 --> 00:28:48,670
+so this is how the job was restored or those who
+
+348
+00:28:48,670 --> 00:28:53,810
+now work as a team We confirm again that the
+
+349
+00:28:53,810 --> 00:28:58,830
+decentration .. the decentration is not .. is not
+
+350
+00:28:58,830 --> 00:29:06,170
+to ..It means the aesthetic shape of the air. When
+
+351
+00:29:06,170 --> 00:29:09,070
+I do lens decentration, the air will remain
+
+352
+00:29:09,070 --> 00:29:12,470
+visible, but professionally, the two eyes will
+
+353
+00:29:12,470 --> 00:29:15,490
+return to their work as a team, and they will be
+
+354
+00:29:15,490 --> 00:29:19,110
+directed in space as if they are moderators,
+
+355
+00:29:19,530 --> 00:29:21,610
+aesthetically they don't look like moderators, but
+
+356
+00:29:21,610 --> 00:29:25,110
+as if they are moderators completely, as if they
+
+357
+00:29:25,110 --> 00:29:28,390
+are moderators completelySo this example will
+
+358
+00:29:28,390 --> 00:29:32,010
+follow examples in the 80s on the Moodle page
+
+359
+00:29:32,010 --> 00:29:35,570
+which is once for in and once for out, once for
+
+360
+00:29:35,570 --> 00:29:38,830
+vertical, once for up and once for down until it
+
+361
+00:29:38,830 --> 00:29:41,990
+is trained on it and once combined or compound
+
+362
+00:29:41,990 --> 00:29:45,750
+decentration out and up or out and down for the
+
+363
+00:29:45,750 --> 00:29:51,690
+center of the person Okay, now I'm the lens It
+
+364
+00:29:51,690 --> 00:29:54,830
+does not have decentration I went I want to work
+
+365
+00:29:54,830 --> 00:29:59,290
+in itdecentration, we finished the example that we
+
+366
+00:29:59,290 --> 00:30:06,750
+made, now I want to make a decentration in it this
+
+367
+00:30:06,750 --> 00:30:08,830
+is how I made the decentration, where is the
+
+368
+00:30:08,830 --> 00:30:11,910
+center? of course the eye should be in the middle
+
+369
+00:30:11,910 --> 00:30:14,950
+of the frame the person is looking and wearing his
+
+370
+00:30:14,950 --> 00:30:16,850
+glasses from the middle of the frame this is how
+
+371
+00:30:16,850 --> 00:30:22,320
+the center became decentered out and upFor example
+
+372
+00:30:22,320 --> 00:30:25,040
+out, for example eight millimeters, up four
+
+373
+00:30:25,040 --> 00:30:27,620
+millimeters, as much as we want, we do the
+
+374
+00:30:27,620 --> 00:30:34,010
+decentration Okay, now this glassesThe patient
+
+375
+00:30:34,010 --> 00:30:36,150
+came to me, he had decentration done to him, it
+
+376
+00:30:36,150 --> 00:30:37,890
+was the first time I saw the patient, the first
+
+377
+00:30:37,890 --> 00:30:41,330
+time, and he told me that my glasses work like
+
+378
+00:30:41,330 --> 00:30:45,430
+glasses and in the same way as a prism, look at
+
+379
+00:30:45,430 --> 00:30:50,110
+how strong the glasses are on the lensmeter, and
+
+380
+00:30:50,110 --> 00:30:55,030
+look at how strong the prism iswhich occurs in
+
+381
+00:30:55,030 --> 00:30:57,490
+this glasses or the prismatic effect of this
+
+382
+00:30:57,490 --> 00:31:00,450
+glasses as a result of removing the center of it
+
+383
+00:31:00,450 --> 00:31:03,750
+what do we do? of course we read the prismatic
+
+384
+00:31:03,750 --> 00:31:06,910
+force in the center of the frame in the center of
+
+385
+00:31:06,910 --> 00:31:10,170
+the frame exactly we read the prismatic force I
+
+386
+00:31:10,170 --> 00:31:12,810
+don't go and look for the optical center of the
+
+387
+00:31:12,810 --> 00:31:16,970
+lens, no I and the patient look straight ahead, I
+
+388
+00:31:16,970 --> 00:31:21,540
+get a markerجلم لباد او شيء من هذا القبيل جلم لباد
+
+389
+00:31:21,540 --> 00:31:21,580
+او شيء من هذا القبيل جلم لباد او شيء من هذا القبيل
+
+390
+00:31:21,580 --> 00:31:28,180
+جلم لباد او شيء من هذا القبيل جرم
+
+391
+00:31:28,180 --> 00:31:31,080
+لباد او شيء من هذا القبيل جرم لباد او شيء من هذا
+
+392
+00:31:31,080 --> 00:31:32,720
+القبيل جرم لباد او شيء من هذا القبيل جرم لباد او
+
+393
+00:31:32,720 --> 00:31:34,260
+شيء من هذا القبيل جرم لباد او شيء من هذا القبيل
+
+394
+00:31:34,260 --> 00:31:38,820
+جرم لباد او شيء من هذا القبيل جرم لباد او شيء من
+
+395
+00:31:38,820 --> 00:31:39,740
+هذا القبيل جرم لباد او شيء من هذا القبيل جرم لباد
+
+396
+00:31:39,740 --> 00:31:39,740
+او شيء من هذا القبيل جرم لباد او شيء من هذا القبيل
+
+397
+00:31:39,740 --> 00:31:41,490
+جرم لباد او شيء من هذا القبيل جرمIn the left lens
+
+398
+00:31:41,490 --> 00:31:44,570
+there is a Decentration And it is required of the
+
+399
+00:31:44,570 --> 00:31:47,230
+specialist to determine the value of the prism
+
+400
+00:31:47,230 --> 00:31:50,210
+resulting from the Decentration That makes the
+
+401
+00:31:50,210 --> 00:31:55,210
+patient look straight ahead Looking straight ahead
+
+402
+00:31:55,210 --> 00:31:58,650
+to a specific target And it teaches about the top
+
+403
+00:31:58,650 --> 00:32:01,610
+of the nose exactly That is, about the top of the
+
+404
+00:32:01,610 --> 00:32:04,310
+visual axis From the area that the pupil looks at
+
+405
+00:32:04,310 --> 00:32:07,470
+Here it will be achieved .. It will be achieved ..
+
+406
+00:32:07,470 --> 00:32:12,540
+Which is ..The power of the lens and also the
+
+407
+00:32:12,540 --> 00:32:14,780
+power of the prism, also the power of the prism
+
+408
+00:32:14,780 --> 00:32:21,160
+before of course when we bring the lens, we teach
+
+409
+00:32:21,160 --> 00:32:23,820
+it to the patient's eyes, then we bring it to the
+
+410
+00:32:23,820 --> 00:32:26,940
+lensmeter, which can measure the power of the lens
+
+411
+00:32:26,940 --> 00:32:29,520
+as a lens and the power of the prism in the point
+
+412
+00:32:29,520 --> 00:32:32,280
+that the person looks through it, not in the
+
+413
+00:32:32,280 --> 00:32:35,100
+optical center, because in the optical center, if
+
+414
+00:32:35,100 --> 00:32:41,140
+I put the glasses so thaton the lensmeter so that
+
+415
+00:32:41,140 --> 00:32:46,080
+the measurement of the lensmeter from the point of
+
+416
+00:32:46,080 --> 00:32:48,640
+the descent to the optical center will give me
+
+417
+00:32:48,640 --> 00:32:52,000
+zero prism there is no prismatic effect at this
+
+418
+00:32:52,000 --> 00:32:55,860
+point in another senseلو أنا جبت ال lens meter و
+
+419
+00:32:55,860 --> 00:32:56,760
+جيت أجيس هنا لو أنا جبت ال lens meter و جيت أجيس
+
+420
+00:32:56,760 --> 00:33:00,640
+هنا هيكون ال prismatic effect صفر ليش؟ لأنه هذا ال
+
+421
+00:33:00,640 --> 00:33:02,900
+optical center و معروف أنه ال optical center
+
+422
+00:33:02,900 --> 00:33:07,000
+العدسة في ال optical center بتاعها لاتستطيع أن
+
+423
+00:33:07,000 --> 00:33:11,700
+تشتغل كأو تعمل أو تقوم مقام أي prism كان لأنه
+
+424
+00:33:11,700 --> 00:33:16,220
+قوتها المنشورية هنا صفر قوتها المنشورية هنا صفر
+
+425
+00:33:16,220 --> 00:33:21,880
+قبنة توقف عند هذا النقطة و يعطيكم العافية و طبعا ه
+
+426
+00:33:21,880 --> 00:33:27,550
+..تم تنزيل عدد التمرين بالنسبة لـ Lens
+
+427
+00:33:27,550 --> 00:33:33,210
+Decentration في فقرة أو في خانة التمرين على صفحة
+
+428
+00:33:33,210 --> 00:33:35,950
+الموديل ويعطيكم العافية والسلام عليكم ورحمة الله
+
+429
+00:33:35,950 --> 00:33:37,130
+وبركاته
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/0Ca8cjsIysc_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/0Ca8cjsIysc_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..5a92db00ba3b7b1fec26c0c3e139e0683cf3f6f9
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/0Ca8cjsIysc_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 767, "start": 1.57, "end": 7.67, "text": "بسم الله الرحمن الرحيم فينا مسألة اليوم برضه على ال virtual object", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8978, 8315, 47524, 10721, 37977, 45595, 20498, 4724, 43042, 3224, 15844, 2423, 6374, 2657], "avg_logprob": -0.3030598896245162, "compression_ratio": 1.2, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 1.57, "end": 1.83, "word": "بسم", "probability": 0.50030517578125}, {"start": 1.83, "end": 1.99, "word": " الله", "probability": 0.91796875}, {"start": 1.99, "end": 2.25, "word": " الرحمن", "probability": 0.89599609375}, {"start": 2.25, "end": 2.81, "word": " الرحيم", "probability": 0.98681640625}, {"start": 2.81, "end": 5.21, "word": " فينا", "probability": 0.333984375}, {"start": 5.21, "end": 5.65, "word": " مسألة", "probability": 0.90380859375}, {"start": 5.65, "end": 5.95, "word": " اليوم", "probability": 0.986572265625}, {"start": 5.95, "end": 6.27, "word": " برضه", "probability": 0.8653971354166666}, {"start": 6.27, "end": 6.43, "word": " على", "probability": 0.51611328125}, {"start": 6.43, "end": 6.57, "word": " ال", "probability": 0.96630859375}, {"start": 6.57, "end": 6.91, "word": " virtual", "probability": 0.7373046875}, {"start": 6.91, "end": 7.67, "word": " object", "probability": 0.888671875}], "temperature": 1.0}, {"id": 2, "seek": 3221, "start": 8.79, "end": 32.21, "text": " And we have a body that is one meter away from the first lens. The force of the first lens is plus three diopters. The distance between the first and second lens is twenty-five centimeters. The force of the second lens is plus one diopters. The required distance between the final image is the total transphase magnification. The first rule is that we deal with each lens one by one.", "tokens": [400, 321, 362, 257, 1772, 300, 307, 472, 9255, 1314, 490, 264, 700, 6765, 13, 440, 3464, 295, 264, 700, 6765, 307, 1804, 1045, 1026, 404, 1559, 13, 440, 4560, 1296, 264, 700, 293, 1150, 6765, 307, 7699, 12, 18621, 23300, 13, 440, 3464, 295, 264, 1150, 6765, 307, 1804, 472, 1026, 404, 1559, 13, 440, 4739, 4560, 1296, 264, 2572, 3256, 307, 264, 3217, 1145, 43331, 4944, 3774, 13, 440, 700, 4978, 307, 300, 321, 2028, 365, 1184, 6765, 472, 538, 472, 13], "avg_logprob": -0.40147058823529413, "compression_ratio": 1.92, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 8.79, "end": 9.35, "word": " And", "probability": 0.0687255859375}, {"start": 9.35, "end": 9.91, "word": " we", "probability": 0.361083984375}, {"start": 9.91, "end": 9.93, "word": " have", "probability": 0.84716796875}, {"start": 9.93, "end": 10.93, "word": " a", "probability": 0.8193359375}, {"start": 10.93, "end": 10.93, "word": " body", "probability": 0.69580078125}, {"start": 10.93, "end": 11.87, "word": " that", "probability": 0.200927734375}, {"start": 11.87, "end": 11.89, "word": " is", "probability": 0.55419921875}, {"start": 11.89, "end": 12.35, "word": " one", "probability": 0.374755859375}, {"start": 12.35, "end": 14.67, "word": " meter", "probability": 0.84130859375}, {"start": 14.67, "end": 14.67, "word": " away", "probability": 0.70263671875}, {"start": 14.67, "end": 14.67, "word": " from", "probability": 0.8837890625}, {"start": 14.67, "end": 14.67, "word": " the", "probability": 0.8583984375}, {"start": 14.67, "end": 14.67, "word": " first", "probability": 0.66064453125}, {"start": 14.67, "end": 14.67, "word": " lens.", "probability": 0.71533203125}, {"start": 14.81, "end": 14.87, "word": " The", "probability": 0.80029296875}, {"start": 14.87, "end": 15.07, "word": " force", "probability": 0.36328125}, {"start": 15.07, "end": 15.21, "word": " of", "probability": 0.9345703125}, {"start": 15.21, "end": 15.27, "word": " the", "probability": 0.89990234375}, {"start": 15.27, "end": 15.75, "word": " first", "probability": 0.837890625}, {"start": 15.75, "end": 15.75, "word": " lens", "probability": 0.91162109375}, {"start": 15.75, "end": 15.85, "word": " is", "probability": 0.75732421875}, {"start": 15.85, "end": 16.03, "word": " plus", "probability": 0.61328125}, {"start": 16.03, "end": 16.37, "word": " three", "probability": 0.6689453125}, {"start": 16.37, "end": 16.95, "word": " diopters.", "probability": 0.73974609375}, {"start": 17.49, "end": 17.79, "word": " The", "probability": 0.85986328125}, {"start": 17.79, "end": 18.11, "word": " distance", "probability": 0.9072265625}, {"start": 18.11, "end": 18.37, "word": " between", "probability": 0.861328125}, {"start": 18.37, "end": 18.49, "word": " the", "probability": 0.86279296875}, {"start": 18.49, "end": 18.99, "word": " first", "probability": 0.78515625}, {"start": 18.99, "end": 19.17, "word": " and", "probability": 0.68994140625}, {"start": 19.17, "end": 19.47, "word": " second", "probability": 0.78271484375}, {"start": 19.47, "end": 19.47, "word": " lens", "probability": 0.489990234375}, {"start": 19.47, "end": 19.57, "word": " is", "probability": 0.91015625}, {"start": 19.57, "end": 20.09, "word": " twenty", "probability": 0.68798828125}, {"start": 20.09, "end": 20.27, "word": "-five", "probability": 0.807861328125}, {"start": 20.27, "end": 20.71, "word": " centimeters.", "probability": 0.84423828125}, {"start": 20.93, "end": 20.95, "word": " The", "probability": 0.8251953125}, {"start": 20.95, "end": 21.09, "word": " force", "probability": 0.77880859375}, {"start": 21.09, "end": 21.23, "word": " of", "probability": 0.96728515625}, {"start": 21.23, "end": 21.71, "word": " the", "probability": 0.9169921875}, {"start": 21.71, "end": 21.89, "word": " second", "probability": 0.88818359375}, {"start": 21.89, "end": 21.95, "word": " lens", "probability": 0.8818359375}, {"start": 21.95, "end": 22.77, "word": " is", "probability": 0.88134765625}, {"start": 22.77, "end": 23.13, "word": " plus", "probability": 0.88916015625}, {"start": 23.13, "end": 23.41, "word": " one", "probability": 0.9326171875}, {"start": 23.41, "end": 23.99, "word": " diopters.", "probability": 0.8857421875}, {"start": 24.13, "end": 24.15, "word": " The", "probability": 0.4150390625}, {"start": 24.15, "end": 24.37, "word": " required", "probability": 0.2139892578125}, {"start": 24.37, "end": 24.55, "word": " distance", "probability": 0.301513671875}, {"start": 24.55, "end": 24.67, "word": " between", "probability": 0.7041015625}, {"start": 24.67, "end": 24.83, "word": " the", "probability": 0.576171875}, {"start": 24.83, "end": 25.11, "word": " final", "probability": 0.65185546875}, {"start": 25.11, "end": 25.59, "word": " image", "probability": 0.9287109375}, {"start": 25.59, "end": 26.27, "word": " is", "probability": 0.6826171875}, {"start": 26.27, "end": 26.37, "word": " the", "probability": 0.452880859375}, {"start": 26.37, "end": 26.89, "word": " total", "probability": 0.76220703125}, {"start": 26.89, "end": 27.67, "word": " transphase", "probability": 0.580078125}, {"start": 27.67, "end": 28.45, "word": " magnification.", "probability": 0.968505859375}, {"start": 28.71, "end": 29.27, "word": " The", "probability": 0.65087890625}, {"start": 29.27, "end": 29.27, "word": " first", "probability": 0.6865234375}, {"start": 29.27, "end": 29.61, "word": " rule", "probability": 0.60693359375}, {"start": 29.61, "end": 30.11, "word": " is", "probability": 0.83935546875}, {"start": 30.11, "end": 30.11, "word": " that", "probability": 0.341796875}, {"start": 30.11, "end": 30.27, "word": " we", "probability": 0.7978515625}, {"start": 30.27, "end": 30.65, "word": " deal", "probability": 0.55517578125}, {"start": 30.65, "end": 30.89, "word": " with", "probability": 0.900390625}, {"start": 30.89, "end": 31.19, "word": " each", "probability": 0.814453125}, {"start": 31.19, "end": 31.61, "word": " lens", "probability": 0.70556640625}, {"start": 31.61, "end": 31.93, "word": " one", "probability": 0.181884765625}, {"start": 31.93, "end": 32.03, "word": " by", "probability": 0.779296875}, {"start": 32.03, "end": 32.21, "word": " one.", "probability": 0.92724609375}], "temperature": 1.0}, {"id": 3, "seek": 6048, "start": 35.32, "end": 60.48, "text": "We will separate the two lenses between the two lenses To make it possible to deal with each lens one by one And we will try to delete the second lens Temporarily as if", "tokens": [4360, 486, 4994, 264, 732, 18059, 1296, 264, 732, 18059, 1407, 652, 309, 1944, 281, 2028, 365, 1184, 6765, 472, 538, 472, 400, 321, 486, 853, 281, 12097, 264, 1150, 6765, 8095, 2816, 3289, 382, 498], "avg_logprob": -0.6296452896015065, "compression_ratio": 1.5, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 35.32, "end": 35.58, "word": "We", "probability": 0.310791015625}, {"start": 35.58, "end": 35.6, "word": " will", "probability": 0.47314453125}, {"start": 35.6, "end": 36.02, "word": " separate", "probability": 0.529296875}, {"start": 36.02, "end": 37.56, "word": " the", "probability": 0.148681640625}, {"start": 37.56, "end": 37.56, "word": " two", "probability": 0.53173828125}, {"start": 37.56, "end": 37.56, "word": " lenses", "probability": 0.76025390625}, {"start": 37.56, "end": 37.78, "word": " between", "probability": 0.2130126953125}, {"start": 37.78, "end": 37.96, "word": " the", "probability": 0.372802734375}, {"start": 37.96, "end": 38.58, "word": " two", "probability": 0.7724609375}, {"start": 38.58, "end": 41.18, "word": " lenses", "probability": 0.81103515625}, {"start": 41.18, "end": 42.22, "word": " To", "probability": 0.1861572265625}, {"start": 42.22, "end": 42.62, "word": " make", "probability": 0.24951171875}, {"start": 42.62, "end": 42.62, "word": " it", "probability": 0.6748046875}, {"start": 42.62, "end": 43.02, "word": " possible", "probability": 0.88330078125}, {"start": 43.02, "end": 44.68, "word": " to", "probability": 0.7470703125}, {"start": 44.68, "end": 45.94, "word": " deal", "probability": 0.5126953125}, {"start": 45.94, "end": 46.18, "word": " with", "probability": 0.90234375}, {"start": 46.18, "end": 46.46, "word": " each", "probability": 0.8681640625}, {"start": 46.46, "end": 46.82, "word": " lens", "probability": 0.75146484375}, {"start": 46.82, "end": 47.1, "word": " one", "probability": 0.1781005859375}, {"start": 47.1, "end": 47.1, "word": " by", "probability": 0.8115234375}, {"start": 47.1, "end": 47.44, "word": " one", "probability": 0.931640625}, {"start": 47.44, "end": 48.78, "word": " And", "probability": 0.62646484375}, {"start": 48.78, "end": 48.96, "word": " we", "probability": 0.84375}, {"start": 48.96, "end": 49.0, "word": " will", "probability": 0.33203125}, {"start": 49.0, "end": 49.34, "word": " try", "probability": 0.8798828125}, {"start": 49.34, "end": 49.8, "word": " to", "probability": 0.955078125}, {"start": 49.8, "end": 50.06, "word": " delete", "probability": 0.380126953125}, {"start": 50.06, "end": 51.48, "word": " the", "probability": 0.82763671875}, {"start": 51.48, "end": 52.22, "word": " second", "probability": 0.4453125}, {"start": 52.22, "end": 54.1, "word": " lens", "probability": 0.8564453125}, {"start": 54.1, "end": 59.82, "word": " Temporarily", "probability": 0.7418619791666666}, {"start": 59.82, "end": 60.08, "word": " as", "probability": 0.2342529296875}, {"start": 60.08, "end": 60.48, "word": " if", "probability": 0.673828125}], "temperature": 1.0}, {"id": 4, "seek": 9611, "start": 71.01, "end": 96.11, "text": "so that we can deal with each lens one by one here I have a list of examples we solve it and then we see how the situation is for us now I have a body with a distance of one meter, the lens plus three diopters so we have a lens", "tokens": [539, 300, 321, 393, 2028, 365, 1184, 6765, 472, 538, 472, 510, 286, 362, 257, 1329, 295, 5110, 321, 5039, 309, 293, 550, 321, 536, 577, 264, 2590, 307, 337, 505, 586, 286, 362, 257, 1772, 365, 257, 4560, 295, 472, 9255, 11, 264, 6765, 1804, 1045, 1026, 404, 1559, 370, 321, 362, 257, 6765], "avg_logprob": -0.6545758832778249, "compression_ratio": 1.5547945205479452, "no_speech_prob": 2.682209014892578e-06, "words": [{"start": 71.01, "end": 71.33, "word": "so", "probability": 0.1527099609375}, {"start": 71.33, "end": 71.51, "word": " that", "probability": 0.396240234375}, {"start": 71.51, "end": 71.65, "word": " we", "probability": 0.84521484375}, {"start": 71.65, "end": 71.85, "word": " can", "probability": 0.83544921875}, {"start": 71.85, "end": 72.27, "word": " deal", "probability": 0.380859375}, {"start": 72.27, "end": 72.63, "word": " with", "probability": 0.89599609375}, {"start": 72.63, "end": 72.99, "word": " each", "probability": 0.5712890625}, {"start": 72.99, "end": 73.45, "word": " lens", "probability": 0.56884765625}, {"start": 73.45, "end": 73.69, "word": " one", "probability": 0.2337646484375}, {"start": 73.69, "end": 73.79, "word": " by", "probability": 0.83203125}, {"start": 73.79, "end": 74.15, "word": " one", "probability": 0.93017578125}, {"start": 74.15, "end": 80.25, "word": " here", "probability": 0.25634765625}, {"start": 80.25, "end": 80.35, "word": " I", "probability": 0.5302734375}, {"start": 80.35, "end": 80.47, "word": " have", "probability": 0.91552734375}, {"start": 80.47, "end": 80.61, "word": " a", "probability": 0.76953125}, {"start": 80.61, "end": 81.15, "word": " list", "probability": 0.10302734375}, {"start": 81.15, "end": 81.47, "word": " of", "probability": 0.5927734375}, {"start": 81.47, "end": 81.75, "word": " examples", "probability": 0.287353515625}, {"start": 81.75, "end": 82.33, "word": " we", "probability": 0.11260986328125}, {"start": 82.33, "end": 83.33, "word": " solve", "probability": 0.44580078125}, {"start": 83.33, "end": 83.47, "word": " it", "probability": 0.42626953125}, {"start": 83.47, "end": 83.59, "word": " and", "probability": 0.6953125}, {"start": 83.59, "end": 83.81, "word": " then", "probability": 0.42529296875}, {"start": 83.81, "end": 83.99, "word": " we", "probability": 0.41650390625}, {"start": 83.99, "end": 84.23, "word": " see", "probability": 0.51611328125}, {"start": 84.23, "end": 84.51, "word": " how", "probability": 0.669921875}, {"start": 84.51, "end": 84.65, "word": " the", "probability": 0.29931640625}, {"start": 84.65, "end": 84.85, "word": " situation", "probability": 0.658203125}, {"start": 84.85, "end": 85.29, "word": " is", "probability": 0.5361328125}, {"start": 85.29, "end": 85.33, "word": " for", "probability": 0.348876953125}, {"start": 85.33, "end": 86.07, "word": " us", "probability": 0.2861328125}, {"start": 86.07, "end": 88.53, "word": " now", "probability": 0.74365234375}, {"start": 88.53, "end": 89.13, "word": " I", "probability": 0.875}, {"start": 89.13, "end": 89.21, "word": " have", "probability": 0.94287109375}, {"start": 89.21, "end": 89.55, "word": " a", "probability": 0.947265625}, {"start": 89.55, "end": 89.73, "word": " body", "probability": 0.54443359375}, {"start": 89.73, "end": 89.95, "word": " with", "probability": 0.34521484375}, {"start": 89.95, "end": 90.21, "word": " a", "probability": 0.91943359375}, {"start": 90.21, "end": 90.21, "word": " distance", "probability": 0.371826171875}, {"start": 90.21, "end": 90.31, "word": " of", "probability": 0.9013671875}, {"start": 90.31, "end": 90.41, "word": " one", "probability": 0.55322265625}, {"start": 90.41, "end": 90.63, "word": " meter,", "probability": 0.9541015625}, {"start": 90.83, "end": 90.89, "word": " the", "probability": 0.5966796875}, {"start": 90.89, "end": 91.17, "word": " lens", "probability": 0.8134765625}, {"start": 91.17, "end": 91.53, "word": " plus", "probability": 0.41162109375}, {"start": 91.53, "end": 92.19, "word": " three", "probability": 0.79638671875}, {"start": 92.19, "end": 92.97, "word": " diopters", "probability": 0.6307373046875}, {"start": 92.97, "end": 95.51, "word": " so", "probability": 0.421630859375}, {"start": 95.51, "end": 95.71, "word": " we", "probability": 0.638671875}, {"start": 95.71, "end": 95.75, "word": " have", "probability": 0.92578125}, {"start": 95.75, "end": 95.87, "word": " a", "probability": 0.71923828125}, {"start": 95.87, "end": 96.11, "word": " lens", "probability": 0.8525390625}], "temperature": 1.0}, {"id": 5, "seek": 12683, "start": 97.87, "end": 126.83, "text": "sorry, a body 1 meter away from the lens, let's see the first picture U is equal to negative N divided by O and it is equal to negative, of course, because the rays are divergent from the real body negative 1 divided by O is equal to 1 meter and it is equal to negative 1 diopter", "tokens": [47545, 11, 257, 1772, 502, 9255, 1314, 490, 264, 6765, 11, 718, 311, 536, 264, 700, 3036, 624, 307, 2681, 281, 3671, 426, 6666, 538, 422, 293, 309, 307, 2681, 281, 3671, 11, 295, 1164, 11, 570, 264, 24417, 366, 18558, 6930, 490, 264, 957, 1772, 3671, 502, 6666, 538, 422, 307, 2681, 281, 502, 9255, 293, 309, 307, 2681, 281, 3671, 502, 1026, 404, 391], "avg_logprob": -0.54244402629226, "compression_ratio": 1.8235294117647058, "no_speech_prob": 2.372264862060547e-05, "words": [{"start": 97.87, "end": 98.29, "word": "sorry,", "probability": 0.07940673828125}, {"start": 98.39, "end": 98.49, "word": " a", "probability": 0.347900390625}, {"start": 98.49, "end": 98.63, "word": " body", "probability": 0.459228515625}, {"start": 98.63, "end": 99.63, "word": " 1", "probability": 0.407958984375}, {"start": 99.63, "end": 100.03, "word": " meter", "probability": 0.6611328125}, {"start": 100.03, "end": 100.03, "word": " away", "probability": 0.457763671875}, {"start": 100.03, "end": 100.13, "word": " from", "probability": 0.87255859375}, {"start": 100.13, "end": 100.21, "word": " the", "probability": 0.63916015625}, {"start": 100.21, "end": 100.37, "word": " lens,", "probability": 0.467529296875}, {"start": 100.37, "end": 100.53, "word": " let's", "probability": 0.70361328125}, {"start": 100.53, "end": 100.73, "word": " see", "probability": 0.564453125}, {"start": 100.73, "end": 100.91, "word": " the", "probability": 0.73681640625}, {"start": 100.91, "end": 100.93, "word": " first", "probability": 0.73388671875}, {"start": 100.93, "end": 101.13, "word": " picture", "probability": 0.46826171875}, {"start": 101.13, "end": 110.13, "word": " U", "probability": 0.10858154296875}, {"start": 110.13, "end": 111.61, "word": " is", "probability": 0.304443359375}, {"start": 111.61, "end": 111.85, "word": " equal", "probability": 0.42431640625}, {"start": 111.85, "end": 111.91, "word": " to", "probability": 0.85546875}, {"start": 111.91, "end": 112.17, "word": " negative", "probability": 0.50439453125}, {"start": 112.17, "end": 112.49, "word": " N", "probability": 0.63623046875}, {"start": 112.49, "end": 112.67, "word": " divided", "probability": 0.23974609375}, {"start": 112.67, "end": 112.73, "word": " by", "probability": 0.84423828125}, {"start": 112.73, "end": 113.01, "word": " O", "probability": 0.98046875}, {"start": 113.01, "end": 116.31, "word": " and", "probability": 0.2412109375}, {"start": 116.31, "end": 116.45, "word": " it", "probability": 0.44921875}, {"start": 116.45, "end": 116.49, "word": " is", "probability": 0.525390625}, {"start": 116.49, "end": 116.73, "word": " equal", "probability": 0.578125}, {"start": 116.73, "end": 116.77, "word": " to", "probability": 0.890625}, {"start": 116.77, "end": 117.01, "word": " negative,", "probability": 0.85546875}, {"start": 117.17, "end": 117.35, "word": " of", "probability": 0.63671875}, {"start": 117.35, "end": 117.35, "word": " course,", "probability": 0.95361328125}, {"start": 117.49, "end": 118.03, "word": " because", "probability": 0.845703125}, {"start": 118.03, "end": 118.71, "word": " the", "probability": 0.60400390625}, {"start": 118.71, "end": 118.97, "word": " rays", "probability": 0.64892578125}, {"start": 118.97, "end": 119.11, "word": " are", "probability": 0.48193359375}, {"start": 119.11, "end": 119.65, "word": " divergent", "probability": 0.8955078125}, {"start": 119.65, "end": 119.83, "word": " from", "probability": 0.84033203125}, {"start": 119.83, "end": 119.97, "word": " the", "probability": 0.896484375}, {"start": 119.97, "end": 120.49, "word": " real", "probability": 0.66455078125}, {"start": 120.49, "end": 120.77, "word": " body", "probability": 0.828125}, {"start": 120.77, "end": 121.67, "word": " negative", "probability": 0.47412109375}, {"start": 121.67, "end": 122.07, "word": " 1", "probability": 0.73486328125}, {"start": 122.07, "end": 122.33, "word": " divided", "probability": 0.5771484375}, {"start": 122.33, "end": 122.41, "word": " by", "probability": 0.9716796875}, {"start": 122.41, "end": 122.67, "word": " O", "probability": 0.974609375}, {"start": 122.67, "end": 122.99, "word": " is", "probability": 0.318115234375}, {"start": 122.99, "end": 123.21, "word": " equal", "probability": 0.5927734375}, {"start": 123.21, "end": 123.21, "word": " to", "probability": 0.9658203125}, {"start": 123.21, "end": 123.23, "word": " 1", "probability": 0.65283203125}, {"start": 123.23, "end": 123.59, "word": " meter", "probability": 0.8876953125}, {"start": 123.59, "end": 124.79, "word": " and", "probability": 0.61767578125}, {"start": 124.79, "end": 124.87, "word": " it", "probability": 0.3046875}, {"start": 124.87, "end": 124.99, "word": " is", "probability": 0.88525390625}, {"start": 124.99, "end": 125.17, "word": " equal", "probability": 0.896484375}, {"start": 125.17, "end": 125.25, "word": " to", "probability": 0.970703125}, {"start": 125.25, "end": 125.55, "word": " negative", "probability": 0.91015625}, {"start": 125.55, "end": 126.21, "word": " 1", "probability": 0.90185546875}, {"start": 126.21, "end": 126.83, "word": " diopter", "probability": 0.613037109375}], "temperature": 1.0}, {"id": 6, "seek": 14113, "start": 127.39, "end": 141.13, "text": "minus one diopter, quickly I go and put on the front of the lens minus one diopter because the rays will reach the body with a fluctuation of one diopter", "tokens": [2367, 301, 472, 1026, 404, 391, 11, 2661, 286, 352, 293, 829, 322, 264, 1868, 295, 264, 6765, 3175, 472, 1026, 404, 391, 570, 264, 24417, 486, 2524, 264, 1772, 365, 257, 23448, 16073, 295, 472, 1026, 404, 391], "avg_logprob": -0.5460937410593033, "compression_ratio": 1.4433962264150944, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 127.39, "end": 127.87, "word": "minus", "probability": 0.5155487060546875}, {"start": 127.87, "end": 128.29, "word": " one", "probability": 0.4599609375}, {"start": 128.29, "end": 128.95, "word": " diopter,", "probability": 0.8460286458333334}, {"start": 129.37, "end": 129.97, "word": " quickly", "probability": 0.143310546875}, {"start": 129.97, "end": 130.37, "word": " I", "probability": 0.75927734375}, {"start": 130.37, "end": 130.47, "word": " go", "probability": 0.31494140625}, {"start": 130.47, "end": 131.15, "word": " and", "probability": 0.49365234375}, {"start": 131.15, "end": 132.49, "word": " put", "probability": 0.52685546875}, {"start": 132.49, "end": 132.61, "word": " on", "probability": 0.27490234375}, {"start": 132.61, "end": 132.73, "word": " the", "probability": 0.88427734375}, {"start": 132.73, "end": 133.31, "word": " front", "probability": 0.478271484375}, {"start": 133.31, "end": 133.47, "word": " of", "probability": 0.420166015625}, {"start": 133.47, "end": 133.67, "word": " the", "probability": 0.8544921875}, {"start": 133.67, "end": 134.01, "word": " lens", "probability": 0.5888671875}, {"start": 134.01, "end": 134.99, "word": " minus", "probability": 0.7373046875}, {"start": 134.99, "end": 135.47, "word": " one", "probability": 0.9140625}, {"start": 135.47, "end": 136.09, "word": " diopter", "probability": 0.9523111979166666}, {"start": 136.09, "end": 136.95, "word": " because", "probability": 0.64306640625}, {"start": 136.95, "end": 137.51, "word": " the", "probability": 0.82568359375}, {"start": 137.51, "end": 137.91, "word": " rays", "probability": 0.712890625}, {"start": 137.91, "end": 138.21, "word": " will", "probability": 0.73046875}, {"start": 138.21, "end": 138.47, "word": " reach", "probability": 0.5810546875}, {"start": 138.47, "end": 138.73, "word": " the", "probability": 0.5673828125}, {"start": 138.73, "end": 139.03, "word": " body", "probability": 0.85009765625}, {"start": 139.03, "end": 139.21, "word": " with", "probability": 0.5185546875}, {"start": 139.21, "end": 139.35, "word": " a", "probability": 0.6513671875}, {"start": 139.35, "end": 139.65, "word": " fluctuation", "probability": 0.52740478515625}, {"start": 139.65, "end": 140.15, "word": " of", "probability": 0.8544921875}, {"start": 140.15, "end": 140.25, "word": " one", "probability": 0.8828125}, {"start": 140.25, "end": 141.13, "word": " diopter", "probability": 0.9420572916666666}], "temperature": 1.0}, {"id": 7, "seek": 17114, "start": 141.66, "end": 171.14, "text": "The lens will emit 1 diopter to cancel the oscillation Let's see what will happen to the oscillation after it leaves the lens u plus power equals v u minus one diopter power three diopters equals v then v equals plus two diopters", "tokens": [2278, 40116, 82, 486, 32084, 502, 1026, 404, 391, 281, 10373, 264, 18225, 399, 961, 311, 536, 437, 486, 1051, 281, 264, 18225, 399, 934, 309, 5510, 264, 6765, 344, 1804, 1347, 6915, 371, 344, 3175, 472, 1026, 404, 391, 1347, 1045, 1026, 404, 1559, 6915, 371, 550, 371, 6915, 1804, 732, 1026, 404, 1559], "avg_logprob": -0.5471540082778249, "compression_ratio": 1.6962962962962962, "no_speech_prob": 1.0132789611816406e-05, "words": [{"start": 141.66, "end": 141.94, "word": "The", "probability": 0.361572265625}, {"start": 141.94, "end": 142.26, "word": " lens", "probability": 0.465484619140625}, {"start": 142.26, "end": 142.5, "word": " will", "probability": 0.69970703125}, {"start": 142.5, "end": 142.9, "word": " emit", "probability": 0.39599609375}, {"start": 142.9, "end": 144.66, "word": " 1", "probability": 0.36083984375}, {"start": 144.66, "end": 146.02, "word": " diopter", "probability": 0.8572591145833334}, {"start": 146.02, "end": 146.22, "word": " to", "probability": 0.456787109375}, {"start": 146.22, "end": 146.68, "word": " cancel", "probability": 0.53564453125}, {"start": 146.68, "end": 147.26, "word": " the", "probability": 0.37451171875}, {"start": 147.26, "end": 147.72, "word": " oscillation", "probability": 0.6165771484375}, {"start": 147.72, "end": 147.96, "word": " Let's", "probability": 0.4727783203125}, {"start": 147.96, "end": 148.16, "word": " see", "probability": 0.6455078125}, {"start": 148.16, "end": 148.48, "word": " what", "probability": 0.705078125}, {"start": 148.48, "end": 148.64, "word": " will", "probability": 0.340576171875}, {"start": 148.64, "end": 148.92, "word": " happen", "probability": 0.376953125}, {"start": 148.92, "end": 149.1, "word": " to", "probability": 0.383544921875}, {"start": 149.1, "end": 150.1, "word": " the", "probability": 0.428955078125}, {"start": 150.1, "end": 151.08, "word": " oscillation", "probability": 0.5721435546875}, {"start": 151.08, "end": 151.62, "word": " after", "probability": 0.43798828125}, {"start": 151.62, "end": 152.74, "word": " it", "probability": 0.37060546875}, {"start": 152.74, "end": 153.16, "word": " leaves", "probability": 0.349365234375}, {"start": 153.16, "end": 153.6, "word": " the", "probability": 0.888671875}, {"start": 153.6, "end": 153.88, "word": " lens", "probability": 0.7958984375}, {"start": 153.88, "end": 154.3, "word": " u", "probability": 0.266845703125}, {"start": 154.3, "end": 154.68, "word": " plus", "probability": 0.232177734375}, {"start": 154.68, "end": 155.24, "word": " power", "probability": 0.6396484375}, {"start": 155.24, "end": 155.84, "word": " equals", "probability": 0.7353515625}, {"start": 155.84, "end": 157.1, "word": " v", "probability": 0.826171875}, {"start": 157.1, "end": 158.72, "word": " u", "probability": 0.73095703125}, {"start": 158.72, "end": 159.42, "word": " minus", "probability": 0.9765625}, {"start": 159.42, "end": 159.74, "word": " one", "probability": 0.382080078125}, {"start": 159.74, "end": 160.3, "word": " diopter", "probability": 0.9363606770833334}, {"start": 160.3, "end": 162.4, "word": " power", "probability": 0.56591796875}, {"start": 162.4, "end": 163.92, "word": " three", "probability": 0.642578125}, {"start": 163.92, "end": 164.58, "word": " diopters", "probability": 0.8338216145833334}, {"start": 164.58, "end": 165.68, "word": " equals", "probability": 0.845703125}, {"start": 165.68, "end": 166.14, "word": " v", "probability": 0.919921875}, {"start": 166.14, "end": 167.46, "word": " then", "probability": 0.31591796875}, {"start": 167.46, "end": 167.8, "word": " v", "probability": 0.91845703125}, {"start": 167.8, "end": 169.36, "word": " equals", "probability": 0.708984375}, {"start": 169.36, "end": 170.1, "word": " plus", "probability": 0.759765625}, {"start": 170.1, "end": 170.62, "word": " two", "probability": 0.80810546875}, {"start": 170.62, "end": 171.14, "word": " diopters", "probability": 0.9464518229166666}], "temperature": 1.0}, {"id": 8, "seek": 20020, "start": 171.82, "end": 200.2, "text": "plus 2 diopter means that the rays that will come out of the lens will be positive virgins or collected in the amount of 2 diopter so it will form a real image somewhere in the space to know where it is we have to get the I we continue here we say V is equal to unconditional over I", "tokens": [18954, 568, 1026, 404, 391, 1355, 300, 264, 24417, 300, 486, 808, 484, 295, 264, 6765, 486, 312, 3353, 4107, 23320, 420, 1263, 39963, 294, 264, 2372, 295, 568, 1026, 404, 391, 370, 309, 486, 1254, 257, 957, 3256, 4079, 294, 264, 1901, 281, 458, 689, 309, 307, 321, 362, 281, 483, 264, 286, 321, 2354, 510, 321, 584, 691, 307, 2681, 281, 47916, 670, 286], "avg_logprob": -0.6110074377771634, "compression_ratio": 1.6206896551724137, "no_speech_prob": 2.09808349609375e-05, "words": [{"start": 171.82, "end": 172.2, "word": "plus", "probability": 0.278564453125}, {"start": 172.2, "end": 172.5, "word": " 2", "probability": 0.5634765625}, {"start": 172.5, "end": 172.96, "word": " diopter", "probability": 0.684326171875}, {"start": 172.96, "end": 173.18, "word": " means", "probability": 0.285400390625}, {"start": 173.18, "end": 173.3, "word": " that", "probability": 0.428955078125}, {"start": 173.3, "end": 173.4, "word": " the", "probability": 0.65771484375}, {"start": 173.4, "end": 173.7, "word": " rays", "probability": 0.62451171875}, {"start": 173.7, "end": 175.28, "word": " that", "probability": 0.2353515625}, {"start": 175.28, "end": 175.46, "word": " will", "probability": 0.36376953125}, {"start": 175.46, "end": 175.68, "word": " come", "probability": 0.458740234375}, {"start": 175.68, "end": 175.76, "word": " out", "probability": 0.81396484375}, {"start": 175.76, "end": 175.9, "word": " of", "probability": 0.68896484375}, {"start": 175.9, "end": 176.0, "word": " the", "probability": 0.833984375}, {"start": 176.0, "end": 176.24, "word": " lens", "probability": 0.67529296875}, {"start": 176.24, "end": 176.46, "word": " will", "probability": 0.720703125}, {"start": 176.46, "end": 176.82, "word": " be", "probability": 0.75439453125}, {"start": 176.82, "end": 177.24, "word": " positive", "probability": 0.81689453125}, {"start": 177.24, "end": 177.92, "word": " virgins", "probability": 0.4990234375}, {"start": 177.92, "end": 178.3, "word": " or", "probability": 0.5087890625}, {"start": 178.3, "end": 179.82, "word": " collected", "probability": 0.495025634765625}, {"start": 179.82, "end": 180.64, "word": " in", "probability": 0.406005859375}, {"start": 180.64, "end": 180.76, "word": " the", "probability": 0.275390625}, {"start": 180.76, "end": 181.0, "word": " amount", "probability": 0.51123046875}, {"start": 181.0, "end": 181.26, "word": " of", "probability": 0.86328125}, {"start": 181.26, "end": 181.54, "word": " 2", "probability": 0.888671875}, {"start": 181.54, "end": 182.28, "word": " diopter", "probability": 0.8274739583333334}, {"start": 182.28, "end": 183.46, "word": " so", "probability": 0.382568359375}, {"start": 183.46, "end": 183.72, "word": " it", "probability": 0.6865234375}, {"start": 183.72, "end": 183.76, "word": " will", "probability": 0.798828125}, {"start": 183.76, "end": 184.06, "word": " form", "probability": 0.37646484375}, {"start": 184.06, "end": 184.3, "word": " a", "probability": 0.89208984375}, {"start": 184.3, "end": 184.94, "word": " real", "probability": 0.83447265625}, {"start": 184.94, "end": 185.22, "word": " image", "probability": 0.430419921875}, {"start": 185.22, "end": 186.44, "word": " somewhere", "probability": 0.1962890625}, {"start": 186.44, "end": 187.52, "word": " in", "probability": 0.53369140625}, {"start": 187.52, "end": 187.74, "word": " the", "probability": 0.6796875}, {"start": 187.74, "end": 188.1, "word": " space", "probability": 0.3916015625}, {"start": 188.1, "end": 188.32, "word": " to", "probability": 0.4951171875}, {"start": 188.32, "end": 188.68, "word": " know", "probability": 0.68310546875}, {"start": 188.68, "end": 188.96, "word": " where", "probability": 0.5244140625}, {"start": 188.96, "end": 189.26, "word": " it", "probability": 0.327392578125}, {"start": 189.26, "end": 189.48, "word": " is", "probability": 0.90234375}, {"start": 189.48, "end": 190.5, "word": " we", "probability": 0.6015625}, {"start": 190.5, "end": 190.68, "word": " have", "probability": 0.29541015625}, {"start": 190.68, "end": 190.82, "word": " to", "probability": 0.96728515625}, {"start": 190.82, "end": 191.06, "word": " get", "probability": 0.48486328125}, {"start": 191.06, "end": 191.22, "word": " the", "probability": 0.67333984375}, {"start": 191.22, "end": 191.4, "word": " I", "probability": 0.5498046875}, {"start": 191.4, "end": 192.58, "word": " we", "probability": 0.4462890625}, {"start": 192.58, "end": 192.94, "word": " continue", "probability": 0.3525390625}, {"start": 192.94, "end": 193.46, "word": " here", "probability": 0.796875}, {"start": 193.46, "end": 194.84, "word": " we", "probability": 0.62744140625}, {"start": 194.84, "end": 195.04, "word": " say", "probability": 0.830078125}, {"start": 195.04, "end": 195.38, "word": " V", "probability": 0.78466796875}, {"start": 195.38, "end": 197.42, "word": " is", "probability": 0.314453125}, {"start": 197.42, "end": 197.82, "word": " equal", "probability": 0.8828125}, {"start": 197.82, "end": 199.04, "word": " to", "probability": 0.73095703125}, {"start": 199.04, "end": 199.46, "word": " unconditional", "probability": 0.16162109375}, {"start": 199.46, "end": 199.86, "word": " over", "probability": 0.263916015625}, {"start": 199.86, "end": 200.2, "word": " I", "probability": 0.98828125}], "temperature": 1.0}, {"id": 9, "seek": 22998, "start": 203.92, "end": 229.98, "text": "So I is equal to V divided by 1 divided by V which is plus 2 diopter which is equal to plus half and the diopter is one meter minus one which is one meter", "tokens": [6455, 286, 307, 2681, 281, 691, 6666, 538, 502, 6666, 538, 691, 597, 307, 1804, 568, 1026, 404, 391, 597, 307, 2681, 281, 1804, 1922, 293, 264, 1026, 404, 391, 307, 472, 9255, 3175, 472, 597, 307, 472, 9255], "avg_logprob": -0.6140625178813934, "compression_ratio": 1.6041666666666667, "no_speech_prob": 2.187490463256836e-05, "words": [{"start": 203.92, "end": 205.0, "word": "So", "probability": 0.1395263671875}, {"start": 205.0, "end": 205.54, "word": " I", "probability": 0.61279296875}, {"start": 205.54, "end": 206.6, "word": " is", "probability": 0.43701171875}, {"start": 206.6, "end": 207.52, "word": " equal", "probability": 0.70556640625}, {"start": 207.52, "end": 208.76, "word": " to", "probability": 0.90478515625}, {"start": 208.76, "end": 209.2, "word": " V", "probability": 0.134033203125}, {"start": 209.2, "end": 209.2, "word": " divided", "probability": 0.226806640625}, {"start": 209.2, "end": 209.94, "word": " by", "probability": 0.96875}, {"start": 209.94, "end": 214.1, "word": " 1", "probability": 0.295166015625}, {"start": 214.1, "end": 214.4, "word": " divided", "probability": 0.1434326171875}, {"start": 214.4, "end": 215.68, "word": " by", "probability": 0.9638671875}, {"start": 215.68, "end": 216.52, "word": " V", "probability": 0.7607421875}, {"start": 216.52, "end": 216.78, "word": " which", "probability": 0.5263671875}, {"start": 216.78, "end": 217.0, "word": " is", "probability": 0.890625}, {"start": 217.0, "end": 217.32, "word": " plus", "probability": 0.82568359375}, {"start": 217.32, "end": 217.7, "word": " 2", "probability": 0.6171875}, {"start": 217.7, "end": 218.3, "word": " diopter", "probability": 0.6879069010416666}, {"start": 218.3, "end": 220.18, "word": " which", "probability": 0.37158203125}, {"start": 220.18, "end": 220.38, "word": " is", "probability": 0.79833984375}, {"start": 220.38, "end": 220.68, "word": " equal", "probability": 0.30078125}, {"start": 220.68, "end": 221.84, "word": " to", "probability": 0.962890625}, {"start": 221.84, "end": 222.5, "word": " plus", "probability": 0.8427734375}, {"start": 222.5, "end": 224.12, "word": " half", "probability": 0.78271484375}, {"start": 224.12, "end": 226.06, "word": " and", "probability": 0.423828125}, {"start": 226.06, "end": 226.16, "word": " the", "probability": 0.465087890625}, {"start": 226.16, "end": 226.5, "word": " diopter", "probability": 0.9000651041666666}, {"start": 226.5, "end": 226.6, "word": " is", "probability": 0.7041015625}, {"start": 226.6, "end": 226.68, "word": " one", "probability": 0.222412109375}, {"start": 226.68, "end": 226.82, "word": " meter", "probability": 0.69775390625}, {"start": 226.82, "end": 226.94, "word": " minus", "probability": 0.40771484375}, {"start": 226.94, "end": 227.5, "word": " one", "probability": 0.6689453125}, {"start": 227.5, "end": 227.76, "word": " which", "probability": 0.59814453125}, {"start": 227.76, "end": 228.06, "word": " is", "probability": 0.333251953125}, {"start": 228.06, "end": 229.04, "word": " one", "probability": 0.51123046875}, {"start": 229.04, "end": 229.98, "word": " meter", "probability": 0.91552734375}], "temperature": 1.0}, {"id": 10, "seek": 26427, "start": 236.16, "end": 264.28, "text": "plus half a meter, plus half a meter, it is necessary to calculate the distances correctly now I want to move away a little bit and say here about 25 centimeters which is a quarter of a meter, here also 25 centimeters, which means that the picture will be formed in this place in this place, we will go and draw this picture in the place that we pointed out to him and we will draw it a little bit because after a while we will say why", "tokens": [18954, 1922, 257, 9255, 11, 1804, 1922, 257, 9255, 11, 309, 307, 4818, 281, 8873, 264, 22182, 8944, 586, 286, 528, 281, 1286, 1314, 257, 707, 857, 293, 584, 510, 466, 3552, 23300, 597, 307, 257, 6555, 295, 257, 9255, 11, 510, 611, 3552, 23300, 11, 597, 1355, 300, 264, 3036, 486, 312, 8693, 294, 341, 1081, 294, 341, 1081, 11, 321, 486, 352, 293, 2642, 341, 3036, 294, 264, 1081, 300, 321, 10932, 484, 281, 796, 293, 321, 486, 2642, 309, 257, 707, 857, 570, 934, 257, 1339, 321, 486, 584, 983], "avg_logprob": -0.4787233899882499, "compression_ratio": 1.9078947368421053, "no_speech_prob": 2.8789043426513672e-05, "words": [{"start": 236.16, "end": 236.6, "word": "plus", "probability": 0.5146484375}, {"start": 236.6, "end": 236.94, "word": " half", "probability": 0.496826171875}, {"start": 236.94, "end": 237.1, "word": " a", "probability": 0.439208984375}, {"start": 237.1, "end": 237.2, "word": " meter,", "probability": 0.890625}, {"start": 237.3, "end": 237.74, "word": " plus", "probability": 0.7470703125}, {"start": 237.74, "end": 238.0, "word": " half", "probability": 0.87255859375}, {"start": 238.0, "end": 238.1, "word": " a", "probability": 0.96728515625}, {"start": 238.1, "end": 238.4, "word": " meter,", "probability": 0.916015625}, {"start": 238.92, "end": 239.14, "word": " it", "probability": 0.2587890625}, {"start": 239.14, "end": 239.14, "word": " is", "probability": 0.461669921875}, {"start": 239.14, "end": 239.3, "word": " necessary", "probability": 0.568359375}, {"start": 239.3, "end": 239.46, "word": " to", "probability": 0.79443359375}, {"start": 239.46, "end": 239.68, "word": " calculate", "probability": 0.79345703125}, {"start": 239.68, "end": 239.86, "word": " the", "probability": 0.5830078125}, {"start": 239.86, "end": 240.3, "word": " distances", "probability": 0.4326171875}, {"start": 240.3, "end": 240.7, "word": " correctly", "probability": 0.7998046875}, {"start": 240.7, "end": 241.44, "word": " now", "probability": 0.33447265625}, {"start": 241.44, "end": 241.66, "word": " I", "probability": 0.71826171875}, {"start": 241.66, "end": 241.84, "word": " want", "probability": 0.748046875}, {"start": 241.84, "end": 241.94, "word": " to", "probability": 0.96337890625}, {"start": 241.94, "end": 242.1, "word": " move", "probability": 0.515625}, {"start": 242.1, "end": 242.26, "word": " away", "probability": 0.61669921875}, {"start": 242.26, "end": 242.28, "word": " a", "probability": 0.521484375}, {"start": 242.28, "end": 242.48, "word": " little", "probability": 0.66357421875}, {"start": 242.48, "end": 242.92, "word": " bit", "probability": 0.431640625}, {"start": 242.92, "end": 243.42, "word": " and", "probability": 0.34814453125}, {"start": 243.42, "end": 244.14, "word": " say", "probability": 0.7001953125}, {"start": 244.14, "end": 244.34, "word": " here", "probability": 0.58447265625}, {"start": 244.34, "end": 244.78, "word": " about", "probability": 0.29296875}, {"start": 244.78, "end": 245.44, "word": " 25", "probability": 0.62109375}, {"start": 245.44, "end": 246.1, "word": " centimeters", "probability": 0.39794921875}, {"start": 246.1, "end": 247.18, "word": " which", "probability": 0.66357421875}, {"start": 247.18, "end": 247.26, "word": " is", "probability": 0.92236328125}, {"start": 247.26, "end": 247.34, "word": " a", "probability": 0.5771484375}, {"start": 247.34, "end": 247.46, "word": " quarter", "probability": 0.923828125}, {"start": 247.46, "end": 247.6, "word": " of", "probability": 0.88427734375}, {"start": 247.6, "end": 247.64, "word": " a", "probability": 0.9580078125}, {"start": 247.64, "end": 247.82, "word": " meter,", "probability": 0.91357421875}, {"start": 247.9, "end": 248.06, "word": " here", "probability": 0.5537109375}, {"start": 248.06, "end": 248.32, "word": " also", "probability": 0.56103515625}, {"start": 248.32, "end": 248.78, "word": " 25", "probability": 0.890625}, {"start": 248.78, "end": 249.04, "word": " centimeters,", "probability": 0.5732421875}, {"start": 249.08, "end": 249.22, "word": " which", "probability": 0.2398681640625}, {"start": 249.22, "end": 249.22, "word": " means", "probability": 0.93359375}, {"start": 249.22, "end": 249.46, "word": " that", "probability": 0.52978515625}, {"start": 249.46, "end": 249.54, "word": " the", "probability": 0.869140625}, {"start": 249.54, "end": 249.68, "word": " picture", "probability": 0.47802734375}, {"start": 249.68, "end": 249.9, "word": " will", "probability": 0.7705078125}, {"start": 249.9, "end": 250.02, "word": " be", "probability": 0.48779296875}, {"start": 250.02, "end": 250.3, "word": " formed", "probability": 0.68994140625}, {"start": 250.3, "end": 250.44, "word": " in", "probability": 0.90869140625}, {"start": 250.44, "end": 251.78, "word": " this", "probability": 0.88134765625}, {"start": 251.78, "end": 251.78, "word": " place", "probability": 0.8232421875}, {"start": 251.78, "end": 252.02, "word": " in", "probability": 0.3671875}, {"start": 252.02, "end": 252.12, "word": " this", "probability": 0.931640625}, {"start": 252.12, "end": 252.58, "word": " place,", "probability": 0.85205078125}, {"start": 253.14, "end": 253.32, "word": " we", "probability": 0.58740234375}, {"start": 253.32, "end": 253.4, "word": " will", "probability": 0.384033203125}, {"start": 253.4, "end": 253.44, "word": " go", "probability": 0.70458984375}, {"start": 253.44, "end": 253.56, "word": " and", "probability": 0.51513671875}, {"start": 253.56, "end": 253.74, "word": " draw", "probability": 0.8330078125}, {"start": 253.74, "end": 254.24, "word": " this", "probability": 0.92138671875}, {"start": 254.24, "end": 254.82, "word": " picture", "probability": 0.81591796875}, {"start": 254.82, "end": 256.74, "word": " in", "probability": 0.86328125}, {"start": 256.74, "end": 256.88, "word": " the", "probability": 0.88232421875}, {"start": 256.88, "end": 257.2, "word": " place", "probability": 0.8203125}, {"start": 257.2, "end": 257.48, "word": " that", "probability": 0.52001953125}, {"start": 257.48, "end": 258.06, "word": " we", "probability": 0.9306640625}, {"start": 258.06, "end": 258.52, "word": " pointed", "probability": 0.30126953125}, {"start": 258.52, "end": 258.74, "word": " out", "probability": 0.333984375}, {"start": 258.74, "end": 258.88, "word": " to", "probability": 0.52587890625}, {"start": 258.88, "end": 259.16, "word": " him", "probability": 0.492431640625}, {"start": 259.16, "end": 260.1, "word": " and", "probability": 0.76171875}, {"start": 260.1, "end": 260.4, "word": " we", "probability": 0.90576171875}, {"start": 260.4, "end": 260.4, "word": " will", "probability": 0.80419921875}, {"start": 260.4, "end": 260.58, "word": " draw", "probability": 0.8330078125}, {"start": 260.58, "end": 260.82, "word": " it", "probability": 0.89892578125}, {"start": 260.82, "end": 260.94, "word": " a", "probability": 0.47265625}, {"start": 260.94, "end": 261.06, "word": " little", "probability": 0.8271484375}, {"start": 261.06, "end": 261.5, "word": " bit", "probability": 0.736328125}, {"start": 261.5, "end": 262.1, "word": " because", "probability": 0.204833984375}, {"start": 262.1, "end": 263.02, "word": " after", "probability": 0.403076171875}, {"start": 263.02, "end": 263.2, "word": " a", "probability": 0.974609375}, {"start": 263.2, "end": 263.28, "word": " while", "probability": 0.8837890625}, {"start": 263.28, "end": 263.56, "word": " we", "probability": 0.884765625}, {"start": 263.56, "end": 263.58, "word": " will", "probability": 0.81982421875}, {"start": 263.58, "end": 263.86, "word": " say", "probability": 0.88720703125}, {"start": 263.86, "end": 264.28, "word": " why", "probability": 0.8544921875}], "temperature": 1.0}, {"id": 11, "seek": 30929, "start": 280.75, "end": 309.29, "text": "so this image is 50 cm away from the lens so from the first lens to the second lens is 50 cm before we show the second lens and deal with it we bring the TM1 TM1 is equal to U over V is equal to U minus one this is greater over V plus two this is greater and is equal to", "tokens": [539, 341, 3256, 307, 2625, 14668, 1314, 490, 264, 6765, 370, 490, 264, 700, 6765, 281, 264, 1150, 6765, 307, 2625, 14668, 949, 321, 855, 264, 1150, 6765, 293, 2028, 365, 309, 321, 1565, 264, 33550, 16, 33550, 16, 307, 2681, 281, 624, 670, 691, 307, 2681, 281, 624, 3175, 472, 341, 307, 5044, 670, 691, 1804, 732, 341, 307, 5044, 293, 307, 2681, 281], "avg_logprob": -0.5066287833632845, "compression_ratio": 1.8120805369127517, "no_speech_prob": 5.781650543212891e-06, "words": [{"start": 280.75, "end": 281.07, "word": "so", "probability": 0.1712646484375}, {"start": 281.07, "end": 281.39, "word": " this", "probability": 0.7705078125}, {"start": 281.39, "end": 281.65, "word": " image", "probability": 0.39990234375}, {"start": 281.65, "end": 281.85, "word": " is", "probability": 0.76123046875}, {"start": 281.85, "end": 282.61, "word": " 50", "probability": 0.66650390625}, {"start": 282.61, "end": 283.31, "word": " cm", "probability": 0.44189453125}, {"start": 283.31, "end": 283.33, "word": " away", "probability": 0.265869140625}, {"start": 283.33, "end": 284.53, "word": " from", "probability": 0.86474609375}, {"start": 284.53, "end": 284.73, "word": " the", "probability": 0.8037109375}, {"start": 284.73, "end": 285.03, "word": " lens", "probability": 0.28955078125}, {"start": 285.03, "end": 285.73, "word": " so", "probability": 0.130615234375}, {"start": 285.73, "end": 285.89, "word": " from", "probability": 0.437744140625}, {"start": 285.89, "end": 286.33, "word": " the", "probability": 0.791015625}, {"start": 286.33, "end": 286.87, "word": " first", "probability": 0.75439453125}, {"start": 286.87, "end": 286.87, "word": " lens", "probability": 0.8427734375}, {"start": 286.87, "end": 287.13, "word": " to", "probability": 0.447509765625}, {"start": 287.13, "end": 287.33, "word": " the", "probability": 0.85791015625}, {"start": 287.33, "end": 287.95, "word": " second", "probability": 0.66943359375}, {"start": 287.95, "end": 287.99, "word": " lens", "probability": 0.8046875}, {"start": 287.99, "end": 288.09, "word": " is", "probability": 0.2685546875}, {"start": 288.09, "end": 288.35, "word": " 50", "probability": 0.9189453125}, {"start": 288.35, "end": 288.89, "word": " cm", "probability": 0.80517578125}, {"start": 288.89, "end": 289.65, "word": " before", "probability": 0.58935546875}, {"start": 289.65, "end": 289.91, "word": " we", "probability": 0.70654296875}, {"start": 289.91, "end": 290.13, "word": " show", "probability": 0.362060546875}, {"start": 290.13, "end": 290.27, "word": " the", "probability": 0.8115234375}, {"start": 290.27, "end": 290.83, "word": " second", "probability": 0.642578125}, {"start": 290.83, "end": 290.83, "word": " lens", "probability": 0.85302734375}, {"start": 290.83, "end": 291.01, "word": " and", "probability": 0.6298828125}, {"start": 291.01, "end": 291.35, "word": " deal", "probability": 0.434326171875}, {"start": 291.35, "end": 291.71, "word": " with", "probability": 0.90576171875}, {"start": 291.71, "end": 291.85, "word": " it", "probability": 0.8486328125}, {"start": 291.85, "end": 291.95, "word": " we", "probability": 0.292724609375}, {"start": 291.95, "end": 292.15, "word": " bring", "probability": 0.27197265625}, {"start": 292.15, "end": 292.33, "word": " the", "probability": 0.68603515625}, {"start": 292.33, "end": 293.15, "word": " TM1", "probability": 0.4954833984375}, {"start": 293.15, "end": 294.35, "word": " TM1", "probability": 0.61865234375}, {"start": 294.35, "end": 295.27, "word": " is", "probability": 0.201171875}, {"start": 295.27, "end": 295.65, "word": " equal", "probability": 0.861328125}, {"start": 295.65, "end": 296.41, "word": " to", "probability": 0.9013671875}, {"start": 296.41, "end": 296.73, "word": " U", "probability": 0.595703125}, {"start": 296.73, "end": 297.17, "word": " over", "probability": 0.467529296875}, {"start": 297.17, "end": 297.81, "word": " V", "probability": 0.9521484375}, {"start": 297.81, "end": 299.03, "word": " is", "probability": 0.322509765625}, {"start": 299.03, "end": 299.49, "word": " equal", "probability": 0.86474609375}, {"start": 299.49, "end": 300.85, "word": " to", "probability": 0.96630859375}, {"start": 300.85, "end": 301.21, "word": " U", "probability": 0.83056640625}, {"start": 301.21, "end": 301.57, "word": " minus", "probability": 0.85400390625}, {"start": 301.57, "end": 301.95, "word": " one", "probability": 0.5126953125}, {"start": 301.95, "end": 302.09, "word": " this", "probability": 0.2423095703125}, {"start": 302.09, "end": 302.17, "word": " is", "probability": 0.8193359375}, {"start": 302.17, "end": 302.43, "word": " greater", "probability": 0.7060546875}, {"start": 302.43, "end": 304.63, "word": " over", "probability": 0.353515625}, {"start": 304.63, "end": 305.09, "word": " V", "probability": 0.87548828125}, {"start": 305.09, "end": 306.13, "word": " plus", "probability": 0.93115234375}, {"start": 306.13, "end": 306.51, "word": " two", "probability": 0.84765625}, {"start": 306.51, "end": 306.71, "word": " this", "probability": 0.7568359375}, {"start": 306.71, "end": 306.81, "word": " is", "probability": 0.9345703125}, {"start": 306.81, "end": 307.11, "word": " greater", "probability": 0.82275390625}, {"start": 307.11, "end": 308.53, "word": " and", "probability": 0.60986328125}, {"start": 308.53, "end": 308.67, "word": " is", "probability": 0.5888671875}, {"start": 308.67, "end": 309.01, "word": " equal", "probability": 0.892578125}, {"start": 309.01, "end": 309.29, "word": " to", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 12, "seek": 33036, "start": 311.06, "end": 330.36, "text": "of course x minus half, x minus half and the denominator with the denominator they say what does x minus half mean? it means the picture is upside down and half of the object is upside down", "tokens": [2670, 1164, 2031, 3175, 1922, 11, 2031, 3175, 1922, 293, 264, 1441, 298, 31927, 365, 264, 1441, 298, 31927, 436, 584, 437, 775, 2031, 3175, 1922, 914, 30, 309, 1355, 264, 3036, 307, 14119, 760, 293, 1922, 295, 264, 2657, 307, 14119, 760], "avg_logprob": -0.6175426095724106, "compression_ratio": 1.7027027027027026, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 311.06, "end": 311.66, "word": "of", "probability": 0.10992431640625}, {"start": 311.66, "end": 311.88, "word": " course", "probability": 0.9130859375}, {"start": 311.88, "end": 312.78, "word": " x", "probability": 0.50927734375}, {"start": 312.78, "end": 315.0, "word": " minus", "probability": 0.83544921875}, {"start": 315.0, "end": 315.46, "word": " half,", "probability": 0.79150390625}, {"start": 315.56, "end": 315.86, "word": " x", "probability": 0.82177734375}, {"start": 315.86, "end": 316.3, "word": " minus", "probability": 0.986328125}, {"start": 316.3, "end": 316.82, "word": " half", "probability": 0.87109375}, {"start": 316.82, "end": 317.02, "word": " and", "probability": 0.51806640625}, {"start": 317.02, "end": 317.06, "word": " the", "probability": 0.6826171875}, {"start": 317.06, "end": 317.36, "word": " denominator", "probability": 0.5664469401041666}, {"start": 317.36, "end": 317.56, "word": " with", "probability": 0.5908203125}, {"start": 317.56, "end": 317.68, "word": " the", "probability": 0.46044921875}, {"start": 317.68, "end": 318.16, "word": " denominator", "probability": 0.7109375}, {"start": 318.16, "end": 319.24, "word": " they", "probability": 0.05902099609375}, {"start": 319.24, "end": 319.44, "word": " say", "probability": 0.1744384765625}, {"start": 319.44, "end": 321.22, "word": " what", "probability": 0.52197265625}, {"start": 321.22, "end": 321.44, "word": " does", "probability": 0.7412109375}, {"start": 321.44, "end": 321.76, "word": " x", "probability": 0.859375}, {"start": 321.76, "end": 322.16, "word": " minus", "probability": 0.97412109375}, {"start": 322.16, "end": 322.56, "word": " half", "probability": 0.88037109375}, {"start": 322.56, "end": 322.58, "word": " mean?", "probability": 0.72216796875}, {"start": 322.58, "end": 322.82, "word": " it", "probability": 0.446533203125}, {"start": 322.82, "end": 323.04, "word": " means", "probability": 0.82177734375}, {"start": 323.04, "end": 324.14, "word": " the", "probability": 0.484130859375}, {"start": 324.14, "end": 324.38, "word": " picture", "probability": 0.422119140625}, {"start": 324.38, "end": 324.56, "word": " is", "probability": 0.806640625}, {"start": 324.56, "end": 324.74, "word": " upside", "probability": 0.276123046875}, {"start": 324.74, "end": 325.08, "word": " down", "probability": 0.802734375}, {"start": 325.08, "end": 326.56, "word": " and", "probability": 0.80810546875}, {"start": 326.56, "end": 327.12, "word": " half", "probability": 0.75146484375}, {"start": 327.12, "end": 327.3, "word": " of", "probability": 0.74755859375}, {"start": 327.3, "end": 327.36, "word": " the", "probability": 0.72216796875}, {"start": 327.36, "end": 327.94, "word": " object", "probability": 0.94482421875}, {"start": 327.94, "end": 328.22, "word": " is", "probability": 0.490966796875}, {"start": 328.22, "end": 330.36, "word": " upside", "probability": 0.06988525390625}, {"start": 330.36, "end": 330.36, "word": " down", "probability": 0.85107421875}], "temperature": 1.0}, {"id": 13, "seek": 36057, "start": 335.63, "end": 360.57, "text": "means that the height is half of the height of the object and half of the height of the object and half of the height of the object this is how we finish the work with the first lens, we want to say as follows now we want to remove the tools that we covered in them we say as follows since the first picture", "tokens": [1398, 599, 300, 264, 6681, 307, 1922, 295, 264, 6681, 295, 264, 2657, 293, 1922, 295, 264, 6681, 295, 264, 2657, 293, 1922, 295, 264, 6681, 295, 264, 2657, 341, 307, 577, 321, 2413, 264, 589, 365, 264, 700, 6765, 11, 321, 528, 281, 584, 382, 10002, 586, 321, 528, 281, 4159, 264, 3873, 300, 321, 5343, 294, 552, 321, 584, 382, 10002, 1670, 264, 700, 3036], "avg_logprob": -0.6240808534271577, "compression_ratio": 2.20863309352518, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 335.63, "end": 335.95, "word": "means", "probability": 0.44891357421875}, {"start": 335.95, "end": 336.03, "word": " that", "probability": 0.35400390625}, {"start": 336.03, "end": 336.15, "word": " the", "probability": 0.375}, {"start": 336.15, "end": 336.41, "word": " height", "probability": 0.68505859375}, {"start": 336.41, "end": 336.83, "word": " is", "probability": 0.69921875}, {"start": 336.83, "end": 337.07, "word": " half", "probability": 0.3828125}, {"start": 337.07, "end": 337.97, "word": " of", "probability": 0.136962890625}, {"start": 337.97, "end": 337.97, "word": " the", "probability": 0.5185546875}, {"start": 337.97, "end": 337.97, "word": " height", "probability": 0.391845703125}, {"start": 337.97, "end": 338.29, "word": " of", "probability": 0.654296875}, {"start": 338.29, "end": 338.69, "word": " the", "probability": 0.66455078125}, {"start": 338.69, "end": 338.91, "word": " object", "probability": 0.65087890625}, {"start": 338.91, "end": 340.37, "word": " and", "probability": 0.387451171875}, {"start": 340.37, "end": 341.09, "word": " half", "probability": 0.1727294921875}, {"start": 341.09, "end": 341.29, "word": " of", "probability": 0.69775390625}, {"start": 341.29, "end": 341.37, "word": " the", "probability": 0.6171875}, {"start": 341.37, "end": 341.75, "word": " height", "probability": 0.8818359375}, {"start": 341.75, "end": 341.95, "word": " of", "probability": 0.40966796875}, {"start": 341.95, "end": 341.95, "word": " the", "probability": 0.80029296875}, {"start": 341.95, "end": 341.95, "word": " object", "probability": 0.80322265625}, {"start": 341.95, "end": 341.95, "word": " and", "probability": 0.10211181640625}, {"start": 341.95, "end": 342.19, "word": " half", "probability": 0.564453125}, {"start": 342.19, "end": 342.39, "word": " of", "probability": 0.92138671875}, {"start": 342.39, "end": 342.49, "word": " the", "probability": 0.822265625}, {"start": 342.49, "end": 342.75, "word": " height", "probability": 0.9658203125}, {"start": 342.75, "end": 342.75, "word": " of", "probability": 0.58935546875}, {"start": 342.75, "end": 342.93, "word": " the", "probability": 0.8720703125}, {"start": 342.93, "end": 342.93, "word": " object", "probability": 0.94970703125}, {"start": 342.93, "end": 343.41, "word": " this", "probability": 0.12481689453125}, {"start": 343.41, "end": 343.47, "word": " is", "probability": 0.53759765625}, {"start": 343.47, "end": 343.71, "word": " how", "probability": 0.689453125}, {"start": 343.71, "end": 343.85, "word": " we", "probability": 0.3291015625}, {"start": 343.85, "end": 343.85, "word": " finish", "probability": 0.362060546875}, {"start": 343.85, "end": 343.95, "word": " the", "probability": 0.29443359375}, {"start": 343.95, "end": 344.09, "word": " work", "probability": 0.33984375}, {"start": 344.09, "end": 344.33, "word": " with", "probability": 0.62890625}, {"start": 344.33, "end": 344.45, "word": " the", "probability": 0.84228515625}, {"start": 344.45, "end": 345.09, "word": " first", "probability": 0.83984375}, {"start": 345.09, "end": 345.09, "word": " lens,", "probability": 0.371826171875}, {"start": 345.29, "end": 345.37, "word": " we", "probability": 0.56982421875}, {"start": 345.37, "end": 345.51, "word": " want", "probability": 0.27978515625}, {"start": 345.51, "end": 345.63, "word": " to", "probability": 0.95556640625}, {"start": 345.63, "end": 345.81, "word": " say", "probability": 0.69189453125}, {"start": 345.81, "end": 346.03, "word": " as", "probability": 0.63916015625}, {"start": 346.03, "end": 346.43, "word": " follows", "probability": 0.72119140625}, {"start": 346.43, "end": 347.43, "word": " now", "probability": 0.54541015625}, {"start": 347.43, "end": 347.73, "word": " we", "probability": 0.7958984375}, {"start": 347.73, "end": 347.73, "word": " want", "probability": 0.630859375}, {"start": 347.73, "end": 349.25, "word": " to", "probability": 0.92578125}, {"start": 349.25, "end": 349.67, "word": " remove", "probability": 0.36181640625}, {"start": 349.67, "end": 350.81, "word": " the", "probability": 0.7392578125}, {"start": 350.81, "end": 351.09, "word": " tools", "probability": 0.73388671875}, {"start": 351.09, "end": 351.33, "word": " that", "probability": 0.60693359375}, {"start": 351.33, "end": 351.37, "word": " we", "probability": 0.80078125}, {"start": 351.37, "end": 351.65, "word": " covered", "probability": 0.5263671875}, {"start": 351.65, "end": 351.91, "word": " in", "probability": 0.420166015625}, {"start": 351.91, "end": 354.59, "word": " them", "probability": 0.79931640625}, {"start": 354.59, "end": 355.45, "word": " we", "probability": 0.3994140625}, {"start": 355.45, "end": 355.61, "word": " say", "probability": 0.7421875}, {"start": 355.61, "end": 355.83, "word": " as", "probability": 0.9052734375}, {"start": 355.83, "end": 356.21, "word": " follows", "probability": 0.76220703125}, {"start": 356.21, "end": 357.39, "word": " since", "probability": 0.445068359375}, {"start": 357.39, "end": 360.29, "word": " the", "probability": 0.81640625}, {"start": 360.29, "end": 360.31, "word": " first", "probability": 0.87158203125}, {"start": 360.31, "end": 360.57, "word": " picture", "probability": 0.399658203125}], "temperature": 1.0}, {"id": 14, "seek": 38660, "start": 361.76, "end": 386.6, "text": "اللي هنعتبرها جسم للعدسة التانية تبعد خمسين صانطي عن العدسة الأولى اللى كونتها يعني مسافة من هنا لهنا خمسين صانطي والمسافة بين العدستين خمسة وعشرين صانطي اذا المسافة بين العدسة التانية بين العدسة التانية والجسم بتاعها اللى هى عيمينها جاى المرة هاى اللى هى ال virtual object", "tokens": [6027, 20292, 8032, 1863, 34268, 26890, 11296, 10874, 38251, 24976, 3615, 3215, 3794, 3660, 16712, 7649, 10632, 6055, 3555, 22488, 16490, 2304, 3794, 9957, 20328, 7649, 9566, 1829, 18871, 18863, 3215, 3794, 3660, 16247, 12610, 7578, 13672, 7578, 9122, 11536, 2655, 11296, 37495, 22653, 47524, 31845, 3660, 9154, 34105, 5296, 3224, 8315, 16490, 2304, 3794, 9957, 20328, 7649, 9566, 1829, 4032, 45340, 3794, 31845, 3660, 49374, 18863, 3215, 3794, 2655, 9957, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 20328, 7649, 9566, 1829, 1975, 15730, 9673, 3794, 31845, 3660, 49374, 18863, 3215, 3794, 3660, 16712, 7649, 10632, 49374, 18863, 3215, 3794, 3660, 16712, 7649, 10632, 4032, 6027, 7435, 38251, 39894, 45761, 11296, 13672, 7578, 8032, 7578, 6225, 32640, 9957, 11296, 10874, 995, 7578, 9673, 25720, 8032, 995, 7578, 13672, 7578, 8032, 7578, 2423, 6374, 2657], "avg_logprob": -0.17095588695477038, "compression_ratio": 2.2863849765258215, "no_speech_prob": 8.761882781982422e-06, "words": [{"start": 361.76, "end": 362.0, "word": "اللي", "probability": 0.493682861328125}, {"start": 362.0, "end": 362.58, "word": " هنعتبرها", "probability": 0.8845703125}, {"start": 362.58, "end": 362.88, "word": " جسم", "probability": 0.991943359375}, {"start": 362.88, "end": 363.48, "word": " للعدسة", "probability": 0.84970703125}, {"start": 363.48, "end": 363.98, "word": " التانية", "probability": 0.96728515625}, {"start": 363.98, "end": 365.74, "word": " تبعد", "probability": 0.7900390625}, {"start": 365.74, "end": 366.26, "word": " خمسين", "probability": 0.9423828125}, {"start": 366.26, "end": 366.88, "word": " صانطي", "probability": 0.5535888671875}, {"start": 366.88, "end": 367.22, "word": " عن", "probability": 0.98388671875}, {"start": 367.22, "end": 367.78, "word": " العدسة", "probability": 0.994140625}, {"start": 367.78, "end": 368.12, "word": " الأولى", "probability": 0.9612630208333334}, {"start": 368.12, "end": 368.26, "word": " اللى", "probability": 0.9384765625}, {"start": 368.26, "end": 368.86, "word": " كونتها", "probability": 0.81982421875}, {"start": 368.86, "end": 369.04, "word": " يعني", "probability": 0.520751953125}, {"start": 369.04, "end": 369.48, "word": " مسافة", "probability": 0.8748372395833334}, {"start": 369.48, "end": 369.62, "word": " من", "probability": 0.97216796875}, {"start": 369.62, "end": 369.82, "word": " هنا", "probability": 0.98974609375}, {"start": 369.82, "end": 370.12, "word": " لهنا", "probability": 0.73583984375}, {"start": 370.12, "end": 370.54, "word": " خمسين", "probability": 0.9892578125}, {"start": 370.54, "end": 371.06, "word": " صانطي", "probability": 0.8994140625}, {"start": 371.06, "end": 372.24, "word": " والمسافة", "probability": 0.8904296875}, {"start": 372.24, "end": 372.44, "word": " بين", "probability": 0.98876953125}, {"start": 372.44, "end": 373.2, "word": " العدستين", "probability": 0.9208984375}, {"start": 373.2, "end": 373.74, "word": " خمسة", "probability": 0.9520263671875}, {"start": 373.74, "end": 374.18, "word": " وعشرين", "probability": 0.9013671875}, {"start": 374.18, "end": 374.74, "word": " صانطي", "probability": 0.9661865234375}, {"start": 374.74, "end": 375.4, "word": " اذا", "probability": 0.61865234375}, {"start": 375.4, "end": 376.12, "word": " المسافة", "probability": 0.9805908203125}, {"start": 376.12, "end": 376.32, "word": " بين", "probability": 0.98876953125}, {"start": 376.32, "end": 376.94, "word": " العدسة", "probability": 0.996337890625}, {"start": 376.94, "end": 378.64, "word": " التانية", "probability": 0.9847005208333334}, {"start": 378.64, "end": 379.34, "word": " بين", "probability": 0.3466796875}, {"start": 379.34, "end": 379.86, "word": " العدسة", "probability": 0.9962158203125}, {"start": 379.86, "end": 380.36, "word": " التانية", "probability": 0.9881184895833334}, {"start": 380.36, "end": 381.78, "word": " والجسم", "probability": 0.8641357421875}, {"start": 381.78, "end": 382.38, "word": " بتاعها", "probability": 0.95166015625}, {"start": 382.38, "end": 382.6, "word": " اللى", "probability": 0.92822265625}, {"start": 382.6, "end": 382.72, "word": " هى", "probability": 0.449951171875}, {"start": 382.72, "end": 383.24, "word": " عيمينها", "probability": 0.89306640625}, {"start": 383.24, "end": 383.5, "word": " جاى", "probability": 0.72119140625}, {"start": 383.5, "end": 383.8, "word": " المرة", "probability": 0.935546875}, {"start": 383.8, "end": 384.24, "word": " هاى", "probability": 0.759765625}, {"start": 384.24, "end": 385.22, "word": " اللى", "probability": 0.959716796875}, {"start": 385.22, "end": 385.28, "word": " هى", "probability": 0.81201171875}, {"start": 385.28, "end": 385.38, "word": " ال", "probability": 0.97119140625}, {"start": 385.38, "end": 386.0, "word": " virtual", "probability": 0.88232421875}, {"start": 386.0, "end": 386.6, "word": " object", "probability": 0.9794921875}], "temperature": 1.0}, {"id": 15, "seek": 40207, "start": 387.79, "end": 402.07, "text": "also 25, 25 and 25 means 50 cm this is the first picture which is the body number 2, the body number 2 I will draw me in two colors", "tokens": [41551, 3552, 11, 3552, 293, 3552, 1355, 2625, 14668, 341, 307, 264, 700, 3036, 597, 307, 264, 1772, 1230, 568, 11, 264, 1772, 1230, 568, 286, 486, 2642, 385, 294, 732, 4577], "avg_logprob": -0.4666193181818182, "compression_ratio": 1.297029702970297, "no_speech_prob": 1.6093254089355469e-06, "words": [{"start": 387.79, "end": 388.17, "word": "also", "probability": 0.26806640625}, {"start": 388.17, "end": 388.77, "word": " 25,", "probability": 0.75732421875}, {"start": 388.99, "end": 389.37, "word": " 25", "probability": 0.7705078125}, {"start": 389.37, "end": 389.75, "word": " and", "probability": 0.55859375}, {"start": 389.75, "end": 390.27, "word": " 25", "probability": 0.9736328125}, {"start": 390.27, "end": 390.55, "word": " means", "probability": 0.36962890625}, {"start": 390.55, "end": 391.01, "word": " 50", "probability": 0.93603515625}, {"start": 391.01, "end": 391.49, "word": " cm", "probability": 0.464111328125}, {"start": 391.49, "end": 392.27, "word": " this", "probability": 0.48974609375}, {"start": 392.27, "end": 393.55, "word": " is", "probability": 0.87841796875}, {"start": 393.55, "end": 394.01, "word": " the", "probability": 0.7392578125}, {"start": 394.01, "end": 394.57, "word": " first", "probability": 0.82568359375}, {"start": 394.57, "end": 394.57, "word": " picture", "probability": 0.5400390625}, {"start": 394.57, "end": 394.81, "word": " which", "probability": 0.49072265625}, {"start": 394.81, "end": 395.05, "word": " is", "probability": 0.84423828125}, {"start": 395.05, "end": 395.07, "word": " the", "probability": 0.421142578125}, {"start": 395.07, "end": 395.29, "word": " body", "probability": 0.52294921875}, {"start": 395.29, "end": 395.69, "word": " number", "probability": 0.6728515625}, {"start": 395.69, "end": 396.37, "word": " 2,", "probability": 0.81494140625}, {"start": 396.47, "end": 396.65, "word": " the", "probability": 0.366455078125}, {"start": 396.65, "end": 396.89, "word": " body", "probability": 0.87158203125}, {"start": 396.89, "end": 397.35, "word": " number", "probability": 0.9208984375}, {"start": 397.35, "end": 398.27, "word": " 2", "probability": 0.9580078125}, {"start": 398.27, "end": 401.11, "word": " I", "probability": 0.71826171875}, {"start": 401.11, "end": 401.25, "word": " will", "probability": 0.6826171875}, {"start": 401.25, "end": 401.33, "word": " draw", "probability": 0.80712890625}, {"start": 401.33, "end": 401.69, "word": " me", "probability": 0.336669921875}, {"start": 401.69, "end": 401.87, "word": " in", "probability": 0.55517578125}, {"start": 401.87, "end": 402.07, "word": " two", "probability": 0.6640625}, {"start": 402.07, "end": 402.07, "word": " colors", "probability": 0.83837890625}], "temperature": 1.0}, {"id": 16, "seek": 42762, "start": 417.22, "end": 427.62, "text": "I'm going to try it out. This is itself in two colors. Why two colors? Because I'm going to say something else. Colors help a lot in understanding the topic.", "tokens": [40, 478, 516, 281, 853, 309, 484, 13, 639, 307, 2564, 294, 732, 4577, 13, 1545, 732, 4577, 30, 1436, 286, 478, 516, 281, 584, 746, 1646, 13, 4004, 830, 854, 257, 688, 294, 3701, 264, 4829, 13], "avg_logprob": -0.5757211355062631, "compression_ratio": 1.353448275862069, "no_speech_prob": 0.00044226646423339844, "words": [{"start": 417.22, "end": 417.56, "word": "I'm", "probability": 0.196319580078125}, {"start": 417.56, "end": 417.56, "word": " going", "probability": 0.666015625}, {"start": 417.56, "end": 417.56, "word": " to", "probability": 0.9443359375}, {"start": 417.56, "end": 417.76, "word": " try", "probability": 0.8203125}, {"start": 417.76, "end": 417.88, "word": " it", "probability": 0.541015625}, {"start": 417.88, "end": 417.94, "word": " out.", "probability": 0.1864013671875}, {"start": 418.3, "end": 418.5, "word": " This", "probability": 0.5322265625}, {"start": 418.5, "end": 418.72, "word": " is", "probability": 0.69873046875}, {"start": 418.72, "end": 419.18, "word": " itself", "probability": 0.2049560546875}, {"start": 419.18, "end": 419.34, "word": " in", "probability": 0.380859375}, {"start": 419.34, "end": 419.72, "word": " two", "probability": 0.8115234375}, {"start": 419.72, "end": 419.72, "word": " colors.", "probability": 0.708984375}, {"start": 420.58, "end": 421.16, "word": " Why", "probability": 0.6640625}, {"start": 421.16, "end": 421.32, "word": " two", "probability": 0.60888671875}, {"start": 421.32, "end": 421.56, "word": " colors?", "probability": 0.84765625}, {"start": 421.9, "end": 422.18, "word": " Because", "probability": 0.72607421875}, {"start": 422.18, "end": 422.56, "word": " I'm", "probability": 0.45556640625}, {"start": 422.56, "end": 422.56, "word": " going", "probability": 0.9140625}, {"start": 422.56, "end": 422.56, "word": " to", "probability": 0.96875}, {"start": 422.56, "end": 422.72, "word": " say", "probability": 0.79638671875}, {"start": 422.72, "end": 423.06, "word": " something", "probability": 0.28466796875}, {"start": 423.06, "end": 423.42, "word": " else.", "probability": 0.7880859375}, {"start": 424.36, "end": 424.8, "word": " Colors", "probability": 0.82080078125}, {"start": 424.8, "end": 425.34, "word": " help", "probability": 0.779296875}, {"start": 425.34, "end": 425.84, "word": " a", "probability": 0.5517578125}, {"start": 425.84, "end": 425.84, "word": " lot", "probability": 0.95556640625}, {"start": 425.84, "end": 426.7, "word": " in", "probability": 0.57177734375}, {"start": 426.7, "end": 427.08, "word": " understanding", "probability": 0.6552734375}, {"start": 427.08, "end": 427.3, "word": " the", "probability": 0.83447265625}, {"start": 427.3, "end": 427.62, "word": " topic.", "probability": 0.35791015625}], "temperature": 1.0}, {"id": 17, "seek": 45574, "start": 430.24, "end": 455.74, "text": "باللونين الأصفر و الأزرق كإني بقول طالما اللون الأزرق موجود معناته هذا صورة بتاعة العدسة الأولى الزرقى اللى ميعطينها اللون أزرق و في نفس الوقت جسم للعدسة الصفر جسم للعدسة الصفر طيب الآن هذه الصورة خلينا نحكي عنها كصورة كيف اتكونت بتجمع الأشعة يعني الأشعة رايحة تتجمع عشان اتكونها", "tokens": [3555, 6027, 1211, 11536, 9957, 16247, 9381, 5172, 2288, 4032, 16247, 11622, 2288, 4587, 9122, 28814, 22653, 4724, 39648, 23032, 6027, 15042, 13672, 11536, 16247, 11622, 2288, 4587, 3714, 29245, 23328, 20449, 8315, 47395, 23758, 20328, 13063, 3660, 39894, 995, 27884, 18863, 3215, 3794, 3660, 16247, 12610, 7578, 6024, 110, 2288, 4587, 7578, 13672, 7578, 3714, 40228, 9566, 9957, 11296, 13672, 11536, 5551, 11622, 2288, 4587, 4032, 8978, 8717, 36178, 2423, 30543, 2655, 10874, 38251, 24976, 22488, 3794, 3660, 31767, 5172, 2288, 10874, 38251, 24976, 22488, 3794, 3660, 31767, 5172, 2288, 23032, 1829, 3555, 6024, 48506, 29538, 31767, 13063, 3660, 16490, 20292, 8315, 8717, 5016, 4117, 1829, 18871, 11296, 9122, 9381, 13063, 3660, 9122, 33911, 1975, 2655, 30544, 2655, 39894, 7435, 2304, 3615, 16247, 8592, 27884, 37495, 22653, 16247, 8592, 27884, 12602, 47302, 5016, 3660, 6055, 2655, 7435, 2304, 3615, 6225, 8592, 7649, 1975, 2655, 30544, 11296], "avg_logprob": -0.1422086136566626, "compression_ratio": 2.188841201716738, "no_speech_prob": 1.1801719665527344e-05, "words": [{"start": 430.24, "end": 431.24, "word": "باللونين", "probability": 0.795166015625}, {"start": 431.24, "end": 431.74, "word": " الأصفر", "probability": 0.9031982421875}, {"start": 431.74, "end": 431.8, "word": " و", "probability": 0.63916015625}, {"start": 431.8, "end": 432.18, "word": " الأزرق", "probability": 0.8961181640625}, {"start": 432.18, "end": 432.54, "word": " كإني", "probability": 0.75732421875}, {"start": 432.54, "end": 433.02, "word": " بقول", "probability": 0.979736328125}, {"start": 433.02, "end": 433.82, "word": " طالما", "probability": 0.9111328125}, {"start": 433.82, "end": 434.02, "word": " اللون", "probability": 0.978515625}, {"start": 434.02, "end": 434.44, "word": " الأزرق", "probability": 0.98486328125}, {"start": 434.44, "end": 434.9, "word": " موجود", "probability": 0.9853515625}, {"start": 434.9, "end": 435.24, "word": " معناته", "probability": 0.7227376302083334}, {"start": 435.24, "end": 435.62, "word": " هذا", "probability": 0.8037109375}, {"start": 435.62, "end": 436.22, "word": " صورة", "probability": 0.9586588541666666}, {"start": 436.22, "end": 436.44, "word": " بتاعة", "probability": 0.81005859375}, {"start": 436.44, "end": 437.08, "word": " العدسة", "probability": 0.9534912109375}, {"start": 437.08, "end": 437.76, "word": " الأولى", "probability": 0.9910481770833334}, {"start": 437.76, "end": 438.44, "word": " الزرقى", "probability": 0.826171875}, {"start": 438.44, "end": 438.88, "word": " اللى", "probability": 0.87060546875}, {"start": 438.88, "end": 440.58, "word": " ميعطينها", "probability": 0.66640625}, {"start": 440.58, "end": 440.84, "word": " اللون", "probability": 0.802001953125}, {"start": 440.84, "end": 441.34, "word": " أزرق", "probability": 0.916748046875}, {"start": 441.34, "end": 442.18, "word": " و", "probability": 0.9638671875}, {"start": 442.18, "end": 442.7, "word": " في", "probability": 0.68017578125}, {"start": 442.7, "end": 442.92, "word": " نفس", "probability": 0.998046875}, {"start": 442.92, "end": 443.32, "word": " الوقت", "probability": 0.82568359375}, {"start": 443.32, "end": 443.72, "word": " جسم", "probability": 0.9931640625}, {"start": 443.72, "end": 444.48, "word": " للعدسة", "probability": 0.9285888671875}, {"start": 444.48, "end": 445.14, "word": " الصفر", "probability": 0.9518229166666666}, {"start": 445.14, "end": 445.54, "word": " جسم", "probability": 0.72119140625}, {"start": 445.54, "end": 446.14, "word": " للعدسة", "probability": 0.9862060546875}, {"start": 446.14, "end": 446.62, "word": " الصفر", "probability": 0.9918619791666666}, {"start": 446.62, "end": 447.34, "word": " طيب", "probability": 0.9524739583333334}, {"start": 447.34, "end": 447.86, "word": " الآن", "probability": 0.610595703125}, {"start": 447.86, "end": 448.74, "word": " هذه", "probability": 0.468505859375}, {"start": 448.74, "end": 449.46, "word": " الصورة", "probability": 0.9886067708333334}, {"start": 449.46, "end": 449.74, "word": " خلينا", "probability": 0.8639322916666666}, {"start": 449.74, "end": 450.0, "word": " نحكي", "probability": 0.9453125}, {"start": 450.0, "end": 450.22, "word": " عنها", "probability": 0.9931640625}, {"start": 450.22, "end": 450.66, "word": " كصورة", "probability": 0.991943359375}, {"start": 450.66, "end": 450.9, "word": " كيف", "probability": 0.962890625}, {"start": 450.9, "end": 451.48, "word": " اتكونت", "probability": 0.87353515625}, {"start": 451.48, "end": 452.08, "word": " بتجمع", "probability": 0.9632568359375}, {"start": 452.08, "end": 452.6, "word": " الأشعة", "probability": 0.87548828125}, {"start": 452.6, "end": 453.18, "word": " يعني", "probability": 0.8505859375}, {"start": 453.18, "end": 453.76, "word": " الأشعة", "probability": 0.9822591145833334}, {"start": 453.76, "end": 454.24, "word": " رايحة", "probability": 0.9710693359375}, {"start": 454.24, "end": 454.82, "word": " تتجمع", "probability": 0.9837890625}, {"start": 454.82, "end": 455.12, "word": " عشان", "probability": 0.98486328125}, {"start": 455.12, "end": 455.74, "word": " اتكونها", "probability": 0.737060546875}], "temperature": 1.0}, {"id": 18, "seek": 46356, "start": 456.5, "end": 463.56, "text": "الأشيعة رايحة تتجمع عشان تتكونها إذا الأشيعة و هي رايحة تتكونها", "tokens": [6027, 10721, 8592, 1829, 27884, 12602, 47302, 5016, 3660, 6055, 2655, 7435, 2304, 3615, 6225, 8592, 7649, 6055, 2655, 30544, 11296, 11933, 15730, 16247, 8592, 1829, 27884, 4032, 39896, 12602, 47302, 5016, 3660, 6055, 2655, 30544, 11296], "avg_logprob": -0.18318256814228862, "compression_ratio": 1.4683544303797469, "no_speech_prob": 7.62939453125e-06, "words": [{"start": 456.5, "end": 457.12, "word": "الأشيعة", "probability": 0.663720703125}, {"start": 457.12, "end": 457.48, "word": " رايحة", "probability": 0.96728515625}, {"start": 457.48, "end": 458.12, "word": " تتجمع", "probability": 0.925390625}, {"start": 458.12, "end": 459.12, "word": " عشان", "probability": 0.9666341145833334}, {"start": 459.12, "end": 460.06, "word": " تتكونها", "probability": 0.857666015625}, {"start": 460.06, "end": 461.82, "word": " إذا", "probability": 0.63818359375}, {"start": 461.82, "end": 462.36, "word": " الأشيعة", "probability": 0.886474609375}, {"start": 462.36, "end": 462.48, "word": " و", "probability": 0.78662109375}, {"start": 462.48, "end": 462.6, "word": " هي", "probability": 0.681640625}, {"start": 462.6, "end": 462.92, "word": " رايحة", "probability": 0.9864501953125}, {"start": 462.92, "end": 463.56, "word": " تتكونها", "probability": 0.8824462890625}], "temperature": 1.0}, {"id": 19, "seek": 49092, "start": 464.5, "end": 490.92, "text": "it has been collected to form the first image of the first lens which we will consider as the body of the second lens but before it is formed it will collide with the second lens which is convergent and we said that light if it collides with any lens in front of it means that it is coming from a virtual object because the real object must be a divergent light from it now let's separate the second lens", "tokens": [270, 575, 668, 11087, 281, 1254, 264, 700, 3256, 295, 264, 700, 6765, 597, 321, 486, 1949, 382, 264, 1772, 295, 264, 1150, 6765, 457, 949, 309, 307, 8693, 309, 486, 49093, 365, 264, 1150, 6765, 597, 307, 9652, 6930, 293, 321, 848, 300, 1442, 498, 309, 1263, 1875, 365, 604, 6765, 294, 1868, 295, 309, 1355, 300, 309, 307, 1348, 490, 257, 6374, 2657, 570, 264, 957, 2657, 1633, 312, 257, 18558, 6930, 1442, 490, 309, 586, 718, 311, 4994, 264, 1150, 6765], "avg_logprob": -0.5672793977400836, "compression_ratio": 1.9056603773584906, "no_speech_prob": 2.0563602447509766e-05, "words": [{"start": 464.5, "end": 464.72, "word": "it", "probability": 0.266357421875}, {"start": 464.72, "end": 464.86, "word": " has", "probability": 0.06854248046875}, {"start": 464.86, "end": 465.02, "word": " been", "probability": 0.42236328125}, {"start": 465.02, "end": 465.4, "word": " collected", "probability": 0.09967041015625}, {"start": 465.4, "end": 465.76, "word": " to", "probability": 0.78759765625}, {"start": 465.76, "end": 466.22, "word": " form", "probability": 0.484375}, {"start": 466.22, "end": 466.46, "word": " the", "probability": 0.29736328125}, {"start": 466.46, "end": 466.74, "word": " first", "probability": 0.65380859375}, {"start": 466.74, "end": 466.74, "word": " image", "probability": 0.42041015625}, {"start": 466.74, "end": 468.28, "word": " of", "probability": 0.1771240234375}, {"start": 468.28, "end": 468.46, "word": " the", "probability": 0.7578125}, {"start": 468.46, "end": 468.52, "word": " first", "probability": 0.59814453125}, {"start": 468.52, "end": 468.8, "word": " lens", "probability": 0.736328125}, {"start": 468.8, "end": 469.56, "word": " which", "probability": 0.412841796875}, {"start": 469.56, "end": 469.72, "word": " we", "probability": 0.6533203125}, {"start": 469.72, "end": 469.78, "word": " will", "probability": 0.61376953125}, {"start": 469.78, "end": 470.12, "word": " consider", "probability": 0.75244140625}, {"start": 470.12, "end": 470.26, "word": " as", "probability": 0.300048828125}, {"start": 470.26, "end": 470.32, "word": " the", "probability": 0.411376953125}, {"start": 470.32, "end": 470.5, "word": " body", "probability": 0.69287109375}, {"start": 470.5, "end": 470.64, "word": " of", "probability": 0.91845703125}, {"start": 470.64, "end": 470.72, "word": " the", "probability": 0.88134765625}, {"start": 470.72, "end": 471.38, "word": " second", "probability": 0.7744140625}, {"start": 471.38, "end": 471.44, "word": " lens", "probability": 0.91259765625}, {"start": 471.44, "end": 472.14, "word": " but", "probability": 0.47998046875}, {"start": 472.14, "end": 472.56, "word": " before", "probability": 0.80029296875}, {"start": 472.56, "end": 472.84, "word": " it", "probability": 0.70849609375}, {"start": 472.84, "end": 473.18, "word": " is", "probability": 0.154541015625}, {"start": 473.18, "end": 473.48, "word": " formed", "probability": 0.59228515625}, {"start": 473.48, "end": 473.72, "word": " it", "probability": 0.495361328125}, {"start": 473.72, "end": 473.92, "word": " will", "probability": 0.77978515625}, {"start": 473.92, "end": 474.32, "word": " collide", "probability": 0.52734375}, {"start": 474.32, "end": 474.54, "word": " with", "probability": 0.56689453125}, {"start": 474.54, "end": 474.64, "word": " the", "probability": 0.87158203125}, {"start": 474.64, "end": 475.38, "word": " second", "probability": 0.798828125}, {"start": 475.38, "end": 475.5, "word": " lens", "probability": 0.91748046875}, {"start": 475.5, "end": 476.12, "word": " which", "probability": 0.37744140625}, {"start": 476.12, "end": 476.32, "word": " is", "probability": 0.9111328125}, {"start": 476.32, "end": 477.16, "word": " convergent", "probability": 0.849853515625}, {"start": 477.16, "end": 477.54, "word": " and", "probability": 0.640625}, {"start": 477.54, "end": 477.82, "word": " we", "probability": 0.4638671875}, {"start": 477.82, "end": 477.82, "word": " said", "probability": 0.7529296875}, {"start": 477.82, "end": 477.98, "word": " that", "probability": 0.76025390625}, {"start": 477.98, "end": 478.12, "word": " light", "probability": 0.50732421875}, {"start": 478.12, "end": 478.3, "word": " if", "probability": 0.345458984375}, {"start": 478.3, "end": 478.42, "word": " it", "probability": 0.60302734375}, {"start": 478.42, "end": 478.76, "word": " collides", "probability": 0.833984375}, {"start": 478.76, "end": 478.9, "word": " with", "probability": 0.78076171875}, {"start": 478.9, "end": 480.06, "word": " any", "probability": 0.62255859375}, {"start": 480.06, "end": 480.46, "word": " lens", "probability": 0.716796875}, {"start": 480.46, "end": 480.48, "word": " in", "probability": 0.1929931640625}, {"start": 480.48, "end": 480.48, "word": " front", "probability": 0.64208984375}, {"start": 480.48, "end": 480.48, "word": " of", "probability": 0.779296875}, {"start": 480.48, "end": 480.48, "word": " it", "probability": 0.69189453125}, {"start": 480.48, "end": 480.8, "word": " means", "probability": 0.5244140625}, {"start": 480.8, "end": 481.16, "word": " that", "probability": 0.66259765625}, {"start": 481.16, "end": 481.16, "word": " it", "probability": 0.8798828125}, {"start": 481.16, "end": 481.22, "word": " is", "probability": 0.341552734375}, {"start": 481.22, "end": 481.52, "word": " coming", "probability": 0.4677734375}, {"start": 481.52, "end": 481.7, "word": " from", "probability": 0.880859375}, {"start": 481.7, "end": 481.88, "word": " a", "probability": 0.83203125}, {"start": 481.88, "end": 482.26, "word": " virtual", "probability": 0.845703125}, {"start": 482.26, "end": 482.86, "word": " object", "probability": 0.96875}, {"start": 482.86, "end": 483.14, "word": " because", "probability": 0.83056640625}, {"start": 483.14, "end": 483.28, "word": " the", "probability": 0.406982421875}, {"start": 483.28, "end": 483.48, "word": " real", "probability": 0.830078125}, {"start": 483.48, "end": 484.0, "word": " object", "probability": 0.96337890625}, {"start": 484.0, "end": 484.32, "word": " must", "probability": 0.42724609375}, {"start": 484.32, "end": 485.0, "word": " be", "probability": 0.62744140625}, {"start": 485.0, "end": 485.24, "word": " a", "probability": 0.25830078125}, {"start": 485.24, "end": 487.22, "word": " divergent", "probability": 0.759521484375}, {"start": 487.22, "end": 487.22, "word": " light", "probability": 0.40625}, {"start": 487.22, "end": 487.26, "word": " from", "probability": 0.392333984375}, {"start": 487.26, "end": 487.26, "word": " it", "probability": 0.587890625}, {"start": 487.26, "end": 489.66, "word": " now", "probability": 0.396728515625}, {"start": 489.66, "end": 489.9, "word": " let's", "probability": 0.60302734375}, {"start": 489.9, "end": 490.08, "word": " separate", "probability": 0.3857421875}, {"start": 490.08, "end": 490.26, "word": " the", "probability": 0.8896484375}, {"start": 490.26, "end": 490.92, "word": " second", "probability": 0.865234375}, {"start": 490.92, "end": 490.92, "word": " lens", "probability": 0.91943359375}], "temperature": 1.0}, {"id": 20, "seek": 51809, "start": 491.89, "end": 518.09, "text": "or sorry the first lens from the second lens and we start to draw with each other with the second lens we want to hide it to help us please use a piece of A4 paper so that we don't get confused between the lenses this is my body on the right this time and we want to draw in the way that we are used to we say you", "tokens": [284, 2597, 264, 700, 6765, 490, 264, 1150, 6765, 293, 321, 722, 281, 2642, 365, 1184, 661, 365, 264, 1150, 6765, 321, 528, 281, 6479, 309, 281, 854, 505, 1767, 764, 257, 2522, 295, 316, 19, 3035, 370, 300, 321, 500, 380, 483, 9019, 1296, 264, 18059, 341, 307, 452, 1772, 322, 264, 558, 341, 565, 293, 321, 528, 281, 2642, 294, 264, 636, 300, 321, 366, 1143, 281, 321, 584, 291], "avg_logprob": -0.4623287671232877, "compression_ratio": 1.7584269662921348, "no_speech_prob": 1.0073184967041016e-05, "words": [{"start": 491.89, "end": 492.15, "word": "or", "probability": 0.0831298828125}, {"start": 492.15, "end": 492.49, "word": " sorry", "probability": 0.316650390625}, {"start": 492.49, "end": 492.61, "word": " the", "probability": 0.44677734375}, {"start": 492.61, "end": 493.13, "word": " first", "probability": 0.7763671875}, {"start": 493.13, "end": 493.13, "word": " lens", "probability": 0.638671875}, {"start": 493.13, "end": 493.33, "word": " from", "probability": 0.4951171875}, {"start": 493.33, "end": 493.43, "word": " the", "probability": 0.84228515625}, {"start": 493.43, "end": 493.99, "word": " second", "probability": 0.6650390625}, {"start": 493.99, "end": 494.15, "word": " lens", "probability": 0.81640625}, {"start": 494.15, "end": 494.85, "word": " and", "probability": 0.6728515625}, {"start": 494.85, "end": 495.21, "word": " we", "probability": 0.3759765625}, {"start": 495.21, "end": 495.47, "word": " start", "probability": 0.7626953125}, {"start": 495.47, "end": 495.63, "word": " to", "probability": 0.363525390625}, {"start": 495.63, "end": 495.89, "word": " draw", "probability": 0.27587890625}, {"start": 495.89, "end": 497.59, "word": " with", "probability": 0.3564453125}, {"start": 497.59, "end": 497.87, "word": " each", "probability": 0.317626953125}, {"start": 497.87, "end": 498.01, "word": " other", "probability": 0.8671875}, {"start": 498.01, "end": 498.33, "word": " with", "probability": 0.6064453125}, {"start": 498.33, "end": 498.47, "word": " the", "probability": 0.86279296875}, {"start": 498.47, "end": 499.13, "word": " second", "probability": 0.763671875}, {"start": 499.13, "end": 499.29, "word": " lens", "probability": 0.9091796875}, {"start": 499.29, "end": 501.25, "word": " we", "probability": 0.515625}, {"start": 501.25, "end": 501.45, "word": " want", "probability": 0.35546875}, {"start": 501.45, "end": 501.53, "word": " to", "probability": 0.951171875}, {"start": 501.53, "end": 501.69, "word": " hide", "probability": 0.826171875}, {"start": 501.69, "end": 503.43, "word": " it", "probability": 0.84326171875}, {"start": 503.43, "end": 503.93, "word": " to", "probability": 0.4287109375}, {"start": 503.93, "end": 504.31, "word": " help", "probability": 0.57177734375}, {"start": 504.31, "end": 504.51, "word": " us", "probability": 0.90771484375}, {"start": 504.51, "end": 504.85, "word": " please", "probability": 0.09393310546875}, {"start": 504.85, "end": 505.21, "word": " use", "probability": 0.84521484375}, {"start": 505.21, "end": 505.59, "word": " a", "probability": 0.79931640625}, {"start": 505.59, "end": 505.79, "word": " piece", "probability": 0.81396484375}, {"start": 505.79, "end": 506.03, "word": " of", "probability": 0.9384765625}, {"start": 506.03, "end": 507.07, "word": " A4", "probability": 0.7247314453125}, {"start": 507.07, "end": 507.07, "word": " paper", "probability": 0.80712890625}, {"start": 507.07, "end": 507.77, "word": " so", "probability": 0.6298828125}, {"start": 507.77, "end": 508.09, "word": " that", "probability": 0.54443359375}, {"start": 508.09, "end": 508.35, "word": " we", "probability": 0.90625}, {"start": 508.35, "end": 508.89, "word": " don't", "probability": 0.751953125}, {"start": 508.89, "end": 509.29, "word": " get", "probability": 0.4248046875}, {"start": 509.29, "end": 509.55, "word": " confused", "probability": 0.7060546875}, {"start": 509.55, "end": 509.87, "word": " between", "probability": 0.73193359375}, {"start": 509.87, "end": 509.95, "word": " the", "probability": 0.462890625}, {"start": 509.95, "end": 510.15, "word": " lenses", "probability": 0.82568359375}, {"start": 510.15, "end": 510.41, "word": " this", "probability": 0.348388671875}, {"start": 510.41, "end": 510.45, "word": " is", "probability": 0.82421875}, {"start": 510.45, "end": 510.73, "word": " my", "probability": 0.71044921875}, {"start": 510.73, "end": 511.07, "word": " body", "probability": 0.833984375}, {"start": 511.07, "end": 511.51, "word": " on", "probability": 0.76123046875}, {"start": 511.51, "end": 511.69, "word": " the", "probability": 0.791015625}, {"start": 511.69, "end": 511.95, "word": " right", "probability": 0.88671875}, {"start": 511.95, "end": 512.11, "word": " this", "probability": 0.724609375}, {"start": 512.11, "end": 512.39, "word": " time", "probability": 0.88818359375}, {"start": 512.39, "end": 513.17, "word": " and", "probability": 0.86669921875}, {"start": 513.17, "end": 513.33, "word": " we", "probability": 0.94970703125}, {"start": 513.33, "end": 513.47, "word": " want", "probability": 0.76220703125}, {"start": 513.47, "end": 513.59, "word": " to", "probability": 0.966796875}, {"start": 513.59, "end": 513.87, "word": " draw", "probability": 0.89453125}, {"start": 513.87, "end": 514.59, "word": " in", "probability": 0.578125}, {"start": 514.59, "end": 514.77, "word": " the", "probability": 0.83447265625}, {"start": 514.77, "end": 515.11, "word": " way", "probability": 0.91259765625}, {"start": 515.11, "end": 515.79, "word": " that", "probability": 0.52734375}, {"start": 515.79, "end": 516.27, "word": " we", "probability": 0.95166015625}, {"start": 516.27, "end": 516.43, "word": " are", "probability": 0.580078125}, {"start": 516.43, "end": 516.73, "word": " used", "probability": 0.80029296875}, {"start": 516.73, "end": 517.11, "word": " to", "probability": 0.9560546875}, {"start": 517.11, "end": 517.43, "word": " we", "probability": 0.2415771484375}, {"start": 517.43, "end": 517.73, "word": " say", "probability": 0.87255859375}, {"start": 517.73, "end": 518.09, "word": " you", "probability": 0.5830078125}], "temperature": 1.0}, {"id": 21, "seek": 54240, "start": 519.98, "end": 542.4, "text": "تساوي زائد انعلاوة Why plus? Because the light is convergent ويساوي .. ويساوي زائد واحد او خمسة وعشرين صنطي خمسة وعشرين صنطي يعني ربع متر", "tokens": [2655, 3794, 995, 45865, 30767, 16373, 3215, 16472, 3615, 15040, 2407, 3660, 1545, 1804, 30, 1436, 264, 1442, 307, 9652, 6930, 4032, 1829, 3794, 995, 45865, 4386, 4032, 1829, 3794, 995, 45865, 30767, 16373, 3215, 36764, 24401, 1975, 2407, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 20328, 1863, 9566, 1829, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 20328, 1863, 9566, 1829, 37495, 22653, 12602, 3555, 3615, 44650, 2288], "avg_logprob": -0.33494718058008544, "compression_ratio": 1.4489795918367347, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 519.98, "end": 520.88, "word": "تساوي", "probability": 0.624114990234375}, {"start": 520.88, "end": 521.78, "word": " زائد", "probability": 0.81201171875}, {"start": 521.78, "end": 522.86, "word": " انعلاوة", "probability": 0.62958984375}, {"start": 522.86, "end": 523.72, "word": " Why", "probability": 0.126708984375}, {"start": 523.72, "end": 524.14, "word": " plus?", "probability": 0.292236328125}, {"start": 524.34, "end": 524.58, "word": " Because", "probability": 0.86572265625}, {"start": 524.58, "end": 524.82, "word": " the", "probability": 0.5234375}, {"start": 524.82, "end": 524.94, "word": " light", "probability": 0.35693359375}, {"start": 524.94, "end": 525.42, "word": " is", "probability": 0.892578125}, {"start": 525.42, "end": 526.36, "word": " convergent", "probability": 0.951171875}, {"start": 526.36, "end": 529.52, "word": " ويساوي", "probability": 0.763671875}, {"start": 529.52, "end": 529.58, "word": " ..", "probability": 0.16748046875}, {"start": 529.58, "end": 535.28, "word": " ويساوي", "probability": 0.923828125}, {"start": 535.28, "end": 537.4, "word": " زائد", "probability": 0.8816731770833334}, {"start": 537.4, "end": 538.3, "word": " واحد", "probability": 0.95849609375}, {"start": 538.3, "end": 539.1, "word": " او", "probability": 0.6607666015625}, {"start": 539.1, "end": 539.44, "word": " خمسة", "probability": 0.891357421875}, {"start": 539.44, "end": 539.84, "word": " وعشرين", "probability": 0.91845703125}, {"start": 539.84, "end": 540.38, "word": " صنطي", "probability": 0.581298828125}, {"start": 540.38, "end": 540.74, "word": " خمسة", "probability": 0.80230712890625}, {"start": 540.74, "end": 541.06, "word": " وعشرين", "probability": 0.96484375}, {"start": 541.06, "end": 541.42, "word": " صنطي", "probability": 0.9696044921875}, {"start": 541.42, "end": 541.6, "word": " يعني", "probability": 0.8994140625}, {"start": 541.6, "end": 541.9, "word": " ربع", "probability": 0.83935546875}, {"start": 541.9, "end": 542.4, "word": " متر", "probability": 0.9384765625}], "temperature": 1.0}, {"id": 22, "seek": 57820, "start": 549.26, "end": 578.2, "text": "one over a quarter of a meter one over a quarter of a meter and it equals plus four diopters plus four diopters quickly I put on the front of the lens plus four diopters which means that the light", "tokens": [546, 670, 257, 6555, 295, 257, 9255, 472, 670, 257, 6555, 295, 257, 9255, 293, 309, 6915, 1804, 1451, 1026, 404, 1559, 1804, 1451, 1026, 404, 1559, 2661, 286, 829, 322, 264, 1868, 295, 264, 6765, 1804, 1451, 1026, 404, 1559, 597, 1355, 300, 264, 1442], "avg_logprob": -0.4115691565452738, "compression_ratio": 1.849056603773585, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 549.2599999999999, "end": 550.2199999999999, "word": "one", "probability": 0.51708984375}, {"start": 550.2199999999999, "end": 551.18, "word": " over", "probability": 0.496337890625}, {"start": 551.18, "end": 553.14, "word": " a", "probability": 0.2193603515625}, {"start": 553.14, "end": 553.32, "word": " quarter", "probability": 0.900390625}, {"start": 553.32, "end": 553.32, "word": " of", "probability": 0.54052734375}, {"start": 553.32, "end": 553.52, "word": " a", "probability": 0.8974609375}, {"start": 553.52, "end": 553.84, "word": " meter", "probability": 0.90087890625}, {"start": 553.84, "end": 555.08, "word": " one", "probability": 0.4228515625}, {"start": 555.08, "end": 555.54, "word": " over", "probability": 0.91357421875}, {"start": 555.54, "end": 556.12, "word": " a", "probability": 0.982421875}, {"start": 556.12, "end": 556.12, "word": " quarter", "probability": 0.9228515625}, {"start": 556.12, "end": 556.12, "word": " of", "probability": 0.96435546875}, {"start": 556.12, "end": 556.36, "word": " a", "probability": 0.99072265625}, {"start": 556.36, "end": 557.6, "word": " meter", "probability": 0.927734375}, {"start": 557.6, "end": 563.2, "word": " and", "probability": 0.2005615234375}, {"start": 563.2, "end": 563.36, "word": " it", "probability": 0.48974609375}, {"start": 563.36, "end": 563.76, "word": " equals", "probability": 0.435546875}, {"start": 563.76, "end": 564.86, "word": " plus", "probability": 0.7001953125}, {"start": 564.86, "end": 565.52, "word": " four", "probability": 0.8681640625}, {"start": 565.52, "end": 567.8, "word": " diopters", "probability": 0.8308919270833334}, {"start": 567.8, "end": 568.62, "word": " plus", "probability": 0.826171875}, {"start": 568.62, "end": 569.14, "word": " four", "probability": 0.9384765625}, {"start": 569.14, "end": 570.3, "word": " diopters", "probability": 0.9544270833333334}, {"start": 570.3, "end": 571.26, "word": " quickly", "probability": 0.2076416015625}, {"start": 571.26, "end": 572.12, "word": " I", "probability": 0.395263671875}, {"start": 572.12, "end": 572.32, "word": " put", "probability": 0.67333984375}, {"start": 572.32, "end": 572.44, "word": " on", "probability": 0.5322265625}, {"start": 572.44, "end": 572.56, "word": " the", "probability": 0.90380859375}, {"start": 572.56, "end": 573.12, "word": " front", "probability": 0.61083984375}, {"start": 573.12, "end": 573.24, "word": " of", "probability": 0.50830078125}, {"start": 573.24, "end": 573.52, "word": " the", "probability": 0.87646484375}, {"start": 573.52, "end": 573.82, "word": " lens", "probability": 0.57177734375}, {"start": 573.82, "end": 574.86, "word": " plus", "probability": 0.86767578125}, {"start": 574.86, "end": 575.32, "word": " four", "probability": 0.91357421875}, {"start": 575.32, "end": 575.88, "word": " diopters", "probability": 0.9402669270833334}, {"start": 575.88, "end": 576.1, "word": " which", "probability": 0.174560546875}, {"start": 576.1, "end": 576.5, "word": " means", "probability": 0.72265625}, {"start": 576.5, "end": 577.72, "word": " that", "probability": 0.3876953125}, {"start": 577.72, "end": 577.9, "word": " the", "probability": 0.59619140625}, {"start": 577.9, "end": 578.2, "word": " light", "probability": 0.85009765625}], "temperature": 1.0}, {"id": 23, "seek": 58921, "start": 579.99, "end": 589.21, "text": "that the light will collide with the front of the lens which is composed of 4 diodes plus 4 diodes", "tokens": [6780, 264, 1442, 486, 49093, 365, 264, 1868, 295, 264, 6765, 597, 307, 18204, 295, 1017, 1026, 4789, 1804, 1017, 1026, 4789], "avg_logprob": -0.6579483799312426, "compression_ratio": 1.2564102564102564, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 579.99, "end": 580.35, "word": "that", "probability": 0.1697998046875}, {"start": 580.35, "end": 580.45, "word": " the", "probability": 0.68408203125}, {"start": 580.45, "end": 580.65, "word": " light", "probability": 0.78466796875}, {"start": 580.65, "end": 580.95, "word": " will", "probability": 0.68701171875}, {"start": 580.95, "end": 581.39, "word": " collide", "probability": 0.2890625}, {"start": 581.39, "end": 581.57, "word": " with", "probability": 0.466064453125}, {"start": 581.57, "end": 581.69, "word": " the", "probability": 0.80712890625}, {"start": 581.69, "end": 581.83, "word": " front", "probability": 0.459716796875}, {"start": 581.83, "end": 581.83, "word": " of", "probability": 0.1971435546875}, {"start": 581.83, "end": 582.05, "word": " the", "probability": 0.89501953125}, {"start": 582.05, "end": 582.37, "word": " lens", "probability": 0.43212890625}, {"start": 582.37, "end": 583.93, "word": " which", "probability": 0.1373291015625}, {"start": 583.93, "end": 584.31, "word": " is", "probability": 0.73388671875}, {"start": 584.31, "end": 585.23, "word": " composed", "probability": 0.1358642578125}, {"start": 585.23, "end": 585.57, "word": " of", "probability": 0.78564453125}, {"start": 585.57, "end": 586.33, "word": " 4", "probability": 0.60546875}, {"start": 586.33, "end": 586.83, "word": " diodes", "probability": 0.779052734375}, {"start": 586.83, "end": 587.97, "word": " plus", "probability": 0.41943359375}, {"start": 587.97, "end": 588.51, "word": " 4", "probability": 0.8857421875}, {"start": 588.51, "end": 589.21, "word": " diodes", "probability": 0.912353515625}], "temperature": 1.0}, {"id": 24, "seek": 62647, "start": 601.15, "end": 626.47, "text": "ضوق وصل للسطح الأمام من العدسة الصفراء، متجمع بمقدار أربعة ديوبتر، و أضافت قوتها لتجمعه، فتجمع بزيادة، و أضافت قوتها لتجمعه، فتجمع بزيادة، و أضافت قوتها لتجمعه، فتجمع بزيادة، و أضافت قوتها لتجمعه، فتجمع بزيادة، و أضافت قوتها لتجمعه، فتجمع بزيادة، و أضافت قوتها لتجمعه، فتجمع بزيادة، و أضافت قوتها لتجمعه، فتجمع بزيادة، و أض", "tokens": [11242, 2407, 4587, 4032, 36520, 24976, 3794, 9566, 5016, 16247, 2304, 10943, 9154, 18863, 3215, 3794, 3660, 31767, 5172, 2288, 16606, 12399, 44650, 7435, 2304, 3615, 4724, 2304, 28543, 9640, 5551, 25513, 27884, 11778, 1829, 37746, 2655, 2288, 12399, 4032, 5551, 11242, 31845, 2655, 12174, 35473, 11296, 5296, 2655, 7435, 2304, 3615, 3224, 12399, 6156, 2655, 7435, 2304, 3615, 4724, 11622, 1829, 18513, 3660, 12399, 4032, 5551, 11242, 31845, 2655, 12174, 35473, 11296, 5296, 2655, 7435, 2304, 3615, 3224, 12399, 6156, 2655, 7435, 2304, 3615, 4724, 11622, 1829, 18513, 3660, 12399, 4032, 5551, 11242, 31845, 2655, 12174, 35473, 11296, 5296, 2655, 7435, 2304, 3615, 3224, 12399, 6156, 2655, 7435, 2304, 3615, 4724, 11622, 1829, 18513, 3660, 12399, 4032, 5551, 11242, 31845, 2655, 12174, 35473, 11296, 5296, 2655, 7435, 2304, 3615, 3224, 12399, 6156, 2655, 7435, 2304, 3615, 4724, 11622, 1829, 18513, 3660, 12399, 4032, 5551, 11242, 31845, 2655, 12174, 35473, 11296, 5296, 2655, 7435, 2304, 3615, 3224, 12399, 6156, 2655, 7435, 2304, 3615, 4724, 11622, 1829, 18513, 3660, 12399, 4032, 5551, 11242, 31845, 2655, 12174, 35473, 11296, 5296, 2655, 7435, 2304, 3615, 3224, 12399, 6156, 2655, 7435, 2304, 3615, 4724, 11622, 1829, 18513, 3660, 12399, 4032, 5551, 11242, 31845, 2655, 12174, 35473, 11296, 5296, 2655, 7435, 2304, 3615, 3224, 12399, 6156, 2655, 7435, 2304, 3615, 4724, 11622, 1829, 18513, 3660, 12399, 4032, 5551, 11242], "avg_logprob": -0.11034722222222222, "compression_ratio": 4.352941176470588, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 601.15, "end": 601.55, "word": "ضوق", "probability": 0.51153564453125}, {"start": 601.55, "end": 601.87, "word": " وصل", "probability": 0.95556640625}, {"start": 601.87, "end": 602.31, "word": " للسطح", "probability": 0.8350830078125}, {"start": 602.31, "end": 602.77, "word": " الأمام", "probability": 0.9446614583333334}, {"start": 602.77, "end": 602.91, "word": " من", "probability": 0.501953125}, {"start": 602.91, "end": 604.15, "word": " العدسة", "probability": 0.8714599609375}, {"start": 604.15, "end": 605.05, "word": " الصفراء،", "probability": 0.6342041015625}, {"start": 605.05, "end": 605.59, "word": " متجمع", "probability": 0.965087890625}, {"start": 605.59, "end": 606.15, "word": " بمقدار", "probability": 0.97998046875}, {"start": 606.15, "end": 606.55, "word": " أربعة", "probability": 0.7942708333333334}, {"start": 606.55, "end": 607.19, "word": " ديوبتر،", "probability": 0.80712890625}, {"start": 607.19, "end": 607.25, "word": " و", "probability": 0.6455078125}, {"start": 607.25, "end": 607.93, "word": " أضافت", "probability": 0.8763427734375}, {"start": 607.93, "end": 608.29, "word": " قوتها", "probability": 0.7270914713541666}, {"start": 608.29, "end": 609.01, "word": " لتجمعه،", "probability": 0.9257114955357143}, {"start": 609.01, "end": 609.01, "word": " فتجمع", "probability": 0.96416015625}, {"start": 609.01, "end": 609.01, "word": " بزيادة،", "probability": 0.8487955729166666}, {"start": 609.01, "end": 609.01, "word": " و", "probability": 0.1348876953125}, {"start": 609.01, "end": 610.17, "word": " أضافت", "probability": 0.8323974609375}, {"start": 610.17, "end": 610.17, "word": " قوتها", "probability": 0.7401529947916666}, {"start": 610.17, "end": 610.31, "word": " لتجمعه،", "probability": 0.9552873883928571}, {"start": 610.31, "end": 610.43, "word": " فتجمع", "probability": 0.99638671875}, {"start": 610.43, "end": 610.43, "word": " بزيادة،", "probability": 0.9369303385416666}, {"start": 610.43, "end": 610.43, "word": " و", "probability": 0.287841796875}, {"start": 610.43, "end": 610.85, "word": " أضافت", "probability": 0.978515625}, {"start": 610.85, "end": 611.39, "word": " قوتها", "probability": 0.9811197916666666}, {"start": 611.39, "end": 612.39, "word": " لتجمعه،", "probability": 0.9913504464285714}, {"start": 612.39, "end": 613.19, "word": " فتجمع", "probability": 0.9984375}, {"start": 613.19, "end": 614.27, "word": " بزيادة،", "probability": 0.9558919270833334}, {"start": 614.27, "end": 614.65, "word": " و", "probability": 0.482177734375}, {"start": 614.65, "end": 615.49, "word": " أضافت", "probability": 0.9766845703125}, {"start": 615.49, "end": 615.49, "word": " قوتها", "probability": 0.9856770833333334}, {"start": 615.49, "end": 615.49, "word": " لتجمعه،", "probability": 0.9927455357142857}, {"start": 615.49, "end": 615.49, "word": " فتجمع", "probability": 0.9982421875}, {"start": 615.49, "end": 615.87, "word": " بزيادة،", "probability": 0.9593098958333334}, {"start": 615.87, "end": 615.97, "word": " و", "probability": 0.7431640625}, {"start": 615.97, "end": 616.79, "word": " أضافت", "probability": 0.9761962890625}, {"start": 616.79, "end": 617.01, "word": " قوتها", "probability": 0.9856770833333334}, {"start": 617.01, "end": 618.21, "word": " لتجمعه،", "probability": 0.9917689732142857}, {"start": 618.21, "end": 618.21, "word": " فتجمع", "probability": 0.99833984375}, {"start": 618.21, "end": 619.13, "word": " بزيادة،", "probability": 0.964111328125}, {"start": 619.13, "end": 619.13, "word": " و", "probability": 0.85400390625}, {"start": 619.13, "end": 620.59, "word": " أضافت", "probability": 0.9759521484375}, {"start": 620.59, "end": 621.07, "word": " قوتها", "probability": 0.9864908854166666}, {"start": 621.07, "end": 621.95, "word": " لتجمعه،", "probability": 0.9898158482142857}, {"start": 621.95, "end": 622.23, "word": " فتجمع", "probability": 0.9982421875}, {"start": 622.23, "end": 622.99, "word": " بزيادة،", "probability": 0.968994140625}, {"start": 622.99, "end": 623.43, "word": " و", "probability": 0.90966796875}, {"start": 623.43, "end": 623.47, "word": " أضافت", "probability": 0.978271484375}, {"start": 623.47, "end": 623.63, "word": " قوتها", "probability": 0.9873046875}, {"start": 623.63, "end": 624.57, "word": " لتجمعه،", "probability": 0.9884207589285714}, {"start": 624.57, "end": 624.57, "word": " فتجمع", "probability": 0.9974609375}, {"start": 624.57, "end": 624.73, "word": " بزيادة،", "probability": 0.97265625}, {"start": 624.73, "end": 625.35, "word": " و", "probability": 0.93505859375}, {"start": 625.35, "end": 626.47, "word": " أض", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 25, "seek": 65061, "start": 627.43, "end": 650.61, "text": "U plus 4 diopter plus 1 diopter is equal to V so V is equal to plus 5 diopter plus 5 diopter quickly, on the front surface of the lens, sorry the back surface plus 5 diopter, it's like I'm saying that the light", "tokens": [52, 1804, 1017, 1026, 404, 391, 1804, 502, 1026, 404, 391, 307, 2681, 281, 691, 370, 691, 307, 2681, 281, 1804, 1025, 1026, 404, 391, 1804, 1025, 1026, 404, 391, 2661, 11, 322, 264, 1868, 3753, 295, 264, 6765, 11, 2597, 264, 646, 3753, 1804, 1025, 1026, 404, 391, 11, 309, 311, 411, 286, 478, 1566, 300, 264, 1442], "avg_logprob": -0.5057291428248087, "compression_ratio": 1.640625, "no_speech_prob": 0.00015735626220703125, "words": [{"start": 627.43, "end": 627.83, "word": "U", "probability": 0.2342529296875}, {"start": 627.83, "end": 628.17, "word": " plus", "probability": 0.1119384765625}, {"start": 628.17, "end": 628.61, "word": " 4", "probability": 0.57275390625}, {"start": 628.61, "end": 629.21, "word": " diopter", "probability": 0.7242024739583334}, {"start": 629.21, "end": 630.27, "word": " plus", "probability": 0.6943359375}, {"start": 630.27, "end": 631.15, "word": " 1", "probability": 0.583984375}, {"start": 631.15, "end": 631.93, "word": " diopter", "probability": 0.8326822916666666}, {"start": 631.93, "end": 632.75, "word": " is", "probability": 0.234130859375}, {"start": 632.75, "end": 633.21, "word": " equal", "probability": 0.7158203125}, {"start": 633.21, "end": 633.61, "word": " to", "probability": 0.955078125}, {"start": 633.61, "end": 633.97, "word": " V", "probability": 0.88037109375}, {"start": 633.97, "end": 634.97, "word": " so", "probability": 0.1417236328125}, {"start": 634.97, "end": 635.35, "word": " V", "probability": 0.84228515625}, {"start": 635.35, "end": 637.47, "word": " is", "probability": 0.54541015625}, {"start": 637.47, "end": 637.81, "word": " equal", "probability": 0.64892578125}, {"start": 637.81, "end": 638.35, "word": " to", "probability": 0.95654296875}, {"start": 638.35, "end": 638.77, "word": " plus", "probability": 0.78515625}, {"start": 638.77, "end": 639.15, "word": " 5", "probability": 0.931640625}, {"start": 639.15, "end": 639.71, "word": " diopter", "probability": 0.9029947916666666}, {"start": 639.71, "end": 640.03, "word": " plus", "probability": 0.20458984375}, {"start": 640.03, "end": 640.53, "word": " 5", "probability": 0.8515625}, {"start": 640.53, "end": 641.77, "word": " diopter", "probability": 0.9220377604166666}, {"start": 641.77, "end": 642.87, "word": " quickly,", "probability": 0.2041015625}, {"start": 643.25, "end": 643.49, "word": " on", "probability": 0.331787109375}, {"start": 643.49, "end": 643.59, "word": " the", "probability": 0.86767578125}, {"start": 643.59, "end": 644.19, "word": " front", "probability": 0.818359375}, {"start": 644.19, "end": 644.29, "word": " surface", "probability": 0.303955078125}, {"start": 644.29, "end": 644.43, "word": " of", "probability": 0.91650390625}, {"start": 644.43, "end": 644.55, "word": " the", "probability": 0.85888671875}, {"start": 644.55, "end": 644.91, "word": " lens,", "probability": 0.51416015625}, {"start": 645.71, "end": 645.87, "word": " sorry", "probability": 0.4384765625}, {"start": 645.87, "end": 645.89, "word": " the", "probability": 0.319580078125}, {"start": 645.89, "end": 646.37, "word": " back", "probability": 0.583984375}, {"start": 646.37, "end": 646.49, "word": " surface", "probability": 0.68408203125}, {"start": 646.49, "end": 648.07, "word": " plus", "probability": 0.41943359375}, {"start": 648.07, "end": 648.55, "word": " 5", "probability": 0.9296875}, {"start": 648.55, "end": 649.15, "word": " diopter,", "probability": 0.93505859375}, {"start": 649.25, "end": 649.39, "word": " it's", "probability": 0.4049072265625}, {"start": 649.39, "end": 649.53, "word": " like", "probability": 0.75927734375}, {"start": 649.53, "end": 649.83, "word": " I'm", "probability": 0.54638671875}, {"start": 649.83, "end": 650.05, "word": " saying", "probability": 0.80615234375}, {"start": 650.05, "end": 650.25, "word": " that", "probability": 0.60888671875}, {"start": 650.25, "end": 650.43, "word": " the", "probability": 0.55810546875}, {"start": 650.43, "end": 650.61, "word": " light", "probability": 0.85107421875}], "temperature": 1.0}, {"id": 26, "seek": 67911, "start": 651.83, "end": 679.11, "text": "entered with 4 diopters and came out with 5 diopters, which is more than the total because it has been added to the power of the lens as long as it is collected, it will form a real picture where it happens v is equal to i is equal to", "tokens": [317, 4073, 365, 1017, 1026, 404, 1559, 293, 1361, 484, 365, 1025, 1026, 404, 1559, 11, 597, 307, 544, 813, 264, 3217, 570, 309, 575, 668, 3869, 281, 264, 1347, 295, 264, 6765, 382, 938, 382, 309, 307, 1263, 39963, 11, 309, 486, 1254, 257, 957, 3036, 689, 309, 2314, 371, 307, 2681, 281, 741, 307, 2681, 281], "avg_logprob": -0.8204448930287765, "compression_ratio": 1.570469798657718, "no_speech_prob": 8.165836334228516e-06, "words": [{"start": 651.83, "end": 652.33, "word": "entered", "probability": 0.42633056640625}, {"start": 652.33, "end": 652.55, "word": " with", "probability": 0.1728515625}, {"start": 652.55, "end": 653.57, "word": " 4", "probability": 0.311767578125}, {"start": 653.57, "end": 654.45, "word": " diopters", "probability": 0.7737630208333334}, {"start": 654.45, "end": 654.61, "word": " and", "probability": 0.35595703125}, {"start": 654.61, "end": 654.75, "word": " came", "probability": 0.08514404296875}, {"start": 654.75, "end": 655.69, "word": " out", "probability": 0.73486328125}, {"start": 655.69, "end": 656.79, "word": " with", "probability": 0.84423828125}, {"start": 656.79, "end": 657.91, "word": " 5", "probability": 0.91650390625}, {"start": 657.91, "end": 658.53, "word": " diopters,", "probability": 0.9002278645833334}, {"start": 658.63, "end": 658.75, "word": " which", "probability": 0.2381591796875}, {"start": 658.75, "end": 658.75, "word": " is", "probability": 0.5546875}, {"start": 658.75, "end": 659.21, "word": " more", "probability": 0.595703125}, {"start": 659.21, "end": 659.35, "word": " than", "probability": 0.328857421875}, {"start": 659.35, "end": 659.71, "word": " the", "probability": 0.31640625}, {"start": 659.71, "end": 659.71, "word": " total", "probability": 0.205810546875}, {"start": 659.71, "end": 661.47, "word": " because", "probability": 0.1510009765625}, {"start": 661.47, "end": 661.65, "word": " it", "probability": 0.2724609375}, {"start": 661.65, "end": 662.41, "word": " has", "probability": 0.31689453125}, {"start": 662.41, "end": 662.75, "word": " been", "probability": 0.5126953125}, {"start": 662.75, "end": 662.75, "word": " added", "probability": 0.82080078125}, {"start": 662.75, "end": 663.05, "word": " to", "probability": 0.362548828125}, {"start": 663.05, "end": 663.07, "word": " the", "probability": 0.6796875}, {"start": 663.07, "end": 663.27, "word": " power", "probability": 0.1494140625}, {"start": 663.27, "end": 663.53, "word": " of", "probability": 0.9521484375}, {"start": 663.53, "end": 663.67, "word": " the", "probability": 0.77197265625}, {"start": 663.67, "end": 663.97, "word": " lens", "probability": 0.425537109375}, {"start": 663.97, "end": 664.45, "word": " as", "probability": 0.10552978515625}, {"start": 664.45, "end": 664.85, "word": " long", "probability": 0.72216796875}, {"start": 664.85, "end": 664.85, "word": " as", "probability": 0.96240234375}, {"start": 664.85, "end": 664.99, "word": " it", "probability": 0.53955078125}, {"start": 664.99, "end": 665.09, "word": " is", "probability": 0.7646484375}, {"start": 665.09, "end": 665.35, "word": " collected,", "probability": 0.5029144287109375}, {"start": 665.55, "end": 665.69, "word": " it", "probability": 0.6103515625}, {"start": 665.69, "end": 665.87, "word": " will", "probability": 0.7802734375}, {"start": 665.87, "end": 666.17, "word": " form", "probability": 0.6982421875}, {"start": 666.17, "end": 666.53, "word": " a", "probability": 0.93408203125}, {"start": 666.53, "end": 666.87, "word": " real", "probability": 0.79248046875}, {"start": 666.87, "end": 667.09, "word": " picture", "probability": 0.447509765625}, {"start": 667.09, "end": 667.83, "word": " where", "probability": 0.59326171875}, {"start": 667.83, "end": 668.05, "word": " it", "probability": 0.358642578125}, {"start": 668.05, "end": 668.35, "word": " happens", "probability": 0.3759765625}, {"start": 668.35, "end": 668.77, "word": " v", "probability": 0.2132568359375}, {"start": 668.77, "end": 669.05, "word": " is", "probability": 0.2266845703125}, {"start": 669.05, "end": 669.47, "word": " equal", "probability": 0.81005859375}, {"start": 669.47, "end": 671.09, "word": " to", "probability": 0.9150390625}, {"start": 671.09, "end": 671.51, "word": " i", "probability": 0.2117919921875}, {"start": 671.51, "end": 675.75, "word": " is", "probability": 0.1734619140625}, {"start": 675.75, "end": 677.21, "word": " equal", "probability": 0.73779296875}, {"start": 677.21, "end": 679.11, "word": " to", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 27, "seek": 70798, "start": 680.72, "end": 707.98, "text": "ويساوي واحد على plus خمسة ديوبتر ويساوي plus اتنين من عشرة متر اتنين من عشرة متر يعني عشرين سانت يعني عشرين سانت الصورة النهائية الصورة النهائية هتكون عشرين سانت اذا ملاحظين", "tokens": [2407, 1829, 3794, 995, 45865, 36764, 24401, 15844, 1804, 16490, 2304, 3794, 3660, 11778, 1829, 37746, 2655, 2288, 4032, 1829, 3794, 995, 45865, 1804, 1975, 2655, 1863, 9957, 9154, 6225, 8592, 25720, 44650, 2288, 1975, 2655, 1863, 9957, 9154, 6225, 8592, 25720, 44650, 2288, 37495, 22653, 6225, 46309, 9957, 8608, 7649, 2655, 37495, 22653, 6225, 46309, 9957, 8608, 7649, 2655, 31767, 13063, 3660, 28239, 3224, 16373, 10632, 31767, 13063, 3660, 28239, 3224, 16373, 10632, 8032, 2655, 30544, 6225, 46309, 9957, 8608, 7649, 2655, 1975, 15730, 3714, 15040, 5016, 19913, 9957], "avg_logprob": -0.15187156724405812, "compression_ratio": 2.1690140845070425, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 680.72, "end": 681.56, "word": "ويساوي", "probability": 0.6267333984375}, {"start": 681.56, "end": 683.04, "word": " واحد", "probability": 0.808349609375}, {"start": 683.04, "end": 684.32, "word": " على", "probability": 0.58740234375}, {"start": 684.32, "end": 684.84, "word": " plus", "probability": 0.8505859375}, {"start": 684.84, "end": 685.34, "word": " خمسة", "probability": 0.911376953125}, {"start": 685.34, "end": 685.9, "word": " ديوبتر", "probability": 0.82548828125}, {"start": 685.9, "end": 688.9, "word": " ويساوي", "probability": 0.94111328125}, {"start": 688.9, "end": 690.62, "word": " plus", "probability": 0.95751953125}, {"start": 690.62, "end": 691.58, "word": " اتنين", "probability": 0.917236328125}, {"start": 691.58, "end": 691.82, "word": " من", "probability": 0.994140625}, {"start": 691.82, "end": 692.26, "word": " عشرة", "probability": 0.9347330729166666}, {"start": 692.26, "end": 692.72, "word": " متر", "probability": 0.94775390625}, {"start": 692.72, "end": 694.74, "word": " اتنين", "probability": 0.9210205078125}, {"start": 694.74, "end": 695.32, "word": " من", "probability": 0.990234375}, {"start": 695.32, "end": 695.72, "word": " عشرة", "probability": 0.9728190104166666}, {"start": 695.72, "end": 696.18, "word": " متر", "probability": 0.97607421875}, {"start": 696.18, "end": 696.84, "word": " يعني", "probability": 0.837646484375}, {"start": 696.84, "end": 697.38, "word": " عشرين", "probability": 0.8815104166666666}, {"start": 697.38, "end": 697.84, "word": " سانت", "probability": 0.6253255208333334}, {"start": 697.84, "end": 698.16, "word": " يعني", "probability": 0.5927734375}, {"start": 698.16, "end": 698.58, "word": " عشرين", "probability": 0.9205729166666666}, {"start": 698.58, "end": 698.98, "word": " سانت", "probability": 0.9147135416666666}, {"start": 698.98, "end": 699.82, "word": " الصورة", "probability": 0.9010416666666666}, {"start": 699.82, "end": 700.56, "word": " النهائية", "probability": 0.967529296875}, {"start": 700.56, "end": 701.26, "word": " الصورة", "probability": 0.8694661458333334}, {"start": 701.26, "end": 701.92, "word": " النهائية", "probability": 0.9815673828125}, {"start": 701.92, "end": 703.1, "word": " هتكون", "probability": 0.9529622395833334}, {"start": 703.1, "end": 705.46, "word": " عشرين", "probability": 0.9676106770833334}, {"start": 705.46, "end": 706.0, "word": " سانت", "probability": 0.9490559895833334}, {"start": 706.0, "end": 707.18, "word": " اذا", "probability": 0.737060546875}, {"start": 707.18, "end": 707.98, "word": " ملاحظين", "probability": 0.9326171875}], "temperature": 1.0}, {"id": 28, "seek": 73413, "start": 708.93, "end": 734.13, "text": "انا رسمتها باللون الأصفر فقط، يعني صورة العدسة، صورة العدسة التانية، صورة العدسة التانية هتكون على بعد عشرين سانتي من العدسة، الجسم بتاع، بتاع العدسة التانية على بعد خمسة وعشرين سانتي، و الصورة على بعد عشرين سانتي، اذا الصورة أقرب من الجسم، التانين على اليمين، التانين على اليمين، اذا الصورة على بعد", "tokens": [7649, 995, 12602, 38251, 2655, 11296, 20666, 1211, 11536, 16247, 9381, 5172, 2288, 6156, 47432, 12399, 37495, 22653, 20328, 13063, 3660, 18863, 3215, 3794, 3660, 12399, 20328, 13063, 3660, 18863, 3215, 3794, 3660, 16712, 7649, 10632, 12399, 20328, 13063, 3660, 18863, 3215, 3794, 3660, 16712, 7649, 10632, 8032, 2655, 30544, 15844, 39182, 6225, 46309, 9957, 8608, 7649, 31371, 9154, 18863, 3215, 3794, 3660, 12399, 25724, 38251, 39894, 45761, 12399, 39894, 45761, 18863, 3215, 3794, 3660, 16712, 7649, 10632, 15844, 39182, 16490, 2304, 3794, 3660, 4032, 3615, 46309, 9957, 8608, 7649, 31371, 12399, 4032, 31767, 13063, 3660, 15844, 39182, 6225, 46309, 9957, 8608, 7649, 31371, 12399, 1975, 15730, 31767, 13063, 3660, 5551, 4587, 25513, 9154, 25724, 38251, 12399, 16712, 7649, 9957, 15844, 2423, 32640, 9957, 12399, 16712, 7649, 9957, 15844, 2423, 32640, 9957, 12399, 1975, 15730, 31767, 13063, 3660, 15844, 39182], "avg_logprob": -0.13275709769404526, "compression_ratio": 2.863874345549738, "no_speech_prob": 1.329183578491211e-05, "words": [{"start": 708.93, "end": 709.39, "word": "انا", "probability": 0.556243896484375}, {"start": 709.39, "end": 710.03, "word": " رسمتها", "probability": 0.9771728515625}, {"start": 710.03, "end": 710.33, "word": " باللون", "probability": 0.9739583333333334}, {"start": 710.33, "end": 710.83, "word": " الأصفر", "probability": 0.94970703125}, {"start": 710.83, "end": 711.27, "word": " فقط،", "probability": 0.7083740234375}, {"start": 711.27, "end": 711.39, "word": " يعني", "probability": 0.88720703125}, {"start": 711.39, "end": 711.81, "word": " صورة", "probability": 0.9864908854166666}, {"start": 711.81, "end": 712.69, "word": " العدسة،", "probability": 0.8689453125}, {"start": 712.69, "end": 713.85, "word": " صورة", "probability": 0.9728190104166666}, {"start": 713.85, "end": 714.93, "word": " العدسة", "probability": 0.99365234375}, {"start": 714.93, "end": 715.61, "word": " التانية،", "probability": 0.905029296875}, {"start": 715.61, "end": 715.97, "word": " صورة", "probability": 0.96044921875}, {"start": 715.97, "end": 716.45, "word": " العدسة", "probability": 0.994140625}, {"start": 716.45, "end": 716.97, "word": " التانية", "probability": 0.9869791666666666}, {"start": 716.97, "end": 718.05, "word": " هتكون", "probability": 0.8776041666666666}, {"start": 718.05, "end": 719.81, "word": " على", "probability": 0.85498046875}, {"start": 719.81, "end": 720.07, "word": " بعد", "probability": 0.7275390625}, {"start": 720.07, "end": 720.71, "word": " عشرين", "probability": 0.8821614583333334}, {"start": 720.71, "end": 721.25, "word": " سانتي", "probability": 0.6092936197916666}, {"start": 721.25, "end": 721.65, "word": " من", "probability": 0.9921875}, {"start": 721.65, "end": 722.73, "word": " العدسة،", "probability": 0.87236328125}, {"start": 722.73, "end": 723.21, "word": " الجسم", "probability": 0.9404296875}, {"start": 723.21, "end": 723.71, "word": " بتاع،", "probability": 0.8642578125}, {"start": 723.71, "end": 723.97, "word": " بتاع", "probability": 0.9921875}, {"start": 723.97, "end": 724.47, "word": " العدسة", "probability": 0.9967041015625}, {"start": 724.47, "end": 724.75, "word": " التانية", "probability": 0.9866536458333334}, {"start": 724.75, "end": 724.89, "word": " على", "probability": 0.461669921875}, {"start": 724.89, "end": 725.09, "word": " بعد", "probability": 0.90234375}, {"start": 725.09, "end": 725.53, "word": " خمسة", "probability": 0.956298828125}, {"start": 725.53, "end": 725.89, "word": " وعشرين", "probability": 0.9049072265625}, {"start": 725.89, "end": 727.01, "word": " سانتي،", "probability": 0.8809814453125}, {"start": 727.01, "end": 727.11, "word": " و", "probability": 0.59423828125}, {"start": 727.11, "end": 727.55, "word": " الصورة", "probability": 0.9347330729166666}, {"start": 727.55, "end": 727.67, "word": " على", "probability": 0.73583984375}, {"start": 727.67, "end": 727.85, "word": " بعد", "probability": 0.912109375}, {"start": 727.85, "end": 728.27, "word": " عشرين", "probability": 0.97314453125}, {"start": 728.27, "end": 728.65, "word": " سانتي،", "probability": 0.9501953125}, {"start": 728.65, "end": 728.73, "word": " اذا", "probability": 0.741943359375}, {"start": 728.73, "end": 729.29, "word": " الصورة", "probability": 0.9767252604166666}, {"start": 729.29, "end": 729.69, "word": " أقرب", "probability": 0.88623046875}, {"start": 729.69, "end": 729.87, "word": " من", "probability": 0.99072265625}, {"start": 729.87, "end": 730.29, "word": " الجسم،", "probability": 0.9728190104166666}, {"start": 730.29, "end": 730.63, "word": " التانين", "probability": 0.6884765625}, {"start": 730.63, "end": 730.89, "word": " على", "probability": 0.9658203125}, {"start": 730.89, "end": 731.93, "word": " اليمين،", "probability": 0.85888671875}, {"start": 731.93, "end": 732.33, "word": " التانين", "probability": 0.9671223958333334}, {"start": 732.33, "end": 732.51, "word": " على", "probability": 0.97216796875}, {"start": 732.51, "end": 732.99, "word": " اليمين،", "probability": 0.88623046875}, {"start": 732.99, "end": 733.11, "word": " اذا", "probability": 0.9619140625}, {"start": 733.11, "end": 733.55, "word": " الصورة", "probability": 0.9879557291666666}, {"start": 733.55, "end": 733.71, "word": " على", "probability": 0.982421875}, {"start": 733.71, "end": 734.13, "word": " بعد", "probability": 0.8583984375}], "temperature": 1.0}, {"id": 29, "seek": 76609, "start": 738.55, "end": 766.09, "text": "2 from 10 meters to the right, plus of course Ok, let's get the TM2 TM2, the magnification equals U over V equals U plus 4 diopters and V plus 5 diopters", "tokens": [17, 490, 1266, 8146, 281, 264, 558, 11, 1804, 295, 1164, 3477, 11, 718, 311, 483, 264, 33550, 17, 33550, 17, 11, 264, 4944, 3774, 6915, 624, 670, 691, 6915, 624, 1804, 1017, 1026, 404, 1559, 293, 691, 1804, 1025, 1026, 404, 1559], "avg_logprob": -0.43750000474127854, "compression_ratio": 1.3189655172413792, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 738.55, "end": 739.07, "word": "2", "probability": 0.47509765625}, {"start": 739.07, "end": 739.29, "word": " from", "probability": 0.469970703125}, {"start": 739.29, "end": 739.59, "word": " 10", "probability": 0.83642578125}, {"start": 739.59, "end": 740.01, "word": " meters", "probability": 0.61279296875}, {"start": 740.01, "end": 740.15, "word": " to", "probability": 0.8486328125}, {"start": 740.15, "end": 740.31, "word": " the", "probability": 0.84228515625}, {"start": 740.31, "end": 740.55, "word": " right,", "probability": 0.9052734375}, {"start": 740.71, "end": 740.93, "word": " plus", "probability": 0.69677734375}, {"start": 740.93, "end": 741.21, "word": " of", "probability": 0.7431640625}, {"start": 741.21, "end": 741.45, "word": " course", "probability": 0.9365234375}, {"start": 741.45, "end": 742.35, "word": " Ok,", "probability": 0.12091064453125}, {"start": 742.45, "end": 742.69, "word": " let's", "probability": 0.70703125}, {"start": 742.69, "end": 742.85, "word": " get", "probability": 0.413818359375}, {"start": 742.85, "end": 743.01, "word": " the", "probability": 0.63916015625}, {"start": 743.01, "end": 743.77, "word": " TM2", "probability": 0.7373046875}, {"start": 743.77, "end": 753.89, "word": " TM2,", "probability": 0.7119140625}, {"start": 754.03, "end": 754.13, "word": " the", "probability": 0.46728515625}, {"start": 754.13, "end": 754.57, "word": " magnification", "probability": 0.5260009765625}, {"start": 754.57, "end": 757.05, "word": " equals", "probability": 0.2220458984375}, {"start": 757.05, "end": 757.71, "word": " U", "probability": 0.68994140625}, {"start": 757.71, "end": 757.97, "word": " over", "probability": 0.50634765625}, {"start": 757.97, "end": 758.33, "word": " V", "probability": 0.98095703125}, {"start": 758.33, "end": 760.57, "word": " equals", "probability": 0.5078125}, {"start": 760.57, "end": 761.65, "word": " U", "probability": 0.8935546875}, {"start": 761.65, "end": 761.97, "word": " plus", "probability": 0.90087890625}, {"start": 761.97, "end": 762.37, "word": " 4", "probability": 0.7587890625}, {"start": 762.37, "end": 762.95, "word": " diopters", "probability": 0.76904296875}, {"start": 762.95, "end": 763.61, "word": " and", "probability": 0.59375}, {"start": 763.61, "end": 763.95, "word": " V", "probability": 0.97216796875}, {"start": 763.95, "end": 764.53, "word": " plus", "probability": 0.94482421875}, {"start": 764.53, "end": 765.09, "word": " 5", "probability": 0.9814453125}, {"start": 765.09, "end": 766.09, "word": " diopters", "probability": 0.9560546875}], "temperature": 1.0}, {"id": 30, "seek": 79248, "start": 767.2, "end": 792.48, "text": "So, plus four is better than plus five, which is better and is equal to x plus eight out of ten. What does x plus eight out of ten mean? The picture is regular. Regular. What does regular mean? Like its object.", "tokens": [6455, 11, 1804, 1451, 307, 1101, 813, 1804, 1732, 11, 597, 307, 1101, 293, 307, 2681, 281, 2031, 1804, 3180, 484, 295, 2064, 13, 708, 775, 2031, 1804, 3180, 484, 295, 2064, 914, 30, 440, 3036, 307, 3890, 13, 45659, 13, 708, 775, 3890, 914, 30, 1743, 1080, 2657, 13], "avg_logprob": -0.4577205753793903, "compression_ratio": 1.5909090909090908, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 767.2, "end": 767.64, "word": "So,", "probability": 0.1968994140625}, {"start": 767.98, "end": 768.34, "word": " plus", "probability": 0.248779296875}, {"start": 768.34, "end": 768.92, "word": " four", "probability": 0.60400390625}, {"start": 768.92, "end": 770.6, "word": " is", "probability": 0.37841796875}, {"start": 770.6, "end": 770.98, "word": " better", "probability": 0.3701171875}, {"start": 770.98, "end": 771.34, "word": " than", "probability": 0.87255859375}, {"start": 771.34, "end": 772.32, "word": " plus", "probability": 0.876953125}, {"start": 772.32, "end": 772.82, "word": " five,", "probability": 0.90576171875}, {"start": 772.94, "end": 773.06, "word": " which", "probability": 0.373291015625}, {"start": 773.06, "end": 773.14, "word": " is", "probability": 0.8876953125}, {"start": 773.14, "end": 773.46, "word": " better", "probability": 0.71923828125}, {"start": 773.46, "end": 774.2, "word": " and", "probability": 0.525390625}, {"start": 774.2, "end": 774.34, "word": " is", "probability": 0.256103515625}, {"start": 774.34, "end": 774.72, "word": " equal", "probability": 0.84228515625}, {"start": 774.72, "end": 776.16, "word": " to", "probability": 0.908203125}, {"start": 776.16, "end": 776.54, "word": " x", "probability": 0.73974609375}, {"start": 776.54, "end": 778.4, "word": " plus", "probability": 0.92333984375}, {"start": 778.4, "end": 781.5, "word": " eight", "probability": 0.3818359375}, {"start": 781.5, "end": 781.88, "word": " out", "probability": 0.431640625}, {"start": 781.88, "end": 781.92, "word": " of", "probability": 0.97412109375}, {"start": 781.92, "end": 782.2, "word": " ten.", "probability": 0.93408203125}, {"start": 783.78, "end": 784.5, "word": " What", "probability": 0.5888671875}, {"start": 784.5, "end": 784.66, "word": " does", "probability": 0.8232421875}, {"start": 784.66, "end": 785.02, "word": " x", "probability": 0.837890625}, {"start": 785.02, "end": 785.38, "word": " plus", "probability": 0.93505859375}, {"start": 785.38, "end": 785.74, "word": " eight", "probability": 0.88037109375}, {"start": 785.74, "end": 785.98, "word": " out", "probability": 0.65869140625}, {"start": 785.98, "end": 786.0, "word": " of", "probability": 0.9716796875}, {"start": 786.0, "end": 786.24, "word": " ten", "probability": 0.92333984375}, {"start": 786.24, "end": 786.24, "word": " mean?", "probability": 0.92138671875}, {"start": 786.62, "end": 786.82, "word": " The", "probability": 0.607421875}, {"start": 786.82, "end": 787.12, "word": " picture", "probability": 0.427978515625}, {"start": 787.12, "end": 787.32, "word": " is", "probability": 0.896484375}, {"start": 787.32, "end": 787.88, "word": " regular.", "probability": 0.372802734375}, {"start": 788.56, "end": 789.26, "word": " Regular.", "probability": 0.7158203125}, {"start": 790.0, "end": 790.36, "word": " What", "probability": 0.82177734375}, {"start": 790.36, "end": 790.52, "word": " does", "probability": 0.89013671875}, {"start": 790.52, "end": 790.94, "word": " regular", "probability": 0.77490234375}, {"start": 790.94, "end": 791.08, "word": " mean?", "probability": 0.9560546875}, {"start": 791.4, "end": 791.76, "word": " Like", "probability": 0.30224609375}, {"start": 791.76, "end": 792.02, "word": " its", "probability": 0.45703125}, {"start": 792.02, "end": 792.48, "word": " object.", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 31, "seek": 80884, "start": 793.6, "end": 808.84, "text": "إذا هو تحت ال optical axis، هي تحت ال optical axis، إذا هو فوق ال optical axis، معناته هي فوق ال optical axis، فبالتالي معتدلا، انشوف هذا الكلام، هاي الصورة، هاي الصورة", "tokens": [28814, 15730, 31439, 6055, 33753, 2423, 20674, 10298, 12399, 39896, 6055, 33753, 2423, 20674, 10298, 12399, 11933, 15730, 31439, 6156, 30543, 2423, 20674, 10298, 12399, 20449, 8315, 47395, 39896, 6156, 30543, 2423, 20674, 10298, 12399, 6156, 3555, 6027, 2655, 6027, 1829, 20449, 2655, 3215, 15040, 12399, 16472, 8592, 38688, 23758, 2423, 28820, 10943, 12399, 8032, 47302, 31767, 13063, 3660, 12399, 8032, 47302, 31767, 13063, 3660], "avg_logprob": -0.16832386002396094, "compression_ratio": 1.9477611940298507, "no_speech_prob": 1.0609626770019531e-05, "words": [{"start": 793.6, "end": 793.96, "word": "إذا", "probability": 0.520721435546875}, {"start": 793.96, "end": 794.14, "word": " هو", "probability": 0.97509765625}, {"start": 794.14, "end": 794.46, "word": " تحت", "probability": 0.958984375}, {"start": 794.46, "end": 794.58, "word": " ال", "probability": 0.984375}, {"start": 794.58, "end": 794.86, "word": " optical", "probability": 0.53955078125}, {"start": 794.86, "end": 795.84, "word": " axis،", "probability": 0.634033203125}, {"start": 795.84, "end": 796.12, "word": " هي", "probability": 0.86962890625}, {"start": 796.12, "end": 796.48, "word": " تحت", "probability": 0.993408203125}, {"start": 796.48, "end": 796.6, "word": " ال", "probability": 0.9951171875}, {"start": 796.6, "end": 796.9, "word": " optical", "probability": 0.98583984375}, {"start": 796.9, "end": 797.68, "word": " axis،", "probability": 0.7666015625}, {"start": 797.68, "end": 797.92, "word": " إذا", "probability": 0.93408203125}, {"start": 797.92, "end": 798.22, "word": " هو", "probability": 0.9931640625}, {"start": 798.22, "end": 798.56, "word": " فوق", "probability": 0.98876953125}, {"start": 798.56, "end": 798.66, "word": " ال", "probability": 0.99560546875}, {"start": 798.66, "end": 799.02, "word": " optical", "probability": 0.99072265625}, {"start": 799.02, "end": 800.08, "word": " axis،", "probability": 0.977294921875}, {"start": 800.08, "end": 800.44, "word": " معناته", "probability": 0.7916666666666666}, {"start": 800.44, "end": 800.68, "word": " هي", "probability": 0.8720703125}, {"start": 800.68, "end": 801.02, "word": " فوق", "probability": 0.99267578125}, {"start": 801.02, "end": 801.14, "word": " ال", "probability": 0.99609375}, {"start": 801.14, "end": 801.54, "word": " optical", "probability": 0.98974609375}, {"start": 801.54, "end": 802.46, "word": " axis،", "probability": 0.8046875}, {"start": 802.46, "end": 803.16, "word": " فبالتالي", "probability": 0.9775390625}, {"start": 803.16, "end": 804.06, "word": " معتدلا،", "probability": 0.76611328125}, {"start": 804.06, "end": 804.64, "word": " انشوف", "probability": 0.7080078125}, {"start": 804.64, "end": 805.88, "word": " هذا", "probability": 0.8212890625}, {"start": 805.88, "end": 806.96, "word": " الكلام،", "probability": 0.9730224609375}, {"start": 806.96, "end": 807.14, "word": " هاي", "probability": 0.661376953125}, {"start": 807.14, "end": 808.08, "word": " الصورة،", "probability": 0.9647216796875}, {"start": 808.08, "end": 808.32, "word": " هاي", "probability": 0.878662109375}, {"start": 808.32, "end": 808.84, "word": " الصورة", "probability": 0.9894205729166666}], "temperature": 1.0}, {"id": 32, "seek": 82679, "start": 811.21, "end": 826.79, "text": "like its object, which is drawn in two colors, which is drawn in two colors and shorter than it or eight-tenths of it, four-fifths of its length, if it is ten centimeters, it is eight centimeters, eight out of ten, look at the TM total", "tokens": [4092, 1080, 2657, 11, 597, 307, 10117, 294, 732, 4577, 11, 597, 307, 10117, 294, 732, 4577, 293, 11639, 813, 309, 420, 3180, 12, 83, 17966, 82, 295, 309, 11, 1451, 12, 69, 351, 32184, 295, 1080, 4641, 11, 498, 309, 307, 2064, 23300, 11, 309, 307, 3180, 23300, 11, 3180, 484, 295, 2064, 11, 574, 412, 264, 33550, 3217], "avg_logprob": -0.4628586085116277, "compression_ratio": 1.6906474820143884, "no_speech_prob": 2.2351741790771484e-05, "words": [{"start": 811.21, "end": 811.65, "word": "like", "probability": 0.1500244140625}, {"start": 811.65, "end": 812.05, "word": " its", "probability": 0.2403564453125}, {"start": 812.05, "end": 812.47, "word": " object,", "probability": 0.94287109375}, {"start": 812.95, "end": 813.77, "word": " which", "probability": 0.501953125}, {"start": 813.77, "end": 813.95, "word": " is", "probability": 0.8154296875}, {"start": 813.95, "end": 814.39, "word": " drawn", "probability": 0.5751953125}, {"start": 814.39, "end": 815.03, "word": " in", "probability": 0.640625}, {"start": 815.03, "end": 815.35, "word": " two", "probability": 0.568359375}, {"start": 815.35, "end": 815.35, "word": " colors,", "probability": 0.72119140625}, {"start": 815.51, "end": 815.53, "word": " which", "probability": 0.1650390625}, {"start": 815.53, "end": 815.69, "word": " is", "probability": 0.9267578125}, {"start": 815.69, "end": 816.01, "word": " drawn", "probability": 0.90283203125}, {"start": 816.01, "end": 816.73, "word": " in", "probability": 0.90087890625}, {"start": 816.73, "end": 817.17, "word": " two", "probability": 0.92626953125}, {"start": 817.17, "end": 817.17, "word": " colors", "probability": 0.9111328125}, {"start": 817.17, "end": 817.71, "word": " and", "probability": 0.484375}, {"start": 817.71, "end": 818.21, "word": " shorter", "probability": 0.5537109375}, {"start": 818.21, "end": 818.45, "word": " than", "probability": 0.87255859375}, {"start": 818.45, "end": 818.57, "word": " it", "probability": 0.78369140625}, {"start": 818.57, "end": 818.79, "word": " or", "probability": 0.67724609375}, {"start": 818.79, "end": 819.19, "word": " eight", "probability": 0.625}, {"start": 819.19, "end": 819.79, "word": "-tenths", "probability": 0.659881591796875}, {"start": 819.79, "end": 819.87, "word": " of", "probability": 0.449462890625}, {"start": 819.87, "end": 819.87, "word": " it,", "probability": 0.7607421875}, {"start": 820.03, "end": 820.29, "word": " four", "probability": 0.85693359375}, {"start": 820.29, "end": 820.85, "word": "-fifths", "probability": 0.837646484375}, {"start": 820.85, "end": 820.85, "word": " of", "probability": 0.66748046875}, {"start": 820.85, "end": 821.21, "word": " its", "probability": 0.7685546875}, {"start": 821.21, "end": 821.21, "word": " length,", "probability": 0.8291015625}, {"start": 821.75, "end": 822.01, "word": " if", "probability": 0.826171875}, {"start": 822.01, "end": 822.21, "word": " it", "probability": 0.94140625}, {"start": 822.21, "end": 822.29, "word": " is", "probability": 0.7373046875}, {"start": 822.29, "end": 822.55, "word": " ten", "probability": 0.7470703125}, {"start": 822.55, "end": 823.01, "word": " centimeters,", "probability": 0.7548828125}, {"start": 823.07, "end": 823.27, "word": " it", "probability": 0.85791015625}, {"start": 823.27, "end": 823.39, "word": " is", "probability": 0.90966796875}, {"start": 823.39, "end": 823.79, "word": " eight", "probability": 0.8720703125}, {"start": 823.79, "end": 824.47, "word": " centimeters,", "probability": 0.85498046875}, {"start": 824.63, "end": 824.85, "word": " eight", "probability": 0.79296875}, {"start": 824.85, "end": 825.27, "word": " out", "probability": 0.278076171875}, {"start": 825.27, "end": 825.27, "word": " of", "probability": 0.9765625}, {"start": 825.27, "end": 825.51, "word": " ten,", "probability": 0.921875}, {"start": 825.63, "end": 825.87, "word": " look", "probability": 0.50390625}, {"start": 825.87, "end": 826.01, "word": " at", "probability": 0.84814453125}, {"start": 826.01, "end": 826.09, "word": " the", "probability": 0.71728515625}, {"start": 826.09, "end": 826.31, "word": " TM", "probability": 0.292236328125}, {"start": 826.31, "end": 826.79, "word": " total", "probability": 0.62353515625}], "temperature": 1.0}, {"id": 33, "seek": 88366, "start": 856.98, "end": 883.66, "text": "It is equal to Tm1 times Tm2 minus half multiplied by plus eight tenths It is equal to x minus minus multiplied by plus multiplied by minus and half multiplied by eight tenths gives me four tenths So the final multiplication", "tokens": [3522, 307, 2681, 281, 314, 76, 16, 1413, 314, 76, 17, 3175, 1922, 17207, 538, 1804, 3180, 27269, 82, 467, 307, 2681, 281, 2031, 3175, 3175, 17207, 538, 1804, 17207, 538, 3175, 293, 1922, 17207, 538, 3180, 27269, 82, 2709, 385, 1451, 27269, 82, 407, 264, 2572, 27290], "avg_logprob": -0.5736607337484554, "compression_ratio": 1.8512396694214877, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 856.98, "end": 857.2, "word": "It", "probability": 0.058502197265625}, {"start": 857.2, "end": 857.38, "word": " is", "probability": 0.35986328125}, {"start": 857.38, "end": 857.64, "word": " equal", "probability": 0.72509765625}, {"start": 857.64, "end": 858.12, "word": " to", "probability": 0.92822265625}, {"start": 858.12, "end": 858.78, "word": " Tm1", "probability": 0.4093017578125}, {"start": 858.78, "end": 858.94, "word": " times", "probability": 0.103515625}, {"start": 858.94, "end": 859.64, "word": " Tm2", "probability": 0.978515625}, {"start": 859.64, "end": 860.84, "word": " minus", "probability": 0.70849609375}, {"start": 860.84, "end": 861.4, "word": " half", "probability": 0.587890625}, {"start": 861.4, "end": 865.08, "word": " multiplied", "probability": 0.1619873046875}, {"start": 865.08, "end": 865.5, "word": " by", "probability": 0.9189453125}, {"start": 865.5, "end": 867.0, "word": " plus", "probability": 0.67626953125}, {"start": 867.0, "end": 867.58, "word": " eight", "probability": 0.669921875}, {"start": 867.58, "end": 871.08, "word": " tenths", "probability": 0.5902099609375}, {"start": 871.08, "end": 871.24, "word": " It", "probability": 0.286376953125}, {"start": 871.24, "end": 871.38, "word": " is", "probability": 0.88671875}, {"start": 871.38, "end": 871.72, "word": " equal", "probability": 0.83056640625}, {"start": 871.72, "end": 873.12, "word": " to", "probability": 0.966796875}, {"start": 873.12, "end": 874.98, "word": " x", "probability": 0.50732421875}, {"start": 874.98, "end": 875.94, "word": " minus", "probability": 0.95361328125}, {"start": 875.94, "end": 876.46, "word": " minus", "probability": 0.184814453125}, {"start": 876.46, "end": 876.76, "word": " multiplied", "probability": 0.6220703125}, {"start": 876.76, "end": 876.76, "word": " by", "probability": 0.95703125}, {"start": 876.76, "end": 877.02, "word": " plus", "probability": 0.9033203125}, {"start": 877.02, "end": 877.18, "word": " multiplied", "probability": 0.69140625}, {"start": 877.18, "end": 877.18, "word": " by", "probability": 0.9794921875}, {"start": 877.18, "end": 877.6, "word": " minus", "probability": 0.98779296875}, {"start": 877.6, "end": 878.28, "word": " and", "probability": 0.449951171875}, {"start": 878.28, "end": 878.6, "word": " half", "probability": 0.6201171875}, {"start": 878.6, "end": 878.8, "word": " multiplied", "probability": 0.5947265625}, {"start": 878.8, "end": 878.8, "word": " by", "probability": 0.96484375}, {"start": 878.8, "end": 879.12, "word": " eight", "probability": 0.849609375}, {"start": 879.12, "end": 879.7, "word": " tenths", "probability": 0.86767578125}, {"start": 879.7, "end": 879.96, "word": " gives", "probability": 0.1929931640625}, {"start": 879.96, "end": 880.34, "word": " me", "probability": 0.363525390625}, {"start": 880.34, "end": 880.64, "word": " four", "probability": 0.88916015625}, {"start": 880.64, "end": 881.5, "word": " tenths", "probability": 0.89990234375}, {"start": 881.5, "end": 882.98, "word": " So", "probability": 0.333740234375}, {"start": 882.98, "end": 883.24, "word": " the", "probability": 0.533203125}, {"start": 883.24, "end": 883.32, "word": " final", "probability": 0.705078125}, {"start": 883.32, "end": 883.66, "word": " multiplication", "probability": 0.1348876953125}], "temperature": 1.0}, {"id": 34, "seek": 90713, "start": 885.87, "end": 907.13, "text": "The final exponent is x minus four out of ten. Why x minus four out of ten? Because this doesn't have a need. And this doesn't have a need. Now I have completed the problem. This is the first picture, which is the dimensions.", "tokens": [2278, 2572, 37871, 307, 2031, 3175, 1451, 484, 295, 2064, 13, 1545, 2031, 3175, 1451, 484, 295, 2064, 30, 1436, 341, 1177, 380, 362, 257, 643, 13, 400, 341, 1177, 380, 362, 257, 643, 13, 823, 286, 362, 7365, 264, 1154, 13, 639, 307, 264, 700, 3036, 11, 597, 307, 264, 12819, 13], "avg_logprob": -0.5130208498901792, "compression_ratio": 1.5845070422535212, "no_speech_prob": 3.993511199951172e-06, "words": [{"start": 885.87, "end": 886.21, "word": "The", "probability": 0.190673828125}, {"start": 886.21, "end": 886.23, "word": " final", "probability": 0.5888671875}, {"start": 886.23, "end": 886.63, "word": " exponent", "probability": 0.11737060546875}, {"start": 886.63, "end": 887.51, "word": " is", "probability": 0.325927734375}, {"start": 887.51, "end": 894.27, "word": " x", "probability": 0.6044921875}, {"start": 894.27, "end": 894.77, "word": " minus", "probability": 0.460205078125}, {"start": 894.77, "end": 895.21, "word": " four", "probability": 0.6083984375}, {"start": 895.21, "end": 895.43, "word": " out", "probability": 0.271484375}, {"start": 895.43, "end": 895.43, "word": " of", "probability": 0.970703125}, {"start": 895.43, "end": 895.67, "word": " ten.", "probability": 0.91015625}, {"start": 895.75, "end": 895.93, "word": " Why", "probability": 0.408203125}, {"start": 895.93, "end": 896.27, "word": " x", "probability": 0.431640625}, {"start": 896.27, "end": 896.61, "word": " minus", "probability": 0.9140625}, {"start": 896.61, "end": 896.99, "word": " four", "probability": 0.87890625}, {"start": 896.99, "end": 897.19, "word": " out", "probability": 0.7783203125}, {"start": 897.19, "end": 897.23, "word": " of", "probability": 0.9755859375}, {"start": 897.23, "end": 897.57, "word": " ten?", "probability": 0.9189453125}, {"start": 897.93, "end": 898.23, "word": " Because", "probability": 0.8193359375}, {"start": 898.23, "end": 898.47, "word": " this", "probability": 0.556640625}, {"start": 898.47, "end": 898.81, "word": " doesn't", "probability": 0.6595458984375}, {"start": 898.81, "end": 899.17, "word": " have", "probability": 0.625}, {"start": 899.17, "end": 899.27, "word": " a", "probability": 0.4697265625}, {"start": 899.27, "end": 899.53, "word": " need.", "probability": 0.170166015625}, {"start": 900.67, "end": 900.89, "word": " And", "probability": 0.6708984375}, {"start": 900.89, "end": 901.11, "word": " this", "probability": 0.8720703125}, {"start": 901.11, "end": 901.23, "word": " doesn't", "probability": 0.879638671875}, {"start": 901.23, "end": 901.45, "word": " have", "probability": 0.89697265625}, {"start": 901.45, "end": 901.69, "word": " a", "probability": 0.97802734375}, {"start": 901.69, "end": 901.99, "word": " need.", "probability": 0.962890625}, {"start": 903.17, "end": 903.51, "word": " Now", "probability": 0.62841796875}, {"start": 903.51, "end": 903.81, "word": " I", "probability": 0.60009765625}, {"start": 903.81, "end": 904.29, "word": " have", "probability": 0.53955078125}, {"start": 904.29, "end": 904.29, "word": " completed", "probability": 0.292724609375}, {"start": 904.29, "end": 904.67, "word": " the", "probability": 0.6767578125}, {"start": 904.67, "end": 905.03, "word": " problem.", "probability": 0.408203125}, {"start": 905.43, "end": 905.71, "word": " This", "probability": 0.6826171875}, {"start": 905.71, "end": 905.79, "word": " is", "probability": 0.92822265625}, {"start": 905.79, "end": 906.15, "word": " the", "probability": 0.89404296875}, {"start": 906.15, "end": 906.39, "word": " first", "probability": 0.865234375}, {"start": 906.39, "end": 906.39, "word": " picture,", "probability": 0.50146484375}, {"start": 906.67, "end": 906.73, "word": " which", "probability": 0.76318359375}, {"start": 906.73, "end": 906.85, "word": " is", "probability": 0.8291015625}, {"start": 906.85, "end": 906.93, "word": " the", "probability": 0.5673828125}, {"start": 906.93, "end": 907.13, "word": " dimensions.", "probability": 0.8818359375}], "temperature": 1.0}, {"id": 35, "seek": 91430, "start": 910.92, "end": 914.3, "text": "virtual object for the second lens which is the final image", "tokens": [85, 2498, 901, 2657, 337, 264, 1150, 6765, 597, 307, 264, 2572, 3256], "avg_logprob": -0.7979910714285714, "compression_ratio": 0.9833333333333333, "no_speech_prob": 0.0007605552673339844, "words": [{"start": 910.92, "end": 911.28, "word": "virtual", "probability": 0.6680196126302084}, {"start": 911.28, "end": 911.64, "word": " object", "probability": 0.90869140625}, {"start": 911.64, "end": 911.82, "word": " for", "probability": 0.427001953125}, {"start": 911.82, "end": 911.9, "word": " the", "probability": 0.5830078125}, {"start": 911.9, "end": 912.52, "word": " second", "probability": 0.348876953125}, {"start": 912.52, "end": 912.56, "word": " lens", "probability": 0.62646484375}, {"start": 912.56, "end": 912.68, "word": " which", "probability": 0.163818359375}, {"start": 912.68, "end": 912.82, "word": " is", "probability": 0.90625}, {"start": 912.82, "end": 912.92, "word": " the", "probability": 0.7470703125}, {"start": 912.92, "end": 913.94, "word": " final", "probability": 0.458984375}, {"start": 913.94, "end": 914.3, "word": " image", "probability": 0.5029296875}], "temperature": 1.0}, {"id": 36, "seek": 94534, "start": 919.82, "end": 945.34, "text": "So, the final magnification, which is the last image, is inverted for the original body, and four tenths. So, if it is ten centimeters high, it will be four centimeters high. Four centimeters high. So, this issue should be clear to me. Some questions may arise, especially in exams. For example, the distance between the original body", "tokens": [6455, 11, 264, 2572, 4944, 3774, 11, 597, 307, 264, 1036, 3256, 11, 307, 38969, 337, 264, 3380, 1772, 11, 293, 1451, 27269, 82, 13, 407, 11, 498, 309, 307, 2064, 23300, 1090, 11, 309, 486, 312, 1451, 23300, 1090, 13, 7451, 23300, 1090, 13, 407, 11, 341, 2734, 820, 312, 1850, 281, 385, 13, 2188, 1651, 815, 20288, 11, 2318, 294, 20514, 13, 1171, 1365, 11, 264, 4560, 1296, 264, 3380, 1772], "avg_logprob": -0.5206925804550583, "compression_ratio": 1.7395833333333333, "no_speech_prob": 8.702278137207031e-06, "words": [{"start": 919.82, "end": 920.32, "word": "So,", "probability": 0.3740234375}, {"start": 920.32, "end": 920.82, "word": " the", "probability": 0.473388671875}, {"start": 920.82, "end": 920.88, "word": " final", "probability": 0.6923828125}, {"start": 920.88, "end": 921.5, "word": " magnification,", "probability": 0.6287841796875}, {"start": 921.88, "end": 921.88, "word": " which", "probability": 0.708984375}, {"start": 921.88, "end": 922.0, "word": " is", "probability": 0.9091796875}, {"start": 922.0, "end": 922.12, "word": " the", "probability": 0.82666015625}, {"start": 922.12, "end": 922.64, "word": " last", "probability": 0.67919921875}, {"start": 922.64, "end": 922.78, "word": " image,", "probability": 0.357666015625}, {"start": 922.9, "end": 923.06, "word": " is", "probability": 0.4775390625}, {"start": 923.06, "end": 923.36, "word": " inverted", "probability": 0.208984375}, {"start": 923.36, "end": 923.84, "word": " for", "probability": 0.265625}, {"start": 923.84, "end": 924.14, "word": " the", "probability": 0.8974609375}, {"start": 924.14, "end": 925.16, "word": " original", "probability": 0.88330078125}, {"start": 925.16, "end": 925.16, "word": " body,", "probability": 0.71337890625}, {"start": 925.3, "end": 925.34, "word": " and", "probability": 0.49267578125}, {"start": 925.34, "end": 925.7, "word": " four", "probability": 0.515625}, {"start": 925.7, "end": 926.36, "word": " tenths.", "probability": 0.669921875}, {"start": 926.58, "end": 926.78, "word": " So,", "probability": 0.32275390625}, {"start": 926.9, "end": 926.94, "word": " if", "probability": 0.908203125}, {"start": 926.94, "end": 927.1, "word": " it", "probability": 0.88525390625}, {"start": 927.1, "end": 927.16, "word": " is", "probability": 0.6220703125}, {"start": 927.16, "end": 927.42, "word": " ten", "probability": 0.58837890625}, {"start": 927.42, "end": 927.9, "word": " centimeters", "probability": 0.6669921875}, {"start": 927.9, "end": 928.3, "word": " high,", "probability": 0.6513671875}, {"start": 928.46, "end": 928.58, "word": " it", "probability": 0.8173828125}, {"start": 928.58, "end": 928.78, "word": " will", "probability": 0.76953125}, {"start": 928.78, "end": 929.06, "word": " be", "probability": 0.9306640625}, {"start": 929.06, "end": 929.46, "word": " four", "probability": 0.8701171875}, {"start": 929.46, "end": 930.04, "word": " centimeters", "probability": 0.8369140625}, {"start": 930.04, "end": 931.2, "word": " high.", "probability": 0.810546875}, {"start": 931.36, "end": 931.68, "word": " Four", "probability": 0.54443359375}, {"start": 931.68, "end": 932.24, "word": " centimeters", "probability": 0.89013671875}, {"start": 932.24, "end": 933.42, "word": " high.", "probability": 0.748046875}, {"start": 934.42, "end": 934.86, "word": " So,", "probability": 0.55322265625}, {"start": 935.28, "end": 935.58, "word": " this", "probability": 0.7548828125}, {"start": 935.58, "end": 935.96, "word": " issue", "probability": 0.22802734375}, {"start": 935.96, "end": 936.18, "word": " should", "probability": 0.482177734375}, {"start": 936.18, "end": 936.42, "word": " be", "probability": 0.91650390625}, {"start": 936.42, "end": 937.76, "word": " clear", "probability": 0.8935546875}, {"start": 937.76, "end": 937.82, "word": " to", "probability": 0.69921875}, {"start": 937.82, "end": 937.82, "word": " me.", "probability": 0.84716796875}, {"start": 939.68, "end": 940.18, "word": " Some", "probability": 0.365234375}, {"start": 940.18, "end": 941.34, "word": " questions", "probability": 0.93701171875}, {"start": 941.34, "end": 941.34, "word": " may", "probability": 0.64501953125}, {"start": 941.34, "end": 941.34, "word": " arise,", "probability": 0.41552734375}, {"start": 941.58, "end": 942.4, "word": " especially", "probability": 0.52734375}, {"start": 942.4, "end": 942.54, "word": " in", "probability": 0.6650390625}, {"start": 942.54, "end": 943.02, "word": " exams.", "probability": 0.67333984375}, {"start": 943.58, "end": 943.7, "word": " For", "probability": 0.61572265625}, {"start": 943.7, "end": 943.9, "word": " example,", "probability": 0.95458984375}, {"start": 943.92, "end": 944.06, "word": " the", "probability": 0.38671875}, {"start": 944.06, "end": 944.24, "word": " distance", "probability": 0.6572265625}, {"start": 944.24, "end": 944.4, "word": " between", "probability": 0.5673828125}, {"start": 944.4, "end": 944.54, "word": " the", "probability": 0.87841796875}, {"start": 944.54, "end": 945.26, "word": " original", "probability": 0.9033203125}, {"start": 945.26, "end": 945.34, "word": " body", "probability": 0.8388671875}], "temperature": 1.0}, {"id": 37, "seek": 96333, "start": 946.23, "end": 963.33, "text": "عن الصورة النهائية The distance between the original body and the final image. We need to calculate meter and twenty-five centimeters. This is one meter and twenty-five centimeters. And the distance here is twenty centimeters. Two out of ten meters. This twenty-five centimeters is the distance", "tokens": [3615, 1863, 31767, 13063, 3660, 28239, 3224, 16373, 10632, 440, 4560, 1296, 264, 3380, 1772, 293, 264, 2572, 3256, 13, 492, 643, 281, 8873, 9255, 293, 7699, 12, 18621, 23300, 13, 639, 307, 472, 9255, 293, 7699, 12, 18621, 23300, 13, 400, 264, 4560, 510, 307, 7699, 23300, 13, 4453, 484, 295, 2064, 8146, 13, 639, 7699, 12, 18621, 23300, 307, 264, 4560], "avg_logprob": -0.5063476609066129, "compression_ratio": 1.7613636363636365, "no_speech_prob": 0.0002949237823486328, "words": [{"start": 946.23, "end": 946.57, "word": "عن", "probability": 0.4958648681640625}, {"start": 946.57, "end": 947.07, "word": " الصورة", "probability": 0.96630859375}, {"start": 947.07, "end": 947.77, "word": " النهائية", "probability": 0.984375}, {"start": 947.77, "end": 949.25, "word": " The", "probability": 0.09661865234375}, {"start": 949.25, "end": 949.25, "word": " distance", "probability": 0.60888671875}, {"start": 949.25, "end": 949.47, "word": " between", "probability": 0.47509765625}, {"start": 949.47, "end": 949.51, "word": " the", "probability": 0.63427734375}, {"start": 949.51, "end": 949.51, "word": " original", "probability": 0.59228515625}, {"start": 949.51, "end": 949.73, "word": " body", "probability": 0.4990234375}, {"start": 949.73, "end": 950.33, "word": " and", "probability": 0.818359375}, {"start": 950.33, "end": 950.47, "word": " the", "probability": 0.83251953125}, {"start": 950.47, "end": 950.83, "word": " final", "probability": 0.79833984375}, {"start": 950.83, "end": 950.93, "word": " image.", "probability": 0.54296875}, {"start": 951.09, "end": 951.17, "word": " We", "probability": 0.377685546875}, {"start": 951.17, "end": 951.27, "word": " need", "probability": 0.25390625}, {"start": 951.27, "end": 951.45, "word": " to", "probability": 0.970703125}, {"start": 951.45, "end": 951.69, "word": " calculate", "probability": 0.76904296875}, {"start": 951.69, "end": 952.09, "word": " meter", "probability": 0.233154296875}, {"start": 952.09, "end": 953.61, "word": " and", "probability": 0.424072265625}, {"start": 953.61, "end": 954.11, "word": " twenty", "probability": 0.232177734375}, {"start": 954.11, "end": 954.59, "word": "-five", "probability": 0.708251953125}, {"start": 954.59, "end": 954.95, "word": " centimeters.", "probability": 0.6474609375}, {"start": 955.09, "end": 955.11, "word": " This", "probability": 0.205810546875}, {"start": 955.11, "end": 955.15, "word": " is", "probability": 0.646484375}, {"start": 955.15, "end": 955.25, "word": " one", "probability": 0.47265625}, {"start": 955.25, "end": 955.45, "word": " meter", "probability": 0.88330078125}, {"start": 955.45, "end": 955.55, "word": " and", "probability": 0.86181640625}, {"start": 955.55, "end": 955.97, "word": " twenty", "probability": 0.7529296875}, {"start": 955.97, "end": 956.11, "word": "-five", "probability": 0.92724609375}, {"start": 956.11, "end": 956.61, "word": " centimeters.", "probability": 0.9130859375}, {"start": 957.09, "end": 957.21, "word": " And", "probability": 0.7119140625}, {"start": 957.21, "end": 957.31, "word": " the", "probability": 0.69091796875}, {"start": 957.31, "end": 957.63, "word": " distance", "probability": 0.86474609375}, {"start": 957.63, "end": 957.91, "word": " here", "probability": 0.53515625}, {"start": 957.91, "end": 958.05, "word": " is", "probability": 0.51220703125}, {"start": 958.05, "end": 958.67, "word": " twenty", "probability": 0.68603515625}, {"start": 958.67, "end": 959.21, "word": " centimeters.", "probability": 0.9130859375}, {"start": 959.29, "end": 959.45, "word": " Two", "probability": 0.64892578125}, {"start": 959.45, "end": 959.65, "word": " out", "probability": 0.271240234375}, {"start": 959.65, "end": 959.65, "word": " of", "probability": 0.97509765625}, {"start": 959.65, "end": 959.87, "word": " ten", "probability": 0.87548828125}, {"start": 959.87, "end": 960.19, "word": " meters.", "probability": 0.92724609375}, {"start": 960.51, "end": 960.81, "word": " This", "probability": 0.349365234375}, {"start": 960.81, "end": 961.03, "word": " twenty", "probability": 0.72998046875}, {"start": 961.03, "end": 961.33, "word": "-five", "probability": 0.953125}, {"start": 961.33, "end": 961.91, "word": " centimeters", "probability": 0.9091796875}, {"start": 961.91, "end": 962.29, "word": " is", "probability": 0.6416015625}, {"start": 962.29, "end": 962.85, "word": " the", "probability": 0.78564453125}, {"start": 962.85, "end": 963.33, "word": " distance", "probability": 0.89501953125}], "temperature": 1.0}, {"id": 38, "seek": 99381, "start": 973.11, "end": 993.81, "text": "between the body of the second lens and the second lens while the final image is away from the original body the following distances one meter we add twenty-five centimeters and we add twenty centimeters twenty-five and twenty means forty-five centimeters so one meter and forty-five centimeters one meter and forty-five centimeters", "tokens": [32387, 264, 1772, 295, 264, 1150, 6765, 293, 264, 1150, 6765, 1339, 264, 2572, 3256, 307, 1314, 490, 264, 3380, 1772, 264, 3480, 22182, 472, 9255, 321, 909, 7699, 12, 18621, 23300, 293, 321, 909, 7699, 23300, 7699, 12, 18621, 293, 7699, 1355, 15815, 12, 18621, 23300, 370, 472, 9255, 293, 15815, 12, 18621, 23300, 472, 9255, 293, 15815, 12, 18621, 23300], "avg_logprob": -0.3901289701461792, "compression_ratio": 2.3216783216783217, "no_speech_prob": 1.823902130126953e-05, "words": [{"start": 973.11, "end": 973.55, "word": "between", "probability": 0.93896484375}, {"start": 973.55, "end": 974.19, "word": " the", "probability": 0.73974609375}, {"start": 974.19, "end": 974.45, "word": " body", "probability": 0.284912109375}, {"start": 974.45, "end": 974.69, "word": " of", "probability": 0.8857421875}, {"start": 974.69, "end": 974.81, "word": " the", "probability": 0.72216796875}, {"start": 974.81, "end": 975.45, "word": " second", "probability": 0.410400390625}, {"start": 975.45, "end": 975.45, "word": " lens", "probability": 0.76708984375}, {"start": 975.45, "end": 975.65, "word": " and", "probability": 0.86669921875}, {"start": 975.65, "end": 975.75, "word": " the", "probability": 0.83642578125}, {"start": 975.75, "end": 976.39, "word": " second", "probability": 0.62060546875}, {"start": 976.39, "end": 976.49, "word": " lens", "probability": 0.82861328125}, {"start": 976.49, "end": 977.21, "word": " while", "probability": 0.384521484375}, {"start": 977.21, "end": 977.63, "word": " the", "probability": 0.8310546875}, {"start": 977.63, "end": 978.09, "word": " final", "probability": 0.68701171875}, {"start": 978.09, "end": 978.51, "word": " image", "probability": 0.5068359375}, {"start": 978.51, "end": 978.85, "word": " is", "probability": 0.466064453125}, {"start": 978.85, "end": 979.05, "word": " away", "probability": 0.63916015625}, {"start": 979.05, "end": 979.37, "word": " from", "probability": 0.8916015625}, {"start": 979.37, "end": 979.53, "word": " the", "probability": 0.91064453125}, {"start": 979.53, "end": 980.21, "word": " original", "probability": 0.77880859375}, {"start": 980.21, "end": 980.23, "word": " body", "probability": 0.8125}, {"start": 980.23, "end": 980.41, "word": " the", "probability": 0.1947021484375}, {"start": 980.41, "end": 980.43, "word": " following", "probability": 0.8037109375}, {"start": 980.43, "end": 981.19, "word": " distances", "probability": 0.91455078125}, {"start": 981.19, "end": 981.67, "word": " one", "probability": 0.35302734375}, {"start": 981.67, "end": 982.05, "word": " meter", "probability": 0.89599609375}, {"start": 982.05, "end": 982.77, "word": " we", "probability": 0.25439453125}, {"start": 982.77, "end": 982.95, "word": " add", "probability": 0.8525390625}, {"start": 982.95, "end": 983.33, "word": " twenty", "probability": 0.4482421875}, {"start": 983.33, "end": 983.81, "word": "-five", "probability": 0.77490234375}, {"start": 983.81, "end": 984.19, "word": " centimeters", "probability": 0.640625}, {"start": 984.19, "end": 984.33, "word": " and", "probability": 0.6064453125}, {"start": 984.33, "end": 984.47, "word": " we", "probability": 0.3662109375}, {"start": 984.47, "end": 984.69, "word": " add", "probability": 0.7255859375}, {"start": 984.69, "end": 985.87, "word": " twenty", "probability": 0.488037109375}, {"start": 985.87, "end": 986.37, "word": " centimeters", "probability": 0.81005859375}, {"start": 986.37, "end": 986.61, "word": " twenty", "probability": 0.468994140625}, {"start": 986.61, "end": 986.99, "word": "-five", "probability": 0.910888671875}, {"start": 986.99, "end": 987.25, "word": " and", "probability": 0.59765625}, {"start": 987.25, "end": 987.59, "word": " twenty", "probability": 0.8681640625}, {"start": 987.59, "end": 987.77, "word": " means", "probability": 0.286376953125}, {"start": 987.77, "end": 988.31, "word": " forty", "probability": 0.75}, {"start": 988.31, "end": 988.45, "word": "-five", "probability": 0.892333984375}, {"start": 988.45, "end": 988.75, "word": " centimeters", "probability": 0.88525390625}, {"start": 988.75, "end": 988.93, "word": " so", "probability": 0.2626953125}, {"start": 988.93, "end": 989.15, "word": " one", "probability": 0.73828125}, {"start": 989.15, "end": 989.31, "word": " meter", "probability": 0.66552734375}, {"start": 989.31, "end": 989.41, "word": " and", "probability": 0.88720703125}, {"start": 989.41, "end": 989.93, "word": " forty", "probability": 0.84716796875}, {"start": 989.93, "end": 990.27, "word": "-five", "probability": 0.919921875}, {"start": 990.27, "end": 991.33, "word": " centimeters", "probability": 0.85546875}, {"start": 991.33, "end": 991.51, "word": " one", "probability": 0.72119140625}, {"start": 991.51, "end": 991.67, "word": " meter", "probability": 0.90966796875}, {"start": 991.67, "end": 991.79, "word": " and", "probability": 0.92578125}, {"start": 991.79, "end": 992.33, "word": " forty", "probability": 0.8671875}, {"start": 992.33, "end": 992.59, "word": "-five", "probability": 0.953857421875}, {"start": 992.59, "end": 993.81, "word": " centimeters", "probability": 0.92431640625}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 994.0230625, "duration_after_vad": 870.6912500000012}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/1wSSzKQRRNI_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/1wSSzKQRRNI_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..3aee9c8f1252e8daaed6b5a26103ca4b1b23f0c7
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/1wSSzKQRRNI_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2356, "start": 1.84, "end": 23.56, "text": "بسم الله الرحمن الرحيم، بنواصل مع محاضرات البصريات الهندسية وتوقفنا عند فيرمات ال principle أو مبدأ فيرمات، طبعا فيرمات عالم يعني رياضي أو في الرياضيات، the mathematician Pierre de Fermat believed that natural processes occur in the most economical way", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 12399, 44945, 2407, 33546, 1211, 20449, 3714, 5016, 46958, 2288, 9307, 29739, 9381, 16572, 9307, 2423, 3224, 41260, 3794, 10632, 4032, 2655, 30543, 5172, 8315, 43242, 6156, 13546, 2304, 9307, 2423, 8665, 34051, 3714, 44510, 10721, 6156, 13546, 2304, 9307, 12399, 23032, 3555, 3615, 995, 6156, 13546, 2304, 9307, 6225, 45340, 37495, 22653, 12602, 1829, 46958, 1829, 34051, 8978, 2423, 16572, 46958, 1829, 9307, 12399, 264, 48281, 28461, 368, 43261, 267, 7847, 300, 3303, 7555, 5160, 294, 264, 881, 42473, 636], "avg_logprob": -0.18097527407027864, "compression_ratio": 1.5854700854700854, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 1.84, "end": 2.12, "word": "بسم", "probability": 0.65771484375}, {"start": 2.12, "end": 2.26, "word": " الله", "probability": 0.93994140625}, {"start": 2.26, "end": 2.6, "word": " الرحمن", "probability": 0.8857421875}, {"start": 2.6, "end": 3.9, "word": " الرحيم،", "probability": 0.83526611328125}, {"start": 3.9, "end": 4.56, "word": " بنواصل", "probability": 0.8505859375}, {"start": 4.56, "end": 4.74, "word": " مع", "probability": 0.97900390625}, {"start": 4.74, "end": 5.46, "word": " محاضرات", "probability": 0.9666015625}, {"start": 5.46, "end": 6.08, "word": " البصريات", "probability": 0.9547119140625}, {"start": 6.08, "end": 6.72, "word": " الهندسية", "probability": 0.894921875}, {"start": 6.72, "end": 7.44, "word": " وتوقفنا", "probability": 0.70341796875}, {"start": 7.44, "end": 7.7, "word": " عند", "probability": 0.97802734375}, {"start": 7.7, "end": 8.26, "word": " فيرمات", "probability": 0.60760498046875}, {"start": 8.26, "end": 8.38, "word": " ال", "probability": 0.89990234375}, {"start": 8.38, "end": 8.8, "word": " principle", "probability": 0.2724609375}, {"start": 8.8, "end": 9.04, "word": " أو", "probability": 0.67919921875}, {"start": 9.04, "end": 9.52, "word": " مبدأ", "probability": 0.9471028645833334}, {"start": 9.52, "end": 11.06, "word": " فيرمات،", "probability": 0.81689453125}, {"start": 11.06, "end": 11.78, "word": " طبعا", "probability": 0.9722900390625}, {"start": 11.78, "end": 12.16, "word": " فيرمات", "probability": 0.9503173828125}, {"start": 12.16, "end": 12.56, "word": " عالم", "probability": 0.916748046875}, {"start": 12.56, "end": 14.22, "word": " يعني", "probability": 0.87744140625}, {"start": 14.22, "end": 15.18, "word": " رياضي", "probability": 0.983154296875}, {"start": 15.18, "end": 15.38, "word": " أو", "probability": 0.716796875}, {"start": 15.38, "end": 15.52, "word": " في", "probability": 0.86328125}, {"start": 15.52, "end": 16.76, "word": " الرياضيات،", "probability": 0.92041015625}, {"start": 16.76, "end": 16.86, "word": " the", "probability": 0.75048828125}, {"start": 16.86, "end": 17.36, "word": " mathematician", "probability": 0.9189453125}, {"start": 17.36, "end": 18.44, "word": " Pierre", "probability": 0.75927734375}, {"start": 18.44, "end": 18.68, "word": " de", "probability": 0.67578125}, {"start": 18.68, "end": 19.26, "word": " Fermat", "probability": 0.75830078125}, {"start": 19.26, "end": 20.06, "word": " believed", "probability": 0.82861328125}, {"start": 20.06, "end": 20.3, "word": " that", "probability": 0.94140625}, {"start": 20.3, "end": 20.76, "word": " natural", "probability": 0.86572265625}, {"start": 20.76, "end": 21.48, "word": " processes", "probability": 0.92041015625}, {"start": 21.48, "end": 21.78, "word": " occur", "probability": 0.91015625}, {"start": 21.78, "end": 22.2, "word": " in", "probability": 0.95751953125}, {"start": 22.2, "end": 22.36, "word": " the", "probability": 0.92529296875}, {"start": 22.36, "end": 22.58, "word": " most", "probability": 0.9140625}, {"start": 22.58, "end": 23.02, "word": " economical", "probability": 0.94775390625}, {"start": 23.02, "end": 23.56, "word": " way", "probability": 0.95458984375}], "temperature": 1.0}, {"id": 2, "seek": 4367, "start": 24.11, "end": 43.67, "text": "I mean from his experience, his experience, his work and his research, the scientist Fermat concluded that natural phenomena, including phenomena against them, occur in the most economical way possible, meaning with the least consumption of .. consumption of time", "tokens": [40, 914, 490, 702, 1752, 11, 702, 1752, 11, 702, 589, 293, 702, 2132, 11, 264, 12662, 43261, 267, 22960, 300, 3303, 22004, 11, 3009, 22004, 1970, 552, 11, 5160, 294, 264, 881, 42473, 636, 1944, 11, 3620, 365, 264, 1935, 12126, 295, 4386, 12126, 295, 565], "avg_logprob": -0.4941405989229679, "compression_ratio": 1.64375, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 24.11, "end": 24.31, "word": "I", "probability": 0.26708984375}, {"start": 24.31, "end": 24.61, "word": " mean", "probability": 0.89501953125}, {"start": 24.61, "end": 25.57, "word": " from", "probability": 0.57861328125}, {"start": 25.57, "end": 25.81, "word": " his", "probability": 0.9462890625}, {"start": 25.81, "end": 26.13, "word": " experience,", "probability": 0.59326171875}, {"start": 26.31, "end": 26.39, "word": " his", "probability": 0.366943359375}, {"start": 26.39, "end": 26.59, "word": " experience,", "probability": 0.70703125}, {"start": 27.09, "end": 27.65, "word": " his", "probability": 0.873046875}, {"start": 27.65, "end": 27.95, "word": " work", "probability": 0.50439453125}, {"start": 27.95, "end": 28.87, "word": " and", "probability": 0.69287109375}, {"start": 28.87, "end": 29.27, "word": " his", "probability": 0.81005859375}, {"start": 29.27, "end": 29.73, "word": " research,", "probability": 0.90478515625}, {"start": 30.65, "end": 31.29, "word": " the", "probability": 0.61962890625}, {"start": 31.29, "end": 31.57, "word": " scientist", "probability": 0.3369140625}, {"start": 31.57, "end": 32.17, "word": " Fermat", "probability": 0.793701171875}, {"start": 32.17, "end": 32.17, "word": " concluded", "probability": 0.175048828125}, {"start": 32.17, "end": 32.93, "word": " that", "probability": 0.935546875}, {"start": 32.93, "end": 33.25, "word": " natural", "probability": 0.646484375}, {"start": 33.25, "end": 34.19, "word": " phenomena,", "probability": 0.7587890625}, {"start": 34.33, "end": 34.59, "word": " including", "probability": 0.7373046875}, {"start": 34.59, "end": 35.19, "word": " phenomena", "probability": 0.52294921875}, {"start": 35.19, "end": 35.45, "word": " against", "probability": 0.63818359375}, {"start": 35.45, "end": 35.89, "word": " them,", "probability": 0.30078125}, {"start": 36.53, "end": 36.87, "word": " occur", "probability": 0.58349609375}, {"start": 36.87, "end": 37.17, "word": " in", "probability": 0.65966796875}, {"start": 37.17, "end": 37.41, "word": " the", "probability": 0.654296875}, {"start": 37.41, "end": 37.53, "word": " most", "probability": 0.7412109375}, {"start": 37.53, "end": 38.73, "word": " economical", "probability": 0.8603515625}, {"start": 38.73, "end": 39.01, "word": " way", "probability": 0.86083984375}, {"start": 39.01, "end": 39.31, "word": " possible,", "probability": 0.90185546875}, {"start": 39.51, "end": 39.73, "word": " meaning", "probability": 0.427001953125}, {"start": 39.73, "end": 40.27, "word": " with", "probability": 0.369140625}, {"start": 40.27, "end": 40.41, "word": " the", "probability": 0.390625}, {"start": 40.41, "end": 40.65, "word": " least", "probability": 0.84228515625}, {"start": 40.65, "end": 41.17, "word": " consumption", "probability": 0.78662109375}, {"start": 41.17, "end": 41.59, "word": " of", "probability": 0.55419921875}, {"start": 41.59, "end": 41.77, "word": " ..", "probability": 0.2861328125}, {"start": 41.77, "end": 42.29, "word": " consumption", "probability": 0.5673828125}, {"start": 42.29, "end": 42.79, "word": " of", "probability": 0.97265625}, {"start": 42.79, "end": 43.67, "word": " time", "probability": 0.87060546875}], "temperature": 1.0}, {"id": 3, "seek": 6938, "start": 44.04, "end": 69.38, "text": "And the Fermat principle as applied to optics, if we want to apply the Fermat principle on the subject of vision, the goal is that the light travels from one point to another along the path requiring the least time. That is, when the light travels from one point to another, it will consume the least time possible to reach the point or the next target.", "tokens": [5289, 264, 43261, 267, 8665, 382, 6456, 281, 42599, 11, 498, 321, 528, 281, 3079, 264, 43261, 267, 8665, 322, 264, 3983, 295, 5201, 11, 264, 3387, 307, 300, 264, 1442, 19863, 490, 472, 935, 281, 1071, 2051, 264, 3100, 24165, 264, 1935, 565, 13, 663, 307, 11, 562, 264, 1442, 19863, 490, 472, 935, 281, 1071, 11, 309, 486, 14732, 264, 1935, 565, 1944, 281, 2524, 264, 935, 420, 264, 958, 3779, 13], "avg_logprob": -0.37458332141240436, "compression_ratio": 1.8481675392670156, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 44.04, "end": 44.58, "word": "And", "probability": 0.2266845703125}, {"start": 44.58, "end": 45.32, "word": " the", "probability": 0.58837890625}, {"start": 45.32, "end": 45.66, "word": " Fermat", "probability": 0.75146484375}, {"start": 45.66, "end": 46.16, "word": " principle", "probability": 0.77734375}, {"start": 46.16, "end": 46.54, "word": " as", "probability": 0.8203125}, {"start": 46.54, "end": 46.98, "word": " applied", "probability": 0.79248046875}, {"start": 46.98, "end": 47.24, "word": " to", "probability": 0.96728515625}, {"start": 47.24, "end": 47.72, "word": " optics,", "probability": 0.9248046875}, {"start": 47.84, "end": 47.92, "word": " if", "probability": 0.8916015625}, {"start": 47.92, "end": 48.22, "word": " we", "probability": 0.6826171875}, {"start": 48.22, "end": 48.22, "word": " want", "probability": 0.497314453125}, {"start": 48.22, "end": 48.44, "word": " to", "probability": 0.966796875}, {"start": 48.44, "end": 48.78, "word": " apply", "probability": 0.8837890625}, {"start": 48.78, "end": 49.22, "word": " the", "probability": 0.38330078125}, {"start": 49.22, "end": 50.1, "word": " Fermat", "probability": 0.722412109375}, {"start": 50.1, "end": 50.1, "word": " principle", "probability": 0.84912109375}, {"start": 50.1, "end": 51.38, "word": " on", "probability": 0.327392578125}, {"start": 51.38, "end": 51.56, "word": " the", "probability": 0.6943359375}, {"start": 51.56, "end": 51.84, "word": " subject", "probability": 0.65576171875}, {"start": 51.84, "end": 51.92, "word": " of", "probability": 0.95654296875}, {"start": 51.92, "end": 52.3, "word": " vision,", "probability": 0.308349609375}, {"start": 52.96, "end": 53.08, "word": " the", "probability": 0.488525390625}, {"start": 53.08, "end": 53.28, "word": " goal", "probability": 0.435546875}, {"start": 53.28, "end": 53.56, "word": " is", "probability": 0.71337890625}, {"start": 53.56, "end": 53.86, "word": " that", "probability": 0.69580078125}, {"start": 53.86, "end": 53.98, "word": " the", "probability": 0.387939453125}, {"start": 53.98, "end": 54.26, "word": " light", "probability": 0.88427734375}, {"start": 54.26, "end": 54.72, "word": " travels", "probability": 0.833984375}, {"start": 54.72, "end": 55.12, "word": " from", "probability": 0.88916015625}, {"start": 55.12, "end": 55.44, "word": " one", "probability": 0.89892578125}, {"start": 55.44, "end": 55.8, "word": " point", "probability": 0.9736328125}, {"start": 55.8, "end": 56.0, "word": " to", "probability": 0.9716796875}, {"start": 56.0, "end": 56.38, "word": " another", "probability": 0.9140625}, {"start": 56.38, "end": 56.84, "word": " along", "probability": 0.90087890625}, {"start": 56.84, "end": 57.1, "word": " the", "probability": 0.70654296875}, {"start": 57.1, "end": 57.38, "word": " path", "probability": 0.9306640625}, {"start": 57.38, "end": 58.04, "word": " requiring", "probability": 0.95849609375}, {"start": 58.04, "end": 58.32, "word": " the", "probability": 0.9150390625}, {"start": 58.32, "end": 58.58, "word": " least", "probability": 0.96484375}, {"start": 58.58, "end": 58.92, "word": " time.", "probability": 0.8603515625}, {"start": 59.36, "end": 59.52, "word": " That", "probability": 0.2406005859375}, {"start": 59.52, "end": 59.56, "word": " is,", "probability": 0.61865234375}, {"start": 59.62, "end": 59.74, "word": " when", "probability": 0.272705078125}, {"start": 59.74, "end": 59.74, "word": " the", "probability": 0.397216796875}, {"start": 59.74, "end": 59.9, "word": " light", "probability": 0.8671875}, {"start": 59.9, "end": 60.58, "word": " travels", "probability": 0.84912109375}, {"start": 60.58, "end": 60.76, "word": " from", "probability": 0.87646484375}, {"start": 60.76, "end": 60.94, "word": " one", "probability": 0.74267578125}, {"start": 60.94, "end": 61.2, "word": " point", "probability": 0.93798828125}, {"start": 61.2, "end": 61.58, "word": " to", "probability": 0.97314453125}, {"start": 61.58, "end": 61.94, "word": " another,", "probability": 0.86767578125}, {"start": 62.48, "end": 62.92, "word": " it", "probability": 0.93115234375}, {"start": 62.92, "end": 63.14, "word": " will", "probability": 0.67236328125}, {"start": 63.14, "end": 63.58, "word": " consume", "probability": 0.58544921875}, {"start": 63.58, "end": 64.06, "word": " the", "probability": 0.70556640625}, {"start": 64.06, "end": 64.5, "word": " least", "probability": 0.79931640625}, {"start": 64.5, "end": 64.92, "word": " time", "probability": 0.486572265625}, {"start": 64.92, "end": 65.66, "word": " possible", "probability": 0.7890625}, {"start": 65.66, "end": 67.16, "word": " to", "probability": 0.833984375}, {"start": 67.16, "end": 67.54, "word": " reach", "probability": 0.8369140625}, {"start": 67.54, "end": 67.78, "word": " the", "probability": 0.77490234375}, {"start": 67.78, "end": 68.06, "word": " point", "probability": 0.626953125}, {"start": 68.06, "end": 68.34, "word": " or", "probability": 0.9091796875}, {"start": 68.34, "end": 68.48, "word": " the", "probability": 0.59228515625}, {"start": 68.48, "end": 69.36, "word": " next", "probability": 0.7529296875}, {"start": 69.36, "end": 69.38, "word": " target.", "probability": 0.5517578125}], "temperature": 1.0}, {"id": 4, "seek": 7867, "start": 70.89, "end": 78.67, "text": "Historically, the laws of reflection and refraction were discovered by careful experimental measurements before Fermat's time.", "tokens": [39, 23882, 984, 11, 264, 6064, 295, 12914, 293, 1895, 26766, 645, 6941, 538, 5026, 17069, 15383, 949, 43261, 267, 311, 565, 13], "avg_logprob": -0.19108073537548384, "compression_ratio": 1.2, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 70.89, "end": 71.75, "word": "Historically,", "probability": 0.8909505208333334}, {"start": 71.89, "end": 72.01, "word": " the", "probability": 0.923828125}, {"start": 72.01, "end": 72.23, "word": " laws", "probability": 0.80078125}, {"start": 72.23, "end": 72.41, "word": " of", "probability": 0.97412109375}, {"start": 72.41, "end": 72.95, "word": " reflection", "probability": 0.87451171875}, {"start": 72.95, "end": 73.31, "word": " and", "probability": 0.9501953125}, {"start": 73.31, "end": 73.95, "word": " refraction", "probability": 0.827880859375}, {"start": 73.95, "end": 74.27, "word": " were", "probability": 0.87646484375}, {"start": 74.27, "end": 74.81, "word": " discovered", "probability": 0.77392578125}, {"start": 74.81, "end": 75.15, "word": " by", "probability": 0.97412109375}, {"start": 75.15, "end": 75.51, "word": " careful", "probability": 0.9541015625}, {"start": 75.51, "end": 76.27, "word": " experimental", "probability": 0.794921875}, {"start": 76.27, "end": 76.99, "word": " measurements", "probability": 0.9208984375}, {"start": 76.99, "end": 77.71, "word": " before", "probability": 0.84619140625}, {"start": 77.71, "end": 78.45, "word": " Fermat's", "probability": 0.97998046875}, {"start": 78.45, "end": 78.67, "word": " time.", "probability": 0.9169921875}], "temperature": 1.0}, {"id": 5, "seek": 11112, "start": 96.06, "end": 111.12, "text": "already مكتشف و العلماء بيعرفوا. However, both the law of refraction and the law of reflection can be mathematically derived from the Fermat principle without the need for any measurement.", "tokens": [304, 1201, 3714, 4117, 2655, 8592, 5172, 4032, 18863, 19528, 16606, 4724, 40228, 28480, 14407, 13, 2908, 11, 1293, 264, 2101, 295, 1895, 26766, 293, 264, 2101, 295, 12914, 393, 312, 44003, 18949, 490, 264, 43261, 267, 8665, 1553, 264, 643, 337, 604, 13160, 13], "avg_logprob": -0.25713314504727075, "compression_ratio": 1.2530120481927711, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 96.06, "end": 96.78, "word": "already", "probability": 0.705810546875}, {"start": 96.78, "end": 97.5, "word": " مكتشف", "probability": 0.64541015625}, {"start": 97.5, "end": 97.94, "word": " و", "probability": 0.7744140625}, {"start": 97.94, "end": 98.94, "word": " العلماء", "probability": 0.795166015625}, {"start": 98.94, "end": 101.3, "word": " بيعرفوا.", "probability": 0.8663330078125}, {"start": 101.82, "end": 102.12, "word": " However,", "probability": 0.79345703125}, {"start": 102.44, "end": 102.68, "word": " both", "probability": 0.89453125}, {"start": 102.68, "end": 102.92, "word": " the", "probability": 0.89306640625}, {"start": 102.92, "end": 103.06, "word": " law", "probability": 0.7529296875}, {"start": 103.06, "end": 103.26, "word": " of", "probability": 0.9794921875}, {"start": 103.26, "end": 103.84, "word": " refraction", "probability": 0.884765625}, {"start": 103.84, "end": 104.14, "word": " and", "probability": 0.96240234375}, {"start": 104.14, "end": 104.28, "word": " the", "probability": 0.8828125}, {"start": 104.28, "end": 104.44, "word": " law", "probability": 0.9208984375}, {"start": 104.44, "end": 104.64, "word": " of", "probability": 0.97509765625}, {"start": 104.64, "end": 105.12, "word": " reflection", "probability": 0.92919921875}, {"start": 105.12, "end": 105.48, "word": " can", "probability": 0.95166015625}, {"start": 105.48, "end": 105.72, "word": " be", "probability": 0.970703125}, {"start": 105.72, "end": 106.36, "word": " mathematically", "probability": 0.943359375}, {"start": 106.36, "end": 107.12, "word": " derived", "probability": 0.88330078125}, {"start": 107.12, "end": 107.64, "word": " from", "probability": 0.91357421875}, {"start": 107.64, "end": 107.82, "word": " the", "probability": 0.90771484375}, {"start": 107.82, "end": 108.26, "word": " Fermat", "probability": 0.7705078125}, {"start": 108.26, "end": 108.84, "word": " principle", "probability": 0.8056640625}, {"start": 108.84, "end": 109.3, "word": " without", "probability": 0.86474609375}, {"start": 109.3, "end": 109.56, "word": " the", "probability": 0.90087890625}, {"start": 109.56, "end": 109.78, "word": " need", "probability": 0.94970703125}, {"start": 109.78, "end": 110.44, "word": " for", "probability": 0.6572265625}, {"start": 110.44, "end": 110.76, "word": " any", "probability": 0.90087890625}, {"start": 110.76, "end": 111.12, "word": " measurement.", "probability": 0.818359375}], "temperature": 1.0}, {"id": 6, "seek": 12549, "start": 111.63, "end": 125.49, "text": "If we imagine a dispute that the law of reduction and the law of inversion was not discovered before the time of Fermat, and we will find that it is possible in a mathematical way or mathematical calculations", "tokens": [8031, 321, 3811, 257, 25379, 300, 264, 2101, 295, 11004, 293, 264, 2101, 295, 43576, 390, 406, 6941, 949, 264, 565, 295, 43261, 267, 11, 293, 321, 486, 915, 300, 309, 307, 1944, 294, 257, 18894, 636, 420, 18894, 20448], "avg_logprob": -0.4660823287033453, "compression_ratio": 1.5294117647058822, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 111.63, "end": 111.95, "word": "If", "probability": 0.5849609375}, {"start": 111.95, "end": 112.21, "word": " we", "probability": 0.8974609375}, {"start": 112.21, "end": 112.67, "word": " imagine", "probability": 0.65771484375}, {"start": 112.67, "end": 112.87, "word": " a", "probability": 0.244384765625}, {"start": 112.87, "end": 113.13, "word": " dispute", "probability": 0.6123046875}, {"start": 113.13, "end": 113.55, "word": " that", "probability": 0.5712890625}, {"start": 113.55, "end": 113.69, "word": " the", "probability": 0.6748046875}, {"start": 113.69, "end": 113.91, "word": " law", "probability": 0.390625}, {"start": 113.91, "end": 114.11, "word": " of", "probability": 0.9677734375}, {"start": 114.11, "end": 114.47, "word": " reduction", "probability": 0.178955078125}, {"start": 114.47, "end": 114.83, "word": " and", "probability": 0.9072265625}, {"start": 114.83, "end": 114.97, "word": " the", "probability": 0.4921875}, {"start": 114.97, "end": 115.13, "word": " law", "probability": 0.92822265625}, {"start": 115.13, "end": 115.29, "word": " of", "probability": 0.9765625}, {"start": 115.29, "end": 115.87, "word": " inversion", "probability": 0.244384765625}, {"start": 115.87, "end": 117.03, "word": " was", "probability": 0.33642578125}, {"start": 117.03, "end": 117.25, "word": " not", "probability": 0.8125}, {"start": 117.25, "end": 118.49, "word": " discovered", "probability": 0.64111328125}, {"start": 118.49, "end": 119.69, "word": " before", "probability": 0.52392578125}, {"start": 119.69, "end": 120.31, "word": " the", "probability": 0.73681640625}, {"start": 120.31, "end": 120.55, "word": " time", "probability": 0.2255859375}, {"start": 120.55, "end": 120.71, "word": " of", "probability": 0.97265625}, {"start": 120.71, "end": 121.23, "word": " Fermat,", "probability": 0.9609375}, {"start": 121.57, "end": 122.03, "word": " and", "probability": 0.68603515625}, {"start": 122.03, "end": 122.53, "word": " we", "probability": 0.85888671875}, {"start": 122.53, "end": 122.57, "word": " will", "probability": 0.509765625}, {"start": 122.57, "end": 122.77, "word": " find", "probability": 0.8583984375}, {"start": 122.77, "end": 123.07, "word": " that", "probability": 0.84716796875}, {"start": 123.07, "end": 123.11, "word": " it", "probability": 0.57080078125}, {"start": 123.11, "end": 123.13, "word": " is", "probability": 0.75634765625}, {"start": 123.13, "end": 123.61, "word": " possible", "probability": 0.95166015625}, {"start": 123.61, "end": 123.81, "word": " in", "probability": 0.379150390625}, {"start": 123.81, "end": 124.27, "word": " a", "probability": 0.92041015625}, {"start": 124.27, "end": 124.45, "word": " mathematical", "probability": 0.890625}, {"start": 124.45, "end": 124.71, "word": " way", "probability": 0.87353515625}, {"start": 124.71, "end": 124.89, "word": " or", "probability": 0.86279296875}, {"start": 124.89, "end": 125.01, "word": " mathematical", "probability": 0.4912109375}, {"start": 125.01, "end": 125.49, "word": " calculations", "probability": 0.89111328125}], "temperature": 1.0}, {"id": 7, "seek": 14199, "start": 126.39, "end": 141.99, "text": "by using the principle of Fermat that we reach the law of reflection and the law of contraction without the need for calculations of the law of reflection and the law of contraction, but by using the principle of Fermat", "tokens": [2322, 1228, 264, 8665, 295, 43261, 267, 300, 321, 2524, 264, 2101, 295, 12914, 293, 264, 2101, 295, 37372, 1553, 264, 643, 337, 20448, 295, 264, 2101, 295, 12914, 293, 264, 2101, 295, 37372, 11, 457, 538, 1228, 264, 8665, 295, 43261, 267], "avg_logprob": -0.3584872084585103, "compression_ratio": 1.9553571428571428, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 126.39, "end": 126.63, "word": "by", "probability": 0.45654296875}, {"start": 126.63, "end": 127.13, "word": " using", "probability": 0.93505859375}, {"start": 127.13, "end": 127.37, "word": " the", "probability": 0.75537109375}, {"start": 127.37, "end": 127.65, "word": " principle", "probability": 0.4423828125}, {"start": 127.65, "end": 127.85, "word": " of", "probability": 0.52734375}, {"start": 127.85, "end": 128.37, "word": " Fermat", "probability": 0.785400390625}, {"start": 128.37, "end": 130.03, "word": " that", "probability": 0.3173828125}, {"start": 130.03, "end": 130.21, "word": " we", "probability": 0.802734375}, {"start": 130.21, "end": 130.65, "word": " reach", "probability": 0.392578125}, {"start": 130.65, "end": 130.95, "word": " the", "probability": 0.68994140625}, {"start": 130.95, "end": 131.11, "word": " law", "probability": 0.6669921875}, {"start": 131.11, "end": 131.27, "word": " of", "probability": 0.9677734375}, {"start": 131.27, "end": 131.61, "word": " reflection", "probability": 0.188232421875}, {"start": 131.61, "end": 131.95, "word": " and", "probability": 0.92236328125}, {"start": 131.95, "end": 132.01, "word": " the", "probability": 0.5029296875}, {"start": 132.01, "end": 132.19, "word": " law", "probability": 0.94921875}, {"start": 132.19, "end": 132.33, "word": " of", "probability": 0.9755859375}, {"start": 132.33, "end": 132.69, "word": " contraction", "probability": 0.486083984375}, {"start": 132.69, "end": 133.63, "word": " without", "probability": 0.88525390625}, {"start": 133.63, "end": 134.15, "word": " the", "probability": 0.39697265625}, {"start": 134.15, "end": 134.47, "word": " need", "probability": 0.8857421875}, {"start": 134.47, "end": 134.89, "word": " for", "probability": 0.521484375}, {"start": 134.89, "end": 136.09, "word": " calculations", "probability": 0.611328125}, {"start": 136.09, "end": 136.59, "word": " of", "probability": 0.736328125}, {"start": 136.59, "end": 136.79, "word": " the", "probability": 0.83251953125}, {"start": 136.79, "end": 137.01, "word": " law", "probability": 0.943359375}, {"start": 137.01, "end": 137.15, "word": " of", "probability": 0.96728515625}, {"start": 137.15, "end": 137.55, "word": " reflection", "probability": 0.697265625}, {"start": 137.55, "end": 138.25, "word": " and", "probability": 0.91455078125}, {"start": 138.25, "end": 138.41, "word": " the", "probability": 0.7626953125}, {"start": 138.41, "end": 138.67, "word": " law", "probability": 0.9599609375}, {"start": 138.67, "end": 139.15, "word": " of", "probability": 0.97314453125}, {"start": 139.15, "end": 139.57, "word": " contraction,", "probability": 0.96142578125}, {"start": 139.73, "end": 139.93, "word": " but", "probability": 0.62060546875}, {"start": 139.93, "end": 140.19, "word": " by", "probability": 0.52001953125}, {"start": 140.19, "end": 140.57, "word": " using", "probability": 0.89794921875}, {"start": 140.57, "end": 140.79, "word": " the", "probability": 0.65771484375}, {"start": 140.79, "end": 141.01, "word": " principle", "probability": 0.82177734375}, {"start": 141.01, "end": 141.57, "word": " of", "probability": 0.9228515625}, {"start": 141.57, "end": 141.99, "word": " Fermat", "probability": 0.981201171875}], "temperature": 1.0}, {"id": 8, "seek": 16318, "start": 142.1, "end": 163.18, "text": "Of course, the details of this matter are outside the scope of engineering perspectives, so we will not go into it. But what we want to be sure of is that, as the law of reflection and the law of contraction was proven by experience and was calculated with certain equations, if we use the principle of Fermat,", "tokens": [23919, 1164, 11, 264, 4365, 295, 341, 1871, 366, 2380, 264, 11923, 295, 7043, 16766, 11, 370, 321, 486, 406, 352, 666, 309, 13, 583, 437, 321, 528, 281, 312, 988, 295, 307, 300, 11, 382, 264, 2101, 295, 12914, 293, 264, 2101, 295, 37372, 390, 12785, 538, 1752, 293, 390, 15598, 365, 1629, 11787, 11, 498, 321, 764, 264, 8665, 295, 43261, 267, 11], "avg_logprob": -0.5113636499101465, "compression_ratio": 1.5736040609137056, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 142.1, "end": 142.3, "word": "Of", "probability": 0.268310546875}, {"start": 142.3, "end": 142.46, "word": " course,", "probability": 0.94384765625}, {"start": 142.58, "end": 142.64, "word": " the", "probability": 0.459228515625}, {"start": 142.64, "end": 142.92, "word": " details", "probability": 0.8388671875}, {"start": 142.92, "end": 143.1, "word": " of", "probability": 0.81005859375}, {"start": 143.1, "end": 143.28, "word": " this", "probability": 0.86181640625}, {"start": 143.28, "end": 143.6, "word": " matter", "probability": 0.65478515625}, {"start": 143.6, "end": 143.74, "word": " are", "probability": 0.5146484375}, {"start": 143.74, "end": 144.12, "word": " outside", "probability": 0.3642578125}, {"start": 144.12, "end": 144.28, "word": " the", "probability": 0.68994140625}, {"start": 144.28, "end": 144.64, "word": " scope", "probability": 0.455078125}, {"start": 144.64, "end": 144.88, "word": " of", "probability": 0.9599609375}, {"start": 144.88, "end": 145.22, "word": " engineering", "probability": 0.5830078125}, {"start": 145.22, "end": 146.1, "word": " perspectives,", "probability": 0.08526611328125}, {"start": 146.7, "end": 146.82, "word": " so", "probability": 0.396484375}, {"start": 146.82, "end": 147.24, "word": " we", "probability": 0.85888671875}, {"start": 147.24, "end": 147.58, "word": " will", "probability": 0.59619140625}, {"start": 147.58, "end": 147.58, "word": " not", "probability": 0.939453125}, {"start": 147.58, "end": 147.78, "word": " go", "probability": 0.271728515625}, {"start": 147.78, "end": 147.98, "word": " into", "probability": 0.75830078125}, {"start": 147.98, "end": 148.24, "word": " it.", "probability": 0.53173828125}, {"start": 148.7, "end": 149.04, "word": " But", "probability": 0.6181640625}, {"start": 149.04, "end": 149.2, "word": " what", "probability": 0.61083984375}, {"start": 149.2, "end": 149.3, "word": " we", "probability": 0.9521484375}, {"start": 149.3, "end": 149.46, "word": " want", "probability": 0.69873046875}, {"start": 149.46, "end": 149.56, "word": " to", "probability": 0.970703125}, {"start": 149.56, "end": 149.68, "word": " be", "probability": 0.71142578125}, {"start": 149.68, "end": 150.12, "word": " sure", "probability": 0.7333984375}, {"start": 150.12, "end": 150.3, "word": " of", "probability": 0.82568359375}, {"start": 150.3, "end": 150.52, "word": " is", "probability": 0.83642578125}, {"start": 150.52, "end": 150.7, "word": " that,", "probability": 0.89697265625}, {"start": 150.82, "end": 150.9, "word": " as", "probability": 0.4833984375}, {"start": 150.9, "end": 151.32, "word": " the", "probability": 0.505859375}, {"start": 151.32, "end": 151.44, "word": " law", "probability": 0.72998046875}, {"start": 151.44, "end": 151.66, "word": " of", "probability": 0.9638671875}, {"start": 151.66, "end": 152.0, "word": " reflection", "probability": 0.1676025390625}, {"start": 152.0, "end": 152.32, "word": " and", "probability": 0.921875}, {"start": 152.32, "end": 152.42, "word": " the", "probability": 0.64453125}, {"start": 152.42, "end": 152.62, "word": " law", "probability": 0.92724609375}, {"start": 152.62, "end": 152.88, "word": " of", "probability": 0.97314453125}, {"start": 152.88, "end": 153.4, "word": " contraction", "probability": 0.2403564453125}, {"start": 153.4, "end": 153.78, "word": " was", "probability": 0.296142578125}, {"start": 153.78, "end": 154.28, "word": " proven", "probability": 0.5908203125}, {"start": 154.28, "end": 154.56, "word": " by", "probability": 0.52978515625}, {"start": 154.56, "end": 155.0, "word": " experience", "probability": 0.71435546875}, {"start": 155.0, "end": 155.26, "word": " and", "probability": 0.751953125}, {"start": 155.26, "end": 155.46, "word": " was", "probability": 0.4423828125}, {"start": 155.46, "end": 156.62, "word": " calculated", "probability": 0.73779296875}, {"start": 156.62, "end": 157.32, "word": " with", "probability": 0.236328125}, {"start": 157.32, "end": 159.28, "word": " certain", "probability": 0.6171875}, {"start": 159.28, "end": 160.22, "word": " equations,", "probability": 0.77880859375}, {"start": 160.8, "end": 161.54, "word": " if", "probability": 0.935546875}, {"start": 161.54, "end": 161.66, "word": " we", "probability": 0.95361328125}, {"start": 161.66, "end": 162.02, "word": " use", "probability": 0.72705078125}, {"start": 162.02, "end": 162.3, "word": " the", "probability": 0.79345703125}, {"start": 162.3, "end": 162.48, "word": " principle", "probability": 0.71044921875}, {"start": 162.48, "end": 162.66, "word": " of", "probability": 0.9609375}, {"start": 162.66, "end": 163.18, "word": " Fermat,", "probability": 0.8388671875}], "temperature": 1.0}, {"id": 9, "seek": 18659, "start": 163.47, "end": 186.59, "text": "we can reach the conclusion of the two laws, the law of refraction and the law of contraction, using the principle of Fermat without the need for the method that was proven to them before that Suppose the law of refraction was unknown, let's assume now that the law of contraction", "tokens": [826, 393, 2524, 264, 10063, 295, 264, 732, 6064, 11, 264, 2101, 295, 1895, 26766, 293, 264, 2101, 295, 37372, 11, 1228, 264, 8665, 295, 43261, 267, 1553, 264, 643, 337, 264, 3170, 300, 390, 12785, 281, 552, 949, 300, 21360, 264, 2101, 295, 1895, 26766, 390, 9841, 11, 718, 311, 6552, 586, 300, 264, 2101, 295, 37372], "avg_logprob": -0.49258475182420114, "compression_ratio": 1.8181818181818181, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 163.47, "end": 163.73, "word": "we", "probability": 0.6083984375}, {"start": 163.73, "end": 164.03, "word": " can", "probability": 0.76318359375}, {"start": 164.03, "end": 164.41, "word": " reach", "probability": 0.427001953125}, {"start": 164.41, "end": 165.45, "word": " the", "probability": 0.306640625}, {"start": 165.45, "end": 165.95, "word": " conclusion", "probability": 0.8037109375}, {"start": 165.95, "end": 166.27, "word": " of", "probability": 0.64599609375}, {"start": 166.27, "end": 166.37, "word": " the", "probability": 0.279052734375}, {"start": 166.37, "end": 166.87, "word": " two", "probability": 0.69970703125}, {"start": 166.87, "end": 166.87, "word": " laws,", "probability": 0.67431640625}, {"start": 167.01, "end": 167.13, "word": " the", "probability": 0.67041015625}, {"start": 167.13, "end": 167.31, "word": " law", "probability": 0.5673828125}, {"start": 167.31, "end": 167.47, "word": " of", "probability": 0.96875}, {"start": 167.47, "end": 167.95, "word": " refraction", "probability": 0.5552978515625}, {"start": 167.95, "end": 168.21, "word": " and", "probability": 0.92236328125}, {"start": 168.21, "end": 168.31, "word": " the", "probability": 0.82080078125}, {"start": 168.31, "end": 168.53, "word": " law", "probability": 0.90673828125}, {"start": 168.53, "end": 168.65, "word": " of", "probability": 0.97607421875}, {"start": 168.65, "end": 168.95, "word": " contraction,", "probability": 0.48095703125}, {"start": 169.13, "end": 169.51, "word": " using", "probability": 0.4541015625}, {"start": 169.51, "end": 169.69, "word": " the", "probability": 0.7509765625}, {"start": 169.69, "end": 169.81, "word": " principle", "probability": 0.537109375}, {"start": 169.81, "end": 169.99, "word": " of", "probability": 0.8193359375}, {"start": 169.99, "end": 170.31, "word": " Fermat", "probability": 0.886962890625}, {"start": 170.31, "end": 170.71, "word": " without", "probability": 0.497314453125}, {"start": 170.71, "end": 171.47, "word": " the", "probability": 0.468017578125}, {"start": 171.47, "end": 171.81, "word": " need", "probability": 0.8876953125}, {"start": 171.81, "end": 172.23, "word": " for", "probability": 0.62646484375}, {"start": 172.23, "end": 173.37, "word": " the", "probability": 0.77099609375}, {"start": 173.37, "end": 173.75, "word": " method", "probability": 0.51025390625}, {"start": 173.75, "end": 174.11, "word": " that", "probability": 0.33935546875}, {"start": 174.11, "end": 174.35, "word": " was", "probability": 0.5546875}, {"start": 174.35, "end": 174.79, "word": " proven", "probability": 0.498779296875}, {"start": 174.79, "end": 174.85, "word": " to", "probability": 0.28857421875}, {"start": 174.85, "end": 175.35, "word": " them", "probability": 0.72216796875}, {"start": 175.35, "end": 176.35, "word": " before", "probability": 0.433349609375}, {"start": 176.35, "end": 178.03, "word": " that", "probability": 0.783203125}, {"start": 178.03, "end": 179.71, "word": " Suppose", "probability": 0.237548828125}, {"start": 179.71, "end": 180.33, "word": " the", "probability": 0.83642578125}, {"start": 180.33, "end": 180.61, "word": " law", "probability": 0.93408203125}, {"start": 180.61, "end": 180.85, "word": " of", "probability": 0.9716796875}, {"start": 180.85, "end": 181.49, "word": " refraction", "probability": 0.890869140625}, {"start": 181.49, "end": 181.95, "word": " was", "probability": 0.939453125}, {"start": 181.95, "end": 182.89, "word": " unknown,", "probability": 0.69921875}, {"start": 183.13, "end": 183.41, "word": " let's", "probability": 0.716552734375}, {"start": 183.41, "end": 184.59, "word": " assume", "probability": 0.468505859375}, {"start": 184.59, "end": 185.01, "word": " now", "probability": 0.489013671875}, {"start": 185.01, "end": 185.45, "word": " that", "probability": 0.8544921875}, {"start": 185.45, "end": 185.65, "word": " the", "probability": 0.9140625}, {"start": 185.65, "end": 185.89, "word": " law", "probability": 0.92138671875}, {"start": 185.89, "end": 186.07, "word": " of", "probability": 0.97216796875}, {"start": 186.07, "end": 186.59, "word": " contraction", "probability": 0.57275390625}], "temperature": 1.0}, {"id": 10, "seek": 21694, "start": 190.06, "end": 216.94, "text": "لسه مش معروف، لسه مش مكتشر and consider .. consider a light travelling from a point source in air across an optical interface to some point in a glass بدنا نشوف أو بدنا نفترض أنه عندنا .. عندنا ضوء أو قانون الانكسار .. قانون الانكسار مش معروف و هي أن الضوء بدنا نفترض بيسافر من النقطة إيه في الهواء عبر مسارات عديدة", "tokens": [1211, 3794, 3224, 37893, 20449, 32887, 5172, 12399, 5296, 3794, 3224, 37893, 3714, 4117, 2655, 46309, 293, 1949, 4386, 1949, 257, 1442, 20515, 490, 257, 935, 4009, 294, 1988, 2108, 364, 20674, 9226, 281, 512, 935, 294, 257, 4276, 47525, 8315, 8717, 8592, 38688, 34051, 47525, 8315, 8717, 5172, 2655, 43042, 14739, 3224, 43242, 8315, 4386, 43242, 8315, 48812, 2407, 38207, 34051, 12174, 7649, 11536, 2423, 7649, 4117, 3794, 9640, 4386, 12174, 7649, 11536, 2423, 7649, 4117, 3794, 9640, 37893, 20449, 32887, 5172, 4032, 39896, 14739, 6024, 114, 2407, 38207, 47525, 8315, 8717, 5172, 2655, 43042, 4724, 1829, 3794, 31845, 2288, 9154, 28239, 47432, 3660, 11933, 1829, 3224, 8978, 2423, 3224, 2407, 16606, 6225, 26890, 47524, 9640, 9307, 6225, 16254, 41891], "avg_logprob": -0.16611168313710417, "compression_ratio": 1.7915057915057915, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 190.06, "end": 190.72, "word": "لسه", "probability": 0.5689493815104166}, {"start": 190.72, "end": 190.88, "word": " مش", "probability": 0.974609375}, {"start": 190.88, "end": 191.48, "word": " معروف،", "probability": 0.9224853515625}, {"start": 191.48, "end": 191.74, "word": " لسه", "probability": 0.97607421875}, {"start": 191.74, "end": 191.88, "word": " مش", "probability": 0.9755859375}, {"start": 191.88, "end": 192.4, "word": " مكتشر", "probability": 0.81048583984375}, {"start": 192.4, "end": 192.98, "word": " and", "probability": 0.1395263671875}, {"start": 192.98, "end": 193.5, "word": " consider", "probability": 0.9091796875}, {"start": 193.5, "end": 193.8, "word": " ..", "probability": 0.47509765625}, {"start": 193.8, "end": 194.26, "word": " consider", "probability": 0.9091796875}, {"start": 194.26, "end": 194.58, "word": " a", "probability": 0.95068359375}, {"start": 194.58, "end": 194.82, "word": " light", "probability": 0.90673828125}, {"start": 194.82, "end": 195.3, "word": " travelling", "probability": 0.49755859375}, {"start": 195.3, "end": 195.66, "word": " from", "probability": 0.908203125}, {"start": 195.66, "end": 195.92, "word": " a", "probability": 0.95361328125}, {"start": 195.92, "end": 196.18, "word": " point", "probability": 0.9814453125}, {"start": 196.18, "end": 196.54, "word": " source", "probability": 0.7119140625}, {"start": 196.54, "end": 196.8, "word": " in", "probability": 0.9541015625}, {"start": 196.8, "end": 197.08, "word": " air", "probability": 0.9140625}, {"start": 197.08, "end": 197.48, "word": " across", "probability": 0.751953125}, {"start": 197.48, "end": 197.82, "word": " an", "probability": 0.94482421875}, {"start": 197.82, "end": 198.18, "word": " optical", "probability": 0.95263671875}, {"start": 198.18, "end": 199.0, "word": " interface", "probability": 0.9296875}, {"start": 199.0, "end": 199.54, "word": " to", "probability": 0.95556640625}, {"start": 199.54, "end": 199.84, "word": " some", "probability": 0.9296875}, {"start": 199.84, "end": 200.22, "word": " point", "probability": 0.97802734375}, {"start": 200.22, "end": 200.42, "word": " in", "probability": 0.95947265625}, {"start": 200.42, "end": 200.5, "word": " a", "probability": 0.7060546875}, {"start": 200.5, "end": 200.76, "word": " glass", "probability": 0.83349609375}, {"start": 200.76, "end": 201.14, "word": " بدنا", "probability": 0.772216796875}, {"start": 201.14, "end": 201.54, "word": " نشوف", "probability": 0.99560546875}, {"start": 201.54, "end": 201.78, "word": " أو", "probability": 0.77099609375}, {"start": 201.78, "end": 202.0, "word": " بدنا", "probability": 0.977294921875}, {"start": 202.0, "end": 202.4, "word": " نفترض", "probability": 0.973388671875}, {"start": 202.4, "end": 203.3, "word": " أنه", "probability": 0.7215576171875}, {"start": 203.3, "end": 204.0, "word": " عندنا", "probability": 0.697509765625}, {"start": 204.0, "end": 204.04, "word": " ..", "probability": 0.916015625}, {"start": 204.04, "end": 204.9, "word": " عندنا", "probability": 0.98779296875}, {"start": 204.9, "end": 205.74, "word": " ضوء", "probability": 0.7600911458333334}, {"start": 205.74, "end": 206.0, "word": " أو", "probability": 0.83935546875}, {"start": 206.0, "end": 206.52, "word": " قانون", "probability": 0.99365234375}, {"start": 206.52, "end": 207.68, "word": " الانكسار", "probability": 0.822900390625}, {"start": 207.68, "end": 207.8, "word": " ..", "probability": 0.71630859375}, {"start": 207.8, "end": 208.12, "word": " قانون", "probability": 0.9767252604166666}, {"start": 208.12, "end": 208.82, "word": " الانكسار", "probability": 0.988671875}, {"start": 208.82, "end": 209.52, "word": " مش", "probability": 0.95703125}, {"start": 209.52, "end": 210.66, "word": " معروف", "probability": 0.9957682291666666}, {"start": 210.66, "end": 210.88, "word": " و", "probability": 0.69091796875}, {"start": 210.88, "end": 211.0, "word": " هي", "probability": 0.5283203125}, {"start": 211.0, "end": 211.16, "word": " أن", "probability": 0.82763671875}, {"start": 211.16, "end": 211.68, "word": " الضوء", "probability": 0.83685302734375}, {"start": 211.68, "end": 212.06, "word": " بدنا", "probability": 0.987060546875}, {"start": 212.06, "end": 212.52, "word": " نفترض", "probability": 0.99755859375}, {"start": 212.52, "end": 213.22, "word": " بيسافر", "probability": 0.94443359375}, {"start": 213.22, "end": 213.38, "word": " من", "probability": 0.9970703125}, {"start": 213.38, "end": 213.92, "word": " النقطة", "probability": 0.9261067708333334}, {"start": 213.92, "end": 214.12, "word": " إيه", "probability": 0.8203125}, {"start": 214.12, "end": 214.24, "word": " في", "probability": 0.94140625}, {"start": 214.24, "end": 214.72, "word": " الهواء", "probability": 0.8856201171875}, {"start": 214.72, "end": 215.78, "word": " عبر", "probability": 0.970458984375}, {"start": 215.78, "end": 216.36, "word": " مسارات", "probability": 0.9866536458333334}, {"start": 216.36, "end": 216.94, "word": " عديدة", "probability": 0.95751953125}], "temperature": 1.0}, {"id": 11, "seek": 24244, "start": 217.48, "end": 242.44, "text": "لا النقطة بيه داخل الزجاج, لا النقطة بيه داخل الزجاج, نهاية الرحلة and بيه، بداية الرحلة انطلق الضوء من ايه؟ وبدنا نفترض جدلا ان الضوء بياخد مسارات عديدة، ليش؟ لأن الضوء بينتشر في جميع الاتجاهات، احنا هذه المسارات العديدة، المسارات العديدة، لو حبنا نختصرها على تلت مسارات، مسار مستقيم", "tokens": [15040, 28239, 47432, 3660, 4724, 1829, 3224, 11778, 47283, 1211, 6024, 110, 7435, 26108, 11, 20193, 28239, 47432, 3660, 4724, 1829, 3224, 11778, 47283, 1211, 6024, 110, 7435, 26108, 11, 8717, 11296, 10632, 34892, 5016, 37977, 293, 4724, 1829, 3224, 12399, 4724, 28259, 10632, 34892, 5016, 37977, 16472, 9566, 1211, 4587, 6024, 114, 2407, 38207, 9154, 1975, 1829, 3224, 22807, 4032, 44510, 8315, 8717, 5172, 2655, 43042, 10874, 3215, 15040, 16472, 6024, 114, 2407, 38207, 4724, 1829, 47283, 3215, 47524, 9640, 9307, 6225, 16254, 41891, 12399, 32239, 8592, 22807, 5296, 33456, 6024, 114, 2407, 38207, 4724, 9957, 2655, 46309, 8978, 10874, 2304, 40228, 2423, 9307, 7435, 40294, 9307, 12399, 1975, 5016, 8315, 29538, 9673, 3794, 9640, 9307, 18863, 16254, 41891, 12399, 9673, 3794, 9640, 9307, 18863, 16254, 41891, 12399, 45164, 11331, 3555, 8315, 8717, 46456, 9381, 2288, 11296, 15844, 6055, 1211, 2655, 47524, 9640, 9307, 12399, 47524, 9640, 3714, 14851, 4587, 32640], "avg_logprob": -0.18341502878401014, "compression_ratio": 2.200854700854701, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 217.48, "end": 218.24, "word": "لا", "probability": 0.11016845703125}, {"start": 218.24, "end": 218.86, "word": " النقطة", "probability": 0.85595703125}, {"start": 218.86, "end": 219.08, "word": " بيه", "probability": 0.4984537760416667}, {"start": 219.08, "end": 219.52, "word": " داخل", "probability": 0.9703776041666666}, {"start": 219.52, "end": 220.16, "word": " الزجاج,", "probability": 0.9151611328125}, {"start": 220.22, "end": 220.38, "word": " لا", "probability": 0.376708984375}, {"start": 220.38, "end": 220.76, "word": " النقطة", "probability": 0.91650390625}, {"start": 220.76, "end": 220.94, "word": " بيه", "probability": 0.98095703125}, {"start": 220.94, "end": 221.28, "word": " داخل", "probability": 0.9768880208333334}, {"start": 221.28, "end": 221.68, "word": " الزجاج,", "probability": 0.9559326171875}, {"start": 221.72, "end": 222.22, "word": " نهاية", "probability": 0.7068684895833334}, {"start": 222.22, "end": 222.64, "word": " الرحلة", "probability": 0.9752604166666666}, {"start": 222.64, "end": 222.94, "word": " and", "probability": 0.8857421875}, {"start": 222.94, "end": 223.7, "word": " بيه،", "probability": 0.746368408203125}, {"start": 223.7, "end": 224.1, "word": " بداية", "probability": 0.9586588541666666}, {"start": 224.1, "end": 224.48, "word": " الرحلة", "probability": 0.9833984375}, {"start": 224.48, "end": 224.9, "word": " انطلق", "probability": 0.8389892578125}, {"start": 224.9, "end": 225.3, "word": " الضوء", "probability": 0.8763427734375}, {"start": 225.3, "end": 225.58, "word": " من", "probability": 0.9853515625}, {"start": 225.58, "end": 226.32, "word": " ايه؟", "probability": 0.77337646484375}, {"start": 226.32, "end": 226.88, "word": " وبدنا", "probability": 0.649658203125}, {"start": 226.88, "end": 227.74, "word": " نفترض", "probability": 0.96044921875}, {"start": 227.74, "end": 228.18, "word": " جدلا", "probability": 0.8639322916666666}, {"start": 228.18, "end": 228.4, "word": " ان", "probability": 0.4677734375}, {"start": 228.4, "end": 228.7, "word": " الضوء", "probability": 0.9287109375}, {"start": 228.7, "end": 229.08, "word": " بياخد", "probability": 0.9271240234375}, {"start": 229.08, "end": 229.66, "word": " مسارات", "probability": 0.9765625}, {"start": 229.66, "end": 230.14, "word": " عديدة،", "probability": 0.7979736328125}, {"start": 230.14, "end": 230.44, "word": " ليش؟", "probability": 0.9612630208333334}, {"start": 230.44, "end": 230.68, "word": " لأن", "probability": 0.6890869140625}, {"start": 230.68, "end": 231.0, "word": " الضوء", "probability": 0.9246826171875}, {"start": 231.0, "end": 231.5, "word": " بينتشر", "probability": 0.860107421875}, {"start": 231.5, "end": 231.66, "word": " في", "probability": 0.97412109375}, {"start": 231.66, "end": 232.0, "word": " جميع", "probability": 0.9886067708333334}, {"start": 232.0, "end": 233.06, "word": " الاتجاهات،", "probability": 0.85302734375}, {"start": 233.06, "end": 233.28, "word": " احنا", "probability": 0.9635416666666666}, {"start": 233.28, "end": 233.52, "word": " هذه", "probability": 0.83251953125}, {"start": 233.52, "end": 234.18, "word": " المسارات", "probability": 0.9771728515625}, {"start": 234.18, "end": 235.4, "word": " العديدة،", "probability": 0.941650390625}, {"start": 235.4, "end": 236.1, "word": " المسارات", "probability": 0.9810791015625}, {"start": 236.1, "end": 237.2, "word": " العديدة،", "probability": 0.88232421875}, {"start": 237.2, "end": 237.5, "word": " لو", "probability": 0.9921875}, {"start": 237.5, "end": 238.86, "word": " حبنا", "probability": 0.8785807291666666}, {"start": 238.86, "end": 239.66, "word": " نختصرها", "probability": 0.9328125}, {"start": 239.66, "end": 239.78, "word": " على", "probability": 0.383544921875}, {"start": 239.78, "end": 240.08, "word": " تلت", "probability": 0.9140625}, {"start": 240.08, "end": 241.38, "word": " مسارات،", "probability": 0.9881591796875}, {"start": 241.38, "end": 241.78, "word": " مسار", "probability": 0.98779296875}, {"start": 241.78, "end": 242.44, "word": " مستقيم", "probability": 0.983154296875}], "temperature": 1.0}, {"id": 12, "seek": 27139, "start": 243.68, "end": 271.4, "text": "and two paths that are not straight, that is, they come from angles, that is, the light went and reached this point and then it broke or the light goes in a straight way from A to B because if it reaches B or path number one which is the path number one now we are from the many paths taken by light and from thousands and hundreds of thousands and an infinite number of paths taken by light", "tokens": [474, 732, 14518, 300, 366, 406, 2997, 11, 300, 307, 11, 436, 808, 490, 14708, 11, 300, 307, 11, 264, 1442, 1437, 293, 6488, 341, 935, 293, 550, 309, 6902, 420, 264, 1442, 1709, 294, 257, 2997, 636, 490, 316, 281, 363, 570, 498, 309, 14235, 363, 420, 3100, 1230, 472, 597, 307, 264, 3100, 1230, 472, 586, 321, 366, 490, 264, 867, 14518, 2726, 538, 1442, 293, 490, 5383, 293, 6779, 295, 5383, 293, 364, 13785, 1230, 295, 14518, 2726, 538, 1442], "avg_logprob": -0.4661458461057572, "compression_ratio": 1.9747474747474747, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 243.68, "end": 244.18, "word": "and", "probability": 0.59326171875}, {"start": 244.18, "end": 244.68, "word": " two", "probability": 0.77978515625}, {"start": 244.68, "end": 244.68, "word": " paths", "probability": 0.49755859375}, {"start": 244.68, "end": 245.26, "word": " that", "probability": 0.56494140625}, {"start": 245.26, "end": 245.26, "word": " are", "probability": 0.59423828125}, {"start": 245.26, "end": 245.38, "word": " not", "probability": 0.88134765625}, {"start": 245.38, "end": 245.78, "word": " straight,", "probability": 0.6611328125}, {"start": 246.02, "end": 246.08, "word": " that", "probability": 0.236083984375}, {"start": 246.08, "end": 246.14, "word": " is,", "probability": 0.359130859375}, {"start": 246.18, "end": 246.5, "word": " they", "probability": 0.4384765625}, {"start": 246.5, "end": 246.5, "word": " come", "probability": 0.3408203125}, {"start": 246.5, "end": 246.7, "word": " from", "probability": 0.46826171875}, {"start": 246.7, "end": 247.0, "word": " angles,", "probability": 0.24267578125}, {"start": 247.12, "end": 247.26, "word": " that", "probability": 0.458740234375}, {"start": 247.26, "end": 247.26, "word": " is,", "probability": 0.89111328125}, {"start": 247.32, "end": 247.44, "word": " the", "probability": 0.822265625}, {"start": 247.44, "end": 247.56, "word": " light", "probability": 0.8037109375}, {"start": 247.56, "end": 247.92, "word": " went", "probability": 0.5556640625}, {"start": 247.92, "end": 248.28, "word": " and", "probability": 0.254638671875}, {"start": 248.28, "end": 248.48, "word": " reached", "probability": 0.7705078125}, {"start": 248.48, "end": 248.66, "word": " this", "probability": 0.82470703125}, {"start": 248.66, "end": 248.88, "word": " point", "probability": 0.94580078125}, {"start": 248.88, "end": 249.2, "word": " and", "probability": 0.51904296875}, {"start": 249.2, "end": 249.42, "word": " then", "probability": 0.7890625}, {"start": 249.42, "end": 249.52, "word": " it", "probability": 0.338134765625}, {"start": 249.52, "end": 249.72, "word": " broke", "probability": 0.58544921875}, {"start": 249.72, "end": 250.76, "word": " or", "probability": 0.3154296875}, {"start": 250.76, "end": 250.94, "word": " the", "probability": 0.84619140625}, {"start": 250.94, "end": 251.16, "word": " light", "probability": 0.84375}, {"start": 251.16, "end": 252.04, "word": " goes", "probability": 0.525390625}, {"start": 252.04, "end": 252.28, "word": " in", "probability": 0.4755859375}, {"start": 252.28, "end": 253.54, "word": " a", "probability": 0.96484375}, {"start": 253.54, "end": 254.34, "word": " straight", "probability": 0.6103515625}, {"start": 254.34, "end": 254.58, "word": " way", "probability": 0.45556640625}, {"start": 254.58, "end": 254.86, "word": " from", "probability": 0.6123046875}, {"start": 254.86, "end": 255.34, "word": " A", "probability": 0.9228515625}, {"start": 255.34, "end": 255.66, "word": " to", "probability": 0.97900390625}, {"start": 255.66, "end": 255.9, "word": " B", "probability": 0.990234375}, {"start": 255.9, "end": 256.22, "word": " because", "probability": 0.330078125}, {"start": 256.22, "end": 256.42, "word": " if", "probability": 0.408203125}, {"start": 256.42, "end": 256.66, "word": " it", "probability": 0.8935546875}, {"start": 256.66, "end": 256.66, "word": " reaches", "probability": 0.640625}, {"start": 256.66, "end": 256.96, "word": " B", "probability": 0.744140625}, {"start": 256.96, "end": 257.82, "word": " or", "probability": 0.72705078125}, {"start": 257.82, "end": 258.36, "word": " path", "probability": 0.50634765625}, {"start": 258.36, "end": 258.68, "word": " number", "probability": 0.83251953125}, {"start": 258.68, "end": 258.96, "word": " one", "probability": 0.71875}, {"start": 258.96, "end": 259.06, "word": " which", "probability": 0.59033203125}, {"start": 259.06, "end": 259.22, "word": " is", "probability": 0.8681640625}, {"start": 259.22, "end": 259.34, "word": " the", "probability": 0.305419921875}, {"start": 259.34, "end": 259.58, "word": " path", "probability": 0.525390625}, {"start": 259.58, "end": 259.96, "word": " number", "probability": 0.8916015625}, {"start": 259.96, "end": 262.08, "word": " one", "probability": 0.89013671875}, {"start": 262.08, "end": 262.86, "word": " now", "probability": 0.33203125}, {"start": 262.86, "end": 263.16, "word": " we", "probability": 0.59326171875}, {"start": 263.16, "end": 263.78, "word": " are", "probability": 0.673828125}, {"start": 263.78, "end": 264.02, "word": " from", "probability": 0.61572265625}, {"start": 264.02, "end": 264.3, "word": " the", "probability": 0.86376953125}, {"start": 264.3, "end": 264.42, "word": " many", "probability": 0.87060546875}, {"start": 264.42, "end": 265.04, "word": " paths", "probability": 0.75439453125}, {"start": 265.04, "end": 266.14, "word": " taken", "probability": 0.385498046875}, {"start": 266.14, "end": 266.28, "word": " by", "probability": 0.94140625}, {"start": 266.28, "end": 266.6, "word": " light", "probability": 0.55029296875}, {"start": 266.6, "end": 267.34, "word": " and", "probability": 0.783203125}, {"start": 267.34, "end": 267.54, "word": " from", "probability": 0.75537109375}, {"start": 267.54, "end": 268.02, "word": " thousands", "probability": 0.775390625}, {"start": 268.02, "end": 268.2, "word": " and", "probability": 0.87548828125}, {"start": 268.2, "end": 268.46, "word": " hundreds", "probability": 0.904296875}, {"start": 268.46, "end": 268.66, "word": " of", "probability": 0.880859375}, {"start": 268.66, "end": 268.88, "word": " thousands", "probability": 0.923828125}, {"start": 268.88, "end": 269.04, "word": " and", "probability": 0.73193359375}, {"start": 269.04, "end": 269.32, "word": " an", "probability": 0.60205078125}, {"start": 269.32, "end": 269.54, "word": " infinite", "probability": 0.499755859375}, {"start": 269.54, "end": 269.64, "word": " number", "probability": 0.95068359375}, {"start": 269.64, "end": 270.04, "word": " of", "probability": 0.9638671875}, {"start": 270.04, "end": 270.48, "word": " paths", "probability": 0.77294921875}, {"start": 270.48, "end": 271.0, "word": " taken", "probability": 0.650390625}, {"start": 271.0, "end": 271.12, "word": " by", "probability": 0.96337890625}, {"start": 271.12, "end": 271.4, "word": " light", "probability": 0.849609375}], "temperature": 1.0}, {"id": 13, "seek": 27770, "start": 271.82, "end": 277.7, "text": "We shortened it to study, to see what firms will do", "tokens": [4360, 45183, 309, 281, 2979, 11, 281, 536, 437, 18055, 486, 360], "avg_logprob": -0.7241586355062631, "compression_ratio": 0.9272727272727272, "no_speech_prob": 0.0, "words": [{"start": 271.82, "end": 272.2, "word": "We", "probability": 0.74462890625}, {"start": 272.2, "end": 272.78, "word": " shortened", "probability": 0.1260986328125}, {"start": 272.78, "end": 273.04, "word": " it", "probability": 0.55224609375}, {"start": 273.04, "end": 273.22, "word": " to", "probability": 0.415771484375}, {"start": 273.22, "end": 273.72, "word": " study,", "probability": 0.7763671875}, {"start": 274.26, "end": 274.54, "word": " to", "probability": 0.6796875}, {"start": 274.54, "end": 276.3, "word": " see", "probability": 0.70849609375}, {"start": 276.3, "end": 276.68, "word": " what", "probability": 0.4775390625}, {"start": 276.68, "end": 276.94, "word": " firms", "probability": 0.30224609375}, {"start": 276.94, "end": 277.36, "word": " will", "probability": 0.382080078125}, {"start": 277.36, "end": 277.7, "word": " do", "probability": 0.880859375}], "temperature": 1.0}, {"id": 14, "seek": 30230, "start": 278.4, "end": 302.3, "text": "On three paths, a straight path, a slightly curved path, a much curved path, a much curved path And we come to see which path is better for light What does better for light mean? It means the path that will take the least time possible to light in it The path that will take the least time possible to light in it We say as follows", "tokens": [11747, 1045, 14518, 11, 257, 2997, 3100, 11, 257, 4748, 24991, 3100, 11, 257, 709, 24991, 3100, 11, 257, 709, 24991, 3100, 400, 321, 808, 281, 536, 597, 3100, 307, 1101, 337, 1442, 708, 775, 1101, 337, 1442, 914, 30, 467, 1355, 264, 3100, 300, 486, 747, 264, 1935, 565, 1944, 281, 1442, 294, 309, 440, 3100, 300, 486, 747, 264, 1935, 565, 1944, 281, 1442, 294, 309, 492, 584, 382, 10002], "avg_logprob": -0.42444348335266113, "compression_ratio": 2.0949367088607596, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 278.4, "end": 278.76, "word": "On", "probability": 0.46142578125}, {"start": 278.76, "end": 279.16, "word": " three", "probability": 0.89794921875}, {"start": 279.16, "end": 279.62, "word": " paths,", "probability": 0.38916015625}, {"start": 279.84, "end": 280.12, "word": " a", "probability": 0.414306640625}, {"start": 280.12, "end": 280.54, "word": " straight", "probability": 0.8984375}, {"start": 280.54, "end": 280.68, "word": " path,", "probability": 0.8759765625}, {"start": 280.9, "end": 281.36, "word": " a", "probability": 0.83984375}, {"start": 281.36, "end": 282.08, "word": " slightly", "probability": 0.24560546875}, {"start": 282.08, "end": 282.08, "word": " curved", "probability": 0.6640625}, {"start": 282.08, "end": 282.08, "word": " path,", "probability": 0.91845703125}, {"start": 282.44, "end": 282.76, "word": " a", "probability": 0.26953125}, {"start": 282.76, "end": 283.9, "word": " much", "probability": 0.2474365234375}, {"start": 283.9, "end": 283.98, "word": " curved", "probability": 0.74365234375}, {"start": 283.98, "end": 283.98, "word": " path,", "probability": 0.91259765625}, {"start": 284.06, "end": 284.42, "word": " a", "probability": 0.71240234375}, {"start": 284.42, "end": 284.42, "word": " much", "probability": 0.83203125}, {"start": 284.42, "end": 284.7, "word": " curved", "probability": 0.9521484375}, {"start": 284.7, "end": 285.1, "word": " path", "probability": 0.927734375}, {"start": 285.1, "end": 286.22, "word": " And", "probability": 0.701171875}, {"start": 286.22, "end": 286.86, "word": " we", "probability": 0.6796875}, {"start": 286.86, "end": 287.04, "word": " come", "probability": 0.373046875}, {"start": 287.04, "end": 287.58, "word": " to", "probability": 0.626953125}, {"start": 287.58, "end": 287.94, "word": " see", "probability": 0.84912109375}, {"start": 287.94, "end": 288.66, "word": " which", "probability": 0.67236328125}, {"start": 288.66, "end": 289.26, "word": " path", "probability": 0.28515625}, {"start": 289.26, "end": 289.4, "word": " is", "probability": 0.916015625}, {"start": 289.4, "end": 289.82, "word": " better", "probability": 0.5087890625}, {"start": 289.82, "end": 289.96, "word": " for", "probability": 0.65234375}, {"start": 289.96, "end": 290.18, "word": " light", "probability": 0.27734375}, {"start": 290.18, "end": 290.78, "word": " What", "probability": 0.416259765625}, {"start": 290.78, "end": 291.02, "word": " does", "probability": 0.62060546875}, {"start": 291.02, "end": 291.4, "word": " better", "probability": 0.52880859375}, {"start": 291.4, "end": 291.58, "word": " for", "probability": 0.53662109375}, {"start": 291.58, "end": 291.74, "word": " light", "probability": 0.8935546875}, {"start": 291.74, "end": 291.74, "word": " mean?", "probability": 0.9150390625}, {"start": 291.76, "end": 291.92, "word": " It", "probability": 0.5185546875}, {"start": 291.92, "end": 292.16, "word": " means", "probability": 0.89892578125}, {"start": 292.16, "end": 292.76, "word": " the", "probability": 0.73779296875}, {"start": 292.76, "end": 293.26, "word": " path", "probability": 0.8671875}, {"start": 293.26, "end": 293.58, "word": " that", "probability": 0.79248046875}, {"start": 293.58, "end": 293.82, "word": " will", "probability": 0.372802734375}, {"start": 293.82, "end": 294.14, "word": " take", "probability": 0.8349609375}, {"start": 294.14, "end": 294.34, "word": " the", "probability": 0.4267578125}, {"start": 294.34, "end": 294.6, "word": " least", "probability": 0.90966796875}, {"start": 294.6, "end": 295.0, "word": " time", "probability": 0.4404296875}, {"start": 295.0, "end": 295.58, "word": " possible", "probability": 0.5263671875}, {"start": 295.58, "end": 296.6, "word": " to", "probability": 0.720703125}, {"start": 296.6, "end": 296.86, "word": " light", "probability": 0.6435546875}, {"start": 296.86, "end": 297.16, "word": " in", "probability": 0.340576171875}, {"start": 297.16, "end": 297.48, "word": " it", "probability": 0.2939453125}, {"start": 297.48, "end": 297.54, "word": " The", "probability": 0.53076171875}, {"start": 297.54, "end": 297.88, "word": " path", "probability": 0.91259765625}, {"start": 297.88, "end": 298.08, "word": " that", "probability": 0.90673828125}, {"start": 298.08, "end": 298.24, "word": " will", "probability": 0.8330078125}, {"start": 298.24, "end": 298.64, "word": " take", "probability": 0.828125}, {"start": 298.64, "end": 299.4, "word": " the", "probability": 0.470458984375}, {"start": 299.4, "end": 299.94, "word": " least", "probability": 0.9091796875}, {"start": 299.94, "end": 300.46, "word": " time", "probability": 0.8466796875}, {"start": 300.46, "end": 300.92, "word": " possible", "probability": 0.95849609375}, {"start": 300.92, "end": 300.92, "word": " to", "probability": 0.87255859375}, {"start": 300.92, "end": 300.92, "word": " light", "probability": 0.91455078125}, {"start": 300.92, "end": 300.92, "word": " in", "probability": 0.8955078125}, {"start": 300.92, "end": 301.22, "word": " it", "probability": 0.92724609375}, {"start": 301.22, "end": 301.48, "word": " We", "probability": 0.716796875}, {"start": 301.48, "end": 301.78, "word": " say", "probability": 0.80810546875}, {"start": 301.78, "end": 301.96, "word": " as", "probability": 0.80029296875}, {"start": 301.96, "end": 302.3, "word": " follows", "probability": 0.75634765625}], "temperature": 1.0}, {"id": 15, "seek": 30923, "start": 302.87, "end": 309.23, "text": "مفهوم ضمن واتعلمنا في المدارس أن أقصر طريق بين نقطتين ..", "tokens": [2304, 5172, 3224, 20498, 48812, 27842, 4032, 9307, 3615, 19528, 8315, 8978, 9673, 3215, 9640, 3794, 14739, 5551, 4587, 9381, 2288, 23032, 16572, 4587, 49374, 8717, 47432, 2655, 9957, 4386], "avg_logprob": -0.261592730399101, "compression_ratio": 1.1627906976744187, "no_speech_prob": 2.9802322387695312e-06, "words": [{"start": 302.87, "end": 303.93, "word": "مفهوم", "probability": 0.747314453125}, {"start": 303.93, "end": 304.63, "word": " ضمن", "probability": 0.949951171875}, {"start": 304.63, "end": 305.91, "word": " واتعلمنا", "probability": 0.830224609375}, {"start": 305.91, "end": 306.03, "word": " في", "probability": 0.8701171875}, {"start": 306.03, "end": 306.63, "word": " المدارس", "probability": 0.9842529296875}, {"start": 306.63, "end": 306.81, "word": " أن", "probability": 0.36865234375}, {"start": 306.81, "end": 307.55, "word": " أقصر", "probability": 0.910888671875}, {"start": 307.55, "end": 307.99, "word": " طريق", "probability": 0.7867838541666666}, {"start": 307.99, "end": 308.25, "word": " بين", "probability": 0.92919921875}, {"start": 308.25, "end": 308.99, "word": " نقطتين", "probability": 0.9613037109375}, {"start": 308.99, "end": 309.23, "word": " ..", "probability": 0.84619140625}], "temperature": 1.0}, {"id": 16, "seek": 33463, "start": 310.23, "end": 334.63, "text": "The shortest way between two points is the straight line. So if we ask which of the three paths, path one or path two or path three is the shortest distance, we say path three. So it is better for the light to take it. In fact, mathematically speaking, without considering the speed of light,", "tokens": [2278, 31875, 636, 1296, 732, 2793, 307, 264, 2997, 1622, 13, 407, 498, 321, 1029, 597, 295, 264, 1045, 14518, 11, 3100, 472, 420, 3100, 732, 420, 3100, 1045, 307, 264, 31875, 4560, 11, 321, 584, 3100, 1045, 13, 407, 309, 307, 1101, 337, 264, 1442, 281, 747, 309, 13, 682, 1186, 11, 44003, 4124, 11, 1553, 8079, 264, 3073, 295, 1442, 11], "avg_logprob": -0.452880862634629, "compression_ratio": 1.6404494382022472, "no_speech_prob": 2.2649765014648438e-06, "words": [{"start": 310.23, "end": 310.41, "word": "The", "probability": 0.40283203125}, {"start": 310.41, "end": 310.79, "word": " shortest", "probability": 0.97705078125}, {"start": 310.79, "end": 311.15, "word": " way", "probability": 0.421630859375}, {"start": 311.15, "end": 311.47, "word": " between", "probability": 0.603515625}, {"start": 311.47, "end": 312.07, "word": " two", "probability": 0.5419921875}, {"start": 312.07, "end": 312.07, "word": " points", "probability": 0.70068359375}, {"start": 312.07, "end": 312.85, "word": " is", "probability": 0.84228515625}, {"start": 312.85, "end": 313.53, "word": " the", "probability": 0.6806640625}, {"start": 313.53, "end": 314.29, "word": " straight", "probability": 0.8212890625}, {"start": 314.29, "end": 314.29, "word": " line.", "probability": 0.8447265625}, {"start": 314.81, "end": 315.01, "word": " So", "probability": 0.2666015625}, {"start": 315.01, "end": 315.17, "word": " if", "probability": 0.72509765625}, {"start": 315.17, "end": 315.31, "word": " we", "probability": 0.85205078125}, {"start": 315.31, "end": 315.55, "word": " ask", "probability": 0.66162109375}, {"start": 315.55, "end": 316.01, "word": " which", "probability": 0.453857421875}, {"start": 316.01, "end": 316.21, "word": " of", "probability": 0.6083984375}, {"start": 316.21, "end": 316.21, "word": " the", "probability": 0.70361328125}, {"start": 316.21, "end": 317.05, "word": " three", "probability": 0.7958984375}, {"start": 317.05, "end": 317.05, "word": " paths,", "probability": 0.48046875}, {"start": 317.31, "end": 317.65, "word": " path", "probability": 0.7646484375}, {"start": 317.65, "end": 317.99, "word": " one", "probability": 0.54052734375}, {"start": 317.99, "end": 318.23, "word": " or", "probability": 0.476806640625}, {"start": 318.23, "end": 318.55, "word": " path", "probability": 0.79296875}, {"start": 318.55, "end": 318.79, "word": " two", "probability": 0.93994140625}, {"start": 318.79, "end": 318.97, "word": " or", "probability": 0.89453125}, {"start": 318.97, "end": 319.33, "word": " path", "probability": 0.93798828125}, {"start": 319.33, "end": 319.73, "word": " three", "probability": 0.92919921875}, {"start": 319.73, "end": 321.61, "word": " is", "probability": 0.446533203125}, {"start": 321.61, "end": 321.75, "word": " the", "probability": 0.69384765625}, {"start": 321.75, "end": 321.99, "word": " shortest", "probability": 0.9658203125}, {"start": 321.99, "end": 322.89, "word": " distance,", "probability": 0.4296875}, {"start": 324.17, "end": 324.21, "word": " we", "probability": 0.67578125}, {"start": 324.21, "end": 324.73, "word": " say", "probability": 0.32275390625}, {"start": 324.73, "end": 325.03, "word": " path", "probability": 0.87060546875}, {"start": 325.03, "end": 325.37, "word": " three.", "probability": 0.9189453125}, {"start": 325.61, "end": 325.93, "word": " So", "probability": 0.8095703125}, {"start": 325.93, "end": 326.05, "word": " it", "probability": 0.58544921875}, {"start": 326.05, "end": 326.11, "word": " is", "probability": 0.634765625}, {"start": 326.11, "end": 326.49, "word": " better", "probability": 0.1785888671875}, {"start": 326.49, "end": 326.69, "word": " for", "probability": 0.88232421875}, {"start": 326.69, "end": 326.83, "word": " the", "probability": 0.397216796875}, {"start": 326.83, "end": 326.97, "word": " light", "probability": 0.69140625}, {"start": 326.97, "end": 327.17, "word": " to", "probability": 0.9169921875}, {"start": 327.17, "end": 327.53, "word": " take", "probability": 0.552734375}, {"start": 327.53, "end": 327.69, "word": " it.", "probability": 0.7158203125}, {"start": 328.15, "end": 328.37, "word": " In", "probability": 0.30810546875}, {"start": 328.37, "end": 328.73, "word": " fact,", "probability": 0.8193359375}, {"start": 329.93, "end": 330.43, "word": " mathematically", "probability": 0.484130859375}, {"start": 330.43, "end": 331.43, "word": " speaking,", "probability": 0.269287109375}, {"start": 332.71, "end": 332.85, "word": " without", "probability": 0.62353515625}, {"start": 332.85, "end": 333.79, "word": " considering", "probability": 0.55322265625}, {"start": 333.79, "end": 333.89, "word": " the", "probability": 0.7998046875}, {"start": 333.89, "end": 334.05, "word": " speed", "probability": 0.8955078125}, {"start": 334.05, "end": 334.27, "word": " of", "probability": 0.96484375}, {"start": 334.27, "end": 334.63, "word": " light,", "probability": 0.7421875}], "temperature": 1.0}, {"id": 17, "seek": 34850, "start": 335.02, "end": 348.5, "text": "بنقول نعم المسار هو الأقصى، بس هذا المسار حقيقة غير مناسب للضوء، ليش؟ لأن جزء كبير من المسار هذا، جزء كبير من المسار هذا، بيقع داخل الزجاجة", "tokens": [3555, 1863, 39648, 8717, 25957, 9673, 3794, 9640, 31439, 16247, 4587, 9381, 7578, 12399, 4724, 3794, 23758, 9673, 3794, 9640, 11331, 38436, 28671, 32771, 13546, 3714, 8315, 35457, 24976, 11242, 2407, 38207, 12399, 32239, 8592, 22807, 5296, 33456, 10874, 11622, 38207, 9122, 3555, 13546, 9154, 9673, 3794, 9640, 23758, 12399, 10874, 11622, 38207, 9122, 3555, 13546, 9154, 9673, 3794, 9640, 23758, 12399, 4724, 1829, 4587, 3615, 11778, 47283, 1211, 6024, 110, 7435, 26108, 3660], "avg_logprob": -0.12593749523162842, "compression_ratio": 1.8129496402877698, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 335.02, "end": 335.72, "word": "بنقول", "probability": 0.6513468424479166}, {"start": 335.72, "end": 336.16, "word": " نعم", "probability": 0.94384765625}, {"start": 336.16, "end": 337.08, "word": " المسار", "probability": 0.8380533854166666}, {"start": 337.08, "end": 337.26, "word": " هو", "probability": 0.99365234375}, {"start": 337.26, "end": 338.16, "word": " الأقصى،", "probability": 0.805908203125}, {"start": 338.16, "end": 338.44, "word": " بس", "probability": 0.992431640625}, {"start": 338.44, "end": 338.6, "word": " هذا", "probability": 0.86083984375}, {"start": 338.6, "end": 339.0, "word": " المسار", "probability": 0.9889322916666666}, {"start": 339.0, "end": 339.54, "word": " حقيقة", "probability": 0.8624674479166666}, {"start": 339.54, "end": 339.9, "word": " غير", "probability": 0.9931640625}, {"start": 339.9, "end": 340.42, "word": " مناسب", "probability": 0.955078125}, {"start": 340.42, "end": 340.92, "word": " للضوء،", "probability": 0.86279296875}, {"start": 340.92, "end": 341.88, "word": " ليش؟", "probability": 0.900390625}, {"start": 341.88, "end": 342.18, "word": " لأن", "probability": 0.924072265625}, {"start": 342.18, "end": 342.66, "word": " جزء", "probability": 0.880859375}, {"start": 342.66, "end": 343.16, "word": " كبير", "probability": 0.9951171875}, {"start": 343.16, "end": 343.4, "word": " من", "probability": 0.98974609375}, {"start": 343.4, "end": 344.0, "word": " المسار", "probability": 0.9912109375}, {"start": 344.0, "end": 344.54, "word": " هذا،", "probability": 0.805908203125}, {"start": 344.54, "end": 345.4, "word": " جزء", "probability": 0.97900390625}, {"start": 345.4, "end": 345.74, "word": " كبير", "probability": 0.9978841145833334}, {"start": 345.74, "end": 345.86, "word": " من", "probability": 0.9931640625}, {"start": 345.86, "end": 346.32, "word": " المسار", "probability": 0.9939778645833334}, {"start": 346.32, "end": 346.9, "word": " هذا،", "probability": 0.800537109375}, {"start": 346.9, "end": 347.36, "word": " بيقع", "probability": 0.86865234375}, {"start": 347.36, "end": 347.8, "word": " داخل", "probability": 0.9763997395833334}, {"start": 347.8, "end": 348.5, "word": " الزجاجة", "probability": 0.942578125}], "temperature": 1.0}, {"id": 18, "seek": 37727, "start": 348.75, "end": 377.27, "text": "ومعروف إن الضوء داخل الزجاج بيكون بطيق ومعروف إن الضوء داخل الزجاج بيكون بطيق ومعروف إن الضوء داخل الزجاج بيكون بطيق ومعروف إن الضوء داخل الزجاج بيكون بطيق ومعروف إن الضوء داخل الزجاج بيكون بطيق ومعروف إن الضوء داخل الزجاج بيكون بطيق ومعروف إن الضوء داخل الزجاج بيكون بطيق ومعروف إن الضوء داخل الزجاج بيكون بطيق ومعروف إن الضوء داخل الزجاج بيكون بطيق ومعروف إن الض", "tokens": [2407, 2304, 3615, 32887, 5172, 36145, 2423, 11242, 2407, 38207, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4724, 1829, 30544, 4724, 9566, 1829, 4587, 4032, 2304, 3615, 32887, 5172, 36145, 6024, 114, 2407, 38207, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4724, 1829, 30544, 4724, 9566, 1829, 4587, 4032, 2304, 3615, 32887, 5172, 36145, 6024, 114, 2407, 38207, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4724, 1829, 30544, 4724, 9566, 1829, 4587, 4032, 2304, 3615, 32887, 5172, 36145, 6024, 114, 2407, 38207, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4724, 1829, 30544, 4724, 9566, 1829, 4587, 4032, 2304, 3615, 32887, 5172, 36145, 2423, 11242, 2407, 38207, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4724, 1829, 30544, 4724, 9566, 1829, 4587, 4032, 2304, 3615, 32887, 5172, 36145, 2423, 11242, 2407, 38207, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4724, 1829, 30544, 4724, 9566, 1829, 4587, 4032, 2304, 3615, 32887, 5172, 36145, 2423, 11242, 2407, 38207, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4724, 1829, 30544, 4724, 9566, 1829, 4587, 4032, 2304, 3615, 32887, 5172, 36145, 2423, 11242, 2407, 38207, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4724, 1829, 30544, 4724, 9566, 1829, 4587, 4032, 2304, 3615, 32887, 5172, 36145, 2423, 11242, 2407, 38207, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4724, 1829, 30544, 4724, 9566, 1829, 4587, 4032, 2304, 3615, 32887, 5172, 36145, 2423, 11242], "avg_logprob": -0.09347222540113662, "compression_ratio": 8.39240506329114, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 348.75, "end": 349.33, "word": "ومعروف", "probability": 0.8123046875}, {"start": 349.33, "end": 349.49, "word": " إن", "probability": 0.404541015625}, {"start": 349.49, "end": 349.87, "word": " الضوء", "probability": 0.74664306640625}, {"start": 349.87, "end": 350.25, "word": " داخل", "probability": 0.98046875}, {"start": 350.25, "end": 350.87, "word": " الزجاج", "probability": 0.9144287109375}, {"start": 350.87, "end": 351.33, "word": " بيكون", "probability": 0.9513346354166666}, {"start": 351.33, "end": 351.79, "word": " بطيق", "probability": 0.891357421875}, {"start": 351.79, "end": 359.89, "word": " ومعروف", "probability": 0.736572265625}, {"start": 359.89, "end": 359.89, "word": " إن", "probability": 0.92333984375}, {"start": 359.89, "end": 361.21, "word": " الضوء", "probability": 0.856689453125}, {"start": 361.21, "end": 361.69, "word": " داخل", "probability": 0.95947265625}, {"start": 361.69, "end": 361.91, "word": " الزجاج", "probability": 0.912109375}, {"start": 361.91, "end": 362.37, "word": " بيكون", "probability": 0.98486328125}, {"start": 362.37, "end": 362.95, "word": " بطيق", "probability": 0.9881591796875}, {"start": 362.95, "end": 362.95, "word": " ومعروف", "probability": 0.820947265625}, {"start": 362.95, "end": 362.95, "word": " إن", "probability": 0.98291015625}, {"start": 362.95, "end": 362.95, "word": " الضوء", "probability": 0.87335205078125}, {"start": 362.95, "end": 362.95, "word": " داخل", "probability": 0.97607421875}, {"start": 362.95, "end": 362.95, "word": " الزجاج", "probability": 0.9727783203125}, {"start": 362.95, "end": 362.95, "word": " بيكون", "probability": 0.9951171875}, {"start": 362.95, "end": 362.97, "word": " بطيق", "probability": 0.9942626953125}, {"start": 362.97, "end": 363.11, "word": " ومعروف", "probability": 0.8269775390625}, {"start": 363.11, "end": 363.11, "word": " إن", "probability": 0.9833984375}, {"start": 363.11, "end": 363.57, "word": " الضوء", "probability": 0.867919921875}, {"start": 363.57, "end": 364.55, "word": " داخل", "probability": 0.9680989583333334}, {"start": 364.55, "end": 364.55, "word": " الزجاج", "probability": 0.9775390625}, {"start": 364.55, "end": 364.55, "word": " بيكون", "probability": 0.9939778645833334}, {"start": 364.55, "end": 364.85, "word": " بطيق", "probability": 0.994140625}, {"start": 364.85, "end": 368.57, "word": " ومعروف", "probability": 0.859033203125}, {"start": 368.57, "end": 368.59, "word": " إن", "probability": 0.98583984375}, {"start": 368.59, "end": 369.27, "word": " الضوء", "probability": 0.814208984375}, {"start": 369.27, "end": 369.95, "word": " داخل", "probability": 0.9588216145833334}, {"start": 369.95, "end": 370.77, "word": " الزجاج", "probability": 0.978515625}, {"start": 370.77, "end": 370.87, "word": " بيكون", "probability": 0.9925130208333334}, {"start": 370.87, "end": 371.01, "word": " بطيق", "probability": 0.9937744140625}, {"start": 371.01, "end": 371.09, "word": " ومعروف", "probability": 0.8888671875}, {"start": 371.09, "end": 371.63, "word": " إن", "probability": 0.98681640625}, {"start": 371.63, "end": 372.13, "word": " الضوء", "probability": 0.9034423828125}, {"start": 372.13, "end": 372.75, "word": " داخل", "probability": 0.95556640625}, {"start": 372.75, "end": 373.15, "word": " الزجاج", "probability": 0.9791259765625}, {"start": 373.15, "end": 373.27, "word": " بيكون", "probability": 0.9925130208333334}, {"start": 373.27, "end": 373.27, "word": " بطيق", "probability": 0.9947509765625}, {"start": 373.27, "end": 373.55, "word": " ومعروف", "probability": 0.937890625}, {"start": 373.55, "end": 373.55, "word": " إن", "probability": 0.98681640625}, {"start": 373.55, "end": 373.63, "word": " الضوء", "probability": 0.954345703125}, {"start": 373.63, "end": 373.63, "word": " داخل", "probability": 0.9532877604166666}, {"start": 373.63, "end": 373.63, "word": " الزجاج", "probability": 0.9793701171875}, {"start": 373.63, "end": 373.63, "word": " بيكون", "probability": 0.9930013020833334}, {"start": 373.63, "end": 374.29, "word": " بطيق", "probability": 0.995361328125}, {"start": 374.29, "end": 374.57, "word": " ومعروف", "probability": 0.97041015625}, {"start": 374.57, "end": 374.57, "word": " إن", "probability": 0.986328125}, {"start": 374.57, "end": 375.17, "word": " الضوء", "probability": 0.96826171875}, {"start": 375.17, "end": 375.71, "word": " داخل", "probability": 0.955078125}, {"start": 375.71, "end": 375.71, "word": " الزجاج", "probability": 0.978271484375}, {"start": 375.71, "end": 376.25, "word": " بيكون", "probability": 0.9931640625}, {"start": 376.25, "end": 376.25, "word": " بطيق", "probability": 0.9959716796875}, {"start": 376.25, "end": 376.25, "word": " ومعروف", "probability": 0.98173828125}, {"start": 376.25, "end": 376.25, "word": " إن", "probability": 0.98583984375}, {"start": 376.25, "end": 376.25, "word": " الضوء", "probability": 0.973876953125}, {"start": 376.25, "end": 376.35, "word": " داخل", "probability": 0.95654296875}, {"start": 376.35, "end": 377.07, "word": " الزجاج", "probability": 0.978515625}, {"start": 377.07, "end": 377.07, "word": " بيكون", "probability": 0.99267578125}, {"start": 377.07, "end": 377.07, "word": " بطيق", "probability": 0.99658203125}, {"start": 377.07, "end": 377.09, "word": " ومعروف", "probability": 0.986328125}, {"start": 377.09, "end": 377.27, "word": " إن", "probability": 0.98388671875}, {"start": 377.27, "end": 377.27, "word": " الض", "probability": 0.970703125}], "temperature": 1.0}, {"id": 19, "seek": 38879, "start": 377.31, "end": 388.79, "text": "الجزء الكبير من هذا المسار اللي هو path رقم تلاتة جاي داخل الزجاج ومعروف أن الطوارق لما بدخل من الهواء لليجزاز بطبطأ سرعته، بطبطأ سرعته، طيب", "tokens": [6027, 7435, 11622, 38207, 33251, 3555, 13546, 9154, 23758, 9673, 3794, 9640, 13672, 1829, 31439, 3100, 12602, 4587, 2304, 6055, 1211, 9307, 3660, 10874, 47302, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4032, 2304, 3615, 32887, 5172, 14739, 41950, 2407, 9640, 4587, 5296, 15042, 47525, 9778, 1211, 9154, 2423, 3224, 2407, 16606, 5296, 20292, 7435, 11622, 31377, 4724, 9566, 3555, 9566, 10721, 8608, 2288, 34268, 3224, 12399, 4724, 9566, 3555, 9566, 10721, 8608, 2288, 34268, 3224, 12399, 23032, 1829, 3555], "avg_logprob": -0.19251543798564394, "compression_ratio": 1.6193548387096774, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 377.31, "end": 378.21, "word": "الجزء", "probability": 0.82366943359375}, {"start": 378.21, "end": 378.85, "word": " الكبير", "probability": 0.8601888020833334}, {"start": 378.85, "end": 379.09, "word": " من", "probability": 0.9873046875}, {"start": 379.09, "end": 379.39, "word": " هذا", "probability": 0.90185546875}, {"start": 379.39, "end": 379.89, "word": " المسار", "probability": 0.8776041666666666}, {"start": 379.89, "end": 380.03, "word": " اللي", "probability": 0.83447265625}, {"start": 380.03, "end": 380.15, "word": " هو", "probability": 0.96630859375}, {"start": 380.15, "end": 380.47, "word": " path", "probability": 0.72998046875}, {"start": 380.47, "end": 380.87, "word": " رقم", "probability": 0.99072265625}, {"start": 380.87, "end": 381.51, "word": " تلاتة", "probability": 0.9266357421875}, {"start": 381.51, "end": 382.17, "word": " جاي", "probability": 0.69775390625}, {"start": 382.17, "end": 382.49, "word": " داخل", "probability": 0.9733072916666666}, {"start": 382.49, "end": 382.95, "word": " الزجاج", "probability": 0.954833984375}, {"start": 382.95, "end": 383.33, "word": " ومعروف", "probability": 0.91337890625}, {"start": 383.33, "end": 383.45, "word": " أن", "probability": 0.433349609375}, {"start": 383.45, "end": 383.79, "word": " الطوارق", "probability": 0.53851318359375}, {"start": 383.79, "end": 383.95, "word": " لما", "probability": 0.928955078125}, {"start": 383.95, "end": 384.31, "word": " بدخل", "probability": 0.91796875}, {"start": 384.31, "end": 384.47, "word": " من", "probability": 0.9931640625}, {"start": 384.47, "end": 384.83, "word": " الهواء", "probability": 0.7645263671875}, {"start": 384.83, "end": 385.41, "word": " لليجزاز", "probability": 0.64697265625}, {"start": 385.41, "end": 386.35, "word": " بطبطأ", "probability": 0.71015625}, {"start": 386.35, "end": 387.05, "word": " سرعته،", "probability": 0.88408203125}, {"start": 387.05, "end": 387.69, "word": " بطبطأ", "probability": 0.98662109375}, {"start": 387.69, "end": 388.49, "word": " سرعته،", "probability": 0.970703125}, {"start": 388.49, "end": 388.79, "word": " طيب", "probability": 0.9168294270833334}], "temperature": 1.0}, {"id": 20, "seek": 41311, "start": 389.57, "end": 413.11, "text": "Okay, if we say any of the remaining two paths, any of the remaining two paths, meaning the length of the glass is small, we will say path number one Path number one is the shortest distance walked on glass, if compared to path number two and path number three Okay, so path number three, path number three is the answer", "tokens": [8297, 11, 498, 321, 584, 604, 295, 264, 8877, 732, 14518, 11, 604, 295, 264, 8877, 732, 14518, 11, 3620, 264, 4641, 295, 264, 4276, 307, 1359, 11, 321, 486, 584, 3100, 1230, 472, 21914, 1230, 472, 307, 264, 31875, 4560, 7628, 322, 4276, 11, 498, 5347, 281, 3100, 1230, 732, 293, 3100, 1230, 1045, 1033, 11, 370, 3100, 1230, 1045, 11, 3100, 1230, 1045, 307, 264, 1867], "avg_logprob": -0.36458332123963727, "compression_ratio": 2.051282051282051, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 389.57, "end": 389.85, "word": "Okay,", "probability": 0.73828125}, {"start": 389.93, "end": 390.15, "word": " if", "probability": 0.9287109375}, {"start": 390.15, "end": 390.45, "word": " we", "probability": 0.955078125}, {"start": 390.45, "end": 390.45, "word": " say", "probability": 0.82958984375}, {"start": 390.45, "end": 391.21, "word": " any", "probability": 0.4287109375}, {"start": 391.21, "end": 392.57, "word": " of", "probability": 0.3740234375}, {"start": 392.57, "end": 392.75, "word": " the", "probability": 0.8984375}, {"start": 392.75, "end": 393.89, "word": " remaining", "probability": 0.64111328125}, {"start": 393.89, "end": 393.89, "word": " two", "probability": 0.443359375}, {"start": 393.89, "end": 393.89, "word": " paths,", "probability": 0.33203125}, {"start": 394.85, "end": 395.07, "word": " any", "probability": 0.6748046875}, {"start": 395.07, "end": 395.27, "word": " of", "probability": 0.91455078125}, {"start": 395.27, "end": 395.77, "word": " the", "probability": 0.88037109375}, {"start": 395.77, "end": 396.19, "word": " remaining", "probability": 0.91796875}, {"start": 396.19, "end": 396.49, "word": " two", "probability": 0.57763671875}, {"start": 396.49, "end": 396.49, "word": " paths,", "probability": 0.89990234375}, {"start": 396.89, "end": 397.23, "word": " meaning", "probability": 0.36767578125}, {"start": 397.23, "end": 397.67, "word": " the", "probability": 0.4072265625}, {"start": 397.67, "end": 398.47, "word": " length", "probability": 0.61474609375}, {"start": 398.47, "end": 398.65, "word": " of", "probability": 0.63818359375}, {"start": 398.65, "end": 398.77, "word": " the", "probability": 0.7431640625}, {"start": 398.77, "end": 399.07, "word": " glass", "probability": 0.478515625}, {"start": 399.07, "end": 399.25, "word": " is", "probability": 0.734375}, {"start": 399.25, "end": 399.49, "word": " small,", "probability": 0.36865234375}, {"start": 399.59, "end": 399.73, "word": " we", "probability": 0.876953125}, {"start": 399.73, "end": 399.77, "word": " will", "probability": 0.455322265625}, {"start": 399.77, "end": 399.95, "word": " say", "probability": 0.884765625}, {"start": 399.95, "end": 400.35, "word": " path", "probability": 0.50146484375}, {"start": 400.35, "end": 400.61, "word": " number", "probability": 0.8876953125}, {"start": 400.61, "end": 400.93, "word": " one", "probability": 0.82421875}, {"start": 400.93, "end": 401.49, "word": " Path", "probability": 0.39208984375}, {"start": 401.49, "end": 401.89, "word": " number", "probability": 0.92578125}, {"start": 401.89, "end": 402.19, "word": " one", "probability": 0.92529296875}, {"start": 402.19, "end": 402.37, "word": " is", "probability": 0.55810546875}, {"start": 402.37, "end": 402.51, "word": " the", "probability": 0.853515625}, {"start": 402.51, "end": 402.77, "word": " shortest", "probability": 0.97265625}, {"start": 402.77, "end": 403.25, "word": " distance", "probability": 0.85009765625}, {"start": 403.25, "end": 403.61, "word": " walked", "probability": 0.314208984375}, {"start": 403.61, "end": 403.83, "word": " on", "probability": 0.3955078125}, {"start": 403.83, "end": 404.19, "word": " glass,", "probability": 0.876953125}, {"start": 404.35, "end": 404.43, "word": " if", "probability": 0.7734375}, {"start": 404.43, "end": 404.89, "word": " compared", "probability": 0.521484375}, {"start": 404.89, "end": 405.13, "word": " to", "probability": 0.8994140625}, {"start": 405.13, "end": 405.49, "word": " path", "probability": 0.80712890625}, {"start": 405.49, "end": 405.75, "word": " number", "probability": 0.935546875}, {"start": 405.75, "end": 406.21, "word": " two", "probability": 0.927734375}, {"start": 406.21, "end": 406.87, "word": " and", "probability": 0.7822265625}, {"start": 406.87, "end": 407.31, "word": " path", "probability": 0.9130859375}, {"start": 407.31, "end": 407.73, "word": " number", "probability": 0.94091796875}, {"start": 407.73, "end": 408.31, "word": " three", "probability": 0.94873046875}, {"start": 408.31, "end": 408.83, "word": " Okay,", "probability": 0.486083984375}, {"start": 409.23, "end": 409.45, "word": " so", "probability": 0.57373046875}, {"start": 409.45, "end": 409.83, "word": " path", "probability": 0.7802734375}, {"start": 409.83, "end": 410.17, "word": " number", "probability": 0.93896484375}, {"start": 410.17, "end": 410.75, "word": " three,", "probability": 0.94091796875}, {"start": 411.37, "end": 411.69, "word": " path", "probability": 0.84521484375}, {"start": 411.69, "end": 412.05, "word": " number", "probability": 0.94384765625}, {"start": 412.05, "end": 412.51, "word": " three", "probability": 0.9423828125}, {"start": 412.51, "end": 412.71, "word": " is", "probability": 0.92724609375}, {"start": 412.71, "end": 412.85, "word": " the", "probability": 0.91943359375}, {"start": 412.85, "end": 413.11, "word": " answer", "probability": 0.83642578125}], "temperature": 1.0}, {"id": 21, "seek": 42264, "start": 413.82, "end": 422.64, "text": "بنقول برضه لأ ليش لإنه المصار رقم .. عفواً المصار رقم واحد هو ال answer برضه هنقول لأ ليش لإنه المصار رقم واحد ..", "tokens": [3555, 1863, 39648, 4724, 43042, 3224, 5296, 10721, 32239, 8592, 5296, 28814, 1863, 3224, 9673, 9381, 9640, 12602, 4587, 2304, 4386, 6225, 5172, 14407, 14111, 9673, 9381, 9640, 12602, 4587, 2304, 36764, 24401, 31439, 2423, 1867, 4724, 43042, 3224, 8032, 1863, 39648, 5296, 10721, 32239, 8592, 5296, 28814, 1863, 3224, 9673, 9381, 9640, 12602, 4587, 2304, 36764, 24401, 4386], "avg_logprob": -0.21445312773187955, "compression_ratio": 1.7232142857142858, "no_speech_prob": 1.8417835235595703e-05, "words": [{"start": 413.82, "end": 414.24, "word": "بنقول", "probability": 0.6249287923177084}, {"start": 414.24, "end": 414.64, "word": " برضه", "probability": 0.9638671875}, {"start": 414.64, "end": 414.82, "word": " لأ", "probability": 0.873291015625}, {"start": 414.82, "end": 415.14, "word": " ليش", "probability": 0.813232421875}, {"start": 415.14, "end": 415.58, "word": " لإنه", "probability": 0.75152587890625}, {"start": 415.58, "end": 416.06, "word": " المصار", "probability": 0.7176106770833334}, {"start": 416.06, "end": 416.34, "word": " رقم", "probability": 0.8733723958333334}, {"start": 416.34, "end": 416.56, "word": " ..", "probability": 0.37158203125}, {"start": 416.56, "end": 417.14, "word": " عفواً", "probability": 0.6568603515625}, {"start": 417.14, "end": 417.58, "word": " المصار", "probability": 0.8523763020833334}, {"start": 417.58, "end": 417.86, "word": " رقم", "probability": 0.9676106770833334}, {"start": 417.86, "end": 418.14, "word": " واحد", "probability": 0.947265625}, {"start": 418.14, "end": 418.28, "word": " هو", "probability": 0.98388671875}, {"start": 418.28, "end": 418.42, "word": " ال", "probability": 0.84765625}, {"start": 418.42, "end": 418.74, "word": " answer", "probability": 0.93701171875}, {"start": 418.74, "end": 419.6, "word": " برضه", "probability": 0.808349609375}, {"start": 419.6, "end": 419.94, "word": " هنقول", "probability": 0.9072265625}, {"start": 419.94, "end": 420.26, "word": " لأ", "probability": 0.982666015625}, {"start": 420.26, "end": 420.56, "word": " ليش", "probability": 0.912109375}, {"start": 420.56, "end": 420.88, "word": " لإنه", "probability": 0.938232421875}, {"start": 420.88, "end": 421.46, "word": " المصار", "probability": 0.9876302083333334}, {"start": 421.46, "end": 421.82, "word": " رقم", "probability": 0.99365234375}, {"start": 421.82, "end": 422.24, "word": " واحد", "probability": 0.98974609375}, {"start": 422.24, "end": 422.64, "word": " ..", "probability": 0.89990234375}], "temperature": 1.0}, {"id": 22, "seek": 44848, "start": 422.7, "end": 448.48, "text": "طوله الكل مفرض، يعني هو أطول التلاتة على الإطلاق، أنا عشان أتجنب طريق متعرج، نفرض هذه طريق شديد التعريج، بروحش أعمل التفاف كبير جدا جدا، لأن هذا مرهق جدا، يعني .. يعني هيكون هندي أنا صحيحت، خلاصت، روحت على طريق ممهد، بس هذا الطريق الممهد طريق التفافي و بعيد جدا، بدل ما أنا أقطع kilometer متعرج", "tokens": [9566, 12610, 3224, 2423, 28820, 3714, 5172, 43042, 12399, 37495, 22653, 31439, 5551, 9566, 12610, 16712, 1211, 9307, 3660, 15844, 33688, 9566, 15040, 4587, 12399, 41850, 6225, 8592, 7649, 5551, 2655, 7435, 1863, 3555, 23032, 16572, 4587, 44650, 3615, 2288, 7435, 12399, 8717, 5172, 43042, 29538, 23032, 16572, 4587, 13412, 16254, 3215, 16712, 3615, 16572, 7435, 12399, 4724, 32887, 5016, 8592, 5551, 25957, 1211, 16712, 5172, 31845, 9122, 3555, 13546, 10874, 28259, 10874, 28259, 12399, 5296, 33456, 23758, 3714, 2288, 3224, 4587, 10874, 28259, 12399, 37495, 22653, 4386, 37495, 22653, 39896, 30544, 8032, 1863, 16254, 41850, 20328, 5016, 1829, 33753, 12399, 16490, 1211, 33546, 2655, 12399, 12602, 2407, 33753, 15844, 23032, 16572, 4587, 3714, 2304, 3224, 3215, 12399, 4724, 3794, 23758, 41950, 16572, 4587, 9673, 2304, 3224, 3215, 23032, 16572, 4587, 16712, 5172, 31845, 1829, 4032, 45030, 25708, 10874, 28259, 12399, 47525, 1211, 19446, 41850, 5551, 47432, 3615, 33795, 44650, 3615, 2288, 7435], "avg_logprob": -0.1538149370001508, "compression_ratio": 1.9477611940298507, "no_speech_prob": 3.993511199951172e-06, "words": [{"start": 422.7, "end": 423.28, "word": "طوله", "probability": 0.7379964192708334}, {"start": 423.28, "end": 423.8, "word": " الكل", "probability": 0.829345703125}, {"start": 423.8, "end": 424.94, "word": " مفرض،", "probability": 0.6612548828125}, {"start": 424.94, "end": 425.2, "word": " يعني", "probability": 0.83544921875}, {"start": 425.2, "end": 425.38, "word": " هو", "probability": 0.97314453125}, {"start": 425.38, "end": 425.86, "word": " أطول", "probability": 0.9728190104166666}, {"start": 425.86, "end": 426.42, "word": " التلاتة", "probability": 0.91064453125}, {"start": 426.42, "end": 426.58, "word": " على", "probability": 0.939453125}, {"start": 426.58, "end": 427.66, "word": " الإطلاق،", "probability": 0.82509765625}, {"start": 427.66, "end": 427.92, "word": " أنا", "probability": 0.8212890625}, {"start": 427.92, "end": 428.22, "word": " عشان", "probability": 0.9921875}, {"start": 428.22, "end": 429.02, "word": " أتجنب", "probability": 0.9689453125}, {"start": 429.02, "end": 430.08, "word": " طريق", "probability": 0.9918619791666666}, {"start": 430.08, "end": 430.66, "word": " متعرج،", "probability": 0.8044921875}, {"start": 430.66, "end": 430.9, "word": " نفرض", "probability": 0.9051106770833334}, {"start": 430.9, "end": 431.1, "word": " هذه", "probability": 0.7802734375}, {"start": 431.1, "end": 431.48, "word": " طريق", "probability": 0.9676106770833334}, {"start": 431.48, "end": 431.88, "word": " شديد", "probability": 0.8873697916666666}, {"start": 431.88, "end": 432.8, "word": " التعريج،", "probability": 0.912890625}, {"start": 432.8, "end": 433.32, "word": " بروحش", "probability": 0.9178466796875}, {"start": 433.32, "end": 433.7, "word": " أعمل", "probability": 0.9886067708333334}, {"start": 433.7, "end": 434.22, "word": " التفاف", "probability": 0.8678385416666666}, {"start": 434.22, "end": 434.86, "word": " كبير", "probability": 0.9659830729166666}, {"start": 434.86, "end": 435.28, "word": " جدا", "probability": 0.975830078125}, {"start": 435.28, "end": 435.78, "word": " جدا،", "probability": 0.8497721354166666}, {"start": 435.78, "end": 435.96, "word": " لأن", "probability": 0.8349609375}, {"start": 435.96, "end": 436.26, "word": " هذا", "probability": 0.56787109375}, {"start": 436.26, "end": 436.88, "word": " مرهق", "probability": 0.9520263671875}, {"start": 436.88, "end": 437.42, "word": " جدا،", "probability": 0.984375}, {"start": 437.42, "end": 437.68, "word": " يعني", "probability": 0.94384765625}, {"start": 437.68, "end": 437.78, "word": " ..", "probability": 0.6181640625}, {"start": 437.78, "end": 438.44, "word": " يعني", "probability": 0.77197265625}, {"start": 438.44, "end": 439.06, "word": " هيكون", "probability": 0.6650390625}, {"start": 439.06, "end": 439.3, "word": " هندي", "probability": 0.5967610677083334}, {"start": 439.3, "end": 439.44, "word": " أنا", "probability": 0.82373046875}, {"start": 439.44, "end": 439.98, "word": " صحيحت،", "probability": 0.77646484375}, {"start": 439.98, "end": 440.5, "word": " خلاصت،", "probability": 0.878515625}, {"start": 440.5, "end": 440.7, "word": " روحت", "probability": 0.9806315104166666}, {"start": 440.7, "end": 440.9, "word": " على", "probability": 0.92236328125}, {"start": 440.9, "end": 441.26, "word": " طريق", "probability": 0.99658203125}, {"start": 441.26, "end": 441.78, "word": " ممهد،", "probability": 0.83662109375}, {"start": 441.78, "end": 441.94, "word": " بس", "probability": 0.99560546875}, {"start": 441.94, "end": 442.1, "word": " هذا", "probability": 0.962890625}, {"start": 442.1, "end": 442.46, "word": " الطريق", "probability": 0.9591471354166666}, {"start": 442.46, "end": 443.04, "word": " الممهد", "probability": 0.9852294921875}, {"start": 443.04, "end": 443.9, "word": " طريق", "probability": 0.9055989583333334}, {"start": 443.9, "end": 444.54, "word": " التفافي", "probability": 0.9725341796875}, {"start": 444.54, "end": 444.64, "word": " و", "probability": 0.83349609375}, {"start": 444.64, "end": 445.0, "word": " بعيد", "probability": 0.9755859375}, {"start": 445.0, "end": 445.96, "word": " جدا،", "probability": 0.97119140625}, {"start": 445.96, "end": 446.26, "word": " بدل", "probability": 0.981201171875}, {"start": 446.26, "end": 446.4, "word": " ما", "probability": 0.93505859375}, {"start": 446.4, "end": 446.62, "word": " أنا", "probability": 0.8515625}, {"start": 446.62, "end": 447.14, "word": " أقطع", "probability": 0.9794921875}, {"start": 447.14, "end": 447.64, "word": " kilometer", "probability": 0.50341796875}, {"start": 447.64, "end": 448.48, "word": " متعرج", "probability": 0.9144287109375}], "temperature": 1.0}, {"id": 23, "seek": 46394, "start": 448.7, "end": 463.94, "text": "I went to cross twenty kilometers of paved roads. So why don't I choose a middle road that is not too far away, for example one and a half kilometers, two kilometers long? So this is if I were driving a car and moving between point A and point B", "tokens": [40, 1437, 281, 3278, 7699, 13904, 295, 42989, 11344, 13, 407, 983, 500, 380, 286, 2826, 257, 2808, 3060, 300, 307, 406, 886, 1400, 1314, 11, 337, 1365, 472, 293, 257, 1922, 13904, 11, 732, 13904, 938, 30, 407, 341, 307, 498, 286, 645, 4840, 257, 1032, 293, 2684, 1296, 935, 316, 293, 935, 363], "avg_logprob": -0.4933035692998341, "compression_ratio": 1.4939024390243902, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 448.7, "end": 449.1, "word": "I", "probability": 0.76611328125}, {"start": 449.1, "end": 449.1, "word": " went", "probability": 0.4287109375}, {"start": 449.1, "end": 449.4, "word": " to", "probability": 0.253662109375}, {"start": 449.4, "end": 449.68, "word": " cross", "probability": 0.4912109375}, {"start": 449.68, "end": 450.24, "word": " twenty", "probability": 0.299560546875}, {"start": 450.24, "end": 450.94, "word": " kilometers", "probability": 0.6943359375}, {"start": 450.94, "end": 451.52, "word": " of", "probability": 0.7998046875}, {"start": 451.52, "end": 452.18, "word": " paved", "probability": 0.33935546875}, {"start": 452.18, "end": 452.18, "word": " roads.", "probability": 0.78125}, {"start": 452.54, "end": 452.74, "word": " So", "probability": 0.2191162109375}, {"start": 452.74, "end": 452.94, "word": " why", "probability": 0.732421875}, {"start": 452.94, "end": 453.08, "word": " don't", "probability": 0.58489990234375}, {"start": 453.08, "end": 453.26, "word": " I", "probability": 0.97900390625}, {"start": 453.26, "end": 453.64, "word": " choose", "probability": 0.81591796875}, {"start": 453.64, "end": 453.86, "word": " a", "probability": 0.861328125}, {"start": 453.86, "end": 454.66, "word": " middle", "probability": 0.65771484375}, {"start": 454.66, "end": 454.88, "word": " road", "probability": 0.3984375}, {"start": 454.88, "end": 455.46, "word": " that", "probability": 0.3095703125}, {"start": 455.46, "end": 455.74, "word": " is", "probability": 0.57177734375}, {"start": 455.74, "end": 455.9, "word": " not", "probability": 0.8984375}, {"start": 455.9, "end": 456.02, "word": " too", "probability": 0.353759765625}, {"start": 456.02, "end": 456.28, "word": " far", "probability": 0.9541015625}, {"start": 456.28, "end": 456.62, "word": " away,", "probability": 0.4296875}, {"start": 456.64, "end": 456.7, "word": " for", "probability": 0.54052734375}, {"start": 456.7, "end": 456.9, "word": " example", "probability": 0.93017578125}, {"start": 456.9, "end": 457.08, "word": " one", "probability": 0.52001953125}, {"start": 457.08, "end": 457.32, "word": " and", "probability": 0.87451171875}, {"start": 457.32, "end": 457.5, "word": " a", "probability": 0.9013671875}, {"start": 457.5, "end": 457.6, "word": " half", "probability": 0.875}, {"start": 457.6, "end": 457.6, "word": " kilometers,", "probability": 0.49560546875}, {"start": 457.72, "end": 457.9, "word": " two", "probability": 0.86083984375}, {"start": 457.9, "end": 458.32, "word": " kilometers", "probability": 0.8564453125}, {"start": 458.32, "end": 458.62, "word": " long?", "probability": 0.6435546875}, {"start": 459.14, "end": 459.28, "word": " So", "probability": 0.77490234375}, {"start": 459.28, "end": 459.7, "word": " this", "probability": 0.36083984375}, {"start": 459.7, "end": 459.78, "word": " is", "probability": 0.50439453125}, {"start": 459.78, "end": 459.94, "word": " if", "probability": 0.75341796875}, {"start": 459.94, "end": 460.26, "word": " I", "probability": 0.98095703125}, {"start": 460.26, "end": 460.26, "word": " were", "probability": 0.4482421875}, {"start": 460.26, "end": 460.78, "word": " driving", "probability": 0.927734375}, {"start": 460.78, "end": 460.9, "word": " a", "probability": 0.74755859375}, {"start": 460.9, "end": 461.3, "word": " car", "probability": 0.9228515625}, {"start": 461.3, "end": 461.56, "word": " and", "probability": 0.80712890625}, {"start": 461.56, "end": 461.9, "word": " moving", "probability": 0.465087890625}, {"start": 461.9, "end": 462.42, "word": " between", "probability": 0.79296875}, {"start": 462.42, "end": 462.72, "word": " point", "probability": 0.9462890625}, {"start": 462.72, "end": 463.0, "word": " A", "probability": 0.861328125}, {"start": 463.0, "end": 463.12, "word": " and", "probability": 0.9189453125}, {"start": 463.12, "end": 463.44, "word": " point", "probability": 0.9697265625}, {"start": 463.44, "end": 463.94, "word": " B", "probability": 0.97021484375}], "temperature": 1.0}, {"id": 24, "seek": 48912, "start": 464.16, "end": 489.12, "text": "وهذا حقيقة تبقى بيقول أنسب المسارات هو المسار رقم اتنين لأن طوله في الزجاج مش كبير وطوله الكل مش مفرط فبالتالي من ناحية مبدأ فرمات الضوء مفروض يتبع الطريق رقم اتنين مش مفروض يتبع الطريق رقم واحد مش مفروض يتبع الطريق رقم واحد لأن طوله في الزجاج او طوله الكل مفرط", "tokens": [2407, 3224, 15730, 11331, 38436, 28671, 6055, 3555, 4587, 7578, 4724, 1829, 39648, 14739, 35457, 9673, 3794, 9640, 9307, 31439, 9673, 3794, 9640, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 5296, 33456, 23032, 12610, 3224, 8978, 6024, 110, 7435, 26108, 37893, 9122, 3555, 13546, 4032, 9566, 12610, 3224, 2423, 28820, 37893, 3714, 5172, 2288, 9566, 6156, 3555, 6027, 2655, 6027, 1829, 9154, 8717, 39319, 10632, 3714, 44510, 10721, 6156, 2288, 2304, 9307, 6024, 114, 2407, 38207, 3714, 5172, 32887, 11242, 7251, 2655, 3555, 3615, 41950, 16572, 4587, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 37893, 3714, 5172, 32887, 11242, 7251, 2655, 3555, 3615, 41950, 16572, 4587, 12602, 4587, 2304, 36764, 24401, 37893, 3714, 5172, 32887, 11242, 7251, 2655, 3555, 3615, 41950, 16572, 4587, 12602, 4587, 2304, 36764, 24401, 5296, 33456, 23032, 12610, 3224, 8978, 6024, 110, 7435, 26108, 1975, 2407, 23032, 12610, 3224, 2423, 28820, 3714, 5172, 2288, 9566], "avg_logprob": -0.1369791665673256, "compression_ratio": 2.4329896907216493, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 464.16, "end": 464.58, "word": "وهذا", "probability": 0.4718424479166667}, {"start": 464.58, "end": 464.98, "word": " حقيقة", "probability": 0.9195963541666666}, {"start": 464.98, "end": 465.16, "word": " تبقى", "probability": 0.615478515625}, {"start": 465.16, "end": 465.34, "word": " بيقول", "probability": 0.6285807291666666}, {"start": 465.34, "end": 465.94, "word": " أنسب", "probability": 0.88525390625}, {"start": 465.94, "end": 466.8, "word": " المسارات", "probability": 0.9630126953125}, {"start": 466.8, "end": 467.02, "word": " هو", "probability": 0.94873046875}, {"start": 467.02, "end": 467.42, "word": " المسار", "probability": 0.8885091145833334}, {"start": 467.42, "end": 467.74, "word": " رقم", "probability": 0.9773763020833334}, {"start": 467.74, "end": 468.12, "word": " اتنين", "probability": 0.8994140625}, {"start": 468.12, "end": 468.92, "word": " لأن", "probability": 0.678955078125}, {"start": 468.92, "end": 469.38, "word": " طوله", "probability": 0.9736328125}, {"start": 469.38, "end": 469.5, "word": " في", "probability": 0.95166015625}, {"start": 469.5, "end": 469.92, "word": " الزجاج", "probability": 0.933349609375}, {"start": 469.92, "end": 470.14, "word": " مش", "probability": 0.9892578125}, {"start": 470.14, "end": 470.58, "word": " كبير", "probability": 0.9943033854166666}, {"start": 470.58, "end": 471.68, "word": " وطوله", "probability": 0.9468994140625}, {"start": 471.68, "end": 472.06, "word": " الكل", "probability": 0.74951171875}, {"start": 472.06, "end": 472.52, "word": " مش", "probability": 0.857421875}, {"start": 472.52, "end": 472.98, "word": " مفرط", "probability": 0.8551025390625}, {"start": 472.98, "end": 473.98, "word": " فبالتالي", "probability": 0.9488932291666666}, {"start": 473.98, "end": 474.66, "word": " من", "probability": 0.951171875}, {"start": 474.66, "end": 475.08, "word": " ناحية", "probability": 0.9763997395833334}, {"start": 475.08, "end": 475.56, "word": " مبدأ", "probability": 0.9703776041666666}, {"start": 475.56, "end": 476.06, "word": " فرمات", "probability": 0.649505615234375}, {"start": 476.06, "end": 476.42, "word": " الضوء", "probability": 0.817138671875}, {"start": 476.42, "end": 476.9, "word": " مفروض", "probability": 0.886474609375}, {"start": 476.9, "end": 477.5, "word": " يتبع", "probability": 0.9393310546875}, {"start": 477.5, "end": 478.48, "word": " الطريق", "probability": 0.97021484375}, {"start": 478.48, "end": 478.9, "word": " رقم", "probability": 0.9918619791666666}, {"start": 478.9, "end": 479.42, "word": " اتنين", "probability": 0.9766845703125}, {"start": 479.42, "end": 479.86, "word": " مش", "probability": 0.78515625}, {"start": 479.86, "end": 480.24, "word": " مفروض", "probability": 0.990966796875}, {"start": 480.24, "end": 480.68, "word": " يتبع", "probability": 0.9892578125}, {"start": 480.68, "end": 481.08, "word": " الطريق", "probability": 0.9814453125}, {"start": 481.08, "end": 481.42, "word": " رقم", "probability": 0.9954427083333334}, {"start": 481.42, "end": 481.88, "word": " واحد", "probability": 0.988037109375}, {"start": 481.88, "end": 483.18, "word": " مش", "probability": 0.73095703125}, {"start": 483.18, "end": 483.54, "word": " مفروض", "probability": 0.9891357421875}, {"start": 483.54, "end": 483.96, "word": " يتبع", "probability": 0.9947509765625}, {"start": 483.96, "end": 484.38, "word": " الطريق", "probability": 0.9441731770833334}, {"start": 484.38, "end": 484.7, "word": " رقم", "probability": 0.9947916666666666}, {"start": 484.7, "end": 485.06, "word": " واحد", "probability": 0.98974609375}, {"start": 485.06, "end": 485.4, "word": " لأن", "probability": 0.7152099609375}, {"start": 485.4, "end": 486.28, "word": " طوله", "probability": 0.9645182291666666}, {"start": 486.28, "end": 486.4, "word": " في", "probability": 0.98828125}, {"start": 486.4, "end": 486.9, "word": " الزجاج", "probability": 0.9635009765625}, {"start": 486.9, "end": 487.92, "word": " او", "probability": 0.761962890625}, {"start": 487.92, "end": 488.22, "word": " طوله", "probability": 0.9952799479166666}, {"start": 488.22, "end": 488.52, "word": " الكل", "probability": 0.93408203125}, {"start": 488.52, "end": 489.12, "word": " مفرط", "probability": 0.9696044921875}], "temperature": 1.0}, {"id": 25, "seek": 51408, "start": 490.18, "end": 514.08, "text": "it's very long and it's not supposed to follow the path number three because its length .. or its length inside the glass is big and therefore it's the longest piece in the glass number three the path number three is if the light goes from here to here it will be longer than the distance from here to here and longer than the distance from here to here", "tokens": [270, 311, 588, 938, 293, 309, 311, 406, 3442, 281, 1524, 264, 3100, 1230, 1045, 570, 1080, 4641, 4386, 420, 1080, 4641, 1854, 264, 4276, 307, 955, 293, 4412, 309, 311, 264, 15438, 2522, 294, 264, 4276, 1230, 1045, 264, 3100, 1230, 1045, 307, 498, 264, 1442, 1709, 490, 510, 281, 510, 309, 486, 312, 2854, 813, 264, 4560, 490, 510, 281, 510, 293, 2854, 813, 264, 4560, 490, 510, 281, 510], "avg_logprob": -0.4293664318241485, "compression_ratio": 2.1137724550898205, "no_speech_prob": 1.6689300537109375e-06, "words": [{"start": 490.18, "end": 490.54, "word": "it's", "probability": 0.39862060546875}, {"start": 490.54, "end": 490.82, "word": " very", "probability": 0.1619873046875}, {"start": 490.82, "end": 492.18, "word": " long", "probability": 0.71142578125}, {"start": 492.18, "end": 493.26, "word": " and", "probability": 0.55224609375}, {"start": 493.26, "end": 493.48, "word": " it's", "probability": 0.435791015625}, {"start": 493.48, "end": 493.48, "word": " not", "probability": 0.6591796875}, {"start": 493.48, "end": 493.84, "word": " supposed", "probability": 0.7958984375}, {"start": 493.84, "end": 493.92, "word": " to", "probability": 0.96142578125}, {"start": 493.92, "end": 494.34, "word": " follow", "probability": 0.77197265625}, {"start": 494.34, "end": 495.16, "word": " the", "probability": 0.377197265625}, {"start": 495.16, "end": 495.48, "word": " path", "probability": 0.501953125}, {"start": 495.48, "end": 495.76, "word": " number", "probability": 0.646484375}, {"start": 495.76, "end": 496.26, "word": " three", "probability": 0.480712890625}, {"start": 496.26, "end": 497.9, "word": " because", "probability": 0.7216796875}, {"start": 497.9, "end": 498.6, "word": " its", "probability": 0.308837890625}, {"start": 498.6, "end": 498.6, "word": " length", "probability": 0.85986328125}, {"start": 498.6, "end": 499.2, "word": " ..", "probability": 0.2353515625}, {"start": 499.2, "end": 499.9, "word": " or", "probability": 0.59765625}, {"start": 499.9, "end": 500.18, "word": " its", "probability": 0.45556640625}, {"start": 500.18, "end": 500.18, "word": " length", "probability": 0.89453125}, {"start": 500.18, "end": 500.7, "word": " inside", "probability": 0.833984375}, {"start": 500.7, "end": 500.88, "word": " the", "probability": 0.7705078125}, {"start": 500.88, "end": 501.14, "word": " glass", "probability": 0.68896484375}, {"start": 501.14, "end": 502.0, "word": " is", "probability": 0.93359375}, {"start": 502.0, "end": 502.3, "word": " big", "probability": 0.42578125}, {"start": 502.3, "end": 503.02, "word": " and", "probability": 0.58349609375}, {"start": 503.02, "end": 503.54, "word": " therefore", "probability": 0.3955078125}, {"start": 503.54, "end": 504.2, "word": " it's", "probability": 0.681396484375}, {"start": 504.2, "end": 504.46, "word": " the", "probability": 0.88134765625}, {"start": 504.46, "end": 504.62, "word": " longest", "probability": 0.94921875}, {"start": 504.62, "end": 504.88, "word": " piece", "probability": 0.47802734375}, {"start": 504.88, "end": 505.02, "word": " in", "probability": 0.587890625}, {"start": 505.02, "end": 505.1, "word": " the", "probability": 0.73486328125}, {"start": 505.1, "end": 505.38, "word": " glass", "probability": 0.86279296875}, {"start": 505.38, "end": 505.66, "word": " number", "probability": 0.68359375}, {"start": 505.66, "end": 506.18, "word": " three", "probability": 0.93115234375}, {"start": 506.18, "end": 506.52, "word": " the", "probability": 0.3232421875}, {"start": 506.52, "end": 506.76, "word": " path", "probability": 0.8671875}, {"start": 506.76, "end": 507.0, "word": " number", "probability": 0.93310546875}, {"start": 507.0, "end": 507.46, "word": " three", "probability": 0.93603515625}, {"start": 507.46, "end": 507.76, "word": " is", "probability": 0.79931640625}, {"start": 507.76, "end": 508.36, "word": " if", "probability": 0.52490234375}, {"start": 508.36, "end": 508.52, "word": " the", "probability": 0.71484375}, {"start": 508.52, "end": 508.64, "word": " light", "probability": 0.76611328125}, {"start": 508.64, "end": 508.84, "word": " goes", "probability": 0.250244140625}, {"start": 508.84, "end": 509.08, "word": " from", "probability": 0.826171875}, {"start": 509.08, "end": 509.32, "word": " here", "probability": 0.8310546875}, {"start": 509.32, "end": 509.42, "word": " to", "probability": 0.974609375}, {"start": 509.42, "end": 509.72, "word": " here", "probability": 0.76025390625}, {"start": 509.72, "end": 510.3, "word": " it", "probability": 0.53076171875}, {"start": 510.3, "end": 510.44, "word": " will", "probability": 0.578125}, {"start": 510.44, "end": 510.74, "word": " be", "probability": 0.92724609375}, {"start": 510.74, "end": 511.18, "word": " longer", "probability": 0.86376953125}, {"start": 511.18, "end": 511.36, "word": " than", "probability": 0.59130859375}, {"start": 511.36, "end": 511.48, "word": " the", "probability": 0.87646484375}, {"start": 511.48, "end": 511.76, "word": " distance", "probability": 0.93359375}, {"start": 511.76, "end": 511.94, "word": " from", "probability": 0.8203125}, {"start": 511.94, "end": 512.08, "word": " here", "probability": 0.85400390625}, {"start": 512.08, "end": 512.2, "word": " to", "probability": 0.9697265625}, {"start": 512.2, "end": 512.42, "word": " here", "probability": 0.83203125}, {"start": 512.42, "end": 512.64, "word": " and", "probability": 0.84423828125}, {"start": 512.64, "end": 512.86, "word": " longer", "probability": 0.875}, {"start": 512.86, "end": 513.04, "word": " than", "probability": 0.94140625}, {"start": 513.04, "end": 513.18, "word": " the", "probability": 0.89990234375}, {"start": 513.18, "end": 513.42, "word": " distance", "probability": 0.953125}, {"start": 513.42, "end": 513.62, "word": " from", "probability": 0.86669921875}, {"start": 513.62, "end": 513.82, "word": " here", "probability": 0.86328125}, {"start": 513.82, "end": 514.08, "word": " to", "probability": 0.85009765625}, {"start": 514.08, "end": 514.08, "word": " here", "probability": 0.740234375}], "temperature": 1.0}, {"id": 26, "seek": 54380, "start": 514.11, "end": 543.81, "text": "because if therefore .. and therefore the length of the glass is complex, therefore this way is not suitable. A person can say no, the light as long as it reaches the point, this means that it will continue. We will say no, because the light fell in a curved way with respect to the flat surface, then it will break, it will not remain straight, that is, and if it breaks, it will not reach point B. If it breaks, it will remain on point B. Therefore, the light will go in the way of Islam .. in the way of Islam which is ..", "tokens": [17566, 498, 4412, 4386, 293, 4412, 264, 4641, 295, 264, 4276, 307, 3997, 11, 4412, 341, 636, 307, 406, 12873, 13, 316, 954, 393, 584, 572, 11, 264, 1442, 382, 938, 382, 309, 14235, 264, 935, 11, 341, 1355, 300, 309, 486, 2354, 13, 492, 486, 584, 572, 11, 570, 264, 1442, 5696, 294, 257, 24991, 636, 365, 3104, 281, 264, 4962, 3753, 11, 550, 309, 486, 1821, 11, 309, 486, 406, 6222, 2997, 11, 300, 307, 11, 293, 498, 309, 9857, 11, 309, 486, 406, 2524, 935, 363, 13, 759, 309, 9857, 11, 309, 486, 6222, 322, 935, 363, 13, 7504, 11, 264, 1442, 486, 352, 294, 264, 636, 295, 8571, 4386, 294, 264, 636, 295, 8571, 597, 307, 4386], "avg_logprob": -0.5066598204315685, "compression_ratio": 2.007662835249042, "no_speech_prob": 1.5437602996826172e-05, "words": [{"start": 514.11, "end": 514.39, "word": "because", "probability": 0.118896484375}, {"start": 514.39, "end": 514.61, "word": " if", "probability": 0.55322265625}, {"start": 514.61, "end": 515.13, "word": " therefore", "probability": 0.11767578125}, {"start": 515.13, "end": 515.35, "word": " ..", "probability": 0.299072265625}, {"start": 515.35, "end": 515.69, "word": " and", "probability": 0.42626953125}, {"start": 515.69, "end": 515.99, "word": " therefore", "probability": 0.82763671875}, {"start": 515.99, "end": 516.19, "word": " the", "probability": 0.292236328125}, {"start": 516.19, "end": 516.25, "word": " length", "probability": 0.65576171875}, {"start": 516.25, "end": 516.43, "word": " of", "probability": 0.697265625}, {"start": 516.43, "end": 516.51, "word": " the", "probability": 0.6806640625}, {"start": 516.51, "end": 516.83, "word": " glass", "probability": 0.67138671875}, {"start": 516.83, "end": 516.99, "word": " is", "probability": 0.87548828125}, {"start": 516.99, "end": 517.21, "word": " complex,", "probability": 0.023895263671875}, {"start": 517.39, "end": 517.77, "word": " therefore", "probability": 0.3056640625}, {"start": 517.77, "end": 518.05, "word": " this", "probability": 0.77880859375}, {"start": 518.05, "end": 518.37, "word": " way", "probability": 0.470947265625}, {"start": 518.37, "end": 518.63, "word": " is", "probability": 0.87451171875}, {"start": 518.63, "end": 518.81, "word": " not", "probability": 0.88134765625}, {"start": 518.81, "end": 519.23, "word": " suitable.", "probability": 0.434326171875}, {"start": 519.33, "end": 519.49, "word": " A", "probability": 0.2384033203125}, {"start": 519.49, "end": 519.65, "word": " person", "probability": 0.8154296875}, {"start": 519.65, "end": 519.65, "word": " can", "probability": 0.529296875}, {"start": 519.65, "end": 519.97, "word": " say", "probability": 0.90478515625}, {"start": 519.97, "end": 520.15, "word": " no,", "probability": 0.533203125}, {"start": 520.25, "end": 520.41, "word": " the", "probability": 0.36474609375}, {"start": 520.41, "end": 520.51, "word": " light", "probability": 0.6845703125}, {"start": 520.51, "end": 520.77, "word": " as", "probability": 0.669921875}, {"start": 520.77, "end": 521.07, "word": " long", "probability": 0.67822265625}, {"start": 521.07, "end": 521.07, "word": " as", "probability": 0.931640625}, {"start": 521.07, "end": 521.23, "word": " it", "probability": 0.84326171875}, {"start": 521.23, "end": 521.53, "word": " reaches", "probability": 0.48681640625}, {"start": 521.53, "end": 521.73, "word": " the", "probability": 0.814453125}, {"start": 521.73, "end": 521.97, "word": " point,", "probability": 0.92822265625}, {"start": 522.13, "end": 522.21, "word": " this", "probability": 0.23486328125}, {"start": 522.21, "end": 522.37, "word": " means", "probability": 0.890625}, {"start": 522.37, "end": 522.55, "word": " that", "probability": 0.5654296875}, {"start": 522.55, "end": 522.55, "word": " it", "probability": 0.79931640625}, {"start": 522.55, "end": 522.67, "word": " will", "probability": 0.8232421875}, {"start": 522.67, "end": 522.99, "word": " continue.", "probability": 0.861328125}, {"start": 523.37, "end": 523.55, "word": " We", "probability": 0.7001953125}, {"start": 523.55, "end": 523.55, "word": " will", "probability": 0.70458984375}, {"start": 523.55, "end": 523.77, "word": " say", "probability": 0.93701171875}, {"start": 523.77, "end": 523.89, "word": " no,", "probability": 0.8916015625}, {"start": 523.93, "end": 524.15, "word": " because", "probability": 0.9013671875}, {"start": 524.15, "end": 524.35, "word": " the", "probability": 0.81396484375}, {"start": 524.35, "end": 524.51, "word": " light", "probability": 0.849609375}, {"start": 524.51, "end": 525.11, "word": " fell", "probability": 0.363525390625}, {"start": 525.11, "end": 525.25, "word": " in", "probability": 0.3720703125}, {"start": 525.25, "end": 525.73, "word": " a", "probability": 0.8134765625}, {"start": 525.73, "end": 526.05, "word": " curved", "probability": 0.145263671875}, {"start": 526.05, "end": 526.11, "word": " way", "probability": 0.8369140625}, {"start": 526.11, "end": 526.25, "word": " with", "probability": 0.209716796875}, {"start": 526.25, "end": 526.57, "word": " respect", "probability": 0.77392578125}, {"start": 526.57, "end": 526.75, "word": " to", "probability": 0.97216796875}, {"start": 526.75, "end": 526.85, "word": " the", "probability": 0.904296875}, {"start": 526.85, "end": 526.93, "word": " flat", "probability": 0.1656494140625}, {"start": 526.93, "end": 527.49, "word": " surface,", "probability": 0.818359375}, {"start": 527.67, "end": 528.01, "word": " then", "probability": 0.61083984375}, {"start": 528.01, "end": 528.71, "word": " it", "probability": 0.9052734375}, {"start": 528.71, "end": 528.85, "word": " will", "probability": 0.8330078125}, {"start": 528.85, "end": 529.13, "word": " break,", "probability": 0.94091796875}, {"start": 529.39, "end": 529.57, "word": " it", "probability": 0.73876953125}, {"start": 529.57, "end": 529.69, "word": " will", "probability": 0.82177734375}, {"start": 529.69, "end": 529.75, "word": " not", "probability": 0.89697265625}, {"start": 529.75, "end": 530.01, "word": " remain", "probability": 0.5693359375}, {"start": 530.01, "end": 531.05, "word": " straight,", "probability": 0.61376953125}, {"start": 531.05, "end": 531.49, "word": " that", "probability": 0.396728515625}, {"start": 531.49, "end": 531.53, "word": " is,", "probability": 0.89599609375}, {"start": 531.79, "end": 531.89, "word": " and", "probability": 0.6279296875}, {"start": 531.89, "end": 532.07, "word": " if", "probability": 0.96044921875}, {"start": 532.07, "end": 532.19, "word": " it", "probability": 0.92431640625}, {"start": 532.19, "end": 532.41, "word": " breaks,", "probability": 0.861328125}, {"start": 532.91, "end": 533.01, "word": " it", "probability": 0.93408203125}, {"start": 533.01, "end": 533.29, "word": " will", "probability": 0.88134765625}, {"start": 533.29, "end": 533.29, "word": " not", "probability": 0.93212890625}, {"start": 533.29, "end": 533.71, "word": " reach", "probability": 0.90478515625}, {"start": 533.71, "end": 534.17, "word": " point", "probability": 0.46826171875}, {"start": 534.17, "end": 534.73, "word": " B.", "probability": 0.931640625}, {"start": 534.87, "end": 534.99, "word": " If", "probability": 0.86865234375}, {"start": 534.99, "end": 535.17, "word": " it", "probability": 0.9150390625}, {"start": 535.17, "end": 535.31, "word": " breaks,", "probability": 0.88818359375}, {"start": 535.53, "end": 535.57, "word": " it", "probability": 0.91162109375}, {"start": 535.57, "end": 535.75, "word": " will", "probability": 0.8515625}, {"start": 535.75, "end": 536.11, "word": " remain", "probability": 0.09454345703125}, {"start": 536.11, "end": 536.31, "word": " on", "probability": 0.60107421875}, {"start": 536.31, "end": 536.63, "word": " point", "probability": 0.93310546875}, {"start": 536.63, "end": 536.87, "word": " B.", "probability": 0.98974609375}, {"start": 537.27, "end": 537.69, "word": " Therefore,", "probability": 0.46826171875}, {"start": 537.95, "end": 538.11, "word": " the", "probability": 0.71337890625}, {"start": 538.11, "end": 538.27, "word": " light", "probability": 0.87060546875}, {"start": 538.27, "end": 538.55, "word": " will", "probability": 0.82861328125}, {"start": 538.55, "end": 538.77, "word": " go", "probability": 0.88671875}, {"start": 538.77, "end": 538.97, "word": " in", "probability": 0.61083984375}, {"start": 538.97, "end": 539.67, "word": " the", "probability": 0.82275390625}, {"start": 539.67, "end": 539.67, "word": " way", "probability": 0.302001953125}, {"start": 539.67, "end": 539.87, "word": " of", "probability": 0.379150390625}, {"start": 539.87, "end": 540.43, "word": " Islam", "probability": 0.370849609375}, {"start": 540.43, "end": 540.93, "word": " ..", "probability": 0.390625}, {"start": 540.93, "end": 541.05, "word": " in", "probability": 0.7568359375}, {"start": 541.05, "end": 541.23, "word": " the", "probability": 0.83935546875}, {"start": 541.23, "end": 541.43, "word": " way", "probability": 0.6533203125}, {"start": 541.43, "end": 541.63, "word": " of", "probability": 0.96142578125}, {"start": 541.63, "end": 542.07, "word": " Islam", "probability": 0.921875}, {"start": 542.07, "end": 543.05, "word": " which", "probability": 0.37060546875}, {"start": 543.05, "end": 543.43, "word": " is", "probability": 0.9423828125}, {"start": 543.43, "end": 543.81, "word": " ..", "probability": 0.78369140625}], "temperature": 1.0}, {"id": 27, "seek": 57377, "start": 545.01, "end": 573.77, "text": "the path B, and this path is if we calculate it in a mathematical way, we will find that it exactly applies to the law of contraction, so the mouse will take the shortest way in terms of time, the shortest way in terms of time, so we say, unaware of Snell's law, if we assume that we are not aware of Snell's law, that Snell's law, the law of contraction, has not been discovered yet", "tokens": [3322, 3100, 363, 11, 293, 341, 3100, 307, 498, 321, 8873, 309, 294, 257, 18894, 636, 11, 321, 486, 915, 300, 309, 2293, 13165, 281, 264, 2101, 295, 37372, 11, 370, 264, 9719, 486, 747, 264, 31875, 636, 294, 2115, 295, 565, 11, 264, 31875, 636, 294, 2115, 295, 565, 11, 370, 321, 584, 11, 32065, 295, 318, 8903, 311, 2101, 11, 498, 321, 6552, 300, 321, 366, 406, 3650, 295, 318, 8903, 311, 2101, 11, 300, 318, 8903, 311, 2101, 11, 264, 2101, 295, 37372, 11, 575, 406, 668, 6941, 1939], "avg_logprob": -0.3965053776259063, "compression_ratio": 1.9742268041237114, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 545.01, "end": 545.59, "word": "the", "probability": 0.36474609375}, {"start": 545.59, "end": 545.93, "word": " path", "probability": 0.443359375}, {"start": 545.93, "end": 546.25, "word": " B,", "probability": 0.3896484375}, {"start": 546.47, "end": 546.55, "word": " and", "probability": 0.86083984375}, {"start": 546.55, "end": 546.95, "word": " this", "probability": 0.66357421875}, {"start": 546.95, "end": 547.35, "word": " path", "probability": 0.8984375}, {"start": 547.35, "end": 547.71, "word": " is", "probability": 0.45654296875}, {"start": 547.71, "end": 548.77, "word": " if", "probability": 0.47265625}, {"start": 548.77, "end": 548.93, "word": " we", "probability": 0.90234375}, {"start": 548.93, "end": 549.25, "word": " calculate", "probability": 0.701171875}, {"start": 549.25, "end": 549.97, "word": " it", "probability": 0.66943359375}, {"start": 549.97, "end": 549.97, "word": " in", "probability": 0.294921875}, {"start": 549.97, "end": 550.35, "word": " a", "probability": 0.5234375}, {"start": 550.35, "end": 550.57, "word": " mathematical", "probability": 0.46484375}, {"start": 550.57, "end": 550.69, "word": " way,", "probability": 0.88525390625}, {"start": 550.83, "end": 551.01, "word": " we", "probability": 0.8291015625}, {"start": 551.01, "end": 551.17, "word": " will", "probability": 0.70849609375}, {"start": 551.17, "end": 551.49, "word": " find", "probability": 0.8486328125}, {"start": 551.49, "end": 551.73, "word": " that", "probability": 0.7080078125}, {"start": 551.73, "end": 552.75, "word": " it", "probability": 0.89501953125}, {"start": 552.75, "end": 552.75, "word": " exactly", "probability": 0.418701171875}, {"start": 552.75, "end": 553.75, "word": " applies", "probability": 0.439697265625}, {"start": 553.75, "end": 554.59, "word": " to", "probability": 0.95361328125}, {"start": 554.59, "end": 555.13, "word": " the", "probability": 0.82958984375}, {"start": 555.13, "end": 555.31, "word": " law", "probability": 0.5546875}, {"start": 555.31, "end": 555.51, "word": " of", "probability": 0.970703125}, {"start": 555.51, "end": 555.85, "word": " contraction,", "probability": 0.257080078125}, {"start": 556.07, "end": 556.49, "word": " so", "probability": 0.765625}, {"start": 556.49, "end": 556.69, "word": " the", "probability": 0.58740234375}, {"start": 556.69, "end": 556.79, "word": " mouse", "probability": 0.107666015625}, {"start": 556.79, "end": 556.99, "word": " will", "probability": 0.783203125}, {"start": 556.99, "end": 557.23, "word": " take", "probability": 0.720703125}, {"start": 557.23, "end": 558.31, "word": " the", "probability": 0.88720703125}, {"start": 558.31, "end": 558.83, "word": " shortest", "probability": 0.9580078125}, {"start": 558.83, "end": 559.03, "word": " way", "probability": 0.5302734375}, {"start": 559.03, "end": 559.21, "word": " in", "probability": 0.1981201171875}, {"start": 559.21, "end": 559.55, "word": " terms", "probability": 0.84912109375}, {"start": 559.55, "end": 559.85, "word": " of", "probability": 0.9716796875}, {"start": 559.85, "end": 560.25, "word": " time,", "probability": 0.86962890625}, {"start": 560.35, "end": 560.45, "word": " the", "probability": 0.64111328125}, {"start": 560.45, "end": 560.75, "word": " shortest", "probability": 0.984375}, {"start": 560.75, "end": 561.03, "word": " way", "probability": 0.87353515625}, {"start": 561.03, "end": 561.15, "word": " in", "probability": 0.85205078125}, {"start": 561.15, "end": 561.49, "word": " terms", "probability": 0.88330078125}, {"start": 561.49, "end": 561.97, "word": " of", "probability": 0.97119140625}, {"start": 561.97, "end": 562.87, "word": " time,", "probability": 0.89111328125}, {"start": 563.19, "end": 563.29, "word": " so", "probability": 0.6630859375}, {"start": 563.29, "end": 563.47, "word": " we", "probability": 0.82666015625}, {"start": 563.47, "end": 563.69, "word": " say,", "probability": 0.8623046875}, {"start": 564.27, "end": 564.65, "word": " unaware", "probability": 0.64404296875}, {"start": 564.65, "end": 565.13, "word": " of", "probability": 0.97509765625}, {"start": 565.13, "end": 565.57, "word": " Snell's", "probability": 0.799560546875}, {"start": 565.57, "end": 565.69, "word": " law,", "probability": 0.68798828125}, {"start": 565.83, "end": 565.91, "word": " if", "probability": 0.88671875}, {"start": 565.91, "end": 567.19, "word": " we", "probability": 0.7294921875}, {"start": 567.19, "end": 567.57, "word": " assume", "probability": 0.666015625}, {"start": 567.57, "end": 567.85, "word": " that", "probability": 0.908203125}, {"start": 567.85, "end": 568.01, "word": " we", "probability": 0.94873046875}, {"start": 568.01, "end": 568.05, "word": " are", "probability": 0.5654296875}, {"start": 568.05, "end": 568.45, "word": " not", "probability": 0.89111328125}, {"start": 568.45, "end": 569.03, "word": " aware", "probability": 0.8486328125}, {"start": 569.03, "end": 569.37, "word": " of", "probability": 0.86865234375}, {"start": 569.37, "end": 570.11, "word": " Snell's", "probability": 0.9285481770833334}, {"start": 570.11, "end": 570.25, "word": " law,", "probability": 0.935546875}, {"start": 570.35, "end": 570.47, "word": " that", "probability": 0.72021484375}, {"start": 570.47, "end": 570.97, "word": " Snell's", "probability": 0.8935546875}, {"start": 570.97, "end": 571.21, "word": " law,", "probability": 0.9521484375}, {"start": 571.61, "end": 571.71, "word": " the", "probability": 0.72412109375}, {"start": 571.71, "end": 571.87, "word": " law", "probability": 0.89892578125}, {"start": 571.87, "end": 572.01, "word": " of", "probability": 0.9677734375}, {"start": 572.01, "end": 572.27, "word": " contraction,", "probability": 0.94189453125}, {"start": 572.47, "end": 572.57, "word": " has", "probability": 0.52734375}, {"start": 572.57, "end": 572.71, "word": " not", "probability": 0.92041015625}, {"start": 572.71, "end": 573.01, "word": " been", "probability": 0.6279296875}, {"start": 573.01, "end": 573.47, "word": " discovered", "probability": 0.73046875}, {"start": 573.47, "end": 573.77, "word": " yet", "probability": 0.84912109375}], "temperature": 1.0}, {"id": 28, "seek": 58219, "start": 574.05, "end": 582.19, "text": "we might consider various hypothetical paths that light might follow as it moves from point A to point B.", "tokens": [826, 1062, 1949, 3683, 33053, 14518, 300, 1442, 1062, 1524, 382, 309, 6067, 490, 935, 316, 281, 935, 363, 13], "avg_logprob": -0.18917410146622432, "compression_ratio": 1.206896551724138, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 574.05, "end": 574.29, "word": "we", "probability": 0.53173828125}, {"start": 574.29, "end": 574.63, "word": " might", "probability": 0.8955078125}, {"start": 574.63, "end": 575.27, "word": " consider", "probability": 0.92626953125}, {"start": 575.27, "end": 576.63, "word": " various", "probability": 0.8466796875}, {"start": 576.63, "end": 577.55, "word": " hypothetical", "probability": 0.89892578125}, {"start": 577.55, "end": 578.03, "word": " paths", "probability": 0.884765625}, {"start": 578.03, "end": 578.45, "word": " that", "probability": 0.9189453125}, {"start": 578.45, "end": 578.77, "word": " light", "probability": 0.85498046875}, {"start": 578.77, "end": 579.11, "word": " might", "probability": 0.88671875}, {"start": 579.11, "end": 579.43, "word": " follow", "probability": 0.89892578125}, {"start": 579.43, "end": 579.71, "word": " as", "probability": 0.943359375}, {"start": 579.71, "end": 579.93, "word": " it", "probability": 0.9599609375}, {"start": 579.93, "end": 580.27, "word": " moves", "probability": 0.88916015625}, {"start": 580.27, "end": 580.55, "word": " from", "probability": 0.88671875}, {"start": 580.55, "end": 580.87, "word": " point", "probability": 0.93798828125}, {"start": 580.87, "end": 581.19, "word": " A", "probability": 0.8447265625}, {"start": 581.19, "end": 581.33, "word": " to", "probability": 0.9814453125}, {"start": 581.33, "end": 581.65, "word": " point", "probability": 0.958984375}, {"start": 581.65, "end": 582.19, "word": " B.", "probability": 0.9951171875}], "temperature": 1.0}, {"id": 29, "seek": 61778, "start": 590.38, "end": 617.78, "text": "Path 3 is a straight line from A to B and is the shortest total distance between points. طبعا path 3 يعتبر طريق مستقيم بين A و B مفروض أنه مسافة يعتبر الأقصى. However, a large part جزء كبير of path 3 inside glass where light travels more slowly. إذا path 3 is not the fastest route مش هو الأسرع أو مش هو الطريق الأسرع", "tokens": [47, 998, 805, 307, 257, 2997, 1622, 490, 316, 281, 363, 293, 307, 264, 31875, 3217, 4560, 1296, 2793, 13, 23032, 3555, 3615, 995, 3100, 805, 7251, 34268, 26890, 23032, 16572, 4587, 3714, 14851, 4587, 32640, 49374, 316, 4032, 363, 3714, 5172, 32887, 11242, 14739, 3224, 47524, 31845, 3660, 7251, 34268, 26890, 16247, 4587, 9381, 7578, 13, 2908, 11, 257, 2416, 644, 10874, 11622, 38207, 9122, 3555, 13546, 295, 3100, 805, 1854, 4276, 689, 1442, 19863, 544, 5692, 13, 11933, 15730, 3100, 805, 307, 406, 264, 14573, 7955, 37893, 31439, 16247, 3794, 2288, 3615, 34051, 37893, 31439, 41950, 16572, 4587, 16247, 3794, 2288, 3615], "avg_logprob": -0.18333333900996618, "compression_ratio": 1.488888888888889, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 590.38, "end": 591.1, "word": "Path", "probability": 0.6605224609375}, {"start": 591.1, "end": 591.4, "word": " 3", "probability": 0.80810546875}, {"start": 591.4, "end": 591.68, "word": " is", "probability": 0.9375}, {"start": 591.68, "end": 591.82, "word": " a", "probability": 0.6513671875}, {"start": 591.82, "end": 592.18, "word": " straight", "probability": 0.92236328125}, {"start": 592.18, "end": 592.56, "word": " line", "probability": 0.9462890625}, {"start": 592.56, "end": 592.92, "word": " from", "probability": 0.8798828125}, {"start": 592.92, "end": 593.16, "word": " A", "probability": 0.908203125}, {"start": 593.16, "end": 593.32, "word": " to", "probability": 0.9814453125}, {"start": 593.32, "end": 593.5, "word": " B", "probability": 0.99560546875}, {"start": 593.5, "end": 593.8, "word": " and", "probability": 0.705078125}, {"start": 593.8, "end": 594.02, "word": " is", "probability": 0.837890625}, {"start": 594.02, "end": 594.2, "word": " the", "probability": 0.88427734375}, {"start": 594.2, "end": 594.6, "word": " shortest", "probability": 0.970703125}, {"start": 594.6, "end": 595.16, "word": " total", "probability": 0.88720703125}, {"start": 595.16, "end": 595.66, "word": " distance", "probability": 0.93359375}, {"start": 595.66, "end": 596.04, "word": " between", "probability": 0.86474609375}, {"start": 596.04, "end": 596.48, "word": " points.", "probability": 0.9130859375}, {"start": 596.84, "end": 597.14, "word": " طبعا", "probability": 0.77813720703125}, {"start": 597.14, "end": 597.86, "word": " path", "probability": 0.60546875}, {"start": 597.86, "end": 598.26, "word": " 3", "probability": 0.9345703125}, {"start": 598.26, "end": 598.96, "word": " يعتبر", "probability": 0.96826171875}, {"start": 598.96, "end": 599.36, "word": " طريق", "probability": 0.9850260416666666}, {"start": 599.36, "end": 599.98, "word": " مستقيم", "probability": 0.9815673828125}, {"start": 599.98, "end": 600.24, "word": " بين", "probability": 0.767578125}, {"start": 600.24, "end": 600.56, "word": " A", "probability": 0.8876953125}, {"start": 600.56, "end": 600.98, "word": " و", "probability": 0.96533203125}, {"start": 600.98, "end": 601.16, "word": " B", "probability": 0.65966796875}, {"start": 601.16, "end": 601.66, "word": " مفروض", "probability": 0.815673828125}, {"start": 601.66, "end": 601.94, "word": " أنه", "probability": 0.65673828125}, {"start": 601.94, "end": 602.92, "word": " مسافة", "probability": 0.861328125}, {"start": 602.92, "end": 603.4, "word": " يعتبر", "probability": 0.9759114583333334}, {"start": 603.4, "end": 603.96, "word": " الأقصى.", "probability": 0.8658447265625}, {"start": 604.24, "end": 604.64, "word": " However,", "probability": 0.72216796875}, {"start": 604.84, "end": 605.0, "word": " a", "probability": 0.951171875}, {"start": 605.0, "end": 605.36, "word": " large", "probability": 0.9658203125}, {"start": 605.36, "end": 605.9, "word": " part", "probability": 0.93115234375}, {"start": 605.9, "end": 606.74, "word": " جزء", "probability": 0.8551432291666666}, {"start": 606.74, "end": 607.1, "word": " كبير", "probability": 0.9959309895833334}, {"start": 607.1, "end": 607.32, "word": " of", "probability": 0.8359375}, {"start": 607.32, "end": 607.64, "word": " path", "probability": 0.9306640625}, {"start": 607.64, "end": 607.94, "word": " 3", "probability": 0.92724609375}, {"start": 607.94, "end": 608.5, "word": " inside", "probability": 0.7197265625}, {"start": 608.5, "end": 609.04, "word": " glass", "probability": 0.455078125}, {"start": 609.04, "end": 609.74, "word": " where", "probability": 0.84326171875}, {"start": 609.74, "end": 610.12, "word": " light", "probability": 0.880859375}, {"start": 610.12, "end": 610.7, "word": " travels", "probability": 0.8125}, {"start": 610.7, "end": 611.02, "word": " more", "probability": 0.927734375}, {"start": 611.02, "end": 611.5, "word": " slowly.", "probability": 0.93115234375}, {"start": 612.06, "end": 612.12, "word": " إذا", "probability": 0.612548828125}, {"start": 612.12, "end": 612.54, "word": " path", "probability": 0.93798828125}, {"start": 612.54, "end": 612.88, "word": " 3", "probability": 0.92822265625}, {"start": 612.88, "end": 613.14, "word": " is", "probability": 0.91162109375}, {"start": 613.14, "end": 613.42, "word": " not", "probability": 0.96142578125}, {"start": 613.42, "end": 613.64, "word": " the", "probability": 0.8828125}, {"start": 613.64, "end": 614.04, "word": " fastest", "probability": 0.88134765625}, {"start": 614.04, "end": 614.4, "word": " route", "probability": 0.8173828125}, {"start": 614.4, "end": 614.62, "word": " مش", "probability": 0.7314453125}, {"start": 614.62, "end": 615.2, "word": " هو", "probability": 0.9150390625}, {"start": 615.2, "end": 615.82, "word": " الأسرع", "probability": 0.928466796875}, {"start": 615.82, "end": 616.26, "word": " أو", "probability": 0.72900390625}, {"start": 616.26, "end": 616.4, "word": " مش", "probability": 0.95947265625}, {"start": 616.4, "end": 616.62, "word": " هو", "probability": 0.96142578125}, {"start": 616.62, "end": 617.14, "word": " الطريق", "probability": 0.9755859375}, {"start": 617.14, "end": 617.78, "word": " الأسرع", "probability": 0.9896240234375}], "temperature": 1.0}, {"id": 30, "seek": 63696, "start": 617.98, "end": 636.96, "text": "Path 1 is the longest route from A to B, but has the shortest distance in a class. It is true that path 1 is very long, but it is the shortest distance in the three paths in a class. His share in the class is very small, so he will not get used to the class.", "tokens": [47, 998, 502, 307, 264, 15438, 7955, 490, 316, 281, 363, 11, 457, 575, 264, 31875, 4560, 294, 257, 1508, 13, 467, 307, 2074, 300, 3100, 502, 307, 588, 938, 11, 457, 309, 307, 264, 31875, 4560, 294, 264, 1045, 14518, 294, 257, 1508, 13, 2812, 2073, 294, 264, 1508, 307, 588, 1359, 11, 370, 415, 486, 406, 483, 1143, 281, 264, 1508, 13], "avg_logprob": -0.44927884615384617, "compression_ratio": 1.7432432432432432, "no_speech_prob": 4.708766937255859e-06, "words": [{"start": 617.98, "end": 618.36, "word": "Path", "probability": 0.68212890625}, {"start": 618.36, "end": 618.66, "word": " 1", "probability": 0.6474609375}, {"start": 618.66, "end": 618.9, "word": " is", "probability": 0.955078125}, {"start": 618.9, "end": 619.1, "word": " the", "probability": 0.919921875}, {"start": 619.1, "end": 619.46, "word": " longest", "probability": 0.939453125}, {"start": 619.46, "end": 619.8, "word": " route", "probability": 0.83447265625}, {"start": 619.8, "end": 620.1, "word": " from", "probability": 0.89697265625}, {"start": 620.1, "end": 620.36, "word": " A", "probability": 0.9189453125}, {"start": 620.36, "end": 620.5, "word": " to", "probability": 0.98486328125}, {"start": 620.5, "end": 620.74, "word": " B,", "probability": 0.9970703125}, {"start": 621.18, "end": 621.34, "word": " but", "probability": 0.921875}, {"start": 621.34, "end": 621.68, "word": " has", "probability": 0.9326171875}, {"start": 621.68, "end": 621.86, "word": " the", "probability": 0.91943359375}, {"start": 621.86, "end": 622.26, "word": " shortest", "probability": 0.9619140625}, {"start": 622.26, "end": 622.92, "word": " distance", "probability": 0.94580078125}, {"start": 622.92, "end": 623.16, "word": " in", "probability": 0.953125}, {"start": 623.16, "end": 623.28, "word": " a", "probability": 0.72314453125}, {"start": 623.28, "end": 623.62, "word": " class.", "probability": 0.82568359375}, {"start": 624.66, "end": 624.68, "word": " It", "probability": 0.214599609375}, {"start": 624.68, "end": 624.68, "word": " is", "probability": 0.47705078125}, {"start": 624.68, "end": 624.9, "word": " true", "probability": 0.89892578125}, {"start": 624.9, "end": 625.26, "word": " that", "probability": 0.89404296875}, {"start": 625.26, "end": 626.82, "word": " path", "probability": 0.52490234375}, {"start": 626.82, "end": 627.16, "word": " 1", "probability": 0.87353515625}, {"start": 627.16, "end": 627.16, "word": " is", "probability": 0.93994140625}, {"start": 627.16, "end": 627.16, "word": " very", "probability": 0.6572265625}, {"start": 627.16, "end": 627.16, "word": " long,", "probability": 0.90380859375}, {"start": 627.34, "end": 627.8, "word": " but", "probability": 0.89697265625}, {"start": 627.8, "end": 627.98, "word": " it", "probability": 0.6689453125}, {"start": 627.98, "end": 627.98, "word": " is", "probability": 0.666015625}, {"start": 627.98, "end": 628.12, "word": " the", "probability": 0.818359375}, {"start": 628.12, "end": 628.42, "word": " shortest", "probability": 0.9560546875}, {"start": 628.42, "end": 628.94, "word": " distance", "probability": 0.80859375}, {"start": 628.94, "end": 629.28, "word": " in", "probability": 0.54833984375}, {"start": 629.28, "end": 629.44, "word": " the", "probability": 0.5205078125}, {"start": 629.44, "end": 629.66, "word": " three", "probability": 0.755859375}, {"start": 629.66, "end": 630.12, "word": " paths", "probability": 0.333984375}, {"start": 630.12, "end": 631.28, "word": " in", "probability": 0.184326171875}, {"start": 631.28, "end": 631.62, "word": " a", "probability": 0.240478515625}, {"start": 631.62, "end": 631.84, "word": " class.", "probability": 0.77587890625}, {"start": 632.08, "end": 632.3, "word": " His", "probability": 0.169677734375}, {"start": 632.3, "end": 632.6, "word": " share", "probability": 0.5078125}, {"start": 632.6, "end": 632.86, "word": " in", "probability": 0.7783203125}, {"start": 632.86, "end": 633.0, "word": " the", "probability": 0.556640625}, {"start": 633.0, "end": 633.22, "word": " class", "probability": 0.9599609375}, {"start": 633.22, "end": 633.48, "word": " is", "probability": 0.93115234375}, {"start": 633.48, "end": 633.54, "word": " very", "probability": 0.7587890625}, {"start": 633.54, "end": 633.86, "word": " small,", "probability": 0.392578125}, {"start": 634.5, "end": 634.88, "word": " so", "probability": 0.2666015625}, {"start": 634.88, "end": 635.28, "word": " he", "probability": 0.798828125}, {"start": 635.28, "end": 635.46, "word": " will", "probability": 0.491943359375}, {"start": 635.46, "end": 635.46, "word": " not", "probability": 0.9130859375}, {"start": 635.46, "end": 635.62, "word": " get", "probability": 0.71240234375}, {"start": 635.62, "end": 635.86, "word": " used", "probability": 0.84765625}, {"start": 635.86, "end": 636.5, "word": " to", "probability": 0.88427734375}, {"start": 636.5, "end": 636.58, "word": " the", "probability": 0.2396240234375}, {"start": 636.58, "end": 636.96, "word": " class.", "probability": 0.8779296875}], "temperature": 1.0}, {"id": 31, "seek": 66825, "start": 639.63, "end": 668.25, "text": "Nevertheless, على الرغم من ذلك, the extreme length of the overall route makes this fairly slow path.Path 2 is the best compromise between distance in glass and total path length, and this is the path light will actually follow.", "tokens": [37857, 16620, 11, 15844, 34892, 17082, 2304, 9154, 29910, 23275, 11, 264, 8084, 4641, 295, 264, 4787, 7955, 1669, 341, 6457, 2964, 3100, 13, 47, 998, 568, 307, 264, 1151, 18577, 1296, 4560, 294, 4276, 293, 3217, 3100, 4641, 11, 293, 341, 307, 264, 3100, 1442, 486, 767, 1524, 13], "avg_logprob": -0.22349877684724098, "compression_ratio": 1.3333333333333333, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 639.63, "end": 640.39, "word": "Nevertheless,", "probability": 0.811279296875}, {"start": 640.51, "end": 640.63, "word": " على", "probability": 0.50048828125}, {"start": 640.63, "end": 640.93, "word": " الرغم", "probability": 0.9949544270833334}, {"start": 640.93, "end": 641.11, "word": " من", "probability": 0.99365234375}, {"start": 641.11, "end": 641.35, "word": " ذلك,", "probability": 0.990234375}, {"start": 641.49, "end": 641.53, "word": " the", "probability": 0.72998046875}, {"start": 641.53, "end": 642.67, "word": " extreme", "probability": 0.8837890625}, {"start": 642.67, "end": 643.11, "word": " length", "probability": 0.806640625}, {"start": 643.11, "end": 643.37, "word": " of", "probability": 0.9853515625}, {"start": 643.37, "end": 643.55, "word": " the", "probability": 0.92919921875}, {"start": 643.55, "end": 644.07, "word": " overall", "probability": 0.89794921875}, {"start": 644.07, "end": 644.45, "word": " route", "probability": 0.85498046875}, {"start": 644.45, "end": 644.81, "word": " makes", "probability": 0.83349609375}, {"start": 644.81, "end": 645.29, "word": " this", "probability": 0.84521484375}, {"start": 645.29, "end": 645.73, "word": " fairly", "probability": 0.619140625}, {"start": 645.73, "end": 646.11, "word": " slow", "probability": 0.91064453125}, {"start": 646.11, "end": 646.43, "word": " path", "probability": 0.9345703125}, {"start": 646.43, "end": 658.23, "word": ".Path", "probability": 0.5735677083333334}, {"start": 658.23, "end": 658.55, "word": " 2", "probability": 0.724609375}, {"start": 658.55, "end": 659.13, "word": " is", "probability": 0.91796875}, {"start": 659.13, "end": 659.29, "word": " the", "probability": 0.93212890625}, {"start": 659.29, "end": 659.61, "word": " best", "probability": 0.92529296875}, {"start": 659.61, "end": 660.45, "word": " compromise", "probability": 0.93408203125}, {"start": 660.45, "end": 661.35, "word": " between", "probability": 0.8935546875}, {"start": 661.35, "end": 662.03, "word": " distance", "probability": 0.92529296875}, {"start": 662.03, "end": 662.27, "word": " in", "probability": 0.9453125}, {"start": 662.27, "end": 662.73, "word": " glass", "probability": 0.6015625}, {"start": 662.73, "end": 663.33, "word": " and", "probability": 0.93115234375}, {"start": 663.33, "end": 663.81, "word": " total", "probability": 0.8388671875}, {"start": 663.81, "end": 664.29, "word": " path", "probability": 0.94482421875}, {"start": 664.29, "end": 664.67, "word": " length,", "probability": 0.8427734375}, {"start": 665.07, "end": 665.31, "word": " and", "probability": 0.89599609375}, {"start": 665.31, "end": 665.57, "word": " this", "probability": 0.94775390625}, {"start": 665.57, "end": 665.87, "word": " is", "probability": 0.94970703125}, {"start": 665.87, "end": 666.09, "word": " the", "probability": 0.931640625}, {"start": 666.09, "end": 666.47, "word": " path", "probability": 0.94580078125}, {"start": 666.47, "end": 666.99, "word": " light", "probability": 0.755859375}, {"start": 666.99, "end": 667.23, "word": " will", "probability": 0.88818359375}, {"start": 667.23, "end": 667.81, "word": " actually", "probability": 0.79248046875}, {"start": 667.81, "end": 668.25, "word": " follow.", "probability": 0.92822265625}], "temperature": 1.0}, {"id": 32, "seek": 69516, "start": 668.48, "end": 695.16, "text": "طبعا الطريق رقم اتنين هو عبارة عن حل وسط بين طول المفرد، طبعا هو طول أقل من مفرد، يعني طول معتدل و بين المسافة في الإجزاز اللي هي طويلة، طبعا هو حل وسط بين اتنين و هو الحل الأنسب، و هو الحل الأنسب Using mathematics beyond the scope of this text, it can be shown that the optimal path is the one predicted by Snell's law", "tokens": [9566, 3555, 3615, 995, 41950, 16572, 4587, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 31439, 6225, 3555, 9640, 3660, 18871, 11331, 1211, 46952, 9566, 49374, 23032, 12610, 9673, 5172, 2288, 3215, 12399, 23032, 3555, 3615, 995, 31439, 23032, 12610, 5551, 4587, 1211, 9154, 3714, 5172, 2288, 3215, 12399, 37495, 22653, 23032, 12610, 3714, 34268, 3215, 1211, 4032, 49374, 9673, 3794, 31845, 3660, 8978, 33688, 7435, 11622, 31377, 13672, 1829, 39896, 23032, 2407, 26895, 3660, 12399, 23032, 3555, 3615, 995, 31439, 11331, 1211, 46952, 9566, 49374, 1975, 2655, 1863, 9957, 4032, 31439, 21542, 1211, 16247, 1863, 35457, 12399, 4032, 31439, 21542, 1211, 16247, 1863, 35457, 11142, 18666, 4399, 264, 11923, 295, 341, 2487, 11, 309, 393, 312, 4898, 300, 264, 16252, 3100, 307, 264, 472, 19147, 538, 318, 8903, 311, 2101], "avg_logprob": -0.14670801299218914, "compression_ratio": 1.7518518518518518, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 668.48, "end": 668.96, "word": "طبعا", "probability": 0.91943359375}, {"start": 668.96, "end": 669.72, "word": " الطريق", "probability": 0.819091796875}, {"start": 669.72, "end": 670.06, "word": " رقم", "probability": 0.9767252604166666}, {"start": 670.06, "end": 670.48, "word": " اتنين", "probability": 0.9212646484375}, {"start": 670.48, "end": 671.1, "word": " هو", "probability": 0.9365234375}, {"start": 671.1, "end": 671.58, "word": " عبارة", "probability": 0.992919921875}, {"start": 671.58, "end": 671.88, "word": " عن", "probability": 0.9921875}, {"start": 671.88, "end": 672.28, "word": " حل", "probability": 0.884033203125}, {"start": 672.28, "end": 672.76, "word": " وسط", "probability": 0.874755859375}, {"start": 672.76, "end": 673.28, "word": " بين", "probability": 0.96142578125}, {"start": 673.28, "end": 673.72, "word": " طول", "probability": 0.80322265625}, {"start": 673.72, "end": 674.48, "word": " المفرد،", "probability": 0.697607421875}, {"start": 674.48, "end": 674.64, "word": " طبعا", "probability": 0.967041015625}, {"start": 674.64, "end": 674.78, "word": " هو", "probability": 0.98486328125}, {"start": 674.78, "end": 675.1, "word": " طول", "probability": 0.90380859375}, {"start": 675.1, "end": 675.5, "word": " أقل", "probability": 0.8369140625}, {"start": 675.5, "end": 675.66, "word": " من", "probability": 0.98388671875}, {"start": 675.66, "end": 676.14, "word": " مفرد،", "probability": 0.8587890625}, {"start": 676.14, "end": 676.3, "word": " يعني", "probability": 0.763916015625}, {"start": 676.3, "end": 676.7, "word": " طول", "probability": 0.79931640625}, {"start": 676.7, "end": 677.28, "word": " معتدل", "probability": 0.8226318359375}, {"start": 677.28, "end": 677.78, "word": " و", "probability": 0.46875}, {"start": 677.78, "end": 678.3, "word": " بين", "probability": 0.880859375}, {"start": 678.3, "end": 679.62, "word": " المسافة", "probability": 0.881103515625}, {"start": 679.62, "end": 679.74, "word": " في", "probability": 0.96630859375}, {"start": 679.74, "end": 680.18, "word": " الإجزاز", "probability": 0.73638916015625}, {"start": 680.18, "end": 680.34, "word": " اللي", "probability": 0.8798828125}, {"start": 680.34, "end": 680.54, "word": " هي", "probability": 0.74267578125}, {"start": 680.54, "end": 681.34, "word": " طويلة،", "probability": 0.9373046875}, {"start": 681.34, "end": 681.56, "word": " طبعا", "probability": 0.9879150390625}, {"start": 681.56, "end": 681.7, "word": " هو", "probability": 0.98583984375}, {"start": 681.7, "end": 682.02, "word": " حل", "probability": 0.98095703125}, {"start": 682.02, "end": 682.42, "word": " وسط", "probability": 0.98193359375}, {"start": 682.42, "end": 682.62, "word": " بين", "probability": 0.94677734375}, {"start": 682.62, "end": 682.96, "word": " اتنين", "probability": 0.9522705078125}, {"start": 682.96, "end": 683.08, "word": " و", "probability": 0.53857421875}, {"start": 683.08, "end": 683.3, "word": " هو", "probability": 0.9677734375}, {"start": 683.3, "end": 683.76, "word": " الحل", "probability": 0.9345703125}, {"start": 683.76, "end": 684.3, "word": " الأنسب،", "probability": 0.82452392578125}, {"start": 684.3, "end": 684.36, "word": " و", "probability": 0.8515625}, {"start": 684.36, "end": 684.48, "word": " هو", "probability": 0.998046875}, {"start": 684.48, "end": 684.78, "word": " الحل", "probability": 0.971923828125}, {"start": 684.78, "end": 685.24, "word": " الأنسب", "probability": 0.9840494791666666}, {"start": 685.24, "end": 685.96, "word": " Using", "probability": 0.59765625}, {"start": 685.96, "end": 686.62, "word": " mathematics", "probability": 0.7119140625}, {"start": 686.62, "end": 687.16, "word": " beyond", "probability": 0.82861328125}, {"start": 687.16, "end": 687.4, "word": " the", "probability": 0.91650390625}, {"start": 687.4, "end": 687.7, "word": " scope", "probability": 0.90283203125}, {"start": 687.7, "end": 687.9, "word": " of", "probability": 0.9755859375}, {"start": 687.9, "end": 688.14, "word": " this", "probability": 0.93798828125}, {"start": 688.14, "end": 688.56, "word": " text,", "probability": 0.9736328125}, {"start": 689.2, "end": 689.4, "word": " it", "probability": 0.96435546875}, {"start": 689.4, "end": 689.7, "word": " can", "probability": 0.955078125}, {"start": 689.7, "end": 689.92, "word": " be", "probability": 0.958984375}, {"start": 689.92, "end": 690.32, "word": " shown", "probability": 0.89794921875}, {"start": 690.32, "end": 690.58, "word": " that", "probability": 0.951171875}, {"start": 690.58, "end": 690.78, "word": " the", "probability": 0.904296875}, {"start": 690.78, "end": 691.22, "word": " optimal", "probability": 0.818359375}, {"start": 691.22, "end": 691.66, "word": " path", "probability": 0.935546875}, {"start": 691.66, "end": 692.78, "word": " is", "probability": 0.96484375}, {"start": 692.78, "end": 693.04, "word": " the", "probability": 0.916015625}, {"start": 693.04, "end": 693.34, "word": " one", "probability": 0.9384765625}, {"start": 693.34, "end": 694.06, "word": " predicted", "probability": 0.85400390625}, {"start": 694.06, "end": 694.46, "word": " by", "probability": 0.96923828125}, {"start": 694.46, "end": 695.02, "word": " Snell's", "probability": 0.8333333333333334}, {"start": 695.02, "end": 695.16, "word": " law", "probability": 0.650390625}], "temperature": 1.0}, {"id": 33, "seek": 71994, "start": 695.38, "end": 719.94, "text": "Of course, if we use mathematics, we will find that the light travels in the best direction at any given time, each ray, of course, depending on where is the point where it happened, or the point where it got stuck in the roof, and that this speech applies exactly to the path that Snell's law determined, that is, if I brought a ray of light that went up, went down, went up and down, each of them hit exactly the point of the roof", "tokens": [23919, 1164, 11, 498, 321, 764, 5221, 37541, 11, 321, 486, 915, 300, 264, 1442, 19863, 294, 264, 1151, 3513, 412, 604, 2212, 565, 11, 1184, 18592, 11, 295, 1164, 11, 5413, 322, 689, 307, 264, 935, 689, 309, 2011, 11, 420, 264, 935, 689, 309, 658, 5541, 294, 264, 8418, 11, 293, 300, 341, 6218, 13165, 2293, 281, 264, 3100, 300, 9264, 898, 311, 2101, 9540, 11, 300, 307, 11, 498, 286, 3038, 257, 18592, 295, 1442, 300, 1437, 493, 11, 1437, 760, 11, 1437, 493, 293, 760, 11, 1184, 295, 552, 2045, 2293, 264, 935, 295, 264, 8418], "avg_logprob": -0.6608911079935508, "compression_ratio": 1.8227848101265822, "no_speech_prob": 1.1324882507324219e-06, "words": [{"start": 695.38, "end": 695.66, "word": "Of", "probability": 0.68408203125}, {"start": 695.66, "end": 695.82, "word": " course,", "probability": 0.9619140625}, {"start": 696.16, "end": 696.3, "word": " if", "probability": 0.9013671875}, {"start": 696.3, "end": 696.64, "word": " we", "probability": 0.93115234375}, {"start": 696.64, "end": 697.02, "word": " use", "probability": 0.568359375}, {"start": 697.02, "end": 698.04, "word": " mathematics,", "probability": 0.4005126953125}, {"start": 698.5, "end": 698.62, "word": " we", "probability": 0.8896484375}, {"start": 698.62, "end": 698.76, "word": " will", "probability": 0.52294921875}, {"start": 698.76, "end": 699.04, "word": " find", "probability": 0.783203125}, {"start": 699.04, "end": 699.3, "word": " that", "probability": 0.86669921875}, {"start": 699.3, "end": 699.46, "word": " the", "probability": 0.409912109375}, {"start": 699.46, "end": 699.7, "word": " light", "probability": 0.75439453125}, {"start": 699.7, "end": 700.38, "word": " travels", "probability": 0.474853515625}, {"start": 700.38, "end": 700.62, "word": " in", "probability": 0.469482421875}, {"start": 700.62, "end": 700.82, "word": " the", "probability": 0.6484375}, {"start": 700.82, "end": 701.18, "word": " best", "probability": 0.88134765625}, {"start": 701.18, "end": 701.84, "word": " direction", "probability": 0.26220703125}, {"start": 701.84, "end": 702.04, "word": " at", "probability": 0.286865234375}, {"start": 702.04, "end": 702.42, "word": " any", "probability": 0.257568359375}, {"start": 702.42, "end": 702.42, "word": " given", "probability": 0.63525390625}, {"start": 702.42, "end": 702.42, "word": " time,", "probability": 0.70068359375}, {"start": 702.78, "end": 703.0, "word": " each", "probability": 0.36181640625}, {"start": 703.0, "end": 703.26, "word": " ray,", "probability": 0.441650390625}, {"start": 703.44, "end": 703.54, "word": " of", "probability": 0.68896484375}, {"start": 703.54, "end": 703.64, "word": " course,", "probability": 0.96435546875}, {"start": 703.74, "end": 703.92, "word": " depending", "probability": 0.38330078125}, {"start": 703.92, "end": 704.08, "word": " on", "probability": 0.84619140625}, {"start": 704.08, "end": 704.22, "word": " where", "probability": 0.58544921875}, {"start": 704.22, "end": 704.46, "word": " is", "probability": 0.1776123046875}, {"start": 704.46, "end": 704.46, "word": " the", "probability": 0.88037109375}, {"start": 704.46, "end": 704.66, "word": " point", "probability": 0.7548828125}, {"start": 704.66, "end": 704.96, "word": " where", "probability": 0.302978515625}, {"start": 704.96, "end": 705.78, "word": " it", "probability": 0.6015625}, {"start": 705.78, "end": 706.1, "word": " happened,", "probability": 0.45947265625}, {"start": 706.8, "end": 707.06, "word": " or", "probability": 0.939453125}, {"start": 707.06, "end": 707.16, "word": " the", "probability": 0.662109375}, {"start": 707.16, "end": 707.34, "word": " point", "probability": 0.89111328125}, {"start": 707.34, "end": 707.5, "word": " where", "probability": 0.62451171875}, {"start": 707.5, "end": 707.56, "word": " it", "probability": 0.828125}, {"start": 707.56, "end": 707.66, "word": " got", "probability": 0.1387939453125}, {"start": 707.66, "end": 707.92, "word": " stuck", "probability": 0.60791015625}, {"start": 707.92, "end": 708.24, "word": " in", "probability": 0.69482421875}, {"start": 708.24, "end": 708.44, "word": " the", "probability": 0.880859375}, {"start": 708.44, "end": 708.6, "word": " roof,", "probability": 0.269287109375}, {"start": 708.94, "end": 709.08, "word": " and", "probability": 0.86962890625}, {"start": 709.08, "end": 709.22, "word": " that", "probability": 0.52783203125}, {"start": 709.22, "end": 709.52, "word": " this", "probability": 0.6005859375}, {"start": 709.52, "end": 709.84, "word": " speech", "probability": 0.2076416015625}, {"start": 709.84, "end": 710.36, "word": " applies", "probability": 0.35205078125}, {"start": 710.36, "end": 711.02, "word": " exactly", "probability": 0.548828125}, {"start": 711.02, "end": 711.78, "word": " to", "probability": 0.87744140625}, {"start": 711.78, "end": 711.98, "word": " the", "probability": 0.90185546875}, {"start": 711.98, "end": 712.3, "word": " path", "probability": 0.40966796875}, {"start": 712.3, "end": 712.44, "word": " that", "probability": 0.521484375}, {"start": 712.44, "end": 713.44, "word": " Snell's", "probability": 0.3922526041666667}, {"start": 713.44, "end": 713.56, "word": " law", "probability": 0.25390625}, {"start": 713.56, "end": 713.56, "word": " determined,", "probability": 0.28466796875}, {"start": 713.78, "end": 713.96, "word": " that", "probability": 0.381591796875}, {"start": 713.96, "end": 714.02, "word": " is,", "probability": 0.8466796875}, {"start": 714.08, "end": 714.52, "word": " if", "probability": 0.9248046875}, {"start": 714.52, "end": 715.44, "word": " I", "probability": 0.9833984375}, {"start": 715.44, "end": 715.68, "word": " brought", "probability": 0.52587890625}, {"start": 715.68, "end": 715.82, "word": " a", "probability": 0.49853515625}, {"start": 715.82, "end": 716.02, "word": " ray", "probability": 0.82666015625}, {"start": 716.02, "end": 716.18, "word": " of", "probability": 0.58935546875}, {"start": 716.18, "end": 716.22, "word": " light", "probability": 0.1748046875}, {"start": 716.22, "end": 716.28, "word": " that", "probability": 0.342529296875}, {"start": 716.28, "end": 716.38, "word": " went", "probability": 0.1494140625}, {"start": 716.38, "end": 716.82, "word": " up,", "probability": 0.83740234375}, {"start": 716.9, "end": 716.9, "word": " went", "probability": 0.283447265625}, {"start": 716.9, "end": 716.9, "word": " down,", "probability": 0.63330078125}, {"start": 716.98, "end": 717.06, "word": " went", "probability": 0.32958984375}, {"start": 717.06, "end": 717.12, "word": " up", "probability": 0.81396484375}, {"start": 717.12, "end": 717.2, "word": " and", "probability": 0.41064453125}, {"start": 717.2, "end": 717.2, "word": " down,", "probability": 0.401611328125}, {"start": 717.38, "end": 717.68, "word": " each", "probability": 0.51416015625}, {"start": 717.68, "end": 717.76, "word": " of", "probability": 0.55712890625}, {"start": 717.76, "end": 717.98, "word": " them", "probability": 0.89404296875}, {"start": 717.98, "end": 718.36, "word": " hit", "probability": 0.61669921875}, {"start": 718.36, "end": 718.74, "word": " exactly", "probability": 0.1668701171875}, {"start": 718.74, "end": 718.74, "word": " the", "probability": 0.5048828125}, {"start": 718.74, "end": 718.96, "word": " point", "probability": 0.436279296875}, {"start": 718.96, "end": 719.54, "word": " of", "probability": 0.432861328125}, {"start": 719.54, "end": 719.62, "word": " the", "probability": 0.91845703125}, {"start": 719.62, "end": 719.94, "word": " roof", "probability": 0.9287109375}], "temperature": 1.0}, {"id": 34, "seek": 74922, "start": 720.86, "end": 749.22, "text": "I mean, the letter C is here, and the letter S is here, and the letter I is here, and I calculated mathematically using Fermat's principle, I will get that C will be like this, and S will be like this, and I will be like this If I stop using Fermat's principle, and I use Snell's law, I will find that the path is the same path that Fermat's principle defined, which means Fermat's principle, I can use his method to get Snell's law", "tokens": [40, 914, 11, 264, 5063, 383, 307, 510, 11, 293, 264, 5063, 318, 307, 510, 11, 293, 264, 5063, 286, 307, 510, 11, 293, 286, 15598, 44003, 1228, 43261, 267, 311, 8665, 11, 286, 486, 483, 300, 383, 486, 312, 411, 341, 11, 293, 318, 486, 312, 411, 341, 11, 293, 286, 486, 312, 411, 341, 759, 286, 1590, 1228, 43261, 267, 311, 8665, 11, 293, 286, 764, 318, 8903, 311, 2101, 11, 286, 486, 915, 300, 264, 3100, 307, 264, 912, 3100, 300, 43261, 267, 311, 8665, 7642, 11, 597, 1355, 43261, 267, 311, 8665, 11, 286, 393, 764, 702, 3170, 281, 483, 318, 8903, 311, 2101], "avg_logprob": -0.4415137603742267, "compression_ratio": 2.238341968911917, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 720.8599999999999, "end": 721.3, "word": "I", "probability": 0.1885986328125}, {"start": 721.3, "end": 721.74, "word": " mean,", "probability": 0.63818359375}, {"start": 721.74, "end": 721.92, "word": " the", "probability": 0.436767578125}, {"start": 721.92, "end": 722.0, "word": " letter", "probability": 0.038330078125}, {"start": 722.0, "end": 722.28, "word": " C", "probability": 0.4423828125}, {"start": 722.28, "end": 722.58, "word": " is", "probability": 0.58837890625}, {"start": 722.58, "end": 722.6, "word": " here,", "probability": 0.82763671875}, {"start": 722.76, "end": 722.8, "word": " and", "probability": 0.69775390625}, {"start": 722.8, "end": 722.9, "word": " the", "probability": 0.82080078125}, {"start": 722.9, "end": 723.0, "word": " letter", "probability": 0.83984375}, {"start": 723.0, "end": 723.22, "word": " S", "probability": 0.362060546875}, {"start": 723.22, "end": 723.4, "word": " is", "probability": 0.76806640625}, {"start": 723.4, "end": 723.6, "word": " here,", "probability": 0.80224609375}, {"start": 723.66, "end": 723.7, "word": " and", "probability": 0.93798828125}, {"start": 723.7, "end": 723.8, "word": " the", "probability": 0.89306640625}, {"start": 723.8, "end": 723.94, "word": " letter", "probability": 0.8935546875}, {"start": 723.94, "end": 724.2, "word": " I", "probability": 0.83984375}, {"start": 724.2, "end": 724.32, "word": " is", "probability": 0.76025390625}, {"start": 724.32, "end": 724.52, "word": " here,", "probability": 0.8212890625}, {"start": 724.66, "end": 725.38, "word": " and", "probability": 0.892578125}, {"start": 725.38, "end": 726.5, "word": " I", "probability": 0.46875}, {"start": 726.5, "end": 726.84, "word": " calculated", "probability": 0.2479248046875}, {"start": 726.84, "end": 727.62, "word": " mathematically", "probability": 0.392822265625}, {"start": 727.62, "end": 728.16, "word": " using", "probability": 0.29296875}, {"start": 728.16, "end": 729.36, "word": " Fermat's", "probability": 0.8015950520833334}, {"start": 729.36, "end": 729.36, "word": " principle,", "probability": 0.55126953125}, {"start": 729.64, "end": 729.9, "word": " I", "probability": 0.8466796875}, {"start": 729.9, "end": 730.06, "word": " will", "probability": 0.59033203125}, {"start": 730.06, "end": 730.32, "word": " get", "probability": 0.3115234375}, {"start": 730.32, "end": 730.56, "word": " that", "probability": 0.62451171875}, {"start": 730.56, "end": 730.86, "word": " C", "probability": 0.90771484375}, {"start": 730.86, "end": 731.08, "word": " will", "probability": 0.5185546875}, {"start": 731.08, "end": 731.26, "word": " be", "probability": 0.4345703125}, {"start": 731.26, "end": 731.62, "word": " like", "probability": 0.44384765625}, {"start": 731.62, "end": 731.98, "word": " this,", "probability": 0.84375}, {"start": 732.04, "end": 732.14, "word": " and", "probability": 0.8759765625}, {"start": 732.14, "end": 732.26, "word": " S", "probability": 0.7890625}, {"start": 732.26, "end": 732.54, "word": " will", "probability": 0.845703125}, {"start": 732.54, "end": 732.68, "word": " be", "probability": 0.92626953125}, {"start": 732.68, "end": 732.88, "word": " like", "probability": 0.92333984375}, {"start": 732.88, "end": 733.28, "word": " this,", "probability": 0.93212890625}, {"start": 733.34, "end": 733.4, "word": " and", "probability": 0.93017578125}, {"start": 733.4, "end": 733.48, "word": " I", "probability": 0.94970703125}, {"start": 733.48, "end": 733.64, "word": " will", "probability": 0.86865234375}, {"start": 733.64, "end": 733.82, "word": " be", "probability": 0.39111328125}, {"start": 733.82, "end": 733.94, "word": " like", "probability": 0.931640625}, {"start": 733.94, "end": 734.52, "word": " this", "probability": 0.93359375}, {"start": 734.52, "end": 735.04, "word": " If", "probability": 0.53515625}, {"start": 735.04, "end": 735.38, "word": " I", "probability": 0.97900390625}, {"start": 735.38, "end": 735.66, "word": " stop", "probability": 0.424072265625}, {"start": 735.66, "end": 735.9, "word": " using", "probability": 0.7666015625}, {"start": 735.9, "end": 736.9, "word": " Fermat's", "probability": 0.94580078125}, {"start": 736.9, "end": 736.9, "word": " principle,", "probability": 0.9267578125}, {"start": 737.08, "end": 737.64, "word": " and", "probability": 0.9130859375}, {"start": 737.64, "end": 737.84, "word": " I", "probability": 0.343505859375}, {"start": 737.84, "end": 738.28, "word": " use", "probability": 0.54833984375}, {"start": 738.28, "end": 738.98, "word": " Snell's", "probability": 0.7591959635416666}, {"start": 738.98, "end": 739.14, "word": " law,", "probability": 0.85400390625}, {"start": 739.14, "end": 739.28, "word": " I", "probability": 0.935546875}, {"start": 739.28, "end": 739.4, "word": " will", "probability": 0.81787109375}, {"start": 739.4, "end": 739.62, "word": " find", "probability": 0.7880859375}, {"start": 739.62, "end": 740.18, "word": " that", "probability": 0.810546875}, {"start": 740.18, "end": 740.4, "word": " the", "probability": 0.77099609375}, {"start": 740.4, "end": 740.8, "word": " path", "probability": 0.47509765625}, {"start": 740.8, "end": 741.12, "word": " is", "probability": 0.88525390625}, {"start": 741.12, "end": 741.34, "word": " the", "probability": 0.71484375}, {"start": 741.34, "end": 741.54, "word": " same", "probability": 0.8857421875}, {"start": 741.54, "end": 742.08, "word": " path", "probability": 0.70703125}, {"start": 742.08, "end": 742.22, "word": " that", "probability": 0.5888671875}, {"start": 742.22, "end": 744.04, "word": " Fermat's", "probability": 0.8642578125}, {"start": 744.04, "end": 744.04, "word": " principle", "probability": 0.9306640625}, {"start": 744.04, "end": 744.04, "word": " defined,", "probability": 0.3310546875}, {"start": 744.1, "end": 744.32, "word": " which", "probability": 0.34375}, {"start": 744.32, "end": 744.32, "word": " means", "probability": 0.92431640625}, {"start": 744.32, "end": 745.42, "word": " Fermat's", "probability": 0.767822265625}, {"start": 745.42, "end": 745.42, "word": " principle,", "probability": 0.93896484375}, {"start": 745.62, "end": 745.96, "word": " I", "probability": 0.7900390625}, {"start": 745.96, "end": 746.22, "word": " can", "probability": 0.87548828125}, {"start": 746.22, "end": 746.3, "word": " use", "probability": 0.4169921875}, {"start": 746.3, "end": 746.44, "word": " his", "probability": 0.43359375}, {"start": 746.44, "end": 746.8, "word": " method", "probability": 0.66552734375}, {"start": 746.8, "end": 747.08, "word": " to", "probability": 0.92822265625}, {"start": 747.08, "end": 747.54, "word": " get", "probability": 0.134033203125}, {"start": 747.54, "end": 749.0, "word": " Snell's", "probability": 0.8338216145833334}, {"start": 749.0, "end": 749.22, "word": " law", "probability": 0.8779296875}], "temperature": 1.0}, {"id": 35, "seek": 78245, "start": 753.21, "end": 782.45, "text": "and that's why it produces that Snell's law is a consequence of Fermat principle which means that we can consider that the law of economics is one of the fruits of Fermat's principle or it is possible that I define the path of the light beam inside the other substance by using either Snell's law or Fermat's principle and this will lead to the same result and it will be correct in both cases", "tokens": [474, 300, 311, 983, 309, 14725, 300, 318, 8903, 311, 2101, 307, 257, 18326, 295, 43261, 267, 8665, 597, 1355, 300, 321, 393, 1949, 300, 264, 2101, 295, 11437, 12481, 1167, 307, 472, 295, 264, 12148, 295, 43261, 267, 311, 8665, 420, 309, 307, 1944, 300, 286, 6964, 264, 3100, 295, 264, 1442, 14269, 1854, 264, 661, 12961, 538, 1228, 2139, 318, 8903, 311, 2101, 420, 43261, 267, 311, 8665, 293, 341, 486, 1477, 281, 264, 912, 1874, 293, 309, 486, 312, 3006, 294, 1293, 3331], "avg_logprob": -0.46659483649264805, "compression_ratio": 1.7945205479452055, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 753.21, "end": 753.43, "word": "and", "probability": 0.31103515625}, {"start": 753.43, "end": 753.75, "word": " that's", "probability": 0.4718017578125}, {"start": 753.75, "end": 753.77, "word": " why", "probability": 0.74658203125}, {"start": 753.77, "end": 754.15, "word": " it", "probability": 0.5341796875}, {"start": 754.15, "end": 754.51, "word": " produces", "probability": 0.177490234375}, {"start": 754.51, "end": 755.07, "word": " that", "probability": 0.35986328125}, {"start": 755.07, "end": 756.15, "word": " Snell's", "probability": 0.7144368489583334}, {"start": 756.15, "end": 756.29, "word": " law", "probability": 0.71044921875}, {"start": 756.29, "end": 756.59, "word": " is", "probability": 0.9501953125}, {"start": 756.59, "end": 756.77, "word": " a", "probability": 0.8994140625}, {"start": 756.77, "end": 757.21, "word": " consequence", "probability": 0.8779296875}, {"start": 757.21, "end": 757.67, "word": " of", "probability": 0.9736328125}, {"start": 757.67, "end": 758.15, "word": " Fermat", "probability": 0.962890625}, {"start": 758.15, "end": 758.75, "word": " principle", "probability": 0.7255859375}, {"start": 758.75, "end": 759.01, "word": " which", "probability": 0.192138671875}, {"start": 759.01, "end": 759.11, "word": " means", "probability": 0.859375}, {"start": 759.11, "end": 759.19, "word": " that", "probability": 0.60888671875}, {"start": 759.19, "end": 759.19, "word": " we", "probability": 0.60400390625}, {"start": 759.19, "end": 759.53, "word": " can", "probability": 0.84521484375}, {"start": 759.53, "end": 759.97, "word": " consider", "probability": 0.67236328125}, {"start": 759.97, "end": 761.53, "word": " that", "probability": 0.7138671875}, {"start": 761.53, "end": 761.75, "word": " the", "probability": 0.7109375}, {"start": 761.75, "end": 762.03, "word": " law", "probability": 0.85791015625}, {"start": 762.03, "end": 762.17, "word": " of", "probability": 0.96533203125}, {"start": 762.17, "end": 762.77, "word": " economics", "probability": 0.3475341796875}, {"start": 762.77, "end": 763.37, "word": " is", "probability": 0.89111328125}, {"start": 763.37, "end": 763.79, "word": " one", "probability": 0.74658203125}, {"start": 763.79, "end": 763.89, "word": " of", "probability": 0.94580078125}, {"start": 763.89, "end": 763.95, "word": " the", "probability": 0.8837890625}, {"start": 763.95, "end": 764.43, "word": " fruits", "probability": 0.56884765625}, {"start": 764.43, "end": 764.87, "word": " of", "probability": 0.9501953125}, {"start": 764.87, "end": 765.71, "word": " Fermat's", "probability": 0.7644856770833334}, {"start": 765.71, "end": 765.71, "word": " principle", "probability": 0.671875}, {"start": 765.71, "end": 766.03, "word": " or", "probability": 0.7890625}, {"start": 766.03, "end": 766.49, "word": " it", "probability": 0.34228515625}, {"start": 766.49, "end": 766.49, "word": " is", "probability": 0.481201171875}, {"start": 766.49, "end": 767.03, "word": " possible", "probability": 0.9384765625}, {"start": 767.03, "end": 768.49, "word": " that", "probability": 0.400146484375}, {"start": 768.49, "end": 768.95, "word": " I", "probability": 0.430908203125}, {"start": 768.95, "end": 769.37, "word": " define", "probability": 0.322998046875}, {"start": 769.37, "end": 770.39, "word": " the", "probability": 0.83544921875}, {"start": 770.39, "end": 770.73, "word": " path", "probability": 0.262451171875}, {"start": 770.73, "end": 771.21, "word": " of", "probability": 0.2802734375}, {"start": 771.21, "end": 771.33, "word": " the", "probability": 0.5166015625}, {"start": 771.33, "end": 771.37, "word": " light", "probability": 0.4990234375}, {"start": 771.37, "end": 771.75, "word": " beam", "probability": 0.258544921875}, {"start": 771.75, "end": 772.39, "word": " inside", "probability": 0.435791015625}, {"start": 772.39, "end": 772.67, "word": " the", "probability": 0.68994140625}, {"start": 772.67, "end": 773.31, "word": " other", "probability": 0.5166015625}, {"start": 773.31, "end": 773.39, "word": " substance", "probability": 0.3408203125}, {"start": 773.39, "end": 773.95, "word": " by", "probability": 0.4609375}, {"start": 773.95, "end": 774.43, "word": " using", "probability": 0.70556640625}, {"start": 774.43, "end": 774.83, "word": " either", "probability": 0.92138671875}, {"start": 774.83, "end": 775.31, "word": " Snell's", "probability": 0.9049479166666666}, {"start": 775.31, "end": 775.53, "word": " law", "probability": 0.94189453125}, {"start": 775.53, "end": 776.07, "word": " or", "probability": 0.92333984375}, {"start": 776.07, "end": 777.45, "word": " Fermat's", "probability": 0.9095052083333334}, {"start": 777.45, "end": 777.45, "word": " principle", "probability": 0.935546875}, {"start": 777.45, "end": 777.53, "word": " and", "probability": 0.56005859375}, {"start": 777.53, "end": 777.73, "word": " this", "probability": 0.537109375}, {"start": 777.73, "end": 777.93, "word": " will", "probability": 0.7265625}, {"start": 777.93, "end": 778.19, "word": " lead", "probability": 0.6806640625}, {"start": 778.19, "end": 778.41, "word": " to", "probability": 0.96337890625}, {"start": 778.41, "end": 778.73, "word": " the", "probability": 0.89990234375}, {"start": 778.73, "end": 778.73, "word": " same", "probability": 0.89990234375}, {"start": 778.73, "end": 779.19, "word": " result", "probability": 0.7939453125}, {"start": 779.19, "end": 779.67, "word": " and", "probability": 0.70947265625}, {"start": 779.67, "end": 780.09, "word": " it", "probability": 0.379150390625}, {"start": 780.09, "end": 780.29, "word": " will", "probability": 0.6865234375}, {"start": 780.29, "end": 780.45, "word": " be", "probability": 0.90966796875}, {"start": 780.45, "end": 780.81, "word": " correct", "probability": 0.611328125}, {"start": 780.81, "end": 781.09, "word": " in", "probability": 0.84814453125}, {"start": 781.09, "end": 782.17, "word": " both", "probability": 0.751953125}, {"start": 782.17, "end": 782.45, "word": " cases", "probability": 0.89453125}], "temperature": 1.0}, {"id": 36, "seek": 80553, "start": 783.67, "end": 805.53, "text": "Okay, what is the concept of Fermat in general? The Fermat principle is an important conceptual and practical tool. The concept of optical path length enhances the practical utility of this principle. Of course, the concept of Fermat is a tool that explains many things. The concept of Fermat is a tool", "tokens": [8297, 11, 437, 307, 264, 3410, 295, 43261, 267, 294, 2674, 30, 440, 43261, 267, 8665, 307, 364, 1021, 24106, 293, 8496, 2290, 13, 440, 3410, 295, 20674, 3100, 4641, 46628, 264, 8496, 14877, 295, 341, 8665, 13, 2720, 1164, 11, 264, 3410, 295, 43261, 267, 307, 257, 2290, 300, 13948, 867, 721, 13, 440, 3410, 295, 43261, 267, 307, 257, 2290], "avg_logprob": -0.31299604120708646, "compression_ratio": 1.8303030303030303, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 783.67, "end": 784.37, "word": "Okay,", "probability": 0.1820068359375}, {"start": 784.41, "end": 784.65, "word": " what", "probability": 0.7197265625}, {"start": 784.65, "end": 784.71, "word": " is", "probability": 0.62060546875}, {"start": 784.71, "end": 785.21, "word": " the", "probability": 0.77880859375}, {"start": 785.21, "end": 785.41, "word": " concept", "probability": 0.197509765625}, {"start": 785.41, "end": 785.55, "word": " of", "probability": 0.96044921875}, {"start": 785.55, "end": 785.89, "word": " Fermat", "probability": 0.75146484375}, {"start": 785.89, "end": 786.01, "word": " in", "probability": 0.395751953125}, {"start": 786.01, "end": 786.75, "word": " general?", "probability": 0.873046875}, {"start": 787.19, "end": 787.39, "word": " The", "probability": 0.576171875}, {"start": 787.39, "end": 787.87, "word": " Fermat", "probability": 0.768798828125}, {"start": 787.87, "end": 788.35, "word": " principle", "probability": 0.7216796875}, {"start": 788.35, "end": 788.75, "word": " is", "probability": 0.943359375}, {"start": 788.75, "end": 789.03, "word": " an", "probability": 0.931640625}, {"start": 789.03, "end": 789.75, "word": " important", "probability": 0.89111328125}, {"start": 789.75, "end": 790.39, "word": " conceptual", "probability": 0.9521484375}, {"start": 790.39, "end": 790.77, "word": " and", "probability": 0.93896484375}, {"start": 790.77, "end": 791.35, "word": " practical", "probability": 0.904296875}, {"start": 791.35, "end": 791.87, "word": " tool.", "probability": 0.93115234375}, {"start": 792.21, "end": 792.37, "word": " The", "probability": 0.86962890625}, {"start": 792.37, "end": 792.81, "word": " concept", "probability": 0.8623046875}, {"start": 792.81, "end": 793.11, "word": " of", "probability": 0.974609375}, {"start": 793.11, "end": 793.61, "word": " optical", "probability": 0.880859375}, {"start": 793.61, "end": 794.05, "word": " path", "probability": 0.9208984375}, {"start": 794.05, "end": 794.45, "word": " length", "probability": 0.51220703125}, {"start": 794.45, "end": 795.75, "word": " enhances", "probability": 0.9033203125}, {"start": 795.75, "end": 796.03, "word": " the", "probability": 0.91748046875}, {"start": 796.03, "end": 796.49, "word": " practical", "probability": 0.9345703125}, {"start": 796.49, "end": 796.99, "word": " utility", "probability": 0.94384765625}, {"start": 796.99, "end": 797.43, "word": " of", "probability": 0.97314453125}, {"start": 797.43, "end": 797.77, "word": " this", "probability": 0.939453125}, {"start": 797.77, "end": 798.35, "word": " principle.", "probability": 0.91064453125}, {"start": 798.71, "end": 798.81, "word": " Of", "probability": 0.7158203125}, {"start": 798.81, "end": 798.93, "word": " course,", "probability": 0.95361328125}, {"start": 799.17, "end": 799.27, "word": " the", "probability": 0.76171875}, {"start": 799.27, "end": 799.45, "word": " concept", "probability": 0.4765625}, {"start": 799.45, "end": 799.59, "word": " of", "probability": 0.9697265625}, {"start": 799.59, "end": 800.11, "word": " Fermat", "probability": 0.958740234375}, {"start": 800.11, "end": 800.89, "word": " is", "probability": 0.57373046875}, {"start": 800.89, "end": 801.61, "word": " a", "probability": 0.484619140625}, {"start": 801.61, "end": 801.99, "word": " tool", "probability": 0.51708984375}, {"start": 801.99, "end": 802.19, "word": " that", "probability": 0.59716796875}, {"start": 802.19, "end": 802.49, "word": " explains", "probability": 0.25244140625}, {"start": 802.49, "end": 802.73, "word": " many", "probability": 0.603515625}, {"start": 802.73, "end": 803.21, "word": " things.", "probability": 0.78662109375}, {"start": 803.65, "end": 803.83, "word": " The", "probability": 0.74267578125}, {"start": 803.83, "end": 803.95, "word": " concept", "probability": 0.73291015625}, {"start": 803.95, "end": 804.09, "word": " of", "probability": 0.97216796875}, {"start": 804.09, "end": 804.55, "word": " Fermat", "probability": 0.966552734375}, {"start": 804.55, "end": 804.71, "word": " is", "probability": 0.935546875}, {"start": 804.71, "end": 805.23, "word": " a", "probability": 0.9169921875}, {"start": 805.23, "end": 805.53, "word": " tool", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 37, "seek": 83468, "start": 807.22, "end": 834.68, "text": "an important process to understand some things and among them we will have a new term called optical path length طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري طول الممر البصري ط", "tokens": [282, 1021, 1399, 281, 1223, 512, 721, 293, 3654, 552, 321, 486, 362, 257, 777, 1433, 1219, 20674, 3100, 4641, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032, 12610, 9673, 29973, 29739, 9381, 16572, 23032], "avg_logprob": -0.1022916677263048, "compression_ratio": 7.8, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 807.22, "end": 808.1, "word": "an", "probability": 0.259521484375}, {"start": 808.1, "end": 808.66, "word": " important", "probability": 0.7255859375}, {"start": 808.66, "end": 808.66, "word": " process", "probability": 0.7685546875}, {"start": 808.66, "end": 809.24, "word": " to", "probability": 0.61474609375}, {"start": 809.24, "end": 809.58, "word": " understand", "probability": 0.6181640625}, {"start": 809.58, "end": 809.96, "word": " some", "probability": 0.64453125}, {"start": 809.96, "end": 810.4, "word": " things", "probability": 0.6591796875}, {"start": 810.4, "end": 810.9, "word": " and", "probability": 0.448486328125}, {"start": 810.9, "end": 811.18, "word": " among", "probability": 0.2486572265625}, {"start": 811.18, "end": 811.52, "word": " them", "probability": 0.69677734375}, {"start": 811.52, "end": 812.08, "word": " we", "probability": 0.258056640625}, {"start": 812.08, "end": 812.28, "word": " will", "probability": 0.6015625}, {"start": 812.28, "end": 812.52, "word": " have", "probability": 0.356689453125}, {"start": 812.52, "end": 812.7, "word": " a", "probability": 0.923828125}, {"start": 812.7, "end": 812.7, "word": " new", "probability": 0.8916015625}, {"start": 812.7, "end": 813.1, "word": " term", "probability": 0.65966796875}, {"start": 813.1, "end": 813.76, "word": " called", "probability": 0.40478515625}, {"start": 813.76, "end": 814.4, "word": " optical", "probability": 0.607421875}, {"start": 814.4, "end": 815.44, "word": " path", "probability": 0.90966796875}, {"start": 815.44, "end": 815.96, "word": " length", "probability": 0.86474609375}, {"start": 815.96, "end": 816.76, "word": " طول", "probability": 0.52081298828125}, {"start": 816.76, "end": 817.48, "word": " الممر", "probability": 0.983642578125}, {"start": 817.48, "end": 818.18, "word": " البصري", "probability": 0.9861653645833334}, {"start": 818.18, "end": 818.82, "word": " طول", "probability": 0.6805419921875}, {"start": 818.82, "end": 819.32, "word": " الممر", "probability": 0.99462890625}, {"start": 819.32, "end": 819.82, "word": " البصري", "probability": 0.99609375}, {"start": 819.82, "end": 821.96, "word": " طول", "probability": 0.6201171875}, {"start": 821.96, "end": 821.96, "word": " الممر", "probability": 0.98876953125}, {"start": 821.96, "end": 821.96, "word": " البصري", "probability": 0.98779296875}, {"start": 821.96, "end": 821.96, "word": " طول", "probability": 0.775390625}, {"start": 821.96, "end": 822.34, "word": " الممر", "probability": 0.98486328125}, {"start": 822.34, "end": 822.94, "word": " البصري", "probability": 0.9816080729166666}, {"start": 822.94, "end": 823.74, "word": " طول", "probability": 0.902587890625}, {"start": 823.74, "end": 824.24, "word": " الممر", "probability": 0.96142578125}, {"start": 824.24, "end": 825.36, "word": " البصري", "probability": 0.9835611979166666}, {"start": 825.36, "end": 825.56, "word": " طول", "probability": 0.93701171875}, {"start": 825.56, "end": 826.26, "word": " الممر", "probability": 0.89013671875}, {"start": 826.26, "end": 826.52, "word": " البصري", "probability": 0.9855143229166666}, {"start": 826.52, "end": 827.14, "word": " طول", "probability": 0.96337890625}, {"start": 827.14, "end": 827.58, "word": " الممر", "probability": 0.832763671875}, {"start": 827.58, "end": 828.1, "word": " البصري", "probability": 0.9876302083333334}, {"start": 828.1, "end": 828.5, "word": " طول", "probability": 0.9736328125}, {"start": 828.5, "end": 828.72, "word": " الممر", "probability": 0.912841796875}, {"start": 828.72, "end": 828.72, "word": " البصري", "probability": 0.9892578125}, {"start": 828.72, "end": 829.3, "word": " طول", "probability": 0.97802734375}, {"start": 829.3, "end": 829.72, "word": " الممر", "probability": 0.96826171875}, {"start": 829.72, "end": 829.98, "word": " البصري", "probability": 0.9900716145833334}, {"start": 829.98, "end": 829.98, "word": " طول", "probability": 0.97998046875}, {"start": 829.98, "end": 829.98, "word": " الممر", "probability": 0.9833984375}, {"start": 829.98, "end": 830.06, "word": " البصري", "probability": 0.99072265625}, {"start": 830.06, "end": 830.06, "word": " طول", "probability": 0.980224609375}, {"start": 830.06, "end": 830.06, "word": " الممر", "probability": 0.98779296875}, {"start": 830.06, "end": 830.06, "word": " البصري", "probability": 0.9899088541666666}, {"start": 830.06, "end": 830.06, "word": " طول", "probability": 0.979736328125}, {"start": 830.06, "end": 830.06, "word": " الممر", "probability": 0.989990234375}, {"start": 830.06, "end": 830.08, "word": " البصري", "probability": 0.9895833333333334}, {"start": 830.08, "end": 830.5, "word": " طول", "probability": 0.97900390625}, {"start": 830.5, "end": 830.92, "word": " الممر", "probability": 0.9912109375}, {"start": 830.92, "end": 831.4, "word": " البصري", "probability": 0.9890950520833334}, {"start": 831.4, "end": 832.52, "word": " طول", "probability": 0.978759765625}, {"start": 832.52, "end": 832.7, "word": " الممر", "probability": 0.991455078125}, {"start": 832.7, "end": 832.7, "word": " البصري", "probability": 0.98828125}, {"start": 832.7, "end": 832.78, "word": " طول", "probability": 0.978515625}, {"start": 832.78, "end": 832.78, "word": " الممر", "probability": 0.991943359375}, {"start": 832.78, "end": 833.26, "word": " البصري", "probability": 0.9869791666666666}, {"start": 833.26, "end": 833.38, "word": " طول", "probability": 0.97900390625}, {"start": 833.38, "end": 833.66, "word": " الممر", "probability": 0.992431640625}, {"start": 833.66, "end": 833.98, "word": " البصري", "probability": 0.9850260416666666}, {"start": 833.98, "end": 834.02, "word": " طول", "probability": 0.978759765625}, {"start": 834.02, "end": 834.02, "word": " الممر", "probability": 0.99267578125}, {"start": 834.02, "end": 834.02, "word": " البصري", "probability": 0.98291015625}, {"start": 834.02, "end": 834.04, "word": " طول", "probability": 0.978759765625}, {"start": 834.04, "end": 834.04, "word": " الممر", "probability": 0.992919921875}, {"start": 834.04, "end": 834.04, "word": " البصري", "probability": 0.9803059895833334}, {"start": 834.04, "end": 834.04, "word": " طول", "probability": 0.978515625}, {"start": 834.04, "end": 834.04, "word": " الممر", "probability": 0.993408203125}, {"start": 834.04, "end": 834.04, "word": " البصري", "probability": 0.97705078125}, {"start": 834.04, "end": 834.04, "word": " طول", "probability": 0.9775390625}, {"start": 834.04, "end": 834.04, "word": " الممر", "probability": 0.993408203125}, {"start": 834.04, "end": 834.04, "word": " البصري", "probability": 0.9718424479166666}, {"start": 834.04, "end": 834.4, "word": " طول", "probability": 0.976318359375}, {"start": 834.4, "end": 834.4, "word": " الممر", "probability": 0.993408203125}, {"start": 834.4, "end": 834.4, "word": " البصري", "probability": 0.96728515625}, {"start": 834.4, "end": 834.4, "word": " طول", "probability": 0.97412109375}, {"start": 834.4, "end": 834.4, "word": " الممر", "probability": 0.9931640625}, {"start": 834.4, "end": 834.4, "word": " البصري", "probability": 0.9591471354166666}, {"start": 834.4, "end": 834.4, "word": " طول", "probability": 0.97216796875}, {"start": 834.4, "end": 834.4, "word": " الممر", "probability": 0.9931640625}, {"start": 834.4, "end": 834.4, "word": " البصري", "probability": 0.9482421875}, {"start": 834.4, "end": 834.4, "word": " طول", "probability": 0.970947265625}, {"start": 834.4, "end": 834.4, "word": " الممر", "probability": 0.99267578125}, {"start": 834.4, "end": 834.4, "word": " البصري", "probability": 0.9407552083333334}, {"start": 834.4, "end": 834.4, "word": " طول", "probability": 0.968505859375}, {"start": 834.4, "end": 834.4, "word": " الممر", "probability": 0.9921875}, {"start": 834.4, "end": 834.4, "word": " البصري", "probability": 0.9239908854166666}, {"start": 834.4, "end": 834.4, "word": " طول", "probability": 0.966796875}, {"start": 834.4, "end": 834.4, "word": " الممر", "probability": 0.99169921875}, {"start": 834.4, "end": 834.4, "word": " البصري", "probability": 0.9137369791666666}, {"start": 834.4, "end": 834.4, "word": " طول", "probability": 0.965087890625}, {"start": 834.4, "end": 834.4, "word": " الممر", "probability": 0.9912109375}, {"start": 834.4, "end": 834.4, "word": " البصري", "probability": 0.8974609375}, {"start": 834.4, "end": 834.4, "word": " طول", "probability": 0.964111328125}, {"start": 834.4, "end": 834.4, "word": " الممر", "probability": 0.989990234375}, {"start": 834.4, "end": 834.4, "word": " البصري", "probability": 0.8771158854166666}, {"start": 834.4, "end": 834.4, "word": " طول", "probability": 0.960693359375}, {"start": 834.4, "end": 834.4, "word": " الممر", "probability": 0.988037109375}, {"start": 834.4, "end": 834.68, "word": " البصري", "probability": 0.8416341145833334}, {"start": 834.68, "end": 834.68, "word": " ط", "probability": 0.93798828125}], "temperature": 1.0}, {"id": 38, "seek": 85944, "start": 834.72, "end": 859.44, "text": "ووصل للنقطة B في الفراغ معناته بانجيس المسافة بين A وB و هذا هو طول المنارد البصري فنقول لأ الضوء لما سرق من النقطة A وفي النهاية وصل للنقطة B عدى في طريقه على different media على أوساط بصرية مختلفة يعني الضوء مثلا سرق متر و نص في الهواء و بعدين دخل حوض مثلا مليان ميه تمام", "tokens": [2407, 2407, 36520, 24976, 1863, 47432, 3660, 363, 8978, 27188, 2288, 5718, 118, 20449, 8315, 47395, 4724, 7649, 7435, 1829, 3794, 9673, 3794, 31845, 3660, 49374, 316, 4032, 33, 4032, 23758, 31439, 23032, 12610, 9673, 1863, 9640, 3215, 29739, 9381, 16572, 6156, 1863, 39648, 5296, 10721, 6024, 114, 2407, 38207, 5296, 15042, 8608, 2288, 4587, 9154, 28239, 47432, 3660, 316, 4032, 41185, 28239, 11296, 10632, 4032, 36520, 24976, 1863, 47432, 3660, 363, 6225, 3215, 7578, 8978, 23032, 16572, 4587, 3224, 15844, 819, 3021, 15844, 5551, 41779, 41193, 4724, 9381, 2288, 10632, 3714, 46456, 46538, 3660, 37495, 22653, 6024, 114, 2407, 38207, 50113, 15040, 8608, 2288, 4587, 44650, 2288, 4032, 8717, 9381, 8978, 2423, 3224, 2407, 16606, 4032, 39182, 9957, 11778, 9778, 1211, 11331, 2407, 11242, 50113, 15040, 3714, 20292, 7649, 3714, 1829, 3224, 46811, 10943], "avg_logprob": -0.1918658017016509, "compression_ratio": 1.797709923664122, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 834.72, "end": 835.56, "word": "ووصل", "probability": 0.7511393229166666}, {"start": 835.56, "end": 836.16, "word": " للنقطة", "probability": 0.8543701171875}, {"start": 836.16, "end": 836.3, "word": " B", "probability": 0.416015625}, {"start": 836.3, "end": 836.46, "word": " في", "probability": 0.77783203125}, {"start": 836.46, "end": 836.98, "word": " الفراغ", "probability": 0.771240234375}, {"start": 836.98, "end": 838.44, "word": " معناته", "probability": 0.5071614583333334}, {"start": 838.44, "end": 838.94, "word": " بانجيس", "probability": 0.74013671875}, {"start": 838.94, "end": 839.48, "word": " المسافة", "probability": 0.968505859375}, {"start": 839.48, "end": 839.74, "word": " بين", "probability": 0.67431640625}, {"start": 839.74, "end": 839.9, "word": " A", "probability": 0.89501953125}, {"start": 839.9, "end": 840.16, "word": " وB", "probability": 0.85009765625}, {"start": 840.16, "end": 840.28, "word": " و", "probability": 0.5322265625}, {"start": 840.28, "end": 840.46, "word": " هذا", "probability": 0.30859375}, {"start": 840.46, "end": 840.68, "word": " هو", "probability": 0.96044921875}, {"start": 840.68, "end": 841.32, "word": " طول", "probability": 0.990234375}, {"start": 841.32, "end": 841.94, "word": " المنارد", "probability": 0.73297119140625}, {"start": 841.94, "end": 842.44, "word": " البصري", "probability": 0.9860026041666666}, {"start": 842.44, "end": 843.04, "word": " فنقول", "probability": 0.6254069010416666}, {"start": 843.04, "end": 843.44, "word": " لأ", "probability": 0.931396484375}, {"start": 843.44, "end": 844.04, "word": " الضوء", "probability": 0.8494873046875}, {"start": 844.04, "end": 844.4, "word": " لما", "probability": 0.917724609375}, {"start": 844.4, "end": 844.92, "word": " سرق", "probability": 0.6070963541666666}, {"start": 844.92, "end": 845.08, "word": " من", "probability": 0.99365234375}, {"start": 845.08, "end": 845.58, "word": " النقطة", "probability": 0.9560546875}, {"start": 845.58, "end": 845.72, "word": " A", "probability": 0.986328125}, {"start": 845.72, "end": 845.92, "word": " وفي", "probability": 0.72509765625}, {"start": 845.92, "end": 846.34, "word": " النهاية", "probability": 0.9236653645833334}, {"start": 846.34, "end": 846.64, "word": " وصل", "probability": 0.98779296875}, {"start": 846.64, "end": 847.22, "word": " للنقطة", "probability": 0.9423828125}, {"start": 847.22, "end": 847.44, "word": " B", "probability": 0.98681640625}, {"start": 847.44, "end": 848.42, "word": " عدى", "probability": 0.8670247395833334}, {"start": 848.42, "end": 848.54, "word": " في", "probability": 0.83984375}, {"start": 848.54, "end": 849.14, "word": " طريقه", "probability": 0.996337890625}, {"start": 849.14, "end": 849.5, "word": " على", "probability": 0.8916015625}, {"start": 849.5, "end": 850.94, "word": " different", "probability": 0.91845703125}, {"start": 850.94, "end": 851.46, "word": " media", "probability": 0.9365234375}, {"start": 851.46, "end": 851.72, "word": " على", "probability": 0.59033203125}, {"start": 851.72, "end": 852.12, "word": " أوساط", "probability": 0.794677734375}, {"start": 852.12, "end": 852.54, "word": " بصرية", "probability": 0.9437255859375}, {"start": 852.54, "end": 853.04, "word": " مختلفة", "probability": 0.9969482421875}, {"start": 853.04, "end": 853.18, "word": " يعني", "probability": 0.829833984375}, {"start": 853.18, "end": 853.46, "word": " الضوء", "probability": 0.9488525390625}, {"start": 853.46, "end": 853.8, "word": " مثلا", "probability": 0.924072265625}, {"start": 853.8, "end": 854.28, "word": " سرق", "probability": 0.9847005208333334}, {"start": 854.28, "end": 855.64, "word": " متر", "probability": 0.7490234375}, {"start": 855.64, "end": 855.74, "word": " و", "probability": 0.99462890625}, {"start": 855.74, "end": 855.92, "word": " نص", "probability": 0.87890625}, {"start": 855.92, "end": 856.06, "word": " في", "probability": 0.54150390625}, {"start": 856.06, "end": 856.42, "word": " الهواء", "probability": 0.8765869140625}, {"start": 856.42, "end": 856.58, "word": " و", "probability": 0.568359375}, {"start": 856.58, "end": 856.82, "word": " بعدين", "probability": 0.876220703125}, {"start": 856.82, "end": 857.12, "word": " دخل", "probability": 0.98681640625}, {"start": 857.12, "end": 857.44, "word": " حوض", "probability": 0.91943359375}, {"start": 857.44, "end": 857.82, "word": " مثلا", "probability": 0.953369140625}, {"start": 857.82, "end": 858.36, "word": " مليان", "probability": 0.9900716145833334}, {"start": 858.36, "end": 859.0, "word": " ميه", "probability": 0.7598470052083334}, {"start": 859.0, "end": 859.44, "word": " تمام", "probability": 0.995849609375}], "temperature": 1.0}, {"id": 39, "seek": 88564, "start": 859.7, "end": 885.64, "text": "The distance of the whale is 40 cm, then it left the whale and entered a third substance, for example, glass or something of this kind. So, we can't get a direct measurement and say, by God, that this is the length of the eye path that cut off the light. No. The purpose of the optical path length is to unite the media. What does it mean to unite the media? The light went into three or four", "tokens": [2278, 4560, 295, 264, 25370, 307, 3356, 14668, 11, 550, 309, 1411, 264, 25370, 293, 9065, 257, 2636, 12961, 11, 337, 1365, 11, 4276, 420, 746, 295, 341, 733, 13, 407, 11, 321, 393, 380, 483, 257, 2047, 13160, 293, 584, 11, 538, 1265, 11, 300, 341, 307, 264, 4641, 295, 264, 3313, 3100, 300, 1723, 766, 264, 1442, 13, 883, 13, 440, 4334, 295, 264, 20674, 3100, 4641, 307, 281, 29320, 264, 3021, 13, 708, 775, 309, 914, 281, 29320, 264, 3021, 30, 440, 1442, 1437, 666, 1045, 420, 1451], "avg_logprob": -0.533627731644589, "compression_ratio": 1.6610169491525424, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 859.7, "end": 860.1, "word": "The", "probability": 0.384765625}, {"start": 860.1, "end": 860.28, "word": " distance", "probability": 0.380859375}, {"start": 860.28, "end": 860.52, "word": " of", "probability": 0.763671875}, {"start": 860.52, "end": 860.56, "word": " the", "probability": 0.57958984375}, {"start": 860.56, "end": 860.64, "word": " whale", "probability": 0.63916015625}, {"start": 860.64, "end": 860.76, "word": " is", "probability": 0.6220703125}, {"start": 860.76, "end": 861.1, "word": " 40", "probability": 0.810546875}, {"start": 861.1, "end": 861.52, "word": " cm,", "probability": 0.411865234375}, {"start": 861.64, "end": 861.82, "word": " then", "probability": 0.56591796875}, {"start": 861.82, "end": 861.96, "word": " it", "probability": 0.4443359375}, {"start": 861.96, "end": 862.24, "word": " left", "probability": 0.281494140625}, {"start": 862.24, "end": 862.5, "word": " the", "probability": 0.75634765625}, {"start": 862.5, "end": 862.88, "word": " whale", "probability": 0.90625}, {"start": 862.88, "end": 864.0, "word": " and", "probability": 0.7451171875}, {"start": 864.0, "end": 864.54, "word": " entered", "probability": 0.35986328125}, {"start": 864.54, "end": 867.1, "word": " a", "probability": 0.330810546875}, {"start": 867.1, "end": 867.74, "word": " third", "probability": 0.7978515625}, {"start": 867.74, "end": 867.76, "word": " substance,", "probability": 0.52001953125}, {"start": 867.94, "end": 868.0, "word": " for", "probability": 0.391357421875}, {"start": 868.0, "end": 868.3, "word": " example,", "probability": 0.92822265625}, {"start": 868.76, "end": 869.22, "word": " glass", "probability": 0.7294921875}, {"start": 869.22, "end": 869.54, "word": " or", "probability": 0.78173828125}, {"start": 869.54, "end": 869.72, "word": " something", "probability": 0.74365234375}, {"start": 869.72, "end": 869.86, "word": " of", "probability": 0.485595703125}, {"start": 869.86, "end": 870.14, "word": " this", "probability": 0.47119140625}, {"start": 870.14, "end": 870.52, "word": " kind.", "probability": 0.65380859375}, {"start": 870.94, "end": 871.14, "word": " So,", "probability": 0.42626953125}, {"start": 871.62, "end": 871.72, "word": " we", "probability": 0.468017578125}, {"start": 871.72, "end": 872.16, "word": " can't", "probability": 0.5762939453125}, {"start": 872.16, "end": 872.48, "word": " get", "probability": 0.2138671875}, {"start": 872.48, "end": 872.66, "word": " a", "probability": 0.87841796875}, {"start": 872.66, "end": 873.44, "word": " direct", "probability": 0.82958984375}, {"start": 873.44, "end": 873.5, "word": " measurement", "probability": 0.4072265625}, {"start": 873.5, "end": 873.68, "word": " and", "probability": 0.85400390625}, {"start": 873.68, "end": 873.9, "word": " say,", "probability": 0.89208984375}, {"start": 874.02, "end": 874.08, "word": " by", "probability": 0.287353515625}, {"start": 874.08, "end": 874.38, "word": " God,", "probability": 0.5546875}, {"start": 875.2, "end": 875.34, "word": " that", "probability": 0.471435546875}, {"start": 875.34, "end": 875.72, "word": " this", "probability": 0.654296875}, {"start": 875.72, "end": 875.86, "word": " is", "probability": 0.90478515625}, {"start": 875.86, "end": 876.04, "word": " the", "probability": 0.79296875}, {"start": 876.04, "end": 876.12, "word": " length", "probability": 0.6826171875}, {"start": 876.12, "end": 876.28, "word": " of", "probability": 0.962890625}, {"start": 876.28, "end": 876.3, "word": " the", "probability": 0.81640625}, {"start": 876.3, "end": 876.84, "word": " eye", "probability": 0.1170654296875}, {"start": 876.84, "end": 876.94, "word": " path", "probability": 0.3671875}, {"start": 876.94, "end": 877.22, "word": " that", "probability": 0.6767578125}, {"start": 877.22, "end": 877.48, "word": " cut", "probability": 0.35595703125}, {"start": 877.48, "end": 877.72, "word": " off", "probability": 0.27490234375}, {"start": 877.72, "end": 877.72, "word": " the", "probability": 0.794921875}, {"start": 877.72, "end": 877.82, "word": " light.", "probability": 0.849609375}, {"start": 877.92, "end": 878.04, "word": " No.", "probability": 0.86181640625}, {"start": 878.5, "end": 878.58, "word": " The", "probability": 0.66650390625}, {"start": 878.58, "end": 878.88, "word": " purpose", "probability": 0.299560546875}, {"start": 878.88, "end": 879.12, "word": " of", "probability": 0.828125}, {"start": 879.12, "end": 879.22, "word": " the", "probability": 0.6572265625}, {"start": 879.22, "end": 879.58, "word": " optical", "probability": 0.771484375}, {"start": 879.58, "end": 880.12, "word": " path", "probability": 0.95068359375}, {"start": 880.12, "end": 880.56, "word": " length", "probability": 0.873046875}, {"start": 880.56, "end": 881.32, "word": " is", "probability": 0.88330078125}, {"start": 881.32, "end": 881.76, "word": " to", "probability": 0.95263671875}, {"start": 881.76, "end": 882.12, "word": " unite", "probability": 0.44384765625}, {"start": 882.12, "end": 882.5, "word": " the", "probability": 0.8701171875}, {"start": 882.5, "end": 882.76, "word": " media.", "probability": 0.87451171875}, {"start": 882.86, "end": 883.02, "word": " What", "probability": 0.884765625}, {"start": 883.02, "end": 883.18, "word": " does", "probability": 0.82421875}, {"start": 883.18, "end": 883.32, "word": " it", "probability": 0.44482421875}, {"start": 883.32, "end": 883.32, "word": " mean", "probability": 0.97119140625}, {"start": 883.32, "end": 883.32, "word": " to", "probability": 0.85302734375}, {"start": 883.32, "end": 883.44, "word": " unite", "probability": 0.77880859375}, {"start": 883.44, "end": 883.72, "word": " the", "probability": 0.87255859375}, {"start": 883.72, "end": 883.96, "word": " media?", "probability": 0.89990234375}, {"start": 884.1, "end": 884.26, "word": " The", "probability": 0.7431640625}, {"start": 884.26, "end": 884.42, "word": " light", "probability": 0.85888671875}, {"start": 884.42, "end": 884.68, "word": " went", "probability": 0.08563232421875}, {"start": 884.68, "end": 884.88, "word": " into", "probability": 0.243408203125}, {"start": 884.88, "end": 885.14, "word": " three", "probability": 0.74169921875}, {"start": 885.14, "end": 885.34, "word": " or", "probability": 0.64013671875}, {"start": 885.34, "end": 885.64, "word": " four", "probability": 0.95361328125}], "temperature": 1.0}, {"id": 40, "seek": 91253, "start": 886.75, "end": 912.53, "text": "visual medium between Sarayano in the air, then in the water, then in the glass, then in the air again, for example, to know exactly how much is Sarayano and how much is the length of the visual path, it is necessary to unify the media, to turn all the media into one substance. What does this look like in our practical life? We say this looks like a person, for example, Ahmed and Mahmoud. Ahmed has ten dollars and twenty shekels and fifty dinars.", "tokens": [4938, 901, 6399, 1296, 6894, 320, 3730, 294, 264, 1988, 11, 550, 294, 264, 1281, 11, 550, 294, 264, 4276, 11, 550, 294, 264, 1988, 797, 11, 337, 1365, 11, 281, 458, 2293, 577, 709, 307, 6894, 320, 3730, 293, 577, 709, 307, 264, 4641, 295, 264, 5056, 3100, 11, 309, 307, 4818, 281, 517, 2505, 264, 3021, 11, 281, 1261, 439, 264, 3021, 666, 472, 12961, 13, 708, 775, 341, 574, 411, 294, 527, 8496, 993, 30, 492, 584, 341, 1542, 411, 257, 954, 11, 337, 1365, 11, 39189, 293, 10104, 76, 1861, 13, 39189, 575, 2064, 3808, 293, 7699, 750, 7124, 82, 293, 13442, 3791, 685, 13], "avg_logprob": -0.4460227158936587, "compression_ratio": 1.814516129032258, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 886.75, "end": 887.19, "word": "visual", "probability": 0.5111083984375}, {"start": 887.19, "end": 887.19, "word": " medium", "probability": 0.1910400390625}, {"start": 887.19, "end": 887.63, "word": " between", "probability": 0.263427734375}, {"start": 887.63, "end": 888.73, "word": " Sarayano", "probability": 0.3719889322916667}, {"start": 888.73, "end": 888.85, "word": " in", "probability": 0.763671875}, {"start": 888.85, "end": 888.95, "word": " the", "probability": 0.67529296875}, {"start": 888.95, "end": 889.19, "word": " air,", "probability": 0.76171875}, {"start": 889.37, "end": 889.59, "word": " then", "probability": 0.8212890625}, {"start": 889.59, "end": 889.73, "word": " in", "probability": 0.80859375}, {"start": 889.73, "end": 889.85, "word": " the", "probability": 0.330078125}, {"start": 889.85, "end": 890.05, "word": " water,", "probability": 0.8134765625}, {"start": 890.15, "end": 890.31, "word": " then", "probability": 0.85009765625}, {"start": 890.31, "end": 890.47, "word": " in", "probability": 0.87841796875}, {"start": 890.47, "end": 890.51, "word": " the", "probability": 0.69287109375}, {"start": 890.51, "end": 890.81, "word": " glass,", "probability": 0.7626953125}, {"start": 890.97, "end": 891.15, "word": " then", "probability": 0.7578125}, {"start": 891.15, "end": 891.31, "word": " in", "probability": 0.88134765625}, {"start": 891.31, "end": 891.39, "word": " the", "probability": 0.90625}, {"start": 891.39, "end": 891.61, "word": " air", "probability": 0.87890625}, {"start": 891.61, "end": 891.83, "word": " again,", "probability": 0.57080078125}, {"start": 891.83, "end": 891.83, "word": " for", "probability": 0.8330078125}, {"start": 891.83, "end": 891.99, "word": " example,", "probability": 0.88525390625}, {"start": 892.07, "end": 893.35, "word": " to", "probability": 0.56201171875}, {"start": 893.35, "end": 893.83, "word": " know", "probability": 0.80078125}, {"start": 893.83, "end": 894.31, "word": " exactly", "probability": 0.8369140625}, {"start": 894.31, "end": 894.69, "word": " how", "probability": 0.91064453125}, {"start": 894.69, "end": 894.87, "word": " much", "probability": 0.52099609375}, {"start": 894.87, "end": 894.87, "word": " is", "probability": 0.1414794921875}, {"start": 894.87, "end": 895.23, "word": " Sarayano", "probability": 0.5657552083333334}, {"start": 895.23, "end": 895.43, "word": " and", "probability": 0.662109375}, {"start": 895.43, "end": 895.65, "word": " how", "probability": 0.912109375}, {"start": 895.65, "end": 895.79, "word": " much", "probability": 0.405029296875}, {"start": 895.79, "end": 895.79, "word": " is", "probability": 0.796875}, {"start": 895.79, "end": 895.91, "word": " the", "probability": 0.78466796875}, {"start": 895.91, "end": 896.03, "word": " length", "probability": 0.55126953125}, {"start": 896.03, "end": 896.21, "word": " of", "probability": 0.95751953125}, {"start": 896.21, "end": 896.23, "word": " the", "probability": 0.8310546875}, {"start": 896.23, "end": 896.87, "word": " visual", "probability": 0.490478515625}, {"start": 896.87, "end": 896.87, "word": " path,", "probability": 0.405029296875}, {"start": 897.41, "end": 897.41, "word": " it", "probability": 0.279052734375}, {"start": 897.41, "end": 897.47, "word": " is", "probability": 0.77587890625}, {"start": 897.47, "end": 897.77, "word": " necessary", "probability": 0.7119140625}, {"start": 897.77, "end": 897.97, "word": " to", "probability": 0.89208984375}, {"start": 897.97, "end": 898.27, "word": " unify", "probability": 0.6661376953125}, {"start": 898.27, "end": 898.49, "word": " the", "probability": 0.75439453125}, {"start": 898.49, "end": 898.69, "word": " media,", "probability": 0.85546875}, {"start": 898.85, "end": 898.89, "word": " to", "probability": 0.70556640625}, {"start": 898.89, "end": 899.21, "word": " turn", "probability": 0.324462890625}, {"start": 899.21, "end": 899.53, "word": " all", "probability": 0.448486328125}, {"start": 899.53, "end": 899.53, "word": " the", "probability": 0.63623046875}, {"start": 899.53, "end": 899.87, "word": " media", "probability": 0.9111328125}, {"start": 899.87, "end": 900.41, "word": " into", "probability": 0.66455078125}, {"start": 900.41, "end": 900.69, "word": " one", "probability": 0.87158203125}, {"start": 900.69, "end": 901.07, "word": " substance.", "probability": 0.261962890625}, {"start": 902.51, "end": 902.95, "word": " What", "probability": 0.61669921875}, {"start": 902.95, "end": 902.95, "word": " does", "probability": 0.8603515625}, {"start": 902.95, "end": 903.15, "word": " this", "probability": 0.7998046875}, {"start": 903.15, "end": 903.37, "word": " look", "probability": 0.6943359375}, {"start": 903.37, "end": 903.59, "word": " like", "probability": 0.9423828125}, {"start": 903.59, "end": 903.83, "word": " in", "probability": 0.869140625}, {"start": 903.83, "end": 904.27, "word": " our", "probability": 0.83984375}, {"start": 904.27, "end": 904.57, "word": " practical", "probability": 0.61474609375}, {"start": 904.57, "end": 904.81, "word": " life?", "probability": 0.84375}, {"start": 905.05, "end": 905.35, "word": " We", "probability": 0.69873046875}, {"start": 905.35, "end": 905.53, "word": " say", "probability": 0.84912109375}, {"start": 905.53, "end": 905.71, "word": " this", "probability": 0.51025390625}, {"start": 905.71, "end": 905.91, "word": " looks", "probability": 0.42919921875}, {"start": 905.91, "end": 906.15, "word": " like", "probability": 0.93212890625}, {"start": 906.15, "end": 906.33, "word": " a", "probability": 0.69580078125}, {"start": 906.33, "end": 906.61, "word": " person,", "probability": 0.6806640625}, {"start": 906.69, "end": 906.79, "word": " for", "probability": 0.7392578125}, {"start": 906.79, "end": 907.03, "word": " example,", "probability": 0.9609375}, {"start": 907.15, "end": 907.55, "word": " Ahmed", "probability": 0.65673828125}, {"start": 907.55, "end": 907.81, "word": " and", "probability": 0.89306640625}, {"start": 907.81, "end": 908.25, "word": " Mahmoud.", "probability": 0.8927408854166666}, {"start": 908.33, "end": 908.63, "word": " Ahmed", "probability": 0.91357421875}, {"start": 908.63, "end": 908.95, "word": " has", "probability": 0.387451171875}, {"start": 908.95, "end": 909.29, "word": " ten", "probability": 0.63818359375}, {"start": 909.29, "end": 909.69, "word": " dollars", "probability": 0.94775390625}, {"start": 909.69, "end": 910.47, "word": " and", "probability": 0.36328125}, {"start": 910.47, "end": 910.89, "word": " twenty", "probability": 0.82373046875}, {"start": 910.89, "end": 911.51, "word": " shekels", "probability": 0.8916015625}, {"start": 911.51, "end": 911.71, "word": " and", "probability": 0.8544921875}, {"start": 911.71, "end": 912.09, "word": " fifty", "probability": 0.91845703125}, {"start": 912.09, "end": 912.53, "word": " dinars.", "probability": 0.869873046875}], "temperature": 1.0}, {"id": 41, "seek": 93932, "start": 912.92, "end": 939.32, "text": "and Mahmoud has for example 10 dananir and 50 dollars and 70 shekels if we want to compare Ahmed and Mahmoud, who has more coins, we have to unite the coins, for example we turn all the coins into shekels and the other person turns all the coins into shekels and in the end he will share with Ahmed a quantity of the shekels and share with Mahmoud another quantity of the shekels", "tokens": [474, 10104, 76, 1861, 575, 337, 1365, 1266, 3277, 282, 347, 293, 2625, 3808, 293, 5285, 750, 7124, 82, 498, 321, 528, 281, 6794, 39189, 293, 10104, 76, 1861, 11, 567, 575, 544, 13561, 11, 321, 362, 281, 29320, 264, 13561, 11, 337, 1365, 321, 1261, 439, 264, 13561, 666, 750, 7124, 82, 293, 264, 661, 954, 4523, 439, 264, 13561, 666, 750, 7124, 82, 293, 294, 264, 917, 415, 486, 2073, 365, 39189, 257, 11275, 295, 264, 750, 7124, 82, 293, 2073, 365, 10104, 76, 1861, 1071, 11275, 295, 264, 750, 7124, 82], "avg_logprob": -0.4960526240499396, "compression_ratio": 1.9739583333333333, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 912.92, "end": 913.12, "word": "and", "probability": 0.5029296875}, {"start": 913.12, "end": 913.44, "word": " Mahmoud", "probability": 0.7550455729166666}, {"start": 913.44, "end": 913.74, "word": " has", "probability": 0.5302734375}, {"start": 913.74, "end": 913.92, "word": " for", "probability": 0.27880859375}, {"start": 913.92, "end": 914.28, "word": " example", "probability": 0.89794921875}, {"start": 914.28, "end": 915.0, "word": " 10", "probability": 0.693359375}, {"start": 915.0, "end": 915.56, "word": " dananir", "probability": 0.3623758951822917}, {"start": 915.56, "end": 915.7, "word": " and", "probability": 0.587890625}, {"start": 915.7, "end": 916.06, "word": " 50", "probability": 0.90869140625}, {"start": 916.06, "end": 916.48, "word": " dollars", "probability": 0.6533203125}, {"start": 916.48, "end": 916.66, "word": " and", "probability": 0.9267578125}, {"start": 916.66, "end": 917.04, "word": " 70", "probability": 0.9658203125}, {"start": 917.04, "end": 917.7, "word": " shekels", "probability": 0.8492838541666666}, {"start": 917.7, "end": 918.0, "word": " if", "probability": 0.435546875}, {"start": 918.0, "end": 918.32, "word": " we", "probability": 0.91552734375}, {"start": 918.32, "end": 918.32, "word": " want", "probability": 0.1279296875}, {"start": 918.32, "end": 918.44, "word": " to", "probability": 0.970703125}, {"start": 918.44, "end": 918.74, "word": " compare", "probability": 0.88525390625}, {"start": 918.74, "end": 919.36, "word": " Ahmed", "probability": 0.28173828125}, {"start": 919.36, "end": 919.58, "word": " and", "probability": 0.83056640625}, {"start": 919.58, "end": 920.1, "word": " Mahmoud,", "probability": 0.9593098958333334}, {"start": 920.48, "end": 920.68, "word": " who", "probability": 0.6435546875}, {"start": 920.68, "end": 920.94, "word": " has", "probability": 0.908203125}, {"start": 920.94, "end": 921.48, "word": " more", "probability": 0.89990234375}, {"start": 921.48, "end": 922.96, "word": " coins,", "probability": 0.4775390625}, {"start": 923.24, "end": 923.4, "word": " we", "probability": 0.8125}, {"start": 923.4, "end": 923.58, "word": " have", "probability": 0.35791015625}, {"start": 923.58, "end": 923.76, "word": " to", "probability": 0.97607421875}, {"start": 923.76, "end": 924.1, "word": " unite", "probability": 0.2127685546875}, {"start": 924.1, "end": 924.28, "word": " the", "probability": 0.6982421875}, {"start": 924.28, "end": 924.44, "word": " coins,", "probability": 0.494873046875}, {"start": 924.56, "end": 924.84, "word": " for", "probability": 0.10345458984375}, {"start": 924.84, "end": 925.54, "word": " example", "probability": 0.93505859375}, {"start": 925.54, "end": 925.64, "word": " we", "probability": 0.264404296875}, {"start": 925.64, "end": 926.04, "word": " turn", "probability": 0.30126953125}, {"start": 926.04, "end": 926.04, "word": " all", "probability": 0.6689453125}, {"start": 926.04, "end": 926.04, "word": " the", "probability": 0.417236328125}, {"start": 926.04, "end": 926.04, "word": " coins", "probability": 0.84765625}, {"start": 926.04, "end": 926.32, "word": " into", "probability": 0.71044921875}, {"start": 926.32, "end": 927.36, "word": " shekels", "probability": 0.92822265625}, {"start": 927.36, "end": 927.48, "word": " and", "probability": 0.7236328125}, {"start": 927.48, "end": 928.16, "word": " the", "probability": 0.5859375}, {"start": 928.16, "end": 928.3, "word": " other", "probability": 0.67333984375}, {"start": 928.3, "end": 928.56, "word": " person", "probability": 0.64990234375}, {"start": 928.56, "end": 928.92, "word": " turns", "probability": 0.34765625}, {"start": 928.92, "end": 929.04, "word": " all", "probability": 0.853515625}, {"start": 929.04, "end": 929.14, "word": " the", "probability": 0.7890625}, {"start": 929.14, "end": 929.3, "word": " coins", "probability": 0.89990234375}, {"start": 929.3, "end": 929.84, "word": " into", "probability": 0.86083984375}, {"start": 929.84, "end": 930.68, "word": " shekels", "probability": 0.9602864583333334}, {"start": 930.68, "end": 930.82, "word": " and", "probability": 0.68017578125}, {"start": 930.82, "end": 930.96, "word": " in", "probability": 0.1256103515625}, {"start": 930.96, "end": 931.38, "word": " the", "probability": 0.89306640625}, {"start": 931.38, "end": 931.38, "word": " end", "probability": 0.9169921875}, {"start": 931.38, "end": 933.24, "word": " he", "probability": 0.58984375}, {"start": 933.24, "end": 933.3, "word": " will", "probability": 0.67578125}, {"start": 933.3, "end": 933.56, "word": " share", "probability": 0.07904052734375}, {"start": 933.56, "end": 933.8, "word": " with", "probability": 0.45849609375}, {"start": 933.8, "end": 934.76, "word": " Ahmed", "probability": 0.85986328125}, {"start": 934.76, "end": 934.96, "word": " a", "probability": 0.3759765625}, {"start": 934.96, "end": 935.2, "word": " quantity", "probability": 0.399169921875}, {"start": 935.2, "end": 935.44, "word": " of", "probability": 0.9375}, {"start": 935.44, "end": 936.02, "word": " the", "probability": 0.496826171875}, {"start": 936.02, "end": 936.6, "word": " shekels", "probability": 0.8284505208333334}, {"start": 936.6, "end": 936.78, "word": " and", "probability": 0.8017578125}, {"start": 936.78, "end": 937.2, "word": " share", "probability": 0.164794921875}, {"start": 937.2, "end": 937.44, "word": " with", "probability": 0.5673828125}, {"start": 937.44, "end": 937.88, "word": " Mahmoud", "probability": 0.9684244791666666}, {"start": 937.88, "end": 938.04, "word": " another", "probability": 0.82177734375}, {"start": 938.04, "end": 938.32, "word": " quantity", "probability": 0.837890625}, {"start": 938.32, "end": 938.72, "word": " of", "probability": 0.95263671875}, {"start": 938.72, "end": 938.86, "word": " the", "probability": 0.86181640625}, {"start": 938.86, "end": 939.32, "word": " shekels", "probability": 0.9627278645833334}], "temperature": 1.0}, {"id": 42, "seek": 96827, "start": 939.55, "end": 968.27, "text": "and we will see which one of them has more money than the other one here to see the length of the first visual path that cut off the light and the length of the visual path that cut off the light from another source which one of them is longer, we must unite the media what does it mean to unite the media? to unite the media means to turn it all into air to turn it all into air to understand this case we will make a very simple example", "tokens": [474, 321, 486, 536, 597, 472, 295, 552, 575, 544, 1460, 813, 264, 661, 472, 510, 281, 536, 264, 4641, 295, 264, 700, 5056, 3100, 300, 1723, 766, 264, 1442, 293, 264, 4641, 295, 264, 5056, 3100, 300, 1723, 766, 264, 1442, 490, 1071, 4009, 597, 472, 295, 552, 307, 2854, 11, 321, 1633, 29320, 264, 3021, 437, 775, 309, 914, 281, 29320, 264, 3021, 30, 281, 29320, 264, 3021, 1355, 281, 1261, 309, 439, 666, 1988, 281, 1261, 309, 439, 666, 1988, 281, 1223, 341, 1389, 321, 486, 652, 257, 588, 2199, 1365], "avg_logprob": -0.40822367793635317, "compression_ratio": 2.1683168316831685, "no_speech_prob": 8.404254913330078e-06, "words": [{"start": 939.55, "end": 939.73, "word": "and", "probability": 0.1929931640625}, {"start": 939.73, "end": 939.87, "word": " we", "probability": 0.896484375}, {"start": 939.87, "end": 939.87, "word": " will", "probability": 0.5908203125}, {"start": 939.87, "end": 940.11, "word": " see", "probability": 0.84521484375}, {"start": 940.11, "end": 940.35, "word": " which", "probability": 0.464599609375}, {"start": 940.35, "end": 940.47, "word": " one", "probability": 0.666015625}, {"start": 940.47, "end": 940.47, "word": " of", "probability": 0.356689453125}, {"start": 940.47, "end": 940.75, "word": " them", "probability": 0.8955078125}, {"start": 940.75, "end": 941.73, "word": " has", "probability": 0.470703125}, {"start": 941.73, "end": 941.73, "word": " more", "probability": 0.884765625}, {"start": 941.73, "end": 943.11, "word": " money", "probability": 0.537109375}, {"start": 943.11, "end": 943.49, "word": " than", "probability": 0.58251953125}, {"start": 943.49, "end": 943.49, "word": " the", "probability": 0.86376953125}, {"start": 943.49, "end": 943.49, "word": " other", "probability": 0.755859375}, {"start": 943.49, "end": 943.49, "word": " one", "probability": 0.44970703125}, {"start": 943.49, "end": 944.05, "word": " here", "probability": 0.412353515625}, {"start": 944.05, "end": 944.37, "word": " to", "probability": 0.53857421875}, {"start": 944.37, "end": 944.85, "word": " see", "probability": 0.80419921875}, {"start": 944.85, "end": 945.71, "word": " the", "probability": 0.603515625}, {"start": 945.71, "end": 945.85, "word": " length", "probability": 0.626953125}, {"start": 945.85, "end": 946.01, "word": " of", "probability": 0.9677734375}, {"start": 946.01, "end": 946.47, "word": " the", "probability": 0.90673828125}, {"start": 946.47, "end": 946.53, "word": " first", "probability": 0.7236328125}, {"start": 946.53, "end": 946.77, "word": " visual", "probability": 0.1693115234375}, {"start": 946.77, "end": 947.03, "word": " path", "probability": 0.4775390625}, {"start": 947.03, "end": 947.65, "word": " that", "probability": 0.362060546875}, {"start": 947.65, "end": 947.93, "word": " cut", "probability": 0.39306640625}, {"start": 947.93, "end": 948.15, "word": " off", "probability": 0.403564453125}, {"start": 948.15, "end": 948.15, "word": " the", "probability": 0.609375}, {"start": 948.15, "end": 948.25, "word": " light", "probability": 0.80078125}, {"start": 948.25, "end": 948.45, "word": " and", "probability": 0.72265625}, {"start": 948.45, "end": 948.59, "word": " the", "probability": 0.8701171875}, {"start": 948.59, "end": 948.59, "word": " length", "probability": 0.7255859375}, {"start": 948.59, "end": 948.71, "word": " of", "probability": 0.9658203125}, {"start": 948.71, "end": 948.77, "word": " the", "probability": 0.89990234375}, {"start": 948.77, "end": 949.47, "word": " visual", "probability": 0.51220703125}, {"start": 949.47, "end": 949.47, "word": " path", "probability": 0.8642578125}, {"start": 949.47, "end": 949.83, "word": " that", "probability": 0.87939453125}, {"start": 949.83, "end": 950.07, "word": " cut", "probability": 0.8984375}, {"start": 950.07, "end": 950.23, "word": " off", "probability": 0.8759765625}, {"start": 950.23, "end": 950.37, "word": " the", "probability": 0.86181640625}, {"start": 950.37, "end": 950.61, "word": " light", "probability": 0.8740234375}, {"start": 950.61, "end": 951.97, "word": " from", "probability": 0.489501953125}, {"start": 951.97, "end": 952.79, "word": " another", "probability": 0.88232421875}, {"start": 952.79, "end": 952.79, "word": " source", "probability": 0.8212890625}, {"start": 952.79, "end": 953.37, "word": " which", "probability": 0.5400390625}, {"start": 953.37, "end": 953.51, "word": " one", "probability": 0.65673828125}, {"start": 953.51, "end": 953.51, "word": " of", "probability": 0.452392578125}, {"start": 953.51, "end": 953.69, "word": " them", "probability": 0.8916015625}, {"start": 953.69, "end": 953.77, "word": " is", "probability": 0.822265625}, {"start": 953.77, "end": 954.05, "word": " longer,", "probability": 0.77978515625}, {"start": 954.27, "end": 954.31, "word": " we", "probability": 0.755859375}, {"start": 954.31, "end": 954.65, "word": " must", "probability": 0.53857421875}, {"start": 954.65, "end": 955.03, "word": " unite", "probability": 0.345703125}, {"start": 955.03, "end": 955.35, "word": " the", "probability": 0.87890625}, {"start": 955.35, "end": 955.63, "word": " media", "probability": 0.9306640625}, {"start": 955.63, "end": 956.37, "word": " what", "probability": 0.6279296875}, {"start": 956.37, "end": 956.55, "word": " does", "probability": 0.8251953125}, {"start": 956.55, "end": 956.71, "word": " it", "probability": 0.426513671875}, {"start": 956.71, "end": 956.71, "word": " mean", "probability": 0.966796875}, {"start": 956.71, "end": 956.71, "word": " to", "probability": 0.86376953125}, {"start": 956.71, "end": 956.87, "word": " unite", "probability": 0.720703125}, {"start": 956.87, "end": 957.17, "word": " the", "probability": 0.87109375}, {"start": 957.17, "end": 957.49, "word": " media?", "probability": 0.89697265625}, {"start": 957.79, "end": 957.97, "word": " to", "probability": 0.72900390625}, {"start": 957.97, "end": 958.15, "word": " unite", "probability": 0.86328125}, {"start": 958.15, "end": 958.41, "word": " the", "probability": 0.89208984375}, {"start": 958.41, "end": 958.59, "word": " media", "probability": 0.8798828125}, {"start": 958.59, "end": 958.79, "word": " means", "probability": 0.473876953125}, {"start": 958.79, "end": 959.01, "word": " to", "probability": 0.8583984375}, {"start": 959.01, "end": 959.19, "word": " turn", "probability": 0.55322265625}, {"start": 959.19, "end": 959.37, "word": " it", "probability": 0.68701171875}, {"start": 959.37, "end": 959.77, "word": " all", "probability": 0.76318359375}, {"start": 959.77, "end": 960.67, "word": " into", "probability": 0.7919921875}, {"start": 960.67, "end": 960.89, "word": " air", "probability": 0.313720703125}, {"start": 960.89, "end": 961.29, "word": " to", "probability": 0.42919921875}, {"start": 961.29, "end": 961.53, "word": " turn", "probability": 0.76953125}, {"start": 961.53, "end": 961.71, "word": " it", "probability": 0.89892578125}, {"start": 961.71, "end": 961.93, "word": " all", "probability": 0.943359375}, {"start": 961.93, "end": 962.09, "word": " into", "probability": 0.86572265625}, {"start": 962.09, "end": 962.31, "word": " air", "probability": 0.904296875}, {"start": 962.31, "end": 962.85, "word": " to", "probability": 0.66455078125}, {"start": 962.85, "end": 963.25, "word": " understand", "probability": 0.73828125}, {"start": 963.25, "end": 963.55, "word": " this", "probability": 0.8896484375}, {"start": 963.55, "end": 963.99, "word": " case", "probability": 0.336669921875}, {"start": 963.99, "end": 965.81, "word": " we", "probability": 0.66064453125}, {"start": 965.81, "end": 965.85, "word": " will", "probability": 0.75244140625}, {"start": 965.85, "end": 966.09, "word": " make", "probability": 0.453857421875}, {"start": 966.09, "end": 966.73, "word": " a", "probability": 0.94970703125}, {"start": 966.73, "end": 966.89, "word": " very", "probability": 0.69873046875}, {"start": 966.89, "end": 968.09, "word": " simple", "probability": 0.9521484375}, {"start": 968.09, "end": 968.27, "word": " example", "probability": 0.4052734375}], "temperature": 1.0}, {"id": 43, "seek": 99754, "start": 969.64, "end": 997.54, "text": "بنقول نفرض عندي مصدرين للضوء مصدرين للضوء المصدر الأول الضوء light سرف الهواء in air two meters و هنا بنجوسين هكتب رقم واحد الرقم واحد هنا الان تساوي واحد الان يعني refractive index", "tokens": [3555, 1863, 39648, 8717, 5172, 43042, 18871, 16254, 3714, 9381, 3215, 2288, 9957, 24976, 11242, 2407, 38207, 3714, 9381, 3215, 2288, 9957, 24976, 11242, 2407, 38207, 9673, 9381, 3215, 2288, 16247, 12610, 2423, 11242, 2407, 38207, 1442, 8608, 28480, 2423, 3224, 2407, 16606, 294, 1988, 732, 8146, 4032, 34105, 44945, 7435, 41779, 9957, 8032, 4117, 2655, 3555, 12602, 4587, 2304, 36764, 24401, 34892, 4587, 2304, 36764, 24401, 34105, 2423, 7649, 6055, 3794, 995, 45865, 36764, 24401, 2423, 7649, 37495, 22653, 45353, 488, 8186], "avg_logprob": -0.16675967049031032, "compression_ratio": 1.6629213483146068, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 969.64, "end": 970.22, "word": "بنقول", "probability": 0.7220052083333334}, {"start": 970.22, "end": 972.76, "word": " نفرض", "probability": 0.8836263020833334}, {"start": 972.76, "end": 973.08, "word": " عندي", "probability": 0.7705078125}, {"start": 973.08, "end": 973.68, "word": " مصدرين", "probability": 0.9662109375}, {"start": 973.68, "end": 974.24, "word": " للضوء", "probability": 0.9144287109375}, {"start": 974.24, "end": 974.92, "word": " مصدرين", "probability": 0.846630859375}, {"start": 974.92, "end": 975.4, "word": " للضوء", "probability": 0.9842529296875}, {"start": 975.4, "end": 975.94, "word": " المصدر", "probability": 0.9454345703125}, {"start": 975.94, "end": 976.48, "word": " الأول", "probability": 0.973876953125}, {"start": 976.48, "end": 979.82, "word": " الضوء", "probability": 0.81268310546875}, {"start": 979.82, "end": 980.98, "word": " light", "probability": 0.6953125}, {"start": 980.98, "end": 984.5, "word": " سرف", "probability": 0.678955078125}, {"start": 984.5, "end": 984.94, "word": " الهواء", "probability": 0.8857421875}, {"start": 984.94, "end": 985.16, "word": " in", "probability": 0.90234375}, {"start": 985.16, "end": 985.56, "word": " air", "probability": 0.9033203125}, {"start": 985.56, "end": 987.14, "word": " two", "probability": 0.74755859375}, {"start": 987.14, "end": 987.64, "word": " meters", "probability": 0.87744140625}, {"start": 987.64, "end": 990.1, "word": " و", "probability": 0.387939453125}, {"start": 990.1, "end": 990.24, "word": " هنا", "probability": 0.63037109375}, {"start": 990.24, "end": 990.88, "word": " بنجوسين", "probability": 0.71661376953125}, {"start": 990.88, "end": 992.28, "word": " هكتب", "probability": 0.907470703125}, {"start": 992.28, "end": 992.62, "word": " رقم", "probability": 0.9923502604166666}, {"start": 992.62, "end": 993.04, "word": " واحد", "probability": 0.932861328125}, {"start": 993.04, "end": 993.62, "word": " الرقم", "probability": 0.8811848958333334}, {"start": 993.62, "end": 993.88, "word": " واحد", "probability": 0.994140625}, {"start": 993.88, "end": 994.06, "word": " هنا", "probability": 0.91748046875}, {"start": 994.06, "end": 994.4, "word": " الان", "probability": 0.745361328125}, {"start": 994.4, "end": 994.9, "word": " تساوي", "probability": 0.9039306640625}, {"start": 994.9, "end": 995.24, "word": " واحد", "probability": 0.98876953125}, {"start": 995.24, "end": 995.72, "word": " الان", "probability": 0.918701171875}, {"start": 995.72, "end": 996.4, "word": " يعني", "probability": 0.915283203125}, {"start": 996.4, "end": 997.06, "word": " refractive", "probability": 0.909912109375}, {"start": 997.06, "end": 997.54, "word": " index", "probability": 0.8857421875}], "temperature": 1.0}, {"id": 44, "seek": 102708, "start": 998.8, "end": 1027.08, "text": "one equals one then then water for example ninety centimeters of course now I want to assume that the water is equal to one third of ten then glass", "tokens": [546, 6915, 472, 550, 550, 1281, 337, 1365, 25063, 23300, 295, 1164, 586, 286, 528, 281, 6552, 300, 264, 1281, 307, 2681, 281, 472, 2636, 295, 2064, 550, 4276], "avg_logprob": -0.5234375278155009, "compression_ratio": 1.4271844660194175, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 998.8, "end": 999.18, "word": "one", "probability": 0.1104736328125}, {"start": 999.18, "end": 999.18, "word": " equals", "probability": 0.16943359375}, {"start": 999.18, "end": 999.7, "word": " one", "probability": 0.8427734375}, {"start": 999.7, "end": 1000.92, "word": " then", "probability": 0.59619140625}, {"start": 1000.92, "end": 1002.64, "word": " then", "probability": 0.43896484375}, {"start": 1002.64, "end": 1003.18, "word": " water", "probability": 0.8759765625}, {"start": 1003.18, "end": 1009.08, "word": " for", "probability": 0.46533203125}, {"start": 1009.08, "end": 1009.3, "word": " example", "probability": 0.93505859375}, {"start": 1009.3, "end": 1009.8, "word": " ninety", "probability": 0.484375}, {"start": 1009.8, "end": 1010.58, "word": " centimeters", "probability": 0.77001953125}, {"start": 1010.58, "end": 1012.94, "word": " of", "probability": 0.206787109375}, {"start": 1012.94, "end": 1012.94, "word": " course", "probability": 0.95166015625}, {"start": 1012.94, "end": 1013.44, "word": " now", "probability": 0.83349609375}, {"start": 1013.44, "end": 1014.1, "word": " I", "probability": 0.6875}, {"start": 1014.1, "end": 1014.2, "word": " want", "probability": 0.330322265625}, {"start": 1014.2, "end": 1014.4, "word": " to", "probability": 0.962890625}, {"start": 1014.4, "end": 1014.58, "word": " assume", "probability": 0.662109375}, {"start": 1014.58, "end": 1014.78, "word": " that", "probability": 0.82275390625}, {"start": 1014.78, "end": 1014.88, "word": " the", "probability": 0.4091796875}, {"start": 1014.88, "end": 1015.34, "word": " water", "probability": 0.8994140625}, {"start": 1015.34, "end": 1017.84, "word": " is", "probability": 0.51904296875}, {"start": 1017.84, "end": 1018.22, "word": " equal", "probability": 0.53564453125}, {"start": 1018.22, "end": 1018.66, "word": " to", "probability": 0.9375}, {"start": 1018.66, "end": 1018.82, "word": " one", "probability": 0.73193359375}, {"start": 1018.82, "end": 1019.3, "word": " third", "probability": 0.2275390625}, {"start": 1019.3, "end": 1019.54, "word": " of", "probability": 0.923828125}, {"start": 1019.54, "end": 1019.86, "word": " ten", "probability": 0.8369140625}, {"start": 1019.86, "end": 1023.82, "word": " then", "probability": 0.80419921875}, {"start": 1023.82, "end": 1027.08, "word": " glass", "probability": 0.8720703125}], "temperature": 1.0}, {"id": 45, "seek": 105746, "start": 1030.98, "end": 1057.46, "text": "عشرين سانتي يعني صرف الزجاج عشرين سانتي طيب الزجاج واحد و نص الان تعو يعني ال refractive index تعو الان المطلوب يعني الضوء صرف الهواء مسافة مترين بعدها دخل على حوض مية تسعين سانتي طوله قطع الماء و بعدين صرفي الزجاج عشرين سانتي بدنا نحسب ال optical path length", "tokens": [3615, 46309, 9957, 8608, 7649, 31371, 37495, 22653, 20328, 28480, 6024, 110, 7435, 26108, 6225, 46309, 9957, 8608, 7649, 31371, 23032, 1829, 3555, 6024, 110, 7435, 26108, 36764, 24401, 4032, 8717, 9381, 2423, 7649, 37279, 2407, 37495, 22653, 2423, 45353, 488, 8186, 37279, 2407, 2423, 7649, 9673, 9566, 1211, 37746, 37495, 22653, 6024, 114, 2407, 38207, 20328, 28480, 2423, 3224, 2407, 16606, 47524, 31845, 3660, 44650, 2288, 9957, 39182, 11296, 11778, 9778, 1211, 15844, 11331, 2407, 11242, 3714, 10632, 6055, 3794, 3615, 9957, 8608, 7649, 31371, 23032, 12610, 3224, 12174, 9566, 3615, 9673, 16606, 4032, 39182, 9957, 20328, 28480, 1829, 6024, 110, 7435, 26108, 6225, 46309, 9957, 8608, 7649, 31371, 47525, 8315, 8717, 5016, 35457, 2423, 20674, 3100, 4641], "avg_logprob": -0.19908854365348816, "compression_ratio": 1.9641255605381165, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 1030.98, "end": 1031.6, "word": "عشرين", "probability": 0.62353515625}, {"start": 1031.6, "end": 1032.08, "word": " سانتي", "probability": 0.5846354166666666}, {"start": 1032.08, "end": 1032.94, "word": " يعني", "probability": 0.56256103515625}, {"start": 1032.94, "end": 1033.24, "word": " صرف", "probability": 0.800048828125}, {"start": 1033.24, "end": 1033.86, "word": " الزجاج", "probability": 0.9276123046875}, {"start": 1033.86, "end": 1035.3, "word": " عشرين", "probability": 0.9396158854166666}, {"start": 1035.3, "end": 1035.7, "word": " سانتي", "probability": 0.93701171875}, {"start": 1035.7, "end": 1036.88, "word": " طيب", "probability": 0.6949055989583334}, {"start": 1036.88, "end": 1037.96, "word": " الزجاج", "probability": 0.800933837890625}, {"start": 1037.96, "end": 1038.34, "word": " واحد", "probability": 0.963623046875}, {"start": 1038.34, "end": 1038.44, "word": " و", "probability": 0.99560546875}, {"start": 1038.44, "end": 1038.72, "word": " نص", "probability": 0.94482421875}, {"start": 1038.72, "end": 1039.08, "word": " الان", "probability": 0.791015625}, {"start": 1039.08, "end": 1039.42, "word": " تعو", "probability": 0.4720458984375}, {"start": 1039.42, "end": 1039.62, "word": " يعني", "probability": 0.89990234375}, {"start": 1039.62, "end": 1039.76, "word": " ال", "probability": 0.650390625}, {"start": 1039.76, "end": 1040.24, "word": " refractive", "probability": 0.93310546875}, {"start": 1040.24, "end": 1040.58, "word": " index", "probability": 0.89794921875}, {"start": 1040.58, "end": 1042.16, "word": " تعو", "probability": 0.77880859375}, {"start": 1042.16, "end": 1043.32, "word": " الان", "probability": 0.67236328125}, {"start": 1043.32, "end": 1043.96, "word": " المطلوب", "probability": 0.9759521484375}, {"start": 1043.96, "end": 1044.6, "word": " يعني", "probability": 0.9453125}, {"start": 1044.6, "end": 1044.94, "word": " الضوء", "probability": 0.758544921875}, {"start": 1044.94, "end": 1045.18, "word": " صرف", "probability": 0.655517578125}, {"start": 1045.18, "end": 1045.68, "word": " الهواء", "probability": 0.7755126953125}, {"start": 1045.68, "end": 1046.18, "word": " مسافة", "probability": 0.9855143229166666}, {"start": 1046.18, "end": 1046.66, "word": " مترين", "probability": 0.8878580729166666}, {"start": 1046.66, "end": 1047.22, "word": " بعدها", "probability": 0.65283203125}, {"start": 1047.22, "end": 1047.62, "word": " دخل", "probability": 0.9881184895833334}, {"start": 1047.62, "end": 1047.92, "word": " على", "probability": 0.8896484375}, {"start": 1047.92, "end": 1048.6, "word": " حوض", "probability": 0.9002278645833334}, {"start": 1048.6, "end": 1048.88, "word": " مية", "probability": 0.766845703125}, {"start": 1048.88, "end": 1049.34, "word": " تسعين", "probability": 0.971923828125}, {"start": 1049.34, "end": 1049.8, "word": " سانتي", "probability": 0.9254557291666666}, {"start": 1049.8, "end": 1050.56, "word": " طوله", "probability": 0.9920247395833334}, {"start": 1050.56, "end": 1051.22, "word": " قطع", "probability": 0.9357096354166666}, {"start": 1051.22, "end": 1051.64, "word": " الماء", "probability": 0.94482421875}, {"start": 1051.64, "end": 1051.86, "word": " و", "probability": 0.8798828125}, {"start": 1051.86, "end": 1052.34, "word": " بعدين", "probability": 0.87353515625}, {"start": 1052.34, "end": 1053.18, "word": " صرفي", "probability": 0.9405924479166666}, {"start": 1053.18, "end": 1053.76, "word": " الزجاج", "probability": 0.945556640625}, {"start": 1053.76, "end": 1054.2, "word": " عشرين", "probability": 0.9651692708333334}, {"start": 1054.2, "end": 1054.62, "word": " سانتي", "probability": 0.9581705729166666}, {"start": 1054.62, "end": 1055.44, "word": " بدنا", "probability": 0.95556640625}, {"start": 1055.44, "end": 1055.88, "word": " نحسب", "probability": 0.9962565104166666}, {"start": 1055.88, "end": 1056.1, "word": " ال", "probability": 0.9833984375}, {"start": 1056.1, "end": 1056.62, "word": " optical", "probability": 0.9609375}, {"start": 1056.62, "end": 1057.08, "word": " path", "probability": 0.701171875}, {"start": 1057.08, "end": 1057.46, "word": " length", "probability": 0.83984375}], "temperature": 1.0}, {"id": 46, "seek": 108800, "start": 1063.28, "end": 1088.0, "text": "Calculate the optical path length. What does calculate the optical path length mean? Calculate the optical path length. When we say calculate the length of the visual path, it means in time, in time, and I hope to focus on the speech now.", "tokens": [31279, 2444, 473, 264, 20674, 3100, 4641, 13, 708, 775, 8873, 264, 20674, 3100, 4641, 914, 30, 3511, 2444, 473, 264, 20674, 3100, 4641, 13, 1133, 321, 584, 8873, 264, 40116, 70, 392, 295, 264, 5056, 3100, 11, 309, 1355, 294, 565, 11, 294, 565, 11, 293, 286, 1454, 281, 1879, 322, 264, 6218, 586, 13], "avg_logprob": -0.34923245614035087, "compression_ratio": 1.904, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1063.28, "end": 1063.96, "word": "Calculate", "probability": 0.9002278645833334}, {"start": 1063.96, "end": 1064.64, "word": " the", "probability": 0.8955078125}, {"start": 1064.64, "end": 1065.46, "word": " optical", "probability": 0.9306640625}, {"start": 1065.46, "end": 1066.52, "word": " path", "probability": 0.935546875}, {"start": 1066.52, "end": 1067.0, "word": " length.", "probability": 0.8095703125}, {"start": 1067.5, "end": 1068.18, "word": " What", "probability": 0.55859375}, {"start": 1068.18, "end": 1068.32, "word": " does", "probability": 0.76611328125}, {"start": 1068.32, "end": 1068.88, "word": " calculate", "probability": 0.8984375}, {"start": 1068.88, "end": 1069.02, "word": " the", "probability": 0.8369140625}, {"start": 1069.02, "end": 1069.38, "word": " optical", "probability": 0.90478515625}, {"start": 1069.38, "end": 1069.74, "word": " path", "probability": 0.9541015625}, {"start": 1069.74, "end": 1069.94, "word": " length", "probability": 0.88330078125}, {"start": 1069.94, "end": 1069.94, "word": " mean?", "probability": 0.91015625}, {"start": 1070.08, "end": 1070.76, "word": " Calculate", "probability": 0.9178059895833334}, {"start": 1070.76, "end": 1075.16, "word": " the", "probability": 0.85693359375}, {"start": 1075.16, "end": 1075.58, "word": " optical", "probability": 0.95458984375}, {"start": 1075.58, "end": 1076.02, "word": " path", "probability": 0.9609375}, {"start": 1076.02, "end": 1076.44, "word": " length.", "probability": 0.86083984375}, {"start": 1079.34, "end": 1079.48, "word": " When", "probability": 0.8486328125}, {"start": 1079.48, "end": 1079.66, "word": " we", "probability": 0.64208984375}, {"start": 1079.66, "end": 1079.78, "word": " say", "probability": 0.93994140625}, {"start": 1079.78, "end": 1080.2, "word": " calculate", "probability": 0.5703125}, {"start": 1080.2, "end": 1080.52, "word": " the", "probability": 0.56005859375}, {"start": 1080.52, "end": 1080.64, "word": " length", "probability": 0.7383626302083334}, {"start": 1080.64, "end": 1080.76, "word": " of", "probability": 0.96630859375}, {"start": 1080.76, "end": 1080.84, "word": " the", "probability": 0.8271484375}, {"start": 1080.84, "end": 1081.48, "word": " visual", "probability": 0.40576171875}, {"start": 1081.48, "end": 1081.48, "word": " path,", "probability": 0.619140625}, {"start": 1082.06, "end": 1082.64, "word": " it", "probability": 0.2578125}, {"start": 1082.64, "end": 1082.72, "word": " means", "probability": 0.87646484375}, {"start": 1082.72, "end": 1083.78, "word": " in", "probability": 0.489990234375}, {"start": 1083.78, "end": 1084.32, "word": " time,", "probability": 0.78662109375}, {"start": 1084.84, "end": 1085.12, "word": " in", "probability": 0.84521484375}, {"start": 1085.12, "end": 1085.62, "word": " time,", "probability": 0.89306640625}, {"start": 1085.86, "end": 1085.96, "word": " and", "probability": 0.8623046875}, {"start": 1085.96, "end": 1086.14, "word": " I", "probability": 0.61669921875}, {"start": 1086.14, "end": 1086.32, "word": " hope", "probability": 0.716796875}, {"start": 1086.32, "end": 1086.88, "word": " to", "probability": 0.181884765625}, {"start": 1086.88, "end": 1087.2, "word": " focus", "probability": 0.802734375}, {"start": 1087.2, "end": 1087.36, "word": " on", "probability": 0.86328125}, {"start": 1087.36, "end": 1087.48, "word": " the", "probability": 0.42724609375}, {"start": 1087.48, "end": 1087.68, "word": " speech", "probability": 0.460693359375}, {"start": 1087.68, "end": 1088.0, "word": " now.", "probability": 0.75830078125}], "temperature": 1.0}, {"id": 47, "seek": 110773, "start": 1088.45, "end": 1107.73, "text": "In the time that the light cuts two meters in the air and ninety centimeters in water and twenty centimeters in glass, if we assume that the light became silent in the same time, if the distance became in the air, how long would it cut? If the light remained in the air, if the light remained in the air", "tokens": [4575, 264, 565, 300, 264, 1442, 9992, 732, 8146, 294, 264, 1988, 293, 25063, 23300, 294, 1281, 293, 7699, 23300, 294, 4276, 11, 498, 321, 6552, 300, 264, 1442, 3062, 12784, 294, 264, 912, 565, 11, 498, 264, 4560, 3062, 294, 264, 1988, 11, 577, 938, 576, 309, 1723, 30, 759, 264, 1442, 12780, 294, 264, 1988, 11, 498, 264, 1442, 12780, 294, 264, 1988], "avg_logprob": -0.4280302921930949, "compression_ratio": 2.033557046979866, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1088.45, "end": 1088.77, "word": "In", "probability": 0.47021484375}, {"start": 1088.77, "end": 1088.91, "word": " the", "probability": 0.296875}, {"start": 1088.91, "end": 1089.17, "word": " time", "probability": 0.6328125}, {"start": 1089.17, "end": 1089.53, "word": " that", "probability": 0.365234375}, {"start": 1089.53, "end": 1089.69, "word": " the", "probability": 0.373779296875}, {"start": 1089.69, "end": 1089.87, "word": " light", "probability": 0.76416015625}, {"start": 1089.87, "end": 1090.37, "word": " cuts", "probability": 0.0826416015625}, {"start": 1090.37, "end": 1090.55, "word": " two", "probability": 0.353515625}, {"start": 1090.55, "end": 1090.89, "word": " meters", "probability": 0.83984375}, {"start": 1090.89, "end": 1091.07, "word": " in", "probability": 0.6220703125}, {"start": 1091.07, "end": 1091.13, "word": " the", "probability": 0.8154296875}, {"start": 1091.13, "end": 1091.35, "word": " air", "probability": 0.81884765625}, {"start": 1091.35, "end": 1091.89, "word": " and", "probability": 0.6435546875}, {"start": 1091.89, "end": 1092.37, "word": " ninety", "probability": 0.55224609375}, {"start": 1092.37, "end": 1092.73, "word": " centimeters", "probability": 0.77490234375}, {"start": 1092.73, "end": 1092.99, "word": " in", "probability": 0.9267578125}, {"start": 1092.99, "end": 1093.33, "word": " water", "probability": 0.64453125}, {"start": 1093.33, "end": 1093.79, "word": " and", "probability": 0.83349609375}, {"start": 1093.79, "end": 1094.07, "word": " twenty", "probability": 0.8251953125}, {"start": 1094.07, "end": 1094.45, "word": " centimeters", "probability": 0.92138671875}, {"start": 1094.45, "end": 1094.63, "word": " in", "probability": 0.943359375}, {"start": 1094.63, "end": 1095.09, "word": " glass,", "probability": 0.78173828125}, {"start": 1095.57, "end": 1095.97, "word": " if", "probability": 0.88818359375}, {"start": 1095.97, "end": 1096.25, "word": " we", "probability": 0.806640625}, {"start": 1096.25, "end": 1096.67, "word": " assume", "probability": 0.57080078125}, {"start": 1096.67, "end": 1097.03, "word": " that", "probability": 0.8994140625}, {"start": 1097.03, "end": 1097.11, "word": " the", "probability": 0.73486328125}, {"start": 1097.11, "end": 1097.27, "word": " light", "probability": 0.8740234375}, {"start": 1097.27, "end": 1097.73, "word": " became", "probability": 0.3056640625}, {"start": 1097.73, "end": 1098.95, "word": " silent", "probability": 0.138671875}, {"start": 1098.95, "end": 1099.15, "word": " in", "probability": 0.477783203125}, {"start": 1099.15, "end": 1099.33, "word": " the", "probability": 0.72705078125}, {"start": 1099.33, "end": 1100.27, "word": " same", "probability": 0.71142578125}, {"start": 1100.27, "end": 1100.77, "word": " time,", "probability": 0.79931640625}, {"start": 1101.19, "end": 1101.31, "word": " if", "probability": 0.9052734375}, {"start": 1101.31, "end": 1101.69, "word": " the", "probability": 0.51025390625}, {"start": 1101.69, "end": 1102.07, "word": " distance", "probability": 0.7880859375}, {"start": 1102.07, "end": 1102.21, "word": " became", "probability": 0.60302734375}, {"start": 1102.21, "end": 1102.37, "word": " in", "probability": 0.7333984375}, {"start": 1102.37, "end": 1102.69, "word": " the", "probability": 0.806640625}, {"start": 1102.69, "end": 1102.89, "word": " air,", "probability": 0.85888671875}, {"start": 1102.95, "end": 1103.13, "word": " how", "probability": 0.8564453125}, {"start": 1103.13, "end": 1103.37, "word": " long", "probability": 0.338134765625}, {"start": 1103.37, "end": 1103.63, "word": " would", "probability": 0.56982421875}, {"start": 1103.63, "end": 1103.75, "word": " it", "probability": 0.8759765625}, {"start": 1103.75, "end": 1103.95, "word": " cut?", "probability": 0.5810546875}, {"start": 1104.41, "end": 1104.73, "word": " If", "probability": 0.84375}, {"start": 1104.73, "end": 1104.89, "word": " the", "probability": 0.86279296875}, {"start": 1104.89, "end": 1105.15, "word": " light", "probability": 0.8828125}, {"start": 1105.15, "end": 1105.39, "word": " remained", "probability": 0.39892578125}, {"start": 1105.39, "end": 1105.55, "word": " in", "probability": 0.9345703125}, {"start": 1105.55, "end": 1105.65, "word": " the", "probability": 0.90625}, {"start": 1105.65, "end": 1105.85, "word": " air,", "probability": 0.90771484375}, {"start": 1106.47, "end": 1106.71, "word": " if", "probability": 0.9228515625}, {"start": 1106.71, "end": 1106.85, "word": " the", "probability": 0.90673828125}, {"start": 1106.85, "end": 1107.05, "word": " light", "probability": 0.8876953125}, {"start": 1107.05, "end": 1107.31, "word": " remained", "probability": 0.935546875}, {"start": 1107.31, "end": 1107.45, "word": " in", "probability": 0.9462890625}, {"start": 1107.45, "end": 1107.55, "word": " the", "probability": 0.92138671875}, {"start": 1107.55, "end": 1107.73, "word": " air", "probability": 0.91357421875}], "temperature": 1.0}, {"id": 48, "seek": 113017, "start": 1108.59, "end": 1130.17, "text": "It was not a fraction of a distance, it was a fraction of a distance. The real distance that light travels is equal to two meters, plus ninety centimeters, plus twenty centimeters. That is, the distance that light actually travels in this experiment is two meters in the air, ninety centimeters in water, and twenty centimeters in glass. That is, the total distance is three meters and ten centimeters.", "tokens": [3522, 390, 406, 257, 14135, 295, 257, 4560, 11, 309, 390, 257, 14135, 295, 257, 4560, 13, 440, 957, 4560, 300, 1442, 19863, 307, 2681, 281, 732, 8146, 11, 1804, 25063, 23300, 11, 1804, 7699, 23300, 13, 663, 307, 11, 264, 4560, 300, 1442, 767, 19863, 294, 341, 5120, 307, 732, 8146, 294, 264, 1988, 11, 25063, 23300, 294, 1281, 11, 293, 7699, 23300, 294, 4276, 13, 663, 307, 11, 264, 3217, 4560, 307, 1045, 8146, 293, 2064, 23300, 13], "avg_logprob": -0.4988426043663496, "compression_ratio": 2.2458100558659218, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 1108.59, "end": 1109.09, "word": "It", "probability": 0.215576171875}, {"start": 1109.09, "end": 1109.09, "word": " was", "probability": 0.353515625}, {"start": 1109.09, "end": 1109.63, "word": " not", "probability": 0.55419921875}, {"start": 1109.63, "end": 1109.75, "word": " a", "probability": 0.35302734375}, {"start": 1109.75, "end": 1109.97, "word": " fraction", "probability": 0.11553955078125}, {"start": 1109.97, "end": 1110.13, "word": " of", "probability": 0.87744140625}, {"start": 1110.13, "end": 1110.21, "word": " a", "probability": 0.50634765625}, {"start": 1110.21, "end": 1110.51, "word": " distance,", "probability": 0.85400390625}, {"start": 1110.71, "end": 1110.83, "word": " it", "probability": 0.2252197265625}, {"start": 1110.83, "end": 1110.95, "word": " was", "probability": 0.68017578125}, {"start": 1110.95, "end": 1111.17, "word": " a", "probability": 0.293212890625}, {"start": 1111.17, "end": 1111.45, "word": " fraction", "probability": 0.66650390625}, {"start": 1111.45, "end": 1111.57, "word": " of", "probability": 0.6357421875}, {"start": 1111.57, "end": 1111.57, "word": " a", "probability": 0.1927490234375}, {"start": 1111.57, "end": 1111.57, "word": " distance.", "probability": 0.80615234375}, {"start": 1111.57, "end": 1111.71, "word": " The", "probability": 0.6640625}, {"start": 1111.71, "end": 1112.51, "word": " real", "probability": 0.30517578125}, {"start": 1112.51, "end": 1112.51, "word": " distance", "probability": 0.888671875}, {"start": 1112.51, "end": 1112.83, "word": " that", "probability": 0.3330078125}, {"start": 1112.83, "end": 1113.35, "word": " light", "probability": 0.29443359375}, {"start": 1113.35, "end": 1113.35, "word": " travels", "probability": 0.052398681640625}, {"start": 1113.35, "end": 1113.71, "word": " is", "probability": 0.73486328125}, {"start": 1113.71, "end": 1113.83, "word": " equal", "probability": 0.26806640625}, {"start": 1113.83, "end": 1113.95, "word": " to", "probability": 0.966796875}, {"start": 1113.95, "end": 1114.03, "word": " two", "probability": 0.48876953125}, {"start": 1114.03, "end": 1114.25, "word": " meters,", "probability": 0.9072265625}, {"start": 1114.67, "end": 1115.11, "word": " plus", "probability": 0.7734375}, {"start": 1115.11, "end": 1115.65, "word": " ninety", "probability": 0.611328125}, {"start": 1115.65, "end": 1116.11, "word": " centimeters,", "probability": 0.7890625}, {"start": 1116.65, "end": 1116.91, "word": " plus", "probability": 0.91943359375}, {"start": 1116.91, "end": 1117.35, "word": " twenty", "probability": 0.80908203125}, {"start": 1117.35, "end": 1117.75, "word": " centimeters.", "probability": 0.90673828125}, {"start": 1117.91, "end": 1118.01, "word": " That", "probability": 0.277587890625}, {"start": 1118.01, "end": 1118.03, "word": " is,", "probability": 0.80029296875}, {"start": 1118.09, "end": 1118.17, "word": " the", "probability": 0.896484375}, {"start": 1118.17, "end": 1118.55, "word": " distance", "probability": 0.75537109375}, {"start": 1118.55, "end": 1118.81, "word": " that", "probability": 0.81103515625}, {"start": 1118.81, "end": 1120.11, "word": " light", "probability": 0.73388671875}, {"start": 1120.11, "end": 1120.11, "word": " actually", "probability": 0.47265625}, {"start": 1120.11, "end": 1120.11, "word": " travels", "probability": 0.8115234375}, {"start": 1120.11, "end": 1120.37, "word": " in", "probability": 0.70654296875}, {"start": 1120.37, "end": 1121.39, "word": " this", "probability": 0.8564453125}, {"start": 1121.39, "end": 1121.93, "word": " experiment", "probability": 0.951171875}, {"start": 1121.93, "end": 1122.59, "word": " is", "probability": 0.55078125}, {"start": 1122.59, "end": 1122.91, "word": " two", "probability": 0.82275390625}, {"start": 1122.91, "end": 1123.21, "word": " meters", "probability": 0.91015625}, {"start": 1123.21, "end": 1123.41, "word": " in", "probability": 0.83740234375}, {"start": 1123.41, "end": 1123.51, "word": " the", "probability": 0.67919921875}, {"start": 1123.51, "end": 1123.77, "word": " air,", "probability": 0.87744140625}, {"start": 1124.41, "end": 1124.75, "word": " ninety", "probability": 0.7548828125}, {"start": 1124.75, "end": 1125.17, "word": " centimeters", "probability": 0.8974609375}, {"start": 1125.17, "end": 1125.35, "word": " in", "probability": 0.939453125}, {"start": 1125.35, "end": 1125.63, "word": " water,", "probability": 0.455810546875}, {"start": 1125.87, "end": 1125.93, "word": " and", "probability": 0.8349609375}, {"start": 1125.93, "end": 1126.17, "word": " twenty", "probability": 0.8173828125}, {"start": 1126.17, "end": 1126.63, "word": " centimeters", "probability": 0.92138671875}, {"start": 1126.63, "end": 1127.41, "word": " in", "probability": 0.9375}, {"start": 1127.41, "end": 1127.77, "word": " glass.", "probability": 0.5791015625}, {"start": 1127.83, "end": 1127.95, "word": " That", "probability": 0.50830078125}, {"start": 1127.95, "end": 1127.97, "word": " is,", "probability": 0.86181640625}, {"start": 1128.03, "end": 1128.07, "word": " the", "probability": 0.85498046875}, {"start": 1128.07, "end": 1128.11, "word": " total", "probability": 0.8798828125}, {"start": 1128.11, "end": 1128.87, "word": " distance", "probability": 0.8994140625}, {"start": 1128.87, "end": 1129.05, "word": " is", "probability": 0.89013671875}, {"start": 1129.05, "end": 1129.39, "word": " three", "probability": 0.85546875}, {"start": 1129.39, "end": 1129.71, "word": " meters", "probability": 0.67822265625}, {"start": 1129.71, "end": 1129.87, "word": " and", "probability": 0.7822265625}, {"start": 1129.87, "end": 1130.01, "word": " ten", "probability": 0.9169921875}, {"start": 1130.01, "end": 1130.17, "word": " centimeters.", "probability": 0.441650390625}], "temperature": 1.0}, {"id": 49, "seek": 114497, "start": 1130.93, "end": 1144.97, "text": "تلاتة متر و عشرة، لأن عشرين و تسعين يعني مية و عشرة سانتي، يعني متر و عشرة سانتي، مية و عشرة سانتي يعني متر و عشرة سانتي، بنضيف عليهم مترين، يعني حقيقة القطع قطع", "tokens": [2655, 1211, 9307, 3660, 44650, 2288, 4032, 6225, 8592, 25720, 12399, 5296, 33456, 6225, 46309, 9957, 4032, 6055, 3794, 3615, 9957, 37495, 22653, 3714, 10632, 4032, 6225, 8592, 25720, 8608, 7649, 31371, 12399, 37495, 22653, 44650, 2288, 4032, 6225, 8592, 25720, 8608, 7649, 31371, 12399, 3714, 10632, 4032, 6225, 8592, 25720, 8608, 7649, 31371, 37495, 22653, 44650, 2288, 4032, 6225, 8592, 25720, 8608, 7649, 31371, 12399, 44945, 11242, 33911, 25894, 16095, 44650, 2288, 9957, 12399, 37495, 22653, 11331, 38436, 28671, 25062, 9566, 3615, 12174, 9566, 3615], "avg_logprob": -0.2507183777874914, "compression_ratio": 2.3306451612903225, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 1130.93, "end": 1131.43, "word": "تلاتة", "probability": 0.739593505859375}, {"start": 1131.43, "end": 1131.69, "word": " متر", "probability": 0.942626953125}, {"start": 1131.69, "end": 1131.75, "word": " و", "probability": 0.9619140625}, {"start": 1131.75, "end": 1132.01, "word": " عشرة،", "probability": 0.5864715576171875}, {"start": 1132.01, "end": 1132.25, "word": " لأن", "probability": 0.6123046875}, {"start": 1132.25, "end": 1132.87, "word": " عشرين", "probability": 0.9013671875}, {"start": 1132.87, "end": 1133.55, "word": " و", "probability": 0.57763671875}, {"start": 1133.55, "end": 1134.19, "word": " تسعين", "probability": 0.9835205078125}, {"start": 1134.19, "end": 1134.69, "word": " يعني", "probability": 0.73876953125}, {"start": 1134.69, "end": 1134.93, "word": " مية", "probability": 0.6669921875}, {"start": 1134.93, "end": 1135.03, "word": " و", "probability": 0.9716796875}, {"start": 1135.03, "end": 1135.35, "word": " عشرة", "probability": 0.8798828125}, {"start": 1135.35, "end": 1135.77, "word": " سانتي،", "probability": 0.530548095703125}, {"start": 1135.77, "end": 1135.85, "word": " يعني", "probability": 0.89453125}, {"start": 1135.85, "end": 1136.99, "word": " متر", "probability": 0.80126953125}, {"start": 1136.99, "end": 1137.07, "word": " و", "probability": 0.99609375}, {"start": 1137.07, "end": 1137.37, "word": " عشرة", "probability": 0.8849283854166666}, {"start": 1137.37, "end": 1137.81, "word": " سانتي،", "probability": 0.8685302734375}, {"start": 1137.81, "end": 1138.05, "word": " مية", "probability": 0.6070556640625}, {"start": 1138.05, "end": 1138.15, "word": " و", "probability": 0.9970703125}, {"start": 1138.15, "end": 1138.45, "word": " عشرة", "probability": 0.9397786458333334}, {"start": 1138.45, "end": 1138.83, "word": " سانتي", "probability": 0.9425455729166666}, {"start": 1138.83, "end": 1139.05, "word": " يعني", "probability": 0.6397705078125}, {"start": 1139.05, "end": 1139.39, "word": " متر", "probability": 0.9443359375}, {"start": 1139.39, "end": 1139.45, "word": " و", "probability": 0.99560546875}, {"start": 1139.45, "end": 1139.73, "word": " عشرة", "probability": 0.9249674479166666}, {"start": 1139.73, "end": 1140.57, "word": " سانتي،", "probability": 0.9288330078125}, {"start": 1140.57, "end": 1140.97, "word": " بنضيف", "probability": 0.8922526041666666}, {"start": 1140.97, "end": 1141.29, "word": " عليهم", "probability": 0.955078125}, {"start": 1141.29, "end": 1141.77, "word": " مترين،", "probability": 0.8961181640625}, {"start": 1141.77, "end": 1141.89, "word": " يعني", "probability": 0.93994140625}, {"start": 1141.89, "end": 1142.57, "word": " حقيقة", "probability": 0.9029947916666666}, {"start": 1142.57, "end": 1143.71, "word": " القطع", "probability": 0.7250162760416666}, {"start": 1143.71, "end": 1144.97, "word": " قطع", "probability": 0.823486328125}], "temperature": 1.0}, {"id": 50, "seek": 116470, "start": 1146.2, "end": 1164.7, "text": "3 meters and 10 centimeters. Okay, if we assume that the light did not go into the water or into the glass, but remained in the air, in the same period of time that it passed two meters in the air and 90 centimeters in the water and 20 centimeters in the glass, how much did it pass in the air in the same period of time?", "tokens": [18, 8146, 293, 1266, 23300, 13, 1033, 11, 498, 321, 6552, 300, 264, 1442, 630, 406, 352, 666, 264, 1281, 420, 666, 264, 4276, 11, 457, 12780, 294, 264, 1988, 11, 294, 264, 912, 2896, 295, 565, 300, 309, 4678, 732, 8146, 294, 264, 1988, 293, 4289, 23300, 294, 264, 1281, 293, 945, 23300, 294, 264, 4276, 11, 577, 709, 630, 309, 1320, 294, 264, 1988, 294, 264, 912, 2896, 295, 565, 30], "avg_logprob": -0.47381755347187454, "compression_ratio": 1.9454545454545455, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 1146.2, "end": 1146.68, "word": "3", "probability": 0.7138671875}, {"start": 1146.68, "end": 1147.02, "word": " meters", "probability": 0.36181640625}, {"start": 1147.02, "end": 1147.16, "word": " and", "probability": 0.82080078125}, {"start": 1147.16, "end": 1147.34, "word": " 10", "probability": 0.845703125}, {"start": 1147.34, "end": 1147.82, "word": " centimeters.", "probability": 0.71044921875}, {"start": 1148.18, "end": 1148.34, "word": " Okay,", "probability": 0.1746826171875}, {"start": 1148.6, "end": 1148.76, "word": " if", "probability": 0.5478515625}, {"start": 1148.76, "end": 1149.14, "word": " we", "probability": 0.90869140625}, {"start": 1149.14, "end": 1149.14, "word": " assume", "probability": 0.279052734375}, {"start": 1149.14, "end": 1149.64, "word": " that", "probability": 0.33642578125}, {"start": 1149.64, "end": 1149.76, "word": " the", "probability": 0.61328125}, {"start": 1149.76, "end": 1149.94, "word": " light", "probability": 0.276123046875}, {"start": 1149.94, "end": 1150.08, "word": " did", "probability": 0.364990234375}, {"start": 1150.08, "end": 1150.14, "word": " not", "probability": 0.9365234375}, {"start": 1150.14, "end": 1150.36, "word": " go", "probability": 0.257080078125}, {"start": 1150.36, "end": 1150.52, "word": " into", "probability": 0.462646484375}, {"start": 1150.52, "end": 1150.56, "word": " the", "probability": 0.38818359375}, {"start": 1150.56, "end": 1150.76, "word": " water", "probability": 0.73046875}, {"start": 1150.76, "end": 1151.32, "word": " or", "probability": 0.40380859375}, {"start": 1151.32, "end": 1151.68, "word": " into", "probability": 0.2408447265625}, {"start": 1151.68, "end": 1152.02, "word": " the", "probability": 0.8056640625}, {"start": 1152.02, "end": 1152.28, "word": " glass,", "probability": 0.767578125}, {"start": 1152.5, "end": 1152.68, "word": " but", "probability": 0.8388671875}, {"start": 1152.68, "end": 1152.98, "word": " remained", "probability": 0.423583984375}, {"start": 1152.98, "end": 1153.12, "word": " in", "probability": 0.9189453125}, {"start": 1153.12, "end": 1153.22, "word": " the", "probability": 0.8955078125}, {"start": 1153.22, "end": 1153.4, "word": " air,", "probability": 0.91357421875}, {"start": 1153.7, "end": 1154.06, "word": " in", "probability": 0.376708984375}, {"start": 1154.06, "end": 1154.46, "word": " the", "probability": 0.923828125}, {"start": 1154.46, "end": 1154.46, "word": " same", "probability": 0.90185546875}, {"start": 1154.46, "end": 1154.92, "word": " period", "probability": 0.72119140625}, {"start": 1154.92, "end": 1154.98, "word": " of", "probability": 0.7568359375}, {"start": 1154.98, "end": 1155.32, "word": " time", "probability": 0.8974609375}, {"start": 1155.32, "end": 1155.7, "word": " that", "probability": 0.371826171875}, {"start": 1155.7, "end": 1155.78, "word": " it", "probability": 0.327880859375}, {"start": 1155.78, "end": 1155.98, "word": " passed", "probability": 0.1727294921875}, {"start": 1155.98, "end": 1156.3, "word": " two", "probability": 0.425048828125}, {"start": 1156.3, "end": 1156.62, "word": " meters", "probability": 0.94775390625}, {"start": 1156.62, "end": 1156.84, "word": " in", "probability": 0.8759765625}, {"start": 1156.84, "end": 1156.96, "word": " the", "probability": 0.85888671875}, {"start": 1156.96, "end": 1157.2, "word": " air", "probability": 0.89990234375}, {"start": 1157.2, "end": 1157.34, "word": " and", "probability": 0.66455078125}, {"start": 1157.34, "end": 1157.72, "word": " 90", "probability": 0.6611328125}, {"start": 1157.72, "end": 1158.06, "word": " centimeters", "probability": 0.84326171875}, {"start": 1158.06, "end": 1158.26, "word": " in", "probability": 0.93701171875}, {"start": 1158.26, "end": 1158.32, "word": " the", "probability": 0.533203125}, {"start": 1158.32, "end": 1158.58, "word": " water", "probability": 0.85205078125}, {"start": 1158.58, "end": 1159.1, "word": " and", "probability": 0.7900390625}, {"start": 1159.1, "end": 1159.58, "word": " 20", "probability": 0.85009765625}, {"start": 1159.58, "end": 1160.12, "word": " centimeters", "probability": 0.8857421875}, {"start": 1160.12, "end": 1160.6, "word": " in", "probability": 0.9326171875}, {"start": 1160.6, "end": 1160.96, "word": " the", "probability": 0.7421875}, {"start": 1160.96, "end": 1161.38, "word": " glass,", "probability": 0.8271484375}, {"start": 1161.8, "end": 1162.24, "word": " how", "probability": 0.6982421875}, {"start": 1162.24, "end": 1162.44, "word": " much", "probability": 0.58251953125}, {"start": 1162.44, "end": 1162.44, "word": " did", "probability": 0.51953125}, {"start": 1162.44, "end": 1162.56, "word": " it", "probability": 0.88818359375}, {"start": 1162.56, "end": 1162.76, "word": " pass", "probability": 0.7607421875}, {"start": 1162.76, "end": 1162.94, "word": " in", "probability": 0.83837890625}, {"start": 1162.94, "end": 1163.02, "word": " the", "probability": 0.86474609375}, {"start": 1163.02, "end": 1163.18, "word": " air", "probability": 0.90234375}, {"start": 1163.18, "end": 1163.34, "word": " in", "probability": 0.4619140625}, {"start": 1163.34, "end": 1163.64, "word": " the", "probability": 0.92041015625}, {"start": 1163.64, "end": 1163.64, "word": " same", "probability": 0.9140625}, {"start": 1163.64, "end": 1163.98, "word": " period", "probability": 0.8896484375}, {"start": 1163.98, "end": 1164.54, "word": " of", "probability": 0.9052734375}, {"start": 1164.54, "end": 1164.7, "word": " time?", "probability": 0.89599609375}], "temperature": 1.0}, {"id": 51, "seek": 119201, "start": 1165.11, "end": 1192.01, "text": "In order to know, we need to unify the media. To unify the media, we multiply each distance in the refractive index of the material that has this distance. We say the optical path length is the answer. The solution of this example is to say that the optical path length is equal to two meters multiplied by one because the refractive index is one plus", "tokens": [4575, 1668, 281, 458, 11, 321, 643, 281, 517, 2505, 264, 3021, 13, 1407, 517, 2505, 264, 3021, 11, 321, 12972, 1184, 4560, 294, 264, 45353, 488, 8186, 295, 264, 2527, 300, 575, 341, 4560, 13, 492, 584, 264, 20674, 3100, 4641, 307, 264, 1867, 13, 440, 3827, 295, 341, 1365, 307, 281, 584, 300, 264, 20674, 3100, 4641, 307, 2681, 281, 732, 8146, 17207, 538, 472, 570, 264, 45353, 488, 8186, 307, 472, 1804], "avg_logprob": -0.48643092771894053, "compression_ratio": 1.8186528497409327, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 1165.11, "end": 1165.29, "word": "In", "probability": 0.0732421875}, {"start": 1165.29, "end": 1165.65, "word": " order", "probability": 0.873046875}, {"start": 1165.65, "end": 1165.83, "word": " to", "probability": 0.96728515625}, {"start": 1165.83, "end": 1166.15, "word": " know,", "probability": 0.474853515625}, {"start": 1166.31, "end": 1166.39, "word": " we", "probability": 0.7578125}, {"start": 1166.39, "end": 1166.61, "word": " need", "probability": 0.3994140625}, {"start": 1166.61, "end": 1166.85, "word": " to", "probability": 0.95556640625}, {"start": 1166.85, "end": 1167.05, "word": " unify", "probability": 0.6331787109375}, {"start": 1167.05, "end": 1167.31, "word": " the", "probability": 0.63330078125}, {"start": 1167.31, "end": 1167.53, "word": " media.", "probability": 0.830078125}, {"start": 1167.59, "end": 1167.71, "word": " To", "probability": 0.59326171875}, {"start": 1167.71, "end": 1167.95, "word": " unify", "probability": 0.85400390625}, {"start": 1167.95, "end": 1168.21, "word": " the", "probability": 0.81396484375}, {"start": 1168.21, "end": 1168.43, "word": " media,", "probability": 0.8876953125}, {"start": 1168.61, "end": 1168.69, "word": " we", "probability": 0.451416015625}, {"start": 1168.69, "end": 1168.97, "word": " multiply", "probability": 0.67041015625}, {"start": 1168.97, "end": 1169.29, "word": " each", "probability": 0.626953125}, {"start": 1169.29, "end": 1169.73, "word": " distance", "probability": 0.681640625}, {"start": 1169.73, "end": 1169.91, "word": " in", "probability": 0.495361328125}, {"start": 1169.91, "end": 1170.01, "word": " the", "probability": 0.7041015625}, {"start": 1170.01, "end": 1170.63, "word": " refractive", "probability": 0.9736328125}, {"start": 1170.63, "end": 1171.05, "word": " index", "probability": 0.919921875}, {"start": 1171.05, "end": 1171.29, "word": " of", "probability": 0.83740234375}, {"start": 1171.29, "end": 1171.45, "word": " the", "probability": 0.83740234375}, {"start": 1171.45, "end": 1171.69, "word": " material", "probability": 0.324951171875}, {"start": 1171.69, "end": 1172.21, "word": " that", "probability": 0.3701171875}, {"start": 1172.21, "end": 1172.39, "word": " has", "probability": 0.082275390625}, {"start": 1172.39, "end": 1173.03, "word": " this", "probability": 0.234619140625}, {"start": 1173.03, "end": 1173.71, "word": " distance.", "probability": 0.91162109375}, {"start": 1173.87, "end": 1174.23, "word": " We", "probability": 0.57470703125}, {"start": 1174.23, "end": 1174.45, "word": " say", "probability": 0.580078125}, {"start": 1174.45, "end": 1174.61, "word": " the", "probability": 0.45703125}, {"start": 1174.61, "end": 1175.03, "word": " optical", "probability": 0.446533203125}, {"start": 1175.03, "end": 1175.45, "word": " path", "probability": 0.92236328125}, {"start": 1175.45, "end": 1175.79, "word": " length", "probability": 0.8408203125}, {"start": 1175.79, "end": 1175.97, "word": " is", "probability": 0.411865234375}, {"start": 1175.97, "end": 1176.07, "word": " the", "probability": 0.58349609375}, {"start": 1176.07, "end": 1176.33, "word": " answer.", "probability": 0.8720703125}, {"start": 1179.17, "end": 1179.65, "word": " The", "probability": 0.7060546875}, {"start": 1179.65, "end": 1179.91, "word": " solution", "probability": 0.662109375}, {"start": 1179.91, "end": 1180.09, "word": " of", "probability": 0.42529296875}, {"start": 1180.09, "end": 1180.33, "word": " this", "probability": 0.92138671875}, {"start": 1180.33, "end": 1180.67, "word": " example", "probability": 0.53125}, {"start": 1180.67, "end": 1180.89, "word": " is", "probability": 0.68603515625}, {"start": 1180.89, "end": 1180.91, "word": " to", "probability": 0.18359375}, {"start": 1180.91, "end": 1181.09, "word": " say", "probability": 0.923828125}, {"start": 1181.09, "end": 1181.21, "word": " that", "probability": 0.66845703125}, {"start": 1181.21, "end": 1181.27, "word": " the", "probability": 0.84033203125}, {"start": 1181.27, "end": 1181.57, "word": " optical", "probability": 0.86474609375}, {"start": 1181.57, "end": 1181.97, "word": " path", "probability": 0.95458984375}, {"start": 1181.97, "end": 1182.35, "word": " length", "probability": 0.86328125}, {"start": 1182.35, "end": 1182.53, "word": " is", "probability": 0.65087890625}, {"start": 1182.53, "end": 1182.81, "word": " equal", "probability": 0.82177734375}, {"start": 1182.81, "end": 1184.79, "word": " to", "probability": 0.91796875}, {"start": 1184.79, "end": 1185.07, "word": " two", "probability": 0.267578125}, {"start": 1185.07, "end": 1185.55, "word": " meters", "probability": 0.908203125}, {"start": 1185.55, "end": 1187.55, "word": " multiplied", "probability": 0.52685546875}, {"start": 1187.55, "end": 1187.67, "word": " by", "probability": 0.96240234375}, {"start": 1187.67, "end": 1188.05, "word": " one", "probability": 0.9208984375}, {"start": 1188.05, "end": 1189.41, "word": " because", "probability": 0.365234375}, {"start": 1189.41, "end": 1189.61, "word": " the", "probability": 0.73193359375}, {"start": 1189.61, "end": 1190.11, "word": " refractive", "probability": 0.96240234375}, {"start": 1190.11, "end": 1190.55, "word": " index", "probability": 0.89990234375}, {"start": 1190.55, "end": 1190.67, "word": " is", "probability": 0.875}, {"start": 1190.67, "end": 1191.05, "word": " one", "probability": 0.84814453125}, {"start": 1191.05, "end": 1192.01, "word": " plus", "probability": 0.7041015625}], "temperature": 1.0}, {"id": 52, "seek": 121760, "start": 1195.31, "end": 1217.61, "text": "90 cm means 9 out of 10 meters, 0.9 times, this is in the water of course, so to change its path to the water, as if it happened in the air, I need to say times 1.3 out of 10 plus, let's move away from the plus a little bit", "tokens": [7771, 14668, 1355, 1722, 484, 295, 1266, 8146, 11, 1958, 13, 24, 1413, 11, 341, 307, 294, 264, 1281, 295, 1164, 11, 370, 281, 1319, 1080, 3100, 281, 264, 1281, 11, 382, 498, 309, 2011, 294, 264, 1988, 11, 286, 643, 281, 584, 1413, 502, 13, 18, 484, 295, 1266, 1804, 11, 718, 311, 1286, 1314, 490, 264, 1804, 257, 707, 857], "avg_logprob": -0.6006944728276086, "compression_ratio": 1.4768211920529801, "no_speech_prob": 1.9073486328125e-06, "words": [{"start": 1195.31, "end": 1195.77, "word": "90", "probability": 0.73388671875}, {"start": 1195.77, "end": 1196.15, "word": " cm", "probability": 0.409423828125}, {"start": 1196.15, "end": 1196.33, "word": " means", "probability": 0.1529541015625}, {"start": 1196.33, "end": 1196.67, "word": " 9", "probability": 0.85693359375}, {"start": 1196.67, "end": 1196.87, "word": " out", "probability": 0.2099609375}, {"start": 1196.87, "end": 1196.87, "word": " of", "probability": 0.94970703125}, {"start": 1196.87, "end": 1197.17, "word": " 10", "probability": 0.943359375}, {"start": 1197.17, "end": 1197.71, "word": " meters,", "probability": 0.65234375}, {"start": 1199.47, "end": 1200.31, "word": " 0", "probability": 0.380859375}, {"start": 1200.31, "end": 1201.21, "word": ".9", "probability": 0.96533203125}, {"start": 1201.21, "end": 1203.51, "word": " times,", "probability": 0.2548828125}, {"start": 1203.75, "end": 1204.31, "word": " this", "probability": 0.429931640625}, {"start": 1204.31, "end": 1204.35, "word": " is", "probability": 0.7001953125}, {"start": 1204.35, "end": 1204.47, "word": " in", "probability": 0.53076171875}, {"start": 1204.47, "end": 1204.53, "word": " the", "probability": 0.320068359375}, {"start": 1204.53, "end": 1204.69, "word": " water", "probability": 0.82421875}, {"start": 1204.69, "end": 1204.95, "word": " of", "probability": 0.147216796875}, {"start": 1204.95, "end": 1205.03, "word": " course,", "probability": 0.9541015625}, {"start": 1205.27, "end": 1205.41, "word": " so", "probability": 0.63232421875}, {"start": 1205.41, "end": 1205.79, "word": " to", "probability": 0.57568359375}, {"start": 1205.79, "end": 1206.41, "word": " change", "probability": 0.43994140625}, {"start": 1206.41, "end": 1206.71, "word": " its", "probability": 0.402587890625}, {"start": 1206.71, "end": 1207.07, "word": " path", "probability": 0.404541015625}, {"start": 1207.07, "end": 1207.31, "word": " to", "probability": 0.44189453125}, {"start": 1207.31, "end": 1207.49, "word": " the", "probability": 0.495361328125}, {"start": 1207.49, "end": 1207.81, "word": " water,", "probability": 0.7041015625}, {"start": 1208.27, "end": 1208.45, "word": " as", "probability": 0.53515625}, {"start": 1208.45, "end": 1208.71, "word": " if", "probability": 0.8251953125}, {"start": 1208.71, "end": 1208.87, "word": " it", "probability": 0.7529296875}, {"start": 1208.87, "end": 1208.99, "word": " happened", "probability": 0.306640625}, {"start": 1208.99, "end": 1209.11, "word": " in", "probability": 0.90966796875}, {"start": 1209.11, "end": 1209.21, "word": " the", "probability": 0.87060546875}, {"start": 1209.21, "end": 1209.41, "word": " air,", "probability": 0.90087890625}, {"start": 1209.53, "end": 1209.67, "word": " I", "probability": 0.57666015625}, {"start": 1209.67, "end": 1209.67, "word": " need", "probability": 0.2376708984375}, {"start": 1209.67, "end": 1209.89, "word": " to", "probability": 0.95654296875}, {"start": 1209.89, "end": 1209.89, "word": " say", "probability": 0.814453125}, {"start": 1209.89, "end": 1210.15, "word": " times", "probability": 0.3515625}, {"start": 1210.15, "end": 1210.43, "word": " 1", "probability": 0.70166015625}, {"start": 1210.43, "end": 1210.93, "word": ".3", "probability": 0.7734375}, {"start": 1210.93, "end": 1211.11, "word": " out", "probability": 0.362548828125}, {"start": 1211.11, "end": 1211.15, "word": " of", "probability": 0.9716796875}, {"start": 1211.15, "end": 1211.43, "word": " 10", "probability": 0.95703125}, {"start": 1211.43, "end": 1213.95, "word": " plus,", "probability": 0.51611328125}, {"start": 1216.19, "end": 1216.61, "word": " let's", "probability": 0.865234375}, {"start": 1216.61, "end": 1216.79, "word": " move", "probability": 0.4716796875}, {"start": 1216.79, "end": 1216.85, "word": " away", "probability": 0.459716796875}, {"start": 1216.85, "end": 1216.95, "word": " from", "probability": 0.491455078125}, {"start": 1216.95, "end": 1217.01, "word": " the", "probability": 0.444580078125}, {"start": 1217.01, "end": 1217.13, "word": " plus", "probability": 0.84326171875}, {"start": 1217.13, "end": 1217.33, "word": " a", "probability": 0.57861328125}, {"start": 1217.33, "end": 1217.43, "word": " little", "probability": 0.66943359375}, {"start": 1217.43, "end": 1217.61, "word": " bit", "probability": 0.701171875}], "temperature": 1.0}, {"id": 53, "seek": 124845, "start": 1220.75, "end": 1248.45, "text": "in water 20 cm means 2 out of 10 meters multiply by 1.5 equals we say as follows 2 meters in 1 remains 2 meters plus 9 out of 10 meters here", "tokens": [259, 1281, 945, 14668, 1355, 568, 484, 295, 1266, 8146, 12972, 538, 502, 13, 20, 6915, 321, 584, 382, 10002, 568, 8146, 294, 502, 7023, 568, 8146, 1804, 1722, 484, 295, 1266, 8146, 510], "avg_logprob": -0.5816964115415301, "compression_ratio": 1.386138613861386, "no_speech_prob": 4.351139068603516e-06, "words": [{"start": 1220.75, "end": 1221.47, "word": "in", "probability": 0.11456298828125}, {"start": 1221.47, "end": 1221.79, "word": " water", "probability": 0.343505859375}, {"start": 1221.79, "end": 1222.15, "word": " 20", "probability": 0.54345703125}, {"start": 1222.15, "end": 1222.55, "word": " cm", "probability": 0.442626953125}, {"start": 1222.55, "end": 1222.75, "word": " means", "probability": 0.1995849609375}, {"start": 1222.75, "end": 1223.15, "word": " 2", "probability": 0.76416015625}, {"start": 1223.15, "end": 1223.37, "word": " out", "probability": 0.31201171875}, {"start": 1223.37, "end": 1223.37, "word": " of", "probability": 0.9404296875}, {"start": 1223.37, "end": 1223.71, "word": " 10", "probability": 0.9365234375}, {"start": 1223.71, "end": 1224.17, "word": " meters", "probability": 0.417724609375}, {"start": 1224.17, "end": 1225.01, "word": " multiply", "probability": 0.301025390625}, {"start": 1225.01, "end": 1225.13, "word": " by", "probability": 0.509765625}, {"start": 1225.13, "end": 1225.29, "word": " 1", "probability": 0.70703125}, {"start": 1225.29, "end": 1225.77, "word": ".5", "probability": 0.90869140625}, {"start": 1225.77, "end": 1231.07, "word": " equals", "probability": 0.324951171875}, {"start": 1231.07, "end": 1239.51, "word": " we", "probability": 0.255615234375}, {"start": 1239.51, "end": 1239.81, "word": " say", "probability": 0.74072265625}, {"start": 1239.81, "end": 1239.99, "word": " as", "probability": 0.59326171875}, {"start": 1239.99, "end": 1240.41, "word": " follows", "probability": 0.5517578125}, {"start": 1240.41, "end": 1241.53, "word": " 2", "probability": 0.60791015625}, {"start": 1241.53, "end": 1241.87, "word": " meters", "probability": 0.61474609375}, {"start": 1241.87, "end": 1242.05, "word": " in", "probability": 0.50390625}, {"start": 1242.05, "end": 1243.15, "word": " 1", "probability": 0.40380859375}, {"start": 1243.15, "end": 1243.43, "word": " remains", "probability": 0.30810546875}, {"start": 1243.43, "end": 1243.89, "word": " 2", "probability": 0.85498046875}, {"start": 1243.89, "end": 1244.67, "word": " meters", "probability": 0.81689453125}, {"start": 1244.67, "end": 1245.65, "word": " plus", "probability": 0.61328125}, {"start": 1245.65, "end": 1247.69, "word": " 9", "probability": 0.92431640625}, {"start": 1247.69, "end": 1247.91, "word": " out", "probability": 0.73193359375}, {"start": 1247.91, "end": 1247.91, "word": " of", "probability": 0.96826171875}, {"start": 1247.91, "end": 1248.19, "word": " 10", "probability": 0.9658203125}, {"start": 1248.19, "end": 1248.35, "word": " meters", "probability": 0.63037109375}, {"start": 1248.35, "end": 1248.45, "word": " here", "probability": 0.69873046875}], "temperature": 1.0}, {"id": 54, "seek": 127890, "start": 1252.44, "end": 1278.9, "text": "and here 2 out of 10 meters 2 out of 10 meters 2 meters multiplied by 1 remains 2 meters plus 9 out of 10 multiplied by 1.3 out of 10 9 out of 10 meters multiplied by 1.3 so one meter and seventeen out of 100 meters and seventeen out of 100", "tokens": [474, 510, 568, 484, 295, 1266, 8146, 568, 484, 295, 1266, 8146, 568, 8146, 17207, 538, 502, 7023, 568, 8146, 1804, 1722, 484, 295, 1266, 17207, 538, 502, 13, 18, 484, 295, 1266, 1722, 484, 295, 1266, 8146, 17207, 538, 502, 13, 18, 370, 472, 9255, 293, 39532, 484, 295, 2319, 8146, 293, 39532, 484, 295, 2319], "avg_logprob": -0.4105603309540913, "compression_ratio": 2.3076923076923075, "no_speech_prob": 2.384185791015625e-06, "words": [{"start": 1252.44, "end": 1252.64, "word": "and", "probability": 0.08154296875}, {"start": 1252.64, "end": 1252.74, "word": " here", "probability": 0.75439453125}, {"start": 1252.74, "end": 1252.96, "word": " 2", "probability": 0.44677734375}, {"start": 1252.96, "end": 1253.18, "word": " out", "probability": 0.27783203125}, {"start": 1253.18, "end": 1253.18, "word": " of", "probability": 0.96337890625}, {"start": 1253.18, "end": 1253.48, "word": " 10", "probability": 0.9453125}, {"start": 1253.48, "end": 1254.06, "word": " meters", "probability": 0.2320556640625}, {"start": 1254.06, "end": 1256.4, "word": " 2", "probability": 0.43505859375}, {"start": 1256.4, "end": 1256.62, "word": " out", "probability": 0.556640625}, {"start": 1256.62, "end": 1256.62, "word": " of", "probability": 0.9736328125}, {"start": 1256.62, "end": 1256.88, "word": " 10", "probability": 0.9599609375}, {"start": 1256.88, "end": 1257.26, "word": " meters", "probability": 0.89599609375}, {"start": 1257.26, "end": 1257.96, "word": " 2", "probability": 0.322998046875}, {"start": 1257.96, "end": 1258.34, "word": " meters", "probability": 0.72998046875}, {"start": 1258.34, "end": 1258.48, "word": " multiplied", "probability": 0.327880859375}, {"start": 1258.48, "end": 1258.5, "word": " by", "probability": 0.9521484375}, {"start": 1258.5, "end": 1258.76, "word": " 1", "probability": 0.8515625}, {"start": 1258.76, "end": 1259.02, "word": " remains", "probability": 0.2415771484375}, {"start": 1259.02, "end": 1259.32, "word": " 2", "probability": 0.8759765625}, {"start": 1259.32, "end": 1259.7, "word": " meters", "probability": 0.9189453125}, {"start": 1259.7, "end": 1260.02, "word": " plus", "probability": 0.445068359375}, {"start": 1260.02, "end": 1260.44, "word": " 9", "probability": 0.97705078125}, {"start": 1260.44, "end": 1260.7, "word": " out", "probability": 0.841796875}, {"start": 1260.7, "end": 1260.7, "word": " of", "probability": 0.97119140625}, {"start": 1260.7, "end": 1261.08, "word": " 10", "probability": 0.9716796875}, {"start": 1261.08, "end": 1261.62, "word": " multiplied", "probability": 0.57177734375}, {"start": 1261.62, "end": 1261.64, "word": " by", "probability": 0.9794921875}, {"start": 1261.64, "end": 1261.9, "word": " 1", "probability": 0.89697265625}, {"start": 1261.9, "end": 1262.36, "word": ".3", "probability": 0.780517578125}, {"start": 1262.36, "end": 1262.56, "word": " out", "probability": 0.67041015625}, {"start": 1262.56, "end": 1262.56, "word": " of", "probability": 0.9755859375}, {"start": 1262.56, "end": 1262.98, "word": " 10", "probability": 0.9736328125}, {"start": 1262.98, "end": 1264.26, "word": " 9", "probability": 0.7431640625}, {"start": 1264.26, "end": 1264.48, "word": " out", "probability": 0.77197265625}, {"start": 1264.48, "end": 1264.52, "word": " of", "probability": 0.97216796875}, {"start": 1264.52, "end": 1265.0, "word": " 10", "probability": 0.9697265625}, {"start": 1265.0, "end": 1267.02, "word": " meters", "probability": 0.7255859375}, {"start": 1267.02, "end": 1268.12, "word": " multiplied", "probability": 0.36962890625}, {"start": 1268.12, "end": 1269.0, "word": " by", "probability": 0.93798828125}, {"start": 1269.0, "end": 1270.5, "word": " 1", "probability": 0.958984375}, {"start": 1270.5, "end": 1273.16, "word": ".3", "probability": 0.92919921875}, {"start": 1273.16, "end": 1275.4, "word": " so", "probability": 0.25634765625}, {"start": 1275.4, "end": 1275.66, "word": " one", "probability": 0.467041015625}, {"start": 1275.66, "end": 1275.84, "word": " meter", "probability": 0.84033203125}, {"start": 1275.84, "end": 1275.96, "word": " and", "probability": 0.82421875}, {"start": 1275.96, "end": 1276.32, "word": " seventeen", "probability": 0.67431640625}, {"start": 1276.32, "end": 1276.84, "word": " out", "probability": 0.32421875}, {"start": 1276.84, "end": 1276.84, "word": " of", "probability": 0.97705078125}, {"start": 1276.84, "end": 1277.04, "word": " 100", "probability": 0.37548828125}, {"start": 1277.04, "end": 1277.36, "word": " meters", "probability": 0.7265625}, {"start": 1277.36, "end": 1277.6, "word": " and", "probability": 0.884765625}, {"start": 1277.6, "end": 1277.96, "word": " seventeen", "probability": 0.75634765625}, {"start": 1277.96, "end": 1278.6, "word": " out", "probability": 0.82373046875}, {"start": 1278.6, "end": 1278.6, "word": " of", "probability": 0.97509765625}, {"start": 1278.6, "end": 1278.9, "word": " 100", "probability": 0.6220703125}], "temperature": 1.0}, {"id": 55, "seek": 129734, "start": 1281.13, "end": 1297.35, "text": "one point seventeen hundred meters plus two out of ten times one and a half two out of ten times one and a half equals", "tokens": [546, 935, 39532, 3262, 8146, 1804, 732, 484, 295, 2064, 1413, 472, 293, 257, 1922, 732, 484, 295, 2064, 1413, 472, 293, 257, 1922, 6915], "avg_logprob": -0.35787259156887347, "compression_ratio": 1.5945945945945945, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 1281.1299999999999, "end": 1281.77, "word": "one", "probability": 0.30810546875}, {"start": 1281.77, "end": 1282.41, "word": " point", "probability": 0.9677734375}, {"start": 1282.41, "end": 1283.43, "word": " seventeen", "probability": 0.8310546875}, {"start": 1283.43, "end": 1283.79, "word": " hundred", "probability": 0.234375}, {"start": 1283.79, "end": 1284.85, "word": " meters", "probability": 0.65771484375}, {"start": 1284.85, "end": 1286.57, "word": " plus", "probability": 0.63720703125}, {"start": 1286.57, "end": 1291.57, "word": " two", "probability": 0.775390625}, {"start": 1291.57, "end": 1291.83, "word": " out", "probability": 0.41064453125}, {"start": 1291.83, "end": 1291.83, "word": " of", "probability": 0.97265625}, {"start": 1291.83, "end": 1292.13, "word": " ten", "probability": 0.91552734375}, {"start": 1292.13, "end": 1292.41, "word": " times", "probability": 0.373779296875}, {"start": 1292.41, "end": 1292.83, "word": " one", "probability": 0.94384765625}, {"start": 1292.83, "end": 1293.15, "word": " and", "probability": 0.546875}, {"start": 1293.15, "end": 1293.33, "word": " a", "probability": 0.83203125}, {"start": 1293.33, "end": 1293.39, "word": " half", "probability": 0.87255859375}, {"start": 1293.39, "end": 1294.21, "word": " two", "probability": 0.391357421875}, {"start": 1294.21, "end": 1294.45, "word": " out", "probability": 0.85205078125}, {"start": 1294.45, "end": 1294.45, "word": " of", "probability": 0.97607421875}, {"start": 1294.45, "end": 1294.77, "word": " ten", "probability": 0.92724609375}, {"start": 1294.77, "end": 1294.97, "word": " times", "probability": 0.89404296875}, {"start": 1294.97, "end": 1295.23, "word": " one", "probability": 0.9375}, {"start": 1295.23, "end": 1295.49, "word": " and", "probability": 0.93994140625}, {"start": 1295.49, "end": 1295.71, "word": " a", "probability": 0.95947265625}, {"start": 1295.71, "end": 1297.07, "word": " half", "probability": 0.857421875}, {"start": 1297.07, "end": 1297.35, "word": " equals", "probability": 0.47900390625}], "temperature": 1.0}, {"id": 56, "seek": 133601, "start": 1310.71, "end": 1336.01, "text": "3 out of 10, 3 out of 10 meters and it equals we want to combine these with each other the sum we say as follows 2,1,3 point", "tokens": [18, 484, 295, 1266, 11, 805, 484, 295, 1266, 8146, 293, 309, 6915, 321, 528, 281, 10432, 613, 365, 1184, 661, 264, 2408, 321, 584, 382, 10002, 568, 11, 16, 11, 18, 935], "avg_logprob": -0.6792279587072485, "compression_ratio": 1.2525252525252526, "no_speech_prob": 1.7285346984863281e-06, "words": [{"start": 1310.71, "end": 1311.19, "word": "3", "probability": 0.136474609375}, {"start": 1311.19, "end": 1311.81, "word": " out", "probability": 0.21826171875}, {"start": 1311.81, "end": 1311.81, "word": " of", "probability": 0.966796875}, {"start": 1311.81, "end": 1312.05, "word": " 10,", "probability": 0.9541015625}, {"start": 1312.09, "end": 1312.55, "word": " 3", "probability": 0.61865234375}, {"start": 1312.55, "end": 1313.33, "word": " out", "probability": 0.72021484375}, {"start": 1313.33, "end": 1313.33, "word": " of", "probability": 0.9755859375}, {"start": 1313.33, "end": 1313.63, "word": " 10", "probability": 0.96875}, {"start": 1313.63, "end": 1314.21, "word": " meters", "probability": 0.3291015625}, {"start": 1314.21, "end": 1321.77, "word": " and", "probability": 0.2071533203125}, {"start": 1321.77, "end": 1321.93, "word": " it", "probability": 0.338134765625}, {"start": 1321.93, "end": 1322.31, "word": " equals", "probability": 0.537109375}, {"start": 1322.31, "end": 1328.33, "word": " we", "probability": 0.49755859375}, {"start": 1328.33, "end": 1328.53, "word": " want", "probability": 0.284912109375}, {"start": 1328.53, "end": 1328.69, "word": " to", "probability": 0.95947265625}, {"start": 1328.69, "end": 1328.83, "word": " combine", "probability": 0.22021484375}, {"start": 1328.83, "end": 1329.17, "word": " these", "probability": 0.54931640625}, {"start": 1329.17, "end": 1329.39, "word": " with", "probability": 0.318603515625}, {"start": 1329.39, "end": 1329.83, "word": " each", "probability": 0.9052734375}, {"start": 1329.83, "end": 1329.87, "word": " other", "probability": 0.8701171875}, {"start": 1329.87, "end": 1330.29, "word": " the", "probability": 0.2144775390625}, {"start": 1330.29, "end": 1330.59, "word": " sum", "probability": 0.50732421875}, {"start": 1330.59, "end": 1330.81, "word": " we", "probability": 0.291015625}, {"start": 1330.81, "end": 1330.99, "word": " say", "probability": 0.74267578125}, {"start": 1330.99, "end": 1331.17, "word": " as", "probability": 0.6689453125}, {"start": 1331.17, "end": 1331.57, "word": " follows", "probability": 0.6865234375}, {"start": 1331.57, "end": 1332.15, "word": " 2", "probability": 0.5830078125}, {"start": 1332.15, "end": 1332.77, "word": ",1", "probability": 0.4290771484375}, {"start": 1332.77, "end": 1333.39, "word": ",3", "probability": 0.959716796875}, {"start": 1333.39, "end": 1336.01, "word": " point", "probability": 0.57373046875}], "temperature": 1.0}, {"id": 57, "seek": 135163, "start": 1338.63, "end": 1351.63, "text": "seventeen out of one hundred and three out of ten to forty-seven out of one hundred. Forty-seven out of one hundred meters. This is the answer. It means in time, in time that light passed through it", "tokens": [405, 85, 29542, 484, 295, 472, 3262, 293, 1045, 484, 295, 2064, 281, 15815, 12, 44476, 484, 295, 472, 3262, 13, 11002, 88, 12, 44476, 484, 295, 472, 3262, 8146, 13, 639, 307, 264, 1867, 13, 467, 1355, 294, 565, 11, 294, 565, 300, 1442, 4678, 807, 309], "avg_logprob": -0.4661989893232073, "compression_ratio": 1.65, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 1338.6299999999999, "end": 1339.03, "word": "seventeen", "probability": 0.6702473958333334}, {"start": 1339.03, "end": 1339.31, "word": " out", "probability": 0.24560546875}, {"start": 1339.31, "end": 1339.31, "word": " of", "probability": 0.97802734375}, {"start": 1339.31, "end": 1339.45, "word": " one", "probability": 0.68310546875}, {"start": 1339.45, "end": 1339.61, "word": " hundred", "probability": 0.8994140625}, {"start": 1339.61, "end": 1340.13, "word": " and", "probability": 0.76806640625}, {"start": 1340.13, "end": 1340.79, "word": " three", "probability": 0.86328125}, {"start": 1340.79, "end": 1341.23, "word": " out", "probability": 0.54052734375}, {"start": 1341.23, "end": 1341.29, "word": " of", "probability": 0.974609375}, {"start": 1341.29, "end": 1341.63, "word": " ten", "probability": 0.86767578125}, {"start": 1341.63, "end": 1341.83, "word": " to", "probability": 0.461181640625}, {"start": 1341.83, "end": 1342.33, "word": " forty", "probability": 0.5673828125}, {"start": 1342.33, "end": 1342.55, "word": "-seven", "probability": 0.703125}, {"start": 1342.55, "end": 1342.71, "word": " out", "probability": 0.7998046875}, {"start": 1342.71, "end": 1342.71, "word": " of", "probability": 0.978515625}, {"start": 1342.71, "end": 1342.81, "word": " one", "probability": 0.85400390625}, {"start": 1342.81, "end": 1343.01, "word": " hundred.", "probability": 0.9462890625}, {"start": 1344.55, "end": 1344.95, "word": " Forty", "probability": 0.775146484375}, {"start": 1344.95, "end": 1344.95, "word": "-seven", "probability": 0.89697265625}, {"start": 1344.95, "end": 1345.15, "word": " out", "probability": 0.8818359375}, {"start": 1345.15, "end": 1345.15, "word": " of", "probability": 0.97900390625}, {"start": 1345.15, "end": 1345.23, "word": " one", "probability": 0.9111328125}, {"start": 1345.23, "end": 1345.41, "word": " hundred", "probability": 0.9326171875}, {"start": 1345.41, "end": 1345.73, "word": " meters.", "probability": 0.896484375}, {"start": 1345.79, "end": 1345.95, "word": " This", "probability": 0.495849609375}, {"start": 1345.95, "end": 1346.01, "word": " is", "probability": 0.900390625}, {"start": 1346.01, "end": 1346.07, "word": " the", "probability": 0.9130859375}, {"start": 1346.07, "end": 1346.27, "word": " answer.", "probability": 0.95751953125}, {"start": 1347.39, "end": 1347.79, "word": " It", "probability": 0.1246337890625}, {"start": 1347.79, "end": 1347.89, "word": " means", "probability": 0.8935546875}, {"start": 1347.89, "end": 1348.05, "word": " in", "probability": 0.56396484375}, {"start": 1348.05, "end": 1348.51, "word": " time,", "probability": 0.6181640625}, {"start": 1349.15, "end": 1349.31, "word": " in", "probability": 0.83740234375}, {"start": 1349.31, "end": 1349.81, "word": " time", "probability": 0.84033203125}, {"start": 1349.81, "end": 1350.91, "word": " that", "probability": 0.308349609375}, {"start": 1350.91, "end": 1351.09, "word": " light", "probability": 0.1318359375}, {"start": 1351.09, "end": 1351.23, "word": " passed", "probability": 0.1964111328125}, {"start": 1351.23, "end": 1351.45, "word": " through", "probability": 0.84619140625}, {"start": 1351.45, "end": 1351.63, "word": " it", "probability": 0.68896484375}], "temperature": 1.0}, {"id": 58, "seek": 138097, "start": 1352.73, "end": 1380.97, "text": "two meters in the air and ninety centimeters in the water and twenty centimeters in the glass in a full length of three meters and ten centimeters if they stayed in the air, if they stayed to light in the air, they would have crossed not three meters and ten centimeters, they would have crossed three meters and forty-seven centimeters this is the optical path length, this is the optical path length to light really crossed two meters, then ninety centimeters and then twenty centimeters in the glass, their total", "tokens": [20534, 8146, 294, 264, 1988, 293, 25063, 23300, 294, 264, 1281, 293, 7699, 23300, 294, 264, 4276, 294, 257, 1577, 4641, 295, 1045, 8146, 293, 2064, 23300, 498, 436, 9181, 294, 264, 1988, 11, 498, 436, 9181, 281, 1442, 294, 264, 1988, 11, 436, 576, 362, 14622, 406, 1045, 8146, 293, 2064, 23300, 11, 436, 576, 362, 14622, 1045, 8146, 293, 15815, 12, 44476, 23300, 341, 307, 264, 20674, 3100, 4641, 11, 341, 307, 264, 20674, 3100, 4641, 281, 1442, 534, 14622, 732, 8146, 11, 550, 25063, 23300, 293, 550, 7699, 23300, 294, 264, 4276, 11, 641, 3217], "avg_logprob": -0.34532828042001434, "compression_ratio": 2.814207650273224, "no_speech_prob": 1.8835067749023438e-05, "words": [{"start": 1352.73, "end": 1352.95, "word": "two", "probability": 0.451416015625}, {"start": 1352.95, "end": 1353.21, "word": " meters", "probability": 0.908203125}, {"start": 1353.21, "end": 1353.47, "word": " in", "probability": 0.82861328125}, {"start": 1353.47, "end": 1353.55, "word": " the", "probability": 0.70947265625}, {"start": 1353.55, "end": 1353.77, "word": " air", "probability": 0.880859375}, {"start": 1353.77, "end": 1354.41, "word": " and", "probability": 0.66796875}, {"start": 1354.41, "end": 1354.73, "word": " ninety", "probability": 0.72119140625}, {"start": 1354.73, "end": 1355.13, "word": " centimeters", "probability": 0.8134765625}, {"start": 1355.13, "end": 1355.31, "word": " in", "probability": 0.93017578125}, {"start": 1355.31, "end": 1355.41, "word": " the", "probability": 0.52197265625}, {"start": 1355.41, "end": 1356.11, "word": " water", "probability": 0.837890625}, {"start": 1356.11, "end": 1356.63, "word": " and", "probability": 0.7490234375}, {"start": 1356.63, "end": 1357.11, "word": " twenty", "probability": 0.794921875}, {"start": 1357.11, "end": 1357.67, "word": " centimeters", "probability": 0.9169921875}, {"start": 1357.67, "end": 1358.05, "word": " in", "probability": 0.93701171875}, {"start": 1358.05, "end": 1358.17, "word": " the", "probability": 0.7763671875}, {"start": 1358.17, "end": 1358.53, "word": " glass", "probability": 0.8330078125}, {"start": 1358.53, "end": 1358.99, "word": " in", "probability": 0.1456298828125}, {"start": 1358.99, "end": 1359.33, "word": " a", "probability": 0.38623046875}, {"start": 1359.33, "end": 1359.43, "word": " full", "probability": 0.357666015625}, {"start": 1359.43, "end": 1360.25, "word": " length", "probability": 0.7998046875}, {"start": 1360.25, "end": 1360.41, "word": " of", "probability": 0.8330078125}, {"start": 1360.41, "end": 1360.81, "word": " three", "probability": 0.93115234375}, {"start": 1360.81, "end": 1361.37, "word": " meters", "probability": 0.900390625}, {"start": 1361.37, "end": 1361.55, "word": " and", "probability": 0.90966796875}, {"start": 1361.55, "end": 1361.77, "word": " ten", "probability": 0.90869140625}, {"start": 1361.77, "end": 1362.37, "word": " centimeters", "probability": 0.8720703125}, {"start": 1362.37, "end": 1363.05, "word": " if", "probability": 0.6328125}, {"start": 1363.05, "end": 1363.45, "word": " they", "probability": 0.546875}, {"start": 1363.45, "end": 1363.45, "word": " stayed", "probability": 0.5927734375}, {"start": 1363.45, "end": 1363.59, "word": " in", "probability": 0.93212890625}, {"start": 1363.59, "end": 1363.71, "word": " the", "probability": 0.8984375}, {"start": 1363.71, "end": 1363.95, "word": " air,", "probability": 0.912109375}, {"start": 1364.31, "end": 1364.45, "word": " if", "probability": 0.90966796875}, {"start": 1364.45, "end": 1364.53, "word": " they", "probability": 0.7431640625}, {"start": 1364.53, "end": 1364.77, "word": " stayed", "probability": 0.7734375}, {"start": 1364.77, "end": 1364.91, "word": " to", "probability": 0.26123046875}, {"start": 1364.91, "end": 1365.01, "word": " light", "probability": 0.55908203125}, {"start": 1365.01, "end": 1365.17, "word": " in", "probability": 0.810546875}, {"start": 1365.17, "end": 1365.29, "word": " the", "probability": 0.896484375}, {"start": 1365.29, "end": 1365.47, "word": " air,", "probability": 0.9130859375}, {"start": 1365.71, "end": 1365.79, "word": " they", "probability": 0.407958984375}, {"start": 1365.79, "end": 1365.81, "word": " would", "probability": 0.7216796875}, {"start": 1365.81, "end": 1366.03, "word": " have", "probability": 0.404052734375}, {"start": 1366.03, "end": 1366.03, "word": " crossed", "probability": 0.3232421875}, {"start": 1366.03, "end": 1366.25, "word": " not", "probability": 0.646484375}, {"start": 1366.25, "end": 1366.63, "word": " three", "probability": 0.92431640625}, {"start": 1366.63, "end": 1366.89, "word": " meters", "probability": 0.94970703125}, {"start": 1366.89, "end": 1367.03, "word": " and", "probability": 0.9306640625}, {"start": 1367.03, "end": 1367.21, "word": " ten", "probability": 0.923828125}, {"start": 1367.21, "end": 1367.59, "word": " centimeters,", "probability": 0.91162109375}, {"start": 1367.71, "end": 1367.73, "word": " they", "probability": 0.560546875}, {"start": 1367.73, "end": 1367.87, "word": " would", "probability": 0.9140625}, {"start": 1367.87, "end": 1367.93, "word": " have", "probability": 0.9052734375}, {"start": 1367.93, "end": 1368.11, "word": " crossed", "probability": 0.75341796875}, {"start": 1368.11, "end": 1368.53, "word": " three", "probability": 0.9248046875}, {"start": 1368.53, "end": 1368.93, "word": " meters", "probability": 0.9453125}, {"start": 1368.93, "end": 1369.21, "word": " and", "probability": 0.9404296875}, {"start": 1369.21, "end": 1369.85, "word": " forty", "probability": 0.73388671875}, {"start": 1369.85, "end": 1370.17, "word": "-seven", "probability": 0.826904296875}, {"start": 1370.17, "end": 1370.77, "word": " centimeters", "probability": 0.94384765625}, {"start": 1370.77, "end": 1371.41, "word": " this", "probability": 0.394775390625}, {"start": 1371.41, "end": 1371.57, "word": " is", "probability": 0.953125}, {"start": 1371.57, "end": 1371.71, "word": " the", "probability": 0.822265625}, {"start": 1371.71, "end": 1372.11, "word": " optical", "probability": 0.9150390625}, {"start": 1372.11, "end": 1372.57, "word": " path", "probability": 0.92578125}, {"start": 1372.57, "end": 1372.91, "word": " length,", "probability": 0.8115234375}, {"start": 1373.25, "end": 1373.47, "word": " this", "probability": 0.869140625}, {"start": 1373.47, "end": 1373.53, "word": " is", "probability": 0.93505859375}, {"start": 1373.53, "end": 1373.61, "word": " the", "probability": 0.87109375}, {"start": 1373.61, "end": 1373.89, "word": " optical", "probability": 0.95849609375}, {"start": 1373.89, "end": 1374.29, "word": " path", "probability": 0.96728515625}, {"start": 1374.29, "end": 1374.57, "word": " length", "probability": 0.90234375}, {"start": 1374.57, "end": 1374.79, "word": " to", "probability": 0.27197265625}, {"start": 1374.79, "end": 1374.97, "word": " light", "probability": 0.55859375}, {"start": 1374.97, "end": 1375.51, "word": " really", "probability": 0.282470703125}, {"start": 1375.51, "end": 1375.81, "word": " crossed", "probability": 0.5205078125}, {"start": 1375.81, "end": 1375.97, "word": " two", "probability": 0.89892578125}, {"start": 1375.97, "end": 1376.27, "word": " meters,", "probability": 0.951171875}, {"start": 1376.63, "end": 1376.87, "word": " then", "probability": 0.71875}, {"start": 1376.87, "end": 1377.31, "word": " ninety", "probability": 0.8671875}, {"start": 1377.31, "end": 1377.79, "word": " centimeters", "probability": 0.9189453125}, {"start": 1377.79, "end": 1378.45, "word": " and", "probability": 0.6435546875}, {"start": 1378.45, "end": 1378.75, "word": " then", "probability": 0.84423828125}, {"start": 1378.75, "end": 1379.05, "word": " twenty", "probability": 0.8271484375}, {"start": 1379.05, "end": 1379.49, "word": " centimeters", "probability": 0.9130859375}, {"start": 1379.49, "end": 1379.69, "word": " in", "probability": 0.92578125}, {"start": 1379.69, "end": 1379.77, "word": " the", "probability": 0.8193359375}, {"start": 1379.77, "end": 1380.15, "word": " glass,", "probability": 0.8779296875}, {"start": 1380.53, "end": 1380.59, "word": " their", "probability": 0.677734375}, {"start": 1380.59, "end": 1380.97, "word": " total", "probability": 0.68408203125}], "temperature": 1.0}, {"id": 59, "seek": 139571, "start": 1382.39, "end": 1395.71, "text": "مجموعهم المباشر مترين وتسعة من عشرة متر واتنين من عشرة متر يعني تلاتة متر وعشرة سانت لو الضوء فرضنا دال في الهواء ولا دخل ميه ولا دخل اجزاز معناته الضوء", "tokens": [2304, 7435, 2304, 45367, 16095, 9673, 3555, 33599, 2288, 44650, 2288, 9957, 34683, 3794, 27884, 9154, 6225, 8592, 25720, 44650, 2288, 4032, 9307, 1863, 9957, 9154, 6225, 8592, 25720, 44650, 2288, 37495, 22653, 6055, 1211, 9307, 3660, 44650, 2288, 4032, 3615, 8592, 25720, 8608, 7649, 2655, 45164, 6024, 114, 2407, 38207, 6156, 43042, 8315, 11778, 6027, 8978, 2423, 3224, 2407, 16606, 49429, 11778, 9778, 1211, 3714, 1829, 3224, 49429, 11778, 9778, 1211, 1975, 7435, 11622, 31377, 20449, 8315, 47395, 6024, 114, 2407, 38207], "avg_logprob": -0.20963541081263906, "compression_ratio": 1.8835616438356164, "no_speech_prob": 6.443262100219727e-05, "words": [{"start": 1382.39, "end": 1383.19, "word": "مجموعهم", "probability": 0.76531982421875}, {"start": 1383.19, "end": 1383.99, "word": " المباشر", "probability": 0.987060546875}, {"start": 1383.99, "end": 1385.03, "word": " مترين", "probability": 0.765625}, {"start": 1385.03, "end": 1385.67, "word": " وتسعة", "probability": 0.8717447916666666}, {"start": 1385.67, "end": 1385.79, "word": " من", "probability": 0.95361328125}, {"start": 1385.79, "end": 1386.11, "word": " عشرة", "probability": 0.89990234375}, {"start": 1386.11, "end": 1386.53, "word": " متر", "probability": 0.9609375}, {"start": 1386.53, "end": 1387.01, "word": " واتنين", "probability": 0.786865234375}, {"start": 1387.01, "end": 1387.13, "word": " من", "probability": 0.98388671875}, {"start": 1387.13, "end": 1387.41, "word": " عشرة", "probability": 0.953125}, {"start": 1387.41, "end": 1387.67, "word": " متر", "probability": 0.98095703125}, {"start": 1387.67, "end": 1387.85, "word": " يعني", "probability": 0.6171875}, {"start": 1387.85, "end": 1388.29, "word": " تلاتة", "probability": 0.9615478515625}, {"start": 1388.29, "end": 1388.57, "word": " متر", "probability": 0.97216796875}, {"start": 1388.57, "end": 1388.93, "word": " وعشرة", "probability": 0.904541015625}, {"start": 1388.93, "end": 1389.35, "word": " سانت", "probability": 0.5921223958333334}, {"start": 1389.35, "end": 1390.11, "word": " لو", "probability": 0.57763671875}, {"start": 1390.11, "end": 1390.49, "word": " الضوء", "probability": 0.84771728515625}, {"start": 1390.49, "end": 1391.13, "word": " فرضنا", "probability": 0.9674479166666666}, {"start": 1391.13, "end": 1391.55, "word": " دال", "probability": 0.537109375}, {"start": 1391.55, "end": 1391.67, "word": " في", "probability": 0.623046875}, {"start": 1391.67, "end": 1392.09, "word": " الهواء", "probability": 0.8790283203125}, {"start": 1392.09, "end": 1392.43, "word": " ولا", "probability": 0.71875}, {"start": 1392.43, "end": 1392.79, "word": " دخل", "probability": 0.974609375}, {"start": 1392.79, "end": 1393.15, "word": " ميه", "probability": 0.7607421875}, {"start": 1393.15, "end": 1393.35, "word": " ولا", "probability": 0.89794921875}, {"start": 1393.35, "end": 1393.67, "word": " دخل", "probability": 0.9501953125}, {"start": 1393.67, "end": 1394.13, "word": " اجزاز", "probability": 0.72052001953125}, {"start": 1394.13, "end": 1395.01, "word": " معناته", "probability": 0.8896484375}, {"start": 1395.01, "end": 1395.71, "word": " الضوء", "probability": 0.924560546875}], "temperature": 1.0}, {"id": 60, "seek": 141626, "start": 1395.9, "end": 1416.26, "text": "in the same period of time, the one who used to cut 2 meters in the air and 90 centimeters in water and 20 centimeters in glass would cut in the air 3 meters and 47 centimeters instead of cutting in these three materials together 3 meters and 10 centimeters and this is what is meant in the optical path length", "tokens": [259, 264, 912, 2896, 295, 565, 11, 264, 472, 567, 1143, 281, 1723, 568, 8146, 294, 264, 1988, 293, 4289, 23300, 294, 1281, 293, 945, 23300, 294, 4276, 576, 1723, 294, 264, 1988, 805, 8146, 293, 16953, 23300, 2602, 295, 6492, 294, 613, 1045, 5319, 1214, 805, 8146, 293, 1266, 23300, 293, 341, 307, 437, 307, 4140, 294, 264, 20674, 3100, 4641], "avg_logprob": -0.475942453694722, "compression_ratio": 1.8902439024390243, "no_speech_prob": 6.67572021484375e-06, "words": [{"start": 1395.9, "end": 1396.12, "word": "in", "probability": 0.343017578125}, {"start": 1396.12, "end": 1396.3, "word": " the", "probability": 0.86376953125}, {"start": 1396.3, "end": 1396.52, "word": " same", "probability": 0.880859375}, {"start": 1396.52, "end": 1397.1, "word": " period", "probability": 0.40869140625}, {"start": 1397.1, "end": 1397.28, "word": " of", "probability": 0.58349609375}, {"start": 1397.28, "end": 1397.28, "word": " time,", "probability": 0.86669921875}, {"start": 1397.54, "end": 1397.6, "word": " the", "probability": 0.12371826171875}, {"start": 1397.6, "end": 1397.62, "word": " one", "probability": 0.274658203125}, {"start": 1397.62, "end": 1397.7, "word": " who", "probability": 0.72021484375}, {"start": 1397.7, "end": 1397.98, "word": " used", "probability": 0.1712646484375}, {"start": 1397.98, "end": 1398.44, "word": " to", "probability": 0.34814453125}, {"start": 1398.44, "end": 1398.72, "word": " cut", "probability": 0.313720703125}, {"start": 1398.72, "end": 1398.9, "word": " 2", "probability": 0.61279296875}, {"start": 1398.9, "end": 1399.18, "word": " meters", "probability": 0.82470703125}, {"start": 1399.18, "end": 1399.94, "word": " in", "probability": 0.5654296875}, {"start": 1399.94, "end": 1400.06, "word": " the", "probability": 0.60205078125}, {"start": 1400.06, "end": 1400.28, "word": " air", "probability": 0.78759765625}, {"start": 1400.28, "end": 1400.74, "word": " and", "probability": 0.50537109375}, {"start": 1400.74, "end": 1401.12, "word": " 90", "probability": 0.94580078125}, {"start": 1401.12, "end": 1401.46, "word": " centimeters", "probability": 0.38232421875}, {"start": 1401.46, "end": 1401.66, "word": " in", "probability": 0.908203125}, {"start": 1401.66, "end": 1402.0, "word": " water", "probability": 0.62744140625}, {"start": 1402.0, "end": 1402.44, "word": " and", "probability": 0.82666015625}, {"start": 1402.44, "end": 1402.76, "word": " 20", "probability": 0.95556640625}, {"start": 1402.76, "end": 1403.34, "word": " centimeters", "probability": 0.8837890625}, {"start": 1403.34, "end": 1404.4, "word": " in", "probability": 0.919921875}, {"start": 1404.4, "end": 1404.9, "word": " glass", "probability": 0.75927734375}, {"start": 1404.9, "end": 1405.24, "word": " would", "probability": 0.2142333984375}, {"start": 1405.24, "end": 1405.72, "word": " cut", "probability": 0.8212890625}, {"start": 1405.72, "end": 1405.86, "word": " in", "probability": 0.50244140625}, {"start": 1405.86, "end": 1405.98, "word": " the", "probability": 0.68212890625}, {"start": 1405.98, "end": 1406.24, "word": " air", "probability": 0.9169921875}, {"start": 1406.24, "end": 1406.9, "word": " 3", "probability": 0.859375}, {"start": 1406.9, "end": 1407.24, "word": " meters", "probability": 0.4814453125}, {"start": 1407.24, "end": 1407.44, "word": " and", "probability": 0.85400390625}, {"start": 1407.44, "end": 1407.94, "word": " 47", "probability": 0.9638671875}, {"start": 1407.94, "end": 1408.5, "word": " centimeters", "probability": 0.9228515625}, {"start": 1408.5, "end": 1408.88, "word": " instead", "probability": 0.63525390625}, {"start": 1408.88, "end": 1409.38, "word": " of", "probability": 0.95947265625}, {"start": 1409.38, "end": 1409.84, "word": " cutting", "probability": 0.9208984375}, {"start": 1409.84, "end": 1410.16, "word": " in", "probability": 0.413330078125}, {"start": 1410.16, "end": 1410.36, "word": " these", "probability": 0.47607421875}, {"start": 1410.36, "end": 1410.62, "word": " three", "probability": 0.60107421875}, {"start": 1410.62, "end": 1410.92, "word": " materials", "probability": 0.474609375}, {"start": 1410.92, "end": 1411.76, "word": " together", "probability": 0.6806640625}, {"start": 1411.76, "end": 1412.2, "word": " 3", "probability": 0.63427734375}, {"start": 1412.2, "end": 1412.58, "word": " meters", "probability": 0.8994140625}, {"start": 1412.58, "end": 1412.78, "word": " and", "probability": 0.9189453125}, {"start": 1412.78, "end": 1413.0, "word": " 10", "probability": 0.90673828125}, {"start": 1413.0, "end": 1413.4, "word": " centimeters", "probability": 0.8818359375}, {"start": 1413.4, "end": 1413.54, "word": " and", "probability": 0.403076171875}, {"start": 1413.54, "end": 1413.72, "word": " this", "probability": 0.7841796875}, {"start": 1413.72, "end": 1413.88, "word": " is", "probability": 0.92333984375}, {"start": 1413.88, "end": 1414.0, "word": " what", "probability": 0.50341796875}, {"start": 1414.0, "end": 1414.08, "word": " is", "probability": 0.787109375}, {"start": 1414.08, "end": 1414.46, "word": " meant", "probability": 0.79150390625}, {"start": 1414.46, "end": 1414.94, "word": " in", "probability": 0.55322265625}, {"start": 1414.94, "end": 1415.08, "word": " the", "probability": 0.43701171875}, {"start": 1415.08, "end": 1415.46, "word": " optical", "probability": 0.84130859375}, {"start": 1415.46, "end": 1415.92, "word": " path", "probability": 0.93798828125}, {"start": 1415.92, "end": 1416.26, "word": " length", "probability": 0.77001953125}], "temperature": 1.0}, {"id": 61, "seek": 144578, "start": 1417.62, "end": 1445.78, "text": "tell me about what is it? The unification of media exactly like we unify currency The unification of media transforms all distances as if they happened in the air How do I transform it? I multiply each distance in a matter that is in the refractive index of this matter and thus it turns out how much light was going to happen in the air, was going to happen in the air if it is multiplied by that in the same time that happened in a certain distance in the same matter, in the same matter", "tokens": [83, 898, 385, 466, 437, 307, 309, 30, 440, 517, 3774, 295, 3021, 2293, 411, 321, 517, 2505, 13346, 440, 517, 3774, 295, 3021, 35592, 439, 22182, 382, 498, 436, 2011, 294, 264, 1988, 1012, 360, 286, 4088, 309, 30, 286, 12972, 1184, 4560, 294, 257, 1871, 300, 307, 294, 264, 45353, 488, 8186, 295, 341, 1871, 293, 8807, 309, 4523, 484, 577, 709, 1442, 390, 516, 281, 1051, 294, 264, 1988, 11, 390, 516, 281, 1051, 294, 264, 1988, 498, 309, 307, 17207, 538, 300, 294, 264, 912, 565, 300, 2011, 294, 257, 1629, 4560, 294, 264, 912, 1871, 11, 294, 264, 912, 1871], "avg_logprob": -0.510613184492543, "compression_ratio": 2.0375, "no_speech_prob": 2.086162567138672e-06, "words": [{"start": 1417.62, "end": 1418.04, "word": "tell", "probability": 0.35498046875}, {"start": 1418.04, "end": 1418.16, "word": " me", "probability": 0.93212890625}, {"start": 1418.16, "end": 1418.5, "word": " about", "probability": 0.2230224609375}, {"start": 1418.5, "end": 1418.64, "word": " what", "probability": 0.6015625}, {"start": 1418.64, "end": 1419.0, "word": " is", "probability": 0.496337890625}, {"start": 1419.0, "end": 1419.14, "word": " it?", "probability": 0.35302734375}, {"start": 1419.8, "end": 1420.28, "word": " The", "probability": 0.1785888671875}, {"start": 1420.28, "end": 1420.54, "word": " unification", "probability": 0.73095703125}, {"start": 1420.54, "end": 1420.78, "word": " of", "probability": 0.97314453125}, {"start": 1420.78, "end": 1421.1, "word": " media", "probability": 0.5869140625}, {"start": 1421.1, "end": 1421.52, "word": " exactly", "probability": 0.50439453125}, {"start": 1421.52, "end": 1421.78, "word": " like", "probability": 0.46923828125}, {"start": 1421.78, "end": 1422.5, "word": " we", "probability": 0.5791015625}, {"start": 1422.5, "end": 1423.2, "word": " unify", "probability": 0.7052001953125}, {"start": 1423.2, "end": 1423.66, "word": " currency", "probability": 0.3125}, {"start": 1423.66, "end": 1423.88, "word": " The", "probability": 0.345947265625}, {"start": 1423.88, "end": 1424.16, "word": " unification", "probability": 0.931884765625}, {"start": 1424.16, "end": 1424.36, "word": " of", "probability": 0.97265625}, {"start": 1424.36, "end": 1424.58, "word": " media", "probability": 0.81201171875}, {"start": 1424.58, "end": 1425.0, "word": " transforms", "probability": 0.301513671875}, {"start": 1425.0, "end": 1425.58, "word": " all", "probability": 0.89306640625}, {"start": 1425.58, "end": 1425.96, "word": " distances", "probability": 0.7177734375}, {"start": 1425.96, "end": 1426.26, "word": " as", "probability": 0.52734375}, {"start": 1426.26, "end": 1426.42, "word": " if", "probability": 0.775390625}, {"start": 1426.42, "end": 1426.58, "word": " they", "probability": 0.62451171875}, {"start": 1426.58, "end": 1426.86, "word": " happened", "probability": 0.43994140625}, {"start": 1426.86, "end": 1427.04, "word": " in", "probability": 0.84619140625}, {"start": 1427.04, "end": 1427.14, "word": " the", "probability": 0.615234375}, {"start": 1427.14, "end": 1427.3, "word": " air", "probability": 0.7783203125}, {"start": 1427.3, "end": 1428.08, "word": " How", "probability": 0.599609375}, {"start": 1428.08, "end": 1428.2, "word": " do", "probability": 0.5537109375}, {"start": 1428.2, "end": 1428.24, "word": " I", "probability": 0.9560546875}, {"start": 1428.24, "end": 1428.56, "word": " transform", "probability": 0.64404296875}, {"start": 1428.56, "end": 1428.66, "word": " it?", "probability": 0.7255859375}, {"start": 1428.92, "end": 1428.92, "word": " I", "probability": 0.84619140625}, {"start": 1428.92, "end": 1429.06, "word": " multiply", "probability": 0.399169921875}, {"start": 1429.06, "end": 1429.42, "word": " each", "probability": 0.5087890625}, {"start": 1429.42, "end": 1429.88, "word": " distance", "probability": 0.92578125}, {"start": 1429.88, "end": 1430.44, "word": " in", "probability": 0.69970703125}, {"start": 1430.44, "end": 1430.58, "word": " a", "probability": 0.69580078125}, {"start": 1430.58, "end": 1430.86, "word": " matter", "probability": 0.2474365234375}, {"start": 1430.86, "end": 1431.02, "word": " that", "probability": 0.2005615234375}, {"start": 1431.02, "end": 1431.4, "word": " is", "probability": 0.5302734375}, {"start": 1431.4, "end": 1431.48, "word": " in", "probability": 0.81689453125}, {"start": 1431.48, "end": 1431.58, "word": " the", "probability": 0.498046875}, {"start": 1431.58, "end": 1432.14, "word": " refractive", "probability": 0.979736328125}, {"start": 1432.14, "end": 1432.5, "word": " index", "probability": 0.939453125}, {"start": 1432.5, "end": 1432.76, "word": " of", "probability": 0.9599609375}, {"start": 1432.76, "end": 1433.06, "word": " this", "probability": 0.6748046875}, {"start": 1433.06, "end": 1433.5, "word": " matter", "probability": 0.50146484375}, {"start": 1433.5, "end": 1433.98, "word": " and", "probability": 0.6005859375}, {"start": 1433.98, "end": 1434.5, "word": " thus", "probability": 0.1866455078125}, {"start": 1434.5, "end": 1435.24, "word": " it", "probability": 0.37451171875}, {"start": 1435.24, "end": 1435.6, "word": " turns", "probability": 0.328857421875}, {"start": 1435.6, "end": 1435.8, "word": " out", "probability": 0.8642578125}, {"start": 1435.8, "end": 1436.04, "word": " how", "probability": 0.44580078125}, {"start": 1436.04, "end": 1436.28, "word": " much", "probability": 0.7314453125}, {"start": 1436.28, "end": 1436.48, "word": " light", "probability": 0.7763671875}, {"start": 1436.48, "end": 1436.72, "word": " was", "probability": 0.31787109375}, {"start": 1436.72, "end": 1437.0, "word": " going", "probability": 0.73095703125}, {"start": 1437.0, "end": 1437.0, "word": " to", "probability": 0.60205078125}, {"start": 1437.0, "end": 1437.24, "word": " happen", "probability": 0.3798828125}, {"start": 1437.24, "end": 1437.38, "word": " in", "probability": 0.9365234375}, {"start": 1437.38, "end": 1437.5, "word": " the", "probability": 0.828125}, {"start": 1437.5, "end": 1437.72, "word": " air,", "probability": 0.8837890625}, {"start": 1437.88, "end": 1438.22, "word": " was", "probability": 0.466552734375}, {"start": 1438.22, "end": 1438.44, "word": " going", "probability": 0.93798828125}, {"start": 1438.44, "end": 1438.46, "word": " to", "probability": 0.9697265625}, {"start": 1438.46, "end": 1438.64, "word": " happen", "probability": 0.8740234375}, {"start": 1438.64, "end": 1438.74, "word": " in", "probability": 0.9111328125}, {"start": 1438.74, "end": 1438.86, "word": " the", "probability": 0.9052734375}, {"start": 1438.86, "end": 1439.1, "word": " air", "probability": 0.9091796875}, {"start": 1439.1, "end": 1439.78, "word": " if", "probability": 0.77001953125}, {"start": 1439.78, "end": 1439.92, "word": " it", "probability": 0.52099609375}, {"start": 1439.92, "end": 1440.12, "word": " is", "probability": 0.211181640625}, {"start": 1440.12, "end": 1440.22, "word": " multiplied", "probability": 0.15966796875}, {"start": 1440.22, "end": 1440.44, "word": " by", "probability": 0.7646484375}, {"start": 1440.44, "end": 1440.74, "word": " that", "probability": 0.87158203125}, {"start": 1440.74, "end": 1441.06, "word": " in", "probability": 0.5869140625}, {"start": 1441.06, "end": 1441.22, "word": " the", "probability": 0.9228515625}, {"start": 1441.22, "end": 1441.36, "word": " same", "probability": 0.89453125}, {"start": 1441.36, "end": 1441.74, "word": " time", "probability": 0.6572265625}, {"start": 1441.74, "end": 1441.96, "word": " that", "probability": 0.58642578125}, {"start": 1441.96, "end": 1442.2, "word": " happened", "probability": 0.583984375}, {"start": 1442.2, "end": 1442.38, "word": " in", "probability": 0.65185546875}, {"start": 1442.38, "end": 1442.56, "word": " a", "probability": 0.92333984375}, {"start": 1442.56, "end": 1443.22, "word": " certain", "probability": 0.625}, {"start": 1443.22, "end": 1443.28, "word": " distance", "probability": 0.89208984375}, {"start": 1443.28, "end": 1443.54, "word": " in", "probability": 0.84326171875}, {"start": 1443.54, "end": 1444.96, "word": " the", "probability": 0.8310546875}, {"start": 1444.96, "end": 1444.96, "word": " same", "probability": 0.5712890625}, {"start": 1444.96, "end": 1445.06, "word": " matter,", "probability": 0.50244140625}, {"start": 1445.22, "end": 1445.36, "word": " in", "probability": 0.89794921875}, {"start": 1445.36, "end": 1445.46, "word": " the", "probability": 0.89501953125}, {"start": 1445.46, "end": 1445.78, "word": " same", "probability": 0.71435546875}, {"start": 1445.78, "end": 1445.78, "word": " matter", "probability": 0.72998046875}], "temperature": 1.0}, {"id": 62, "seek": 147159, "start": 1451.81, "end": 1471.59, "text": "The following figure shows light from an object point traveling along two different paths to the image point. لو احنا اجينا هنقول ايش فايدة ال optical path links احنا هناخد نقطة من ال object و هاي صورتها في ال image بنقول الضوء هينتشر في جميع الاتجاهات بس احنا هناخد", "tokens": [2278, 3480, 2573, 3110, 1442, 490, 364, 2657, 935, 9712, 2051, 732, 819, 14518, 281, 264, 3256, 935, 13, 45164, 1975, 5016, 8315, 1975, 7435, 1829, 8315, 8032, 1863, 39648, 1975, 1829, 8592, 6156, 995, 25708, 3660, 2423, 20674, 3100, 6123, 1975, 5016, 8315, 8032, 1863, 47283, 3215, 8717, 47432, 3660, 9154, 2423, 2657, 4032, 8032, 47302, 20328, 13063, 2655, 11296, 8978, 2423, 3256, 44945, 39648, 6024, 114, 2407, 38207, 8032, 9957, 2655, 46309, 8978, 10874, 2304, 40228, 2423, 9307, 7435, 40294, 9307, 4724, 3794, 1975, 5016, 8315, 8032, 1863, 47283, 3215], "avg_logprob": -0.19237230926431637, "compression_ratio": 1.5598290598290598, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 1451.81, "end": 1452.01, "word": "The", "probability": 0.6806640625}, {"start": 1452.01, "end": 1452.37, "word": " following", "probability": 0.90478515625}, {"start": 1452.37, "end": 1452.73, "word": " figure", "probability": 0.96484375}, {"start": 1452.73, "end": 1453.07, "word": " shows", "probability": 0.92138671875}, {"start": 1453.07, "end": 1453.41, "word": " light", "probability": 0.84814453125}, {"start": 1453.41, "end": 1453.69, "word": " from", "probability": 0.87744140625}, {"start": 1453.69, "end": 1453.99, "word": " an", "probability": 0.94189453125}, {"start": 1453.99, "end": 1454.37, "word": " object", "probability": 0.96240234375}, {"start": 1454.37, "end": 1454.83, "word": " point", "probability": 0.970703125}, {"start": 1454.83, "end": 1455.65, "word": " traveling", "probability": 0.53173828125}, {"start": 1455.65, "end": 1456.39, "word": " along", "probability": 0.96875}, {"start": 1456.39, "end": 1456.91, "word": " two", "probability": 0.90478515625}, {"start": 1456.91, "end": 1457.43, "word": " different", "probability": 0.8779296875}, {"start": 1457.43, "end": 1457.79, "word": " paths", "probability": 0.7880859375}, {"start": 1457.79, "end": 1458.15, "word": " to", "probability": 0.9619140625}, {"start": 1458.15, "end": 1458.31, "word": " the", "probability": 0.908203125}, {"start": 1458.31, "end": 1458.69, "word": " image", "probability": 0.9345703125}, {"start": 1458.69, "end": 1459.11, "word": " point.", "probability": 0.97265625}, {"start": 1459.21, "end": 1459.51, "word": " لو", "probability": 0.1600341796875}, {"start": 1459.51, "end": 1459.77, "word": " احنا", "probability": 0.8681640625}, {"start": 1459.77, "end": 1460.09, "word": " اجينا", "probability": 0.79998779296875}, {"start": 1460.09, "end": 1460.51, "word": " هنقول", "probability": 0.6559244791666666}, {"start": 1460.51, "end": 1460.75, "word": " ايش", "probability": 0.75341796875}, {"start": 1460.75, "end": 1461.11, "word": " فايدة", "probability": 0.8321533203125}, {"start": 1461.11, "end": 1461.23, "word": " ال", "probability": 0.939453125}, {"start": 1461.23, "end": 1461.55, "word": " optical", "probability": 0.83544921875}, {"start": 1461.55, "end": 1461.99, "word": " path", "probability": 0.90673828125}, {"start": 1461.99, "end": 1462.29, "word": " links", "probability": 0.6767578125}, {"start": 1462.29, "end": 1462.89, "word": " احنا", "probability": 0.7765299479166666}, {"start": 1462.89, "end": 1463.59, "word": " هناخد", "probability": 0.9774169921875}, {"start": 1463.59, "end": 1464.01, "word": " نقطة", "probability": 0.87744140625}, {"start": 1464.01, "end": 1464.15, "word": " من", "probability": 0.9951171875}, {"start": 1464.15, "end": 1464.27, "word": " ال", "probability": 0.97314453125}, {"start": 1464.27, "end": 1464.71, "word": " object", "probability": 0.85498046875}, {"start": 1464.71, "end": 1465.73, "word": " و", "probability": 0.33349609375}, {"start": 1465.73, "end": 1466.17, "word": " هاي", "probability": 0.586669921875}, {"start": 1466.17, "end": 1466.73, "word": " صورتها", "probability": 0.980224609375}, {"start": 1466.73, "end": 1467.01, "word": " في", "probability": 0.89599609375}, {"start": 1467.01, "end": 1467.13, "word": " ال", "probability": 0.9814453125}, {"start": 1467.13, "end": 1467.43, "word": " image", "probability": 0.916015625}, {"start": 1467.43, "end": 1468.11, "word": " بنقول", "probability": 0.6951904296875}, {"start": 1468.11, "end": 1468.57, "word": " الضوء", "probability": 0.86053466796875}, {"start": 1468.57, "end": 1469.19, "word": " هينتشر", "probability": 0.9508056640625}, {"start": 1469.19, "end": 1469.33, "word": " في", "probability": 0.9833984375}, {"start": 1469.33, "end": 1469.69, "word": " جميع", "probability": 0.9947916666666666}, {"start": 1469.69, "end": 1470.53, "word": " الاتجاهات", "probability": 0.93974609375}, {"start": 1470.53, "end": 1470.85, "word": " بس", "probability": 0.970703125}, {"start": 1470.85, "end": 1471.09, "word": " احنا", "probability": 0.9807942708333334}, {"start": 1471.09, "end": 1471.59, "word": " هناخد", "probability": 0.995361328125}], "temperature": 1.0}, {"id": 63, "seek": 149004, "start": 1471.68, "end": 1490.04, "text": "Two paths, two paths, meaning the light followed them. To explain the idea of optical path length, optical path length, we say that the first path, the light started from point A and broke at the front surface and broke a little at the back surface and reached I which is the emission", "tokens": [33594, 14518, 11, 732, 14518, 11, 3620, 264, 1442, 6263, 552, 13, 1407, 2903, 264, 1558, 295, 20674, 3100, 4641, 11, 20674, 3100, 4641, 11, 321, 584, 300, 264, 700, 3100, 11, 264, 1442, 1409, 490, 935, 316, 293, 6902, 412, 264, 1868, 3753, 293, 6902, 257, 707, 412, 264, 646, 3753, 293, 6488, 286, 597, 307, 264, 29513], "avg_logprob": -0.5013020604848861, "compression_ratio": 1.7530864197530864, "no_speech_prob": 1.3709068298339844e-06, "words": [{"start": 1471.68, "end": 1472.02, "word": "Two", "probability": 0.10406494140625}, {"start": 1472.02, "end": 1472.46, "word": " paths,", "probability": 0.330810546875}, {"start": 1472.72, "end": 1473.1, "word": " two", "probability": 0.65087890625}, {"start": 1473.1, "end": 1473.44, "word": " paths,", "probability": 0.8994140625}, {"start": 1474.0, "end": 1475.14, "word": " meaning", "probability": 0.297607421875}, {"start": 1475.14, "end": 1475.52, "word": " the", "probability": 0.4228515625}, {"start": 1475.52, "end": 1475.68, "word": " light", "probability": 0.56396484375}, {"start": 1475.68, "end": 1475.92, "word": " followed", "probability": 0.1148681640625}, {"start": 1475.92, "end": 1476.22, "word": " them.", "probability": 0.8349609375}, {"start": 1476.42, "end": 1476.74, "word": " To", "probability": 0.66357421875}, {"start": 1476.74, "end": 1477.16, "word": " explain", "probability": 0.4931640625}, {"start": 1477.16, "end": 1477.34, "word": " the", "probability": 0.859375}, {"start": 1477.34, "end": 1477.58, "word": " idea", "probability": 0.7412109375}, {"start": 1477.58, "end": 1477.78, "word": " of", "probability": 0.9599609375}, {"start": 1477.78, "end": 1478.28, "word": " optical", "probability": 0.469482421875}, {"start": 1478.28, "end": 1478.76, "word": " path", "probability": 0.93505859375}, {"start": 1478.76, "end": 1479.14, "word": " length,", "probability": 0.75390625}, {"start": 1479.24, "end": 1479.66, "word": " optical", "probability": 0.76953125}, {"start": 1479.66, "end": 1480.2, "word": " path", "probability": 0.96044921875}, {"start": 1480.2, "end": 1480.5, "word": " length,", "probability": 0.85009765625}, {"start": 1480.66, "end": 1480.82, "word": " we", "probability": 0.7236328125}, {"start": 1480.82, "end": 1480.98, "word": " say", "probability": 0.8134765625}, {"start": 1480.98, "end": 1481.12, "word": " that", "probability": 0.51708984375}, {"start": 1481.12, "end": 1481.14, "word": " the", "probability": 0.71923828125}, {"start": 1481.14, "end": 1481.84, "word": " first", "probability": 0.81640625}, {"start": 1481.84, "end": 1481.84, "word": " path,", "probability": 0.8525390625}, {"start": 1482.2, "end": 1482.42, "word": " the", "probability": 0.7109375}, {"start": 1482.42, "end": 1482.52, "word": " light", "probability": 0.857421875}, {"start": 1482.52, "end": 1482.9, "word": " started", "probability": 0.5}, {"start": 1482.9, "end": 1483.14, "word": " from", "probability": 0.8095703125}, {"start": 1483.14, "end": 1483.46, "word": " point", "probability": 0.90966796875}, {"start": 1483.46, "end": 1483.76, "word": " A", "probability": 0.865234375}, {"start": 1483.76, "end": 1483.96, "word": " and", "probability": 0.64013671875}, {"start": 1483.96, "end": 1484.24, "word": " broke", "probability": 0.40478515625}, {"start": 1484.24, "end": 1484.48, "word": " at", "probability": 0.4521484375}, {"start": 1484.48, "end": 1484.66, "word": " the", "probability": 0.9111328125}, {"start": 1484.66, "end": 1485.16, "word": " front", "probability": 0.86181640625}, {"start": 1485.16, "end": 1485.38, "word": " surface", "probability": 0.72802734375}, {"start": 1485.38, "end": 1485.92, "word": " and", "probability": 0.71337890625}, {"start": 1485.92, "end": 1486.28, "word": " broke", "probability": 0.47314453125}, {"start": 1486.28, "end": 1486.44, "word": " a", "probability": 0.69482421875}, {"start": 1486.44, "end": 1486.54, "word": " little", "probability": 0.68798828125}, {"start": 1486.54, "end": 1486.76, "word": " at", "probability": 0.615234375}, {"start": 1486.76, "end": 1486.9, "word": " the", "probability": 0.92236328125}, {"start": 1486.9, "end": 1487.4, "word": " back", "probability": 0.66015625}, {"start": 1487.4, "end": 1487.5, "word": " surface", "probability": 0.79736328125}, {"start": 1487.5, "end": 1487.68, "word": " and", "probability": 0.50146484375}, {"start": 1487.68, "end": 1487.96, "word": " reached", "probability": 0.7744140625}, {"start": 1487.96, "end": 1489.04, "word": " I", "probability": 0.79931640625}, {"start": 1489.04, "end": 1489.22, "word": " which", "probability": 0.56103515625}, {"start": 1489.22, "end": 1489.58, "word": " is", "probability": 0.9345703125}, {"start": 1489.58, "end": 1489.76, "word": " the", "probability": 0.56396484375}, {"start": 1489.76, "end": 1490.04, "word": " emission", "probability": 0.5576171875}], "temperature": 1.0}, {"id": 64, "seek": 151590, "start": 1490.94, "end": 1515.9, "text": "and it also took another ray or a group of rays took the second path If we notice, if we notice, the first path is much shorter and the second path is much longer So, for the picture to be clear and to connect, it must connect with each other, the rays connect with each other Why do the rays have to connect with each other? We give an example from practical life, we say if a person", "tokens": [474, 309, 611, 1890, 1071, 18592, 420, 257, 1594, 295, 24417, 1890, 264, 1150, 3100, 759, 321, 3449, 11, 498, 321, 3449, 11, 264, 700, 3100, 307, 709, 11639, 293, 264, 1150, 3100, 307, 709, 2854, 407, 11, 337, 264, 3036, 281, 312, 1850, 293, 281, 1745, 11, 309, 1633, 1745, 365, 1184, 661, 11, 264, 24417, 1745, 365, 1184, 661, 1545, 360, 264, 24417, 362, 281, 1745, 365, 1184, 661, 30, 492, 976, 364, 1365, 490, 8496, 993, 11, 321, 584, 498, 257, 954], "avg_logprob": -0.430595928499865, "compression_ratio": 1.8640776699029127, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 1490.94, "end": 1491.5, "word": "and", "probability": 0.513671875}, {"start": 1491.5, "end": 1492.06, "word": " it", "probability": 0.16015625}, {"start": 1492.06, "end": 1492.64, "word": " also", "probability": 0.350830078125}, {"start": 1492.64, "end": 1492.64, "word": " took", "probability": 0.75732421875}, {"start": 1492.64, "end": 1492.8, "word": " another", "probability": 0.751953125}, {"start": 1492.8, "end": 1492.98, "word": " ray", "probability": 0.1427001953125}, {"start": 1492.98, "end": 1494.26, "word": " or", "probability": 0.57275390625}, {"start": 1494.26, "end": 1494.54, "word": " a", "probability": 0.467041015625}, {"start": 1494.54, "end": 1494.54, "word": " group", "probability": 0.292724609375}, {"start": 1494.54, "end": 1494.72, "word": " of", "probability": 0.9697265625}, {"start": 1494.72, "end": 1495.0, "word": " rays", "probability": 0.81640625}, {"start": 1495.0, "end": 1495.36, "word": " took", "probability": 0.73583984375}, {"start": 1495.36, "end": 1495.68, "word": " the", "probability": 0.58251953125}, {"start": 1495.68, "end": 1496.58, "word": " second", "probability": 0.58642578125}, {"start": 1496.58, "end": 1496.58, "word": " path", "probability": 0.3837890625}, {"start": 1496.58, "end": 1497.42, "word": " If", "probability": 0.5302734375}, {"start": 1497.42, "end": 1497.64, "word": " we", "probability": 0.888671875}, {"start": 1497.64, "end": 1498.0, "word": " notice,", "probability": 0.6923828125}, {"start": 1498.26, "end": 1498.48, "word": " if", "probability": 0.72021484375}, {"start": 1498.48, "end": 1498.86, "word": " we", "probability": 0.962890625}, {"start": 1498.86, "end": 1498.86, "word": " notice,", "probability": 0.93115234375}, {"start": 1498.92, "end": 1499.0, "word": " the", "probability": 0.8564453125}, {"start": 1499.0, "end": 1499.58, "word": " first", "probability": 0.88330078125}, {"start": 1499.58, "end": 1499.58, "word": " path", "probability": 0.85888671875}, {"start": 1499.58, "end": 1499.8, "word": " is", "probability": 0.48486328125}, {"start": 1499.8, "end": 1499.84, "word": " much", "probability": 0.6591796875}, {"start": 1499.84, "end": 1500.12, "word": " shorter", "probability": 0.9267578125}, {"start": 1500.12, "end": 1501.22, "word": " and", "probability": 0.74365234375}, {"start": 1501.22, "end": 1501.32, "word": " the", "probability": 0.91650390625}, {"start": 1501.32, "end": 1501.96, "word": " second", "probability": 0.87060546875}, {"start": 1501.96, "end": 1501.96, "word": " path", "probability": 0.8857421875}, {"start": 1501.96, "end": 1502.14, "word": " is", "probability": 0.79248046875}, {"start": 1502.14, "end": 1502.64, "word": " much", "probability": 0.87255859375}, {"start": 1502.64, "end": 1502.64, "word": " longer", "probability": 0.93603515625}, {"start": 1502.64, "end": 1503.54, "word": " So,", "probability": 0.52099609375}, {"start": 1503.86, "end": 1504.66, "word": " for", "probability": 0.496826171875}, {"start": 1504.66, "end": 1504.88, "word": " the", "probability": 0.8671875}, {"start": 1504.88, "end": 1505.06, "word": " picture", "probability": 0.54150390625}, {"start": 1505.06, "end": 1505.2, "word": " to", "probability": 0.96826171875}, {"start": 1505.2, "end": 1505.34, "word": " be", "probability": 0.9521484375}, {"start": 1505.34, "end": 1505.66, "word": " clear", "probability": 0.841796875}, {"start": 1505.66, "end": 1506.04, "word": " and", "probability": 0.91650390625}, {"start": 1506.04, "end": 1506.36, "word": " to", "probability": 0.2132568359375}, {"start": 1506.36, "end": 1506.5, "word": " connect,", "probability": 0.4306640625}, {"start": 1506.9, "end": 1506.9, "word": " it", "probability": 0.372802734375}, {"start": 1506.9, "end": 1507.22, "word": " must", "probability": 0.54833984375}, {"start": 1507.22, "end": 1507.76, "word": " connect", "probability": 0.86962890625}, {"start": 1507.76, "end": 1508.0, "word": " with", "probability": 0.32373046875}, {"start": 1508.0, "end": 1508.36, "word": " each", "probability": 0.92822265625}, {"start": 1508.36, "end": 1508.38, "word": " other,", "probability": 0.89501953125}, {"start": 1508.48, "end": 1508.54, "word": " the", "probability": 0.87890625}, {"start": 1508.54, "end": 1508.82, "word": " rays", "probability": 0.91162109375}, {"start": 1508.82, "end": 1509.22, "word": " connect", "probability": 0.53759765625}, {"start": 1509.22, "end": 1509.44, "word": " with", "probability": 0.8291015625}, {"start": 1509.44, "end": 1509.68, "word": " each", "probability": 0.9453125}, {"start": 1509.68, "end": 1509.8, "word": " other", "probability": 0.90625}, {"start": 1509.8, "end": 1510.38, "word": " Why", "probability": 0.7685546875}, {"start": 1510.38, "end": 1510.72, "word": " do", "probability": 0.35498046875}, {"start": 1510.72, "end": 1511.06, "word": " the", "probability": 0.45654296875}, {"start": 1511.06, "end": 1511.38, "word": " rays", "probability": 0.96142578125}, {"start": 1511.38, "end": 1511.46, "word": " have", "probability": 0.58349609375}, {"start": 1511.46, "end": 1511.46, "word": " to", "probability": 0.974609375}, {"start": 1511.46, "end": 1511.46, "word": " connect", "probability": 0.8544921875}, {"start": 1511.46, "end": 1511.62, "word": " with", "probability": 0.796875}, {"start": 1511.62, "end": 1511.92, "word": " each", "probability": 0.95458984375}, {"start": 1511.92, "end": 1512.0, "word": " other?", "probability": 0.8994140625}, {"start": 1512.38, "end": 1512.74, "word": " We", "probability": 0.7607421875}, {"start": 1512.74, "end": 1512.84, "word": " give", "probability": 0.218505859375}, {"start": 1512.84, "end": 1513.64, "word": " an", "probability": 0.4736328125}, {"start": 1513.64, "end": 1513.88, "word": " example", "probability": 0.98095703125}, {"start": 1513.88, "end": 1514.1, "word": " from", "probability": 0.611328125}, {"start": 1514.1, "end": 1514.22, "word": " practical", "probability": 0.8193359375}, {"start": 1514.22, "end": 1514.88, "word": " life,", "probability": 0.90087890625}, {"start": 1514.98, "end": 1515.1, "word": " we", "probability": 0.86279296875}, {"start": 1515.1, "end": 1515.28, "word": " say", "probability": 0.93896484375}, {"start": 1515.28, "end": 1515.44, "word": " if", "probability": 0.48876953125}, {"start": 1515.44, "end": 1515.6, "word": " a", "probability": 0.87939453125}, {"start": 1515.6, "end": 1515.9, "word": " person", "probability": 0.626953125}], "temperature": 1.0}, {"id": 65, "seek": 151973, "start": 1517.15, "end": 1519.73, "text": " لو إنسان اتفق مع عشر أشخاص", "tokens": [45164, 36145, 3794, 7649, 1975, 2655, 5172, 4587, 20449, 6225, 46309, 5551, 8592, 9778, 33546], "avg_logprob": -0.16162110026925802, "compression_ratio": 0.8421052631578947, "no_speech_prob": 0.0, "words": [{"start": 1517.15, "end": 1517.43, "word": " لو", "probability": 0.5576171875}, {"start": 1517.43, "end": 1517.95, "word": " إنسان", "probability": 0.8240559895833334}, {"start": 1517.95, "end": 1518.61, "word": " اتفق", "probability": 0.9383544921875}, {"start": 1518.61, "end": 1518.79, "word": " مع", "probability": 0.99609375}, {"start": 1518.79, "end": 1519.09, "word": " عشر", "probability": 0.961181640625}, {"start": 1519.09, "end": 1519.73, "word": " أشخاص", "probability": 0.9788818359375}], "temperature": 1.0}, {"id": 66, "seek": 154759, "start": 1520.47, "end": 1547.59, "text": "they meet at a certain place to go on a trip, okay? One comes at ten in the morning at this agreed place to go on a trip One comes at ten and a quarter, one comes at ten and a half, one comes at eleven to the third, one comes at eleven and .. In the end, this is not a trip because they will not meet and gather together at the same time so that later they can go on their trip And also things started at a certain moment from a point from the object", "tokens": [13162, 1677, 412, 257, 1629, 1081, 281, 352, 322, 257, 4931, 11, 1392, 30, 1485, 1487, 412, 2064, 294, 264, 2446, 412, 341, 9166, 1081, 281, 352, 322, 257, 4931, 1485, 1487, 412, 2064, 293, 257, 6555, 11, 472, 1487, 412, 2064, 293, 257, 1922, 11, 472, 1487, 412, 21090, 281, 264, 2636, 11, 472, 1487, 412, 21090, 293, 4386, 682, 264, 917, 11, 341, 307, 406, 257, 4931, 570, 436, 486, 406, 1677, 293, 5448, 1214, 412, 264, 912, 565, 370, 300, 1780, 436, 393, 352, 322, 641, 4931, 400, 611, 721, 1409, 412, 257, 1629, 1623, 490, 257, 935, 490, 264, 2657], "avg_logprob": -0.4690476076943534, "compression_ratio": 2.0179372197309418, "no_speech_prob": 1.9073486328125e-06, "words": [{"start": 1520.4699999999998, "end": 1520.87, "word": "they", "probability": 0.1824951171875}, {"start": 1520.87, "end": 1521.13, "word": " meet", "probability": 0.623046875}, {"start": 1521.13, "end": 1521.43, "word": " at", "probability": 0.498046875}, {"start": 1521.43, "end": 1521.59, "word": " a", "probability": 0.79248046875}, {"start": 1521.59, "end": 1522.13, "word": " certain", "probability": 0.4853515625}, {"start": 1522.13, "end": 1522.13, "word": " place", "probability": 0.48388671875}, {"start": 1522.13, "end": 1522.49, "word": " to", "probability": 0.66650390625}, {"start": 1522.49, "end": 1522.83, "word": " go", "probability": 0.281005859375}, {"start": 1522.83, "end": 1523.15, "word": " on", "probability": 0.75048828125}, {"start": 1523.15, "end": 1523.23, "word": " a", "probability": 0.890625}, {"start": 1523.23, "end": 1523.47, "word": " trip,", "probability": 0.77587890625}, {"start": 1523.59, "end": 1523.85, "word": " okay?", "probability": 0.25146484375}, {"start": 1524.73, "end": 1525.13, "word": " One", "probability": 0.3408203125}, {"start": 1525.13, "end": 1525.33, "word": " comes", "probability": 0.177734375}, {"start": 1525.33, "end": 1525.55, "word": " at", "probability": 0.935546875}, {"start": 1525.55, "end": 1525.83, "word": " ten", "probability": 0.5810546875}, {"start": 1525.83, "end": 1526.03, "word": " in", "probability": 0.5859375}, {"start": 1526.03, "end": 1526.19, "word": " the", "probability": 0.92822265625}, {"start": 1526.19, "end": 1526.41, "word": " morning", "probability": 0.900390625}, {"start": 1526.41, "end": 1527.13, "word": " at", "probability": 0.396484375}, {"start": 1527.13, "end": 1527.37, "word": " this", "probability": 0.6123046875}, {"start": 1527.37, "end": 1528.15, "word": " agreed", "probability": 0.4541015625}, {"start": 1528.15, "end": 1528.43, "word": " place", "probability": 0.728515625}, {"start": 1528.43, "end": 1528.87, "word": " to", "probability": 0.85107421875}, {"start": 1528.87, "end": 1529.23, "word": " go", "probability": 0.693359375}, {"start": 1529.23, "end": 1529.45, "word": " on", "probability": 0.92431640625}, {"start": 1529.45, "end": 1529.55, "word": " a", "probability": 0.74462890625}, {"start": 1529.55, "end": 1529.77, "word": " trip", "probability": 0.89990234375}, {"start": 1529.77, "end": 1530.61, "word": " One", "probability": 0.405029296875}, {"start": 1530.61, "end": 1530.85, "word": " comes", "probability": 0.7626953125}, {"start": 1530.85, "end": 1530.97, "word": " at", "probability": 0.68798828125}, {"start": 1530.97, "end": 1531.15, "word": " ten", "probability": 0.5615234375}, {"start": 1531.15, "end": 1531.31, "word": " and", "probability": 0.308837890625}, {"start": 1531.31, "end": 1531.41, "word": " a", "probability": 0.85791015625}, {"start": 1531.41, "end": 1531.47, "word": " quarter,", "probability": 0.87109375}, {"start": 1531.57, "end": 1531.77, "word": " one", "probability": 0.857421875}, {"start": 1531.77, "end": 1531.95, "word": " comes", "probability": 0.8681640625}, {"start": 1531.95, "end": 1532.05, "word": " at", "probability": 0.9033203125}, {"start": 1532.05, "end": 1532.23, "word": " ten", "probability": 0.87109375}, {"start": 1532.23, "end": 1532.41, "word": " and", "probability": 0.9267578125}, {"start": 1532.41, "end": 1532.55, "word": " a", "probability": 0.91259765625}, {"start": 1532.55, "end": 1532.63, "word": " half,", "probability": 0.86865234375}, {"start": 1532.73, "end": 1532.91, "word": " one", "probability": 0.9091796875}, {"start": 1532.91, "end": 1533.11, "word": " comes", "probability": 0.85791015625}, {"start": 1533.11, "end": 1533.21, "word": " at", "probability": 0.8046875}, {"start": 1533.21, "end": 1533.53, "word": " eleven", "probability": 0.81689453125}, {"start": 1533.53, "end": 1533.71, "word": " to", "probability": 0.47021484375}, {"start": 1533.71, "end": 1533.87, "word": " the", "probability": 0.236328125}, {"start": 1533.87, "end": 1533.99, "word": " third,", "probability": 0.92578125}, {"start": 1534.07, "end": 1534.25, "word": " one", "probability": 0.869140625}, {"start": 1534.25, "end": 1534.39, "word": " comes", "probability": 0.88818359375}, {"start": 1534.39, "end": 1534.45, "word": " at", "probability": 0.728515625}, {"start": 1534.45, "end": 1534.75, "word": " eleven", "probability": 0.83154296875}, {"start": 1534.75, "end": 1534.93, "word": " and", "probability": 0.473876953125}, {"start": 1534.93, "end": 1535.17, "word": " ..", "probability": 0.200927734375}, {"start": 1535.17, "end": 1535.43, "word": " In", "probability": 0.2091064453125}, {"start": 1535.43, "end": 1535.55, "word": " the", "probability": 0.90283203125}, {"start": 1535.55, "end": 1535.65, "word": " end,", "probability": 0.9189453125}, {"start": 1535.73, "end": 1535.85, "word": " this", "probability": 0.60302734375}, {"start": 1535.85, "end": 1536.05, "word": " is", "probability": 0.36328125}, {"start": 1536.05, "end": 1536.35, "word": " not", "probability": 0.73876953125}, {"start": 1536.35, "end": 1536.45, "word": " a", "probability": 0.91259765625}, {"start": 1536.45, "end": 1536.61, "word": " trip", "probability": 0.7275390625}, {"start": 1536.61, "end": 1536.79, "word": " because", "probability": 0.499267578125}, {"start": 1536.79, "end": 1536.93, "word": " they", "probability": 0.89501953125}, {"start": 1536.93, "end": 1537.05, "word": " will", "probability": 0.775390625}, {"start": 1537.05, "end": 1537.21, "word": " not", "probability": 0.880859375}, {"start": 1537.21, "end": 1537.59, "word": " meet", "probability": 0.95068359375}, {"start": 1537.59, "end": 1537.71, "word": " and", "probability": 0.69287109375}, {"start": 1537.71, "end": 1538.11, "word": " gather", "probability": 0.41162109375}, {"start": 1538.11, "end": 1539.15, "word": " together", "probability": 0.7548828125}, {"start": 1539.15, "end": 1539.39, "word": " at", "probability": 0.947265625}, {"start": 1539.39, "end": 1539.65, "word": " the", "probability": 0.9287109375}, {"start": 1539.65, "end": 1539.65, "word": " same", "probability": 0.91943359375}, {"start": 1539.65, "end": 1540.13, "word": " time", "probability": 0.89453125}, {"start": 1540.13, "end": 1540.59, "word": " so", "probability": 0.205810546875}, {"start": 1540.59, "end": 1541.41, "word": " that", "probability": 0.85009765625}, {"start": 1541.41, "end": 1541.71, "word": " later", "probability": 0.342529296875}, {"start": 1541.71, "end": 1541.95, "word": " they", "probability": 0.77490234375}, {"start": 1541.95, "end": 1542.07, "word": " can", "probability": 0.403076171875}, {"start": 1542.07, "end": 1542.39, "word": " go", "probability": 0.7900390625}, {"start": 1542.39, "end": 1542.57, "word": " on", "probability": 0.8369140625}, {"start": 1542.57, "end": 1542.67, "word": " their", "probability": 0.7939453125}, {"start": 1542.67, "end": 1543.03, "word": " trip", "probability": 0.7998046875}, {"start": 1543.03, "end": 1543.55, "word": " And", "probability": 0.29931640625}, {"start": 1543.55, "end": 1543.81, "word": " also", "probability": 0.5673828125}, {"start": 1543.81, "end": 1544.19, "word": " things", "probability": 0.12274169921875}, {"start": 1544.19, "end": 1544.45, "word": " started", "probability": 0.45751953125}, {"start": 1544.45, "end": 1545.35, "word": " at", "probability": 0.78125}, {"start": 1545.35, "end": 1545.53, "word": " a", "probability": 0.9619140625}, {"start": 1545.53, "end": 1546.13, "word": " certain", "probability": 0.767578125}, {"start": 1546.13, "end": 1546.31, "word": " moment", "probability": 0.587890625}, {"start": 1546.31, "end": 1546.59, "word": " from", "probability": 0.6025390625}, {"start": 1546.59, "end": 1546.73, "word": " a", "probability": 0.85693359375}, {"start": 1546.73, "end": 1546.95, "word": " point", "probability": 0.7998046875}, {"start": 1546.95, "end": 1547.15, "word": " from", "probability": 0.29150390625}, {"start": 1547.15, "end": 1547.27, "word": " the", "probability": 0.89111328125}, {"start": 1547.27, "end": 1547.59, "word": " object", "probability": 0.9658203125}], "temperature": 1.0}, {"id": 67, "seek": 157317, "start": 1547.99, "end": 1573.17, "text": "Lazim غالبا تصل في نفس اللحظة ل ال image point ل ال image point اذا انطلقت في نفس اللحظة من A لازم تصل في نفس ال .. او .. او .. تصل في نفس المدة الزمنية ل A شرطة اللي هي سورة A طب كيف هذا بده يتوفر .. كيف هذا بده يتوفر اذا كان انا عندي في مصار للضوء ل بعض او لحزمة شعاعية انطلقت عبر ممر الأول", "tokens": [43, 921, 332, 32771, 6027, 3555, 995, 6055, 36520, 8978, 8717, 36178, 13672, 5016, 19913, 3660, 5296, 2423, 3256, 935, 5296, 2423, 3256, 935, 1975, 15730, 16472, 9566, 1211, 38149, 8978, 8717, 36178, 13672, 5016, 19913, 3660, 9154, 316, 5296, 31377, 2304, 6055, 36520, 8978, 8717, 36178, 2423, 4386, 1975, 2407, 4386, 1975, 2407, 4386, 6055, 36520, 8978, 8717, 36178, 9673, 41891, 6024, 110, 27842, 10632, 5296, 316, 13412, 2288, 9566, 3660, 13672, 1829, 39896, 8608, 13063, 3660, 316, 23032, 3555, 9122, 33911, 23758, 47525, 3224, 7251, 2655, 38688, 2288, 4386, 9122, 33911, 23758, 47525, 3224, 7251, 2655, 38688, 2288, 1975, 15730, 25961, 1975, 8315, 18871, 16254, 8978, 3714, 9381, 9640, 24976, 11242, 2407, 38207, 5296, 45030, 11242, 1975, 2407, 5296, 5016, 11622, 46007, 13412, 3615, 45761, 10632, 16472, 9566, 1211, 38149, 6225, 26890, 3714, 29973, 16247, 12610], "avg_logprob": -0.17344873478944353, "compression_ratio": 2.0, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1547.99, "end": 1548.61, "word": "Lazim", "probability": 0.5950113932291666}, {"start": 1548.61, "end": 1549.79, "word": " غالبا", "probability": 0.7480545043945312}, {"start": 1549.79, "end": 1550.13, "word": " تصل", "probability": 0.782470703125}, {"start": 1550.13, "end": 1550.29, "word": " في", "probability": 0.8642578125}, {"start": 1550.29, "end": 1550.51, "word": " نفس", "probability": 0.993896484375}, {"start": 1550.51, "end": 1551.21, "word": " اللحظة", "probability": 0.98876953125}, {"start": 1551.21, "end": 1551.59, "word": " ل", "probability": 0.36376953125}, {"start": 1551.59, "end": 1551.75, "word": " ال", "probability": 0.427734375}, {"start": 1551.75, "end": 1552.11, "word": " image", "probability": 0.92138671875}, {"start": 1552.11, "end": 1552.45, "word": " point", "probability": 0.97802734375}, {"start": 1552.45, "end": 1552.61, "word": " ل", "probability": 0.4765625}, {"start": 1552.61, "end": 1552.73, "word": " ال", "probability": 0.9560546875}, {"start": 1552.73, "end": 1552.97, "word": " image", "probability": 0.91943359375}, {"start": 1552.97, "end": 1553.27, "word": " point", "probability": 0.98583984375}, {"start": 1553.27, "end": 1553.75, "word": " اذا", "probability": 0.6202392578125}, {"start": 1553.75, "end": 1554.25, "word": " انطلقت", "probability": 0.975341796875}, {"start": 1554.25, "end": 1554.39, "word": " في", "probability": 0.96630859375}, {"start": 1554.39, "end": 1554.59, "word": " نفس", "probability": 0.994873046875}, {"start": 1554.59, "end": 1555.03, "word": " اللحظة", "probability": 0.995361328125}, {"start": 1555.03, "end": 1555.23, "word": " من", "probability": 0.99169921875}, {"start": 1555.23, "end": 1555.45, "word": " A", "probability": 0.359375}, {"start": 1555.45, "end": 1555.87, "word": " لازم", "probability": 0.939453125}, {"start": 1555.87, "end": 1556.93, "word": " تصل", "probability": 0.862060546875}, {"start": 1556.93, "end": 1557.07, "word": " في", "probability": 0.9482421875}, {"start": 1557.07, "end": 1557.35, "word": " نفس", "probability": 0.992431640625}, {"start": 1557.35, "end": 1557.55, "word": " ال", "probability": 0.7314453125}, {"start": 1557.55, "end": 1557.79, "word": " ..", "probability": 0.8671875}, {"start": 1557.79, "end": 1557.95, "word": " او", "probability": 0.917724609375}, {"start": 1557.95, "end": 1558.05, "word": " ..", "probability": 0.63671875}, {"start": 1558.05, "end": 1558.25, "word": " او", "probability": 0.95751953125}, {"start": 1558.25, "end": 1558.33, "word": " ..", "probability": 0.47900390625}, {"start": 1558.33, "end": 1558.61, "word": " تصل", "probability": 0.974853515625}, {"start": 1558.61, "end": 1558.75, "word": " في", "probability": 0.97216796875}, {"start": 1558.75, "end": 1558.97, "word": " نفس", "probability": 0.998046875}, {"start": 1558.97, "end": 1559.47, "word": " المدة", "probability": 0.852294921875}, {"start": 1559.47, "end": 1560.65, "word": " الزمنية", "probability": 0.89501953125}, {"start": 1560.65, "end": 1560.87, "word": " ل", "probability": 0.96435546875}, {"start": 1560.87, "end": 1561.09, "word": " A", "probability": 0.88330078125}, {"start": 1561.09, "end": 1561.55, "word": " شرطة", "probability": 0.8353271484375}, {"start": 1561.55, "end": 1561.65, "word": " اللي", "probability": 0.905029296875}, {"start": 1561.65, "end": 1561.85, "word": " هي", "probability": 0.8046875}, {"start": 1561.85, "end": 1562.35, "word": " سورة", "probability": 0.8592122395833334}, {"start": 1562.35, "end": 1562.75, "word": " A", "probability": 0.94775390625}, {"start": 1562.75, "end": 1563.11, "word": " طب", "probability": 0.935546875}, {"start": 1563.11, "end": 1563.65, "word": " كيف", "probability": 0.91552734375}, {"start": 1563.65, "end": 1563.83, "word": " هذا", "probability": 0.6796875}, {"start": 1563.83, "end": 1564.09, "word": " بده", "probability": 0.904541015625}, {"start": 1564.09, "end": 1564.73, "word": " يتوفر", "probability": 0.9910888671875}, {"start": 1564.73, "end": 1565.05, "word": " ..", "probability": 0.54052734375}, {"start": 1565.05, "end": 1565.33, "word": " كيف", "probability": 0.920166015625}, {"start": 1565.33, "end": 1565.55, "word": " هذا", "probability": 0.98876953125}, {"start": 1565.55, "end": 1565.81, "word": " بده", "probability": 0.974853515625}, {"start": 1565.81, "end": 1566.63, "word": " يتوفر", "probability": 0.9959716796875}, {"start": 1566.63, "end": 1567.15, "word": " اذا", "probability": 0.7578125}, {"start": 1567.15, "end": 1567.41, "word": " كان", "probability": 0.9814453125}, {"start": 1567.41, "end": 1567.61, "word": " انا", "probability": 0.80810546875}, {"start": 1567.61, "end": 1567.91, "word": " عندي", "probability": 0.769775390625}, {"start": 1567.91, "end": 1568.07, "word": " في", "probability": 0.85107421875}, {"start": 1568.07, "end": 1568.57, "word": " مصار", "probability": 0.8351236979166666}, {"start": 1568.57, "end": 1569.15, "word": " للضوء", "probability": 0.8995361328125}, {"start": 1569.15, "end": 1569.35, "word": " ل", "probability": 0.91064453125}, {"start": 1569.35, "end": 1569.61, "word": " بعض", "probability": 0.836669921875}, {"start": 1569.61, "end": 1569.75, "word": " او", "probability": 0.90625}, {"start": 1569.75, "end": 1570.23, "word": " لحزمة", "probability": 0.9212646484375}, {"start": 1570.23, "end": 1570.99, "word": " شعاعية", "probability": 0.86138916015625}, {"start": 1570.99, "end": 1571.95, "word": " انطلقت", "probability": 0.972900390625}, {"start": 1571.95, "end": 1572.23, "word": " عبر", "probability": 0.9951171875}, {"start": 1572.23, "end": 1572.63, "word": " ممر", "probability": 0.964111328125}, {"start": 1572.63, "end": 1573.17, "word": " الأول", "probability": 0.906982421875}], "temperature": 1.0}, {"id": 68, "seek": 159191, "start": 1574.01, "end": 1591.91, "text": "و مسافتها أقصر و الحزمة الشععية التانية طلقت عبر الممر التاني و مسافتها أطول كده دم يصلوا في نفس الميعاد بنقول أه، الان صحيح ال path one أقصر ولكن هيعدي من منطقة سميكة من الزجاج فهيتأخر لإن الضوء في الزجاج بيكون أبطأ", "tokens": [2407, 47524, 31845, 2655, 11296, 5551, 4587, 9381, 2288, 4032, 21542, 11622, 46007, 25124, 3615, 3615, 10632, 16712, 7649, 10632, 23032, 1211, 38149, 6225, 26890, 9673, 29973, 16712, 7649, 1829, 4032, 47524, 31845, 2655, 11296, 5551, 9566, 12610, 9122, 3215, 3224, 11778, 2304, 7251, 36520, 14407, 8978, 8717, 36178, 9673, 40228, 18513, 44945, 39648, 5551, 3224, 12399, 2423, 7649, 20328, 5016, 1829, 5016, 2423, 3100, 472, 5551, 4587, 9381, 2288, 35525, 19452, 39896, 3615, 16254, 9154, 9154, 9566, 28671, 8608, 2304, 1829, 4117, 3660, 9154, 6024, 110, 7435, 26108, 6156, 3224, 36081, 10721, 34740, 5296, 28814, 1863, 6024, 114, 2407, 38207, 8978, 6024, 110, 7435, 26108, 4724, 1829, 30544, 5551, 3555, 9566, 10721], "avg_logprob": -0.1747532913036514, "compression_ratio": 1.8285714285714285, "no_speech_prob": 1.6093254089355469e-06, "words": [{"start": 1574.01, "end": 1574.37, "word": "و", "probability": 0.52587890625}, {"start": 1574.37, "end": 1575.39, "word": " مسافتها", "probability": 0.82794189453125}, {"start": 1575.39, "end": 1575.85, "word": " أقصر", "probability": 0.9039306640625}, {"start": 1575.85, "end": 1576.41, "word": " و", "probability": 0.9453125}, {"start": 1576.41, "end": 1577.29, "word": " الحزمة", "probability": 0.85546875}, {"start": 1577.29, "end": 1577.83, "word": " الشععية", "probability": 0.73236083984375}, {"start": 1577.83, "end": 1578.15, "word": " التانية", "probability": 0.8857421875}, {"start": 1578.15, "end": 1578.55, "word": " طلقت", "probability": 0.7303059895833334}, {"start": 1578.55, "end": 1578.79, "word": " عبر", "probability": 0.982177734375}, {"start": 1578.79, "end": 1579.09, "word": " الممر", "probability": 0.936279296875}, {"start": 1579.09, "end": 1579.45, "word": " التاني", "probability": 0.8623046875}, {"start": 1579.45, "end": 1579.55, "word": " و", "probability": 0.9951171875}, {"start": 1579.55, "end": 1580.03, "word": " مسافتها", "probability": 0.9801025390625}, {"start": 1580.03, "end": 1580.31, "word": " أطول", "probability": 0.9874674479166666}, {"start": 1580.31, "end": 1580.57, "word": " كده", "probability": 0.8111979166666666}, {"start": 1580.57, "end": 1580.71, "word": " دم", "probability": 0.50360107421875}, {"start": 1580.71, "end": 1581.03, "word": " يصلوا", "probability": 0.98095703125}, {"start": 1581.03, "end": 1581.15, "word": " في", "probability": 0.94775390625}, {"start": 1581.15, "end": 1581.41, "word": " نفس", "probability": 0.996826171875}, {"start": 1581.41, "end": 1582.23, "word": " الميعاد", "probability": 0.7744140625}, {"start": 1582.23, "end": 1582.55, "word": " بنقول", "probability": 0.775390625}, {"start": 1582.55, "end": 1583.13, "word": " أه،", "probability": 0.6471354166666666}, {"start": 1583.13, "end": 1583.45, "word": " الان", "probability": 0.5897216796875}, {"start": 1583.45, "end": 1583.87, "word": " صحيح", "probability": 0.9971923828125}, {"start": 1583.87, "end": 1584.03, "word": " ال", "probability": 0.9462890625}, {"start": 1584.03, "end": 1584.31, "word": " path", "probability": 0.7666015625}, {"start": 1584.31, "end": 1584.61, "word": " one", "probability": 0.78271484375}, {"start": 1584.61, "end": 1585.27, "word": " أقصر", "probability": 0.986083984375}, {"start": 1585.27, "end": 1585.91, "word": " ولكن", "probability": 0.769775390625}, {"start": 1585.91, "end": 1586.75, "word": " هيعدي", "probability": 0.6742350260416666}, {"start": 1586.75, "end": 1586.89, "word": " من", "probability": 0.99755859375}, {"start": 1586.89, "end": 1587.37, "word": " منطقة", "probability": 0.9259440104166666}, {"start": 1587.37, "end": 1587.91, "word": " سميكة", "probability": 0.93076171875}, {"start": 1587.91, "end": 1588.09, "word": " من", "probability": 0.9931640625}, {"start": 1588.09, "end": 1588.57, "word": " الزجاج", "probability": 0.9158935546875}, {"start": 1588.57, "end": 1589.43, "word": " فهيتأخر", "probability": 0.96748046875}, {"start": 1589.43, "end": 1589.95, "word": " لإن", "probability": 0.8896484375}, {"start": 1589.95, "end": 1590.35, "word": " الضوء", "probability": 0.78997802734375}, {"start": 1590.35, "end": 1590.45, "word": " في", "probability": 0.9736328125}, {"start": 1590.45, "end": 1590.87, "word": " الزجاج", "probability": 0.971923828125}, {"start": 1590.87, "end": 1591.31, "word": " بيكون", "probability": 0.8328450520833334}, {"start": 1591.31, "end": 1591.91, "word": " أبطأ", "probability": 0.91064453125}], "temperature": 1.0}, {"id": 69, "seek": 161763, "start": 1592.09, "end": 1617.63, "text": "while the path to .. the path to .. its distance is longer but it will pass through less glass and therefore it will be slower and therefore they will connect together here .. here there is a very important point what is this point? the point says that the surface of the lens or the surface of the optical system must be formed so that the path ..", "tokens": [7723, 264, 3100, 281, 4386, 264, 3100, 281, 4386, 1080, 4560, 307, 2854, 457, 309, 486, 1320, 807, 1570, 4276, 293, 4412, 309, 486, 312, 14009, 293, 4412, 436, 486, 1745, 1214, 510, 4386, 510, 456, 307, 257, 588, 1021, 935, 437, 307, 341, 935, 30, 264, 935, 1619, 300, 264, 3753, 295, 264, 6765, 420, 264, 3753, 295, 264, 20674, 1185, 1633, 312, 8693, 370, 300, 264, 3100, 4386], "avg_logprob": -0.43287852700327484, "compression_ratio": 1.851063829787234, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1592.09, "end": 1592.59, "word": "while", "probability": 0.50927734375}, {"start": 1592.59, "end": 1593.31, "word": " the", "probability": 0.50244140625}, {"start": 1593.31, "end": 1593.63, "word": " path", "probability": 0.708984375}, {"start": 1593.63, "end": 1593.89, "word": " to", "probability": 0.8447265625}, {"start": 1593.89, "end": 1594.31, "word": " ..", "probability": 0.470947265625}, {"start": 1594.31, "end": 1594.53, "word": " the", "probability": 0.66845703125}, {"start": 1594.53, "end": 1594.79, "word": " path", "probability": 0.95849609375}, {"start": 1594.79, "end": 1595.09, "word": " to", "probability": 0.9814453125}, {"start": 1595.09, "end": 1595.97, "word": " ..", "probability": 0.52978515625}, {"start": 1595.97, "end": 1596.29, "word": " its", "probability": 0.261474609375}, {"start": 1596.29, "end": 1596.59, "word": " distance", "probability": 0.48046875}, {"start": 1596.59, "end": 1596.79, "word": " is", "probability": 0.8896484375}, {"start": 1596.79, "end": 1597.01, "word": " longer", "probability": 0.91162109375}, {"start": 1597.01, "end": 1597.31, "word": " but", "probability": 0.677734375}, {"start": 1597.31, "end": 1597.49, "word": " it", "probability": 0.7255859375}, {"start": 1597.49, "end": 1597.53, "word": " will", "probability": 0.5048828125}, {"start": 1597.53, "end": 1597.83, "word": " pass", "probability": 0.4658203125}, {"start": 1597.83, "end": 1598.17, "word": " through", "probability": 0.84130859375}, {"start": 1598.17, "end": 1598.91, "word": " less", "probability": 0.2435302734375}, {"start": 1598.91, "end": 1599.63, "word": " glass", "probability": 0.469970703125}, {"start": 1599.63, "end": 1599.83, "word": " and", "probability": 0.29443359375}, {"start": 1599.83, "end": 1600.57, "word": " therefore", "probability": 0.3203125}, {"start": 1600.57, "end": 1600.69, "word": " it", "probability": 0.7890625}, {"start": 1600.69, "end": 1600.89, "word": " will", "probability": 0.80419921875}, {"start": 1600.89, "end": 1601.19, "word": " be", "probability": 0.7236328125}, {"start": 1601.19, "end": 1601.99, "word": " slower", "probability": 0.1739501953125}, {"start": 1601.99, "end": 1602.19, "word": " and", "probability": 0.45947265625}, {"start": 1602.19, "end": 1602.61, "word": " therefore", "probability": 0.48974609375}, {"start": 1602.61, "end": 1603.35, "word": " they", "probability": 0.7890625}, {"start": 1603.35, "end": 1604.85, "word": " will", "probability": 0.83984375}, {"start": 1604.85, "end": 1605.07, "word": " connect", "probability": 0.346435546875}, {"start": 1605.07, "end": 1605.63, "word": " together", "probability": 0.457275390625}, {"start": 1605.63, "end": 1606.21, "word": " here", "probability": 0.43994140625}, {"start": 1606.21, "end": 1606.49, "word": " ..", "probability": 0.728515625}, {"start": 1606.49, "end": 1606.83, "word": " here", "probability": 0.81640625}, {"start": 1606.83, "end": 1607.37, "word": " there", "probability": 0.6171875}, {"start": 1607.37, "end": 1607.43, "word": " is", "probability": 0.84521484375}, {"start": 1607.43, "end": 1607.91, "word": " a", "probability": 0.939453125}, {"start": 1607.91, "end": 1608.05, "word": " very", "probability": 0.57275390625}, {"start": 1608.05, "end": 1609.11, "word": " important", "probability": 0.84375}, {"start": 1609.11, "end": 1609.21, "word": " point", "probability": 0.9521484375}, {"start": 1609.21, "end": 1609.57, "word": " what", "probability": 0.47998046875}, {"start": 1609.57, "end": 1609.77, "word": " is", "probability": 0.9169921875}, {"start": 1609.77, "end": 1610.05, "word": " this", "probability": 0.90087890625}, {"start": 1610.05, "end": 1610.35, "word": " point?", "probability": 0.94677734375}, {"start": 1610.73, "end": 1610.93, "word": " the", "probability": 0.460205078125}, {"start": 1610.93, "end": 1611.21, "word": " point", "probability": 0.9658203125}, {"start": 1611.21, "end": 1611.67, "word": " says", "probability": 0.65185546875}, {"start": 1611.67, "end": 1612.01, "word": " that", "probability": 0.8896484375}, {"start": 1612.01, "end": 1613.55, "word": " the", "probability": 0.67626953125}, {"start": 1613.55, "end": 1613.85, "word": " surface", "probability": 0.51708984375}, {"start": 1613.85, "end": 1614.03, "word": " of", "probability": 0.923828125}, {"start": 1614.03, "end": 1614.11, "word": " the", "probability": 0.89892578125}, {"start": 1614.11, "end": 1614.37, "word": " lens", "probability": 0.77294921875}, {"start": 1614.37, "end": 1614.59, "word": " or", "probability": 0.49853515625}, {"start": 1614.59, "end": 1614.77, "word": " the", "probability": 0.87353515625}, {"start": 1614.77, "end": 1614.87, "word": " surface", "probability": 0.61279296875}, {"start": 1614.87, "end": 1615.03, "word": " of", "probability": 0.9697265625}, {"start": 1615.03, "end": 1615.09, "word": " the", "probability": 0.90234375}, {"start": 1615.09, "end": 1615.37, "word": " optical", "probability": 0.97119140625}, {"start": 1615.37, "end": 1616.01, "word": " system", "probability": 0.951171875}, {"start": 1616.01, "end": 1616.01, "word": " must", "probability": 0.6318359375}, {"start": 1616.01, "end": 1616.01, "word": " be", "probability": 0.71337890625}, {"start": 1616.01, "end": 1616.01, "word": " formed", "probability": 0.7470703125}, {"start": 1616.01, "end": 1616.43, "word": " so", "probability": 0.52099609375}, {"start": 1616.43, "end": 1616.85, "word": " that", "probability": 0.939453125}, {"start": 1616.85, "end": 1616.99, "word": " the", "probability": 0.861328125}, {"start": 1616.99, "end": 1617.39, "word": " path", "probability": 0.7919921875}, {"start": 1617.39, "end": 1617.63, "word": " ..", "probability": 0.6953125}], "temperature": 1.0}, {"id": 70, "seek": 163592, "start": 1619.26, "end": 1635.92, "text": "one zamanian و المصار اتنين زمانيا و المصار تلاتة زمانيا و المصار اربعة زمانيا يكونوا متكافئين او متساوين بحيث انه الأشعة بغض النظر عدت من اي منطقة من ال optical system او من العدسة يكون ال optical path length بتاعك", "tokens": [546, 12180, 952, 4032, 9673, 9381, 9640, 1975, 2655, 1863, 9957, 30767, 2304, 7649, 25528, 4032, 9673, 9381, 9640, 6055, 1211, 9307, 3660, 30767, 2304, 7649, 25528, 4032, 9673, 9381, 9640, 1975, 25513, 27884, 30767, 2304, 7649, 25528, 7251, 30544, 14407, 44650, 4117, 31845, 19986, 9957, 1975, 2407, 44650, 3794, 995, 2407, 9957, 4724, 5016, 1829, 12984, 16472, 3224, 16247, 8592, 27884, 4724, 17082, 11242, 28239, 19913, 2288, 6225, 3215, 2655, 9154, 1975, 1829, 9154, 9566, 28671, 9154, 2423, 20674, 1185, 1975, 2407, 9154, 18863, 3215, 3794, 3660, 7251, 30544, 2423, 20674, 3100, 4641, 39894, 45761, 4117], "avg_logprob": -0.12595663462974588, "compression_ratio": 1.8229166666666667, "no_speech_prob": 4.0531158447265625e-06, "words": [{"start": 1619.26, "end": 1619.62, "word": "one", "probability": 0.5263671875}, {"start": 1619.62, "end": 1620.36, "word": " zamanian", "probability": 0.5677490234375}, {"start": 1620.36, "end": 1620.46, "word": " و", "probability": 0.5859375}, {"start": 1620.46, "end": 1620.86, "word": " المصار", "probability": 0.77392578125}, {"start": 1620.86, "end": 1621.22, "word": " اتنين", "probability": 0.901611328125}, {"start": 1621.22, "end": 1621.7, "word": " زمانيا", "probability": 0.818359375}, {"start": 1621.7, "end": 1621.82, "word": " و", "probability": 0.923828125}, {"start": 1621.82, "end": 1622.2, "word": " المصار", "probability": 0.978515625}, {"start": 1622.2, "end": 1622.64, "word": " تلاتة", "probability": 0.9326171875}, {"start": 1622.64, "end": 1623.1, "word": " زمانيا", "probability": 0.954833984375}, {"start": 1623.1, "end": 1623.22, "word": " و", "probability": 0.994140625}, {"start": 1623.22, "end": 1623.6, "word": " المصار", "probability": 0.97998046875}, {"start": 1623.6, "end": 1624.02, "word": " اربعة", "probability": 0.77783203125}, {"start": 1624.02, "end": 1624.58, "word": " زمانيا", "probability": 0.9639892578125}, {"start": 1624.58, "end": 1625.52, "word": " يكونوا", "probability": 0.8689778645833334}, {"start": 1625.52, "end": 1626.42, "word": " متكافئين", "probability": 0.97216796875}, {"start": 1626.42, "end": 1626.6, "word": " او", "probability": 0.822998046875}, {"start": 1626.6, "end": 1627.22, "word": " متساوين", "probability": 0.93837890625}, {"start": 1627.22, "end": 1627.56, "word": " بحيث", "probability": 0.9844970703125}, {"start": 1627.56, "end": 1627.74, "word": " انه", "probability": 0.631591796875}, {"start": 1627.74, "end": 1628.24, "word": " الأشعة", "probability": 0.8248697916666666}, {"start": 1628.24, "end": 1629.52, "word": " بغض", "probability": 0.8868815104166666}, {"start": 1629.52, "end": 1629.98, "word": " النظر", "probability": 0.9905598958333334}, {"start": 1629.98, "end": 1630.38, "word": " عدت", "probability": 0.9501953125}, {"start": 1630.38, "end": 1630.54, "word": " من", "probability": 0.984375}, {"start": 1630.54, "end": 1630.9, "word": " اي", "probability": 0.800048828125}, {"start": 1630.9, "end": 1631.56, "word": " منطقة", "probability": 0.943359375}, {"start": 1631.56, "end": 1631.76, "word": " من", "probability": 0.978515625}, {"start": 1631.76, "end": 1631.86, "word": " ال", "probability": 0.9755859375}, {"start": 1631.86, "end": 1632.2, "word": " optical", "probability": 0.93359375}, {"start": 1632.2, "end": 1632.7, "word": " system", "probability": 0.96533203125}, {"start": 1632.7, "end": 1632.86, "word": " او", "probability": 0.91796875}, {"start": 1632.86, "end": 1632.96, "word": " من", "probability": 0.84375}, {"start": 1632.96, "end": 1633.48, "word": " العدسة", "probability": 0.9814453125}, {"start": 1633.48, "end": 1634.16, "word": " يكون", "probability": 0.948486328125}, {"start": 1634.16, "end": 1634.3, "word": " ال", "probability": 0.990234375}, {"start": 1634.3, "end": 1634.74, "word": " optical", "probability": 0.96875}, {"start": 1634.74, "end": 1635.18, "word": " path", "probability": 0.962890625}, {"start": 1635.18, "end": 1635.56, "word": " length", "probability": 0.798828125}, {"start": 1635.56, "end": 1635.92, "word": " بتاعك", "probability": 0.802734375}], "temperature": 1.0}, {"id": 71, "seek": 165549, "start": 1636.03, "end": 1655.49, "text": "one is equal to the optical path length of two is equal to three to four to five to six and so on. Why? So that the rays can connect with each other, so that the image can be formed in a correct and correct way, and there is no delay in one beam of light from another beam of light. And this is what we read.", "tokens": [546, 307, 2681, 281, 264, 20674, 3100, 4641, 295, 732, 307, 2681, 281, 1045, 281, 1451, 281, 1732, 281, 2309, 293, 370, 322, 13, 1545, 30, 407, 300, 264, 24417, 393, 1745, 365, 1184, 661, 11, 370, 300, 264, 3256, 393, 312, 8693, 294, 257, 3006, 293, 3006, 636, 11, 293, 456, 307, 572, 8577, 294, 472, 14269, 295, 1442, 490, 1071, 14269, 295, 1442, 13, 400, 341, 307, 437, 321, 1401, 13], "avg_logprob": -0.5063344683196094, "compression_ratio": 1.6830601092896176, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 1636.03, "end": 1636.47, "word": "one", "probability": 0.54833984375}, {"start": 1636.47, "end": 1636.89, "word": " is", "probability": 0.257080078125}, {"start": 1636.89, "end": 1637.13, "word": " equal", "probability": 0.64306640625}, {"start": 1637.13, "end": 1637.33, "word": " to", "probability": 0.9599609375}, {"start": 1637.33, "end": 1637.39, "word": " the", "probability": 0.466064453125}, {"start": 1637.39, "end": 1637.71, "word": " optical", "probability": 0.7314453125}, {"start": 1637.71, "end": 1638.07, "word": " path", "probability": 0.94580078125}, {"start": 1638.07, "end": 1638.35, "word": " length", "probability": 0.8076171875}, {"start": 1638.35, "end": 1638.57, "word": " of", "probability": 0.857421875}, {"start": 1638.57, "end": 1638.85, "word": " two", "probability": 0.87646484375}, {"start": 1638.85, "end": 1639.37, "word": " is", "probability": 0.281005859375}, {"start": 1639.37, "end": 1639.63, "word": " equal", "probability": 0.888671875}, {"start": 1639.63, "end": 1639.75, "word": " to", "probability": 0.970703125}, {"start": 1639.75, "end": 1640.19, "word": " three", "probability": 0.73046875}, {"start": 1640.19, "end": 1640.45, "word": " to", "probability": 0.461181640625}, {"start": 1640.45, "end": 1640.83, "word": " four", "probability": 0.9267578125}, {"start": 1640.83, "end": 1641.01, "word": " to", "probability": 0.89501953125}, {"start": 1641.01, "end": 1641.37, "word": " five", "probability": 0.90869140625}, {"start": 1641.37, "end": 1641.59, "word": " to", "probability": 0.935546875}, {"start": 1641.59, "end": 1641.89, "word": " six", "probability": 0.9453125}, {"start": 1641.89, "end": 1642.07, "word": " and", "probability": 0.31640625}, {"start": 1642.07, "end": 1642.29, "word": " so", "probability": 0.8642578125}, {"start": 1642.29, "end": 1642.57, "word": " on.", "probability": 0.8330078125}, {"start": 1643.03, "end": 1643.23, "word": " Why?", "probability": 0.68359375}, {"start": 1643.31, "end": 1643.63, "word": " So", "probability": 0.427734375}, {"start": 1643.63, "end": 1644.05, "word": " that", "probability": 0.7216796875}, {"start": 1644.05, "end": 1644.09, "word": " the", "probability": 0.62109375}, {"start": 1644.09, "end": 1644.45, "word": " rays", "probability": 0.61767578125}, {"start": 1644.45, "end": 1644.55, "word": " can", "probability": 0.380615234375}, {"start": 1644.55, "end": 1644.55, "word": " connect", "probability": 0.64599609375}, {"start": 1644.55, "end": 1644.71, "word": " with", "probability": 0.296875}, {"start": 1644.71, "end": 1645.07, "word": " each", "probability": 0.892578125}, {"start": 1645.07, "end": 1645.11, "word": " other,", "probability": 0.888671875}, {"start": 1645.27, "end": 1645.39, "word": " so", "probability": 0.724609375}, {"start": 1645.39, "end": 1645.61, "word": " that", "probability": 0.86474609375}, {"start": 1645.61, "end": 1646.13, "word": " the", "probability": 0.78662109375}, {"start": 1646.13, "end": 1646.13, "word": " image", "probability": 0.53466796875}, {"start": 1646.13, "end": 1646.13, "word": " can", "probability": 0.697265625}, {"start": 1646.13, "end": 1646.45, "word": " be", "probability": 0.346923828125}, {"start": 1646.45, "end": 1646.79, "word": " formed", "probability": 0.6484375}, {"start": 1646.79, "end": 1647.25, "word": " in", "probability": 0.32275390625}, {"start": 1647.25, "end": 1648.39, "word": " a", "probability": 0.92529296875}, {"start": 1648.39, "end": 1649.15, "word": " correct", "probability": 0.421875}, {"start": 1649.15, "end": 1649.39, "word": " and", "probability": 0.53369140625}, {"start": 1649.39, "end": 1649.59, "word": " correct", "probability": 0.25048828125}, {"start": 1649.59, "end": 1649.77, "word": " way,", "probability": 0.80224609375}, {"start": 1650.15, "end": 1650.41, "word": " and", "probability": 0.57177734375}, {"start": 1650.41, "end": 1650.59, "word": " there", "probability": 0.323974609375}, {"start": 1650.59, "end": 1650.89, "word": " is", "probability": 0.460205078125}, {"start": 1650.89, "end": 1650.89, "word": " no", "probability": 0.85107421875}, {"start": 1650.89, "end": 1651.41, "word": " delay", "probability": 0.7216796875}, {"start": 1651.41, "end": 1651.59, "word": " in", "probability": 0.304931640625}, {"start": 1651.59, "end": 1651.71, "word": " one", "probability": 0.393798828125}, {"start": 1651.71, "end": 1651.95, "word": " beam", "probability": 0.1387939453125}, {"start": 1651.95, "end": 1652.05, "word": " of", "probability": 0.7314453125}, {"start": 1652.05, "end": 1652.21, "word": " light", "probability": 0.5654296875}, {"start": 1652.21, "end": 1652.71, "word": " from", "probability": 0.73828125}, {"start": 1652.71, "end": 1653.01, "word": " another", "probability": 0.8603515625}, {"start": 1653.01, "end": 1653.17, "word": " beam", "probability": 0.86474609375}, {"start": 1653.17, "end": 1653.27, "word": " of", "probability": 0.9423828125}, {"start": 1653.27, "end": 1653.65, "word": " light.", "probability": 0.86669921875}, {"start": 1654.37, "end": 1654.53, "word": " And", "probability": 0.541015625}, {"start": 1654.53, "end": 1654.69, "word": " this", "probability": 0.57275390625}, {"start": 1654.69, "end": 1654.85, "word": " is", "probability": 0.77734375}, {"start": 1654.85, "end": 1655.01, "word": " what", "probability": 0.61083984375}, {"start": 1655.01, "end": 1655.21, "word": " we", "probability": 0.88623046875}, {"start": 1655.21, "end": 1655.49, "word": " read.", "probability": 0.70263671875}], "temperature": 1.0}, {"id": 72, "seek": 168381, "start": 1655.91, "end": 1683.81, "text": "According to Fermati principle for both paths, path 1 and path 2, to intersect at the image point, time required to travel from object to image point, or alternatively, the optical path lengths must be absolutely identical for each path. In order to form the image, the path must intersect at the first path, consume time, the same time that was consumed in the second path, that is, the optical path lengths, path A or path 1,", "tokens": [47943, 3357, 281, 43261, 6908, 8665, 337, 1293, 14518, 11, 3100, 502, 293, 3100, 568, 11, 281, 27815, 412, 264, 3256, 935, 11, 565, 4739, 281, 3147, 490, 2657, 281, 3256, 935, 11, 420, 8535, 356, 11, 264, 20674, 3100, 26329, 1633, 312, 3122, 14800, 337, 1184, 3100, 13, 682, 1668, 281, 1254, 264, 3256, 11, 264, 3100, 1633, 27815, 412, 264, 700, 3100, 11, 14732, 565, 11, 264, 912, 565, 300, 390, 21226, 294, 264, 1150, 3100, 11, 300, 307, 11, 264, 20674, 3100, 26329, 11, 3100, 316, 420, 3100, 502, 11], "avg_logprob": -0.3949468151686039, "compression_ratio": 1.8728070175438596, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1655.91, "end": 1656.47, "word": "According", "probability": 0.783935546875}, {"start": 1656.47, "end": 1656.67, "word": " to", "probability": 0.97314453125}, {"start": 1656.67, "end": 1657.09, "word": " Fermati", "probability": 0.6798095703125}, {"start": 1657.09, "end": 1657.65, "word": " principle", "probability": 0.716796875}, {"start": 1657.65, "end": 1657.99, "word": " for", "probability": 0.7138671875}, {"start": 1657.99, "end": 1658.33, "word": " both", "probability": 0.88427734375}, {"start": 1658.33, "end": 1658.77, "word": " paths,", "probability": 0.8955078125}, {"start": 1658.97, "end": 1659.17, "word": " path", "probability": 0.76708984375}, {"start": 1659.17, "end": 1659.45, "word": " 1", "probability": 0.50048828125}, {"start": 1659.45, "end": 1659.57, "word": " and", "probability": 0.86328125}, {"start": 1659.57, "end": 1659.79, "word": " path", "probability": 0.95947265625}, {"start": 1659.79, "end": 1660.01, "word": " 2,", "probability": 0.974609375}, {"start": 1660.39, "end": 1660.53, "word": " to", "probability": 0.9404296875}, {"start": 1660.53, "end": 1661.17, "word": " intersect", "probability": 0.9580078125}, {"start": 1661.17, "end": 1661.47, "word": " at", "probability": 0.9658203125}, {"start": 1661.47, "end": 1661.59, "word": " the", "probability": 0.888671875}, {"start": 1661.59, "end": 1661.89, "word": " image", "probability": 0.90673828125}, {"start": 1661.89, "end": 1662.29, "word": " point,", "probability": 0.96142578125}, {"start": 1662.43, "end": 1662.91, "word": " time", "probability": 0.74755859375}, {"start": 1662.91, "end": 1663.43, "word": " required", "probability": 0.8115234375}, {"start": 1663.43, "end": 1663.67, "word": " to", "probability": 0.97265625}, {"start": 1663.67, "end": 1663.97, "word": " travel", "probability": 0.86181640625}, {"start": 1663.97, "end": 1664.29, "word": " from", "probability": 0.88720703125}, {"start": 1664.29, "end": 1664.71, "word": " object", "probability": 0.95068359375}, {"start": 1664.71, "end": 1664.95, "word": " to", "probability": 0.9697265625}, {"start": 1664.95, "end": 1665.27, "word": " image", "probability": 0.91455078125}, {"start": 1665.27, "end": 1665.63, "word": " point,", "probability": 0.97119140625}, {"start": 1666.13, "end": 1666.31, "word": " or", "probability": 0.9326171875}, {"start": 1666.31, "end": 1667.59, "word": " alternatively,", "probability": 0.814697265625}, {"start": 1667.71, "end": 1667.83, "word": " the", "probability": 0.84619140625}, {"start": 1667.83, "end": 1668.25, "word": " optical", "probability": 0.92529296875}, {"start": 1668.25, "end": 1668.57, "word": " path", "probability": 0.93359375}, {"start": 1668.57, "end": 1668.85, "word": " lengths", "probability": 0.57666015625}, {"start": 1668.85, "end": 1669.27, "word": " must", "probability": 0.85205078125}, {"start": 1669.27, "end": 1669.57, "word": " be", "probability": 0.94873046875}, {"start": 1669.57, "end": 1670.21, "word": " absolutely", "probability": 0.7734375}, {"start": 1670.21, "end": 1670.91, "word": " identical", "probability": 0.92431640625}, {"start": 1670.91, "end": 1671.23, "word": " for", "probability": 0.93212890625}, {"start": 1671.23, "end": 1671.51, "word": " each", "probability": 0.94482421875}, {"start": 1671.51, "end": 1671.79, "word": " path.", "probability": 0.92919921875}, {"start": 1672.07, "end": 1672.29, "word": " In", "probability": 0.2015380859375}, {"start": 1672.29, "end": 1672.29, "word": " order", "probability": 0.91455078125}, {"start": 1672.29, "end": 1672.43, "word": " to", "probability": 0.7138671875}, {"start": 1672.43, "end": 1672.83, "word": " form", "probability": 0.3017578125}, {"start": 1672.83, "end": 1673.03, "word": " the", "probability": 0.272216796875}, {"start": 1673.03, "end": 1673.25, "word": " image,", "probability": 0.57861328125}, {"start": 1673.51, "end": 1673.83, "word": " the", "probability": 0.62451171875}, {"start": 1673.83, "end": 1674.11, "word": " path", "probability": 0.492431640625}, {"start": 1674.11, "end": 1674.29, "word": " must", "probability": 0.6435546875}, {"start": 1674.29, "end": 1674.55, "word": " intersect", "probability": 0.267578125}, {"start": 1674.55, "end": 1674.75, "word": " at", "probability": 0.51513671875}, {"start": 1674.75, "end": 1674.83, "word": " the", "probability": 0.720703125}, {"start": 1674.83, "end": 1675.47, "word": " first", "probability": 0.5615234375}, {"start": 1675.47, "end": 1675.47, "word": " path,", "probability": 0.36279296875}, {"start": 1675.81, "end": 1676.29, "word": " consume", "probability": 0.62841796875}, {"start": 1676.29, "end": 1676.73, "word": " time,", "probability": 0.60546875}, {"start": 1677.03, "end": 1677.23, "word": " the", "probability": 0.284423828125}, {"start": 1677.23, "end": 1677.37, "word": " same", "probability": 0.86328125}, {"start": 1677.37, "end": 1677.79, "word": " time", "probability": 0.74365234375}, {"start": 1677.79, "end": 1677.93, "word": " that", "probability": 0.283203125}, {"start": 1677.93, "end": 1678.05, "word": " was", "probability": 0.40234375}, {"start": 1678.05, "end": 1678.37, "word": " consumed", "probability": 0.75048828125}, {"start": 1678.37, "end": 1678.61, "word": " in", "probability": 0.509765625}, {"start": 1678.61, "end": 1679.43, "word": " the", "probability": 0.88720703125}, {"start": 1679.43, "end": 1679.43, "word": " second", "probability": 0.779296875}, {"start": 1679.43, "end": 1679.43, "word": " path,", "probability": 0.9208984375}, {"start": 1679.51, "end": 1680.37, "word": " that", "probability": 0.2376708984375}, {"start": 1680.37, "end": 1680.39, "word": " is,", "probability": 0.86962890625}, {"start": 1680.47, "end": 1680.65, "word": " the", "probability": 0.82763671875}, {"start": 1680.65, "end": 1680.99, "word": " optical", "probability": 0.84130859375}, {"start": 1680.99, "end": 1681.39, "word": " path", "probability": 0.9375}, {"start": 1681.39, "end": 1681.63, "word": " lengths,", "probability": 0.65380859375}, {"start": 1681.85, "end": 1682.01, "word": " path", "probability": 0.240478515625}, {"start": 1682.01, "end": 1682.49, "word": " A", "probability": 0.734375}, {"start": 1682.49, "end": 1683.17, "word": " or", "probability": 0.6455078125}, {"start": 1683.17, "end": 1683.43, "word": " path", "probability": 0.8515625}, {"start": 1683.43, "end": 1683.81, "word": " 1,", "probability": 0.85498046875}], "temperature": 1.0}, {"id": 73, "seek": 171186, "start": 1684.64, "end": 1711.86, "text": "optical path length on path 2 if the time required for light to travel along each path path is not exactly identical the path will not intersect at the image point light traveling path 1 from object to image point traverses relatively thick part of the lens which is the light that travels through path 1", "tokens": [5747, 804, 3100, 4641, 322, 3100, 568, 498, 264, 565, 4739, 337, 1442, 281, 3147, 2051, 1184, 3100, 3100, 307, 406, 2293, 14800, 264, 3100, 486, 406, 27815, 412, 264, 3256, 935, 1442, 9712, 3100, 502, 490, 2657, 281, 3256, 935, 23149, 279, 7226, 5060, 644, 295, 264, 6765, 597, 307, 264, 1442, 300, 19863, 807, 3100, 502], "avg_logprob": -0.36202331114623504, "compression_ratio": 1.7572254335260116, "no_speech_prob": 1.9669532775878906e-06, "words": [{"start": 1684.64, "end": 1685.24, "word": "optical", "probability": 0.626708984375}, {"start": 1685.24, "end": 1685.62, "word": " path", "probability": 0.72998046875}, {"start": 1685.62, "end": 1685.9, "word": " length", "probability": 0.297607421875}, {"start": 1685.9, "end": 1686.14, "word": " on", "probability": 0.1578369140625}, {"start": 1686.14, "end": 1686.42, "word": " path", "probability": 0.11749267578125}, {"start": 1686.42, "end": 1686.72, "word": " 2", "probability": 0.6142578125}, {"start": 1686.72, "end": 1687.16, "word": " if", "probability": 0.40087890625}, {"start": 1687.16, "end": 1687.34, "word": " the", "probability": 0.82177734375}, {"start": 1687.34, "end": 1687.62, "word": " time", "probability": 0.876953125}, {"start": 1687.62, "end": 1688.08, "word": " required", "probability": 0.80126953125}, {"start": 1688.08, "end": 1688.44, "word": " for", "probability": 0.9375}, {"start": 1688.44, "end": 1688.74, "word": " light", "probability": 0.81201171875}, {"start": 1688.74, "end": 1688.92, "word": " to", "probability": 0.95654296875}, {"start": 1688.92, "end": 1689.2, "word": " travel", "probability": 0.85693359375}, {"start": 1689.2, "end": 1689.62, "word": " along", "probability": 0.94970703125}, {"start": 1689.62, "end": 1689.92, "word": " each", "probability": 0.95068359375}, {"start": 1689.92, "end": 1690.38, "word": " path", "probability": 0.91259765625}, {"start": 1690.38, "end": 1691.22, "word": " path", "probability": 0.337890625}, {"start": 1691.22, "end": 1691.44, "word": " is", "probability": 0.93701171875}, {"start": 1691.44, "end": 1691.72, "word": " not", "probability": 0.9521484375}, {"start": 1691.72, "end": 1692.26, "word": " exactly", "probability": 0.9345703125}, {"start": 1692.26, "end": 1692.92, "word": " identical", "probability": 0.90625}, {"start": 1692.92, "end": 1693.18, "word": " the", "probability": 0.6689453125}, {"start": 1693.18, "end": 1693.44, "word": " path", "probability": 0.90771484375}, {"start": 1693.44, "end": 1693.64, "word": " will", "probability": 0.896484375}, {"start": 1693.64, "end": 1693.92, "word": " not", "probability": 0.953125}, {"start": 1693.92, "end": 1694.5, "word": " intersect", "probability": 0.94970703125}, {"start": 1694.5, "end": 1694.78, "word": " at", "probability": 0.94921875}, {"start": 1694.78, "end": 1694.9, "word": " the", "probability": 0.90234375}, {"start": 1694.9, "end": 1695.16, "word": " image", "probability": 0.93115234375}, {"start": 1695.16, "end": 1695.56, "word": " point", "probability": 0.97314453125}, {"start": 1695.56, "end": 1698.54, "word": " light", "probability": 0.09442138671875}, {"start": 1698.54, "end": 1702.62, "word": " traveling", "probability": 0.4833984375}, {"start": 1702.62, "end": 1703.04, "word": " path", "probability": 0.92333984375}, {"start": 1703.04, "end": 1703.28, "word": " 1", "probability": 0.60400390625}, {"start": 1703.28, "end": 1703.62, "word": " from", "probability": 0.83837890625}, {"start": 1703.62, "end": 1705.12, "word": " object", "probability": 0.87890625}, {"start": 1705.12, "end": 1705.38, "word": " to", "probability": 0.93017578125}, {"start": 1705.38, "end": 1705.7, "word": " image", "probability": 0.91796875}, {"start": 1705.7, "end": 1706.1, "word": " point", "probability": 0.95361328125}, {"start": 1706.1, "end": 1706.94, "word": " traverses", "probability": 0.90087890625}, {"start": 1706.94, "end": 1707.78, "word": " relatively", "probability": 0.83447265625}, {"start": 1707.78, "end": 1708.24, "word": " thick", "probability": 0.91162109375}, {"start": 1708.24, "end": 1708.62, "word": " part", "probability": 0.88916015625}, {"start": 1708.62, "end": 1708.84, "word": " of", "probability": 0.970703125}, {"start": 1708.84, "end": 1708.98, "word": " the", "probability": 0.9013671875}, {"start": 1708.98, "end": 1709.26, "word": " lens", "probability": 0.90966796875}, {"start": 1709.26, "end": 1709.78, "word": " which", "probability": 0.43798828125}, {"start": 1709.78, "end": 1709.96, "word": " is", "probability": 0.7197265625}, {"start": 1709.96, "end": 1710.12, "word": " the", "probability": 0.388671875}, {"start": 1710.12, "end": 1710.26, "word": " light", "probability": 0.82958984375}, {"start": 1710.26, "end": 1710.42, "word": " that", "probability": 0.69189453125}, {"start": 1710.42, "end": 1710.78, "word": " travels", "probability": 0.72998046875}, {"start": 1710.78, "end": 1711.08, "word": " through", "probability": 0.6337890625}, {"start": 1711.08, "end": 1711.5, "word": " path", "probability": 0.90966796875}, {"start": 1711.5, "end": 1711.86, "word": " 1", "probability": 0.83544921875}], "temperature": 1.0}, {"id": 74, "seek": 172773, "start": 1713.47, "end": 1727.73, "text": "thick lens, عبر thick lens وعشان هي بتعوج رغم أنه طوله قليل إلا أنه هيتعوج هنا فتعويج to high هتخلي الضوء اللي سلك المسرق التاني يعني يلحجوا و التانين يلتقوا في الimage", "tokens": [392, 618, 6765, 11, 6225, 26890, 5060, 6765, 4032, 3615, 8592, 7649, 39896, 39894, 3615, 29245, 12602, 17082, 2304, 14739, 3224, 23032, 12610, 3224, 12174, 20292, 1211, 11933, 15040, 14739, 3224, 8032, 36081, 3615, 29245, 34105, 6156, 2655, 3615, 45865, 7435, 281, 1090, 8032, 2655, 9778, 20292, 2423, 11242, 2407, 38207, 13672, 1829, 8608, 23275, 9673, 3794, 2288, 4587, 16712, 7649, 1829, 37495, 22653, 7251, 1211, 5016, 7435, 14407, 4032, 16712, 7649, 9957, 7251, 1211, 2655, 4587, 14407, 8978, 2423, 26624], "avg_logprob": -0.19302591917718329, "compression_ratio": 1.5804597701149425, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 1713.47, "end": 1714.07, "word": "thick", "probability": 0.754638671875}, {"start": 1714.07, "end": 1714.47, "word": " lens,", "probability": 0.88037109375}, {"start": 1714.67, "end": 1714.95, "word": " عبر", "probability": 0.905029296875}, {"start": 1714.95, "end": 1715.19, "word": " thick", "probability": 0.7236328125}, {"start": 1715.19, "end": 1715.45, "word": " lens", "probability": 0.849609375}, {"start": 1715.45, "end": 1715.71, "word": " وعشان", "probability": 0.8603515625}, {"start": 1715.71, "end": 1715.81, "word": " هي", "probability": 0.962890625}, {"start": 1715.81, "end": 1716.43, "word": " بتعوج", "probability": 0.8766276041666666}, {"start": 1716.43, "end": 1717.03, "word": " رغم", "probability": 0.9246419270833334}, {"start": 1717.03, "end": 1717.31, "word": " أنه", "probability": 0.76025390625}, {"start": 1717.31, "end": 1717.67, "word": " طوله", "probability": 0.9957682291666666}, {"start": 1717.67, "end": 1718.17, "word": " قليل", "probability": 0.9913736979166666}, {"start": 1718.17, "end": 1718.35, "word": " إلا", "probability": 0.815673828125}, {"start": 1718.35, "end": 1718.55, "word": " أنه", "probability": 0.800537109375}, {"start": 1718.55, "end": 1719.11, "word": " هيتعوج", "probability": 0.9189453125}, {"start": 1719.11, "end": 1719.35, "word": " هنا", "probability": 0.98876953125}, {"start": 1719.35, "end": 1720.61, "word": " فتعويج", "probability": 0.763916015625}, {"start": 1720.61, "end": 1720.75, "word": " to", "probability": 0.48291015625}, {"start": 1720.75, "end": 1720.99, "word": " high", "probability": 0.8671875}, {"start": 1720.99, "end": 1721.63, "word": " هتخلي", "probability": 0.923095703125}, {"start": 1721.63, "end": 1722.07, "word": " الضوء", "probability": 0.79132080078125}, {"start": 1722.07, "end": 1722.25, "word": " اللي", "probability": 0.931640625}, {"start": 1722.25, "end": 1722.55, "word": " سلك", "probability": 0.84033203125}, {"start": 1722.55, "end": 1723.63, "word": " المسرق", "probability": 0.75732421875}, {"start": 1723.63, "end": 1724.27, "word": " التاني", "probability": 0.8605143229166666}, {"start": 1724.27, "end": 1724.89, "word": " يعني", "probability": 0.787841796875}, {"start": 1724.89, "end": 1725.51, "word": " يلحجوا", "probability": 0.831396484375}, {"start": 1725.51, "end": 1725.63, "word": " و", "probability": 0.58984375}, {"start": 1725.63, "end": 1726.03, "word": " التانين", "probability": 0.8544921875}, {"start": 1726.03, "end": 1726.53, "word": " يلتقوا", "probability": 0.98837890625}, {"start": 1726.53, "end": 1726.79, "word": " في", "probability": 0.986328125}, {"start": 1726.79, "end": 1727.73, "word": " الimage", "probability": 0.83154296875}], "temperature": 1.0}, {"id": 75, "seek": 174511, "start": 1729.91, "end": 1745.11, "text": "Light travelling the longer path to goes through less lens .. less glass if the lens is properly shaped و هذا هو مربط الفرس و هذا هو أهم إشي ضروري يكون ال lens شكلها و الانحناق بتاعها مناسب", "tokens": [43, 397, 20515, 264, 2854, 3100, 281, 1709, 807, 1570, 6765, 4386, 1570, 4276, 498, 264, 6765, 307, 6108, 13475, 4032, 23758, 31439, 3714, 25513, 9566, 27188, 2288, 3794, 4032, 23758, 31439, 5551, 16095, 11933, 8592, 1829, 48812, 2288, 13063, 1829, 7251, 30544, 2423, 6765, 13412, 28820, 11296, 4032, 2423, 7649, 5016, 8315, 4587, 39894, 45761, 11296, 3714, 8315, 35457], "avg_logprob": -0.23578380463553256, "compression_ratio": 1.3922651933701657, "no_speech_prob": 0.0, "words": [{"start": 1729.91, "end": 1730.37, "word": "Light", "probability": 0.8203125}, {"start": 1730.37, "end": 1730.89, "word": " travelling", "probability": 0.5361328125}, {"start": 1730.89, "end": 1731.13, "word": " the", "probability": 0.9306640625}, {"start": 1731.13, "end": 1731.47, "word": " longer", "probability": 0.9345703125}, {"start": 1731.47, "end": 1731.85, "word": " path", "probability": 0.9287109375}, {"start": 1731.85, "end": 1732.09, "word": " to", "probability": 0.56201171875}, {"start": 1732.09, "end": 1732.55, "word": " goes", "probability": 0.77001953125}, {"start": 1732.55, "end": 1732.99, "word": " through", "probability": 0.90380859375}, {"start": 1732.99, "end": 1733.37, "word": " less", "probability": 0.93505859375}, {"start": 1733.37, "end": 1733.81, "word": " lens", "probability": 0.6962890625}, {"start": 1733.81, "end": 1734.05, "word": " ..", "probability": 0.2119140625}, {"start": 1734.05, "end": 1734.41, "word": " less", "probability": 0.71337890625}, {"start": 1734.41, "end": 1735.07, "word": " glass", "probability": 0.7568359375}, {"start": 1735.07, "end": 1735.67, "word": " if", "probability": 0.8779296875}, {"start": 1735.67, "end": 1735.87, "word": " the", "probability": 0.9208984375}, {"start": 1735.87, "end": 1736.09, "word": " lens", "probability": 0.92724609375}, {"start": 1736.09, "end": 1736.35, "word": " is", "probability": 0.95263671875}, {"start": 1736.35, "end": 1736.93, "word": " properly", "probability": 0.904296875}, {"start": 1736.93, "end": 1737.73, "word": " shaped", "probability": 0.62890625}, {"start": 1737.73, "end": 1738.11, "word": " و", "probability": 0.1845703125}, {"start": 1738.11, "end": 1738.43, "word": " هذا", "probability": 0.8037109375}, {"start": 1738.43, "end": 1738.69, "word": " هو", "probability": 0.97509765625}, {"start": 1738.69, "end": 1739.11, "word": " مربط", "probability": 0.9851888020833334}, {"start": 1739.11, "end": 1739.45, "word": " الفرس", "probability": 0.7823893229166666}, {"start": 1739.45, "end": 1739.55, "word": " و", "probability": 0.8193359375}, {"start": 1739.55, "end": 1739.73, "word": " هذا", "probability": 0.94140625}, {"start": 1739.73, "end": 1739.89, "word": " هو", "probability": 0.9140625}, {"start": 1739.89, "end": 1740.31, "word": " أهم", "probability": 0.932861328125}, {"start": 1740.31, "end": 1740.75, "word": " إشي", "probability": 0.7931315104166666}, {"start": 1740.75, "end": 1741.57, "word": " ضروري", "probability": 0.811767578125}, {"start": 1741.57, "end": 1741.93, "word": " يكون", "probability": 0.986083984375}, {"start": 1741.93, "end": 1742.19, "word": " ال", "probability": 0.9462890625}, {"start": 1742.19, "end": 1742.49, "word": " lens", "probability": 0.87158203125}, {"start": 1742.49, "end": 1743.09, "word": " شكلها", "probability": 0.96826171875}, {"start": 1743.09, "end": 1743.61, "word": " و", "probability": 0.87841796875}, {"start": 1743.61, "end": 1744.21, "word": " الانحناق", "probability": 0.7640625}, {"start": 1744.21, "end": 1744.55, "word": " بتاعها", "probability": 0.7544759114583334}, {"start": 1744.55, "end": 1745.11, "word": " مناسب", "probability": 0.9366861979166666}], "temperature": 1.0}, {"id": 76, "seek": 177173, "start": 1745.43, "end": 1771.73, "text": "بشكل proper، بشكل مناسب، the greater distance in air is perfectly compensated for by the shorter distance in glass صحيح الممر التاني هيعدي .. هيكون طويل، بس لأنه هيعدي من منطقة رفيعة من ال .. من العدسة، مش هيتأخر كتير، فبالتالي هيقدر يوصل ل ال image point بنفس الزمن اللي وصل الأشعة اللي عبرت عبر ممر ايه؟ عبر ممر ايه؟", "tokens": [3555, 8592, 28820, 2296, 12399, 4724, 8592, 28820, 3714, 8315, 35457, 12399, 264, 5044, 4560, 294, 1988, 307, 6239, 11598, 770, 337, 538, 264, 11639, 4560, 294, 4276, 20328, 5016, 1829, 5016, 9673, 29973, 16712, 7649, 1829, 39896, 3615, 16254, 4386, 39896, 30544, 23032, 2407, 26895, 12399, 4724, 3794, 5296, 33456, 3224, 39896, 3615, 16254, 9154, 9154, 9566, 4587, 3660, 12602, 5172, 40228, 3660, 9154, 2423, 4386, 9154, 18863, 3215, 3794, 3660, 12399, 37893, 39896, 2655, 10721, 34740, 9122, 2655, 13546, 12399, 6156, 3555, 6027, 2655, 6027, 1829, 39896, 28543, 2288, 7251, 2407, 36520, 5296, 2423, 3256, 935, 44945, 36178, 6024, 110, 27842, 13672, 1829, 4032, 36520, 16247, 8592, 27884, 13672, 1829, 6225, 26890, 2655, 6225, 26890, 3714, 29973, 1975, 1829, 3224, 22807, 6225, 26890, 3714, 29973, 1975, 1829, 3224, 22807], "avg_logprob": -0.13849431186011343, "compression_ratio": 1.7527272727272727, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 1745.43, "end": 1745.97, "word": "بشكل", "probability": 0.6900634765625}, {"start": 1745.97, "end": 1746.55, "word": " proper،", "probability": 0.6558837890625}, {"start": 1746.55, "end": 1746.81, "word": " بشكل", "probability": 0.9889322916666666}, {"start": 1746.81, "end": 1747.71, "word": " مناسب،", "probability": 0.827392578125}, {"start": 1747.71, "end": 1747.81, "word": " the", "probability": 0.6083984375}, {"start": 1747.81, "end": 1748.27, "word": " greater", "probability": 0.958984375}, {"start": 1748.27, "end": 1748.89, "word": " distance", "probability": 0.9482421875}, {"start": 1748.89, "end": 1749.15, "word": " in", "probability": 0.9609375}, {"start": 1749.15, "end": 1749.45, "word": " air", "probability": 0.92822265625}, {"start": 1749.45, "end": 1749.71, "word": " is", "probability": 0.96630859375}, {"start": 1749.71, "end": 1750.29, "word": " perfectly", "probability": 0.91796875}, {"start": 1750.29, "end": 1751.33, "word": " compensated", "probability": 0.993896484375}, {"start": 1751.33, "end": 1752.01, "word": " for", "probability": 0.82568359375}, {"start": 1752.01, "end": 1752.29, "word": " by", "probability": 0.97021484375}, {"start": 1752.29, "end": 1752.47, "word": " the", "probability": 0.9287109375}, {"start": 1752.47, "end": 1752.85, "word": " shorter", "probability": 0.951171875}, {"start": 1752.85, "end": 1753.45, "word": " distance", "probability": 0.9384765625}, {"start": 1753.45, "end": 1753.63, "word": " in", "probability": 0.95703125}, {"start": 1753.63, "end": 1753.95, "word": " glass", "probability": 0.66796875}, {"start": 1753.95, "end": 1754.69, "word": " صحيح", "probability": 0.9222412109375}, {"start": 1754.69, "end": 1755.17, "word": " الممر", "probability": 0.95751953125}, {"start": 1755.17, "end": 1755.57, "word": " التاني", "probability": 0.9508463541666666}, {"start": 1755.57, "end": 1756.15, "word": " هيعدي", "probability": 0.8072916666666666}, {"start": 1756.15, "end": 1756.47, "word": " ..", "probability": 0.5693359375}, {"start": 1756.47, "end": 1756.89, "word": " هيكون", "probability": 0.92626953125}, {"start": 1756.89, "end": 1757.63, "word": " طويل،", "probability": 0.9224853515625}, {"start": 1757.63, "end": 1757.79, "word": " بس", "probability": 0.997314453125}, {"start": 1757.79, "end": 1758.25, "word": " لأنه", "probability": 0.8522135416666666}, {"start": 1758.25, "end": 1758.81, "word": " هيعدي", "probability": 0.9456380208333334}, {"start": 1758.81, "end": 1759.01, "word": " من", "probability": 0.9970703125}, {"start": 1759.01, "end": 1759.53, "word": " منطقة", "probability": 0.8302001953125}, {"start": 1759.53, "end": 1760.01, "word": " رفيعة", "probability": 0.79248046875}, {"start": 1760.01, "end": 1760.13, "word": " من", "probability": 0.99169921875}, {"start": 1760.13, "end": 1760.31, "word": " ال", "probability": 0.3671875}, {"start": 1760.31, "end": 1760.31, "word": " ..", "probability": 0.86865234375}, {"start": 1760.31, "end": 1760.51, "word": " من", "probability": 0.958984375}, {"start": 1760.51, "end": 1761.49, "word": " العدسة،", "probability": 0.9455078125}, {"start": 1761.49, "end": 1761.65, "word": " مش", "probability": 0.97802734375}, {"start": 1761.65, "end": 1762.21, "word": " هيتأخر", "probability": 0.875732421875}, {"start": 1762.21, "end": 1762.73, "word": " كتير،", "probability": 0.9698486328125}, {"start": 1762.73, "end": 1763.29, "word": " فبالتالي", "probability": 0.9373372395833334}, {"start": 1763.29, "end": 1763.91, "word": " هيقدر", "probability": 0.97265625}, {"start": 1763.91, "end": 1764.39, "word": " يوصل", "probability": 0.9803059895833334}, {"start": 1764.39, "end": 1764.61, "word": " ل", "probability": 0.70703125}, {"start": 1764.61, "end": 1765.09, "word": " ال", "probability": 0.57763671875}, {"start": 1765.09, "end": 1765.37, "word": " image", "probability": 0.93896484375}, {"start": 1765.37, "end": 1765.87, "word": " point", "probability": 0.97607421875}, {"start": 1765.87, "end": 1766.53, "word": " بنفس", "probability": 0.93115234375}, {"start": 1766.53, "end": 1766.97, "word": " الزمن", "probability": 0.9490559895833334}, {"start": 1766.97, "end": 1767.15, "word": " اللي", "probability": 0.94140625}, {"start": 1767.15, "end": 1767.49, "word": " وصل", "probability": 0.981689453125}, {"start": 1767.49, "end": 1768.35, "word": " الأشعة", "probability": 0.9140625}, {"start": 1768.35, "end": 1768.59, "word": " اللي", "probability": 0.9609375}, {"start": 1768.59, "end": 1768.99, "word": " عبرت", "probability": 0.9152018229166666}, {"start": 1768.99, "end": 1769.29, "word": " عبر", "probability": 0.850341796875}, {"start": 1769.29, "end": 1769.69, "word": " ممر", "probability": 0.989990234375}, {"start": 1769.69, "end": 1770.59, "word": " ايه؟", "probability": 0.72442626953125}, {"start": 1770.59, "end": 1770.83, "word": " عبر", "probability": 0.9921875}, {"start": 1770.83, "end": 1771.21, "word": " ممر", "probability": 0.988037109375}, {"start": 1771.21, "end": 1771.73, "word": " ايه؟", "probability": 0.9625244140625}], "temperature": 1.0}, {"id": 77, "seek": 178783, "start": 1772.89, "end": 1787.83, "text": "If the lens is properly shaped, the greater distance in air for path 2 is perfectly compensated by the shorter distance in glass. So the time required to travel from object to image", "tokens": [8031, 264, 6765, 307, 6108, 13475, 11, 264, 5044, 4560, 294, 1988, 337, 3100, 568, 307, 6239, 11598, 770, 538, 264, 11639, 4560, 294, 4276, 13, 407, 264, 565, 4739, 281, 3147, 490, 2657, 281, 3256], "avg_logprob": -0.1772592921514769, "compression_ratio": 1.4251968503937007, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 1772.89, "end": 1773.13, "word": "If", "probability": 0.6494140625}, {"start": 1773.13, "end": 1773.35, "word": " the", "probability": 0.93212890625}, {"start": 1773.35, "end": 1773.57, "word": " lens", "probability": 0.91748046875}, {"start": 1773.57, "end": 1773.79, "word": " is", "probability": 0.9580078125}, {"start": 1773.79, "end": 1774.41, "word": " properly", "probability": 0.908203125}, {"start": 1774.41, "end": 1775.29, "word": " shaped,", "probability": 0.8662109375}, {"start": 1775.49, "end": 1775.75, "word": " the", "probability": 0.89501953125}, {"start": 1775.75, "end": 1776.15, "word": " greater", "probability": 0.927734375}, {"start": 1776.15, "end": 1776.75, "word": " distance", "probability": 0.72314453125}, {"start": 1776.75, "end": 1777.37, "word": " in", "probability": 0.9462890625}, {"start": 1777.37, "end": 1777.61, "word": " air", "probability": 0.81201171875}, {"start": 1777.61, "end": 1777.87, "word": " for", "probability": 0.91259765625}, {"start": 1777.87, "end": 1778.15, "word": " path", "probability": 0.91015625}, {"start": 1778.15, "end": 1778.43, "word": " 2", "probability": 0.5712890625}, {"start": 1778.43, "end": 1779.15, "word": " is", "probability": 0.91162109375}, {"start": 1779.15, "end": 1779.81, "word": " perfectly", "probability": 0.9130859375}, {"start": 1779.81, "end": 1780.73, "word": " compensated", "probability": 0.9921875}, {"start": 1780.73, "end": 1780.93, "word": " by", "probability": 0.857421875}, {"start": 1780.93, "end": 1782.41, "word": " the", "probability": 0.90087890625}, {"start": 1782.41, "end": 1782.81, "word": " shorter", "probability": 0.9248046875}, {"start": 1782.81, "end": 1783.51, "word": " distance", "probability": 0.9384765625}, {"start": 1783.51, "end": 1783.87, "word": " in", "probability": 0.92822265625}, {"start": 1783.87, "end": 1784.37, "word": " glass.", "probability": 0.58740234375}, {"start": 1784.61, "end": 1784.95, "word": " So", "probability": 0.65185546875}, {"start": 1784.95, "end": 1785.17, "word": " the", "probability": 0.50048828125}, {"start": 1785.17, "end": 1785.49, "word": " time", "probability": 0.8916015625}, {"start": 1785.49, "end": 1785.93, "word": " required", "probability": 0.8271484375}, {"start": 1785.93, "end": 1786.19, "word": " to", "probability": 0.97314453125}, {"start": 1786.19, "end": 1786.51, "word": " travel", "probability": 0.87451171875}, {"start": 1786.51, "end": 1786.83, "word": " from", "probability": 0.89208984375}, {"start": 1786.83, "end": 1787.29, "word": " object", "probability": 0.92822265625}, {"start": 1787.29, "end": 1787.51, "word": " to", "probability": 0.9716796875}, {"start": 1787.51, "end": 1787.83, "word": " image", "probability": 0.943359375}], "temperature": 1.0}, {"id": 78, "seek": 181867, "start": 1796.01, "end": 1818.67, "text": "بعبارة أخرى ال optical path length is identical for both paths وبنتوقف عند هذه النقطة اللي شرحنا فيها ال optical path length وحنلاقي ان شاء الله تمارين، هحاول أنزل تمارين على ال model لحساب ال optical path length ويعطيكم العافية والسلام عليكم ورحمة الله وبركاته", "tokens": [3555, 3615, 3555, 9640, 3660, 5551, 34740, 7578, 2423, 20674, 3100, 4641, 307, 14800, 337, 1293, 14518, 4032, 3555, 29399, 30543, 5172, 43242, 29538, 28239, 47432, 3660, 13672, 1829, 13412, 2288, 5016, 8315, 8978, 11296, 2423, 20674, 3100, 4641, 4032, 5016, 1863, 15040, 38436, 16472, 13412, 16606, 21984, 46811, 9640, 9957, 12399, 8032, 5016, 995, 12610, 14739, 11622, 1211, 46811, 9640, 9957, 15844, 2423, 2316, 5296, 5016, 3794, 16758, 2423, 20674, 3100, 4641, 4032, 40228, 9566, 1829, 24793, 18863, 31845, 10632, 16070, 3794, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224], "avg_logprob": -0.13144329896907217, "compression_ratio": 1.7347826086956522, "no_speech_prob": 1.9371509552001953e-05, "words": [{"start": 1796.01, "end": 1796.81, "word": "بعبارة", "probability": 0.7880859375}, {"start": 1796.81, "end": 1797.13, "word": " أخرى", "probability": 0.9596354166666666}, {"start": 1797.13, "end": 1797.21, "word": " ال", "probability": 0.8310546875}, {"start": 1797.21, "end": 1797.61, "word": " optical", "probability": 0.89697265625}, {"start": 1797.61, "end": 1798.05, "word": " path", "probability": 0.94091796875}, {"start": 1798.05, "end": 1798.45, "word": " length", "probability": 0.83203125}, {"start": 1798.45, "end": 1799.33, "word": " is", "probability": 0.96240234375}, {"start": 1799.33, "end": 1800.23, "word": " identical", "probability": 0.916015625}, {"start": 1800.23, "end": 1800.75, "word": " for", "probability": 0.96484375}, {"start": 1800.75, "end": 1801.25, "word": " both", "probability": 0.91357421875}, {"start": 1801.25, "end": 1802.69, "word": " paths", "probability": 0.7919921875}, {"start": 1802.69, "end": 1803.87, "word": " وبنتوقف", "probability": 0.7546630859375}, {"start": 1803.87, "end": 1804.09, "word": " عند", "probability": 0.98681640625}, {"start": 1804.09, "end": 1804.39, "word": " هذه", "probability": 0.90380859375}, {"start": 1804.39, "end": 1804.99, "word": " النقطة", "probability": 0.9728190104166666}, {"start": 1804.99, "end": 1805.67, "word": " اللي", "probability": 0.74951171875}, {"start": 1805.67, "end": 1806.05, "word": " شرحنا", "probability": 0.9560546875}, {"start": 1806.05, "end": 1806.27, "word": " فيها", "probability": 0.98291015625}, {"start": 1806.27, "end": 1806.39, "word": " ال", "probability": 0.95458984375}, {"start": 1806.39, "end": 1806.75, "word": " optical", "probability": 0.982421875}, {"start": 1806.75, "end": 1807.17, "word": " path", "probability": 0.966796875}, {"start": 1807.17, "end": 1807.47, "word": " length", "probability": 0.85302734375}, {"start": 1807.47, "end": 1808.09, "word": " وحنلاقي", "probability": 0.75791015625}, {"start": 1808.09, "end": 1808.21, "word": " ان", "probability": 0.51123046875}, {"start": 1808.21, "end": 1808.37, "word": " شاء", "probability": 0.962646484375}, {"start": 1808.37, "end": 1808.45, "word": " الله", "probability": 0.8798828125}, {"start": 1808.45, "end": 1808.95, "word": " تمارين،", "probability": 0.78564453125}, {"start": 1808.95, "end": 1809.35, "word": " هحاول", "probability": 0.9366455078125}, {"start": 1809.35, "end": 1809.75, "word": " أنزل", "probability": 0.8536783854166666}, {"start": 1809.75, "end": 1810.31, "word": " تمارين", "probability": 0.95361328125}, {"start": 1810.31, "end": 1811.21, "word": " على", "probability": 0.904296875}, {"start": 1811.21, "end": 1811.35, "word": " ال", "probability": 0.79248046875}, {"start": 1811.35, "end": 1811.69, "word": " model", "probability": 0.8134765625}, {"start": 1811.69, "end": 1812.83, "word": " لحساب", "probability": 0.9781494140625}, {"start": 1812.83, "end": 1812.97, "word": " ال", "probability": 0.99462890625}, {"start": 1812.97, "end": 1813.31, "word": " optical", "probability": 0.982421875}, {"start": 1813.31, "end": 1813.95, "word": " path", "probability": 0.97119140625}, {"start": 1813.95, "end": 1814.33, "word": " length", "probability": 0.8662109375}, {"start": 1814.33, "end": 1815.37, "word": " ويعطيكم", "probability": 0.9357421875}, {"start": 1815.37, "end": 1815.91, "word": " العافية", "probability": 0.9685872395833334}, {"start": 1815.91, "end": 1816.49, "word": " والسلام", "probability": 0.8092447916666666}, {"start": 1816.49, "end": 1816.95, "word": " عليكم", "probability": 0.935546875}, {"start": 1816.95, "end": 1817.35, "word": " ورحمة", "probability": 0.980224609375}, {"start": 1817.35, "end": 1817.63, "word": " الله", "probability": 0.9765625}, {"start": 1817.63, "end": 1818.67, "word": " وبركاته", "probability": 0.98779296875}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 1819.120875, "duration_after_vad": 1769.299999999997}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/1wSSzKQRRNI_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/1wSSzKQRRNI_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ace93af741f69c86422851ec1c69a303e74315a5
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/1wSSzKQRRNI_raw.srt
@@ -0,0 +1,1876 @@
+1
+00:00:01,840 --> 00:00:06,080
+بسم الله الرحمن الرحيم، بنواصل مع محاضرات البصريات
+
+2
+00:00:06,080 --> 00:00:09,520
+الهندسية وتوقفنا عند فيرمات ال principle أو مبدأ
+
+3
+00:00:09,520 --> 00:00:15,520
+فيرمات، طبعا فيرمات عالم يعني رياضي أو في
+
+4
+00:00:15,520 --> 00:00:19,260
+الرياضيات، the mathematician Pierre de Fermat
+
+5
+00:00:19,260 --> 00:00:22,580
+believed that natural processes occur in the most
+
+6
+00:00:22,580 --> 00:00:26,390
+economical wayI mean from his experience, his
+
+7
+00:00:26,390 --> 00:00:31,290
+experience, his work and his research, the
+
+8
+00:00:31,290 --> 00:00:34,190
+scientist Fermat concluded that natural phenomena,
+
+9
+00:00:34,330 --> 00:00:37,410
+including phenomena against them, occur in the
+
+10
+00:00:37,410 --> 00:00:40,410
+most economical way possible, meaning with the
+
+11
+00:00:40,410 --> 00:00:45,320
+least consumption of .. consumption of timeAnd the
+
+12
+00:00:45,320 --> 00:00:48,220
+Fermat principle as applied to optics, if we want
+
+13
+00:00:48,220 --> 00:00:51,920
+to apply the Fermat principle on the subject of
+
+14
+00:00:51,920 --> 00:00:55,120
+vision, the goal is that the light travels from
+
+15
+00:00:55,120 --> 00:00:58,320
+one point to another along the path requiring the
+
+16
+00:00:58,320 --> 00:01:00,760
+least time. That is, when the light travels from
+
+17
+00:01:00,760 --> 00:01:04,500
+one point to another, it will consume the least
+
+18
+00:01:04,500 --> 00:01:09,360
+time possible to reach the point or the next
+
+19
+00:01:09,360 --> 00:01:13,310
+target.Historically, the laws of reflection and
+
+20
+00:01:13,310 --> 00:01:16,270
+refraction were discovered by careful experimental
+
+21
+00:01:16,270 --> 00:01:18,670
+measurements before Fermat's time.
+
+22
+00:01:36,060 --> 00:01:42,920
+already مكتشف و العلماء بيعرفوا. However, both the
+
+23
+00:01:42,920 --> 00:01:45,720
+law of refraction and the law of reflection can be
+
+24
+00:01:45,720 --> 00:01:48,840
+mathematically derived from the Fermat principle
+
+25
+00:01:48,840 --> 00:01:52,670
+without the need for any measurement.If we imagine
+
+26
+00:01:52,670 --> 00:01:55,290
+a dispute that the law of reduction and the law of
+
+27
+00:01:55,290 --> 00:02:00,710
+inversion was not discovered before the time of
+
+28
+00:02:00,710 --> 00:02:04,270
+Fermat, and we will find that it is possible in a
+
+29
+00:02:04,270 --> 00:02:06,630
+mathematical way or mathematical calculationsby
+
+30
+00:02:06,630 --> 00:02:10,950
+using the principle of Fermat that we reach the
+
+31
+00:02:10,950 --> 00:02:12,690
+law of reflection and the law of contraction
+
+32
+00:02:12,690 --> 00:02:17,150
+without the need for calculations of the law of
+
+33
+00:02:17,150 --> 00:02:20,190
+reflection and the law of contraction, but by
+
+34
+00:02:20,190 --> 00:02:22,640
+using the principle of FermatOf course, the
+
+35
+00:02:22,640 --> 00:02:24,880
+details of this matter are outside the scope of
+
+36
+00:02:24,880 --> 00:02:27,980
+engineering perspectives, so we will not go into
+
+37
+00:02:27,980 --> 00:02:31,320
+it. But what we want to be sure of is that, as the
+
+38
+00:02:31,320 --> 00:02:33,780
+law of reflection and the law of contraction was
+
+39
+00:02:33,780 --> 00:02:37,320
+proven by experience and was calculated with
+
+40
+00:02:37,320 --> 00:02:42,660
+certain equations, if we use the principle of
+
+41
+00:02:42,660 --> 00:02:46,870
+Fermat,we can reach the conclusion of the two
+
+42
+00:02:46,870 --> 00:02:48,650
+laws, the law of refraction and the law of
+
+43
+00:02:48,650 --> 00:02:50,710
+contraction, using the principle of Fermat without
+
+44
+00:02:50,710 --> 00:02:55,350
+the need for the method that was proven to them
+
+45
+00:02:55,350 --> 00:03:01,950
+before that Suppose the law of refraction was
+
+46
+00:03:01,950 --> 00:03:06,070
+unknown, let's assume now that the law of
+
+47
+00:03:06,070 --> 00:03:06,590
+contraction
+
+48
+00:03:10,060 --> 00:03:13,800
+لسه مش معروف، لسه مش مكتشر and consider ..
+
+49
+00:03:13,800 --> 00:03:16,800
+consider a light travelling from a point source in
+
+50
+00:03:16,800 --> 00:03:20,500
+air across an optical interface to some point in a
+
+51
+00:03:20,500 --> 00:03:24,900
+glass بدنا نشوف أو بدنا نفترض أنه عندنا .. عندنا
+
+52
+00:03:24,900 --> 00:03:30,880
+ضوء أو قانون الانكسار .. قانون الانكسار مش معروف و
+
+53
+00:03:30,880 --> 00:03:34,240
+هي أن الضوء بدنا نفترض بيسافر من النقطة إيه في
+
+54
+00:03:34,240 --> 00:03:40,160
+الهواء عبر مسارات عديدةلا النقطة بيه داخل الزجاج,
+
+55
+00:03:40,220 --> 00:03:43,700
+لا النقطة بيه داخل الزجاج, نهاية الرحلة and بيه،
+
+56
+00:03:43,700 --> 00:03:48,180
+بداية الرحلة انطلق الضوء من ايه؟ وبدنا نفترض جدلا
+
+57
+00:03:48,180 --> 00:03:51,500
+ان الضوء بياخد مسارات عديدة، ليش؟ لأن الضوء بينتشر
+
+58
+00:03:51,500 --> 00:03:55,400
+في جميع الاتجاهات، احنا هذه المسارات العديدة،
+
+59
+00:03:55,400 --> 00:04:01,380
+المسارات العديدة، لو حبنا نختصرها على تلت مسارات،
+
+60
+00:04:01,380 --> 00:04:05,780
+مسار مستقيمand two paths that are not straight,
+
+61
+00:04:06,020 --> 00:04:07,560
+that is, they come from angles, that is, the light
+
+62
+00:04:07,560 --> 00:04:10,760
+went and reached this point and then it broke or
+
+63
+00:04:10,760 --> 00:04:15,900
+the light goes in a straight way from A to B
+
+64
+00:04:15,900 --> 00:04:19,060
+because if it reaches B or path number one which
+
+65
+00:04:19,060 --> 00:04:24,420
+is the path number one now we are from the many
+
+66
+00:04:24,420 --> 00:04:28,200
+paths taken by light and from thousands and
+
+67
+00:04:28,200 --> 00:04:30,040
+hundreds of thousands and an infinite number of
+
+68
+00:04:30,040 --> 00:04:34,540
+paths taken by lightWe shortened it to study, to
+
+69
+00:04:34,540 --> 00:04:40,540
+see what firms will doOn three paths, a straight
+
+70
+00:04:40,540 --> 00:04:43,980
+path, a slightly curved path, a much curved path,
+
+71
+00:04:44,060 --> 00:04:49,260
+a much curved path And we come to see which path
+
+72
+00:04:49,260 --> 00:04:51,740
+is better for light What does better for light
+
+73
+00:04:51,740 --> 00:04:54,600
+mean? It means the path that will take the least
+
+74
+00:04:54,600 --> 00:04:58,240
+time possible to light in it The path that will
+
+75
+00:04:58,240 --> 00:05:01,780
+take the least time possible to light in it We say
+
+76
+00:05:01,780 --> 00:05:07,550
+as followsمفهوم ضمن واتعلمنا في المدارس أن أقصر
+
+77
+00:05:07,550 --> 00:05:12,070
+طريق بين نقطتين ..The shortest way between two
+
+78
+00:05:12,070 --> 00:05:16,210
+points is the straight line. So if we ask which of
+
+79
+00:05:16,210 --> 00:05:19,330
+the three paths, path one or path two or path
+
+80
+00:05:19,330 --> 00:05:25,370
+three is the shortest distance, we say path three.
+
+81
+00:05:25,610 --> 00:05:28,730
+So it is better for the light to take it. In fact,
+
+82
+00:05:29,930 --> 00:05:33,890
+mathematically speaking, without considering the
+
+83
+00:05:33,890 --> 00:05:38,600
+speed of light,بنقول نعم المسار هو الأقصى، بس هذا
+
+84
+00:05:38,600 --> 00:05:43,400
+المسار حقيقة غير مناسب للضوء، ليش؟ لأن جزء كبير من
+
+85
+00:05:43,400 --> 00:05:47,800
+المسار هذا، جزء كبير من المسار هذا، بيقع داخل
+
+86
+00:05:47,800 --> 00:05:51,790
+الزجاجةومعروف إن الضوء داخل الزجاج بيكون بطيق
+
+87
+00:05:51,790 --> 00:05:59,890
+ومعروف
+
+88
+00:05:59,890 --> 00:06:02,950
+إن الضوء داخل الزجاج بيكون بطيق ومعروف إن الضوء
+
+89
+00:06:02,950 --> 00:06:04,550
+داخل الزجاج بيكون بطيق ومعروف إن الضوء داخل الزجاج
+
+90
+00:06:04,550 --> 00:06:08,570
+بيكون بطيق ومعروف
+
+91
+00:06:08,570 --> 00:06:12,130
+إن الضوء داخل الزجاج بيكون بطيق ومعروف إن الضوء
+
+92
+00:06:12,130 --> 00:06:13,630
+داخل الزجاج بيكون بطيق ومعروف إن الضوء داخل الزجاج
+
+93
+00:06:13,630 --> 00:06:16,250
+بيكون بطيق ومعروف إن الضوء داخل الزجاج بيكون بطيق
+
+94
+00:06:16,250 --> 00:06:17,270
+ومعروف إن الضوء داخل الزجاج بيكون بطيق ومعروف إن
+
+95
+00:06:17,270 --> 00:06:20,870
+الضالجزء الكبير من هذا المسار اللي هو path رقم
+
+96
+00:06:20,870 --> 00:06:24,310
+تلاتة جاي داخل الزجاج ومعروف أن الطوارق لما بدخل
+
+97
+00:06:24,310 --> 00:06:28,790
+من الهواء لليجزاز بطبطأ سرعته، بطبطأ سرعته، طيب
+
+98
+00:06:29,570 --> 00:06:33,890
+Okay, if we say any of the remaining two paths,
+
+99
+00:06:34,850 --> 00:06:38,470
+any of the remaining two paths, meaning the length
+
+100
+00:06:38,470 --> 00:06:40,930
+of the glass is small, we will say path number one
+
+101
+00:06:40,930 --> 00:06:43,830
+Path number one is the shortest distance walked on
+
+102
+00:06:43,830 --> 00:06:47,310
+glass, if compared to path number two and path
+
+103
+00:06:47,310 --> 00:06:51,690
+number three Okay, so path number three, path
+
+104
+00:06:51,690 --> 00:06:55,580
+number three is the answerبنقول برضه لأ ليش لإنه
+
+105
+00:06:55,580 --> 00:06:58,740
+المصار رقم .. عفواً المصار رقم واحد هو ال answer
+
+106
+00:06:58,740 --> 00:07:03,800
+برضه هنقول لأ ليش لإنه المصار رقم واحد ..طوله الكل
+
+107
+00:07:03,800 --> 00:07:08,220
+مفرض، يعني هو أطول التلاتة على الإطلاق، أنا عشان
+
+108
+00:07:08,220 --> 00:07:12,800
+أتجنب طريق متعرج، نفرض هذه طريق شديد التعريج،
+
+109
+00:07:12,800 --> 00:07:17,420
+بروحش أعمل التفاف كبير جدا جدا، لأن هذا مرهق جدا،
+
+110
+00:07:17,420 --> 00:07:20,900
+يعني .. يعني هيكون هندي أنا صحيحت، خلاصت، روحت على
+
+111
+00:07:20,900 --> 00:07:24,640
+طريق ممهد، بس هذا الطريق الممهد طريق التفافي و
+
+112
+00:07:24,640 --> 00:07:29,400
+بعيد جدا، بدل ما أنا أقطع kilometer متعرجI went to
+
+113
+00:07:29,400 --> 00:07:32,940
+cross twenty kilometers of paved roads. So why
+
+114
+00:07:32,940 --> 00:07:36,280
+don't I choose a middle road that is not too far
+
+115
+00:07:36,280 --> 00:07:37,900
+away, for example one and a half kilometers, two
+
+116
+00:07:37,900 --> 00:07:40,900
+kilometers long? So this is if I were driving a
+
+117
+00:07:40,900 --> 00:07:44,580
+car and moving between point A and point Bوهذا
+
+118
+00:07:44,580 --> 00:07:48,120
+حقيقة تبقى بيقول أنسب المسارات هو المسار رقم اتنين
+
+119
+00:07:48,120 --> 00:07:52,980
+لأن طوله في الزجاج مش كبير وطوله الكل مش مفرط
+
+120
+00:07:52,980 --> 00:07:57,500
+فبالتالي من ناحية مبدأ فرمات الضوء مفروض يتبع
+
+121
+00:07:57,500 --> 00:08:03,180
+الطريق رقم اتنين مش مفروض يتبع الطريق رقم واحد مش
+
+122
+00:08:03,180 --> 00:08:07,920
+مفروض يتبع الطريق رقم واحد لأن طوله في الزجاج او
+
+123
+00:08:07,920 --> 00:08:13,840
+طوله الكل مفرطit's very long and it's not supposed
+
+124
+00:08:13,840 --> 00:08:18,600
+to follow the path number three because its length
+
+125
+00:08:18,600 --> 00:08:23,020
+.. or its length inside the glass is big and
+
+126
+00:08:23,020 --> 00:08:25,380
+therefore it's the longest piece in the glass
+
+127
+00:08:25,380 --> 00:08:28,640
+number three the path number three is if the light
+
+128
+00:08:28,640 --> 00:08:31,480
+goes from here to here it will be longer than the
+
+129
+00:08:31,480 --> 00:08:33,180
+distance from here to here and longer than the
+
+130
+00:08:33,180 --> 00:08:35,350
+distance from here to herebecause if therefore ..
+
+131
+00:08:35,350 --> 00:08:37,210
+and therefore the length of the glass is complex,
+
+132
+00:08:37,390 --> 00:08:39,650
+therefore this way is not suitable. A person can
+
+133
+00:08:39,650 --> 00:08:41,970
+say no, the light as long as it reaches the point,
+
+134
+00:08:42,130 --> 00:08:43,890
+this means that it will continue. We will say no,
+
+135
+00:08:43,930 --> 00:08:46,250
+because the light fell in a curved way with
+
+136
+00:08:46,250 --> 00:08:49,130
+respect to the flat surface, then it will break,
+
+137
+00:08:49,390 --> 00:08:52,190
+it will not remain straight, that is, and if it
+
+138
+00:08:52,190 --> 00:08:55,310
+breaks, it will not reach point B. If it breaks,
+
+139
+00:08:55,530 --> 00:08:58,270
+it will remain on point B. Therefore, the light
+
+140
+00:08:58,270 --> 00:09:02,070
+will go in the way of Islam .. in the way of Islam
+
+141
+00:09:02,070 --> 00:09:08,930
+which is ..the path B, and this path is if we
+
+142
+00:09:08,930 --> 00:09:11,490
+calculate it in a mathematical way, we will find
+
+143
+00:09:11,490 --> 00:09:15,850
+that it exactly applies to the law of contraction,
+
+144
+00:09:16,070 --> 00:09:19,550
+so the mouse will take the shortest way in terms
+
+145
+00:09:19,550 --> 00:09:23,470
+of time, the shortest way in terms of time, so we
+
+146
+00:09:23,470 --> 00:09:28,010
+say, unaware of Snell's law, if we assume that we
+
+147
+00:09:28,010 --> 00:09:31,210
+are not aware of Snell's law, that Snell's law,
+
+148
+00:09:31,610 --> 00:09:33,470
+the law of contraction, has not been discovered
+
+149
+00:09:33,470 --> 00:09:38,030
+yetwe might consider various hypothetical paths
+
+150
+00:09:38,030 --> 00:09:41,190
+that light might follow as it moves from point A
+
+151
+00:09:41,190 --> 00:09:42,190
+to point B.
+
+152
+00:09:50,380 --> 00:09:54,200
+Path 3 is a straight line from A to B and is the
+
+153
+00:09:54,200 --> 00:09:57,860
+shortest total distance between points. طبعا path
+
+154
+00:09:57,860 --> 00:10:02,920
+3 يعتبر طريق مستقيم بين A و B مفروض أنه مسافة
+
+155
+00:10:02,920 --> 00:10:07,320
+يعتبر الأقصى. However, a large part جزء كبير of
+
+156
+00:10:07,320 --> 00:10:11,020
+path 3 inside glass where light travels more
+
+157
+00:10:11,020 --> 00:10:15,200
+slowly. إذا path 3 is not the fastest route مش هو
+
+158
+00:10:15,200 --> 00:10:19,460
+الأسرع أو مش هو الطريق الأسرعPath 1 is the longest
+
+159
+00:10:19,460 --> 00:10:22,920
+route from A to B, but has the shortest distance
+
+160
+00:10:22,920 --> 00:10:27,160
+in a class. It is true that path 1 is very long,
+
+161
+00:10:27,340 --> 00:10:30,120
+but it is the shortest distance in the three paths
+
+162
+00:10:30,120 --> 00:10:33,860
+in a class. His share in the class is very small,
+
+163
+00:10:34,500 --> 00:10:36,960
+so he will not get used to the class.
+
+164
+00:10:39,630 --> 00:10:43,110
+Nevertheless, على الرغم من ذلك, the extreme length
+
+165
+00:10:43,110 --> 00:10:46,430
+of the overall route makes this fairly slow path
+
+166
+00:10:46,430 --> 00:10:58,230
+.Path
+
+167
+00:10:58,230 --> 00:11:02,730
+2 is the best compromise between distance in glass
+
+168
+00:11:02,730 --> 00:11:06,990
+and total path length, and this is the path light
+
+169
+00:11:06,990 --> 00:11:11,100
+will actually follow.طبعا الطريق رقم اتنين هو
+
+170
+00:11:11,100 --> 00:11:15,660
+عبارة عن حل وسط بين طول المفرد، طبعا هو طول أقل من
+
+171
+00:11:15,660 --> 00:11:20,340
+مفرد، يعني طول معتدل و بين المسافة في الإجزاز اللي
+
+172
+00:11:20,340 --> 00:11:23,760
+هي طويلة، طبعا هو حل وسط بين اتنين و هو الحل
+
+173
+00:11:23,760 --> 00:11:27,160
+الأنسب، و هو الحل الأنسب Using mathematics beyond
+
+174
+00:11:27,160 --> 00:11:30,780
+the scope of this text, it can be shown that the
+
+175
+00:11:30,780 --> 00:11:35,660
+optimal path is the one predicted by Snell's lawOf
+
+176
+00:11:35,660 --> 00:11:39,300
+course, if we use mathematics, we will find that
+
+177
+00:11:39,300 --> 00:11:42,420
+the light travels in the best direction at any
+
+178
+00:11:42,420 --> 00:11:44,080
+given time, each ray, of course, depending on
+
+179
+00:11:44,080 --> 00:11:47,340
+where is the point where it happened, or the point
+
+180
+00:11:47,340 --> 00:11:49,520
+where it got stuck in the roof, and that this
+
+181
+00:11:49,520 --> 00:11:53,440
+speech applies exactly to the path that Snell's
+
+182
+00:11:53,440 --> 00:11:56,180
+law determined, that is, if I brought a ray of
+
+183
+00:11:56,180 --> 00:11:57,200
+light that went up, went down, went up and down,
+
+184
+00:11:57,380 --> 00:12:01,300
+each of them hit exactly the point of the roofI
+
+185
+00:12:01,300 --> 00:12:03,400
+mean, the letter C is here, and the letter S is
+
+186
+00:12:03,400 --> 00:12:06,840
+here, and the letter I is here, and I calculated
+
+187
+00:12:06,840 --> 00:12:10,060
+mathematically using Fermat's principle, I will
+
+188
+00:12:10,060 --> 00:12:12,880
+get that C will be like this, and S will be like
+
+189
+00:12:12,880 --> 00:12:15,900
+this, and I will be like this If I stop using
+
+190
+00:12:15,900 --> 00:12:19,400
+Fermat's principle, and I use Snell's law, I will
+
+191
+00:12:19,400 --> 00:12:24,040
+find that the path is the same path that Fermat's
+
+192
+00:12:24,040 --> 00:12:25,420
+principle defined, which means Fermat's principle,
+
+193
+00:12:25,620 --> 00:12:29,220
+I can use his method to get Snell's law
+
+194
+00:12:33,210 --> 00:12:36,770
+and that's why it produces that Snell's law is a
+
+195
+00:12:36,770 --> 00:12:39,190
+consequence of Fermat principle which means that
+
+196
+00:12:39,190 --> 00:12:43,790
+we can consider that the law of economics is one
+
+197
+00:12:43,790 --> 00:12:46,490
+of the fruits of Fermat's principle or it is
+
+198
+00:12:46,490 --> 00:12:51,750
+possible that I define the path of the light beam
+
+199
+00:12:51,750 --> 00:12:55,310
+inside the other substance by using either Snell's
+
+200
+00:12:55,310 --> 00:12:58,410
+law or Fermat's principle and this will lead to
+
+201
+00:12:58,410 --> 00:13:02,170
+the same result and it will be correct in both
+
+202
+00:13:02,170 --> 00:13:06,010
+casesOkay, what is the concept of Fermat in
+
+203
+00:13:06,010 --> 00:13:09,750
+general? The Fermat principle is an important
+
+204
+00:13:09,750 --> 00:13:13,110
+conceptual and practical tool. The concept of
+
+205
+00:13:13,110 --> 00:13:16,990
+optical path length enhances the practical utility
+
+206
+00:13:16,990 --> 00:13:19,590
+of this principle. Of course, the concept of
+
+207
+00:13:19,590 --> 00:13:23,830
+Fermat is a tool that explains many things. The
+
+208
+00:13:23,830 --> 00:13:29,240
+concept of Fermat is a toolan important process to
+
+209
+00:13:29,240 --> 00:13:32,520
+understand some things and among them we will have
+
+210
+00:13:32,520 --> 00:13:37,480
+a new term called optical path length طول الممر
+
+211
+00:13:37,480 --> 00:13:42,340
+البصري طول الممر البصري طول الممر البصري طول الممر
+
+212
+00:13:42,340 --> 00:13:47,580
+البصري طول الممر البصري طول الممر البصري طول الممر
+
+213
+00:13:47,580 --> 00:13:49,980
+البصري طول الممر البصري طول الممر البصري طول الممر
+
+214
+00:13:49,980 --> 00:13:50,920
+البصري طول الممر البصري طول الممر البصري طول الممر
+
+215
+00:13:50,920 --> 00:13:53,660
+البصري طول الممر البصري طول الممر البصري طول الممر
+
+216
+00:13:53,660 --> 00:13:54,040
+البصري طول الممر البصري طول الممر البصري طول الممر
+
+217
+00:13:54,040 --> 00:13:54,400
+البصري طول الممر البصري طول الممر البصري طول الممر
+
+218
+00:13:54,400 --> 00:13:54,400
+البصري طول الممر البصري طول الممر البصري طول الممر
+
+219
+00:13:54,400 --> 00:13:54,400
+البصري طول الممر البصري طول الممر البصري طول الممر
+
+220
+00:13:54,400 --> 00:13:56,980
+البصري طول الممر البصري طووصل للنقطة B في الفراغ
+
+221
+00:13:56,980 --> 00:14:01,320
+معناته بانجيس المسافة بين A وB و هذا هو طول
+
+222
+00:14:01,320 --> 00:14:05,720
+المنارد البصري فنقول لأ الضوء لما سرق من النقطة A
+
+223
+00:14:05,720 --> 00:14:09,500
+وفي النهاية وصل للنقطة B عدى في طريقه على
+
+224
+00:14:09,500 --> 00:14:13,460
+different media على أوساط بصرية مختلفة يعني الضوء
+
+225
+00:14:13,460 --> 00:14:17,820
+مثلا سرق متر و نص في الهواء و بعدين دخل حوض مثلا
+
+226
+00:14:17,820 --> 00:14:21,520
+مليان ميه تمامThe distance of the whale is 40 cm,
+
+227
+00:14:21,640 --> 00:14:27,740
+then it left the whale and entered a third
+
+228
+00:14:27,740 --> 00:14:30,140
+substance, for example, glass or something of this
+
+229
+00:14:30,140 --> 00:14:33,680
+kind. So, we can't get a direct measurement and
+
+230
+00:14:33,680 --> 00:14:36,840
+say, by God, that this is the length of the eye
+
+231
+00:14:36,840 --> 00:14:39,120
+path that cut off the light. No. The purpose of
+
+232
+00:14:39,120 --> 00:14:42,760
+the optical path length is to unite the media.
+
+233
+00:14:42,860 --> 00:14:44,420
+What does it mean to unite the media? The light
+
+234
+00:14:44,420 --> 00:14:47,630
+went into three or fourvisual medium between
+
+235
+00:14:47,630 --> 00:14:50,470
+Sarayano in the air, then in the water, then in
+
+236
+00:14:50,470 --> 00:14:53,350
+the glass, then in the air again, for example, to
+
+237
+00:14:53,350 --> 00:14:55,790
+know exactly how much is Sarayano and how much is
+
+238
+00:14:55,790 --> 00:14:57,970
+the length of the visual path, it is necessary to
+
+239
+00:14:57,970 --> 00:15:00,690
+unify the media, to turn all the media into one
+
+240
+00:15:00,690 --> 00:15:04,270
+substance. What does this look like in our
+
+241
+00:15:04,270 --> 00:15:06,610
+practical life? We say this looks like a person,
+
+242
+00:15:06,690 --> 00:15:09,290
+for example, Ahmed and Mahmoud. Ahmed has ten
+
+243
+00:15:09,290 --> 00:15:13,120
+dollars and twenty shekels and fifty dinars.and
+
+244
+00:15:13,120 --> 00:15:16,480
+Mahmoud has for example 10 dananir and 50 dollars
+
+245
+00:15:16,480 --> 00:15:19,580
+and 70 shekels if we want to compare Ahmed and
+
+246
+00:15:19,580 --> 00:15:24,280
+Mahmoud, who has more coins, we have to unite the
+
+247
+00:15:24,280 --> 00:15:26,320
+coins, for example we turn all the coins into
+
+248
+00:15:26,320 --> 00:15:29,300
+shekels and the other person turns all the coins
+
+249
+00:15:29,300 --> 00:15:33,800
+into shekels and in the end he will share with
+
+250
+00:15:33,800 --> 00:15:37,440
+Ahmed a quantity of the shekels and share with
+
+251
+00:15:37,440 --> 00:15:39,870
+Mahmoud another quantity of the shekelsand we will
+
+252
+00:15:39,870 --> 00:15:43,490
+see which one of them has more money than the
+
+253
+00:15:43,490 --> 00:15:46,530
+other one here to see the length of the first
+
+254
+00:15:46,530 --> 00:15:48,590
+visual path that cut off the light and the length
+
+255
+00:15:48,590 --> 00:15:51,970
+of the visual path that cut off the light from
+
+256
+00:15:51,970 --> 00:15:54,310
+another source which one of them is longer, we
+
+257
+00:15:54,310 --> 00:15:56,870
+must unite the media what does it mean to unite
+
+258
+00:15:56,870 --> 00:15:59,770
+the media? to unite the media means to turn it all
+
+259
+00:15:59,770 --> 00:16:03,250
+into air to turn it all into air to understand
+
+260
+00:16:03,250 --> 00:16:10,220
+this case we will make a very simple exampleبنقول
+
+261
+00:16:10,220 --> 00:16:16,480
+نفرض عندي مصدرين للضوء مصدرين للضوء المصدر الأول
+
+262
+00:16:16,480 --> 00:16:19,820
+الضوء
+
+263
+00:16:19,820 --> 00:16:24,500
+light سرف
+
+264
+00:16:24,500 --> 00:16:32,620
+الهواء in air two meters و هنا بنجوسين هكتب رقم
+
+265
+00:16:32,620 --> 00:16:36,400
+واحد الرقم واحد هنا الان تساوي واحد الان يعني
+
+266
+00:16:36,400 --> 00:16:49,080
+refractive indexone equals one then then water for
+
+267
+00:16:49,080 --> 00:16:54,400
+example ninety centimeters of course now I want to
+
+268
+00:16:54,400 --> 00:16:59,860
+assume that the water is equal to one third of ten
+
+269
+00:16:59,860 --> 00:17:03,820
+then
+
+270
+00:17:03,820 --> 00:17:07,080
+glass
+
+271
+00:17:10,980 --> 00:17:17,960
+عشرين سانتي يعني صرف الزجاج عشرين سانتي طيب الزجاج
+
+272
+00:17:17,960 --> 00:17:22,160
+واحد و نص الان تعو يعني ال refractive index تعو
+
+273
+00:17:22,160 --> 00:17:26,660
+الان المطلوب يعني الضوء صرف الهواء مسافة مترين
+
+274
+00:17:26,660 --> 00:17:31,860
+بعدها دخل على حوض مية تسعين سانتي طوله قطع الماء و
+
+275
+00:17:31,860 --> 00:17:36,620
+بعدين صرفي الزجاج عشرين سانتي بدنا نحسب ال optical
+
+276
+00:17:36,620 --> 00:17:37,460
+path length
+
+277
+00:17:43,280 --> 00:17:48,320
+Calculate the optical path length. What does
+
+278
+00:17:48,320 --> 00:17:50,760
+calculate the optical path length mean? Calculate
+
+279
+00:17:50,760 --> 00:17:55,160
+the
+
+280
+00:17:55,160 --> 00:17:56,440
+optical path length.
+
+281
+00:17:59,340 --> 00:18:01,480
+When we say calculate the length of the visual
+
+282
+00:18:01,480 --> 00:18:06,880
+path, it means in time, in time, and I hope to
+
+283
+00:18:06,880 --> 00:18:09,870
+focus on the speech now.In the time that the light
+
+284
+00:18:09,870 --> 00:18:12,730
+cuts two meters in the air and ninety centimeters
+
+285
+00:18:12,730 --> 00:18:16,250
+in water and twenty centimeters in glass, if we
+
+286
+00:18:16,250 --> 00:18:20,270
+assume that the light became silent in the same
+
+287
+00:18:20,270 --> 00:18:23,370
+time, if the distance became in the air, how long
+
+288
+00:18:23,370 --> 00:18:26,710
+would it cut? If the light remained in the air, if
+
+289
+00:18:26,710 --> 00:18:29,970
+the light remained in the airIt was not a fraction
+
+290
+00:18:29,970 --> 00:18:31,570
+of a distance, it was a fraction of a distance.
+
+291
+00:18:31,570 --> 00:18:33,950
+The real distance that light travels is equal to
+
+292
+00:18:33,950 --> 00:18:37,350
+two meters, plus ninety centimeters, plus twenty
+
+293
+00:18:37,350 --> 00:18:40,110
+centimeters. That is, the distance that light
+
+294
+00:18:40,110 --> 00:18:43,210
+actually travels in this experiment is two meters
+
+295
+00:18:43,210 --> 00:18:45,930
+in the air, ninety centimeters in water, and
+
+296
+00:18:45,930 --> 00:18:48,110
+twenty centimeters in glass. That is, the total
+
+297
+00:18:48,110 --> 00:18:51,430
+distance is three meters and ten centimeters.تلاتة
+
+298
+00:18:51,430 --> 00:18:55,350
+متر و عشرة، لأن عشرين و تسعين يعني مية و عشرة
+
+299
+00:18:55,350 --> 00:18:58,830
+سانتي، يعني متر و عشرة سانتي، مية و عشرة سانتي
+
+300
+00:18:58,830 --> 00:19:01,890
+يعني متر و عشرة سانتي، بنضيف عليهم مترين، يعني
+
+301
+00:19:01,890 --> 00:19:08,340
+حقيقة القطع قطع3 meters and 10 centimeters. Okay,
+
+302
+00:19:08,600 --> 00:19:10,560
+if we assume that the light did not go into the
+
+303
+00:19:10,560 --> 00:19:13,400
+water or into the glass, but remained in the air,
+
+304
+00:19:13,700 --> 00:19:16,300
+in the same period of time that it passed two
+
+305
+00:19:16,300 --> 00:19:18,580
+meters in the air and 90 centimeters in the water
+
+306
+00:19:18,580 --> 00:19:22,560
+and 20 centimeters in the glass, how much did it
+
+307
+00:19:22,560 --> 00:19:25,290
+pass in the air in the same period of time?In
+
+308
+00:19:25,290 --> 00:19:27,710
+order to know, we need to unify the media. To
+
+309
+00:19:27,710 --> 00:19:30,010
+unify the media, we multiply each distance in the
+
+310
+00:19:30,010 --> 00:19:33,030
+refractive index of the material that has this
+
+311
+00:19:33,030 --> 00:19:36,070
+distance. We say the optical path length is the
+
+312
+00:19:36,070 --> 00:19:36,330
+answer.
+
+313
+00:19:39,170 --> 00:19:41,270
+The solution of this example is to say that the
+
+314
+00:19:41,270 --> 00:19:45,550
+optical path length is equal to two meters
+
+315
+00:19:45,550 --> 00:19:50,670
+multiplied by one because the refractive index is
+
+316
+00:19:50,670 --> 00:19:52,010
+one plus
+
+317
+00:19:55,310 --> 00:20:04,350
+90 cm means 9 out of 10 meters, 0.9 times, this is
+
+318
+00:20:04,350 --> 00:20:07,310
+in the water of course, so to change its path to
+
+319
+00:20:07,310 --> 00:20:09,890
+the water, as if it happened in the air, I need to
+
+320
+00:20:09,890 --> 00:20:13,950
+say times 1.3 out of 10 plus,
+
+321
+00:20:16,190 --> 00:20:17,610
+let's move away from the plus a little bit
+
+322
+00:20:20,750 --> 00:20:25,010
+in water 20 cm means 2 out of 10 meters multiply
+
+323
+00:20:25,010 --> 00:20:31,070
+by 1.5 equals
+
+324
+00:20:31,070 --> 00:20:39,510
+we
+
+325
+00:20:39,510 --> 00:20:45,650
+say as follows 2 meters in 1 remains 2 meters plus
+
+326
+00:20:45,650 --> 00:20:48,450
+9 out of 10 meters here
+
+327
+00:20:52,440 --> 00:20:57,960
+and here 2 out of 10 meters 2 out of 10 meters 2
+
+328
+00:20:57,960 --> 00:21:00,700
+meters multiplied by 1 remains 2 meters plus 9 out
+
+329
+00:21:00,700 --> 00:21:05,000
+of 10 multiplied by 1.3 out of 10 9 out of 10
+
+330
+00:21:05,000 --> 00:21:15,960
+meters multiplied by 1.3 so one meter and
+
+331
+00:21:15,960 --> 00:21:18,600
+seventeen out of 100 meters and seventeen out of
+
+332
+00:21:18,600 --> 00:21:31,570
+100one point seventeen hundred meters plus two
+
+333
+00:21:31,570 --> 00:21:34,770
+out of ten times one and a half two out of ten
+
+334
+00:21:34,770 --> 00:21:37,350
+times one and a half equals
+
+335
+00:21:50,710 --> 00:22:01,770
+3 out of 10, 3 out of 10 meters and
+
+336
+00:22:01,770 --> 00:22:08,330
+it equals we
+
+337
+00:22:08,330 --> 00:22:10,810
+want to combine these with each other the sum we
+
+338
+00:22:10,810 --> 00:22:16,010
+say as follows 2,1,3 point
+
+339
+00:22:18,630 --> 00:22:21,630
+seventeen out of one hundred and three out of ten
+
+340
+00:22:21,630 --> 00:22:25,150
+to forty-seven out of one hundred. Forty-seven out
+
+341
+00:22:25,150 --> 00:22:27,790
+of one hundred meters. This is the answer. It
+
+342
+00:22:27,790 --> 00:22:31,450
+means in time, in time that light passed through
+
+343
+00:22:31,450 --> 00:22:35,310
+ittwo meters in the air and ninety centimeters in
+
+344
+00:22:35,310 --> 00:22:39,330
+the water and twenty centimeters in the glass in a
+
+345
+00:22:39,330 --> 00:22:43,050
+full length of three meters and ten centimeters if
+
+346
+00:22:43,050 --> 00:22:45,170
+they stayed in the air, if they stayed to light in
+
+347
+00:22:45,170 --> 00:22:46,890
+the air, they would have crossed not three meters
+
+348
+00:22:46,890 --> 00:22:48,530
+and ten centimeters, they would have crossed three
+
+349
+00:22:48,530 --> 00:22:51,710
+meters and forty-seven centimeters this is the
+
+350
+00:22:51,710 --> 00:22:54,290
+optical path length, this is the optical path
+
+351
+00:22:54,290 --> 00:22:56,870
+length to light really crossed two meters, then
+
+352
+00:22:56,870 --> 00:22:59,690
+ninety centimeters and then twenty centimeters in
+
+353
+00:22:59,690 --> 00:23:05,670
+the glass, their totalمجموعهم المباشر مترين وتسعة
+
+354
+00:23:05,670 --> 00:23:08,570
+من عشرة متر واتنين من عشرة متر يعني تلاتة متر
+
+355
+00:23:08,570 --> 00:23:12,790
+وعشرة سانت لو الضوء فرضنا دال في الهواء ولا دخل
+
+356
+00:23:12,790 --> 00:23:17,100
+ميه ولا دخل اجزاز معناته الضوءin the same period
+
+357
+00:23:17,100 --> 00:23:20,060
+of time, the one who used to cut 2 meters in the
+
+358
+00:23:20,060 --> 00:23:23,340
+air and 90 centimeters in water and 20 centimeters
+
+359
+00:23:23,340 --> 00:23:27,940
+in glass would cut in the air 3 meters and 47
+
+360
+00:23:27,940 --> 00:23:30,620
+centimeters instead of cutting in these three
+
+361
+00:23:30,620 --> 00:23:33,540
+materials together 3 meters and 10 centimeters and
+
+362
+00:23:33,540 --> 00:23:36,260
+this is what is meant in the optical path length
+
+363
+00:23:37,620 --> 00:23:41,100
+tell me about what is it? The unification of media
+
+364
+00:23:41,100 --> 00:23:44,360
+exactly like we unify currency The unification of
+
+365
+00:23:44,360 --> 00:23:46,860
+media transforms all distances as if they happened
+
+366
+00:23:46,860 --> 00:23:49,420
+in the air How do I transform it? I multiply each
+
+367
+00:23:49,420 --> 00:23:52,140
+distance in a matter that is in the refractive
+
+368
+00:23:52,140 --> 00:23:56,040
+index of this matter and thus it turns out how
+
+369
+00:23:56,040 --> 00:23:58,220
+much light was going to happen in the air, was
+
+370
+00:23:58,220 --> 00:24:00,440
+going to happen in the air if it is multiplied by
+
+371
+00:24:00,440 --> 00:24:03,220
+that in the same time that happened in a certain
+
+372
+00:24:03,220 --> 00:24:05,780
+distance in the same matter, in the same matter
+
+373
+00:24:11,810 --> 00:24:14,370
+The following figure shows light from an object
+
+374
+00:24:14,370 --> 00:24:18,310
+point traveling along two different paths to the
+
+375
+00:24:18,310 --> 00:24:21,230
+image point. لو احنا اجينا هنقول ايش فايدة ال
+
+376
+00:24:21,230 --> 00:24:25,730
+optical path links احنا هناخد نقطة من ال object و
+
+377
+00:24:25,730 --> 00:24:29,690
+هاي صورتها في ال image بنقول الضوء هينتشر في جميع
+
+378
+00:24:29,690 --> 00:24:33,440
+الاتجاهات بس احنا هناخدTwo paths, two paths,
+
+379
+00:24:34,000 --> 00:24:37,340
+meaning the light followed them. To explain the
+
+380
+00:24:37,340 --> 00:24:40,500
+idea of optical path length, optical path length,
+
+381
+00:24:40,660 --> 00:24:43,140
+we say that the first path, the light started from
+
+382
+00:24:43,140 --> 00:24:46,440
+point A and broke at the front surface and broke a
+
+383
+00:24:46,440 --> 00:24:49,580
+little at the back surface and reached I which is
+
+384
+00:24:49,580 --> 00:24:54,540
+the emissionand it also took another ray or a
+
+385
+00:24:54,540 --> 00:24:58,000
+group of rays took the second path If we notice,
+
+386
+00:24:58,260 --> 00:25:01,220
+if we notice, the first path is much shorter and
+
+387
+00:25:01,220 --> 00:25:05,060
+the second path is much longer So, for the picture
+
+388
+00:25:05,060 --> 00:25:08,000
+to be clear and to connect, it must connect with
+
+389
+00:25:08,000 --> 00:25:10,380
+each other, the rays connect with each other Why
+
+390
+00:25:10,380 --> 00:25:12,740
+do the rays have to connect with each other? We
+
+391
+00:25:12,740 --> 00:25:15,600
+give an example from practical life, we say if a
+
+392
+00:25:15,600 --> 00:25:21,590
+person لو إنسان اتفق مع عشر أشخاصthey meet at a
+
+393
+00:25:21,590 --> 00:25:25,550
+certain place to go on a trip, okay? One comes at
+
+394
+00:25:25,550 --> 00:25:29,550
+ten in the morning at this agreed place to go on a
+
+395
+00:25:29,550 --> 00:25:32,050
+trip One comes at ten and a quarter, one comes at
+
+396
+00:25:32,050 --> 00:25:33,990
+ten and a half, one comes at eleven to the third,
+
+397
+00:25:34,070 --> 00:25:36,350
+one comes at eleven and .. In the end, this is not
+
+398
+00:25:36,350 --> 00:25:38,110
+a trip because they will not meet and gather
+
+399
+00:25:38,110 --> 00:25:42,070
+together at the same time so that later they can
+
+400
+00:25:42,070 --> 00:25:45,530
+go on their trip And also things started at a
+
+401
+00:25:45,530 --> 00:25:48,610
+certain moment from a point from the objectLazim
+
+402
+00:25:48,610 --> 00:25:52,730
+غالبا تصل في نفس اللحظة ل ال image point ل ال
+
+403
+00:25:52,730 --> 00:25:56,930
+image point اذا انطلقت في نفس اللحظة من A لازم تصل
+
+404
+00:25:56,930 --> 00:26:00,650
+في نفس ال .. او .. او .. تصل في نفس المدة الزمنية
+
+405
+00:26:00,650 --> 00:26:05,050
+ل A شرطة اللي هي سورة A طب كيف هذا بده يتوفر ..
+
+406
+00:26:05,050 --> 00:26:09,350
+كيف هذا بده يتوفر اذا كان انا عندي في مصار للضوء ل
+
+407
+00:26:09,350 --> 00:26:15,390
+بعض او لحزمة شعاعية انطلقت عبر ممر الأولو مسافتها
+
+408
+00:26:15,390 --> 00:26:19,090
+أقصر و الحزمة الشععية التانية طلقت عبر الممر
+
+409
+00:26:19,090 --> 00:26:22,230
+التاني و مسافتها أطول كده دم يصلوا في نفس الميعاد
+
+410
+00:26:22,230 --> 00:26:26,890
+بنقول أه، الان صحيح ال path one أقصر ولكن هيعدي من
+
+411
+00:26:26,890 --> 00:26:30,870
+منطقة سميكة من الزجاج فهيتأخر لإن الضوء في الزجاج
+
+412
+00:26:30,870 --> 00:26:36,290
+بيكون أبطأwhile the path to .. the path to .. its
+
+413
+00:26:36,290 --> 00:26:38,910
+distance is longer but it will pass through less
+
+414
+00:26:38,910 --> 00:26:42,190
+glass and therefore it will be slower and
+
+415
+00:26:42,190 --> 00:26:46,830
+therefore they will connect together here .. here
+
+416
+00:26:46,830 --> 00:26:50,050
+there is a very important point what is this
+
+417
+00:26:50,050 --> 00:26:54,370
+point? the point says that the surface of the lens
+
+418
+00:26:54,370 --> 00:26:56,010
+or the surface of the optical system must be
+
+419
+00:26:56,010 --> 00:27:00,860
+formed so that the path ..one zamanian و المصار
+
+420
+00:27:00,860 --> 00:27:04,020
+اتنين زمانيا و المصار تلاتة زمانيا و المصار اربعة
+
+421
+00:27:04,020 --> 00:27:08,240
+زمانيا يكونوا متكافئين او متساوين بحيث انه الأشعة
+
+422
+00:27:08,240 --> 00:27:12,860
+بغض النظر عدت من اي منطقة من ال optical system او
+
+423
+00:27:12,860 --> 00:27:16,890
+من العدسة يكون ال optical path length بتاعكone is
+
+424
+00:27:16,890 --> 00:27:19,630
+equal to the optical path length of two is equal
+
+425
+00:27:19,630 --> 00:27:23,630
+to three to four to five to six and so on. Why? So
+
+426
+00:27:23,630 --> 00:27:25,610
+that the rays can connect with each other, so that
+
+427
+00:27:25,610 --> 00:27:29,590
+the image can be formed in a correct and correct
+
+428
+00:27:29,590 --> 00:27:32,210
+way, and there is no delay in one beam of light
+
+429
+00:27:32,210 --> 00:27:35,210
+from another beam of light. And this is what we
+
+430
+00:27:35,210 --> 00:27:38,330
+read.According to Fermati principle for both
+
+431
+00:27:38,330 --> 00:27:41,590
+paths, path 1 and path 2, to intersect at the
+
+432
+00:27:41,590 --> 00:27:44,710
+image point, time required to travel from object
+
+433
+00:27:44,710 --> 00:27:48,570
+to image point, or alternatively, the optical path
+
+434
+00:27:48,570 --> 00:27:51,510
+lengths must be absolutely identical for each
+
+435
+00:27:51,510 --> 00:27:54,290
+path. In order to form the image, the path must
+
+436
+00:27:54,290 --> 00:27:57,230
+intersect at the first path, consume time, the
+
+437
+00:27:57,230 --> 00:27:59,430
+same time that was consumed in the second path,
+
+438
+00:27:59,510 --> 00:28:03,430
+that is, the optical path lengths, path A or path
+
+439
+00:28:03,430 --> 00:28:07,620
+1,optical path length on path 2 if the time
+
+440
+00:28:07,620 --> 00:28:11,220
+required for light to travel along each path path
+
+441
+00:28:11,220 --> 00:28:13,920
+is not exactly identical the path will not
+
+442
+00:28:13,920 --> 00:28:22,620
+intersect at the image point light traveling
+
+443
+00:28:22,620 --> 00:28:26,940
+path 1 from object to image point traverses
+
+444
+00:28:26,940 --> 00:28:30,120
+relatively thick part of the lens which is the
+
+445
+00:28:30,120 --> 00:28:34,950
+light that travels through path 1thick lens, عبر
+
+446
+00:28:34,950 --> 00:28:38,350
+thick lens وعشان هي بتعوج رغم أنه طوله قليل إلا
+
+447
+00:28:38,350 --> 00:28:42,550
+أنه هيتعوج هنا فتعويج to high هتخلي الضوء اللي سلك
+
+448
+00:28:42,550 --> 00:28:46,790
+المسرق التاني يعني يلحجوا و التانين يلتقوا في
+
+449
+00:28:46,790 --> 00:28:47,730
+الimage
+
+450
+00:28:49,910 --> 00:28:52,990
+Light travelling the longer path to goes through
+
+451
+00:28:52,990 --> 00:28:56,930
+less lens .. less glass if the lens is properly
+
+452
+00:28:56,930 --> 00:29:01,570
+shaped و هذا هو مربط الفرس و هذا هو أهم إشي ضروري
+
+453
+00:29:01,570 --> 00:29:05,970
+يكون ال lens شكلها و الانحناق بتاعها مناسببشكل
+
+454
+00:29:05,970 --> 00:29:09,710
+proper، بشكل مناسب، the greater distance in air is
+
+455
+00:29:09,710 --> 00:29:13,450
+perfectly compensated for by the shorter distance
+
+456
+00:29:13,450 --> 00:29:17,790
+in glass صحيح الممر التاني هيعدي .. هيكون طويل، بس
+
+457
+00:29:17,790 --> 00:29:21,650
+لأنه هيعدي من منطقة رفيعة من ال .. من العدسة، مش
+
+458
+00:29:21,650 --> 00:29:25,870
+هيتأخر كتير، فبالتالي هيقدر يوصل ل ال image point
+
+459
+00:29:25,870 --> 00:29:30,590
+بنفس الزمن اللي وصل الأشعة اللي عبرت عبر ممر ايه؟
+
+460
+00:29:30,590 --> 00:29:35,750
+عبر ممر ايه؟If the lens is properly shaped, the
+
+461
+00:29:35,750 --> 00:29:39,810
+greater distance in air for path 2 is perfectly
+
+462
+00:29:39,810 --> 00:29:44,950
+compensated by the shorter distance in glass. So
+
+463
+00:29:44,950 --> 00:29:47,830
+the time required to travel from object to image
+
+464
+00:29:56,010 --> 00:30:00,230
+بعبارة أخرى ال optical path length is identical
+
+465
+00:30:00,230 --> 00:30:06,050
+for both paths وبنتوقف عند هذه النقطة اللي شرحنا
+
+466
+00:30:06,050 --> 00:30:08,450
+فيها ال optical path length وحنلاقي ان شاء الله
+
+467
+00:30:08,450 --> 00:30:12,970
+تمارين، هحاول أنزل تمارين على ال model لحساب ال
+
+468
+00:30:12,970 --> 00:30:16,950
+optical path length ويعطيكم العافية والسلام عليكم
+
+469
+00:30:16,950 --> 00:30:18,670
+ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/2BZ4a5vb3gE.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/2BZ4a5vb3gE.srt
new file mode 100644
index 0000000000000000000000000000000000000000..424ecbaf1e70ed42bc61cff60cc2f9b1eb9e6678
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/2BZ4a5vb3gE.srt
@@ -0,0 +1,1398 @@
+
+1
+00:00:01,550 --> 00:00:04,690
+بسم الله الرحمن الرحيم بنواصل محاضرات ال geometric 
+
+2
+00:00:04,690 --> 00:00:09,510
+optics وحكينا المرة الماضية عن the versions of
+
+3
+00:00:09,510 --> 00:00:13,110
+light الحالة التشتتية للضوء وقولنا الضوء بيوجد على 
+
+4
+00:00:13,110 --> 00:00:17,820
+تلت حالات لا رابع لها ان يكون متشتت, divergent إذا
+
+5
+00:00:17,820 --> 00:00:20,860
+كانوا صادر من real object، من object حقيقي زي
+
+6
+00:00:20,860 --> 00:00:24,620
+الشمعة، زي الشمس، زي المصباح الكهربائي، بيكون 
+
+7
+00:00:24,620 --> 00:00:27,660
+متشتت في جميع الإتجاهات، و ساعتها بيقول ال 
+
+8
+00:00:27,660 --> 00:00:30,900
+versions negative، ال versions تعطيه negative،
+
+9
+00:00:30,900 --> 00:00:34,450
+الحالة التشتتية تعطيه negative أو divergent or to
+
+10
+00:00:34,450 --> 00:00:37,510
+come from a place very far away and say about it
+
+11
+00:00:37,510 --> 00:00:42,050
+or to be parallel to each other, parallel light,
+
+12
+00:00:42,190 --> 00:00:43,830
+we say its divergence is zero, it is neither
+
+13
+00:00:43,830 --> 00:00:47,510
+negative nor positive or to be out of a lens going
+
+14
+00:00:47,510 --> 00:00:50,010
+to form the image, that is, it gathers to form the 
+
+15
+00:00:50,010 --> 00:00:52,690
+imageو ساعتها ال .. ال .. ال .. ال versions بتاع
+
+16
+00:00:52,690 --> 00:00:56,710
+ال light بيكون positive أو convergent light وقولنا 
+
+17
+00:00:56,710 --> 00:00:59,790
+ال versions بتوربطوا علاقة مع المسافة ال versions
+
+18
+00:00:59,790 --> 00:01:03,810
+بتاع ال light الحالة التشتتية للضوء بتختلف اختلاف
+
+19
+00:01:03,810 --> 00:01:07,230
+مسافة اللي .. اللي قطعها الضوء وقولنا ال .. ال
+
+20
+00:01:07,230 --> 00:01:10,830
+versions حقيقة هو عبارة لما يحسب و يساوي ال
+
+21
+00:01:10,830 --> 00:01:14,150
+reciprocal of the distance of the distance يعني
+
+22
+00:01:14,150 --> 00:01:18,130
+لما نقول احسب ال versions بتاع ال light احسب ال 
+
+23
+00:01:18,130 --> 00:01:22,460
+versions بتاع ال lightWe say that the vergence of 
+
+24
+00:01:22,460 --> 00:01:28,960
+the light is equal to one over the distance, one
+
+25
+00:01:28,960 --> 00:01:31,460
+over the distance For example, the light emitted 
+
+26
+00:01:31,460 --> 00:01:36,040
+from an object a certain distance This distance, 
+
+27
+00:01:37,680 --> 00:01:40,600
+to calculate the vergence of the light, vergence
+
+28
+00:01:42,520 --> 00:01:48,080
+يساوي واحد على ال distance، ال distance اللي قطعها 
+
+29
+00:01:48,080 --> 00:01:52,060
+ال ضُق، واحد على ال distance، يعني لما بنجيب مثلا 
+
+30
+00:01:52,060 --> 00:01:57,810
+صورة، بنقول الضُقIt started from object point, cut 
+
+31
+00:01:57,810 --> 00:02:00,550
+a distance, for example, at this point, at this
+
+32
+00:02:00,550 --> 00:02:05,130
+limit that I'm pointing at, we say, cut a distance 
+
+33
+00:02:05,130 --> 00:02:08,710
+of two meters, which means one over two meters, 
+
+34
+00:02:08,830 --> 00:02:14,450
+one over two meters is equal to half a meter minus 
+
+35
+00:02:14,450 --> 00:02:18,810
+one If we add up, we have to calculate the 
+
+36
+00:02:18,810 --> 00:02:27,650
+versions of lightOn a distance of 2 meters, we say
+
+37
+00:02:27,650 --> 00:02:31,430
+1 First, we put a minus sign because this is a 
+
+38
+00:02:31,430 --> 00:02:34,650
+divergent light A divergent light takes a minus 
+
+39
+00:02:34,650 --> 00:02:41,710
+sign We say 1 on a distance of 2 meters I get the 
+
+40
+00:02:41,710 --> 00:02:47,230
+result half minus half meter 
+
+41
+00:02:47,230 --> 00:02:48,970
+plus minus one 
+
+42
+00:02:56,360 --> 00:02:57,620
+I'll get minus one
+
+43
+00:03:14,240 --> 00:03:19,040
+Okay, so minus half meter minus one. If the 
+
+44
+00:03:19,040 --> 00:03:21,920
+distance was four meters, we say minus one over
+
+45
+00:03:21,920 --> 00:03:26,260
+four meters minus one. Okay, if I have the other 
+
+46
+00:03:26,260 --> 00:03:29,500
+side of the lens, the light is collected, for 
+
+47
+00:03:29,500 --> 00:03:32,140
+example, I have the light collected and it will
+
+48
+00:03:32,140 --> 00:03:33,020
+form the image 
+
+49
+00:03:43,540 --> 00:03:47,880
+it's going to create the image as the drawing will
+
+50
+00:03:47,880 --> 00:03:51,800
+show now
+
+51
+00:03:51,800 --> 00:03:58,000
+and
+
+52
+00:03:58,000 --> 00:04:04,080
+at this line or at this distance in spacedial of
+
+53
+00:04:04,080 --> 00:04:07,180
+light ..dial of light .. to get it to converge ..
+
+54
+00:04:07,180 --> 00:04:10,580
+it is converging .. convergent light ..dial of 
+
+55
+00:04:10,580 --> 00:04:12,100
+light is half a meter .. so the distance from here
+
+56
+00:04:12,100 --> 00:04:14,080
+to the image is half a meter .. how much the 
+
+57
+00:04:14,080 --> 00:04:18,120
+divergence of light at this point .. we will say
+
+58
+00:04:18,120 --> 00:04:24,800
+as the following .. divergence of distance is 
+
+59
+00:04:24,800 --> 00:04:30,370
+equal to one over the distanceNow we calculate the
+
+60
+00:04:30,370 --> 00:04:32,010
+distance not from the object but from the image
+
+61
+00:04:32,010 --> 00:04:34,670
+because now we are on the other side and we are 
+
+62
+00:04:34,670 --> 00:04:37,310
+working with the image and it is equal to one of 
+
+63
+00:04:37,310 --> 00:04:39,350
+course plus why plus because the light is 
+
+64
+00:04:39,350 --> 00:04:42,930
+convergent if it is on the side of the object and 
+
+65
+00:04:42,930 --> 00:04:45,410
+the light is divergent we give it a minus sign if 
+
+66
+00:04:45,410 --> 00:04:49,090
+it is convergent we give it a plus sign half a 
+
+67
+00:04:49,090 --> 00:04:50,650
+meter is left this distance is half a meter and it
+
+68
+00:04:50,650 --> 00:04:55,790
+forms the image so one plus one over half a meter 
+
+69
+00:05:00,710 --> 00:05:09,850
+and it's equal to two meters minus one meters
+
+70
+00:05:09,850 --> 00:05:18,290
+minus one meters minus 
+
+71
+00:05:18,290 --> 00:05:20,210
+one meters minus one meters minus one meters minus 
+
+72
+00:05:20,210 --> 00:05:20,270
+one meters minus one meters minus one meters minus
+
+73
+00:05:20,270 --> 00:05:21,790
+one meters minus one meters minus one meters minus 
+
+74
+00:05:21,790 --> 00:05:21,990
+one meters minus one meters minus one meters minus 
+
+75
+00:05:21,990 --> 00:05:22,810
+one meters minus one meters minus one meters minus
+
+76
+00:05:22,810 --> 00:05:23,910
+one meters minus one meters minus one meters minus 
+
+77
+00:05:23,910 --> 00:05:27,990
+one meters minus one meters minus one meters minus
+
+78
+00:05:27,990 --> 00:05:29,930
+one meters minus one meters minus one meters minus
+
+79
+00:05:29,930 --> 00:05:29,970
+one meters minus one meters minus one meters minus 
+
+80
+00:05:29,970 --> 00:05:30,150
+one meters minus one meters minus one meters minus
+
+81
+00:05:30,150 --> 00:05:32,390
+one meters minusAnd it's convergent, I give it a
+
+82
+00:05:32,390 --> 00:05:34,990
+plus sign Of course, when it's away from the 
+
+83
+00:05:34,990 --> 00:05:36,970
+object and it's scattered, I have to calculate the 
+
+84
+00:05:36,970 --> 00:05:39,570
+distance from the object to the point I want to
+
+85
+00:05:39,570 --> 00:05:43,570
+calculate Okay, now for example I have a third 
+
+86
+00:05:43,570 --> 00:05:46,850
+example With the same drawing, we say the light 
+
+87
+00:05:46,850 --> 00:05:55,090
+came out of the object The object is three meters 
+
+88
+00:05:55,090 --> 00:05:55,990
+away from 
+
+89
+00:05:59,450 --> 00:06:01,210
+or let's say without using a triangle, let's say
+
+90
+00:06:01,210 --> 00:06:06,350
+twenty centimeters let's say the distance is 
+
+91
+00:06:06,350 --> 00:06:10,270
+twenty centimeters that is, from the object to the 
+
+92
+00:06:10,270 --> 00:06:12,790
+lens is twenty centimeters we want to calculate 
+
+93
+00:06:12,790 --> 00:06:16,510
+the vergence what is the vergence of light at the 
+
+94
+00:06:16,510 --> 00:06:18,490
+surface of the lens at the surface of the lens, we 
+
+95
+00:06:18,490 --> 00:06:22,990
+say as follows the 
+
+96
+00:06:22,990 --> 00:06:25,830
+vergence equals
+
+97
+00:06:27,530 --> 00:06:31,810
+one over the distance, the object distance over
+
+98
+00:06:31,810 --> 00:06:35,530
+the distance or
+
+99
+00:06:35,530 --> 00:06:39,770
+between two objects I can say over O, why O? No,
+
+100
+00:06:40,170 --> 00:06:44,480
+why O? Because المسافة اللى بدنا نحسب عندها هذه 
+
+101
+00:06:44,480 --> 00:06:48,160
+المسافة هي ال object ال object point وهى سطح 
+
+102
+00:06:48,160 --> 00:06:51,960
+العدسة بدنا نحسب ال divergence بتاع الدوء لما وصل 
+
+103
+00:06:51,960 --> 00:06:55,220
+لسطح العدسة يعنى جاطع من مسافة ال object ال object
+
+104
+00:06:55,220 --> 00:07:01,540
+distance يعني واحد على اول ويساويone over of 
+
+105
+00:07:01,540 --> 00:07:04,480
+course here must must not forget the sign because
+
+106
+00:07:04,480 --> 00:07:08,160
+it is a divergent line must put minus and minus 
+
+107
+00:07:08,160 --> 00:07:11,240
+one because it is divergent of course over the 
+
+108
+00:07:11,240 --> 00:07:13,680
+distance twenty centimeters must turn into a meter 
+
+109
+00:07:13,680 --> 00:07:20,500
+two out of ten meters and is equal to one over two 
+
+110
+00:07:20,500 --> 00:07:26,100
+out of ten and is equal to minus five meters minus 
+
+111
+00:07:26,100 --> 00:07:27,560
+one meters minus 
+
+112
+00:07:36,160 --> 00:07:40,360
+meteros minus one Okay, so I can calculate the
+
+113
+00:07:40,360 --> 00:07:43,420
+vergence of the light at any point away from the 
+
+114
+00:07:43,420 --> 00:07:47,400
+object I calculate one away from the object Even 
+
+115
+00:07:47,400 --> 00:07:49,420
+if we reach the surface of the mirror And I can
+
+116
+00:07:49,420 --> 00:07:52,680
+calculate the vergence of the light that is going
+
+117
+00:07:52,680 --> 00:07:55,980
+to form the image at any distance Of course, I 
+
+118
+00:07:55,980 --> 00:07:57,860
+calculate the distance of this distance from the 
+
+119
+00:07:57,860 --> 00:08:01,520
+image I can calculate at this distance 
+
+120
+00:08:06,110 --> 00:08:10,670
+or the distance is high or at the distance is high 
+
+121
+00:08:10,670 --> 00:08:13,950
+So how do I calculate the inverse of the distance, 
+
+122
+00:08:14,070 --> 00:08:17,510
+one over the distance? So the complex case of
+
+123
+00:08:17,510 --> 00:08:19,890
+light, whether negative or positive, that is,
+
+124
+00:08:19,990 --> 00:08:24,470
+whether divergent or convergent is calculated by
+
+125
+00:08:24,470 --> 00:08:27,710
+the heart of the distance away from the object or 
+
+126
+00:08:27,710 --> 00:08:30,950
+the heart of the distance away from the image Now
+
+127
+00:08:30,950 --> 00:08:31,330
+the scientists 
+
+128
+00:08:34,880 --> 00:08:39,600
+It's a matter of meter squared minus one, it's a 
+
+129
+00:08:39,600 --> 00:08:43,360
+long word, meter squared minus one is a long word,
+
+130
+00:08:43,960 --> 00:08:45,880
+so they got to know that the meter squared minus
+
+131
+00:08:45,880 --> 00:08:48,760
+one, we want to call it the diopter, so here I
+
+132
+00:08:48,760 --> 00:08:51,700
+have minus half meter squared minus one, which 
+
+133
+00:08:51,700 --> 00:08:58,480
+means minus half diopter 
+
+134
+00:09:02,750 --> 00:09:10,870
+here 2 meters minus 1 which is plus 2 
+
+135
+00:09:10,870 --> 00:09:17,450
+diopters which is equal to plus 2 diopters which 
+
+136
+00:09:17,450 --> 00:09:23,730
+is equal to minus 5 meters minus 1 which is equal
+
+137
+00:09:23,730 --> 00:09:29,890
+to minus 5 diopters a person might wonder how the 
+
+138
+00:09:29,890 --> 00:09:33,040
+power of the lens can measure the dioptersand the
+
+139
+00:09:33,040 --> 00:09:35,280
+fluctuating state of the light is measured by the
+
+140
+00:09:35,280 --> 00:09:37,440
+diode. On the contrary, this is very logical 
+
+141
+00:09:37,440 --> 00:09:40,480
+because the lens's function is to change the
+
+142
+00:09:40,480 --> 00:09:43,560
+fluctuating state of the light. If we look at this
+
+143
+00:09:43,560 --> 00:09:46,420
+scene, the light before entering the lens was
+
+144
+00:09:46,420 --> 00:09:49,060
+fluctuating, when it came out of the lens it was
+
+145
+00:09:49,060 --> 00:09:51,960
+collected. In other words, the divergence of the
+
+146
+00:09:51,960 --> 00:09:55,820
+light was negative, it became after it came out of
+
+147
+00:09:55,820 --> 00:09:57,920
+the lens, it is the same light that entered the
+
+148
+00:09:57,920 --> 00:10:00,640
+lens that came out of the lens.
+
+149
+00:10:05,260 --> 00:10:09,720
+So, the lens is nothing but a tool .. a tool to
+
+150
+00:10:09,720 --> 00:10:13,780
+change the fluctuating state of light If the light 
+
+151
+00:10:13,780 --> 00:10:16,620
+was divergent, that is, negative divergence, it 
+
+152
+00:10:16,620 --> 00:10:19,180
+became convergent, that is, positive divergence It
+
+153
+00:10:19,180 --> 00:10:22,300
+can sometimes be negative, of course, as long as 
+
+154
+00:10:22,300 --> 00:10:24,560
+it comes from a real object, it must be negative,
+
+155
+00:10:24,700 --> 00:10:28,680
+okay? That is, divergent, and make it parallel In 
+
+156
+00:10:28,680 --> 00:10:33,210
+other words, the fluctuating state ..it changes 
+
+157
+00:10:33,210 --> 00:10:35,030
+with the power of the lens, which means that the 
+
+158
+00:10:35,030 --> 00:10:37,690
+lens is responsible for changing the fluctuating
+
+159
+00:10:37,690 --> 00:10:40,650
+state of light, so it is natural that the 
+
+160
+00:10:40,650 --> 00:10:44,170
+fluctuating state is measured with the diopter and
+
+161
+00:10:44,170 --> 00:10:47,170
+the force that affects it is measured with the 
+
+162
+00:10:47,170 --> 00:10:53,110
+diopter if we imagine for example that 
+
+163
+00:10:53,110 --> 00:10:56,230
+the
+
+164
+00:10:56,230 --> 00:10:59,990
+fluctuating light is a coin, for example, a 
+
+165
+00:10:59,990 --> 00:11:06,130
+thousand dollar coin وفي شيء مثلا له قيمة مثلا قطعة 
+
+166
+00:11:06,130 --> 00:11:13,670
+ذهبية بالها تستخدم في سداد هذا الدينWe say that a 
+
+167
+00:11:13,670 --> 00:11:16,950
+piece of gold is valued in dollars. I can value it 
+
+168
+00:11:16,950 --> 00:11:19,730
+in dollars because a piece of gold is equal to 
+
+169
+00:11:19,730 --> 00:11:24,450
+1500 dollars. So 1000 out of 1500 will pay off the 
+
+170
+00:11:24,450 --> 00:11:29,270
+debt and 500 will remain to benefit from it in 
+
+171
+00:11:29,270 --> 00:11:31,730
+buying something else. This is an example of 
+
+172
+00:11:31,730 --> 00:11:33,730
+simplifying the situation. The conflicting
+
+173
+00:11:33,730 --> 00:11:37,950
+situation was divergent. The things that made this
+
+174
+00:11:37,950 --> 00:11:41,920
+tool that we call optical system or lensIt is the
+
+175
+00:11:41,920 --> 00:11:44,280
+combination of two things that changed the state 
+
+176
+00:11:44,280 --> 00:11:46,740
+of light from fluctuating to accumulating, so it 
+
+177
+00:11:46,740 --> 00:11:49,220
+is natural that its force is measured in the
+
+178
+00:11:49,220 --> 00:11:52,620
+diopter and it is evaluated in the diopter as we
+
+179
+00:11:52,620 --> 00:11:55,540
+evaluated the golden piece in the dollar, the 
+
+180
+00:11:55,540 --> 00:11:57,240
+force of the lens is evaluated in the diopter 
+
+181
+00:11:57,240 --> 00:12:00,480
+because the fluctuating state of light is measured 
+
+182
+00:12:00,480 --> 00:12:05,500
+in the diopter or in the meter minus oneThis is 
+
+183
+00:12:05,500 --> 00:12:08,860
+for the subject of vergence, that vergence is the 
+
+184
+00:12:08,860 --> 00:12:11,660
+inverse of distance The distances that are used in
+
+185
+00:12:11,660 --> 00:12:13,600
+the science of geometric optics You can find the
+
+186
+00:12:13,600 --> 00:12:16,320
+object at a distance of 4 meters, 2 meters, 1
+
+187
+00:12:16,320 --> 00:12:18,820
+meter, half a meter, third meter, quarter meter,
+
+188
+00:12:19,600 --> 00:12:22,400
+five meters Of course, when you calculate the
+
+189
+00:12:22,400 --> 00:12:25,460
+vergence of light at these distances I want to 
+
+190
+00:12:25,460 --> 00:12:27,960
+invert these distances The four meters becomes a
+
+191
+00:12:27,960 --> 00:12:30,780
+quarter meter minus one The two meters are
+
+192
+00:12:30,780 --> 00:12:33,260
+inverted one by two, that is, half a meter minus
+
+193
+00:12:33,260 --> 00:12:37,350
+oneone meter is reversed and one meter is minus
+
+
+
+223
+00:15:28,560 --> 00:15:38,740
+Okay, and it equals 1
+
+224
+00:15:38,740 --> 00:15:49,180
+over minus 4 equals Now we enlarge it again
+
+225
+00:15:49,180 --> 00:15:54,040
+equals
+
+226
+00:15:58,640 --> 00:16:03,720
+minus quarter meter
+
+227
+00:16:03,720 --> 00:16:06,960
+and one meter minus one when you go up it becomes
+
+228
+00:16:06,960 --> 00:16:11,380
+minus quarter meter here minus means
+
+229
+00:16:12,500 --> 00:16:14,440
+the distance to the left because I want to
+
+230
+00:16:14,440 --> 00:16:16,320
+calculate the distance I want the distance as long
+
+231
+00:16:16,320 --> 00:16:18,580
+as the distance turned out to be minus then the
+
+232
+00:16:18,580 --> 00:16:21,600
+distance of the object to the left of the line
+
+233
+00:16:21,600 --> 00:16:24,540
+that I put in the space is a quarter of a meter
+
+234
+00:16:24,540 --> 00:16:27,920
+while this minus is minus four diopters or minus
+
+235
+00:16:27,920 --> 00:16:30,520
+four times minus one this is because of the
+
+236
+00:16:30,520 --> 00:16:32,860
+fluctuating state of light I'm talking about
+
+237
+00:16:32,860 --> 00:16:35,160
+vergence, vergence is the fluctuating state of
+
+238
+00:16:35,160 --> 00:16:36,920
+light, light is fluctuating so I give it a minus
+
+239
+00:16:36,920 --> 00:16:41,200
+sign فإذا إذا عرفت المسافة بقدر أعرف ال vergence
+
+240
+00:16:41,200 --> 00:16:43,840
+بتاع ال light و إذا عرفت ال vergence بقدر أعرف
+
+241
+00:16:43,840 --> 00:16:49,600
+المسافة بتاعة ال object أو حتى المسافة بتاعة ال
+
+242
+00:16:49,600 --> 00:16:54,020
+image فبالتالي for convenience عشان يكون الأمر
+
+243
+00:16:54,020 --> 00:16:57,840
+أسهل في التعبير بدل ما نضل نقول متر قص ناقص واحد
+
+244
+00:16:57,840 --> 00:17:01,870
+يعني نلفظ الأربع كلماتالعلماء اتفقوا انه كلمة
+
+245
+00:17:01,870 --> 00:17:06,230
+meter قص ناقص واحد بدهم يعطوها كلمة او يسموها باسم
+
+246
+00:17:06,230 --> 00:17:11,810
+diopter ويرمزولها بالرمز D As light travels away
+
+247
+00:17:11,810 --> 00:17:16,630
+from an object point or toward an image point, its
+
+248
+00:17:16,630 --> 00:17:21,410
+divergence constantly changes كل ما سافر بعيدا عن
+
+249
+00:17:21,410 --> 00:17:26,680
+ال objectOr towards the image, the vergence of the
+
+250
+00:17:26,680 --> 00:17:29,880
+image changes, why? Because the distance changes
+
+251
+00:17:29,880 --> 00:17:33,580
+and as long as the vergence and the distance have
+
+252
+00:17:33,580 --> 00:17:35,980
+a relation, then it is true that it is opposite,
+
+253
+00:17:36,120 --> 00:17:39,980
+but if one changes, the other will change, if one
+
+254
+00:17:39,980 --> 00:17:42,680
+changes, because if the distance changes, the
+
+255
+00:17:42,680 --> 00:17:46,020
+vergence of light must change Let's come here to
+
+256
+00:17:46,020 --> 00:17:47,440
+an example, we say as follows
+
+257
+00:17:52,420 --> 00:17:55,780
+On a distance of 10 cm, divergence is minus 10
+
+258
+00:17:55,780 --> 00:17:59,640
+diopters 10 cm is 1 out of 10 meters, if you
+
+259
+00:17:59,640 --> 00:18:02,500
+invert it, if you invert this distance which is 1
+
+260
+00:18:02,500 --> 00:18:05,040
+out of 10 meters, 1 out of 1 out of 10 meters, you
+
+261
+00:18:05,040 --> 00:18:08,020
+get 10 diopters Why did we put minus? Because the
+
+262
+00:18:08,020 --> 00:18:10,720
+light is divergent, divergent, okay? Divergent
+
+263
+00:18:10,720 --> 00:18:14,500
+Okay, on a distance of, for example, a quarter of
+
+264
+00:18:14,500 --> 00:18:18,210
+a meterone over a quarter equals four, this is a
+
+265
+00:18:18,210 --> 00:18:20,370
+diopter, why do we put a minus on it? Because the
+
+266
+00:18:20,370 --> 00:18:22,430
+light is distorted and so on and so forth,
+
+267
+00:18:22,630 --> 00:18:27,910
+therefore, the more the distance that the light
+
+268
+00:18:27,910 --> 00:18:30,190
+travels away from the object, the more the
+
+269
+00:18:30,190 --> 00:18:34,610
+divergence of it changesAnd also this speech also
+
+270
+00:18:34,610 --> 00:18:38,930
+towards the image, the same thing, whenever the
+
+271
+00:18:38,930 --> 00:18:41,790
+distance changes towards the image, near or far,
+
+272
+00:18:42,010 --> 00:18:43,910
+the vergence changes, because the vergence and the
+
+273
+00:18:43,910 --> 00:18:47,390
+distance have a relation, it's a reverse relation,
+
+274
+00:18:47,510 --> 00:18:51,090
+but if one changes, the other will changeTo
+
+275
+00:18:51,090 --> 00:18:53,870
+calculate the divergence of light at any point,
+
+276
+00:18:54,010 --> 00:18:56,910
+one must know the location of the object or image
+
+277
+00:18:56,910 --> 00:18:57,250
+point
+
+278
+00:19:07,600 --> 00:19:10,220
+Conversely, if one knows the divergence at
+
+279
+00:19:10,220 --> 00:19:12,960
+a selected point, the position of the object or
+
+280
+00:19:12,960 --> 00:19:16,260
+image point can be determined. As we said before
+
+281
+00:19:16,260 --> 00:19:20,160
+in the example, the divergence at this point is
+
+282
+00:19:20,160 --> 00:19:22,720
+minus four diopters. Where is the object? We
+
+283
+00:19:22,720 --> 00:19:25,570
+calculated that it is minus four diopters.Whether
+
+284
+00:19:25,570 --> 00:19:27,410
+we know the vergence, we can determine the
+
+285
+00:19:27,410 --> 00:19:30,990
+distance, or we know the distance, we can show the
+
+286
+00:19:30,990 --> 00:19:34,590
+vergence, that is, we can point to one another, to
+
+287
+00:19:34,590 --> 00:19:37,930
+one another Now there is a term other than the
+
+288
+00:19:37,930 --> 00:19:40,310
+vergence, it is called reduced vergence, the
+
+289
+00:19:40,310 --> 00:19:43,810
+shortened vergence or shortened Of course, a
+
+290
+00:19:43,810 --> 00:19:46,630
+person may at first think that the shortened
+
+291
+00:19:46,630 --> 00:19:52,930
+vergence isDigitally, it is less than the normal
+
+292
+00:19:52,930 --> 00:19:57,110
+vergence So, reduced vergence is less than the
+
+293
+00:19:57,110 --> 00:20:01,610
+normal vergence Of course, this is not correct, it
+
+294
+00:20:01,610 --> 00:20:03,710
+is the opposite of what is correct We say reduced
+
+295
+00:20:03,710 --> 00:20:07,510
+vergence is vergence multiplied by refractive
+
+296
+00:20:07,510 --> 00:20:11,530
+index of the medium Okay, let's say this is a new
+
+297
+00:20:11,530 --> 00:20:15,870
+chip We
+
+298
+00:20:15,870 --> 00:20:19,030
+say reduced vergence, the abbreviated vergence
+
+299
+00:20:21,900 --> 00:20:24,880
+is equal to the normal vergence, which is the
+
+300
+00:20:24,880 --> 00:20:27,720
+fluctuating state of light, multiplied by the
+
+301
+00:20:27,720 --> 00:20:31,520
+refractive index of the medium in which the light
+
+302
+00:20:31,520 --> 00:20:34,540
+occurs. In other words, if the light I have
+
+303
+00:20:34,540 --> 00:20:43,560
+happens in water, the reduced vergence is equal
+
+304
+00:20:43,560 --> 00:20:48,580
+to the vergence, of course for water, multiplied
+
+305
+00:20:48,580 --> 00:20:52,050
+byrefractive index of science is equal to 1.3 out
+
+306
+00:20:52,050 --> 00:20:55,630
+of 10 if you multiply any value by 1.3 out of 10,
+
+307
+00:20:55,770 --> 00:20:57,730
+the value of the result will be greater than the
+
+308
+00:20:57,730 --> 00:21:02,990
+basic value to explain this issue, we need to say
+
+309
+00:21:02,990 --> 00:21:09,210
+as follows here we have an example we draw a
+
+310
+00:21:09,210 --> 00:21:10,370
+single refracting surface
+
+311
+00:21:22,600 --> 00:21:34,020
+this light is going to 
+
+312
+00:21:34,020 --> 00:21:44,380
+go this is
+
+313
+00:21:44,380 --> 00:21:47,500
+my single refracting service and this is my rays 
+
+314
+00:21:47,500 --> 00:21:50,840
+going to form rays
+
+315
+00:21:57,890 --> 00:22:00,050
+It came from an object and it's going to form an
+
+316
+00:22:00,050 --> 00:22:04,070
+image And
+
+317
+00:22:04,070 --> 00:22:15,710
+it's going to form an image Now 
+
+318
+00:22:15,710 --> 00:22:18,010
+we want to calculate the divergence of light at
+
+319
+00:22:18,010 --> 00:22:18,750
+this distance
+
+320
+00:22:25,290 --> 00:22:30,630
+this distance is one meter away from the edge this 
+
+321
+00:22:30,630 --> 00:22:38,610
+distance is one meter away from the edge from
+
+322
+00:22:38,610 --> 00:22:41,850
+here, the light is still accumulating it will 
+
+323
+00:22:41,850 --> 00:22:45,530
+eventually form an edge inside the glass how much
+
+324
+00:22:45,530 --> 00:22:48,190
+is the divergence? divergence is the inverse of 
+
+325
+00:22:48,190 --> 00:22:50,330
+the distance divergence 
+
+326
+00:23:01,580 --> 00:23:13,200
+I want to 
+
+327
+00:23:13,200 --> 00:23:14,660
+calculate the reduced vergence 
+
+328
+00:23:21,160 --> 00:23:24,280
+is equal to the vergence itself which is plus one
+
+329
+00:23:24,280 --> 00:23:29,520
+diopter which we saw a while ago in this upper
+
+330
+00:23:29,520 --> 00:23:32,740
+line multiplied by the refractive index of the
+
+331
+00:23:32,740 --> 00:23:36,740
+glass which is one and a half for example is equal
+
+332
+00:23:36,740 --> 00:23:43,870
+to plus one and a halfDiode, from this example it 
+
+333
+00:23:43,870 --> 00:23:47,410
+becomes very clear that the reduced vergence, its
+
+334
+00:23:47,410 --> 00:23:49,570
+name is vergence, its value is supposed to be
+
+335
+00:23:49,570 --> 00:23:51,490
+less, but it is clear that its value is higher 
+
+336
+00:23:51,490 --> 00:23:55,530
+than the vergence itself Okay, now we need to know
+
+337
+00:23:55,530 --> 00:23:59,870
+exactly that the reduced vergencereduced vergence 
+
+338
+00:23:59,870 --> 00:24:03,070
+دائما و أبدا بيكون أعلى من ال vergence معادة في
+
+339
+00:24:03,070 --> 00:24:06,930
+حالة واحدة إذا الضوء يسري في الفراغ، لو حسبتله ال 
+
+340
+00:24:06,930 --> 00:24:10,590
+vergence، هيطلعله قيمة، لو حسبتله ال reduced
+
+341
+00:24:10,590 --> 00:24:13,590
+vergence، هتطلع نفس القيمة، ليش؟ لأنه الآن تعطي
+
+342
+00:24:13,590 --> 00:24:17,450
+الفراغ واحد، فلما نضرب أي قيمة في واحد، بتضلها زي 
+
+343
+00:24:17,450 --> 00:24:20,810
+ما هيBut in the rest of the things, in water, in
+
+344
+00:24:20,810 --> 00:24:25,130
+glass, in any optical medium, the reduced vergence 
+
+345
+00:24:25,130 --> 00:24:27,990
+will have a numerical value higher than the 
+
+346
+00:24:27,990 --> 00:24:32,210
+vergence, so why? Because it is always higher than
+
+347
+00:24:32,210 --> 00:24:36,310
+one which is in space Okay, why do scientists call 
+
+348
+00:24:36,310 --> 00:24:39,660
+it reduced vergence? Actually the name is wrongو 
+
+349
+00:24:39,660 --> 00:24:44,680
+لكن الاسم متجذر تاريخيا لدرجة ان العلماء تركوه زي
+
+350
+00:24:44,680 --> 00:24:50,500
+ما هو و يعني هو متعارف عليه من زمان قديم و متجذر
+
+351
+00:24:50,500 --> 00:24:55,870
+تاريخيا لدرجة انه صعب تغيره، صعب تغيره، اذاreduced 
+
+352
+00:24:55,870 --> 00:24:59,330
+vergence is vergence multiplied مضروبا في
+
+353
+00:24:59,330 --> 00:25:02,670
+refractive index of the median. This term is
+
+354
+00:25:02,670 --> 00:25:06,010
+confusing هذا المصطلح reduced vergence ال vergence
+
+355
+00:25:06,010 --> 00:25:10,750
+المختصر او المختزل بخربط ليش لأنه reduced vergence 
+
+356
+00:25:10,750 --> 00:25:14,480
+رقميا اعلى من ال vergence نفسهاحنا في الطبيعة لما
+
+357
+00:25:14,480 --> 00:25:18,980
+نقول إشي مختزل أو مختصر نقول ملخص أو مختزل يعني
+
+358
+00:25:18,980 --> 00:25:22,680
+واحد اختزل كتاب 500 صفحة لما بنسمع كلمة اختزل
+
+359
+00:25:22,680 --> 00:25:26,540
+معناته عدد الصفحات قل بس هنا في هذه القضية ال
+
+360
+00:25:26,540 --> 00:25:30,340
+reduced vergence دائما أكبر من ال vergence هنا ضريب
+
+361
+00:25:30,340 --> 00:25:36,480
+لمثال أنه لما بيكون في أشعة متجمعة و رايحة على بعد
+
+362
+00:25:36,480 --> 00:25:40,850
+متر meter from the image, the reduced vergence will 
+
+363
+00:25:40,850 --> 00:25:43,550
+be plus one diopter and the reduced vergence will 
+
+364
+00:25:43,550 --> 00:25:45,950
+be one and a half diopters as we explained in the
+
+365
+00:25:45,950 --> 00:25:49,330
+drawing and calculated it very clearly so 
+
+366
+00:25:49,330 --> 00:25:53,230
+confusing or not, whether you get confused or not,
+
+367
+00:25:53,570 --> 00:25:58,530
+the term reduced vergence is 
+
+368
+00:25:58,530 --> 00:26:01,290
+too well-intentioned to be changed 
+
+369
+00:26:05,290 --> 00:26:10,190
+Changed يعني متجذر جدا لدرجة لا يمكن تغييره
+
+370
+00:26:10,190 --> 00:26:13,230
+فبالتالي بدنا نفهم أنه رقميا ال reduced vergence
+
+371
+00:26:13,230 --> 00:26:17,970
+أكبر من ال vergence أكبر من ال vergence المرة 
+
+372
+00:26:17,970 --> 00:26:22,890
+القادمة هنعرف يعني كيف أنه ال lens makers equation
+
+373
+00:26:22,890 --> 00:26:28,830
+ممكن أنا أعبر عنها أعبر عنهابطريقة ال vergence 
+
+374
+00:26:28,830 --> 00:26:33,670
+اللي احنا شرحناها بطريقة الحالة التشتتية للضوء
+
+375
+00:26:33,670 --> 00:26:37,330
+بطريقة الحالة يعني المرة الجاية كيف أصيغ ال lens 
+
+376
+00:26:37,330 --> 00:26:43,150
+makers equation مرة أخرى بس من مفهوم أو من رؤية ال
+
+377
+00:26:43,150 --> 00:26:46,170
+vergence of light و يعطيكم العافية والسلام عليكم 
+
+378
+00:26:46,170 --> 00:26:47,730
+ورحمة الله وبركاته
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/2BZ4a5vb3gE_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/2BZ4a5vb3gE_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..3ce06c66ed7fafb692c1cfc3a4752fc969fc5789
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/2BZ4a5vb3gE_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 1711, "start": 1.55, "end": 17.11, "text": "بسم الله الرحمن الرحيم بنواصل محاضرات ال geometric optics وحكينا المرة الماضية عن the versions of light الحالة التشتتية للضوء وقولنا الضوء بيوجد على تلت حالات لا رابع لها ان يكون متشتت, divergent", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 44945, 2407, 33546, 1211, 3714, 5016, 46958, 2288, 9307, 2423, 33246, 42599, 4032, 5016, 4117, 1829, 8315, 9673, 25720, 9673, 46958, 10632, 18871, 264, 9606, 295, 1442, 21542, 6027, 3660, 16712, 8592, 2655, 2655, 10632, 24976, 11242, 2407, 38207, 4032, 39648, 8315, 6024, 114, 2407, 38207, 4724, 1829, 29245, 3215, 15844, 6055, 1211, 2655, 11331, 6027, 9307, 20193, 12602, 16758, 3615, 5296, 11296, 16472, 7251, 30544, 44650, 8592, 2655, 2655, 11, 18558, 6930], "avg_logprob": -0.1749811808028853, "compression_ratio": 1.5909090909090908, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 1.55, "end": 1.81, "word": "بسم", "probability": 0.4848785400390625}, {"start": 1.81, "end": 1.95, "word": " الله", "probability": 0.93359375}, {"start": 1.95, "end": 2.27, "word": " الرحمن", "probability": 0.8924153645833334}, {"start": 2.27, "end": 2.77, "word": " الرحيم", "probability": 0.9886067708333334}, {"start": 2.77, "end": 3.41, "word": " بنواصل", "probability": 0.824951171875}, {"start": 3.41, "end": 4.15, "word": " محاضرات", "probability": 0.94658203125}, {"start": 4.15, "end": 4.27, "word": " ال", "probability": 0.92822265625}, {"start": 4.27, "end": 4.69, "word": " geometric", "probability": 0.7607421875}, {"start": 4.69, "end": 5.41, "word": " optics", "probability": 0.95263671875}, {"start": 5.41, "end": 7.19, "word": " وحكينا", "probability": 0.89990234375}, {"start": 7.19, "end": 7.45, "word": " المرة", "probability": 0.970703125}, {"start": 7.45, "end": 7.93, "word": " الماضية", "probability": 0.9752604166666666}, {"start": 7.93, "end": 8.23, "word": " عن", "probability": 0.9970703125}, {"start": 8.23, "end": 8.87, "word": " the", "probability": 0.498779296875}, {"start": 8.87, "end": 9.23, "word": " versions", "probability": 0.57177734375}, {"start": 9.23, "end": 9.51, "word": " of", "probability": 0.984375}, {"start": 9.51, "end": 9.81, "word": " light", "probability": 0.90234375}, {"start": 9.81, "end": 10.25, "word": " الحالة", "probability": 0.7618001302083334}, {"start": 10.25, "end": 10.95, "word": " التشتتية", "probability": 0.96962890625}, {"start": 10.95, "end": 11.49, "word": " للضوء", "probability": 0.9853515625}, {"start": 11.49, "end": 12.23, "word": " وقولنا", "probability": 0.8097330729166666}, {"start": 12.23, "end": 12.49, "word": " الضوء", "probability": 0.876220703125}, {"start": 12.49, "end": 12.85, "word": " بيوجد", "probability": 0.876953125}, {"start": 12.85, "end": 13.11, "word": " على", "probability": 0.9111328125}, {"start": 13.11, "end": 13.59, "word": " تلت", "probability": 0.916015625}, {"start": 13.59, "end": 14.03, "word": " حالات", "probability": 0.9736328125}, {"start": 14.03, "end": 14.19, "word": " لا", "probability": 0.82958984375}, {"start": 14.19, "end": 14.53, "word": " رابع", "probability": 0.9430338541666666}, {"start": 14.53, "end": 14.89, "word": " لها", "probability": 0.850341796875}, {"start": 14.89, "end": 15.17, "word": " ان", "probability": 0.414794921875}, {"start": 15.17, "end": 15.53, "word": " يكون", "probability": 0.79931640625}, {"start": 15.53, "end": 16.39, "word": " متشتت,", "probability": 0.98046875}, {"start": 16.47, "end": 17.11, "word": " divergent", "probability": 0.813232421875}], "temperature": 1.0}, {"id": 2, "seek": 3336, "start": 17.56, "end": 33.36, "text": "إذا كانوا صادر من real object، من object حقيقي زي الشمعة، زي الشمس، زي المصباح الكهربائي، بيكون متشتت في جميع الإتجاهات، و ساعتها بيقول ال versions negative، ال versions تعطيه negative، الحالة التشتتية تعطيه negative أو divergent", "tokens": [28814, 15730, 25961, 14407, 20328, 18513, 2288, 9154, 957, 2657, 12399, 9154, 2657, 11331, 38436, 38436, 30767, 1829, 25124, 2304, 27884, 12399, 30767, 1829, 25124, 2304, 3794, 12399, 30767, 1829, 9673, 9381, 3555, 39319, 33251, 3224, 25513, 16373, 1829, 12399, 4724, 1829, 30544, 44650, 8592, 2655, 2655, 8978, 10874, 2304, 40228, 33688, 2655, 7435, 40294, 9307, 12399, 4032, 8608, 995, 34268, 11296, 4724, 1829, 39648, 2423, 9606, 3671, 12399, 2423, 9606, 37279, 9566, 1829, 3224, 3671, 12399, 21542, 6027, 3660, 16712, 8592, 2655, 2655, 10632, 37279, 9566, 1829, 3224, 3671, 34051, 18558, 6930], "avg_logprob": -0.166805181890092, "compression_ratio": 1.75, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 17.56, "end": 17.82, "word": "إذا", "probability": 0.5838623046875}, {"start": 17.82, "end": 18.12, "word": " كانوا", "probability": 0.7034912109375}, {"start": 18.12, "end": 18.5, "word": " صادر", "probability": 0.9737955729166666}, {"start": 18.5, "end": 18.74, "word": " من", "probability": 0.9755859375}, {"start": 18.74, "end": 19.16, "word": " real", "probability": 0.82177734375}, {"start": 19.16, "end": 19.7, "word": " object،", "probability": 0.7344970703125}, {"start": 19.7, "end": 19.82, "word": " من", "probability": 0.95361328125}, {"start": 19.82, "end": 20.12, "word": " object", "probability": 0.9736328125}, {"start": 20.12, "end": 20.66, "word": " حقيقي", "probability": 0.9855143229166666}, {"start": 20.66, "end": 20.86, "word": " زي", "probability": 0.7587890625}, {"start": 20.86, "end": 21.64, "word": " الشمعة،", "probability": 0.916015625}, {"start": 21.64, "end": 21.9, "word": " زي", "probability": 0.9853515625}, {"start": 21.9, "end": 23.12, "word": " الشمس،", "probability": 0.9794921875}, {"start": 23.12, "end": 23.3, "word": " زي", "probability": 0.9921875}, {"start": 23.3, "end": 23.78, "word": " المصباح", "probability": 0.9642333984375}, {"start": 23.78, "end": 24.36, "word": " الكهربائي،", "probability": 0.8679606119791666}, {"start": 24.36, "end": 24.62, "word": " بيكون", "probability": 0.8751627604166666}, {"start": 24.62, "end": 25.4, "word": " متشتت", "probability": 0.93408203125}, {"start": 25.4, "end": 25.84, "word": " في", "probability": 0.97900390625}, {"start": 25.84, "end": 26.16, "word": " جميع", "probability": 0.99365234375}, {"start": 26.16, "end": 26.92, "word": " الإتجاهات،", "probability": 0.8461100260416666}, {"start": 26.92, "end": 26.98, "word": " و", "probability": 0.42578125}, {"start": 26.98, "end": 27.24, "word": " ساعتها", "probability": 0.919921875}, {"start": 27.24, "end": 27.52, "word": " بيقول", "probability": 0.8942057291666666}, {"start": 27.52, "end": 27.66, "word": " ال", "probability": 0.916015625}, {"start": 27.66, "end": 27.98, "word": " versions", "probability": 0.29150390625}, {"start": 27.98, "end": 29.3, "word": " negative،", "probability": 0.814697265625}, {"start": 29.3, "end": 29.48, "word": " ال", "probability": 0.95361328125}, {"start": 29.48, "end": 29.86, "word": " versions", "probability": 0.859375}, {"start": 29.86, "end": 30.36, "word": " تعطيه", "probability": 0.58544921875}, {"start": 30.36, "end": 30.9, "word": " negative،", "probability": 0.889892578125}, {"start": 30.9, "end": 31.2, "word": " الحالة", "probability": 0.91455078125}, {"start": 31.2, "end": 31.72, "word": " التشتتية", "probability": 0.97001953125}, {"start": 31.72, "end": 32.06, "word": " تعطيه", "probability": 0.9476318359375}, {"start": 32.06, "end": 32.42, "word": " negative", "probability": 0.97412109375}, {"start": 32.42, "end": 32.72, "word": " أو", "probability": 0.8115234375}, {"start": 32.72, "end": 33.36, "word": " divergent", "probability": 0.700927734375}], "temperature": 1.0}, {"id": 3, "seek": 5029, "start": 33.97, "end": 50.29, "text": "or to come from a place very far away and say about it or to be parallel to each other, parallel light, we say its divergence is zero, it is neither negative nor positive or to be out of a lens going to form the image, that is, it gathers to form the image", "tokens": [284, 281, 808, 490, 257, 1081, 588, 1400, 1314, 293, 584, 466, 309, 420, 281, 312, 8952, 281, 1184, 661, 11, 8952, 1442, 11, 321, 584, 1080, 47387, 307, 4018, 11, 309, 307, 9662, 3671, 6051, 3353, 420, 281, 312, 484, 295, 257, 6765, 516, 281, 1254, 264, 3256, 11, 300, 307, 11, 309, 290, 11850, 281, 1254, 264, 3256], "avg_logprob": -0.5225409836065574, "compression_ratio": 1.673202614379085, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 33.97, "end": 34.27, "word": "or", "probability": 0.4296875}, {"start": 34.27, "end": 34.45, "word": " to", "probability": 0.29345703125}, {"start": 34.45, "end": 34.85, "word": " come", "probability": 0.2364501953125}, {"start": 34.85, "end": 35.05, "word": " from", "probability": 0.84521484375}, {"start": 35.05, "end": 35.61, "word": " a", "probability": 0.467041015625}, {"start": 35.61, "end": 35.75, "word": " place", "probability": 0.2900390625}, {"start": 35.75, "end": 36.15, "word": " very", "probability": 0.262939453125}, {"start": 36.15, "end": 36.17, "word": " far", "probability": 0.85498046875}, {"start": 36.17, "end": 36.71, "word": " away", "probability": 0.51318359375}, {"start": 36.71, "end": 36.85, "word": " and", "probability": 0.5126953125}, {"start": 36.85, "end": 36.99, "word": " say", "probability": 0.56494140625}, {"start": 36.99, "end": 37.19, "word": " about", "probability": 0.439697265625}, {"start": 37.19, "end": 37.51, "word": " it", "probability": 0.71142578125}, {"start": 37.51, "end": 38.59, "word": " or", "probability": 0.3271484375}, {"start": 38.59, "end": 38.87, "word": " to", "probability": 0.4580078125}, {"start": 38.87, "end": 39.07, "word": " be", "probability": 0.92333984375}, {"start": 39.07, "end": 39.45, "word": " parallel", "probability": 0.63037109375}, {"start": 39.45, "end": 39.59, "word": " to", "probability": 0.9287109375}, {"start": 39.59, "end": 39.99, "word": " each", "probability": 0.89013671875}, {"start": 39.99, "end": 40.63, "word": " other,", "probability": 0.8955078125}, {"start": 40.91, "end": 41.53, "word": " parallel", "probability": 0.61865234375}, {"start": 41.53, "end": 42.05, "word": " light,", "probability": 0.7568359375}, {"start": 42.19, "end": 42.19, "word": " we", "probability": 0.328369140625}, {"start": 42.19, "end": 42.37, "word": " say", "probability": 0.80078125}, {"start": 42.37, "end": 42.53, "word": " its", "probability": 0.300537109375}, {"start": 42.53, "end": 42.89, "word": " divergence", "probability": 0.3828125}, {"start": 42.89, "end": 43.23, "word": " is", "probability": 0.87451171875}, {"start": 43.23, "end": 43.53, "word": " zero,", "probability": 0.83837890625}, {"start": 43.69, "end": 43.75, "word": " it", "probability": 0.40234375}, {"start": 43.75, "end": 43.83, "word": " is", "probability": 0.6123046875}, {"start": 43.83, "end": 43.83, "word": " neither", "probability": 0.7626953125}, {"start": 43.83, "end": 44.25, "word": " negative", "probability": 0.806640625}, {"start": 44.25, "end": 44.49, "word": " nor", "probability": 0.9384765625}, {"start": 44.49, "end": 44.97, "word": " positive", "probability": 0.93212890625}, {"start": 44.97, "end": 45.27, "word": " or", "probability": 0.53515625}, {"start": 45.27, "end": 45.39, "word": " to", "probability": 0.6318359375}, {"start": 45.39, "end": 45.59, "word": " be", "probability": 0.81103515625}, {"start": 45.59, "end": 45.93, "word": " out", "probability": 0.34228515625}, {"start": 45.93, "end": 46.15, "word": " of", "probability": 0.9443359375}, {"start": 46.15, "end": 46.59, "word": " a", "probability": 0.69091796875}, {"start": 46.59, "end": 46.59, "word": " lens", "probability": 0.57421875}, {"start": 46.59, "end": 47.51, "word": " going", "probability": 0.418701171875}, {"start": 47.51, "end": 47.71, "word": " to", "probability": 0.951171875}, {"start": 47.71, "end": 48.01, "word": " form", "probability": 0.5146484375}, {"start": 48.01, "end": 48.23, "word": " the", "probability": 0.689453125}, {"start": 48.23, "end": 48.59, "word": " image,", "probability": 0.9375}, {"start": 48.71, "end": 48.77, "word": " that", "probability": 0.306884765625}, {"start": 48.77, "end": 48.83, "word": " is,", "probability": 0.8935546875}, {"start": 48.83, "end": 48.93, "word": " it", "probability": 0.57080078125}, {"start": 48.93, "end": 49.21, "word": " gathers", "probability": 0.58819580078125}, {"start": 49.21, "end": 49.45, "word": " to", "probability": 0.880859375}, {"start": 49.45, "end": 49.83, "word": " form", "probability": 0.88134765625}, {"start": 49.83, "end": 50.01, "word": " the", "probability": 0.89794921875}, {"start": 50.01, "end": 50.29, "word": " image", "probability": 0.9287109375}], "temperature": 1.0}, {"id": 4, "seek": 7923, "start": 50.47, "end": 79.23, "text": "و ساعتها ال .. ال .. ال .. ال versions بتاع ال light بيكون positive أو convergent light وقولنا ال versions بتوربطوا علاقة مع المسافة ال versions بتاع ال light الحالة التشتتية للضوء بتختلف اختلاف مسافة اللي .. اللي قطعها الضوء وقولنا ال .. ال versions حقيقة هو عبارة لما يحسب و يساوي ال reciprocal of the distance of the distance يعني لما نقول احسب ال versions بتاع ال light احسب ال versions بتاع ال light", "tokens": [2407, 8608, 995, 34268, 11296, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 9606, 39894, 45761, 2423, 1442, 4724, 1829, 30544, 3353, 34051, 9652, 6930, 1442, 4032, 39648, 8315, 2423, 9606, 39894, 13063, 3555, 9566, 14407, 11203, 995, 28671, 20449, 9673, 3794, 31845, 3660, 2423, 9606, 39894, 45761, 2423, 1442, 21542, 6027, 3660, 16712, 8592, 2655, 2655, 10632, 24976, 11242, 2407, 38207, 39894, 46456, 46538, 1975, 46456, 15040, 5172, 47524, 31845, 3660, 13672, 1829, 4386, 13672, 1829, 12174, 9566, 3615, 11296, 6024, 114, 2407, 38207, 4032, 39648, 8315, 2423, 4386, 2423, 9606, 11331, 38436, 28671, 31439, 6225, 3555, 9640, 3660, 5296, 15042, 7251, 5016, 35457, 4032, 7251, 3794, 995, 45865, 2423, 46948, 295, 264, 4560, 295, 264, 4560, 37495, 22653, 5296, 15042, 8717, 39648, 1975, 5016, 35457, 2423, 9606, 39894, 45761, 2423, 1442, 1975, 5016, 35457, 2423, 9606, 39894, 45761, 2423, 1442], "avg_logprob": -0.12896126456243892, "compression_ratio": 2.2835249042145596, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 50.47, "end": 50.71, "word": "و", "probability": 0.1854248046875}, {"start": 50.71, "end": 51.11, "word": " ساعتها", "probability": 0.8460693359375}, {"start": 51.11, "end": 51.29, "word": " ال", "probability": 0.9794921875}, {"start": 51.29, "end": 51.29, "word": " ..", "probability": 0.84619140625}, {"start": 51.29, "end": 51.81, "word": " ال", "probability": 0.97509765625}, {"start": 51.81, "end": 51.81, "word": " ..", "probability": 0.97265625}, {"start": 51.81, "end": 52.03, "word": " ال", "probability": 0.97509765625}, {"start": 52.03, "end": 52.15, "word": " ..", "probability": 0.65869140625}, {"start": 52.15, "end": 52.15, "word": " ال", "probability": 0.89599609375}, {"start": 52.15, "end": 52.39, "word": " versions", "probability": 0.1490478515625}, {"start": 52.39, "end": 52.69, "word": " بتاع", "probability": 0.94873046875}, {"start": 52.69, "end": 52.81, "word": " ال", "probability": 0.958984375}, {"start": 52.81, "end": 52.97, "word": " light", "probability": 0.8984375}, {"start": 52.97, "end": 53.29, "word": " بيكون", "probability": 0.9186197916666666}, {"start": 53.29, "end": 53.81, "word": " positive", "probability": 0.9169921875}, {"start": 53.81, "end": 54.13, "word": " أو", "probability": 0.8017578125}, {"start": 54.13, "end": 55.03, "word": " convergent", "probability": 0.94384765625}, {"start": 55.03, "end": 56.03, "word": " light", "probability": 0.91162109375}, {"start": 56.03, "end": 56.71, "word": " وقولنا", "probability": 0.7777506510416666}, {"start": 56.71, "end": 56.97, "word": " ال", "probability": 0.978515625}, {"start": 56.97, "end": 57.37, "word": " versions", "probability": 0.84521484375}, {"start": 57.37, "end": 58.09, "word": " بتوربطوا", "probability": 0.88369140625}, {"start": 58.09, "end": 58.51, "word": " علاقة", "probability": 0.96435546875}, {"start": 58.51, "end": 58.69, "word": " مع", "probability": 0.98681640625}, {"start": 58.69, "end": 59.25, "word": " المسافة", "probability": 0.984130859375}, {"start": 59.25, "end": 59.43, "word": " ال", "probability": 0.869140625}, {"start": 59.43, "end": 59.79, "word": " versions", "probability": 0.88232421875}, {"start": 59.79, "end": 60.03, "word": " بتاع", "probability": 0.99462890625}, {"start": 60.03, "end": 60.15, "word": " ال", "probability": 0.98681640625}, {"start": 60.15, "end": 60.39, "word": " light", "probability": 0.9189453125}, {"start": 60.39, "end": 60.81, "word": " الحالة", "probability": 0.9290364583333334}, {"start": 60.81, "end": 61.51, "word": " التشتتية", "probability": 0.8658203125}, {"start": 61.51, "end": 62.19, "word": " للضوء", "probability": 0.93701171875}, {"start": 62.19, "end": 63.17, "word": " بتختلف", "probability": 0.88037109375}, {"start": 63.17, "end": 63.81, "word": " اختلاف", "probability": 0.8592529296875}, {"start": 63.81, "end": 64.39, "word": " مسافة", "probability": 0.9925130208333334}, {"start": 64.39, "end": 64.55, "word": " اللي", "probability": 0.88427734375}, {"start": 64.55, "end": 64.71, "word": " ..", "probability": 0.7412109375}, {"start": 64.71, "end": 64.95, "word": " اللي", "probability": 0.98876953125}, {"start": 64.95, "end": 65.43, "word": " قطعها", "probability": 0.9385986328125}, {"start": 65.43, "end": 65.91, "word": " الضوء", "probability": 0.938232421875}, {"start": 65.91, "end": 66.59, "word": " وقولنا", "probability": 0.84228515625}, {"start": 66.59, "end": 66.71, "word": " ال", "probability": 0.99267578125}, {"start": 66.71, "end": 66.95, "word": " ..", "probability": 0.313720703125}, {"start": 66.95, "end": 67.23, "word": " ال", "probability": 0.98583984375}, {"start": 67.23, "end": 67.59, "word": " versions", "probability": 0.73974609375}, {"start": 67.59, "end": 68.11, "word": " حقيقة", "probability": 0.9384765625}, {"start": 68.11, "end": 68.39, "word": " هو", "probability": 0.90966796875}, {"start": 68.39, "end": 69.03, "word": " عبارة", "probability": 0.991455078125}, {"start": 69.03, "end": 69.57, "word": " لما", "probability": 0.895263671875}, {"start": 69.57, "end": 69.97, "word": " يحسب", "probability": 0.9798177083333334}, {"start": 69.97, "end": 70.13, "word": " و", "probability": 0.8798828125}, {"start": 70.13, "end": 70.71, "word": " يساوي", "probability": 0.9005126953125}, {"start": 70.71, "end": 70.83, "word": " ال", "probability": 0.72412109375}, {"start": 70.83, "end": 71.39, "word": " reciprocal", "probability": 0.94189453125}, {"start": 71.39, "end": 72.33, "word": " of", "probability": 0.98974609375}, {"start": 72.33, "end": 72.69, "word": " the", "probability": 0.93310546875}, {"start": 72.69, "end": 73.15, "word": " distance", "probability": 0.93896484375}, {"start": 73.15, "end": 73.45, "word": " of", "probability": 0.71435546875}, {"start": 73.45, "end": 73.61, "word": " the", "probability": 0.94287109375}, {"start": 73.61, "end": 73.95, "word": " distance", "probability": 0.9296875}, {"start": 73.95, "end": 74.15, "word": " يعني", "probability": 0.887451171875}, {"start": 74.15, "end": 74.35, "word": " لما", "probability": 0.961669921875}, {"start": 74.35, "end": 74.61, "word": " نقول", "probability": 0.800048828125}, {"start": 74.61, "end": 74.99, "word": " احسب", "probability": 0.90625}, {"start": 74.99, "end": 75.15, "word": " ال", "probability": 0.98681640625}, {"start": 75.15, "end": 75.49, "word": " versions", "probability": 0.89306640625}, {"start": 75.49, "end": 75.79, "word": " بتاع", "probability": 0.997802734375}, {"start": 75.79, "end": 75.95, "word": " ال", "probability": 0.97705078125}, {"start": 75.95, "end": 76.33, "word": " light", "probability": 0.93115234375}, {"start": 76.33, "end": 77.97, "word": " احسب", "probability": 0.8834635416666666}, {"start": 77.97, "end": 78.13, "word": " ال", "probability": 0.99462890625}, {"start": 78.13, "end": 78.49, "word": " versions", "probability": 0.96337890625}, {"start": 78.49, "end": 78.77, "word": " بتاع", "probability": 0.997802734375}, {"start": 78.77, "end": 78.91, "word": " ال", "probability": 0.97900390625}, {"start": 78.91, "end": 79.23, "word": " light", "probability": 0.92431640625}], "temperature": 1.0}, {"id": 5, "seek": 10060, "start": 80.56, "end": 100.6, "text": "We say that the vergence of the light is equal to one over the distance, one over the distance For example, the light emitted from an object a certain distance This distance, to calculate the vergence of the light, vergence", "tokens": [4360, 584, 300, 264, 1306, 15260, 295, 264, 1442, 307, 2681, 281, 472, 670, 264, 4560, 11, 472, 670, 264, 4560, 1171, 1365, 11, 264, 1442, 44897, 490, 364, 2657, 257, 1629, 4560, 639, 4560, 11, 281, 8873, 264, 1306, 15260, 295, 264, 1442, 11, 1306, 15260], "avg_logprob": -0.5003255469103655, "compression_ratio": 1.7698412698412698, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 80.56, "end": 80.78, "word": "We", "probability": 0.398681640625}, {"start": 80.78, "end": 81.18, "word": " say", "probability": 0.73583984375}, {"start": 81.18, "end": 81.84, "word": " that", "probability": 0.84033203125}, {"start": 81.84, "end": 81.94, "word": " the", "probability": 0.59814453125}, {"start": 81.94, "end": 82.26, "word": " vergence", "probability": 0.5792236328125}, {"start": 82.26, "end": 82.46, "word": " of", "probability": 0.919921875}, {"start": 82.46, "end": 82.64, "word": " the", "probability": 0.28515625}, {"start": 82.64, "end": 82.98, "word": " light", "probability": 0.88623046875}, {"start": 82.98, "end": 85.24, "word": " is", "probability": 0.6240234375}, {"start": 85.24, "end": 85.66, "word": " equal", "probability": 0.53271484375}, {"start": 85.66, "end": 87.0, "word": " to", "probability": 0.9033203125}, {"start": 87.0, "end": 87.54, "word": " one", "probability": 0.62255859375}, {"start": 87.54, "end": 87.78, "word": " over", "probability": 0.62841796875}, {"start": 87.78, "end": 87.9, "word": " the", "probability": 0.58740234375}, {"start": 87.9, "end": 88.26, "word": " distance,", "probability": 0.83935546875}, {"start": 88.36, "end": 88.96, "word": " one", "probability": 0.83203125}, {"start": 88.96, "end": 89.3, "word": " over", "probability": 0.9111328125}, {"start": 89.3, "end": 89.46, "word": " the", "probability": 0.90771484375}, {"start": 89.46, "end": 89.76, "word": " distance", "probability": 0.94287109375}, {"start": 89.76, "end": 90.9, "word": " For", "probability": 0.06854248046875}, {"start": 90.9, "end": 90.9, "word": " example,", "probability": 0.81201171875}, {"start": 90.9, "end": 91.0, "word": " the", "probability": 0.224609375}, {"start": 91.0, "end": 91.14, "word": " light", "probability": 0.4990234375}, {"start": 91.14, "end": 91.46, "word": " emitted", "probability": 0.242431640625}, {"start": 91.46, "end": 92.1, "word": " from", "probability": 0.74560546875}, {"start": 92.1, "end": 92.8, "word": " an", "probability": 0.84375}, {"start": 92.8, "end": 92.8, "word": " object", "probability": 0.97607421875}, {"start": 92.8, "end": 93.18, "word": " a", "probability": 0.232666015625}, {"start": 93.18, "end": 93.34, "word": " certain", "probability": 0.6884765625}, {"start": 93.34, "end": 93.76, "word": " distance", "probability": 0.8427734375}, {"start": 93.76, "end": 95.44, "word": " This", "probability": 0.2176513671875}, {"start": 95.44, "end": 96.04, "word": " distance,", "probability": 0.923828125}, {"start": 97.68, "end": 98.08, "word": " to", "probability": 0.58056640625}, {"start": 98.08, "end": 98.66, "word": " calculate", "probability": 0.78271484375}, {"start": 98.66, "end": 98.96, "word": " the", "probability": 0.8876953125}, {"start": 98.96, "end": 99.32, "word": " vergence", "probability": 0.929931640625}, {"start": 99.32, "end": 99.54, "word": " of", "probability": 0.958984375}, {"start": 99.54, "end": 99.7, "word": " the", "probability": 0.68798828125}, {"start": 99.7, "end": 99.94, "word": " light,", "probability": 0.88330078125}, {"start": 100.06, "end": 100.6, "word": " vergence", "probability": 0.835693359375}], "temperature": 1.0}, {"id": 6, "seek": 11382, "start": 102.52, "end": 113.82, "text": "يساوي واحد على ال distance، ال distance اللي قطعها ال ضُق، واحد على ال distance، يعني لما بنجيب مثلا صورة، بنقول الضُق", "tokens": [1829, 3794, 995, 45865, 36764, 24401, 15844, 2423, 4560, 12399, 2423, 4560, 13672, 1829, 12174, 9566, 3615, 11296, 2423, 48812, 10859, 4587, 12399, 36764, 24401, 15844, 2423, 4560, 12399, 37495, 22653, 5296, 15042, 44945, 7435, 1829, 3555, 50113, 15040, 20328, 13063, 3660, 12399, 44945, 39648, 2423, 11242, 10859, 4587], "avg_logprob": -0.26734373569488523, "compression_ratio": 1.5528455284552845, "no_speech_prob": 5.185604095458984e-06, "words": [{"start": 102.52, "end": 103.36, "word": "يساوي", "probability": 0.6919479370117188}, {"start": 103.36, "end": 104.2, "word": " واحد", "probability": 0.958740234375}, {"start": 104.2, "end": 104.58, "word": " على", "probability": 0.76416015625}, {"start": 104.58, "end": 105.6, "word": " ال", "probability": 0.9658203125}, {"start": 105.6, "end": 106.34, "word": " distance،", "probability": 0.5848388671875}, {"start": 106.34, "end": 106.64, "word": " ال", "probability": 0.9775390625}, {"start": 106.64, "end": 107.04, "word": " distance", "probability": 0.98681640625}, {"start": 107.04, "end": 107.26, "word": " اللي", "probability": 0.832763671875}, {"start": 107.26, "end": 108.08, "word": " قطعها", "probability": 0.9146728515625}, {"start": 108.08, "end": 108.52, "word": " ال", "probability": 0.55224609375}, {"start": 108.52, "end": 108.78, "word": " ضُق،", "probability": 0.662994384765625}, {"start": 108.78, "end": 109.08, "word": " واحد", "probability": 0.976318359375}, {"start": 109.08, "end": 109.22, "word": " على", "probability": 0.82373046875}, {"start": 109.22, "end": 109.36, "word": " ال", "probability": 0.99072265625}, {"start": 109.36, "end": 110.24, "word": " distance،", "probability": 0.758544921875}, {"start": 110.24, "end": 110.58, "word": " يعني", "probability": 0.84912109375}, {"start": 110.58, "end": 111.06, "word": " لما", "probability": 0.9267578125}, {"start": 111.06, "end": 111.74, "word": " بنجيب", "probability": 0.9190673828125}, {"start": 111.74, "end": 112.06, "word": " مثلا", "probability": 0.958251953125}, {"start": 112.06, "end": 112.94, "word": " صورة،", "probability": 0.85400390625}, {"start": 112.94, "end": 113.28, "word": " بنقول", "probability": 0.938232421875}, {"start": 113.28, "end": 113.82, "word": " الضُق", "probability": 0.73956298828125}], "temperature": 1.0}, {"id": 7, "seek": 14135, "start": 114.65, "end": 141.35, "text": "It started from object point, cut a distance, for example, at this point, at this limit that I'm pointing at, we say, cut a distance of two meters, which means one over two meters, one over two meters is equal to half a meter minus one If we add up, we have to calculate the versions of light", "tokens": [3522, 1409, 490, 2657, 935, 11, 1723, 257, 4560, 11, 337, 1365, 11, 412, 341, 935, 11, 412, 341, 4948, 300, 286, 478, 12166, 412, 11, 321, 584, 11, 1723, 257, 4560, 295, 732, 8146, 11, 597, 1355, 472, 670, 732, 8146, 11, 472, 670, 732, 8146, 307, 2681, 281, 1922, 257, 9255, 3175, 472, 759, 321, 909, 493, 11, 321, 362, 281, 8873, 264, 9606, 295, 1442], "avg_logprob": -0.5366847584213036, "compression_ratio": 1.7380952380952381, "no_speech_prob": 1.6093254089355469e-06, "words": [{"start": 114.65, "end": 114.87, "word": "It", "probability": 0.1002197265625}, {"start": 114.87, "end": 115.27, "word": " started", "probability": 0.401611328125}, {"start": 115.27, "end": 115.55, "word": " from", "probability": 0.77734375}, {"start": 115.55, "end": 116.29, "word": " object", "probability": 0.7119140625}, {"start": 116.29, "end": 116.91, "word": " point,", "probability": 0.947265625}, {"start": 117.65, "end": 117.81, "word": " cut", "probability": 0.095458984375}, {"start": 117.81, "end": 117.99, "word": " a", "probability": 0.25244140625}, {"start": 117.99, "end": 118.31, "word": " distance,", "probability": 0.84228515625}, {"start": 118.49, "end": 118.63, "word": " for", "probability": 0.783203125}, {"start": 118.63, "end": 118.75, "word": " example,", "probability": 0.92333984375}, {"start": 118.93, "end": 119.07, "word": " at", "probability": 0.376220703125}, {"start": 119.07, "end": 119.35, "word": " this", "probability": 0.90380859375}, {"start": 119.35, "end": 119.75, "word": " point,", "probability": 0.93408203125}, {"start": 119.89, "end": 120.11, "word": " at", "probability": 0.6513671875}, {"start": 120.11, "end": 120.55, "word": " this", "probability": 0.84033203125}, {"start": 120.55, "end": 121.71, "word": " limit", "probability": 0.329833984375}, {"start": 121.71, "end": 121.85, "word": " that", "probability": 0.63427734375}, {"start": 121.85, "end": 122.15, "word": " I'm", "probability": 0.604248046875}, {"start": 122.15, "end": 122.41, "word": " pointing", "probability": 0.5625}, {"start": 122.41, "end": 122.75, "word": " at,", "probability": 0.3994140625}, {"start": 123.33, "end": 123.57, "word": " we", "probability": 0.50341796875}, {"start": 123.57, "end": 123.89, "word": " say,", "probability": 0.83642578125}, {"start": 124.03, "end": 124.55, "word": " cut", "probability": 0.70068359375}, {"start": 124.55, "end": 124.77, "word": " a", "probability": 0.78857421875}, {"start": 124.77, "end": 125.13, "word": " distance", "probability": 0.94482421875}, {"start": 125.13, "end": 125.29, "word": " of", "probability": 0.80517578125}, {"start": 125.29, "end": 125.41, "word": " two", "probability": 0.72900390625}, {"start": 125.41, "end": 125.73, "word": " meters,", "probability": 0.94189453125}, {"start": 126.31, "end": 126.41, "word": " which", "probability": 0.399658203125}, {"start": 126.41, "end": 126.65, "word": " means", "probability": 0.92138671875}, {"start": 126.65, "end": 127.23, "word": " one", "probability": 0.57568359375}, {"start": 127.23, "end": 127.83, "word": " over", "probability": 0.497802734375}, {"start": 127.83, "end": 128.27, "word": " two", "probability": 0.94775390625}, {"start": 128.27, "end": 128.71, "word": " meters,", "probability": 0.93701171875}, {"start": 128.83, "end": 129.13, "word": " one", "probability": 0.6171875}, {"start": 129.13, "end": 129.45, "word": " over", "probability": 0.90087890625}, {"start": 129.45, "end": 129.75, "word": " two", "probability": 0.9423828125}, {"start": 129.75, "end": 130.17, "word": " meters", "probability": 0.92822265625}, {"start": 130.17, "end": 130.77, "word": " is", "probability": 0.31396484375}, {"start": 130.77, "end": 131.23, "word": " equal", "probability": 0.68115234375}, {"start": 131.23, "end": 132.57, "word": " to", "probability": 0.97216796875}, {"start": 132.57, "end": 132.99, "word": " half", "probability": 0.66357421875}, {"start": 132.99, "end": 133.85, "word": " a", "probability": 0.70947265625}, {"start": 133.85, "end": 134.13, "word": " meter", "probability": 0.91162109375}, {"start": 134.13, "end": 134.45, "word": " minus", "probability": 0.72216796875}, {"start": 134.45, "end": 135.35, "word": " one", "probability": 0.923828125}, {"start": 135.35, "end": 136.77, "word": " If", "probability": 0.1710205078125}, {"start": 136.77, "end": 137.05, "word": " we", "probability": 0.90576171875}, {"start": 137.05, "end": 137.09, "word": " add", "probability": 0.57421875}, {"start": 137.09, "end": 137.91, "word": " up,", "probability": 0.392333984375}, {"start": 137.91, "end": 138.13, "word": " we", "probability": 0.693359375}, {"start": 138.13, "end": 138.25, "word": " have", "probability": 0.427734375}, {"start": 138.25, "end": 138.35, "word": " to", "probability": 0.970703125}, {"start": 138.35, "end": 138.59, "word": " calculate", "probability": 0.75634765625}, {"start": 138.59, "end": 138.81, "word": " the", "probability": 0.806640625}, {"start": 138.81, "end": 139.47, "word": " versions", "probability": 0.4716796875}, {"start": 139.47, "end": 140.93, "word": " of", "probability": 0.89990234375}, {"start": 140.93, "end": 141.35, "word": " light", "probability": 0.59228515625}], "temperature": 1.0}, {"id": 8, "seek": 16897, "start": 142.19, "end": 168.97, "text": "On a distance of 2 meters, we say 1 First, we put a minus sign because this is a divergent light A divergent light takes a minus sign We say 1 on a distance of 2 meters I get the result half minus half meter plus minus one", "tokens": [11747, 257, 4560, 295, 568, 8146, 11, 321, 584, 502, 2386, 11, 321, 829, 257, 3175, 1465, 570, 341, 307, 257, 18558, 6930, 1442, 316, 18558, 6930, 1442, 2516, 257, 3175, 1465, 492, 584, 502, 322, 257, 4560, 295, 568, 8146, 286, 483, 264, 1874, 1922, 3175, 1922, 9255, 1804, 3175, 472], "avg_logprob": -0.5533608400596762, "compression_ratio": 1.6444444444444444, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 142.19, "end": 142.55, "word": "On", "probability": 0.0660400390625}, {"start": 142.55, "end": 142.79, "word": " a", "probability": 0.5185546875}, {"start": 142.79, "end": 143.11, "word": " distance", "probability": 0.85498046875}, {"start": 143.11, "end": 144.37, "word": " of", "probability": 0.681640625}, {"start": 144.37, "end": 147.01, "word": " 2", "probability": 0.595703125}, {"start": 147.01, "end": 147.37, "word": " meters,", "probability": 0.72705078125}, {"start": 147.49, "end": 147.49, "word": " we", "probability": 0.65234375}, {"start": 147.49, "end": 147.65, "word": " say", "probability": 0.53759765625}, {"start": 147.65, "end": 148.31, "word": " 1", "probability": 0.65380859375}, {"start": 148.31, "end": 149.57, "word": " First,", "probability": 0.10595703125}, {"start": 149.75, "end": 149.83, "word": " we", "probability": 0.5986328125}, {"start": 149.83, "end": 150.05, "word": " put", "probability": 0.275390625}, {"start": 150.05, "end": 150.15, "word": " a", "probability": 0.40625}, {"start": 150.15, "end": 150.71, "word": " minus", "probability": 0.849609375}, {"start": 150.71, "end": 150.71, "word": " sign", "probability": 0.85595703125}, {"start": 150.71, "end": 150.97, "word": " because", "probability": 0.52197265625}, {"start": 150.97, "end": 151.19, "word": " this", "probability": 0.42529296875}, {"start": 151.19, "end": 151.21, "word": " is", "probability": 0.89111328125}, {"start": 151.21, "end": 151.43, "word": " a", "probability": 0.7119140625}, {"start": 151.43, "end": 151.91, "word": " divergent", "probability": 0.80224609375}, {"start": 151.91, "end": 152.21, "word": " light", "probability": 0.7900390625}, {"start": 152.21, "end": 152.41, "word": " A", "probability": 0.149169921875}, {"start": 152.41, "end": 152.95, "word": " divergent", "probability": 0.931640625}, {"start": 152.95, "end": 153.31, "word": " light", "probability": 0.88134765625}, {"start": 153.31, "end": 153.69, "word": " takes", "probability": 0.450439453125}, {"start": 153.69, "end": 153.87, "word": " a", "probability": 0.6435546875}, {"start": 153.87, "end": 154.65, "word": " minus", "probability": 0.9541015625}, {"start": 154.65, "end": 154.71, "word": " sign", "probability": 0.81103515625}, {"start": 154.71, "end": 155.21, "word": " We", "probability": 0.39404296875}, {"start": 155.21, "end": 155.35, "word": " say", "probability": 0.91943359375}, {"start": 155.35, "end": 155.83, "word": " 1", "probability": 0.67236328125}, {"start": 155.83, "end": 156.23, "word": " on", "probability": 0.74267578125}, {"start": 156.23, "end": 157.37, "word": " a", "probability": 0.7197265625}, {"start": 157.37, "end": 157.75, "word": " distance", "probability": 0.95703125}, {"start": 157.75, "end": 157.87, "word": " of", "probability": 0.95068359375}, {"start": 157.87, "end": 158.11, "word": " 2", "probability": 0.93701171875}, {"start": 158.11, "end": 158.53, "word": " meters", "probability": 0.91064453125}, {"start": 158.53, "end": 160.65, "word": " I", "probability": 0.33740234375}, {"start": 160.65, "end": 161.09, "word": " get", "probability": 0.403076171875}, {"start": 161.09, "end": 161.71, "word": " the", "probability": 0.413330078125}, {"start": 161.71, "end": 161.71, "word": " result", "probability": 0.84521484375}, {"start": 161.71, "end": 162.23, "word": " half", "probability": 0.2454833984375}, {"start": 162.23, "end": 162.79, "word": " minus", "probability": 0.82373046875}, {"start": 162.79, "end": 163.31, "word": " half", "probability": 0.85546875}, {"start": 163.31, "end": 167.23, "word": " meter", "probability": 0.311279296875}, {"start": 167.23, "end": 168.09, "word": " plus", "probability": 0.366943359375}, {"start": 168.09, "end": 168.47, "word": " minus", "probability": 0.681640625}, {"start": 168.47, "end": 168.97, "word": " one", "probability": 0.61328125}], "temperature": 1.0}, {"id": 9, "seek": 17762, "start": 176.36, "end": 177.62, "text": "I'll get minus one", "tokens": [40, 603, 483, 3175, 472], "avg_logprob": -0.9192708134651184, "compression_ratio": 0.6923076923076923, "no_speech_prob": 0.0, "words": [{"start": 176.36, "end": 176.68, "word": "I'll", "probability": 0.22796630859375}, {"start": 176.68, "end": 176.88, "word": " get", "probability": 0.44677734375}, {"start": 176.88, "end": 177.26, "word": " minus", "probability": 0.365478515625}, {"start": 177.26, "end": 177.62, "word": " one", "probability": 0.49951171875}], "temperature": 1.0}, {"id": 10, "seek": 21302, "start": 194.24, "end": 213.02, "text": "Okay, so minus half meter minus one. If the distance was four meters, we say minus one over four meters minus one. Okay, if I have the other side of the lens, the light is collected, for example, I have the light collected and it will form the image", "tokens": [8297, 11, 370, 3175, 1922, 9255, 3175, 472, 13, 759, 264, 4560, 390, 1451, 8146, 11, 321, 584, 3175, 472, 670, 1451, 8146, 3175, 472, 13, 1033, 11, 498, 286, 362, 264, 661, 1252, 295, 264, 6765, 11, 264, 1442, 307, 1263, 39963, 11, 337, 1365, 11, 286, 362, 264, 1442, 11087, 293, 309, 486, 1254, 264, 3256], "avg_logprob": -0.5095338841616097, "compression_ratio": 1.7054794520547945, "no_speech_prob": 4.827976226806641e-06, "words": [{"start": 194.24, "end": 194.9, "word": "Okay,", "probability": 0.1600341796875}, {"start": 195.24, "end": 195.54, "word": " so", "probability": 0.488525390625}, {"start": 195.54, "end": 196.44, "word": " minus", "probability": 0.3349609375}, {"start": 196.44, "end": 196.94, "word": " half", "probability": 0.5234375}, {"start": 196.94, "end": 197.3, "word": " meter", "probability": 0.470947265625}, {"start": 197.3, "end": 197.72, "word": " minus", "probability": 0.26806640625}, {"start": 197.72, "end": 198.24, "word": " one.", "probability": 0.79931640625}, {"start": 198.24, "end": 198.54, "word": " If", "probability": 0.3046875}, {"start": 198.54, "end": 199.04, "word": " the", "probability": 0.74755859375}, {"start": 199.04, "end": 199.4, "word": " distance", "probability": 0.9375}, {"start": 199.4, "end": 199.74, "word": " was", "probability": 0.64794921875}, {"start": 199.74, "end": 200.06, "word": " four", "probability": 0.73095703125}, {"start": 200.06, "end": 200.44, "word": " meters,", "probability": 0.91943359375}, {"start": 200.5, "end": 200.58, "word": " we", "probability": 0.69873046875}, {"start": 200.58, "end": 200.72, "word": " say", "probability": 0.390869140625}, {"start": 200.72, "end": 201.1, "word": " minus", "probability": 0.8701171875}, {"start": 201.1, "end": 201.62, "word": " one", "probability": 0.89306640625}, {"start": 201.62, "end": 201.92, "word": " over", "probability": 0.2288818359375}, {"start": 201.92, "end": 202.4, "word": " four", "probability": 0.92724609375}, {"start": 202.4, "end": 202.88, "word": " meters", "probability": 0.81005859375}, {"start": 202.88, "end": 203.98, "word": " minus", "probability": 0.8408203125}, {"start": 203.98, "end": 204.62, "word": " one.", "probability": 0.9228515625}, {"start": 204.68, "end": 204.9, "word": " Okay,", "probability": 0.515625}, {"start": 205.16, "end": 205.34, "word": " if", "probability": 0.904296875}, {"start": 205.34, "end": 205.56, "word": " I", "probability": 0.97509765625}, {"start": 205.56, "end": 205.82, "word": " have", "probability": 0.85498046875}, {"start": 205.82, "end": 206.22, "word": " the", "probability": 0.822265625}, {"start": 206.22, "end": 206.26, "word": " other", "probability": 0.82373046875}, {"start": 206.26, "end": 206.64, "word": " side", "probability": 0.83642578125}, {"start": 206.64, "end": 207.08, "word": " of", "probability": 0.96044921875}, {"start": 207.08, "end": 207.26, "word": " the", "probability": 0.91650390625}, {"start": 207.26, "end": 207.64, "word": " lens,", "probability": 0.720703125}, {"start": 208.04, "end": 208.16, "word": " the", "probability": 0.451904296875}, {"start": 208.16, "end": 208.32, "word": " light", "probability": 0.484619140625}, {"start": 208.32, "end": 208.8, "word": " is", "probability": 0.58740234375}, {"start": 208.8, "end": 209.26, "word": " collected,", "probability": 0.54388427734375}, {"start": 209.38, "end": 209.5, "word": " for", "probability": 0.826171875}, {"start": 209.5, "end": 209.68, "word": " example,", "probability": 0.962890625}, {"start": 209.94, "end": 210.0, "word": " I", "probability": 0.66259765625}, {"start": 210.0, "end": 210.2, "word": " have", "probability": 0.9345703125}, {"start": 210.2, "end": 210.28, "word": " the", "probability": 0.434326171875}, {"start": 210.28, "end": 210.46, "word": " light", "probability": 0.85986328125}, {"start": 210.46, "end": 211.04, "word": " collected", "probability": 0.375244140625}, {"start": 211.04, "end": 211.92, "word": " and", "probability": 0.6875}, {"start": 211.92, "end": 212.02, "word": " it", "probability": 0.39453125}, {"start": 212.02, "end": 212.14, "word": " will", "probability": 0.6318359375}, {"start": 212.14, "end": 212.5, "word": " form", "probability": 0.7333984375}, {"start": 212.5, "end": 212.68, "word": " the", "probability": 0.8134765625}, {"start": 212.68, "end": 213.02, "word": " image", "probability": 0.89697265625}], "temperature": 1.0}, {"id": 11, "seek": 24144, "start": 223.54, "end": 241.44, "text": "it's going to create the image as the drawing will show now and at this line or at this distance in space", "tokens": [270, 311, 516, 281, 1884, 264, 3256, 382, 264, 6316, 486, 855, 586, 293, 412, 341, 1622, 420, 412, 341, 4560, 294, 1901], "avg_logprob": -0.6461588268478712, "compression_ratio": 1.2650602409638554, "no_speech_prob": 4.708766937255859e-06, "words": [{"start": 223.54, "end": 223.98, "word": "it's", "probability": 0.190765380859375}, {"start": 223.98, "end": 223.98, "word": " going", "probability": 0.7099609375}, {"start": 223.98, "end": 224.14, "word": " to", "probability": 0.966796875}, {"start": 224.14, "end": 224.54, "word": " create", "probability": 0.366943359375}, {"start": 224.54, "end": 224.82, "word": " the", "probability": 0.45458984375}, {"start": 224.82, "end": 225.24, "word": " image", "probability": 0.814453125}, {"start": 225.24, "end": 226.94, "word": " as", "probability": 0.489013671875}, {"start": 226.94, "end": 227.38, "word": " the", "probability": 0.4072265625}, {"start": 227.38, "end": 227.64, "word": " drawing", "probability": 0.56298828125}, {"start": 227.64, "end": 227.88, "word": " will", "probability": 0.297119140625}, {"start": 227.88, "end": 228.18, "word": " show", "probability": 0.6298828125}, {"start": 228.18, "end": 231.8, "word": " now", "probability": 0.486083984375}, {"start": 231.8, "end": 238.0, "word": " and", "probability": 0.515625}, {"start": 238.0, "end": 238.9, "word": " at", "probability": 0.407958984375}, {"start": 238.9, "end": 239.22, "word": " this", "probability": 0.8876953125}, {"start": 239.22, "end": 239.76, "word": " line", "probability": 0.78955078125}, {"start": 239.76, "end": 240.1, "word": " or", "probability": 0.673828125}, {"start": 240.1, "end": 240.26, "word": " at", "probability": 0.341064453125}, {"start": 240.26, "end": 240.5, "word": " this", "probability": 0.91845703125}, {"start": 240.5, "end": 240.92, "word": " distance", "probability": 0.619140625}, {"start": 240.92, "end": 241.14, "word": " in", "probability": 0.72998046875}, {"start": 241.14, "end": 241.44, "word": " space", "probability": 0.55859375}], "temperature": 1.0}, {"id": 12, "seek": 26806, "start": 243.24, "end": 268.06, "text": "dial of light ..dial of light .. to get it to converge .. it is converging .. convergent light ..dial of light is half a meter .. so the distance from here to the image is half a meter .. how much the divergence of light at this point .. we will say as the following .. divergence of distance is equal to one over the distance", "tokens": [67, 831, 295, 1442, 4386, 67, 831, 295, 1442, 4386, 281, 483, 309, 281, 41881, 4386, 309, 307, 9652, 3249, 4386, 9652, 6930, 1442, 4386, 67, 831, 295, 1442, 307, 1922, 257, 9255, 4386, 370, 264, 4560, 490, 510, 281, 264, 3256, 307, 1922, 257, 9255, 4386, 577, 709, 264, 47387, 295, 1442, 412, 341, 935, 4386, 321, 486, 584, 382, 264, 3480, 4386, 47387, 295, 4560, 307, 2681, 281, 472, 670, 264, 4560], "avg_logprob": -0.5737500127156575, "compression_ratio": 2.050314465408805, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 243.24, "end": 243.74, "word": "dial", "probability": 0.5208740234375}, {"start": 243.74, "end": 244.08, "word": " of", "probability": 0.4609375}, {"start": 244.08, "end": 244.32, "word": " light", "probability": 0.75732421875}, {"start": 244.32, "end": 244.8, "word": " ..dial", "probability": 0.4690348307291667}, {"start": 244.8, "end": 245.04, "word": " of", "probability": 0.94677734375}, {"start": 245.04, "end": 245.22, "word": " light", "probability": 0.89111328125}, {"start": 245.22, "end": 245.3, "word": " ..", "probability": 0.451416015625}, {"start": 245.3, "end": 245.46, "word": " to", "probability": 0.3486328125}, {"start": 245.46, "end": 245.84, "word": " get", "probability": 0.260986328125}, {"start": 245.84, "end": 246.18, "word": " it", "probability": 0.1497802734375}, {"start": 246.18, "end": 246.34, "word": " to", "probability": 0.64697265625}, {"start": 246.34, "end": 246.56, "word": " converge", "probability": 0.26416015625}, {"start": 246.56, "end": 247.18, "word": " ..", "probability": 0.2305908203125}, {"start": 247.18, "end": 247.56, "word": " it", "probability": 0.2491455078125}, {"start": 247.56, "end": 247.72, "word": " is", "probability": 0.486572265625}, {"start": 247.72, "end": 248.32, "word": " converging", "probability": 0.6297607421875}, {"start": 248.32, "end": 248.46, "word": " ..", "probability": 0.416015625}, {"start": 248.46, "end": 249.06, "word": " convergent", "probability": 0.6563720703125}, {"start": 249.06, "end": 249.48, "word": " light", "probability": 0.71533203125}, {"start": 249.48, "end": 250.4, "word": " ..dial", "probability": 0.6107584635416666}, {"start": 250.4, "end": 250.58, "word": " of", "probability": 0.9609375}, {"start": 250.58, "end": 250.72, "word": " light", "probability": 0.87451171875}, {"start": 250.72, "end": 250.84, "word": " is", "probability": 0.475341796875}, {"start": 250.84, "end": 251.02, "word": " half", "probability": 0.68701171875}, {"start": 251.02, "end": 251.12, "word": " a", "probability": 0.360595703125}, {"start": 251.12, "end": 251.24, "word": " meter", "probability": 0.9189453125}, {"start": 251.24, "end": 251.32, "word": " ..", "probability": 0.58447265625}, {"start": 251.32, "end": 251.4, "word": " so", "probability": 0.296875}, {"start": 251.4, "end": 251.52, "word": " the", "probability": 0.4931640625}, {"start": 251.52, "end": 251.7, "word": " distance", "probability": 0.896484375}, {"start": 251.7, "end": 251.88, "word": " from", "probability": 0.78515625}, {"start": 251.88, "end": 252.1, "word": " here", "probability": 0.80419921875}, {"start": 252.1, "end": 252.24, "word": " to", "probability": 0.9384765625}, {"start": 252.24, "end": 252.36, "word": " the", "probability": 0.84619140625}, {"start": 252.36, "end": 252.66, "word": " image", "probability": 0.8251953125}, {"start": 252.66, "end": 252.76, "word": " is", "probability": 0.916015625}, {"start": 252.76, "end": 252.96, "word": " half", "probability": 0.8154296875}, {"start": 252.96, "end": 253.04, "word": " a", "probability": 0.955078125}, {"start": 253.04, "end": 253.26, "word": " meter", "probability": 0.92041015625}, {"start": 253.26, "end": 253.44, "word": " ..", "probability": 0.79638671875}, {"start": 253.44, "end": 253.66, "word": " how", "probability": 0.5302734375}, {"start": 253.66, "end": 253.94, "word": " much", "probability": 0.63671875}, {"start": 253.94, "end": 254.08, "word": " the", "probability": 0.37109375}, {"start": 254.08, "end": 254.4, "word": " divergence", "probability": 0.3896484375}, {"start": 254.4, "end": 255.68, "word": " of", "probability": 0.57177734375}, {"start": 255.68, "end": 256.18, "word": " light", "probability": 0.578125}, {"start": 256.18, "end": 256.4, "word": " at", "probability": 0.59912109375}, {"start": 256.4, "end": 256.66, "word": " this", "probability": 0.86474609375}, {"start": 256.66, "end": 257.04, "word": " point", "probability": 0.96240234375}, {"start": 257.04, "end": 257.42, "word": " ..", "probability": 0.611328125}, {"start": 257.42, "end": 257.76, "word": " we", "probability": 0.75830078125}, {"start": 257.76, "end": 257.86, "word": " will", "probability": 0.6865234375}, {"start": 257.86, "end": 258.12, "word": " say", "probability": 0.9091796875}, {"start": 258.12, "end": 258.82, "word": " as", "probability": 0.4931640625}, {"start": 258.82, "end": 259.16, "word": " the", "probability": 0.334716796875}, {"start": 259.16, "end": 259.16, "word": " following", "probability": 0.6650390625}, {"start": 259.16, "end": 259.8, "word": " ..", "probability": 0.471435546875}, {"start": 259.8, "end": 262.02, "word": " divergence", "probability": 0.49072265625}, {"start": 262.02, "end": 263.6, "word": " of", "probability": 0.2841796875}, {"start": 263.6, "end": 264.28, "word": " distance", "probability": 0.55712890625}, {"start": 264.28, "end": 264.8, "word": " is", "probability": 0.42236328125}, {"start": 264.8, "end": 265.2, "word": " equal", "probability": 0.607421875}, {"start": 265.2, "end": 266.7, "word": " to", "probability": 0.94189453125}, {"start": 266.7, "end": 267.14, "word": " one", "probability": 0.57763671875}, {"start": 267.14, "end": 267.48, "word": " over", "probability": 0.75634765625}, {"start": 267.48, "end": 267.64, "word": " the", "probability": 0.3798828125}, {"start": 267.64, "end": 268.06, "word": " distance", "probability": 0.92822265625}], "temperature": 1.0}, {"id": 13, "seek": 29579, "start": 269.51, "end": 295.79, "text": "Now we calculate the distance not from the object but from the image because now we are on the other side and we are working with the image and it is equal to one of course plus why plus because the light is convergent if it is on the side of the object and the light is divergent we give it a minus sign if it is convergent we give it a plus sign half a meter is left this distance is half a meter and it forms the image so one plus one over half a meter", "tokens": [13267, 321, 8873, 264, 4560, 406, 490, 264, 2657, 457, 490, 264, 3256, 570, 586, 321, 366, 322, 264, 661, 1252, 293, 321, 366, 1364, 365, 264, 3256, 293, 309, 307, 2681, 281, 472, 295, 1164, 1804, 983, 1804, 570, 264, 1442, 307, 9652, 6930, 498, 309, 307, 322, 264, 1252, 295, 264, 2657, 293, 264, 1442, 307, 18558, 6930, 321, 976, 309, 257, 3175, 1465, 498, 309, 307, 9652, 6930, 321, 976, 309, 257, 1804, 1465, 1922, 257, 9255, 307, 1411, 341, 4560, 307, 1922, 257, 9255, 293, 309, 6422, 264, 3256, 370, 472, 1804, 472, 670, 1922, 257, 9255], "avg_logprob": -0.3906249924033296, "compression_ratio": 2.136150234741784, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 269.51, "end": 269.89, "word": "Now", "probability": 0.40283203125}, {"start": 269.89, "end": 270.05, "word": " we", "probability": 0.69775390625}, {"start": 270.05, "end": 270.23, "word": " calculate", "probability": 0.35107421875}, {"start": 270.23, "end": 270.37, "word": " the", "probability": 0.227783203125}, {"start": 270.37, "end": 270.69, "word": " distance", "probability": 0.94677734375}, {"start": 270.69, "end": 270.87, "word": " not", "probability": 0.63232421875}, {"start": 270.87, "end": 271.03, "word": " from", "probability": 0.83251953125}, {"start": 271.03, "end": 271.13, "word": " the", "probability": 0.65234375}, {"start": 271.13, "end": 271.39, "word": " object", "probability": 0.94140625}, {"start": 271.39, "end": 271.57, "word": " but", "probability": 0.56884765625}, {"start": 271.57, "end": 271.65, "word": " from", "probability": 0.86376953125}, {"start": 271.65, "end": 271.77, "word": " the", "probability": 0.853515625}, {"start": 271.77, "end": 272.01, "word": " image", "probability": 0.908203125}, {"start": 272.01, "end": 272.23, "word": " because", "probability": 0.48193359375}, {"start": 272.23, "end": 272.83, "word": " now", "probability": 0.3076171875}, {"start": 272.83, "end": 272.91, "word": " we", "probability": 0.8427734375}, {"start": 272.91, "end": 272.91, "word": " are", "probability": 0.642578125}, {"start": 272.91, "end": 273.03, "word": " on", "probability": 0.68408203125}, {"start": 273.03, "end": 273.17, "word": " the", "probability": 0.87744140625}, {"start": 273.17, "end": 273.75, "word": " other", "probability": 0.64013671875}, {"start": 273.75, "end": 273.75, "word": " side", "probability": 0.82568359375}, {"start": 273.75, "end": 274.45, "word": " and", "probability": 0.724609375}, {"start": 274.45, "end": 274.63, "word": " we", "probability": 0.58984375}, {"start": 274.63, "end": 274.67, "word": " are", "probability": 0.544921875}, {"start": 274.67, "end": 274.93, "word": " working", "probability": 0.79833984375}, {"start": 274.93, "end": 275.21, "word": " with", "probability": 0.86572265625}, {"start": 275.21, "end": 275.45, "word": " the", "probability": 0.82958984375}, {"start": 275.45, "end": 275.71, "word": " image", "probability": 0.9267578125}, {"start": 275.71, "end": 275.81, "word": " and", "probability": 0.385009765625}, {"start": 275.81, "end": 275.93, "word": " it", "probability": 0.826171875}, {"start": 275.93, "end": 275.99, "word": " is", "probability": 0.387451171875}, {"start": 275.99, "end": 276.25, "word": " equal", "probability": 0.7509765625}, {"start": 276.25, "end": 276.49, "word": " to", "probability": 0.64453125}, {"start": 276.49, "end": 276.81, "word": " one", "probability": 0.515625}, {"start": 276.81, "end": 277.31, "word": " of", "probability": 0.2369384765625}, {"start": 277.31, "end": 277.39, "word": " course", "probability": 0.9482421875}, {"start": 277.39, "end": 277.89, "word": " plus", "probability": 0.80517578125}, {"start": 277.89, "end": 278.33, "word": " why", "probability": 0.2347412109375}, {"start": 278.33, "end": 278.69, "word": " plus", "probability": 0.82080078125}, {"start": 278.69, "end": 278.89, "word": " because", "probability": 0.5126953125}, {"start": 278.89, "end": 279.13, "word": " the", "probability": 0.52001953125}, {"start": 279.13, "end": 279.21, "word": " light", "probability": 0.7666015625}, {"start": 279.21, "end": 279.35, "word": " is", "probability": 0.9052734375}, {"start": 279.35, "end": 279.95, "word": " convergent", "probability": 0.94189453125}, {"start": 279.95, "end": 280.45, "word": " if", "probability": 0.378173828125}, {"start": 280.45, "end": 280.85, "word": " it", "probability": 0.70751953125}, {"start": 280.85, "end": 281.63, "word": " is", "probability": 0.8115234375}, {"start": 281.63, "end": 281.87, "word": " on", "probability": 0.85107421875}, {"start": 281.87, "end": 282.01, "word": " the", "probability": 0.88623046875}, {"start": 282.01, "end": 282.13, "word": " side", "probability": 0.53466796875}, {"start": 282.13, "end": 282.33, "word": " of", "probability": 0.9541015625}, {"start": 282.33, "end": 282.41, "word": " the", "probability": 0.876953125}, {"start": 282.41, "end": 282.71, "word": " object", "probability": 0.96484375}, {"start": 282.71, "end": 282.93, "word": " and", "probability": 0.90283203125}, {"start": 282.93, "end": 282.99, "word": " the", "probability": 0.7763671875}, {"start": 282.99, "end": 283.11, "word": " light", "probability": 0.873046875}, {"start": 283.11, "end": 283.21, "word": " is", "probability": 0.921875}, {"start": 283.21, "end": 283.79, "word": " divergent", "probability": 0.9052734375}, {"start": 283.79, "end": 283.97, "word": " we", "probability": 0.62451171875}, {"start": 283.97, "end": 284.15, "word": " give", "probability": 0.78955078125}, {"start": 284.15, "end": 284.31, "word": " it", "probability": 0.7109375}, {"start": 284.31, "end": 284.35, "word": " a", "probability": 0.499755859375}, {"start": 284.35, "end": 285.01, "word": " minus", "probability": 0.7705078125}, {"start": 285.01, "end": 285.01, "word": " sign", "probability": 0.71630859375}, {"start": 285.01, "end": 285.41, "word": " if", "probability": 0.41015625}, {"start": 285.41, "end": 285.79, "word": " it", "probability": 0.88623046875}, {"start": 285.79, "end": 286.07, "word": " is", "probability": 0.9072265625}, {"start": 286.07, "end": 286.73, "word": " convergent", "probability": 0.937255859375}, {"start": 286.73, "end": 286.87, "word": " we", "probability": 0.7783203125}, {"start": 286.87, "end": 287.01, "word": " give", "probability": 0.87109375}, {"start": 287.01, "end": 287.17, "word": " it", "probability": 0.9033203125}, {"start": 287.17, "end": 287.21, "word": " a", "probability": 0.87109375}, {"start": 287.21, "end": 287.85, "word": " plus", "probability": 0.93701171875}, {"start": 287.85, "end": 288.19, "word": " sign", "probability": 0.77734375}, {"start": 288.19, "end": 288.85, "word": " half", "probability": 0.1763916015625}, {"start": 288.85, "end": 289.09, "word": " a", "probability": 0.44970703125}, {"start": 289.09, "end": 289.29, "word": " meter", "probability": 0.93115234375}, {"start": 289.29, "end": 289.29, "word": " is", "probability": 0.226318359375}, {"start": 289.29, "end": 289.29, "word": " left", "probability": 0.7421875}, {"start": 289.29, "end": 289.55, "word": " this", "probability": 0.35986328125}, {"start": 289.55, "end": 289.99, "word": " distance", "probability": 0.74072265625}, {"start": 289.99, "end": 290.09, "word": " is", "probability": 0.458984375}, {"start": 290.09, "end": 290.21, "word": " half", "probability": 0.78369140625}, {"start": 290.21, "end": 290.29, "word": " a", "probability": 0.94677734375}, {"start": 290.29, "end": 290.45, "word": " meter", "probability": 0.92919921875}, {"start": 290.45, "end": 290.61, "word": " and", "probability": 0.74609375}, {"start": 290.61, "end": 290.65, "word": " it", "probability": 0.434326171875}, {"start": 290.65, "end": 290.91, "word": " forms", "probability": 0.4560546875}, {"start": 290.91, "end": 291.07, "word": " the", "probability": 0.83544921875}, {"start": 291.07, "end": 291.33, "word": " image", "probability": 0.91845703125}, {"start": 291.33, "end": 291.57, "word": " so", "probability": 0.45361328125}, {"start": 291.57, "end": 291.99, "word": " one", "probability": 0.85693359375}, {"start": 291.99, "end": 292.93, "word": " plus", "probability": 0.92333984375}, {"start": 292.93, "end": 293.41, "word": " one", "probability": 0.9375}, {"start": 293.41, "end": 293.79, "word": " over", "probability": 0.314208984375}, {"start": 293.79, "end": 295.41, "word": " half", "probability": 0.7333984375}, {"start": 295.41, "end": 295.55, "word": " a", "probability": 0.927734375}, {"start": 295.55, "end": 295.79, "word": " meter", "probability": 0.93310546875}], "temperature": 1.0}, {"id": 14, "seek": 33021, "start": 300.71, "end": 330.21, "text": "and it's equal to two meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus one meters minus", "tokens": [474, 309, 311, 2681, 281, 732, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175, 472, 8146, 3175], "avg_logprob": -0.12645833121405708, "compression_ratio": 22.464285714285715, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 300.71, "end": 300.93, "word": "and", "probability": 0.127197265625}, {"start": 300.93, "end": 301.13, "word": " it's", "probability": 0.41650390625}, {"start": 301.13, "end": 301.43, "word": " equal", "probability": 0.603515625}, {"start": 301.43, "end": 302.87, "word": " to", "probability": 0.91845703125}, {"start": 302.87, "end": 303.37, "word": " two", "probability": 0.21435546875}, {"start": 303.37, "end": 306.19, "word": " meters", "probability": 0.63525390625}, {"start": 306.19, "end": 306.47, "word": " minus", "probability": 0.89111328125}, {"start": 306.47, "end": 307.13, "word": " one", "probability": 0.927734375}, {"start": 307.13, "end": 309.85, "word": " meters", "probability": 0.654296875}, {"start": 309.85, "end": 310.19, "word": " minus", "probability": 0.96826171875}, {"start": 310.19, "end": 310.87, "word": " one", "probability": 0.9326171875}, {"start": 310.87, "end": 313.13, "word": " meters", "probability": 0.269287109375}, {"start": 313.13, "end": 318.29, "word": " minus", "probability": 0.97412109375}, {"start": 318.29, "end": 318.79, "word": " one", "probability": 0.9365234375}, {"start": 318.79, "end": 318.79, "word": " meters", "probability": 0.11279296875}, {"start": 318.79, "end": 318.79, "word": " minus", "probability": 0.837890625}, {"start": 318.79, "end": 318.81, "word": " one", "probability": 0.93701171875}, {"start": 318.81, "end": 319.11, "word": " meters", "probability": 0.267822265625}, {"start": 319.11, "end": 320.03, "word": " minus", "probability": 0.8701171875}, {"start": 320.03, "end": 320.03, "word": " one", "probability": 0.93408203125}, {"start": 320.03, "end": 320.21, "word": " meters", "probability": 0.65771484375}, {"start": 320.21, "end": 320.21, "word": " minus", "probability": 0.88818359375}, {"start": 320.21, "end": 320.21, "word": " one", "probability": 0.93212890625}, {"start": 320.21, "end": 320.21, "word": " meters", "probability": 0.7890625}, {"start": 320.21, "end": 320.21, "word": " minus", "probability": 0.85693359375}, {"start": 320.21, "end": 320.21, "word": " one", "probability": 0.93310546875}, {"start": 320.21, "end": 320.27, "word": " meters", "probability": 0.85595703125}, {"start": 320.27, "end": 320.27, "word": " minus", "probability": 0.7724609375}, {"start": 320.27, "end": 320.27, "word": " one", "probability": 0.93408203125}, {"start": 320.27, "end": 320.27, "word": " meters", "probability": 0.88037109375}, {"start": 320.27, "end": 320.27, "word": " minus", "probability": 0.6357421875}, {"start": 320.27, "end": 320.27, "word": " one", "probability": 0.93408203125}, {"start": 320.27, "end": 320.27, "word": " meters", "probability": 0.890625}, {"start": 320.27, "end": 320.27, "word": " minus", "probability": 0.51123046875}, {"start": 320.27, "end": 320.27, "word": " one", "probability": 0.935546875}, {"start": 320.27, "end": 320.27, "word": " meters", "probability": 0.89599609375}, {"start": 320.27, "end": 320.27, "word": " minus", "probability": 0.51416015625}, {"start": 320.27, "end": 320.27, "word": " one", "probability": 0.93603515625}, {"start": 320.27, "end": 320.27, "word": " meters", "probability": 0.90087890625}, {"start": 320.27, "end": 320.27, "word": " minus", "probability": 0.6083984375}, {"start": 320.27, "end": 320.27, "word": " one", "probability": 0.93701171875}, {"start": 320.27, "end": 320.27, "word": " meters", "probability": 0.90576171875}, {"start": 320.27, "end": 320.27, "word": " minus", "probability": 0.7177734375}, {"start": 320.27, "end": 320.27, "word": " one", "probability": 0.9375}, {"start": 320.27, "end": 320.27, "word": " meters", "probability": 0.91015625}, {"start": 320.27, "end": 321.49, "word": " minus", "probability": 0.8095703125}, {"start": 321.49, "end": 321.49, "word": " one", "probability": 0.93896484375}, {"start": 321.49, "end": 321.49, "word": " meters", "probability": 0.91455078125}, {"start": 321.49, "end": 321.79, "word": " minus", "probability": 0.87353515625}, {"start": 321.79, "end": 321.79, "word": " one", "probability": 0.93994140625}, {"start": 321.79, "end": 321.79, "word": " meters", "probability": 0.91796875}, {"start": 321.79, "end": 321.87, "word": " minus", "probability": 0.89794921875}, {"start": 321.87, "end": 321.99, "word": " one", "probability": 0.939453125}, {"start": 321.99, "end": 321.99, "word": " meters", "probability": 0.92138671875}, {"start": 321.99, "end": 321.99, "word": " minus", "probability": 0.921875}, {"start": 321.99, "end": 321.99, "word": " one", "probability": 0.94091796875}, {"start": 321.99, "end": 321.99, "word": " meters", "probability": 0.92431640625}, {"start": 321.99, "end": 321.99, "word": " minus", "probability": 0.94140625}, {"start": 321.99, "end": 321.99, "word": " one", "probability": 0.9404296875}, {"start": 321.99, "end": 321.99, "word": " meters", "probability": 0.92626953125}, {"start": 321.99, "end": 321.99, "word": " minus", "probability": 0.95068359375}, {"start": 321.99, "end": 321.99, "word": " one", "probability": 0.94091796875}, {"start": 321.99, "end": 321.99, "word": " meters", "probability": 0.92919921875}, {"start": 321.99, "end": 321.99, "word": " minus", "probability": 0.958984375}, {"start": 321.99, "end": 322.19, "word": " one", "probability": 0.94189453125}, {"start": 322.19, "end": 322.31, "word": " meters", "probability": 0.93017578125}, {"start": 322.31, "end": 322.81, "word": " minus", "probability": 0.96435546875}, {"start": 322.81, "end": 323.25, "word": " one", "probability": 0.94140625}, {"start": 323.25, "end": 323.25, "word": " meters", "probability": 0.9326171875}, {"start": 323.25, "end": 323.59, "word": " minus", "probability": 0.96875}, {"start": 323.59, "end": 323.59, "word": " one", "probability": 0.94140625}, {"start": 323.59, "end": 323.59, "word": " meters", "probability": 0.93408203125}, {"start": 323.59, "end": 323.59, "word": " minus", "probability": 0.97216796875}, {"start": 323.59, "end": 323.59, "word": " one", "probability": 0.9423828125}, {"start": 323.59, "end": 323.59, "word": " meters", "probability": 0.935546875}, {"start": 323.59, "end": 323.91, "word": " minus", "probability": 0.974609375}, {"start": 323.91, "end": 324.25, "word": " one", "probability": 0.9423828125}, {"start": 324.25, "end": 324.25, "word": " meters", "probability": 0.93701171875}, {"start": 324.25, "end": 325.05, "word": " minus", "probability": 0.97705078125}, {"start": 325.05, "end": 325.53, "word": " one", "probability": 0.94287109375}, {"start": 325.53, "end": 325.53, "word": " meters", "probability": 0.93896484375}, {"start": 325.53, "end": 325.89, "word": " minus", "probability": 0.978515625}, {"start": 325.89, "end": 327.33, "word": " one", "probability": 0.94287109375}, {"start": 327.33, "end": 327.33, "word": " meters", "probability": 0.93994140625}, {"start": 327.33, "end": 327.99, "word": " minus", "probability": 0.97802734375}, {"start": 327.99, "end": 328.53, "word": " one", "probability": 0.94287109375}, {"start": 328.53, "end": 328.57, "word": " meters", "probability": 0.94140625}, {"start": 328.57, "end": 329.11, "word": " minus", "probability": 0.97900390625}, {"start": 329.11, "end": 329.89, "word": " one", "probability": 0.94384765625}, {"start": 329.89, "end": 329.93, "word": " meters", "probability": 0.9423828125}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.9794921875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.94287109375}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.94384765625}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.9794921875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.943359375}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.9443359375}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.98046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.94384765625}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.9453125}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97998046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.943359375}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.94580078125}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97998046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.94482421875}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.9462890625}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.978515625}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.9443359375}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.94677734375}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97998046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.94384765625}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.947265625}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97998046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.943359375}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.94775390625}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.978515625}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.94384765625}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.947265625}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97900390625}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.94384765625}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.94775390625}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97802734375}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.94287109375}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.94677734375}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97900390625}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.9423828125}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.9462890625}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97998046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.94189453125}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.9453125}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.978515625}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.94140625}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.9443359375}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97998046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.94091796875}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.943359375}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.9794921875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.939453125}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.94287109375}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.98046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.939453125}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.94091796875}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97998046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.93798828125}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.9404296875}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97998046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.9384765625}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.93798828125}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97998046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.9365234375}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.93603515625}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.98046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.935546875}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.93359375}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97998046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.9345703125}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.9306640625}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97998046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.93359375}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.92724609375}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97998046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.93212890625}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.923828125}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97998046875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.9306640625}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.91943359375}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.9794921875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.93017578125}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.916015625}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.978515625}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.92919921875}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.91259765625}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97900390625}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.92822265625}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.9072265625}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.9775390625}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.92724609375}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.90380859375}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.978515625}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.92529296875}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.8994140625}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.9775390625}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.923828125}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.89599609375}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.9775390625}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.92236328125}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.8896484375}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97705078125}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.92138671875}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.8857421875}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.9765625}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.92041015625}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.87841796875}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97607421875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.91943359375}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.87548828125}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.9765625}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.9189453125}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.87109375}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.9755859375}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.91748046875}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.8671875}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.974609375}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.91650390625}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.86376953125}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.9755859375}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.916015625}, {"start": 329.93, "end": 329.93, "word": " meters", "probability": 0.8642578125}, {"start": 329.93, "end": 329.93, "word": " minus", "probability": 0.97607421875}, {"start": 329.93, "end": 329.93, "word": " one", "probability": 0.91552734375}, {"start": 329.93, "end": 329.95, "word": " meters", "probability": 0.857421875}, {"start": 329.95, "end": 329.97, "word": " minus", "probability": 0.97412109375}, {"start": 329.97, "end": 329.99, "word": " one", "probability": 0.9150390625}, {"start": 329.99, "end": 330.01, "word": " meters", "probability": 0.85400390625}, {"start": 330.01, "end": 330.03, "word": " minus", "probability": 0.97314453125}, {"start": 330.03, "end": 330.05, "word": " one", "probability": 0.9130859375}, {"start": 330.05, "end": 330.07, "word": " meters", "probability": 0.85205078125}, {"start": 330.07, "end": 330.09, "word": " minus", "probability": 0.97216796875}, {"start": 330.09, "end": 330.11, "word": " one", "probability": 0.912109375}, {"start": 330.11, "end": 330.13, "word": " meters", "probability": 0.849609375}, {"start": 330.13, "end": 330.15, "word": " minus", "probability": 0.96337890625}, {"start": 330.15, "end": 330.17, "word": " one", "probability": 0.912109375}, {"start": 330.17, "end": 330.19, "word": " meters", "probability": 0.84912109375}, {"start": 330.19, "end": 330.21, "word": " minus", "probability": 0.9736328125}], "temperature": 1.0}, {"id": 15, "seek": 35599, "start": 330.77, "end": 355.99, "text": "And it's convergent, I give it a plus sign Of course, when it's away from the object and it's scattered, I have to calculate the distance from the object to the point I want to calculate Okay, now for example I have a third example With the same drawing, we say the light came out of the object The object is three meters away from", "tokens": [5289, 309, 311, 9652, 6930, 11, 286, 976, 309, 257, 1804, 1465, 2720, 1164, 11, 562, 309, 311, 1314, 490, 264, 2657, 293, 309, 311, 21986, 11, 286, 362, 281, 8873, 264, 4560, 490, 264, 2657, 281, 264, 935, 286, 528, 281, 8873, 1033, 11, 586, 337, 1365, 286, 362, 257, 2636, 1365, 2022, 264, 912, 6316, 11, 321, 584, 264, 1442, 1361, 484, 295, 264, 2657, 440, 2657, 307, 1045, 8146, 1314, 490], "avg_logprob": -0.43541668097178143, "compression_ratio": 1.6974358974358974, "no_speech_prob": 1.2099742889404297e-05, "words": [{"start": 330.77, "end": 330.97, "word": "And", "probability": 0.214599609375}, {"start": 330.97, "end": 331.21, "word": " it's", "probability": 0.5625}, {"start": 331.21, "end": 331.85, "word": " convergent,", "probability": 0.809814453125}, {"start": 331.93, "end": 331.99, "word": " I", "probability": 0.5400390625}, {"start": 331.99, "end": 332.19, "word": " give", "probability": 0.6923828125}, {"start": 332.19, "end": 332.33, "word": " it", "probability": 0.85205078125}, {"start": 332.33, "end": 332.39, "word": " a", "probability": 0.6806640625}, {"start": 332.39, "end": 333.07, "word": " plus", "probability": 0.8203125}, {"start": 333.07, "end": 333.07, "word": " sign", "probability": 0.86572265625}, {"start": 333.07, "end": 333.67, "word": " Of", "probability": 0.53271484375}, {"start": 333.67, "end": 333.75, "word": " course,", "probability": 0.9599609375}, {"start": 333.79, "end": 333.93, "word": " when", "probability": 0.74267578125}, {"start": 333.93, "end": 334.29, "word": " it's", "probability": 0.805419921875}, {"start": 334.29, "end": 334.57, "word": " away", "probability": 0.05523681640625}, {"start": 334.57, "end": 334.83, "word": " from", "probability": 0.88427734375}, {"start": 334.83, "end": 334.99, "word": " the", "probability": 0.85791015625}, {"start": 334.99, "end": 335.37, "word": " object", "probability": 0.978515625}, {"start": 335.37, "end": 335.57, "word": " and", "probability": 0.76171875}, {"start": 335.57, "end": 335.65, "word": " it's", "probability": 0.55987548828125}, {"start": 335.65, "end": 336.13, "word": " scattered,", "probability": 0.0604248046875}, {"start": 336.35, "end": 336.43, "word": " I", "probability": 0.943359375}, {"start": 336.43, "end": 336.55, "word": " have", "probability": 0.486572265625}, {"start": 336.55, "end": 336.61, "word": " to", "probability": 0.97021484375}, {"start": 336.61, "end": 336.79, "word": " calculate", "probability": 0.8349609375}, {"start": 336.79, "end": 336.97, "word": " the", "probability": 0.8203125}, {"start": 336.97, "end": 337.29, "word": " distance", "probability": 0.94287109375}, {"start": 337.29, "end": 337.49, "word": " from", "probability": 0.8486328125}, {"start": 337.49, "end": 337.65, "word": " the", "probability": 0.8837890625}, {"start": 337.65, "end": 338.07, "word": " object", "probability": 0.970703125}, {"start": 338.07, "end": 338.29, "word": " to", "probability": 0.93994140625}, {"start": 338.29, "end": 338.71, "word": " the", "probability": 0.8935546875}, {"start": 338.71, "end": 339.03, "word": " point", "probability": 0.9462890625}, {"start": 339.03, "end": 339.31, "word": " I", "probability": 0.40185546875}, {"start": 339.31, "end": 339.53, "word": " want", "probability": 0.54052734375}, {"start": 339.53, "end": 339.57, "word": " to", "probability": 0.95751953125}, {"start": 339.57, "end": 339.81, "word": " calculate", "probability": 0.89404296875}, {"start": 339.81, "end": 340.81, "word": " Okay,", "probability": 0.26904296875}, {"start": 341.35, "end": 341.69, "word": " now", "probability": 0.77587890625}, {"start": 341.69, "end": 342.03, "word": " for", "probability": 0.33837890625}, {"start": 342.03, "end": 342.25, "word": " example", "probability": 0.931640625}, {"start": 342.25, "end": 342.43, "word": " I", "probability": 0.70849609375}, {"start": 342.43, "end": 342.63, "word": " have", "probability": 0.9248046875}, {"start": 342.63, "end": 342.97, "word": " a", "probability": 0.90185546875}, {"start": 342.97, "end": 343.57, "word": " third", "probability": 0.90380859375}, {"start": 343.57, "end": 343.61, "word": " example", "probability": 0.970703125}, {"start": 343.61, "end": 344.59, "word": " With", "probability": 0.379638671875}, {"start": 344.59, "end": 344.93, "word": " the", "probability": 0.92138671875}, {"start": 344.93, "end": 344.93, "word": " same", "probability": 0.89892578125}, {"start": 344.93, "end": 345.37, "word": " drawing,", "probability": 0.734375}, {"start": 346.03, "end": 346.11, "word": " we", "probability": 0.69970703125}, {"start": 346.11, "end": 346.37, "word": " say", "probability": 0.84423828125}, {"start": 346.37, "end": 346.57, "word": " the", "probability": 0.325927734375}, {"start": 346.57, "end": 346.85, "word": " light", "probability": 0.81640625}, {"start": 346.85, "end": 347.33, "word": " came", "probability": 0.220947265625}, {"start": 347.33, "end": 347.61, "word": " out", "probability": 0.404052734375}, {"start": 347.61, "end": 347.83, "word": " of", "probability": 0.818359375}, {"start": 347.83, "end": 347.97, "word": " the", "probability": 0.919921875}, {"start": 347.97, "end": 348.45, "word": " object", "probability": 0.98095703125}, {"start": 348.45, "end": 349.15, "word": " The", "probability": 0.7265625}, {"start": 349.15, "end": 349.57, "word": " object", "probability": 0.982421875}, {"start": 349.57, "end": 349.77, "word": " is", "probability": 0.884765625}, {"start": 349.77, "end": 351.53, "word": " three", "probability": 0.465576171875}, {"start": 351.53, "end": 355.09, "word": " meters", "probability": 0.9248046875}, {"start": 355.09, "end": 355.43, "word": " away", "probability": 0.83642578125}, {"start": 355.43, "end": 355.99, "word": " from", "probability": 0.88720703125}], "temperature": 1.0}, {"id": 16, "seek": 38583, "start": 359.45, "end": 385.83, "text": "or let's say without using a triangle, let's say twenty centimeters let's say the distance is twenty centimeters that is, from the object to the lens is twenty centimeters we want to calculate the vergence what is the vergence of light at the surface of the lens at the surface of the lens, we say as follows the vergence equals", "tokens": [284, 718, 311, 584, 1553, 1228, 257, 13369, 11, 718, 311, 584, 7699, 23300, 718, 311, 584, 264, 4560, 307, 7699, 23300, 300, 307, 11, 490, 264, 2657, 281, 264, 6765, 307, 7699, 23300, 321, 528, 281, 8873, 264, 1306, 15260, 437, 307, 264, 1306, 15260, 295, 1442, 412, 264, 3753, 295, 264, 6765, 412, 264, 3753, 295, 264, 6765, 11, 321, 584, 382, 10002, 264, 1306, 15260, 6915], "avg_logprob": -0.48258929550647733, "compression_ratio": 2.1161290322580646, "no_speech_prob": 3.2186508178710938e-06, "words": [{"start": 359.45, "end": 359.67, "word": "or", "probability": 0.467529296875}, {"start": 359.67, "end": 359.89, "word": " let's", "probability": 0.71484375}, {"start": 359.89, "end": 360.05, "word": " say", "probability": 0.888671875}, {"start": 360.05, "end": 360.25, "word": " without", "probability": 0.267822265625}, {"start": 360.25, "end": 360.39, "word": " using", "probability": 0.06640625}, {"start": 360.39, "end": 360.59, "word": " a", "probability": 0.34521484375}, {"start": 360.59, "end": 360.59, "word": " triangle,", "probability": 0.0496826171875}, {"start": 361.01, "end": 361.01, "word": " let's", "probability": 0.6002197265625}, {"start": 361.01, "end": 361.21, "word": " say", "probability": 0.74169921875}, {"start": 361.21, "end": 362.11, "word": " twenty", "probability": 0.315185546875}, {"start": 362.11, "end": 362.55, "word": " centimeters", "probability": 0.74951171875}, {"start": 362.55, "end": 363.29, "word": " let's", "probability": 0.6246337890625}, {"start": 363.29, "end": 363.49, "word": " say", "probability": 0.2059326171875}, {"start": 363.49, "end": 363.65, "word": " the", "probability": 0.611328125}, {"start": 363.65, "end": 363.97, "word": " distance", "probability": 0.83349609375}, {"start": 363.97, "end": 366.35, "word": " is", "probability": 0.6748046875}, {"start": 366.35, "end": 366.97, "word": " twenty", "probability": 0.75}, {"start": 366.97, "end": 367.45, "word": " centimeters", "probability": 0.9091796875}, {"start": 367.45, "end": 368.05, "word": " that", "probability": 0.11602783203125}, {"start": 368.05, "end": 368.11, "word": " is,", "probability": 0.72998046875}, {"start": 368.17, "end": 368.27, "word": " from", "probability": 0.8525390625}, {"start": 368.27, "end": 368.43, "word": " the", "probability": 0.88134765625}, {"start": 368.43, "end": 369.03, "word": " object", "probability": 0.96875}, {"start": 369.03, "end": 369.99, "word": " to", "probability": 0.87255859375}, {"start": 369.99, "end": 370.27, "word": " the", "probability": 0.89111328125}, {"start": 370.27, "end": 370.67, "word": " lens", "probability": 0.74951171875}, {"start": 370.67, "end": 371.05, "word": " is", "probability": 0.73291015625}, {"start": 371.05, "end": 371.39, "word": " twenty", "probability": 0.83447265625}, {"start": 371.39, "end": 371.81, "word": " centimeters", "probability": 0.90869140625}, {"start": 371.81, "end": 372.21, "word": " we", "probability": 0.62255859375}, {"start": 372.21, "end": 372.37, "word": " want", "probability": 0.2822265625}, {"start": 372.37, "end": 372.51, "word": " to", "probability": 0.974609375}, {"start": 372.51, "end": 372.79, "word": " calculate", "probability": 0.85595703125}, {"start": 372.79, "end": 373.03, "word": " the", "probability": 0.81396484375}, {"start": 373.03, "end": 373.51, "word": " vergence", "probability": 0.65966796875}, {"start": 373.51, "end": 373.87, "word": " what", "probability": 0.438232421875}, {"start": 373.87, "end": 374.25, "word": " is", "probability": 0.94873046875}, {"start": 374.25, "end": 374.49, "word": " the", "probability": 0.9267578125}, {"start": 374.49, "end": 374.89, "word": " vergence", "probability": 0.937255859375}, {"start": 374.89, "end": 375.21, "word": " of", "probability": 0.97509765625}, {"start": 375.21, "end": 375.67, "word": " light", "probability": 0.89453125}, {"start": 375.67, "end": 376.33, "word": " at", "probability": 0.6201171875}, {"start": 376.33, "end": 376.51, "word": " the", "probability": 0.9150390625}, {"start": 376.51, "end": 376.73, "word": " surface", "probability": 0.3896484375}, {"start": 376.73, "end": 376.85, "word": " of", "probability": 0.97265625}, {"start": 376.85, "end": 376.97, "word": " the", "probability": 0.91748046875}, {"start": 376.97, "end": 377.27, "word": " lens", "probability": 0.85546875}, {"start": 377.27, "end": 377.51, "word": " at", "probability": 0.51171875}, {"start": 377.51, "end": 377.71, "word": " the", "probability": 0.9267578125}, {"start": 377.71, "end": 377.87, "word": " surface", "probability": 0.67138671875}, {"start": 377.87, "end": 377.99, "word": " of", "probability": 0.96923828125}, {"start": 377.99, "end": 378.07, "word": " the", "probability": 0.9248046875}, {"start": 378.07, "end": 378.29, "word": " lens,", "probability": 0.90478515625}, {"start": 378.37, "end": 378.49, "word": " we", "probability": 0.51025390625}, {"start": 378.49, "end": 378.71, "word": " say", "probability": 0.7900390625}, {"start": 378.71, "end": 378.93, "word": " as", "probability": 0.8310546875}, {"start": 378.93, "end": 379.33, "word": " follows", "probability": 0.85302734375}, {"start": 379.33, "end": 382.99, "word": " the", "probability": 0.64306640625}, {"start": 382.99, "end": 383.63, "word": " vergence", "probability": 0.93798828125}, {"start": 383.63, "end": 385.83, "word": " equals", "probability": 0.62548828125}], "temperature": 1.0}, {"id": 17, "seek": 40121, "start": 387.53, "end": 401.21, "text": "one over the distance, the object distance over the distance or between two objects I can say over O, why O? No, why O? Because", "tokens": [546, 670, 264, 4560, 11, 264, 2657, 4560, 670, 264, 4560, 420, 1296, 732, 6565, 286, 393, 584, 670, 422, 11, 983, 422, 30, 883, 11, 983, 422, 30, 1436], "avg_logprob": -0.4450604704118544, "compression_ratio": 1.4269662921348314, "no_speech_prob": 1.7762184143066406e-05, "words": [{"start": 387.53000000000003, "end": 388.17, "word": "one", "probability": 0.6669921875}, {"start": 388.17, "end": 388.81, "word": " over", "probability": 0.61669921875}, {"start": 388.81, "end": 389.23, "word": " the", "probability": 0.54833984375}, {"start": 389.23, "end": 389.77, "word": " distance,", "probability": 0.849609375}, {"start": 389.85, "end": 389.95, "word": " the", "probability": 0.50341796875}, {"start": 389.95, "end": 390.23, "word": " object", "probability": 0.9189453125}, {"start": 390.23, "end": 390.91, "word": " distance", "probability": 0.91748046875}, {"start": 390.91, "end": 391.81, "word": " over", "probability": 0.5234375}, {"start": 391.81, "end": 391.95, "word": " the", "probability": 0.81201171875}, {"start": 391.95, "end": 392.49, "word": " distance", "probability": 0.93701171875}, {"start": 392.49, "end": 395.53, "word": " or", "probability": 0.47119140625}, {"start": 395.53, "end": 396.13, "word": " between", "probability": 0.2320556640625}, {"start": 396.13, "end": 396.45, "word": " two", "probability": 0.61572265625}, {"start": 396.45, "end": 396.45, "word": " objects", "probability": 0.6103515625}, {"start": 396.45, "end": 396.63, "word": " I", "probability": 0.6181640625}, {"start": 396.63, "end": 396.73, "word": " can", "probability": 0.5986328125}, {"start": 396.73, "end": 396.81, "word": " say", "probability": 0.81640625}, {"start": 396.81, "end": 397.05, "word": " over", "probability": 0.765625}, {"start": 397.05, "end": 397.29, "word": " O,", "probability": 0.75634765625}, {"start": 397.63, "end": 397.89, "word": " why", "probability": 0.86181640625}, {"start": 397.89, "end": 398.21, "word": " O?", "probability": 0.919921875}, {"start": 399.49, "end": 399.77, "word": " No,", "probability": 0.30810546875}, {"start": 400.17, "end": 400.51, "word": " why", "probability": 0.83544921875}, {"start": 400.51, "end": 400.83, "word": " O?", "probability": 0.92578125}, {"start": 400.93, "end": 401.21, "word": " Because", "probability": 0.7861328125}], "temperature": 1.0}, {"id": 18, "seek": 41792, "start": 402.5, "end": 417.92, "text": "المسافة اللى بدنا نحسب عندها هذه المسافة هي ال object ال object point وهى سطح العدسة بدنا نحسب ال divergence بتاع الدوء لما وصل لسطح العدسة يعنى جاطع من مسافة ال object ال object distance يعني واحد على اول ويساوي", "tokens": [6027, 2304, 3794, 31845, 3660, 13672, 7578, 47525, 8315, 8717, 5016, 35457, 43242, 11296, 29538, 9673, 3794, 31845, 3660, 39896, 2423, 2657, 2423, 2657, 935, 37037, 7578, 8608, 9566, 5016, 18863, 3215, 3794, 3660, 47525, 8315, 8717, 5016, 35457, 2423, 47387, 39894, 45761, 32748, 2407, 38207, 5296, 15042, 4032, 36520, 5296, 3794, 9566, 5016, 18863, 3215, 3794, 3660, 37495, 1863, 7578, 10874, 41193, 3615, 9154, 47524, 31845, 3660, 2423, 2657, 2423, 2657, 4560, 37495, 22653, 36764, 24401, 15844, 1975, 12610, 4032, 1829, 3794, 995, 45865], "avg_logprob": -0.1927688995073008, "compression_ratio": 1.827027027027027, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 402.5, "end": 403.18, "word": "المسافة", "probability": 0.7777587890625}, {"start": 403.18, "end": 403.26, "word": " اللى", "probability": 0.80419921875}, {"start": 403.26, "end": 403.42, "word": " بدنا", "probability": 0.702880859375}, {"start": 403.42, "end": 403.7, "word": " نحسب", "probability": 0.9855143229166666}, {"start": 403.7, "end": 404.18, "word": " عندها", "probability": 0.988037109375}, {"start": 404.18, "end": 404.48, "word": " هذه", "probability": 0.42626953125}, {"start": 404.48, "end": 405.06, "word": " المسافة", "probability": 0.9718017578125}, {"start": 405.06, "end": 405.2, "word": " هي", "probability": 0.69873046875}, {"start": 405.2, "end": 405.34, "word": " ال", "probability": 0.9267578125}, {"start": 405.34, "end": 405.78, "word": " object", "probability": 0.96533203125}, {"start": 405.78, "end": 406.24, "word": " ال", "probability": 0.47216796875}, {"start": 406.24, "end": 406.54, "word": " object", "probability": 0.8857421875}, {"start": 406.54, "end": 407.0, "word": " point", "probability": 0.990234375}, {"start": 407.0, "end": 407.78, "word": " وهى", "probability": 0.708251953125}, {"start": 407.78, "end": 408.16, "word": " سطح", "probability": 0.9783528645833334}, {"start": 408.16, "end": 408.72, "word": " العدسة", "probability": 0.9716796875}, {"start": 408.72, "end": 409.22, "word": " بدنا", "probability": 0.845703125}, {"start": 409.22, "end": 409.66, "word": " نحسب", "probability": 0.9964192708333334}, {"start": 409.66, "end": 410.18, "word": " ال", "probability": 0.97509765625}, {"start": 410.18, "end": 410.64, "word": " divergence", "probability": 0.117431640625}, {"start": 410.64, "end": 410.96, "word": " بتاع", "probability": 0.8251953125}, {"start": 410.96, "end": 411.3, "word": " الدوء", "probability": 0.6171875}, {"start": 411.3, "end": 411.66, "word": " لما", "probability": 0.895263671875}, {"start": 411.66, "end": 411.96, "word": " وصل", "probability": 0.973876953125}, {"start": 411.96, "end": 412.4, "word": " لسطح", "probability": 0.9744873046875}, {"start": 412.4, "end": 412.92, "word": " العدسة", "probability": 0.9888916015625}, {"start": 412.92, "end": 413.18, "word": " يعنى", "probability": 0.798828125}, {"start": 413.18, "end": 413.54, "word": " جاطع", "probability": 0.8128255208333334}, {"start": 413.54, "end": 413.68, "word": " من", "probability": 0.9052734375}, {"start": 413.68, "end": 414.24, "word": " مسافة", "probability": 0.9912109375}, {"start": 414.24, "end": 414.38, "word": " ال", "probability": 0.9931640625}, {"start": 414.38, "end": 414.76, "word": " object", "probability": 0.98974609375}, {"start": 414.76, "end": 414.92, "word": " ال", "probability": 0.693359375}, {"start": 414.92, "end": 415.22, "word": " object", "probability": 0.974609375}, {"start": 415.22, "end": 415.76, "word": " distance", "probability": 0.97021484375}, {"start": 415.76, "end": 416.34, "word": " يعني", "probability": 0.82861328125}, {"start": 416.34, "end": 416.7, "word": " واحد", "probability": 0.97119140625}, {"start": 416.7, "end": 416.88, "word": " على", "probability": 0.82763671875}, {"start": 416.88, "end": 417.12, "word": " اول", "probability": 0.734375}, {"start": 417.12, "end": 417.92, "word": " ويساوي", "probability": 0.85}], "temperature": 1.0}, {"id": 19, "seek": 44756, "start": 419.48, "end": 447.56, "text": "one over of course here must must not forget the sign because it is a divergent line must put minus and minus one because it is divergent of course over the distance twenty centimeters must turn into a meter two out of ten meters and is equal to one over two out of ten and is equal to minus five meters minus one meters minus", "tokens": [546, 670, 295, 1164, 510, 1633, 1633, 406, 2870, 264, 1465, 570, 309, 307, 257, 18558, 6930, 1622, 1633, 829, 3175, 293, 3175, 472, 570, 309, 307, 18558, 6930, 295, 1164, 670, 264, 4560, 7699, 23300, 1633, 1261, 666, 257, 9255, 732, 484, 295, 2064, 8146, 293, 307, 2681, 281, 472, 670, 732, 484, 295, 2064, 293, 307, 2681, 281, 3175, 1732, 8146, 3175, 472, 8146, 3175], "avg_logprob": -0.46369486608925986, "compression_ratio": 2.0764331210191083, "no_speech_prob": 5.835294723510742e-05, "words": [{"start": 419.47999999999996, "end": 420.15999999999997, "word": "one", "probability": 0.41943359375}, {"start": 420.15999999999997, "end": 420.84, "word": " over", "probability": 0.36181640625}, {"start": 420.84, "end": 421.54, "word": " of", "probability": 0.15185546875}, {"start": 421.54, "end": 421.58, "word": " course", "probability": 0.9130859375}, {"start": 421.58, "end": 421.8, "word": " here", "probability": 0.43896484375}, {"start": 421.8, "end": 422.76, "word": " must", "probability": 0.2113037109375}, {"start": 422.76, "end": 423.3, "word": " must", "probability": 0.517578125}, {"start": 423.3, "end": 423.48, "word": " not", "probability": 0.5673828125}, {"start": 423.48, "end": 423.74, "word": " forget", "probability": 0.86279296875}, {"start": 423.74, "end": 423.94, "word": " the", "probability": 0.78662109375}, {"start": 423.94, "end": 424.22, "word": " sign", "probability": 0.38427734375}, {"start": 424.22, "end": 424.48, "word": " because", "probability": 0.73095703125}, {"start": 424.48, "end": 424.68, "word": " it", "probability": 0.46044921875}, {"start": 424.68, "end": 424.74, "word": " is", "probability": 0.6787109375}, {"start": 424.74, "end": 424.8, "word": " a", "probability": 0.47802734375}, {"start": 424.8, "end": 425.3, "word": " divergent", "probability": 0.810302734375}, {"start": 425.3, "end": 425.58, "word": " line", "probability": 0.552734375}, {"start": 425.58, "end": 425.9, "word": " must", "probability": 0.306396484375}, {"start": 425.9, "end": 426.26, "word": " put", "probability": 0.5029296875}, {"start": 426.26, "end": 427.16, "word": " minus", "probability": 0.6591796875}, {"start": 427.16, "end": 427.66, "word": " and", "probability": 0.416015625}, {"start": 427.66, "end": 428.16, "word": " minus", "probability": 0.89794921875}, {"start": 428.16, "end": 428.64, "word": " one", "probability": 0.865234375}, {"start": 428.64, "end": 429.08, "word": " because", "probability": 0.7666015625}, {"start": 429.08, "end": 429.26, "word": " it", "probability": 0.8212890625}, {"start": 429.26, "end": 429.26, "word": " is", "probability": 0.90771484375}, {"start": 429.26, "end": 429.74, "word": " divergent", "probability": 0.64599609375}, {"start": 429.74, "end": 430.0, "word": " of", "probability": 0.59130859375}, {"start": 430.0, "end": 430.12, "word": " course", "probability": 0.95703125}, {"start": 430.12, "end": 430.78, "word": " over", "probability": 0.61962890625}, {"start": 430.78, "end": 431.24, "word": " the", "probability": 0.50244140625}, {"start": 431.24, "end": 431.56, "word": " distance", "probability": 0.767578125}, {"start": 431.56, "end": 431.98, "word": " twenty", "probability": 0.421875}, {"start": 431.98, "end": 432.34, "word": " centimeters", "probability": 0.84716796875}, {"start": 432.34, "end": 432.66, "word": " must", "probability": 0.77734375}, {"start": 432.66, "end": 433.12, "word": " turn", "probability": 0.39208984375}, {"start": 433.12, "end": 433.34, "word": " into", "probability": 0.61181640625}, {"start": 433.34, "end": 433.4, "word": " a", "probability": 0.458984375}, {"start": 433.4, "end": 433.68, "word": " meter", "probability": 0.93701171875}, {"start": 433.68, "end": 434.68, "word": " two", "probability": 0.77099609375}, {"start": 434.68, "end": 435.04, "word": " out", "probability": 0.361572265625}, {"start": 435.04, "end": 435.04, "word": " of", "probability": 0.974609375}, {"start": 435.04, "end": 435.46, "word": " ten", "probability": 0.89990234375}, {"start": 435.46, "end": 436.12, "word": " meters", "probability": 0.83837890625}, {"start": 436.12, "end": 437.24, "word": " and", "probability": 0.6484375}, {"start": 437.24, "end": 437.38, "word": " is", "probability": 0.239013671875}, {"start": 437.38, "end": 437.76, "word": " equal", "probability": 0.857421875}, {"start": 437.76, "end": 439.72, "word": " to", "probability": 0.779296875}, {"start": 439.72, "end": 439.98, "word": " one", "probability": 0.88525390625}, {"start": 439.98, "end": 440.24, "word": " over", "probability": 0.744140625}, {"start": 440.24, "end": 440.5, "word": " two", "probability": 0.9384765625}, {"start": 440.5, "end": 440.7, "word": " out", "probability": 0.446044921875}, {"start": 440.7, "end": 440.7, "word": " of", "probability": 0.97216796875}, {"start": 440.7, "end": 440.94, "word": " ten", "probability": 0.90771484375}, {"start": 440.94, "end": 441.1, "word": " and", "probability": 0.59423828125}, {"start": 441.1, "end": 441.18, "word": " is", "probability": 0.62060546875}, {"start": 441.18, "end": 441.44, "word": " equal", "probability": 0.88671875}, {"start": 441.44, "end": 441.7, "word": " to", "probability": 0.95849609375}, {"start": 441.7, "end": 442.3, "word": " minus", "probability": 0.8876953125}, {"start": 442.3, "end": 444.08, "word": " five", "probability": 0.873046875}, {"start": 444.08, "end": 445.72, "word": " meters", "probability": 0.541015625}, {"start": 445.72, "end": 446.1, "word": " minus", "probability": 0.77783203125}, {"start": 446.1, "end": 446.88, "word": " one", "probability": 0.90087890625}, {"start": 446.88, "end": 447.3, "word": " meters", "probability": 0.60595703125}, {"start": 447.3, "end": 447.56, "word": " minus", "probability": 0.9501953125}], "temperature": 1.0}, {"id": 20, "seek": 48152, "start": 456.16, "end": 481.52, "text": "meteros minus one Okay, so I can calculate the vergence of the light at any point away from the object I calculate one away from the object Even if we reach the surface of the mirror And I can calculate the vergence of the light that is going to form the image at any distance Of course, I calculate the distance of this distance from the image I can calculate at this distance", "tokens": [33058, 329, 3175, 472, 1033, 11, 370, 286, 393, 8873, 264, 1306, 15260, 295, 264, 1442, 412, 604, 935, 1314, 490, 264, 2657, 286, 8873, 472, 1314, 490, 264, 2657, 2754, 498, 321, 2524, 264, 3753, 295, 264, 8013, 400, 286, 393, 8873, 264, 1306, 15260, 295, 264, 1442, 300, 307, 516, 281, 1254, 264, 3256, 412, 604, 4560, 2720, 1164, 11, 286, 8873, 264, 4560, 295, 341, 4560, 490, 264, 3256, 286, 393, 8873, 412, 341, 4560], "avg_logprob": -0.36708861513982843, "compression_ratio": 2.0828729281767955, "no_speech_prob": 5.537271499633789e-05, "words": [{"start": 456.16, "end": 456.72, "word": "meteros", "probability": 0.3074951171875}, {"start": 456.72, "end": 456.96, "word": " minus", "probability": 0.6328125}, {"start": 456.96, "end": 457.32, "word": " one", "probability": 0.6806640625}, {"start": 457.32, "end": 457.92, "word": " Okay,", "probability": 0.07659912109375}, {"start": 458.42, "end": 458.74, "word": " so", "probability": 0.469482421875}, {"start": 458.74, "end": 459.04, "word": " I", "probability": 0.89501953125}, {"start": 459.04, "end": 459.42, "word": " can", "probability": 0.8828125}, {"start": 459.42, "end": 459.92, "word": " calculate", "probability": 0.79736328125}, {"start": 459.92, "end": 460.36, "word": " the", "probability": 0.80517578125}, {"start": 460.36, "end": 460.82, "word": " vergence", "probability": 0.60223388671875}, {"start": 460.82, "end": 461.04, "word": " of", "probability": 0.90576171875}, {"start": 461.04, "end": 461.24, "word": " the", "probability": 0.515625}, {"start": 461.24, "end": 461.54, "word": " light", "probability": 0.875}, {"start": 461.54, "end": 461.9, "word": " at", "probability": 0.71484375}, {"start": 461.9, "end": 462.34, "word": " any", "probability": 0.91162109375}, {"start": 462.34, "end": 462.78, "word": " point", "probability": 0.91064453125}, {"start": 462.78, "end": 463.0, "word": " away", "probability": 0.65283203125}, {"start": 463.0, "end": 463.3, "word": " from", "probability": 0.88671875}, {"start": 463.3, "end": 463.42, "word": " the", "probability": 0.91015625}, {"start": 463.42, "end": 463.86, "word": " object", "probability": 0.96826171875}, {"start": 463.86, "end": 464.26, "word": " I", "probability": 0.6787109375}, {"start": 464.26, "end": 464.5, "word": " calculate", "probability": 0.81494140625}, {"start": 464.5, "end": 464.88, "word": " one", "probability": 0.69287109375}, {"start": 464.88, "end": 465.16, "word": " away", "probability": 0.28173828125}, {"start": 465.16, "end": 465.7, "word": " from", "probability": 0.87451171875}, {"start": 465.7, "end": 465.88, "word": " the", "probability": 0.90673828125}, {"start": 465.88, "end": 466.26, "word": " object", "probability": 0.97119140625}, {"start": 466.26, "end": 467.4, "word": " Even", "probability": 0.356201171875}, {"start": 467.4, "end": 467.64, "word": " if", "probability": 0.900390625}, {"start": 467.64, "end": 468.04, "word": " we", "probability": 0.80908203125}, {"start": 468.04, "end": 468.04, "word": " reach", "probability": 0.37353515625}, {"start": 468.04, "end": 468.22, "word": " the", "probability": 0.84326171875}, {"start": 468.22, "end": 468.36, "word": " surface", "probability": 0.2001953125}, {"start": 468.36, "end": 468.52, "word": " of", "probability": 0.953125}, {"start": 468.52, "end": 468.52, "word": " the", "probability": 0.912109375}, {"start": 468.52, "end": 468.72, "word": " mirror", "probability": 0.56884765625}, {"start": 468.72, "end": 469.02, "word": " And", "probability": 0.6298828125}, {"start": 469.02, "end": 469.26, "word": " I", "probability": 0.97802734375}, {"start": 469.26, "end": 469.42, "word": " can", "probability": 0.935546875}, {"start": 469.42, "end": 469.76, "word": " calculate", "probability": 0.912109375}, {"start": 469.76, "end": 470.0, "word": " the", "probability": 0.9150390625}, {"start": 470.0, "end": 470.58, "word": " vergence", "probability": 0.92236328125}, {"start": 470.58, "end": 471.3, "word": " of", "probability": 0.4150390625}, {"start": 471.3, "end": 471.6, "word": " the", "probability": 0.80859375}, {"start": 471.6, "end": 471.96, "word": " light", "probability": 0.83642578125}, {"start": 471.96, "end": 472.24, "word": " that", "probability": 0.5234375}, {"start": 472.24, "end": 472.4, "word": " is", "probability": 0.61328125}, {"start": 472.4, "end": 472.68, "word": " going", "probability": 0.90380859375}, {"start": 472.68, "end": 473.44, "word": " to", "probability": 0.95947265625}, {"start": 473.44, "end": 473.74, "word": " form", "probability": 0.71533203125}, {"start": 473.74, "end": 473.96, "word": " the", "probability": 0.89208984375}, {"start": 473.96, "end": 474.28, "word": " image", "probability": 0.90625}, {"start": 474.28, "end": 474.56, "word": " at", "probability": 0.8408203125}, {"start": 474.56, "end": 474.86, "word": " any", "probability": 0.89990234375}, {"start": 474.86, "end": 475.34, "word": " distance", "probability": 0.92236328125}, {"start": 475.34, "end": 475.64, "word": " Of", "probability": 0.61328125}, {"start": 475.64, "end": 475.78, "word": " course,", "probability": 0.9560546875}, {"start": 475.86, "end": 475.98, "word": " I", "probability": 0.96826171875}, {"start": 475.98, "end": 476.18, "word": " calculate", "probability": 0.9345703125}, {"start": 476.18, "end": 476.32, "word": " the", "probability": 0.79931640625}, {"start": 476.32, "end": 476.46, "word": " distance", "probability": 0.91455078125}, {"start": 476.46, "end": 476.58, "word": " of", "probability": 0.67578125}, {"start": 476.58, "end": 476.7, "word": " this", "probability": 0.87451171875}, {"start": 476.7, "end": 477.22, "word": " distance", "probability": 0.92138671875}, {"start": 477.22, "end": 477.6, "word": " from", "probability": 0.8583984375}, {"start": 477.6, "end": 477.86, "word": " the", "probability": 0.9150390625}, {"start": 477.86, "end": 478.1, "word": " image", "probability": 0.9013671875}, {"start": 478.1, "end": 478.72, "word": " I", "probability": 0.273193359375}, {"start": 478.72, "end": 479.42, "word": " can", "probability": 0.697265625}, {"start": 479.42, "end": 479.92, "word": " calculate", "probability": 0.9052734375}, {"start": 479.92, "end": 481.02, "word": " at", "probability": 0.33544921875}, {"start": 481.02, "end": 481.14, "word": " this", "probability": 0.385009765625}, {"start": 481.14, "end": 481.52, "word": " distance", "probability": 0.9521484375}], "temperature": 1.0}, {"id": 21, "seek": 51133, "start": 486.11, "end": 511.33, "text": "or the distance is high or at the distance is high So how do I calculate the inverse of the distance, one over the distance? So the complex case of light, whether negative or positive, that is, whether divergent or convergent is calculated by the heart of the distance away from the object or the heart of the distance away from the image Now the scientists", "tokens": [284, 264, 4560, 307, 1090, 420, 412, 264, 4560, 307, 1090, 407, 577, 360, 286, 8873, 264, 17340, 295, 264, 4560, 11, 472, 670, 264, 4560, 30, 407, 264, 3997, 1389, 295, 1442, 11, 1968, 3671, 420, 3353, 11, 300, 307, 11, 1968, 18558, 6930, 420, 9652, 6930, 307, 15598, 538, 264, 1917, 295, 264, 4560, 1314, 490, 264, 2657, 420, 264, 1917, 295, 264, 4560, 1314, 490, 264, 3256, 823, 264, 7708], "avg_logprob": -0.42863176803331116, "compression_ratio": 2.028409090909091, "no_speech_prob": 2.9206275939941406e-06, "words": [{"start": 486.11, "end": 486.69, "word": "or", "probability": 0.60009765625}, {"start": 486.69, "end": 487.27, "word": " the", "probability": 0.307373046875}, {"start": 487.27, "end": 487.63, "word": " distance", "probability": 0.88330078125}, {"start": 487.63, "end": 487.79, "word": " is", "probability": 0.71533203125}, {"start": 487.79, "end": 488.07, "word": " high", "probability": 0.8427734375}, {"start": 488.07, "end": 489.37, "word": " or", "probability": 0.60546875}, {"start": 489.37, "end": 489.69, "word": " at", "probability": 0.196044921875}, {"start": 489.69, "end": 489.81, "word": " the", "probability": 0.4697265625}, {"start": 489.81, "end": 490.11, "word": " distance", "probability": 0.92919921875}, {"start": 490.11, "end": 490.29, "word": " is", "probability": 0.7607421875}, {"start": 490.29, "end": 490.67, "word": " high", "probability": 0.8935546875}, {"start": 490.67, "end": 491.65, "word": " So", "probability": 0.1949462890625}, {"start": 491.65, "end": 491.83, "word": " how", "probability": 0.73095703125}, {"start": 491.83, "end": 491.89, "word": " do", "probability": 0.5986328125}, {"start": 491.89, "end": 491.99, "word": " I", "probability": 0.919921875}, {"start": 491.99, "end": 492.21, "word": " calculate", "probability": 0.83642578125}, {"start": 492.21, "end": 493.11, "word": " the", "probability": 0.7861328125}, {"start": 493.11, "end": 493.43, "word": " inverse", "probability": 0.26416015625}, {"start": 493.43, "end": 493.57, "word": " of", "probability": 0.88134765625}, {"start": 493.57, "end": 493.65, "word": " the", "probability": 0.473876953125}, {"start": 493.65, "end": 493.95, "word": " distance,", "probability": 0.951171875}, {"start": 494.07, "end": 494.33, "word": " one", "probability": 0.6865234375}, {"start": 494.33, "end": 494.77, "word": " over", "probability": 0.79248046875}, {"start": 494.77, "end": 495.05, "word": " the", "probability": 0.8388671875}, {"start": 495.05, "end": 495.33, "word": " distance?", "probability": 0.9365234375}, {"start": 495.79, "end": 496.07, "word": " So", "probability": 0.7666015625}, {"start": 496.07, "end": 496.35, "word": " the", "probability": 0.6162109375}, {"start": 496.35, "end": 496.99, "word": " complex", "probability": 0.0258331298828125}, {"start": 496.99, "end": 497.31, "word": " case", "probability": 0.476806640625}, {"start": 497.31, "end": 497.51, "word": " of", "probability": 0.744140625}, {"start": 497.51, "end": 497.83, "word": " light,", "probability": 0.67041015625}, {"start": 498.17, "end": 498.41, "word": " whether", "probability": 0.462158203125}, {"start": 498.41, "end": 498.85, "word": " negative", "probability": 0.82373046875}, {"start": 498.85, "end": 499.21, "word": " or", "probability": 0.96484375}, {"start": 499.21, "end": 499.61, "word": " positive,", "probability": 0.9326171875}, {"start": 499.79, "end": 499.83, "word": " that", "probability": 0.2259521484375}, {"start": 499.83, "end": 499.89, "word": " is,", "probability": 0.908203125}, {"start": 499.99, "end": 500.13, "word": " whether", "probability": 0.630859375}, {"start": 500.13, "end": 500.85, "word": " divergent", "probability": 0.84033203125}, {"start": 500.85, "end": 501.09, "word": " or", "probability": 0.97119140625}, {"start": 501.09, "end": 501.95, "word": " convergent", "probability": 0.9775390625}, {"start": 501.95, "end": 503.19, "word": " is", "probability": 0.27197265625}, {"start": 503.19, "end": 503.67, "word": " calculated", "probability": 0.92041015625}, {"start": 503.67, "end": 504.47, "word": " by", "probability": 0.8271484375}, {"start": 504.47, "end": 505.05, "word": " the", "probability": 0.4013671875}, {"start": 505.05, "end": 505.21, "word": " heart", "probability": 0.599609375}, {"start": 505.21, "end": 505.37, "word": " of", "probability": 0.880859375}, {"start": 505.37, "end": 505.45, "word": " the", "probability": 0.880859375}, {"start": 505.45, "end": 505.95, "word": " distance", "probability": 0.91845703125}, {"start": 505.95, "end": 506.61, "word": " away", "probability": 0.88427734375}, {"start": 506.61, "end": 506.95, "word": " from", "probability": 0.88818359375}, {"start": 506.95, "end": 507.09, "word": " the", "probability": 0.92529296875}, {"start": 507.09, "end": 507.47, "word": " object", "probability": 0.97900390625}, {"start": 507.47, "end": 507.71, "word": " or", "probability": 0.83837890625}, {"start": 507.71, "end": 507.93, "word": " the", "probability": 0.77978515625}, {"start": 507.93, "end": 507.93, "word": " heart", "probability": 0.88916015625}, {"start": 507.93, "end": 508.07, "word": " of", "probability": 0.94775390625}, {"start": 508.07, "end": 508.13, "word": " the", "probability": 0.91162109375}, {"start": 508.13, "end": 508.49, "word": " distance", "probability": 0.9423828125}, {"start": 508.49, "end": 508.83, "word": " away", "probability": 0.87646484375}, {"start": 508.83, "end": 509.31, "word": " from", "probability": 0.89013671875}, {"start": 509.31, "end": 510.05, "word": " the", "probability": 0.92236328125}, {"start": 510.05, "end": 510.33, "word": " image", "probability": 0.8974609375}, {"start": 510.33, "end": 510.95, "word": " Now", "probability": 0.69677734375}, {"start": 510.95, "end": 511.09, "word": " the", "probability": 0.355224609375}, {"start": 511.09, "end": 511.33, "word": " scientists", "probability": 0.7880859375}], "temperature": 1.0}, {"id": 22, "seek": 53848, "start": 514.88, "end": 538.48, "text": "It's a matter of meter squared minus one, it's a long word, meter squared minus one is a long word, so they got to know that the meter squared minus one, we want to call it the diopter, so here I have minus half meter squared minus one, which means minus half diopter", "tokens": [3522, 311, 257, 1871, 295, 9255, 8889, 3175, 472, 11, 309, 311, 257, 938, 1349, 11, 9255, 8889, 3175, 472, 307, 257, 938, 1349, 11, 370, 436, 658, 281, 458, 300, 264, 9255, 8889, 3175, 472, 11, 321, 528, 281, 818, 309, 264, 1026, 404, 391, 11, 370, 510, 286, 362, 3175, 1922, 9255, 8889, 3175, 472, 11, 597, 1355, 3175, 1922, 1026, 404, 391], "avg_logprob": -0.5137310831835775, "compression_ratio": 2.022727272727273, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 514.8800000000001, "end": 515.44, "word": "It's", "probability": 0.3626708984375}, {"start": 515.44, "end": 515.44, "word": " a", "probability": 0.26025390625}, {"start": 515.44, "end": 515.44, "word": " matter", "probability": 0.305419921875}, {"start": 515.44, "end": 515.56, "word": " of", "probability": 0.96240234375}, {"start": 515.56, "end": 515.84, "word": " meter", "probability": 0.2269287109375}, {"start": 515.84, "end": 516.2, "word": " squared", "probability": 0.242919921875}, {"start": 516.2, "end": 516.58, "word": " minus", "probability": 0.93310546875}, {"start": 516.58, "end": 517.06, "word": " one,", "probability": 0.8525390625}, {"start": 518.1, "end": 519.4, "word": " it's", "probability": 0.6298828125}, {"start": 519.4, "end": 519.6, "word": " a", "probability": 0.8564453125}, {"start": 519.6, "end": 520.32, "word": " long", "probability": 0.791015625}, {"start": 520.32, "end": 520.32, "word": " word,", "probability": 0.857421875}, {"start": 520.94, "end": 521.68, "word": " meter", "probability": 0.71630859375}, {"start": 521.68, "end": 521.94, "word": " squared", "probability": 0.708984375}, {"start": 521.94, "end": 522.26, "word": " minus", "probability": 0.98193359375}, {"start": 522.26, "end": 522.68, "word": " one", "probability": 0.93115234375}, {"start": 522.68, "end": 522.84, "word": " is", "probability": 0.73388671875}, {"start": 522.84, "end": 523.24, "word": " a", "probability": 0.935546875}, {"start": 523.24, "end": 523.36, "word": " long", "probability": 0.9150390625}, {"start": 523.36, "end": 523.36, "word": " word,", "probability": 0.9267578125}, {"start": 523.96, "end": 524.08, "word": " so", "probability": 0.7353515625}, {"start": 524.08, "end": 524.52, "word": " they", "probability": 0.2783203125}, {"start": 524.52, "end": 524.52, "word": " got", "probability": 0.1324462890625}, {"start": 524.52, "end": 524.54, "word": " to", "probability": 0.5673828125}, {"start": 524.54, "end": 524.82, "word": " know", "probability": 0.88232421875}, {"start": 524.82, "end": 525.06, "word": " that", "probability": 0.90966796875}, {"start": 525.06, "end": 525.16, "word": " the", "probability": 0.3603515625}, {"start": 525.16, "end": 525.36, "word": " meter", "probability": 0.85986328125}, {"start": 525.36, "end": 525.58, "word": " squared", "probability": 0.73681640625}, {"start": 525.58, "end": 525.88, "word": " minus", "probability": 0.97314453125}, {"start": 525.88, "end": 526.46, "word": " one,", "probability": 0.9296875}, {"start": 526.74, "end": 526.92, "word": " we", "probability": 0.810546875}, {"start": 526.92, "end": 527.08, "word": " want", "probability": 0.27587890625}, {"start": 527.08, "end": 527.24, "word": " to", "probability": 0.96826171875}, {"start": 527.24, "end": 527.48, "word": " call", "probability": 0.783203125}, {"start": 527.48, "end": 527.7, "word": " it", "probability": 0.84423828125}, {"start": 527.7, "end": 527.84, "word": " the", "probability": 0.56298828125}, {"start": 527.84, "end": 528.22, "word": " diopter,", "probability": 0.7880859375}, {"start": 528.32, "end": 528.4, "word": " so", "probability": 0.51220703125}, {"start": 528.4, "end": 528.62, "word": " here", "probability": 0.6689453125}, {"start": 528.62, "end": 528.76, "word": " I", "probability": 0.515625}, {"start": 528.76, "end": 529.14, "word": " have", "probability": 0.48486328125}, {"start": 529.14, "end": 529.6, "word": " minus", "probability": 0.93701171875}, {"start": 529.6, "end": 530.2, "word": " half", "probability": 0.60595703125}, {"start": 530.2, "end": 530.52, "word": " meter", "probability": 0.65283203125}, {"start": 530.52, "end": 530.82, "word": " squared", "probability": 0.62744140625}, {"start": 530.82, "end": 531.06, "word": " minus", "probability": 0.982421875}, {"start": 531.06, "end": 531.48, "word": " one,", "probability": 0.9306640625}, {"start": 531.62, "end": 531.7, "word": " which", "probability": 0.486572265625}, {"start": 531.7, "end": 531.74, "word": " means", "probability": 0.5048828125}, {"start": 531.74, "end": 532.54, "word": " minus", "probability": 0.962890625}, {"start": 532.54, "end": 535.52, "word": " half", "probability": 0.443115234375}, {"start": 535.52, "end": 538.48, "word": " diopter", "probability": 0.7666015625}], "temperature": 1.0}, {"id": 23, "seek": 57187, "start": 542.75, "end": 571.87, "text": "here 2 meters minus 1 which is plus 2 diopters which is equal to plus 2 diopters which is equal to minus 5 meters minus 1 which is equal to minus 5 diopters a person might wonder how the power of the lens can measure the diopters", "tokens": [6703, 568, 8146, 3175, 502, 597, 307, 1804, 568, 1026, 404, 1559, 597, 307, 2681, 281, 1804, 568, 1026, 404, 1559, 597, 307, 2681, 281, 3175, 1025, 8146, 3175, 502, 597, 307, 2681, 281, 3175, 1025, 1026, 404, 1559, 257, 954, 1062, 2441, 577, 264, 1347, 295, 264, 6765, 393, 3481, 264, 1026, 404, 1559], "avg_logprob": -0.485212044524295, "compression_ratio": 1.991304347826087, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 542.75, "end": 543.09, "word": "here", "probability": 0.25390625}, {"start": 543.09, "end": 543.95, "word": " 2", "probability": 0.339599609375}, {"start": 543.95, "end": 544.33, "word": " meters", "probability": 0.2139892578125}, {"start": 544.33, "end": 544.71, "word": " minus", "probability": 0.7880859375}, {"start": 544.71, "end": 545.13, "word": " 1", "probability": 0.771484375}, {"start": 545.13, "end": 545.39, "word": " which", "probability": 0.1771240234375}, {"start": 545.39, "end": 545.45, "word": " is", "probability": 0.4609375}, {"start": 545.45, "end": 545.93, "word": " plus", "probability": 0.78173828125}, {"start": 545.93, "end": 550.87, "word": " 2", "probability": 0.89501953125}, {"start": 550.87, "end": 551.99, "word": " diopters", "probability": 0.693359375}, {"start": 551.99, "end": 552.27, "word": " which", "probability": 0.244384765625}, {"start": 552.27, "end": 553.87, "word": " is", "probability": 0.69970703125}, {"start": 553.87, "end": 553.97, "word": " equal", "probability": 0.5703125}, {"start": 553.97, "end": 554.27, "word": " to", "probability": 0.9541015625}, {"start": 554.27, "end": 555.15, "word": " plus", "probability": 0.841796875}, {"start": 555.15, "end": 555.67, "word": " 2", "probability": 0.96337890625}, {"start": 555.67, "end": 556.39, "word": " diopters", "probability": 0.9254557291666666}, {"start": 556.39, "end": 557.45, "word": " which", "probability": 0.08740234375}, {"start": 557.45, "end": 557.45, "word": " is", "probability": 0.78369140625}, {"start": 557.45, "end": 558.45, "word": " equal", "probability": 0.6728515625}, {"start": 558.45, "end": 558.45, "word": " to", "probability": 0.96826171875}, {"start": 558.45, "end": 558.63, "word": " minus", "probability": 0.63818359375}, {"start": 558.63, "end": 559.95, "word": " 5", "probability": 0.96142578125}, {"start": 559.95, "end": 560.31, "word": " meters", "probability": 0.8486328125}, {"start": 560.31, "end": 560.63, "word": " minus", "probability": 0.943359375}, {"start": 560.63, "end": 561.35, "word": " 1", "probability": 0.76025390625}, {"start": 561.35, "end": 562.25, "word": " which", "probability": 0.7998046875}, {"start": 562.25, "end": 563.39, "word": " is", "probability": 0.9326171875}, {"start": 563.39, "end": 563.73, "word": " equal", "probability": 0.900390625}, {"start": 563.73, "end": 564.07, "word": " to", "probability": 0.970703125}, {"start": 564.07, "end": 564.93, "word": " minus", "probability": 0.9228515625}, {"start": 564.93, "end": 565.73, "word": " 5", "probability": 0.98583984375}, {"start": 565.73, "end": 566.79, "word": " diopters", "probability": 0.9581705729166666}, {"start": 566.79, "end": 567.49, "word": " a", "probability": 0.164306640625}, {"start": 567.49, "end": 567.83, "word": " person", "probability": 0.74951171875}, {"start": 567.83, "end": 567.95, "word": " might", "probability": 0.4189453125}, {"start": 567.95, "end": 568.41, "word": " wonder", "probability": 0.46484375}, {"start": 568.41, "end": 569.17, "word": " how", "probability": 0.393310546875}, {"start": 569.17, "end": 569.89, "word": " the", "probability": 0.33740234375}, {"start": 569.89, "end": 570.15, "word": " power", "probability": 0.249755859375}, {"start": 570.15, "end": 570.33, "word": " of", "probability": 0.9404296875}, {"start": 570.33, "end": 570.39, "word": " the", "probability": 0.693359375}, {"start": 570.39, "end": 570.65, "word": " lens", "probability": 0.5595703125}, {"start": 570.65, "end": 570.91, "word": " can", "probability": 0.249267578125}, {"start": 570.91, "end": 571.15, "word": " measure", "probability": 0.56201171875}, {"start": 571.15, "end": 571.37, "word": " the", "probability": 0.60791015625}, {"start": 571.37, "end": 571.87, "word": " diopters", "probability": 0.7862955729166666}], "temperature": 1.0}, {"id": 24, "seek": 60064, "start": 572.7, "end": 600.64, "text": "and the fluctuating state of the light is measured by the diode. On the contrary, this is very logical because the lens's function is to change the fluctuating state of the light. If we look at this scene, the light before entering the lens was fluctuating, when it came out of the lens it was collected. In other words, the divergence of the light was negative, it became after it came out of the lens, it is the same light that entered the lens that came out of the lens.", "tokens": [474, 264, 23448, 32438, 1785, 295, 264, 1442, 307, 12690, 538, 264, 40787, 13, 1282, 264, 19506, 11, 341, 307, 588, 14978, 570, 264, 6765, 311, 2445, 307, 281, 1319, 264, 23448, 32438, 1785, 295, 264, 1442, 13, 759, 321, 574, 412, 341, 4145, 11, 264, 1442, 949, 11104, 264, 6765, 390, 23448, 32438, 11, 562, 309, 1361, 484, 295, 264, 6765, 309, 390, 1263, 39963, 13, 682, 661, 2283, 11, 264, 47387, 295, 264, 1442, 390, 3671, 11, 309, 3062, 934, 309, 1361, 484, 295, 264, 6765, 11, 309, 307, 264, 912, 1442, 300, 9065, 264, 6765, 300, 1361, 484, 295, 264, 6765, 13], "avg_logprob": -0.4283608622708411, "compression_ratio": 2.0300429184549356, "no_speech_prob": 6.4373016357421875e-06, "words": [{"start": 572.7, "end": 573.0, "word": "and", "probability": 0.359375}, {"start": 573.0, "end": 573.04, "word": " the", "probability": 0.67431640625}, {"start": 573.04, "end": 574.04, "word": " fluctuating", "probability": 0.2950439453125}, {"start": 574.04, "end": 574.04, "word": " state", "probability": 0.55859375}, {"start": 574.04, "end": 574.32, "word": " of", "probability": 0.7001953125}, {"start": 574.32, "end": 574.4, "word": " the", "probability": 0.261474609375}, {"start": 574.4, "end": 574.58, "word": " light", "probability": 0.7939453125}, {"start": 574.58, "end": 574.84, "word": " is", "probability": 0.61767578125}, {"start": 574.84, "end": 575.08, "word": " measured", "probability": 0.2196044921875}, {"start": 575.08, "end": 575.24, "word": " by", "probability": 0.61474609375}, {"start": 575.24, "end": 575.28, "word": " the", "probability": 0.7880859375}, {"start": 575.28, "end": 575.56, "word": " diode.", "probability": 0.56396484375}, {"start": 575.94, "end": 576.04, "word": " On", "probability": 0.2423095703125}, {"start": 576.04, "end": 576.18, "word": " the", "probability": 0.8935546875}, {"start": 576.18, "end": 576.34, "word": " contrary,", "probability": 0.87646484375}, {"start": 576.5, "end": 576.56, "word": " this", "probability": 0.708984375}, {"start": 576.56, "end": 576.9, "word": " is", "probability": 0.446044921875}, {"start": 576.9, "end": 577.04, "word": " very", "probability": 0.5390625}, {"start": 577.04, "end": 577.44, "word": " logical", "probability": 0.75390625}, {"start": 577.44, "end": 578.58, "word": " because", "probability": 0.53271484375}, {"start": 578.58, "end": 578.84, "word": " the", "probability": 0.83251953125}, {"start": 578.84, "end": 579.18, "word": " lens's", "probability": 0.3958740234375}, {"start": 579.18, "end": 579.48, "word": " function", "probability": 0.9072265625}, {"start": 579.48, "end": 579.82, "word": " is", "probability": 0.837890625}, {"start": 579.82, "end": 579.84, "word": " to", "probability": 0.94775390625}, {"start": 579.84, "end": 580.24, "word": " change", "probability": 0.8515625}, {"start": 580.24, "end": 580.48, "word": " the", "probability": 0.89453125}, {"start": 580.48, "end": 581.6, "word": " fluctuating", "probability": 0.934326171875}, {"start": 581.6, "end": 581.66, "word": " state", "probability": 0.935546875}, {"start": 581.66, "end": 581.96, "word": " of", "probability": 0.7626953125}, {"start": 581.96, "end": 582.12, "word": " the", "probability": 0.47509765625}, {"start": 582.12, "end": 582.3, "word": " light.", "probability": 0.88671875}, {"start": 582.8, "end": 583.14, "word": " If", "probability": 0.90185546875}, {"start": 583.14, "end": 583.4, "word": " we", "probability": 0.9306640625}, {"start": 583.4, "end": 583.4, "word": " look", "probability": 0.435302734375}, {"start": 583.4, "end": 583.46, "word": " at", "probability": 0.9326171875}, {"start": 583.46, "end": 583.56, "word": " this", "probability": 0.873046875}, {"start": 583.56, "end": 583.94, "word": " scene,", "probability": 0.257568359375}, {"start": 584.42, "end": 584.6, "word": " the", "probability": 0.7392578125}, {"start": 584.6, "end": 584.78, "word": " light", "probability": 0.865234375}, {"start": 584.78, "end": 585.32, "word": " before", "probability": 0.564453125}, {"start": 585.32, "end": 585.66, "word": " entering", "probability": 0.8017578125}, {"start": 585.66, "end": 585.86, "word": " the", "probability": 0.8681640625}, {"start": 585.86, "end": 586.1, "word": " lens", "probability": 0.84814453125}, {"start": 586.1, "end": 586.42, "word": " was", "probability": 0.80029296875}, {"start": 586.42, "end": 587.12, "word": " fluctuating,", "probability": 0.787109375}, {"start": 587.26, "end": 587.72, "word": " when", "probability": 0.382080078125}, {"start": 587.72, "end": 587.86, "word": " it", "probability": 0.7314453125}, {"start": 587.86, "end": 588.14, "word": " came", "probability": 0.343017578125}, {"start": 588.14, "end": 588.16, "word": " out", "probability": 0.890625}, {"start": 588.16, "end": 588.3, "word": " of", "probability": 0.8623046875}, {"start": 588.3, "end": 588.68, "word": " the", "probability": 0.90283203125}, {"start": 588.68, "end": 588.68, "word": " lens", "probability": 0.91943359375}, {"start": 588.68, "end": 588.88, "word": " it", "probability": 0.50830078125}, {"start": 588.88, "end": 589.06, "word": " was", "probability": 0.859375}, {"start": 589.06, "end": 589.58, "word": " collected.", "probability": 0.51190185546875}, {"start": 590.06, "end": 590.14, "word": " In", "probability": 0.8779296875}, {"start": 590.14, "end": 590.7, "word": " other", "probability": 0.5537109375}, {"start": 590.7, "end": 590.7, "word": " words,", "probability": 0.85009765625}, {"start": 591.0, "end": 591.1, "word": " the", "probability": 0.86962890625}, {"start": 591.1, "end": 591.46, "word": " divergence", "probability": 0.421875}, {"start": 591.46, "end": 591.8, "word": " of", "probability": 0.91796875}, {"start": 591.8, "end": 591.96, "word": " the", "probability": 0.7236328125}, {"start": 591.96, "end": 592.22, "word": " light", "probability": 0.8896484375}, {"start": 592.22, "end": 592.64, "word": " was", "probability": 0.880859375}, {"start": 592.64, "end": 593.56, "word": " negative,", "probability": 0.94140625}, {"start": 594.16, "end": 594.3, "word": " it", "probability": 0.2476806640625}, {"start": 594.3, "end": 594.6, "word": " became", "probability": 0.78076171875}, {"start": 594.6, "end": 594.9, "word": " after", "probability": 0.51220703125}, {"start": 594.9, "end": 595.4, "word": " it", "probability": 0.277587890625}, {"start": 595.4, "end": 595.66, "word": " came", "probability": 0.67529296875}, {"start": 595.66, "end": 595.7, "word": " out", "probability": 0.890625}, {"start": 595.7, "end": 595.82, "word": " of", "probability": 0.93408203125}, {"start": 595.82, "end": 596.14, "word": " the", "probability": 0.92041015625}, {"start": 596.14, "end": 596.14, "word": " lens,", "probability": 0.89794921875}, {"start": 596.24, "end": 596.36, "word": " it", "probability": 0.439697265625}, {"start": 596.36, "end": 596.46, "word": " is", "probability": 0.7158203125}, {"start": 596.46, "end": 596.7, "word": " the", "probability": 0.9208984375}, {"start": 596.7, "end": 596.7, "word": " same", "probability": 0.83203125}, {"start": 596.7, "end": 597.0, "word": " light", "probability": 0.85888671875}, {"start": 597.0, "end": 597.28, "word": " that", "probability": 0.8193359375}, {"start": 597.28, "end": 597.7, "word": " entered", "probability": 0.70263671875}, {"start": 597.7, "end": 597.92, "word": " the", "probability": 0.916015625}, {"start": 597.92, "end": 598.28, "word": " lens", "probability": 0.90966796875}, {"start": 598.28, "end": 599.08, "word": " that", "probability": 0.354248046875}, {"start": 599.08, "end": 599.32, "word": " came", "probability": 0.77392578125}, {"start": 599.32, "end": 599.6, "word": " out", "probability": 0.8896484375}, {"start": 599.6, "end": 599.9, "word": " of", "probability": 0.9462890625}, {"start": 599.9, "end": 600.38, "word": " the", "probability": 0.85205078125}, {"start": 600.38, "end": 600.64, "word": " lens.", "probability": 0.9365234375}], "temperature": 1.0}, {"id": 25, "seek": 63198, "start": 605.26, "end": 631.98, "text": "So, the lens is nothing but a tool .. a tool to change the fluctuating state of light If the light was divergent, that is, negative divergence, it became convergent, that is, positive divergence It can sometimes be negative, of course, as long as it comes from a real object, it must be negative, okay? That is, divergent, and make it parallel In other words, the fluctuating state ..", "tokens": [6455, 11, 264, 6765, 307, 1825, 457, 257, 2290, 4386, 257, 2290, 281, 1319, 264, 23448, 32438, 1785, 295, 1442, 759, 264, 1442, 390, 18558, 6930, 11, 300, 307, 11, 3671, 47387, 11, 309, 3062, 9652, 6930, 11, 300, 307, 11, 3353, 47387, 467, 393, 2171, 312, 3671, 11, 295, 1164, 11, 382, 938, 382, 309, 1487, 490, 257, 957, 2657, 11, 309, 1633, 312, 3671, 11, 1392, 30, 663, 307, 11, 18558, 6930, 11, 293, 652, 309, 8952, 682, 661, 2283, 11, 264, 23448, 32438, 1785, 4386], "avg_logprob": -0.3799157437313809, "compression_ratio": 1.819905213270142, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 605.2599999999999, "end": 605.8399999999999, "word": "So,", "probability": 0.6181640625}, {"start": 605.8399999999999, "end": 606.42, "word": " the", "probability": 0.5791015625}, {"start": 606.42, "end": 606.72, "word": " lens", "probability": 0.57763671875}, {"start": 606.72, "end": 607.38, "word": " is", "probability": 0.892578125}, {"start": 607.38, "end": 607.66, "word": " nothing", "probability": 0.36962890625}, {"start": 607.66, "end": 607.7, "word": " but", "probability": 0.68798828125}, {"start": 607.7, "end": 607.88, "word": " a", "probability": 0.634765625}, {"start": 607.88, "end": 608.2, "word": " tool", "probability": 0.58642578125}, {"start": 608.2, "end": 608.7, "word": " ..", "probability": 0.32763671875}, {"start": 608.7, "end": 608.84, "word": " a", "probability": 0.53125}, {"start": 608.84, "end": 609.16, "word": " tool", "probability": 0.853515625}, {"start": 609.16, "end": 609.72, "word": " to", "probability": 0.78173828125}, {"start": 609.72, "end": 610.24, "word": " change", "probability": 0.8798828125}, {"start": 610.24, "end": 610.5, "word": " the", "probability": 0.84716796875}, {"start": 610.5, "end": 611.58, "word": " fluctuating", "probability": 0.3284912109375}, {"start": 611.58, "end": 611.58, "word": " state", "probability": 0.8857421875}, {"start": 611.58, "end": 611.84, "word": " of", "probability": 0.8994140625}, {"start": 611.84, "end": 612.1, "word": " light", "probability": 0.806640625}, {"start": 612.1, "end": 613.4, "word": " If", "probability": 0.54248046875}, {"start": 613.4, "end": 613.54, "word": " the", "probability": 0.67724609375}, {"start": 613.54, "end": 613.78, "word": " light", "probability": 0.8837890625}, {"start": 613.78, "end": 614.2, "word": " was", "probability": 0.43310546875}, {"start": 614.2, "end": 614.86, "word": " divergent,", "probability": 0.8857421875}, {"start": 615.0, "end": 615.14, "word": " that", "probability": 0.25732421875}, {"start": 615.14, "end": 615.14, "word": " is,", "probability": 0.80908203125}, {"start": 615.16, "end": 615.52, "word": " negative", "probability": 0.79638671875}, {"start": 615.52, "end": 616.12, "word": " divergence,", "probability": 0.5361328125}, {"start": 616.38, "end": 616.62, "word": " it", "probability": 0.728515625}, {"start": 616.62, "end": 616.86, "word": " became", "probability": 0.446044921875}, {"start": 616.86, "end": 617.58, "word": " convergent,", "probability": 0.970458984375}, {"start": 617.72, "end": 617.84, "word": " that", "probability": 0.77197265625}, {"start": 617.84, "end": 617.84, "word": " is,", "probability": 0.9404296875}, {"start": 617.86, "end": 618.18, "word": " positive", "probability": 0.9345703125}, {"start": 618.18, "end": 618.72, "word": " divergence", "probability": 0.97705078125}, {"start": 618.72, "end": 619.18, "word": " It", "probability": 0.6025390625}, {"start": 619.18, "end": 619.46, "word": " can", "probability": 0.556640625}, {"start": 619.46, "end": 620.12, "word": " sometimes", "probability": 0.68115234375}, {"start": 620.12, "end": 620.56, "word": " be", "probability": 0.953125}, {"start": 620.56, "end": 621.2, "word": " negative,", "probability": 0.96337890625}, {"start": 621.64, "end": 621.8, "word": " of", "probability": 0.859375}, {"start": 621.8, "end": 621.86, "word": " course,", "probability": 0.96337890625}, {"start": 622.0, "end": 622.14, "word": " as", "probability": 0.75927734375}, {"start": 622.14, "end": 622.3, "word": " long", "probability": 0.90966796875}, {"start": 622.3, "end": 622.3, "word": " as", "probability": 0.97119140625}, {"start": 622.3, "end": 622.48, "word": " it", "probability": 0.91015625}, {"start": 622.48, "end": 622.48, "word": " comes", "probability": 0.7119140625}, {"start": 622.48, "end": 622.56, "word": " from", "probability": 0.88916015625}, {"start": 622.56, "end": 622.74, "word": " a", "probability": 0.7421875}, {"start": 622.74, "end": 623.3, "word": " real", "probability": 0.896484375}, {"start": 623.3, "end": 623.44, "word": " object,", "probability": 0.9677734375}, {"start": 623.54, "end": 623.54, "word": " it", "probability": 0.93359375}, {"start": 623.54, "end": 623.86, "word": " must", "probability": 0.68212890625}, {"start": 623.86, "end": 624.18, "word": " be", "probability": 0.93994140625}, {"start": 624.18, "end": 624.56, "word": " negative,", "probability": 0.9580078125}, {"start": 624.7, "end": 624.92, "word": " okay?", "probability": 0.5439453125}, {"start": 625.08, "end": 625.28, "word": " That", "probability": 0.484130859375}, {"start": 625.28, "end": 625.3, "word": " is,", "probability": 0.90625}, {"start": 625.34, "end": 625.94, "word": " divergent,", "probability": 0.523773193359375}, {"start": 626.04, "end": 626.56, "word": " and", "probability": 0.9306640625}, {"start": 626.56, "end": 626.86, "word": " make", "probability": 0.393798828125}, {"start": 626.86, "end": 626.98, "word": " it", "probability": 0.9140625}, {"start": 626.98, "end": 627.36, "word": " parallel", "probability": 0.923828125}, {"start": 627.36, "end": 628.68, "word": " In", "probability": 0.54150390625}, {"start": 628.68, "end": 629.24, "word": " other", "probability": 0.5927734375}, {"start": 629.24, "end": 629.24, "word": " words,", "probability": 0.8603515625}, {"start": 629.9, "end": 630.48, "word": " the", "probability": 0.78271484375}, {"start": 630.48, "end": 631.48, "word": " fluctuating", "probability": 0.9404296875}, {"start": 631.48, "end": 631.56, "word": " state", "probability": 0.91015625}, {"start": 631.56, "end": 631.98, "word": " ..", "probability": 0.7158203125}], "temperature": 1.0}, {"id": 26, "seek": 66061, "start": 632.51, "end": 660.61, "text": "it changes with the power of the lens, which means that the lens is responsible for changing the fluctuating state of light, so it is natural that the fluctuating state is measured with the diopter and the force that affects it is measured with the diopter if we imagine for example that the fluctuating light is a coin, for example, a thousand dollar coin", "tokens": [270, 2962, 365, 264, 1347, 295, 264, 40116, 82, 11, 597, 1355, 300, 264, 6765, 307, 6250, 337, 4473, 264, 23448, 32438, 1785, 295, 1442, 11, 370, 309, 307, 3303, 300, 264, 23448, 32438, 1785, 307, 12690, 365, 264, 1026, 404, 391, 293, 264, 3464, 300, 11807, 309, 307, 12690, 365, 264, 1026, 404, 391, 498, 321, 3811, 337, 1365, 300, 264, 23448, 32438, 1442, 307, 257, 11464, 11, 337, 1365, 11, 257, 4714, 7241, 11464], "avg_logprob": -0.5466720810184231, "compression_ratio": 2.045977011494253, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 632.51, "end": 632.67, "word": "it", "probability": 0.258544921875}, {"start": 632.67, "end": 633.21, "word": " changes", "probability": 0.646484375}, {"start": 633.21, "end": 633.79, "word": " with", "probability": 0.56689453125}, {"start": 633.79, "end": 633.81, "word": " the", "probability": 0.7783203125}, {"start": 633.81, "end": 634.01, "word": " power", "probability": 0.303955078125}, {"start": 634.01, "end": 634.15, "word": " of", "probability": 0.9599609375}, {"start": 634.15, "end": 634.25, "word": " the", "probability": 0.85302734375}, {"start": 634.25, "end": 634.49, "word": " lens,", "probability": 0.515380859375}, {"start": 634.55, "end": 634.71, "word": " which", "probability": 0.251708984375}, {"start": 634.71, "end": 634.71, "word": " means", "probability": 0.7060546875}, {"start": 634.71, "end": 634.89, "word": " that", "probability": 0.60400390625}, {"start": 634.89, "end": 635.03, "word": " the", "probability": 0.7880859375}, {"start": 635.03, "end": 635.31, "word": " lens", "probability": 0.734375}, {"start": 635.31, "end": 635.53, "word": " is", "probability": 0.26318359375}, {"start": 635.53, "end": 635.93, "word": " responsible", "probability": 0.1512451171875}, {"start": 635.93, "end": 636.07, "word": " for", "probability": 0.7822265625}, {"start": 636.07, "end": 636.49, "word": " changing", "probability": 0.6953125}, {"start": 636.49, "end": 636.69, "word": " the", "probability": 0.85546875}, {"start": 636.69, "end": 637.69, "word": " fluctuating", "probability": 0.213531494140625}, {"start": 637.69, "end": 637.69, "word": " state", "probability": 0.84326171875}, {"start": 637.69, "end": 638.37, "word": " of", "probability": 0.861328125}, {"start": 638.37, "end": 638.65, "word": " light,", "probability": 0.57666015625}, {"start": 638.83, "end": 638.89, "word": " so", "probability": 0.271484375}, {"start": 638.89, "end": 639.01, "word": " it", "probability": 0.53369140625}, {"start": 639.01, "end": 639.59, "word": " is", "probability": 0.681640625}, {"start": 639.59, "end": 640.13, "word": " natural", "probability": 0.484619140625}, {"start": 640.13, "end": 640.49, "word": " that", "probability": 0.7900390625}, {"start": 640.49, "end": 640.65, "word": " the", "probability": 0.80615234375}, {"start": 640.65, "end": 641.47, "word": " fluctuating", "probability": 0.912353515625}, {"start": 641.47, "end": 641.65, "word": " state", "probability": 0.9052734375}, {"start": 641.65, "end": 641.87, "word": " is", "probability": 0.56298828125}, {"start": 641.87, "end": 642.25, "word": " measured", "probability": 0.259033203125}, {"start": 642.25, "end": 643.05, "word": " with", "probability": 0.48876953125}, {"start": 643.05, "end": 643.15, "word": " the", "probability": 0.65185546875}, {"start": 643.15, "end": 643.59, "word": " diopter", "probability": 0.9124348958333334}, {"start": 643.59, "end": 644.17, "word": " and", "probability": 0.607421875}, {"start": 644.17, "end": 644.35, "word": " the", "probability": 0.80029296875}, {"start": 644.35, "end": 644.59, "word": " force", "probability": 0.693359375}, {"start": 644.59, "end": 644.75, "word": " that", "probability": 0.533203125}, {"start": 644.75, "end": 645.17, "word": " affects", "probability": 0.459228515625}, {"start": 645.17, "end": 645.69, "word": " it", "probability": 0.8740234375}, {"start": 645.69, "end": 645.89, "word": " is", "probability": 0.8798828125}, {"start": 645.89, "end": 646.25, "word": " measured", "probability": 0.78271484375}, {"start": 646.25, "end": 646.79, "word": " with", "probability": 0.78759765625}, {"start": 646.79, "end": 647.17, "word": " the", "probability": 0.896484375}, {"start": 647.17, "end": 647.61, "word": " diopter", "probability": 0.9440104166666666}, {"start": 647.61, "end": 648.05, "word": " if", "probability": 0.260009765625}, {"start": 648.05, "end": 648.19, "word": " we", "probability": 0.90234375}, {"start": 648.19, "end": 648.65, "word": " imagine", "probability": 0.890625}, {"start": 648.65, "end": 649.19, "word": " for", "probability": 0.60693359375}, {"start": 649.19, "end": 649.51, "word": " example", "probability": 0.9501953125}, {"start": 649.51, "end": 653.11, "word": " that", "probability": 0.4912109375}, {"start": 653.11, "end": 656.23, "word": " the", "probability": 0.7529296875}, {"start": 656.23, "end": 657.17, "word": " fluctuating", "probability": 0.801025390625}, {"start": 657.17, "end": 657.17, "word": " light", "probability": 0.86767578125}, {"start": 657.17, "end": 657.43, "word": " is", "probability": 0.91796875}, {"start": 657.43, "end": 657.95, "word": " a", "probability": 0.334716796875}, {"start": 657.95, "end": 658.21, "word": " coin,", "probability": 0.2301025390625}, {"start": 659.07, "end": 659.33, "word": " for", "probability": 0.77734375}, {"start": 659.33, "end": 659.51, "word": " example,", "probability": 0.95068359375}, {"start": 659.61, "end": 659.99, "word": " a", "probability": 0.712890625}, {"start": 659.99, "end": 660.17, "word": " thousand", "probability": 0.260986328125}, {"start": 660.17, "end": 660.61, "word": " dollar", "probability": 0.53466796875}, {"start": 660.61, "end": 660.61, "word": " coin", "probability": 0.8876953125}], "temperature": 1.0}, {"id": 27, "seek": 67145, "start": 662.71, "end": 671.45, "text": "وفي شيء مثلا له قيمة مثلا قطعة ذهبية بالها تستخدم في سداد هذا الدين", "tokens": [2407, 41185, 44049, 38207, 50113, 15040, 46740, 12174, 32640, 3660, 50113, 15040, 12174, 9566, 27884, 29910, 3224, 3555, 10632, 20666, 11296, 6055, 14851, 9778, 40448, 8978, 8608, 3215, 18513, 23758, 32748, 9957], "avg_logprob": -0.18738162878787878, "compression_ratio": 1.3010752688172043, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 662.71, "end": 663.51, "word": "وفي", "probability": 0.462158203125}, {"start": 663.51, "end": 664.31, "word": " شيء", "probability": 0.880126953125}, {"start": 664.31, "end": 664.73, "word": " مثلا", "probability": 0.89697265625}, {"start": 664.73, "end": 664.93, "word": " له", "probability": 0.947265625}, {"start": 664.93, "end": 665.43, "word": " قيمة", "probability": 0.9915364583333334}, {"start": 665.43, "end": 665.75, "word": " مثلا", "probability": 0.8876953125}, {"start": 665.75, "end": 666.13, "word": " قطعة", "probability": 0.9625651041666666}, {"start": 666.13, "end": 666.81, "word": " ذهبية", "probability": 0.978759765625}, {"start": 666.81, "end": 669.55, "word": " بالها", "probability": 0.4730224609375}, {"start": 669.55, "end": 670.17, "word": " تستخدم", "probability": 0.94140625}, {"start": 670.17, "end": 670.35, "word": " في", "probability": 0.96533203125}, {"start": 670.35, "end": 670.83, "word": " سداد", "probability": 0.9112955729166666}, {"start": 670.83, "end": 671.07, "word": " هذا", "probability": 0.95654296875}, {"start": 671.07, "end": 671.45, "word": " الدين", "probability": 0.88671875}], "temperature": 1.0}, {"id": 28, "seek": 70047, "start": 672.77, "end": 700.47, "text": "We say that a piece of gold is valued in dollars. I can value it in dollars because a piece of gold is equal to 1500 dollars. So 1000 out of 1500 will pay off the debt and 500 will remain to benefit from it in buying something else. This is an example of simplifying the situation. The conflicting situation was divergent. The things that made this tool that we call optical system or lens", "tokens": [4360, 584, 300, 257, 2522, 295, 3821, 307, 22608, 294, 3808, 13, 286, 393, 2158, 309, 294, 3808, 570, 257, 2522, 295, 3821, 307, 2681, 281, 22671, 3808, 13, 407, 9714, 484, 295, 22671, 486, 1689, 766, 264, 7831, 293, 5923, 486, 6222, 281, 5121, 490, 309, 294, 6382, 746, 1646, 13, 639, 307, 364, 1365, 295, 6883, 5489, 264, 2590, 13, 440, 43784, 2590, 390, 18558, 6930, 13, 440, 721, 300, 1027, 341, 2290, 300, 321, 818, 20674, 1185, 420, 6765], "avg_logprob": -0.5368975788713938, "compression_ratio": 1.7212389380530972, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 672.77, "end": 672.93, "word": "We", "probability": 0.3935546875}, {"start": 672.93, "end": 673.21, "word": " say", "probability": 0.72998046875}, {"start": 673.21, "end": 673.55, "word": " that", "probability": 0.46044921875}, {"start": 673.55, "end": 673.67, "word": " a", "probability": 0.54931640625}, {"start": 673.67, "end": 673.81, "word": " piece", "probability": 0.294189453125}, {"start": 673.81, "end": 673.97, "word": " of", "probability": 0.96923828125}, {"start": 673.97, "end": 674.25, "word": " gold", "probability": 0.82958984375}, {"start": 674.25, "end": 674.55, "word": " is", "probability": 0.5751953125}, {"start": 674.55, "end": 674.87, "word": " valued", "probability": 0.43408203125}, {"start": 674.87, "end": 675.17, "word": " in", "probability": 0.347412109375}, {"start": 675.17, "end": 675.75, "word": " dollars.", "probability": 0.75439453125}, {"start": 676.03, "end": 676.17, "word": " I", "probability": 0.37744140625}, {"start": 676.17, "end": 676.45, "word": " can", "probability": 0.7275390625}, {"start": 676.45, "end": 676.77, "word": " value", "probability": 0.6806640625}, {"start": 676.77, "end": 676.95, "word": " it", "probability": 0.87451171875}, {"start": 676.95, "end": 677.07, "word": " in", "probability": 0.83642578125}, {"start": 677.07, "end": 677.27, "word": " dollars", "probability": 0.912109375}, {"start": 677.27, "end": 677.45, "word": " because", "probability": 0.6982421875}, {"start": 677.45, "end": 677.61, "word": " a", "probability": 0.332275390625}, {"start": 677.61, "end": 677.77, "word": " piece", "probability": 0.7822265625}, {"start": 677.77, "end": 677.89, "word": " of", "probability": 0.9609375}, {"start": 677.89, "end": 678.21, "word": " gold", "probability": 0.869140625}, {"start": 678.21, "end": 678.43, "word": " is", "probability": 0.35888671875}, {"start": 678.43, "end": 679.03, "word": " equal", "probability": 0.46435546875}, {"start": 679.03, "end": 679.73, "word": " to", "probability": 0.9248046875}, {"start": 679.73, "end": 680.31, "word": " 1500", "probability": 0.60009765625}, {"start": 680.31, "end": 681.11, "word": " dollars.", "probability": 0.693359375}, {"start": 681.53, "end": 681.95, "word": " So", "probability": 0.751953125}, {"start": 681.95, "end": 682.43, "word": " 1000", "probability": 0.72119140625}, {"start": 682.43, "end": 682.65, "word": " out", "probability": 0.52978515625}, {"start": 682.65, "end": 682.65, "word": " of", "probability": 0.96630859375}, {"start": 682.65, "end": 683.29, "word": " 1500", "probability": 0.970703125}, {"start": 683.29, "end": 683.71, "word": " will", "probability": 0.70068359375}, {"start": 683.71, "end": 684.19, "word": " pay", "probability": 0.341552734375}, {"start": 684.19, "end": 684.45, "word": " off", "probability": 0.57861328125}, {"start": 684.45, "end": 684.45, "word": " the", "probability": 0.599609375}, {"start": 684.45, "end": 684.67, "word": " debt", "probability": 0.8134765625}, {"start": 684.67, "end": 685.65, "word": " and", "probability": 0.63134765625}, {"start": 685.65, "end": 686.25, "word": " 500", "probability": 0.8896484375}, {"start": 686.25, "end": 686.63, "word": " will", "probability": 0.8271484375}, {"start": 686.63, "end": 686.93, "word": " remain", "probability": 0.486572265625}, {"start": 686.93, "end": 687.49, "word": " to", "probability": 0.712890625}, {"start": 687.49, "end": 688.05, "word": " benefit", "probability": 0.4072265625}, {"start": 688.05, "end": 688.29, "word": " from", "probability": 0.84326171875}, {"start": 688.29, "end": 688.53, "word": " it", "probability": 0.802734375}, {"start": 688.53, "end": 689.27, "word": " in", "probability": 0.42333984375}, {"start": 689.27, "end": 689.75, "word": " buying", "probability": 0.85986328125}, {"start": 689.75, "end": 690.03, "word": " something", "probability": 0.73486328125}, {"start": 690.03, "end": 690.39, "word": " else.", "probability": 0.90478515625}, {"start": 690.47, "end": 690.65, "word": " This", "probability": 0.75732421875}, {"start": 690.65, "end": 691.09, "word": " is", "probability": 0.91845703125}, {"start": 691.09, "end": 691.53, "word": " an", "probability": 0.8759765625}, {"start": 691.53, "end": 691.53, "word": " example", "probability": 0.974609375}, {"start": 691.53, "end": 691.73, "word": " of", "probability": 0.43798828125}, {"start": 691.73, "end": 692.13, "word": " simplifying", "probability": 0.827880859375}, {"start": 692.13, "end": 692.27, "word": " the", "probability": 0.318603515625}, {"start": 692.27, "end": 692.47, "word": " situation.", "probability": 0.5498046875}, {"start": 692.87, "end": 693.01, "word": " The", "probability": 0.828125}, {"start": 693.01, "end": 693.73, "word": " conflicting", "probability": 0.040557861328125}, {"start": 693.73, "end": 693.85, "word": " situation", "probability": 0.537109375}, {"start": 693.85, "end": 694.37, "word": " was", "probability": 0.86474609375}, {"start": 694.37, "end": 695.05, "word": " divergent.", "probability": 0.906982421875}, {"start": 695.19, "end": 695.21, "word": " The", "probability": 0.56640625}, {"start": 695.21, "end": 695.45, "word": " things", "probability": 0.18310546875}, {"start": 695.45, "end": 697.09, "word": " that", "probability": 0.70068359375}, {"start": 697.09, "end": 697.49, "word": " made", "probability": 0.208984375}, {"start": 697.49, "end": 697.95, "word": " this", "probability": 0.43701171875}, {"start": 697.95, "end": 698.25, "word": " tool", "probability": 0.413330078125}, {"start": 698.25, "end": 698.35, "word": " that", "probability": 0.29296875}, {"start": 698.35, "end": 698.53, "word": " we", "probability": 0.9453125}, {"start": 698.53, "end": 698.91, "word": " call", "probability": 0.87841796875}, {"start": 698.91, "end": 699.37, "word": " optical", "probability": 0.475341796875}, {"start": 699.37, "end": 699.91, "word": " system", "probability": 0.92431640625}, {"start": 699.91, "end": 700.13, "word": " or", "probability": 0.83056640625}, {"start": 700.13, "end": 700.47, "word": " lens", "probability": 0.54345703125}], "temperature": 1.0}, {"id": 29, "seek": 72378, "start": 701.0, "end": 723.78, "text": "It is the combination of two things that changed the state of light from fluctuating to accumulating, so it is natural that its force is measured in the diopter and it is evaluated in the diopter as we evaluated the golden piece in the dollar, the force of the lens is evaluated in the diopter because the fluctuating state of light is measured in the diopter or in the meter minus one", "tokens": [3522, 307, 264, 6562, 295, 732, 721, 300, 3105, 264, 1785, 295, 1442, 490, 23448, 32438, 281, 12989, 12162, 11, 370, 309, 307, 3303, 300, 1080, 3464, 307, 12690, 294, 264, 1026, 404, 391, 293, 309, 307, 25509, 294, 264, 1026, 404, 391, 382, 321, 25509, 264, 9729, 2522, 294, 264, 7241, 11, 264, 3464, 295, 264, 6765, 307, 25509, 294, 264, 1026, 404, 391, 570, 264, 23448, 32438, 1785, 295, 1442, 307, 12690, 294, 264, 1026, 404, 391, 420, 294, 264, 9255, 3175, 472], "avg_logprob": -0.5606831263664157, "compression_ratio": 2.1270718232044197, "no_speech_prob": 2.6524066925048828e-05, "words": [{"start": 701.0, "end": 701.36, "word": "It", "probability": 0.294921875}, {"start": 701.36, "end": 701.38, "word": " is", "probability": 0.21630859375}, {"start": 701.38, "end": 701.92, "word": " the", "probability": 0.1845703125}, {"start": 701.92, "end": 702.18, "word": " combination", "probability": 0.16748046875}, {"start": 702.18, "end": 702.38, "word": " of", "probability": 0.9248046875}, {"start": 702.38, "end": 702.56, "word": " two", "probability": 0.17431640625}, {"start": 702.56, "end": 702.7, "word": " things", "probability": 0.3486328125}, {"start": 702.7, "end": 702.96, "word": " that", "probability": 0.350830078125}, {"start": 702.96, "end": 703.74, "word": " changed", "probability": 0.328125}, {"start": 703.74, "end": 704.04, "word": " the", "probability": 0.59765625}, {"start": 704.04, "end": 704.28, "word": " state", "probability": 0.5947265625}, {"start": 704.28, "end": 704.5, "word": " of", "probability": 0.9658203125}, {"start": 704.5, "end": 704.66, "word": " light", "probability": 0.5146484375}, {"start": 704.66, "end": 704.9, "word": " from", "probability": 0.6259765625}, {"start": 704.9, "end": 705.6, "word": " fluctuating", "probability": 0.51605224609375}, {"start": 705.6, "end": 705.82, "word": " to", "probability": 0.81591796875}, {"start": 705.82, "end": 706.38, "word": " accumulating,", "probability": 0.5523681640625}, {"start": 706.48, "end": 706.54, "word": " so", "probability": 0.30224609375}, {"start": 706.54, "end": 706.74, "word": " it", "probability": 0.461669921875}, {"start": 706.74, "end": 706.9, "word": " is", "probability": 0.7275390625}, {"start": 706.9, "end": 706.92, "word": " natural", "probability": 0.388427734375}, {"start": 706.92, "end": 707.46, "word": " that", "probability": 0.83837890625}, {"start": 707.46, "end": 708.22, "word": " its", "probability": 0.61083984375}, {"start": 708.22, "end": 708.48, "word": " force", "probability": 0.276611328125}, {"start": 708.48, "end": 708.76, "word": " is", "probability": 0.7890625}, {"start": 708.76, "end": 708.9, "word": " measured", "probability": 0.331787109375}, {"start": 708.9, "end": 709.1, "word": " in", "probability": 0.34326171875}, {"start": 709.1, "end": 709.22, "word": " the", "probability": 0.5830078125}, {"start": 709.22, "end": 709.66, "word": " diopter", "probability": 0.90576171875}, {"start": 709.66, "end": 710.22, "word": " and", "probability": 0.50732421875}, {"start": 710.22, "end": 710.32, "word": " it", "probability": 0.141845703125}, {"start": 710.32, "end": 710.46, "word": " is", "probability": 0.84228515625}, {"start": 710.46, "end": 710.7, "word": " evaluated", "probability": 0.476806640625}, {"start": 710.7, "end": 710.94, "word": " in", "probability": 0.402587890625}, {"start": 710.94, "end": 711.08, "word": " the", "probability": 0.89892578125}, {"start": 711.08, "end": 711.56, "word": " diopter", "probability": 0.95556640625}, {"start": 711.56, "end": 712.28, "word": " as", "probability": 0.313232421875}, {"start": 712.28, "end": 712.62, "word": " we", "probability": 0.80224609375}, {"start": 712.62, "end": 713.0, "word": " evaluated", "probability": 0.6953125}, {"start": 713.0, "end": 713.2, "word": " the", "probability": 0.88671875}, {"start": 713.2, "end": 713.74, "word": " golden", "probability": 0.26513671875}, {"start": 713.74, "end": 713.86, "word": " piece", "probability": 0.69677734375}, {"start": 713.86, "end": 714.12, "word": " in", "probability": 0.50341796875}, {"start": 714.12, "end": 714.22, "word": " the", "probability": 0.560546875}, {"start": 714.22, "end": 714.44, "word": " dollar,", "probability": 0.90966796875}, {"start": 714.92, "end": 715.54, "word": " the", "probability": 0.6962890625}, {"start": 715.54, "end": 715.72, "word": " force", "probability": 0.274658203125}, {"start": 715.72, "end": 715.88, "word": " of", "probability": 0.9560546875}, {"start": 715.88, "end": 715.94, "word": " the", "probability": 0.90673828125}, {"start": 715.94, "end": 716.12, "word": " lens", "probability": 0.5341796875}, {"start": 716.12, "end": 716.34, "word": " is", "probability": 0.8525390625}, {"start": 716.34, "end": 716.54, "word": " evaluated", "probability": 0.82177734375}, {"start": 716.54, "end": 716.7, "word": " in", "probability": 0.84912109375}, {"start": 716.7, "end": 716.82, "word": " the", "probability": 0.9140625}, {"start": 716.82, "end": 717.24, "word": " diopter", "probability": 0.9498697916666666}, {"start": 717.24, "end": 717.72, "word": " because", "probability": 0.65185546875}, {"start": 717.72, "end": 717.96, "word": " the", "probability": 0.79296875}, {"start": 717.96, "end": 718.9, "word": " fluctuating", "probability": 0.680419921875}, {"start": 718.9, "end": 718.98, "word": " state", "probability": 0.90625}, {"start": 718.98, "end": 719.4, "word": " of", "probability": 0.9423828125}, {"start": 719.4, "end": 719.94, "word": " light", "probability": 0.7353515625}, {"start": 719.94, "end": 720.16, "word": " is", "probability": 0.8974609375}, {"start": 720.16, "end": 720.48, "word": " measured", "probability": 0.7998046875}, {"start": 720.48, "end": 720.8, "word": " in", "probability": 0.89599609375}, {"start": 720.8, "end": 720.94, "word": " the", "probability": 0.91162109375}, {"start": 720.94, "end": 721.44, "word": " diopter", "probability": 0.9485677083333334}, {"start": 721.44, "end": 722.28, "word": " or", "probability": 0.86669921875}, {"start": 722.28, "end": 722.38, "word": " in", "probability": 0.78515625}, {"start": 722.38, "end": 722.46, "word": " the", "probability": 0.7578125}, {"start": 722.46, "end": 722.66, "word": " meter", "probability": 0.517578125}, {"start": 722.66, "end": 723.22, "word": " minus", "probability": 0.224609375}, {"start": 723.22, "end": 723.78, "word": " one", "probability": 0.78857421875}], "temperature": 1.0}, {"id": 30, "seek": 75388, "start": 724.98, "end": 753.88, "text": "This is for the subject of vergence, that vergence is the inverse of distance The distances that are used in the science of geometric optics You can find the object at a distance of 4 meters, 2 meters, 1 meter, half a meter, third meter, quarter meter, five meters Of course, when you calculate the vergence of light at these distances I want to invert these distances The four meters becomes a quarter meter minus one The two meters are inverted one by two, that is, half a meter minus one", "tokens": [5723, 307, 337, 264, 3983, 295, 1306, 15260, 11, 300, 1306, 15260, 307, 264, 17340, 295, 4560, 440, 22182, 300, 366, 1143, 294, 264, 3497, 295, 33246, 42599, 509, 393, 915, 264, 2657, 412, 257, 4560, 295, 1017, 8146, 11, 568, 8146, 11, 502, 9255, 11, 1922, 257, 9255, 11, 2636, 9255, 11, 6555, 9255, 11, 1732, 8146, 2720, 1164, 11, 562, 291, 8873, 264, 1306, 15260, 295, 1442, 412, 613, 22182, 286, 528, 281, 33966, 613, 22182, 440, 1451, 8146, 3643, 257, 6555, 9255, 3175, 472, 440, 732, 8146, 366, 38969, 472, 538, 732, 11, 300, 307, 11, 1922, 257, 9255, 3175, 472], "avg_logprob": -0.44464287076677594, "compression_ratio": 2.0081967213114753, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 724.98, "end": 725.36, "word": "This", "probability": 0.2137451171875}, {"start": 725.36, "end": 725.5, "word": " is", "probability": 0.54248046875}, {"start": 725.5, "end": 725.94, "word": " for", "probability": 0.392578125}, {"start": 725.94, "end": 726.26, "word": " the", "probability": 0.470947265625}, {"start": 726.26, "end": 726.62, "word": " subject", "probability": 0.498291015625}, {"start": 726.62, "end": 727.02, "word": " of", "probability": 0.89208984375}, {"start": 727.02, "end": 727.54, "word": " vergence,", "probability": 0.56280517578125}, {"start": 727.68, "end": 727.8, "word": " that", "probability": 0.267822265625}, {"start": 727.8, "end": 728.44, "word": " vergence", "probability": 0.66748046875}, {"start": 728.44, "end": 728.66, "word": " is", "probability": 0.77197265625}, {"start": 728.66, "end": 728.86, "word": " the", "probability": 0.3232421875}, {"start": 728.86, "end": 728.94, "word": " inverse", "probability": 0.1961669921875}, {"start": 728.94, "end": 729.16, "word": " of", "probability": 0.95458984375}, {"start": 729.16, "end": 729.64, "word": " distance", "probability": 0.69091796875}, {"start": 729.64, "end": 730.38, "word": " The", "probability": 0.4208984375}, {"start": 730.38, "end": 730.68, "word": " distances", "probability": 0.91064453125}, {"start": 730.68, "end": 730.96, "word": " that", "probability": 0.3662109375}, {"start": 730.96, "end": 731.08, "word": " are", "probability": 0.740234375}, {"start": 731.08, "end": 731.44, "word": " used", "probability": 0.91796875}, {"start": 731.44, "end": 731.66, "word": " in", "probability": 0.87255859375}, {"start": 731.66, "end": 731.7, "word": " the", "probability": 0.431640625}, {"start": 731.7, "end": 731.84, "word": " science", "probability": 0.44580078125}, {"start": 731.84, "end": 731.92, "word": " of", "probability": 0.97216796875}, {"start": 731.92, "end": 732.36, "word": " geometric", "probability": 0.59619140625}, {"start": 732.36, "end": 732.86, "word": " optics", "probability": 0.9638671875}, {"start": 732.86, "end": 733.0, "word": " You", "probability": 0.1376953125}, {"start": 733.0, "end": 733.24, "word": " can", "probability": 0.81298828125}, {"start": 733.24, "end": 733.48, "word": " find", "probability": 0.861328125}, {"start": 733.48, "end": 733.6, "word": " the", "probability": 0.35107421875}, {"start": 733.6, "end": 733.92, "word": " object", "probability": 0.78564453125}, {"start": 733.92, "end": 734.14, "word": " at", "probability": 0.389892578125}, {"start": 734.14, "end": 734.42, "word": " a", "probability": 0.5947265625}, {"start": 734.42, "end": 734.42, "word": " distance", "probability": 0.89208984375}, {"start": 734.42, "end": 734.58, "word": " of", "probability": 0.91943359375}, {"start": 734.58, "end": 734.86, "word": " 4", "probability": 0.6630859375}, {"start": 734.86, "end": 735.2, "word": " meters,", "probability": 0.79345703125}, {"start": 735.34, "end": 735.52, "word": " 2", "probability": 0.845703125}, {"start": 735.52, "end": 735.98, "word": " meters,", "probability": 0.91943359375}, {"start": 736.12, "end": 736.32, "word": " 1", "probability": 0.916015625}, {"start": 736.32, "end": 736.7, "word": " meter,", "probability": 0.86181640625}, {"start": 736.88, "end": 737.08, "word": " half", "probability": 0.499755859375}, {"start": 737.08, "end": 737.18, "word": " a", "probability": 0.7822265625}, {"start": 737.18, "end": 737.4, "word": " meter,", "probability": 0.9326171875}, {"start": 737.58, "end": 737.76, "word": " third", "probability": 0.53173828125}, {"start": 737.76, "end": 738.14, "word": " meter,", "probability": 0.82080078125}, {"start": 738.28, "end": 738.44, "word": " quarter", "probability": 0.75732421875}, {"start": 738.44, "end": 738.82, "word": " meter,", "probability": 0.6884765625}, {"start": 739.6, "end": 739.9, "word": " five", "probability": 0.73046875}, {"start": 739.9, "end": 740.28, "word": " meters", "probability": 0.61328125}, {"start": 740.28, "end": 740.86, "word": " Of", "probability": 0.537109375}, {"start": 740.86, "end": 740.92, "word": " course,", "probability": 0.95263671875}, {"start": 740.94, "end": 741.08, "word": " when", "probability": 0.85107421875}, {"start": 741.08, "end": 741.3, "word": " you", "probability": 0.396484375}, {"start": 741.3, "end": 741.72, "word": " calculate", "probability": 0.7646484375}, {"start": 741.72, "end": 742.4, "word": " the", "probability": 0.84521484375}, {"start": 742.4, "end": 742.84, "word": " vergence", "probability": 0.876708984375}, {"start": 742.84, "end": 743.12, "word": " of", "probability": 0.751953125}, {"start": 743.12, "end": 743.48, "word": " light", "probability": 0.60986328125}, {"start": 743.48, "end": 743.74, "word": " at", "probability": 0.8291015625}, {"start": 743.74, "end": 744.08, "word": " these", "probability": 0.80517578125}, {"start": 744.08, "end": 744.52, "word": " distances", "probability": 0.9423828125}, {"start": 744.52, "end": 745.1, "word": " I", "probability": 0.61279296875}, {"start": 745.1, "end": 745.26, "word": " want", "probability": 0.287841796875}, {"start": 745.26, "end": 745.46, "word": " to", "probability": 0.96435546875}, {"start": 745.46, "end": 745.62, "word": " invert", "probability": 0.292236328125}, {"start": 745.62, "end": 746.0, "word": " these", "probability": 0.8212890625}, {"start": 746.0, "end": 746.38, "word": " distances", "probability": 0.94140625}, {"start": 746.38, "end": 746.72, "word": " The", "probability": 0.44189453125}, {"start": 746.72, "end": 747.02, "word": " four", "probability": 0.58935546875}, {"start": 747.02, "end": 747.42, "word": " meters", "probability": 0.88916015625}, {"start": 747.42, "end": 747.76, "word": " becomes", "probability": 0.5087890625}, {"start": 747.76, "end": 747.96, "word": " a", "probability": 0.4990234375}, {"start": 747.96, "end": 748.14, "word": " quarter", "probability": 0.81494140625}, {"start": 748.14, "end": 748.5, "word": " meter", "probability": 0.71044921875}, {"start": 748.5, "end": 748.86, "word": " minus", "probability": 0.6943359375}, {"start": 748.86, "end": 749.4, "word": " one", "probability": 0.87744140625}, {"start": 749.4, "end": 749.92, "word": " The", "probability": 0.5263671875}, {"start": 749.92, "end": 750.26, "word": " two", "probability": 0.91552734375}, {"start": 750.26, "end": 750.6, "word": " meters", "probability": 0.92626953125}, {"start": 750.6, "end": 750.78, "word": " are", "probability": 0.365234375}, {"start": 750.78, "end": 751.08, "word": " inverted", "probability": 0.229248046875}, {"start": 751.08, "end": 751.5, "word": " one", "probability": 0.72265625}, {"start": 751.5, "end": 751.72, "word": " by", "probability": 0.59130859375}, {"start": 751.72, "end": 752.04, "word": " two,", "probability": 0.9375}, {"start": 752.16, "end": 752.2, "word": " that", "probability": 0.38134765625}, {"start": 752.2, "end": 752.24, "word": " is,", "probability": 0.8681640625}, {"start": 752.3, "end": 752.68, "word": " half", "probability": 0.7568359375}, {"start": 752.68, "end": 752.86, "word": " a", "probability": 0.92333984375}, {"start": 752.86, "end": 753.04, "word": " meter", "probability": 0.9267578125}, {"start": 753.04, "end": 753.26, "word": " minus", "probability": 0.95458984375}, {"start": 753.26, "end": 753.88, "word": " one", "probability": 0.92529296875}], "temperature": 1.0}, {"id": 31, "seek": 77823, "start": 754.73, "end": 778.23, "text": "one meter is reversed and one meter is minus one and so on and so forth So this means that the divergence is the inverse of the distance and also the distance is the inverse of the divergence When we say divergence equals one over the distance, also the distance equals one over the divergence", "tokens": [546, 9255, 307, 30563, 293, 472, 9255, 307, 3175, 472, 293, 370, 322, 293, 370, 5220, 407, 341, 1355, 300, 264, 47387, 307, 264, 17340, 295, 264, 4560, 293, 611, 264, 4560, 307, 264, 17340, 295, 264, 47387, 1133, 321, 584, 47387, 6915, 472, 670, 264, 4560, 11, 611, 264, 4560, 6915, 472, 670, 264, 47387], "avg_logprob": -0.41145833751611544, "compression_ratio": 2.2196969696969697, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 754.73, "end": 755.37, "word": "one", "probability": 0.49462890625}, {"start": 755.37, "end": 755.77, "word": " meter", "probability": 0.833984375}, {"start": 755.77, "end": 755.93, "word": " is", "probability": 0.49169921875}, {"start": 755.93, "end": 756.13, "word": " reversed", "probability": 0.1099853515625}, {"start": 756.13, "end": 756.33, "word": " and", "probability": 0.3515625}, {"start": 756.33, "end": 756.59, "word": " one", "probability": 0.77978515625}, {"start": 756.59, "end": 757.01, "word": " meter", "probability": 0.69921875}, {"start": 757.01, "end": 757.17, "word": " is", "probability": 0.59912109375}, {"start": 757.17, "end": 757.35, "word": " minus", "probability": 0.671875}, {"start": 757.35, "end": 757.75, "word": " one", "probability": 0.90625}, {"start": 757.75, "end": 757.99, "word": " and", "probability": 0.62353515625}, {"start": 757.99, "end": 758.35, "word": " so", "probability": 0.8544921875}, {"start": 758.35, "end": 758.45, "word": " on", "probability": 0.830078125}, {"start": 758.45, "end": 758.63, "word": " and", "probability": 0.54931640625}, {"start": 758.63, "end": 758.75, "word": " so", "probability": 0.94873046875}, {"start": 758.75, "end": 759.09, "word": " forth", "probability": 0.90234375}, {"start": 759.09, "end": 759.43, "word": " So", "probability": 0.1531982421875}, {"start": 759.43, "end": 759.83, "word": " this", "probability": 0.3251953125}, {"start": 759.83, "end": 760.39, "word": " means", "probability": 0.61572265625}, {"start": 760.39, "end": 760.99, "word": " that", "probability": 0.80615234375}, {"start": 760.99, "end": 761.21, "word": " the", "probability": 0.62353515625}, {"start": 761.21, "end": 761.55, "word": " divergence", "probability": 0.419677734375}, {"start": 761.55, "end": 761.87, "word": " is", "probability": 0.87158203125}, {"start": 761.87, "end": 761.93, "word": " the", "probability": 0.3515625}, {"start": 761.93, "end": 762.13, "word": " inverse", "probability": 0.33935546875}, {"start": 762.13, "end": 762.23, "word": " of", "probability": 0.96923828125}, {"start": 762.23, "end": 762.31, "word": " the", "probability": 0.81494140625}, {"start": 762.31, "end": 762.67, "word": " distance", "probability": 0.85595703125}, {"start": 762.67, "end": 762.89, "word": " and", "probability": 0.65576171875}, {"start": 762.89, "end": 763.23, "word": " also", "probability": 0.64599609375}, {"start": 763.23, "end": 763.43, "word": " the", "probability": 0.810546875}, {"start": 763.43, "end": 763.85, "word": " distance", "probability": 0.94482421875}, {"start": 763.85, "end": 764.15, "word": " is", "probability": 0.9296875}, {"start": 764.15, "end": 764.25, "word": " the", "probability": 0.68212890625}, {"start": 764.25, "end": 764.59, "word": " inverse", "probability": 0.54443359375}, {"start": 764.59, "end": 764.77, "word": " of", "probability": 0.9697265625}, {"start": 764.77, "end": 764.89, "word": " the", "probability": 0.6220703125}, {"start": 764.89, "end": 765.27, "word": " divergence", "probability": 0.98388671875}, {"start": 765.27, "end": 765.75, "word": " When", "probability": 0.59228515625}, {"start": 765.75, "end": 765.95, "word": " we", "probability": 0.939453125}, {"start": 765.95, "end": 766.11, "word": " say", "probability": 0.947265625}, {"start": 766.11, "end": 766.59, "word": " divergence", "probability": 0.93212890625}, {"start": 766.59, "end": 766.99, "word": " equals", "probability": 0.481689453125}, {"start": 766.99, "end": 767.37, "word": " one", "probability": 0.77978515625}, {"start": 767.37, "end": 767.63, "word": " over", "probability": 0.79150390625}, {"start": 767.63, "end": 767.79, "word": " the", "probability": 0.6494140625}, {"start": 767.79, "end": 768.27, "word": " distance,", "probability": 0.9453125}, {"start": 768.83, "end": 769.07, "word": " also", "probability": 0.60888671875}, {"start": 769.07, "end": 769.31, "word": " the", "probability": 0.90283203125}, {"start": 769.31, "end": 769.87, "word": " distance", "probability": 0.93408203125}, {"start": 769.87, "end": 775.13, "word": " equals", "probability": 0.315673828125}, {"start": 775.13, "end": 776.81, "word": " one", "probability": 0.93212890625}, {"start": 776.81, "end": 777.23, "word": " over", "probability": 0.884765625}, {"start": 777.23, "end": 777.91, "word": " the", "probability": 0.72705078125}, {"start": 777.91, "end": 778.23, "word": " divergence", "probability": 0.97705078125}], "temperature": 1.0}, {"id": 32, "seek": 80840, "start": 780.16, "end": 808.4, "text": "this will help me that distance is equal to one over divergence we say as follows if I have an example a practical example we say we want to know where is the object located this is my optical system and this is my point source or object", "tokens": [11176, 486, 854, 385, 300, 4560, 307, 2681, 281, 472, 670, 47387, 321, 584, 382, 10002, 498, 286, 362, 364, 1365, 257, 8496, 1365, 321, 584, 321, 528, 281, 458, 689, 307, 264, 2657, 6870, 341, 307, 452, 20674, 1185, 293, 341, 307, 452, 935, 4009, 420, 2657], "avg_logprob": -0.4901147764556262, "compression_ratio": 1.58, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 780.16, "end": 780.52, "word": "this", "probability": 0.132568359375}, {"start": 780.52, "end": 780.78, "word": " will", "probability": 0.268798828125}, {"start": 780.78, "end": 781.04, "word": " help", "probability": 0.5703125}, {"start": 781.04, "end": 781.18, "word": " me", "probability": 0.71240234375}, {"start": 781.18, "end": 781.32, "word": " that", "probability": 0.23193359375}, {"start": 781.32, "end": 781.74, "word": " distance", "probability": 0.6357421875}, {"start": 781.74, "end": 781.96, "word": " is", "probability": 0.3857421875}, {"start": 781.96, "end": 782.14, "word": " equal", "probability": 0.474853515625}, {"start": 782.14, "end": 782.22, "word": " to", "probability": 0.8056640625}, {"start": 782.22, "end": 782.4, "word": " one", "probability": 0.47802734375}, {"start": 782.4, "end": 782.58, "word": " over", "probability": 0.28759765625}, {"start": 782.58, "end": 783.12, "word": " divergence", "probability": 0.57568359375}, {"start": 783.12, "end": 783.62, "word": " we", "probability": 0.2003173828125}, {"start": 783.62, "end": 783.84, "word": " say", "probability": 0.67138671875}, {"start": 783.84, "end": 784.04, "word": " as", "probability": 0.5888671875}, {"start": 784.04, "end": 784.42, "word": " follows", "probability": 0.5615234375}, {"start": 784.42, "end": 784.78, "word": " if", "probability": 0.595703125}, {"start": 784.78, "end": 784.92, "word": " I", "probability": 0.77783203125}, {"start": 784.92, "end": 785.12, "word": " have", "probability": 0.9267578125}, {"start": 785.12, "end": 785.88, "word": " an", "probability": 0.60009765625}, {"start": 785.88, "end": 786.26, "word": " example", "probability": 0.96240234375}, {"start": 786.26, "end": 787.82, "word": " a", "probability": 0.1956787109375}, {"start": 787.82, "end": 789.48, "word": " practical", "probability": 0.8486328125}, {"start": 789.48, "end": 789.5, "word": " example", "probability": 0.9736328125}, {"start": 789.5, "end": 790.56, "word": " we", "probability": 0.66845703125}, {"start": 790.56, "end": 790.9, "word": " say", "probability": 0.9013671875}, {"start": 790.9, "end": 796.34, "word": " we", "probability": 0.6962890625}, {"start": 796.34, "end": 796.48, "word": " want", "probability": 0.6943359375}, {"start": 796.48, "end": 796.62, "word": " to", "probability": 0.9638671875}, {"start": 796.62, "end": 796.78, "word": " know", "probability": 0.86181640625}, {"start": 796.78, "end": 797.86, "word": " where", "probability": 0.56201171875}, {"start": 797.86, "end": 798.06, "word": " is", "probability": 0.6123046875}, {"start": 798.06, "end": 798.06, "word": " the", "probability": 0.6796875}, {"start": 798.06, "end": 798.06, "word": " object", "probability": 0.96533203125}, {"start": 798.06, "end": 798.62, "word": " located", "probability": 0.377197265625}, {"start": 798.62, "end": 798.98, "word": " this", "probability": 0.320068359375}, {"start": 798.98, "end": 799.08, "word": " is", "probability": 0.84423828125}, {"start": 799.08, "end": 799.3, "word": " my", "probability": 0.428955078125}, {"start": 799.3, "end": 799.58, "word": " optical", "probability": 0.9462890625}, {"start": 799.58, "end": 800.24, "word": " system", "probability": 0.96044921875}, {"start": 800.24, "end": 803.02, "word": " and", "probability": 0.72705078125}, {"start": 803.02, "end": 803.16, "word": " this", "probability": 0.7783203125}, {"start": 803.16, "end": 803.26, "word": " is", "probability": 0.87109375}, {"start": 803.26, "end": 804.0, "word": " my", "probability": 0.6396484375}, {"start": 804.0, "end": 807.14, "word": " point", "probability": 0.955078125}, {"start": 807.14, "end": 807.6, "word": " source", "probability": 0.875}, {"start": 807.6, "end": 807.84, "word": " or", "probability": 0.8828125}, {"start": 807.84, "end": 808.4, "word": " object", "probability": 0.97021484375}], "temperature": 1.0}, {"id": 33, "seek": 83760, "start": 810.52, "end": 837.6, "text": "The light has not yet reached the surface of the lens, but we chose a point from the gap The light is scattered in all directions, including the rays that will enter the lens", "tokens": [2278, 1442, 575, 406, 1939, 6488, 264, 3753, 295, 264, 6765, 11, 457, 321, 5111, 257, 935, 490, 264, 7417, 440, 1442, 307, 21986, 294, 439, 11095, 11, 3009, 264, 24417, 300, 486, 3242, 264, 6765], "avg_logprob": -0.5574324517636686, "compression_ratio": 1.43801652892562, "no_speech_prob": 2.9146671295166016e-05, "words": [{"start": 810.52, "end": 811.04, "word": "The", "probability": 0.050750732421875}, {"start": 811.04, "end": 811.24, "word": " light", "probability": 0.7314453125}, {"start": 811.24, "end": 811.46, "word": " has", "probability": 0.1873779296875}, {"start": 811.46, "end": 811.72, "word": " not", "probability": 0.8935546875}, {"start": 811.72, "end": 812.54, "word": " yet", "probability": 0.326416015625}, {"start": 812.54, "end": 813.42, "word": " reached", "probability": 0.806640625}, {"start": 813.42, "end": 814.38, "word": " the", "probability": 0.8193359375}, {"start": 814.38, "end": 814.58, "word": " surface", "probability": 0.426025390625}, {"start": 814.58, "end": 814.7, "word": " of", "probability": 0.94287109375}, {"start": 814.7, "end": 814.78, "word": " the", "probability": 0.9140625}, {"start": 814.78, "end": 815.02, "word": " lens,", "probability": 0.6650390625}, {"start": 815.18, "end": 815.58, "word": " but", "probability": 0.65673828125}, {"start": 815.58, "end": 817.04, "word": " we", "probability": 0.3857421875}, {"start": 817.04, "end": 817.38, "word": " chose", "probability": 0.347900390625}, {"start": 817.38, "end": 817.62, "word": " a", "probability": 0.90185546875}, {"start": 817.62, "end": 817.78, "word": " point", "probability": 0.8984375}, {"start": 817.78, "end": 818.02, "word": " from", "probability": 0.57666015625}, {"start": 818.02, "end": 821.14, "word": " the", "probability": 0.70751953125}, {"start": 821.14, "end": 821.54, "word": " gap", "probability": 0.400390625}, {"start": 821.54, "end": 828.24, "word": " The", "probability": 0.30078125}, {"start": 828.24, "end": 828.42, "word": " light", "probability": 0.8212890625}, {"start": 828.42, "end": 828.54, "word": " is", "probability": 0.358642578125}, {"start": 828.54, "end": 828.82, "word": " scattered", "probability": 0.349609375}, {"start": 828.82, "end": 828.98, "word": " in", "probability": 0.8642578125}, {"start": 828.98, "end": 829.28, "word": " all", "probability": 0.94921875}, {"start": 829.28, "end": 829.9, "word": " directions,", "probability": 0.8662109375}, {"start": 830.22, "end": 830.52, "word": " including", "probability": 0.646484375}, {"start": 830.52, "end": 830.8, "word": " the", "probability": 0.75146484375}, {"start": 830.8, "end": 831.18, "word": " rays", "probability": 0.80517578125}, {"start": 831.18, "end": 836.4, "word": " that", "probability": 0.5498046875}, {"start": 836.4, "end": 836.62, "word": " will", "probability": 0.6640625}, {"start": 836.62, "end": 836.92, "word": " enter", "probability": 0.83203125}, {"start": 836.92, "end": 837.26, "word": " the", "probability": 0.85107421875}, {"start": 837.26, "end": 837.6, "word": " lens", "probability": 0.859375}], "temperature": 1.0}, {"id": 34, "seek": 86471, "start": 838.77, "end": 864.71, "text": "we say at the point from the space that I will point to at this point at this point the vergence was equal to the vergence was equal to minus four diopters four diopters", "tokens": [826, 584, 412, 264, 935, 490, 264, 1901, 300, 286, 486, 935, 281, 412, 341, 935, 412, 341, 935, 264, 1306, 15260, 390, 2681, 281, 264, 1306, 15260, 390, 2681, 281, 3175, 1451, 1026, 404, 1559, 1451, 1026, 404, 1559], "avg_logprob": -0.508765243902439, "compression_ratio": 1.7789473684210526, "no_speech_prob": 1.0728836059570312e-06, "words": [{"start": 838.77, "end": 838.95, "word": "we", "probability": 0.2138671875}, {"start": 838.95, "end": 839.19, "word": " say", "probability": 0.60986328125}, {"start": 839.19, "end": 839.51, "word": " at", "probability": 0.33544921875}, {"start": 839.51, "end": 839.69, "word": " the", "probability": 0.666015625}, {"start": 839.69, "end": 839.99, "word": " point", "probability": 0.83984375}, {"start": 839.99, "end": 841.05, "word": " from", "probability": 0.1949462890625}, {"start": 841.05, "end": 841.25, "word": " the", "probability": 0.73583984375}, {"start": 841.25, "end": 841.69, "word": " space", "probability": 0.6259765625}, {"start": 841.69, "end": 842.19, "word": " that", "probability": 0.419921875}, {"start": 842.19, "end": 842.31, "word": " I", "probability": 0.7822265625}, {"start": 842.31, "end": 842.39, "word": " will", "probability": 0.488525390625}, {"start": 842.39, "end": 842.61, "word": " point", "probability": 0.568359375}, {"start": 842.61, "end": 842.95, "word": " to", "probability": 0.33837890625}, {"start": 842.95, "end": 843.19, "word": " at", "probability": 0.481689453125}, {"start": 843.19, "end": 843.55, "word": " this", "probability": 0.8955078125}, {"start": 843.55, "end": 844.55, "word": " point", "probability": 0.96875}, {"start": 844.55, "end": 844.97, "word": " at", "probability": 0.365234375}, {"start": 844.97, "end": 845.23, "word": " this", "probability": 0.9345703125}, {"start": 845.23, "end": 845.71, "word": " point", "probability": 0.9716796875}, {"start": 845.71, "end": 846.45, "word": " the", "probability": 0.385986328125}, {"start": 846.45, "end": 847.05, "word": " vergence", "probability": 0.630859375}, {"start": 847.05, "end": 847.19, "word": " was", "probability": 0.6318359375}, {"start": 847.19, "end": 847.67, "word": " equal", "probability": 0.6962890625}, {"start": 847.67, "end": 849.15, "word": " to", "probability": 0.43115234375}, {"start": 849.15, "end": 849.15, "word": " the", "probability": 0.389892578125}, {"start": 849.15, "end": 849.63, "word": " vergence", "probability": 0.840087890625}, {"start": 849.63, "end": 849.83, "word": " was", "probability": 0.26513671875}, {"start": 849.83, "end": 850.67, "word": " equal", "probability": 0.73876953125}, {"start": 850.67, "end": 851.79, "word": " to", "probability": 0.9013671875}, {"start": 851.79, "end": 857.07, "word": " minus", "probability": 0.546875}, {"start": 857.07, "end": 859.03, "word": " four", "probability": 0.62841796875}, {"start": 859.03, "end": 861.61, "word": " diopters", "probability": 0.7472330729166666}, {"start": 861.61, "end": 864.17, "word": " four", "probability": 0.74267578125}, {"start": 864.17, "end": 864.71, "word": " diopters", "probability": 0.9612630208333334}], "temperature": 1.0}, {"id": 35, "seek": 89358, "start": 865.58, "end": 893.58, "text": "we want to know how far the object is from this distance in space from this point, from this line of space how far the object is, we say as follows as the divergence of the distance the distance of the object away from this line is equal to the inverse of the divergence one over the divergence and equals", "tokens": [826, 528, 281, 458, 577, 1400, 264, 2657, 307, 490, 341, 4560, 294, 1901, 490, 341, 935, 11, 490, 341, 1622, 295, 1901, 577, 1400, 264, 2657, 307, 11, 321, 584, 382, 10002, 382, 264, 47387, 295, 264, 4560, 264, 4560, 295, 264, 2657, 1314, 490, 341, 1622, 307, 2681, 281, 264, 28653, 405, 295, 264, 47387, 472, 670, 264, 47387, 293, 6915], "avg_logprob": -0.5698242159560323, "compression_ratio": 2.089041095890411, "no_speech_prob": 2.5928020477294922e-05, "words": [{"start": 865.58, "end": 865.72, "word": "we", "probability": 0.30419921875}, {"start": 865.72, "end": 865.9, "word": " want", "probability": 0.273681640625}, {"start": 865.9, "end": 865.96, "word": " to", "probability": 0.9501953125}, {"start": 865.96, "end": 866.3, "word": " know", "probability": 0.82177734375}, {"start": 866.3, "end": 866.76, "word": " how", "probability": 0.71923828125}, {"start": 866.76, "end": 867.34, "word": " far", "probability": 0.59228515625}, {"start": 867.34, "end": 867.6, "word": " the", "probability": 0.2239990234375}, {"start": 867.6, "end": 867.96, "word": " object", "probability": 0.90771484375}, {"start": 867.96, "end": 868.22, "word": " is", "probability": 0.412109375}, {"start": 868.22, "end": 868.38, "word": " from", "probability": 0.7626953125}, {"start": 868.38, "end": 868.8, "word": " this", "probability": 0.72802734375}, {"start": 868.8, "end": 869.38, "word": " distance", "probability": 0.328857421875}, {"start": 869.38, "end": 869.84, "word": " in", "probability": 0.57861328125}, {"start": 869.84, "end": 870.18, "word": " space", "probability": 0.60693359375}, {"start": 870.18, "end": 870.66, "word": " from", "probability": 0.477783203125}, {"start": 870.66, "end": 870.96, "word": " this", "probability": 0.92724609375}, {"start": 870.96, "end": 871.34, "word": " point,", "probability": 0.91796875}, {"start": 871.54, "end": 871.56, "word": " from", "probability": 0.568359375}, {"start": 871.56, "end": 872.66, "word": " this", "probability": 0.85009765625}, {"start": 872.66, "end": 873.3, "word": " line", "probability": 0.7841796875}, {"start": 873.3, "end": 873.54, "word": " of", "probability": 0.373046875}, {"start": 873.54, "end": 874.0, "word": " space", "probability": 0.87939453125}, {"start": 874.0, "end": 874.6, "word": " how", "probability": 0.259765625}, {"start": 874.6, "end": 874.6, "word": " far", "probability": 0.8955078125}, {"start": 874.6, "end": 874.6, "word": " the", "probability": 0.487548828125}, {"start": 874.6, "end": 874.98, "word": " object", "probability": 0.9658203125}, {"start": 874.98, "end": 876.42, "word": " is,", "probability": 0.67822265625}, {"start": 876.7, "end": 876.82, "word": " we", "probability": 0.74658203125}, {"start": 876.82, "end": 877.02, "word": " say", "probability": 0.53857421875}, {"start": 877.02, "end": 877.26, "word": " as", "probability": 0.68408203125}, {"start": 877.26, "end": 877.64, "word": " follows", "probability": 0.7705078125}, {"start": 877.64, "end": 880.48, "word": " as", "probability": 0.41650390625}, {"start": 880.48, "end": 881.06, "word": " the", "probability": 0.37451171875}, {"start": 881.06, "end": 881.5, "word": " divergence", "probability": 0.5185546875}, {"start": 881.5, "end": 881.8, "word": " of", "probability": 0.1396484375}, {"start": 881.8, "end": 882.08, "word": " the", "probability": 0.56298828125}, {"start": 882.08, "end": 882.48, "word": " distance", "probability": 0.74853515625}, {"start": 882.48, "end": 882.64, "word": " the", "probability": 0.1693115234375}, {"start": 882.64, "end": 883.12, "word": " distance", "probability": 0.8955078125}, {"start": 883.12, "end": 884.78, "word": " of", "probability": 0.44970703125}, {"start": 884.78, "end": 885.02, "word": " the", "probability": 0.85498046875}, {"start": 885.02, "end": 885.48, "word": " object", "probability": 0.9189453125}, {"start": 885.48, "end": 886.06, "word": " away", "probability": 0.52001953125}, {"start": 886.06, "end": 886.48, "word": " from", "probability": 0.87841796875}, {"start": 886.48, "end": 886.8, "word": " this", "probability": 0.91796875}, {"start": 886.8, "end": 887.2, "word": " line", "probability": 0.923828125}, {"start": 887.2, "end": 887.84, "word": " is", "probability": 0.5703125}, {"start": 887.84, "end": 888.14, "word": " equal", "probability": 0.62158203125}, {"start": 888.14, "end": 888.22, "word": " to", "probability": 0.96240234375}, {"start": 888.22, "end": 888.3, "word": " the", "probability": 0.830078125}, {"start": 888.3, "end": 888.52, "word": " inverse", "probability": 0.341156005859375}, {"start": 888.52, "end": 888.7, "word": " of", "probability": 0.91845703125}, {"start": 888.7, "end": 888.78, "word": " the", "probability": 0.6025390625}, {"start": 888.78, "end": 889.1, "word": " divergence", "probability": 0.97314453125}, {"start": 889.1, "end": 889.54, "word": " one", "probability": 0.40625}, {"start": 889.54, "end": 890.04, "word": " over", "probability": 0.7236328125}, {"start": 890.04, "end": 890.88, "word": " the", "probability": 0.6103515625}, {"start": 890.88, "end": 891.24, "word": " divergence", "probability": 0.982421875}, {"start": 891.24, "end": 893.3, "word": " and", "probability": 0.49267578125}, {"start": 893.3, "end": 893.58, "word": " equals", "probability": 0.26123046875}], "temperature": 1.0}, {"id": 36, "seek": 91124, "start": 894.74, "end": 911.24, "text": "one over minus four, the diopter I will return to meter minus one meter minus one meter minus one", "tokens": [546, 670, 3175, 1451, 11, 264, 1026, 404, 391, 286, 486, 2736, 281, 9255, 3175, 472, 9255, 3175, 472, 9255, 3175, 472], "avg_logprob": -0.5227581418078878, "compression_ratio": 1.4696969696969697, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 894.74, "end": 895.26, "word": "one", "probability": 0.250244140625}, {"start": 895.26, "end": 895.76, "word": " over", "probability": 0.46728515625}, {"start": 895.76, "end": 898.4, "word": " minus", "probability": 0.62646484375}, {"start": 898.4, "end": 899.9, "word": " four,", "probability": 0.884765625}, {"start": 900.64, "end": 900.78, "word": " the", "probability": 0.31591796875}, {"start": 900.78, "end": 901.16, "word": " diopter", "probability": 0.8450520833333334}, {"start": 901.16, "end": 901.3, "word": " I", "probability": 0.501953125}, {"start": 901.3, "end": 901.38, "word": " will", "probability": 0.66748046875}, {"start": 901.38, "end": 901.62, "word": " return", "probability": 0.147216796875}, {"start": 901.62, "end": 901.88, "word": " to", "probability": 0.775390625}, {"start": 901.88, "end": 902.26, "word": " meter", "probability": 0.31787109375}, {"start": 902.26, "end": 902.58, "word": " minus", "probability": 0.86767578125}, {"start": 902.58, "end": 903.36, "word": " one", "probability": 0.9326171875}, {"start": 903.36, "end": 903.88, "word": " meter", "probability": 0.59912109375}, {"start": 903.88, "end": 904.16, "word": " minus", "probability": 0.962890625}, {"start": 904.16, "end": 905.06, "word": " one", "probability": 0.939453125}, {"start": 905.06, "end": 907.78, "word": " meter", "probability": 0.57763671875}, {"start": 907.78, "end": 910.34, "word": " minus", "probability": 0.97119140625}, {"start": 910.34, "end": 911.24, "word": " one", "probability": 0.93798828125}], "temperature": 1.0}, {"id": 37, "seek": 95404, "start": 928.56, "end": 954.04, "text": " Okay, and it equals 1 over minus 4 equals Now we enlarge it again equals", "tokens": [1033, 11, 293, 309, 6915, 502, 670, 3175, 1017, 6915, 823, 321, 31976, 432, 309, 797, 6915], "avg_logprob": -0.8836805820465088, "compression_ratio": 1.0895522388059702, "no_speech_prob": 3.5881996154785156e-05, "words": [{"start": 928.5600000000001, "end": 929.7, "word": " Okay,", "probability": 0.0460205078125}, {"start": 929.82, "end": 930.0, "word": " and", "probability": 0.371826171875}, {"start": 930.0, "end": 930.1, "word": " it", "probability": 0.54443359375}, {"start": 930.1, "end": 930.5, "word": " equals", "probability": 0.43798828125}, {"start": 930.5, "end": 938.74, "word": " 1", "probability": 0.472412109375}, {"start": 938.74, "end": 939.06, "word": " over", "probability": 0.300537109375}, {"start": 939.06, "end": 939.42, "word": " minus", "probability": 0.541015625}, {"start": 939.42, "end": 939.88, "word": " 4", "probability": 0.8193359375}, {"start": 939.88, "end": 941.42, "word": " equals", "probability": 0.669921875}, {"start": 941.42, "end": 942.24, "word": " Now", "probability": 0.1861572265625}, {"start": 942.24, "end": 942.46, "word": " we", "probability": 0.41796875}, {"start": 942.46, "end": 943.14, "word": " enlarge", "probability": 0.53106689453125}, {"start": 943.14, "end": 945.04, "word": " it", "probability": 0.513671875}, {"start": 945.04, "end": 949.18, "word": " again", "probability": 0.68359375}, {"start": 949.18, "end": 954.04, "word": " equals", "probability": 0.374267578125}], "temperature": 1.0}, {"id": 38, "seek": 97138, "start": 958.64, "end": 971.38, "text": "minus quarter meter and one meter minus one when you go up it becomes minus quarter meter here minus means", "tokens": [2367, 301, 6555, 9255, 293, 472, 9255, 3175, 472, 562, 291, 352, 493, 309, 3643, 3175, 6555, 9255, 510, 3175, 1355], "avg_logprob": -0.7052556655623696, "compression_ratio": 1.4324324324324325, "no_speech_prob": 0.00010275840759277344, "words": [{"start": 958.6400000000001, "end": 959.5600000000001, "word": "minus", "probability": 0.5633544921875}, {"start": 959.5600000000001, "end": 960.48, "word": " quarter", "probability": 0.39599609375}, {"start": 960.48, "end": 963.72, "word": " meter", "probability": 0.38037109375}, {"start": 963.72, "end": 964.54, "word": " and", "probability": 0.1434326171875}, {"start": 964.54, "end": 964.7, "word": " one", "probability": 0.1585693359375}, {"start": 964.7, "end": 964.84, "word": " meter", "probability": 0.59326171875}, {"start": 964.84, "end": 965.02, "word": " minus", "probability": 0.64111328125}, {"start": 965.02, "end": 965.5, "word": " one", "probability": 0.515625}, {"start": 965.5, "end": 965.7, "word": " when", "probability": 0.3955078125}, {"start": 965.7, "end": 965.9, "word": " you", "probability": 0.7216796875}, {"start": 965.9, "end": 966.08, "word": " go", "probability": 0.58154296875}, {"start": 966.08, "end": 966.52, "word": " up", "probability": 0.85693359375}, {"start": 966.52, "end": 966.68, "word": " it", "probability": 0.293212890625}, {"start": 966.68, "end": 966.96, "word": " becomes", "probability": 0.62109375}, {"start": 966.96, "end": 967.46, "word": " minus", "probability": 0.89208984375}, {"start": 967.46, "end": 967.72, "word": " quarter", "probability": 0.77490234375}, {"start": 967.72, "end": 968.28, "word": " meter", "probability": 0.83203125}, {"start": 968.28, "end": 968.88, "word": " here", "probability": 0.65673828125}, {"start": 968.88, "end": 969.44, "word": " minus", "probability": 0.9287109375}, {"start": 969.44, "end": 971.38, "word": " means", "probability": 0.297119140625}], "temperature": 1.0}, {"id": 39, "seek": 99724, "start": 972.5, "end": 997.24, "text": "the distance to the left because I want to calculate the distance I want the distance as long as the distance turned out to be minus then the distance of the object to the left of the line that I put in the space is a quarter of a meter while this minus is minus four diopters or minus four times minus one this is because of the fluctuating state of light I'm talking about virgins, virgins is the fluctuating state of light, light is fluctuating so I give it a minus sign", "tokens": [3322, 4560, 281, 264, 1411, 570, 286, 528, 281, 8873, 264, 4560, 286, 528, 264, 4560, 382, 938, 382, 264, 4560, 3574, 484, 281, 312, 3175, 550, 264, 4560, 295, 264, 2657, 281, 264, 1411, 295, 264, 1622, 300, 286, 829, 294, 264, 1901, 307, 257, 6555, 295, 257, 9255, 1339, 341, 3175, 307, 3175, 1451, 1026, 404, 1559, 420, 3175, 1451, 1413, 3175, 472, 341, 307, 570, 295, 264, 23448, 32438, 1785, 295, 1442, 286, 478, 1417, 466, 4107, 23320, 11, 4107, 23320, 307, 264, 23448, 32438, 1785, 295, 1442, 11, 1442, 307, 23448, 32438, 370, 286, 976, 309, 257, 3175, 1465], "avg_logprob": -0.4564302910405856, "compression_ratio": 2.1598173515981736, "no_speech_prob": 5.185604095458984e-06, "words": [{"start": 972.5, "end": 972.92, "word": "the", "probability": 0.0880126953125}, {"start": 972.92, "end": 973.28, "word": " distance", "probability": 0.7998046875}, {"start": 973.28, "end": 973.48, "word": " to", "probability": 0.382080078125}, {"start": 973.48, "end": 973.62, "word": " the", "probability": 0.86962890625}, {"start": 973.62, "end": 973.76, "word": " left", "probability": 0.81689453125}, {"start": 973.76, "end": 973.94, "word": " because", "probability": 0.320068359375}, {"start": 973.94, "end": 974.12, "word": " I", "probability": 0.84716796875}, {"start": 974.12, "end": 974.32, "word": " want", "probability": 0.6689453125}, {"start": 974.32, "end": 974.44, "word": " to", "probability": 0.93896484375}, {"start": 974.44, "end": 974.64, "word": " calculate", "probability": 0.767578125}, {"start": 974.64, "end": 974.82, "word": " the", "probability": 0.64404296875}, {"start": 974.82, "end": 975.14, "word": " distance", "probability": 0.939453125}, {"start": 975.14, "end": 975.26, "word": " I", "probability": 0.131103515625}, {"start": 975.26, "end": 975.5, "word": " want", "probability": 0.75048828125}, {"start": 975.5, "end": 975.62, "word": " the", "probability": 0.76220703125}, {"start": 975.62, "end": 975.92, "word": " distance", "probability": 0.94189453125}, {"start": 975.92, "end": 976.16, "word": " as", "probability": 0.48291015625}, {"start": 976.16, "end": 976.32, "word": " long", "probability": 0.67236328125}, {"start": 976.32, "end": 976.32, "word": " as", "probability": 0.96533203125}, {"start": 976.32, "end": 976.4, "word": " the", "probability": 0.7880859375}, {"start": 976.4, "end": 976.66, "word": " distance", "probability": 0.9521484375}, {"start": 976.66, "end": 976.9, "word": " turned", "probability": 0.1328125}, {"start": 976.9, "end": 977.02, "word": " out", "probability": 0.5439453125}, {"start": 977.02, "end": 977.1, "word": " to", "probability": 0.88232421875}, {"start": 977.1, "end": 977.18, "word": " be", "probability": 0.9296875}, {"start": 977.18, "end": 977.46, "word": " minus", "probability": 0.59423828125}, {"start": 977.46, "end": 978.3, "word": " then", "probability": 0.419921875}, {"start": 978.3, "end": 978.58, "word": " the", "probability": 0.8349609375}, {"start": 978.58, "end": 979.06, "word": " distance", "probability": 0.90869140625}, {"start": 979.06, "end": 979.46, "word": " of", "probability": 0.77099609375}, {"start": 979.46, "end": 979.68, "word": " the", "probability": 0.833984375}, {"start": 979.68, "end": 980.08, "word": " object", "probability": 0.93798828125}, {"start": 980.08, "end": 980.62, "word": " to", "probability": 0.6806640625}, {"start": 980.62, "end": 980.78, "word": " the", "probability": 0.90478515625}, {"start": 980.78, "end": 981.02, "word": " left", "probability": 0.92333984375}, {"start": 981.02, "end": 981.26, "word": " of", "probability": 0.93212890625}, {"start": 981.26, "end": 981.32, "word": " the", "probability": 0.90869140625}, {"start": 981.32, "end": 981.6, "word": " line", "probability": 0.90576171875}, {"start": 981.6, "end": 981.74, "word": " that", "probability": 0.6640625}, {"start": 981.74, "end": 981.92, "word": " I", "probability": 0.97314453125}, {"start": 981.92, "end": 982.2, "word": " put", "probability": 0.7158203125}, {"start": 982.2, "end": 982.42, "word": " in", "probability": 0.4814453125}, {"start": 982.42, "end": 982.54, "word": " the", "probability": 0.787109375}, {"start": 982.54, "end": 982.9, "word": " space", "probability": 0.413818359375}, {"start": 982.9, "end": 983.54, "word": " is", "probability": 0.394287109375}, {"start": 983.54, "end": 983.62, "word": " a", "probability": 0.57470703125}, {"start": 983.62, "end": 984.14, "word": " quarter", "probability": 0.7080078125}, {"start": 984.14, "end": 984.14, "word": " of", "probability": 0.365478515625}, {"start": 984.14, "end": 984.36, "word": " a", "probability": 0.9169921875}, {"start": 984.36, "end": 984.54, "word": " meter", "probability": 0.9375}, {"start": 984.54, "end": 985.04, "word": " while", "probability": 0.68408203125}, {"start": 985.04, "end": 985.44, "word": " this", "probability": 0.80615234375}, {"start": 985.44, "end": 985.92, "word": " minus", "probability": 0.85888671875}, {"start": 985.92, "end": 986.08, "word": " is", "probability": 0.2398681640625}, {"start": 986.08, "end": 986.44, "word": " minus", "probability": 0.7421875}, {"start": 986.44, "end": 986.9, "word": " four", "probability": 0.70751953125}, {"start": 986.9, "end": 987.42, "word": " diopters", "probability": 0.7267252604166666}, {"start": 987.42, "end": 987.6, "word": " or", "probability": 0.8837890625}, {"start": 987.6, "end": 987.92, "word": " minus", "probability": 0.8916015625}, {"start": 987.92, "end": 988.44, "word": " four", "probability": 0.85009765625}, {"start": 988.44, "end": 988.62, "word": " times", "probability": 0.2354736328125}, {"start": 988.62, "end": 988.84, "word": " minus", "probability": 0.74560546875}, {"start": 988.84, "end": 989.14, "word": " one", "probability": 0.91357421875}, {"start": 989.14, "end": 989.36, "word": " this", "probability": 0.3271484375}, {"start": 989.36, "end": 989.58, "word": " is", "probability": 0.5009765625}, {"start": 989.58, "end": 989.9, "word": " because", "probability": 0.525390625}, {"start": 989.9, "end": 990.46, "word": " of", "probability": 0.57666015625}, {"start": 990.46, "end": 990.52, "word": " the", "probability": 0.8505859375}, {"start": 990.52, "end": 991.18, "word": " fluctuating", "probability": 0.29058837890625}, {"start": 991.18, "end": 991.18, "word": " state", "probability": 0.69580078125}, {"start": 991.18, "end": 991.54, "word": " of", "probability": 0.943359375}, {"start": 991.54, "end": 991.84, "word": " light", "probability": 0.61181640625}, {"start": 991.84, "end": 992.46, "word": " I'm", "probability": 0.6064453125}, {"start": 992.46, "end": 992.64, "word": " talking", "probability": 0.83544921875}, {"start": 992.64, "end": 992.86, "word": " about", "probability": 0.90869140625}, {"start": 992.86, "end": 993.38, "word": " virgins,", "probability": 0.5618896484375}, {"start": 993.52, "end": 993.9, "word": " virgins", "probability": 0.6868896484375}, {"start": 993.9, "end": 994.08, "word": " is", "probability": 0.587890625}, {"start": 994.08, "end": 994.18, "word": " the", "probability": 0.69482421875}, {"start": 994.18, "end": 994.96, "word": " fluctuating", "probability": 0.933837890625}, {"start": 994.96, "end": 994.96, "word": " state", "probability": 0.88916015625}, {"start": 994.96, "end": 995.16, "word": " of", "probability": 0.93310546875}, {"start": 995.16, "end": 995.36, "word": " light,", "probability": 0.86962890625}, {"start": 995.44, "end": 995.62, "word": " light", "probability": 0.60205078125}, {"start": 995.62, "end": 995.74, "word": " is", "probability": 0.806640625}, {"start": 995.74, "end": 996.18, "word": " fluctuating", "probability": 0.7099609375}, {"start": 996.18, "end": 996.36, "word": " so", "probability": 0.3193359375}, {"start": 996.36, "end": 996.52, "word": " I", "probability": 0.81005859375}, {"start": 996.52, "end": 996.66, "word": " give", "probability": 0.798828125}, {"start": 996.66, "end": 996.84, "word": " it", "probability": 0.343994140625}, {"start": 996.84, "end": 996.84, "word": " a", "probability": 0.8408203125}, {"start": 996.84, "end": 996.92, "word": " minus", "probability": 0.62646484375}, {"start": 996.92, "end": 997.24, "word": " sign", "probability": 0.7744140625}], "temperature": 1.0}, {"id": 40, "seek": 101934, "start": 998.1, "end": 1019.34, "text": "فإذا إذا عرفت المسافة بقدر أعرف ال versions بتاع ال light و إذا عرفت ال versions بقدر أعرف المسافة بتاعة ال object أو حتى المسافة بتاعة ال image فبالتالي for convenience عشان يكون الأمر أسهل في التعبير بدل ما نضل نقول متر قص ناقص واحد يعني نلفظ الأربع كلمات", "tokens": [5172, 28814, 15730, 11933, 15730, 6225, 28480, 2655, 9673, 3794, 31845, 3660, 4724, 28543, 2288, 5551, 3615, 28480, 2423, 9606, 39894, 45761, 2423, 1442, 4032, 11933, 15730, 6225, 28480, 2655, 2423, 9606, 4724, 28543, 2288, 5551, 3615, 28480, 9673, 3794, 31845, 3660, 39894, 995, 27884, 2423, 2657, 34051, 11331, 49975, 9673, 3794, 31845, 3660, 39894, 995, 27884, 2423, 3256, 6156, 3555, 6027, 2655, 6027, 1829, 337, 19283, 6225, 8592, 7649, 7251, 30544, 16247, 29973, 5551, 3794, 3224, 1211, 8978, 16712, 3615, 3555, 13546, 47525, 1211, 19446, 8717, 11242, 1211, 8717, 39648, 44650, 2288, 12174, 9381, 8717, 995, 4587, 9381, 36764, 24401, 37495, 22653, 8717, 46538, 19913, 16247, 25513, 3615, 9122, 19528, 9307], "avg_logprob": -0.11476769700514532, "compression_ratio": 1.8584070796460177, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 998.1, "end": 998.5, "word": "فإذا", "probability": 0.6259765625}, {"start": 998.5, "end": 999.04, "word": " إذا", "probability": 0.923095703125}, {"start": 999.04, "end": 999.4, "word": " عرفت", "probability": 0.990234375}, {"start": 999.4, "end": 999.98, "word": " المسافة", "probability": 0.9798583984375}, {"start": 999.98, "end": 1000.34, "word": " بقدر", "probability": 0.9208984375}, {"start": 1000.34, "end": 1000.62, "word": " أعرف", "probability": 0.9729817708333334}, {"start": 1000.62, "end": 1000.8, "word": " ال", "probability": 0.9267578125}, {"start": 1000.8, "end": 1001.2, "word": " versions", "probability": 0.2374267578125}, {"start": 1001.2, "end": 1001.48, "word": " بتاع", "probability": 0.94873046875}, {"start": 1001.48, "end": 1001.58, "word": " ال", "probability": 0.9794921875}, {"start": 1001.58, "end": 1001.82, "word": " light", "probability": 0.9111328125}, {"start": 1001.82, "end": 1001.96, "word": " و", "probability": 0.82421875}, {"start": 1001.96, "end": 1002.04, "word": " إذا", "probability": 0.755615234375}, {"start": 1002.04, "end": 1002.36, "word": " عرفت", "probability": 0.9925130208333334}, {"start": 1002.36, "end": 1002.46, "word": " ال", "probability": 0.98095703125}, {"start": 1002.46, "end": 1002.88, "word": " versions", "probability": 0.9208984375}, {"start": 1002.88, "end": 1003.42, "word": " بقدر", "probability": 0.9874674479166666}, {"start": 1003.42, "end": 1003.84, "word": " أعرف", "probability": 0.990234375}, {"start": 1003.84, "end": 1005.52, "word": " المسافة", "probability": 0.9764404296875}, {"start": 1005.52, "end": 1006.32, "word": " بتاعة", "probability": 0.837890625}, {"start": 1006.32, "end": 1006.88, "word": " ال", "probability": 0.98779296875}, {"start": 1006.88, "end": 1007.26, "word": " object", "probability": 0.98779296875}, {"start": 1007.26, "end": 1007.5, "word": " أو", "probability": 0.92041015625}, {"start": 1007.5, "end": 1007.86, "word": " حتى", "probability": 0.9248046875}, {"start": 1007.86, "end": 1008.46, "word": " المسافة", "probability": 0.983154296875}, {"start": 1008.46, "end": 1008.9, "word": " بتاعة", "probability": 0.9327799479166666}, {"start": 1008.9, "end": 1009.6, "word": " ال", "probability": 0.9814453125}, {"start": 1009.6, "end": 1009.92, "word": " image", "probability": 0.95068359375}, {"start": 1009.92, "end": 1011.98, "word": " فبالتالي", "probability": 0.9269205729166666}, {"start": 1011.98, "end": 1012.42, "word": " for", "probability": 0.623046875}, {"start": 1012.42, "end": 1012.94, "word": " convenience", "probability": 0.9072265625}, {"start": 1012.94, "end": 1013.46, "word": " عشان", "probability": 0.9876302083333334}, {"start": 1013.46, "end": 1013.68, "word": " يكون", "probability": 0.99365234375}, {"start": 1013.68, "end": 1014.02, "word": " الأمر", "probability": 0.8955078125}, {"start": 1014.02, "end": 1014.5, "word": " أسهل", "probability": 0.9866943359375}, {"start": 1014.5, "end": 1014.62, "word": " في", "probability": 0.94775390625}, {"start": 1014.62, "end": 1015.1, "word": " التعبير", "probability": 0.9884033203125}, {"start": 1015.1, "end": 1015.36, "word": " بدل", "probability": 0.927734375}, {"start": 1015.36, "end": 1015.46, "word": " ما", "probability": 0.48095703125}, {"start": 1015.46, "end": 1015.68, "word": " نضل", "probability": 0.8199869791666666}, {"start": 1015.68, "end": 1015.96, "word": " نقول", "probability": 0.752685546875}, {"start": 1015.96, "end": 1016.52, "word": " متر", "probability": 0.661865234375}, {"start": 1016.52, "end": 1016.9, "word": " قص", "probability": 0.746337890625}, {"start": 1016.9, "end": 1017.46, "word": " ناقص", "probability": 0.9398193359375}, {"start": 1017.46, "end": 1017.84, "word": " واحد", "probability": 0.98388671875}, {"start": 1017.84, "end": 1018.0, "word": " يعني", "probability": 0.811767578125}, {"start": 1018.0, "end": 1018.42, "word": " نلفظ", "probability": 0.95458984375}, {"start": 1018.42, "end": 1018.8, "word": " الأربع", "probability": 0.9295247395833334}, {"start": 1018.8, "end": 1019.34, "word": " كلمات", "probability": 0.9641927083333334}], "temperature": 1.0}, {"id": 41, "seek": 104186, "start": 1020.43, "end": 1041.87, "text": "العلماء اتفقوا انه كلمة meter قص ناقص واحد بدهم يعطوها كلمة او يسموها باسم diopter ويرمزولها بالرمز D As light travels away from an object point or toward an image point, its divergence constantly changes كل ما سافر بعيدا عن ال object", "tokens": [6027, 3615, 19528, 16606, 1975, 2655, 5172, 4587, 14407, 16472, 3224, 9122, 19528, 3660, 9255, 12174, 9381, 8717, 995, 4587, 9381, 36764, 24401, 47525, 16095, 7251, 3615, 9566, 2407, 11296, 9122, 19528, 3660, 1975, 2407, 7251, 38251, 2407, 11296, 4724, 32277, 2304, 1026, 404, 391, 4032, 13546, 2304, 11622, 12610, 11296, 20666, 2288, 2304, 11622, 413, 1018, 1442, 19863, 1314, 490, 364, 2657, 935, 420, 7361, 364, 3256, 935, 11, 1080, 47387, 6460, 2962, 28242, 19446, 8608, 31845, 2288, 45030, 25708, 995, 18871, 2423, 2657], "avg_logprob": -0.21547964752413507, "compression_ratio": 1.4, "no_speech_prob": 0.0, "words": [{"start": 1020.43, "end": 1020.91, "word": "العلماء", "probability": 0.8089599609375}, {"start": 1020.91, "end": 1021.33, "word": " اتفقوا", "probability": 0.87900390625}, {"start": 1021.33, "end": 1021.51, "word": " انه", "probability": 0.5458984375}, {"start": 1021.51, "end": 1021.87, "word": " كلمة", "probability": 0.95703125}, {"start": 1021.87, "end": 1022.23, "word": " meter", "probability": 0.440185546875}, {"start": 1022.23, "end": 1022.49, "word": " قص", "probability": 0.62890625}, {"start": 1022.49, "end": 1022.91, "word": " ناقص", "probability": 0.778656005859375}, {"start": 1022.91, "end": 1023.29, "word": " واحد", "probability": 0.98291015625}, {"start": 1023.29, "end": 1024.19, "word": " بدهم", "probability": 0.7135009765625}, {"start": 1024.19, "end": 1024.49, "word": " يعطوها", "probability": 0.746484375}, {"start": 1024.49, "end": 1024.95, "word": " كلمة", "probability": 0.97900390625}, {"start": 1024.95, "end": 1025.35, "word": " او", "probability": 0.847412109375}, {"start": 1025.35, "end": 1025.89, "word": " يسموها", "probability": 0.9842529296875}, {"start": 1025.89, "end": 1026.23, "word": " باسم", "probability": 0.986328125}, {"start": 1026.23, "end": 1026.87, "word": " diopter", "probability": 0.7992350260416666}, {"start": 1026.87, "end": 1028.61, "word": " ويرمزولها", "probability": 0.9180501302083334}, {"start": 1028.61, "end": 1029.17, "word": " بالرمز", "probability": 0.960693359375}, {"start": 1029.17, "end": 1029.43, "word": " D", "probability": 0.55322265625}, {"start": 1029.43, "end": 1030.05, "word": " As", "probability": 0.55029296875}, {"start": 1030.05, "end": 1030.43, "word": " light", "probability": 0.9130859375}, {"start": 1030.43, "end": 1031.07, "word": " travels", "probability": 0.8271484375}, {"start": 1031.07, "end": 1031.81, "word": " away", "probability": 0.8994140625}, {"start": 1031.81, "end": 1032.13, "word": " from", "probability": 0.90478515625}, {"start": 1032.13, "end": 1032.47, "word": " an", "probability": 0.95166015625}, {"start": 1032.47, "end": 1032.89, "word": " object", "probability": 0.97412109375}, {"start": 1032.89, "end": 1033.43, "word": " point", "probability": 0.97265625}, {"start": 1033.43, "end": 1034.29, "word": " or", "probability": 0.82080078125}, {"start": 1034.29, "end": 1034.73, "word": " toward", "probability": 0.53466796875}, {"start": 1034.73, "end": 1035.07, "word": " an", "probability": 0.86865234375}, {"start": 1035.07, "end": 1035.49, "word": " image", "probability": 0.94091796875}, {"start": 1035.49, "end": 1035.97, "word": " point,", "probability": 0.97705078125}, {"start": 1036.39, "end": 1036.63, "word": " its", "probability": 0.87744140625}, {"start": 1036.63, "end": 1037.19, "word": " divergence", "probability": 0.3955078125}, {"start": 1037.19, "end": 1038.27, "word": " constantly", "probability": 0.853515625}, {"start": 1038.27, "end": 1038.93, "word": " changes", "probability": 0.8916015625}, {"start": 1038.93, "end": 1039.57, "word": " كل", "probability": 0.35546875}, {"start": 1039.57, "end": 1039.85, "word": " ما", "probability": 0.83447265625}, {"start": 1039.85, "end": 1040.71, "word": " سافر", "probability": 0.9314778645833334}, {"start": 1040.71, "end": 1041.25, "word": " بعيدا", "probability": 0.9625651041666666}, {"start": 1041.25, "end": 1041.41, "word": " عن", "probability": 0.98779296875}, {"start": 1041.41, "end": 1041.55, "word": " ال", "probability": 0.9501953125}, {"start": 1041.55, "end": 1041.87, "word": " object", "probability": 0.71875}], "temperature": 1.0}, {"id": 42, "seek": 106744, "start": 1042.52, "end": 1067.44, "text": "Or towards the image, the vergence of the image changes, why? Because the distance changes and as long as the vergence and the distance have a relation, then it is true that it is opposite, but if one changes, the other will change, if one changes, because if the distance changes, the vergence of light must change Let's come here to an example, we say as follows", "tokens": [21520, 281, 4151, 7800, 82, 264, 3256, 11, 264, 1306, 15260, 295, 264, 3256, 2962, 11, 983, 30, 1436, 264, 4560, 2962, 293, 382, 938, 382, 264, 1306, 15260, 293, 264, 4560, 362, 257, 9721, 11, 550, 309, 307, 2074, 300, 309, 307, 6182, 11, 457, 498, 472, 2962, 11, 264, 661, 486, 1319, 11, 498, 472, 2962, 11, 570, 498, 264, 4560, 2962, 11, 264, 1306, 15260, 295, 1442, 1633, 1319, 961, 311, 808, 510, 281, 364, 1365, 11, 321, 584, 382, 10002], "avg_logprob": -0.45441176891326907, "compression_ratio": 1.8860103626943006, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1042.52, "end": 1042.92, "word": "Or", "probability": 0.57177734375}, {"start": 1042.92, "end": 1044.22, "word": " towards", "probability": 0.6318817138671875}, {"start": 1044.22, "end": 1044.34, "word": " the", "probability": 0.8837890625}, {"start": 1044.34, "end": 1044.72, "word": " image,", "probability": 0.91455078125}, {"start": 1045.36, "end": 1046.02, "word": " the", "probability": 0.55859375}, {"start": 1046.02, "end": 1046.5, "word": " vergence", "probability": 0.60400390625}, {"start": 1046.5, "end": 1046.66, "word": " of", "probability": 0.454345703125}, {"start": 1046.66, "end": 1046.68, "word": " the", "probability": 0.411865234375}, {"start": 1046.68, "end": 1047.54, "word": " image", "probability": 0.53271484375}, {"start": 1047.54, "end": 1047.7, "word": " changes,", "probability": 0.52197265625}, {"start": 1048.1, "end": 1048.48, "word": " why?", "probability": 0.382080078125}, {"start": 1048.6, "end": 1048.8, "word": " Because", "probability": 0.7529296875}, {"start": 1048.8, "end": 1048.96, "word": " the", "probability": 0.72314453125}, {"start": 1048.96, "end": 1049.28, "word": " distance", "probability": 0.853515625}, {"start": 1049.28, "end": 1049.88, "word": " changes", "probability": 0.5302734375}, {"start": 1049.88, "end": 1050.38, "word": " and", "probability": 0.395751953125}, {"start": 1050.38, "end": 1050.72, "word": " as", "probability": 0.72119140625}, {"start": 1050.72, "end": 1051.14, "word": " long", "probability": 0.8203125}, {"start": 1051.14, "end": 1051.34, "word": " as", "probability": 0.96826171875}, {"start": 1051.34, "end": 1051.5, "word": " the", "probability": 0.833984375}, {"start": 1051.5, "end": 1052.1, "word": " vergence", "probability": 0.823486328125}, {"start": 1052.1, "end": 1052.56, "word": " and", "probability": 0.83935546875}, {"start": 1052.56, "end": 1052.68, "word": " the", "probability": 0.34765625}, {"start": 1052.68, "end": 1053.04, "word": " distance", "probability": 0.9501953125}, {"start": 1053.04, "end": 1053.58, "word": " have", "probability": 0.360107421875}, {"start": 1053.58, "end": 1053.76, "word": " a", "probability": 0.59716796875}, {"start": 1053.76, "end": 1054.08, "word": " relation,", "probability": 0.482421875}, {"start": 1054.26, "end": 1054.52, "word": " then", "probability": 0.449462890625}, {"start": 1054.52, "end": 1054.9, "word": " it", "probability": 0.3984375}, {"start": 1054.9, "end": 1054.92, "word": " is", "probability": 0.470458984375}, {"start": 1054.92, "end": 1055.06, "word": " true", "probability": 0.7236328125}, {"start": 1055.06, "end": 1055.26, "word": " that", "probability": 0.8212890625}, {"start": 1055.26, "end": 1055.34, "word": " it", "probability": 0.445068359375}, {"start": 1055.34, "end": 1055.36, "word": " is", "probability": 0.79638671875}, {"start": 1055.36, "end": 1055.98, "word": " opposite,", "probability": 0.334228515625}, {"start": 1056.12, "end": 1056.38, "word": " but", "probability": 0.88671875}, {"start": 1056.38, "end": 1056.96, "word": " if", "probability": 0.93408203125}, {"start": 1056.96, "end": 1057.62, "word": " one", "probability": 0.87255859375}, {"start": 1057.62, "end": 1057.62, "word": " changes,", "probability": 0.75927734375}, {"start": 1057.96, "end": 1057.96, "word": " the", "probability": 0.80810546875}, {"start": 1057.96, "end": 1057.96, "word": " other", "probability": 0.822265625}, {"start": 1057.96, "end": 1057.96, "word": " will", "probability": 0.56591796875}, {"start": 1057.96, "end": 1058.72, "word": " change,", "probability": 0.81201171875}, {"start": 1059.22, "end": 1059.38, "word": " if", "probability": 0.83203125}, {"start": 1059.38, "end": 1059.98, "word": " one", "probability": 0.8837890625}, {"start": 1059.98, "end": 1059.98, "word": " changes,", "probability": 0.837890625}, {"start": 1060.08, "end": 1060.16, "word": " because", "probability": 0.50439453125}, {"start": 1060.16, "end": 1060.32, "word": " if", "probability": 0.8681640625}, {"start": 1060.32, "end": 1060.8, "word": " the", "probability": 0.88232421875}, {"start": 1060.8, "end": 1061.22, "word": " distance", "probability": 0.9501953125}, {"start": 1061.22, "end": 1061.24, "word": " changes,", "probability": 0.53955078125}, {"start": 1061.68, "end": 1062.68, "word": " the", "probability": 0.53759765625}, {"start": 1062.68, "end": 1064.48, "word": " vergence", "probability": 0.935302734375}, {"start": 1064.48, "end": 1064.88, "word": " of", "probability": 0.79345703125}, {"start": 1064.88, "end": 1065.24, "word": " light", "probability": 0.59521484375}, {"start": 1065.24, "end": 1065.24, "word": " must", "probability": 0.68017578125}, {"start": 1065.24, "end": 1065.24, "word": " change", "probability": 0.82275390625}, {"start": 1065.24, "end": 1065.7, "word": " Let's", "probability": 0.608642578125}, {"start": 1065.7, "end": 1065.8, "word": " come", "probability": 0.403076171875}, {"start": 1065.8, "end": 1065.96, "word": " here", "probability": 0.724609375}, {"start": 1065.96, "end": 1066.02, "word": " to", "probability": 0.791015625}, {"start": 1066.02, "end": 1066.42, "word": " an", "probability": 0.84423828125}, {"start": 1066.42, "end": 1066.42, "word": " example,", "probability": 0.97607421875}, {"start": 1066.58, "end": 1066.76, "word": " we", "probability": 0.59912109375}, {"start": 1066.76, "end": 1066.94, "word": " say", "probability": 0.82421875}, {"start": 1066.94, "end": 1067.12, "word": " as", "probability": 0.81201171875}, {"start": 1067.12, "end": 1067.44, "word": " follows", "probability": 0.7744140625}], "temperature": 1.0}, {"id": 43, "seek": 109478, "start": 1072.42, "end": 1094.78, "text": "On a distance of 10 cm, divergence is minus 10 diopters 10 cm is 1 out of 10 meters, if you invert it, if you invert this distance which is 1 out of 10 meters, 1 out of 1 out of 10 meters, you get 10 diopters Why did we put minus? Because the light is divergent, divergent, okay? Divergent Okay, on a distance of, for example, a quarter of a meter", "tokens": [11747, 257, 4560, 295, 1266, 14668, 11, 47387, 307, 3175, 1266, 1026, 404, 1559, 1266, 14668, 307, 502, 484, 295, 1266, 8146, 11, 498, 291, 33966, 309, 11, 498, 291, 33966, 341, 4560, 597, 307, 502, 484, 295, 1266, 8146, 11, 502, 484, 295, 502, 484, 295, 1266, 8146, 11, 291, 483, 1266, 1026, 404, 1559, 1545, 630, 321, 829, 3175, 30, 1436, 264, 1442, 307, 18558, 6930, 11, 18558, 6930, 11, 1392, 30, 413, 1837, 6930, 1033, 11, 322, 257, 4560, 295, 11, 337, 1365, 11, 257, 6555, 295, 257, 9255], "avg_logprob": -0.5342741730392621, "compression_ratio": 1.949438202247191, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1072.42, "end": 1072.9, "word": "On", "probability": 0.10888671875}, {"start": 1072.9, "end": 1073.04, "word": " a", "probability": 0.52734375}, {"start": 1073.04, "end": 1073.2, "word": " distance", "probability": 0.55029296875}, {"start": 1073.2, "end": 1073.28, "word": " of", "probability": 0.90625}, {"start": 1073.28, "end": 1073.56, "word": " 10", "probability": 0.8427734375}, {"start": 1073.56, "end": 1074.08, "word": " cm,", "probability": 0.489013671875}, {"start": 1074.26, "end": 1074.68, "word": " divergence", "probability": 0.64208984375}, {"start": 1074.68, "end": 1074.94, "word": " is", "probability": 0.387939453125}, {"start": 1074.94, "end": 1075.3, "word": " minus", "probability": 0.1947021484375}, {"start": 1075.3, "end": 1075.78, "word": " 10", "probability": 0.87890625}, {"start": 1075.78, "end": 1076.54, "word": " diopters", "probability": 0.7233072916666666}, {"start": 1076.54, "end": 1077.36, "word": " 10", "probability": 0.453857421875}, {"start": 1077.36, "end": 1077.94, "word": " cm", "probability": 0.7177734375}, {"start": 1077.94, "end": 1078.12, "word": " is", "probability": 0.5537109375}, {"start": 1078.12, "end": 1078.32, "word": " 1", "probability": 0.58056640625}, {"start": 1078.32, "end": 1078.54, "word": " out", "probability": 0.413330078125}, {"start": 1078.54, "end": 1078.54, "word": " of", "probability": 0.9521484375}, {"start": 1078.54, "end": 1078.84, "word": " 10", "probability": 0.95654296875}, {"start": 1078.84, "end": 1079.2, "word": " meters,", "probability": 0.7646484375}, {"start": 1079.42, "end": 1079.58, "word": " if", "probability": 0.315185546875}, {"start": 1079.58, "end": 1079.64, "word": " you", "probability": 0.53515625}, {"start": 1079.64, "end": 1080.04, "word": " invert", "probability": 0.1243896484375}, {"start": 1080.04, "end": 1080.38, "word": " it,", "probability": 0.52734375}, {"start": 1080.5, "end": 1081.16, "word": " if", "probability": 0.18505859375}, {"start": 1081.16, "end": 1081.2, "word": " you", "probability": 0.9384765625}, {"start": 1081.2, "end": 1081.4, "word": " invert", "probability": 0.68701171875}, {"start": 1081.4, "end": 1081.58, "word": " this", "probability": 0.59716796875}, {"start": 1081.58, "end": 1081.9, "word": " distance", "probability": 0.80419921875}, {"start": 1081.9, "end": 1082.18, "word": " which", "probability": 0.39990234375}, {"start": 1082.18, "end": 1082.28, "word": " is", "probability": 0.92822265625}, {"start": 1082.28, "end": 1082.5, "word": " 1", "probability": 0.94677734375}, {"start": 1082.5, "end": 1082.7, "word": " out", "probability": 0.72509765625}, {"start": 1082.7, "end": 1082.72, "word": " of", "probability": 0.96728515625}, {"start": 1082.72, "end": 1082.96, "word": " 10", "probability": 0.96240234375}, {"start": 1082.96, "end": 1083.26, "word": " meters,", "probability": 0.89501953125}, {"start": 1083.36, "end": 1083.6, "word": " 1", "probability": 0.73828125}, {"start": 1083.6, "end": 1083.86, "word": " out", "probability": 0.42919921875}, {"start": 1083.86, "end": 1083.94, "word": " of", "probability": 0.9697265625}, {"start": 1083.94, "end": 1084.1, "word": " 1", "probability": 0.5625}, {"start": 1084.1, "end": 1084.38, "word": " out", "probability": 0.456298828125}, {"start": 1084.38, "end": 1084.38, "word": " of", "probability": 0.96826171875}, {"start": 1084.38, "end": 1084.62, "word": " 10", "probability": 0.96630859375}, {"start": 1084.62, "end": 1084.9, "word": " meters,", "probability": 0.912109375}, {"start": 1085.04, "end": 1085.04, "word": " you", "probability": 0.2330322265625}, {"start": 1085.04, "end": 1085.24, "word": " get", "probability": 0.5419921875}, {"start": 1085.24, "end": 1085.6, "word": " 10", "probability": 0.794921875}, {"start": 1085.6, "end": 1086.04, "word": " diopters", "probability": 0.95703125}, {"start": 1086.04, "end": 1086.3, "word": " Why", "probability": 0.1632080078125}, {"start": 1086.3, "end": 1086.4, "word": " did", "probability": 0.6396484375}, {"start": 1086.4, "end": 1086.4, "word": " we", "probability": 0.88720703125}, {"start": 1086.4, "end": 1086.56, "word": " put", "probability": 0.6962890625}, {"start": 1086.56, "end": 1087.12, "word": " minus?", "probability": 0.72265625}, {"start": 1087.38, "end": 1087.78, "word": " Because", "probability": 0.78173828125}, {"start": 1087.78, "end": 1088.02, "word": " the", "probability": 0.346435546875}, {"start": 1088.02, "end": 1088.06, "word": " light", "probability": 0.74169921875}, {"start": 1088.06, "end": 1088.2, "word": " is", "probability": 0.85400390625}, {"start": 1088.2, "end": 1088.7, "word": " divergent,", "probability": 0.56976318359375}, {"start": 1088.72, "end": 1089.4, "word": " divergent,", "probability": 0.581787109375}, {"start": 1089.72, "end": 1089.94, "word": " okay?", "probability": 0.48095703125}, {"start": 1090.24, "end": 1090.72, "word": " Divergent", "probability": 0.7239583333333334}, {"start": 1090.72, "end": 1091.18, "word": " Okay,", "probability": 0.2939453125}, {"start": 1091.36, "end": 1091.64, "word": " on", "probability": 0.59375}, {"start": 1091.64, "end": 1091.78, "word": " a", "probability": 0.95849609375}, {"start": 1091.78, "end": 1092.02, "word": " distance", "probability": 0.92822265625}, {"start": 1092.02, "end": 1092.12, "word": " of,", "probability": 0.79248046875}, {"start": 1092.18, "end": 1092.26, "word": " for", "probability": 0.896484375}, {"start": 1092.26, "end": 1092.52, "word": " example,", "probability": 0.95068359375}, {"start": 1093.08, "end": 1094.2, "word": " a", "probability": 0.33837890625}, {"start": 1094.2, "end": 1094.42, "word": " quarter", "probability": 0.9052734375}, {"start": 1094.42, "end": 1094.5, "word": " of", "probability": 0.67431640625}, {"start": 1094.5, "end": 1094.6, "word": " a", "probability": 0.908203125}, {"start": 1094.6, "end": 1094.78, "word": " meter", "probability": 0.92578125}], "temperature": 1.0}, {"id": 44, "seek": 111151, "start": 1095.53, "end": 1111.51, "text": "one over a quarter equals four, this is a diopter, why do we put a minus on it? Because the light is distorted and so on and so forth, therefore, the more the distance that the light travels away from the object, the more the divergence of it changes", "tokens": [546, 670, 257, 6555, 6915, 1451, 11, 341, 307, 257, 1026, 404, 391, 11, 983, 360, 321, 829, 257, 3175, 322, 309, 30, 1436, 264, 1442, 307, 33431, 293, 370, 322, 293, 370, 5220, 11, 4412, 11, 264, 544, 264, 4560, 300, 264, 1442, 19863, 1314, 490, 264, 2657, 11, 264, 544, 264, 47387, 295, 309, 2962], "avg_logprob": -0.7176724292080978, "compression_ratio": 1.5923566878980893, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1095.53, "end": 1095.97, "word": "one", "probability": 0.424072265625}, {"start": 1095.97, "end": 1096.35, "word": " over", "probability": 0.2467041015625}, {"start": 1096.35, "end": 1096.51, "word": " a", "probability": 0.349853515625}, {"start": 1096.51, "end": 1096.65, "word": " quarter", "probability": 0.84912109375}, {"start": 1096.65, "end": 1097.07, "word": " equals", "probability": 0.59619140625}, {"start": 1097.07, "end": 1097.59, "word": " four,", "probability": 0.826171875}, {"start": 1097.71, "end": 1098.13, "word": " this", "probability": 0.1697998046875}, {"start": 1098.13, "end": 1098.19, "word": " is", "probability": 0.822265625}, {"start": 1098.19, "end": 1098.21, "word": " a", "probability": 0.17578125}, {"start": 1098.21, "end": 1098.55, "word": " diopter,", "probability": 0.7623697916666666}, {"start": 1098.85, "end": 1099.07, "word": " why", "probability": 0.52294921875}, {"start": 1099.07, "end": 1099.31, "word": " do", "probability": 0.1700439453125}, {"start": 1099.31, "end": 1099.41, "word": " we", "probability": 0.8349609375}, {"start": 1099.41, "end": 1099.41, "word": " put", "probability": 0.56103515625}, {"start": 1099.41, "end": 1099.63, "word": " a", "probability": 0.290771484375}, {"start": 1099.63, "end": 1099.85, "word": " minus", "probability": 0.92724609375}, {"start": 1099.85, "end": 1099.85, "word": " on", "probability": 0.395751953125}, {"start": 1099.85, "end": 1099.85, "word": " it?", "probability": 0.8310546875}, {"start": 1099.99, "end": 1100.15, "word": " Because", "probability": 0.578125}, {"start": 1100.15, "end": 1100.37, "word": " the", "probability": 0.50244140625}, {"start": 1100.37, "end": 1100.49, "word": " light", "probability": 0.849609375}, {"start": 1100.49, "end": 1100.69, "word": " is", "probability": 0.78857421875}, {"start": 1100.69, "end": 1101.09, "word": " distorted", "probability": 0.051605224609375}, {"start": 1101.09, "end": 1101.37, "word": " and", "probability": 0.403564453125}, {"start": 1101.37, "end": 1101.63, "word": " so", "probability": 0.78125}, {"start": 1101.63, "end": 1101.81, "word": " on", "probability": 0.8251953125}, {"start": 1101.81, "end": 1101.95, "word": " and", "probability": 0.7021484375}, {"start": 1101.95, "end": 1102.13, "word": " so", "probability": 0.95068359375}, {"start": 1102.13, "end": 1102.43, "word": " forth,", "probability": 0.8935546875}, {"start": 1102.63, "end": 1103.11, "word": " therefore,", "probability": 0.2398681640625}, {"start": 1103.63, "end": 1103.73, "word": " the", "probability": 0.37158203125}, {"start": 1103.73, "end": 1103.89, "word": " more", "probability": 0.54736328125}, {"start": 1103.89, "end": 1106.37, "word": " the", "probability": 0.498779296875}, {"start": 1106.37, "end": 1106.87, "word": " distance", "probability": 0.7578125}, {"start": 1106.87, "end": 1107.07, "word": " that", "probability": 0.2005615234375}, {"start": 1107.07, "end": 1107.61, "word": " the", "probability": 0.50537109375}, {"start": 1107.61, "end": 1107.91, "word": " light", "probability": 0.8447265625}, {"start": 1107.91, "end": 1107.91, "word": " travels", "probability": 0.1102294921875}, {"start": 1107.91, "end": 1107.99, "word": " away", "probability": 0.2197265625}, {"start": 1107.99, "end": 1109.05, "word": " from", "probability": 0.68994140625}, {"start": 1109.05, "end": 1109.21, "word": " the", "probability": 0.84375}, {"start": 1109.21, "end": 1109.49, "word": " object,", "probability": 0.95703125}, {"start": 1109.53, "end": 1109.75, "word": " the", "probability": 0.82421875}, {"start": 1109.75, "end": 1109.97, "word": " more", "probability": 0.458251953125}, {"start": 1109.97, "end": 1110.19, "word": " the", "probability": 0.5166015625}, {"start": 1110.19, "end": 1110.73, "word": " divergence", "probability": 0.7373046875}, {"start": 1110.73, "end": 1111.25, "word": " of", "probability": 0.3134765625}, {"start": 1111.25, "end": 1111.51, "word": " it", "probability": 0.3896484375}, {"start": 1111.51, "end": 1111.51, "word": " changes", "probability": 0.449462890625}], "temperature": 1.0}, {"id": 45, "seek": 112921, "start": 1113.11, "end": 1129.21, "text": "And also this speech also towards the image, the same thing, whenever the distance changes towards the image, near or far, the vergence changes, because the vergence and the distance have a relation, it's a reverse relation, but if one changes, the other will change", "tokens": [5289, 611, 341, 6218, 611, 3030, 264, 3256, 11, 264, 912, 551, 11, 5699, 264, 4560, 2962, 3030, 264, 3256, 11, 2651, 420, 1400, 11, 264, 1306, 15260, 2962, 11, 570, 264, 1306, 15260, 293, 264, 4560, 362, 257, 9721, 11, 309, 311, 257, 9943, 9721, 11, 457, 498, 472, 2962, 11, 264, 661, 486, 1319], "avg_logprob": -0.49287281538310806, "compression_ratio": 1.8472222222222223, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1113.11, "end": 1113.31, "word": "And", "probability": 0.391845703125}, {"start": 1113.31, "end": 1113.59, "word": " also", "probability": 0.5166015625}, {"start": 1113.59, "end": 1113.83, "word": " this", "probability": 0.580078125}, {"start": 1113.83, "end": 1114.21, "word": " speech", "probability": 0.1904296875}, {"start": 1114.21, "end": 1114.61, "word": " also", "probability": 0.41845703125}, {"start": 1114.61, "end": 1115.05, "word": " towards", "probability": 0.4736328125}, {"start": 1115.05, "end": 1115.41, "word": " the", "probability": 0.85009765625}, {"start": 1115.41, "end": 1115.69, "word": " image,", "probability": 0.931640625}, {"start": 1115.83, "end": 1116.15, "word": " the", "probability": 0.39990234375}, {"start": 1116.15, "end": 1116.15, "word": " same", "probability": 0.890625}, {"start": 1116.15, "end": 1116.65, "word": " thing,", "probability": 0.365966796875}, {"start": 1117.07, "end": 1117.31, "word": " whenever", "probability": 0.2529296875}, {"start": 1117.31, "end": 1118.93, "word": " the", "probability": 0.6357421875}, {"start": 1118.93, "end": 1119.33, "word": " distance", "probability": 0.89990234375}, {"start": 1119.33, "end": 1119.41, "word": " changes", "probability": 0.2413330078125}, {"start": 1119.41, "end": 1119.75, "word": " towards", "probability": 0.67138671875}, {"start": 1119.75, "end": 1120.13, "word": " the", "probability": 0.91796875}, {"start": 1120.13, "end": 1120.45, "word": " image,", "probability": 0.9189453125}, {"start": 1120.87, "end": 1121.09, "word": " near", "probability": 0.272705078125}, {"start": 1121.09, "end": 1121.47, "word": " or", "probability": 0.94482421875}, {"start": 1121.47, "end": 1121.79, "word": " far,", "probability": 0.865234375}, {"start": 1122.01, "end": 1122.53, "word": " the", "probability": 0.80029296875}, {"start": 1122.53, "end": 1122.91, "word": " vergence", "probability": 0.65380859375}, {"start": 1122.91, "end": 1122.91, "word": " changes,", "probability": 0.765625}, {"start": 1122.99, "end": 1123.15, "word": " because", "probability": 0.91162109375}, {"start": 1123.15, "end": 1123.33, "word": " the", "probability": 0.7041015625}, {"start": 1123.33, "end": 1123.73, "word": " vergence", "probability": 0.908447265625}, {"start": 1123.73, "end": 1123.87, "word": " and", "probability": 0.90625}, {"start": 1123.87, "end": 1123.91, "word": " the", "probability": 0.425537109375}, {"start": 1123.91, "end": 1124.33, "word": " distance", "probability": 0.93212890625}, {"start": 1124.33, "end": 1124.95, "word": " have", "probability": 0.2083740234375}, {"start": 1124.95, "end": 1125.69, "word": " a", "probability": 0.72998046875}, {"start": 1125.69, "end": 1126.35, "word": " relation,", "probability": 0.5029296875}, {"start": 1126.47, "end": 1126.67, "word": " it's", "probability": 0.56591796875}, {"start": 1126.67, "end": 1127.01, "word": " a", "probability": 0.70654296875}, {"start": 1127.01, "end": 1127.29, "word": " reverse", "probability": 0.208251953125}, {"start": 1127.29, "end": 1127.39, "word": " relation,", "probability": 0.736328125}, {"start": 1127.51, "end": 1127.63, "word": " but", "probability": 0.919921875}, {"start": 1127.63, "end": 1127.77, "word": " if", "probability": 0.95263671875}, {"start": 1127.77, "end": 1128.37, "word": " one", "probability": 0.77978515625}, {"start": 1128.37, "end": 1128.37, "word": " changes,", "probability": 0.84033203125}, {"start": 1128.65, "end": 1128.65, "word": " the", "probability": 0.80078125}, {"start": 1128.65, "end": 1128.65, "word": " other", "probability": 0.78515625}, {"start": 1128.65, "end": 1128.67, "word": " will", "probability": 0.67822265625}, {"start": 1128.67, "end": 1129.21, "word": " change", "probability": 0.7802734375}], "temperature": 1.0}, {"id": 46, "seek": 113725, "start": 1130.89, "end": 1137.25, "text": "To calculate the divergence of light at any point, one must know the location of the object or image point", "tokens": [13342, 8873, 264, 47387, 295, 1442, 412, 604, 935, 11, 472, 1633, 458, 264, 4914, 295, 264, 2657, 420, 3256, 935], "avg_logprob": -0.17365057427774777, "compression_ratio": 1.1910112359550562, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1130.89, "end": 1131.09, "word": "To", "probability": 0.56396484375}, {"start": 1131.09, "end": 1131.71, "word": " calculate", "probability": 0.9111328125}, {"start": 1131.71, "end": 1131.99, "word": " the", "probability": 0.91064453125}, {"start": 1131.99, "end": 1132.29, "word": " divergence", "probability": 0.449951171875}, {"start": 1132.29, "end": 1132.65, "word": " of", "probability": 0.9677734375}, {"start": 1132.65, "end": 1132.95, "word": " light", "probability": 0.88818359375}, {"start": 1132.95, "end": 1133.23, "word": " at", "probability": 0.96728515625}, {"start": 1133.23, "end": 1133.53, "word": " any", "probability": 0.908203125}, {"start": 1133.53, "end": 1133.87, "word": " point,", "probability": 0.9775390625}, {"start": 1134.01, "end": 1134.19, "word": " one", "probability": 0.9267578125}, {"start": 1134.19, "end": 1134.57, "word": " must", "probability": 0.87451171875}, {"start": 1134.57, "end": 1134.81, "word": " know", "probability": 0.8916015625}, {"start": 1134.81, "end": 1135.03, "word": " the", "probability": 0.927734375}, {"start": 1135.03, "end": 1135.53, "word": " location", "probability": 0.92626953125}, {"start": 1135.53, "end": 1135.81, "word": " of", "probability": 0.9716796875}, {"start": 1135.81, "end": 1135.97, "word": " the", "probability": 0.89794921875}, {"start": 1135.97, "end": 1136.39, "word": " object", "probability": 0.96630859375}, {"start": 1136.39, "end": 1136.59, "word": " or", "probability": 0.89990234375}, {"start": 1136.59, "end": 1136.91, "word": " image", "probability": 0.92041015625}, {"start": 1136.91, "end": 1137.25, "word": " point", "probability": 0.97265625}], "temperature": 1.0}, {"id": 47, "seek": 116500, "start": 1147.6, "end": 1165.0, "text": "Conversely, if one knows the divergence at selected point, the position of the object or image point can be determined. As we said before in the example, the divergence at this point is minus four diopters. Where is the object? We calculated that it is minus four diopters.", "tokens": [9838, 840, 736, 11, 498, 472, 3255, 264, 47387, 412, 8209, 935, 11, 264, 2535, 295, 264, 2657, 420, 3256, 935, 393, 312, 9540, 13, 1018, 321, 848, 949, 294, 264, 1365, 11, 264, 47387, 412, 341, 935, 307, 3175, 1451, 1026, 404, 1559, 13, 2305, 307, 264, 2657, 30, 492, 15598, 300, 309, 307, 3175, 1451, 1026, 404, 1559, 13], "avg_logprob": -0.35710684330232684, "compression_ratio": 1.6851851851851851, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1147.6, "end": 1148.28, "word": "Conversely,", "probability": 0.6474609375}, {"start": 1148.42, "end": 1148.54, "word": " if", "probability": 0.9189453125}, {"start": 1148.54, "end": 1148.86, "word": " one", "probability": 0.93310546875}, {"start": 1148.86, "end": 1149.24, "word": " knows", "probability": 0.84814453125}, {"start": 1149.24, "end": 1149.44, "word": " the", "probability": 0.7578125}, {"start": 1149.44, "end": 1149.78, "word": " divergence", "probability": 0.81591796875}, {"start": 1149.78, "end": 1150.22, "word": " at", "probability": 0.96826171875}, {"start": 1150.22, "end": 1150.74, "word": " selected", "probability": 0.82861328125}, {"start": 1150.74, "end": 1151.16, "word": " point,", "probability": 0.951171875}, {"start": 1151.28, "end": 1151.38, "word": " the", "probability": 0.91650390625}, {"start": 1151.38, "end": 1151.76, "word": " position", "probability": 0.93896484375}, {"start": 1151.76, "end": 1152.1, "word": " of", "probability": 0.97412109375}, {"start": 1152.1, "end": 1152.28, "word": " the", "probability": 0.857421875}, {"start": 1152.28, "end": 1152.72, "word": " object", "probability": 0.97021484375}, {"start": 1152.72, "end": 1152.96, "word": " or", "probability": 0.82421875}, {"start": 1152.96, "end": 1153.36, "word": " image", "probability": 0.90234375}, {"start": 1153.36, "end": 1153.72, "word": " point", "probability": 0.962890625}, {"start": 1153.72, "end": 1153.98, "word": " can", "probability": 0.94189453125}, {"start": 1153.98, "end": 1154.24, "word": " be", "probability": 0.94580078125}, {"start": 1154.24, "end": 1154.92, "word": " determined.", "probability": 0.92822265625}, {"start": 1155.08, "end": 1155.18, "word": " As", "probability": 0.435791015625}, {"start": 1155.18, "end": 1155.56, "word": " we", "probability": 0.77490234375}, {"start": 1155.56, "end": 1155.94, "word": " said", "probability": 0.39453125}, {"start": 1155.94, "end": 1156.26, "word": " before", "probability": 0.415283203125}, {"start": 1156.26, "end": 1157.04, "word": " in", "probability": 0.422119140625}, {"start": 1157.04, "end": 1157.16, "word": " the", "probability": 0.625}, {"start": 1157.16, "end": 1157.56, "word": " example,", "probability": 0.951171875}, {"start": 1158.06, "end": 1158.76, "word": " the", "probability": 0.320068359375}, {"start": 1158.76, "end": 1159.14, "word": " divergence", "probability": 0.8017578125}, {"start": 1159.14, "end": 1159.48, "word": " at", "probability": 0.701171875}, {"start": 1159.48, "end": 1159.72, "word": " this", "probability": 0.61767578125}, {"start": 1159.72, "end": 1160.06, "word": " point", "probability": 0.935546875}, {"start": 1160.06, "end": 1160.16, "word": " is", "probability": 0.8447265625}, {"start": 1160.16, "end": 1160.48, "word": " minus", "probability": 0.211669921875}, {"start": 1160.48, "end": 1160.88, "word": " four", "probability": 0.521484375}, {"start": 1160.88, "end": 1161.4, "word": " diopters.", "probability": 0.5430501302083334}, {"start": 1161.5, "end": 1161.64, "word": " Where", "probability": 0.607421875}, {"start": 1161.64, "end": 1161.74, "word": " is", "probability": 0.79638671875}, {"start": 1161.74, "end": 1161.82, "word": " the", "probability": 0.890625}, {"start": 1161.82, "end": 1162.22, "word": " object?", "probability": 0.93896484375}, {"start": 1162.56, "end": 1162.72, "word": " We", "probability": 0.61572265625}, {"start": 1162.72, "end": 1162.96, "word": " calculated", "probability": 0.83251953125}, {"start": 1162.96, "end": 1163.22, "word": " that", "probability": 0.47265625}, {"start": 1163.22, "end": 1163.22, "word": " it", "probability": 0.74853515625}, {"start": 1163.22, "end": 1163.4, "word": " is", "probability": 0.69970703125}, {"start": 1163.4, "end": 1163.82, "word": " minus", "probability": 0.92041015625}, {"start": 1163.82, "end": 1164.16, "word": " four", "probability": 0.305908203125}, {"start": 1164.16, "end": 1165.0, "word": " diopters.", "probability": 0.83203125}], "temperature": 1.0}, {"id": 48, "seek": 118883, "start": 1165.27, "end": 1188.83, "text": "Whether we know the vergence, we can determine the distance, or we know the distance, we can show the vergence, that is, we can point to one another, to one another Now there is a term other than the vergence, it is called reduced vergence, the shortened vergence or shortened Of course, a person may at first think that the shortened vergence is", "tokens": [2471, 1666, 321, 458, 264, 1306, 15260, 11, 321, 393, 6997, 264, 4560, 11, 420, 321, 458, 264, 4560, 11, 321, 393, 855, 264, 1306, 15260, 11, 300, 307, 11, 321, 393, 935, 281, 472, 1071, 11, 281, 472, 1071, 823, 456, 307, 257, 1433, 661, 813, 264, 1306, 15260, 11, 309, 307, 1219, 9212, 1306, 15260, 11, 264, 45183, 1306, 15260, 420, 45183, 2720, 1164, 11, 257, 954, 815, 412, 700, 519, 300, 264, 45183, 1306, 15260, 307], "avg_logprob": -0.43554687425494193, "compression_ratio": 2.096969696969697, "no_speech_prob": 3.516674041748047e-06, "words": [{"start": 1165.27, "end": 1165.57, "word": "Whether", "probability": 0.6148681640625}, {"start": 1165.57, "end": 1166.01, "word": " we", "probability": 0.9130859375}, {"start": 1166.01, "end": 1166.01, "word": " know", "probability": 0.78173828125}, {"start": 1166.01, "end": 1166.15, "word": " the", "probability": 0.8623046875}, {"start": 1166.15, "end": 1166.47, "word": " vergence,", "probability": 0.707763671875}, {"start": 1166.55, "end": 1166.65, "word": " we", "probability": 0.88330078125}, {"start": 1166.65, "end": 1166.85, "word": " can", "probability": 0.8447265625}, {"start": 1166.85, "end": 1167.21, "word": " determine", "probability": 0.393310546875}, {"start": 1167.21, "end": 1167.41, "word": " the", "probability": 0.75146484375}, {"start": 1167.41, "end": 1167.79, "word": " distance,", "probability": 0.9072265625}, {"start": 1168.45, "end": 1168.53, "word": " or", "probability": 0.93798828125}, {"start": 1168.53, "end": 1168.63, "word": " we", "probability": 0.564453125}, {"start": 1168.63, "end": 1168.81, "word": " know", "probability": 0.7998046875}, {"start": 1168.81, "end": 1169.01, "word": " the", "probability": 0.9072265625}, {"start": 1169.01, "end": 1169.31, "word": " distance,", "probability": 0.9365234375}, {"start": 1169.49, "end": 1169.55, "word": " we", "probability": 0.92724609375}, {"start": 1169.55, "end": 1169.77, "word": " can", "probability": 0.904296875}, {"start": 1169.77, "end": 1170.23, "word": " show", "probability": 0.163818359375}, {"start": 1170.23, "end": 1170.99, "word": " the", "probability": 0.8369140625}, {"start": 1170.99, "end": 1171.39, "word": " vergence,", "probability": 0.90771484375}, {"start": 1171.51, "end": 1171.65, "word": " that", "probability": 0.29345703125}, {"start": 1171.65, "end": 1171.65, "word": " is,", "probability": 0.8564453125}, {"start": 1171.71, "end": 1171.85, "word": " we", "probability": 0.94873046875}, {"start": 1171.85, "end": 1172.05, "word": " can", "probability": 0.93408203125}, {"start": 1172.05, "end": 1172.43, "word": " point", "probability": 0.50341796875}, {"start": 1172.43, "end": 1172.77, "word": " to", "probability": 0.424560546875}, {"start": 1172.77, "end": 1172.99, "word": " one", "probability": 0.68896484375}, {"start": 1172.99, "end": 1173.89, "word": " another,", "probability": 0.70263671875}, {"start": 1174.39, "end": 1174.59, "word": " to", "probability": 0.81396484375}, {"start": 1174.59, "end": 1174.81, "word": " one", "probability": 0.759765625}, {"start": 1174.81, "end": 1175.57, "word": " another", "probability": 0.9228515625}, {"start": 1175.57, "end": 1176.61, "word": " Now", "probability": 0.62548828125}, {"start": 1176.61, "end": 1176.89, "word": " there", "probability": 0.81494140625}, {"start": 1176.89, "end": 1176.91, "word": " is", "probability": 0.84130859375}, {"start": 1176.91, "end": 1177.01, "word": " a", "probability": 0.468017578125}, {"start": 1177.01, "end": 1177.35, "word": " term", "probability": 0.748046875}, {"start": 1177.35, "end": 1177.75, "word": " other", "probability": 0.79443359375}, {"start": 1177.75, "end": 1177.79, "word": " than", "probability": 0.94140625}, {"start": 1177.79, "end": 1177.93, "word": " the", "probability": 0.423095703125}, {"start": 1177.93, "end": 1178.33, "word": " vergence,", "probability": 0.892822265625}, {"start": 1178.47, "end": 1178.51, "word": " it", "probability": 0.3818359375}, {"start": 1178.51, "end": 1178.57, "word": " is", "probability": 0.468017578125}, {"start": 1178.57, "end": 1178.71, "word": " called", "probability": 0.7763671875}, {"start": 1178.71, "end": 1179.25, "word": " reduced", "probability": 0.845703125}, {"start": 1179.25, "end": 1179.81, "word": " vergence,", "probability": 0.9306640625}, {"start": 1180.21, "end": 1180.31, "word": " the", "probability": 0.5048828125}, {"start": 1180.31, "end": 1180.47, "word": " shortened", "probability": 0.11700439453125}, {"start": 1180.47, "end": 1181.71, "word": " vergence", "probability": 0.86669921875}, {"start": 1181.71, "end": 1182.09, "word": " or", "probability": 0.4140625}, {"start": 1182.09, "end": 1182.65, "word": " shortened", "probability": 0.439697265625}, {"start": 1182.65, "end": 1183.23, "word": " Of", "probability": 0.455810546875}, {"start": 1183.23, "end": 1183.47, "word": " course,", "probability": 0.95751953125}, {"start": 1183.59, "end": 1183.81, "word": " a", "probability": 0.41015625}, {"start": 1183.81, "end": 1184.21, "word": " person", "probability": 0.8681640625}, {"start": 1184.21, "end": 1184.67, "word": " may", "probability": 0.1832275390625}, {"start": 1184.67, "end": 1184.69, "word": " at", "probability": 0.443603515625}, {"start": 1184.69, "end": 1185.11, "word": " first", "probability": 0.88330078125}, {"start": 1185.11, "end": 1186.07, "word": " think", "probability": 0.88037109375}, {"start": 1186.07, "end": 1186.47, "word": " that", "probability": 0.92919921875}, {"start": 1186.47, "end": 1186.63, "word": " the", "probability": 0.80810546875}, {"start": 1186.63, "end": 1186.63, "word": " shortened", "probability": 0.86767578125}, {"start": 1186.63, "end": 1188.03, "word": " vergence", "probability": 0.929443359375}, {"start": 1188.03, "end": 1188.83, "word": " is", "probability": 0.92822265625}], "temperature": 1.0}, {"id": 49, "seek": 121903, "start": 1190.63, "end": 1219.03, "text": "Digitally, it is less than the normal vergence So, reduced vergence is less than the normal vergence Of course, this is not correct, it is the opposite of what is correct We say reduced vergence is vergence multiplied by refractive index of the medium Okay, let's say this is a new chip We say reduced vergence, the abbreviated vergence", "tokens": [35, 328, 270, 379, 11, 309, 307, 1570, 813, 264, 2710, 1306, 15260, 407, 11, 9212, 1306, 15260, 307, 1570, 813, 264, 2710, 1306, 15260, 2720, 1164, 11, 341, 307, 406, 3006, 11, 309, 307, 264, 6182, 295, 437, 307, 3006, 492, 584, 9212, 1306, 15260, 307, 1306, 15260, 17207, 538, 45353, 488, 8186, 295, 264, 6399, 1033, 11, 718, 311, 584, 341, 307, 257, 777, 11409, 492, 584, 9212, 1306, 15260, 11, 264, 35839, 770, 1306, 15260], "avg_logprob": -0.443037977701501, "compression_ratio": 1.92, "no_speech_prob": 2.5033950805664062e-06, "words": [{"start": 1190.63, "end": 1191.23, "word": "Digitally,", "probability": 0.687591552734375}, {"start": 1191.23, "end": 1191.83, "word": " it", "probability": 0.28662109375}, {"start": 1191.83, "end": 1191.89, "word": " is", "probability": 0.51513671875}, {"start": 1191.89, "end": 1192.23, "word": " less", "probability": 0.7822265625}, {"start": 1192.23, "end": 1192.53, "word": " than", "probability": 0.9248046875}, {"start": 1192.53, "end": 1192.69, "word": " the", "probability": 0.65771484375}, {"start": 1192.69, "end": 1192.93, "word": " normal", "probability": 0.308349609375}, {"start": 1192.93, "end": 1193.31, "word": " vergence", "probability": 0.59918212890625}, {"start": 1193.31, "end": 1194.91, "word": " So,", "probability": 0.1268310546875}, {"start": 1195.03, "end": 1195.51, "word": " reduced", "probability": 0.54833984375}, {"start": 1195.51, "end": 1196.01, "word": " vergence", "probability": 0.9013671875}, {"start": 1196.01, "end": 1196.23, "word": " is", "probability": 0.88037109375}, {"start": 1196.23, "end": 1196.53, "word": " less", "probability": 0.84716796875}, {"start": 1196.53, "end": 1196.91, "word": " than", "probability": 0.9404296875}, {"start": 1196.91, "end": 1197.11, "word": " the", "probability": 0.5419921875}, {"start": 1197.11, "end": 1198.33, "word": " normal", "probability": 0.64404296875}, {"start": 1198.33, "end": 1198.53, "word": " vergence", "probability": 0.885009765625}, {"start": 1198.53, "end": 1199.89, "word": " Of", "probability": 0.5419921875}, {"start": 1199.89, "end": 1200.11, "word": " course,", "probability": 0.9462890625}, {"start": 1200.27, "end": 1200.53, "word": " this", "probability": 0.6591796875}, {"start": 1200.53, "end": 1200.85, "word": " is", "probability": 0.406494140625}, {"start": 1200.85, "end": 1201.05, "word": " not", "probability": 0.83447265625}, {"start": 1201.05, "end": 1201.33, "word": " correct,", "probability": 0.4248046875}, {"start": 1201.53, "end": 1201.61, "word": " it", "probability": 0.7197265625}, {"start": 1201.61, "end": 1201.61, "word": " is", "probability": 0.71728515625}, {"start": 1201.61, "end": 1201.73, "word": " the", "probability": 0.71240234375}, {"start": 1201.73, "end": 1202.01, "word": " opposite", "probability": 0.7919921875}, {"start": 1202.01, "end": 1202.33, "word": " of", "probability": 0.62548828125}, {"start": 1202.33, "end": 1202.37, "word": " what", "probability": 0.7060546875}, {"start": 1202.37, "end": 1202.43, "word": " is", "probability": 0.8759765625}, {"start": 1202.43, "end": 1202.75, "word": " correct", "probability": 0.7197265625}, {"start": 1202.75, "end": 1203.21, "word": " We", "probability": 0.4189453125}, {"start": 1203.21, "end": 1203.39, "word": " say", "probability": 0.876953125}, {"start": 1203.39, "end": 1203.71, "word": " reduced", "probability": 0.326171875}, {"start": 1203.71, "end": 1204.39, "word": " vergence", "probability": 0.930908203125}, {"start": 1204.39, "end": 1204.67, "word": " is", "probability": 0.923828125}, {"start": 1204.67, "end": 1205.31, "word": " vergence", "probability": 0.90185546875}, {"start": 1205.31, "end": 1206.01, "word": " multiplied", "probability": 0.69775390625}, {"start": 1206.01, "end": 1206.73, "word": " by", "probability": 0.97509765625}, {"start": 1206.73, "end": 1207.51, "word": " refractive", "probability": 0.917236328125}, {"start": 1207.51, "end": 1208.01, "word": " index", "probability": 0.890625}, {"start": 1208.01, "end": 1208.25, "word": " of", "probability": 0.9716796875}, {"start": 1208.25, "end": 1208.45, "word": " the", "probability": 0.921875}, {"start": 1208.45, "end": 1208.77, "word": " medium", "probability": 0.8173828125}, {"start": 1208.77, "end": 1209.39, "word": " Okay,", "probability": 0.4033203125}, {"start": 1209.65, "end": 1209.87, "word": " let's", "probability": 0.7421875}, {"start": 1209.87, "end": 1210.31, "word": " say", "probability": 0.1715087890625}, {"start": 1210.31, "end": 1210.83, "word": " this", "probability": 0.333251953125}, {"start": 1210.83, "end": 1210.91, "word": " is", "probability": 0.8974609375}, {"start": 1210.91, "end": 1211.29, "word": " a", "probability": 0.9794921875}, {"start": 1211.29, "end": 1211.53, "word": " new", "probability": 0.88427734375}, {"start": 1211.53, "end": 1211.53, "word": " chip", "probability": 0.28466796875}, {"start": 1211.53, "end": 1215.87, "word": " We", "probability": 0.51611328125}, {"start": 1215.87, "end": 1216.17, "word": " say", "probability": 0.93603515625}, {"start": 1216.17, "end": 1216.83, "word": " reduced", "probability": 0.59716796875}, {"start": 1216.83, "end": 1217.69, "word": " vergence,", "probability": 0.9462890625}, {"start": 1217.93, "end": 1218.01, "word": " the", "probability": 0.63427734375}, {"start": 1218.01, "end": 1218.03, "word": " abbreviated", "probability": 0.6243896484375}, {"start": 1218.03, "end": 1219.03, "word": " vergence", "probability": 0.881103515625}], "temperature": 1.0}, {"id": 50, "seek": 124880, "start": 1221.9, "end": 1248.8, "text": "is equal to the normal vergence, which is the fluctuating state of light, multiplied by the refractive index of the medium in which the light occurs. In other words, if the light I have happens in water, the reduced vergence is equal to the vergence, of course for water, multiplied by", "tokens": [271, 2681, 281, 264, 2710, 1306, 15260, 11, 597, 307, 264, 23448, 32438, 1785, 295, 1442, 11, 17207, 538, 264, 45353, 488, 8186, 295, 264, 6399, 294, 597, 264, 1442, 11843, 13, 682, 661, 2283, 11, 498, 264, 1442, 286, 362, 2314, 294, 1281, 11, 264, 9212, 1306, 15260, 307, 2681, 281, 264, 1306, 15260, 11, 295, 1164, 337, 1281, 11, 17207, 538], "avg_logprob": -0.47998045664280653, "compression_ratio": 1.716867469879518, "no_speech_prob": 3.3974647521972656e-06, "words": [{"start": 1221.9, "end": 1222.16, "word": "is", "probability": 0.09490966796875}, {"start": 1222.16, "end": 1222.58, "word": " equal", "probability": 0.70751953125}, {"start": 1222.58, "end": 1223.32, "word": " to", "probability": 0.96484375}, {"start": 1223.32, "end": 1223.44, "word": " the", "probability": 0.75732421875}, {"start": 1223.44, "end": 1223.7, "word": " normal", "probability": 0.425537109375}, {"start": 1223.7, "end": 1224.0, "word": " vergence,", "probability": 0.60089111328125}, {"start": 1224.62, "end": 1224.66, "word": " which", "probability": 0.791015625}, {"start": 1224.66, "end": 1224.76, "word": " is", "probability": 0.9013671875}, {"start": 1224.76, "end": 1224.88, "word": " the", "probability": 0.767578125}, {"start": 1224.88, "end": 1225.76, "word": " fluctuating", "probability": 0.314208984375}, {"start": 1225.76, "end": 1225.8, "word": " state", "probability": 0.5263671875}, {"start": 1225.8, "end": 1226.08, "word": " of", "probability": 0.923828125}, {"start": 1226.08, "end": 1226.4, "word": " light,", "probability": 0.640625}, {"start": 1226.56, "end": 1226.86, "word": " multiplied", "probability": 0.8759765625}, {"start": 1226.86, "end": 1227.62, "word": " by", "probability": 0.7431640625}, {"start": 1227.62, "end": 1227.72, "word": " the", "probability": 0.8310546875}, {"start": 1227.72, "end": 1228.4, "word": " refractive", "probability": 0.893310546875}, {"start": 1228.4, "end": 1228.88, "word": " index", "probability": 0.9150390625}, {"start": 1228.88, "end": 1229.26, "word": " of", "probability": 0.94921875}, {"start": 1229.26, "end": 1229.76, "word": " the", "probability": 0.8779296875}, {"start": 1229.76, "end": 1230.28, "word": " medium", "probability": 0.94921875}, {"start": 1230.28, "end": 1230.54, "word": " in", "probability": 0.436767578125}, {"start": 1230.54, "end": 1231.16, "word": " which", "probability": 0.93505859375}, {"start": 1231.16, "end": 1231.34, "word": " the", "probability": 0.3740234375}, {"start": 1231.34, "end": 1231.52, "word": " light", "probability": 0.86083984375}, {"start": 1231.52, "end": 1231.72, "word": " occurs.", "probability": 0.225830078125}, {"start": 1231.9, "end": 1232.36, "word": " In", "probability": 0.259765625}, {"start": 1232.36, "end": 1233.18, "word": " other", "probability": 0.833984375}, {"start": 1233.18, "end": 1233.18, "word": " words,", "probability": 0.876953125}, {"start": 1233.52, "end": 1233.74, "word": " if", "probability": 0.93408203125}, {"start": 1233.74, "end": 1233.94, "word": " the", "probability": 0.60693359375}, {"start": 1233.94, "end": 1234.12, "word": " light", "probability": 0.8486328125}, {"start": 1234.12, "end": 1234.38, "word": " I", "probability": 0.224365234375}, {"start": 1234.38, "end": 1234.54, "word": " have", "probability": 0.908203125}, {"start": 1234.54, "end": 1234.92, "word": " happens", "probability": 0.375244140625}, {"start": 1234.92, "end": 1235.1, "word": " in", "probability": 0.9228515625}, {"start": 1235.1, "end": 1235.46, "word": " water,", "probability": 0.72412109375}, {"start": 1235.64, "end": 1235.7, "word": " the", "probability": 0.497314453125}, {"start": 1235.7, "end": 1236.36, "word": " reduced", "probability": 0.8271484375}, {"start": 1236.36, "end": 1237.24, "word": " vergence", "probability": 0.916015625}, {"start": 1237.24, "end": 1237.62, "word": " is", "probability": 0.61279296875}, {"start": 1237.62, "end": 1243.56, "word": " equal", "probability": 0.81787109375}, {"start": 1243.56, "end": 1244.46, "word": " to", "probability": 0.97314453125}, {"start": 1244.46, "end": 1244.58, "word": " the", "probability": 0.80859375}, {"start": 1244.58, "end": 1245.3, "word": " vergence,", "probability": 0.86669921875}, {"start": 1247.1, "end": 1247.34, "word": " of", "probability": 0.68212890625}, {"start": 1247.34, "end": 1247.4, "word": " course", "probability": 0.94384765625}, {"start": 1247.4, "end": 1247.54, "word": " for", "probability": 0.44091796875}, {"start": 1247.54, "end": 1247.9, "word": " water,", "probability": 0.798828125}, {"start": 1248.28, "end": 1248.58, "word": " multiplied", "probability": 0.6787109375}, {"start": 1248.58, "end": 1248.8, "word": " by", "probability": 0.90625}], "temperature": 1.0}, {"id": 51, "seek": 127036, "start": 1249.07, "end": 1270.37, "text": "refractive index of science is equal to 1.3 out of 10 if you multiply any value by 1.3 out of 10, the value of the result will be greater than the basic value to explain this issue, we need to say as follows here we have an example we draw a single refracting surface", "tokens": [33115, 1897, 488, 8186, 295, 3497, 307, 2681, 281, 502, 13, 18, 484, 295, 1266, 498, 291, 12972, 604, 2158, 538, 502, 13, 18, 484, 295, 1266, 11, 264, 2158, 295, 264, 1874, 486, 312, 5044, 813, 264, 3875, 2158, 281, 2903, 341, 2734, 11, 321, 643, 281, 584, 382, 10002, 510, 321, 362, 364, 1365, 321, 2642, 257, 2167, 45353, 278, 3753], "avg_logprob": -0.5668945396319032, "compression_ratio": 1.552325581395349, "no_speech_prob": 4.172325134277344e-06, "words": [{"start": 1249.07, "end": 1249.71, "word": "refractive", "probability": 0.6981608072916666}, {"start": 1249.71, "end": 1250.05, "word": " index", "probability": 0.9423828125}, {"start": 1250.05, "end": 1250.21, "word": " of", "probability": 0.2449951171875}, {"start": 1250.21, "end": 1250.49, "word": " science", "probability": 0.599609375}, {"start": 1250.49, "end": 1250.73, "word": " is", "probability": 0.357177734375}, {"start": 1250.73, "end": 1251.01, "word": " equal", "probability": 0.33544921875}, {"start": 1251.01, "end": 1251.13, "word": " to", "probability": 0.93017578125}, {"start": 1251.13, "end": 1251.33, "word": " 1", "probability": 0.454345703125}, {"start": 1251.33, "end": 1251.79, "word": ".3", "probability": 0.65185546875}, {"start": 1251.79, "end": 1252.05, "word": " out", "probability": 0.1865234375}, {"start": 1252.05, "end": 1252.05, "word": " of", "probability": 0.97265625}, {"start": 1252.05, "end": 1252.35, "word": " 10", "probability": 0.92919921875}, {"start": 1252.35, "end": 1253.25, "word": " if", "probability": 0.341064453125}, {"start": 1253.25, "end": 1253.47, "word": " you", "probability": 0.837890625}, {"start": 1253.47, "end": 1253.69, "word": " multiply", "probability": 0.67822265625}, {"start": 1253.69, "end": 1254.05, "word": " any", "probability": 0.73291015625}, {"start": 1254.05, "end": 1254.39, "word": " value", "probability": 0.8701171875}, {"start": 1254.39, "end": 1254.61, "word": " by", "probability": 0.5107421875}, {"start": 1254.61, "end": 1254.79, "word": " 1", "probability": 0.951171875}, {"start": 1254.79, "end": 1255.19, "word": ".3", "probability": 0.990234375}, {"start": 1255.19, "end": 1255.41, "word": " out", "probability": 0.41357421875}, {"start": 1255.41, "end": 1255.41, "word": " of", "probability": 0.9755859375}, {"start": 1255.41, "end": 1255.63, "word": " 10,", "probability": 0.9716796875}, {"start": 1255.77, "end": 1255.93, "word": " the", "probability": 0.59912109375}, {"start": 1255.93, "end": 1256.53, "word": " value", "probability": 0.350341796875}, {"start": 1256.53, "end": 1256.65, "word": " of", "probability": 0.25830078125}, {"start": 1256.65, "end": 1256.71, "word": " the", "probability": 0.53125}, {"start": 1256.71, "end": 1256.93, "word": " result", "probability": 0.66650390625}, {"start": 1256.93, "end": 1257.09, "word": " will", "probability": 0.59228515625}, {"start": 1257.09, "end": 1257.09, "word": " be", "probability": 0.521484375}, {"start": 1257.09, "end": 1257.37, "word": " greater", "probability": 0.490478515625}, {"start": 1257.37, "end": 1257.55, "word": " than", "probability": 0.91943359375}, {"start": 1257.55, "end": 1257.73, "word": " the", "probability": 0.83349609375}, {"start": 1257.73, "end": 1258.33, "word": " basic", "probability": 0.1497802734375}, {"start": 1258.33, "end": 1260.59, "word": " value", "probability": 0.93701171875}, {"start": 1260.59, "end": 1261.09, "word": " to", "probability": 0.29541015625}, {"start": 1261.09, "end": 1261.59, "word": " explain", "probability": 0.51123046875}, {"start": 1261.59, "end": 1261.89, "word": " this", "probability": 0.86474609375}, {"start": 1261.89, "end": 1262.37, "word": " issue,", "probability": 0.2939453125}, {"start": 1262.53, "end": 1262.59, "word": " we", "probability": 0.60888671875}, {"start": 1262.59, "end": 1262.63, "word": " need", "probability": 0.1619873046875}, {"start": 1262.63, "end": 1262.79, "word": " to", "probability": 0.9306640625}, {"start": 1262.79, "end": 1262.99, "word": " say", "probability": 0.64111328125}, {"start": 1262.99, "end": 1263.13, "word": " as", "probability": 0.44287109375}, {"start": 1263.13, "end": 1263.49, "word": " follows", "probability": 0.69189453125}, {"start": 1263.49, "end": 1263.67, "word": " here", "probability": 0.189208984375}, {"start": 1263.67, "end": 1263.95, "word": " we", "probability": 0.61767578125}, {"start": 1263.95, "end": 1264.19, "word": " have", "probability": 0.9287109375}, {"start": 1264.19, "end": 1266.45, "word": " an", "probability": 0.845703125}, {"start": 1266.45, "end": 1267.43, "word": " example", "probability": 0.97607421875}, {"start": 1267.43, "end": 1268.85, "word": " we", "probability": 0.1492919921875}, {"start": 1268.85, "end": 1268.91, "word": " draw", "probability": 0.53076171875}, {"start": 1268.91, "end": 1269.21, "word": " a", "probability": 0.76025390625}, {"start": 1269.21, "end": 1269.37, "word": " single", "probability": 0.7939453125}, {"start": 1269.37, "end": 1269.99, "word": " refracting", "probability": 0.5013427734375}, {"start": 1269.99, "end": 1270.37, "word": " surface", "probability": 0.57275390625}], "temperature": 1.0}, {"id": 52, "seek": 131084, "start": 1282.6, "end": 1310.84, "text": " this light is going to go this is my single refracting service and this is my rays going to form rays", "tokens": [341, 1442, 307, 516, 281, 352, 341, 307, 452, 2167, 45353, 278, 2643, 293, 341, 307, 452, 24417, 516, 281, 1254, 24417], "avg_logprob": -0.8138586749201235, "compression_ratio": 1.3783783783783783, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1282.6, "end": 1282.88, "word": " this", "probability": 0.2176513671875}, {"start": 1282.88, "end": 1283.26, "word": " light", "probability": 0.57275390625}, {"start": 1283.26, "end": 1285.38, "word": " is", "probability": 0.08587646484375}, {"start": 1285.38, "end": 1285.72, "word": " going", "probability": 0.63427734375}, {"start": 1285.72, "end": 1294.02, "word": " to", "probability": 0.83251953125}, {"start": 1294.02, "end": 1294.02, "word": " go", "probability": 0.2578125}, {"start": 1294.02, "end": 1294.76, "word": " this", "probability": 0.08251953125}, {"start": 1294.76, "end": 1304.38, "word": " is", "probability": 0.67138671875}, {"start": 1304.38, "end": 1304.56, "word": " my", "probability": 0.2484130859375}, {"start": 1304.56, "end": 1304.82, "word": " single", "probability": 0.80126953125}, {"start": 1304.82, "end": 1305.42, "word": " refracting", "probability": 0.5257568359375}, {"start": 1305.42, "end": 1306.0, "word": " service", "probability": 0.5546875}, {"start": 1306.0, "end": 1306.5, "word": " and", "probability": 0.68896484375}, {"start": 1306.5, "end": 1306.64, "word": " this", "probability": 0.41552734375}, {"start": 1306.64, "end": 1306.82, "word": " is", "probability": 0.6796875}, {"start": 1306.82, "end": 1307.2, "word": " my", "probability": 0.51123046875}, {"start": 1307.2, "end": 1307.5, "word": " rays", "probability": 0.53564453125}, {"start": 1307.5, "end": 1307.9, "word": " going", "probability": 0.348388671875}, {"start": 1307.9, "end": 1308.06, "word": " to", "probability": 0.96240234375}, {"start": 1308.06, "end": 1308.5, "word": " form", "probability": 0.57958984375}, {"start": 1308.5, "end": 1310.84, "word": " rays", "probability": 0.50634765625}], "temperature": 1.0}, {"id": 53, "seek": 133875, "start": 1317.89, "end": 1338.75, "text": "It came from an object and it's going to form an image And it's going to form an image Now we want to calculate the divergence of light at this distance", "tokens": [3522, 1361, 490, 364, 2657, 293, 309, 311, 516, 281, 1254, 364, 3256, 400, 309, 311, 516, 281, 1254, 364, 3256, 823, 321, 528, 281, 8873, 264, 47387, 295, 1442, 412, 341, 4560], "avg_logprob": -0.4455422811648425, "compression_ratio": 1.4476190476190476, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 1317.89, "end": 1318.07, "word": "It", "probability": 0.11572265625}, {"start": 1318.07, "end": 1318.29, "word": " came", "probability": 0.4091796875}, {"start": 1318.29, "end": 1318.41, "word": " from", "probability": 0.8583984375}, {"start": 1318.41, "end": 1318.91, "word": " an", "probability": 0.39013671875}, {"start": 1318.91, "end": 1318.91, "word": " object", "probability": 0.93505859375}, {"start": 1318.91, "end": 1319.09, "word": " and", "probability": 0.466552734375}, {"start": 1319.09, "end": 1319.33, "word": " it's", "probability": 0.26800537109375}, {"start": 1319.33, "end": 1319.33, "word": " going", "probability": 0.84326171875}, {"start": 1319.33, "end": 1319.45, "word": " to", "probability": 0.96630859375}, {"start": 1319.45, "end": 1319.77, "word": " form", "probability": 0.44140625}, {"start": 1319.77, "end": 1320.05, "word": " an", "probability": 0.74658203125}, {"start": 1320.05, "end": 1320.33, "word": " image", "probability": 0.87158203125}, {"start": 1320.33, "end": 1324.07, "word": " And", "probability": 0.2376708984375}, {"start": 1324.07, "end": 1324.31, "word": " it's", "probability": 0.857666015625}, {"start": 1324.31, "end": 1324.31, "word": " going", "probability": 0.95263671875}, {"start": 1324.31, "end": 1324.45, "word": " to", "probability": 0.96923828125}, {"start": 1324.45, "end": 1324.75, "word": " form", "probability": 0.89111328125}, {"start": 1324.75, "end": 1325.07, "word": " an", "probability": 0.90478515625}, {"start": 1325.07, "end": 1325.33, "word": " image", "probability": 0.92626953125}, {"start": 1325.33, "end": 1335.71, "word": " Now", "probability": 0.8603515625}, {"start": 1335.71, "end": 1335.87, "word": " we", "probability": 0.68017578125}, {"start": 1335.87, "end": 1335.99, "word": " want", "probability": 0.348388671875}, {"start": 1335.99, "end": 1336.13, "word": " to", "probability": 0.97119140625}, {"start": 1336.13, "end": 1336.37, "word": " calculate", "probability": 0.8408203125}, {"start": 1336.37, "end": 1336.55, "word": " the", "probability": 0.8427734375}, {"start": 1336.55, "end": 1336.91, "word": " divergence", "probability": 0.2459716796875}, {"start": 1336.91, "end": 1337.25, "word": " of", "probability": 0.96728515625}, {"start": 1337.25, "end": 1337.71, "word": " light", "probability": 0.890625}, {"start": 1337.71, "end": 1338.01, "word": " at", "probability": 0.7265625}, {"start": 1338.01, "end": 1338.31, "word": " this", "probability": 0.892578125}, {"start": 1338.31, "end": 1338.75, "word": " distance", "probability": 0.88671875}], "temperature": 1.0}, {"id": 54, "seek": 137033, "start": 1345.29, "end": 1370.33, "text": "this distance is one meter away from the edge this distance is one meter away from the edge from here, the light is still accumulating it will eventually form an edge inside the glass how much is the divergence? divergence is the inverse of the distance divergence", "tokens": [11176, 4560, 307, 472, 9255, 1314, 490, 264, 4691, 341, 4560, 307, 472, 9255, 1314, 490, 264, 4691, 490, 510, 11, 264, 1442, 307, 920, 12989, 12162, 309, 486, 4728, 1254, 364, 4691, 1854, 264, 4276, 577, 709, 307, 264, 47387, 30, 47387, 307, 264, 17340, 295, 264, 4560, 47387], "avg_logprob": -0.5143995378531662, "compression_ratio": 1.8857142857142857, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1345.29, "end": 1345.65, "word": "this", "probability": 0.37109375}, {"start": 1345.65, "end": 1346.17, "word": " distance", "probability": 0.89453125}, {"start": 1346.17, "end": 1346.71, "word": " is", "probability": 0.76171875}, {"start": 1346.71, "end": 1348.05, "word": " one", "probability": 0.4609375}, {"start": 1348.05, "end": 1348.79, "word": " meter", "probability": 0.8935546875}, {"start": 1348.79, "end": 1349.59, "word": " away", "probability": 0.381103515625}, {"start": 1349.59, "end": 1349.71, "word": " from", "probability": 0.8955078125}, {"start": 1349.71, "end": 1349.77, "word": " the", "probability": 0.6904296875}, {"start": 1349.77, "end": 1350.05, "word": " edge", "probability": 0.1329345703125}, {"start": 1350.05, "end": 1350.63, "word": " this", "probability": 0.21142578125}, {"start": 1350.63, "end": 1351.19, "word": " distance", "probability": 0.9599609375}, {"start": 1351.19, "end": 1352.49, "word": " is", "probability": 0.9296875}, {"start": 1352.49, "end": 1354.51, "word": " one", "probability": 0.89990234375}, {"start": 1354.51, "end": 1355.09, "word": " meter", "probability": 0.91650390625}, {"start": 1355.09, "end": 1355.09, "word": " away", "probability": 0.845703125}, {"start": 1355.09, "end": 1356.63, "word": " from", "probability": 0.89697265625}, {"start": 1356.63, "end": 1356.91, "word": " the", "probability": 0.912109375}, {"start": 1356.91, "end": 1357.19, "word": " edge", "probability": 0.95263671875}, {"start": 1357.19, "end": 1358.61, "word": " from", "probability": 0.175537109375}, {"start": 1358.61, "end": 1359.05, "word": " here,", "probability": 0.5751953125}, {"start": 1359.35, "end": 1359.49, "word": " the", "probability": 0.6611328125}, {"start": 1359.49, "end": 1359.61, "word": " light", "probability": 0.71533203125}, {"start": 1359.61, "end": 1359.89, "word": " is", "probability": 0.291748046875}, {"start": 1359.89, "end": 1359.89, "word": " still", "probability": 0.71240234375}, {"start": 1359.89, "end": 1360.69, "word": " accumulating", "probability": 0.55853271484375}, {"start": 1360.69, "end": 1361.63, "word": " it", "probability": 0.194091796875}, {"start": 1361.63, "end": 1361.85, "word": " will", "probability": 0.79296875}, {"start": 1361.85, "end": 1362.51, "word": " eventually", "probability": 0.65966796875}, {"start": 1362.51, "end": 1362.51, "word": " form", "probability": 0.67333984375}, {"start": 1362.51, "end": 1362.71, "word": " an", "probability": 0.72021484375}, {"start": 1362.71, "end": 1362.89, "word": " edge", "probability": 0.95849609375}, {"start": 1362.89, "end": 1363.23, "word": " inside", "probability": 0.8505859375}, {"start": 1363.23, "end": 1363.43, "word": " the", "probability": 0.84765625}, {"start": 1363.43, "end": 1363.81, "word": " glass", "probability": 0.87451171875}, {"start": 1363.81, "end": 1365.23, "word": " how", "probability": 0.66943359375}, {"start": 1365.23, "end": 1365.53, "word": " much", "probability": 0.7900390625}, {"start": 1365.53, "end": 1365.59, "word": " is", "probability": 0.86572265625}, {"start": 1365.59, "end": 1365.65, "word": " the", "probability": 0.74853515625}, {"start": 1365.65, "end": 1366.01, "word": " divergence?", "probability": 0.75048828125}, {"start": 1366.55, "end": 1367.17, "word": " divergence", "probability": 0.83154296875}, {"start": 1367.17, "end": 1367.37, "word": " is", "probability": 0.58447265625}, {"start": 1367.37, "end": 1367.79, "word": " the", "probability": 0.39501953125}, {"start": 1367.79, "end": 1368.05, "word": " inverse", "probability": 0.0582275390625}, {"start": 1368.05, "end": 1368.19, "word": " of", "probability": 0.96826171875}, {"start": 1368.19, "end": 1368.31, "word": " the", "probability": 0.44384765625}, {"start": 1368.31, "end": 1368.69, "word": " distance", "probability": 0.9287109375}, {"start": 1368.69, "end": 1370.33, "word": " divergence", "probability": 0.951171875}], "temperature": 1.0}, {"id": 55, "seek": 139466, "start": 1381.58, "end": 1394.66, "text": "I want to calculate the reduced versions", "tokens": [40, 528, 281, 8873, 264, 9212, 9606], "avg_logprob": -0.8139648288488388, "compression_ratio": 0.8333333333333334, "no_speech_prob": 4.881620407104492e-05, "words": [{"start": 1381.58, "end": 1382.74, "word": "I", "probability": 0.042877197265625}, {"start": 1382.74, "end": 1383.9, "word": " want", "probability": 0.30029296875}, {"start": 1383.9, "end": 1393.2, "word": " to", "probability": 0.953125}, {"start": 1393.2, "end": 1393.4, "word": " calculate", "probability": 0.78564453125}, {"start": 1393.4, "end": 1393.6, "word": " the", "probability": 0.39306640625}, {"start": 1393.6, "end": 1394.08, "word": " reduced", "probability": 0.89453125}, {"start": 1394.08, "end": 1394.66, "word": " versions", "probability": 0.48583984375}], "temperature": 1.0}, {"id": 56, "seek": 142054, "start": 1401.16, "end": 1420.54, "text": "is equal to the vergence itself which is plus one diopter which we saw a while ago in this upper line multiplied by the refractive index of the glass which is one and a half for example is equal to plus one and a half", "tokens": [271, 2681, 281, 264, 1306, 15260, 309, 405, 75, 69, 597, 307, 1804, 472, 1026, 404, 391, 597, 321, 1866, 257, 1339, 2057, 294, 341, 6597, 1622, 17207, 538, 264, 45353, 488, 8186, 295, 264, 4276, 597, 307, 472, 293, 257, 1922, 337, 1365, 307, 2681, 281, 1804, 472, 293, 257, 1922], "avg_logprob": -0.42777123541202183, "compression_ratio": 1.6074074074074074, "no_speech_prob": 1.4960765838623047e-05, "words": [{"start": 1401.16, "end": 1401.46, "word": "is", "probability": 0.1185302734375}, {"start": 1401.46, "end": 1401.88, "word": " equal", "probability": 0.4453125}, {"start": 1401.88, "end": 1402.58, "word": " to", "probability": 0.9306640625}, {"start": 1402.58, "end": 1402.66, "word": " the", "probability": 0.55859375}, {"start": 1402.66, "end": 1403.08, "word": " vergence", "probability": 0.608154296875}, {"start": 1403.08, "end": 1403.44, "word": " itself", "probability": 0.6594390869140625}, {"start": 1403.44, "end": 1403.58, "word": " which", "probability": 0.6328125}, {"start": 1403.58, "end": 1403.64, "word": " is", "probability": 0.88720703125}, {"start": 1403.64, "end": 1403.96, "word": " plus", "probability": 0.481201171875}, {"start": 1403.96, "end": 1404.28, "word": " one", "probability": 0.454833984375}, {"start": 1404.28, "end": 1404.96, "word": " diopter", "probability": 0.84814453125}, {"start": 1404.96, "end": 1406.26, "word": " which", "probability": 0.4990234375}, {"start": 1406.26, "end": 1406.54, "word": " we", "probability": 0.52001953125}, {"start": 1406.54, "end": 1406.7, "word": " saw", "probability": 0.1544189453125}, {"start": 1406.7, "end": 1407.12, "word": " a", "probability": 0.289794921875}, {"start": 1407.12, "end": 1407.22, "word": " while", "probability": 0.452392578125}, {"start": 1407.22, "end": 1407.44, "word": " ago", "probability": 0.8662109375}, {"start": 1407.44, "end": 1408.5, "word": " in", "probability": 0.68603515625}, {"start": 1408.5, "end": 1408.62, "word": " this", "probability": 0.3994140625}, {"start": 1408.62, "end": 1409.52, "word": " upper", "probability": 0.439453125}, {"start": 1409.52, "end": 1409.54, "word": " line", "probability": 0.79833984375}, {"start": 1409.54, "end": 1410.52, "word": " multiplied", "probability": 0.74267578125}, {"start": 1410.52, "end": 1410.82, "word": " by", "probability": 0.798828125}, {"start": 1410.82, "end": 1410.9, "word": " the", "probability": 0.62060546875}, {"start": 1410.9, "end": 1411.48, "word": " refractive", "probability": 0.982666015625}, {"start": 1411.48, "end": 1411.88, "word": " index", "probability": 0.94970703125}, {"start": 1411.88, "end": 1412.2, "word": " of", "probability": 0.86572265625}, {"start": 1412.2, "end": 1412.74, "word": " the", "probability": 0.84326171875}, {"start": 1412.74, "end": 1413.02, "word": " glass", "probability": 0.83984375}, {"start": 1413.02, "end": 1413.36, "word": " which", "probability": 0.849609375}, {"start": 1413.36, "end": 1413.52, "word": " is", "probability": 0.87646484375}, {"start": 1413.52, "end": 1414.1, "word": " one", "probability": 0.5234375}, {"start": 1414.1, "end": 1414.36, "word": " and", "probability": 0.796875}, {"start": 1414.36, "end": 1414.56, "word": " a", "probability": 0.69775390625}, {"start": 1414.56, "end": 1414.56, "word": " half", "probability": 0.87109375}, {"start": 1414.56, "end": 1414.74, "word": " for", "probability": 0.78564453125}, {"start": 1414.74, "end": 1415.62, "word": " example", "probability": 0.88623046875}, {"start": 1415.62, "end": 1416.22, "word": " is", "probability": 0.28515625}, {"start": 1416.22, "end": 1416.74, "word": " equal", "probability": 0.86083984375}, {"start": 1416.74, "end": 1417.46, "word": " to", "probability": 0.9638671875}, {"start": 1417.46, "end": 1418.04, "word": " plus", "probability": 0.87255859375}, {"start": 1418.04, "end": 1419.9, "word": " one", "probability": 0.9365234375}, {"start": 1419.9, "end": 1420.24, "word": " and", "probability": 0.9296875}, {"start": 1420.24, "end": 1420.52, "word": " a", "probability": 0.95166015625}, {"start": 1420.52, "end": 1420.54, "word": " half", "probability": 0.84814453125}], "temperature": 1.0}, {"id": 57, "seek": 143785, "start": 1422.07, "end": 1437.85, "text": "Diode, from this example it becomes very clear that the reduced vergence, its name is vergence, its value is supposed to be less, but it is clear that its value is higher than the vergence itself Okay, now we need to know exactly that the reduced vergence", "tokens": [35, 72, 1429, 11, 490, 341, 1365, 309, 3643, 588, 1850, 300, 264, 9212, 1306, 15260, 11, 1080, 1315, 307, 1306, 15260, 11, 1080, 2158, 307, 3442, 281, 312, 1570, 11, 457, 309, 307, 1850, 300, 1080, 2158, 307, 2946, 813, 264, 1306, 15260, 2564, 1033, 11, 586, 321, 643, 281, 458, 2293, 300, 264, 9212, 1306, 15260], "avg_logprob": -0.4790783918510049, "compression_ratio": 1.7465753424657535, "no_speech_prob": 1.823902130126953e-05, "words": [{"start": 1422.07, "end": 1422.51, "word": "Diode,", "probability": 0.4833984375}, {"start": 1423.01, "end": 1423.17, "word": " from", "probability": 0.64111328125}, {"start": 1423.17, "end": 1423.39, "word": " this", "probability": 0.88232421875}, {"start": 1423.39, "end": 1423.75, "word": " example", "probability": 0.96630859375}, {"start": 1423.75, "end": 1423.87, "word": " it", "probability": 0.5556640625}, {"start": 1423.87, "end": 1424.09, "word": " becomes", "probability": 0.2435302734375}, {"start": 1424.09, "end": 1424.31, "word": " very", "probability": 0.501953125}, {"start": 1424.31, "end": 1424.31, "word": " clear", "probability": 0.66796875}, {"start": 1424.31, "end": 1426.19, "word": " that", "probability": 0.72607421875}, {"start": 1426.19, "end": 1426.33, "word": " the", "probability": 0.44482421875}, {"start": 1426.33, "end": 1426.71, "word": " reduced", "probability": 0.900390625}, {"start": 1426.71, "end": 1427.21, "word": " vergence,", "probability": 0.706298828125}, {"start": 1427.27, "end": 1427.41, "word": " its", "probability": 0.2398681640625}, {"start": 1427.41, "end": 1427.63, "word": " name", "probability": 0.8583984375}, {"start": 1427.63, "end": 1427.73, "word": " is", "probability": 0.49658203125}, {"start": 1427.73, "end": 1428.17, "word": " vergence,", "probability": 0.72509765625}, {"start": 1428.63, "end": 1428.79, "word": " its", "probability": 0.328369140625}, {"start": 1428.79, "end": 1429.27, "word": " value", "probability": 0.78662109375}, {"start": 1429.27, "end": 1429.41, "word": " is", "probability": 0.39208984375}, {"start": 1429.41, "end": 1429.41, "word": " supposed", "probability": 0.8212890625}, {"start": 1429.41, "end": 1429.41, "word": " to", "probability": 0.9599609375}, {"start": 1429.41, "end": 1429.57, "word": " be", "probability": 0.9443359375}, {"start": 1429.57, "end": 1429.85, "word": " less,", "probability": 0.50927734375}, {"start": 1429.97, "end": 1430.13, "word": " but", "probability": 0.87744140625}, {"start": 1430.13, "end": 1430.25, "word": " it", "probability": 0.5693359375}, {"start": 1430.25, "end": 1430.33, "word": " is", "probability": 0.68896484375}, {"start": 1430.33, "end": 1430.51, "word": " clear", "probability": 0.751953125}, {"start": 1430.51, "end": 1430.75, "word": " that", "probability": 0.9296875}, {"start": 1430.75, "end": 1430.83, "word": " its", "probability": 0.705078125}, {"start": 1430.83, "end": 1431.05, "word": " value", "probability": 0.966796875}, {"start": 1431.05, "end": 1431.21, "word": " is", "probability": 0.94921875}, {"start": 1431.21, "end": 1431.49, "word": " higher", "probability": 0.81494140625}, {"start": 1431.49, "end": 1431.73, "word": " than", "probability": 0.94287109375}, {"start": 1431.73, "end": 1431.87, "word": " the", "probability": 0.77734375}, {"start": 1431.87, "end": 1432.33, "word": " vergence", "probability": 0.882568359375}, {"start": 1432.33, "end": 1432.83, "word": " itself", "probability": 0.7255859375}, {"start": 1432.83, "end": 1433.43, "word": " Okay,", "probability": 0.1842041015625}, {"start": 1433.97, "end": 1434.47, "word": " now", "probability": 0.91259765625}, {"start": 1434.47, "end": 1434.99, "word": " we", "probability": 0.87353515625}, {"start": 1434.99, "end": 1435.11, "word": " need", "probability": 0.41455078125}, {"start": 1435.11, "end": 1435.27, "word": " to", "probability": 0.97314453125}, {"start": 1435.27, "end": 1435.53, "word": " know", "probability": 0.77880859375}, {"start": 1435.53, "end": 1435.97, "word": " exactly", "probability": 0.33447265625}, {"start": 1435.97, "end": 1436.51, "word": " that", "probability": 0.80615234375}, {"start": 1436.51, "end": 1436.65, "word": " the", "probability": 0.6591796875}, {"start": 1436.65, "end": 1437.13, "word": " reduced", "probability": 0.94091796875}, {"start": 1437.13, "end": 1437.85, "word": " vergence", "probability": 0.943115234375}], "temperature": 1.0}, {"id": 58, "seek": 145783, "start": 1438.75, "end": 1457.83, "text": "reduced versions دائما و أبدا بيكون أعلى من ال versions معادة في حالة واحدة إذا الضوء يسري في الفراغ، لو حسبتله ال versions، هيطلعله قيمة، لو حسبتله ال reduced versions، هتطلع نفس القيمة، ليش؟ لأنه الآن تعطي الفراغ واحد، فلما نضرب أي قيمة في واحد، بتضلها زي ما هي", "tokens": [265, 769, 1232, 9606, 11778, 16373, 15042, 4032, 5551, 3555, 28259, 4724, 1829, 30544, 5551, 3615, 23942, 9154, 2423, 9606, 20449, 18513, 3660, 8978, 11331, 6027, 3660, 36764, 24401, 3660, 11933, 15730, 6024, 114, 2407, 38207, 7251, 3794, 16572, 8978, 27188, 2288, 5718, 118, 12399, 45164, 11331, 35457, 2655, 43761, 2423, 9606, 12399, 39896, 9566, 1211, 30241, 3224, 12174, 32640, 3660, 12399, 45164, 11331, 35457, 2655, 43761, 2423, 9212, 9606, 12399, 8032, 2655, 9566, 1211, 3615, 8717, 36178, 25062, 32640, 3660, 12399, 32239, 8592, 22807, 5296, 33456, 3224, 6024, 48506, 6055, 3615, 9566, 1829, 27188, 2288, 5718, 118, 36764, 24401, 12399, 6156, 1211, 15042, 8717, 11242, 25513, 36632, 12174, 32640, 3660, 8978, 36764, 24401, 12399, 39894, 11242, 1211, 11296, 30767, 1829, 19446, 39896], "avg_logprob": -0.16733871268168574, "compression_ratio": 1.937219730941704, "no_speech_prob": 3.2186508178710938e-06, "words": [{"start": 1438.75, "end": 1439.47, "word": "reduced", "probability": 0.7494303385416666}, {"start": 1439.47, "end": 1439.87, "word": " versions", "probability": 0.271484375}, {"start": 1439.87, "end": 1440.57, "word": " دائما", "probability": 0.6802571614583334}, {"start": 1440.57, "end": 1440.71, "word": " و", "probability": 0.75048828125}, {"start": 1440.71, "end": 1441.07, "word": " أبدا", "probability": 0.8479817708333334}, {"start": 1441.07, "end": 1441.43, "word": " بيكون", "probability": 0.9054361979166666}, {"start": 1441.43, "end": 1441.85, "word": " أعلى", "probability": 0.9435221354166666}, {"start": 1441.85, "end": 1441.99, "word": " من", "probability": 0.98681640625}, {"start": 1441.99, "end": 1442.11, "word": " ال", "probability": 0.974609375}, {"start": 1442.11, "end": 1442.49, "word": " versions", "probability": 0.55517578125}, {"start": 1442.49, "end": 1442.95, "word": " معادة", "probability": 0.7097981770833334}, {"start": 1442.95, "end": 1443.07, "word": " في", "probability": 0.91259765625}, {"start": 1443.07, "end": 1443.39, "word": " حالة", "probability": 0.99072265625}, {"start": 1443.39, "end": 1444.25, "word": " واحدة", "probability": 0.9833984375}, {"start": 1444.25, "end": 1444.53, "word": " إذا", "probability": 0.859130859375}, {"start": 1444.53, "end": 1444.91, "word": " الضوء", "probability": 0.82696533203125}, {"start": 1444.91, "end": 1445.31, "word": " يسري", "probability": 0.9339192708333334}, {"start": 1445.31, "end": 1445.45, "word": " في", "probability": 0.94189453125}, {"start": 1445.45, "end": 1446.03, "word": " الفراغ،", "probability": 0.731689453125}, {"start": 1446.03, "end": 1446.21, "word": " لو", "probability": 0.9609375}, {"start": 1446.21, "end": 1446.77, "word": " حسبتله", "probability": 0.96923828125}, {"start": 1446.77, "end": 1446.93, "word": " ال", "probability": 0.9775390625}, {"start": 1446.93, "end": 1447.95, "word": " versions،", "probability": 0.6263427734375}, {"start": 1447.95, "end": 1448.67, "word": " هيطلعله", "probability": 0.69521484375}, {"start": 1448.67, "end": 1449.15, "word": " قيمة،", "probability": 0.9544677734375}, {"start": 1449.15, "end": 1449.29, "word": " لو", "probability": 0.984375}, {"start": 1449.29, "end": 1449.97, "word": " حسبتله", "probability": 0.9881591796875}, {"start": 1449.97, "end": 1450.25, "word": " ال", "probability": 0.97021484375}, {"start": 1450.25, "end": 1450.59, "word": " reduced", "probability": 0.89892578125}, {"start": 1450.59, "end": 1451.11, "word": " versions،", "probability": 0.884033203125}, {"start": 1451.11, "end": 1451.51, "word": " هتطلع", "probability": 0.9453125}, {"start": 1451.51, "end": 1451.77, "word": " نفس", "probability": 0.99658203125}, {"start": 1451.77, "end": 1452.29, "word": " القيمة،", "probability": 0.9583740234375}, {"start": 1452.29, "end": 1452.57, "word": " ليش؟", "probability": 0.9161783854166666}, {"start": 1452.57, "end": 1452.85, "word": " لأنه", "probability": 0.8673502604166666}, {"start": 1452.85, "end": 1453.19, "word": " الآن", "probability": 0.624267578125}, {"start": 1453.19, "end": 1453.59, "word": " تعطي", "probability": 0.77496337890625}, {"start": 1453.59, "end": 1454.05, "word": " الفراغ", "probability": 0.9404296875}, {"start": 1454.05, "end": 1454.89, "word": " واحد،", "probability": 0.9391276041666666}, {"start": 1454.89, "end": 1455.15, "word": " فلما", "probability": 0.912109375}, {"start": 1455.15, "end": 1455.51, "word": " نضرب", "probability": 0.9811197916666666}, {"start": 1455.51, "end": 1455.81, "word": " أي", "probability": 0.8203125}, {"start": 1455.81, "end": 1456.19, "word": " قيمة", "probability": 0.99267578125}, {"start": 1456.19, "end": 1456.29, "word": " في", "probability": 0.9892578125}, {"start": 1456.29, "end": 1456.75, "word": " واحد،", "probability": 0.9581705729166666}, {"start": 1456.75, "end": 1457.17, "word": " بتضلها", "probability": 0.77001953125}, {"start": 1457.17, "end": 1457.45, "word": " زي", "probability": 0.993408203125}, {"start": 1457.45, "end": 1457.61, "word": " ما", "probability": 0.9462890625}, {"start": 1457.61, "end": 1457.83, "word": " هي", "probability": 0.8564453125}], "temperature": 1.0}, {"id": 59, "seek": 147901, "start": 1458.33, "end": 1479.01, "text": "But in the rest of the things, in water, in glass, in any optical medium, the reduced vergence will have a numerical value higher than the vergence, so why? Because it is always higher than one which is in space Okay, why do scientists call it reduced vergence? Actually the name is wrong", "tokens": [7835, 294, 264, 1472, 295, 264, 721, 11, 294, 1281, 11, 294, 4276, 11, 294, 604, 20674, 6399, 11, 264, 9212, 1306, 15260, 486, 362, 257, 29054, 2158, 2946, 813, 264, 1306, 15260, 11, 370, 983, 30, 1436, 309, 307, 1009, 2946, 813, 472, 597, 307, 294, 1901, 1033, 11, 983, 360, 7708, 818, 309, 9212, 1306, 15260, 30, 5135, 264, 1315, 307, 2085], "avg_logprob": -0.4189903846153846, "compression_ratio": 1.6179775280898876, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 1458.33, "end": 1458.57, "word": "But", "probability": 0.677734375}, {"start": 1458.57, "end": 1458.85, "word": " in", "probability": 0.6708984375}, {"start": 1458.85, "end": 1458.93, "word": " the", "probability": 0.315673828125}, {"start": 1458.93, "end": 1459.15, "word": " rest", "probability": 0.8330078125}, {"start": 1459.15, "end": 1459.27, "word": " of", "probability": 0.9658203125}, {"start": 1459.27, "end": 1459.37, "word": " the", "probability": 0.328857421875}, {"start": 1459.37, "end": 1459.69, "word": " things,", "probability": 0.6865234375}, {"start": 1459.99, "end": 1460.05, "word": " in", "probability": 0.6630859375}, {"start": 1460.05, "end": 1460.49, "word": " water,", "probability": 0.7529296875}, {"start": 1460.77, "end": 1460.81, "word": " in", "probability": 0.6220703125}, {"start": 1460.81, "end": 1461.15, "word": " glass,", "probability": 0.85498046875}, {"start": 1461.51, "end": 1461.63, "word": " in", "probability": 0.9248046875}, {"start": 1461.63, "end": 1461.97, "word": " any", "probability": 0.921875}, {"start": 1461.97, "end": 1462.95, "word": " optical", "probability": 0.8876953125}, {"start": 1462.95, "end": 1463.53, "word": " medium,", "probability": 0.9169921875}, {"start": 1463.97, "end": 1464.09, "word": " the", "probability": 0.6435546875}, {"start": 1464.09, "end": 1464.49, "word": " reduced", "probability": 0.91064453125}, {"start": 1464.49, "end": 1465.13, "word": " vergence", "probability": 0.64111328125}, {"start": 1465.13, "end": 1465.61, "word": " will", "probability": 0.58837890625}, {"start": 1465.61, "end": 1465.91, "word": " have", "probability": 0.423095703125}, {"start": 1465.91, "end": 1466.43, "word": " a", "probability": 0.73388671875}, {"start": 1466.43, "end": 1466.67, "word": " numerical", "probability": 0.5849609375}, {"start": 1466.67, "end": 1466.97, "word": " value", "probability": 0.97705078125}, {"start": 1466.97, "end": 1467.51, "word": " higher", "probability": 0.77099609375}, {"start": 1467.51, "end": 1467.75, "word": " than", "probability": 0.9462890625}, {"start": 1467.75, "end": 1467.99, "word": " the", "probability": 0.72021484375}, {"start": 1467.99, "end": 1468.47, "word": " vergence,", "probability": 0.882080078125}, {"start": 1468.83, "end": 1468.89, "word": " so", "probability": 0.4345703125}, {"start": 1468.89, "end": 1469.43, "word": " why?", "probability": 0.4716796875}, {"start": 1469.87, "end": 1470.39, "word": " Because", "probability": 0.87255859375}, {"start": 1470.39, "end": 1471.09, "word": " it", "probability": 0.252685546875}, {"start": 1471.09, "end": 1471.09, "word": " is", "probability": 0.460693359375}, {"start": 1471.09, "end": 1471.09, "word": " always", "probability": 0.87109375}, {"start": 1471.09, "end": 1471.99, "word": " higher", "probability": 0.6962890625}, {"start": 1471.99, "end": 1472.21, "word": " than", "probability": 0.94873046875}, {"start": 1472.21, "end": 1472.71, "word": " one", "probability": 0.80126953125}, {"start": 1472.71, "end": 1473.13, "word": " which", "probability": 0.125244140625}, {"start": 1473.13, "end": 1473.19, "word": " is", "probability": 0.53466796875}, {"start": 1473.19, "end": 1473.73, "word": " in", "probability": 0.1907958984375}, {"start": 1473.73, "end": 1474.15, "word": " space", "probability": 0.697265625}, {"start": 1474.15, "end": 1474.63, "word": " Okay,", "probability": 0.41064453125}, {"start": 1474.87, "end": 1475.19, "word": " why", "probability": 0.8671875}, {"start": 1475.19, "end": 1475.25, "word": " do", "probability": 0.2391357421875}, {"start": 1475.25, "end": 1475.61, "word": " scientists", "probability": 0.81103515625}, {"start": 1475.61, "end": 1476.31, "word": " call", "probability": 0.765625}, {"start": 1476.31, "end": 1476.43, "word": " it", "probability": 0.8876953125}, {"start": 1476.43, "end": 1476.77, "word": " reduced", "probability": 0.83935546875}, {"start": 1476.77, "end": 1477.29, "word": " vergence?", "probability": 0.89990234375}, {"start": 1477.71, "end": 1478.15, "word": " Actually", "probability": 0.552734375}, {"start": 1478.15, "end": 1478.35, "word": " the", "probability": 0.50634765625}, {"start": 1478.35, "end": 1478.59, "word": " name", "probability": 0.85888671875}, {"start": 1478.59, "end": 1478.71, "word": " is", "probability": 0.939453125}, {"start": 1478.71, "end": 1479.01, "word": " wrong", "probability": 0.89208984375}], "temperature": 1.0}, {"id": 60, "seek": 149426, "start": 1479.5, "end": 1494.26, "text": "و لكن الاسم متجذر تاريخيا لدرجة ان العلماء تركوه زي ما هو و يعني هو متعارف عليه من زمان قديم و متجذر تاريخيا لدرجة انه صعب تغيره، صعب تغيره، اذا", "tokens": [2407, 44381, 2423, 32277, 2304, 44650, 7435, 8848, 2288, 6055, 9640, 1829, 9778, 25528, 5296, 3215, 47341, 3660, 16472, 18863, 19528, 16606, 6055, 31747, 2407, 3224, 30767, 1829, 19446, 31439, 4032, 37495, 22653, 31439, 44650, 3615, 9640, 5172, 47356, 9154, 30767, 2304, 7649, 12174, 16254, 2304, 4032, 44650, 7435, 8848, 2288, 6055, 9640, 1829, 9778, 25528, 5296, 3215, 47341, 3660, 16472, 3224, 20328, 3615, 3555, 6055, 17082, 13546, 3224, 12399, 20328, 3615, 3555, 6055, 17082, 13546, 3224, 12399, 1975, 15730], "avg_logprob": -0.11699460170887134, "compression_ratio": 1.8633093525179856, "no_speech_prob": 3.337860107421875e-06, "words": [{"start": 1479.5, "end": 1479.66, "word": "و", "probability": 0.1707763671875}, {"start": 1479.66, "end": 1479.96, "word": " لكن", "probability": 0.86669921875}, {"start": 1479.96, "end": 1480.42, "word": " الاسم", "probability": 0.9285481770833334}, {"start": 1480.42, "end": 1481.32, "word": " متجذر", "probability": 0.9544677734375}, {"start": 1481.32, "end": 1482.16, "word": " تاريخيا", "probability": 0.9861328125}, {"start": 1482.16, "end": 1482.84, "word": " لدرجة", "probability": 0.989013671875}, {"start": 1482.84, "end": 1483.52, "word": " ان", "probability": 0.517578125}, {"start": 1483.52, "end": 1484.0, "word": " العلماء", "probability": 0.91259765625}, {"start": 1484.0, "end": 1484.54, "word": " تركوه", "probability": 0.9154052734375}, {"start": 1484.54, "end": 1484.68, "word": " زي", "probability": 0.9248046875}, {"start": 1484.68, "end": 1484.76, "word": " ما", "probability": 0.9248046875}, {"start": 1484.76, "end": 1485.06, "word": " هو", "probability": 0.990234375}, {"start": 1485.06, "end": 1485.76, "word": " و", "probability": 0.8154296875}, {"start": 1485.76, "end": 1487.16, "word": " يعني", "probability": 0.6776123046875}, {"start": 1487.16, "end": 1487.48, "word": " هو", "probability": 0.93359375}, {"start": 1487.48, "end": 1488.1, "word": " متعارف", "probability": 0.90966796875}, {"start": 1488.1, "end": 1488.3, "word": " عليه", "probability": 0.85791015625}, {"start": 1488.3, "end": 1488.5, "word": " من", "probability": 0.99169921875}, {"start": 1488.5, "end": 1488.8, "word": " زمان", "probability": 0.8458658854166666}, {"start": 1488.8, "end": 1489.36, "word": " قديم", "probability": 0.9793294270833334}, {"start": 1489.36, "end": 1489.82, "word": " و", "probability": 0.96044921875}, {"start": 1489.82, "end": 1490.5, "word": " متجذر", "probability": 0.9866943359375}, {"start": 1490.5, "end": 1491.08, "word": " تاريخيا", "probability": 0.9951171875}, {"start": 1491.08, "end": 1491.6, "word": " لدرجة", "probability": 0.9932861328125}, {"start": 1491.6, "end": 1491.86, "word": " انه", "probability": 0.919189453125}, {"start": 1491.86, "end": 1492.24, "word": " صعب", "probability": 0.9952799479166666}, {"start": 1492.24, "end": 1493.16, "word": " تغيره،", "probability": 0.85869140625}, {"start": 1493.16, "end": 1493.48, "word": " صعب", "probability": 0.9825846354166666}, {"start": 1493.48, "end": 1494.04, "word": " تغيره،", "probability": 0.95732421875}, {"start": 1494.04, "end": 1494.26, "word": " اذا", "probability": 0.83251953125}], "temperature": 1.0}, {"id": 61, "seek": 151331, "start": 1495.19, "end": 1513.31, "text": "reduced vergence is vergence multiplied مضروبا في refractive index of the median. This term is confusing هذا المصطلح reduced vergence ال vergence المختصر او المختزل بخربط ليش لأنه reduced vergence رقميا اعلى من ال vergence نفسه", "tokens": [265, 769, 1232, 1306, 15260, 307, 1306, 15260, 17207, 3714, 11242, 32887, 3555, 995, 8978, 45353, 488, 8186, 295, 264, 26779, 13, 639, 1433, 307, 13181, 23758, 9673, 9381, 9566, 1211, 5016, 9212, 1306, 15260, 2423, 1306, 15260, 9673, 46456, 9381, 2288, 1975, 2407, 9673, 46456, 11622, 1211, 4724, 9778, 25513, 9566, 32239, 8592, 5296, 33456, 3224, 9212, 1306, 15260, 12602, 4587, 2304, 25528, 1975, 3615, 23942, 9154, 2423, 1306, 15260, 8717, 36178, 3224], "avg_logprob": -0.2379166626930237, "compression_ratio": 1.5449735449735449, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 1495.19, "end": 1495.87, "word": "reduced", "probability": 0.7714029947916666}, {"start": 1495.87, "end": 1496.39, "word": " vergence", "probability": 0.6270751953125}, {"start": 1496.39, "end": 1497.01, "word": " is", "probability": 0.9267578125}, {"start": 1497.01, "end": 1497.61, "word": " vergence", "probability": 0.874755859375}, {"start": 1497.61, "end": 1498.59, "word": " multiplied", "probability": 0.76318359375}, {"start": 1498.59, "end": 1499.21, "word": " مضروبا", "probability": 0.68988037109375}, {"start": 1499.21, "end": 1499.33, "word": " في", "probability": 0.70263671875}, {"start": 1499.33, "end": 1499.99, "word": " refractive", "probability": 0.8095703125}, {"start": 1499.99, "end": 1500.39, "word": " index", "probability": 0.8818359375}, {"start": 1500.39, "end": 1500.63, "word": " of", "probability": 0.94970703125}, {"start": 1500.63, "end": 1500.81, "word": " the", "probability": 0.91845703125}, {"start": 1500.81, "end": 1501.21, "word": " median.", "probability": 0.84521484375}, {"start": 1501.83, "end": 1502.05, "word": " This", "probability": 0.7451171875}, {"start": 1502.05, "end": 1502.47, "word": " term", "probability": 0.92919921875}, {"start": 1502.47, "end": 1502.67, "word": " is", "probability": 0.9560546875}, {"start": 1502.67, "end": 1503.41, "word": " confusing", "probability": 0.97119140625}, {"start": 1503.41, "end": 1503.75, "word": " هذا", "probability": 0.393798828125}, {"start": 1503.75, "end": 1504.45, "word": " المصطلح", "probability": 0.96611328125}, {"start": 1504.45, "end": 1504.91, "word": " reduced", "probability": 0.87353515625}, {"start": 1504.91, "end": 1505.43, "word": " vergence", "probability": 0.874755859375}, {"start": 1505.43, "end": 1505.61, "word": " ال", "probability": 0.560546875}, {"start": 1505.61, "end": 1506.01, "word": " vergence", "probability": 0.6815185546875}, {"start": 1506.01, "end": 1506.77, "word": " المختصر", "probability": 0.9525146484375}, {"start": 1506.77, "end": 1507.19, "word": " او", "probability": 0.783203125}, {"start": 1507.19, "end": 1507.91, "word": " المختزل", "probability": 0.91650390625}, {"start": 1507.91, "end": 1509.07, "word": " بخربط", "probability": 0.87548828125}, {"start": 1509.07, "end": 1509.41, "word": " ليش", "probability": 0.6158447265625}, {"start": 1509.41, "end": 1509.79, "word": " لأنه", "probability": 0.6067708333333334}, {"start": 1509.79, "end": 1510.13, "word": " reduced", "probability": 0.95068359375}, {"start": 1510.13, "end": 1510.75, "word": " vergence", "probability": 0.93603515625}, {"start": 1510.75, "end": 1511.53, "word": " رقميا", "probability": 0.9854736328125}, {"start": 1511.53, "end": 1512.09, "word": " اعلى", "probability": 0.8173828125}, {"start": 1512.09, "end": 1512.25, "word": " من", "probability": 0.99169921875}, {"start": 1512.25, "end": 1512.39, "word": " ال", "probability": 0.9599609375}, {"start": 1512.39, "end": 1512.79, "word": " vergence", "probability": 0.809814453125}, {"start": 1512.79, "end": 1513.31, "word": " نفسه", "probability": 0.99609375}], "temperature": 1.0}, {"id": 62, "seek": 153706, "start": 1513.62, "end": 1537.06, "text": "احنا في الطبيعة لما نقول إشي مختزل أو مختصر نقول ملخص أو مختزل يعني واحد اختزل كتاب 500 صفحة لما بنسمع كلمة اختزل معناته عدد الصفحات قل بس هنا في هذه القضية ال reduced versions دائما أكبر من ال virgins هنا ضريب لمثال أنه لما بيكون في أشعة متجمعة و رايحة على بعد متر", "tokens": [39319, 8315, 8978, 41950, 21292, 27884, 5296, 15042, 8717, 39648, 11933, 8592, 1829, 3714, 46456, 11622, 1211, 34051, 3714, 46456, 9381, 2288, 8717, 39648, 3714, 1211, 9778, 9381, 34051, 3714, 46456, 11622, 1211, 37495, 22653, 36764, 24401, 1975, 46456, 11622, 1211, 9122, 2655, 16758, 5923, 20328, 5172, 5016, 3660, 5296, 15042, 44945, 38251, 3615, 9122, 19528, 3660, 1975, 46456, 11622, 1211, 20449, 8315, 47395, 6225, 3215, 3215, 31767, 5172, 5016, 9307, 12174, 1211, 4724, 3794, 34105, 8978, 29538, 25062, 11242, 10632, 2423, 9212, 9606, 11778, 16373, 15042, 5551, 4117, 26890, 9154, 2423, 4107, 23320, 34105, 48812, 16572, 3555, 5296, 2304, 12984, 6027, 14739, 3224, 5296, 15042, 4724, 1829, 30544, 8978, 5551, 8592, 27884, 44650, 7435, 2304, 27884, 4032, 12602, 47302, 5016, 3660, 15844, 39182, 44650, 2288], "avg_logprob": -0.15452756093242975, "compression_ratio": 1.7587548638132295, "no_speech_prob": 1.7881393432617188e-06, "words": [{"start": 1513.62, "end": 1513.8, "word": "احنا", "probability": 0.5168914794921875}, {"start": 1513.8, "end": 1513.94, "word": " في", "probability": 0.84619140625}, {"start": 1513.94, "end": 1514.34, "word": " الطبيعة", "probability": 0.8953450520833334}, {"start": 1514.34, "end": 1514.48, "word": " لما", "probability": 0.838623046875}, {"start": 1514.48, "end": 1514.72, "word": " نقول", "probability": 0.81689453125}, {"start": 1514.72, "end": 1515.02, "word": " إشي", "probability": 0.7755533854166666}, {"start": 1515.02, "end": 1515.62, "word": " مختزل", "probability": 0.964111328125}, {"start": 1515.62, "end": 1515.84, "word": " أو", "probability": 0.89404296875}, {"start": 1515.84, "end": 1516.52, "word": " مختصر", "probability": 0.9368896484375}, {"start": 1516.52, "end": 1517.02, "word": " نقول", "probability": 0.7469482421875}, {"start": 1517.02, "end": 1517.7, "word": " ملخص", "probability": 0.9820556640625}, {"start": 1517.7, "end": 1517.9, "word": " أو", "probability": 0.90673828125}, {"start": 1517.9, "end": 1518.54, "word": " مختزل", "probability": 0.992431640625}, {"start": 1518.54, "end": 1518.98, "word": " يعني", "probability": 0.79150390625}, {"start": 1518.98, "end": 1519.3, "word": " واحد", "probability": 0.968017578125}, {"start": 1519.3, "end": 1519.76, "word": " اختزل", "probability": 0.96533203125}, {"start": 1519.76, "end": 1520.1, "word": " كتاب", "probability": 0.9944661458333334}, {"start": 1520.1, "end": 1520.44, "word": " 500", "probability": 0.51708984375}, {"start": 1520.44, "end": 1521.12, "word": " صفحة", "probability": 0.968017578125}, {"start": 1521.12, "end": 1521.56, "word": " لما", "probability": 0.8896484375}, {"start": 1521.56, "end": 1521.94, "word": " بنسمع", "probability": 0.943359375}, {"start": 1521.94, "end": 1522.24, "word": " كلمة", "probability": 0.98779296875}, {"start": 1522.24, "end": 1522.68, "word": " اختزل", "probability": 0.9769287109375}, {"start": 1522.68, "end": 1523.0, "word": " معناته", "probability": 0.83056640625}, {"start": 1523.0, "end": 1523.26, "word": " عدد", "probability": 0.9737955729166666}, {"start": 1523.26, "end": 1523.86, "word": " الصفحات", "probability": 0.978759765625}, {"start": 1523.86, "end": 1524.2, "word": " قل", "probability": 0.927001953125}, {"start": 1524.2, "end": 1524.86, "word": " بس", "probability": 0.673828125}, {"start": 1524.86, "end": 1525.08, "word": " هنا", "probability": 0.9521484375}, {"start": 1525.08, "end": 1525.22, "word": " في", "probability": 0.8740234375}, {"start": 1525.22, "end": 1525.42, "word": " هذه", "probability": 0.8359375}, {"start": 1525.42, "end": 1526.0, "word": " القضية", "probability": 0.9890950520833334}, {"start": 1526.0, "end": 1526.54, "word": " ال", "probability": 0.58740234375}, {"start": 1526.54, "end": 1526.9, "word": " reduced", "probability": 0.8544921875}, {"start": 1526.9, "end": 1527.4, "word": " versions", "probability": 0.341796875}, {"start": 1527.4, "end": 1528.0, "word": " دائما", "probability": 0.9080403645833334}, {"start": 1528.0, "end": 1528.9, "word": " أكبر", "probability": 0.8974609375}, {"start": 1528.9, "end": 1529.08, "word": " من", "probability": 0.99560546875}, {"start": 1529.08, "end": 1529.22, "word": " ال", "probability": 0.9775390625}, {"start": 1529.22, "end": 1529.58, "word": " virgins", "probability": 0.6258544921875}, {"start": 1529.58, "end": 1530.02, "word": " هنا", "probability": 0.8779296875}, {"start": 1530.02, "end": 1530.34, "word": " ضريب", "probability": 0.86328125}, {"start": 1530.34, "end": 1530.96, "word": " لمثال", "probability": 0.76849365234375}, {"start": 1530.96, "end": 1531.26, "word": " أنه", "probability": 0.745361328125}, {"start": 1531.26, "end": 1531.42, "word": " لما", "probability": 0.987060546875}, {"start": 1531.42, "end": 1531.8, "word": " بيكون", "probability": 0.88525390625}, {"start": 1531.8, "end": 1532.08, "word": " في", "probability": 0.9345703125}, {"start": 1532.08, "end": 1533.16, "word": " أشعة", "probability": 0.9283854166666666}, {"start": 1533.16, "end": 1534.34, "word": " متجمعة", "probability": 0.9530029296875}, {"start": 1534.34, "end": 1534.88, "word": " و", "probability": 0.99560546875}, {"start": 1534.88, "end": 1535.6, "word": " رايحة", "probability": 0.8829345703125}, {"start": 1535.6, "end": 1536.12, "word": " على", "probability": 0.93603515625}, {"start": 1536.12, "end": 1536.48, "word": " بعد", "probability": 0.8232421875}, {"start": 1536.48, "end": 1537.06, "word": " متر", "probability": 0.896484375}], "temperature": 1.0}, {"id": 63, "seek": 156129, "start": 1537.39, "end": 1561.29, "text": "meter from the image, the reduced vergence will be plus one diopter and the reduced vergence will be one and a half diopters as we explained in the drawing and calculated it very clearly so confusing or not, whether you get confused or not, the term reduced vergence is too well-intentioned to be changed", "tokens": [33058, 490, 264, 3256, 11, 264, 9212, 1306, 15260, 486, 312, 1804, 472, 1026, 404, 391, 293, 264, 9212, 1306, 15260, 486, 312, 472, 293, 257, 1922, 1026, 404, 1559, 382, 321, 8825, 294, 264, 6316, 293, 15598, 309, 588, 4448, 370, 13181, 420, 406, 11, 1968, 291, 483, 9019, 420, 406, 11, 264, 1433, 9212, 1306, 15260, 307, 886, 731, 12, 686, 1251, 292, 281, 312, 3105], "avg_logprob": -0.4395380331122357, "compression_ratio": 1.7988165680473374, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1537.39, "end": 1537.79, "word": "meter", "probability": 0.443603515625}, {"start": 1537.79, "end": 1538.29, "word": " from", "probability": 0.59912109375}, {"start": 1538.29, "end": 1538.43, "word": " the", "probability": 0.818359375}, {"start": 1538.43, "end": 1538.81, "word": " image,", "probability": 0.83056640625}, {"start": 1539.13, "end": 1539.47, "word": " the", "probability": 0.4365234375}, {"start": 1539.47, "end": 1539.93, "word": " reduced", "probability": 0.5576171875}, {"start": 1539.93, "end": 1540.65, "word": " vergence", "probability": 0.592041015625}, {"start": 1540.65, "end": 1540.85, "word": " will", "probability": 0.334228515625}, {"start": 1540.85, "end": 1540.95, "word": " be", "probability": 0.859375}, {"start": 1540.95, "end": 1541.29, "word": " plus", "probability": 0.4443359375}, {"start": 1541.29, "end": 1541.55, "word": " one", "probability": 0.72265625}, {"start": 1541.55, "end": 1542.07, "word": " diopter", "probability": 0.90966796875}, {"start": 1542.07, "end": 1542.49, "word": " and", "probability": 0.54638671875}, {"start": 1542.49, "end": 1542.59, "word": " the", "probability": 0.6845703125}, {"start": 1542.59, "end": 1542.91, "word": " reduced", "probability": 0.9169921875}, {"start": 1542.91, "end": 1543.41, "word": " vergence", "probability": 0.94384765625}, {"start": 1543.41, "end": 1543.55, "word": " will", "probability": 0.470703125}, {"start": 1543.55, "end": 1543.55, "word": " be", "probability": 0.9365234375}, {"start": 1543.55, "end": 1543.73, "word": " one", "probability": 0.88232421875}, {"start": 1543.73, "end": 1543.95, "word": " and", "probability": 0.84765625}, {"start": 1543.95, "end": 1543.95, "word": " a", "probability": 0.6591796875}, {"start": 1543.95, "end": 1544.01, "word": " half", "probability": 0.87353515625}, {"start": 1544.01, "end": 1544.47, "word": " diopters", "probability": 0.8211263020833334}, {"start": 1544.47, "end": 1544.65, "word": " as", "probability": 0.354248046875}, {"start": 1544.65, "end": 1544.95, "word": " we", "probability": 0.55029296875}, {"start": 1544.95, "end": 1545.77, "word": " explained", "probability": 0.225830078125}, {"start": 1545.77, "end": 1545.95, "word": " in", "probability": 0.57275390625}, {"start": 1545.95, "end": 1545.95, "word": " the", "probability": 0.69775390625}, {"start": 1545.95, "end": 1545.95, "word": " drawing", "probability": 0.541015625}, {"start": 1545.95, "end": 1546.07, "word": " and", "probability": 0.54736328125}, {"start": 1546.07, "end": 1546.41, "word": " calculated", "probability": 0.8193359375}, {"start": 1546.41, "end": 1547.11, "word": " it", "probability": 0.406005859375}, {"start": 1547.11, "end": 1547.73, "word": " very", "probability": 0.42529296875}, {"start": 1547.73, "end": 1548.57, "word": " clearly", "probability": 0.81884765625}, {"start": 1548.57, "end": 1549.33, "word": " so", "probability": 0.1878662109375}, {"start": 1549.33, "end": 1550.61, "word": " confusing", "probability": 0.60009765625}, {"start": 1550.61, "end": 1551.37, "word": " or", "probability": 0.9599609375}, {"start": 1551.37, "end": 1551.61, "word": " not,", "probability": 0.94482421875}, {"start": 1551.71, "end": 1551.83, "word": " whether", "probability": 0.73486328125}, {"start": 1551.83, "end": 1552.09, "word": " you", "probability": 0.435302734375}, {"start": 1552.09, "end": 1552.15, "word": " get", "probability": 0.306640625}, {"start": 1552.15, "end": 1552.37, "word": " confused", "probability": 0.58984375}, {"start": 1552.37, "end": 1552.63, "word": " or", "probability": 0.89794921875}, {"start": 1552.63, "end": 1553.23, "word": " not,", "probability": 0.86376953125}, {"start": 1553.57, "end": 1553.69, "word": " the", "probability": 0.8818359375}, {"start": 1553.69, "end": 1554.09, "word": " term", "probability": 0.9296875}, {"start": 1554.09, "end": 1554.81, "word": " reduced", "probability": 0.85498046875}, {"start": 1554.81, "end": 1555.45, "word": " vergence", "probability": 0.96142578125}, {"start": 1555.45, "end": 1558.53, "word": " is", "probability": 0.40576171875}, {"start": 1558.53, "end": 1559.03, "word": " too", "probability": 0.8935546875}, {"start": 1559.03, "end": 1559.45, "word": " well", "probability": 0.8984375}, {"start": 1559.45, "end": 1560.29, "word": "-intentioned", "probability": 0.764312744140625}, {"start": 1560.29, "end": 1560.41, "word": " to", "probability": 0.953125}, {"start": 1560.41, "end": 1560.67, "word": " be", "probability": 0.93603515625}, {"start": 1560.67, "end": 1561.29, "word": " changed", "probability": 0.77783203125}], "temperature": 1.0}, {"id": 64, "seek": 158647, "start": 1565.29, "end": 1586.47, "text": "Changed يعني متجذر جدا لدرجة لا يمكن تغييره فبالتالي بدنا نفهم أنه رقميا ال reduced versions أكبر من ال versions أكبر من ال versions المرة القادمة هنعرف يعني كيف أنه ال lens makers equation ممكن أنا أعبر عنها أعبر عنها", "tokens": [6546, 10296, 37495, 22653, 44650, 7435, 8848, 2288, 10874, 28259, 5296, 3215, 47341, 3660, 20193, 7251, 43020, 6055, 17082, 1829, 13546, 3224, 6156, 3555, 6027, 2655, 6027, 1829, 47525, 8315, 8717, 5172, 16095, 14739, 3224, 12602, 4587, 2304, 25528, 2423, 9212, 9606, 5551, 4117, 26890, 9154, 2423, 9606, 5551, 4117, 26890, 9154, 2423, 9606, 9673, 25720, 25062, 18513, 46007, 8032, 1863, 3615, 28480, 37495, 22653, 9122, 33911, 14739, 3224, 2423, 6765, 19323, 5367, 3714, 43020, 41850, 5551, 3615, 26890, 18871, 11296, 5551, 3615, 26890, 18871, 11296], "avg_logprob": -0.1512212701912584, "compression_ratio": 1.739795918367347, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 1565.29, "end": 1565.87, "word": "Changed", "probability": 0.6181640625}, {"start": 1565.87, "end": 1566.95, "word": " يعني", "probability": 0.659912109375}, {"start": 1566.95, "end": 1567.71, "word": " متجذر", "probability": 0.94970703125}, {"start": 1567.71, "end": 1568.05, "word": " جدا", "probability": 0.971923828125}, {"start": 1568.05, "end": 1568.65, "word": " لدرجة", "probability": 0.9886474609375}, {"start": 1568.65, "end": 1568.85, "word": " لا", "probability": 0.77734375}, {"start": 1568.85, "end": 1569.35, "word": " يمكن", "probability": 0.876220703125}, {"start": 1569.35, "end": 1570.19, "word": " تغييره", "probability": 0.88408203125}, {"start": 1570.19, "end": 1570.69, "word": " فبالتالي", "probability": 0.8506266276041666}, {"start": 1570.69, "end": 1570.91, "word": " بدنا", "probability": 0.868896484375}, {"start": 1570.91, "end": 1571.25, "word": " نفهم", "probability": 0.98681640625}, {"start": 1571.25, "end": 1571.61, "word": " أنه", "probability": 0.6715087890625}, {"start": 1571.61, "end": 1572.17, "word": " رقميا", "probability": 0.980712890625}, {"start": 1572.17, "end": 1572.35, "word": " ال", "probability": 0.389892578125}, {"start": 1572.35, "end": 1572.73, "word": " reduced", "probability": 0.85693359375}, {"start": 1572.73, "end": 1573.23, "word": " versions", "probability": 0.76953125}, {"start": 1573.23, "end": 1573.91, "word": " أكبر", "probability": 0.96533203125}, {"start": 1573.91, "end": 1574.25, "word": " من", "probability": 0.9921875}, {"start": 1574.25, "end": 1574.79, "word": " ال", "probability": 0.953125}, {"start": 1574.79, "end": 1575.13, "word": " versions", "probability": 0.5771484375}, {"start": 1575.13, "end": 1575.71, "word": " أكبر", "probability": 0.9314778645833334}, {"start": 1575.71, "end": 1576.09, "word": " من", "probability": 0.99365234375}, {"start": 1576.09, "end": 1576.41, "word": " ال", "probability": 0.81201171875}, {"start": 1576.41, "end": 1576.99, "word": " versions", "probability": 0.68212890625}, {"start": 1576.99, "end": 1577.97, "word": " المرة", "probability": 0.9384765625}, {"start": 1577.97, "end": 1578.51, "word": " القادمة", "probability": 0.9886067708333334}, {"start": 1578.51, "end": 1579.25, "word": " هنعرف", "probability": 0.938720703125}, {"start": 1579.25, "end": 1580.01, "word": " يعني", "probability": 0.939697265625}, {"start": 1580.01, "end": 1580.35, "word": " كيف", "probability": 0.989013671875}, {"start": 1580.35, "end": 1580.79, "word": " أنه", "probability": 0.862060546875}, {"start": 1580.79, "end": 1581.29, "word": " ال", "probability": 0.875}, {"start": 1581.29, "end": 1581.73, "word": " lens", "probability": 0.8173828125}, {"start": 1581.73, "end": 1582.17, "word": " makers", "probability": 0.4248046875}, {"start": 1582.17, "end": 1582.89, "word": " equation", "probability": 0.9697265625}, {"start": 1582.89, "end": 1583.73, "word": " ممكن", "probability": 0.98828125}, {"start": 1583.73, "end": 1584.01, "word": " أنا", "probability": 0.751953125}, {"start": 1584.01, "end": 1584.65, "word": " أعبر", "probability": 0.8346354166666666}, {"start": 1584.65, "end": 1585.13, "word": " عنها", "probability": 0.996826171875}, {"start": 1585.13, "end": 1586.03, "word": " أعبر", "probability": 0.8795572916666666}, {"start": 1586.03, "end": 1586.47, "word": " عنها", "probability": 0.9970703125}], "temperature": 1.0}, {"id": 65, "seek": 160773, "start": 1586.75, "end": 1607.73, "text": "بطريقة ال versions اللي احنا شرحناها بطريقة الحالة التشتتية للضوء بطريقة الحالة يعني المرة الجاية كيف أصيغ ال lens makers equation مرة أخرى بس من مفهوم أو من رؤية ال versions of light و يعطيكم العافية والسلام عليكم ورحمة الله وبركاته", "tokens": [3555, 9566, 16572, 28671, 2423, 9606, 13672, 1829, 1975, 5016, 8315, 13412, 2288, 5016, 8315, 11296, 4724, 9566, 16572, 28671, 21542, 6027, 3660, 16712, 8592, 2655, 2655, 10632, 24976, 11242, 2407, 38207, 4724, 9566, 16572, 28671, 21542, 6027, 3660, 37495, 22653, 9673, 25720, 25724, 995, 10632, 9122, 33911, 5551, 9381, 1829, 17082, 2423, 6765, 19323, 5367, 3714, 25720, 5551, 34740, 7578, 4724, 3794, 9154, 3714, 5172, 3224, 20498, 34051, 9154, 12602, 33604, 10632, 2423, 9606, 295, 1442, 4032, 37495, 9566, 1829, 24793, 18863, 31845, 10632, 16070, 3794, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224], "avg_logprob": -0.14580755245567548, "compression_ratio": 1.7906976744186047, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 1586.75, "end": 1587.65, "word": "بطريقة", "probability": 0.833984375}, {"start": 1587.65, "end": 1588.29, "word": " ال", "probability": 0.98681640625}, {"start": 1588.29, "end": 1588.83, "word": " versions", "probability": 0.14013671875}, {"start": 1588.83, "end": 1590.25, "word": " اللي", "probability": 0.81396484375}, {"start": 1590.25, "end": 1590.47, "word": " احنا", "probability": 0.9215494791666666}, {"start": 1590.47, "end": 1591.03, "word": " شرحناها", "probability": 0.96669921875}, {"start": 1591.03, "end": 1591.59, "word": " بطريقة", "probability": 0.8631591796875}, {"start": 1591.59, "end": 1592.03, "word": " الحالة", "probability": 0.9869791666666666}, {"start": 1592.03, "end": 1592.87, "word": " التشتتية", "probability": 0.89423828125}, {"start": 1592.87, "end": 1593.67, "word": " للضوء", "probability": 0.9140625}, {"start": 1593.67, "end": 1594.43, "word": " بطريقة", "probability": 0.8839111328125}, {"start": 1594.43, "end": 1594.83, "word": " الحالة", "probability": 0.771484375}, {"start": 1594.83, "end": 1594.93, "word": " يعني", "probability": 0.5897216796875}, {"start": 1594.93, "end": 1595.21, "word": " المرة", "probability": 0.883056640625}, {"start": 1595.21, "end": 1595.67, "word": " الجاية", "probability": 0.9334309895833334}, {"start": 1595.67, "end": 1596.31, "word": " كيف", "probability": 0.971435546875}, {"start": 1596.31, "end": 1596.87, "word": " أصيغ", "probability": 0.829833984375}, {"start": 1596.87, "end": 1597.01, "word": " ال", "probability": 0.64599609375}, {"start": 1597.01, "end": 1597.33, "word": " lens", "probability": 0.9169921875}, {"start": 1597.33, "end": 1597.87, "word": " makers", "probability": 0.62890625}, {"start": 1597.87, "end": 1598.51, "word": " equation", "probability": 0.98583984375}, {"start": 1598.51, "end": 1598.95, "word": " مرة", "probability": 0.99365234375}, {"start": 1598.95, "end": 1599.97, "word": " أخرى", "probability": 0.9534505208333334}, {"start": 1599.97, "end": 1600.55, "word": " بس", "probability": 0.9814453125}, {"start": 1600.55, "end": 1600.87, "word": " من", "probability": 0.99462890625}, {"start": 1600.87, "end": 1601.55, "word": " مفهوم", "probability": 0.9803466796875}, {"start": 1601.55, "end": 1601.89, "word": " أو", "probability": 0.63330078125}, {"start": 1601.89, "end": 1602.15, "word": " من", "probability": 0.95068359375}, {"start": 1602.15, "end": 1602.63, "word": " رؤية", "probability": 0.9931640625}, {"start": 1602.63, "end": 1603.15, "word": " ال", "probability": 0.85107421875}, {"start": 1603.15, "end": 1603.55, "word": " versions", "probability": 0.8701171875}, {"start": 1603.55, "end": 1604.05, "word": " of", "probability": 0.9912109375}, {"start": 1604.05, "end": 1604.37, "word": " light", "probability": 0.9248046875}, {"start": 1604.37, "end": 1604.51, "word": " و", "probability": 0.845703125}, {"start": 1604.51, "end": 1604.87, "word": " يعطيكم", "probability": 0.848388671875}, {"start": 1604.87, "end": 1605.33, "word": " العافية", "probability": 0.9674479166666666}, {"start": 1605.33, "end": 1605.75, "word": " والسلام", "probability": 0.798583984375}, {"start": 1605.75, "end": 1606.17, "word": " عليكم", "probability": 0.926513671875}, {"start": 1606.17, "end": 1606.57, "word": " ورحمة", "probability": 0.935791015625}, {"start": 1606.57, "end": 1606.89, "word": " الله", "probability": 0.97705078125}, {"start": 1606.89, "end": 1607.73, "word": " وبركاته", "probability": 0.928125}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 1607.749625, "duration_after_vad": 1472.3781249999988}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3LETQng8kTU.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3LETQng8kTU.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5bc96062901f61d8c7a6208a3ba5ce4d0c3f6321
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3LETQng8kTU.srt
@@ -0,0 +1,96 @@
+
+1
+00:00:04,890 --> 00:00:06,030
+In the name of God, Most Gracious, Most Merciful.
+
+2
+00:00:06,850 --> 00:00:10,450
+We have an example. The object is on the left, but
+
+3
+00:00:10,450 --> 00:00:15,230
+we still don't know if it is above or below the
+
+4
+00:00:15,230 --> 00:00:19,550
+optical axis. The image is below the optical axis
+
+5
+00:00:19,550 --> 00:00:25,670
+by 15 cm. The transverse magnification is x minus
+
+6
+00:00:25,670 --> 00:00:31,150
+3. What is the object height? What is the object
+
+7
+00:00:31,150 --> 00:00:34,690
+height? We say the transference magnification is
+
+8
+00:00:34,690 --> 00:00:41,210
+equal to the image height over the object height. We
+
+9
+00:00:41,210 --> 00:00:45,090
+are looking for the object height, so the object
+
+10
+00:00:45,090 --> 00:00:48,790
+height is equal to the image height over the
+
+11
+00:00:48,790 --> 00:00:51,350
+transference magnification. We replace these
+
+12
+00:00:51,350 --> 00:00:56,940
+places with each other. So the object height is
+
+13
+00:00:56,940 --> 00:00:59,440
+equal to the image height over the transverse
+
+14
+00:00:59,440 --> 00:01:03,480
+magnification. The image height as long as it is
+
+15
+00:01:03,480 --> 00:01:06,260
+below the optical axis, I give it a minus sign.
+
+16
+00:01:07,160 --> 00:01:09,680
+Fifteen centimeters is fifteen out of one hundred
+
+17
+00:01:09,680 --> 00:01:14,740
+meters over the transverse magnification minus
+
+18
+00:01:14,740 --> 00:01:20,700
+three, which is equal to minus minus plus fifteen
+
+19
+00:01:20,700 --> 00:01:31,240
+out of one hundred meters over 3 is equal to 3
+
+20
+00:01:31,240 --> 00:01:38,180
+times 5 times 100, which is equal to plus 5 cm. So
+
+21
+00:01:38,180 --> 00:01:41,600
+the height of the object is plus 5 cm, plus means
+
+22
+00:01:41,600 --> 00:01:45,400
+above the optical axis and its height is 5 cm.
+
+23
+00:01:45,400 --> 00:01:50,780
+This is one third of the height of the bird which
+
+24
+00:01:50,780 --> 00:01:52,320
+gives you the bird's eye view.
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3LETQng8kTU_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3LETQng8kTU_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..9553a4e2b9ac48acea09c3d3eab081ffa9d9833f
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3LETQng8kTU_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2611, "start": 4.89, "end": 26.11, "text": " In the name of God, Most Gracious, Most Merciful. We have an example. The object is on the left, but we still don't know if it is above or below the optical axis. The image is below the optical axis by 15 cm. The transverse magnification is x minus 3.", "tokens": [682, 264, 1315, 295, 1265, 11, 4534, 20586, 851, 11, 4534, 18897, 2069, 13, 492, 362, 364, 1365, 13, 440, 2657, 307, 322, 264, 1411, 11, 457, 321, 920, 500, 380, 458, 498, 309, 307, 3673, 420, 2507, 264, 20674, 10298, 13, 440, 3256, 307, 2507, 264, 20674, 10298, 538, 2119, 14668, 13, 440, 1145, 4308, 4944, 3774, 307, 2031, 3175, 805, 13], "avg_logprob": -0.398193365894258, "compression_ratio": 1.4911242603550297, "no_speech_prob": 8.52346420288086e-06, "words": [{"start": 4.89, "end": 5.15, "word": " In", "probability": 0.32666015625}, {"start": 5.15, "end": 5.23, "word": " the", "probability": 0.90380859375}, {"start": 5.23, "end": 5.23, "word": " name", "probability": 0.81396484375}, {"start": 5.23, "end": 5.25, "word": " of", "probability": 0.97509765625}, {"start": 5.25, "end": 5.37, "word": " God,", "probability": 0.44873046875}, {"start": 5.45, "end": 5.57, "word": " Most", "probability": 0.322998046875}, {"start": 5.57, "end": 5.65, "word": " Gracious,", "probability": 0.875}, {"start": 5.73, "end": 5.81, "word": " Most", "probability": 0.92041015625}, {"start": 5.81, "end": 6.03, "word": " Merciful.", "probability": 0.94580078125}, {"start": 6.85, "end": 7.09, "word": " We", "probability": 0.732421875}, {"start": 7.09, "end": 7.23, "word": " have", "probability": 0.92822265625}, {"start": 7.23, "end": 7.77, "word": " an", "probability": 0.65234375}, {"start": 7.77, "end": 7.77, "word": " example.", "probability": 0.9482421875}, {"start": 8.55, "end": 9.03, "word": " The", "probability": 0.73681640625}, {"start": 9.03, "end": 9.33, "word": " object", "probability": 0.88330078125}, {"start": 9.33, "end": 9.57, "word": " is", "probability": 0.445068359375}, {"start": 9.57, "end": 9.57, "word": " on", "probability": 0.54638671875}, {"start": 9.57, "end": 9.97, "word": " the", "probability": 0.88330078125}, {"start": 9.97, "end": 9.97, "word": " left,", "probability": 0.95068359375}, {"start": 10.25, "end": 10.45, "word": " but", "probability": 0.876953125}, {"start": 10.45, "end": 10.69, "word": " we", "probability": 0.7275390625}, {"start": 10.69, "end": 10.69, "word": " still", "probability": 0.486083984375}, {"start": 10.69, "end": 10.85, "word": " don't", "probability": 0.7373046875}, {"start": 10.85, "end": 11.25, "word": " know", "probability": 0.89013671875}, {"start": 11.25, "end": 11.93, "word": " if", "probability": 0.59765625}, {"start": 11.93, "end": 12.25, "word": " it", "probability": 0.92041015625}, {"start": 12.25, "end": 12.45, "word": " is", "probability": 0.68603515625}, {"start": 12.45, "end": 13.55, "word": " above", "probability": 0.75634765625}, {"start": 13.55, "end": 14.61, "word": " or", "probability": 0.65234375}, {"start": 14.61, "end": 15.07, "word": " below", "probability": 0.736328125}, {"start": 15.07, "end": 15.23, "word": " the", "probability": 0.91650390625}, {"start": 15.23, "end": 15.49, "word": " optical", "probability": 0.91015625}, {"start": 15.49, "end": 16.09, "word": " axis.", "probability": 0.96337890625}, {"start": 16.75, "end": 17.09, "word": " The", "probability": 0.8056640625}, {"start": 17.09, "end": 17.59, "word": " image", "probability": 0.875}, {"start": 17.59, "end": 18.29, "word": " is", "probability": 0.465576171875}, {"start": 18.29, "end": 18.49, "word": " below", "probability": 0.6376953125}, {"start": 18.49, "end": 18.71, "word": " the", "probability": 0.9130859375}, {"start": 18.71, "end": 19.07, "word": " optical", "probability": 0.947265625}, {"start": 19.07, "end": 19.55, "word": " axis", "probability": 0.96875}, {"start": 19.55, "end": 19.73, "word": " by", "probability": 0.22314453125}, {"start": 19.73, "end": 20.31, "word": " 15", "probability": 0.65576171875}, {"start": 20.31, "end": 21.07, "word": " cm.", "probability": 0.548828125}, {"start": 22.99, "end": 23.55, "word": " The", "probability": 0.54248046875}, {"start": 23.55, "end": 24.07, "word": " transverse", "probability": 0.48785400390625}, {"start": 24.07, "end": 24.87, "word": " magnification", "probability": 0.970703125}, {"start": 24.87, "end": 25.05, "word": " is", "probability": 0.640625}, {"start": 25.05, "end": 25.31, "word": " x", "probability": 0.51416015625}, {"start": 25.31, "end": 25.67, "word": " minus", "probability": 0.67724609375}, {"start": 25.67, "end": 26.11, "word": " 3.", "probability": 0.6044921875}], "temperature": 1.0}, {"id": 2, "seek": 5381, "start": 27.57, "end": 53.81, "text": "What is the object head? What is the object head? We say the transference magnification is equal to the image head over the object head. We are looking for the object head, so the object head is equal to the image head over the transference magnification. We replace these places with each other.", "tokens": [3748, 307, 264, 2657, 1378, 30, 708, 307, 264, 2657, 1378, 30, 492, 584, 264, 5003, 655, 4944, 3774, 307, 2681, 281, 264, 3256, 1378, 670, 264, 2657, 1378, 13, 492, 366, 1237, 337, 264, 2657, 1378, 11, 370, 264, 2657, 1378, 307, 2681, 281, 264, 3256, 1378, 670, 264, 5003, 655, 4944, 3774, 13, 492, 7406, 613, 3190, 365, 1184, 661, 13], "avg_logprob": -0.4055175860412419, "compression_ratio": 2.208955223880597, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 27.57, "end": 28.27, "word": "What", "probability": 0.52734375}, {"start": 28.27, "end": 28.57, "word": " is", "probability": 0.9521484375}, {"start": 28.57, "end": 28.75, "word": " the", "probability": 0.880859375}, {"start": 28.75, "end": 29.25, "word": " object", "probability": 0.96435546875}, {"start": 29.25, "end": 29.65, "word": " head?", "probability": 0.29931640625}, {"start": 29.99, "end": 30.25, "word": " What", "probability": 0.440673828125}, {"start": 30.25, "end": 30.57, "word": " is", "probability": 0.95361328125}, {"start": 30.57, "end": 30.77, "word": " the", "probability": 0.91064453125}, {"start": 30.77, "end": 31.15, "word": " object", "probability": 0.97607421875}, {"start": 31.15, "end": 31.45, "word": " head?", "probability": 0.92822265625}, {"start": 31.51, "end": 31.65, "word": " We", "probability": 0.37548828125}, {"start": 31.65, "end": 31.97, "word": " say", "probability": 0.88525390625}, {"start": 31.97, "end": 32.61, "word": " the", "probability": 0.1478271484375}, {"start": 32.61, "end": 33.33, "word": " transference", "probability": 0.5396728515625}, {"start": 33.33, "end": 34.19, "word": " magnification", "probability": 0.936279296875}, {"start": 34.19, "end": 34.69, "word": " is", "probability": 0.1959228515625}, {"start": 34.69, "end": 36.59, "word": " equal", "probability": 0.560546875}, {"start": 36.59, "end": 36.89, "word": " to", "probability": 0.95458984375}, {"start": 36.89, "end": 36.97, "word": " the", "probability": 0.48828125}, {"start": 36.97, "end": 37.37, "word": " image", "probability": 0.7978515625}, {"start": 37.37, "end": 38.19, "word": " head", "probability": 0.75927734375}, {"start": 38.19, "end": 38.97, "word": " over", "probability": 0.54638671875}, {"start": 38.97, "end": 39.49, "word": " the", "probability": 0.70556640625}, {"start": 39.49, "end": 40.03, "word": " object", "probability": 0.96875}, {"start": 40.03, "end": 40.63, "word": " head.", "probability": 0.9130859375}, {"start": 41.01, "end": 41.21, "word": " We", "probability": 0.513671875}, {"start": 41.21, "end": 41.29, "word": " are", "probability": 0.54541015625}, {"start": 41.29, "end": 41.53, "word": " looking", "probability": 0.263427734375}, {"start": 41.53, "end": 41.79, "word": " for", "probability": 0.822265625}, {"start": 41.79, "end": 41.87, "word": " the", "probability": 0.7646484375}, {"start": 41.87, "end": 42.27, "word": " object", "probability": 0.95654296875}, {"start": 42.27, "end": 42.77, "word": " head,", "probability": 0.91650390625}, {"start": 43.33, "end": 43.57, "word": " so", "probability": 0.587890625}, {"start": 43.57, "end": 44.59, "word": " the", "probability": 0.669921875}, {"start": 44.59, "end": 45.09, "word": " object", "probability": 0.96044921875}, {"start": 45.09, "end": 45.65, "word": " head", "probability": 0.8974609375}, {"start": 45.65, "end": 46.49, "word": " is", "probability": 0.57763671875}, {"start": 46.49, "end": 46.85, "word": " equal", "probability": 0.9052734375}, {"start": 46.85, "end": 47.05, "word": " to", "probability": 0.96923828125}, {"start": 47.05, "end": 47.17, "word": " the", "probability": 0.86474609375}, {"start": 47.17, "end": 47.51, "word": " image", "probability": 0.9326171875}, {"start": 47.51, "end": 48.11, "word": " head", "probability": 0.92724609375}, {"start": 48.11, "end": 48.43, "word": " over", "probability": 0.82568359375}, {"start": 48.43, "end": 48.79, "word": " the", "probability": 0.86572265625}, {"start": 48.79, "end": 49.57, "word": " transference", "probability": 0.95947265625}, {"start": 49.57, "end": 50.33, "word": " magnification.", "probability": 0.971435546875}, {"start": 50.45, "end": 50.59, "word": " We", "probability": 0.78125}, {"start": 50.59, "end": 50.85, "word": " replace", "probability": 0.435546875}, {"start": 50.85, "end": 51.35, "word": " these", "probability": 0.373779296875}, {"start": 51.35, "end": 52.17, "word": " places", "probability": 0.270263671875}, {"start": 52.17, "end": 52.97, "word": " with", "probability": 0.42578125}, {"start": 52.97, "end": 53.55, "word": " each", "probability": 0.8857421875}, {"start": 53.55, "end": 53.81, "word": " other.", "probability": 0.876953125}], "temperature": 1.0}, {"id": 3, "seek": 8398, "start": 55.06, "end": 83.98, "text": " So the object height is equal to the image height over the transphase magnification. The image height as long as it is below the optical axis, I give it a minus sign. Fifteen centimeters is fifteen out of one hundred meters over the transphase magnification minus three, which is equal to minus minus plus fifteen out of one hundred meters over", "tokens": [407, 264, 2657, 6681, 307, 2681, 281, 264, 3256, 6681, 670, 264, 1145, 43331, 4944, 3774, 13, 440, 3256, 6681, 382, 938, 382, 309, 307, 2507, 264, 20674, 10298, 11, 286, 976, 309, 257, 3175, 1465, 13, 21501, 9791, 23300, 307, 18126, 484, 295, 472, 3262, 8146, 670, 264, 1145, 43331, 4944, 3774, 3175, 1045, 11, 597, 307, 2681, 281, 3175, 3175, 1804, 18126, 484, 295, 472, 3262, 8146, 670], "avg_logprob": -0.44652288228693143, "compression_ratio": 2.0414201183431953, "no_speech_prob": 3.2186508178710938e-06, "words": [{"start": 55.06, "end": 55.74, "word": " So", "probability": 0.18701171875}, {"start": 55.74, "end": 55.94, "word": " the", "probability": 0.44580078125}, {"start": 55.94, "end": 56.34, "word": " object", "probability": 0.85302734375}, {"start": 56.34, "end": 56.7, "word": " height", "probability": 0.46484375}, {"start": 56.7, "end": 56.94, "word": " is", "probability": 0.462890625}, {"start": 56.94, "end": 57.26, "word": " equal", "probability": 0.69580078125}, {"start": 57.26, "end": 57.86, "word": " to", "probability": 0.93115234375}, {"start": 57.86, "end": 58.02, "word": " the", "probability": 0.40966796875}, {"start": 58.02, "end": 58.22, "word": " image", "probability": 0.72509765625}, {"start": 58.22, "end": 58.56, "word": " height", "probability": 0.900390625}, {"start": 58.56, "end": 58.78, "word": " over", "probability": 0.3994140625}, {"start": 58.78, "end": 58.92, "word": " the", "probability": 0.796875}, {"start": 58.92, "end": 59.44, "word": " transphase", "probability": 0.3076171875}, {"start": 59.44, "end": 60.3, "word": " magnification.", "probability": 0.954833984375}, {"start": 60.76, "end": 60.92, "word": " The", "probability": 0.340576171875}, {"start": 60.92, "end": 61.32, "word": " image", "probability": 0.90283203125}, {"start": 61.32, "end": 61.78, "word": " height", "probability": 0.92724609375}, {"start": 61.78, "end": 63.12, "word": " as", "probability": 0.39404296875}, {"start": 63.12, "end": 63.34, "word": " long", "probability": 0.8505859375}, {"start": 63.34, "end": 63.34, "word": " as", "probability": 0.9609375}, {"start": 63.34, "end": 63.48, "word": " it", "probability": 0.32958984375}, {"start": 63.48, "end": 63.48, "word": " is", "probability": 0.6025390625}, {"start": 63.48, "end": 63.72, "word": " below", "probability": 0.7900390625}, {"start": 63.72, "end": 63.92, "word": " the", "probability": 0.91552734375}, {"start": 63.92, "end": 64.26, "word": " optical", "probability": 0.8779296875}, {"start": 64.26, "end": 64.7, "word": " axis,", "probability": 0.9716796875}, {"start": 64.86, "end": 64.86, "word": " I", "probability": 0.69873046875}, {"start": 64.86, "end": 65.02, "word": " give", "probability": 0.74462890625}, {"start": 65.02, "end": 65.68, "word": " it", "probability": 0.806640625}, {"start": 65.68, "end": 65.78, "word": " a", "probability": 0.77001953125}, {"start": 65.78, "end": 66.02, "word": " minus", "probability": 0.7939453125}, {"start": 66.02, "end": 66.26, "word": " sign.", "probability": 0.7822265625}, {"start": 67.16, "end": 67.84, "word": " Fifteen", "probability": 0.6256103515625}, {"start": 67.84, "end": 68.42, "word": " centimeters", "probability": 0.81591796875}, {"start": 68.42, "end": 68.52, "word": " is", "probability": 0.57666015625}, {"start": 68.52, "end": 68.78, "word": " fifteen", "probability": 0.65673828125}, {"start": 68.78, "end": 69.26, "word": " out", "probability": 0.2255859375}, {"start": 69.26, "end": 69.26, "word": " of", "probability": 0.982421875}, {"start": 69.26, "end": 69.4, "word": " one", "probability": 0.6025390625}, {"start": 69.4, "end": 69.68, "word": " hundred", "probability": 0.91064453125}, {"start": 69.68, "end": 70.36, "word": " meters", "probability": 0.85498046875}, {"start": 70.36, "end": 70.68, "word": " over", "probability": 0.487548828125}, {"start": 70.68, "end": 72.88, "word": " the", "probability": 0.67431640625}, {"start": 72.88, "end": 73.42, "word": " transphase", "probability": 0.852783203125}, {"start": 73.42, "end": 74.26, "word": " magnification", "probability": 0.970703125}, {"start": 74.26, "end": 74.74, "word": " minus", "probability": 0.78564453125}, {"start": 74.74, "end": 75.32, "word": " three,", "probability": 0.88232421875}, {"start": 75.82, "end": 75.92, "word": " which", "probability": 0.44384765625}, {"start": 75.92, "end": 76.1, "word": " is", "probability": 0.74462890625}, {"start": 76.1, "end": 76.44, "word": " equal", "probability": 0.82666015625}, {"start": 76.44, "end": 76.64, "word": " to", "probability": 0.880859375}, {"start": 76.64, "end": 76.98, "word": " minus", "probability": 0.86376953125}, {"start": 76.98, "end": 77.48, "word": " minus", "probability": 0.36083984375}, {"start": 77.48, "end": 78.3, "word": " plus", "probability": 0.9140625}, {"start": 78.3, "end": 80.7, "word": " fifteen", "probability": 0.476806640625}, {"start": 80.7, "end": 81.2, "word": " out", "probability": 0.73046875}, {"start": 81.2, "end": 81.2, "word": " of", "probability": 0.9794921875}, {"start": 81.2, "end": 81.32, "word": " one", "probability": 0.9072265625}, {"start": 81.32, "end": 81.6, "word": " hundred", "probability": 0.93701171875}, {"start": 81.6, "end": 83.34, "word": " meters", "probability": 0.88427734375}, {"start": 83.34, "end": 83.98, "word": " over", "probability": 0.80712890625}], "temperature": 1.0}, {"id": 4, "seek": 11232, "start": 84.94, "end": 112.32, "text": "3 is equal to 3 times 5 times 100 which is equal to plus 5 cm So the height of the object is plus 5 cm, plus means above the optical axis and its height is 5 cm which is one third of the height of the bird which gives you the bird's eye view", "tokens": [18, 307, 2681, 281, 805, 1413, 1025, 1413, 2319, 597, 307, 2681, 281, 1804, 1025, 14668, 407, 264, 6681, 295, 264, 2657, 307, 1804, 1025, 14668, 11, 1804, 1355, 3673, 264, 20674, 10298, 293, 1080, 6681, 307, 1025, 14668, 597, 307, 472, 2636, 295, 264, 6681, 295, 264, 5255, 597, 2709, 291, 264, 5255, 311, 3313, 1910], "avg_logprob": -0.5441810087911014, "compression_ratio": 1.7092198581560283, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 84.94, "end": 85.66, "word": "3", "probability": 0.37255859375}, {"start": 85.66, "end": 86.38, "word": " is", "probability": 0.04962158203125}, {"start": 86.38, "end": 86.6, "word": " equal", "probability": 0.33203125}, {"start": 86.6, "end": 87.88, "word": " to", "probability": 0.9453125}, {"start": 87.88, "end": 91.24, "word": " 3", "probability": 0.313720703125}, {"start": 91.24, "end": 92.58, "word": " times", "probability": 0.1802978515625}, {"start": 92.58, "end": 92.74, "word": " 5", "probability": 0.90576171875}, {"start": 92.74, "end": 92.92, "word": " times", "probability": 0.377197265625}, {"start": 92.92, "end": 93.3, "word": " 100", "probability": 0.86181640625}, {"start": 93.3, "end": 94.06, "word": " which", "probability": 0.241455078125}, {"start": 94.06, "end": 94.8, "word": " is", "probability": 0.76806640625}, {"start": 94.8, "end": 94.84, "word": " equal", "probability": 0.587890625}, {"start": 94.84, "end": 95.48, "word": " to", "probability": 0.9453125}, {"start": 95.48, "end": 96.08, "word": " plus", "probability": 0.436767578125}, {"start": 96.08, "end": 96.9, "word": " 5", "probability": 0.95166015625}, {"start": 96.9, "end": 97.62, "word": " cm", "probability": 0.34619140625}, {"start": 97.62, "end": 98.18, "word": " So", "probability": 0.54541015625}, {"start": 98.18, "end": 98.44, "word": " the", "probability": 0.48828125}, {"start": 98.44, "end": 98.86, "word": " height", "probability": 0.58935546875}, {"start": 98.86, "end": 99.12, "word": " of", "probability": 0.951171875}, {"start": 99.12, "end": 99.32, "word": " the", "probability": 0.77490234375}, {"start": 99.32, "end": 99.64, "word": " object", "probability": 0.95751953125}, {"start": 99.64, "end": 99.9, "word": " is", "probability": 0.73046875}, {"start": 99.9, "end": 100.24, "word": " plus", "probability": 0.896484375}, {"start": 100.24, "end": 100.6, "word": " 5", "probability": 0.9443359375}, {"start": 100.6, "end": 100.98, "word": " cm,", "probability": 0.82958984375}, {"start": 101.06, "end": 101.38, "word": " plus", "probability": 0.841796875}, {"start": 101.38, "end": 101.6, "word": " means", "probability": 0.71630859375}, {"start": 101.6, "end": 101.92, "word": " above", "probability": 0.65576171875}, {"start": 101.92, "end": 102.12, "word": " the", "probability": 0.89111328125}, {"start": 102.12, "end": 102.54, "word": " optical", "probability": 0.935546875}, {"start": 102.54, "end": 103.22, "word": " axis", "probability": 0.966796875}, {"start": 103.22, "end": 103.76, "word": " and", "probability": 0.52099609375}, {"start": 103.76, "end": 104.24, "word": " its", "probability": 0.32275390625}, {"start": 104.24, "end": 104.24, "word": " height", "probability": 0.92919921875}, {"start": 104.24, "end": 104.38, "word": " is", "probability": 0.90478515625}, {"start": 104.38, "end": 104.74, "word": " 5", "probability": 0.861328125}, {"start": 104.74, "end": 105.4, "word": " cm", "probability": 0.87939453125}, {"start": 105.4, "end": 106.08, "word": " which", "probability": 0.59228515625}, {"start": 106.08, "end": 106.24, "word": " is", "probability": 0.7158203125}, {"start": 106.24, "end": 106.56, "word": " one", "probability": 0.337890625}, {"start": 106.56, "end": 106.82, "word": " third", "probability": 0.74609375}, {"start": 106.82, "end": 107.74, "word": " of", "probability": 0.6923828125}, {"start": 107.74, "end": 107.74, "word": " the", "probability": 0.8486328125}, {"start": 107.74, "end": 107.74, "word": " height", "probability": 0.90771484375}, {"start": 107.74, "end": 108.02, "word": " of", "probability": 0.96728515625}, {"start": 108.02, "end": 108.08, "word": " the", "probability": 0.8134765625}, {"start": 108.08, "end": 108.28, "word": " bird", "probability": 0.042144775390625}, {"start": 108.28, "end": 110.78, "word": " which", "probability": 0.38671875}, {"start": 110.78, "end": 111.18, "word": " gives", "probability": 0.416015625}, {"start": 111.18, "end": 111.78, "word": " you", "probability": 0.791015625}, {"start": 111.78, "end": 111.9, "word": " the", "probability": 0.71044921875}, {"start": 111.9, "end": 112.1, "word": " bird's", "probability": 0.5701904296875}, {"start": 112.1, "end": 112.16, "word": " eye", "probability": 0.304931640625}, {"start": 112.16, "end": 112.32, "word": " view", "probability": 0.8828125}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 113.1740625, "duration_after_vad": 106.4375}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3T7cFI_LiH4_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3T7cFI_LiH4_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..791ff60ab5001aad6db9aed3cecc33cacbd3b201
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3T7cFI_LiH4_postprocess.srt
@@ -0,0 +1,2248 @@
+1
+00:00:01,620 --> 00:00:06,240
+بسم الله الرحمن الرحيم، توقفنا في محادرات الـ
+
+2
+00:00:06,240 --> 00:00:10,720
+Geometric Optics المرة الماضية عند موضوع
+
+3
+00:00:10,720 --> 00:00:13,960
+الrefraction،
+
+4
+00:00:13,960 --> 00:00:17,240
+أنه لما الضوء بينتقل من medium of lower refractive
+
+5
+00:00:17,240 --> 00:00:21,140
+index to a medium of higher refractive index،
+
+6
+00:00:21,140 --> 00:00:25,560
+الشعاع المنكسر Bends، بينثني أو بيروح، بغير طريقه
+
+7
+00:00:25,560 --> 00:00:30,100
+باتجاه ال surface normal، بينما لما ينتقل الضوء
+
+8
+00:00:30,680 --> 00:00:33,520
+from higher refractive index to lower refractive
+
+9
+00:00:33,520 --> 00:00:37,820
+index, it bends away from the service norm. To
+
+10
+00:00:37,820 --> 00:00:41,200
+think about this topic and to prove it, let's go
+
+11
+00:00:41,200 --> 00:00:45,440
+back and see the simulation of the bending of
+
+12
+00:00:45,440 --> 00:00:50,900
+light. We say that the light moves from the lower
+
+13
+00:00:50,900 --> 00:00:55,460
+refractive index medium to the higher refractive
+
+14
+00:00:55,460 --> 00:00:57,240
+index medium, that is, from a substance less than
+
+15
+00:00:57,240 --> 00:01:00,170
+the refractive indexto a higher substance in the
+
+16
+00:01:00,170 --> 00:01:03,190
+process of oxidation. We will see if the refracted
+
+17
+00:01:03,190 --> 00:01:05,530
+light will approach or move away from the service
+
+18
+00:01:05,530 --> 00:01:07,830
+normal. This is the service normal I have drawn.
+
+19
+00:01:08,910 --> 00:01:10,830
+Now the light moves from the middle of the lowest
+
+20
+00:01:10,830 --> 00:01:13,330
+density or lowest in the refractive index which is
+
+21
+00:01:13,330 --> 00:01:16,570
+1 to the middle of the highest density or highest
+
+22
+00:01:16,570 --> 00:01:19,390
+in the refractive index which is 1 and a half. You
+
+23
+00:01:19,390 --> 00:01:22,030
+see what will happen to the light. It is clear
+
+24
+00:01:22,030 --> 00:01:26,610
+that the lightFell at a falling angle of 45
+
+25
+00:01:26,610 --> 00:01:30,750
+degrees Okay, the broken radio wave approached
+
+26
+00:01:30,750 --> 00:01:33,430
+with the proof that the breaking angle or the
+
+27
+00:01:33,430 --> 00:01:38,390
+transmission angle is 28.110 degrees Okay, if we
+
+28
+00:01:38,390 --> 00:01:41,450
+wanted to make sure of another falling angle We
+
+29
+00:01:41,450 --> 00:01:45,930
+say this is the falling angle for example35.7 out
+
+30
+00:01:45,930 --> 00:01:48,910
+of 10. The reduction angle is less than 22, which
+
+31
+00:01:48,910 --> 00:01:51,510
+means that the current of the refracted light or
+
+32
+00:01:51,510 --> 00:01:54,370
+the transmitted light approaches. So when we
+
+33
+00:01:54,370 --> 00:01:57,370
+transfer light from a medium less than the
+
+34
+00:01:57,370 --> 00:02:00,230
+density, pardon me, less than the density or less
+
+35
+00:02:00,230 --> 00:02:03,310
+than the refractive index to a medium higher than
+
+36
+00:02:03,310 --> 00:02:05,850
+the density or higher than the refractive index,
+
+37
+00:02:06,370 --> 00:02:11,290
+the transmitted light binds to where the surface
+
+38
+00:02:11,290 --> 00:02:15,480
+is normal, to where the surface is normal.الان
+
+39
+00:02:15,480 --> 00:02:22,000
+بدنا نعكس الآية و نقول الضوء
+
+40
+00:02:22,000 --> 00:02:26,620
+هينتقل من وسط أعلى في ال refractive index أو أعلى
+
+41
+00:02:26,620 --> 00:02:32,040
+كثافة لوسط أقل كثافة هي سقط بزاوية سقوط خمسة و
+
+42
+00:02:32,040 --> 00:02:36,380
+تلاتين وسبعة من عشرة زاوية الانكسار واحد وستين
+
+43
+00:02:36,380 --> 00:02:40,640
+degree يعني ابتعد أكتر عن ال service normal طيب لو
+
+44
+00:02:40,640 --> 00:02:47,590
+غيرنا زاوية السقوط كبرناها39.4 out of 10, here it
+
+45
+00:02:47,590 --> 00:02:51,430
+became 72.3 out of 10. So, what governs these two
+
+46
+00:02:51,430 --> 00:02:55,790
+angles? The law of contraction, Ni sine theta I
+
+47
+00:02:55,790 --> 00:03:00,630
+into Nt sine theta T. That is, Ni, which is the
+
+48
+00:03:00,630 --> 00:03:03,830
+refractive index of the substance from which the
+
+49
+00:03:03,830 --> 00:03:06,110
+light fell. In this case, the glass is 1.5.
+
+50
+00:03:06,570 --> 00:03:10,950
+Multiplied by J of the angle of fall is equal to
+
+51
+00:03:10,950 --> 00:03:13,130
+the refractive index of the substance from which
+
+52
+00:03:13,130 --> 00:03:15,920
+the light fell.It is written in J for the angle of
+
+53
+00:03:15,920 --> 00:03:18,960
+deflection or J for the angle of passage This is
+
+54
+00:03:18,960 --> 00:03:22,560
+the Snell's law or the law of deflection So when
+
+55
+00:03:22,560 --> 00:03:24,100
+the light moves from the middle of the highest
+
+56
+00:03:24,100 --> 00:03:27,080
+density or the highest in the refractive index to
+
+57
+00:03:27,080 --> 00:03:29,120
+the middle of the lowest density or the lowest in
+
+58
+00:03:29,120 --> 00:03:31,680
+the refractive index from the highest to the
+
+59
+00:03:31,680 --> 00:03:35,160
+lowest, the radiation goes away from the service
+
+60
+00:03:35,160 --> 00:03:37,760
+normal Well, from the lowest to the highest, the
+
+61
+00:03:37,760 --> 00:03:40,860
+opposite happens If we imagine that from the
+
+62
+00:03:40,860 --> 00:03:42,460
+lowest to the highest
+
+63
+00:03:46,110 --> 00:03:48,590
+It is close to the service normal When the light
+
+64
+00:03:48,590 --> 00:03:50,710
+moves from the middle of the lowest density or
+
+65
+00:03:50,710 --> 00:03:53,590
+lowest in the refractive index to the highest
+
+66
+00:03:53,590 --> 00:03:56,490
+middle in the refractive index It is close to the
+
+67
+00:03:56,490 --> 00:03:59,050
+refracted light from the service normal It is
+
+68
+00:03:59,050 --> 00:04:03,050
+close to the service normal And this is a fixed
+
+69
+00:04:03,050 --> 00:04:10,550
+thing and known in the subject of refraction Okay,
+
+70
+00:04:10,610 --> 00:04:14,530
+if the light falls vertically If the light falls
+
+71
+00:04:14,530 --> 00:04:18,050
+verticallynormal incidence يعني السقوط العمودي
+
+72
+00:04:18,050 --> 00:04:21,930
+occurs when light ray is perpendicular to the
+
+73
+00:04:21,930 --> 00:04:25,450
+optical interface in other words, the surface
+
+74
+00:04:25,450 --> 00:04:30,010
+normal coincides with the ray اش يعني لما بيكون
+
+75
+00:04:30,010 --> 00:04:35,790
+عندى ال ray الساقط و ال surface normal coincidence
+
+76
+00:04:35,790 --> 00:04:41,830
+يعني ايش coincidence يعني زاوية السقوط صفر زاوية
+
+77
+00:04:41,830 --> 00:04:48,220
+السقوط صفر احنا عرفنا زاوية السقوطbecause the
+
+78
+00:04:48,220 --> 00:04:53,960
+angle between incident ray
+
+79
+00:04:53,960 --> 00:04:57,020
+and service normal is zero, so the angle between
+
+80
+00:04:57,020 --> 00:04:57,500
+them is zero
+
+81
+00:05:01,690 --> 00:05:05,910
+عمودي لو بدها تنعكس طالما زاوية السقوط صفر إذا
+
+82
+00:05:05,910 --> 00:05:10,610
+زاوية الانعكاس ال reflection angle صفر ليه؟ لأنه
+
+83
+00:05:10,610 --> 00:05:15,830
+في قانون الانعكاس مش الانقسام زاوية السقوط تساوي
+
+84
+00:05:15,830 --> 00:05:20,720
+زاوية الانعكاسIt will also be the angle of passage
+
+85
+00:05:20,720 --> 00:05:23,500
+of the transmission angles. So, the part that is
+
+86
+00:05:23,500 --> 00:05:26,340
+reflected will be reflected along the line of
+
+87
+00:05:26,340 --> 00:05:28,600
+descent, that is, it will not change the path, but
+
+88
+00:05:28,600 --> 00:05:30,920
+it will just collide with the surface separated
+
+89
+00:05:30,920 --> 00:05:34,240
+between the two materials and will be reflected 90
+
+90
+00:05:34,240 --> 00:05:36,640
+degrees from the surface, that is, along the
+
+91
+00:05:36,640 --> 00:05:39,020
+surface normally. Okay, and the part that will
+
+92
+00:05:39,020 --> 00:05:41,380
+pass will also pass without changing its path.
+
+93
+00:05:41,520 --> 00:05:44,780
+Okay, what happens? What happens is that the speed
+
+94
+00:05:44,780 --> 00:05:48,490
+changes only, the speed changes only.فحالة السقوط
+
+95
+00:05:48,490 --> 00:05:52,710
+العمودي، إذا كان هناك انعكاس، حيكون انعكاس عمودي
+
+96
+00:05:52,710 --> 00:05:55,990
+على السطح، يعني منطبق على الشعاع، الشعاع اللي سقط
+
+97
+00:05:55,990 --> 00:05:59,670
+و ال service normal و الشعاع اللي انعكس، كله منطبق
+
+98
+00:05:59,670 --> 00:06:03,310
+على بعضه، طيب، لو في عندي سقوط عمودي و مرت بعد
+
+99
+00:06:03,310 --> 00:06:06,350
+الأشعة، أيضا هتمر بشكل عمودي على السطح، يعني
+
+100
+00:06:06,350 --> 00:06:10,090
+بتضلها بدون ما تغير طريقها straight ahead،
+
+101
+00:06:10,090 --> 00:06:14,190
+straight ahead بمعنى طريقها دُغري بدون لأ تروح
+
+102
+00:06:14,190 --> 00:06:17,700
+شمال ولا يمينفبالتالي هذا هو ال normal incidence
+
+103
+00:06:17,700 --> 00:06:21,460
+ال normal incidence اذا normal incidence occurs
+
+104
+00:06:21,460 --> 00:06:25,080
+when light ray is perpendicular to the optical
+
+105
+00:06:25,080 --> 00:06:30,060
+interface بكلمات أخرى the surface normal coincides
+
+106
+00:06:30,060 --> 00:06:33,120
+with the ray بمعنى ال surface normal اللي هو
+
+107
+00:06:33,120 --> 00:06:37,380
+العمود اللي مقام على السطح و الشعاع الساقط بنطبق
+
+108
+00:06:37,380 --> 00:06:41,940
+على بعض من البعض بمعنى زاوية السقوط تساوي صفر if
+
+109
+00:06:41,940 --> 00:06:46,100
+the interface is refracting surfaceThe optical
+
+110
+00:06:46,100 --> 00:06:51,140
+interface is refracting
+
+111
+00:06:51,140 --> 00:06:55,220
+service. The ray is undeviated.
+
+112
+00:07:00,020 --> 00:07:03,820
+Light changes speed as it crosses the interface,
+
+113
+00:07:04,260 --> 00:07:06,060
+but does not change direction.
+
+114
+00:07:12,770 --> 00:07:14,710
+If it was going to the middle, less in density,
+
+115
+00:07:14,850 --> 00:07:17,630
+the light would be faster But it does not change
+
+116
+00:07:17,630 --> 00:07:20,130
+in direction And that's why if we want to define
+
+117
+00:07:20,130 --> 00:07:23,930
+refraction, what exactly is it? It is the change
+
+118
+00:07:23,930 --> 00:07:26,630
+in the speed of light when it moves from one
+
+119
+00:07:26,630 --> 00:07:30,750
+center to another It may change in direction and
+
+120
+00:07:30,750 --> 00:07:34,570
+may not change in direction When does it not
+
+121
+00:07:34,570 --> 00:07:38,080
+change in direction when the fall is vertical?As
+
+122
+00:07:38,080 --> 00:07:42,220
+we see in this simulation, when the drop is
+
+123
+00:07:42,220 --> 00:07:43,920
+vertical, the direction does not change, it does
+
+124
+00:07:43,920 --> 00:07:46,240
+not change direction. When the drop is not
+
+125
+00:07:46,240 --> 00:07:48,440
+vertical, it changes with the direction, it
+
+126
+00:07:48,440 --> 00:07:52,400
+changes. Here the angle is 11.4 degrees and here
+
+127
+00:07:52,400 --> 00:07:55,760
+the angle is 7.6 degrees. If the direction does
+
+128
+00:07:55,760 --> 00:07:57,740
+not change, the angle should be equal to this
+
+129
+00:07:57,740 --> 00:08:00,680
+angle. So it is very important to understand this.
+
+130
+00:08:02,740 --> 00:08:05,320
+It is necessary to know that when I have a
+
+131
+00:08:05,320 --> 00:08:10,180
+vertical fall, the vertical fall does not change
+
+132
+00:08:10,180 --> 00:08:12,120
+the direction but changes the speed, while a
+
+133
+00:08:12,120 --> 00:08:15,540
+vertical fall does not change the direction, it
+
+134
+00:08:15,540 --> 00:08:18,000
+means that the angle of the fall and the angle of
+
+135
+00:08:18,000 --> 00:08:21,300
+the break or transition are not equal to each
+
+136
+00:08:25,270 --> 00:08:28,190
+طب في حالة الانعكاس if the surface reflects
+
+137
+00:08:28,190 --> 00:08:32,250
+specularly إذا في عندي انعكاس منتظم rays and
+
+138
+00:08:32,250 --> 00:08:35,670
+pencils of light will be reflected back along 90
+
+139
+00:08:35,670 --> 00:08:39,910
+degree angle to the surface يعني الجزء اللي هينعكس
+
+140
+00:08:39,910 --> 00:08:44,490
+.. الجزء اللي هينعكس هينعكس ب .. ب .. بزاوية 90
+
+141
+00:08:44,490 --> 00:08:47,830
+degree مع السطح يعني هينعكس على نفس الخط اللي إجا
+
+142
+00:08:47,830 --> 00:08:53,070
+منه على نفس الخط اللي إجا منه الآن بننتقل لموضوع
+
+143
+00:08:53,070 --> 00:08:57,780
+مهم جدااسمه Total Internal Reflection Total
+
+144
+00:08:57,780 --> 00:09:03,160
+Internal Reflection أو الإنعكاس الداخلي الكليه
+
+145
+00:09:03,160 --> 00:09:08,600
+داخلي Internal يعني الضوء بيرجع للمادة اللي إيجا
+
+146
+00:09:08,600 --> 00:09:12,660
+منها كان عايز انتقل لمادة تانية لوسط بصري تاني
+
+147
+00:09:12,660 --> 00:09:16,740
+ولكن بيصيرله Total Internal Reflection يعني إنعكاس
+
+148
+00:09:16,740 --> 00:09:21,640
+داخلي كله Total Internal Reflection occursWhen
+
+149
+00:09:21,640 --> 00:09:25,560
+light travels from high-index medium to low-index
+
+150
+00:09:25,560 --> 00:09:25,920
+medium
+
+151
+00:09:37,140 --> 00:09:39,300
+and we agreed that the word higher in density
+
+152
+00:09:39,300 --> 00:09:42,360
+means higher in refractive index and less in
+
+153
+00:09:42,360 --> 00:09:45,300
+density means less in refractive index it does not
+
+154
+00:09:45,300 --> 00:09:48,200
+happen when the light moves from less middle to
+
+155
+00:09:48,200 --> 00:09:51,760
+higher middle but this phenomenon happens which is
+
+156
+00:09:51,760 --> 00:09:55,100
+the total internal reflection when the light moves
+
+157
+00:09:55,100 --> 00:10:00,280
+from higher middle to less middleand the angle of
+
+158
+00:10:00,280 --> 00:10:04,820
+incidence exceeds certain critical angle عشان نفهم
+
+159
+00:10:04,820 --> 00:10:08,300
+هذه القضية بنستعين مرة تانية بال simulation أحنا
+
+160
+00:10:08,300 --> 00:10:12,000
+الضوء بدنا ننجله من وسط أعلى في الكثافة زي ال
+
+161
+00:10:12,000 --> 00:10:19,100
+glass مثلا لوسط أقل في الكثافة زي الهواء الآن عندي
+
+162
+00:10:19,100 --> 00:10:23,220
+سقوط عمودي سقوط عمودي الضوء بده يتحرك من الجزاز
+
+163
+00:10:23,220 --> 00:10:28,040
+هذا الجزاز وهذا الهواء الآن الضوء بده يتحركFalling
+
+164
+00:10:28,040 --> 00:10:30,040
+vertically, then the angle of fall is zero, it
+
+165
+00:10:30,040 --> 00:10:33,120
+will not change its direction, but when it reaches
+
+166
+00:10:33,120 --> 00:10:36,540
+this point that I am pointing at, and enters the
+
+167
+00:10:36,540 --> 00:10:39,280
+air, coming out of the glass, means it enters the
+
+168
+00:10:39,280 --> 00:10:41,240
+air, moves to a medium less in the distance, the
+
+169
+00:10:41,240 --> 00:10:43,820
+speed will change, its speed will increase because
+
+170
+00:10:43,820 --> 00:10:45,880
+the light in the air is faster than in the glass
+
+171
+00:10:45,880 --> 00:10:49,140
+Okay, now if we say we want to make a certain
+
+172
+00:10:49,140 --> 00:10:53,690
+angle of fallnotice that my falling angle is 4.9
+
+173
+00:10:53,690 --> 00:10:56,750
+degrees according to the law of contraction, the
+
+174
+00:10:56,750 --> 00:10:59,030
+angle of contraction is 7.3 degrees the angle of
+
+175
+00:10:59,030 --> 00:11:04,830
+contraction is greater than the refracted
+
+176
+00:11:04,830 --> 00:11:08,130
+ray or transmitted ray away from the normal
+
+177
+00:11:08,130 --> 00:11:10,570
+surface if we increase the angle of contraction a
+
+178
+00:11:10,570 --> 00:11:15,270
+little bit it will make it about 19.7 degrees the
+
+179
+00:11:15,270 --> 00:11:17,770
+angle of contraction has becomeor the passage
+
+180
+00:11:17,770 --> 00:11:20,790
+angle is 34, which means it increases. The larger
+
+181
+00:11:20,790 --> 00:11:25,330
+the angle of fall, the greater the angle of
+
+182
+00:11:25,330 --> 00:11:28,330
+deflection. The greater the angle of deflection,
+
+183
+00:11:28,370 --> 00:11:33,450
+which is here I have 32 and 10, here 48 and 19. We
+
+184
+00:11:33,450 --> 00:11:38,550
+also want to increase and see what happens.I have
+
+185
+00:11:38,550 --> 00:11:40,450
+an increase in falling, it increased, it became 39
+
+186
+00:11:40,450 --> 00:11:44,370
+.8, the decrease increased much more, it became
+
+187
+00:11:44,370 --> 00:11:48,030
+73, so because of the drop from the middle to the
+
+188
+00:11:48,030 --> 00:11:50,430
+top in density, to the middle to the bottom in
+
+189
+00:11:50,430 --> 00:11:54,390
+density, the increase in decreasing or the
+
+190
+00:11:54,390 --> 00:11:56,810
+increase in passing theta T becomes greater than
+
+191
+00:11:56,810 --> 00:12:00,890
+theta I, and the more theta I increases, theta T
+
+192
+00:12:00,890 --> 00:12:03,950
+increases more, more. I will keep increasing,
+
+193
+00:12:04,130 --> 00:12:06,950
+theta T will continue to increase until I reach
+
+194
+00:12:10,380 --> 00:12:15,840
+to a point of course here 89 and 6 from 10 of
+
+195
+00:12:15,840 --> 00:12:19,380
+course we want to connect it to 90 degrees when
+
+196
+00:12:19,380 --> 00:12:23,300
+theta T reaches 90 degrees it means that the
+
+197
+00:12:23,300 --> 00:12:28,760
+broken beam runs on the surface between the two
+
+198
+00:12:28,760 --> 00:12:31,760
+materials between glass and air of course I can't
+
+199
+00:12:31,760 --> 00:12:33,900
+exactly control the mouse
+
+200
+00:13:03,100 --> 00:13:06,300
+So, when it reaches a certain angle of incidence,
+
+201
+00:13:06,880 --> 00:13:10,080
+the angle of incidence becomes 90 degrees 90
+
+202
+00:13:10,080 --> 00:13:15,480
+degrees means that the broken beam runs on the
+
+203
+00:13:15,480 --> 00:13:19,920
+surface When theta T reaches an angle of incidence
+
+204
+00:13:19,920 --> 00:13:24,280
+of 90 degrees 90 degrees, then the angle of
+
+205
+00:13:24,280 --> 00:13:29,340
+incidence is called the critical angleSo, what is
+
+206
+00:13:29,340 --> 00:13:33,040
+the critical angle? The critical angle is the
+
+207
+00:13:33,040 --> 00:13:38,950
+angle of fall .. is the angle of fallبتعطيني زاوية
+
+208
+00:13:38,950 --> 00:13:42,670
+انكسار مقدارها تسعين درجة What does it mean to
+
+209
+00:13:42,670 --> 00:13:44,590
+have an angle of contraction of 90 degrees? It
+
+210
+00:13:44,590 --> 00:13:48,530
+means that the broken beam or the marble works
+
+211
+00:13:48,530 --> 00:13:51,970
+with the service normal 90 degrees Also, what does
+
+212
+00:13:51,970 --> 00:13:57,210
+it mean? It means that the broken beam runs on the
+
+213
+00:13:57,210 --> 00:13:59,010
+separated surface between the two materials
+
+214
+00:13:59,010 --> 00:14:02,270
+Neither it passed to the other material nor it
+
+215
+00:14:02,270 --> 00:14:06,850
+returned to the materialthe one that came from it.
+
+216
+00:14:07,210 --> 00:14:11,610
+Okay, so the curved angle is the angle of fall θI.
+
+217
+00:14:12,690 --> 00:14:14,490
+Okay, but what distinguishes it from the rest of
+
+218
+00:14:14,490 --> 00:14:17,450
+the angles of fall? What distinguishes it from the
+
+219
+00:14:17,450 --> 00:14:19,550
+rest of the angles of fall is that it creates an
+
+220
+00:14:19,550 --> 00:14:21,810
+angle of deflection with a magnitude of 90
+
+221
+00:14:21,810 --> 00:14:25,090
+degrees. With a magnitude of 90 degrees. So, let's
+
+222
+00:14:25,090 --> 00:14:29,030
+go back to the powerpoint and say that when the
+
+223
+00:14:29,030 --> 00:14:31,530
+light moves from a medium higher in density to a
+
+224
+00:14:31,530 --> 00:14:36,420
+medium lower in density,طبعاً بيبتعد الشعاع
+
+225
+00:14:36,420 --> 00:14:40,960
+المنكسر عن ال service normal لغاية ما يحدث عندى
+
+226
+00:14:40,960 --> 00:14:46,580
+انه تزيد زاوية السقوط لحد معين و هذا الحد المعين
+
+227
+00:14:46,580 --> 00:14:51,000
+يصل لـ critical angle. Under these circumstances,
+
+228
+00:14:51,980 --> 00:14:55,420
+the incident ray does not pass through the
+
+229
+00:14:55,420 --> 00:14:59,280
+interface or light is reflected back into the high
+
+230
+00:14:59,280 --> 00:15:02,820
+-index medium.Let's go back and say that if we
+
+231
+00:15:02,820 --> 00:15:04,700
+increase the critical angle,
+
+232
+00:15:07,780 --> 00:15:13,500
+all the light will reflect the same material that
+
+233
+00:15:13,500 --> 00:15:17,740
+came from it. Of course, the law of reflection
+
+234
+00:15:17,740 --> 00:15:20,560
+governs its direction. θI is equal to θR. There
+
+235
+00:15:20,560 --> 00:15:25,900
+are no rays passing through. So, when we reach the
+
+236
+00:15:25,900 --> 00:15:29,580
+point where the light falls,In the case of light
+
+237
+00:15:29,580 --> 00:15:32,020
+falling from a substance higher in density or
+
+238
+00:15:32,020 --> 00:15:34,640
+higher in the refractive index to a substance
+
+239
+00:15:34,640 --> 00:15:37,580
+lower in density or lower in the refractive index,
+
+240
+00:15:37,940 --> 00:15:40,760
+first of all, the refracted radiation moves away
+
+241
+00:15:40,760 --> 00:15:44,200
+from the service norm, that is, the angle of
+
+242
+00:15:44,200 --> 00:15:45,880
+contraction or θT
+
+243
+00:15:52,360 --> 00:15:55,680
+always theta T theta T which is the angle of
+
+244
+00:15:55,680 --> 00:15:59,340
+incidence greater than theta I if the light moves
+
+245
+00:15:59,340 --> 00:16:02,240
+from the upper middle to the lower middle we
+
+246
+00:16:02,240 --> 00:16:04,800
+magnify we magnify we magnify and it grows more
+
+247
+00:16:04,800 --> 00:16:07,740
+theta T we will follow with this and I will move
+
+248
+00:16:07,740 --> 00:16:11,000
+we will follow with this angle until we reach
+
+249
+00:16:21,940 --> 00:16:23,620
+This is the critical angle.
+
+250
+00:16:26,800 --> 00:16:32,540
+The critical angle is the angle of fall that makes
+
+251
+00:16:32,540 --> 00:16:35,220
+the angle of deflection 90 degrees. Of course,
+
+252
+00:16:35,300 --> 00:16:38,180
+here it is not 90 degrees. We can't get after 90
+
+253
+00:16:38,180 --> 00:16:40,420
+exactly, but we can imagine that the beam is
+
+254
+00:16:40,420 --> 00:16:45,160
+running on the optical interface between the two
+
+255
+00:16:45,160 --> 00:16:51,720
+mediums.ساعتها لما يحدث هذا ويصبح الشعاع المنكسر
+
+256
+00:16:51,720 --> 00:16:55,820
+اللي أنا بأشر عليه يجري على السطح الفاصل ساعتها
+
+257
+00:16:55,820 --> 00:16:59,900
+بسمي زاوية السقوط critical angle critical angle
+
+258
+00:16:59,900 --> 00:17:04,880
+السؤال يا ترى بقدر أحدد قيمة ال critical angle
+
+259
+00:17:04,880 --> 00:17:09,640
+للمواد المختلفة؟ بنقول نعم إذا the law of
+
+260
+00:17:09,640 --> 00:17:12,480
+reflection governs the direction of the reflected
+
+261
+00:17:12,480 --> 00:17:15,430
+rayThe following figure shows a light ray
+
+262
+00:17:15,430 --> 00:17:21,090
+traveling from a high-index medium into
+
+263
+00:17:21,090 --> 00:17:24,530
+low-index medium. In this situation, the
+
+264
+00:17:24,530 --> 00:17:27,090
+transmitted ray bends away from the surface
+
+265
+00:17:27,090 --> 00:17:30,990
+normal, and thus the angle of transmission exceeds
+
+266
+00:17:30,990 --> 00:17:32,850
+the angle of incidence.
+
+267
+00:17:38,250 --> 00:17:40,550
+highest in the refractive index, and if it's lower
+
+268
+00:17:40,550 --> 00:17:43,550
+than the refractive index, like air, the light
+
+269
+00:17:43,550 --> 00:17:48,310
+ray, the transmitted ray bends away, away from the
+
+270
+00:17:48,310 --> 00:17:53,250
+surface normal, and theta T exceeds theta I. Okay,
+
+271
+00:17:53,570 --> 00:17:57,910
+when I, as the angle of incidence increases, the
+
+272
+00:17:57,910 --> 00:18:01,030
+angle of transmission increases to a greater
+
+273
+00:18:01,030 --> 00:18:02,530
+degree. The more the angle of incidence increases,
+
+274
+00:18:06,820 --> 00:18:09,340
+this is the same, but the drawing is reversed, the
+
+275
+00:18:09,340 --> 00:18:11,920
+glass above and the air below, the more we
+
+276
+00:18:11,920 --> 00:18:13,340
+increase the angle of fall, the more the
+
+277
+00:18:13,340 --> 00:18:22,360
+reduction, which is which is this, excuse me which
+
+278
+00:18:22,360 --> 00:18:24,620
+is this, plus the reduction, the more we increase
+
+279
+00:18:24,620 --> 00:18:28,520
+the angle of fall, the angle of reduction
+
+280
+00:18:28,520 --> 00:18:34,520
+increases to a greater degree until it reaches
+
+281
+00:18:39,830 --> 00:18:45,010
+let's say it's around 90% it's more than 90% it's
+
+282
+00:18:45,010 --> 00:18:51,710
+more than 90% it's more than 90% it's more than 90
+
+283
+00:18:51,710 --> 00:18:52,730
+% it's more than 90% it's more than 90% it's more
+
+284
+00:18:52,730 --> 00:18:52,810
+than 90% it's more than 90% it's more than 90%
+
+285
+00:18:52,810 --> 00:18:52,850
+it's more than 90% it's more than 90% it's more
+
+286
+00:18:52,850 --> 00:18:55,110
+than 90% it's more than 90% it's more than 90%
+
+287
+00:18:55,110 --> 00:19:00,010
+it's more than 90% it's more than 90%
+
+288
+00:19:08,390 --> 00:19:10,970
+So it increases the angle of deflection by
+
+289
+00:19:10,970 --> 00:19:12,610
+increasing the angle of deflection, but the angle
+
+290
+00:19:12,610 --> 00:19:15,410
+of deflection increases by a greater degree. Until
+
+291
+00:19:15,410 --> 00:19:18,610
+it reaches the angle of deflection equal to 90
+
+292
+00:19:18,610 --> 00:19:22,450
+degrees. 90 degrees means that the broken beam of
+
+293
+00:19:22,450 --> 00:19:27,440
+the transmitted ray becomeson the surface, on the
+
+294
+00:19:27,440 --> 00:19:29,760
+surface, it didn't move to the other substance
+
+295
+00:19:29,760 --> 00:19:31,700
+which is the air, nor did it return to the
+
+296
+00:19:31,700 --> 00:19:33,800
+substance that it came from, which is the rock.
+
+297
+00:19:34,200 --> 00:19:36,680
+When the angle of contraction reaches 90 degrees,
+
+298
+00:19:36,740 --> 00:19:40,040
+then I calculate the angle of descent, which is
+
+299
+00:19:40,040 --> 00:19:43,080
+theta I, I call it critical angle. And critical
+
+300
+00:19:43,080 --> 00:19:44,960
+angle, we will symbolize it with a new symbol
+
+301
+00:19:44,960 --> 00:19:47,960
+called theta C, from the word critical, which
+
+302
+00:19:47,960 --> 00:19:50,800
+means the crooked angle.Theta C is the same as
+
+303
+00:19:50,800 --> 00:19:55,200
+Theta I, but with
+
+304
+00:19:55,200 --> 00:19:58,920
+an angle of 90 degrees.
+
+305
+00:20:01,360 --> 00:20:04,860
+As the angle of incidence increases, the angle of
+
+306
+00:20:04,860 --> 00:20:07,440
+transmission increases to a greater degree.
+
+307
+00:20:07,940 --> 00:20:17,620
+Eventually, at this point,
+
+308
+00:20:18,020 --> 00:20:21,480
+the ray grazes along the optical interface and is
+
+309
+00:20:21,480 --> 00:20:25,430
+no longer transmitted.In this moment, the
+
+310
+00:20:25,430 --> 00:20:28,470
+transmitted ray cannot even be called a
+
+311
+00:20:28,470 --> 00:20:30,770
+transmitted ray. Why? Because it did not go to the
+
+312
+00:20:30,770 --> 00:20:34,330
+second substance. It began to run on the surface.
+
+313
+00:20:34,530 --> 00:20:37,110
+It grazes on the surface. It grazes on the
+
+314
+00:20:37,110 --> 00:20:40,430
+surface. As a result, it came to a distance at the
+
+315
+00:20:40,430 --> 00:20:42,790
+optical interface. I cannot say that it moved to
+
+316
+00:20:42,790 --> 00:20:45,670
+the second substance or returned to the first
+
+317
+00:20:45,670 --> 00:20:47,610
+substance, which is the glass that came from it.
+
+318
+00:20:49,290 --> 00:20:50,970
+And here, this drawing shows that this is the
+
+319
+00:20:50,970 --> 00:20:54,470
+case. We move from the glassNow, at the critical
+
+320
+00:20:54,470 --> 00:20:58,170
+angle, which is the angle of falling, which
+
+321
+00:20:58,170 --> 00:21:03,170
+creates a 90-degree angle of contraction, then the
+
+322
+00:21:03,170 --> 00:21:08,230
+transmitted ray or refracted ray starts to run on
+
+323
+00:21:08,230 --> 00:21:11,490
+the line, and therefore neither moves to the air
+
+324
+00:21:11,490 --> 00:21:15,330
+nor returns to
+
+325
+00:21:15,330 --> 00:21:18,290
+the glass. So if we ask ourselves, what is the
+
+326
+00:21:18,290 --> 00:21:19,910
+critical angle? What is the definition of the
+
+327
+00:21:19,910 --> 00:21:23,920
+critical angle? It is the angle of falling.It is
+
+328
+00:21:23,920 --> 00:21:26,080
+the angle of descent that makes the angle of
+
+329
+00:21:26,080 --> 00:21:30,180
+descent 90 degrees. A person may get confused or
+
+330
+00:21:30,180 --> 00:21:34,380
+think that this is the critical angle which is 90
+
+331
+00:21:34,380 --> 00:21:37,060
+degrees. No, this 90 degrees is the angle of
+
+332
+00:21:37,060 --> 00:21:42,860
+passage or theta T. As for theta I which makes
+
+333
+00:21:42,860 --> 00:21:46,980
+theta T 90 degrees, I call it the critical angle.
+
+334
+00:21:48,880 --> 00:21:53,880
+The critical angle is the angle of incidence.that
+
+335
+00:21:53,880 --> 00:21:58,200
+produce transmitted ray 90 degree to the surface
+
+336
+00:21:58,200 --> 00:22:01,200
+normal 90 degree to the surface normal يعني يجري
+
+337
+00:22:01,200 --> 00:22:07,180
+على السطح الان كيف نحسب θC كيف نحسب θC the
+
+338
+00:22:07,180 --> 00:22:12,320
+critical angle θC is calculated from Snell's law
+
+339
+00:22:12,320 --> 00:22:18,480
+من قانون الانكسار اللي هو بينص على انه Ni sin θI
+
+340
+00:22:18,480 --> 00:22:25,900
+يسوى Nt sin θT طيبOkay, ni sin theta I, theta I is
+
+341
+00:22:25,900 --> 00:22:28,100
+the angle of descent, but this time I will
+
+342
+00:22:28,100 --> 00:22:31,880
+calculate it for the critical angle. So, ni sin
+
+343
+00:22:31,880 --> 00:22:37,220
+theta C is equal to nT sin, which is nT sin theta
+
+344
+00:22:37,220 --> 00:22:39,960
+T, theta T is 90, because I am calculating for the
+
+345
+00:22:39,960 --> 00:22:42,140
+critical angle, which gives me the angle of
+
+346
+00:22:42,140 --> 00:22:47,400
+passage, which is 90. So, the sin of 90 is 1, so
+
+347
+00:22:47,400 --> 00:22:53,240
+the sin of 90 degrees is 1, then I sayni sine
+
+348
+00:22:53,240 --> 00:22:57,260
+theta c equals nt because we multiply it by one
+
+349
+00:22:57,260 --> 00:23:02,780
+and it remains nt I want to continue by saying
+
+350
+00:23:02,780 --> 00:23:07,680
+rearranging gives sine theta c equals nt divided
+
+351
+00:23:07,680 --> 00:23:10,480
+by ni how did we get to this point? we say that we
+
+352
+00:23:10,480 --> 00:23:13,480
+got to this point by dividing both sides by ni
+
+353
+00:23:13,480 --> 00:23:17,740
+sine theta t equals ni sine theta t when I divide
+
+354
+00:23:17,740 --> 00:23:22,480
+it by ni it becomes ni with niو nt لما اقسمه على
+
+355
+00:23:22,480 --> 00:23:29,940
+ni بيظل عندى nt على ni اذا sign θc يساوي nt على ni
+
+356
+00:23:29,940 --> 00:23:35,260
+so the angle of transmission is 90 degree when the
+
+357
+00:23:35,260 --> 00:23:39,500
+angle of incidence اذا انا عرف ال j بالزاوية بقدر
+
+358
+00:23:39,500 --> 00:23:44,600
+اعرف الزاوية اذا θc يساوي arc sign او shift sign
+
+359
+00:23:44,600 --> 00:23:49,620
+nt على ni و بقدر احدد بالظبط يعني مقدار هدى
+
+360
+00:23:49,880 --> 00:23:59,360
+الزاوية، مقدارها دي الزاوية Now if
+
+361
+00:23:59,360 --> 00:24:04,720
+we consider that the air is one and that the glass
+
+362
+00:24:04,720 --> 00:24:08,160
+is one and a halfthe critical angle will be
+
+363
+00:24:08,160 --> 00:24:13,320
+approximately 41 degrees 41 degrees okay now the
+
+364
+00:24:13,320 --> 00:24:17,340
+question that arises to itself what happens if the
+
+365
+00:24:17,340 --> 00:24:19,780
+light falls with an angle greater than the
+
+366
+00:24:19,780 --> 00:24:22,840
+critical angle greater than the critical angle
+
+367
+00:24:22,840 --> 00:24:26,280
+let's see what the simulation gives me we say
+
+368
+00:24:26,280 --> 00:24:29,160
+approximately we have to consider this critical
+
+369
+00:24:29,160 --> 00:24:32,160
+angle to be slightly greater than the critical
+
+370
+00:24:32,160 --> 00:24:34,820
+angle that is, when this radiation occursIt
+
+371
+00:24:34,820 --> 00:24:36,920
+becomes correct. Sometimes I consider this to be
+
+372
+00:24:36,920 --> 00:24:39,300
+the critical angle. If I want to increase the
+
+373
+00:24:39,300 --> 00:24:43,220
+critical angle, then all the things that fall at
+
+374
+00:24:43,220 --> 00:24:46,020
+the angles of fall are greater than the critical
+
+375
+00:24:46,020 --> 00:24:50,900
+angle, all of them.Totally بيصير لها reflection
+
+376
+00:24:50,900 --> 00:24:54,220
+تماما في المادة اللي اجت منها وعشان ايه بيسموه
+
+377
+00:24:54,220 --> 00:24:58,840
+Total Internal Reflection Reflection مفهوم انعكاس
+
+378
+00:24:58,840 --> 00:25:02,960
+في نفس المادة يعني ضال في نفس الوسط اللي اجا منه
+
+379
+00:25:02,960 --> 00:25:08,800
+Total يعني كل الأشعةWhat does it mean? Any rays,
+
+380
+00:25:09,020 --> 00:25:13,320
+all the rays that fall at an angle greater than
+
+381
+00:25:13,320 --> 00:25:16,120
+the critical angle, it must be at an angle greater
+
+382
+00:25:16,120 --> 00:25:23,620
+than the critical angle, all of them will have
+
+383
+00:25:23,620 --> 00:25:26,040
+an internal reflection, internal means in the same
+
+384
+00:25:26,040 --> 00:25:30,340
+substance, and all of them means if 100,000 rays
+
+385
+00:25:30,340 --> 00:25:34,870
+fall from meall the 100,000 rays fall at an angle
+
+386
+00:25:34,870 --> 00:25:39,330
+greater than the critical angle 100% of them, that
+
+387
+00:25:39,330 --> 00:25:41,510
+is, all the 100,000 rays will be reflected in the
+
+388
+00:25:41,510 --> 00:25:45,150
+matter they come from. So the total internal
+
+389
+00:25:45,150 --> 00:25:49,670
+reflection occurs when the rays fall from the
+
+390
+00:25:49,670 --> 00:25:52,910
+middle of the highest density to the middle of the
+
+391
+00:25:52,910 --> 00:25:58,470
+lowest density but at an angle greater than the
+
+392
+00:25:58,470 --> 00:26:02,110
+critical anglethen all the things that fell will
+
+393
+00:26:02,110 --> 00:26:05,010
+reflect inside the matter that came from it and
+
+394
+00:26:05,010 --> 00:26:07,470
+this phenomenon is called Total Internal
+
+395
+00:26:07,470 --> 00:26:12,350
+Reflection Total Internal Reflection Now let's see
+
+396
+00:26:12,350 --> 00:26:18,450
+some of the things that help me understand this
+
+397
+00:26:18,450 --> 00:26:21,710
+issue We say that the experience here is really
+
+398
+00:26:21,710 --> 00:26:25,190
+great Let's see the phenomenon of Total Internal
+
+399
+00:26:25,190 --> 00:26:30,020
+Reflection and follow it togetherand we see the
+
+400
+00:26:30,020 --> 00:26:33,120
+light, how it will happen in it of course these
+
+401
+00:26:33,120 --> 00:26:38,180
+drawings will happen to me this is a glass, we
+
+402
+00:26:38,180 --> 00:26:40,020
+will insert the light in the glass, but the lesson
+
+403
+00:26:40,020 --> 00:26:42,540
+is not about inserting the light this is a
+
+404
+00:26:42,540 --> 00:26:44,900
+vertical fall, a vertical fall to the light, it
+
+405
+00:26:44,900 --> 00:26:47,000
+didn't change its way, it didn't change its way
+
+406
+00:26:47,000 --> 00:26:53,320
+now we want to do I
+
+407
+00:26:53,320 --> 00:26:57,620
+will stop here and say as followsهي زاوية السقوط،
+
+408
+00:26:57,620 --> 00:27:00,660
+هاي ال service normal اللي أنا بأشير عليه، وهي
+
+409
+00:27:00,660 --> 00:27:05,720
+الشعاع الساقط، أنا مائلي في المسافة هاي، الآن
+
+410
+00:27:05,720 --> 00:27:09,420
+الشعاع في داخل الجزاز، أنا بدي أشوف الشعاع لما بدي
+
+411
+00:27:09,420 --> 00:27:14,380
+أطلع من الجزاز اللي هو وسط أعلى في الكثافة، للهوة
+
+412
+00:27:14,380 --> 00:27:18,780
+اللي هو وسط أقل في الكثافة، زاوية السقوط تساوي
+
+413
+00:27:18,780 --> 00:27:24,070
+عشرة degree، عشرة degree، هاي عشرةthis is 20, this
+
+414
+00:27:24,070 --> 00:27:28,070
+is 30, this is 40 this is the angle of fall 10
+
+415
+00:27:28,070 --> 00:27:29,790
+degrees do you see how much is the angle of
+
+416
+00:27:29,790 --> 00:27:34,030
+deflection? 15 degrees this is 10, this is 0, 10,
+
+417
+00:27:34,270 --> 00:27:38,070
+15 so the angle of deflection is greater than the
+
+418
+00:27:38,070 --> 00:27:41,530
+angle of fall because the light moves from the
+
+419
+00:27:41,530 --> 00:27:43,450
+middle of the highest density to the middle of the
+
+420
+00:27:43,450 --> 00:27:46,330
+lowest density to the middle of the lowest density
+
+421
+00:27:46,330 --> 00:27:49,210
+okay now we want to follow and see when the angle
+
+422
+00:27:49,210 --> 00:27:51,530
+of fall increases how the angle of deflection
+
+423
+00:27:51,530 --> 00:27:52,390
+increases more
+
+424
+00:28:02,250 --> 00:28:06,550
+Hannigaff هنا تقريبا زاوية السقوط 22 degree يعني
+
+425
+00:28:06,550 --> 00:28:12,290
+20 21 22 تقريبا بينما زاوية الإنكسار لما خرج الضوء
+
+426
+00:28:12,290 --> 00:28:16,510
+للهوى من الجزاز لما خرج الضوء للهوى من الجزاز هنا
+
+427
+00:28:16,510 --> 00:28:20,990
+قلنا 20 ل22 تقريبا تقريبا 21 ل22 degree زاوية
+
+428
+00:28:20,990 --> 00:28:26,310
+السقوط هنا أصبحت زاوية الإنكسار تقريبا 34 degree
+
+429
+00:28:26,310 --> 00:28:27,870
+طيب نتابع أكتر
+
+430
+00:28:37,130 --> 00:28:40,290
+وصلنا تقريبا لزاوية سقوط تلاتين واحد و تلاتين
+
+431
+00:28:40,290 --> 00:28:44,710
+degree أصبحت زاوية الانكسار تقريبا تسعة و أربعين
+
+432
+00:28:44,710 --> 00:28:47,770
+degree ليش؟ لأن الدوء بينتقل من وسط أعلى في
+
+433
+00:28:47,770 --> 00:28:51,230
+الكثافة لوسط أقل، بيبعد عن ال service normal،
+
+434
+00:28:51,230 --> 00:28:52,750
+بيبعد عن ال service normal
+
+435
+00:29:05,700 --> 00:29:09,460
+الان عندما وصلت زاوية السقوط تقريبا اربعين degree
+
+436
+00:29:09,460 --> 00:29:13,600
+واحد واربعين degree أصبحت زاوية الانكسار تقريبا
+
+437
+00:29:13,600 --> 00:29:18,900
+تقريبا تمانين
+
+438
+00:29:18,900 --> 00:29:25,800
+degree انتبع مع بعض لأ
+
+439
+00:29:25,800 --> 00:29:30,140
+بدنا نرجع شوية عشان مانفوتش لحظة ال critical angle
+
+440
+00:29:39,190 --> 00:29:42,170
+almost this critical angle or we made a mistake
+
+441
+00:29:48,870 --> 00:29:53,210
+يعني تجريبا تجريبا بعض الأشعة بعض الأشعة سقطة ب
+
+442
+00:29:53,210 --> 00:29:56,650
+critical angle و بتسبح على السطح أو قبل ما تسبح
+
+443
+00:29:56,650 --> 00:30:00,210
+على السطح و بعض الأشعة ما هي عندنا أشعات كتيرة
+
+444
+00:30:00,210 --> 00:30:03,850
+يعني حزمة من الأشعة الأشعة اللي سقطت بزاوية سقوط
+
+445
+00:30:03,850 --> 00:30:06,450
+أكبر من ال critical angle زي ما أنتوا شايفين هي
+
+446
+00:30:06,450 --> 00:30:11,420
+انعكسات و الأشعة اللي سقطت بزاوية سقوطless than
+
+447
+00:30:11,420 --> 00:30:14,320
+the critical angle, it will go to the second
+
+448
+00:30:14,320 --> 00:30:16,800
+substance and the rays that fell in the angle of
+
+449
+00:30:16,800 --> 00:30:19,300
+fall equal to the critical angle will remain
+
+450
+00:30:19,300 --> 00:30:23,760
+floating on the surface as I show you now
+
+451
+00:30:23,760 --> 00:30:29,720
+everything else will become total internal
+
+452
+00:30:29,720 --> 00:30:35,120
+reflection if you notice, there are no rays nowWe
+
+453
+00:30:35,120 --> 00:30:37,640
+have now reached the critical angle and not a
+
+454
+00:30:37,640 --> 00:30:41,540
+single ray of light is emitted from the optical
+
+455
+00:30:41,540 --> 00:30:45,900
+interface. As much as we enlarge the angle of fall
+
+456
+00:30:45,900 --> 00:30:48,700
+away from the critical angle, the total internal
+
+457
+00:30:48,700 --> 00:30:51,140
+reflection returns to the same substance that came
+
+458
+00:30:51,140 --> 00:30:55,520
+from it. No matter how much we enlarge the angle
+
+459
+00:30:55,520 --> 00:30:58,140
+away from the critical angle. This phenomenon is
+
+460
+00:30:58,140 --> 00:31:03,740
+called the total internal reflection.
+
+461
+00:31:04,910 --> 00:31:09,350
+we go back to the powerpoint and say that any ray
+
+462
+00:31:09,350 --> 00:31:12,950
+that falls at an angle greater than the critical
+
+463
+00:31:12,950 --> 00:31:17,050
+angle will have total internal reflection total
+
+464
+00:31:17,050 --> 00:31:22,310
+internal reflection and thus these three scenarios
+
+465
+00:31:22,310 --> 00:31:28,020
+that occur withThe light when it moves from the
+
+466
+00:31:28,020 --> 00:31:30,740
+upper middle of the density to the lower middle of
+
+467
+00:31:30,740 --> 00:31:33,640
+the density, in this example which is from the
+
+468
+00:31:33,640 --> 00:31:38,320
+water to the air, the angle of fall is greater
+
+469
+00:31:38,320 --> 00:31:40,400
+than the angle of breakage because the broken rays
+
+470
+00:31:41,170 --> 00:31:45,510
+away from the normal service when we increase the
+
+471
+00:31:45,510 --> 00:31:48,550
+angle of fall when we increase the angle of fall
+
+472
+00:31:48,550 --> 00:31:52,510
+the angle of deflection increases to a greater
+
+473
+00:31:52,510 --> 00:31:56,630
+degree until we reach a certain angle of fall this
+
+474
+00:31:56,630 --> 00:31:59,670
+certain angle of fall I call it the critical angle
+
+475
+00:31:59,670 --> 00:32:03,830
+or theta C what makes it theta C or the critical
+
+476
+00:32:03,830 --> 00:32:07,410
+angle it is the angle of fall that makes the angle
+
+477
+00:32:07,410 --> 00:32:13,330
+of deflection or theta T 90 degreesIf the angle of
+
+478
+00:32:13,330 --> 00:32:14,570
+fall increases more than the critical angle, all
+
+479
+00:32:14,570 --> 00:32:17,650
+the rays, all the rays, and we focus on the word
+
+480
+00:32:17,650 --> 00:32:22,090
+all the rays that fell at an angle greater than
+
+481
+00:32:22,090 --> 00:32:25,470
+the critical angle, it becomes total internal
+
+482
+00:32:25,470 --> 00:32:29,210
+reflection, meaning that everything is reflected
+
+483
+00:32:29,210 --> 00:32:31,210
+inside the substance, as we showed in the video
+
+484
+00:32:31,210 --> 00:32:36,650
+beforeAs figure shows, the angle of transmission
+
+485
+00:32:36,650 --> 00:32:41,010
+increases as the angle of incidence increases, but
+
+486
+00:32:41,010 --> 00:32:45,110
+the angle of transmission cannot exceed 90
+
+487
+00:32:45,110 --> 00:32:45,490
+degrees.
+
+488
+00:32:56,770 --> 00:33:01,130
+وها دي زاوية المرور، بنقوله لأ كلمة مرور، كلمة
+
+489
+00:33:01,130 --> 00:33:06,310
+مرور تعني مر من وسط و أصبح في وسط آخر، عبر من وسط
+
+490
+00:33:06,310 --> 00:33:10,950
+لوسط آخر، هل الشعاع هذا عبر؟ لأ، إذا كلمة مرور لا
+
+491
+00:33:10,950 --> 00:33:14,130
+تصلح للاستخدام، الآن مش transmission، مش
+
+492
+00:33:14,130 --> 00:33:18,110
+refraction، وإنما reflection، وإنما reflection
+
+493
+00:33:18,110 --> 00:33:23,250
+لأنه إش هو ال reflection؟It is the reflection of
+
+494
+00:33:23,250 --> 00:33:25,690
+light to the same medium that came from it when it
+
+495
+00:33:25,690 --> 00:33:28,350
+collided with a wall or a wall or a surface
+
+496
+00:33:28,350 --> 00:33:32,250
+separated between two objects. Here, exactly, the
+
+497
+00:33:32,250 --> 00:33:35,070
+light came from the glass and reached an optical
+
+498
+00:33:35,070 --> 00:33:38,490
+interface, a distance between two media, but it
+
+499
+00:33:38,490 --> 00:33:41,190
+was reflected, that is, it returned to the medium
+
+500
+00:33:41,190 --> 00:33:43,010
+that came from it. So this I do not call a break,
+
+501
+00:33:43,450 --> 00:33:46,830
+and this is the angle that I cannot call a
+
+502
+00:33:46,830 --> 00:33:49,670
+passage. That is to say, by God, the angle of
+
+503
+00:33:49,670 --> 00:33:53,770
+passagemore than 90, 91, 92, what does more than
+
+504
+00:33:53,770 --> 00:33:58,550
+90 mean? 91, 95, 100 degrees, this is not correct,
+
+505
+00:33:58,690 --> 00:34:01,030
+because if it is less than 90, it means that the
+
+506
+00:34:01,030 --> 00:34:03,510
+light is reflected in the same medium that came
+
+507
+00:34:03,510 --> 00:34:06,670
+from it, as the view I have here shows, as the
+
+508
+00:34:06,670 --> 00:34:12,310
+view shows, but the critical or but the angle of
+
+509
+00:34:12,310 --> 00:34:14,830
+transmission cannot exceed 90 degrees,
+
+510
+00:34:15,350 --> 00:34:18,330
+consequently refraction cannot occur, in this
+
+511
+00:34:18,330 --> 00:34:22,110
+case,in this case, it is not possible for
+
+512
+00:34:22,110 --> 00:34:24,810
+refraction to occur it is not possible for the
+
+513
+00:34:24,810 --> 00:34:27,810
+light to pass through the other substance the
+
+514
+00:34:27,810 --> 00:34:31,430
+light does not break, but it is reflected indeed,
+
+515
+00:34:31,750 --> 00:34:35,230
+Snell's law has no valid mathematical solution in
+
+516
+00:34:35,230 --> 00:34:39,230
+real numbers when the critical angle is exceeded
+
+517
+00:34:39,230 --> 00:34:42,070
+of course, the law of refraction, which is Snell's
+
+518
+00:34:42,070 --> 00:34:48,110
+law cannot find a solution with real numbers
+
+519
+00:34:50,610 --> 00:34:55,530
+لهدي المسألة وإنما إيش اللي حصل اللي حصل ببساطة
+
+520
+00:34:55,530 --> 00:34:59,470
+the incident ray is مئة بالمئة reflected totally
+
+521
+00:34:59,470 --> 00:35:04,850
+reflected واحنا بنركز على جملة إنه كل شعاع مهما
+
+522
+00:35:04,850 --> 00:35:10,850
+كان كمية الأشعة كل شعاع منها بيسقط بزاوية سقوط
+
+523
+00:35:10,850 --> 00:35:14,670
+أكتر من ال critical angle مئة بالمئة كل هذه الأشعة
+
+524
+00:35:14,670 --> 00:35:20,820
+بتنعكس داخل المادة اللتي أتت منهافبالتالي هذا يسمى
+
+525
+00:35:20,820 --> 00:35:24,900
+الـ Total Internal Reflection Total Internal
+
+526
+00:35:24,900 --> 00:35:28,220
+Reflection عبارة عن ظاهرة غريبة curious phenomenon
+
+527
+00:35:28,220 --> 00:35:32,320
+consider light traveling from spectacular crown
+
+528
+00:35:32,320 --> 00:35:38,150
+glass to air if the angle of incidence isTen
+
+529
+00:35:38,150 --> 00:35:42,150
+degrees, the light transmits easily as it crosses
+
+530
+00:35:42,150 --> 00:35:45,930
+the interface. However, if the angle of incidence
+
+531
+00:35:45,930 --> 00:35:50,050
+is 45 degrees, the interface becomes an
+
+532
+00:35:50,050 --> 00:35:55,610
+impenetrable barrier. The interface is transparent
+
+533
+00:35:55,610 --> 00:35:58,470
+to some rays and opaque to other rays.
+
+534
+00:36:07,370 --> 00:36:12,110
+to the air, we say we want to see if it is 10
+
+535
+00:36:12,110 --> 00:36:18,230
+degrees this
+
+536
+00:36:18,230 --> 00:36:22,110
+is 10 degrees, it is true that the refracted rays
+
+537
+00:36:22,110 --> 00:36:25,070
+go away, the angle of contraction is 15 degrees,
+
+538
+00:36:25,230 --> 00:36:28,190
+but the rays penetrate the other substance, which
+
+539
+00:36:28,190 --> 00:36:31,190
+is the air easily, okay, if we leave the angle of
+
+540
+00:36:31,190 --> 00:36:33,010
+contraction 45 degrees
+
+541
+00:36:37,260 --> 00:36:41,820
+the distance between the glass and the air became
+
+542
+00:36:41,820 --> 00:36:50,040
+impenetrable barrier because it
+
+543
+00:36:50,040 --> 00:36:53,800
+fell at an angle greater than the critical angle
+
+544
+00:36:53,800 --> 00:36:57,260
+and we should not forget that we calculated the
+
+545
+00:36:57,260 --> 00:37:01,990
+critical angle between the air andالجزاز طلعت
+
+546
+00:37:01,990 --> 00:37:05,510
+تقريبا واحد واربعين degree، واحد واربعين degree
+
+547
+00:37:05,510 --> 00:37:08,950
+يعني أي شعاع بيسقط بزاوية سقوط أكبر من واحد
+
+548
+00:37:08,950 --> 00:37:12,710
+واربعين degree، هيصيرله total internal reflection،
+
+549
+00:37:12,710 --> 00:37:15,990
+يعني هيرجع من حيثه أتا، يعني هيرجع من ناحية
+
+550
+00:37:15,990 --> 00:37:21,510
+الجزاز، هيرجع من ناحية الجزاز أو إلى الزجاج اللي
+
+551
+00:37:21,510 --> 00:37:27,360
+صدر منهPhysicists have devoted great deal
+
+552
+00:37:27,360 --> 00:37:31,540
+attention to this phenomenon. طبعا ظاهرة ال total
+
+553
+00:37:31,540 --> 00:37:35,300
+internal reflection استفادوا منها العلماء بشكل
+
+554
+00:37:35,300 --> 00:37:40,120
+حقيقة رائع ومميز،
+
+555
+00:37:40,120 --> 00:37:45,640
+بشكل رائع ومميز، هذا الشكل الرائع والمميز، كيف
+
+556
+00:37:45,640 --> 00:37:49,960
+استفادواالعلماء من ظاهرة الـ Total Internal
+
+557
+00:37:49,960 --> 00:37:54,780
+Reflection وإيش الفوائد اللي بتعطينياها وإيش حقيقة
+
+558
+00:37:54,780 --> 00:38:00,180
+الصعوبات اللي أحيانا بيواجهها طبيب العيون أثناء أو
+
+559
+00:38:00,180 --> 00:38:02,640
+بسبب ظاهرة الـ Total Internal Reflection هذا
+
+560
+00:38:02,640 --> 00:38:06,240
+الكلام كله هنحكي عنه المرة القادمة ان شاء الله
+
+561
+00:38:06,240 --> 00:38:09,600
+تعالى ويعطيكم العافية والسلام عليكم ورحمة الله
+
+562
+00:38:09,600 --> 00:38:10,500
+وبركاته
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3U8quwM9QDg_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3U8quwM9QDg_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..48fd106200880999bb7d974895f2db5668120023
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3U8quwM9QDg_postprocess.srt
@@ -0,0 +1,1392 @@
+1
+00:00:01,500 --> 00:00:06,140
+بسم الله الرحمن الرحيم بنبدأ مع علم ال geometric
+
+2
+00:00:06,140 --> 00:00:10,160
+optics والمحاضرة الأولى ال geometric optics أو
+
+3
+00:00:10,160 --> 00:00:18,100
+البصريات الهندسية هو علم معنى بدراسة رحلة الضوء
+
+4
+00:00:18,100 --> 00:00:25,140
+انطلاقا من الأجسام ووصولا إلى صور تلك الأجسام يعني
+
+5
+00:00:25,140 --> 00:00:29,780
+كل جسمstands in front of cameras such as lenses,
+
+6
+00:00:30,200 --> 00:00:33,700
+mirrors or similar things or cameras that take
+
+7
+00:00:33,700 --> 00:00:36,840
+pictures of it. The light moves from this body
+
+8
+00:00:36,840 --> 00:00:39,540
+through the cameras, which we will call the
+
+9
+00:00:39,540 --> 00:00:44,460
+optical system, and the light then reaches the
+
+10
+00:00:44,460 --> 00:00:48,340
+image. The optical system collects the rays to
+
+11
+00:00:48,340 --> 00:00:51,740
+form a picture of what is in the vacuum, in the
+
+12
+00:00:51,740 --> 00:00:54,840
+place of water.And that's how the light journey
+
+13
+00:00:54,840 --> 00:01:00,060
+ends. It starts from the body, then it reaches the
+
+14
+00:01:00,060 --> 00:01:04,320
+optical system or photography equipment from a
+
+15
+00:01:04,320 --> 00:01:09,100
+lens or a mirror or a camera or anything else and
+
+16
+00:01:09,100 --> 00:01:13,620
+it reaches the image Now in scientific terms or in
+
+17
+00:01:13,620 --> 00:01:17,500
+English, the body is called the objectThe object
+
+18
+00:01:17,500 --> 00:01:20,940
+and the photography equipment they call it the
+
+19
+00:01:20,940 --> 00:01:24,780
+optical system or the visual system The visual
+
+20
+00:01:24,780 --> 00:01:30,180
+system and the picture they call it the image, so
+
+21
+00:01:30,180 --> 00:01:34,680
+I have object and I have optical system and I have
+
+22
+00:01:34,680 --> 00:01:38,250
+imageThe journey of light from the object to the
+
+23
+00:01:38,250 --> 00:01:40,830
+image, to the formation of the image, through the
+
+24
+00:01:40,830 --> 00:01:43,530
+optical system, this science, which is the science
+
+25
+00:01:43,530 --> 00:01:47,270
+of geometric optics, means studying this journey
+
+26
+00:01:47,270 --> 00:01:54,170
+and this path that follows the light Now I want to
+
+27
+00:01:54,170 --> 00:01:57,470
+know or .. or .. I mean, what is the thing in
+
+28
+00:01:57,470 --> 00:02:02,190
+existence that I can call optical system? Actually
+
+29
+00:02:02,190 --> 00:02:08,270
+.. actually all thingswhich can form a picture,
+
+30
+00:02:08,450 --> 00:02:12,890
+anything can form a picture, I call it a visual
+
+31
+00:02:12,890 --> 00:02:17,970
+system or optical system And here I want to point
+
+32
+00:02:17,970 --> 00:02:21,010
+out a very important point, not necessarily that
+
+33
+00:02:21,010 --> 00:02:23,950
+the picture should be clear Let's give many
+
+34
+00:02:23,950 --> 00:02:27,570
+examples of this A person with his phone, the
+
+35
+00:02:27,570 --> 00:02:31,890
+phone is turned off, he looks at the screen of the
+
+36
+00:02:31,890 --> 00:02:36,270
+black phone and seessaw a picture of himself in
+
+37
+00:02:36,270 --> 00:02:38,850
+the phone, so he used the phone as if it was a
+
+38
+00:02:38,850 --> 00:02:42,030
+mirror, as if it was a mirror, this way the phone
+
+39
+00:02:42,030 --> 00:02:44,670
+screen is considered an optical system because it
+
+40
+00:02:44,670 --> 00:02:47,730
+formed a picture, a person walking in front of a
+
+41
+00:02:47,730 --> 00:02:52,530
+glass shopوشاف صورة حاله في الإجازة هذه الواجهة
+
+42
+00:02:52,530 --> 00:02:57,490
+الزجاجية تعتبر optical system إنسان آخر يقف أمام
+
+43
+00:02:57,490 --> 00:03:04,370
+سيارة مغلق زجاجها شاف صورته في الزجاج إذا الزجاج
+
+44
+00:03:04,370 --> 00:03:10,430
+يعتبر optical system إنسان رابع بتطلع في ساعة اليد
+
+45
+00:03:10,430 --> 00:03:17,400
+بتاعتهفشاف صورة نفسه في إجزاز الساعة و هذه ساعتها
+
+46
+00:03:17,400 --> 00:03:20,360
+إجزاز الساعة يعتبر optical system أيضا من ال
+
+47
+00:03:20,360 --> 00:03:25,140
+optical system اللي هي عين الإنسان أو عين الحيوان
+
+48
+00:03:25,140 --> 00:03:33,160
+أو يعني العدسات، المرايا و ما إلى ذلك، إذا هذه كل
+
+49
+00:03:33,160 --> 00:03:38,360
+ما يستطيع أن يكون صورة يعتبر optical system، يعتبر
+
+50
+00:03:38,360 --> 00:03:43,310
+optical systemالآن بنبدأ مع بعض مع هذا العلم بنقول
+
+51
+00:03:43,310 --> 00:03:48,110
+Geometric optics is the study of light and images
+
+52
+00:03:48,110 --> 00:03:52,710
+using geometric principles يعني أنا بدرس الضوء و
+
+53
+00:03:52,710 --> 00:03:56,430
+الصورة اللي اتكونت بواسطة هذا الضوء، طبعا الضوء من
+
+54
+00:03:56,430 --> 00:04:00,110
+وين؟ إجا من ال object، من الأجسام، إذا the study
+
+55
+00:04:00,110 --> 00:04:04,250
+of light and imageswhich is made up of bodies
+
+56
+00:04:04,250 --> 00:04:08,890
+using geometric principles by using the principles
+
+57
+00:04:08,890 --> 00:04:12,750
+of vacuum engineering to create a vacuum in the
+
+58
+00:04:12,750 --> 00:04:17,570
+vacuum or in any part of the vacuum. Geometric
+
+59
+00:04:17,570 --> 00:04:21,910
+optics uses linear rays to represent the path
+
+60
+00:04:21,910 --> 00:04:26,050
+traveled by lightNow when we want to point out and
+
+61
+00:04:26,050 --> 00:04:29,790
+point out on the path led by light When it left
+
+62
+00:04:29,790 --> 00:04:33,210
+the body and reached the camera or the optical
+
+63
+00:04:33,210 --> 00:04:37,850
+system Then after that it formed the image I use
+
+64
+00:04:37,850 --> 00:04:43,630
+straight arrows or straight rays Of course we call
+
+65
+00:04:43,630 --> 00:04:48,370
+them light rays, we call them light rays Of course
+
+66
+00:04:48,370 --> 00:04:52,070
+these light rays that we represent with straight
+
+67
+00:04:52,070 --> 00:04:57,160
+linesto .. to show or represent the path through
+
+68
+00:04:57,160 --> 00:04:58,860
+which the light travels .. the path through which
+
+69
+00:04:58,860 --> 00:05:02,000
+the light travels One can say that this
+
+70
+00:05:02,000 --> 00:05:03,900
+information is not strange, that is, we always
+
+71
+00:05:03,900 --> 00:05:07,880
+draw rays in a straight line It is actually ..
+
+72
+00:05:07,880 --> 00:05:12,940
+this case was intended to show something very
+
+73
+00:05:12,940 --> 00:05:15,980
+important that the nature of light is a wave
+
+74
+00:05:15,980 --> 00:05:17,780
+nature, that is, light is supposed to be drawn as
+
+75
+00:05:17,780 --> 00:05:23,710
+wavesLight is a kind of electromagnetic waves that
+
+76
+00:05:23,710 --> 00:05:26,370
+our eyes have sensors that can interact with it
+
+77
+00:05:26,370 --> 00:05:30,030
+and understand it Therefore, light is not .. the
+
+78
+00:05:30,030 --> 00:05:31,990
+reality of the matter does not happen in straight
+
+79
+00:05:31,990 --> 00:05:35,570
+lines, but it is waves But in the science of
+
+80
+00:05:35,570 --> 00:05:38,690
+geometric optics, we will consider light as
+
+81
+00:05:38,690 --> 00:05:42,630
+straight lines or we will use straight lines and
+
+82
+00:05:42,630 --> 00:05:44,250
+we will call them light rays
+
+83
+00:05:46,980 --> 00:05:50,040
+to show me where the light came from, or what is
+
+84
+00:05:50,040 --> 00:05:53,260
+the path, what is the journey, or where did the
+
+85
+00:05:53,260 --> 00:05:58,140
+light go from the object, then reaching the
+
+86
+00:05:58,140 --> 00:06:02,740
+optical system, then ending at the image. So this
+
+87
+00:06:02,740 --> 00:06:10,040
+path is .. I mean .. what do they study? Geometric
+
+88
+00:06:10,040 --> 00:06:14,450
+optics science .. Geometric optics scienceThe
+
+89
+00:06:14,450 --> 00:06:19,050
+simplest camera you can get is called the pinhole,
+
+90
+00:06:19,210 --> 00:06:23,370
+the pinhole or the pinhole, or the pinhole, or the
+
+91
+00:06:23,370 --> 00:06:26,290
+pinhole Of course, we will start by explaining a
+
+92
+00:06:26,290 --> 00:06:29,390
+very simple experiment that any person can do at
+
+93
+00:06:29,390 --> 00:06:32,750
+home If we bring a piece of paper from the drawer
+
+94
+00:06:33,620 --> 00:06:36,960
+parchment paper or aluminum foil. This aluminum
+
+95
+00:06:36,960 --> 00:06:39,980
+foil, which is the parchment paper that we use at
+
+96
+00:06:39,980 --> 00:06:45,740
+home to wrap some foods while putting them in the
+
+97
+00:06:45,740 --> 00:06:48,340
+oven, such as chicken and the like. This parchment
+
+98
+00:06:48,340 --> 00:06:52,240
+paper or aluminum foil, we bring a certain paper
+
+99
+00:06:52,240 --> 00:06:57,100
+or ..a small piece of paper and we make holes in
+
+100
+00:06:57,100 --> 00:07:00,960
+the middle of it, we make holes in the middle of
+
+101
+00:07:00,960 --> 00:07:04,080
+it with the tip of the pick or the tip of the
+
+102
+00:07:04,080 --> 00:07:08,310
+needleالآن هذا الثقب بنسميه pinhole يسمى باللغة
+
+103
+00:07:08,310 --> 00:07:12,550
+الإنجليزية pinhole الآن بقى أضوي شمعة .. بقى أضوي
+
+104
+00:07:12,550 --> 00:07:17,290
+شمعة و بقى أجيب ورقة شمع و ورقة شمع إذا ما توفرش
+
+105
+00:07:17,290 --> 00:07:20,950
+عندي بجيب ورقة عادية plain paper اللي هي ال .. ورق
+
+106
+00:07:20,950 --> 00:07:25,310
+ال A4 اللي بنستخدمه في الطبع ورق ال A4 اللي
+
+107
+00:07:25,310 --> 00:07:29,830
+بنستخدمه في الطبعةI leave the candle on the table,
+
+108
+00:07:29,910 --> 00:07:33,330
+I fix it and I light it, I light the candle and I
+
+109
+00:07:33,330 --> 00:07:36,350
+move away, I move away and the paper on which the
+
+110
+00:07:36,350 --> 00:07:38,470
+picture will remain, which is the A4 paper, I move
+
+111
+00:07:38,470 --> 00:07:41,570
+it two feet away from the candle, which is about
+
+112
+00:07:41,570 --> 00:07:45,620
+sixty-six centimetersBajeeb ال .. ال .. ورقة
+
+113
+00:07:45,620 --> 00:07:50,500
+القصدير اللي .. اللي ثقبتها أنا في المنتصف و بحطها
+
+114
+00:07:50,500 --> 00:07:55,520
+في نص المسافة .. في نص المسافة بين الشامعة و بين
+
+115
+00:07:55,520 --> 00:07:59,260
+ورقة التلقي تاعة الصورة اللي هتلق عليها الصورة
+
+116
+00:07:59,260 --> 00:08:03,300
+يعني هتبعد ورقة القصدير بال .. بين هول اللي موجود
+
+117
+00:08:03,300 --> 00:08:08,800
+فيها مسافة واحد قدم عن الشامعة و واحد قدم عن ورقة
+
+118
+00:08:08,800 --> 00:08:14,000
+التلقيالآن هيك اكملت ظروف التجربة ما عدا ظرف واحد
+
+119
+00:08:14,000 --> 00:08:18,300
+ضروري للغاية لازم أعمل الغرفة اللي بيجري فيها
+
+120
+00:08:18,300 --> 00:08:22,280
+التجربة أعملها معتمة للغاية يعني أسكر كل الستائر
+
+121
+00:08:22,280 --> 00:08:27,980
+يعني أغلق الستائر و أطفئ الأضواء حتى أتمكن من رؤية
+
+122
+00:08:27,980 --> 00:08:32,100
+الصورة حتى أتمكن من رؤية الصورةBut after doing all
+
+123
+00:08:32,100 --> 00:08:35,160
+these cases, I will find that on the acceptance
+
+124
+00:08:35,160 --> 00:08:39,240
+form, on the A4 paper, there started to appear a
+
+125
+00:08:39,240 --> 00:08:41,920
+picture that is a bit weird, why? Candle wax,
+
+126
+00:08:42,160 --> 00:08:44,960
+upside down picture, I'm not used to upside down,
+
+127
+00:08:45,340 --> 00:08:50,500
+to candle waxAs long as a picture is formed, it
+
+128
+00:08:50,500 --> 00:08:52,920
+means that the simplest way to photograph it, I
+
+129
+00:08:52,920 --> 00:08:57,120
+will call it the pinhole or the octopus, it is
+
+130
+00:08:57,120 --> 00:09:00,560
+considered an optical system, why? Because it
+
+131
+00:09:00,560 --> 00:09:01,200
+formed a picture Why? Because it formed a picture
+
+132
+00:09:01,200 --> 00:09:04,860
+A person might say, no, this is not a photography
+
+133
+00:09:04,860 --> 00:09:08,220
+tool, we say simply, leave the candle in its
+
+134
+00:09:08,220 --> 00:09:11,060
+place, or leave the receipt paper in its place,
+
+135
+00:09:11,540 --> 00:09:13,800
+and remove the receipt paper containing the
+
+136
+00:09:13,800 --> 00:09:15,800
+pinhole, we will find that the image of the candle
+
+137
+00:09:15,800 --> 00:09:18,880
+has disappearedIt means that the woman is the one
+
+138
+00:09:18,880 --> 00:09:25,400
+who made the image of the candle Now we want to
+
+139
+00:09:25,400 --> 00:09:31,120
+make a more advanced step in the .. I mean .. the
+
+140
+00:09:31,120 --> 00:09:33,950
+experienceWe want to move the paper of the
+
+141
+00:09:33,950 --> 00:09:36,530
+receiver towards the candle, that is, to make it
+
+142
+00:09:36,530 --> 00:09:38,570
+closer to the candle, we will find that the
+
+143
+00:09:38,570 --> 00:09:43,130
+picture is large, then we move it further, to make
+
+144
+00:09:43,130 --> 00:09:45,330
+it closer to the receipt paper, we will find that
+
+145
+00:09:45,330 --> 00:09:49,920
+the picture is smallWebsite of photography tools
+
+146
+00:09:49,920 --> 00:09:52,560
+makes the characteristics of the image change from
+
+147
+00:09:52,560 --> 00:09:56,840
+big to small. So when the pinhole I try it from
+
+148
+00:09:56,840 --> 00:09:59,320
+the candle, when I try it from the candle, the
+
+149
+00:09:59,320 --> 00:10:05,460
+image gets bigger. When I try it from the place of
+
+150
+00:10:05,460 --> 00:10:10,990
+the candle, the image gets smaller.حبنا نغير مش في
+
+151
+00:10:10,990 --> 00:10:14,150
+موقع ورقة القصدير اللي فيها ال pinhole، في ورقة
+
+152
+00:10:14,150 --> 00:10:18,830
+التلقى، لو بعتها، هتكبر الصورة، لو جربتها من ال
+
+153
+00:10:18,830 --> 00:10:23,150
+pinhole، هتصغر الصورةالمنطق في ذلك، المنطق في ذلك
+
+154
+00:10:23,150 --> 00:10:27,810
+أنه لو جربت ورقة التلقي، هتكون الصورة بالحجم اللي
+
+155
+00:10:27,810 --> 00:10:31,950
+أنا قاعد بأشر عليه لإن الأشعة لسه ما انتشرت كتير
+
+156
+00:10:31,950 --> 00:10:35,770
+فبالتالي هتكون مركزة في ال .. ال .. الحجم هذا، في
+
+157
+00:10:35,770 --> 00:10:39,190
+الحجم هذا وكل ما جربت أكتر من ال .. من ال pinhole،
+
+158
+00:10:39,190 --> 00:10:44,610
+هتصغر الصورة، هتصغر الصورة، إذا أبسط جهاز تصوير هو
+
+159
+00:10:44,610 --> 00:10:50,240
+ال pinhole، ال pinhole، بيقول make a pinholeنعمل
+
+160
+00:10:50,240 --> 00:10:54,380
+خرم إبرة near the center of a large sheet of
+
+161
+00:10:54,380 --> 00:10:58,040
+aluminum foil يعني بجيب ورق قصدير كبيرة شوية
+
+162
+00:10:58,040 --> 00:11:04,390
+بأثقبها في المنتصف, light a candleand extinguish
+
+163
+00:11:04,390 --> 00:11:16,450
+all other illumination in the room hold
+
+164
+00:11:16,450 --> 00:11:21,300
+a sheet of a plain white paperOr better يعني ممكن
+
+165
+00:11:21,300 --> 00:11:25,740
+احنا .. يعني نمسك ورقة بيضة اللي هي ورقة ال A4 أو
+
+166
+00:11:25,740 --> 00:11:29,040
+اذا .. افضل اذا عندنا ورق شمعي، في ورق شمعي يباع
+
+167
+00:11:29,040 --> 00:11:34,620
+احيانا فبالتالي ممكن استعمله، اذا مش موجود انا
+
+168
+00:11:34,620 --> 00:11:40,120
+بستعمل plain white paper اللي هي ورقة ال A4طبعا
+
+169
+00:11:40,120 --> 00:11:44,540
+الورقة ال A4 بده أحملها على بعد اتنين feet قدمين
+
+170
+00:11:44,540 --> 00:11:49,080
+from the candle من الشامعة طبعا ال pinhole place
+
+171
+00:11:49,080 --> 00:11:51,860
+the pinhole midway between the paper and the
+
+172
+00:11:51,860 --> 00:11:55,680
+candle بحطه في منتصف الطريق بين ال paper اللي
+
+173
+00:11:55,680 --> 00:11:59,560
+هتلقى عليها الصورة و بين الشامعة اللي هتمثل ليه ال
+
+174
+00:11:59,560 --> 00:12:02,320
+object اللي هتمثل ليه ال object
+
+175
+00:12:05,310 --> 00:12:09,130
+observe ..لاحظ ال inverted image of the candle
+
+176
+00:12:09,130 --> 00:12:12,710
+flame on the paper هنلاحظ صورة مجلوبة للها
+
+177
+00:12:12,710 --> 00:12:17,410
+بالشامعة للها بالشامعة on the paper moving the
+
+178
+00:12:17,410 --> 00:12:20,570
+pinhole closer to the candle while keeping the
+
+179
+00:12:20,570 --> 00:12:26,170
+paper stationary yields larger imageI moved the
+
+180
+00:12:26,170 --> 00:12:28,850
+pinhole closer to the candle, closer to the
+
+181
+00:12:28,850 --> 00:12:31,810
+candle, you will notice that the candle or the
+
+182
+00:12:31,810 --> 00:12:35,790
+picture of the candle grew because I changed the
+
+183
+00:12:35,790 --> 00:12:39,010
+location of the camera Of course, when I try from
+
+184
+00:12:39,010 --> 00:12:41,010
+the candle, when I try the pinhole from the
+
+185
+00:12:41,010 --> 00:12:44,770
+candle, the picture grows When I move the pinhole
+
+186
+00:12:44,770 --> 00:12:48,830
+from the candle, the picture shrinks, the picture
+
+187
+00:12:48,830 --> 00:12:53,370
+shrinks Okay, now we said that the journey is
+
+188
+00:12:53,370 --> 00:12:57,550
+lightIt starts from the object, it starts from the
+
+189
+00:12:57,550 --> 00:13:02,010
+object And
+
+190
+00:13:02,010 --> 00:13:04,970
+bodies, we want to talk about the body, which is
+
+191
+00:13:04,970 --> 00:13:07,410
+the beginning of the journey of light The bodies
+
+192
+00:13:07,410 --> 00:13:11,010
+in our whole life are divided into two types
+
+193
+00:13:11,010 --> 00:13:14,890
+Either a body that is narrow in itself, object,
+
+194
+00:13:15,310 --> 00:13:19,900
+its own light, like a candleزي لها بالشمعة هو مضيق
+
+195
+00:13:19,900 --> 00:13:23,820
+بذاته زي النار اللي بنوقدها زي المصباح الكهربائي
+
+196
+00:13:23,820 --> 00:13:28,540
+زي الشمس بتاعتنا أو أي نجم آخر مضيق بذاته إذا
+
+197
+00:13:28,540 --> 00:13:34,180
+الأجسام أول شيء إما بتكون مضاقة بذاتها أو مضيقة
+
+198
+00:13:34,180 --> 00:13:39,420
+بذاتها عفوا أو مضاقة وعاكسة مضاقة بس ضروري تكون
+
+199
+00:13:39,420 --> 00:13:43,980
+عاكسة مضاقة يعني هو ليس جسم مضيق بذاته يعني زي جسم
+
+200
+00:13:43,980 --> 00:13:50,110
+الإنسان زي جسم الإنسان لو اتصورناA football player
+
+201
+00:13:50,110 --> 00:13:53,770
+stands in the middle of the field and the crowd is
+
+202
+00:13:53,770 --> 00:14:02,380
+all around him, all around him from all sidesCan
+
+203
+00:14:02,380 --> 00:14:06,840
+the audience .. all the audience see the player at
+
+204
+00:14:06,840 --> 00:14:10,680
+the same moment? The answer is yes. Why? Because
+
+205
+00:14:10,680 --> 00:14:14,040
+the light of the sun, the light of the day fell on
+
+206
+00:14:14,040 --> 00:14:16,940
+the body of the player, then it reflected in all
+
+207
+00:14:16,940 --> 00:14:21,350
+directions, therefore .. therefore ..As long as we
+
+208
+00:14:21,350 --> 00:14:24,290
+saw at the same moment that he reflected the rays
+
+209
+00:14:24,290 --> 00:14:28,010
+in all directions If he couldn't reflect the rays
+
+210
+00:14:28,010 --> 00:14:32,330
+in all directions, sometimes we say that he
+
+211
+00:14:32,330 --> 00:14:35,210
+reflected them in one direction, and sometimes
+
+212
+00:14:35,210 --> 00:14:38,010
+this direction, the audience sitting in this
+
+213
+00:14:38,010 --> 00:14:40,770
+direction is the only one who can see the player
+
+214
+00:14:40,770 --> 00:14:44,880
+Another example .. another exampleIf a person or
+
+215
+00:14:44,880 --> 00:14:47,220
+student is sitting in the middle of the class and
+
+216
+00:14:47,220 --> 00:14:51,900
+surrounded by his classmates, all of them can see
+
+217
+00:14:51,900 --> 00:14:55,560
+him at the same moment because of the light of the
+
+218
+00:14:55,560 --> 00:14:58,180
+room or the light of the day falling on him, then
+
+219
+00:14:58,180 --> 00:15:03,160
+his body reflects him in all directions If we
+
+220
+00:15:03,160 --> 00:15:05,420
+imagine that this student does not reflect any
+
+221
+00:15:05,420 --> 00:15:08,880
+kind of light, then he will not be able to see
+
+222
+00:15:08,880 --> 00:15:12,510
+with his eyesساعتها هيختفي تماما. إذا الجسم اللي
+
+223
+00:15:12,510 --> 00:15:18,330
+مش مضيق بذاته .. الجسم اللي مش مضيق بذاته ي ..
+
+224
+00:15:18,330 --> 00:15:22,870
+لازم يكون مضاء و عاكس حتى يتم ..or حتى نتمكن من
+
+225
+00:15:22,870 --> 00:15:27,370
+رؤيته. هذا بالنسبة لأ الأجسام، إما مضيقة بذاتها أو
+
+226
+00:15:27,370 --> 00:15:31,390
+مضاءة، بس إذا مضاءة، لازم تكون عاكزة مثال آخر و
+
+227
+00:15:31,390 --> 00:15:35,750
+واضح في حياتنا العملية، إنه القمر، القمر لا يضيق
+
+228
+00:15:35,750 --> 00:15:42,950
+بذاته، ولكن يعكس إضاءة الشمس على هذا القمر، ثم
+
+229
+00:15:42,950 --> 00:15:46,690
+يعكسها باتجاه الأرض، فبالتالي احنا بنشوفه، هو طبعا
+
+230
+00:15:46,690 --> 00:15:53,300
+يعكسها في جميع الاتجاهات، ولكنWe are looking at
+
+231
+00:15:53,300 --> 00:15:56,480
+the moon because it reflects part of its light
+
+232
+00:15:56,480 --> 00:15:59,600
+towards the surface of the earth Towards the
+
+233
+00:15:59,600 --> 00:16:04,240
+surface of the earth Now the object is made up of
+
+234
+00:16:04,240 --> 00:16:08,340
+parts And these parts can be divided into smaller
+
+235
+00:16:08,340 --> 00:16:12,120
+parts And smaller parts can be divided into
+
+236
+00:16:12,120 --> 00:16:15,520
+smaller and smaller parts Until we reach the
+
+237
+00:16:15,520 --> 00:16:18,160
+smallest part that we call the blind spots. We
+
+238
+00:16:18,160 --> 00:16:23,350
+agreedانه الجسم اما مضيق بذاته وEither upside down
+
+239
+00:16:23,350 --> 00:16:26,170
+or upside down. We will consider that the body
+
+240
+00:16:26,170 --> 00:16:29,210
+will emit light from it, whether it is self or
+
+241
+00:16:29,210 --> 00:16:31,470
+reversed from another body. The important thing is
+
+242
+00:16:31,470 --> 00:16:34,030
+that it will emit light from it. Okay, will the
+
+243
+00:16:34,030 --> 00:16:36,970
+light come from the part that I point to, for
+
+244
+00:16:36,970 --> 00:16:39,410
+example, or from the part that I point to, or from
+
+245
+00:16:39,410 --> 00:16:42,290
+the part that I point to? No, in fact, the light
+
+246
+00:16:42,290 --> 00:16:45,790
+will come from all parts of the body. For example,
+
+247
+00:16:45,870 --> 00:16:48,970
+I see the body as a whole when we look at a candle
+
+248
+00:16:49,460 --> 00:16:52,360
+When we look at a candle, we have to consider our
+
+249
+00:16:52,360 --> 00:16:54,440
+eyes as the optical system, instead of the pinhole
+
+250
+00:16:54,440 --> 00:16:58,480
+We see the candle as a whole .. as a whole It's
+
+251
+00:16:58,480 --> 00:17:00,920
+true that we see the flame more than the body of
+
+252
+00:17:00,920 --> 00:17:03,480
+the candle, but we see the candle as a whole with
+
+253
+00:17:03,480 --> 00:17:06,780
+the flame around it So, as long as we see the
+
+254
+00:17:06,780 --> 00:17:09,420
+candle as a whole, it means that the flame is
+
+255
+00:17:09,420 --> 00:17:11,840
+narrowed by itself and the body of the candle ..
+
+256
+00:17:11,840 --> 00:17:14,060
+the body of the candle is illuminated by another
+
+257
+00:17:14,060 --> 00:17:16,200
+light, let's say the room light or the candle's
+
+258
+00:17:16,200 --> 00:17:18,540
+flame, and it is reflected towards our eyes
+
+259
+00:17:18,940 --> 00:17:23,360
+فبالتالي احنا بنشوف الشمعة متكاملةSo, when we
+
+260
+00:17:23,360 --> 00:17:26,760
+divide this body into parts, and we divide the
+
+261
+00:17:26,760 --> 00:17:29,500
+parts into parts smaller than them, and the parts
+
+262
+00:17:29,500 --> 00:17:32,240
+smaller than them, then smaller, then smaller, we
+
+263
+00:17:32,240 --> 00:17:34,680
+will reach that the body, any body in the world,
+
+264
+00:17:34,900 --> 00:17:38,300
+candle or non-candle, is made up of bodies or
+
+265
+00:17:38,300 --> 00:17:42,320
+things that intersect in the small, we call them
+
+266
+00:17:42,320 --> 00:17:46,580
+the point sources of light Point source of light,
+
+267
+00:17:46,720 --> 00:17:51,290
+point source of light, we considerالجسم عبارة عن
+
+268
+00:17:51,290 --> 00:17:55,890
+مجموعة لا متناهية عددها لا نهائي من النقاط الصغيرة
+
+269
+00:17:55,890 --> 00:17:59,910
+المتماسكة مع بعضها البعض و اللي بتكونلي في مجموعها
+
+270
+00:17:59,910 --> 00:18:04,050
+الجسم كل نقطة تصدر دوقها الخاص سواء دوقها الذاتي
+
+271
+00:18:04,050 --> 00:18:09,330
+أو دوقها المعكوس، اذا كل جسم مكون من عدد لا نهائي
+
+272
+00:18:09,330 --> 00:18:13,790
+من النقاط الصغيرة اللي بنسميها ال point source of
+
+273
+00:18:13,790 --> 00:18:16,970
+light ال point source of light
+
+274
+00:18:21,780 --> 00:18:26,000
+An object may be regarded as a collection of
+
+275
+00:18:26,000 --> 00:18:32,580
+points Geometric
+
+276
+00:18:32,580 --> 00:18:37,080
+optics treats every point of an object as a point
+
+277
+00:18:37,080 --> 00:18:38,160
+source of light
+
+278
+00:18:49,760 --> 00:18:53,700
+An object has an infinite number of point sources,
+
+279
+00:18:54,100 --> 00:18:58,520
+any object مهما صغر إذا شفنا عدد النقاط المضيقة
+
+280
+00:18:58,520 --> 00:19:02,000
+فيه المكونة إله هتكون عددها لانهائي infinite
+
+281
+00:19:02,000 --> 00:19:06,200
+number and each source point يعني لو جينا نمسك
+
+282
+00:19:06,200 --> 00:19:10,640
+نقطة معينة منها هنلاقيها infinitesimally small
+
+283
+00:19:10,640 --> 00:19:15,360
+يعني صغيرة متناهية في الصغر يعني أصغر شيء ممكن
+
+284
+00:19:15,360 --> 00:19:21,780
+يعني نتصورهطبعا هذا .. ممكن يقول كيف ممكن نجسم
+
+285
+00:19:21,780 --> 00:19:25,520
+الجسم حتى نصل لنقطة؟ حقيقة نقطة متناهية في الصغر،
+
+286
+00:19:25,520 --> 00:19:30,140
+يعني جد ما نجسم الجسم لأجسام، بيضل النقطة أصغر من
+
+287
+00:19:30,140 --> 00:19:33,000
+الجسم، بس هذا شيء افتراضي في علم ال geometric
+
+288
+00:19:33,000 --> 00:19:37,860
+optics، أنه المصدر النقطي للضوء، أن الضوء عبارة عن
+
+289
+00:19:37,860 --> 00:19:43,280
+الصدر طبعا من الأجسام، الأجسام عبارة عن ..a group
+
+290
+00:19:43,280 --> 00:19:47,260
+of narrow points that are attached side by side
+
+291
+00:19:47,260 --> 00:19:49,700
+and that are attached and that give me a group of
+
+292
+00:19:49,700 --> 00:19:53,740
+objects Why did we have to talk about the narrow
+
+293
+00:19:53,740 --> 00:19:58,180
+points? Because I will study one point or two
+
+294
+00:19:58,180 --> 00:20:02,940
+points and I will get tired of the whole body? No,
+
+295
+00:20:03,100 --> 00:20:06,610
+a person cannotNo matter how old he is, no matter
+
+296
+00:20:06,610 --> 00:20:11,350
+how intelligent he is, he studies all the light
+
+297
+00:20:11,350 --> 00:20:14,030
+coming out of all the points of the object because
+
+298
+00:20:14,030 --> 00:20:17,270
+his whole life will not be enough to study the
+
+299
+00:20:17,270 --> 00:20:20,230
+infinite number of light rays coming out of this
+
+300
+00:20:20,230 --> 00:20:23,670
+object So when I consider the object made up of
+
+301
+00:20:23,670 --> 00:20:27,390
+points and I focus on my study on the journey of
+
+302
+00:20:27,390 --> 00:20:31,470
+light from the object to the imageon one point or
+
+303
+00:20:31,470 --> 00:20:34,890
+two points, it makes things much easier, and
+
+304
+00:20:34,890 --> 00:20:37,870
+sometimes studying the point, the journey of this
+
+305
+00:20:37,870 --> 00:20:41,230
+point, or the rays coming from this point towards
+
+306
+00:20:41,230 --> 00:20:44,490
+the formation of the image, when I study them,
+
+307
+00:20:44,870 --> 00:20:48,030
+they block it, or they do it on purpose, or they
+
+308
+00:20:48,030 --> 00:20:50,210
+avoid it on purpose, instead of studying each
+
+309
+00:20:50,210 --> 00:20:52,530
+point of the object, instead of studying each
+
+310
+00:20:52,530 --> 00:20:57,650
+point of the object. NowLight radiates in all
+
+311
+00:20:57,650 --> 00:21:02,250
+directions from each point of an on an object Of
+
+312
+00:21:02,250 --> 00:21:05,510
+course, the object consists of an infinite number
+
+313
+00:21:05,510 --> 00:21:08,410
+of points We want to take an example, a single
+
+314
+00:21:08,410 --> 00:21:11,270
+point, which is the point here in the example that
+
+315
+00:21:11,270 --> 00:21:15,690
+we have presented The point is the tip of a
+
+316
+00:21:15,690 --> 00:21:20,090
+candle, which emits light, but where does the
+
+317
+00:21:20,090 --> 00:21:23,250
+light go? In which direction?حقيقة الضوء يشع في
+
+318
+00:21:23,250 --> 00:21:27,730
+جميع الاتجاهات، يشع باتجاه ال penhole و باتجاه
+
+319
+00:21:27,730 --> 00:21:30,870
+الورقة، يعني جزء من الإشعاعات الضوئية هيصطدم في
+
+320
+00:21:30,870 --> 00:21:35,290
+ورقة القصدير، وجزء حيطب للأعلى وجزء للأسفل وجزء
+
+321
+00:21:35,290 --> 00:21:39,650
+للشمال وجزء للشمال وللأعلى ومائلا، اذا light
+
+322
+00:21:39,650 --> 00:21:43,830
+radiates in all directions from each object point
+
+323
+00:21:43,960 --> 00:21:48,160
+طبعا احنا ضربنا مثال على نقطة ايه و هذا ينطبق على
+
+324
+00:21:48,160 --> 00:21:52,520
+جميع النقاط كل نقطة من النقاط بتاعة ال object سواء
+
+325
+00:21:52,520 --> 00:21:56,780
+مضيقة بذاتها او مضاءة او عاكسة هينتشر الضوء منها
+
+326
+00:21:56,780 --> 00:22:06,540
+في جميع الاتجاهات، في جميع الاتجاهات Stars
+
+327
+00:22:06,540 --> 00:22:10,680
+behave as point sources of light طبعا النجوم اللي
+
+328
+00:22:10,680 --> 00:22:16,430
+شاهقة البعد عننااحنا بنشوفها كنقط .. كنقاط مضيقة
+
+329
+00:22:16,430 --> 00:22:20,950
+في السماء ليلا وعشان هيك النجوم تتصرف وكأنها نقاط
+
+330
+00:22:20,950 --> 00:22:25,800
+مضيقةThe point source is mainly a conceptual tool
+
+331
+00:22:25,800 --> 00:22:30,080
+يعني ال point source of light المصدر النقطي للضوء
+
+332
+00:22:30,080 --> 00:22:33,700
+هو عبارة عن شيء افتراضي لأنه جد ما جسمنا الجسم
+
+333
+00:22:33,700 --> 00:22:37,520
+منها مش هنصل إنه نجسمه لأجزاء صغيرة متناهية في
+
+334
+00:22:37,520 --> 00:22:42,320
+الصغر نطلق عليها اللي هو النقاط المضيقة حقيقة
+
+335
+00:22:42,320 --> 00:22:47,620
+وإنما هي شيء افتراضي هيساعدنا على فهم رحلة الضوء
+
+336
+00:22:47,620 --> 00:22:52,560
+وعلىدراسة علم الـ Geometric Optics طبعا it is
+
+337
+00:22:52,560 --> 00:22:56,900
+easier .. it is usually easier .. أسهل لنا to
+
+338
+00:22:56,900 --> 00:23:01,580
+understand an optical system by concentrating on
+
+339
+00:23:01,580 --> 00:23:05,080
+light radiating from single object point or few
+
+340
+00:23:05,080 --> 00:23:09,370
+pointsيعني بمعنى آخر لما أفترض أنه الجسم مكوّن من
+
+341
+00:23:09,370 --> 00:23:13,670
+نقاط مضيقة متناهية في الصغر و أركز في دراستي على
+
+342
+00:23:13,670 --> 00:23:17,870
+نقطة أو نقطتين أو few points، قليل من النقاط،
+
+343
+00:23:17,870 --> 00:23:23,350
+بيكون أسهل بكثير من أني أدرس الضوء المنتشر من جميع
+
+344
+00:23:23,350 --> 00:23:27,100
+مناطق ال object و من جميع نقاط ال objectلأن هذا
+
+345
+00:23:27,100 --> 00:23:31,760
+هياخد مني وقت وجهد كبير جدا جدا لا يمكن لشخص أو
+
+346
+00:23:31,760 --> 00:23:36,800
+حتى لمجموعة كبيرة من الأشخاص تانفيف هذا إشي
+
+347
+00:23:36,800 --> 00:23:42,240
+فبالتالي هنتوقف عند هذه النقطة و هنستكمل ان شاء
+
+348
+00:23:42,240 --> 00:23:45,560
+الله تعالى في المحاضرة القادمة و يعطيكم العمل
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/4bzN82L3BD0_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/4bzN82L3BD0_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..1eb7fafc249b348e3d6413c700ae74f2d44ff351
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/4bzN82L3BD0_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 1793, "start": 1.43, "end": 17.93, "text": "بسم الله الرحمن الرحيم عنا مسألة ع موضوع ال virtual object ع موضوع ال virtual object عندي عدسة قوتها plus 5 و نص diopter يقف أمامها على الشمال على بعد عشرين سانتي object first object ريال object", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 6225, 8315, 47524, 10721, 37977, 6225, 3714, 2407, 11242, 45367, 2423, 6374, 2657, 6225, 3714, 2407, 11242, 45367, 2423, 6374, 2657, 18871, 16254, 6225, 3215, 3794, 3660, 12174, 35473, 11296, 1804, 1025, 4032, 8717, 9381, 1026, 404, 391, 7251, 4587, 5172, 5551, 2304, 10943, 11296, 15844, 25124, 2304, 6027, 15844, 39182, 6225, 46309, 9957, 8608, 7649, 31371, 2657, 700, 2657, 12602, 1829, 6027, 2657], "avg_logprob": -0.21621621460527987, "compression_ratio": 1.6440677966101696, "no_speech_prob": 6.198883056640625e-06, "words": [{"start": 1.43, "end": 1.69, "word": "بسم", "probability": 0.583984375}, {"start": 1.69, "end": 1.83, "word": " الله", "probability": 0.92333984375}, {"start": 1.83, "end": 2.19, "word": " الرحمن", "probability": 0.91162109375}, {"start": 2.19, "end": 2.71, "word": " الرحيم", "probability": 0.98779296875}, {"start": 2.71, "end": 3.63, "word": " عنا", "probability": 0.5859375}, {"start": 3.63, "end": 4.17, "word": " مسألة", "probability": 0.9210611979166666}, {"start": 4.17, "end": 4.31, "word": " ع", "probability": 0.5166015625}, {"start": 4.31, "end": 4.71, "word": " موضوع", "probability": 0.98388671875}, {"start": 4.71, "end": 4.87, "word": " ال", "probability": 0.99267578125}, {"start": 4.87, "end": 5.27, "word": " virtual", "probability": 0.70654296875}, {"start": 5.27, "end": 6.13, "word": " object", "probability": 0.9697265625}, {"start": 6.13, "end": 6.43, "word": " ع", "probability": 0.525390625}, {"start": 6.43, "end": 7.01, "word": " موضوع", "probability": 0.8685302734375}, {"start": 7.01, "end": 7.15, "word": " ال", "probability": 0.98876953125}, {"start": 7.15, "end": 7.47, "word": " virtual", "probability": 0.9375}, {"start": 7.47, "end": 8.07, "word": " object", "probability": 0.9931640625}, {"start": 8.07, "end": 8.39, "word": " عندي", "probability": 0.70849609375}, {"start": 8.39, "end": 9.63, "word": " عدسة", "probability": 0.97509765625}, {"start": 9.63, "end": 10.43, "word": " قوتها", "probability": 0.9816080729166666}, {"start": 10.43, "end": 10.71, "word": " plus", "probability": 0.9052734375}, {"start": 10.71, "end": 10.99, "word": " 5", "probability": 0.64453125}, {"start": 10.99, "end": 11.27, "word": " و", "probability": 0.56201171875}, {"start": 11.27, "end": 11.51, "word": " نص", "probability": 0.9423828125}, {"start": 11.51, "end": 12.13, "word": " diopter", "probability": 0.85498046875}, {"start": 12.13, "end": 13.07, "word": " يقف", "probability": 0.91357421875}, {"start": 13.07, "end": 13.51, "word": " أمامها", "probability": 0.9339599609375}, {"start": 13.51, "end": 13.65, "word": " على", "probability": 0.5009765625}, {"start": 13.65, "end": 14.07, "word": " الشمال", "probability": 0.9034830729166666}, {"start": 14.07, "end": 14.23, "word": " على", "probability": 0.65625}, {"start": 14.23, "end": 14.49, "word": " بعد", "probability": 0.63232421875}, {"start": 14.49, "end": 14.99, "word": " عشرين", "probability": 0.8401692708333334}, {"start": 14.99, "end": 15.39, "word": " سانتي", "probability": 0.612548828125}, {"start": 15.39, "end": 15.99, "word": " object", "probability": 0.96923828125}, {"start": 15.99, "end": 16.75, "word": " first", "probability": 0.2474365234375}, {"start": 16.75, "end": 17.19, "word": " object", "probability": 0.984375}, {"start": 17.19, "end": 17.53, "word": " ريال", "probability": 0.7584635416666666}, {"start": 17.53, "end": 17.93, "word": " object", "probability": 0.9462890625}], "temperature": 1.0}, {"id": 2, "seek": 3850, "start": 18.44, "end": 38.5, "text": "then there is a meter with a lens with a power of plus one diopter which requires the final image and the total transfer magnification we go back to our rule, dealing with each lens one by one dealing with each lens one by one we will separate this and", "tokens": [19096, 456, 307, 257, 9255, 365, 257, 6765, 365, 257, 1347, 295, 1804, 472, 1026, 404, 391, 597, 7029, 264, 2572, 3256, 293, 264, 3217, 5003, 4944, 3774, 321, 352, 646, 281, 527, 4978, 11, 6260, 365, 1184, 6765, 472, 538, 472, 6260, 365, 1184, 6765, 472, 538, 472, 321, 486, 4994, 341, 293], "avg_logprob": -0.7289773009040139, "compression_ratio": 1.7027027027027026, "no_speech_prob": 1.6868114471435547e-05, "words": [{"start": 18.44, "end": 18.9, "word": "then", "probability": 0.0858154296875}, {"start": 18.9, "end": 18.9, "word": " there", "probability": 0.1185302734375}, {"start": 18.9, "end": 18.9, "word": " is", "probability": 0.67578125}, {"start": 18.9, "end": 19.66, "word": " a", "probability": 0.51220703125}, {"start": 19.66, "end": 19.98, "word": " meter", "probability": 0.6630859375}, {"start": 19.98, "end": 20.22, "word": " with", "probability": 0.314697265625}, {"start": 20.22, "end": 20.3, "word": " a", "probability": 0.453369140625}, {"start": 20.3, "end": 20.58, "word": " lens", "probability": 0.284912109375}, {"start": 20.58, "end": 21.36, "word": " with", "probability": 0.19287109375}, {"start": 21.36, "end": 21.64, "word": " a", "probability": 0.458251953125}, {"start": 21.64, "end": 21.76, "word": " power", "probability": 0.189208984375}, {"start": 21.76, "end": 21.92, "word": " of", "probability": 0.75341796875}, {"start": 21.92, "end": 22.26, "word": " plus", "probability": 0.2005615234375}, {"start": 22.26, "end": 22.58, "word": " one", "probability": 0.56884765625}, {"start": 22.58, "end": 23.2, "word": " diopter", "probability": 0.68310546875}, {"start": 23.2, "end": 23.84, "word": " which", "probability": 0.155029296875}, {"start": 23.84, "end": 24.22, "word": " requires", "probability": 0.353515625}, {"start": 24.22, "end": 24.42, "word": " the", "probability": 0.5595703125}, {"start": 24.42, "end": 24.7, "word": " final", "probability": 0.81689453125}, {"start": 24.7, "end": 25.24, "word": " image", "probability": 0.919921875}, {"start": 25.24, "end": 25.6, "word": " and", "probability": 0.5078125}, {"start": 25.6, "end": 25.7, "word": " the", "probability": 0.471435546875}, {"start": 25.7, "end": 25.98, "word": " total", "probability": 0.85498046875}, {"start": 25.98, "end": 26.42, "word": " transfer", "probability": 0.437744140625}, {"start": 26.42, "end": 27.38, "word": " magnification", "probability": 0.79541015625}, {"start": 27.38, "end": 28.02, "word": " we", "probability": 0.216064453125}, {"start": 28.02, "end": 28.16, "word": " go", "probability": 0.442138671875}, {"start": 28.16, "end": 28.32, "word": " back", "probability": 0.85546875}, {"start": 28.32, "end": 28.42, "word": " to", "probability": 0.95068359375}, {"start": 28.42, "end": 28.54, "word": " our", "probability": 0.6904296875}, {"start": 28.54, "end": 28.86, "word": " rule,", "probability": 0.23779296875}, {"start": 29.46, "end": 29.86, "word": " dealing", "probability": 0.2142333984375}, {"start": 29.86, "end": 30.1, "word": " with", "probability": 0.88916015625}, {"start": 30.1, "end": 30.44, "word": " each", "probability": 0.697265625}, {"start": 30.44, "end": 30.86, "word": " lens", "probability": 0.775390625}, {"start": 30.86, "end": 31.18, "word": " one", "probability": 0.2314453125}, {"start": 31.18, "end": 31.18, "word": " by", "probability": 0.82275390625}, {"start": 31.18, "end": 32.48, "word": " one", "probability": 0.93115234375}, {"start": 32.48, "end": 33.02, "word": " dealing", "probability": 0.19140625}, {"start": 33.02, "end": 33.36, "word": " with", "probability": 0.9013671875}, {"start": 33.36, "end": 33.66, "word": " each", "probability": 0.95703125}, {"start": 33.66, "end": 34.06, "word": " lens", "probability": 0.921875}, {"start": 34.06, "end": 34.42, "word": " one", "probability": 0.88916015625}, {"start": 34.42, "end": 34.46, "word": " by", "probability": 0.97119140625}, {"start": 34.46, "end": 35.86, "word": " one", "probability": 0.9306640625}, {"start": 35.86, "end": 36.12, "word": " we", "probability": 0.2203369140625}, {"start": 36.12, "end": 36.28, "word": " will", "probability": 0.467041015625}, {"start": 36.28, "end": 36.66, "word": " separate", "probability": 0.59619140625}, {"start": 36.66, "end": 36.74, "word": " this", "probability": 0.58837890625}, {"start": 36.74, "end": 38.5, "word": " and", "probability": 0.348388671875}], "temperature": 1.0}, {"id": 3, "seek": 6609, "start": 43.2, "end": 66.1, "text": "We will deal with each lens one by one, we say as follows Deal with the first lens, a body 20 cm away from it, we say U is equal to minus N by O", "tokens": [4360, 486, 2028, 365, 1184, 6765, 472, 538, 472, 11, 321, 584, 382, 10002, 27227, 365, 264, 700, 6765, 11, 257, 1772, 945, 14668, 1314, 490, 309, 11, 321, 584, 624, 307, 2681, 281, 3175, 426, 538, 422], "avg_logprob": -0.49038460315802157, "compression_ratio": 1.2857142857142858, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 43.2, "end": 43.44, "word": "We", "probability": 0.238525390625}, {"start": 43.44, "end": 43.48, "word": " will", "probability": 0.53369140625}, {"start": 43.48, "end": 43.84, "word": " deal", "probability": 0.48095703125}, {"start": 43.84, "end": 44.06, "word": " with", "probability": 0.90234375}, {"start": 44.06, "end": 44.36, "word": " each", "probability": 0.73779296875}, {"start": 44.36, "end": 44.74, "word": " lens", "probability": 0.5517578125}, {"start": 44.74, "end": 45.06, "word": " one", "probability": 0.2259521484375}, {"start": 45.06, "end": 45.06, "word": " by", "probability": 0.9345703125}, {"start": 45.06, "end": 47.18, "word": " one,", "probability": 0.93408203125}, {"start": 47.2, "end": 47.32, "word": " we", "probability": 0.339599609375}, {"start": 47.32, "end": 47.6, "word": " say", "probability": 0.64892578125}, {"start": 47.6, "end": 47.82, "word": " as", "probability": 0.8330078125}, {"start": 47.82, "end": 48.2, "word": " follows", "probability": 0.68017578125}, {"start": 48.2, "end": 56.36, "word": " Deal", "probability": 0.2218017578125}, {"start": 56.36, "end": 56.62, "word": " with", "probability": 0.89794921875}, {"start": 56.62, "end": 57.18, "word": " the", "probability": 0.8740234375}, {"start": 57.18, "end": 57.42, "word": " first", "probability": 0.857421875}, {"start": 57.42, "end": 57.42, "word": " lens,", "probability": 0.892578125}, {"start": 57.56, "end": 57.64, "word": " a", "probability": 0.43017578125}, {"start": 57.64, "end": 57.8, "word": " body", "probability": 0.8115234375}, {"start": 57.8, "end": 58.26, "word": " 20", "probability": 0.31689453125}, {"start": 58.26, "end": 58.26, "word": " cm", "probability": 0.4873046875}, {"start": 58.26, "end": 58.26, "word": " away", "probability": 0.8193359375}, {"start": 58.26, "end": 58.26, "word": " from", "probability": 0.7822265625}, {"start": 58.26, "end": 61.4, "word": " it,", "probability": 0.90185546875}, {"start": 61.76, "end": 61.9, "word": " we", "probability": 0.89892578125}, {"start": 61.9, "end": 62.1, "word": " say", "probability": 0.939453125}, {"start": 62.1, "end": 62.5, "word": " U", "probability": 0.459228515625}, {"start": 62.5, "end": 63.56, "word": " is", "probability": 0.37744140625}, {"start": 63.56, "end": 64.06, "word": " equal", "probability": 0.8818359375}, {"start": 64.06, "end": 64.62, "word": " to", "probability": 0.69482421875}, {"start": 64.62, "end": 65.08, "word": " minus", "probability": 0.42919921875}, {"start": 65.08, "end": 65.5, "word": " N", "probability": 0.79345703125}, {"start": 65.5, "end": 65.76, "word": " by", "probability": 0.360107421875}, {"start": 65.76, "end": 66.1, "word": " O", "probability": 0.96728515625}], "temperature": 1.0}, {"id": 4, "seek": 9461, "start": 68.85, "end": 94.61, "text": "ليش ناقص لإن الضوء divergent ويساوي ناقص واحد على العشرين سانتي اللي هي مسافة ال object اللي هي اتنين من عشرة متر ويساوي ناقص خمسة والمتر في المقام بيطلع بيصير متر و ناقص واحد يعني ديوتر إذا ال U ال U ناقص خمسة ديوتر", "tokens": [20292, 8592, 8717, 995, 4587, 9381, 5296, 28814, 1863, 2423, 11242, 2407, 38207, 18558, 6930, 4032, 1829, 3794, 995, 45865, 8717, 995, 4587, 9381, 36764, 24401, 15844, 18863, 46309, 9957, 8608, 7649, 31371, 13672, 1829, 39896, 47524, 31845, 3660, 2423, 2657, 13672, 1829, 39896, 1975, 2655, 1863, 9957, 9154, 6225, 8592, 25720, 44650, 2288, 4032, 1829, 3794, 995, 45865, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660, 4032, 45340, 2655, 2288, 8978, 9673, 4587, 10943, 4724, 1829, 9566, 1211, 3615, 4724, 1829, 9381, 13546, 44650, 2288, 4032, 8717, 995, 4587, 9381, 36764, 24401, 37495, 22653, 11778, 1829, 35473, 2288, 11933, 15730, 2423, 624, 2423, 624, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660, 11778, 1829, 35473, 2288], "avg_logprob": -0.19796080344309241, "compression_ratio": 1.927461139896373, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 68.85, "end": 69.21, "word": "ليش", "probability": 0.4728851318359375}, {"start": 69.21, "end": 69.59, "word": " ناقص", "probability": 0.8658447265625}, {"start": 69.59, "end": 69.81, "word": " لإن", "probability": 0.64404296875}, {"start": 69.81, "end": 70.13, "word": " الضوء", "probability": 0.81317138671875}, {"start": 70.13, "end": 70.87, "word": " divergent", "probability": 0.7025146484375}, {"start": 70.87, "end": 71.55, "word": " ويساوي", "probability": 0.81923828125}, {"start": 71.55, "end": 72.71, "word": " ناقص", "probability": 0.882568359375}, {"start": 72.71, "end": 73.29, "word": " واحد", "probability": 0.962646484375}, {"start": 73.29, "end": 73.63, "word": " على", "probability": 0.669921875}, {"start": 73.63, "end": 74.91, "word": " العشرين", "probability": 0.8421223958333334}, {"start": 74.91, "end": 75.39, "word": " سانتي", "probability": 0.6171061197916666}, {"start": 75.39, "end": 75.53, "word": " اللي", "probability": 0.82861328125}, {"start": 75.53, "end": 75.61, "word": " هي", "probability": 0.63623046875}, {"start": 75.61, "end": 76.01, "word": " مسافة", "probability": 0.9915364583333334}, {"start": 76.01, "end": 76.17, "word": " ال", "probability": 0.97998046875}, {"start": 76.17, "end": 76.55, "word": " object", "probability": 0.95068359375}, {"start": 76.55, "end": 77.31, "word": " اللي", "probability": 0.962646484375}, {"start": 77.31, "end": 77.47, "word": " هي", "probability": 0.89794921875}, {"start": 77.47, "end": 77.81, "word": " اتنين", "probability": 0.94189453125}, {"start": 77.81, "end": 77.93, "word": " من", "probability": 0.98193359375}, {"start": 77.93, "end": 78.35, "word": " عشرة", "probability": 0.9013671875}, {"start": 78.35, "end": 78.83, "word": " متر", "probability": 0.8974609375}, {"start": 78.83, "end": 82.05, "word": " ويساوي", "probability": 0.92939453125}, {"start": 82.05, "end": 84.19, "word": " ناقص", "probability": 0.9859619140625}, {"start": 84.19, "end": 84.83, "word": " خمسة", "probability": 0.9696044921875}, {"start": 84.83, "end": 85.69, "word": " والمتر", "probability": 0.76812744140625}, {"start": 85.69, "end": 85.81, "word": " في", "probability": 0.9521484375}, {"start": 85.81, "end": 86.35, "word": " المقام", "probability": 0.9864908854166666}, {"start": 86.35, "end": 86.93, "word": " بيطلع", "probability": 0.9705078125}, {"start": 86.93, "end": 87.27, "word": " بيصير", "probability": 0.857177734375}, {"start": 87.27, "end": 87.61, "word": " متر", "probability": 0.919189453125}, {"start": 87.61, "end": 87.65, "word": " و", "probability": 0.40283203125}, {"start": 87.65, "end": 88.09, "word": " ناقص", "probability": 0.8104248046875}, {"start": 88.09, "end": 88.49, "word": " واحد", "probability": 0.986328125}, {"start": 88.49, "end": 88.91, "word": " يعني", "probability": 0.854248046875}, {"start": 88.91, "end": 89.85, "word": " ديوتر", "probability": 0.763427734375}, {"start": 89.85, "end": 90.23, "word": " إذا", "probability": 0.534423828125}, {"start": 90.23, "end": 90.47, "word": " ال", "probability": 0.79150390625}, {"start": 90.47, "end": 90.73, "word": " U", "probability": 0.435546875}, {"start": 90.73, "end": 92.27, "word": " ال", "probability": 0.587890625}, {"start": 92.27, "end": 92.59, "word": " U", "probability": 0.95458984375}, {"start": 92.59, "end": 93.39, "word": " ناقص", "probability": 0.98974609375}, {"start": 93.39, "end": 94.01, "word": " خمسة", "probability": 0.978271484375}, {"start": 94.01, "end": 94.61, "word": " ديوتر", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 5, "seek": 12535, "start": 97.01, "end": 125.35, "text": " minus 5 diopter put it on the front surface of the lens the light reached a wavelength of 5 diopter wavelength of 5 diopter the power of the lens is 5.5 how much power will remain with the lens to collect this light we will go to the equation of the fin lens equation which is u plus power equals", "tokens": [3175, 1025, 1026, 404, 391, 829, 309, 322, 264, 1868, 3753, 295, 264, 6765, 264, 1442, 6488, 257, 22907, 295, 1025, 1026, 404, 391, 22907, 295, 1025, 1026, 404, 391, 264, 1347, 295, 264, 6765, 307, 1025, 13, 20, 577, 709, 1347, 486, 6222, 365, 264, 6765, 281, 2500, 341, 1442, 321, 486, 352, 281, 264, 5367, 295, 264, 962, 6765, 5367, 597, 307, 344, 1804, 1347, 6915], "avg_logprob": -0.47826085574385047, "compression_ratio": 1.85625, "no_speech_prob": 2.205371856689453e-05, "words": [{"start": 97.01, "end": 97.61, "word": " minus", "probability": 0.1651611328125}, {"start": 97.61, "end": 98.25, "word": " 5", "probability": 0.75}, {"start": 98.25, "end": 99.23, "word": " diopter", "probability": 0.6390787760416666}, {"start": 99.23, "end": 99.85, "word": " put", "probability": 0.250244140625}, {"start": 99.85, "end": 100.01, "word": " it", "probability": 0.7666015625}, {"start": 100.01, "end": 100.15, "word": " on", "probability": 0.7744140625}, {"start": 100.15, "end": 100.21, "word": " the", "probability": 0.818359375}, {"start": 100.21, "end": 100.79, "word": " front", "probability": 0.6328125}, {"start": 100.79, "end": 100.89, "word": " surface", "probability": 0.390869140625}, {"start": 100.89, "end": 101.05, "word": " of", "probability": 0.91943359375}, {"start": 101.05, "end": 101.17, "word": " the", "probability": 0.88134765625}, {"start": 101.17, "end": 101.51, "word": " lens", "probability": 0.62841796875}, {"start": 101.51, "end": 106.07, "word": " the", "probability": 0.38134765625}, {"start": 106.07, "end": 106.25, "word": " light", "probability": 0.76708984375}, {"start": 106.25, "end": 106.59, "word": " reached", "probability": 0.269287109375}, {"start": 106.59, "end": 106.81, "word": " a", "probability": 0.61328125}, {"start": 106.81, "end": 107.29, "word": " wavelength", "probability": 0.12457275390625}, {"start": 107.29, "end": 107.63, "word": " of", "probability": 0.76513671875}, {"start": 107.63, "end": 108.21, "word": " 5", "probability": 0.8408203125}, {"start": 108.21, "end": 108.97, "word": " diopter", "probability": 0.8404947916666666}, {"start": 108.97, "end": 110.35, "word": " wavelength", "probability": 0.221435546875}, {"start": 110.35, "end": 110.73, "word": " of", "probability": 0.67041015625}, {"start": 110.73, "end": 111.31, "word": " 5", "probability": 0.9521484375}, {"start": 111.31, "end": 111.91, "word": " diopter", "probability": 0.9264322916666666}, {"start": 111.91, "end": 112.01, "word": " the", "probability": 0.267333984375}, {"start": 112.01, "end": 112.19, "word": " power", "probability": 0.27783203125}, {"start": 112.19, "end": 112.33, "word": " of", "probability": 0.9658203125}, {"start": 112.33, "end": 112.43, "word": " the", "probability": 0.88916015625}, {"start": 112.43, "end": 112.69, "word": " lens", "probability": 0.82177734375}, {"start": 112.69, "end": 112.83, "word": " is", "probability": 0.69287109375}, {"start": 112.83, "end": 113.03, "word": " 5", "probability": 0.74560546875}, {"start": 113.03, "end": 113.55, "word": ".5", "probability": 0.831787109375}, {"start": 113.55, "end": 114.13, "word": " how", "probability": 0.728515625}, {"start": 114.13, "end": 114.47, "word": " much", "probability": 0.84619140625}, {"start": 114.47, "end": 114.49, "word": " power", "probability": 0.367431640625}, {"start": 114.49, "end": 114.57, "word": " will", "probability": 0.63525390625}, {"start": 114.57, "end": 115.17, "word": " remain", "probability": 0.3818359375}, {"start": 115.17, "end": 115.77, "word": " with", "probability": 0.4580078125}, {"start": 115.77, "end": 116.75, "word": " the", "probability": 0.890625}, {"start": 116.75, "end": 116.75, "word": " lens", "probability": 0.841796875}, {"start": 116.75, "end": 117.55, "word": " to", "probability": 0.81982421875}, {"start": 117.55, "end": 117.99, "word": " collect", "probability": 0.6015625}, {"start": 117.99, "end": 118.25, "word": " this", "probability": 0.74462890625}, {"start": 118.25, "end": 118.53, "word": " light", "probability": 0.87939453125}, {"start": 118.53, "end": 119.43, "word": " we", "probability": 0.314697265625}, {"start": 119.43, "end": 119.47, "word": " will", "probability": 0.486328125}, {"start": 119.47, "end": 119.67, "word": " go", "probability": 0.77734375}, {"start": 119.67, "end": 119.83, "word": " to", "probability": 0.935546875}, {"start": 119.83, "end": 119.93, "word": " the", "probability": 0.78515625}, {"start": 119.93, "end": 120.27, "word": " equation", "probability": 0.71533203125}, {"start": 120.27, "end": 120.53, "word": " of", "probability": 0.53125}, {"start": 120.53, "end": 120.65, "word": " the", "probability": 0.53271484375}, {"start": 120.65, "end": 120.83, "word": " fin", "probability": 0.38525390625}, {"start": 120.83, "end": 121.09, "word": " lens", "probability": 0.52001953125}, {"start": 121.09, "end": 121.69, "word": " equation", "probability": 0.89794921875}, {"start": 121.69, "end": 121.93, "word": " which", "probability": 0.71923828125}, {"start": 121.93, "end": 122.09, "word": " is", "probability": 0.94140625}, {"start": 122.09, "end": 122.65, "word": " u", "probability": 0.47216796875}, {"start": 122.65, "end": 123.55, "word": " plus", "probability": 0.75048828125}, {"start": 123.55, "end": 124.27, "word": " power", "probability": 0.77197265625}, {"start": 124.27, "end": 125.35, "word": " equals", "probability": 0.485595703125}], "temperature": 1.0}, {"id": 6, "seek": 15069, "start": 126.51, "end": 150.69, "text": "the U minus 5 diopter and the power plus 5.5 diopter equals V so V equals plus 0.5 diopter plus 0.5 means it remains with the lens 0.5 diopter", "tokens": [3322, 624, 3175, 1025, 1026, 404, 391, 293, 264, 1347, 1804, 1025, 13, 20, 1026, 404, 391, 6915, 691, 370, 691, 6915, 1804, 1958, 13, 20, 1026, 404, 391, 1804, 1958, 13, 20, 1355, 309, 7023, 365, 264, 6765, 1958, 13, 20, 1026, 404, 391], "avg_logprob": -0.4802989117477251, "compression_ratio": 1.5106382978723405, "no_speech_prob": 1.7881393432617188e-06, "words": [{"start": 126.51, "end": 126.85, "word": "the", "probability": 0.16748046875}, {"start": 126.85, "end": 127.13, "word": " U", "probability": 0.1510009765625}, {"start": 127.13, "end": 129.37, "word": " minus", "probability": 0.3759765625}, {"start": 129.37, "end": 129.75, "word": " 5", "probability": 0.6533203125}, {"start": 129.75, "end": 130.37, "word": " diopter", "probability": 0.8474934895833334}, {"start": 130.37, "end": 132.31, "word": " and", "probability": 0.483154296875}, {"start": 132.31, "end": 132.43, "word": " the", "probability": 0.58056640625}, {"start": 132.43, "end": 132.81, "word": " power", "probability": 0.84375}, {"start": 132.81, "end": 133.87, "word": " plus", "probability": 0.6494140625}, {"start": 133.87, "end": 134.81, "word": " 5", "probability": 0.7119140625}, {"start": 134.81, "end": 135.27, "word": ".5", "probability": 0.7705078125}, {"start": 135.27, "end": 135.91, "word": " diopter", "probability": 0.8557942708333334}, {"start": 135.91, "end": 140.03, "word": " equals", "probability": 0.55419921875}, {"start": 140.03, "end": 141.03, "word": " V", "probability": 0.41162109375}, {"start": 141.03, "end": 142.53, "word": " so", "probability": 0.2164306640625}, {"start": 142.53, "end": 143.27, "word": " V", "probability": 0.7314453125}, {"start": 143.27, "end": 143.91, "word": " equals", "probability": 0.79443359375}, {"start": 143.91, "end": 146.09, "word": " plus", "probability": 0.845703125}, {"start": 146.09, "end": 146.33, "word": " 0", "probability": 0.43359375}, {"start": 146.33, "end": 146.53, "word": ".5", "probability": 0.99169921875}, {"start": 146.53, "end": 147.07, "word": " diopter", "probability": 0.9176432291666666}, {"start": 147.07, "end": 147.53, "word": " plus", "probability": 0.51416015625}, {"start": 147.53, "end": 147.87, "word": " 0", "probability": 0.9072265625}, {"start": 147.87, "end": 147.93, "word": ".5", "probability": 0.9970703125}, {"start": 147.93, "end": 148.09, "word": " means", "probability": 0.57470703125}, {"start": 148.09, "end": 148.27, "word": " it", "probability": 0.2430419921875}, {"start": 148.27, "end": 148.59, "word": " remains", "probability": 0.416259765625}, {"start": 148.59, "end": 148.85, "word": " with", "probability": 0.732421875}, {"start": 148.85, "end": 148.97, "word": " the", "probability": 0.67138671875}, {"start": 148.97, "end": 149.27, "word": " lens", "probability": 0.10699462890625}, {"start": 149.27, "end": 149.61, "word": " 0", "probability": 0.2088623046875}, {"start": 149.61, "end": 150.05, "word": ".5", "probability": 0.99609375}, {"start": 150.05, "end": 150.69, "word": " diopter", "probability": 0.93310546875}], "temperature": 1.0}, {"id": 7, "seek": 17551, "start": 151.65, "end": 175.51, "text": "This plus and a half means that the light will come out as a cluster after it was scattered inside in the amount of plus and a half diodes This is what we put on the back of the lens Now, as long as the light is a cluster, then", "tokens": [5723, 1804, 293, 257, 1922, 1355, 300, 264, 1442, 486, 808, 484, 382, 257, 13630, 934, 309, 390, 21986, 1854, 294, 264, 2372, 295, 1804, 293, 257, 1922, 1026, 4789, 639, 307, 437, 321, 829, 322, 264, 646, 295, 264, 6765, 823, 11, 382, 938, 382, 264, 1442, 307, 257, 13630, 11, 550], "avg_logprob": -0.6510416832235124, "compression_ratio": 1.6099290780141844, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 151.65, "end": 152.01, "word": "This", "probability": 0.173095703125}, {"start": 152.01, "end": 152.41, "word": " plus", "probability": 0.287841796875}, {"start": 152.41, "end": 152.67, "word": " and", "probability": 0.4150390625}, {"start": 152.67, "end": 152.75, "word": " a", "probability": 0.47509765625}, {"start": 152.75, "end": 152.75, "word": " half", "probability": 0.90087890625}, {"start": 152.75, "end": 153.03, "word": " means", "probability": 0.53662109375}, {"start": 153.03, "end": 153.37, "word": " that", "probability": 0.69091796875}, {"start": 153.37, "end": 153.49, "word": " the", "probability": 0.69921875}, {"start": 153.49, "end": 153.69, "word": " light", "probability": 0.73388671875}, {"start": 153.69, "end": 153.99, "word": " will", "probability": 0.63232421875}, {"start": 153.99, "end": 154.35, "word": " come", "probability": 0.43994140625}, {"start": 154.35, "end": 154.47, "word": " out", "probability": 0.78564453125}, {"start": 154.47, "end": 154.47, "word": " as", "probability": 0.12213134765625}, {"start": 154.47, "end": 154.51, "word": " a", "probability": 0.83984375}, {"start": 154.51, "end": 155.09, "word": " cluster", "probability": 0.426513671875}, {"start": 155.09, "end": 156.47, "word": " after", "probability": 0.48095703125}, {"start": 156.47, "end": 156.69, "word": " it", "probability": 0.489501953125}, {"start": 156.69, "end": 156.95, "word": " was", "probability": 0.483154296875}, {"start": 156.95, "end": 157.87, "word": " scattered", "probability": 0.51025390625}, {"start": 157.87, "end": 158.03, "word": " inside", "probability": 0.8212890625}, {"start": 158.03, "end": 158.23, "word": " in", "probability": 0.1947021484375}, {"start": 158.23, "end": 158.35, "word": " the", "probability": 0.31640625}, {"start": 158.35, "end": 158.63, "word": " amount", "probability": 0.376220703125}, {"start": 158.63, "end": 159.13, "word": " of", "probability": 0.56884765625}, {"start": 159.13, "end": 159.57, "word": " plus", "probability": 0.6826171875}, {"start": 159.57, "end": 159.91, "word": " and", "probability": 0.740234375}, {"start": 159.91, "end": 159.97, "word": " a", "probability": 0.8564453125}, {"start": 159.97, "end": 160.11, "word": " half", "probability": 0.87744140625}, {"start": 160.11, "end": 162.03, "word": " diodes", "probability": 0.5125732421875}, {"start": 162.03, "end": 163.89, "word": " This", "probability": 0.376708984375}, {"start": 163.89, "end": 163.97, "word": " is", "probability": 0.401123046875}, {"start": 163.97, "end": 163.99, "word": " what", "probability": 0.310302734375}, {"start": 163.99, "end": 164.05, "word": " we", "probability": 0.8154296875}, {"start": 164.05, "end": 164.27, "word": " put", "probability": 0.69677734375}, {"start": 164.27, "end": 164.43, "word": " on", "probability": 0.90185546875}, {"start": 164.43, "end": 164.91, "word": " the", "probability": 0.9169921875}, {"start": 164.91, "end": 165.19, "word": " back", "probability": 0.67236328125}, {"start": 165.19, "end": 165.37, "word": " of", "probability": 0.591796875}, {"start": 165.37, "end": 165.85, "word": " the", "probability": 0.88037109375}, {"start": 165.85, "end": 166.13, "word": " lens", "probability": 0.125}, {"start": 166.13, "end": 173.13, "word": " Now,", "probability": 0.3798828125}, {"start": 173.85, "end": 174.01, "word": " as", "probability": 0.509765625}, {"start": 174.01, "end": 174.15, "word": " long", "probability": 0.73095703125}, {"start": 174.15, "end": 174.15, "word": " as", "probability": 0.96630859375}, {"start": 174.15, "end": 174.27, "word": " the", "probability": 0.85107421875}, {"start": 174.27, "end": 174.37, "word": " light", "probability": 0.87109375}, {"start": 174.37, "end": 174.53, "word": " is", "probability": 0.84814453125}, {"start": 174.53, "end": 174.95, "word": " a", "probability": 0.0958251953125}, {"start": 174.95, "end": 174.97, "word": " cluster,", "probability": 0.955078125}, {"start": 175.21, "end": 175.51, "word": " then", "probability": 0.72998046875}], "temperature": 1.0}, {"id": 8, "seek": 20483, "start": 176.27, "end": 204.83, "text": "It will give me a real picture. I want to know where the air is in the vacuum. We say V is equal to conditional on I So I is equal to conditional on V And it is equal to conditional one, we are in the air, on V plus half a diopter", "tokens": [3522, 486, 976, 385, 257, 957, 3036, 13, 286, 528, 281, 458, 689, 264, 1988, 307, 294, 264, 14224, 13, 492, 584, 691, 307, 2681, 281, 27708, 322, 286, 407, 286, 307, 2681, 281, 27708, 322, 691, 400, 309, 307, 2681, 281, 27708, 472, 11, 321, 366, 294, 264, 1988, 11, 322, 691, 1804, 1922, 257, 1026, 404, 391], "avg_logprob": -0.46302083631356555, "compression_ratio": 1.6312056737588652, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 176.27, "end": 176.45, "word": "It", "probability": 0.4638671875}, {"start": 176.45, "end": 176.57, "word": " will", "probability": 0.65576171875}, {"start": 176.57, "end": 176.81, "word": " give", "probability": 0.1541748046875}, {"start": 176.81, "end": 177.03, "word": " me", "probability": 0.9248046875}, {"start": 177.03, "end": 177.33, "word": " a", "probability": 0.84228515625}, {"start": 177.33, "end": 177.63, "word": " real", "probability": 0.7841796875}, {"start": 177.63, "end": 177.85, "word": " picture.", "probability": 0.64990234375}, {"start": 178.17, "end": 178.23, "word": " I", "probability": 0.8525390625}, {"start": 178.23, "end": 178.39, "word": " want", "probability": 0.56005859375}, {"start": 178.39, "end": 178.47, "word": " to", "probability": 0.97314453125}, {"start": 178.47, "end": 178.67, "word": " know", "probability": 0.84228515625}, {"start": 178.67, "end": 179.11, "word": " where", "probability": 0.5712890625}, {"start": 179.11, "end": 179.25, "word": " the", "probability": 0.2259521484375}, {"start": 179.25, "end": 179.41, "word": " air", "probability": 0.53271484375}, {"start": 179.41, "end": 179.53, "word": " is", "probability": 0.6533203125}, {"start": 179.53, "end": 179.63, "word": " in", "probability": 0.82958984375}, {"start": 179.63, "end": 179.77, "word": " the", "probability": 0.724609375}, {"start": 179.77, "end": 180.21, "word": " vacuum.", "probability": 0.286376953125}, {"start": 180.65, "end": 180.91, "word": " We", "probability": 0.86181640625}, {"start": 180.91, "end": 181.15, "word": " say", "probability": 0.8515625}, {"start": 181.15, "end": 181.57, "word": " V", "probability": 0.42578125}, {"start": 181.57, "end": 182.51, "word": " is", "probability": 0.325439453125}, {"start": 182.51, "end": 182.91, "word": " equal", "probability": 0.73974609375}, {"start": 182.91, "end": 183.05, "word": " to", "probability": 0.90185546875}, {"start": 183.05, "end": 183.47, "word": " conditional", "probability": 0.1142578125}, {"start": 183.47, "end": 183.87, "word": " on", "probability": 0.5439453125}, {"start": 183.87, "end": 184.29, "word": " I", "probability": 0.86962890625}, {"start": 184.29, "end": 189.97, "word": " So", "probability": 0.5546875}, {"start": 189.97, "end": 190.51, "word": " I", "probability": 0.73779296875}, {"start": 190.51, "end": 190.99, "word": " is", "probability": 0.80859375}, {"start": 190.99, "end": 191.57, "word": " equal", "probability": 0.93017578125}, {"start": 191.57, "end": 194.07, "word": " to", "probability": 0.87744140625}, {"start": 194.07, "end": 194.61, "word": " conditional", "probability": 0.85986328125}, {"start": 194.61, "end": 195.41, "word": " on", "probability": 0.93603515625}, {"start": 195.41, "end": 195.81, "word": " V", "probability": 0.96142578125}, {"start": 195.81, "end": 197.97, "word": " And", "probability": 0.1708984375}, {"start": 197.97, "end": 198.09, "word": " it", "probability": 0.5009765625}, {"start": 198.09, "end": 198.17, "word": " is", "probability": 0.55615234375}, {"start": 198.17, "end": 198.53, "word": " equal", "probability": 0.9208984375}, {"start": 198.53, "end": 199.43, "word": " to", "probability": 0.96142578125}, {"start": 199.43, "end": 199.89, "word": " conditional", "probability": 0.6767578125}, {"start": 199.89, "end": 200.35, "word": " one,", "probability": 0.32080078125}, {"start": 200.57, "end": 200.69, "word": " we", "probability": 0.82568359375}, {"start": 200.69, "end": 200.79, "word": " are", "probability": 0.82373046875}, {"start": 200.79, "end": 200.91, "word": " in", "probability": 0.90966796875}, {"start": 200.91, "end": 201.01, "word": " the", "probability": 0.66748046875}, {"start": 201.01, "end": 201.27, "word": " air,", "probability": 0.9150390625}, {"start": 202.01, "end": 202.25, "word": " on", "probability": 0.80517578125}, {"start": 202.25, "end": 203.13, "word": " V", "probability": 0.9609375}, {"start": 203.13, "end": 203.87, "word": " plus", "probability": 0.91357421875}, {"start": 203.87, "end": 204.21, "word": " half", "probability": 0.740234375}, {"start": 204.21, "end": 204.41, "word": " a", "probability": 0.273193359375}, {"start": 204.41, "end": 204.83, "word": " diopter", "probability": 0.86083984375}], "temperature": 1.0}, {"id": 9, "seek": 23776, "start": 211.36, "end": 237.76, "text": "ويساوي واحد ع plus نص plus اتنين والديوبتر متر او ناقص واحد في المقام لما بيطلع لفوق بيسير متر اذا الصورة ع بعد اتنين متر لليمين طالما plus اذا لليمين من العدسة العدسة مين الأولى احنا بنتعامل مع العدسة الأولى اذا plus اتنين متر لازم احط موقع الصورة المسافة بين العدسة الأولى و التانية متر", "tokens": [2407, 1829, 3794, 995, 45865, 36764, 24401, 6225, 1804, 8717, 9381, 1804, 1975, 2655, 1863, 9957, 4032, 6027, 16254, 37746, 2655, 2288, 44650, 2288, 1975, 2407, 8717, 995, 4587, 9381, 36764, 24401, 8978, 9673, 4587, 10943, 5296, 15042, 4724, 1829, 9566, 1211, 3615, 5296, 5172, 30543, 4724, 1829, 3794, 13546, 44650, 2288, 1975, 15730, 31767, 13063, 3660, 6225, 39182, 1975, 2655, 1863, 9957, 44650, 2288, 5296, 20292, 2304, 9957, 23032, 6027, 15042, 1804, 1975, 15730, 5296, 20292, 2304, 9957, 9154, 18863, 3215, 3794, 3660, 18863, 3215, 3794, 3660, 3714, 9957, 16247, 12610, 7578, 1975, 5016, 8315, 4724, 29399, 3615, 10943, 1211, 20449, 18863, 3215, 3794, 3660, 16247, 12610, 7578, 1975, 15730, 1804, 1975, 2655, 1863, 9957, 44650, 2288, 5296, 31377, 2304, 1975, 5016, 9566, 3714, 30543, 3615, 31767, 13063, 3660, 9673, 3794, 31845, 3660, 49374, 18863, 3215, 3794, 3660, 16247, 12610, 7578, 4032, 16712, 7649, 10632, 44650, 2288], "avg_logprob": -0.15939597435445593, "compression_ratio": 2.2290748898678414, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 211.35999999999999, "end": 212.2, "word": "ويساوي", "probability": 0.6455078125}, {"start": 212.2, "end": 213.04, "word": " واحد", "probability": 0.906982421875}, {"start": 213.04, "end": 213.18, "word": " ع", "probability": 0.82080078125}, {"start": 213.18, "end": 213.48, "word": " plus", "probability": 0.740234375}, {"start": 213.48, "end": 213.94, "word": " نص", "probability": 0.96484375}, {"start": 213.94, "end": 214.22, "word": " plus", "probability": 0.91748046875}, {"start": 214.22, "end": 214.8, "word": " اتنين", "probability": 0.949951171875}, {"start": 214.8, "end": 216.78, "word": " والديوبتر", "probability": 0.6568196614583334}, {"start": 216.78, "end": 217.12, "word": " متر", "probability": 0.7430419921875}, {"start": 217.12, "end": 217.22, "word": " او", "probability": 0.530517578125}, {"start": 217.22, "end": 217.64, "word": " ناقص", "probability": 0.854736328125}, {"start": 217.64, "end": 217.98, "word": " واحد", "probability": 0.981689453125}, {"start": 217.98, "end": 218.08, "word": " في", "probability": 0.626953125}, {"start": 218.08, "end": 218.46, "word": " المقام", "probability": 0.97802734375}, {"start": 218.46, "end": 218.7, "word": " لما", "probability": 0.91162109375}, {"start": 218.7, "end": 219.16, "word": " بيطلع", "probability": 0.976171875}, {"start": 219.16, "end": 219.56, "word": " لفوق", "probability": 0.8102213541666666}, {"start": 219.56, "end": 220.02, "word": " بيسير", "probability": 0.8555908203125}, {"start": 220.02, "end": 220.44, "word": " متر", "probability": 0.963623046875}, {"start": 220.44, "end": 221.08, "word": " اذا", "probability": 0.6949462890625}, {"start": 221.08, "end": 221.76, "word": " الصورة", "probability": 0.9285481770833334}, {"start": 221.76, "end": 221.88, "word": " ع", "probability": 0.9052734375}, {"start": 221.88, "end": 222.24, "word": " بعد", "probability": 0.497314453125}, {"start": 222.24, "end": 223.08, "word": " اتنين", "probability": 0.974365234375}, {"start": 223.08, "end": 223.5, "word": " متر", "probability": 0.9755859375}, {"start": 223.5, "end": 224.2, "word": " لليمين", "probability": 0.846435546875}, {"start": 224.2, "end": 224.62, "word": " طالما", "probability": 0.9659830729166666}, {"start": 224.62, "end": 224.98, "word": " plus", "probability": 0.943359375}, {"start": 224.98, "end": 225.32, "word": " اذا", "probability": 0.78173828125}, {"start": 225.32, "end": 225.98, "word": " لليمين", "probability": 0.933349609375}, {"start": 225.98, "end": 226.32, "word": " من", "probability": 0.994140625}, {"start": 226.32, "end": 227.3, "word": " العدسة", "probability": 0.9644775390625}, {"start": 227.3, "end": 228.06, "word": " العدسة", "probability": 0.94677734375}, {"start": 228.06, "end": 228.28, "word": " مين", "probability": 0.7322998046875}, {"start": 228.28, "end": 228.68, "word": " الأولى", "probability": 0.8294270833333334}, {"start": 228.68, "end": 228.8, "word": " احنا", "probability": 0.8761393229166666}, {"start": 228.8, "end": 229.36, "word": " بنتعامل", "probability": 0.86904296875}, {"start": 229.36, "end": 229.5, "word": " مع", "probability": 0.9833984375}, {"start": 229.5, "end": 230.16, "word": " العدسة", "probability": 0.9920654296875}, {"start": 230.16, "end": 230.98, "word": " الأولى", "probability": 0.859375}, {"start": 230.98, "end": 231.2, "word": " اذا", "probability": 0.870849609375}, {"start": 231.2, "end": 231.64, "word": " plus", "probability": 0.97119140625}, {"start": 231.64, "end": 232.16, "word": " اتنين", "probability": 0.98486328125}, {"start": 232.16, "end": 232.64, "word": " متر", "probability": 0.982177734375}, {"start": 232.64, "end": 233.44, "word": " لازم", "probability": 0.5849609375}, {"start": 233.44, "end": 233.8, "word": " احط", "probability": 0.806640625}, {"start": 233.8, "end": 234.3, "word": " موقع", "probability": 0.98779296875}, {"start": 234.3, "end": 234.84, "word": " الصورة", "probability": 0.9908854166666666}, {"start": 234.84, "end": 235.76, "word": " المسافة", "probability": 0.9598388671875}, {"start": 235.76, "end": 235.96, "word": " بين", "probability": 0.98828125}, {"start": 235.96, "end": 236.48, "word": " العدسة", "probability": 0.9951171875}, {"start": 236.48, "end": 236.82, "word": " الأولى", "probability": 0.9557291666666666}, {"start": 236.82, "end": 236.9, "word": " و", "probability": 0.6728515625}, {"start": 236.9, "end": 237.32, "word": " التانية", "probability": 0.81298828125}, {"start": 237.32, "end": 237.76, "word": " متر", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 10, "seek": 25426, "start": 238.44, "end": 254.26, "text": "But the picture of the first lens is two meters away from the first lens. So it needs a meter here and another meter and another meter. So I will take the picture away", "tokens": [7835, 264, 3036, 295, 264, 700, 6765, 307, 732, 8146, 1314, 490, 264, 700, 6765, 13, 407, 309, 2203, 257, 9255, 510, 293, 1071, 9255, 293, 1071, 9255, 13, 407, 286, 486, 747, 264, 3036, 1314], "avg_logprob": -0.4898648519773741, "compression_ratio": 1.5462962962962963, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 238.44, "end": 238.74, "word": "But", "probability": 0.6337890625}, {"start": 238.74, "end": 238.92, "word": " the", "probability": 0.83251953125}, {"start": 238.92, "end": 239.14, "word": " picture", "probability": 0.3359375}, {"start": 239.14, "end": 239.44, "word": " of", "probability": 0.8857421875}, {"start": 239.44, "end": 239.52, "word": " the", "probability": 0.88623046875}, {"start": 239.52, "end": 240.16, "word": " first", "probability": 0.83837890625}, {"start": 240.16, "end": 240.18, "word": " lens", "probability": 0.6748046875}, {"start": 240.18, "end": 241.42, "word": " is", "probability": 0.48193359375}, {"start": 241.42, "end": 241.92, "word": " two", "probability": 0.367919921875}, {"start": 241.92, "end": 242.54, "word": " meters", "probability": 0.9248046875}, {"start": 242.54, "end": 242.64, "word": " away", "probability": 0.71240234375}, {"start": 242.64, "end": 242.78, "word": " from", "probability": 0.89111328125}, {"start": 242.78, "end": 242.92, "word": " the", "probability": 0.89111328125}, {"start": 242.92, "end": 243.52, "word": " first", "probability": 0.76025390625}, {"start": 243.52, "end": 243.52, "word": " lens.", "probability": 0.85107421875}, {"start": 243.62, "end": 243.8, "word": " So", "probability": 0.414306640625}, {"start": 243.8, "end": 243.92, "word": " it", "probability": 0.2435302734375}, {"start": 243.92, "end": 244.08, "word": " needs", "probability": 0.400390625}, {"start": 244.08, "end": 244.46, "word": " a", "probability": 0.28173828125}, {"start": 244.46, "end": 244.76, "word": " meter", "probability": 0.93701171875}, {"start": 244.76, "end": 244.86, "word": " here", "probability": 0.50146484375}, {"start": 244.86, "end": 245.04, "word": " and", "probability": 0.7900390625}, {"start": 245.04, "end": 245.46, "word": " another", "probability": 0.65380859375}, {"start": 245.46, "end": 245.86, "word": " meter", "probability": 0.88720703125}, {"start": 245.86, "end": 246.12, "word": " and", "probability": 0.36962890625}, {"start": 246.12, "end": 246.42, "word": " another", "probability": 0.8740234375}, {"start": 246.42, "end": 246.74, "word": " meter.", "probability": 0.9267578125}, {"start": 247.24, "end": 247.64, "word": " So", "probability": 0.75244140625}, {"start": 247.64, "end": 253.38, "word": " I", "probability": 0.5166015625}, {"start": 253.38, "end": 253.52, "word": " will", "probability": 0.413818359375}, {"start": 253.52, "end": 253.64, "word": " take", "probability": 0.70361328125}, {"start": 253.64, "end": 253.78, "word": " the", "probability": 0.85791015625}, {"start": 253.78, "end": 254.0, "word": " picture", "probability": 0.75830078125}, {"start": 254.0, "end": 254.26, "word": " away", "probability": 0.74853515625}], "temperature": 1.0}, {"id": 11, "seek": 28174, "start": 255.62, "end": 281.74, "text": "another meter from the second lens because it is two meters away from the first lens and I will flip the picture, why? because the picture will look twisted as we will see later if you notice I drew a big picture on the end we will know why in a while drawing sometimes helps a lot in a person to reach a result", "tokens": [282, 802, 9255, 490, 264, 1150, 6765, 570, 309, 307, 732, 8146, 1314, 490, 264, 700, 6765, 293, 286, 486, 7929, 264, 3036, 11, 983, 30, 570, 264, 3036, 486, 574, 23057, 382, 321, 486, 536, 1780, 498, 291, 3449, 286, 12804, 257, 955, 3036, 322, 264, 917, 321, 486, 458, 983, 294, 257, 1339, 6316, 2171, 3665, 257, 688, 294, 257, 954, 281, 2524, 257, 1874], "avg_logprob": -0.46989890319459576, "compression_ratio": 1.681081081081081, "no_speech_prob": 3.725290298461914e-05, "words": [{"start": 255.62, "end": 255.82, "word": "another", "probability": 0.6591796875}, {"start": 255.82, "end": 256.18, "word": " meter", "probability": 0.8447265625}, {"start": 256.18, "end": 256.7, "word": " from", "probability": 0.638671875}, {"start": 256.7, "end": 256.82, "word": " the", "probability": 0.83740234375}, {"start": 256.82, "end": 257.58, "word": " second", "probability": 0.40625}, {"start": 257.58, "end": 257.58, "word": " lens", "probability": 0.744140625}, {"start": 257.58, "end": 258.04, "word": " because", "probability": 0.53125}, {"start": 258.04, "end": 258.26, "word": " it", "probability": 0.5244140625}, {"start": 258.26, "end": 258.28, "word": " is", "probability": 0.42041015625}, {"start": 258.28, "end": 258.62, "word": " two", "probability": 0.669921875}, {"start": 258.62, "end": 258.92, "word": " meters", "probability": 0.94921875}, {"start": 258.92, "end": 259.1, "word": " away", "probability": 0.59130859375}, {"start": 259.1, "end": 259.36, "word": " from", "probability": 0.87939453125}, {"start": 259.36, "end": 259.48, "word": " the", "probability": 0.916015625}, {"start": 259.48, "end": 260.46, "word": " first", "probability": 0.84521484375}, {"start": 260.46, "end": 260.46, "word": " lens", "probability": 0.8740234375}, {"start": 260.46, "end": 261.22, "word": " and", "probability": 0.705078125}, {"start": 261.22, "end": 261.4, "word": " I", "probability": 0.857421875}, {"start": 261.4, "end": 261.5, "word": " will", "probability": 0.7451171875}, {"start": 261.5, "end": 261.7, "word": " flip", "probability": 0.195068359375}, {"start": 261.7, "end": 261.92, "word": " the", "probability": 0.71826171875}, {"start": 261.92, "end": 262.2, "word": " picture,", "probability": 0.50390625}, {"start": 262.3, "end": 262.58, "word": " why?", "probability": 0.85400390625}, {"start": 262.62, "end": 263.0, "word": " because", "probability": 0.60205078125}, {"start": 263.0, "end": 263.34, "word": " the", "probability": 0.81982421875}, {"start": 263.34, "end": 263.54, "word": " picture", "probability": 0.78662109375}, {"start": 263.54, "end": 263.78, "word": " will", "probability": 0.82470703125}, {"start": 263.78, "end": 264.04, "word": " look", "probability": 0.27001953125}, {"start": 264.04, "end": 264.72, "word": " twisted", "probability": 0.1387939453125}, {"start": 264.72, "end": 265.02, "word": " as", "probability": 0.44384765625}, {"start": 265.02, "end": 265.66, "word": " we", "probability": 0.84619140625}, {"start": 265.66, "end": 265.98, "word": " will", "probability": 0.7392578125}, {"start": 265.98, "end": 266.18, "word": " see", "probability": 0.91259765625}, {"start": 266.18, "end": 266.52, "word": " later", "probability": 0.451904296875}, {"start": 266.52, "end": 267.48, "word": " if", "probability": 0.58837890625}, {"start": 267.48, "end": 267.62, "word": " you", "probability": 0.95947265625}, {"start": 267.62, "end": 267.9, "word": " notice", "probability": 0.67236328125}, {"start": 267.9, "end": 268.16, "word": " I", "probability": 0.4345703125}, {"start": 268.16, "end": 268.56, "word": " drew", "probability": 0.8701171875}, {"start": 268.56, "end": 268.96, "word": " a", "probability": 0.97802734375}, {"start": 268.96, "end": 269.24, "word": " big", "probability": 0.666015625}, {"start": 269.24, "end": 269.28, "word": " picture", "probability": 0.82666015625}, {"start": 269.28, "end": 269.46, "word": " on", "probability": 0.47412109375}, {"start": 269.46, "end": 269.58, "word": " the", "probability": 0.86962890625}, {"start": 269.58, "end": 269.9, "word": " end", "probability": 0.463623046875}, {"start": 269.9, "end": 273.06, "word": " we", "probability": 0.74169921875}, {"start": 273.06, "end": 273.1, "word": " will", "probability": 0.81396484375}, {"start": 273.1, "end": 273.34, "word": " know", "probability": 0.61279296875}, {"start": 273.34, "end": 273.6, "word": " why", "probability": 0.80419921875}, {"start": 273.6, "end": 273.82, "word": " in", "probability": 0.294189453125}, {"start": 273.82, "end": 273.98, "word": " a", "probability": 0.97119140625}, {"start": 273.98, "end": 274.24, "word": " while", "probability": 0.36474609375}, {"start": 274.24, "end": 276.52, "word": " drawing", "probability": 0.6533203125}, {"start": 276.52, "end": 277.02, "word": " sometimes", "probability": 0.65185546875}, {"start": 277.02, "end": 277.48, "word": " helps", "probability": 0.74072265625}, {"start": 277.48, "end": 277.7, "word": " a", "probability": 0.55908203125}, {"start": 277.7, "end": 277.86, "word": " lot", "probability": 0.83203125}, {"start": 277.86, "end": 278.02, "word": " in", "probability": 0.48095703125}, {"start": 278.02, "end": 278.1, "word": " a", "probability": 0.338134765625}, {"start": 278.1, "end": 278.46, "word": " person", "probability": 0.80126953125}, {"start": 278.46, "end": 278.86, "word": " to", "probability": 0.88818359375}, {"start": 278.86, "end": 279.6, "word": " reach", "probability": 0.62841796875}, {"start": 279.6, "end": 281.12, "word": " a", "probability": 0.59423828125}, {"start": 281.12, "end": 281.74, "word": " result", "probability": 0.6923828125}], "temperature": 1.0}, {"id": 12, "seek": 29212, "start": 283.7, "end": 292.12, "text": "هي على بعد متر من العدسة التانية وعبعد مترين من العدسة الأولى اللى كونتها هنا واحد متر", "tokens": [3224, 1829, 15844, 39182, 44650, 2288, 9154, 18863, 3215, 3794, 3660, 16712, 7649, 10632, 4032, 3615, 3555, 22488, 44650, 2288, 9957, 9154, 18863, 3215, 3794, 3660, 16247, 12610, 7578, 13672, 7578, 9122, 11536, 2655, 11296, 34105, 36764, 24401, 44650, 2288], "avg_logprob": -0.20922256679069706, "compression_ratio": 1.6421052631578947, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 283.7, "end": 284.16, "word": "هي", "probability": 0.2602386474609375}, {"start": 284.16, "end": 284.88, "word": " على", "probability": 0.8076171875}, {"start": 284.88, "end": 285.18, "word": " بعد", "probability": 0.689453125}, {"start": 285.18, "end": 285.74, "word": " متر", "probability": 0.80810546875}, {"start": 285.74, "end": 285.96, "word": " من", "probability": 0.98779296875}, {"start": 285.96, "end": 286.48, "word": " العدسة", "probability": 0.94775390625}, {"start": 286.48, "end": 286.84, "word": " التانية", "probability": 0.96435546875}, {"start": 286.84, "end": 287.3, "word": " وعبعد", "probability": 0.7867431640625}, {"start": 287.3, "end": 287.8, "word": " مترين", "probability": 0.9173177083333334}, {"start": 287.8, "end": 287.94, "word": " من", "probability": 0.98583984375}, {"start": 287.94, "end": 288.46, "word": " العدسة", "probability": 0.9918212890625}, {"start": 288.46, "end": 288.94, "word": " الأولى", "probability": 0.9694010416666666}, {"start": 288.94, "end": 289.26, "word": " اللى", "probability": 0.966796875}, {"start": 289.26, "end": 290.04, "word": " كونتها", "probability": 0.894287109375}, {"start": 290.04, "end": 291.22, "word": " هنا", "probability": 0.27490234375}, {"start": 291.22, "end": 291.62, "word": " واحد", "probability": 0.93701171875}, {"start": 291.62, "end": 292.12, "word": " متر", "probability": 0.97314453125}], "temperature": 1.0}, {"id": 13, "seek": 32186, "start": 298.64, "end": 321.86, "text": "we will make the color of the image blue and the color of the body blue and the lens blue to say this is the picture of the first lens this is the picture of the first lens why I drew it in a very big way we will know from the transference magnification why it is big and why it is twisted we say TM1 we go back to the", "tokens": [826, 486, 652, 264, 2017, 295, 264, 3256, 3344, 293, 264, 2017, 295, 264, 1772, 3344, 293, 264, 6765, 3344, 281, 584, 341, 307, 264, 3036, 295, 264, 700, 6765, 341, 307, 264, 3036, 295, 264, 700, 6765, 983, 286, 12804, 309, 294, 257, 588, 955, 636, 321, 486, 458, 490, 264, 5003, 655, 4944, 3774, 983, 309, 307, 955, 293, 983, 309, 307, 23057, 321, 584, 33550, 16, 321, 352, 646, 281, 264], "avg_logprob": -0.4366666563351949, "compression_ratio": 1.8705882352941177, "no_speech_prob": 1.9431114196777344e-05, "words": [{"start": 298.64, "end": 298.82, "word": "we", "probability": 0.1817626953125}, {"start": 298.82, "end": 298.92, "word": " will", "probability": 0.46728515625}, {"start": 298.92, "end": 299.3, "word": " make", "probability": 0.51220703125}, {"start": 299.3, "end": 299.66, "word": " the", "probability": 0.65234375}, {"start": 299.66, "end": 300.42, "word": " color", "probability": 0.335693359375}, {"start": 300.42, "end": 300.52, "word": " of", "probability": 0.85791015625}, {"start": 300.52, "end": 300.58, "word": " the", "probability": 0.82275390625}, {"start": 300.58, "end": 300.78, "word": " image", "probability": 0.357666015625}, {"start": 300.78, "end": 301.18, "word": " blue", "probability": 0.431640625}, {"start": 301.18, "end": 302.18, "word": " and", "probability": 0.517578125}, {"start": 302.18, "end": 302.24, "word": " the", "probability": 0.67724609375}, {"start": 302.24, "end": 302.3, "word": " color", "probability": 0.460693359375}, {"start": 302.3, "end": 302.48, "word": " of", "probability": 0.96826171875}, {"start": 302.48, "end": 302.5, "word": " the", "probability": 0.88525390625}, {"start": 302.5, "end": 302.68, "word": " body", "probability": 0.65478515625}, {"start": 302.68, "end": 303.16, "word": " blue", "probability": 0.8232421875}, {"start": 303.16, "end": 303.3, "word": " and", "probability": 0.82373046875}, {"start": 303.3, "end": 303.4, "word": " the", "probability": 0.85498046875}, {"start": 303.4, "end": 303.64, "word": " lens", "probability": 0.7158203125}, {"start": 303.64, "end": 304.0, "word": " blue", "probability": 0.8408203125}, {"start": 304.0, "end": 304.18, "word": " to", "probability": 0.5009765625}, {"start": 304.18, "end": 304.42, "word": " say", "probability": 0.83642578125}, {"start": 304.42, "end": 304.9, "word": " this", "probability": 0.6005859375}, {"start": 304.9, "end": 305.88, "word": " is", "probability": 0.90087890625}, {"start": 305.88, "end": 305.9, "word": " the", "probability": 0.828125}, {"start": 305.9, "end": 306.2, "word": " picture", "probability": 0.263427734375}, {"start": 306.2, "end": 306.4, "word": " of", "probability": 0.96728515625}, {"start": 306.4, "end": 306.5, "word": " the", "probability": 0.9189453125}, {"start": 306.5, "end": 307.2, "word": " first", "probability": 0.7763671875}, {"start": 307.2, "end": 307.2, "word": " lens", "probability": 0.822265625}, {"start": 307.2, "end": 307.58, "word": " this", "probability": 0.341064453125}, {"start": 307.58, "end": 307.68, "word": " is", "probability": 0.935546875}, {"start": 307.68, "end": 307.72, "word": " the", "probability": 0.9091796875}, {"start": 307.72, "end": 307.92, "word": " picture", "probability": 0.77392578125}, {"start": 307.92, "end": 308.04, "word": " of", "probability": 0.96875}, {"start": 308.04, "end": 309.1, "word": " the", "probability": 0.919921875}, {"start": 309.1, "end": 309.4, "word": " first", "probability": 0.87060546875}, {"start": 309.4, "end": 309.42, "word": " lens", "probability": 0.87744140625}, {"start": 309.42, "end": 309.98, "word": " why", "probability": 0.56591796875}, {"start": 309.98, "end": 310.08, "word": " I", "probability": 0.3125}, {"start": 310.08, "end": 310.26, "word": " drew", "probability": 0.84521484375}, {"start": 310.26, "end": 310.5, "word": " it", "probability": 0.90087890625}, {"start": 310.5, "end": 310.56, "word": " in", "probability": 0.390380859375}, {"start": 310.56, "end": 310.8, "word": " a", "probability": 0.72265625}, {"start": 310.8, "end": 310.8, "word": " very", "probability": 0.6328125}, {"start": 310.8, "end": 311.22, "word": " big", "probability": 0.3515625}, {"start": 311.22, "end": 311.3, "word": " way", "probability": 0.79150390625}, {"start": 311.3, "end": 311.72, "word": " we", "probability": 0.450439453125}, {"start": 311.72, "end": 311.8, "word": " will", "probability": 0.8427734375}, {"start": 311.8, "end": 312.1, "word": " know", "probability": 0.724609375}, {"start": 312.1, "end": 312.32, "word": " from", "probability": 0.77294921875}, {"start": 312.32, "end": 312.46, "word": " the", "probability": 0.7705078125}, {"start": 312.46, "end": 313.06, "word": " transference", "probability": 0.458740234375}, {"start": 313.06, "end": 313.72, "word": " magnification", "probability": 0.964111328125}, {"start": 313.72, "end": 314.06, "word": " why", "probability": 0.716796875}, {"start": 314.06, "end": 314.18, "word": " it", "probability": 0.4375}, {"start": 314.18, "end": 314.18, "word": " is", "probability": 0.77587890625}, {"start": 314.18, "end": 314.46, "word": " big", "probability": 0.77587890625}, {"start": 314.46, "end": 314.66, "word": " and", "probability": 0.9208984375}, {"start": 314.66, "end": 314.94, "word": " why", "probability": 0.8427734375}, {"start": 314.94, "end": 315.1, "word": " it", "probability": 0.857421875}, {"start": 315.1, "end": 315.1, "word": " is", "probability": 0.916015625}, {"start": 315.1, "end": 315.48, "word": " twisted", "probability": 0.1904296875}, {"start": 315.48, "end": 316.04, "word": " we", "probability": 0.66064453125}, {"start": 316.04, "end": 316.32, "word": " say", "probability": 0.6875}, {"start": 316.32, "end": 317.54, "word": " TM1", "probability": 0.6536865234375}, {"start": 317.54, "end": 321.0, "word": " we", "probability": 0.417236328125}, {"start": 321.0, "end": 321.12, "word": " go", "probability": 0.61572265625}, {"start": 321.12, "end": 321.26, "word": " back", "probability": 0.8779296875}, {"start": 321.26, "end": 321.62, "word": " to", "probability": 0.89306640625}, {"start": 321.62, "end": 321.86, "word": " the", "probability": 0.73291015625}], "temperature": 1.0}, {"id": 14, "seek": 35648, "start": 334.16, "end": 356.48, "text": "TM1 is equal to U over V is equal to U minus 5 diopter and V plus half diopter is equal to", "tokens": [42023, 16, 307, 2681, 281, 624, 670, 691, 307, 2681, 281, 624, 3175, 1025, 1026, 404, 391, 293, 691, 1804, 1922, 1026, 404, 391, 307, 2681, 281], "avg_logprob": -0.5013951020581382, "compression_ratio": 1.3846153846153846, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 334.16, "end": 334.94, "word": "TM1", "probability": 0.706298828125}, {"start": 334.94, "end": 335.54, "word": " is", "probability": 0.0244903564453125}, {"start": 335.54, "end": 336.02, "word": " equal", "probability": 0.74951171875}, {"start": 336.02, "end": 336.72, "word": " to", "probability": 0.93505859375}, {"start": 336.72, "end": 337.02, "word": " U", "probability": 0.69384765625}, {"start": 337.02, "end": 337.24, "word": " over", "probability": 0.428955078125}, {"start": 337.24, "end": 337.62, "word": " V", "probability": 0.96533203125}, {"start": 337.62, "end": 340.5, "word": " is", "probability": 0.190185546875}, {"start": 340.5, "end": 340.92, "word": " equal", "probability": 0.873046875}, {"start": 340.92, "end": 341.1, "word": " to", "probability": 0.81201171875}, {"start": 341.1, "end": 342.72, "word": " U", "probability": 0.2406005859375}, {"start": 342.72, "end": 343.78, "word": " minus", "probability": 0.9306640625}, {"start": 343.78, "end": 344.2, "word": " 5", "probability": 0.447021484375}, {"start": 344.2, "end": 344.8, "word": " diopter", "probability": 0.6866861979166666}, {"start": 344.8, "end": 347.68, "word": " and", "probability": 0.308349609375}, {"start": 347.68, "end": 348.04, "word": " V", "probability": 0.78515625}, {"start": 348.04, "end": 349.52, "word": " plus", "probability": 0.80810546875}, {"start": 349.52, "end": 349.84, "word": " half", "probability": 0.62109375}, {"start": 349.84, "end": 351.86, "word": " diopter", "probability": 0.8841145833333334}, {"start": 351.86, "end": 354.92, "word": " is", "probability": 0.22705078125}, {"start": 354.92, "end": 355.98, "word": " equal", "probability": 0.89208984375}, {"start": 355.98, "end": 356.48, "word": " to", "probability": 0.9638671875}], "temperature": 1.0}, {"id": 15, "seek": 38328, "start": 357.82, "end": 383.28, "text": "Minus on plus, of course X because it's big Minus, minus on plus, minus Five on half, ten I get X minus ten and the diopter with the diopter goes Let's give it another color Let's say, then", "tokens": [30031, 301, 322, 1804, 11, 295, 1164, 1783, 570, 309, 311, 955, 2829, 301, 11, 3175, 322, 1804, 11, 3175, 9436, 322, 1922, 11, 2064, 286, 483, 1783, 3175, 2064, 293, 264, 1026, 404, 391, 365, 264, 1026, 404, 391, 1709, 961, 311, 976, 309, 1071, 2017, 961, 311, 584, 11, 550], "avg_logprob": -0.5106132255410248, "compression_ratio": 1.4881889763779528, "no_speech_prob": 1.1324882507324219e-06, "words": [{"start": 357.82, "end": 358.38, "word": "Minus", "probability": 0.6376953125}, {"start": 358.38, "end": 358.54, "word": " on", "probability": 0.262939453125}, {"start": 358.54, "end": 358.9, "word": " plus,", "probability": 0.87255859375}, {"start": 359.12, "end": 359.26, "word": " of", "probability": 0.4248046875}, {"start": 359.26, "end": 359.26, "word": " course", "probability": 0.92431640625}, {"start": 359.26, "end": 359.68, "word": " X", "probability": 0.409423828125}, {"start": 359.68, "end": 359.94, "word": " because", "probability": 0.64453125}, {"start": 359.94, "end": 360.14, "word": " it's", "probability": 0.752197265625}, {"start": 360.14, "end": 360.38, "word": " big", "probability": 0.473876953125}, {"start": 360.38, "end": 361.72, "word": " Minus,", "probability": 0.70751953125}, {"start": 362.18, "end": 362.62, "word": " minus", "probability": 0.9140625}, {"start": 362.62, "end": 362.8, "word": " on", "probability": 0.91552734375}, {"start": 362.8, "end": 363.02, "word": " plus,", "probability": 0.94677734375}, {"start": 363.16, "end": 363.52, "word": " minus", "probability": 0.92919921875}, {"start": 363.52, "end": 364.14, "word": " Five", "probability": 0.302490234375}, {"start": 364.14, "end": 364.46, "word": " on", "probability": 0.485107421875}, {"start": 364.46, "end": 364.78, "word": " half,", "probability": 0.434326171875}, {"start": 364.82, "end": 365.16, "word": " ten", "probability": 0.87158203125}, {"start": 365.16, "end": 366.24, "word": " I", "probability": 0.2578125}, {"start": 366.24, "end": 366.44, "word": " get", "probability": 0.49365234375}, {"start": 366.44, "end": 367.18, "word": " X", "probability": 0.888671875}, {"start": 367.18, "end": 367.56, "word": " minus", "probability": 0.96044921875}, {"start": 367.56, "end": 368.0, "word": " ten", "probability": 0.865234375}, {"start": 368.0, "end": 368.2, "word": " and", "probability": 0.380859375}, {"start": 368.2, "end": 368.3, "word": " the", "probability": 0.689453125}, {"start": 368.3, "end": 368.72, "word": " diopter", "probability": 0.8551432291666666}, {"start": 368.72, "end": 369.34, "word": " with", "probability": 0.266845703125}, {"start": 369.34, "end": 369.54, "word": " the", "probability": 0.662109375}, {"start": 369.54, "end": 369.92, "word": " diopter", "probability": 0.93701171875}, {"start": 369.92, "end": 370.3, "word": " goes", "probability": 0.410400390625}, {"start": 370.3, "end": 372.2, "word": " Let's", "probability": 0.527099609375}, {"start": 372.2, "end": 372.36, "word": " give", "probability": 0.65966796875}, {"start": 372.36, "end": 372.54, "word": " it", "probability": 0.8544921875}, {"start": 372.54, "end": 372.54, "word": " another", "probability": 0.80419921875}, {"start": 372.54, "end": 376.06, "word": " color", "probability": 0.869140625}, {"start": 376.06, "end": 381.94, "word": " Let's", "probability": 0.6419677734375}, {"start": 381.94, "end": 382.16, "word": " say,", "probability": 0.93603515625}, {"start": 382.58, "end": 383.28, "word": " then", "probability": 0.60107421875}], "temperature": 1.0}, {"id": 16, "seek": 41406, "start": 389.42, "end": 414.06, "text": "x minus 10, the first picture is bigger than its body by 10 times and it is upside down compared to it and it is upside down compared to it we .. the .. the .. the view is supposed to be handy in the following way when I start dealing with each lens one by one", "tokens": [87, 3175, 1266, 11, 264, 700, 3036, 307, 3801, 813, 1080, 1772, 538, 1266, 1413, 293, 309, 307, 14119, 760, 5347, 281, 309, 293, 309, 307, 14119, 760, 5347, 281, 309, 321, 4386, 264, 4386, 264, 4386, 264, 1910, 307, 3442, 281, 312, 13239, 294, 264, 3480, 636, 562, 286, 722, 6260, 365, 1184, 6765, 472, 538, 472], "avg_logprob": -0.5227753974623599, "compression_ratio": 1.6883116883116882, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 389.42, "end": 389.8, "word": "x", "probability": 0.53857421875}, {"start": 389.8, "end": 390.14, "word": " minus", "probability": 0.56005859375}, {"start": 390.14, "end": 390.42, "word": " 10,", "probability": 0.70703125}, {"start": 390.56, "end": 390.74, "word": " the", "probability": 0.7373046875}, {"start": 390.74, "end": 391.38, "word": " first", "probability": 0.83251953125}, {"start": 391.38, "end": 391.4, "word": " picture", "probability": 0.48095703125}, {"start": 391.4, "end": 392.44, "word": " is", "probability": 0.75146484375}, {"start": 392.44, "end": 392.88, "word": " bigger", "probability": 0.609375}, {"start": 392.88, "end": 393.16, "word": " than", "probability": 0.8916015625}, {"start": 393.16, "end": 393.28, "word": " its", "probability": 0.331787109375}, {"start": 393.28, "end": 393.64, "word": " body", "probability": 0.640625}, {"start": 393.64, "end": 394.78, "word": " by", "probability": 0.265380859375}, {"start": 394.78, "end": 395.06, "word": " 10", "probability": 0.7314453125}, {"start": 395.06, "end": 395.46, "word": " times", "probability": 0.8076171875}, {"start": 395.46, "end": 395.78, "word": " and", "probability": 0.783203125}, {"start": 395.78, "end": 395.78, "word": " it", "probability": 0.22265625}, {"start": 395.78, "end": 395.78, "word": " is", "probability": 0.501953125}, {"start": 395.78, "end": 396.06, "word": " upside", "probability": 0.18359375}, {"start": 396.06, "end": 396.66, "word": " down", "probability": 0.796875}, {"start": 396.66, "end": 396.66, "word": " compared", "probability": 0.1751708984375}, {"start": 396.66, "end": 397.1, "word": " to", "probability": 0.96826171875}, {"start": 397.1, "end": 397.32, "word": " it", "probability": 0.439453125}, {"start": 397.32, "end": 397.52, "word": " and", "probability": 0.25048828125}, {"start": 397.52, "end": 397.64, "word": " it", "probability": 0.4306640625}, {"start": 397.64, "end": 397.64, "word": " is", "probability": 0.91064453125}, {"start": 397.64, "end": 397.76, "word": " upside", "probability": 0.77490234375}, {"start": 397.76, "end": 397.96, "word": " down", "probability": 0.87158203125}, {"start": 397.96, "end": 398.34, "word": " compared", "probability": 0.90185546875}, {"start": 398.34, "end": 398.92, "word": " to", "probability": 0.9716796875}, {"start": 398.92, "end": 399.18, "word": " it", "probability": 0.82568359375}, {"start": 399.18, "end": 399.8, "word": " we", "probability": 0.2076416015625}, {"start": 399.8, "end": 400.34, "word": " ..", "probability": 0.53076171875}, {"start": 400.34, "end": 400.8, "word": " the", "probability": 0.7275390625}, {"start": 400.8, "end": 400.8, "word": " ..", "probability": 0.5908203125}, {"start": 400.8, "end": 401.08, "word": " the", "probability": 0.87158203125}, {"start": 401.08, "end": 401.08, "word": " ..", "probability": 0.35546875}, {"start": 401.08, "end": 401.12, "word": " the", "probability": 0.849609375}, {"start": 401.12, "end": 401.4, "word": " view", "probability": 0.4853515625}, {"start": 401.4, "end": 401.56, "word": " is", "probability": 0.362060546875}, {"start": 401.56, "end": 401.8, "word": " supposed", "probability": 0.873046875}, {"start": 401.8, "end": 401.92, "word": " to", "probability": 0.9697265625}, {"start": 401.92, "end": 402.1, "word": " be", "probability": 0.9140625}, {"start": 402.1, "end": 402.38, "word": " handy", "probability": 0.640625}, {"start": 402.38, "end": 402.58, "word": " in", "probability": 0.36572265625}, {"start": 402.58, "end": 403.3, "word": " the", "probability": 0.80078125}, {"start": 403.3, "end": 403.36, "word": " following", "probability": 0.88818359375}, {"start": 403.36, "end": 403.46, "word": " way", "probability": 0.9111328125}, {"start": 403.46, "end": 412.0, "word": " when", "probability": 0.779296875}, {"start": 412.0, "end": 412.24, "word": " I", "probability": 0.90576171875}, {"start": 412.24, "end": 412.24, "word": " start", "probability": 0.634765625}, {"start": 412.24, "end": 412.6, "word": " dealing", "probability": 0.56005859375}, {"start": 412.6, "end": 412.8, "word": " with", "probability": 0.9013671875}, {"start": 412.8, "end": 413.08, "word": " each", "probability": 0.4501953125}, {"start": 413.08, "end": 413.48, "word": " lens", "probability": 0.66796875}, {"start": 413.48, "end": 413.76, "word": " one", "probability": 0.2318115234375}, {"start": 413.76, "end": 413.76, "word": " by", "probability": 0.84912109375}, {"start": 413.76, "end": 414.06, "word": " one", "probability": 0.9326171875}], "temperature": 1.0}, {"id": 17, "seek": 44149, "start": 429.25, "end": 441.49, "text": "It should look like what we see. It's one lens, one body and one image. Now that we're done with the first lens, we want to deal with the second lens.", "tokens": [3522, 820, 574, 411, 437, 321, 536, 13, 467, 311, 472, 6765, 11, 472, 1772, 293, 472, 3256, 13, 823, 300, 321, 434, 1096, 365, 264, 700, 6765, 11, 321, 528, 281, 2028, 365, 264, 1150, 6765, 13], "avg_logprob": -0.51322114161956, "compression_ratio": 1.3392857142857142, "no_speech_prob": 2.205371856689453e-06, "words": [{"start": 429.25, "end": 429.39, "word": "It", "probability": 0.03472900390625}, {"start": 429.39, "end": 429.53, "word": " should", "probability": 0.8154296875}, {"start": 429.53, "end": 429.89, "word": " look", "probability": 0.477294921875}, {"start": 429.89, "end": 430.65, "word": " like", "probability": 0.80859375}, {"start": 430.65, "end": 431.03, "word": " what", "probability": 0.302001953125}, {"start": 431.03, "end": 431.39, "word": " we", "probability": 0.80126953125}, {"start": 431.39, "end": 431.93, "word": " see.", "probability": 0.64892578125}, {"start": 432.09, "end": 432.23, "word": " It's", "probability": 0.39398193359375}, {"start": 432.23, "end": 432.31, "word": " one", "probability": 0.7890625}, {"start": 432.31, "end": 432.85, "word": " lens,", "probability": 0.7177734375}, {"start": 433.47, "end": 433.59, "word": " one", "probability": 0.88134765625}, {"start": 433.59, "end": 434.13, "word": " body", "probability": 0.7548828125}, {"start": 434.13, "end": 434.45, "word": " and", "probability": 0.56982421875}, {"start": 434.45, "end": 434.45, "word": " one", "probability": 0.92041015625}, {"start": 434.45, "end": 434.75, "word": " image.", "probability": 0.4560546875}, {"start": 435.51, "end": 435.77, "word": " Now", "probability": 0.75244140625}, {"start": 435.77, "end": 436.37, "word": " that", "probability": 0.39208984375}, {"start": 436.37, "end": 437.21, "word": " we're", "probability": 0.6629638671875}, {"start": 437.21, "end": 437.21, "word": " done", "probability": 0.87109375}, {"start": 437.21, "end": 437.39, "word": " with", "probability": 0.8720703125}, {"start": 437.39, "end": 437.51, "word": " the", "probability": 0.83740234375}, {"start": 437.51, "end": 438.07, "word": " first", "probability": 0.86376953125}, {"start": 438.07, "end": 438.07, "word": " lens,", "probability": 0.8759765625}, {"start": 438.25, "end": 438.27, "word": " we", "probability": 0.763671875}, {"start": 438.27, "end": 438.45, "word": " want", "probability": 0.1878662109375}, {"start": 438.45, "end": 440.03, "word": " to", "probability": 0.9697265625}, {"start": 440.03, "end": 440.45, "word": " deal", "probability": 0.4912109375}, {"start": 440.45, "end": 440.73, "word": " with", "probability": 0.89697265625}, {"start": 440.73, "end": 440.87, "word": " the", "probability": 0.9052734375}, {"start": 440.87, "end": 440.87, "word": " second", "probability": 0.81103515625}, {"start": 440.87, "end": 441.49, "word": " lens.", "probability": 0.85205078125}], "temperature": 1.0}, {"id": 18, "seek": 47604, "start": 449.18, "end": 476.04, "text": "this is my second lens and this is my body which is the first lens image but the light will come out divergent from the first lens towards the formation of an image towards the formation of an image this image before it catches up it becomes a real image because of the light because of the v in the plus", "tokens": [11176, 307, 452, 1150, 6765, 293, 341, 307, 452, 1772, 597, 307, 264, 700, 6765, 3256, 457, 264, 1442, 486, 808, 484, 18558, 6930, 490, 264, 700, 6765, 3030, 264, 11723, 295, 364, 3256, 3030, 264, 11723, 295, 364, 3256, 341, 3256, 949, 309, 25496, 493, 309, 3643, 257, 957, 3256, 570, 295, 264, 1442, 570, 295, 264, 371, 294, 264, 1804], "avg_logprob": -0.49528771733480786, "compression_ratio": 2.0, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 449.18, "end": 449.44, "word": "this", "probability": 0.1849365234375}, {"start": 449.44, "end": 449.56, "word": " is", "probability": 0.81787109375}, {"start": 449.56, "end": 449.94, "word": " my", "probability": 0.47021484375}, {"start": 449.94, "end": 449.98, "word": " second", "probability": 0.59326171875}, {"start": 449.98, "end": 450.28, "word": " lens", "probability": 0.564453125}, {"start": 450.28, "end": 451.54, "word": " and", "probability": 0.66455078125}, {"start": 451.54, "end": 451.76, "word": " this", "probability": 0.83935546875}, {"start": 451.76, "end": 451.78, "word": " is", "probability": 0.865234375}, {"start": 451.78, "end": 451.9, "word": " my", "probability": 0.486083984375}, {"start": 451.9, "end": 452.26, "word": " body", "probability": 0.72509765625}, {"start": 452.26, "end": 453.22, "word": " which", "probability": 0.48876953125}, {"start": 453.22, "end": 453.42, "word": " is", "probability": 0.9111328125}, {"start": 453.42, "end": 453.44, "word": " the", "probability": 0.59814453125}, {"start": 453.44, "end": 453.68, "word": " first", "probability": 0.48291015625}, {"start": 453.68, "end": 454.18, "word": " lens", "probability": 0.759765625}, {"start": 454.18, "end": 454.38, "word": " image", "probability": 0.380615234375}, {"start": 454.38, "end": 455.4, "word": " but", "probability": 0.486328125}, {"start": 455.4, "end": 455.86, "word": " the", "probability": 0.5732421875}, {"start": 455.86, "end": 456.12, "word": " light", "probability": 0.86328125}, {"start": 456.12, "end": 456.46, "word": " will", "probability": 0.70166015625}, {"start": 456.46, "end": 456.82, "word": " come", "probability": 0.21630859375}, {"start": 456.82, "end": 456.88, "word": " out", "probability": 0.4248046875}, {"start": 456.88, "end": 457.94, "word": " divergent", "probability": 0.7578125}, {"start": 457.94, "end": 458.62, "word": " from", "probability": 0.8115234375}, {"start": 458.62, "end": 458.76, "word": " the", "probability": 0.88330078125}, {"start": 458.76, "end": 459.5, "word": " first", "probability": 0.84228515625}, {"start": 459.5, "end": 459.56, "word": " lens", "probability": 0.90234375}, {"start": 459.56, "end": 462.04, "word": " towards", "probability": 0.462158203125}, {"start": 462.04, "end": 462.86, "word": " the", "probability": 0.28173828125}, {"start": 462.86, "end": 462.86, "word": " formation", "probability": 0.26416015625}, {"start": 462.86, "end": 462.94, "word": " of", "probability": 0.9677734375}, {"start": 462.94, "end": 463.5, "word": " an", "probability": 0.43798828125}, {"start": 463.5, "end": 463.5, "word": " image", "probability": 0.91259765625}, {"start": 463.5, "end": 468.12, "word": " towards", "probability": 0.6455078125}, {"start": 468.12, "end": 468.48, "word": " the", "probability": 0.779296875}, {"start": 468.48, "end": 468.62, "word": " formation", "probability": 0.9755859375}, {"start": 468.62, "end": 468.7, "word": " of", "probability": 0.9716796875}, {"start": 468.7, "end": 469.1, "word": " an", "probability": 0.9169921875}, {"start": 469.1, "end": 469.1, "word": " image", "probability": 0.93896484375}, {"start": 469.1, "end": 470.0, "word": " this", "probability": 0.61962890625}, {"start": 470.0, "end": 470.5, "word": " image", "probability": 0.771484375}, {"start": 470.5, "end": 471.7, "word": " before", "probability": 0.76904296875}, {"start": 471.7, "end": 472.06, "word": " it", "probability": 0.76220703125}, {"start": 472.06, "end": 472.22, "word": " catches", "probability": 0.1336669921875}, {"start": 472.22, "end": 472.34, "word": " up", "probability": 0.52978515625}, {"start": 472.34, "end": 472.44, "word": " it", "probability": 0.29052734375}, {"start": 472.44, "end": 472.8, "word": " becomes", "probability": 0.35009765625}, {"start": 472.8, "end": 473.12, "word": " a", "probability": 0.9033203125}, {"start": 473.12, "end": 473.68, "word": " real", "probability": 0.779296875}, {"start": 473.68, "end": 473.76, "word": " image", "probability": 0.689453125}, {"start": 473.76, "end": 474.14, "word": " because", "probability": 0.85693359375}, {"start": 474.14, "end": 474.6, "word": " of", "probability": 0.78759765625}, {"start": 474.6, "end": 474.7, "word": " the", "probability": 0.751953125}, {"start": 474.7, "end": 474.9, "word": " light", "probability": 0.7744140625}, {"start": 474.9, "end": 475.14, "word": " because", "probability": 0.65869140625}, {"start": 475.14, "end": 475.26, "word": " of", "probability": 0.89208984375}, {"start": 475.26, "end": 475.32, "word": " the", "probability": 0.59033203125}, {"start": 475.32, "end": 475.46, "word": " v", "probability": 0.384765625}, {"start": 475.46, "end": 475.62, "word": " in", "probability": 0.58837890625}, {"start": 475.62, "end": 475.68, "word": " the", "probability": 0.478271484375}, {"start": 475.68, "end": 476.04, "word": " plus", "probability": 0.46142578125}], "temperature": 1.0}, {"id": 19, "seek": 49745, "start": 478.67, "end": 497.45, "text": "because the V is in the plus sign Before it was formed here, it collided in the surface of the other lens and it is convergent So as long as it is convergent, then the U is in the plus sign, so the body of this lens is virtual Why virtual? Because the real body is always", "tokens": [17566, 264, 691, 307, 294, 264, 1804, 1465, 4546, 309, 390, 8693, 510, 11, 309, 1263, 2112, 294, 264, 3753, 295, 264, 661, 6765, 293, 309, 307, 9652, 6930, 407, 382, 938, 382, 309, 307, 9652, 6930, 11, 550, 264, 624, 307, 294, 264, 1804, 1465, 11, 370, 264, 1772, 295, 341, 6765, 307, 6374, 1545, 6374, 30, 1436, 264, 957, 1772, 307, 1009], "avg_logprob": -0.4420673076923077, "compression_ratio": 1.69375, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 478.67, "end": 479.07, "word": "because", "probability": 0.6474609375}, {"start": 479.07, "end": 479.27, "word": " the", "probability": 0.38623046875}, {"start": 479.27, "end": 479.45, "word": " V", "probability": 0.64453125}, {"start": 479.45, "end": 479.59, "word": " is", "probability": 0.36767578125}, {"start": 479.59, "end": 479.59, "word": " in", "probability": 0.489013671875}, {"start": 479.59, "end": 479.69, "word": " the", "probability": 0.455810546875}, {"start": 479.69, "end": 480.09, "word": " plus", "probability": 0.461669921875}, {"start": 480.09, "end": 481.55, "word": " sign", "probability": 0.25341796875}, {"start": 481.55, "end": 482.25, "word": " Before", "probability": 0.5244140625}, {"start": 482.25, "end": 482.55, "word": " it", "probability": 0.1812744140625}, {"start": 482.55, "end": 482.67, "word": " was", "probability": 0.12445068359375}, {"start": 482.67, "end": 483.25, "word": " formed", "probability": 0.59912109375}, {"start": 483.25, "end": 483.71, "word": " here,", "probability": 0.7822265625}, {"start": 484.41, "end": 484.43, "word": " it", "probability": 0.89794921875}, {"start": 484.43, "end": 484.91, "word": " collided", "probability": 0.56268310546875}, {"start": 484.91, "end": 485.17, "word": " in", "probability": 0.33935546875}, {"start": 485.17, "end": 485.27, "word": " the", "probability": 0.87109375}, {"start": 485.27, "end": 485.43, "word": " surface", "probability": 0.47412109375}, {"start": 485.43, "end": 485.59, "word": " of", "probability": 0.96533203125}, {"start": 485.59, "end": 485.65, "word": " the", "probability": 0.8662109375}, {"start": 485.65, "end": 486.41, "word": " other", "probability": 0.59619140625}, {"start": 486.41, "end": 486.45, "word": " lens", "probability": 0.83935546875}, {"start": 486.45, "end": 486.87, "word": " and", "probability": 0.60888671875}, {"start": 486.87, "end": 487.07, "word": " it", "probability": 0.70263671875}, {"start": 487.07, "end": 487.27, "word": " is", "probability": 0.2496337890625}, {"start": 487.27, "end": 488.01, "word": " convergent", "probability": 0.96044921875}, {"start": 488.01, "end": 488.37, "word": " So", "probability": 0.411376953125}, {"start": 488.37, "end": 488.87, "word": " as", "probability": 0.60009765625}, {"start": 488.87, "end": 488.89, "word": " long", "probability": 0.92041015625}, {"start": 488.89, "end": 488.97, "word": " as", "probability": 0.96240234375}, {"start": 488.97, "end": 489.11, "word": " it", "probability": 0.90771484375}, {"start": 489.11, "end": 489.15, "word": " is", "probability": 0.8271484375}, {"start": 489.15, "end": 489.85, "word": " convergent,", "probability": 0.98193359375}, {"start": 490.07, "end": 490.25, "word": " then", "probability": 0.56201171875}, {"start": 490.25, "end": 490.39, "word": " the", "probability": 0.74365234375}, {"start": 490.39, "end": 490.69, "word": " U", "probability": 0.9384765625}, {"start": 490.69, "end": 490.83, "word": " is", "probability": 0.478759765625}, {"start": 490.83, "end": 490.87, "word": " in", "probability": 0.9033203125}, {"start": 490.87, "end": 490.97, "word": " the", "probability": 0.86181640625}, {"start": 490.97, "end": 491.29, "word": " plus", "probability": 0.931640625}, {"start": 491.29, "end": 491.31, "word": " sign,", "probability": 0.67724609375}, {"start": 491.49, "end": 491.57, "word": " so", "probability": 0.4521484375}, {"start": 491.57, "end": 491.81, "word": " the", "probability": 0.82470703125}, {"start": 491.81, "end": 492.11, "word": " body", "probability": 0.432861328125}, {"start": 492.11, "end": 492.45, "word": " of", "probability": 0.94580078125}, {"start": 492.45, "end": 492.81, "word": " this", "probability": 0.90380859375}, {"start": 492.81, "end": 493.19, "word": " lens", "probability": 0.87255859375}, {"start": 493.19, "end": 493.39, "word": " is", "probability": 0.93115234375}, {"start": 493.39, "end": 493.77, "word": " virtual", "probability": 0.90380859375}, {"start": 493.77, "end": 494.55, "word": " Why", "probability": 0.71533203125}, {"start": 494.55, "end": 494.99, "word": " virtual?", "probability": 0.7216796875}, {"start": 495.49, "end": 495.81, "word": " Because", "probability": 0.8583984375}, {"start": 495.81, "end": 496.07, "word": " the", "probability": 0.85693359375}, {"start": 496.07, "end": 496.11, "word": " real", "probability": 0.85498046875}, {"start": 496.11, "end": 496.93, "word": " body", "probability": 0.8544921875}, {"start": 496.93, "end": 497.09, "word": " is", "probability": 0.60986328125}, {"start": 497.09, "end": 497.45, "word": " always", "probability": 0.88623046875}], "temperature": 1.0}, {"id": 20, "seek": 51333, "start": 498.13, "end": 513.33, "text": "Always, whether it's a real thing or a picture taken by a divergent light, if it reaches the surface in front of the lens, a divergent light, then the object is real, this lens If it reaches a convergent light, then the object of this lens", "tokens": [9171, 942, 11, 1968, 309, 311, 257, 957, 551, 420, 257, 3036, 2726, 538, 257, 18558, 6930, 1442, 11, 498, 309, 14235, 264, 3753, 294, 1868, 295, 264, 6765, 11, 257, 18558, 6930, 1442, 11, 550, 264, 2657, 307, 957, 11, 341, 6765, 759, 309, 14235, 257, 9652, 6930, 1442, 11, 550, 264, 2657, 295, 341, 6765], "avg_logprob": -0.4663254387419799, "compression_ratio": 1.7318840579710144, "no_speech_prob": 2.1457672119140625e-06, "words": [{"start": 498.13, "end": 498.61, "word": "Always,", "probability": 0.54315185546875}, {"start": 498.79, "end": 498.85, "word": " whether", "probability": 0.74169921875}, {"start": 498.85, "end": 499.01, "word": " it's", "probability": 0.606689453125}, {"start": 499.01, "end": 499.37, "word": " a", "probability": 0.41015625}, {"start": 499.37, "end": 499.59, "word": " real", "probability": 0.8193359375}, {"start": 499.59, "end": 499.79, "word": " thing", "probability": 0.25048828125}, {"start": 499.79, "end": 500.07, "word": " or", "probability": 0.7822265625}, {"start": 500.07, "end": 500.21, "word": " a", "probability": 0.79345703125}, {"start": 500.21, "end": 500.47, "word": " picture", "probability": 0.5810546875}, {"start": 500.47, "end": 500.85, "word": " taken", "probability": 0.09954833984375}, {"start": 500.85, "end": 501.09, "word": " by", "probability": 0.5087890625}, {"start": 501.09, "end": 501.21, "word": " a", "probability": 0.384765625}, {"start": 501.21, "end": 502.19, "word": " divergent", "probability": 0.844482421875}, {"start": 502.19, "end": 502.19, "word": " light,", "probability": 0.84765625}, {"start": 502.77, "end": 503.01, "word": " if", "probability": 0.90283203125}, {"start": 503.01, "end": 503.37, "word": " it", "probability": 0.71484375}, {"start": 503.37, "end": 503.79, "word": " reaches", "probability": 0.73583984375}, {"start": 503.79, "end": 504.07, "word": " the", "probability": 0.76025390625}, {"start": 504.07, "end": 504.37, "word": " surface", "probability": 0.3017578125}, {"start": 504.37, "end": 504.55, "word": " in", "probability": 0.365966796875}, {"start": 504.55, "end": 504.99, "word": " front", "probability": 0.9365234375}, {"start": 504.99, "end": 505.25, "word": " of", "probability": 0.95654296875}, {"start": 505.25, "end": 505.43, "word": " the", "probability": 0.84716796875}, {"start": 505.43, "end": 505.79, "word": " lens,", "probability": 0.6181640625}, {"start": 505.95, "end": 505.99, "word": " a", "probability": 0.60205078125}, {"start": 505.99, "end": 506.87, "word": " divergent", "probability": 0.93359375}, {"start": 506.87, "end": 506.87, "word": " light,", "probability": 0.8701171875}, {"start": 507.03, "end": 507.09, "word": " then", "probability": 0.7314453125}, {"start": 507.09, "end": 507.21, "word": " the", "probability": 0.60302734375}, {"start": 507.21, "end": 507.43, "word": " object", "probability": 0.58544921875}, {"start": 507.43, "end": 507.89, "word": " is", "probability": 0.509765625}, {"start": 507.89, "end": 508.35, "word": " real,", "probability": 0.83837890625}, {"start": 508.71, "end": 509.05, "word": " this", "probability": 0.45263671875}, {"start": 509.05, "end": 509.51, "word": " lens", "probability": 0.8447265625}, {"start": 509.51, "end": 510.31, "word": " If", "probability": 0.372314453125}, {"start": 510.31, "end": 510.53, "word": " it", "probability": 0.9228515625}, {"start": 510.53, "end": 510.77, "word": " reaches", "probability": 0.7744140625}, {"start": 510.77, "end": 510.93, "word": " a", "probability": 0.480712890625}, {"start": 510.93, "end": 511.61, "word": " convergent", "probability": 0.921630859375}, {"start": 511.61, "end": 511.65, "word": " light,", "probability": 0.333740234375}, {"start": 511.79, "end": 511.85, "word": " then", "probability": 0.822265625}, {"start": 511.85, "end": 511.97, "word": " the", "probability": 0.64501953125}, {"start": 511.97, "end": 512.29, "word": " object", "probability": 0.90673828125}, {"start": 512.29, "end": 512.63, "word": " of", "probability": 0.80908203125}, {"start": 512.63, "end": 512.87, "word": " this", "probability": 0.90185546875}, {"start": 512.87, "end": 513.33, "word": " lens", "probability": 0.85888671875}], "temperature": 1.0}, {"id": 21, "seek": 53322, "start": 514.7, "end": 533.22, "text": "So the light will reach the front of the lens convergent from this body", "tokens": [6455, 264, 1442, 486, 2524, 264, 1868, 295, 264, 6765, 9652, 6930, 490, 341, 1772], "avg_logprob": -0.6938476301729679, "compression_ratio": 1.0597014925373134, "no_speech_prob": 0.6796875, "words": [{"start": 514.6999999999999, "end": 515.66, "word": "So", "probability": 0.07958984375}, {"start": 515.66, "end": 516.58, "word": " the", "probability": 0.470458984375}, {"start": 516.58, "end": 516.82, "word": " light", "probability": 0.818359375}, {"start": 516.82, "end": 517.24, "word": " will", "probability": 0.7275390625}, {"start": 517.24, "end": 517.56, "word": " reach", "probability": 0.62548828125}, {"start": 517.56, "end": 520.98, "word": " the", "probability": 0.43408203125}, {"start": 520.98, "end": 521.38, "word": " front", "probability": 0.2025146484375}, {"start": 521.38, "end": 521.38, "word": " of", "probability": 0.5966796875}, {"start": 521.38, "end": 529.64, "word": " the", "probability": 0.8779296875}, {"start": 529.64, "end": 530.02, "word": " lens", "probability": 0.391357421875}, {"start": 530.02, "end": 531.8, "word": " convergent", "probability": 0.71484375}, {"start": 531.8, "end": 532.06, "word": " from", "probability": 0.6123046875}, {"start": 532.06, "end": 532.74, "word": " this", "probability": 0.68408203125}, {"start": 532.74, "end": 533.22, "word": " body", "probability": 0.5478515625}], "temperature": 1.0}, {"id": 22, "seek": 57165, "start": 544.43, "end": 571.65, "text": "one plus one equals plus one over one why plus? because the light is convergent it will clash on the surface, this is convergent and not divergent and when the light is convergent, we give it a plus sign and when it is divergent, we give it a minus sign we say plus one over the distance of the object how much? the object of the lens will have a distance of how much?", "tokens": [546, 1804, 472, 6915, 1804, 472, 670, 472, 983, 1804, 30, 570, 264, 1442, 307, 9652, 6930, 309, 486, 36508, 322, 264, 3753, 11, 341, 307, 9652, 6930, 293, 406, 18558, 6930, 293, 562, 264, 1442, 307, 9652, 6930, 11, 321, 976, 309, 257, 1804, 1465, 293, 562, 309, 307, 18558, 6930, 11, 321, 976, 309, 257, 3175, 1465, 321, 584, 1804, 472, 670, 264, 4560, 295, 264, 2657, 577, 709, 30, 264, 2657, 295, 264, 6765, 486, 362, 257, 4560, 295, 577, 709, 30], "avg_logprob": -0.46002906075743744, "compression_ratio": 2.152046783625731, "no_speech_prob": 1.1920928955078125e-06, "words": [{"start": 544.43, "end": 544.91, "word": "one", "probability": 0.0732421875}, {"start": 544.91, "end": 544.93, "word": " plus", "probability": 0.28125}, {"start": 544.93, "end": 544.93, "word": " one", "probability": 0.791015625}, {"start": 544.93, "end": 544.93, "word": " equals", "probability": 0.361572265625}, {"start": 544.93, "end": 546.97, "word": " plus", "probability": 0.359130859375}, {"start": 546.97, "end": 548.57, "word": " one", "probability": 0.79931640625}, {"start": 548.57, "end": 548.83, "word": " over", "probability": 0.6171875}, {"start": 548.83, "end": 549.11, "word": " one", "probability": 0.9404296875}, {"start": 549.11, "end": 550.07, "word": " why", "probability": 0.318359375}, {"start": 550.07, "end": 550.49, "word": " plus?", "probability": 0.6591796875}, {"start": 551.07, "end": 551.55, "word": " because", "probability": 0.7880859375}, {"start": 551.55, "end": 551.85, "word": " the", "probability": 0.333251953125}, {"start": 551.85, "end": 551.97, "word": " light", "probability": 0.68017578125}, {"start": 551.97, "end": 552.29, "word": " is", "probability": 0.857421875}, {"start": 552.29, "end": 553.03, "word": " convergent", "probability": 0.94580078125}, {"start": 553.03, "end": 553.85, "word": " it", "probability": 0.45703125}, {"start": 553.85, "end": 554.01, "word": " will", "probability": 0.62841796875}, {"start": 554.01, "end": 554.39, "word": " clash", "probability": 0.29443359375}, {"start": 554.39, "end": 554.55, "word": " on", "probability": 0.346435546875}, {"start": 554.55, "end": 554.69, "word": " the", "probability": 0.8955078125}, {"start": 554.69, "end": 554.93, "word": " surface,", "probability": 0.6103515625}, {"start": 555.11, "end": 555.17, "word": " this", "probability": 0.30859375}, {"start": 555.17, "end": 555.19, "word": " is", "probability": 0.92333984375}, {"start": 555.19, "end": 555.83, "word": " convergent", "probability": 0.94482421875}, {"start": 555.83, "end": 555.97, "word": " and", "probability": 0.408447265625}, {"start": 555.97, "end": 556.23, "word": " not", "probability": 0.92333984375}, {"start": 556.23, "end": 556.97, "word": " divergent", "probability": 0.8212890625}, {"start": 556.97, "end": 557.37, "word": " and", "probability": 0.56689453125}, {"start": 557.37, "end": 557.51, "word": " when", "probability": 0.4384765625}, {"start": 557.51, "end": 557.51, "word": " the", "probability": 0.485107421875}, {"start": 557.51, "end": 557.61, "word": " light", "probability": 0.85546875}, {"start": 557.61, "end": 558.25, "word": " is", "probability": 0.91796875}, {"start": 558.25, "end": 559.03, "word": " convergent,", "probability": 0.963134765625}, {"start": 559.13, "end": 559.19, "word": " we", "probability": 0.63916015625}, {"start": 559.19, "end": 559.37, "word": " give", "probability": 0.8017578125}, {"start": 559.37, "end": 559.51, "word": " it", "probability": 0.875}, {"start": 559.51, "end": 559.63, "word": " a", "probability": 0.8994140625}, {"start": 559.63, "end": 560.17, "word": " plus", "probability": 0.68505859375}, {"start": 560.17, "end": 560.17, "word": " sign", "probability": 0.8291015625}, {"start": 560.17, "end": 560.41, "word": " and", "probability": 0.66259765625}, {"start": 560.41, "end": 560.57, "word": " when", "probability": 0.91015625}, {"start": 560.57, "end": 560.67, "word": " it", "probability": 0.8681640625}, {"start": 560.67, "end": 560.89, "word": " is", "probability": 0.74951171875}, {"start": 560.89, "end": 561.49, "word": " divergent,", "probability": 0.92822265625}, {"start": 561.65, "end": 561.65, "word": " we", "probability": 0.91650390625}, {"start": 561.65, "end": 561.79, "word": " give", "probability": 0.8603515625}, {"start": 561.79, "end": 561.95, "word": " it", "probability": 0.91845703125}, {"start": 561.95, "end": 562.03, "word": " a", "probability": 0.78662109375}, {"start": 562.03, "end": 562.73, "word": " minus", "probability": 0.69775390625}, {"start": 562.73, "end": 562.89, "word": " sign", "probability": 0.89501953125}, {"start": 562.89, "end": 563.45, "word": " we", "probability": 0.6845703125}, {"start": 563.45, "end": 563.65, "word": " say", "probability": 0.861328125}, {"start": 563.65, "end": 564.33, "word": " plus", "probability": 0.6474609375}, {"start": 564.33, "end": 565.53, "word": " one", "probability": 0.93359375}, {"start": 565.53, "end": 566.41, "word": " over", "probability": 0.72265625}, {"start": 566.41, "end": 567.37, "word": " the", "probability": 0.64208984375}, {"start": 567.37, "end": 568.07, "word": " distance", "probability": 0.1798095703125}, {"start": 568.07, "end": 568.19, "word": " of", "probability": 0.67333984375}, {"start": 568.19, "end": 568.39, "word": " the", "probability": 0.71923828125}, {"start": 568.39, "end": 568.39, "word": " object", "probability": 0.93896484375}, {"start": 568.39, "end": 568.39, "word": " how", "probability": 0.242919921875}, {"start": 568.39, "end": 568.77, "word": " much?", "probability": 0.71630859375}, {"start": 569.19, "end": 569.25, "word": " the", "probability": 0.62841796875}, {"start": 569.25, "end": 569.49, "word": " object", "probability": 0.53662109375}, {"start": 569.49, "end": 569.75, "word": " of", "probability": 0.87353515625}, {"start": 569.75, "end": 569.83, "word": " the", "probability": 0.82958984375}, {"start": 569.83, "end": 570.03, "word": " lens", "probability": 0.6806640625}, {"start": 570.03, "end": 570.27, "word": " will", "probability": 0.1329345703125}, {"start": 570.27, "end": 570.47, "word": " have", "probability": 0.5556640625}, {"start": 570.47, "end": 570.87, "word": " a", "probability": 0.360595703125}, {"start": 570.87, "end": 571.17, "word": " distance", "probability": 0.56005859375}, {"start": 571.17, "end": 571.37, "word": " of", "probability": 0.486572265625}, {"start": 571.37, "end": 571.51, "word": " how", "probability": 0.58349609375}, {"start": 571.51, "end": 571.65, "word": " much?", "probability": 0.7822265625}], "temperature": 1.0}, {"id": 23, "seek": 59902, "start": 572.3, "end": 599.02, "text": " one meter plus one meter y equals plus one diopter plus one diopter", "tokens": [472, 9255, 1804, 472, 9255, 288, 6915, 1804, 472, 1026, 404, 391, 1804, 472, 1026, 404, 391], "avg_logprob": -0.4157985995213191, "compression_ratio": 1.5813953488372092, "no_speech_prob": 0.0, "words": [{"start": 572.3, "end": 572.84, "word": " one", "probability": 0.1993408203125}, {"start": 572.84, "end": 573.26, "word": " meter", "probability": 0.81689453125}, {"start": 573.26, "end": 573.74, "word": " plus", "probability": 0.60498046875}, {"start": 573.74, "end": 574.36, "word": " one", "probability": 0.92626953125}, {"start": 574.36, "end": 575.52, "word": " meter", "probability": 0.88916015625}, {"start": 575.52, "end": 586.12, "word": " y", "probability": 0.1937255859375}, {"start": 586.12, "end": 586.64, "word": " equals", "probability": 0.50341796875}, {"start": 586.64, "end": 594.9, "word": " plus", "probability": 0.365234375}, {"start": 594.9, "end": 595.56, "word": " one", "probability": 0.92431640625}, {"start": 595.56, "end": 596.22, "word": " diopter", "probability": 0.8232421875}, {"start": 596.22, "end": 596.82, "word": " plus", "probability": 0.71875}, {"start": 596.82, "end": 597.44, "word": " one", "probability": 0.92919921875}, {"start": 597.44, "end": 599.02, "word": " diopter", "probability": 0.955078125}], "temperature": 1.0}, {"id": 24, "seek": 62830, "start": 600.31, "end": 628.31, "text": "So, U plus one diode The front surface of the lens will light up by collecting one diode The lens will find a collector and will put its power with it The collector of the light will increase in its collection So, according to the thin lens equation", "tokens": [6455, 11, 624, 1804, 472, 1026, 378, 68, 440, 1868, 3753, 295, 264, 6765, 486, 1442, 493, 538, 12510, 472, 40787, 440, 6765, 486, 915, 257, 1263, 20814, 293, 486, 829, 1080, 1347, 365, 309, 440, 1263, 20814, 295, 264, 1442, 486, 3488, 294, 1080, 1263, 10183, 407, 11, 4650, 281, 264, 5862, 6765, 5367], "avg_logprob": -0.6501116018210139, "compression_ratio": 1.7054794520547945, "no_speech_prob": 0.0, "words": [{"start": 600.31, "end": 600.75, "word": "So,", "probability": 0.46484375}, {"start": 600.93, "end": 601.33, "word": " U", "probability": 0.34765625}, {"start": 601.33, "end": 601.95, "word": " plus", "probability": 0.26220703125}, {"start": 601.95, "end": 602.57, "word": " one", "probability": 0.5361328125}, {"start": 602.57, "end": 603.93, "word": " diode", "probability": 0.4776204427083333}, {"start": 603.93, "end": 611.97, "word": " The", "probability": 0.59033203125}, {"start": 611.97, "end": 612.57, "word": " front", "probability": 0.6455078125}, {"start": 612.57, "end": 612.61, "word": " surface", "probability": 0.447021484375}, {"start": 612.61, "end": 612.79, "word": " of", "probability": 0.890625}, {"start": 612.79, "end": 612.93, "word": " the", "probability": 0.875}, {"start": 612.93, "end": 613.21, "word": " lens", "probability": 0.6455078125}, {"start": 613.21, "end": 613.49, "word": " will", "probability": 0.7236328125}, {"start": 613.49, "end": 614.59, "word": " light", "probability": 0.1417236328125}, {"start": 614.59, "end": 615.27, "word": " up", "probability": 0.5146484375}, {"start": 615.27, "end": 615.27, "word": " by", "probability": 0.1744384765625}, {"start": 615.27, "end": 615.85, "word": " collecting", "probability": 0.1435546875}, {"start": 615.85, "end": 616.81, "word": " one", "probability": 0.61865234375}, {"start": 616.81, "end": 617.49, "word": " diode", "probability": 0.67822265625}, {"start": 617.49, "end": 618.33, "word": " The", "probability": 0.50439453125}, {"start": 618.33, "end": 618.75, "word": " lens", "probability": 0.65185546875}, {"start": 618.75, "end": 619.77, "word": " will", "probability": 0.7509765625}, {"start": 619.77, "end": 620.01, "word": " find", "probability": 0.3671875}, {"start": 620.01, "end": 620.19, "word": " a", "probability": 0.630859375}, {"start": 620.19, "end": 620.67, "word": " collector", "probability": 0.54595947265625}, {"start": 620.67, "end": 620.95, "word": " and", "probability": 0.270263671875}, {"start": 620.95, "end": 621.09, "word": " will", "probability": 0.33935546875}, {"start": 621.09, "end": 621.45, "word": " put", "probability": 0.310302734375}, {"start": 621.45, "end": 621.55, "word": " its", "probability": 0.7099609375}, {"start": 621.55, "end": 621.85, "word": " power", "probability": 0.399169921875}, {"start": 621.85, "end": 622.27, "word": " with", "probability": 0.7138671875}, {"start": 622.27, "end": 623.01, "word": " it", "probability": 0.67041015625}, {"start": 623.01, "end": 623.45, "word": " The", "probability": 0.7392578125}, {"start": 623.45, "end": 623.81, "word": " collector", "probability": 0.410400390625}, {"start": 623.81, "end": 624.09, "word": " of", "probability": 0.69580078125}, {"start": 624.09, "end": 624.25, "word": " the", "probability": 0.480712890625}, {"start": 624.25, "end": 624.33, "word": " light", "probability": 0.8603515625}, {"start": 624.33, "end": 624.65, "word": " will", "probability": 0.78466796875}, {"start": 624.65, "end": 624.91, "word": " increase", "probability": 0.7822265625}, {"start": 624.91, "end": 625.03, "word": " in", "probability": 0.66259765625}, {"start": 625.03, "end": 625.21, "word": " its", "probability": 0.64501953125}, {"start": 625.21, "end": 625.61, "word": " collection", "probability": 0.5447998046875}, {"start": 625.61, "end": 626.13, "word": " So,", "probability": 0.260498046875}, {"start": 626.75, "end": 626.89, "word": " according", "probability": 0.669921875}, {"start": 626.89, "end": 627.01, "word": " to", "probability": 0.96630859375}, {"start": 627.01, "end": 627.15, "word": " the", "probability": 0.7724609375}, {"start": 627.15, "end": 627.37, "word": " thin", "probability": 0.63037109375}, {"start": 627.37, "end": 627.69, "word": " lens", "probability": 0.91845703125}, {"start": 627.69, "end": 628.31, "word": " equation", "probability": 0.95654296875}], "temperature": 1.0}, {"id": 25, "seek": 63310, "start": 629.3, "end": 633.1, "text": "u plus power equals v", "tokens": [84, 1804, 1347, 6915, 371], "avg_logprob": -0.6546224157015482, "compression_ratio": 0.7241379310344828, "no_speech_prob": 4.947185516357422e-06, "words": [{"start": 629.3, "end": 629.82, "word": "u", "probability": 0.447998046875}, {"start": 629.82, "end": 630.78, "word": " plus", "probability": 0.0662841796875}, {"start": 630.78, "end": 631.46, "word": " power", "probability": 0.7001953125}, {"start": 631.46, "end": 632.16, "word": " equals", "probability": 0.630859375}, {"start": 632.16, "end": 633.1, "word": " v", "probability": 0.63818359375}], "temperature": 1.0}, {"id": 26, "seek": 65974, "start": 634.26, "end": 659.74, "text": "the u plus one diopter plus the power one diopter equals v so v equals plus two diopters plus two diopters v equals plus two diopters now we have to write the back side of the lens that the light was inside the one diopter cluster and came out of the two diopters cluster", "tokens": [3322, 344, 1804, 472, 1026, 404, 391, 1804, 264, 1347, 472, 1026, 404, 391, 6915, 371, 370, 371, 6915, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 371, 6915, 1804, 732, 1026, 404, 1559, 586, 321, 362, 281, 2464, 264, 646, 1252, 295, 264, 6765, 300, 264, 1442, 390, 1854, 264, 472, 1026, 404, 391, 13630, 293, 1361, 484, 295, 264, 732, 1026, 404, 1559, 13630], "avg_logprob": -0.38292572636535205, "compression_ratio": 2.1171875, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 634.26, "end": 634.52, "word": "the", "probability": 0.1474609375}, {"start": 634.52, "end": 634.68, "word": " u", "probability": 0.495849609375}, {"start": 634.68, "end": 635.02, "word": " plus", "probability": 0.257080078125}, {"start": 635.02, "end": 635.42, "word": " one", "probability": 0.6455078125}, {"start": 635.42, "end": 636.0, "word": " diopter", "probability": 0.8277994791666666}, {"start": 636.0, "end": 636.96, "word": " plus", "probability": 0.703125}, {"start": 636.96, "end": 637.28, "word": " the", "probability": 0.51904296875}, {"start": 637.28, "end": 637.58, "word": " power", "probability": 0.8681640625}, {"start": 637.58, "end": 637.92, "word": " one", "probability": 0.58984375}, {"start": 637.92, "end": 638.68, "word": " diopter", "probability": 0.9427083333333334}, {"start": 638.68, "end": 639.78, "word": " equals", "probability": 0.619140625}, {"start": 639.78, "end": 640.94, "word": " v", "probability": 0.505859375}, {"start": 640.94, "end": 641.6, "word": " so", "probability": 0.221923828125}, {"start": 641.6, "end": 642.02, "word": " v", "probability": 0.8388671875}, {"start": 642.02, "end": 643.2, "word": " equals", "probability": 0.845703125}, {"start": 643.2, "end": 644.36, "word": " plus", "probability": 0.736328125}, {"start": 644.36, "end": 644.86, "word": " two", "probability": 0.92138671875}, {"start": 644.86, "end": 645.64, "word": " diopters", "probability": 0.8880208333333334}, {"start": 645.64, "end": 646.12, "word": " plus", "probability": 0.53466796875}, {"start": 646.12, "end": 646.56, "word": " two", "probability": 0.93408203125}, {"start": 646.56, "end": 647.16, "word": " diopters", "probability": 0.9524739583333334}, {"start": 647.16, "end": 647.88, "word": " v", "probability": 0.65625}, {"start": 647.88, "end": 648.4, "word": " equals", "probability": 0.9296875}, {"start": 648.4, "end": 648.82, "word": " plus", "probability": 0.9150390625}, {"start": 648.82, "end": 649.24, "word": " two", "probability": 0.94189453125}, {"start": 649.24, "end": 649.9, "word": " diopters", "probability": 0.9637044270833334}, {"start": 649.9, "end": 650.6, "word": " now", "probability": 0.7001953125}, {"start": 650.6, "end": 650.8, "word": " we", "probability": 0.88671875}, {"start": 650.8, "end": 650.92, "word": " have", "probability": 0.33984375}, {"start": 650.92, "end": 651.52, "word": " to", "probability": 0.97119140625}, {"start": 651.52, "end": 651.86, "word": " write", "probability": 0.86865234375}, {"start": 651.86, "end": 652.42, "word": " the", "probability": 0.73291015625}, {"start": 652.42, "end": 652.62, "word": " back", "probability": 0.22216796875}, {"start": 652.62, "end": 652.78, "word": " side", "probability": 0.27587890625}, {"start": 652.78, "end": 653.26, "word": " of", "probability": 0.9306640625}, {"start": 653.26, "end": 653.36, "word": " the", "probability": 0.8837890625}, {"start": 653.36, "end": 653.64, "word": " lens", "probability": 0.29541015625}, {"start": 653.64, "end": 653.9, "word": " that", "probability": 0.496337890625}, {"start": 653.9, "end": 654.06, "word": " the", "probability": 0.381103515625}, {"start": 654.06, "end": 654.26, "word": " light", "probability": 0.798828125}, {"start": 654.26, "end": 654.66, "word": " was", "probability": 0.6240234375}, {"start": 654.66, "end": 655.78, "word": " inside", "probability": 0.82861328125}, {"start": 655.78, "end": 656.16, "word": " the", "probability": 0.58544921875}, {"start": 656.16, "end": 656.86, "word": " one", "probability": 0.21728515625}, {"start": 656.86, "end": 657.6, "word": " diopter", "probability": 0.8689778645833334}, {"start": 657.6, "end": 657.6, "word": " cluster", "probability": 0.340087890625}, {"start": 657.6, "end": 657.76, "word": " and", "probability": 0.63037109375}, {"start": 657.76, "end": 658.02, "word": " came", "probability": 0.46923828125}, {"start": 658.02, "end": 658.02, "word": " out", "probability": 0.87841796875}, {"start": 658.02, "end": 658.16, "word": " of", "probability": 0.424072265625}, {"start": 658.16, "end": 658.8, "word": " the", "probability": 0.55419921875}, {"start": 658.8, "end": 659.1, "word": " two", "probability": 0.9033203125}, {"start": 659.1, "end": 659.74, "word": " diopters", "probability": 0.923828125}, {"start": 659.74, "end": 659.74, "word": " cluster", "probability": 0.95361328125}], "temperature": 1.0}, {"id": 27, "seek": 69471, "start": 665.77, "end": 694.71, "text": "As long as the light comes out as a cluster, it will form a real picture Where it is, we say V is equal to conditional on I So I is equal to conditional on V And it is equal to 1 over plus 2 diopter", "tokens": [10884, 938, 382, 264, 287, 910, 83, 1487, 484, 382, 257, 13630, 11, 309, 486, 1254, 257, 957, 3036, 2305, 309, 307, 11, 321, 584, 691, 307, 2681, 281, 27708, 322, 286, 407, 286, 307, 2681, 281, 27708, 322, 691, 400, 309, 307, 2681, 281, 502, 670, 1804, 568, 1026, 404, 391], "avg_logprob": -0.5748820754716981, "compression_ratio": 1.4776119402985075, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 665.77, "end": 666.11, "word": "As", "probability": 0.28125}, {"start": 666.11, "end": 666.21, "word": " long", "probability": 0.80908203125}, {"start": 666.21, "end": 666.21, "word": " as", "probability": 0.96142578125}, {"start": 666.21, "end": 666.39, "word": " the", "probability": 0.6474609375}, {"start": 666.39, "end": 666.47, "word": " light", "probability": 0.5694173177083334}, {"start": 666.47, "end": 666.75, "word": " comes", "probability": 0.2080078125}, {"start": 666.75, "end": 666.95, "word": " out", "probability": 0.77587890625}, {"start": 666.95, "end": 666.95, "word": " as", "probability": 0.06365966796875}, {"start": 666.95, "end": 666.95, "word": " a", "probability": 0.76513671875}, {"start": 666.95, "end": 667.39, "word": " cluster,", "probability": 0.3115234375}, {"start": 667.61, "end": 667.83, "word": " it", "probability": 0.59423828125}, {"start": 667.83, "end": 667.97, "word": " will", "probability": 0.72216796875}, {"start": 667.97, "end": 668.35, "word": " form", "probability": 0.57861328125}, {"start": 668.35, "end": 668.81, "word": " a", "probability": 0.90576171875}, {"start": 668.81, "end": 669.19, "word": " real", "probability": 0.7900390625}, {"start": 669.19, "end": 669.45, "word": " picture", "probability": 0.513671875}, {"start": 669.45, "end": 671.75, "word": " Where", "probability": 0.1455078125}, {"start": 671.75, "end": 671.95, "word": " it", "probability": 0.35546875}, {"start": 671.95, "end": 672.19, "word": " is,", "probability": 0.6298828125}, {"start": 672.37, "end": 672.55, "word": " we", "probability": 0.8583984375}, {"start": 672.55, "end": 672.91, "word": " say", "probability": 0.8193359375}, {"start": 672.91, "end": 674.07, "word": " V", "probability": 0.352294921875}, {"start": 674.07, "end": 674.73, "word": " is", "probability": 0.44580078125}, {"start": 674.73, "end": 675.19, "word": " equal", "probability": 0.51123046875}, {"start": 675.19, "end": 676.05, "word": " to", "probability": 0.91845703125}, {"start": 676.05, "end": 676.59, "word": " conditional", "probability": 0.076171875}, {"start": 676.59, "end": 677.31, "word": " on", "probability": 0.56298828125}, {"start": 677.31, "end": 677.83, "word": " I", "probability": 0.845703125}, {"start": 677.83, "end": 681.81, "word": " So", "probability": 0.60546875}, {"start": 681.81, "end": 682.35, "word": " I", "probability": 0.6259765625}, {"start": 682.35, "end": 682.79, "word": " is", "probability": 0.8125}, {"start": 682.79, "end": 683.21, "word": " equal", "probability": 0.916015625}, {"start": 683.21, "end": 684.15, "word": " to", "probability": 0.9560546875}, {"start": 684.15, "end": 684.91, "word": " conditional", "probability": 0.8681640625}, {"start": 684.91, "end": 685.35, "word": " on", "probability": 0.93994140625}, {"start": 685.35, "end": 685.75, "word": " V", "probability": 0.96728515625}, {"start": 685.75, "end": 689.67, "word": " And", "probability": 0.4248046875}, {"start": 689.67, "end": 689.73, "word": " it", "probability": 0.2841796875}, {"start": 689.73, "end": 689.85, "word": " is", "probability": 0.46875}, {"start": 689.85, "end": 690.13, "word": " equal", "probability": 0.86572265625}, {"start": 690.13, "end": 691.05, "word": " to", "probability": 0.93798828125}, {"start": 691.05, "end": 691.47, "word": " 1", "probability": 0.62548828125}, {"start": 691.47, "end": 692.89, "word": " over", "probability": 0.50439453125}, {"start": 692.89, "end": 693.69, "word": " plus", "probability": 0.5341796875}, {"start": 693.69, "end": 694.07, "word": " 2", "probability": 0.89208984375}, {"start": 694.07, "end": 694.71, "word": " diopter", "probability": 0.768310546875}], "temperature": 1.0}, {"id": 28, "seek": 72621, "start": 697.07, "end": 726.21, "text": "It is equal to plus one by two and a half And how can a meter be minus one when it turns out to be plus half a meter? One moment So plus half a meter This is the distance of the number image", "tokens": [3522, 307, 2681, 281, 1804, 472, 538, 732, 293, 257, 1922, 400, 577, 393, 257, 9255, 312, 3175, 472, 562, 309, 4523, 484, 281, 312, 1804, 1922, 257, 9255, 30, 1485, 1623, 407, 1804, 1922, 257, 9255, 639, 307, 264, 4560, 295, 264, 1230, 3256], "avg_logprob": -0.5312499792679496, "compression_ratio": 1.4728682170542635, "no_speech_prob": 0.0, "words": [{"start": 697.07, "end": 697.33, "word": "It", "probability": 0.1494140625}, {"start": 697.33, "end": 697.47, "word": " is", "probability": 0.315673828125}, {"start": 697.47, "end": 697.83, "word": " equal", "probability": 0.4541015625}, {"start": 697.83, "end": 698.93, "word": " to", "probability": 0.88427734375}, {"start": 698.93, "end": 699.39, "word": " plus", "probability": 0.501953125}, {"start": 699.39, "end": 699.71, "word": " one", "probability": 0.73681640625}, {"start": 699.71, "end": 699.95, "word": " by", "probability": 0.2318115234375}, {"start": 699.95, "end": 700.21, "word": " two", "probability": 0.94091796875}, {"start": 700.21, "end": 700.51, "word": " and", "probability": 0.505859375}, {"start": 700.51, "end": 700.59, "word": " a", "probability": 0.85693359375}, {"start": 700.59, "end": 700.61, "word": " half", "probability": 0.86279296875}, {"start": 700.61, "end": 703.01, "word": " And", "probability": 0.23779296875}, {"start": 703.01, "end": 703.25, "word": " how", "probability": 0.3642578125}, {"start": 703.25, "end": 703.47, "word": " can", "probability": 0.312744140625}, {"start": 703.47, "end": 703.61, "word": " a", "probability": 0.367919921875}, {"start": 703.61, "end": 703.77, "word": " meter", "probability": 0.8583984375}, {"start": 703.77, "end": 703.91, "word": " be", "probability": 0.451904296875}, {"start": 703.91, "end": 704.13, "word": " minus", "probability": 0.6220703125}, {"start": 704.13, "end": 704.51, "word": " one", "probability": 0.9140625}, {"start": 704.51, "end": 704.75, "word": " when", "probability": 0.71630859375}, {"start": 704.75, "end": 704.95, "word": " it", "probability": 0.84423828125}, {"start": 704.95, "end": 705.13, "word": " turns", "probability": 0.214111328125}, {"start": 705.13, "end": 705.19, "word": " out", "probability": 0.7333984375}, {"start": 705.19, "end": 705.31, "word": " to", "probability": 0.9130859375}, {"start": 705.31, "end": 705.51, "word": " be", "probability": 0.95068359375}, {"start": 705.51, "end": 705.95, "word": " plus", "probability": 0.8984375}, {"start": 705.95, "end": 706.35, "word": " half", "probability": 0.5078125}, {"start": 706.35, "end": 706.51, "word": " a", "probability": 0.83837890625}, {"start": 706.51, "end": 706.77, "word": " meter?", "probability": 0.927734375}, {"start": 710.27, "end": 710.75, "word": " One", "probability": 0.448486328125}, {"start": 710.75, "end": 711.43, "word": " moment", "probability": 0.7451171875}, {"start": 711.43, "end": 719.01, "word": " So", "probability": 0.60107421875}, {"start": 719.01, "end": 719.45, "word": " plus", "probability": 0.615234375}, {"start": 719.45, "end": 719.77, "word": " half", "probability": 0.8212890625}, {"start": 719.77, "end": 719.89, "word": " a", "probability": 0.8876953125}, {"start": 719.89, "end": 720.21, "word": " meter", "probability": 0.91455078125}, {"start": 720.21, "end": 725.23, "word": " This", "probability": 0.385009765625}, {"start": 725.23, "end": 725.39, "word": " is", "probability": 0.9169921875}, {"start": 725.39, "end": 725.51, "word": " the", "probability": 0.7626953125}, {"start": 725.51, "end": 725.51, "word": " distance", "probability": 0.270751953125}, {"start": 725.51, "end": 725.67, "word": " of", "probability": 0.73095703125}, {"start": 725.67, "end": 725.79, "word": " the", "probability": 0.81689453125}, {"start": 725.79, "end": 726.21, "word": " number", "probability": 0.357666015625}, {"start": 726.21, "end": 726.21, "word": " image", "probability": 0.39697265625}], "temperature": 1.0}, {"id": 29, "seek": 73962, "start": 729.22, "end": 739.62, "text": "So it's half a meter away from the lens. We'll draw it with the yellow color, which is the picture of the lens, which is the final picture", "tokens": [6455, 309, 311, 1922, 257, 9255, 1314, 490, 264, 6765, 13, 492, 603, 2642, 309, 365, 264, 5566, 2017, 11, 597, 307, 264, 3036, 295, 264, 6765, 11, 597, 307, 264, 2572, 3036], "avg_logprob": -0.5082720658358406, "compression_ratio": 1.393939393939394, "no_speech_prob": 4.76837158203125e-06, "words": [{"start": 729.22, "end": 729.72, "word": "So", "probability": 0.14453125}, {"start": 729.72, "end": 729.96, "word": " it's", "probability": 0.364990234375}, {"start": 729.96, "end": 731.46, "word": " half", "probability": 0.67333984375}, {"start": 731.46, "end": 731.62, "word": " a", "probability": 0.6845703125}, {"start": 731.62, "end": 731.86, "word": " meter", "probability": 0.91455078125}, {"start": 731.86, "end": 731.86, "word": " away", "probability": 0.6982421875}, {"start": 731.86, "end": 731.86, "word": " from", "probability": 0.89013671875}, {"start": 731.86, "end": 731.86, "word": " the", "probability": 0.90087890625}, {"start": 731.86, "end": 731.86, "word": " lens.", "probability": 0.61669921875}, {"start": 732.76, "end": 733.26, "word": " We'll", "probability": 0.4696044921875}, {"start": 733.26, "end": 733.46, "word": " draw", "probability": 0.60009765625}, {"start": 733.46, "end": 733.62, "word": " it", "probability": 0.85595703125}, {"start": 733.62, "end": 733.74, "word": " with", "probability": 0.422119140625}, {"start": 733.74, "end": 734.14, "word": " the", "probability": 0.59716796875}, {"start": 734.14, "end": 734.44, "word": " yellow", "probability": 0.79931640625}, {"start": 734.44, "end": 735.82, "word": " color,", "probability": 0.61328125}, {"start": 736.94, "end": 736.96, "word": " which", "probability": 0.77880859375}, {"start": 736.96, "end": 737.06, "word": " is", "probability": 0.89306640625}, {"start": 737.06, "end": 737.18, "word": " the", "probability": 0.8525390625}, {"start": 737.18, "end": 737.36, "word": " picture", "probability": 0.303955078125}, {"start": 737.36, "end": 737.66, "word": " of", "probability": 0.78369140625}, {"start": 737.66, "end": 737.92, "word": " the", "probability": 0.90380859375}, {"start": 737.92, "end": 738.18, "word": " lens,", "probability": 0.67138671875}, {"start": 738.62, "end": 738.7, "word": " which", "probability": 0.58984375}, {"start": 738.7, "end": 738.96, "word": " is", "probability": 0.9462890625}, {"start": 738.96, "end": 739.14, "word": " the", "probability": 0.892578125}, {"start": 739.14, "end": 739.14, "word": " final", "probability": 0.744140625}, {"start": 739.14, "end": 739.62, "word": " picture", "probability": 0.63427734375}], "temperature": 1.0}, {"id": 30, "seek": 79234, "start": 770.22, "end": 792.34, "text": "that's how our final image became complete here the distance is half meter which is 50 cm square of course the image", "tokens": [6780, 311, 577, 527, 2572, 3256, 3062, 3566, 510, 264, 4560, 307, 1922, 9255, 597, 307, 2625, 14668, 3732, 295, 1164, 264, 3256], "avg_logprob": -0.7929687251647314, "compression_ratio": 1.2083333333333333, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 770.22, "end": 770.54, "word": "that's", "probability": 0.3774566650390625}, {"start": 770.54, "end": 770.62, "word": " how", "probability": 0.5791015625}, {"start": 770.62, "end": 770.92, "word": " our", "probability": 0.43212890625}, {"start": 770.92, "end": 771.48, "word": " final", "probability": 0.1683349609375}, {"start": 771.48, "end": 771.5, "word": " image", "probability": 0.389892578125}, {"start": 771.5, "end": 773.4, "word": " became", "probability": 0.466796875}, {"start": 773.4, "end": 775.12, "word": " complete", "probability": 0.395751953125}, {"start": 775.12, "end": 775.42, "word": " here", "probability": 0.3232421875}, {"start": 775.42, "end": 775.6, "word": " the", "probability": 0.45947265625}, {"start": 775.6, "end": 775.92, "word": " distance", "probability": 0.77880859375}, {"start": 775.92, "end": 776.12, "word": " is", "probability": 0.87646484375}, {"start": 776.12, "end": 776.36, "word": " half", "probability": 0.60302734375}, {"start": 776.36, "end": 776.7, "word": " meter", "probability": 0.55078125}, {"start": 776.7, "end": 780.2, "word": " which", "probability": 0.316162109375}, {"start": 780.2, "end": 780.34, "word": " is", "probability": 0.80810546875}, {"start": 780.34, "end": 780.86, "word": " 50", "probability": 0.791015625}, {"start": 780.86, "end": 781.02, "word": " cm", "probability": 0.27734375}, {"start": 781.02, "end": 781.34, "word": " square", "probability": 0.186767578125}, {"start": 781.34, "end": 791.9, "word": " of", "probability": 0.54150390625}, {"start": 791.9, "end": 791.9, "word": " course", "probability": 0.95361328125}, {"start": 791.9, "end": 792.1, "word": " the", "probability": 0.6923828125}, {"start": 792.1, "end": 792.34, "word": " image", "probability": 0.5654296875}], "temperature": 1.0}, {"id": 31, "seek": 82145, "start": 793.67, "end": 821.45, "text": "common how common if it is under the optical lattice? common with respect to its body this is its body which is the shape of the first lens let's calculate the second transphase magnification Tm2 equals U over V equals", "tokens": [1112, 3317, 577, 2689, 498, 309, 307, 833, 264, 20674, 34011, 30, 2689, 365, 3104, 281, 1080, 1772, 341, 307, 1080, 1772, 597, 307, 264, 3909, 295, 264, 700, 6765, 718, 311, 8873, 264, 1150, 1145, 43331, 4944, 3774, 314, 76, 17, 6915, 624, 670, 691, 6915], "avg_logprob": -0.6263020597398281, "compression_ratio": 1.4829931972789117, "no_speech_prob": 2.1457672119140625e-06, "words": [{"start": 793.6700000000001, "end": 794.3100000000001, "word": "common", "probability": 0.4406585693359375}, {"start": 794.3100000000001, "end": 794.95, "word": " how", "probability": 0.10968017578125}, {"start": 794.95, "end": 795.33, "word": " common", "probability": 0.6240234375}, {"start": 795.33, "end": 795.49, "word": " if", "probability": 0.1817626953125}, {"start": 795.49, "end": 795.61, "word": " it", "probability": 0.66357421875}, {"start": 795.61, "end": 795.65, "word": " is", "probability": 0.61328125}, {"start": 795.65, "end": 795.81, "word": " under", "probability": 0.64892578125}, {"start": 795.81, "end": 796.05, "word": " the", "probability": 0.305908203125}, {"start": 796.05, "end": 796.37, "word": " optical", "probability": 0.86279296875}, {"start": 796.37, "end": 796.83, "word": " lattice?", "probability": 0.388916015625}, {"start": 796.93, "end": 797.25, "word": " common", "probability": 0.448486328125}, {"start": 797.25, "end": 797.53, "word": " with", "probability": 0.1455078125}, {"start": 797.53, "end": 797.83, "word": " respect", "probability": 0.73583984375}, {"start": 797.83, "end": 797.97, "word": " to", "probability": 0.95166015625}, {"start": 797.97, "end": 798.09, "word": " its", "probability": 0.439453125}, {"start": 798.09, "end": 798.47, "word": " body", "probability": 0.61572265625}, {"start": 798.47, "end": 799.07, "word": " this", "probability": 0.50146484375}, {"start": 799.07, "end": 799.35, "word": " is", "probability": 0.407470703125}, {"start": 799.35, "end": 799.93, "word": " its", "probability": 0.63720703125}, {"start": 799.93, "end": 799.93, "word": " body", "probability": 0.8359375}, {"start": 799.93, "end": 800.49, "word": " which", "probability": 0.44189453125}, {"start": 800.49, "end": 800.65, "word": " is", "probability": 0.93212890625}, {"start": 800.65, "end": 800.73, "word": " the", "probability": 0.783203125}, {"start": 800.73, "end": 800.83, "word": " shape", "probability": 0.169677734375}, {"start": 800.83, "end": 801.01, "word": " of", "probability": 0.97021484375}, {"start": 801.01, "end": 801.07, "word": " the", "probability": 0.88818359375}, {"start": 801.07, "end": 801.95, "word": " first", "probability": 0.763671875}, {"start": 801.95, "end": 801.95, "word": " lens", "probability": 0.82275390625}, {"start": 801.95, "end": 802.31, "word": " let's", "probability": 0.71728515625}, {"start": 802.31, "end": 802.69, "word": " calculate", "probability": 0.68359375}, {"start": 802.69, "end": 802.89, "word": " the", "probability": 0.58935546875}, {"start": 802.89, "end": 803.11, "word": " second", "probability": 0.7939453125}, {"start": 803.11, "end": 803.45, "word": " transphase", "probability": 0.52838134765625}, {"start": 803.45, "end": 804.41, "word": " magnification", "probability": 0.974609375}, {"start": 804.41, "end": 816.69, "word": " Tm2", "probability": 0.555908203125}, {"start": 816.69, "end": 817.85, "word": " equals", "probability": 0.31298828125}, {"start": 817.85, "end": 818.41, "word": " U", "probability": 0.50830078125}, {"start": 818.41, "end": 818.61, "word": " over", "probability": 0.41162109375}, {"start": 818.61, "end": 818.97, "word": " V", "probability": 0.9677734375}, {"start": 818.97, "end": 821.45, "word": " equals", "probability": 0.488525390625}], "temperature": 1.0}, {"id": 32, "seek": 84770, "start": 822.98, "end": 847.7, "text": "the u plus one is greater than the v plus two is greater than and equals x plus on plus plus and one on two and a half x plus half means the picture is regular like a body the body is going down so it is regular like it", "tokens": [3322, 344, 1804, 472, 307, 5044, 813, 264, 371, 1804, 732, 307, 5044, 813, 293, 6915, 2031, 1804, 322, 1804, 1804, 293, 472, 322, 732, 293, 257, 1922, 2031, 1804, 1922, 1355, 264, 3036, 307, 3890, 411, 257, 1772, 264, 1772, 307, 516, 760, 370, 309, 307, 3890, 411, 309], "avg_logprob": -0.5343137418522554, "compression_ratio": 1.8099173553719008, "no_speech_prob": 2.6226043701171875e-06, "words": [{"start": 822.98, "end": 823.24, "word": "the", "probability": 0.123779296875}, {"start": 823.24, "end": 823.44, "word": " u", "probability": 0.5693359375}, {"start": 823.44, "end": 823.74, "word": " plus", "probability": 0.3671875}, {"start": 823.74, "end": 824.46, "word": " one", "probability": 0.720703125}, {"start": 824.46, "end": 824.88, "word": " is", "probability": 0.37353515625}, {"start": 824.88, "end": 825.22, "word": " greater", "probability": 0.32470703125}, {"start": 825.22, "end": 827.98, "word": " than", "probability": 0.84765625}, {"start": 827.98, "end": 828.14, "word": " the", "probability": 0.63134765625}, {"start": 828.14, "end": 828.34, "word": " v", "probability": 0.8798828125}, {"start": 828.34, "end": 828.7, "word": " plus", "probability": 0.94873046875}, {"start": 828.7, "end": 829.1, "word": " two", "probability": 0.904296875}, {"start": 829.1, "end": 829.28, "word": " is", "probability": 0.35986328125}, {"start": 829.28, "end": 829.62, "word": " greater", "probability": 0.818359375}, {"start": 829.62, "end": 829.62, "word": " than", "probability": 0.755859375}, {"start": 829.62, "end": 831.16, "word": " and", "probability": 0.2430419921875}, {"start": 831.16, "end": 831.62, "word": " equals", "probability": 0.285888671875}, {"start": 831.62, "end": 833.06, "word": " x", "probability": 0.919921875}, {"start": 833.06, "end": 834.4, "word": " plus", "probability": 0.8388671875}, {"start": 834.4, "end": 834.58, "word": " on", "probability": 0.3603515625}, {"start": 834.58, "end": 834.92, "word": " plus", "probability": 0.904296875}, {"start": 834.92, "end": 835.42, "word": " plus", "probability": 0.77099609375}, {"start": 835.42, "end": 836.64, "word": " and", "probability": 0.421875}, {"start": 836.64, "end": 836.92, "word": " one", "probability": 0.93603515625}, {"start": 836.92, "end": 837.1, "word": " on", "probability": 0.71337890625}, {"start": 837.1, "end": 837.4, "word": " two", "probability": 0.9501953125}, {"start": 837.4, "end": 837.56, "word": " and", "probability": 0.359375}, {"start": 837.56, "end": 837.76, "word": " a", "probability": 0.7578125}, {"start": 837.76, "end": 837.8, "word": " half", "probability": 0.8720703125}, {"start": 837.8, "end": 840.08, "word": " x", "probability": 0.83837890625}, {"start": 840.08, "end": 840.48, "word": " plus", "probability": 0.95068359375}, {"start": 840.48, "end": 840.92, "word": " half", "probability": 0.685546875}, {"start": 840.92, "end": 841.6, "word": " means", "probability": 0.8349609375}, {"start": 841.6, "end": 841.78, "word": " the", "probability": 0.51806640625}, {"start": 841.78, "end": 842.08, "word": " picture", "probability": 0.296630859375}, {"start": 842.08, "end": 842.26, "word": " is", "probability": 0.8408203125}, {"start": 842.26, "end": 842.68, "word": " regular", "probability": 0.199951171875}, {"start": 842.68, "end": 843.3, "word": " like", "probability": 0.81787109375}, {"start": 843.3, "end": 843.48, "word": " a", "probability": 0.7724609375}, {"start": 843.48, "end": 843.72, "word": " body", "probability": 0.80029296875}, {"start": 843.72, "end": 844.62, "word": " the", "probability": 0.258056640625}, {"start": 844.62, "end": 844.84, "word": " body", "probability": 0.8779296875}, {"start": 844.84, "end": 845.02, "word": " is", "probability": 0.279296875}, {"start": 845.02, "end": 845.1, "word": " going", "probability": 0.52197265625}, {"start": 845.1, "end": 845.24, "word": " down", "probability": 0.76318359375}, {"start": 845.24, "end": 845.78, "word": " so", "probability": 0.283203125}, {"start": 845.78, "end": 845.96, "word": " it", "probability": 0.8623046875}, {"start": 845.96, "end": 846.04, "word": " is", "probability": 0.642578125}, {"start": 846.04, "end": 846.58, "word": " regular", "probability": 0.37353515625}, {"start": 846.58, "end": 847.46, "word": " like", "probability": 0.88671875}, {"start": 847.46, "end": 847.7, "word": " it", "probability": 0.43994140625}], "temperature": 1.0}, {"id": 33, "seek": 86683, "start": 857.13, "end": 866.83, "text": "وجد نص ارتفاع و جد نص ارتفاع Now we have to calculate the total TM Total", "tokens": [2407, 7435, 3215, 8717, 9381, 1975, 43500, 5172, 45761, 4032, 10874, 3215, 8717, 9381, 1975, 43500, 5172, 45761, 823, 321, 362, 281, 8873, 264, 3217, 33550, 23170], "avg_logprob": -0.34012276359966825, "compression_ratio": 1.236842105263158, "no_speech_prob": 0.0, "words": [{"start": 857.13, "end": 857.77, "word": "وجد", "probability": 0.7845052083333334}, {"start": 857.77, "end": 858.09, "word": " نص", "probability": 0.9375}, {"start": 858.09, "end": 858.67, "word": " ارتفاع", "probability": 0.9591064453125}, {"start": 858.67, "end": 858.81, "word": " و", "probability": 0.40283203125}, {"start": 858.81, "end": 859.05, "word": " جد", "probability": 0.841552734375}, {"start": 859.05, "end": 859.37, "word": " نص", "probability": 0.9912109375}, {"start": 859.37, "end": 859.95, "word": " ارتفاع", "probability": 0.9893798828125}, {"start": 859.95, "end": 861.47, "word": " Now", "probability": 0.54541015625}, {"start": 861.47, "end": 862.41, "word": " we", "probability": 0.65673828125}, {"start": 862.41, "end": 862.55, "word": " have", "probability": 0.287841796875}, {"start": 862.55, "end": 862.67, "word": " to", "probability": 0.96875}, {"start": 862.67, "end": 862.95, "word": " calculate", "probability": 0.8046875}, {"start": 862.95, "end": 863.15, "word": " the", "probability": 0.7666015625}, {"start": 863.15, "end": 863.53, "word": " total", "probability": 0.5185546875}, {"start": 863.53, "end": 863.53, "word": " TM", "probability": 0.12188720703125}, {"start": 863.53, "end": 866.83, "word": " Total", "probability": 0.37890625}], "temperature": 1.0}, {"id": 34, "seek": 91136, "start": 885.08, "end": 911.36, "text": "Tm is equal to Tm1 times Tm2 Tm1 minus 10 times Tm2 plus half is equal to x minus 5 x minus 5 What does Tm total mean? x minus 5", "tokens": [51, 76, 307, 2681, 281, 314, 76, 16, 1413, 314, 76, 17, 314, 76, 16, 3175, 1266, 1413, 314, 76, 17, 1804, 1922, 307, 2681, 281, 2031, 3175, 1025, 2031, 3175, 1025, 708, 775, 314, 76, 3217, 914, 30, 2031, 3175, 1025], "avg_logprob": -0.3822674390881561, "compression_ratio": 1.5421686746987953, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 885.08, "end": 885.68, "word": "Tm", "probability": 0.38568115234375}, {"start": 885.68, "end": 886.68, "word": " is", "probability": 0.05328369140625}, {"start": 886.68, "end": 887.06, "word": " equal", "probability": 0.83056640625}, {"start": 887.06, "end": 887.1, "word": " to", "probability": 0.9716796875}, {"start": 887.1, "end": 887.74, "word": " Tm1", "probability": 0.7083333333333334}, {"start": 887.74, "end": 887.92, "word": " times", "probability": 0.1568603515625}, {"start": 887.92, "end": 888.48, "word": " Tm2", "probability": 0.9812825520833334}, {"start": 888.48, "end": 889.32, "word": " Tm1", "probability": 0.7775065104166666}, {"start": 889.32, "end": 889.76, "word": " minus", "probability": 0.79736328125}, {"start": 889.76, "end": 890.26, "word": " 10", "probability": 0.71533203125}, {"start": 890.26, "end": 893.6, "word": " times", "probability": 0.39892578125}, {"start": 893.6, "end": 894.66, "word": " Tm2", "probability": 0.98046875}, {"start": 894.66, "end": 895.16, "word": " plus", "probability": 0.947265625}, {"start": 895.16, "end": 895.6, "word": " half", "probability": 0.75439453125}, {"start": 895.6, "end": 900.04, "word": " is", "probability": 0.3994140625}, {"start": 900.04, "end": 900.56, "word": " equal", "probability": 0.875}, {"start": 900.56, "end": 901.84, "word": " to", "probability": 0.97216796875}, {"start": 901.84, "end": 902.3, "word": " x", "probability": 0.6591796875}, {"start": 902.3, "end": 904.94, "word": " minus", "probability": 0.9873046875}, {"start": 904.94, "end": 906.12, "word": " 5", "probability": 0.669921875}, {"start": 906.12, "end": 907.52, "word": " x", "probability": 0.7880859375}, {"start": 907.52, "end": 907.86, "word": " minus", "probability": 0.98291015625}, {"start": 907.86, "end": 908.34, "word": " 5", "probability": 0.8310546875}, {"start": 908.34, "end": 908.98, "word": " What", "probability": 0.34521484375}, {"start": 908.98, "end": 909.16, "word": " does", "probability": 0.66015625}, {"start": 909.16, "end": 909.56, "word": " Tm", "probability": 0.878173828125}, {"start": 909.56, "end": 909.9, "word": " total", "probability": 0.7724609375}, {"start": 909.9, "end": 910.12, "word": " mean?", "probability": 0.29833984375}, {"start": 910.14, "end": 910.54, "word": " x", "probability": 0.9130859375}, {"start": 910.54, "end": 910.92, "word": " minus", "probability": 0.98291015625}, {"start": 910.92, "end": 911.36, "word": " 5", "probability": 0.87744140625}], "temperature": 1.0}, {"id": 35, "seek": 92312, "start": 920.32, "end": 923.12, "text": "Total x minus 5 is the final picture", "tokens": [51, 38180, 2031, 3175, 1025, 307, 264, 2572, 3036], "avg_logprob": -0.9117187857627869, "compression_ratio": 0.8372093023255814, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 920.3199999999999, "end": 920.92, "word": "Total", "probability": 0.410247802734375}, {"start": 920.92, "end": 921.26, "word": " x", "probability": 0.60302734375}, {"start": 921.26, "end": 921.54, "word": " minus", "probability": 0.64990234375}, {"start": 921.54, "end": 921.86, "word": " 5", "probability": 0.6123046875}, {"start": 921.86, "end": 922.04, "word": " is", "probability": 0.13037109375}, {"start": 922.04, "end": 922.26, "word": " the", "probability": 0.63623046875}, {"start": 922.26, "end": 922.32, "word": " final", "probability": 0.4189453125}, {"start": 922.32, "end": 923.12, "word": " picture", "probability": 0.4072265625}], "temperature": 1.0}, {"id": 36, "seek": 95173, "start": 926.57, "end": 951.73, "text": "Turned upside down for the first object, five times its height If its height is five, five centimeters, the final image is twenty-five centimeters If it is ten centimeters, it is fifty centimeters, five times the height of the first body This is how the problem ends If someone asks me, for example, we have two images and two bodies", "tokens": [51, 374, 9232, 14119, 760, 337, 264, 700, 2657, 11, 1732, 1413, 1080, 6681, 759, 1080, 6681, 307, 1732, 11, 1732, 23300, 11, 264, 2572, 3256, 307, 7699, 12, 18621, 23300, 759, 309, 307, 2064, 23300, 11, 309, 307, 13442, 23300, 11, 1732, 1413, 264, 6681, 295, 264, 700, 1772, 639, 307, 577, 264, 1154, 5314, 759, 1580, 8962, 385, 11, 337, 1365, 11, 321, 362, 732, 5267, 293, 732, 7510], "avg_logprob": -0.4095052124725448, "compression_ratio": 1.88135593220339, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 926.57, "end": 927.07, "word": "Turned", "probability": 0.35760498046875}, {"start": 927.07, "end": 927.35, "word": " upside", "probability": 0.283447265625}, {"start": 927.35, "end": 927.35, "word": " down", "probability": 0.8369140625}, {"start": 927.35, "end": 927.71, "word": " for", "probability": 0.4921875}, {"start": 927.71, "end": 928.05, "word": " the", "probability": 0.84326171875}, {"start": 928.05, "end": 928.05, "word": " first", "probability": 0.84423828125}, {"start": 928.05, "end": 928.53, "word": " object,", "probability": 0.98193359375}, {"start": 929.73, "end": 930.11, "word": " five", "probability": 0.375}, {"start": 930.11, "end": 930.55, "word": " times", "probability": 0.7724609375}, {"start": 930.55, "end": 931.31, "word": " its", "probability": 0.54541015625}, {"start": 931.31, "end": 931.73, "word": " height", "probability": 0.88720703125}, {"start": 931.73, "end": 932.33, "word": " If", "probability": 0.599609375}, {"start": 932.33, "end": 932.89, "word": " its", "probability": 0.53515625}, {"start": 932.89, "end": 932.89, "word": " height", "probability": 0.88134765625}, {"start": 932.89, "end": 933.19, "word": " is", "probability": 0.94189453125}, {"start": 933.19, "end": 933.71, "word": " five,", "probability": 0.73046875}, {"start": 933.77, "end": 934.09, "word": " five", "probability": 0.892578125}, {"start": 934.09, "end": 934.61, "word": " centimeters,", "probability": 0.72509765625}, {"start": 935.35, "end": 935.53, "word": " the", "probability": 0.6982421875}, {"start": 935.53, "end": 935.85, "word": " final", "probability": 0.6416015625}, {"start": 935.85, "end": 935.85, "word": " image", "probability": 0.5029296875}, {"start": 935.85, "end": 936.15, "word": " is", "probability": 0.86474609375}, {"start": 936.15, "end": 936.67, "word": " twenty", "probability": 0.74365234375}, {"start": 936.67, "end": 936.87, "word": "-five", "probability": 0.828369140625}, {"start": 936.87, "end": 937.27, "word": " centimeters", "probability": 0.9091796875}, {"start": 937.27, "end": 937.53, "word": " If", "probability": 0.489990234375}, {"start": 937.53, "end": 937.75, "word": " it", "probability": 0.91552734375}, {"start": 937.75, "end": 937.79, "word": " is", "probability": 0.6474609375}, {"start": 937.79, "end": 938.05, "word": " ten", "probability": 0.912109375}, {"start": 938.05, "end": 938.61, "word": " centimeters,", "probability": 0.8896484375}, {"start": 939.15, "end": 939.33, "word": " it", "probability": 0.8798828125}, {"start": 939.33, "end": 939.55, "word": " is", "probability": 0.8798828125}, {"start": 939.55, "end": 940.35, "word": " fifty", "probability": 0.919921875}, {"start": 940.35, "end": 940.77, "word": " centimeters,", "probability": 0.8994140625}, {"start": 940.93, "end": 941.21, "word": " five", "probability": 0.876953125}, {"start": 941.21, "end": 941.59, "word": " times", "probability": 0.9140625}, {"start": 941.59, "end": 942.31, "word": " the", "probability": 0.8857421875}, {"start": 942.31, "end": 942.69, "word": " height", "probability": 0.83740234375}, {"start": 942.69, "end": 942.85, "word": " of", "probability": 0.96923828125}, {"start": 942.85, "end": 942.89, "word": " the", "probability": 0.927734375}, {"start": 942.89, "end": 942.91, "word": " first", "probability": 0.85595703125}, {"start": 942.91, "end": 943.17, "word": " body", "probability": 0.466552734375}, {"start": 943.17, "end": 943.65, "word": " This", "probability": 0.321533203125}, {"start": 943.65, "end": 943.85, "word": " is", "probability": 0.71240234375}, {"start": 943.85, "end": 944.01, "word": " how", "probability": 0.89013671875}, {"start": 944.01, "end": 944.63, "word": " the", "probability": 0.7265625}, {"start": 944.63, "end": 945.05, "word": " problem", "probability": 0.21044921875}, {"start": 945.05, "end": 945.05, "word": " ends", "probability": 0.6142578125}, {"start": 945.05, "end": 945.87, "word": " If", "probability": 0.1685791015625}, {"start": 945.87, "end": 947.33, "word": " someone", "probability": 0.77685546875}, {"start": 947.33, "end": 947.61, "word": " asks", "probability": 0.5625}, {"start": 947.61, "end": 947.79, "word": " me,", "probability": 0.8974609375}, {"start": 947.91, "end": 947.95, "word": " for", "probability": 0.87939453125}, {"start": 947.95, "end": 948.11, "word": " example,", "probability": 0.95458984375}, {"start": 948.57, "end": 948.81, "word": " we", "probability": 0.70068359375}, {"start": 948.81, "end": 949.13, "word": " have", "probability": 0.94677734375}, {"start": 949.13, "end": 950.17, "word": " two", "probability": 0.93115234375}, {"start": 950.17, "end": 950.49, "word": " images", "probability": 0.471435546875}, {"start": 950.49, "end": 951.39, "word": " and", "probability": 0.90625}, {"start": 951.39, "end": 951.55, "word": " two", "probability": 0.91064453125}, {"start": 951.55, "end": 951.73, "word": " bodies", "probability": 0.7890625}], "temperature": 1.0}, {"id": 37, "seek": 97044, "start": 953.0, "end": 970.44, "text": "الصورة الأولى جسم للعدسة التانية وطبعا و الجسم الأول ما هو جسم مش صورة الجسم الأول و الجسم التانى مين فيهم virtual و مين فيهم real بنقول بنطلع على ال U ال U هنا minus إذا إن هذا الجسم حقيقي", "tokens": [6027, 9381, 13063, 3660, 16247, 12610, 7578, 10874, 38251, 24976, 3615, 3215, 3794, 3660, 16712, 7649, 10632, 4032, 9566, 3555, 3615, 995, 4032, 25724, 38251, 16247, 12610, 19446, 31439, 10874, 38251, 37893, 20328, 13063, 3660, 25724, 38251, 16247, 12610, 4032, 25724, 38251, 16712, 7649, 7578, 3714, 9957, 8978, 16095, 6374, 4032, 3714, 9957, 8978, 16095, 957, 44945, 39648, 44945, 9566, 1211, 3615, 15844, 2423, 624, 2423, 624, 34105, 3175, 11933, 15730, 36145, 23758, 25724, 38251, 11331, 38436, 38436], "avg_logprob": -0.1859177196327644, "compression_ratio": 1.8771929824561404, "no_speech_prob": 5.9604644775390625e-06, "words": [{"start": 953.0, "end": 953.6, "word": "الصورة", "probability": 0.751556396484375}, {"start": 953.6, "end": 954.04, "word": " الأولى", "probability": 0.99169921875}, {"start": 954.04, "end": 954.38, "word": " جسم", "probability": 0.95751953125}, {"start": 954.38, "end": 954.98, "word": " للعدسة", "probability": 0.83330078125}, {"start": 954.98, "end": 955.32, "word": " التانية", "probability": 0.9705403645833334}, {"start": 955.32, "end": 955.72, "word": " وطبعا", "probability": 0.85361328125}, {"start": 955.72, "end": 955.8, "word": " و", "probability": 0.3408203125}, {"start": 955.8, "end": 956.12, "word": " الجسم", "probability": 0.95849609375}, {"start": 956.12, "end": 956.48, "word": " الأول", "probability": 0.985107421875}, {"start": 956.48, "end": 956.64, "word": " ما", "probability": 0.66943359375}, {"start": 956.64, "end": 956.76, "word": " هو", "probability": 0.84619140625}, {"start": 956.76, "end": 957.1, "word": " جسم", "probability": 0.989501953125}, {"start": 957.1, "end": 957.3, "word": " مش", "probability": 0.974609375}, {"start": 957.3, "end": 957.74, "word": " صورة", "probability": 0.9903971354166666}, {"start": 957.74, "end": 958.66, "word": " الجسم", "probability": 0.681884765625}, {"start": 958.66, "end": 959.22, "word": " الأول", "probability": 0.99267578125}, {"start": 959.22, "end": 959.58, "word": " و", "probability": 0.85107421875}, {"start": 959.58, "end": 959.98, "word": " الجسم", "probability": 0.979248046875}, {"start": 959.98, "end": 960.58, "word": " التانى", "probability": 0.9500325520833334}, {"start": 960.58, "end": 961.22, "word": " مين", "probability": 0.841796875}, {"start": 961.22, "end": 961.48, "word": " فيهم", "probability": 0.984619140625}, {"start": 961.48, "end": 961.9, "word": " virtual", "probability": 0.93115234375}, {"start": 961.9, "end": 962.18, "word": " و", "probability": 0.9951171875}, {"start": 962.18, "end": 962.36, "word": " مين", "probability": 0.865966796875}, {"start": 962.36, "end": 962.88, "word": " فيهم", "probability": 0.962158203125}, {"start": 962.88, "end": 965.08, "word": " real", "probability": 0.96533203125}, {"start": 965.08, "end": 965.94, "word": " بنقول", "probability": 0.693359375}, {"start": 965.94, "end": 966.52, "word": " بنطلع", "probability": 0.7916259765625}, {"start": 966.52, "end": 966.66, "word": " على", "probability": 0.4345703125}, {"start": 966.66, "end": 966.76, "word": " ال", "probability": 0.98681640625}, {"start": 966.76, "end": 966.98, "word": " U", "probability": 0.67431640625}, {"start": 966.98, "end": 967.96, "word": " ال", "probability": 0.818359375}, {"start": 967.96, "end": 968.14, "word": " U", "probability": 0.96533203125}, {"start": 968.14, "end": 968.4, "word": " هنا", "probability": 0.9921875}, {"start": 968.4, "end": 968.94, "word": " minus", "probability": 0.95263671875}, {"start": 968.94, "end": 969.2, "word": " إذا", "probability": 0.665283203125}, {"start": 969.2, "end": 969.34, "word": " إن", "probability": 0.57421875}, {"start": 969.34, "end": 969.52, "word": " هذا", "probability": 0.88916015625}, {"start": 969.52, "end": 969.88, "word": " الجسم", "probability": 0.98095703125}, {"start": 969.88, "end": 970.44, "word": " حقيقي", "probability": 0.9441731770833334}], "temperature": 1.0}, {"id": 38, "seek": 98627, "start": 970.97, "end": 986.27, "text": "الـU هنا plus معناته هذا الجسم virtual، تخيلي، طيب الصورتين حقيقيات ولا تخيليات؟ بنبطلع على ال V، إذا ال V في ال plus، هى ال V بتاعة العدسة الأولى في ال plus، إذا الصورة الأولى real", "tokens": [6027, 39184, 52, 34105, 1804, 20449, 8315, 47395, 23758, 25724, 38251, 6374, 12399, 6055, 9778, 26895, 1829, 12399, 23032, 1829, 3555, 31767, 13063, 2655, 9957, 11331, 38436, 4587, 1829, 9307, 49429, 6055, 9778, 26895, 1829, 9307, 22807, 44945, 3555, 9566, 1211, 3615, 15844, 2423, 691, 12399, 11933, 15730, 2423, 691, 8978, 2423, 1804, 12399, 8032, 7578, 2423, 691, 39894, 995, 27884, 18863, 3215, 3794, 3660, 16247, 12610, 7578, 8978, 2423, 1804, 12399, 11933, 15730, 31767, 13063, 3660, 16247, 12610, 7578, 957], "avg_logprob": -0.16415777130097878, "compression_ratio": 1.675977653631285, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 970.97, "end": 971.51, "word": "الـU", "probability": 0.70947265625}, {"start": 971.51, "end": 971.75, "word": " هنا", "probability": 0.96533203125}, {"start": 971.75, "end": 972.25, "word": " plus", "probability": 0.8251953125}, {"start": 972.25, "end": 973.09, "word": " معناته", "probability": 0.8611653645833334}, {"start": 973.09, "end": 973.33, "word": " هذا", "probability": 0.88232421875}, {"start": 973.33, "end": 973.79, "word": " الجسم", "probability": 0.98046875}, {"start": 973.79, "end": 975.15, "word": " virtual،", "probability": 0.805908203125}, {"start": 975.15, "end": 976.23, "word": " تخيلي،", "probability": 0.72998046875}, {"start": 976.23, "end": 976.57, "word": " طيب", "probability": 0.8367513020833334}, {"start": 976.57, "end": 977.41, "word": " الصورتين", "probability": 0.9161376953125}, {"start": 977.41, "end": 978.39, "word": " حقيقيات", "probability": 0.84091796875}, {"start": 978.39, "end": 978.73, "word": " ولا", "probability": 0.83935546875}, {"start": 978.73, "end": 980.21, "word": " تخيليات؟", "probability": 0.902587890625}, {"start": 980.21, "end": 980.75, "word": " بنبطلع", "probability": 0.81884765625}, {"start": 980.75, "end": 980.91, "word": " على", "probability": 0.56298828125}, {"start": 980.91, "end": 981.01, "word": " ال", "probability": 0.95849609375}, {"start": 981.01, "end": 981.35, "word": " V،", "probability": 0.666748046875}, {"start": 981.35, "end": 981.49, "word": " إذا", "probability": 0.86083984375}, {"start": 981.49, "end": 981.65, "word": " ال", "probability": 0.9833984375}, {"start": 981.65, "end": 981.77, "word": " V", "probability": 0.97314453125}, {"start": 981.77, "end": 981.97, "word": " في", "probability": 0.8115234375}, {"start": 981.97, "end": 982.09, "word": " ال", "probability": 0.9501953125}, {"start": 982.09, "end": 982.55, "word": " plus،", "probability": 0.879638671875}, {"start": 982.55, "end": 982.69, "word": " هى", "probability": 0.5372314453125}, {"start": 982.69, "end": 982.87, "word": " ال", "probability": 0.91845703125}, {"start": 982.87, "end": 983.07, "word": " V", "probability": 0.9912109375}, {"start": 983.07, "end": 983.33, "word": " بتاعة", "probability": 0.7347005208333334}, {"start": 983.33, "end": 983.81, "word": " العدسة", "probability": 0.9727783203125}, {"start": 983.81, "end": 984.09, "word": " الأولى", "probability": 0.9905598958333334}, {"start": 984.09, "end": 984.21, "word": " في", "probability": 0.927734375}, {"start": 984.21, "end": 984.31, "word": " ال", "probability": 0.978515625}, {"start": 984.31, "end": 984.71, "word": " plus،", "probability": 0.9150390625}, {"start": 984.71, "end": 984.85, "word": " إذا", "probability": 0.95458984375}, {"start": 984.85, "end": 985.39, "word": " الصورة", "probability": 0.9772135416666666}, {"start": 985.39, "end": 985.95, "word": " الأولى", "probability": 0.9939778645833334}, {"start": 985.95, "end": 986.27, "word": " real", "probability": 0.912109375}], "temperature": 1.0}, {"id": 39, "seek": 100913, "start": 986.97, "end": 1009.13, "text": "وال V هنا في ال plus إذا الصورة هذه أيضا real إذا الصورتين real بس الجسمين واحد حقيقي واحد تخيلي طيب نيجي نحكي عن الصورة الأولى هل هي صورة حقيقية؟ أه صورة حقيقية لإن ال V ال V plus V plus يعني الأشياء هتتجمع إذا هتتجمع في صورة حقيقية، هاي صورة العدسة الأولى", "tokens": [2407, 6027, 691, 34105, 8978, 2423, 1804, 11933, 15730, 31767, 13063, 3660, 29538, 36632, 11242, 995, 957, 11933, 15730, 31767, 13063, 2655, 9957, 957, 4724, 3794, 25724, 38251, 9957, 36764, 24401, 11331, 38436, 38436, 36764, 24401, 6055, 9778, 26895, 1829, 23032, 1829, 3555, 8717, 1829, 7435, 1829, 8717, 5016, 4117, 1829, 18871, 31767, 13063, 3660, 16247, 12610, 7578, 8032, 1211, 39896, 20328, 13063, 3660, 11331, 38436, 4587, 10632, 22807, 5551, 3224, 20328, 13063, 3660, 11331, 38436, 4587, 10632, 5296, 28814, 1863, 2423, 691, 2423, 691, 1804, 691, 1804, 37495, 22653, 16247, 8592, 1829, 16606, 8032, 2655, 2655, 7435, 2304, 3615, 11933, 15730, 8032, 2655, 2655, 7435, 2304, 3615, 8978, 20328, 13063, 3660, 11331, 38436, 4587, 10632, 12399, 8032, 47302, 20328, 13063, 3660, 18863, 3215, 3794, 3660, 16247, 12610, 7578], "avg_logprob": -0.11099759363211119, "compression_ratio": 2.0956937799043063, "no_speech_prob": 8.761882781982422e-06, "words": [{"start": 986.97, "end": 987.29, "word": "وال", "probability": 0.72119140625}, {"start": 987.29, "end": 987.39, "word": " V", "probability": 0.59521484375}, {"start": 987.39, "end": 987.61, "word": " هنا", "probability": 0.98779296875}, {"start": 987.61, "end": 987.77, "word": " في", "probability": 0.818359375}, {"start": 987.77, "end": 987.87, "word": " ال", "probability": 0.94580078125}, {"start": 987.87, "end": 988.13, "word": " plus", "probability": 0.82275390625}, {"start": 988.13, "end": 988.39, "word": " إذا", "probability": 0.578857421875}, {"start": 988.39, "end": 988.89, "word": " الصورة", "probability": 0.8821614583333334}, {"start": 988.89, "end": 989.23, "word": " هذه", "probability": 0.658203125}, {"start": 989.23, "end": 990.15, "word": " أيضا", "probability": 0.8868815104166666}, {"start": 990.15, "end": 990.57, "word": " real", "probability": 0.74951171875}, {"start": 990.57, "end": 991.13, "word": " إذا", "probability": 0.67578125}, {"start": 991.13, "end": 991.75, "word": " الصورتين", "probability": 0.969482421875}, {"start": 991.75, "end": 992.09, "word": " real", "probability": 0.94580078125}, {"start": 992.09, "end": 992.81, "word": " بس", "probability": 0.9482421875}, {"start": 992.81, "end": 993.49, "word": " الجسمين", "probability": 0.9612630208333334}, {"start": 993.49, "end": 993.83, "word": " واحد", "probability": 0.98974609375}, {"start": 993.83, "end": 994.35, "word": " حقيقي", "probability": 0.9700520833333334}, {"start": 994.35, "end": 994.89, "word": " واحد", "probability": 0.7314453125}, {"start": 994.89, "end": 995.57, "word": " تخيلي", "probability": 0.925048828125}, {"start": 995.57, "end": 996.15, "word": " طيب", "probability": 0.9480794270833334}, {"start": 996.15, "end": 996.73, "word": " نيجي", "probability": 0.9195556640625}, {"start": 996.73, "end": 997.05, "word": " نحكي", "probability": 0.993408203125}, {"start": 997.05, "end": 997.23, "word": " عن", "probability": 0.99609375}, {"start": 997.23, "end": 997.71, "word": " الصورة", "probability": 0.9908854166666666}, {"start": 997.71, "end": 998.59, "word": " الأولى", "probability": 0.9949544270833334}, {"start": 998.59, "end": 998.97, "word": " هل", "probability": 0.871337890625}, {"start": 998.97, "end": 999.09, "word": " هي", "probability": 0.80615234375}, {"start": 999.09, "end": 999.45, "word": " صورة", "probability": 0.9900716145833334}, {"start": 999.45, "end": 1000.09, "word": " حقيقية؟", "probability": 0.945703125}, {"start": 1000.09, "end": 1000.29, "word": " أه", "probability": 0.841064453125}, {"start": 1000.29, "end": 1000.57, "word": " صورة", "probability": 0.9884440104166666}, {"start": 1000.57, "end": 1001.05, "word": " حقيقية", "probability": 0.99462890625}, {"start": 1001.05, "end": 1001.35, "word": " لإن", "probability": 0.83251953125}, {"start": 1001.35, "end": 1001.53, "word": " ال", "probability": 0.716796875}, {"start": 1001.53, "end": 1001.77, "word": " V", "probability": 0.99267578125}, {"start": 1001.77, "end": 1002.57, "word": " ال", "probability": 0.495849609375}, {"start": 1002.57, "end": 1002.81, "word": " V", "probability": 0.99462890625}, {"start": 1002.81, "end": 1003.55, "word": " plus", "probability": 0.93701171875}, {"start": 1003.55, "end": 1004.41, "word": " V", "probability": 0.541015625}, {"start": 1004.41, "end": 1004.81, "word": " plus", "probability": 0.94580078125}, {"start": 1004.81, "end": 1004.97, "word": " يعني", "probability": 0.955078125}, {"start": 1004.97, "end": 1005.33, "word": " الأشياء", "probability": 0.9722900390625}, {"start": 1005.33, "end": 1006.01, "word": " هتتجمع", "probability": 0.8937174479166666}, {"start": 1006.01, "end": 1006.23, "word": " إذا", "probability": 0.906005859375}, {"start": 1006.23, "end": 1006.85, "word": " هتتجمع", "probability": 0.995849609375}, {"start": 1006.85, "end": 1006.99, "word": " في", "probability": 0.92236328125}, {"start": 1006.99, "end": 1007.31, "word": " صورة", "probability": 0.9939778645833334}, {"start": 1007.31, "end": 1007.97, "word": " حقيقية،", "probability": 0.878662109375}, {"start": 1007.97, "end": 1008.09, "word": " هاي", "probability": 0.65087890625}, {"start": 1008.09, "end": 1008.39, "word": " صورة", "probability": 0.9967447916666666}, {"start": 1008.39, "end": 1008.85, "word": " العدسة", "probability": 0.9775390625}, {"start": 1008.85, "end": 1009.13, "word": " الأولى", "probability": 0.99609375}], "temperature": 1.0}, {"id": 40, "seek": 103910, "start": 1009.51, "end": 1039.11, "text": "هي صورة حقيقية و لكنها في نفس الوقت جسم تخيلي، ليش جسم تخيلي؟ لأن الأشعة اللي رايحة تكون هذه الصورة و هي رايحة و متجمعة، ضربت في العدسة التانية، إذا هتضرب و هي متجمعة، مش و هي متفارقة، إذا الصورة الأولى صورة حقيقية و في نفس الوقت جسم تخيلي، جسم تخيلي، هيك بتنتهي المسألة و يعطيكم العافية والسلام عليكم ورحمة الله وبركاته", "tokens": [3224, 1829, 20328, 13063, 3660, 11331, 38436, 4587, 10632, 4032, 44381, 11296, 8978, 8717, 36178, 2423, 30543, 2655, 10874, 38251, 6055, 9778, 1829, 20292, 12399, 32239, 8592, 10874, 38251, 6055, 9778, 1829, 20292, 22807, 5296, 33456, 16247, 8592, 27884, 13672, 1829, 12602, 47302, 5016, 3660, 6055, 30544, 29538, 31767, 13063, 3660, 4032, 39896, 12602, 47302, 5016, 3660, 4032, 44650, 7435, 2304, 27884, 12399, 48812, 25513, 2655, 8978, 18863, 3215, 3794, 3660, 16712, 7649, 10632, 12399, 11933, 15730, 8032, 2655, 11242, 25513, 4032, 39896, 44650, 7435, 2304, 27884, 12399, 37893, 4032, 39896, 44650, 5172, 9640, 28671, 12399, 11933, 15730, 31767, 13063, 3660, 16247, 12610, 7578, 20328, 13063, 3660, 11331, 38436, 4587, 10632, 4032, 8978, 8717, 36178, 2423, 30543, 2655, 10874, 38251, 6055, 9778, 1829, 20292, 12399, 10874, 38251, 6055, 9778, 1829, 20292, 12399, 39896, 4117, 39894, 29399, 3224, 1829, 9673, 3794, 10721, 37977, 4032, 37495, 9566, 1829, 24793, 18863, 31845, 10632, 16070, 3794, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224], "avg_logprob": -0.12415286153554916, "compression_ratio": 2.316, "no_speech_prob": 1.4066696166992188e-05, "words": [{"start": 1009.51, "end": 1009.95, "word": "هي", "probability": 0.408447265625}, {"start": 1009.95, "end": 1010.45, "word": " صورة", "probability": 0.9611002604166666}, {"start": 1010.45, "end": 1011.59, "word": " حقيقية", "probability": 0.9044189453125}, {"start": 1011.59, "end": 1011.71, "word": " و", "probability": 0.299560546875}, {"start": 1011.71, "end": 1012.21, "word": " لكنها", "probability": 0.955322265625}, {"start": 1012.21, "end": 1012.41, "word": " في", "probability": 0.958984375}, {"start": 1012.41, "end": 1012.71, "word": " نفس", "probability": 0.996826171875}, {"start": 1012.71, "end": 1013.17, "word": " الوقت", "probability": 0.9814453125}, {"start": 1013.17, "end": 1013.63, "word": " جسم", "probability": 0.990478515625}, {"start": 1013.63, "end": 1014.73, "word": " تخيلي،", "probability": 0.720361328125}, {"start": 1014.73, "end": 1014.97, "word": " ليش", "probability": 0.850341796875}, {"start": 1014.97, "end": 1015.25, "word": " جسم", "probability": 0.991455078125}, {"start": 1015.25, "end": 1015.85, "word": " تخيلي؟", "probability": 0.93203125}, {"start": 1015.85, "end": 1016.09, "word": " لأن", "probability": 0.86572265625}, {"start": 1016.09, "end": 1017.77, "word": " الأشعة", "probability": 0.7415364583333334}, {"start": 1017.77, "end": 1018.55, "word": " اللي", "probability": 0.875732421875}, {"start": 1018.55, "end": 1018.89, "word": " رايحة", "probability": 0.9730224609375}, {"start": 1018.89, "end": 1019.23, "word": " تكون", "probability": 0.82373046875}, {"start": 1019.23, "end": 1019.53, "word": " هذه", "probability": 0.849609375}, {"start": 1019.53, "end": 1020.11, "word": " الصورة", "probability": 0.9881184895833334}, {"start": 1020.11, "end": 1020.73, "word": " و", "probability": 0.425537109375}, {"start": 1020.73, "end": 1020.93, "word": " هي", "probability": 0.81640625}, {"start": 1020.93, "end": 1021.37, "word": " رايحة", "probability": 0.9862060546875}, {"start": 1021.37, "end": 1021.49, "word": " و", "probability": 0.99365234375}, {"start": 1021.49, "end": 1022.29, "word": " متجمعة،", "probability": 0.85146484375}, {"start": 1022.29, "end": 1022.61, "word": " ضربت", "probability": 0.8356119791666666}, {"start": 1022.61, "end": 1022.71, "word": " في", "probability": 0.9677734375}, {"start": 1022.71, "end": 1023.13, "word": " العدسة", "probability": 0.96435546875}, {"start": 1023.13, "end": 1023.53, "word": " التانية،", "probability": 0.972412109375}, {"start": 1023.53, "end": 1023.63, "word": " إذا", "probability": 0.72216796875}, {"start": 1023.63, "end": 1024.17, "word": " هتضرب", "probability": 0.9417724609375}, {"start": 1024.17, "end": 1024.25, "word": " و", "probability": 0.91259765625}, {"start": 1024.25, "end": 1024.39, "word": " هي", "probability": 0.8662109375}, {"start": 1024.39, "end": 1025.63, "word": " متجمعة،", "probability": 0.891796875}, {"start": 1025.63, "end": 1025.85, "word": " مش", "probability": 0.97412109375}, {"start": 1025.85, "end": 1026.01, "word": " و", "probability": 0.98095703125}, {"start": 1026.01, "end": 1026.27, "word": " هي", "probability": 0.84228515625}, {"start": 1026.27, "end": 1027.45, "word": " متفارقة،", "probability": 0.8150390625}, {"start": 1027.45, "end": 1027.71, "word": " إذا", "probability": 0.94189453125}, {"start": 1027.71, "end": 1028.73, "word": " الصورة", "probability": 0.9632161458333334}, {"start": 1028.73, "end": 1029.09, "word": " الأولى", "probability": 0.9944661458333334}, {"start": 1029.09, "end": 1029.39, "word": " صورة", "probability": 0.9685872395833334}, {"start": 1029.39, "end": 1029.91, "word": " حقيقية", "probability": 0.9918212890625}, {"start": 1029.91, "end": 1030.03, "word": " و", "probability": 0.94482421875}, {"start": 1030.03, "end": 1030.17, "word": " في", "probability": 0.8984375}, {"start": 1030.17, "end": 1030.47, "word": " نفس", "probability": 0.997802734375}, {"start": 1030.47, "end": 1031.19, "word": " الوقت", "probability": 0.98486328125}, {"start": 1031.19, "end": 1031.95, "word": " جسم", "probability": 0.979736328125}, {"start": 1031.95, "end": 1032.81, "word": " تخيلي،", "probability": 0.9328125}, {"start": 1032.81, "end": 1033.13, "word": " جسم", "probability": 0.958251953125}, {"start": 1033.13, "end": 1034.15, "word": " تخيلي،", "probability": 0.9720703125}, {"start": 1034.15, "end": 1034.41, "word": " هيك", "probability": 0.722412109375}, {"start": 1034.41, "end": 1034.77, "word": " بتنتهي", "probability": 0.858642578125}, {"start": 1034.77, "end": 1035.29, "word": " المسألة", "probability": 0.9703369140625}, {"start": 1035.29, "end": 1035.59, "word": " و", "probability": 0.68798828125}, {"start": 1035.59, "end": 1036.03, "word": " يعطيكم", "probability": 0.9493408203125}, {"start": 1036.03, "end": 1036.45, "word": " العافية", "probability": 0.982421875}, {"start": 1036.45, "end": 1036.85, "word": " والسلام", "probability": 0.7796223958333334}, {"start": 1036.85, "end": 1037.33, "word": " عليكم", "probability": 0.938720703125}, {"start": 1037.33, "end": 1037.77, "word": " ورحمة", "probability": 0.9097900390625}, {"start": 1037.77, "end": 1038.09, "word": " الله", "probability": 0.9697265625}, {"start": 1038.09, "end": 1039.11, "word": " وبركاته", "probability": 0.923828125}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 1039.627, "duration_after_vad": 907.5250000000005}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/5CUCwjpHdM0_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/5CUCwjpHdM0_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3fa2ff0b2afc396d5b537073cc709106114812e6
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/5CUCwjpHdM0_postprocess.srt
@@ -0,0 +1,180 @@
+1
+00:00:03,950 --> 00:00:06,010
+Now we have an example that we will solve using
+
+2
+00:00:06,010 --> 00:00:09,730
+the Lensmakers equation. We have an object on the
+
+3
+00:00:09,730 --> 00:00:13,010
+left of the spherical refracting surface at 50 cm.
+
+4
+00:00:13,610 --> 00:00:17,290
+We have an image inside the glass, also at a
+
+5
+00:00:17,290 --> 00:00:19,550
+distance of 50 cm from the spherical refracting
+
+6
+00:00:19,550 --> 00:00:25,090
+surface. The n is equal to 1.5 and the n of the
+
+7
+00:00:25,090 --> 00:00:27,590
+air is equal to refractive index 1. The only thing
+
+8
+00:00:27,590 --> 00:00:29,570
+that is unknown is that we have to bring half of
+
+9
+00:00:29,570 --> 00:00:33,090
+the single refracting surface which is R. What is
+
+10
+00:00:33,090 --> 00:00:37,270
+R? We apply the lens maker equation minus N over O
+
+11
+00:00:37,270 --> 00:00:44,710
+plus N minus R equals N minus R over I minus 1
+
+12
+00:00:44,710 --> 00:00:47,530
+over O which is 50 centimeters which is 5 out of
+
+13
+00:00:47,530 --> 00:00:51,290
+10 meters. The measurements must be in meters. N
+
+14
+00:00:51,290 --> 00:00:55,950
+minus N which is 1.5 minus 1 over R which is
+
+15
+00:00:55,950 --> 00:01:01,390
+present equals N minus 1.5 over I which is The
+
+16
+00:01:01,390 --> 00:01:03,330
+distance between the two points is 10 meters The
+
+17
+00:01:03,330 --> 00:01:06,170
+distance between the two points is 10 meters The
+
+18
+00:01:06,170 --> 00:01:10,170
+distance between the two points is 10 meters The
+
+19
+00:01:10,170 --> 00:01:10,230
+distance between the two points is 10 meters The
+
+20
+00:01:10,230 --> 00:01:10,250
+distance between the two points is 10 meters The
+
+21
+00:01:10,250 --> 00:01:10,350
+distance between the two points is 10 meters The
+
+22
+00:01:10,350 --> 00:01:10,570
+distance between the two points is 10 meters The
+
+23
+00:01:10,570 --> 00:01:10,770
+distance between the two points is 10 meters The
+
+24
+00:01:10,770 --> 00:01:11,070
+distance between the two points is 10 meters The
+
+25
+00:01:11,070 --> 00:01:12,270
+distance between the two points is 10 meters The
+
+26
+00:01:12,270 --> 00:01:12,890
+distance between the two points is 10 meters The
+
+27
+00:01:12,890 --> 00:01:13,150
+distance between the two points is 10 meters The
+
+28
+00:01:13,150 --> 00:01:15,750
+distance between the two points is 10 meters The
+
+29
+00:01:15,750 --> 00:01:17,010
+distance between the two points is 10 meters The
+
+30
+00:01:17,010 --> 00:01:27,190
+distance between the two points is 10
+
+31
+00:01:29,640 --> 00:01:34,780
+نص على R لها دل قيمة هى القيمة هنكلها عنها هى تانى
+
+32
+00:01:34,780 --> 00:01:39,700
+تساوي تلاتة متر أصناقس واحد زاقف هى اللى صارت
+
+33
+00:01:39,700 --> 00:01:44,520
+بالزاقف هننطبق عنها هى تانى اتنين متر أصناقس واحد
+
+34
+00:01:44,520 --> 00:01:58,430
+نكمل بنقول نص على R تساوي3,2,5,1,2,3,2,5,1,2,3,2,3
+
+35
+00:01:58,430 --> 00:02:01,470
+,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2
+
+36
+00:02:01,470 --> 00:02:09,050
+,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3
+
+37
+00:02:09,050 --> 00:02:10,910
+,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,
+
+38
+00:02:11,800 --> 00:02:15,660
+meter plus minus one half over five is equal to
+
+39
+00:02:15,660 --> 00:02:18,500
+one out of ten and meter plus minus one when it
+
+40
+00:02:18,500 --> 00:02:21,520
+comes out, it becomes a calm meter, one out of ten
+
+41
+00:02:21,520 --> 00:02:24,600
+meters, which is ten centimeters. So, half of the
+
+42
+00:02:24,600 --> 00:02:26,860
+diameter of the spherical refracting surface is
+
+43
+00:02:26,860 --> 00:02:29,640
+ten centimeters. Yes, here it is equal to ten
+
+44
+00:02:29,640 --> 00:02:32,200
+centimeters. And this is the complete story. May
+
+45
+00:02:32,200 --> 00:02:34,660
+God give you health and peace, may God's mercy be
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/5CUCwjpHdM0_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/5CUCwjpHdM0_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..4a626a22a29a1b71ca5ec1a4b8ab3ece4f1815be
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/5CUCwjpHdM0_raw.srt
@@ -0,0 +1,228 @@
+1
+00:00:03,950 --> 00:00:06,010
+Now we have an example that we will solve using
+
+2
+00:00:06,010 --> 00:00:09,730
+the Lensmakers equation. We have an object on the
+
+3
+00:00:09,730 --> 00:00:13,010
+left of the spherical refracting surface at 50 cm.
+
+4
+00:00:13,610 --> 00:00:17,290
+We have an image inside the glass, also at a
+
+5
+00:00:17,290 --> 00:00:19,550
+distance of 50 cm from the spherical refracting
+
+6
+00:00:19,550 --> 00:00:25,090
+surface. The n is equal to 1.5 and the n of the
+
+7
+00:00:25,090 --> 00:00:27,590
+air is equal to refractive index 1. The only thing
+
+8
+00:00:27,590 --> 00:00:29,570
+that is unknown is that we have to bring half of
+
+9
+00:00:29,570 --> 00:00:33,090
+the single refracting surface which is R. What is
+
+10
+00:00:33,090 --> 00:00:37,270
+R? We apply the lens maker equation minus N over O
+
+11
+00:00:37,270 --> 00:00:44,710
+plus N minus R equals N minus R over I minus 1
+
+12
+00:00:44,710 --> 00:00:47,530
+over O which is 50 centimeters which is 5 out of
+
+13
+00:00:47,530 --> 00:00:51,290
+10 meters. The measurements must be in meters. N
+
+14
+00:00:51,290 --> 00:00:55,950
+minus N which is 1.5 minus 1 over R which is
+
+15
+00:00:55,950 --> 00:01:01,390
+present equals N minus 1.5 over I which is The
+
+16
+00:01:01,390 --> 00:01:03,330
+distance between the two points is 10 meters The
+
+17
+00:01:03,330 --> 00:01:06,170
+distance between the two points is 10 meters The
+
+18
+00:01:06,170 --> 00:01:10,170
+distance between the two points is 10 meters The
+
+19
+00:01:10,170 --> 00:01:10,230
+distance between the two points is 10 meters The
+
+20
+00:01:10,230 --> 00:01:10,230
+distance between the two points is 10 meters The
+
+21
+00:01:10,230 --> 00:01:10,230
+distance between the two points is 10 meters The
+
+22
+00:01:10,230 --> 00:01:10,230
+distance between the two points is 10 meters The
+
+23
+00:01:10,230 --> 00:01:10,250
+distance between the two points is 10 meters The
+
+24
+00:01:10,250 --> 00:01:10,350
+distance between the two points is 10 meters The
+
+25
+00:01:10,350 --> 00:01:10,570
+distance between the two points is 10 meters The
+
+26
+00:01:10,570 --> 00:01:10,570
+distance between the two points is 10 meters The
+
+27
+00:01:10,570 --> 00:01:10,570
+distance between the two points is 10 meters The
+
+28
+00:01:10,570 --> 00:01:10,570
+distance between the two points is 10 meters The
+
+29
+00:01:10,570 --> 00:01:10,570
+distance between the two points is 10 meters The
+
+30
+00:01:10,570 --> 00:01:10,570
+distance between the two points is 10 meters The
+
+31
+00:01:10,570 --> 00:01:10,570
+distance between the two points is 10 meters The
+
+32
+00:01:10,570 --> 00:01:10,770
+distance between the two points is 10 meters The
+
+33
+00:01:10,770 --> 00:01:11,070
+distance between the two points is 10 meters The
+
+34
+00:01:11,070 --> 00:01:12,270
+distance between the two points is 10 meters The
+
+35
+00:01:12,270 --> 00:01:12,270
+distance between the two points is 10 meters The
+
+36
+00:01:12,270 --> 00:01:12,890
+distance between the two points is 10 meters The
+
+37
+00:01:12,890 --> 00:01:13,150
+distance between the two points is 10 meters The
+
+38
+00:01:13,150 --> 00:01:15,750
+distance between the two points is 10 meters The
+
+39
+00:01:15,750 --> 00:01:17,010
+distance between the two points is 10 meters The
+
+40
+00:01:17,010 --> 00:01:27,190
+distance between the two points is 10
+
+41
+00:01:29,640 --> 00:01:34,780
+نص على R لها دل قيمة هى القيمة هنكلها عنها هى تانى
+
+42
+00:01:34,780 --> 00:01:39,700
+تساوي تلاتة متر أصناقس واحد زاقف هى اللى صارت
+
+43
+00:01:39,700 --> 00:01:44,520
+بالزاقف هننطبق عنها هى تانى اتنين متر أصناقس واحد
+
+44
+00:01:44,520 --> 00:01:58,430
+نكمل بنقول نص على R تساوي3,2,5,1,2,3,2,5,1,2,3,2,3
+
+45
+00:01:58,430 --> 00:02:01,470
+,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2
+
+46
+00:02:01,470 --> 00:02:09,050
+,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3
+
+47
+00:02:09,050 --> 00:02:09,050
+,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2
+
+48
+00:02:09,050 --> 00:02:10,910
+,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,
+
+49
+00:02:11,800 --> 00:02:15,660
+meter plus minus one half over five is equal to
+
+50
+00:02:15,660 --> 00:02:18,500
+one out of ten and meter plus minus one when it
+
+51
+00:02:18,500 --> 00:02:21,520
+comes out, it becomes a calm meter, one out of ten
+
+52
+00:02:21,520 --> 00:02:24,600
+meters, which is ten centimeters. So, half of the
+
+53
+00:02:24,600 --> 00:02:26,860
+diameter of the spherical refracting surface is
+
+54
+00:02:26,860 --> 00:02:29,640
+ten centimeters. Yes, here it is equal to ten
+
+55
+00:02:29,640 --> 00:02:32,200
+centimeters. And this is the complete story. May
+
+56
+00:02:32,200 --> 00:02:34,660
+God give you health and peace, may God's mercy be
+
+57
+00:02:34,660 --> 00:02:34,660
+upon you.
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/6FQ8w-AkhPw_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/6FQ8w-AkhPw_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..967c08282e22d96d5500a1f6275cfa8655a0e17b
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/6FQ8w-AkhPw_raw.srt
@@ -0,0 +1,984 @@
+1
+00:00:01,910 --> 00:00:04,990
+بسم الله الرحمن الرحيم، بنواصل محاضرات الـ
+
+2
+00:00:04,990 --> 00:00:09,110
+Geometric Optics، ووصلنا عند موضوع Paraxial Ray
+
+3
+00:00:09,110 --> 00:00:14,190
+Tracing Through Concave Spherical Lenses، وبمعنى
+
+4
+00:00:14,190 --> 00:00:18,630
+تتبع الأشعة المارة من الـ Concave Spherical Lenses
+
+5
+00:00:18,630 --> 00:00:22,140
+أو الـ Minus Spherical Lenses، بنذكر أنه احناIn
+
+6
+00:00:22,140 --> 00:00:26,140
+the previous lectures, we followed the rays in the
+
+7
+00:00:26,140 --> 00:00:28,440
+plus lens and we said that in order to reach the
+
+8
+00:00:28,440 --> 00:00:33,600
+image, we must draw two rays, as we see in the
+
+9
+00:00:33,600 --> 00:00:37,340
+image if we go to the magnifying glassThe first
+
+10
+00:00:37,340 --> 00:00:40,480
+ray is equal to the optical axis, which is the red
+
+11
+00:00:40,480 --> 00:00:43,640
+color, when it leaves the plus lens, it passes
+
+12
+00:00:43,640 --> 00:00:46,440
+through the FB, the posterior focus, and keeps
+
+13
+00:00:46,440 --> 00:00:49,880
+going to the plus optical infinity. The second ray
+
+14
+00:00:49,880 --> 00:00:52,040
+passes through the FA, which is the yellow color.
+
+15
+00:00:53,070 --> 00:00:55,150
+As long as it passes through the F-A axis, it is
+
+16
+00:00:55,150 --> 00:00:57,210
+very important that it is parallel to the optical
+
+17
+00:00:57,210 --> 00:01:00,670
+axis. The intersection of the two rays that passes
+
+18
+00:01:00,670 --> 00:01:02,890
+through the F-B axis and is parallel determines
+
+19
+00:01:02,890 --> 00:01:06,310
+the image point. If it starts from A, it
+
+20
+00:01:06,310 --> 00:01:09,230
+determines A as a condition. When I drop a column
+
+21
+00:01:09,230 --> 00:01:11,870
+from it, this is the image or the height of the
+
+22
+00:01:11,870 --> 00:01:13,910
+image. The image will be in this area. The third
+
+23
+00:01:13,910 --> 00:01:17,210
+ray is the central ray or the chief ray that
+
+24
+00:01:17,210 --> 00:01:20,600
+passes through the nodal point.مفروض إنه يمر في
+
+25
+00:01:20,600 --> 00:01:23,940
+نقطة تقاطع الشعاع الأول والتاني اللي هو الشعاعين
+
+26
+00:01:23,940 --> 00:01:29,640
+الأحمر والأصفر فهذا هو ..The rules that we put or
+
+27
+00:01:29,640 --> 00:01:33,620
+that scientists concluded in tracking the para
+
+28
+00:01:33,620 --> 00:01:39,320
+-axial ray or rays through convex lens The same
+
+29
+00:01:39,320 --> 00:01:45,100
+rules apply to the concave lenses with some simple
+
+30
+00:01:45,100 --> 00:01:46,480
+adjustments What are the adjustments? The
+
+31
+00:01:46,480 --> 00:01:48,120
+adjustments because it is known that the concave
+
+32
+00:01:48,120 --> 00:01:52,730
+lens has a backand FP in front, so they are
+
+33
+00:01:52,730 --> 00:01:56,710
+reversed compared to the plus lenses, but the
+
+34
+00:01:56,710 --> 00:02:01,390
+rules are the same. We say para-axial ray tracing
+
+35
+00:02:01,390 --> 00:02:09,320
+through concave spherical lenses, the principlesof
+
+36
+00:02:09,320 --> 00:02:12,960
+para-axial ray tracing are the same for concave
+
+37
+00:02:12,960 --> 00:02:19,160
+spherical lenses as for convex spherical lenses if
+
+38
+00:02:19,160 --> 00:02:26,400
+we have for example a lens minus two diopter lens
+
+39
+00:02:26,400 --> 00:02:32,540
+its fa is fifty centimeters behind the lens behind
+
+40
+00:02:32,540 --> 00:02:35,900
+the lens behind the lens means that the fa is on
+
+41
+00:02:35,900 --> 00:02:39,620
+the right and the b is on the leftأول شيء by
+
+42
+00:02:39,620 --> 00:02:43,320
+definition by definition a ray of light directed
+
+43
+00:02:43,320 --> 00:02:47,180
+through FA will exits the lens parallel to the
+
+44
+00:02:47,180 --> 00:02:51,900
+optical axis أي .. أي شعاع .. أي شعاع بيمر في ال
+
+45
+00:02:51,900 --> 00:02:56,680
+FA أو مش بيمر في ال FA بيكون directed باتجاه ال FA
+
+46
+00:02:56,680 --> 00:03:02,570
+موجه باتجاه ال FA سوف يخرج من العدسةequal to the
+
+47
+00:03:02,570 --> 00:03:05,670
+optical axis, let's see where this radiation is,
+
+48
+00:03:05,930 --> 00:03:09,330
+in the plus lens, in the plus lens, FA in front,
+
+49
+00:03:09,450 --> 00:03:11,290
+so the radiation that really passes through it,
+
+50
+00:03:11,390 --> 00:03:14,230
+that really passes through it, will come out equal
+
+51
+00:03:14,230 --> 00:03:18,880
+to the optical axis, while in the concave lensThe
+
+52
+00:03:18,880 --> 00:03:22,580
+beam that is going towards it, if left without
+
+53
+00:03:22,580 --> 00:03:25,640
+lens, will pass through this point and will come
+
+54
+00:03:25,640 --> 00:03:28,180
+out parallel. This point is the fa of the minus
+
+55
+00:03:28,180 --> 00:03:31,000
+lens. So in the case of the plus lens, we say that
+
+56
+00:03:31,000 --> 00:03:34,020
+the beam that passes through the fa will come out
+
+57
+00:03:34,020 --> 00:03:37,280
+parallel. In the case of the minus lens,The beam
+
+58
+00:03:37,280 --> 00:03:40,520
+that is directed towards F-A, it will not follow
+
+59
+00:03:40,520 --> 00:03:41,900
+its trajectory because it will collide with the
+
+60
+00:03:41,900 --> 00:03:44,540
+lens The beam that is directed towards F-A will
+
+61
+00:03:44,540 --> 00:03:46,980
+come out parallel Let's see in the simulation how
+
+62
+00:03:46,980 --> 00:03:51,620
+this is going to happen I have a lens Of course,
+
+63
+00:03:51,680 --> 00:03:56,360
+the lens is minus five, minus five Therefore, we
+
+64
+00:03:56,360 --> 00:04:02,290
+want the focal point to be F-A behind, hereOn a
+
+65
+00:04:02,290 --> 00:04:08,270
+distance of 20 cm and Fp on a distance of 20 cm on
+
+66
+00:04:08,270 --> 00:04:13,990
+the left Fp here at 700 at the point 700 and Fp at
+
+67
+00:04:13,990 --> 00:04:18,310
+the point 300 both are 20 cm away from the lens
+
+68
+00:04:18,310 --> 00:04:21,710
+because the lens has a force of 5 diopters minus 5
+
+69
+00:04:21,710 --> 00:04:26,170
+why? because the focal length is minus 200 mm that
+
+70
+00:04:26,170 --> 00:04:29,890
+is 20 cm let's see if I have rays
+
+71
+00:04:33,570 --> 00:04:40,710
+or lightning passes through the
+
+72
+00:04:40,710 --> 00:04:42,170
+point F A means that it passes through the point
+
+73
+00:04:42,170 --> 00:04:51,890
+700 let's
+
+74
+00:04:51,890 --> 00:04:56,450
+see the extension of this lightning this is for
+
+75
+00:04:56,450 --> 00:05:00,310
+the back extension for the back let's go back
+
+76
+00:05:04,340 --> 00:05:08,800
+ال extension بتاع هذا الشعاع بيمر مئة بالمئة بيمر
+
+77
+00:05:08,800 --> 00:05:18,440
+في النقطة سبعمية، بالنقطة سبعمية، بمعنى آخر،
+
+78
+00:05:18,440 --> 00:05:23,300
+كيف عرف أنه بيمر في النقطة سبعمية؟ لإنه خرج موازي
+
+79
+00:05:23,300 --> 00:05:27,860
+من .. موازي لل optical axis، موازي لل optical axis
+
+80
+00:05:33,830 --> 00:05:43,810
+Okay, so, no, it's away from being parallel Okay,
+
+81
+00:05:44,310 --> 00:05:46,950
+it's parallel from the lens, why? Because it's
+
+82
+00:05:46,950 --> 00:05:49,470
+directed towards the face, this is the first rule,
+
+83
+00:05:49,570 --> 00:05:53,730
+the first rule, if the beam is directed towards
+
+84
+00:05:53,730 --> 00:05:57,370
+the face, it's parallel, it's parallel, let's
+
+85
+00:05:57,370 --> 00:06:02,240
+continueSimilarly, a virtual object in the
+
+86
+00:06:02,240 --> 00:06:06,440
+anterior focal plane of a concave lens will image
+
+87
+00:06:06,440 --> 00:06:07,740
+to plus infinity.
+
+88
+00:06:20,070 --> 00:06:23,430
+This ray is a convergent ray, if we imagine that
+
+89
+00:06:23,430 --> 00:06:26,170
+the optical axis is a ray and this is a ray, these
+
+90
+00:06:26,170 --> 00:06:28,690
+are convergent rays, which means that the object
+
+91
+00:06:28,690 --> 00:06:30,670
+here is a virtual object, as long as the
+
+92
+00:06:30,670 --> 00:06:35,470
+convergent ray is a virtual object present at the
+
+93
+00:06:35,470 --> 00:06:39,960
+anterior focal planeThe image will be in the plus
+
+94
+00:06:39,960 --> 00:06:43,500
+infinity, in the plus infinity Of course, virtual
+
+95
+00:06:43,500 --> 00:06:49,740
+object, which is a convergent, which is supposed
+
+96
+00:06:49,740 --> 00:06:54,480
+to come from a convergent lens, a plus convergent
+
+97
+00:06:54,480 --> 00:06:57,080
+lens, will form an image here In the anterior
+
+98
+00:06:57,080 --> 00:07:00,540
+focal plane of the minus lens Of course, any
+
+99
+00:07:00,540 --> 00:07:03,520
+virtual object in the anterior focal plane exists
+
+100
+00:07:04,640 --> 00:07:06,940
+And if I have a minus lens in the anterior focal
+
+101
+00:07:06,940 --> 00:07:10,000
+plane of the minus lens, the image of this virtual
+
+102
+00:07:10,000 --> 00:07:16,480
+object will be in the plus optical infinity. So,
+
+103
+00:07:16,980 --> 00:07:20,500
+similarly, a virtual object in the anterior focal
+
+104
+00:07:20,500 --> 00:07:24,400
+plane of a concave lens will image at plus
+
+105
+00:07:24,400 --> 00:07:26,920
+infinity. Okay, let's come to the second
+
+106
+00:07:26,920 --> 00:07:30,180
+radiation, a light or ray of light entering the
+
+107
+00:07:30,180 --> 00:07:34,930
+lensparallel to the optical axis will pass through
+
+108
+00:07:34,930 --> 00:07:39,670
+the posterior focus after exiting the lens let's
+
+109
+00:07:39,670 --> 00:07:44,170
+see this on the plus lens how if I have a beam
+
+110
+00:07:44,170 --> 00:07:46,750
+parallel to the optical axis when it comes out of
+
+111
+00:07:46,750 --> 00:07:53,510
+the lens it enters FB in the minus lens in the
+
+112
+00:07:53,510 --> 00:07:58,530
+minus lens ifParallel to the optical axis, when it
+
+113
+00:07:58,530 --> 00:08:01,930
+comes out of the lens, it is distorted. Its length
+
+114
+00:08:01,930 --> 00:08:05,230
+goes into FB. Its length goes into FB. Let's see
+
+115
+00:08:05,230 --> 00:08:08,690
+this issue in simulation. Let's say we have a
+
+116
+00:08:08,690 --> 00:08:12,310
+parallel beam. Let's bring another ray. This is a
+
+117
+00:08:12,310 --> 00:08:13,730
+single ray and this is its duplication.
+
+118
+00:08:16,870 --> 00:08:21,050
+Let's make it parallel to the optical axis.
+
+119
+00:08:27,080 --> 00:08:32,080
+Let's see its length Exactly it entered the point
+
+120
+00:08:32,080 --> 00:08:36,320
+300 exactly it entered the point 300 which is in
+
+121
+00:08:36,320 --> 00:08:38,920
+the posterior focus of the minus lens We said that
+
+122
+00:08:38,920 --> 00:08:43,000
+the posterior focus is 20 cm away Let's go back to
+
+123
+00:08:43,000 --> 00:08:47,200
+this step to clarify things for us So, the first
+
+124
+00:08:47,200 --> 00:08:55,190
+ray is directed towards F ADirected, it doesn't go
+
+125
+00:08:55,190 --> 00:09:00,130
+through FA, but it's directed towards FA, it's
+
+126
+00:09:00,130 --> 00:09:03,170
+equal to the optical axis Second example, it's
+
+127
+00:09:03,170 --> 00:09:05,610
+equal to the optical axis, it's equal to the
+
+128
+00:09:05,610 --> 00:09:09,070
+optical axis When it comes out of the lens, it's
+
+129
+00:09:09,070 --> 00:09:12,290
+tilted, its extension enters FB, its extension
+
+130
+00:09:12,290 --> 00:09:14,630
+enters FB Now
+
+131
+00:09:19,190 --> 00:09:22,870
+Similarly, real object at minus optical infinity
+
+132
+00:09:22,870 --> 00:09:26,370
+will produce virtual image in the posterior focal
+
+133
+00:09:26,370 --> 00:09:29,810
+plane of a concave lens يعني لما بيكون عندي
+
+134
+00:09:29,810 --> 00:09:36,550
+virtual object .. virtual .. او real object عفوا
+
+135
+00:09:36,550 --> 00:09:40,530
+real object في ال minus optical infinity جاية منه
+
+136
+00:09:40,530 --> 00:09:44,240
+الأشعةThe minus lens is overshadowed by the minus
+
+137
+00:09:44,240 --> 00:09:47,520
+lens, resulting in a virtual image in the
+
+138
+00:09:47,520 --> 00:09:52,440
+posterior focal plane
+
+139
+00:09:52,440 --> 00:09:56,600
+Now, it is very important that the third beam,
+
+140
+00:10:00,300 --> 00:10:06,500
+which passes through the nodal pointIt doesn't
+
+141
+00:10:06,500 --> 00:10:09,080
+change its direction. So there is a parallel beam
+
+142
+00:10:09,080 --> 00:10:12,700
+to the optical axis that is stretched. The beam is
+
+143
+00:10:12,700 --> 00:10:14,520
+parallel to the optical axis that is stretched.
+
+144
+00:10:15,020 --> 00:10:19,600
+Its length enters FB. The second beam is directed
+
+145
+00:10:19,600 --> 00:10:25,160
+towards FA. It comes out parallel. The third beam
+
+146
+00:10:25,160 --> 00:10:27,740
+passes through the nodal point. Nothing happens to
+
+147
+00:10:27,740 --> 00:10:33,160
+it. The three rays that came out of the minus lens
+
+148
+00:10:34,230 --> 00:10:37,070
+This is the first ray and the second and the third
+
+149
+00:10:37,070 --> 00:10:40,270
+Divergent ray, so the image is virtual and cannot
+
+150
+00:10:40,270 --> 00:10:43,490
+form a real image Where would it be if we extend
+
+151
+00:10:43,490 --> 00:10:47,130
+these three rays to meet at one point? We will see
+
+152
+00:10:47,130 --> 00:10:51,670
+this in the simulation, but we must add the third
+
+153
+00:10:51,670 --> 00:10:59,210
+ray Duplicate
+
+154
+00:10:59,210 --> 00:11:06,790
+itand make it more than nodal point these are the
+
+155
+00:11:06,790 --> 00:11:12,690
+three rays now we draw the object this is my
+
+156
+00:11:12,690 --> 00:11:25,390
+object which is .. no we
+
+157
+00:11:25,390 --> 00:11:31,350
+use the blocker to draw the object
+
+158
+00:11:43,940 --> 00:11:47,000
+This is the object with the brown color We want to
+
+159
+00:11:47,000 --> 00:11:52,780
+see where the image should be formed The image is
+
+160
+00:11:52,780 --> 00:11:55,520
+formed on the extensions of these different
+
+161
+00:11:55,520 --> 00:11:57,860
+elements This extension to the back, and this
+
+162
+00:11:57,860 --> 00:12:00,080
+extension to the back, and this extension to the
+
+163
+00:12:00,080 --> 00:12:06,040
+back We come here and make a duplication of the
+
+164
+00:12:06,040 --> 00:12:06,580
+blocker
+
+165
+00:12:20,540 --> 00:12:28,700
+هذه الصورة مصدرة virtual erect مصدرة virtual erect
+
+166
+00:12:28,700 --> 00:12:35,280
+إذن
+
+167
+00:12:35,280 --> 00:12:41,450
+هذه الصورة، هذه الجسمAnd this is the picture The
+
+168
+00:12:41,450 --> 00:12:44,310
+picture consists of the rays that came out
+
+169
+00:12:44,310 --> 00:12:47,190
+separately from the minus lens As the picture I
+
+170
+00:12:47,190 --> 00:12:51,910
+have here shows As the picture I have here shows I
+
+171
+00:12:51,910 --> 00:12:54,390
+have the first ray parallel to the optical axis,
+
+172
+00:12:54,570 --> 00:12:57,690
+it comes out, it spreads, its range goes into FB
+
+173
+00:12:57,690 --> 00:13:02,130
+The second ray is directed towards FA, it did not
+
+174
+00:13:02,130 --> 00:13:05,410
+enter FA, but it is directed towards FA It will
+
+175
+00:13:05,410 --> 00:13:07,170
+collide with the lens, so it will come out
+
+176
+00:13:07,170 --> 00:13:11,040
+parallelThe third ray will enter the nodal point
+
+177
+00:13:11,040 --> 00:13:13,720
+and will not change its path. The first, second
+
+178
+00:13:13,720 --> 00:13:16,000
+and third rays are divergent rays, so the image is
+
+179
+00:13:16,000 --> 00:13:18,480
+virtual. Where does the image meet? Does it need
+
+180
+00:13:18,480 --> 00:13:20,380
+calculations? No, it does not need calculations.
+
+181
+00:13:20,860 --> 00:13:22,560
+It only needs to be extended and the drawing
+
+182
+00:13:22,560 --> 00:13:24,340
+should be accurate. If the drawing is accurate,
+
+183
+00:13:24,540 --> 00:13:28,450
+the rays will meet at one point.things that are
+
+184
+00:13:28,450 --> 00:13:32,950
+backward will meet in one point this is the place
+
+185
+00:13:32,950 --> 00:13:35,770
+of the image this is the place of the image so
+
+186
+00:13:35,770 --> 00:13:41,050
+this case must be very clear must be clear this is
+
+187
+00:13:41,050 --> 00:13:46,450
+an example of minus or para axial ray tracing
+
+188
+00:13:46,450 --> 00:13:52,070
+using minus spherical lens minus spherical lens
+
+189
+00:13:52,070 --> 00:13:54,550
+let's see if they give examples or not
+
+190
+00:14:01,130 --> 00:14:06,250
+Let's take the example of the minus 2 diopter lens
+
+191
+00:14:06,250 --> 00:14:14,830
+and see how it works I
+
+192
+00:14:14,830 --> 00:14:20,370
+have
+
+193
+00:14:20,370 --> 00:14:25,630
+a minus 2 diopter lens The F-A is 50 cm behind the
+
+194
+00:14:25,630 --> 00:14:31,560
+lens and the F-B is 50 cm in front of the lenssee
+
+195
+00:14:31,560 --> 00:14:42,080
+the object on any distance it's
+
+196
+00:14:42,080 --> 00:14:44,120
+not a problem the object's distance it's not a
+
+197
+00:14:44,120 --> 00:14:45,360
+problem the object's distance because it's going
+
+198
+00:14:45,360 --> 00:14:48,900
+to be small no matter the object's distance let's
+
+199
+00:14:48,900 --> 00:14:53,200
+see how it's going to be here I have grid and here
+
+200
+00:14:53,200 --> 00:14:53,780
+I have ruler
+
+201
+00:15:13,970 --> 00:15:20,590
+this is ruler now
+
+202
+00:15:20,590 --> 00:15:29,490
+we want to put minus lens this
+
+203
+00:15:29,490 --> 00:15:35,310
+is plus lens minus
+
+204
+00:15:35,310 --> 00:15:41,490
+2 so the focal length is 50cm which is minus 500
+
+205
+00:16:13,910 --> 00:16:21,070
+-500 means from
+
+206
+00:16:21,070 --> 00:16:25,550
+100 to 600 which is 500 we want to see how the
+
+207
+00:16:25,550 --> 00:16:31,910
+three rays will form a single ray let's say this
+
+208
+00:16:31,910 --> 00:16:32,910
+is a parallel single ray
+
+209
+00:16:42,880 --> 00:16:48,220
+parallel to the optical axis we see the extension
+
+210
+00:16:48,220 --> 00:16:52,500
+means that we are not yet parallel to the optical
+
+211
+00:16:52,500 --> 00:16:56,340
+axis until the extension is fixed that's why we
+
+212
+00:16:56,340 --> 00:17:00,380
+are parallel to the optical axis that's why it
+
+213
+00:17:00,380 --> 00:17:02,880
+passes through the point 100 which is 50 cm away
+
+214
+00:17:02,880 --> 00:17:06,920
+so parallel is flattened and its extension passes
+
+215
+00:17:06,920 --> 00:17:11,400
+through FB now we need to go back from the
+
+216
+00:17:11,400 --> 00:17:12,300
+extension a little bit
+
+217
+00:17:24,440 --> 00:17:32,660
+Okay, now we want the second ray to
+
+218
+00:17:32,660 --> 00:17:36,220
+be directed towards F
+
+219
+00:17:44,300 --> 00:17:46,960
+It was directed towards FA, it was directed
+
+220
+00:17:46,960 --> 00:17:49,420
+towards how it found out that the rays came out
+
+221
+00:17:49,420 --> 00:17:52,320
+parallel to the optical axis, parallel to the
+
+222
+00:17:52,320 --> 00:17:57,180
+optical axis The third ray that passes through the
+
+223
+00:17:57,180 --> 00:18:02,080
+nodal point will not change its path, will not
+
+224
+00:18:02,080 --> 00:18:03,120
+change its path
+
+225
+00:18:07,170 --> 00:18:10,370
+Okay, now we're going to do the extension of the
+
+226
+00:18:10,370 --> 00:18:13,170
+three rays We're going to see that the three rays
+
+227
+00:18:13,170 --> 00:18:19,050
+make a vertical picture, that is upright, virtual,
+
+228
+00:18:20,050 --> 00:18:22,910
+minified How do we know it's minified? Of course,
+
+229
+00:18:23,450 --> 00:18:31,870
+it's a miniature compared to the body This
+
+230
+00:18:31,870 --> 00:18:34,330
+is the body, put it in its right place
+
+231
+00:18:53,580 --> 00:19:03,620
+this is the height of the body and this is the
+
+232
+00:19:03,620 --> 00:19:05,660
+picture, we will put the picture in its correct
+
+233
+00:19:05,660 --> 00:19:08,260
+place too, but we will make it smaller
+
+234
+00:19:28,770 --> 00:19:33,670
+So, the rule says that regardless of the location
+
+235
+00:19:33,670 --> 00:19:38,750
+of the body, whether it is inside FP or outside
+
+236
+00:19:38,750 --> 00:19:42,870
+FP, or wherever, always the picture under the
+
+237
+00:19:42,870 --> 00:19:48,030
+minus lens will be miniatured and customizable and
+
+238
+00:19:48,030 --> 00:19:50,910
+virtual, miniatured and customizable and virtual,
+
+239
+00:19:51,130 --> 00:19:52,790
+and consequently you will have
+
+240
+00:19:55,780 --> 00:20:01,020
+The image is always miniatured and virtual, so
+
+241
+00:20:01,020 --> 00:20:06,460
+this image is called the minus lens, and I can
+
+242
+00:20:06,460 --> 00:20:09,420
+raise the image and divide it by the height of the
+
+243
+00:20:09,420 --> 00:20:13,140
+object, and I get the transference magnification,
+
+244
+00:20:13,220 --> 00:20:18,040
+transference magnification We stop at the lecture
+
+245
+00:20:18,040 --> 00:20:21,400
+of objects and images at infinity, and God bless
+
+246
+00:20:21,400 --> 00:20:22,960
+you and peace be upon you
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/7EgIsWUhHBE_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/7EgIsWUhHBE_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..727cf8e30bc569d8647907954d920eee3dd8f9f1
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/7EgIsWUhHBE_raw.srt
@@ -0,0 +1,800 @@
+1
+00:00:01,500 --> 00:00:03,500
+Bismillah ar-Rahman ar-Rahim, we have a problem
+
+2
+00:00:03,500 --> 00:00:06,960
+with the lens decentration The optical center of
+
+3
+00:00:06,960 --> 00:00:15,120
+the lens on the right became outwards 8mm and
+
+4
+00:00:15,120 --> 00:00:22,280
+downwards 7mm So it went out 8mm and down 7mm of
+
+5
+00:00:22,280 --> 00:00:27,720
+course the lens strength Plus
+
+6
+00:00:27,720 --> 00:00:38,760
+6 diopterthe right lens and
+
+7
+00:00:38,760 --> 00:00:46,500
+the left lens plus five and a half diodes
+
+8
+00:00:46,500 --> 00:00:49,320
+by mistake,
+
+9
+00:00:50,160 --> 00:00:53,420
+the lens was focused in such a way that there was
+
+10
+00:00:53,420 --> 00:00:57,740
+a decentralizationالان بالنسبالي العدسة الشمال was
+
+11
+00:00:57,740 --> 00:01:02,500
+decentered outward لبرا خمسة ملي و لفوق upward
+
+12
+00:01:02,500 --> 00:01:05,820
+سبعة ملي متر What is the total horizontal and
+
+13
+00:01:05,820 --> 00:01:09,280
+vertical aprismatic effect and which is more
+
+14
+00:01:09,280 --> 00:01:12,580
+problematic to the patient؟ بدنا نجسم الصفحة
+
+15
+00:01:12,580 --> 00:01:14,380
+بتاعتنا لأقسام
+
+16
+00:01:40,250 --> 00:01:44,190
+لأقصى عشان نبدأ بالحل
+
+17
+00:02:04,230 --> 00:02:07,450
+first part we need to see the horizontal effect
+
+18
+00:02:07,450 --> 00:02:15,390
+for right eye of course we
+
+19
+00:02:15,390 --> 00:02:20,170
+will say horizontal effect right horizontal effect
+
+20
+00:02:20,170 --> 00:02:29,370
+right we
+
+21
+00:02:29,370 --> 00:02:33,410
+will use the horizontal cross sectionwe call it
+
+22
+00:02:33,410 --> 00:02:37,470
+optical center it
+
+23
+00:02:37,470 --> 00:02:39,850
+was supposed to be like this in the middle but it
+
+24
+00:02:39,850 --> 00:02:45,670
+moved outward by 8 mm when it moved outward, the
+
+25
+00:02:45,670 --> 00:02:53,170
+eye looks through a phase-out prism so first phase
+
+26
+00:02:53,170 --> 00:02:57,750
+-out effect phase-out prism
+
+27
+00:03:06,910 --> 00:03:14,110
+The Prismatic Gadget is equal to h into d where h
+
+28
+00:03:14,110 --> 00:03:29,330
+is the distance and
+
+29
+00:03:29,330 --> 00:03:34,090
+it is equal to 8 millimeters which is 8 out of 10
+
+30
+00:03:34,090 --> 00:03:34,650
+centimeters
+
+31
+00:03:37,470 --> 00:03:45,850
+multiply power by 6 multiply 6 by diopter and it
+
+32
+00:03:45,850 --> 00:03:52,030
+equals the prismatic effect 8x6x8x40 which is 4
+
+33
+00:03:52,030 --> 00:04:05,490
+.8x10 the prism diopter so
+
+34
+00:04:05,490 --> 00:04:06,890
+this is the horizontal effect
+
+35
+00:04:11,260 --> 00:04:17,340
+Horizontal effect for the right eye 4
+
+36
+00:04:17,340 --> 00:04:22,860
+,8,10 prism diopter, base out, base out Ok, now we
+
+37
+00:04:22,860 --> 00:04:24,920
+come to the vertical effect for the right eye to
+
+38
+00:04:24,920 --> 00:04:30,460
+finish everything The
+
+39
+00:04:30,460 --> 00:04:34,680
+vertical effect for the right eye is supposed to
+
+40
+00:04:34,680 --> 00:04:38,000
+be in the middle, but the center went down by 7
+
+41
+00:04:38,000 --> 00:04:44,450
+millimetersseven milli, then the eye has a face
+
+42
+00:04:44,450 --> 00:04:51,130
+down effect or face down prism, the vertical
+
+43
+00:04:51,130 --> 00:04:53,530
+effect of the right eye
+
+44
+00:05:09,940 --> 00:05:13,300
+vertical effect to the right eye based on the
+
+45
+00:05:13,300 --> 00:05:20,560
+prism based on the prism how much it is equal to H
+
+46
+00:05:20,560 --> 00:05:27,380
+in D and equal to H seven miles down, which is
+
+47
+00:05:27,380 --> 00:05:32,140
+seven out of ten centimeters times D, which is six
+
+48
+00:05:32,140 --> 00:05:35,300
+diopters seven times six is forty-two, which is
+
+49
+00:05:35,300 --> 00:05:39,100
+four and two out of ten diopters
+
+50
+00:05:41,360 --> 00:05:45,000
+So this is the vertical effect for the right eye
+
+51
+00:05:45,000 --> 00:05:53,080
+So the horizontal effect is based out 4 out of 10
+
+52
+00:05:53,080 --> 00:06:00,020
+prism and the vertical effect is 4 out of 10 prism
+
+53
+00:06:00,020 --> 00:06:02,560
+based down
+
+54
+00:06:13,070 --> 00:06:19,230
+Go to Horizontal Effect, it's here,
+
+55
+00:06:19,690 --> 00:06:28,750
+and press CTRL X and CTRL V, it will look like
+
+56
+00:06:28,750 --> 00:06:28,970
+this
+
+57
+00:06:32,070 --> 00:06:36,270
+to compare vertical
+
+58
+00:06:36,270 --> 00:06:39,230
+with vertical and horizontal with horizontal we
+
+59
+00:06:39,230 --> 00:06:43,250
+come to the left eye the left eye the horizontal
+
+60
+00:06:43,250 --> 00:06:49,750
+effect decentered outward 5mm to outside 5mm and
+
+61
+00:06:49,750 --> 00:06:54,610
+it should be like this
+
+62
+00:06:54,610 --> 00:06:56,630
+exactly in front of the pupil it became
+
+63
+00:06:56,630 --> 00:07:00,350
+decentration outward so I also have a base out
+
+64
+00:07:00,350 --> 00:07:05,650
+effectجداش مقداره؟ طبعاً لما بيقول horizontal
+
+65
+00:07:05,650 --> 00:07:07,130
+effect left
+
+66
+00:07:24,080 --> 00:07:27,460
+Horizontal prismatic effect on the left eye is
+
+67
+00:07:27,460 --> 00:07:29,540
+called the Bayes out effect
+
+68
+00:08:00,870 --> 00:08:11,650
+H5mmD5.5cmD5.5cmD5.5cmD5.5cmD5.5cmD5.5cmD5.5cmD5
+
+69
+00:08:11,650 --> 00:08:11,670
+.5cm
+
+70
+00:08:26,000 --> 00:08:33,780
+We say 5 times 5.5 equals
+
+71
+00:08:33,780 --> 00:08:46,920
+27.5 which is 72.75% 2.75% Prism Diopter Base Out
+
+72
+00:08:46,920 --> 00:08:52,520
+2.75% Base Out of course this is the horizontal
+
+73
+00:08:52,520 --> 00:08:53,480
+effect of
+
+74
+00:08:56,220 --> 00:08:58,820
+the left eye now we need the vertical effect of
+
+75
+00:08:58,820 --> 00:09:02,660
+the left eye which
+
+76
+00:09:02,660 --> 00:09:12,620
+is vertical effect left which
+
+77
+00:09:12,620 --> 00:09:17,740
+is how much it equals we remove the horizontal
+
+78
+00:09:17,740 --> 00:09:23,980
+effect and
+
+79
+00:09:23,980 --> 00:09:24,780
+we bring the vertical
+
+80
+00:09:30,260 --> 00:09:33,120
+vertical is the section of the plus lens which is
+
+81
+00:09:33,120 --> 00:09:36,640
+supposed to be exactly the center of the pupil but
+
+82
+00:09:36,640 --> 00:09:43,320
+it has a decentration of up up to 7 mm the eye
+
+83
+00:09:43,320 --> 00:09:47,780
+looks through the prism with its base up so base
+
+84
+00:09:47,780 --> 00:09:56,240
+up the prism base up effect how much is it? it is
+
+85
+00:09:56,240 --> 00:09:57,240
+equal to hvd
+
+86
+00:09:59,990 --> 00:10:06,090
+ويساوي H 7 mili يعني سبعة من عشرة سنتة في دي ضرب
+
+87
+00:10:06,090 --> 00:10:14,450
+اللي هي خمسة و نص ديوتر ويساوي سبعة من عشرة في
+
+88
+00:10:14,450 --> 00:10:23,970
+خمسة و نص لو قولنا سبعة من عشرة ضرب خمسة
+
+89
+00:10:23,970 --> 00:10:24,390
+و نص
+
+90
+00:10:31,040 --> 00:10:45,380
+This is the
+
+91
+00:10:45,380 --> 00:10:47,140
+vertical effect for the left and this is the
+
+92
+00:10:47,140 --> 00:10:49,820
+vertical effect for the right We will see if we
+
+93
+00:10:49,820 --> 00:10:52,420
+need to add them or subtract them to get the total
+
+94
+00:10:53,700 --> 00:10:56,420
+and the horizontal effect is the same case we will
+
+95
+00:10:56,420 --> 00:11:00,540
+see if we will combine them or divide them so we
+
+96
+00:11:00,540 --> 00:11:19,380
+need to understand this case first
+
+97
+00:11:19,380 --> 00:11:20,220
+thing we will see is
+
+98
+00:11:25,700 --> 00:11:26,940
+Horizontal effect
+
+99
+00:12:16,580 --> 00:12:19,720
+here I have a base out and here I have a base out
+
+100
+00:12:19,720 --> 00:12:27,180
+base out and here I also have a base out so the
+
+101
+00:12:27,180 --> 00:12:29,320
+picture of the left eye will point to the right
+
+102
+00:12:29,320 --> 00:12:32,580
+towards the apex of the prism in front of it and
+
+103
+00:12:32,580 --> 00:12:35,120
+the picture of the right eye will point to the
+
+104
+00:12:35,120 --> 00:12:39,010
+left so the picture of the right eyeit will go to
+
+105
+00:12:39,010 --> 00:12:41,990
+the left if we want to represent it with an arrow
+
+106
+00:12:41,990 --> 00:12:47,270
+the right eye will go like this and the left eye
+
+107
+00:12:47,270 --> 00:12:53,010
+will go like this we talked about a rule in
+
+108
+00:12:53,010 --> 00:12:56,310
+previous lessons if the apex is in the same
+
+109
+00:12:56,310 --> 00:12:59,890
+direction as the apex, we put it but here the apex
+
+110
+00:12:59,890 --> 00:13:02,330
+is going to the left and this apex is going to the
+
+111
+00:13:02,330 --> 00:13:06,750
+right so we put them together so the total
+
+112
+00:13:06,750 --> 00:13:07,950
+horizontal effect
+
+113
+00:13:15,210 --> 00:13:33,130
+total horizontal effect how much? 4.8% plus 72.75%
+
+114
+00:13:33,130 --> 00:13:40,470
+and
+
+115
+00:13:40,470 --> 00:13:40,690
+equals
+
+116
+00:13:47,360 --> 00:13:57,680
+Here 4.8 out of 10 plus 2.75 out of 100 is equal
+
+117
+00:13:57,680 --> 00:14:04,940
+to 7.55
+
+118
+00:14:04,940 --> 00:14:07,260
+out of 100 prism diopters
+
+119
+00:14:20,720 --> 00:14:24,500
+base out either in front of the right or the left,
+
+120
+00:14:24,540 --> 00:14:29,280
+there is no problem before we explain this, we
+
+121
+00:14:29,280 --> 00:14:31,780
+want to say as follows the picture of the left eye
+
+122
+00:14:31,780 --> 00:14:34,660
+will go to the right towards the apex of the prism
+
+123
+00:14:34,660 --> 00:14:38,740
+and the picture of the right eye will go to the
+
+124
+00:14:38,740 --> 00:14:42,780
+left towards the apex of the prism in front of the
+
+125
+00:14:42,780 --> 00:14:46,100
+right eye if the force of the prism increasesit
+
+126
+00:14:46,100 --> 00:14:49,220
+will go farther and farther and if this increases
+
+127
+00:14:49,220 --> 00:14:50,900
+the force of the prism, it will go farther and
+
+128
+00:14:50,900 --> 00:14:52,580
+farther, so we add, the distance between them
+
+129
+00:14:52,580 --> 00:14:55,560
+increases because the apex is opposite to the
+
+130
+00:14:55,560 --> 00:14:57,540
+apex, this one is going right and this one is
+
+131
+00:14:57,540 --> 00:15:03,240
+going left okay, now we gather and we get this
+
+132
+00:15:03,240 --> 00:15:06,300
+amount, please out in front of which eye? no, they
+
+133
+00:15:06,300 --> 00:15:08,480
+are in front of which eye, I can say in front of
+
+134
+00:15:08,480 --> 00:15:11,640
+the right eyein front of the right eye, it's like
+
+135
+00:15:11,640 --> 00:15:13,220
+I'm saying that the left eye has its picture in
+
+136
+00:15:13,220 --> 00:15:15,780
+front of it directly and all the distance that the
+
+137
+00:15:15,780 --> 00:15:18,440
+eye has relaxed or the distortion of the picture
+
+138
+00:15:18,440 --> 00:15:21,580
+of the right eye, I can say that it's like there
+
+139
+00:15:21,580 --> 00:15:23,840
+is no prism in front of the left eye and there is
+
+140
+00:15:23,840 --> 00:15:26,260
+seven and fifty-five percent of the prism in front
+
+141
+00:15:26,260 --> 00:15:29,000
+of the right eye or vice versa, I can say that the
+
+142
+00:15:29,000 --> 00:15:30,840
+right eye has its picture in front of it and the
+
+143
+00:15:30,840 --> 00:15:33,840
+left eye has its picture distortedto the right by
+
+144
+00:15:33,840 --> 00:15:39,180
+7.55% prism Ok, we're done here Does this affect?
+
+145
+00:15:39,360 --> 00:15:42,240
+No, a person can handle a horizontal effect more
+
+146
+00:15:42,240 --> 00:15:45,340
+than 10 and sometimes more than 15 and sometimes
+
+147
+00:15:45,340 --> 00:15:48,280
+more than 20 especially based out, which means
+
+148
+00:15:48,280 --> 00:15:51,040
+convergence this eye went to the right and this
+
+149
+00:15:51,040 --> 00:15:53,060
+eye went to the left which means it made a
+
+150
+00:15:53,060 --> 00:15:56,280
+convergence it can handle even reaching 20 or
+
+151
+00:15:56,280 --> 00:16:01,860
+more, this is called a prism can tolerateال
+
+152
+00:16:01,860 --> 00:16:08,420
+patient can tolerate يعني بيقدر يتحمل أو can be
+
+153
+00:16:08,420 --> 00:16:16,120
+tolerated هذه الكمية ممكن this
+
+154
+00:16:16,120 --> 00:16:19,320
+amount can be tolerated يعني ممكن يتحملها الإنسان
+
+155
+00:16:19,320 --> 00:16:24,040
+نيجي لل vertical effect ال total vertical effect
+
+156
+00:16:40,280 --> 00:16:48,200
+total vertical effect now we come here delete some
+
+157
+00:16:48,200 --> 00:16:52,680
+things to put in our drawing what we want
+
+158
+00:17:25,840 --> 00:17:29,240
+So I have here, based down in front of the right
+
+159
+00:17:29,240 --> 00:17:35,980
+eye and based up in front of the left eye Based up
+
+160
+00:17:35,980 --> 00:17:42,020
+in front of the left eye And
+
+161
+00:17:42,020 --> 00:17:50,900
+based down in front of the right eye So
+
+162
+00:17:50,900 --> 00:17:54,430
+the picture for the right eye came outbecause the
+
+163
+00:17:54,430 --> 00:17:56,790
+apex is up and the picture for the left eye is
+
+164
+00:17:56,790 --> 00:18:01,170
+down because the apex is down so we need to add
+
+165
+00:18:01,170 --> 00:18:03,450
+the total because this went up two degrees for
+
+166
+00:18:03,450 --> 00:18:05,710
+example the picture went up two degrees and this
+
+167
+00:18:05,710 --> 00:18:08,370
+picture itself went down two degrees so the total
+
+168
+00:18:08,370 --> 00:18:14,150
+effect will be total so
+
+169
+00:18:14,150 --> 00:18:20,090
+the total effect is four and two out of ten plus
+
+170
+00:18:21,790 --> 00:18:33,170
+تلاتة و خمسة و تمانين من المية و يساوي اربعة
+
+171
+00:18:33,170 --> 00:18:40,730
+و اتنين من عشرة زائد تلاتة و خمسة و تمانين من
+
+172
+00:18:40,730 --> 00:18:48,430
+المية و يساوي تمانية و خمسة من المية Prism تمانية
+
+173
+00:18:49,800 --> 00:18:55,540
+point 5 من 100 prism أقول
+
+174
+00:18:55,540 --> 00:19:02,200
+base up ولا base down ممكن أقول base up before
+
+175
+00:19:02,200 --> 00:19:12,540
+left eye قدام العين الشمال or نفس الرقم 5 و 8 من
+
+176
+00:19:12,540 --> 00:19:22,770
+100 prism or base downbefore right eye يعني بنقول
+
+177
+00:19:22,770 --> 00:19:27,490
+ممكن نعتبر أنه صورة العين الشمال أمام العين بالضبط
+
+178
+00:19:27,490 --> 00:19:31,890
+ما نزلتش، ما نزلتش وإنه كل الكمية هاي اللي خمسة و
+
+179
+00:19:31,890 --> 00:19:35,250
+تمانية و خمسة من مية صورة العين اليمين طلعت لفوق
+
+180
+00:19:35,250 --> 00:19:39,490
+أو العكس بقدر أقول صورة العين اليمين ثابتة قدامها
+
+181
+00:19:39,490 --> 00:19:44,570
+ما طلعتش وهادي صورتها نزلت بمقدار تمانية و خمسة من
+
+182
+00:19:44,570 --> 00:19:57,340
+مية طيب، الآنcan't be tolerated will
+
+183
+00:19:57,340 --> 00:20:01,260
+cause vertical diplopia
+
+184
+00:20:06,480 --> 00:20:08,620
+What does it mean will cause vertical diplopia? It
+
+185
+00:20:08,620 --> 00:20:11,480
+will cause him headaches. I mean when he wears
+
+186
+00:20:11,480 --> 00:20:15,080
+glasses, why? Because a person can bear up to
+
+187
+00:20:15,080 --> 00:20:19,100
+three maximum vertical effects. I mean from two to
+
+188
+00:20:19,100 --> 00:20:21,980
+three prisms, yes tolerated. But eight prisms will
+
+189
+00:20:21,980 --> 00:20:25,680
+cause him vertical diplopia. I mean he will see
+
+190
+00:20:25,680 --> 00:20:29,560
+two things, but above each other. Above each
+
+191
+00:20:29,560 --> 00:20:31,740
+other. Let's see an example.
+
+192
+00:20:47,360 --> 00:20:50,540
+انها ده مثال واضح، هاي ال vertical diplopia، لما
+
+193
+00:20:50,540 --> 00:20:54,960
+بتطلع الجلم، بيصير يشوفوا جلمين فوق بعض، فوق بعض،
+
+194
+00:20:54,960 --> 00:20:57,460
+هد هي ك horizontal، لأ مش هيصير عنده horizontal،
+
+195
+00:20:57,460 --> 00:21:01,020
+هيصير عنده vertical، هد النضارة لازم تتغير، هد
+
+196
+00:21:01,020 --> 00:21:04,420
+النضارة لا يمكن المريض، يعني المريض لو أصفناله
+
+197
+00:21:04,420 --> 00:21:08,960
+إياها بهد ال decentrationيعني مش هيتحمله و هيجي
+
+198
+00:21:08,960 --> 00:21:13,680
+يعني سريعا يحكي أنه أنا بشوف الحاجة حاجتين، هيك
+
+199
+00:21:13,680 --> 00:21:16,300
+بتنتهي المسألة و يعطيكم العافية و السلام عليكم و
+
+200
+00:21:16,300 --> 00:21:17,820
+رحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/8PuHUF_1w_g_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/8PuHUF_1w_g_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c46eda52550c93c3a4692cd294cfd3f0b5e192ab
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/8PuHUF_1w_g_postprocess.srt
@@ -0,0 +1,3036 @@
+1
+00:00:01,770 --> 00:00:04,810
+Bismillah ar-Rahman ar-Rahim، بنواصل مع محاضرات
+
+2
+00:00:04,810 --> 00:00:08,630
+الـ Geometric Optics ووصلنا عند الـ Optical
+
+3
+00:00:08,630 --> 00:00:13,050
+Aberration أو الزيغ البصري، الزيغ البصري والمقصود
+
+4
+00:00:13,050 --> 00:00:19,400
+فيه يعني ..The point is that when it goes through
+
+5
+00:00:19,400 --> 00:00:23,760
+the light through the optical system, does it make
+
+6
+00:00:23,760 --> 00:00:26,400
+it a stigmatic image, which means a perfect image,
+
+7
+00:00:26,880 --> 00:00:29,460
+or does it not make it a perfect image? If it
+
+8
+00:00:29,460 --> 00:00:31,920
+makes it a perfect image, it is called a stigmatic
+
+9
+00:00:31,920 --> 00:00:35,180
+image Of course, a stigmatic image means that
+
+10
+00:00:35,180 --> 00:00:38,200
+there is no aberration Any deviation or any
+
+11
+00:00:38,200 --> 00:00:41,960
+distanceon the stigmatic imaging is called
+
+12
+00:00:41,960 --> 00:00:46,800
+aberrations in paraxial optics the focus is
+
+13
+00:00:46,800 --> 00:00:51,700
+essentially stigmatic if we summarize things on
+
+14
+00:00:51,700 --> 00:00:56,260
+the paraxial rays around the optical axis the
+
+15
+00:00:56,260 --> 00:01:00,400
+focus is often stigmatic as for the peripheral or
+
+16
+00:01:00,400 --> 00:01:04,580
+non-paraxial rays they do not necessarily focus
+
+17
+00:01:04,580 --> 00:01:10,900
+stigmaticallyAny deviation from stigmatic imaging
+
+18
+00:01:10,900 --> 00:01:12,420
+are called aberrations.
+
+19
+00:01:16,800 --> 00:01:21,000
+Aberrations are divided into monochromatic and
+
+20
+00:01:21,000 --> 00:01:28,010
+chromaticSome colours appear in a chromatic
+
+21
+00:01:28,010 --> 00:01:30,890
+aberration, chromatic aberration, a white light
+
+22
+00:01:30,890 --> 00:01:33,810
+entering the optical system, coming out, which
+
+23
+00:01:33,810 --> 00:01:37,830
+means it is related to the complex colours or
+
+24
+00:01:37,830 --> 00:01:43,110
+spectrumAs for the other type of aberration or the
+
+25
+00:01:43,110 --> 00:01:45,770
+other group, it is called monochromatic, the white
+
+26
+00:01:45,770 --> 00:01:49,430
+light remains white, but the point source of light
+
+27
+00:01:49,430 --> 00:01:55,170
+of the object is not point but point spread
+
+28
+00:01:55,170 --> 00:01:59,050
+function in one way or another So aberrations are
+
+29
+00:01:59,050 --> 00:02:04,050
+divided into monochromatic and chromatic formsThe
+
+30
+00:02:04,050 --> 00:02:08,410
+two most common monochromatic aberrations are
+
+31
+00:02:08,410 --> 00:02:13,150
+defocus and regular astigmatism لو أجينا نفسر عن
+
+32
+00:02:13,150 --> 00:02:16,930
+ال .. ال monochromatic aberration إيش تقسيماته، ال
+
+33
+00:02:16,930 --> 00:02:21,290
+monochromatic aberration تنقسم لdefocusand regular
+
+34
+00:02:21,290 --> 00:02:24,690
+astigmatism, which means the defocus is the
+
+35
+00:02:24,690 --> 00:02:27,790
+monochromatic aberrations that show that I don't
+
+36
+00:02:27,790 --> 00:02:31,410
+have a good focus for example, myopia and another
+
+37
+00:02:31,410 --> 00:02:35,570
+example, hypermetropia or myopic and hypermetropic
+
+38
+00:02:35,570 --> 00:02:40,170
+spherical refractive error the regular astigmatism
+
+39
+00:02:40,170 --> 00:02:43,170
+which we will talk about shortly by God's will
+
+40
+00:02:43,950 --> 00:02:48,290
+Let's see the structure of aberrations Our goal of
+
+41
+00:02:48,290 --> 00:02:52,650
+aberrations is any deviation from the stigmatic
+
+42
+00:02:52,650 --> 00:02:55,030
+imaging The aberrations are divided into
+
+43
+00:02:55,030 --> 00:02:58,650
+monochromatic and chromatic Chromatic means that
+
+44
+00:02:58,650 --> 00:03:00,830
+the white light that entered the optical system
+
+45
+00:03:00,830 --> 00:03:04,810
+became non-white after leaving the optical system
+
+46
+00:03:04,810 --> 00:03:11,210
+and was analyzed to its typical configurationnot
+
+47
+00:03:11,210 --> 00:03:13,770
+our topic for chromatic aberration as much as our
+
+48
+00:03:13,770 --> 00:03:17,150
+topic which is monochromatic aberration which is
+
+49
+00:03:17,150 --> 00:03:20,810
+deviation from stigmatic imaging only for one
+
+50
+00:03:20,810 --> 00:03:24,030
+reason or another the divisions of monochromatic
+
+51
+00:03:24,030 --> 00:03:28,510
+aberration are defocus and regular astigmatism the
+
+52
+00:03:28,510 --> 00:03:33,770
+defocus is divided into myopia and hypermetropia
+
+53
+00:03:33,770 --> 00:03:38,010
+myopia and hypermetropia monochromatic
+
+54
+00:03:40,050 --> 00:03:42,750
+aberration also has another type other than
+
+55
+00:03:42,750 --> 00:03:46,030
+defocus which is regular astigmatism. In myopia,
+
+56
+00:03:46,210 --> 00:03:48,870
+of course, the defocus is in front of the retina.
+
+57
+00:03:49,550 --> 00:03:53,830
+In hypermetropia, the defocus is behind the
+
+58
+00:03:53,830 --> 00:03:56,890
+retina. In both cases, there is no focus on the
+
+59
+00:03:56,890 --> 00:04:01,090
+retina or there is no focus on the rays that
+
+60
+00:04:01,090 --> 00:04:03,290
+entered the optical system, which is the eye,
+
+61
+00:04:03,650 --> 00:04:06,630
+cornea and crystalline lens. There is no focus or
+
+62
+00:04:06,630 --> 00:04:08,970
+their focus is either in front of the retinaor
+
+63
+00:04:08,970 --> 00:04:12,350
+behind the retina We're going to talk about the
+
+64
+00:04:12,350 --> 00:04:18,770
+regular astigmatism in more detailBut we want to
+
+65
+00:04:18,770 --> 00:04:22,970
+do some things that lead to this case. So this is
+
+66
+00:04:22,970 --> 00:04:26,470
+the simplified distribution of aberrations. Why
+
+67
+00:04:26,470 --> 00:04:29,870
+chromatic and monochromatic? The monochromatic is
+
+68
+00:04:29,870 --> 00:04:33,270
+divided into defocus and regular astigmatism. And
+
+69
+00:04:33,270 --> 00:04:35,710
+defocus is divided into myopia and hypermetropia.
+
+70
+00:04:35,790 --> 00:04:38,210
+And these are simple refractive errors that can be
+
+71
+00:04:38,210 --> 00:04:42,190
+treated simply with glasses or any other means,
+
+72
+00:04:42,750 --> 00:04:45,850
+such as adhesive lenses or similar.Regular
+
+73
+00:04:45,850 --> 00:04:50,930
+astigmatism can also be treated with glasses or
+
+74
+00:04:50,930 --> 00:04:57,750
+other tools such as laser vision correction. Now
+
+75
+00:04:57,750 --> 00:05:02,010
+we will talk about some things that are used in
+
+76
+00:05:02,010 --> 00:05:04,990
+measuring aberration. The clinical application of
+
+77
+00:05:04,990 --> 00:05:09,370
+wavefront aberometry makes it possible to measure
+
+78
+00:05:09,370 --> 00:05:11,250
+higher order aberrations.
+
+79
+00:05:14,500 --> 00:05:18,440
+في ما يسمى high order aberrations high order
+
+80
+00:05:18,440 --> 00:05:23,060
+aberrations اللي هي الزيغ المعقد الزيغ المعقد أو
+
+81
+00:05:23,060 --> 00:05:26,800
+الغير منتظم أو اللي أكثر تعقيدا من الأشياء اللي
+
+82
+00:05:26,800 --> 00:05:30,400
+ذكرناها من الmiopia و الhypermetropia و ال regular
+
+83
+00:05:30,400 --> 00:05:34,700
+astigmatism في عندي high order aberration بجيسها
+
+84
+00:05:37,430 --> 00:05:42,770
+The clinical application of wavefront aperometry
+
+85
+00:05:42,770 --> 00:05:47,250
+makes it possible to measure high order or higher
+
+86
+00:05:47,250 --> 00:05:48,530
+order aberration
+
+87
+00:05:57,870 --> 00:06:02,450
+كل موجة تسمى الجبهة الموجية wave front wave front
+
+88
+00:06:02,450 --> 00:06:05,910
+يعني هذه جبهة موجية، هذه جبهة موجية، هذه جبهة
+
+89
+00:06:05,910 --> 00:06:10,350
+موجية، هذه الجبهة الموجية، بس تدخل في optical
+
+90
+00:06:10,350 --> 00:06:14,860
+system، الموجاتحسب منطقة الدخولة من ال optical
+
+91
+00:06:14,860 --> 00:06:19,340
+system ممكن ما تكونش يعني موجات الضوء ما .. ما
+
+92
+00:06:19,340 --> 00:06:23,220
+تصبعش مع بعض، يصير في تعريج فيها، يصير في تعريج
+
+93
+00:06:23,220 --> 00:06:27,420
+فيها، بسموها يعني صار في عندي تعريج في ال wave,
+
+94
+00:06:27,480 --> 00:06:31,600
+front بتاعة ال light waves, high one light wave
+
+95
+00:06:32,440 --> 00:06:34,960
+This is the second, this is the third, they walk
+
+96
+00:06:34,960 --> 00:06:37,780
+together because they started from the object at
+
+97
+00:06:37,780 --> 00:06:40,400
+the same moment. But when they enter the optical
+
+98
+00:06:40,400 --> 00:06:43,160
+system, they enter, for example, the crystalline
+
+99
+00:06:43,160 --> 00:06:45,760
+lens of the human eye, the edges of the
+
+100
+00:06:45,760 --> 00:06:48,740
+crystalline lens are less thick, the middle of the
+
+101
+00:06:48,740 --> 00:06:51,960
+crystalline lens is thicker, so the light that
+
+102
+00:06:51,960 --> 00:06:54,600
+entered or the light waves that entered from the
+
+103
+00:06:54,600 --> 00:06:58,200
+middle of the lenscrystalline lens will get worse
+
+104
+00:06:58,200 --> 00:07:00,580
+because it will move in the middle of high
+
+105
+00:07:00,580 --> 00:07:05,560
+density, high refractive index so the waves will
+
+106
+00:07:05,560 --> 00:07:09,200
+move together, but after passing through the
+
+107
+00:07:09,200 --> 00:07:12,740
+optical system, they will not move together which
+
+108
+00:07:12,740 --> 00:07:17,680
+is their face or wave front, their wave front
+
+109
+00:07:17,680 --> 00:07:21,460
+there is a device that measures the wave frontthey
+
+110
+00:07:21,460 --> 00:07:25,180
+do analysis and see the aberration that can occur
+
+111
+00:07:25,180 --> 00:07:29,280
+because of this optical system so wavefront
+
+112
+00:07:29,280 --> 00:07:32,540
+aperometry makes it possible to measure higher
+
+113
+00:07:32,540 --> 00:07:36,180
+order aberration in the past, there were many
+
+114
+00:07:36,180 --> 00:07:40,290
+types of higher order aberrationA lot, a lot, we
+
+115
+00:07:40,290 --> 00:07:42,830
+.. we know what is the lower order aberration,
+
+116
+00:07:43,050 --> 00:07:45,750
+they call it a simple lower order aberration, we
+
+117
+00:07:45,750 --> 00:07:47,870
+know myopia and hypermetropia and regular
+
+118
+00:07:47,870 --> 00:07:51,570
+astigmatism, which is regular astigmatism, while
+
+119
+00:07:51,570 --> 00:07:55,210
+the higher order aberrations are very many types,
+
+120
+00:07:55,710 --> 00:07:58,970
+in the past they included them in one term, which
+
+121
+00:07:58,970 --> 00:08:01,770
+is a term, they call it a categorical term, and
+
+122
+00:08:01,770 --> 00:08:06,530
+it's like a categorization in every ..hubba-wubba
+
+123
+00:08:06,530 --> 00:08:10,010
+of all kinds of science and knowledge, so the term
+
+124
+00:08:10,010 --> 00:08:11,990
+they used to describe it was called irregular
+
+125
+00:08:11,990 --> 00:08:15,210
+astigmatism Now they stopped using irregular
+
+126
+00:08:15,210 --> 00:08:18,710
+astigmatism, why? Because they invented the
+
+127
+00:08:18,710 --> 00:08:22,570
+apirometry devices that measure the wave front and
+
+128
+00:08:22,570 --> 00:08:26,250
+do analysis, analysis, and deduce from it the
+
+129
+00:08:26,250 --> 00:08:29,230
+types of aberrations that the optical system can
+
+130
+00:08:29,230 --> 00:08:34,670
+do to itOne of the most famous types in high order
+
+131
+00:08:34,670 --> 00:08:39,870
+aberration is called coma, spherical aberration,
+
+132
+00:08:40,430 --> 00:08:43,190
+and trefoil Of course there are other types like
+
+133
+00:08:43,190 --> 00:08:47,750
+tetrafoil, pentafoil, and many others But we
+
+134
+00:08:47,750 --> 00:08:53,170
+should focus on the higher order aberration, coma,
+
+135
+00:08:53,850 --> 00:08:57,690
+spherical aberration, and trefoilWhat do we mean
+
+136
+00:08:57,690 --> 00:09:00,850
+by coma? What do we mean by spherical aberration?
+
+137
+00:09:01,210 --> 00:09:04,670
+And what do we mean by trefoil? Before we say what
+
+138
+00:09:04,670 --> 00:09:07,390
+we mean, we also make sure that the light emits
+
+139
+00:09:07,390 --> 00:09:13,790
+electromagnetic waves. And these waves emitted
+
+140
+00:09:13,790 --> 00:09:17,890
+together form a wave front. Wave front is the
+
+141
+00:09:17,890 --> 00:09:21,330
+precursor of light waves. It is called wave front
+
+142
+00:09:21,330 --> 00:09:25,170
+analysis. It enters the lens. After exiting the
+
+143
+00:09:25,170 --> 00:09:29,720
+lens,مستواها بيكونش واحد .. مستواها بيكونش واحد ..
+
+144
+00:09:29,720 --> 00:09:29,860
+مستواها بيكونش واحد .. مستواها بيكونش واحد ..
+
+145
+00:09:29,860 --> 00:09:30,840
+مستواها بيكونش واحد .. مستواها بيكونش واحد ..
+
+146
+00:09:30,840 --> 00:09:32,180
+مستواها بيكونش واحد .. مستواها بيكونش واحد ..
+
+147
+00:09:32,180 --> 00:09:33,900
+مستواها بيكونش واحد .. مستواها بيكونش واحد ..
+
+148
+00:09:33,900 --> 00:09:39,960
+مستواها بيكونش واحد .. مستواها بيكونش واحد ..
+
+149
+00:09:39,960 --> 00:09:43,860
+مستواها بيكونش واحد .. مستواها بيكونش واحد ..
+
+150
+00:09:43,860 --> 00:09:50,220
+مستواها بيكونش واحد .. مستواها بيكونش واحد ..
+
+151
+00:09:50,220 --> 00:09:51,520
+مستواها بيكونش واحد .. مستواها بيكونش واحد ..
+
+152
+00:09:51,520 --> 00:09:54,900
+مستواها بيكونش واحد .. مستواها بيكونش واحد ..
+
+153
+00:09:54,900 --> 00:09:57,480
+مستواهاComma means the magnified, from the word
+
+154
+00:09:57,480 --> 00:10:00,440
+comet, the magnified, so it becomes the shape of
+
+155
+00:10:00,440 --> 00:10:04,400
+the light spot, it becomes like this in the
+
+156
+00:10:04,400 --> 00:10:07,040
+picture, so this is called comma aberration Is
+
+157
+00:10:07,040 --> 00:10:11,060
+this the nature of the point from which the light
+
+158
+00:10:11,060 --> 00:10:12,340
+is emitted? Of course not, this is the nature of
+
+159
+00:10:12,340 --> 00:10:15,020
+the point from which the light is emitted, so this
+
+160
+00:10:15,020 --> 00:10:19,300
+issue is very important to be clear The second
+
+161
+00:10:19,300 --> 00:10:24,360
+type is the spherical aberrationIt is a spherical
+
+162
+00:10:24,360 --> 00:10:27,620
+wave of the minimum light in the intensity of the
+
+163
+00:10:27,620 --> 00:10:30,840
+light around the point image Here there is no
+
+164
+00:10:30,840 --> 00:10:34,160
+aberration, the point image is a point, okay? Or
+
+165
+00:10:34,160 --> 00:10:37,000
+the point, the object is not drawn, here are four
+
+166
+00:10:37,000 --> 00:10:40,660
+images for points without aberration Here are four
+
+167
+00:10:40,660 --> 00:10:43,280
+images for the same points with the presence of
+
+168
+00:10:43,280 --> 00:10:45,340
+the spherical aberration, it is clear that the
+
+169
+00:10:45,340 --> 00:10:48,600
+image is fixed and has become around the point
+
+170
+00:10:48,600 --> 00:10:52,480
+image in itmeans a wave of white light, this is
+
+171
+00:10:52,480 --> 00:10:54,900
+called spherical aberration, and this is also
+
+172
+00:10:54,900 --> 00:10:58,360
+different from the stigmatic imaging Now let's
+
+173
+00:10:58,360 --> 00:11:07,740
+talk about the trefoil, the point becomes like a
+
+174
+00:11:07,740 --> 00:11:14,010
+point spread function of trianglesكأنها يعني وهج
+
+175
+00:11:14,010 --> 00:11:19,570
+ثلاثي الشعب، فبيسموها Trefoil، بيسموها Trefoil،
+
+176
+00:11:19,570 --> 00:11:23,890
+هنا نفس الاشي دهرة، و هنا دهرة بس حجمها أسرع، هنا
+
+177
+00:11:23,890 --> 00:11:27,810
+لما بيكون عندي أنا مافيش aberration بالمرة، لا low
+
+178
+00:11:27,810 --> 00:11:31,010
+order aberration، لا myopia، هي minus نص myopia،
+
+179
+00:11:31,010 --> 00:11:34,570
+minus واحد myopia، هنا plus واحد .. plus نص
+
+180
+00:11:34,570 --> 00:11:37,750
+hypermetropia و plus واحد hypermetropia، الصورة،
+
+181
+00:11:37,750 --> 00:11:41,690
+النقطة هي صورتهاmeans we are able to see it
+
+182
+00:11:41,690 --> 00:11:44,090
+because the point is something consistent in the
+
+183
+00:11:44,090 --> 00:11:47,410
+character, in the character Okay, this point, if a
+
+184
+00:11:47,410 --> 00:11:49,990
+person doesn't have low order aberration, doesn't
+
+185
+00:11:49,990 --> 00:11:53,410
+have myopia, doesn't have hypermetropia, doesn't
+
+186
+00:11:53,410 --> 00:11:57,790
+have this problem, but has high order aberration,
+
+187
+00:11:57,890 --> 00:12:01,110
+has a lump, it will look like this Let's go to a
+
+188
+00:12:01,110 --> 00:12:05,690
+big picture to make the picture clearerما عنده لا
+
+189
+00:12:05,690 --> 00:12:08,630
+myopia، يعني الصورة بتيجي على ال retina، بس بتيجيش
+
+190
+00:12:08,630 --> 00:12:11,710
+على ال retina بشكل نقطة، بيصير ال focusing على ال
+
+191
+00:12:11,710 --> 00:12:17,250
+retina بشكل كومة أو بشكل ال trefoilSo therefore,
+
+192
+00:12:17,750 --> 00:12:20,690
+it is necessary to know that even if a person does
+
+193
+00:12:20,690 --> 00:12:24,270
+not have low order aberration, sometimes laser
+
+194
+00:12:24,270 --> 00:12:27,350
+vision correction, some operations are aimed to
+
+195
+00:12:27,350 --> 00:12:31,910
+get rid of the higher order aberration, because
+
+196
+00:12:31,910 --> 00:12:34,310
+sometimes it is annoying It is true that the
+
+197
+00:12:34,310 --> 00:12:39,050
+vision is 6 on 6, but the quality of vision is
+
+198
+00:12:39,050 --> 00:12:43,140
+moderateيعني ب .. بشوف مثلا خط الستة ع ستة بس مش
+
+199
+00:12:43,140 --> 00:12:47,280
+بhigh quality كما هو مطلوب، كما هو مطلوب وإنما
+
+200
+00:12:47,280 --> 00:12:50,500
+بشوف .. و هذا طبعا ممكن الناس يقول هذا ال .. ال ..
+
+201
+00:12:50,500 --> 00:12:54,320
+ال .. الصور يعني بسيطة ومش معقدة، هذه الصور نقطة
+
+202
+00:12:54,320 --> 00:12:59,180
+واحدة ومعروف إن ال object مكوّن من عدد لا نهائي من
+
+203
+00:12:59,180 --> 00:13:04,130
+النقاط، بس هذه يعني أبسط شيء ممكن يندرس أصبحيعني
+
+204
+00:13:04,130 --> 00:13:08,210
+أكثر تعقيدا مما هو عليه في حقيقة الأمر. فلمّا
+
+205
+00:13:08,210 --> 00:13:11,830
+بيكون الجسم مكوّن من نقاط عديدة، بيصير السؤال أمور
+
+206
+00:13:11,830 --> 00:13:20,180
+أصعب بكثير. إذا في عندي low order operationde
+
+207
+00:13:20,180 --> 00:13:23,360
+-focus, regular astigmatism, and high order
+
+208
+00:13:23,360 --> 00:13:28,180
+aberration, such as coma, spherical aberration,
+
+209
+00:13:28,660 --> 00:13:31,880
+and trefoil. Spherical aberration is particularly
+
+210
+00:13:31,880 --> 00:13:34,420
+relevant to higher order aberration in
+
+211
+00:13:34,420 --> 00:13:38,010
+keratorefractive surgery.Laser Refractive Surgery,
+
+212
+00:13:38,130 --> 00:13:44,890
+Laser Surgery, PRK Surgery, Smile Surgery, Laser
+
+213
+00:13:44,890 --> 00:13:48,510
+Vision Correction Surgery It is very important to
+
+214
+00:13:48,510 --> 00:13:52,130
+correct not only low order aberration that I have
+
+215
+00:13:52,130 --> 00:13:53,750
+shortness of breath that I want to correct, I have
+
+216
+00:13:53,750 --> 00:13:57,950
+height that I want to correct, but it also
+
+217
+00:13:57,950 --> 00:14:04,610
+corrects types of higher order aberrationand
+
+218
+00:14:04,610 --> 00:14:07,810
+especially these three things which are coma,
+
+219
+00:14:07,950 --> 00:14:11,690
+spherical aberration, and trefoil, and trefoil And
+
+220
+00:14:11,690 --> 00:14:15,990
+of course the medical schools talk about this
+
+221
+00:14:15,990 --> 00:14:19,770
+field, if I want to fix all kinds of high order
+
+222
+00:14:19,770 --> 00:14:22,780
+aberration, not just these threeSometimes I have
+
+223
+00:14:22,780 --> 00:14:24,920
+to take a bigger part of the equation or I will
+
+224
+00:14:24,920 --> 00:14:27,200
+have to take a bigger part of the equation and
+
+225
+00:14:27,200 --> 00:14:30,440
+maybe the patient will be in danger, so I fix the
+
+226
+00:14:30,440 --> 00:14:33,540
+most important types which are higher order
+
+227
+00:14:33,540 --> 00:14:35,260
+aberration, which is the comma, and spherical
+
+228
+00:14:35,260 --> 00:14:38,720
+aberration, and literary foil, of course if they
+
+229
+00:14:38,720 --> 00:14:42,740
+reach a certain degree of the annoying amount to
+
+230
+00:14:42,740 --> 00:14:50,000
+the patientنحكي عن regular astigmatism, regular
+
+231
+00:14:50,000 --> 00:14:53,040
+astigmatism, unlike the spherical lens service,
+
+232
+00:14:53,220 --> 00:14:56,260
+the astigmatic lens service does not have the same
+
+233
+00:14:56,260 --> 00:14:59,980
+curvature and refracting power in all meridians,
+
+234
+00:15:00,180 --> 00:15:04,820
+in all meridians يعني ال astigmatic lens أو ال
+
+235
+00:15:04,820 --> 00:15:09,460
+sphero cylindrical lens التحدوبها بتغير من
+
+236
+00:15:09,460 --> 00:15:12,760
+meridian ل meridian زي ما هنشوف بعد شوية يعني هنا
+
+237
+00:15:13,660 --> 00:15:17,820
+لو طلعنا على رسمة مكبرة، هاي عندي اللي باللون
+
+238
+00:15:17,820 --> 00:15:22,760
+الأصفر مرسومة، هي عبارة عن astigmatic lens،
+
+239
+00:15:22,760 --> 00:15:27,540
+astigmatic lens أو spherical lens وعندي أنا طبعا
+
+240
+00:15:27,540 --> 00:15:32,090
+فيها meridians كتيرة، الأبيض، اللي بعدهThe white
+
+241
+00:15:32,090 --> 00:15:34,510
+one is at 90 degrees and the blue one is at 180
+
+242
+00:15:34,510 --> 00:15:36,470
+degrees. And between them all the meridians, all
+
+243
+00:15:36,470 --> 00:15:39,070
+the places where the light will enter, is a full
+
+244
+00:15:39,070 --> 00:15:42,610
+lens. But it doesn't mean that I drew two
+
+245
+00:15:42,610 --> 00:15:44,130
+meridians, which means that the light will only
+
+246
+00:15:44,130 --> 00:15:46,630
+enter from these two meridians. It will enter from
+
+247
+00:15:46,630 --> 00:15:48,950
+this meridian, and this one, and this one, and
+
+248
+00:15:48,950 --> 00:15:53,510
+everything. Of course, in regular astigmatism, the
+
+249
+00:15:53,510 --> 00:15:58,150
+lens that has regular astigmatism means that this
+
+250
+00:15:58,150 --> 00:16:03,290
+meridianوال meridian هذا و ال meridians اللي بينهم
+
+251
+00:16:03,290 --> 00:16:05,090
+مختلفين في القوة و ال meridian هذا و ال meridians
+
+252
+00:16:05,090 --> 00:16:05,450
+اللي بينهم مختلفين في القوة و ال meridian هذا و ال
+
+253
+00:16:05,450 --> 00:16:06,670
+meridians اللي بينهم مختلفين في القوة بس ليش سمناه
+
+254
+00:16:06,670 --> 00:16:08,130
+regular astigmatism بس ليش سمناه regular
+
+255
+00:16:08,130 --> 00:16:12,350
+astigmatism لأنه هذا ال meridian له قوة معينة اللي
+
+256
+00:16:12,350 --> 00:16:19,110
+بعده أقل منه أقل أقل أقل أقل أقل أقل في تدرج منتظم
+
+257
+00:16:19,110 --> 00:16:23,240
+عشان هيك بيسموه regular astigmatismبمعنى آخر، لو
+
+258
+00:16:23,240 --> 00:16:26,620
+فرضت إنه هذا ال meridian قوته، هذا ال meridian
+
+259
+00:16:26,620 --> 00:16:31,180
+قوته مثلا أربعين ديوبتر، هذا اللي بعده تسعة و
+
+260
+00:16:31,180 --> 00:16:35,020
+تلاتين، اللي بعده تمانية و تلاتين، اللي بعده سبعة
+
+261
+00:16:35,020 --> 00:16:38,620
+و تلاتين، ستة و تلاتين، خمسة و تلاتين، إذا في تدرج
+
+262
+00:16:38,620 --> 00:16:45,350
+و في فرق منتظرمش مثلا بلاقي قوته اربعين ديوبتر،
+
+263
+00:16:45,350 --> 00:16:49,090
+بعدين تسعة و تلاتين، بعدين ستة و تلاتين، بعدين
+
+264
+00:16:49,090 --> 00:16:52,950
+تمانية و تلاتين، بشكل عشوائي، لأ، بتدرج من الأعلى
+
+265
+00:16:52,950 --> 00:16:57,930
+للأدنى أو من الأدنى للأعلى، يعني ممكن يكون هذا
+
+266
+00:16:57,930 --> 00:17:02,240
+الأدنى و هذا الأعلى، بس التدرج دائما منتظرAnd of
+
+267
+00:17:02,240 --> 00:17:05,440
+course this is a point, the second point, the
+
+268
+00:17:05,440 --> 00:17:08,760
+strongest meridian and the weakest meridian are 90
+
+269
+00:17:08,760 --> 00:17:11,380
+degrees between them So this is the regular
+
+270
+00:17:11,380 --> 00:17:15,300
+astigmatism So unlike the spherical lens service,
+
+271
+00:17:15,820 --> 00:17:19,760
+the astigmatic lens service does not have the same
+
+272
+00:17:19,760 --> 00:17:20,320
+curvature
+
+273
+00:17:30,920 --> 00:17:46,260
+The curvature of
+
+274
+00:17:46,260 --> 00:17:51,860
+an astigmatic lens variesthe astigmatic lens
+
+275
+00:17:51,860 --> 00:17:55,900
+diverges from a minimum value to a maximum value
+
+276
+00:17:55,900 --> 00:17:59,580
+with the extreme values, the extreme values of the
+
+277
+00:17:59,580 --> 00:18:02,880
+edges, meaning the minimum meridian force and the
+
+278
+00:18:02,880 --> 00:18:08,880
+maximum meridian force located in meridians 90
+
+279
+00:18:08,880 --> 00:18:14,300
+degrees apart. Thus, the refracting power varies
+
+280
+00:18:14,300 --> 00:18:18,090
+from one meridian to the nextand an astigmatic
+
+281
+00:18:18,090 --> 00:18:22,650
+service does not have single point of focus بمعنى
+
+282
+00:18:22,650 --> 00:18:27,930
+آخر طالما .. هاي عندي مثلاastigmatic lens, of
+
+283
+00:18:27,930 --> 00:18:30,450
+course here there's meridian and then there's
+
+284
+00:18:30,450 --> 00:18:34,050
+meridian, meridian at 90, meridian at 95, meridian
+
+285
+00:18:34,050 --> 00:18:37,010
+at 100, meridian at 105, of course, and what's
+
+286
+00:18:37,010 --> 00:18:40,070
+between them at 91 and 92, of course, all of this
+
+287
+00:18:40,070 --> 00:18:44,270
+are meridians, but here we are briefly showing the
+
+288
+00:18:44,270 --> 00:18:47,520
+picture, the meridian which is at 90The meridian
+
+289
+00:18:47,520 --> 00:18:51,760
+is drawn in red on 180 degrees The light will
+
+290
+00:18:51,760 --> 00:18:55,720
+start from the point source of light in all
+
+291
+00:18:55,720 --> 00:18:59,940
+directions A light beam will enter the vertical
+
+292
+00:18:59,940 --> 00:19:03,360
+meridian A light beam will enter the horizontal
+
+293
+00:19:03,360 --> 00:19:06,780
+meridian A third light beam will enter the oblique
+
+294
+00:19:06,780 --> 00:19:09,300
+meridian A fourth light beam will enter the second
+
+295
+00:19:09,300 --> 00:19:12,700
+oblique meridian and so on Each meridian will take
+
+296
+00:19:12,700 --> 00:19:18,670
+a share of the lightبما أنه قوة ال meridians
+
+297
+00:19:18,670 --> 00:19:22,990
+مختلفة عن بعضها البعض، إذا ال focus بتاعتها
+
+298
+00:19:22,990 --> 00:19:29,570
+هيختلف، ال meridian الأضعف، ال meridian الأضعفال
+
+299
+00:19:29,570 --> 00:19:33,470
+focus بتاعه هيكون بعيد لإنه بده مسافة عشان يتجمع و
+
+300
+00:19:33,470 --> 00:19:37,270
+ال meridian الأقوى هيقدر يجمع الأشعة بتاعته في
+
+301
+00:19:37,270 --> 00:19:42,830
+مسافة أقرى يعني لما بنقول ال meridian أبومية اللي
+
+302
+00:19:42,830 --> 00:19:45,670
+.. اللي .. اللي هو على ال .. ال meridian الأزرق
+
+303
+00:19:45,670 --> 00:19:48,530
+اللي مرسوم باللون الأزرق هنا عندى لو قولنا قوته
+
+304
+00:19:48,530 --> 00:19:53,560
+أربعين ديوبترAnd the red meridian has 44 diopters,
+
+305
+00:19:53,580 --> 00:19:56,820
+so the red meridian, which is horizontal, which is
+
+306
+00:19:56,820 --> 00:20:01,700
+180 degrees, is 4 diopters stronger than the blue
+
+307
+00:20:01,700 --> 00:20:07,100
+meridian. Of course, the red meridian above is
+
+308
+00:20:07,100 --> 00:20:11,270
+closer.The focus is closer and the meridian is
+
+309
+00:20:11,270 --> 00:20:14,050
+blue because it is weaker because the focus is
+
+310
+00:20:14,050 --> 00:20:18,410
+farther Okay, the meridians between them will be
+
+311
+00:20:18,410 --> 00:20:22,470
+their foci, a group of focus called foci, will be
+
+312
+00:20:22,470 --> 00:20:26,460
+betweenالمنطقتين هدولة اللي هي المنطقة الحمراء
+
+313
+00:20:26,460 --> 00:20:30,920
+والمنطقة الزرقاء لإنه طبعا أضعف meridian و أقوى
+
+314
+00:20:30,920 --> 00:20:33,740
+meridian بينهم تسعين درجة، إذا هدولة ال meridians
+
+315
+00:20:33,740 --> 00:20:38,180
+اللي مش مرسومة بتكون أقوى من الأضعف، أقوى من
+
+316
+00:20:38,180 --> 00:20:40,800
+الأضعف، لو قولنا هنا أربع و أربعين و هنا أربعين،
+
+317
+00:20:40,800 --> 00:20:44,830
+إذا هذا بتكون واحد و أربعينForty-two, forty-three,
+
+318
+00:20:45,150 --> 00:20:47,150
+forty-four, forty-four, forty-four, forty-four,
+
+319
+00:20:47,150 --> 00:20:47,290
+forty-four, forty-four, forty-four, forty-four,
+
+320
+00:20:47,290 --> 00:20:47,890
+forty-four, forty-four, forty-four, forty-four,
+
+321
+00:20:48,130 --> 00:20:52,290
+forty-four, forty-four, forty-four, forty-four,
+
+322
+00:20:52,630 --> 00:20:54,490
+forty-four, forty-four, forty-four, forty-four,
+
+323
+00:20:54,490 --> 00:20:55,010
+forty-four, forty-four, forty-four, forty-four,
+
+324
+00:20:55,010 --> 00:20:55,890
+forty-four, forty-four, forty-four, forty-four,
+
+325
+00:20:55,890 --> 00:20:55,910
+forty-four, forty-four, forty-four, forty-four,
+
+326
+00:20:55,910 --> 00:20:59,270
+forty-four, forty-four, forty-four, forty-four,
+
+327
+00:20:59,270 --> 00:21:04,380
+forty-four, forty-How do we know that the blue
+
+328
+00:21:04,380 --> 00:21:07,020
+meridian is the weakest? Because its focus is
+
+329
+00:21:07,020 --> 00:21:09,180
+coming to the back, its focus is coming to the
+
+330
+00:21:09,180 --> 00:21:12,100
+back Now if we ask ourselves a question, of course
+
+331
+00:21:12,100 --> 00:21:15,680
+here the picture is clear I shortened it to
+
+332
+00:21:15,680 --> 00:21:18,680
+meridian 1 which is the horizontal meridian and
+
+333
+00:21:18,680 --> 00:21:21,420
+shortened it to a single ray of light from the
+
+334
+00:21:21,420 --> 00:21:25,940
+point The point will send millions of light rays
+
+335
+00:21:25,940 --> 00:21:29,520
+in all directions Some of the light rays will
+
+336
+00:21:29,520 --> 00:21:36,140
+enterin the horizontal meridian and some rays will
+
+337
+00:21:36,140 --> 00:21:42,760
+enter the vertical meridian I will delete now
+
+338
+00:21:42,760 --> 00:21:50,240
+what
+
+339
+00:21:50,240 --> 00:21:53,040
+entered in the horizontal meridian which is the
+
+340
+00:21:53,040 --> 00:21:57,440
+meridian that I drew in blue and I will replace it
+
+341
+00:21:57,440 --> 00:22:02,950
+withThe belt that started from the same point and
+
+342
+00:22:02,950 --> 00:22:07,470
+which will enter in
+
+343
+00:22:07,470 --> 00:22:10,750
+the
+
+344
+00:22:10,750 --> 00:22:16,670
+vertical meridian in the vertical meridian coming
+
+345
+00:22:16,670 --> 00:22:19,870
+from the same point, this is another belt
+
+346
+00:22:27,970 --> 00:22:31,870
+لتدخل في العدسة بس من خلال ال meridian العمودي
+
+347
+00:22:31,870 --> 00:22:37,910
+يعني في حزمة نصيبة هتدخل في ال meridian الأفقي، في
+
+348
+00:22:37,910 --> 00:22:44,300
+حزمة هتدخل في ال meridian العمودي، في حزمة ضوئيةIt
+
+349
+00:22:44,300 --> 00:22:47,200
+will enter in the oblique meridian, there is a
+
+350
+00:22:47,200 --> 00:22:49,260
+light band that will enter in the second oblique
+
+351
+00:22:49,260 --> 00:22:52,480
+meridian and so on, that is, each meridian will
+
+352
+00:22:52,480 --> 00:22:58,840
+reach a part and a part of the
+
+353
+00:22:58,840 --> 00:23:02,340
+light band starting from the same point, starting
+
+354
+00:23:02,340 --> 00:23:04,160
+from the same point and so on
+
+355
+00:23:09,650 --> 00:23:13,050
+It will break these rays and change its direction
+
+356
+00:23:13,050 --> 00:23:14,790
+according to its force. According to its force.
+
+357
+00:23:15,650 --> 00:23:20,010
+What simplifies the matter is that we must look at
+
+358
+00:23:20,010 --> 00:23:22,870
+each meridian as if it is a fixed lens in itself.
+
+359
+00:23:22,990 --> 00:23:24,950
+Why? Because its force differs from the force of
+
+360
+00:23:24,950 --> 00:23:28,530
+the other meridian. It is as if this light band,
+
+361
+00:23:28,710 --> 00:23:32,650
+for example, enters a lens with a force of, for
+
+362
+00:23:32,650 --> 00:23:38,700
+example, 40 diopters.شوف المنظر كيف صار عندى هنا،
+
+363
+00:23:38,700 --> 00:23:42,120
+هذه الحزمة دخلت في ال vertical meridian، نفرض قوت
+
+364
+00:23:42,120 --> 00:23:46,300
+ال vertical meridian خمسة و أربعين ديوبطة، خمسة و
+
+365
+00:23:46,300 --> 00:23:51,940
+أربعين ديوبطة، فبالتالي كأنه هذه الحزمة اللى
+
+366
+00:23:51,940 --> 00:23:56,400
+مرسومة باللون الأبيض، يعني دخلت من خلال عدسة قوتها
+
+367
+00:23:56,400 --> 00:23:59,870
+خمسة و أربعين ديوبطةطب الحزمة الأولى اللى رسمناها
+
+368
+00:23:59,870 --> 00:24:02,850
+كنا رسمينها أشعة حمرا ودخلت في ال horizontal
+
+369
+00:24:02,850 --> 00:24:06,490
+meridian ال horizontal meridian مثلا قوته تسعة و
+
+370
+00:24:06,490 --> 00:24:10,150
+تلاتين ديوبتر إذا كأنها دخلت في عدسة قوتها تسعة و
+
+371
+00:24:10,150 --> 00:24:14,510
+تلاتين ديوبتر حزمة تالتة دخلت في meridian oblique
+
+372
+00:24:14,510 --> 00:24:18,450
+قوته تلاتة و أربعين ديوبتر إذا كأنها دخلة لحالة في
+
+373
+00:24:18,450 --> 00:24:23,370
+عدسة فبتعامل مع كل meridian على حدها الآن لو حكينا
+
+374
+00:24:23,370 --> 00:24:31,050
+أو يعني سألنا نفسنا سؤاليا ترى كيف رحلة الدوق بعد
+
+375
+00:24:31,050 --> 00:24:37,450
+العدسة؟ الدوق انطلق من نقطة واحدة، يعني مصدر الدوق
+
+376
+00:24:37,450 --> 00:24:42,480
+وام الدوق نقطة واحدةدخل في عدسة، بس هذه العدسة إلا
+
+377
+00:24:42,480 --> 00:24:46,860
+خصوصية، ليست sphere، ليست sphere، لا بقدر أقول
+
+378
+00:24:46,860 --> 00:24:51,400
+عنها plus sphere ولا minus sphere، إنما هذه عدسة
+
+379
+00:24:51,400 --> 00:24:56,060
+متعددة الانحناقات، يعني ال vertical meridian فيها
+
+380
+00:24:56,060 --> 00:25:00,080
+منحني، اللي بعده منحني أقل منه، اللي بعده منحني
+
+381
+00:25:00,080 --> 00:25:04,480
+أقل منه، أقل منه، أقل منه، أو هو منحني اللي بعده
+
+382
+00:25:04,480 --> 00:25:08,220
+أكتر منه، اللي بعده أكتر منه، أكتر منهوفي انحناء
+
+383
+00:25:08,220 --> 00:25:13,700
+منتظم بيزيد أو بيقل بس ال meridians مالهاش نفس
+
+384
+00:25:13,700 --> 00:25:21,920
+الانحناء ده لو حكينا كالقاعدة أول سؤال ما هو مصير
+
+385
+00:25:21,920 --> 00:25:28,860
+الضوء اللي دخل في مناطق من العدسة مختلفة القوةوين
+
+386
+00:25:28,860 --> 00:25:34,180
+هيعملي focus، إيش شكل ال image، إيش ال .. ال ..
+
+387
+00:25:34,180 --> 00:25:38,130
+الرحلة الفرارية بتاعة الضوء بعد العدسةIt is known
+
+388
+00:25:38,130 --> 00:25:40,530
+that if this is a sphere, if this is a sphere,
+
+389
+00:25:41,010 --> 00:25:43,510
+where does the light enter? Whether it enters from
+
+390
+00:25:43,510 --> 00:25:45,910
+the vertical meridian, or the horizontal meridian,
+
+391
+00:25:46,050 --> 00:25:48,990
+or the oblique meridian, it will enter from areas
+
+392
+00:25:48,990 --> 00:25:51,750
+of equal strength, and therefore it will gather
+
+393
+00:25:51,750 --> 00:25:55,590
+all in one point, and this point is received on a
+
+394
+00:25:55,590 --> 00:25:58,530
+screen or on a receipt paper, and I say I received
+
+395
+00:25:58,530 --> 00:26:00,910
+the image, and this is the focus of the image.
+
+396
+00:26:01,370 --> 00:26:09,530
+Okay, if I have a lens, I can consider itمزام يعني
+
+397
+00:26:09,530 --> 00:26:14,510
+مجازا بقدر اعتبره كأنها عدسات متعددة في عدسة واحدة
+
+398
+00:26:14,870 --> 00:26:17,110
+One is weak, one is stronger, one is stronger, one
+
+399
+00:26:17,110 --> 00:26:23,230
+is stronger, one is stronger, one is stronger, one
+
+400
+00:26:23,230 --> 00:26:24,410
+is stronger, one is stronger, one is stronger, one
+
+401
+00:26:24,410 --> 00:26:26,230
+is stronger, one is stronger, one is stronger, one
+
+402
+00:26:26,230 --> 00:26:26,530
+is stronger, one is stronger, one is stronger, one
+
+403
+00:26:26,530 --> 00:26:26,550
+is stronger, one is stronger, one is stronger, one
+
+404
+00:26:26,550 --> 00:26:26,650
+is stronger, one is stronger, one is stronger, one
+
+405
+00:26:26,650 --> 00:26:26,830
+is stronger, one is stronger, one is stronger, one
+
+406
+00:26:26,830 --> 00:26:28,830
+is stronger, one is stronger, one is stronger, one
+
+407
+00:26:28,830 --> 00:26:32,490
+is stronger, one is stronger,
+
+408
+00:26:38,650 --> 00:26:43,150
+أو لأن في عندي multiple foci عندي طالما قوة مختلفة
+
+409
+00:26:43,150 --> 00:26:47,750
+إذا هذا ال meridian هيجمع الأشعة في منطقة ما و هذا
+
+410
+00:26:47,750 --> 00:26:50,650
+ال meridian هيجمع الأشعة في منطقة ما و هذا هيجمع
+
+411
+00:26:50,650 --> 00:26:55,690
+.. ما هو الشكل الفراغي للصورة العلماء لما درسوا
+
+412
+00:26:55,690 --> 00:27:01,610
+هذا الكلام وجدوا إنه أول حاجة الشكل الفراغي للصورة
+
+413
+00:27:01,610 --> 00:27:08,930
+إن في عندي two focal linesone suitable for the
+
+414
+00:27:08,930 --> 00:27:11,710
+vertical meridian force and one suitable for the
+
+415
+00:27:11,710 --> 00:27:14,410
+horizontal meridian force of course, the direction
+
+416
+00:27:14,410 --> 00:27:18,310
+of the focal line, not the focal point, the
+
+417
+00:27:18,310 --> 00:27:23,740
+vertical direction of the meridianتجاهه عمودي على
+
+418
+00:27:23,740 --> 00:27:27,380
+اتجاه ال meridian بتاعه، بمعنى آخر، هاي أنا عندي
+
+419
+00:27:27,380 --> 00:27:29,960
+ال horizontal meridian، وقولنا ال horizontal
+
+420
+00:27:29,960 --> 00:27:33,680
+meridian مرسوم باللون الأحمر، وهو الأقوى، وعشان
+
+421
+00:27:33,680 --> 00:27:40,570
+هيك ال focal line بتاعهأقرب أقرب focus أقرب focus
+
+422
+00:27:40,570 --> 00:27:44,130
+يعني هنا لو جيت أتلقى الصورة هنا هيطلع عندي line
+
+423
+00:27:44,130 --> 00:27:48,250
+هي point هي point ال object point بس أنا هتلقاه
+
+424
+00:27:48,250 --> 00:27:54,710
+بشكل line بشكل line تمام؟ طيب هذا ال line عمودي
+
+425
+00:27:54,710 --> 00:27:57,370
+على اتجاه ال meridian ال meridian أفقي ال line
+
+426
+00:27:57,370 --> 00:28:00,860
+عموديOkay, the weakest meridian, as long as this
+
+427
+00:28:00,860 --> 00:28:02,880
+is the strongest, the weakest meridian will be
+
+428
+00:28:02,880 --> 00:28:06,120
+vertical on it We study the regular astigmatism,
+
+429
+00:28:06,420 --> 00:28:11,400
+which is the regular astigmatism Okay, this is the
+
+430
+00:28:11,400 --> 00:28:13,660
+weakest meridian, which is vertical, so its focus
+
+431
+00:28:13,660 --> 00:28:17,200
+will be delayed As long as this is vertical, this
+
+432
+00:28:17,200 --> 00:28:18,380
+is supposed to be drawn, here is a mistake in
+
+433
+00:28:18,380 --> 00:28:21,860
+drawing, a blue horizontal line is supposed to be
+
+434
+00:28:21,860 --> 00:28:24,640
+drawn A blue horizontal line, this is the focal
+
+435
+00:28:24,640 --> 00:28:28,320
+line, if I come and click on the pictureبتاعة
+
+436
+00:28:28,320 --> 00:28:34,520
+العدسة ككل هلاقيها في المكان هذا بشكل خط أفقي طبعا
+
+437
+00:28:34,520 --> 00:28:38,300
+احنا بنقول لون أزرق هو .. هو خط أفقي مضيق لا أزرق
+
+438
+00:28:38,300 --> 00:28:41,760
+ولا أحمر بس هنا لتمييز ال meridians لتمييز ال
+
+439
+00:28:41,760 --> 00:28:45,960
+meridians فبالتالي لو إجيت أطلق الصورة هنا هلاقي
+
+440
+00:28:45,960 --> 00:28:50,980
+خط أفقي مستعرض هذا هو ال focus بتاع أو .. أو البعد
+
+441
+00:28:50,980 --> 00:28:54,680
+بتاع ال focus بتاع ال vertical meridian طب لو إجيت
+
+442
+00:28:54,680 --> 00:28:59,030
+أطلق الصورة بينهموجدوا العلماء إن الصورة بينهم
+
+443
+00:28:59,030 --> 00:29:05,370
+إلها أشكال متعددة في مجموعها فراغيا .. فراغيا في
+
+444
+00:29:05,370 --> 00:29:11,530
+مجموعة بيسموها Conoid of Sternconoid of stern اللي
+
+445
+00:29:11,530 --> 00:29:17,390
+هو الشكل الفراغي للصورة اللتي تصنعها ال astigmatic
+
+446
+00:29:17,390 --> 00:29:21,670
+lens الشكل الفراغي للصورة اللي بتصنعها ال
+
+447
+00:29:21,670 --> 00:29:25,650
+astigmatic lens الآن نيجي نقول .. بس نعرف إيش ال
+
+448
+00:29:25,650 --> 00:29:33,070
+conoid of stern conoid of
+
+449
+00:29:33,070 --> 00:29:33,770
+stern
+
+450
+00:29:40,460 --> 00:29:46,500
+عرفه باللغة العربية عشان الامر أسهل الشكل الفراغي
+
+451
+00:29:46,500 --> 00:29:51,700
+للصورة
+
+452
+00:29:51,700 --> 00:29:56,540
+التي تصنعها
+
+453
+00:29:56,540 --> 00:30:01,140
+العدسة
+
+454
+00:30:01,140 --> 00:30:09,100
+that الastigmatism المنتظر اللي هو الastigmatism
+
+455
+00:30:15,410 --> 00:30:19,110
+لو جينا نعرفه بالانجليزي اللي هو ال three
+
+456
+00:30:19,110 --> 00:30:28,370
+-dimensional image
+
+457
+00:30:28,370 --> 00:30:32,250
+of the astigmatic lens
+
+458
+00:30:36,710 --> 00:30:40,390
+وهنا لازم احنا نقول او نتوقف قليلا عشان نفهم
+
+459
+00:30:40,390 --> 00:30:44,030
+بالضبط اشي المقصود ب three dimensional image of
+
+460
+00:30:44,030 --> 00:30:59,010
+the astigmatic lens لو احنا خرجنا ليه رؤية Okay
+
+461
+00:30:59,010 --> 00:31:01,610
+guys here's our basic lab setup for this week We
+
+462
+00:31:01,610 --> 00:31:04,870
+have our optical bench with our elements on it We
+
+463
+00:31:04,870 --> 00:31:07,370
+have a light box over here to the left.
+
+464
+00:31:26,440 --> 00:31:30,600
+cylindrical lens or sphero cylindrical lens, I can
+
+465
+00:31:30,600 --> 00:31:34,840
+use two cylindrical lenses two cylindrical lenses
+
+466
+00:31:34,840 --> 00:31:40,540
+to work as if they are sphero cylindrical lens or
+
+467
+00:31:40,540 --> 00:31:45,240
+plano cylindrical lens now we want to take a
+
+468
+00:31:45,240 --> 00:31:48,880
+picture in space these two lenses let me stop for
+
+469
+00:31:48,880 --> 00:31:53,080
+a moment these
+
+470
+00:31:53,080 --> 00:32:00,750
+two lensesهيقوم مقامهيقوموا مقام ال astigmatic
+
+471
+00:32:00,750 --> 00:32:05,110
+lens astigmatic lens يعني lens فيها astigmatism
+
+472
+00:32:05,110 --> 00:32:10,450
+صورتها مش زي صورة ال spherical lens ال astigmatic
+
+473
+00:32:10,450 --> 00:32:14,330
+lens هذا meridian بختلف عن هذا ال meridian بختلف
+
+474
+00:32:14,330 --> 00:32:16,830
+عن هذا ال meridian بختلف عن هذا ال meridian في
+
+475
+00:32:16,830 --> 00:32:21,170
+القوة و ال meridians الأقوى و الأضعف بينهم زاوية
+
+476
+00:32:21,170 --> 00:32:25,830
+تسعين درجة الآن هذه معمليا معمليا
+
+477
+00:32:29,460 --> 00:32:33,780
+يمكن باستعمال عدة عدسات أحصل على ال stigmaic lens
+
+478
+00:32:34,360 --> 00:32:38,140
+ممكن استعمل two cylinders المهم بده أشوف إيش الشكل
+
+479
+00:32:38,140 --> 00:32:42,620
+الفراغي إيه اللي هيتكون لضوء في الهواء طبعا لازم
+
+480
+00:32:42,620 --> 00:32:48,520
+أنا أطلق الشكل الفراغي هذا مقاطعه على التوالي
+
+481
+00:32:48,520 --> 00:32:53,020
+بقدرش أشوفه في الهواء مرة واحدة بقدرش أشوفه في
+
+482
+00:32:53,020 --> 00:32:57,220
+الهواء مرة واحدة أنا هرجع شوية و أقول الشكل
+
+483
+00:32:57,220 --> 00:33:01,860
+الفراغي اللي هو ال conoid of a star اللي حكينا عنه
+
+484
+00:33:02,490 --> 00:33:06,690
+It is the spatial shape of the image, from length,
+
+485
+00:33:06,870 --> 00:33:10,550
+from length,
+
+486
+00:33:10,550 --> 00:33:14,970
+if I come to this picture, it will be white, but
+
+487
+00:33:14,970 --> 00:33:18,790
+it will be very complex, here less complex, less
+
+488
+00:33:18,790 --> 00:33:22,250
+complex, less complex, this is the first focal
+
+489
+00:33:22,250 --> 00:33:26,430
+line, this first focal line is away from the lens,
+
+490
+00:33:27,070 --> 00:33:30,350
+a distance appropriate to the strongest meridian
+
+491
+00:33:30,350 --> 00:33:39,030
+focus,الان من هنا لهنا بسموه stern interval stern
+
+492
+00:33:39,030 --> 00:33:43,210
+interval or conoid of stern لإن شكله بيشبه المخروض
+
+493
+00:33:43,210 --> 00:33:46,510
+lineThen if you move away a little bit, you will
+
+494
+00:33:46,510 --> 00:33:50,170
+catch it. Of course, this is formed in space. The
+
+495
+00:33:50,170 --> 00:33:53,710
+light that comes out of the astigmatic lens will
+
+496
+00:33:53,710 --> 00:33:57,710
+happen to be a white cut. All the light that
+
+497
+00:33:57,710 --> 00:34:00,490
+entered all the meridians and came out of them
+
+498
+00:34:00,490 --> 00:34:04,960
+will be a white cut and it flows in space.Then, by
+
+499
+00:34:04,960 --> 00:34:08,780
+the way, but less height, the height is going
+
+500
+00:34:08,780 --> 00:34:11,920
+down, here the height is high, which I indicate on
+
+501
+00:34:11,920 --> 00:34:14,880
+it, here the height is less, this is a section in
+
+502
+00:34:14,880 --> 00:34:16,940
+the light that came out of the lens and will form
+
+503
+00:34:16,940 --> 00:34:20,500
+the image, here is another section less height,
+
+504
+00:34:20,700 --> 00:34:23,860
+less height, the height became zero, here focus,
+
+505
+00:34:25,200 --> 00:34:29,990
+so the point that issueda different light band,
+
+506
+00:34:30,170 --> 00:34:33,130
+and each band entered meridian, and each light
+
+507
+00:34:33,130 --> 00:34:38,950
+band became a line, a focal line, a faced focal
+
+508
+00:34:38,950 --> 00:34:42,550
+line. Okay, if I want to see these words, I can't
+
+509
+00:34:42,550 --> 00:34:45,330
+see them in the air, like this, in three
+
+510
+00:34:45,330 --> 00:34:49,250
+dimensions, without having a receipt. So, I'm
+
+511
+00:34:49,250 --> 00:34:50,930
+going to put the receipt here, I'm going to see
+
+512
+00:34:50,930 --> 00:34:53,450
+this view, I'm going to put it away a little bit,
+
+513
+00:34:53,490 --> 00:34:56,230
+I'm going to see that the focal line has turned
+
+514
+00:34:56,230 --> 00:35:00,910
+into a line,All the rays of all the meridians, the
+
+515
+00:35:00,910 --> 00:35:03,190
+strongest and the weakest and the middle power and
+
+516
+00:35:03,190 --> 00:35:07,730
+everything between them all gathered themselves in
+
+517
+00:35:07,730 --> 00:35:10,690
+a focal line Then it started to spread again, it
+
+518
+00:35:10,690 --> 00:35:14,410
+gave me an oval shape, then we reached a point
+
+519
+00:35:14,410 --> 00:35:18,270
+where it became a circle shapeهذه بيسموها circle
+
+520
+00:35:18,270 --> 00:35:22,050
+of least confusion، هنا أوضح صورة ممكنة
+
+521
+00:35:22,050 --> 00:35:26,450
+للـstigmatic lens، لأن كل ال meridians بتكون ال
+
+522
+00:35:26,450 --> 00:35:30,070
+focus تاعة عبارة عن دائرة و كأنها تشبه النقطة
+
+523
+00:35:30,070 --> 00:35:34,430
+المضيقة، بس حجمها أكبر من النقطةI became here, I
+
+524
+00:35:34,430 --> 00:35:37,850
+have an oval shape, but vertical on this oval
+
+525
+00:35:37,850 --> 00:35:41,530
+shape, I raise the oval shape, then of course here
+
+526
+00:35:41,530 --> 00:35:44,070
+its height is more or its width is more, width is
+
+527
+00:35:44,070 --> 00:35:46,290
+less, then I became without width, I mean I
+
+528
+00:35:46,290 --> 00:35:49,970
+became, I have a focal line again, vertical on the
+
+529
+00:35:49,970 --> 00:35:54,450
+first one After that, it continues that I have, I
+
+530
+00:35:54,450 --> 00:35:57,390
+mean the rays scatter again, here is the place of
+
+531
+00:35:57,390 --> 00:36:02,280
+the image, here is the place of the imagewhich is
+
+532
+00:36:02,280 --> 00:36:08,100
+the light, its accumulation and its attempt to
+
+533
+00:36:08,100 --> 00:36:10,360
+form the image after passing through the
+
+534
+00:36:10,360 --> 00:36:13,840
+astigmatic lens gives me a hollow shape which we
+
+535
+00:36:13,840 --> 00:36:16,980
+call a conoid of stern or stern interval. Now we
+
+536
+00:36:16,980 --> 00:36:19,260
+want to see it, of course, we cannot see it with
+
+537
+00:36:19,260 --> 00:36:22,280
+the naked eye unless we print each piece of it on
+
+538
+00:36:22,280 --> 00:36:26,500
+the paper of the printer. Now we want to go back
+
+539
+00:36:26,500 --> 00:36:29,640
+and see the experiment together and say as follows
+
+540
+00:36:31,010 --> 00:36:33,550
+This is a preparation to prepare the astigmatic
+
+541
+00:36:33,550 --> 00:36:33,990
+lens.
+
+542
+00:36:36,990 --> 00:36:39,470
+This is the white shape just before the first
+
+543
+00:36:39,470 --> 00:36:40,310
+focal line.
+
+544
+00:36:43,990 --> 00:36:46,010
+This starts to move away from the reception paper.
+
+545
+00:36:47,030 --> 00:36:51,050
+This is the first focal line. This is the first
+
+546
+00:36:51,050 --> 00:36:54,430
+focal line. Now we have reached the circle of
+
+547
+00:36:54,430 --> 00:36:57,850
+least confusion. This is the second focal line
+
+548
+00:36:57,850 --> 00:36:58,730
+vertical to the first.
+
+549
+00:37:04,000 --> 00:37:06,980
+Then, let's go back again, this is the first focal
+
+550
+00:37:06,980 --> 00:37:10,840
+line. Now I just need to stop at a point to
+
+551
+00:37:10,840 --> 00:37:11,460
+explain it.
+
+552
+00:37:15,310 --> 00:37:17,850
+هي ال first focal line .. هى ال first focal line
+
+553
+00:37:17,850 --> 00:37:22,490
+طالما ال first focal line عمودي .. أفقي معناته
+
+554
+00:37:22,490 --> 00:37:25,670
+أقوى meridian هو عمودي لإن بنقول first focal line
+
+555
+00:37:25,670 --> 00:37:30,110
+يعني أقرب focal line للعدسة .. للعدسة طبعا هنا هو
+
+556
+00:37:30,110 --> 00:37:36,320
+استعمل عدستين بس ..Some lenses use two lenses to
+
+557
+00:37:36,320 --> 00:37:40,500
+better clarify the experience. As long as the
+
+558
+00:37:40,500 --> 00:37:45,700
+first focal line is horizontal, then the vertical
+
+559
+00:37:45,700 --> 00:37:50,280
+meridian is stronger. Now it started to turn
+
+560
+00:37:50,280 --> 00:37:56,120
+white. Yes, white. He hurried up a bit here.
+
+561
+00:37:59,150 --> 00:38:01,410
+So those are my three marker locations within SAT.
+
+562
+00:38:01,750 --> 00:38:06,530
+This is the first focal line. This is the second
+
+563
+00:38:06,530 --> 00:38:10,430
+focal line. Here between them is the circle of
+
+564
+00:38:10,430 --> 00:38:12,410
+least confusion. As you can see, the board moves
+
+565
+00:38:12,410 --> 00:38:16,010
+forward by G and back. So if we imagine what is
+
+566
+00:38:16,010 --> 00:38:20,080
+the three-dimensional spatial shape,The first
+
+567
+00:38:20,080 --> 00:38:23,580
+focal line, for example, horizontal, then if we go
+
+568
+00:38:23,580 --> 00:38:25,560
+back a little bit, move away from the lens a
+
+569
+00:38:25,560 --> 00:38:28,720
+little bit, it will become oval, also horizontal,
+
+570
+00:38:29,180 --> 00:38:32,500
+oval, horizontal oval, then circle of least
+
+571
+00:38:32,500 --> 00:38:38,420
+confusion, then vertical oval, then vertical focal
+
+572
+00:38:38,420 --> 00:38:43,920
+line, as we see in the experiment This is the
+
+573
+00:38:43,920 --> 00:38:47,340
+second focal line, focal line which is vertical
+
+574
+00:38:52,390 --> 00:38:54,110
+Let's go back to this setup again, just to make
+
+575
+00:38:54,110 --> 00:38:56,250
+sure we're clear. Again, the idea is that these
+
+576
+00:38:56,250 --> 00:38:57,910
+lenses are not touching each other, so we can't
+
+577
+00:38:57,910 --> 00:38:59,690
+add them up directly just by saying the power of
+
+578
+00:38:59,690 --> 00:39:01,930
+lens 1 plus the power of lens 2 is your total
+
+579
+00:39:01,930 --> 00:39:04,390
+power. You have to figure out what version of
+
+580
+00:39:04,390 --> 00:39:22,370
+these lenses...
+
+581
+00:39:23,240 --> 00:39:26,460
+two that you add to the power of two to figure out
+
+582
+00:39:26,460 --> 00:39:29,240
+what the power is for each meridian. Since we have
+
+583
+00:39:29,240 --> 00:39:32,580
+a plano and one meridian for the cylinder and a
+
+584
+00:39:32,580 --> 00:39:33,960
+minus for the power unit.
+
+585
+00:39:48,720 --> 00:39:58,500
+بحيث يعطوني astigmatic lens .. astigmatic lens هنا
+
+586
+00:39:58,500 --> 00:40:02,160
+بنتهي هذا ال .. ال .. ال video لهادي القضية، اذا
+
+587
+00:40:02,160 --> 00:40:07,040
+في عندى الconoid of a stern هو عبارة عن الشكل
+
+588
+00:40:07,040 --> 00:40:15,480
+الفراغي لضوء بعد خروجه من ..من ال astigmatic lens
+
+589
+00:40:15,480 --> 00:40:18,180
+في منطقة ال image بتاعته، في منطقة ال image
+
+590
+00:40:18,180 --> 00:40:21,780
+بتاعته، إذا الشكل الفراغي للصورة التي تصنعها
+
+591
+00:40:21,780 --> 00:40:24,620
+العدسة ذات ال astigmatism المنتظم أو ال three
+
+592
+00:40:24,620 --> 00:40:28,120
+-dimensional image of the astigmatic lens وطبعا
+
+593
+00:40:28,120 --> 00:40:32,080
+أنا عشان أشوفه و بشوفوش مرة واحدة لازم أتلقى مقطع
+
+594
+00:40:32,080 --> 00:40:36,380
+مقطع و عبارة عن two focal lines are formed .. ده
+
+595
+00:40:36,380 --> 00:40:40,480
+complicateda geometric envelope of a pencil of
+
+596
+00:40:40,480 --> 00:40:45,040
+light rays emanating from a single point source of
+
+597
+00:40:45,040 --> 00:40:48,340
+refracted and refracted by a spherocylindrical
+
+598
+00:40:48,340 --> 00:40:52,800
+lens is called the conoid of Stern and what this
+
+599
+00:40:52,800 --> 00:40:56,960
+view shows me is the first focal line if after the
+
+600
+00:40:56,960 --> 00:41:02,030
+first focal line I take a vertical ovalthen it
+
+601
+00:41:02,030 --> 00:41:05,470
+will find the circle of least confusion, then it
+
+602
+00:41:05,470 --> 00:41:07,910
+will become a horizontal oval, and then it will
+
+603
+00:41:07,910 --> 00:41:13,250
+become a horizontal focal line, this is called
+
+604
+00:41:13,250 --> 00:41:17,810
+interval of stern or conoid of stern, here the
+
+605
+00:41:17,810 --> 00:41:19,950
+first focal line which is closest to the lens and
+
+606
+00:41:19,950 --> 00:41:23,930
+the second focal line which is farthest from the
+
+607
+00:41:23,930 --> 00:41:28,790
+lens, which is farthest fromالعدسة طبعا هنا أيضا
+
+608
+00:41:28,790 --> 00:41:32,490
+صورة توضحية، هاي ال first focal line، هاي ال
+
+609
+00:41:32,490 --> 00:41:34,970
+second focal line، هاي ال circle of least
+
+610
+00:41:34,970 --> 00:41:39,030
+confusion، ال circle of least confusion، الان ضل
+
+611
+00:41:39,030 --> 00:41:43,070
+بس نحكي انه ال conoid of stern has two focal lines
+
+612
+00:41:43,070 --> 00:41:46,550
+each parallel to one of the principal meridians of
+
+613
+00:41:46,550 --> 00:41:49,940
+the spherocylindrical lensAll the rays in the
+
+614
+00:41:49,940 --> 00:41:52,980
+pencil pass through each of the focal lines
+
+615
+00:42:09,260 --> 00:42:12,840
+The cross-section of the conoid of a stern vary in
+
+616
+00:42:12,840 --> 00:42:21,480
+shape along
+
+617
+00:42:21,480 --> 00:42:24,740
+its
+
+618
+00:42:24,740 --> 00:42:30,240
+length but are generally elliptical
+
+619
+00:42:37,300 --> 00:42:41,960
+At the dioptric mean of
+
+620
+00:42:41,960 --> 00:42:44,700
+the focal lines, there is a cross-section of the
+
+621
+00:42:44,700 --> 00:42:48,540
+conoid of a stern that is circular We want to
+
+622
+00:42:48,540 --> 00:42:50,720
+understand what is at the dioptric mean Let's go
+
+623
+00:42:50,720 --> 00:42:55,140
+back here and say as follows This
+
+624
+00:42:55,140 --> 00:42:59,320
+lens is a spherocylindrical lens or they call it a
+
+625
+00:42:59,320 --> 00:43:04,340
+stigmatic lens A stigmatic lens means that the
+
+626
+00:43:04,340 --> 00:43:07,790
+meridians in it are not united by forceWhat does
+
+627
+00:43:07,790 --> 00:43:11,990
+diopteric mean? What does diopteric mean? It means
+
+628
+00:43:11,990 --> 00:43:16,290
+the average strength .. average strength of all
+
+629
+00:43:16,290 --> 00:43:22,690
+meridians Okay, let's say here as usual Let's say
+
+630
+00:43:22,690 --> 00:43:30,890
+here its strength plus 44 diopters plus 44 plus 44
+
+631
+00:43:30,890 --> 00:43:32,810
+diopters for example
+
+632
+00:43:35,340 --> 00:43:47,700
+ال meridian اللي بعده قوته plus 43 ال
+
+633
+00:43:47,700 --> 00:43:54,540
+meridian اللي بعده plus
+
+634
+00:43:54,540 --> 00:44:01,340
+42 ال
+
+635
+00:44:01,340 --> 00:44:02,420
+meridian اللي بعده
+
+636
+00:44:06,560 --> 00:44:13,900
+plus 41 meridian
+
+637
+00:44:13,900 --> 00:44:25,120
+horizontal plus 40 what
+
+638
+00:44:25,120 --> 00:44:30,280
+is diopteric mean? it is the average power of the
+
+639
+00:44:30,280 --> 00:44:37,630
+meridianاربع واربعين زائد تلاتة واربعين زائد ..
+
+640
+00:44:37,630 --> 00:44:45,630
+عفوا .. زائد اتنين واربعين زائد واحد واربعين ..
+
+641
+00:44:45,630 --> 00:44:53,790
+عفوا .. واحد واربعين زائد اربعين واجسمهم كلهم على
+
+642
+00:44:53,790 --> 00:44:58,170
+خمسة لإن هم خمسة meridian Forty-four and forty
+
+643
+00:44:58,170 --> 00:45:00,530
+-three and forty-two and forty-one and forty-four
+
+644
+00:45:00,530 --> 00:45:04,250
+and forty-five per one, two, three, four, five.
+
+645
+00:45:04,370 --> 00:45:06,250
+Let's go to the calculator and calculate it. Let's
+
+646
+00:45:06,250 --> 00:45:06,550
+see.
+
+647
+00:45:16,170 --> 00:45:21,230
+Let's say here forty-four Forty
+
+648
+00:45:21,230 --> 00:45:32,920
+-four plus forty-threeزائد اتنين واربعين زائد واحد
+
+649
+00:45:32,920 --> 00:45:44,620
+واربعين زائد اربعين يساوي تقسيم كامسة ويساوي،
+
+650
+00:45:44,620 --> 00:45:49,040
+بتطلع عندي المتوسط اتنين واربعين، المتوسط اتنين
+
+651
+00:45:49,040 --> 00:45:53,040
+واربعين طيب، الآن ال regular astigmatism ريحني،
+
+652
+00:45:53,040 --> 00:45:57,640
+جالي لا تجمع ولا تجسم، بس codeThe largest meridian
+
+653
+00:45:57,640 --> 00:45:59,920
+in force and the smallest meridian in force, add
+
+654
+00:45:59,920 --> 00:46:04,400
+them together to get 44 and 40 and 84 Divide them
+
+655
+00:46:04,400 --> 00:46:10,100
+by 2 to get 42 44 which is the strongest meridian,
+
+656
+00:46:10,160 --> 00:46:18,380
+and the weakest meridian is 210 Divide
+
+657
+00:46:18,380 --> 00:46:22,060
+them by 5 to get 42
+
+658
+00:46:24,120 --> 00:46:28,380
+Also if I add 44 which is the strongest meridian
+
+659
+00:46:28,380 --> 00:46:32,840
+plus 40 which is the weakest meridian, it becomes
+
+660
+00:46:32,840 --> 00:46:38,900
+84 If we multiply them by 2, we get the same thing
+
+661
+00:46:38,900 --> 00:46:42,880
+which is 42 diopters So far, this is the Dioptric
+
+662
+00:46:42,880 --> 00:46:45,700
+mean What is its relation to the circle of least
+
+663
+00:46:45,700 --> 00:46:49,320
+confusion? We say as follows, its relation is very
+
+664
+00:46:49,320 --> 00:46:56,280
+simpleلو العدسة .. لو العدسة مش astigmatic lens
+
+665
+00:46:56,280 --> 00:47:01,580
+وإنما spherical lens، لو العدسة هاي مش astigmatic
+
+666
+00:47:01,580 --> 00:47:07,000
+lens وإنما spherical lens قوتها 42 ديوبتر، ساعتها
+
+667
+00:47:07,000 --> 00:47:11,620
+هي هتعطيني صورة أو focus في منطقة ال circle of
+
+668
+00:47:11,620 --> 00:47:16,200
+least confusionThe lens that was made for the
+
+669
+00:47:16,200 --> 00:47:18,080
+Conoid of Sturm, as long as it was made for the
+
+670
+00:47:18,080 --> 00:47:20,100
+Conoid of Sturm, then this is a stigmatic lens
+
+671
+00:47:20,100 --> 00:47:23,420
+Because the spherical lens, the usual lens that we
+
+672
+00:47:23,420 --> 00:47:27,520
+study all the time, is a normal spherical lens So
+
+673
+00:47:27,520 --> 00:47:30,500
+when we say plus five, this is negative, all the
+
+674
+00:47:30,500 --> 00:47:32,420
+meridians, this is five, this is five, this is
+
+675
+00:47:32,420 --> 00:47:33,620
+five, this is five, this is five, this is five,
+
+676
+00:47:33,620 --> 00:47:34,280
+this is five, this is five, this is five, this is
+
+677
+00:47:34,280 --> 00:47:34,360
+five, this is five, this is five, this is five,
+
+678
+00:47:34,360 --> 00:47:35,140
+this is five, this is five, this is five, this is
+
+679
+00:47:35,140 --> 00:47:35,200
+five, this is five, this is five, this is five,
+
+680
+00:47:35,980 --> 00:47:43,100
+this is five, this is five, this is five, this is
+
+681
+00:47:43,100 --> 00:47:52,380
+five,If we ask someone a question, where is
+
+682
+00:47:52,380 --> 00:47:54,740
+the circle of least confusion? Or think of the
+
+683
+00:47:54,740 --> 00:47:57,160
+circle of least confusion as its location in space
+
+684
+00:47:57,160 --> 00:48:00,320
+and say okayThis is the astigmatic lens for
+
+685
+00:48:00,320 --> 00:48:02,940
+example, the strongest meridian for example is 40
+
+686
+00:48:02,940 --> 00:48:07,700
+and the weakest meridian is 38 40 and 38 is 78
+
+687
+00:48:07,700 --> 00:48:11,960
+divided by 2 is 39, we can say that the circle of
+
+688
+00:48:11,960 --> 00:48:16,000
+least confusion will be in the same point or if we
+
+689
+00:48:16,000 --> 00:48:19,060
+imagine that this lens has a force of 39 diopters,
+
+690
+00:48:19,620 --> 00:48:20,300
+where is its focus?
+
+691
+00:48:30,660 --> 00:48:35,500
+At the dioptric mean of the focal lines, there is
+
+692
+00:48:35,500 --> 00:48:38,520
+a cross-section of the conoid of a stern that is
+
+693
+00:48:38,520 --> 00:48:42,920
+circular. This circular patch of light rays is
+
+694
+00:48:42,920 --> 00:48:46,970
+called the circle of least confusion.It represents
+
+695
+00:48:46,970 --> 00:48:50,530
+the circle of least confusion, the best overall
+
+696
+00:48:50,530 --> 00:48:54,430
+focus of the spherocylindrical lens We want to
+
+697
+00:48:54,430 --> 00:49:02,350
+understand this sentence because
+
+698
+00:49:02,350 --> 00:49:06,350
+it is very important The spherocylindrical lens
+
+699
+00:49:06,350 --> 00:49:09,830
+does not give a stigmatic image The
+
+700
+00:49:09,830 --> 00:49:12,650
+spherocylindrical lens does not give a stigmatic
+
+701
+00:49:12,650 --> 00:49:16,720
+imageBut the best picture given by the spherical
+
+702
+00:49:16,720 --> 00:49:20,560
+and cylindrical lens is in this area, in the
+
+703
+00:49:20,560 --> 00:49:24,880
+circle of least confusion, it is in this area So
+
+704
+00:49:24,880 --> 00:49:28,140
+the spherical and cylindrical lens, of course, the
+
+705
+00:49:28,140 --> 00:49:31,800
+perfect image is that the point source should be
+
+706
+00:49:31,800 --> 00:49:37,640
+pointمش هذه الأشكال المعقدة اللي لو حابيت أطلقها
+
+707
+00:49:37,640 --> 00:49:41,500
+هنا بطلعلي line، لو حابيت أطلقها هنا بطلعلي oval،
+
+708
+00:49:41,500 --> 00:49:44,700
+لو حابيت أطلقها هنا بطلعلي circle، بس بتضل هذه
+
+709
+00:49:44,700 --> 00:49:49,240
+المنطقة هي أفضل focus ممكن تعمليها ال spherical
+
+710
+00:49:49,240 --> 00:49:52,900
+cylindrical lens، ال spherical cylindrical lens،
+
+711
+00:49:52,900 --> 00:49:56,400
+it represents the best ovalIt's the best it can
+
+712
+00:49:56,400 --> 00:50:01,080
+be. But it's not the ideal. It represents the
+
+713
+00:50:01,080 --> 00:50:04,600
+best, not the ideal. The best overall focus of the
+
+714
+00:50:04,600 --> 00:50:08,220
+spherical cylindrical lens. The circle of least
+
+715
+00:50:08,220 --> 00:50:12,360
+confusion occupies the position where all the rays
+
+716
+00:50:12,360 --> 00:50:15,460
+would be brought to a focus if the lens had a
+
+717
+00:50:15,460 --> 00:50:18,460
+spherical power equal to the average spherical
+
+718
+00:50:18,460 --> 00:50:21,880
+power of all meridians of a spherical cylindrical
+
+719
+00:50:21,880 --> 00:50:23,020
+lens. A while ago,
+
+720
+00:50:27,900 --> 00:50:30,840
+This spherical cylindrical lens or the astigmatic
+
+721
+00:50:30,840 --> 00:50:32,520
+lens, if we combine the forces of all the
+
+722
+00:50:32,520 --> 00:50:37,500
+meridians and divide it into a medium If we remove
+
+723
+00:50:37,500 --> 00:50:40,320
+this lens with the different meridians and put a
+
+724
+00:50:40,320 --> 00:50:43,760
+spherical lens with a force of 42 diopters I will
+
+725
+00:50:43,760 --> 00:50:48,660
+have its focus in this region in this region in
+
+726
+00:50:48,660 --> 00:50:51,820
+this region Therefore,
+
+727
+00:50:52,380 --> 00:50:57,140
+this is the meaning of the wordThe circle of least
+
+728
+00:50:57,140 --> 00:50:57,860
+confusion
+
+729
+00:51:05,490 --> 00:51:09,830
+It was supposed to gather in a point if it was not
+
+730
+00:51:09,830 --> 00:51:14,090
+a stigmatic lens but a spherical lens If it was a
+
+731
+00:51:14,090 --> 00:51:17,090
+spherical lens equivalent to a spherocylindrical
+
+732
+00:51:17,090 --> 00:51:21,610
+lens equivalent to the average spherical power of
+
+733
+00:51:21,610 --> 00:51:24,590
+all meridians of the spherocylindrical lens
+
+734
+00:51:35,500 --> 00:51:38,640
+Its power is equal to the average power of the
+
+735
+00:51:38,640 --> 00:51:41,640
+meridians of the spherocylindrical lens This
+
+736
+00:51:41,640 --> 00:51:44,740
+average spherical power of a spherocylindrical
+
+737
+00:51:44,740 --> 00:51:53,640
+lens is called the spherical equivalent The
+
+738
+00:51:53,640 --> 00:52:00,420
+average spherical power of this lensThis is the
+
+739
+00:52:00,420 --> 00:52:02,580
+lens that I wrote on the Meridian of the Earth.
+
+740
+00:52:03,000 --> 00:52:05,500
+How much is the spherical equivalent of it? I say
+
+741
+00:52:05,500 --> 00:52:08,880
+42. What does spherical equivalent mean? What is
+
+742
+00:52:08,880 --> 00:52:11,740
+the spherical equivalent of it? Spherical
+
+743
+00:52:11,740 --> 00:52:15,080
+equivalent means spherical equivalent. This
+
+744
+00:52:15,080 --> 00:52:18,120
+astigmatic lens or spherical and cylindrical lens
+
+745
+00:52:18,120 --> 00:52:19,800
+does not need it. It needs something equivalent
+
+746
+00:52:19,800 --> 00:52:23,390
+but spherical.فبقول هي ال spherical equivalent
+
+747
+00:52:23,390 --> 00:52:27,710
+بجمع ال meridians كلهم و بجسمهم على عددهم أو بجمع
+
+748
+00:52:27,710 --> 00:52:31,590
+أقوى meridian و أضعف meridian عشان أطلع ال
+
+749
+00:52:31,590 --> 00:52:34,590
+spherical equivalent عشان أطلع ال spherical
+
+750
+00:52:34,590 --> 00:52:40,540
+equivalentهدا الـ spherical equivalent.طيب، الآن
+
+751
+00:52:40,540 --> 00:52:45,140
+في معادلة للـ spherical equivalent، the average،
+
+752
+00:52:45,140 --> 00:52:47,960
+this average spherical power of sphero cylindrical
+
+753
+00:52:47,960 --> 00:52:51,440
+lens is called the spherical equivalent of the
+
+754
+00:52:51,440 --> 00:52:54,930
+lens.It is calculated by the following
+
+755
+00:52:54,930 --> 00:52:58,750
+relationship, the spherical equivalent يساوي
+
+756
+00:52:58,750 --> 00:53:02,950
+الاسفير زائد السلندر على اتنين زائد نص السلندر
+
+757
+00:53:02,950 --> 00:53:07,470
+الاسفير زائد نص السلندر و هذا الكلام ان شاء الله
+
+758
+00:53:07,470 --> 00:53:12,090
+تعالى هنكمله في ملحق المحاضرة و يعطيكم العافية و
+
+759
+00:53:12,090 --> 00:53:14,970
+السلام عليكم و رحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/8Z-oDrNuidI_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/8Z-oDrNuidI_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b34b4c98d1668a0130fa03f425fb5c1fc67b37d2
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/8Z-oDrNuidI_postprocess.srt
@@ -0,0 +1,1772 @@
+1
+00:00:01,550 --> 00:00:05,390
+بسم الله الرحمن الرحيم بنواصل محاضرات الـ
+
+2
+00:00:05,390 --> 00:00:09,390
+Geometric Optics ووصلنا عند موضوع حقيقة غاية في
+
+3
+00:00:09,390 --> 00:00:15,470
+الأهمية وإتقانه لابد منه واللي هو موضوع الـ Lens
+
+4
+00:00:15,470 --> 00:00:20,510
+Combinations يعني كيف أنا أتعامل مع optical system
+
+5
+00:00:20,510 --> 00:00:26,130
+ومع رحلة الضوء من object بس مش رحلة خلال عدسة
+
+6
+00:00:26,130 --> 00:00:38,240
+واحدة وإنماmost optical
+
+7
+00:00:38,240 --> 00:00:43,910
+systems consist of several lensesSo, most of the
+
+8
+00:00:43,910 --> 00:00:47,190
+optical systems are made up of multiple lenses,
+
+9
+00:00:47,490 --> 00:00:50,750
+not one lens We want to make an example, we say
+
+10
+00:00:50,750 --> 00:00:54,330
+consider an optical system consisting of two thin
+
+11
+00:00:54,330 --> 00:00:59,690
+lenses in air We have two lenses, these two thin
+
+12
+00:00:59,690 --> 00:01:03,330
+lenses are in the air The first lens has a force
+
+13
+00:01:03,330 --> 00:01:06,930
+of plus five diopters, the second lens has a force
+
+14
+00:01:06,930 --> 00:01:11,450
+of plus eight dioptersand they are separated by 45
+
+15
+00:01:11,450 --> 00:01:13,770
+cm. The distance between the first lens and the
+
+16
+00:01:13,770 --> 00:01:19,810
+second lens is 45 cm. If we place an object on the
+
+17
+00:01:19,810 --> 00:01:23,150
+left of the first lens, which is plus 5, on its
+
+18
+00:01:23,150 --> 00:01:26,370
+left, I mean, we start from the left in Geometric
+
+19
+00:01:26,370 --> 00:01:29,350
+Optics, as it is known, this object moves away
+
+20
+00:01:29,350 --> 00:01:31,610
+from the first lens, which is its force plus 5,
+
+21
+00:01:31,710 --> 00:01:36,230
+which is one meter away, one meter to the left,
+
+22
+00:01:36,810 --> 00:01:40,550
+that is, in front of the first lens.السؤال المطلوب
+
+23
+00:01:40,550 --> 00:01:44,130
+او المطروح where is the final image and what is
+
+24
+00:01:44,130 --> 00:01:47,470
+the total transphase magnification؟ وين الصورة
+
+25
+00:01:47,470 --> 00:01:52,070
+النهائية هتتكون؟ وما هو ال transphase
+
+26
+00:01:52,070 --> 00:01:56,290
+magnification الكل؟ الكل لان انا عندي عدستين من
+
+27
+00:01:56,290 --> 00:01:59,990
+عدسة واحدةIn my mind now, we need to understand a
+
+28
+00:01:59,990 --> 00:02:03,890
+very important rule When I deal with two lenses,
+
+29
+00:02:04,130 --> 00:02:07,790
+more, more than one lens, more than one lens It is
+
+30
+00:02:07,790 --> 00:02:10,930
+very, very, very important that I deal with each
+
+31
+00:02:10,930 --> 00:02:14,070
+lens one by one If I want to succeed in solving a
+
+32
+00:02:14,070 --> 00:02:15,650
+problem like that, a problem like that is not
+
+33
+00:02:15,650 --> 00:02:19,570
+complicated at all But I want to imagine when I
+
+34
+00:02:19,570 --> 00:02:22,310
+deal with the first lens, which in my example is
+
+35
+00:02:22,310 --> 00:02:26,530
+plus fiveI start to imagine that the object is one
+
+36
+00:02:26,530 --> 00:02:28,610
+meter away from the first lens and I completely
+
+37
+00:02:28,610 --> 00:02:32,350
+forget that there is another lens But I finish, I
+
+38
+00:02:32,350 --> 00:02:36,890
+find the first picture of the first lens, my work
+
+39
+00:02:36,890 --> 00:02:40,470
+with the first lens is done I move to the second
+
+40
+00:02:40,470 --> 00:02:44,470
+lens to deal with it, to deal with it When I move
+
+41
+00:02:44,470 --> 00:02:47,430
+to the second lens to deal with it, I forget that
+
+42
+00:02:47,430 --> 00:02:50,510
+there is a first lens So dealing with each lens
+
+43
+00:02:50,510 --> 00:02:55,730
+one by oneهذه القضية مهمة للغاية للغاية للغاية So
+
+44
+00:02:55,730 --> 00:02:59,330
+in paraxial optics, the way to analyze a
+
+45
+00:02:59,330 --> 00:03:03,490
+combination of lenses is to look at each lens
+
+46
+00:03:03,490 --> 00:03:08,250
+individually أنه نتطلع أو نتعامل مع كل عدسة على
+
+47
+00:03:08,250 --> 00:03:13,170
+حده بدون ما .. يعني ندخل شغل العدسات على بعضها
+
+48
+00:03:13,170 --> 00:03:16,050
+البعض ممكن إنسان يسأل طب ليش هذا الكلام؟ ليش أنا
+
+49
+00:03:16,050 --> 00:03:21,430
+مضطر أتعامل مع كل عدسة على حده؟الجواب غير في
+
+50
+00:03:21,430 --> 00:03:25,970
+البساطة، بنقول الان الضوء هيصل للعدسة التانية بعد
+
+51
+00:03:25,970 --> 00:03:29,170
+ما يكون غادر العدسة الأولى، بعد ما يكون غادر
+
+52
+00:03:29,170 --> 00:03:32,490
+العدسة الأولى و خلص شغله معاها، يعني الحالة
+
+53
+00:03:32,490 --> 00:03:36,830
+التشتتية بتاعة الضوء، العدسة الأولى غيرتها و أصبح
+
+54
+00:03:36,830 --> 00:03:41,630
+له حالة تشتتية جديدة، بعد هيك الضوء هيدخل العدسة
+
+55
+00:03:41,630 --> 00:03:46,240
+التانيةSo, the first rule of success in dealing
+
+56
+00:03:46,240 --> 00:03:50,380
+with lens combination or any optical system made
+
+57
+00:03:50,380 --> 00:03:54,420
+up of several lenses is to look at each lens
+
+58
+00:03:54,420 --> 00:04:01,040
+individually Okay, now we need .. this rule has
+
+59
+00:04:01,040 --> 00:04:03,620
+been reached Now there is another thing that I
+
+60
+00:04:03,620 --> 00:04:07,260
+need to understand that each lens in itself is an
+
+61
+00:04:07,260 --> 00:04:11,310
+optical systemAnd all of them in their group are
+
+62
+00:04:11,310 --> 00:04:14,790
+considered as a new optical system Now, as long as
+
+63
+00:04:14,790 --> 00:04:18,230
+each lens is considered as an optical system It
+
+64
+00:04:18,230 --> 00:04:21,150
+means that I should look for the image of the
+
+65
+00:04:21,150 --> 00:04:25,490
+first lens wherever it is in space This image of
+
+66
+00:04:25,490 --> 00:04:27,910
+the first lens is considered as an object of the
+
+67
+00:04:27,910 --> 00:04:32,720
+second lensهذا ال object اللي هو صورة العدسة
+
+68
+00:04:32,720 --> 00:04:35,360
+الأولى اللي اعتبرناه object للعدسة التانية
+
+69
+00:04:35,360 --> 00:04:39,980
+هيتكونله العدسة التانية صورة هذه الصورة تاعت
+
+70
+00:04:39,980 --> 00:04:44,520
+العدسة التانية ممكن تعتبر object للعدسة التالتة
+
+71
+00:04:44,520 --> 00:04:48,440
+إذا في عندي عدسة تالتة و هكذاSo, the first lens
+
+72
+00:04:48,440 --> 00:04:51,460
+image is the object of the second lens, the second
+
+73
+00:04:51,460 --> 00:04:54,380
+lens image is the object of the third lens, the
+
+74
+00:04:54,380 --> 00:04:56,960
+third lens image is the object of the fourth lens,
+
+75
+00:04:57,520 --> 00:05:00,960
+and so on So, the previous lens image is the
+
+76
+00:05:00,960 --> 00:05:04,300
+object of the next lens, the previous lens image
+
+77
+00:05:04,300 --> 00:05:09,180
+is the object of the next lens, the object of the
+
+78
+00:05:09,180 --> 00:05:12,500
+next lens So, I have two rules, the first rule is
+
+79
+00:05:12,500 --> 00:05:15,810
+to deal with each lens individuallyand after that
+
+80
+00:05:15,810 --> 00:05:18,770
+I dealt with each lens one by one I started
+
+81
+00:05:18,770 --> 00:05:22,030
+dealing with the first lens it showed me a picture
+
+82
+00:05:22,030 --> 00:05:24,210
+according to its location in space according to
+
+83
+00:05:24,210 --> 00:05:27,370
+the thin lens equation it showed me a specific
+
+84
+00:05:27,370 --> 00:05:30,170
+location in space I drew the picture at the
+
+85
+00:05:30,170 --> 00:05:32,870
+location that showed up according to the thin lens
+
+86
+00:05:32,870 --> 00:05:35,470
+equation calculations this picture that I drew I
+
+87
+00:05:35,470 --> 00:05:37,690
+want to consider it an object for the next lens
+
+88
+00:05:37,690 --> 00:05:42,140
+which is number 2طيب العدسة رقم اتنين حسبنا حسب ال
+
+89
+00:05:42,140 --> 00:05:46,120
+.. ال thin lens equation طلعتلي صورة هذه الصورة
+
+90
+00:05:46,120 --> 00:05:49,360
+بتاعة العدسة رقم اتنين بتاعتبرها object للعدسة رقم
+
+91
+00:05:49,360 --> 00:05:54,040
+تلاتة و هكذا و هكذا اذا the thin lens equation
+
+92
+00:05:54,040 --> 00:05:58,400
+shows that the first lens produces an image خمسة و
+
+93
+00:05:58,400 --> 00:06:03,420
+عشرين سانتي behind itself with a magnification of
+
+94
+00:06:03,420 --> 00:06:06,750
+minus ربيعIn fact, it is necessary to draw this
+
+95
+00:06:06,750 --> 00:06:20,450
+case, we say as follows We will add a strip We
+
+96
+00:06:20,450 --> 00:06:25,230
+will try to speed up the drawing a bit We say that
+
+97
+00:06:25,230 --> 00:06:26,530
+this is the optical axis
+
+98
+00:06:39,940 --> 00:06:51,700
+This is the first lens which is plus 5 This
+
+99
+00:06:51,700 --> 00:06:53,500
+is the second lens which is plus 8
+
+100
+00:07:18,160 --> 00:07:23,840
+plus 8 diopter the
+
+101
+00:07:23,840 --> 00:07:29,280
+distance between them is 45 cm distance
+
+102
+00:07:29,280 --> 00:07:36,720
+between
+
+103
+00:07:36,720 --> 00:07:40,120
+the first lens and the second lens and I have an
+
+104
+00:07:40,120 --> 00:07:42,580
+object one meter away from the first lens
+
+105
+00:07:45,680 --> 00:07:48,620
+The object is one meter away from the first lens.
+
+106
+00:07:54,460 --> 00:07:57,180
+These objects are clear to me. These objects are
+
+107
+00:07:57,180 --> 00:08:01,700
+clear to me. One meter away from the first lens.
+
+108
+00:08:08,040 --> 00:08:11,380
+In fact, I prefer using colors in drawing in lens
+
+109
+00:08:11,380 --> 00:08:14,820
+combination for beginners, so that there is no
+
+110
+00:08:14,820 --> 00:08:21,300
+confusion in this matter. Now, to make things
+
+111
+00:08:21,300 --> 00:08:24,060
+easier, I want to separate the first lens and the
+
+112
+00:08:24,060 --> 00:08:27,140
+second lens by an imaginary line. This imaginary
+
+113
+00:08:27,140 --> 00:08:30,920
+line is like saying I have a problem alone. Like I
+
+114
+00:08:30,920 --> 00:08:31,920
+have a problem alone.
+
+115
+00:08:35,830 --> 00:08:38,910
+We want to forget this whole area, as if I have
+
+116
+00:08:38,910 --> 00:08:43,150
+one lens, one lens, in front of it an object, to
+
+117
+00:08:43,150 --> 00:08:45,210
+its left an object, which is considered in front
+
+118
+00:08:45,210 --> 00:08:46,670
+of it, at a distance of one meter, the power of
+
+119
+00:08:46,670 --> 00:08:50,770
+the lens plus five diopters, this distance we want
+
+120
+00:08:50,770 --> 00:08:52,390
+to consider that it is not forty-five centimeters,
+
+121
+00:08:52,450 --> 00:08:55,750
+it is extended to infinity. Now, what is required
+
+122
+00:08:55,750 --> 00:08:59,590
+is that wherever the image of the first lens
+
+123
+00:08:59,590 --> 00:09:01,710
+falls, we will say as follows
+
+124
+00:09:12,400 --> 00:09:14,780
+We want to deal with the lens as if I have two
+
+125
+00:09:14,780 --> 00:09:24,120
+lenses and we say as follows We say
+
+126
+00:09:24,120 --> 00:09:29,380
+u is equal to negative n over o
+
+127
+00:09:32,330 --> 00:09:34,850
+Why negative? Because the rays are divergent and
+
+128
+00:09:34,850 --> 00:09:37,550
+it is equal to negative one. Of course, everything
+
+129
+00:09:37,550 --> 00:09:42,410
+in the air, the refractive index is one. Negative
+
+130
+00:09:42,410 --> 00:09:49,030
+one over one meter is equal to negative one over
+
+131
+00:09:49,030 --> 00:09:51,570
+plus one, which is considered negative one. And
+
+132
+00:09:51,570 --> 00:09:53,410
+the meter in the station, when it goes up, it
+
+133
+00:09:53,410 --> 00:09:55,870
+becomes one minus negative one, which is equal to
+
+134
+00:09:55,870 --> 00:09:56,670
+negative one.
+
+135
+00:10:00,330 --> 00:10:05,770
+I want to come and write that here on the front
+
+136
+00:10:05,770 --> 00:10:12,390
+surface of U there is minus 1 and this is U It
+
+137
+00:10:12,390 --> 00:10:15,250
+is as if the light reaches the front surface of
+
+138
+00:10:15,250 --> 00:10:17,990
+the lens and it fluctuatesMinus one, this is
+
+139
+00:10:17,990 --> 00:10:21,070
+better Now, the power of the lens is plus five It
+
+140
+00:10:21,070 --> 00:10:23,710
+will be released to the front surface And it will
+
+141
+00:10:23,710 --> 00:10:26,830
+take the front surface the power of plus one from
+
+142
+00:10:26,830 --> 00:10:30,110
+the plus five And it will remain four This one is
+
+143
+00:10:30,110 --> 00:10:34,250
+to zero the minus one To reach the V how much it
+
+144
+00:10:34,250 --> 00:10:45,010
+equals We say U plus P equals V Equals
+
+145
+00:10:45,010 --> 00:10:53,620
+VU which is minus one diopter plus P which is five
+
+146
+00:10:53,620 --> 00:10:58,760
+diopters equals
+
+147
+00:10:58,760 --> 00:11:07,220
+V so V equals minus one diopter plus five diopters
+
+148
+00:11:07,220 --> 00:11:14,480
+so I have plus four diopters plus four diopters
+
+149
+00:11:17,530 --> 00:11:25,990
+V تساوي أنشرطة على I،
+
+150
+00:11:25,990 --> 00:11:32,770
+إذن I
+
+151
+00:11:32,770 --> 00:11:36,470
+تساوي أنشرطة على V
+
+152
+00:11:41,320 --> 00:11:44,520
+this is equal to, let's say I'm in the same line,
+
+153
+00:11:44,660 --> 00:11:49,080
+is equal to one on V, plus four came out with me
+
+154
+00:11:49,080 --> 00:11:53,640
+quickly I go and put the V here on the back
+
+155
+00:11:53,640 --> 00:11:59,240
+surface of the lens and say plus four, this is
+
+156
+00:11:59,240 --> 00:12:02,160
+startedWhy do I put it on the back of the screen?
+
+157
+00:12:02,300 --> 00:12:04,840
+Because I say that the lens changed the
+
+158
+00:12:04,840 --> 00:12:08,880
+fluctuation state of the light and after it
+
+159
+00:12:08,880 --> 00:12:10,600
+finished dealing with the light, the light came
+
+160
+00:12:10,600 --> 00:12:13,440
+out with a collection or with the power of the
+
+161
+00:12:13,440 --> 00:12:16,720
+collection plus four, this means that the rays are
+
+162
+00:12:16,720 --> 00:12:21,700
+convergent, so it is going to form an image. Now a
+
+163
+00:12:21,700 --> 00:12:24,520
+person can say, okayI mean, why do I intentionally
+
+164
+00:12:24,520 --> 00:12:28,600
+draw or put the U on the front and the V on the
+
+165
+00:12:28,600 --> 00:12:32,020
+back? So that when I reach the transference
+
+166
+00:12:32,020 --> 00:12:34,820
+magnification, which is equal to U over V, I don't
+
+167
+00:12:34,820 --> 00:12:38,740
+get involved in many of these numbers, and it can
+
+168
+00:12:38,740 --> 00:12:45,070
+happen that ..Mixing between numbers, so the U
+
+169
+00:12:45,070 --> 00:12:47,410
+will be placed on the front surface and the V will
+
+170
+00:12:47,410 --> 00:12:50,430
+be placed on the back surface So I is equal to
+
+171
+00:12:50,430 --> 00:12:54,810
+unconditional on V, which is 1 on V which is plus
+
+172
+00:12:54,810 --> 00:13:01,270
+4 diopter and
+
+173
+00:13:01,270 --> 00:13:08,250
+it is equal to 1 on 4 plus 1 or 1 on plus 4 plus
+
+174
+00:13:08,250 --> 00:13:08,630
+quarter
+
+175
+00:13:12,480 --> 00:13:16,260
+والديوبتر اللي هو متر أصناقس واحد لما بيسير في ال
+
+176
+00:13:16,260 --> 00:13:22,560
+bus أو بيطلع من المقام بيسير متر أصناقس واحد و لما
+
+177
+00:13:22,560 --> 00:13:26,740
+بيطلع بيسير متر بيسير متر الديوبتر هو عبارة عن متر
+
+178
+00:13:26,740 --> 00:13:30,000
+أصناقس واحد موجود في المقام لما بطلع و بيسير متر
+
+179
+00:13:30,000 --> 00:13:34,620
+إذا الصورة بتاعة العدسة الأولىOn a distance of a
+
+180
+00:13:34,620 --> 00:13:38,360
+meter, excuse me, on a distance of a quarter of a
+
+181
+00:13:38,360 --> 00:13:41,000
+meter from the lens on its right, because the
+
+182
+00:13:41,000 --> 00:13:43,880
+distance to the plus is the distance to the right
+
+183
+00:13:43,880 --> 00:13:47,080
+of the lens. Any lens in them, we remember
+
+184
+00:13:47,080 --> 00:13:49,540
+completely, we are now working with the first
+
+185
+00:13:49,540 --> 00:13:51,500
+lens, we did not completely put the thick white
+
+186
+00:13:51,500 --> 00:13:55,840
+line here to forget this lens, to forget this
+
+187
+00:13:55,840 --> 00:14:01,530
+lens. NowWe need to consider, or derive a meaning
+
+188
+00:14:01,530 --> 00:14:04,850
+according to the thin lens equation, that the
+
+189
+00:14:04,850 --> 00:14:07,910
+first lens gives me a picture on its right, on its
+
+190
+00:14:07,910 --> 00:14:10,530
+right, at a distance of a quarter of a meter, a
+
+191
+00:14:10,530 --> 00:14:13,030
+quarter of a meter is twenty-five centimeters The
+
+192
+00:14:13,030 --> 00:14:15,490
+distance between the two lenses is forty-five
+
+193
+00:14:15,490 --> 00:14:24,350
+centimeters, so I will have the picture at
+
+194
+00:14:24,350 --> 00:14:28,640
+a distance of twenty-five centimetersfrom the lens
+
+195
+00:14:28,640 --> 00:14:52,800
+this
+
+196
+00:14:52,800 --> 00:14:55,360
+is the first picture that I made
+
+197
+00:15:00,380 --> 00:15:04,980
+the lens this is the first image that was created
+
+198
+00:15:04,980 --> 00:15:07,620
+by the lens did we finish our work with the first
+
+199
+00:15:07,620 --> 00:15:10,660
+lens? of course we didn't finish our work with the
+
+200
+00:15:10,660 --> 00:15:13,140
+first lens we want to calculate for transfers
+
+201
+00:15:13,140 --> 00:15:15,880
+magnification for transfers magnification but
+
+202
+00:15:15,880 --> 00:15:20,660
+first we want to put the distance hypelon this is
+
+203
+00:15:20,660 --> 00:15:25,700
+the distance of the image we
+
+204
+00:15:25,700 --> 00:15:27,280
+say as follows for transfers
+
+205
+00:15:37,400 --> 00:15:46,020
+Magnification is equal to U over V is
+
+206
+00:15:46,020 --> 00:15:56,360
+equal to U minus one diopter over V plus four
+
+207
+00:15:56,360 --> 00:16:02,990
+diopters plus four diopters is equal toPlus over
+
+208
+00:16:02,990 --> 00:16:06,230
+minus, of course X, the X sign is necessary Minus
+
+209
+00:16:06,230 --> 00:16:10,510
+over plus, it becomes minus One over four, which
+
+210
+00:16:10,510 --> 00:16:15,510
+is a quarter Minus a quarter X minus a quarter,
+
+211
+00:16:15,650 --> 00:16:17,530
+and the diopter goes with the diopter, so the
+
+212
+00:16:17,530 --> 00:16:22,050
+picture is upside down
+
+213
+00:16:22,050 --> 00:16:26,990
+The
+
+214
+00:16:26,990 --> 00:16:31,490
+picture is upside downوربع ال object فى الارتفاع
+
+215
+00:16:31,490 --> 00:16:32,170
+وربع ال object فى الارتفاع and a quarter of the
+
+216
+00:16:32,170 --> 00:16:34,130
+object in height يعنى لو فرضنا ال object ارتفاعه
+
+217
+00:16:34,130 --> 00:16:35,910
+عشرة صنطة if we suppose the object is 10 cm high
+
+218
+00:16:35,910 --> 00:16:42,670
+if we suppose the object is 10 cm high it will be
+
+219
+00:16:42,670 --> 00:16:47,790
+2.5 cm high 2.5 cm because it is a quarter of the
+
+220
+00:16:47,790 --> 00:16:49,530
+object in height because it is a quarter of the
+
+221
+00:16:49,530 --> 00:16:50,430
+object in height
+
+222
+00:16:58,050 --> 00:17:05,910
+2.5 cm which is
+
+223
+00:17:05,910 --> 00:17:11,850
+the height of the image Now, to finish this topic,
+
+224
+00:17:11,930 --> 00:17:14,230
+we say that the distance from the lens to the
+
+225
+00:17:14,230 --> 00:17:18,010
+image is 25 cm
+
+226
+00:17:33,030 --> 00:17:35,690
+Here, the height of the object and the image is
+
+227
+00:17:35,690 --> 00:17:42,750
+different from
+
+228
+00:17:42,750 --> 00:17:45,130
+the distance. This is the height. The one with the
+
+229
+00:17:45,130 --> 00:17:48,170
+yellow color is the height. Now, my work is
+
+230
+00:17:48,170 --> 00:17:52,350
+completely done with the first lens. I brought a
+
+231
+00:17:52,350 --> 00:17:54,510
+picture at a distance of how much? And I brought
+
+232
+00:17:54,510 --> 00:17:56,450
+the magnification, the magnification of the first
+
+233
+00:17:56,450 --> 00:18:00,650
+image for the object. Now, I want to remove this
+
+234
+00:18:00,650 --> 00:18:07,690
+line from this side.the work is done this is a
+
+235
+00:18:07,690 --> 00:18:10,430
+lens, where is the object? we said that the first
+
+236
+00:18:10,430 --> 00:18:14,770
+image of the lens is this object for the second
+
+237
+00:18:14,770 --> 00:18:18,930
+lens object for the second lens, so this object
+
+238
+00:18:18,930 --> 00:18:21,810
+needs to calculate its distance in the first one
+
+239
+00:18:22,440 --> 00:18:24,300
+How do I know the distance of the object? We say
+
+240
+00:18:24,300 --> 00:18:27,140
+that the distance between the two lenses is 45 cm
+
+241
+00:18:27,140 --> 00:18:31,120
+and the image is 25 cm away from the first lens,
+
+242
+00:18:31,180 --> 00:18:35,520
+so it remains from the 45, 45 minus, we took 25
+
+243
+00:18:35,520 --> 00:18:41,900
+from them, I still have 20 cm, so this
+
+244
+00:18:41,900 --> 00:18:44,660
+distance is 25 cm
+
+245
+00:18:54,880 --> 00:18:56,960
+Where is the object? Where is the object of the
+
+246
+00:18:56,960 --> 00:19:01,940
+second lens? The object of the second lens is the
+
+247
+00:19:01,940 --> 00:19:03,800
+image of the first lens, which is this one that
+
+248
+00:19:03,800 --> 00:19:06,640
+I'm pointing at The first lens constitutes an
+
+249
+00:19:06,640 --> 00:19:08,340
+image. This image is considered to be the object
+
+250
+00:19:08,340 --> 00:19:10,820
+of the second lens The object of the second lens
+
+251
+00:19:10,820 --> 00:19:16,720
+is 20 cm away from the second lens. Where did you
+
+252
+00:19:16,720 --> 00:19:20,300
+get 20 cm? Where did you know 20 cm? We said in
+
+253
+00:19:20,300 --> 00:19:22,820
+the example given that the total distance between
+
+254
+00:19:22,820 --> 00:19:27,200
+the two lenses is 45 cmBut the first lens formed a
+
+255
+00:19:27,200 --> 00:19:29,280
+picture on its right at a distance of twenty-five
+
+256
+00:19:29,280 --> 00:19:32,820
+centimeters This picture is twenty-five
+
+257
+00:19:32,820 --> 00:19:36,480
+centimeters away from the first lens and twenty
+
+258
+00:19:36,480 --> 00:19:38,820
+centimeters away from the second lens which is
+
+259
+00:19:38,820 --> 00:19:40,900
+forty-five centimeters The total distance between
+
+260
+00:19:40,900 --> 00:19:43,440
+the two lenses is minus twenty-five centimeters
+
+261
+00:19:43,440 --> 00:19:47,240
+The distance of the first image from the first
+
+262
+00:19:47,240 --> 00:19:50,150
+lens remains twenty centimeters this distanceThis
+
+263
+00:19:50,150 --> 00:19:53,330
+first picture, picture number one, which is of the
+
+264
+00:19:53,330 --> 00:19:56,790
+first lens, is considered a body .. is considered
+
+265
+00:19:56,790 --> 00:20:00,410
+a body of the second lens Okay, now we want to
+
+266
+00:20:00,410 --> 00:20:05,350
+start the solution ..
+
+267
+00:20:05,350 --> 00:20:09,890
+in
+
+268
+00:20:09,890 --> 00:20:13,490
+the same way that we did the solution with the
+
+269
+00:20:13,490 --> 00:20:14,730
+lens ..
+
+270
+00:20:20,700 --> 00:20:29,740
+بنقول U تساوي ناقص N على O و
+
+271
+00:20:29,740 --> 00:20:30,380
+يساوي
+
+272
+00:20:33,440 --> 00:20:37,280
+minus 1 over O which is the distance of the object
+
+273
+00:20:37,280 --> 00:20:40,520
+any object that we finish with this from the white
+
+274
+00:20:40,520 --> 00:20:43,640
+line and left we forget it completely we deal with
+
+275
+00:20:43,640 --> 00:20:48,780
+each lens one by one minus N over O which is the
+
+276
+00:20:48,780 --> 00:20:51,220
+object of the second lens which is this picture
+
+277
+00:20:51,220 --> 00:20:53,060
+this picture now I want to consider it as an
+
+278
+00:20:53,060 --> 00:20:56,640
+object minus 1 over 20 centimeters which is 2 out
+
+279
+00:20:56,640 --> 00:21:04,260
+of 10 meters and equalsMinus one out of two from
+
+280
+00:21:04,260 --> 00:21:08,740
+ten to five, that's better Meter in the station,
+
+281
+00:21:08,840 --> 00:21:11,040
+when it goes up, it becomes meter minus one,
+
+282
+00:21:11,040 --> 00:21:16,860
+that's better Quickly, I go and put on the front
+
+283
+00:21:16,860 --> 00:21:20,480
+surface of the lens, the U, which is the latitude
+
+284
+00:21:20,480 --> 00:21:23,860
+that the light reaches Minus five, that's better
+
+285
+00:21:23,860 --> 00:21:27,580
+On the front surface of the lens
+
+286
+00:21:32,560 --> 00:21:34,760
+We continue, we say that the intensity of the lens
+
+287
+00:21:34,760 --> 00:21:41,640
+is 8, we calculate the V, it will go from 8 to 5
+
+288
+00:21:41,640 --> 00:21:44,480
+to cancel the oscillation, and it will stay with
+
+289
+00:21:44,480 --> 00:21:49,180
+it after losing 5 to 2, it will stay with it 3.
+
+290
+00:21:49,340 --> 00:21:58,860
+Look at this case, we say U plus P equals V equals
+
+291
+00:21:58,860 --> 00:22:02,100
+V. Okay, okay, now
+
+292
+00:22:04,790 --> 00:22:13,810
+u minus 5 diopters plus 8 diopters equals
+
+293
+00:22:13,810 --> 00:22:14,570
+v,
+
+294
+00:22:17,270 --> 00:22:24,410
+so v equals plus 3 diopters
+
+295
+00:22:26,760 --> 00:22:30,820
+Quickly, I'll go again and write on the back of
+
+296
+00:22:30,820 --> 00:22:33,560
+the screen that the divergent case of the light
+
+297
+00:22:33,560 --> 00:22:37,620
+after leaving is plus three diopters because the
+
+298
+00:22:37,620 --> 00:22:40,660
+light's divergent case reached a divergent
+
+299
+00:22:40,660 --> 00:22:44,360
+divergent of five diopters and turned out to be a
+
+300
+00:22:44,360 --> 00:22:47,540
+convergent of three diopters. That is, it is as if
+
+301
+00:22:47,540 --> 00:22:49,900
+the lens, which has a force of plus eight, turned
+
+302
+00:22:49,900 --> 00:22:53,340
+from minus five divergent to plus three
+
+303
+00:22:53,340 --> 00:22:56,100
+convergent. To plus three convergent. So
+
+304
+00:22:58,990 --> 00:23:00,910
+I see where this picture is going to form, the
+
+305
+00:23:00,910 --> 00:23:02,810
+final picture, which is the picture of the second
+
+306
+00:23:02,810 --> 00:23:05,650
+lens, which is V is equal to the condition on I
+
+307
+00:23:05,650 --> 00:23:10,750
+then
+
+308
+00:23:10,750 --> 00:23:15,950
+I
+
+309
+00:23:15,950 --> 00:23:18,770
+is equal to the condition on V, I change the place
+
+310
+00:23:18,770 --> 00:23:24,530
+of each other and it is equal to the condition one
+
+311
+00:23:24,530 --> 00:23:28,050
+on the V we got plus three, this is positive
+
+312
+00:23:34,330 --> 00:23:42,410
+وهي ساوى واحد ع plus تلاتة plus تلت متر plus تلت
+
+313
+00:23:42,410 --> 00:23:48,010
+او تلاتة و تلاتين صنطة تقريبا تلت متر plus تلاتة و
+
+314
+00:23:48,010 --> 00:23:49,490
+تلاتين من مية متر
+
+315
+00:23:52,200 --> 00:23:54,640
+The meter from where you got the diopter is meter
+
+316
+00:23:54,640 --> 00:23:57,320
+plus minus one. It is present in the position when
+
+317
+00:23:57,320 --> 00:23:59,940
+it goes up, it becomes a meter. It becomes a
+
+318
+00:23:59,940 --> 00:24:03,800
+meter. So plus 33 out of 100 meters.
+
+319
+00:24:07,120 --> 00:24:12,320
+Plus 33, yes, 33 out of 100 meters. This picture
+
+320
+00:24:13,430 --> 00:24:15,110
+What does plus mean? It means the length of the
+
+321
+00:24:15,110 --> 00:24:19,790
+lens, which is 33
+
+322
+00:24:19,790 --> 00:24:24,570
+cm. Of course, the distances of the image, the
+
+323
+00:24:24,570 --> 00:24:26,550
+first picture and the second picture, I write them
+
+324
+00:24:26,550 --> 00:24:30,630
+in red so that I don't get confused. So, the
+
+325
+00:24:30,630 --> 00:24:36,650
+second picture should be 33 cm away from the ...
+
+326
+00:24:39,560 --> 00:24:42,980
+from the lens that made it up from the lens that
+
+327
+00:24:42,980 --> 00:24:45,240
+made it up okay we say the transference
+
+328
+00:24:45,240 --> 00:24:54,840
+magnification the
+
+329
+00:24:54,840 --> 00:25:00,080
+transference magnification is equal to u over v
+
+330
+00:25:00,080 --> 00:25:03,400
+and
+
+331
+00:25:03,400 --> 00:25:05,520
+it is equal to I take out the drawing directly the
+
+332
+00:25:05,520 --> 00:25:06,880
+u minus five this is greater than
+
+333
+00:25:11,140 --> 00:25:11,860
+transference magnification x minus transference
+
+334
+00:25:11,860 --> 00:25:18,460
+magnification y minus
+
+335
+00:25:18,460 --> 00:25:21,540
+transference magnification y minus transference
+
+336
+00:25:21,540 --> 00:25:25,860
+magnification x minus transference magnification y
+
+337
+00:25:25,860 --> 00:25:28,500
+minus transference magnification x minus
+
+338
+00:25:28,500 --> 00:25:29,820
+transference magnification y minus transference
+
+339
+00:25:29,820 --> 00:25:30,260
+magnification x minus transference magnification y
+
+340
+00:25:30,260 --> 00:25:31,060
+minus transference magnification x minus
+
+341
+00:25:31,060 --> 00:25:31,520
+transference magnification y minus transference
+
+342
+00:25:31,520 --> 00:25:32,440
+magnification x minus transference magnification x
+
+343
+00:25:32,440 --> 00:25:32,940
+minus transference magnification x minus
+
+344
+00:25:32,940 --> 00:25:33,420
+transference magnification x minus transference
+
+345
+00:25:33,420 --> 00:25:35,840
+magnification x minus transference magnification x
+
+346
+00:25:35,840 --> 00:25:36,200
+magnification x minus transference magnification x
+
+347
+00:25:36,200 --> 00:25:36,500
+minus transference magnification x minus
+
+348
+00:25:36,500 --> 00:25:36,520
+magnification x minus transference magnification x
+
+349
+00:25:36,520 --> 00:25:36,560
+minus transference magnification x minus
+
+350
+00:25:36,560 --> 00:25:36,780
+transference magnification x minus transference
+
+351
+00:25:36,780 --> 00:25:36,940
+magnification x minus transference magnification x
+
+352
+00:25:36,940 --> 00:25:39,300
+magnification x minus transference magnification x
+
+353
+00:25:39,300 --> 00:25:45,060
+minus transferenceminus 61% diopter What does it
+
+354
+00:25:45,060 --> 00:25:47,920
+mean that the image is upside down? The image is
+
+355
+00:25:47,920 --> 00:25:49,340
+upside down Can a person say that it is upside
+
+356
+00:25:49,340 --> 00:25:52,920
+down? That's it, it is below the optical axis
+
+357
+00:25:52,920 --> 00:25:56,120
+Here, here we say to those who say that the image
+
+358
+00:25:56,120 --> 00:25:58,440
+is below the optical axis You started to mix
+
+359
+00:25:58,440 --> 00:26:02,970
+between the two lenses This lensمالناش فيها. هذا
+
+360
+00:26:02,970 --> 00:26:06,410
+الجزء من المسألة خلص وانتهى زمانه. الان احنا
+
+361
+00:26:06,410 --> 00:26:10,070
+بنتعامل مع هذا الجزء من المسألة الصورة مجلوبة،
+
+362
+00:26:10,070 --> 00:26:13,750
+ممتاز جدا، متفقين ان الصورة مجلوبة، بالنسبة لمين؟
+
+363
+00:26:13,750 --> 00:26:17,270
+بالنسبة لل object بتاعها، طب وين ال object بتاعها؟
+
+364
+00:26:17,270 --> 00:26:20,850
+ال object بتاعها تحت ال optical axisunder the
+
+365
+00:26:20,850 --> 00:26:23,610
+optical axis as long as it's under the optical
+
+366
+00:26:23,610 --> 00:26:26,330
+axis and it's upside down for it, then it's upside
+
+367
+00:26:26,330 --> 00:26:29,090
+down, upside down, straight up upside down, upside
+
+368
+00:26:29,090 --> 00:26:35,070
+down, straight up, so it's 33 cm away from the
+
+369
+00:26:35,070 --> 00:26:38,610
+other lens to the right of the other lens, so it
+
+370
+00:26:38,610 --> 00:26:43,710
+will be above the optical axis with a distance of
+
+371
+00:26:43,710 --> 00:26:50,080
+33 cm, 33 cmand one and two-thirds bigger than its
+
+372
+00:26:50,080 --> 00:26:58,520
+object one and two-thirds bigger than its object
+
+373
+00:26:58,520 --> 00:27:03,620
+So, it is inverted with respect to its object with
+
+374
+00:27:03,620 --> 00:27:07,880
+respect to its object So, now we want to say as
+
+375
+00:27:07,880 --> 00:27:12,210
+followsNow, the second part of the question is not
+
+376
+00:27:12,210 --> 00:27:14,510
+finished yet The last part of the question, of
+
+377
+00:27:14,510 --> 00:27:16,350
+course, we put here that the distance is thirty
+
+378
+00:27:16,350 --> 00:27:21,390
+-three centimeters, a third of a meter The
+
+379
+00:27:21,390 --> 00:27:24,830
+distance is thirty-three centimeters, which is a
+
+380
+00:27:24,830 --> 00:27:26,890
+third of a meter The distance between the second
+
+381
+00:27:26,890 --> 00:27:31,330
+image, which is the final image, and the lens that
+
+382
+00:27:31,330 --> 00:27:34,610
+formed it This is the final image Now we calculate
+
+383
+00:27:34,610 --> 00:27:37,130
+the total transfers magnification
+
+384
+00:27:52,870 --> 00:27:59,790
+Total Transfers Magnification
+
+385
+00:27:59,790 --> 00:28:05,370
+Total Transfers Magnification Total Transfers
+
+386
+00:28:05,370 --> 00:28:10,550
+Magnification Total Transfers Magnification Total
+
+387
+00:28:10,550 --> 00:28:15,410
+Transfers
+
+388
+00:28:15,410 --> 00:28:19,510
+Magnification Total Transfers Magnification
+
+389
+00:28:26,080 --> 00:28:30,400
+multiply by minus
+
+390
+00:28:30,400 --> 00:28:35,480
+one point sixty six percent which is equal to
+
+391
+00:28:35,480 --> 00:28:51,340
+let's go to the computer let's
+
+392
+00:28:51,340 --> 00:29:01,420
+say quarter multiply byone point sixty-six one
+
+393
+00:29:01,420 --> 00:29:03,580
+point sixty-six one point sixty-six one point
+
+394
+00:29:03,580 --> 00:29:04,480
+sixty-six one point sixty-six one point sixty-six
+
+395
+00:29:04,480 --> 00:29:04,520
+one point sixty-six one point sixty-six one point
+
+396
+00:29:04,520 --> 00:29:04,540
+sixty-six one point sixty-six one point sixty-six
+
+397
+00:29:04,540 --> 00:29:04,640
+one point sixty-six one point sixty-six one point
+
+398
+00:29:04,640 --> 00:29:05,200
+sixty-six one point sixty-six one point sixty-six
+
+399
+00:29:05,200 --> 00:29:05,740
+one point sixty-six one point sixty-six one point
+
+400
+00:29:05,740 --> 00:29:07,240
+one point sixty-six one point sixty-six one point
+
+401
+00:29:07,240 --> 00:29:08,000
+sixty-six one point sixty-six one point sixty-six
+
+402
+00:29:08,000 --> 00:29:10,340
+sixty-six one point sixty-six one point sixty-six
+
+403
+00:29:10,340 --> 00:29:13,160
+one point sixty-six one point sixty-six one point
+
+404
+00:29:13,160 --> 00:29:21,410
+sixty-six one point sixty-and approximately 4
+
+405
+00:29:21,410 --> 00:29:27,450
+out of 10 x 4 out of 10 x plus 4 out of 10 now
+
+406
+00:29:27,450 --> 00:29:42,690
+this I want to make it bigger and
+
+407
+00:29:42,690 --> 00:29:45,470
+color it with another color completely different
+
+408
+00:29:54,520 --> 00:29:58,500
+What does X mean? Or the total transfer
+
+409
+00:29:58,500 --> 00:30:03,020
+magnification X plus four out of ten We say as
+
+410
+00:30:03,020 --> 00:30:06,920
+follows Total transfer magnification means how
+
+411
+00:30:06,920 --> 00:30:11,000
+much the final image is magnified compared to the
+
+412
+00:30:11,000 --> 00:30:14,080
+original first object TM1 is the magnification of
+
+413
+00:30:14,080 --> 00:30:20,360
+the first image compared to its object TM2 is the
+
+414
+00:30:20,360 --> 00:30:22,020
+magnification of the second image compared to its
+
+415
+00:30:22,020 --> 00:30:27,460
+objectTM Total Transverse Magnification Total يعني
+
+416
+00:30:27,460 --> 00:30:32,020
+قداش تكبير تكبير الصورة النهائية بالنسبة للجسم
+
+417
+00:30:32,020 --> 00:30:36,080
+الأول تقريبا بتطلع أربعة من عشرة منه قولنا ارتفاعه
+
+418
+00:30:36,080 --> 00:30:39,800
+عشرة سانتي طبعا plus يعني الصورة معتادلة الصورة
+
+419
+00:30:39,800 --> 00:30:42,900
+النهائية في ال total magnification الصورة النهائية
+
+420
+00:30:42,900 --> 00:30:46,620
+معتادلة بالنسبة لل object الأصلي هو فوق ال optical
+
+421
+00:30:46,620 --> 00:30:50,300
+axis و هي فوق ال optical axis ارتفاعها تقريبا
+
+422
+00:30:50,300 --> 00:30:54,020
+أربعة من عشرة من ارتفاع ال object الأصليواحنا قلنا
+
+423
+00:30:54,020 --> 00:30:56,960
+ال object الاصلي فرضناه عشرة سانتي فهي هتكون
+
+424
+00:30:56,960 --> 00:31:01,320
+ارتفاعها أربع سانتي تقريبا، أربع سانتي تقريبا
+
+425
+00:31:16,260 --> 00:31:19,420
+This is how the whole problem ended with us
+
+426
+00:31:19,420 --> 00:31:23,040
+dealing with each lens one by one and now I
+
+427
+00:31:23,040 --> 00:31:26,540
+separate the line or delete the line that exists
+
+428
+00:31:26,540 --> 00:31:32,520
+between the two lenses. This is dealing with the
+
+429
+00:31:32,520 --> 00:31:36,270
+lens combination.notice that some people say the
+
+430
+00:31:36,270 --> 00:31:38,270
+total magnification or the first transference
+
+431
+00:31:38,270 --> 00:31:40,790
+magnification and the second transference
+
+432
+00:31:40,790 --> 00:31:43,370
+magnification should be combined, of course this
+
+433
+00:31:43,370 --> 00:31:47,610
+is a very big mistake, why? because we exaggerated
+
+434
+00:31:47,610 --> 00:31:50,590
+somethingor we make it smaller and it has a
+
+435
+00:31:50,590 --> 00:31:53,170
+certain size, from this certain size, we enlarge
+
+436
+00:31:53,170 --> 00:32:01,190
+it again, enlarge it again, so it will be almost
+
+437
+00:32:01,190 --> 00:32:06,830
+necessary to hit it, not to put togetherThe total
+
+438
+00:32:06,830 --> 00:32:11,150
+transphase magnification is equal to Tm1
+
+439
+00:32:11,150 --> 00:32:13,850
+multiplied by Tm2 multiplied by Tm3 This is the
+
+440
+00:32:13,850 --> 00:32:17,150
+end of the lecture. God bless you all. And we
+
+441
+00:32:17,150 --> 00:32:21,770
+remind you that there will be several training
+
+442
+00:32:21,770 --> 00:32:23,790
+sessions on this topic in our training sessions.
+
+443
+00:32:24,110 --> 00:32:27,090
+God bless you all and peace be upon you all.
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/EdpKoyPVmO4_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/EdpKoyPVmO4_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..c4b1ae7458ed31319e01135b6dbe26d729fe8366
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/EdpKoyPVmO4_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2353, "start": 1.53, "end": 23.53, "text": " I'm Rahim. We have a question about the virtual image with lens combination. The object is 10 cm away from the first lens, which has a force of plus 6 diopters. The second lens, which is 15 cm away from it to the right, has a force of plus 4.5 diopters. Where is the final image?", "tokens": [286, 478, 17844, 332, 13, 492, 362, 257, 1168, 466, 264, 6374, 3256, 365, 6765, 6562, 13, 440, 2657, 307, 1266, 14668, 1314, 490, 264, 700, 6765, 11, 597, 575, 257, 3464, 295, 1804, 1386, 1026, 404, 1559, 13, 440, 1150, 6765, 11, 597, 307, 2119, 14668, 1314, 490, 309, 281, 264, 558, 11, 575, 257, 3464, 295, 1804, 1017, 13, 20, 1026, 404, 1559, 13, 2305, 307, 264, 2572, 3256, 30], "avg_logprob": -0.3919092433093345, "compression_ratio": 1.6091954022988506, "no_speech_prob": 2.2292137145996094e-05, "words": [{"start": 1.53, "end": 1.95, "word": " I'm", "probability": 0.45196533203125}, {"start": 1.95, "end": 2.41, "word": " Rahim.", "probability": 0.808349609375}, {"start": 3.05, "end": 3.39, "word": " We", "probability": 0.6787109375}, {"start": 3.39, "end": 3.39, "word": " have", "probability": 0.89990234375}, {"start": 3.39, "end": 3.53, "word": " a", "probability": 0.9140625}, {"start": 3.53, "end": 3.73, "word": " question", "probability": 0.7705078125}, {"start": 3.73, "end": 4.05, "word": " about", "probability": 0.66064453125}, {"start": 4.05, "end": 4.17, "word": " the", "probability": 0.6416015625}, {"start": 4.17, "end": 4.49, "word": " virtual", "probability": 0.8017578125}, {"start": 4.49, "end": 5.05, "word": " image", "probability": 0.91357421875}, {"start": 5.05, "end": 5.53, "word": " with", "probability": 0.62060546875}, {"start": 5.53, "end": 5.81, "word": " lens", "probability": 0.60107421875}, {"start": 5.81, "end": 6.55, "word": " combination.", "probability": 0.82568359375}, {"start": 7.13, "end": 7.25, "word": " The", "probability": 0.38916015625}, {"start": 7.25, "end": 7.79, "word": " object", "probability": 0.7548828125}, {"start": 7.79, "end": 8.09, "word": " is", "probability": 0.6025390625}, {"start": 8.09, "end": 8.61, "word": " 10", "probability": 0.51904296875}, {"start": 8.61, "end": 9.13, "word": " cm", "probability": 0.56005859375}, {"start": 9.13, "end": 9.13, "word": " away", "probability": 0.57861328125}, {"start": 9.13, "end": 9.31, "word": " from", "probability": 0.875}, {"start": 9.31, "end": 9.41, "word": " the", "probability": 0.89111328125}, {"start": 9.41, "end": 10.09, "word": " first", "probability": 0.755859375}, {"start": 10.09, "end": 10.13, "word": " lens,", "probability": 0.79541015625}, {"start": 11.13, "end": 11.17, "word": " which", "probability": 0.5380859375}, {"start": 11.17, "end": 11.57, "word": " has", "probability": 0.47119140625}, {"start": 11.57, "end": 11.57, "word": " a", "probability": 0.64697265625}, {"start": 11.57, "end": 11.57, "word": " force", "probability": 0.378662109375}, {"start": 11.57, "end": 11.73, "word": " of", "probability": 0.80859375}, {"start": 11.73, "end": 12.01, "word": " plus", "probability": 0.406982421875}, {"start": 12.01, "end": 12.29, "word": " 6", "probability": 0.83056640625}, {"start": 12.29, "end": 12.87, "word": " diopters.", "probability": 0.691650390625}, {"start": 13.35, "end": 13.61, "word": " The", "probability": 0.833984375}, {"start": 13.61, "end": 14.31, "word": " second", "probability": 0.81689453125}, {"start": 14.31, "end": 14.31, "word": " lens,", "probability": 0.8916015625}, {"start": 14.67, "end": 14.67, "word": " which", "probability": 0.74560546875}, {"start": 14.67, "end": 14.77, "word": " is", "probability": 0.908203125}, {"start": 14.77, "end": 15.49, "word": " 15", "probability": 0.927734375}, {"start": 15.49, "end": 16.39, "word": " cm", "probability": 0.90869140625}, {"start": 16.39, "end": 16.39, "word": " away", "probability": 0.81201171875}, {"start": 16.39, "end": 16.39, "word": " from", "probability": 0.671875}, {"start": 16.39, "end": 16.39, "word": " it", "probability": 0.487548828125}, {"start": 16.39, "end": 16.93, "word": " to", "probability": 0.22607421875}, {"start": 16.93, "end": 17.05, "word": " the", "probability": 0.87890625}, {"start": 17.05, "end": 17.57, "word": " right,", "probability": 0.9189453125}, {"start": 17.91, "end": 18.35, "word": " has", "probability": 0.642578125}, {"start": 18.35, "end": 18.35, "word": " a", "probability": 0.95361328125}, {"start": 18.35, "end": 18.49, "word": " force", "probability": 0.951171875}, {"start": 18.49, "end": 18.73, "word": " of", "probability": 0.947265625}, {"start": 18.73, "end": 18.99, "word": " plus", "probability": 0.81298828125}, {"start": 18.99, "end": 19.37, "word": " 4", "probability": 0.90185546875}, {"start": 19.37, "end": 19.95, "word": ".5", "probability": 0.759765625}, {"start": 19.95, "end": 20.53, "word": " diopters.", "probability": 0.9244791666666666}, {"start": 21.05, "end": 21.31, "word": " Where", "probability": 0.32861328125}, {"start": 21.31, "end": 22.43, "word": " is", "probability": 0.900390625}, {"start": 22.43, "end": 22.67, "word": " the", "probability": 0.908203125}, {"start": 22.67, "end": 22.95, "word": " final", "probability": 0.8994140625}, {"start": 22.95, "end": 23.53, "word": " image?", "probability": 0.90380859375}], "temperature": 1.0}, {"id": 2, "seek": 3684, "start": 29.86, "end": 36.84, "text": " Transphase Magnification In order to solve this problem, we must deal with each lens separately", "tokens": [6531, 43331, 19664, 3774, 682, 1668, 281, 5039, 341, 1154, 11, 321, 1633, 2028, 365, 1184, 6765, 14759], "avg_logprob": -0.5185033020220304, "compression_ratio": 1.103448275862069, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 29.86, "end": 30.68, "word": " Transphase", "probability": 0.72314453125}, {"start": 30.68, "end": 31.5, "word": " Magnification", "probability": 0.8505859375}, {"start": 31.5, "end": 32.8, "word": " In", "probability": 0.1585693359375}, {"start": 32.8, "end": 32.8, "word": " order", "probability": 0.91845703125}, {"start": 32.8, "end": 32.98, "word": " to", "probability": 0.96484375}, {"start": 32.98, "end": 33.18, "word": " solve", "probability": 0.69677734375}, {"start": 33.18, "end": 33.44, "word": " this", "probability": 0.89111328125}, {"start": 33.44, "end": 33.86, "word": " problem,", "probability": 0.63818359375}, {"start": 34.58, "end": 34.58, "word": " we", "probability": 0.556640625}, {"start": 34.58, "end": 34.96, "word": " must", "probability": 0.320556640625}, {"start": 34.96, "end": 35.44, "word": " deal", "probability": 0.49365234375}, {"start": 35.44, "end": 35.7, "word": " with", "probability": 0.91064453125}, {"start": 35.7, "end": 36.02, "word": " each", "probability": 0.7041015625}, {"start": 36.02, "end": 36.42, "word": " lens", "probability": 0.419677734375}, {"start": 36.42, "end": 36.84, "word": " separately", "probability": 0.290283203125}], "temperature": 1.0}, {"id": 3, "seek": 6313, "start": 37.61, "end": 63.13, "text": "بنروح حاطين ورقة تفسر أو تغطي الجزء التاني من المسألة، بنعتبر إنه عندنا مسألة واحدة أو عدسة واحدة عبارة object مع عدسة واحدة لثانية لها، بنقول الضوء هيصل بتشتت مقدار U يساوي ناقص N على O ويساوي ناقص واحد عشرة centimeter، يعني واحد من عشرة متر، ويساوي ناقص", "tokens": [3555, 1863, 32887, 5016, 11331, 41193, 9957, 4032, 2288, 28671, 6055, 36178, 2288, 34051, 6055, 17082, 9566, 1829, 25724, 11622, 38207, 16712, 7649, 1829, 9154, 9673, 3794, 10721, 37977, 12399, 44945, 34268, 26890, 36145, 3224, 43242, 8315, 47524, 10721, 37977, 36764, 24401, 3660, 34051, 6225, 3215, 3794, 3660, 36764, 24401, 3660, 6225, 3555, 9640, 3660, 2657, 20449, 6225, 3215, 3794, 3660, 36764, 24401, 3660, 5296, 12984, 7649, 10632, 5296, 11296, 12399, 4724, 1863, 39648, 2423, 11242, 2407, 38207, 39896, 36520, 39894, 8592, 2655, 2655, 3714, 28543, 9640, 624, 7251, 3794, 995, 45865, 8717, 995, 4587, 9381, 426, 15844, 422, 4032, 1829, 3794, 995, 45865, 8717, 995, 4587, 9381, 36764, 24401, 6225, 8592, 25720, 31914, 12399, 37495, 22653, 36764, 24401, 9154, 6225, 8592, 25720, 44650, 2288, 12399, 4032, 1829, 3794, 995, 45865, 8717, 995, 4587, 9381], "avg_logprob": -0.20921415211085012, "compression_ratio": 1.842323651452282, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 37.61, "end": 38.05, "word": "بنروح", "probability": 0.7657470703125}, {"start": 38.05, "end": 38.51, "word": " حاطين", "probability": 0.5309244791666666}, {"start": 38.51, "end": 39.33, "word": " ورقة", "probability": 0.947265625}, {"start": 39.33, "end": 40.15, "word": " تفسر", "probability": 0.8151041666666666}, {"start": 40.15, "end": 40.29, "word": " أو", "probability": 0.7431640625}, {"start": 40.29, "end": 40.95, "word": " تغطي", "probability": 0.9619140625}, {"start": 40.95, "end": 41.73, "word": " الجزء", "probability": 0.9578450520833334}, {"start": 41.73, "end": 42.17, "word": " التاني", "probability": 0.96533203125}, {"start": 42.17, "end": 42.33, "word": " من", "probability": 0.98974609375}, {"start": 42.33, "end": 42.93, "word": " المسألة،", "probability": 0.8154296875}, {"start": 42.93, "end": 43.35, "word": " بنعتبر", "probability": 0.7525227864583334}, {"start": 43.35, "end": 43.53, "word": " إنه", "probability": 0.4814453125}, {"start": 43.53, "end": 43.73, "word": " عندنا", "probability": 0.705810546875}, {"start": 43.73, "end": 44.17, "word": " مسألة", "probability": 0.97265625}, {"start": 44.17, "end": 44.79, "word": " واحدة", "probability": 0.9951171875}, {"start": 44.79, "end": 45.25, "word": " أو", "probability": 0.8671875}, {"start": 45.25, "end": 45.61, "word": " عدسة", "probability": 0.97802734375}, {"start": 45.61, "end": 45.95, "word": " واحدة", "probability": 0.9973958333333334}, {"start": 45.95, "end": 46.31, "word": " عبارة", "probability": 0.9556884765625}, {"start": 46.31, "end": 46.77, "word": " object", "probability": 0.91748046875}, {"start": 46.77, "end": 47.13, "word": " مع", "probability": 0.88427734375}, {"start": 47.13, "end": 47.61, "word": " عدسة", "probability": 0.99462890625}, {"start": 47.61, "end": 48.23, "word": " واحدة", "probability": 0.99658203125}, {"start": 48.23, "end": 49.49, "word": " لثانية", "probability": 0.877197265625}, {"start": 49.49, "end": 49.95, "word": " لها،", "probability": 0.642578125}, {"start": 49.95, "end": 50.39, "word": " بنقول", "probability": 0.7344563802083334}, {"start": 50.39, "end": 51.49, "word": " الضوء", "probability": 0.78021240234375}, {"start": 51.49, "end": 52.01, "word": " هيصل", "probability": 0.771728515625}, {"start": 52.01, "end": 52.71, "word": " بتشتت", "probability": 0.583709716796875}, {"start": 52.71, "end": 53.31, "word": " مقدار", "probability": 0.8141276041666666}, {"start": 53.31, "end": 53.97, "word": " U", "probability": 0.7001953125}, {"start": 53.97, "end": 54.87, "word": " يساوي", "probability": 0.815185546875}, {"start": 54.87, "end": 55.41, "word": " ناقص", "probability": 0.8553466796875}, {"start": 55.41, "end": 55.73, "word": " N", "probability": 0.802734375}, {"start": 55.73, "end": 55.99, "word": " على", "probability": 0.810546875}, {"start": 55.99, "end": 56.37, "word": " O", "probability": 0.986328125}, {"start": 56.37, "end": 57.31, "word": " ويساوي", "probability": 0.8640625}, {"start": 57.31, "end": 57.75, "word": " ناقص", "probability": 0.988037109375}, {"start": 57.75, "end": 58.25, "word": " واحد", "probability": 0.76904296875}, {"start": 58.25, "end": 58.67, "word": " عشرة", "probability": 0.8883463541666666}, {"start": 58.67, "end": 59.23, "word": " centimeter،", "probability": 0.277313232421875}, {"start": 59.23, "end": 59.31, "word": " يعني", "probability": 0.94091796875}, {"start": 59.31, "end": 59.73, "word": " واحد", "probability": 0.9814453125}, {"start": 59.73, "end": 59.93, "word": " من", "probability": 0.99072265625}, {"start": 59.93, "end": 60.41, "word": " عشرة", "probability": 0.8919270833333334}, {"start": 60.41, "end": 61.41, "word": " متر،", "probability": 0.8045247395833334}, {"start": 61.41, "end": 62.13, "word": " ويساوي", "probability": 0.97265625}, {"start": 62.13, "end": 63.13, "word": " ناقص", "probability": 0.990966796875}], "temperature": 1.0}, {"id": 4, "seek": 9492, "start": 66.22, "end": 94.92, "text": " Minus 10, and the meter is minus 1, which is a diopter. So, U is minus 10 diopters. Minus 10 diopters. How much oscillation will the light produce? It is said that U plus the power is equal to V. V is the oscillation factor after leaving the lens. U minus 10 diopters plus the power 6 diopters is equal to V. So, V is equal to minus 4 diopters.", "tokens": [2829, 301, 1266, 11, 293, 264, 9255, 307, 3175, 502, 11, 597, 307, 257, 1026, 404, 391, 13, 407, 11, 624, 307, 3175, 1266, 1026, 404, 1559, 13, 2829, 301, 1266, 1026, 404, 1559, 13, 1012, 709, 18225, 399, 486, 264, 1442, 5258, 30, 467, 307, 848, 300, 624, 1804, 264, 1347, 307, 2681, 281, 691, 13, 691, 307, 264, 277, 4417, 373, 399, 5952, 934, 5012, 264, 6765, 13, 624, 3175, 1266, 1026, 404, 1559, 1804, 264, 1347, 1386, 1026, 404, 1559, 307, 2681, 281, 691, 13, 407, 11, 691, 307, 2681, 281, 3175, 1017, 1026, 404, 1559, 13], "avg_logprob": -0.4526608946299789, "compression_ratio": 1.9273743016759777, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 66.22, "end": 66.64, "word": " Minus", "probability": 0.544525146484375}, {"start": 66.64, "end": 66.94, "word": " 10,", "probability": 0.62841796875}, {"start": 67.1, "end": 67.22, "word": " and", "probability": 0.71923828125}, {"start": 67.22, "end": 67.28, "word": " the", "probability": 0.249755859375}, {"start": 67.28, "end": 67.44, "word": " meter", "probability": 0.73779296875}, {"start": 67.44, "end": 67.64, "word": " is", "probability": 0.202392578125}, {"start": 67.64, "end": 67.92, "word": " minus", "probability": 0.5986328125}, {"start": 67.92, "end": 68.32, "word": " 1,", "probability": 0.79248046875}, {"start": 68.62, "end": 68.66, "word": " which", "probability": 0.360107421875}, {"start": 68.66, "end": 68.78, "word": " is", "probability": 0.4072265625}, {"start": 68.78, "end": 69.18, "word": " a", "probability": 0.1346435546875}, {"start": 69.18, "end": 69.5, "word": " diopter.", "probability": 0.8318684895833334}, {"start": 69.6, "end": 69.84, "word": " So,", "probability": 0.61767578125}, {"start": 69.94, "end": 70.28, "word": " U", "probability": 0.54736328125}, {"start": 70.28, "end": 70.44, "word": " is", "probability": 0.546875}, {"start": 70.44, "end": 71.24, "word": " minus", "probability": 0.849609375}, {"start": 71.24, "end": 71.8, "word": " 10", "probability": 0.9033203125}, {"start": 71.8, "end": 72.86, "word": " diopters.", "probability": 0.8466796875}, {"start": 73.06, "end": 73.34, "word": " Minus", "probability": 0.6956787109375}, {"start": 73.34, "end": 73.68, "word": " 10", "probability": 0.94873046875}, {"start": 73.68, "end": 74.3, "word": " diopters.", "probability": 0.9337565104166666}, {"start": 75.58, "end": 76.18, "word": " How", "probability": 0.56591796875}, {"start": 76.18, "end": 76.56, "word": " much", "probability": 0.515625}, {"start": 76.56, "end": 77.14, "word": " oscillation", "probability": 0.55877685546875}, {"start": 77.14, "end": 77.36, "word": " will", "probability": 0.62548828125}, {"start": 77.36, "end": 77.9, "word": " the", "probability": 0.319091796875}, {"start": 77.9, "end": 78.16, "word": " light", "probability": 0.48046875}, {"start": 78.16, "end": 78.16, "word": " produce?", "probability": 0.50390625}, {"start": 78.26, "end": 78.34, "word": " It", "probability": 0.37109375}, {"start": 78.34, "end": 78.48, "word": " is", "probability": 0.226806640625}, {"start": 78.48, "end": 78.76, "word": " said", "probability": 0.6962890625}, {"start": 78.76, "end": 79.7, "word": " that", "probability": 0.81298828125}, {"start": 79.7, "end": 80.12, "word": " U", "probability": 0.82421875}, {"start": 80.12, "end": 81.0, "word": " plus", "probability": 0.72021484375}, {"start": 81.0, "end": 81.42, "word": " the", "probability": 0.33837890625}, {"start": 81.42, "end": 81.8, "word": " power", "probability": 0.8525390625}, {"start": 81.8, "end": 82.12, "word": " is", "probability": 0.484130859375}, {"start": 82.12, "end": 82.48, "word": " equal", "probability": 0.87548828125}, {"start": 82.48, "end": 82.82, "word": " to", "probability": 0.9638671875}, {"start": 82.82, "end": 83.06, "word": " V.", "probability": 0.96142578125}, {"start": 83.3, "end": 83.48, "word": " V", "probability": 0.875}, {"start": 83.48, "end": 83.72, "word": " is", "probability": 0.87841796875}, {"start": 83.72, "end": 83.74, "word": " the", "probability": 0.880859375}, {"start": 83.74, "end": 84.62, "word": " oscillation", "probability": 0.77093505859375}, {"start": 84.62, "end": 84.62, "word": " factor", "probability": 0.1820068359375}, {"start": 84.62, "end": 84.94, "word": " after", "probability": 0.69970703125}, {"start": 84.94, "end": 85.72, "word": " leaving", "probability": 0.0426025390625}, {"start": 85.72, "end": 86.08, "word": " the", "probability": 0.89794921875}, {"start": 86.08, "end": 86.44, "word": " lens.", "probability": 0.58740234375}, {"start": 86.66, "end": 87.26, "word": " U", "probability": 0.93359375}, {"start": 87.26, "end": 87.64, "word": " minus", "probability": 0.68798828125}, {"start": 87.64, "end": 88.06, "word": " 10", "probability": 0.9111328125}, {"start": 88.06, "end": 88.66, "word": " diopters", "probability": 0.9098307291666666}, {"start": 88.66, "end": 89.08, "word": " plus", "probability": 0.80810546875}, {"start": 89.08, "end": 89.28, "word": " the", "probability": 0.66015625}, {"start": 89.28, "end": 89.56, "word": " power", "probability": 0.8857421875}, {"start": 89.56, "end": 89.9, "word": " 6", "probability": 0.432861328125}, {"start": 89.9, "end": 90.56, "word": " diopters", "probability": 0.9485677083333334}, {"start": 90.56, "end": 91.1, "word": " is", "probability": 0.50244140625}, {"start": 91.1, "end": 91.4, "word": " equal", "probability": 0.88623046875}, {"start": 91.4, "end": 91.5, "word": " to", "probability": 0.96826171875}, {"start": 91.5, "end": 91.74, "word": " V.", "probability": 0.990234375}, {"start": 91.86, "end": 92.12, "word": " So,", "probability": 0.716796875}, {"start": 92.36, "end": 92.58, "word": " V", "probability": 0.98388671875}, {"start": 92.58, "end": 92.88, "word": " is", "probability": 0.7021484375}, {"start": 92.88, "end": 93.18, "word": " equal", "probability": 0.64697265625}, {"start": 93.18, "end": 93.36, "word": " to", "probability": 0.9580078125}, {"start": 93.36, "end": 93.74, "word": " minus", "probability": 0.93603515625}, {"start": 93.74, "end": 94.22, "word": " 4", "probability": 0.923828125}, {"start": 94.22, "end": 94.92, "word": " diopters.", "probability": 0.9573567708333334}], "temperature": 1.0}, {"id": 5, "seek": 9826, "start": 95.92, "end": 98.26, "text": "إذا أضوء، هيخرج مودة شتت", "tokens": [28814, 15730, 5551, 11242, 2407, 38207, 12399, 39896, 34740, 7435, 3714, 2407, 41891, 13412, 2655, 2655], "avg_logprob": -0.5579044117647058, "compression_ratio": 0.8301886792452831, "no_speech_prob": 0.0, "words": [{"start": 95.92, "end": 96.32, "word": "إذا", "probability": 0.55535888671875}, {"start": 96.32, "end": 96.76, "word": " أضوء،", "probability": 0.51728515625}, {"start": 96.76, "end": 97.3, "word": " هيخرج", "probability": 0.7508138020833334}, {"start": 97.3, "end": 97.64, "word": " مودة", "probability": 0.6736653645833334}, {"start": 97.64, "end": 98.26, "word": " شتت", "probability": 0.616943359375}], "temperature": 1.0}, {"id": 6, "seek": 12574, "start": 99.14, "end": 125.74, "text": "It was less than what it entered. It entered with a magnitude of minus 10 and went out with a magnitude of minus 4. But it is not collected, so it is impossible to form a picture, no matter how much we put on the paper or the screen of the screen on which the picture will be placed, because the more the distance increases, the more it moves away from each other. As long as this is the case, we must assume that there is an imaginary picture that has formed. We bring this picture and complete it as if", "tokens": [3522, 390, 1570, 813, 437, 309, 9065, 13, 467, 9065, 365, 257, 15668, 295, 3175, 1266, 293, 1437, 484, 365, 257, 15668, 295, 3175, 1017, 13, 583, 309, 307, 406, 1263, 39963, 11, 370, 309, 307, 6243, 281, 1254, 257, 3036, 11, 572, 1871, 577, 709, 321, 829, 322, 264, 3035, 420, 264, 2568, 295, 264, 2568, 322, 597, 264, 3036, 486, 312, 7074, 11, 570, 264, 544, 264, 4560, 8637, 11, 264, 544, 309, 6067, 1314, 490, 1184, 661, 13, 1018, 938, 382, 341, 307, 264, 1389, 11, 321, 1633, 6552, 300, 456, 307, 364, 26164, 3036, 300, 575, 8693, 13, 492, 1565, 341, 3036, 293, 3566, 309, 382, 498], "avg_logprob": -0.6540178512888295, "compression_ratio": 1.8, "no_speech_prob": 3.874301910400391e-06, "words": [{"start": 99.14, "end": 99.42, "word": "It", "probability": 0.0648193359375}, {"start": 99.42, "end": 99.6, "word": " was", "probability": 0.144287109375}, {"start": 99.6, "end": 99.6, "word": " less", "probability": 0.493896484375}, {"start": 99.6, "end": 100.18, "word": " than", "probability": 0.591796875}, {"start": 100.18, "end": 100.72, "word": " what", "probability": 0.2392578125}, {"start": 100.72, "end": 100.72, "word": " it", "probability": 0.48681640625}, {"start": 100.72, "end": 100.88, "word": " entered.", "probability": 0.265625}, {"start": 101.0, "end": 101.02, "word": " It", "probability": 0.501953125}, {"start": 101.02, "end": 101.22, "word": " entered", "probability": 0.7109375}, {"start": 101.22, "end": 101.38, "word": " with", "probability": 0.140380859375}, {"start": 101.38, "end": 101.48, "word": " a", "probability": 0.2294921875}, {"start": 101.48, "end": 101.68, "word": " magnitude", "probability": 0.35302734375}, {"start": 101.68, "end": 101.82, "word": " of", "probability": 0.6982421875}, {"start": 101.82, "end": 102.1, "word": " minus", "probability": 0.23876953125}, {"start": 102.1, "end": 102.5, "word": " 10", "probability": 0.61376953125}, {"start": 102.5, "end": 102.88, "word": " and", "probability": 0.2161865234375}, {"start": 102.88, "end": 103.1, "word": " went", "probability": 0.2265625}, {"start": 103.1, "end": 103.38, "word": " out", "probability": 0.69189453125}, {"start": 103.38, "end": 103.52, "word": " with", "probability": 0.8544921875}, {"start": 103.52, "end": 103.64, "word": " a", "probability": 0.90625}, {"start": 103.64, "end": 103.92, "word": " magnitude", "probability": 0.93408203125}, {"start": 103.92, "end": 104.1, "word": " of", "probability": 0.9306640625}, {"start": 104.1, "end": 104.42, "word": " minus", "probability": 0.92529296875}, {"start": 104.42, "end": 104.84, "word": " 4.", "probability": 0.96337890625}, {"start": 105.74, "end": 106.14, "word": " But", "probability": 0.67626953125}, {"start": 106.14, "end": 106.36, "word": " it", "probability": 0.7158203125}, {"start": 106.36, "end": 106.42, "word": " is", "probability": 0.62890625}, {"start": 106.42, "end": 106.56, "word": " not", "probability": 0.9130859375}, {"start": 106.56, "end": 107.08, "word": " collected,", "probability": 0.418975830078125}, {"start": 107.2, "end": 107.38, "word": " so", "probability": 0.728515625}, {"start": 107.38, "end": 107.4, "word": " it", "probability": 0.67529296875}, {"start": 107.4, "end": 107.58, "word": " is", "probability": 0.84228515625}, {"start": 107.58, "end": 108.0, "word": " impossible", "probability": 0.7734375}, {"start": 108.0, "end": 108.14, "word": " to", "probability": 0.767578125}, {"start": 108.14, "end": 108.54, "word": " form", "probability": 0.65771484375}, {"start": 108.54, "end": 108.68, "word": " a", "probability": 0.85546875}, {"start": 108.68, "end": 108.88, "word": " picture,", "probability": 0.61669921875}, {"start": 109.02, "end": 109.12, "word": " no", "probability": 0.50390625}, {"start": 109.12, "end": 109.26, "word": " matter", "probability": 0.86328125}, {"start": 109.26, "end": 109.42, "word": " how", "probability": 0.79833984375}, {"start": 109.42, "end": 109.42, "word": " much", "probability": 0.354736328125}, {"start": 109.42, "end": 109.42, "word": " we", "probability": 0.359375}, {"start": 109.42, "end": 109.62, "word": " put", "probability": 0.374755859375}, {"start": 109.62, "end": 109.98, "word": " on", "probability": 0.2080078125}, {"start": 109.98, "end": 110.26, "word": " the", "probability": 0.69677734375}, {"start": 110.26, "end": 110.26, "word": " paper", "probability": 0.323486328125}, {"start": 110.26, "end": 111.5, "word": " or", "probability": 0.454833984375}, {"start": 111.5, "end": 111.74, "word": " the", "probability": 0.451904296875}, {"start": 111.74, "end": 112.02, "word": " screen", "probability": 0.822265625}, {"start": 112.02, "end": 112.18, "word": " of", "probability": 0.12744140625}, {"start": 112.18, "end": 112.22, "word": " the", "probability": 0.830078125}, {"start": 112.22, "end": 112.46, "word": " screen", "probability": 0.7138671875}, {"start": 112.46, "end": 112.64, "word": " on", "probability": 0.417724609375}, {"start": 112.64, "end": 113.38, "word": " which", "probability": 0.9267578125}, {"start": 113.38, "end": 113.46, "word": " the", "probability": 0.5654296875}, {"start": 113.46, "end": 113.66, "word": " picture", "probability": 0.69580078125}, {"start": 113.66, "end": 113.66, "word": " will", "probability": 0.5478515625}, {"start": 113.66, "end": 113.66, "word": " be", "probability": 0.76904296875}, {"start": 113.66, "end": 113.66, "word": " placed,", "probability": 0.200439453125}, {"start": 113.74, "end": 113.92, "word": " because", "probability": 0.86083984375}, {"start": 113.92, "end": 114.1, "word": " the", "probability": 0.426025390625}, {"start": 114.1, "end": 114.48, "word": " more", "probability": 0.5009765625}, {"start": 114.48, "end": 115.06, "word": " the", "probability": 0.2357177734375}, {"start": 115.06, "end": 115.52, "word": " distance", "probability": 0.73486328125}, {"start": 115.52, "end": 115.58, "word": " increases,", "probability": 0.6552734375}, {"start": 115.86, "end": 115.9, "word": " the", "probability": 0.587890625}, {"start": 115.9, "end": 115.9, "word": " more", "probability": 0.355224609375}, {"start": 115.9, "end": 115.9, "word": " it", "probability": 0.2239990234375}, {"start": 115.9, "end": 116.2, "word": " moves", "probability": 0.4384765625}, {"start": 116.2, "end": 116.84, "word": " away", "probability": 0.86279296875}, {"start": 116.84, "end": 117.02, "word": " from", "probability": 0.8623046875}, {"start": 117.02, "end": 117.6, "word": " each", "probability": 0.84619140625}, {"start": 117.6, "end": 117.74, "word": " other.", "probability": 0.89892578125}, {"start": 118.38, "end": 118.78, "word": " As", "probability": 0.5341796875}, {"start": 118.78, "end": 118.8, "word": " long", "probability": 0.67236328125}, {"start": 118.8, "end": 118.9, "word": " as", "probability": 0.9716796875}, {"start": 118.9, "end": 119.14, "word": " this", "probability": 0.250732421875}, {"start": 119.14, "end": 119.34, "word": " is", "probability": 0.72705078125}, {"start": 119.34, "end": 119.34, "word": " the", "probability": 0.64111328125}, {"start": 119.34, "end": 119.34, "word": " case,", "probability": 0.91162109375}, {"start": 119.48, "end": 119.58, "word": " we", "probability": 0.81396484375}, {"start": 119.58, "end": 119.82, "word": " must", "probability": 0.452392578125}, {"start": 119.82, "end": 120.08, "word": " assume", "probability": 0.261474609375}, {"start": 120.08, "end": 120.58, "word": " that", "probability": 0.86572265625}, {"start": 120.58, "end": 120.76, "word": " there", "probability": 0.90380859375}, {"start": 120.76, "end": 120.94, "word": " is", "probability": 0.9345703125}, {"start": 120.94, "end": 121.28, "word": " an", "probability": 0.70849609375}, {"start": 121.28, "end": 121.78, "word": " imaginary", "probability": 0.60595703125}, {"start": 121.78, "end": 121.9, "word": " picture", "probability": 0.4384765625}, {"start": 121.9, "end": 122.06, "word": " that", "probability": 0.7001953125}, {"start": 122.06, "end": 122.08, "word": " has", "probability": 0.292724609375}, {"start": 122.08, "end": 122.42, "word": " formed.", "probability": 0.62255859375}, {"start": 123.02, "end": 123.42, "word": " We", "probability": 0.544921875}, {"start": 123.42, "end": 123.42, "word": " bring", "probability": 0.28271484375}, {"start": 123.42, "end": 123.58, "word": " this", "probability": 0.67578125}, {"start": 123.58, "end": 124.04, "word": " picture", "probability": 0.72607421875}, {"start": 124.04, "end": 124.8, "word": " and", "probability": 0.2294921875}, {"start": 124.8, "end": 125.22, "word": " complete", "probability": 0.51025390625}, {"start": 125.22, "end": 125.36, "word": " it", "probability": 0.91259765625}, {"start": 125.36, "end": 125.44, "word": " as", "probability": 0.7060546875}, {"start": 125.44, "end": 125.74, "word": " if", "probability": 0.8896484375}], "temperature": 1.0}, {"id": 7, "seek": 15535, "start": 126.17, "end": 155.35, "text": " The image is real but it is imaginary V is equal to N divided by I So I is equal to N divided by V Let's swap places And it is equal to N divided by 1 We are in the air over V minus four diopters It is equal to one minus four minus a quarter And the diopter meter square meter means minus twenty-five degrees Here minus means the distance to the left", "tokens": [440, 3256, 307, 957, 457, 309, 307, 26164, 691, 307, 2681, 281, 426, 6666, 538, 286, 407, 286, 307, 2681, 281, 426, 6666, 538, 691, 961, 311, 18135, 3190, 400, 309, 307, 2681, 281, 426, 6666, 538, 502, 492, 366, 294, 264, 1988, 670, 691, 3175, 1451, 1026, 404, 1559, 467, 307, 2681, 281, 472, 3175, 1451, 3175, 257, 6555, 400, 264, 1026, 404, 391, 9255, 3732, 9255, 1355, 3175, 7699, 12, 18621, 5310, 1692, 3175, 1355, 264, 4560, 281, 264, 1411], "avg_logprob": -0.5109186732625387, "compression_ratio": 1.837696335078534, "no_speech_prob": 5.185604095458984e-06, "words": [{"start": 126.17, "end": 126.71, "word": " The", "probability": 0.1251220703125}, {"start": 126.71, "end": 126.91, "word": " image", "probability": 0.2337646484375}, {"start": 126.91, "end": 127.15, "word": " is", "probability": 0.400390625}, {"start": 127.15, "end": 127.47, "word": " real", "probability": 0.2398681640625}, {"start": 127.47, "end": 127.87, "word": " but", "probability": 0.5263671875}, {"start": 127.87, "end": 128.09, "word": " it", "probability": 0.67041015625}, {"start": 128.09, "end": 128.17, "word": " is", "probability": 0.64892578125}, {"start": 128.17, "end": 128.91, "word": " imaginary", "probability": 0.38037109375}, {"start": 128.91, "end": 129.39, "word": " V", "probability": 0.4208984375}, {"start": 129.39, "end": 129.65, "word": " is", "probability": 0.1859130859375}, {"start": 129.65, "end": 129.93, "word": " equal", "probability": 0.8330078125}, {"start": 129.93, "end": 130.03, "word": " to", "probability": 0.958984375}, {"start": 130.03, "end": 130.23, "word": " N", "probability": 0.65478515625}, {"start": 130.23, "end": 130.57, "word": " divided", "probability": 0.08685302734375}, {"start": 130.57, "end": 130.91, "word": " by", "probability": 0.97509765625}, {"start": 130.91, "end": 131.37, "word": " I", "probability": 0.958984375}, {"start": 131.37, "end": 132.49, "word": " So", "probability": 0.419677734375}, {"start": 132.49, "end": 133.27, "word": " I", "probability": 0.72607421875}, {"start": 133.27, "end": 133.71, "word": " is", "probability": 0.849609375}, {"start": 133.71, "end": 134.05, "word": " equal", "probability": 0.9111328125}, {"start": 134.05, "end": 134.15, "word": " to", "probability": 0.9677734375}, {"start": 134.15, "end": 134.41, "word": " N", "probability": 0.970703125}, {"start": 134.41, "end": 134.73, "word": " divided", "probability": 0.7978515625}, {"start": 134.73, "end": 135.09, "word": " by", "probability": 0.95849609375}, {"start": 135.09, "end": 135.45, "word": " V", "probability": 0.98486328125}, {"start": 135.45, "end": 135.81, "word": " Let's", "probability": 0.4771728515625}, {"start": 135.81, "end": 136.13, "word": " swap", "probability": 0.474365234375}, {"start": 136.13, "end": 136.67, "word": " places", "probability": 0.493896484375}, {"start": 136.67, "end": 139.51, "word": " And", "probability": 0.2144775390625}, {"start": 139.51, "end": 139.73, "word": " it", "probability": 0.5830078125}, {"start": 139.73, "end": 139.79, "word": " is", "probability": 0.72998046875}, {"start": 139.79, "end": 140.01, "word": " equal", "probability": 0.9130859375}, {"start": 140.01, "end": 140.09, "word": " to", "probability": 0.9677734375}, {"start": 140.09, "end": 140.29, "word": " N", "probability": 0.896484375}, {"start": 140.29, "end": 140.57, "word": " divided", "probability": 0.8154296875}, {"start": 140.57, "end": 140.69, "word": " by", "probability": 0.9658203125}, {"start": 140.69, "end": 140.99, "word": " 1", "probability": 0.79931640625}, {"start": 140.99, "end": 141.25, "word": " We", "probability": 0.2034912109375}, {"start": 141.25, "end": 141.37, "word": " are", "probability": 0.87060546875}, {"start": 141.37, "end": 141.45, "word": " in", "probability": 0.83837890625}, {"start": 141.45, "end": 141.55, "word": " the", "probability": 0.6875}, {"start": 141.55, "end": 141.73, "word": " air", "probability": 0.763671875}, {"start": 141.73, "end": 141.99, "word": " over", "probability": 0.294189453125}, {"start": 141.99, "end": 142.27, "word": " V", "probability": 0.9208984375}, {"start": 142.27, "end": 142.87, "word": " minus", "probability": 0.6552734375}, {"start": 142.87, "end": 143.43, "word": " four", "probability": 0.369384765625}, {"start": 143.43, "end": 144.23, "word": " diopters", "probability": 0.6599934895833334}, {"start": 144.23, "end": 144.77, "word": " It", "probability": 0.3046875}, {"start": 144.77, "end": 144.93, "word": " is", "probability": 0.72314453125}, {"start": 144.93, "end": 145.23, "word": " equal", "probability": 0.8994140625}, {"start": 145.23, "end": 145.45, "word": " to", "probability": 0.95703125}, {"start": 145.45, "end": 145.75, "word": " one", "probability": 0.58447265625}, {"start": 145.75, "end": 146.23, "word": " minus", "probability": 0.8857421875}, {"start": 146.23, "end": 146.79, "word": " four", "probability": 0.92724609375}, {"start": 146.79, "end": 147.21, "word": " minus", "probability": 0.97216796875}, {"start": 147.21, "end": 147.59, "word": " a", "probability": 0.41796875}, {"start": 147.59, "end": 147.77, "word": " quarter", "probability": 0.86865234375}, {"start": 147.77, "end": 149.13, "word": " And", "probability": 0.4423828125}, {"start": 149.13, "end": 149.21, "word": " the", "probability": 0.6533203125}, {"start": 149.21, "end": 149.57, "word": " diopter", "probability": 0.8352864583333334}, {"start": 149.57, "end": 149.83, "word": " meter", "probability": 0.305419921875}, {"start": 149.83, "end": 150.11, "word": " square", "probability": 0.413818359375}, {"start": 150.11, "end": 150.49, "word": " meter", "probability": 0.703125}, {"start": 150.49, "end": 150.85, "word": " means", "probability": 0.48876953125}, {"start": 150.85, "end": 151.45, "word": " minus", "probability": 0.91162109375}, {"start": 151.45, "end": 152.19, "word": " twenty", "probability": 0.490966796875}, {"start": 152.19, "end": 152.39, "word": "-five", "probability": 0.7353515625}, {"start": 152.39, "end": 152.69, "word": " degrees", "probability": 0.5400390625}, {"start": 152.69, "end": 153.49, "word": " Here", "probability": 0.42626953125}, {"start": 153.49, "end": 153.93, "word": " minus", "probability": 0.366943359375}, {"start": 153.93, "end": 154.25, "word": " means", "probability": 0.7568359375}, {"start": 154.25, "end": 154.45, "word": " the", "probability": 0.6494140625}, {"start": 154.45, "end": 154.79, "word": " distance", "probability": 0.88818359375}, {"start": 154.79, "end": 154.97, "word": " to", "probability": 0.89404296875}, {"start": 154.97, "end": 155.11, "word": " the", "probability": 0.9169921875}, {"start": 155.11, "end": 155.35, "word": " left", "probability": 0.447509765625}], "temperature": 1.0}, {"id": 8, "seek": 17799, "start": 156.65, "end": 177.99, "text": "This is an imaginary image, located to the left of the lens that formed it. It will not be formed, but we will assume that it is formed at a distance of 25 cm, an imaginary image. And we said that the imaginary image is preferred with a dotted horizontal line, with a dotted horizontal line. Now, to summarize the issue", "tokens": [5723, 307, 364, 26164, 3256, 11, 6870, 281, 264, 1411, 295, 264, 6765, 300, 8693, 309, 13, 467, 486, 406, 312, 8693, 11, 457, 321, 486, 6552, 300, 309, 307, 8693, 412, 257, 4560, 295, 3552, 14668, 11, 364, 26164, 3256, 13, 400, 321, 848, 300, 264, 26164, 3256, 307, 16494, 365, 257, 37459, 12750, 1622, 11, 365, 257, 37459, 12750, 1622, 13, 823, 11, 281, 20858, 264, 2734], "avg_logprob": -0.6504464277199337, "compression_ratio": 1.782122905027933, "no_speech_prob": 5.781650543212891e-06, "words": [{"start": 156.65, "end": 157.05, "word": "This", "probability": 0.344482421875}, {"start": 157.05, "end": 157.05, "word": " is", "probability": 0.252197265625}, {"start": 157.05, "end": 157.45, "word": " an", "probability": 0.2479248046875}, {"start": 157.45, "end": 157.85, "word": " imaginary", "probability": 0.5791015625}, {"start": 157.85, "end": 157.99, "word": " image,", "probability": 0.36376953125}, {"start": 158.47, "end": 159.39, "word": " located", "probability": 0.193115234375}, {"start": 159.39, "end": 159.59, "word": " to", "probability": 0.36962890625}, {"start": 159.59, "end": 159.59, "word": " the", "probability": 0.88134765625}, {"start": 159.59, "end": 159.85, "word": " left", "probability": 0.884765625}, {"start": 159.85, "end": 160.05, "word": " of", "probability": 0.88037109375}, {"start": 160.05, "end": 160.09, "word": " the", "probability": 0.84033203125}, {"start": 160.09, "end": 160.41, "word": " lens", "probability": 0.394775390625}, {"start": 160.41, "end": 160.63, "word": " that", "probability": 0.268798828125}, {"start": 160.63, "end": 161.11, "word": " formed", "probability": 0.2607421875}, {"start": 161.11, "end": 161.53, "word": " it.", "probability": 0.89208984375}, {"start": 161.75, "end": 161.89, "word": " It", "probability": 0.51611328125}, {"start": 161.89, "end": 162.11, "word": " will", "probability": 0.423583984375}, {"start": 162.11, "end": 162.45, "word": " not", "probability": 0.8671875}, {"start": 162.45, "end": 162.67, "word": " be", "probability": 0.397216796875}, {"start": 162.67, "end": 162.99, "word": " formed,", "probability": 0.82568359375}, {"start": 163.07, "end": 163.21, "word": " but", "probability": 0.86083984375}, {"start": 163.21, "end": 163.39, "word": " we", "probability": 0.763671875}, {"start": 163.39, "end": 163.55, "word": " will", "probability": 0.716796875}, {"start": 163.55, "end": 163.85, "word": " assume", "probability": 0.8115234375}, {"start": 163.85, "end": 164.01, "word": " that", "probability": 0.89453125}, {"start": 164.01, "end": 164.13, "word": " it", "probability": 0.86767578125}, {"start": 164.13, "end": 164.69, "word": " is", "probability": 0.541015625}, {"start": 164.69, "end": 164.69, "word": " formed", "probability": 0.49169921875}, {"start": 164.69, "end": 165.23, "word": " at", "probability": 0.2044677734375}, {"start": 165.23, "end": 165.55, "word": " a", "probability": 0.74658203125}, {"start": 165.55, "end": 165.55, "word": " distance", "probability": 0.48095703125}, {"start": 165.55, "end": 165.65, "word": " of", "probability": 0.94970703125}, {"start": 165.65, "end": 166.51, "word": " 25", "probability": 0.884765625}, {"start": 166.51, "end": 167.05, "word": " cm,", "probability": 0.5869140625}, {"start": 167.53, "end": 167.73, "word": " an", "probability": 0.470947265625}, {"start": 167.73, "end": 168.85, "word": " imaginary", "probability": 0.85107421875}, {"start": 168.85, "end": 169.03, "word": " image.", "probability": 0.82275390625}, {"start": 169.35, "end": 169.39, "word": " And", "probability": 0.6123046875}, {"start": 169.39, "end": 169.61, "word": " we", "probability": 0.88037109375}, {"start": 169.61, "end": 169.61, "word": " said", "probability": 0.6767578125}, {"start": 169.61, "end": 169.87, "word": " that", "probability": 0.76708984375}, {"start": 169.87, "end": 169.91, "word": " the", "probability": 0.6201171875}, {"start": 169.91, "end": 170.55, "word": " imaginary", "probability": 0.78466796875}, {"start": 170.55, "end": 170.77, "word": " image", "probability": 0.88671875}, {"start": 170.77, "end": 170.93, "word": " is", "probability": 0.24951171875}, {"start": 170.93, "end": 171.37, "word": " preferred", "probability": 0.79052734375}, {"start": 171.37, "end": 171.91, "word": " with", "probability": 0.239501953125}, {"start": 171.91, "end": 172.25, "word": " a", "probability": 0.70849609375}, {"start": 172.25, "end": 172.71, "word": " dotted", "probability": 0.044677734375}, {"start": 172.71, "end": 173.35, "word": " horizontal", "probability": 0.276123046875}, {"start": 173.35, "end": 173.57, "word": " line,", "probability": 0.8857421875}, {"start": 173.61, "end": 173.83, "word": " with", "probability": 0.62109375}, {"start": 173.83, "end": 174.13, "word": " a", "probability": 0.9052734375}, {"start": 174.13, "end": 174.57, "word": " dotted", "probability": 0.94775390625}, {"start": 174.57, "end": 175.53, "word": " horizontal", "probability": 0.80517578125}, {"start": 175.53, "end": 175.59, "word": " line.", "probability": 0.91162109375}, {"start": 175.97, "end": 176.47, "word": " Now,", "probability": 0.955078125}, {"start": 176.97, "end": 177.11, "word": " to", "probability": 0.9541015625}, {"start": 177.11, "end": 177.49, "word": " summarize", "probability": 0.283203125}, {"start": 177.49, "end": 177.69, "word": " the", "probability": 0.857421875}, {"start": 177.69, "end": 177.99, "word": " issue", "probability": 0.323486328125}], "temperature": 1.0}, {"id": 9, "seek": 20536, "start": 179.4, "end": 205.36, "text": " This imaginary image, of course, is 25 cm away from the lens that formed it And we make sure that it is not formed, but we will assume that it is formed Why it is not formed? Because the light is divergent The light will not return to rotate behind the lens that formed the image here Divergent and will remain divergent and hence the name imaginary image that does not exist in the real world", "tokens": [639, 26164, 3256, 11, 295, 1164, 11, 307, 3552, 14668, 1314, 490, 264, 6765, 300, 8693, 309, 400, 321, 652, 988, 300, 309, 307, 406, 8693, 11, 457, 321, 486, 6552, 300, 309, 307, 8693, 1545, 309, 307, 406, 8693, 30, 1436, 264, 1442, 307, 18558, 6930, 440, 1442, 486, 406, 2736, 281, 13121, 2261, 264, 6765, 300, 8693, 264, 3256, 510, 413, 1837, 6930, 293, 486, 6222, 18558, 6930, 293, 16678, 264, 1315, 26164, 3256, 300, 775, 406, 2514, 294, 264, 957, 1002], "avg_logprob": -0.4474264719906975, "compression_ratio": 1.8761904761904762, "no_speech_prob": 1.1146068572998047e-05, "words": [{"start": 179.39999999999998, "end": 179.92, "word": " This", "probability": 0.64404296875}, {"start": 179.92, "end": 180.44, "word": " imaginary", "probability": 0.58056640625}, {"start": 180.44, "end": 180.52, "word": " image,", "probability": 0.68310546875}, {"start": 180.72, "end": 181.26, "word": " of", "probability": 0.439208984375}, {"start": 181.26, "end": 183.0, "word": " course,", "probability": 0.95751953125}, {"start": 183.26, "end": 183.28, "word": " is", "probability": 0.74072265625}, {"start": 183.28, "end": 185.1, "word": " 25", "probability": 0.912109375}, {"start": 185.1, "end": 185.86, "word": " cm", "probability": 0.49755859375}, {"start": 185.86, "end": 185.86, "word": " away", "probability": 0.69921875}, {"start": 185.86, "end": 186.12, "word": " from", "probability": 0.88671875}, {"start": 186.12, "end": 186.24, "word": " the", "probability": 0.87841796875}, {"start": 186.24, "end": 186.6, "word": " lens", "probability": 0.33642578125}, {"start": 186.6, "end": 187.08, "word": " that", "probability": 0.4755859375}, {"start": 187.08, "end": 187.54, "word": " formed", "probability": 0.279052734375}, {"start": 187.54, "end": 187.9, "word": " it", "probability": 0.923828125}, {"start": 187.9, "end": 188.7, "word": " And", "probability": 0.38818359375}, {"start": 188.7, "end": 188.9, "word": " we", "probability": 0.88525390625}, {"start": 188.9, "end": 189.08, "word": " make", "probability": 0.1759033203125}, {"start": 189.08, "end": 189.48, "word": " sure", "probability": 0.89453125}, {"start": 189.48, "end": 189.58, "word": " that", "probability": 0.591796875}, {"start": 189.58, "end": 189.66, "word": " it", "probability": 0.83154296875}, {"start": 189.66, "end": 189.66, "word": " is", "probability": 0.292236328125}, {"start": 189.66, "end": 189.86, "word": " not", "probability": 0.78125}, {"start": 189.86, "end": 190.22, "word": " formed,", "probability": 0.81689453125}, {"start": 190.4, "end": 190.56, "word": " but", "probability": 0.8623046875}, {"start": 190.56, "end": 190.74, "word": " we", "probability": 0.890625}, {"start": 190.74, "end": 190.88, "word": " will", "probability": 0.66455078125}, {"start": 190.88, "end": 191.18, "word": " assume", "probability": 0.626953125}, {"start": 191.18, "end": 191.38, "word": " that", "probability": 0.83935546875}, {"start": 191.38, "end": 191.46, "word": " it", "probability": 0.935546875}, {"start": 191.46, "end": 191.52, "word": " is", "probability": 0.72119140625}, {"start": 191.52, "end": 191.98, "word": " formed", "probability": 0.88232421875}, {"start": 191.98, "end": 192.72, "word": " Why", "probability": 0.56591796875}, {"start": 192.72, "end": 192.84, "word": " it", "probability": 0.25732421875}, {"start": 192.84, "end": 193.0, "word": " is", "probability": 0.58349609375}, {"start": 193.0, "end": 193.0, "word": " not", "probability": 0.935546875}, {"start": 193.0, "end": 193.4, "word": " formed?", "probability": 0.9130859375}, {"start": 193.6, "end": 193.82, "word": " Because", "probability": 0.890625}, {"start": 193.82, "end": 194.0, "word": " the", "probability": 0.44482421875}, {"start": 194.0, "end": 194.12, "word": " light", "probability": 0.8232421875}, {"start": 194.12, "end": 194.22, "word": " is", "probability": 0.58447265625}, {"start": 194.22, "end": 194.84, "word": " divergent", "probability": 0.8115234375}, {"start": 194.84, "end": 195.24, "word": " The", "probability": 0.4775390625}, {"start": 195.24, "end": 195.4, "word": " light", "probability": 0.89208984375}, {"start": 195.4, "end": 195.76, "word": " will", "probability": 0.775390625}, {"start": 195.76, "end": 195.76, "word": " not", "probability": 0.91455078125}, {"start": 195.76, "end": 196.3, "word": " return", "probability": 0.468994140625}, {"start": 196.3, "end": 196.9, "word": " to", "probability": 0.41455078125}, {"start": 196.9, "end": 197.22, "word": " rotate", "probability": 0.271484375}, {"start": 197.22, "end": 197.62, "word": " behind", "probability": 0.6630859375}, {"start": 197.62, "end": 197.76, "word": " the", "probability": 0.85693359375}, {"start": 197.76, "end": 198.0, "word": " lens", "probability": 0.7353515625}, {"start": 198.0, "end": 198.32, "word": " that", "probability": 0.56640625}, {"start": 198.32, "end": 198.7, "word": " formed", "probability": 0.6455078125}, {"start": 198.7, "end": 198.82, "word": " the", "probability": 0.6376953125}, {"start": 198.82, "end": 199.04, "word": " image", "probability": 0.7705078125}, {"start": 199.04, "end": 199.26, "word": " here", "probability": 0.4033203125}, {"start": 199.26, "end": 200.24, "word": " Divergent", "probability": 0.8380533854166666}, {"start": 200.24, "end": 200.38, "word": " and", "probability": 0.4443359375}, {"start": 200.38, "end": 200.52, "word": " will", "probability": 0.65283203125}, {"start": 200.52, "end": 200.8, "word": " remain", "probability": 0.72998046875}, {"start": 200.8, "end": 201.44, "word": " divergent", "probability": 0.94970703125}, {"start": 201.44, "end": 201.58, "word": " and", "probability": 0.439453125}, {"start": 201.58, "end": 201.86, "word": " hence", "probability": 0.38818359375}, {"start": 201.86, "end": 202.02, "word": " the", "probability": 0.5830078125}, {"start": 202.02, "end": 202.02, "word": " name", "probability": 0.448486328125}, {"start": 202.02, "end": 202.66, "word": " imaginary", "probability": 0.457275390625}, {"start": 202.66, "end": 202.82, "word": " image", "probability": 0.86474609375}, {"start": 202.82, "end": 203.1, "word": " that", "probability": 0.43701171875}, {"start": 203.1, "end": 203.28, "word": " does", "probability": 0.591796875}, {"start": 203.28, "end": 203.38, "word": " not", "probability": 0.94189453125}, {"start": 203.38, "end": 203.68, "word": " exist", "probability": 0.85791015625}, {"start": 203.68, "end": 204.06, "word": " in", "probability": 0.9033203125}, {"start": 204.06, "end": 204.98, "word": " the", "probability": 0.591796875}, {"start": 204.98, "end": 205.26, "word": " real", "probability": 0.9267578125}, {"start": 205.26, "end": 205.36, "word": " world", "probability": 0.955078125}], "temperature": 1.0}, {"id": 10, "seek": 22644, "start": 205.64, "end": 226.44, "text": " Ok, why did we assume it? So that we can calculate the divergence from the surface of the second lens Also, why? Because this image is what will be considered as the body of the second lens Before I go to the second lens and its body, which is the image of the first lens, I will start with T M1 equals U over V U minus ten times theta", "tokens": [3477, 11, 983, 630, 321, 6552, 309, 30, 407, 300, 321, 393, 8873, 264, 47387, 490, 264, 3753, 295, 264, 1150, 6765, 2743, 11, 983, 30, 1436, 341, 3256, 307, 437, 486, 312, 4888, 382, 264, 1772, 295, 264, 1150, 6765, 4546, 286, 352, 281, 264, 1150, 6765, 293, 1080, 1772, 11, 597, 307, 264, 3256, 295, 264, 700, 6765, 11, 286, 486, 722, 365, 314, 376, 16, 6915, 624, 670, 691, 624, 3175, 2064, 1413, 9725], "avg_logprob": -0.5600961408553979, "compression_ratio": 1.6390243902439023, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 205.64, "end": 205.96, "word": " Ok,", "probability": 0.14697265625}, {"start": 206.1, "end": 206.36, "word": " why", "probability": 0.74072265625}, {"start": 206.36, "end": 206.46, "word": " did", "probability": 0.56201171875}, {"start": 206.46, "end": 206.62, "word": " we", "probability": 0.9130859375}, {"start": 206.62, "end": 206.92, "word": " assume", "probability": 0.1358642578125}, {"start": 206.92, "end": 207.14, "word": " it?", "probability": 0.5224609375}, {"start": 207.2, "end": 207.34, "word": " So", "probability": 0.257568359375}, {"start": 207.34, "end": 207.5, "word": " that", "probability": 0.73046875}, {"start": 207.5, "end": 207.62, "word": " we", "probability": 0.93798828125}, {"start": 207.62, "end": 207.76, "word": " can", "probability": 0.7666015625}, {"start": 207.76, "end": 208.16, "word": " calculate", "probability": 0.77685546875}, {"start": 208.16, "end": 208.4, "word": " the", "probability": 0.79150390625}, {"start": 208.4, "end": 208.82, "word": " divergence", "probability": 0.76123046875}, {"start": 208.82, "end": 209.1, "word": " from", "probability": 0.1513671875}, {"start": 209.1, "end": 209.24, "word": " the", "probability": 0.7724609375}, {"start": 209.24, "end": 209.38, "word": " surface", "probability": 0.4208984375}, {"start": 209.38, "end": 209.52, "word": " of", "probability": 0.951171875}, {"start": 209.52, "end": 209.56, "word": " the", "probability": 0.798828125}, {"start": 209.56, "end": 210.26, "word": " second", "probability": 0.455810546875}, {"start": 210.26, "end": 210.26, "word": " lens", "probability": 0.7197265625}, {"start": 210.26, "end": 211.16, "word": " Also,", "probability": 0.355224609375}, {"start": 211.36, "end": 211.62, "word": " why?", "probability": 0.5283203125}, {"start": 211.72, "end": 212.02, "word": " Because", "probability": 0.8544921875}, {"start": 212.02, "end": 212.5, "word": " this", "probability": 0.86328125}, {"start": 212.5, "end": 212.82, "word": " image", "probability": 0.3935546875}, {"start": 212.82, "end": 213.08, "word": " is", "probability": 0.67724609375}, {"start": 213.08, "end": 213.18, "word": " what", "probability": 0.5537109375}, {"start": 213.18, "end": 213.3, "word": " will", "probability": 0.449462890625}, {"start": 213.3, "end": 213.58, "word": " be", "probability": 0.87548828125}, {"start": 213.58, "end": 213.96, "word": " considered", "probability": 0.63232421875}, {"start": 213.96, "end": 214.1, "word": " as", "probability": 0.384033203125}, {"start": 214.1, "end": 214.16, "word": " the", "probability": 0.74462890625}, {"start": 214.16, "end": 214.4, "word": " body", "probability": 0.47412109375}, {"start": 214.4, "end": 214.54, "word": " of", "probability": 0.951171875}, {"start": 214.54, "end": 214.64, "word": " the", "probability": 0.8701171875}, {"start": 214.64, "end": 215.8, "word": " second", "probability": 0.78759765625}, {"start": 215.8, "end": 215.8, "word": " lens", "probability": 0.87158203125}, {"start": 215.8, "end": 216.52, "word": " Before", "probability": 0.8017578125}, {"start": 216.52, "end": 216.86, "word": " I", "probability": 0.464599609375}, {"start": 216.86, "end": 217.16, "word": " go", "probability": 0.078369140625}, {"start": 217.16, "end": 217.3, "word": " to", "probability": 0.5908203125}, {"start": 217.3, "end": 217.46, "word": " the", "probability": 0.833984375}, {"start": 217.46, "end": 217.46, "word": " second", "probability": 0.7958984375}, {"start": 217.46, "end": 218.1, "word": " lens", "probability": 0.90673828125}, {"start": 218.1, "end": 218.32, "word": " and", "probability": 0.68017578125}, {"start": 218.32, "end": 218.44, "word": " its", "probability": 0.61767578125}, {"start": 218.44, "end": 218.76, "word": " body,", "probability": 0.77734375}, {"start": 219.18, "end": 219.26, "word": " which", "probability": 0.8212890625}, {"start": 219.26, "end": 219.38, "word": " is", "probability": 0.9326171875}, {"start": 219.38, "end": 219.46, "word": " the", "probability": 0.84130859375}, {"start": 219.46, "end": 219.58, "word": " image", "probability": 0.57177734375}, {"start": 219.58, "end": 219.7, "word": " of", "probability": 0.962890625}, {"start": 219.7, "end": 219.8, "word": " the", "probability": 0.908203125}, {"start": 219.8, "end": 219.92, "word": " first", "probability": 0.80029296875}, {"start": 219.92, "end": 220.08, "word": " lens,", "probability": 0.89599609375}, {"start": 220.52, "end": 220.58, "word": " I", "probability": 0.93359375}, {"start": 220.58, "end": 220.58, "word": " will", "probability": 0.29150390625}, {"start": 220.58, "end": 220.76, "word": " start", "probability": 0.405517578125}, {"start": 220.76, "end": 220.94, "word": " with", "probability": 0.69091796875}, {"start": 220.94, "end": 221.26, "word": " T", "probability": 0.52294921875}, {"start": 221.26, "end": 221.92, "word": " M1", "probability": 0.4246826171875}, {"start": 221.92, "end": 222.74, "word": " equals", "probability": 0.1514892578125}, {"start": 222.74, "end": 223.28, "word": " U", "probability": 0.72509765625}, {"start": 223.28, "end": 223.66, "word": " over", "probability": 0.39306640625}, {"start": 223.66, "end": 224.04, "word": " V", "probability": 0.833984375}, {"start": 224.04, "end": 225.0, "word": " U", "probability": 0.64501953125}, {"start": 225.0, "end": 225.56, "word": " minus", "probability": 0.935546875}, {"start": 225.56, "end": 225.9, "word": " ten", "probability": 0.366943359375}, {"start": 225.9, "end": 226.1, "word": " times", "probability": 0.338623046875}, {"start": 226.1, "end": 226.44, "word": " theta", "probability": 0.1246337890625}], "temperature": 1.0}, {"id": 11, "seek": 25286, "start": 228.18, "end": 252.86, "text": "over V minus 4 degrees It is equal to X because we are talking about magnification Minus over minus plus and ten over four which is two and a half So the picture is regular not upside down and twice and a half larger than the object So if the object is ten centimeters high, it is twenty-five centimeters high Now I will finish our work with the first lens", "tokens": [3570, 691, 3175, 1017, 5310, 467, 307, 2681, 281, 1783, 570, 321, 366, 1417, 466, 4944, 3774, 2829, 301, 670, 3175, 1804, 293, 2064, 670, 1451, 597, 307, 732, 293, 257, 1922, 407, 264, 3036, 307, 3890, 406, 14119, 760, 293, 6091, 293, 257, 1922, 4833, 813, 264, 2657, 407, 498, 264, 2657, 307, 2064, 23300, 1090, 11, 309, 307, 7699, 12, 18621, 23300, 1090, 823, 286, 486, 2413, 527, 589, 365, 264, 700, 6765], "avg_logprob": -0.5201480302371477, "compression_ratio": 1.640552995391705, "no_speech_prob": 6.735324859619141e-06, "words": [{"start": 228.18, "end": 228.5, "word": "over", "probability": 0.057647705078125}, {"start": 228.5, "end": 229.22, "word": " V", "probability": 0.186767578125}, {"start": 229.22, "end": 230.32, "word": " minus", "probability": 0.60205078125}, {"start": 230.32, "end": 231.0, "word": " 4", "probability": 0.54833984375}, {"start": 231.0, "end": 231.56, "word": " degrees", "probability": 0.384765625}, {"start": 231.56, "end": 233.1, "word": " It", "probability": 0.1864013671875}, {"start": 233.1, "end": 233.26, "word": " is", "probability": 0.463623046875}, {"start": 233.26, "end": 233.5, "word": " equal", "probability": 0.669921875}, {"start": 233.5, "end": 233.64, "word": " to", "probability": 0.9404296875}, {"start": 233.64, "end": 233.96, "word": " X", "probability": 0.814453125}, {"start": 233.96, "end": 234.12, "word": " because", "probability": 0.5595703125}, {"start": 234.12, "end": 234.3, "word": " we", "probability": 0.7177734375}, {"start": 234.3, "end": 234.36, "word": " are", "probability": 0.6767578125}, {"start": 234.36, "end": 234.52, "word": " talking", "probability": 0.77685546875}, {"start": 234.52, "end": 234.72, "word": " about", "probability": 0.8974609375}, {"start": 234.72, "end": 235.28, "word": " magnification", "probability": 0.828369140625}, {"start": 235.28, "end": 236.2, "word": " Minus", "probability": 0.6739501953125}, {"start": 236.2, "end": 236.34, "word": " over", "probability": 0.33203125}, {"start": 236.34, "end": 236.6, "word": " minus", "probability": 0.96240234375}, {"start": 236.6, "end": 237.14, "word": " plus", "probability": 0.62158203125}, {"start": 237.14, "end": 237.64, "word": " and", "probability": 0.6103515625}, {"start": 237.64, "end": 237.92, "word": " ten", "probability": 0.5859375}, {"start": 237.92, "end": 238.18, "word": " over", "probability": 0.90234375}, {"start": 238.18, "end": 238.56, "word": " four", "probability": 0.90576171875}, {"start": 238.56, "end": 238.82, "word": " which", "probability": 0.252685546875}, {"start": 238.82, "end": 238.84, "word": " is", "probability": 0.5439453125}, {"start": 238.84, "end": 239.22, "word": " two", "probability": 0.84716796875}, {"start": 239.22, "end": 239.68, "word": " and", "probability": 0.83740234375}, {"start": 239.68, "end": 239.86, "word": " a", "probability": 0.8759765625}, {"start": 239.86, "end": 239.92, "word": " half", "probability": 0.861328125}, {"start": 239.92, "end": 240.32, "word": " So", "probability": 0.51123046875}, {"start": 240.32, "end": 240.62, "word": " the", "probability": 0.63134765625}, {"start": 240.62, "end": 240.9, "word": " picture", "probability": 0.477294921875}, {"start": 240.9, "end": 242.18, "word": " is", "probability": 0.80810546875}, {"start": 242.18, "end": 242.62, "word": " regular", "probability": 0.052398681640625}, {"start": 242.62, "end": 243.26, "word": " not", "probability": 0.31787109375}, {"start": 243.26, "end": 243.56, "word": " upside", "probability": 0.1678466796875}, {"start": 243.56, "end": 244.4, "word": " down", "probability": 0.8310546875}, {"start": 244.4, "end": 244.52, "word": " and", "probability": 0.431884765625}, {"start": 244.52, "end": 244.9, "word": " twice", "probability": 0.5244140625}, {"start": 244.9, "end": 245.26, "word": " and", "probability": 0.74267578125}, {"start": 245.26, "end": 245.38, "word": " a", "probability": 0.84619140625}, {"start": 245.38, "end": 245.48, "word": " half", "probability": 0.87890625}, {"start": 245.48, "end": 245.86, "word": " larger", "probability": 0.3779296875}, {"start": 245.86, "end": 246.06, "word": " than", "probability": 0.93310546875}, {"start": 246.06, "end": 246.2, "word": " the", "probability": 0.90380859375}, {"start": 246.2, "end": 246.5, "word": " object", "probability": 0.96484375}, {"start": 246.5, "end": 246.72, "word": " So", "probability": 0.3525390625}, {"start": 246.72, "end": 246.9, "word": " if", "probability": 0.83447265625}, {"start": 246.9, "end": 247.02, "word": " the", "probability": 0.87890625}, {"start": 247.02, "end": 247.28, "word": " object", "probability": 0.96728515625}, {"start": 247.28, "end": 247.48, "word": " is", "probability": 0.76416015625}, {"start": 247.48, "end": 248.08, "word": " ten", "probability": 0.310302734375}, {"start": 248.08, "end": 248.54, "word": " centimeters", "probability": 0.59521484375}, {"start": 248.54, "end": 248.54, "word": " high,", "probability": 0.6123046875}, {"start": 248.6, "end": 248.74, "word": " it", "probability": 0.72265625}, {"start": 248.74, "end": 248.76, "word": " is", "probability": 0.78662109375}, {"start": 248.76, "end": 249.44, "word": " twenty", "probability": 0.67431640625}, {"start": 249.44, "end": 250.08, "word": "-five", "probability": 0.813720703125}, {"start": 250.08, "end": 250.66, "word": " centimeters", "probability": 0.8759765625}, {"start": 250.66, "end": 250.66, "word": " high", "probability": 0.84521484375}, {"start": 250.66, "end": 251.48, "word": " Now", "probability": 0.87841796875}, {"start": 251.48, "end": 251.82, "word": " I", "probability": 0.41943359375}, {"start": 251.82, "end": 251.84, "word": " will", "probability": 0.6494140625}, {"start": 251.84, "end": 251.84, "word": " finish", "probability": 0.413818359375}, {"start": 251.84, "end": 252.18, "word": " our", "probability": 0.364013671875}, {"start": 252.18, "end": 252.18, "word": " work", "probability": 0.77490234375}, {"start": 252.18, "end": 252.44, "word": " with", "probability": 0.8017578125}, {"start": 252.44, "end": 252.58, "word": " the", "probability": 0.90576171875}, {"start": 252.58, "end": 252.58, "word": " first", "probability": 0.85595703125}, {"start": 252.58, "end": 252.86, "word": " lens", "probability": 0.74609375}], "temperature": 1.0}, {"id": 12, "seek": 27783, "start": 253.83, "end": 277.83, "text": " Now we are supposed to cover the first object and the first lens and pay attention to the second object, which is the picture of the first lens with the second lens. This is the object of the second lens. To fix the problem, now we will draw the second lens in a different color, which is red. And here too, I will make sure that the two colors remain.", "tokens": [823, 321, 366, 3442, 281, 2060, 264, 700, 2657, 293, 264, 700, 6765, 293, 1689, 3202, 281, 264, 1150, 2657, 11, 597, 307, 264, 3036, 295, 264, 700, 6765, 365, 264, 1150, 6765, 13, 639, 307, 264, 2657, 295, 264, 1150, 6765, 13, 1407, 3191, 264, 1154, 11, 586, 321, 486, 2642, 264, 1150, 6765, 294, 257, 819, 2017, 11, 597, 307, 2182, 13, 400, 510, 886, 11, 286, 486, 652, 988, 300, 264, 732, 4577, 6222, 13], "avg_logprob": -0.3463211897053296, "compression_ratio": 1.8578947368421053, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 253.83, "end": 254.19, "word": " Now", "probability": 0.70166015625}, {"start": 254.19, "end": 254.35, "word": " we", "probability": 0.6142578125}, {"start": 254.35, "end": 254.57, "word": " are", "probability": 0.31884765625}, {"start": 254.57, "end": 254.57, "word": " supposed", "probability": 0.71435546875}, {"start": 254.57, "end": 254.83, "word": " to", "probability": 0.96923828125}, {"start": 254.83, "end": 255.21, "word": " cover", "probability": 0.80029296875}, {"start": 255.21, "end": 255.37, "word": " the", "probability": 0.791015625}, {"start": 255.37, "end": 255.55, "word": " first", "probability": 0.7626953125}, {"start": 255.55, "end": 255.77, "word": " object", "probability": 0.7998046875}, {"start": 255.77, "end": 256.39, "word": " and", "probability": 0.472900390625}, {"start": 256.39, "end": 256.43, "word": " the", "probability": 0.60400390625}, {"start": 256.43, "end": 257.11, "word": " first", "probability": 0.83935546875}, {"start": 257.11, "end": 257.11, "word": " lens", "probability": 0.79296875}, {"start": 257.11, "end": 257.55, "word": " and", "probability": 0.51416015625}, {"start": 257.55, "end": 257.81, "word": " pay", "probability": 0.280029296875}, {"start": 257.81, "end": 257.91, "word": " attention", "probability": 0.9501953125}, {"start": 257.91, "end": 258.07, "word": " to", "probability": 0.9638671875}, {"start": 258.07, "end": 258.21, "word": " the", "probability": 0.90869140625}, {"start": 258.21, "end": 258.21, "word": " second", "probability": 0.77880859375}, {"start": 258.21, "end": 258.71, "word": " object,", "probability": 0.95751953125}, {"start": 259.25, "end": 259.27, "word": " which", "probability": 0.84228515625}, {"start": 259.27, "end": 259.43, "word": " is", "probability": 0.9326171875}, {"start": 259.43, "end": 259.49, "word": " the", "probability": 0.82763671875}, {"start": 259.49, "end": 259.59, "word": " picture", "probability": 0.36083984375}, {"start": 259.59, "end": 259.73, "word": " of", "probability": 0.958984375}, {"start": 259.73, "end": 259.81, "word": " the", "probability": 0.92138671875}, {"start": 259.81, "end": 259.85, "word": " first", "probability": 0.85693359375}, {"start": 259.85, "end": 260.31, "word": " lens", "probability": 0.8896484375}, {"start": 260.31, "end": 260.67, "word": " with", "probability": 0.74560546875}, {"start": 260.67, "end": 260.79, "word": " the", "probability": 0.90625}, {"start": 260.79, "end": 261.27, "word": " second", "probability": 0.861328125}, {"start": 261.27, "end": 261.29, "word": " lens.", "probability": 0.916015625}, {"start": 261.39, "end": 261.61, "word": " This", "probability": 0.8017578125}, {"start": 261.61, "end": 261.71, "word": " is", "probability": 0.85498046875}, {"start": 261.71, "end": 261.75, "word": " the", "probability": 0.9111328125}, {"start": 261.75, "end": 262.11, "word": " object", "probability": 0.93115234375}, {"start": 262.11, "end": 262.37, "word": " of", "probability": 0.95166015625}, {"start": 262.37, "end": 262.49, "word": " the", "probability": 0.908203125}, {"start": 262.49, "end": 263.17, "word": " second", "probability": 0.84228515625}, {"start": 263.17, "end": 263.17, "word": " lens.", "probability": 0.9130859375}, {"start": 263.61, "end": 263.71, "word": " To", "probability": 0.87939453125}, {"start": 263.71, "end": 264.03, "word": " fix", "probability": 0.2142333984375}, {"start": 264.03, "end": 264.25, "word": " the", "probability": 0.61328125}, {"start": 264.25, "end": 264.61, "word": " problem,", "probability": 0.58203125}, {"start": 265.25, "end": 265.49, "word": " now", "probability": 0.57861328125}, {"start": 265.49, "end": 266.43, "word": " we", "probability": 0.8916015625}, {"start": 266.43, "end": 266.61, "word": " will", "probability": 0.6884765625}, {"start": 266.61, "end": 266.91, "word": " draw", "probability": 0.420654296875}, {"start": 266.91, "end": 266.95, "word": " the", "probability": 0.88232421875}, {"start": 266.95, "end": 266.95, "word": " second", "probability": 0.8564453125}, {"start": 266.95, "end": 266.95, "word": " lens", "probability": 0.9130859375}, {"start": 266.95, "end": 267.15, "word": " in", "probability": 0.71630859375}, {"start": 267.15, "end": 268.29, "word": " a", "probability": 0.82958984375}, {"start": 268.29, "end": 268.77, "word": " different", "probability": 0.89599609375}, {"start": 268.77, "end": 268.77, "word": " color,", "probability": 0.82080078125}, {"start": 269.83, "end": 269.83, "word": " which", "probability": 0.363037109375}, {"start": 269.83, "end": 272.21, "word": " is", "probability": 0.93994140625}, {"start": 272.21, "end": 272.75, "word": " red.", "probability": 0.6474609375}, {"start": 273.79, "end": 274.01, "word": " And", "probability": 0.77880859375}, {"start": 274.01, "end": 274.23, "word": " here", "probability": 0.83154296875}, {"start": 274.23, "end": 274.83, "word": " too,", "probability": 0.481201171875}, {"start": 275.91, "end": 276.13, "word": " I", "probability": 0.9853515625}, {"start": 276.13, "end": 276.31, "word": " will", "probability": 0.8427734375}, {"start": 276.31, "end": 276.57, "word": " make", "probability": 0.78271484375}, {"start": 276.57, "end": 276.67, "word": " sure", "probability": 0.91650390625}, {"start": 276.67, "end": 276.99, "word": " that", "probability": 0.921875}, {"start": 276.99, "end": 277.11, "word": " the", "probability": 0.51904296875}, {"start": 277.11, "end": 277.41, "word": " two", "probability": 0.8134765625}, {"start": 277.41, "end": 277.41, "word": " colors", "probability": 0.8798828125}, {"start": 277.41, "end": 277.83, "word": " remain.", "probability": 0.65234375}], "temperature": 1.0}, {"id": 13, "seek": 31008, "start": 281.24, "end": 310.08, "text": "Why are the two colors still there? The black one is to indicate that this is the shape of the black lens And the red one is the object of the red lens And I will also solve it with the red color But before we start, let's say that this object is 25 cm away from the first lens And the distance between the two lenses is 15 cm So the distance between object number 2 which is number 1 And the lens number 2, this distance", "tokens": [8429, 366, 264, 732, 4577, 920, 456, 30, 440, 2211, 472, 307, 281, 13330, 300, 341, 307, 264, 3909, 295, 264, 2211, 6765, 400, 264, 2182, 472, 307, 264, 2657, 295, 264, 2182, 6765, 400, 286, 486, 611, 5039, 309, 365, 264, 2182, 2017, 583, 949, 321, 722, 11, 718, 311, 584, 300, 341, 2657, 307, 3552, 14668, 1314, 490, 264, 700, 6765, 400, 264, 4560, 1296, 264, 732, 18059, 307, 2119, 14668, 407, 264, 4560, 1296, 2657, 1230, 568, 597, 307, 1230, 502, 400, 264, 6765, 1230, 568, 11, 341, 4560], "avg_logprob": -0.46538979007351783, "compression_ratio": 1.8878923766816142, "no_speech_prob": 2.205371856689453e-06, "words": [{"start": 281.24, "end": 281.62, "word": "Why", "probability": 0.36083984375}, {"start": 281.62, "end": 281.72, "word": " are", "probability": 0.146484375}, {"start": 281.72, "end": 282.02, "word": " the", "probability": 0.2412109375}, {"start": 282.02, "end": 282.02, "word": " two", "probability": 0.74169921875}, {"start": 282.02, "end": 282.02, "word": " colors", "probability": 0.70654296875}, {"start": 282.02, "end": 282.36, "word": " still", "probability": 0.51904296875}, {"start": 282.36, "end": 282.62, "word": " there?", "probability": 0.447998046875}, {"start": 282.8, "end": 282.92, "word": " The", "probability": 0.437744140625}, {"start": 282.92, "end": 283.34, "word": " black", "probability": 0.83203125}, {"start": 283.34, "end": 283.46, "word": " one", "probability": 0.1904296875}, {"start": 283.46, "end": 283.68, "word": " is", "probability": 0.459228515625}, {"start": 283.68, "end": 283.68, "word": " to", "probability": 0.453125}, {"start": 283.68, "end": 284.08, "word": " indicate", "probability": 0.295654296875}, {"start": 284.08, "end": 284.2, "word": " that", "probability": 0.544921875}, {"start": 284.2, "end": 284.46, "word": " this", "probability": 0.67529296875}, {"start": 284.46, "end": 284.46, "word": " is", "probability": 0.8623046875}, {"start": 284.46, "end": 284.56, "word": " the", "probability": 0.873046875}, {"start": 284.56, "end": 284.7, "word": " shape", "probability": 0.55224609375}, {"start": 284.7, "end": 284.82, "word": " of", "probability": 0.96923828125}, {"start": 284.82, "end": 284.88, "word": " the", "probability": 0.89306640625}, {"start": 284.88, "end": 285.56, "word": " black", "probability": 0.80322265625}, {"start": 285.56, "end": 285.56, "word": " lens", "probability": 0.77490234375}, {"start": 285.56, "end": 286.56, "word": " And", "probability": 0.388427734375}, {"start": 286.56, "end": 286.8, "word": " the", "probability": 0.69384765625}, {"start": 286.8, "end": 287.0, "word": " red", "probability": 0.92919921875}, {"start": 287.0, "end": 287.2, "word": " one", "probability": 0.541015625}, {"start": 287.2, "end": 287.42, "word": " is", "probability": 0.52783203125}, {"start": 287.42, "end": 287.62, "word": " the", "probability": 0.7568359375}, {"start": 287.62, "end": 288.04, "word": " object", "probability": 0.8388671875}, {"start": 288.04, "end": 288.34, "word": " of", "probability": 0.9482421875}, {"start": 288.34, "end": 289.16, "word": " the", "probability": 0.90283203125}, {"start": 289.16, "end": 289.66, "word": " red", "probability": 0.92919921875}, {"start": 289.66, "end": 289.66, "word": " lens", "probability": 0.90966796875}, {"start": 289.66, "end": 289.94, "word": " And", "probability": 0.19580078125}, {"start": 289.94, "end": 290.14, "word": " I", "probability": 0.2186279296875}, {"start": 290.14, "end": 290.14, "word": " will", "probability": 0.75341796875}, {"start": 290.14, "end": 290.16, "word": " also", "probability": 0.496826171875}, {"start": 290.16, "end": 290.32, "word": " solve", "probability": 0.52490234375}, {"start": 290.32, "end": 290.76, "word": " it", "probability": 0.3603515625}, {"start": 290.76, "end": 290.9, "word": " with", "probability": 0.68701171875}, {"start": 290.9, "end": 290.98, "word": " the", "probability": 0.833984375}, {"start": 290.98, "end": 291.52, "word": " red", "probability": 0.8984375}, {"start": 291.52, "end": 291.56, "word": " color", "probability": 0.7578125}, {"start": 291.56, "end": 292.3, "word": " But", "probability": 0.8212890625}, {"start": 292.3, "end": 292.66, "word": " before", "probability": 0.81982421875}, {"start": 292.66, "end": 293.0, "word": " we", "probability": 0.5771484375}, {"start": 293.0, "end": 293.3, "word": " start,", "probability": 0.284912109375}, {"start": 293.36, "end": 293.46, "word": " let's", "probability": 0.55859375}, {"start": 293.46, "end": 293.64, "word": " say", "probability": 0.8779296875}, {"start": 293.64, "end": 293.78, "word": " that", "probability": 0.5810546875}, {"start": 293.78, "end": 294.06, "word": " this", "probability": 0.8955078125}, {"start": 294.06, "end": 294.72, "word": " object", "probability": 0.9716796875}, {"start": 294.72, "end": 294.92, "word": " is", "probability": 0.873046875}, {"start": 294.92, "end": 295.98, "word": " 25", "probability": 0.92236328125}, {"start": 295.98, "end": 296.6, "word": " cm", "probability": 0.55859375}, {"start": 296.6, "end": 296.6, "word": " away", "probability": 0.7255859375}, {"start": 296.6, "end": 297.64, "word": " from", "probability": 0.76171875}, {"start": 297.64, "end": 297.9, "word": " the", "probability": 0.90966796875}, {"start": 297.9, "end": 298.54, "word": " first", "probability": 0.7890625}, {"start": 298.54, "end": 298.54, "word": " lens", "probability": 0.88134765625}, {"start": 298.54, "end": 299.32, "word": " And", "probability": 0.5595703125}, {"start": 299.32, "end": 299.46, "word": " the", "probability": 0.912109375}, {"start": 299.46, "end": 299.84, "word": " distance", "probability": 0.93017578125}, {"start": 299.84, "end": 300.14, "word": " between", "probability": 0.85986328125}, {"start": 300.14, "end": 300.24, "word": " the", "probability": 0.6982421875}, {"start": 300.24, "end": 300.76, "word": " two", "probability": 0.84521484375}, {"start": 300.76, "end": 300.76, "word": " lenses", "probability": 0.9130859375}, {"start": 300.76, "end": 300.86, "word": " is", "probability": 0.927734375}, {"start": 300.86, "end": 301.26, "word": " 15", "probability": 0.9560546875}, {"start": 301.26, "end": 301.96, "word": " cm", "probability": 0.900390625}, {"start": 301.96, "end": 302.22, "word": " So", "probability": 0.525390625}, {"start": 302.22, "end": 302.42, "word": " the", "probability": 0.7724609375}, {"start": 302.42, "end": 302.84, "word": " distance", "probability": 0.9375}, {"start": 302.84, "end": 303.48, "word": " between", "probability": 0.86865234375}, {"start": 303.48, "end": 304.24, "word": " object", "probability": 0.5947265625}, {"start": 304.24, "end": 305.32, "word": " number", "probability": 0.51025390625}, {"start": 305.32, "end": 305.92, "word": " 2", "probability": 0.6533203125}, {"start": 305.92, "end": 306.22, "word": " which", "probability": 0.312744140625}, {"start": 306.22, "end": 306.4, "word": " is", "probability": 0.78173828125}, {"start": 306.4, "end": 306.64, "word": " number", "probability": 0.261474609375}, {"start": 306.64, "end": 307.32, "word": " 1", "probability": 0.8212890625}, {"start": 307.32, "end": 307.74, "word": " And", "probability": 0.379150390625}, {"start": 307.74, "end": 307.88, "word": " the", "probability": 0.60595703125}, {"start": 307.88, "end": 308.18, "word": " lens", "probability": 0.46533203125}, {"start": 308.18, "end": 308.48, "word": " number", "probability": 0.90673828125}, {"start": 308.48, "end": 309.0, "word": " 2,", "probability": 0.93994140625}, {"start": 309.26, "end": 309.5, "word": " this", "probability": 0.81884765625}, {"start": 309.5, "end": 310.08, "word": " distance", "probability": 0.9267578125}], "temperature": 1.0}, {"id": 14, "seek": 33124, "start": 310.46, "end": 331.24, "text": "25 plus 15 is equal to 2 which is equal to 25 cm plus 15 cm which is equal to 40 cm So the distance of the object of this mirror which is the shape of this mirror is 40 cm away from it Now we continue, we continue, but we will continue with the black color", "tokens": [6074, 1804, 2119, 307, 2681, 281, 568, 597, 307, 2681, 281, 3552, 14668, 1804, 2119, 14668, 597, 307, 2681, 281, 3356, 14668, 407, 264, 4560, 295, 264, 2657, 295, 341, 8013, 597, 307, 264, 3909, 295, 341, 8013, 307, 3356, 14668, 1314, 490, 309, 823, 321, 2354, 11, 321, 2354, 11, 457, 321, 486, 2354, 365, 264, 2211, 2017], "avg_logprob": -0.4604166805744171, "compression_ratio": 1.7902097902097902, "no_speech_prob": 1.6093254089355469e-06, "words": [{"start": 310.46, "end": 311.0, "word": "25", "probability": 0.59423828125}, {"start": 311.0, "end": 311.7, "word": " plus", "probability": 0.0858154296875}, {"start": 311.7, "end": 312.64, "word": " 15", "probability": 0.97021484375}, {"start": 312.64, "end": 312.74, "word": " is", "probability": 0.1326904296875}, {"start": 312.74, "end": 312.78, "word": " equal", "probability": 0.52197265625}, {"start": 312.78, "end": 313.64, "word": " to", "probability": 0.9677734375}, {"start": 313.64, "end": 314.1, "word": " 2", "probability": 0.56689453125}, {"start": 314.1, "end": 314.38, "word": " which", "probability": 0.333251953125}, {"start": 314.38, "end": 314.66, "word": " is", "probability": 0.7021484375}, {"start": 314.66, "end": 314.72, "word": " equal", "probability": 0.392333984375}, {"start": 314.72, "end": 314.8, "word": " to", "probability": 0.93896484375}, {"start": 314.8, "end": 315.18, "word": " 25", "probability": 0.9521484375}, {"start": 315.18, "end": 316.12, "word": " cm", "probability": 0.307861328125}, {"start": 316.12, "end": 316.56, "word": " plus", "probability": 0.91748046875}, {"start": 316.56, "end": 317.38, "word": " 15", "probability": 0.9736328125}, {"start": 317.38, "end": 318.1, "word": " cm", "probability": 0.89111328125}, {"start": 318.1, "end": 318.76, "word": " which", "probability": 0.6328125}, {"start": 318.76, "end": 318.96, "word": " is", "probability": 0.8564453125}, {"start": 318.96, "end": 319.18, "word": " equal", "probability": 0.9033203125}, {"start": 319.18, "end": 319.26, "word": " to", "probability": 0.97265625}, {"start": 319.26, "end": 319.82, "word": " 40", "probability": 0.97607421875}, {"start": 319.82, "end": 320.46, "word": " cm", "probability": 0.8974609375}, {"start": 320.46, "end": 320.82, "word": " So", "probability": 0.328125}, {"start": 320.82, "end": 321.54, "word": " the", "probability": 0.62744140625}, {"start": 321.54, "end": 321.7, "word": " distance", "probability": 0.39208984375}, {"start": 321.7, "end": 321.94, "word": " of", "probability": 0.2822265625}, {"start": 321.94, "end": 321.94, "word": " the", "probability": 0.60498046875}, {"start": 321.94, "end": 322.3, "word": " object", "probability": 0.80712890625}, {"start": 322.3, "end": 322.68, "word": " of", "probability": 0.363037109375}, {"start": 322.68, "end": 322.8, "word": " this", "probability": 0.76318359375}, {"start": 322.8, "end": 323.2, "word": " mirror", "probability": 0.1644287109375}, {"start": 323.2, "end": 323.68, "word": " which", "probability": 0.6357421875}, {"start": 323.68, "end": 323.84, "word": " is", "probability": 0.92626953125}, {"start": 323.84, "end": 323.92, "word": " the", "probability": 0.79833984375}, {"start": 323.92, "end": 324.04, "word": " shape", "probability": 0.1661376953125}, {"start": 324.04, "end": 324.18, "word": " of", "probability": 0.966796875}, {"start": 324.18, "end": 324.26, "word": " this", "probability": 0.77490234375}, {"start": 324.26, "end": 324.62, "word": " mirror", "probability": 0.84326171875}, {"start": 324.62, "end": 324.92, "word": " is", "probability": 0.68701171875}, {"start": 324.92, "end": 326.38, "word": " 40", "probability": 0.6767578125}, {"start": 326.38, "end": 327.3, "word": " cm", "probability": 0.8154296875}, {"start": 327.3, "end": 327.34, "word": " away", "probability": 0.59521484375}, {"start": 327.34, "end": 327.42, "word": " from", "probability": 0.80712890625}, {"start": 327.42, "end": 327.42, "word": " it", "probability": 0.82666015625}, {"start": 327.42, "end": 327.84, "word": " Now", "probability": 0.60693359375}, {"start": 327.84, "end": 328.1, "word": " we", "probability": 0.728515625}, {"start": 328.1, "end": 328.54, "word": " continue,", "probability": 0.5126953125}, {"start": 328.76, "end": 328.98, "word": " we", "probability": 0.65478515625}, {"start": 328.98, "end": 329.5, "word": " continue,", "probability": 0.79443359375}, {"start": 329.8, "end": 330.0, "word": " but", "probability": 0.8798828125}, {"start": 330.0, "end": 330.2, "word": " we", "probability": 0.9326171875}, {"start": 330.2, "end": 330.2, "word": " will", "probability": 0.697265625}, {"start": 330.2, "end": 330.42, "word": " continue", "probability": 0.85205078125}, {"start": 330.42, "end": 330.58, "word": " with", "probability": 0.61083984375}, {"start": 330.58, "end": 330.68, "word": " the", "probability": 0.80859375}, {"start": 330.68, "end": 331.24, "word": " black", "probability": 0.8505859375}, {"start": 331.24, "end": 331.24, "word": " color", "probability": 0.740234375}], "temperature": 1.0}, {"id": 15, "seek": 35366, "start": 332.5, "end": 353.66, "text": "We say U is equal to minus N over O is equal to minus 1 over 40 centimeters which is 4 out of 10 meters. Note that all measurements are in meters and it is equal to minus two and a half diopters. Minus two and a half diopters, so the light will reach here with a magnitude of minus two and a half diopters.", "tokens": [4360, 584, 624, 307, 2681, 281, 3175, 426, 670, 422, 307, 2681, 281, 3175, 502, 670, 3356, 23300, 597, 307, 1017, 484, 295, 1266, 8146, 13, 11633, 300, 439, 15383, 366, 294, 8146, 293, 309, 307, 2681, 281, 3175, 732, 293, 257, 1922, 1026, 404, 1559, 13, 2829, 301, 732, 293, 257, 1922, 1026, 404, 1559, 11, 370, 264, 1442, 486, 2524, 510, 365, 257, 15668, 295, 3175, 732, 293, 257, 1922, 1026, 404, 1559, 13], "avg_logprob": -0.48538961193778296, "compression_ratio": 1.9125, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 332.5, "end": 332.68, "word": "We", "probability": 0.58203125}, {"start": 332.68, "end": 332.98, "word": " say", "probability": 0.65478515625}, {"start": 332.98, "end": 333.38, "word": " U", "probability": 0.371826171875}, {"start": 333.38, "end": 333.84, "word": " is", "probability": 0.40283203125}, {"start": 333.84, "end": 334.12, "word": " equal", "probability": 0.43798828125}, {"start": 334.12, "end": 334.2, "word": " to", "probability": 0.8466796875}, {"start": 334.2, "end": 334.58, "word": " minus", "probability": 0.284423828125}, {"start": 334.58, "end": 335.02, "word": " N", "probability": 0.5498046875}, {"start": 335.02, "end": 335.28, "word": " over", "probability": 0.334716796875}, {"start": 335.28, "end": 335.7, "word": " O", "probability": 0.95703125}, {"start": 335.7, "end": 336.08, "word": " is", "probability": 0.482421875}, {"start": 336.08, "end": 336.2, "word": " equal", "probability": 0.91162109375}, {"start": 336.2, "end": 336.24, "word": " to", "probability": 0.96875}, {"start": 336.24, "end": 336.52, "word": " minus", "probability": 0.89013671875}, {"start": 336.52, "end": 336.88, "word": " 1", "probability": 0.7724609375}, {"start": 336.88, "end": 337.26, "word": " over", "probability": 0.7919921875}, {"start": 337.26, "end": 337.78, "word": " 40", "probability": 0.95068359375}, {"start": 337.78, "end": 338.24, "word": " centimeters", "probability": 0.297119140625}, {"start": 338.24, "end": 338.46, "word": " which", "probability": 0.390380859375}, {"start": 338.46, "end": 338.5, "word": " is", "probability": 0.8671875}, {"start": 338.5, "end": 338.8, "word": " 4", "probability": 0.77001953125}, {"start": 338.8, "end": 339.1, "word": " out", "probability": 0.29052734375}, {"start": 339.1, "end": 339.1, "word": " of", "probability": 0.9638671875}, {"start": 339.1, "end": 339.42, "word": " 10", "probability": 0.94287109375}, {"start": 339.42, "end": 339.92, "word": " meters.", "probability": 0.86767578125}, {"start": 340.24, "end": 340.52, "word": " Note", "probability": 0.1724853515625}, {"start": 340.52, "end": 340.76, "word": " that", "probability": 0.859375}, {"start": 340.76, "end": 341.38, "word": " all", "probability": 0.67431640625}, {"start": 341.38, "end": 341.38, "word": " measurements", "probability": 0.260009765625}, {"start": 341.38, "end": 341.86, "word": " are", "probability": 0.80126953125}, {"start": 341.86, "end": 341.96, "word": " in", "probability": 0.57373046875}, {"start": 341.96, "end": 342.42, "word": " meters", "probability": 0.8193359375}, {"start": 342.42, "end": 342.86, "word": " and", "probability": 0.306396484375}, {"start": 342.86, "end": 343.0, "word": " it", "probability": 0.336669921875}, {"start": 343.0, "end": 343.1, "word": " is", "probability": 0.67724609375}, {"start": 343.1, "end": 343.3, "word": " equal", "probability": 0.83154296875}, {"start": 343.3, "end": 343.4, "word": " to", "probability": 0.96435546875}, {"start": 343.4, "end": 344.0, "word": " minus", "probability": 0.81591796875}, {"start": 344.0, "end": 344.78, "word": " two", "probability": 0.1988525390625}, {"start": 344.78, "end": 345.46, "word": " and", "probability": 0.9140625}, {"start": 345.46, "end": 345.76, "word": " a", "probability": 0.8203125}, {"start": 345.76, "end": 345.84, "word": " half", "probability": 0.88330078125}, {"start": 345.84, "end": 346.56, "word": " diopters.", "probability": 0.7438151041666666}, {"start": 346.82, "end": 347.2, "word": " Minus", "probability": 0.73486328125}, {"start": 347.2, "end": 347.46, "word": " two", "probability": 0.84716796875}, {"start": 347.46, "end": 347.7, "word": " and", "probability": 0.93896484375}, {"start": 347.7, "end": 347.86, "word": " a", "probability": 0.95361328125}, {"start": 347.86, "end": 347.92, "word": " half", "probability": 0.87353515625}, {"start": 347.92, "end": 348.5, "word": " diopters,", "probability": 0.9505208333333334}, {"start": 348.58, "end": 348.76, "word": " so", "probability": 0.4912109375}, {"start": 348.76, "end": 348.94, "word": " the", "probability": 0.626953125}, {"start": 348.94, "end": 349.14, "word": " light", "probability": 0.466796875}, {"start": 349.14, "end": 349.36, "word": " will", "probability": 0.61474609375}, {"start": 349.36, "end": 349.58, "word": " reach", "probability": 0.67431640625}, {"start": 349.58, "end": 349.76, "word": " here", "probability": 0.2919921875}, {"start": 349.76, "end": 349.78, "word": " with", "probability": 0.0987548828125}, {"start": 349.78, "end": 349.9, "word": " a", "probability": 0.52880859375}, {"start": 349.9, "end": 350.32, "word": " magnitude", "probability": 0.07928466796875}, {"start": 350.32, "end": 351.22, "word": " of", "probability": 0.52197265625}, {"start": 351.22, "end": 352.06, "word": " minus", "probability": 0.94482421875}, {"start": 352.06, "end": 352.5, "word": " two", "probability": 0.85986328125}, {"start": 352.5, "end": 352.78, "word": " and", "probability": 0.947265625}, {"start": 352.78, "end": 352.98, "word": " a", "probability": 0.9755859375}, {"start": 352.98, "end": 353.02, "word": " half", "probability": 0.8623046875}, {"start": 353.02, "end": 353.66, "word": " diopters.", "probability": 0.9482421875}], "temperature": 1.0}, {"id": 16, "seek": 38360, "start": 354.76, "end": 383.6, "text": "What is the quadratic case of light when it comes out of the lens? We say u plus p equals v minus two and a half diopters plus four and a half diopters equals v So v equals plus two diopters plus two diopters plus two diopters Okay, v equals I, what does plus two diopters mean? The light will come out", "tokens": [3748, 307, 264, 37262, 1389, 295, 1442, 562, 309, 1487, 484, 295, 264, 6765, 30, 492, 584, 344, 1804, 280, 6915, 371, 3175, 732, 293, 257, 1922, 1026, 404, 1559, 1804, 1451, 293, 257, 1922, 1026, 404, 1559, 6915, 371, 407, 371, 6915, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1033, 11, 371, 6915, 286, 11, 437, 775, 1804, 732, 1026, 404, 1559, 914, 30, 440, 1442, 486, 808, 484], "avg_logprob": -0.42405062234854396, "compression_ratio": 1.8875, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 354.76, "end": 355.26, "word": "What", "probability": 0.1466064453125}, {"start": 355.26, "end": 355.54, "word": " is", "probability": 0.58447265625}, {"start": 355.54, "end": 355.62, "word": " the", "probability": 0.8115234375}, {"start": 355.62, "end": 356.38, "word": " quadratic", "probability": 0.01910400390625}, {"start": 356.38, "end": 356.38, "word": " case", "probability": 0.323486328125}, {"start": 356.38, "end": 356.74, "word": " of", "probability": 0.615234375}, {"start": 356.74, "end": 356.94, "word": " light", "probability": 0.5078125}, {"start": 356.94, "end": 357.16, "word": " when", "probability": 0.58837890625}, {"start": 357.16, "end": 357.36, "word": " it", "probability": 0.8876953125}, {"start": 357.36, "end": 357.54, "word": " comes", "probability": 0.2430419921875}, {"start": 357.54, "end": 357.84, "word": " out", "probability": 0.86328125}, {"start": 357.84, "end": 357.98, "word": " of", "probability": 0.890625}, {"start": 357.98, "end": 358.02, "word": " the", "probability": 0.77099609375}, {"start": 358.02, "end": 358.38, "word": " lens?", "probability": 0.609375}, {"start": 358.76, "end": 358.82, "word": " We", "probability": 0.369140625}, {"start": 358.82, "end": 359.08, "word": " say", "probability": 0.84130859375}, {"start": 359.08, "end": 359.56, "word": " u", "probability": 0.402587890625}, {"start": 359.56, "end": 360.08, "word": " plus", "probability": 0.25146484375}, {"start": 360.08, "end": 360.58, "word": " p", "probability": 0.71142578125}, {"start": 360.58, "end": 361.16, "word": " equals", "probability": 0.7080078125}, {"start": 361.16, "end": 361.6, "word": " v", "probability": 0.87060546875}, {"start": 361.6, "end": 362.5, "word": " minus", "probability": 0.919921875}, {"start": 362.5, "end": 362.88, "word": " two", "probability": 0.71337890625}, {"start": 362.88, "end": 363.16, "word": " and", "probability": 0.88232421875}, {"start": 363.16, "end": 363.4, "word": " a", "probability": 0.89990234375}, {"start": 363.4, "end": 363.42, "word": " half", "probability": 0.85986328125}, {"start": 363.42, "end": 364.08, "word": " diopters", "probability": 0.6774088541666666}, {"start": 364.08, "end": 364.92, "word": " plus", "probability": 0.888671875}, {"start": 364.92, "end": 366.22, "word": " four", "probability": 0.89599609375}, {"start": 366.22, "end": 366.78, "word": " and", "probability": 0.93798828125}, {"start": 366.78, "end": 366.94, "word": " a", "probability": 0.95458984375}, {"start": 366.94, "end": 366.96, "word": " half", "probability": 0.85498046875}, {"start": 366.96, "end": 367.6, "word": " diopters", "probability": 0.9305013020833334}, {"start": 367.6, "end": 368.1, "word": " equals", "probability": 0.86376953125}, {"start": 368.1, "end": 368.64, "word": " v", "probability": 0.85009765625}, {"start": 368.64, "end": 369.4, "word": " So", "probability": 0.211181640625}, {"start": 369.4, "end": 370.28, "word": " v", "probability": 0.6279296875}, {"start": 370.28, "end": 371.26, "word": " equals", "probability": 0.83984375}, {"start": 371.26, "end": 371.78, "word": " plus", "probability": 0.87060546875}, {"start": 371.78, "end": 372.22, "word": " two", "probability": 0.89501953125}, {"start": 372.22, "end": 373.24, "word": " diopters", "probability": 0.9353841145833334}, {"start": 373.24, "end": 373.52, "word": " plus", "probability": 0.55224609375}, {"start": 373.52, "end": 374.28, "word": " two", "probability": 0.9140625}, {"start": 374.28, "end": 375.2, "word": " diopters", "probability": 0.9397786458333334}, {"start": 375.2, "end": 375.4, "word": " plus", "probability": 0.80517578125}, {"start": 375.4, "end": 375.82, "word": " two", "probability": 0.9189453125}, {"start": 375.82, "end": 376.66, "word": " diopters", "probability": 0.9518229166666666}, {"start": 376.66, "end": 377.12, "word": " Okay,", "probability": 0.297607421875}, {"start": 377.34, "end": 378.28, "word": " v", "probability": 0.76513671875}, {"start": 378.28, "end": 378.92, "word": " equals", "probability": 0.8173828125}, {"start": 378.92, "end": 379.22, "word": " I,", "probability": 0.17529296875}, {"start": 380.2, "end": 380.38, "word": " what", "probability": 0.7294921875}, {"start": 380.38, "end": 380.62, "word": " does", "probability": 0.80029296875}, {"start": 380.62, "end": 380.96, "word": " plus", "probability": 0.66650390625}, {"start": 380.96, "end": 381.26, "word": " two", "probability": 0.89306640625}, {"start": 381.26, "end": 381.84, "word": " diopters", "probability": 0.9415690104166666}, {"start": 381.84, "end": 381.86, "word": " mean?", "probability": 0.654296875}, {"start": 382.16, "end": 382.76, "word": " The", "probability": 0.365234375}, {"start": 382.76, "end": 382.98, "word": " light", "probability": 0.6767578125}, {"start": 382.98, "end": 383.18, "word": " will", "probability": 0.6376953125}, {"start": 383.18, "end": 383.4, "word": " come", "probability": 0.615234375}, {"start": 383.4, "end": 383.6, "word": " out", "probability": 0.88525390625}], "temperature": 1.0}, {"id": 17, "seek": 41018, "start": 384.88, "end": 410.18, "text": "مش متشرطة وانما متجمع يعني في طريقه يكون صورة حقيقية مش صورة تخيلية مكان الصورة الحقيقية وين V تساوي Unshort على I I تساوي Unshort على V ببدلهم مكان بعض ويساوي Unshort على 1 لإن احنا في الهوا و ال V اللي هي plus 2 ده يبتد ويساوي plus نص متر", "tokens": [2304, 8592, 44650, 46309, 9566, 3660, 4032, 7649, 15042, 44650, 7435, 2304, 3615, 37495, 22653, 8978, 23032, 16572, 4587, 3224, 7251, 30544, 20328, 13063, 3660, 11331, 38436, 4587, 10632, 37893, 20328, 13063, 3660, 6055, 9778, 26895, 10632, 3714, 41361, 31767, 13063, 3660, 21542, 38436, 4587, 10632, 4032, 9957, 691, 6055, 3794, 995, 45865, 1156, 2716, 477, 15844, 286, 286, 6055, 3794, 995, 45865, 1156, 2716, 477, 15844, 691, 4724, 44510, 1211, 16095, 3714, 41361, 45030, 11242, 4032, 1829, 3794, 995, 45865, 1156, 2716, 477, 15844, 502, 5296, 28814, 1863, 1975, 5016, 8315, 8978, 2423, 3224, 14407, 4032, 2423, 691, 13672, 1829, 39896, 1804, 568, 11778, 3224, 7251, 3555, 2655, 3215, 4032, 1829, 3794, 995, 45865, 1804, 8717, 9381, 44650, 2288], "avg_logprob": -0.20260846811877795, "compression_ratio": 1.9033816425120773, "no_speech_prob": 1.5497207641601562e-06, "words": [{"start": 384.88, "end": 385.18, "word": "مش", "probability": 0.57305908203125}, {"start": 385.18, "end": 385.86, "word": " متشرطة", "probability": 0.63043212890625}, {"start": 385.86, "end": 386.26, "word": " وانما", "probability": 0.8299153645833334}, {"start": 386.26, "end": 386.84, "word": " متجمع", "probability": 0.9722900390625}, {"start": 386.84, "end": 387.02, "word": " يعني", "probability": 0.700439453125}, {"start": 387.02, "end": 387.18, "word": " في", "probability": 0.89599609375}, {"start": 387.18, "end": 387.74, "word": " طريقه", "probability": 0.9910888671875}, {"start": 387.74, "end": 388.14, "word": " يكون", "probability": 0.7802734375}, {"start": 388.14, "end": 388.58, "word": " صورة", "probability": 0.97509765625}, {"start": 388.58, "end": 389.28, "word": " حقيقية", "probability": 0.990966796875}, {"start": 389.28, "end": 389.92, "word": " مش", "probability": 0.90380859375}, {"start": 389.92, "end": 390.32, "word": " صورة", "probability": 0.98583984375}, {"start": 390.32, "end": 390.94, "word": " تخيلية", "probability": 0.8067626953125}, {"start": 390.94, "end": 391.66, "word": " مكان", "probability": 0.822265625}, {"start": 391.66, "end": 392.08, "word": " الصورة", "probability": 0.98486328125}, {"start": 392.08, "end": 392.68, "word": " الحقيقية", "probability": 0.9888916015625}, {"start": 392.68, "end": 393.08, "word": " وين", "probability": 0.89892578125}, {"start": 393.08, "end": 393.56, "word": " V", "probability": 0.44580078125}, {"start": 393.56, "end": 394.06, "word": " تساوي", "probability": 0.8096923828125}, {"start": 394.06, "end": 394.52, "word": " Unshort", "probability": 0.514404296875}, {"start": 394.52, "end": 394.8, "word": " على", "probability": 0.63037109375}, {"start": 394.8, "end": 395.2, "word": " I", "probability": 0.9814453125}, {"start": 395.2, "end": 395.6, "word": " I", "probability": 0.74169921875}, {"start": 395.6, "end": 396.2, "word": " تساوي", "probability": 0.9730224609375}, {"start": 396.2, "end": 396.78, "word": " Unshort", "probability": 0.9677734375}, {"start": 396.78, "end": 397.1, "word": " على", "probability": 0.92236328125}, {"start": 397.1, "end": 397.34, "word": " V", "probability": 0.98388671875}, {"start": 397.34, "end": 397.94, "word": " ببدلهم", "probability": 0.8184814453125}, {"start": 397.94, "end": 398.2, "word": " مكان", "probability": 0.99365234375}, {"start": 398.2, "end": 398.74, "word": " بعض", "probability": 0.969482421875}, {"start": 398.74, "end": 400.3, "word": " ويساوي", "probability": 0.89130859375}, {"start": 400.3, "end": 401.62, "word": " Unshort", "probability": 0.9737955729166666}, {"start": 401.62, "end": 401.76, "word": " على", "probability": 0.2235107421875}, {"start": 401.76, "end": 402.02, "word": " 1", "probability": 0.68212890625}, {"start": 402.02, "end": 402.32, "word": " لإن", "probability": 0.84765625}, {"start": 402.32, "end": 402.6, "word": " احنا", "probability": 0.736572265625}, {"start": 402.6, "end": 402.76, "word": " في", "probability": 0.8828125}, {"start": 402.76, "end": 403.1, "word": " الهوا", "probability": 0.781005859375}, {"start": 403.1, "end": 403.56, "word": " و", "probability": 0.87060546875}, {"start": 403.56, "end": 403.74, "word": " ال", "probability": 0.481689453125}, {"start": 403.74, "end": 403.88, "word": " V", "probability": 0.951171875}, {"start": 403.88, "end": 404.04, "word": " اللي", "probability": 0.7008056640625}, {"start": 404.04, "end": 404.2, "word": " هي", "probability": 0.54541015625}, {"start": 404.2, "end": 404.5, "word": " plus", "probability": 0.7548828125}, {"start": 404.5, "end": 405.0, "word": " 2", "probability": 0.88916015625}, {"start": 405.0, "end": 405.44, "word": " ده", "probability": 0.9248046875}, {"start": 405.44, "end": 405.94, "word": " يبتد", "probability": 0.81396484375}, {"start": 405.94, "end": 406.9, "word": " ويساوي", "probability": 0.88740234375}, {"start": 406.9, "end": 409.3, "word": " plus", "probability": 0.904296875}, {"start": 409.3, "end": 409.74, "word": " نص", "probability": 0.937255859375}, {"start": 409.74, "end": 410.18, "word": " متر", "probability": 0.93701171875}], "temperature": 1.0}, {"id": 18, "seek": 43882, "start": 411.58, "end": 438.82, "text": " So, the second and the last image will be 50 cm away from the second lens. This image is larger than its body because of the second transference magnification TM2 is equal to U over V and is equal to U minus two and a half diopters over", "tokens": [407, 11, 264, 1150, 293, 264, 1036, 3256, 486, 312, 2625, 14668, 1314, 490, 264, 1150, 6765, 13, 639, 3256, 307, 4833, 813, 1080, 1772, 570, 295, 264, 1150, 5003, 655, 4944, 3774, 33550, 17, 307, 2681, 281, 624, 670, 691, 293, 307, 2681, 281, 624, 3175, 732, 293, 257, 1922, 1026, 404, 1559, 670], "avg_logprob": -0.5502232164144516, "compression_ratio": 1.5192307692307692, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 411.58, "end": 412.04, "word": " So,", "probability": 0.31787109375}, {"start": 412.36, "end": 412.4, "word": " the", "probability": 0.68603515625}, {"start": 412.4, "end": 413.36, "word": " second", "probability": 0.56982421875}, {"start": 413.36, "end": 413.6, "word": " and", "probability": 0.8828125}, {"start": 413.6, "end": 413.72, "word": " the", "probability": 0.486572265625}, {"start": 413.72, "end": 414.0, "word": " last", "probability": 0.84619140625}, {"start": 414.0, "end": 414.1, "word": " image", "probability": 0.677734375}, {"start": 414.1, "end": 414.4, "word": " will", "probability": 0.556640625}, {"start": 414.4, "end": 414.56, "word": " be", "probability": 0.810546875}, {"start": 414.56, "end": 415.32, "word": " 50", "probability": 0.71142578125}, {"start": 415.32, "end": 416.14, "word": " cm", "probability": 0.619140625}, {"start": 416.14, "end": 416.14, "word": " away", "probability": 0.6611328125}, {"start": 416.14, "end": 417.22, "word": " from", "probability": 0.87744140625}, {"start": 417.22, "end": 417.46, "word": " the", "probability": 0.6376953125}, {"start": 417.46, "end": 418.48, "word": " second", "probability": 0.66748046875}, {"start": 418.48, "end": 418.5, "word": " lens.", "probability": 0.3251953125}, {"start": 420.16, "end": 420.6, "word": " This", "probability": 0.472412109375}, {"start": 420.6, "end": 421.1, "word": " image", "probability": 0.74072265625}, {"start": 421.1, "end": 424.82, "word": " is", "probability": 0.220947265625}, {"start": 424.82, "end": 426.58, "word": " larger", "probability": 0.2432861328125}, {"start": 426.58, "end": 427.12, "word": " than", "probability": 0.86376953125}, {"start": 427.12, "end": 427.32, "word": " its", "probability": 0.34423828125}, {"start": 427.32, "end": 427.74, "word": " body", "probability": 0.603515625}, {"start": 427.74, "end": 428.7, "word": " because", "probability": 0.426513671875}, {"start": 428.7, "end": 429.04, "word": " of", "probability": 0.70166015625}, {"start": 429.04, "end": 429.06, "word": " the", "probability": 0.71875}, {"start": 429.06, "end": 429.5, "word": " second", "probability": 0.53515625}, {"start": 429.5, "end": 429.74, "word": " transference", "probability": 0.40869140625}, {"start": 429.74, "end": 430.54, "word": " magnification", "probability": 0.95703125}, {"start": 430.54, "end": 431.94, "word": " TM2", "probability": 0.53131103515625}, {"start": 431.94, "end": 432.14, "word": " is", "probability": 0.06488037109375}, {"start": 432.14, "end": 432.36, "word": " equal", "probability": 0.7890625}, {"start": 432.36, "end": 432.44, "word": " to", "probability": 0.95751953125}, {"start": 432.44, "end": 432.7, "word": " U", "probability": 0.76513671875}, {"start": 432.7, "end": 432.96, "word": " over", "probability": 0.40478515625}, {"start": 432.96, "end": 433.26, "word": " V", "probability": 0.95361328125}, {"start": 433.26, "end": 433.44, "word": " and", "probability": 0.275146484375}, {"start": 433.44, "end": 433.6, "word": " is", "probability": 0.355224609375}, {"start": 433.6, "end": 433.9, "word": " equal", "probability": 0.87158203125}, {"start": 433.9, "end": 434.36, "word": " to", "probability": 0.9443359375}, {"start": 434.36, "end": 434.66, "word": " U", "probability": 0.74951171875}, {"start": 434.66, "end": 435.1, "word": " minus", "probability": 0.95361328125}, {"start": 435.1, "end": 435.36, "word": " two", "probability": 0.56201171875}, {"start": 435.36, "end": 435.58, "word": " and", "probability": 0.87939453125}, {"start": 435.58, "end": 435.68, "word": " a", "probability": 0.87158203125}, {"start": 435.68, "end": 435.74, "word": " half", "probability": 0.859375}, {"start": 435.74, "end": 436.34, "word": " diopters", "probability": 0.5775146484375}, {"start": 436.34, "end": 438.82, "word": " over", "probability": 0.61083984375}], "temperature": 1.0}, {"id": 19, "seek": 46690, "start": 440.5, "end": 466.9, "text": " V plus 2 is equal to 1 quarter x minus 1 quarter what does it mean x minus 1 quarter? it means that this picture is upside down compared to its body and bigger than it by a quarter now let's bring the total", "tokens": [691, 1804, 568, 307, 2681, 281, 502, 6555, 2031, 3175, 502, 6555, 437, 775, 309, 914, 2031, 3175, 502, 6555, 30, 309, 1355, 300, 341, 3036, 307, 14119, 760, 5347, 281, 1080, 1772, 293, 3801, 813, 309, 538, 257, 6555, 586, 718, 311, 1565, 264, 3217], "avg_logprob": -0.6412899139079642, "compression_ratio": 1.5333333333333334, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 440.5, "end": 441.0, "word": " V", "probability": 0.250244140625}, {"start": 441.0, "end": 441.66, "word": " plus", "probability": 0.30859375}, {"start": 441.66, "end": 442.16, "word": " 2", "probability": 0.63330078125}, {"start": 442.16, "end": 444.9, "word": " is", "probability": 0.338134765625}, {"start": 444.9, "end": 445.32, "word": " equal", "probability": 0.66796875}, {"start": 445.32, "end": 448.52, "word": " to", "probability": 0.9580078125}, {"start": 448.52, "end": 448.98, "word": " 1", "probability": 0.517578125}, {"start": 448.98, "end": 449.64, "word": " quarter", "probability": 0.513671875}, {"start": 449.64, "end": 451.3, "word": " x", "probability": 0.343017578125}, {"start": 451.3, "end": 452.26, "word": " minus", "probability": 0.97509765625}, {"start": 452.26, "end": 452.74, "word": " 1", "probability": 0.576171875}, {"start": 452.74, "end": 453.38, "word": " quarter", "probability": 0.89208984375}, {"start": 453.38, "end": 453.68, "word": " what", "probability": 0.174072265625}, {"start": 453.68, "end": 453.86, "word": " does", "probability": 0.71435546875}, {"start": 453.86, "end": 453.98, "word": " it", "probability": 0.4345703125}, {"start": 453.98, "end": 454.1, "word": " mean", "probability": 0.9169921875}, {"start": 454.1, "end": 454.56, "word": " x", "probability": 0.336669921875}, {"start": 454.56, "end": 454.96, "word": " minus", "probability": 0.97216796875}, {"start": 454.96, "end": 455.26, "word": " 1", "probability": 0.6474609375}, {"start": 455.26, "end": 455.7, "word": " quarter?", "probability": 0.908203125}, {"start": 455.92, "end": 456.38, "word": " it", "probability": 0.382080078125}, {"start": 456.38, "end": 456.46, "word": " means", "probability": 0.88427734375}, {"start": 456.46, "end": 456.58, "word": " that", "probability": 0.662109375}, {"start": 456.58, "end": 456.64, "word": " this", "probability": 0.3671875}, {"start": 456.64, "end": 456.9, "word": " picture", "probability": 0.448974609375}, {"start": 456.9, "end": 458.36, "word": " is", "probability": 0.85498046875}, {"start": 458.36, "end": 458.62, "word": " upside", "probability": 0.173828125}, {"start": 458.62, "end": 459.44, "word": " down", "probability": 0.79052734375}, {"start": 459.44, "end": 459.68, "word": " compared", "probability": 0.1832275390625}, {"start": 459.68, "end": 460.04, "word": " to", "probability": 0.96484375}, {"start": 460.04, "end": 460.14, "word": " its", "probability": 0.61962890625}, {"start": 460.14, "end": 460.52, "word": " body", "probability": 0.57421875}, {"start": 460.52, "end": 461.4, "word": " and", "probability": 0.6162109375}, {"start": 461.4, "end": 461.82, "word": " bigger", "probability": 0.27099609375}, {"start": 461.82, "end": 462.1, "word": " than", "probability": 0.88671875}, {"start": 462.1, "end": 462.36, "word": " it", "probability": 0.6064453125}, {"start": 462.36, "end": 463.24, "word": " by", "probability": 0.485107421875}, {"start": 463.24, "end": 463.28, "word": " a", "probability": 0.2548828125}, {"start": 463.28, "end": 463.52, "word": " quarter", "probability": 0.8681640625}, {"start": 463.52, "end": 465.88, "word": " now", "probability": 0.5517578125}, {"start": 465.88, "end": 466.32, "word": " let's", "probability": 0.62451171875}, {"start": 466.32, "end": 466.56, "word": " bring", "probability": 0.292236328125}, {"start": 466.56, "end": 466.72, "word": " the", "probability": 0.5390625}, {"start": 466.72, "end": 466.9, "word": " total", "probability": 0.58837890625}], "temperature": 1.0}, {"id": 20, "seek": 47953, "start": 469.61, "end": 479.53, "text": " Transphase Magnification يساوي T M1 في T M2 ويساوي T M1 T M1 اتنين و نص", "tokens": [6531, 43331, 19664, 3774, 7251, 3794, 995, 45865, 314, 376, 16, 8978, 314, 376, 17, 4032, 1829, 3794, 995, 45865, 314, 376, 16, 314, 376, 16, 1975, 2655, 1863, 9957, 4032, 8717, 9381], "avg_logprob": -0.28446691527086143, "compression_ratio": 1.1625, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 469.61, "end": 470.23, "word": " Transphase", "probability": 0.836181640625}, {"start": 470.23, "end": 471.09, "word": " Magnification", "probability": 0.7548828125}, {"start": 471.09, "end": 471.71, "word": " يساوي", "probability": 0.7059173583984375}, {"start": 471.71, "end": 471.95, "word": " T", "probability": 0.357177734375}, {"start": 471.95, "end": 472.55, "word": " M1", "probability": 0.6141357421875}, {"start": 472.55, "end": 472.79, "word": " في", "probability": 0.34228515625}, {"start": 472.79, "end": 473.05, "word": " T", "probability": 0.9755859375}, {"start": 473.05, "end": 473.69, "word": " M2", "probability": 0.99169921875}, {"start": 473.69, "end": 475.31, "word": " ويساوي", "probability": 0.87900390625}, {"start": 475.31, "end": 475.89, "word": " T", "probability": 0.96044921875}, {"start": 475.89, "end": 476.53, "word": " M1", "probability": 0.986328125}, {"start": 476.53, "end": 478.09, "word": " T", "probability": 0.4521484375}, {"start": 478.09, "end": 478.63, "word": " M1", "probability": 0.983642578125}, {"start": 478.63, "end": 479.09, "word": " اتنين", "probability": 0.8140869140625}, {"start": 479.09, "end": 479.21, "word": " و", "probability": 0.9736328125}, {"start": 479.21, "end": 479.53, "word": " نص", "probability": 0.822998046875}], "temperature": 1.0}, {"id": 21, "seek": 50907, "start": 490.61, "end": 509.07, "text": "Minus one and a quarter. So plus two and a half times minus one and a quarter. We multiply it. We say one hundred and twenty-five times twenty-five. Five times five times twenty-five. Ten, twelve, six. Two times one hundred and twenty-five.", "tokens": [30031, 301, 472, 293, 257, 6555, 13, 407, 1804, 732, 293, 257, 1922, 1413, 3175, 472, 293, 257, 6555, 13, 492, 12972, 309, 13, 492, 584, 472, 3262, 293, 7699, 12, 18621, 1413, 7699, 12, 18621, 13, 9436, 1413, 1732, 1413, 7699, 12, 18621, 13, 9380, 11, 14390, 11, 2309, 13, 4453, 1413, 472, 3262, 293, 7699, 12, 18621, 13], "avg_logprob": -0.35835042351582014, "compression_ratio": 1.9047619047619047, "no_speech_prob": 3.0517578125e-05, "words": [{"start": 490.61, "end": 491.13, "word": "Minus", "probability": 0.550445556640625}, {"start": 491.13, "end": 491.45, "word": " one", "probability": 0.689453125}, {"start": 491.45, "end": 491.69, "word": " and", "probability": 0.6005859375}, {"start": 491.69, "end": 491.69, "word": " a", "probability": 0.58154296875}, {"start": 491.69, "end": 491.81, "word": " quarter.", "probability": 0.8271484375}, {"start": 491.85, "end": 492.01, "word": " So", "probability": 0.486083984375}, {"start": 492.01, "end": 492.41, "word": " plus", "probability": 0.560546875}, {"start": 492.41, "end": 492.71, "word": " two", "probability": 0.91357421875}, {"start": 492.71, "end": 492.93, "word": " and", "probability": 0.90283203125}, {"start": 492.93, "end": 493.13, "word": " a", "probability": 0.94482421875}, {"start": 493.13, "end": 493.21, "word": " half", "probability": 0.5341796875}, {"start": 493.21, "end": 493.71, "word": " times", "probability": 0.361572265625}, {"start": 493.71, "end": 494.09, "word": " minus", "probability": 0.9716796875}, {"start": 494.09, "end": 494.43, "word": " one", "probability": 0.93310546875}, {"start": 494.43, "end": 494.61, "word": " and", "probability": 0.78125}, {"start": 494.61, "end": 494.69, "word": " a", "probability": 0.9609375}, {"start": 494.69, "end": 494.83, "word": " quarter.", "probability": 0.87353515625}, {"start": 494.95, "end": 494.97, "word": " We", "probability": 0.68798828125}, {"start": 494.97, "end": 495.19, "word": " multiply", "probability": 0.382080078125}, {"start": 495.19, "end": 496.21, "word": " it.", "probability": 0.4755859375}, {"start": 496.21, "end": 496.51, "word": " We", "probability": 0.436767578125}, {"start": 496.51, "end": 496.81, "word": " say", "probability": 0.4521484375}, {"start": 496.81, "end": 497.25, "word": " one", "probability": 0.54443359375}, {"start": 497.25, "end": 497.43, "word": " hundred", "probability": 0.91845703125}, {"start": 497.43, "end": 497.57, "word": " and", "probability": 0.58203125}, {"start": 497.57, "end": 498.15, "word": " twenty", "probability": 0.79638671875}, {"start": 498.15, "end": 498.43, "word": "-five", "probability": 0.82275390625}, {"start": 498.43, "end": 499.25, "word": " times", "probability": 0.73046875}, {"start": 499.25, "end": 500.01, "word": " twenty", "probability": 0.83984375}, {"start": 500.01, "end": 500.29, "word": "-five.", "probability": 0.946044921875}, {"start": 501.23, "end": 501.79, "word": " Five", "probability": 0.8369140625}, {"start": 501.79, "end": 501.95, "word": " times", "probability": 0.72998046875}, {"start": 501.95, "end": 502.21, "word": " five", "probability": 0.927734375}, {"start": 502.21, "end": 502.35, "word": " times", "probability": 0.41015625}, {"start": 502.35, "end": 503.11, "word": " twenty", "probability": 0.76416015625}, {"start": 503.11, "end": 503.45, "word": "-five.", "probability": 0.940673828125}, {"start": 503.61, "end": 503.99, "word": " Ten,", "probability": 0.9404296875}, {"start": 504.13, "end": 504.65, "word": " twelve,", "probability": 0.82177734375}, {"start": 505.71, "end": 506.11, "word": " six.", "probability": 0.9443359375}, {"start": 507.57, "end": 508.13, "word": " Two", "probability": 0.89599609375}, {"start": 508.13, "end": 508.27, "word": " times", "probability": 0.765625}, {"start": 508.27, "end": 508.45, "word": " one", "probability": 0.8095703125}, {"start": 508.45, "end": 508.53, "word": " hundred", "probability": 0.9248046875}, {"start": 508.53, "end": 508.75, "word": " and", "probability": 0.79150390625}, {"start": 508.75, "end": 509.07, "word": " twenty", "probability": 0.8115234375}, {"start": 509.07, "end": 509.07, "word": "-five.", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 22, "seek": 54376, "start": 515.04, "end": 543.76, "text": " Eleven, three, I have one, two, three, so x plus minus minus, three, one, one hundred and twenty-five thousand That is, the last picture for the original object is inverted, as it is clearly seen And bigger than it, bigger than it, three times and eight, one hundred and twenty-five thousand and eight", "tokens": [48548, 11, 1045, 11, 286, 362, 472, 11, 732, 11, 1045, 11, 370, 2031, 1804, 3175, 3175, 11, 1045, 11, 472, 11, 472, 3262, 293, 7699, 12, 18621, 4714, 663, 307, 11, 264, 1036, 3036, 337, 264, 3380, 2657, 307, 38969, 11, 382, 309, 307, 4448, 1612, 400, 3801, 813, 309, 11, 3801, 813, 309, 11, 1045, 1413, 293, 3180, 11, 472, 3262, 293, 7699, 12, 18621, 4714, 293, 3180], "avg_logprob": -0.5338908417124144, "compression_ratio": 1.8414634146341464, "no_speech_prob": 5.0067901611328125e-06, "words": [{"start": 515.04, "end": 515.8, "word": " Eleven,", "probability": 0.2279052734375}, {"start": 515.8, "end": 516.56, "word": " three,", "probability": 0.6884765625}, {"start": 516.82, "end": 517.26, "word": " I", "probability": 0.7841796875}, {"start": 517.26, "end": 517.34, "word": " have", "probability": 0.8994140625}, {"start": 517.34, "end": 517.98, "word": " one,", "probability": 0.68505859375}, {"start": 518.1, "end": 518.3, "word": " two,", "probability": 0.95361328125}, {"start": 518.78, "end": 519.38, "word": " three,", "probability": 0.92822265625}, {"start": 520.0, "end": 520.42, "word": " so", "probability": 0.358154296875}, {"start": 520.42, "end": 522.06, "word": " x", "probability": 0.5625}, {"start": 522.06, "end": 522.58, "word": " plus", "probability": 0.681640625}, {"start": 522.58, "end": 523.02, "word": " minus", "probability": 0.650390625}, {"start": 523.02, "end": 523.56, "word": " minus,", "probability": 0.85595703125}, {"start": 524.12, "end": 524.68, "word": " three,", "probability": 0.8017578125}, {"start": 526.04, "end": 526.5, "word": " one,", "probability": 0.88525390625}, {"start": 526.74, "end": 526.82, "word": " one", "probability": 0.1707763671875}, {"start": 526.82, "end": 526.96, "word": " hundred", "probability": 0.89794921875}, {"start": 526.96, "end": 527.22, "word": " and", "probability": 0.4365234375}, {"start": 527.22, "end": 527.62, "word": " twenty", "probability": 0.796875}, {"start": 527.62, "end": 527.9, "word": "-five", "probability": 0.7012939453125}, {"start": 527.9, "end": 528.36, "word": " thousand", "probability": 0.74560546875}, {"start": 528.36, "end": 528.66, "word": " That", "probability": 0.07452392578125}, {"start": 528.66, "end": 529.3, "word": " is,", "probability": 0.55224609375}, {"start": 529.38, "end": 529.82, "word": " the", "probability": 0.83935546875}, {"start": 529.82, "end": 530.46, "word": " last", "probability": 0.685546875}, {"start": 530.46, "end": 530.62, "word": " picture", "probability": 0.36181640625}, {"start": 530.62, "end": 531.84, "word": " for", "probability": 0.1986083984375}, {"start": 531.84, "end": 532.42, "word": " the", "probability": 0.8427734375}, {"start": 532.42, "end": 532.44, "word": " original", "probability": 0.91796875}, {"start": 532.44, "end": 533.38, "word": " object", "probability": 0.92041015625}, {"start": 533.38, "end": 533.84, "word": " is", "probability": 0.70654296875}, {"start": 533.84, "end": 534.24, "word": " inverted,", "probability": 0.195556640625}, {"start": 534.7, "end": 534.9, "word": " as", "probability": 0.67041015625}, {"start": 534.9, "end": 535.12, "word": " it", "probability": 0.541015625}, {"start": 535.12, "end": 535.12, "word": " is", "probability": 0.8564453125}, {"start": 535.12, "end": 535.48, "word": " clearly", "probability": 0.51513671875}, {"start": 535.48, "end": 535.86, "word": " seen", "probability": 0.419677734375}, {"start": 535.86, "end": 537.38, "word": " And", "probability": 0.408203125}, {"start": 537.38, "end": 537.92, "word": " bigger", "probability": 0.375244140625}, {"start": 537.92, "end": 538.28, "word": " than", "probability": 0.931640625}, {"start": 538.28, "end": 538.56, "word": " it,", "probability": 0.6044921875}, {"start": 538.64, "end": 539.08, "word": " bigger", "probability": 0.64892578125}, {"start": 539.08, "end": 539.42, "word": " than", "probability": 0.94140625}, {"start": 539.42, "end": 539.72, "word": " it,", "probability": 0.93408203125}, {"start": 540.38, "end": 540.84, "word": " three", "probability": 0.68310546875}, {"start": 540.84, "end": 541.34, "word": " times", "probability": 0.90771484375}, {"start": 541.34, "end": 541.68, "word": " and", "probability": 0.75390625}, {"start": 541.68, "end": 541.94, "word": " eight,", "probability": 0.123779296875}, {"start": 542.08, "end": 542.18, "word": " one", "probability": 0.7919921875}, {"start": 542.18, "end": 542.32, "word": " hundred", "probability": 0.92724609375}, {"start": 542.32, "end": 542.48, "word": " and", "probability": 0.818359375}, {"start": 542.48, "end": 542.84, "word": " twenty", "probability": 0.779296875}, {"start": 542.84, "end": 542.98, "word": "-five", "probability": 0.950439453125}, {"start": 542.98, "end": 543.36, "word": " thousand", "probability": 0.84716796875}, {"start": 543.36, "end": 543.64, "word": " and", "probability": 0.376953125}, {"start": 543.64, "end": 543.76, "word": " eight", "probability": 0.88037109375}], "temperature": 1.0}, {"id": 23, "seek": 57386, "start": 544.4, "end": 573.86, "text": " The last picture I will draw it in red because it came from the red lens, the picture of the red lens. This concludes the issue and we say that the common factor between the two lenses is the imaginary picture. It is an imaginary picture for the lens number one and at the same time a body for the lens number two. That is why we drew it in two colors and this is how the issue ended and may Allah bless you all. Assalamualaikum warahmatullahi wabarakatuh.", "tokens": [440, 1036, 3036, 286, 486, 2642, 309, 294, 2182, 570, 309, 1361, 490, 264, 2182, 6765, 11, 264, 3036, 295, 264, 2182, 6765, 13, 639, 24643, 264, 2734, 293, 321, 584, 300, 264, 2689, 5952, 1296, 264, 732, 18059, 307, 264, 26164, 3036, 13, 467, 307, 364, 26164, 3036, 337, 264, 6765, 1230, 472, 293, 412, 264, 912, 565, 257, 1772, 337, 264, 6765, 1230, 732, 13, 663, 307, 983, 321, 12804, 309, 294, 732, 4577, 293, 341, 307, 577, 264, 2734, 4590, 293, 815, 4574, 5227, 291, 439, 13, 6281, 23819, 901, 64, 35518, 1516, 545, 15677, 858, 27783, 261, 455, 23346, 267, 3232, 13], "avg_logprob": -0.44772195983155866, "compression_ratio": 1.8502024291497976, "no_speech_prob": 5.27501106262207e-05, "words": [{"start": 544.4, "end": 545.0, "word": " The", "probability": 0.44921875}, {"start": 545.0, "end": 545.14, "word": " last", "probability": 0.80517578125}, {"start": 545.14, "end": 545.16, "word": " picture", "probability": 0.387939453125}, {"start": 545.16, "end": 545.38, "word": " I", "probability": 0.537109375}, {"start": 545.38, "end": 545.58, "word": " will", "probability": 0.66015625}, {"start": 545.58, "end": 545.7, "word": " draw", "probability": 0.6533203125}, {"start": 545.7, "end": 545.9, "word": " it", "probability": 0.32568359375}, {"start": 545.9, "end": 545.96, "word": " in", "probability": 0.481201171875}, {"start": 545.96, "end": 546.54, "word": " red", "probability": 0.86474609375}, {"start": 546.54, "end": 547.2, "word": " because", "probability": 0.33740234375}, {"start": 547.2, "end": 547.52, "word": " it", "probability": 0.89111328125}, {"start": 547.52, "end": 547.7, "word": " came", "probability": 0.28564453125}, {"start": 547.7, "end": 547.94, "word": " from", "probability": 0.86572265625}, {"start": 547.94, "end": 548.1, "word": " the", "probability": 0.7841796875}, {"start": 548.1, "end": 548.66, "word": " red", "probability": 0.8759765625}, {"start": 548.66, "end": 548.66, "word": " lens,", "probability": 0.67919921875}, {"start": 548.76, "end": 548.84, "word": " the", "probability": 0.425048828125}, {"start": 548.84, "end": 549.0, "word": " picture", "probability": 0.4404296875}, {"start": 549.0, "end": 549.18, "word": " of", "probability": 0.94384765625}, {"start": 549.18, "end": 550.16, "word": " the", "probability": 0.84375}, {"start": 550.16, "end": 550.5, "word": " red", "probability": 0.94140625}, {"start": 550.5, "end": 550.5, "word": " lens.", "probability": 0.912109375}, {"start": 550.9, "end": 551.12, "word": " This", "probability": 0.5107421875}, {"start": 551.12, "end": 551.52, "word": " concludes", "probability": 0.5009765625}, {"start": 551.52, "end": 551.68, "word": " the", "probability": 0.86474609375}, {"start": 551.68, "end": 551.98, "word": " issue", "probability": 0.19921875}, {"start": 551.98, "end": 552.6, "word": " and", "probability": 0.6044921875}, {"start": 552.6, "end": 552.74, "word": " we", "probability": 0.69384765625}, {"start": 552.74, "end": 553.08, "word": " say", "probability": 0.896484375}, {"start": 553.08, "end": 553.62, "word": " that", "probability": 0.6640625}, {"start": 553.62, "end": 553.78, "word": " the", "probability": 0.88134765625}, {"start": 553.78, "end": 554.2, "word": " common", "probability": 0.60986328125}, {"start": 554.2, "end": 554.48, "word": " factor", "probability": 0.314208984375}, {"start": 554.48, "end": 554.78, "word": " between", "probability": 0.86767578125}, {"start": 554.78, "end": 554.92, "word": " the", "probability": 0.7666015625}, {"start": 554.92, "end": 555.48, "word": " two", "probability": 0.92626953125}, {"start": 555.48, "end": 555.48, "word": " lenses", "probability": 0.908203125}, {"start": 555.48, "end": 555.94, "word": " is", "probability": 0.9306640625}, {"start": 555.94, "end": 556.42, "word": " the", "probability": 0.66259765625}, {"start": 556.42, "end": 556.92, "word": " imaginary", "probability": 0.5068359375}, {"start": 556.92, "end": 556.92, "word": " picture.", "probability": 0.469970703125}, {"start": 557.06, "end": 557.16, "word": " It", "probability": 0.8447265625}, {"start": 557.16, "end": 557.24, "word": " is", "probability": 0.89306640625}, {"start": 557.24, "end": 557.54, "word": " an", "probability": 0.66650390625}, {"start": 557.54, "end": 558.0, "word": " imaginary", "probability": 0.84326171875}, {"start": 558.0, "end": 558.0, "word": " picture", "probability": 0.81103515625}, {"start": 558.0, "end": 559.34, "word": " for", "probability": 0.455810546875}, {"start": 559.34, "end": 559.56, "word": " the", "probability": 0.451904296875}, {"start": 559.56, "end": 559.96, "word": " lens", "probability": 0.421875}, {"start": 559.96, "end": 560.48, "word": " number", "probability": 0.63671875}, {"start": 560.48, "end": 561.0, "word": " one", "probability": 0.57470703125}, {"start": 561.0, "end": 561.54, "word": " and", "probability": 0.79150390625}, {"start": 561.54, "end": 561.62, "word": " at", "probability": 0.8427734375}, {"start": 561.62, "end": 561.88, "word": " the", "probability": 0.93310546875}, {"start": 561.88, "end": 561.88, "word": " same", "probability": 0.91064453125}, {"start": 561.88, "end": 562.26, "word": " time", "probability": 0.87646484375}, {"start": 562.26, "end": 562.48, "word": " a", "probability": 0.3720703125}, {"start": 562.48, "end": 562.8, "word": " body", "probability": 0.80517578125}, {"start": 562.8, "end": 563.98, "word": " for", "probability": 0.374267578125}, {"start": 563.98, "end": 564.82, "word": " the", "probability": 0.7099609375}, {"start": 564.82, "end": 565.2, "word": " lens", "probability": 0.802734375}, {"start": 565.2, "end": 566.4, "word": " number", "probability": 0.92724609375}, {"start": 566.4, "end": 567.02, "word": " two.", "probability": 0.93212890625}, {"start": 567.1, "end": 567.26, "word": " That", "probability": 0.380859375}, {"start": 567.26, "end": 567.3, "word": " is", "probability": 0.57421875}, {"start": 567.3, "end": 567.38, "word": " why", "probability": 0.93017578125}, {"start": 567.38, "end": 567.76, "word": " we", "probability": 0.92724609375}, {"start": 567.76, "end": 568.04, "word": " drew", "probability": 0.8291015625}, {"start": 568.04, "end": 568.44, "word": " it", "probability": 0.7705078125}, {"start": 568.44, "end": 568.86, "word": " in", "probability": 0.8515625}, {"start": 568.86, "end": 569.18, "word": " two", "probability": 0.89404296875}, {"start": 569.18, "end": 569.18, "word": " colors", "probability": 0.8662109375}, {"start": 569.18, "end": 569.32, "word": " and", "probability": 0.630859375}, {"start": 569.32, "end": 569.52, "word": " this", "probability": 0.34814453125}, {"start": 569.52, "end": 569.68, "word": " is", "probability": 0.40380859375}, {"start": 569.68, "end": 569.72, "word": " how", "probability": 0.82958984375}, {"start": 569.72, "end": 569.94, "word": " the", "probability": 0.7548828125}, {"start": 569.94, "end": 570.28, "word": " issue", "probability": 0.481689453125}, {"start": 570.28, "end": 570.28, "word": " ended", "probability": 0.537109375}, {"start": 570.28, "end": 570.82, "word": " and", "probability": 0.436767578125}, {"start": 570.82, "end": 570.98, "word": " may", "probability": 0.390625}, {"start": 570.98, "end": 570.98, "word": " Allah", "probability": 0.498046875}, {"start": 570.98, "end": 571.06, "word": " bless", "probability": 0.358154296875}, {"start": 571.06, "end": 571.24, "word": " you", "probability": 0.89501953125}, {"start": 571.24, "end": 571.6, "word": " all.", "probability": 0.447998046875}, {"start": 571.68, "end": 572.28, "word": " Assalamualaikum", "probability": 0.683642578125}, {"start": 572.28, "end": 573.08, "word": " warahmatullahi", "probability": 0.79072265625}, {"start": 573.08, "end": 573.86, "word": " wabarakatuh.", "probability": 0.91220703125}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 574.1830625, "duration_after_vad": 541.9193750000004}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Ep-c1SfnZDY.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Ep-c1SfnZDY.srt
new file mode 100644
index 0000000000000000000000000000000000000000..19eb239cebbad30eabedad525f661d7008f52cdb
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Ep-c1SfnZDY.srt
@@ -0,0 +1,2134 @@
+
+1
+00:00:01,690 --> 00:00:04,610
+بسم الله الرحمن الرحيم، بنواصل مع محاضرات الـ
+
+2
+00:00:04,610 --> 00:00:10,570
+Geometric Optics، واتوقفنا عند الطرق اللي بقدر
+
+3
+00:00:10,570 --> 00:00:14,510
+أعبّر فيها عن الـ Spherical and Cylindrical Lens،
+
+4
+00:00:14,510 --> 00:00:19,290
+أو ال Powers، تاعة ال Meridians، تاعة ال Spherical
+
+5
+00:00:19,290 --> 00:00:22,470
+and Cylindrical Lens، إذن the Powers،in the
+
+6
+00:00:22,470 --> 00:00:25,570
+principal meridians and cylindrical axes of sphero
+
+7
+00:00:25,570 --> 00:00:28,990
+cylindrical lenses may be specified in several
+
+8
+00:00:28,990 --> 00:00:35,410
+ways يعني ممكن أعبر عنهم أو أكتبهم بطرق متعددة أول
+
+9
+00:00:35,410 --> 00:00:38,430
+طريقة بيسموها ال power cross the common graphical
+
+10
+00:00:38,430 --> 00:00:42,950
+method is called power cross يعني بعدي برسم power
+
+11
+00:00:42,950 --> 00:00:52,120
+cross هيرسمنا power crosswe can draw it like this
+
+12
+00:00:52,120 --> 00:01:08,540
+for example meridian of 90 and meridian of 180 and
+
+13
+00:01:08,540 --> 00:01:13,060
+write here for example plus 3 and plus 1 plus 3
+
+14
+00:01:13,060 --> 00:01:17,700
+and plus 1 of course plus 3 is more
+
+15
+00:01:29,280 --> 00:01:34,840
+and here plus one, this is better so
+
+16
+00:01:34,840 --> 00:01:38,600
+this
+
+17
+00:01:38,600 --> 00:01:43,030
+is called power crossThe word power across means
+
+18
+00:01:43,030 --> 00:01:46,830
+that it defines the power of each meridian. What
+
+19
+00:01:46,830 --> 00:01:49,210
+does it mean plus three diopter of the vertical
+
+20
+00:01:49,210 --> 00:01:51,770
+meridian or meridian ninety? It means that this
+
+21
+00:01:51,770 --> 00:01:54,550
+meridian ninety, when rays enter from it, from
+
+22
+00:01:54,550 --> 00:01:57,570
+this meridian, it is as if it entered from a plus
+
+23
+00:01:57,570 --> 00:02:00,190
+three diopter lens. It is as if it entered from a
+
+24
+00:02:00,190 --> 00:02:01,950
+sphere lens, but this is specific to this
+
+25
+00:02:01,950 --> 00:02:05,930
+meridian. The rays that enter from the horizontal
+
+26
+00:02:05,930 --> 00:02:09,430
+meridian are as if they entered from a plus one
+
+27
+00:02:09,430 --> 00:02:12,430
+lens.Of course, the meridians between them, their
+
+28
+00:02:12,430 --> 00:02:15,070
+forces are gradually rising in this direction,
+
+29
+00:02:15,250 --> 00:02:18,750
+here plus one and a half, plus two, plus three,
+
+30
+00:02:18,870 --> 00:02:22,170
+plus two and a half, plus three, or decreasing in
+
+31
+00:02:22,170 --> 00:02:25,570
+this direction, that is, each meridian acts as a
+
+32
+00:02:25,570 --> 00:02:26,690
+sphere by itself
+
+33
+00:02:49,090 --> 00:02:52,310
+across is a drone oriented in the principal
+
+34
+00:02:52,310 --> 00:02:52,970
+meridians
+
+35
+00:02:56,620 --> 00:03:00,780
+the first line in the cross is parallel to the
+
+36
+00:03:00,780 --> 00:03:06,240
+first line in the cross and the second line is
+
+37
+00:03:06,240 --> 00:03:06,420
+perpendicular to the first line in the cross and
+
+38
+00:03:06,420 --> 00:03:09,480
+the second line is perpendicular to the first line
+
+39
+00:03:09,480 --> 00:03:12,880
+in the cross and
+
+40
+00:03:12,880 --> 00:03:13,200
+the second line is perpendicular to the first line
+
+41
+00:03:13,200 --> 00:03:15,180
+in the cross and the second line is perpendicular
+
+42
+00:03:15,180 --> 00:03:16,020
+to the first line in the cross and the second line
+
+43
+00:03:16,020 --> 00:03:16,500
+is perpendicular to the first line in the cross
+
+44
+00:03:16,500 --> 00:03:17,800
+and the second line is perpendicular to the first
+
+45
+00:03:17,800 --> 00:03:19,280
+line in the cross and the second line is
+
+46
+00:03:19,280 --> 00:03:21,760
+perpendicular to the first line in the cross and
+
+47
+00:03:21,760 --> 00:03:22,200
+the second line is perpendicular to the first line
+
+48
+00:03:22,200 --> 00:03:23,060
+in the cross and the second line is perpendicular
+
+49
+00:03:23,060 --> 00:03:25,560
+to the first line in the cross and the second line
+
+50
+00:03:25,560 --> 00:03:25,580
+line in the cross and the second line is
+
+51
+00:03:25,580 --> 00:03:25,600
+the second line is perpendicular to the first line
+
+52
+00:03:25,600 --> 00:03:33,670
+line in the cross andso meridian at 120 degrees
+
+53
+00:03:33,670 --> 00:03:37,530
+and meridian at 30 degrees depending on which
+
+54
+00:03:37,530 --> 00:03:40,290
+meridian is stronger or weaker but it is very
+
+55
+00:03:40,290 --> 00:03:43,410
+important that the angle between the stronger and
+
+56
+00:03:43,410 --> 00:03:45,830
+weaker meridian is 90 degrees
+
+57
+00:03:54,000 --> 00:03:57,500
+A cross is a drone oriented in the principal
+
+58
+00:03:57,500 --> 00:04:01,340
+meridians and
+
+59
+00:04:01,340 --> 00:04:06,260
+each arm of the cross is labeled with the power
+
+60
+00:04:06,260 --> 00:04:07,860
+acting in that meridian.
+
+61
+00:04:20,510 --> 00:04:24,690
+plus one, we write plus one, minus four, we write
+
+62
+00:04:24,690 --> 00:04:27,270
+minus four, as much as the power of this meridian,
+
+63
+00:04:27,310 --> 00:04:30,650
+the meridian can work as a plus lens, or the
+
+64
+00:04:30,650 --> 00:04:34,090
+meridian can work as a minus lens, as a minus
+
+65
+00:04:34,090 --> 00:04:40,700
+lens, so the first way of expressionIt's the way
+
+66
+00:04:40,700 --> 00:04:44,560
+of power across This describes the spherical and
+
+67
+00:04:44,560 --> 00:04:48,660
+cylindrical down The second way is called the
+
+68
+00:04:48,660 --> 00:04:53,640
+combined cylindrical form The
+
+69
+00:04:53,640 --> 00:05:00,160
+same power cross If I find this meridian strength
+
+70
+00:05:00,160 --> 00:05:03,860
+plus one and this meridian strength plus threeI
+
+71
+00:05:03,860 --> 00:05:07,480
+want to come to the spherical-cylindrical lens and
+
+72
+00:05:07,480 --> 00:05:11,820
+compensate for it with two cylinders. So that the
+
+73
+00:05:11,820 --> 00:05:16,380
+force at the vertical meridian is Q2 plus 3 and
+
+74
+00:05:16,380 --> 00:05:19,940
+the horizontal meridian is Q2 plus 1. Look at this
+
+75
+00:05:19,940 --> 00:05:26,900
+view. This is the planocylindrical lens.
+
+76
+00:05:27,440 --> 00:05:29,040
+Planocylindrical lens
+
+77
+00:05:41,850 --> 00:05:44,810
+Planoconvex lens which is cylindrical lens plus
+
+78
+00:05:44,810 --> 00:05:47,790
+cylindrical lens which is painted in white The
+
+79
+00:05:47,790 --> 00:05:51,350
+axis is horizontal, so its force is vertical This
+
+80
+00:05:51,350 --> 00:05:54,610
+force must be plus three diopters to give me a
+
+81
+00:05:54,610 --> 00:05:58,890
+vertical effect plus three diopters So I say here
+
+82
+00:05:58,890 --> 00:06:02,010
+Spherocylindrical
+
+83
+00:06:02,010 --> 00:06:05,910
+lens which we saw in this exampleand the vertical
+
+84
+00:06:05,910 --> 00:06:08,910
+meridian is plus 3 and the horizontal meridian is
+
+85
+00:06:08,910 --> 00:06:12,050
+plus 1 I can express them in the combined
+
+86
+00:06:12,050 --> 00:06:16,410
+cylindrical form meaning two cylinders together I
+
+87
+00:06:16,410 --> 00:06:21,650
+put in front of the patient's eye a cylindrical
+
+88
+00:06:21,650 --> 00:06:24,990
+lens of course plano cylindrical meaning that the
+
+89
+00:06:24,990 --> 00:06:31,260
+sphere has zero on plus threewhere is the axis?
+
+90
+00:06:31,780 --> 00:06:34,360
+this is the axis of the cylinder 180 degrees to
+
+91
+00:06:34,360 --> 00:06:40,480
+affect 90 degrees and also it has plan and convex
+
+92
+00:06:40,480 --> 00:06:47,780
+lens with power plus one plus one diopter cylinder
+
+93
+00:06:47,780 --> 00:06:51,820
+in
+
+94
+00:06:51,820 --> 00:06:58,770
+axis 90 degrees in axis 90 degreesنعمل بس ال
+
+95
+00:06:58,770 --> 00:07:07,150
+degree نعمل إدراج و
+
+96
+00:07:07,150 --> 00:07:16,170
+هنا نعملها نفس الشيء
+
+97
+00:07:16,170 --> 00:07:20,730
+ما
+
+98
+00:07:20,730 --> 00:07:24,450
+معنى هذا الكلام؟ معنى هذا الكلام
+
+99
+00:07:27,030 --> 00:07:32,310
+is if you bring a planoconvex cylinder which is
+
+100
+00:07:32,310 --> 00:07:36,850
+written in white color and you put its axis on 180
+
+101
+00:07:36,850 --> 00:07:42,370
+the maximum power will be 90 what is the maximum
+
+102
+00:07:42,370 --> 00:07:46,590
+power? it is plus 3 so meridian will have 90 and
+
+103
+00:07:46,590 --> 00:07:50,670
+its force will be plus 3 and if you bring with it
+
+104
+00:07:50,670 --> 00:07:56,290
+also in front or behind plus 1diopter cylinder
+
+105
+00:07:56,290 --> 00:07:59,810
+liplano convex its power is plus one diopter I put
+
+106
+00:07:59,810 --> 00:08:05,030
+its axis which is drawn in red I put its axis on
+
+107
+00:08:05,030 --> 00:08:09,550
+ninety its maximum power which is plus one will be
+
+108
+00:08:09,550 --> 00:08:13,150
+one hundred and eighty this means that I have
+
+109
+00:08:13,150 --> 00:08:16,070
+meridian ninety its power is plus three and
+
+110
+00:08:16,070 --> 00:08:18,730
+meridian one hundred and eighty its power is plus
+
+111
+00:08:18,730 --> 00:08:22,470
+one so instead of expressing by power across I say
+
+112
+00:08:23,140 --> 00:08:27,480
+Sphero-cylindrical lens are two cylinders
+
+113
+00:08:27,480 --> 00:08:33,780
+perpendicular to each other's axes
+
+114
+00:08:33,780 --> 00:08:38,960
+So this is another way to express the sphero
+
+115
+00:08:38,960 --> 00:08:43,420
+-cylindrical lens Here, the power of the cross
+
+116
+00:08:43,420 --> 00:08:47,060
+represents the force of each meridian Here is
+
+117
+00:08:47,060 --> 00:08:50,900
+another form of expression which is the combined
+
+118
+00:08:50,900 --> 00:08:57,160
+cylindrical formThe third shape is the most common
+
+119
+00:08:57,160 --> 00:08:59,760
+shape, which is the spherical cylindrical form.
+
+120
+00:09:02,280 --> 00:09:06,120
+Instead of putting two cylinders, I put a sphere
+
+121
+00:09:06,120 --> 00:09:08,720
+with a cylinder, and in the end it will be the
+
+122
+00:09:08,720 --> 00:09:12,880
+same result. The result says that the force of the
+
+123
+00:09:12,880 --> 00:09:16,280
+meridian 90 must be plus 3, and the force of the
+
+124
+00:09:16,280 --> 00:09:18,740
+meridian 180 must be plus 1.
+
+125
+00:09:21,830 --> 00:09:25,110
+The spherical cylindrical form is what? The
+
+126
+00:09:25,110 --> 00:09:27,890
+spherical cylindrical form is that I want to bring
+
+127
+00:09:27,890 --> 00:09:31,030
+a spherical lens. Why? Because I want to put the
+
+128
+00:09:31,030 --> 00:09:34,510
+blue circle in front of the patient's eye plus one
+
+129
+00:09:34,510 --> 00:09:37,590
+diopter. What does plus one diopter mean? It means
+
+130
+00:09:37,590 --> 00:09:41,790
+that each meridian of its meridian is plus one.
+
+131
+00:09:42,150 --> 00:09:44,170
+The horizontal meridian is plus one and the
+
+132
+00:09:44,170 --> 00:09:48,090
+vertical meridian is plus one. When we put a
+
+133
+00:09:48,090 --> 00:09:51,080
+spherical lens in front of the eyeThe power of the
+
+134
+00:09:51,080 --> 00:09:54,200
+spherical lens is equal in all meridians. What is
+
+135
+00:09:54,200 --> 00:09:57,420
+the horizontal meridian? As if I gave it plus one
+
+136
+00:09:59,110 --> 00:10:01,650
+And the vertical meridian gave it plus one, and
+
+137
+00:10:01,650 --> 00:10:03,450
+what's between them, but what's between them is
+
+138
+00:10:03,450 --> 00:10:07,110
+not necessary to clarify the issue So when I put
+
+139
+00:10:07,110 --> 00:10:09,390
+plus one in the diopter sphere, then the
+
+140
+00:10:09,390 --> 00:10:12,050
+horizontal meridian gave it plus one, and the
+
+141
+00:10:12,050 --> 00:10:15,930
+vertical meridian gave it plus one Okay, the
+
+142
+00:10:15,930 --> 00:10:18,730
+vertical meridian's true force is plus three, how
+
+143
+00:10:18,730 --> 00:10:21,710
+do I make it plus three?We added the sphere to it
+
+144
+00:10:21,710 --> 00:10:23,930
+and it became plus one, but it's missing two. We
+
+145
+00:10:23,930 --> 00:10:27,230
+also need to add two to it. We also need to add
+
+146
+00:10:27,230 --> 00:10:29,970
+two to it. How do we add two to it? In the
+
+147
+00:10:29,970 --> 00:10:34,390
+following way, we put a cylinder with its axis at
+
+148
+00:10:34,390 --> 00:10:37,630
+180 degrees so that its force becomes 90 degrees.
+
+149
+00:10:40,250 --> 00:10:45,630
+Plus 2 diopter, Planoconvex,
+
+150
+00:10:45,910 --> 00:10:51,310
+Axis is 180 because its effect is 90 At the
+
+151
+00:10:51,310 --> 00:10:55,890
+sphere, its force is equal to plus 1 diopter, so
+
+152
+00:10:55,890 --> 00:11:00,670
+all meridians take plus 1 diopterIt is the rays
+
+153
+00:11:00,670 --> 00:11:02,650
+that will enter from the horizontal meridian to
+
+154
+00:11:02,650 --> 00:11:06,150
+the sphere It will enter from a plus one diopter
+
+155
+00:11:06,150 --> 00:11:08,130
+lens And the rays that will enter from the
+
+156
+00:11:08,130 --> 00:11:11,990
+vertical meridian will also enter from a meridian
+
+157
+00:11:11,990 --> 00:11:15,110
+with a force plus one diopter And any axis between
+
+158
+00:11:15,110 --> 00:11:18,210
+them also has a force as if it is a plus one
+
+159
+00:11:18,210 --> 00:11:21,650
+diopter lens This is for the sphere For the
+
+160
+00:11:21,650 --> 00:11:24,950
+cylinder, if we put its axis on one hundred and
+
+161
+00:11:24,950 --> 00:11:28,760
+eighty, its force is one hundred and eighty zeroit
+
+162
+00:11:28,760 --> 00:11:31,440
+will not affect 180, it will not add to this plus
+
+163
+00:11:31,440 --> 00:11:34,800
+one anything while all its force is out of its
+
+164
+00:11:34,800 --> 00:11:40,400
+axis at 180 its maximum power will be at 90 its
+
+165
+00:11:40,400 --> 00:11:44,540
+maximum power is plus two, so the vertical
+
+166
+00:11:44,540 --> 00:11:48,320
+meridian will be plus two and there is plus one
+
+167
+00:11:48,320 --> 00:11:52,920
+with it basically from the spherical lens, so it
+
+168
+00:11:52,920 --> 00:11:57,280
+will line up their groupplus one plus zero plus
+
+169
+00:11:57,280 --> 00:12:00,200
+one this is the axis of the horizontal axis plus
+
+170
+00:12:00,200 --> 00:12:03,780
+one plus two from the cylinder from the plano
+
+171
+00:12:03,780 --> 00:12:07,380
+convex then it will be plus three this is how it
+
+172
+00:12:07,380 --> 00:12:11,040
+is written how do I write this? we write this in
+
+173
+00:12:11,040 --> 00:12:16,400
+writing we give in front of the patient plus one
+
+174
+00:12:16,400 --> 00:12:21,780
+this is the diopterosphere and
+
+175
+00:12:21,780 --> 00:12:29,750
+the cylinder plus twoDiopter cylinder على المحور
+
+176
+00:12:29,750 --> 00:12:33,450
+بتاع السيليندر عشان تأثرلي ع تسعين بتنحط على مية و
+
+177
+00:12:33,450 --> 00:12:39,650
+تمانية اذا هدى هدى للسفير و cylindrical for سفير
+
+178
+00:12:39,650 --> 00:12:49,130
+plus واحد diopter plus واحد diopter سفيرplus 2 is
+
+179
+00:12:49,130 --> 00:12:52,210
+the diameter of a cylinder in the axis 180 in the
+
+180
+00:12:52,210 --> 00:12:57,410
+axis 180 I can write it in another way, yes I can
+
+181
+00:12:57,410 --> 00:13:01,130
+write it in another way, in another way, but
+
+182
+00:13:01,130 --> 00:13:03,190
+sometimes I have to change the direction of the
+
+183
+00:13:03,190 --> 00:13:06,290
+cylinder, and we will get this in due course, God
+
+184
+00:13:06,290 --> 00:13:10,890
+willing. So this is the third form of the forms of
+
+185
+00:13:10,890 --> 00:13:13,250
+expression for the spherical cylindrical, the
+
+186
+00:13:13,250 --> 00:13:19,460
+first formwhich is power cross I can write power
+
+187
+00:13:19,460 --> 00:13:24,150
+crossI can write it in combined cylindrical form,
+
+188
+00:13:24,670 --> 00:13:28,370
+meaning two cylinders together I can write it in
+
+189
+00:13:28,370 --> 00:13:31,950
+spherical cylindrical form, which is the most
+
+190
+00:13:31,950 --> 00:13:35,570
+common form Or I can express it in spherical
+
+191
+00:13:35,570 --> 00:13:38,390
+equivalent form, meaning I put a lens in a sphere
+
+192
+00:13:38,390 --> 00:13:42,230
+and I say plus 2 diopter, sphere, why plus 2
+
+193
+00:13:42,230 --> 00:13:45,230
+diopter? We will say, because to get the spherical
+
+194
+00:13:45,230 --> 00:13:51,350
+equivalentI say plus three plus one plus four
+
+195
+00:13:51,350 --> 00:13:53,790
+divided by two which is the average force of the
+
+196
+00:13:53,790 --> 00:13:56,
+
+223
+00:15:29,080 --> 00:15:36,100
+form I have plus 1 by 180 plus 1 by 180 and plus 4
+
+224
+00:15:36,100 --> 00:15:40,240
+in axis 90 When we convert it to power cross
+
+225
+00:15:51,820 --> 00:15:56,900
+this is a cylinder, plus one, its axis is one
+
+226
+00:15:56,900 --> 00:16:00,580
+hundred eighty, so its force is ninety, so plus
+
+227
+00:16:00,580 --> 00:16:02,880
+one works on the axis of ninety
+
+228
+00:16:18,970 --> 00:16:20,950
+I also have a cylinder which is the combined
+
+229
+00:16:20,950 --> 00:16:24,510
+cylinder form plus 4 over 90 as long as the axis
+
+230
+00:16:24,510 --> 00:16:34,890
+is plus 4 over 90 then its force is 108 plus
+
+231
+00:16:34,890 --> 00:16:39,990
+4 diode so I converted the combined cylindrical
+
+232
+00:16:39,990 --> 00:16:43,360
+form to power crossThis is how I converted the
+
+233
+00:16:43,360 --> 00:16:48,660
+Combined Cylindrical Form to Power Cross Now I
+
+234
+00:16:48,660 --> 00:16:58,640
+want to convert it to Power Cross This
+
+235
+00:16:58,640 --> 00:17:04,740
+is 
+
+236
+00:17:04,740 --> 00:17:06,940
+what we did now, we converted the Combined
+
+237
+00:17:06,940 --> 00:17:11,570
+Cylindrical Form to Power Crossnow we want to
+
+238
+00:17:11,570 --> 00:17:15,070
+write or write the combined cylindrical form and 
+
+239
+00:17:15,070 --> 00:17:19,810
+turn it into a spherical cylindrical lens either I
+
+240
+00:17:19,810 --> 00:17:22,790
+turn it into a power cross or I turn it into a
+
+241
+00:17:22,790 --> 00:17:25,270
+combined cylindrical form but into a power cross
+
+242
+00:17:25,270 --> 00:17:28,530
+because it's graphical because it's official, it's
+
+243
+00:17:28,530 --> 00:17:32,850
+better for me I need two things either I say as 
+
+244
+00:17:32,850 --> 00:17:34,490
+follows the first picture
+
+245
+00:17:37,440 --> 00:17:39,920
+We take the strongest meridian and say that plus 4
+
+246
+00:17:39,920 --> 00:17:47,500
+is the sphere. When I say that I have plus 4
+
+247
+00:17:47,500 --> 00:17:51,540
+spheres, it means that I gave all the meridians
+
+248
+00:17:51,540 --> 00:17:55,000
+plus 4. This is plus 4 and this is plus 4 and what
+
+249
+00:17:55,000 --> 00:17:57,800
+is between them. It is like a spherical lens, all
+
+250
+00:17:57,800 --> 00:18:01,640
+the meridians have strength plus 4.But the
+
+251
+00:18:01,640 --> 00:18:05,760
+meridian is less than plus 4 How can we make it
+
+252
+00:18:05,760 --> 00:18:09,340
+plus 1? We have to divide it by 3 So we gave them
+
+253
+00:18:09,340 --> 00:18:16,060
+all plus 4 spheres We say plus 4 spheres minus 3
+
+254
+00:18:16,060 --> 00:18:20,400
+But I want the minus 3 to have an effect of 90Its
+
+255
+00:18:20,400 --> 00:18:26,060
+effect is 90, so its axis must be 180 High Sphero
+
+256
+00:18:26,060 --> 00:18:29,660
+Cylindrical Lens Let's do it in the way of power
+
+257
+00:18:29,660 --> 00:18:32,360
+across In the way of power cross, we say as
+
+258
+00:18:32,360 --> 00:18:42,400
+follows In
+
+259
+00:18:42,400 --> 00:18:47,620
+the way of power cross We lower it
+
+260
+00:18:54,120 --> 00:18:55,600
+In order to expand the distance
+
+261
+00:19:24,490 --> 00:19:30,470
+Here we say we took plus 4 and put it as a sphere,
+
+262
+00:19:30,790 --> 00:19:41,770
+which means all meridians were given plus 4 The
+
+263
+00:19:41,770 --> 00:19:43,750
+horizontal meridian and the vertical meridian
+
+264
+00:20:13,770 --> 00:20:16,390
+But we know that the vertical meridian is plus
+
+265
+00:20:16,390 --> 00:20:19,830
+one, not plus four, so we need to adjust it from
+
+266
+00:20:19,830 --> 00:20:24,370
+plus four to plus one So we need to give it
+
+267
+00:20:24,370 --> 00:20:31,030
+planoconcave, meaning cylindrical lens should have 
+
+268
+00:20:31,030 --> 00:20:34,390
+minus cylinder
+
+269
+00:20:47,130 --> 00:20:50,470
+When I put the minus cylinder on 180, its force on
+
+270
+00:20:50,470 --> 00:20:59,630
+180 is zero Of
+
+271
+00:20:59,630 --> 00:21:02,990
+course,
+
+272
+00:21:03,150 --> 00:21:07,190
+the axis is 180, which means that the total force 
+
+273
+00:21:07,190 --> 00:21:10,990
+or the strongest force on it is 90, which is its 
+
+274
+00:21:10,990 --> 00:21:12,130
+force minus three
+
+275
+00:21:15,310 --> 00:21:22,910
+minus 3 diopter In
+
+276
+00:21:22,910 --> 00:21:25,430
+spherical and cylindrical lens, it is as if a
+
+277
+00:21:25,430 --> 00:21:27,830
+sphere has four forces, which are distributed by 
+
+278
+00:21:27,830 --> 00:21:32,050
+each of the four forces, each meridian has four
+
+279
+00:21:32,050 --> 00:21:37,490
+forces. In a cylinder, the axis is 180 degrees,
+
+280
+00:21:37,530 --> 00:21:39,250
+which means that the force of the vertical axis is 
+
+281
+00:21:39,250 --> 00:21:44,140
+minus 3.because it's vertical to the axis when we
+
+282
+00:21:44,140 --> 00:21:45,960
+see the result like this, what happened to me? 
+
+283
+00:21:51,460 --> 00:22:00,860
+the result is equal to the next cross zoom
+
+284
+00:22:00,860 --> 00:22:01,280
+in a little bit below
+
+285
+00:22:15,760 --> 00:22:21,700
+The vertical meridian has a force that acts as if
+
+286
+00:22:21,700 --> 00:22:25,880
+there is a plus 4 in front of it and a minus 3 in 
+
+287
+00:22:25,880 --> 00:22:27,620
+front of it at the same time, so it acts as if
+
+288
+00:22:27,620 --> 00:22:29,980
+there is a plus 1 in front of it as if there is a
+
+289
+00:22:29,980 --> 00:22:39,200
+plus 1 in front of it This is the vertical axis I
+
+290
+00:22:39,200 --> 00:22:43,400
+will write it below the meridian to make it easier 
+
+291
+00:22:43,400 --> 00:22:43,500
+to understand
+
+292
+00:22:46,700 --> 00:22:50,740
+this is a point, the second point here is plus 
+
+293
+00:22:50,740 --> 00:22:55,920
+four plus zero plus four, it remains plus four
+
+294
+00:23:05,030 --> 00:23:08,230
+The same power across, horizontal, plus four, and
+
+295
+00:23:08,230 --> 00:23:10,750
+vertical, plus one I expressed them in 
+
+296
+00:23:10,750 --> 00:23:14,550
+cylindrical, spherical, cylindrical form, but the 
+
+297
+00:23:14,550 --> 00:23:16,990
+cylinder has minus, that's why it's called minus 
+
+298
+00:23:16,990 --> 00:23:20,770
+cylinder form, which is this third line, plus 
+
+299
+00:23:20,770 --> 00:23:24,110
+four, minus three, axis one hundred and eighty Now
+
+300
+00:23:24,110 --> 00:23:27,630
+we want to repeat all this, but we want to make
+
+301
+00:23:27,630 --> 00:23:28,590
+the cylinder plus
+
+302
+00:23:32,150 --> 00:23:34,910
+Here we will leave the sphere, no we have to
+
+303
+00:23:34,910 --> 00:23:43,530
+change it to get the plus cylinder So
+
+304
+00:23:43,530 --> 00:23:48,830
+plus 
+
+305
+00:23:48,830 --> 00:23:55,930
+4 minus 3, axis 180, here we will delete it, here 
+
+306
+00:23:55,930 --> 00:23:57,930
+also delete it 
+
+307
+00:24:01,600 --> 00:24:04,600
+So we expressed it with combined cylindrical form 
+
+308
+00:24:04,600 --> 00:24:09,080
+We expressed it with power cross And we expressed
+
+309
+00:24:09,080 --> 00:24:12,100
+it with spherical cylindrical lens with minus in
+
+310
+00:24:12,100 --> 00:24:14,340
+the cylinder Now we want to express it with 
+
+311
+00:24:14,340 --> 00:24:17,660
+spherical cylindrical lens with plus in the sphere
+
+312
+00:24:17,660 --> 00:24:20,800
+We say that this is the power cross The power 
+
+313
+00:24:20,800 --> 00:24:23,700
+cross is plus one vertical and plus four
+
+314
+00:24:23,700 --> 00:24:27,500
+horizontal I can consider that I want to give a 
+
+315
+00:24:27,500 --> 00:24:30,180
+sphere to all meridians with power plus one 
+
+316
+00:24:37,910 --> 00:24:40,770
+So the vertical meridian took its full size which
+
+317
+00:24:40,770 --> 00:24:44,610
+is plus one, I changed it, it has nothing left For 
+
+318
+00:24:44,610 --> 00:24:47,130
+plus four which is the horizontal meridian, I gave 
+
+319
+00:24:47,130 --> 00:24:50,230
+it plus one, it still has plus three, I want to
+
+320
+00:24:50,230 --> 00:24:53,870
+add plus three to it, we say as follows, let's
+
+321
+00:24:53,870 --> 00:24:55,990
+assume that the sphere is plus one 
+
+322
+00:24:59,710 --> 00:25:03,110
+And I want to add plus 3 to the horizontal axis to
+
+323
+00:25:03,110 --> 00:25:05,450
+make it plus 4, because it's force is actually 
+
+324
+00:25:05,450 --> 00:25:10,290
+plus 4 How do I add plus 3 to it? I bring plano
+
+325
+00:25:10,290 --> 00:25:15,090
+convex plus cylinder and I put its axis on 90, its
+
+326
+00:25:15,090 --> 00:25:20,650
+force will be 180, so plus 3this is what is
+
+327
+00:25:20,650 --> 00:25:23,430
+missing for meridian which has a force of 4 
+
+328
+00:25:23,430 --> 00:25:27,990
+diopters, it took one of the spheres and left 
+
+329
+00:25:27,990 --> 00:25:30,270
+three of them, the three of them, in order to
+
+330
+00:25:30,270 --> 00:25:32,870
+affect it, the axis of the lens of the plus 
+
+331
+00:25:32,870 --> 00:25:38,040
+cylinder must be 90 degrees, then in axis90 as we 
+
+332
+00:25:38,040 --> 00:25:44,100
+see here plus 1 plus 3 axis 90 okay here I say
+
+333
+00:25:44,100 --> 00:25:50,320
+when axis is at 90 it means force is at 180 so 
+
+334
+00:25:50,320 --> 00:25:57,940
+force becomes here at 180 which is plus 3 plus 3
+
+335
+00:25:57,940 --> 00:25:58,660
+diopter
+
+336
+00:26:08,530 --> 00:26:13,730
+So, plus three is negative And 
+
+337
+00:26:13,730 --> 00:26:16,690
+here, as long as the axis of the lens is at ninety 
+
+338
+00:26:16,690 --> 00:26:19,370
+As long as the axis is at ninety, the force at
+
+339
+00:26:19,370 --> 00:26:22,910
+ninety is zero Zero
+
+340
+00:26:32,370 --> 00:26:34,870
+So this is the spherical lens plus one, each
+
+341
+00:26:34,870 --> 00:26:38,130
+meridian is plus one, and this is the cylindrical
+
+342
+00:26:38,130 --> 00:26:41,990
+lens, its axis is ninety, so its total force or
+
+343
+00:26:41,990 --> 00:26:46,490
+maximum power is one hundred and eighty. The
+
+344
+00:26:46,490 --> 00:26:50,910
+result is plus one horizontally with plus three 
+
+345
+00:26:50,910 --> 00:26:53,550
+horizontally, which is plus four, plus four on the 
+
+346
+00:26:53,550 --> 00:26:54,170
+horizontal axis.
+
+347
+00:27:04,260 --> 00:27:09,060
+Plus one plus zero means plus one on the vertical 
+
+348
+00:27:09,060 --> 00:27:15,780
+axis This
+
+349
+00:27:15,780 --> 00:27:18,240
+is how I get the same power across So this 
+
+350
+00:27:18,240 --> 00:27:21,140
+spherical and cylindrical lens is called plus 
+
+351
+00:27:21,140 --> 00:27:25,220
+cylindrical form And the previous one is minus 
+
+352
+00:27:25,220 --> 00:27:30,750
+cylindrical formNow we have the last method which 
+
+353
+00:27:30,750 --> 00:27:35,670
+is the spherical equivalent. I add the two
+
+354
+00:27:35,670 --> 00:27:38,450
+meridians, the weakest and strongest, plus one and 
+
+355
+00:27:38,450 --> 00:27:41,010
+plus four, which is plus five divided by two, plus 
+
+356
+00:27:41,010 --> 00:27:44,130
+two and a half diopter. So I can say that if we
+
+357
+00:27:44,130 --> 00:27:47,490
+bring a sphere plus two diopters, it becomes a
+
+358
+00:27:47,490 --> 00:27:52,570
+spherical and cylindrical lens. We repeat again.To
+
+359
+00:27:52,570 --> 00:27:56,630
+express the astigmatic lens, I either use power
+
+360
+00:27:56,630 --> 00:28:03,230
+cross, combined cylindrical form, or spherical
+
+361
+00:28:03,230 --> 00:28:08,630
+cylindrical form, which is the most common, and
+
+362
+00:28:08,630 --> 00:28:11,510
+there are two forms of it, plus cylindrical form, 
+
+363
+00:28:11,670 --> 00:28:15,710
+which we see here, and minus cylindrical form, 
+
+364
+00:28:15,790 --> 00:28:18,650
+which we explained in the example, or spherical
+
+365
+00:28:18,650 --> 00:28:21,130
+equivalent
+
+366
+00:28:21,710 --> 00:28:27,590
+طبعا هدولة كلهم أشكال لنفس العدسة Remember that or
+
+367
+00:28:27,590 --> 00:28:30,290
+the following example of sphero cylindrical
+
+368
+00:28:30,290 --> 00:28:35,250
+expression are entirely equivalent مكافئين لبعض من
+
+369
+00:28:35,250 --> 00:28:40,530
+البعض بشكل كامل شكل كامل بدنا نتذكر و احنا بنعمل
+
+370
+00:28:40,530 --> 00:28:44,730
+أي شكل من الأشكال الأربعةThe maximum power of a
+
+371
+00:28:44,730 --> 00:28:48,150
+cylinder is in the meridian 90 degrees away from
+
+372
+00:28:48,150 --> 00:28:49,590
+the axis of the cylinder 
+
+373
+00:29:11,390 --> 00:29:17,790
+to avoid errors in transcription it
+
+374
+00:29:17,790 --> 00:29:20,930
+is helpful to notate the axis using all three 
+
+375
+00:29:20,930 --> 00:29:25,430
+digits and dropping the degree notation in other
+
+376
+00:29:25,430 --> 00:29:30,350
+words if you notice the word degree is not written
+
+377
+00:29:30,350 --> 00:29:32,870
+here why is the word degree not written here? we 
+
+378
+00:29:32,870 --> 00:29:34,570
+can lower it and then lower it again
+
+379
+00:29:40,110 --> 00:29:45,770
+نقول ليش احنا مش كاتبينها أحيانا
+
+380
+00:29:45,770 --> 00:29:48,970
+الإنسان مع السرع بيكتب كلمة degree بس بتكبر معاه 
+
+381
+00:29:48,970 --> 00:29:54,190
+شوية الحجم بتاعها فمثلا على سبيل المثال، بدي أكتب 
+
+382
+00:29:54,190 --> 00:29:58,670
+axis 11 و 
+
+383
+00:29:58,670 --> 00:30:06,240
+degree على سبيل المثال degreeيعني ال .. ال
+
+384
+00:30:06,240 --> 00:30:09,660
+cylinder بده أحطها على degree .. على أحداشر degree 
+
+385
+00:30:09,660 --> 00:30:14,840
+أو خلينا نقول على عشرةon the axis of 10, the axis
+
+386
+00:30:14,840 --> 00:30:17,840
+of the cylinder on the axis of 10 and it was
+
+387
+00:30:17,840 --> 00:30:22,760
+written 10 degree and the circles of the degree
+
+388
+00:30:22,760 --> 00:30:26,580
+became not 10 but 100 so sometimes who wants to 
+
+389
+00:30:26,580 --> 00:30:30,880
+implement this recipe of the glasses will have a
+
+390
+00:30:30,880 --> 00:30:34,640
+problem he will make the axis on 100 not on 10
+
+391
+00:30:34,640 --> 00:30:38,440
+which means the axis is wrongتماما access خطأ بشكل 
+
+392
+00:30:38,440 --> 00:30:43,120
+كامل فبالتالي الأفضل انه انا بستعمل three digits
+
+393
+00:30:43,120 --> 00:30:48,060
+أرقام ثلاثية لكل عدسة من العدسات ال .. ال .. و 
+
+394
+00:30:48,060 --> 00:30:52,040
+بالتالي ب .. الأفضل انه ماكتبش كلمة degree مفهومة
+
+395
+00:30:52,040 --> 00:30:58,200
+انه degree and 
+
+396
+00:30:58,200 --> 00:31:03,780
+dropping the degree notationI write axis from
+
+397
+00:31:03,780 --> 00:31:09,500
+three numbers and I don't write degree So it's 
+
+398
+00:31:09,500 --> 00:31:13,420
+better than to write it and make a mistake in
+
+399
+00:31:13,420 --> 00:31:16,800
+pronouncing it Now we come to transposition 
+
+400
+00:31:16,800 --> 00:31:22,980
+Transposition means to change the plus cylindrical
+
+401
+00:31:22,980 --> 00:31:27,080
+form to the minus cylindrical form Or vice versa, 
+
+402
+00:31:27,200 --> 00:31:29,940
+from minus cylindrical form to plus cylindrical
+
+403
+00:31:29,940 --> 00:31:35,510
+formin the spherocylindrical lens We said that the
+
+404
+00:31:35,510 --> 00:31:38,970
+spherocylindrical form is the most common The
+
+405
+00:31:38,970 --> 00:31:42,570
+spherocylindrical form is the most common How do I 
+
+406
+00:31:42,570 --> 00:31:45,550
+change the plus cylindrical form to minus
+
+407
+00:31:45,550 --> 00:31:50,030
+cylindrical form Or the minus cylindrical form to 
+
+408
+00:31:50,030 --> 00:31:53,930
+plus cylindrical form I have an example here I 
+
+409
+00:31:53,930 --> 00:31:59,530
+have this minus cylindrical formThis is minus 
+
+410
+00:31:59,530 --> 00:32:03,710
+cylindrical form I want to turn it into plus 
+
+411
+00:32:03,710 --> 00:32:11,270
+cylindrical form I have two ways The first way is 
+
+412
+00:32:11,270 --> 00:32:16,110
+to turn this minus cylindrical form into power
+
+413
+00:32:16,110 --> 00:32:21,170
+cross And from the power cross I extract the other 
+
+414
+00:32:21,170 --> 0
+
+445
+00:34:22,520 --> 00:34:25,360
+Because it's a sphere. Its force is distributed 
+
+446
+00:34:25,360 --> 00:34:27,120
+equally over all the meridians.
+
+447
+00:34:32,130 --> 00:34:37,090
+He put 4. Ok. I have a cylinder of minus 2 and its
+
+448
+00:34:37,090 --> 00:34:41,110
+axis is 90 degrees. So its force is 180 degrees.
+
+449
+00:34:41,150 --> 00:34:42,730
+So here also minus 2.
+
+450
+00:34:45,470 --> 00:34:55,240
+Minus 2. Ok. So this axis affects only plus 4, and 
+
+451
+00:34:55,240 --> 00:34:58,560
+this axis affects from the sphere plus 4 and from 
+
+452
+00:34:58,560 --> 00:35:02,840
+the cylinder minus 2, plus 4 and minus 2 gives me 
+
+453
+00:35:02,840 --> 00:35:09,000
+plus 2. Or
+
+454
+00:35:09,000 --> 00:35:11,720
+I can say directly
+
+455
+00:35:17,420 --> 00:35:21,640
+this is my plus 4, we put it on the mentioned axis
+
+456
+00:35:21,640 --> 00:35:28,880
+and minus 2 which is less than 4 by 2, the axis is
+
+457
+00:35:28,880 --> 00:35:32,480
+180. Why? Because minus 2 by 90 has an effect on 
+
+458
+00:35:32,480 --> 00:35:37,280
+180. Now we haven't finished yet, we have converted
+
+459
+00:35:37,280 --> 00:35:41,860
+one of the forms to power cross, now from the power 
+
+460
+00:35:41,860 --> 00:35:45,080
+cross I have to extract the other form, I look here
+
+461
+00:35:45,960 --> 00:35:49,020
+Plus four, if I take the plus four, it will appear 
+
+462
+00:35:49,020 --> 00:35:52,120
+with me again the same thing. As long as here in
+
+463
+00:35:52,120 --> 00:35:54,380
+the initial form, the sphere is plus four, this 
+
+464
+00:35:54,380 --> 00:35:58,320
+time I want to take the sphere plus two. The sphere 
+
+465
+00:35:58,320 --> 00:36:02,480
+plus two, Okay, plus two means here plus two and 
+
+466
+00:36:02,480 --> 00:36:06,260
+here plus two. Okay, but here plus four means I
+
+467
+00:36:06,260 --> 00:36:10,740
+want above two another two فبحطلها سلندر plus 2 ع
+
+468
+00:36:10,740 --> 00:36:16,380
+180 عشان اتأثر على 90 عشان اتأثر على 90 يعني بنقول 
+
+469
+00:36:16,380 --> 00:36:24,220
+سفير plus 2 إذا هنا plus 2 هنا خلّيني نشطبها و هنا 
+
+470
+00:36:24,220 --> 00:36:26,920
+كمان plus 2 لأنه السفير عندي plus 2 
+
+471
+00:36:32,770 --> 00:36:36,770
+But I know that the vertical axis is plus four. So
+
+472
+00:36:36,770 --> 00:36:40,770
+it needs two more. So we get a cylinder with its
+
+473
+00:36:40,770 --> 00:36:43,990
+axis at one hundred and eighty. Its force is plus 
+
+474
+00:36:43,990 --> 00:36:47,190
+two to its force at ninety. So it becomes plus two
+
+475
+00:36:47,190 --> 00:36:56,330
+and plus two, I have plus four and plus two. So plus 
+
+476
+00:36:56,330 --> 00:36:59,570
+two plus two is one hundred and eighty. So I
+
+477
+00:36:59,570 --> 00:37:00,850
+convert to power cross
+
+478
+00:37:08,980 --> 00:37:14,400
+and from power cross I get the 
+
+479
+00:37:14,400 --> 00:37:20,080
+other form of cylinder, so this is the first way
+
+480
+00:37:20,080 --> 00:37:25,460
+first way I change the form. I have to power cross
+
+481
+00:37:25,460 --> 00:37:30,720
+and from power cross I get the other form in power
+
+482
+00:37:30,720 --> 00:37:34,080
+cross. To change it quickly I say sphere, I put it 
+
+483
+00:37:34,080 --> 00:37:39,250
+on the existing axis, and I say either the cylinder 
+
+484
+00:37:39,250 --> 00:37:41,610
+decreases or increases, decreases if the sign is 
+
+485
+00:37:41,610 --> 00:37:45,910
+minus from the sphere, so plus 4 we put it on 90
+
+486
+00:37:45,910 --> 00:37:48,790
+because 90 is what I have mentioned and I say the 
+
+487
+00:37:48,790 --> 00:37:51,990
+other meridian which is meridian 180, how did I 
+
+488
+00:37:51,990 --> 00:37:54,270
+know that it is 180, because it is away from the
+
+489
+00:37:54,270 --> 00:37:57,290
+first meridian that I specified which is 90, it is
+
+490
+00:37:57,290 --> 00:38:01,520
+90 degrees away, the other meridian which is 180 
+
+491
+00:38:01,520 --> 00:38:06,960
+minus 2 from plus 4, which is plus 2, if it was plus 
+
+492
+00:38:06,960 --> 00:38:10,540
+here, we say that the other meridian is plus 2
+
+493
+00:38:10,540 --> 00:38:16,440
+from plus 4, we change it to power cross. I take the 
+
+494
+00:38:16,440 --> 00:38:19,960
+sphere of the last meridian that we got and I put
+
+495
+00:38:19,960 --> 00:38:22,600
+it as the sphere and I say that the other meridian
+
+496
+00:38:22,600 --> 00:38:28,580
+is plus 2 from it on an axis. I deal with this 
+
+497
+00:38:28,580 --> 00:38:32,420
+meridian that I want to increase. There is another 
+
+498
+00:38:32,420 --> 00:38:36,760
+way, which is the most commonly used and easiest 
+
+499
+00:38:36,760 --> 00:38:42,620
+way to make a transposition. I add the cylinder 
+
+500
+00:38:42,620 --> 00:38:48,280
+with its sign to the sphere. Then I change the sign
+
+501
+00:38:48,280 --> 00:38:51,500
+of the cylinder and I turn the axis 90 degrees. 
+
+502
+00:38:51,500 --> 00:38:57,860
+Let's see how this works. We say as follows, we have 
+
+503
+00:38:57,860 --> 00:39:01,880
+minus 2, I want to add it to plus 4, so I have 
+
+504
+00:39:01,880 --> 00:39:07,520
+plus 2, this is the new sphere, this is the new 
+
+505
+00:39:07,520 --> 00:39:12,720
+sphere. Okay, I want to change the sign of the
+
+506
+00:39:12,720 --> 00:39:18,040
+cylinder to plus 2, I 
+
+507
+00:39:18,040 --> 00:39:23,000
+want to change the axis to 90 degrees, it is 90, so 
+
+508
+00:39:23,000 --> 00:39:27,570
+it will become 180, so notice, the method is very 
+
+509
+00:39:27,570 --> 00:39:30,310
+easy, plus two plus two is one hundred and eighty
+
+510
+00:39:30,310 --> 00:39:33,650
+plus two plus two is one hundred and eighty. So in 
+
+511
+00:39:33,650 --> 00:39:37,490
+three very fast steps, I add the cylinder to the
+
+512
+00:39:37,490 --> 00:39:40,770
+sphere, the first step, I add the cylinder to the
+
+513
+00:39:40,770 --> 00:39:44,170
+sphere, all with signs, and we add a plural with 
+
+514
+00:39:44,170 --> 00:39:48,270
+signs, minus two and plus four, so I have plus two
+
+515
+00:39:48,270 --> 00:39:51,090
+The second step, this sign is minus, I want to
+
+516
+00:39:51,090 --> 00:39:54,100
+turn it into plus. The third thing is that I need to
+
+517
+00:39:54,100 --> 00:40:01,000
+change the axis 90 degrees. The axis needs to
+
+518
+00:40:01,000 --> 00:40:04,520
+change 90 degrees, if it was 90 it became 180
+
+519
+00:40:04,520 --> 00:40:07,860
+degrees. If this needs to do the same thing, I need 
+
+520
+00:40:07,860 --> 00:40:10,440
+to do the transposition to change it to minus form
+
+521
+00:40:10,440 --> 00:40:16,160
+and not plus form. The cylinder and the sphere
+
+522
+00:40:29,110 --> 00:40:31,530
+Cylinder and sphere, we add them together, plus 2
+
+523
+00:40:31,530 --> 00:40:36,250
+and plus 2, I get plus 4. This is the new sphere. Now
+
+524
+00:40:36,250 --> 00:40:40,360
+I change the sign of the cylinder to minus 2 and 
+
+525
+00:40:40,360 --> 00:40:46,160
+the axis 180 need to move 90, of course, any axis 
+
+526
+00:40:46,160 --> 00:40:50,920
+above 90, we move 90 of it. Any axis above 90, 91,
+
+527
+00:40:51,500 --> 00:40:56,860
+92, 100, 110, 120, 170, 180, we move 90 of it, it 
+
+528
+00:40:56,860 --> 00:40:59,880
+becomes 90 for me, when I move 180, I move 90 of 
+
+529
+00:40:59,880 --> 00:41:02,700
+it, so I have become
+
+530
+00:41:06,390 --> 00:41:10,290
+plus four minus two axis ninety degree, plus four 
+
+531
+00:41:10,290 --> 00:41:18,410
+minus two axis ninety degree, plus four minus two 
+
+532
+00:41:18,410 --> 00:41:22,730
+axis ninety degree, plus four minus two axis ninety
+
+533
+00:41:22,730 --> 00:41:23,490
+degree, plus four minus two axis ninety degree plus
+
+534
+00:41:23,490 --> 00:41:23,830
+four minus two axis ninety degree plus four minus 
+
+535
+00:41:23,830 --> 00:41:24,990
+two axes ninety degree, plus four minus two axes
+
+536
+00:41:24,990 --> 00:41:25,150
+ninety degree, plus four minus two axes ninety
+
+537
+00:41:25,150 --> 00:41:25,350
+degree, plus four minus two axes ninety degree plus
+
+538
+00:41:25,350 --> 00:41:26,550
+four minus two axes ninety degree, plus four minus 
+
+539
+00:41:26,550 --> 00:41:30,070
+two axes ninety degree, plus four minus two axes 
+
+540
+00:41:30,070 --> 00:41:32,570
+ninety degree, plus four minus two axes ninety
+
+541
+00:41:32,570 --> 00:41:33,870
+degree, plus four minus two axes ninety degree plus
+
+542
+00:41:33,870 --> 00:41:33,990
+two axes ninety degree, plus four minus two axes
+
+543
+00:41:33,990 --> 00:41:34,730
+ninety degree, plus four minus two axes ninety
+
+544
+00:41:34,730 --> 00:41:34,770
+axes ninety degree, plus two axes ninety degree
+
+545
+00:41:34,770 --> 00:41:40,020
+plus two axes ninety.  أن انا ب .. اعمل transposition
+
+546
+00:41:40,020 --> 00:41:44,720
+أو يعني تحويل من form ل form تاني بتلت خطوات سريع
+
+547
+00:41:44,720 --> 00:41:48,820
+ال cylinder بضيفه ل ال sphere بإشارته طبعا بطلع 
+
+548
+00:41:48,820 --> 00:41:53,210
+عندى ل new sphere, بغير إشارة ال cylinder بطلع عندى 
+
+549
+00:41:53,210 --> 00:41:57,350
+ل new cylinder و بحول المحور تسعين درجة بحول
+
+550
+00:41:57,350 --> 00:42:01,830
+المحور تسعين درجة طبعا ضرورى هذا الكلام يكون يعني
+
+551
+00:42:01,830 --> 00:42:11,130
+واضح هنا واضح طب نشوف هنا عندنا مثال آخر نبدأ 
+
+552
+00:42:11,130 --> 00:42:15,510
+في حلو المثال 
+
+553
+00:42:15,510 --> 00:42:20,960
+بيقول plus خمسة minus ستة axis مية و تلاتين. Plus
+
+554
+00:42:20,960 --> 00:42:24,680
+five minus six axis one hundred and thirty. This 
+
+555
+00:42:24,680 --> 00:42:29,560
+axis is one hundred and thirty. So this line is one
+
+556
+00:42:29,560 --> 00:42:33,180
+hundred and thirty. Plus five we say the sphere we 
+
+557
+00:42:33,180 --> 00:42:40,280
+put it on the existing axis. Now we say the other
+
+558
+00:42:40,280 --> 00:42:42,040
+axis, if this axis is one hundred and thirty, the
+
+559
+00:42:42,040 --> 00:42:47,850
+vertical axis on it is forty. The axis is forty. How 
+
+560
+00:42:47,850 --> 00:42:49,650
+much is the force of the axis 40? This we know
+
+561
+00:42:49,650 --> 00:42:52,610
+that its force is plus 5 to the sphere and we put 
+
+562
+00:42:52,610 --> 00:42:54,670
+it on the axis written in the spherical and 
+
+563
+00:42:54,670 --> 00:42:58,250
+cylindrical form. We say that the other axis which 
+
+564
+00:42:58,250 --> 00:43:03,170
+is 40, vertical to 130 of course is minus 6 
+
+565
+00:43:03,170 --> 00:43:04,990
+degrees. Why is it minus? Because it is a minus
+
+566
+00:43:04,990 --> 00:43:09,810
+sign. It is minus 6 degrees from plus 5. 5 minus 6 
+
+567
+00:43:09,810 --> 00:43:16,390
+remains minus 1 for me. Okay. Now if my power cross
+
+568
+00:43:16,390 --> 00:43:19,630
+is ready, now if I want to take the plus 5, it 
+
+569
+00:43:19,630 --> 00:43:24,110
+will be the same thing. I want to take the other
+
+570
+00:43:24,110 --> 00:43:26,170
+meridian, the power of the other meridian, and
+
+571
+00:43:26,170 --> 00:43:29,950
+consider it as a sphere. So minus 1 is a sphere, 
+
+572
+00:43:31,290 --> 00:43:37,690
+and the second axis is 6. From minus 1 to plus 5, it 
+
+573
+00:43:37,690 --> 00:43:44,790
+adds 6 to it. So minus 1 plus 6 x is 40 to affect
+
+574
+00:43:44,790 --> 00:43:52,370
+130. If we want the quick way, we add the cylinder
+
+575
+00:43:52,370 --> 00:43:57,330
+to the sphere, minus 6 plus 5 remains minus 1. We 
+
+576
+00:43:57,330 --> 00:44:00,290
+flip the sign of 6, which is minus, which becomes 
+
+577
+00:44:00,290 --> 00:44:05,090
+plus. و المحور بنحركه تسعين درجة، مية و تلاتين ناقص 
+
+578
+00:44:05,090 --> 00:44:08,790
+تسعين، بيضال أربعين degree فبالتالي أي من 
+
+579
+00:44:08,790 --> 00:44:15,930
+الطريقتين اتبعت فهي يعني سهلة، فهي سهلة، بس طبعا 
+
+580
+00:44:15,930 --> 00:44:21,100
+الطريقة التانية أسرع وأكثر استعمالها. A simpler
+
+581
+00:44:21,100 --> 00:44:24,380
+method is more frequently used to convert a 
+
+582
+00:44:24,380 --> 00:44:27,340
+prescription from plus to minus cylindrical form,
+
+583
+00:44:27,760 --> 00:44:31,840
+or al-aqs, add sphere and cylindrical power
+
+584
+00:44:31,840 --> 00:44:34,220
+together to obtain the new sphere.
+
+585
+00:44:41,690 --> 00:44:46,710
+it changed the sign of the cylinder, rotate
+
+586
+00:44:46,710 --> 00:44:52,670
+the axis 90 degree to obtain the new axis to
+
+587
+00:44:52,670 --> 00:44:56,870
+obtain a new axis and at this point we stop and 
+
+588
+00:44:56,870 --> 00:45:00,250
+next time we will take the combination of 
+
+589
+00:45:00,250 --> 00:45:03,270
+spherical and cylindrical lenses and God bless you
+
+590
+00:45:03,270 --> 00:45:05,110
+and peace be upon you.
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Ep-c1SfnZDY_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Ep-c1SfnZDY_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c952151bbfa30a624829f60d1a739b0a9485430d
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Ep-c1SfnZDY_postprocess.srt
@@ -0,0 +1,2360 @@
+1
+00:00:01,690 --> 00:00:04,610
+بسم الله الرحمن الرحيم، بنواصل مع محاضرات الـ
+
+2
+00:00:04,610 --> 00:00:10,570
+Geometric Optics، واتوقفنا عند الطرق اللي بقدر
+
+3
+00:00:10,570 --> 00:00:14,510
+أعبّر فيها عن الـ Spherical and Cylindrical Lens،
+
+4
+00:00:14,510 --> 00:00:19,290
+أو ال Powers، تاعة ال Meridians، تاعة ال Spherical
+
+5
+00:00:19,290 --> 00:00:22,470
+and Cylindrical Lens، إذن the Powers،in the
+
+6
+00:00:22,470 --> 00:00:25,570
+principal meridians and cylindrical axes of sphero
+
+7
+00:00:25,570 --> 00:00:28,990
+cylindrical lenses may be specified in several
+
+8
+00:00:28,990 --> 00:00:35,410
+ways يعني ممكن أعبر عنهم أو أكتبهم بطرق متعددة أول
+
+9
+00:00:35,410 --> 00:00:38,430
+طريقة بيسموها ال power cross the common graphical
+
+10
+00:00:38,430 --> 00:00:42,950
+method is called power cross يعني بعدي برسم power
+
+11
+00:00:42,950 --> 00:00:52,120
+cross هيرسمنا power crosswe can draw it like this
+
+12
+00:00:52,120 --> 00:01:08,540
+for example meridian of 90 and meridian of 180 and
+
+13
+00:01:08,540 --> 00:01:13,060
+write here for example plus 3 and plus 1 plus 3
+
+14
+00:01:13,060 --> 00:01:17,700
+and plus 1 of course plus 3 is more
+
+15
+00:01:29,280 --> 00:01:34,840
+and here plus one, this is better so
+
+16
+00:01:34,840 --> 00:01:38,600
+this
+
+17
+00:01:38,600 --> 00:01:43,030
+is called power crossThe word power across means
+
+18
+00:01:43,030 --> 00:01:46,830
+that it defines the power of each meridian. What
+
+19
+00:01:46,830 --> 00:01:49,210
+does it mean plus three diopter of the vertical
+
+20
+00:01:49,210 --> 00:01:51,770
+meridian or meridian ninety? It means that this
+
+21
+00:01:51,770 --> 00:01:54,550
+meridian ninety, when rays enter from it, from
+
+22
+00:01:54,550 --> 00:01:57,570
+this meridian, it is as if it entered from a plus
+
+23
+00:01:57,570 --> 00:02:00,190
+three diopter lens. It is as if it entered from a
+
+24
+00:02:00,190 --> 00:02:01,950
+sphere lens, but this is specific to this
+
+25
+00:02:01,950 --> 00:02:05,930
+meridian. The rays that enter from the horizontal
+
+26
+00:02:05,930 --> 00:02:09,430
+meridian are as if they entered from a plus one
+
+27
+00:02:09,430 --> 00:02:12,430
+lens.Of course, the meridians between them, their
+
+28
+00:02:12,430 --> 00:02:15,070
+forces are gradually rising in this direction,
+
+29
+00:02:15,250 --> 00:02:18,750
+here plus one and a half, plus two, plus three,
+
+30
+00:02:18,870 --> 00:02:22,170
+plus two and a half, plus three, or decreasing in
+
+31
+00:02:22,170 --> 00:02:25,570
+this direction, that is, each meridian acts as a
+
+32
+00:02:25,570 --> 00:02:26,690
+sphere by itself
+
+33
+00:02:49,090 --> 00:02:52,310
+across is a drone oriented in the principal
+
+34
+00:02:52,310 --> 00:02:52,970
+meridians
+
+35
+00:02:56,620 --> 00:03:00,780
+the first line in the cross is parallel to the
+
+36
+00:03:00,780 --> 00:03:06,240
+first line in the cross and the second line is
+
+37
+00:03:06,240 --> 00:03:06,420
+perpendicular to the first line in the cross and
+
+38
+00:03:06,420 --> 00:03:09,480
+the second line is perpendicular to the first line
+
+39
+00:03:09,480 --> 00:03:12,880
+in the cross and
+
+40
+00:03:12,880 --> 00:03:13,200
+the second line is perpendicular to the first line
+
+41
+00:03:13,200 --> 00:03:15,180
+in the cross and the second line is perpendicular
+
+42
+00:03:15,180 --> 00:03:16,020
+to the first line in the cross and the second line
+
+43
+00:03:16,020 --> 00:03:16,500
+is perpendicular to the first line in the cross
+
+44
+00:03:16,500 --> 00:03:17,800
+and the second line is perpendicular to the first
+
+45
+00:03:17,800 --> 00:03:19,280
+line in the cross and the second line is
+
+46
+00:03:19,280 --> 00:03:21,760
+perpendicular to the first line in the cross and
+
+47
+00:03:21,760 --> 00:03:22,200
+the second line is perpendicular to the first line
+
+48
+00:03:22,200 --> 00:03:23,060
+in the cross and the second line is perpendicular
+
+49
+00:03:23,060 --> 00:03:25,560
+to the first line in the cross and the second line
+
+50
+00:03:25,560 --> 00:03:25,580
+line in the cross and the second line is
+
+51
+00:03:25,580 --> 00:03:25,600
+the second line is perpendicular to the first line
+
+52
+00:03:25,600 --> 00:03:33,670
+line in the cross andso meridian at 120 degrees
+
+53
+00:03:33,670 --> 00:03:37,530
+and meridian at 30 degrees depending on which
+
+54
+00:03:37,530 --> 00:03:40,290
+meridian is stronger or weaker but it is very
+
+55
+00:03:40,290 --> 00:03:43,410
+important that the angle between the stronger and
+
+56
+00:03:43,410 --> 00:03:45,830
+weaker meridian is 90 degrees
+
+57
+00:03:54,000 --> 00:03:57,500
+A cross is a drone oriented in the principal
+
+58
+00:03:57,500 --> 00:04:01,340
+meridians and
+
+59
+00:04:01,340 --> 00:04:06,260
+each arm of the cross is labeled with the power
+
+60
+00:04:06,260 --> 00:04:07,860
+acting in that meridian.
+
+61
+00:04:20,510 --> 00:04:24,690
+plus one, we write plus one, minus four, we write
+
+62
+00:04:24,690 --> 00:04:27,270
+minus four, as much as the power of this meridian,
+
+63
+00:04:27,310 --> 00:04:30,650
+the meridian can work as a plus lens, or the
+
+64
+00:04:30,650 --> 00:04:34,090
+meridian can work as a minus lens, as a minus
+
+65
+00:04:34,090 --> 00:04:40,700
+lens, so the first way of expressionIt's the way
+
+66
+00:04:40,700 --> 00:04:44,560
+of power across This describes the spherical and
+
+67
+00:04:44,560 --> 00:04:48,660
+cylindrical down The second way is called the
+
+68
+00:04:48,660 --> 00:04:53,640
+combined cylindrical form The
+
+69
+00:04:53,640 --> 00:05:00,160
+same power cross If I find this meridian strength
+
+70
+00:05:00,160 --> 00:05:03,860
+plus one and this meridian strength plus threeI
+
+71
+00:05:03,860 --> 00:05:07,480
+want to come to the spherical-cylindrical lens and
+
+72
+00:05:07,480 --> 00:05:11,820
+compensate for it with two cylinders. So that the
+
+73
+00:05:11,820 --> 00:05:16,380
+force at the vertical meridian is Q2 plus 3 and
+
+74
+00:05:16,380 --> 00:05:19,940
+the horizontal meridian is Q2 plus 1. Look at this
+
+75
+00:05:19,940 --> 00:05:26,900
+view. This is the planocylindrical lens.
+
+76
+00:05:27,440 --> 00:05:29,040
+Planocylindrical lens
+
+77
+00:05:41,850 --> 00:05:44,810
+Planoconvex lens which is cylindrical lens plus
+
+78
+00:05:44,810 --> 00:05:47,790
+cylindrical lens which is painted in white The
+
+79
+00:05:47,790 --> 00:05:51,350
+axis is horizontal, so its force is vertical This
+
+80
+00:05:51,350 --> 00:05:54,610
+force must be plus three diopters to give me a
+
+81
+00:05:54,610 --> 00:05:58,890
+vertical effect plus three diopters So I say here
+
+82
+00:05:58,890 --> 00:06:02,010
+Spherocylindrical
+
+83
+00:06:02,010 --> 00:06:05,910
+lens which we saw in this exampleand the vertical
+
+84
+00:06:05,910 --> 00:06:08,910
+meridian is plus 3 and the horizontal meridian is
+
+85
+00:06:08,910 --> 00:06:12,050
+plus 1 I can express them in the combined
+
+86
+00:06:12,050 --> 00:06:16,410
+cylindrical form meaning two cylinders together I
+
+87
+00:06:16,410 --> 00:06:21,650
+put in front of the patient's eye a cylindrical
+
+88
+00:06:21,650 --> 00:06:24,990
+lens of course plano cylindrical meaning that the
+
+89
+00:06:24,990 --> 00:06:31,260
+sphere has zero on plus threewhere is the axis?
+
+90
+00:06:31,780 --> 00:06:34,360
+this is the axis of the cylinder 180 degrees to
+
+91
+00:06:34,360 --> 00:06:40,480
+affect 90 degrees and also it has plan and convex
+
+92
+00:06:40,480 --> 00:06:47,780
+lens with power plus one plus one diopter cylinder
+
+93
+00:06:47,780 --> 00:06:51,820
+in
+
+94
+00:06:51,820 --> 00:06:58,770
+axis 90 degrees in axis 90 degreesنعمل بس ال
+
+95
+00:06:58,770 --> 00:07:07,150
+degree نعمل إدراج و
+
+96
+00:07:07,150 --> 00:07:16,170
+هنا نعملها نفس الشيء
+
+97
+00:07:16,170 --> 00:07:20,730
+ما
+
+98
+00:07:20,730 --> 00:07:24,450
+معنى هذا الكلام؟ معنى هذا الكلام
+
+99
+00:07:27,030 --> 00:07:32,310
+is if you bring a planoconvex cylinder which is
+
+100
+00:07:32,310 --> 00:07:36,850
+written in white color and you put its axis on 180
+
+101
+00:07:36,850 --> 00:07:42,370
+the maximum power will be 90 what is the maximum
+
+102
+00:07:42,370 --> 00:07:46,590
+power? it is plus 3 so meridian will have 90 and
+
+103
+00:07:46,590 --> 00:07:50,670
+its force will be plus 3 and if you bring with it
+
+104
+00:07:50,670 --> 00:07:56,290
+also in front or behind plus 1diopter cylinder
+
+105
+00:07:56,290 --> 00:07:59,810
+liplano convex its power is plus one diopter I put
+
+106
+00:07:59,810 --> 00:08:05,030
+its axis which is drawn in red I put its axis on
+
+107
+00:08:05,030 --> 00:08:09,550
+ninety its maximum power which is plus one will be
+
+108
+00:08:09,550 --> 00:08:13,150
+one hundred and eighty this means that I have
+
+109
+00:08:13,150 --> 00:08:16,070
+meridian ninety its power is plus three and
+
+110
+00:08:16,070 --> 00:08:18,730
+meridian one hundred and eighty its power is plus
+
+111
+00:08:18,730 --> 00:08:22,470
+one so instead of expressing by power across I say
+
+112
+00:08:23,140 --> 00:08:27,480
+Sphero-cylindrical lens are two cylinders
+
+113
+00:08:27,480 --> 00:08:33,780
+perpendicular to each other's axes
+
+114
+00:08:33,780 --> 00:08:38,960
+So this is another way to express the sphero
+
+115
+00:08:38,960 --> 00:08:43,420
+-cylindrical lens Here, the power of the cross
+
+116
+00:08:43,420 --> 00:08:47,060
+represents the force of each meridian Here is
+
+117
+00:08:47,060 --> 00:08:50,900
+another form of expression which is the combined
+
+118
+00:08:50,900 --> 00:08:57,160
+cylindrical formThe third shape is the most common
+
+119
+00:08:57,160 --> 00:08:59,760
+shape, which is the spherical cylindrical form.
+
+120
+00:09:02,280 --> 00:09:06,120
+Instead of putting two cylinders, I put a sphere
+
+121
+00:09:06,120 --> 00:09:08,720
+with a cylinder, and in the end it will be the
+
+122
+00:09:08,720 --> 00:09:12,880
+same result. The result says that the force of the
+
+123
+00:09:12,880 --> 00:09:16,280
+meridian 90 must be plus 3, and the force of the
+
+124
+00:09:16,280 --> 00:09:18,740
+meridian 180 must be plus 1.
+
+125
+00:09:21,830 --> 00:09:25,110
+The spherical cylindrical form is what? The
+
+126
+00:09:25,110 --> 00:09:27,890
+spherical cylindrical form is that I want to bring
+
+127
+00:09:27,890 --> 00:09:31,030
+a spherical lens. Why? Because I want to put the
+
+128
+00:09:31,030 --> 00:09:34,510
+blue circle in front of the patient's eye plus one
+
+129
+00:09:34,510 --> 00:09:37,590
+diopter. What does plus one diopter mean? It means
+
+130
+00:09:37,590 --> 00:09:41,790
+that each meridian of its meridian is plus one.
+
+131
+00:09:42,150 --> 00:09:44,170
+The horizontal meridian is plus one and the
+
+132
+00:09:44,170 --> 00:09:48,090
+vertical meridian is plus one. When we put a
+
+133
+00:09:48,090 --> 00:09:51,080
+spherical lens in front of the eyeThe power of the
+
+134
+00:09:51,080 --> 00:09:54,200
+spherical lens is equal in all meridians. What is
+
+135
+00:09:54,200 --> 00:09:57,420
+the horizontal meridian? As if I gave it plus one
+
+136
+00:09:59,110 --> 00:10:01,650
+And the vertical meridian gave it plus one, and
+
+137
+00:10:01,650 --> 00:10:03,450
+what's between them, but what's between them is
+
+138
+00:10:03,450 --> 00:10:07,110
+not necessary to clarify the issue So when I put
+
+139
+00:10:07,110 --> 00:10:09,390
+plus one in the diopter sphere, then the
+
+140
+00:10:09,390 --> 00:10:12,050
+horizontal meridian gave it plus one, and the
+
+141
+00:10:12,050 --> 00:10:15,930
+vertical meridian gave it plus one Okay, the
+
+142
+00:10:15,930 --> 00:10:18,730
+vertical meridian's true force is plus three, how
+
+143
+00:10:18,730 --> 00:10:21,710
+do I make it plus three?We added the sphere to it
+
+144
+00:10:21,710 --> 00:10:23,930
+and it became plus one, but it's missing two. We
+
+145
+00:10:23,930 --> 00:10:27,230
+also need to add two to it. We also need to add
+
+146
+00:10:27,230 --> 00:10:29,970
+two to it. How do we add two to it? In the
+
+147
+00:10:29,970 --> 00:10:34,390
+following way, we put a cylinder with its axis at
+
+148
+00:10:34,390 --> 00:10:37,630
+180 degrees so that its force becomes 90 degrees.
+
+149
+00:10:40,250 --> 00:10:45,630
+Plus 2 diopter, Planoconvex,
+
+150
+00:10:45,910 --> 00:10:51,310
+Axis is 180 because its effect is 90 At the
+
+151
+00:10:51,310 --> 00:10:55,890
+sphere, its force is equal to plus 1 diopter, so
+
+152
+00:10:55,890 --> 00:11:00,670
+all meridians take plus 1 diopterIt is the rays
+
+153
+00:11:00,670 --> 00:11:02,650
+that will enter from the horizontal meridian to
+
+154
+00:11:02,650 --> 00:11:06,150
+the sphere It will enter from a plus one diopter
+
+155
+00:11:06,150 --> 00:11:08,130
+lens And the rays that will enter from the
+
+156
+00:11:08,130 --> 00:11:11,990
+vertical meridian will also enter from a meridian
+
+157
+00:11:11,990 --> 00:11:15,110
+with a force plus one diopter And any axis between
+
+158
+00:11:15,110 --> 00:11:18,210
+them also has a force as if it is a plus one
+
+159
+00:11:18,210 --> 00:11:21,650
+diopter lens This is for the sphere For the
+
+160
+00:11:21,650 --> 00:11:24,950
+cylinder, if we put its axis on one hundred and
+
+161
+00:11:24,950 --> 00:11:28,760
+eighty, its force is one hundred and eighty zeroit
+
+162
+00:11:28,760 --> 00:11:31,440
+will not affect 180, it will not add to this plus
+
+163
+00:11:31,440 --> 00:11:34,800
+one anything while all its force is out of its
+
+164
+00:11:34,800 --> 00:11:40,400
+axis at 180 its maximum power will be at 90 its
+
+165
+00:11:40,400 --> 00:11:44,540
+maximum power is plus two, so the vertical
+
+166
+00:11:44,540 --> 00:11:48,320
+meridian will be plus two and there is plus one
+
+167
+00:11:48,320 --> 00:11:52,920
+with it basically from the spherical lens, so it
+
+168
+00:11:52,920 --> 00:11:57,280
+will line up their groupplus one plus zero plus
+
+169
+00:11:57,280 --> 00:12:00,200
+one this is the axis of the horizontal axis plus
+
+170
+00:12:00,200 --> 00:12:03,780
+one plus two from the cylinder from the plano
+
+171
+00:12:03,780 --> 00:12:07,380
+convex then it will be plus three this is how it
+
+172
+00:12:07,380 --> 00:12:11,040
+is written how do I write this? we write this in
+
+173
+00:12:11,040 --> 00:12:16,400
+writing we give in front of the patient plus one
+
+174
+00:12:16,400 --> 00:12:21,780
+this is the diopterosphere and
+
+175
+00:12:21,780 --> 00:12:29,750
+the cylinder plus twoDiopter cylinder على المحور
+
+176
+00:12:29,750 --> 00:12:33,450
+بتاع السيليندر عشان تأثرلي ع تسعين بتنحط على مية و
+
+177
+00:12:33,450 --> 00:12:39,650
+تمانية اذا هدى هدى للسفير و cylindrical for سفير
+
+178
+00:12:39,650 --> 00:12:49,130
+plus واحد diopter plus واحد diopter سفيرplus 2 is
+
+179
+00:12:49,130 --> 00:12:52,210
+the diameter of a cylinder in the axis 180 in the
+
+180
+00:12:52,210 --> 00:12:57,410
+axis 180 I can write it in another way, yes I can
+
+181
+00:12:57,410 --> 00:13:01,130
+write it in another way, in another way, but
+
+182
+00:13:01,130 --> 00:13:03,190
+sometimes I have to change the direction of the
+
+183
+00:13:03,190 --> 00:13:06,290
+cylinder, and we will get this in due course, God
+
+184
+00:13:06,290 --> 00:13:10,890
+willing. So this is the third form of the forms of
+
+185
+00:13:10,890 --> 00:13:13,250
+expression for the spherical cylindrical, the
+
+186
+00:13:13,250 --> 00:13:19,460
+first formwhich is power cross I can write power
+
+187
+00:13:19,460 --> 00:13:24,150
+crossI can write it in combined cylindrical form,
+
+188
+00:13:24,670 --> 00:13:28,370
+meaning two cylinders together I can write it in
+
+189
+00:13:28,370 --> 00:13:31,950
+spherical cylindrical form, which is the most
+
+190
+00:13:31,950 --> 00:13:35,570
+common form Or I can express it in spherical
+
+191
+00:13:35,570 --> 00:13:38,390
+equivalent form, meaning I put a lens in a sphere
+
+192
+00:13:38,390 --> 00:13:42,230
+and I say plus 2 diopter, sphere, why plus 2
+
+193
+00:13:42,230 --> 00:13:45,230
+diopter? We will say, because to get the spherical
+
+194
+00:13:45,230 --> 00:13:51,350
+equivalentI say plus three plus one plus four
+
+195
+00:13:51,350 --> 00:13:53,790
+divided by two which is the average force of the
+
+196
+00:13:53,790 --> 00:13:56,730
+stronger meridian with the weaker meridian which
+
+197
+00:13:56,730 --> 00:14:02,290
+is the spherical equivalent plus three which is
+
+198
+00:14:02,290 --> 00:14:04,410
+the vertical and plus one which is the horizontal
+
+199
+00:14:04,410 --> 00:14:06,730
+we combine them together and we get plus four
+
+200
+00:14:06,730 --> 00:14:08,730
+which is divided by their number which is two
+
+201
+00:14:08,730 --> 00:14:12,530
+which means I get plus two so I can express about
+
+202
+00:14:12,530 --> 00:14:17,910
+the spherical cylindricallens with four forms,
+
+203
+00:14:18,410 --> 00:14:22,010
+which are power cross, combined cylindrical form,
+
+204
+00:14:22,570 --> 00:14:24,830
+sphero cylindrical form which is the most common
+
+205
+00:14:24,830 --> 00:14:27,650
+one, or spherical equivalent or spherical
+
+206
+00:14:27,650 --> 00:14:32,700
+equivalentNow, how do I write the spherical
+
+207
+00:14:32,700 --> 00:14:35,740
+cylindrical form, which is the most common
+
+208
+00:14:35,740 --> 00:14:40,640
+spherical cylindrical form We write the sphere, we
+
+209
+00:14:40,640 --> 00:14:42,880
+write the cylinder, we write the axis of the
+
+210
+00:14:42,880 --> 00:14:45,860
+cylinder The axis of the cylinder cannot be
+
+211
+00:14:45,860 --> 00:14:48,720
+written as cylindrical lens without writing its
+
+212
+00:14:48,720 --> 00:14:53,260
+axis The sphere has no axis, its force is on all
+
+213
+00:14:53,260 --> 00:14:56,780
+meridians unitedHere, when we wrote the cylinder,
+
+214
+00:14:57,360 --> 00:14:59,740
+we wrote its axis. When we wrote the second
+
+215
+00:14:59,740 --> 00:15:02,080
+cylinder, we wrote its axis. So it is very
+
+216
+00:15:02,080 --> 00:15:05,740
+important that this issue is not forgotten The
+
+217
+00:15:05,740 --> 00:15:09,000
+most common written notation specifies sphere
+
+218
+00:15:09,000 --> 00:15:11,740
+power, I write the sphere, then I write the
+
+219
+00:15:11,740 --> 00:15:15,200
+cylindrical power and the axis of the cylinder The
+
+220
+00:15:15,200 --> 00:15:19,820
+axis of the cylinder Now there are examples, all
+
+221
+00:15:19,820 --> 00:15:23,520
+for the same lensIt's all for the same lens Let's
+
+222
+00:15:23,520 --> 00:15:29,080
+try to conclude this case Combined cylindrical
+
+223
+00:15:29,080 --> 00:15:36,100
+form I have plus 1 by 180 plus 1 by 180 and plus 4
+
+224
+00:15:36,100 --> 00:15:40,240
+in axis 90 When we convert it to power cross
+
+225
+00:15:51,820 --> 00:15:56,900
+this is a cylinder, plus one, its axis is one
+
+226
+00:15:56,900 --> 00:16:00,580
+hundred eighty, so its force is ninety, so plus
+
+227
+00:16:00,580 --> 00:16:02,880
+one works on the axis of ninety
+
+228
+00:16:18,970 --> 00:16:20,950
+I also have a cylinder which is the combined
+
+229
+00:16:20,950 --> 00:16:24,510
+cylinder form plus 4 over 90 as long as the axis
+
+230
+00:16:24,510 --> 00:16:34,890
+is plus 4 over 90 then its force is 108 plus
+
+231
+00:16:34,890 --> 00:16:39,990
+4 diode so I converted the combined cylindrical
+
+232
+00:16:39,990 --> 00:16:43,360
+form to power crossThis is how I converted the
+
+233
+00:16:43,360 --> 00:16:48,660
+Combined Cylindrical Form to Power Cross Now I
+
+234
+00:16:48,660 --> 00:16:58,640
+want to convert it to Power Cross This
+
+235
+00:16:58,640 --> 00:17:04,740
+is
+
+236
+00:17:04,740 --> 00:17:06,940
+what we did now, we converted the Combined
+
+237
+00:17:06,940 --> 00:17:11,570
+Cylindrical Form to Power Crossnow we want to
+
+238
+00:17:11,570 --> 00:17:15,070
+write or write the combined cylindrical form and
+
+239
+00:17:15,070 --> 00:17:19,810
+turn it into a spherical cylindrical lens either I
+
+240
+00:17:19,810 --> 00:17:22,790
+turn it into a power cross or I turn it into a
+
+241
+00:17:22,790 --> 00:17:25,270
+combined cylindrical form but into a power cross
+
+242
+00:17:25,270 --> 00:17:28,530
+because it's graphical because it's official, it's
+
+243
+00:17:28,530 --> 00:17:32,850
+better for me I need two things either I say as
+
+244
+00:17:32,850 --> 00:17:34,490
+follows the first picture
+
+245
+00:17:37,440 --> 00:17:39,920
+We take the strongest meridian and say that plus 4
+
+246
+00:17:39,920 --> 00:17:47,500
+is the sphere. When I say that I have plus 4
+
+247
+00:17:47,500 --> 00:17:51,540
+spheres, it means that I gave all the meridians
+
+248
+00:17:51,540 --> 00:17:55,000
+plus 4. This is plus 4 and this is plus 4 and what
+
+249
+00:17:55,000 --> 00:17:57,800
+is between them. It is like a spherical lens, all
+
+250
+00:17:57,800 --> 00:18:01,640
+the meridians have strength plus 4.But the
+
+251
+00:18:01,640 --> 00:18:05,760
+meridian is less than plus 4 How can we make it
+
+252
+00:18:05,760 --> 00:18:09,340
+plus 1? We have to divide it by 3 So we gave them
+
+253
+00:18:09,340 --> 00:18:16,060
+all plus 4 spheres We say plus 4 spheres minus 3
+
+254
+00:18:16,060 --> 00:18:20,400
+But I want the minus 3 to have an effect of 90Its
+
+255
+00:18:20,400 --> 00:18:26,060
+effect is 90, so its axis must be 180 High Sphero
+
+256
+00:18:26,060 --> 00:18:29,660
+Cylindrical Lens Let's do it in the way of power
+
+257
+00:18:29,660 --> 00:18:32,360
+across In the way of power cross, we say as
+
+258
+00:18:32,360 --> 00:18:42,400
+follows In
+
+259
+00:18:42,400 --> 00:18:47,620
+the way of power cross We lower it
+
+260
+00:18:54,120 --> 00:18:55,600
+In order to expand the distance
+
+261
+00:19:24,490 --> 00:19:30,470
+Here we say we took plus 4 and put it as a sphere,
+
+262
+00:19:30,790 --> 00:19:41,770
+which means all meridians were given plus 4 The
+
+263
+00:19:41,770 --> 00:19:43,750
+horizontal meridian and the vertical meridian
+
+264
+00:20:13,770 --> 00:20:16,390
+But we know that the vertical meridian is plus
+
+265
+00:20:16,390 --> 00:20:19,830
+one, not plus four, so we need to adjust it from
+
+266
+00:20:19,830 --> 00:20:24,370
+plus four to plus one So we need to give it
+
+267
+00:20:24,370 --> 00:20:31,030
+planoconcave, meaning cylindrical lens should have
+
+268
+00:20:31,030 --> 00:20:34,390
+minus cylinder
+
+269
+00:20:47,130 --> 00:20:50,470
+When I put the minus cylinder on 180, its force on
+
+270
+00:20:50,470 --> 00:20:59,630
+180 is zero Of
+
+271
+00:20:59,630 --> 00:21:02,990
+course,
+
+272
+00:21:03,150 --> 00:21:07,190
+the axis is 180, which means that the total force
+
+273
+00:21:07,190 --> 00:21:10,990
+or the strongest force on it is 90, which is its
+
+274
+00:21:10,990 --> 00:21:12,130
+force minus three
+
+275
+00:21:15,310 --> 00:21:22,910
+minus 3 diopter In
+
+276
+00:21:22,910 --> 00:21:25,430
+spherical and cylindrical lens, it is as if a
+
+277
+00:21:25,430 --> 00:21:27,830
+sphere has four forces, which are distributed by
+
+278
+00:21:27,830 --> 00:21:32,050
+each of the four forces, each meridian has four
+
+279
+00:21:32,050 --> 00:21:37,490
+forces. In a cylinder, the axis is 180 degrees,
+
+280
+00:21:37,530 --> 00:21:39,250
+which means that the force of the vertical axis is
+
+281
+00:21:39,250 --> 00:21:44,140
+minus 3.because it's vertical to the axis when we
+
+282
+00:21:44,140 --> 00:21:45,960
+see the result like this, what happened to me?
+
+283
+00:21:51,460 --> 00:22:00,860
+the result is equal to the next cross zoom
+
+284
+00:22:00,860 --> 00:22:01,280
+in a little bit below
+
+285
+00:22:15,760 --> 00:22:21,700
+The vertical meridian has a force that acts as if
+
+286
+00:22:21,700 --> 00:22:25,880
+there is a plus 4 in front of it and a minus 3 in
+
+287
+00:22:25,880 --> 00:22:27,620
+front of it at the same time, so it acts as if
+
+288
+00:22:27,620 --> 00:22:29,980
+there is a plus 1 in front of it as if there is a
+
+289
+00:22:29,980 --> 00:22:39,200
+plus 1 in front of it This is the vertical axis I
+
+290
+00:22:39,200 --> 00:22:43,400
+will write it below the meridian to make it easier
+
+291
+00:22:43,400 --> 00:22:43,500
+to understand
+
+292
+00:22:46,700 --> 00:22:50,740
+this is a point, the second point here is plus
+
+293
+00:22:50,740 --> 00:22:55,920
+four plus zero plus four, it remains plus four
+
+294
+00:23:05,030 --> 00:23:08,230
+The same power across, horizontal, plus four, and
+
+295
+00:23:08,230 --> 00:23:10,750
+vertical, plus one I expressed them in
+
+296
+00:23:10,750 --> 00:23:14,550
+cylindrical, spherical, cylindrical form, but the
+
+297
+00:23:14,550 --> 00:23:16,990
+cylinder has minus, that's why it's called minus
+
+298
+00:23:16,990 --> 00:23:20,770
+cylinder form, which is this third line, plus
+
+299
+00:23:20,770 --> 00:23:24,110
+four, minus three, axis one hundred and eighty Now
+
+300
+00:23:24,110 --> 00:23:27,630
+we want to repeat all this, but we want to make
+
+301
+00:23:27,630 --> 00:23:28,590
+the cylinder plus
+
+302
+00:23:32,150 --> 00:23:34,910
+Here we will leave the sphere, no we have to
+
+303
+00:23:34,910 --> 00:23:43,530
+change it to get the plus cylinder So
+
+304
+00:23:43,530 --> 00:23:48,830
+plus
+
+305
+00:23:48,830 --> 00:23:55,930
+4 minus 3, axis 180, here we will delete it, here
+
+306
+00:23:55,930 --> 00:23:57,930
+also delete it
+
+307
+00:24:01,600 --> 00:24:04,600
+So we expressed it with combined cylindrical form
+
+308
+00:24:04,600 --> 00:24:09,080
+We expressed it with power cross And we expressed
+
+309
+00:24:09,080 --> 00:24:12,100
+it with spherical cylindrical lens with minus in
+
+310
+00:24:12,100 --> 00:24:14,340
+the cylinder Now we want to express it with
+
+311
+00:24:14,340 --> 00:24:17,660
+spherical cylindrical lens with plus in the sphere
+
+312
+00:24:17,660 --> 00:24:20,800
+We say that this is the power cross The power
+
+313
+00:24:20,800 --> 00:24:23,700
+cross is plus one vertical and plus four
+
+314
+00:24:23,700 --> 00:24:27,500
+horizontal I can consider that I want to give a
+
+315
+00:24:27,500 --> 00:24:30,180
+sphere to all meridians with power plus one
+
+316
+00:24:37,910 --> 00:24:40,770
+So the vertical meridian took its full size which
+
+317
+00:24:40,770 --> 00:24:44,610
+is plus one, I changed it, it has nothing left For
+
+318
+00:24:44,610 --> 00:24:47,130
+plus four which is the horizontal meridian, I gave
+
+319
+00:24:47,130 --> 00:24:50,230
+it plus one, it still has plus three, I want to
+
+320
+00:24:50,230 --> 00:24:53,870
+add plus three to it, we say as follows, let's
+
+321
+00:24:53,870 --> 00:24:55,990
+assume that the sphere is plus one
+
+322
+00:24:59,710 --> 00:25:03,110
+And I want to add plus 3 to the horizontal axis to
+
+323
+00:25:03,110 --> 00:25:05,450
+make it plus 4, because it's force is actually
+
+324
+00:25:05,450 --> 00:25:10,290
+plus 4 How do I add plus 3 to it? I bring plano
+
+325
+00:25:10,290 --> 00:25:15,090
+convex plus cylinder and I put its axis on 90, its
+
+326
+00:25:15,090 --> 00:25:20,650
+force will be 180, so plus 3this is what is
+
+327
+00:25:20,650 --> 00:25:23,430
+missing for meridian which has a force of 4
+
+328
+00:25:23,430 --> 00:25:27,990
+diopters, it took one of the spheres and left
+
+329
+00:25:27,990 --> 00:25:30,270
+three of them, the three of them, in order to
+
+330
+00:25:30,270 --> 00:25:32,870
+affect it, the axis of the lens of the plus
+
+331
+00:25:32,870 --> 00:25:38,040
+cylinder must be 90 degrees, then in axis90 as we
+
+332
+00:25:38,040 --> 00:25:44,100
+see here plus 1 plus 3 axis 90 okay here I say
+
+333
+00:25:44,100 --> 00:25:50,320
+when axis is at 90 it means force is at 180 so
+
+334
+00:25:50,320 --> 00:25:57,940
+force becomes here at 180 which is plus 3 plus 3
+
+335
+00:25:57,940 --> 00:25:58,660
+diopter
+
+336
+00:26:08,530 --> 00:26:13,730
+So, plus three is negative And
+
+337
+00:26:13,730 --> 00:26:16,690
+here, as long as the axis of the lens is at ninety
+
+338
+00:26:16,690 --> 00:26:19,370
+As long as the axis is at ninety, the force at
+
+339
+00:26:19,370 --> 00:26:22,910
+ninety is zero Zero
+
+340
+00:26:32,370 --> 00:26:34,870
+So this is the spherical lens plus one, each
+
+341
+00:26:34,870 --> 00:26:38,130
+meridian is plus one, and this is the cylindrical
+
+342
+00:26:38,130 --> 00:26:41,990
+lens, its axis is ninety, so its total force or
+
+343
+00:26:41,990 --> 00:26:46,490
+maximum power is one hundred and eighty. The
+
+344
+00:26:46,490 --> 00:26:50,910
+result is plus one horizontally with plus three
+
+345
+00:26:50,910 --> 00:26:53,550
+horizontally, which is plus four, plus four on the
+
+346
+00:26:53,550 --> 00:26:54,170
+horizontal axis.
+
+347
+00:27:04,260 --> 00:27:09,060
+Plus one plus zero means plus one on the vertical
+
+348
+00:27:09,060 --> 00:27:15,780
+axis This
+
+349
+00:27:15,780 --> 00:27:18,240
+is how I get the same power across So this
+
+350
+00:27:18,240 --> 00:27:21,140
+spherical and cylindrical lens is called plus
+
+351
+00:27:21,140 --> 00:27:25,220
+cylindrical form And the previous one is minus
+
+352
+00:27:25,220 --> 00:27:30,750
+cylindrical formNow we have the last method which
+
+353
+00:27:30,750 --> 00:27:35,670
+is the spherical equivalent. I add the two
+
+354
+00:27:35,670 --> 00:27:38,450
+meridians, the weakest and strongest, plus one and
+
+355
+00:27:38,450 --> 00:27:41,010
+plus four, which is plus five divided by two, plus
+
+356
+00:27:41,010 --> 00:27:44,130
+two and a half diopter. So I can say that if we
+
+357
+00:27:44,130 --> 00:27:47,490
+bring a sphere plus two diopters, it becomes a
+
+358
+00:27:47,490 --> 00:27:52,570
+spherical and cylindrical lens. We repeat again.To
+
+359
+00:27:52,570 --> 00:27:56,630
+express the astigmatic lens, I either use power
+
+360
+00:27:56,630 --> 00:28:03,230
+cross, combined cylindrical form, or spherical
+
+361
+00:28:03,230 --> 00:28:08,630
+cylindrical form, which is the most common, and
+
+362
+00:28:08,630 --> 00:28:11,510
+there are two forms of it, plus cylindrical form,
+
+363
+00:28:11,670 --> 00:28:15,710
+which we see here, and minus cylindrical form,
+
+364
+00:28:15,790 --> 00:28:18,650
+which we explained in the example, or spherical
+
+365
+00:28:18,650 --> 00:28:21,130
+equivalent
+
+366
+00:28:21,710 --> 00:28:27,590
+طبعا هدولة كلهم أشكال لنفس العدسة Remember that or
+
+367
+00:28:27,590 --> 00:28:30,290
+the following example of sphero cylindrical
+
+368
+00:28:30,290 --> 00:28:35,250
+expression are entirely equivalent مكافئين لبعض من
+
+369
+00:28:35,250 --> 00:28:40,530
+البعض بشكل كامل شكل كامل بدنا نتذكر و احنا بنعمل
+
+370
+00:28:40,530 --> 00:28:44,730
+أي شكل من الأشكال الأربعةThe maximum power of a
+
+371
+00:28:44,730 --> 00:28:48,150
+cylinder is in the meridian 90 degrees away from
+
+372
+00:28:48,150 --> 00:28:49,590
+the axis of the cylinder
+
+373
+00:29:11,390 --> 00:29:17,790
+to avoid errors in transcription it
+
+374
+00:29:17,790 --> 00:29:20,930
+is helpful to notate the axis using all three
+
+375
+00:29:20,930 --> 00:29:25,430
+digits and dropping the degree notation in other
+
+376
+00:29:25,430 --> 00:29:30,350
+words if you notice the word degree is not written
+
+377
+00:29:30,350 --> 00:29:32,870
+here why is the word degree not written here? we
+
+378
+00:29:32,870 --> 00:29:34,570
+can lower it and then lower it again
+
+379
+00:29:40,110 --> 00:29:45,770
+نقول ليش احنا مش كاتبينها أحيانا
+
+380
+00:29:45,770 --> 00:29:48,970
+الإنسان مع السرع بيكتب كلمة degree بس بتكبر معاه
+
+381
+00:29:48,970 --> 00:29:54,190
+شوية الحجم بتاعها فمثلا على سبيل المثال، بدي أكتب
+
+382
+00:29:54,190 --> 00:29:58,670
+axis 11 و
+
+383
+00:29:58,670 --> 00:30:06,240
+degree على سبيل المثال degreeيعني ال .. ال
+
+384
+00:30:06,240 --> 00:30:09,660
+cylinder بده أحطها على degree .. على أحداشر degree
+
+385
+00:30:09,660 --> 00:30:14,840
+أو خلينا نقول على عشرةon the axis of 10, the axis
+
+386
+00:30:14,840 --> 00:30:17,840
+of the cylinder on the axis of 10 and it was
+
+387
+00:30:17,840 --> 00:30:22,760
+written 10 degree and the circles of the degree
+
+388
+00:30:22,760 --> 00:30:26,580
+became not 10 but 100 so sometimes who wants to
+
+389
+00:30:26,580 --> 00:30:30,880
+implement this recipe of the glasses will have a
+
+390
+00:30:30,880 --> 00:30:34,640
+problem he will make the axis on 100 not on 10
+
+391
+00:30:34,640 --> 00:30:38,440
+which means the axis is wrongتماما access خطأ بشكل
+
+392
+00:30:38,440 --> 00:30:43,120
+كامل فبالتالي الأفضل انه انا بستعمل three digits
+
+393
+00:30:43,120 --> 00:30:48,060
+أرقام ثلاثية لكل عدسة من العدسات ال .. ال .. و
+
+394
+00:30:48,060 --> 00:30:52,040
+بالتالي ب .. الأفضل انه ماكتبش كلمة degree مفهومة
+
+395
+00:30:52,040 --> 00:30:58,200
+انه degree and
+
+396
+00:30:58,200 --> 00:31:03,780
+dropping the degree notationI write axis from
+
+397
+00:31:03,780 --> 00:31:09,500
+three numbers and I don't write degree So it's
+
+398
+00:31:09,500 --> 00:31:13,420
+better than to write it and make a mistake in
+
+399
+00:31:13,420 --> 00:31:16,800
+pronouncing it Now we come to transposition
+
+400
+00:31:16,800 --> 00:31:22,980
+Transposition means to change the plus cylindrical
+
+401
+00:31:22,980 --> 00:31:27,080
+form to the minus cylindrical form Or vice versa,
+
+402
+00:31:27,200 --> 00:31:29,940
+from minus cylindrical form to plus cylindrical
+
+403
+00:31:29,940 --> 00:31:35,510
+formin the spherocylindrical lens We said that the
+
+404
+00:31:35,510 --> 00:31:38,970
+spherocylindrical form is the most common The
+
+405
+00:31:38,970 --> 00:31:42,570
+spherocylindrical form is the most common How do I
+
+406
+00:31:42,570 --> 00:31:45,550
+change the plus cylindrical form to minus
+
+407
+00:31:45,550 --> 00:31:50,030
+cylindrical form Or the minus cylindrical form to
+
+408
+00:31:50,030 --> 00:31:53,930
+plus cylindrical form I have an example here I
+
+409
+00:31:53,930 --> 00:31:59,530
+have this minus cylindrical formThis is minus
+
+410
+00:31:59,530 --> 00:32:03,710
+cylindrical form I want to turn it into plus
+
+411
+00:32:03,710 --> 00:32:11,270
+cylindrical form I have two ways The first way is
+
+412
+00:32:11,270 --> 00:32:16,110
+to turn this minus cylindrical form into power
+
+413
+00:32:16,110 --> 00:32:21,170
+cross And from the power cross I extract the other
+
+414
+00:32:21,170 --> 00:32:24,430
+form Here minus cylindrical form and here plus
+
+415
+00:32:24,430 --> 00:32:26,050
+cylindrical form
+
+416
+00:32:28,520 --> 00:32:33,300
+So, the first way is to convert any form to power
+
+417
+00:32:33,300 --> 00:32:34,640
+across, whether it's minus or plus, then I
+
+418
+00:32:34,640 --> 00:32:38,060
+subtract the other form. How does this work? This
+
+419
+00:32:38,060 --> 00:32:40,920
+is the sphere, this is the cylinder, and this is
+
+420
+00:32:40,920 --> 00:32:46,220
+the axis. So, I put the force of the sphere on the
+
+421
+00:32:46,220 --> 00:32:49,240
+axis that I have written. So, I have plus four
+
+422
+00:32:49,240 --> 00:32:52,380
+diopter sphere, and I have the axis of the
+
+423
+00:32:52,380 --> 00:32:57,670
+cylinder 90, I put plus four on the meridian 90.If
+
+424
+00:32:57,670 --> 00:33:01,390
+the meridian here is 120, I put plus 4 over 120.
+
+425
+00:33:01,550 --> 00:33:04,810
+So the sphere, I put its force on the meridian
+
+426
+00:33:04,810 --> 00:33:07,350
+written here. The meridian written here is 90, I
+
+427
+00:33:07,350 --> 00:33:13,250
+put plus 4 over 90. Okay. Now this cylinder does
+
+428
+00:33:13,250 --> 00:33:17,610
+not move as it is. It does not move as it is. We
+
+429
+00:33:17,610 --> 00:33:23,850
+sayThe second Meridian, we solved half of the
+
+430
+00:33:23,850 --> 00:33:26,410
+power cross, the power cross is 2 Meridian, one
+
+431
+00:33:26,410 --> 00:33:30,390
+bigger and one smaller, for plus 4, we solved it
+
+432
+00:33:30,390 --> 00:33:34,240
+for 90The second axis which is 90 degrees away
+
+433
+00:33:34,240 --> 00:33:36,920
+from it which is 180 degrees and we say The second
+
+434
+00:33:36,920 --> 00:33:41,660
+axis minus 2 minus 2 from plus 4 which is plus 2
+
+435
+00:33:41,660 --> 00:33:46,600
+We repeat to remind you I put the arrow on the
+
+436
+00:33:46,600 --> 00:33:49,600
+written meridian So we put the arrow on the
+
+437
+00:33:49,600 --> 00:33:53,240
+written meridian The written meridian is 90 So we
+
+438
+00:33:53,240 --> 00:33:57,680
+put this arrow on 90 And how much do I put on the
+
+439
+00:33:57,680 --> 00:33:59,680
+second meridian? I don't put minus 2 as it is
+
+440
+00:33:59,680 --> 00:34:03,760
+written, noThe cylinder here either decreases or
+
+441
+00:34:03,760 --> 00:34:06,840
+increases from the first meridian. Here it is four
+
+442
+00:34:06,840 --> 00:34:11,320
+and here it is four. It's like I'm saying this to
+
+443
+00:34:11,320 --> 00:34:16,920
+make it easier for you to understand. Because it's
+
+444
+00:34:16,920 --> 00:34:21,880
+a sphere, I put the sphere on all the meridians.
+
+445
+00:34:22,520 --> 00:34:25,360
+Because it's a sphere. Its force is distributed
+
+446
+00:34:25,360 --> 00:34:27,120
+equally over all the meridians.
+
+447
+00:34:32,130 --> 00:34:37,090
+He put 4. Ok. I have a cylinder of minus 2 and its
+
+448
+00:34:37,090 --> 00:34:41,110
+axis is 90 degrees. So its force is 180 degrees.
+
+449
+00:34:41,150 --> 00:34:42,730
+So here also minus 2.
+
+450
+00:34:45,470 --> 00:34:55,240
+Minus 2. Ok.So this axis affects only plus 4, and
+
+451
+00:34:55,240 --> 00:34:58,560
+this axis affects from the sphere plus 4 and from
+
+452
+00:34:58,560 --> 00:35:02,840
+the cylinder minus 2, plus 4 and minus 2 gives me
+
+453
+00:35:02,840 --> 00:35:09,000
+plus 2 Or
+
+454
+00:35:09,000 --> 00:35:11,720
+I can say directly
+
+455
+00:35:17,420 --> 00:35:21,640
+this is my plus 4 we put it on the mentioned axis
+
+456
+00:35:21,640 --> 00:35:28,880
+and minus 2 which is less than 4 by 2 the axis is
+
+457
+00:35:28,880 --> 00:35:32,480
+180 why? because minus 2 by 90 has an effect on
+
+458
+00:35:32,480 --> 00:35:37,280
+180 now we haven't finished yet, we have converted
+
+459
+00:35:37,280 --> 00:35:41,860
+one of the forms to power cross now from the power
+
+460
+00:35:41,860 --> 00:35:45,080
+cross I have to extract the other form I look here
+
+461
+00:35:45,960 --> 00:35:49,020
+Plus four, if I take the plus four, it will appear
+
+462
+00:35:49,020 --> 00:35:52,120
+with me again the same thing As long as here in
+
+463
+00:35:52,120 --> 00:35:54,380
+the initial form, the sphere is plus four, this
+
+464
+00:35:54,380 --> 00:35:58,320
+time I want to take the sphere plus two The sphere
+
+465
+00:35:58,320 --> 00:36:02,480
+plus two Okay, plus two means here plus two and
+
+466
+00:36:02,480 --> 00:36:06,260
+here plus two Okay, but here plus four means I
+
+467
+00:36:06,260 --> 00:36:10,740
+want above two another twoفبحطلها سلندر plus 2 ع
+
+468
+00:36:10,740 --> 00:36:16,380
+180 عشان اتأثر على 90 عشان اتأثر على 90 يعني بنقول
+
+469
+00:36:16,380 --> 00:36:24,220
+سفير plus 2 إذا هنا plus 2 هنا خلّيني نشطبها و هنا
+
+470
+00:36:24,220 --> 00:36:26,920
+كمان plus 2 لأنه السفير عندي plus 2
+
+471
+00:36:32,770 --> 00:36:36,770
+But I know that the vertical axis is plus four So
+
+472
+00:36:36,770 --> 00:36:40,770
+it needs two more So we get a cylinder with its
+
+473
+00:36:40,770 --> 00:36:43,990
+axis at one hundred and eighty Its force is plus
+
+474
+00:36:43,990 --> 00:36:47,190
+two to its force at ninety So it becomes plus two
+
+475
+00:36:47,190 --> 00:36:56,330
+and plus two I have plus four and plus two So plus
+
+476
+00:36:56,330 --> 00:36:59,570
+two plus two is one hundred and eighty So I
+
+477
+00:36:59,570 --> 00:37:00,850
+convert to power cross
+
+478
+00:37:08,980 --> 00:37:14,400
+and from power cross I get the
+
+479
+00:37:14,400 --> 00:37:20,080
+other form of cylinder so this is the first way
+
+480
+00:37:20,080 --> 00:37:25,460
+first way I change the form I have to power cross
+
+481
+00:37:25,460 --> 00:37:30,720
+and from power cross I get the other form in power
+
+482
+00:37:30,720 --> 00:37:34,080
+cross to change it quickly I say sphere I put it
+
+483
+00:37:34,080 --> 00:37:39,250
+on the existing axisand I say either the cylinder
+
+484
+00:37:39,250 --> 00:37:41,610
+decreases or increases, decreases if the sign is
+
+485
+00:37:41,610 --> 00:37:45,910
+minus from the sphere, so plus 4 we put it on 90
+
+486
+00:37:45,910 --> 00:37:48,790
+because 90 is what I have mentioned and I say the
+
+487
+00:37:48,790 --> 00:37:51,990
+other meridian which is meridian 180, how did I
+
+488
+00:37:51,990 --> 00:37:54,270
+know that it is 180 because it is away from the
+
+489
+00:37:54,270 --> 00:37:57,290
+first meridian that I specified which is 90, it is
+
+490
+00:37:57,290 --> 00:38:01,520
+90 degrees awaythe other meridian which is 180
+
+491
+00:38:01,520 --> 00:38:06,960
+minus 2 from plus 4 which is plus 2 if it was plus
+
+492
+00:38:06,960 --> 00:38:10,540
+here, we say that the other meridian is plus 2
+
+493
+00:38:10,540 --> 00:38:16,440
+from plus 4 we change it to power cross I take the
+
+494
+00:38:16,440 --> 00:38:19,960
+sphere of the last meridian that we got and I put
+
+495
+00:38:19,960 --> 00:38:22,600
+it as the sphere and I say that the other meridian
+
+496
+00:38:22,600 --> 00:38:28,580
+is plus 2 from it on an axisI deal with this
+
+497
+00:38:28,580 --> 00:38:32,420
+meridian that I want to increase There is another
+
+498
+00:38:32,420 --> 00:38:36,760
+way Which is the most commonly used and easiest
+
+499
+00:38:36,760 --> 00:38:42,620
+way To make a transposition I add the cylinder
+
+500
+00:38:42,620 --> 00:38:48,280
+with its sign to the sphere Then I change the sign
+
+501
+00:38:48,280 --> 00:38:51,500
+of the cylinder And I turn the axis 90 degrees
+
+502
+00:38:51,500 --> 00:38:57,860
+Let's see how this works We say as follows we have
+
+503
+00:38:57,860 --> 00:39:01,880
+minus 2, i want to add it to plus 4, so i have
+
+504
+00:39:01,880 --> 00:39:07,520
+plus 2 this is the new sphere this is the new
+
+505
+00:39:07,520 --> 00:39:12,720
+sphere okay, i want to change the sign of the
+
+506
+00:39:12,720 --> 00:39:18,040
+cylinder to plus 2 i
+
+507
+00:39:18,040 --> 00:39:23,000
+want to change the axis to 90 degrees it is 90, so
+
+508
+00:39:23,000 --> 00:39:27,570
+it will become 180 so noticeThe method is very
+
+509
+00:39:27,570 --> 00:39:30,310
+easy plus two plus two is one hundred and eighty
+
+510
+00:39:30,310 --> 00:39:33,650
+plus two plus two is one hundred and eighty So in
+
+511
+00:39:33,650 --> 00:39:37,490
+three very fast steps I add the cylinder to the
+
+512
+00:39:37,490 --> 00:39:40,770
+sphere, the first step, I add the cylinder to the
+
+513
+00:39:40,770 --> 00:39:44,170
+sphere all with signs, and we add a plural with
+
+514
+00:39:44,170 --> 00:39:48,270
+signs minus two and plus four, so I have plus two
+
+515
+00:39:48,270 --> 00:39:51,090
+The second step, this sign is minus, I want to
+
+516
+00:39:51,090 --> 00:39:54,100
+turn it into plusThe third thing is that I need to
+
+517
+00:39:54,100 --> 00:40:01,000
+change the axis 90 degrees The axis needs to
+
+518
+00:40:01,000 --> 00:40:04,520
+change 90 degrees, if it was 90 it became 180
+
+519
+00:40:04,520 --> 00:40:07,860
+degrees If this needs to do the same thing, I need
+
+520
+00:40:07,860 --> 00:40:10,440
+to do the transposition to change it to minus form
+
+521
+00:40:10,440 --> 00:40:16,160
+and not plus form The cylinder and the sphere
+
+522
+00:40:29,110 --> 00:40:31,530
+Cylinder and sphere we add them together, plus 2
+
+523
+00:40:31,530 --> 00:40:36,250
+and plus 2 I get plus 4 This is the new sphere Now
+
+524
+00:40:36,250 --> 00:40:40,360
+I change the sign of the cylinder to minus 2and
+
+525
+00:40:40,360 --> 00:40:46,160
+the axis 180 need to move 90 of course, any axis
+
+526
+00:40:46,160 --> 00:40:50,920
+above 90, we move 90 of it any axis above 90, 91,
+
+527
+00:40:51,500 --> 00:40:56,860
+92, 100, 110, 120, 170, 180, we move 90 of it, it
+
+528
+00:40:56,860 --> 00:40:59,880
+becomes 90 for me when I move 180, I move 90 of
+
+529
+00:40:59,880 --> 00:41:02,700
+it, so I have become
+
+530
+00:41:06,390 --> 00:41:10,290
+plus four minus two axis ninety degree plus four
+
+531
+00:41:10,290 --> 00:41:18,410
+minus two axis ninety degree plus four minus two
+
+532
+00:41:18,410 --> 00:41:22,730
+axis ninety degree plus four minus two axis ninety
+
+533
+00:41:22,730 --> 00:41:23,490
+degree plus four minus two axis ninety degree plus
+
+534
+00:41:23,490 --> 00:41:23,830
+four minus two axis ninety degree plus four minus
+
+535
+00:41:23,830 --> 00:41:24,990
+two axes ninety degree plus four minus two axes
+
+536
+00:41:24,990 --> 00:41:25,150
+ninety degree plus four minus two axes ninety
+
+537
+00:41:25,150 --> 00:41:25,350
+degree plus four minus two axes ninety degree plus
+
+538
+00:41:25,350 --> 00:41:26,550
+four minus two axes ninety degree plus four minus
+
+539
+00:41:26,550 --> 00:41:30,070
+two axes ninety degree plus four minus two axes
+
+540
+00:41:30,070 --> 00:41:32,570
+ninety degree plus four minus two axes ninety
+
+541
+00:41:32,570 --> 00:41:33,870
+degree plus four minus two axes ninety degree plus
+
+542
+00:41:33,870 --> 00:41:33,990
+two axes ninety degree plus four minus two axes
+
+543
+00:41:33,990 --> 00:41:34,730
+ninety degree plus four minus two axes ninety
+
+544
+00:41:34,730 --> 00:41:34,770
+axes ninety degree plus two axes ninety degree
+
+545
+00:41:34,770 --> 00:41:40,020
+plus two axes ninetyان انا ب .. اعمل transposition
+
+546
+00:41:40,020 --> 00:41:44,720
+او يعني تحويل من form ل form تاني بتلت خطوات سريع
+
+547
+00:41:44,720 --> 00:41:48,820
+ال cylinder بضيفه ل ال sphere بإشارته طبعا بطلع
+
+548
+00:41:48,820 --> 00:41:53,210
+عندى ل new sphereبغير إشارة ال cylinder بطلع عندى
+
+549
+00:41:53,210 --> 00:41:57,350
+ل new cylinder و بحول المحور تسعين درجة بحول
+
+550
+00:41:57,350 --> 00:42:01,830
+المحور تسعين درجة طبعا ضرورى هذا الكلام يكون يعني
+
+551
+00:42:01,830 --> 00:42:11,130
+واضح هنا واضح طب نشوف هنا عندنا مثال آخر نبدأ
+
+552
+00:42:11,130 --> 00:42:15,510
+في حلو المثال
+
+553
+00:42:15,510 --> 00:42:20,960
+بيقول plus خمسة minus ستة axis مية و تلاتينPlus
+
+554
+00:42:20,960 --> 00:42:24,680
+five minus six axis one hundred and thirty This
+
+555
+00:42:24,680 --> 00:42:29,560
+axis is one hundred and thirty So this line is one
+
+556
+00:42:29,560 --> 00:42:33,180
+hundred and thirty Plus five we say the sphere we
+
+557
+00:42:33,180 --> 00:42:40,280
+put it on the existing axis Now we say the other
+
+558
+00:42:40,280 --> 00:42:42,040
+axis if this axis is one hundred and thirty the
+
+559
+00:42:42,040 --> 00:42:47,850
+vertical axis on it is forty The axis is fortyHow
+
+560
+00:42:47,850 --> 00:42:49,650
+much is the force of the axis 40? This we know
+
+561
+00:42:49,650 --> 00:42:52,610
+that its force is plus 5 to the sphere and we put
+
+562
+00:42:52,610 --> 00:42:54,670
+it on the axis written in the spherical and
+
+563
+00:42:54,670 --> 00:42:58,250
+cylindrical form. We say that the other axis which
+
+564
+00:42:58,250 --> 00:43:03,170
+is 40 vertical to 130 of course is minus 6
+
+565
+00:43:03,170 --> 00:43:04,990
+degrees. Why is it minus? Because it is a minus
+
+566
+00:43:04,990 --> 00:43:09,810
+sign. It is minus 6 degrees from plus 5. 5 minus 6
+
+567
+00:43:09,810 --> 00:43:16,390
+remains minus 1 for me. Okay. NowIf my power cross
+
+568
+00:43:16,390 --> 00:43:19,630
+is ready, now if I want to take the plus 5, it
+
+569
+00:43:19,630 --> 00:43:24,110
+will be the same thing I want to take the other
+
+570
+00:43:24,110 --> 00:43:26,170
+meridian, the power of the other meridian, and
+
+571
+00:43:26,170 --> 00:43:29,950
+consider it as a sphere So minus 1 is a sphere,
+
+572
+00:43:31,290 --> 00:43:37,690
+and the second axis is 6From minus 1 to plus 5, it
+
+573
+00:43:37,690 --> 00:43:44,790
+adds 6 to it. So minus 1 plus 6 x is 40 to affect
+
+574
+00:43:44,790 --> 00:43:52,370
+130. If we want the quick way, we add the cylinder
+
+575
+00:43:52,370 --> 00:43:57,330
+to the sphere, minus 6 plus 5 remains minus 1. We
+
+576
+00:43:57,330 --> 00:44:00,290
+flip the sign of 6, which is minus, which becomes
+
+577
+00:44:00,290 --> 00:44:05,090
+plus.والمحور بنحركه تسعين درجة، مية و تلاتين ناقص
+
+578
+00:44:05,090 --> 00:44:08,790
+تسعين، بيضال أربعين degree فبالتالي أي من
+
+579
+00:44:08,790 --> 00:44:15,930
+الطريقتين اتبعت فهي يعني سهلة، فهي سهلة، بس طبعا
+
+580
+00:44:15,930 --> 00:44:21,100
+الطريقة التانية أسرع وأكثر استعمالهاA simpler
+
+581
+00:44:21,100 --> 00:44:24,380
+method is more frequently used to convert a
+
+582
+00:44:24,380 --> 00:44:27,340
+prescription from plus to minus cylindrical form,
+
+583
+00:44:27,760 --> 00:44:31,840
+or al-aqs, add sphere and cylindrical power
+
+584
+00:44:31,840 --> 00:44:34,220
+together to obtain the new sphere
+
+585
+00:44:41,690 --> 00:44:46,710
+it changed the sign of the cylinder rotate
+
+586
+00:44:46,710 --> 00:44:52,670
+the axis 90 degree to obtain the new axis to
+
+587
+00:44:52,670 --> 00:44:56,870
+obtain a new axis and at this point we stop and
+
+588
+00:44:56,870 --> 00:45:00,250
+next time we will take the combination of
+
+589
+00:45:00,250 --> 00:45:03,270
+spherical and cylindrical lenses and God bless you
+
+590
+00:45:03,270 --> 00:45:05,110
+and peace be upon you
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Ep-c1SfnZDY_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Ep-c1SfnZDY_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..661c1313dcaf58a513ab7746ce5aa2f121f6f727
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Ep-c1SfnZDY_raw.srt
@@ -0,0 +1,2428 @@
+1
+00:00:01,690 --> 00:00:04,610
+بسم الله الرحمن الرحيم، بنواصل مع محاضرات الـ
+
+2
+00:00:04,610 --> 00:00:10,570
+Geometric Optics، واتوقفنا عند الطرق اللي بقدر
+
+3
+00:00:10,570 --> 00:00:14,510
+أعبّر فيها عن الـ Spherical and Cylindrical Lens،
+
+4
+00:00:14,510 --> 00:00:19,290
+أو ال Powers، تاعة ال Meridians، تاعة ال Spherical
+
+5
+00:00:19,290 --> 00:00:22,470
+and Cylindrical Lens، إذن the Powers،in the
+
+6
+00:00:22,470 --> 00:00:25,570
+principal meridians and cylindrical axes of sphero
+
+7
+00:00:25,570 --> 00:00:28,990
+cylindrical lenses may be specified in several
+
+8
+00:00:28,990 --> 00:00:35,410
+ways يعني ممكن أعبر عنهم أو أكتبهم بطرق متعددة أول
+
+9
+00:00:35,410 --> 00:00:38,430
+طريقة بيسموها ال power cross the common graphical
+
+10
+00:00:38,430 --> 00:00:42,950
+method is called power cross يعني بعدي برسم power
+
+11
+00:00:42,950 --> 00:00:52,120
+cross هيرسمنا power crosswe can draw it like this
+
+12
+00:00:52,120 --> 00:01:08,540
+for example meridian of 90 and meridian of 180 and
+
+13
+00:01:08,540 --> 00:01:13,060
+write here for example plus 3 and plus 1 plus 3
+
+14
+00:01:13,060 --> 00:01:17,700
+and plus 1 of course plus 3 is more
+
+15
+00:01:29,280 --> 00:01:34,840
+and here plus one, this is better so
+
+16
+00:01:34,840 --> 00:01:38,600
+this
+
+17
+00:01:38,600 --> 00:01:43,030
+is called power crossThe word power across means
+
+18
+00:01:43,030 --> 00:01:46,830
+that it defines the power of each meridian. What
+
+19
+00:01:46,830 --> 00:01:49,210
+does it mean plus three diopter of the vertical
+
+20
+00:01:49,210 --> 00:01:51,770
+meridian or meridian ninety? It means that this
+
+21
+00:01:51,770 --> 00:01:54,550
+meridian ninety, when rays enter from it, from
+
+22
+00:01:54,550 --> 00:01:57,570
+this meridian, it is as if it entered from a plus
+
+23
+00:01:57,570 --> 00:02:00,190
+three diopter lens. It is as if it entered from a
+
+24
+00:02:00,190 --> 00:02:01,950
+sphere lens, but this is specific to this
+
+25
+00:02:01,950 --> 00:02:05,930
+meridian. The rays that enter from the horizontal
+
+26
+00:02:05,930 --> 00:02:09,430
+meridian are as if they entered from a plus one
+
+27
+00:02:09,430 --> 00:02:12,430
+lens.Of course, the meridians between them, their
+
+28
+00:02:12,430 --> 00:02:15,070
+forces are gradually rising in this direction,
+
+29
+00:02:15,250 --> 00:02:18,750
+here plus one and a half, plus two, plus three,
+
+30
+00:02:18,870 --> 00:02:22,170
+plus two and a half, plus three, or decreasing in
+
+31
+00:02:22,170 --> 00:02:25,570
+this direction, that is, each meridian acts as a
+
+32
+00:02:25,570 --> 00:02:26,690
+sphere by itself
+
+33
+00:02:49,090 --> 00:02:52,310
+across is a drone oriented in the principal
+
+34
+00:02:52,310 --> 00:02:52,970
+meridians
+
+35
+00:02:56,620 --> 00:03:00,780
+the first line in the cross is parallel to the
+
+36
+00:03:00,780 --> 00:03:06,240
+first line in the cross and the second line is
+
+37
+00:03:06,240 --> 00:03:06,420
+perpendicular to the first line in the cross and
+
+38
+00:03:06,420 --> 00:03:09,480
+the second line is perpendicular to the first line
+
+39
+00:03:09,480 --> 00:03:12,880
+in the cross and
+
+40
+00:03:12,880 --> 00:03:13,200
+the second line is perpendicular to the first line
+
+41
+00:03:13,200 --> 00:03:15,180
+in the cross and the second line is perpendicular
+
+42
+00:03:15,180 --> 00:03:16,020
+to the first line in the cross and the second line
+
+43
+00:03:16,020 --> 00:03:16,500
+is perpendicular to the first line in the cross
+
+44
+00:03:16,500 --> 00:03:17,800
+and the second line is perpendicular to the first
+
+45
+00:03:17,800 --> 00:03:19,280
+line in the cross and the second line is
+
+46
+00:03:19,280 --> 00:03:21,760
+perpendicular to the first line in the cross and
+
+47
+00:03:21,760 --> 00:03:22,200
+the second line is perpendicular to the first line
+
+48
+00:03:22,200 --> 00:03:23,060
+in the cross and the second line is perpendicular
+
+49
+00:03:23,060 --> 00:03:25,560
+to the first line in the cross and the second line
+
+50
+00:03:25,560 --> 00:03:25,560
+is perpendicular to the first line in the cross
+
+51
+00:03:25,560 --> 00:03:25,560
+and the second line is perpendicular to the first
+
+52
+00:03:25,560 --> 00:03:25,580
+line in the cross and the second line is
+
+53
+00:03:25,580 --> 00:03:25,580
+perpendicular to the first line in the cross and
+
+54
+00:03:25,580 --> 00:03:25,600
+the second line is perpendicular to the first line
+
+55
+00:03:25,600 --> 00:03:25,600
+in the cross and the second line is perpendicular
+
+56
+00:03:25,600 --> 00:03:25,600
+to the first line in the cross and the second line
+
+57
+00:03:25,600 --> 00:03:25,600
+is perpendicular to the first line in the cross
+
+58
+00:03:25,600 --> 00:03:25,600
+and the second line is perpendicular to the first
+
+59
+00:03:25,600 --> 00:03:33,670
+line in the cross andso meridian at 120 degrees
+
+60
+00:03:33,670 --> 00:03:37,530
+and meridian at 30 degrees depending on which
+
+61
+00:03:37,530 --> 00:03:40,290
+meridian is stronger or weaker but it is very
+
+62
+00:03:40,290 --> 00:03:43,410
+important that the angle between the stronger and
+
+63
+00:03:43,410 --> 00:03:45,830
+weaker meridian is 90 degrees
+
+64
+00:03:54,000 --> 00:03:57,500
+A cross is a drone oriented in the principal
+
+65
+00:03:57,500 --> 00:04:01,340
+meridians and
+
+66
+00:04:01,340 --> 00:04:06,260
+each arm of the cross is labeled with the power
+
+67
+00:04:06,260 --> 00:04:07,860
+acting in that meridian.
+
+68
+00:04:20,510 --> 00:04:24,690
+plus one, we write plus one, minus four, we write
+
+69
+00:04:24,690 --> 00:04:27,270
+minus four, as much as the power of this meridian,
+
+70
+00:04:27,310 --> 00:04:30,650
+the meridian can work as a plus lens, or the
+
+71
+00:04:30,650 --> 00:04:34,090
+meridian can work as a minus lens, as a minus
+
+72
+00:04:34,090 --> 00:04:40,700
+lens, so the first way of expressionIt's the way
+
+73
+00:04:40,700 --> 00:04:44,560
+of power across This describes the spherical and
+
+74
+00:04:44,560 --> 00:04:48,660
+cylindrical down The second way is called the
+
+75
+00:04:48,660 --> 00:04:53,640
+combined cylindrical form The
+
+76
+00:04:53,640 --> 00:05:00,160
+same power cross If I find this meridian strength
+
+77
+00:05:00,160 --> 00:05:03,860
+plus one and this meridian strength plus threeI
+
+78
+00:05:03,860 --> 00:05:07,480
+want to come to the spherical-cylindrical lens and
+
+79
+00:05:07,480 --> 00:05:11,820
+compensate for it with two cylinders. So that the
+
+80
+00:05:11,820 --> 00:05:16,380
+force at the vertical meridian is Q2 plus 3 and
+
+81
+00:05:16,380 --> 00:05:19,940
+the horizontal meridian is Q2 plus 1. Look at this
+
+82
+00:05:19,940 --> 00:05:26,900
+view. This is the planocylindrical lens.
+
+83
+00:05:27,440 --> 00:05:29,040
+Planocylindrical lens
+
+84
+00:05:41,850 --> 00:05:44,810
+Planoconvex lens which is cylindrical lens plus
+
+85
+00:05:44,810 --> 00:05:47,790
+cylindrical lens which is painted in white The
+
+86
+00:05:47,790 --> 00:05:51,350
+axis is horizontal, so its force is vertical This
+
+87
+00:05:51,350 --> 00:05:54,610
+force must be plus three diopters to give me a
+
+88
+00:05:54,610 --> 00:05:58,890
+vertical effect plus three diopters So I say here
+
+89
+00:05:58,890 --> 00:06:02,010
+Spherocylindrical
+
+90
+00:06:02,010 --> 00:06:05,910
+lens which we saw in this exampleand the vertical
+
+91
+00:06:05,910 --> 00:06:08,910
+meridian is plus 3 and the horizontal meridian is
+
+92
+00:06:08,910 --> 00:06:12,050
+plus 1 I can express them in the combined
+
+93
+00:06:12,050 --> 00:06:16,410
+cylindrical form meaning two cylinders together I
+
+94
+00:06:16,410 --> 00:06:21,650
+put in front of the patient's eye a cylindrical
+
+95
+00:06:21,650 --> 00:06:24,990
+lens of course plano cylindrical meaning that the
+
+96
+00:06:24,990 --> 00:06:31,260
+sphere has zero on plus threewhere is the axis?
+
+97
+00:06:31,780 --> 00:06:34,360
+this is the axis of the cylinder 180 degrees to
+
+98
+00:06:34,360 --> 00:06:40,480
+affect 90 degrees and also it has plan and convex
+
+99
+00:06:40,480 --> 00:06:47,780
+lens with power plus one plus one diopter cylinder
+
+100
+00:06:47,780 --> 00:06:51,820
+in
+
+101
+00:06:51,820 --> 00:06:58,770
+axis 90 degrees in axis 90 degreesنعمل بس ال
+
+102
+00:06:58,770 --> 00:07:07,150
+degree نعمل إدراج و
+
+103
+00:07:07,150 --> 00:07:16,170
+هنا نعملها نفس الشيء
+
+104
+00:07:16,170 --> 00:07:20,730
+ما
+
+105
+00:07:20,730 --> 00:07:24,450
+معنى هذا الكلام؟ معنى هذا الكلام
+
+106
+00:07:27,030 --> 00:07:32,310
+is if you bring a planoconvex cylinder which is
+
+107
+00:07:32,310 --> 00:07:36,850
+written in white color and you put its axis on 180
+
+108
+00:07:36,850 --> 00:07:42,370
+the maximum power will be 90 what is the maximum
+
+109
+00:07:42,370 --> 00:07:46,590
+power? it is plus 3 so meridian will have 90 and
+
+110
+00:07:46,590 --> 00:07:50,670
+its force will be plus 3 and if you bring with it
+
+111
+00:07:50,670 --> 00:07:56,290
+also in front or behind plus 1diopter cylinder
+
+112
+00:07:56,290 --> 00:07:59,810
+liplano convex its power is plus one diopter I put
+
+113
+00:07:59,810 --> 00:08:05,030
+its axis which is drawn in red I put its axis on
+
+114
+00:08:05,030 --> 00:08:09,550
+ninety its maximum power which is plus one will be
+
+115
+00:08:09,550 --> 00:08:13,150
+one hundred and eighty this means that I have
+
+116
+00:08:13,150 --> 00:08:16,070
+meridian ninety its power is plus three and
+
+117
+00:08:16,070 --> 00:08:18,730
+meridian one hundred and eighty its power is plus
+
+118
+00:08:18,730 --> 00:08:22,470
+one so instead of expressing by power across I say
+
+119
+00:08:23,140 --> 00:08:27,480
+Sphero-cylindrical lens are two cylinders
+
+120
+00:08:27,480 --> 00:08:33,780
+perpendicular to each other's axes
+
+121
+00:08:33,780 --> 00:08:38,960
+So this is another way to express the sphero
+
+122
+00:08:38,960 --> 00:08:43,420
+-cylindrical lens Here, the power of the cross
+
+123
+00:08:43,420 --> 00:08:47,060
+represents the force of each meridian Here is
+
+124
+00:08:47,060 --> 00:08:50,900
+another form of expression which is the combined
+
+125
+00:08:50,900 --> 00:08:57,160
+cylindrical formThe third shape is the most common
+
+126
+00:08:57,160 --> 00:08:59,760
+shape, which is the spherical cylindrical form.
+
+127
+00:09:02,280 --> 00:09:06,120
+Instead of putting two cylinders, I put a sphere
+
+128
+00:09:06,120 --> 00:09:08,720
+with a cylinder, and in the end it will be the
+
+129
+00:09:08,720 --> 00:09:12,880
+same result. The result says that the force of the
+
+130
+00:09:12,880 --> 00:09:16,280
+meridian 90 must be plus 3, and the force of the
+
+131
+00:09:16,280 --> 00:09:18,740
+meridian 180 must be plus 1.
+
+132
+00:09:21,830 --> 00:09:25,110
+The spherical cylindrical form is what? The
+
+133
+00:09:25,110 --> 00:09:27,890
+spherical cylindrical form is that I want to bring
+
+134
+00:09:27,890 --> 00:09:31,030
+a spherical lens. Why? Because I want to put the
+
+135
+00:09:31,030 --> 00:09:34,510
+blue circle in front of the patient's eye plus one
+
+136
+00:09:34,510 --> 00:09:37,590
+diopter. What does plus one diopter mean? It means
+
+137
+00:09:37,590 --> 00:09:41,790
+that each meridian of its meridian is plus one.
+
+138
+00:09:42,150 --> 00:09:44,170
+The horizontal meridian is plus one and the
+
+139
+00:09:44,170 --> 00:09:48,090
+vertical meridian is plus one. When we put a
+
+140
+00:09:48,090 --> 00:09:51,080
+spherical lens in front of the eyeThe power of the
+
+141
+00:09:51,080 --> 00:09:54,200
+spherical lens is equal in all meridians. What is
+
+142
+00:09:54,200 --> 00:09:57,420
+the horizontal meridian? As if I gave it plus one
+
+143
+00:09:59,110 --> 00:10:01,650
+And the vertical meridian gave it plus one, and
+
+144
+00:10:01,650 --> 00:10:03,450
+what's between them, but what's between them is
+
+145
+00:10:03,450 --> 00:10:07,110
+not necessary to clarify the issue So when I put
+
+146
+00:10:07,110 --> 00:10:09,390
+plus one in the diopter sphere, then the
+
+147
+00:10:09,390 --> 00:10:12,050
+horizontal meridian gave it plus one, and the
+
+148
+00:10:12,050 --> 00:10:15,930
+vertical meridian gave it plus one Okay, the
+
+149
+00:10:15,930 --> 00:10:18,730
+vertical meridian's true force is plus three, how
+
+150
+00:10:18,730 --> 00:10:21,710
+do I make it plus three?We added the sphere to it
+
+151
+00:10:21,710 --> 00:10:23,930
+and it became plus one, but it's missing two. We
+
+152
+00:10:23,930 --> 00:10:27,230
+also need to add two to it. We also need to add
+
+153
+00:10:27,230 --> 00:10:29,970
+two to it. How do we add two to it? In the
+
+154
+00:10:29,970 --> 00:10:34,390
+following way, we put a cylinder with its axis at
+
+155
+00:10:34,390 --> 00:10:37,630
+180 degrees so that its force becomes 90 degrees.
+
+156
+00:10:40,250 --> 00:10:45,630
+Plus 2 diopter, Planoconvex,
+
+157
+00:10:45,910 --> 00:10:51,310
+Axis is 180 because its effect is 90 At the
+
+158
+00:10:51,310 --> 00:10:55,890
+sphere, its force is equal to plus 1 diopter, so
+
+159
+00:10:55,890 --> 00:11:00,670
+all meridians take plus 1 diopterIt is the rays
+
+160
+00:11:00,670 --> 00:11:02,650
+that will enter from the horizontal meridian to
+
+161
+00:11:02,650 --> 00:11:06,150
+the sphere It will enter from a plus one diopter
+
+162
+00:11:06,150 --> 00:11:08,130
+lens And the rays that will enter from the
+
+163
+00:11:08,130 --> 00:11:11,990
+vertical meridian will also enter from a meridian
+
+164
+00:11:11,990 --> 00:11:15,110
+with a force plus one diopter And any axis between
+
+165
+00:11:15,110 --> 00:11:18,210
+them also has a force as if it is a plus one
+
+166
+00:11:18,210 --> 00:11:21,650
+diopter lens This is for the sphere For the
+
+167
+00:11:21,650 --> 00:11:24,950
+cylinder, if we put its axis on one hundred and
+
+168
+00:11:24,950 --> 00:11:28,760
+eighty, its force is one hundred and eighty zeroit
+
+169
+00:11:28,760 --> 00:11:31,440
+will not affect 180, it will not add to this plus
+
+170
+00:11:31,440 --> 00:11:34,800
+one anything while all its force is out of its
+
+171
+00:11:34,800 --> 00:11:40,400
+axis at 180 its maximum power will be at 90 its
+
+172
+00:11:40,400 --> 00:11:44,540
+maximum power is plus two, so the vertical
+
+173
+00:11:44,540 --> 00:11:48,320
+meridian will be plus two and there is plus one
+
+174
+00:11:48,320 --> 00:11:52,920
+with it basically from the spherical lens, so it
+
+175
+00:11:52,920 --> 00:11:57,280
+will line up their groupplus one plus zero plus
+
+176
+00:11:57,280 --> 00:12:00,200
+one this is the axis of the horizontal axis plus
+
+177
+00:12:00,200 --> 00:12:03,780
+one plus two from the cylinder from the plano
+
+178
+00:12:03,780 --> 00:12:07,380
+convex then it will be plus three this is how it
+
+179
+00:12:07,380 --> 00:12:11,040
+is written how do I write this? we write this in
+
+180
+00:12:11,040 --> 00:12:16,400
+writing we give in front of the patient plus one
+
+181
+00:12:16,400 --> 00:12:21,780
+this is the diopterosphere and
+
+182
+00:12:21,780 --> 00:12:29,750
+the cylinder plus twoDiopter cylinder على المحور
+
+183
+00:12:29,750 --> 00:12:33,450
+بتاع السيليندر عشان تأثرلي ع تسعين بتنحط على مية و
+
+184
+00:12:33,450 --> 00:12:39,650
+تمانية اذا هدى هدى للسفير و cylindrical for سفير
+
+185
+00:12:39,650 --> 00:12:49,130
+plus واحد diopter plus واحد diopter سفيرplus 2 is
+
+186
+00:12:49,130 --> 00:12:52,210
+the diameter of a cylinder in the axis 180 in the
+
+187
+00:12:52,210 --> 00:12:57,410
+axis 180 I can write it in another way, yes I can
+
+188
+00:12:57,410 --> 00:13:01,130
+write it in another way, in another way, but
+
+189
+00:13:01,130 --> 00:13:03,190
+sometimes I have to change the direction of the
+
+190
+00:13:03,190 --> 00:13:06,290
+cylinder, and we will get this in due course, God
+
+191
+00:13:06,290 --> 00:13:10,890
+willing. So this is the third form of the forms of
+
+192
+00:13:10,890 --> 00:13:13,250
+expression for the spherical cylindrical, the
+
+193
+00:13:13,250 --> 00:13:19,460
+first formwhich is power cross I can write power
+
+194
+00:13:19,460 --> 00:13:24,150
+crossI can write it in combined cylindrical form,
+
+195
+00:13:24,670 --> 00:13:28,370
+meaning two cylinders together I can write it in
+
+196
+00:13:28,370 --> 00:13:31,950
+spherical cylindrical form, which is the most
+
+197
+00:13:31,950 --> 00:13:35,570
+common form Or I can express it in spherical
+
+198
+00:13:35,570 --> 00:13:38,390
+equivalent form, meaning I put a lens in a sphere
+
+199
+00:13:38,390 --> 00:13:42,230
+and I say plus 2 diopter, sphere, why plus 2
+
+200
+00:13:42,230 --> 00:13:45,230
+diopter? We will say, because to get the spherical
+
+201
+00:13:45,230 --> 00:13:51,350
+equivalentI say plus three plus one plus four
+
+202
+00:13:51,350 --> 00:13:53,790
+divided by two which is the average force of the
+
+203
+00:13:53,790 --> 00:13:56,730
+stronger meridian with the weaker meridian which
+
+204
+00:13:56,730 --> 00:14:02,290
+is the spherical equivalent plus three which is
+
+205
+00:14:02,290 --> 00:14:04,410
+the vertical and plus one which is the horizontal
+
+206
+00:14:04,410 --> 00:14:06,730
+we combine them together and we get plus four
+
+207
+00:14:06,730 --> 00:14:08,730
+which is divided by their number which is two
+
+208
+00:14:08,730 --> 00:14:12,530
+which means I get plus two so I can express about
+
+209
+00:14:12,530 --> 00:14:17,910
+the spherical cylindricallens with four forms,
+
+210
+00:14:18,410 --> 00:14:22,010
+which are power cross, combined cylindrical form,
+
+211
+00:14:22,570 --> 00:14:24,830
+sphero cylindrical form which is the most common
+
+212
+00:14:24,830 --> 00:14:27,650
+one, or spherical equivalent or spherical
+
+213
+00:14:27,650 --> 00:14:32,700
+equivalentNow, how do I write the spherical
+
+214
+00:14:32,700 --> 00:14:35,740
+cylindrical form, which is the most common
+
+215
+00:14:35,740 --> 00:14:40,640
+spherical cylindrical form We write the sphere, we
+
+216
+00:14:40,640 --> 00:14:42,880
+write the cylinder, we write the axis of the
+
+217
+00:14:42,880 --> 00:14:45,860
+cylinder The axis of the cylinder cannot be
+
+218
+00:14:45,860 --> 00:14:48,720
+written as cylindrical lens without writing its
+
+219
+00:14:48,720 --> 00:14:53,260
+axis The sphere has no axis, its force is on all
+
+220
+00:14:53,260 --> 00:14:56,780
+meridians unitedHere, when we wrote the cylinder,
+
+221
+00:14:57,360 --> 00:14:59,740
+we wrote its axis. When we wrote the second
+
+222
+00:14:59,740 --> 00:15:02,080
+cylinder, we wrote its axis. So it is very
+
+223
+00:15:02,080 --> 00:15:05,740
+important that this issue is not forgotten The
+
+224
+00:15:05,740 --> 00:15:09,000
+most common written notation specifies sphere
+
+225
+00:15:09,000 --> 00:15:11,740
+power, I write the sphere, then I write the
+
+226
+00:15:11,740 --> 00:15:15,200
+cylindrical power and the axis of the cylinder The
+
+227
+00:15:15,200 --> 00:15:19,820
+axis of the cylinder Now there are examples, all
+
+228
+00:15:19,820 --> 00:15:23,520
+for the same lensIt's all for the same lens Let's
+
+229
+00:15:23,520 --> 00:15:29,080
+try to conclude this case Combined cylindrical
+
+230
+00:15:29,080 --> 00:15:36,100
+form I have plus 1 by 180 plus 1 by 180 and plus 4
+
+231
+00:15:36,100 --> 00:15:40,240
+in axis 90 When we convert it to power cross
+
+232
+00:15:51,820 --> 00:15:56,900
+this is a cylinder, plus one, its axis is one
+
+233
+00:15:56,900 --> 00:16:00,580
+hundred eighty, so its force is ninety, so plus
+
+234
+00:16:00,580 --> 00:16:02,880
+one works on the axis of ninety
+
+235
+00:16:18,970 --> 00:16:20,950
+I also have a cylinder which is the combined
+
+236
+00:16:20,950 --> 00:16:24,510
+cylinder form plus 4 over 90 as long as the axis
+
+237
+00:16:24,510 --> 00:16:34,890
+is plus 4 over 90 then its force is 108 plus
+
+238
+00:16:34,890 --> 00:16:39,990
+4 diode so I converted the combined cylindrical
+
+239
+00:16:39,990 --> 00:16:43,360
+form to power crossThis is how I converted the
+
+240
+00:16:43,360 --> 00:16:48,660
+Combined Cylindrical Form to Power Cross Now I
+
+241
+00:16:48,660 --> 00:16:58,640
+want to convert it to Power Cross This
+
+242
+00:16:58,640 --> 00:17:04,740
+is
+
+243
+00:17:04,740 --> 00:17:06,940
+what we did now, we converted the Combined
+
+244
+00:17:06,940 --> 00:17:11,570
+Cylindrical Form to Power Crossnow we want to
+
+245
+00:17:11,570 --> 00:17:15,070
+write or write the combined cylindrical form and
+
+246
+00:17:15,070 --> 00:17:19,810
+turn it into a spherical cylindrical lens either I
+
+247
+00:17:19,810 --> 00:17:22,790
+turn it into a power cross or I turn it into a
+
+248
+00:17:22,790 --> 00:17:25,270
+combined cylindrical form but into a power cross
+
+249
+00:17:25,270 --> 00:17:28,530
+because it's graphical because it's official, it's
+
+250
+00:17:28,530 --> 00:17:32,850
+better for me I need two things either I say as
+
+251
+00:17:32,850 --> 00:17:34,490
+follows the first picture
+
+252
+00:17:37,440 --> 00:17:39,920
+We take the strongest meridian and say that plus 4
+
+253
+00:17:39,920 --> 00:17:47,500
+is the sphere. When I say that I have plus 4
+
+254
+00:17:47,500 --> 00:17:51,540
+spheres, it means that I gave all the meridians
+
+255
+00:17:51,540 --> 00:17:55,000
+plus 4. This is plus 4 and this is plus 4 and what
+
+256
+00:17:55,000 --> 00:17:57,800
+is between them. It is like a spherical lens, all
+
+257
+00:17:57,800 --> 00:18:01,640
+the meridians have strength plus 4.But the
+
+258
+00:18:01,640 --> 00:18:05,760
+meridian is less than plus 4 How can we make it
+
+259
+00:18:05,760 --> 00:18:09,340
+plus 1? We have to divide it by 3 So we gave them
+
+260
+00:18:09,340 --> 00:18:16,060
+all plus 4 spheres We say plus 4 spheres minus 3
+
+261
+00:18:16,060 --> 00:18:20,400
+But I want the minus 3 to have an effect of 90Its
+
+262
+00:18:20,400 --> 00:18:26,060
+effect is 90, so its axis must be 180 High Sphero
+
+263
+00:18:26,060 --> 00:18:29,660
+Cylindrical Lens Let's do it in the way of power
+
+264
+00:18:29,660 --> 00:18:32,360
+across In the way of power cross, we say as
+
+265
+00:18:32,360 --> 00:18:42,400
+follows In
+
+266
+00:18:42,400 --> 00:18:47,620
+the way of power cross We lower it
+
+267
+00:18:54,120 --> 00:18:55,600
+In order to expand the distance
+
+268
+00:19:24,490 --> 00:19:30,470
+Here we say we took plus 4 and put it as a sphere,
+
+269
+00:19:30,790 --> 00:19:41,770
+which means all meridians were given plus 4 The
+
+270
+00:19:41,770 --> 00:19:43,750
+horizontal meridian and the vertical meridian
+
+271
+00:20:13,770 --> 00:20:16,390
+But we know that the vertical meridian is plus
+
+272
+00:20:16,390 --> 00:20:19,830
+one, not plus four, so we need to adjust it from
+
+273
+00:20:19,830 --> 00:20:24,370
+plus four to plus one So we need to give it
+
+274
+00:20:24,370 --> 00:20:31,030
+planoconcave, meaning cylindrical lens should have
+
+275
+00:20:31,030 --> 00:20:34,390
+minus cylinder
+
+276
+00:20:47,130 --> 00:20:50,470
+When I put the minus cylinder on 180, its force on
+
+277
+00:20:50,470 --> 00:20:59,630
+180 is zero Of
+
+278
+00:20:59,630 --> 00:21:02,990
+course,
+
+279
+00:21:03,150 --> 00:21:07,190
+the axis is 180, which means that the total force
+
+280
+00:21:07,190 --> 00:21:10,990
+or the strongest force on it is 90, which is its
+
+281
+00:21:10,990 --> 00:21:12,130
+force minus three
+
+282
+00:21:15,310 --> 00:21:22,910
+minus 3 diopter In
+
+283
+00:21:22,910 --> 00:21:25,430
+spherical and cylindrical lens, it is as if a
+
+284
+00:21:25,430 --> 00:21:27,830
+sphere has four forces, which are distributed by
+
+285
+00:21:27,830 --> 00:21:32,050
+each of the four forces, each meridian has four
+
+286
+00:21:32,050 --> 00:21:37,490
+forces. In a cylinder, the axis is 180 degrees,
+
+287
+00:21:37,530 --> 00:21:39,250
+which means that the force of the vertical axis is
+
+288
+00:21:39,250 --> 00:21:44,140
+minus 3.because it's vertical to the axis when we
+
+289
+00:21:44,140 --> 00:21:45,960
+see the result like this, what happened to me?
+
+290
+00:21:51,460 --> 00:22:00,860
+the result is equal to the next cross zoom
+
+291
+00:22:00,860 --> 00:22:01,280
+in a little bit below
+
+292
+00:22:15,760 --> 00:22:21,700
+The vertical meridian has a force that acts as if
+
+293
+00:22:21,700 --> 00:22:25,880
+there is a plus 4 in front of it and a minus 3 in
+
+294
+00:22:25,880 --> 00:22:27,620
+front of it at the same time, so it acts as if
+
+295
+00:22:27,620 --> 00:22:29,980
+there is a plus 1 in front of it as if there is a
+
+296
+00:22:29,980 --> 00:22:39,200
+plus 1 in front of it This is the vertical axis I
+
+297
+00:22:39,200 --> 00:22:43,400
+will write it below the meridian to make it easier
+
+298
+00:22:43,400 --> 00:22:43,500
+to understand
+
+299
+00:22:46,700 --> 00:22:50,740
+this is a point, the second point here is plus
+
+300
+00:22:50,740 --> 00:22:55,920
+four plus zero plus four, it remains plus four
+
+301
+00:23:05,030 --> 00:23:08,230
+The same power across, horizontal, plus four, and
+
+302
+00:23:08,230 --> 00:23:10,750
+vertical, plus one I expressed them in
+
+303
+00:23:10,750 --> 00:23:14,550
+cylindrical, spherical, cylindrical form, but the
+
+304
+00:23:14,550 --> 00:23:16,990
+cylinder has minus, that's why it's called minus
+
+305
+00:23:16,990 --> 00:23:20,770
+cylinder form, which is this third line, plus
+
+306
+00:23:20,770 --> 00:23:24,110
+four, minus three, axis one hundred and eighty Now
+
+307
+00:23:24,110 --> 00:23:27,630
+we want to repeat all this, but we want to make
+
+308
+00:23:27,630 --> 00:23:28,590
+the cylinder plus
+
+309
+00:23:32,150 --> 00:23:34,910
+Here we will leave the sphere, no we have to
+
+310
+00:23:34,910 --> 00:23:43,530
+change it to get the plus cylinder So
+
+311
+00:23:43,530 --> 00:23:48,830
+plus
+
+312
+00:23:48,830 --> 00:23:55,930
+4 minus 3, axis 180, here we will delete it, here
+
+313
+00:23:55,930 --> 00:23:57,930
+also delete it
+
+314
+00:24:01,600 --> 00:24:04,600
+So we expressed it with combined cylindrical form
+
+315
+00:24:04,600 --> 00:24:09,080
+We expressed it with power cross And we expressed
+
+316
+00:24:09,080 --> 00:24:12,100
+it with spherical cylindrical lens with minus in
+
+317
+00:24:12,100 --> 00:24:14,340
+the cylinder Now we want to express it with
+
+318
+00:24:14,340 --> 00:24:17,660
+spherical cylindrical lens with plus in the sphere
+
+319
+00:24:17,660 --> 00:24:20,800
+We say that this is the power cross The power
+
+320
+00:24:20,800 --> 00:24:23,700
+cross is plus one vertical and plus four
+
+321
+00:24:23,700 --> 00:24:27,500
+horizontal I can consider that I want to give a
+
+322
+00:24:27,500 --> 00:24:30,180
+sphere to all meridians with power plus one
+
+323
+00:24:37,910 --> 00:24:40,770
+So the vertical meridian took its full size which
+
+324
+00:24:40,770 --> 00:24:44,610
+is plus one, I changed it, it has nothing left For
+
+325
+00:24:44,610 --> 00:24:47,130
+plus four which is the horizontal meridian, I gave
+
+326
+00:24:47,130 --> 00:24:50,230
+it plus one, it still has plus three, I want to
+
+327
+00:24:50,230 --> 00:24:53,870
+add plus three to it, we say as follows, let's
+
+328
+00:24:53,870 --> 00:24:55,990
+assume that the sphere is plus one
+
+329
+00:24:59,710 --> 00:25:03,110
+And I want to add plus 3 to the horizontal axis to
+
+330
+00:25:03,110 --> 00:25:05,450
+make it plus 4, because it's force is actually
+
+331
+00:25:05,450 --> 00:25:10,290
+plus 4 How do I add plus 3 to it? I bring plano
+
+332
+00:25:10,290 --> 00:25:15,090
+convex plus cylinder and I put its axis on 90, its
+
+333
+00:25:15,090 --> 00:25:20,650
+force will be 180, so plus 3this is what is
+
+334
+00:25:20,650 --> 00:25:23,430
+missing for meridian which has a force of 4
+
+335
+00:25:23,430 --> 00:25:27,990
+diopters, it took one of the spheres and left
+
+336
+00:25:27,990 --> 00:25:30,270
+three of them, the three of them, in order to
+
+337
+00:25:30,270 --> 00:25:32,870
+affect it, the axis of the lens of the plus
+
+338
+00:25:32,870 --> 00:25:38,040
+cylinder must be 90 degrees, then in axis90 as we
+
+339
+00:25:38,040 --> 00:25:44,100
+see here plus 1 plus 3 axis 90 okay here I say
+
+340
+00:25:44,100 --> 00:25:50,320
+when axis is at 90 it means force is at 180 so
+
+341
+00:25:50,320 --> 00:25:57,940
+force becomes here at 180 which is plus 3 plus 3
+
+342
+00:25:57,940 --> 00:25:58,660
+diopter
+
+343
+00:26:08,530 --> 00:26:13,730
+So, plus three is negative And
+
+344
+00:26:13,730 --> 00:26:16,690
+here, as long as the axis of the lens is at ninety
+
+345
+00:26:16,690 --> 00:26:19,370
+As long as the axis is at ninety, the force at
+
+346
+00:26:19,370 --> 00:26:22,910
+ninety is zero Zero
+
+347
+00:26:32,370 --> 00:26:34,870
+So this is the spherical lens plus one, each
+
+348
+00:26:34,870 --> 00:26:38,130
+meridian is plus one, and this is the cylindrical
+
+349
+00:26:38,130 --> 00:26:41,990
+lens, its axis is ninety, so its total force or
+
+350
+00:26:41,990 --> 00:26:46,490
+maximum power is one hundred and eighty. The
+
+351
+00:26:46,490 --> 00:26:50,910
+result is plus one horizontally with plus three
+
+352
+00:26:50,910 --> 00:26:53,550
+horizontally, which is plus four, plus four on the
+
+353
+00:26:53,550 --> 00:26:54,170
+horizontal axis.
+
+354
+00:27:04,260 --> 00:27:09,060
+Plus one plus zero means plus one on the vertical
+
+355
+00:27:09,060 --> 00:27:15,780
+axis This
+
+356
+00:27:15,780 --> 00:27:18,240
+is how I get the same power across So this
+
+357
+00:27:18,240 --> 00:27:21,140
+spherical and cylindrical lens is called plus
+
+358
+00:27:21,140 --> 00:27:25,220
+cylindrical form And the previous one is minus
+
+359
+00:27:25,220 --> 00:27:30,750
+cylindrical formNow we have the last method which
+
+360
+00:27:30,750 --> 00:27:35,670
+is the spherical equivalent. I add the two
+
+361
+00:27:35,670 --> 00:27:38,450
+meridians, the weakest and strongest, plus one and
+
+362
+00:27:38,450 --> 00:27:41,010
+plus four, which is plus five divided by two, plus
+
+363
+00:27:41,010 --> 00:27:44,130
+two and a half diopter. So I can say that if we
+
+364
+00:27:44,130 --> 00:27:47,490
+bring a sphere plus two diopters, it becomes a
+
+365
+00:27:47,490 --> 00:27:52,570
+spherical and cylindrical lens. We repeat again.To
+
+366
+00:27:52,570 --> 00:27:56,630
+express the astigmatic lens, I either use power
+
+367
+00:27:56,630 --> 00:28:03,230
+cross, combined cylindrical form, or spherical
+
+368
+00:28:03,230 --> 00:28:08,630
+cylindrical form, which is the most common, and
+
+369
+00:28:08,630 --> 00:28:11,510
+there are two forms of it, plus cylindrical form,
+
+370
+00:28:11,670 --> 00:28:15,710
+which we see here, and minus cylindrical form,
+
+371
+00:28:15,790 --> 00:28:18,650
+which we explained in the example, or spherical
+
+372
+00:28:18,650 --> 00:28:21,130
+equivalent
+
+373
+00:28:21,710 --> 00:28:27,590
+طبعا هدولة كلهم أشكال لنفس العدسة Remember that or
+
+374
+00:28:27,590 --> 00:28:30,290
+the following example of sphero cylindrical
+
+375
+00:28:30,290 --> 00:28:35,250
+expression are entirely equivalent مكافئين لبعض من
+
+376
+00:28:35,250 --> 00:28:40,530
+البعض بشكل كامل شكل كامل بدنا نتذكر و احنا بنعمل
+
+377
+00:28:40,530 --> 00:28:44,730
+أي شكل من الأشكال الأربعةThe maximum power of a
+
+378
+00:28:44,730 --> 00:28:48,150
+cylinder is in the meridian 90 degrees away from
+
+379
+00:28:48,150 --> 00:28:49,590
+the axis of the cylinder
+
+380
+00:29:11,390 --> 00:29:17,790
+to avoid errors in transcription it
+
+381
+00:29:17,790 --> 00:29:20,930
+is helpful to notate the axis using all three
+
+382
+00:29:20,930 --> 00:29:25,430
+digits and dropping the degree notation in other
+
+383
+00:29:25,430 --> 00:29:30,350
+words if you notice the word degree is not written
+
+384
+00:29:30,350 --> 00:29:32,870
+here why is the word degree not written here? we
+
+385
+00:29:32,870 --> 00:29:34,570
+can lower it and then lower it again
+
+386
+00:29:40,110 --> 00:29:45,770
+نقول ليش احنا مش كاتبينها أحيانا
+
+387
+00:29:45,770 --> 00:29:48,970
+الإنسان مع السرع بيكتب كلمة degree بس بتكبر معاه
+
+388
+00:29:48,970 --> 00:29:54,190
+شوية الحجم بتاعها فمثلا على سبيل المثال، بدي أكتب
+
+389
+00:29:54,190 --> 00:29:58,670
+axis 11 و
+
+390
+00:29:58,670 --> 00:30:06,240
+degree على سبيل المثال degreeيعني ال .. ال
+
+391
+00:30:06,240 --> 00:30:09,660
+cylinder بده أحطها على degree .. على أحداشر degree
+
+392
+00:30:09,660 --> 00:30:14,840
+أو خلينا نقول على عشرةon the axis of 10, the axis
+
+393
+00:30:14,840 --> 00:30:17,840
+of the cylinder on the axis of 10 and it was
+
+394
+00:30:17,840 --> 00:30:22,760
+written 10 degree and the circles of the degree
+
+395
+00:30:22,760 --> 00:30:26,580
+became not 10 but 100 so sometimes who wants to
+
+396
+00:30:26,580 --> 00:30:30,880
+implement this recipe of the glasses will have a
+
+397
+00:30:30,880 --> 00:30:34,640
+problem he will make the axis on 100 not on 10
+
+398
+00:30:34,640 --> 00:30:38,440
+which means the axis is wrongتماما access خطأ بشكل
+
+399
+00:30:38,440 --> 00:30:43,120
+كامل فبالتالي الأفضل انه انا بستعمل three digits
+
+400
+00:30:43,120 --> 00:30:48,060
+أرقام ثلاثية لكل عدسة من العدسات ال .. ال .. و
+
+401
+00:30:48,060 --> 00:30:52,040
+بالتالي ب .. الأفضل انه ماكتبش كلمة degree مفهومة
+
+402
+00:30:52,040 --> 00:30:58,200
+انه degree and
+
+403
+00:30:58,200 --> 00:31:03,780
+dropping the degree notationI write axis from
+
+404
+00:31:03,780 --> 00:31:09,500
+three numbers and I don't write degree So it's
+
+405
+00:31:09,500 --> 00:31:13,420
+better than to write it and make a mistake in
+
+406
+00:31:13,420 --> 00:31:16,800
+pronouncing it Now we come to transposition
+
+407
+00:31:16,800 --> 00:31:22,980
+Transposition means to change the plus cylindrical
+
+408
+00:31:22,980 --> 00:31:27,080
+form to the minus cylindrical form Or vice versa,
+
+409
+00:31:27,200 --> 00:31:29,940
+from minus cylindrical form to plus cylindrical
+
+410
+00:31:29,940 --> 00:31:35,510
+formin the spherocylindrical lens We said that the
+
+411
+00:31:35,510 --> 00:31:38,970
+spherocylindrical form is the most common The
+
+412
+00:31:38,970 --> 00:31:42,570
+spherocylindrical form is the most common How do I
+
+413
+00:31:42,570 --> 00:31:45,550
+change the plus cylindrical form to minus
+
+414
+00:31:45,550 --> 00:31:50,030
+cylindrical form Or the minus cylindrical form to
+
+415
+00:31:50,030 --> 00:31:53,930
+plus cylindrical form I have an example here I
+
+416
+00:31:53,930 --> 00:31:59,530
+have this minus cylindrical formThis is minus
+
+417
+00:31:59,530 --> 00:32:03,710
+cylindrical form I want to turn it into plus
+
+418
+00:32:03,710 --> 00:32:11,270
+cylindrical form I have two ways The first way is
+
+419
+00:32:11,270 --> 00:32:16,110
+to turn this minus cylindrical form into power
+
+420
+00:32:16,110 --> 00:32:21,170
+cross And from the power cross I extract the other
+
+421
+00:32:21,170 --> 00:32:24,430
+form Here minus cylindrical form and here plus
+
+422
+00:32:24,430 --> 00:32:26,050
+cylindrical form
+
+423
+00:32:28,520 --> 00:32:33,300
+So, the first way is to convert any form to power
+
+424
+00:32:33,300 --> 00:32:34,640
+across, whether it's minus or plus, then I
+
+425
+00:32:34,640 --> 00:32:38,060
+subtract the other form. How does this work? This
+
+426
+00:32:38,060 --> 00:32:40,920
+is the sphere, this is the cylinder, and this is
+
+427
+00:32:40,920 --> 00:32:46,220
+the axis. So, I put the force of the sphere on the
+
+428
+00:32:46,220 --> 00:32:49,240
+axis that I have written. So, I have plus four
+
+429
+00:32:49,240 --> 00:32:52,380
+diopter sphere, and I have the axis of the
+
+430
+00:32:52,380 --> 00:32:57,670
+cylinder 90, I put plus four on the meridian 90.If
+
+431
+00:32:57,670 --> 00:33:01,390
+the meridian here is 120, I put plus 4 over 120.
+
+432
+00:33:01,550 --> 00:33:04,810
+So the sphere, I put its force on the meridian
+
+433
+00:33:04,810 --> 00:33:07,350
+written here. The meridian written here is 90, I
+
+434
+00:33:07,350 --> 00:33:13,250
+put plus 4 over 90. Okay. Now this cylinder does
+
+435
+00:33:13,250 --> 00:33:17,610
+not move as it is. It does not move as it is. We
+
+436
+00:33:17,610 --> 00:33:23,850
+sayThe second Meridian, we solved half of the
+
+437
+00:33:23,850 --> 00:33:26,410
+power cross, the power cross is 2 Meridian, one
+
+438
+00:33:26,410 --> 00:33:30,390
+bigger and one smaller, for plus 4, we solved it
+
+439
+00:33:30,390 --> 00:33:34,240
+for 90The second axis which is 90 degrees away
+
+440
+00:33:34,240 --> 00:33:36,920
+from it which is 180 degrees and we say The second
+
+441
+00:33:36,920 --> 00:33:41,660
+axis minus 2 minus 2 from plus 4 which is plus 2
+
+442
+00:33:41,660 --> 00:33:46,600
+We repeat to remind you I put the arrow on the
+
+443
+00:33:46,600 --> 00:33:49,600
+written meridian So we put the arrow on the
+
+444
+00:33:49,600 --> 00:33:53,240
+written meridian The written meridian is 90 So we
+
+445
+00:33:53,240 --> 00:33:57,680
+put this arrow on 90 And how much do I put on the
+
+446
+00:33:57,680 --> 00:33:59,680
+second meridian? I don't put minus 2 as it is
+
+447
+00:33:59,680 --> 00:34:03,760
+written, noThe cylinder here either decreases or
+
+448
+00:34:03,760 --> 00:34:06,840
+increases from the first meridian. Here it is four
+
+449
+00:34:06,840 --> 00:34:11,320
+and here it is four. It's like I'm saying this to
+
+450
+00:34:11,320 --> 00:34:16,920
+make it easier for you to understand. Because it's
+
+451
+00:34:16,920 --> 00:34:21,880
+a sphere, I put the sphere on all the meridians.
+
+452
+00:34:22,520 --> 00:34:25,360
+Because it's a sphere. Its force is distributed
+
+453
+00:34:25,360 --> 00:34:27,120
+equally over all the meridians.
+
+454
+00:34:32,130 --> 00:34:37,090
+He put 4. Ok. I have a cylinder of minus 2 and its
+
+455
+00:34:37,090 --> 00:34:41,110
+axis is 90 degrees. So its force is 180 degrees.
+
+456
+00:34:41,150 --> 00:34:42,730
+So here also minus 2.
+
+457
+00:34:45,470 --> 00:34:55,240
+Minus 2. Ok.So this axis affects only plus 4, and
+
+458
+00:34:55,240 --> 00:34:58,560
+this axis affects from the sphere plus 4 and from
+
+459
+00:34:58,560 --> 00:35:02,840
+the cylinder minus 2, plus 4 and minus 2 gives me
+
+460
+00:35:02,840 --> 00:35:09,000
+plus 2 Or
+
+461
+00:35:09,000 --> 00:35:11,720
+I can say directly
+
+462
+00:35:17,420 --> 00:35:21,640
+this is my plus 4 we put it on the mentioned axis
+
+463
+00:35:21,640 --> 00:35:28,880
+and minus 2 which is less than 4 by 2 the axis is
+
+464
+00:35:28,880 --> 00:35:32,480
+180 why? because minus 2 by 90 has an effect on
+
+465
+00:35:32,480 --> 00:35:37,280
+180 now we haven't finished yet, we have converted
+
+466
+00:35:37,280 --> 00:35:41,860
+one of the forms to power cross now from the power
+
+467
+00:35:41,860 --> 00:35:45,080
+cross I have to extract the other form I look here
+
+468
+00:35:45,960 --> 00:35:49,020
+Plus four, if I take the plus four, it will appear
+
+469
+00:35:49,020 --> 00:35:52,120
+with me again the same thing As long as here in
+
+470
+00:35:52,120 --> 00:35:54,380
+the initial form, the sphere is plus four, this
+
+471
+00:35:54,380 --> 00:35:58,320
+time I want to take the sphere plus two The sphere
+
+472
+00:35:58,320 --> 00:36:02,480
+plus two Okay, plus two means here plus two and
+
+473
+00:36:02,480 --> 00:36:06,260
+here plus two Okay, but here plus four means I
+
+474
+00:36:06,260 --> 00:36:10,740
+want above two another twoفبحطلها سلندر plus 2 ع
+
+475
+00:36:10,740 --> 00:36:16,380
+180 عشان اتأثر على 90 عشان اتأثر على 90 يعني بنقول
+
+476
+00:36:16,380 --> 00:36:24,220
+سفير plus 2 إذا هنا plus 2 هنا خلّيني نشطبها و هنا
+
+477
+00:36:24,220 --> 00:36:26,920
+كمان plus 2 لأنه السفير عندي plus 2
+
+478
+00:36:32,770 --> 00:36:36,770
+But I know that the vertical axis is plus four So
+
+479
+00:36:36,770 --> 00:36:40,770
+it needs two more So we get a cylinder with its
+
+480
+00:36:40,770 --> 00:36:43,990
+axis at one hundred and eighty Its force is plus
+
+481
+00:36:43,990 --> 00:36:47,190
+two to its force at ninety So it becomes plus two
+
+482
+00:36:47,190 --> 00:36:56,330
+and plus two I have plus four and plus two So plus
+
+483
+00:36:56,330 --> 00:36:59,570
+two plus two is one hundred and eighty So I
+
+484
+00:36:59,570 --> 00:37:00,850
+convert to power cross
+
+485
+00:37:08,980 --> 00:37:14,400
+and from power cross I get the
+
+486
+00:37:14,400 --> 00:37:20,080
+other form of cylinder so this is the first way
+
+487
+00:37:20,080 --> 00:37:25,460
+first way I change the form I have to power cross
+
+488
+00:37:25,460 --> 00:37:30,720
+and from power cross I get the other form in power
+
+489
+00:37:30,720 --> 00:37:34,080
+cross to change it quickly I say sphere I put it
+
+490
+00:37:34,080 --> 00:37:39,250
+on the existing axisand I say either the cylinder
+
+491
+00:37:39,250 --> 00:37:41,610
+decreases or increases, decreases if the sign is
+
+492
+00:37:41,610 --> 00:37:45,910
+minus from the sphere, so plus 4 we put it on 90
+
+493
+00:37:45,910 --> 00:37:48,790
+because 90 is what I have mentioned and I say the
+
+494
+00:37:48,790 --> 00:37:51,990
+other meridian which is meridian 180, how did I
+
+495
+00:37:51,990 --> 00:37:54,270
+know that it is 180 because it is away from the
+
+496
+00:37:54,270 --> 00:37:57,290
+first meridian that I specified which is 90, it is
+
+497
+00:37:57,290 --> 00:38:01,520
+90 degrees awaythe other meridian which is 180
+
+498
+00:38:01,520 --> 00:38:06,960
+minus 2 from plus 4 which is plus 2 if it was plus
+
+499
+00:38:06,960 --> 00:38:10,540
+here, we say that the other meridian is plus 2
+
+500
+00:38:10,540 --> 00:38:16,440
+from plus 4 we change it to power cross I take the
+
+501
+00:38:16,440 --> 00:38:19,960
+sphere of the last meridian that we got and I put
+
+502
+00:38:19,960 --> 00:38:22,600
+it as the sphere and I say that the other meridian
+
+503
+00:38:22,600 --> 00:38:28,580
+is plus 2 from it on an axisI deal with this
+
+504
+00:38:28,580 --> 00:38:32,420
+meridian that I want to increase There is another
+
+505
+00:38:32,420 --> 00:38:36,760
+way Which is the most commonly used and easiest
+
+506
+00:38:36,760 --> 00:38:42,620
+way To make a transposition I add the cylinder
+
+507
+00:38:42,620 --> 00:38:48,280
+with its sign to the sphere Then I change the sign
+
+508
+00:38:48,280 --> 00:38:51,500
+of the cylinder And I turn the axis 90 degrees
+
+509
+00:38:51,500 --> 00:38:57,860
+Let's see how this works We say as follows we have
+
+510
+00:38:57,860 --> 00:39:01,880
+minus 2, i want to add it to plus 4, so i have
+
+511
+00:39:01,880 --> 00:39:07,520
+plus 2 this is the new sphere this is the new
+
+512
+00:39:07,520 --> 00:39:12,720
+sphere okay, i want to change the sign of the
+
+513
+00:39:12,720 --> 00:39:18,040
+cylinder to plus 2 i
+
+514
+00:39:18,040 --> 00:39:23,000
+want to change the axis to 90 degrees it is 90, so
+
+515
+00:39:23,000 --> 00:39:27,570
+it will become 180 so noticeThe method is very
+
+516
+00:39:27,570 --> 00:39:30,310
+easy plus two plus two is one hundred and eighty
+
+517
+00:39:30,310 --> 00:39:33,650
+plus two plus two is one hundred and eighty So in
+
+518
+00:39:33,650 --> 00:39:37,490
+three very fast steps I add the cylinder to the
+
+519
+00:39:37,490 --> 00:39:40,770
+sphere, the first step, I add the cylinder to the
+
+520
+00:39:40,770 --> 00:39:44,170
+sphere all with signs, and we add a plural with
+
+521
+00:39:44,170 --> 00:39:48,270
+signs minus two and plus four, so I have plus two
+
+522
+00:39:48,270 --> 00:39:51,090
+The second step, this sign is minus, I want to
+
+523
+00:39:51,090 --> 00:39:54,100
+turn it into plusThe third thing is that I need to
+
+524
+00:39:54,100 --> 00:40:01,000
+change the axis 90 degrees The axis needs to
+
+525
+00:40:01,000 --> 00:40:04,520
+change 90 degrees, if it was 90 it became 180
+
+526
+00:40:04,520 --> 00:40:07,860
+degrees If this needs to do the same thing, I need
+
+527
+00:40:07,860 --> 00:40:10,440
+to do the transposition to change it to minus form
+
+528
+00:40:10,440 --> 00:40:16,160
+and not plus form The cylinder and the sphere
+
+529
+00:40:29,110 --> 00:40:31,530
+Cylinder and sphere we add them together, plus 2
+
+530
+00:40:31,530 --> 00:40:36,250
+and plus 2 I get plus 4 This is the new sphere Now
+
+531
+00:40:36,250 --> 00:40:40,360
+I change the sign of the cylinder to minus 2and
+
+532
+00:40:40,360 --> 00:40:46,160
+the axis 180 need to move 90 of course, any axis
+
+533
+00:40:46,160 --> 00:40:50,920
+above 90, we move 90 of it any axis above 90, 91,
+
+534
+00:40:51,500 --> 00:40:56,860
+92, 100, 110, 120, 170, 180, we move 90 of it, it
+
+535
+00:40:56,860 --> 00:40:59,880
+becomes 90 for me when I move 180, I move 90 of
+
+536
+00:40:59,880 --> 00:41:02,700
+it, so I have become
+
+537
+00:41:06,390 --> 00:41:10,290
+plus four minus two axis ninety degree plus four
+
+538
+00:41:10,290 --> 00:41:18,410
+minus two axis ninety degree plus four minus two
+
+539
+00:41:18,410 --> 00:41:22,730
+axis ninety degree plus four minus two axis ninety
+
+540
+00:41:22,730 --> 00:41:23,490
+degree plus four minus two axis ninety degree plus
+
+541
+00:41:23,490 --> 00:41:23,830
+four minus two axis ninety degree plus four minus
+
+542
+00:41:23,830 --> 00:41:24,990
+two axes ninety degree plus four minus two axes
+
+543
+00:41:24,990 --> 00:41:25,150
+ninety degree plus four minus two axes ninety
+
+544
+00:41:25,150 --> 00:41:25,350
+degree plus four minus two axes ninety degree plus
+
+545
+00:41:25,350 --> 00:41:26,550
+four minus two axes ninety degree plus four minus
+
+546
+00:41:26,550 --> 00:41:30,070
+two axes ninety degree plus four minus two axes
+
+547
+00:41:30,070 --> 00:41:32,570
+ninety degree plus four minus two axes ninety
+
+548
+00:41:32,570 --> 00:41:33,870
+degree plus four minus two axes ninety degree plus
+
+549
+00:41:33,870 --> 00:41:33,870
+four minus two axes ninety degree plus four minus
+
+550
+00:41:33,870 --> 00:41:33,990
+two axes ninety degree plus four minus two axes
+
+551
+00:41:33,990 --> 00:41:34,730
+ninety degree plus four minus two axes ninety
+
+552
+00:41:34,730 --> 00:41:34,730
+degree plus four minus two axes ninety degree plus
+
+553
+00:41:34,730 --> 00:41:34,730
+four minus two axes ninety degree plus four minus
+
+554
+00:41:34,730 --> 00:41:34,730
+two axes ninety degree plus four minus two axes
+
+555
+00:41:34,730 --> 00:41:34,730
+ninety degree plus four minus two axes ninety
+
+556
+00:41:34,730 --> 00:41:34,730
+degree plus four minus two axes ninety degree plus
+
+557
+00:41:34,730 --> 00:41:34,730
+two axes ninety degree plus two axes ninety degree
+
+558
+00:41:34,730 --> 00:41:34,730
+plus two axes ninety degree plus two axes ninety
+
+559
+00:41:34,730 --> 00:41:34,730
+degree plus two axes ninety degree plus two axes
+
+560
+00:41:34,730 --> 00:41:34,730
+ninety degree plus two axes ninety degree plus two
+
+561
+00:41:34,730 --> 00:41:34,770
+axes ninety degree plus two axes ninety degree
+
+562
+00:41:34,770 --> 00:41:40,020
+plus two axes ninetyان انا ب .. اعمل transposition
+
+563
+00:41:40,020 --> 00:41:44,720
+او يعني تحويل من form ل form تاني بتلت خطوات سريع
+
+564
+00:41:44,720 --> 00:41:48,820
+ال cylinder بضيفه ل ال sphere بإشارته طبعا بطلع
+
+565
+00:41:48,820 --> 00:41:53,210
+عندى ل new sphereبغير إشارة ال cylinder بطلع عندى
+
+566
+00:41:53,210 --> 00:41:57,350
+ل new cylinder و بحول المحور تسعين درجة بحول
+
+567
+00:41:57,350 --> 00:42:01,830
+المحور تسعين درجة طبعا ضرورى هذا الكلام يكون يعني
+
+568
+00:42:01,830 --> 00:42:11,130
+واضح هنا واضح طب نشوف هنا عندنا مثال آخر نبدأ
+
+569
+00:42:11,130 --> 00:42:15,510
+في حلو المثال
+
+570
+00:42:15,510 --> 00:42:20,960
+بيقول plus خمسة minus ستة axis مية و تلاتينPlus
+
+571
+00:42:20,960 --> 00:42:24,680
+five minus six axis one hundred and thirty This
+
+572
+00:42:24,680 --> 00:42:29,560
+axis is one hundred and thirty So this line is one
+
+573
+00:42:29,560 --> 00:42:33,180
+hundred and thirty Plus five we say the sphere we
+
+574
+00:42:33,180 --> 00:42:40,280
+put it on the existing axis Now we say the other
+
+575
+00:42:40,280 --> 00:42:42,040
+axis if this axis is one hundred and thirty the
+
+576
+00:42:42,040 --> 00:42:47,850
+vertical axis on it is forty The axis is fortyHow
+
+577
+00:42:47,850 --> 00:42:49,650
+much is the force of the axis 40? This we know
+
+578
+00:42:49,650 --> 00:42:52,610
+that its force is plus 5 to the sphere and we put
+
+579
+00:42:52,610 --> 00:42:54,670
+it on the axis written in the spherical and
+
+580
+00:42:54,670 --> 00:42:58,250
+cylindrical form. We say that the other axis which
+
+581
+00:42:58,250 --> 00:43:03,170
+is 40 vertical to 130 of course is minus 6
+
+582
+00:43:03,170 --> 00:43:04,990
+degrees. Why is it minus? Because it is a minus
+
+583
+00:43:04,990 --> 00:43:09,810
+sign. It is minus 6 degrees from plus 5. 5 minus 6
+
+584
+00:43:09,810 --> 00:43:16,390
+remains minus 1 for me. Okay. NowIf my power cross
+
+585
+00:43:16,390 --> 00:43:19,630
+is ready, now if I want to take the plus 5, it
+
+586
+00:43:19,630 --> 00:43:24,110
+will be the same thing I want to take the other
+
+587
+00:43:24,110 --> 00:43:26,170
+meridian, the power of the other meridian, and
+
+588
+00:43:26,170 --> 00:43:29,950
+consider it as a sphere So minus 1 is a sphere,
+
+589
+00:43:31,290 --> 00:43:37,690
+and the second axis is 6From minus 1 to plus 5, it
+
+590
+00:43:37,690 --> 00:43:44,790
+adds 6 to it. So minus 1 plus 6 x is 40 to affect
+
+591
+00:43:44,790 --> 00:43:52,370
+130. If we want the quick way, we add the cylinder
+
+592
+00:43:52,370 --> 00:43:57,330
+to the sphere, minus 6 plus 5 remains minus 1. We
+
+593
+00:43:57,330 --> 00:44:00,290
+flip the sign of 6, which is minus, which becomes
+
+594
+00:44:00,290 --> 00:44:05,090
+plus.والمحور بنحركه تسعين درجة، مية و تلاتين ناقص
+
+595
+00:44:05,090 --> 00:44:08,790
+تسعين، بيضال أربعين degree فبالتالي أي من
+
+596
+00:44:08,790 --> 00:44:15,930
+الطريقتين اتبعت فهي يعني سهلة، فهي سهلة، بس طبعا
+
+597
+00:44:15,930 --> 00:44:21,100
+الطريقة التانية أسرع وأكثر استعمالهاA simpler
+
+598
+00:44:21,100 --> 00:44:24,380
+method is more frequently used to convert a
+
+599
+00:44:24,380 --> 00:44:27,340
+prescription from plus to minus cylindrical form,
+
+600
+00:44:27,760 --> 00:44:31,840
+or al-aqs, add sphere and cylindrical power
+
+601
+00:44:31,840 --> 00:44:34,220
+together to obtain the new sphere
+
+602
+00:44:41,690 --> 00:44:46,710
+it changed the sign of the cylinder rotate
+
+603
+00:44:46,710 --> 00:44:52,670
+the axis 90 degree to obtain the new axis to
+
+604
+00:44:52,670 --> 00:44:56,870
+obtain a new axis and at this point we stop and
+
+605
+00:44:56,870 --> 00:45:00,250
+next time we will take the combination of
+
+606
+00:45:00,250 --> 00:45:03,270
+spherical and cylindrical lenses and God bless you
+
+607
+00:45:03,270 --> 00:45:05,110
+and peace be upon you
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/FRMi2nX0dPc_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/FRMi2nX0dPc_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..498686085638909732ca056ab260142f2966e8d6
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/FRMi2nX0dPc_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 1618, "start": 1.4, "end": 16.18, "text": "In the name of God, Most Gracious, Most Merciful. Today we have a problem that has a virtual image and at the same time has a virtual object. We will see what the problem is. This is the first plus one diopter lens. On its left there is a 50 cm object.", "tokens": [4575, 264, 1315, 295, 1265, 11, 4534, 20586, 851, 11, 4534, 18897, 2069, 13, 2692, 321, 362, 257, 1154, 300, 575, 257, 6374, 3256, 293, 412, 264, 912, 565, 575, 257, 6374, 2657, 13, 492, 486, 536, 437, 264, 1154, 307, 13, 639, 307, 264, 700, 1804, 472, 1026, 404, 391, 6765, 13, 1282, 1080, 1411, 456, 307, 257, 2625, 14668, 2657, 13], "avg_logprob": -0.4433593852445483, "compression_ratio": 1.5, "no_speech_prob": 2.6226043701171875e-06, "words": [{"start": 1.4, "end": 1.62, "word": "In", "probability": 0.43896484375}, {"start": 1.62, "end": 1.72, "word": " the", "probability": 0.88427734375}, {"start": 1.72, "end": 1.72, "word": " name", "probability": 0.86083984375}, {"start": 1.72, "end": 1.9, "word": " of", "probability": 0.974609375}, {"start": 1.9, "end": 1.9, "word": " God,", "probability": 0.450927734375}, {"start": 1.98, "end": 2.16, "word": " Most", "probability": 0.172607421875}, {"start": 2.16, "end": 2.16, "word": " Gracious,", "probability": 0.858642578125}, {"start": 2.24, "end": 2.3, "word": " Most", "probability": 0.916015625}, {"start": 2.3, "end": 2.54, "word": " Merciful.", "probability": 0.934814453125}, {"start": 2.82, "end": 3.14, "word": " Today", "probability": 0.78173828125}, {"start": 3.14, "end": 3.38, "word": " we", "probability": 0.72998046875}, {"start": 3.38, "end": 3.4, "word": " have", "probability": 0.8642578125}, {"start": 3.4, "end": 3.54, "word": " a", "probability": 0.6884765625}, {"start": 3.54, "end": 3.84, "word": " problem", "probability": 0.29345703125}, {"start": 3.84, "end": 4.72, "word": " that", "probability": 0.29248046875}, {"start": 4.72, "end": 4.92, "word": " has", "probability": 0.74853515625}, {"start": 4.92, "end": 5.08, "word": " a", "probability": 0.51513671875}, {"start": 5.08, "end": 5.38, "word": " virtual", "probability": 0.9111328125}, {"start": 5.38, "end": 5.96, "word": " image", "probability": 0.91845703125}, {"start": 5.96, "end": 6.2, "word": " and", "probability": 0.71728515625}, {"start": 6.2, "end": 6.22, "word": " at", "probability": 0.387451171875}, {"start": 6.22, "end": 6.38, "word": " the", "probability": 0.9189453125}, {"start": 6.38, "end": 6.5, "word": " same", "probability": 0.9140625}, {"start": 6.5, "end": 6.84, "word": " time", "probability": 0.8818359375}, {"start": 6.84, "end": 7.1, "word": " has", "probability": 0.35009765625}, {"start": 7.1, "end": 7.26, "word": " a", "probability": 0.8359375}, {"start": 7.26, "end": 7.58, "word": " virtual", "probability": 0.94482421875}, {"start": 7.58, "end": 8.52, "word": " object.", "probability": 0.9697265625}, {"start": 9.12, "end": 9.28, "word": " We", "probability": 0.76513671875}, {"start": 9.28, "end": 9.36, "word": " will", "probability": 0.57421875}, {"start": 9.36, "end": 9.56, "word": " see", "probability": 0.84619140625}, {"start": 9.56, "end": 9.74, "word": " what", "probability": 0.873046875}, {"start": 9.74, "end": 9.88, "word": " the", "probability": 0.351806640625}, {"start": 9.88, "end": 10.14, "word": " problem", "probability": 0.802734375}, {"start": 10.14, "end": 10.26, "word": " is.", "probability": 0.92431640625}, {"start": 10.26, "end": 10.4, "word": " This", "probability": 0.7080078125}, {"start": 10.4, "end": 10.68, "word": " is", "probability": 0.91162109375}, {"start": 10.68, "end": 11.42, "word": " the", "probability": 0.34228515625}, {"start": 11.42, "end": 11.64, "word": " first", "probability": 0.85791015625}, {"start": 11.64, "end": 12.14, "word": " plus", "probability": 0.386962890625}, {"start": 12.14, "end": 12.56, "word": " one", "probability": 0.626953125}, {"start": 12.56, "end": 13.2, "word": " diopter", "probability": 0.7918294270833334}, {"start": 13.2, "end": 13.2, "word": " lens.", "probability": 0.339599609375}, {"start": 13.84, "end": 14.06, "word": " On", "probability": 0.591796875}, {"start": 14.06, "end": 14.24, "word": " its", "probability": 0.5390625}, {"start": 14.24, "end": 14.4, "word": " left", "probability": 0.96240234375}, {"start": 14.4, "end": 14.7, "word": " there", "probability": 0.39501953125}, {"start": 14.7, "end": 14.76, "word": " is", "probability": 0.89990234375}, {"start": 14.76, "end": 14.9, "word": " a", "probability": 0.323486328125}, {"start": 14.9, "end": 15.62, "word": " 50", "probability": 0.8076171875}, {"start": 15.62, "end": 16.18, "word": " cm", "probability": 0.505859375}, {"start": 16.18, "end": 16.18, "word": " object.", "probability": 0.92041015625}], "temperature": 1.0}, {"id": 2, "seek": 4522, "start": 16.84, "end": 45.22, "text": "between her and the lens number 2, 1 meter distance. The strength of the second lens which is plus 1.5 diopter. The second and third lenses are 50 centimeters apart. The third lens is plus 2 diopter. Requiring the final image and the total transfers magnification, we will use this blue square to hide and deal with each lens one by one.", "tokens": [32387, 720, 293, 264, 6765, 1230, 568, 11, 502, 9255, 4560, 13, 440, 3800, 295, 264, 1150, 6765, 597, 307, 1804, 502, 13, 20, 1026, 404, 391, 13, 440, 1150, 293, 2636, 18059, 366, 2625, 23300, 4936, 13, 440, 2636, 6765, 307, 1804, 568, 1026, 404, 391, 13, 42029, 5057, 264, 2572, 3256, 293, 264, 3217, 29137, 4944, 3774, 11, 321, 486, 764, 341, 3344, 3732, 281, 6479, 293, 2028, 365, 1184, 6765, 472, 538, 472, 13], "avg_logprob": -0.4411057688486882, "compression_ratio": 1.6600985221674878, "no_speech_prob": 2.5033950805664062e-06, "words": [{"start": 16.84, "end": 17.1, "word": "between", "probability": 0.5947265625}, {"start": 17.1, "end": 17.24, "word": " her", "probability": 0.188720703125}, {"start": 17.24, "end": 17.38, "word": " and", "probability": 0.87939453125}, {"start": 17.38, "end": 17.58, "word": " the", "probability": 0.5986328125}, {"start": 17.58, "end": 17.84, "word": " lens", "probability": 0.35595703125}, {"start": 17.84, "end": 18.14, "word": " number", "probability": 0.242919921875}, {"start": 18.14, "end": 18.62, "word": " 2,", "probability": 0.623046875}, {"start": 18.82, "end": 19.18, "word": " 1", "probability": 0.40185546875}, {"start": 19.18, "end": 19.58, "word": " meter", "probability": 0.74560546875}, {"start": 19.58, "end": 20.1, "word": " distance.", "probability": 0.60107421875}, {"start": 20.78, "end": 20.98, "word": " The", "probability": 0.62158203125}, {"start": 20.98, "end": 21.18, "word": " strength", "probability": 0.255859375}, {"start": 21.18, "end": 21.36, "word": " of", "probability": 0.96337890625}, {"start": 21.36, "end": 21.4, "word": " the", "probability": 0.8974609375}, {"start": 21.4, "end": 22.02, "word": " second", "probability": 0.78857421875}, {"start": 22.02, "end": 22.04, "word": " lens", "probability": 0.89306640625}, {"start": 22.04, "end": 22.26, "word": " which", "probability": 0.4326171875}, {"start": 22.26, "end": 22.36, "word": " is", "probability": 0.90234375}, {"start": 22.36, "end": 22.6, "word": " plus", "probability": 0.393798828125}, {"start": 22.6, "end": 22.84, "word": " 1", "probability": 0.47412109375}, {"start": 22.84, "end": 23.16, "word": ".5", "probability": 0.882080078125}, {"start": 23.16, "end": 23.7, "word": " diopter.", "probability": 0.7613932291666666}, {"start": 24.34, "end": 24.58, "word": " The", "probability": 0.81201171875}, {"start": 24.58, "end": 25.16, "word": " second", "probability": 0.81689453125}, {"start": 25.16, "end": 25.38, "word": " and", "probability": 0.7734375}, {"start": 25.38, "end": 25.66, "word": " third", "probability": 0.7880859375}, {"start": 25.66, "end": 25.74, "word": " lenses", "probability": 0.697265625}, {"start": 25.74, "end": 25.88, "word": " are", "probability": 0.70849609375}, {"start": 25.88, "end": 26.66, "word": " 50", "probability": 0.7998046875}, {"start": 26.66, "end": 27.38, "word": " centimeters", "probability": 0.3837890625}, {"start": 27.38, "end": 27.38, "word": " apart.", "probability": 0.8291015625}, {"start": 27.72, "end": 27.94, "word": " The", "probability": 0.81982421875}, {"start": 27.94, "end": 28.6, "word": " third", "probability": 0.892578125}, {"start": 28.6, "end": 28.6, "word": " lens", "probability": 0.86181640625}, {"start": 28.6, "end": 29.04, "word": " is", "probability": 0.6181640625}, {"start": 29.04, "end": 29.6, "word": " plus", "probability": 0.84228515625}, {"start": 29.6, "end": 30.02, "word": " 2", "probability": 0.908203125}, {"start": 30.02, "end": 30.66, "word": " diopter.", "probability": 0.7623697916666666}, {"start": 30.96, "end": 31.38, "word": " Requiring", "probability": 0.26287841796875}, {"start": 31.38, "end": 31.6, "word": " the", "probability": 0.74365234375}, {"start": 31.6, "end": 31.88, "word": " final", "probability": 0.7568359375}, {"start": 31.88, "end": 32.3, "word": " image", "probability": 0.93896484375}, {"start": 32.3, "end": 32.48, "word": " and", "probability": 0.72216796875}, {"start": 32.48, "end": 32.56, "word": " the", "probability": 0.4921875}, {"start": 32.56, "end": 32.82, "word": " total", "probability": 0.83642578125}, {"start": 32.82, "end": 33.38, "word": " transfers", "probability": 0.30859375}, {"start": 33.38, "end": 34.14, "word": " magnification,", "probability": 0.951904296875}, {"start": 34.26, "end": 34.4, "word": " we", "probability": 0.82373046875}, {"start": 34.4, "end": 34.44, "word": " will", "probability": 0.693359375}, {"start": 34.44, "end": 34.8, "word": " use", "probability": 0.79248046875}, {"start": 34.8, "end": 36.32, "word": " this", "probability": 0.89208984375}, {"start": 36.32, "end": 37.62, "word": " blue", "probability": 0.78515625}, {"start": 37.62, "end": 37.62, "word": " square", "probability": 0.7822265625}, {"start": 37.62, "end": 38.08, "word": " to", "probability": 0.85302734375}, {"start": 38.08, "end": 38.5, "word": " hide", "probability": 0.67333984375}, {"start": 38.5, "end": 43.24, "word": " and", "probability": 0.350341796875}, {"start": 43.24, "end": 43.54, "word": " deal", "probability": 0.36572265625}, {"start": 43.54, "end": 43.98, "word": " with", "probability": 0.90869140625}, {"start": 43.98, "end": 44.24, "word": " each", "probability": 0.90576171875}, {"start": 44.24, "end": 44.64, "word": " lens", "probability": 0.85595703125}, {"start": 44.64, "end": 44.94, "word": " one", "probability": 0.25146484375}, {"start": 44.94, "end": 44.94, "word": " by", "probability": 0.88916015625}, {"start": 44.94, "end": 45.22, "word": " one.", "probability": 0.9287109375}], "temperature": 1.0}, {"id": 3, "seek": 7251, "start": 46.05, "end": 72.51, "text": "to make things easier Now, the first point we need to separate in order to .. Here I have an example by itself, a lens plus one diopter, its body is fifty centimeters away from it We say, we need to bring the picture", "tokens": [1353, 652, 721, 3571, 823, 11, 264, 700, 935, 321, 643, 281, 4994, 294, 1668, 281, 4386, 1692, 286, 362, 364, 1365, 538, 2564, 11, 257, 6765, 1804, 472, 1026, 404, 391, 11, 1080, 1772, 307, 13442, 23300, 1314, 490, 309, 492, 584, 11, 321, 643, 281, 1565, 264, 3036], "avg_logprob": -0.6611519584468767, "compression_ratio": 1.4304635761589404, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 46.05, "end": 46.59, "word": "to", "probability": 0.2666015625}, {"start": 46.59, "end": 48.59, "word": " make", "probability": 0.82861328125}, {"start": 48.59, "end": 48.93, "word": " things", "probability": 0.52978515625}, {"start": 48.93, "end": 49.73, "word": " easier", "probability": 0.6259765625}, {"start": 49.73, "end": 50.55, "word": " Now,", "probability": 0.272216796875}, {"start": 50.63, "end": 50.85, "word": " the", "probability": 0.389892578125}, {"start": 50.85, "end": 50.85, "word": " first", "probability": 0.890625}, {"start": 50.85, "end": 51.27, "word": " point", "probability": 0.81787109375}, {"start": 51.27, "end": 52.35, "word": " we", "probability": 0.281982421875}, {"start": 52.35, "end": 52.55, "word": " need", "probability": 0.266845703125}, {"start": 52.55, "end": 53.07, "word": " to", "probability": 0.96337890625}, {"start": 53.07, "end": 53.43, "word": " separate", "probability": 0.435302734375}, {"start": 53.43, "end": 54.23, "word": " in", "probability": 0.277099609375}, {"start": 54.23, "end": 54.77, "word": " order", "probability": 0.28564453125}, {"start": 54.77, "end": 56.39, "word": " to", "probability": 0.8447265625}, {"start": 56.39, "end": 60.83, "word": " ..", "probability": 0.245361328125}, {"start": 60.83, "end": 62.23, "word": " Here", "probability": 0.249267578125}, {"start": 62.23, "end": 62.39, "word": " I", "probability": 0.71337890625}, {"start": 62.39, "end": 62.65, "word": " have", "probability": 0.91796875}, {"start": 62.65, "end": 63.01, "word": " an", "probability": 0.59619140625}, {"start": 63.01, "end": 63.09, "word": " example", "probability": 0.91748046875}, {"start": 63.09, "end": 63.25, "word": " by", "probability": 0.2183837890625}, {"start": 63.25, "end": 64.55, "word": " itself,", "probability": 0.6103515625}, {"start": 64.67, "end": 64.81, "word": " a", "probability": 0.55712890625}, {"start": 64.81, "end": 65.11, "word": " lens", "probability": 0.28466796875}, {"start": 65.11, "end": 65.51, "word": " plus", "probability": 0.431640625}, {"start": 65.51, "end": 65.75, "word": " one", "probability": 0.72265625}, {"start": 65.75, "end": 66.39, "word": " diopter,", "probability": 0.8626302083333334}, {"start": 67.45, "end": 67.83, "word": " its", "probability": 0.2117919921875}, {"start": 67.83, "end": 68.25, "word": " body", "probability": 0.76025390625}, {"start": 68.25, "end": 68.99, "word": " is", "probability": 0.8798828125}, {"start": 68.99, "end": 69.41, "word": " fifty", "probability": 0.53173828125}, {"start": 69.41, "end": 69.83, "word": " centimeters", "probability": 0.76611328125}, {"start": 69.83, "end": 70.21, "word": " away", "probability": 0.74658203125}, {"start": 70.21, "end": 70.47, "word": " from", "probability": 0.8515625}, {"start": 70.47, "end": 70.69, "word": " it", "probability": 0.70361328125}, {"start": 70.69, "end": 71.27, "word": " We", "probability": 0.4619140625}, {"start": 71.27, "end": 71.57, "word": " say,", "probability": 0.51611328125}, {"start": 71.65, "end": 71.69, "word": " we", "probability": 0.83642578125}, {"start": 71.69, "end": 71.83, "word": " need", "probability": 0.421142578125}, {"start": 71.83, "end": 71.91, "word": " to", "probability": 0.9560546875}, {"start": 71.91, "end": 72.03, "word": " bring", "probability": 0.392578125}, {"start": 72.03, "end": 72.23, "word": " the", "probability": 0.7734375}, {"start": 72.23, "end": 72.51, "word": " picture", "probability": 0.4755859375}], "temperature": 1.0}, {"id": 4, "seek": 11057, "start": 88.39, "end": 110.57, "text": "We say U is equal to minus N divided by O which is equal to minus 1 divided by half meter minus 1 divided by half meter", "tokens": [4360, 584, 624, 307, 2681, 281, 3175, 426, 6666, 538, 422, 597, 307, 2681, 281, 3175, 502, 6666, 538, 1922, 9255, 3175, 502, 6666, 538, 1922, 9255], "avg_logprob": -0.4241071343421936, "compression_ratio": 1.6527777777777777, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 88.39, "end": 88.65, "word": "We", "probability": 0.388916015625}, {"start": 88.65, "end": 88.85, "word": " say", "probability": 0.4931640625}, {"start": 88.85, "end": 89.21, "word": " U", "probability": 0.306396484375}, {"start": 89.21, "end": 89.73, "word": " is", "probability": 0.481201171875}, {"start": 89.73, "end": 90.73, "word": " equal", "probability": 0.73583984375}, {"start": 90.73, "end": 91.35, "word": " to", "probability": 0.70556640625}, {"start": 91.35, "end": 91.91, "word": " minus", "probability": 0.3984375}, {"start": 91.91, "end": 92.29, "word": " N", "probability": 0.53662109375}, {"start": 92.29, "end": 92.47, "word": " divided", "probability": 0.299560546875}, {"start": 92.47, "end": 92.53, "word": " by", "probability": 0.947265625}, {"start": 92.53, "end": 92.83, "word": " O", "probability": 0.78564453125}, {"start": 92.83, "end": 95.61, "word": " which", "probability": 0.2333984375}, {"start": 95.61, "end": 95.73, "word": " is", "probability": 0.78955078125}, {"start": 95.73, "end": 96.19, "word": " equal", "probability": 0.896484375}, {"start": 96.19, "end": 99.91, "word": " to", "probability": 0.94775390625}, {"start": 99.91, "end": 100.41, "word": " minus", "probability": 0.8505859375}, {"start": 100.41, "end": 100.87, "word": " 1", "probability": 0.431884765625}, {"start": 100.87, "end": 101.11, "word": " divided", "probability": 0.74658203125}, {"start": 101.11, "end": 101.17, "word": " by", "probability": 0.97216796875}, {"start": 101.17, "end": 101.37, "word": " half", "probability": 0.7353515625}, {"start": 101.37, "end": 101.77, "word": " meter", "probability": 0.493896484375}, {"start": 101.77, "end": 108.79, "word": " minus", "probability": 0.68310546875}, {"start": 108.79, "end": 109.33, "word": " 1", "probability": 0.83154296875}, {"start": 109.33, "end": 109.67, "word": " divided", "probability": 0.79736328125}, {"start": 109.67, "end": 109.77, "word": " by", "probability": 0.97802734375}, {"start": 109.77, "end": 110.19, "word": " half", "probability": 0.88818359375}, {"start": 110.19, "end": 110.57, "word": " meter", "probability": 0.91748046875}], "temperature": 1.0}, {"id": 5, "seek": 15363, "start": 126.32, "end": 153.64, "text": "it's equal to minus 2 diopter minus 2 diopter quickly I put here on the front surface minus 2 diopter which means that the light will reach a wavelength of minus 2 diopter the power of the lens plus 1 diopter is not enough we will see that the light will reach a wavelength of u plus power which is equal to v", "tokens": [270, 311, 2681, 281, 3175, 568, 1026, 404, 391, 3175, 568, 1026, 404, 391, 2661, 286, 829, 510, 322, 264, 1868, 3753, 3175, 568, 1026, 404, 391, 597, 1355, 300, 264, 1442, 486, 2524, 257, 22907, 295, 3175, 568, 1026, 404, 391, 264, 1347, 295, 264, 6765, 1804, 502, 1026, 404, 391, 307, 406, 1547, 321, 486, 536, 300, 264, 1442, 486, 2524, 257, 22907, 295, 344, 1804, 1347, 597, 307, 2681, 281, 371], "avg_logprob": -0.5270833444595336, "compression_ratio": 2.0064935064935066, "no_speech_prob": 1.5497207641601562e-06, "words": [{"start": 126.32, "end": 126.78, "word": "it's", "probability": 0.15777587890625}, {"start": 126.78, "end": 127.04, "word": " equal", "probability": 0.46435546875}, {"start": 127.04, "end": 127.54, "word": " to", "probability": 0.77685546875}, {"start": 127.54, "end": 128.36, "word": " minus", "probability": 0.14990234375}, {"start": 128.36, "end": 128.78, "word": " 2", "probability": 0.5888671875}, {"start": 128.78, "end": 129.26, "word": " diopter", "probability": 0.7176106770833334}, {"start": 129.26, "end": 129.56, "word": " minus", "probability": 0.6796875}, {"start": 129.56, "end": 130.14, "word": " 2", "probability": 0.9072265625}, {"start": 130.14, "end": 131.32, "word": " diopter", "probability": 0.9404296875}, {"start": 131.32, "end": 131.76, "word": " quickly", "probability": 0.1300048828125}, {"start": 131.76, "end": 132.2, "word": " I", "probability": 0.5517578125}, {"start": 132.2, "end": 132.92, "word": " put", "probability": 0.32373046875}, {"start": 132.92, "end": 133.26, "word": " here", "probability": 0.59521484375}, {"start": 133.26, "end": 134.54, "word": " on", "probability": 0.2978515625}, {"start": 134.54, "end": 134.6, "word": " the", "probability": 0.80126953125}, {"start": 134.6, "end": 135.2, "word": " front", "probability": 0.6015625}, {"start": 135.2, "end": 135.42, "word": " surface", "probability": 0.475830078125}, {"start": 135.42, "end": 135.88, "word": " minus", "probability": 0.8681640625}, {"start": 135.88, "end": 136.38, "word": " 2", "probability": 0.91064453125}, {"start": 136.38, "end": 137.18, "word": " diopter", "probability": 0.9441731770833334}, {"start": 137.18, "end": 138.54, "word": " which", "probability": 0.1373291015625}, {"start": 138.54, "end": 138.62, "word": " means", "probability": 0.79736328125}, {"start": 138.62, "end": 138.78, "word": " that", "probability": 0.472900390625}, {"start": 138.78, "end": 138.84, "word": " the", "probability": 0.7275390625}, {"start": 138.84, "end": 138.98, "word": " light", "probability": 0.77685546875}, {"start": 138.98, "end": 139.24, "word": " will", "probability": 0.6767578125}, {"start": 139.24, "end": 139.42, "word": " reach", "probability": 0.410400390625}, {"start": 139.42, "end": 139.68, "word": " a", "probability": 0.38232421875}, {"start": 139.68, "end": 140.1, "word": " wavelength", "probability": 0.270263671875}, {"start": 140.1, "end": 140.44, "word": " of", "probability": 0.4287109375}, {"start": 140.44, "end": 141.0, "word": " minus", "probability": 0.9501953125}, {"start": 141.0, "end": 141.5, "word": " 2", "probability": 0.94775390625}, {"start": 141.5, "end": 143.04, "word": " diopter", "probability": 0.92431640625}, {"start": 143.04, "end": 144.26, "word": " the", "probability": 0.5302734375}, {"start": 144.26, "end": 144.48, "word": " power", "probability": 0.341796875}, {"start": 144.48, "end": 144.66, "word": " of", "probability": 0.95849609375}, {"start": 144.66, "end": 144.72, "word": " the", "probability": 0.81591796875}, {"start": 144.72, "end": 144.94, "word": " lens", "probability": 0.3095703125}, {"start": 144.94, "end": 145.2, "word": " plus", "probability": 0.64208984375}, {"start": 145.2, "end": 145.64, "word": " 1", "probability": 0.499267578125}, {"start": 145.64, "end": 146.2, "word": " diopter", "probability": 0.9246419270833334}, {"start": 146.2, "end": 146.38, "word": " is", "probability": 0.5029296875}, {"start": 146.38, "end": 146.38, "word": " not", "probability": 0.88720703125}, {"start": 146.38, "end": 146.86, "word": " enough", "probability": 0.693359375}, {"start": 146.86, "end": 147.7, "word": " we", "probability": 0.609375}, {"start": 147.7, "end": 147.84, "word": " will", "probability": 0.5380859375}, {"start": 147.84, "end": 148.0, "word": " see", "probability": 0.87548828125}, {"start": 148.0, "end": 148.14, "word": " that", "probability": 0.5654296875}, {"start": 148.14, "end": 148.18, "word": " the", "probability": 0.76513671875}, {"start": 148.18, "end": 148.34, "word": " light", "probability": 0.88623046875}, {"start": 148.34, "end": 148.52, "word": " will", "probability": 0.70263671875}, {"start": 148.52, "end": 148.8, "word": " reach", "probability": 0.1583251953125}, {"start": 148.8, "end": 149.8, "word": " a", "probability": 0.8505859375}, {"start": 149.8, "end": 149.8, "word": " wavelength", "probability": 0.89111328125}, {"start": 149.8, "end": 150.6, "word": " of", "probability": 0.26416015625}, {"start": 150.6, "end": 151.56, "word": " u", "probability": 0.319091796875}, {"start": 151.56, "end": 151.88, "word": " plus", "probability": 0.7216796875}, {"start": 151.88, "end": 152.56, "word": " power", "probability": 0.5126953125}, {"start": 152.56, "end": 152.82, "word": " which", "probability": 0.2218017578125}, {"start": 152.82, "end": 152.94, "word": " is", "probability": 0.71728515625}, {"start": 152.94, "end": 153.26, "word": " equal", "probability": 0.896484375}, {"start": 153.26, "end": 153.36, "word": " to", "probability": 0.96533203125}, {"start": 153.36, "end": 153.64, "word": " v", "probability": 0.5546875}], "temperature": 1.0}, {"id": 6, "seek": 18398, "start": 156.72, "end": 183.98, "text": "u minus two diopter minus two diopter plus one diopter power is equal to v so v is equal to minus one diopter minus one diopter quickly I put that the light will come out with minus one diopter", "tokens": [84, 3175, 732, 1026, 404, 391, 3175, 732, 1026, 404, 391, 1804, 472, 1026, 404, 391, 1347, 307, 2681, 281, 371, 370, 371, 307, 2681, 281, 3175, 472, 1026, 404, 391, 3175, 472, 1026, 404, 391, 2661, 286, 829, 300, 264, 1442, 486, 808, 484, 365, 3175, 472, 1026, 404, 391], "avg_logprob": -0.3635817365004466, "compression_ratio": 1.969387755102041, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 156.72, "end": 157.14, "word": "u", "probability": 0.434326171875}, {"start": 157.14, "end": 157.56, "word": " minus", "probability": 0.1668701171875}, {"start": 157.56, "end": 158.02, "word": " two", "probability": 0.50390625}, {"start": 158.02, "end": 158.64, "word": " diopter", "probability": 0.7537434895833334}, {"start": 158.64, "end": 161.96, "word": " minus", "probability": 0.70947265625}, {"start": 161.96, "end": 162.56, "word": " two", "probability": 0.8984375}, {"start": 162.56, "end": 163.68, "word": " diopter", "probability": 0.92431640625}, {"start": 163.68, "end": 164.46, "word": " plus", "probability": 0.771484375}, {"start": 164.46, "end": 165.72, "word": " one", "probability": 0.591796875}, {"start": 165.72, "end": 166.8, "word": " diopter", "probability": 0.9371744791666666}, {"start": 166.8, "end": 166.84, "word": " power", "probability": 0.50634765625}, {"start": 166.84, "end": 167.98, "word": " is", "probability": 0.2205810546875}, {"start": 167.98, "end": 168.34, "word": " equal", "probability": 0.8369140625}, {"start": 168.34, "end": 168.4, "word": " to", "probability": 0.96630859375}, {"start": 168.4, "end": 168.7, "word": " v", "probability": 0.58935546875}, {"start": 168.7, "end": 171.06, "word": " so", "probability": 0.402587890625}, {"start": 171.06, "end": 171.34, "word": " v", "probability": 0.83837890625}, {"start": 171.34, "end": 171.58, "word": " is", "probability": 0.491943359375}, {"start": 171.58, "end": 171.96, "word": " equal", "probability": 0.9091796875}, {"start": 171.96, "end": 173.06, "word": " to", "probability": 0.92529296875}, {"start": 173.06, "end": 173.48, "word": " minus", "probability": 0.916015625}, {"start": 173.48, "end": 173.88, "word": " one", "probability": 0.93359375}, {"start": 173.88, "end": 174.38, "word": " diopter", "probability": 0.9593098958333334}, {"start": 174.38, "end": 174.68, "word": " minus", "probability": 0.64990234375}, {"start": 174.68, "end": 175.26, "word": " one", "probability": 0.9365234375}, {"start": 175.26, "end": 176.74, "word": " diopter", "probability": 0.958984375}, {"start": 176.74, "end": 177.28, "word": " quickly", "probability": 0.3837890625}, {"start": 177.28, "end": 177.7, "word": " I", "probability": 0.650390625}, {"start": 177.7, "end": 178.24, "word": " put", "probability": 0.1715087890625}, {"start": 178.24, "end": 181.2, "word": " that", "probability": 0.505859375}, {"start": 181.2, "end": 181.38, "word": " the", "probability": 0.5732421875}, {"start": 181.38, "end": 181.56, "word": " light", "probability": 0.67724609375}, {"start": 181.56, "end": 181.76, "word": " will", "probability": 0.345458984375}, {"start": 181.76, "end": 182.02, "word": " come", "probability": 0.630859375}, {"start": 182.02, "end": 182.2, "word": " out", "probability": 0.826171875}, {"start": 182.2, "end": 182.3, "word": " with", "probability": 0.427978515625}, {"start": 182.3, "end": 182.78, "word": " minus", "probability": 0.94189453125}, {"start": 182.78, "end": 183.3, "word": " one", "probability": 0.931640625}, {"start": 183.3, "end": 183.98, "word": " diopter", "probability": 0.9519856770833334}], "temperature": 1.0}, {"id": 7, "seek": 21153, "start": 184.75, "end": 211.53, "text": "يعني الأشعة divergent، الأشعة divergent مش هتكون صورة حقيقية، وإن ما اللي هيتكون صورة تخيلية، مكانها على شمال العدسة، نشوف ال I وين هتكون، V تساوي هنشرطة على I، I تساوي هنشرطة على V", "tokens": [40228, 22653, 16247, 8592, 27884, 18558, 6930, 12399, 16247, 8592, 27884, 18558, 6930, 37893, 8032, 2655, 30544, 20328, 13063, 3660, 11331, 38436, 4587, 10632, 12399, 4032, 28814, 1863, 19446, 13672, 1829, 8032, 36081, 30544, 20328, 13063, 3660, 6055, 9778, 26895, 10632, 12399, 3714, 41361, 11296, 15844, 13412, 2304, 6027, 18863, 3215, 3794, 3660, 12399, 8717, 8592, 38688, 2423, 286, 4032, 9957, 8032, 2655, 30544, 12399, 691, 6055, 3794, 995, 45865, 8032, 1863, 46309, 9566, 3660, 15844, 286, 12399, 286, 6055, 3794, 995, 45865, 8032, 1863, 46309, 9566, 3660, 15844, 691], "avg_logprob": -0.16406250196498828, "compression_ratio": 1.8323353293413174, "no_speech_prob": 4.947185516357422e-06, "words": [{"start": 184.75, "end": 185.15, "word": "يعني", "probability": 0.57568359375}, {"start": 185.15, "end": 185.67, "word": " الأشعة", "probability": 0.86572265625}, {"start": 185.67, "end": 186.89, "word": " divergent،", "probability": 0.6712239583333334}, {"start": 186.89, "end": 187.29, "word": " الأشعة", "probability": 0.9514973958333334}, {"start": 187.29, "end": 187.97, "word": " divergent", "probability": 0.845458984375}, {"start": 187.97, "end": 188.19, "word": " مش", "probability": 0.9365234375}, {"start": 188.19, "end": 188.67, "word": " هتكون", "probability": 0.8995768229166666}, {"start": 188.67, "end": 189.03, "word": " صورة", "probability": 0.98974609375}, {"start": 189.03, "end": 190.23, "word": " حقيقية،", "probability": 0.862939453125}, {"start": 190.23, "end": 190.53, "word": " وإن", "probability": 0.9475911458333334}, {"start": 190.53, "end": 190.79, "word": " ما", "probability": 0.324951171875}, {"start": 190.79, "end": 191.31, "word": " اللي", "probability": 0.919189453125}, {"start": 191.31, "end": 191.89, "word": " هيتكون", "probability": 0.8753255208333334}, {"start": 191.89, "end": 192.31, "word": " صورة", "probability": 0.9908854166666666}, {"start": 192.31, "end": 193.77, "word": " تخيلية،", "probability": 0.82001953125}, {"start": 193.77, "end": 195.43, "word": " مكانها", "probability": 0.9921875}, {"start": 195.43, "end": 196.71, "word": " على", "probability": 0.921875}, {"start": 196.71, "end": 197.09, "word": " شمال", "probability": 0.9373372395833334}, {"start": 197.09, "end": 197.51, "word": " العدسة،", "probability": 0.8912109375}, {"start": 197.51, "end": 197.87, "word": " نشوف", "probability": 0.8359375}, {"start": 197.87, "end": 198.25, "word": " ال", "probability": 0.94921875}, {"start": 198.25, "end": 198.49, "word": " I", "probability": 0.765625}, {"start": 198.49, "end": 198.71, "word": " وين", "probability": 0.88671875}, {"start": 198.71, "end": 200.23, "word": " هتكون،", "probability": 0.9010009765625}, {"start": 200.23, "end": 200.57, "word": " V", "probability": 0.88818359375}, {"start": 200.57, "end": 202.75, "word": " تساوي", "probability": 0.891845703125}, {"start": 202.75, "end": 203.79, "word": " هنشرطة", "probability": 0.66712646484375}, {"start": 203.79, "end": 203.95, "word": " على", "probability": 0.89013671875}, {"start": 203.95, "end": 207.15, "word": " I،", "probability": 0.966064453125}, {"start": 207.15, "end": 208.13, "word": " I", "probability": 0.98828125}, {"start": 208.13, "end": 208.77, "word": " تساوي", "probability": 0.967041015625}, {"start": 208.77, "end": 211.03, "word": " هنشرطة", "probability": 0.969921875}, {"start": 211.03, "end": 211.25, "word": " على", "probability": 0.94580078125}, {"start": 211.25, "end": 211.53, "word": " V", "probability": 0.9931640625}], "temperature": 1.0}, {"id": 8, "seek": 24284, "start": 213.52, "end": 242.84, "text": "and it's equal to 1 divided by v minus 1 as we can see and it's equal to 1 divided by minus 1 which is minus 1 and the diopter meter minus 1 which is minus 1 meter which is 1 meter on the left of the lens the picture will be 1 meter away from the lens here I have 50 cm so it's 1 meter away from the lens", "tokens": [474, 309, 311, 2681, 281, 502, 6666, 538, 371, 3175, 502, 382, 321, 393, 536, 293, 309, 311, 2681, 281, 502, 6666, 538, 3175, 502, 597, 307, 3175, 502, 293, 264, 1026, 404, 391, 9255, 3175, 502, 597, 307, 3175, 502, 9255, 597, 307, 502, 9255, 322, 264, 1411, 295, 264, 6765, 264, 3036, 486, 312, 502, 9255, 1314, 490, 264, 6765, 510, 286, 362, 2625, 14668, 370, 309, 311, 502, 9255, 1314, 490, 264, 6765], "avg_logprob": -0.5255682065889433, "compression_ratio": 2.111111111111111, "no_speech_prob": 1.0728836059570312e-06, "words": [{"start": 213.52, "end": 213.78, "word": "and", "probability": 0.1483154296875}, {"start": 213.78, "end": 213.96, "word": " it's", "probability": 0.38336181640625}, {"start": 213.96, "end": 214.26, "word": " equal", "probability": 0.64404296875}, {"start": 214.26, "end": 215.26, "word": " to", "probability": 0.830078125}, {"start": 215.26, "end": 215.72, "word": " 1", "probability": 0.59130859375}, {"start": 215.72, "end": 216.58, "word": " divided", "probability": 0.1016845703125}, {"start": 216.58, "end": 217.2, "word": " by", "probability": 0.97314453125}, {"start": 217.2, "end": 217.66, "word": " v", "probability": 0.1800537109375}, {"start": 217.66, "end": 218.08, "word": " minus", "probability": 0.630859375}, {"start": 218.08, "end": 218.42, "word": " 1", "probability": 0.8037109375}, {"start": 218.42, "end": 218.58, "word": " as", "probability": 0.06353759765625}, {"start": 218.58, "end": 219.18, "word": " we", "probability": 0.52978515625}, {"start": 219.18, "end": 219.46, "word": " can", "probability": 0.5107421875}, {"start": 219.46, "end": 219.88, "word": " see", "probability": 0.92724609375}, {"start": 219.88, "end": 222.62, "word": " and", "probability": 0.6044921875}, {"start": 222.62, "end": 222.84, "word": " it's", "probability": 0.910888671875}, {"start": 222.84, "end": 223.18, "word": " equal", "probability": 0.9208984375}, {"start": 223.18, "end": 223.6, "word": " to", "probability": 0.9130859375}, {"start": 223.6, "end": 223.86, "word": " 1", "probability": 0.8671875}, {"start": 223.86, "end": 224.1, "word": " divided", "probability": 0.497314453125}, {"start": 224.1, "end": 224.1, "word": " by", "probability": 0.9560546875}, {"start": 224.1, "end": 224.38, "word": " minus", "probability": 0.744140625}, {"start": 224.38, "end": 224.74, "word": " 1", "probability": 0.96728515625}, {"start": 224.74, "end": 224.92, "word": " which", "probability": 0.50048828125}, {"start": 224.92, "end": 225.0, "word": " is", "probability": 0.404541015625}, {"start": 225.0, "end": 225.42, "word": " minus", "probability": 0.736328125}, {"start": 225.42, "end": 225.9, "word": " 1", "probability": 0.95361328125}, {"start": 225.9, "end": 226.18, "word": " and", "probability": 0.8466796875}, {"start": 226.18, "end": 226.26, "word": " the", "probability": 0.6396484375}, {"start": 226.26, "end": 226.58, "word": " diopter", "probability": 0.7825520833333334}, {"start": 226.58, "end": 226.86, "word": " meter", "probability": 0.469970703125}, {"start": 226.86, "end": 227.12, "word": " minus", "probability": 0.6337890625}, {"start": 227.12, "end": 227.62, "word": " 1", "probability": 0.74560546875}, {"start": 227.62, "end": 227.84, "word": " which", "probability": 0.341552734375}, {"start": 227.84, "end": 228.26, "word": " is", "probability": 0.436767578125}, {"start": 228.26, "end": 229.48, "word": " minus", "probability": 0.888671875}, {"start": 229.48, "end": 230.74, "word": " 1", "probability": 0.87890625}, {"start": 230.74, "end": 231.04, "word": " meter", "probability": 0.74267578125}, {"start": 231.04, "end": 231.24, "word": " which", "probability": 0.521484375}, {"start": 231.24, "end": 231.34, "word": " is", "probability": 0.48388671875}, {"start": 231.34, "end": 231.74, "word": " 1", "probability": 0.202392578125}, {"start": 231.74, "end": 233.66, "word": " meter", "probability": 0.8935546875}, {"start": 233.66, "end": 233.66, "word": " on", "probability": 0.31591796875}, {"start": 233.66, "end": 233.66, "word": " the", "probability": 0.8173828125}, {"start": 233.66, "end": 233.66, "word": " left", "probability": 0.52490234375}, {"start": 233.66, "end": 233.66, "word": " of", "probability": 0.4873046875}, {"start": 233.66, "end": 233.66, "word": " the", "probability": 0.8955078125}, {"start": 233.66, "end": 233.66, "word": " lens", "probability": 0.6826171875}, {"start": 233.66, "end": 233.84, "word": " the", "probability": 0.393310546875}, {"start": 233.84, "end": 234.2, "word": " picture", "probability": 0.394775390625}, {"start": 234.2, "end": 235.02, "word": " will", "probability": 0.66796875}, {"start": 235.02, "end": 235.18, "word": " be", "probability": 0.50634765625}, {"start": 235.18, "end": 236.08, "word": " 1", "probability": 0.45703125}, {"start": 236.08, "end": 236.88, "word": " meter", "probability": 0.880859375}, {"start": 236.88, "end": 236.96, "word": " away", "probability": 0.5107421875}, {"start": 236.96, "end": 237.12, "word": " from", "probability": 0.88232421875}, {"start": 237.12, "end": 237.48, "word": " the", "probability": 0.908203125}, {"start": 237.48, "end": 237.82, "word": " lens", "probability": 0.8681640625}, {"start": 237.82, "end": 238.4, "word": " here", "probability": 0.1622314453125}, {"start": 238.4, "end": 238.54, "word": " I", "probability": 0.85546875}, {"start": 238.54, "end": 238.78, "word": " have", "probability": 0.86962890625}, {"start": 238.78, "end": 239.2, "word": " 50", "probability": 0.89306640625}, {"start": 239.2, "end": 239.7, "word": " cm", "probability": 0.42724609375}, {"start": 239.7, "end": 240.62, "word": " so", "probability": 0.484375}, {"start": 240.62, "end": 240.94, "word": " it's", "probability": 0.50360107421875}, {"start": 240.94, "end": 241.2, "word": " 1", "probability": 0.485595703125}, {"start": 241.2, "end": 241.86, "word": " meter", "probability": 0.90576171875}, {"start": 241.86, "end": 241.86, "word": " away", "probability": 0.75244140625}, {"start": 241.86, "end": 242.18, "word": " from", "probability": 0.88427734375}, {"start": 242.18, "end": 242.48, "word": " the", "probability": 0.91455078125}, {"start": 242.48, "end": 242.84, "word": " lens", "probability": 0.86767578125}], "temperature": 1.0}, {"id": 9, "seek": 26752, "start": 244.37, "end": 267.53, "text": "The image should be imaginative. Imaginative. We said that the imaginative image is preferred to be drawn in a dotted shape on the basis of", "tokens": [2278, 3256, 820, 312, 23427, 1166, 13, 34223, 259, 1166, 13, 492, 848, 300, 264, 2576, 259, 1166, 3256, 307, 16494, 281, 312, 10117, 294, 257, 37459, 3909, 322, 264, 5143, 295], "avg_logprob": -0.6600378787878788, "compression_ratio": 1.404040404040404, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 244.37, "end": 244.67, "word": "The", "probability": 0.308837890625}, {"start": 244.67, "end": 244.87, "word": " image", "probability": 0.407470703125}, {"start": 244.87, "end": 245.17, "word": " should", "probability": 0.5068359375}, {"start": 245.17, "end": 245.59, "word": " be", "probability": 0.853515625}, {"start": 245.59, "end": 246.41, "word": " imaginative.", "probability": 0.699951171875}, {"start": 246.47, "end": 247.15, "word": " Imaginative.", "probability": 0.7291666666666666}, {"start": 260.91, "end": 261.59, "word": " We", "probability": 0.5927734375}, {"start": 261.59, "end": 261.85, "word": " said", "probability": 0.70361328125}, {"start": 261.85, "end": 262.23, "word": " that", "probability": 0.56005859375}, {"start": 262.23, "end": 262.31, "word": " the", "probability": 0.449462890625}, {"start": 262.31, "end": 262.77, "word": " imaginative", "probability": 0.5533040364583334}, {"start": 262.77, "end": 262.77, "word": " image", "probability": 0.77685546875}, {"start": 262.77, "end": 262.97, "word": " is", "probability": 0.5830078125}, {"start": 262.97, "end": 263.29, "word": " preferred", "probability": 0.307373046875}, {"start": 263.29, "end": 263.49, "word": " to", "probability": 0.66259765625}, {"start": 263.49, "end": 264.19, "word": " be", "probability": 0.908203125}, {"start": 264.19, "end": 264.63, "word": " drawn", "probability": 0.81494140625}, {"start": 264.63, "end": 264.81, "word": " in", "probability": 0.4130859375}, {"start": 264.81, "end": 265.25, "word": " a", "probability": 0.74609375}, {"start": 265.25, "end": 265.79, "word": " dotted", "probability": 0.11737060546875}, {"start": 265.79, "end": 265.97, "word": " shape", "probability": 0.2939453125}, {"start": 265.97, "end": 266.71, "word": " on", "probability": 0.330322265625}, {"start": 266.71, "end": 266.85, "word": " the", "probability": 0.8486328125}, {"start": 266.85, "end": 267.21, "word": " basis", "probability": 0.94873046875}, {"start": 267.21, "end": 267.53, "word": " of", "probability": 0.8125}], "temperature": 1.0}, {"id": 10, "seek": 28995, "start": 269.66, "end": 289.96, "text": "It means that it is an imaginary image at a distance of one meter. At a distance of one meter. That is, the distance from this imaginary image to the lens is one meter. One meter. So, one meter is the distance", "tokens": [3522, 1355, 300, 309, 307, 364, 26164, 3256, 412, 257, 4560, 295, 472, 9255, 13, 1711, 257, 4560, 295, 472, 9255, 13, 663, 307, 11, 264, 4560, 490, 341, 26164, 3256, 281, 264, 6765, 307, 472, 9255, 13, 1485, 9255, 13, 407, 11, 472, 9255, 307, 264, 4560], "avg_logprob": -0.45790815353393555, "compression_ratio": 1.8660714285714286, "no_speech_prob": 2.9981136322021484e-05, "words": [{"start": 269.65999999999997, "end": 270.4, "word": "It", "probability": 0.18896484375}, {"start": 270.4, "end": 271.02, "word": " means", "probability": 0.35107421875}, {"start": 271.02, "end": 271.02, "word": " that", "probability": 0.5654296875}, {"start": 271.02, "end": 271.3, "word": " it", "probability": 0.6669921875}, {"start": 271.3, "end": 271.3, "word": " is", "probability": 0.48681640625}, {"start": 271.3, "end": 271.48, "word": " an", "probability": 0.505859375}, {"start": 271.48, "end": 272.14, "word": " imaginary", "probability": 0.66748046875}, {"start": 272.14, "end": 272.14, "word": " image", "probability": 0.488525390625}, {"start": 272.14, "end": 272.66, "word": " at", "probability": 0.2181396484375}, {"start": 272.66, "end": 273.04, "word": " a", "probability": 0.6337890625}, {"start": 273.04, "end": 273.04, "word": " distance", "probability": 0.7021484375}, {"start": 273.04, "end": 273.18, "word": " of", "probability": 0.884765625}, {"start": 273.18, "end": 273.26, "word": " one", "probability": 0.5849609375}, {"start": 273.26, "end": 273.52, "word": " meter.", "probability": 0.84912109375}, {"start": 275.04, "end": 275.78, "word": " At", "probability": 0.10302734375}, {"start": 275.78, "end": 276.16, "word": " a", "probability": 0.89013671875}, {"start": 276.16, "end": 276.16, "word": " distance", "probability": 0.94091796875}, {"start": 276.16, "end": 276.26, "word": " of", "probability": 0.95751953125}, {"start": 276.26, "end": 276.5, "word": " one", "probability": 0.87451171875}, {"start": 276.5, "end": 277.02, "word": " meter.", "probability": 0.9365234375}, {"start": 278.08, "end": 278.46, "word": " That", "probability": 0.2415771484375}, {"start": 278.46, "end": 278.46, "word": " is,", "probability": 0.7197265625}, {"start": 278.52, "end": 278.58, "word": " the", "probability": 0.857421875}, {"start": 278.58, "end": 278.86, "word": " distance", "probability": 0.92724609375}, {"start": 278.86, "end": 279.1, "word": " from", "probability": 0.76806640625}, {"start": 279.1, "end": 279.62, "word": " this", "probability": 0.90087890625}, {"start": 279.62, "end": 280.7, "word": " imaginary", "probability": 0.6904296875}, {"start": 280.7, "end": 280.8, "word": " image", "probability": 0.84521484375}, {"start": 280.8, "end": 281.02, "word": " to", "probability": 0.69189453125}, {"start": 281.02, "end": 281.12, "word": " the", "probability": 0.873046875}, {"start": 281.12, "end": 281.4, "word": " lens", "probability": 0.5498046875}, {"start": 281.4, "end": 281.64, "word": " is", "probability": 0.89208984375}, {"start": 281.64, "end": 282.1, "word": " one", "probability": 0.92431640625}, {"start": 282.1, "end": 282.96, "word": " meter.", "probability": 0.9375}, {"start": 283.08, "end": 283.44, "word": " One", "probability": 0.67724609375}, {"start": 283.44, "end": 284.36, "word": " meter.", "probability": 0.9072265625}, {"start": 286.82, "end": 287.56, "word": " So,", "probability": 0.68212890625}, {"start": 287.74, "end": 287.9, "word": " one", "probability": 0.8720703125}, {"start": 287.9, "end": 288.38, "word": " meter", "probability": 0.916015625}, {"start": 288.38, "end": 289.42, "word": " is", "probability": 0.487548828125}, {"start": 289.42, "end": 289.5, "word": " the", "probability": 0.8359375}, {"start": 289.5, "end": 289.96, "word": " distance", "probability": 0.90869140625}], "temperature": 1.0}, {"id": 11, "seek": 31829, "start": 292.73, "end": 318.29, "text": " between the imaginary image and the first lens and the first lens now we bring the transphase magnification let's say T M1 is equal to U over V is equal to minus two diopters over minus one diopters is equal to X plus", "tokens": [1296, 264, 26164, 3256, 293, 264, 700, 6765, 293, 264, 700, 6765, 586, 321, 1565, 264, 1145, 43331, 4944, 3774, 718, 311, 584, 314, 376, 16, 307, 2681, 281, 624, 670, 691, 307, 2681, 281, 3175, 732, 1026, 404, 1559, 670, 3175, 472, 1026, 404, 1559, 307, 2681, 281, 1783, 1804], "avg_logprob": -0.49278848331708175, "compression_ratio": 1.6390977443609023, "no_speech_prob": 1.5497207641601562e-05, "words": [{"start": 292.73, "end": 293.17, "word": " between", "probability": 0.199951171875}, {"start": 293.17, "end": 293.59, "word": " the", "probability": 0.73486328125}, {"start": 293.59, "end": 293.95, "word": " imaginary", "probability": 0.1278076171875}, {"start": 293.95, "end": 293.95, "word": " image", "probability": 0.5546875}, {"start": 293.95, "end": 294.31, "word": " and", "probability": 0.8740234375}, {"start": 294.31, "end": 294.37, "word": " the", "probability": 0.8125}, {"start": 294.37, "end": 295.59, "word": " first", "probability": 0.395263671875}, {"start": 295.59, "end": 295.65, "word": " lens", "probability": 0.465087890625}, {"start": 295.65, "end": 295.77, "word": " and", "probability": 0.1993408203125}, {"start": 295.77, "end": 295.89, "word": " the", "probability": 0.6689453125}, {"start": 295.89, "end": 296.47, "word": " first", "probability": 0.8359375}, {"start": 296.47, "end": 296.47, "word": " lens", "probability": 0.72412109375}, {"start": 296.47, "end": 297.11, "word": " now", "probability": 0.375732421875}, {"start": 297.11, "end": 297.31, "word": " we", "probability": 0.31884765625}, {"start": 297.31, "end": 297.33, "word": " bring", "probability": 0.4013671875}, {"start": 297.33, "end": 297.45, "word": " the", "probability": 0.5029296875}, {"start": 297.45, "end": 297.95, "word": " transphase", "probability": 0.4185791015625}, {"start": 297.95, "end": 298.81, "word": " magnification", "probability": 0.963623046875}, {"start": 298.81, "end": 299.09, "word": " let's", "probability": 0.54949951171875}, {"start": 299.09, "end": 299.25, "word": " say", "probability": 0.93359375}, {"start": 299.25, "end": 299.53, "word": " T", "probability": 0.50439453125}, {"start": 299.53, "end": 300.11, "word": " M1", "probability": 0.4075927734375}, {"start": 300.11, "end": 302.39, "word": " is", "probability": 0.26904296875}, {"start": 302.39, "end": 302.75, "word": " equal", "probability": 0.8828125}, {"start": 302.75, "end": 303.83, "word": " to", "probability": 0.9208984375}, {"start": 303.83, "end": 304.11, "word": " U", "probability": 0.755859375}, {"start": 304.11, "end": 304.33, "word": " over", "probability": 0.4423828125}, {"start": 304.33, "end": 304.69, "word": " V", "probability": 0.98291015625}, {"start": 304.69, "end": 306.99, "word": " is", "probability": 0.394775390625}, {"start": 306.99, "end": 307.43, "word": " equal", "probability": 0.88720703125}, {"start": 307.43, "end": 308.13, "word": " to", "probability": 0.958984375}, {"start": 308.13, "end": 309.25, "word": " minus", "probability": 0.7099609375}, {"start": 309.25, "end": 309.65, "word": " two", "probability": 0.48974609375}, {"start": 309.65, "end": 310.33, "word": " diopters", "probability": 0.8458658854166666}, {"start": 310.33, "end": 311.13, "word": " over", "probability": 0.6455078125}, {"start": 311.13, "end": 312.59, "word": " minus", "probability": 0.9501953125}, {"start": 312.59, "end": 313.03, "word": " one", "probability": 0.92529296875}, {"start": 313.03, "end": 313.75, "word": " diopters", "probability": 0.9309895833333334}, {"start": 313.75, "end": 315.61, "word": " is", "probability": 0.5517578125}, {"start": 315.61, "end": 316.05, "word": " equal", "probability": 0.890625}, {"start": 316.05, "end": 316.79, "word": " to", "probability": 0.96630859375}, {"start": 316.79, "end": 317.21, "word": " X", "probability": 0.74169921875}, {"start": 317.21, "end": 318.29, "word": " plus", "probability": 0.9365234375}], "temperature": 1.0}, {"id": 12, "seek": 34913, "start": 319.53, "end": 349.13, "text": "x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is magnified and regular x plus 2 means that the image is", "tokens": [87, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307, 4944, 2587, 293, 3890, 2031, 1804, 568, 1355, 300, 264, 3256, 307], "avg_logprob": -0.20250000635782878, "compression_ratio": 14.81159420289855, "no_speech_prob": 5.900859832763672e-06, "words": [{"start": 319.53, "end": 319.99, "word": "x", "probability": 0.045013427734375}, {"start": 319.99, "end": 319.99, "word": " plus", "probability": 0.08251953125}, {"start": 319.99, "end": 319.99, "word": " 2", "probability": 0.52587890625}, {"start": 319.99, "end": 321.31, "word": " means", "probability": 0.30126953125}, {"start": 321.31, "end": 321.55, "word": " that", "probability": 0.28955078125}, {"start": 321.55, "end": 321.55, "word": " the", "probability": 0.57373046875}, {"start": 321.55, "end": 321.69, "word": " image", "probability": 0.3994140625}, {"start": 321.69, "end": 321.89, "word": " is", "probability": 0.86865234375}, {"start": 321.89, "end": 322.29, "word": " magnified", "probability": 0.58843994140625}, {"start": 322.29, "end": 322.47, "word": " and", "probability": 0.76953125}, {"start": 322.47, "end": 322.83, "word": " regular", "probability": 0.2379150390625}, {"start": 322.83, "end": 323.33, "word": " x", "probability": 0.0841064453125}, {"start": 323.33, "end": 323.67, "word": " plus", "probability": 0.8828125}, {"start": 323.67, "end": 323.67, "word": " 2", "probability": 0.79150390625}, {"start": 323.67, "end": 323.67, "word": " means", "probability": 0.09442138671875}, {"start": 323.67, "end": 323.67, "word": " that", "probability": 0.6455078125}, {"start": 323.67, "end": 323.67, "word": " the", "probability": 0.362548828125}, {"start": 323.67, "end": 323.67, "word": " image", "probability": 0.8232421875}, {"start": 323.67, "end": 323.67, "word": " is", "probability": 0.884765625}, {"start": 323.67, "end": 323.67, "word": " magnified", "probability": 0.913818359375}, {"start": 323.67, "end": 324.41, "word": " and", "probability": 0.435546875}, {"start": 324.41, "end": 325.77, "word": " regular", "probability": 0.95361328125}, {"start": 325.77, "end": 326.95, "word": " x", "probability": 0.400146484375}, {"start": 326.95, "end": 326.95, "word": " plus", "probability": 0.9404296875}, {"start": 326.95, "end": 326.95, "word": " 2", "probability": 0.9599609375}, {"start": 326.95, "end": 326.95, "word": " means", "probability": 0.34912109375}, {"start": 326.95, "end": 326.95, "word": " that", "probability": 0.86474609375}, {"start": 326.95, "end": 329.81, "word": " the", "probability": 0.8623046875}, {"start": 329.81, "end": 329.81, "word": " image", "probability": 0.93017578125}, {"start": 329.81, "end": 330.85, "word": " is", "probability": 0.9482421875}, {"start": 330.85, "end": 331.27, "word": " magnified", "probability": 0.9150390625}, {"start": 331.27, "end": 331.27, "word": " and", "probability": 0.9150390625}, {"start": 331.27, "end": 331.27, "word": " regular", "probability": 0.9541015625}, {"start": 331.27, "end": 331.27, "word": " x", "probability": 0.3525390625}, {"start": 331.27, "end": 331.27, "word": " plus", "probability": 0.94580078125}, {"start": 331.27, "end": 331.27, "word": " 2", "probability": 0.97412109375}, {"start": 331.27, "end": 331.27, "word": " means", "probability": 0.3828125}, {"start": 331.27, "end": 331.27, "word": " that", "probability": 0.87451171875}, {"start": 331.27, "end": 331.27, "word": " the", "probability": 0.88916015625}, {"start": 331.27, "end": 331.27, "word": " image", "probability": 0.92919921875}, {"start": 331.27, "end": 333.21, "word": " is", "probability": 0.95068359375}, {"start": 333.21, "end": 333.21, "word": " magnified", "probability": 0.912841796875}, {"start": 333.21, "end": 333.21, "word": " and", "probability": 0.9384765625}, {"start": 333.21, "end": 333.21, "word": " regular", "probability": 0.95458984375}, {"start": 333.21, "end": 333.21, "word": " x", "probability": 0.5068359375}, {"start": 333.21, "end": 333.21, "word": " plus", "probability": 0.9482421875}, {"start": 333.21, "end": 333.21, "word": " 2", "probability": 0.97802734375}, {"start": 333.21, "end": 333.21, "word": " means", "probability": 0.413818359375}, {"start": 333.21, "end": 335.45, "word": " that", "probability": 0.90234375}, {"start": 335.45, "end": 335.77, "word": " the", "probability": 0.89794921875}, {"start": 335.77, "end": 335.77, "word": " image", "probability": 0.92919921875}, {"start": 335.77, "end": 335.77, "word": " is", "probability": 0.951171875}, {"start": 335.77, "end": 335.77, "word": " magnified", "probability": 0.95263671875}, {"start": 335.77, "end": 335.77, "word": " and", "probability": 0.9423828125}, {"start": 335.77, "end": 335.77, "word": " regular", "probability": 0.9541015625}, {"start": 335.77, "end": 335.77, "word": " x", "probability": 0.7216796875}, {"start": 335.77, "end": 336.27, "word": " plus", "probability": 0.94970703125}, {"start": 336.27, "end": 336.93, "word": " 2", "probability": 0.98388671875}, {"start": 336.93, "end": 337.67, "word": " means", "probability": 0.42431640625}, {"start": 337.67, "end": 337.67, "word": " that", "probability": 0.92578125}, {"start": 337.67, "end": 337.67, "word": " the", "probability": 0.9072265625}, {"start": 337.67, "end": 337.67, "word": " image", "probability": 0.92919921875}, {"start": 337.67, "end": 337.67, "word": " is", "probability": 0.9521484375}, {"start": 337.67, "end": 337.67, "word": " magnified", "probability": 0.96728515625}, {"start": 337.67, "end": 337.67, "word": " and", "probability": 0.9443359375}, {"start": 337.67, "end": 337.67, "word": " regular", "probability": 0.953125}, {"start": 337.67, "end": 337.67, "word": " x", "probability": 0.8603515625}, {"start": 337.67, "end": 338.29, "word": " plus", "probability": 0.95166015625}, {"start": 338.29, "end": 338.29, "word": " 2", "probability": 0.98779296875}, {"start": 338.29, "end": 338.89, "word": " means", "probability": 0.427490234375}, {"start": 338.89, "end": 338.89, "word": " that", "probability": 0.93603515625}, {"start": 338.89, "end": 338.89, "word": " the", "probability": 0.9150390625}, {"start": 338.89, "end": 338.89, "word": " image", "probability": 0.9287109375}, {"start": 338.89, "end": 338.89, "word": " is", "probability": 0.9521484375}, {"start": 338.89, "end": 338.89, "word": " magnified", "probability": 0.971435546875}, {"start": 338.89, "end": 338.89, "word": " and", "probability": 0.94384765625}, {"start": 338.89, "end": 338.89, "word": " regular", "probability": 0.95166015625}, {"start": 338.89, "end": 338.89, "word": " x", "probability": 0.92529296875}, {"start": 338.89, "end": 339.11, "word": " plus", "probability": 0.953125}, {"start": 339.11, "end": 339.11, "word": " 2", "probability": 0.99072265625}, {"start": 339.11, "end": 339.11, "word": " means", "probability": 0.428955078125}, {"start": 339.11, "end": 339.11, "word": " that", "probability": 0.94189453125}, {"start": 339.11, "end": 339.11, "word": " the", "probability": 0.9208984375}, {"start": 339.11, "end": 339.15, "word": " image", "probability": 0.92822265625}, {"start": 339.15, "end": 339.15, "word": " is", "probability": 0.9521484375}, {"start": 339.15, "end": 339.15, "word": " magnified", "probability": 0.97216796875}, {"start": 339.15, "end": 339.15, "word": " and", "probability": 0.94482421875}, {"start": 339.15, "end": 339.15, "word": " regular", "probability": 0.94677734375}, {"start": 339.15, "end": 339.15, "word": " x", "probability": 0.9541015625}, {"start": 339.15, "end": 339.15, "word": " plus", "probability": 0.955078125}, {"start": 339.15, "end": 339.15, "word": " 2", "probability": 0.9921875}, {"start": 339.15, "end": 339.15, "word": " means", "probability": 0.44091796875}, {"start": 339.15, "end": 339.15, "word": " that", "probability": 0.9443359375}, {"start": 339.15, "end": 339.15, "word": " the", "probability": 0.92431640625}, {"start": 339.15, "end": 339.15, "word": " image", "probability": 0.92919921875}, {"start": 339.15, "end": 339.15, "word": " is", "probability": 0.95263671875}, {"start": 339.15, "end": 339.15, "word": " magnified", "probability": 0.97216796875}, {"start": 339.15, "end": 339.15, "word": " and", "probability": 0.94384765625}, {"start": 339.15, "end": 339.15, "word": " regular", "probability": 0.94140625}, {"start": 339.15, "end": 339.15, "word": " x", "probability": 0.96728515625}, {"start": 339.15, "end": 339.15, "word": " plus", "probability": 0.95556640625}, {"start": 339.15, "end": 339.15, "word": " 2", "probability": 0.9931640625}, {"start": 339.15, "end": 339.15, "word": " means", "probability": 0.4580078125}, {"start": 339.15, "end": 339.15, "word": " that", "probability": 0.9443359375}, {"start": 339.15, "end": 339.15, "word": " the", "probability": 0.927734375}, {"start": 339.15, "end": 339.27, "word": " image", "probability": 0.93017578125}, {"start": 339.27, "end": 339.27, "word": " is", "probability": 0.951171875}, {"start": 339.27, "end": 339.31, "word": " magnified", "probability": 0.9716796875}, {"start": 339.31, "end": 339.33, "word": " and", "probability": 0.94384765625}, {"start": 339.33, "end": 339.35, "word": " regular", "probability": 0.935546875}, {"start": 339.35, "end": 339.73, "word": " x", "probability": 0.97412109375}, {"start": 339.73, "end": 339.73, "word": " plus", "probability": 0.95556640625}, {"start": 339.73, "end": 339.73, "word": " 2", "probability": 0.9931640625}, {"start": 339.73, "end": 339.73, "word": " means", "probability": 0.482666015625}, {"start": 339.73, "end": 339.83, "word": " that", "probability": 0.9453125}, {"start": 339.83, "end": 339.83, "word": " the", "probability": 0.92919921875}, {"start": 339.83, "end": 339.83, "word": " image", "probability": 0.931640625}, {"start": 339.83, "end": 339.83, "word": " is", "probability": 0.95263671875}, {"start": 339.83, "end": 339.83, "word": " magnified", "probability": 0.970458984375}, {"start": 339.83, "end": 339.83, "word": " and", "probability": 0.94384765625}, {"start": 339.83, "end": 339.83, "word": " regular", "probability": 0.92822265625}, {"start": 339.83, "end": 339.87, "word": " x", "probability": 0.978515625}, {"start": 339.87, "end": 339.87, "word": " plus", "probability": 0.95458984375}, {"start": 339.87, "end": 339.87, "word": " 2", "probability": 0.9931640625}, {"start": 339.87, "end": 339.87, "word": " means", "probability": 0.50634765625}, {"start": 339.87, "end": 339.87, "word": " that", "probability": 0.94580078125}, {"start": 339.87, "end": 339.87, "word": " the", "probability": 0.9296875}, {"start": 339.87, "end": 339.87, "word": " image", "probability": 0.93359375}, {"start": 339.87, "end": 339.87, "word": " is", "probability": 0.951171875}, {"start": 339.87, "end": 339.87, "word": " magnified", "probability": 0.97021484375}, {"start": 339.87, "end": 339.87, "word": " and", "probability": 0.943359375}, {"start": 339.87, "end": 339.87, "word": " regular", "probability": 0.91796875}, {"start": 339.87, "end": 339.95, "word": " x", "probability": 0.98046875}, {"start": 339.95, "end": 339.95, "word": " plus", "probability": 0.9521484375}, {"start": 339.95, "end": 339.95, "word": " 2", "probability": 0.99267578125}, {"start": 339.95, "end": 339.95, "word": " means", "probability": 0.53564453125}, {"start": 339.95, "end": 339.95, "word": " that", "probability": 0.9462890625}, {"start": 339.95, "end": 339.95, "word": " the", "probability": 0.9306640625}, {"start": 339.95, "end": 339.95, "word": " image", "probability": 0.93603515625}, {"start": 339.95, "end": 339.95, "word": " is", "probability": 0.951171875}, {"start": 339.95, "end": 339.95, "word": " magnified", "probability": 0.968505859375}, {"start": 339.95, "end": 339.95, "word": " and", "probability": 0.94091796875}, {"start": 339.95, "end": 339.95, "word": " regular", "probability": 0.90673828125}, {"start": 339.95, "end": 340.21, "word": " x", "probability": 0.9814453125}, {"start": 340.21, "end": 340.21, "word": " plus", "probability": 0.947265625}, {"start": 340.21, "end": 340.21, "word": " 2", "probability": 0.9912109375}, {"start": 340.21, "end": 340.21, "word": " means", "probability": 0.564453125}, {"start": 340.21, "end": 340.21, "word": " that", "probability": 0.94580078125}, {"start": 340.21, "end": 340.21, "word": " the", "probability": 0.93115234375}, {"start": 340.21, "end": 340.21, "word": " image", "probability": 0.9375}, {"start": 340.21, "end": 340.21, "word": " is", "probability": 0.95068359375}, {"start": 340.21, "end": 340.21, "word": " magnified", "probability": 0.965576171875}, {"start": 340.21, "end": 340.21, "word": " and", "probability": 0.94091796875}, {"start": 340.21, "end": 340.21, "word": " regular", "probability": 0.8916015625}, {"start": 340.21, "end": 340.21, "word": " x", "probability": 0.982421875}, {"start": 340.21, "end": 340.21, "word": " plus", "probability": 0.94189453125}, {"start": 340.21, "end": 340.21, "word": " 2", "probability": 0.98974609375}, {"start": 340.21, "end": 340.21, "word": " means", "probability": 0.578125}, {"start": 340.21, "end": 340.21, "word": " that", "probability": 0.94580078125}, {"start": 340.21, "end": 340.21, "word": " the", "probability": 0.931640625}, {"start": 340.21, "end": 340.21, "word": " image", "probability": 0.9404296875}, {"start": 340.21, "end": 340.21, "word": " is", "probability": 0.9501953125}, {"start": 340.21, "end": 340.21, "word": " magnified", "probability": 0.96142578125}, {"start": 340.21, "end": 340.21, "word": " and", "probability": 0.9375}, {"start": 340.21, "end": 340.21, "word": " regular", "probability": 0.87646484375}, {"start": 340.21, "end": 340.21, "word": " x", "probability": 0.98291015625}, {"start": 340.21, "end": 340.21, "word": " plus", "probability": 0.93603515625}, {"start": 340.21, "end": 340.21, "word": " 2", "probability": 0.986328125}, {"start": 340.21, "end": 340.21, "word": " means", "probability": 0.5830078125}, {"start": 340.21, "end": 340.21, "word": " that", "probability": 0.9453125}, {"start": 340.21, "end": 340.21, "word": " the", "probability": 0.9306640625}, {"start": 340.21, "end": 340.21, "word": " image", "probability": 0.94189453125}, {"start": 340.21, "end": 340.21, "word": " is", "probability": 0.94921875}, {"start": 340.21, "end": 340.21, "word": " magnified", "probability": 0.95654296875}, {"start": 340.21, "end": 340.21, "word": " and", "probability": 0.93408203125}, {"start": 340.21, "end": 340.21, "word": " regular", "probability": 0.85498046875}, {"start": 340.21, "end": 341.31, "word": " x", "probability": 0.98193359375}, {"start": 341.31, "end": 341.43, "word": " plus", "probability": 0.93359375}, {"start": 341.43, "end": 341.71, "word": " 2", "probability": 0.98193359375}, {"start": 341.71, "end": 341.89, "word": " means", "probability": 0.57373046875}, {"start": 341.89, "end": 342.69, "word": " that", "probability": 0.9453125}, {"start": 342.69, "end": 342.69, "word": " the", "probability": 0.9296875}, {"start": 342.69, "end": 342.89, "word": " image", "probability": 0.9423828125}, {"start": 342.89, "end": 343.09, "word": " is", "probability": 0.947265625}, {"start": 343.09, "end": 343.09, "word": " magnified", "probability": 0.95166015625}, {"start": 343.09, "end": 344.15, "word": " and", "probability": 0.931640625}, {"start": 344.15, "end": 344.15, "word": " regular", "probability": 0.82275390625}, {"start": 344.15, "end": 344.25, "word": " x", "probability": 0.9794921875}, {"start": 344.25, "end": 344.43, "word": " plus", "probability": 0.9296875}, {"start": 344.43, "end": 344.65, "word": " 2", "probability": 0.9755859375}, {"start": 344.65, "end": 344.81, "word": " means", "probability": 0.55615234375}, {"start": 344.81, "end": 345.03, "word": " that", "probability": 0.94384765625}, {"start": 345.03, "end": 345.03, "word": " the", "probability": 0.9267578125}, {"start": 345.03, "end": 345.03, "word": " image", "probability": 0.9423828125}, {"start": 345.03, "end": 345.05, "word": " is", "probability": 0.9443359375}, {"start": 345.05, "end": 346.09, "word": " magnified", "probability": 0.9462890625}, {"start": 346.09, "end": 346.15, "word": " and", "probability": 0.92822265625}, {"start": 346.15, "end": 346.25, "word": " regular", "probability": 0.76611328125}, {"start": 346.25, "end": 346.65, "word": " x", "probability": 0.9736328125}, {"start": 346.65, "end": 346.67, "word": " plus", "probability": 0.92626953125}, {"start": 346.67, "end": 347.31, "word": " 2", "probability": 0.9677734375}, {"start": 347.31, "end": 347.73, "word": " means", "probability": 0.5126953125}, {"start": 347.73, "end": 349.07, "word": " that", "probability": 0.94140625}, {"start": 349.07, "end": 349.09, "word": " the", "probability": 0.9208984375}, {"start": 349.09, "end": 349.11, "word": " image", "probability": 0.9404296875}, {"start": 349.11, "end": 349.13, "word": " is", "probability": 0.93798828125}], "temperature": 1.0}, {"id": 13, "seek": 37277, "start": 349.85, "end": 372.77, "text": "The second lens, how much the object is away from it I will delete this, the dotted line I will copy the cover again to cover the first lens", "tokens": [2278, 1150, 6765, 11, 577, 709, 264, 2657, 307, 1314, 490, 309, 286, 486, 12097, 341, 11, 264, 37459, 1622, 286, 486, 5055, 264, 2060, 797, 281, 2060, 264, 700, 6765], "avg_logprob": -0.5864257849752903, "compression_ratio": 1.320754716981132, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 349.85, "end": 350.11, "word": "The", "probability": 0.421630859375}, {"start": 350.11, "end": 350.83, "word": " second", "probability": 0.615234375}, {"start": 350.83, "end": 350.83, "word": " lens,", "probability": 0.7021484375}, {"start": 351.89, "end": 352.11, "word": " how", "probability": 0.43115234375}, {"start": 352.11, "end": 352.31, "word": " much", "probability": 0.34130859375}, {"start": 352.31, "end": 352.41, "word": " the", "probability": 0.2259521484375}, {"start": 352.41, "end": 352.77, "word": " object", "probability": 0.85205078125}, {"start": 352.77, "end": 353.23, "word": " is", "probability": 0.2308349609375}, {"start": 353.23, "end": 353.61, "word": " away", "probability": 0.58544921875}, {"start": 353.61, "end": 356.15, "word": " from", "probability": 0.8515625}, {"start": 356.15, "end": 356.29, "word": " it", "probability": 0.84130859375}, {"start": 356.29, "end": 359.63, "word": " I", "probability": 0.47216796875}, {"start": 359.63, "end": 364.63, "word": " will", "probability": 0.42529296875}, {"start": 364.63, "end": 364.75, "word": " delete", "probability": 0.3837890625}, {"start": 364.75, "end": 365.23, "word": " this,", "probability": 0.73046875}, {"start": 365.55, "end": 365.97, "word": " the", "probability": 0.55908203125}, {"start": 365.97, "end": 366.69, "word": " dotted", "probability": 0.244873046875}, {"start": 366.69, "end": 366.69, "word": " line", "probability": 0.90625}, {"start": 366.69, "end": 367.51, "word": " I", "probability": 0.58203125}, {"start": 367.51, "end": 367.71, "word": " will", "probability": 0.76025390625}, {"start": 367.71, "end": 368.09, "word": " copy", "probability": 0.82275390625}, {"start": 368.09, "end": 368.75, "word": " the", "probability": 0.77685546875}, {"start": 368.75, "end": 369.03, "word": " cover", "probability": 0.451904296875}, {"start": 369.03, "end": 369.85, "word": " again", "probability": 0.759765625}, {"start": 369.85, "end": 371.93, "word": " to", "probability": 0.54248046875}, {"start": 371.93, "end": 372.29, "word": " cover", "probability": 0.6455078125}, {"start": 372.29, "end": 372.45, "word": " the", "probability": 0.91455078125}, {"start": 372.45, "end": 372.47, "word": " first", "probability": 0.85400390625}, {"start": 372.47, "end": 372.77, "word": " lens", "probability": 0.8740234375}], "temperature": 1.0}, {"id": 14, "seek": 40358, "start": 375.28, "end": 403.58, "text": "But before I cover the first lens, we say that the distance between the two lenses is one meter. And the distance between the first lens and its image, which will be considered an object for the second lens, is one meter. So one meter and one meter, two meters. The body of the second lens is two meters away from it. I will add to it a drawing in red, because it is blue.", "tokens": [7835, 949, 286, 2060, 264, 700, 6765, 11, 321, 584, 300, 264, 4560, 1296, 264, 732, 18059, 307, 472, 9255, 13, 400, 264, 4560, 1296, 264, 700, 6765, 293, 1080, 3256, 11, 597, 486, 312, 4888, 364, 2657, 337, 264, 1150, 6765, 11, 307, 472, 9255, 13, 407, 472, 9255, 293, 472, 9255, 11, 732, 8146, 13, 440, 1772, 295, 264, 1150, 6765, 307, 732, 8146, 1314, 490, 309, 13, 286, 486, 909, 281, 309, 257, 6316, 294, 2182, 11, 570, 309, 307, 3344, 13], "avg_logprob": -0.3913517521564351, "compression_ratio": 1.8415841584158417, "no_speech_prob": 2.2351741790771484e-05, "words": [{"start": 375.28, "end": 375.52, "word": "But", "probability": 0.300048828125}, {"start": 375.52, "end": 375.8, "word": " before", "probability": 0.767578125}, {"start": 375.8, "end": 376.0, "word": " I", "probability": 0.63720703125}, {"start": 376.0, "end": 376.2, "word": " cover", "probability": 0.556640625}, {"start": 376.2, "end": 376.8, "word": " the", "probability": 0.83642578125}, {"start": 376.8, "end": 376.98, "word": " first", "probability": 0.81591796875}, {"start": 376.98, "end": 376.98, "word": " lens,", "probability": 0.693359375}, {"start": 377.5, "end": 377.66, "word": " we", "probability": 0.267333984375}, {"start": 377.66, "end": 377.88, "word": " say", "probability": 0.703125}, {"start": 377.88, "end": 378.02, "word": " that", "probability": 0.371826171875}, {"start": 378.02, "end": 378.06, "word": " the", "probability": 0.78564453125}, {"start": 378.06, "end": 378.38, "word": " distance", "probability": 0.908203125}, {"start": 378.38, "end": 378.66, "word": " between", "probability": 0.84375}, {"start": 378.66, "end": 378.8, "word": " the", "probability": 0.52587890625}, {"start": 378.8, "end": 379.38, "word": " two", "probability": 0.833984375}, {"start": 379.38, "end": 379.38, "word": " lenses", "probability": 0.89697265625}, {"start": 379.38, "end": 379.88, "word": " is", "probability": 0.89892578125}, {"start": 379.88, "end": 379.98, "word": " one", "probability": 0.54248046875}, {"start": 379.98, "end": 380.2, "word": " meter.", "probability": 0.9228515625}, {"start": 381.08, "end": 381.56, "word": " And", "probability": 0.5380859375}, {"start": 381.56, "end": 381.64, "word": " the", "probability": 0.85693359375}, {"start": 381.64, "end": 381.94, "word": " distance", "probability": 0.93994140625}, {"start": 381.94, "end": 382.18, "word": " between", "probability": 0.8544921875}, {"start": 382.18, "end": 382.34, "word": " the", "probability": 0.91259765625}, {"start": 382.34, "end": 382.9, "word": " first", "probability": 0.85107421875}, {"start": 382.9, "end": 382.9, "word": " lens", "probability": 0.83935546875}, {"start": 382.9, "end": 383.08, "word": " and", "probability": 0.92333984375}, {"start": 383.08, "end": 383.12, "word": " its", "probability": 0.84912109375}, {"start": 383.12, "end": 383.44, "word": " image,", "probability": 0.73046875}, {"start": 383.74, "end": 383.84, "word": " which", "probability": 0.90673828125}, {"start": 383.84, "end": 384.0, "word": " will", "probability": 0.73779296875}, {"start": 384.0, "end": 384.12, "word": " be", "probability": 0.93603515625}, {"start": 384.12, "end": 384.42, "word": " considered", "probability": 0.68115234375}, {"start": 384.42, "end": 384.52, "word": " an", "probability": 0.394775390625}, {"start": 384.52, "end": 384.74, "word": " object", "probability": 0.9716796875}, {"start": 384.74, "end": 384.94, "word": " for", "probability": 0.576171875}, {"start": 384.94, "end": 385.06, "word": " the", "probability": 0.89990234375}, {"start": 385.06, "end": 385.68, "word": " second", "probability": 0.79736328125}, {"start": 385.68, "end": 385.74, "word": " lens,", "probability": 0.92822265625}, {"start": 386.26, "end": 386.66, "word": " is", "probability": 0.5927734375}, {"start": 386.66, "end": 386.84, "word": " one", "probability": 0.6953125}, {"start": 386.84, "end": 387.36, "word": " meter.", "probability": 0.8095703125}, {"start": 387.5, "end": 387.98, "word": " So", "probability": 0.7744140625}, {"start": 387.98, "end": 388.26, "word": " one", "probability": 0.5986328125}, {"start": 388.26, "end": 388.5, "word": " meter", "probability": 0.8359375}, {"start": 388.5, "end": 388.76, "word": " and", "probability": 0.806640625}, {"start": 388.76, "end": 388.9, "word": " one", "probability": 0.77001953125}, {"start": 388.9, "end": 389.14, "word": " meter,", "probability": 0.85107421875}, {"start": 389.26, "end": 389.34, "word": " two", "probability": 0.75927734375}, {"start": 389.34, "end": 389.58, "word": " meters.", "probability": 0.955078125}, {"start": 389.84, "end": 389.98, "word": " The", "probability": 0.78173828125}, {"start": 389.98, "end": 390.18, "word": " body", "probability": 0.29150390625}, {"start": 390.18, "end": 390.34, "word": " of", "probability": 0.96533203125}, {"start": 390.34, "end": 390.4, "word": " the", "probability": 0.91845703125}, {"start": 390.4, "end": 391.18, "word": " second", "probability": 0.83154296875}, {"start": 391.18, "end": 391.26, "word": " lens", "probability": 0.8974609375}, {"start": 391.26, "end": 392.14, "word": " is", "probability": 0.6640625}, {"start": 392.14, "end": 392.52, "word": " two", "probability": 0.865234375}, {"start": 392.52, "end": 392.84, "word": " meters", "probability": 0.9482421875}, {"start": 392.84, "end": 392.84, "word": " away", "probability": 0.79150390625}, {"start": 392.84, "end": 393.16, "word": " from", "probability": 0.76953125}, {"start": 393.16, "end": 393.38, "word": " it.", "probability": 0.87109375}, {"start": 396.76, "end": 397.22, "word": " I", "probability": 0.94482421875}, {"start": 397.22, "end": 397.52, "word": " will", "probability": 0.455810546875}, {"start": 397.52, "end": 397.54, "word": " add", "probability": 0.83984375}, {"start": 397.54, "end": 397.7, "word": " to", "probability": 0.267578125}, {"start": 397.7, "end": 398.6, "word": " it", "probability": 0.822265625}, {"start": 398.6, "end": 399.78, "word": " a", "probability": 0.552734375}, {"start": 399.78, "end": 400.02, "word": " drawing", "probability": 0.41552734375}, {"start": 400.02, "end": 400.26, "word": " in", "probability": 0.716796875}, {"start": 400.26, "end": 401.5, "word": " red,", "probability": 0.9130859375}, {"start": 401.66, "end": 402.02, "word": " because", "probability": 0.349365234375}, {"start": 402.02, "end": 402.74, "word": " it", "probability": 0.67431640625}, {"start": 402.74, "end": 403.02, "word": " is", "probability": 0.79296875}, {"start": 403.02, "end": 403.58, "word": " blue.", "probability": 0.75927734375}], "temperature": 1.0}, {"id": 15, "seek": 43158, "start": 407.88, "end": 431.58, "text": "Picture of the first lens is red because the body of the second lens is two meters away from the lens", "tokens": [47, 985, 540, 295, 264, 700, 6765, 307, 2182, 570, 264, 1772, 295, 264, 1150, 6765, 307, 732, 8146, 1314, 490, 264, 6765], "avg_logprob": -0.5485026215513548, "compression_ratio": 1.3116883116883118, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 407.88, "end": 408.6, "word": "Picture", "probability": 0.6221516927083334}, {"start": 408.6, "end": 408.7, "word": " of", "probability": 0.5888671875}, {"start": 408.7, "end": 408.8, "word": " the", "probability": 0.73388671875}, {"start": 408.8, "end": 409.46, "word": " first", "probability": 0.80908203125}, {"start": 409.46, "end": 409.46, "word": " lens", "probability": 0.64794921875}, {"start": 409.46, "end": 409.74, "word": " is", "probability": 0.2166748046875}, {"start": 409.74, "end": 410.12, "word": " red", "probability": 0.84326171875}, {"start": 410.12, "end": 411.56, "word": " because", "probability": 0.609375}, {"start": 411.56, "end": 416.16, "word": " the", "probability": 0.2548828125}, {"start": 416.16, "end": 419.44, "word": " body", "probability": 0.416259765625}, {"start": 419.44, "end": 419.66, "word": " of", "probability": 0.8935546875}, {"start": 419.66, "end": 419.74, "word": " the", "probability": 0.73486328125}, {"start": 419.74, "end": 420.3, "word": " second", "probability": 0.5927734375}, {"start": 420.3, "end": 421.48, "word": " lens", "probability": 0.9306640625}, {"start": 421.48, "end": 430.06, "word": " is", "probability": 0.6494140625}, {"start": 430.06, "end": 430.42, "word": " two", "probability": 0.52294921875}, {"start": 430.42, "end": 430.66, "word": " meters", "probability": 0.931640625}, {"start": 430.66, "end": 430.8, "word": " away", "probability": 0.69677734375}, {"start": 430.8, "end": 431.12, "word": " from", "probability": 0.88134765625}, {"start": 431.12, "end": 431.22, "word": " the", "probability": 0.8818359375}, {"start": 431.22, "end": 431.58, "word": " lens", "probability": 0.4365234375}], "temperature": 1.0}, {"id": 16, "seek": 44520, "start": 432.5, "end": 445.2, "text": "the second one which is one meter from the first lens and the second meter which is the distance between the two lenses so O meters, O meters, we will start to solve in the following way", "tokens": [3322, 1150, 472, 597, 307, 472, 9255, 490, 264, 700, 6765, 293, 264, 1150, 9255, 597, 307, 264, 4560, 1296, 264, 732, 18059, 370, 422, 8146, 11, 422, 8146, 11, 321, 486, 722, 281, 5039, 294, 264, 3480, 636], "avg_logprob": -0.5800781294703483, "compression_ratio": 1.5897435897435896, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 432.5, "end": 432.88, "word": "the", "probability": 0.1251220703125}, {"start": 432.88, "end": 433.14, "word": " second", "probability": 0.697265625}, {"start": 433.14, "end": 433.24, "word": " one", "probability": 0.319091796875}, {"start": 433.24, "end": 433.52, "word": " which", "probability": 0.4814453125}, {"start": 433.52, "end": 433.62, "word": " is", "probability": 0.923828125}, {"start": 433.62, "end": 433.74, "word": " one", "probability": 0.470947265625}, {"start": 433.74, "end": 434.0, "word": " meter", "probability": 0.91259765625}, {"start": 434.0, "end": 434.82, "word": " from", "probability": 0.5712890625}, {"start": 434.82, "end": 434.92, "word": " the", "probability": 0.8544921875}, {"start": 434.92, "end": 435.56, "word": " first", "probability": 0.791015625}, {"start": 435.56, "end": 435.56, "word": " lens", "probability": 0.51171875}, {"start": 435.56, "end": 436.0, "word": " and", "probability": 0.720703125}, {"start": 436.0, "end": 436.14, "word": " the", "probability": 0.82275390625}, {"start": 436.14, "end": 436.74, "word": " second", "probability": 0.765625}, {"start": 436.74, "end": 436.74, "word": " meter", "probability": 0.3681640625}, {"start": 436.74, "end": 436.9, "word": " which", "probability": 0.73779296875}, {"start": 436.9, "end": 437.02, "word": " is", "probability": 0.92578125}, {"start": 437.02, "end": 437.1, "word": " the", "probability": 0.53271484375}, {"start": 437.1, "end": 437.32, "word": " distance", "probability": 0.89892578125}, {"start": 437.32, "end": 437.54, "word": " between", "probability": 0.87646484375}, {"start": 437.54, "end": 437.66, "word": " the", "probability": 0.57421875}, {"start": 437.66, "end": 438.06, "word": " two", "probability": 0.337646484375}, {"start": 438.06, "end": 438.06, "word": " lenses", "probability": 0.87646484375}, {"start": 438.06, "end": 438.48, "word": " so", "probability": 0.261962890625}, {"start": 438.48, "end": 439.86, "word": " O", "probability": 0.32470703125}, {"start": 439.86, "end": 440.32, "word": " meters,", "probability": 0.29736328125}, {"start": 440.6, "end": 441.02, "word": " O", "probability": 0.64453125}, {"start": 441.02, "end": 441.54, "word": " meters,", "probability": 0.8720703125}, {"start": 441.92, "end": 442.12, "word": " we", "probability": 0.69482421875}, {"start": 442.12, "end": 442.12, "word": " will", "probability": 0.5419921875}, {"start": 442.12, "end": 443.06, "word": " start", "probability": 0.58203125}, {"start": 443.06, "end": 443.24, "word": " to", "probability": 0.478271484375}, {"start": 443.24, "end": 443.56, "word": " solve", "probability": 0.426025390625}, {"start": 443.56, "end": 444.22, "word": " in", "probability": 0.35595703125}, {"start": 444.22, "end": 444.3, "word": " the", "probability": 0.66015625}, {"start": 444.3, "end": 444.3, "word": " following", "probability": 0.78125}, {"start": 444.3, "end": 445.2, "word": " way", "probability": 0.89892578125}], "temperature": 1.0}, {"id": 17, "seek": 50024, "start": 483.16, "end": 500.24, "text": "نقول U تساوي ناقص N على O ويساوي ناقص واحد على مترين على اتنين متر ويساوي ناقص نص ديوبتر", "tokens": [1863, 39648, 624, 6055, 3794, 995, 45865, 8717, 995, 4587, 9381, 426, 15844, 422, 4032, 1829, 3794, 995, 45865, 8717, 995, 4587, 9381, 36764, 24401, 15844, 44650, 2288, 9957, 15844, 1975, 2655, 1863, 9957, 44650, 2288, 4032, 1829, 3794, 995, 45865, 8717, 995, 4587, 9381, 8717, 9381, 11778, 1829, 37746, 2655, 2288], "avg_logprob": -0.17850825584159707, "compression_ratio": 1.648936170212766, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 483.16, "end": 483.56, "word": "نقول", "probability": 0.53271484375}, {"start": 483.56, "end": 483.92, "word": " U", "probability": 0.332275390625}, {"start": 483.92, "end": 484.96, "word": " تساوي", "probability": 0.8912353515625}, {"start": 484.96, "end": 486.26, "word": " ناقص", "probability": 0.8358154296875}, {"start": 486.26, "end": 486.56, "word": " N", "probability": 0.716796875}, {"start": 486.56, "end": 486.84, "word": " على", "probability": 0.697265625}, {"start": 486.84, "end": 487.2, "word": " O", "probability": 0.97265625}, {"start": 487.2, "end": 489.36, "word": " ويساوي", "probability": 0.8681640625}, {"start": 489.36, "end": 490.3, "word": " ناقص", "probability": 0.99072265625}, {"start": 490.3, "end": 490.9, "word": " واحد", "probability": 0.89892578125}, {"start": 490.9, "end": 491.86, "word": " على", "probability": 0.84619140625}, {"start": 491.86, "end": 492.46, "word": " مترين", "probability": 0.90869140625}, {"start": 492.46, "end": 492.98, "word": " على", "probability": 0.5546875}, {"start": 492.98, "end": 493.38, "word": " اتنين", "probability": 0.9451904296875}, {"start": 493.38, "end": 494.24, "word": " متر", "probability": 0.97314453125}, {"start": 494.24, "end": 495.28, "word": " ويساوي", "probability": 0.96943359375}, {"start": 495.28, "end": 497.08, "word": " ناقص", "probability": 0.993408203125}, {"start": 497.08, "end": 498.42, "word": " نص", "probability": 0.992919921875}, {"start": 498.42, "end": 500.24, "word": " ديوبتر", "probability": 0.7545654296875}], "temperature": 1.0}, {"id": 18, "seek": 53021, "start": 501.83, "end": 530.21, "text": "Quickly, I go and put that the light will come from the first image, which is the body of the second lens with a magnitude of minus half diopter minus half diopter I put it on the front surface of the lens Or the light will come out with a magnitude of how much we want to see, we say U", "tokens": [8547, 618, 356, 11, 286, 352, 293, 829, 300, 264, 1442, 486, 808, 490, 264, 700, 3256, 11, 597, 307, 264, 1772, 295, 264, 1150, 6765, 365, 257, 15668, 295, 3175, 1922, 1026, 404, 391, 3175, 1922, 1026, 404, 391, 286, 829, 309, 322, 264, 1868, 3753, 295, 264, 6765, 1610, 264, 1442, 486, 808, 484, 365, 257, 15668, 295, 577, 709, 321, 528, 281, 536, 11, 321, 584, 624], "avg_logprob": -0.4889964763547333, "compression_ratio": 1.7439024390243902, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 501.83, "end": 502.31, "word": "Quickly,", "probability": 0.7011311848958334}, {"start": 502.53, "end": 502.57, "word": " I", "probability": 0.900390625}, {"start": 502.57, "end": 502.85, "word": " go", "probability": 0.114990234375}, {"start": 502.85, "end": 503.05, "word": " and", "probability": 0.697265625}, {"start": 503.05, "end": 503.45, "word": " put", "probability": 0.384765625}, {"start": 503.45, "end": 503.77, "word": " that", "probability": 0.7158203125}, {"start": 503.77, "end": 503.95, "word": " the", "probability": 0.7236328125}, {"start": 503.95, "end": 504.05, "word": " light", "probability": 0.80126953125}, {"start": 504.05, "end": 504.29, "word": " will", "probability": 0.63134765625}, {"start": 504.29, "end": 504.55, "word": " come", "probability": 0.432861328125}, {"start": 504.55, "end": 504.77, "word": " from", "probability": 0.84130859375}, {"start": 504.77, "end": 504.95, "word": " the", "probability": 0.88330078125}, {"start": 504.95, "end": 504.95, "word": " first", "probability": 0.74658203125}, {"start": 504.95, "end": 505.27, "word": " image,", "probability": 0.5185546875}, {"start": 505.97, "end": 506.07, "word": " which", "probability": 0.84375}, {"start": 506.07, "end": 506.31, "word": " is", "probability": 0.9365234375}, {"start": 506.31, "end": 506.41, "word": " the", "probability": 0.87841796875}, {"start": 506.41, "end": 506.61, "word": " body", "probability": 0.53125}, {"start": 506.61, "end": 506.75, "word": " of", "probability": 0.96923828125}, {"start": 506.75, "end": 506.81, "word": " the", "probability": 0.89990234375}, {"start": 506.81, "end": 507.49, "word": " second", "probability": 0.701171875}, {"start": 507.49, "end": 507.49, "word": " lens", "probability": 0.80078125}, {"start": 507.49, "end": 508.21, "word": " with", "probability": 0.369384765625}, {"start": 508.21, "end": 508.35, "word": " a", "probability": 0.525390625}, {"start": 508.35, "end": 508.67, "word": " magnitude", "probability": 0.22509765625}, {"start": 508.67, "end": 509.37, "word": " of", "probability": 0.2340087890625}, {"start": 509.37, "end": 510.53, "word": " minus", "probability": 0.328125}, {"start": 510.53, "end": 511.49, "word": " half", "probability": 0.7744140625}, {"start": 511.49, "end": 512.49, "word": " diopter", "probability": 0.74560546875}, {"start": 512.49, "end": 513.27, "word": " minus", "probability": 0.4384765625}, {"start": 513.27, "end": 513.83, "word": " half", "probability": 0.86083984375}, {"start": 513.83, "end": 515.47, "word": " diopter", "probability": 0.9148763020833334}, {"start": 515.47, "end": 516.45, "word": " I", "probability": 0.30810546875}, {"start": 516.45, "end": 516.67, "word": " put", "probability": 0.8115234375}, {"start": 516.67, "end": 516.77, "word": " it", "probability": 0.84033203125}, {"start": 516.77, "end": 516.85, "word": " on", "probability": 0.9326171875}, {"start": 516.85, "end": 516.97, "word": " the", "probability": 0.92236328125}, {"start": 516.97, "end": 517.47, "word": " front", "probability": 0.85302734375}, {"start": 517.47, "end": 517.73, "word": " surface", "probability": 0.62060546875}, {"start": 517.73, "end": 518.05, "word": " of", "probability": 0.93115234375}, {"start": 518.05, "end": 518.17, "word": " the", "probability": 0.9228515625}, {"start": 518.17, "end": 519.71, "word": " lens", "probability": 0.79345703125}, {"start": 519.71, "end": 525.79, "word": " Or", "probability": 0.11102294921875}, {"start": 525.79, "end": 526.11, "word": " the", "probability": 0.25927734375}, {"start": 526.11, "end": 526.27, "word": " light", "probability": 0.76513671875}, {"start": 526.27, "end": 526.47, "word": " will", "probability": 0.78369140625}, {"start": 526.47, "end": 526.77, "word": " come", "probability": 0.53515625}, {"start": 526.77, "end": 526.83, "word": " out", "probability": 0.55078125}, {"start": 526.83, "end": 526.95, "word": " with", "probability": 0.50830078125}, {"start": 526.95, "end": 527.11, "word": " a", "probability": 0.796875}, {"start": 527.11, "end": 527.35, "word": " magnitude", "probability": 0.8876953125}, {"start": 527.35, "end": 528.07, "word": " of", "probability": 0.397216796875}, {"start": 528.07, "end": 528.43, "word": " how", "probability": 0.468505859375}, {"start": 528.43, "end": 528.73, "word": " much", "probability": 0.68603515625}, {"start": 528.73, "end": 528.79, "word": " we", "probability": 0.39697265625}, {"start": 528.79, "end": 528.99, "word": " want", "probability": 0.5546875}, {"start": 528.99, "end": 529.13, "word": " to", "probability": 0.9638671875}, {"start": 529.13, "end": 529.43, "word": " see,", "probability": 0.89990234375}, {"start": 529.57, "end": 529.67, "word": " we", "probability": 0.77734375}, {"start": 529.67, "end": 529.81, "word": " say", "probability": 0.9169921875}, {"start": 529.81, "end": 530.21, "word": " U", "probability": 0.423583984375}], "temperature": 1.0}, {"id": 19, "seek": 55836, "start": 542.66, "end": 558.36, "text": "Plus one and a half diopter equals V. So V equals plus one diopter.", "tokens": [47, 2781, 82, 472, 293, 257, 1922, 1026, 404, 391, 6915, 691, 13, 407, 691, 6915, 1804, 472, 1026, 404, 391, 13], "avg_logprob": -0.564538053844286, "compression_ratio": 1.1754385964912282, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 542.66, "end": 543.92, "word": "Plus", "probability": 0.4660237630208333}, {"start": 543.92, "end": 544.18, "word": " one", "probability": 0.27685546875}, {"start": 544.18, "end": 544.46, "word": " and", "probability": 0.6806640625}, {"start": 544.46, "end": 544.7, "word": " a", "probability": 0.61376953125}, {"start": 544.7, "end": 544.7, "word": " half", "probability": 0.88427734375}, {"start": 544.7, "end": 545.32, "word": " diopter", "probability": 0.7139485677083334}, {"start": 545.32, "end": 549.66, "word": " equals", "probability": 0.453125}, {"start": 549.66, "end": 550.3, "word": " V.", "probability": 0.58935546875}, {"start": 551.44, "end": 551.44, "word": " So", "probability": 0.5361328125}, {"start": 551.44, "end": 551.84, "word": " V", "probability": 0.59521484375}, {"start": 551.84, "end": 553.68, "word": " equals", "probability": 0.69775390625}, {"start": 553.68, "end": 557.18, "word": " plus", "probability": 0.63720703125}, {"start": 557.18, "end": 557.7, "word": " one", "probability": 0.91162109375}, {"start": 557.7, "end": 558.36, "word": " diopter.", "probability": 0.9168294270833334}], "temperature": 1.0}, {"id": 20, "seek": 57670, "start": 559.12, "end": 576.7, "text": "إذا نضوح هيخروج متجمعا، هيخروج متجمعا بمقدار واحد ديوبتر", "tokens": [28814, 15730, 8717, 11242, 2407, 5016, 39896, 34740, 29245, 44650, 7435, 2304, 3615, 995, 12399, 39896, 34740, 29245, 44650, 7435, 2304, 3615, 995, 4724, 2304, 28543, 9640, 36764, 24401, 11778, 1829, 37746, 2655, 2288], "avg_logprob": -0.2284598239830562, "compression_ratio": 1.368421052631579, "no_speech_prob": 0.0, "words": [{"start": 559.12, "end": 559.44, "word": "إذا", "probability": 0.40350341796875}, {"start": 559.44, "end": 559.82, "word": " نضوح", "probability": 0.780517578125}, {"start": 559.82, "end": 560.4, "word": " هيخروج", "probability": 0.8263346354166666}, {"start": 560.4, "end": 561.5, "word": " متجمعا،", "probability": 0.80145263671875}, {"start": 561.5, "end": 562.16, "word": " هيخروج", "probability": 0.9182942708333334}, {"start": 562.16, "end": 564.1, "word": " متجمعا", "probability": 0.969921875}, {"start": 564.1, "end": 575.52, "word": " بمقدار", "probability": 0.871826171875}, {"start": 575.52, "end": 576.04, "word": " واحد", "probability": 0.88427734375}, {"start": 576.04, "end": 576.7, "word": " ديوبتر", "probability": 0.8369140625}], "temperature": 1.0}, {"id": 21, "seek": 60504, "start": 578.66, "end": 605.04, "text": "put this word from the back of the lens it's like saying that the light will come out of this lens in a group of one diopter in a group that means it will form a real picture the location of this picture we will know now V equals conditional on I then I", "tokens": [2582, 341, 1349, 490, 264, 646, 295, 264, 6765, 309, 311, 411, 1566, 300, 264, 1442, 486, 808, 484, 295, 341, 6765, 294, 257, 1594, 295, 472, 1026, 404, 391, 294, 257, 1594, 300, 1355, 309, 486, 1254, 257, 957, 3036, 264, 4914, 295, 341, 3036, 321, 486, 458, 586, 691, 6915, 27708, 322, 286, 550, 286], "avg_logprob": -0.6627155079923827, "compression_ratio": 1.6428571428571428, "no_speech_prob": 4.8995018005371094e-05, "words": [{"start": 578.66, "end": 579.02, "word": "put", "probability": 0.2109375}, {"start": 579.02, "end": 579.32, "word": " this", "probability": 0.62060546875}, {"start": 579.32, "end": 579.62, "word": " word", "probability": 0.44970703125}, {"start": 579.62, "end": 579.84, "word": " from", "probability": 0.396728515625}, {"start": 579.84, "end": 579.98, "word": " the", "probability": 0.66015625}, {"start": 579.98, "end": 580.52, "word": " back", "probability": 0.59521484375}, {"start": 580.52, "end": 580.62, "word": " of", "probability": 0.52587890625}, {"start": 580.62, "end": 580.88, "word": " the", "probability": 0.80517578125}, {"start": 580.88, "end": 581.16, "word": " lens", "probability": 0.3994140625}, {"start": 581.16, "end": 581.92, "word": " it's", "probability": 0.36077880859375}, {"start": 581.92, "end": 582.1, "word": " like", "probability": 0.70263671875}, {"start": 582.1, "end": 582.58, "word": " saying", "probability": 0.185302734375}, {"start": 582.58, "end": 582.7, "word": " that", "probability": 0.35888671875}, {"start": 582.7, "end": 582.74, "word": " the", "probability": 0.54150390625}, {"start": 582.74, "end": 582.88, "word": " light", "probability": 0.88330078125}, {"start": 582.88, "end": 583.16, "word": " will", "probability": 0.6025390625}, {"start": 583.16, "end": 583.58, "word": " come", "probability": 0.468994140625}, {"start": 583.58, "end": 583.64, "word": " out", "probability": 0.7568359375}, {"start": 583.64, "end": 583.76, "word": " of", "probability": 0.48583984375}, {"start": 583.76, "end": 584.08, "word": " this", "probability": 0.73828125}, {"start": 584.08, "end": 584.62, "word": " lens", "probability": 0.79541015625}, {"start": 584.62, "end": 585.26, "word": " in", "probability": 0.221923828125}, {"start": 585.26, "end": 585.52, "word": " a", "probability": 0.29833984375}, {"start": 585.52, "end": 585.82, "word": " group", "probability": 0.1263427734375}, {"start": 585.82, "end": 586.86, "word": " of", "probability": 0.6796875}, {"start": 586.86, "end": 587.6, "word": " one", "probability": 0.62890625}, {"start": 587.6, "end": 588.3, "word": " diopter", "probability": 0.8097330729166666}, {"start": 588.3, "end": 588.68, "word": " in", "probability": 0.184326171875}, {"start": 588.68, "end": 588.82, "word": " a", "probability": 0.84716796875}, {"start": 588.82, "end": 589.12, "word": " group", "probability": 0.94189453125}, {"start": 589.12, "end": 589.36, "word": " that", "probability": 0.21337890625}, {"start": 589.36, "end": 589.38, "word": " means", "probability": 0.401123046875}, {"start": 589.38, "end": 589.52, "word": " it", "probability": 0.6083984375}, {"start": 589.52, "end": 589.56, "word": " will", "probability": 0.72314453125}, {"start": 589.56, "end": 589.86, "word": " form", "probability": 0.35400390625}, {"start": 589.86, "end": 590.04, "word": " a", "probability": 0.87451171875}, {"start": 590.04, "end": 590.7, "word": " real", "probability": 0.8056640625}, {"start": 590.7, "end": 590.94, "word": " picture", "probability": 0.367431640625}, {"start": 590.94, "end": 591.64, "word": " the", "probability": 0.331298828125}, {"start": 591.64, "end": 591.88, "word": " location", "probability": 0.45947265625}, {"start": 591.88, "end": 592.02, "word": " of", "probability": 0.95556640625}, {"start": 592.02, "end": 592.46, "word": " this", "probability": 0.79443359375}, {"start": 592.46, "end": 592.46, "word": " picture", "probability": 0.76904296875}, {"start": 592.46, "end": 592.72, "word": " we", "probability": 0.492431640625}, {"start": 592.72, "end": 592.72, "word": " will", "probability": 0.6708984375}, {"start": 592.72, "end": 593.02, "word": " know", "probability": 0.67724609375}, {"start": 593.02, "end": 593.72, "word": " now", "probability": 0.83056640625}, {"start": 593.72, "end": 595.26, "word": " V", "probability": 0.277099609375}, {"start": 595.26, "end": 597.02, "word": " equals", "probability": 0.28564453125}, {"start": 597.02, "end": 598.4, "word": " conditional", "probability": 0.1781005859375}, {"start": 598.4, "end": 598.78, "word": " on", "probability": 0.6904296875}, {"start": 598.78, "end": 599.2, "word": " I", "probability": 0.8935546875}, {"start": 599.2, "end": 604.6, "word": " then", "probability": 0.4765625}, {"start": 604.6, "end": 605.04, "word": " I", "probability": 0.9306640625}], "temperature": 1.0}, {"id": 22, "seek": 63063, "start": 607.63, "end": 630.63, "text": "uncertainty on v is equal to one over plus one diopter which is equal to plus one meter so the picture is one meter away from the second lens", "tokens": [409, 66, 1408, 874, 322, 371, 307, 2681, 281, 472, 670, 1804, 472, 1026, 404, 391, 597, 307, 2681, 281, 1804, 472, 9255, 370, 264, 3036, 307, 472, 9255, 1314, 490, 264, 1150, 6765], "avg_logprob": -0.5642857313156128, "compression_ratio": 1.5, "no_speech_prob": 1.1920928955078125e-06, "words": [{"start": 607.63, "end": 608.47, "word": "uncertainty", "probability": 0.5171051025390625}, {"start": 608.47, "end": 608.63, "word": " on", "probability": 0.1607666015625}, {"start": 608.63, "end": 608.97, "word": " v", "probability": 0.298095703125}, {"start": 608.97, "end": 612.43, "word": " is", "probability": 0.340087890625}, {"start": 612.43, "end": 612.79, "word": " equal", "probability": 0.65673828125}, {"start": 612.79, "end": 613.93, "word": " to", "probability": 0.896484375}, {"start": 613.93, "end": 614.29, "word": " one", "probability": 0.3818359375}, {"start": 614.29, "end": 615.09, "word": " over", "probability": 0.50439453125}, {"start": 615.09, "end": 616.27, "word": " plus", "probability": 0.6123046875}, {"start": 616.27, "end": 616.69, "word": " one", "probability": 0.93310546875}, {"start": 616.69, "end": 617.37, "word": " diopter", "probability": 0.6480305989583334}, {"start": 617.37, "end": 619.75, "word": " which", "probability": 0.35009765625}, {"start": 619.75, "end": 619.93, "word": " is", "probability": 0.79833984375}, {"start": 619.93, "end": 620.25, "word": " equal", "probability": 0.650390625}, {"start": 620.25, "end": 620.65, "word": " to", "probability": 0.9658203125}, {"start": 620.65, "end": 621.23, "word": " plus", "probability": 0.6474609375}, {"start": 621.23, "end": 621.73, "word": " one", "probability": 0.93798828125}, {"start": 621.73, "end": 622.05, "word": " meter", "probability": 0.77685546875}, {"start": 622.05, "end": 623.73, "word": " so", "probability": 0.325439453125}, {"start": 623.73, "end": 623.97, "word": " the", "probability": 0.650390625}, {"start": 623.97, "end": 624.13, "word": " picture", "probability": 0.45556640625}, {"start": 624.13, "end": 624.29, "word": " is", "probability": 0.8349609375}, {"start": 624.29, "end": 624.49, "word": " one", "probability": 0.83935546875}, {"start": 624.49, "end": 625.81, "word": " meter", "probability": 0.9228515625}, {"start": 625.81, "end": 625.81, "word": " away", "probability": 0.62109375}, {"start": 625.81, "end": 629.27, "word": " from", "probability": 0.77197265625}, {"start": 629.27, "end": 629.43, "word": " the", "probability": 0.84423828125}, {"start": 629.43, "end": 630.63, "word": " second", "probability": 0.438232421875}, {"start": 630.63, "end": 630.63, "word": " lens", "probability": 0.7314453125}], "temperature": 1.0}, {"id": 23, "seek": 66053, "start": 638.97, "end": 660.53, "text": "transfers magnification number 2 which is Tm2 which is the magnification of the second image with respect to its body we say it is equal to U over V which is equal to U minus half a diopter and V plus one diopter so minus half a diopter", "tokens": [24999, 69, 433, 4944, 3774, 1230, 568, 597, 307, 314, 76, 17, 597, 307, 264, 4944, 3774, 295, 264, 1150, 3256, 365, 3104, 281, 1080, 1772, 321, 584, 309, 307, 2681, 281, 624, 670, 691, 597, 307, 2681, 281, 624, 3175, 1922, 257, 1026, 404, 391, 293, 691, 1804, 472, 1026, 404, 391, 370, 3175, 1922, 257, 1026, 404, 391], "avg_logprob": -0.6239753863850578, "compression_ratio": 1.7352941176470589, "no_speech_prob": 1.2874603271484375e-05, "words": [{"start": 638.9699999999999, "end": 639.67, "word": "transfers", "probability": 0.5050506591796875}, {"start": 639.67, "end": 640.37, "word": " magnification", "probability": 0.85302734375}, {"start": 640.37, "end": 641.31, "word": " number", "probability": 0.0474853515625}, {"start": 641.31, "end": 641.87, "word": " 2", "probability": 0.708984375}, {"start": 641.87, "end": 642.03, "word": " which", "probability": 0.2423095703125}, {"start": 642.03, "end": 642.41, "word": " is", "probability": 0.8466796875}, {"start": 642.41, "end": 643.31, "word": " Tm2", "probability": 0.462646484375}, {"start": 643.31, "end": 643.47, "word": " which", "probability": 0.1595458984375}, {"start": 643.47, "end": 643.49, "word": " is", "probability": 0.88134765625}, {"start": 643.49, "end": 643.57, "word": " the", "probability": 0.4912109375}, {"start": 643.57, "end": 643.71, "word": " magnification", "probability": 0.6495361328125}, {"start": 643.71, "end": 644.21, "word": " of", "probability": 0.830078125}, {"start": 644.21, "end": 644.27, "word": " the", "probability": 0.521484375}, {"start": 644.27, "end": 644.35, "word": " second", "probability": 0.33935546875}, {"start": 644.35, "end": 644.43, "word": " image", "probability": 0.57666015625}, {"start": 644.43, "end": 644.59, "word": " with", "probability": 0.11920166015625}, {"start": 644.59, "end": 644.93, "word": " respect", "probability": 0.89013671875}, {"start": 644.93, "end": 645.25, "word": " to", "probability": 0.96337890625}, {"start": 645.25, "end": 645.43, "word": " its", "probability": 0.448974609375}, {"start": 645.43, "end": 645.81, "word": " body", "probability": 0.46240234375}, {"start": 645.81, "end": 646.77, "word": " we", "probability": 0.20068359375}, {"start": 646.77, "end": 647.13, "word": " say", "probability": 0.453125}, {"start": 647.13, "end": 647.33, "word": " it", "probability": 0.38720703125}, {"start": 647.33, "end": 647.39, "word": " is", "probability": 0.464599609375}, {"start": 647.39, "end": 647.67, "word": " equal", "probability": 0.8134765625}, {"start": 647.67, "end": 647.77, "word": " to", "probability": 0.93115234375}, {"start": 647.77, "end": 647.93, "word": " U", "probability": 0.469482421875}, {"start": 647.93, "end": 648.17, "word": " over", "probability": 0.325439453125}, {"start": 648.17, "end": 648.55, "word": " V", "probability": 0.955078125}, {"start": 648.55, "end": 651.57, "word": " which", "probability": 0.27880859375}, {"start": 651.57, "end": 651.69, "word": " is", "probability": 0.82958984375}, {"start": 651.69, "end": 652.11, "word": " equal", "probability": 0.826171875}, {"start": 652.11, "end": 652.83, "word": " to", "probability": 0.87841796875}, {"start": 652.83, "end": 654.33, "word": " U", "probability": 0.1217041015625}, {"start": 654.33, "end": 654.73, "word": " minus", "probability": 0.89990234375}, {"start": 654.73, "end": 655.05, "word": " half", "probability": 0.51513671875}, {"start": 655.05, "end": 655.15, "word": " a", "probability": 0.164306640625}, {"start": 655.15, "end": 655.59, "word": " diopter", "probability": 0.8639322916666666}, {"start": 655.59, "end": 655.87, "word": " and", "probability": 0.51318359375}, {"start": 655.87, "end": 656.05, "word": " V", "probability": 0.8505859375}, {"start": 656.05, "end": 656.45, "word": " plus", "probability": 0.93505859375}, {"start": 656.45, "end": 656.81, "word": " one", "probability": 0.7314453125}, {"start": 656.81, "end": 657.43, "word": " diopter", "probability": 0.92626953125}, {"start": 657.43, "end": 658.15, "word": " so", "probability": 0.308837890625}, {"start": 658.15, "end": 658.75, "word": " minus", "probability": 0.697265625}, {"start": 658.75, "end": 659.83, "word": " half", "probability": 0.796875}, {"start": 659.83, "end": 660.01, "word": " a", "probability": 0.92529296875}, {"start": 660.01, "end": 660.53, "word": " diopter", "probability": 0.9560546875}], "temperature": 1.0}, {"id": 24, "seek": 68368, "start": 674.26, "end": 683.68, "text": "x-x-x-x-x-x-x-x-x-x-x-x-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y", "tokens": [87, 12, 87, 12, 87, 12, 87, 12, 87, 12, 87, 12, 87, 12, 87, 12, 87, 12, 87, 12, 87, 12, 87, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88, 12, 88], "avg_logprob": -0.10021033983391064, "compression_ratio": 12.9375, "no_speech_prob": 1.1920928955078125e-06, "words": [{"start": 674.2599999999999, "end": 674.3399999999999, "word": "x", "probability": 0.05810546875}, {"start": 674.3399999999999, "end": 674.42, "word": "-x", "probability": 0.283447265625}, {"start": 674.42, "end": 675.36, "word": "-x", "probability": 0.676025390625}, {"start": 675.36, "end": 675.36, "word": "-x", "probability": 0.75537109375}, {"start": 675.36, "end": 675.36, "word": "-x", "probability": 0.79833984375}, {"start": 675.36, "end": 675.36, "word": "-x", "probability": 0.81494140625}, {"start": 675.36, "end": 675.36, "word": "-x", "probability": 0.828369140625}, {"start": 675.36, "end": 675.36, "word": "-x", "probability": 0.834716796875}, {"start": 675.36, "end": 675.36, "word": "-x", "probability": 0.8388671875}, {"start": 675.36, "end": 675.36, "word": "-x", "probability": 0.84130859375}, {"start": 675.36, "end": 675.36, "word": "-x", "probability": 0.842041015625}, {"start": 675.36, "end": 675.36, "word": "-x", "probability": 0.84423828125}, {"start": 675.36, "end": 675.36, "word": "-y", "probability": 0.482757568359375}, {"start": 675.36, "end": 676.72, "word": "-y", "probability": 0.692626953125}, {"start": 676.72, "end": 676.78, "word": "-y", "probability": 0.8017578125}, {"start": 676.78, "end": 676.82, "word": "-y", "probability": 0.84912109375}, {"start": 676.82, "end": 676.88, "word": "-y", "probability": 0.867431640625}, {"start": 676.88, "end": 676.88, "word": "-y", "probability": 0.886474609375}, {"start": 676.88, "end": 676.88, "word": "-y", "probability": 0.902587890625}, {"start": 676.88, "end": 676.88, "word": "-y", "probability": 0.916748046875}, {"start": 676.88, "end": 676.88, "word": "-y", "probability": 0.927001953125}, {"start": 676.88, "end": 676.9, "word": "-y", "probability": 0.936279296875}, {"start": 676.9, "end": 676.9, "word": "-y", "probability": 0.943359375}, {"start": 676.9, "end": 677.0, "word": "-y", "probability": 0.949462890625}, {"start": 677.0, "end": 678.06, "word": "-y", "probability": 0.954833984375}, {"start": 678.06, "end": 679.16, "word": "-y", "probability": 0.959228515625}, {"start": 679.16, "end": 683.24, "word": "-y", "probability": 0.962890625}, {"start": 683.24, "end": 683.24, "word": "-y", "probability": 0.96630859375}, {"start": 683.24, "end": 683.24, "word": "-y", "probability": 0.9697265625}, {"start": 683.24, "end": 683.24, "word": "-y", "probability": 0.97265625}, {"start": 683.24, "end": 683.28, "word": "-y", "probability": 0.974853515625}, {"start": 683.28, "end": 683.28, "word": "-y", "probability": 0.977294921875}, {"start": 683.28, "end": 683.28, "word": "-y", "probability": 0.9794921875}, {"start": 683.28, "end": 683.28, "word": "-y", "probability": 0.981201171875}, {"start": 683.28, "end": 683.28, "word": "-y", "probability": 0.98291015625}, {"start": 683.28, "end": 683.28, "word": "-y", "probability": 0.984375}, {"start": 683.28, "end": 683.28, "word": "-y", "probability": 0.985595703125}, {"start": 683.28, "end": 683.34, "word": "-y", "probability": 0.987060546875}, {"start": 683.34, "end": 683.34, "word": "-y", "probability": 0.98779296875}, {"start": 683.34, "end": 683.34, "word": "-y", "probability": 0.98876953125}, {"start": 683.34, "end": 683.34, "word": "-y", "probability": 0.989990234375}, {"start": 683.34, "end": 683.34, "word": "-y", "probability": 0.990478515625}, {"start": 683.34, "end": 683.38, "word": "-y", "probability": 0.9912109375}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.99169921875}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.9921875}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.99267578125}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.9931640625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.993408203125}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.993896484375}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.994384765625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.99462890625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.994873046875}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.9951171875}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.995361328125}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.995361328125}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.995849609375}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.995849609375}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.99609375}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.996337890625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.996337890625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.99658203125}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.99658203125}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.996826171875}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.996826171875}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.9970703125}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.9970703125}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.9970703125}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.9970703125}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.9970703125}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.99755859375}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.99755859375}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.99755859375}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.99755859375}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.99755859375}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.99755859375}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.99755859375}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.997802734375}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.997802734375}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998046875}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998046875}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998046875}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998046875}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998046875}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998291015625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998291015625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998291015625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998291015625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998291015625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998291015625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998291015625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998291015625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998291015625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998291015625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.998291015625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.99853515625}, {"start": 683.38, "end": 683.38, "word": "-y", "probability": 0.99853515625}, {"start": 683.38, "end": 683.4, "word": "-y", "probability": 0.99853515625}, {"start": 683.4, "end": 683.44, "word": "-y", "probability": 0.998779296875}, {"start": 683.44, "end": 683.48, "word": "-y", "probability": 0.998779296875}, {"start": 683.48, "end": 683.52, "word": "-y", "probability": 0.998779296875}, {"start": 683.52, "end": 683.56, "word": "-y", "probability": 0.998779296875}, {"start": 683.56, "end": 683.6, "word": "-y", "probability": 0.998779296875}, {"start": 683.6, "end": 683.64, "word": "-y", "probability": 0.998779296875}, {"start": 683.64, "end": 683.68, "word": "-y", "probability": 0.998779296875}], "temperature": 1.0}, {"id": 25, "seek": 69574, "start": 690.08, "end": 695.74, "text": "this is tm2, this is tm2, now we want to draw the image at a distance", "tokens": [11176, 307, 256, 76, 17, 11, 341, 307, 256, 76, 17, 11, 586, 321, 528, 281, 2642, 264, 3256, 412, 257, 4560], "avg_logprob": -0.6015625, "compression_ratio": 1.078125, "no_speech_prob": 2.86102294921875e-06, "words": [{"start": 690.08, "end": 690.4, "word": "this", "probability": 0.2001953125}, {"start": 690.4, "end": 690.52, "word": " is", "probability": 0.76904296875}, {"start": 690.52, "end": 691.46, "word": " tm2,", "probability": 0.6417643229166666}, {"start": 691.52, "end": 691.72, "word": " this", "probability": 0.4560546875}, {"start": 691.72, "end": 691.8, "word": " is", "probability": 0.93017578125}, {"start": 691.8, "end": 692.64, "word": " tm2,", "probability": 0.9480794270833334}, {"start": 693.02, "end": 693.26, "word": " now", "probability": 0.80078125}, {"start": 693.26, "end": 693.4, "word": " we", "probability": 0.8623046875}, {"start": 693.4, "end": 693.5, "word": " want", "probability": 0.4189453125}, {"start": 693.5, "end": 693.66, "word": " to", "probability": 0.95458984375}, {"start": 693.66, "end": 693.8, "word": " draw", "probability": 0.8447265625}, {"start": 693.8, "end": 694.76, "word": " the", "probability": 0.603515625}, {"start": 694.76, "end": 695.08, "word": " image", "probability": 0.363037109375}, {"start": 695.08, "end": 695.28, "word": " at", "probability": 0.10198974609375}, {"start": 695.28, "end": 695.4, "word": " a", "probability": 0.67529296875}, {"start": 695.4, "end": 695.74, "word": " distance", "probability": 0.87060546875}], "temperature": 1.0}, {"id": 26, "seek": 72543, "start": 696.55, "end": 725.43, "text": "plus one meter, plus one meter from this lens Okay, let's cancel this temporarily and say, one meter from the second lens, the distance between the second lens and the third lens is fifty centimeters, so the picture of this lens will come here, one meter from the second lens or fifty centimeters from the third lens, from the third lens, a real picture because the V is in the plus sign", "tokens": [18954, 472, 9255, 11, 1804, 472, 9255, 490, 341, 6765, 1033, 11, 718, 311, 10373, 341, 23750, 293, 584, 11, 472, 9255, 490, 264, 1150, 6765, 11, 264, 4560, 1296, 264, 1150, 6765, 293, 264, 2636, 6765, 307, 13442, 23300, 11, 370, 264, 3036, 295, 341, 6765, 486, 808, 510, 11, 472, 9255, 490, 264, 1150, 6765, 420, 13442, 23300, 490, 264, 2636, 6765, 11, 490, 264, 2636, 6765, 11, 257, 957, 3036, 570, 264, 691, 307, 294, 264, 1804, 1465], "avg_logprob": -0.4070122027542533, "compression_ratio": 2.1988636363636362, "no_speech_prob": 1.5556812286376953e-05, "words": [{"start": 696.55, "end": 696.99, "word": "plus", "probability": 0.52197265625}, {"start": 696.99, "end": 697.51, "word": " one", "probability": 0.6826171875}, {"start": 697.51, "end": 697.89, "word": " meter,", "probability": 0.85107421875}, {"start": 697.97, "end": 698.23, "word": " plus", "probability": 0.363525390625}, {"start": 698.23, "end": 699.15, "word": " one", "probability": 0.90673828125}, {"start": 699.15, "end": 699.61, "word": " meter", "probability": 0.8818359375}, {"start": 699.61, "end": 699.79, "word": " from", "probability": 0.59814453125}, {"start": 699.79, "end": 699.91, "word": " this", "probability": 0.70849609375}, {"start": 699.91, "end": 700.35, "word": " lens", "probability": 0.76904296875}, {"start": 700.35, "end": 701.31, "word": " Okay,", "probability": 0.1756591796875}, {"start": 701.63, "end": 701.85, "word": " let's", "probability": 0.74169921875}, {"start": 701.85, "end": 701.97, "word": " cancel", "probability": 0.6044921875}, {"start": 701.97, "end": 702.25, "word": " this", "probability": 0.837890625}, {"start": 702.25, "end": 702.91, "word": " temporarily", "probability": 0.53955078125}, {"start": 702.91, "end": 703.55, "word": " and", "probability": 0.28564453125}, {"start": 703.55, "end": 703.85, "word": " say,", "probability": 0.89794921875}, {"start": 704.37, "end": 704.61, "word": " one", "probability": 0.6396484375}, {"start": 704.61, "end": 705.21, "word": " meter", "probability": 0.94091796875}, {"start": 705.21, "end": 705.35, "word": " from", "probability": 0.6015625}, {"start": 705.35, "end": 705.47, "word": " the", "probability": 0.7978515625}, {"start": 705.47, "end": 706.21, "word": " second", "probability": 0.6826171875}, {"start": 706.21, "end": 706.23, "word": " lens,", "probability": 0.8740234375}, {"start": 706.49, "end": 706.57, "word": " the", "probability": 0.5654296875}, {"start": 706.57, "end": 706.91, "word": " distance", "probability": 0.8994140625}, {"start": 706.91, "end": 707.13, "word": " between", "probability": 0.8203125}, {"start": 707.13, "end": 707.29, "word": " the", "probability": 0.85107421875}, {"start": 707.29, "end": 707.93, "word": " second", "probability": 0.8564453125}, {"start": 707.93, "end": 707.99, "word": " lens", "probability": 0.33935546875}, {"start": 707.99, "end": 708.23, "word": " and", "probability": 0.9296875}, {"start": 708.23, "end": 708.47, "word": " the", "probability": 0.8447265625}, {"start": 708.47, "end": 708.75, "word": " third", "probability": 0.9306640625}, {"start": 708.75, "end": 708.81, "word": " lens", "probability": 0.487548828125}, {"start": 708.81, "end": 708.89, "word": " is", "probability": 0.88623046875}, {"start": 708.89, "end": 709.27, "word": " fifty", "probability": 0.67431640625}, {"start": 709.27, "end": 709.79, "word": " centimeters,", "probability": 0.8271484375}, {"start": 710.31, "end": 710.51, "word": " so", "probability": 0.69482421875}, {"start": 710.51, "end": 710.85, "word": " the", "probability": 0.7939453125}, {"start": 710.85, "end": 711.15, "word": " picture", "probability": 0.404052734375}, {"start": 711.15, "end": 711.43, "word": " of", "probability": 0.8740234375}, {"start": 711.43, "end": 711.61, "word": " this", "probability": 0.8505859375}, {"start": 711.61, "end": 711.99, "word": " lens", "probability": 0.845703125}, {"start": 711.99, "end": 713.09, "word": " will", "probability": 0.5166015625}, {"start": 713.09, "end": 713.49, "word": " come", "probability": 0.6484375}, {"start": 713.49, "end": 713.83, "word": " here,", "probability": 0.75634765625}, {"start": 714.09, "end": 714.39, "word": " one", "probability": 0.8408203125}, {"start": 714.39, "end": 715.95, "word": " meter", "probability": 0.93115234375}, {"start": 715.95, "end": 716.11, "word": " from", "probability": 0.7666015625}, {"start": 716.11, "end": 716.25, "word": " the", "probability": 0.8955078125}, {"start": 716.25, "end": 716.99, "word": " second", "probability": 0.8759765625}, {"start": 716.99, "end": 716.99, "word": " lens", "probability": 0.92138671875}, {"start": 716.99, "end": 717.57, "word": " or", "probability": 0.62548828125}, {"start": 717.57, "end": 718.43, "word": " fifty", "probability": 0.79345703125}, {"start": 718.43, "end": 719.11, "word": " centimeters", "probability": 0.876953125}, {"start": 719.11, "end": 719.29, "word": " from", "probability": 0.779296875}, {"start": 719.29, "end": 719.41, "word": " the", "probability": 0.73486328125}, {"start": 719.41, "end": 721.25, "word": " third", "probability": 0.87353515625}, {"start": 721.25, "end": 721.29, "word": " lens,", "probability": 0.9326171875}, {"start": 721.43, "end": 721.61, "word": " from", "probability": 0.2900390625}, {"start": 721.61, "end": 721.73, "word": " the", "probability": 0.8193359375}, {"start": 721.73, "end": 722.05, "word": " third", "probability": 0.88037109375}, {"start": 722.05, "end": 722.45, "word": " lens,", "probability": 0.94921875}, {"start": 722.97, "end": 723.11, "word": " a", "probability": 0.446533203125}, {"start": 723.11, "end": 723.65, "word": " real", "probability": 0.884765625}, {"start": 723.65, "end": 723.71, "word": " picture", "probability": 0.70947265625}, {"start": 723.71, "end": 724.23, "word": " because", "probability": 0.71484375}, {"start": 724.23, "end": 724.43, "word": " the", "probability": 0.488037109375}, {"start": 724.43, "end": 724.61, "word": " V", "probability": 0.339599609375}, {"start": 724.61, "end": 724.93, "word": " is", "probability": 0.492919921875}, {"start": 724.93, "end": 724.95, "word": " in", "probability": 0.7724609375}, {"start": 724.95, "end": 725.07, "word": " the", "probability": 0.73876953125}, {"start": 725.07, "end": 725.33, "word": " plus", "probability": 0.806640625}, {"start": 725.33, "end": 725.43, "word": " sign", "probability": 0.77392578125}], "temperature": 1.0}, {"id": 27, "seek": 75006, "start": 726.38, "end": 750.06, "text": "So this is the picture of the lens number two or the second picture, a real picture It will be handy in this way, this is one meter away from the lens number two or fifty centimeters away from the lens number three", "tokens": [6455, 341, 307, 264, 3036, 295, 264, 6765, 1230, 732, 420, 264, 1150, 3036, 11, 257, 957, 3036, 467, 486, 312, 13239, 294, 341, 636, 11, 341, 307, 472, 9255, 1314, 490, 264, 6765, 1230, 732, 420, 13442, 23300, 1314, 490, 264, 6765, 1230, 1045], "avg_logprob": -0.4205162920381712, "compression_ratio": 1.7983193277310925, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 726.38, "end": 726.66, "word": "So", "probability": 0.48681640625}, {"start": 726.66, "end": 726.96, "word": " this", "probability": 0.611328125}, {"start": 726.96, "end": 727.08, "word": " is", "probability": 0.662109375}, {"start": 727.08, "end": 727.08, "word": " the", "probability": 0.515625}, {"start": 727.08, "end": 727.28, "word": " picture", "probability": 0.50048828125}, {"start": 727.28, "end": 728.22, "word": " of", "probability": 0.95947265625}, {"start": 728.22, "end": 728.28, "word": " the", "probability": 0.634765625}, {"start": 728.28, "end": 728.68, "word": " lens", "probability": 0.2607421875}, {"start": 728.68, "end": 729.84, "word": " number", "probability": 0.69970703125}, {"start": 729.84, "end": 734.28, "word": " two", "probability": 0.53466796875}, {"start": 734.28, "end": 734.64, "word": " or", "probability": 0.67138671875}, {"start": 734.64, "end": 735.1, "word": " the", "probability": 0.6689453125}, {"start": 735.1, "end": 735.38, "word": " second", "probability": 0.75048828125}, {"start": 735.38, "end": 735.96, "word": " picture,", "probability": 0.69921875}, {"start": 736.68, "end": 736.9, "word": " a", "probability": 0.369384765625}, {"start": 736.9, "end": 737.4, "word": " real", "probability": 0.908203125}, {"start": 737.4, "end": 737.78, "word": " picture", "probability": 0.76953125}, {"start": 737.78, "end": 739.98, "word": " It", "probability": 0.372802734375}, {"start": 739.98, "end": 740.16, "word": " will", "probability": 0.62158203125}, {"start": 740.16, "end": 740.38, "word": " be", "probability": 0.9208984375}, {"start": 740.38, "end": 740.66, "word": " handy", "probability": 0.8173828125}, {"start": 740.66, "end": 740.8, "word": " in", "probability": 0.3779296875}, {"start": 740.8, "end": 741.2, "word": " this", "probability": 0.90283203125}, {"start": 741.2, "end": 741.2, "word": " way,", "probability": 0.85595703125}, {"start": 741.3, "end": 741.54, "word": " this", "probability": 0.436279296875}, {"start": 741.54, "end": 741.62, "word": " is", "probability": 0.64892578125}, {"start": 741.62, "end": 741.84, "word": " one", "probability": 0.56298828125}, {"start": 741.84, "end": 742.72, "word": " meter", "probability": 0.90234375}, {"start": 742.72, "end": 742.72, "word": " away", "probability": 0.482177734375}, {"start": 742.72, "end": 743.42, "word": " from", "probability": 0.87744140625}, {"start": 743.42, "end": 743.52, "word": " the", "probability": 0.5380859375}, {"start": 743.52, "end": 743.96, "word": " lens", "probability": 0.66162109375}, {"start": 743.96, "end": 745.12, "word": " number", "probability": 0.89501953125}, {"start": 745.12, "end": 745.56, "word": " two", "probability": 0.90283203125}, {"start": 745.56, "end": 745.84, "word": " or", "probability": 0.78955078125}, {"start": 745.84, "end": 746.46, "word": " fifty", "probability": 0.460205078125}, {"start": 746.46, "end": 747.18, "word": " centimeters", "probability": 0.7431640625}, {"start": 747.18, "end": 747.18, "word": " away", "probability": 0.6953125}, {"start": 747.18, "end": 747.78, "word": " from", "probability": 0.8974609375}, {"start": 747.78, "end": 747.9, "word": " the", "probability": 0.7626953125}, {"start": 747.9, "end": 748.28, "word": " lens", "probability": 0.9140625}, {"start": 748.28, "end": 748.8, "word": " number", "probability": 0.94140625}, {"start": 748.8, "end": 750.06, "word": " three", "probability": 0.94287109375}], "temperature": 1.0}, {"id": 28, "seek": 77642, "start": 756.3, "end": 776.42, "text": "Fifty centimeters and fifty centimeters is one meter. So from here to here is one meter. Of course this lens number or sorry this picture number two will be considered a body of the third lens, will be considered a body of the third lens, but a virtual body, a virtual body", "tokens": [37, 37177, 23300, 293, 13442, 23300, 307, 472, 9255, 13, 407, 490, 510, 281, 510, 307, 472, 9255, 13, 2720, 1164, 341, 6765, 1230, 420, 2597, 341, 3036, 1230, 732, 486, 312, 4888, 257, 1772, 295, 264, 2636, 6765, 11, 486, 312, 4888, 257, 1772, 295, 264, 2636, 6765, 11, 457, 257, 6374, 1772, 11, 257, 6374, 1772], "avg_logprob": -0.44253177764052054, "compression_ratio": 1.95, "no_speech_prob": 2.7477741241455078e-05, "words": [{"start": 756.3, "end": 756.76, "word": "Fifty", "probability": 0.5804443359375}, {"start": 756.76, "end": 757.12, "word": " centimeters", "probability": 0.77197265625}, {"start": 757.12, "end": 757.24, "word": " and", "probability": 0.69091796875}, {"start": 757.24, "end": 757.52, "word": " fifty", "probability": 0.90869140625}, {"start": 757.52, "end": 757.92, "word": " centimeters", "probability": 0.9228515625}, {"start": 757.92, "end": 758.1, "word": " is", "probability": 0.1658935546875}, {"start": 758.1, "end": 758.26, "word": " one", "probability": 0.400634765625}, {"start": 758.26, "end": 758.64, "word": " meter.", "probability": 0.92041015625}, {"start": 760.92, "end": 761.48, "word": " So", "probability": 0.25634765625}, {"start": 761.48, "end": 761.64, "word": " from", "probability": 0.634765625}, {"start": 761.64, "end": 761.86, "word": " here", "probability": 0.82373046875}, {"start": 761.86, "end": 762.0, "word": " to", "probability": 0.94970703125}, {"start": 762.0, "end": 762.28, "word": " here", "probability": 0.66162109375}, {"start": 762.28, "end": 762.42, "word": " is", "probability": 0.51953125}, {"start": 762.42, "end": 762.66, "word": " one", "probability": 0.74609375}, {"start": 762.66, "end": 762.9, "word": " meter.", "probability": 0.9345703125}, {"start": 763.26, "end": 763.34, "word": " Of", "probability": 0.62353515625}, {"start": 763.34, "end": 763.44, "word": " course", "probability": 0.94775390625}, {"start": 763.44, "end": 763.82, "word": " this", "probability": 0.54052734375}, {"start": 763.82, "end": 764.18, "word": " lens", "probability": 0.50244140625}, {"start": 764.18, "end": 764.52, "word": " number", "probability": 0.6357421875}, {"start": 764.52, "end": 765.76, "word": " or", "probability": 0.26416015625}, {"start": 765.76, "end": 766.04, "word": " sorry", "probability": 0.31884765625}, {"start": 766.04, "end": 766.44, "word": " this", "probability": 0.69921875}, {"start": 766.44, "end": 766.7, "word": " picture", "probability": 0.61474609375}, {"start": 766.7, "end": 766.98, "word": " number", "probability": 0.873046875}, {"start": 766.98, "end": 767.52, "word": " two", "probability": 0.7548828125}, {"start": 767.52, "end": 768.02, "word": " will", "probability": 0.587890625}, {"start": 768.02, "end": 768.2, "word": " be", "probability": 0.849609375}, {"start": 768.2, "end": 768.6, "word": " considered", "probability": 0.681640625}, {"start": 768.6, "end": 768.66, "word": " a", "probability": 0.291015625}, {"start": 768.66, "end": 768.86, "word": " body", "probability": 0.61572265625}, {"start": 768.86, "end": 769.04, "word": " of", "probability": 0.44873046875}, {"start": 769.04, "end": 769.14, "word": " the", "probability": 0.7978515625}, {"start": 769.14, "end": 770.64, "word": " third", "probability": 0.8603515625}, {"start": 770.64, "end": 770.64, "word": " lens,", "probability": 0.83154296875}, {"start": 770.76, "end": 770.88, "word": " will", "probability": 0.55224609375}, {"start": 770.88, "end": 771.04, "word": " be", "probability": 0.94482421875}, {"start": 771.04, "end": 771.36, "word": " considered", "probability": 0.71728515625}, {"start": 771.36, "end": 771.56, "word": " a", "probability": 0.91796875}, {"start": 771.56, "end": 771.88, "word": " body", "probability": 0.83349609375}, {"start": 771.88, "end": 772.36, "word": " of", "probability": 0.93994140625}, {"start": 772.36, "end": 772.5, "word": " the", "probability": 0.89599609375}, {"start": 772.5, "end": 773.5, "word": " third", "probability": 0.92626953125}, {"start": 773.5, "end": 773.5, "word": " lens,", "probability": 0.9033203125}, {"start": 774.08, "end": 774.3, "word": " but", "probability": 0.931640625}, {"start": 774.3, "end": 774.58, "word": " a", "probability": 0.849609375}, {"start": 774.58, "end": 775.38, "word": " virtual", "probability": 0.7919921875}, {"start": 775.38, "end": 775.56, "word": " body,", "probability": 0.82080078125}, {"start": 775.7, "end": 775.82, "word": " a", "probability": 0.548828125}, {"start": 775.82, "end": 776.42, "word": " virtual", "probability": 0.91259765625}, {"start": 776.42, "end": 776.42, "word": " body", "probability": 0.845703125}], "temperature": 1.0}, {"id": 29, "seek": 78870, "start": 783.72, "end": 788.7, "text": "I will draw him in a high position, so he can be seen, and we want to put him here", "tokens": [40, 486, 2642, 796, 294, 257, 1090, 2535, 11, 370, 415, 393, 312, 1612, 11, 293, 321, 528, 281, 829, 796, 510], "avg_logprob": -0.8192934523458066, "compression_ratio": 1.0789473684210527, "no_speech_prob": 0.0, "words": [{"start": 783.72, "end": 784.12, "word": "I", "probability": 0.384033203125}, {"start": 784.12, "end": 784.18, "word": " will", "probability": 0.35888671875}, {"start": 784.18, "end": 784.34, "word": " draw", "probability": 0.732421875}, {"start": 784.34, "end": 784.58, "word": " him", "probability": 0.27978515625}, {"start": 784.58, "end": 784.58, "word": " in", "probability": 0.242431640625}, {"start": 784.58, "end": 785.38, "word": " a", "probability": 0.77685546875}, {"start": 785.38, "end": 785.56, "word": " high", "probability": 0.227783203125}, {"start": 785.56, "end": 785.86, "word": " position,", "probability": 0.50390625}, {"start": 786.26, "end": 786.36, "word": " so", "probability": 0.4130859375}, {"start": 786.36, "end": 786.6, "word": " he", "probability": 0.36328125}, {"start": 786.6, "end": 786.74, "word": " can", "probability": 0.2626953125}, {"start": 786.74, "end": 786.8, "word": " be", "probability": 0.62109375}, {"start": 786.8, "end": 787.08, "word": " seen,", "probability": 0.7314453125}, {"start": 787.36, "end": 787.7, "word": " and", "probability": 0.689453125}, {"start": 787.7, "end": 787.78, "word": " we", "probability": 0.41845703125}, {"start": 787.78, "end": 787.94, "word": " want", "probability": 0.205810546875}, {"start": 787.94, "end": 788.1, "word": " to", "probability": 0.9580078125}, {"start": 788.1, "end": 788.24, "word": " put", "probability": 0.401611328125}, {"start": 788.24, "end": 788.5, "word": " him", "probability": 0.77099609375}, {"start": 788.5, "end": 788.7, "word": " here", "probability": 0.7578125}], "temperature": 1.0}, {"id": 30, "seek": 82289, "start": 801.07, "end": 822.89, "text": "to get closer to the color of the lens. So this is the body of the lens. This is a virtual object. Why virtual object? Because the light will not reach to form it and then come back and rotate and come back. No. The light will hit the surface of the lens number three and it is coming from the lens number two and it is in a state of conversion.", "tokens": [1353, 483, 4966, 281, 264, 2017, 295, 264, 6765, 13, 407, 341, 307, 264, 1772, 295, 264, 6765, 13, 639, 307, 257, 6374, 2657, 13, 1545, 6374, 2657, 30, 1436, 264, 1442, 486, 406, 2524, 281, 1254, 309, 293, 550, 808, 646, 293, 13121, 293, 808, 646, 13, 883, 13, 440, 1442, 486, 2045, 264, 3753, 295, 264, 6765, 1230, 1045, 293, 309, 307, 1348, 490, 264, 6765, 1230, 732, 293, 309, 307, 294, 257, 1785, 295, 14298, 13], "avg_logprob": -0.43281249329447746, "compression_ratio": 1.8253968253968254, "no_speech_prob": 1.9073486328125e-05, "words": [{"start": 801.07, "end": 801.55, "word": "to", "probability": 0.309814453125}, {"start": 801.55, "end": 801.73, "word": " get", "probability": 0.55517578125}, {"start": 801.73, "end": 802.03, "word": " closer", "probability": 0.62060546875}, {"start": 802.03, "end": 802.43, "word": " to", "probability": 0.822265625}, {"start": 802.43, "end": 802.67, "word": " the", "probability": 0.833984375}, {"start": 802.67, "end": 802.87, "word": " color", "probability": 0.441162109375}, {"start": 802.87, "end": 803.17, "word": " of", "probability": 0.962890625}, {"start": 803.17, "end": 803.17, "word": " the", "probability": 0.89013671875}, {"start": 803.17, "end": 803.41, "word": " lens.", "probability": 0.7490234375}, {"start": 803.83, "end": 804.11, "word": " So", "probability": 0.658203125}, {"start": 804.11, "end": 804.43, "word": " this", "probability": 0.59716796875}, {"start": 804.43, "end": 804.61, "word": " is", "probability": 0.92822265625}, {"start": 804.61, "end": 804.75, "word": " the", "probability": 0.86474609375}, {"start": 804.75, "end": 804.99, "word": " body", "probability": 0.4560546875}, {"start": 804.99, "end": 805.27, "word": " of", "probability": 0.9677734375}, {"start": 805.27, "end": 805.45, "word": " the", "probability": 0.8994140625}, {"start": 805.45, "end": 805.65, "word": " lens.", "probability": 0.8671875}, {"start": 805.77, "end": 805.89, "word": " This", "probability": 0.71630859375}, {"start": 805.89, "end": 805.99, "word": " is", "probability": 0.94580078125}, {"start": 805.99, "end": 806.03, "word": " a", "probability": 0.609375}, {"start": 806.03, "end": 806.35, "word": " virtual", "probability": 0.90478515625}, {"start": 806.35, "end": 807.09, "word": " object.", "probability": 0.9814453125}, {"start": 807.55, "end": 807.79, "word": " Why", "probability": 0.88330078125}, {"start": 807.79, "end": 808.17, "word": " virtual", "probability": 0.5771484375}, {"start": 808.17, "end": 808.85, "word": " object?", "probability": 0.9765625}, {"start": 809.17, "end": 809.49, "word": " Because", "probability": 0.916015625}, {"start": 809.49, "end": 809.69, "word": " the", "probability": 0.54296875}, {"start": 809.69, "end": 809.83, "word": " light", "probability": 0.9013671875}, {"start": 809.83, "end": 810.21, "word": " will", "probability": 0.472900390625}, {"start": 810.21, "end": 810.31, "word": " not", "probability": 0.93359375}, {"start": 810.31, "end": 810.59, "word": " reach", "probability": 0.55322265625}, {"start": 810.59, "end": 810.89, "word": " to", "probability": 0.62255859375}, {"start": 810.89, "end": 811.31, "word": " form", "probability": 0.43359375}, {"start": 811.31, "end": 811.57, "word": " it", "probability": 0.310791015625}, {"start": 811.57, "end": 812.03, "word": " and", "probability": 0.638671875}, {"start": 812.03, "end": 812.57, "word": " then", "probability": 0.74755859375}, {"start": 812.57, "end": 812.93, "word": " come", "probability": 0.441650390625}, {"start": 812.93, "end": 813.37, "word": " back", "probability": 0.54443359375}, {"start": 813.37, "end": 813.61, "word": " and", "probability": 0.2220458984375}, {"start": 813.61, "end": 814.23, "word": " rotate", "probability": 0.1640625}, {"start": 814.23, "end": 814.39, "word": " and", "probability": 0.426513671875}, {"start": 814.39, "end": 814.63, "word": " come", "probability": 0.448974609375}, {"start": 814.63, "end": 814.77, "word": " back.", "probability": 0.8583984375}, {"start": 814.87, "end": 814.95, "word": " No.", "probability": 0.7685546875}, {"start": 815.13, "end": 815.61, "word": " The", "probability": 0.748046875}, {"start": 815.61, "end": 815.87, "word": " light", "probability": 0.87353515625}, {"start": 815.87, "end": 816.11, "word": " will", "probability": 0.8125}, {"start": 816.11, "end": 816.43, "word": " hit", "probability": 0.6259765625}, {"start": 816.43, "end": 816.63, "word": " the", "probability": 0.759765625}, {"start": 816.63, "end": 816.87, "word": " surface", "probability": 0.5791015625}, {"start": 816.87, "end": 816.99, "word": " of", "probability": 0.9697265625}, {"start": 816.99, "end": 817.07, "word": " the", "probability": 0.86572265625}, {"start": 817.07, "end": 817.45, "word": " lens", "probability": 0.74755859375}, {"start": 817.45, "end": 818.35, "word": " number", "probability": 0.60009765625}, {"start": 818.35, "end": 818.93, "word": " three", "probability": 0.5517578125}, {"start": 818.93, "end": 819.65, "word": " and", "probability": 0.2109375}, {"start": 819.65, "end": 819.81, "word": " it", "probability": 0.56689453125}, {"start": 819.81, "end": 819.89, "word": " is", "probability": 0.297607421875}, {"start": 819.89, "end": 820.27, "word": " coming", "probability": 0.77001953125}, {"start": 820.27, "end": 820.55, "word": " from", "probability": 0.865234375}, {"start": 820.55, "end": 820.67, "word": " the", "probability": 0.685546875}, {"start": 820.67, "end": 820.91, "word": " lens", "probability": 0.6396484375}, {"start": 820.91, "end": 821.19, "word": " number", "probability": 0.91259765625}, {"start": 821.19, "end": 821.55, "word": " two", "probability": 0.93505859375}, {"start": 821.55, "end": 821.71, "word": " and", "probability": 0.75244140625}, {"start": 821.71, "end": 821.81, "word": " it", "probability": 0.9248046875}, {"start": 821.81, "end": 821.87, "word": " is", "probability": 0.9052734375}, {"start": 821.87, "end": 821.99, "word": " in", "probability": 0.8603515625}, {"start": 821.99, "end": 822.11, "word": " a", "probability": 0.6279296875}, {"start": 822.11, "end": 822.27, "word": " state", "probability": 0.634765625}, {"start": 822.27, "end": 822.39, "word": " of", "probability": 0.970703125}, {"start": 822.39, "end": 822.89, "word": " conversion.", "probability": 0.84326171875}], "temperature": 1.0}, {"id": 31, "seek": 85293, "start": 825.15, "end": 852.93, "text": "which is in case of convergence, of course the light that comes out of a real body is always divergent from a real body, whether it is really real or a picture that is considered the body of the next lens, so in case of light hitting the front surface of the lens and it is convergent, it means the body is virtual, the body is virtual and therefore we deal with it as a virtual object", "tokens": [13690, 307, 294, 1389, 295, 32181, 11, 295, 1164, 264, 1442, 300, 1487, 484, 295, 257, 957, 1772, 307, 1009, 18558, 6930, 490, 257, 957, 1772, 11, 1968, 309, 307, 534, 957, 420, 257, 3036, 300, 307, 4888, 264, 1772, 295, 264, 958, 6765, 11, 370, 294, 1389, 295, 1442, 8850, 264, 1868, 3753, 295, 264, 6765, 293, 309, 307, 9652, 6930, 11, 309, 1355, 264, 1772, 307, 6374, 11, 264, 1772, 307, 6374, 293, 4412, 321, 2028, 365, 309, 382, 257, 6374, 2657], "avg_logprob": -0.4312500042073867, "compression_ratio": 1.9059405940594059, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 825.15, "end": 825.39, "word": "which", "probability": 0.09075927734375}, {"start": 825.39, "end": 825.49, "word": " is", "probability": 0.57373046875}, {"start": 825.49, "end": 825.59, "word": " in", "probability": 0.71044921875}, {"start": 825.59, "end": 825.81, "word": " case", "probability": 0.5595703125}, {"start": 825.81, "end": 825.93, "word": " of", "probability": 0.96484375}, {"start": 825.93, "end": 826.53, "word": " convergence,", "probability": 0.92626953125}, {"start": 827.11, "end": 827.35, "word": " of", "probability": 0.671875}, {"start": 827.35, "end": 827.53, "word": " course", "probability": 0.95947265625}, {"start": 827.53, "end": 829.15, "word": " the", "probability": 0.5185546875}, {"start": 829.15, "end": 829.43, "word": " light", "probability": 0.7646484375}, {"start": 829.43, "end": 829.67, "word": " that", "probability": 0.375732421875}, {"start": 829.67, "end": 829.91, "word": " comes", "probability": 0.498046875}, {"start": 829.91, "end": 830.13, "word": " out", "probability": 0.46337890625}, {"start": 830.13, "end": 830.29, "word": " of", "probability": 0.8056640625}, {"start": 830.29, "end": 830.71, "word": " a", "probability": 0.8330078125}, {"start": 830.71, "end": 830.95, "word": " real", "probability": 0.904296875}, {"start": 830.95, "end": 831.19, "word": " body", "probability": 0.6298828125}, {"start": 831.19, "end": 831.33, "word": " is", "probability": 0.8916015625}, {"start": 831.33, "end": 831.67, "word": " always", "probability": 0.90771484375}, {"start": 831.67, "end": 832.73, "word": " divergent", "probability": 0.89013671875}, {"start": 832.73, "end": 833.17, "word": " from", "probability": 0.48681640625}, {"start": 833.17, "end": 833.29, "word": " a", "probability": 0.91357421875}, {"start": 833.29, "end": 833.71, "word": " real", "probability": 0.93017578125}, {"start": 833.71, "end": 833.93, "word": " body,", "probability": 0.802734375}, {"start": 834.03, "end": 834.15, "word": " whether", "probability": 0.78564453125}, {"start": 834.15, "end": 834.27, "word": " it", "probability": 0.65673828125}, {"start": 834.27, "end": 834.29, "word": " is", "probability": 0.60302734375}, {"start": 834.29, "end": 834.65, "word": " really", "probability": 0.484619140625}, {"start": 834.65, "end": 835.07, "word": " real", "probability": 0.583984375}, {"start": 835.07, "end": 835.37, "word": " or", "probability": 0.85009765625}, {"start": 835.37, "end": 835.53, "word": " a", "probability": 0.759765625}, {"start": 835.53, "end": 835.77, "word": " picture", "probability": 0.517578125}, {"start": 835.77, "end": 835.97, "word": " that", "probability": 0.257080078125}, {"start": 835.97, "end": 836.05, "word": " is", "probability": 0.76416015625}, {"start": 836.05, "end": 836.39, "word": " considered", "probability": 0.7216796875}, {"start": 836.39, "end": 836.57, "word": " the", "probability": 0.258544921875}, {"start": 836.57, "end": 836.81, "word": " body", "probability": 0.8017578125}, {"start": 836.81, "end": 837.39, "word": " of", "probability": 0.89013671875}, {"start": 837.39, "end": 837.49, "word": " the", "probability": 0.8935546875}, {"start": 837.49, "end": 838.25, "word": " next", "probability": 0.72119140625}, {"start": 838.25, "end": 838.29, "word": " lens,", "probability": 0.78662109375}, {"start": 838.71, "end": 839.03, "word": " so", "probability": 0.458740234375}, {"start": 839.03, "end": 840.13, "word": " in", "probability": 0.51904296875}, {"start": 840.13, "end": 840.45, "word": " case", "probability": 0.7685546875}, {"start": 840.45, "end": 840.83, "word": " of", "probability": 0.544921875}, {"start": 840.83, "end": 841.33, "word": " light", "probability": 0.367919921875}, {"start": 841.33, "end": 841.73, "word": " hitting", "probability": 0.105712890625}, {"start": 841.73, "end": 841.97, "word": " the", "probability": 0.8115234375}, {"start": 841.97, "end": 842.57, "word": " front", "probability": 0.75244140625}, {"start": 842.57, "end": 842.63, "word": " surface", "probability": 0.53369140625}, {"start": 842.63, "end": 842.79, "word": " of", "probability": 0.96435546875}, {"start": 842.79, "end": 842.89, "word": " the", "probability": 0.9033203125}, {"start": 842.89, "end": 843.19, "word": " lens", "probability": 0.72900390625}, {"start": 843.19, "end": 843.37, "word": " and", "probability": 0.279541015625}, {"start": 843.37, "end": 843.53, "word": " it", "probability": 0.77197265625}, {"start": 843.53, "end": 843.55, "word": " is", "probability": 0.83251953125}, {"start": 843.55, "end": 844.37, "word": " convergent,", "probability": 0.916015625}, {"start": 844.53, "end": 844.53, "word": " it", "probability": 0.3818359375}, {"start": 844.53, "end": 844.75, "word": " means", "probability": 0.9208984375}, {"start": 844.75, "end": 844.95, "word": " the", "probability": 0.51806640625}, {"start": 844.95, "end": 845.19, "word": " body", "probability": 0.71533203125}, {"start": 845.19, "end": 845.37, "word": " is", "probability": 0.9462890625}, {"start": 845.37, "end": 845.81, "word": " virtual,", "probability": 0.8984375}, {"start": 845.99, "end": 846.15, "word": " the", "probability": 0.765625}, {"start": 846.15, "end": 846.41, "word": " body", "probability": 0.8330078125}, {"start": 846.41, "end": 847.31, "word": " is", "probability": 0.93896484375}, {"start": 847.31, "end": 847.73, "word": " virtual", "probability": 0.9248046875}, {"start": 847.73, "end": 848.01, "word": " and", "probability": 0.5087890625}, {"start": 848.01, "end": 848.49, "word": " therefore", "probability": 0.493896484375}, {"start": 848.49, "end": 850.57, "word": " we", "probability": 0.67236328125}, {"start": 850.57, "end": 850.93, "word": " deal", "probability": 0.67236328125}, {"start": 850.93, "end": 851.15, "word": " with", "probability": 0.89990234375}, {"start": 851.15, "end": 851.33, "word": " it", "probability": 0.912109375}, {"start": 851.33, "end": 851.55, "word": " as", "probability": 0.85693359375}, {"start": 851.55, "end": 851.79, "word": " a", "probability": 0.7587890625}, {"start": 851.79, "end": 852.09, "word": " virtual", "probability": 0.92138671875}, {"start": 852.09, "end": 852.93, "word": " object", "probability": 0.9765625}], "temperature": 1.0}, {"id": 32, "seek": 88260, "start": 856.22, "end": 882.6, "text": "The light will clash with the front surface of the lens, which is convergent if I have a virtual object coming from the other side, that is, the light will clash with the lens before it forms this image Before it forms this image, we now want to deal with the third lens alone We want to copy this square that helps us in mapping", "tokens": [2278, 1442, 486, 36508, 365, 264, 1868, 3753, 295, 264, 6765, 11, 597, 307, 9652, 6930, 498, 286, 362, 257, 6374, 2657, 1348, 490, 264, 661, 1252, 11, 300, 307, 11, 264, 1442, 486, 36508, 365, 264, 6765, 949, 309, 6422, 341, 3256, 4546, 309, 6422, 341, 3256, 11, 321, 586, 528, 281, 2028, 365, 264, 2636, 6765, 3312, 492, 528, 281, 5055, 341, 3732, 300, 3665, 505, 294, 18350], "avg_logprob": -0.4091109062584353, "compression_ratio": 1.7593582887700534, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 856.22, "end": 856.5, "word": "The", "probability": 0.259521484375}, {"start": 856.5, "end": 856.68, "word": " light", "probability": 0.8056640625}, {"start": 856.68, "end": 856.92, "word": " will", "probability": 0.69482421875}, {"start": 856.92, "end": 857.28, "word": " clash", "probability": 0.223388671875}, {"start": 857.28, "end": 857.46, "word": " with", "probability": 0.52197265625}, {"start": 857.46, "end": 857.54, "word": " the", "probability": 0.81201171875}, {"start": 857.54, "end": 858.08, "word": " front", "probability": 0.56103515625}, {"start": 858.08, "end": 858.16, "word": " surface", "probability": 0.382568359375}, {"start": 858.16, "end": 858.32, "word": " of", "probability": 0.9169921875}, {"start": 858.32, "end": 858.42, "word": " the", "probability": 0.90234375}, {"start": 858.42, "end": 858.68, "word": " lens,", "probability": 0.5751953125}, {"start": 858.84, "end": 858.92, "word": " which", "probability": 0.560546875}, {"start": 858.92, "end": 859.76, "word": " is", "probability": 0.90380859375}, {"start": 859.76, "end": 862.12, "word": " convergent", "probability": 0.826904296875}, {"start": 862.12, "end": 862.28, "word": " if", "probability": 0.18017578125}, {"start": 862.28, "end": 862.64, "word": " I", "probability": 0.6923828125}, {"start": 862.64, "end": 862.74, "word": " have", "probability": 0.92333984375}, {"start": 862.74, "end": 862.9, "word": " a", "probability": 0.9228515625}, {"start": 862.9, "end": 863.24, "word": " virtual", "probability": 0.85595703125}, {"start": 863.24, "end": 864.0, "word": " object", "probability": 0.96875}, {"start": 864.0, "end": 864.64, "word": " coming", "probability": 0.28759765625}, {"start": 864.64, "end": 864.8, "word": " from", "probability": 0.8173828125}, {"start": 864.8, "end": 865.26, "word": " the", "probability": 0.81640625}, {"start": 865.26, "end": 865.48, "word": " other", "probability": 0.671875}, {"start": 865.48, "end": 865.5, "word": " side,", "probability": 0.79150390625}, {"start": 865.64, "end": 865.76, "word": " that", "probability": 0.2666015625}, {"start": 865.76, "end": 865.78, "word": " is,", "probability": 0.5791015625}, {"start": 865.82, "end": 865.86, "word": " the", "probability": 0.7822265625}, {"start": 865.86, "end": 865.98, "word": " light", "probability": 0.88916015625}, {"start": 865.98, "end": 866.22, "word": " will", "probability": 0.830078125}, {"start": 866.22, "end": 866.72, "word": " clash", "probability": 0.79736328125}, {"start": 866.72, "end": 868.46, "word": " with", "probability": 0.67578125}, {"start": 868.46, "end": 868.6, "word": " the", "probability": 0.90625}, {"start": 868.6, "end": 868.96, "word": " lens", "probability": 0.77587890625}, {"start": 868.96, "end": 869.84, "word": " before", "probability": 0.83935546875}, {"start": 869.84, "end": 870.08, "word": " it", "probability": 0.43603515625}, {"start": 870.08, "end": 870.48, "word": " forms", "probability": 0.6962890625}, {"start": 870.48, "end": 871.3, "word": " this", "probability": 0.88427734375}, {"start": 871.3, "end": 871.9, "word": " image", "probability": 0.59814453125}, {"start": 871.9, "end": 872.14, "word": " Before", "probability": 0.313720703125}, {"start": 872.14, "end": 872.36, "word": " it", "probability": 0.5810546875}, {"start": 872.36, "end": 872.6, "word": " forms", "probability": 0.87060546875}, {"start": 872.6, "end": 872.92, "word": " this", "probability": 0.9326171875}, {"start": 872.92, "end": 873.2, "word": " image,", "probability": 0.83544921875}, {"start": 873.36, "end": 873.54, "word": " we", "probability": 0.59814453125}, {"start": 873.54, "end": 873.8, "word": " now", "probability": 0.65234375}, {"start": 873.8, "end": 874.08, "word": " want", "probability": 0.47412109375}, {"start": 874.08, "end": 874.84, "word": " to", "probability": 0.9716796875}, {"start": 874.84, "end": 875.22, "word": " deal", "probability": 0.89404296875}, {"start": 875.22, "end": 875.62, "word": " with", "probability": 0.90576171875}, {"start": 875.62, "end": 876.22, "word": " the", "probability": 0.9111328125}, {"start": 876.22, "end": 876.4, "word": " third", "probability": 0.91064453125}, {"start": 876.4, "end": 876.44, "word": " lens", "probability": 0.88427734375}, {"start": 876.44, "end": 877.0, "word": " alone", "probability": 0.65234375}, {"start": 877.0, "end": 879.64, "word": " We", "probability": 0.76171875}, {"start": 879.64, "end": 879.86, "word": " want", "probability": 0.5673828125}, {"start": 879.86, "end": 879.96, "word": " to", "probability": 0.9716796875}, {"start": 879.96, "end": 880.24, "word": " copy", "probability": 0.84716796875}, {"start": 880.24, "end": 880.6, "word": " this", "probability": 0.9208984375}, {"start": 880.6, "end": 880.98, "word": " square", "probability": 0.583984375}, {"start": 880.98, "end": 881.52, "word": " that", "probability": 0.57470703125}, {"start": 881.52, "end": 881.9, "word": " helps", "probability": 0.8115234375}, {"start": 881.9, "end": 882.14, "word": " us", "probability": 0.92138671875}, {"start": 882.14, "end": 882.22, "word": " in", "probability": 0.7119140625}, {"start": 882.22, "end": 882.6, "word": " mapping", "probability": 0.268310546875}], "temperature": 1.0}, {"id": 33, "seek": 91190, "start": 890.88, "end": 911.9, "text": "Of course the lens here is the third number which is 2 diopter plus 2 diopter Now let's say this is the picture of the lens number 2 which is the body of the lens number 3 and coming to its right 50 cm away from it You see where the last picture will be formed", "tokens": [23919, 1164, 264, 6765, 510, 307, 264, 2636, 1230, 597, 307, 568, 1026, 404, 391, 1804, 568, 1026, 404, 391, 823, 718, 311, 584, 341, 307, 264, 3036, 295, 264, 6765, 1230, 568, 597, 307, 264, 1772, 295, 264, 6765, 1230, 805, 293, 1348, 281, 1080, 558, 2625, 14668, 1314, 490, 309, 509, 536, 689, 264, 1036, 3036, 486, 312, 8693], "avg_logprob": -0.5211693346500397, "compression_ratio": 1.6560509554140128, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 890.88, "end": 891.14, "word": "Of", "probability": 0.1949462890625}, {"start": 891.14, "end": 891.26, "word": " course", "probability": 0.88671875}, {"start": 891.26, "end": 891.4, "word": " the", "probability": 0.4130859375}, {"start": 891.4, "end": 891.66, "word": " lens", "probability": 0.343994140625}, {"start": 891.66, "end": 892.06, "word": " here", "probability": 0.54150390625}, {"start": 892.06, "end": 892.5, "word": " is", "probability": 0.736328125}, {"start": 892.5, "end": 892.6, "word": " the", "probability": 0.370849609375}, {"start": 892.6, "end": 892.76, "word": " third", "probability": 0.7294921875}, {"start": 892.76, "end": 893.06, "word": " number", "probability": 0.1888427734375}, {"start": 893.06, "end": 893.86, "word": " which", "probability": 0.486572265625}, {"start": 893.86, "end": 894.04, "word": " is", "probability": 0.91943359375}, {"start": 894.04, "end": 894.3, "word": " 2", "probability": 0.7578125}, {"start": 894.3, "end": 894.92, "word": " diopter", "probability": 0.6539713541666666}, {"start": 894.92, "end": 897.86, "word": " plus", "probability": 0.397216796875}, {"start": 897.86, "end": 898.3, "word": " 2", "probability": 0.81640625}, {"start": 898.3, "end": 898.86, "word": " diopter", "probability": 0.9181315104166666}, {"start": 898.86, "end": 899.42, "word": " Now", "probability": 0.27392578125}, {"start": 899.42, "end": 899.86, "word": " let's", "probability": 0.6639404296875}, {"start": 899.86, "end": 900.14, "word": " say", "probability": 0.927734375}, {"start": 900.14, "end": 902.04, "word": " this", "probability": 0.5556640625}, {"start": 902.04, "end": 902.12, "word": " is", "probability": 0.77880859375}, {"start": 902.12, "end": 902.14, "word": " the", "probability": 0.56640625}, {"start": 902.14, "end": 902.3, "word": " picture", "probability": 0.410888671875}, {"start": 902.3, "end": 902.46, "word": " of", "probability": 0.953125}, {"start": 902.46, "end": 902.5, "word": " the", "probability": 0.343017578125}, {"start": 902.5, "end": 902.76, "word": " lens", "probability": 0.50244140625}, {"start": 902.76, "end": 903.1, "word": " number", "probability": 0.79736328125}, {"start": 903.1, "end": 903.62, "word": " 2", "probability": 0.68603515625}, {"start": 903.62, "end": 904.42, "word": " which", "probability": 0.60693359375}, {"start": 904.42, "end": 904.56, "word": " is", "probability": 0.92333984375}, {"start": 904.56, "end": 904.66, "word": " the", "probability": 0.78173828125}, {"start": 904.66, "end": 904.82, "word": " body", "probability": 0.609375}, {"start": 904.82, "end": 905.02, "word": " of", "probability": 0.93408203125}, {"start": 905.02, "end": 905.08, "word": " the", "probability": 0.66015625}, {"start": 905.08, "end": 905.36, "word": " lens", "probability": 0.87841796875}, {"start": 905.36, "end": 905.68, "word": " number", "probability": 0.88818359375}, {"start": 905.68, "end": 906.12, "word": " 3", "probability": 0.888671875}, {"start": 906.12, "end": 906.28, "word": " and", "probability": 0.490234375}, {"start": 906.28, "end": 906.48, "word": " coming", "probability": 0.10430908203125}, {"start": 906.48, "end": 906.62, "word": " to", "probability": 0.77392578125}, {"start": 906.62, "end": 906.64, "word": " its", "probability": 0.5986328125}, {"start": 906.64, "end": 906.98, "word": " right", "probability": 0.90478515625}, {"start": 906.98, "end": 908.26, "word": " 50", "probability": 0.217041015625}, {"start": 908.26, "end": 909.26, "word": " cm", "probability": 0.447998046875}, {"start": 909.26, "end": 909.26, "word": " away", "probability": 0.869140625}, {"start": 909.26, "end": 909.28, "word": " from", "probability": 0.64990234375}, {"start": 909.28, "end": 909.28, "word": " it", "probability": 0.87255859375}, {"start": 909.28, "end": 909.44, "word": " You", "probability": 0.1458740234375}, {"start": 909.44, "end": 909.8, "word": " see", "probability": 0.67919921875}, {"start": 909.8, "end": 910.28, "word": " where", "probability": 0.84619140625}, {"start": 910.28, "end": 910.48, "word": " the", "probability": 0.779296875}, {"start": 910.48, "end": 911.04, "word": " last", "probability": 0.76318359375}, {"start": 911.04, "end": 911.08, "word": " picture", "probability": 0.62060546875}, {"start": 911.08, "end": 911.38, "word": " will", "probability": 0.73193359375}, {"start": 911.38, "end": 911.52, "word": " be", "probability": 0.5654296875}, {"start": 911.52, "end": 911.9, "word": " formed", "probability": 0.75439453125}], "temperature": 1.0}, {"id": 34, "seek": 93953, "start": 923.35, "end": 939.53, "text": "We say U is equal to, this time we will say, plus N over O Why plus? Because it is convergent when it collides with the mirror Plus one over O fifty centimeters, which is half a meter", "tokens": [4360, 584, 624, 307, 2681, 281, 11, 341, 565, 321, 486, 584, 11, 1804, 426, 670, 422, 1545, 1804, 30, 1436, 309, 307, 9652, 6930, 562, 309, 1263, 1875, 365, 264, 8013, 7721, 472, 670, 422, 13442, 23300, 11, 597, 307, 1922, 257, 9255], "avg_logprob": -0.5288194391462538, "compression_ratio": 1.3455882352941178, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 923.35, "end": 923.59, "word": "We", "probability": 0.263671875}, {"start": 923.59, "end": 923.77, "word": " say", "probability": 0.56591796875}, {"start": 923.77, "end": 924.11, "word": " U", "probability": 0.341552734375}, {"start": 924.11, "end": 924.81, "word": " is", "probability": 0.345947265625}, {"start": 924.81, "end": 925.21, "word": " equal", "probability": 0.828125}, {"start": 925.21, "end": 925.71, "word": " to,", "probability": 0.80908203125}, {"start": 925.71, "end": 925.99, "word": " this", "probability": 0.71142578125}, {"start": 925.99, "end": 926.09, "word": " time", "probability": 0.888671875}, {"start": 926.09, "end": 926.35, "word": " we", "probability": 0.8916015625}, {"start": 926.35, "end": 926.35, "word": " will", "probability": 0.28125}, {"start": 926.35, "end": 926.59, "word": " say,", "probability": 0.92578125}, {"start": 926.71, "end": 927.07, "word": " plus", "probability": 0.5576171875}, {"start": 927.07, "end": 927.63, "word": " N", "probability": 0.7451171875}, {"start": 927.63, "end": 927.89, "word": " over", "probability": 0.40966796875}, {"start": 927.89, "end": 928.15, "word": " O", "probability": 0.94580078125}, {"start": 928.15, "end": 929.17, "word": " Why", "probability": 0.38671875}, {"start": 929.17, "end": 929.49, "word": " plus?", "probability": 0.73388671875}, {"start": 929.59, "end": 929.77, "word": " Because", "probability": 0.82373046875}, {"start": 929.77, "end": 930.13, "word": " it", "probability": 0.360107421875}, {"start": 930.13, "end": 930.17, "word": " is", "probability": 0.70263671875}, {"start": 930.17, "end": 930.93, "word": " convergent", "probability": 0.91943359375}, {"start": 930.93, "end": 931.23, "word": " when", "probability": 0.86962890625}, {"start": 931.23, "end": 931.35, "word": " it", "probability": 0.58642578125}, {"start": 931.35, "end": 931.71, "word": " collides", "probability": 0.622802734375}, {"start": 931.71, "end": 932.09, "word": " with", "probability": 0.8603515625}, {"start": 932.09, "end": 932.21, "word": " the", "probability": 0.67431640625}, {"start": 932.21, "end": 932.49, "word": " mirror", "probability": 0.345703125}, {"start": 932.49, "end": 933.47, "word": " Plus", "probability": 0.433349609375}, {"start": 933.47, "end": 933.93, "word": " one", "probability": 0.521484375}, {"start": 933.93, "end": 934.51, "word": " over", "probability": 0.84423828125}, {"start": 934.51, "end": 937.79, "word": " O", "probability": 0.70263671875}, {"start": 937.79, "end": 938.21, "word": " fifty", "probability": 0.30810546875}, {"start": 938.21, "end": 938.65, "word": " centimeters,", "probability": 0.794921875}, {"start": 938.87, "end": 938.91, "word": " which", "probability": 0.35693359375}, {"start": 938.91, "end": 938.95, "word": " is", "probability": 0.736328125}, {"start": 938.95, "end": 939.21, "word": " half", "probability": 0.763671875}, {"start": 939.21, "end": 939.31, "word": " a", "probability": 0.86572265625}, {"start": 939.31, "end": 939.53, "word": " meter", "probability": 0.92919921875}], "temperature": 1.0}, {"id": 35, "seek": 97208, "start": 943.4, "end": 972.08, "text": "and it's equal to plus two diopters so the light will reach two diopters to the surface of the lens number three to the surface of the lens number three we will record two diopters on the surface of the front lens plus two diopters and the power of the lens is also plus two diopters either you see how turbulent the light will come out", "tokens": [474, 309, 311, 2681, 281, 1804, 732, 1026, 404, 1559, 370, 264, 1442, 486, 2524, 732, 1026, 404, 1559, 281, 264, 3753, 295, 264, 6765, 1230, 1045, 281, 264, 9684, 617, 295, 264, 6765, 1230, 1045, 321, 486, 2136, 732, 1026, 404, 1559, 322, 264, 3753, 295, 264, 1868, 6765, 1804, 732, 1026, 404, 1559, 293, 264, 1347, 295, 264, 6765, 307, 611, 1804, 732, 1026, 404, 1559, 2139, 291, 536, 577, 41697, 264, 1442, 486, 808, 484], "avg_logprob": -0.44185126431380645, "compression_ratio": 2.27027027027027, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 943.4, "end": 943.7, "word": "and", "probability": 0.1337890625}, {"start": 943.7, "end": 943.94, "word": " it's", "probability": 0.2578125}, {"start": 943.94, "end": 944.22, "word": " equal", "probability": 0.382568359375}, {"start": 944.22, "end": 944.52, "word": " to", "probability": 0.927734375}, {"start": 944.52, "end": 945.14, "word": " plus", "probability": 0.1773681640625}, {"start": 945.14, "end": 946.0, "word": " two", "probability": 0.384033203125}, {"start": 946.0, "end": 946.7, "word": " diopters", "probability": 0.84716796875}, {"start": 946.7, "end": 947.14, "word": " so", "probability": 0.311767578125}, {"start": 947.14, "end": 947.66, "word": " the", "probability": 0.52783203125}, {"start": 947.66, "end": 947.9, "word": " light", "probability": 0.8486328125}, {"start": 947.9, "end": 948.58, "word": " will", "probability": 0.65869140625}, {"start": 948.58, "end": 949.0, "word": " reach", "probability": 0.71826171875}, {"start": 949.0, "end": 949.52, "word": " two", "probability": 0.459228515625}, {"start": 949.52, "end": 950.2, "word": " diopters", "probability": 0.9484049479166666}, {"start": 950.2, "end": 950.7, "word": " to", "probability": 0.51416015625}, {"start": 950.7, "end": 950.82, "word": " the", "probability": 0.73828125}, {"start": 950.82, "end": 950.94, "word": " surface", "probability": 0.36767578125}, {"start": 950.94, "end": 951.08, "word": " of", "probability": 0.95458984375}, {"start": 951.08, "end": 951.12, "word": " the", "probability": 0.7666015625}, {"start": 951.12, "end": 951.36, "word": " lens", "probability": 0.362060546875}, {"start": 951.36, "end": 951.76, "word": " number", "probability": 0.67138671875}, {"start": 951.76, "end": 952.58, "word": " three", "probability": 0.82470703125}, {"start": 952.58, "end": 952.74, "word": " to", "probability": 0.515625}, {"start": 952.74, "end": 953.0, "word": " the", "probability": 0.86083984375}, {"start": 953.0, "end": 953.0, "word": " surface", "probability": 0.6173095703125}, {"start": 953.0, "end": 953.1, "word": " of", "probability": 0.94873046875}, {"start": 953.1, "end": 953.18, "word": " the", "probability": 0.86572265625}, {"start": 953.18, "end": 953.36, "word": " lens", "probability": 0.80224609375}, {"start": 953.36, "end": 953.7, "word": " number", "probability": 0.8837890625}, {"start": 953.7, "end": 954.3, "word": " three", "probability": 0.9208984375}, {"start": 954.3, "end": 958.62, "word": " we", "probability": 0.6298828125}, {"start": 958.62, "end": 958.7, "word": " will", "probability": 0.487548828125}, {"start": 958.7, "end": 959.12, "word": " record", "probability": 0.666015625}, {"start": 959.12, "end": 959.76, "word": " two", "probability": 0.91259765625}, {"start": 959.76, "end": 960.44, "word": " diopters", "probability": 0.9549153645833334}, {"start": 960.44, "end": 963.0, "word": " on", "probability": 0.78564453125}, {"start": 963.0, "end": 963.2, "word": " the", "probability": 0.8994140625}, {"start": 963.2, "end": 963.34, "word": " surface", "probability": 0.414306640625}, {"start": 963.34, "end": 963.48, "word": " of", "probability": 0.95751953125}, {"start": 963.48, "end": 964.08, "word": " the", "probability": 0.90673828125}, {"start": 964.08, "end": 964.3, "word": " front", "probability": 0.52490234375}, {"start": 964.3, "end": 964.6, "word": " lens", "probability": 0.873046875}, {"start": 964.6, "end": 965.34, "word": " plus", "probability": 0.89404296875}, {"start": 965.34, "end": 965.74, "word": " two", "probability": 0.931640625}, {"start": 965.74, "end": 966.26, "word": " diopters", "probability": 0.9537760416666666}, {"start": 966.26, "end": 966.46, "word": " and", "probability": 0.8212890625}, {"start": 966.46, "end": 966.56, "word": " the", "probability": 0.8408203125}, {"start": 966.56, "end": 966.68, "word": " power", "probability": 0.341796875}, {"start": 966.68, "end": 966.84, "word": " of", "probability": 0.9453125}, {"start": 966.84, "end": 967.14, "word": " the", "probability": 0.91162109375}, {"start": 967.14, "end": 967.14, "word": " lens", "probability": 0.84765625}, {"start": 967.14, "end": 967.32, "word": " is", "probability": 0.4150390625}, {"start": 967.32, "end": 967.58, "word": " also", "probability": 0.84130859375}, {"start": 967.58, "end": 967.94, "word": " plus", "probability": 0.91162109375}, {"start": 967.94, "end": 968.24, "word": " two", "probability": 0.93017578125}, {"start": 968.24, "end": 968.82, "word": " diopters", "probability": 0.9547526041666666}, {"start": 968.82, "end": 969.52, "word": " either", "probability": 0.2396240234375}, {"start": 969.52, "end": 969.86, "word": " you", "probability": 0.4658203125}, {"start": 969.86, "end": 969.86, "word": " see", "probability": 0.78515625}, {"start": 969.86, "end": 970.24, "word": " how", "probability": 0.8203125}, {"start": 970.24, "end": 970.9, "word": " turbulent", "probability": 0.037261962890625}, {"start": 970.9, "end": 971.46, "word": " the", "probability": 0.36865234375}, {"start": 971.46, "end": 971.46, "word": " light", "probability": 0.87109375}, {"start": 971.46, "end": 971.68, "word": " will", "probability": 0.599609375}, {"start": 971.68, "end": 971.98, "word": " come", "probability": 0.50341796875}, {"start": 971.98, "end": 972.08, "word": " out", "probability": 0.8583984375}], "temperature": 1.0}, {"id": 36, "seek": 100045, "start": 974.43, "end": 1000.45, "text": "we say u plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus two diopters plus", "tokens": [826, 584, 344, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804, 732, 1026, 404, 1559, 1804], "avg_logprob": -0.10395833545260959, "compression_ratio": 19.166666666666668, "no_speech_prob": 4.231929779052734e-06, "words": [{"start": 974.43, "end": 974.63, "word": "we", "probability": 0.39013671875}, {"start": 974.63, "end": 975.05, "word": " say", "probability": 0.74169921875}, {"start": 975.05, "end": 976.45, "word": " u", "probability": 0.4521484375}, {"start": 976.45, "end": 978.33, "word": " plus", "probability": 0.2008056640625}, {"start": 978.33, "end": 982.59, "word": " two", "probability": 0.1922607421875}, {"start": 982.59, "end": 983.27, "word": " diopters", "probability": 0.7841796875}, {"start": 983.27, "end": 984.81, "word": " plus", "probability": 0.70458984375}, {"start": 984.81, "end": 985.95, "word": " two", "probability": 0.4072265625}, {"start": 985.95, "end": 986.73, "word": " diopters", "probability": 0.9306640625}, {"start": 986.73, "end": 988.01, "word": " plus", "probability": 0.339599609375}, {"start": 988.01, "end": 989.29, "word": " two", "probability": 0.75390625}, {"start": 989.29, "end": 989.29, "word": " diopters", "probability": 0.93994140625}, {"start": 989.29, "end": 989.29, "word": " plus", "probability": 0.44921875}, {"start": 989.29, "end": 989.29, "word": " two", "probability": 0.8642578125}, {"start": 989.29, "end": 989.29, "word": " diopters", "probability": 0.94970703125}, {"start": 989.29, "end": 989.29, "word": " plus", "probability": 0.56005859375}, {"start": 989.29, "end": 989.29, "word": " two", "probability": 0.865234375}, {"start": 989.29, "end": 989.29, "word": " diopters", "probability": 0.9534505208333334}, {"start": 989.29, "end": 989.29, "word": " plus", "probability": 0.646484375}, {"start": 989.29, "end": 989.29, "word": " two", "probability": 0.8662109375}, {"start": 989.29, "end": 989.29, "word": " diopters", "probability": 0.9606119791666666}, {"start": 989.29, "end": 989.29, "word": " plus", "probability": 0.7197265625}, {"start": 989.29, "end": 989.29, "word": " two", "probability": 0.8642578125}, {"start": 989.29, "end": 989.29, "word": " diopters", "probability": 0.9615885416666666}, {"start": 989.29, "end": 989.29, "word": " plus", "probability": 0.73583984375}, {"start": 989.29, "end": 989.29, "word": " two", "probability": 0.85595703125}, {"start": 989.29, "end": 989.29, "word": " diopters", "probability": 0.9601236979166666}, {"start": 989.29, "end": 989.29, "word": " plus", "probability": 0.74072265625}, {"start": 989.29, "end": 989.29, "word": " two", "probability": 0.8515625}, {"start": 989.29, "end": 989.29, "word": " diopters", "probability": 0.9593098958333334}, {"start": 989.29, "end": 989.83, "word": " plus", "probability": 0.75390625}, {"start": 989.83, "end": 993.59, "word": " two", "probability": 0.8544921875}, {"start": 993.59, "end": 993.59, "word": " diopters", "probability": 0.958984375}, {"start": 993.59, "end": 993.59, "word": " plus", "probability": 0.7734375}, {"start": 993.59, "end": 993.59, "word": " two", "probability": 0.8583984375}, {"start": 993.59, "end": 993.59, "word": " diopters", "probability": 0.9597981770833334}, {"start": 993.59, "end": 993.59, "word": " plus", "probability": 0.7958984375}, {"start": 993.59, "end": 993.59, "word": " two", "probability": 0.86669921875}, {"start": 993.59, "end": 993.59, "word": " diopters", "probability": 0.96044921875}, {"start": 993.59, "end": 993.59, "word": " plus", "probability": 0.8193359375}, {"start": 993.59, "end": 993.83, "word": " two", "probability": 0.87744140625}, {"start": 993.83, "end": 995.05, "word": " diopters", "probability": 0.9619140625}, {"start": 995.05, "end": 995.33, "word": " plus", "probability": 0.84130859375}, {"start": 995.33, "end": 996.13, "word": " two", "probability": 0.88671875}, {"start": 996.13, "end": 996.13, "word": " diopters", "probability": 0.9632161458333334}, {"start": 996.13, "end": 996.37, "word": " plus", "probability": 0.85791015625}, {"start": 996.37, "end": 997.07, "word": " two", "probability": 0.89453125}, {"start": 997.07, "end": 997.61, "word": " diopters", "probability": 0.9637044270833334}, {"start": 997.61, "end": 997.99, "word": " plus", "probability": 0.87158203125}, {"start": 997.99, "end": 998.11, "word": " two", "probability": 0.90087890625}, {"start": 998.11, "end": 998.25, "word": " diopters", "probability": 0.9641927083333334}, {"start": 998.25, "end": 998.39, "word": " plus", "probability": 0.88232421875}, {"start": 998.39, "end": 998.73, "word": " two", "probability": 0.90576171875}, {"start": 998.73, "end": 999.43, "word": " diopters", "probability": 0.96435546875}, {"start": 999.43, "end": 999.69, "word": " plus", "probability": 0.890625}, {"start": 999.69, "end": 999.69, "word": " two", "probability": 0.9111328125}, {"start": 999.69, "end": 1000.05, "word": " diopters", "probability": 0.9646809895833334}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.89794921875}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.9150390625}, {"start": 1000.05, "end": 1000.05, "word": " diopters", "probability": 0.9646809895833334}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.90625}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.9189453125}, {"start": 1000.05, "end": 1000.05, "word": " diopters", "probability": 0.9650065104166666}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.9111328125}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.92041015625}, {"start": 1000.05, "end": 1000.05, "word": " diopters", "probability": 0.9645182291666666}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.91650390625}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.9228515625}, {"start": 1000.05, "end": 1000.05, "word": " diopters", "probability": 0.9640299479166666}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.9208984375}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.9248046875}, {"start": 1000.05, "end": 1000.05, "word": " diopters", "probability": 0.9637044270833334}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.9248046875}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.9267578125}, {"start": 1000.05, "end": 1000.05, "word": " diopters", "probability": 0.96337890625}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.92822265625}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.92822265625}, {"start": 1000.05, "end": 1000.05, "word": " diopters", "probability": 0.9627278645833334}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.93115234375}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.9287109375}, {"start": 1000.05, "end": 1000.05, "word": " diopters", "probability": 0.9619140625}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.93359375}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.9296875}, {"start": 1000.05, "end": 1000.05, "word": " diopters", "probability": 0.9615885416666666}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.93603515625}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.93017578125}, {"start": 1000.05, "end": 1000.05, "word": " diopters", "probability": 0.96044921875}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.9375}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.93115234375}, {"start": 1000.05, "end": 1000.05, "word": " diopters", "probability": 0.9597981770833334}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.9384765625}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.93115234375}, {"start": 1000.05, "end": 1000.05, "word": " diopters", "probability": 0.958984375}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.9404296875}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.93017578125}, {"start": 1000.05, "end": 1000.05, "word": " diopters", "probability": 0.9580078125}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.94140625}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.93115234375}, {"start": 1000.05, "end": 1000.05, "word": " diopters", "probability": 0.9568684895833334}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.9423828125}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.92919921875}, {"start": 1000.05, "end": 1000.05, "word": " diopters", "probability": 0.9563802083333334}, {"start": 1000.05, "end": 1000.05, "word": " plus", "probability": 0.94384765625}, {"start": 1000.05, "end": 1000.05, "word": " two", "probability": 0.93017578125}, {"start": 1000.05, "end": 1000.19, "word": " diopters", "probability": 0.9552408854166666}, {"start": 1000.19, "end": 1000.23, "word": " plus", "probability": 0.9453125}, {"start": 1000.23, "end": 1000.23, "word": " two", "probability": 0.92919921875}, {"start": 1000.23, "end": 1000.23, "word": " diopters", "probability": 0.9542643229166666}, {"start": 1000.23, "end": 1000.23, "word": " plus", "probability": 0.9462890625}, {"start": 1000.23, "end": 1000.23, "word": " two", "probability": 0.9296875}, {"start": 1000.23, "end": 1000.23, "word": " diopters", "probability": 0.9527994791666666}, {"start": 1000.23, "end": 1000.23, "word": " plus", "probability": 0.947265625}, {"start": 1000.23, "end": 1000.23, "word": " two", "probability": 0.93017578125}, {"start": 1000.23, "end": 1000.23, "word": " diopters", "probability": 0.9527994791666666}, {"start": 1000.23, "end": 1000.23, "word": " plus", "probability": 0.94775390625}, {"start": 1000.23, "end": 1000.23, "word": " two", "probability": 0.927734375}, {"start": 1000.23, "end": 1000.23, "word": " diopters", "probability": 0.95166015625}, {"start": 1000.23, "end": 1000.23, "word": " plus", "probability": 0.94775390625}, {"start": 1000.23, "end": 1000.23, "word": " two", "probability": 0.9287109375}, {"start": 1000.23, "end": 1000.23, "word": " diopters", "probability": 0.9514973958333334}, {"start": 1000.23, "end": 1000.23, "word": " plus", "probability": 0.94921875}, {"start": 1000.23, "end": 1000.23, "word": " two", "probability": 0.9287109375}, {"start": 1000.23, "end": 1000.23, "word": " diopters", "probability": 0.9518229166666666}, {"start": 1000.23, "end": 1000.23, "word": " plus", "probability": 0.9501953125}, {"start": 1000.23, "end": 1000.23, "word": " two", "probability": 0.92822265625}, {"start": 1000.23, "end": 1000.23, "word": " diopters", "probability": 0.9521484375}, {"start": 1000.23, "end": 1000.23, "word": " plus", "probability": 0.9501953125}, {"start": 1000.23, "end": 1000.23, "word": " two", "probability": 0.92724609375}, {"start": 1000.23, "end": 1000.27, "word": " diopters", "probability": 0.951171875}, {"start": 1000.27, "end": 1000.29, "word": " plus", "probability": 0.95068359375}, {"start": 1000.29, "end": 1000.31, "word": " two", "probability": 0.92578125}, {"start": 1000.31, "end": 1000.37, "word": " diopters", "probability": 0.9521484375}, {"start": 1000.37, "end": 1000.39, "word": " plus", "probability": 0.95068359375}, {"start": 1000.39, "end": 1000.41, "word": " two", "probability": 0.92578125}, {"start": 1000.41, "end": 1000.45, "word": " diopters", "probability": 0.95263671875}, {"start": 1000.45, "end": 1000.45, "word": " plus", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 37, "seek": 102608, "start": 1001.82, "end": 1026.08, "text": "Plus four diopters As the light emits a convergence, plus four diopters, it will form a real picture Where is this real picture? We say V is equal to I", "tokens": [32111, 1451, 1026, 404, 1559, 1018, 264, 1442, 846, 1208, 257, 32181, 11, 1804, 1451, 1026, 404, 1559, 11, 309, 486, 1254, 257, 957, 3036, 2305, 307, 341, 957, 3036, 30, 492, 584, 691, 307, 2681, 281, 286], "avg_logprob": -0.6442307508908786, "compression_ratio": 1.3482142857142858, "no_speech_prob": 1.4781951904296875e-05, "words": [{"start": 1001.82, "end": 1002.26, "word": "Plus", "probability": 0.36865234375}, {"start": 1002.26, "end": 1002.82, "word": " four", "probability": 0.4482421875}, {"start": 1002.82, "end": 1004.36, "word": " diopters", "probability": 0.5792643229166666}, {"start": 1004.36, "end": 1013.42, "word": " As", "probability": 0.321533203125}, {"start": 1013.42, "end": 1013.62, "word": " the", "probability": 0.3466796875}, {"start": 1013.62, "end": 1013.76, "word": " light", "probability": 0.728515625}, {"start": 1013.76, "end": 1014.24, "word": " emits", "probability": 0.529571533203125}, {"start": 1014.24, "end": 1014.46, "word": " a", "probability": 0.32666015625}, {"start": 1014.46, "end": 1014.92, "word": " convergence,", "probability": 0.278076171875}, {"start": 1015.26, "end": 1016.98, "word": " plus", "probability": 0.529296875}, {"start": 1016.98, "end": 1017.46, "word": " four", "probability": 0.8671875}, {"start": 1017.46, "end": 1017.98, "word": " diopters,", "probability": 0.9386393229166666}, {"start": 1018.06, "end": 1018.24, "word": " it", "probability": 0.453369140625}, {"start": 1018.24, "end": 1018.4, "word": " will", "probability": 0.357421875}, {"start": 1018.4, "end": 1018.72, "word": " form", "probability": 0.56005859375}, {"start": 1018.72, "end": 1019.12, "word": " a", "probability": 0.8896484375}, {"start": 1019.12, "end": 1019.5, "word": " real", "probability": 0.65869140625}, {"start": 1019.5, "end": 1019.78, "word": " picture", "probability": 0.413330078125}, {"start": 1019.78, "end": 1020.48, "word": " Where", "probability": 0.340087890625}, {"start": 1020.48, "end": 1020.72, "word": " is", "probability": 0.87158203125}, {"start": 1020.72, "end": 1021.06, "word": " this", "probability": 0.83740234375}, {"start": 1021.06, "end": 1021.7, "word": " real", "probability": 0.734375}, {"start": 1021.7, "end": 1021.98, "word": " picture?", "probability": 0.83349609375}, {"start": 1022.16, "end": 1022.3, "word": " We", "probability": 0.609375}, {"start": 1022.3, "end": 1022.6, "word": " say", "probability": 0.78466796875}, {"start": 1022.6, "end": 1023.5, "word": " V", "probability": 0.334228515625}, {"start": 1023.5, "end": 1024.16, "word": " is", "probability": 0.5263671875}, {"start": 1024.16, "end": 1024.5, "word": " equal", "probability": 0.77685546875}, {"start": 1024.5, "end": 1024.64, "word": " to", "probability": 0.95556640625}, {"start": 1024.64, "end": 1026.08, "word": " I", "probability": 0.130615234375}], "temperature": 1.0}, {"id": 38, "seek": 104976, "start": 1030.42, "end": 1049.76, "text": "إذن I تساوي أنشرط على V ويساوي 1 على plus 4 ديوبتر ويساوي plus ربع متر plus ربع", "tokens": [28814, 8848, 1863, 286, 6055, 3794, 995, 45865, 14739, 46309, 9566, 15844, 691, 4032, 1829, 3794, 995, 45865, 502, 15844, 1804, 1017, 11778, 1829, 37746, 2655, 2288, 4032, 1829, 3794, 995, 45865, 1804, 12602, 3555, 3615, 44650, 2288, 1804, 12602, 3555, 3615], "avg_logprob": -0.27707122647485066, "compression_ratio": 1.3440860215053763, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1030.42, "end": 1030.88, "word": "إذن", "probability": 0.4996744791666667}, {"start": 1030.88, "end": 1031.24, "word": " I", "probability": 0.80419921875}, {"start": 1031.24, "end": 1031.8, "word": " تساوي", "probability": 0.8486328125}, {"start": 1031.8, "end": 1032.38, "word": " أنشرط", "probability": 0.6066487630208334}, {"start": 1032.38, "end": 1032.6, "word": " على", "probability": 0.81201171875}, {"start": 1032.6, "end": 1032.94, "word": " V", "probability": 0.9658203125}, {"start": 1032.94, "end": 1038.4, "word": " ويساوي", "probability": 0.863671875}, {"start": 1038.4, "end": 1039.48, "word": " 1", "probability": 0.6044921875}, {"start": 1039.48, "end": 1041.48, "word": " على", "probability": 0.6357421875}, {"start": 1041.48, "end": 1042.16, "word": " plus", "probability": 0.7177734375}, {"start": 1042.16, "end": 1042.58, "word": " 4", "probability": 0.9267578125}, {"start": 1042.58, "end": 1043.32, "word": " ديوبتر", "probability": 0.751611328125}, {"start": 1043.32, "end": 1045.56, "word": " ويساوي", "probability": 0.96015625}, {"start": 1045.56, "end": 1047.16, "word": " plus", "probability": 0.9619140625}, {"start": 1047.16, "end": 1048.36, "word": " ربع", "probability": 0.88916015625}, {"start": 1048.36, "end": 1048.76, "word": " متر", "probability": 0.82958984375}, {"start": 1048.76, "end": 1049.16, "word": " plus", "probability": 0.69580078125}, {"start": 1049.16, "end": 1049.76, "word": " ربع", "probability": 0.8642578125}], "temperature": 1.0}, {"id": 39, "seek": 107560, "start": 1050.87, "end": 1075.61, "text": "and the diopter in the position goes up and becomes meter so the image is quarter meter or 25 cm from the third lens from the third lens we come to transphase magnification first of all this is the place of the image this is the place of the image quarter meter away quarter meter away", "tokens": [474, 264, 1026, 404, 391, 294, 264, 2535, 1709, 493, 293, 3643, 9255, 370, 264, 3256, 307, 6555, 9255, 420, 3552, 14668, 490, 264, 2636, 6765, 490, 264, 2636, 6765, 321, 808, 281, 1145, 43331, 4944, 3774, 700, 295, 439, 341, 307, 264, 1081, 295, 264, 3256, 341, 307, 264, 1081, 295, 264, 3256, 6555, 9255, 1314, 6555, 9255, 1314], "avg_logprob": -0.49692620996569026, "compression_ratio": 1.9791666666666667, "no_speech_prob": 1.1324882507324219e-06, "words": [{"start": 1050.87, "end": 1051.13, "word": "and", "probability": 0.41259765625}, {"start": 1051.13, "end": 1051.19, "word": " the", "probability": 0.74560546875}, {"start": 1051.19, "end": 1051.69, "word": " diopter", "probability": 0.8230794270833334}, {"start": 1051.69, "end": 1052.15, "word": " in", "probability": 0.312255859375}, {"start": 1052.15, "end": 1052.29, "word": " the", "probability": 0.52099609375}, {"start": 1052.29, "end": 1052.59, "word": " position", "probability": 0.225341796875}, {"start": 1052.59, "end": 1052.85, "word": " goes", "probability": 0.22607421875}, {"start": 1052.85, "end": 1053.03, "word": " up", "probability": 0.6748046875}, {"start": 1053.03, "end": 1053.13, "word": " and", "probability": 0.419677734375}, {"start": 1053.13, "end": 1053.31, "word": " becomes", "probability": 0.64453125}, {"start": 1053.31, "end": 1054.21, "word": " meter", "probability": 0.339111328125}, {"start": 1054.21, "end": 1054.61, "word": " so", "probability": 0.175048828125}, {"start": 1054.61, "end": 1055.03, "word": " the", "probability": 0.67626953125}, {"start": 1055.03, "end": 1055.29, "word": " image", "probability": 0.463134765625}, {"start": 1055.29, "end": 1055.55, "word": " is", "probability": 0.59326171875}, {"start": 1055.55, "end": 1056.89, "word": " quarter", "probability": 0.253173828125}, {"start": 1056.89, "end": 1057.33, "word": " meter", "probability": 0.71142578125}, {"start": 1057.33, "end": 1057.51, "word": " or", "probability": 0.79248046875}, {"start": 1057.51, "end": 1058.09, "word": " 25", "probability": 0.81005859375}, {"start": 1058.09, "end": 1058.85, "word": " cm", "probability": 0.398681640625}, {"start": 1058.85, "end": 1060.17, "word": " from", "probability": 0.67529296875}, {"start": 1060.17, "end": 1061.07, "word": " the", "probability": 0.75537109375}, {"start": 1061.07, "end": 1061.73, "word": " third", "probability": 0.349853515625}, {"start": 1061.73, "end": 1062.77, "word": " lens", "probability": 0.72607421875}, {"start": 1062.77, "end": 1063.11, "word": " from", "probability": 0.449462890625}, {"start": 1063.11, "end": 1063.27, "word": " the", "probability": 0.86669921875}, {"start": 1063.27, "end": 1063.53, "word": " third", "probability": 0.90576171875}, {"start": 1063.53, "end": 1064.03, "word": " lens", "probability": 0.8876953125}, {"start": 1064.03, "end": 1066.81, "word": " we", "probability": 0.5673828125}, {"start": 1066.81, "end": 1067.03, "word": " come", "probability": 0.671875}, {"start": 1067.03, "end": 1067.25, "word": " to", "probability": 0.966796875}, {"start": 1067.25, "end": 1067.87, "word": " transphase", "probability": 0.42572021484375}, {"start": 1067.87, "end": 1068.65, "word": " magnification", "probability": 0.969482421875}, {"start": 1068.65, "end": 1068.97, "word": " first", "probability": 0.6162109375}, {"start": 1068.97, "end": 1068.97, "word": " of", "probability": 0.5771484375}, {"start": 1068.97, "end": 1069.21, "word": " all", "probability": 0.94873046875}, {"start": 1069.21, "end": 1069.41, "word": " this", "probability": 0.58642578125}, {"start": 1069.41, "end": 1069.59, "word": " is", "probability": 0.5439453125}, {"start": 1069.59, "end": 1069.75, "word": " the", "probability": 0.8125}, {"start": 1069.75, "end": 1069.75, "word": " place", "probability": 0.47705078125}, {"start": 1069.75, "end": 1069.89, "word": " of", "probability": 0.92333984375}, {"start": 1069.89, "end": 1069.97, "word": " the", "probability": 0.76513671875}, {"start": 1069.97, "end": 1070.23, "word": " image", "probability": 0.73193359375}, {"start": 1070.23, "end": 1070.95, "word": " this", "probability": 0.71044921875}, {"start": 1070.95, "end": 1071.07, "word": " is", "probability": 0.916015625}, {"start": 1071.07, "end": 1071.29, "word": " the", "probability": 0.90625}, {"start": 1071.29, "end": 1071.29, "word": " place", "probability": 0.85498046875}, {"start": 1071.29, "end": 1071.41, "word": " of", "probability": 0.9609375}, {"start": 1071.41, "end": 1071.47, "word": " the", "probability": 0.90380859375}, {"start": 1071.47, "end": 1071.77, "word": " image", "probability": 0.8623046875}, {"start": 1071.77, "end": 1073.43, "word": " quarter", "probability": 0.28759765625}, {"start": 1073.43, "end": 1074.29, "word": " meter", "probability": 0.80859375}, {"start": 1074.29, "end": 1074.31, "word": " away", "probability": 0.374755859375}, {"start": 1074.31, "end": 1075.05, "word": " quarter", "probability": 0.6640625}, {"start": 1075.05, "end": 1075.61, "word": " meter", "probability": 0.9189453125}, {"start": 1075.61, "end": 1075.61, "word": " away", "probability": 0.87646484375}], "temperature": 1.0}, {"id": 40, "seek": 110804, "start": 1079.22, "end": 1108.04, "text": "From the lens number 3 So, this picture is on a square meter, it's an African picture 25 cm wide", "tokens": [26219, 264, 40116, 82, 1230, 805, 407, 11, 341, 3036, 307, 322, 257, 3732, 9255, 11, 309, 311, 364, 7312, 3036, 3552, 14668, 4874], "avg_logprob": -0.8712499809265136, "compression_ratio": 1.0786516853932584, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1079.22, "end": 1079.54, "word": "From", "probability": 0.1834716796875}, {"start": 1079.54, "end": 1079.64, "word": " the", "probability": 0.442626953125}, {"start": 1079.64, "end": 1080.0, "word": " lens", "probability": 0.5638427734375}, {"start": 1080.0, "end": 1080.42, "word": " number", "probability": 0.6767578125}, {"start": 1080.42, "end": 1081.46, "word": " 3", "probability": 0.71728515625}, {"start": 1081.46, "end": 1100.6, "word": " So,", "probability": 0.288330078125}, {"start": 1101.28, "end": 1101.54, "word": " this", "probability": 0.81005859375}, {"start": 1101.54, "end": 1101.84, "word": " picture", "probability": 0.5146484375}, {"start": 1101.84, "end": 1102.02, "word": " is", "probability": 0.314208984375}, {"start": 1102.02, "end": 1102.06, "word": " on", "probability": 0.42041015625}, {"start": 1102.06, "end": 1102.4, "word": " a", "probability": 0.33056640625}, {"start": 1102.4, "end": 1102.4, "word": " square", "probability": 0.369873046875}, {"start": 1102.4, "end": 1103.18, "word": " meter,", "probability": 0.8115234375}, {"start": 1103.36, "end": 1103.76, "word": " it's", "probability": 0.4373779296875}, {"start": 1103.76, "end": 1103.98, "word": " an", "probability": 0.4755859375}, {"start": 1103.98, "end": 1104.26, "word": " African", "probability": 0.84033203125}, {"start": 1104.26, "end": 1104.6, "word": " picture", "probability": 0.55859375}, {"start": 1104.6, "end": 1106.92, "word": " 25", "probability": 0.36474609375}, {"start": 1106.92, "end": 1108.04, "word": " cm", "probability": 0.39892578125}, {"start": 1108.04, "end": 1108.04, "word": " wide", "probability": 0.2384033203125}], "temperature": 1.0}, {"id": 41, "seek": 112863, "start": 1124.25, "end": 1128.63, "text": "transfers magnification how much it will be", "tokens": [24999, 69, 433, 4944, 3774, 577, 709, 309, 486, 312], "avg_logprob": -0.8870738744735718, "compression_ratio": 0.8775510204081632, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1124.25, "end": 1125.53, "word": "transfers", "probability": 0.473480224609375}, {"start": 1125.53, "end": 1126.49, "word": " magnification", "probability": 0.92333984375}, {"start": 1126.49, "end": 1127.85, "word": " how", "probability": 0.0977783203125}, {"start": 1127.85, "end": 1128.09, "word": " much", "probability": 0.6337890625}, {"start": 1128.09, "end": 1128.31, "word": " it", "probability": 0.5107421875}, {"start": 1128.31, "end": 1128.31, "word": " will", "probability": 0.5673828125}, {"start": 1128.31, "end": 1128.63, "word": " be", "probability": 0.86767578125}], "temperature": 1.0}, {"id": 42, "seek": 116374, "start": 1138.28, "end": 1163.74, "text": "TM3 is equal to U over V is equal to plus 2 diopter over plus 4 diopter is equal to plus over plus X plus half", "tokens": [42023, 18, 307, 2681, 281, 624, 670, 691, 307, 2681, 281, 1804, 568, 1026, 404, 391, 670, 1804, 1017, 1026, 404, 391, 307, 2681, 281, 1804, 670, 1804, 1783, 1804, 1922], "avg_logprob": -0.4135742140933871, "compression_ratio": 1.6923076923076923, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1138.28, "end": 1139.54, "word": "TM3", "probability": 0.694580078125}, {"start": 1139.54, "end": 1140.8, "word": " is", "probability": 0.0106048583984375}, {"start": 1140.8, "end": 1141.3, "word": " equal", "probability": 0.76123046875}, {"start": 1141.3, "end": 1142.9, "word": " to", "probability": 0.89453125}, {"start": 1142.9, "end": 1143.22, "word": " U", "probability": 0.80322265625}, {"start": 1143.22, "end": 1143.44, "word": " over", "probability": 0.2413330078125}, {"start": 1143.44, "end": 1143.8, "word": " V", "probability": 0.984375}, {"start": 1143.8, "end": 1147.58, "word": " is", "probability": 0.2252197265625}, {"start": 1147.58, "end": 1148.08, "word": " equal", "probability": 0.85498046875}, {"start": 1148.08, "end": 1149.1, "word": " to", "probability": 0.97314453125}, {"start": 1149.1, "end": 1149.5, "word": " plus", "probability": 0.615234375}, {"start": 1149.5, "end": 1149.88, "word": " 2", "probability": 0.52294921875}, {"start": 1149.88, "end": 1150.54, "word": " diopter", "probability": 0.6936848958333334}, {"start": 1150.54, "end": 1152.4, "word": " over", "probability": 0.72998046875}, {"start": 1152.4, "end": 1152.78, "word": " plus", "probability": 0.9130859375}, {"start": 1152.78, "end": 1153.3, "word": " 4", "probability": 0.95751953125}, {"start": 1153.3, "end": 1155.18, "word": " diopter", "probability": 0.9482421875}, {"start": 1155.18, "end": 1157.74, "word": " is", "probability": 0.2939453125}, {"start": 1157.74, "end": 1158.26, "word": " equal", "probability": 0.87841796875}, {"start": 1158.26, "end": 1158.88, "word": " to", "probability": 0.96533203125}, {"start": 1158.88, "end": 1159.8, "word": " plus", "probability": 0.7587890625}, {"start": 1159.8, "end": 1159.98, "word": " over", "probability": 0.23388671875}, {"start": 1159.98, "end": 1160.2, "word": " plus", "probability": 0.9404296875}, {"start": 1160.2, "end": 1160.84, "word": " X", "probability": 0.333740234375}, {"start": 1160.84, "end": 1161.9, "word": " plus", "probability": 0.79150390625}, {"start": 1161.9, "end": 1163.74, "word": " half", "probability": 0.81005859375}], "temperature": 1.0}, {"id": 43, "seek": 117432, "start": 1167.5, "end": 1174.32, "text": "إذن هذا التكبير رقم تلاتة، يعني تكبير الصورة بالنسبة للجسم بتاعها، بالنسبة للجسم بتاعها", "tokens": [28814, 8848, 1863, 23758, 16712, 4117, 3555, 13546, 12602, 4587, 2304, 6055, 1211, 9307, 3660, 12399, 37495, 22653, 6055, 4117, 3555, 13546, 31767, 13063, 3660, 20666, 1863, 35457, 3660, 24976, 7435, 38251, 39894, 45761, 11296, 12399, 20666, 1863, 35457, 3660, 24976, 7435, 38251, 39894, 45761, 11296], "avg_logprob": -0.11444481161046535, "compression_ratio": 1.694736842105263, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1167.5, "end": 1167.94, "word": "إذن", "probability": 0.5489501953125}, {"start": 1167.94, "end": 1168.16, "word": " هذا", "probability": 0.8544921875}, {"start": 1168.16, "end": 1168.72, "word": " التكبير", "probability": 0.9696044921875}, {"start": 1168.72, "end": 1169.28, "word": " رقم", "probability": 0.97265625}, {"start": 1169.28, "end": 1170.02, "word": " تلاتة،", "probability": 0.797998046875}, {"start": 1170.02, "end": 1170.2, "word": " يعني", "probability": 0.890869140625}, {"start": 1170.2, "end": 1170.7, "word": " تكبير", "probability": 0.9874267578125}, {"start": 1170.7, "end": 1171.2, "word": " الصورة", "probability": 0.9913736979166666}, {"start": 1171.2, "end": 1171.7, "word": " بالنسبة", "probability": 0.983642578125}, {"start": 1171.7, "end": 1172.18, "word": " للجسم", "probability": 0.9495442708333334}, {"start": 1172.18, "end": 1172.74, "word": " بتاعها،", "probability": 0.9146728515625}, {"start": 1172.74, "end": 1173.26, "word": " بالنسبة", "probability": 0.9967041015625}, {"start": 1173.26, "end": 1173.74, "word": " للجسم", "probability": 0.97119140625}, {"start": 1173.74, "end": 1174.32, "word": " بتاعها", "probability": 0.9767252604166666}], "temperature": 1.0}, {"id": 44, "seek": 121039, "start": 1181.01, "end": 1210.39, "text": "What does x plus half mean? It's a regular picture like its body, this is its body, this is the body of the picture, and it's regular like it, it's not upside down, it's not upside down, and it's half height, so if it's 10 centimeters high, the height of this picture is 5 centimeters, 5 centimeters, so this is how the problem was solved, this is the final picture of the third lens, this is picture number two, which we considered the virtual object of the third lens, now let's discover", "tokens": [3748, 775, 2031, 1804, 1922, 914, 30, 467, 311, 257, 3890, 3036, 411, 1080, 1772, 11, 341, 307, 1080, 1772, 11, 341, 307, 264, 1772, 295, 264, 3036, 11, 293, 309, 311, 3890, 411, 309, 11, 309, 311, 406, 14119, 760, 11, 309, 311, 406, 14119, 760, 11, 293, 309, 311, 1922, 6681, 11, 370, 498, 309, 311, 1266, 23300, 1090, 11, 264, 6681, 295, 341, 3036, 307, 1025, 23300, 11, 1025, 23300, 11, 370, 341, 307, 577, 264, 1154, 390, 13041, 11, 341, 307, 264, 2572, 3036, 295, 264, 2636, 6765, 11, 341, 307, 3036, 1230, 732, 11, 597, 321, 4888, 264, 6374, 2657, 295, 264, 2636, 6765, 11, 586, 718, 311, 4411], "avg_logprob": -0.500271721508192, "compression_ratio": 2.0460251046025104, "no_speech_prob": 0.77099609375, "words": [{"start": 1181.01, "end": 1181.29, "word": "What", "probability": 0.1968994140625}, {"start": 1181.29, "end": 1181.49, "word": " does", "probability": 0.412109375}, {"start": 1181.49, "end": 1181.75, "word": " x", "probability": 0.3974609375}, {"start": 1181.75, "end": 1182.07, "word": " plus", "probability": 0.404296875}, {"start": 1182.07, "end": 1182.37, "word": " half", "probability": 0.71630859375}, {"start": 1182.37, "end": 1182.37, "word": " mean?", "probability": 0.763671875}, {"start": 1182.47, "end": 1182.65, "word": " It's", "probability": 0.473876953125}, {"start": 1182.65, "end": 1182.65, "word": " a", "probability": 0.68212890625}, {"start": 1182.65, "end": 1183.29, "word": " regular", "probability": 0.11834716796875}, {"start": 1183.29, "end": 1183.29, "word": " picture", "probability": 0.272705078125}, {"start": 1183.29, "end": 1183.53, "word": " like", "probability": 0.430908203125}, {"start": 1183.53, "end": 1183.69, "word": " its", "probability": 0.258056640625}, {"start": 1183.69, "end": 1183.97, "word": " body,", "probability": 0.61865234375}, {"start": 1184.19, "end": 1184.37, "word": " this", "probability": 0.408447265625}, {"start": 1184.37, "end": 1184.37, "word": " is", "probability": 0.90380859375}, {"start": 1184.37, "end": 1185.17, "word": " its", "probability": 0.5908203125}, {"start": 1185.17, "end": 1185.17, "word": " body,", "probability": 0.8671875}, {"start": 1185.67, "end": 1185.91, "word": " this", "probability": 0.457763671875}, {"start": 1185.91, "end": 1186.01, "word": " is", "probability": 0.9228515625}, {"start": 1186.01, "end": 1186.03, "word": " the", "probability": 0.52978515625}, {"start": 1186.03, "end": 1186.19, "word": " body", "probability": 0.59228515625}, {"start": 1186.19, "end": 1186.39, "word": " of", "probability": 0.919921875}, {"start": 1186.39, "end": 1186.59, "word": " the", "probability": 0.8505859375}, {"start": 1186.59, "end": 1186.87, "word": " picture,", "probability": 0.64892578125}, {"start": 1187.65, "end": 1187.87, "word": " and", "probability": 0.6416015625}, {"start": 1187.87, "end": 1188.25, "word": " it's", "probability": 0.81884765625}, {"start": 1188.25, "end": 1188.71, "word": " regular", "probability": 0.72119140625}, {"start": 1188.71, "end": 1188.99, "word": " like", "probability": 0.6171875}, {"start": 1188.99, "end": 1189.21, "word": " it,", "probability": 0.5537109375}, {"start": 1189.29, "end": 1189.51, "word": " it's", "probability": 0.5914306640625}, {"start": 1189.51, "end": 1189.99, "word": " not", "probability": 0.89013671875}, {"start": 1189.99, "end": 1190.31, "word": " upside", "probability": 0.2230224609375}, {"start": 1190.31, "end": 1190.41, "word": " down,", "probability": 0.8076171875}, {"start": 1190.59, "end": 1190.73, "word": " it's", "probability": 0.6461181640625}, {"start": 1190.73, "end": 1190.75, "word": " not", "probability": 0.732421875}, {"start": 1190.75, "end": 1191.07, "word": " upside", "probability": 0.8193359375}, {"start": 1191.07, "end": 1191.23, "word": " down,", "probability": 0.8544921875}, {"start": 1191.67, "end": 1191.79, "word": " and", "probability": 0.8544921875}, {"start": 1191.79, "end": 1192.07, "word": " it's", "probability": 0.5894775390625}, {"start": 1192.07, "end": 1192.17, "word": " half", "probability": 0.3974609375}, {"start": 1192.17, "end": 1192.55, "word": " height,", "probability": 0.427001953125}, {"start": 1192.83, "end": 1193.07, "word": " so", "probability": 0.2362060546875}, {"start": 1193.07, "end": 1193.43, "word": " if", "probability": 0.8427734375}, {"start": 1193.43, "end": 1193.51, "word": " it's", "probability": 0.831787109375}, {"start": 1193.51, "end": 1194.17, "word": " 10", "probability": 0.6201171875}, {"start": 1194.17, "end": 1194.81, "word": " centimeters", "probability": 0.323486328125}, {"start": 1194.81, "end": 1194.81, "word": " high,", "probability": 0.509765625}, {"start": 1195.23, "end": 1195.37, "word": " the", "probability": 0.380126953125}, {"start": 1195.37, "end": 1195.59, "word": " height", "probability": 0.6884765625}, {"start": 1195.59, "end": 1195.83, "word": " of", "probability": 0.96630859375}, {"start": 1195.83, "end": 1195.89, "word": " this", "probability": 0.8740234375}, {"start": 1195.89, "end": 1196.11, "word": " picture", "probability": 0.8203125}, {"start": 1196.11, "end": 1196.61, "word": " is", "probability": 0.9296875}, {"start": 1196.61, "end": 1196.93, "word": " 5", "probability": 0.826171875}, {"start": 1196.93, "end": 1197.93, "word": " centimeters,", "probability": 0.84765625}, {"start": 1198.11, "end": 1198.55, "word": " 5", "probability": 0.76513671875}, {"start": 1198.55, "end": 1199.43, "word": " centimeters,", "probability": 0.90234375}, {"start": 1199.47, "end": 1199.73, "word": " so", "probability": 0.81201171875}, {"start": 1199.73, "end": 1200.49, "word": " this", "probability": 0.389404296875}, {"start": 1200.49, "end": 1200.61, "word": " is", "probability": 0.826171875}, {"start": 1200.61, "end": 1200.85, "word": " how", "probability": 0.86865234375}, {"start": 1200.85, "end": 1201.11, "word": " the", "probability": 0.74609375}, {"start": 1201.11, "end": 1201.35, "word": " problem", "probability": 0.27978515625}, {"start": 1201.35, "end": 1201.35, "word": " was", "probability": 0.43505859375}, {"start": 1201.35, "end": 1201.35, "word": " solved,", "probability": 0.50341796875}, {"start": 1201.49, "end": 1201.63, "word": " this", "probability": 0.853515625}, {"start": 1201.63, "end": 1201.69, "word": " is", "probability": 0.90478515625}, {"start": 1201.69, "end": 1201.79, "word": " the", "probability": 0.91650390625}, {"start": 1201.79, "end": 1202.27, "word": " final", "probability": 0.7412109375}, {"start": 1202.27, "end": 1202.55, "word": " picture", "probability": 0.78173828125}, {"start": 1202.55, "end": 1203.05, "word": " of", "probability": 0.8447265625}, {"start": 1203.05, "end": 1203.23, "word": " the", "probability": 0.8759765625}, {"start": 1203.23, "end": 1203.89, "word": " third", "probability": 0.900390625}, {"start": 1203.89, "end": 1203.89, "word": " lens,", "probability": 0.84912109375}, {"start": 1204.01, "end": 1204.17, "word": " this", "probability": 0.7841796875}, {"start": 1204.17, "end": 1204.27, "word": " is", "probability": 0.802734375}, {"start": 1204.27, "end": 1204.51, "word": " picture", "probability": 0.5888671875}, {"start": 1204.51, "end": 1204.77, "word": " number", "probability": 0.85595703125}, {"start": 1204.77, "end": 1205.23, "word": " two,", "probability": 0.48095703125}, {"start": 1205.81, "end": 1205.95, "word": " which", "probability": 0.90673828125}, {"start": 1205.95, "end": 1206.01, "word": " we", "probability": 0.62646484375}, {"start": 1206.01, "end": 1206.45, "word": " considered", "probability": 0.74267578125}, {"start": 1206.45, "end": 1206.69, "word": " the", "probability": 0.355224609375}, {"start": 1206.69, "end": 1207.01, "word": " virtual", "probability": 0.8203125}, {"start": 1207.01, "end": 1207.61, "word": " object", "probability": 0.96435546875}, {"start": 1207.61, "end": 1207.81, "word": " of", "probability": 0.86279296875}, {"start": 1207.81, "end": 1207.89, "word": " the", "probability": 0.57275390625}, {"start": 1207.89, "end": 1208.47, "word": " third", "probability": 0.73046875}, {"start": 1208.47, "end": 1208.93, "word": " lens,", "probability": 0.9228515625}, {"start": 1208.93, "end": 1209.79, "word": " now", "probability": 0.8076171875}, {"start": 1209.79, "end": 1210.09, "word": " let's", "probability": 0.6356201171875}, {"start": 1210.09, "end": 1210.39, "word": " discover", "probability": 0.328369140625}], "temperature": 1.0}, {"id": 45, "seek": 123414, "start": 1211.0, "end": 1234.14, "text": "before we get the total transfers magnification that's how the solution is arranged and there is no problem in it we keep getting the total transfers magnification which is total Tm equals Tm1 which is plus two plus two times", "tokens": [45301, 321, 483, 264, 3217, 29137, 4944, 3774, 300, 311, 577, 264, 3827, 307, 18721, 293, 456, 307, 572, 1154, 294, 309, 321, 1066, 1242, 264, 3217, 29137, 4944, 3774, 597, 307, 3217, 314, 76, 6915, 314, 76, 16, 597, 307, 1804, 732, 1804, 732, 1413], "avg_logprob": -0.4810505357194454, "compression_ratio": 1.7045454545454546, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 1211.0, "end": 1211.38, "word": "before", "probability": 0.33837890625}, {"start": 1211.38, "end": 1211.66, "word": " we", "probability": 0.564453125}, {"start": 1211.66, "end": 1211.94, "word": " get", "probability": 0.61328125}, {"start": 1211.94, "end": 1212.2, "word": " the", "probability": 0.47802734375}, {"start": 1212.2, "end": 1212.56, "word": " total", "probability": 0.6826171875}, {"start": 1212.56, "end": 1213.22, "word": " transfers", "probability": 0.469970703125}, {"start": 1213.22, "end": 1213.94, "word": " magnification", "probability": 0.947509765625}, {"start": 1213.94, "end": 1214.2, "word": " that's", "probability": 0.451904296875}, {"start": 1214.2, "end": 1214.28, "word": " how", "probability": 0.38916015625}, {"start": 1214.28, "end": 1214.36, "word": " the", "probability": 0.316162109375}, {"start": 1214.36, "end": 1214.6, "word": " solution", "probability": 0.68017578125}, {"start": 1214.6, "end": 1214.74, "word": " is", "probability": 0.7666015625}, {"start": 1214.74, "end": 1214.96, "word": " arranged", "probability": 0.291015625}, {"start": 1214.96, "end": 1215.18, "word": " and", "probability": 0.476318359375}, {"start": 1215.18, "end": 1215.34, "word": " there", "probability": 0.81298828125}, {"start": 1215.34, "end": 1215.44, "word": " is", "probability": 0.67333984375}, {"start": 1215.44, "end": 1215.62, "word": " no", "probability": 0.9365234375}, {"start": 1215.62, "end": 1216.04, "word": " problem", "probability": 0.81884765625}, {"start": 1216.04, "end": 1216.66, "word": " in", "probability": 0.4970703125}, {"start": 1216.66, "end": 1216.8, "word": " it", "probability": 0.81591796875}, {"start": 1216.8, "end": 1217.06, "word": " we", "probability": 0.38330078125}, {"start": 1217.06, "end": 1217.06, "word": " keep", "probability": 0.2384033203125}, {"start": 1217.06, "end": 1217.54, "word": " getting", "probability": 0.71044921875}, {"start": 1217.54, "end": 1217.76, "word": " the", "probability": 0.76025390625}, {"start": 1217.76, "end": 1218.2, "word": " total", "probability": 0.87548828125}, {"start": 1218.2, "end": 1218.82, "word": " transfers", "probability": 0.7529296875}, {"start": 1218.82, "end": 1219.68, "word": " magnification", "probability": 0.970458984375}, {"start": 1219.68, "end": 1221.34, "word": " which", "probability": 0.82421875}, {"start": 1221.34, "end": 1221.48, "word": " is", "probability": 0.935546875}, {"start": 1221.48, "end": 1222.02, "word": " total", "probability": 0.470947265625}, {"start": 1222.02, "end": 1224.1, "word": " Tm", "probability": 0.44696044921875}, {"start": 1224.1, "end": 1226.12, "word": " equals", "probability": 0.484375}, {"start": 1226.12, "end": 1227.98, "word": " Tm1", "probability": 0.8001302083333334}, {"start": 1227.98, "end": 1228.16, "word": " which", "probability": 0.7646484375}, {"start": 1228.16, "end": 1228.28, "word": " is", "probability": 0.8984375}, {"start": 1228.28, "end": 1228.58, "word": " plus", "probability": 0.78369140625}, {"start": 1228.58, "end": 1229.04, "word": " two", "probability": 0.476318359375}, {"start": 1229.04, "end": 1233.26, "word": " plus", "probability": 0.61328125}, {"start": 1233.26, "end": 1234.14, "word": " two", "probability": 0.94384765625}, {"start": 1234.14, "end": 1234.14, "word": " times", "probability": 0.321533203125}], "temperature": 1.0}, {"id": 46, "seek": 126246, "start": 1239.02, "end": 1262.46, "text": "tm2 minus half times tm3 which is plus half plus half equals", "tokens": [83, 76, 17, 3175, 1922, 1413, 256, 76, 18, 597, 307, 1804, 1922, 1804, 1922, 6915], "avg_logprob": -0.4329044117647059, "compression_ratio": 1.1320754716981132, "no_speech_prob": 0.0, "words": [{"start": 1239.02, "end": 1240.16, "word": "tm2", "probability": 0.669677734375}, {"start": 1240.16, "end": 1240.64, "word": " minus", "probability": 0.5654296875}, {"start": 1240.64, "end": 1241.24, "word": " half", "probability": 0.658203125}, {"start": 1241.24, "end": 1248.14, "word": " times", "probability": 0.175537109375}, {"start": 1248.14, "end": 1255.16, "word": " tm3", "probability": 0.82763671875}, {"start": 1255.16, "end": 1255.34, "word": " which", "probability": 0.5380859375}, {"start": 1255.34, "end": 1255.54, "word": " is", "probability": 0.8984375}, {"start": 1255.54, "end": 1255.96, "word": " plus", "probability": 0.88427734375}, {"start": 1255.96, "end": 1256.4, "word": " half", "probability": 0.85986328125}, {"start": 1256.4, "end": 1256.94, "word": " plus", "probability": 0.440185546875}, {"start": 1256.94, "end": 1258.76, "word": " half", "probability": 0.87939453125}, {"start": 1258.76, "end": 1262.46, "word": " equals", "probability": 0.67138671875}], "temperature": 1.0}, {"id": 47, "seek": 128909, "start": 1264.36, "end": 1289.1, "text": "Of course, plus in minus in plus, minus, in the end minus Let's put an x sign, minus, the picture is upside down, the final picture for the primary first body is upside down, minus Okay, two in half in one, and one in half in half, x minus half", "tokens": [23919, 1164, 11, 1804, 294, 3175, 294, 1804, 11, 3175, 11, 294, 264, 917, 3175, 961, 311, 829, 364, 2031, 1465, 11, 3175, 11, 264, 3036, 307, 14119, 760, 11, 264, 2572, 3036, 337, 264, 6194, 700, 1772, 307, 14119, 760, 11, 3175, 1033, 11, 732, 294, 1922, 294, 472, 11, 293, 472, 294, 1922, 294, 1922, 11, 2031, 3175, 1922], "avg_logprob": -0.45539315573630795, "compression_ratio": 1.7183098591549295, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 1264.36, "end": 1264.66, "word": "Of", "probability": 0.2347412109375}, {"start": 1264.66, "end": 1264.84, "word": " course,", "probability": 0.9091796875}, {"start": 1265.22, "end": 1265.66, "word": " plus", "probability": 0.6279296875}, {"start": 1265.66, "end": 1266.18, "word": " in", "probability": 0.6796875}, {"start": 1266.18, "end": 1266.68, "word": " minus", "probability": 0.958984375}, {"start": 1266.68, "end": 1267.12, "word": " in", "probability": 0.83544921875}, {"start": 1267.12, "end": 1267.6, "word": " plus,", "probability": 0.9462890625}, {"start": 1268.46, "end": 1268.88, "word": " minus,", "probability": 0.9140625}, {"start": 1269.08, "end": 1269.2, "word": " in", "probability": 0.359130859375}, {"start": 1269.2, "end": 1269.36, "word": " the", "probability": 0.87841796875}, {"start": 1269.36, "end": 1269.44, "word": " end", "probability": 0.947265625}, {"start": 1269.44, "end": 1269.98, "word": " minus", "probability": 0.66015625}, {"start": 1269.98, "end": 1271.46, "word": " Let's", "probability": 0.5831298828125}, {"start": 1271.46, "end": 1271.68, "word": " put", "probability": 0.779296875}, {"start": 1271.68, "end": 1271.78, "word": " an", "probability": 0.2100830078125}, {"start": 1271.78, "end": 1271.82, "word": " x", "probability": 0.55712890625}, {"start": 1271.82, "end": 1272.04, "word": " sign,", "probability": 0.53759765625}, {"start": 1272.98, "end": 1273.82, "word": " minus,", "probability": 0.9482421875}, {"start": 1273.94, "end": 1274.1, "word": " the", "probability": 0.701171875}, {"start": 1274.1, "end": 1274.32, "word": " picture", "probability": 0.35107421875}, {"start": 1274.32, "end": 1274.44, "word": " is", "probability": 0.8583984375}, {"start": 1274.44, "end": 1274.64, "word": " upside", "probability": 0.08221435546875}, {"start": 1274.64, "end": 1274.76, "word": " down,", "probability": 0.81494140625}, {"start": 1274.86, "end": 1274.92, "word": " the", "probability": 0.84912109375}, {"start": 1274.92, "end": 1275.46, "word": " final", "probability": 0.6240234375}, {"start": 1275.46, "end": 1275.82, "word": " picture", "probability": 0.76171875}, {"start": 1275.82, "end": 1277.24, "word": " for", "probability": 0.420166015625}, {"start": 1277.24, "end": 1277.84, "word": " the", "probability": 0.9150390625}, {"start": 1277.84, "end": 1278.0, "word": " primary", "probability": 0.484619140625}, {"start": 1278.0, "end": 1278.58, "word": " first", "probability": 0.345947265625}, {"start": 1278.58, "end": 1279.24, "word": " body", "probability": 0.720703125}, {"start": 1279.24, "end": 1279.52, "word": " is", "probability": 0.81884765625}, {"start": 1279.52, "end": 1279.72, "word": " upside", "probability": 0.65576171875}, {"start": 1279.72, "end": 1280.32, "word": " down,", "probability": 0.87109375}, {"start": 1280.48, "end": 1280.88, "word": " minus", "probability": 0.98291015625}, {"start": 1280.88, "end": 1281.64, "word": " Okay,", "probability": 0.2384033203125}, {"start": 1282.1, "end": 1282.54, "word": " two", "probability": 0.86279296875}, {"start": 1282.54, "end": 1282.74, "word": " in", "probability": 0.853515625}, {"start": 1282.74, "end": 1283.08, "word": " half", "probability": 0.412841796875}, {"start": 1283.08, "end": 1283.4, "word": " in", "probability": 0.69580078125}, {"start": 1283.4, "end": 1283.84, "word": " one,", "probability": 0.9541015625}, {"start": 1284.04, "end": 1284.26, "word": " and", "probability": 0.6240234375}, {"start": 1284.26, "end": 1284.56, "word": " one", "probability": 0.94384765625}, {"start": 1284.56, "end": 1284.82, "word": " in", "probability": 0.85986328125}, {"start": 1284.82, "end": 1285.18, "word": " half", "probability": 0.83056640625}, {"start": 1285.18, "end": 1286.08, "word": " in", "probability": 0.8583984375}, {"start": 1286.08, "end": 1286.4, "word": " half,", "probability": 0.80517578125}, {"start": 1287.76, "end": 1288.08, "word": " x", "probability": 0.96826171875}, {"start": 1288.08, "end": 1288.48, "word": " minus", "probability": 0.97265625}, {"start": 1288.48, "end": 1289.1, "word": " half", "probability": 0.79052734375}], "temperature": 1.0}, {"id": 48, "seek": 131072, "start": 1290.92, "end": 1310.72, "text": "هدا هو التكبير النهائي، إذا الصورة النهائية بالنسبة للجسم الأول، الصورة النهائية بالنسبة للجسم الأول مجلوبة وجات نصف، وجات نصف، هيك بتنتهي المسألة، طبعا فيها virtual image اللي هي الصورة الأولى، virtual image", "tokens": [3224, 28259, 31439, 16712, 4117, 3555, 13546, 28239, 3224, 16373, 1829, 12399, 11933, 15730, 31767, 13063, 3660, 28239, 3224, 16373, 10632, 20666, 1863, 35457, 3660, 24976, 7435, 38251, 16247, 12610, 12399, 31767, 13063, 3660, 28239, 3224, 16373, 10632, 20666, 1863, 35457, 3660, 24976, 7435, 38251, 16247, 12610, 3714, 7435, 1211, 37746, 3660, 49610, 9307, 8717, 9381, 5172, 12399, 49610, 9307, 8717, 9381, 5172, 12399, 39896, 4117, 39894, 29399, 3224, 1829, 9673, 3794, 10721, 37977, 12399, 23032, 3555, 3615, 995, 8978, 11296, 6374, 3256, 13672, 1829, 39896, 31767, 13063, 3660, 16247, 12610, 7578, 12399, 6374, 3256], "avg_logprob": -0.11393229205471773, "compression_ratio": 2.0689655172413794, "no_speech_prob": 1.6689300537109375e-06, "words": [{"start": 1290.92, "end": 1291.28, "word": "هدا", "probability": 0.41943359375}, {"start": 1291.28, "end": 1291.44, "word": " هو", "probability": 0.97607421875}, {"start": 1291.44, "end": 1291.96, "word": " التكبير", "probability": 0.978271484375}, {"start": 1291.96, "end": 1292.46, "word": " النهائي،", "probability": 0.87607421875}, {"start": 1292.46, "end": 1292.56, "word": " إذا", "probability": 0.70458984375}, {"start": 1292.56, "end": 1293.02, "word": " الصورة", "probability": 0.982421875}, {"start": 1293.02, "end": 1293.64, "word": " النهائية", "probability": 0.9864501953125}, {"start": 1293.64, "end": 1294.22, "word": " بالنسبة", "probability": 0.9776611328125}, {"start": 1294.22, "end": 1294.72, "word": " للجسم", "probability": 0.91650390625}, {"start": 1294.72, "end": 1296.36, "word": " الأول،", "probability": 0.8265787760416666}, {"start": 1296.36, "end": 1297.0, "word": " الصورة", "probability": 0.9680989583333334}, {"start": 1297.0, "end": 1297.52, "word": " النهائية", "probability": 0.9949951171875}, {"start": 1297.52, "end": 1298.04, "word": " بالنسبة", "probability": 0.9981689453125}, {"start": 1298.04, "end": 1298.54, "word": " للجسم", "probability": 0.9737955729166666}, {"start": 1298.54, "end": 1299.12, "word": " الأول", "probability": 0.99462890625}, {"start": 1299.12, "end": 1301.82, "word": " مجلوبة", "probability": 0.91201171875}, {"start": 1301.82, "end": 1302.72, "word": " وجات", "probability": 0.633056640625}, {"start": 1302.72, "end": 1303.28, "word": " نصف،", "probability": 0.7938232421875}, {"start": 1303.28, "end": 1303.68, "word": " وجات", "probability": 0.89208984375}, {"start": 1303.68, "end": 1304.58, "word": " نصف،", "probability": 0.96044921875}, {"start": 1304.58, "end": 1304.88, "word": " هيك", "probability": 0.843505859375}, {"start": 1304.88, "end": 1305.26, "word": " بتنتهي", "probability": 0.92919921875}, {"start": 1305.26, "end": 1306.36, "word": " المسألة،", "probability": 0.90830078125}, {"start": 1306.36, "end": 1306.72, "word": " طبعا", "probability": 0.9920654296875}, {"start": 1306.72, "end": 1307.16, "word": " فيها", "probability": 0.93701171875}, {"start": 1307.16, "end": 1307.54, "word": " virtual", "probability": 0.8525390625}, {"start": 1307.54, "end": 1307.98, "word": " image", "probability": 0.966796875}, {"start": 1307.98, "end": 1308.14, "word": " اللي", "probability": 0.837646484375}, {"start": 1308.14, "end": 1308.22, "word": " هي", "probability": 0.91650390625}, {"start": 1308.22, "end": 1308.62, "word": " الصورة", "probability": 0.99267578125}, {"start": 1308.62, "end": 1309.68, "word": " الأولى،", "probability": 0.9564208984375}, {"start": 1309.68, "end": 1310.12, "word": " virtual", "probability": 0.923828125}, {"start": 1310.12, "end": 1310.72, "word": " image", "probability": 0.94873046875}], "temperature": 1.0}, {"id": 49, "seek": 132910, "start": 1311.84, "end": 1329.1, "text": "وفيها virtual object اللي هي الصورة التانية الصورة الأولى virtual image الصورة التانية تعتبر virtual object للعدسة التالتة وهيك بتنتهي المسألة ويعطيكم العافية والسلام عليكم ورحمة الله وبركاته", "tokens": [2407, 41185, 11296, 6374, 2657, 13672, 1829, 39896, 31767, 13063, 3660, 16712, 7649, 10632, 31767, 13063, 3660, 16247, 12610, 7578, 6374, 3256, 31767, 13063, 3660, 16712, 7649, 10632, 6055, 34268, 26890, 6374, 2657, 24976, 22488, 3794, 3660, 16712, 6027, 2655, 3660, 37037, 1829, 4117, 39894, 29399, 3224, 1829, 9673, 3794, 10721, 37977, 4032, 40228, 9566, 1829, 24793, 18863, 31845, 10632, 16070, 3794, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224], "avg_logprob": -0.13877467105263158, "compression_ratio": 1.8430232558139534, "no_speech_prob": 7.271766662597656e-06, "words": [{"start": 1311.8400000000001, "end": 1312.9, "word": "وفيها", "probability": 0.6009114583333334}, {"start": 1312.9, "end": 1313.44, "word": " virtual", "probability": 0.80517578125}, {"start": 1313.44, "end": 1314.2, "word": " object", "probability": 0.96435546875}, {"start": 1314.2, "end": 1314.4, "word": " اللي", "probability": 0.841552734375}, {"start": 1314.4, "end": 1314.52, "word": " هي", "probability": 0.83642578125}, {"start": 1314.52, "end": 1314.98, "word": " الصورة", "probability": 0.9835611979166666}, {"start": 1314.98, "end": 1315.42, "word": " التانية", "probability": 0.974609375}, {"start": 1315.42, "end": 1316.5, "word": " الصورة", "probability": 0.7091064453125}, {"start": 1316.5, "end": 1316.8, "word": " الأولى", "probability": 0.9807942708333334}, {"start": 1316.8, "end": 1317.2, "word": " virtual", "probability": 0.7939453125}, {"start": 1317.2, "end": 1317.84, "word": " image", "probability": 0.9609375}, {"start": 1317.84, "end": 1318.92, "word": " الصورة", "probability": 0.9300130208333334}, {"start": 1318.92, "end": 1319.28, "word": " التانية", "probability": 0.9816080729166666}, {"start": 1319.28, "end": 1319.86, "word": " تعتبر", "probability": 0.9580078125}, {"start": 1319.86, "end": 1320.34, "word": " virtual", "probability": 0.93310546875}, {"start": 1320.34, "end": 1320.92, "word": " object", "probability": 0.99365234375}, {"start": 1320.92, "end": 1321.68, "word": " للعدسة", "probability": 0.86181640625}, {"start": 1321.68, "end": 1323.12, "word": " التالتة", "probability": 0.9354248046875}, {"start": 1323.12, "end": 1324.08, "word": " وهيك", "probability": 0.70556640625}, {"start": 1324.08, "end": 1324.68, "word": " بتنتهي", "probability": 0.8843994140625}, {"start": 1324.68, "end": 1325.2, "word": " المسألة", "probability": 0.95458984375}, {"start": 1325.2, "end": 1325.74, "word": " ويعطيكم", "probability": 0.9173828125}, {"start": 1325.74, "end": 1326.26, "word": " العافية", "probability": 0.97119140625}, {"start": 1326.26, "end": 1326.72, "word": " والسلام", "probability": 0.86962890625}, {"start": 1326.72, "end": 1327.22, "word": " عليكم", "probability": 0.95556640625}, {"start": 1327.22, "end": 1327.66, "word": " ورحمة", "probability": 0.9874267578125}, {"start": 1327.66, "end": 1328.0, "word": " الله", "probability": 0.97021484375}, {"start": 1328.0, "end": 1329.1, "word": " وبركاته", "probability": 0.98251953125}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 1329.551375, "duration_after_vad": 1148.1949999999997}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/I56VffKvb88_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/I56VffKvb88_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e448c16455a096bcc4b92770ec997f8a60ca5fad
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/I56VffKvb88_postprocess.srt
@@ -0,0 +1,1760 @@
+1
+00:00:01,550 --> 00:00:04,970
+بسم الله الرحمن الرحيم بنواصل محادرات الـ
+
+2
+00:00:04,970 --> 00:00:08,310
+Geometric Optics ووصلنا لموضوع Stigmatic Imaging
+
+3
+00:00:08,310 --> 00:00:13,310
+Using Single Refracting Surface يعني الحصول على
+
+4
+00:00:13,310 --> 00:00:17,710
+Stigmatic Image صورة طبق الأصل أو صورة يعني غاية
+
+5
+00:00:17,710 --> 00:00:21,830
+في ال quality وغاية في الدقة وصورة طبق الأصل
+
+6
+00:00:21,830 --> 00:00:25,850
+باستعمال Single Refracting Surface يعني سطح واحد
+
+7
+00:00:25,850 --> 00:00:33,610
+فاصل بين مادتين By the early 1600s
+
+8
+00:00:33,610 --> 00:00:38,190
+century, the telescope and microscope had been
+
+9
+00:00:38,190 --> 00:00:38,690
+invented.
+
+10
+00:00:47,590 --> 00:00:50,630
+Although the images produced by early devices were
+
+11
+00:00:50,630 --> 00:00:53,730
+useful, their quality was not very high because
+
+12
+00:00:53,730 --> 00:00:57,700
+the lenses did not focus stigmatically.طبعا لما تم
+
+13
+00:00:57,700 --> 00:01:01,040
+اختراع ال telescope و ال microscope الصور اللي
+
+14
+00:01:01,040 --> 00:01:05,380
+كانت تعطيها هذه الأجهزة اللي هو في بداية اختراعها
+
+15
+00:01:05,380 --> 00:01:10,160
+كانت صور بنطلق عليها انها صور useful useful يعني
+
+16
+00:01:10,160 --> 00:01:17,180
+بتمشي الحالOr useful in a way, but the quality of
+
+17
+00:01:17,180 --> 00:01:21,220
+these pictures was not high enough Why? Because
+
+18
+00:01:21,220 --> 00:01:26,500
+the lenses used in making the telescope and the
+
+19
+00:01:26,500 --> 00:01:31,860
+microscope at that time did not focus or focus the
+
+20
+00:01:31,860 --> 00:01:35,240
+rays in a stigmatic way In other words, the
+
+21
+00:01:35,240 --> 00:01:37,340
+pictures of the points of the object were not just
+
+22
+00:01:37,340 --> 00:01:41,770
+pointsrather than point spread function and the
+
+23
+00:01:41,770 --> 00:01:45,030
+quality was not high. Do you know what is the
+
+24
+00:01:45,030 --> 00:01:48,510
+reason for this issue? At the time, lens makers
+
+25
+00:01:48,510 --> 00:01:52,130
+were not very particular about the shape of the
+
+26
+00:01:52,130 --> 00:01:55,570
+surfaces that were ground on the lens. I mean,
+
+27
+00:01:56,990 --> 00:02:02,770
+when the lens makers at that timethey didn't care
+
+28
+00:02:02,770 --> 00:02:05,790
+much about the mechanical shape of the surface of
+
+29
+00:02:05,790 --> 00:02:10,590
+the glass, whether it's oval, spherical, or curved
+
+30
+00:02:10,590 --> 00:02:15,310
+in a certain way, but rather they cared more about
+
+31
+00:02:15,310 --> 00:02:16,870
+the smoothness of the surface, there's a
+
+32
+00:02:16,870 --> 00:02:19,460
+difference between having a polished surfacehe
+
+33
+00:02:19,460 --> 00:02:23,820
+polished it well and made sure that it has a
+
+34
+00:02:23,820 --> 00:02:27,300
+certain mechanical shape, egg-shaped, ball-shaped,
+
+35
+00:02:28,000 --> 00:02:33,080
+etc. So, the lenses manufacturers at that time
+
+36
+00:02:33,080 --> 00:02:36,580
+were not interested in this topic, but they
+
+37
+00:02:36,580 --> 00:02:39,780
+thoughtOr they had a principle that any curved
+
+38
+00:02:39,780 --> 00:02:46,060
+surface could give them an image It seemed that
+
+39
+00:02:46,060 --> 00:02:49,940
+any curved surface produced an image It's true
+
+40
+00:02:49,940 --> 00:02:56,840
+that any curved surface of glassHe can give me a
+
+41
+00:02:56,840 --> 00:02:59,400
+picture, why can he give me a picture? Because the
+
+42
+00:02:59,400 --> 00:03:01,820
+light when it falls from the air to penetrate this
+
+43
+00:03:01,820 --> 00:03:05,060
+curved surface, even if it is a curved and
+
+44
+00:03:05,060 --> 00:03:07,740
+irregular surface in its curvature, part of the
+
+45
+00:03:07,740 --> 00:03:10,960
+light that fell from the air towards the glass
+
+46
+00:03:10,960 --> 00:03:14,260
+will reflect towards the eye of the person looking
+
+47
+00:03:14,260 --> 00:03:16,880
+at the view, and therefore he will see a picture,
+
+48
+00:03:16,960 --> 00:03:19,800
+but the quality of this picture will of course be
+
+49
+00:03:19,800 --> 00:03:24,010
+low, it will be lowIt seemed that any curved
+
+50
+00:03:24,010 --> 00:03:28,390
+surface produced an image, so lens surfaces were
+
+51
+00:03:28,390 --> 00:03:32,330
+carefully polished but haphazardly shaped عشان هيك
+
+52
+00:03:32,330 --> 00:03:35,430
+هما ماكانوش مهتمين بالشكل إنما كانوا مهتمين بال
+
+53
+00:03:35,430 --> 00:03:38,870
+polishing يعني عملية التنعيم للسطح المهم إنه يكون
+
+54
+00:03:38,870 --> 00:03:44,240
+سطح منحني و خلاص حتى لو كان انحناقه مش منتظمSo,
+
+55
+00:03:44,600 --> 00:03:48,000
+they were not asking about the shape, so any shape
+
+56
+00:03:48,000 --> 00:03:50,140
+that came up with them, they would reject it and
+
+57
+00:03:50,140 --> 00:03:52,460
+they would just say yes to this surface and that's
+
+58
+00:03:52,460 --> 00:03:57,220
+it However, as ideas such as stigmatic imaging and
+
+59
+00:03:57,220 --> 00:04:00,780
+Snell's law developed, it became clear that the
+
+60
+00:04:00,780 --> 00:04:04,180
+shape of the lens surfaces determined the quality
+
+61
+00:04:04,180 --> 00:04:08,220
+of the image As soon as it startedThe ideas of
+
+62
+00:04:08,220 --> 00:04:11,780
+scientists are aimed at getting stigmatic imaging,
+
+63
+00:04:12,340 --> 00:04:15,140
+to get the original image and improve the quality
+
+64
+00:04:15,140 --> 00:04:18,500
+of the image, and as soon as they discovered the
+
+65
+00:04:18,500 --> 00:04:21,380
+law of contraction, which is Snell's law, it
+
+66
+00:04:21,380 --> 00:04:23,680
+became that there are two new things in the
+
+67
+00:04:23,680 --> 00:04:26,380
+scientific community at that time, the idea that
+
+68
+00:04:26,380 --> 00:04:30,010
+we want to get stigmatic imagingAnd another thing
+
+69
+00:04:30,010 --> 00:04:33,390
+is that when the law of friction was proven and
+
+70
+00:04:33,390 --> 00:04:36,850
+proved by the scientist Snell, it became clear
+
+71
+00:04:36,850 --> 00:04:39,950
+that the shape of the lens surfaces determines the
+
+72
+00:04:39,950 --> 00:04:43,490
+quality of the image. It became clear that not
+
+73
+00:04:43,490 --> 00:04:46,730
+only polishing is what is necessary, but what is
+
+74
+00:04:46,730 --> 00:04:52,530
+more important than polishing is that it must have
+
+75
+00:04:52,530 --> 00:04:55,410
+a specific shape because there are certain shapes
+
+76
+00:04:56,200 --> 00:05:00,000
+It produces image quality much higher than other
+
+77
+00:05:00,000 --> 00:05:03,020
+forms, so the shape or shape or the nature of the
+
+78
+00:05:03,020 --> 00:05:06,900
+curve, whether it's curved, oval, curved, whether
+
+79
+00:05:06,900 --> 00:05:08,940
+it's like this, whether it's like that, became
+
+80
+00:05:08,940 --> 00:05:12,620
+that it has a great importance in image quality
+
+81
+00:05:12,620 --> 00:05:16,880
+and improving image qualityIn the 17th century,
+
+82
+00:05:18,300 --> 00:05:22,220
+lens makers began to carefully shape the lens
+
+83
+00:05:22,220 --> 00:05:25,700
+surface in order to improve image quality. In
+
+84
+00:05:25,700 --> 00:05:28,320
+addition to what they used to do before, from
+
+85
+00:05:28,320 --> 00:05:33,640
+perfectly smoothing the surface of the lens at the
+
+86
+00:05:33,640 --> 00:05:39,280
+beginning of the 17th century and towards the end
+
+87
+00:05:39,280 --> 00:05:44,020
+of theThe manufacturers of lenses started to make
+
+88
+00:05:44,020 --> 00:05:50,820
+specific shapes for the lens surface to give me or
+
+89
+00:05:50,820 --> 00:05:55,840
+improve my image quality Now they had a very
+
+90
+00:05:55,840 --> 00:05:59,620
+simple and very important question The following
+
+91
+00:05:59,620 --> 00:06:03,740
+question arose I had a question What service
+
+92
+00:06:03,740 --> 00:06:07,360
+produces the best image? Now it is agreed that we
+
+93
+00:06:07,360 --> 00:06:12,140
+..There are ideas that the shape of the lens, the
+
+94
+00:06:12,140 --> 00:06:15,540
+mechanical shape of the surface of the lens is
+
+95
+00:06:15,540 --> 00:06:17,840
+very important in the subject of image quality
+
+96
+00:06:17,840 --> 00:06:22,460
+Well, you see, any mechanical shape is the best
+
+97
+00:06:22,460 --> 00:06:26,800
+and will produce the best image quality, the best
+
+98
+00:06:26,800 --> 00:06:30,640
+image qualityThe scientist Descartes came at that
+
+99
+00:06:30,640 --> 00:06:34,700
+time and applied the Fermat principle to the
+
+100
+00:06:34,700 --> 00:06:38,420
+simplest situation possible, a single refracting
+
+101
+00:06:38,420 --> 00:06:42,380
+surface The scientist Descartes, René Descartes,
+
+102
+00:06:42,820 --> 00:06:45,340
+applied the Fermat principle, the principle of
+
+103
+00:06:45,340 --> 00:06:47,600
+Fermat that we talked about in previous lectures,
+
+104
+00:06:48,520 --> 00:06:52,720
+to the simplest subject or the simplest lens,
+
+105
+00:06:52,940 --> 00:06:56,100
+let's say, or the simplest flat surface for light
+
+106
+00:06:56,100 --> 00:06:59,950
+What is the simplest surface?single refracting
+
+107
+00:06:59,950 --> 00:07:03,070
+service single refracting service كيف يعني single
+
+108
+00:07:03,070 --> 00:07:09,370
+refracting service لو اجينا احنا نظرنا للمنظر اللي
+
+109
+00:07:09,370 --> 00:07:14,710
+انا بده العدسة هلها دي أبسط شئ لأ ليش لإن انا
+
+110
+00:07:14,710 --> 00:07:18,630
+مكورة من سطحين سطح أمامي و سطح خالفي فDescartes
+
+111
+00:07:18,630 --> 00:07:22,510
+قال لأ احنا بدنا نختارrefracting service should
+
+112
+00:07:22,510 --> 00:07:25,550
+consist of one service only, there is no other,
+
+113
+00:07:25,770 --> 00:07:27,970
+there is no such thing as a front surface and a
+
+114
+00:07:27,970 --> 00:07:30,250
+back surface and we want to get the simplest
+
+115
+00:07:30,250 --> 00:07:34,930
+object which is single or single object point,
+
+116
+00:07:35,010 --> 00:07:39,350
+single object point, therefore simplest ..
+
+117
+00:07:39,350 --> 00:07:44,910
+simplest ..A camera is a single refracting service
+
+118
+00:07:44,910 --> 00:07:49,170
+and what we mean by that is a glass rod I'm not
+
+119
+00:07:49,170 --> 00:07:52,630
+drawing a full glass rod here, but I'm drawing the
+
+120
+00:07:52,630 --> 00:07:54,670
+part that we're going to use in the formation of a
+
+121
+00:07:54,670 --> 00:07:57,130
+picture This is a single refracting service and
+
+122
+00:07:57,130 --> 00:07:59,950
+this is an object pointThe light spread from it in
+
+123
+00:07:59,950 --> 00:08:04,750
+all directions. Part of this light entered the
+
+124
+00:08:04,750 --> 00:08:07,590
+single refracting surface, penetrated the glass
+
+125
+00:08:07,590 --> 00:08:10,910
+and formed a picture inside the glass. This is the
+
+126
+00:08:10,910 --> 00:08:13,250
+simplest camera possible. There can be nothing
+
+127
+00:08:13,250 --> 00:08:15,590
+simpler than that. There can be nothing simpler
+
+128
+00:08:15,590 --> 00:08:17,970
+than that when it comes to the transition of light
+
+129
+00:08:17,970 --> 00:08:20,690
+from one substance to another that differs from it
+
+130
+00:08:20,690 --> 00:08:24,050
+in the refractive index. So
+
+131
+00:08:26,890 --> 00:08:30,110
+Descartes applied the Fermat principle to the
+
+132
+00:08:30,110 --> 00:08:33,170
+simplest situation possible, meaning the simplest
+
+133
+00:08:33,170 --> 00:08:36,230
+possible situation is to have a single refractive
+
+134
+00:08:36,230 --> 00:08:41,170
+surface, which is a single object point and a long
+
+135
+00:08:41,170 --> 00:08:44,710
+glass rod. Why a long glass rod? So that the image
+
+136
+00:08:44,710 --> 00:08:47,430
+is formed inside the glass. It can be difficult
+
+137
+00:08:47,430 --> 00:08:49,350
+for a person to understand how the image is formed
+
+138
+00:08:49,350 --> 00:08:51,630
+inside the glass. Is this possible? Of course this
+
+139
+00:08:51,630 --> 00:08:56,310
+is possible.وبيحدث في حياتنا كثيرا يعني كل إنسان
+
+140
+00:08:56,310 --> 00:09:00,510
+عنده myopia ..كل إنسان عنده myopia قصر نظر لو
+
+141
+00:09:00,510 --> 00:09:04,210
+مالبسش النضارات بتاعته الصورة عنده بتتكون أمام
+
+142
+00:09:04,210 --> 00:09:07,210
+الشبكة إيش يعني أمام الشبكة يعني في السائل الزجاجي
+
+143
+00:09:07,210 --> 00:09:10,550
+يعني داخل ال gel اللي بنسميه ال vitreous أو السائل
+
+144
+00:09:10,550 --> 00:09:14,790
+الزجاجي زي ما اتكونت الصورة في ال myopic eye داخل
+
+145
+00:09:14,790 --> 00:09:18,600
+ال gel أو داخل ال vitreous يعني قبل ال retinaايضا
+
+146
+00:09:18,600 --> 00:09:22,080
+ممكن الصورة تتكون داخل ال glass زي ما الصورة عندي
+
+147
+00:09:22,080 --> 00:09:25,340
+هنا بتوضح، زي ما الصورة عندي هنا بتوضح، اذا
+
+148
+00:09:25,340 --> 00:09:30,180
+consider a single object point and a long glass
+
+149
+00:09:30,180 --> 00:09:34,270
+road، هاي أنا عندي single object pointI have a
+
+150
+00:09:34,270 --> 00:09:36,410
+long glass rod, not drawn or anything like that,
+
+151
+00:09:36,510 --> 00:09:39,390
+we are drawing the part where the picture will be
+
+152
+00:09:39,390 --> 00:09:41,790
+formed, which is marked with the symbol I, and
+
+153
+00:09:41,790 --> 00:09:45,190
+this is enough to clarify the idea Now, what will
+
+154
+00:09:45,190 --> 00:09:49,610
+Descartes and the team of researchers with him do?
+
+155
+00:09:49,790 --> 00:09:54,390
+They want to start playing or changing the shapes
+
+156
+00:09:54,390 --> 00:09:58,660
+ofالسطح هذا ال refracting surface هذا مرة يخليه
+
+157
+00:09:58,660 --> 00:10:04,380
+كروي مرة ينحطه بشكل بيضاوي مرة ينحطه بشكل مخروطي و
+
+158
+00:10:04,380 --> 00:10:08,440
+مرة ينحطه بشكل يعني جميع الأشكال الهندسية اللي هو
+
+159
+00:10:08,440 --> 00:10:12,320
+يعني عايز هذا يعني بمعنى أخر أنه بدنا نغير ال
+
+160
+00:10:12,320 --> 00:10:16,620
+shape بدنا نغير ال shape يعني الشكلطيب، إيش حصل مع
+
+161
+00:10:16,620 --> 00:10:21,600
+Rene Descartes، بنقول، Descartes realized that if
+
+162
+00:10:21,600 --> 00:10:25,420
+the end of the road was configured in a nearly
+
+163
+00:10:25,420 --> 00:10:29,880
+elliptical shape, a stigmatic image would form in
+
+164
+00:10:29,880 --> 00:10:30,320
+the glass
+
+165
+00:10:33,170 --> 00:10:38,130
+بننحطه و بنخلي شكله شبه بيضاوي, nearly elliptical,
+
+166
+00:10:38,510 --> 00:10:43,130
+nearly elliptical shape ساعتها stigmatic image لل
+
+167
+00:10:43,130 --> 00:10:46,670
+object point، لل object point، هذه ال object
+
+168
+00:10:46,670 --> 00:10:51,850
+point، هيتكون لها stigmatic image داخل ال glass
+
+169
+00:10:51,850 --> 00:10:56,030
+road، داخل ال glass road، يعني الأشعة، الأشعة كلها
+
+170
+00:10:56,030 --> 00:11:00,690
+هتتجمع في نقطة واحدة، إذا كان الشكل هنا، شكل السطح
+
+171
+00:11:00,690 --> 00:11:06,270
+شبه بيضاويWhat did René Descartes do next? René
+
+172
+00:11:06,270 --> 00:11:09,790
+Descartes went to the place where the stigmatic
+
+173
+00:11:09,790 --> 00:11:12,950
+image was formed and cut the glass rod from there
+
+174
+00:11:12,950 --> 00:11:18,110
+and brought a glass rod similar in size to him and
+
+175
+00:11:18,110 --> 00:11:23,810
+stuck it in the back part of the first glass rod
+
+176
+00:11:24,800 --> 00:11:28,460
+this image, this image where the light is gathered
+
+177
+00:11:28,460 --> 00:11:31,780
+in a point shape and then it started again, it
+
+178
+00:11:31,780 --> 00:11:34,720
+became a divergence facing the other surface which
+
+179
+00:11:34,720 --> 00:11:38,540
+is also nearly elliptical. So why did Descartes do
+
+180
+00:11:38,540 --> 00:11:41,820
+such a thing? He did it to get a stigmatic image
+
+181
+00:11:41,820 --> 00:11:43,500
+in the vacuum, he didn't want to be humiliated in
+
+182
+00:11:43,500 --> 00:11:47,360
+the glass road. So this primary image became a
+
+183
+00:11:47,360 --> 00:11:51,560
+body that emits light and consequently when we
+
+184
+00:11:51,560 --> 00:11:56,140
+pass through the light froma new glass rode which
+
+185
+00:11:56,140 --> 00:11:58,660
+has the same characteristics and length which is
+
+186
+00:11:58,660 --> 00:12:04,460
+nearly elliptical and here it is almost elliptical
+
+187
+00:12:04,460 --> 00:12:07,120
+the light from the first image which was
+
+188
+00:12:07,120 --> 00:12:10,040
+considered as if it was a body was scattered and
+
+189
+00:12:10,040 --> 00:12:12,940
+then broke through the single refracting surface
+
+190
+00:12:12,940 --> 00:12:16,520
+here and collected and the image was printed on
+
+191
+00:12:16,520 --> 00:12:19,380
+the printing paper and the image was really
+
+192
+00:12:19,380 --> 00:12:23,850
+stigmaticعندي intermediate image, stigmatic,
+
+193
+00:12:23,930 --> 00:12:27,190
+stigmatic يعني طبق الأصل من ال object و final
+
+194
+00:12:27,190 --> 00:12:31,590
+image اللي هي الصورة الأخيرة أيضا stigmatic بمعنى
+
+195
+00:12:31,590 --> 00:12:38,050
+صورة طبق الصورة طبق الأصل Descartes realized or
+
+196
+00:12:38,050 --> 00:12:41,350
+Descartes realized that if the end of the road was
+
+197
+00:12:41,350 --> 00:12:44,930
+configured in a nearly elliptical shape هذه هو
+
+198
+00:12:44,930 --> 00:12:48,940
+الشكل هذه هو الشكل اللي هيطيني stigmatic imagea
+
+199
+00:12:48,940 --> 00:12:52,620
+stigmatic image would form in the glass, this
+
+200
+00:12:52,620 --> 00:12:57,520
+shape .. هذا .. هذا المنظر glass rod و الحفة
+
+201
+00:12:57,520 --> 00:13:02,460
+بتاعته منحوطة بشكل .. منحوطة بشكل .. تتاخد شكل شبه
+
+202
+00:13:02,460 --> 00:13:07,800
+بيضاوي، هذا أصبح يسمى Cartesian ellipsoid أو
+
+203
+00:13:07,800 --> 00:13:11,160
+Cartesian conoid أو Cartesian conoid، اذا
+
+204
+00:13:11,160 --> 00:13:17,590
+Cartesian ellipsoid أو Cartesian conoidبعض القراء
+
+205
+00:13:17,590 --> 00:13:20,790
+أو بعض الطلبة may be troubled by the fact that the
+
+206
+00:13:20,790 --> 00:13:25,170
+image forms in glass instead of air, but this is
+
+207
+00:13:25,170 --> 00:13:29,410
+not a problem. After all, in a myopic eye, the
+
+208
+00:13:29,410 --> 00:13:34,050
+image forms in the vitreous, and in an amyotropic
+
+209
+00:13:34,050 --> 00:13:37,920
+eye it forms on the retina.In other words, the
+
+210
+00:13:37,920 --> 00:13:44,660
+myopic person's image is formed in the vitreous
+
+211
+00:13:44,660 --> 00:13:52,320
+gel. Also, the immature person's image is formed
+
+212
+00:13:52,320 --> 00:13:57,140
+on the retina, which is also not in the air.
+
+213
+00:14:01,620 --> 00:14:05,600
+Once a stigmatic image is produced, the rod is cut
+
+214
+00:14:05,600 --> 00:14:08,560
+and a second Cartesian ellipsoid placed on the
+
+215
+00:14:08,560 --> 00:14:11,740
+back surface. As the following picture shows,
+
+216
+00:14:14,220 --> 00:14:20,440
+I have a stigmatic image inside the glass. Now we
+
+217
+00:14:20,440 --> 00:14:22,520
+cut from the stigmatic image and put another
+
+218
+00:14:22,520 --> 00:14:26,360
+Cartesian ellipsoid with the same dimensions on
+
+219
+00:14:26,360 --> 00:14:31,670
+the back surface of the first Cartesian conoid.The
+
+220
+00:14:31,670 --> 00:14:34,110
+final image that we will receive in the air is
+
+221
+00:14:34,110 --> 00:14:38,030
+also stigmatic Okay, excellent, so we solved the
+
+222
+00:14:38,030 --> 00:14:42,590
+problem of stigmatic imaging And we can get a
+
+223
+00:14:42,590 --> 00:14:48,190
+stigmatic image of any object we want The truth is
+
+224
+00:14:48,190 --> 00:14:51,970
+that this is not correct Why is it not correct?
+
+225
+00:14:52,050 --> 00:14:56,790
+Because we used the simplest object and the
+
+226
+00:14:56,790 --> 00:14:59,490
+simplest camera The simplest object is a single
+
+227
+00:14:59,490 --> 00:15:03,320
+object pointAnd the simplest camera is a single
+
+228
+00:15:03,320 --> 00:15:06,620
+refracting service. You may remember the first
+
+229
+00:15:06,620 --> 00:15:08,720
+lecture that said that the simplest camera is a
+
+230
+00:15:08,720 --> 00:15:10,360
+pinhole camera. But we said that the pinhole
+
+231
+00:15:10,360 --> 00:15:16,220
+camera cannot be used because its pictures are too
+
+232
+00:15:16,220 --> 00:15:18,060
+faint to be useful. Meaning that it is too faint
+
+233
+00:15:18,060 --> 00:15:24,780
+to be useful. So the
+
+234
+00:15:24,780 --> 00:15:29,370
+solution to the problem is no.one point or if the
+
+235
+00:15:29,370 --> 00:15:33,490
+body is one point then the Cartesian ellipsoid
+
+236
+00:15:33,490 --> 00:15:37,890
+produces a stigmatic image of only one object
+
+237
+00:15:37,890 --> 00:15:41,090
+point and the rest of the points all other object
+
+238
+00:15:41,090 --> 00:15:45,590
+points image non-stigmatically if the object for
+
+239
+00:15:45,590 --> 00:15:49,670
+example consists of ten points of course the
+
+240
+00:15:49,670 --> 00:15:52,250
+object consists of an infinite number of points
+
+241
+00:15:52,250 --> 00:15:56,130
+but we imagine that the object consists of ten
+
+242
+00:15:56,130 --> 00:16:02,020
+pointsOne of these points will have a stigmatic
+
+243
+00:16:02,020 --> 00:16:04,140
+picture and the other nine will be non-stigmatic,
+
+244
+00:16:04,260 --> 00:16:06,460
+which means it's a point spread function One might
+
+245
+00:16:06,460 --> 00:16:09,900
+say, well, what did we gain from all this work of
+
+246
+00:16:09,900 --> 00:16:14,120
+Descartes? Descartes put the feet of scientists at
+
+247
+00:16:14,120 --> 00:16:18,530
+the beginning of our journeyin terms of getting a
+
+248
+00:16:18,530 --> 00:16:21,210
+stigmatic image ..in terms of getting a stigmatic
+
+249
+00:16:21,210 --> 00:16:24,470
+image ..it is true that the formation ..the
+
+250
+00:16:24,470 --> 00:16:27,110
+formation of a glass rod in a nearly elliptical
+
+251
+00:16:27,110 --> 00:16:31,550
+shape leads to one object point ..only one object
+
+252
+00:16:31,550 --> 00:16:35,330
+point being stigmatic and the rest not ..but as
+
+253
+00:16:35,330 --> 00:16:38,130
+long as we get one point that is stigmatic it
+
+254
+00:16:38,130 --> 00:16:41,210
+means that we started to walk on the beginning of
+
+255
+00:16:41,210 --> 00:16:46,130
+the road to get ..Stigmatic imaging of other
+
+256
+00:16:46,130 --> 00:16:51,290
+object points. The Cartesian ellipsoid produces a
+
+257
+00:16:51,290 --> 00:16:55,450
+stigmatic image of only one object point. All
+
+258
+00:16:55,450 --> 00:16:58,350
+other object points image non-stigmatically.
+
+259
+00:17:01,700 --> 00:17:06,960
+في نقطة تانية او صعوبة تانية واجهت العلماء في ذلك
+
+260
+00:17:06,960 --> 00:17:11,800
+الزمن انه لغاية 1960 لعصرنا الحالي او للقرن
+
+261
+00:17:11,800 --> 00:17:16,780
+العشرين لبعد منتصف القرن العشرين 1960 يعني تقريبا
+
+262
+00:17:16,780 --> 00:17:22,520
+من ستين سنة من ستين سنة بالضبط it was impossibleto
+
+263
+00:17:22,520 --> 00:17:36,420
+manufacture a Cartesian ellipsoid. The only
+
+264
+00:17:36,420 --> 00:17:39,520
+surfaces that could be accurately figured were
+
+265
+00:17:39,520 --> 00:17:43,700
+spheres, cylinders, spherocylinders and flats.
+
+266
+00:17:44,280 --> 00:17:47,940
+Now, aspheric surfaces are relatively easy to
+
+267
+00:17:47,940 --> 00:17:48,400
+manufacture.
+
+268
+00:17:52,390 --> 00:17:56,530
+The rectangular shapes, the rectangular spherical
+
+269
+00:17:56,530 --> 00:18:03,640
+shapes, and the flat shapes.As for manufacturing
+
+270
+00:18:03,640 --> 00:18:07,400
+Cartesian ellipsoids and manufacturing them
+
+271
+00:18:07,400 --> 00:18:09,540
+artificially in large quantities in order to
+
+272
+00:18:09,540 --> 00:18:12,980
+distribute them for practical use, of course this
+
+273
+00:18:12,980 --> 00:18:15,560
+was almost impossible ..almost impossible
+
+274
+00:18:32,640 --> 00:18:37,840
+بشكل سهل جدا و ال computer ممكن هو اللي يشرف على
+
+275
+00:18:37,840 --> 00:18:42,300
+القضية تقصها و تنتج بشكل صناعي بسهولة شديدة،
+
+276
+00:18:42,300 --> 00:18:49,020
+بسهولة شديدة بدون تدخل يد الإنسان The
+
+277
+00:18:49,020 --> 00:18:52,500
+cart established that a single refracting surface
+
+278
+00:18:52,500 --> 00:18:56,020
+could at best produce a stigmatic image of only
+
+279
+00:18:56,020 --> 00:19:00,080
+one object pointThe scholar René Descartes reached
+
+280
+00:19:00,080 --> 00:19:03,600
+to a rule that if I have one refracting service,
+
+281
+00:19:03,760 --> 00:19:08,560
+single refracting service, and I shaped it in the
+
+282
+00:19:08,560 --> 00:19:11,340
+best possible way or in the most appropriate way,
+
+283
+00:19:12,040 --> 00:19:15,180
+the maximum that this single refracting service
+
+284
+00:19:15,180 --> 00:19:18,580
+has is to make a stigmatic image for only one
+
+285
+00:19:18,580 --> 00:19:22,260
+point. Okay, I want more than one point to have a
+
+286
+00:19:22,260 --> 00:19:26,330
+stigmatic imageطبعا باستعمال علم الرياضيات by
+
+287
+00:19:26,330 --> 00:19:30,070
+means of mathematics it has been demonstrated that
+
+288
+00:19:30,070 --> 00:19:34,650
+an optical system can produce a stigmatic image of
+
+289
+00:19:34,650 --> 00:19:38,710
+only as many object points as there are degrees of
+
+290
+00:19:38,710 --> 00:19:42,650
+freedom in the optical system يعني ما معنى هذا
+
+291
+00:19:42,650 --> 00:19:48,160
+الكلام؟ ما معنى هذا الكلام؟Now, before we say the
+
+292
+00:19:48,160 --> 00:19:49,360
+meaning of this word, let's go back to the
+
+293
+00:19:49,360 --> 00:19:52,480
+previous sentence, Descartes reached a base, that
+
+294
+00:19:52,480 --> 00:19:56,400
+if I have a single refractive surface, I can get
+
+295
+00:19:56,400 --> 00:20:00,120
+from the single refractive surface on one object
+
+296
+00:20:00,120 --> 00:20:04,770
+point that its shape is stigmaticI get the object
+
+297
+00:20:04,770 --> 00:20:07,030
+points, I get the point of the object, it's not
+
+298
+00:20:07,030 --> 00:20:10,610
+possible because I have a chance to get one point
+
+299
+00:20:10,610 --> 00:20:14,110
+on a picture like the original And I get the point
+
+300
+00:20:14,110 --> 00:20:16,150
+of the object, it's not possible, why? Because I
+
+301
+00:20:16,150 --> 00:20:19,610
+have single refracting surface, single refracting
+
+302
+00:20:19,610 --> 00:20:23,120
+surfaceNow, by using mathematical science,
+
+303
+00:20:24,060 --> 00:20:28,100
+scientists proved that any optical system .. any
+
+304
+00:20:28,100 --> 00:20:32,600
+optical system .. will give me a stigmatic image
+
+305
+00:20:32,600 --> 00:20:35,520
+of the number of points of the object as much as
+
+306
+00:20:35,520 --> 00:20:36,540
+there are degrees of freedom in this optical
+
+307
+00:20:36,540 --> 00:20:41,020
+systemWe want to understand what degrees of
+
+308
+00:20:41,020 --> 00:20:43,140
+freedom means. We want to understand what degrees
+
+309
+00:20:43,140 --> 00:20:46,260
+of freedom means. We repeat, we say if I have an
+
+310
+00:20:46,260 --> 00:20:50,020
+optical system scene and another optical system
+
+311
+00:20:50,020 --> 00:20:53,540
+shot, and the optical system scene has degrees of
+
+312
+00:20:53,540 --> 00:20:57,740
+freedom more than the optical system shot, then
+
+313
+00:20:57,740 --> 00:21:01,760
+the optical system scene will give me a stigmatic
+
+314
+00:21:01,760 --> 00:21:04,300
+image for the number of points of the object more
+
+315
+00:21:04,300 --> 00:21:09,790
+than what the optical system shot gives me.Okay,
+
+316
+00:21:09,970 --> 00:21:12,970
+what is meant by degrees of freedom here? Of
+
+317
+00:21:12,970 --> 00:21:14,950
+course, what is meant is not the political freedom
+
+318
+00:21:14,950 --> 00:21:18,530
+that we hear about But degrees of freedom means
+
+319
+00:21:18,530 --> 00:21:22,110
+how much I am free to change the characteristics
+
+320
+00:21:22,110 --> 00:21:24,810
+of the optical system Also, we want to understand
+
+321
+00:21:24,810 --> 00:21:29,510
+more, we say I have one lens with two surfaces One
+
+322
+00:21:29,510 --> 00:21:34,950
+lens with two surfaces Let's see this drawing We
+
+323
+00:21:34,950 --> 00:21:38,080
+will take this lens onlyWhat are the attributes
+
+324
+00:21:38,080 --> 00:21:41,560
+that I can change in the lens? I can change the
+
+325
+00:21:41,560 --> 00:21:44,180
+shape and tilt of the surface in front of me, this
+
+326
+00:21:44,180 --> 00:21:46,440
+is the first degree of freedom I have, which means
+
+327
+00:21:46,440 --> 00:21:50,100
+I am free to change it or tilt it in a certain way
+
+328
+00:21:50,100 --> 00:21:54,300
+Second thing, the back surface, I can change its
+
+329
+00:21:54,300 --> 00:21:56,460
+shape and tilt it, so I have two degrees of
+
+330
+00:21:56,460 --> 00:22:02,450
+freedom Third thing, third thingالسمك .. السمك
+
+331
+00:22:02,450 --> 00:22:06,510
+بتاع العدسة فأقدر أخليها سميكة، أرفع شويه،
+
+332
+00:22:06,510 --> 00:22:10,290
+أرفيعها، إذا برضه .. برضه عندي درجة أو عندي مجال
+
+333
+00:22:10,290 --> 00:22:13,970
+من الحرية إن أنا أغير السمك بتاع العدسة، إذا هذه
+
+334
+00:22:13,970 --> 00:22:18,810
+عدسة لها تلت درجات حرية، إذا هذه بتقدر تعطيني
+
+335
+00:22:18,810 --> 00:22:24,550
+تلاتة points، تلاتة pointsOr more than the
+
+336
+00:22:24,550 --> 00:22:27,270
+stigmatic imaging, than the stigmatic imaging I
+
+337
+00:22:27,270 --> 00:22:31,690
+mean if the single refracting service gave me,
+
+338
+00:22:31,770 --> 00:22:35,270
+because it's single, gave me only a stigmatic
+
+339
+00:22:35,270 --> 00:22:37,250
+picture for one object point and the rest of the
+
+340
+00:22:37,250 --> 00:22:42,510
+object points were not stigmatic pictures, while I
+
+341
+00:22:42,510 --> 00:22:47,990
+haveA single lens has three degrees of freedom.
+
+342
+00:22:48,650 --> 00:22:51,090
+What are these three degrees of freedom? The front
+
+343
+00:22:51,090 --> 00:22:55,170
+surface, I can control its shape, change it, bend
+
+344
+00:22:55,170 --> 00:22:57,890
+it in one way, then change it in another way until
+
+345
+00:22:57,890 --> 00:23:03,650
+I get a stigmatic image to one point. The back
+
+346
+00:23:03,650 --> 00:23:06,890
+surface to another point, I can change it. The
+
+347
+00:23:06,890 --> 00:23:11,370
+thickness, I can control it until it gives me a
+
+348
+00:23:11,370 --> 00:23:16,220
+third point. So, onesingle lens and have three
+
+349
+00:23:16,220 --> 00:23:17,880
+degrees of freedom
+
+350
+00:23:21,800 --> 00:23:24,820
+Two lenses, two lenses, as the drawing here shows,
+
+351
+00:23:25,320 --> 00:23:27,920
+I have two lenses. How many degrees of freedom do
+
+352
+00:23:27,920 --> 00:23:30,600
+I have? I have seven degrees of freedom. What are
+
+353
+00:23:30,600 --> 00:23:34,200
+they? The front surface and the back surface, I
+
+354
+00:23:34,200 --> 00:23:36,660
+can control their shape and thickness. These are
+
+355
+00:23:36,660 --> 00:23:40,200
+three. And here also three, six. So why did we say
+
+356
+00:23:40,200 --> 00:23:43,420
+seven? Because I can also control the distance
+
+357
+00:23:43,420 --> 00:23:46,820
+between the two lenses. These two lenses together,
+
+358
+00:23:47,020 --> 00:23:51,200
+optical system oneSo I have three degrees of
+
+359
+00:23:51,200 --> 00:23:53,860
+freedom here, and three, this is six, and the
+
+360
+00:23:53,860 --> 00:23:57,740
+seventh that I can control, which is what? The
+
+361
+00:23:57,740 --> 00:24:00,980
+distance between them We notice some press cameras
+
+362
+00:24:00,980 --> 00:24:06,140
+in conferences and similarYou can .. or you find
+
+363
+00:24:06,140 --> 00:24:10,160
+that the camera is extended forward, some people
+
+364
+00:24:10,160 --> 00:24:11,520
+or some journalists say that they are doing
+
+365
+00:24:11,520 --> 00:24:14,040
+zooming, they are doing zooming From the concept
+
+366
+00:24:14,040 --> 00:24:16,180
+of geometrical optics, we say that it is extended
+
+367
+00:24:16,180 --> 00:24:19,140
+forward to make a greater distance between the
+
+368
+00:24:19,140 --> 00:24:24,020
+lenses, why? To get a higher image quality, to get
+
+369
+00:24:24,020 --> 00:24:28,330
+a higher image qualityNow, how will the journalist
+
+370
+00:24:28,330 --> 00:24:31,150
+know that he got a higher image quality when he
+
+371
+00:24:31,150 --> 00:24:33,530
+sees that his image is clearer and more obvious
+
+372
+00:24:33,530 --> 00:24:39,570
+and it becomes to a higher degree of clarity? Some
+
+373
+00:24:39,570 --> 00:24:42,590
+cameras don't even wait for the journalist to
+
+374
+00:24:42,590 --> 00:24:45,710
+change the distance of the lenses from each other,
+
+375
+00:24:45,750 --> 00:24:51,540
+but they do this automaticallyThe proof that I can
+
+376
+00:24:51,540 --> 00:24:54,660
+control the distance is that these are two lenses
+
+377
+00:24:54,660 --> 00:24:57,140
+connected to each other, so the distance between
+
+378
+00:24:57,140 --> 00:24:59,920
+them is zero, while these two lenses have a
+
+379
+00:24:59,920 --> 00:25:01,940
+certain distance between them, I can try them, I
+
+380
+00:25:01,940 --> 00:25:03,620
+can distance them, so this is one degree of
+
+381
+00:25:03,620 --> 00:25:08,610
+freedom degrees. A person may wonder why I putThis
+
+382
+00:25:08,610 --> 00:25:14,090
+picture, this picture is about a bed that needs to
+
+383
+00:25:14,090 --> 00:25:17,170
+be moved to another house or something similar We
+
+384
+00:25:17,170 --> 00:25:20,590
+say that if we ask one person, because you see
+
+385
+00:25:20,590 --> 00:25:26,890
+that he carries two people, one person to carry
+
+386
+00:25:26,890 --> 00:25:29,710
+the bed, he will find it difficult because it is
+
+387
+00:25:29,710 --> 00:25:34,930
+big and has floors, I mean, toilets and pillows
+
+388
+00:25:34,930 --> 00:25:39,960
+and so onNow if we ask .. of course he is one
+
+389
+00:25:39,960 --> 00:25:42,440
+person, he has both hands, so he has two degrees
+
+390
+00:25:42,440 --> 00:25:46,140
+of freedom to control and hold with both hands If
+
+391
+00:25:46,140 --> 00:25:48,360
+we add another person, the situation becomes
+
+392
+00:25:48,360 --> 00:25:52,920
+easier, I have four degrees or four working hands,
+
+393
+00:25:53,340 --> 00:25:56,340
+four working hands If we bring a third person, we
+
+394
+00:25:56,340 --> 00:25:58,930
+say to him, hold these tools with your handsIt
+
+395
+00:25:58,930 --> 00:26:02,690
+will be easier and easier. If we bring a fourth
+
+396
+00:26:02,690 --> 00:26:04,710
+person, it will be easier. That is, the more the
+
+397
+00:26:04,710 --> 00:26:08,450
+number of working hands, the easier it is to carry
+
+398
+00:26:08,450 --> 00:26:11,610
+out the mission without any problems. And also,
+
+399
+00:26:11,850 --> 00:26:15,310
+the more lenses we have, the more freedom I have.
+
+400
+00:26:17,240 --> 00:26:19,640
+and therefore I have more quality of the picture
+
+401
+00:26:19,640 --> 00:26:22,980
+because the more degrees of freedom I have, the
+
+402
+00:26:22,980 --> 00:26:28,920
+more points I can get from the object on a
+
+403
+00:26:28,920 --> 00:26:32,320
+stigmatic image in the picture Stigmatic image
+
+404
+00:26:32,320 --> 00:26:37,220
+means that these object points are points Let's go
+
+405
+00:26:37,220 --> 00:26:39,280
+to the optical system here in the drawing, let's
+
+406
+00:26:39,280 --> 00:26:43,400
+say how many lenses are there? One, two, three,
+
+407
+00:26:43,900 --> 00:26:48,810
+four, fiveكل عدسة إلها تلت درجات حرية، سطحها
+
+408
+00:26:48,810 --> 00:26:52,230
+الأمامي و سطحها الخالفي و السمك بتاعها، بغض النظر
+
+409
+00:26:52,230 --> 00:26:56,810
+العدسة محددة أو مقعرة، إذا عندي خمس عدسات في تلت
+
+410
+00:26:56,810 --> 00:27:01,290
+درجات حرية، إذا عندي خمستاشر درجة حرية زائد، كام
+
+411
+00:27:01,290 --> 00:27:05,970
+مسافة بينهم هاي مسافة؟ تنتين، تلاتة، أربع، خمستاشر
+
+412
+00:27:05,970 --> 00:27:11,180
+درجة حرية زائدplus four degrees or four distances
+
+413
+00:27:11,180 --> 00:27:13,980
+between them, so I have nineteen degrees of
+
+414
+00:27:13,980 --> 00:27:19,500
+freedom, nineteen opportunities of freedom or
+
+415
+00:27:19,500 --> 00:27:22,820
+degrees of freedom that I can control I can change
+
+416
+00:27:22,820 --> 00:27:26,420
+the surface in front of me here, I can change the
+
+417
+00:27:26,420 --> 00:27:28,920
+depth, I can change the surface behind me, I can
+
+418
+00:27:28,920 --> 00:27:30,980
+change the distance between the first and second
+
+419
+00:27:30,980 --> 00:27:34,960
+lens and so on, so I have freedom areas or degrees
+
+420
+00:27:34,960 --> 00:27:38,300
+of freedom nineteenكل ما زادت ال degrees of
+
+421
+00:27:38,300 --> 00:27:41,600
+freedom كل ما كان ال quality of the image أعلى كل
+
+422
+00:27:41,600 --> 00:27:46,320
+of the image أعلى Why? لأنه .. لأنه بنحصل على عدد
+
+423
+00:27:46,320 --> 00:27:48,260
+أكبر من ال object points لإنه .. لإنه بنحصل على
+
+424
+00:27:48,260 --> 00:27:50,780
+عدد أكبر من ال object points بتكون صوره .. صوره أو
+
+425
+00:27:50,780 --> 00:27:51,380
+صور ال object points هذه بشكل أستigmatic بتكون
+
+426
+00:27:51,380 --> 00:27:53,020
+صوره .. صوره أو صور ال object points هذه بشكل
+
+427
+00:27:53,020 --> 00:27:54,520
+أستigmatic بتكون صوره .. صوره أو صور ال object
+
+428
+00:27:54,520 --> 00:27:57,320
+points هذه بشكل أستigmatic بتكون صوره .. صوره أو
+
+429
+00:27:57,320 --> 00:27:59,120
+صور ال object points هذه بشكل أستigmatic بتكون
+
+430
+00:27:59,120 --> 00:27:59,600
+صوره .. صوره أو صور ال object points هذه بشكل
+
+431
+00:27:59,600 --> 00:28:02,600
+أستigmatic بتكون صوره .. صوره أو صور ال object
+
+432
+00:28:02,600 --> 00:28:04,940
+points هذه بشكل أستigmaticThe lenses in the
+
+433
+00:28:04,940 --> 00:28:07,360
+optical system, that is, the optical system that
+
+434
+00:28:07,360 --> 00:28:11,860
+has multiple lenses, its image quality is higher
+
+435
+00:28:11,860 --> 00:28:18,600
+than if I had fewer lenses, than the lenses. These
+
+436
+00:28:18,600 --> 00:28:21,360
+are examples that we have explained. We will stop
+
+437
+00:28:21,360 --> 00:28:25,840
+here this time, and next time, God willing, we
+
+438
+00:28:25,840 --> 00:28:29,160
+will enter into the topic of first order optics
+
+439
+00:28:29,160 --> 00:28:31,460
+and give you wellness and peace, and God's mercy
+
+440
+00:28:31,460 --> 00:28:32,600
+and blessings.
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/IiCVj1ZAxis_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/IiCVj1ZAxis_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..8e5018a1711b4365ea669e2664fa454f72573977
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/IiCVj1ZAxis_postprocess.srt
@@ -0,0 +1,72 @@
+1
+00:00:01,670 --> 00:00:03,610
+Bismillah ar-Rahman ar-Rahim What is the
+
+2
+00:00:03,610 --> 00:00:09,250
+transverse magnification if we know that object is
+
+3
+00:00:09,250 --> 00:00:14,290
+40 centimeter height and image is 10 centimeter
+
+4
+00:00:14,290 --> 00:00:17,310
+height below the optical axis. Transverse
+
+5
+00:00:17,310 --> 00:00:22,870
+magnification is equal to image height over object
+
+6
+00:00:22,870 --> 00:00:29,590
+height. Image height below the optical axis is
+
+7
+00:00:29,590 --> 00:00:34,540
+negative.10 cm means 1 out of 10 meters over
+
+8
+00:00:34,540 --> 00:00:38,660
+object height above the optical axis, plus, don't
+
+9
+00:00:38,660 --> 00:00:45,340
+forget the sign 40 cm means 4 out of 10 meters and
+
+10
+00:00:45,340 --> 00:00:49,860
+it equals minus over plus minus, of course we will
+
+11
+00:00:49,860 --> 00:00:53,360
+put the x sign to indicate magnification minus
+
+12
+00:00:53,360 --> 00:00:56,240
+means the picture is upside down 1 out of 10 over
+
+13
+00:00:56,240 --> 00:01:01,270
+4 out of 10 is a quarterوالمتر على متر بيروح
+
+14
+00:01:01,270 --> 00:01:06,150
+النسبة لا تميز، هاي الجواب X يعني تكبير الصورة
+
+15
+00:01:06,150 --> 00:01:09,830
+minus مجلوبة، أول إشي هنعرف أنها مجلوبة، تكبيرها
+
+16
+00:01:09,830 --> 00:01:13,150
+ربع، يعني ارتفاعها ربع ارتفاع ال object فعلا
+
+17
+00:01:13,150 --> 00:01:15,970
+ارتفاعها عشر سانتي وربع الاربعين سانتي اللي هو
+
+18
+00:01:15,970 --> 00:01:18,190
+ارتفاع ال object ويعطيكم العافية
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/JynOvdHtkQI_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/JynOvdHtkQI_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c9fa2d94f39e0caa18494af0a2b54ced964fcf12
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/JynOvdHtkQI_postprocess.srt
@@ -0,0 +1,2172 @@
+1
+00:00:01,580 --> 00:00:02,600
+In the name of God, Most Gracious, Most Merciful.
+
+2
+00:00:03,180 --> 00:00:06,260
+We continue with the lectures of Geometric Optics
+
+3
+00:00:06,260 --> 00:00:11,040
+and we said that scientists in the 17th century
+
+4
+00:00:11,040 --> 00:00:15,640
+found a system of equations and mathematical
+
+5
+00:00:15,640 --> 00:00:18,690
+calculationswhich made it easier to understand the
+
+6
+00:00:18,690 --> 00:00:21,230
+science of geometric optics and made it easier to
+
+7
+00:00:21,230 --> 00:00:23,890
+understand the journey of light from the object to
+
+8
+00:00:23,890 --> 00:00:26,910
+the optical system, to the image This system of
+
+9
+00:00:26,910 --> 00:00:30,170
+equations and mathematical calculations became
+
+10
+00:00:30,170 --> 00:00:35,810
+known as the first order optics which is the basic
+
+11
+00:00:35,810 --> 00:00:41,780
+stone for understanding geometryoptics وعشان نفهم
+
+12
+00:00:41,780 --> 00:00:46,400
+بالتفصيل إيش اللي عملوه العلماء بنحكي إيش أول خطوة
+
+13
+00:00:46,400 --> 00:00:50,120
+عملوها العلماء قبل ما نحكي الخطوة الأولى و اللي هي
+
+14
+00:00:50,120 --> 00:00:53,400
+ignoring image quality بنذكر بصفات ال image أو ال
+
+15
+00:00:53,400 --> 00:00:57,080
+image characteristics و اللي هي ال magnification و
+
+16
+00:00:57,080 --> 00:01:01,180
+ال location و ال quality و ال brightness هنمسك
+
+17
+00:01:01,180 --> 00:01:05,620
+تالت شئ اللي هي ال quality اللي هيone of the most
+
+18
+00:01:05,620 --> 00:01:07,460
+important characteristics of the image and we said
+
+19
+00:01:07,460 --> 00:01:09,880
+that the quality is required that the optical
+
+20
+00:01:09,880 --> 00:01:13,400
+system creates a high quality image and if
+
+21
+00:01:13,400 --> 00:01:16,340
+possible it should create a stigmatic image that
+
+22
+00:01:16,340 --> 00:01:18,460
+is a picture that is as it should be this is the
+
+23
+00:01:18,460 --> 00:01:22,940
+best thing possible in the seventeenth century the
+
+24
+00:01:22,940 --> 00:01:27,820
+issue of obtaining a very high qualityIt was a
+
+25
+00:01:27,820 --> 00:01:32,380
+dream of scientists that the optical system at
+
+26
+00:01:32,380 --> 00:01:38,380
+that time was giving useful images, pictures that
+
+27
+00:01:38,380 --> 00:01:42,320
+were practical and useful, but not high quality,
+
+28
+00:01:42,420 --> 00:01:47,570
+not high quality. So first of all, scientistsIn
+
+29
+00:01:47,570 --> 00:01:51,210
+order for the image to shine through the optical
+
+30
+00:01:51,210 --> 00:01:53,770
+system, they said that the first thing we should
+
+31
+00:01:53,770 --> 00:01:57,190
+do is to ignore image quality. We should not study
+
+32
+00:01:57,190 --> 00:02:01,050
+image quality. Ignoring image quality. We will say
+
+33
+00:02:01,050 --> 00:02:06,120
+why they .. I mean ..I mean they agreed to neglect
+
+34
+00:02:06,120 --> 00:02:11,640
+image quality because they don't want high image
+
+35
+00:02:11,640 --> 00:02:15,280
+quality, but they can't make an optical system
+
+36
+00:02:15,280 --> 00:02:19,040
+that's not high quality or that gives me high
+
+37
+00:02:19,040 --> 00:02:23,330
+quality pictures or imagesهدا لو احنا جبنا مثل من
+
+38
+00:02:23,330 --> 00:02:29,410
+الحياة، بنقول إنسان بسيط للغاية في حياته ما هيصعد
+
+39
+00:02:29,410 --> 00:02:34,210
+على سطح القمر في سفينة فضاء، ليش يشغل نفسه ب ..
+
+40
+00:02:34,210 --> 00:02:39,870
+يعني تفصيل بدلة مثل البدلة اللي بيلبسها رواد
+
+41
+00:02:39,870 --> 00:02:43,720
+الفضاء، يعني هذا بيكون مضيع للوقتAnd in comparison
+
+42
+00:02:43,720 --> 00:02:47,520
+to that, scientists in the 17th century said that
+
+43
+00:02:47,520 --> 00:02:51,840
+we are not able to create a high quality optical
+
+44
+00:02:51,840 --> 00:02:56,060
+system So as long as our image quality is
+
+45
+00:02:56,060 --> 00:03:00,760
+basically humbleThe image quality is low, so the
+
+46
+00:03:00,760 --> 00:03:02,980
+first thing to study the journey of light and
+
+47
+00:03:02,980 --> 00:03:06,700
+study the image characteristics, we need to
+
+48
+00:03:06,700 --> 00:03:09,160
+neglect the image quality. This is basically what
+
+49
+00:03:09,160 --> 00:03:12,320
+they mean or what they simplified to consider that
+
+50
+00:03:12,320 --> 00:03:15,340
+neglecting the image quality and ignoring the
+
+51
+00:03:15,340 --> 00:03:20,880
+image quality simplified the topic. To know the
+
+52
+00:03:20,880 --> 00:03:24,180
+image quality exactly, I need to see the point
+
+53
+00:03:24,180 --> 00:03:25,460
+spread function.
+
+54
+00:03:27,930 --> 00:03:37,630
+If we look at this view and make it bigger, we say
+
+55
+00:03:37,630 --> 00:03:42,180
+this is the point spread functionwhich is
+
+56
+00:03:42,180 --> 00:03:45,700
+irregular and irregular shape to one point of the
+
+57
+00:03:45,700 --> 00:03:49,280
+object's point You might ask, what are these
+
+58
+00:03:49,280 --> 00:03:51,700
+colors? These colors show the intensity of the
+
+59
+00:03:51,700 --> 00:03:54,360
+light The red color in the middle of the point
+
+60
+00:03:54,360 --> 00:03:56,320
+spread function, here is the largest amount of
+
+61
+00:03:56,320 --> 00:03:59,360
+light that ended here is the intensity of the
+
+62
+00:03:59,360 --> 00:04:01,680
+light, less, less, less, but these are the limits
+
+63
+00:04:01,680 --> 00:04:04,480
+of the point spread functionthis is the limits of
+
+64
+00:04:04,480 --> 00:04:07,940
+point spread function in the rectangular form that
+
+65
+00:04:07,940 --> 00:04:13,940
+looks like a ghost to define its limits, it must
+
+66
+00:04:13,940 --> 00:04:17,140
+be from a point in the object, this is a picture
+
+67
+00:04:17,140 --> 00:04:19,120
+of one point let's assume that this is a
+
+68
+00:04:19,120 --> 00:04:21,640
+condition, it means that in this body, the point
+
+69
+00:04:21,640 --> 00:04:24,420
+is a, and this picture is a condition I didn't
+
+70
+00:04:24,420 --> 00:04:27,540
+draw the body, nor did I draw the optical system,
+
+71
+00:04:27,580 --> 00:04:30,100
+because I want to know what is the point spread
+
+72
+00:04:30,100 --> 00:04:33,860
+functionIn order to know point spread function of
+
+73
+00:04:33,860 --> 00:04:36,920
+A, in other words, in order to know the shape of A
+
+74
+00:04:36,920 --> 00:04:41,280
+in the image, A is a point in the object, we see,
+
+75
+00:04:41,420 --> 00:04:46,000
+we pass around 200 or 300 rays in the optical
+
+76
+00:04:46,000 --> 00:04:51,010
+system, and we apply all of them Snell's lawOn
+
+77
+00:04:51,010 --> 00:04:53,830
+each of the rays to know how much is the angle of
+
+78
+00:04:53,830 --> 00:04:56,970
+deflection or the angle of passage θt for each of
+
+79
+00:04:56,970 --> 00:04:59,390
+the rays And consequently, this ray ends here,
+
+80
+00:04:59,470 --> 00:05:02,090
+this ray ends here, this ray ends here, this one
+
+81
+00:05:02,090 --> 00:05:04,210
+here, this one here, and so on until I see the
+
+82
+00:05:04,210 --> 00:05:09,110
+limits of all of them, of course, this workedIt's
+
+83
+00:05:09,110 --> 00:05:14,930
+very fast and it doesn't take a day or two or a
+
+84
+00:05:14,930 --> 00:05:19,110
+month or two to see one point picture. So why do I
+
+85
+00:05:19,110 --> 00:05:21,770
+want to know the point spread function? Because
+
+86
+00:05:21,770 --> 00:05:24,790
+it's known that I have a rule. The smaller the
+
+87
+00:05:24,790 --> 00:05:28,140
+point spread function,The higher the equality,
+
+88
+00:05:28,460 --> 00:05:31,440
+why? Because when the point spread function is
+
+89
+00:05:31,440 --> 00:05:34,240
+smaller, its limits are smaller, it means that its
+
+90
+00:05:34,240 --> 00:05:36,400
+interaction with the point spread function of the
+
+91
+00:05:36,400 --> 00:05:39,120
+second point is less, and of the third point is
+
+92
+00:05:39,120 --> 00:05:41,740
+less, and we said that the stigmatic image, which
+
+93
+00:05:41,740 --> 00:05:45,020
+is the image of the original quality, which is the
+
+94
+00:05:45,020 --> 00:05:48,180
+original quality must be a point, like the object
+
+95
+00:05:48,180 --> 00:05:51,400
+is a pointA point means that A condition must be a
+
+96
+00:05:51,400 --> 00:05:53,980
+point and B point means that B condition must be a
+
+97
+00:05:53,980 --> 00:05:57,420
+point and so on. So, as long as I have A as a
+
+98
+00:05:57,420 --> 00:06:00,300
+certain area that I call the point spread function
+
+99
+00:06:00,300 --> 00:06:03,080
+of the area in the image or part of the image, it
+
+100
+00:06:03,080 --> 00:06:05,020
+means that I must know its limits. In order to
+
+101
+00:06:05,020 --> 00:06:09,080
+know its limits, I must follow literally exact ray
+
+102
+00:06:09,080 --> 00:06:14,440
+tracing for hundreds of rays must be exactly
+
+103
+00:06:14,440 --> 00:06:16,880
+traced in order to know the limits of the point
+
+104
+00:06:16,880 --> 00:06:21,820
+spread function.How do we know image quality? We
+
+105
+00:06:21,820 --> 00:06:25,760
+define point spread function, if it's too small,
+
+106
+00:06:26,120 --> 00:06:28,880
+image quality will be higher, if it's too big,
+
+107
+00:06:29,080 --> 00:06:31,880
+image quality will be lower. Because if point
+
+108
+00:06:31,880 --> 00:06:33,720
+spread function is too big, the interaction
+
+109
+00:06:33,720 --> 00:06:39,980
+between point spread functions will be higher
+
+110
+00:06:39,980 --> 00:06:42,780
+because it's too big, and if it's too small, the
+
+111
+00:06:42,780 --> 00:06:43,300
+interaction between point spread functions will be
+
+112
+00:06:43,300 --> 00:06:46,300
+lower.Of course, the scientists were very
+
+113
+00:06:46,300 --> 00:06:49,440
+realistic in this field, they said, well, we are
+
+114
+00:06:49,440 --> 00:06:53,080
+basically unable to create an optical system or a
+
+115
+00:06:53,080 --> 00:06:55,380
+lens or a refracting service that gives me high
+
+116
+00:06:55,380 --> 00:06:59,740
+image quality, so why should I bother with image
+
+117
+00:06:59,740 --> 00:07:04,700
+equality?To determine the point spread function,
+
+118
+00:07:05,040 --> 00:07:06,920
+or let's read from the beginning, ignoring image
+
+119
+00:07:06,920 --> 00:07:09,380
+quality is the first thing in the first order
+
+120
+00:07:09,380 --> 00:07:13,880
+optics, the first thing in the first order optics
+
+121
+00:07:13,880 --> 00:07:16,200
+system that scientists adopted is ignoring image
+
+122
+00:07:16,200 --> 00:07:21,380
+qualityTo determine image quality,
+
+123
+00:07:23,540 --> 00:07:27,160
+it is necessary to know how light from a single
+
+124
+00:07:27,160 --> 00:07:30,180
+object
+
+125
+00:07:30,180 --> 00:07:34,800
+point is distributed in the image, to know the
+
+126
+00:07:34,800 --> 00:07:37,990
+point spread functionIn order to define Point
+
+127
+00:07:37,990 --> 00:07:41,310
+Spread Function, hundreds of rays must be
+
+128
+00:07:41,310 --> 00:07:42,550
+accurately traced
+
+129
+00:07:57,750 --> 00:08:00,310
+In Gauss's time, which is of course what we said
+
+130
+00:08:00,310 --> 00:08:02,750
+about the first order optics, which means that its
+
+131
+00:08:02,750 --> 00:08:05,950
+legacy basically goes back to the scientist Karl
+
+132
+00:08:05,950 --> 00:08:09,670
+Gauss and the scientists of his time. We say, in
+
+133
+00:08:09,670 --> 00:08:14,110
+Gauss's days, manufacturing techniques rather than
+
+134
+00:08:14,110 --> 00:08:17,600
+optical system design limited the image quality.in
+
+135
+00:08:17,600 --> 00:08:21,600
+that period of time, the manufacturing methods of
+
+136
+00:08:21,600 --> 00:08:25,020
+optical systems used to give me or produce optical
+
+137
+00:08:25,020 --> 00:08:29,060
+systems, lenses that do not give high quality in
+
+138
+00:08:29,060 --> 00:08:31,120
+the picture, so therefore I do not concern myself
+
+139
+00:08:31,120 --> 00:08:32,880
+with the quality of the picture and I am not able
+
+140
+00:08:32,880 --> 00:08:41,140
+to get a high picture qualityThis is also similar
+
+141
+00:08:41,140 --> 00:08:45,200
+to our general life, I have 4 or 5 cars in my
+
+142
+00:08:45,200 --> 00:08:48,660
+parking lot and they are all used and used cars
+
+143
+00:08:48,660 --> 00:08:52,040
+and they all drive and they can go from Gaza city
+
+144
+00:08:52,040 --> 00:08:55,200
+to Khan Younes city for example, so there is no
+
+145
+00:08:55,200 --> 00:08:57,440
+difference if we want to drive the first car or
+
+146
+00:08:57,440 --> 00:08:59,260
+the second or the third or the fourth, they are
+
+147
+00:08:59,260 --> 00:09:02,400
+all used and used cars and they all serve the
+
+148
+00:09:02,400 --> 00:09:04,780
+purpose and there is no distinction between them,
+
+149
+00:09:05,220 --> 00:09:09,250
+so any carBet .. bet .. bet .. bet .. betafi ..
+
+150
+00:09:09,250 --> 00:09:15,630
+betafi .. betafi .. betafi
+
+151
+00:09:15,630 --> 00:09:15,730
+.. betafi .. betafi .. betafi .. betafi .. betafi
+
+152
+00:09:15,730 --> 00:09:21,210
+.. betafi .. betafi .. betafi .. betafi .. betafi
+
+153
+00:09:21,210 --> 00:09:28,870
+.. betafi .. betafi
+
+154
+00:09:28,870 --> 00:09:30,830
+.. betafi .. betafi .. betafi .. betafi .. betafi
+
+155
+00:09:30,830 --> 00:09:32,290
+.. betafi .. betafi .. betafi .. betafi .. betafi
+
+156
+00:09:32,290 --> 00:09:34,370
+.. betafi .. betafi .. betafi .. betafi .. betafi
+
+157
+00:09:34,370 --> 00:09:34,450
+.. betafi .. betafi .. betafi .. betafi .. betafi
+
+158
+00:09:34,450 --> 00:09:35,850
+.. betafi .. betafi .. betafiI'm not able to make
+
+159
+00:09:35,850 --> 00:09:43,370
+high quality lenses, so why should I analyze the
+
+160
+00:09:43,370 --> 00:09:46,630
+image quality and draw hundreds of rays from an
+
+161
+00:09:46,630 --> 00:09:48,370
+object point and insert them into the optical
+
+162
+00:09:48,370 --> 00:09:52,370
+system and then apply Snell's law on each ray of
+
+163
+00:09:52,370 --> 00:09:55,540
+these rays? This is very tiring work.interestingly
+
+164
+00:09:55,540 --> 00:09:59,480
+instead in analyzing other image features such as
+
+165
+00:09:59,480 --> 00:10:02,960
+magnification and location and scientists said
+
+166
+00:10:02,960 --> 00:10:06,220
+let's stop with the rest of the image features
+
+167
+00:10:06,220 --> 00:10:08,420
+like location, which is the distance between the
+
+168
+00:10:08,420 --> 00:10:12,300
+image and the optical system and magnification,
+
+169
+00:10:12,760 --> 00:10:14,640
+which is the transfer of magnification, which is
+
+170
+00:10:14,640 --> 00:10:17,740
+the method of calculation, which is the method of
+
+171
+00:10:17,740 --> 00:10:18,260
+calculation
+
+172
+00:10:20,930 --> 00:10:27,070
+على كيف يعني بجيت صفات ال image بدون يعني مع تحييض
+
+173
+00:10:27,070 --> 00:10:32,350
+ال image equality مع تحييض ال image equality اذا
+
+174
+00:10:32,350 --> 00:10:36,310
+to determine all image characteristics except
+
+175
+00:10:36,310 --> 00:10:41,380
+image equality requires tracing only a few raysIf
+
+176
+00:10:41,380 --> 00:10:44,540
+image quality is ignored, analysis of optical
+
+177
+00:10:44,540 --> 00:10:48,300
+systems is reduced from tracing hundreds of rays
+
+178
+00:10:48,300 --> 00:10:50,200
+to tracing just two rays
+
+179
+00:10:53,840 --> 00:10:56,820
+In order to clarify the idea, when I want to
+
+180
+00:10:56,820 --> 00:10:59,820
+define that we want to study image quality, it
+
+181
+00:10:59,820 --> 00:11:01,660
+means that we have to define the point spread
+
+182
+00:11:01,660 --> 00:11:02,260
+function
+
+183
+00:11:23,920 --> 00:11:28,560
+Two rays, two rays, and the point of meeting the
+
+184
+00:11:28,560 --> 00:11:31,920
+two rays after leaving the optical system, after
+
+185
+00:11:31,920 --> 00:11:34,860
+breaking them and leaving the optical system, this
+
+186
+00:11:34,860 --> 00:11:37,580
+point is considered the area of ​​the image, the
+
+187
+00:11:37,580 --> 00:11:40,480
+distance from the meeting of the two rays to the
+
+188
+00:11:40,480 --> 00:11:43,480
+optical system is considered the image distance or
+
+189
+00:11:43,480 --> 00:11:45,580
+image location, and greater than the image
+
+190
+00:11:45,580 --> 00:11:48,620
+distance, I get the magnification, because the
+
+191
+00:11:48,620 --> 00:11:50,960
+magnification equals the image distance over the
+
+192
+00:11:50,960 --> 00:11:55,500
+object distanceSo, neglecting image quality, or
+
+193
+00:11:55,500 --> 00:12:00,020
+putting it aside, reduced my tracking of rays from
+
+194
+00:12:00,020 --> 00:12:03,240
+having to track hundreds of rays to determine the
+
+195
+00:12:03,240 --> 00:12:06,660
+limits of the point spread function, to only
+
+196
+00:12:06,660 --> 00:12:10,760
+tracking two rays accurately. Okay, someone might
+
+197
+00:12:10,760 --> 00:12:13,640
+say now the case is solved and everything is very
+
+198
+00:12:13,640 --> 00:12:18,640
+simple.We say that in Carl Gauss era, when the
+
+199
+00:12:18,640 --> 00:12:23,340
+optical system was made up of many lenses, just by
+
+200
+00:12:23,340 --> 00:12:26,400
+tracking two rays, it was also considered a
+
+201
+00:12:26,400 --> 00:12:28,740
+masterpiece. And we will talk about why it was a
+
+202
+00:12:28,740 --> 00:12:32,930
+masterpiece when we talk about ..To this point, we
+
+203
+00:12:32,930 --> 00:12:37,570
+will explain why just tracking two rays is tiring
+
+204
+00:12:37,570 --> 00:12:41,850
+especially if the optical system is made up of
+
+205
+00:12:41,850 --> 00:12:45,950
+many lenses. Aside from that, when we neglected
+
+206
+00:12:45,950 --> 00:12:51,430
+image quality, the huge number of rays that I was
+
+207
+00:12:51,430 --> 00:12:55,930
+supposed to track accurately and do exact ray
+
+208
+00:12:55,930 --> 00:12:58,940
+tracing,In order to determine the limits of point
+
+209
+00:12:58,940 --> 00:13:02,460
+spread function of one point of the object When we
+
+210
+00:13:02,460 --> 00:13:04,780
+reduced it to two pixels by neglecting the image
+
+211
+00:13:04,780 --> 00:13:08,560
+quality The situation became much easier But there
+
+212
+00:13:08,560 --> 00:13:11,300
+are still some difficulties And these difficulties
+
+213
+00:13:11,300 --> 00:13:14,340
+scientists said that we must overcome them in
+
+214
+00:13:14,340 --> 00:13:19,580
+order to simplify or understand the science of
+
+215
+00:13:19,580 --> 00:13:22,820
+geometric optics So the first point in the first
+
+216
+00:13:22,820 --> 00:13:33,210
+order opticsIgnore image equality In Gauss's time
+
+217
+00:13:33,910 --> 00:13:38,550
+In Gauss's time, exactly tracing even two rays was
+
+218
+00:13:38,550 --> 00:13:45,310
+daunting task especially
+
+219
+00:13:45,310 --> 00:13:49,550
+if the optical system consisted of several lenses
+
+220
+00:14:04,000 --> 00:14:08,200
+ومرتين ع السطح الخلفي يعني أربع مرات لو عندي عدسة
+
+221
+00:14:08,200 --> 00:14:11,820
+تانية بده تضافلها كمان أربع عدسة تالتة كمان أربع
+
+222
+00:14:11,820 --> 00:14:15,200
+طبعا ممكن سانيقول ما أطبق ال snails law هذا شغلة
+
+223
+00:14:15,200 --> 00:14:20,040
+بسيطة لأ مش بسيطة السطوح المنحنية السطوح المنحنية
+
+224
+00:14:20,040 --> 00:14:23,680
+عشان أعرف زاوية السقوط عليها لازم أرسم ال
+
+225
+00:14:23,680 --> 00:14:27,930
+coordinate system اللي هو الإحداثياتOr the three
+
+226
+00:14:27,930 --> 00:14:32,830
+dimensions which are X, Y and Z at the point where
+
+227
+00:14:32,830 --> 00:14:35,510
+the beam hits the surface of this refracting
+
+228
+00:14:35,510 --> 00:14:38,810
+surface or lens Therefore, this process is not
+
+229
+00:14:38,810 --> 00:14:43,090
+easy even if we shorten it to just two beams
+
+230
+00:14:43,090 --> 00:14:47,150
+Scientists moved to the second point of
+
+231
+00:14:47,150 --> 00:14:49,930
+simplification and facilitation in this science Or
+
+232
+00:14:49,930 --> 00:14:54,710
+the second partFrom the system of first order
+
+233
+00:14:54,710 --> 00:14:58,030
+optics, we said that first order optics is a
+
+234
+00:14:58,030 --> 00:15:01,350
+system of equations and calculations that makes it
+
+235
+00:15:01,350 --> 00:15:03,730
+easier to understand the science of geometric
+
+236
+00:15:03,730 --> 00:15:05,850
+optics The first thing we talked about was
+
+237
+00:15:05,850 --> 00:15:09,130
+ignoring image quality, now we want to talk about
+
+238
+00:15:09,130 --> 00:15:11,950
+something else, which is number 2, the paraxial
+
+239
+00:15:11,950 --> 00:15:16,610
+approximationParaaxial Approximation When we say
+
+240
+00:15:16,610 --> 00:15:20,370
+paraaxial, it means adjacent to the optical axis
+
+241
+00:15:20,370 --> 00:15:23,790
+Adjacent to the optical axis We say to exactly
+
+242
+00:15:23,790 --> 00:15:27,370
+trace a ray through a refracting surface We need
+
+243
+00:15:27,370 --> 00:15:30,930
+to establish a coordinate system In order to track
+
+244
+00:15:30,930 --> 00:15:34,790
+our rays, here we are not tracing the rays
+
+245
+00:15:34,790 --> 00:15:38,030
+directly We are not tracing the rays, but if I
+
+246
+00:15:38,030 --> 00:15:41,790
+have a single refracting surfaceThis is a glass
+
+247
+00:15:41,790 --> 00:15:48,910
+rod drawn in blue To track our rays Let's say I'm
+
+248
+00:15:48,910 --> 00:15:53,050
+pointing at the ray Or let's draw a ray To track a
+
+249
+00:15:53,050 --> 00:15:55,710
+ray For example, it should hit the refracting
+
+250
+00:15:55,710 --> 00:15:59,350
+surface at this point Let's make the ray another
+
+251
+00:15:59,350 --> 00:16:05,170
+color To
+
+252
+00:16:05,170 --> 00:16:06,170
+track the ray
+
+253
+00:16:39,740 --> 00:16:44,130
+Let's look at the enlarged pictureو Y شرطة طبعا X
+
+254
+00:16:44,130 --> 00:16:48,610
+هنا .. X هنا عمودي على سطح المكتب عمودي على سطح
+
+255
+00:16:48,610 --> 00:16:52,990
+المكتب يعني باتجاه الإنسان اللي قاعد على مقابل
+
+256
+00:16:52,990 --> 00:16:57,490
+الشاشة بتاعة ال laptop أو ال computer Z على سطح
+
+257
+00:16:57,490 --> 00:17:02,050
+المكتب بشكل أفقي و Y على سطح المكتب بشكل عمودي و
+
+258
+00:17:02,050 --> 00:17:07,110
+عمودي عليه على سطح المكتب يعني يخترق من اتجاه
+
+259
+00:17:07,110 --> 00:17:13,210
+الناظر باتجاهSo these are the main objectivesThese
+
+260
+00:17:13,210 --> 00:17:16,310
+main innovations are applied to the optical axis
+
+261
+00:17:16,310 --> 00:17:19,270
+of the system. Of course, the optical axis, we all
+
+262
+00:17:19,270 --> 00:17:22,770
+know what is the optical axis. Of course, the
+
+263
+00:17:22,770 --> 00:17:28,330
+beam, which is seen, which is drawn in red, hit
+
+264
+00:17:28,330 --> 00:17:30,550
+the refracting surface at this point and it became
+
+265
+00:17:30,550 --> 00:17:33,390
+broken. In order to know its direction inside the
+
+266
+00:17:33,390 --> 00:17:37,210
+glass, I must first know the angle of fall. In
+
+267
+00:17:37,210 --> 00:17:41,160
+order to know the angle of fall, I must drawلازم
+
+268
+00:17:41,160 --> 00:17:46,800
+أرسم إحداثيات فرعيةequal to the basic priorities
+
+269
+00:17:46,800 --> 00:17:52,280
+of the system as all its priorities in space of
+
+270
+00:17:52,280 --> 00:17:54,880
+course this is not easy this is something that
+
+271
+00:17:54,880 --> 00:17:57,140
+requires the intervention of mathematics in this
+
+272
+00:17:57,140 --> 00:18:02,420
+matter so to exactly trace in order to follow a
+
+273
+00:18:02,420 --> 00:18:05,340
+beam through a refracting surface we need to
+
+274
+00:18:05,340 --> 00:18:08,520
+establish a coordinate system by convention
+
+275
+00:18:08,520 --> 00:18:12,650
+according to what is known to himThe origin of the
+
+276
+00:18:12,650 --> 00:18:15,910
+coordinate system is located at the vertex, the
+
+277
+00:18:15,910 --> 00:18:19,190
+point where the optical axis intersects the
+
+278
+00:18:19,190 --> 00:18:19,670
+surface.
+
+279
+00:18:36,580 --> 00:18:41,680
+also by convention the y-axis is vertical the z
+
+280
+00:18:41,680 --> 00:18:45,700
+-axis coincides with the optical axis and the x
+
+281
+00:18:45,700 --> 00:18:48,060
+-axis is perpendicular to the page
+
+282
+00:18:52,630 --> 00:18:56,110
+The optical axis, the y-axis is vertical but it
+
+283
+00:18:56,110 --> 00:18:58,990
+comes to the exact surface of the desk, both come
+
+284
+00:18:58,990 --> 00:19:02,470
+to y and z, and the x is vertical on the surface
+
+285
+00:19:02,470 --> 00:19:05,010
+of the desk, vertical on the surface of the desk
+
+286
+00:19:05,010 --> 00:19:07,870
+or on the surface of the paper if we explain on
+
+287
+00:19:07,870 --> 00:19:13,650
+paper, that is written. I also have y and z, z is
+
+288
+00:19:13,650 --> 00:19:16,710
+applied to the optical axis and y is vertical but
+
+289
+00:19:16,710 --> 00:19:18,970
+both are on the surface of the desk and x is
+
+290
+00:19:18,970 --> 00:19:24,150
+vertical on the surface of the desk.an object
+
+291
+00:19:24,150 --> 00:19:29,050
+point is selected and a ray is drawn from the
+
+292
+00:19:29,050 --> 00:19:32,810
+object point to the refracting surface as we draw
+
+293
+00:19:32,810 --> 00:19:36,770
+now we choose an object point let's call it point
+
+294
+00:19:36,770 --> 00:19:45,610
+A point A as we used to
+
+295
+00:19:45,610 --> 00:19:49,490
+draw from point A of the object we draw
+
+296
+00:19:56,350 --> 00:20:00,810
+an object point is selected and a ray is drawn
+
+297
+00:20:00,810 --> 00:20:04,420
+from the object point to the refracting surfaceThe
+
+298
+00:20:04,420 --> 00:20:08,480
+first difficulty in making an exact ray trace is
+
+299
+00:20:08,480 --> 00:20:12,900
+determining the precise coordinates Y and Z where
+
+300
+00:20:12,900 --> 00:20:16,280
+the ray strikes the refracting surface.
+
+301
+00:20:38,060 --> 00:20:43,060
+The formula for finding the intersection of array
+
+302
+00:20:43,060 --> 00:20:46,260
+with a spherical surface requires fairly
+
+303
+00:20:46,260 --> 00:20:50,340
+complicated calculations involving square roots.
+
+304
+00:20:54,930 --> 00:20:57,910
+I want to enter into academic calculations and
+
+305
+00:20:57,910 --> 00:21:01,090
+curriculum, and this complicates the issue, not
+
+306
+00:21:01,090 --> 00:21:03,850
+makes it easier. I mean, it's true that we made it
+
+307
+00:21:03,850 --> 00:21:07,050
+easier. We simplified hundreds of things into two
+
+308
+00:21:07,050 --> 00:21:10,250
+chapters, but still working with two chapters is
+
+309
+00:21:10,250 --> 00:21:13,650
+also a difficult subject and not easy, and science
+
+310
+00:21:13,650 --> 00:21:15,990
+and mathematics need to intervene in this subject.
+
+311
+00:21:18,650 --> 00:21:21,610
+Instead of tracing a ray through an optical
+
+312
+00:21:21,610 --> 00:21:25,150
+system, it is easier to deal with rays extremely
+
+313
+00:21:25,150 --> 00:21:29,730
+close to the optical axis, so-called paraxial ray
+
+314
+00:21:48,740 --> 00:21:52,960
+Well, why did they choose the rays adjacent to the
+
+315
+00:21:52,960 --> 00:21:57,700
+optical axis and ignore the rays away from the
+
+316
+00:21:57,700 --> 00:22:00,440
+optical axis because there is a feature of the
+
+317
+00:22:00,440 --> 00:22:05,680
+rays which is close to the optical axis? Let's see
+
+318
+00:22:05,680 --> 00:22:09,400
+this amount of rays coming out of one object
+
+319
+00:22:09,400 --> 00:22:14,190
+point, let's look at the upper drawingالرسمة
+
+320
+00:22:14,190 --> 00:22:18,570
+العليا هنا الـ Paraxial region يعني هذه المنطقة
+
+321
+00:22:18,570 --> 00:22:22,770
+بتشمل الأشعة الـ Paraxial rays يعني الأشعة
+
+322
+00:22:22,770 --> 00:22:26,890
+المجاورة للـ optical axis
+
+323
+00:22:27,970 --> 00:22:32,550
+while this distant area and this distant area is
+
+324
+00:22:32,550 --> 00:22:36,670
+considered peripheral rays or non-paraxial region
+
+325
+00:22:36,670 --> 00:22:39,030
+Why did scientists say that we should ignore
+
+326
+00:22:39,030 --> 00:22:43,250
+peripheral rays and shorten our studies to reach
+
+327
+00:22:43,250 --> 00:22:45,450
+the rest of the image characteristics on the
+
+328
+00:22:45,450 --> 00:22:47,710
+paraxial ray because there is a feature of the
+
+329
+00:22:47,710 --> 00:22:50,910
+paraxial
+
+330
+00:22:50,910 --> 00:22:57,110
+rayHere I have the para axial rays in another
+
+331
+00:22:57,110 --> 00:22:57,550
+picture
+
+332
+00:23:06,860 --> 00:23:10,200
+Peripheral ray Here, para axial ray is parallel to
+
+333
+00:23:10,200 --> 00:23:13,260
+the optical axis And here, peripheral ray is far
+
+334
+00:23:13,260 --> 00:23:15,280
+from the optical axis You can say that it is
+
+335
+00:23:15,280 --> 00:23:18,140
+parallel to this point, to the tipping point This
+
+336
+00:23:18,140 --> 00:23:21,560
+is not called, to call it para axial ray, the beam
+
+337
+00:23:21,560 --> 00:23:24,200
+must be parallel to the length of the line Not
+
+338
+00:23:24,200 --> 00:23:26,480
+necessarily parallel, it can be parallel to the
+
+339
+00:23:26,480 --> 00:23:30,400
+optical axis Or it can have a slight angle between
+
+340
+00:23:30,400 --> 00:23:34,500
+themmeans not parallel, but adjacent to it and
+
+341
+00:23:34,500 --> 00:23:36,760
+adjacent to it and adjacent to it along the line
+
+342
+00:23:36,760 --> 00:23:39,100
+from the starting point until it reaches the
+
+343
+00:23:39,100 --> 00:23:41,860
+optical system if it starts adjacent to the
+
+344
+00:23:41,860 --> 00:23:44,080
+optical axis and then goes away, this is called
+
+345
+00:23:44,080 --> 00:23:47,990
+peripheral ray if I have an extended objectI mean
+
+346
+00:23:47,990 --> 00:23:50,690
+for example a candle or something and it took a
+
+347
+00:23:50,690 --> 00:23:54,150
+point from the top of the candle and one of the
+
+348
+00:23:54,150 --> 00:23:57,690
+candles started from A and reached and hit the
+
+349
+00:23:57,690 --> 00:24:01,370
+optical system in the lens near the optical axis
+
+350
+00:24:01,370 --> 00:24:03,630
+which is also not called adjacent because it is ..
+
+351
+00:24:04,490 --> 00:24:06,610
+means that there is a period of time that his
+
+352
+00:24:06,610 --> 00:24:10,170
+money is away from the optical axis in order to
+
+353
+00:24:10,170 --> 00:24:12,990
+call it para-axial ray it is very important that
+
+354
+00:24:12,990 --> 00:24:16,190
+the line is always adjacent to the optical axis
+
+355
+00:24:16,190 --> 00:24:18,690
+and this will give me a benefit or why scientists
+
+356
+00:24:18,690 --> 00:24:22,690
+chose to deal with the optical or with the para
+
+357
+00:24:22,690 --> 00:24:27,060
+-axial ray and nothing elseInstead of tracing a
+
+358
+00:24:27,060 --> 00:24:30,880
+ray through an optical system, it is easier to
+
+359
+00:24:30,880 --> 00:24:34,600
+deal with rays extremely close to the optical axis
+
+360
+00:24:47,830 --> 00:24:51,790
+The portion of the refracting surface near the
+
+361
+00:24:51,790 --> 00:24:56,910
+optical axis may be treated as flat. Just as the
+
+362
+00:24:56,910 --> 00:25:00,410
+earth's surface seems flat to a human observer, a
+
+363
+00:25:00,410 --> 00:25:04,450
+refracting surface seems flat to a paraxial ray.
+
+364
+00:25:06,500 --> 00:25:12,520
+this part of
+
+365
+00:25:12,520 --> 00:25:18,940
+the surface of the refracting surface which is
+
+366
+00:25:18,940 --> 00:25:21,820
+very close to the optical axis this part of the
+
+367
+00:25:21,820 --> 00:25:24,480
+surface of the lens which is very close to the
+
+368
+00:25:24,480 --> 00:25:29,300
+optical axis can be treated as flat here I took
+
+369
+00:25:29,300 --> 00:25:34,680
+this part and cut it and enlarged it hereOf
+
+370
+00:25:34,680 --> 00:25:38,420
+course, these rays and these rays are very close
+
+371
+00:25:38,420 --> 00:25:44,000
+to the optical axis, but in order to clarify that
+
+372
+00:25:44,000 --> 00:25:46,140
+they are rays and that there is a small angle
+
+373
+00:25:46,140 --> 00:25:48,080
+between them, we extended the image vertically.
+
+374
+00:25:50,340 --> 00:25:54,560
+This image, we cut a part of it in the way we see
+
+375
+00:25:54,560 --> 00:25:57,830
+it.and we extended it vertically and we enlarged
+
+376
+00:25:57,830 --> 00:26:01,690
+it vertically the vertical drawing we enlarged it
+
+377
+00:26:01,690 --> 00:26:03,310
+vertically and we enlarged it vertically just to
+
+378
+00:26:03,310 --> 00:26:06,690
+clarify the idea this part of the surface for the
+
+379
+00:26:06,690 --> 00:26:10,950
+para-axial ray can exceed and almost we said the
+
+380
+00:26:10,950 --> 00:26:13,630
+approximation is what is dependent on this subject
+
+381
+00:26:13,630 --> 00:26:18,330
+we can consider it flat for the para-axial ray or
+
+382
+00:26:18,330 --> 00:26:22,350
+we consider the para-axial ray if a person falls
+
+383
+00:26:22,350 --> 00:26:25,060
+with an umbrella on the groundThe surface of the
+
+384
+00:26:25,060 --> 00:26:27,340
+earth is spherical, but this person who is very
+
+385
+00:26:27,340 --> 00:26:30,360
+small in size compared to the surface of the
+
+386
+00:26:30,360 --> 00:26:34,120
+entire earth, it is clear that he looks down into
+
+387
+00:26:34,120 --> 00:26:37,560
+the darkness and sees the earth as if it were a
+
+388
+00:26:37,560 --> 00:26:42,100
+flat surface. On the same scale, the para-axial
+
+389
+00:26:42,100 --> 00:26:47,680
+ray is a very small thing. When it falls on the
+
+390
+00:26:47,680 --> 00:26:50,280
+para-axial region in the lens or in the spherical
+
+391
+00:26:50,280 --> 00:26:53,910
+refracting surface,It is possible to consider this
+
+392
+00:26:53,910 --> 00:26:57,230
+surface as a very large surface, it is possible to
+
+393
+00:26:57,230 --> 00:27:01,250
+consider this area as flat as the area on which it
+
+394
+00:27:01,250 --> 00:27:04,210
+fell. So, scientists said that the first thing we
+
+395
+00:27:04,210 --> 00:27:08,030
+will do is ignoring image quality. Excellent. This
+
+396
+00:27:08,030 --> 00:27:11,710
+is short for 200 or 300 rays, not two rays. Now I
+
+397
+00:27:11,710 --> 00:27:14,170
+want to simplify it more. I want to choose the two
+
+398
+00:27:14,170 --> 00:27:16,290
+rays not far from the optical axis. I want to
+
+399
+00:27:16,290 --> 00:27:21,340
+choose them close to the optical axis. Why?The
+
+400
+00:27:21,340 --> 00:27:24,180
+paraxial ray is the surface of the spherical
+
+401
+00:27:24,180 --> 00:27:27,300
+refracting surface, which is flat to them, just
+
+402
+00:27:27,300 --> 00:27:30,160
+like the surface of the earth is considered to be
+
+403
+00:27:30,160 --> 00:27:31,600
+flat to the human observer. For example, if a
+
+404
+00:27:31,600 --> 00:27:35,860
+person comes down from a building or a tower, the
+
+405
+00:27:35,860 --> 00:27:37,520
+surface of the earth appears to be flat to him,
+
+406
+00:27:37,760 --> 00:27:40,140
+despite the fact that the surface of the earth is
+
+407
+00:27:40,140 --> 00:27:42,340
+round. Why does the surface of the earth appear to
+
+408
+00:27:42,340 --> 00:27:46,160
+be flat to him? Because it is very, very small
+
+409
+00:27:46,160 --> 00:27:47,500
+compared to the surface of the earth.
+
+410
+00:27:53,290 --> 00:27:55,650
+paraxial ray is considered to be very small
+
+411
+00:27:55,650 --> 00:28:01,950
+compared to the lens. If we agree on this point,
+
+412
+00:28:02,970 --> 00:28:05,550
+or scientists agree on this point, that the
+
+413
+00:28:05,550 --> 00:28:09,950
+surface of the lens at the optical axis is almost
+
+414
+00:28:09,950 --> 00:28:14,190
+flat, almost flat, then when I say that this
+
+415
+00:28:14,190 --> 00:28:19,980
+paraxial ray hits the point C,In a flat surface,
+
+416
+00:28:20,360 --> 00:28:24,640
+it is enough to say that this point C is away from
+
+417
+00:28:24,640 --> 00:28:29,160
+the optical axis H And we're done, I don't want to
+
+418
+00:28:29,160 --> 00:28:32,020
+build a basic coordinate system or sub-system,
+
+419
+00:28:32,080 --> 00:28:35,100
+this is the work that I want to confuse myself in,
+
+420
+00:28:35,180 --> 00:28:37,840
+this is the coordinate system, the basic events,
+
+421
+00:28:38,180 --> 00:28:43,510
+and I want sub-eventsI follow the red line for
+
+422
+00:28:43,510 --> 00:28:46,830
+example, I don't want to draw two systems, one
+
+423
+00:28:46,830 --> 00:28:50,390
+basic and one sub-system. No, I want to consider
+
+424
+00:28:50,390 --> 00:28:53,900
+the surface at the para-axial region flatYou
+
+425
+00:28:53,900 --> 00:28:55,820
+consider it flat, and it is enough for me to say
+
+426
+00:28:55,820 --> 00:28:59,900
+that the C-ray, the C-ray hit at a point that is
+
+427
+00:28:59,900 --> 00:29:03,020
+flat on the surface, and this flat surface or this
+
+428
+00:29:03,020 --> 00:29:07,720
+point that is H away from the optical axis, and
+
+429
+00:29:07,720 --> 00:29:11,180
+that's how we simplify calculations and cancel out
+
+430
+00:29:11,180 --> 00:29:13,360
+the topic of modernity and the roots of education
+
+431
+00:29:13,360 --> 00:29:15,700
+and so on and so forth
+
+432
+00:29:19,760 --> 00:29:22,580
+هذه مثال على ال para axial ray، طبعا السطح هنا
+
+433
+00:29:22,580 --> 00:29:26,320
+تقريبا flat بالنسبة لل para axial ray، و هنا هيكون
+
+434
+00:29:26,320 --> 00:29:31,060
+أكثر انحناء، أكثر انحناء عند ال periphery، أكثر
+
+435
+00:29:31,060 --> 00:29:33,940
+انحناء عند ال periphery، يعني هنا عند ال .. عند ال
+
+436
+00:29:33,940 --> 00:29:37,480
+.. ال optical axis تقريبا flat، بنقولش flat،
+
+437
+00:29:37,480 --> 00:29:40,940
+تقريبا approximation، و بنكونش بعيدنا كتير عن
+
+438
+00:29:40,940 --> 00:29:41,820
+الصحيح
+
+439
+00:29:45,390 --> 00:29:48,790
+For a ray to be para-axial, it must hug the
+
+440
+00:29:48,790 --> 00:29:52,250
+optical axis over its entire course from the
+
+441
+00:29:52,250 --> 00:29:53,190
+object to the image
+
+442
+00:30:12,860 --> 00:30:16,860
+A ray from an object point far off-axis is not
+
+443
+00:30:16,860 --> 00:30:20,200
+para-axial even if it strikes the refracting
+
+444
+00:30:20,200 --> 00:30:21,620
+surface near the axis.
+
+445
+00:30:35,660 --> 00:30:39,800
+لا يعتبر para axial ray. Treating a lens as a flat
+
+446
+00:30:39,800 --> 00:30:45,400
+plane instead of a sphere eliminates the
+
+447
+00:30:45,400 --> 00:30:48,880
+calculation necessary to find the intersection of
+
+448
+00:30:48,880 --> 00:30:52,060
+the ray and the surface. لما أنا بتعامل مع السطح
+
+449
+00:30:52,060 --> 00:30:55,760
+عند ال optical axis مع سطح العدسة عند ال optical
+
+450
+00:30:55,760 --> 00:31:00,520
+axis على أساس أنه flat هذا بلغيلي قضية الحسابات
+
+451
+00:31:00,520 --> 00:31:03,980
+واني جيب ال coordinate الإحداثياتالأساسية
+
+452
+00:31:03,980 --> 00:31:07,060
+والإحداثيات الفرعية يعني في النقطة اللي ضرب فيها
+
+453
+00:31:07,060 --> 00:31:10,860
+الشعاع في السطح فبالتالي هذا الكلام كله بيلتذا
+
+454
+00:31:10,860 --> 00:31:23,110
+ويكفيThe intersection of
+
+455
+00:31:23,110 --> 00:31:26,690
+the ray with the surface is specified simply as
+
+456
+00:31:26,690 --> 00:31:28,770
+the distance from the optical axis
+
+457
+00:31:42,690 --> 00:31:48,550
+هذا الشعاع برق Axial خلينا نعطيلهanother color,
+
+458
+00:31:48,870 --> 00:31:52,450
+this is the para-axial beam, which is the falling
+
+459
+00:31:52,450 --> 00:31:56,290
+beam, and we considered the spherical refracting
+
+460
+00:31:56,290 --> 00:31:59,490
+surface at the optical axis flat, of course, the
+
+461
+00:31:59,490 --> 00:32:02,010
+picture is rotated vertically to clarify the idea,
+
+462
+00:32:02,110 --> 00:32:05,950
+if we don't rotate it vertically, all these lines
+
+463
+00:32:05,950 --> 00:32:07,630
+will appear to be very intertwined with each other
+
+464
+00:32:07,630 --> 00:32:10,570
+because they are very close to each other, from
+
+465
+00:32:10,570 --> 00:32:15,230
+each other to each other, and thereforeيعني هذا
+
+466
+00:32:15,230 --> 00:32:19,270
+الكلام بده يكون واضح انه هذه المنطقة صغيرة جدا
+
+467
+00:32:19,270 --> 00:32:22,450
+قريبة جدا من ال optical axis يعني بتمتد من هنا لما
+
+468
+00:32:22,450 --> 00:32:26,990
+هنا بس احنا مطناها بشكل عمودي يكفي اقول ان الشعاع
+
+469
+00:32:26,990 --> 00:32:30,000
+اللي باللون الأحمر اللي هو الشعاع الساقطIn order
+
+470
+00:32:30,000 --> 00:32:33,320
+to deal with it, I don't want to bring up the
+
+471
+00:32:33,320 --> 00:32:35,260
+subjects, and compare them with the main topics,
+
+472
+00:32:36,000 --> 00:32:37,600
+and go deep into the roots of education. No, no.
+
+473
+00:32:37,800 --> 00:32:40,500
+All this talk has become unnecessary. I say the
+
+474
+00:32:40,500 --> 00:32:43,640
+red light hits the refracting surface at a point
+
+475
+00:32:43,640 --> 00:32:46,520
+away from the refracting surface, as we can see.
+
+476
+00:32:48,560 --> 00:32:53,460
+Only by doing this, I become not only ..I gave up
+
+477
+00:32:53,460 --> 00:32:56,940
+hundreds of rays when I did ignoring for image
+
+478
+00:32:56,940 --> 00:33:00,280
+quality Also, the two rays that remained with me
+
+479
+00:33:00,280 --> 00:33:06,180
+.. the two rays that remained with me .. For me,
+
+480
+00:33:06,900 --> 00:33:09,340
+the treatment affected me a lot when I considered
+
+481
+00:33:09,340 --> 00:33:11,540
+.. When I considered that the two rays .. I didn't
+
+482
+00:33:11,540 --> 00:33:13,300
+take them as a peripheral ray, I took them as a
+
+483
+00:33:13,300 --> 00:33:16,960
+para axial ray To consider the surface flat, and
+
+484
+00:33:16,960 --> 00:33:19,140
+instead of drawing the need to say, by God, the
+
+485
+00:33:19,140 --> 00:33:25,320
+first rayالشعاع الأول ضرب في ال refracting surface
+
+486
+00:33:25,320 --> 00:33:29,740
+ضرب في ال refracting surface بعيد في منطقة أو عند
+
+487
+00:33:29,740 --> 00:33:34,340
+نقطة تبعد مسافة H عن ال optical axis عن ال optical
+
+488
+00:33:34,340 --> 00:33:38,280
+axis ممكن إنسان يتسأل يقول طب يا عم الشعاع التاني
+
+489
+00:33:38,280 --> 00:33:41,720
+وين احنا عشان تتكون صورة أقل إشي لازم شعاعين الحد
+
+490
+00:33:41,720 --> 00:33:44,820
+الأدنى يعني بنفع الشعاع واحد يلتقي مع ذاته لازم
+
+491
+00:33:44,820 --> 00:33:49,130
+شعاعين ومنطقة تقاطعهمAnd the intersection point
+
+492
+00:33:49,130 --> 00:33:51,630
+here is called the image We say that the second
+
+493
+00:33:51,630 --> 00:33:55,470
+ray is perfectly aligned with the optical axis As
+
+494
+00:33:55,470 --> 00:33:58,730
+long as it is perfectly aligned with the white
+
+495
+00:33:58,730 --> 00:34:01,310
+color With the white color Let's give it another
+
+496
+00:34:01,310 --> 00:34:04,770
+color to make things clear Let's make it yellow
+
+497
+00:34:04,770 --> 00:34:13,110
+The ray And here with the red colorThese two rays,
+
+498
+00:34:13,690 --> 00:34:16,830
+the red one broke inside the chicken, and the
+
+499
+00:34:16,830 --> 00:34:20,130
+yellow one remained in its path. We will say why
+
+500
+00:34:20,130 --> 00:34:21,410
+they remained in their path without breaking.
+
+501
+00:34:21,650 --> 00:34:23,930
+Their meeting point is the image area. The image
+
+502
+00:34:23,930 --> 00:34:27,130
+will be at this point. So why is the yellow ray,
+
+503
+00:34:27,270 --> 00:34:29,710
+which is adjacent to the optical axis, did not
+
+504
+00:34:29,710 --> 00:34:31,930
+undergo any change? Because we should not forget
+
+505
+00:34:31,930 --> 00:34:34,270
+that this is a spherical refracting surface. This
+
+506
+00:34:34,270 --> 00:34:37,460
+is a sphere.This is the center of the ball. It is
+
+507
+00:34:37,460 --> 00:34:39,240
+true that we assumed from the approximation that
+
+508
+00:34:39,240 --> 00:34:42,200
+this surface is flat, but in the end it is
+
+509
+00:34:42,200 --> 00:34:45,560
+spherical. And any line that extends from the
+
+510
+00:34:45,560 --> 00:34:47,260
+center of the ball to the surface is considered
+
+511
+00:34:47,260 --> 00:34:49,480
+vertical on the surface. So this yellow light fell
+
+512
+00:34:49,480 --> 00:34:53,320
+vertically, this yellow light fell vertically, so
+
+513
+00:34:53,320 --> 00:34:55,300
+it will not change its path, but it will slow down
+
+514
+00:34:55,300 --> 00:34:57,940
+its speed in the ball and remain straight in the
+
+515
+00:34:57,940 --> 00:35:00,460
+same direction without changing anything other
+
+516
+00:35:00,460 --> 00:35:04,860
+than speed.الان هذا الشعاع الأحمر سقط بزاوية سقوط
+
+517
+00:35:04,860 --> 00:35:08,340
+صغيرة جدا، على فكرة الزوايا هي صغيرة جدا، بس مبينة
+
+518
+00:35:08,340 --> 00:35:13,220
+إلها يعني قيمة كبيرة لأنه احنا مطينا الرسم عموديا
+
+519
+00:35:13,220 --> 00:35:17,820
+لتوضيح الفكرة، لتوضيح الفكرةSo this is the first
+
+520
+00:35:17,820 --> 00:35:20,760
+ray which is red and the second ray which is
+
+521
+00:35:20,760 --> 00:35:23,240
+yellow and they meet in the image, they intersect
+
+522
+00:35:23,240 --> 00:35:26,060
+in the image, the image is formed, I can calculate
+
+523
+00:35:26,060 --> 00:35:28,520
+the image distance and object distance, that is,
+
+524
+00:35:28,600 --> 00:35:31,980
+the image location and object location and get the
+
+525
+00:35:31,980 --> 00:35:34,620
+magnification from them, and so I calculate the
+
+526
+00:35:34,620 --> 00:35:37,060
+remaining image properties other than image
+
+527
+00:35:37,060 --> 00:35:42,630
+qualitySo far, scientists have used two
+
+528
+00:35:42,630 --> 00:35:44,030
+principles, the first one is to ignore image
+
+529
+00:35:44,030 --> 00:35:46,530
+quality, and the second one is para axial
+
+530
+00:35:46,530 --> 00:35:51,190
+approximation The para axial approximation is
+
+531
+00:35:51,190 --> 00:35:53,810
+summarized in two words only, not a third of them
+
+532
+00:35:53,810 --> 00:35:57,450
+That we will use as scientists the para axial ray,
+
+533
+00:35:57,570 --> 00:35:59,810
+not the peripheral ray, and we will consider the
+
+534
+00:35:59,810 --> 00:36:00,090
+surface
+
+535
+00:36:04,590 --> 00:36:09,410
+in comparison to paraaxial ray, flat, not curved,
+
+536
+00:36:09,490 --> 00:36:13,150
+flat, not curved to facilitate the task next time,
+
+537
+00:36:13,590 --> 00:36:20,450
+or let's read, next time we will takeThe third
+
+538
+00:36:20,450 --> 00:36:22,450
+thing that scientists did to simplify it even
+
+539
+00:36:22,450 --> 00:36:26,510
+more, which is called Small Angle Approximation,
+
+540
+00:36:26,510 --> 00:36:29,070
+which means this time we explained the ignoring
+
+541
+00:36:29,070 --> 00:36:31,590
+for image quality, and the second thing is the
+
+542
+00:36:31,590 --> 00:36:34,550
+Paraxial Approximation, God bless you all and
+
+543
+00:36:34,550 --> 00:36:35,510
+peace be upon you all
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/JynOvdHtkQI_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/JynOvdHtkQI_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..d04468ee29485272036e6e71917135dc9fd331d4
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/JynOvdHtkQI_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 1570, "start": 1.58, "end": 15.7, "text": "In the name of God, Most Gracious, Most Merciful. We continue with the lectures of Geometric Optics and we said that scientists in the 17th century found a system of equations and mathematical calculations", "tokens": [4575, 264, 1315, 295, 1265, 11, 4534, 20586, 851, 11, 4534, 18897, 2069, 13, 492, 2354, 365, 264, 16564, 295, 2876, 29470, 21455, 1167, 293, 321, 848, 300, 7708, 294, 264, 3282, 392, 4901, 1352, 257, 1185, 295, 11787, 293, 18894, 20448], "avg_logprob": -0.39861917911573896, "compression_ratio": 1.3945578231292517, "no_speech_prob": 1.52587890625e-05, "words": [{"start": 1.58, "end": 1.76, "word": "In", "probability": 0.70654296875}, {"start": 1.76, "end": 1.86, "word": " the", "probability": 0.923828125}, {"start": 1.86, "end": 1.86, "word": " name", "probability": 0.84716796875}, {"start": 1.86, "end": 1.9, "word": " of", "probability": 0.9755859375}, {"start": 1.9, "end": 2.0, "word": " God,", "probability": 0.5498046875}, {"start": 2.04, "end": 2.26, "word": " Most", "probability": 0.2210693359375}, {"start": 2.26, "end": 2.26, "word": " Gracious,", "probability": 0.850830078125}, {"start": 2.34, "end": 2.42, "word": " Most", "probability": 0.91015625}, {"start": 2.42, "end": 2.6, "word": " Merciful.", "probability": 0.8984375}, {"start": 3.18, "end": 3.8, "word": " We", "probability": 0.8583984375}, {"start": 3.8, "end": 4.22, "word": " continue", "probability": 0.58935546875}, {"start": 4.22, "end": 4.48, "word": " with", "probability": 0.68994140625}, {"start": 4.48, "end": 4.58, "word": " the", "probability": 0.474609375}, {"start": 4.58, "end": 4.88, "word": " lectures", "probability": 0.4013671875}, {"start": 4.88, "end": 5.18, "word": " of", "probability": 0.385986328125}, {"start": 5.18, "end": 5.64, "word": " Geometric", "probability": 0.7666015625}, {"start": 5.64, "end": 6.26, "word": " Optics", "probability": 0.97607421875}, {"start": 6.26, "end": 6.52, "word": " and", "probability": 0.267333984375}, {"start": 6.52, "end": 6.68, "word": " we", "probability": 0.81005859375}, {"start": 6.68, "end": 6.9, "word": " said", "probability": 0.26708984375}, {"start": 6.9, "end": 7.22, "word": " that", "probability": 0.8994140625}, {"start": 7.22, "end": 7.72, "word": " scientists", "probability": 0.490966796875}, {"start": 7.72, "end": 9.06, "word": " in", "probability": 0.61376953125}, {"start": 9.06, "end": 9.86, "word": " the", "probability": 0.8623046875}, {"start": 9.86, "end": 11.04, "word": " 17th", "probability": 0.66943359375}, {"start": 11.04, "end": 11.04, "word": " century", "probability": 0.923828125}, {"start": 11.04, "end": 12.84, "word": " found", "probability": 0.6298828125}, {"start": 12.84, "end": 13.2, "word": " a", "probability": 0.68359375}, {"start": 13.2, "end": 13.58, "word": " system", "probability": 0.82861328125}, {"start": 13.58, "end": 13.94, "word": " of", "probability": 0.87548828125}, {"start": 13.94, "end": 14.46, "word": " equations", "probability": 0.85888671875}, {"start": 14.46, "end": 14.84, "word": " and", "probability": 0.921875}, {"start": 14.84, "end": 15.64, "word": " mathematical", "probability": 0.5859375}, {"start": 15.64, "end": 15.7, "word": " calculations", "probability": 0.7314453125}], "temperature": 1.0}, {"id": 2, "seek": 3854, "start": 16.69, "end": 38.55, "text": "which made it easier to understand the science of geometric optics and made it easier to understand the journey of light from the object to the optical system, to the image This system of equations and mathematical calculations became known as the first order optics which is the basic stone for understanding geometry", "tokens": [13690, 1027, 309, 3571, 281, 1223, 264, 3497, 295, 33246, 42599, 293, 1027, 309, 3571, 281, 1223, 264, 4671, 295, 1442, 490, 264, 2657, 281, 264, 20674, 1185, 11, 281, 264, 3256, 639, 1185, 295, 11787, 293, 18894, 20448, 3062, 2570, 382, 264, 700, 1668, 42599, 597, 307, 264, 3875, 7581, 337, 3701, 18426], "avg_logprob": -0.44062498699535024, "compression_ratio": 1.8068181818181819, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 16.69, "end": 16.95, "word": "which", "probability": 0.2392578125}, {"start": 16.95, "end": 17.35, "word": " made", "probability": 0.2548828125}, {"start": 17.35, "end": 17.35, "word": " it", "probability": 0.467041015625}, {"start": 17.35, "end": 17.35, "word": " easier", "probability": 0.865234375}, {"start": 17.35, "end": 17.93, "word": " to", "probability": 0.70068359375}, {"start": 17.93, "end": 18.29, "word": " understand", "probability": 0.525390625}, {"start": 18.29, "end": 18.69, "word": " the", "probability": 0.2366943359375}, {"start": 18.69, "end": 18.89, "word": " science", "probability": 0.60107421875}, {"start": 18.89, "end": 18.99, "word": " of", "probability": 0.97021484375}, {"start": 18.99, "end": 19.43, "word": " geometric", "probability": 0.73779296875}, {"start": 19.43, "end": 20.03, "word": " optics", "probability": 0.97607421875}, {"start": 20.03, "end": 20.65, "word": " and", "probability": 0.6162109375}, {"start": 20.65, "end": 20.91, "word": " made", "probability": 0.2349853515625}, {"start": 20.91, "end": 20.97, "word": " it", "probability": 0.7353515625}, {"start": 20.97, "end": 20.97, "word": " easier", "probability": 0.95654296875}, {"start": 20.97, "end": 21.23, "word": " to", "probability": 0.77099609375}, {"start": 21.23, "end": 21.57, "word": " understand", "probability": 0.55517578125}, {"start": 21.57, "end": 22.31, "word": " the", "probability": 0.7919921875}, {"start": 22.31, "end": 22.51, "word": " journey", "probability": 0.289306640625}, {"start": 22.51, "end": 22.75, "word": " of", "probability": 0.86376953125}, {"start": 22.75, "end": 22.97, "word": " light", "probability": 0.79296875}, {"start": 22.97, "end": 23.19, "word": " from", "probability": 0.85791015625}, {"start": 23.19, "end": 23.33, "word": " the", "probability": 0.5537109375}, {"start": 23.33, "end": 23.69, "word": " object", "probability": 0.90576171875}, {"start": 23.69, "end": 23.89, "word": " to", "probability": 0.93408203125}, {"start": 23.89, "end": 23.97, "word": " the", "probability": 0.88623046875}, {"start": 23.97, "end": 24.29, "word": " optical", "probability": 0.96337890625}, {"start": 24.29, "end": 24.79, "word": " system,", "probability": 0.943359375}, {"start": 24.85, "end": 24.93, "word": " to", "probability": 0.92919921875}, {"start": 24.93, "end": 25.01, "word": " the", "probability": 0.89794921875}, {"start": 25.01, "end": 25.39, "word": " image", "probability": 0.9296875}, {"start": 25.39, "end": 26.25, "word": " This", "probability": 0.361572265625}, {"start": 26.25, "end": 26.65, "word": " system", "probability": 0.8232421875}, {"start": 26.65, "end": 26.91, "word": " of", "probability": 0.95654296875}, {"start": 26.91, "end": 27.39, "word": " equations", "probability": 0.8466796875}, {"start": 27.39, "end": 27.97, "word": " and", "probability": 0.92578125}, {"start": 27.97, "end": 28.93, "word": " mathematical", "probability": 0.54150390625}, {"start": 28.93, "end": 29.19, "word": " calculations", "probability": 0.78759765625}, {"start": 29.19, "end": 30.17, "word": " became", "probability": 0.6435546875}, {"start": 30.17, "end": 30.65, "word": " known", "probability": 0.78564453125}, {"start": 30.65, "end": 31.27, "word": " as", "probability": 0.89111328125}, {"start": 31.27, "end": 32.65, "word": " the", "probability": 0.372314453125}, {"start": 32.65, "end": 33.07, "word": " first", "probability": 0.76025390625}, {"start": 33.07, "end": 33.53, "word": " order", "probability": 0.7724609375}, {"start": 33.53, "end": 34.15, "word": " optics", "probability": 0.892578125}, {"start": 34.15, "end": 34.81, "word": " which", "probability": 0.414306640625}, {"start": 34.81, "end": 35.41, "word": " is", "probability": 0.740234375}, {"start": 35.41, "end": 35.79, "word": " the", "probability": 0.9052734375}, {"start": 35.79, "end": 35.81, "word": " basic", "probability": 0.2093505859375}, {"start": 35.81, "end": 36.69, "word": " stone", "probability": 0.69677734375}, {"start": 36.69, "end": 37.35, "word": " for", "probability": 0.43505859375}, {"start": 37.35, "end": 37.87, "word": " understanding", "probability": 0.63134765625}, {"start": 37.87, "end": 38.55, "word": " geometry", "probability": 0.560546875}], "temperature": 1.0}, {"id": 3, "seek": 6386, "start": 39.08, "end": 63.86, "text": "optics وعشان نفهم بالتفصيل إيش اللي عملوه العلماء بنحكي إيش أول خطوة عملوها العلماء قبل ما نحكي الخطوة الأولى و اللي هي ignoring image quality بنذكر بصفات ال image أو ال image characteristics و اللي هي ال magnification و ال location و ال quality و ال brightness هنمسك تالت شئ اللي هي ال quality اللي هي", "tokens": [5747, 1167, 4032, 3615, 8592, 7649, 8717, 5172, 16095, 20666, 2655, 5172, 9381, 26895, 11933, 1829, 8592, 13672, 1829, 6225, 42213, 2407, 3224, 18863, 19528, 16606, 44945, 5016, 4117, 1829, 11933, 1829, 8592, 5551, 12610, 16490, 9566, 2407, 3660, 6225, 42213, 2407, 11296, 18863, 19528, 16606, 12174, 36150, 19446, 8717, 5016, 4117, 1829, 33962, 9566, 2407, 3660, 16247, 12610, 7578, 4032, 13672, 1829, 39896, 26258, 3256, 3125, 44945, 8848, 37983, 4724, 9381, 5172, 9307, 2423, 3256, 34051, 2423, 3256, 10891, 4032, 13672, 1829, 39896, 2423, 4944, 3774, 4032, 2423, 4914, 4032, 2423, 3125, 4032, 2423, 21367, 8032, 1863, 2304, 3794, 4117, 6055, 6027, 2655, 13412, 19986, 13672, 1829, 39896, 2423, 3125, 13672, 1829, 39896], "avg_logprob": -0.1284646713215372, "compression_ratio": 1.895397489539749, "no_speech_prob": 1.8477439880371094e-05, "words": [{"start": 39.08, "end": 39.84, "word": "optics", "probability": 0.7880859375}, {"start": 39.84, "end": 41.32, "word": " وعشان", "probability": 0.7187957763671875}, {"start": 41.32, "end": 41.78, "word": " نفهم", "probability": 0.9912109375}, {"start": 41.78, "end": 42.64, "word": " بالتفصيل", "probability": 0.97001953125}, {"start": 42.64, "end": 42.86, "word": " إيش", "probability": 0.7989908854166666}, {"start": 42.86, "end": 43.02, "word": " اللي", "probability": 0.981689453125}, {"start": 43.02, "end": 43.38, "word": " عملوه", "probability": 0.91650390625}, {"start": 43.38, "end": 43.94, "word": " العلماء", "probability": 0.9695638020833334}, {"start": 43.94, "end": 45.36, "word": " بنحكي", "probability": 0.8214111328125}, {"start": 45.36, "end": 45.6, "word": " إيش", "probability": 0.9397786458333334}, {"start": 45.6, "end": 45.92, "word": " أول", "probability": 0.97802734375}, {"start": 45.92, "end": 46.4, "word": " خطوة", "probability": 0.987548828125}, {"start": 46.4, "end": 46.96, "word": " عملوها", "probability": 0.98876953125}, {"start": 46.96, "end": 47.64, "word": " العلماء", "probability": 0.9905598958333334}, {"start": 47.64, "end": 48.34, "word": " قبل", "probability": 0.655517578125}, {"start": 48.34, "end": 48.46, "word": " ما", "probability": 0.935546875}, {"start": 48.46, "end": 48.74, "word": " نحكي", "probability": 0.9915771484375}, {"start": 48.74, "end": 49.12, "word": " الخطوة", "probability": 0.97607421875}, {"start": 49.12, "end": 49.68, "word": " الأولى", "probability": 0.9903971354166666}, {"start": 49.68, "end": 49.84, "word": " و", "probability": 0.81494140625}, {"start": 49.84, "end": 49.94, "word": " اللي", "probability": 0.59136962890625}, {"start": 49.94, "end": 50.12, "word": " هي", "probability": 0.63818359375}, {"start": 50.12, "end": 50.68, "word": " ignoring", "probability": 0.8447265625}, {"start": 50.68, "end": 51.12, "word": " image", "probability": 0.92626953125}, {"start": 51.12, "end": 51.56, "word": " quality", "probability": 0.830078125}, {"start": 51.56, "end": 52.14, "word": " بنذكر", "probability": 0.85888671875}, {"start": 52.14, "end": 52.74, "word": " بصفات", "probability": 0.9742431640625}, {"start": 52.74, "end": 52.88, "word": " ال", "probability": 0.9541015625}, {"start": 52.88, "end": 53.1, "word": " image", "probability": 0.7529296875}, {"start": 53.1, "end": 53.3, "word": " أو", "probability": 0.76611328125}, {"start": 53.3, "end": 53.4, "word": " ال", "probability": 0.84423828125}, {"start": 53.4, "end": 53.6, "word": " image", "probability": 0.9482421875}, {"start": 53.6, "end": 54.46, "word": " characteristics", "probability": 0.8935546875}, {"start": 54.46, "end": 55.12, "word": " و", "probability": 0.9248046875}, {"start": 55.12, "end": 55.26, "word": " اللي", "probability": 0.966552734375}, {"start": 55.26, "end": 55.58, "word": " هي", "probability": 0.88916015625}, {"start": 55.58, "end": 56.04, "word": " ال", "probability": 0.80615234375}, {"start": 56.04, "end": 56.82, "word": " magnification", "probability": 0.9462890625}, {"start": 56.82, "end": 57.08, "word": " و", "probability": 0.94775390625}, {"start": 57.08, "end": 57.18, "word": " ال", "probability": 0.96875}, {"start": 57.18, "end": 57.72, "word": " location", "probability": 0.98388671875}, {"start": 57.72, "end": 58.38, "word": " و", "probability": 0.99267578125}, {"start": 58.38, "end": 58.46, "word": " ال", "probability": 0.95263671875}, {"start": 58.46, "end": 59.02, "word": " quality", "probability": 0.9130859375}, {"start": 59.02, "end": 59.4, "word": " و", "probability": 0.99853515625}, {"start": 59.4, "end": 59.52, "word": " ال", "probability": 0.9638671875}, {"start": 59.52, "end": 59.96, "word": " brightness", "probability": 0.984375}, {"start": 59.96, "end": 61.18, "word": " هنمسك", "probability": 0.943359375}, {"start": 61.18, "end": 62.26, "word": " تالت", "probability": 0.9508463541666666}, {"start": 62.26, "end": 62.48, "word": " شئ", "probability": 0.620849609375}, {"start": 62.48, "end": 62.6, "word": " اللي", "probability": 0.954345703125}, {"start": 62.6, "end": 62.7, "word": " هي", "probability": 0.82373046875}, {"start": 62.7, "end": 62.84, "word": " ال", "probability": 0.96044921875}, {"start": 62.84, "end": 63.26, "word": " quality", "probability": 0.90234375}, {"start": 63.26, "end": 63.58, "word": " اللي", "probability": 0.9658203125}, {"start": 63.58, "end": 63.86, "word": " هي", "probability": 0.93359375}], "temperature": 1.0}, {"id": 4, "seek": 8566, "start": 64.6, "end": 85.66, "text": "one of the most important characteristics of the image and we said that the quality is required that the optical system creates a high quality image and if possible it should create a stigmatic image that is a picture that is as it should be this is the best thing possible in the seventeenth century the issue of obtaining a very high quality", "tokens": [546, 295, 264, 881, 1021, 10891, 295, 264, 3256, 293, 321, 848, 300, 264, 3125, 307, 4739, 300, 264, 20674, 1185, 7829, 257, 1090, 3125, 3256, 293, 498, 1944, 309, 820, 1884, 257, 342, 20181, 2399, 3256, 300, 307, 257, 3036, 300, 307, 382, 309, 820, 312, 341, 307, 264, 1151, 551, 1944, 294, 264, 15340, 1576, 17966, 4901, 264, 2734, 295, 36749, 257, 588, 1090, 3125], "avg_logprob": -0.581341885468539, "compression_ratio": 1.9055555555555554, "no_speech_prob": 1.2993812561035156e-05, "words": [{"start": 64.6, "end": 65.02, "word": "one", "probability": 0.2161865234375}, {"start": 65.02, "end": 65.38, "word": " of", "probability": 0.908203125}, {"start": 65.38, "end": 65.52, "word": " the", "probability": 0.892578125}, {"start": 65.52, "end": 65.62, "word": " most", "probability": 0.77392578125}, {"start": 65.62, "end": 65.8, "word": " important", "probability": 0.84423828125}, {"start": 65.8, "end": 66.0, "word": " characteristics", "probability": 0.20654296875}, {"start": 66.0, "end": 66.24, "word": " of", "probability": 0.92333984375}, {"start": 66.24, "end": 66.26, "word": " the", "probability": 0.371826171875}, {"start": 66.26, "end": 66.54, "word": " image", "probability": 0.88623046875}, {"start": 66.54, "end": 67.18, "word": " and", "probability": 0.4140625}, {"start": 67.18, "end": 67.46, "word": " we", "probability": 0.84130859375}, {"start": 67.46, "end": 67.46, "word": " said", "probability": 0.7041015625}, {"start": 67.46, "end": 67.84, "word": " that", "probability": 0.732421875}, {"start": 67.84, "end": 67.94, "word": " the", "probability": 0.3369140625}, {"start": 67.94, "end": 68.34, "word": " quality", "probability": 0.60888671875}, {"start": 68.34, "end": 68.44, "word": " is", "probability": 0.43310546875}, {"start": 68.44, "end": 68.84, "word": " required", "probability": 0.5146484375}, {"start": 68.84, "end": 69.46, "word": " that", "probability": 0.260498046875}, {"start": 69.46, "end": 69.58, "word": " the", "probability": 0.74072265625}, {"start": 69.58, "end": 69.88, "word": " optical", "probability": 0.9150390625}, {"start": 69.88, "end": 70.46, "word": " system", "probability": 0.92236328125}, {"start": 70.46, "end": 70.92, "word": " creates", "probability": 0.11688232421875}, {"start": 70.92, "end": 71.12, "word": " a", "probability": 0.5185546875}, {"start": 71.12, "end": 71.78, "word": " high", "probability": 0.68505859375}, {"start": 71.78, "end": 72.52, "word": " quality", "probability": 0.63427734375}, {"start": 72.52, "end": 72.54, "word": " image", "probability": 0.9140625}, {"start": 72.54, "end": 73.16, "word": " and", "probability": 0.640625}, {"start": 73.16, "end": 73.4, "word": " if", "probability": 0.923828125}, {"start": 73.4, "end": 74.22, "word": " possible", "probability": 0.8115234375}, {"start": 74.22, "end": 74.56, "word": " it", "probability": 0.1834716796875}, {"start": 74.56, "end": 74.72, "word": " should", "probability": 0.5322265625}, {"start": 74.72, "end": 74.94, "word": " create", "probability": 0.42822265625}, {"start": 74.94, "end": 75.12, "word": " a", "probability": 0.9521484375}, {"start": 75.12, "end": 75.8, "word": " stigmatic", "probability": 0.74169921875}, {"start": 75.8, "end": 76.14, "word": " image", "probability": 0.92822265625}, {"start": 76.14, "end": 76.34, "word": " that", "probability": 0.159423828125}, {"start": 76.34, "end": 76.36, "word": " is", "probability": 0.43310546875}, {"start": 76.36, "end": 76.48, "word": " a", "probability": 0.41162109375}, {"start": 76.48, "end": 76.7, "word": " picture", "probability": 0.451171875}, {"start": 76.7, "end": 76.92, "word": " that", "probability": 0.42041015625}, {"start": 76.92, "end": 76.92, "word": " is", "probability": 0.42529296875}, {"start": 76.92, "end": 76.92, "word": " as", "probability": 0.08172607421875}, {"start": 76.92, "end": 77.26, "word": " it", "probability": 0.69873046875}, {"start": 77.26, "end": 77.26, "word": " should", "probability": 0.58544921875}, {"start": 77.26, "end": 77.64, "word": " be", "probability": 0.8837890625}, {"start": 77.64, "end": 78.24, "word": " this", "probability": 0.2479248046875}, {"start": 78.24, "end": 78.36, "word": " is", "probability": 0.80810546875}, {"start": 78.36, "end": 78.46, "word": " the", "probability": 0.8515625}, {"start": 78.46, "end": 78.64, "word": " best", "probability": 0.8994140625}, {"start": 78.64, "end": 79.1, "word": " thing", "probability": 0.755859375}, {"start": 79.1, "end": 79.74, "word": " possible", "probability": 0.53466796875}, {"start": 79.74, "end": 80.36, "word": " in", "probability": 0.615234375}, {"start": 80.36, "end": 81.26, "word": " the", "probability": 0.79248046875}, {"start": 81.26, "end": 82.3, "word": " seventeenth", "probability": 0.7457682291666666}, {"start": 82.3, "end": 82.3, "word": " century", "probability": 0.93115234375}, {"start": 82.3, "end": 82.94, "word": " the", "probability": 0.47998046875}, {"start": 82.94, "end": 83.28, "word": " issue", "probability": 0.447509765625}, {"start": 83.28, "end": 84.18, "word": " of", "probability": 0.86865234375}, {"start": 84.18, "end": 84.62, "word": " obtaining", "probability": 0.6513671875}, {"start": 84.62, "end": 84.9, "word": " a", "probability": 0.56591796875}, {"start": 84.9, "end": 84.9, "word": " very", "probability": 0.5009765625}, {"start": 84.9, "end": 84.9, "word": " high", "probability": 0.884765625}, {"start": 84.9, "end": 85.66, "word": " quality", "probability": 0.822265625}], "temperature": 1.0}, {"id": 5, "seek": 10482, "start": 87.06, "end": 104.82, "text": "It was a dream of scientists that the optical system at that time was giving useful images, pictures that were practical and useful, but not high quality, not high quality. So first of all, scientists", "tokens": [3522, 390, 257, 3055, 295, 7708, 300, 264, 20674, 1185, 412, 300, 565, 390, 2902, 4420, 5267, 11, 5242, 300, 645, 8496, 293, 4420, 11, 457, 406, 1090, 3125, 11, 406, 1090, 3125, 13, 407, 700, 295, 439, 11, 7708], "avg_logprob": -0.6741615621055045, "compression_ratio": 1.5037593984962405, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 87.06, "end": 87.5, "word": "It", "probability": 0.29345703125}, {"start": 87.5, "end": 87.68, "word": " was", "probability": 0.303466796875}, {"start": 87.68, "end": 87.82, "word": " a", "probability": 0.7734375}, {"start": 87.82, "end": 88.06, "word": " dream", "probability": 0.90087890625}, {"start": 88.06, "end": 88.3, "word": " of", "probability": 0.29443359375}, {"start": 88.3, "end": 88.98, "word": " scientists", "probability": 0.479248046875}, {"start": 88.98, "end": 90.22, "word": " that", "probability": 0.26806640625}, {"start": 90.22, "end": 91.24, "word": " the", "probability": 0.393798828125}, {"start": 91.24, "end": 91.62, "word": " optical", "probability": 0.9306640625}, {"start": 91.62, "end": 92.18, "word": " system", "probability": 0.474853515625}, {"start": 92.18, "end": 92.38, "word": " at", "probability": 0.4677734375}, {"start": 92.38, "end": 92.68, "word": " that", "probability": 0.8515625}, {"start": 92.68, "end": 94.6, "word": " time", "probability": 0.8671875}, {"start": 94.6, "end": 95.18, "word": " was", "probability": 0.216064453125}, {"start": 95.18, "end": 95.7, "word": " giving", "probability": 0.28271484375}, {"start": 95.7, "end": 96.36, "word": " useful", "probability": 0.59130859375}, {"start": 96.36, "end": 96.98, "word": " images,", "probability": 0.90673828125}, {"start": 98.1, "end": 98.1, "word": " pictures", "probability": 0.1434326171875}, {"start": 98.1, "end": 98.38, "word": " that", "probability": 0.61865234375}, {"start": 98.38, "end": 98.92, "word": " were", "probability": 0.47216796875}, {"start": 98.92, "end": 99.36, "word": " practical", "probability": 0.2137451171875}, {"start": 99.36, "end": 99.74, "word": " and", "probability": 0.42724609375}, {"start": 99.74, "end": 100.66, "word": " useful,", "probability": 0.63916015625}, {"start": 101.02, "end": 101.2, "word": " but", "probability": 0.54443359375}, {"start": 101.2, "end": 101.5, "word": " not", "probability": 0.828125}, {"start": 101.5, "end": 101.84, "word": " high", "probability": 0.74560546875}, {"start": 101.84, "end": 102.32, "word": " quality,", "probability": 0.7587890625}, {"start": 102.42, "end": 102.58, "word": " not", "probability": 0.90087890625}, {"start": 102.58, "end": 102.86, "word": " high", "probability": 0.9052734375}, {"start": 102.86, "end": 103.3, "word": " quality.", "probability": 0.8642578125}, {"start": 103.78, "end": 103.9, "word": " So", "probability": 0.5927734375}, {"start": 103.9, "end": 104.22, "word": " first", "probability": 0.52197265625}, {"start": 104.22, "end": 104.44, "word": " of", "probability": 0.344970703125}, {"start": 104.44, "end": 104.44, "word": " all,", "probability": 0.95263671875}, {"start": 104.62, "end": 104.82, "word": " scientists", "probability": 0.65869140625}], "temperature": 1.0}, {"id": 6, "seek": 12289, "start": 107.15, "end": 122.89, "text": "In order for the image to shine through the optical system, they said that the first thing we should do is to ignore image quality. We should not study image quality. Ignoring image quality. We will say why they .. I mean ..", "tokens": [4575, 1668, 337, 264, 3256, 281, 12207, 807, 264, 20674, 1185, 11, 436, 848, 300, 264, 700, 551, 321, 820, 360, 307, 281, 11200, 3256, 3125, 13, 492, 820, 406, 2979, 3256, 3125, 13, 24754, 3662, 3256, 3125, 13, 492, 486, 584, 983, 436, 4386, 286, 914, 4386], "avg_logprob": -0.5845025510204082, "compression_ratio": 1.6231884057971016, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 107.15, "end": 107.57, "word": "In", "probability": 0.29345703125}, {"start": 107.57, "end": 107.57, "word": " order", "probability": 0.90087890625}, {"start": 107.57, "end": 107.65, "word": " for", "probability": 0.33203125}, {"start": 107.65, "end": 108.01, "word": " the", "probability": 0.247802734375}, {"start": 108.01, "end": 108.11, "word": " image", "probability": 0.42333984375}, {"start": 108.11, "end": 108.35, "word": " to", "probability": 0.8974609375}, {"start": 108.35, "end": 108.57, "word": " shine", "probability": 0.07958984375}, {"start": 108.57, "end": 110.27, "word": " through", "probability": 0.265869140625}, {"start": 110.27, "end": 110.91, "word": " the", "probability": 0.6796875}, {"start": 110.91, "end": 111.21, "word": " optical", "probability": 0.93408203125}, {"start": 111.21, "end": 111.87, "word": " system,", "probability": 0.89404296875}, {"start": 111.99, "end": 112.25, "word": " they", "probability": 0.385986328125}, {"start": 112.25, "end": 112.41, "word": " said", "probability": 0.3935546875}, {"start": 112.41, "end": 112.59, "word": " that", "probability": 0.409423828125}, {"start": 112.59, "end": 112.63, "word": " the", "probability": 0.4462890625}, {"start": 112.63, "end": 112.71, "word": " first", "probability": 0.80224609375}, {"start": 112.71, "end": 113.01, "word": " thing", "probability": 0.8798828125}, {"start": 113.01, "end": 113.19, "word": " we", "probability": 0.452880859375}, {"start": 113.19, "end": 113.77, "word": " should", "probability": 0.34130859375}, {"start": 113.77, "end": 114.17, "word": " do", "probability": 0.9013671875}, {"start": 114.17, "end": 115.01, "word": " is", "probability": 0.90625}, {"start": 115.01, "end": 115.27, "word": " to", "probability": 0.45849609375}, {"start": 115.27, "end": 115.71, "word": " ignore", "probability": 0.541015625}, {"start": 115.71, "end": 116.19, "word": " image", "probability": 0.728515625}, {"start": 116.19, "end": 116.61, "word": " quality.", "probability": 0.85546875}, {"start": 116.73, "end": 116.73, "word": " We", "probability": 0.408447265625}, {"start": 116.73, "end": 116.83, "word": " should", "probability": 0.697265625}, {"start": 116.83, "end": 116.83, "word": " not", "probability": 0.6337890625}, {"start": 116.83, "end": 117.19, "word": " study", "probability": 0.79736328125}, {"start": 117.19, "end": 117.65, "word": " image", "probability": 0.92431640625}, {"start": 117.65, "end": 118.15, "word": " quality.", "probability": 0.853515625}, {"start": 118.41, "end": 118.99, "word": " Ignoring", "probability": 0.73779296875}, {"start": 118.99, "end": 119.33, "word": " image", "probability": 0.92626953125}, {"start": 119.33, "end": 119.83, "word": " quality.", "probability": 0.85693359375}, {"start": 120.45, "end": 120.73, "word": " We", "probability": 0.6513671875}, {"start": 120.73, "end": 120.87, "word": " will", "probability": 0.701171875}, {"start": 120.87, "end": 121.05, "word": " say", "probability": 0.286376953125}, {"start": 121.05, "end": 121.29, "word": " why", "probability": 0.80615234375}, {"start": 121.29, "end": 121.51, "word": " they", "probability": 0.7861328125}, {"start": 121.51, "end": 121.87, "word": " ..", "probability": 0.1732177734375}, {"start": 121.87, "end": 122.39, "word": " I", "probability": 0.5322265625}, {"start": 122.39, "end": 122.65, "word": " mean", "probability": 0.9599609375}, {"start": 122.65, "end": 122.89, "word": " ..", "probability": 0.7890625}], "temperature": 1.0}, {"id": 7, "seek": 13997, "start": 123.98, "end": 139.98, "text": "I mean they agreed to neglect image quality because they don't want high image quality, but they can't make an optical system that's not high quality or that gives me high quality pictures or images", "tokens": [40, 914, 436, 9166, 281, 17745, 3256, 3125, 570, 436, 500, 380, 528, 1090, 3256, 3125, 11, 457, 436, 393, 380, 652, 364, 20674, 1185, 300, 311, 406, 1090, 3125, 420, 300, 2709, 385, 1090, 3125, 5242, 420, 5267], "avg_logprob": -0.500781261920929, "compression_ratio": 1.5714285714285714, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 123.98, "end": 124.2, "word": "I", "probability": 0.326416015625}, {"start": 124.2, "end": 124.38, "word": " mean", "probability": 0.84619140625}, {"start": 124.38, "end": 124.54, "word": " they", "probability": 0.68505859375}, {"start": 124.54, "end": 124.96, "word": " agreed", "probability": 0.8271484375}, {"start": 124.96, "end": 125.58, "word": " to", "probability": 0.56298828125}, {"start": 125.58, "end": 126.12, "word": " neglect", "probability": 0.46435546875}, {"start": 126.12, "end": 126.5, "word": " image", "probability": 0.69677734375}, {"start": 126.5, "end": 126.96, "word": " quality", "probability": 0.85400390625}, {"start": 126.96, "end": 127.24, "word": " because", "probability": 0.33984375}, {"start": 127.24, "end": 128.14, "word": " they", "probability": 0.85888671875}, {"start": 128.14, "end": 128.4, "word": " don't", "probability": 0.792724609375}, {"start": 128.4, "end": 128.94, "word": " want", "probability": 0.52294921875}, {"start": 128.94, "end": 130.1, "word": " high", "probability": 0.49072265625}, {"start": 130.1, "end": 131.64, "word": " image", "probability": 0.83984375}, {"start": 131.64, "end": 132.18, "word": " quality,", "probability": 0.845703125}, {"start": 132.48, "end": 132.7, "word": " but", "probability": 0.87646484375}, {"start": 132.7, "end": 132.94, "word": " they", "probability": 0.89111328125}, {"start": 132.94, "end": 133.8, "word": " can't", "probability": 0.6376953125}, {"start": 133.8, "end": 134.12, "word": " make", "probability": 0.607421875}, {"start": 134.12, "end": 134.34, "word": " an", "probability": 0.386474609375}, {"start": 134.34, "end": 134.58, "word": " optical", "probability": 0.91357421875}, {"start": 134.58, "end": 135.28, "word": " system", "probability": 0.94873046875}, {"start": 135.28, "end": 136.24, "word": " that's", "probability": 0.400146484375}, {"start": 136.24, "end": 136.24, "word": " not", "probability": 0.6669921875}, {"start": 136.24, "end": 137.34, "word": " high", "probability": 0.357421875}, {"start": 137.34, "end": 137.78, "word": " quality", "probability": 0.7734375}, {"start": 137.78, "end": 138.14, "word": " or", "probability": 0.734375}, {"start": 138.14, "end": 138.32, "word": " that", "probability": 0.400634765625}, {"start": 138.32, "end": 138.68, "word": " gives", "probability": 0.64990234375}, {"start": 138.68, "end": 138.94, "word": " me", "probability": 0.580078125}, {"start": 138.94, "end": 139.04, "word": " high", "probability": 0.424072265625}, {"start": 139.04, "end": 139.04, "word": " quality", "probability": 0.7685546875}, {"start": 139.04, "end": 139.28, "word": " pictures", "probability": 0.277587890625}, {"start": 139.28, "end": 139.46, "word": " or", "probability": 0.837890625}, {"start": 139.46, "end": 139.98, "word": " images", "probability": 0.84765625}], "temperature": 1.0}, {"id": 8, "seek": 16241, "start": 141.41, "end": 162.41, "text": "هدا لو احنا جبنا مثل من الحياة، بنقول إنسان بسيط للغاية في حياته ما هيصعد على سطح القمر في سفينة فضاء، ليش يشغل نفسه ب .. يعني تفصيل بدلة مثل البدلة اللي بيلبسها رواد الفضاء، يعني هذا بيكون مضيع للوقت", "tokens": [3224, 28259, 45164, 1975, 5016, 8315, 10874, 3555, 8315, 50113, 1211, 9154, 21542, 25528, 3660, 12399, 44945, 39648, 36145, 3794, 7649, 4724, 3794, 1829, 9566, 24976, 17082, 995, 10632, 8978, 11331, 1829, 9307, 3224, 19446, 39896, 9381, 22488, 15844, 8608, 9566, 5016, 25062, 29973, 8978, 8608, 5172, 9957, 3660, 6156, 11242, 16606, 12399, 32239, 8592, 7251, 8592, 17082, 1211, 8717, 36178, 3224, 4724, 4386, 37495, 22653, 6055, 5172, 9381, 26895, 47525, 37977, 50113, 1211, 29739, 3215, 37977, 13672, 1829, 4724, 26895, 3555, 3794, 11296, 12602, 14407, 3215, 27188, 11242, 16606, 12399, 37495, 22653, 23758, 4724, 1829, 30544, 3714, 11242, 40228, 24976, 30543, 2655], "avg_logprob": -0.09532752747719105, "compression_ratio": 1.7684729064039408, "no_speech_prob": 0.0, "words": [{"start": 141.41, "end": 141.81, "word": "هدا", "probability": 0.5008544921875}, {"start": 141.81, "end": 141.95, "word": " لو", "probability": 0.97216796875}, {"start": 141.95, "end": 142.21, "word": " احنا", "probability": 0.8854166666666666}, {"start": 142.21, "end": 142.79, "word": " جبنا", "probability": 0.9054361979166666}, {"start": 142.79, "end": 143.15, "word": " مثل", "probability": 0.974365234375}, {"start": 143.15, "end": 143.33, "word": " من", "probability": 0.9970703125}, {"start": 143.33, "end": 144.29, "word": " الحياة،", "probability": 0.871826171875}, {"start": 144.29, "end": 144.59, "word": " بنقول", "probability": 0.921875}, {"start": 144.59, "end": 145.15, "word": " إنسان", "probability": 0.8507486979166666}, {"start": 145.15, "end": 145.81, "word": " بسيط", "probability": 0.9866943359375}, {"start": 145.81, "end": 146.43, "word": " للغاية", "probability": 0.9752197265625}, {"start": 146.43, "end": 147.05, "word": " في", "probability": 0.51904296875}, {"start": 147.05, "end": 147.77, "word": " حياته", "probability": 0.990478515625}, {"start": 147.77, "end": 148.77, "word": " ما", "probability": 0.86279296875}, {"start": 148.77, "end": 149.41, "word": " هيصعد", "probability": 0.86328125}, {"start": 149.41, "end": 149.65, "word": " على", "probability": 0.9091796875}, {"start": 149.65, "end": 149.97, "word": " سطح", "probability": 0.9915364583333334}, {"start": 149.97, "end": 150.37, "word": " القمر", "probability": 0.996337890625}, {"start": 150.37, "end": 150.55, "word": " في", "probability": 0.98046875}, {"start": 150.55, "end": 150.97, "word": " سفينة", "probability": 0.9830322265625}, {"start": 150.97, "end": 151.69, "word": " فضاء،", "probability": 0.9119873046875}, {"start": 151.69, "end": 152.27, "word": " ليش", "probability": 0.958740234375}, {"start": 152.27, "end": 152.71, "word": " يشغل", "probability": 0.995849609375}, {"start": 152.71, "end": 153.67, "word": " نفسه", "probability": 0.9983723958333334}, {"start": 153.67, "end": 154.05, "word": " ب", "probability": 0.7880859375}, {"start": 154.05, "end": 154.21, "word": " ..", "probability": 0.321533203125}, {"start": 154.21, "end": 154.87, "word": " يعني", "probability": 0.91455078125}, {"start": 154.87, "end": 155.81, "word": " تفصيل", "probability": 0.96630859375}, {"start": 155.81, "end": 156.59, "word": " بدلة", "probability": 0.955322265625}, {"start": 156.59, "end": 158.29, "word": " مثل", "probability": 0.9638671875}, {"start": 158.29, "end": 158.77, "word": " البدلة", "probability": 0.9202473958333334}, {"start": 158.77, "end": 159.01, "word": " اللي", "probability": 0.91845703125}, {"start": 159.01, "end": 159.51, "word": " بيلبسها", "probability": 0.95205078125}, {"start": 159.51, "end": 159.87, "word": " رواد", "probability": 0.94091796875}, {"start": 159.87, "end": 160.65, "word": " الفضاء،", "probability": 0.9169921875}, {"start": 160.65, "end": 160.89, "word": " يعني", "probability": 0.9619140625}, {"start": 160.89, "end": 161.07, "word": " هذا", "probability": 0.77685546875}, {"start": 161.07, "end": 161.37, "word": " بيكون", "probability": 0.9401041666666666}, {"start": 161.37, "end": 161.79, "word": " مضيع", "probability": 0.9186197916666666}, {"start": 161.79, "end": 162.41, "word": " للوقت", "probability": 0.9697265625}], "temperature": 1.0}, {"id": 9, "seek": 17778, "start": 162.64, "end": 177.78, "text": "And in comparison to that, scientists in the 17th century said that we are not able to create a high quality optical system So as long as our image quality is basically humble", "tokens": [5289, 294, 9660, 281, 300, 11, 7708, 294, 264, 3282, 392, 4901, 848, 300, 321, 366, 406, 1075, 281, 1884, 257, 1090, 3125, 20674, 1185, 407, 382, 938, 382, 527, 3256, 3125, 307, 1936, 16735], "avg_logprob": -0.4865451488229964, "compression_ratio": 1.3565891472868217, "no_speech_prob": 6.377696990966797e-06, "words": [{"start": 162.64, "end": 163.16, "word": "And", "probability": 0.25439453125}, {"start": 163.16, "end": 163.4, "word": " in", "probability": 0.1683349609375}, {"start": 163.4, "end": 163.72, "word": " comparison", "probability": 0.79541015625}, {"start": 163.72, "end": 164.0, "word": " to", "probability": 0.7744140625}, {"start": 164.0, "end": 164.52, "word": " that,", "probability": 0.7890625}, {"start": 164.7, "end": 165.1, "word": " scientists", "probability": 0.497314453125}, {"start": 165.1, "end": 165.52, "word": " in", "probability": 0.8369140625}, {"start": 165.52, "end": 166.2, "word": " the", "probability": 0.84326171875}, {"start": 166.2, "end": 167.1, "word": " 17th", "probability": 0.7177734375}, {"start": 167.1, "end": 167.1, "word": " century", "probability": 0.91162109375}, {"start": 167.1, "end": 167.38, "word": " said", "probability": 0.7861328125}, {"start": 167.38, "end": 167.52, "word": " that", "probability": 0.59228515625}, {"start": 167.52, "end": 167.72, "word": " we", "probability": 0.7294921875}, {"start": 167.72, "end": 167.76, "word": " are", "probability": 0.29833984375}, {"start": 167.76, "end": 167.9, "word": " not", "probability": 0.490478515625}, {"start": 167.9, "end": 168.24, "word": " able", "probability": 0.76318359375}, {"start": 168.24, "end": 168.66, "word": " to", "probability": 0.97021484375}, {"start": 168.66, "end": 169.08, "word": " create", "probability": 0.35107421875}, {"start": 169.08, "end": 169.26, "word": " a", "probability": 0.498291015625}, {"start": 169.26, "end": 171.14, "word": " high", "probability": 0.68896484375}, {"start": 171.14, "end": 171.84, "word": " quality", "probability": 0.642578125}, {"start": 171.84, "end": 171.84, "word": " optical", "probability": 0.97021484375}, {"start": 171.84, "end": 171.84, "word": " system", "probability": 0.94677734375}, {"start": 171.84, "end": 173.12, "word": " So", "probability": 0.255615234375}, {"start": 173.12, "end": 173.68, "word": " as", "probability": 0.31591796875}, {"start": 173.68, "end": 174.04, "word": " long", "probability": 0.89013671875}, {"start": 174.04, "end": 174.22, "word": " as", "probability": 0.96728515625}, {"start": 174.22, "end": 174.32, "word": " our", "probability": 0.78759765625}, {"start": 174.32, "end": 174.62, "word": " image", "probability": 0.88134765625}, {"start": 174.62, "end": 175.14, "word": " quality", "probability": 0.84521484375}, {"start": 175.14, "end": 176.06, "word": " is", "probability": 0.8798828125}, {"start": 176.06, "end": 176.06, "word": " basically", "probability": 0.5458984375}, {"start": 176.06, "end": 177.78, "word": " humble", "probability": 0.2177734375}], "temperature": 1.0}, {"id": 10, "seek": 20546, "start": 178.38, "end": 205.46, "text": "The image quality is low, so the first thing to study the journey of light and study the image characteristics, we need to neglect the image quality. This is basically what they mean or what they simplified to consider that neglecting the image quality and ignoring the image quality simplified the topic. To know the image quality exactly, I need to see the point spread function.", "tokens": [2278, 3256, 3125, 307, 2295, 11, 370, 264, 700, 551, 281, 2979, 264, 4671, 295, 1442, 293, 2979, 264, 3256, 10891, 11, 321, 643, 281, 17745, 264, 3256, 3125, 13, 639, 307, 1936, 437, 436, 914, 420, 437, 436, 26335, 281, 1949, 300, 17745, 278, 264, 3256, 3125, 293, 26258, 264, 3256, 3125, 26335, 264, 4829, 13, 1407, 458, 264, 3256, 3125, 2293, 11, 286, 643, 281, 536, 264, 935, 3974, 2445, 13], "avg_logprob": -0.5456080847495312, "compression_ratio": 1.905, "no_speech_prob": 1.5497207641601562e-06, "words": [{"start": 178.38, "end": 178.58, "word": "The", "probability": 0.141357421875}, {"start": 178.58, "end": 178.82, "word": " image", "probability": 0.74658203125}, {"start": 178.82, "end": 179.3, "word": " quality", "probability": 0.85107421875}, {"start": 179.3, "end": 179.46, "word": " is", "probability": 0.80517578125}, {"start": 179.46, "end": 179.8, "word": " low,", "probability": 0.185302734375}, {"start": 180.34, "end": 180.46, "word": " so", "probability": 0.6201171875}, {"start": 180.46, "end": 180.76, "word": " the", "probability": 0.2403564453125}, {"start": 180.76, "end": 180.96, "word": " first", "probability": 0.86083984375}, {"start": 180.96, "end": 181.34, "word": " thing", "probability": 0.80810546875}, {"start": 181.34, "end": 181.56, "word": " to", "probability": 0.4609375}, {"start": 181.56, "end": 181.98, "word": " study", "probability": 0.48779296875}, {"start": 181.98, "end": 182.14, "word": " the", "probability": 0.39697265625}, {"start": 182.14, "end": 182.26, "word": " journey", "probability": 0.338623046875}, {"start": 182.26, "end": 182.48, "word": " of", "probability": 0.95654296875}, {"start": 182.48, "end": 182.76, "word": " light", "probability": 0.7763671875}, {"start": 182.76, "end": 182.98, "word": " and", "probability": 0.6591796875}, {"start": 182.98, "end": 183.3, "word": " study", "probability": 0.55322265625}, {"start": 183.3, "end": 183.82, "word": " the", "probability": 0.43310546875}, {"start": 183.82, "end": 184.06, "word": " image", "probability": 0.91162109375}, {"start": 184.06, "end": 184.94, "word": " characteristics,", "probability": 0.8564453125}, {"start": 185.52, "end": 185.56, "word": " we", "probability": 0.68408203125}, {"start": 185.56, "end": 185.86, "word": " need", "probability": 0.395263671875}, {"start": 185.86, "end": 186.7, "word": " to", "probability": 0.95263671875}, {"start": 186.7, "end": 186.88, "word": " neglect", "probability": 0.57421875}, {"start": 186.88, "end": 187.1, "word": " the", "probability": 0.61474609375}, {"start": 187.1, "end": 187.36, "word": " image", "probability": 0.9130859375}, {"start": 187.36, "end": 187.88, "word": " quality.", "probability": 0.8505859375}, {"start": 188.14, "end": 188.48, "word": " This", "probability": 0.41650390625}, {"start": 188.48, "end": 188.54, "word": " is", "probability": 0.58349609375}, {"start": 188.54, "end": 188.92, "word": " basically", "probability": 0.1376953125}, {"start": 188.92, "end": 189.16, "word": " what", "probability": 0.57568359375}, {"start": 189.16, "end": 189.36, "word": " they", "probability": 0.5}, {"start": 189.36, "end": 189.36, "word": " mean", "probability": 0.228759765625}, {"start": 189.36, "end": 189.86, "word": " or", "probability": 0.1968994140625}, {"start": 189.86, "end": 190.26, "word": " what", "probability": 0.77783203125}, {"start": 190.26, "end": 190.72, "word": " they", "probability": 0.25439453125}, {"start": 190.72, "end": 191.16, "word": " simplified", "probability": 0.78955078125}, {"start": 191.16, "end": 191.56, "word": " to", "probability": 0.744140625}, {"start": 191.56, "end": 192.08, "word": " consider", "probability": 0.625}, {"start": 192.08, "end": 192.32, "word": " that", "probability": 0.60546875}, {"start": 192.32, "end": 193.54, "word": " neglecting", "probability": 0.827880859375}, {"start": 193.54, "end": 193.58, "word": " the", "probability": 0.4990234375}, {"start": 193.58, "end": 193.82, "word": " image", "probability": 0.92333984375}, {"start": 193.82, "end": 194.32, "word": " quality", "probability": 0.83984375}, {"start": 194.32, "end": 194.48, "word": " and", "probability": 0.8623046875}, {"start": 194.48, "end": 195.02, "word": " ignoring", "probability": 0.8271484375}, {"start": 195.02, "end": 195.34, "word": " the", "probability": 0.6416015625}, {"start": 195.34, "end": 195.6, "word": " image", "probability": 0.9072265625}, {"start": 195.6, "end": 196.14, "word": " quality", "probability": 0.8603515625}, {"start": 196.14, "end": 196.94, "word": " simplified", "probability": 0.6025390625}, {"start": 196.94, "end": 197.1, "word": " the", "probability": 0.87109375}, {"start": 197.1, "end": 197.38, "word": " topic.", "probability": 0.2490234375}, {"start": 197.9, "end": 198.12, "word": " To", "probability": 0.18359375}, {"start": 198.12, "end": 200.66, "word": " know", "probability": 0.521484375}, {"start": 200.66, "end": 200.88, "word": " the", "probability": 0.5830078125}, {"start": 200.88, "end": 201.18, "word": " image", "probability": 0.84521484375}, {"start": 201.18, "end": 201.74, "word": " quality", "probability": 0.85546875}, {"start": 201.74, "end": 202.34, "word": " exactly,", "probability": 0.63525390625}, {"start": 202.68, "end": 202.8, "word": " I", "probability": 0.80029296875}, {"start": 202.8, "end": 202.94, "word": " need", "probability": 0.6640625}, {"start": 202.94, "end": 203.22, "word": " to", "probability": 0.9638671875}, {"start": 203.22, "end": 203.58, "word": " see", "probability": 0.626953125}, {"start": 203.58, "end": 203.84, "word": " the", "probability": 0.8681640625}, {"start": 203.84, "end": 204.18, "word": " point", "probability": 0.82080078125}, {"start": 204.18, "end": 204.74, "word": " spread", "probability": 0.8955078125}, {"start": 204.74, "end": 205.46, "word": " function.", "probability": 0.9755859375}], "temperature": 1.0}, {"id": 11, "seek": 22039, "start": 207.93, "end": 220.39, "text": " If we look at this view and make it bigger, we say this is the point spread function", "tokens": [759, 321, 574, 412, 341, 1910, 293, 652, 309, 3801, 11, 321, 584, 341, 307, 264, 935, 3974, 2445], "avg_logprob": -0.896874976158142, "compression_ratio": 1.103896103896104, "no_speech_prob": 5.424022674560547e-06, "words": [{"start": 207.92999999999998, "end": 209.01, "word": " If", "probability": 0.038421630859375}, {"start": 209.01, "end": 210.09, "word": " we", "probability": 0.76220703125}, {"start": 210.09, "end": 211.49, "word": " look", "probability": 0.2841796875}, {"start": 211.49, "end": 213.67, "word": " at", "probability": 0.80419921875}, {"start": 213.67, "end": 213.67, "word": " this", "probability": 0.6044921875}, {"start": 213.67, "end": 214.01, "word": " view", "probability": 0.102294921875}, {"start": 214.01, "end": 214.41, "word": " and", "probability": 0.427490234375}, {"start": 214.41, "end": 214.63, "word": " make", "probability": 0.22705078125}, {"start": 214.63, "end": 215.17, "word": " it", "probability": 0.8818359375}, {"start": 215.17, "end": 215.75, "word": " bigger,", "probability": 0.43798828125}, {"start": 217.21, "end": 217.29, "word": " we", "probability": 0.59765625}, {"start": 217.29, "end": 217.63, "word": " say", "probability": 0.3603515625}, {"start": 217.63, "end": 218.75, "word": " this", "probability": 0.1922607421875}, {"start": 218.75, "end": 219.03, "word": " is", "probability": 0.4736328125}, {"start": 219.03, "end": 219.03, "word": " the", "probability": 0.44189453125}, {"start": 219.03, "end": 219.29, "word": " point", "probability": 0.7607421875}, {"start": 219.29, "end": 219.79, "word": " spread", "probability": 0.88916015625}, {"start": 219.79, "end": 220.39, "word": " function", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 12, "seek": 24308, "start": 221.84, "end": 243.08, "text": "which is irregular and irregular shape to one point of the object's point You might ask, what are these colors? These colors show the intensity of the light The red color in the middle of the point spread function, here is the largest amount of light that ended here is the intensity of the light, less, less, less, but these are the limits of the point spread function", "tokens": [13690, 307, 29349, 293, 29349, 3909, 281, 472, 935, 295, 264, 2657, 311, 935, 509, 1062, 1029, 11, 437, 366, 613, 4577, 30, 1981, 4577, 855, 264, 13749, 295, 264, 1442, 440, 2182, 2017, 294, 264, 2808, 295, 264, 935, 3974, 2445, 11, 510, 307, 264, 6443, 2372, 295, 1442, 300, 4590, 510, 307, 264, 13749, 295, 264, 1442, 11, 1570, 11, 1570, 11, 1570, 11, 457, 613, 366, 264, 10406, 295, 264, 935, 3974, 2445], "avg_logprob": -0.584009718585324, "compression_ratio": 1.9945945945945946, "no_speech_prob": 2.7120113372802734e-05, "words": [{"start": 221.84, "end": 222.08, "word": "which", "probability": 0.275146484375}, {"start": 222.08, "end": 222.18, "word": " is", "probability": 0.7412109375}, {"start": 222.18, "end": 222.64, "word": " irregular", "probability": 0.1318359375}, {"start": 222.64, "end": 222.98, "word": " and", "probability": 0.4384765625}, {"start": 222.98, "end": 223.44, "word": " irregular", "probability": 0.1800537109375}, {"start": 223.44, "end": 223.92, "word": " shape", "probability": 0.56005859375}, {"start": 223.92, "end": 224.44, "word": " to", "probability": 0.41162109375}, {"start": 224.44, "end": 224.64, "word": " one", "probability": 0.62939453125}, {"start": 224.64, "end": 224.98, "word": " point", "probability": 0.755859375}, {"start": 224.98, "end": 225.56, "word": " of", "probability": 0.537109375}, {"start": 225.56, "end": 225.7, "word": " the", "probability": 0.6923828125}, {"start": 225.7, "end": 226.5, "word": " object's", "probability": 0.552734375}, {"start": 226.5, "end": 226.5, "word": " point", "probability": 0.463623046875}, {"start": 226.5, "end": 227.08, "word": " You", "probability": 0.11669921875}, {"start": 227.08, "end": 227.38, "word": " might", "probability": 0.36279296875}, {"start": 227.38, "end": 227.9, "word": " ask,", "probability": 0.634765625}, {"start": 228.2, "end": 228.58, "word": " what", "probability": 0.491943359375}, {"start": 228.58, "end": 229.18, "word": " are", "probability": 0.281005859375}, {"start": 229.18, "end": 229.28, "word": " these", "probability": 0.73583984375}, {"start": 229.28, "end": 229.58, "word": " colors?", "probability": 0.77001953125}, {"start": 229.84, "end": 230.16, "word": " These", "probability": 0.6650390625}, {"start": 230.16, "end": 230.54, "word": " colors", "probability": 0.888671875}, {"start": 230.54, "end": 231.06, "word": " show", "probability": 0.281982421875}, {"start": 231.06, "end": 231.24, "word": " the", "probability": 0.5830078125}, {"start": 231.24, "end": 231.46, "word": " intensity", "probability": 0.68017578125}, {"start": 231.46, "end": 231.64, "word": " of", "probability": 0.96728515625}, {"start": 231.64, "end": 231.7, "word": " the", "probability": 0.489013671875}, {"start": 231.7, "end": 232.06, "word": " light", "probability": 0.64208984375}, {"start": 232.06, "end": 232.74, "word": " The", "probability": 0.43359375}, {"start": 232.74, "end": 233.22, "word": " red", "probability": 0.8779296875}, {"start": 233.22, "end": 233.36, "word": " color", "probability": 0.73095703125}, {"start": 233.36, "end": 233.58, "word": " in", "probability": 0.603515625}, {"start": 233.58, "end": 233.92, "word": " the", "probability": 0.86474609375}, {"start": 233.92, "end": 233.92, "word": " middle", "probability": 0.798828125}, {"start": 233.92, "end": 234.14, "word": " of", "probability": 0.8515625}, {"start": 234.14, "end": 234.16, "word": " the", "probability": 0.478759765625}, {"start": 234.16, "end": 234.36, "word": " point", "probability": 0.85302734375}, {"start": 234.36, "end": 234.72, "word": " spread", "probability": 0.89794921875}, {"start": 234.72, "end": 235.1, "word": " function,", "probability": 0.97119140625}, {"start": 235.14, "end": 235.32, "word": " here", "probability": 0.3720703125}, {"start": 235.32, "end": 235.38, "word": " is", "probability": 0.29541015625}, {"start": 235.38, "end": 235.56, "word": " the", "probability": 0.70751953125}, {"start": 235.56, "end": 235.68, "word": " largest", "probability": 0.326904296875}, {"start": 235.68, "end": 236.16, "word": " amount", "probability": 0.5908203125}, {"start": 236.16, "end": 236.32, "word": " of", "probability": 0.923828125}, {"start": 236.32, "end": 236.64, "word": " light", "probability": 0.8271484375}, {"start": 236.64, "end": 236.78, "word": " that", "probability": 0.184326171875}, {"start": 236.78, "end": 237.06, "word": " ended", "probability": 0.1651611328125}, {"start": 237.06, "end": 237.8, "word": " here", "probability": 0.192626953125}, {"start": 237.8, "end": 238.56, "word": " is", "probability": 0.32763671875}, {"start": 238.56, "end": 238.7, "word": " the", "probability": 0.513671875}, {"start": 238.7, "end": 239.14, "word": " intensity", "probability": 0.853515625}, {"start": 239.14, "end": 239.26, "word": " of", "probability": 0.95556640625}, {"start": 239.26, "end": 239.36, "word": " the", "probability": 0.73486328125}, {"start": 239.36, "end": 239.58, "word": " light,", "probability": 0.8359375}, {"start": 239.68, "end": 240.08, "word": " less,", "probability": 0.671875}, {"start": 240.14, "end": 240.46, "word": " less,", "probability": 0.87890625}, {"start": 240.5, "end": 240.76, "word": " less,", "probability": 0.873046875}, {"start": 240.78, "end": 240.92, "word": " but", "probability": 0.58642578125}, {"start": 240.92, "end": 241.22, "word": " these", "probability": 0.63671875}, {"start": 241.22, "end": 241.34, "word": " are", "probability": 0.927734375}, {"start": 241.34, "end": 241.68, "word": " the", "probability": 0.83154296875}, {"start": 241.68, "end": 241.68, "word": " limits", "probability": 0.736328125}, {"start": 241.68, "end": 241.88, "word": " of", "probability": 0.96484375}, {"start": 241.88, "end": 241.94, "word": " the", "probability": 0.60693359375}, {"start": 241.94, "end": 242.18, "word": " point", "probability": 0.9580078125}, {"start": 242.18, "end": 242.62, "word": " spread", "probability": 0.93212890625}, {"start": 242.62, "end": 243.08, "word": " function", "probability": 0.9697265625}], "temperature": 1.0}, {"id": 13, "seek": 27060, "start": 243.66, "end": 270.6, "text": "this is the limits of point spread function in the rectangular form that looks like a ghost to define its limits, it must be from a point in the object, this is a picture of one point let's assume that this is a condition, it means that in this body, the point is a, and this picture is a condition I didn't draw the body, nor did I draw the optical system, because I want to know what is the point spread function", "tokens": [11176, 307, 264, 10406, 295, 935, 3974, 2445, 294, 264, 31167, 1254, 300, 1542, 411, 257, 8359, 281, 6964, 1080, 10406, 11, 309, 1633, 312, 490, 257, 935, 294, 264, 2657, 11, 341, 307, 257, 3036, 295, 472, 935, 718, 311, 6552, 300, 341, 307, 257, 4188, 11, 309, 1355, 300, 294, 341, 1772, 11, 264, 935, 307, 257, 11, 293, 341, 3036, 307, 257, 4188, 286, 994, 380, 2642, 264, 1772, 11, 6051, 630, 286, 2642, 264, 20674, 1185, 11, 570, 286, 528, 281, 458, 437, 307, 264, 935, 3974, 2445], "avg_logprob": -0.5709005581435337, "compression_ratio": 1.8733031674208145, "no_speech_prob": 2.086162567138672e-06, "words": [{"start": 243.66, "end": 243.88, "word": "this", "probability": 0.21435546875}, {"start": 243.88, "end": 243.96, "word": " is", "probability": 0.90234375}, {"start": 243.96, "end": 244.28, "word": " the", "probability": 0.7373046875}, {"start": 244.28, "end": 244.28, "word": " limits", "probability": 0.5068359375}, {"start": 244.28, "end": 244.48, "word": " of", "probability": 0.92919921875}, {"start": 244.48, "end": 244.86, "word": " point", "probability": 0.6083984375}, {"start": 244.86, "end": 245.26, "word": " spread", "probability": 0.89990234375}, {"start": 245.26, "end": 245.76, "word": " function", "probability": 0.9423828125}, {"start": 245.76, "end": 245.9, "word": " in", "probability": 0.481689453125}, {"start": 245.9, "end": 246.32, "word": " the", "probability": 0.3232421875}, {"start": 246.32, "end": 246.78, "word": " rectangular", "probability": 0.0689697265625}, {"start": 246.78, "end": 247.02, "word": " form", "probability": 0.4208984375}, {"start": 247.02, "end": 247.94, "word": " that", "probability": 0.29296875}, {"start": 247.94, "end": 248.26, "word": " looks", "probability": 0.277099609375}, {"start": 248.26, "end": 249.52, "word": " like", "probability": 0.490966796875}, {"start": 249.52, "end": 250.44, "word": " a", "probability": 0.39306640625}, {"start": 250.44, "end": 250.7, "word": " ghost", "probability": 0.2156982421875}, {"start": 250.7, "end": 251.68, "word": " to", "probability": 0.1485595703125}, {"start": 251.68, "end": 252.38, "word": " define", "probability": 0.548828125}, {"start": 252.38, "end": 253.0, "word": " its", "probability": 0.478271484375}, {"start": 253.0, "end": 253.0, "word": " limits,", "probability": 0.90869140625}, {"start": 253.52, "end": 253.52, "word": " it", "probability": 0.234619140625}, {"start": 253.52, "end": 253.94, "word": " must", "probability": 0.41162109375}, {"start": 253.94, "end": 254.72, "word": " be", "probability": 0.454833984375}, {"start": 254.72, "end": 254.84, "word": " from", "probability": 0.4931640625}, {"start": 254.84, "end": 255.08, "word": " a", "probability": 0.55810546875}, {"start": 255.08, "end": 255.32, "word": " point", "probability": 0.89501953125}, {"start": 255.32, "end": 255.8, "word": " in", "probability": 0.498046875}, {"start": 255.8, "end": 255.98, "word": " the", "probability": 0.814453125}, {"start": 255.98, "end": 256.5, "word": " object,", "probability": 0.9599609375}, {"start": 256.66, "end": 256.9, "word": " this", "probability": 0.67822265625}, {"start": 256.9, "end": 256.98, "word": " is", "probability": 0.673828125}, {"start": 256.98, "end": 257.06, "word": " a", "probability": 0.4560546875}, {"start": 257.06, "end": 257.14, "word": " picture", "probability": 0.646484375}, {"start": 257.14, "end": 257.3, "word": " of", "probability": 0.94140625}, {"start": 257.3, "end": 257.82, "word": " one", "probability": 0.54443359375}, {"start": 257.82, "end": 257.82, "word": " point", "probability": 0.95068359375}, {"start": 257.82, "end": 258.36, "word": " let's", "probability": 0.6788330078125}, {"start": 258.36, "end": 258.58, "word": " assume", "probability": 0.350341796875}, {"start": 258.58, "end": 258.76, "word": " that", "probability": 0.50390625}, {"start": 258.76, "end": 258.9, "word": " this", "probability": 0.759765625}, {"start": 258.9, "end": 258.96, "word": " is", "probability": 0.689453125}, {"start": 258.96, "end": 259.12, "word": " a", "probability": 0.5068359375}, {"start": 259.12, "end": 259.4, "word": " condition,", "probability": 0.7734375}, {"start": 259.56, "end": 259.56, "word": " it", "probability": 0.18310546875}, {"start": 259.56, "end": 259.84, "word": " means", "probability": 0.9189453125}, {"start": 259.84, "end": 260.3, "word": " that", "probability": 0.61181640625}, {"start": 260.3, "end": 260.32, "word": " in", "probability": 0.4951171875}, {"start": 260.32, "end": 260.5, "word": " this", "probability": 0.8583984375}, {"start": 260.5, "end": 260.82, "word": " body,", "probability": 0.75146484375}, {"start": 261.28, "end": 261.42, "word": " the", "probability": 0.44873046875}, {"start": 261.42, "end": 261.64, "word": " point", "probability": 0.90673828125}, {"start": 261.64, "end": 261.84, "word": " is", "probability": 0.8642578125}, {"start": 261.84, "end": 262.0, "word": " a,", "probability": 0.5498046875}, {"start": 262.08, "end": 262.18, "word": " and", "probability": 0.900390625}, {"start": 262.18, "end": 262.3, "word": " this", "probability": 0.78173828125}, {"start": 262.3, "end": 262.58, "word": " picture", "probability": 0.6630859375}, {"start": 262.58, "end": 262.84, "word": " is", "probability": 0.87255859375}, {"start": 262.84, "end": 263.06, "word": " a", "probability": 0.71728515625}, {"start": 263.06, "end": 263.42, "word": " condition", "probability": 0.90087890625}, {"start": 263.42, "end": 264.16, "word": " I", "probability": 0.85498046875}, {"start": 264.16, "end": 264.42, "word": " didn't", "probability": 0.727783203125}, {"start": 264.42, "end": 264.8, "word": " draw", "probability": 0.8857421875}, {"start": 264.8, "end": 265.46, "word": " the", "probability": 0.828125}, {"start": 265.46, "end": 265.98, "word": " body,", "probability": 0.611328125}, {"start": 266.08, "end": 266.26, "word": " nor", "probability": 0.5458984375}, {"start": 266.26, "end": 266.62, "word": " did", "probability": 0.5458984375}, {"start": 266.62, "end": 266.62, "word": " I", "probability": 0.966796875}, {"start": 266.62, "end": 266.62, "word": " draw", "probability": 0.89404296875}, {"start": 266.62, "end": 266.74, "word": " the", "probability": 0.88671875}, {"start": 266.74, "end": 267.04, "word": " optical", "probability": 0.9521484375}, {"start": 267.04, "end": 267.54, "word": " system,", "probability": 0.95458984375}, {"start": 267.58, "end": 267.78, "word": " because", "probability": 0.89599609375}, {"start": 267.78, "end": 267.94, "word": " I", "probability": 0.460205078125}, {"start": 267.94, "end": 268.28, "word": " want", "probability": 0.05218505859375}, {"start": 268.28, "end": 268.48, "word": " to", "probability": 0.81640625}, {"start": 268.48, "end": 268.48, "word": " know", "probability": 0.45703125}, {"start": 268.48, "end": 268.94, "word": " what", "probability": 0.66357421875}, {"start": 268.94, "end": 269.14, "word": " is", "probability": 0.43896484375}, {"start": 269.14, "end": 269.38, "word": " the", "probability": 0.4560546875}, {"start": 269.38, "end": 269.68, "word": " point", "probability": 0.95556640625}, {"start": 269.68, "end": 270.1, "word": " spread", "probability": 0.93603515625}, {"start": 270.1, "end": 270.6, "word": " function", "probability": 0.97265625}], "temperature": 1.0}, {"id": 14, "seek": 28974, "start": 271.14, "end": 289.74, "text": "In order to know point spread function of A, in other words, in order to know the shape of A in the image, A is a point in the object, we see, we pass around 200 or 300 rays in the optical system, and we apply all of them Snell's law", "tokens": [4575, 1668, 281, 458, 935, 3974, 2445, 295, 316, 11, 294, 661, 2283, 11, 294, 1668, 281, 458, 264, 3909, 295, 316, 294, 264, 3256, 11, 316, 307, 257, 935, 294, 264, 2657, 11, 321, 536, 11, 321, 1320, 926, 2331, 420, 6641, 24417, 294, 264, 20674, 1185, 11, 293, 321, 3079, 439, 295, 552, 318, 8903, 311, 2101], "avg_logprob": -0.4736979275941849, "compression_ratio": 1.5129870129870129, "no_speech_prob": 1.1920928955078125e-06, "words": [{"start": 271.14, "end": 271.56, "word": "In", "probability": 0.18896484375}, {"start": 271.56, "end": 271.56, "word": " order", "probability": 0.90283203125}, {"start": 271.56, "end": 271.7, "word": " to", "probability": 0.9541015625}, {"start": 271.7, "end": 272.08, "word": " know", "probability": 0.572265625}, {"start": 272.08, "end": 272.52, "word": " point", "probability": 0.448974609375}, {"start": 272.52, "end": 272.98, "word": " spread", "probability": 0.8818359375}, {"start": 272.98, "end": 273.52, "word": " function", "probability": 0.94921875}, {"start": 273.52, "end": 273.86, "word": " of", "probability": 0.63671875}, {"start": 273.86, "end": 274.12, "word": " A,", "probability": 0.4765625}, {"start": 274.56, "end": 274.7, "word": " in", "probability": 0.3701171875}, {"start": 274.7, "end": 275.16, "word": " other", "probability": 0.5771484375}, {"start": 275.16, "end": 275.18, "word": " words,", "probability": 0.76416015625}, {"start": 275.34, "end": 275.46, "word": " in", "probability": 0.4443359375}, {"start": 275.46, "end": 275.46, "word": " order", "probability": 0.9306640625}, {"start": 275.46, "end": 275.62, "word": " to", "probability": 0.9716796875}, {"start": 275.62, "end": 275.88, "word": " know", "probability": 0.818359375}, {"start": 275.88, "end": 276.08, "word": " the", "probability": 0.156494140625}, {"start": 276.08, "end": 276.42, "word": " shape", "probability": 0.60693359375}, {"start": 276.42, "end": 276.64, "word": " of", "probability": 0.95263671875}, {"start": 276.64, "end": 276.92, "word": " A", "probability": 0.72412109375}, {"start": 276.92, "end": 277.96, "word": " in", "probability": 0.591796875}, {"start": 277.96, "end": 278.1, "word": " the", "probability": 0.58349609375}, {"start": 278.1, "end": 278.5, "word": " image,", "probability": 0.82470703125}, {"start": 279.24, "end": 279.46, "word": " A", "probability": 0.7314453125}, {"start": 279.46, "end": 279.66, "word": " is", "probability": 0.8544921875}, {"start": 279.66, "end": 279.92, "word": " a", "probability": 0.533203125}, {"start": 279.92, "end": 280.08, "word": " point", "probability": 0.8564453125}, {"start": 280.08, "end": 280.26, "word": " in", "probability": 0.8427734375}, {"start": 280.26, "end": 280.38, "word": " the", "probability": 0.86376953125}, {"start": 280.38, "end": 280.72, "word": " object,", "probability": 0.82080078125}, {"start": 280.82, "end": 281.0, "word": " we", "probability": 0.72412109375}, {"start": 281.0, "end": 281.28, "word": " see,", "probability": 0.457275390625}, {"start": 281.42, "end": 281.78, "word": " we", "probability": 0.8740234375}, {"start": 281.78, "end": 282.22, "word": " pass", "probability": 0.71630859375}, {"start": 282.22, "end": 282.96, "word": " around", "probability": 0.3232421875}, {"start": 282.96, "end": 283.58, "word": " 200", "probability": 0.8486328125}, {"start": 283.58, "end": 283.8, "word": " or", "probability": 0.80517578125}, {"start": 283.8, "end": 284.32, "word": " 300", "probability": 0.98095703125}, {"start": 284.32, "end": 284.86, "word": " rays", "probability": 0.6513671875}, {"start": 284.86, "end": 285.46, "word": " in", "probability": 0.400390625}, {"start": 285.46, "end": 285.54, "word": " the", "probability": 0.72412109375}, {"start": 285.54, "end": 286.0, "word": " optical", "probability": 0.71435546875}, {"start": 286.0, "end": 286.8, "word": " system,", "probability": 0.92919921875}, {"start": 286.8, "end": 287.08, "word": " and", "probability": 0.8564453125}, {"start": 287.08, "end": 287.2, "word": " we", "probability": 0.7255859375}, {"start": 287.2, "end": 287.74, "word": " apply", "probability": 0.88134765625}, {"start": 287.74, "end": 288.6, "word": " all", "probability": 0.228271484375}, {"start": 288.6, "end": 288.76, "word": " of", "probability": 0.72412109375}, {"start": 288.76, "end": 288.82, "word": " them", "probability": 0.833984375}, {"start": 288.82, "end": 289.5, "word": " Snell's", "probability": 0.755126953125}, {"start": 289.5, "end": 289.74, "word": " law", "probability": 0.6708984375}], "temperature": 1.0}, {"id": 15, "seek": 30737, "start": 290.67, "end": 307.37, "text": "On each of the rays to know how much is the angle of deflection or the angle of passage θt for each of the rays And consequently, this ray ends here, this ray ends here, this ray ends here, this one here, this one here, and so on until I see the limits of all of them, of course, this worked", "tokens": [11747, 1184, 295, 264, 24417, 281, 458, 577, 709, 307, 264, 5802, 295, 1060, 5450, 420, 264, 5802, 295, 11497, 12622, 83, 337, 1184, 295, 264, 24417, 400, 47259, 11, 341, 18592, 5314, 510, 11, 341, 18592, 5314, 510, 11, 341, 18592, 5314, 510, 11, 341, 472, 510, 11, 341, 472, 510, 11, 293, 370, 322, 1826, 286, 536, 264, 10406, 295, 439, 295, 552, 11, 295, 1164, 11, 341, 2732], "avg_logprob": -0.6176215269499354, "compression_ratio": 1.896103896103896, "no_speech_prob": 1.4066696166992188e-05, "words": [{"start": 290.67, "end": 291.01, "word": "On", "probability": 0.1512451171875}, {"start": 291.01, "end": 291.33, "word": " each", "probability": 0.447509765625}, {"start": 291.33, "end": 291.47, "word": " of", "probability": 0.1080322265625}, {"start": 291.47, "end": 291.97, "word": " the", "probability": 0.56591796875}, {"start": 291.97, "end": 291.97, "word": " rays", "probability": 0.5146484375}, {"start": 291.97, "end": 292.21, "word": " to", "probability": 0.293212890625}, {"start": 292.21, "end": 292.67, "word": " know", "probability": 0.447265625}, {"start": 292.67, "end": 293.17, "word": " how", "probability": 0.1737060546875}, {"start": 293.17, "end": 293.17, "word": " much", "probability": 0.677734375}, {"start": 293.17, "end": 293.17, "word": " is", "probability": 0.302490234375}, {"start": 293.17, "end": 293.47, "word": " the", "probability": 0.669921875}, {"start": 293.47, "end": 293.59, "word": " angle", "probability": 0.751953125}, {"start": 293.59, "end": 293.83, "word": " of", "probability": 0.89501953125}, {"start": 293.83, "end": 294.39, "word": " deflection", "probability": 0.51739501953125}, {"start": 294.39, "end": 294.99, "word": " or", "probability": 0.63671875}, {"start": 294.99, "end": 295.11, "word": " the", "probability": 0.2880859375}, {"start": 295.11, "end": 295.29, "word": " angle", "probability": 0.80126953125}, {"start": 295.29, "end": 295.51, "word": " of", "probability": 0.95556640625}, {"start": 295.51, "end": 295.79, "word": " passage", "probability": 0.1759033203125}, {"start": 295.79, "end": 296.33, "word": " θt", "probability": 0.4423828125}, {"start": 296.33, "end": 296.51, "word": " for", "probability": 0.59375}, {"start": 296.51, "end": 296.75, "word": " each", "probability": 0.9482421875}, {"start": 296.75, "end": 296.97, "word": " of", "probability": 0.54248046875}, {"start": 296.97, "end": 297.23, "word": " the", "probability": 0.85205078125}, {"start": 297.23, "end": 297.23, "word": " rays", "probability": 0.93798828125}, {"start": 297.23, "end": 297.81, "word": " And", "probability": 0.235107421875}, {"start": 297.81, "end": 298.21, "word": " consequently,", "probability": 0.2252197265625}, {"start": 298.33, "end": 298.45, "word": " this", "probability": 0.75341796875}, {"start": 298.45, "end": 298.75, "word": " ray", "probability": 0.666015625}, {"start": 298.75, "end": 298.99, "word": " ends", "probability": 0.68212890625}, {"start": 298.99, "end": 299.39, "word": " here,", "probability": 0.794921875}, {"start": 299.47, "end": 299.67, "word": " this", "probability": 0.7373046875}, {"start": 299.67, "end": 299.95, "word": " ray", "probability": 0.767578125}, {"start": 299.95, "end": 300.19, "word": " ends", "probability": 0.89208984375}, {"start": 300.19, "end": 300.49, "word": " here,", "probability": 0.82470703125}, {"start": 300.53, "end": 300.71, "word": " this", "probability": 0.84619140625}, {"start": 300.71, "end": 300.89, "word": " ray", "probability": 0.84619140625}, {"start": 300.89, "end": 301.13, "word": " ends", "probability": 0.90380859375}, {"start": 301.13, "end": 301.45, "word": " here,", "probability": 0.84912109375}, {"start": 301.55, "end": 302.03, "word": " this", "probability": 0.8388671875}, {"start": 302.03, "end": 302.09, "word": " one", "probability": 0.1851806640625}, {"start": 302.09, "end": 302.29, "word": " here,", "probability": 0.62353515625}, {"start": 302.37, "end": 302.51, "word": " this", "probability": 0.6796875}, {"start": 302.51, "end": 302.59, "word": " one", "probability": 0.88720703125}, {"start": 302.59, "end": 302.75, "word": " here,", "probability": 0.8291015625}, {"start": 302.79, "end": 302.89, "word": " and", "probability": 0.70654296875}, {"start": 302.89, "end": 303.25, "word": " so", "probability": 0.92431640625}, {"start": 303.25, "end": 303.35, "word": " on", "probability": 0.9130859375}, {"start": 303.35, "end": 303.49, "word": " until", "probability": 0.427978515625}, {"start": 303.49, "end": 303.89, "word": " I", "probability": 0.94091796875}, {"start": 303.89, "end": 304.05, "word": " see", "probability": 0.87744140625}, {"start": 304.05, "end": 304.21, "word": " the", "probability": 0.201904296875}, {"start": 304.21, "end": 304.59, "word": " limits", "probability": 0.25390625}, {"start": 304.59, "end": 304.79, "word": " of", "probability": 0.65625}, {"start": 304.79, "end": 305.29, "word": " all", "probability": 0.412109375}, {"start": 305.29, "end": 305.43, "word": " of", "probability": 0.61865234375}, {"start": 305.43, "end": 305.77, "word": " them,", "probability": 0.8291015625}, {"start": 306.01, "end": 306.01, "word": " of", "probability": 0.83740234375}, {"start": 306.01, "end": 306.67, "word": " course,", "probability": 0.958984375}, {"start": 306.79, "end": 307.03, "word": " this", "probability": 0.87939453125}, {"start": 307.03, "end": 307.37, "word": " worked", "probability": 0.1690673828125}], "temperature": 1.0}, {"id": 16, "seek": 32607, "start": 308.59, "end": 326.07, "text": "It's very fast and it doesn't take a day or two or a month or two to see one point picture. So why do I want to know the point spread function? Because it's known that I have a rule. The smaller the point spread function,", "tokens": [3522, 311, 588, 2370, 293, 309, 1177, 380, 747, 257, 786, 420, 732, 420, 257, 1618, 420, 732, 281, 536, 472, 935, 3036, 13, 407, 983, 360, 286, 528, 281, 458, 264, 935, 3974, 2445, 30, 1436, 309, 311, 2570, 300, 286, 362, 257, 4978, 13, 440, 4356, 264, 935, 3974, 2445, 11], "avg_logprob": -0.5480323831240336, "compression_ratio": 1.5136986301369864, "no_speech_prob": 1.7881393432617188e-05, "words": [{"start": 308.59000000000003, "end": 309.11, "word": "It's", "probability": 0.336395263671875}, {"start": 309.11, "end": 309.11, "word": " very", "probability": 0.273193359375}, {"start": 309.11, "end": 309.11, "word": " fast", "probability": 0.095703125}, {"start": 309.11, "end": 310.23, "word": " and", "probability": 0.5263671875}, {"start": 310.23, "end": 310.95, "word": " it", "probability": 0.341552734375}, {"start": 310.95, "end": 312.57, "word": " doesn't", "probability": 0.7081298828125}, {"start": 312.57, "end": 313.03, "word": " take", "probability": 0.55029296875}, {"start": 313.03, "end": 313.45, "word": " a", "probability": 0.2900390625}, {"start": 313.45, "end": 313.71, "word": " day", "probability": 0.80517578125}, {"start": 313.71, "end": 313.91, "word": " or", "probability": 0.7314453125}, {"start": 313.91, "end": 314.29, "word": " two", "probability": 0.90087890625}, {"start": 314.29, "end": 314.53, "word": " or", "probability": 0.70166015625}, {"start": 314.53, "end": 314.93, "word": " a", "probability": 0.4541015625}, {"start": 314.93, "end": 315.15, "word": " month", "probability": 0.89599609375}, {"start": 315.15, "end": 315.33, "word": " or", "probability": 0.859375}, {"start": 315.33, "end": 315.67, "word": " two", "probability": 0.91259765625}, {"start": 315.67, "end": 315.87, "word": " to", "probability": 0.306396484375}, {"start": 315.87, "end": 316.59, "word": " see", "probability": 0.6611328125}, {"start": 316.59, "end": 317.21, "word": " one", "probability": 0.474365234375}, {"start": 317.21, "end": 317.59, "word": " point", "probability": 0.65576171875}, {"start": 317.59, "end": 318.19, "word": " picture.", "probability": 0.2113037109375}, {"start": 318.49, "end": 318.69, "word": " So", "probability": 0.26953125}, {"start": 318.69, "end": 318.85, "word": " why", "probability": 0.74462890625}, {"start": 318.85, "end": 318.85, "word": " do", "probability": 0.59765625}, {"start": 318.85, "end": 319.11, "word": " I", "probability": 0.966796875}, {"start": 319.11, "end": 319.33, "word": " want", "probability": 0.712890625}, {"start": 319.33, "end": 319.41, "word": " to", "probability": 0.96875}, {"start": 319.41, "end": 319.63, "word": " know", "probability": 0.80517578125}, {"start": 319.63, "end": 319.81, "word": " the", "probability": 0.494140625}, {"start": 319.81, "end": 320.05, "word": " point", "probability": 0.81591796875}, {"start": 320.05, "end": 320.37, "word": " spread", "probability": 0.92919921875}, {"start": 320.37, "end": 321.51, "word": " function?", "probability": 0.91796875}, {"start": 321.63, "end": 321.77, "word": " Because", "probability": 0.828125}, {"start": 321.77, "end": 321.97, "word": " it's", "probability": 0.661865234375}, {"start": 321.97, "end": 322.19, "word": " known", "probability": 0.60400390625}, {"start": 322.19, "end": 322.51, "word": " that", "probability": 0.88720703125}, {"start": 322.51, "end": 322.71, "word": " I", "probability": 0.7548828125}, {"start": 322.71, "end": 322.89, "word": " have", "probability": 0.912109375}, {"start": 322.89, "end": 323.01, "word": " a", "probability": 0.9189453125}, {"start": 323.01, "end": 323.27, "word": " rule.", "probability": 0.485107421875}, {"start": 323.89, "end": 324.11, "word": " The", "probability": 0.6455078125}, {"start": 324.11, "end": 324.19, "word": " smaller", "probability": 0.73193359375}, {"start": 324.19, "end": 324.79, "word": " the", "probability": 0.81640625}, {"start": 324.79, "end": 325.05, "word": " point", "probability": 0.9443359375}, {"start": 325.05, "end": 325.47, "word": " spread", "probability": 0.931640625}, {"start": 325.47, "end": 326.07, "word": " function,", "probability": 0.9775390625}], "temperature": 1.0}, {"id": 17, "seek": 34866, "start": 327.0, "end": 348.66, "text": "The higher the equality, why? Because when the point spread function is smaller, its limits are smaller, it means that its interaction with the point spread function of the second point is less, and of the third point is less, and we said that the stigmatic image, which is the image of the original quality, which is the original quality must be a point, like the object is a point", "tokens": [2278, 2946, 264, 14949, 11, 983, 30, 1436, 562, 264, 935, 3974, 2445, 307, 4356, 11, 1080, 10406, 366, 4356, 11, 309, 1355, 300, 1080, 9285, 365, 264, 935, 3974, 2445, 295, 264, 1150, 935, 307, 1570, 11, 293, 295, 264, 2636, 935, 307, 1570, 11, 293, 321, 848, 300, 264, 342, 20181, 2399, 3256, 11, 597, 307, 264, 3256, 295, 264, 3380, 3125, 11, 597, 307, 264, 3380, 3125, 1633, 312, 257, 935, 11, 411, 264, 2657, 307, 257, 935], "avg_logprob": -0.4626524502911219, "compression_ratio": 1.9690721649484537, "no_speech_prob": 2.5510787963867188e-05, "words": [{"start": 327.0, "end": 327.22, "word": "The", "probability": 0.1988525390625}, {"start": 327.22, "end": 327.26, "word": " higher", "probability": 0.67578125}, {"start": 327.26, "end": 327.74, "word": " the", "probability": 0.66552734375}, {"start": 327.74, "end": 328.14, "word": " equality,", "probability": 0.68603515625}, {"start": 328.46, "end": 328.9, "word": " why?", "probability": 0.7265625}, {"start": 329.18, "end": 329.46, "word": " Because", "probability": 0.82275390625}, {"start": 329.46, "end": 329.68, "word": " when", "probability": 0.81103515625}, {"start": 329.68, "end": 329.86, "word": " the", "probability": 0.70849609375}, {"start": 329.86, "end": 330.1, "word": " point", "probability": 0.8232421875}, {"start": 330.1, "end": 330.44, "word": " spread", "probability": 0.92724609375}, {"start": 330.44, "end": 331.02, "word": " function", "probability": 0.966796875}, {"start": 331.02, "end": 331.44, "word": " is", "probability": 0.77978515625}, {"start": 331.44, "end": 331.94, "word": " smaller,", "probability": 0.703125}, {"start": 332.36, "end": 332.44, "word": " its", "probability": 0.242431640625}, {"start": 332.44, "end": 332.76, "word": " limits", "probability": 0.58984375}, {"start": 332.76, "end": 333.0, "word": " are", "probability": 0.87451171875}, {"start": 333.0, "end": 333.34, "word": " smaller,", "probability": 0.79736328125}, {"start": 333.78, "end": 333.78, "word": " it", "probability": 0.353515625}, {"start": 333.78, "end": 334.04, "word": " means", "probability": 0.8974609375}, {"start": 334.04, "end": 334.18, "word": " that", "probability": 0.7626953125}, {"start": 334.18, "end": 334.24, "word": " its", "probability": 0.51953125}, {"start": 334.24, "end": 334.54, "word": " interaction", "probability": 0.482177734375}, {"start": 334.54, "end": 334.88, "word": " with", "probability": 0.89013671875}, {"start": 334.88, "end": 335.04, "word": " the", "probability": 0.68408203125}, {"start": 335.04, "end": 335.24, "word": " point", "probability": 0.94140625}, {"start": 335.24, "end": 335.62, "word": " spread", "probability": 0.84814453125}, {"start": 335.62, "end": 336.08, "word": " function", "probability": 0.95703125}, {"start": 336.08, "end": 336.28, "word": " of", "probability": 0.53076171875}, {"start": 336.28, "end": 336.4, "word": " the", "probability": 0.82666015625}, {"start": 336.4, "end": 337.0, "word": " second", "probability": 0.73681640625}, {"start": 337.0, "end": 337.12, "word": " point", "probability": 0.67626953125}, {"start": 337.12, "end": 337.34, "word": " is", "probability": 0.79736328125}, {"start": 337.34, "end": 337.7, "word": " less,", "probability": 0.68896484375}, {"start": 337.86, "end": 338.22, "word": " and", "probability": 0.884765625}, {"start": 338.22, "end": 338.38, "word": " of", "probability": 0.4189453125}, {"start": 338.38, "end": 338.8, "word": " the", "probability": 0.91845703125}, {"start": 338.8, "end": 338.94, "word": " third", "probability": 0.91357421875}, {"start": 338.94, "end": 339.02, "word": " point", "probability": 0.9443359375}, {"start": 339.02, "end": 339.12, "word": " is", "probability": 0.70751953125}, {"start": 339.12, "end": 339.42, "word": " less,", "probability": 0.8662109375}, {"start": 339.82, "end": 339.92, "word": " and", "probability": 0.83203125}, {"start": 339.92, "end": 340.1, "word": " we", "probability": 0.84423828125}, {"start": 340.1, "end": 340.36, "word": " said", "probability": 0.783203125}, {"start": 340.36, "end": 340.5, "word": " that", "probability": 0.69287109375}, {"start": 340.5, "end": 340.54, "word": " the", "probability": 0.78271484375}, {"start": 340.54, "end": 341.18, "word": " stigmatic", "probability": 0.720703125}, {"start": 341.18, "end": 341.56, "word": " image,", "probability": 0.95068359375}, {"start": 341.62, "end": 341.74, "word": " which", "probability": 0.32666015625}, {"start": 341.74, "end": 341.74, "word": " is", "probability": 0.8330078125}, {"start": 341.74, "end": 341.86, "word": " the", "probability": 0.5048828125}, {"start": 341.86, "end": 342.14, "word": " image", "probability": 0.54345703125}, {"start": 342.14, "end": 342.2, "word": " of", "probability": 0.2186279296875}, {"start": 342.2, "end": 342.52, "word": " the", "probability": 0.326904296875}, {"start": 342.52, "end": 342.74, "word": " original", "probability": 0.61962890625}, {"start": 342.74, "end": 342.86, "word": " quality,", "probability": 0.37451171875}, {"start": 344.3, "end": 344.4, "word": " which", "probability": 0.55712890625}, {"start": 344.4, "end": 344.56, "word": " is", "probability": 0.8994140625}, {"start": 344.56, "end": 345.02, "word": " the", "probability": 0.552734375}, {"start": 345.02, "end": 345.2, "word": " original", "probability": 0.86328125}, {"start": 345.2, "end": 345.3, "word": " quality", "probability": 0.489990234375}, {"start": 345.3, "end": 345.8, "word": " must", "probability": 0.296630859375}, {"start": 345.8, "end": 346.22, "word": " be", "probability": 0.91845703125}, {"start": 346.22, "end": 346.6, "word": " a", "probability": 0.734375}, {"start": 346.6, "end": 347.02, "word": " point,", "probability": 0.91943359375}, {"start": 347.16, "end": 347.36, "word": " like", "probability": 0.39599609375}, {"start": 347.36, "end": 347.76, "word": " the", "probability": 0.71044921875}, {"start": 347.76, "end": 348.18, "word": " object", "probability": 0.9072265625}, {"start": 348.18, "end": 348.44, "word": " is", "probability": 0.3505859375}, {"start": 348.44, "end": 348.44, "word": " a", "probability": 0.9267578125}, {"start": 348.44, "end": 348.66, "word": " point", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 18, "seek": 37764, "start": 349.02, "end": 377.64, "text": "A point means that A condition must be a point and B point means that B condition must be a point and so on. So, as long as I have A as a certain area that I call the point spread function of the area in the image or part of the image, it means that I must know its limits. In order to know its limits, I must follow literally exact ray tracing for hundreds of rays must be exactly traced in order to know the limits of the point spread function.", "tokens": [32, 935, 1355, 300, 316, 4188, 1633, 312, 257, 935, 293, 363, 935, 1355, 300, 363, 4188, 1633, 312, 257, 935, 293, 370, 322, 13, 407, 11, 382, 938, 382, 286, 362, 316, 382, 257, 1629, 1859, 300, 286, 818, 264, 935, 3974, 2445, 295, 264, 1859, 294, 264, 3256, 420, 644, 295, 264, 3256, 11, 309, 1355, 300, 286, 1633, 458, 1080, 10406, 13, 682, 1668, 281, 458, 1080, 10406, 11, 286, 1633, 1524, 3736, 1900, 18592, 25262, 337, 6779, 295, 24417, 1633, 312, 2293, 38141, 294, 1668, 281, 458, 264, 10406, 295, 264, 935, 3974, 2445, 13], "avg_logprob": -0.3790625023841858, "compression_ratio": 2.0458715596330275, "no_speech_prob": 2.86102294921875e-06, "words": [{"start": 349.02, "end": 349.28, "word": "A", "probability": 0.451416015625}, {"start": 349.28, "end": 349.76, "word": " point", "probability": 0.322021484375}, {"start": 349.76, "end": 350.08, "word": " means", "probability": 0.5771484375}, {"start": 350.08, "end": 350.24, "word": " that", "probability": 0.315673828125}, {"start": 350.24, "end": 350.38, "word": " A", "probability": 0.4384765625}, {"start": 350.38, "end": 350.62, "word": " condition", "probability": 0.76513671875}, {"start": 350.62, "end": 350.92, "word": " must", "probability": 0.6259765625}, {"start": 350.92, "end": 351.24, "word": " be", "probability": 0.8544921875}, {"start": 351.24, "end": 351.4, "word": " a", "probability": 0.44140625}, {"start": 351.4, "end": 351.56, "word": " point", "probability": 0.95068359375}, {"start": 351.56, "end": 351.82, "word": " and", "probability": 0.379150390625}, {"start": 351.82, "end": 352.04, "word": " B", "probability": 0.90185546875}, {"start": 352.04, "end": 352.42, "word": " point", "probability": 0.5556640625}, {"start": 352.42, "end": 352.94, "word": " means", "probability": 0.54443359375}, {"start": 352.94, "end": 352.94, "word": " that", "probability": 0.8818359375}, {"start": 352.94, "end": 353.1, "word": " B", "probability": 0.95263671875}, {"start": 353.1, "end": 353.36, "word": " condition", "probability": 0.9169921875}, {"start": 353.36, "end": 353.62, "word": " must", "probability": 0.8408203125}, {"start": 353.62, "end": 353.9, "word": " be", "probability": 0.90283203125}, {"start": 353.9, "end": 353.98, "word": " a", "probability": 0.87890625}, {"start": 353.98, "end": 354.12, "word": " point", "probability": 0.97021484375}, {"start": 354.12, "end": 354.26, "word": " and", "probability": 0.58642578125}, {"start": 354.26, "end": 354.48, "word": " so", "probability": 0.85107421875}, {"start": 354.48, "end": 354.64, "word": " on.", "probability": 0.857421875}, {"start": 354.76, "end": 354.84, "word": " So,", "probability": 0.316162109375}, {"start": 355.3, "end": 355.52, "word": " as", "probability": 0.55078125}, {"start": 355.52, "end": 355.68, "word": " long", "probability": 0.89111328125}, {"start": 355.68, "end": 355.72, "word": " as", "probability": 0.96484375}, {"start": 355.72, "end": 355.92, "word": " I", "probability": 0.95458984375}, {"start": 355.92, "end": 356.26, "word": " have", "probability": 0.92529296875}, {"start": 356.26, "end": 356.64, "word": " A", "probability": 0.72021484375}, {"start": 356.64, "end": 357.02, "word": " as", "probability": 0.339599609375}, {"start": 357.02, "end": 357.42, "word": " a", "probability": 0.81396484375}, {"start": 357.42, "end": 357.54, "word": " certain", "probability": 0.394287109375}, {"start": 357.54, "end": 357.9, "word": " area", "probability": 0.65234375}, {"start": 357.9, "end": 358.06, "word": " that", "probability": 0.2279052734375}, {"start": 358.06, "end": 358.52, "word": " I", "probability": 0.94482421875}, {"start": 358.52, "end": 358.8, "word": " call", "probability": 0.794921875}, {"start": 358.8, "end": 359.12, "word": " the", "probability": 0.3662109375}, {"start": 359.12, "end": 359.36, "word": " point", "probability": 0.80712890625}, {"start": 359.36, "end": 359.68, "word": " spread", "probability": 0.9091796875}, {"start": 359.68, "end": 360.3, "word": " function", "probability": 0.9814453125}, {"start": 360.3, "end": 360.54, "word": " of", "probability": 0.60400390625}, {"start": 360.54, "end": 360.68, "word": " the", "probability": 0.410400390625}, {"start": 360.68, "end": 360.98, "word": " area", "probability": 0.7470703125}, {"start": 360.98, "end": 361.14, "word": " in", "probability": 0.759765625}, {"start": 361.14, "end": 361.28, "word": " the", "probability": 0.8984375}, {"start": 361.28, "end": 361.52, "word": " image", "probability": 0.884765625}, {"start": 361.52, "end": 361.68, "word": " or", "probability": 0.79638671875}, {"start": 361.68, "end": 361.94, "word": " part", "probability": 0.6767578125}, {"start": 361.94, "end": 362.14, "word": " of", "probability": 0.97314453125}, {"start": 362.14, "end": 362.3, "word": " the", "probability": 0.90966796875}, {"start": 362.3, "end": 362.58, "word": " image,", "probability": 0.91650390625}, {"start": 363.04, "end": 363.08, "word": " it", "probability": 0.64404296875}, {"start": 363.08, "end": 363.2, "word": " means", "probability": 0.91259765625}, {"start": 363.2, "end": 363.4, "word": " that", "probability": 0.83203125}, {"start": 363.4, "end": 363.5, "word": " I", "probability": 0.97265625}, {"start": 363.5, "end": 363.66, "word": " must", "probability": 0.603515625}, {"start": 363.66, "end": 364.0, "word": " know", "probability": 0.86669921875}, {"start": 364.0, "end": 364.54, "word": " its", "probability": 0.74267578125}, {"start": 364.54, "end": 364.54, "word": " limits.", "probability": 0.53759765625}, {"start": 364.76, "end": 364.9, "word": " In", "probability": 0.3876953125}, {"start": 364.9, "end": 364.92, "word": " order", "probability": 0.92333984375}, {"start": 364.92, "end": 365.02, "word": " to", "probability": 0.9580078125}, {"start": 365.02, "end": 365.26, "word": " know", "probability": 0.81103515625}, {"start": 365.26, "end": 365.42, "word": " its", "probability": 0.80078125}, {"start": 365.42, "end": 365.66, "word": " limits,", "probability": 0.93798828125}, {"start": 365.94, "end": 366.64, "word": " I", "probability": 0.9775390625}, {"start": 366.64, "end": 366.64, "word": " must", "probability": 0.7744140625}, {"start": 366.64, "end": 367.2, "word": " follow", "probability": 0.384521484375}, {"start": 367.2, "end": 368.06, "word": " literally", "probability": 0.494873046875}, {"start": 368.06, "end": 368.7, "word": " exact", "probability": 0.68994140625}, {"start": 368.7, "end": 369.08, "word": " ray", "probability": 0.85888671875}, {"start": 369.08, "end": 369.62, "word": " tracing", "probability": 0.82763671875}, {"start": 369.62, "end": 370.32, "word": " for", "probability": 0.55029296875}, {"start": 370.32, "end": 370.7, "word": " hundreds", "probability": 0.91796875}, {"start": 370.7, "end": 372.1, "word": " of", "probability": 0.96728515625}, {"start": 372.1, "end": 372.42, "word": " rays", "probability": 0.84619140625}, {"start": 372.42, "end": 373.0, "word": " must", "probability": 0.316162109375}, {"start": 373.0, "end": 373.44, "word": " be", "probability": 0.9501953125}, {"start": 373.44, "end": 374.44, "word": " exactly", "probability": 0.9228515625}, {"start": 374.44, "end": 375.1, "word": " traced", "probability": 0.9716796875}, {"start": 375.1, "end": 375.64, "word": " in", "probability": 0.52978515625}, {"start": 375.64, "end": 375.64, "word": " order", "probability": 0.92822265625}, {"start": 375.64, "end": 375.84, "word": " to", "probability": 0.970703125}, {"start": 375.84, "end": 376.06, "word": " know", "probability": 0.81494140625}, {"start": 376.06, "end": 376.26, "word": " the", "probability": 0.8984375}, {"start": 376.26, "end": 376.44, "word": " limits", "probability": 0.89013671875}, {"start": 376.44, "end": 376.62, "word": " of", "probability": 0.95849609375}, {"start": 376.62, "end": 376.68, "word": " the", "probability": 0.7841796875}, {"start": 376.68, "end": 376.88, "word": " point", "probability": 0.95263671875}, {"start": 376.88, "end": 377.24, "word": " spread", "probability": 0.91259765625}, {"start": 377.24, "end": 377.64, "word": " function.", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 19, "seek": 40366, "start": 378.5, "end": 403.66, "text": "How do we know image quality? We define point spread function, if it's too small, image quality will be higher, if it's too big, image quality will be lower. Because if point spread function is too big, the interaction between point spread functions will be higher because it's too big, and if it's too small, the interaction between point spread functions will be lower.", "tokens": [6462, 360, 321, 458, 3256, 3125, 30, 492, 6964, 935, 3974, 2445, 11, 498, 309, 311, 886, 1359, 11, 3256, 3125, 486, 312, 2946, 11, 498, 309, 311, 886, 955, 11, 3256, 3125, 486, 312, 3126, 13, 1436, 498, 935, 3974, 2445, 307, 886, 955, 11, 264, 9285, 1296, 935, 3974, 6828, 486, 312, 2946, 570, 309, 311, 886, 955, 11, 293, 498, 309, 311, 886, 1359, 11, 264, 9285, 1296, 935, 3974, 6828, 486, 312, 3126, 13], "avg_logprob": -0.6048259418221968, "compression_ratio": 2.456953642384106, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 378.5, "end": 378.74, "word": "How", "probability": 0.08367919921875}, {"start": 378.74, "end": 378.74, "word": " do", "probability": 0.31005859375}, {"start": 378.74, "end": 378.74, "word": " we", "probability": 0.79638671875}, {"start": 378.74, "end": 379.0, "word": " know", "probability": 0.67919921875}, {"start": 379.0, "end": 379.52, "word": " image", "probability": 0.51171875}, {"start": 379.52, "end": 380.12, "word": " quality?", "probability": 0.82177734375}, {"start": 381.74, "end": 381.82, "word": " We", "probability": 0.4404296875}, {"start": 381.82, "end": 382.24, "word": " define", "probability": 0.126708984375}, {"start": 382.24, "end": 382.78, "word": " point", "probability": 0.515625}, {"start": 382.78, "end": 383.16, "word": " spread", "probability": 0.88232421875}, {"start": 383.16, "end": 383.76, "word": " function,", "probability": 0.92041015625}, {"start": 384.06, "end": 384.88, "word": " if", "probability": 0.428955078125}, {"start": 384.88, "end": 385.3, "word": " it's", "probability": 0.4954833984375}, {"start": 385.3, "end": 385.34, "word": " too", "probability": 0.273681640625}, {"start": 385.34, "end": 385.76, "word": " small,", "probability": 0.83056640625}, {"start": 386.12, "end": 387.14, "word": " image", "probability": 0.68701171875}, {"start": 387.14, "end": 387.66, "word": " quality", "probability": 0.84912109375}, {"start": 387.66, "end": 387.76, "word": " will", "probability": 0.486083984375}, {"start": 387.76, "end": 387.76, "word": " be", "probability": 0.88134765625}, {"start": 387.76, "end": 387.94, "word": " higher,", "probability": 0.6484375}, {"start": 388.1, "end": 388.28, "word": " if", "probability": 0.8369140625}, {"start": 388.28, "end": 388.54, "word": " it's", "probability": 0.937255859375}, {"start": 388.54, "end": 388.74, "word": " too", "probability": 0.42529296875}, {"start": 388.74, "end": 388.88, "word": " big,", "probability": 0.697265625}, {"start": 389.08, "end": 389.16, "word": " image", "probability": 0.74755859375}, {"start": 389.16, "end": 389.16, "word": " quality", "probability": 0.87109375}, {"start": 389.16, "end": 389.16, "word": " will", "probability": 0.8642578125}, {"start": 389.16, "end": 389.2, "word": " be", "probability": 0.91064453125}, {"start": 389.2, "end": 389.54, "word": " lower.", "probability": 0.47314453125}, {"start": 390.52, "end": 390.82, "word": " Because", "probability": 0.5419921875}, {"start": 390.82, "end": 391.12, "word": " if", "probability": 0.12744140625}, {"start": 391.12, "end": 391.88, "word": " point", "probability": 0.7109375}, {"start": 391.88, "end": 392.3, "word": " spread", "probability": 0.859375}, {"start": 392.3, "end": 393.12, "word": " function", "probability": 0.86767578125}, {"start": 393.12, "end": 393.12, "word": " is", "probability": 0.6767578125}, {"start": 393.12, "end": 393.12, "word": " too", "probability": 0.484619140625}, {"start": 393.12, "end": 393.12, "word": " big,", "probability": 0.69384765625}, {"start": 393.3, "end": 393.32, "word": " the", "probability": 0.330078125}, {"start": 393.32, "end": 393.72, "word": " interaction", "probability": 0.294677734375}, {"start": 393.72, "end": 394.14, "word": " between", "probability": 0.75048828125}, {"start": 394.14, "end": 394.56, "word": " point", "probability": 0.449462890625}, {"start": 394.56, "end": 395.04, "word": " spread", "probability": 0.84423828125}, {"start": 395.04, "end": 395.96, "word": " functions", "probability": 0.354248046875}, {"start": 395.96, "end": 397.7, "word": " will", "probability": 0.2418212890625}, {"start": 397.7, "end": 399.7, "word": " be", "probability": 0.80712890625}, {"start": 399.7, "end": 399.98, "word": " higher", "probability": 0.32763671875}, {"start": 399.98, "end": 400.16, "word": " because", "probability": 0.390625}, {"start": 400.16, "end": 400.44, "word": " it's", "probability": 0.51300048828125}, {"start": 400.44, "end": 400.5, "word": " too", "probability": 0.392578125}, {"start": 400.5, "end": 401.02, "word": " big,", "probability": 0.82763671875}, {"start": 401.28, "end": 401.38, "word": " and", "probability": 0.71728515625}, {"start": 401.38, "end": 401.5, "word": " if", "probability": 0.74267578125}, {"start": 401.5, "end": 401.82, "word": " it's", "probability": 0.936767578125}, {"start": 401.82, "end": 401.92, "word": " too", "probability": 0.9013671875}, {"start": 401.92, "end": 402.22, "word": " small,", "probability": 0.724609375}, {"start": 402.44, "end": 402.78, "word": " the", "probability": 0.314697265625}, {"start": 402.78, "end": 403.0, "word": " interaction", "probability": 0.7294921875}, {"start": 403.0, "end": 403.28, "word": " between", "probability": 0.303466796875}, {"start": 403.28, "end": 403.28, "word": " point", "probability": 0.40771484375}, {"start": 403.28, "end": 403.28, "word": " spread", "probability": 0.80810546875}, {"start": 403.28, "end": 403.28, "word": " functions", "probability": 0.77978515625}, {"start": 403.28, "end": 403.28, "word": " will", "probability": 0.84765625}, {"start": 403.28, "end": 403.3, "word": " be", "probability": 0.8837890625}, {"start": 403.3, "end": 403.66, "word": " lower.", "probability": 0.24267578125}], "temperature": 1.0}, {"id": 20, "seek": 42054, "start": 403.7, "end": 420.54, "text": "Of course, the scientists were very realistic in this field, they said, well, we are basically unable to create an optical system or a lens or a refracting service that gives me high image quality, so why should I bother with image equality?", "tokens": [23919, 1164, 11, 264, 7708, 645, 588, 12465, 294, 341, 2519, 11, 436, 848, 11, 731, 11, 321, 366, 1936, 11299, 281, 1884, 364, 20674, 1185, 420, 257, 6765, 420, 257, 45353, 278, 2643, 300, 2709, 385, 1090, 3256, 3125, 11, 370, 983, 820, 286, 8677, 365, 3256, 14949, 30], "avg_logprob": -0.45036764121523093, "compression_ratio": 1.4606060606060607, "no_speech_prob": 5.030632019042969e-05, "words": [{"start": 403.7, "end": 403.96, "word": "Of", "probability": 0.274658203125}, {"start": 403.96, "end": 404.72, "word": " course,", "probability": 0.92724609375}, {"start": 405.18, "end": 405.24, "word": " the", "probability": 0.435791015625}, {"start": 405.24, "end": 405.56, "word": " scientists", "probability": 0.6787109375}, {"start": 405.56, "end": 406.22, "word": " were", "probability": 0.63232421875}, {"start": 406.22, "end": 406.3, "word": " very", "probability": 0.63232421875}, {"start": 406.3, "end": 406.86, "word": " realistic", "probability": 0.779296875}, {"start": 406.86, "end": 407.5, "word": " in", "probability": 0.69677734375}, {"start": 407.5, "end": 408.1, "word": " this", "probability": 0.86328125}, {"start": 408.1, "end": 408.4, "word": " field,", "probability": 0.693359375}, {"start": 408.6, "end": 408.66, "word": " they", "probability": 0.724609375}, {"start": 408.66, "end": 408.66, "word": " said,", "probability": 0.892578125}, {"start": 408.74, "end": 408.98, "word": " well,", "probability": 0.1605224609375}, {"start": 409.16, "end": 409.28, "word": " we", "probability": 0.71240234375}, {"start": 409.28, "end": 409.44, "word": " are", "probability": 0.272216796875}, {"start": 409.44, "end": 409.9, "word": " basically", "probability": 0.4404296875}, {"start": 409.9, "end": 410.3, "word": " unable", "probability": 0.63671875}, {"start": 410.3, "end": 410.66, "word": " to", "probability": 0.97412109375}, {"start": 410.66, "end": 411.04, "word": " create", "probability": 0.54248046875}, {"start": 411.04, "end": 411.74, "word": " an", "probability": 0.74365234375}, {"start": 411.74, "end": 412.06, "word": " optical", "probability": 0.958984375}, {"start": 412.06, "end": 412.74, "word": " system", "probability": 0.95751953125}, {"start": 412.74, "end": 412.96, "word": " or", "probability": 0.8017578125}, {"start": 412.96, "end": 413.08, "word": " a", "probability": 0.6435546875}, {"start": 413.08, "end": 413.4, "word": " lens", "probability": 0.58056640625}, {"start": 413.4, "end": 413.76, "word": " or", "probability": 0.8974609375}, {"start": 413.76, "end": 413.86, "word": " a", "probability": 0.5263671875}, {"start": 413.86, "end": 414.4, "word": " refracting", "probability": 0.642578125}, {"start": 414.4, "end": 414.82, "word": " service", "probability": 0.7431640625}, {"start": 414.82, "end": 414.98, "word": " that", "probability": 0.64599609375}, {"start": 414.98, "end": 415.16, "word": " gives", "probability": 0.64208984375}, {"start": 415.16, "end": 415.38, "word": " me", "probability": 0.75927734375}, {"start": 415.38, "end": 415.38, "word": " high", "probability": 0.47705078125}, {"start": 415.38, "end": 415.6, "word": " image", "probability": 0.8837890625}, {"start": 415.6, "end": 416.16, "word": " quality,", "probability": 0.853515625}, {"start": 416.54, "end": 417.02, "word": " so", "probability": 0.73046875}, {"start": 417.02, "end": 417.3, "word": " why", "probability": 0.9150390625}, {"start": 417.3, "end": 417.36, "word": " should", "probability": 0.703125}, {"start": 417.36, "end": 417.44, "word": " I", "probability": 0.98828125}, {"start": 417.44, "end": 417.78, "word": " bother", "probability": 0.2900390625}, {"start": 417.78, "end": 419.2, "word": " with", "probability": 0.494384765625}, {"start": 419.2, "end": 419.74, "word": " image", "probability": 0.830078125}, {"start": 419.74, "end": 420.54, "word": " equality?", "probability": 0.72412109375}], "temperature": 1.0}, {"id": 21, "seek": 43670, "start": 421.76, "end": 436.7, "text": "To determine the point spread function, or let's read from the beginning, ignoring image quality is the first thing in the first order optics, the first thing in the first order optics system that scientists adopted is ignoring image quality", "tokens": [13342, 6997, 264, 935, 3974, 2445, 11, 420, 718, 311, 1401, 490, 264, 2863, 11, 26258, 3256, 3125, 307, 264, 700, 551, 294, 264, 700, 1668, 42599, 11, 264, 700, 551, 294, 264, 700, 1668, 42599, 1185, 300, 7708, 12175, 307, 26258, 3256, 3125], "avg_logprob": -0.3937500105963813, "compression_ratio": 1.8396946564885497, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 421.76, "end": 421.98, "word": "To", "probability": 0.642578125}, {"start": 421.98, "end": 422.54, "word": " determine", "probability": 0.8759765625}, {"start": 422.54, "end": 423.28, "word": " the", "probability": 0.76904296875}, {"start": 423.28, "end": 423.6, "word": " point", "probability": 0.826171875}, {"start": 423.6, "end": 424.06, "word": " spread", "probability": 0.88916015625}, {"start": 424.06, "end": 424.7, "word": " function,", "probability": 0.96728515625}, {"start": 425.04, "end": 425.1, "word": " or", "probability": 0.251953125}, {"start": 425.1, "end": 425.34, "word": " let's", "probability": 0.74560546875}, {"start": 425.34, "end": 425.48, "word": " read", "probability": 0.85546875}, {"start": 425.48, "end": 425.64, "word": " from", "probability": 0.7373046875}, {"start": 425.64, "end": 425.8, "word": " the", "probability": 0.8525390625}, {"start": 425.8, "end": 425.98, "word": " beginning,", "probability": 0.5283203125}, {"start": 426.16, "end": 426.54, "word": " ignoring", "probability": 0.79638671875}, {"start": 426.54, "end": 426.92, "word": " image", "probability": 0.876953125}, {"start": 426.92, "end": 427.3, "word": " quality", "probability": 0.79541015625}, {"start": 427.3, "end": 427.48, "word": " is", "probability": 0.8037109375}, {"start": 427.48, "end": 427.62, "word": " the", "probability": 0.69091796875}, {"start": 427.62, "end": 427.94, "word": " first", "probability": 0.80712890625}, {"start": 427.94, "end": 428.32, "word": " thing", "probability": 0.68505859375}, {"start": 428.32, "end": 428.5, "word": " in", "probability": 0.80712890625}, {"start": 428.5, "end": 428.62, "word": " the", "probability": 0.256103515625}, {"start": 428.62, "end": 428.92, "word": " first", "probability": 0.8232421875}, {"start": 428.92, "end": 429.38, "word": " order", "probability": 0.7216796875}, {"start": 429.38, "end": 430.0, "word": " optics,", "probability": 0.9296875}, {"start": 430.36, "end": 430.56, "word": " the", "probability": 0.465087890625}, {"start": 430.56, "end": 430.72, "word": " first", "probability": 0.83984375}, {"start": 430.72, "end": 431.1, "word": " thing", "probability": 0.90283203125}, {"start": 431.1, "end": 431.26, "word": " in", "probability": 0.7705078125}, {"start": 431.26, "end": 431.36, "word": " the", "probability": 0.85400390625}, {"start": 431.36, "end": 432.16, "word": " first", "probability": 0.6181640625}, {"start": 432.16, "end": 432.62, "word": " order", "probability": 0.92138671875}, {"start": 432.62, "end": 433.88, "word": " optics", "probability": 0.9853515625}, {"start": 433.88, "end": 433.88, "word": " system", "probability": 0.7001953125}, {"start": 433.88, "end": 434.06, "word": " that", "probability": 0.263427734375}, {"start": 434.06, "end": 434.66, "word": " scientists", "probability": 0.64111328125}, {"start": 434.66, "end": 434.66, "word": " adopted", "probability": 0.2939453125}, {"start": 434.66, "end": 434.98, "word": " is", "probability": 0.591796875}, {"start": 434.98, "end": 435.66, "word": " ignoring", "probability": 0.78173828125}, {"start": 435.66, "end": 436.2, "word": " image", "probability": 0.884765625}, {"start": 436.2, "end": 436.7, "word": " quality", "probability": 0.86083984375}], "temperature": 1.0}, {"id": 22, "seek": 45610, "start": 437.04, "end": 456.1, "text": "To determine image quality, it is necessary to know how light from a single object point is distributed in the image, to know the point spread function", "tokens": [13342, 6997, 3256, 3125, 11, 309, 307, 4818, 281, 458, 577, 1442, 490, 257, 2167, 2657, 935, 307, 12631, 294, 264, 3256, 11, 281, 458, 264, 935, 3974, 2445], "avg_logprob": -0.22578124552965165, "compression_ratio": 1.336283185840708, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 437.04, "end": 437.64, "word": "To", "probability": 0.5341796875}, {"start": 437.64, "end": 438.2, "word": " determine", "probability": 0.908203125}, {"start": 438.2, "end": 438.72, "word": " image", "probability": 0.904296875}, {"start": 438.72, "end": 441.38, "word": " quality,", "probability": 0.67822265625}, {"start": 443.54, "end": 443.6, "word": " it", "probability": 0.6787109375}, {"start": 443.6, "end": 443.84, "word": " is", "probability": 0.9365234375}, {"start": 443.84, "end": 444.54, "word": " necessary", "probability": 0.95556640625}, {"start": 444.54, "end": 445.08, "word": " to", "probability": 0.974609375}, {"start": 445.08, "end": 445.34, "word": " know", "probability": 0.88525390625}, {"start": 445.34, "end": 445.72, "word": " how", "probability": 0.939453125}, {"start": 445.72, "end": 446.12, "word": " light", "probability": 0.884765625}, {"start": 446.12, "end": 446.38, "word": " from", "probability": 0.8525390625}, {"start": 446.38, "end": 446.72, "word": " a", "probability": 0.9609375}, {"start": 446.72, "end": 447.16, "word": " single", "probability": 0.9501953125}, {"start": 447.16, "end": 450.18, "word": " object", "probability": 0.88427734375}, {"start": 450.18, "end": 450.62, "word": " point", "probability": 0.97509765625}, {"start": 450.62, "end": 451.3, "word": " is", "probability": 0.71533203125}, {"start": 451.3, "end": 452.14, "word": " distributed", "probability": 0.90087890625}, {"start": 452.14, "end": 452.58, "word": " in", "probability": 0.9306640625}, {"start": 452.58, "end": 452.74, "word": " the", "probability": 0.91162109375}, {"start": 452.74, "end": 453.04, "word": " image,", "probability": 0.919921875}, {"start": 453.14, "end": 454.22, "word": " to", "probability": 0.281005859375}, {"start": 454.22, "end": 454.54, "word": " know", "probability": 0.8701171875}, {"start": 454.54, "end": 454.8, "word": " the", "probability": 0.76513671875}, {"start": 454.8, "end": 455.12, "word": " point", "probability": 0.947265625}, {"start": 455.12, "end": 455.58, "word": " spread", "probability": 0.888671875}, {"start": 455.58, "end": 456.1, "word": " function", "probability": 0.970703125}], "temperature": 1.0}, {"id": 23, "seek": 46255, "start": 456.47, "end": 462.55, "text": "In order to define Point Spread Function, hundreds of rays must be accurately traced", "tokens": [4575, 1668, 281, 6964, 12387, 30308, 11166, 882, 11, 6779, 295, 24417, 1633, 312, 20095, 38141], "avg_logprob": -0.3630514705882353, "compression_ratio": 1.05, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 456.47, "end": 456.83, "word": "In", "probability": 0.24951171875}, {"start": 456.83, "end": 456.91, "word": " order", "probability": 0.90869140625}, {"start": 456.91, "end": 457.15, "word": " to", "probability": 0.96484375}, {"start": 457.15, "end": 457.53, "word": " define", "probability": 0.4267578125}, {"start": 457.53, "end": 457.99, "word": " Point", "probability": 0.33984375}, {"start": 457.99, "end": 458.41, "word": " Spread", "probability": 0.9482421875}, {"start": 458.41, "end": 459.05, "word": " Function,", "probability": 0.85693359375}, {"start": 459.37, "end": 459.91, "word": " hundreds", "probability": 0.70654296875}, {"start": 459.91, "end": 460.37, "word": " of", "probability": 0.9638671875}, {"start": 460.37, "end": 460.65, "word": " rays", "probability": 0.87451171875}, {"start": 460.65, "end": 460.99, "word": " must", "probability": 0.833984375}, {"start": 460.99, "end": 461.31, "word": " be", "probability": 0.890625}, {"start": 461.31, "end": 462.07, "word": " accurately", "probability": 0.8955078125}, {"start": 462.07, "end": 462.55, "word": " traced", "probability": 0.94140625}], "temperature": 1.0}, {"id": 24, "seek": 49713, "start": 477.75, "end": 497.13, "text": "In Gauss's time, which is of course what we said about the first order optics, which means that its legacy basically goes back to the scientist Karl Gauss and the scientists of his time. We say, in Gauss's days, manufacturing techniques rather than optical system design limited the image quality.", "tokens": [4575, 10384, 2023, 311, 565, 11, 597, 307, 295, 1164, 437, 321, 848, 466, 264, 700, 1668, 42599, 11, 597, 1355, 300, 1080, 11711, 1936, 1709, 646, 281, 264, 12662, 20405, 10384, 2023, 293, 264, 7708, 295, 702, 565, 13, 492, 584, 11, 294, 10384, 2023, 311, 1708, 11, 11096, 7512, 2831, 813, 20674, 1185, 1715, 5567, 264, 3256, 3125, 13], "avg_logprob": -0.4725302467423101, "compression_ratio": 1.563157894736842, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 477.75, "end": 478.11, "word": "In", "probability": 0.70654296875}, {"start": 478.11, "end": 478.63, "word": " Gauss's", "probability": 0.8037109375}, {"start": 478.63, "end": 478.99, "word": " time,", "probability": 0.86767578125}, {"start": 479.27, "end": 479.33, "word": " which", "probability": 0.65869140625}, {"start": 479.33, "end": 479.51, "word": " is", "probability": 0.5498046875}, {"start": 479.51, "end": 479.79, "word": " of", "probability": 0.17236328125}, {"start": 479.79, "end": 479.85, "word": " course", "probability": 0.953125}, {"start": 479.85, "end": 479.95, "word": " what", "probability": 0.289794921875}, {"start": 479.95, "end": 480.07, "word": " we", "probability": 0.9140625}, {"start": 480.07, "end": 480.31, "word": " said", "probability": 0.61572265625}, {"start": 480.31, "end": 480.43, "word": " about", "probability": 0.259033203125}, {"start": 480.43, "end": 480.45, "word": " the", "probability": 0.352294921875}, {"start": 480.45, "end": 480.73, "word": " first", "probability": 0.798828125}, {"start": 480.73, "end": 481.01, "word": " order", "probability": 0.8115234375}, {"start": 481.01, "end": 481.97, "word": " optics,", "probability": 0.7138671875}, {"start": 482.17, "end": 482.31, "word": " which", "probability": 0.295166015625}, {"start": 482.31, "end": 482.31, "word": " means", "probability": 0.342041015625}, {"start": 482.31, "end": 482.45, "word": " that", "probability": 0.5498046875}, {"start": 482.45, "end": 482.75, "word": " its", "probability": 0.361572265625}, {"start": 482.75, "end": 482.75, "word": " legacy", "probability": 0.1634521484375}, {"start": 482.75, "end": 483.39, "word": " basically", "probability": 0.354248046875}, {"start": 483.39, "end": 483.69, "word": " goes", "probability": 0.489501953125}, {"start": 483.69, "end": 484.01, "word": " back", "probability": 0.81689453125}, {"start": 484.01, "end": 484.81, "word": " to", "probability": 0.96728515625}, {"start": 484.81, "end": 485.27, "word": " the", "probability": 0.75048828125}, {"start": 485.27, "end": 485.57, "word": " scientist", "probability": 0.50927734375}, {"start": 485.57, "end": 485.95, "word": " Karl", "probability": 0.425537109375}, {"start": 485.95, "end": 486.41, "word": " Gauss", "probability": 0.911376953125}, {"start": 486.41, "end": 486.77, "word": " and", "probability": 0.81298828125}, {"start": 486.77, "end": 486.93, "word": " the", "probability": 0.379638671875}, {"start": 486.93, "end": 487.25, "word": " scientists", "probability": 0.7041015625}, {"start": 487.25, "end": 487.45, "word": " of", "probability": 0.428466796875}, {"start": 487.45, "end": 487.77, "word": " his", "probability": 0.95361328125}, {"start": 487.77, "end": 488.07, "word": " time.", "probability": 0.72412109375}, {"start": 488.63, "end": 488.79, "word": " We", "probability": 0.52587890625}, {"start": 488.79, "end": 489.05, "word": " say,", "probability": 0.82275390625}, {"start": 489.23, "end": 489.67, "word": " in", "probability": 0.257080078125}, {"start": 489.67, "end": 490.13, "word": " Gauss's", "probability": 0.9357096354166666}, {"start": 490.13, "end": 490.49, "word": " days,", "probability": 0.53515625}, {"start": 491.75, "end": 492.15, "word": " manufacturing", "probability": 0.8642578125}, {"start": 492.15, "end": 493.31, "word": " techniques", "probability": 0.92236328125}, {"start": 493.31, "end": 493.73, "word": " rather", "probability": 0.84765625}, {"start": 493.73, "end": 494.11, "word": " than", "probability": 0.955078125}, {"start": 494.11, "end": 494.51, "word": " optical", "probability": 0.93603515625}, {"start": 494.51, "end": 495.07, "word": " system", "probability": 0.6826171875}, {"start": 495.07, "end": 495.55, "word": " design", "probability": 0.95458984375}, {"start": 495.55, "end": 496.17, "word": " limited", "probability": 0.921875}, {"start": 496.17, "end": 496.43, "word": " the", "probability": 0.771484375}, {"start": 496.43, "end": 496.63, "word": " image", "probability": 0.93115234375}, {"start": 496.63, "end": 497.13, "word": " quality.", "probability": 0.83251953125}], "temperature": 1.0}, {"id": 25, "seek": 51929, "start": 497.46, "end": 519.3, "text": "in that period of time, the manufacturing methods of optical systems used to give me or produce optical systems, lenses that do not give high quality in the picture, so therefore I do not concern myself with the quality of the picture and I am not able to get a high picture quality", "tokens": [259, 300, 2896, 295, 565, 11, 264, 11096, 7150, 295, 20674, 3652, 1143, 281, 976, 385, 420, 5258, 20674, 3652, 11, 18059, 300, 360, 406, 976, 1090, 3125, 294, 264, 3036, 11, 370, 4412, 286, 360, 406, 3136, 2059, 365, 264, 3125, 295, 264, 3036, 293, 286, 669, 406, 1075, 281, 483, 257, 1090, 3036, 3125], "avg_logprob": -0.6025219298245614, "compression_ratio": 1.7195121951219512, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 497.46, "end": 497.6, "word": "in", "probability": 0.49560546875}, {"start": 497.6, "end": 497.9, "word": " that", "probability": 0.59521484375}, {"start": 497.9, "end": 498.26, "word": " period", "probability": 0.272705078125}, {"start": 498.26, "end": 498.26, "word": " of", "probability": 0.52734375}, {"start": 498.26, "end": 498.48, "word": " time,", "probability": 0.88232421875}, {"start": 499.12, "end": 499.26, "word": " the", "probability": 0.51025390625}, {"start": 499.26, "end": 500.18, "word": " manufacturing", "probability": 0.1441650390625}, {"start": 500.18, "end": 500.34, "word": " methods", "probability": 0.43359375}, {"start": 500.34, "end": 501.6, "word": " of", "probability": 0.458251953125}, {"start": 501.6, "end": 502.06, "word": " optical", "probability": 0.7333984375}, {"start": 502.06, "end": 502.68, "word": " systems", "probability": 0.88623046875}, {"start": 502.68, "end": 503.12, "word": " used", "probability": 0.190185546875}, {"start": 503.12, "end": 503.48, "word": " to", "probability": 0.9755859375}, {"start": 503.48, "end": 503.7, "word": " give", "probability": 0.4619140625}, {"start": 503.7, "end": 503.98, "word": " me", "probability": 0.6494140625}, {"start": 503.98, "end": 504.0, "word": " or", "probability": 0.341796875}, {"start": 504.0, "end": 504.48, "word": " produce", "probability": 0.5576171875}, {"start": 504.48, "end": 505.02, "word": " optical", "probability": 0.828125}, {"start": 505.02, "end": 505.8, "word": " systems,", "probability": 0.900390625}, {"start": 505.86, "end": 506.24, "word": " lenses", "probability": 0.8857421875}, {"start": 506.24, "end": 507.04, "word": " that", "probability": 0.595703125}, {"start": 507.04, "end": 507.28, "word": " do", "probability": 0.2086181640625}, {"start": 507.28, "end": 507.4, "word": " not", "probability": 0.9453125}, {"start": 507.4, "end": 507.72, "word": " give", "probability": 0.44677734375}, {"start": 507.72, "end": 508.48, "word": " high", "probability": 0.59521484375}, {"start": 508.48, "end": 508.52, "word": " quality", "probability": 0.78515625}, {"start": 508.52, "end": 509.06, "word": " in", "probability": 0.393310546875}, {"start": 509.06, "end": 509.2, "word": " the", "probability": 0.59375}, {"start": 509.2, "end": 509.4, "word": " picture,", "probability": 0.37939453125}, {"start": 509.52, "end": 509.6, "word": " so", "probability": 0.5234375}, {"start": 509.6, "end": 509.94, "word": " therefore", "probability": 0.1951904296875}, {"start": 509.94, "end": 510.22, "word": " I", "probability": 0.9072265625}, {"start": 510.22, "end": 510.32, "word": " do", "probability": 0.411865234375}, {"start": 510.32, "end": 510.4, "word": " not", "probability": 0.94580078125}, {"start": 510.4, "end": 510.74, "word": " concern", "probability": 0.1505126953125}, {"start": 510.74, "end": 511.12, "word": " myself", "probability": 0.7958984375}, {"start": 511.12, "end": 511.28, "word": " with", "probability": 0.78369140625}, {"start": 511.28, "end": 511.38, "word": " the", "probability": 0.7880859375}, {"start": 511.38, "end": 511.6, "word": " quality", "probability": 0.77685546875}, {"start": 511.6, "end": 511.8, "word": " of", "probability": 0.96435546875}, {"start": 511.8, "end": 511.86, "word": " the", "probability": 0.8994140625}, {"start": 511.86, "end": 512.04, "word": " picture", "probability": 0.60693359375}, {"start": 512.04, "end": 512.2, "word": " and", "probability": 0.6494140625}, {"start": 512.2, "end": 512.38, "word": " I", "probability": 0.94677734375}, {"start": 512.38, "end": 512.48, "word": " am", "probability": 0.426025390625}, {"start": 512.48, "end": 512.56, "word": " not", "probability": 0.640625}, {"start": 512.56, "end": 512.88, "word": " able", "probability": 0.7451171875}, {"start": 512.88, "end": 514.12, "word": " to", "probability": 0.7314453125}, {"start": 514.12, "end": 516.06, "word": " get", "probability": 0.29443359375}, {"start": 516.06, "end": 518.06, "word": " a", "probability": 0.5576171875}, {"start": 518.06, "end": 518.08, "word": " high", "probability": 0.88232421875}, {"start": 518.08, "end": 519.02, "word": " picture", "probability": 0.2626953125}, {"start": 519.02, "end": 519.3, "word": " quality", "probability": 0.85546875}], "temperature": 1.0}, {"id": 26, "seek": 54605, "start": 519.58, "end": 546.06, "text": "This is also similar to our general life, I have 4 or 5 cars in my parking lot and they are all used and used cars and they all drive and they can go from Gaza city to Khan Younes city for example, so there is no difference if we want to drive the first car or the second or the third or the fourth, they are all used and used cars and they all serve the purpose and there is no distinction between them, so any car", "tokens": [5723, 307, 611, 2531, 281, 527, 2674, 993, 11, 286, 362, 1017, 420, 1025, 5163, 294, 452, 9893, 688, 293, 436, 366, 439, 1143, 293, 1143, 5163, 293, 436, 439, 3332, 293, 436, 393, 352, 490, 37800, 2307, 281, 18136, 509, 4081, 2307, 337, 1365, 11, 370, 456, 307, 572, 2649, 498, 321, 528, 281, 3332, 264, 700, 1032, 420, 264, 1150, 420, 264, 2636, 420, 264, 6409, 11, 436, 366, 439, 1143, 293, 1143, 5163, 293, 436, 439, 4596, 264, 4334, 293, 456, 307, 572, 16844, 1296, 552, 11, 370, 604, 1032], "avg_logprob": -0.5106382826541332, "compression_ratio": 1.8444444444444446, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 519.58, "end": 520.1, "word": "This", "probability": 0.494140625}, {"start": 520.1, "end": 520.38, "word": " is", "probability": 0.216064453125}, {"start": 520.38, "end": 520.84, "word": " also", "probability": 0.451416015625}, {"start": 520.84, "end": 521.14, "word": " similar", "probability": 0.654296875}, {"start": 521.14, "end": 521.34, "word": " to", "probability": 0.7333984375}, {"start": 521.34, "end": 521.86, "word": " our", "probability": 0.8544921875}, {"start": 521.86, "end": 522.16, "word": " general", "probability": 0.21240234375}, {"start": 522.16, "end": 522.18, "word": " life,", "probability": 0.66259765625}, {"start": 522.26, "end": 522.48, "word": " I", "probability": 0.89990234375}, {"start": 522.48, "end": 522.74, "word": " have", "probability": 0.90673828125}, {"start": 522.74, "end": 523.08, "word": " 4", "probability": 0.53173828125}, {"start": 523.08, "end": 523.22, "word": " or", "probability": 0.5771484375}, {"start": 523.22, "end": 523.44, "word": " 5", "probability": 0.9970703125}, {"start": 523.44, "end": 523.86, "word": " cars", "probability": 0.921875}, {"start": 523.86, "end": 524.24, "word": " in", "probability": 0.6669921875}, {"start": 524.24, "end": 525.2, "word": " my", "probability": 0.33642578125}, {"start": 525.2, "end": 525.44, "word": " parking", "probability": 0.250732421875}, {"start": 525.44, "end": 525.54, "word": " lot", "probability": 0.828125}, {"start": 525.54, "end": 526.22, "word": " and", "probability": 0.41845703125}, {"start": 526.22, "end": 526.52, "word": " they", "probability": 0.486572265625}, {"start": 526.52, "end": 527.12, "word": " are", "probability": 0.60205078125}, {"start": 527.12, "end": 527.12, "word": " all", "probability": 0.75927734375}, {"start": 527.12, "end": 527.8, "word": " used", "probability": 0.5419921875}, {"start": 527.8, "end": 528.16, "word": " and", "probability": 0.368896484375}, {"start": 528.16, "end": 528.54, "word": " used", "probability": 0.265625}, {"start": 528.54, "end": 528.66, "word": " cars", "probability": 0.7646484375}, {"start": 528.66, "end": 528.88, "word": " and", "probability": 0.654296875}, {"start": 528.88, "end": 529.22, "word": " they", "probability": 0.6953125}, {"start": 529.22, "end": 529.26, "word": " all", "probability": 0.87841796875}, {"start": 529.26, "end": 529.64, "word": " drive", "probability": 0.3642578125}, {"start": 529.64, "end": 530.36, "word": " and", "probability": 0.5927734375}, {"start": 530.36, "end": 530.44, "word": " they", "probability": 0.46240234375}, {"start": 530.44, "end": 530.7, "word": " can", "probability": 0.65625}, {"start": 530.7, "end": 531.06, "word": " go", "probability": 0.8193359375}, {"start": 531.06, "end": 531.26, "word": " from", "probability": 0.83837890625}, {"start": 531.26, "end": 531.94, "word": " Gaza", "probability": 0.68505859375}, {"start": 531.94, "end": 532.04, "word": " city", "probability": 0.390380859375}, {"start": 532.04, "end": 532.22, "word": " to", "probability": 0.96484375}, {"start": 532.22, "end": 533.52, "word": " Khan", "probability": 0.1790771484375}, {"start": 533.52, "end": 533.92, "word": " Younes", "probability": 0.56787109375}, {"start": 533.92, "end": 533.94, "word": " city", "probability": 0.70556640625}, {"start": 533.94, "end": 533.94, "word": " for", "probability": 0.33251953125}, {"start": 533.94, "end": 533.94, "word": " example,", "probability": 0.9228515625}, {"start": 534.38, "end": 534.76, "word": " so", "probability": 0.75830078125}, {"start": 534.76, "end": 534.92, "word": " there", "probability": 0.370361328125}, {"start": 534.92, "end": 535.16, "word": " is", "probability": 0.60498046875}, {"start": 535.16, "end": 535.2, "word": " no", "probability": 0.826171875}, {"start": 535.2, "end": 535.62, "word": " difference", "probability": 0.7744140625}, {"start": 535.62, "end": 535.86, "word": " if", "probability": 0.327880859375}, {"start": 535.86, "end": 536.12, "word": " we", "probability": 0.57763671875}, {"start": 536.12, "end": 536.36, "word": " want", "probability": 0.438720703125}, {"start": 536.36, "end": 536.36, "word": " to", "probability": 0.96484375}, {"start": 536.36, "end": 536.36, "word": " drive", "probability": 0.1961669921875}, {"start": 536.36, "end": 536.56, "word": " the", "probability": 0.7861328125}, {"start": 536.56, "end": 537.14, "word": " first", "probability": 0.86376953125}, {"start": 537.14, "end": 537.14, "word": " car", "probability": 0.5380859375}, {"start": 537.14, "end": 537.44, "word": " or", "probability": 0.60302734375}, {"start": 537.44, "end": 537.58, "word": " the", "probability": 0.81591796875}, {"start": 537.58, "end": 537.82, "word": " second", "probability": 0.88525390625}, {"start": 537.82, "end": 538.02, "word": " or", "probability": 0.78369140625}, {"start": 538.02, "end": 538.2, "word": " the", "probability": 0.7919921875}, {"start": 538.2, "end": 538.42, "word": " third", "probability": 0.92822265625}, {"start": 538.42, "end": 538.58, "word": " or", "probability": 0.873046875}, {"start": 538.58, "end": 538.72, "word": " the", "probability": 0.5224609375}, {"start": 538.72, "end": 538.76, "word": " fourth,", "probability": 0.94775390625}, {"start": 538.9, "end": 539.0, "word": " they", "probability": 0.471435546875}, {"start": 539.0, "end": 539.26, "word": " are", "probability": 0.79345703125}, {"start": 539.26, "end": 539.26, "word": " all", "probability": 0.88671875}, {"start": 539.26, "end": 540.04, "word": " used", "probability": 0.86962890625}, {"start": 540.04, "end": 540.3, "word": " and", "probability": 0.5732421875}, {"start": 540.3, "end": 540.66, "word": " used", "probability": 0.556640625}, {"start": 540.66, "end": 540.68, "word": " cars", "probability": 0.87646484375}, {"start": 540.68, "end": 540.98, "word": " and", "probability": 0.77392578125}, {"start": 540.98, "end": 541.24, "word": " they", "probability": 0.6787109375}, {"start": 541.24, "end": 541.26, "word": " all", "probability": 0.80859375}, {"start": 541.26, "end": 541.72, "word": " serve", "probability": 0.209228515625}, {"start": 541.72, "end": 542.4, "word": " the", "probability": 0.6708984375}, {"start": 542.4, "end": 542.64, "word": " purpose", "probability": 0.41357421875}, {"start": 542.64, "end": 542.86, "word": " and", "probability": 0.783203125}, {"start": 542.86, "end": 543.08, "word": " there", "probability": 0.88232421875}, {"start": 543.08, "end": 543.08, "word": " is", "probability": 0.78955078125}, {"start": 543.08, "end": 543.54, "word": " no", "probability": 0.82421875}, {"start": 543.54, "end": 544.2, "word": " distinction", "probability": 0.79345703125}, {"start": 544.2, "end": 544.64, "word": " between", "probability": 0.8623046875}, {"start": 544.64, "end": 544.78, "word": " them,", "probability": 0.91162109375}, {"start": 545.22, "end": 545.22, "word": " so", "probability": 0.7890625}, {"start": 545.22, "end": 545.62, "word": " any", "probability": 0.52294921875}, {"start": 545.62, "end": 546.06, "word": " car", "probability": 0.8837890625}], "temperature": 1.0}, {"id": 27, "seek": 57489, "start": 546.65, "end": 574.89, "text": "Bet .. bet .. bet .. bet .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi .. betafi", "tokens": [33, 302, 4386, 778, 4386, 778, 4386, 778, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72, 4386, 778, 2792, 72], "avg_logprob": -0.13451389312744141, "compression_ratio": 21.692307692307693, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 546.65, "end": 547.19, "word": "Bet", "probability": 0.3511199951171875}, {"start": 547.19, "end": 547.33, "word": " ..", "probability": 0.1998291015625}, {"start": 547.33, "end": 547.63, "word": " bet", "probability": 0.327880859375}, {"start": 547.63, "end": 547.89, "word": " ..", "probability": 0.9189453125}, {"start": 547.89, "end": 547.97, "word": " bet", "probability": 0.658203125}, {"start": 547.97, "end": 547.97, "word": " ..", "probability": 0.90576171875}, {"start": 547.97, "end": 548.17, "word": " bet", "probability": 0.437255859375}, {"start": 548.17, "end": 548.17, "word": " ..", "probability": 0.70703125}, {"start": 548.17, "end": 549.15, "word": " betafi", "probability": 0.3702392578125}, {"start": 549.15, "end": 549.25, "word": " ..", "probability": 0.62890625}, {"start": 549.25, "end": 550.15, "word": " betafi", "probability": 0.7391764322916666}, {"start": 550.15, "end": 550.15, "word": " ..", "probability": 0.37939453125}, {"start": 550.15, "end": 550.21, "word": " betafi", "probability": 0.7803548177083334}, {"start": 550.21, "end": 550.55, "word": " ..", "probability": 0.368896484375}, {"start": 550.55, "end": 555.63, "word": " betafi", "probability": 0.7869466145833334}, {"start": 555.63, "end": 555.65, "word": " ..", "probability": 0.51806640625}, {"start": 555.65, "end": 555.65, "word": " betafi", "probability": 0.80859375}, {"start": 555.65, "end": 555.65, "word": " ..", "probability": 0.7373046875}, {"start": 555.65, "end": 555.65, "word": " betafi", "probability": 0.83544921875}, {"start": 555.65, "end": 555.65, "word": " ..", "probability": 0.87744140625}, {"start": 555.65, "end": 555.65, "word": " betafi", "probability": 0.8601888020833334}, {"start": 555.65, "end": 555.65, "word": " ..", "probability": 0.935546875}, {"start": 555.65, "end": 555.65, "word": " betafi", "probability": 0.8767903645833334}, {"start": 555.65, "end": 555.73, "word": " ..", "probability": 0.958984375}, {"start": 555.73, "end": 555.73, "word": " betafi", "probability": 0.8904622395833334}, {"start": 555.73, "end": 556.19, "word": " ..", "probability": 0.970703125}, {"start": 556.19, "end": 556.19, "word": " betafi", "probability": 0.900390625}, {"start": 556.19, "end": 556.25, "word": " ..", "probability": 0.9765625}, {"start": 556.25, "end": 556.25, "word": " betafi", "probability": 0.90771484375}, {"start": 556.25, "end": 556.53, "word": " ..", "probability": 0.9794921875}, {"start": 556.53, "end": 557.65, "word": " betafi", "probability": 0.9129231770833334}, {"start": 557.65, "end": 557.73, "word": " ..", "probability": 0.9814453125}, {"start": 557.73, "end": 559.65, "word": " betafi", "probability": 0.9191080729166666}, {"start": 559.65, "end": 560.47, "word": " ..", "probability": 0.982421875}, {"start": 560.47, "end": 561.21, "word": " betafi", "probability": 0.9226888020833334}, {"start": 561.21, "end": 564.01, "word": " ..", "probability": 0.982421875}, {"start": 564.01, "end": 565.29, "word": " betafi", "probability": 0.9259440104166666}, {"start": 565.29, "end": 565.47, "word": " ..", "probability": 0.982421875}, {"start": 565.47, "end": 568.87, "word": " betafi", "probability": 0.9283854166666666}, {"start": 568.87, "end": 569.27, "word": " ..", "probability": 0.98193359375}, {"start": 569.27, "end": 569.55, "word": " betafi", "probability": 0.9318033854166666}, {"start": 569.55, "end": 570.17, "word": " ..", "probability": 0.9814453125}, {"start": 570.17, "end": 570.17, "word": " betafi", "probability": 0.9339192708333334}, {"start": 570.17, "end": 570.17, "word": " ..", "probability": 0.98095703125}, {"start": 570.17, "end": 570.17, "word": " betafi", "probability": 0.9357096354166666}, {"start": 570.17, "end": 570.53, "word": " ..", "probability": 0.98046875}, {"start": 570.53, "end": 570.77, "word": " betafi", "probability": 0.9375}, {"start": 570.77, "end": 570.77, "word": " ..", "probability": 0.97998046875}, {"start": 570.77, "end": 570.83, "word": " betafi", "probability": 0.9384765625}, {"start": 570.83, "end": 570.83, "word": " ..", "probability": 0.9794921875}, {"start": 570.83, "end": 570.95, "word": " betafi", "probability": 0.939453125}, {"start": 570.95, "end": 570.99, "word": " ..", "probability": 0.97802734375}, {"start": 570.99, "end": 570.99, "word": " betafi", "probability": 0.9404296875}, {"start": 570.99, "end": 570.99, "word": " ..", "probability": 0.9765625}, {"start": 570.99, "end": 570.99, "word": " betafi", "probability": 0.9412434895833334}, {"start": 570.99, "end": 571.07, "word": " ..", "probability": 0.97607421875}, {"start": 571.07, "end": 571.57, "word": " betafi", "probability": 0.9423828125}, {"start": 571.57, "end": 572.03, "word": " ..", "probability": 0.974609375}, {"start": 572.03, "end": 572.29, "word": " betafi", "probability": 0.9422200520833334}, {"start": 572.29, "end": 572.47, "word": " ..", "probability": 0.9736328125}, {"start": 572.47, "end": 572.81, "word": " betafi", "probability": 0.943359375}, {"start": 572.81, "end": 574.01, "word": " ..", "probability": 0.97265625}, {"start": 574.01, "end": 574.01, "word": " betafi", "probability": 0.94384765625}, {"start": 574.01, "end": 574.01, "word": " ..", "probability": 0.9716796875}, {"start": 574.01, "end": 574.01, "word": " betafi", "probability": 0.9443359375}, {"start": 574.01, "end": 574.15, "word": " ..", "probability": 0.97021484375}, {"start": 574.15, "end": 574.33, "word": " betafi", "probability": 0.94580078125}, {"start": 574.33, "end": 574.37, "word": " ..", "probability": 0.96923828125}, {"start": 574.37, "end": 574.37, "word": " betafi", "probability": 0.94677734375}, {"start": 574.37, "end": 574.37, "word": " ..", "probability": 0.9677734375}, {"start": 574.37, "end": 574.37, "word": " betafi", "probability": 0.94677734375}, {"start": 574.37, "end": 574.37, "word": " ..", "probability": 0.966796875}, {"start": 574.37, "end": 574.37, "word": " betafi", "probability": 0.94775390625}, {"start": 574.37, "end": 574.37, "word": " ..", "probability": 0.9658203125}, {"start": 574.37, "end": 574.37, "word": " betafi", "probability": 0.9480794270833334}, {"start": 574.37, "end": 574.37, "word": " ..", "probability": 0.96435546875}, {"start": 574.37, "end": 574.37, "word": " betafi", "probability": 0.94921875}, {"start": 574.37, "end": 574.37, "word": " ..", "probability": 0.96435546875}, {"start": 574.37, "end": 574.37, "word": " betafi", "probability": 0.9498697916666666}, {"start": 574.37, "end": 574.37, "word": " ..", "probability": 0.96337890625}, {"start": 574.37, "end": 574.37, "word": " betafi", "probability": 0.9498697916666666}, {"start": 574.37, "end": 574.37, "word": " ..", "probability": 0.96240234375}, {"start": 574.37, "end": 574.37, "word": " betafi", "probability": 0.9510091145833334}, {"start": 574.37, "end": 574.37, "word": " ..", "probability": 0.96142578125}, {"start": 574.37, "end": 574.37, "word": " betafi", "probability": 0.951171875}, {"start": 574.37, "end": 574.45, "word": " ..", "probability": 0.96044921875}, {"start": 574.45, "end": 574.45, "word": " betafi", "probability": 0.9523111979166666}, {"start": 574.45, "end": 574.45, "word": " ..", "probability": 0.9599609375}, {"start": 574.45, "end": 574.45, "word": " betafi", "probability": 0.9524739583333334}, {"start": 574.45, "end": 574.45, "word": " ..", "probability": 0.95947265625}, {"start": 574.45, "end": 574.45, "word": " betafi", "probability": 0.9529622395833334}, {"start": 574.45, "end": 574.45, "word": " ..", "probability": 0.95849609375}, {"start": 574.45, "end": 574.45, "word": " betafi", "probability": 0.953125}, {"start": 574.45, "end": 574.45, "word": " ..", "probability": 0.9580078125}, {"start": 574.45, "end": 574.45, "word": " betafi", "probability": 0.9537760416666666}, {"start": 574.45, "end": 574.45, "word": " ..", "probability": 0.958984375}, {"start": 574.45, "end": 574.45, "word": " betafi", "probability": 0.9537760416666666}, {"start": 574.45, "end": 574.45, "word": " ..", "probability": 0.9580078125}, {"start": 574.45, "end": 574.45, "word": " betafi", "probability": 0.95361328125}, {"start": 574.45, "end": 574.45, "word": " ..", "probability": 0.95751953125}, {"start": 574.45, "end": 574.45, "word": " betafi", "probability": 0.9542643229166666}, {"start": 574.45, "end": 574.45, "word": " ..", "probability": 0.95703125}, {"start": 574.45, "end": 574.45, "word": " betafi", "probability": 0.955078125}, {"start": 574.45, "end": 574.45, "word": " ..", "probability": 0.95703125}, {"start": 574.45, "end": 574.45, "word": " betafi", "probability": 0.955078125}, {"start": 574.45, "end": 574.45, "word": " ..", "probability": 0.9560546875}, {"start": 574.45, "end": 574.45, "word": " betafi", "probability": 0.95458984375}, {"start": 574.45, "end": 574.45, "word": " ..", "probability": 0.9560546875}, {"start": 574.45, "end": 574.45, "word": " betafi", "probability": 0.95361328125}, {"start": 574.45, "end": 574.55, "word": " ..", "probability": 0.95556640625}, {"start": 574.55, "end": 574.55, "word": " betafi", "probability": 0.9537760416666666}, {"start": 574.55, "end": 574.55, "word": " ..", "probability": 0.955078125}, {"start": 574.55, "end": 574.55, "word": " betafi", "probability": 0.9534505208333334}, {"start": 574.55, "end": 574.89, "word": " ..", "probability": 0.9521484375}, {"start": 574.89, "end": 574.89, "word": " betafi", "probability": 0.9500325520833334}], "temperature": 1.0}, {"id": 28, "seek": 59377, "start": 574.91, "end": 593.77, "text": "I'm not able to make high quality lenses, so why should I analyze the image quality and draw hundreds of rays from an object point and insert them into the optical system and then apply Snell's law on each ray of these rays? This is very tiring work.", "tokens": [40, 478, 406, 1075, 281, 652, 1090, 3125, 18059, 11, 370, 983, 820, 286, 12477, 264, 3256, 3125, 293, 2642, 6779, 295, 24417, 490, 364, 2657, 935, 293, 8969, 552, 666, 264, 20674, 1185, 293, 550, 3079, 318, 8903, 311, 2101, 322, 1184, 18592, 295, 613, 24417, 30, 639, 307, 588, 35182, 589, 13], "avg_logprob": -0.6403409242630005, "compression_ratio": 1.4124293785310735, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 574.91, "end": 575.03, "word": "I'm", "probability": 0.33966064453125}, {"start": 575.03, "end": 575.09, "word": " not", "probability": 0.607421875}, {"start": 575.09, "end": 575.39, "word": " able", "probability": 0.84521484375}, {"start": 575.39, "end": 575.55, "word": " to", "probability": 0.96337890625}, {"start": 575.55, "end": 575.85, "word": " make", "probability": 0.62744140625}, {"start": 575.85, "end": 576.67, "word": " high", "probability": 0.53271484375}, {"start": 576.67, "end": 578.67, "word": " quality", "probability": 0.515625}, {"start": 578.67, "end": 578.67, "word": " lenses,", "probability": 0.63720703125}, {"start": 578.85, "end": 579.31, "word": " so", "probability": 0.438232421875}, {"start": 579.31, "end": 580.49, "word": " why", "probability": 0.75537109375}, {"start": 580.49, "end": 580.81, "word": " should", "probability": 0.65380859375}, {"start": 580.81, "end": 581.53, "word": " I", "probability": 0.93701171875}, {"start": 581.53, "end": 582.75, "word": " analyze", "probability": 0.1822509765625}, {"start": 582.75, "end": 583.37, "word": " the", "probability": 0.322021484375}, {"start": 583.37, "end": 584.05, "word": " image", "probability": 0.406982421875}, {"start": 584.05, "end": 584.67, "word": " quality", "probability": 0.7578125}, {"start": 584.67, "end": 584.79, "word": " and", "probability": 0.400390625}, {"start": 584.79, "end": 585.07, "word": " draw", "probability": 0.77001953125}, {"start": 585.07, "end": 585.47, "word": " hundreds", "probability": 0.76953125}, {"start": 585.47, "end": 585.69, "word": " of", "probability": 0.9677734375}, {"start": 585.69, "end": 585.99, "word": " rays", "probability": 0.5654296875}, {"start": 585.99, "end": 586.25, "word": " from", "probability": 0.7548828125}, {"start": 586.25, "end": 586.63, "word": " an", "probability": 0.2210693359375}, {"start": 586.63, "end": 586.63, "word": " object", "probability": 0.91455078125}, {"start": 586.63, "end": 587.15, "word": " point", "probability": 0.9091796875}, {"start": 587.15, "end": 587.29, "word": " and", "probability": 0.70751953125}, {"start": 587.29, "end": 587.61, "word": " insert", "probability": 0.159912109375}, {"start": 587.61, "end": 587.83, "word": " them", "probability": 0.39501953125}, {"start": 587.83, "end": 587.95, "word": " into", "probability": 0.51416015625}, {"start": 587.95, "end": 588.03, "word": " the", "probability": 0.75244140625}, {"start": 588.03, "end": 588.37, "word": " optical", "probability": 0.947265625}, {"start": 588.37, "end": 588.91, "word": " system", "probability": 0.9365234375}, {"start": 588.91, "end": 589.59, "word": " and", "probability": 0.4599609375}, {"start": 589.59, "end": 589.59, "word": " then", "probability": 0.422607421875}, {"start": 589.59, "end": 590.71, "word": " apply", "probability": 0.65087890625}, {"start": 590.71, "end": 591.31, "word": " Snell's", "probability": 0.6920979817708334}, {"start": 591.31, "end": 591.45, "word": " law", "probability": 0.6611328125}, {"start": 591.45, "end": 591.65, "word": " on", "probability": 0.5556640625}, {"start": 591.65, "end": 591.95, "word": " each", "probability": 0.46728515625}, {"start": 591.95, "end": 592.19, "word": " ray", "probability": 0.400146484375}, {"start": 592.19, "end": 592.37, "word": " of", "probability": 0.4921875}, {"start": 592.37, "end": 592.57, "word": " these", "probability": 0.662109375}, {"start": 592.57, "end": 592.81, "word": " rays?", "probability": 0.60791015625}, {"start": 592.89, "end": 592.97, "word": " This", "probability": 0.5595703125}, {"start": 592.97, "end": 593.25, "word": " is", "probability": 0.83056640625}, {"start": 593.25, "end": 593.35, "word": " very", "probability": 0.290771484375}, {"start": 593.35, "end": 593.73, "word": " tiring", "probability": 0.12054443359375}, {"start": 593.73, "end": 593.77, "word": " work.", "probability": 0.7275390625}], "temperature": 1.0}, {"id": 29, "seek": 61826, "start": 594.78, "end": 618.26, "text": "interestingly instead in analyzing other image features such as magnification and location and scientists said let's stop with the rest of the image features like location, which is the distance between the image and the optical system and magnification, which is the transfer of magnification, which is the method of calculation, which is the method of calculation", "tokens": [5106, 8714, 356, 2602, 294, 23663, 661, 3256, 4122, 1270, 382, 4944, 3774, 293, 4914, 293, 7708, 848, 718, 311, 1590, 365, 264, 1472, 295, 264, 3256, 4122, 411, 4914, 11, 597, 307, 264, 4560, 1296, 264, 3256, 293, 264, 20674, 1185, 293, 4944, 3774, 11, 597, 307, 264, 5003, 295, 4944, 3774, 11, 597, 307, 264, 3170, 295, 17108, 11, 597, 307, 264, 3170, 295, 17108], "avg_logprob": -0.5730698555707932, "compression_ratio": 2.1470588235294117, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 594.78, "end": 595.54, "word": "interestingly", "probability": 0.58740234375}, {"start": 595.54, "end": 596.18, "word": " instead", "probability": 0.666015625}, {"start": 596.18, "end": 596.8, "word": " in", "probability": 0.822265625}, {"start": 596.8, "end": 597.48, "word": " analyzing", "probability": 0.83203125}, {"start": 597.48, "end": 597.98, "word": " other", "probability": 0.87109375}, {"start": 597.98, "end": 598.38, "word": " image", "probability": 0.94287109375}, {"start": 598.38, "end": 598.88, "word": " features", "probability": 0.72900390625}, {"start": 598.88, "end": 599.2, "word": " such", "probability": 0.87744140625}, {"start": 599.2, "end": 599.48, "word": " as", "probability": 0.97021484375}, {"start": 599.48, "end": 600.36, "word": " magnification", "probability": 0.92578125}, {"start": 600.36, "end": 600.94, "word": " and", "probability": 0.458251953125}, {"start": 600.94, "end": 601.92, "word": " location", "probability": 0.93505859375}, {"start": 601.92, "end": 602.56, "word": " and", "probability": 0.255859375}, {"start": 602.56, "end": 602.96, "word": " scientists", "probability": 0.3291015625}, {"start": 602.96, "end": 602.96, "word": " said", "probability": 0.66748046875}, {"start": 602.96, "end": 603.62, "word": " let's", "probability": 0.6572265625}, {"start": 603.62, "end": 604.0, "word": " stop", "probability": 0.05926513671875}, {"start": 604.0, "end": 604.28, "word": " with", "probability": 0.30712890625}, {"start": 604.28, "end": 605.2, "word": " the", "probability": 0.59619140625}, {"start": 605.2, "end": 605.4, "word": " rest", "probability": 0.52001953125}, {"start": 605.4, "end": 605.56, "word": " of", "probability": 0.943359375}, {"start": 605.56, "end": 605.6, "word": " the", "probability": 0.55029296875}, {"start": 605.6, "end": 606.22, "word": " image", "probability": 0.59814453125}, {"start": 606.22, "end": 606.22, "word": " features", "probability": 0.371337890625}, {"start": 606.22, "end": 606.56, "word": " like", "probability": 0.11749267578125}, {"start": 606.56, "end": 607.16, "word": " location,", "probability": 0.72216796875}, {"start": 607.38, "end": 607.38, "word": " which", "probability": 0.297607421875}, {"start": 607.38, "end": 607.48, "word": " is", "probability": 0.498779296875}, {"start": 607.48, "end": 607.6, "word": " the", "probability": 0.480712890625}, {"start": 607.6, "end": 607.72, "word": " distance", "probability": 0.6162109375}, {"start": 607.72, "end": 608.04, "word": " between", "probability": 0.49853515625}, {"start": 608.04, "end": 608.42, "word": " the", "probability": 0.7138671875}, {"start": 608.42, "end": 608.74, "word": " image", "probability": 0.66650390625}, {"start": 608.74, "end": 609.68, "word": " and", "probability": 0.68017578125}, {"start": 609.68, "end": 609.8, "word": " the", "probability": 0.78271484375}, {"start": 609.8, "end": 610.12, "word": " optical", "probability": 0.953125}, {"start": 610.12, "end": 610.74, "word": " system", "probability": 0.939453125}, {"start": 610.74, "end": 611.24, "word": " and", "probability": 0.79150390625}, {"start": 611.24, "end": 612.3, "word": " magnification,", "probability": 0.9521484375}, {"start": 612.76, "end": 612.8, "word": " which", "probability": 0.86279296875}, {"start": 612.8, "end": 612.84, "word": " is", "probability": 0.56591796875}, {"start": 612.84, "end": 612.96, "word": " the", "probability": 0.492431640625}, {"start": 612.96, "end": 613.32, "word": " transfer", "probability": 0.75244140625}, {"start": 613.32, "end": 613.56, "word": " of", "probability": 0.51708984375}, {"start": 613.56, "end": 614.3, "word": " magnification,", "probability": 0.755126953125}, {"start": 614.54, "end": 614.56, "word": " which", "probability": 0.701171875}, {"start": 614.56, "end": 614.64, "word": " is", "probability": 0.6044921875}, {"start": 614.64, "end": 614.9, "word": " the", "probability": 0.333984375}, {"start": 614.9, "end": 615.34, "word": " method", "probability": 0.278564453125}, {"start": 615.34, "end": 615.92, "word": " of", "probability": 0.90625}, {"start": 615.92, "end": 616.48, "word": " calculation,", "probability": 0.70947265625}, {"start": 616.68, "end": 616.82, "word": " which", "probability": 0.197998046875}, {"start": 616.82, "end": 616.82, "word": " is", "probability": 0.8232421875}, {"start": 616.82, "end": 616.86, "word": " the", "probability": 0.61181640625}, {"start": 616.86, "end": 617.22, "word": " method", "probability": 0.8466796875}, {"start": 617.22, "end": 617.74, "word": " of", "probability": 0.93994140625}, {"start": 617.74, "end": 618.26, "word": " calculation", "probability": 0.77001953125}], "temperature": 1.0}, {"id": 30, "seek": 64042, "start": 620.93, "end": 640.43, "text": "على كيف يعني بجيت صفات ال image بدون يعني مع تحييض ال image equality مع تحييض ال image equality اذا to determine all image characteristics except image equality requires tracing only a few rays", "tokens": [3615, 23942, 9122, 33911, 37495, 22653, 4724, 7435, 36081, 20328, 5172, 9307, 2423, 3256, 47525, 11536, 37495, 22653, 20449, 6055, 5016, 1829, 1829, 11242, 2423, 3256, 14949, 20449, 6055, 5016, 1829, 1829, 11242, 2423, 3256, 14949, 1975, 15730, 281, 6997, 439, 3256, 10891, 3993, 3256, 14949, 7029, 25262, 787, 257, 1326, 24417], "avg_logprob": -0.13892983490566038, "compression_ratio": 1.5714285714285714, "no_speech_prob": 0.0, "words": [{"start": 620.93, "end": 621.47, "word": "على", "probability": 0.9345703125}, {"start": 621.47, "end": 622.13, "word": " كيف", "probability": 0.984130859375}, {"start": 622.13, "end": 622.57, "word": " يعني", "probability": 0.841064453125}, {"start": 622.57, "end": 623.69, "word": " بجيت", "probability": 0.6907552083333334}, {"start": 623.69, "end": 624.09, "word": " صفات", "probability": 0.9864908854166666}, {"start": 624.09, "end": 624.25, "word": " ال", "probability": 0.97607421875}, {"start": 624.25, "end": 624.55, "word": " image", "probability": 0.494140625}, {"start": 624.55, "end": 625.31, "word": " بدون", "probability": 0.96923828125}, {"start": 625.31, "end": 625.89, "word": " يعني", "probability": 0.818359375}, {"start": 625.89, "end": 626.21, "word": " مع", "probability": 0.93505859375}, {"start": 626.21, "end": 627.07, "word": " تحييض", "probability": 0.83544921875}, {"start": 627.07, "end": 627.31, "word": " ال", "probability": 0.98779296875}, {"start": 627.31, "end": 627.67, "word": " image", "probability": 0.94921875}, {"start": 627.67, "end": 628.41, "word": " equality", "probability": 0.931640625}, {"start": 628.41, "end": 628.63, "word": " مع", "probability": 0.74951171875}, {"start": 628.63, "end": 629.17, "word": " تحييض", "probability": 0.96796875}, {"start": 629.17, "end": 629.33, "word": " ال", "probability": 0.9931640625}, {"start": 629.33, "end": 629.65, "word": " image", "probability": 0.96533203125}, {"start": 629.65, "end": 630.33, "word": " equality", "probability": 0.94189453125}, {"start": 630.33, "end": 632.35, "word": " اذا", "probability": 0.5997314453125}, {"start": 632.35, "end": 633.19, "word": " to", "probability": 0.82763671875}, {"start": 633.19, "end": 633.63, "word": " determine", "probability": 0.94677734375}, {"start": 633.63, "end": 634.11, "word": " all", "probability": 0.95458984375}, {"start": 634.11, "end": 634.51, "word": " image", "probability": 0.921875}, {"start": 634.51, "end": 635.57, "word": " characteristics", "probability": 0.9111328125}, {"start": 635.57, "end": 636.31, "word": " except", "probability": 0.94189453125}, {"start": 636.31, "end": 636.77, "word": " image", "probability": 0.94482421875}, {"start": 636.77, "end": 637.35, "word": " equality", "probability": 0.72021484375}, {"start": 637.35, "end": 638.39, "word": " requires", "probability": 0.8359375}, {"start": 638.39, "end": 639.09, "word": " tracing", "probability": 0.96044921875}, {"start": 639.09, "end": 639.57, "word": " only", "probability": 0.92724609375}, {"start": 639.57, "end": 639.81, "word": " a", "probability": 0.98681640625}, {"start": 639.81, "end": 640.09, "word": " few", "probability": 0.92431640625}, {"start": 640.09, "end": 640.43, "word": " rays", "probability": 0.90576171875}], "temperature": 1.0}, {"id": 31, "seek": 65020, "start": 641.08, "end": 650.2, "text": "If image quality is ignored, analysis of optical systems is reduced from tracing hundreds of rays to tracing just two rays", "tokens": [8031, 3256, 3125, 307, 19735, 11, 5215, 295, 20674, 3652, 307, 9212, 490, 25262, 6779, 295, 24417, 281, 25262, 445, 732, 24417], "avg_logprob": -0.2073709239130435, "compression_ratio": 1.2708333333333333, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 641.08, "end": 641.38, "word": "If", "probability": 0.432373046875}, {"start": 641.38, "end": 641.84, "word": " image", "probability": 0.8935546875}, {"start": 641.84, "end": 642.34, "word": " quality", "probability": 0.85498046875}, {"start": 642.34, "end": 642.6, "word": " is", "probability": 0.962890625}, {"start": 642.6, "end": 643.06, "word": " ignored,", "probability": 0.826171875}, {"start": 643.26, "end": 643.7, "word": " analysis", "probability": 0.83251953125}, {"start": 643.7, "end": 644.04, "word": " of", "probability": 0.97119140625}, {"start": 644.04, "end": 644.54, "word": " optical", "probability": 0.9345703125}, {"start": 644.54, "end": 645.18, "word": " systems", "probability": 0.8896484375}, {"start": 645.18, "end": 645.76, "word": " is", "probability": 0.94287109375}, {"start": 645.76, "end": 646.28, "word": " reduced", "probability": 0.94384765625}, {"start": 646.28, "end": 646.62, "word": " from", "probability": 0.89404296875}, {"start": 646.62, "end": 647.12, "word": " tracing", "probability": 0.96826171875}, {"start": 647.12, "end": 647.72, "word": " hundreds", "probability": 0.84033203125}, {"start": 647.72, "end": 648.02, "word": " of", "probability": 0.9697265625}, {"start": 648.02, "end": 648.3, "word": " rays", "probability": 0.9267578125}, {"start": 648.3, "end": 648.46, "word": " to", "probability": 0.94677734375}, {"start": 648.46, "end": 648.9, "word": " tracing", "probability": 0.95166015625}, {"start": 648.9, "end": 649.3, "word": " just", "probability": 0.8828125}, {"start": 649.3, "end": 649.64, "word": " two", "probability": 0.72216796875}, {"start": 649.64, "end": 650.2, "word": " rays", "probability": 0.92724609375}], "temperature": 1.0}, {"id": 32, "seek": 66226, "start": 653.84, "end": 662.26, "text": "In order to clarify the idea, when I want to define that we want to study image quality, it means that we have to define the point spread function", "tokens": [4575, 1668, 281, 17594, 264, 1558, 11, 562, 286, 528, 281, 6964, 300, 321, 528, 281, 2979, 3256, 3125, 11, 309, 1355, 300, 321, 362, 281, 6964, 264, 935, 3974, 2445], "avg_logprob": -0.6259765718132257, "compression_ratio": 1.4038461538461537, "no_speech_prob": 0.91796875, "words": [{"start": 653.84, "end": 654.28, "word": "In", "probability": 0.058135986328125}, {"start": 654.28, "end": 654.28, "word": " order", "probability": 0.8017578125}, {"start": 654.28, "end": 654.42, "word": " to", "probability": 0.9580078125}, {"start": 654.42, "end": 654.78, "word": " clarify", "probability": 0.30029296875}, {"start": 654.78, "end": 654.94, "word": " the", "probability": 0.42333984375}, {"start": 654.94, "end": 655.2, "word": " idea,", "probability": 0.460693359375}, {"start": 655.74, "end": 655.9, "word": " when", "probability": 0.440185546875}, {"start": 655.9, "end": 656.2, "word": " I", "probability": 0.78564453125}, {"start": 656.2, "end": 656.5, "word": " want", "probability": 0.50341796875}, {"start": 656.5, "end": 656.82, "word": " to", "probability": 0.94775390625}, {"start": 656.82, "end": 657.08, "word": " define", "probability": 0.218505859375}, {"start": 657.08, "end": 657.32, "word": " that", "probability": 0.66552734375}, {"start": 657.32, "end": 657.62, "word": " we", "probability": 0.495361328125}, {"start": 657.62, "end": 657.9, "word": " want", "probability": 0.430908203125}, {"start": 657.9, "end": 658.66, "word": " to", "probability": 0.900390625}, {"start": 658.66, "end": 658.88, "word": " study", "probability": 0.82470703125}, {"start": 658.88, "end": 659.22, "word": " image", "probability": 0.7177734375}, {"start": 659.22, "end": 659.66, "word": " quality,", "probability": 0.865234375}, {"start": 659.7, "end": 659.82, "word": " it", "probability": 0.3935546875}, {"start": 659.82, "end": 659.92, "word": " means", "probability": 0.88232421875}, {"start": 659.92, "end": 660.12, "word": " that", "probability": 0.58984375}, {"start": 660.12, "end": 660.22, "word": " we", "probability": 0.865234375}, {"start": 660.22, "end": 660.32, "word": " have", "probability": 0.3662109375}, {"start": 660.32, "end": 660.5, "word": " to", "probability": 0.96240234375}, {"start": 660.5, "end": 660.78, "word": " define", "probability": 0.5068359375}, {"start": 660.78, "end": 661.04, "word": " the", "probability": 0.6083984375}, {"start": 661.04, "end": 661.28, "word": " point", "probability": 0.8359375}, {"start": 661.28, "end": 661.66, "word": " spread", "probability": 0.87158203125}, {"start": 661.66, "end": 662.26, "word": " function", "probability": 0.97314453125}], "temperature": 1.0}, {"id": 33, "seek": 71176, "start": 683.92, "end": 711.76, "text": "Two rays, two rays, and the point of meeting the two rays after leaving the optical system, after breaking them and leaving the optical system, this point is considered the area of ​​the image, the distance from the meeting of the two rays to the optical system is considered the image distance or image location, and greater than the image distance, I get the magnification, because the magnification equals the image distance over the object distance", "tokens": [33594, 24417, 11, 732, 24417, 11, 293, 264, 935, 295, 3440, 264, 732, 24417, 934, 5012, 264, 20674, 1185, 11, 934, 7697, 552, 293, 5012, 264, 20674, 1185, 11, 341, 935, 307, 4888, 264, 1859, 295, 8701, 3322, 3256, 11, 264, 4560, 490, 264, 3440, 295, 264, 732, 24417, 281, 264, 20674, 1185, 307, 4888, 264, 3256, 4560, 420, 3256, 4914, 11, 293, 5044, 813, 264, 3256, 4560, 11, 286, 483, 264, 4944, 3774, 11, 570, 264, 4944, 3774, 6915, 264, 3256, 4560, 670, 264, 2657, 4560], "avg_logprob": -0.4332386306063695, "compression_ratio": 2.28, "no_speech_prob": 6.622076034545898e-05, "words": [{"start": 683.92, "end": 684.52, "word": "Two", "probability": 0.14501953125}, {"start": 684.52, "end": 684.94, "word": " rays,", "probability": 0.76708984375}, {"start": 685.24, "end": 685.44, "word": " two", "probability": 0.8203125}, {"start": 685.44, "end": 685.9, "word": " rays,", "probability": 0.92041015625}, {"start": 687.02, "end": 687.34, "word": " and", "probability": 0.64892578125}, {"start": 687.34, "end": 687.54, "word": " the", "probability": 0.65966796875}, {"start": 687.54, "end": 687.74, "word": " point", "probability": 0.62548828125}, {"start": 687.74, "end": 687.94, "word": " of", "probability": 0.638671875}, {"start": 687.94, "end": 688.26, "word": " meeting", "probability": 0.195068359375}, {"start": 688.26, "end": 688.56, "word": " the", "probability": 0.29443359375}, {"start": 688.56, "end": 688.8, "word": " two", "probability": 0.91455078125}, {"start": 688.8, "end": 689.12, "word": " rays", "probability": 0.912109375}, {"start": 689.12, "end": 689.58, "word": " after", "probability": 0.7412109375}, {"start": 689.58, "end": 690.36, "word": " leaving", "probability": 0.1585693359375}, {"start": 690.36, "end": 690.76, "word": " the", "probability": 0.64892578125}, {"start": 690.76, "end": 691.14, "word": " optical", "probability": 0.9501953125}, {"start": 691.14, "end": 691.64, "word": " system,", "probability": 0.93359375}, {"start": 691.68, "end": 691.92, "word": " after", "probability": 0.7431640625}, {"start": 691.92, "end": 692.28, "word": " breaking", "probability": 0.3046875}, {"start": 692.28, "end": 692.56, "word": " them", "probability": 0.4326171875}, {"start": 692.56, "end": 692.7, "word": " and", "probability": 0.75048828125}, {"start": 692.7, "end": 692.94, "word": " leaving", "probability": 0.7744140625}, {"start": 692.94, "end": 693.22, "word": " the", "probability": 0.8837890625}, {"start": 693.22, "end": 693.6, "word": " optical", "probability": 0.970703125}, {"start": 693.6, "end": 694.12, "word": " system,", "probability": 0.9462890625}, {"start": 694.44, "end": 694.86, "word": " this", "probability": 0.787109375}, {"start": 694.86, "end": 695.28, "word": " point", "probability": 0.96630859375}, {"start": 695.28, "end": 695.64, "word": " is", "probability": 0.91162109375}, {"start": 695.64, "end": 696.06, "word": " considered", "probability": 0.68603515625}, {"start": 696.06, "end": 696.18, "word": " the", "probability": 0.59521484375}, {"start": 696.18, "end": 696.46, "word": " area", "probability": 0.240478515625}, {"start": 696.46, "end": 696.74, "word": " of", "probability": 0.9560546875}, {"start": 696.74, "end": 696.78, "word": " ​​the", "probability": 0.65478515625}, {"start": 696.78, "end": 697.08, "word": " image,", "probability": 0.90380859375}, {"start": 697.44, "end": 697.58, "word": " the", "probability": 0.640625}, {"start": 697.58, "end": 697.96, "word": " distance", "probability": 0.95068359375}, {"start": 697.96, "end": 698.2, "word": " from", "probability": 0.70751953125}, {"start": 698.2, "end": 698.7, "word": " the", "probability": 0.8037109375}, {"start": 698.7, "end": 698.7, "word": " meeting", "probability": 0.05804443359375}, {"start": 698.7, "end": 698.9, "word": " of", "probability": 0.826171875}, {"start": 698.9, "end": 698.9, "word": " the", "probability": 0.72412109375}, {"start": 698.9, "end": 699.0, "word": " two", "probability": 0.77197265625}, {"start": 699.0, "end": 699.26, "word": " rays", "probability": 0.87109375}, {"start": 699.26, "end": 699.78, "word": " to", "probability": 0.85009765625}, {"start": 699.78, "end": 700.48, "word": " the", "probability": 0.9208984375}, {"start": 700.48, "end": 700.84, "word": " optical", "probability": 0.970703125}, {"start": 700.84, "end": 701.28, "word": " system", "probability": 0.94384765625}, {"start": 701.28, "end": 701.42, "word": " is", "probability": 0.84423828125}, {"start": 701.42, "end": 701.84, "word": " considered", "probability": 0.71044921875}, {"start": 701.84, "end": 702.32, "word": " the", "probability": 0.783203125}, {"start": 702.32, "end": 702.68, "word": " image", "probability": 0.91796875}, {"start": 702.68, "end": 703.24, "word": " distance", "probability": 0.9365234375}, {"start": 703.24, "end": 703.48, "word": " or", "probability": 0.7568359375}, {"start": 703.48, "end": 703.74, "word": " image", "probability": 0.5673828125}, {"start": 703.74, "end": 704.3, "word": " location,", "probability": 0.92138671875}, {"start": 704.44, "end": 704.48, "word": " and", "probability": 0.814453125}, {"start": 704.48, "end": 704.72, "word": " greater", "probability": 0.27099609375}, {"start": 704.72, "end": 705.0, "word": " than", "probability": 0.94384765625}, {"start": 705.0, "end": 705.3, "word": " the", "probability": 0.6787109375}, {"start": 705.3, "end": 705.58, "word": " image", "probability": 0.9091796875}, {"start": 705.58, "end": 706.14, "word": " distance,", "probability": 0.93408203125}, {"start": 706.68, "end": 706.92, "word": " I", "probability": 0.89111328125}, {"start": 706.92, "end": 707.16, "word": " get", "probability": 0.41552734375}, {"start": 707.16, "end": 707.34, "word": " the", "probability": 0.68310546875}, {"start": 707.34, "end": 708.12, "word": " magnification,", "probability": 0.955078125}, {"start": 708.28, "end": 708.44, "word": " because", "probability": 0.888671875}, {"start": 708.44, "end": 708.62, "word": " the", "probability": 0.6630859375}, {"start": 708.62, "end": 709.22, "word": " magnification", "probability": 0.974365234375}, {"start": 709.22, "end": 709.62, "word": " equals", "probability": 0.63134765625}, {"start": 709.62, "end": 709.82, "word": " the", "probability": 0.7666015625}, {"start": 709.82, "end": 710.1, "word": " image", "probability": 0.9130859375}, {"start": 710.1, "end": 710.62, "word": " distance", "probability": 0.953125}, {"start": 710.62, "end": 710.82, "word": " over", "probability": 0.64697265625}, {"start": 710.82, "end": 710.96, "word": " the", "probability": 0.90478515625}, {"start": 710.96, "end": 711.24, "word": " object", "probability": 0.9521484375}, {"start": 711.24, "end": 711.76, "word": " distance", "probability": 0.93115234375}], "temperature": 1.0}, {"id": 34, "seek": 73404, "start": 712.16, "end": 734.04, "text": "So, neglecting image quality, or putting it aside, reduced my tracking of rays from having to track hundreds of rays to determine the limits of the point spread function, to only tracking two rays accurately. Okay, someone might say now the case is solved and everything is very simple.", "tokens": [6455, 11, 17745, 278, 3256, 3125, 11, 420, 3372, 309, 7359, 11, 9212, 452, 11603, 295, 24417, 490, 1419, 281, 2837, 6779, 295, 24417, 281, 6997, 264, 10406, 295, 264, 935, 3974, 2445, 11, 281, 787, 11603, 732, 24417, 20095, 13, 1033, 11, 1580, 1062, 584, 586, 264, 1389, 307, 13041, 293, 1203, 307, 588, 2199, 13], "avg_logprob": -0.6109913916423403, "compression_ratio": 1.5543478260869565, "no_speech_prob": 1.1920928955078125e-06, "words": [{"start": 712.16, "end": 712.54, "word": "So,", "probability": 0.3671875}, {"start": 712.64, "end": 713.8, "word": " neglecting", "probability": 0.51885986328125}, {"start": 713.8, "end": 714.16, "word": " image", "probability": 0.473388671875}, {"start": 714.16, "end": 714.86, "word": " quality,", "probability": 0.85498046875}, {"start": 715.26, "end": 715.5, "word": " or", "probability": 0.60546875}, {"start": 715.5, "end": 716.0, "word": " putting", "probability": 0.287109375}, {"start": 716.0, "end": 716.88, "word": " it", "probability": 0.81298828125}, {"start": 716.88, "end": 717.28, "word": " aside,", "probability": 0.9150390625}, {"start": 717.86, "end": 718.38, "word": " reduced", "probability": 0.1859130859375}, {"start": 718.38, "end": 718.72, "word": " my", "probability": 0.362548828125}, {"start": 718.72, "end": 719.16, "word": " tracking", "probability": 0.490234375}, {"start": 719.16, "end": 719.46, "word": " of", "probability": 0.6767578125}, {"start": 719.46, "end": 719.7, "word": " rays", "probability": 0.35009765625}, {"start": 719.7, "end": 720.02, "word": " from", "probability": 0.66845703125}, {"start": 720.02, "end": 720.34, "word": " having", "probability": 0.56494140625}, {"start": 720.34, "end": 721.0, "word": " to", "probability": 0.892578125}, {"start": 721.0, "end": 721.4, "word": " track", "probability": 0.62939453125}, {"start": 721.4, "end": 721.8, "word": " hundreds", "probability": 0.89404296875}, {"start": 721.8, "end": 721.96, "word": " of", "probability": 0.96875}, {"start": 721.96, "end": 722.42, "word": " rays", "probability": 0.85693359375}, {"start": 722.42, "end": 722.64, "word": " to", "probability": 0.89990234375}, {"start": 722.64, "end": 723.08, "word": " determine", "probability": 0.296630859375}, {"start": 723.08, "end": 723.24, "word": " the", "probability": 0.7822265625}, {"start": 723.24, "end": 723.5, "word": " limits", "probability": 0.59326171875}, {"start": 723.5, "end": 723.72, "word": " of", "probability": 0.947265625}, {"start": 723.72, "end": 723.78, "word": " the", "probability": 0.409423828125}, {"start": 723.78, "end": 724.04, "word": " point", "probability": 0.71044921875}, {"start": 724.04, "end": 724.46, "word": " spread", "probability": 0.923828125}, {"start": 724.46, "end": 725.04, "word": " function,", "probability": 0.9765625}, {"start": 725.7, "end": 726.04, "word": " to", "probability": 0.91650390625}, {"start": 726.04, "end": 726.66, "word": " only", "probability": 0.464111328125}, {"start": 726.66, "end": 727.54, "word": " tracking", "probability": 0.3212890625}, {"start": 727.54, "end": 728.14, "word": " two", "probability": 0.578125}, {"start": 728.14, "end": 728.46, "word": " rays", "probability": 0.8330078125}, {"start": 728.46, "end": 729.44, "word": " accurately.", "probability": 0.697265625}, {"start": 730.2, "end": 730.38, "word": " Okay,", "probability": 0.2386474609375}, {"start": 730.52, "end": 730.76, "word": " someone", "probability": 0.2259521484375}, {"start": 730.76, "end": 730.76, "word": " might", "probability": 0.41748046875}, {"start": 730.76, "end": 731.2, "word": " say", "probability": 0.88427734375}, {"start": 731.2, "end": 731.54, "word": " now", "probability": 0.304443359375}, {"start": 731.54, "end": 731.72, "word": " the", "probability": 0.48388671875}, {"start": 731.72, "end": 732.0, "word": " case", "probability": 0.371337890625}, {"start": 732.0, "end": 732.14, "word": " is", "probability": 0.8720703125}, {"start": 732.14, "end": 732.48, "word": " solved", "probability": 0.3974609375}, {"start": 732.48, "end": 732.7, "word": " and", "probability": 0.70068359375}, {"start": 732.7, "end": 733.16, "word": " everything", "probability": 0.4169921875}, {"start": 733.16, "end": 733.54, "word": " is", "probability": 0.4814453125}, {"start": 733.54, "end": 733.64, "word": " very", "probability": 0.5791015625}, {"start": 733.64, "end": 734.04, "word": " simple.", "probability": 0.9423828125}], "temperature": 1.0}, {"id": 35, "seek": 75022, "start": 735.34, "end": 750.22, "text": "We say that in Carl Gauss era, when the optical system was made up of many lenses, just by tracking two rays, it was also considered a masterpiece. And we will talk about why it was a masterpiece when we talk about ..", "tokens": [4360, 584, 300, 294, 14256, 10384, 2023, 4249, 11, 562, 264, 20674, 1185, 390, 1027, 493, 295, 867, 18059, 11, 445, 538, 11603, 732, 24417, 11, 309, 390, 611, 4888, 257, 32208, 13, 400, 321, 486, 751, 466, 983, 309, 390, 257, 32208, 562, 321, 751, 466, 4386], "avg_logprob": -0.7576530612244898, "compression_ratio": 1.4662162162162162, "no_speech_prob": 3.337860107421875e-06, "words": [{"start": 735.34, "end": 735.54, "word": "We", "probability": 0.367919921875}, {"start": 735.54, "end": 735.92, "word": " say", "probability": 0.7314453125}, {"start": 735.92, "end": 736.44, "word": " that", "probability": 0.3369140625}, {"start": 736.44, "end": 736.5, "word": " in", "probability": 0.47998046875}, {"start": 736.5, "end": 737.28, "word": " Carl", "probability": 0.43603515625}, {"start": 737.28, "end": 737.82, "word": " Gauss", "probability": 0.808349609375}, {"start": 737.82, "end": 737.88, "word": " era,", "probability": 0.302978515625}, {"start": 738.28, "end": 738.46, "word": " when", "probability": 0.71533203125}, {"start": 738.46, "end": 738.64, "word": " the", "probability": 0.486328125}, {"start": 738.64, "end": 739.04, "word": " optical", "probability": 0.951171875}, {"start": 739.04, "end": 739.64, "word": " system", "probability": 0.9169921875}, {"start": 739.64, "end": 739.94, "word": " was", "probability": 0.272705078125}, {"start": 739.94, "end": 740.24, "word": " made", "probability": 0.4365234375}, {"start": 740.24, "end": 740.46, "word": " up", "probability": 0.367919921875}, {"start": 740.46, "end": 740.6, "word": " of", "probability": 0.87890625}, {"start": 740.6, "end": 740.9, "word": " many", "probability": 0.24609375}, {"start": 740.9, "end": 741.54, "word": " lenses,", "probability": 0.888671875}, {"start": 741.98, "end": 742.84, "word": " just", "probability": 0.215087890625}, {"start": 742.84, "end": 743.34, "word": " by", "probability": 0.174560546875}, {"start": 743.34, "end": 743.78, "word": " tracking", "probability": 0.56298828125}, {"start": 743.78, "end": 743.94, "word": " two", "probability": 0.7431640625}, {"start": 743.94, "end": 744.26, "word": " rays,", "probability": 0.60888671875}, {"start": 744.74, "end": 745.14, "word": " it", "probability": 0.355712890625}, {"start": 745.14, "end": 745.44, "word": " was", "probability": 0.436279296875}, {"start": 745.44, "end": 745.44, "word": " also", "probability": 0.484130859375}, {"start": 745.44, "end": 745.9, "word": " considered", "probability": 0.57568359375}, {"start": 745.9, "end": 746.4, "word": " a", "probability": 0.430908203125}, {"start": 746.4, "end": 746.4, "word": " masterpiece.", "probability": 0.06427001953125}, {"start": 747.04, "end": 747.68, "word": " And", "probability": 0.49169921875}, {"start": 747.68, "end": 747.86, "word": " we", "probability": 0.7802734375}, {"start": 747.86, "end": 747.86, "word": " will", "probability": 0.6220703125}, {"start": 747.86, "end": 748.04, "word": " talk", "probability": 0.1749267578125}, {"start": 748.04, "end": 748.46, "word": " about", "probability": 0.79052734375}, {"start": 748.46, "end": 748.62, "word": " why", "probability": 0.51513671875}, {"start": 748.62, "end": 748.68, "word": " it", "probability": 0.7138671875}, {"start": 748.68, "end": 748.72, "word": " was", "probability": 0.497802734375}, {"start": 748.72, "end": 748.74, "word": " a", "probability": 0.6904296875}, {"start": 748.74, "end": 749.2, "word": " masterpiece", "probability": 0.82080078125}, {"start": 749.2, "end": 749.66, "word": " when", "probability": 0.56201171875}, {"start": 749.66, "end": 749.86, "word": " we", "probability": 0.8837890625}, {"start": 749.86, "end": 750.06, "word": " talk", "probability": 0.09222412109375}, {"start": 750.06, "end": 750.22, "word": " about", "probability": 0.8837890625}, {"start": 750.22, "end": 750.22, "word": " ..", "probability": 0.326171875}], "temperature": 1.0}, {"id": 36, "seek": 77641, "start": 751.49, "end": 776.41, "text": "To this point, we will explain why just tracking two rays is tiring especially if the optical system is made up of many lenses. Aside from that, when we neglected image quality, the huge number of rays that I was supposed to track accurately and do exact ray tracing,", "tokens": [13342, 341, 935, 11, 321, 486, 2903, 983, 445, 11603, 732, 24417, 307, 35182, 2318, 498, 264, 20674, 1185, 307, 1027, 493, 295, 867, 18059, 13, 33726, 490, 300, 11, 562, 321, 32701, 3256, 3125, 11, 264, 2603, 1230, 295, 24417, 300, 286, 390, 3442, 281, 2837, 20095, 293, 360, 1900, 18592, 25262, 11], "avg_logprob": -0.5869318030097268, "compression_ratio": 1.459016393442623, "no_speech_prob": 5.245208740234375e-06, "words": [{"start": 751.49, "end": 751.69, "word": "To", "probability": 0.0789794921875}, {"start": 751.69, "end": 751.99, "word": " this", "probability": 0.77880859375}, {"start": 751.99, "end": 752.37, "word": " point,", "probability": 0.91259765625}, {"start": 752.71, "end": 752.93, "word": " we", "probability": 0.677734375}, {"start": 752.93, "end": 752.99, "word": " will", "probability": 0.68408203125}, {"start": 752.99, "end": 753.33, "word": " explain", "probability": 0.4404296875}, {"start": 753.33, "end": 753.99, "word": " why", "probability": 0.64990234375}, {"start": 753.99, "end": 754.67, "word": " just", "probability": 0.267333984375}, {"start": 754.67, "end": 755.31, "word": " tracking", "probability": 0.264404296875}, {"start": 755.31, "end": 755.91, "word": " two", "probability": 0.701171875}, {"start": 755.91, "end": 755.91, "word": " rays", "probability": 0.81689453125}, {"start": 755.91, "end": 757.21, "word": " is", "probability": 0.39404296875}, {"start": 757.21, "end": 757.57, "word": " tiring", "probability": 0.1087646484375}, {"start": 757.57, "end": 758.39, "word": " especially", "probability": 0.170166015625}, {"start": 758.39, "end": 759.25, "word": " if", "probability": 0.7763671875}, {"start": 759.25, "end": 759.65, "word": " the", "probability": 0.79052734375}, {"start": 759.65, "end": 760.05, "word": " optical", "probability": 0.95166015625}, {"start": 760.05, "end": 760.69, "word": " system", "probability": 0.923828125}, {"start": 760.69, "end": 761.19, "word": " is", "probability": 0.5859375}, {"start": 761.19, "end": 761.53, "word": " made", "probability": 0.51220703125}, {"start": 761.53, "end": 761.75, "word": " up", "probability": 0.548828125}, {"start": 761.75, "end": 761.85, "word": " of", "probability": 0.9501953125}, {"start": 761.85, "end": 762.41, "word": " many", "probability": 0.3203125}, {"start": 762.41, "end": 763.19, "word": " lenses.", "probability": 0.890625}, {"start": 763.67, "end": 764.07, "word": " Aside", "probability": 0.230224609375}, {"start": 764.07, "end": 764.29, "word": " from", "probability": 0.890625}, {"start": 764.29, "end": 764.75, "word": " that,", "probability": 0.763671875}, {"start": 765.35, "end": 765.51, "word": " when", "probability": 0.79833984375}, {"start": 765.51, "end": 765.61, "word": " we", "probability": 0.85302734375}, {"start": 765.61, "end": 765.95, "word": " neglected", "probability": 0.29296875}, {"start": 765.95, "end": 766.41, "word": " image", "probability": 0.62060546875}, {"start": 766.41, "end": 768.81, "word": " quality,", "probability": 0.86181640625}, {"start": 769.35, "end": 769.63, "word": " the", "probability": 0.447998046875}, {"start": 769.63, "end": 770.39, "word": " huge", "probability": 0.484619140625}, {"start": 770.39, "end": 770.39, "word": " number", "probability": 0.68701171875}, {"start": 770.39, "end": 770.69, "word": " of", "probability": 0.9677734375}, {"start": 770.69, "end": 771.03, "word": " rays", "probability": 0.7470703125}, {"start": 771.03, "end": 771.23, "word": " that", "probability": 0.73046875}, {"start": 771.23, "end": 771.43, "word": " I", "probability": 0.44970703125}, {"start": 771.43, "end": 771.43, "word": " was", "probability": 0.705078125}, {"start": 771.43, "end": 771.83, "word": " supposed", "probability": 0.9248046875}, {"start": 771.83, "end": 772.95, "word": " to", "probability": 0.97119140625}, {"start": 772.95, "end": 773.49, "word": " track", "probability": 0.66845703125}, {"start": 773.49, "end": 774.43, "word": " accurately", "probability": 0.62841796875}, {"start": 774.43, "end": 774.75, "word": " and", "probability": 0.6767578125}, {"start": 774.75, "end": 775.09, "word": " do", "probability": 0.2015380859375}, {"start": 775.09, "end": 775.67, "word": " exact", "probability": 0.87158203125}, {"start": 775.67, "end": 775.93, "word": " ray", "probability": 0.759765625}, {"start": 775.93, "end": 776.41, "word": " tracing,", "probability": 0.83935546875}], "temperature": 1.0}, {"id": 37, "seek": 80376, "start": 776.96, "end": 803.76, "text": "In order to determine the limits of point spread function of one point of the object When we reduced it to two pixels by neglecting the image quality The situation became much easier But there are still some difficulties And these difficulties scientists said that we must overcome them in order to simplify or understand the science of geometric optics So the first point in the first order optics", "tokens": [4575, 1668, 281, 6997, 264, 10406, 295, 935, 3974, 2445, 295, 472, 935, 295, 264, 2657, 1133, 321, 9212, 309, 281, 732, 18668, 538, 17745, 278, 264, 3256, 3125, 440, 2590, 3062, 709, 3571, 583, 456, 366, 920, 512, 14399, 400, 613, 14399, 7708, 848, 300, 321, 1633, 10473, 552, 294, 1668, 281, 20460, 420, 1223, 264, 3497, 295, 33246, 42599, 407, 264, 700, 935, 294, 264, 700, 1668, 42599], "avg_logprob": -0.466989429903702, "compression_ratio": 1.7081545064377683, "no_speech_prob": 2.2649765014648438e-06, "words": [{"start": 776.96, "end": 777.4, "word": "In", "probability": 0.15966796875}, {"start": 777.4, "end": 777.4, "word": " order", "probability": 0.8994140625}, {"start": 777.4, "end": 777.52, "word": " to", "probability": 0.95703125}, {"start": 777.52, "end": 777.92, "word": " determine", "probability": 0.281494140625}, {"start": 777.92, "end": 778.14, "word": " the", "probability": 0.76025390625}, {"start": 778.14, "end": 778.38, "word": " limits", "probability": 0.50634765625}, {"start": 778.38, "end": 778.66, "word": " of", "probability": 0.94921875}, {"start": 778.66, "end": 778.94, "word": " point", "probability": 0.57861328125}, {"start": 778.94, "end": 779.32, "word": " spread", "probability": 0.9013671875}, {"start": 779.32, "end": 779.84, "word": " function", "probability": 0.94287109375}, {"start": 779.84, "end": 780.1, "word": " of", "probability": 0.67236328125}, {"start": 780.1, "end": 780.3, "word": " one", "probability": 0.5625}, {"start": 780.3, "end": 780.58, "word": " point", "probability": 0.88427734375}, {"start": 780.58, "end": 781.08, "word": " of", "probability": 0.41015625}, {"start": 781.08, "end": 781.24, "word": " the", "probability": 0.6669921875}, {"start": 781.24, "end": 781.66, "word": " object", "probability": 0.93310546875}, {"start": 781.66, "end": 782.34, "word": " When", "probability": 0.4296875}, {"start": 782.34, "end": 782.46, "word": " we", "probability": 0.85693359375}, {"start": 782.46, "end": 782.82, "word": " reduced", "probability": 0.1832275390625}, {"start": 782.82, "end": 783.14, "word": " it", "probability": 0.82373046875}, {"start": 783.14, "end": 783.24, "word": " to", "probability": 0.41064453125}, {"start": 783.24, "end": 783.34, "word": " two", "probability": 0.328125}, {"start": 783.34, "end": 783.66, "word": " pixels", "probability": 0.09271240234375}, {"start": 783.66, "end": 784.06, "word": " by", "probability": 0.5205078125}, {"start": 784.06, "end": 784.48, "word": " neglecting", "probability": 0.803955078125}, {"start": 784.48, "end": 784.56, "word": " the", "probability": 0.40380859375}, {"start": 784.56, "end": 784.78, "word": " image", "probability": 0.8779296875}, {"start": 784.78, "end": 785.3, "word": " quality", "probability": 0.8740234375}, {"start": 785.3, "end": 785.94, "word": " The", "probability": 0.64208984375}, {"start": 785.94, "end": 786.2, "word": " situation", "probability": 0.9013671875}, {"start": 786.2, "end": 786.7, "word": " became", "probability": 0.60205078125}, {"start": 786.7, "end": 786.88, "word": " much", "probability": 0.72607421875}, {"start": 786.88, "end": 787.56, "word": " easier", "probability": 0.93701171875}, {"start": 787.56, "end": 788.4, "word": " But", "probability": 0.478759765625}, {"start": 788.4, "end": 788.56, "word": " there", "probability": 0.64111328125}, {"start": 788.56, "end": 789.18, "word": " are", "probability": 0.650390625}, {"start": 789.18, "end": 789.18, "word": " still", "probability": 0.9443359375}, {"start": 789.18, "end": 789.5, "word": " some", "probability": 0.8330078125}, {"start": 789.5, "end": 790.02, "word": " difficulties", "probability": 0.84375}, {"start": 790.02, "end": 790.56, "word": " And", "probability": 0.67822265625}, {"start": 790.56, "end": 790.82, "word": " these", "probability": 0.51904296875}, {"start": 790.82, "end": 791.3, "word": " difficulties", "probability": 0.81982421875}, {"start": 791.3, "end": 791.74, "word": " scientists", "probability": 0.273193359375}, {"start": 791.74, "end": 792.66, "word": " said", "probability": 0.77294921875}, {"start": 792.66, "end": 792.8, "word": " that", "probability": 0.2802734375}, {"start": 792.8, "end": 793.0, "word": " we", "probability": 0.90869140625}, {"start": 793.0, "end": 793.3, "word": " must", "probability": 0.45751953125}, {"start": 793.3, "end": 793.76, "word": " overcome", "probability": 0.84521484375}, {"start": 793.76, "end": 794.14, "word": " them", "probability": 0.65087890625}, {"start": 794.14, "end": 794.34, "word": " in", "probability": 0.34912109375}, {"start": 794.34, "end": 794.46, "word": " order", "probability": 0.90576171875}, {"start": 794.46, "end": 794.6, "word": " to", "probability": 0.96875}, {"start": 794.6, "end": 794.96, "word": " simplify", "probability": 0.83349609375}, {"start": 794.96, "end": 796.66, "word": " or", "probability": 0.174560546875}, {"start": 796.66, "end": 797.64, "word": " understand", "probability": 0.587890625}, {"start": 797.64, "end": 798.68, "word": " the", "probability": 0.57861328125}, {"start": 798.68, "end": 799.28, "word": " science", "probability": 0.771484375}, {"start": 799.28, "end": 799.58, "word": " of", "probability": 0.970703125}, {"start": 799.58, "end": 800.2, "word": " geometric", "probability": 0.6259765625}, {"start": 800.2, "end": 800.72, "word": " optics", "probability": 0.978515625}, {"start": 800.72, "end": 800.96, "word": " So", "probability": 0.7763671875}, {"start": 800.96, "end": 801.22, "word": " the", "probability": 0.67138671875}, {"start": 801.22, "end": 801.4, "word": " first", "probability": 0.87890625}, {"start": 801.4, "end": 801.78, "word": " point", "probability": 0.94580078125}, {"start": 801.78, "end": 802.38, "word": " in", "probability": 0.85302734375}, {"start": 802.38, "end": 802.5, "word": " the", "probability": 0.476806640625}, {"start": 802.5, "end": 802.82, "word": " first", "probability": 0.84130859375}, {"start": 802.82, "end": 803.26, "word": " order", "probability": 0.8017578125}, {"start": 803.26, "end": 803.76, "word": " optics", "probability": 0.9228515625}], "temperature": 1.0}, {"id": 38, "seek": 81321, "start": 805.17, "end": 813.21, "text": "Ignore image equality In Gauss's time", "tokens": [40, 4568, 418, 3256, 14949, 682, 10384, 2023, 311, 565], "avg_logprob": -0.4215198755264282, "compression_ratio": 0.8222222222222222, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 805.17, "end": 806.25, "word": "Ignore", "probability": 0.7057291666666666}, {"start": 806.25, "end": 806.89, "word": " image", "probability": 0.88916015625}, {"start": 806.89, "end": 808.91, "word": " equality", "probability": 0.90478515625}, {"start": 808.91, "end": 810.29, "word": " In", "probability": 0.12939453125}, {"start": 810.29, "end": 812.89, "word": " Gauss's", "probability": 0.8326822916666666}, {"start": 812.89, "end": 813.21, "word": " time", "probability": 0.8798828125}], "temperature": 1.0}, {"id": 39, "seek": 82955, "start": 813.91, "end": 829.55, "text": "In Gauss's time, exactly tracing even two rays was daunting task especially if the optical system consisted of several lenses", "tokens": [4575, 10384, 2023, 311, 565, 11, 2293, 25262, 754, 732, 24417, 390, 37657, 5633, 2318, 498, 264, 20674, 1185, 38227, 295, 2940, 18059], "avg_logprob": -0.2853190129001935, "compression_ratio": 1.2019230769230769, "no_speech_prob": 0.712890625, "words": [{"start": 813.91, "end": 814.19, "word": "In", "probability": 0.68115234375}, {"start": 814.19, "end": 814.67, "word": " Gauss's", "probability": 0.7620442708333334}, {"start": 814.67, "end": 814.95, "word": " time,", "probability": 0.89697265625}, {"start": 815.13, "end": 815.75, "word": " exactly", "probability": 0.89892578125}, {"start": 815.75, "end": 816.51, "word": " tracing", "probability": 0.966796875}, {"start": 816.51, "end": 817.01, "word": " even", "probability": 0.87353515625}, {"start": 817.01, "end": 817.37, "word": " two", "probability": 0.8916015625}, {"start": 817.37, "end": 817.75, "word": " rays", "probability": 0.94580078125}, {"start": 817.75, "end": 818.55, "word": " was", "probability": 0.9140625}, {"start": 818.55, "end": 819.13, "word": " daunting", "probability": 0.662109375}, {"start": 819.13, "end": 820.75, "word": " task", "probability": 0.91015625}, {"start": 820.75, "end": 825.31, "word": " especially", "probability": 0.059112548828125}, {"start": 825.31, "end": 825.93, "word": " if", "probability": 0.95703125}, {"start": 825.93, "end": 826.13, "word": " the", "probability": 0.89794921875}, {"start": 826.13, "end": 826.53, "word": " optical", "probability": 0.9453125}, {"start": 826.53, "end": 827.11, "word": " system", "probability": 0.92431640625}, {"start": 827.11, "end": 827.91, "word": " consisted", "probability": 0.890625}, {"start": 827.91, "end": 828.25, "word": " of", "probability": 0.9697265625}, {"start": 828.25, "end": 828.75, "word": " several", "probability": 0.9111328125}, {"start": 828.75, "end": 829.55, "word": " lenses", "probability": 0.89208984375}], "temperature": 1.0}, {"id": 40, "seek": 86616, "start": 844.0, "end": 866.16, "text": "ومرتين ع السطح الخلفي يعني أربع مرات لو عندي عدسة تانية بده تضافلها كمان أربع عدسة تالتة كمان أربع طبعا ممكن سانيقول ما أطبق ال snails law هذا شغلة بسيطة لأ مش بسيطة السطوح المنحنية السطوح المنحنية عشان أعرف زاوية السقوط عليها لازم أرسم ال coordinate system اللي هو الإحداثيات", "tokens": [2407, 29973, 2655, 9957, 6225, 21136, 9566, 5016, 33962, 1211, 41185, 37495, 22653, 5551, 25513, 3615, 3714, 2288, 9307, 45164, 18871, 16254, 6225, 3215, 3794, 3660, 6055, 7649, 10632, 47525, 3224, 6055, 11242, 31845, 1211, 11296, 9122, 2304, 7649, 5551, 25513, 3615, 6225, 3215, 3794, 3660, 6055, 6027, 2655, 3660, 9122, 2304, 7649, 5551, 25513, 3615, 23032, 3555, 3615, 995, 3714, 43020, 8608, 7649, 1829, 39648, 19446, 5551, 9566, 3555, 4587, 2423, 14528, 4174, 2101, 23758, 13412, 17082, 37977, 4724, 3794, 1829, 9566, 3660, 5296, 10721, 37893, 4724, 3794, 1829, 9566, 3660, 21136, 9566, 2407, 5016, 9673, 1863, 5016, 1863, 10632, 21136, 9566, 2407, 5016, 9673, 1863, 5016, 1863, 10632, 6225, 8592, 7649, 5551, 3615, 28480, 30767, 995, 2407, 10632, 21136, 4587, 2407, 9566, 25894, 11296, 5296, 31377, 2304, 5551, 2288, 38251, 2423, 15670, 1185, 13672, 1829, 31439, 33688, 24401, 5718, 104, 1829, 9307], "avg_logprob": -0.18146552052991144, "compression_ratio": 1.8527131782945736, "no_speech_prob": 3.874301910400391e-06, "words": [{"start": 844.0, "end": 844.82, "word": "ومرتين", "probability": 0.7066726684570312}, {"start": 844.82, "end": 844.9, "word": " ع", "probability": 0.56884765625}, {"start": 844.9, "end": 845.28, "word": " السطح", "probability": 0.796630859375}, {"start": 845.28, "end": 845.8, "word": " الخلفي", "probability": 0.7781575520833334}, {"start": 845.8, "end": 846.02, "word": " يعني", "probability": 0.692626953125}, {"start": 846.02, "end": 846.44, "word": " أربع", "probability": 0.8719075520833334}, {"start": 846.44, "end": 846.98, "word": " مرات", "probability": 0.9659830729166666}, {"start": 846.98, "end": 847.5, "word": " لو", "probability": 0.63623046875}, {"start": 847.5, "end": 847.78, "word": " عندي", "probability": 0.782958984375}, {"start": 847.78, "end": 848.2, "word": " عدسة", "probability": 0.949462890625}, {"start": 848.2, "end": 848.62, "word": " تانية", "probability": 0.9773763020833334}, {"start": 848.62, "end": 849.02, "word": " بده", "probability": 0.3824462890625}, {"start": 849.02, "end": 849.52, "word": " تضافلها", "probability": 0.812744140625}, {"start": 849.52, "end": 849.82, "word": " كمان", "probability": 0.9200846354166666}, {"start": 849.82, "end": 850.26, "word": " أربع", "probability": 0.8522135416666666}, {"start": 850.26, "end": 850.74, "word": " عدسة", "probability": 0.9674072265625}, {"start": 850.74, "end": 851.08, "word": " تالتة", "probability": 0.9632568359375}, {"start": 851.08, "end": 851.34, "word": " كمان", "probability": 0.9860026041666666}, {"start": 851.34, "end": 851.82, "word": " أربع", "probability": 0.9093424479166666}, {"start": 851.82, "end": 852.54, "word": " طبعا", "probability": 0.9652099609375}, {"start": 852.54, "end": 852.76, "word": " ممكن", "probability": 0.987548828125}, {"start": 852.76, "end": 853.18, "word": " سانيقول", "probability": 0.514434814453125}, {"start": 853.18, "end": 853.34, "word": " ما", "probability": 0.404296875}, {"start": 853.34, "end": 853.86, "word": " أطبق", "probability": 0.9056396484375}, {"start": 853.86, "end": 854.02, "word": " ال", "probability": 0.93505859375}, {"start": 854.02, "end": 854.5, "word": " snails", "probability": 0.54693603515625}, {"start": 854.5, "end": 854.66, "word": " law", "probability": 0.78857421875}, {"start": 854.66, "end": 854.86, "word": " هذا", "probability": 0.40087890625}, {"start": 854.86, "end": 855.2, "word": " شغلة", "probability": 0.7442220052083334}, {"start": 855.2, "end": 855.62, "word": " بسيطة", "probability": 0.97626953125}, {"start": 855.62, "end": 855.78, "word": " لأ", "probability": 0.897216796875}, {"start": 855.78, "end": 855.96, "word": " مش", "probability": 0.986328125}, {"start": 855.96, "end": 856.6, "word": " بسيطة", "probability": 0.993359375}, {"start": 856.6, "end": 857.58, "word": " السطوح", "probability": 0.91748046875}, {"start": 857.58, "end": 858.4, "word": " المنحنية", "probability": 0.93828125}, {"start": 858.4, "end": 859.34, "word": " السطوح", "probability": 0.8916015625}, {"start": 859.34, "end": 860.04, "word": " المنحنية", "probability": 0.98193359375}, {"start": 860.04, "end": 860.76, "word": " عشان", "probability": 0.9930013020833334}, {"start": 860.76, "end": 861.1, "word": " أعرف", "probability": 0.9694010416666666}, {"start": 861.1, "end": 861.54, "word": " زاوية", "probability": 0.966796875}, {"start": 861.54, "end": 862.14, "word": " السقوط", "probability": 0.9583740234375}, {"start": 862.14, "end": 862.56, "word": " عليها", "probability": 0.9931640625}, {"start": 862.56, "end": 863.06, "word": " لازم", "probability": 0.9923502604166666}, {"start": 863.06, "end": 863.54, "word": " أرسم", "probability": 0.9348958333333334}, {"start": 863.54, "end": 863.68, "word": " ال", "probability": 0.9365234375}, {"start": 863.68, "end": 864.12, "word": " coordinate", "probability": 0.91162109375}, {"start": 864.12, "end": 865.0, "word": " system", "probability": 0.966796875}, {"start": 865.0, "end": 865.18, "word": " اللي", "probability": 0.956787109375}, {"start": 865.18, "end": 865.26, "word": " هو", "probability": 0.9384765625}, {"start": 865.26, "end": 866.16, "word": " الإحداثيات", "probability": 0.9022623697916666}], "temperature": 1.0}, {"id": 41, "seek": 89107, "start": 866.61, "end": 891.07, "text": "Or the three dimensions which are X, Y and Z at the point where the beam hits the surface of this refracting surface or lens Therefore, this process is not easy even if we shorten it to just two beams Scientists moved to the second point of simplification and facilitation in this science Or the second part", "tokens": [21520, 264, 1045, 12819, 597, 366, 1783, 11, 398, 293, 1176, 412, 264, 935, 689, 264, 14269, 8664, 264, 3753, 295, 341, 45353, 278, 3753, 420, 6765, 7504, 11, 341, 1399, 307, 406, 1858, 754, 498, 321, 39632, 309, 281, 445, 732, 31040, 32958, 4259, 281, 264, 1150, 935, 295, 6883, 3774, 293, 10217, 4614, 294, 341, 3497, 1610, 264, 1150, 644], "avg_logprob": -0.43874009355666144, "compression_ratio": 1.6243386243386244, "no_speech_prob": 1.9073486328125e-06, "words": [{"start": 866.61, "end": 867.11, "word": "Or", "probability": 0.442626953125}, {"start": 867.11, "end": 867.21, "word": " the", "probability": 0.67724609375}, {"start": 867.21, "end": 867.93, "word": " three", "probability": 0.67919921875}, {"start": 867.93, "end": 867.93, "word": " dimensions", "probability": 0.857421875}, {"start": 867.93, "end": 868.31, "word": " which", "probability": 0.3974609375}, {"start": 868.31, "end": 868.77, "word": " are", "probability": 0.66455078125}, {"start": 868.77, "end": 869.37, "word": " X,", "probability": 0.53125}, {"start": 869.55, "end": 869.91, "word": " Y", "probability": 0.578125}, {"start": 869.91, "end": 870.41, "word": " and", "probability": 0.716796875}, {"start": 870.41, "end": 870.67, "word": " Z", "probability": 0.9873046875}, {"start": 870.67, "end": 870.99, "word": " at", "probability": 0.47216796875}, {"start": 870.99, "end": 871.21, "word": " the", "probability": 0.80224609375}, {"start": 871.21, "end": 871.53, "word": " point", "probability": 0.90185546875}, {"start": 871.53, "end": 872.83, "word": " where", "probability": 0.576171875}, {"start": 872.83, "end": 873.01, "word": " the", "probability": 0.65234375}, {"start": 873.01, "end": 873.27, "word": " beam", "probability": 0.199462890625}, {"start": 873.27, "end": 873.59, "word": " hits", "probability": 0.336181640625}, {"start": 873.59, "end": 873.67, "word": " the", "probability": 0.5341796875}, {"start": 873.67, "end": 873.89, "word": " surface", "probability": 0.66552734375}, {"start": 873.89, "end": 874.03, "word": " of", "probability": 0.94189453125}, {"start": 874.03, "end": 874.37, "word": " this", "probability": 0.62939453125}, {"start": 874.37, "end": 875.51, "word": " refracting", "probability": 0.65625}, {"start": 875.51, "end": 876.03, "word": " surface", "probability": 0.76904296875}, {"start": 876.03, "end": 876.23, "word": " or", "probability": 0.54345703125}, {"start": 876.23, "end": 876.79, "word": " lens", "probability": 0.1634521484375}, {"start": 876.79, "end": 877.55, "word": " Therefore,", "probability": 0.315673828125}, {"start": 877.73, "end": 877.85, "word": " this", "probability": 0.87255859375}, {"start": 877.85, "end": 878.29, "word": " process", "probability": 0.83056640625}, {"start": 878.29, "end": 878.81, "word": " is", "probability": 0.77978515625}, {"start": 878.81, "end": 878.81, "word": " not", "probability": 0.92529296875}, {"start": 878.81, "end": 879.43, "word": " easy", "probability": 0.7158203125}, {"start": 879.43, "end": 880.13, "word": " even", "probability": 0.583984375}, {"start": 880.13, "end": 880.31, "word": " if", "probability": 0.86767578125}, {"start": 880.31, "end": 880.37, "word": " we", "probability": 0.77587890625}, {"start": 880.37, "end": 880.75, "word": " shorten", "probability": 0.09893798828125}, {"start": 880.75, "end": 881.21, "word": " it", "probability": 0.9287109375}, {"start": 881.21, "end": 881.77, "word": " to", "probability": 0.88671875}, {"start": 881.77, "end": 882.39, "word": " just", "probability": 0.3955078125}, {"start": 882.39, "end": 883.09, "word": " two", "probability": 0.6796875}, {"start": 883.09, "end": 883.09, "word": " beams", "probability": 0.9150390625}, {"start": 883.09, "end": 885.01, "word": " Scientists", "probability": 0.58984375}, {"start": 885.01, "end": 885.63, "word": " moved", "probability": 0.492431640625}, {"start": 885.63, "end": 885.81, "word": " to", "probability": 0.8212890625}, {"start": 885.81, "end": 886.41, "word": " the", "probability": 0.80126953125}, {"start": 886.41, "end": 886.67, "word": " second", "probability": 0.83056640625}, {"start": 886.67, "end": 886.67, "word": " point", "probability": 0.9501953125}, {"start": 886.67, "end": 887.15, "word": " of", "probability": 0.8349609375}, {"start": 887.15, "end": 887.85, "word": " simplification", "probability": 0.854248046875}, {"start": 887.85, "end": 888.01, "word": " and", "probability": 0.8388671875}, {"start": 888.01, "end": 888.45, "word": " facilitation", "probability": 0.718017578125}, {"start": 888.45, "end": 888.61, "word": " in", "probability": 0.859375}, {"start": 888.61, "end": 888.85, "word": " this", "probability": 0.9111328125}, {"start": 888.85, "end": 889.23, "word": " science", "probability": 0.7060546875}, {"start": 889.23, "end": 889.93, "word": " Or", "probability": 0.450927734375}, {"start": 889.93, "end": 890.71, "word": " the", "probability": 0.84619140625}, {"start": 890.71, "end": 890.77, "word": " second", "probability": 0.84033203125}, {"start": 890.77, "end": 891.07, "word": " part", "probability": 0.86962890625}], "temperature": 1.0}, {"id": 42, "seek": 91299, "start": 892.45, "end": 912.99, "text": "From the system of first order optics, we said that first order optics is a system of equations and calculations that makes it easier to understand the science of geometric optics The first thing we talked about was ignoring image quality, now we want to talk about something else, which is number 2, the paraxial approximation", "tokens": [26219, 264, 1185, 295, 700, 1668, 42599, 11, 321, 848, 300, 700, 1668, 42599, 307, 257, 1185, 295, 11787, 293, 20448, 300, 1669, 309, 3571, 281, 1223, 264, 3497, 295, 33246, 42599, 440, 700, 551, 321, 2825, 466, 390, 26258, 3256, 3125, 11, 586, 321, 528, 281, 751, 466, 746, 1646, 11, 597, 307, 1230, 568, 11, 264, 1690, 87, 831, 28023], "avg_logprob": -0.4191468216124035, "compression_ratio": 1.6598984771573604, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 892.45, "end": 892.87, "word": "From", "probability": 0.2303466796875}, {"start": 892.87, "end": 893.39, "word": " the", "probability": 0.477783203125}, {"start": 893.39, "end": 893.71, "word": " system", "probability": 0.444091796875}, {"start": 893.71, "end": 893.99, "word": " of", "probability": 0.8681640625}, {"start": 893.99, "end": 894.31, "word": " first", "probability": 0.59228515625}, {"start": 894.31, "end": 894.71, "word": " order", "probability": 0.7216796875}, {"start": 894.71, "end": 895.19, "word": " optics,", "probability": 0.92724609375}, {"start": 895.29, "end": 895.29, "word": " we", "probability": 0.440673828125}, {"start": 895.29, "end": 895.49, "word": " said", "probability": 0.7412109375}, {"start": 895.49, "end": 896.07, "word": " that", "probability": 0.6611328125}, {"start": 896.07, "end": 896.49, "word": " first", "probability": 0.40966796875}, {"start": 896.49, "end": 896.85, "word": " order", "probability": 0.91357421875}, {"start": 896.85, "end": 897.23, "word": " optics", "probability": 0.95556640625}, {"start": 897.23, "end": 897.51, "word": " is", "probability": 0.833984375}, {"start": 897.51, "end": 898.03, "word": " a", "probability": 0.77099609375}, {"start": 898.03, "end": 898.53, "word": " system", "probability": 0.857421875}, {"start": 898.53, "end": 898.83, "word": " of", "probability": 0.8876953125}, {"start": 898.83, "end": 899.53, "word": " equations", "probability": 0.85302734375}, {"start": 899.53, "end": 899.89, "word": " and", "probability": 0.88720703125}, {"start": 899.89, "end": 900.63, "word": " calculations", "probability": 0.638671875}, {"start": 900.63, "end": 901.19, "word": " that", "probability": 0.6171875}, {"start": 901.19, "end": 901.35, "word": " makes", "probability": 0.1748046875}, {"start": 901.35, "end": 901.35, "word": " it", "probability": 0.5634765625}, {"start": 901.35, "end": 901.63, "word": " easier", "probability": 0.60888671875}, {"start": 901.63, "end": 901.79, "word": " to", "probability": 0.82421875}, {"start": 901.79, "end": 902.07, "word": " understand", "probability": 0.71435546875}, {"start": 902.07, "end": 902.65, "word": " the", "probability": 0.62548828125}, {"start": 902.65, "end": 902.95, "word": " science", "probability": 0.77587890625}, {"start": 902.95, "end": 903.19, "word": " of", "probability": 0.97021484375}, {"start": 903.19, "end": 903.73, "word": " geometric", "probability": 0.82763671875}, {"start": 903.73, "end": 904.25, "word": " optics", "probability": 0.98046875}, {"start": 904.25, "end": 904.45, "word": " The", "probability": 0.325439453125}, {"start": 904.45, "end": 904.69, "word": " first", "probability": 0.88134765625}, {"start": 904.69, "end": 904.95, "word": " thing", "probability": 0.84130859375}, {"start": 904.95, "end": 905.03, "word": " we", "probability": 0.67138671875}, {"start": 905.03, "end": 905.25, "word": " talked", "probability": 0.65185546875}, {"start": 905.25, "end": 905.65, "word": " about", "probability": 0.90478515625}, {"start": 905.65, "end": 905.85, "word": " was", "probability": 0.318603515625}, {"start": 905.85, "end": 906.27, "word": " ignoring", "probability": 0.8037109375}, {"start": 906.27, "end": 906.73, "word": " image", "probability": 0.890625}, {"start": 906.73, "end": 907.33, "word": " quality,", "probability": 0.8564453125}, {"start": 907.93, "end": 908.31, "word": " now", "probability": 0.77880859375}, {"start": 908.31, "end": 908.47, "word": " we", "probability": 0.88525390625}, {"start": 908.47, "end": 908.59, "word": " want", "probability": 0.294677734375}, {"start": 908.59, "end": 908.71, "word": " to", "probability": 0.96923828125}, {"start": 908.71, "end": 908.91, "word": " talk", "probability": 0.86279296875}, {"start": 908.91, "end": 909.13, "word": " about", "probability": 0.89990234375}, {"start": 909.13, "end": 909.35, "word": " something", "probability": 0.599609375}, {"start": 909.35, "end": 909.77, "word": " else,", "probability": 0.82861328125}, {"start": 909.99, "end": 909.99, "word": " which", "probability": 0.68505859375}, {"start": 909.99, "end": 910.13, "word": " is", "probability": 0.935546875}, {"start": 910.13, "end": 910.31, "word": " number", "probability": 0.62353515625}, {"start": 910.31, "end": 910.73, "word": " 2,", "probability": 0.52001953125}, {"start": 910.95, "end": 910.99, "word": " the", "probability": 0.5380859375}, {"start": 910.99, "end": 911.95, "word": " paraxial", "probability": 0.6114095052083334}, {"start": 911.95, "end": 912.99, "word": " approximation", "probability": 0.9443359375}], "temperature": 1.0}, {"id": 43, "seek": 94025, "start": 914.47, "end": 940.25, "text": "Paraaxial Approximation When we say paraaxial, it means adjacent to the optical axis Adjacent to the optical axis We say to exactly trace a ray through a refracting surface We need to establish a coordinate system In order to track our rays, here we are not tracing the rays directly We are not tracing the rays, but if I have a single refracting surface", "tokens": [47, 2419, 2797, 831, 29551, 3081, 399, 1133, 321, 584, 1690, 2797, 831, 11, 309, 1355, 24441, 281, 264, 20674, 10298, 1999, 19586, 317, 281, 264, 20674, 10298, 492, 584, 281, 2293, 13508, 257, 18592, 807, 257, 45353, 278, 3753, 492, 643, 281, 8327, 257, 15670, 1185, 682, 1668, 281, 2837, 527, 24417, 11, 510, 321, 366, 406, 25262, 264, 24417, 3838, 492, 366, 406, 25262, 264, 24417, 11, 457, 498, 286, 362, 257, 2167, 45353, 278, 3753], "avg_logprob": -0.4082278458377983, "compression_ratio": 1.83419689119171, "no_speech_prob": 2.4437904357910156e-06, "words": [{"start": 914.47, "end": 915.11, "word": "Paraaxial", "probability": 0.606781005859375}, {"start": 915.11, "end": 915.75, "word": " Approximation", "probability": 0.8268229166666666}, {"start": 915.75, "end": 916.25, "word": " When", "probability": 0.187255859375}, {"start": 916.25, "end": 916.47, "word": " we", "probability": 0.91455078125}, {"start": 916.47, "end": 916.61, "word": " say", "probability": 0.92431640625}, {"start": 916.61, "end": 917.51, "word": " paraaxial,", "probability": 0.80078125}, {"start": 917.69, "end": 917.75, "word": " it", "probability": 0.69287109375}, {"start": 917.75, "end": 917.91, "word": " means", "probability": 0.763671875}, {"start": 917.91, "end": 918.47, "word": " adjacent", "probability": 0.1279296875}, {"start": 918.47, "end": 918.71, "word": " to", "probability": 0.9462890625}, {"start": 918.71, "end": 918.79, "word": " the", "probability": 0.86279296875}, {"start": 918.79, "end": 919.25, "word": " optical", "probability": 0.873046875}, {"start": 919.25, "end": 920.37, "word": " axis", "probability": 0.953125}, {"start": 920.37, "end": 920.91, "word": " Adjacent", "probability": 0.6968587239583334}, {"start": 920.91, "end": 921.07, "word": " to", "probability": 0.95703125}, {"start": 921.07, "end": 921.17, "word": " the", "probability": 0.8876953125}, {"start": 921.17, "end": 921.55, "word": " optical", "probability": 0.92822265625}, {"start": 921.55, "end": 922.19, "word": " axis", "probability": 0.97265625}, {"start": 922.19, "end": 922.71, "word": " We", "probability": 0.4580078125}, {"start": 922.71, "end": 922.97, "word": " say", "probability": 0.8759765625}, {"start": 922.97, "end": 923.13, "word": " to", "probability": 0.498046875}, {"start": 923.13, "end": 923.79, "word": " exactly", "probability": 0.8916015625}, {"start": 923.79, "end": 924.25, "word": " trace", "probability": 0.9580078125}, {"start": 924.25, "end": 924.47, "word": " a", "probability": 0.8076171875}, {"start": 924.47, "end": 924.63, "word": " ray", "probability": 0.986328125}, {"start": 924.63, "end": 924.87, "word": " through", "probability": 0.8974609375}, {"start": 924.87, "end": 925.11, "word": " a", "probability": 0.958984375}, {"start": 925.11, "end": 925.71, "word": " refracting", "probability": 0.804931640625}, {"start": 925.71, "end": 926.15, "word": " surface", "probability": 0.80615234375}, {"start": 926.15, "end": 926.95, "word": " We", "probability": 0.44287109375}, {"start": 926.95, "end": 927.37, "word": " need", "probability": 0.93359375}, {"start": 927.37, "end": 927.53, "word": " to", "probability": 0.9736328125}, {"start": 927.53, "end": 928.11, "word": " establish", "probability": 0.8984375}, {"start": 928.11, "end": 928.41, "word": " a", "probability": 0.98681640625}, {"start": 928.41, "end": 928.85, "word": " coordinate", "probability": 0.82958984375}, {"start": 928.85, "end": 929.57, "word": " system", "probability": 0.9541015625}, {"start": 929.57, "end": 930.23, "word": " In", "probability": 0.260009765625}, {"start": 930.23, "end": 930.23, "word": " order", "probability": 0.919921875}, {"start": 930.23, "end": 930.41, "word": " to", "probability": 0.93505859375}, {"start": 930.41, "end": 930.93, "word": " track", "probability": 0.5849609375}, {"start": 930.93, "end": 932.49, "word": " our", "probability": 0.634765625}, {"start": 932.49, "end": 932.89, "word": " rays,", "probability": 0.31787109375}, {"start": 933.35, "end": 933.51, "word": " here", "probability": 0.494384765625}, {"start": 933.51, "end": 933.77, "word": " we", "probability": 0.8818359375}, {"start": 933.77, "end": 933.95, "word": " are", "probability": 0.454345703125}, {"start": 933.95, "end": 933.95, "word": " not", "probability": 0.93505859375}, {"start": 933.95, "end": 934.27, "word": " tracing", "probability": 0.11334228515625}, {"start": 934.27, "end": 934.51, "word": " the", "probability": 0.363037109375}, {"start": 934.51, "end": 934.79, "word": " rays", "probability": 0.90869140625}, {"start": 934.79, "end": 935.23, "word": " directly", "probability": 0.41259765625}, {"start": 935.23, "end": 936.03, "word": " We", "probability": 0.4755859375}, {"start": 936.03, "end": 936.19, "word": " are", "probability": 0.86669921875}, {"start": 936.19, "end": 936.33, "word": " not", "probability": 0.95068359375}, {"start": 936.33, "end": 936.63, "word": " tracing", "probability": 0.7421875}, {"start": 936.63, "end": 936.83, "word": " the", "probability": 0.796875}, {"start": 936.83, "end": 937.07, "word": " rays,", "probability": 0.9384765625}, {"start": 937.21, "end": 937.33, "word": " but", "probability": 0.8466796875}, {"start": 937.33, "end": 937.71, "word": " if", "probability": 0.495361328125}, {"start": 937.71, "end": 938.03, "word": " I", "probability": 0.436279296875}, {"start": 938.03, "end": 938.31, "word": " have", "probability": 0.7490234375}, {"start": 938.31, "end": 938.71, "word": " a", "probability": 0.875}, {"start": 938.71, "end": 939.09, "word": " single", "probability": 0.88671875}, {"start": 939.09, "end": 939.77, "word": " refracting", "probability": 0.804443359375}, {"start": 939.77, "end": 940.25, "word": " surface", "probability": 0.92529296875}], "temperature": 1.0}, {"id": 44, "seek": 96617, "start": 940.91, "end": 966.17, "text": "This is a glass rod drawn in blue To track our rays Let's say I'm pointing at the ray Or let's draw a ray To track a ray For example, it should hit the refracting surface at this point Let's make the ray another color To track the ray", "tokens": [5723, 307, 257, 4276, 8685, 10117, 294, 3344, 1407, 2837, 527, 24417, 961, 311, 584, 286, 478, 12166, 412, 264, 18592, 1610, 718, 311, 2642, 257, 18592, 1407, 2837, 257, 18592, 1171, 1365, 11, 309, 820, 2045, 264, 45353, 278, 3753, 412, 341, 935, 961, 311, 652, 264, 18592, 1071, 2017, 1407, 2837, 264, 18592], "avg_logprob": -0.44168527105024885, "compression_ratio": 1.5496688741721854, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 940.91, "end": 941.25, "word": "This", "probability": 0.374267578125}, {"start": 941.25, "end": 941.35, "word": " is", "probability": 0.8310546875}, {"start": 941.35, "end": 941.49, "word": " a", "probability": 0.673828125}, {"start": 941.49, "end": 941.79, "word": " glass", "probability": 0.7529296875}, {"start": 941.79, "end": 942.11, "word": " rod", "probability": 0.90283203125}, {"start": 942.11, "end": 942.49, "word": " drawn", "probability": 0.217529296875}, {"start": 942.49, "end": 942.65, "word": " in", "probability": 0.650390625}, {"start": 942.65, "end": 943.25, "word": " blue", "probability": 0.822265625}, {"start": 943.25, "end": 944.29, "word": " To", "probability": 0.1658935546875}, {"start": 944.29, "end": 946.69, "word": " track", "probability": 0.60107421875}, {"start": 946.69, "end": 946.93, "word": " our", "probability": 0.5703125}, {"start": 946.93, "end": 947.19, "word": " rays", "probability": 0.267578125}, {"start": 947.19, "end": 948.35, "word": " Let's", "probability": 0.52813720703125}, {"start": 948.35, "end": 948.55, "word": " say", "probability": 0.3251953125}, {"start": 948.55, "end": 948.91, "word": " I'm", "probability": 0.6270751953125}, {"start": 948.91, "end": 949.21, "word": " pointing", "probability": 0.72119140625}, {"start": 949.21, "end": 949.47, "word": " at", "probability": 0.517578125}, {"start": 949.47, "end": 949.73, "word": " the", "probability": 0.64453125}, {"start": 949.73, "end": 950.07, "word": " ray", "probability": 0.30810546875}, {"start": 950.07, "end": 950.97, "word": " Or", "probability": 0.65966796875}, {"start": 950.97, "end": 951.35, "word": " let's", "probability": 0.934326171875}, {"start": 951.35, "end": 951.61, "word": " draw", "probability": 0.84130859375}, {"start": 951.61, "end": 952.01, "word": " a", "probability": 0.7763671875}, {"start": 952.01, "end": 952.01, "word": " ray", "probability": 0.9208984375}, {"start": 952.01, "end": 952.33, "word": " To", "probability": 0.458984375}, {"start": 952.33, "end": 952.85, "word": " track", "probability": 0.88916015625}, {"start": 952.85, "end": 953.05, "word": " a", "probability": 0.73876953125}, {"start": 953.05, "end": 953.43, "word": " ray", "probability": 0.93505859375}, {"start": 953.43, "end": 954.17, "word": " For", "probability": 0.486572265625}, {"start": 954.17, "end": 954.39, "word": " example,", "probability": 0.9189453125}, {"start": 954.49, "end": 954.71, "word": " it", "probability": 0.546875}, {"start": 954.71, "end": 954.71, "word": " should", "probability": 0.228271484375}, {"start": 954.71, "end": 954.97, "word": " hit", "probability": 0.31103515625}, {"start": 954.97, "end": 955.17, "word": " the", "probability": 0.58251953125}, {"start": 955.17, "end": 955.71, "word": " refracting", "probability": 0.7666015625}, {"start": 955.71, "end": 956.15, "word": " surface", "probability": 0.89013671875}, {"start": 956.15, "end": 956.37, "word": " at", "probability": 0.857421875}, {"start": 956.37, "end": 956.63, "word": " this", "probability": 0.92333984375}, {"start": 956.63, "end": 957.05, "word": " point", "probability": 0.966796875}, {"start": 957.05, "end": 958.03, "word": " Let's", "probability": 0.955078125}, {"start": 958.03, "end": 958.25, "word": " make", "probability": 0.72705078125}, {"start": 958.25, "end": 958.45, "word": " the", "probability": 0.84716796875}, {"start": 958.45, "end": 958.65, "word": " ray", "probability": 0.86962890625}, {"start": 958.65, "end": 959.35, "word": " another", "probability": 0.81103515625}, {"start": 959.35, "end": 959.35, "word": " color", "probability": 0.83544921875}, {"start": 959.35, "end": 965.17, "word": " To", "probability": 0.9091796875}, {"start": 965.17, "end": 965.69, "word": " track", "probability": 0.92041015625}, {"start": 965.69, "end": 965.95, "word": " the", "probability": 0.77587890625}, {"start": 965.95, "end": 966.17, "word": " ray", "probability": 0.71923828125}], "temperature": 1.0}, {"id": 45, "seek": 100194, "start": 999.74, "end": 1001.94, "text": "Let's look at the enlarged picture", "tokens": [8373, 311, 574, 412, 264, 31976, 3004, 3036], "avg_logprob": -1.1145833333333333, "compression_ratio": 0.8095238095238095, "no_speech_prob": 0.98779296875, "words": [{"start": 999.74, "end": 1001.14, "word": "Let's", "probability": 0.4257965087890625}, {"start": 1001.14, "end": 1001.94, "word": " look", "probability": 0.2261962890625}, {"start": 1001.94, "end": 1001.94, "word": " at", "probability": 0.85595703125}, {"start": 1001.94, "end": 1001.94, "word": " the", "probability": 0.52587890625}, {"start": 1001.94, "end": 1001.94, "word": " enlarged", "probability": 0.511505126953125}, {"start": 1001.94, "end": 1001.94, "word": " picture", "probability": 0.39501953125}], "temperature": 1.0}, {"id": 46, "seek": 102847, "start": 1002.05, "end": 1028.47, "text": "و Y شرطة طبعا X هنا .. X هنا عمودي على سطح المكتب عمودي على سطح المكتب يعني باتجاه الإنسان اللي قاعد على مقابل الشاشة بتاعة ال laptop أو ال computer Z على سطح المكتب بشكل أفقي و Y على سطح المكتب بشكل عمودي و عمودي عليه على سطح المكتب يعني يخترق من اتجاه الناظر باتجاه", "tokens": [2407, 398, 13412, 2288, 9566, 3660, 23032, 3555, 3615, 995, 1783, 34105, 4386, 1783, 34105, 6225, 2304, 2407, 16254, 15844, 8608, 9566, 5016, 9673, 4117, 2655, 3555, 6225, 2304, 2407, 16254, 15844, 8608, 9566, 5016, 9673, 4117, 2655, 3555, 37495, 22653, 4724, 9307, 7435, 40294, 33688, 1863, 3794, 7649, 13672, 1829, 12174, 995, 22488, 15844, 3714, 4587, 16758, 1211, 25124, 33599, 3660, 39894, 995, 27884, 2423, 10732, 34051, 2423, 3820, 1176, 15844, 8608, 9566, 5016, 9673, 4117, 2655, 3555, 4724, 8592, 28820, 5551, 5172, 38436, 4032, 398, 15844, 8608, 9566, 5016, 9673, 4117, 2655, 3555, 4724, 8592, 28820, 6225, 2304, 2407, 16254, 4032, 6225, 2304, 2407, 16254, 47356, 15844, 8608, 9566, 5016, 9673, 4117, 2655, 3555, 37495, 22653, 7251, 46456, 2288, 4587, 9154, 1975, 2655, 7435, 40294, 28239, 5718, 116, 2288, 4724, 9307, 7435, 40294], "avg_logprob": -0.10966222158030552, "compression_ratio": 2.2561576354679804, "no_speech_prob": 3.0159950256347656e-05, "words": [{"start": 1002.05, "end": 1002.39, "word": "و", "probability": 0.341064453125}, {"start": 1002.39, "end": 1002.65, "word": " Y", "probability": 0.366455078125}, {"start": 1002.65, "end": 1003.17, "word": " شرطة", "probability": 0.771728515625}, {"start": 1003.17, "end": 1003.73, "word": " طبعا", "probability": 0.7737579345703125}, {"start": 1003.73, "end": 1004.13, "word": " X", "probability": 0.849609375}, {"start": 1004.13, "end": 1004.43, "word": " هنا", "probability": 0.97607421875}, {"start": 1004.43, "end": 1004.55, "word": " ..", "probability": 0.335693359375}, {"start": 1004.55, "end": 1005.37, "word": " X", "probability": 0.94677734375}, {"start": 1005.37, "end": 1005.73, "word": " هنا", "probability": 0.98974609375}, {"start": 1005.73, "end": 1006.55, "word": " عمودي", "probability": 0.9808349609375}, {"start": 1006.55, "end": 1006.79, "word": " على", "probability": 0.90087890625}, {"start": 1006.79, "end": 1007.13, "word": " سطح", "probability": 0.9830729166666666}, {"start": 1007.13, "end": 1007.63, "word": " المكتب", "probability": 0.9833984375}, {"start": 1007.63, "end": 1008.11, "word": " عمودي", "probability": 0.9613037109375}, {"start": 1008.11, "end": 1008.31, "word": " على", "probability": 0.9287109375}, {"start": 1008.31, "end": 1008.61, "word": " سطح", "probability": 0.99609375}, {"start": 1008.61, "end": 1009.11, "word": " المكتب", "probability": 0.9869384765625}, {"start": 1009.11, "end": 1009.33, "word": " يعني", "probability": 0.883544921875}, {"start": 1009.33, "end": 1010.03, "word": " باتجاه", "probability": 0.9552001953125}, {"start": 1010.03, "end": 1010.87, "word": " الإنسان", "probability": 0.95166015625}, {"start": 1010.87, "end": 1011.05, "word": " اللي", "probability": 0.93603515625}, {"start": 1011.05, "end": 1011.41, "word": " قاعد", "probability": 0.8553059895833334}, {"start": 1011.41, "end": 1011.79, "word": " على", "probability": 0.81884765625}, {"start": 1011.79, "end": 1012.99, "word": " مقابل", "probability": 0.9677734375}, {"start": 1012.99, "end": 1013.57, "word": " الشاشة", "probability": 0.986328125}, {"start": 1013.57, "end": 1013.95, "word": " بتاعة", "probability": 0.8831380208333334}, {"start": 1013.95, "end": 1014.07, "word": " ال", "probability": 0.85595703125}, {"start": 1014.07, "end": 1014.31, "word": " laptop", "probability": 0.8271484375}, {"start": 1014.31, "end": 1014.69, "word": " أو", "probability": 0.8203125}, {"start": 1014.69, "end": 1015.09, "word": " ال", "probability": 0.9736328125}, {"start": 1015.09, "end": 1015.61, "word": " computer", "probability": 0.9345703125}, {"start": 1015.61, "end": 1016.39, "word": " Z", "probability": 0.7265625}, {"start": 1016.39, "end": 1017.15, "word": " على", "probability": 0.79931640625}, {"start": 1017.15, "end": 1017.49, "word": " سطح", "probability": 0.9977213541666666}, {"start": 1017.49, "end": 1017.93, "word": " المكتب", "probability": 0.994873046875}, {"start": 1017.93, "end": 1018.35, "word": " بشكل", "probability": 0.9930013020833334}, {"start": 1018.35, "end": 1018.83, "word": " أفقي", "probability": 0.91259765625}, {"start": 1018.83, "end": 1019.11, "word": " و", "probability": 0.9912109375}, {"start": 1019.11, "end": 1019.41, "word": " Y", "probability": 0.78515625}, {"start": 1019.41, "end": 1019.69, "word": " على", "probability": 0.9072265625}, {"start": 1019.69, "end": 1020.05, "word": " سطح", "probability": 0.9972330729166666}, {"start": 1020.05, "end": 1020.53, "word": " المكتب", "probability": 0.9962158203125}, {"start": 1020.53, "end": 1020.97, "word": " بشكل", "probability": 0.9944661458333334}, {"start": 1020.97, "end": 1021.47, "word": " عمودي", "probability": 0.989013671875}, {"start": 1021.47, "end": 1022.05, "word": " و", "probability": 0.96630859375}, {"start": 1022.05, "end": 1022.47, "word": " عمودي", "probability": 0.8851318359375}, {"start": 1022.47, "end": 1022.83, "word": " عليه", "probability": 0.71826171875}, {"start": 1022.83, "end": 1023.29, "word": " على", "probability": 0.90625}, {"start": 1023.29, "end": 1023.97, "word": " سطح", "probability": 0.99560546875}, {"start": 1023.97, "end": 1024.55, "word": " المكتب", "probability": 0.995849609375}, {"start": 1024.55, "end": 1024.87, "word": " يعني", "probability": 0.947509765625}, {"start": 1024.87, "end": 1025.75, "word": " يخترق", "probability": 0.900146484375}, {"start": 1025.75, "end": 1026.59, "word": " من", "probability": 0.990234375}, {"start": 1026.59, "end": 1027.11, "word": " اتجاه", "probability": 0.960205078125}, {"start": 1027.11, "end": 1027.85, "word": " الناظر", "probability": 0.7991943359375}, {"start": 1027.85, "end": 1028.47, "word": " باتجاه", "probability": 0.94873046875}], "temperature": 1.0}, {"id": 47, "seek": 103084, "start": 1028.75, "end": 1030.85, "text": "So these are the main objectives", "tokens": [6455, 613, 366, 264, 2135, 15961], "avg_logprob": -0.5694754293986729, "compression_ratio": 0.8648648648648649, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1028.75, "end": 1029.97, "word": "So", "probability": 0.27099609375}, {"start": 1029.97, "end": 1030.27, "word": " these", "probability": 0.6279296875}, {"start": 1030.27, "end": 1030.27, "word": " are", "probability": 0.59521484375}, {"start": 1030.27, "end": 1030.39, "word": " the", "probability": 0.87451171875}, {"start": 1030.39, "end": 1030.39, "word": " main", "probability": 0.82080078125}, {"start": 1030.39, "end": 1030.85, "word": " objectives", "probability": 0.37158203125}], "temperature": 1.0}, {"id": 48, "seek": 105957, "start": 1032.65, "end": 1059.57, "text": "These main innovations are applied to the optical axis of the system. Of course, the optical axis, we all know what is the optical axis. Of course, the beam, which is seen, which is drawn in red, hit the refracting surface at this point and it became broken. In order to know its direction inside the glass, I must first know the angle of fall. In order to know the angle of fall, I must draw", "tokens": [28858, 2135, 24283, 366, 6456, 281, 264, 20674, 10298, 295, 264, 1185, 13, 2720, 1164, 11, 264, 20674, 10298, 11, 321, 439, 458, 437, 307, 264, 20674, 10298, 13, 2720, 1164, 11, 264, 14269, 11, 597, 307, 1612, 11, 597, 307, 10117, 294, 2182, 11, 2045, 264, 45353, 278, 3753, 412, 341, 935, 293, 309, 3062, 5463, 13, 682, 1668, 281, 458, 1080, 3513, 1854, 264, 4276, 11, 286, 1633, 700, 458, 264, 5802, 295, 2100, 13, 682, 1668, 281, 458, 264, 5802, 295, 2100, 11, 286, 1633, 2642], "avg_logprob": -0.466666673289405, "compression_ratio": 1.8666666666666667, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 1032.65, "end": 1033.21, "word": "These", "probability": 0.2000732421875}, {"start": 1033.21, "end": 1033.77, "word": " main", "probability": 0.38037109375}, {"start": 1033.77, "end": 1033.77, "word": " innovations", "probability": 0.37109375}, {"start": 1033.77, "end": 1034.29, "word": " are", "probability": 0.30859375}, {"start": 1034.29, "end": 1034.57, "word": " applied", "probability": 0.07965087890625}, {"start": 1034.57, "end": 1035.33, "word": " to", "probability": 0.701171875}, {"start": 1035.33, "end": 1035.39, "word": " the", "probability": 0.68701171875}, {"start": 1035.39, "end": 1035.73, "word": " optical", "probability": 0.76708984375}, {"start": 1035.73, "end": 1036.31, "word": " axis", "probability": 0.8662109375}, {"start": 1036.31, "end": 1036.51, "word": " of", "probability": 0.84765625}, {"start": 1036.51, "end": 1036.71, "word": " the", "probability": 0.81396484375}, {"start": 1036.71, "end": 1037.09, "word": " system.", "probability": 0.9150390625}, {"start": 1037.27, "end": 1037.35, "word": " Of", "probability": 0.1973876953125}, {"start": 1037.35, "end": 1037.45, "word": " course,", "probability": 0.94482421875}, {"start": 1037.55, "end": 1037.93, "word": " the", "probability": 0.51220703125}, {"start": 1037.93, "end": 1037.93, "word": " optical", "probability": 0.27685546875}, {"start": 1037.93, "end": 1038.57, "word": " axis,", "probability": 0.93798828125}, {"start": 1038.71, "end": 1039.09, "word": " we", "probability": 0.681640625}, {"start": 1039.09, "end": 1039.27, "word": " all", "probability": 0.90576171875}, {"start": 1039.27, "end": 1039.59, "word": " know", "probability": 0.87841796875}, {"start": 1039.59, "end": 1039.89, "word": " what", "probability": 0.8564453125}, {"start": 1039.89, "end": 1040.11, "word": " is", "probability": 0.312255859375}, {"start": 1040.11, "end": 1040.59, "word": " the", "probability": 0.62255859375}, {"start": 1040.59, "end": 1040.97, "word": " optical", "probability": 0.9521484375}, {"start": 1040.97, "end": 1041.47, "word": " axis.", "probability": 0.95947265625}, {"start": 1041.79, "end": 1041.89, "word": " Of", "probability": 0.56201171875}, {"start": 1041.89, "end": 1042.11, "word": " course,", "probability": 0.95556640625}, {"start": 1042.77, "end": 1042.77, "word": " the", "probability": 0.64306640625}, {"start": 1042.77, "end": 1043.01, "word": " beam,", "probability": 0.1365966796875}, {"start": 1043.61, "end": 1043.63, "word": " which", "probability": 0.7685546875}, {"start": 1043.63, "end": 1043.91, "word": " is", "probability": 0.93359375}, {"start": 1043.91, "end": 1044.35, "word": " seen,", "probability": 0.27197265625}, {"start": 1044.55, "end": 1044.67, "word": " which", "probability": 0.828125}, {"start": 1044.67, "end": 1045.01, "word": " is", "probability": 0.93359375}, {"start": 1045.01, "end": 1045.37, "word": " drawn", "probability": 0.7021484375}, {"start": 1045.37, "end": 1045.57, "word": " in", "probability": 0.87158203125}, {"start": 1045.57, "end": 1046.17, "word": " red,", "probability": 0.89111328125}, {"start": 1046.85, "end": 1048.33, "word": " hit", "probability": 0.5283203125}, {"start": 1048.33, "end": 1048.51, "word": " the", "probability": 0.771484375}, {"start": 1048.51, "end": 1049.07, "word": " refracting", "probability": 0.80517578125}, {"start": 1049.07, "end": 1049.53, "word": " surface", "probability": 0.88818359375}, {"start": 1049.53, "end": 1049.75, "word": " at", "probability": 0.82861328125}, {"start": 1049.75, "end": 1049.87, "word": " this", "probability": 0.4384765625}, {"start": 1049.87, "end": 1050.09, "word": " point", "probability": 0.9521484375}, {"start": 1050.09, "end": 1050.55, "word": " and", "probability": 0.5859375}, {"start": 1050.55, "end": 1050.55, "word": " it", "probability": 0.33447265625}, {"start": 1050.55, "end": 1050.55, "word": " became", "probability": 0.342529296875}, {"start": 1050.55, "end": 1050.93, "word": " broken.", "probability": 0.301513671875}, {"start": 1051.59, "end": 1051.91, "word": " In", "probability": 0.34228515625}, {"start": 1051.91, "end": 1051.91, "word": " order", "probability": 0.9189453125}, {"start": 1051.91, "end": 1052.03, "word": " to", "probability": 0.96728515625}, {"start": 1052.03, "end": 1052.15, "word": " know", "probability": 0.78076171875}, {"start": 1052.15, "end": 1052.33, "word": " its", "probability": 0.6865234375}, {"start": 1052.33, "end": 1052.75, "word": " direction", "probability": 0.81640625}, {"start": 1052.75, "end": 1053.17, "word": " inside", "probability": 0.849609375}, {"start": 1053.17, "end": 1053.39, "word": " the", "probability": 0.884765625}, {"start": 1053.39, "end": 1053.79, "word": " glass,", "probability": 0.75048828125}, {"start": 1054.17, "end": 1054.25, "word": " I", "probability": 0.31640625}, {"start": 1054.25, "end": 1054.45, "word": " must", "probability": 0.7060546875}, {"start": 1054.45, "end": 1054.95, "word": " first", "probability": 0.7255859375}, {"start": 1054.95, "end": 1055.51, "word": " know", "probability": 0.8369140625}, {"start": 1055.51, "end": 1055.71, "word": " the", "probability": 0.90576171875}, {"start": 1055.71, "end": 1055.91, "word": " angle", "probability": 0.650390625}, {"start": 1055.91, "end": 1056.13, "word": " of", "probability": 0.96435546875}, {"start": 1056.13, "end": 1056.41, "word": " fall.", "probability": 0.481201171875}, {"start": 1056.85, "end": 1057.21, "word": " In", "probability": 0.58984375}, {"start": 1057.21, "end": 1057.29, "word": " order", "probability": 0.9306640625}, {"start": 1057.29, "end": 1057.43, "word": " to", "probability": 0.9736328125}, {"start": 1057.43, "end": 1057.67, "word": " know", "probability": 0.82080078125}, {"start": 1057.67, "end": 1057.83, "word": " the", "probability": 0.92138671875}, {"start": 1057.83, "end": 1057.97, "word": " angle", "probability": 0.84033203125}, {"start": 1057.97, "end": 1058.17, "word": " of", "probability": 0.9521484375}, {"start": 1058.17, "end": 1058.51, "word": " fall,", "probability": 0.77783203125}, {"start": 1058.79, "end": 1058.85, "word": " I", "probability": 0.98095703125}, {"start": 1058.85, "end": 1059.13, "word": " must", "probability": 0.75537109375}, {"start": 1059.13, "end": 1059.57, "word": " draw", "probability": 0.8408203125}], "temperature": 1.0}, {"id": 49, "seek": 106358, "start": 1060.64, "end": 1063.58, "text": "لازم أرسم إحداثيات فرعية", "tokens": [1211, 31377, 2304, 5551, 2288, 38251, 11933, 24401, 5718, 104, 1829, 9307, 6156, 2288, 3615, 10632], "avg_logprob": -0.18841911764705882, "compression_ratio": 0.9375, "no_speech_prob": 0.0, "words": [{"start": 1060.64, "end": 1061.16, "word": "لازم", "probability": 0.7427978515625}, {"start": 1061.16, "end": 1061.66, "word": " أرسم", "probability": 0.814697265625}, {"start": 1061.66, "end": 1062.98, "word": " إحداثيات", "probability": 0.9317220052083334}, {"start": 1062.98, "end": 1063.58, "word": " فرعية", "probability": 0.975341796875}], "temperature": 1.0}, {"id": 50, "seek": 109018, "start": 1064.68, "end": 1090.18, "text": "equal to the basic priorities of the system as all its priorities in space of course this is not easy this is something that requires the intervention of mathematics in this matter so to exactly trace in order to follow a beam through a refracting surface we need to establish a coordinate system by convention according to what is known to him", "tokens": [12816, 304, 281, 264, 3875, 15503, 295, 264, 1185, 382, 439, 1080, 15503, 294, 1901, 295, 1164, 341, 307, 406, 1858, 341, 307, 746, 300, 7029, 264, 13176, 295, 5221, 443, 30292, 294, 341, 1871, 370, 281, 2293, 13508, 294, 1668, 281, 1524, 257, 14269, 807, 257, 45353, 278, 3753, 321, 643, 281, 8327, 257, 15670, 1185, 538, 10286, 4650, 281, 437, 307, 2570, 281, 796], "avg_logprob": -0.49440298329538374, "compression_ratio": 1.7551020408163265, "no_speech_prob": 2.562999725341797e-06, "words": [{"start": 1064.6799999999998, "end": 1065.34, "word": "equal", "probability": 0.739501953125}, {"start": 1065.34, "end": 1065.88, "word": " to", "probability": 0.94873046875}, {"start": 1065.88, "end": 1065.92, "word": " the", "probability": 0.607421875}, {"start": 1065.92, "end": 1066.26, "word": " basic", "probability": 0.331787109375}, {"start": 1066.26, "end": 1066.8, "word": " priorities", "probability": 0.025054931640625}, {"start": 1066.8, "end": 1068.44, "word": " of", "probability": 0.7890625}, {"start": 1068.44, "end": 1068.74, "word": " the", "probability": 0.74658203125}, {"start": 1068.74, "end": 1069.06, "word": " system", "probability": 0.91259765625}, {"start": 1069.06, "end": 1069.26, "word": " as", "probability": 0.603515625}, {"start": 1069.26, "end": 1069.52, "word": " all", "probability": 0.6748046875}, {"start": 1069.52, "end": 1069.6, "word": " its", "probability": 0.51953125}, {"start": 1069.6, "end": 1070.08, "word": " priorities", "probability": 0.89794921875}, {"start": 1070.08, "end": 1070.96, "word": " in", "probability": 0.759765625}, {"start": 1070.96, "end": 1071.86, "word": " space", "probability": 0.7705078125}, {"start": 1071.86, "end": 1072.28, "word": " of", "probability": 0.2274169921875}, {"start": 1072.28, "end": 1072.44, "word": " course", "probability": 0.9609375}, {"start": 1072.44, "end": 1072.66, "word": " this", "probability": 0.57861328125}, {"start": 1072.66, "end": 1072.84, "word": " is", "probability": 0.8115234375}, {"start": 1072.84, "end": 1073.08, "word": " not", "probability": 0.88427734375}, {"start": 1073.08, "end": 1073.78, "word": " easy", "probability": 0.482421875}, {"start": 1073.78, "end": 1074.44, "word": " this", "probability": 0.5439453125}, {"start": 1074.44, "end": 1074.72, "word": " is", "probability": 0.350830078125}, {"start": 1074.72, "end": 1074.82, "word": " something", "probability": 0.3828125}, {"start": 1074.82, "end": 1074.88, "word": " that", "probability": 0.5576171875}, {"start": 1074.88, "end": 1075.04, "word": " requires", "probability": 0.51611328125}, {"start": 1075.04, "end": 1075.14, "word": " the", "probability": 0.30517578125}, {"start": 1075.14, "end": 1075.46, "word": " intervention", "probability": 0.85498046875}, {"start": 1075.46, "end": 1075.66, "word": " of", "probability": 0.9638671875}, {"start": 1075.66, "end": 1076.3, "word": " mathematics", "probability": 0.4752604166666667}, {"start": 1076.3, "end": 1076.6, "word": " in", "probability": 0.78662109375}, {"start": 1076.6, "end": 1077.14, "word": " this", "probability": 0.89892578125}, {"start": 1077.14, "end": 1077.82, "word": " matter", "probability": 0.361328125}, {"start": 1077.82, "end": 1078.4, "word": " so", "probability": 0.46875}, {"start": 1078.4, "end": 1078.62, "word": " to", "probability": 0.84375}, {"start": 1078.62, "end": 1079.2, "word": " exactly", "probability": 0.89892578125}, {"start": 1079.2, "end": 1079.8, "word": " trace", "probability": 0.96533203125}, {"start": 1079.8, "end": 1080.62, "word": " in", "probability": 0.20263671875}, {"start": 1080.62, "end": 1080.72, "word": " order", "probability": 0.93359375}, {"start": 1080.72, "end": 1080.86, "word": " to", "probability": 0.94677734375}, {"start": 1080.86, "end": 1081.46, "word": " follow", "probability": 0.2432861328125}, {"start": 1081.46, "end": 1082.42, "word": " a", "probability": 0.63623046875}, {"start": 1082.42, "end": 1082.64, "word": " beam", "probability": 0.4169921875}, {"start": 1082.64, "end": 1083.28, "word": " through", "probability": 0.90185546875}, {"start": 1083.28, "end": 1083.5, "word": " a", "probability": 0.9443359375}, {"start": 1083.5, "end": 1084.12, "word": " refracting", "probability": 0.848876953125}, {"start": 1084.12, "end": 1084.54, "word": " surface", "probability": 0.53125}, {"start": 1084.54, "end": 1084.84, "word": " we", "probability": 0.7998046875}, {"start": 1084.84, "end": 1085.2, "word": " need", "probability": 0.93310546875}, {"start": 1085.2, "end": 1085.34, "word": " to", "probability": 0.9716796875}, {"start": 1085.34, "end": 1085.92, "word": " establish", "probability": 0.90185546875}, {"start": 1085.92, "end": 1086.08, "word": " a", "probability": 0.440673828125}, {"start": 1086.08, "end": 1086.5, "word": " coordinate", "probability": 0.7099609375}, {"start": 1086.5, "end": 1087.3, "word": " system", "probability": 0.953125}, {"start": 1087.3, "end": 1087.96, "word": " by", "probability": 0.94580078125}, {"start": 1087.96, "end": 1088.52, "word": " convention", "probability": 0.9228515625}, {"start": 1088.52, "end": 1088.88, "word": " according", "probability": 0.4658203125}, {"start": 1088.88, "end": 1089.0, "word": " to", "probability": 0.96533203125}, {"start": 1089.0, "end": 1089.04, "word": " what", "probability": 0.78271484375}, {"start": 1089.04, "end": 1089.18, "word": " is", "probability": 0.499755859375}, {"start": 1089.18, "end": 1089.7, "word": " known", "probability": 0.382080078125}, {"start": 1089.7, "end": 1090.02, "word": " to", "probability": 0.7890625}, {"start": 1090.02, "end": 1090.18, "word": " him", "probability": 0.51708984375}], "temperature": 1.0}, {"id": 51, "seek": 109967, "start": 1091.61, "end": 1099.67, "text": "The origin of the coordinate system is located at the vertex, the point where the optical axis intersects the surface.", "tokens": [2278, 4957, 295, 264, 15670, 1185, 307, 6870, 412, 264, 28162, 11, 264, 935, 689, 264, 20674, 10298, 27815, 82, 264, 3753, 13], "avg_logprob": -0.236328129346172, "compression_ratio": 1.2553191489361701, "no_speech_prob": 3.337860107421875e-06, "words": [{"start": 1091.61, "end": 1091.83, "word": "The", "probability": 0.69189453125}, {"start": 1091.83, "end": 1092.23, "word": " origin", "probability": 0.9609375}, {"start": 1092.23, "end": 1092.49, "word": " of", "probability": 0.974609375}, {"start": 1092.49, "end": 1092.65, "word": " the", "probability": 0.87890625}, {"start": 1092.65, "end": 1093.09, "word": " coordinate", "probability": 0.78564453125}, {"start": 1093.09, "end": 1093.61, "word": " system", "probability": 0.95849609375}, {"start": 1093.61, "end": 1093.99, "word": " is", "probability": 0.9423828125}, {"start": 1093.99, "end": 1094.47, "word": " located", "probability": 0.93017578125}, {"start": 1094.47, "end": 1094.81, "word": " at", "probability": 0.9619140625}, {"start": 1094.81, "end": 1094.97, "word": " the", "probability": 0.912109375}, {"start": 1094.97, "end": 1095.43, "word": " vertex,", "probability": 0.86328125}, {"start": 1095.57, "end": 1095.91, "word": " the", "probability": 0.82470703125}, {"start": 1095.91, "end": 1096.29, "word": " point", "probability": 0.97314453125}, {"start": 1096.29, "end": 1096.61, "word": " where", "probability": 0.93994140625}, {"start": 1096.61, "end": 1096.77, "word": " the", "probability": 0.919921875}, {"start": 1096.77, "end": 1097.19, "word": " optical", "probability": 0.90234375}, {"start": 1097.19, "end": 1097.73, "word": " axis", "probability": 0.9228515625}, {"start": 1097.73, "end": 1098.95, "word": " intersects", "probability": 0.945556640625}, {"start": 1098.95, "end": 1099.19, "word": " the", "probability": 0.8994140625}, {"start": 1099.19, "end": 1099.67, "word": " surface.", "probability": 0.83154296875}], "temperature": 1.0}, {"id": 52, "seek": 112806, "start": 1116.58, "end": 1128.06, "text": "also by convention the y-axis is vertical the z-axis coincides with the optical axis and the x-axis is perpendicular to the page", "tokens": [41551, 538, 10286, 264, 288, 12, 24633, 307, 9429, 264, 710, 12, 24633, 13001, 1875, 365, 264, 20674, 10298, 293, 264, 2031, 12, 24633, 307, 26734, 281, 264, 3028], "avg_logprob": -0.17539062748352688, "compression_ratio": 1.4065934065934067, "no_speech_prob": 2.205371856689453e-06, "words": [{"start": 1116.58, "end": 1117.0, "word": "also", "probability": 0.297119140625}, {"start": 1117.0, "end": 1117.26, "word": " by", "probability": 0.91259765625}, {"start": 1117.26, "end": 1117.88, "word": " convention", "probability": 0.919921875}, {"start": 1117.88, "end": 1118.68, "word": " the", "probability": 0.64697265625}, {"start": 1118.68, "end": 1119.18, "word": " y", "probability": 0.78662109375}, {"start": 1119.18, "end": 1119.64, "word": "-axis", "probability": 0.80908203125}, {"start": 1119.64, "end": 1120.02, "word": " is", "probability": 0.9521484375}, {"start": 1120.02, "end": 1120.62, "word": " vertical", "probability": 0.92236328125}, {"start": 1120.62, "end": 1121.36, "word": " the", "probability": 0.734375}, {"start": 1121.36, "end": 1121.68, "word": " z", "probability": 0.9833984375}, {"start": 1121.68, "end": 1122.2, "word": "-axis", "probability": 0.927978515625}, {"start": 1122.2, "end": 1123.12, "word": " coincides", "probability": 0.911376953125}, {"start": 1123.12, "end": 1123.38, "word": " with", "probability": 0.92138671875}, {"start": 1123.38, "end": 1123.56, "word": " the", "probability": 0.9248046875}, {"start": 1123.56, "end": 1123.92, "word": " optical", "probability": 0.94384765625}, {"start": 1123.92, "end": 1124.54, "word": " axis", "probability": 0.95361328125}, {"start": 1124.54, "end": 1125.24, "word": " and", "probability": 0.92041015625}, {"start": 1125.24, "end": 1125.4, "word": " the", "probability": 0.9140625}, {"start": 1125.4, "end": 1125.7, "word": " x", "probability": 0.99462890625}, {"start": 1125.7, "end": 1126.18, "word": "-axis", "probability": 0.9384765625}, {"start": 1126.18, "end": 1126.54, "word": " is", "probability": 0.95556640625}, {"start": 1126.54, "end": 1127.1, "word": " perpendicular", "probability": 0.88818359375}, {"start": 1127.1, "end": 1127.7, "word": " to", "probability": 0.97509765625}, {"start": 1127.7, "end": 1127.88, "word": " the", "probability": 0.92333984375}, {"start": 1127.88, "end": 1128.06, "word": " page", "probability": 0.6591796875}], "temperature": 1.0}, {"id": 53, "seek": 116129, "start": 1132.63, "end": 1161.29, "text": "The optical axis, the y-axis is vertical but it comes to the exact surface of the desk, both come to y and z, and the x is vertical on the surface of the desk, vertical on the surface of the desk or on the surface of the paper if we explain on paper, that is written. I also have y and z, z is applied to the optical axis and y is vertical but both are on the surface of the desk and x is vertical on the surface of the desk.", "tokens": [2278, 20674, 10298, 11, 264, 288, 12, 24633, 307, 9429, 457, 309, 1487, 281, 264, 1900, 3753, 295, 264, 10026, 11, 1293, 808, 281, 288, 293, 710, 11, 293, 264, 2031, 307, 9429, 322, 264, 3753, 295, 264, 10026, 11, 9429, 322, 264, 3753, 295, 264, 10026, 420, 322, 264, 3753, 295, 264, 3035, 498, 321, 2903, 322, 3035, 11, 300, 307, 3720, 13, 286, 611, 362, 288, 293, 710, 11, 710, 307, 6456, 281, 264, 20674, 10298, 293, 288, 307, 9429, 457, 1293, 366, 322, 264, 3753, 295, 264, 10026, 293, 2031, 307, 9429, 322, 264, 3753, 295, 264, 10026, 13], "avg_logprob": -0.40564321198509734, "compression_ratio": 2.442528735632184, "no_speech_prob": 8.761882781982422e-06, "words": [{"start": 1132.63, "end": 1132.89, "word": "The", "probability": 0.41162109375}, {"start": 1132.89, "end": 1133.25, "word": " optical", "probability": 0.6142578125}, {"start": 1133.25, "end": 1133.93, "word": " axis,", "probability": 0.92138671875}, {"start": 1134.45, "end": 1134.57, "word": " the", "probability": 0.61376953125}, {"start": 1134.57, "end": 1134.83, "word": " y", "probability": 0.5732421875}, {"start": 1134.83, "end": 1135.27, "word": "-axis", "probability": 0.6883544921875}, {"start": 1135.27, "end": 1135.47, "word": " is", "probability": 0.7236328125}, {"start": 1135.47, "end": 1135.71, "word": " vertical", "probability": 0.69970703125}, {"start": 1135.71, "end": 1135.97, "word": " but", "probability": 0.56494140625}, {"start": 1135.97, "end": 1136.11, "word": " it", "probability": 0.62939453125}, {"start": 1136.11, "end": 1136.21, "word": " comes", "probability": 0.27294921875}, {"start": 1136.21, "end": 1136.41, "word": " to", "probability": 0.2330322265625}, {"start": 1136.41, "end": 1136.67, "word": " the", "probability": 0.81494140625}, {"start": 1136.67, "end": 1137.29, "word": " exact", "probability": 0.28857421875}, {"start": 1137.29, "end": 1137.49, "word": " surface", "probability": 0.372314453125}, {"start": 1137.49, "end": 1137.69, "word": " of", "probability": 0.951171875}, {"start": 1137.69, "end": 1137.81, "word": " the", "probability": 0.88818359375}, {"start": 1137.81, "end": 1138.05, "word": " desk,", "probability": 0.239013671875}, {"start": 1138.29, "end": 1138.67, "word": " both", "probability": 0.5341796875}, {"start": 1138.67, "end": 1138.99, "word": " come", "probability": 0.248291015625}, {"start": 1138.99, "end": 1139.15, "word": " to", "probability": 0.421630859375}, {"start": 1139.15, "end": 1139.49, "word": " y", "probability": 0.2037353515625}, {"start": 1139.49, "end": 1139.69, "word": " and", "probability": 0.9140625}, {"start": 1139.69, "end": 1140.01, "word": " z,", "probability": 0.98828125}, {"start": 1140.47, "end": 1140.67, "word": " and", "probability": 0.88916015625}, {"start": 1140.67, "end": 1140.77, "word": " the", "probability": 0.57958984375}, {"start": 1140.77, "end": 1141.09, "word": " x", "probability": 0.96240234375}, {"start": 1141.09, "end": 1141.25, "word": " is", "probability": 0.65283203125}, {"start": 1141.25, "end": 1141.57, "word": " vertical", "probability": 0.84521484375}, {"start": 1141.57, "end": 1141.99, "word": " on", "probability": 0.662109375}, {"start": 1141.99, "end": 1142.23, "word": " the", "probability": 0.9208984375}, {"start": 1142.23, "end": 1142.47, "word": " surface", "probability": 0.278076171875}, {"start": 1142.47, "end": 1142.73, "word": " of", "probability": 0.96484375}, {"start": 1142.73, "end": 1142.81, "word": " the", "probability": 0.93017578125}, {"start": 1142.81, "end": 1143.13, "word": " desk,", "probability": 0.85546875}, {"start": 1143.25, "end": 1143.57, "word": " vertical", "probability": 0.78564453125}, {"start": 1143.57, "end": 1144.01, "word": " on", "probability": 0.90380859375}, {"start": 1144.01, "end": 1144.39, "word": " the", "probability": 0.9287109375}, {"start": 1144.39, "end": 1144.55, "word": " surface", "probability": 0.50341796875}, {"start": 1144.55, "end": 1144.67, "word": " of", "probability": 0.95751953125}, {"start": 1144.67, "end": 1144.73, "word": " the", "probability": 0.92919921875}, {"start": 1144.73, "end": 1145.01, "word": " desk", "probability": 0.89990234375}, {"start": 1145.01, "end": 1145.25, "word": " or", "probability": 0.78271484375}, {"start": 1145.25, "end": 1145.41, "word": " on", "probability": 0.8330078125}, {"start": 1145.41, "end": 1145.55, "word": " the", "probability": 0.919921875}, {"start": 1145.55, "end": 1145.69, "word": " surface", "probability": 0.43701171875}, {"start": 1145.69, "end": 1145.85, "word": " of", "probability": 0.96630859375}, {"start": 1145.85, "end": 1145.89, "word": " the", "probability": 0.56494140625}, {"start": 1145.89, "end": 1146.13, "word": " paper", "probability": 0.818359375}, {"start": 1146.13, "end": 1146.35, "word": " if", "probability": 0.712890625}, {"start": 1146.35, "end": 1146.63, "word": " we", "probability": 0.92236328125}, {"start": 1146.63, "end": 1146.95, "word": " explain", "probability": 0.54248046875}, {"start": 1146.95, "end": 1147.87, "word": " on", "probability": 0.72705078125}, {"start": 1147.87, "end": 1148.75, "word": " paper,", "probability": 0.640625}, {"start": 1149.07, "end": 1149.29, "word": " that", "probability": 0.275390625}, {"start": 1149.29, "end": 1149.35, "word": " is", "probability": 0.8505859375}, {"start": 1149.35, "end": 1149.65, "word": " written.", "probability": 0.61279296875}, {"start": 1150.19, "end": 1150.37, "word": " I", "probability": 0.52978515625}, {"start": 1150.37, "end": 1150.71, "word": " also", "probability": 0.87646484375}, {"start": 1150.71, "end": 1151.05, "word": " have", "probability": 0.9482421875}, {"start": 1151.05, "end": 1151.67, "word": " y", "probability": 0.38818359375}, {"start": 1151.67, "end": 1152.35, "word": " and", "probability": 0.9404296875}, {"start": 1152.35, "end": 1152.71, "word": " z,", "probability": 0.99560546875}, {"start": 1153.21, "end": 1153.49, "word": " z", "probability": 0.923828125}, {"start": 1153.49, "end": 1153.65, "word": " is", "probability": 0.419677734375}, {"start": 1153.65, "end": 1153.99, "word": " applied", "probability": 0.278076171875}, {"start": 1153.99, "end": 1154.23, "word": " to", "probability": 0.8369140625}, {"start": 1154.23, "end": 1154.31, "word": " the", "probability": 0.89697265625}, {"start": 1154.31, "end": 1154.63, "word": " optical", "probability": 0.943359375}, {"start": 1154.63, "end": 1155.19, "word": " axis", "probability": 0.95849609375}, {"start": 1155.19, "end": 1155.41, "word": " and", "probability": 0.68115234375}, {"start": 1155.41, "end": 1155.69, "word": " y", "probability": 0.83056640625}, {"start": 1155.69, "end": 1155.83, "word": " is", "probability": 0.8828125}, {"start": 1155.83, "end": 1156.13, "word": " vertical", "probability": 0.880859375}, {"start": 1156.13, "end": 1156.71, "word": " but", "probability": 0.4658203125}, {"start": 1156.71, "end": 1157.09, "word": " both", "probability": 0.87158203125}, {"start": 1157.09, "end": 1157.27, "word": " are", "probability": 0.479248046875}, {"start": 1157.27, "end": 1157.35, "word": " on", "probability": 0.89990234375}, {"start": 1157.35, "end": 1157.45, "word": " the", "probability": 0.9296875}, {"start": 1157.45, "end": 1157.61, "word": " surface", "probability": 0.69873046875}, {"start": 1157.61, "end": 1157.75, "word": " of", "probability": 0.96533203125}, {"start": 1157.75, "end": 1157.77, "word": " the", "probability": 0.93017578125}, {"start": 1157.77, "end": 1158.03, "word": " desk", "probability": 0.9072265625}, {"start": 1158.03, "end": 1158.25, "word": " and", "probability": 0.765625}, {"start": 1158.25, "end": 1158.63, "word": " x", "probability": 0.75927734375}, {"start": 1158.63, "end": 1158.97, "word": " is", "probability": 0.83056640625}, {"start": 1158.97, "end": 1159.87, "word": " vertical", "probability": 0.83544921875}, {"start": 1159.87, "end": 1160.17, "word": " on", "probability": 0.91357421875}, {"start": 1160.17, "end": 1160.51, "word": " the", "probability": 0.9306640625}, {"start": 1160.51, "end": 1160.71, "word": " surface", "probability": 0.77587890625}, {"start": 1160.71, "end": 1161.09, "word": " of", "probability": 0.970703125}, {"start": 1161.09, "end": 1161.09, "word": " the", "probability": 0.93408203125}, {"start": 1161.09, "end": 1161.29, "word": " desk.", "probability": 0.9091796875}], "temperature": 1.0}, {"id": 54, "seek": 118949, "start": 1163.33, "end": 1189.49, "text": "an object point is selected and a ray is drawn from the object point to the refracting surface as we draw now we choose an object point let's call it point A point A as we used to draw from point A of the object we draw", "tokens": [282, 2657, 935, 307, 8209, 293, 257, 18592, 307, 10117, 490, 264, 2657, 935, 281, 264, 45353, 278, 3753, 382, 321, 2642, 586, 321, 2826, 364, 2657, 935, 718, 311, 818, 309, 935, 316, 935, 316, 382, 321, 1143, 281, 2642, 490, 935, 316, 295, 264, 2657, 321, 2642], "avg_logprob": -0.4831249886751175, "compression_ratio": 1.7661290322580645, "no_speech_prob": 7.152557373046875e-06, "words": [{"start": 1163.33, "end": 1163.65, "word": "an", "probability": 0.5068359375}, {"start": 1163.65, "end": 1164.15, "word": " object", "probability": 0.9287109375}, {"start": 1164.15, "end": 1164.71, "word": " point", "probability": 0.94287109375}, {"start": 1164.71, "end": 1166.01, "word": " is", "probability": 0.91064453125}, {"start": 1166.01, "end": 1166.61, "word": " selected", "probability": 0.90283203125}, {"start": 1166.61, "end": 1167.33, "word": " and", "probability": 0.81982421875}, {"start": 1167.33, "end": 1167.53, "word": " a", "probability": 0.3642578125}, {"start": 1167.53, "end": 1167.75, "word": " ray", "probability": 0.96728515625}, {"start": 1167.75, "end": 1168.03, "word": " is", "probability": 0.9365234375}, {"start": 1168.03, "end": 1168.43, "word": " drawn", "probability": 0.97021484375}, {"start": 1168.43, "end": 1168.83, "word": " from", "probability": 0.88916015625}, {"start": 1168.83, "end": 1169.05, "word": " the", "probability": 0.85205078125}, {"start": 1169.05, "end": 1169.39, "word": " object", "probability": 0.93701171875}, {"start": 1169.39, "end": 1169.79, "word": " point", "probability": 0.96337890625}, {"start": 1169.79, "end": 1170.01, "word": " to", "probability": 0.95458984375}, {"start": 1170.01, "end": 1170.15, "word": " the", "probability": 0.89892578125}, {"start": 1170.15, "end": 1170.77, "word": " refracting", "probability": 0.896484375}, {"start": 1170.77, "end": 1171.17, "word": " surface", "probability": 0.82373046875}, {"start": 1171.17, "end": 1171.43, "word": " as", "probability": 0.29248046875}, {"start": 1171.43, "end": 1172.31, "word": " we", "probability": 0.78857421875}, {"start": 1172.31, "end": 1172.81, "word": " draw", "probability": 0.08929443359375}, {"start": 1172.81, "end": 1173.37, "word": " now", "probability": 0.305419921875}, {"start": 1173.37, "end": 1173.73, "word": " we", "probability": 0.406005859375}, {"start": 1173.73, "end": 1173.99, "word": " choose", "probability": 0.50537109375}, {"start": 1173.99, "end": 1174.73, "word": " an", "probability": 0.318359375}, {"start": 1174.73, "end": 1175.01, "word": " object", "probability": 0.95458984375}, {"start": 1175.01, "end": 1175.53, "word": " point", "probability": 0.9697265625}, {"start": 1175.53, "end": 1175.83, "word": " let's", "probability": 0.483917236328125}, {"start": 1175.83, "end": 1176.27, "word": " call", "probability": 0.5927734375}, {"start": 1176.27, "end": 1176.43, "word": " it", "probability": 0.87744140625}, {"start": 1176.43, "end": 1176.77, "word": " point", "probability": 0.77587890625}, {"start": 1176.77, "end": 1177.13, "word": " A", "probability": 0.6259765625}, {"start": 1177.13, "end": 1178.83, "word": " point", "probability": 0.274658203125}, {"start": 1178.83, "end": 1179.61, "word": " A", "probability": 0.95654296875}, {"start": 1179.61, "end": 1181.11, "word": " as", "probability": 0.59326171875}, {"start": 1181.11, "end": 1181.31, "word": " we", "probability": 0.8310546875}, {"start": 1181.31, "end": 1181.73, "word": " used", "probability": 0.409912109375}, {"start": 1181.73, "end": 1185.61, "word": " to", "probability": 0.90625}, {"start": 1185.61, "end": 1185.61, "word": " draw", "probability": 0.153564453125}, {"start": 1185.61, "end": 1187.23, "word": " from", "probability": 0.1851806640625}, {"start": 1187.23, "end": 1187.65, "word": " point", "probability": 0.6943359375}, {"start": 1187.65, "end": 1187.95, "word": " A", "probability": 0.974609375}, {"start": 1187.95, "end": 1188.11, "word": " of", "probability": 0.461669921875}, {"start": 1188.11, "end": 1188.23, "word": " the", "probability": 0.4443359375}, {"start": 1188.23, "end": 1188.75, "word": " object", "probability": 0.95849609375}, {"start": 1188.75, "end": 1189.25, "word": " we", "probability": 0.75390625}, {"start": 1189.25, "end": 1189.49, "word": " draw", "probability": 0.599609375}], "temperature": 1.0}, {"id": 55, "seek": 120349, "start": 1196.35, "end": 1203.49, "text": "an object point is selected and a ray is drawn from the object point to the refracting surface", "tokens": [282, 2657, 935, 307, 8209, 293, 257, 18592, 307, 10117, 490, 264, 2657, 935, 281, 264, 45353, 278, 3753], "avg_logprob": -0.33652344197034834, "compression_ratio": 1.2702702702702702, "no_speech_prob": 1.9073486328125e-06, "words": [{"start": 1196.35, "end": 1197.09, "word": "an", "probability": 0.038055419921875}, {"start": 1197.09, "end": 1197.83, "word": " object", "probability": 0.7490234375}, {"start": 1197.83, "end": 1198.31, "word": " point", "probability": 0.92333984375}, {"start": 1198.31, "end": 1198.51, "word": " is", "probability": 0.8837890625}, {"start": 1198.51, "end": 1199.03, "word": " selected", "probability": 0.89501953125}, {"start": 1199.03, "end": 1199.81, "word": " and", "probability": 0.70751953125}, {"start": 1199.81, "end": 1199.99, "word": " a", "probability": 0.46435546875}, {"start": 1199.99, "end": 1200.23, "word": " ray", "probability": 0.9423828125}, {"start": 1200.23, "end": 1200.45, "word": " is", "probability": 0.923828125}, {"start": 1200.45, "end": 1200.81, "word": " drawn", "probability": 0.9765625}, {"start": 1200.81, "end": 1201.09, "word": " from", "probability": 0.8779296875}, {"start": 1201.09, "end": 1201.27, "word": " the", "probability": 0.70947265625}, {"start": 1201.27, "end": 1201.65, "word": " object", "probability": 0.912109375}, {"start": 1201.65, "end": 1202.09, "word": " point", "probability": 0.96533203125}, {"start": 1202.09, "end": 1202.29, "word": " to", "probability": 0.95361328125}, {"start": 1202.29, "end": 1202.47, "word": " the", "probability": 0.85986328125}, {"start": 1202.47, "end": 1203.05, "word": " refracting", "probability": 0.889404296875}, {"start": 1203.05, "end": 1203.49, "word": " surface", "probability": 0.86181640625}], "temperature": 1.0}, {"id": 56, "seek": 121628, "start": 1204.18, "end": 1216.28, "text": "The first difficulty in making an exact ray trace is determining the precise coordinates Y and Z where the ray strikes the refracting surface.", "tokens": [2278, 700, 10360, 294, 1455, 364, 1900, 18592, 13508, 307, 23751, 264, 13600, 21056, 398, 293, 1176, 689, 264, 18592, 16750, 264, 45353, 278, 3753, 13], "avg_logprob": -0.2669270899560716, "compression_ratio": 1.290909090909091, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1204.18, "end": 1204.42, "word": "The", "probability": 0.73974609375}, {"start": 1204.42, "end": 1204.78, "word": " first", "probability": 0.88037109375}, {"start": 1204.78, "end": 1205.38, "word": " difficulty", "probability": 0.712890625}, {"start": 1205.38, "end": 1205.72, "word": " in", "probability": 0.92822265625}, {"start": 1205.72, "end": 1206.1, "word": " making", "probability": 0.90185546875}, {"start": 1206.1, "end": 1206.46, "word": " an", "probability": 0.9501953125}, {"start": 1206.46, "end": 1206.96, "word": " exact", "probability": 0.95751953125}, {"start": 1206.96, "end": 1207.26, "word": " ray", "probability": 0.828125}, {"start": 1207.26, "end": 1207.7, "word": " trace", "probability": 0.8427734375}, {"start": 1207.7, "end": 1208.48, "word": " is", "probability": 0.83642578125}, {"start": 1208.48, "end": 1209.2, "word": " determining", "probability": 0.91455078125}, {"start": 1209.2, "end": 1209.5, "word": " the", "probability": 0.9189453125}, {"start": 1209.5, "end": 1209.98, "word": " precise", "probability": 0.9462890625}, {"start": 1209.98, "end": 1210.86, "word": " coordinates", "probability": 0.48046875}, {"start": 1210.86, "end": 1211.78, "word": " Y", "probability": 0.451904296875}, {"start": 1211.78, "end": 1212.24, "word": " and", "probability": 0.91259765625}, {"start": 1212.24, "end": 1212.56, "word": " Z", "probability": 0.98291015625}, {"start": 1212.56, "end": 1212.9, "word": " where", "probability": 0.85546875}, {"start": 1212.9, "end": 1213.16, "word": " the", "probability": 0.8955078125}, {"start": 1213.16, "end": 1213.34, "word": " ray", "probability": 0.796875}, {"start": 1213.34, "end": 1213.76, "word": " strikes", "probability": 0.85888671875}, {"start": 1213.76, "end": 1213.98, "word": " the", "probability": 0.89599609375}, {"start": 1213.98, "end": 1215.16, "word": " refracting", "probability": 0.822509765625}, {"start": 1215.16, "end": 1216.28, "word": " surface.", "probability": 0.861328125}], "temperature": 1.0}, {"id": 57, "seek": 125033, "start": 1238.06, "end": 1250.34, "text": "The formula for finding the intersection of array with a spherical surface requires fairly complicated calculations involving square roots.", "tokens": [2278, 8513, 337, 5006, 264, 15236, 295, 10225, 365, 257, 37300, 3753, 7029, 6457, 6179, 20448, 17030, 3732, 10669, 13], "avg_logprob": -0.3835565419424148, "compression_ratio": 1.2636363636363637, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 1238.0599999999997, "end": 1239.1999999999998, "word": "The", "probability": 0.0667724609375}, {"start": 1239.1999999999998, "end": 1240.34, "word": " formula", "probability": 0.7998046875}, {"start": 1240.34, "end": 1240.68, "word": " for", "probability": 0.90625}, {"start": 1240.68, "end": 1241.34, "word": " finding", "probability": 0.89111328125}, {"start": 1241.34, "end": 1241.72, "word": " the", "probability": 0.82373046875}, {"start": 1241.72, "end": 1242.4, "word": " intersection", "probability": 0.931640625}, {"start": 1242.4, "end": 1242.78, "word": " of", "probability": 0.9580078125}, {"start": 1242.78, "end": 1243.06, "word": " array", "probability": 0.70458984375}, {"start": 1243.06, "end": 1243.32, "word": " with", "probability": 0.8896484375}, {"start": 1243.32, "end": 1243.48, "word": " a", "probability": 0.498779296875}, {"start": 1243.48, "end": 1243.9, "word": " spherical", "probability": 0.97900390625}, {"start": 1243.9, "end": 1244.46, "word": " surface", "probability": 0.88525390625}, {"start": 1244.46, "end": 1245.68, "word": " requires", "probability": 0.732421875}, {"start": 1245.68, "end": 1246.26, "word": " fairly", "probability": 0.48828125}, {"start": 1246.26, "end": 1247.08, "word": " complicated", "probability": 0.912109375}, {"start": 1247.08, "end": 1248.28, "word": " calculations", "probability": 0.904296875}, {"start": 1248.28, "end": 1249.32, "word": " involving", "probability": 0.86474609375}, {"start": 1249.32, "end": 1249.9, "word": " square", "probability": 0.77001953125}, {"start": 1249.9, "end": 1250.34, "word": " roots.", "probability": 0.755859375}], "temperature": 1.0}, {"id": 58, "seek": 127599, "start": 1254.93, "end": 1275.99, "text": "I want to enter into academic calculations and curriculum, and this complicates the issue, not makes it easier. I mean, it's true that we made it easier. We simplified hundreds of things into two chapters, but still working with two chapters is also a difficult subject and not easy, and science and mathematics need to intervene in this subject.", "tokens": [40, 528, 281, 3242, 666, 7778, 20448, 293, 14302, 11, 293, 341, 16060, 1024, 264, 2734, 11, 406, 1669, 309, 3571, 13, 286, 914, 11, 309, 311, 2074, 300, 321, 1027, 309, 3571, 13, 492, 26335, 6779, 295, 721, 666, 732, 20013, 11, 457, 920, 1364, 365, 732, 20013, 307, 611, 257, 2252, 3983, 293, 406, 1858, 11, 293, 3497, 293, 18666, 643, 281, 30407, 294, 341, 3983, 13], "avg_logprob": -0.6580356895923615, "compression_ratio": 1.6168224299065421, "no_speech_prob": 5.5670738220214844e-05, "words": [{"start": 1254.93, "end": 1255.49, "word": "I", "probability": 0.0667724609375}, {"start": 1255.49, "end": 1256.05, "word": " want", "probability": 0.27685546875}, {"start": 1256.05, "end": 1256.17, "word": " to", "probability": 0.9365234375}, {"start": 1256.17, "end": 1256.47, "word": " enter", "probability": 0.2498779296875}, {"start": 1256.47, "end": 1256.61, "word": " into", "probability": 0.377685546875}, {"start": 1256.61, "end": 1257.47, "word": " academic", "probability": 0.09930419921875}, {"start": 1257.47, "end": 1257.69, "word": " calculations", "probability": 0.451171875}, {"start": 1257.69, "end": 1257.91, "word": " and", "probability": 0.69482421875}, {"start": 1257.91, "end": 1258.55, "word": " curriculum,", "probability": 0.11456298828125}, {"start": 1258.81, "end": 1258.91, "word": " and", "probability": 0.475830078125}, {"start": 1258.91, "end": 1259.07, "word": " this", "probability": 0.62353515625}, {"start": 1259.07, "end": 1260.31, "word": " complicates", "probability": 0.744384765625}, {"start": 1260.31, "end": 1260.49, "word": " the", "probability": 0.61767578125}, {"start": 1260.49, "end": 1260.75, "word": " issue,", "probability": 0.25439453125}, {"start": 1260.97, "end": 1261.09, "word": " not", "probability": 0.7001953125}, {"start": 1261.09, "end": 1261.35, "word": " makes", "probability": 0.2484130859375}, {"start": 1261.35, "end": 1261.65, "word": " it", "probability": 0.92333984375}, {"start": 1261.65, "end": 1261.65, "word": " easier.", "probability": 0.64111328125}, {"start": 1261.99, "end": 1262.13, "word": " I", "probability": 0.297607421875}, {"start": 1262.13, "end": 1262.23, "word": " mean,", "probability": 0.83154296875}, {"start": 1262.35, "end": 1262.61, "word": " it's", "probability": 0.5035400390625}, {"start": 1262.61, "end": 1262.77, "word": " true", "probability": 0.9326171875}, {"start": 1262.77, "end": 1262.99, "word": " that", "probability": 0.77294921875}, {"start": 1262.99, "end": 1262.99, "word": " we", "probability": 0.8984375}, {"start": 1262.99, "end": 1263.33, "word": " made", "probability": 0.669921875}, {"start": 1263.33, "end": 1263.85, "word": " it", "probability": 0.344482421875}, {"start": 1263.85, "end": 1263.85, "word": " easier.", "probability": 0.78173828125}, {"start": 1264.89, "end": 1265.45, "word": " We", "probability": 0.830078125}, {"start": 1265.45, "end": 1265.87, "word": " simplified", "probability": 0.1514892578125}, {"start": 1265.87, "end": 1266.21, "word": " hundreds", "probability": 0.6826171875}, {"start": 1266.21, "end": 1266.43, "word": " of", "probability": 0.96337890625}, {"start": 1266.43, "end": 1266.73, "word": " things", "probability": 0.73388671875}, {"start": 1266.73, "end": 1266.95, "word": " into", "probability": 0.367431640625}, {"start": 1266.95, "end": 1267.05, "word": " two", "probability": 0.76171875}, {"start": 1267.05, "end": 1267.33, "word": " chapters,", "probability": 0.1658935546875}, {"start": 1267.61, "end": 1267.77, "word": " but", "probability": 0.9052734375}, {"start": 1267.77, "end": 1268.23, "word": " still", "probability": 0.6826171875}, {"start": 1268.23, "end": 1268.63, "word": " working", "probability": 0.75537109375}, {"start": 1268.63, "end": 1268.91, "word": " with", "probability": 0.81103515625}, {"start": 1268.91, "end": 1269.59, "word": " two", "probability": 0.56201171875}, {"start": 1269.59, "end": 1269.59, "word": " chapters", "probability": 0.96337890625}, {"start": 1269.59, "end": 1270.25, "word": " is", "probability": 0.8203125}, {"start": 1270.25, "end": 1270.47, "word": " also", "probability": 0.474609375}, {"start": 1270.47, "end": 1270.89, "word": " a", "probability": 0.72021484375}, {"start": 1270.89, "end": 1271.21, "word": " difficult", "probability": 0.81298828125}, {"start": 1271.21, "end": 1271.21, "word": " subject", "probability": 0.33642578125}, {"start": 1271.21, "end": 1271.43, "word": " and", "probability": 0.44580078125}, {"start": 1271.43, "end": 1271.61, "word": " not", "probability": 0.90380859375}, {"start": 1271.61, "end": 1272.11, "word": " easy,", "probability": 0.78759765625}, {"start": 1272.49, "end": 1272.67, "word": " and", "probability": 0.8955078125}, {"start": 1272.67, "end": 1273.65, "word": " science", "probability": 0.1781005859375}, {"start": 1273.65, "end": 1273.85, "word": " and", "probability": 0.6689453125}, {"start": 1273.85, "end": 1274.21, "word": " mathematics", "probability": 0.6484375}, {"start": 1274.21, "end": 1274.21, "word": " need", "probability": 0.2178955078125}, {"start": 1274.21, "end": 1274.21, "word": " to", "probability": 0.9072265625}, {"start": 1274.21, "end": 1274.21, "word": " intervene", "probability": 0.6240234375}, {"start": 1274.21, "end": 1274.53, "word": " in", "probability": 0.82080078125}, {"start": 1274.53, "end": 1274.85, "word": " this", "probability": 0.92578125}, {"start": 1274.85, "end": 1275.99, "word": " subject.", "probability": 0.266357421875}], "temperature": 1.0}, {"id": 59, "seek": 128973, "start": 1278.65, "end": 1289.73, "text": "Instead of tracing a ray through an optical system, it is easier to deal with rays extremely close to the optical axis, so-called paraxial ray", "tokens": [28411, 2056, 295, 25262, 257, 18592, 807, 364, 20674, 1185, 11, 309, 307, 3571, 281, 2028, 365, 24417, 4664, 1998, 281, 264, 20674, 10298, 11, 370, 12, 11880, 1690, 87, 831, 18592], "avg_logprob": -0.20833333333333334, "compression_ratio": 1.3148148148148149, "no_speech_prob": 0.64892578125, "words": [{"start": 1278.65, "end": 1279.33, "word": "Instead", "probability": 0.707275390625}, {"start": 1279.33, "end": 1279.53, "word": " of", "probability": 0.96826171875}, {"start": 1279.53, "end": 1280.05, "word": " tracing", "probability": 0.9345703125}, {"start": 1280.05, "end": 1280.45, "word": " a", "probability": 0.91845703125}, {"start": 1280.45, "end": 1280.57, "word": " ray", "probability": 0.95849609375}, {"start": 1280.57, "end": 1280.85, "word": " through", "probability": 0.8837890625}, {"start": 1280.85, "end": 1281.19, "word": " an", "probability": 0.91650390625}, {"start": 1281.19, "end": 1281.61, "word": " optical", "probability": 0.94677734375}, {"start": 1281.61, "end": 1282.19, "word": " system,", "probability": 0.9375}, {"start": 1282.35, "end": 1282.45, "word": " it", "probability": 0.94873046875}, {"start": 1282.45, "end": 1282.69, "word": " is", "probability": 0.86181640625}, {"start": 1282.69, "end": 1283.21, "word": " easier", "probability": 0.97265625}, {"start": 1283.21, "end": 1283.45, "word": " to", "probability": 0.97216796875}, {"start": 1283.45, "end": 1283.69, "word": " deal", "probability": 0.974609375}, {"start": 1283.69, "end": 1283.97, "word": " with", "probability": 0.908203125}, {"start": 1283.97, "end": 1284.35, "word": " rays", "probability": 0.9384765625}, {"start": 1284.35, "end": 1285.15, "word": " extremely", "probability": 0.74560546875}, {"start": 1285.15, "end": 1285.77, "word": " close", "probability": 0.8837890625}, {"start": 1285.77, "end": 1286.35, "word": " to", "probability": 0.97216796875}, {"start": 1286.35, "end": 1286.53, "word": " the", "probability": 0.90625}, {"start": 1286.53, "end": 1286.93, "word": " optical", "probability": 0.93896484375}, {"start": 1286.93, "end": 1287.49, "word": " axis,", "probability": 0.93505859375}, {"start": 1287.79, "end": 1288.09, "word": " so", "probability": 0.75927734375}, {"start": 1288.09, "end": 1288.61, "word": "-called", "probability": 0.85791015625}, {"start": 1288.61, "end": 1289.49, "word": " paraxial", "probability": 0.6446940104166666}, {"start": 1289.49, "end": 1289.73, "word": " ray", "probability": 0.51953125}], "temperature": 1.0}, {"id": 60, "seek": 133208, "start": 1308.74, "end": 1332.08, "text": "Well, why did they choose the rays adjacent to the optical axis and ignore the rays away from the optical axis because there is a feature of the rays which is close to the optical axis? Let's see this amount of rays coming out of one object point, let's look at the upper drawing", "tokens": [6271, 11, 983, 630, 436, 2826, 264, 24417, 24441, 281, 264, 20674, 10298, 293, 11200, 264, 24417, 1314, 490, 264, 20674, 10298, 570, 456, 307, 257, 4111, 295, 264, 24417, 597, 307, 1998, 281, 264, 20674, 10298, 30, 961, 311, 536, 341, 2372, 295, 24417, 1348, 484, 295, 472, 2657, 935, 11, 718, 311, 574, 412, 264, 6597, 6316], "avg_logprob": -0.497135387857755, "compression_ratio": 1.701219512195122, "no_speech_prob": 1.9669532775878906e-06, "words": [{"start": 1308.74, "end": 1309.24, "word": "Well,", "probability": 0.0775146484375}, {"start": 1309.28, "end": 1309.66, "word": " why", "probability": 0.892578125}, {"start": 1309.66, "end": 1309.96, "word": " did", "probability": 0.677734375}, {"start": 1309.96, "end": 1310.12, "word": " they", "probability": 0.90478515625}, {"start": 1310.12, "end": 1311.4, "word": " choose", "probability": 0.64208984375}, {"start": 1311.4, "end": 1311.6, "word": " the", "probability": 0.53466796875}, {"start": 1311.6, "end": 1311.98, "word": " rays", "probability": 0.47021484375}, {"start": 1311.98, "end": 1312.68, "word": " adjacent", "probability": 0.172607421875}, {"start": 1312.68, "end": 1312.86, "word": " to", "probability": 0.96728515625}, {"start": 1312.86, "end": 1312.96, "word": " the", "probability": 0.90869140625}, {"start": 1312.96, "end": 1313.28, "word": " optical", "probability": 0.89599609375}, {"start": 1313.28, "end": 1313.88, "word": " axis", "probability": 0.958984375}, {"start": 1313.88, "end": 1314.82, "word": " and", "probability": 0.68603515625}, {"start": 1314.82, "end": 1315.34, "word": " ignore", "probability": 0.269775390625}, {"start": 1315.34, "end": 1315.62, "word": " the", "probability": 0.62939453125}, {"start": 1315.62, "end": 1316.2, "word": " rays", "probability": 0.841796875}, {"start": 1316.2, "end": 1317.16, "word": " away", "probability": 0.533203125}, {"start": 1317.16, "end": 1317.58, "word": " from", "probability": 0.88330078125}, {"start": 1317.58, "end": 1317.7, "word": " the", "probability": 0.90576171875}, {"start": 1317.7, "end": 1318.08, "word": " optical", "probability": 0.91650390625}, {"start": 1318.08, "end": 1318.68, "word": " axis", "probability": 0.97119140625}, {"start": 1318.68, "end": 1319.38, "word": " because", "probability": 0.404296875}, {"start": 1319.38, "end": 1319.76, "word": " there", "probability": 0.85546875}, {"start": 1319.76, "end": 1319.8, "word": " is", "probability": 0.6884765625}, {"start": 1319.8, "end": 1319.9, "word": " a", "probability": 0.9296875}, {"start": 1319.9, "end": 1320.16, "word": " feature", "probability": 0.34912109375}, {"start": 1320.16, "end": 1320.38, "word": " of", "probability": 0.7080078125}, {"start": 1320.38, "end": 1320.44, "word": " the", "probability": 0.62890625}, {"start": 1320.44, "end": 1320.94, "word": " rays", "probability": 0.90185546875}, {"start": 1320.94, "end": 1321.56, "word": " which", "probability": 0.333740234375}, {"start": 1321.56, "end": 1321.86, "word": " is", "probability": 0.7421875}, {"start": 1321.86, "end": 1322.32, "word": " close", "probability": 0.65283203125}, {"start": 1322.32, "end": 1322.86, "word": " to", "probability": 0.9599609375}, {"start": 1322.86, "end": 1323.14, "word": " the", "probability": 0.9130859375}, {"start": 1323.14, "end": 1323.56, "word": " optical", "probability": 0.94970703125}, {"start": 1323.56, "end": 1324.48, "word": " axis?", "probability": 0.9619140625}, {"start": 1324.8, "end": 1325.28, "word": " Let's", "probability": 0.755859375}, {"start": 1325.28, "end": 1325.68, "word": " see", "probability": 0.77685546875}, {"start": 1325.68, "end": 1326.18, "word": " this", "probability": 0.27587890625}, {"start": 1326.18, "end": 1326.62, "word": " amount", "probability": 0.437744140625}, {"start": 1326.62, "end": 1326.92, "word": " of", "probability": 0.96923828125}, {"start": 1326.92, "end": 1327.42, "word": " rays", "probability": 0.921875}, {"start": 1327.42, "end": 1328.46, "word": " coming", "probability": 0.271728515625}, {"start": 1328.46, "end": 1328.66, "word": " out", "probability": 0.53564453125}, {"start": 1328.66, "end": 1328.78, "word": " of", "probability": 0.82373046875}, {"start": 1328.78, "end": 1329.2, "word": " one", "probability": 0.7158203125}, {"start": 1329.2, "end": 1329.4, "word": " object", "probability": 0.6962890625}, {"start": 1329.4, "end": 1330.46, "word": " point,", "probability": 0.92919921875}, {"start": 1330.98, "end": 1331.14, "word": " let's", "probability": 0.56414794921875}, {"start": 1331.14, "end": 1331.36, "word": " look", "probability": 0.685546875}, {"start": 1331.36, "end": 1331.48, "word": " at", "probability": 0.92822265625}, {"start": 1331.48, "end": 1331.54, "word": " the", "probability": 0.86083984375}, {"start": 1331.54, "end": 1332.08, "word": " upper", "probability": 0.37353515625}, {"start": 1332.08, "end": 1332.08, "word": " drawing", "probability": 0.294189453125}], "temperature": 1.0}, {"id": 61, "seek": 134689, "start": 1333.61, "end": 1346.89, "text": "الرسمة العليا هنا الـ Paraxial region يعني هذه المنطقة بتشمل الأشعة الـ Paraxial rays يعني الأشعة المجاورة للـ optical axis", "tokens": [6027, 2288, 38251, 3660, 18863, 20292, 995, 34105, 2423, 39184, 3457, 2797, 831, 4458, 37495, 22653, 29538, 9673, 1863, 9566, 28671, 39894, 8592, 42213, 16247, 8592, 27884, 2423, 39184, 3457, 2797, 831, 24417, 37495, 22653, 16247, 8592, 27884, 9673, 7435, 995, 13063, 3660, 24976, 39184, 20674, 10298], "avg_logprob": -0.20947265407691398, "compression_ratio": 1.4179104477611941, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 1333.61, "end": 1334.19, "word": "الرسمة", "probability": 0.9405517578125}, {"start": 1334.19, "end": 1334.93, "word": " العليا", "probability": 0.7666015625}, {"start": 1334.93, "end": 1335.41, "word": " هنا", "probability": 0.4697265625}, {"start": 1335.41, "end": 1335.79, "word": " الـ", "probability": 0.76416015625}, {"start": 1335.79, "end": 1336.55, "word": " Paraxial", "probability": 0.7108561197916666}, {"start": 1336.55, "end": 1337.05, "word": " region", "probability": 0.67236328125}, {"start": 1337.05, "end": 1337.67, "word": " يعني", "probability": 0.710205078125}, {"start": 1337.67, "end": 1337.89, "word": " هذه", "probability": 0.7724609375}, {"start": 1337.89, "end": 1338.57, "word": " المنطقة", "probability": 0.986572265625}, {"start": 1338.57, "end": 1339.55, "word": " بتشمل", "probability": 0.8933919270833334}, {"start": 1339.55, "end": 1340.11, "word": " الأشعة", "probability": 0.8087565104166666}, {"start": 1340.11, "end": 1340.31, "word": " الـ", "probability": 0.85791015625}, {"start": 1340.31, "end": 1341.11, "word": " Paraxial", "probability": 0.8091634114583334}, {"start": 1341.11, "end": 1341.53, "word": " rays", "probability": 0.79150390625}, {"start": 1341.53, "end": 1342.25, "word": " يعني", "probability": 0.822509765625}, {"start": 1342.25, "end": 1342.77, "word": " الأشعة", "probability": 0.98974609375}, {"start": 1342.77, "end": 1343.53, "word": " المجاورة", "probability": 0.99189453125}, {"start": 1343.53, "end": 1343.75, "word": " للـ", "probability": 0.72216796875}, {"start": 1343.75, "end": 1344.11, "word": " optical", "probability": 0.65771484375}, {"start": 1344.11, "end": 1346.89, "word": " axis", "probability": 0.9189453125}], "temperature": 1.0}, {"id": 62, "seek": 137153, "start": 1347.97, "end": 1371.53, "text": "while this distant area and this distant area is considered peripheral rays or non-paraxial region Why did scientists say that we should ignore peripheral rays and shorten our studies to reach the rest of the image characteristics on the paraxial ray because there is a feature of the paraxial ray", "tokens": [7723, 341, 17275, 1859, 293, 341, 17275, 1859, 307, 4888, 40235, 24417, 420, 2107, 12, 2181, 2797, 831, 4458, 1545, 630, 7708, 584, 300, 321, 820, 11200, 40235, 24417, 293, 39632, 527, 5313, 281, 2524, 264, 1472, 295, 264, 3256, 10891, 322, 264, 1690, 87, 831, 18592, 570, 456, 307, 257, 4111, 295, 264, 1690, 87, 831, 18592], "avg_logprob": -0.4676906880685839, "compression_ratio": 1.757396449704142, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1347.9699999999998, "end": 1348.61, "word": "while", "probability": 0.3447265625}, {"start": 1348.61, "end": 1349.03, "word": " this", "probability": 0.83447265625}, {"start": 1349.03, "end": 1350.75, "word": " distant", "probability": 0.2484130859375}, {"start": 1350.75, "end": 1350.79, "word": " area", "probability": 0.402099609375}, {"start": 1350.79, "end": 1351.27, "word": " and", "probability": 0.580078125}, {"start": 1351.27, "end": 1351.49, "word": " this", "probability": 0.853515625}, {"start": 1351.49, "end": 1352.27, "word": " distant", "probability": 0.76123046875}, {"start": 1352.27, "end": 1352.37, "word": " area", "probability": 0.81787109375}, {"start": 1352.37, "end": 1352.55, "word": " is", "probability": 0.505859375}, {"start": 1352.55, "end": 1353.21, "word": " considered", "probability": 0.6357421875}, {"start": 1353.21, "end": 1353.87, "word": " peripheral", "probability": 0.7724609375}, {"start": 1353.87, "end": 1354.43, "word": " rays", "probability": 0.92724609375}, {"start": 1354.43, "end": 1354.71, "word": " or", "probability": 0.91796875}, {"start": 1354.71, "end": 1355.03, "word": " non", "probability": 0.9384765625}, {"start": 1355.03, "end": 1355.91, "word": "-paraxial", "probability": 0.7578125}, {"start": 1355.91, "end": 1356.67, "word": " region", "probability": 0.83447265625}, {"start": 1356.67, "end": 1357.23, "word": " Why", "probability": 0.408203125}, {"start": 1357.23, "end": 1357.29, "word": " did", "probability": 0.5029296875}, {"start": 1357.29, "end": 1357.67, "word": " scientists", "probability": 0.59716796875}, {"start": 1357.67, "end": 1357.95, "word": " say", "probability": 0.64306640625}, {"start": 1357.95, "end": 1358.09, "word": " that", "probability": 0.68994140625}, {"start": 1358.09, "end": 1358.27, "word": " we", "probability": 0.9345703125}, {"start": 1358.27, "end": 1358.57, "word": " should", "probability": 0.47265625}, {"start": 1358.57, "end": 1359.03, "word": " ignore", "probability": 0.56640625}, {"start": 1359.03, "end": 1359.95, "word": " peripheral", "probability": 0.7724609375}, {"start": 1359.95, "end": 1360.49, "word": " rays", "probability": 0.92041015625}, {"start": 1360.49, "end": 1361.19, "word": " and", "probability": 0.6572265625}, {"start": 1361.19, "end": 1361.67, "word": " shorten", "probability": 0.1312255859375}, {"start": 1361.67, "end": 1361.91, "word": " our", "probability": 0.88671875}, {"start": 1361.91, "end": 1362.31, "word": " studies", "probability": 0.442626953125}, {"start": 1362.31, "end": 1362.83, "word": " to", "probability": 0.70361328125}, {"start": 1362.83, "end": 1363.25, "word": " reach", "probability": 0.61865234375}, {"start": 1363.25, "end": 1363.49, "word": " the", "probability": 0.392333984375}, {"start": 1363.49, "end": 1363.63, "word": " rest", "probability": 0.7158203125}, {"start": 1363.63, "end": 1363.77, "word": " of", "probability": 0.97021484375}, {"start": 1363.77, "end": 1364.27, "word": " the", "probability": 0.447265625}, {"start": 1364.27, "end": 1364.55, "word": " image", "probability": 0.34619140625}, {"start": 1364.55, "end": 1364.57, "word": " characteristics", "probability": 0.2890625}, {"start": 1364.57, "end": 1365.29, "word": " on", "probability": 0.50634765625}, {"start": 1365.29, "end": 1365.45, "word": " the", "probability": 0.72705078125}, {"start": 1365.45, "end": 1366.23, "word": " paraxial", "probability": 0.8470052083333334}, {"start": 1366.23, "end": 1366.43, "word": " ray", "probability": 0.89306640625}, {"start": 1366.43, "end": 1366.67, "word": " because", "probability": 0.29736328125}, {"start": 1366.67, "end": 1366.95, "word": " there", "probability": 0.84375}, {"start": 1366.95, "end": 1367.03, "word": " is", "probability": 0.79833984375}, {"start": 1367.03, "end": 1367.23, "word": " a", "probability": 0.84228515625}, {"start": 1367.23, "end": 1367.39, "word": " feature", "probability": 0.28369140625}, {"start": 1367.39, "end": 1367.59, "word": " of", "probability": 0.70361328125}, {"start": 1367.59, "end": 1367.71, "word": " the", "probability": 0.78369140625}, {"start": 1367.71, "end": 1370.91, "word": " paraxial", "probability": 0.9176432291666666}, {"start": 1370.91, "end": 1371.53, "word": " ray", "probability": 0.9404296875}], "temperature": 1.0}, {"id": 63, "seek": 137755, "start": 1372.85, "end": 1377.55, "text": "Here I have the para axial rays in another picture", "tokens": [17685, 286, 362, 264, 1690, 46851, 24417, 294, 1071, 3036], "avg_logprob": -0.8991477164355192, "compression_ratio": 0.8928571428571429, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 1372.85, "end": 1373.15, "word": "Here", "probability": 0.053619384765625}, {"start": 1373.15, "end": 1373.41, "word": " I", "probability": 0.56103515625}, {"start": 1373.41, "end": 1374.11, "word": " have", "probability": 0.84326171875}, {"start": 1374.11, "end": 1374.29, "word": " the", "probability": 0.29248046875}, {"start": 1374.29, "end": 1374.55, "word": " para", "probability": 0.443115234375}, {"start": 1374.55, "end": 1374.95, "word": " axial", "probability": 0.5302734375}, {"start": 1374.95, "end": 1375.37, "word": " rays", "probability": 0.8046875}, {"start": 1375.37, "end": 1375.65, "word": " in", "probability": 0.83984375}, {"start": 1375.65, "end": 1377.11, "word": " another", "probability": 0.66015625}, {"start": 1377.11, "end": 1377.55, "word": " picture", "probability": 0.515625}], "temperature": 1.0}, {"id": 64, "seek": 141040, "start": 1386.86, "end": 1410.4, "text": "Peripheral ray Here, para axial ray is parallel to the optical axis And here, peripheral ray is far from the optical axis You can say that it is parallel to this point, to the tipping point This is not called, to call it para axial ray, the beam must be parallel to the length of the line Not necessarily parallel, it can be parallel to the optical axis Or it can have a slight angle between them", "tokens": [47, 16310, 79, 511, 304, 18592, 1692, 11, 1690, 46851, 18592, 307, 8952, 281, 264, 20674, 10298, 400, 510, 11, 40235, 18592, 307, 1400, 490, 264, 20674, 10298, 509, 393, 584, 300, 309, 307, 8952, 281, 341, 935, 11, 281, 264, 41625, 935, 639, 307, 406, 1219, 11, 281, 818, 309, 1690, 46851, 18592, 11, 264, 14269, 1633, 312, 8952, 281, 264, 4641, 295, 264, 1622, 1726, 4725, 8952, 11, 309, 393, 312, 8952, 281, 264, 20674, 10298, 1610, 309, 393, 362, 257, 4036, 5802, 1296, 552], "avg_logprob": -0.4914772662926804, "compression_ratio": 2.020408163265306, "no_speech_prob": 1.4066696166992188e-05, "words": [{"start": 1386.86, "end": 1387.32, "word": "Peripheral", "probability": 0.65955810546875}, {"start": 1387.32, "end": 1387.64, "word": " ray", "probability": 0.76708984375}, {"start": 1387.64, "end": 1388.4, "word": " Here,", "probability": 0.0933837890625}, {"start": 1388.46, "end": 1388.74, "word": " para", "probability": 0.1805419921875}, {"start": 1388.74, "end": 1389.12, "word": " axial", "probability": 0.57958984375}, {"start": 1389.12, "end": 1389.46, "word": " ray", "probability": 0.95263671875}, {"start": 1389.46, "end": 1389.64, "word": " is", "probability": 0.452880859375}, {"start": 1389.64, "end": 1390.0, "word": " parallel", "probability": 0.1298828125}, {"start": 1390.0, "end": 1390.2, "word": " to", "probability": 0.943359375}, {"start": 1390.2, "end": 1390.32, "word": " the", "probability": 0.68798828125}, {"start": 1390.32, "end": 1390.68, "word": " optical", "probability": 0.84228515625}, {"start": 1390.68, "end": 1391.24, "word": " axis", "probability": 0.96484375}, {"start": 1391.24, "end": 1391.72, "word": " And", "probability": 0.28466796875}, {"start": 1391.72, "end": 1391.92, "word": " here,", "probability": 0.76904296875}, {"start": 1391.98, "end": 1392.4, "word": " peripheral", "probability": 0.82763671875}, {"start": 1392.4, "end": 1392.9, "word": " ray", "probability": 0.95068359375}, {"start": 1392.9, "end": 1393.12, "word": " is", "probability": 0.74560546875}, {"start": 1393.12, "end": 1393.26, "word": " far", "probability": 0.56787109375}, {"start": 1393.26, "end": 1393.48, "word": " from", "probability": 0.5908203125}, {"start": 1393.48, "end": 1393.6, "word": " the", "probability": 0.8720703125}, {"start": 1393.6, "end": 1393.94, "word": " optical", "probability": 0.921875}, {"start": 1393.94, "end": 1394.36, "word": " axis", "probability": 0.962890625}, {"start": 1394.36, "end": 1394.46, "word": " You", "probability": 0.27001953125}, {"start": 1394.46, "end": 1394.62, "word": " can", "probability": 0.71337890625}, {"start": 1394.62, "end": 1394.96, "word": " say", "probability": 0.5673828125}, {"start": 1394.96, "end": 1395.08, "word": " that", "probability": 0.4072265625}, {"start": 1395.08, "end": 1395.2, "word": " it", "probability": 0.748046875}, {"start": 1395.2, "end": 1395.28, "word": " is", "probability": 0.80322265625}, {"start": 1395.28, "end": 1395.64, "word": " parallel", "probability": 0.7890625}, {"start": 1395.64, "end": 1395.86, "word": " to", "probability": 0.72607421875}, {"start": 1395.86, "end": 1395.96, "word": " this", "probability": 0.779296875}, {"start": 1395.96, "end": 1396.28, "word": " point,", "probability": 0.876953125}, {"start": 1396.48, "end": 1396.56, "word": " to", "probability": 0.33056640625}, {"start": 1396.56, "end": 1397.08, "word": " the", "probability": 0.58056640625}, {"start": 1397.08, "end": 1397.34, "word": " tipping", "probability": 0.1455078125}, {"start": 1397.34, "end": 1397.52, "word": " point", "probability": 0.97607421875}, {"start": 1397.52, "end": 1398.14, "word": " This", "probability": 0.52734375}, {"start": 1398.14, "end": 1398.2, "word": " is", "probability": 0.6884765625}, {"start": 1398.2, "end": 1398.3, "word": " not", "probability": 0.87060546875}, {"start": 1398.3, "end": 1398.64, "word": " called,", "probability": 0.67236328125}, {"start": 1398.72, "end": 1398.94, "word": " to", "probability": 0.55859375}, {"start": 1398.94, "end": 1399.38, "word": " call", "probability": 0.7705078125}, {"start": 1399.38, "end": 1399.54, "word": " it", "probability": 0.88671875}, {"start": 1399.54, "end": 1399.76, "word": " para", "probability": 0.481201171875}, {"start": 1399.76, "end": 1400.22, "word": " axial", "probability": 0.87353515625}, {"start": 1400.22, "end": 1400.6, "word": " ray,", "probability": 0.9375}, {"start": 1400.8, "end": 1401.28, "word": " the", "probability": 0.6806640625}, {"start": 1401.28, "end": 1401.56, "word": " beam", "probability": 0.496826171875}, {"start": 1401.56, "end": 1401.8, "word": " must", "probability": 0.68701171875}, {"start": 1401.8, "end": 1402.02, "word": " be", "probability": 0.94482421875}, {"start": 1402.02, "end": 1402.5, "word": " parallel", "probability": 0.9052734375}, {"start": 1402.5, "end": 1402.8, "word": " to", "probability": 0.406005859375}, {"start": 1402.8, "end": 1402.98, "word": " the", "probability": 0.85888671875}, {"start": 1402.98, "end": 1403.18, "word": " length", "probability": 0.417236328125}, {"start": 1403.18, "end": 1403.28, "word": " of", "probability": 0.96533203125}, {"start": 1403.28, "end": 1403.38, "word": " the", "probability": 0.90576171875}, {"start": 1403.38, "end": 1403.74, "word": " line", "probability": 0.90869140625}, {"start": 1403.74, "end": 1404.2, "word": " Not", "probability": 0.650390625}, {"start": 1404.2, "end": 1404.56, "word": " necessarily", "probability": 0.5595703125}, {"start": 1404.56, "end": 1405.08, "word": " parallel,", "probability": 0.424072265625}, {"start": 1405.18, "end": 1405.3, "word": " it", "probability": 0.73291015625}, {"start": 1405.3, "end": 1405.54, "word": " can", "probability": 0.8017578125}, {"start": 1405.54, "end": 1405.8, "word": " be", "probability": 0.9208984375}, {"start": 1405.8, "end": 1406.18, "word": " parallel", "probability": 0.8759765625}, {"start": 1406.18, "end": 1406.34, "word": " to", "probability": 0.96875}, {"start": 1406.34, "end": 1406.48, "word": " the", "probability": 0.91357421875}, {"start": 1406.48, "end": 1406.86, "word": " optical", "probability": 0.953125}, {"start": 1406.86, "end": 1407.48, "word": " axis", "probability": 0.96630859375}, {"start": 1407.48, "end": 1408.4, "word": " Or", "probability": 0.80224609375}, {"start": 1408.4, "end": 1408.6, "word": " it", "probability": 0.49755859375}, {"start": 1408.6, "end": 1408.78, "word": " can", "probability": 0.73681640625}, {"start": 1408.78, "end": 1409.52, "word": " have", "probability": 0.409423828125}, {"start": 1409.52, "end": 1409.92, "word": " a", "probability": 0.7158203125}, {"start": 1409.92, "end": 1410.1, "word": " slight", "probability": 0.413330078125}, {"start": 1410.1, "end": 1410.28, "word": " angle", "probability": 0.84521484375}, {"start": 1410.28, "end": 1410.4, "word": " between", "probability": 0.8671875}, {"start": 1410.4, "end": 1410.4, "word": " them", "probability": 0.89013671875}], "temperature": 1.0}, {"id": 65, "seek": 142656, "start": 1412.12, "end": 1426.56, "text": "means not parallel, but adjacent to it and adjacent to it and adjacent to it along the line from the starting point until it reaches the optical system if it starts adjacent to the optical axis and then goes away, this is called peripheral ray if I have an extended object", "tokens": [1398, 599, 406, 8952, 11, 457, 24441, 281, 309, 293, 24441, 281, 309, 293, 24441, 281, 309, 2051, 264, 1622, 490, 264, 2891, 935, 1826, 309, 14235, 264, 20674, 1185, 498, 309, 3719, 24441, 281, 264, 20674, 10298, 293, 550, 1709, 1314, 11, 341, 307, 1219, 40235, 18592, 498, 286, 362, 364, 10913, 2657], "avg_logprob": -0.41647726405750624, "compression_ratio": 1.7548387096774194, "no_speech_prob": 3.337860107421875e-06, "words": [{"start": 1412.12, "end": 1412.56, "word": "means", "probability": 0.55712890625}, {"start": 1412.56, "end": 1412.56, "word": " not", "probability": 0.273193359375}, {"start": 1412.56, "end": 1412.98, "word": " parallel,", "probability": 0.270751953125}, {"start": 1413.16, "end": 1413.38, "word": " but", "probability": 0.830078125}, {"start": 1413.38, "end": 1413.98, "word": " adjacent", "probability": 0.55224609375}, {"start": 1413.98, "end": 1414.18, "word": " to", "probability": 0.70068359375}, {"start": 1414.18, "end": 1414.28, "word": " it", "probability": 0.71142578125}, {"start": 1414.28, "end": 1414.5, "word": " and", "probability": 0.39794921875}, {"start": 1414.5, "end": 1414.9, "word": " adjacent", "probability": 0.4873046875}, {"start": 1414.9, "end": 1415.12, "word": " to", "probability": 0.8642578125}, {"start": 1415.12, "end": 1415.3, "word": " it", "probability": 0.9326171875}, {"start": 1415.3, "end": 1415.36, "word": " and", "probability": 0.76513671875}, {"start": 1415.36, "end": 1415.7, "word": " adjacent", "probability": 0.28759765625}, {"start": 1415.7, "end": 1415.9, "word": " to", "probability": 0.95361328125}, {"start": 1415.9, "end": 1416.0, "word": " it", "probability": 0.89599609375}, {"start": 1416.0, "end": 1416.18, "word": " along", "probability": 0.53662109375}, {"start": 1416.18, "end": 1416.54, "word": " the", "probability": 0.75244140625}, {"start": 1416.54, "end": 1416.76, "word": " line", "probability": 0.86962890625}, {"start": 1416.76, "end": 1416.94, "word": " from", "probability": 0.64990234375}, {"start": 1416.94, "end": 1417.04, "word": " the", "probability": 0.81884765625}, {"start": 1417.04, "end": 1417.66, "word": " starting", "probability": 0.5390625}, {"start": 1417.66, "end": 1417.9, "word": " point", "probability": 0.97607421875}, {"start": 1417.9, "end": 1418.18, "word": " until", "probability": 0.30322265625}, {"start": 1418.18, "end": 1418.54, "word": " it", "probability": 0.3896484375}, {"start": 1418.54, "end": 1418.86, "word": " reaches", "probability": 0.76171875}, {"start": 1418.86, "end": 1419.1, "word": " the", "probability": 0.83544921875}, {"start": 1419.1, "end": 1419.44, "word": " optical", "probability": 0.94482421875}, {"start": 1419.44, "end": 1420.02, "word": " system", "probability": 0.94189453125}, {"start": 1420.02, "end": 1420.6, "word": " if", "probability": 0.482177734375}, {"start": 1420.6, "end": 1420.74, "word": " it", "probability": 0.76220703125}, {"start": 1420.74, "end": 1420.94, "word": " starts", "probability": 0.4482421875}, {"start": 1420.94, "end": 1421.56, "word": " adjacent", "probability": 0.759765625}, {"start": 1421.56, "end": 1421.76, "word": " to", "probability": 0.9677734375}, {"start": 1421.76, "end": 1421.86, "word": " the", "probability": 0.8935546875}, {"start": 1421.86, "end": 1422.24, "word": " optical", "probability": 0.92822265625}, {"start": 1422.24, "end": 1422.7, "word": " axis", "probability": 0.9560546875}, {"start": 1422.7, "end": 1422.86, "word": " and", "probability": 0.80078125}, {"start": 1422.86, "end": 1423.16, "word": " then", "probability": 0.7421875}, {"start": 1423.16, "end": 1423.32, "word": " goes", "probability": 0.2042236328125}, {"start": 1423.32, "end": 1423.48, "word": " away,", "probability": 0.81005859375}, {"start": 1423.54, "end": 1423.66, "word": " this", "probability": 0.72900390625}, {"start": 1423.66, "end": 1423.78, "word": " is", "probability": 0.919921875}, {"start": 1423.78, "end": 1424.08, "word": " called", "probability": 0.87451171875}, {"start": 1424.08, "end": 1424.56, "word": " peripheral", "probability": 0.75390625}, {"start": 1424.56, "end": 1424.94, "word": " ray", "probability": 0.775390625}, {"start": 1424.94, "end": 1425.54, "word": " if", "probability": 0.56884765625}, {"start": 1425.54, "end": 1425.76, "word": " I", "probability": 0.9306640625}, {"start": 1425.76, "end": 1426.0, "word": " have", "probability": 0.92919921875}, {"start": 1426.0, "end": 1426.1, "word": " an", "probability": 0.810546875}, {"start": 1426.1, "end": 1426.1, "word": " extended", "probability": 0.68310546875}, {"start": 1426.1, "end": 1426.56, "word": " object", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 66, "seek": 144363, "start": 1427.67, "end": 1443.63, "text": "I mean for example a candle or something and it took a point from the top of the candle and one of the candles started from A and reached and hit the optical system in the lens near the optical axis which is also not called adjacent because it is ..", "tokens": [40, 914, 337, 1365, 257, 17968, 420, 746, 293, 309, 1890, 257, 935, 490, 264, 1192, 295, 264, 17968, 293, 472, 295, 264, 23774, 1409, 490, 316, 293, 6488, 293, 2045, 264, 20674, 1185, 294, 264, 6765, 2651, 264, 20674, 10298, 597, 307, 611, 406, 1219, 24441, 570, 309, 307, 4386], "avg_logprob": -0.5474759672696774, "compression_ratio": 1.6274509803921569, "no_speech_prob": 0.00014138221740722656, "words": [{"start": 1427.67, "end": 1427.87, "word": "I", "probability": 0.197998046875}, {"start": 1427.87, "end": 1427.99, "word": " mean", "probability": 0.6806640625}, {"start": 1427.99, "end": 1428.07, "word": " for", "probability": 0.41015625}, {"start": 1428.07, "end": 1428.23, "word": " example", "probability": 0.88671875}, {"start": 1428.23, "end": 1428.41, "word": " a", "probability": 0.54541015625}, {"start": 1428.41, "end": 1428.59, "word": " candle", "probability": 0.74267578125}, {"start": 1428.59, "end": 1428.85, "word": " or", "probability": 0.84375}, {"start": 1428.85, "end": 1429.13, "word": " something", "probability": 0.7880859375}, {"start": 1429.13, "end": 1429.63, "word": " and", "probability": 0.708984375}, {"start": 1429.63, "end": 1430.33, "word": " it", "probability": 0.404541015625}, {"start": 1430.33, "end": 1430.57, "word": " took", "probability": 0.6513671875}, {"start": 1430.57, "end": 1430.69, "word": " a", "probability": 0.86962890625}, {"start": 1430.69, "end": 1430.93, "word": " point", "probability": 0.603515625}, {"start": 1430.93, "end": 1431.27, "word": " from", "probability": 0.56591796875}, {"start": 1431.27, "end": 1431.47, "word": " the", "probability": 0.389892578125}, {"start": 1431.47, "end": 1431.63, "word": " top", "probability": 0.57177734375}, {"start": 1431.63, "end": 1431.79, "word": " of", "probability": 0.919921875}, {"start": 1431.79, "end": 1432.15, "word": " the", "probability": 0.51904296875}, {"start": 1432.15, "end": 1432.39, "word": " candle", "probability": 0.7861328125}, {"start": 1432.39, "end": 1432.83, "word": " and", "probability": 0.541015625}, {"start": 1432.83, "end": 1433.95, "word": " one", "probability": 0.6962890625}, {"start": 1433.95, "end": 1434.03, "word": " of", "probability": 0.93212890625}, {"start": 1434.03, "end": 1434.15, "word": " the", "probability": 0.88671875}, {"start": 1434.15, "end": 1434.45, "word": " candles", "probability": 0.257568359375}, {"start": 1434.45, "end": 1435.25, "word": " started", "probability": 0.2000732421875}, {"start": 1435.25, "end": 1435.55, "word": " from", "probability": 0.8173828125}, {"start": 1435.55, "end": 1435.85, "word": " A", "probability": 0.268798828125}, {"start": 1435.85, "end": 1436.15, "word": " and", "probability": 0.8232421875}, {"start": 1436.15, "end": 1436.61, "word": " reached", "probability": 0.64697265625}, {"start": 1436.61, "end": 1437.19, "word": " and", "probability": 0.28125}, {"start": 1437.19, "end": 1437.43, "word": " hit", "probability": 0.62744140625}, {"start": 1437.43, "end": 1437.69, "word": " the", "probability": 0.59228515625}, {"start": 1437.69, "end": 1438.09, "word": " optical", "probability": 0.96044921875}, {"start": 1438.09, "end": 1438.73, "word": " system", "probability": 0.94140625}, {"start": 1438.73, "end": 1438.91, "word": " in", "probability": 0.3056640625}, {"start": 1438.91, "end": 1439.11, "word": " the", "probability": 0.86767578125}, {"start": 1439.11, "end": 1439.47, "word": " lens", "probability": 0.70458984375}, {"start": 1439.47, "end": 1440.27, "word": " near", "probability": 0.404052734375}, {"start": 1440.27, "end": 1440.67, "word": " the", "probability": 0.82568359375}, {"start": 1440.67, "end": 1440.99, "word": " optical", "probability": 0.94140625}, {"start": 1440.99, "end": 1441.37, "word": " axis", "probability": 0.92431640625}, {"start": 1441.37, "end": 1441.59, "word": " which", "probability": 0.260498046875}, {"start": 1441.59, "end": 1441.75, "word": " is", "probability": 0.70703125}, {"start": 1441.75, "end": 1441.75, "word": " also", "probability": 0.68994140625}, {"start": 1441.75, "end": 1441.93, "word": " not", "probability": 0.70068359375}, {"start": 1441.93, "end": 1442.33, "word": " called", "probability": 0.83447265625}, {"start": 1442.33, "end": 1442.73, "word": " adjacent", "probability": 0.07916259765625}, {"start": 1442.73, "end": 1443.01, "word": " because", "probability": 0.81494140625}, {"start": 1443.01, "end": 1443.27, "word": " it", "probability": 0.88525390625}, {"start": 1443.27, "end": 1443.41, "word": " is", "probability": 0.61962890625}, {"start": 1443.41, "end": 1443.63, "word": " ..", "probability": 0.63525390625}], "temperature": 1.0}, {"id": 67, "seek": 146405, "start": 1444.49, "end": 1464.05, "text": "means that there is a period of time that his money is away from the optical axis in order to call it para-axial ray it is very important that the line is always adjacent to the optical axis and this will give me a benefit or why scientists chose to deal with the optical or with the para-axial ray and nothing else", "tokens": [1398, 599, 300, 456, 307, 257, 2896, 295, 565, 300, 702, 1460, 307, 1314, 490, 264, 20674, 10298, 294, 1668, 281, 818, 309, 1690, 12, 2797, 831, 18592, 309, 307, 588, 1021, 300, 264, 1622, 307, 1009, 24441, 281, 264, 20674, 10298, 293, 341, 486, 976, 385, 257, 5121, 420, 983, 7708, 5111, 281, 2028, 365, 264, 20674, 420, 365, 264, 1690, 12, 2797, 831, 18592, 293, 1825, 1646], "avg_logprob": -0.47678571811744147, "compression_ratio": 1.8103448275862069, "no_speech_prob": 9.22083854675293e-05, "words": [{"start": 1444.49, "end": 1445.01, "word": "means", "probability": 0.54925537109375}, {"start": 1445.01, "end": 1445.17, "word": " that", "probability": 0.450439453125}, {"start": 1445.17, "end": 1445.21, "word": " there", "probability": 0.685546875}, {"start": 1445.21, "end": 1445.27, "word": " is", "probability": 0.6396484375}, {"start": 1445.27, "end": 1445.37, "word": " a", "probability": 0.89404296875}, {"start": 1445.37, "end": 1445.63, "word": " period", "probability": 0.490478515625}, {"start": 1445.63, "end": 1445.91, "word": " of", "probability": 0.63330078125}, {"start": 1445.91, "end": 1446.27, "word": " time", "probability": 0.59423828125}, {"start": 1446.27, "end": 1446.27, "word": " that", "probability": 0.2110595703125}, {"start": 1446.27, "end": 1446.61, "word": " his", "probability": 0.61279296875}, {"start": 1446.61, "end": 1447.53, "word": " money", "probability": 0.1754150390625}, {"start": 1447.53, "end": 1448.39, "word": " is", "probability": 0.68896484375}, {"start": 1448.39, "end": 1448.61, "word": " away", "probability": 0.47119140625}, {"start": 1448.61, "end": 1448.93, "word": " from", "probability": 0.87744140625}, {"start": 1448.93, "end": 1449.03, "word": " the", "probability": 0.72607421875}, {"start": 1449.03, "end": 1449.33, "word": " optical", "probability": 0.8525390625}, {"start": 1449.33, "end": 1449.75, "word": " axis", "probability": 0.89111328125}, {"start": 1449.75, "end": 1449.91, "word": " in", "probability": 0.1912841796875}, {"start": 1449.91, "end": 1449.99, "word": " order", "probability": 0.9140625}, {"start": 1449.99, "end": 1450.17, "word": " to", "probability": 0.85791015625}, {"start": 1450.17, "end": 1450.47, "word": " call", "probability": 0.53076171875}, {"start": 1450.47, "end": 1450.69, "word": " it", "probability": 0.736328125}, {"start": 1450.69, "end": 1450.93, "word": " para", "probability": 0.329833984375}, {"start": 1450.93, "end": 1451.49, "word": "-axial", "probability": 0.720458984375}, {"start": 1451.49, "end": 1451.75, "word": " ray", "probability": 0.9501953125}, {"start": 1451.75, "end": 1452.17, "word": " it", "probability": 0.455078125}, {"start": 1452.17, "end": 1452.23, "word": " is", "probability": 0.77734375}, {"start": 1452.23, "end": 1452.25, "word": " very", "probability": 0.4755859375}, {"start": 1452.25, "end": 1452.55, "word": " important", "probability": 0.4501953125}, {"start": 1452.55, "end": 1452.99, "word": " that", "probability": 0.8134765625}, {"start": 1452.99, "end": 1453.49, "word": " the", "probability": 0.70703125}, {"start": 1453.49, "end": 1453.71, "word": " line", "probability": 0.7724609375}, {"start": 1453.71, "end": 1454.03, "word": " is", "probability": 0.5908203125}, {"start": 1454.03, "end": 1454.05, "word": " always", "probability": 0.279296875}, {"start": 1454.05, "end": 1454.55, "word": " adjacent", "probability": 0.38818359375}, {"start": 1454.55, "end": 1454.75, "word": " to", "probability": 0.95556640625}, {"start": 1454.75, "end": 1454.87, "word": " the", "probability": 0.90625}, {"start": 1454.87, "end": 1455.31, "word": " optical", "probability": 0.9443359375}, {"start": 1455.31, "end": 1456.19, "word": " axis", "probability": 0.96142578125}, {"start": 1456.19, "end": 1456.35, "word": " and", "probability": 0.765625}, {"start": 1456.35, "end": 1456.57, "word": " this", "probability": 0.70166015625}, {"start": 1456.57, "end": 1456.75, "word": " will", "probability": 0.6943359375}, {"start": 1456.75, "end": 1456.95, "word": " give", "probability": 0.82275390625}, {"start": 1456.95, "end": 1457.17, "word": " me", "probability": 0.90380859375}, {"start": 1457.17, "end": 1457.29, "word": " a", "probability": 0.276123046875}, {"start": 1457.29, "end": 1457.49, "word": " benefit", "probability": 0.673828125}, {"start": 1457.49, "end": 1457.81, "word": " or", "probability": 0.4453125}, {"start": 1457.81, "end": 1458.23, "word": " why", "probability": 0.6396484375}, {"start": 1458.23, "end": 1458.69, "word": " scientists", "probability": 0.297119140625}, {"start": 1458.69, "end": 1459.31, "word": " chose", "probability": 0.7646484375}, {"start": 1459.31, "end": 1459.51, "word": " to", "probability": 0.87158203125}, {"start": 1459.51, "end": 1459.87, "word": " deal", "probability": 0.87451171875}, {"start": 1459.87, "end": 1460.63, "word": " with", "probability": 0.89794921875}, {"start": 1460.63, "end": 1460.79, "word": " the", "probability": 0.55712890625}, {"start": 1460.79, "end": 1461.21, "word": " optical", "probability": 0.896484375}, {"start": 1461.21, "end": 1462.11, "word": " or", "probability": 0.80517578125}, {"start": 1462.11, "end": 1462.31, "word": " with", "probability": 0.365478515625}, {"start": 1462.31, "end": 1462.47, "word": " the", "probability": 0.8115234375}, {"start": 1462.47, "end": 1462.69, "word": " para", "probability": 0.87109375}, {"start": 1462.69, "end": 1463.17, "word": "-axial", "probability": 0.95458984375}, {"start": 1463.17, "end": 1463.51, "word": " ray", "probability": 0.91552734375}, {"start": 1463.51, "end": 1463.75, "word": " and", "probability": 0.56982421875}, {"start": 1463.75, "end": 1463.79, "word": " nothing", "probability": 0.2115478515625}, {"start": 1463.79, "end": 1464.05, "word": " else", "probability": 0.884765625}], "temperature": 1.0}, {"id": 68, "seek": 147460, "start": 1465.42, "end": 1474.6, "text": "Instead of tracing a ray through an optical system, it is easier to deal with rays extremely close to the optical axis", "tokens": [28411, 2056, 295, 25262, 257, 18592, 807, 364, 20674, 1185, 11, 309, 307, 3571, 281, 2028, 365, 24417, 4664, 1998, 281, 264, 20674, 10298], "avg_logprob": -0.20515624523162843, "compression_ratio": 1.2688172043010753, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 1465.42, "end": 1466.08, "word": "Instead", "probability": 0.712158203125}, {"start": 1466.08, "end": 1466.28, "word": " of", "probability": 0.96826171875}, {"start": 1466.28, "end": 1466.76, "word": " tracing", "probability": 0.87353515625}, {"start": 1466.76, "end": 1467.06, "word": " a", "probability": 0.322021484375}, {"start": 1467.06, "end": 1467.28, "word": " ray", "probability": 0.92529296875}, {"start": 1467.28, "end": 1467.84, "word": " through", "probability": 0.8623046875}, {"start": 1467.84, "end": 1468.2, "word": " an", "probability": 0.8837890625}, {"start": 1468.2, "end": 1468.62, "word": " optical", "probability": 0.94384765625}, {"start": 1468.62, "end": 1469.2, "word": " system,", "probability": 0.9365234375}, {"start": 1469.68, "end": 1469.82, "word": " it", "probability": 0.92724609375}, {"start": 1469.82, "end": 1470.06, "word": " is", "probability": 0.8271484375}, {"start": 1470.06, "end": 1470.62, "word": " easier", "probability": 0.96728515625}, {"start": 1470.62, "end": 1470.88, "word": " to", "probability": 0.9716796875}, {"start": 1470.88, "end": 1471.22, "word": " deal", "probability": 0.97021484375}, {"start": 1471.22, "end": 1471.48, "word": " with", "probability": 0.9072265625}, {"start": 1471.48, "end": 1471.88, "word": " rays", "probability": 0.95068359375}, {"start": 1471.88, "end": 1472.72, "word": " extremely", "probability": 0.7470703125}, {"start": 1472.72, "end": 1473.32, "word": " close", "probability": 0.89306640625}, {"start": 1473.32, "end": 1473.5, "word": " to", "probability": 0.9716796875}, {"start": 1473.5, "end": 1473.66, "word": " the", "probability": 0.9033203125}, {"start": 1473.66, "end": 1474.06, "word": " optical", "probability": 0.9306640625}, {"start": 1474.06, "end": 1474.6, "word": " axis", "probability": 0.89404296875}], "temperature": 1.0}, {"id": 69, "seek": 150445, "start": 1487.83, "end": 1504.45, "text": "The portion of the refracting surface near the optical axis may be treated as flat. Just as the earth's surface seems flat to a human observer, a refracting surface seems flat to a paraxial ray.", "tokens": [2278, 8044, 295, 264, 45353, 278, 3753, 2651, 264, 20674, 10298, 815, 312, 8668, 382, 4962, 13, 1449, 382, 264, 4120, 311, 3753, 2544, 4962, 281, 257, 1952, 27878, 11, 257, 45353, 278, 3753, 2544, 4962, 281, 257, 1690, 87, 831, 18592, 13], "avg_logprob": -0.20667613297700882, "compression_ratio": 1.5275590551181102, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 1487.8299999999997, "end": 1488.7099999999998, "word": "The", "probability": 0.2303466796875}, {"start": 1488.7099999999998, "end": 1489.59, "word": " portion", "probability": 0.92236328125}, {"start": 1489.59, "end": 1489.85, "word": " of", "probability": 0.97119140625}, {"start": 1489.85, "end": 1490.01, "word": " the", "probability": 0.8818359375}, {"start": 1490.01, "end": 1490.65, "word": " refracting", "probability": 0.899169921875}, {"start": 1490.65, "end": 1491.07, "word": " surface", "probability": 0.904296875}, {"start": 1491.07, "end": 1491.53, "word": " near", "probability": 0.90576171875}, {"start": 1491.53, "end": 1491.79, "word": " the", "probability": 0.92138671875}, {"start": 1491.79, "end": 1492.23, "word": " optical", "probability": 0.91943359375}, {"start": 1492.23, "end": 1492.97, "word": " axis", "probability": 0.94140625}, {"start": 1492.97, "end": 1493.63, "word": " may", "probability": 0.87548828125}, {"start": 1493.63, "end": 1493.91, "word": " be", "probability": 0.95263671875}, {"start": 1493.91, "end": 1494.37, "word": " treated", "probability": 0.86474609375}, {"start": 1494.37, "end": 1494.79, "word": " as", "probability": 0.97509765625}, {"start": 1494.79, "end": 1495.23, "word": " flat.", "probability": 0.8427734375}, {"start": 1495.53, "end": 1496.07, "word": " Just", "probability": 0.59033203125}, {"start": 1496.07, "end": 1496.55, "word": " as", "probability": 0.970703125}, {"start": 1496.55, "end": 1496.91, "word": " the", "probability": 0.90478515625}, {"start": 1496.91, "end": 1497.39, "word": " earth's", "probability": 0.6864013671875}, {"start": 1497.39, "end": 1497.71, "word": " surface", "probability": 0.86572265625}, {"start": 1497.71, "end": 1498.11, "word": " seems", "probability": 0.82958984375}, {"start": 1498.11, "end": 1498.49, "word": " flat", "probability": 0.8994140625}, {"start": 1498.49, "end": 1498.71, "word": " to", "probability": 0.97509765625}, {"start": 1498.71, "end": 1498.79, "word": " a", "probability": 0.53515625}, {"start": 1498.79, "end": 1499.07, "word": " human", "probability": 0.91455078125}, {"start": 1499.07, "end": 1499.73, "word": " observer,", "probability": 0.83544921875}, {"start": 1500.23, "end": 1500.41, "word": " a", "probability": 0.96240234375}, {"start": 1500.41, "end": 1501.09, "word": " refracting", "probability": 0.8984375}, {"start": 1501.09, "end": 1501.63, "word": " surface", "probability": 0.91015625}, {"start": 1501.63, "end": 1502.39, "word": " seems", "probability": 0.82177734375}, {"start": 1502.39, "end": 1502.83, "word": " flat", "probability": 0.91162109375}, {"start": 1502.83, "end": 1503.09, "word": " to", "probability": 0.97265625}, {"start": 1503.09, "end": 1503.35, "word": " a", "probability": 0.90771484375}, {"start": 1503.35, "end": 1503.95, "word": " paraxial", "probability": 0.6588541666666666}, {"start": 1503.95, "end": 1504.45, "word": " ray.", "probability": 0.9736328125}], "temperature": 1.0}, {"id": 70, "seek": 153372, "start": 1506.5, "end": 1533.72, "text": "this part of the surface of the refracting surface which is very close to the optical axis this part of the surface of the lens which is very close to the optical axis can be treated as flat here I took this part and cut it and enlarged it here", "tokens": [11176, 644, 295, 264, 3753, 295, 264, 45353, 278, 3753, 597, 307, 588, 1998, 281, 264, 20674, 10298, 341, 644, 295, 264, 3753, 295, 264, 6765, 597, 307, 588, 1998, 281, 264, 20674, 10298, 393, 312, 8668, 382, 4962, 510, 286, 1890, 341, 644, 293, 1723, 309, 293, 31976, 3004, 309, 510], "avg_logprob": -0.4525353638630993, "compression_ratio": 2.0165289256198347, "no_speech_prob": 1.8477439880371094e-05, "words": [{"start": 1506.5, "end": 1506.82, "word": "this", "probability": 0.17919921875}, {"start": 1506.82, "end": 1507.66, "word": " part", "probability": 0.15771484375}, {"start": 1507.66, "end": 1512.52, "word": " of", "probability": 0.58251953125}, {"start": 1512.52, "end": 1512.7, "word": " the", "probability": 0.646484375}, {"start": 1512.7, "end": 1513.16, "word": " surface", "probability": 0.611328125}, {"start": 1513.16, "end": 1515.42, "word": " of", "probability": 0.280517578125}, {"start": 1515.42, "end": 1515.78, "word": " the", "probability": 0.48486328125}, {"start": 1515.78, "end": 1516.36, "word": " refracting", "probability": 0.4779052734375}, {"start": 1516.36, "end": 1516.94, "word": " surface", "probability": 0.8330078125}, {"start": 1516.94, "end": 1517.68, "word": " which", "probability": 0.343994140625}, {"start": 1517.68, "end": 1518.94, "word": " is", "probability": 0.86181640625}, {"start": 1518.94, "end": 1518.94, "word": " very", "probability": 0.53662109375}, {"start": 1518.94, "end": 1519.32, "word": " close", "probability": 0.82470703125}, {"start": 1519.32, "end": 1519.86, "word": " to", "probability": 0.90625}, {"start": 1519.86, "end": 1520.0, "word": " the", "probability": 0.8857421875}, {"start": 1520.0, "end": 1520.32, "word": " optical", "probability": 0.79931640625}, {"start": 1520.32, "end": 1520.86, "word": " axis", "probability": 0.93505859375}, {"start": 1520.86, "end": 1521.16, "word": " this", "probability": 0.2232666015625}, {"start": 1521.16, "end": 1521.46, "word": " part", "probability": 0.755859375}, {"start": 1521.46, "end": 1521.66, "word": " of", "probability": 0.87646484375}, {"start": 1521.66, "end": 1521.82, "word": " the", "probability": 0.8837890625}, {"start": 1521.82, "end": 1522.08, "word": " surface", "probability": 0.442138671875}, {"start": 1522.08, "end": 1522.26, "word": " of", "probability": 0.85986328125}, {"start": 1522.26, "end": 1522.44, "word": " the", "probability": 0.86083984375}, {"start": 1522.44, "end": 1522.78, "word": " lens", "probability": 0.73486328125}, {"start": 1522.78, "end": 1523.48, "word": " which", "probability": 0.48486328125}, {"start": 1523.48, "end": 1523.56, "word": " is", "probability": 0.92822265625}, {"start": 1523.56, "end": 1523.6, "word": " very", "probability": 0.8115234375}, {"start": 1523.6, "end": 1523.88, "word": " close", "probability": 0.8720703125}, {"start": 1523.88, "end": 1524.34, "word": " to", "probability": 0.96533203125}, {"start": 1524.34, "end": 1524.48, "word": " the", "probability": 0.9111328125}, {"start": 1524.48, "end": 1524.74, "word": " optical", "probability": 0.91015625}, {"start": 1524.74, "end": 1525.38, "word": " axis", "probability": 0.95263671875}, {"start": 1525.38, "end": 1526.12, "word": " can", "probability": 0.404541015625}, {"start": 1526.12, "end": 1526.46, "word": " be", "probability": 0.9072265625}, {"start": 1526.46, "end": 1526.86, "word": " treated", "probability": 0.599609375}, {"start": 1526.86, "end": 1527.48, "word": " as", "probability": 0.888671875}, {"start": 1527.48, "end": 1528.04, "word": " flat", "probability": 0.69921875}, {"start": 1528.04, "end": 1528.74, "word": " here", "probability": 0.1727294921875}, {"start": 1528.74, "end": 1529.02, "word": " I", "probability": 0.55859375}, {"start": 1529.02, "end": 1529.3, "word": " took", "probability": 0.60546875}, {"start": 1529.3, "end": 1529.46, "word": " this", "probability": 0.90625}, {"start": 1529.46, "end": 1529.64, "word": " part", "probability": 0.869140625}, {"start": 1529.64, "end": 1529.98, "word": " and", "probability": 0.66162109375}, {"start": 1529.98, "end": 1530.22, "word": " cut", "probability": 0.52001953125}, {"start": 1530.22, "end": 1530.6, "word": " it", "probability": 0.87255859375}, {"start": 1530.6, "end": 1532.9, "word": " and", "probability": 0.400634765625}, {"start": 1532.9, "end": 1533.38, "word": " enlarged", "probability": 0.88037109375}, {"start": 1533.38, "end": 1533.52, "word": " it", "probability": 0.8837890625}, {"start": 1533.52, "end": 1533.72, "word": " here", "probability": 0.7978515625}], "temperature": 1.0}, {"id": 71, "seek": 155490, "start": 1534.44, "end": 1554.9, "text": "Of course, these rays and these rays are very close to the optical axis, but in order to clarify that they are rays and that there is a small angle between them, we extended the image vertically. This image, we cut a part of it in the way we see it.", "tokens": [23919, 1164, 11, 613, 24417, 293, 613, 24417, 366, 588, 1998, 281, 264, 20674, 10298, 11, 457, 294, 1668, 281, 17594, 300, 436, 366, 24417, 293, 300, 456, 307, 257, 1359, 5802, 1296, 552, 11, 321, 10913, 264, 3256, 28450, 13, 639, 3256, 11, 321, 1723, 257, 644, 295, 309, 294, 264, 636, 321, 536, 309, 13], "avg_logprob": -0.4908405192967119, "compression_ratio": 1.6064516129032258, "no_speech_prob": 0.0007925033569335938, "words": [{"start": 1534.44, "end": 1534.68, "word": "Of", "probability": 0.2476806640625}, {"start": 1534.68, "end": 1534.84, "word": " course,", "probability": 0.93603515625}, {"start": 1534.98, "end": 1535.54, "word": " these", "probability": 0.44580078125}, {"start": 1535.54, "end": 1535.96, "word": " rays", "probability": 0.73193359375}, {"start": 1535.96, "end": 1536.14, "word": " and", "probability": 0.415771484375}, {"start": 1536.14, "end": 1536.4, "word": " these", "probability": 0.280517578125}, {"start": 1536.4, "end": 1536.92, "word": " rays", "probability": 0.94873046875}, {"start": 1536.92, "end": 1537.96, "word": " are", "probability": 0.84423828125}, {"start": 1537.96, "end": 1538.04, "word": " very", "probability": 0.61181640625}, {"start": 1538.04, "end": 1538.42, "word": " close", "probability": 0.404296875}, {"start": 1538.42, "end": 1540.94, "word": " to", "probability": 0.460693359375}, {"start": 1540.94, "end": 1541.1, "word": " the", "probability": 0.68896484375}, {"start": 1541.1, "end": 1541.52, "word": " optical", "probability": 0.92431640625}, {"start": 1541.52, "end": 1542.12, "word": " axis,", "probability": 0.9423828125}, {"start": 1542.14, "end": 1542.32, "word": " but", "probability": 0.85498046875}, {"start": 1542.32, "end": 1542.52, "word": " in", "probability": 0.2493896484375}, {"start": 1542.52, "end": 1542.84, "word": " order", "probability": 0.92919921875}, {"start": 1542.84, "end": 1543.42, "word": " to", "probability": 0.91015625}, {"start": 1543.42, "end": 1543.78, "word": " clarify", "probability": 0.2357177734375}, {"start": 1543.78, "end": 1544.0, "word": " that", "probability": 0.88525390625}, {"start": 1544.0, "end": 1544.08, "word": " they", "probability": 0.82958984375}, {"start": 1544.08, "end": 1544.14, "word": " are", "probability": 0.8974609375}, {"start": 1544.14, "end": 1544.42, "word": " rays", "probability": 0.36962890625}, {"start": 1544.42, "end": 1544.76, "word": " and", "probability": 0.84375}, {"start": 1544.76, "end": 1545.0, "word": " that", "probability": 0.78173828125}, {"start": 1545.0, "end": 1545.26, "word": " there", "probability": 0.75341796875}, {"start": 1545.26, "end": 1545.46, "word": " is", "probability": 0.85205078125}, {"start": 1545.46, "end": 1545.48, "word": " a", "probability": 0.8740234375}, {"start": 1545.48, "end": 1546.14, "word": " small", "probability": 0.83056640625}, {"start": 1546.14, "end": 1546.14, "word": " angle", "probability": 0.82861328125}, {"start": 1546.14, "end": 1546.26, "word": " between", "probability": 0.85986328125}, {"start": 1546.26, "end": 1546.32, "word": " them,", "probability": 0.9033203125}, {"start": 1546.48, "end": 1546.8, "word": " we", "probability": 0.88623046875}, {"start": 1546.8, "end": 1547.12, "word": " extended", "probability": 0.1204833984375}, {"start": 1547.12, "end": 1547.38, "word": " the", "probability": 0.857421875}, {"start": 1547.38, "end": 1547.62, "word": " image", "probability": 0.501953125}, {"start": 1547.62, "end": 1548.08, "word": " vertically.", "probability": 0.8623046875}, {"start": 1550.34, "end": 1550.86, "word": " This", "probability": 0.421875}, {"start": 1550.86, "end": 1551.4, "word": " image,", "probability": 0.62255859375}, {"start": 1551.82, "end": 1552.24, "word": " we", "probability": 0.8974609375}, {"start": 1552.24, "end": 1552.5, "word": " cut", "probability": 0.52783203125}, {"start": 1552.5, "end": 1552.8, "word": " a", "probability": 0.381103515625}, {"start": 1552.8, "end": 1553.02, "word": " part", "probability": 0.82763671875}, {"start": 1553.02, "end": 1553.22, "word": " of", "probability": 0.93603515625}, {"start": 1553.22, "end": 1553.4, "word": " it", "probability": 0.93017578125}, {"start": 1553.4, "end": 1553.5, "word": " in", "probability": 0.358642578125}, {"start": 1553.5, "end": 1553.6, "word": " the", "probability": 0.89013671875}, {"start": 1553.6, "end": 1553.82, "word": " way", "probability": 0.603515625}, {"start": 1553.82, "end": 1554.22, "word": " we", "probability": 0.73583984375}, {"start": 1554.22, "end": 1554.56, "word": " see", "probability": 0.8974609375}, {"start": 1554.56, "end": 1554.9, "word": " it.", "probability": 0.93115234375}], "temperature": 1.0}, {"id": 72, "seek": 158411, "start": 1555.25, "end": 1584.11, "text": "and we extended it vertically and we enlarged it vertically the vertical drawing we enlarged it vertically and we enlarged it vertically just to clarify the idea this part of the surface for the para-axial ray can exceed and almost we said the approximation is what is dependent on this subject we can consider it flat for the para-axial ray or we consider the para-axial ray if a person falls with an umbrella on the ground", "tokens": [474, 321, 10913, 309, 28450, 293, 321, 31976, 3004, 309, 28450, 264, 9429, 6316, 321, 31976, 3004, 309, 28450, 293, 321, 31976, 3004, 309, 28450, 445, 281, 17594, 264, 1558, 341, 644, 295, 264, 3753, 337, 264, 1690, 12, 2797, 831, 18592, 393, 14048, 293, 1920, 321, 848, 264, 28023, 307, 437, 307, 12334, 322, 341, 3983, 321, 393, 1949, 309, 4962, 337, 264, 1690, 12, 2797, 831, 18592, 420, 321, 1949, 264, 1690, 12, 2797, 831, 18592, 498, 257, 954, 8804, 365, 364, 21925, 322, 264, 2727], "avg_logprob": -0.5305477367358261, "compression_ratio": 2.099009900990099, "no_speech_prob": 3.2961368560791016e-05, "words": [{"start": 1555.25, "end": 1555.47, "word": "and", "probability": 0.4755859375}, {"start": 1555.47, "end": 1555.57, "word": " we", "probability": 0.3740234375}, {"start": 1555.57, "end": 1555.87, "word": " extended", "probability": 0.230224609375}, {"start": 1555.87, "end": 1556.23, "word": " it", "probability": 0.8232421875}, {"start": 1556.23, "end": 1556.61, "word": " vertically", "probability": 0.73974609375}, {"start": 1556.61, "end": 1557.29, "word": " and", "probability": 0.36181640625}, {"start": 1557.29, "end": 1557.41, "word": " we", "probability": 0.34423828125}, {"start": 1557.41, "end": 1557.83, "word": " enlarged", "probability": 0.75048828125}, {"start": 1557.83, "end": 1558.13, "word": " it", "probability": 0.55322265625}, {"start": 1558.13, "end": 1559.47, "word": " vertically", "probability": 0.19140625}, {"start": 1559.47, "end": 1559.61, "word": " the", "probability": 0.15576171875}, {"start": 1559.61, "end": 1559.89, "word": " vertical", "probability": 0.415283203125}, {"start": 1559.89, "end": 1560.27, "word": " drawing", "probability": 0.68994140625}, {"start": 1560.27, "end": 1560.83, "word": " we", "probability": 0.1263427734375}, {"start": 1560.83, "end": 1561.41, "word": " enlarged", "probability": 0.6068115234375}, {"start": 1561.41, "end": 1561.69, "word": " it", "probability": 0.8232421875}, {"start": 1561.69, "end": 1561.99, "word": " vertically", "probability": 0.75537109375}, {"start": 1561.99, "end": 1562.05, "word": " and", "probability": 0.69287109375}, {"start": 1562.05, "end": 1562.17, "word": " we", "probability": 0.5595703125}, {"start": 1562.17, "end": 1562.33, "word": " enlarged", "probability": 0.740966796875}, {"start": 1562.33, "end": 1562.49, "word": " it", "probability": 0.94970703125}, {"start": 1562.49, "end": 1562.89, "word": " vertically", "probability": 0.59912109375}, {"start": 1562.89, "end": 1563.01, "word": " just", "probability": 0.41796875}, {"start": 1563.01, "end": 1563.31, "word": " to", "probability": 0.9267578125}, {"start": 1563.31, "end": 1563.61, "word": " clarify", "probability": 0.2763671875}, {"start": 1563.61, "end": 1563.75, "word": " the", "probability": 0.6240234375}, {"start": 1563.75, "end": 1564.01, "word": " idea", "probability": 0.67529296875}, {"start": 1564.01, "end": 1564.71, "word": " this", "probability": 0.72119140625}, {"start": 1564.71, "end": 1565.01, "word": " part", "probability": 0.73876953125}, {"start": 1565.01, "end": 1565.25, "word": " of", "probability": 0.9140625}, {"start": 1565.25, "end": 1565.45, "word": " the", "probability": 0.92333984375}, {"start": 1565.45, "end": 1565.65, "word": " surface", "probability": 0.509765625}, {"start": 1565.65, "end": 1566.39, "word": " for", "probability": 0.3818359375}, {"start": 1566.39, "end": 1566.69, "word": " the", "probability": 0.46240234375}, {"start": 1566.69, "end": 1566.93, "word": " para", "probability": 0.475830078125}, {"start": 1566.93, "end": 1567.45, "word": "-axial", "probability": 0.58935546875}, {"start": 1567.45, "end": 1567.63, "word": " ray", "probability": 0.962890625}, {"start": 1567.63, "end": 1568.17, "word": " can", "probability": 0.38037109375}, {"start": 1568.17, "end": 1568.79, "word": " exceed", "probability": 0.4326171875}, {"start": 1568.79, "end": 1569.73, "word": " and", "probability": 0.6279296875}, {"start": 1569.73, "end": 1570.29, "word": " almost", "probability": 0.265869140625}, {"start": 1570.29, "end": 1570.55, "word": " we", "probability": 0.39111328125}, {"start": 1570.55, "end": 1570.81, "word": " said", "probability": 0.8603515625}, {"start": 1570.81, "end": 1570.95, "word": " the", "probability": 0.44287109375}, {"start": 1570.95, "end": 1571.47, "word": " approximation", "probability": 0.8544921875}, {"start": 1571.47, "end": 1571.95, "word": " is", "probability": 0.744140625}, {"start": 1571.95, "end": 1572.23, "word": " what", "probability": 0.37548828125}, {"start": 1572.23, "end": 1572.31, "word": " is", "probability": 0.58447265625}, {"start": 1572.31, "end": 1572.65, "word": " dependent", "probability": 0.2054443359375}, {"start": 1572.65, "end": 1572.87, "word": " on", "probability": 0.72998046875}, {"start": 1572.87, "end": 1573.15, "word": " this", "probability": 0.9013671875}, {"start": 1573.15, "end": 1573.63, "word": " subject", "probability": 0.33837890625}, {"start": 1573.63, "end": 1574.31, "word": " we", "probability": 0.7998046875}, {"start": 1574.31, "end": 1574.61, "word": " can", "probability": 0.841796875}, {"start": 1574.61, "end": 1575.65, "word": " consider", "probability": 0.8505859375}, {"start": 1575.65, "end": 1575.85, "word": " it", "probability": 0.8798828125}, {"start": 1575.85, "end": 1576.11, "word": " flat", "probability": 0.7978515625}, {"start": 1576.11, "end": 1576.81, "word": " for", "probability": 0.74267578125}, {"start": 1576.81, "end": 1577.17, "word": " the", "probability": 0.81103515625}, {"start": 1577.17, "end": 1577.41, "word": " para", "probability": 0.84765625}, {"start": 1577.41, "end": 1577.87, "word": "-axial", "probability": 0.9661458333333334}, {"start": 1577.87, "end": 1578.05, "word": " ray", "probability": 0.962890625}, {"start": 1578.05, "end": 1578.33, "word": " or", "probability": 0.90869140625}, {"start": 1578.33, "end": 1578.47, "word": " we", "probability": 0.69091796875}, {"start": 1578.47, "end": 1578.77, "word": " consider", "probability": 0.78076171875}, {"start": 1578.77, "end": 1578.95, "word": " the", "probability": 0.82666015625}, {"start": 1578.95, "end": 1579.17, "word": " para", "probability": 0.86376953125}, {"start": 1579.17, "end": 1579.57, "word": "-axial", "probability": 0.9728190104166666}, {"start": 1579.57, "end": 1579.71, "word": " ray", "probability": 0.96142578125}, {"start": 1579.71, "end": 1579.89, "word": " if", "probability": 0.65234375}, {"start": 1579.89, "end": 1580.75, "word": " a", "probability": 0.72998046875}, {"start": 1580.75, "end": 1581.29, "word": " person", "probability": 0.515625}, {"start": 1581.29, "end": 1582.35, "word": " falls", "probability": 0.26171875}, {"start": 1582.35, "end": 1582.59, "word": " with", "probability": 0.464111328125}, {"start": 1582.59, "end": 1582.75, "word": " an", "probability": 0.2103271484375}, {"start": 1582.75, "end": 1583.03, "word": " umbrella", "probability": 0.6396484375}, {"start": 1583.03, "end": 1583.35, "word": " on", "probability": 0.90966796875}, {"start": 1583.35, "end": 1583.87, "word": " the", "probability": 0.91943359375}, {"start": 1583.87, "end": 1584.11, "word": " ground", "probability": 0.42333984375}], "temperature": 1.0}, {"id": 73, "seek": 161142, "start": 1584.54, "end": 1611.42, "text": "The surface of the earth is spherical, but this person who is very small in size compared to the surface of the entire earth, it is clear that he looks down into the darkness and sees the earth as if it were a flat surface. On the same scale, the para-axial ray is a very small thing. When it falls on the para-axial region in the lens or in the spherical refracting surface,", "tokens": [2278, 3753, 295, 264, 4120, 307, 37300, 11, 457, 341, 954, 567, 307, 588, 1359, 294, 2744, 5347, 281, 264, 3753, 295, 264, 2302, 4120, 11, 309, 307, 1850, 300, 415, 1542, 760, 666, 264, 11262, 293, 8194, 264, 4120, 382, 498, 309, 645, 257, 4962, 3753, 13, 1282, 264, 912, 4373, 11, 264, 1690, 12, 2797, 831, 18592, 307, 257, 588, 1359, 551, 13, 1133, 309, 8804, 322, 264, 1690, 12, 2797, 831, 4458, 294, 264, 6765, 420, 294, 264, 37300, 45353, 278, 3753, 11], "avg_logprob": -0.5176005637508699, "compression_ratio": 1.7857142857142858, "no_speech_prob": 2.1457672119140625e-06, "words": [{"start": 1584.54, "end": 1584.72, "word": "The", "probability": 0.1986083984375}, {"start": 1584.72, "end": 1584.86, "word": " surface", "probability": 0.501953125}, {"start": 1584.86, "end": 1585.0, "word": " of", "probability": 0.9326171875}, {"start": 1585.0, "end": 1585.06, "word": " the", "probability": 0.7236328125}, {"start": 1585.06, "end": 1585.22, "word": " earth", "probability": 0.6025390625}, {"start": 1585.22, "end": 1585.36, "word": " is", "probability": 0.8896484375}, {"start": 1585.36, "end": 1585.56, "word": " spherical,", "probability": 0.86865234375}, {"start": 1585.94, "end": 1586.14, "word": " but", "probability": 0.77197265625}, {"start": 1586.14, "end": 1586.4, "word": " this", "probability": 0.513671875}, {"start": 1586.4, "end": 1586.84, "word": " person", "probability": 0.48095703125}, {"start": 1586.84, "end": 1587.0, "word": " who", "probability": 0.207763671875}, {"start": 1587.0, "end": 1587.34, "word": " is", "probability": 0.2724609375}, {"start": 1587.34, "end": 1587.34, "word": " very", "probability": 0.2293701171875}, {"start": 1587.34, "end": 1587.38, "word": " small", "probability": 0.9306640625}, {"start": 1587.38, "end": 1587.86, "word": " in", "probability": 0.51806640625}, {"start": 1587.86, "end": 1588.4, "word": " size", "probability": 0.6484375}, {"start": 1588.4, "end": 1589.1, "word": " compared", "probability": 0.265625}, {"start": 1589.1, "end": 1589.5, "word": " to", "probability": 0.9599609375}, {"start": 1589.5, "end": 1589.64, "word": " the", "probability": 0.8984375}, {"start": 1589.64, "end": 1589.78, "word": " surface", "probability": 0.29736328125}, {"start": 1589.78, "end": 1590.02, "word": " of", "probability": 0.96337890625}, {"start": 1590.02, "end": 1590.36, "word": " the", "probability": 0.80859375}, {"start": 1590.36, "end": 1590.36, "word": " entire", "probability": 0.422607421875}, {"start": 1590.36, "end": 1590.66, "word": " earth,", "probability": 0.477294921875}, {"start": 1591.34, "end": 1591.66, "word": " it", "probability": 0.215087890625}, {"start": 1591.66, "end": 1591.8, "word": " is", "probability": 0.487548828125}, {"start": 1591.8, "end": 1592.16, "word": " clear", "probability": 0.52783203125}, {"start": 1592.16, "end": 1592.54, "word": " that", "probability": 0.76904296875}, {"start": 1592.54, "end": 1592.86, "word": " he", "probability": 0.8291015625}, {"start": 1592.86, "end": 1593.46, "word": " looks", "probability": 0.1497802734375}, {"start": 1593.46, "end": 1593.9, "word": " down", "probability": 0.59033203125}, {"start": 1593.9, "end": 1594.12, "word": " into", "probability": 0.29833984375}, {"start": 1594.12, "end": 1594.2, "word": " the", "probability": 0.8251953125}, {"start": 1594.2, "end": 1594.48, "word": " darkness", "probability": 0.1240234375}, {"start": 1594.48, "end": 1594.68, "word": " and", "probability": 0.57763671875}, {"start": 1594.68, "end": 1594.96, "word": " sees", "probability": 0.90966796875}, {"start": 1594.96, "end": 1595.18, "word": " the", "probability": 0.8701171875}, {"start": 1595.18, "end": 1595.42, "word": " earth", "probability": 0.7734375}, {"start": 1595.42, "end": 1595.6, "word": " as", "probability": 0.9267578125}, {"start": 1595.6, "end": 1595.76, "word": " if", "probability": 0.47705078125}, {"start": 1595.76, "end": 1597.54, "word": " it", "probability": 0.89501953125}, {"start": 1597.54, "end": 1597.54, "word": " were", "probability": 0.47998046875}, {"start": 1597.54, "end": 1597.56, "word": " a", "probability": 0.73193359375}, {"start": 1597.56, "end": 1597.74, "word": " flat", "probability": 0.4462890625}, {"start": 1597.74, "end": 1597.74, "word": " surface.", "probability": 0.84765625}, {"start": 1598.5, "end": 1598.94, "word": " On", "probability": 0.406494140625}, {"start": 1598.94, "end": 1599.36, "word": " the", "probability": 0.90576171875}, {"start": 1599.36, "end": 1599.36, "word": " same", "probability": 0.8798828125}, {"start": 1599.36, "end": 1599.84, "word": " scale,", "probability": 0.78564453125}, {"start": 1601.2, "end": 1601.26, "word": " the", "probability": 0.67333984375}, {"start": 1601.26, "end": 1601.56, "word": " para", "probability": 0.41064453125}, {"start": 1601.56, "end": 1602.1, "word": "-axial", "probability": 0.72265625}, {"start": 1602.1, "end": 1602.38, "word": " ray", "probability": 0.96484375}, {"start": 1602.38, "end": 1603.12, "word": " is", "probability": 0.4296875}, {"start": 1603.12, "end": 1604.02, "word": " a", "probability": 0.3681640625}, {"start": 1604.02, "end": 1604.52, "word": " very", "probability": 0.80322265625}, {"start": 1604.52, "end": 1605.06, "word": " small", "probability": 0.8115234375}, {"start": 1605.06, "end": 1605.12, "word": " thing.", "probability": 0.732421875}, {"start": 1606.32, "end": 1606.78, "word": " When", "probability": 0.79736328125}, {"start": 1606.78, "end": 1606.94, "word": " it", "probability": 0.438232421875}, {"start": 1606.94, "end": 1607.18, "word": " falls", "probability": 0.69775390625}, {"start": 1607.18, "end": 1607.48, "word": " on", "probability": 0.8017578125}, {"start": 1607.48, "end": 1607.68, "word": " the", "probability": 0.9013671875}, {"start": 1607.68, "end": 1607.92, "word": " para", "probability": 0.7900390625}, {"start": 1607.92, "end": 1608.44, "word": "-axial", "probability": 0.9654947916666666}, {"start": 1608.44, "end": 1608.84, "word": " region", "probability": 0.91259765625}, {"start": 1608.84, "end": 1609.0, "word": " in", "probability": 0.5009765625}, {"start": 1609.0, "end": 1609.12, "word": " the", "probability": 0.876953125}, {"start": 1609.12, "end": 1609.42, "word": " lens", "probability": 0.81982421875}, {"start": 1609.42, "end": 1609.72, "word": " or", "probability": 0.837890625}, {"start": 1609.72, "end": 1609.82, "word": " in", "probability": 0.5458984375}, {"start": 1609.82, "end": 1609.9, "word": " the", "probability": 0.90478515625}, {"start": 1609.9, "end": 1610.28, "word": " spherical", "probability": 0.82958984375}, {"start": 1610.28, "end": 1610.98, "word": " refracting", "probability": 0.6416015625}, {"start": 1610.98, "end": 1611.42, "word": " surface,", "probability": 0.908203125}], "temperature": 1.0}, {"id": 74, "seek": 163897, "start": 1612.17, "end": 1638.97, "text": "It is possible to consider this surface as a very large surface, it is possible to consider this area as flat as the area on which it fell. So, scientists said that the first thing we will do is ignoring image quality. Excellent. This is short for 200 or 300 rays, not two rays. Now I want to simplify it more. I want to choose the two rays not far from the optical axis. I want to choose them close to the optical axis. Why?", "tokens": [3522, 307, 1944, 281, 1949, 341, 3753, 382, 257, 588, 2416, 3753, 11, 309, 307, 1944, 281, 1949, 341, 1859, 382, 4962, 382, 264, 1859, 322, 597, 309, 5696, 13, 407, 11, 7708, 848, 300, 264, 700, 551, 321, 486, 360, 307, 26258, 3256, 3125, 13, 16723, 13, 639, 307, 2099, 337, 2331, 420, 6641, 24417, 11, 406, 732, 24417, 13, 823, 286, 528, 281, 20460, 309, 544, 13, 286, 528, 281, 2826, 264, 732, 24417, 406, 1400, 490, 264, 20674, 10298, 13, 286, 528, 281, 2826, 552, 1998, 281, 264, 20674, 10298, 13, 1545, 30], "avg_logprob": -0.5122422680412371, "compression_ratio": 1.8008474576271187, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 1612.17, "end": 1612.69, "word": "It", "probability": 0.0799560546875}, {"start": 1612.69, "end": 1612.85, "word": " is", "probability": 0.379150390625}, {"start": 1612.85, "end": 1612.85, "word": " possible", "probability": 0.748046875}, {"start": 1612.85, "end": 1613.01, "word": " to", "probability": 0.669921875}, {"start": 1613.01, "end": 1613.39, "word": " consider", "probability": 0.70849609375}, {"start": 1613.39, "end": 1613.91, "word": " this", "probability": 0.681640625}, {"start": 1613.91, "end": 1614.25, "word": " surface", "probability": 0.6005859375}, {"start": 1614.25, "end": 1614.93, "word": " as", "probability": 0.421142578125}, {"start": 1614.93, "end": 1615.29, "word": " a", "probability": 0.533203125}, {"start": 1615.29, "end": 1616.01, "word": " very", "probability": 0.351806640625}, {"start": 1616.01, "end": 1616.43, "word": " large", "probability": 0.55908203125}, {"start": 1616.43, "end": 1616.63, "word": " surface,", "probability": 0.73388671875}, {"start": 1616.77, "end": 1616.91, "word": " it", "probability": 0.1585693359375}, {"start": 1616.91, "end": 1617.07, "word": " is", "probability": 0.6455078125}, {"start": 1617.07, "end": 1617.07, "word": " possible", "probability": 0.86572265625}, {"start": 1617.07, "end": 1617.23, "word": " to", "probability": 0.8828125}, {"start": 1617.23, "end": 1617.55, "word": " consider", "probability": 0.7763671875}, {"start": 1617.55, "end": 1617.73, "word": " this", "probability": 0.7587890625}, {"start": 1617.73, "end": 1618.13, "word": " area", "probability": 0.455322265625}, {"start": 1618.13, "end": 1618.69, "word": " as", "probability": 0.73486328125}, {"start": 1618.69, "end": 1619.43, "word": " flat", "probability": 0.38037109375}, {"start": 1619.43, "end": 1619.91, "word": " as", "probability": 0.250244140625}, {"start": 1619.91, "end": 1619.95, "word": " the", "probability": 0.69384765625}, {"start": 1619.95, "end": 1620.33, "word": " area", "probability": 0.71533203125}, {"start": 1620.33, "end": 1621.01, "word": " on", "probability": 0.1754150390625}, {"start": 1621.01, "end": 1621.25, "word": " which", "probability": 0.875}, {"start": 1621.25, "end": 1621.25, "word": " it", "probability": 0.73779296875}, {"start": 1621.25, "end": 1621.25, "word": " fell.", "probability": 0.546875}, {"start": 1621.45, "end": 1621.79, "word": " So,", "probability": 0.66943359375}, {"start": 1621.91, "end": 1622.35, "word": " scientists", "probability": 0.52392578125}, {"start": 1622.35, "end": 1622.37, "word": " said", "probability": 0.7939453125}, {"start": 1622.37, "end": 1623.37, "word": " that", "probability": 0.284423828125}, {"start": 1623.37, "end": 1623.53, "word": " the", "probability": 0.45458984375}, {"start": 1623.53, "end": 1623.67, "word": " first", "probability": 0.86669921875}, {"start": 1623.67, "end": 1623.97, "word": " thing", "probability": 0.87744140625}, {"start": 1623.97, "end": 1624.21, "word": " we", "probability": 0.54296875}, {"start": 1624.21, "end": 1624.21, "word": " will", "probability": 0.419677734375}, {"start": 1624.21, "end": 1624.47, "word": " do", "probability": 0.9052734375}, {"start": 1624.47, "end": 1624.63, "word": " is", "probability": 0.916015625}, {"start": 1624.63, "end": 1625.09, "word": " ignoring", "probability": 0.4306640625}, {"start": 1625.09, "end": 1625.77, "word": " image", "probability": 0.5732421875}, {"start": 1625.77, "end": 1626.35, "word": " quality.", "probability": 0.86865234375}, {"start": 1626.49, "end": 1626.81, "word": " Excellent.", "probability": 0.424072265625}, {"start": 1627.69, "end": 1628.03, "word": " This", "probability": 0.67529296875}, {"start": 1628.03, "end": 1628.11, "word": " is", "probability": 0.253173828125}, {"start": 1628.11, "end": 1628.37, "word": " short", "probability": 0.2213134765625}, {"start": 1628.37, "end": 1628.57, "word": " for", "probability": 0.7431640625}, {"start": 1628.57, "end": 1629.03, "word": " 200", "probability": 0.3876953125}, {"start": 1629.03, "end": 1629.21, "word": " or", "probability": 0.74853515625}, {"start": 1629.21, "end": 1629.73, "word": " 300", "probability": 0.97900390625}, {"start": 1629.73, "end": 1630.09, "word": " rays,", "probability": 0.3330078125}, {"start": 1630.23, "end": 1630.33, "word": " not", "probability": 0.76220703125}, {"start": 1630.33, "end": 1630.51, "word": " two", "probability": 0.424072265625}, {"start": 1630.51, "end": 1630.65, "word": " rays.", "probability": 0.8974609375}, {"start": 1631.29, "end": 1631.57, "word": " Now", "probability": 0.5791015625}, {"start": 1631.57, "end": 1631.71, "word": " I", "probability": 0.7041015625}, {"start": 1631.71, "end": 1631.89, "word": " want", "probability": 0.78564453125}, {"start": 1631.89, "end": 1632.01, "word": " to", "probability": 0.96533203125}, {"start": 1632.01, "end": 1632.35, "word": " simplify", "probability": 0.93505859375}, {"start": 1632.35, "end": 1632.61, "word": " it", "probability": 0.316162109375}, {"start": 1632.61, "end": 1632.79, "word": " more.", "probability": 0.638671875}, {"start": 1632.95, "end": 1633.47, "word": " I", "probability": 0.81787109375}, {"start": 1633.47, "end": 1633.75, "word": " want", "probability": 0.60546875}, {"start": 1633.75, "end": 1633.81, "word": " to", "probability": 0.9619140625}, {"start": 1633.81, "end": 1634.09, "word": " choose", "probability": 0.85205078125}, {"start": 1634.09, "end": 1634.17, "word": " the", "probability": 0.44775390625}, {"start": 1634.17, "end": 1634.17, "word": " two", "probability": 0.70458984375}, {"start": 1634.17, "end": 1634.17, "word": " rays", "probability": 0.9599609375}, {"start": 1634.17, "end": 1634.45, "word": " not", "probability": 0.77880859375}, {"start": 1634.45, "end": 1634.69, "word": " far", "probability": 0.634765625}, {"start": 1634.69, "end": 1635.05, "word": " from", "probability": 0.80126953125}, {"start": 1635.05, "end": 1635.17, "word": " the", "probability": 0.9228515625}, {"start": 1635.17, "end": 1635.45, "word": " optical", "probability": 0.92236328125}, {"start": 1635.45, "end": 1635.93, "word": " axis.", "probability": 0.96923828125}, {"start": 1636.03, "end": 1636.07, "word": " I", "probability": 0.95166015625}, {"start": 1636.07, "end": 1636.23, "word": " want", "probability": 0.79638671875}, {"start": 1636.23, "end": 1636.29, "word": " to", "probability": 0.951171875}, {"start": 1636.29, "end": 1636.53, "word": " choose", "probability": 0.87255859375}, {"start": 1636.53, "end": 1636.75, "word": " them", "probability": 0.85400390625}, {"start": 1636.75, "end": 1637.01, "word": " close", "probability": 0.61572265625}, {"start": 1637.01, "end": 1637.25, "word": " to", "probability": 0.958984375}, {"start": 1637.25, "end": 1637.41, "word": " the", "probability": 0.92578125}, {"start": 1637.41, "end": 1637.77, "word": " optical", "probability": 0.9453125}, {"start": 1637.77, "end": 1638.25, "word": " axis.", "probability": 0.96142578125}, {"start": 1638.57, "end": 1638.97, "word": " Why?", "probability": 0.85693359375}], "temperature": 1.0}, {"id": 75, "seek": 166750, "start": 1640.94, "end": 1667.5, "text": "The paraxial ray is the surface of the spherical refracting surface, which is flat to them, just like the surface of the earth is considered to be flat to the human observer. For example, if a person comes down from a building or a tower, the surface of the earth appears to be flat to him, despite the fact that the surface of the earth is round. Why does the surface of the earth appear to be flat to him? Because it is very, very small compared to the surface of the earth.", "tokens": [2278, 1690, 87, 831, 18592, 307, 264, 3753, 295, 264, 37300, 45353, 278, 3753, 11, 597, 307, 4962, 281, 552, 11, 445, 411, 264, 3753, 295, 264, 4120, 307, 4888, 281, 312, 4962, 281, 264, 1952, 27878, 13, 1171, 1365, 11, 498, 257, 954, 1487, 760, 490, 257, 2390, 420, 257, 10567, 11, 264, 3753, 295, 264, 4120, 7038, 281, 312, 4962, 281, 796, 11, 7228, 264, 1186, 300, 264, 3753, 295, 264, 4120, 307, 3098, 13, 1545, 775, 264, 3753, 295, 264, 4120, 4204, 281, 312, 4962, 281, 796, 30, 1436, 309, 307, 588, 11, 588, 1359, 5347, 281, 264, 3753, 295, 264, 4120, 13], "avg_logprob": -0.613317772606823, "compression_ratio": 2.106194690265487, "no_speech_prob": 3.635883331298828e-06, "words": [{"start": 1640.9399999999998, "end": 1641.34, "word": "The", "probability": 0.18408203125}, {"start": 1641.34, "end": 1641.74, "word": " paraxial", "probability": 0.5609537760416666}, {"start": 1641.74, "end": 1642.0, "word": " ray", "probability": 0.8232421875}, {"start": 1642.0, "end": 1642.74, "word": " is", "probability": 0.73681640625}, {"start": 1642.74, "end": 1643.32, "word": " the", "probability": 0.243408203125}, {"start": 1643.32, "end": 1643.46, "word": " surface", "probability": 0.68359375}, {"start": 1643.46, "end": 1643.64, "word": " of", "probability": 0.9111328125}, {"start": 1643.64, "end": 1643.72, "word": " the", "probability": 0.471435546875}, {"start": 1643.72, "end": 1644.18, "word": " spherical", "probability": 0.8994140625}, {"start": 1644.18, "end": 1644.88, "word": " refracting", "probability": 0.71826171875}, {"start": 1644.88, "end": 1645.28, "word": " surface,", "probability": 0.779296875}, {"start": 1645.48, "end": 1645.5, "word": " which", "probability": 0.285888671875}, {"start": 1645.5, "end": 1646.06, "word": " is", "probability": 0.658203125}, {"start": 1646.06, "end": 1646.54, "word": " flat", "probability": 0.7275390625}, {"start": 1646.54, "end": 1646.74, "word": " to", "probability": 0.3271484375}, {"start": 1646.74, "end": 1646.74, "word": " them,", "probability": 0.395751953125}, {"start": 1647.02, "end": 1647.3, "word": " just", "probability": 0.338623046875}, {"start": 1647.3, "end": 1647.88, "word": " like", "probability": 0.71826171875}, {"start": 1647.88, "end": 1648.06, "word": " the", "probability": 0.84521484375}, {"start": 1648.06, "end": 1648.24, "word": " surface", "probability": 0.338134765625}, {"start": 1648.24, "end": 1648.38, "word": " of", "probability": 0.947265625}, {"start": 1648.38, "end": 1648.48, "word": " the", "probability": 0.77392578125}, {"start": 1648.48, "end": 1648.66, "word": " earth", "probability": 0.62890625}, {"start": 1648.66, "end": 1648.84, "word": " is", "probability": 0.79736328125}, {"start": 1648.84, "end": 1649.22, "word": " considered", "probability": 0.421630859375}, {"start": 1649.22, "end": 1649.92, "word": " to", "probability": 0.330810546875}, {"start": 1649.92, "end": 1650.16, "word": " be", "probability": 0.40966796875}, {"start": 1650.16, "end": 1650.16, "word": " flat", "probability": 0.3154296875}, {"start": 1650.16, "end": 1650.16, "word": " to", "probability": 0.748046875}, {"start": 1650.16, "end": 1650.16, "word": " the", "probability": 0.367431640625}, {"start": 1650.16, "end": 1650.52, "word": " human", "probability": 0.876953125}, {"start": 1650.52, "end": 1651.18, "word": " observer.", "probability": 0.8134765625}, {"start": 1651.3, "end": 1651.38, "word": " For", "probability": 0.11358642578125}, {"start": 1651.38, "end": 1651.42, "word": " example,", "probability": 0.79150390625}, {"start": 1651.42, "end": 1651.42, "word": " if", "probability": 0.2135009765625}, {"start": 1651.42, "end": 1651.6, "word": " a", "probability": 0.2005615234375}, {"start": 1651.6, "end": 1651.6, "word": " person", "probability": 0.646484375}, {"start": 1651.6, "end": 1651.78, "word": " comes", "probability": 0.1600341796875}, {"start": 1651.78, "end": 1651.88, "word": " down", "probability": 0.77685546875}, {"start": 1651.88, "end": 1652.02, "word": " from", "probability": 0.418701171875}, {"start": 1652.02, "end": 1652.1, "word": " a", "probability": 0.4697265625}, {"start": 1652.1, "end": 1652.32, "word": " building", "probability": 0.18359375}, {"start": 1652.32, "end": 1654.92, "word": " or", "probability": 0.471435546875}, {"start": 1654.92, "end": 1655.18, "word": " a", "probability": 0.2381591796875}, {"start": 1655.18, "end": 1655.64, "word": " tower,", "probability": 0.81005859375}, {"start": 1655.74, "end": 1655.86, "word": " the", "probability": 0.329345703125}, {"start": 1655.86, "end": 1656.48, "word": " surface", "probability": 0.22216796875}, {"start": 1656.48, "end": 1656.64, "word": " of", "probability": 0.89404296875}, {"start": 1656.64, "end": 1656.7, "word": " the", "probability": 0.88818359375}, {"start": 1656.7, "end": 1656.9, "word": " earth", "probability": 0.68115234375}, {"start": 1656.9, "end": 1657.06, "word": " appears", "probability": 0.2783203125}, {"start": 1657.06, "end": 1657.06, "word": " to", "probability": 0.609375}, {"start": 1657.06, "end": 1657.06, "word": " be", "probability": 0.6328125}, {"start": 1657.06, "end": 1657.3, "word": " flat", "probability": 0.54296875}, {"start": 1657.3, "end": 1657.52, "word": " to", "probability": 0.66943359375}, {"start": 1657.52, "end": 1657.52, "word": " him,", "probability": 0.81005859375}, {"start": 1657.76, "end": 1658.02, "word": " despite", "probability": 0.293212890625}, {"start": 1658.02, "end": 1658.46, "word": " the", "probability": 0.81689453125}, {"start": 1658.46, "end": 1658.72, "word": " fact", "probability": 0.93359375}, {"start": 1658.72, "end": 1659.12, "word": " that", "probability": 0.896484375}, {"start": 1659.12, "end": 1659.46, "word": " the", "probability": 0.58349609375}, {"start": 1659.46, "end": 1659.62, "word": " surface", "probability": 0.253662109375}, {"start": 1659.62, "end": 1659.76, "word": " of", "probability": 0.86376953125}, {"start": 1659.76, "end": 1659.84, "word": " the", "probability": 0.87939453125}, {"start": 1659.84, "end": 1660.02, "word": " earth", "probability": 0.888671875}, {"start": 1660.02, "end": 1660.14, "word": " is", "probability": 0.8603515625}, {"start": 1660.14, "end": 1660.38, "word": " round.", "probability": 0.07696533203125}, {"start": 1660.72, "end": 1660.98, "word": " Why", "probability": 0.70654296875}, {"start": 1660.98, "end": 1661.44, "word": " does", "probability": 0.54931640625}, {"start": 1661.44, "end": 1661.56, "word": " the", "probability": 0.646484375}, {"start": 1661.56, "end": 1661.82, "word": " surface", "probability": 0.45654296875}, {"start": 1661.82, "end": 1661.9, "word": " of", "probability": 0.8447265625}, {"start": 1661.9, "end": 1662.02, "word": " the", "probability": 0.88671875}, {"start": 1662.02, "end": 1662.22, "word": " earth", "probability": 0.888671875}, {"start": 1662.22, "end": 1662.34, "word": " appear", "probability": 0.517578125}, {"start": 1662.34, "end": 1662.34, "word": " to", "probability": 0.69482421875}, {"start": 1662.34, "end": 1662.34, "word": " be", "probability": 0.64794921875}, {"start": 1662.34, "end": 1662.66, "word": " flat", "probability": 0.86328125}, {"start": 1662.66, "end": 1662.74, "word": " to", "probability": 0.72900390625}, {"start": 1662.74, "end": 1662.74, "word": " him?", "probability": 0.755859375}, {"start": 1663.12, "end": 1663.52, "word": " Because", "probability": 0.8583984375}, {"start": 1663.52, "end": 1663.78, "word": " it", "probability": 0.356689453125}, {"start": 1663.78, "end": 1663.94, "word": " is", "probability": 0.8056640625}, {"start": 1663.94, "end": 1664.44, "word": " very,", "probability": 0.56298828125}, {"start": 1665.0, "end": 1665.98, "word": " very", "probability": 0.85888671875}, {"start": 1665.98, "end": 1666.16, "word": " small", "probability": 0.75439453125}, {"start": 1666.16, "end": 1666.52, "word": " compared", "probability": 0.27001953125}, {"start": 1666.52, "end": 1666.82, "word": " to", "probability": 0.97265625}, {"start": 1666.82, "end": 1666.92, "word": " the", "probability": 0.91162109375}, {"start": 1666.92, "end": 1667.08, "word": " surface", "probability": 0.70849609375}, {"start": 1667.08, "end": 1667.24, "word": " of", "probability": 0.9697265625}, {"start": 1667.24, "end": 1667.3, "word": " the", "probability": 0.912109375}, {"start": 1667.3, "end": 1667.5, "word": " earth.", "probability": 0.8447265625}], "temperature": 1.0}, {"id": 76, "seek": 169779, "start": 1673.29, "end": 1697.79, "text": "paraxial ray is considered to be very small compared to the lens. If we agree on this point, or scientists agree on this point, that the surface of the lens at the optical axis is almost flat, almost flat, then when I say that this paraxial ray hits the point C,", "tokens": [2181, 2797, 831, 18592, 307, 4888, 281, 312, 588, 1359, 5347, 281, 264, 6765, 13, 759, 321, 3986, 322, 341, 935, 11, 420, 7708, 3986, 322, 341, 935, 11, 300, 264, 3753, 295, 264, 6765, 412, 264, 20674, 10298, 307, 1920, 4962, 11, 1920, 4962, 11, 550, 562, 286, 584, 300, 341, 971, 2797, 831, 18592, 8664, 264, 935, 383, 11], "avg_logprob": -0.5937500105750176, "compression_ratio": 1.7124183006535947, "no_speech_prob": 1.6033649444580078e-05, "words": [{"start": 1673.29, "end": 1674.01, "word": "paraxial", "probability": 0.5673421223958334}, {"start": 1674.01, "end": 1674.29, "word": " ray", "probability": 0.78759765625}, {"start": 1674.29, "end": 1674.69, "word": " is", "probability": 0.237548828125}, {"start": 1674.69, "end": 1675.05, "word": " considered", "probability": 0.33251953125}, {"start": 1675.05, "end": 1675.27, "word": " to", "probability": 0.2724609375}, {"start": 1675.27, "end": 1675.27, "word": " be", "probability": 0.853515625}, {"start": 1675.27, "end": 1675.31, "word": " very", "probability": 0.353515625}, {"start": 1675.31, "end": 1675.65, "word": " small", "probability": 0.35693359375}, {"start": 1675.65, "end": 1676.99, "word": " compared", "probability": 0.2431640625}, {"start": 1676.99, "end": 1678.31, "word": " to", "probability": 0.94677734375}, {"start": 1678.31, "end": 1678.69, "word": " the", "probability": 0.463623046875}, {"start": 1678.69, "end": 1678.97, "word": " lens.", "probability": 0.5}, {"start": 1679.29, "end": 1679.75, "word": " If", "probability": 0.2301025390625}, {"start": 1679.75, "end": 1680.49, "word": " we", "probability": 0.5146484375}, {"start": 1680.49, "end": 1680.91, "word": " agree", "probability": 0.68505859375}, {"start": 1680.91, "end": 1681.17, "word": " on", "probability": 0.6767578125}, {"start": 1681.17, "end": 1681.43, "word": " this", "probability": 0.85009765625}, {"start": 1681.43, "end": 1681.95, "word": " point,", "probability": 0.334716796875}, {"start": 1682.97, "end": 1683.15, "word": " or", "probability": 0.52978515625}, {"start": 1683.15, "end": 1683.49, "word": " scientists", "probability": 0.435302734375}, {"start": 1683.49, "end": 1683.87, "word": " agree", "probability": 0.5556640625}, {"start": 1683.87, "end": 1684.03, "word": " on", "probability": 0.8193359375}, {"start": 1684.03, "end": 1684.29, "word": " this", "probability": 0.91650390625}, {"start": 1684.29, "end": 1684.69, "word": " point,", "probability": 0.9365234375}, {"start": 1684.81, "end": 1684.95, "word": " that", "probability": 0.5224609375}, {"start": 1684.95, "end": 1685.55, "word": " the", "probability": 0.66845703125}, {"start": 1685.55, "end": 1685.85, "word": " surface", "probability": 0.419677734375}, {"start": 1685.85, "end": 1686.19, "word": " of", "probability": 0.76171875}, {"start": 1686.19, "end": 1686.23, "word": " the", "probability": 0.8310546875}, {"start": 1686.23, "end": 1686.23, "word": " lens", "probability": 0.7939453125}, {"start": 1686.23, "end": 1686.23, "word": " at", "probability": 0.2152099609375}, {"start": 1686.23, "end": 1686.35, "word": " the", "probability": 0.8681640625}, {"start": 1686.35, "end": 1686.73, "word": " optical", "probability": 0.8984375}, {"start": 1686.73, "end": 1689.15, "word": " axis", "probability": 0.95654296875}, {"start": 1689.15, "end": 1689.41, "word": " is", "probability": 0.84423828125}, {"start": 1689.41, "end": 1689.95, "word": " almost", "probability": 0.489990234375}, {"start": 1689.95, "end": 1690.53, "word": " flat,", "probability": 0.927734375}, {"start": 1691.39, "end": 1691.71, "word": " almost", "probability": 0.472900390625}, {"start": 1691.71, "end": 1692.29, "word": " flat,", "probability": 0.88671875}, {"start": 1692.59, "end": 1692.75, "word": " then", "probability": 0.5185546875}, {"start": 1692.75, "end": 1693.17, "word": " when", "probability": 0.6181640625}, {"start": 1693.17, "end": 1693.45, "word": " I", "probability": 0.982421875}, {"start": 1693.45, "end": 1693.67, "word": " say", "probability": 0.9306640625}, {"start": 1693.67, "end": 1694.03, "word": " that", "probability": 0.54248046875}, {"start": 1694.03, "end": 1694.19, "word": " this", "probability": 0.7998046875}, {"start": 1694.19, "end": 1694.99, "word": " paraxial", "probability": 0.8011067708333334}, {"start": 1694.99, "end": 1695.37, "word": " ray", "probability": 0.92041015625}, {"start": 1695.37, "end": 1695.97, "word": " hits", "probability": 0.468994140625}, {"start": 1695.97, "end": 1696.43, "word": " the", "probability": 0.58642578125}, {"start": 1696.43, "end": 1696.87, "word": " point", "probability": 0.57568359375}, {"start": 1696.87, "end": 1697.79, "word": " C,", "probability": 0.346923828125}], "temperature": 1.0}, {"id": 77, "seek": 171950, "start": 1698.62, "end": 1719.5, "text": "In a flat surface, it is enough to say that this point C is away from the optical axis H And we're done, I don't want to build a basic coordinate system or sub-system, this is the work that I want to confuse myself in, this is the coordinate system, the basic events, and I want sub-events", "tokens": [4575, 257, 4962, 3753, 11, 309, 307, 1547, 281, 584, 300, 341, 935, 383, 307, 1314, 490, 264, 20674, 10298, 389, 400, 321, 434, 1096, 11, 286, 500, 380, 528, 281, 1322, 257, 3875, 15670, 1185, 420, 1422, 12, 28215, 11, 341, 307, 264, 589, 300, 286, 528, 281, 28584, 2059, 294, 11, 341, 307, 264, 15670, 1185, 11, 264, 3875, 3931, 11, 293, 286, 528, 1422, 12, 13379, 791], "avg_logprob": -0.5977112558526052, "compression_ratio": 1.6145251396648044, "no_speech_prob": 2.5033950805664062e-06, "words": [{"start": 1698.62, "end": 1698.76, "word": "In", "probability": 0.16943359375}, {"start": 1698.76, "end": 1699.52, "word": " a", "probability": 0.66748046875}, {"start": 1699.52, "end": 1699.94, "word": " flat", "probability": 0.86279296875}, {"start": 1699.94, "end": 1699.98, "word": " surface,", "probability": 0.7177734375}, {"start": 1700.36, "end": 1700.42, "word": " it", "probability": 0.556640625}, {"start": 1700.42, "end": 1700.56, "word": " is", "probability": 0.509765625}, {"start": 1700.56, "end": 1700.66, "word": " enough", "probability": 0.767578125}, {"start": 1700.66, "end": 1700.94, "word": " to", "probability": 0.6845703125}, {"start": 1700.94, "end": 1701.36, "word": " say", "probability": 0.8427734375}, {"start": 1701.36, "end": 1701.86, "word": " that", "probability": 0.67041015625}, {"start": 1701.86, "end": 1702.06, "word": " this", "probability": 0.4580078125}, {"start": 1702.06, "end": 1702.38, "word": " point", "probability": 0.277587890625}, {"start": 1702.38, "end": 1702.74, "word": " C", "probability": 0.53369140625}, {"start": 1702.74, "end": 1703.24, "word": " is", "probability": 0.57568359375}, {"start": 1703.24, "end": 1703.64, "word": " away", "probability": 0.28466796875}, {"start": 1703.64, "end": 1704.64, "word": " from", "probability": 0.79833984375}, {"start": 1704.64, "end": 1706.58, "word": " the", "probability": 0.64794921875}, {"start": 1706.58, "end": 1706.82, "word": " optical", "probability": 0.436279296875}, {"start": 1706.82, "end": 1707.44, "word": " axis", "probability": 0.96923828125}, {"start": 1707.44, "end": 1707.44, "word": " H", "probability": 0.350341796875}, {"start": 1707.44, "end": 1707.62, "word": " And", "probability": 0.1514892578125}, {"start": 1707.62, "end": 1708.36, "word": " we're", "probability": 0.5228271484375}, {"start": 1708.36, "end": 1708.36, "word": " done,", "probability": 0.8837890625}, {"start": 1708.5, "end": 1708.76, "word": " I", "probability": 0.489501953125}, {"start": 1708.76, "end": 1708.82, "word": " don't", "probability": 0.88623046875}, {"start": 1708.82, "end": 1709.0, "word": " want", "probability": 0.53955078125}, {"start": 1709.0, "end": 1709.16, "word": " to", "probability": 0.953125}, {"start": 1709.16, "end": 1709.34, "word": " build", "probability": 0.810546875}, {"start": 1709.34, "end": 1709.5, "word": " a", "probability": 0.7548828125}, {"start": 1709.5, "end": 1709.8, "word": " basic", "probability": 0.1702880859375}, {"start": 1709.8, "end": 1709.8, "word": " coordinate", "probability": 0.65185546875}, {"start": 1709.8, "end": 1711.12, "word": " system", "probability": 0.95654296875}, {"start": 1711.12, "end": 1711.52, "word": " or", "probability": 0.67822265625}, {"start": 1711.52, "end": 1711.76, "word": " sub", "probability": 0.2322998046875}, {"start": 1711.76, "end": 1712.02, "word": "-system,", "probability": 0.5850830078125}, {"start": 1712.08, "end": 1712.46, "word": " this", "probability": 0.3828125}, {"start": 1712.46, "end": 1712.48, "word": " is", "probability": 0.68310546875}, {"start": 1712.48, "end": 1712.64, "word": " the", "probability": 0.50634765625}, {"start": 1712.64, "end": 1712.84, "word": " work", "probability": 0.447021484375}, {"start": 1712.84, "end": 1713.06, "word": " that", "probability": 0.58251953125}, {"start": 1713.06, "end": 1713.36, "word": " I", "probability": 0.80322265625}, {"start": 1713.36, "end": 1714.04, "word": " want", "probability": 0.64599609375}, {"start": 1714.04, "end": 1714.18, "word": " to", "probability": 0.9599609375}, {"start": 1714.18, "end": 1714.5, "word": " confuse", "probability": 0.2379150390625}, {"start": 1714.5, "end": 1714.88, "word": " myself", "probability": 0.82470703125}, {"start": 1714.88, "end": 1715.1, "word": " in,", "probability": 0.35888671875}, {"start": 1715.18, "end": 1715.3, "word": " this", "probability": 0.55029296875}, {"start": 1715.3, "end": 1715.3, "word": " is", "probability": 0.418212890625}, {"start": 1715.3, "end": 1715.7, "word": " the", "probability": 0.82421875}, {"start": 1715.7, "end": 1716.08, "word": " coordinate", "probability": 0.418212890625}, {"start": 1716.08, "end": 1716.74, "word": " system,", "probability": 0.95654296875}, {"start": 1716.94, "end": 1717.0, "word": " the", "probability": 0.70556640625}, {"start": 1717.0, "end": 1717.84, "word": " basic", "probability": 0.56396484375}, {"start": 1717.84, "end": 1717.84, "word": " events,", "probability": 0.195068359375}, {"start": 1718.18, "end": 1718.24, "word": " and", "probability": 0.7587890625}, {"start": 1718.24, "end": 1718.3, "word": " I", "probability": 0.95849609375}, {"start": 1718.3, "end": 1718.42, "word": " want", "probability": 0.82275390625}, {"start": 1718.42, "end": 1719.18, "word": " sub", "probability": 0.93896484375}, {"start": 1719.18, "end": 1719.5, "word": "-events", "probability": 0.735595703125}], "temperature": 1.0}, {"id": 78, "seek": 173277, "start": 1721.71, "end": 1732.77, "text": "I follow the red line for example, I don't want to draw two systems, one basic and one sub-system. No, I want to consider the surface at the para-axial region flat", "tokens": [40, 1524, 264, 2182, 1622, 337, 1365, 11, 286, 500, 380, 528, 281, 2642, 732, 3652, 11, 472, 3875, 293, 472, 1422, 12, 28215, 13, 883, 11, 286, 528, 281, 1949, 264, 3753, 412, 264, 1690, 12, 2797, 831, 4458, 4962], "avg_logprob": -0.6543898823715392, "compression_ratio": 1.3471074380165289, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 1721.71, "end": 1722.19, "word": "I", "probability": 0.560546875}, {"start": 1722.19, "end": 1722.67, "word": " follow", "probability": 0.1260986328125}, {"start": 1722.67, "end": 1723.05, "word": " the", "probability": 0.474365234375}, {"start": 1723.05, "end": 1723.41, "word": " red", "probability": 0.62939453125}, {"start": 1723.41, "end": 1723.41, "word": " line", "probability": 0.252685546875}, {"start": 1723.41, "end": 1723.51, "word": " for", "probability": 0.197021484375}, {"start": 1723.51, "end": 1723.71, "word": " example,", "probability": 0.83056640625}, {"start": 1724.81, "end": 1725.01, "word": " I", "probability": 0.25048828125}, {"start": 1725.01, "end": 1725.53, "word": " don't", "probability": 0.658203125}, {"start": 1725.53, "end": 1725.53, "word": " want", "probability": 0.52880859375}, {"start": 1725.53, "end": 1725.53, "word": " to", "probability": 0.91162109375}, {"start": 1725.53, "end": 1725.77, "word": " draw", "probability": 0.7685546875}, {"start": 1725.77, "end": 1725.97, "word": " two", "probability": 0.63134765625}, {"start": 1725.97, "end": 1726.35, "word": " systems,", "probability": 0.81103515625}, {"start": 1726.83, "end": 1726.83, "word": " one", "probability": 0.81689453125}, {"start": 1726.83, "end": 1728.07, "word": " basic", "probability": 0.259521484375}, {"start": 1728.07, "end": 1728.35, "word": " and", "probability": 0.646484375}, {"start": 1728.35, "end": 1728.59, "word": " one", "probability": 0.69677734375}, {"start": 1728.59, "end": 1728.75, "word": " sub", "probability": 0.358154296875}, {"start": 1728.75, "end": 1728.95, "word": "-system.", "probability": 0.4803466796875}, {"start": 1729.05, "end": 1729.09, "word": " No,", "probability": 0.5263671875}, {"start": 1729.55, "end": 1729.73, "word": " I", "probability": 0.9482421875}, {"start": 1729.73, "end": 1729.93, "word": " want", "probability": 0.79248046875}, {"start": 1729.93, "end": 1730.05, "word": " to", "probability": 0.92724609375}, {"start": 1730.05, "end": 1730.39, "word": " consider", "probability": 0.6396484375}, {"start": 1730.39, "end": 1730.59, "word": " the", "probability": 0.8037109375}, {"start": 1730.59, "end": 1730.83, "word": " surface", "probability": 0.56591796875}, {"start": 1730.83, "end": 1731.11, "word": " at", "probability": 0.190673828125}, {"start": 1731.11, "end": 1731.31, "word": " the", "probability": 0.740234375}, {"start": 1731.31, "end": 1731.57, "word": " para", "probability": 0.421875}, {"start": 1731.57, "end": 1732.07, "word": "-axial", "probability": 0.7456868489583334}, {"start": 1732.07, "end": 1732.43, "word": " region", "probability": 0.93603515625}, {"start": 1732.43, "end": 1732.77, "word": " flat", "probability": 0.415771484375}], "temperature": 1.0}, {"id": 79, "seek": 175570, "start": 1733.74, "end": 1755.7, "text": "You consider it flat, and it is enough for me to say that the C-ray, the C-ray hit at a point that is flat on the surface, and this flat surface or this point that is H away from the optical axis, and that's how we simplify calculations and cancel out the topic of modernity and the roots of education and so on and so forth", "tokens": [3223, 1949, 309, 4962, 11, 293, 309, 307, 1547, 337, 385, 281, 584, 300, 264, 383, 12, 3458, 11, 264, 383, 12, 3458, 2045, 412, 257, 935, 300, 307, 4962, 322, 264, 3753, 11, 293, 341, 4962, 3753, 420, 341, 935, 300, 307, 389, 1314, 490, 264, 20674, 10298, 11, 293, 300, 311, 577, 321, 20460, 20448, 293, 10373, 484, 264, 4829, 295, 4363, 507, 293, 264, 10669, 295, 3309, 293, 370, 322, 293, 370, 5220], "avg_logprob": -0.5945616852153431, "compression_ratio": 1.7234042553191489, "no_speech_prob": 4.291534423828125e-06, "words": [{"start": 1733.74, "end": 1733.9, "word": "You", "probability": 0.1475830078125}, {"start": 1733.9, "end": 1734.2, "word": " consider", "probability": 0.62548828125}, {"start": 1734.2, "end": 1734.32, "word": " it", "probability": 0.80712890625}, {"start": 1734.32, "end": 1734.62, "word": " flat,", "probability": 0.689453125}, {"start": 1734.94, "end": 1735.08, "word": " and", "probability": 0.767578125}, {"start": 1735.08, "end": 1735.2, "word": " it", "probability": 0.54248046875}, {"start": 1735.2, "end": 1735.24, "word": " is", "probability": 0.411865234375}, {"start": 1735.24, "end": 1735.34, "word": " enough", "probability": 0.80419921875}, {"start": 1735.34, "end": 1735.5, "word": " for", "probability": 0.338623046875}, {"start": 1735.5, "end": 1735.64, "word": " me", "probability": 0.875}, {"start": 1735.64, "end": 1735.7, "word": " to", "probability": 0.96728515625}, {"start": 1735.7, "end": 1735.82, "word": " say", "probability": 0.931640625}, {"start": 1735.82, "end": 1735.96, "word": " that", "probability": 0.7236328125}, {"start": 1735.96, "end": 1736.02, "word": " the", "probability": 0.6259765625}, {"start": 1736.02, "end": 1736.12, "word": " C", "probability": 0.0226593017578125}, {"start": 1736.12, "end": 1736.3, "word": "-ray,", "probability": 0.1327056884765625}, {"start": 1736.88, "end": 1737.24, "word": " the", "probability": 0.6982421875}, {"start": 1737.24, "end": 1737.86, "word": " C", "probability": 0.96728515625}, {"start": 1737.86, "end": 1737.98, "word": "-ray", "probability": 0.9638671875}, {"start": 1737.98, "end": 1738.76, "word": " hit", "probability": 0.477783203125}, {"start": 1738.76, "end": 1739.04, "word": " at", "probability": 0.478515625}, {"start": 1739.04, "end": 1739.2, "word": " a", "probability": 0.8623046875}, {"start": 1739.2, "end": 1739.42, "word": " point", "probability": 0.95947265625}, {"start": 1739.42, "end": 1739.72, "word": " that", "probability": 0.342529296875}, {"start": 1739.72, "end": 1739.9, "word": " is", "probability": 0.57080078125}, {"start": 1739.9, "end": 1740.08, "word": " flat", "probability": 0.299560546875}, {"start": 1740.08, "end": 1740.08, "word": " on", "probability": 0.58154296875}, {"start": 1740.08, "end": 1740.08, "word": " the", "probability": 0.92138671875}, {"start": 1740.08, "end": 1740.48, "word": " surface,", "probability": 0.71142578125}, {"start": 1741.44, "end": 1741.68, "word": " and", "probability": 0.888671875}, {"start": 1741.68, "end": 1741.86, "word": " this", "probability": 0.74609375}, {"start": 1741.86, "end": 1742.2, "word": " flat", "probability": 0.46923828125}, {"start": 1742.2, "end": 1742.26, "word": " surface", "probability": 0.8720703125}, {"start": 1742.26, "end": 1742.68, "word": " or", "probability": 0.434814453125}, {"start": 1742.68, "end": 1743.02, "word": " this", "probability": 0.65380859375}, {"start": 1743.02, "end": 1743.34, "word": " point", "probability": 0.93701171875}, {"start": 1743.34, "end": 1743.8, "word": " that", "probability": 0.45751953125}, {"start": 1743.8, "end": 1744.0, "word": " is", "probability": 0.7841796875}, {"start": 1744.0, "end": 1744.3, "word": " H", "probability": 0.195556640625}, {"start": 1744.3, "end": 1744.68, "word": " away", "probability": 0.478515625}, {"start": 1744.68, "end": 1746.02, "word": " from", "probability": 0.89013671875}, {"start": 1746.02, "end": 1746.32, "word": " the", "probability": 0.88330078125}, {"start": 1746.32, "end": 1746.66, "word": " optical", "probability": 0.93408203125}, {"start": 1746.66, "end": 1747.28, "word": " axis,", "probability": 0.9736328125}, {"start": 1747.5, "end": 1747.72, "word": " and", "probability": 0.80908203125}, {"start": 1747.72, "end": 1747.92, "word": " that's", "probability": 0.5277099609375}, {"start": 1747.92, "end": 1747.98, "word": " how", "probability": 0.8486328125}, {"start": 1747.98, "end": 1748.46, "word": " we", "probability": 0.94140625}, {"start": 1748.46, "end": 1749.6, "word": " simplify", "probability": 0.30859375}, {"start": 1749.6, "end": 1750.32, "word": " calculations", "probability": 0.5615234375}, {"start": 1750.32, "end": 1750.62, "word": " and", "probability": 0.71875}, {"start": 1750.62, "end": 1750.9, "word": " cancel", "probability": 0.488525390625}, {"start": 1750.9, "end": 1751.18, "word": " out", "probability": 0.57373046875}, {"start": 1751.18, "end": 1751.18, "word": " the", "probability": 0.50390625}, {"start": 1751.18, "end": 1751.34, "word": " topic", "probability": 0.380615234375}, {"start": 1751.34, "end": 1751.48, "word": " of", "probability": 0.95458984375}, {"start": 1751.48, "end": 1752.18, "word": " modernity", "probability": 0.280242919921875}, {"start": 1752.18, "end": 1752.42, "word": " and", "probability": 0.8486328125}, {"start": 1752.42, "end": 1752.42, "word": " the", "probability": 0.275146484375}, {"start": 1752.42, "end": 1752.68, "word": " roots", "probability": 0.321533203125}, {"start": 1752.68, "end": 1752.94, "word": " of", "probability": 0.92626953125}, {"start": 1752.94, "end": 1753.36, "word": " education", "probability": 0.71533203125}, {"start": 1753.36, "end": 1753.6, "word": " and", "probability": 0.7666015625}, {"start": 1753.6, "end": 1753.78, "word": " so", "probability": 0.80810546875}, {"start": 1753.78, "end": 1754.18, "word": " on", "probability": 0.7958984375}, {"start": 1754.18, "end": 1755.08, "word": " and", "probability": 0.7333984375}, {"start": 1755.08, "end": 1755.34, "word": " so", "probability": 0.95556640625}, {"start": 1755.34, "end": 1755.7, "word": " forth", "probability": 0.90087890625}], "temperature": 1.0}, {"id": 80, "seek": 178182, "start": 1759.76, "end": 1781.82, "text": "هذه مثال على ال para axial ray، طبعا السطح هنا تقريبا flat بالنسبة لل para axial ray، و هنا هيكون أكثر انحناء، أكثر انحناء عند ال periphery، أكثر انحناء عند ال periphery، يعني هنا عند ال .. عند ال .. ال optical axis تقريبا flat، بنقولش flat، تقريبا approximation، و بنكونش بعيدنا كتير عن الصحيح", "tokens": [3224, 24192, 50113, 6027, 15844, 2423, 1690, 46851, 18592, 12399, 23032, 3555, 3615, 995, 21136, 9566, 5016, 34105, 6055, 4587, 16572, 3555, 995, 4962, 20666, 1863, 35457, 3660, 24976, 1690, 46851, 18592, 12399, 4032, 34105, 39896, 30544, 5551, 4117, 49115, 16472, 5016, 1863, 16606, 12399, 5551, 4117, 49115, 16472, 5016, 1863, 16606, 43242, 2423, 26807, 88, 12399, 5551, 4117, 49115, 16472, 5016, 1863, 16606, 43242, 2423, 26807, 88, 12399, 37495, 22653, 34105, 43242, 2423, 4386, 43242, 2423, 4386, 2423, 20674, 10298, 6055, 4587, 16572, 3555, 995, 4962, 12399, 44945, 39648, 8592, 4962, 12399, 6055, 4587, 16572, 3555, 995, 28023, 12399, 4032, 44945, 30544, 8592, 45030, 25708, 8315, 9122, 2655, 13546, 18871, 31767, 5016, 1829, 5016], "avg_logprob": -0.17322198134557953, "compression_ratio": 1.9652173913043478, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1759.76, "end": 1760.0, "word": "هذه", "probability": 0.2890625}, {"start": 1760.0, "end": 1760.36, "word": " مثال", "probability": 0.9814453125}, {"start": 1760.36, "end": 1760.48, "word": " على", "probability": 0.70849609375}, {"start": 1760.48, "end": 1760.62, "word": " ال", "probability": 0.9609375}, {"start": 1760.62, "end": 1760.78, "word": " para", "probability": 0.265869140625}, {"start": 1760.78, "end": 1761.24, "word": " axial", "probability": 0.5}, {"start": 1761.24, "end": 1761.68, "word": " ray،", "probability": 0.6187744140625}, {"start": 1761.68, "end": 1761.96, "word": " طبعا", "probability": 0.9532470703125}, {"start": 1761.96, "end": 1762.38, "word": " السطح", "probability": 0.8075358072916666}, {"start": 1762.38, "end": 1762.58, "word": " هنا", "probability": 0.90234375}, {"start": 1762.58, "end": 1763.2, "word": " تقريبا", "probability": 0.9904296875}, {"start": 1763.2, "end": 1763.64, "word": " flat", "probability": 0.85595703125}, {"start": 1763.64, "end": 1764.48, "word": " بالنسبة", "probability": 0.9759521484375}, {"start": 1764.48, "end": 1764.62, "word": " لل", "probability": 0.6591796875}, {"start": 1764.62, "end": 1764.9, "word": " para", "probability": 0.447021484375}, {"start": 1764.9, "end": 1765.26, "word": " axial", "probability": 0.9150390625}, {"start": 1765.26, "end": 1765.62, "word": " ray،", "probability": 0.845703125}, {"start": 1765.62, "end": 1765.68, "word": " و", "probability": 0.61181640625}, {"start": 1765.68, "end": 1765.8, "word": " هنا", "probability": 0.646484375}, {"start": 1765.8, "end": 1766.32, "word": " هيكون", "probability": 0.773681640625}, {"start": 1766.32, "end": 1767.3, "word": " أكثر", "probability": 0.8912760416666666}, {"start": 1767.3, "end": 1768.14, "word": " انحناء،", "probability": 0.82080078125}, {"start": 1768.14, "end": 1769.18, "word": " أكثر", "probability": 0.8902994791666666}, {"start": 1769.18, "end": 1769.7, "word": " انحناء", "probability": 0.926513671875}, {"start": 1769.7, "end": 1770.06, "word": " عند", "probability": 0.95703125}, {"start": 1770.06, "end": 1770.26, "word": " ال", "probability": 0.99169921875}, {"start": 1770.26, "end": 1770.72, "word": " periphery،", "probability": 0.95947265625}, {"start": 1770.72, "end": 1771.06, "word": " أكثر", "probability": 0.9103190104166666}, {"start": 1771.06, "end": 1771.5, "word": " انحناء", "probability": 0.930908203125}, {"start": 1771.5, "end": 1771.76, "word": " عند", "probability": 0.98193359375}, {"start": 1771.76, "end": 1771.9, "word": " ال", "probability": 0.994140625}, {"start": 1771.9, "end": 1772.26, "word": " periphery،", "probability": 0.9306640625}, {"start": 1772.26, "end": 1772.38, "word": " يعني", "probability": 0.933837890625}, {"start": 1772.38, "end": 1772.56, "word": " هنا", "probability": 0.83203125}, {"start": 1772.56, "end": 1772.76, "word": " عند", "probability": 0.9833984375}, {"start": 1772.76, "end": 1772.96, "word": " ال", "probability": 0.9521484375}, {"start": 1772.96, "end": 1773.1, "word": " ..", "probability": 0.78955078125}, {"start": 1773.1, "end": 1773.64, "word": " عند", "probability": 0.96630859375}, {"start": 1773.64, "end": 1773.94, "word": " ال", "probability": 0.98779296875}, {"start": 1773.94, "end": 1773.94, "word": " ..", "probability": 0.488037109375}, {"start": 1773.94, "end": 1774.12, "word": " ال", "probability": 0.9169921875}, {"start": 1774.12, "end": 1774.44, "word": " optical", "probability": 0.98388671875}, {"start": 1774.44, "end": 1775.14, "word": " axis", "probability": 0.94140625}, {"start": 1775.14, "end": 1776.06, "word": " تقريبا", "probability": 0.9857421875}, {"start": 1776.06, "end": 1776.48, "word": " flat،", "probability": 0.93798828125}, {"start": 1776.48, "end": 1776.96, "word": " بنقولش", "probability": 0.7167154947916666}, {"start": 1776.96, "end": 1777.48, "word": " flat،", "probability": 0.64794921875}, {"start": 1777.48, "end": 1777.92, "word": " تقريبا", "probability": 0.99638671875}, {"start": 1777.92, "end": 1779.12, "word": " approximation،", "probability": 0.771484375}, {"start": 1779.12, "end": 1779.28, "word": " و", "probability": 0.7919921875}, {"start": 1779.28, "end": 1779.8, "word": " بنكونش", "probability": 0.9485677083333334}, {"start": 1779.8, "end": 1780.24, "word": " بعيدنا", "probability": 0.9402669270833334}, {"start": 1780.24, "end": 1780.6, "word": " كتير", "probability": 0.98974609375}, {"start": 1780.6, "end": 1780.94, "word": " عن", "probability": 0.97802734375}, {"start": 1780.94, "end": 1781.82, "word": " الصحيح", "probability": 0.9798583984375}], "temperature": 1.0}, {"id": 81, "seek": 179319, "start": 1785.39, "end": 1793.19, "text": "For a ray to be para-axial, it must hug the optical axis over its entire course from the object to the image", "tokens": [12587, 257, 18592, 281, 312, 1690, 12, 2797, 831, 11, 309, 1633, 8777, 264, 20674, 10298, 670, 1080, 2302, 1164, 490, 264, 2657, 281, 264, 3256], "avg_logprob": -0.2262731503557276, "compression_ratio": 1.2, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1785.39, "end": 1785.71, "word": "For", "probability": 0.69677734375}, {"start": 1785.71, "end": 1785.97, "word": " a", "probability": 0.9462890625}, {"start": 1785.97, "end": 1786.09, "word": " ray", "probability": 0.94970703125}, {"start": 1786.09, "end": 1786.31, "word": " to", "probability": 0.97802734375}, {"start": 1786.31, "end": 1786.57, "word": " be", "probability": 0.95947265625}, {"start": 1786.57, "end": 1786.83, "word": " para", "probability": 0.66064453125}, {"start": 1786.83, "end": 1787.31, "word": "-axial,", "probability": 0.756103515625}, {"start": 1787.47, "end": 1787.63, "word": " it", "probability": 0.95947265625}, {"start": 1787.63, "end": 1788.07, "word": " must", "probability": 0.88037109375}, {"start": 1788.07, "end": 1788.47, "word": " hug", "probability": 0.953125}, {"start": 1788.47, "end": 1788.79, "word": " the", "probability": 0.9052734375}, {"start": 1788.79, "end": 1789.29, "word": " optical", "probability": 0.9365234375}, {"start": 1789.29, "end": 1789.89, "word": " axis", "probability": 0.93017578125}, {"start": 1789.89, "end": 1790.39, "word": " over", "probability": 0.86767578125}, {"start": 1790.39, "end": 1790.77, "word": " its", "probability": 0.89013671875}, {"start": 1790.77, "end": 1791.33, "word": " entire", "probability": 0.88232421875}, {"start": 1791.33, "end": 1791.77, "word": " course", "probability": 0.9775390625}, {"start": 1791.77, "end": 1792.05, "word": " from", "probability": 0.83740234375}, {"start": 1792.05, "end": 1792.25, "word": " the", "probability": 0.8330078125}, {"start": 1792.25, "end": 1792.59, "word": " object", "probability": 0.97607421875}, {"start": 1792.59, "end": 1792.81, "word": " to", "probability": 0.97021484375}, {"start": 1792.81, "end": 1792.95, "word": " the", "probability": 0.9208984375}, {"start": 1792.95, "end": 1793.19, "word": " image", "probability": 0.931640625}], "temperature": 1.0}, {"id": 82, "seek": 182162, "start": 1812.86, "end": 1821.62, "text": "A ray from an object point far off-axis is not para-axial even if it strikes the refracting surface near the axis.", "tokens": [32, 18592, 490, 364, 2657, 935, 1400, 766, 12, 24633, 307, 406, 1690, 12, 2797, 831, 754, 498, 309, 16750, 264, 45353, 278, 3753, 2651, 264, 10298, 13], "avg_logprob": -0.3248922537113058, "compression_ratio": 1.2127659574468086, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1812.86, "end": 1813.14, "word": "A", "probability": 0.211669921875}, {"start": 1813.14, "end": 1813.3, "word": " ray", "probability": 0.8994140625}, {"start": 1813.3, "end": 1813.52, "word": " from", "probability": 0.8671875}, {"start": 1813.52, "end": 1813.84, "word": " an", "probability": 0.92333984375}, {"start": 1813.84, "end": 1814.16, "word": " object", "probability": 0.93798828125}, {"start": 1814.16, "end": 1814.74, "word": " point", "probability": 0.9443359375}, {"start": 1814.74, "end": 1815.24, "word": " far", "probability": 0.75927734375}, {"start": 1815.24, "end": 1815.54, "word": " off", "probability": 0.802734375}, {"start": 1815.54, "end": 1816.06, "word": "-axis", "probability": 0.5985107421875}, {"start": 1816.06, "end": 1816.5, "word": " is", "probability": 0.88134765625}, {"start": 1816.5, "end": 1816.86, "word": " not", "probability": 0.9404296875}, {"start": 1816.86, "end": 1817.1, "word": " para", "probability": 0.68212890625}, {"start": 1817.1, "end": 1817.6, "word": "-axial", "probability": 0.7928059895833334}, {"start": 1817.6, "end": 1818.08, "word": " even", "probability": 0.658203125}, {"start": 1818.08, "end": 1818.38, "word": " if", "probability": 0.93896484375}, {"start": 1818.38, "end": 1818.86, "word": " it", "probability": 0.951171875}, {"start": 1818.86, "end": 1819.4, "word": " strikes", "probability": 0.8671875}, {"start": 1819.4, "end": 1819.62, "word": " the", "probability": 0.8369140625}, {"start": 1819.62, "end": 1820.2, "word": " refracting", "probability": 0.800048828125}, {"start": 1820.2, "end": 1820.66, "word": " surface", "probability": 0.880859375}, {"start": 1820.66, "end": 1820.98, "word": " near", "probability": 0.8759765625}, {"start": 1820.98, "end": 1821.22, "word": " the", "probability": 0.87451171875}, {"start": 1821.22, "end": 1821.62, "word": " axis.", "probability": 0.9697265625}], "temperature": 1.0}, {"id": 83, "seek": 186288, "start": 1835.66, "end": 1862.88, "text": "لا يعتبر para axial ray. Treating a lens as a flat plane instead of a sphere eliminates the calculation necessary to find the intersection of the ray and the surface. لما أنا بتعامل مع السطح عند ال optical axis مع سطح العدسة عند ال optical axis على أساس أنه flat هذا بلغيلي قضية الحسابات واني جيب ال coordinate الإحداثيات", "tokens": [15040, 7251, 34268, 26890, 1690, 46851, 18592, 13, 20298, 278, 257, 6765, 382, 257, 4962, 5720, 2602, 295, 257, 16687, 49893, 264, 17108, 4818, 281, 915, 264, 15236, 295, 264, 18592, 293, 264, 3753, 13, 5296, 15042, 41850, 39894, 3615, 10943, 1211, 20449, 21136, 9566, 5016, 43242, 2423, 20674, 10298, 20449, 8608, 9566, 5016, 18863, 3215, 3794, 3660, 43242, 2423, 20674, 10298, 15844, 5551, 3794, 32277, 14739, 3224, 4962, 23758, 4724, 1211, 17082, 1829, 20292, 12174, 11242, 10632, 21542, 3794, 16758, 9307, 4032, 7649, 1829, 10874, 1829, 3555, 2423, 15670, 33688, 24401, 5718, 104, 1829, 9307], "avg_logprob": -0.22084407216494845, "compression_ratio": 1.553903345724907, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 1835.66, "end": 1835.84, "word": "لا", "probability": 0.05584716796875}, {"start": 1835.84, "end": 1836.32, "word": " يعتبر", "probability": 0.8876953125}, {"start": 1836.32, "end": 1836.6, "word": " para", "probability": 0.4755859375}, {"start": 1836.6, "end": 1837.02, "word": " axial", "probability": 0.459716796875}, {"start": 1837.02, "end": 1837.3, "word": " ray.", "probability": 0.80419921875}, {"start": 1837.58, "end": 1838.38, "word": " Treating", "probability": 0.75146484375}, {"start": 1838.38, "end": 1838.6, "word": " a", "probability": 0.9677734375}, {"start": 1838.6, "end": 1838.86, "word": " lens", "probability": 0.91552734375}, {"start": 1838.86, "end": 1839.26, "word": " as", "probability": 0.97119140625}, {"start": 1839.26, "end": 1839.42, "word": " a", "probability": 0.75341796875}, {"start": 1839.42, "end": 1839.8, "word": " flat", "probability": 0.908203125}, {"start": 1839.8, "end": 1842.5, "word": " plane", "probability": 0.857421875}, {"start": 1842.5, "end": 1843.44, "word": " instead", "probability": 0.5361328125}, {"start": 1843.44, "end": 1843.84, "word": " of", "probability": 0.9775390625}, {"start": 1843.84, "end": 1844.0, "word": " a", "probability": 0.47802734375}, {"start": 1844.0, "end": 1844.28, "word": " sphere", "probability": 0.93212890625}, {"start": 1844.28, "end": 1844.94, "word": " eliminates", "probability": 0.9384765625}, {"start": 1844.94, "end": 1845.4, "word": " the", "probability": 0.91259765625}, {"start": 1845.4, "end": 1846.0, "word": " calculation", "probability": 0.822265625}, {"start": 1846.0, "end": 1846.76, "word": " necessary", "probability": 0.96337890625}, {"start": 1846.76, "end": 1847.34, "word": " to", "probability": 0.97509765625}, {"start": 1847.34, "end": 1847.7, "word": " find", "probability": 0.89794921875}, {"start": 1847.7, "end": 1847.88, "word": " the", "probability": 0.9150390625}, {"start": 1847.88, "end": 1848.5, "word": " intersection", "probability": 0.89111328125}, {"start": 1848.5, "end": 1848.88, "word": " of", "probability": 0.95703125}, {"start": 1848.88, "end": 1849.04, "word": " the", "probability": 0.91162109375}, {"start": 1849.04, "end": 1849.2, "word": " ray", "probability": 0.943359375}, {"start": 1849.2, "end": 1849.46, "word": " and", "probability": 0.93994140625}, {"start": 1849.46, "end": 1849.6, "word": " the", "probability": 0.73974609375}, {"start": 1849.6, "end": 1849.9, "word": " surface.", "probability": 0.84814453125}, {"start": 1850.3, "end": 1850.52, "word": " لما", "probability": 0.75341796875}, {"start": 1850.52, "end": 1850.74, "word": " أنا", "probability": 0.81298828125}, {"start": 1850.74, "end": 1851.4, "word": " بتعامل", "probability": 0.9140625}, {"start": 1851.4, "end": 1851.58, "word": " مع", "probability": 0.97607421875}, {"start": 1851.58, "end": 1852.06, "word": " السطح", "probability": 0.82177734375}, {"start": 1852.06, "end": 1852.32, "word": " عند", "probability": 0.7548828125}, {"start": 1852.32, "end": 1852.5, "word": " ال", "probability": 0.7763671875}, {"start": 1852.5, "end": 1852.92, "word": " optical", "probability": 0.89599609375}, {"start": 1852.92, "end": 1853.46, "word": " axis", "probability": 0.90625}, {"start": 1853.46, "end": 1853.74, "word": " مع", "probability": 0.58447265625}, {"start": 1853.74, "end": 1854.06, "word": " سطح", "probability": 0.97998046875}, {"start": 1854.06, "end": 1854.7, "word": " العدسة", "probability": 0.9757080078125}, {"start": 1854.7, "end": 1855.26, "word": " عند", "probability": 0.9677734375}, {"start": 1855.26, "end": 1855.4, "word": " ال", "probability": 0.9833984375}, {"start": 1855.4, "end": 1855.76, "word": " optical", "probability": 0.97802734375}, {"start": 1855.76, "end": 1856.3, "word": " axis", "probability": 0.94677734375}, {"start": 1856.3, "end": 1856.56, "word": " على", "probability": 0.89404296875}, {"start": 1856.56, "end": 1857.12, "word": " أساس", "probability": 0.94580078125}, {"start": 1857.12, "end": 1857.56, "word": " أنه", "probability": 0.699462890625}, {"start": 1857.56, "end": 1857.96, "word": " flat", "probability": 0.79150390625}, {"start": 1857.96, "end": 1858.52, "word": " هذا", "probability": 0.40625}, {"start": 1858.52, "end": 1859.2, "word": " بلغيلي", "probability": 0.80546875}, {"start": 1859.2, "end": 1859.66, "word": " قضية", "probability": 0.9855143229166666}, {"start": 1859.66, "end": 1860.52, "word": " الحسابات", "probability": 0.9920654296875}, {"start": 1860.52, "end": 1860.96, "word": " واني", "probability": 0.6431070963541666}, {"start": 1860.96, "end": 1861.16, "word": " جيب", "probability": 0.9630533854166666}, {"start": 1861.16, "end": 1861.28, "word": " ال", "probability": 0.8623046875}, {"start": 1861.28, "end": 1861.76, "word": " coordinate", "probability": 0.7998046875}, {"start": 1861.76, "end": 1862.88, "word": " الإحداثيات", "probability": 0.8824055989583334}], "temperature": 1.0}, {"id": 84, "seek": 187172, "start": 1862.96, "end": 1871.72, "text": "الأساسية والإحداثيات الفرعية يعني في النقطة اللي ضرب فيها الشعاع في السطح فبالتالي هذا الكلام كله بيلتذا ويكفي", "tokens": [6027, 10721, 3794, 32277, 10632, 16070, 28814, 24401, 5718, 104, 1829, 9307, 27188, 2288, 3615, 10632, 37495, 22653, 8978, 28239, 47432, 3660, 13672, 1829, 48812, 25513, 8978, 11296, 25124, 3615, 45761, 8978, 21136, 9566, 5016, 6156, 3555, 6027, 2655, 6027, 1829, 23758, 2423, 28820, 10943, 28242, 3224, 4724, 26895, 2655, 15730, 4032, 1829, 4117, 41185], "avg_logprob": -0.16601562766092165, "compression_ratio": 1.5984251968503937, "no_speech_prob": 0.0033931732177734375, "words": [{"start": 1862.96, "end": 1863.98, "word": "الأساسية", "probability": 0.738232421875}, {"start": 1863.98, "end": 1864.72, "word": " والإحداثيات", "probability": 0.8523995535714286}, {"start": 1864.72, "end": 1865.32, "word": " الفرعية", "probability": 0.9234619140625}, {"start": 1865.32, "end": 1865.98, "word": " يعني", "probability": 0.70751953125}, {"start": 1865.98, "end": 1866.08, "word": " في", "probability": 0.95068359375}, {"start": 1866.08, "end": 1866.46, "word": " النقطة", "probability": 0.9676106770833334}, {"start": 1866.46, "end": 1866.58, "word": " اللي", "probability": 0.8330078125}, {"start": 1866.58, "end": 1866.84, "word": " ضرب", "probability": 0.93701171875}, {"start": 1866.84, "end": 1867.06, "word": " فيها", "probability": 0.94287109375}, {"start": 1867.06, "end": 1867.44, "word": " الشعاع", "probability": 0.9161783854166666}, {"start": 1867.44, "end": 1867.56, "word": " في", "probability": 0.9091796875}, {"start": 1867.56, "end": 1868.08, "word": " السطح", "probability": 0.9241536458333334}, {"start": 1868.08, "end": 1869.16, "word": " فبالتالي", "probability": 0.887939453125}, {"start": 1869.16, "end": 1869.38, "word": " هذا", "probability": 0.95556640625}, {"start": 1869.38, "end": 1869.88, "word": " الكلام", "probability": 0.98193359375}, {"start": 1869.88, "end": 1870.26, "word": " كله", "probability": 0.91943359375}, {"start": 1870.26, "end": 1870.86, "word": " بيلتذا", "probability": 0.8197021484375}, {"start": 1870.86, "end": 1871.72, "word": " ويكفي", "probability": 0.8739013671875}], "temperature": 1.0}, {"id": 85, "seek": 188877, "start": 1873.31, "end": 1888.77, "text": "The intersection of the ray with the surface is specified simply as the distance from the optical axis", "tokens": [2278, 15236, 295, 264, 18592, 365, 264, 3753, 307, 22206, 2935, 382, 264, 4560, 490, 264, 20674, 10298], "avg_logprob": -0.3914473715581392, "compression_ratio": 1.2289156626506024, "no_speech_prob": 0.96142578125, "words": [{"start": 1873.31, "end": 1874.11, "word": "The", "probability": 0.0716552734375}, {"start": 1874.11, "end": 1874.51, "word": " intersection", "probability": 0.38671875}, {"start": 1874.51, "end": 1883.11, "word": " of", "probability": 0.8603515625}, {"start": 1883.11, "end": 1883.33, "word": " the", "probability": 0.68896484375}, {"start": 1883.33, "end": 1883.49, "word": " ray", "probability": 0.87744140625}, {"start": 1883.49, "end": 1883.93, "word": " with", "probability": 0.78955078125}, {"start": 1883.93, "end": 1884.17, "word": " the", "probability": 0.787109375}, {"start": 1884.17, "end": 1884.49, "word": " surface", "probability": 0.7744140625}, {"start": 1884.49, "end": 1884.79, "word": " is", "probability": 0.86865234375}, {"start": 1884.79, "end": 1885.35, "word": " specified", "probability": 0.857421875}, {"start": 1885.35, "end": 1886.09, "word": " simply", "probability": 0.66845703125}, {"start": 1886.09, "end": 1886.69, "word": " as", "probability": 0.9287109375}, {"start": 1886.69, "end": 1886.89, "word": " the", "probability": 0.74658203125}, {"start": 1886.89, "end": 1887.39, "word": " distance", "probability": 0.93115234375}, {"start": 1887.39, "end": 1887.71, "word": " from", "probability": 0.87158203125}, {"start": 1887.71, "end": 1887.89, "word": " the", "probability": 0.912109375}, {"start": 1887.89, "end": 1888.29, "word": " optical", "probability": 0.86279296875}, {"start": 1888.29, "end": 1888.77, "word": " axis", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 86, "seek": 190653, "start": 1902.69, "end": 1906.53, "text": "هذا الشعاع برق Axial خلينا نعطيله", "tokens": [3224, 15730, 25124, 3615, 45761, 4724, 2288, 4587, 20118, 831, 16490, 20292, 8315, 8717, 3615, 9566, 26895, 3224], "avg_logprob": -0.4724506484834771, "compression_ratio": 0.875, "no_speech_prob": 0.0, "words": [{"start": 1902.69, "end": 1902.93, "word": "هذا", "probability": 0.2993011474609375}, {"start": 1902.93, "end": 1903.49, "word": " الشعاع", "probability": 0.9576822916666666}, {"start": 1903.49, "end": 1904.17, "word": " برق", "probability": 0.6581217447916666}, {"start": 1904.17, "end": 1904.71, "word": " Axial", "probability": 0.6864013671875}, {"start": 1904.71, "end": 1905.97, "word": " خلينا", "probability": 0.6846516927083334}, {"start": 1905.97, "end": 1906.53, "word": " نعطيله", "probability": 0.86611328125}], "temperature": 1.0}, {"id": 87, "seek": 193245, "start": 1907.95, "end": 1932.45, "text": "another color, this is the para-axial beam, which is the falling beam, and we considered the spherical refracting surface at the optical axis flat, of course, the picture is rotated vertically to clarify the idea, if we don't rotate it vertically, all these lines will appear to be very intertwined with each other because they are very close to each other, from each other to each other, and therefore", "tokens": [282, 802, 2017, 11, 341, 307, 264, 1690, 12, 2797, 831, 14269, 11, 597, 307, 264, 7440, 14269, 11, 293, 321, 4888, 264, 37300, 45353, 278, 3753, 412, 264, 20674, 10298, 4962, 11, 295, 1164, 11, 264, 3036, 307, 42146, 28450, 281, 17594, 264, 1558, 11, 498, 321, 500, 380, 13121, 309, 28450, 11, 439, 613, 3876, 486, 4204, 281, 312, 588, 44400, 2001, 365, 1184, 661, 570, 436, 366, 588, 1998, 281, 1184, 661, 11, 490, 1184, 661, 281, 1184, 661, 11, 293, 4412], "avg_logprob": -0.4821947736795558, "compression_ratio": 1.8108108108108107, "no_speech_prob": 4.708766937255859e-06, "words": [{"start": 1907.95, "end": 1908.55, "word": "another", "probability": 0.54541015625}, {"start": 1908.55, "end": 1908.55, "word": " color,", "probability": 0.69140625}, {"start": 1908.87, "end": 1909.17, "word": " this", "probability": 0.572265625}, {"start": 1909.17, "end": 1909.19, "word": " is", "probability": 0.673828125}, {"start": 1909.19, "end": 1909.61, "word": " the", "probability": 0.32666015625}, {"start": 1909.61, "end": 1909.81, "word": " para", "probability": 0.261474609375}, {"start": 1909.81, "end": 1910.49, "word": "-axial", "probability": 0.7138671875}, {"start": 1910.49, "end": 1910.49, "word": " beam,", "probability": 0.3232421875}, {"start": 1911.29, "end": 1911.33, "word": " which", "probability": 0.58154296875}, {"start": 1911.33, "end": 1911.53, "word": " is", "probability": 0.8876953125}, {"start": 1911.53, "end": 1912.13, "word": " the", "probability": 0.75341796875}, {"start": 1912.13, "end": 1912.45, "word": " falling", "probability": 0.1927490234375}, {"start": 1912.45, "end": 1912.63, "word": " beam,", "probability": 0.89111328125}, {"start": 1913.73, "end": 1913.95, "word": " and", "probability": 0.81005859375}, {"start": 1913.95, "end": 1914.17, "word": " we", "probability": 0.8408203125}, {"start": 1914.17, "end": 1914.87, "word": " considered", "probability": 0.50634765625}, {"start": 1914.87, "end": 1915.19, "word": " the", "probability": 0.82861328125}, {"start": 1915.19, "end": 1915.61, "word": " spherical", "probability": 0.896484375}, {"start": 1915.61, "end": 1916.29, "word": " refracting", "probability": 0.68994140625}, {"start": 1916.29, "end": 1916.71, "word": " surface", "probability": 0.84765625}, {"start": 1916.71, "end": 1916.95, "word": " at", "probability": 0.472412109375}, {"start": 1916.95, "end": 1917.09, "word": " the", "probability": 0.90869140625}, {"start": 1917.09, "end": 1917.43, "word": " optical", "probability": 0.91015625}, {"start": 1917.43, "end": 1918.03, "word": " axis", "probability": 0.9306640625}, {"start": 1918.03, "end": 1918.67, "word": " flat,", "probability": 0.4853515625}, {"start": 1919.03, "end": 1919.19, "word": " of", "probability": 0.67822265625}, {"start": 1919.19, "end": 1919.31, "word": " course,", "probability": 0.95703125}, {"start": 1919.43, "end": 1919.49, "word": " the", "probability": 0.8251953125}, {"start": 1919.49, "end": 1919.69, "word": " picture", "probability": 0.5107421875}, {"start": 1919.69, "end": 1919.89, "word": " is", "probability": 0.708984375}, {"start": 1919.89, "end": 1920.25, "word": " rotated", "probability": 0.06854248046875}, {"start": 1920.25, "end": 1920.79, "word": " vertically", "probability": 0.67578125}, {"start": 1920.79, "end": 1921.17, "word": " to", "probability": 0.86376953125}, {"start": 1921.17, "end": 1921.55, "word": " clarify", "probability": 0.69384765625}, {"start": 1921.55, "end": 1921.77, "word": " the", "probability": 0.90576171875}, {"start": 1921.77, "end": 1922.01, "word": " idea,", "probability": 0.84033203125}, {"start": 1922.11, "end": 1922.21, "word": " if", "probability": 0.85498046875}, {"start": 1922.21, "end": 1922.53, "word": " we", "probability": 0.8603515625}, {"start": 1922.53, "end": 1922.61, "word": " don't", "probability": 0.6697998046875}, {"start": 1922.61, "end": 1922.95, "word": " rotate", "probability": 0.9150390625}, {"start": 1922.95, "end": 1923.09, "word": " it", "probability": 0.80126953125}, {"start": 1923.09, "end": 1923.53, "word": " vertically,", "probability": 0.77490234375}, {"start": 1923.65, "end": 1924.49, "word": " all", "probability": 0.55517578125}, {"start": 1924.49, "end": 1925.51, "word": " these", "probability": 0.6826171875}, {"start": 1925.51, "end": 1925.95, "word": " lines", "probability": 0.8662109375}, {"start": 1925.95, "end": 1926.27, "word": " will", "probability": 0.740234375}, {"start": 1926.27, "end": 1926.27, "word": " appear", "probability": 0.353759765625}, {"start": 1926.27, "end": 1926.29, "word": " to", "probability": 0.25732421875}, {"start": 1926.29, "end": 1926.45, "word": " be", "probability": 0.64697265625}, {"start": 1926.45, "end": 1926.45, "word": " very", "probability": 0.537109375}, {"start": 1926.45, "end": 1927.17, "word": " intertwined", "probability": 0.544097900390625}, {"start": 1927.17, "end": 1927.37, "word": " with", "probability": 0.52294921875}, {"start": 1927.37, "end": 1927.63, "word": " each", "probability": 0.92724609375}, {"start": 1927.63, "end": 1927.63, "word": " other", "probability": 0.89306640625}, {"start": 1927.63, "end": 1927.81, "word": " because", "probability": 0.483154296875}, {"start": 1927.81, "end": 1928.03, "word": " they", "probability": 0.841796875}, {"start": 1928.03, "end": 1928.03, "word": " are", "probability": 0.91796875}, {"start": 1928.03, "end": 1928.03, "word": " very", "probability": 0.763671875}, {"start": 1928.03, "end": 1928.33, "word": " close", "probability": 0.845703125}, {"start": 1928.33, "end": 1928.83, "word": " to", "probability": 0.84912109375}, {"start": 1928.83, "end": 1929.25, "word": " each", "probability": 0.93408203125}, {"start": 1929.25, "end": 1929.47, "word": " other,", "probability": 0.904296875}, {"start": 1930.45, "end": 1930.57, "word": " from", "probability": 0.55517578125}, {"start": 1930.57, "end": 1930.87, "word": " each", "probability": 0.85107421875}, {"start": 1930.87, "end": 1931.09, "word": " other", "probability": 0.90283203125}, {"start": 1931.09, "end": 1931.63, "word": " to", "probability": 0.736328125}, {"start": 1931.63, "end": 1931.83, "word": " each", "probability": 0.94677734375}, {"start": 1931.83, "end": 1931.89, "word": " other,", "probability": 0.90869140625}, {"start": 1931.95, "end": 1932.01, "word": " and", "probability": 0.798828125}, {"start": 1932.01, "end": 1932.45, "word": " therefore", "probability": 0.419189453125}], "temperature": 1.0}, {"id": 88, "seek": 194923, "start": 1933.95, "end": 1949.23, "text": "يعني هذا الكلام بده يكون واضح انه هذه المنطقة صغيرة جدا قريبة جدا من ال optical axis يعني بتمتد من هنا لما هنا بس احنا مطناها بشكل عمودي يكفي اقول ان الشعاع اللي باللون الأحمر اللي هو الشعاع الساقط", "tokens": [40228, 22653, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 30544, 4032, 46958, 5016, 16472, 3224, 29538, 9673, 1863, 9566, 28671, 20328, 17082, 48923, 10874, 28259, 12174, 16572, 49401, 10874, 28259, 9154, 2423, 20674, 10298, 37495, 22653, 39894, 2304, 2655, 3215, 9154, 34105, 5296, 15042, 34105, 4724, 3794, 1975, 5016, 8315, 3714, 9566, 8315, 11296, 4724, 8592, 28820, 6225, 2304, 2407, 16254, 7251, 4117, 41185, 1975, 39648, 16472, 25124, 3615, 45761, 13672, 1829, 20666, 1211, 11536, 16247, 5016, 29973, 13672, 1829, 31439, 25124, 3615, 45761, 21136, 995, 47432], "avg_logprob": -0.13662997260689735, "compression_ratio": 1.7424242424242424, "no_speech_prob": 7.492303848266602e-05, "words": [{"start": 1933.9499999999998, "end": 1934.59, "word": "يعني", "probability": 0.659423828125}, {"start": 1934.59, "end": 1935.23, "word": " هذا", "probability": 0.779296875}, {"start": 1935.23, "end": 1935.77, "word": " الكلام", "probability": 0.97265625}, {"start": 1935.77, "end": 1937.05, "word": " بده", "probability": 0.766845703125}, {"start": 1937.05, "end": 1937.21, "word": " يكون", "probability": 0.98876953125}, {"start": 1937.21, "end": 1937.49, "word": " واضح", "probability": 0.9661458333333334}, {"start": 1937.49, "end": 1937.73, "word": " انه", "probability": 0.59765625}, {"start": 1937.73, "end": 1938.03, "word": " هذه", "probability": 0.77587890625}, {"start": 1938.03, "end": 1938.53, "word": " المنطقة", "probability": 0.9669189453125}, {"start": 1938.53, "end": 1938.97, "word": " صغيرة", "probability": 0.9803059895833334}, {"start": 1938.97, "end": 1939.27, "word": " جدا", "probability": 0.98388671875}, {"start": 1939.27, "end": 1939.75, "word": " قريبة", "probability": 0.7841796875}, {"start": 1939.75, "end": 1940.09, "word": " جدا", "probability": 0.99609375}, {"start": 1940.09, "end": 1940.23, "word": " من", "probability": 0.98095703125}, {"start": 1940.23, "end": 1940.33, "word": " ال", "probability": 0.9580078125}, {"start": 1940.33, "end": 1940.65, "word": " optical", "probability": 0.900390625}, {"start": 1940.65, "end": 1941.27, "word": " axis", "probability": 0.923828125}, {"start": 1941.27, "end": 1941.57, "word": " يعني", "probability": 0.73681640625}, {"start": 1941.57, "end": 1941.99, "word": " بتمتد", "probability": 0.9039306640625}, {"start": 1941.99, "end": 1942.13, "word": " من", "probability": 0.984375}, {"start": 1942.13, "end": 1942.27, "word": " هنا", "probability": 0.9951171875}, {"start": 1942.27, "end": 1942.45, "word": " لما", "probability": 0.60546875}, {"start": 1942.45, "end": 1942.69, "word": " هنا", "probability": 0.9853515625}, {"start": 1942.69, "end": 1943.01, "word": " بس", "probability": 0.9609375}, {"start": 1943.01, "end": 1943.39, "word": " احنا", "probability": 0.9495442708333334}, {"start": 1943.39, "end": 1944.51, "word": " مطناها", "probability": 0.79571533203125}, {"start": 1944.51, "end": 1945.15, "word": " بشكل", "probability": 0.9913736979166666}, {"start": 1945.15, "end": 1945.57, "word": " عمودي", "probability": 0.9840087890625}, {"start": 1945.57, "end": 1945.99, "word": " يكفي", "probability": 0.8230794270833334}, {"start": 1945.99, "end": 1946.29, "word": " اقول", "probability": 0.90673828125}, {"start": 1946.29, "end": 1946.43, "word": " ان", "probability": 0.81298828125}, {"start": 1946.43, "end": 1946.99, "word": " الشعاع", "probability": 0.8155924479166666}, {"start": 1946.99, "end": 1947.21, "word": " اللي", "probability": 0.906494140625}, {"start": 1947.21, "end": 1947.53, "word": " باللون", "probability": 0.91064453125}, {"start": 1947.53, "end": 1948.01, "word": " الأحمر", "probability": 0.95361328125}, {"start": 1948.01, "end": 1948.15, "word": " اللي", "probability": 0.755126953125}, {"start": 1948.15, "end": 1948.23, "word": " هو", "probability": 0.84716796875}, {"start": 1948.23, "end": 1948.59, "word": " الشعاع", "probability": 0.9303385416666666}, {"start": 1948.59, "end": 1949.23, "word": " الساقط", "probability": 0.8235677083333334}], "temperature": 1.0}, {"id": 89, "seek": 197228, "start": 1949.7, "end": 1972.28, "text": "In order to deal with it, I don't want to bring up the subjects, and compare them with the main topics, and go deep into the roots of education. No, no. All this talk has become unnecessary. I say the red light hits the refracting surface at a point away from the refracting surface, as we can see. Only by doing this, I become not only ..", "tokens": [4575, 1668, 281, 2028, 365, 309, 11, 286, 500, 380, 528, 281, 1565, 493, 264, 1422, 1020, 82, 11, 293, 6794, 552, 365, 264, 2135, 8378, 11, 293, 352, 2452, 666, 264, 10669, 295, 3309, 13, 883, 11, 572, 13, 1057, 341, 751, 575, 1813, 19350, 13, 286, 584, 264, 2182, 1442, 8664, 264, 45353, 278, 3753, 412, 257, 935, 1314, 490, 264, 45353, 278, 3753, 11, 382, 321, 393, 536, 13, 5686, 538, 884, 341, 11, 286, 1813, 406, 787, 4386], "avg_logprob": -0.6905120668641056, "compression_ratio": 1.6220095693779903, "no_speech_prob": 3.319978713989258e-05, "words": [{"start": 1949.7, "end": 1950.0, "word": "In", "probability": 0.1617431640625}, {"start": 1950.0, "end": 1950.0, "word": " order", "probability": 0.91064453125}, {"start": 1950.0, "end": 1950.1, "word": " to", "probability": 0.92138671875}, {"start": 1950.1, "end": 1950.48, "word": " deal", "probability": 0.76708984375}, {"start": 1950.48, "end": 1950.78, "word": " with", "probability": 0.90625}, {"start": 1950.78, "end": 1951.0, "word": " it,", "probability": 0.7822265625}, {"start": 1951.12, "end": 1951.2, "word": " I", "probability": 0.94482421875}, {"start": 1951.2, "end": 1951.28, "word": " don't", "probability": 0.78125}, {"start": 1951.28, "end": 1951.52, "word": " want", "probability": 0.615234375}, {"start": 1951.52, "end": 1951.62, "word": " to", "probability": 0.939453125}, {"start": 1951.62, "end": 1951.84, "word": " bring", "probability": 0.56396484375}, {"start": 1951.84, "end": 1952.96, "word": " up", "probability": 0.255859375}, {"start": 1952.96, "end": 1953.32, "word": " the", "probability": 0.430908203125}, {"start": 1953.32, "end": 1953.9, "word": " subjects,", "probability": 0.16706339518229166}, {"start": 1953.9, "end": 1954.18, "word": " and", "probability": 0.406982421875}, {"start": 1954.18, "end": 1954.48, "word": " compare", "probability": 0.89013671875}, {"start": 1954.48, "end": 1954.62, "word": " them", "probability": 0.68310546875}, {"start": 1954.62, "end": 1954.72, "word": " with", "probability": 0.57763671875}, {"start": 1954.72, "end": 1954.78, "word": " the", "probability": 0.84033203125}, {"start": 1954.78, "end": 1954.82, "word": " main", "probability": 0.309326171875}, {"start": 1954.82, "end": 1955.26, "word": " topics,", "probability": 0.215087890625}, {"start": 1956.0, "end": 1956.12, "word": " and", "probability": 0.88916015625}, {"start": 1956.12, "end": 1956.3, "word": " go", "probability": 0.1329345703125}, {"start": 1956.3, "end": 1956.48, "word": " deep", "probability": 0.350341796875}, {"start": 1956.48, "end": 1956.48, "word": " into", "probability": 0.7216796875}, {"start": 1956.48, "end": 1956.62, "word": " the", "probability": 0.30322265625}, {"start": 1956.62, "end": 1956.8, "word": " roots", "probability": 0.161865234375}, {"start": 1956.8, "end": 1956.86, "word": " of", "probability": 0.53564453125}, {"start": 1956.86, "end": 1957.18, "word": " education.", "probability": 0.316650390625}, {"start": 1957.38, "end": 1957.42, "word": " No,", "probability": 0.833984375}, {"start": 1957.58, "end": 1957.6, "word": " no.", "probability": 0.65087890625}, {"start": 1957.8, "end": 1957.96, "word": " All", "probability": 0.90087890625}, {"start": 1957.96, "end": 1958.16, "word": " this", "probability": 0.409423828125}, {"start": 1958.16, "end": 1958.44, "word": " talk", "probability": 0.3623046875}, {"start": 1958.44, "end": 1958.68, "word": " has", "probability": 0.41943359375}, {"start": 1958.68, "end": 1958.9, "word": " become", "probability": 0.71630859375}, {"start": 1958.9, "end": 1959.3, "word": " unnecessary.", "probability": 0.322021484375}, {"start": 1960.02, "end": 1960.12, "word": " I", "probability": 0.77734375}, {"start": 1960.12, "end": 1960.32, "word": " say", "probability": 0.8310546875}, {"start": 1960.32, "end": 1960.5, "word": " the", "probability": 0.294921875}, {"start": 1960.5, "end": 1961.24, "word": " red", "probability": 0.91796875}, {"start": 1961.24, "end": 1961.24, "word": " light", "probability": 0.312744140625}, {"start": 1961.24, "end": 1961.76, "word": " hits", "probability": 0.42822265625}, {"start": 1961.76, "end": 1961.96, "word": " the", "probability": 0.62109375}, {"start": 1961.96, "end": 1962.54, "word": " refracting", "probability": 0.8095703125}, {"start": 1962.54, "end": 1962.94, "word": " surface", "probability": 0.69921875}, {"start": 1962.94, "end": 1963.18, "word": " at", "probability": 0.51025390625}, {"start": 1963.18, "end": 1963.3, "word": " a", "probability": 0.93994140625}, {"start": 1963.3, "end": 1963.64, "word": " point", "probability": 0.9501953125}, {"start": 1963.64, "end": 1964.42, "word": " away", "probability": 0.3486328125}, {"start": 1964.42, "end": 1965.12, "word": " from", "probability": 0.80859375}, {"start": 1965.12, "end": 1965.32, "word": " the", "probability": 0.50244140625}, {"start": 1965.32, "end": 1965.46, "word": " refracting", "probability": 0.4921875}, {"start": 1965.46, "end": 1965.46, "word": " surface,", "probability": 0.89697265625}, {"start": 1965.46, "end": 1965.7, "word": " as", "probability": 0.415283203125}, {"start": 1965.7, "end": 1965.92, "word": " we", "probability": 0.5927734375}, {"start": 1965.92, "end": 1966.12, "word": " can", "probability": 0.3583984375}, {"start": 1966.12, "end": 1966.52, "word": " see.", "probability": 0.91943359375}, {"start": 1968.56, "end": 1969.0, "word": " Only", "probability": 0.4892578125}, {"start": 1969.0, "end": 1969.38, "word": " by", "probability": 0.456298828125}, {"start": 1969.38, "end": 1969.62, "word": " doing", "probability": 0.4580078125}, {"start": 1969.62, "end": 1969.7, "word": " this,", "probability": 0.640625}, {"start": 1969.86, "end": 1970.22, "word": " I", "probability": 0.93212890625}, {"start": 1970.22, "end": 1970.78, "word": " become", "probability": 0.331787109375}, {"start": 1970.78, "end": 1971.62, "word": " not", "probability": 0.54736328125}, {"start": 1971.62, "end": 1971.98, "word": " only", "probability": 0.83837890625}, {"start": 1971.98, "end": 1972.28, "word": " ..", "probability": 0.36865234375}], "temperature": 1.0}, {"id": 90, "seek": 199942, "start": 1972.62, "end": 1999.42, "text": "I gave up hundreds of rays when I did ignoring for image quality Also, the two rays that remained with me .. the two rays that remained with me .. For me, the treatment affected me a lot when I considered .. When I considered that the two rays .. I didn't take them as a peripheral ray, I took them as a para axial ray To consider the surface flat, and instead of drawing the need to say, by God, the first ray", "tokens": [40, 2729, 493, 6779, 295, 24417, 562, 286, 630, 26258, 337, 3256, 3125, 2743, 11, 264, 732, 24417, 300, 12780, 365, 385, 4386, 264, 732, 24417, 300, 12780, 365, 385, 4386, 1171, 385, 11, 264, 5032, 8028, 385, 257, 688, 562, 286, 4888, 4386, 1133, 286, 4888, 300, 264, 732, 24417, 4386, 286, 994, 380, 747, 552, 382, 257, 40235, 18592, 11, 286, 1890, 552, 382, 257, 1690, 46851, 18592, 1407, 1949, 264, 3753, 4962, 11, 293, 2602, 295, 6316, 264, 643, 281, 584, 11, 538, 1265, 11, 264, 700, 18592], "avg_logprob": -0.5241168257982834, "compression_ratio": 1.8385650224215246, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 1972.62, "end": 1972.8, "word": "I", "probability": 0.88427734375}, {"start": 1972.8, "end": 1973.06, "word": " gave", "probability": 0.09222412109375}, {"start": 1973.06, "end": 1973.46, "word": " up", "probability": 0.96826171875}, {"start": 1973.46, "end": 1974.58, "word": " hundreds", "probability": 0.406494140625}, {"start": 1974.58, "end": 1974.76, "word": " of", "probability": 0.9287109375}, {"start": 1974.76, "end": 1975.14, "word": " rays", "probability": 0.09722900390625}, {"start": 1975.14, "end": 1975.6, "word": " when", "probability": 0.67138671875}, {"start": 1975.6, "end": 1975.72, "word": " I", "probability": 0.91796875}, {"start": 1975.72, "end": 1975.94, "word": " did", "probability": 0.408935546875}, {"start": 1975.94, "end": 1976.42, "word": " ignoring", "probability": 0.58447265625}, {"start": 1976.42, "end": 1976.7, "word": " for", "probability": 0.422119140625}, {"start": 1976.7, "end": 1976.94, "word": " image", "probability": 0.6884765625}, {"start": 1976.94, "end": 1977.42, "word": " quality", "probability": 0.86083984375}, {"start": 1977.42, "end": 1978.04, "word": " Also,", "probability": 0.300537109375}, {"start": 1978.68, "end": 1978.72, "word": " the", "probability": 0.60546875}, {"start": 1978.72, "end": 1979.2, "word": " two", "probability": 0.65380859375}, {"start": 1979.2, "end": 1979.2, "word": " rays", "probability": 0.9130859375}, {"start": 1979.2, "end": 1979.46, "word": " that", "probability": 0.64697265625}, {"start": 1979.46, "end": 1979.76, "word": " remained", "probability": 0.466796875}, {"start": 1979.76, "end": 1980.06, "word": " with", "probability": 0.638671875}, {"start": 1980.06, "end": 1980.28, "word": " me", "probability": 0.958984375}, {"start": 1980.28, "end": 1980.28, "word": " ..", "probability": 0.256103515625}, {"start": 1980.28, "end": 1980.54, "word": " the", "probability": 0.474609375}, {"start": 1980.54, "end": 1980.7, "word": " two", "probability": 0.9423828125}, {"start": 1980.7, "end": 1980.98, "word": " rays", "probability": 0.9599609375}, {"start": 1980.98, "end": 1981.18, "word": " that", "probability": 0.91064453125}, {"start": 1981.18, "end": 1981.38, "word": " remained", "probability": 0.92236328125}, {"start": 1981.38, "end": 1981.64, "word": " with", "probability": 0.904296875}, {"start": 1981.64, "end": 1982.24, "word": " me", "probability": 0.9658203125}, {"start": 1982.24, "end": 1982.34, "word": " ..", "probability": 0.434814453125}, {"start": 1982.34, "end": 1983.64, "word": " For", "probability": 0.07684326171875}, {"start": 1983.64, "end": 1986.18, "word": " me,", "probability": 0.95654296875}, {"start": 1986.9, "end": 1987.04, "word": " the", "probability": 0.477783203125}, {"start": 1987.04, "end": 1987.36, "word": " treatment", "probability": 0.423095703125}, {"start": 1987.36, "end": 1987.94, "word": " affected", "probability": 0.1856689453125}, {"start": 1987.94, "end": 1988.2, "word": " me", "probability": 0.8154296875}, {"start": 1988.2, "end": 1988.38, "word": " a", "probability": 0.87646484375}, {"start": 1988.38, "end": 1988.54, "word": " lot", "probability": 0.95751953125}, {"start": 1988.54, "end": 1988.82, "word": " when", "probability": 0.66064453125}, {"start": 1988.82, "end": 1989.04, "word": " I", "probability": 0.97900390625}, {"start": 1989.04, "end": 1989.34, "word": " considered", "probability": 0.64697265625}, {"start": 1989.34, "end": 1989.82, "word": " ..", "probability": 0.79736328125}, {"start": 1989.82, "end": 1990.14, "word": " When", "probability": 0.423095703125}, {"start": 1990.14, "end": 1990.3, "word": " I", "probability": 0.994140625}, {"start": 1990.3, "end": 1990.6, "word": " considered", "probability": 0.209228515625}, {"start": 1990.6, "end": 1990.8, "word": " that", "probability": 0.677734375}, {"start": 1990.8, "end": 1990.84, "word": " the", "probability": 0.407470703125}, {"start": 1990.84, "end": 1991.1, "word": " two", "probability": 0.85107421875}, {"start": 1991.1, "end": 1991.1, "word": " rays", "probability": 0.951171875}, {"start": 1991.1, "end": 1991.18, "word": " ..", "probability": 0.55712890625}, {"start": 1991.18, "end": 1991.3, "word": " I", "probability": 0.95263671875}, {"start": 1991.3, "end": 1991.54, "word": " didn't", "probability": 0.6260986328125}, {"start": 1991.54, "end": 1991.76, "word": " take", "probability": 0.59423828125}, {"start": 1991.76, "end": 1991.92, "word": " them", "probability": 0.736328125}, {"start": 1991.92, "end": 1992.02, "word": " as", "probability": 0.64013671875}, {"start": 1992.02, "end": 1992.04, "word": " a", "probability": 0.392578125}, {"start": 1992.04, "end": 1992.34, "word": " peripheral", "probability": 0.84521484375}, {"start": 1992.34, "end": 1992.62, "word": " ray,", "probability": 0.79296875}, {"start": 1992.66, "end": 1992.76, "word": " I", "probability": 0.8828125}, {"start": 1992.76, "end": 1992.98, "word": " took", "probability": 0.86083984375}, {"start": 1992.98, "end": 1993.18, "word": " them", "probability": 0.88671875}, {"start": 1993.18, "end": 1993.3, "word": " as", "probability": 0.90087890625}, {"start": 1993.3, "end": 1993.3, "word": " a", "probability": 0.7568359375}, {"start": 1993.3, "end": 1993.54, "word": " para", "probability": 0.57958984375}, {"start": 1993.54, "end": 1993.96, "word": " axial", "probability": 0.70947265625}, {"start": 1993.96, "end": 1994.36, "word": " ray", "probability": 0.9697265625}, {"start": 1994.36, "end": 1994.92, "word": " To", "probability": 0.276123046875}, {"start": 1994.92, "end": 1995.52, "word": " consider", "probability": 0.810546875}, {"start": 1995.52, "end": 1995.74, "word": " the", "probability": 0.9189453125}, {"start": 1995.74, "end": 1995.96, "word": " surface", "probability": 0.69921875}, {"start": 1995.96, "end": 1996.4, "word": " flat,", "probability": 0.484619140625}, {"start": 1996.88, "end": 1996.96, "word": " and", "probability": 0.82763671875}, {"start": 1996.96, "end": 1997.3, "word": " instead", "probability": 0.74072265625}, {"start": 1997.3, "end": 1997.5, "word": " of", "probability": 0.9638671875}, {"start": 1997.5, "end": 1997.76, "word": " drawing", "probability": 0.70654296875}, {"start": 1997.76, "end": 1997.96, "word": " the", "probability": 0.1744384765625}, {"start": 1997.96, "end": 1998.12, "word": " need", "probability": 0.10516357421875}, {"start": 1998.12, "end": 1998.42, "word": " to", "probability": 0.61962890625}, {"start": 1998.42, "end": 1998.64, "word": " say,", "probability": 0.90283203125}, {"start": 1998.72, "end": 1998.84, "word": " by", "probability": 0.3896484375}, {"start": 1998.84, "end": 1998.94, "word": " God,", "probability": 0.77001953125}, {"start": 1999.0, "end": 1999.14, "word": " the", "probability": 0.80419921875}, {"start": 1999.14, "end": 1999.2, "word": " first", "probability": 0.8779296875}, {"start": 1999.2, "end": 1999.42, "word": " ray", "probability": 0.796875}], "temperature": 1.0}, {"id": 91, "seek": 202682, "start": 2000.14, "end": 2026.82, "text": "الشعاع الأول ضرب في ال refracting surface ضرب في ال refracting surface بعيد في منطقة أو عند نقطة تبعد مسافة H عن ال optical axis عن ال optical axis ممكن إنسان يتسأل يقول طب يا عم الشعاع التاني وين احنا عشان تتكون صورة أقل إشي لازم شعاعين الحد الأدنى يعني بنفع الشعاع واحد يلتقي مع ذاته لازم شعاعين ومنطقة تقاطعهم", "tokens": [6027, 8592, 3615, 45761, 16247, 12610, 48812, 25513, 8978, 2423, 45353, 278, 3753, 48812, 25513, 8978, 2423, 45353, 278, 3753, 45030, 25708, 8978, 9154, 9566, 28671, 34051, 43242, 8717, 47432, 3660, 6055, 3555, 22488, 47524, 31845, 3660, 389, 18871, 2423, 20674, 10298, 18871, 2423, 20674, 10298, 3714, 43020, 36145, 3794, 7649, 7251, 2655, 3794, 10721, 1211, 7251, 39648, 23032, 3555, 35186, 6225, 2304, 25124, 3615, 45761, 16712, 7649, 1829, 4032, 9957, 1975, 5016, 8315, 6225, 8592, 7649, 6055, 2655, 30544, 20328, 13063, 3660, 5551, 4587, 1211, 11933, 8592, 1829, 5296, 31377, 2304, 13412, 3615, 45761, 9957, 21542, 3215, 16247, 3215, 1863, 7578, 37495, 22653, 44945, 5172, 3615, 25124, 3615, 45761, 36764, 24401, 7251, 1211, 2655, 38436, 20449, 29910, 9307, 3224, 5296, 31377, 2304, 13412, 3615, 45761, 9957, 4032, 27842, 9566, 28671, 6055, 4587, 41193, 3615, 16095], "avg_logprob": -0.10766423270650154, "compression_ratio": 1.9613899613899615, "no_speech_prob": 6.377696990966797e-06, "words": [{"start": 2000.14, "end": 2000.88, "word": "الشعاع", "probability": 0.799072265625}, {"start": 2000.88, "end": 2001.38, "word": " الأول", "probability": 0.9765625}, {"start": 2001.38, "end": 2003.26, "word": " ضرب", "probability": 0.850341796875}, {"start": 2003.26, "end": 2003.98, "word": " في", "probability": 0.9375}, {"start": 2003.98, "end": 2004.18, "word": " ال", "probability": 0.875}, {"start": 2004.18, "end": 2004.82, "word": " refracting", "probability": 0.68212890625}, {"start": 2004.82, "end": 2005.32, "word": " surface", "probability": 0.84814453125}, {"start": 2005.32, "end": 2005.74, "word": " ضرب", "probability": 0.684326171875}, {"start": 2005.74, "end": 2005.88, "word": " في", "probability": 0.9306640625}, {"start": 2005.88, "end": 2005.92, "word": " ال", "probability": 0.85498046875}, {"start": 2005.92, "end": 2006.42, "word": " refracting", "probability": 0.94384765625}, {"start": 2006.42, "end": 2007.0, "word": " surface", "probability": 0.90673828125}, {"start": 2007.0, "end": 2007.96, "word": " بعيد", "probability": 0.97802734375}, {"start": 2007.96, "end": 2008.66, "word": " في", "probability": 0.78857421875}, {"start": 2008.66, "end": 2009.24, "word": " منطقة", "probability": 0.9752604166666666}, {"start": 2009.24, "end": 2009.44, "word": " أو", "probability": 0.70068359375}, {"start": 2009.44, "end": 2009.74, "word": " عند", "probability": 0.9892578125}, {"start": 2009.74, "end": 2010.14, "word": " نقطة", "probability": 0.9803059895833334}, {"start": 2010.14, "end": 2010.48, "word": " تبعد", "probability": 0.9306640625}, {"start": 2010.48, "end": 2011.08, "word": " مسافة", "probability": 0.99267578125}, {"start": 2011.08, "end": 2011.46, "word": " H", "probability": 0.73974609375}, {"start": 2011.46, "end": 2012.06, "word": " عن", "probability": 0.98681640625}, {"start": 2012.06, "end": 2012.22, "word": " ال", "probability": 0.98583984375}, {"start": 2012.22, "end": 2012.6, "word": " optical", "probability": 0.9384765625}, {"start": 2012.6, "end": 2013.54, "word": " axis", "probability": 0.96923828125}, {"start": 2013.54, "end": 2013.92, "word": " عن", "probability": 0.84814453125}, {"start": 2013.92, "end": 2014.04, "word": " ال", "probability": 0.99609375}, {"start": 2014.04, "end": 2014.34, "word": " optical", "probability": 0.943359375}, {"start": 2014.34, "end": 2014.76, "word": " axis", "probability": 0.9423828125}, {"start": 2014.76, "end": 2015.1, "word": " ممكن", "probability": 0.9560546875}, {"start": 2015.1, "end": 2015.5, "word": " إنسان", "probability": 0.8738606770833334}, {"start": 2015.5, "end": 2016.08, "word": " يتسأل", "probability": 0.9103515625}, {"start": 2016.08, "end": 2016.32, "word": " يقول", "probability": 0.92236328125}, {"start": 2016.32, "end": 2016.52, "word": " طب", "probability": 0.833984375}, {"start": 2016.52, "end": 2016.62, "word": " يا", "probability": 0.91796875}, {"start": 2016.62, "end": 2016.82, "word": " عم", "probability": 0.99267578125}, {"start": 2016.82, "end": 2017.88, "word": " الشعاع", "probability": 0.9611002604166666}, {"start": 2017.88, "end": 2018.28, "word": " التاني", "probability": 0.943359375}, {"start": 2018.28, "end": 2018.44, "word": " وين", "probability": 0.952392578125}, {"start": 2018.44, "end": 2018.62, "word": " احنا", "probability": 0.7919921875}, {"start": 2018.62, "end": 2018.96, "word": " عشان", "probability": 0.9405924479166666}, {"start": 2018.96, "end": 2019.4, "word": " تتكون", "probability": 0.8909505208333334}, {"start": 2019.4, "end": 2019.84, "word": " صورة", "probability": 0.9884440104166666}, {"start": 2019.84, "end": 2020.26, "word": " أقل", "probability": 0.947265625}, {"start": 2020.26, "end": 2020.58, "word": " إشي", "probability": 0.7108154296875}, {"start": 2020.58, "end": 2020.88, "word": " لازم", "probability": 0.99462890625}, {"start": 2020.88, "end": 2021.34, "word": " شعاعين", "probability": 0.9622802734375}, {"start": 2021.34, "end": 2021.72, "word": " الحد", "probability": 0.781982421875}, {"start": 2021.72, "end": 2022.08, "word": " الأدنى", "probability": 0.87646484375}, {"start": 2022.08, "end": 2022.24, "word": " يعني", "probability": 0.87451171875}, {"start": 2022.24, "end": 2022.56, "word": " بنفع", "probability": 0.8499348958333334}, {"start": 2022.56, "end": 2022.92, "word": " الشعاع", "probability": 0.9640299479166666}, {"start": 2022.92, "end": 2023.24, "word": " واحد", "probability": 0.9814453125}, {"start": 2023.24, "end": 2023.66, "word": " يلتقي", "probability": 0.9833984375}, {"start": 2023.66, "end": 2023.84, "word": " مع", "probability": 0.99072265625}, {"start": 2023.84, "end": 2024.26, "word": " ذاته", "probability": 0.9749348958333334}, {"start": 2024.26, "end": 2024.82, "word": " لازم", "probability": 0.9894205729166666}, {"start": 2024.82, "end": 2025.36, "word": " شعاعين", "probability": 0.9859619140625}, {"start": 2025.36, "end": 2025.94, "word": " ومنطقة", "probability": 0.9150390625}, {"start": 2025.94, "end": 2026.82, "word": " تقاطعهم", "probability": 0.92607421875}], "temperature": 1.0}, {"id": 92, "seek": 204981, "start": 2028.09, "end": 2049.81, "text": "And the intersection point here is called the image We say that the second ray is perfectly aligned with the optical axis As long as it is perfectly aligned with the white color With the white color Let's give it another color to make things clear Let's make it yellow The ray And here with the red color", "tokens": [5289, 264, 15236, 935, 510, 307, 1219, 264, 3256, 492, 584, 300, 264, 1150, 18592, 307, 6239, 17962, 365, 264, 20674, 10298, 1018, 938, 382, 309, 307, 6239, 17962, 365, 264, 2418, 2017, 2022, 264, 2418, 2017, 961, 311, 976, 309, 1071, 2017, 281, 652, 721, 1850, 961, 311, 652, 309, 5566, 440, 18592, 400, 510, 365, 264, 2182, 2017], "avg_logprob": -0.5824795316477291, "compression_ratio": 1.7988165680473374, "no_speech_prob": 6.794929504394531e-06, "words": [{"start": 2028.09, "end": 2028.31, "word": "And", "probability": 0.1690673828125}, {"start": 2028.31, "end": 2028.47, "word": " the", "probability": 0.45849609375}, {"start": 2028.47, "end": 2029.13, "word": " intersection", "probability": 0.15478515625}, {"start": 2029.13, "end": 2029.13, "word": " point", "probability": 0.24560546875}, {"start": 2029.13, "end": 2029.55, "word": " here", "probability": 0.309814453125}, {"start": 2029.55, "end": 2029.73, "word": " is", "probability": 0.48974609375}, {"start": 2029.73, "end": 2029.91, "word": " called", "probability": 0.379150390625}, {"start": 2029.91, "end": 2030.23, "word": " the", "probability": 0.301025390625}, {"start": 2030.23, "end": 2030.47, "word": " image", "probability": 0.75}, {"start": 2030.47, "end": 2030.59, "word": " We", "probability": 0.2115478515625}, {"start": 2030.59, "end": 2030.77, "word": " say", "probability": 0.7333984375}, {"start": 2030.77, "end": 2030.89, "word": " that", "probability": 0.54052734375}, {"start": 2030.89, "end": 2030.95, "word": " the", "probability": 0.7744140625}, {"start": 2030.95, "end": 2031.63, "word": " second", "probability": 0.53271484375}, {"start": 2031.63, "end": 2031.63, "word": " ray", "probability": 0.41064453125}, {"start": 2031.63, "end": 2031.91, "word": " is", "probability": 0.46240234375}, {"start": 2031.91, "end": 2032.61, "word": " perfectly", "probability": 0.210205078125}, {"start": 2032.61, "end": 2032.61, "word": " aligned", "probability": 0.2861328125}, {"start": 2032.61, "end": 2033.23, "word": " with", "probability": 0.30712890625}, {"start": 2033.23, "end": 2033.35, "word": " the", "probability": 0.87158203125}, {"start": 2033.35, "end": 2033.65, "word": " optical", "probability": 0.88916015625}, {"start": 2033.65, "end": 2034.31, "word": " axis", "probability": 0.9755859375}, {"start": 2034.31, "end": 2035.47, "word": " As", "probability": 0.335693359375}, {"start": 2035.47, "end": 2035.63, "word": " long", "probability": 0.77490234375}, {"start": 2035.63, "end": 2035.69, "word": " as", "probability": 0.958984375}, {"start": 2035.69, "end": 2035.83, "word": " it", "probability": 0.8310546875}, {"start": 2035.83, "end": 2035.87, "word": " is", "probability": 0.7373046875}, {"start": 2035.87, "end": 2036.35, "word": " perfectly", "probability": 0.76123046875}, {"start": 2036.35, "end": 2036.37, "word": " aligned", "probability": 0.89501953125}, {"start": 2036.37, "end": 2036.77, "word": " with", "probability": 0.70068359375}, {"start": 2036.77, "end": 2037.07, "word": " the", "probability": 0.78759765625}, {"start": 2037.07, "end": 2038.73, "word": " white", "probability": 0.787109375}, {"start": 2038.73, "end": 2038.99, "word": " color", "probability": 0.6767578125}, {"start": 2038.99, "end": 2039.41, "word": " With", "probability": 0.13330078125}, {"start": 2039.41, "end": 2039.53, "word": " the", "probability": 0.81298828125}, {"start": 2039.53, "end": 2039.95, "word": " white", "probability": 0.8486328125}, {"start": 2039.95, "end": 2039.99, "word": " color", "probability": 0.86279296875}, {"start": 2039.99, "end": 2040.49, "word": " Let's", "probability": 0.663330078125}, {"start": 2040.49, "end": 2040.69, "word": " give", "probability": 0.75}, {"start": 2040.69, "end": 2040.85, "word": " it", "probability": 0.63671875}, {"start": 2040.85, "end": 2041.31, "word": " another", "probability": 0.85693359375}, {"start": 2041.31, "end": 2041.91, "word": " color", "probability": 0.90234375}, {"start": 2041.91, "end": 2042.57, "word": " to", "probability": 0.69677734375}, {"start": 2042.57, "end": 2043.01, "word": " make", "probability": 0.5556640625}, {"start": 2043.01, "end": 2043.43, "word": " things", "probability": 0.53955078125}, {"start": 2043.43, "end": 2043.43, "word": " clear", "probability": 0.65087890625}, {"start": 2043.43, "end": 2043.87, "word": " Let's", "probability": 0.901611328125}, {"start": 2043.87, "end": 2044.05, "word": " make", "probability": 0.263671875}, {"start": 2044.05, "end": 2044.19, "word": " it", "probability": 0.908203125}, {"start": 2044.19, "end": 2044.77, "word": " yellow", "probability": 0.7841796875}, {"start": 2044.77, "end": 2045.77, "word": " The", "probability": 0.52685546875}, {"start": 2045.77, "end": 2046.09, "word": " ray", "probability": 0.386474609375}, {"start": 2046.09, "end": 2048.89, "word": " And", "probability": 0.26513671875}, {"start": 2048.89, "end": 2049.05, "word": " here", "probability": 0.82470703125}, {"start": 2049.05, "end": 2049.21, "word": " with", "probability": 0.424560546875}, {"start": 2049.21, "end": 2049.51, "word": " the", "probability": 0.69287109375}, {"start": 2049.51, "end": 2049.81, "word": " red", "probability": 0.94287109375}, {"start": 2049.81, "end": 2049.81, "word": " color", "probability": 0.8740234375}], "temperature": 1.0}, {"id": 93, "seek": 207473, "start": 2052.35, "end": 2074.73, "text": "These two rays, the red one broke inside the chicken, and the yellow one remained in its path. We will say why they remained in their path without breaking. Their meeting point is the image area. The image will be at this point. So why is the yellow ray, which is adjacent to the optical axis, did not undergo any change? Because we should not forget that this is a spherical refracting surface. This is a sphere.", "tokens": [28858, 732, 24417, 11, 264, 2182, 472, 6902, 1854, 264, 4662, 11, 293, 264, 5566, 472, 12780, 294, 1080, 3100, 13, 492, 486, 584, 983, 436, 12780, 294, 641, 3100, 1553, 7697, 13, 6710, 3440, 935, 307, 264, 3256, 1859, 13, 440, 3256, 486, 312, 412, 341, 935, 13, 407, 983, 307, 264, 5566, 18592, 11, 597, 307, 24441, 281, 264, 20674, 10298, 11, 630, 406, 26426, 604, 1319, 30, 1436, 321, 820, 406, 2870, 300, 341, 307, 257, 37300, 45353, 278, 3753, 13, 639, 307, 257, 16687, 13], "avg_logprob": -0.4930555558866925, "compression_ratio": 1.7208333333333334, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2052.35, "end": 2052.69, "word": "These", "probability": 0.2257080078125}, {"start": 2052.69, "end": 2052.83, "word": " two", "probability": 0.66650390625}, {"start": 2052.83, "end": 2053.11, "word": " rays,", "probability": 0.65087890625}, {"start": 2053.69, "end": 2053.91, "word": " the", "probability": 0.56689453125}, {"start": 2053.91, "end": 2054.13, "word": " red", "probability": 0.86669921875}, {"start": 2054.13, "end": 2054.79, "word": " one", "probability": 0.3330078125}, {"start": 2054.79, "end": 2055.15, "word": " broke", "probability": 0.1953125}, {"start": 2055.15, "end": 2055.57, "word": " inside", "probability": 0.73779296875}, {"start": 2055.57, "end": 2055.77, "word": " the", "probability": 0.87109375}, {"start": 2055.77, "end": 2056.01, "word": " chicken,", "probability": 0.378173828125}, {"start": 2056.41, "end": 2056.69, "word": " and", "probability": 0.8310546875}, {"start": 2056.69, "end": 2056.83, "word": " the", "probability": 0.86572265625}, {"start": 2056.83, "end": 2056.89, "word": " yellow", "probability": 0.8017578125}, {"start": 2056.89, "end": 2057.85, "word": " one", "probability": 0.5830078125}, {"start": 2057.85, "end": 2058.67, "word": " remained", "probability": 0.442626953125}, {"start": 2058.67, "end": 2059.13, "word": " in", "probability": 0.437255859375}, {"start": 2059.13, "end": 2059.23, "word": " its", "probability": 0.689453125}, {"start": 2059.23, "end": 2059.59, "word": " path.", "probability": 0.42578125}, {"start": 2059.61, "end": 2059.69, "word": " We", "probability": 0.56640625}, {"start": 2059.69, "end": 2059.81, "word": " will", "probability": 0.6708984375}, {"start": 2059.81, "end": 2059.97, "word": " say", "probability": 0.26025390625}, {"start": 2059.97, "end": 2060.13, "word": " why", "probability": 0.833984375}, {"start": 2060.13, "end": 2060.21, "word": " they", "probability": 0.59912109375}, {"start": 2060.21, "end": 2060.37, "word": " remained", "probability": 0.54443359375}, {"start": 2060.37, "end": 2060.51, "word": " in", "probability": 0.7890625}, {"start": 2060.51, "end": 2060.55, "word": " their", "probability": 0.50732421875}, {"start": 2060.55, "end": 2060.79, "word": " path", "probability": 0.73779296875}, {"start": 2060.79, "end": 2061.01, "word": " without", "probability": 0.71484375}, {"start": 2061.01, "end": 2061.41, "word": " breaking.", "probability": 0.693359375}, {"start": 2061.65, "end": 2061.73, "word": " Their", "probability": 0.572265625}, {"start": 2061.73, "end": 2062.07, "word": " meeting", "probability": 0.41455078125}, {"start": 2062.07, "end": 2062.37, "word": " point", "probability": 0.623046875}, {"start": 2062.37, "end": 2062.61, "word": " is", "probability": 0.8291015625}, {"start": 2062.61, "end": 2063.29, "word": " the", "probability": 0.65087890625}, {"start": 2063.29, "end": 2063.45, "word": " image", "probability": 0.54345703125}, {"start": 2063.45, "end": 2063.45, "word": " area.", "probability": 0.2283935546875}, {"start": 2063.59, "end": 2063.71, "word": " The", "probability": 0.353515625}, {"start": 2063.71, "end": 2063.93, "word": " image", "probability": 0.93408203125}, {"start": 2063.93, "end": 2064.13, "word": " will", "probability": 0.6923828125}, {"start": 2064.13, "end": 2064.33, "word": " be", "probability": 0.68212890625}, {"start": 2064.33, "end": 2064.53, "word": " at", "probability": 0.77294921875}, {"start": 2064.53, "end": 2064.71, "word": " this", "probability": 0.8359375}, {"start": 2064.71, "end": 2065.05, "word": " point.", "probability": 0.94970703125}, {"start": 2065.83, "end": 2066.01, "word": " So", "probability": 0.27783203125}, {"start": 2066.01, "end": 2066.23, "word": " why", "probability": 0.75048828125}, {"start": 2066.23, "end": 2066.29, "word": " is", "probability": 0.223388671875}, {"start": 2066.29, "end": 2066.41, "word": " the", "probability": 0.8427734375}, {"start": 2066.41, "end": 2067.13, "word": " yellow", "probability": 0.76025390625}, {"start": 2067.13, "end": 2067.13, "word": " ray,", "probability": 0.350341796875}, {"start": 2067.27, "end": 2067.35, "word": " which", "probability": 0.8671875}, {"start": 2067.35, "end": 2067.91, "word": " is", "probability": 0.87255859375}, {"start": 2067.91, "end": 2068.35, "word": " adjacent", "probability": 0.1041259765625}, {"start": 2068.35, "end": 2068.61, "word": " to", "probability": 0.9658203125}, {"start": 2068.61, "end": 2068.71, "word": " the", "probability": 0.9033203125}, {"start": 2068.71, "end": 2069.01, "word": " optical", "probability": 0.91748046875}, {"start": 2069.01, "end": 2069.55, "word": " axis,", "probability": 0.97802734375}, {"start": 2069.63, "end": 2069.71, "word": " did", "probability": 0.521484375}, {"start": 2069.71, "end": 2069.71, "word": " not", "probability": 0.93505859375}, {"start": 2069.71, "end": 2069.99, "word": " undergo", "probability": 0.1993408203125}, {"start": 2069.99, "end": 2070.27, "word": " any", "probability": 0.9052734375}, {"start": 2070.27, "end": 2070.69, "word": " change?", "probability": 0.77099609375}, {"start": 2071.11, "end": 2071.37, "word": " Because", "probability": 0.89990234375}, {"start": 2071.37, "end": 2071.47, "word": " we", "probability": 0.38720703125}, {"start": 2071.47, "end": 2071.59, "word": " should", "probability": 0.458984375}, {"start": 2071.59, "end": 2071.59, "word": " not", "probability": 0.89697265625}, {"start": 2071.59, "end": 2071.93, "word": " forget", "probability": 0.91455078125}, {"start": 2071.93, "end": 2072.13, "word": " that", "probability": 0.92236328125}, {"start": 2072.13, "end": 2072.39, "word": " this", "probability": 0.80908203125}, {"start": 2072.39, "end": 2072.41, "word": " is", "probability": 0.9130859375}, {"start": 2072.41, "end": 2072.65, "word": " a", "probability": 0.84228515625}, {"start": 2072.65, "end": 2072.85, "word": " spherical", "probability": 0.9169921875}, {"start": 2072.85, "end": 2073.75, "word": " refracting", "probability": 0.73779296875}, {"start": 2073.75, "end": 2074.07, "word": " surface.", "probability": 0.90087890625}, {"start": 2074.13, "end": 2074.27, "word": " This", "probability": 0.78271484375}, {"start": 2074.27, "end": 2074.37, "word": " is", "probability": 0.93603515625}, {"start": 2074.37, "end": 2074.51, "word": " a", "probability": 0.9091796875}, {"start": 2074.51, "end": 2074.73, "word": " sphere.", "probability": 0.88330078125}], "temperature": 1.0}, {"id": 94, "seek": 210084, "start": 2075.32, "end": 2100.84, "text": "This is the center of the ball. It is true that we assumed from the approximation that this surface is flat, but in the end it is spherical. And any line that extends from the center of the ball to the surface is considered vertical on the surface. So this yellow light fell vertically, this yellow light fell vertically, so it will not change its path, but it will slow down its speed in the ball and remain straight in the same direction without changing anything other than speed.", "tokens": [5723, 307, 264, 3056, 295, 264, 2594, 13, 467, 307, 2074, 300, 321, 15895, 490, 264, 28023, 300, 341, 3753, 307, 4962, 11, 457, 294, 264, 917, 309, 307, 37300, 13, 400, 604, 1622, 300, 26448, 490, 264, 3056, 295, 264, 2594, 281, 264, 3753, 307, 4888, 9429, 322, 264, 3753, 13, 407, 341, 5566, 1442, 5696, 28450, 11, 341, 5566, 1442, 5696, 28450, 11, 370, 309, 486, 406, 1319, 1080, 3100, 11, 457, 309, 486, 2964, 760, 1080, 3073, 294, 264, 2594, 293, 6222, 2997, 294, 264, 912, 3513, 1553, 4473, 1340, 661, 813, 3073, 13], "avg_logprob": -0.47512754615472286, "compression_ratio": 1.9634146341463414, "no_speech_prob": 9.655952453613281e-06, "words": [{"start": 2075.32, "end": 2075.58, "word": "This", "probability": 0.1959228515625}, {"start": 2075.58, "end": 2075.8, "word": " is", "probability": 0.255615234375}, {"start": 2075.8, "end": 2075.8, "word": " the", "probability": 0.64501953125}, {"start": 2075.8, "end": 2076.08, "word": " center", "probability": 0.64306640625}, {"start": 2076.08, "end": 2076.68, "word": " of", "probability": 0.67041015625}, {"start": 2076.68, "end": 2076.76, "word": " the", "probability": 0.84619140625}, {"start": 2076.76, "end": 2076.94, "word": " ball.", "probability": 0.7734375}, {"start": 2077.3, "end": 2077.46, "word": " It", "probability": 0.0963134765625}, {"start": 2077.46, "end": 2077.46, "word": " is", "probability": 0.447998046875}, {"start": 2077.46, "end": 2077.56, "word": " true", "probability": 0.7255859375}, {"start": 2077.56, "end": 2077.74, "word": " that", "probability": 0.84130859375}, {"start": 2077.74, "end": 2077.78, "word": " we", "probability": 0.83349609375}, {"start": 2077.78, "end": 2078.18, "word": " assumed", "probability": 0.3681640625}, {"start": 2078.18, "end": 2078.36, "word": " from", "probability": 0.432861328125}, {"start": 2078.36, "end": 2078.78, "word": " the", "probability": 0.58984375}, {"start": 2078.78, "end": 2079.06, "word": " approximation", "probability": 0.41748046875}, {"start": 2079.06, "end": 2079.24, "word": " that", "probability": 0.57666015625}, {"start": 2079.24, "end": 2079.52, "word": " this", "probability": 0.74755859375}, {"start": 2079.52, "end": 2079.86, "word": " surface", "probability": 0.51123046875}, {"start": 2079.86, "end": 2080.18, "word": " is", "probability": 0.5703125}, {"start": 2080.18, "end": 2080.9, "word": " flat,", "probability": 0.56494140625}, {"start": 2081.08, "end": 2081.36, "word": " but", "probability": 0.84619140625}, {"start": 2081.36, "end": 2081.74, "word": " in", "probability": 0.38134765625}, {"start": 2081.74, "end": 2081.9, "word": " the", "probability": 0.671875}, {"start": 2081.9, "end": 2082.1, "word": " end", "probability": 0.9150390625}, {"start": 2082.1, "end": 2082.18, "word": " it", "probability": 0.7802734375}, {"start": 2082.18, "end": 2082.2, "word": " is", "probability": 0.85546875}, {"start": 2082.2, "end": 2082.62, "word": " spherical.", "probability": 0.51611328125}, {"start": 2083.14, "end": 2083.26, "word": " And", "probability": 0.377685546875}, {"start": 2083.26, "end": 2083.62, "word": " any", "probability": 0.7919921875}, {"start": 2083.62, "end": 2083.94, "word": " line", "probability": 0.728515625}, {"start": 2083.94, "end": 2084.1, "word": " that", "probability": 0.291015625}, {"start": 2084.1, "end": 2084.64, "word": " extends", "probability": 0.53564453125}, {"start": 2084.64, "end": 2085.42, "word": " from", "probability": 0.87890625}, {"start": 2085.42, "end": 2085.56, "word": " the", "probability": 0.90380859375}, {"start": 2085.56, "end": 2085.86, "word": " center", "probability": 0.873046875}, {"start": 2085.86, "end": 2085.98, "word": " of", "probability": 0.912109375}, {"start": 2085.98, "end": 2086.06, "word": " the", "probability": 0.9150390625}, {"start": 2086.06, "end": 2086.24, "word": " ball", "probability": 0.8916015625}, {"start": 2086.24, "end": 2086.4, "word": " to", "probability": 0.94384765625}, {"start": 2086.4, "end": 2086.54, "word": " the", "probability": 0.921875}, {"start": 2086.54, "end": 2086.62, "word": " surface", "probability": 0.74072265625}, {"start": 2086.62, "end": 2086.84, "word": " is", "probability": 0.62158203125}, {"start": 2086.84, "end": 2087.26, "word": " considered", "probability": 0.59716796875}, {"start": 2087.26, "end": 2087.56, "word": " vertical", "probability": 0.58740234375}, {"start": 2087.56, "end": 2087.8, "word": " on", "probability": 0.7568359375}, {"start": 2087.8, "end": 2087.98, "word": " the", "probability": 0.9111328125}, {"start": 2087.98, "end": 2088.18, "word": " surface.", "probability": 0.7880859375}, {"start": 2088.28, "end": 2088.48, "word": " So", "probability": 0.7587890625}, {"start": 2088.48, "end": 2088.8, "word": " this", "probability": 0.79638671875}, {"start": 2088.8, "end": 2089.14, "word": " yellow", "probability": 0.70458984375}, {"start": 2089.14, "end": 2089.14, "word": " light", "probability": 0.1761474609375}, {"start": 2089.14, "end": 2089.48, "word": " fell", "probability": 0.372802734375}, {"start": 2089.48, "end": 2090.06, "word": " vertically,", "probability": 0.42529296875}, {"start": 2090.48, "end": 2091.12, "word": " this", "probability": 0.364990234375}, {"start": 2091.12, "end": 2091.34, "word": " yellow", "probability": 0.6767578125}, {"start": 2091.34, "end": 2091.88, "word": " light", "probability": 0.80419921875}, {"start": 2091.88, "end": 2092.22, "word": " fell", "probability": 0.76318359375}, {"start": 2092.22, "end": 2092.8, "word": " vertically,", "probability": 0.88623046875}, {"start": 2093.02, "end": 2093.32, "word": " so", "probability": 0.59375}, {"start": 2093.32, "end": 2093.5, "word": " it", "probability": 0.853515625}, {"start": 2093.5, "end": 2093.62, "word": " will", "probability": 0.66064453125}, {"start": 2093.62, "end": 2093.62, "word": " not", "probability": 0.92333984375}, {"start": 2093.62, "end": 2094.0, "word": " change", "probability": 0.8984375}, {"start": 2094.0, "end": 2094.14, "word": " its", "probability": 0.80224609375}, {"start": 2094.14, "end": 2094.4, "word": " path,", "probability": 0.45849609375}, {"start": 2094.52, "end": 2094.7, "word": " but", "probability": 0.8828125}, {"start": 2094.7, "end": 2094.84, "word": " it", "probability": 0.3828125}, {"start": 2094.84, "end": 2094.9, "word": " will", "probability": 0.8564453125}, {"start": 2094.9, "end": 2095.16, "word": " slow", "probability": 0.50390625}, {"start": 2095.16, "end": 2095.3, "word": " down", "probability": 0.78369140625}, {"start": 2095.3, "end": 2095.3, "word": " its", "probability": 0.336669921875}, {"start": 2095.3, "end": 2095.48, "word": " speed", "probability": 0.63037109375}, {"start": 2095.48, "end": 2095.7, "word": " in", "probability": 0.68212890625}, {"start": 2095.7, "end": 2095.78, "word": " the", "probability": 0.84619140625}, {"start": 2095.78, "end": 2095.98, "word": " ball", "probability": 0.1917724609375}, {"start": 2095.98, "end": 2096.18, "word": " and", "probability": 0.7998046875}, {"start": 2096.18, "end": 2096.58, "word": " remain", "probability": 0.55712890625}, {"start": 2096.58, "end": 2097.0, "word": " straight", "probability": 0.697265625}, {"start": 2097.0, "end": 2097.54, "word": " in", "probability": 0.85205078125}, {"start": 2097.54, "end": 2097.94, "word": " the", "probability": 0.92626953125}, {"start": 2097.94, "end": 2097.94, "word": " same", "probability": 0.89892578125}, {"start": 2097.94, "end": 2098.62, "word": " direction", "probability": 0.958984375}, {"start": 2098.62, "end": 2099.16, "word": " without", "probability": 0.845703125}, {"start": 2099.16, "end": 2099.7, "word": " changing", "probability": 0.84521484375}, {"start": 2099.7, "end": 2100.1, "word": " anything", "probability": 0.85595703125}, {"start": 2100.1, "end": 2100.46, "word": " other", "probability": 0.479736328125}, {"start": 2100.46, "end": 2100.58, "word": " than", "probability": 0.9501953125}, {"start": 2100.58, "end": 2100.84, "word": " speed.", "probability": 0.80078125}], "temperature": 1.0}, {"id": 95, "seek": 211636, "start": 2101.26, "end": 2116.36, "text": "الان هذا الشعاع الأحمر سقط بزاوية سقوط صغيرة جدا، على فكرة الزوايا هي صغيرة جدا، بس مبينة إلها يعني قيمة كبيرة لأنه احنا مطينا الرسم عموديا لتوضيح الفكرة، لتوضيح الفكرة", "tokens": [6027, 7649, 23758, 25124, 3615, 45761, 16247, 5016, 29973, 8608, 47432, 4724, 11622, 995, 2407, 10632, 8608, 4587, 2407, 9566, 20328, 17082, 48923, 10874, 28259, 12399, 15844, 6156, 4117, 25720, 6024, 110, 14407, 25528, 39896, 20328, 17082, 48923, 10874, 28259, 12399, 4724, 3794, 3714, 3555, 9957, 3660, 11933, 1211, 11296, 37495, 22653, 12174, 32640, 3660, 9122, 3555, 48923, 5296, 33456, 3224, 1975, 5016, 8315, 3714, 9566, 1829, 8315, 34892, 38251, 6225, 2304, 2407, 16254, 995, 5296, 2655, 2407, 11242, 1829, 5016, 27188, 4117, 25720, 12399, 5296, 2655, 2407, 11242, 1829, 5016, 27188, 4117, 25720], "avg_logprob": -0.13610196897858068, "compression_ratio": 1.8719512195121952, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2101.26, "end": 2101.72, "word": "الان", "probability": 0.728515625}, {"start": 2101.72, "end": 2102.06, "word": " هذا", "probability": 0.53466796875}, {"start": 2102.06, "end": 2102.98, "word": " الشعاع", "probability": 0.92333984375}, {"start": 2102.98, "end": 2103.5, "word": " الأحمر", "probability": 0.9182942708333334}, {"start": 2103.5, "end": 2103.94, "word": " سقط", "probability": 0.895263671875}, {"start": 2103.94, "end": 2104.52, "word": " بزاوية", "probability": 0.96162109375}, {"start": 2104.52, "end": 2104.86, "word": " سقوط", "probability": 0.97021484375}, {"start": 2104.86, "end": 2105.22, "word": " صغيرة", "probability": 0.9768880208333334}, {"start": 2105.22, "end": 2105.5, "word": " جدا،", "probability": 0.8880208333333334}, {"start": 2105.5, "end": 2105.58, "word": " على", "probability": 0.486572265625}, {"start": 2105.58, "end": 2105.84, "word": " فكرة", "probability": 0.9856770833333334}, {"start": 2105.84, "end": 2106.3, "word": " الزوايا", "probability": 0.7982177734375}, {"start": 2106.3, "end": 2106.46, "word": " هي", "probability": 0.662109375}, {"start": 2106.46, "end": 2106.9, "word": " صغيرة", "probability": 0.9874674479166666}, {"start": 2106.9, "end": 2107.7, "word": " جدا،", "probability": 0.8805338541666666}, {"start": 2107.7, "end": 2107.88, "word": " بس", "probability": 0.9951171875}, {"start": 2107.88, "end": 2108.34, "word": " مبينة", "probability": 0.8038330078125}, {"start": 2108.34, "end": 2108.56, "word": " إلها", "probability": 0.6652018229166666}, {"start": 2108.56, "end": 2109.0, "word": " يعني", "probability": 0.887939453125}, {"start": 2109.0, "end": 2110.04, "word": " قيمة", "probability": 0.994140625}, {"start": 2110.04, "end": 2110.66, "word": " كبيرة", "probability": 0.9881184895833334}, {"start": 2110.66, "end": 2111.46, "word": " لأنه", "probability": 0.5335286458333334}, {"start": 2111.46, "end": 2111.68, "word": " احنا", "probability": 0.8466796875}, {"start": 2111.68, "end": 2112.16, "word": " مطينا", "probability": 0.8868408203125}, {"start": 2112.16, "end": 2112.56, "word": " الرسم", "probability": 0.975830078125}, {"start": 2112.56, "end": 2113.22, "word": " عموديا", "probability": 0.92158203125}, {"start": 2113.22, "end": 2113.98, "word": " لتوضيح", "probability": 0.97900390625}, {"start": 2113.98, "end": 2114.74, "word": " الفكرة،", "probability": 0.86566162109375}, {"start": 2114.74, "end": 2115.56, "word": " لتوضيح", "probability": 0.984375}, {"start": 2115.56, "end": 2116.36, "word": " الفكرة", "probability": 0.9900716145833334}], "temperature": 1.0}, {"id": 96, "seek": 213762, "start": 2116.58, "end": 2137.62, "text": "So this is the first ray which is red and the second ray which is yellow and they meet in the image, they intersect in the image, the image is formed, I can calculate the image distance and object distance, that is, the image location and object location and get the magnification from them, and so I calculate the remaining image properties other than image quality", "tokens": [6455, 341, 307, 264, 700, 18592, 597, 307, 2182, 293, 264, 1150, 18592, 597, 307, 5566, 293, 436, 1677, 294, 264, 3256, 11, 436, 27815, 294, 264, 3256, 11, 264, 3256, 307, 8693, 11, 286, 393, 8873, 264, 3256, 4560, 293, 2657, 4560, 11, 300, 307, 11, 264, 3256, 4914, 293, 2657, 4914, 293, 483, 264, 4944, 3774, 490, 552, 11, 293, 370, 286, 8873, 264, 8877, 3256, 7221, 661, 813, 3256, 3125], "avg_logprob": -0.49282094755688227, "compression_ratio": 2.0, "no_speech_prob": 2.2649765014648438e-06, "words": [{"start": 2116.58, "end": 2116.98, "word": "So", "probability": 0.54296875}, {"start": 2116.98, "end": 2117.52, "word": " this", "probability": 0.30126953125}, {"start": 2117.52, "end": 2117.58, "word": " is", "probability": 0.7236328125}, {"start": 2117.58, "end": 2117.76, "word": " the", "probability": 0.67529296875}, {"start": 2117.76, "end": 2117.82, "word": " first", "probability": 0.78955078125}, {"start": 2117.82, "end": 2118.04, "word": " ray", "probability": 0.277587890625}, {"start": 2118.04, "end": 2118.52, "word": " which", "probability": 0.326904296875}, {"start": 2118.52, "end": 2118.7, "word": " is", "probability": 0.876953125}, {"start": 2118.7, "end": 2119.2, "word": " red", "probability": 0.673828125}, {"start": 2119.2, "end": 2119.5, "word": " and", "probability": 0.55908203125}, {"start": 2119.5, "end": 2119.6, "word": " the", "probability": 0.73193359375}, {"start": 2119.6, "end": 2119.64, "word": " second", "probability": 0.7294921875}, {"start": 2119.64, "end": 2120.22, "word": " ray", "probability": 0.63134765625}, {"start": 2120.22, "end": 2120.42, "word": " which", "probability": 0.325439453125}, {"start": 2120.42, "end": 2120.76, "word": " is", "probability": 0.9501953125}, {"start": 2120.76, "end": 2121.2, "word": " yellow", "probability": 0.833984375}, {"start": 2121.2, "end": 2121.72, "word": " and", "probability": 0.568359375}, {"start": 2121.72, "end": 2122.08, "word": " they", "probability": 0.60107421875}, {"start": 2122.08, "end": 2122.08, "word": " meet", "probability": 0.421875}, {"start": 2122.08, "end": 2122.38, "word": " in", "probability": 0.65576171875}, {"start": 2122.38, "end": 2122.52, "word": " the", "probability": 0.64013671875}, {"start": 2122.52, "end": 2122.74, "word": " image,", "probability": 0.88818359375}, {"start": 2122.84, "end": 2122.94, "word": " they", "probability": 0.2335205078125}, {"start": 2122.94, "end": 2123.24, "word": " intersect", "probability": 0.55859375}, {"start": 2123.24, "end": 2123.64, "word": " in", "probability": 0.7685546875}, {"start": 2123.64, "end": 2123.78, "word": " the", "probability": 0.89306640625}, {"start": 2123.78, "end": 2124.06, "word": " image,", "probability": 0.9169921875}, {"start": 2124.14, "end": 2124.66, "word": " the", "probability": 0.4814453125}, {"start": 2124.66, "end": 2125.06, "word": " image", "probability": 0.93505859375}, {"start": 2125.06, "end": 2125.06, "word": " is", "probability": 0.55712890625}, {"start": 2125.06, "end": 2125.06, "word": " formed,", "probability": 0.65185546875}, {"start": 2125.4, "end": 2125.54, "word": " I", "probability": 0.8017578125}, {"start": 2125.54, "end": 2125.7, "word": " can", "probability": 0.89697265625}, {"start": 2125.7, "end": 2126.06, "word": " calculate", "probability": 0.7958984375}, {"start": 2126.06, "end": 2126.26, "word": " the", "probability": 0.70703125}, {"start": 2126.26, "end": 2126.5, "word": " image", "probability": 0.876953125}, {"start": 2126.5, "end": 2127.08, "word": " distance", "probability": 0.931640625}, {"start": 2127.08, "end": 2127.38, "word": " and", "probability": 0.8984375}, {"start": 2127.38, "end": 2127.7, "word": " object", "probability": 0.62353515625}, {"start": 2127.7, "end": 2128.34, "word": " distance,", "probability": 0.93212890625}, {"start": 2128.5, "end": 2128.52, "word": " that", "probability": 0.2430419921875}, {"start": 2128.52, "end": 2128.52, "word": " is,", "probability": 0.888671875}, {"start": 2128.6, "end": 2128.66, "word": " the", "probability": 0.53515625}, {"start": 2128.66, "end": 2128.88, "word": " image", "probability": 0.9296875}, {"start": 2128.88, "end": 2129.48, "word": " location", "probability": 0.93896484375}, {"start": 2129.48, "end": 2129.68, "word": " and", "probability": 0.9287109375}, {"start": 2129.68, "end": 2130.0, "word": " object", "probability": 0.7578125}, {"start": 2130.0, "end": 2130.58, "word": " location", "probability": 0.9423828125}, {"start": 2130.58, "end": 2130.72, "word": " and", "probability": 0.58837890625}, {"start": 2130.72, "end": 2130.98, "word": " get", "probability": 0.49853515625}, {"start": 2130.98, "end": 2131.98, "word": " the", "probability": 0.505859375}, {"start": 2131.98, "end": 2132.8, "word": " magnification", "probability": 0.964111328125}, {"start": 2132.8, "end": 2132.8, "word": " from", "probability": 0.72265625}, {"start": 2132.8, "end": 2132.8, "word": " them,", "probability": 0.89453125}, {"start": 2132.84, "end": 2132.9, "word": " and", "probability": 0.5869140625}, {"start": 2132.9, "end": 2133.0, "word": " so", "probability": 0.374755859375}, {"start": 2133.0, "end": 2133.14, "word": " I", "probability": 0.75}, {"start": 2133.14, "end": 2133.38, "word": " calculate", "probability": 0.3154296875}, {"start": 2133.38, "end": 2134.62, "word": " the", "probability": 0.673828125}, {"start": 2134.62, "end": 2135.3, "word": " remaining", "probability": 0.438720703125}, {"start": 2135.3, "end": 2135.6, "word": " image", "probability": 0.37158203125}, {"start": 2135.6, "end": 2136.28, "word": " properties", "probability": 0.26806640625}, {"start": 2136.28, "end": 2136.66, "word": " other", "probability": 0.583984375}, {"start": 2136.66, "end": 2136.8, "word": " than", "probability": 0.9501953125}, {"start": 2136.8, "end": 2137.06, "word": " image", "probability": 0.64306640625}, {"start": 2137.06, "end": 2137.62, "word": " quality", "probability": 0.87353515625}], "temperature": 1.0}, {"id": 97, "seek": 216009, "start": 2138.75, "end": 2160.09, "text": "So far, scientists have used two principles, the first one is to ignore image quality, and the second one is para axial approximation The para axial approximation is summarized in two words only, not a third of them That we will use as scientists the para axial ray, not the peripheral ray, and we will consider the surface", "tokens": [6455, 1400, 11, 7708, 362, 1143, 732, 9156, 11, 264, 700, 472, 307, 281, 11200, 3256, 3125, 11, 293, 264, 1150, 472, 307, 1690, 46851, 28023, 440, 1690, 46851, 28023, 307, 14611, 1602, 294, 732, 2283, 787, 11, 406, 257, 2636, 295, 552, 663, 321, 486, 764, 382, 7708, 264, 1690, 46851, 18592, 11, 406, 264, 40235, 18592, 11, 293, 321, 486, 1949, 264, 3753], "avg_logprob": -0.45999052398132556, "compression_ratio": 1.7747252747252746, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2138.75, "end": 2139.11, "word": "So", "probability": 0.82373046875}, {"start": 2139.11, "end": 2139.57, "word": " far,", "probability": 0.1669921875}, {"start": 2139.63, "end": 2139.63, "word": " scientists", "probability": 0.6708984375}, {"start": 2139.63, "end": 2140.67, "word": " have", "probability": 0.55712890625}, {"start": 2140.67, "end": 2141.25, "word": " used", "probability": 0.869140625}, {"start": 2141.25, "end": 2142.63, "word": " two", "probability": 0.85498046875}, {"start": 2142.63, "end": 2142.63, "word": " principles,", "probability": 0.6318359375}, {"start": 2142.87, "end": 2142.95, "word": " the", "probability": 0.38134765625}, {"start": 2142.95, "end": 2143.17, "word": " first", "probability": 0.72607421875}, {"start": 2143.17, "end": 2143.21, "word": " one", "probability": 0.3037109375}, {"start": 2143.21, "end": 2143.31, "word": " is", "probability": 0.654296875}, {"start": 2143.31, "end": 2143.33, "word": " to", "probability": 0.335693359375}, {"start": 2143.33, "end": 2143.71, "word": " ignore", "probability": 0.84033203125}, {"start": 2143.71, "end": 2144.03, "word": " image", "probability": 0.8857421875}, {"start": 2144.03, "end": 2144.61, "word": " quality,", "probability": 0.85009765625}, {"start": 2144.77, "end": 2144.91, "word": " and", "probability": 0.87646484375}, {"start": 2144.91, "end": 2145.03, "word": " the", "probability": 0.8857421875}, {"start": 2145.03, "end": 2145.03, "word": " second", "probability": 0.78759765625}, {"start": 2145.03, "end": 2145.41, "word": " one", "probability": 0.5361328125}, {"start": 2145.41, "end": 2145.79, "word": " is", "probability": 0.896484375}, {"start": 2145.79, "end": 2146.11, "word": " para", "probability": 0.270751953125}, {"start": 2146.11, "end": 2146.53, "word": " axial", "probability": 0.492431640625}, {"start": 2146.53, "end": 2147.49, "word": " approximation", "probability": 0.86181640625}, {"start": 2147.49, "end": 2148.01, "word": " The", "probability": 0.32763671875}, {"start": 2148.01, "end": 2148.37, "word": " para", "probability": 0.646484375}, {"start": 2148.37, "end": 2148.89, "word": " axial", "probability": 0.94921875}, {"start": 2148.89, "end": 2149.93, "word": " approximation", "probability": 0.92626953125}, {"start": 2149.93, "end": 2151.19, "word": " is", "probability": 0.59375}, {"start": 2151.19, "end": 2151.69, "word": " summarized", "probability": 0.817138671875}, {"start": 2151.69, "end": 2151.79, "word": " in", "probability": 0.70947265625}, {"start": 2151.79, "end": 2151.93, "word": " two", "probability": 0.78369140625}, {"start": 2151.93, "end": 2152.49, "word": " words", "probability": 0.6455078125}, {"start": 2152.49, "end": 2152.79, "word": " only,", "probability": 0.2181396484375}, {"start": 2152.95, "end": 2153.03, "word": " not", "probability": 0.475830078125}, {"start": 2153.03, "end": 2153.19, "word": " a", "probability": 0.417236328125}, {"start": 2153.19, "end": 2153.45, "word": " third", "probability": 0.9482421875}, {"start": 2153.45, "end": 2153.57, "word": " of", "probability": 0.85986328125}, {"start": 2153.57, "end": 2153.81, "word": " them", "probability": 0.80859375}, {"start": 2153.81, "end": 2154.37, "word": " That", "probability": 0.28564453125}, {"start": 2154.37, "end": 2154.77, "word": " we", "probability": 0.7119140625}, {"start": 2154.77, "end": 2154.81, "word": " will", "probability": 0.60302734375}, {"start": 2154.81, "end": 2155.31, "word": " use", "probability": 0.87841796875}, {"start": 2155.31, "end": 2155.57, "word": " as", "probability": 0.6494140625}, {"start": 2155.57, "end": 2155.95, "word": " scientists", "probability": 0.755859375}, {"start": 2155.95, "end": 2156.41, "word": " the", "probability": 0.52685546875}, {"start": 2156.41, "end": 2156.69, "word": " para", "probability": 0.779296875}, {"start": 2156.69, "end": 2157.19, "word": " axial", "probability": 0.90869140625}, {"start": 2157.19, "end": 2157.45, "word": " ray,", "probability": 0.9482421875}, {"start": 2157.57, "end": 2157.67, "word": " not", "probability": 0.82666015625}, {"start": 2157.67, "end": 2157.81, "word": " the", "probability": 0.87548828125}, {"start": 2157.81, "end": 2158.15, "word": " peripheral", "probability": 0.76025390625}, {"start": 2158.15, "end": 2158.57, "word": " ray,", "probability": 0.9541015625}, {"start": 2158.95, "end": 2159.07, "word": " and", "probability": 0.66845703125}, {"start": 2159.07, "end": 2159.17, "word": " we", "probability": 0.73388671875}, {"start": 2159.17, "end": 2159.17, "word": " will", "probability": 0.80419921875}, {"start": 2159.17, "end": 2159.59, "word": " consider", "probability": 0.837890625}, {"start": 2159.59, "end": 2159.81, "word": " the", "probability": 0.919921875}, {"start": 2159.81, "end": 2160.09, "word": " surface", "probability": 0.7197265625}], "temperature": 1.0}, {"id": 98, "seek": 217829, "start": 2164.59, "end": 2178.29, "text": "in comparison to paraaxial ray, flat, not curved, flat, not curved to facilitate the task next time, or let's read, next time we will take", "tokens": [259, 9660, 281, 1690, 2797, 831, 18592, 11, 4962, 11, 406, 24991, 11, 4962, 11, 406, 24991, 281, 20207, 264, 5633, 958, 565, 11, 420, 718, 311, 1401, 11, 958, 565, 321, 486, 747], "avg_logprob": -0.7187499761581421, "compression_ratio": 1.393939393939394, "no_speech_prob": 1.0132789611816406e-05, "words": [{"start": 2164.59, "end": 2164.79, "word": "in", "probability": 0.04632568359375}, {"start": 2164.79, "end": 2165.25, "word": " comparison", "probability": 0.5390625}, {"start": 2165.25, "end": 2166.23, "word": " to", "probability": 0.84228515625}, {"start": 2166.23, "end": 2167.63, "word": " paraaxial", "probability": 0.2950439453125}, {"start": 2167.63, "end": 2167.83, "word": " ray,", "probability": 0.311279296875}, {"start": 2168.03, "end": 2168.47, "word": " flat,", "probability": 0.449462890625}, {"start": 2168.81, "end": 2168.99, "word": " not", "probability": 0.80615234375}, {"start": 2168.99, "end": 2169.41, "word": " curved,", "probability": 0.8779296875}, {"start": 2169.49, "end": 2169.81, "word": " flat,", "probability": 0.42041015625}, {"start": 2170.07, "end": 2170.15, "word": " not", "probability": 0.9296875}, {"start": 2170.15, "end": 2170.43, "word": " curved", "probability": 0.93896484375}, {"start": 2170.43, "end": 2170.61, "word": " to", "probability": 0.50732421875}, {"start": 2170.61, "end": 2171.13, "word": " facilitate", "probability": 0.68115234375}, {"start": 2171.13, "end": 2171.63, "word": " the", "probability": 0.67041015625}, {"start": 2171.63, "end": 2171.93, "word": " task", "probability": 0.357421875}, {"start": 2171.93, "end": 2172.39, "word": " next", "probability": 0.35205078125}, {"start": 2172.39, "end": 2173.15, "word": " time,", "probability": 0.87353515625}, {"start": 2173.59, "end": 2173.71, "word": " or", "probability": 0.412841796875}, {"start": 2173.71, "end": 2173.99, "word": " let's", "probability": 0.9150390625}, {"start": 2173.99, "end": 2174.25, "word": " read,", "probability": 0.86474609375}, {"start": 2174.43, "end": 2175.11, "word": " next", "probability": 0.3310546875}, {"start": 2175.11, "end": 2177.07, "word": " time", "probability": 0.890625}, {"start": 2177.07, "end": 2177.87, "word": " we", "probability": 0.6630859375}, {"start": 2177.87, "end": 2177.87, "word": " will", "probability": 0.4990234375}, {"start": 2177.87, "end": 2178.29, "word": " take", "probability": 0.80322265625}], "temperature": 1.0}, {"id": 99, "seek": 219551, "start": 2180.05, "end": 2195.51, "text": "The third thing that scientists did to simplify it even more, which is called Small Angle Approximation, which means this time we explained the ignoring for image quality, and the second thing is the Paraxial Approximation, God bless you all and peace be upon you all", "tokens": [2278, 2636, 551, 300, 7708, 630, 281, 20460, 309, 754, 544, 11, 597, 307, 1219, 15287, 4521, 306, 29551, 3081, 399, 11, 597, 1355, 341, 565, 321, 8825, 264, 26258, 337, 3256, 3125, 11, 293, 264, 1150, 551, 307, 264, 3457, 2797, 831, 29551, 3081, 399, 11, 1265, 5227, 291, 439, 293, 4336, 312, 3564, 291, 439], "avg_logprob": -0.6099138095461089, "compression_ratio": 1.5433526011560694, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2180.05, "end": 2180.25, "word": "The", "probability": 0.158447265625}, {"start": 2180.25, "end": 2180.45, "word": " third", "probability": 0.85546875}, {"start": 2180.45, "end": 2180.71, "word": " thing", "probability": 0.73681640625}, {"start": 2180.71, "end": 2180.97, "word": " that", "probability": 0.1981201171875}, {"start": 2180.97, "end": 2181.29, "word": " scientists", "probability": 0.607421875}, {"start": 2181.29, "end": 2181.51, "word": " did", "probability": 0.53564453125}, {"start": 2181.51, "end": 2181.63, "word": " to", "probability": 0.46728515625}, {"start": 2181.63, "end": 2182.01, "word": " simplify", "probability": 0.5185546875}, {"start": 2182.01, "end": 2182.21, "word": " it", "probability": 0.21728515625}, {"start": 2182.21, "end": 2182.45, "word": " even", "probability": 0.1943359375}, {"start": 2182.45, "end": 2183.75, "word": " more,", "probability": 0.86865234375}, {"start": 2183.97, "end": 2184.05, "word": " which", "probability": 0.341796875}, {"start": 2184.05, "end": 2184.27, "word": " is", "probability": 0.8154296875}, {"start": 2184.27, "end": 2184.71, "word": " called", "probability": 0.484619140625}, {"start": 2184.71, "end": 2185.17, "word": " Small", "probability": 0.1802978515625}, {"start": 2185.17, "end": 2185.69, "word": " Angle", "probability": 0.81689453125}, {"start": 2185.69, "end": 2186.51, "word": " Approximation,", "probability": 0.9754231770833334}, {"start": 2186.51, "end": 2186.69, "word": " which", "probability": 0.34521484375}, {"start": 2186.69, "end": 2186.71, "word": " means", "probability": 0.457763671875}, {"start": 2186.71, "end": 2186.83, "word": " this", "probability": 0.53466796875}, {"start": 2186.83, "end": 2187.03, "word": " time", "probability": 0.88525390625}, {"start": 2187.03, "end": 2187.35, "word": " we", "probability": 0.7939453125}, {"start": 2187.35, "end": 2187.67, "word": " explained", "probability": 0.473388671875}, {"start": 2187.67, "end": 2188.53, "word": " the", "probability": 0.37744140625}, {"start": 2188.53, "end": 2189.07, "word": " ignoring", "probability": 0.52685546875}, {"start": 2189.07, "end": 2189.35, "word": " for", "probability": 0.34326171875}, {"start": 2189.35, "end": 2189.71, "word": " image", "probability": 0.751953125}, {"start": 2189.71, "end": 2190.31, "word": " quality,", "probability": 0.85205078125}, {"start": 2190.67, "end": 2190.79, "word": " and", "probability": 0.88232421875}, {"start": 2190.79, "end": 2190.89, "word": " the", "probability": 0.5908203125}, {"start": 2190.89, "end": 2191.01, "word": " second", "probability": 0.82275390625}, {"start": 2191.01, "end": 2191.37, "word": " thing", "probability": 0.8408203125}, {"start": 2191.37, "end": 2191.53, "word": " is", "probability": 0.46240234375}, {"start": 2191.53, "end": 2191.59, "word": " the", "probability": 0.411376953125}, {"start": 2191.59, "end": 2192.29, "word": " Paraxial", "probability": 0.7693684895833334}, {"start": 2192.29, "end": 2193.31, "word": " Approximation,", "probability": 0.9734700520833334}, {"start": 2193.41, "end": 2193.55, "word": " God", "probability": 0.1182861328125}, {"start": 2193.55, "end": 2193.75, "word": " bless", "probability": 0.8115234375}, {"start": 2193.75, "end": 2194.41, "word": " you", "probability": 0.93896484375}, {"start": 2194.41, "end": 2194.47, "word": " all", "probability": 0.5126953125}, {"start": 2194.47, "end": 2194.55, "word": " and", "probability": 0.4111328125}, {"start": 2194.55, "end": 2194.85, "word": " peace", "probability": 0.5615234375}, {"start": 2194.85, "end": 2195.09, "word": " be", "probability": 0.62744140625}, {"start": 2195.09, "end": 2195.15, "word": " upon", "probability": 0.82763671875}, {"start": 2195.15, "end": 2195.45, "word": " you", "probability": 0.9609375}, {"start": 2195.45, "end": 2195.51, "word": " all", "probability": 0.669921875}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 2197.23475, "duration_after_vad": 2154.808124999996}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/OSUPUrFrhtg_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/OSUPUrFrhtg_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..21b1fcd809397920950798a3f3872eb4adf031cc
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/OSUPUrFrhtg_postprocess.srt
@@ -0,0 +1,156 @@
+1
+00:00:01,850 --> 00:00:02,730
+In the name of God, the most gracious, the most
+
+2
+00:00:02,730 --> 00:00:06,170
+merciful We have an example We want to calculate
+
+3
+00:00:06,170 --> 00:00:09,930
+the vergence and the reduced vergence of the light
+
+4
+00:00:09,930 --> 00:00:13,090
+that started from a point point source that I
+
+5
+00:00:13,090 --> 00:00:16,330
+pointed out This point started from this point and
+
+6
+00:00:16,330 --> 00:00:18,870
+the light went through the air After 10
+
+7
+00:00:18,870 --> 00:00:20,710
+centimeters, we want to calculate the vergence and
+
+8
+00:00:20,710 --> 00:00:22,810
+the reduced vergence We say that the vergence is
+
+9
+00:00:22,810 --> 00:00:24,810
+the inverse of the distance The calculation is
+
+10
+00:00:24,810 --> 00:00:30,710
+done in the form of vergence equals one over the
+
+11
+00:00:30,710 --> 00:00:31,110
+distance
+
+12
+00:00:38,510 --> 00:00:41,010
+Divergent light is a negative divergence that
+
+13
+00:00:41,010 --> 00:00:46,070
+takes a negative sign. 1 over 10 cm becomes 1
+
+14
+00:00:46,070 --> 00:00:48,550
+meter, which is 1 out of 10 meters.
+
+15
+00:00:51,310 --> 00:00:56,290
+Minus 1 over 1 out of 10 equals minus 10and when
+
+16
+00:00:56,290 --> 00:00:58,790
+the meter is in the right place, it becomes meter
+
+17
+00:00:58,790 --> 00:01:04,510
+cos minus one meter cos minus one and then it
+
+18
+00:01:04,510 --> 00:01:09,850
+becomes minus meter
+
+19
+00:01:09,850 --> 00:01:14,210
+cos minus one this
+
+20
+00:01:14,210 --> 00:01:18,970
+is the variance let's make it smaller by minus one
+
+21
+00:01:18,970 --> 00:01:23,170
+which is cosWe say one meter minus one. Of course,
+
+22
+00:01:23,410 --> 00:01:35,110
+one meter minus one is equal to minus
+
+23
+00:01:35,110 --> 00:01:35,690
+ten
+
+24
+00:01:42,360 --> 00:01:45,080
+because the meter must be less than 1 which is
+
+25
+00:01:45,080 --> 00:01:48,500
+equal to minus 10 diopters minus 10 diopters is
+
+26
+00:01:48,500 --> 00:01:51,280
+the vergence the reduced vergence the reduced
+
+27
+00:01:51,280 --> 00:02:00,200
+vergence is equal to the vergence times the
+
+28
+00:02:00,200 --> 00:02:03,160
+refractive index which is n times n which is equal
+
+29
+00:02:03,160 --> 00:02:07,660
+to refractive index 1 which is minus 10 diopters
+
+30
+00:02:07,660 --> 00:02:22,650
+times 1تساوي minus عشرة ديوتر تساوي
+
+31
+00:02:22,650 --> 00:02:24,030
+minus عشرة ديوتر تساوي minus عشرة ديوتر تساوي
+
+32
+00:02:24,030 --> 00:02:24,390
+minus عشرة ديوتر تساوي minus عشرة ديوتر تساوي
+
+33
+00:02:24,390 --> 00:02:26,450
+minus عشرة ديوتر تساوي minus عشرة ديوتر تساوي
+
+34
+00:02:26,450 --> 00:02:29,150
+minus عشرة ديوتر تساوي minus عشرةEnded the matter,
+
+35
+00:02:29,350 --> 00:02:31,950
+minus 10 diopters, the vergence of light at a
+
+36
+00:02:31,950 --> 00:02:34,810
+distance of 10 cm from the starting point, and the
+
+37
+00:02:34,810 --> 00:02:38,350
+reduced vergence at this distance, minus 10
+
+38
+00:02:38,350 --> 00:02:40,830
+diopters. May Allah give you health and peace, and
+
+39
+00:02:40,830 --> 00:02:42,330
+His mercy and blessings are upon you.
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Q0jwlQFH1sU.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Q0jwlQFH1sU.srt
new file mode 100644
index 0000000000000000000000000000000000000000..56042464866f0356bd389e6cc5c135c2ecf8de63
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Q0jwlQFH1sU.srt
@@ -0,0 +1,2030 @@
+
+1
+00:00:01,470 --> 00:00:04,770
+بسم الله الرحمن الرحيم، بنبدأ في حل النسخة الأولى
+
+2
+00:00:04,770 --> 00:00:08,650
+من الاختبار النسخة، النسخة الأولى، السؤال أول،
+
+3
+00:00:08,650 --> 00:00:11,270
+light rays coming from real objects have negative
+
+4
+00:00:11,270 --> 00:00:13,870
+versions؟ هذا كلام صحيح، إذا الإجابة صح
+
+5
+00:00:17,570 --> 00:00:20,690
+How much is the divergence of light coming from a
+
+6
+00:00:20,690 --> 00:00:24,350
+candle after two meters of propagation of air? I
+
+7
+00:00:24,350 --> 00:00:27,570
+have two words, distance which is two meters and
+
+8
+00:00:27,570 --> 00:00:32,350
+candle which is a real object, so the rail will
+
+9
+00:00:32,350 --> 00:00:35,310
+diverge from it, so every plus is an exception,
+
+10
+00:00:35,890 --> 00:00:39,330
+plus one, plus two, plus three, plus four, plus
+
+11
+00:00:39,330 --> 00:00:39,870
+five, plus six, plus seven, plus eight, plus nine,
+
+12
+00:00:39,870 --> 00:00:40,190
+plus ten, plus eleven, plus twelve, plus thirteen,
+
+13
+00:00:40,190 --> 00:00:40,210
+eighteen, plus eighteen, plus eighteen, plus
+
+14
+00:00:40,210 --> 00:00:40,230
+eighteen, plus eighteen, plus eighteen, plus
+
+15
+00:00:40,230 --> 00:00:42,540
+eighteen, plus eighteen, طيب ال divergence مقلوب
+
+16
+00:00:42,540 --> 00:00:47,820
+المسافة واحد على اتنين متر .. واحد على اتنين بيصير
+
+17
+00:00:47,820 --> 00:00:52,000
+نص و متر لما بطلع بيصير متر اصلا minus واحد يعني
+
+18
+00:00:52,000 --> 00:00:54,920
+ضايب تر يعني minus نص ضايب تر ال minus عشانه
+
+19
+00:00:54,920 --> 00:01:00,820
+divergence إذا الإجابة minus نص ضايب تر السؤال
+
+20
+00:01:00,820 --> 00:01:01,360
+اللي بعده
+
+21
+00:01:04,440 --> 00:01:08,840
+سؤال سهل جدا ال image ارتفاع ال image اربعين صنطي
+
+22
+00:01:08,840 --> 00:01:12,620
+تحت ال optical axis تحت ال optical axis اذا ال
+
+23
+00:01:12,620 --> 00:01:16,500
+image بتمتد او ارتفاعها تحت ال optical axis اربعين
+
+24
+00:01:16,500 --> 00:01:20,820
+صنطي ال transfers magnification minus نص minus
+
+25
+00:01:20,820 --> 00:01:23,560
+يعني هي مجلوبة الصورة نفسها مجلوبة ايه بما انها
+
+26
+00:01:23,560 --> 00:01:26,360
+تحت ال optical axis معناته ال object above the
+
+27
+00:01:26,360 --> 00:01:29,840
+optical axis اذا كلمة below و belowها دي هدول
+
+28
+00:01:29,840 --> 00:01:34,070
+إجابة الأولى و الرابعة not flowers, because as long
+
+29
+00:01:34,070 --> 00:01:37,090
+as the image is down, the object is up, why?
+
+30
+00:01:37,170 --> 00:01:39,210
+because the transfer is magnification with minus,
+
+31
+00:01:39,310 --> 00:01:41,650
+so the image is upside down and its position is
+
+32
+00:01:41,650 --> 00:01:45,490
+upside down with respect to the object and its
+
+33
+00:01:45,490 --> 00:01:48,110
+height is half the height of the object, but if
+
+34
+00:01:48,110 --> 00:01:52,170
+its height is 40 cm, then the object is 80 cm, so
+
+35
+00:01:52,170 --> 00:01:59,720
+80 cm above the optical axis next questionAn
+
+36
+00:01:59,720 --> 00:02:02,560
+object stands to the left of a single reflecting
+
+37
+00:02:02,560 --> 00:02:05,860
+surface with a radius of curvature R, the image
+
+38
+00:02:05,860 --> 00:02:08,100
+distance is mid-centimeter and the transverse
+
+39
+00:02:08,100 --> 00:02:12,240
+magnification is minus two. Find the object
+
+40
+00:02:12,240 --> 00:02:14,340
+distance and the radius of curvature.
+
+41
+00:02:23,640 --> 00:02:27,400
+وعندي image معلومة المسافة ال image معلومة المسافة
+
+42
+00:02:27,400 --> 00:02:31,680
+ال image على بعد 100
+
+43
+00:02:31,680 --> 00:02:37,400
+cm يعني واحد متر 100 cm تمام and the image
+
+44
+00:02:37,400 --> 00:02:41,980
+distance is 100 cm لtransfiguration magnification
+
+45
+00:02:41,980 --> 00:02:48,500
+minus 2 بنقول هذه المسافة عبارة عن واحد متر اللي
+
+46
+00:02:48,500 --> 00:02:51,420
+هى 100 عفوان 100
+
+47
+00:02:53,390 --> 00:02:57,990
+100 cm The
+
+48
+00:02:57,990 --> 00:03:00,790
+distance between the image and the surface of the
+
+49
+00:03:00,790 --> 00:03:04,270
+refracting surface is 100 cm We want to see what
+
+50
+00:03:04,270 --> 00:03:10,410
+is the object distance Transverse magnification
+
+51
+00:03:10,410 --> 00:03:13,270
+equals image distance
+
+52
+00:03:22,310 --> 00:03:29,590
+on object distance I
+
+53
+00:03:29,590 --> 00:03:38,530
+want object distance to be
+
+54
+00:03:38,530 --> 00:03:44,890
+equal to transference magnification to be equal
+
+55
+00:03:44,890 --> 00:03:48,470
+to image distance to transference magnification
+
+56
+00:03:56,370 --> 00:04:03,970
+and it's equal to image distance 1 meter over
+
+57
+00:04:03,970 --> 00:04:08,730
+transference magnification minus 2 and it's equal
+
+58
+00:04:08,730 --> 00:04:15,350
+to 1 over minus 2 which is minus half and the
+
+59
+00:04:15,350 --> 00:04:20,370
+meter is simply the same so the object is at minus
+
+60
+00:04:20,370 --> 00:04:26,660
+half meter the object is at minus half meter50 cm
+
+61
+00:04:26,660 --> 00:04:29,860
+to the left, the word minus means 50 cm to the
+
+62
+00:04:29,860 --> 00:04:37,140
+left, 50 cm to the left if
+
+63
+00:04:37,140 --> 00:04:39,480
+the object distance is minus half a meter, which
+
+64
+00:04:39,480 --> 00:04:42,340
+means 50 cm to the left, now we want to get the
+
+65
+00:04:42,340 --> 00:04:45,380
+radius of curvature, it is known that all the
+
+66
+00:04:45,380 --> 00:04:50,020
+problems in this exam, the n condition is one and
+
+67
+00:04:50,020 --> 00:04:53,720
+a half and the n is one, okay, we say negative n
+
+68
+00:04:53,720 --> 00:05:02,210
+to oplus the power which is unconditional minus n
+
+69
+00:05:02,210 --> 00:05:14,410
+over r equals unconditional over i minus
+
+70
+00:05:14,410 --> 00:05:21,790
+one over half
+
+71
+00:05:21,790 --> 00:05:22,130
+a meter
+
+72
+00:05:27,220 --> 00:05:35,740
+plus one and a half minus one over the unknown r
+
+73
+00:05:35,740 --> 00:05:42,620
+equals minus one over I minus one and a half over
+
+74
+00:05:42,620 --> 00:05:47,980
+I which is one meter minus
+
+75
+00:05:47,980 --> 00:05:51,600
+one over half is equal to minus two and the meter
+
+76
+00:05:51,600 --> 00:05:53,320
+in the place that comes out becomes the diopter
+
+77
+00:05:53,320 --> 00:05:57,310
+which is minus one plusone and a half minus one
+
+78
+00:05:57,310 --> 00:06:04,030
+remains as half over R unknown equals one and a
+
+79
+00:06:04,030 --> 00:06:07,590
+half over one which is one and a half and the
+
+80
+00:06:07,590 --> 00:06:15,370
+meter in the place appears as a diode half over R
+
+81
+00:06:15,370 --> 00:06:17,730
+equals
+
+82
+00:06:19,100 --> 00:06:21,840
+when I move minus two diopters to the other side
+
+83
+00:06:21,840 --> 00:06:25,640
+it becomes plus two diopters plus two diopters and
+
+84
+00:06:25,640 --> 00:06:27,680
+if I have one and a half diopters it means three
+
+85
+00:06:27,680 --> 00:06:34,620
+and a half diopters so
+
+86
+00:06:34,620 --> 00:06:37,540
+half over r is equal to three and a half diopters
+
+87
+00:06:37,540 --> 00:06:43,820
+so r I change it to three and a half r is equal to
+
+88
+00:06:43,820 --> 00:06:48,760
+half
+
+89
+00:06:51,670 --> 00:06:57,110
+on three and a half diopters if you want to know
+
+90
+00:06:57,110 --> 00:07:07,210
+how much it equals, go to the calculator say
+
+91
+00:07:07,210 --> 00:07:11,810
+half divided
+
+92
+00:07:11,810 --> 00:07:17,110
+by three and a half equals
+
+93
+00:07:19,190 --> 00:07:21,690
+one hundred or one thousand four hundred and
+
+94
+00:07:21,690 --> 00:07:24,310
+twenty-eight one thousand four hundred and twenty
+
+95
+00:07:24,310 --> 00:07:27,770
+-eight or let's use the nearest three numbers
+
+96
+00:07:27,770 --> 00:07:30,070
+twenty one hundred and forty-two thousand meters
+
+97
+00:07:30,070 --> 00:07:33,870
+one hundred and forty-two thousand meters one
+
+98
+00:07:33,870 --> 00:07:38,530
+hundred and forty-two thousand meters the diopter
+
+99
+00:07:38,530 --> 00:07:40,410
+in the building when it goes up becomes a meter
+
+100
+00:07:40,410 --> 00:07:45,650
+then it equals fourteen centimeters and two tenths
+
+101
+00:07:45,650 --> 00:07:48,090
+fourteen centimeters and two tenths
+
+102
+00:07:54,960 --> 00:08:02,280
+so r is 14.2 cm and the object is about minus half
+
+103
+00:08:02,280 --> 00:08:05,480
+a meter or half a meter on the left this is the
+
+104
+00:08:05,480 --> 00:08:09,820
+answer to the question let's see from among the
+
+105
+00:08:09,820 --> 00:08:15,340
+answers object
+
+106
+00:08:15,340 --> 00:08:24,380
+is half a meterThe radius is 14.2 cm You
+
+107
+00:08:24,380 --> 00:08:31,800
+can ask me why I put 1 meter and read 12.4 cm
+
+108
+00:08:31,800 --> 00:08:36,860
+instead of 14.2 cm So the correct answer is number
+
+109
+00:08:36,860 --> 00:08:41,520
+2 here
+
+110
+00:08:44,190 --> 00:08:46,610
+we have another question object is one meter to
+
+111
+00:08:46,610 --> 00:08:50,890
+the left of spherical refracting surface radius is
+
+112
+00:08:50,890 --> 00:08:54,230
+two out of ten meters where is damage and what is
+
+113
+00:08:54,230 --> 00:08:57,230
+the transverse magnification? there are drawings
+
+114
+00:08:57,230 --> 00:09:02,510
+that explain this issue radius is two out of ten
+
+115
+00:09:02,510 --> 00:09:07,970
+meters radius is two out of ten meters and the
+
+116
+00:09:07,970 --> 00:09:10,170
+object is one meter away and the object is one
+
+117
+00:09:10,170 --> 00:09:14,920
+meter awaythere is a drawing that I drew with this
+
+118
+00:09:14,920 --> 00:09:20,120
+meaning this is the object at a distance of one
+
+119
+00:09:20,120 --> 00:09:23,080
+meter and the radius is two tenths of a meter to
+
+120
+00:09:23,080 --> 00:09:26,780
+get the image we say minus n over o plus
+
+121
+00:09:26,780 --> 00:09:29,460
+unconditional minus n over r equals unconditional
+
+122
+00:09:29,460 --> 00:09:33,300
+over i minus one over o which is one meter plus
+
+123
+00:09:33,300 --> 00:09:36,080
+one and a half minus one we said unconditional in
+
+124
+00:09:36,080 --> 00:09:39,100
+every subject of the exam one and a half and n one
+
+125
+00:09:39,470 --> 00:09:42,270
+one and a half minus one over the radius which is
+
+126
+00:09:42,270 --> 00:09:44,410
+two out of ten meters is equal to one and a half
+
+127
+00:09:44,410 --> 00:09:47,750
+over I here minus one over one is equal to minus
+
+128
+00:09:47,750 --> 00:09:50,090
+one and the meter when it comes out becomes a
+
+129
+00:09:50,090 --> 00:09:54,130
+diopter plus one and a half minus one remains
+
+130
+00:09:54,130 --> 00:09:56,610
+half, the half when I divide by two out of ten
+
+131
+00:09:56,610 --> 00:09:59,490
+meters comes out two and a half diopter is equal
+
+132
+00:09:59,490 --> 00:10:04,480
+to one and a half over Iminus diopter plus two and
+
+133
+00:10:04,480 --> 00:10:06,480
+a half diopter gives me plus one and a half
+
+134
+00:10:06,480 --> 00:10:10,400
+diopter equals one and a half over I so I change
+
+135
+00:10:10,400 --> 00:10:13,420
+the place of one and a half diopter and one and a
+
+136
+00:10:13,420 --> 00:10:15,700
+half diopter changes the place of I so I equals
+
+137
+00:10:15,700 --> 00:10:19,040
+one and a half over plus one and a half diopter
+
+138
+00:10:19,040 --> 00:10:21,980
+one and a half over one and a half of course plus
+
+139
+00:10:21,980 --> 00:10:25,320
+on plus equals plus one and a half on one and a
+
+140
+00:10:25,320 --> 00:10:30,150
+half oneوالديوبتر لما بيطلع من المقام بيصير واحد
+
+141
+00:10:30,150 --> 00:10:35,350
+متر اذا الصورة على بعد واحد متر
+
+142
+00:10:35,350 --> 00:10:39,350
+ال transfer is magnificationit's supposed to be
+
+143
+00:10:39,350 --> 00:10:42,730
+one it's supposed to be minus one, excuse me minus
+
+144
+00:10:42,730 --> 00:10:46,890
+one so it should be one meter to the right of
+
+145
+00:10:46,890 --> 00:10:50,310
+refracting service and TM is equal to minus one
+
+146
+00:10:50,310 --> 00:10:54,250
+this is the correct answer why minus one? we say
+
+147
+00:10:54,250 --> 00:10:59,110
+as follows the body let's solve it with a better
+
+148
+00:10:59,110 --> 00:11:03,670
+book we
+
+149
+00:11:03,670 --> 00:11:07,530
+say TM is equal toimage distance over object
+
+150
+00:11:07,530 --> 00:11:12,710
+distance image distance plus one meter plus one
+
+151
+00:11:12,710 --> 00:11:18,010
+meter over the object distance minus one meter and
+
+152
+00:11:18,010 --> 00:11:23,810
+it equals x plus minus minus and one by one
+
+153
+00:11:23,810 --> 00:11:27,890
+remains one and meter by meter goes to x minus one
+
+154
+00:11:27,890 --> 00:11:30,690
+so the image is one meter away and the
+
+155
+00:11:30,690 --> 00:11:32,850
+magnification is minus one magnification is minus
+
+156
+00:11:32,850 --> 00:11:37,560
+one move on to the next questionThe critical angle
+
+157
+00:11:37,560 --> 00:11:42,160
+is, is the angle of incidence that gives an angle
+
+158
+00:11:42,160 --> 00:11:45,380
+of transmission which equals 90.
+
+159
+00:11:59,890 --> 00:12:03,950
+Okay, an optical system consisting of seven lenses
+
+160
+00:12:03,950 --> 00:12:08,310
+has how many degrees of freedom? كل لنز تلاتة، كل
+
+161
+00:12:08,310 --> 00:12:11,210
+لنز تلاتة، سطحة الأمامي و سطحة الخلفي و السمك
+
+162
+00:12:11,210 --> 00:12:15,290
+بتاعها، هدول بقدر أتحكم فيهم و أغيرهم طالما كل لنز
+
+163
+00:12:15,290 --> 00:12:19,560
+تلاتة، عندي سبعة لنز في تلاتة بواحد وعشرين7 lenses
+
+164
+00:12:19,560 --> 00:12:22,760
+have 21 degrees of freedom and I also have 6
+
+165
+00:12:22,760 --> 00:12:24,720
+degrees of freedom which are the distances between
+
+166
+00:12:24,720 --> 00:12:27,100
+the 7 lenses distance between the first lens and
+
+167
+00:12:27,100 --> 00:12:29,820
+the second lens I can control between the second
+
+168
+00:12:29,820 --> 00:12:31,120
+lens and the third lens between the third lens I
+
+169
+00:12:31,120 --> 00:12:34,760
+have 6 distances between the 7 lenses so I have 21
+
+170
+00:12:34,760 --> 00:12:39,620
+and I have 6 which means 27 is the correct answer
+
+171
+00:12:39,620 --> 00:12:42,660
+okay
+
+172
+00:12:45,350 --> 00:12:48,270
+for light travelling from a medium with lower
+
+173
+00:12:48,270 --> 00:12:51,850
+refractive index زي الهوى to a medium with higher
+
+174
+00:12:51,850 --> 00:12:56,230
+refractive index زي الميقى which is true فلنقرأ
+
+175
+00:12:56,230 --> 00:13:00,560
+the refracted ray gets fartherfrom the service
+
+176
+00:13:00,560 --> 00:13:01,000
+normal.
+
+177
+00:13:04,600 --> 00:13:11,080
+The transmitted ray does not change its direction
+
+178
+00:13:11,080 --> 00:13:17,560
+if the angle of incidence is equal to zero.Theta T
+
+179
+00:13:17,560 --> 00:13:20,060
+is greater than Theta I. No, when we move from air
+
+180
+00:13:20,060 --> 00:13:23,180
+to water, or from air to glass, or from medium to
+
+181
+00:13:23,180 --> 00:13:26,420
+less medium to higher medium, theta I is greater
+
+182
+00:13:26,420 --> 00:13:29,620
+than theta T Of course, not all choices are wrong,
+
+183
+00:13:29,680 --> 00:13:33,700
+because this choice is correct When the angle of
+
+184
+00:13:33,700 --> 00:13:39,400
+incidence is equal to zero, it does not change its
+
+185
+00:13:39,400 --> 00:13:39,940
+direction
+
+186
+00:13:43,450 --> 00:13:45,670
+What is the refractive power of a spherical
+
+187
+00:13:45,670 --> 00:13:48,490
+surface of a glass rod if the object was half a
+
+188
+00:13:48,490 --> 00:13:52,050
+meter distance to the left of the surface and the
+
+189
+00:13:52,050 --> 00:13:55,150
+image formed one meter right to the surface?
+
+190
+00:14:16,320 --> 00:14:21,580
+Okay, this is the drawing. We say... What is
+
+191
+00:14:21,580 --> 00:14:27,000
+required? We want refractive power of spherical
+
+192
+00:14:27,000 --> 00:14:27,660
+surface.
+
+193
+00:14:30,400 --> 00:14:37,220
+We say as follows...
+
+194
+00:14:37,220 --> 00:14:40,740
+All
+
+195
+00:14:40,740 --> 00:14:41,840
+these words will be cancelled.
+
+196
+00:14:45,190 --> 00:14:47,890
+let's say I have an object half a meter away from
+
+197
+00:14:47,890
+
+223
+00:17:19,300 --> 00:17:20,280
+.. the .. the .. the .. the .. the .. the .. the
+
+224
+00:17:20,280 --> 00:17:21,420
+.. the .. the .. the .. the .. the .. the .. the
+
+225
+00:17:21,420 --> 00:17:21,940
+.. the .. the .. the .. the .. the .. the .. the
+
+226
+00:17:21,940 --> 00:17:22,360
+.. the .. the .. the .. the .. the .. the .. the
+
+227
+00:17:22,360 --> 00:17:26,540
+.. the .. the .. the .. the .. the .. the .. the
+
+228
+00:17:26,540 --> 00:17:32,460
+.. the .. the .. the .. the .. the .. 
+
+229
+00:17:32,460 --> 00:17:35,180
+the .. the ..
+
+230
+00:17:48,040 --> 00:17:50,720
+fourteen or one hundred and forty two thousand
+
+231
+00:17:50,720 --> 00:17:51,200
+meters.
+
+232
+00:17:54,280 --> 00:17:57,540
+I still haven't got the power. Now I'm going to
+
+233
+00:17:57,540 --> 00:18:01,020
+get the power. The power of the refracting service 
+
+234
+00:18:01,020 --> 00:18:09,700
+is equal to N minus N divided by R.
+
+235
+00:18:16,570 --> 00:18:30,250
+It is equal to 1.5 minus 1 over R which is 142 out 
+
+236
+00:18:30,250 --> 00:18:35,390
+of 1000. It
+
+237
+00:18:35,390 --> 00:18:39,070
+is equal to
+
+238
+00:18:39,070 --> 00:18:51,020
+1.5 minus 1 which is half to 142,000 and it equals 
+
+239
+00:18:51,020 --> 00:18:58,220
+142
+
+240
+00:18:58,220 --> 00:19:02,820
+.000 meters from the meter because when it comes 
+
+241
+00:19:02,820 --> 00:19:08,420
+out, it becomes a power diopter. Let's 
+
+242
+00:19:08,420 --> 00:19:12,140
+go to the calculator to divide half by 142.000 
+
+243
+00:19:16,390 --> 00:19:20,550
+one and a half divided
+
+244
+00:19:20,550 --> 00:19:28,030
+by one hundred and forty two thousand is equal to
+
+245
+00:19:28,030 --> 00:19:30,350
+three and a half diopters. Three and a half
+
+246
+00:19:30,350 --> 00:19:36,890
+diopters approximately. Let's see the answers. Three
+
+247
+00:19:36,890 --> 00:19:40,710
+and 
+
+248
+00:19:40,710 --> 00:19:43,840
+a half diopters. The closest answer is three and a
+
+249
+00:19:43,840 --> 00:19:48,740
+half diopters. As we got the meaning here. The
+
+250
+00:19:48,740 --> 00:19:51,240
+closest answer is three and a half diopters. So we
+
+251
+00:19:51,240 --> 00:19:58,700
+go to the next question. Of 
+
+252
+00:19:58,700 --> 00:20:02,960
+course, the question has three marks, three marks
+
+253
+00:20:02,960 --> 00:20:06,560
+I
+
+254
+00:20:06,560 --> 00:20:10,300
+have 
+
+255
+00:20:10,300 --> 00:20:14,120
+a question. Where is the image if we know that 
+
+256
+00:20:14,120 --> 00:20:18,360
+object is 50 cm to the left of the lens and the
+
+257
+00:20:18,360 --> 00:20:22,920
+transphase magnification x minus 2 from 10. Okay.
+
+258
+00:20:22,920 --> 00:20:26,620
+This is a direct question. We say that the object 
+
+259
+00:20:26,620 --> 00:20:30,320
+is 50 cm away and the transphase magnification is 
+
+260
+00:20:30,320 --> 00:20:32,740
+x minus 2 from 10. We say that the transphase
+
+261
+00:20:32,740 --> 00:20:35,580
+magnification is the image distance over the
+
+262
+00:20:35,580 --> 00:20:38,400
+object distance. We repeat directly the transphase
+
+263
+00:20:38,400 --> 00:20:42,940
+magnification is minus 2 from 10. The image distance
+
+264
+00:20:42,940 --> 00:20:46,040
+is unknown and the object distance is less than 5 
+
+265
+00:20:46,040 --> 00:20:49,640
+meters. Why is it less than 5 meters? Because we 
+
+266
+00:20:49,640 --> 00:20:53,120
+are dealing with distances that are less than 5
+
+267
+00:20:53,120 --> 00:20:57,820
+meters. عشان أعرف ال image بضرب الاتنين في بعض، إذا 
+
+268
+00:20:57,820 --> 00:21:03,260
+ال image تساوي minus 2 من 10 في minus نص متر، ال 
+
+269
+00:21:03,260 --> 00:21:06,640
+minus في minus بيصير plus و ال 2 من 10 ضرب نص 
+
+270
+00:21:06,640 --> 00:21:11,120
+بيطلع 1 من 10 متر، إذا plus 1 من 10 متر على اليمين
+
+271
+00:21:11,120 --> 00:21:16,860
+يعني plus 10 cm، plus 10 cm، نشوف الإجابات، طبعا
+
+272
+00:21:16,860 --> 00:21:20,540
+10 cm to the right of the lens، 10 cm to the right 
+
+273
+00:21:20,540 --> 00:21:25,330
+of the lens، هذا هو الجواب الصحيح. In para-axial
+
+274
+00:21:25,330 --> 00:21:27,390
+regions, the surface of spherical refracting
+
+275
+00:21:27,390 --> 00:21:30,250
+surfaces can be considered flat.
+
+276
+00:21:32,210 --> 00:21:36,110
+The more
+
+277
+00:21:36,110 --> 00:21:38,710
+the difference in refractive indices between the
+
+278
+00:21:38,710 --> 00:21:39,350
+two media,
+
+279
+00:21:48,650 --> 00:21:53,230
+كل مكان more كل مكانة الـ small critical angle. 
+
+280
+00:21:53,270 --> 00:21:55,390
+The smaller the critical angle.
+
+281
+00:22:00,910 --> 00:22:06,070
+طيب. An object 20 cm to the left of a thin lens in 
+
+282
+00:22:06,070 --> 00:22:09,550
+air, the image is formed to the right of the lens
+
+283
+00:22:09,550 --> 00:22:12,750
+at a distance of 20 cm. What is the power of the 
+
+284
+00:22:12,750 --> 00:22:14,990
+lens? هذا سؤال أيضا رسمناه. 
+
+285
+00:22:17,710 --> 00:22:21,230
+The object is 20 cm to the left and the image is
+
+286
+00:22:21,230 --> 00:22:26,130
+20 cm to the right. What is the power of the lens?
+
+287
+00:22:26,570 --> 00:22:29,390
+We say negative n over o plus p is equal to 
+
+288
+00:22:29,390 --> 00:22:32,470
+uncertainty over i. Thin lens equation. Negative
+
+289
+00:22:32,470 --> 00:22:35,870
+one over two of ten meters plus the power is equal 
+
+290
+00:22:35,870 --> 00:22:41,050
+to one over two of ten meters. Notice herethe
+
+291
+00:22:41,050 --> 00:22:45,550
+distance or the divergent ray, divergent ray, I 
+
+292
+00:22:45,550 --> 00:22:49,090
+give it minus, or even in distances, this distance 
+
+293
+00:22:49,090 --> 00:22:51,210
+on the left I give it minus, here the distance on
+
+294
+00:22:51,210 --> 00:22:55,830
+the right I give it plus. Okay, so minus one out of 
+
+295
+00:22:55,830 --> 00:22:58,690
+two out of ten, minus five, and the meter turns
+
+296
+00:22:58,690 --> 00:23:02,190
+out to be minus five diopter plus power here it's
+
+297
+00:23:02,190 --> 00:23:04,270
+the same thing but the sign is plus one and two
+
+298
+00:23:04,270 --> 00:23:06,470
+from ten is five and the meter turns out to be one
+
+299
+00:23:06,470 --> 00:23:09,570
+minus one which is the diopter so minus five 
+
+300
+00:23:09,570 --> 00:23:13,070
+diopters plus the power equals five diopters or 
+
+301
+00:23:13,070 --> 00:23:16,150
+plus five diopters when I subtract minus five from
+
+302
+00:23:16,150 --> 00:23:18,950
+the other side and it becomes plus five plus five
+
+303
+00:23:18,950 --> 00:23:22,730
+with plus five so the power is plus ten diopters 
+
+304
+00:23:22,730 --> 00:23:26,270
+so the power is plus ten diopters and this is the 
+
+305
+00:23:26,270 --> 00:23:26,870
+correct answer.
+
+306
+00:23:31,420 --> 00:23:34,560
+What is the transphase magnification if we know 
+
+307
+00:23:34,560 --> 00:23:38,640
+that the object is 50 cm to the left of a lens and 
+
+308
+00:23:38,640 --> 00:23:42,080
+the image is 20 cm to the right of the lens?
+
+309
+00:23:54,300 --> 00:23:56,560
+Transfers magnification is equal to image distance 
+
+310
+00:23:56,560 --> 00:24:00,020
+over object distance, the image distance is plus 2
+
+311
+00:24:00,020 --> 00:24:02,840
+out of 10 meters, the object distance is minus
+
+312
+00:24:02,840 --> 00:24:05,420
+half a meter, plus 2 out of 10 meters is plus 20 
+
+313
+00:24:05,420 --> 00:24:08,440
+centimeters, and here minus 50 centimeters, so the 
+
+314
+00:24:08,440 --> 00:24:13,360
+answer is x minus 4 out of 10, x minus 4 out of 10
+
+315
+00:24:13,360 --> 00:24:18,880
+is the correct answer. In an optical medium, the 
+
+316
+00:24:18,880 --> 00:24:21,860
+longer the wavelength of light passing through it, 
+
+317
+00:24:22,140 --> 00:24:25,660
+the lower the refractive index of that medium for 
+
+318
+00:24:25,660 --> 00:24:26,660
+that wavelength. 
+
+319
+00:24:48,660 --> 00:24:51,440
+An object stands 0.5 meters to the left of a
+
+320
+00:24:51,440 --> 00:24:55,660
+single refracting surface with R 5 cm and for air 
+
+321
+00:24:55,660 --> 00:24:58,380
+of course 1 and for glass 1.5 meters. Where is the 
+
+322
+00:24:58,380 --> 00:25:02,420
+image and what is transphase magnification? So the
+
+323
+00:25:02,420 --> 00:25:04,960
+object is about 0.5 meters away and the radius is
+
+324
+00:25:04,960 --> 00:25:06,000
+5 cm. 
+
+325
+00:25:20,660 --> 00:25:24,000
+single refractive, the radius is 5. What is required 
+
+326
+00:25:24,000 --> 00:25:27,000
+is the image and the transference magnification.
+
+327
+00:25:27,100 --> 00:25:30,980
+We say negative n over O plus negative n over R is
+
+328
+00:25:30,980 --> 00:25:34,180
+equal to negative n over I minus one over half a 
+
+329
+00:25:34,180 --> 00:25:35,900
+meter which is the distance of the object which is 
+
+330
+00:25:35,900 --> 00:25:39,340
+O plus one and a half minus one which is negative
+
+331
+00:25:39,340 --> 00:25:43,140
+n over R which is five centimeters. Note that five
+
+332
+00:25:43,140 --> 00:25:45,300
+centimeters is not half a meter. Fifty centimeters 
+
+333
+00:25:45,300 --> 00:25:47,160
+is half a meter. Five centimeters is five out of 
+
+334
+00:25:47,160 --> 00:25:49,640
+one hundred meters. It is equal to negative n over 
+
+335
+00:25:49,640 --> 00:25:51,260
+I which is negative one and a half over the 
+
+336
+00:25:51,260 --> 00:25:54,980
+unknown I. minus 1 over half becomes minus 2 and 
+
+337
+00:25:54,980 --> 00:25:58,840
+the meter becomes diopter when it goes up plus 1 
+
+338
+00:25:58,840 --> 00:26:02,040
+and a half minus 1 is half the half when I 
+
+339
+00:26:02,040 --> 00:26:05,240
+multiply by 5 from 100 it becomes 10 and the meter 
+
+340
+00:26:05,240 --> 00:26:09,060
+becomes diopter so minus 2 diopter plus 10 diopter 
+
+341
+00:26:09,060 --> 00:26:12,180
+equals 1 and a half over I goes down as it is 
+
+342
+00:26:12,180 --> 00:26:16,380
+minus 2 and plus 10 remains plus 8 diopter equals 
+
+343
+00:26:16,380 --> 00:26:21,000
+1 and a half over I. إذن I تساوي واحد و نص على 
+
+344
+00:26:21,000 --> 00:26:26,060
+تمانية ديوبتر و يساوي مية أو الف و تمانية و خمسة و
+
+345
+00:26:26,060 --> 00:26:28,700
+سبعين، ممكن نقول مية و سبعة و تمانين من الف من
+
+346
+00:26:28,700 --> 00:26:31,940
+المتر، يعني تمانتاشر صانتي و تلت تربع، تمانتاشر 
+
+347
+00:26:31,940 --> 00:26:35,760
+صانتي و تلت تربع على اليمين لإنها طلعت بالإبلاس
+
+348
+00:26:36,750 --> 00:26:39,330
+Transphase Magnification Image Distance by Object 
+
+349
+00:26:39,330 --> 00:26:42,790
+Distance. Now there is a point that the image 
+
+350
+00:26:42,790 --> 00:26:47,170
+distance is 18.75 meters and the object distance 
+
+351
+00:26:47,170 --> 00:26:49,370
+is half a meter, but we agreed that it should be 
+
+352
+00:26:49,370 --> 00:26:54,110
+measured from the radius of curvature. 5 cm will be
+
+353
+00:26:54,110 --> 00:26:56,270
+added to the distance of the object and will be 
+
+354
+00:26:56,270 --> 00:26:59,650
+subtracted from the distance of the image when I
+
+355
+00:26:59,650 --> 00:27:01,170
+subtract from the distance of the image which is
+
+356
+00:27:01,170 --> 00:27:05,770
+18 and three quarters 5 cm will subtract 13.75 cm
+
+357
+00:27:05,770 --> 00:27:09,470
+from 100 cm when I add to the half meter 5 cm will
+
+358
+00:27:09,470 --> 00:27:13,370
+become 55 cm so the transfer magnification is
+
+359
+00:27:13,370 --> 00:27:17,710
+equal to 13.75 cm which is the distance of the 
+
+360
+00:27:17,710 --> 00:27:22,790
+image from the center of curvature to minus 55 
+
+361
+00:27:22,790 --> 00:27:25,030
+because it is on the left which is equal to x
+
+362
+00:27:25,030 --> 00:27:27,670
+minus quarter which is equal to x minus quarter so 
+
+363
+00:27:27,670 --> 00:27:30,510
+the image distance from the surface of the
+
+364
+00:27:30,510 --> 00:27:34,660
+refracting surface is 18.75 cmand the transference
+
+365
+00:27:34,660 --> 00:27:37,860
+magnification is x minus a quarter, x minus a
+
+366
+00:27:37,860 --> 00:27:40,100
+quarter, so eighteen and three quarters 
+
+367
+00:27:40,100 --> 00:27:42,540
+centimeters and the transference magnification is
+
+368
+00:27:42,540 --> 00:27:46,180
+x minus a quarter. By mistake in the program, the 
+
+369
+00:27:46,180 --> 00:27:48,560
+answer was set to eighteen and three quarters
+
+370
+00:27:48,560 --> 00:27:50,440
+centimeters
+
+371
+00:27:51,610 --> 00:27:54,850
+Eighteen and three quarters of an inch, here,
+
+372
+00:27:54,950 --> 00:27:57,250
+eighteen and three quarters of an inch and the 
+
+373
+00:27:57,250 --> 00:27:59,370
+transference magnification minus four is this 
+
+374
+00:27:59,370 --> 00:28:01,990
+error that was modified, so that's why some
+
+375
+00:28:01,990 --> 00:28:04,710
+students found that the mark went down because 
+
+376
+00:28:04,710 --> 00:28:07,210
+they had solved the error and considered that it
+
+377
+00:28:07,210 --> 00:28:10,550
+was a correct answer, this is the correct answer,
+
+378
+00:28:10,670 --> 00:28:13,370
+this is the correct answer, let's move to the next 
+
+379
+00:28:13,370 --> 00:28:19,960
+question. This question is very easy, the smaller
+
+380
+00:28:19,960 --> 00:28:22,880
+the radius of curvature, the more power you have.
+
+381
+00:28:22,920 --> 00:28:25,300
+This is the most powerful, this is the most 
+
+382
+00:28:25,300 --> 00:28:27,600
+powerful, this is the most powerful, this is the 
+
+383
+00:28:27,600 --> 00:28:27,920
+most powerful, this is the most powerful, this is
+
+384
+00:28:27,920 --> 00:28:27,980
+powerful, this is the most powerful, this is the 
+
+385
+00:28:27,980 --> 00:28:29,280
+the most powerful, this is the most powerful, this
+
+386
+00:28:29,280 --> 00:28:29,320
+is the most powerful, this is the most powerful, 
+
+387
+00:28:29,320 --> 00:28:29,660
+this is the most powerful, this is the most 
+
+388
+00:28:29,660 --> 00:28:29,860
+most powerful, this is the most powerful, this is 
+
+389
+00:28:29,860 --> 00:28:31,180
+the most powerful, this is the most powerful, this
+
+390
+00:28:31,180 --> 00:28:32,140
+is the most powerful, this is the most powerful, 
+
+391
+00:28:32,140 --> 00:28:33,880
+this is the most powerful, this is the most 
+
+392
+00:28:33,880 --> 00:28:35,040
+powerful, this is the most powerful, this is the 
+
+393
+00:28:35,040 --> 00:28:37,140
+most powerful, this is the most powerful, this is 
+
+394
+00:28:37,140 --> 00:28:40,640
+the most powerful, this is the most powerful, this
+
+395
+00:28:43,990 --> 00:28:47,750
+refractive error means a mistake in any of the 
+
+396
+00:28:47,750 --> 00:28:51,670
+image characteristics in the location. Here we 
+
+397
+00:28:51,670 --> 00:28:57,610
+finished the first version, let's go to the second
+
+398
+00:28:57,610 --> 00:29:03,610
+version. Let's go to the second version. Let's see 
+
+399
+00:29:03,610 --> 00:29:05,910
+what it has, it has similar questions, but there 
+
+400
+00:29:05,910 --> 00:29:07,350
+are some differences. 
+
+401
+00:29:11,990 --> 00:29:14,470
+We will start with the first question. 
+
+402
+00:29:17,450 --> 00:29:21,150
+The critical angle is the angle of incidence that 
+
+403
+00:29:21,150 --> 00:29:23,810
+gives an angle of transmission which equals 90
+
+404
+00:29:23,810 --> 00:29:24,870
+degrees. The question was asked in the first 
+
+405
+00:29:24,870 --> 00:29:29,890
+version. If the image is 40 cm, also mark 80 cm
+
+406
+00:29:29,890 --> 00:29:33,150
+above the optical axis. Mark in the same 
+
+407
+00:29:33,150 --> 00:29:36,350
+recording. Whoever wants to go back can go back.
+
+408
+00:29:40,410 --> 00:29:48,730
+هنا أيضا ..هنا أيضا مر The 
+
+409
+00:29:48,730 --> 00:29:51,870
+higher 
+
+410
+00:29:51,870
+
+445
+00:32:31,170 --> 00:32:34,030
+The longer the wavelength of light, the lower the 
+
+446
+00:32:34,030 --> 00:32:34,890
+refractive index.
+
+447
+00:32:44,370 --> 00:32:47,450
+Light exiting a high-index medium to air is 
+
+448
+00:32:47,450 --> 00:32:50,910
+bent toward the surface normal.  لأ away from the 
+
+449
+00:32:50,910 --> 00:32:54,470
+surface normal. لما بنتقل من high exiting يعني خارج 
+
+450
+00:32:54,470 --> 00:32:57,770
+من high-index medium to air يعني air to lower 
+
+451
+00:32:57,770 --> 00:33:01,810
+-index medium.  فبالتالي هيروح away from مش toward 
+
+452
+00:33:01,810 --> 00:33:07,310
+the surface normal. إذا الإجابة خاطئة
+
+453
+00:33:07,310 --> 00:33:11,350
+Larger pinhole gives dimmer. خطأ ال smaller pinhole 
+
+454
+00:33:11,350 --> 00:33:13,410
+gives dimmer image.
+
+455
+00:33:16,820 --> 00:33:20,340
+Images are imperfect facsimiles, not exact scaled
+
+456
+00:33:20,340 --> 00:33:22,340
+duplicates of the original object.
+
+457
+00:33:29,320 --> 00:33:32,060
+Total internal reflection occurs when light 
+
+458
+00:33:32,060 --> 00:33:35,360
+travels from a medium with lower refractive index
+
+459
+00:33:35,360 --> 00:33:37,340
+to a medium with higher refractive index.
+
+460
+00:33:52,770 --> 00:33:56,450
+from higher to lower.  If I find from lower to
+
+461
+00:33:56,450 --> 00:33:58,310
+higher, I will not complete the example.  Total 
+
+462
+00:33:58,310 --> 00:34:01,470
+internal reflection is impossible to occur if the
+
+463
+00:34:01,470 --> 00:34:04,630
+light moves from a lower refractive index medium
+
+464
+00:34:04,630 --> 00:34:08,970
+to a medium with a higher refractive index.
+
+465
+00:34:32,470 --> 00:34:36,550
+The more difference in refractive indices between
+
+466
+00:34:36,550 --> 00:34:39,150
+the two media, the smaller the critical angle.
+
+467
+00:34:42,640 --> 00:34:45,180
+The image for the diaphanous system is the 
+
+468
+00:34:45,180 --> 00:34:49,320
+spatial summation of point spread functions for 
+
+469
+00:34:49,320 --> 00:34:50,400
+every object point.
+
+470
+00:34:59,270 --> 00:35:02,550
+Single refracting surface with R equal quarter
+
+471
+00:35:02,550 --> 00:35:05,270
+meter and the object is met centimeter to the 
+
+472
+00:35:05,270 --> 00:35:09,670
+left of this service is a radius quarter meter and
+
+473
+00:35:09,670 --> 00:35:12,550
+the object is one meter away.  Where is the image?
+
+474
+00:35:12,890 --> 00:35:15,390
+Only the image is required. Let's see the drawing 
+
+475
+00:35:16,530 --> 00:35:18,930
+which explains this situation.  This is the 
+
+476
+00:35:18,930 --> 00:35:22,690
+drawing, we say 1 meter and R is quarter meter 
+
+477
+00:35:22,690 --> 00:35:25,590
+which is 25 centimeters, we say negative N over O 
+
+478
+00:35:25,590 --> 00:35:28,750
+plus negative N minus N over R is equal to 
+
+479
+00:35:28,750 --> 00:35:32,470
+negative N minus I minus 1 over 1 meter which is 
+
+480
+00:35:32,470 --> 00:35:35,000
+the distance of the object plus one and a half
+
+481
+00:35:35,000 --> 00:35:37,220
+minus one over a quarter of a meter which is the 
+
+482
+00:35:37,220 --> 00:35:40,720
+radius which is one and a half minus one over a 
+
+483
+00:35:40,720 --> 00:35:40,760
+quarter of a meter which is the radius which is
+
+484
+00:35:40,760 --> 00:35:41,820
+one and a half minus one over a quarter of a meter
+
+485
+00:35:41,820 --> 00:35:43,340
+which is the radius which is one and a half minus
+
+486
+00:35:43,340 --> 00:35:44,800
+one over a quarter of a meter which is one and a
+
+487
+00:35:44,800 --> 00:35:44,840
+half minus one over a quarter of a meter which is
+
+488
+00:35:44,840 --> 00:35:45,680
+one and a half minus one over a quarter of a meter 
+
+489
+00:35:45,680 --> 00:35:46,660
+which is one and a half minus one over a quarter
+
+490
+00:35:46,660 --> 00:35:49,860
+of a meter which is one and a half minus one over
+
+491
+00:35:49,860 --> 00:35:51,080
+a quarter of a meter which is one and a half minus
+
+492
+00:35:51,080 --> 00:35:56,540
+one over a quarter of a meter which is one and 
+
+493
+00:35:56,540 --> 00:35:58,900
+a half minus one over a quarter of a meter which
+
+494
+00:35:58,900 --> 00:36:01,680
+is one and a half minus one over a quarter of a 
+
+495
+00:36:01,680 --> 00:36:03,820
+meter which is one and a half minus one over a 
+
+496
+00:36:03,820 --> 00:36:06,020
+which is one and So I change the place of one
+
+497
+00:36:06,020 --> 00:36:08,800
+diopter to become I equals one and a half to plus
+
+498
+00:36:08,800 --> 00:36:12,080
+one diopter, one and a half to one becomes plus
+
+499
+00:36:12,080 --> 00:36:14,980
+one and a half, and the diopter becomes a meter.
+
+500
+00:36:15,300 --> 00:36:17,740
+So plus one and a half meters, then on the right 
+
+501
+00:36:17,740 --> 00:36:19,740
+of the refracting surface with a quantity of one
+
+502
+00:36:19,740 --> 00:36:23,400
+and a half meters is the correct answer.  So plus 
+
+503
+00:36:23,400 --> 00:36:26,780
+one and a half meters.  Plus one and a half meters.
+
+504
+00:36:28,560 --> 00:36:34,430
+See the next question.  Okay. An object stands one
+
+505
+00:36:34,430 --> 00:36:37,270
+meter to the left of a thin lens in air.  The power 
+
+506
+00:36:37,270 --> 00:36:40,190
+is plus 5.  Where is the image and what is the
+
+507
+00:36:40,190 --> 00:36:43,010
+transverse magnification?  Let's see the picture
+
+508
+00:36:43,010 --> 00:36:45,710
+that shows this example.
+
+509
+00:36:52,710 --> 00:36:53,230
+Okay.
+
+510
+00:36:58,010 --> 00:37:00,650
+We don't have a picture.  Let's make a picture, God 
+
+511
+00:37:00,650 --> 00:37:09,270
+willing.  To solve this problem
+
+512
+00:37:09,270 --> 00:37:18,310
+I have the optical axis and 
+
+513
+00:37:18,310 --> 00:37:24,050
+here I have the lens. The 
+
+514
+00:37:24,050 --> 00:37:27,130
+lens has 5 diopters, plus 5 diopters.
+
+515
+00:37:36,910 --> 00:37:43,710
+and the object on the rod let's 
+
+516
+00:37:43,710 --> 00:37:48,470
+go back to the object and say one meter, one meter.
+
+517
+00:37:48,470 --> 00:37:59,110
+Okay, so the distance of the object is one meter.  We 
+
+518
+00:37:59,110 --> 00:38:01,650
+want to calculate where is the image. 
+
+519
+00:38:11,410 --> 00:38:18,810
+And the transverse magnification we 
+
+520
+00:38:18,810 --> 00:38:26,330
+say u is equal to minus n by o is 
+
+521
+00:38:26,330 --> 00:38:34,950
+equal to minus one by one meter is equal to minus
+
+522
+00:38:34,950 --> 00:38:41,500
+one diopter.  Quickly I put that the light will
+
+523
+00:38:41,500 --> 00:38:44,320
+reach a wavelength of minus one diopter.  This will
+
+524
+00:38:44,320 --> 00:38:50,100
+be placed on the front surface of the lens, the 
+
+525
+00:38:50,100 --> 00:38:52,980
+light will reach a wavelength of one diopter.  We 
+
+526
+00:38:52,980 --> 00:38:54,380
+will see how much light will come out of the lens
+
+527
+00:38:54,380 --> 00:39:04,100
+by wavelength, we say u plus p equals v. 
+
+528
+00:39:05,910 --> 00:39:13,730
+U minus 1 diopter plus power, a 5 diopter, is equal to V,
+
+529
+00:39:14,410 --> 00:39:20,390
+so V is equal to plus 4 diopter, plus 4 diopter,
+
+530
+00:39:21,470 --> 00:39:25,230
+so the light will come out in a fluctuation, in a 
+
+531
+00:39:25,230 --> 00:39:26,510
+fluctuation of the amount A
+
+532
+00:39:32,980 --> 00:39:36,820
+plus 4 diopter means that I am plural in the case
+
+533
+00:39:36,820 --> 00:39:39,220
+of apostrophe. I am plural because plus, the virgin 
+
+534
+00:39:39,220 --> 00:39:42,440
+is plus as long as I am plural, it will form a 
+
+535
+00:39:42,440 --> 00:39:45,900
+real picture in whatever space we want to see
+
+536
+00:39:45,900 --> 00:39:48,520
+where this picture is, let's say v equals 
+
+537
+00:39:48,520 --> 00:39:55,600
+unconditional on i, then 
+
+538
+00:39:55,600 --> 00:39:57,100
+i equals
+
+539
+00:40:04,370 --> 00:40:08,510
+I equals condition
+
+540
+00:40:08,510 --> 00:40:12,670
+on V which
+
+541
+00:40:12,670 --> 00:40:16,890
+equals condition which is one because we are in 
+
+542
+00:40:16,890 --> 00:40:20,050
+the air on V which is plus four which is greater
+
+543
+00:40:20,050 --> 00:40:23,550
+which 
+
+544
+00:40:23,550 --> 00:40:27,530
+equals one over plus four, plus quarter 
+
+545
+00:40:37,330 --> 00:40:40,610
+Image distance on the right side of the lens 
+
+546
+00:40:40,610 --> 00:40:44,110
+Transverse
+
+547
+00:40:44,110 --> 00:40:49,270
+magnification is equal to U over V or image
+
+548
+00:40:49,270 --> 00:40:50,870
+distance over object distance
+
+549
+00:40:58,710 --> 00:41:06,530
+imageDistance over objectDistance is
+
+550
+00:41:06,530 --> 00:41:17,650
+equal to imageDistance plus quarter meter over 
+
+551
+00:41:17,650 --> 00:41:22,130
+objectDistance minus one meter. Why minus? Because
+
+552
+00:41:22,130 --> 00:41:26,690
+the object is on the left.  Plus over minus gives me
+
+553
+00:41:26,690 --> 00:41:32,730
+minus, so x minus, and a quarter over one remains 
+
+554
+00:41:32,730 --> 00:41:35,270
+a quarter.  Anything divided by one remains as it
+
+555
+00:41:35,270 --> 00:41:39,750
+is, so minus a quarter.  Minus a quarter, excuse 
+
+556
+00:41:39,750 --> 00:41:47,490
+me, a quarter, x minus a quarter, this is the 
+
+557
+00:41:47,490 --> 00:41:50,850
+transverse magnification in this problem.
+
+558
+00:42:06,650 --> 00:42:09,570
+to the right of the lens which transfers
+
+559
+00:42:09,570 --> 00:42:11,550
+magnification x minus quarter. 
+
+560
+00:42:15,720 --> 00:42:18,040
+Total internal reflection occurs when light 
+
+561
+00:42:18,040 --> 00:42:21,500
+travels from a medium with higher refractive index 
+
+562
+00:42:21,500 --> 00:42:24,900
+to a medium with lower refractive index, if the 
+
+563
+00:42:24,900 --> 00:42:27,640
+incidence angle is more than the critical angle.
+
+564
+00:42:33,420 --> 00:42:38,200
+طيب أخر سؤال مر علينا optical system سبعة عدسات
+
+565
+00:42:38,200 --> 00:42:42,040
+كام degrees of freedom سبعة وعشرين و هيك بنكون 
+
+566
+00:42:42,040 --> 00:42:46,120
+احنا حلنا أسئلة النسختين و يعطيكم العافية والسلام 
+
+567
+00:42:46,120 --> 00:42:48,420
+عليكم ورحمة الله وبركاته 
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/SNwhZDaqSxM.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/SNwhZDaqSxM.srt
new file mode 100644
index 0000000000000000000000000000000000000000..dcc4c5a484dd02d0a0d8d337fc9bd6c25497dc09
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/SNwhZDaqSxM.srt
@@ -0,0 +1,143 @@
+1
+00:00:03,740 --> 00:00:09,020
+بسم الله الرحمن الرحيم اليوم هنحكي عن ال angular
+
+2
+00:00:09,020 --> 00:00:13,100
+magnification نقول find angular magnification for
+
+3
+00:00:13,100 --> 00:00:18,100
+the following magnifiers if viewing distance is 25
+
+4
+00:00:18,100 --> 00:00:21,820
+cm ال viewing distance مسافة الرؤية اللي بستعمل
+
+5
+00:00:21,820 --> 00:00:25,160
+فيها ال magnifier 25 cm يعني ال object بدي بعيد عن
+
+6
+00:00:25,160 --> 00:00:29,960
+عيني ربع متر و بدي أحط مرة plus 20 And again I put
+
+7
+00:00:29,960 --> 00:00:33,740
+plus 28 How much angular magnification happens
+
+8
+00:00:33,740 --> 00:00:36,440
+with me? As long as the distance of vision is a
+
+9
+00:00:36,440 --> 00:00:39,000
+quarter of a meter, then I want to divide by 4 The
+
+10
+00:00:39,000 --> 00:00:42,700
+equation of angular magnification which is M which
+
+11
+00:00:42,700 --> 00:00:45,280
+is the angular magnification equals the power of
+
+12
+00:00:45,280 --> 00:00:48,540
+the magnifier which is 20 diopters divided by 4
+
+13
+00:00:48,540 --> 00:00:54,000
+and equals the power plus 20 divided by 4 and
+
+14
+00:00:54,000 --> 00:01:00,990
+equals x5X5 يعني هيصير يعمل زاوية معيني خمس أضعاف
+
+15
+00:01:00,990 --> 00:01:04,750
+الزاوية اللي كان يعملها ال object نفسه قبل ما
+
+16
+00:01:04,750 --> 00:01:09,010
+أستعمل ال magnifier لو أنا كنت بتطلع على شمعة و
+
+17
+00:01:09,010 --> 00:01:13,330
+هاد الشمعة من قمتها لأسفل هتعمل معيني زاوية عشرة
+
+18
+00:01:13,330 --> 00:01:17,970
+degree و حطيت هذا ال magnifier هتصير تعمل خمسين
+
+19
+00:01:17,970 --> 00:01:22,290
+degree بدل العشرة degree يعني بمعنى هتكبر أو يضعف
+
+20
+00:01:22,290 --> 00:01:26,370
+الزاوية اللي بتعملها معيني خمس أضعاف Now for the
+
+21
+00:01:26,370 --> 00:01:30,190
+other magnifier, we want to see the angular
+
+22
+00:01:30,190 --> 00:01:31,670
+magnification, which is the same as the distance
+
+23
+00:01:31,670 --> 00:01:33,490
+of vision, which is a quarter of a meter, then the
+
+24
+00:01:33,490 --> 00:01:39,610
+power over four is equal to28 divided by 4 is
+
+25
+00:01:39,610 --> 00:01:45,210
+equal to x7 So this magnifier amplifies the angle
+
+26
+00:01:45,210 --> 00:01:48,790
+of the object that I'm looking at Of course it
+
+27
+00:01:48,790 --> 00:01:50,670
+amplifies the angle when I put it in front of my
+
+28
+00:01:50,670 --> 00:01:54,230
+eye, it amplifies it 7 times So if the candle or
+
+29
+00:01:54,230 --> 00:01:59,690
+the object that I'm looking at is 25 cm away from
+
+30
+00:01:59,690 --> 00:02:04,410
+me بيعمل زاوية مع عيني 10 degree إذا لما بحط هذا ال
+
+31
+00:02:04,410 --> 00:02:08,530
+magnifier أمام عيني بيصير بدل 10 degree 70 degree
+
+32
+00:02:08,530 --> 00:02:12,690
+يعني 7 أضعاف ال angular height ال angular height
+
+33
+00:02:12,690 --> 00:02:15,930
+إذا هذا بيكبر 5 مرات angular magnification و هذا
+
+34
+00:02:15,930 --> 00:02:19,910
+بيكبر 7 مرات angular magnification و هيك بيكون
+
+35
+00:02:19,910 --> 00:02:22,870
+الحل انتهى و يعطيكم العافية و السلام عليكم و رحمة
+
+36
+00:02:22,870 --> 00:02:24,230
+الله وبركاته 
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/T12yPtB_D3A.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/T12yPtB_D3A.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c3f334a2f3e0a76d60da180c31109e21ccf3fb1c
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/T12yPtB_D3A.srt
@@ -0,0 +1,872 @@
+
+1
+00:00:01,550 --> 00:00:06,090
+بسم الله الرحمن الرحيم بنتواصل مع محاضرات ال
+
+2
+00:00:06,090 --> 00:00:10,050
+geometric optics واتوقفنا المرة الماضية عند depth
+
+3
+00:00:10,050 --> 00:00:17,070
+of focus أو عمق البقرة perform the basic imaging
+
+4
+00:00:17,070 --> 00:00:19,910
+demonstration with a lens as described before
+
+5
+00:00:19,910 --> 00:00:24,680
+imaging with lenses and mirrors And notice that if
+
+6
+00:00:24,680 --> 00:00:28,900
+the paper is moved forward or backward within a
+
+7
+00:00:28,900 --> 00:00:32,880
+range of a few millimeters, the image remains
+
+8
+00:00:32,880 --> 00:00:36,740
+relatively focused. With the paper positioned
+
+9
+00:00:36,740 --> 00:00:40,280
+outside this region, the image appears blurred.
+
+10
+00:00:40,870 --> 00:00:49,890
+بمعنى هنعيد التجربة بتاعة الشامعة و العدسة و نتلقى
+
+11
+00:00:49,890 --> 00:00:54,790
+صورة للشامعة على ورقة التلقى او ال A4 هنلاقي
+
+12
+00:00:54,790 --> 00:01:00,230
+الصورة انها اتكونت في مكان ما من الفراخ خلف العدسة
+
+13
+00:01:00,230 --> 00:01:08,920
+و الصورة واضحة جدا, focused لو حركنا ورقة التلقي
+
+14
+00:01:08,920 --> 00:01:14,180
+إلى الأمام قليلا أو إلى الخلف قليلا، هنلاحظ أن
+
+15
+00:01:14,180 --> 00:01:19,620
+الصورة لازالة واضحة، ل range معين، لو حركنا ورقة
+
+16
+00:01:19,620 --> 00:01:23,700
+التلقي للأمام كتير أو للخلف كتير، هتصير الصورة
+
+17
+00:01:23,700 --> 00:01:32,380
+مربشة، هذا الكلام بدنا نحاول نشوفه
+
+18
+00:01:32,380 --> 00:01:38,870
+على الصورة it will be better let's go back to the
+
+19
+00:01:38,870 --> 00:01:45,550
+experiment in 
+
+20
+00:01:45,550 --> 00:01:51,510
+other words, the receipt paper is
+
+21
+00:01:51,510 --> 00:01:56,090
+in this area, the picture is clear now if we
+
+22
+00:01:56,090 --> 00:02:00,650
+provide the receipt paper simple millimeters to the
+
+23
+00:02:00,650 --> 00:02:03,950
+front or we delayed it by simple millimeters to
+
+24
+00:02:03,950 --> 00:02:06,370
+the back, the picture will remain clear to a
+
+25
+00:02:06,370 --> 00:02:10,830
+certain range, from to .. from to .. outside this
+
+26
+00:02:10,830 --> 00:02:14,530
+range, in front of it or behind it, the picture
+
+27
+00:02:14,530 --> 00:02:16,910
+will not be clear
+
+28
+00:02:19,760 --> 00:02:25,260
+اللي لو حطينا ورقة التلقي تحت الصورة أو ورقة ال A4
+
+29
+00:02:25,260 --> 00:02:29,860
+في داخلها، هذه المسافة، لو حطينا ورقة التلقي في
+
+30
+00:02:29,860 --> 00:02:34,280
+داخلها، هتكون الصورة عندي واضحة، لو حطينا ورقة
+
+31
+00:02:34,280 --> 00:02:38,280
+التلقي خارجها، يعني برة منها للخلف أو برة منها
+
+32
+00:02:38,280 --> 00:02:42,890
+للأمام، هتكون الصورة مش واضحة This range of clarity
+
+33
+00:02:42,890 --> 00:02:48,350
+is called depth of focus or عمق البقرة or عمق
+
+34
+00:02:48,350 --> 00:02:52,810
+البقرة And this is available for most lenses that
+
+35
+00:02:52,810 --> 00:02:56,130
+have depth of focus, which means a certain area
+
+36
+00:02:56,130 --> 00:03:01,490
+where I can capture the image clearly Of course
+
+37
+00:03:01,490 --> 00:03:05,350
+around the main location of the image
+
+38
+00:03:11,620 --> 00:03:14,920
+This drawing also explains things in a better way
+
+39
+00:03:14,920 --> 00:03:18,740
+We say that this is the image, the place where I
+
+40
+00:03:18,740 --> 00:03:22,320
+got it, which is the red arrow, is the image If I
+
+41
+00:03:22,320 --> 00:03:29,900
+.. If I ..I put the receipt paper in front of me,
+
+42
+00:03:30,020 --> 00:03:33,220
+if I put it in this area, I will also see a clear
+
+43
+00:03:33,220 --> 00:03:35,080
+picture, in this area, I will see a clear picture,
+
+44
+00:03:35,500 --> 00:03:37,860
+in this area, I will see a clear picture, I have
+
+45
+00:03:37,860 --> 00:03:41,060
+the blue arrow, which is the most point in front
+
+46
+00:03:41,060 --> 00:03:44,000
+of me, I can get a clear picture of it, outside
+
+47
+00:03:44,000 --> 00:03:48,100
+it, here, if I put it here, I will have a blurry
+
+48
+00:03:48,100 --> 00:03:51,380
+picture, also if I go back from the main place of
+
+49
+00:03:51,380 --> 00:03:55,380
+the picture a little bit هضل أتلقى صورة واضحة، يعني
+
+50
+00:03:55,380 --> 00:03:59,200
+لو حطيت ورقة ال A4 هنا، هتلقى صورة واضحة لو حطيتها
+
+51
+00:03:59,200 --> 00:04:04,300
+هنا، لغاية ما أصل لسهم الأخضر، المكان هذا، أخر
+
+52
+00:04:04,300 --> 00:04:08,420
+منطقة بقدر أشوف فيها صورة واضحةلو حطيت ورقة التلقي
+
+53
+00:04:08,420 --> 00:04:12,020
+بعده، برات منه، ساعتها الصورة هتكون مربشة، يعني
+
+54
+00:04:12,020 --> 00:04:15,480
+برات هذا ال range اللي هو بيمتد من السهم الأزرق
+
+55
+00:04:15,480 --> 00:04:19,820
+للسهم الأخضر، براته إلى الخلف منه أو إلى الأمام
+
+56
+00:04:19,820 --> 00:04:23,620
+منه، الصورة بتكون مش واضحة، ليش؟ لأنه احنا طلعنا
+
+57
+00:04:23,620 --> 00:04:29,660
+من المنطقة اللي بيسموها depth of focus أو العمق
+
+58
+00:04:29,660 --> 00:04:33,900
+البؤري، أو العمق البؤري، اذا كل عدسة الليها depth
+
+59
+00:04:33,900 --> 00:04:37,830
+ofFocus. Outside with the paper positioned.
+
+60
+00:04:38,390 --> 00:04:41,850
+Outside this region, the image appears blurred.
+
+61
+00:04:42,410 --> 00:04:47,510
+لما بنحط ورقة التلقى خارج هذه ال range أو خارج ال
+
+62
+00:04:47,510 --> 00:04:53,410
+depth of focus، بنحصل على صورة مغبشة مش واضحة لإن
+
+63
+00:04:53,410 --> 00:04:59,670
+احنا خارج العمق البؤري للعدسة أو لل optical system
+
+64
+00:04:59,670 --> 00:05:01,250
+أو لل optical system
+
+65
+00:05:13,270 --> 00:05:18,030
+The size of this region represents the depth of
+
+66
+00:05:18,030 --> 00:05:21,550
+focus which may be small or large depending on
+
+67
+00:05:21,550 --> 00:05:22,750
+several factors
+
+68
+00:05:29,970 --> 00:05:31,730
+It starts from how much to how much? Is it
+
+69
+00:05:31,730 --> 00:05:35,770
+measured in millimeters or in centimeters? Or in
+
+70
+00:05:35,770 --> 00:05:39,290
+meters? Or how is it measured? Is it small or big?
+
+71
+00:05:39,670 --> 00:05:43,410
+Of course, the depth of focus can be small or big
+
+72
+00:05:43,410 --> 00:05:48,350
+This depends on many factors If we want to give an
+
+73
+00:05:48,350 --> 00:05:51,710
+example, let's say a person is looking at a tree
+
+74
+00:05:51,710 --> 00:06:01,430
+50 meters away, a big tree This treeit forms a
+
+75
+00:06:01,430 --> 00:06:04,170
+picture on the network, it forms a picture on the
+
+76
+00:06:04,170 --> 00:06:09,550
+network of this person, then .. then the receipt
+
+77
+00:06:09,550 --> 00:06:12,450
+paper in this case is the network, if this person
+
+78
+00:06:12,450 --> 00:06:14,690
+tried one meter from the tree, that is, it became
+
+79
+00:06:14,690 --> 00:06:18,290
+49 meters away or one meter away from its original
+
+80
+00:06:18,290 --> 00:06:21,010
+location, it became 51 meters and the picture of
+
+81
+00:06:21,010 --> 00:06:23,990
+the tree remained clear on the network as proof
+
+82
+00:06:23,990 --> 00:06:30,210
+thatand it's clear, it's focused, it means that it
+
+83
+00:06:30,210 --> 00:06:34,190
+still sees the tree clearly So I have a range,
+
+84
+00:06:34,290 --> 00:06:37,470
+depth of focus of two meters and maybe more than
+
+85
+00:06:37,470 --> 00:06:39,910
+two meters, the reason is that the object is big,
+
+86
+00:06:39,970 --> 00:06:42,330
+the object is big, there are many factors that
+
+87
+00:06:42,330 --> 00:06:47,010
+control the depth of focus of the image, the depth
+
+88
+00:06:47,010 --> 00:06:50,130
+of focus of the image, maybe in other cases when
+
+89
+00:06:50,130 --> 00:06:55,340
+the object is smalland the experience is limited,
+
+90
+00:06:55,620 --> 00:07:00,320
+the depth of focus can be very small, it can be
+
+91
+00:07:00,320 --> 00:07:02,180
+measured in millimeters, it can be measured in
+
+92
+00:07:02,180 --> 00:07:07,180
+millimeters, so the depth of focus depends on many
+
+93
+00:07:07,180 --> 00:07:11,760
+factors Okay, what is the benefit of depth of
+
+94
+00:07:11,760 --> 00:07:15,500
+focus? In the past, depth of focus was of concern
+
+95
+00:07:15,500 --> 00:07:19,970
+only in the management of presbyopiaHowever, it is
+
+96
+00:07:19,970 --> 00:07:23,190
+an important concept in refractive surgery as
+
+97
+00:07:23,190 --> 00:07:29,190
+well. A long time ago before humans discovered the
+
+98
+00:07:29,190 --> 00:07:32,150
+subject of LASIK, refractive surgery, they
+
+99
+00:07:32,150 --> 00:07:35,570
+benefited from the issue of depth of focus during
+
+100
+00:07:35,570 --> 00:07:39,290
+the treatment of breast biopia. Breast biopia, or
+
+101
+00:07:39,290 --> 00:07:44,730
+short-sightedness,It's a situation that hits the
+
+102
+00:07:44,730 --> 00:07:48,710
+lens of the eye in a person who is over 40 years
+
+103
+00:07:48,710 --> 00:07:51,830
+old, so that the lens loses its flexibility and
+
+104
+00:07:51,830 --> 00:07:56,790
+you can't do accommodationand consequently, a
+
+105
+00:07:56,790 --> 00:08:01,050
+person needs glasses for reading, a person needs
+
+106
+00:08:01,050 --> 00:08:03,910
+glasses for reading, this case we call it
+
+107
+00:08:03,910 --> 00:08:08,870
+presbyopia or presbyopia, presbyopia When a person
+
+108
+00:08:08,870 --> 00:08:12,190
+wants to describe glasses to this person, these
+
+109
+00:08:12,190 --> 00:08:14,930
+glasses or lenses that are attached should be
+
+110
+00:08:14,930 --> 00:08:17,790
+describedin order to help this person who is
+
+111
+00:08:17,790 --> 00:08:23,710
+presbyopic to read or see things clearly it is
+
+112
+00:08:23,710 --> 00:08:25,690
+necessary that the lenses that you recommend him
+
+113
+00:08:25,690 --> 00:08:29,570
+or her have a range of depth of focus that is
+
+114
+00:08:29,570 --> 00:08:36,720
+comfortable so that if this person reads a bookand
+
+115
+00:08:36,720 --> 00:08:39,280
+tried to take the book out of his eyes, or even a
+
+116
+00:08:39,280 --> 00:08:44,840
+little bit, he wouldn't have any blurring in his
+
+117
+00:08:44,840 --> 00:08:46,820
+vision, meaning he wouldn't have any blurring in
+
+118
+00:08:46,820 --> 00:08:49,100
+his vision, but rather he would have range for the
+
+119
+00:08:49,100 --> 00:08:52,440
+depth of focus in a comfortable way, in a
+
+120
+00:08:52,440 --> 00:08:55,340
+comfortable way. Now, this issue is also taken
+
+121
+00:08:55,340 --> 00:08:58,400
+into consideration in refractive surgery, that the
+
+122
+00:08:58,400 --> 00:09:01,320
+person who wants to do the Lasik operation to get
+
+123
+00:09:01,320 --> 00:09:03,800
+rid of shortness of vision, or length of vision,
+
+124
+00:09:03,940 --> 00:09:08,460
+or astigmatism,In lasek and similar operations, it
+
+125
+00:09:08,460 --> 00:09:12,760
+is very important that after the operation, the
+
+126
+00:09:12,760 --> 00:09:16,080
+new optical system that is produced, which is the
+
+127
+00:09:16,080 --> 00:09:20,340
+retina after modification, has a range of depth of
+
+128
+00:09:20,340 --> 00:09:24,100
+focus that is comfortable, so that this person can
+
+129
+00:09:24,100 --> 00:09:30,060
+see all distances clearly without having to wear
+
+130
+00:09:30,060 --> 00:09:35,950
+glasses again. Now we are going to moveLet's talk
+
+131
+00:09:35,950 --> 00:09:39,130
+about another thing which is called depth of field
+
+132
+00:09:39,130 --> 00:09:43,310
+The depth of field is the same idea as depth of
+
+133
+00:09:43,310 --> 00:09:47,190
+focus, but this is specific to the object In other
+
+134
+00:09:47,190 --> 00:09:51,750
+words, when we talk about the image, if we move
+
+135
+00:09:51,750 --> 00:09:55,170
+the focus point or move the focus point, there is
+
+136
+00:09:55,170 --> 00:09:59,150
+a certain range in which the image is clear, and
+
+137
+00:09:59,150 --> 00:10:03,720
+this is called depth of focusWe don't want to move
+
+138
+00:10:03,720 --> 00:10:06,080
+the receipt paper, we want to keep it fixed in its
+
+139
+00:10:06,080 --> 00:10:09,980
+place And we ask ourselves a question, if we keep
+
+140
+00:10:09,980 --> 00:10:14,600
+the receipt paper fixed and the optical system
+
+141
+00:10:14,600 --> 00:10:20,240
+fixed in its placeBut we moved the object closer
+
+142
+00:10:20,240 --> 00:10:23,840
+to the lens and moved it away from the lens Is
+
+143
+00:10:23,840 --> 00:10:26,620
+there a certain range? Is there a certain range?
+
+144
+00:10:27,320 --> 00:10:31,340
+The picture remains clear even though we moved the
+
+145
+00:10:31,340 --> 00:10:33,840
+object and changed its location Of course there is
+
+146
+00:10:33,840 --> 00:10:37,160
+a certain range, the picture remains clear, we
+
+147
+00:10:37,160 --> 00:10:40,230
+agreed that the picture should beWe leave the
+
+148
+00:10:40,230 --> 00:10:43,070
+place where we received it fixed, while what we
+
+149
+00:10:43,070 --> 00:10:46,730
+want to change in its content is the object Once
+
+150
+00:10:46,730 --> 00:10:49,750
+we try it from the optical system and once we move
+
+151
+00:10:49,750 --> 00:10:51,630
+away from the optical system, scientists found
+
+152
+00:10:51,630 --> 00:10:55,750
+that there is a certain range If we move in the
+
+153
+00:10:55,750 --> 00:10:59,430
+object towards the lens or away from the lens,
+
+154
+00:11:00,010 --> 00:11:03,210
+then the image will remain clear outside this
+
+155
+00:11:03,210 --> 00:11:07,230
+rangecloser to the lens or farther from it to the
+
+156
+00:11:07,230 --> 00:11:10,790
+lens outside of this area which extends from blue
+
+157
+00:11:10,790 --> 00:11:14,970
+to green, outside of it if we keep using the same
+
+158
+00:11:14,970 --> 00:11:17,870
+lens and the same reception paper and their sites
+
+159
+00:11:17,870 --> 00:11:21,630
+are stable and we go out of this range, then the
+
+160
+00:11:21,630 --> 00:11:24,210
+picture will fade away, this range where the
+
+161
+00:11:24,210 --> 00:11:27,860
+picture remains clear لو حركنا فيه ال object في
+
+162
+00:11:27,860 --> 00:11:31,600
+خلاله، هذا ال range يسمى depth of field أو عمق
+
+163
+00:11:31,600 --> 00:11:37,400
+الحقل، عمق الحقل، وبالتالي هذه القضية يعني بدها
+
+164
+00:11:37,400 --> 00:11:42,240
+تكون واضحة ان شاء الله تعالى، اذا depth of focus
+
+165
+00:11:42,240 --> 00:11:46,160
+applies to the image, depth of field is the same
+
+166
+00:11:46,160 --> 00:11:50,710
+idea applied to objectsIf a camera or other
+
+167
+00:11:50,710 --> 00:11:53,870
+optical system is focused on an object, nearby
+
+168
+00:11:53,870 --> 00:11:58,910
+objects also are also in focus لو جبنا كاميرا،
+
+169
+00:11:58,910 --> 00:12:01,990
+كاميرا التصوير، و اتطلعنا في العدسة تاعتها، و
+
+170
+00:12:01,990 --> 00:12:07,870
+ركزنا على object معين في الفراق، محيط فينا، هنلاقي
+
+171
+00:12:07,870 --> 00:12:14,070
+انه مش بس ال object هذا focused، ولكن ايضا الاجسام
+
+172
+00:12:14,070 --> 00:12:18,160
+المجاورة إليه بتكون also in focusobjects within
+
+173
+00:12:18,160 --> 00:12:21,060
+the range of depth of field will be in focus
+
+174
+00:12:21,060 --> 00:12:25,020
+whereas objects outside the depth of field will be
+
+175
+00:12:25,020 --> 00:12:29,940
+out of focus ويمكن الصورة هي يعني خير دليل ويمكن
+
+176
+00:12:29,940 --> 00:12:31,960
+الصورة هي يعني خير دليل احنا عندنا تجربة مكونة من
+
+177
+00:12:31,960 --> 00:12:36,140
+كاميرتين كل كاميرا محتوطة على stand هاي الكاميرا
+
+178
+00:12:36,140 --> 00:12:40,940
+الأولى وهي الكاميرا التانية الكاميرا الأولى فيها
+
+179
+00:12:40,940 --> 00:12:45,500
+عدسة وفيها film العدسة .. العدسة هي ال optical
+
+180
+00:12:45,500 --> 00:12:51,130
+systemوالفيلم هو ورقة التلقى، إذا العدسة ثابتة في
+
+181
+00:12:51,130 --> 00:12:55,790
+مكانها، ال stand مش هنحركه وورقة التلقى، وورقة
+
+182
+00:12:55,790 --> 00:12:58,850
+التلقى اللي هي الفيلم بتاع الكاميرا ثابت في مكانه،
+
+183
+00:12:58,850 --> 00:13:02,410
+مابتغيرش طالما العدسة ثابتة، الكاميرا ككل ثابتة،
+
+184
+00:13:02,410 --> 00:13:08,390
+تمام؟ الآن الإنسان هذا بدأ يتطلع بعينه عشان يشوف
+
+185
+00:13:08,390 --> 00:13:13,110
+وضوح وضوح الصورة قبل ما يلتقط الصورة، فوجد هو مركز
+
+186
+00:13:13,110 --> 00:13:17,310
+عند النقطة هىعند النقطة high ليه؟ عند رأس القط،
+
+187
+00:13:17,310 --> 00:13:21,250
+عند رأس القط أو رأس النمر إلى آخرين، فلاجف أنه في
+
+188
+00:13:21,250 --> 00:13:26,090
+range حوالين رأس القط واضحSo it's true that the
+
+189
+00:13:26,090 --> 00:13:28,650
+focus point is at the top of the cat
+
+223
+00:15:25,620 --> 00:15:28,960
+tree and the trees and the mountain and the trees 
+
+224
+00:15:28,960 --> 00:15:32,420
+on the mountain, so I have large depth of field,
+
+225
+00:15:32,540 --> 00:15:37,460
+large depth of field, which is compared to narrow
+
+226
+00:15:37,460 --> 00:15:41,920
+depth of field, of course, in quality, in quality, 
+
+227
+00:15:42,260 --> 00:15:44,980
+the second camera is considered better than the
+
+228
+00:15:44,980 --> 00:15:47,980
+first camera. Because when we meet a picture in it, 
+
+229
+00:15:48,300 --> 00:15:52,140
+we will be focusing on a certain point in the film 
+
+230
+00:15:52,140 --> 00:15:56,260
+And a wide area around this point that we are
+
+231
+00:15:56,260 --> 00:16:00,290
+focusing on, it will also be in focus, the depth of 
+
+232
+00:16:00,290 --> 00:16:04,030
+field is wide, so I will have a picture that is
+
+233
+00:16:04,030 --> 00:16:13,250
+very wide and not narrow as in the first picture. I
+
+234
+00:16:13,250 --> 00:16:16,540
+also have another example. I have the same two
+
+235
+00:16:16,540 --> 00:16:19,420
+cameras, but they are different. I mean the lenses 
+
+236
+00:16:19,420 --> 00:16:23,580
+are different, so here the focus point is on the 
+
+237
+00:16:23,580 --> 00:16:27,680
+man, we meet the image of the man, I mean to the 
+
+238
+00:16:27,680 --> 00:16:32,980
+point that we see or meet a picture of him here I 
+
+239
+00:16:32,980 --> 00:16:35,520
+have narrow depth or shallow depth of field 
+
+240
+00:16:35,520 --> 00:16:38,600
+shallow or narrow means narrow then it got deep 
+
+241
+00:16:38,600 --> 00:16:43,680
+and brought me deep so as we notice outside the
+
+242
+00:16:43,680 --> 00:16:49,760
+depth of field area I have the tree very deep and
+
+243
+00:16:49,760 --> 00:16:53,970
+the herbs very deep here I have wide or large depth
+
+244
+00:16:53,970 --> 00:16:56,670
+of field. It's true that the focus through the 
+
+245
+00:16:56,670 --> 00:16:59,770
+lens of the camera is focused on the man, but 
+
+246
+00:16:59,770 --> 00:17:05,910
+everything after the man is clear 
+
+247
+00:17:05,910 --> 00:17:09,690
+because I have a large depth of field. Large depth
+
+248
+00:17:09,690 --> 00:17:11,230
+of field.
+
+249
+00:17:13,990 --> 00:17:16,830
+So, we will stop, God willing, at the image
+
+250
+00:17:16,830 --> 00:17:20,610
+quality and God bless you. Peace, mercy and 
+
+251
+00:17:20,610 --> 00:17:21,170
+blessings of God be upon you. 
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/THW_ZA0qQJ8_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/THW_ZA0qQJ8_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..445136caea85e8c5a17f6694b0b071492e178351
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/THW_ZA0qQJ8_raw.srt
@@ -0,0 +1,2752 @@
+1
+00:00:01,670 --> 00:00:05,130
+بسم الله الرحمن الرحيم بنواصل مع محاضرات ال
+
+2
+00:00:05,130 --> 00:00:07,830
+geometric optics و اليوم هنحكي عن ال spherical
+
+3
+00:00:07,830 --> 00:00:15,670
+aberration الزيغ الكوراوي و هي نوع من أنواع ال
+
+4
+00:00:15,670 --> 00:00:19,350
+higher order aberration ال higher order aberration
+
+5
+00:00:19,350 --> 00:00:23,130
+هنشوف بس عشان نتخيل الموضوع كيف احنا بنحكي عن
+
+6
+00:00:23,670 --> 00:00:27,010
+spherical aberrations, we said that there are many
+
+7
+00:00:27,010 --> 00:00:30,570
+types of spherical aberrations or higher order
+
+8
+00:00:30,570 --> 00:00:34,310
+aberrations including spherical aberrations, let's
+
+9
+00:00:34,310 --> 00:00:43,170
+see how it means
+
+10
+00:00:43,170 --> 00:00:47,330
+of
+
+11
+00:00:47,330 --> 00:00:52,230
+point source of
+
+12
+00:00:52,230 --> 00:00:52,590
+light
+
+13
+00:00:59,920 --> 00:01:03,320
+Here we have an example of spherical aberrations,
+
+14
+00:01:03,940 --> 00:01:07,600
+where the point source of light is surrounded by a
+
+15
+00:01:07,600 --> 00:01:11,220
+halo of light that does not look like a point. Of
+
+16
+00:01:11,220 --> 00:01:13,360
+course, this has spherical aberration, and
+
+17
+00:01:13,360 --> 00:01:16,600
+everything we see has spherical aberration. So,
+
+18
+00:01:16,820 --> 00:01:20,540
+what causes spherical aberration? First of all,
+
+19
+00:01:20,620 --> 00:01:24,240
+spherical aberration causes night myopia, and in
+
+20
+00:01:24,240 --> 00:01:27,660
+some cases, a fluctuation of vision following
+
+21
+00:01:27,660 --> 00:01:31,740
+keratorefractive surgery.Spherical aberration, the
+
+22
+00:01:31,740 --> 00:01:34,460
+harm of its existence can happen to night myopia,
+
+23
+00:01:34,680 --> 00:01:38,160
+which means when the light is low, which means
+
+24
+00:01:38,160 --> 00:01:42,320
+close to the end of the day, at sunset or after
+
+25
+00:01:42,320 --> 00:01:46,240
+sunset, and the pupil of the person expands, it is
+
+26
+00:01:46,240 --> 00:01:49,020
+possible that because of the spherical aberration,
+
+27
+00:01:49,140 --> 00:01:52,900
+I get night myopia, instead of M trough, I get
+
+28
+00:01:52,900 --> 00:01:56,500
+myopia, or maybe the person who did Lasik and his
+
+29
+00:01:56,500 --> 00:01:59,720
+Lasik operation was successful,في النهار ممكن يشوف
+
+30
+00:01:59,720 --> 00:02:05,020
+كويس، في الليل يصير عنده تردي في حدة الإبصار زي ما
+
+31
+00:02:05,020 --> 00:02:09,150
+هنشوف بعد شويةIn order to understand why the
+
+32
+00:02:09,150 --> 00:02:12,210
+spherical aberration causes this problem, we need
+
+33
+00:02:12,210 --> 00:02:15,030
+to give an introduction. We say that although the
+
+34
+00:02:15,030 --> 00:02:18,730
+spherical surface focuses rays stigmatically in
+
+35
+00:02:18,730 --> 00:02:22,110
+the para-axial region according to the lensmaker's
+
+36
+00:02:22,110 --> 00:02:30,110
+equation that we took, rays outside that region do
+
+37
+00:02:30,110 --> 00:02:33,430
+not focus to a point, but rather give a point
+
+38
+00:02:33,430 --> 00:02:35,890
+spread function. If we go to a magnifying glass
+
+39
+00:02:35,890 --> 00:02:41,080
+here,الـ light rays اللي مشغلها باللون الأحمر هي
+
+40
+00:02:42,220 --> 00:02:45,280
+Paraxial ray is close to the optical axis and its
+
+41
+00:02:45,280 --> 00:02:49,400
+focus is ideal
+
+42
+00:03:13,380 --> 00:03:16,460
+The light ray, which is drawn in green, has its
+
+43
+00:03:16,460 --> 00:03:19,000
+focus here, while the red, which is drawn in
+
+44
+00:03:19,000 --> 00:03:24,120
+paraxial, has its focus here, the ideal focus,
+
+45
+00:03:24,220 --> 00:03:27,240
+which is the paraxial focus. The most peripheral
+
+46
+00:03:27,240 --> 00:03:32,360
+blue light rays are closest to the lens, so
+
+47
+00:03:32,360 --> 00:03:38,990
+wherever away from the optical axis, whereverThe
+
+48
+00:03:38,990 --> 00:03:42,830
+focus will be closer to the optical system This is
+
+49
+00:03:42,830 --> 00:03:49,430
+the reason of the multiple of the foci in the same
+
+50
+00:03:49,430 --> 00:03:54,730
+light band leading to the spherical aberration
+
+51
+00:03:54,730 --> 00:03:57,250
+leading to the spherical aberration
+
+52
+00:03:59,540 --> 00:04:02,540
+For a positive spherical surface, the farther
+
+53
+00:04:02,540 --> 00:04:05,860
+array is from the axis, the more anterior its
+
+54
+00:04:05,860 --> 00:04:06,260
+focus.
+
+55
+00:04:16,700 --> 00:04:19,540
+Spherical aberration has two effects
+
+56
+00:04:22,200 --> 00:04:26,820
+أول أثر ال image quality أو بين جسين ال visual
+
+57
+00:04:26,820 --> 00:04:30,240
+acuity decreases because the focus is not
+
+58
+00:04:30,240 --> 00:04:35,820
+stigmatic يعني لما أنا بشوف بعيني المجردة نفرض هذه
+
+59
+00:04:35,820 --> 00:04:40,840
+هي القرنية و العدسة و ورقة التلقي هي ال retina لما
+
+60
+00:04:40,840 --> 00:04:43,700
+بقول أنه هذه العين فيها أو بتعمل spherical
+
+61
+00:04:43,700 --> 00:04:46,940
+aberration معناته بعض الأشعة يكون ال focus بتاعها
+
+62
+00:04:46,940 --> 00:04:50,580
+هنا بعضة هنا بعضة على ال retinasome behind the
+
+63
+00:04:50,580 --> 00:04:54,700
+retina, so not all rays are concentrated in one
+
+64
+00:04:54,700 --> 00:04:59,400
+point, which leads to poor image quality. Image
+
+65
+00:04:59,400 --> 00:05:03,600
+quality is affected by visual acuity
+
+66
+00:05:08,560 --> 00:05:12,560
+The image location is changed from the position
+
+67
+00:05:12,560 --> 00:05:15,820
+predicted by the lensmaker's equation and vergence
+
+68
+00:05:15,820 --> 00:05:18,040
+equation
+
+69
+00:05:23,050 --> 00:05:26,350
+It was derived from the use of Paraxial rays, when
+
+70
+00:05:26,350 --> 00:05:29,010
+we use the lens maker equation, it will tell us
+
+71
+00:05:29,010 --> 00:05:31,390
+that the focus is here or the image location is
+
+72
+00:05:31,390 --> 00:05:36,390
+here I have some rays here and some rays here and
+
+73
+00:05:36,390 --> 00:05:41,010
+some rays here and some rays hereإذن بقدرش أحدد
+
+74
+00:05:41,010 --> 00:05:45,190
+باستعمال ال lens maker equation إذا كل هذه الأشعة
+
+75
+00:05:45,190 --> 00:05:49,750
+بده تدخل لهذا ال optical system بقدرش أستعمل ال
+
+76
+00:05:49,750 --> 00:05:52,650
+lens maker equation و أقول والله ال image هتكون
+
+77
+00:05:52,650 --> 00:05:56,990
+هناI also can't use divergence calculations for
+
+78
+00:05:56,990 --> 00:06:04,030
+this purpose, so I have two
+
+79
+00:06:04,030 --> 00:06:10,290
+negative things or two negative effects for
+
+80
+00:06:10,290 --> 00:06:12,950
+spherical aberration or something that affects my
+
+81
+00:06:12,950 --> 00:06:14,990
+visual acuity or something that doesn't let me
+
+82
+00:06:14,990 --> 00:06:19,310
+know exactly where the image location isطيب لو
+
+83
+00:06:19,310 --> 00:06:23,390
+اجينا احنا نسينا شوية ال .. ال .. ال aberration و
+
+84
+00:06:23,390 --> 00:06:27,030
+نسينا شوية ال para axial ray و ال peripheral ray و
+
+85
+00:06:27,030 --> 00:06:30,810
+قولنا أين تقع ال image Roughly speaking, the best
+
+86
+00:06:30,810 --> 00:06:34,930
+focus is achieved where the rays are confined to
+
+87
+00:06:34,930 --> 00:06:38,450
+the smallest area بمعنى أخر، هاي عندي أنا عندي
+
+88
+00:06:38,450 --> 00:06:43,120
+نفرض ست أشعةIt's two red and two green and two
+
+89
+00:06:43,120 --> 00:06:47,220
+blue Let's suppose that they are all together They
+
+90
+00:06:47,220 --> 00:06:51,140
+all want to make a picture of me because they all
+
+91
+00:06:51,140 --> 00:06:55,200
+started from the same point Okay, if I took a clip
+
+92
+00:06:55,200 --> 00:06:59,240
+here, the clip will be .. if I put the receipt
+
+93
+00:06:59,240 --> 00:07:01,940
+paper here, it will be the circle made up of these
+
+94
+00:07:01,940 --> 00:07:05,760
+rays, that is, its diameter is large The smallest
+
+95
+00:07:05,760 --> 00:07:08,160
+diameter possible here, that's why they call it
+
+96
+00:07:08,160 --> 00:07:11,430
+the best focusYou can also say that here is an
+
+97
+00:07:11,430 --> 00:07:16,350
+ideal focus, here are two of the six rays, meaning
+
+98
+00:07:16,350 --> 00:07:20,670
+one third of the rays are focusing here, while the
+
+99
+00:07:20,670 --> 00:07:26,590
+rest are not, so if I take a point here, it will
+
+100
+00:07:26,590 --> 00:07:29,790
+be the circle, if we assume that this is a wall,
+
+101
+00:07:29,910 --> 00:07:34,590
+the circle will be its line from here to hereوهنا
+
+102
+00:07:34,590 --> 00:07:37,430
+برضه مش مناسب، من هنا لأ، يعني أصغر مقطع هيكون
+
+103
+00:07:37,430 --> 00:07:41,370
+هنا، هذا ال best focus، هذا ال best focus، اذا the
+
+104
+00:07:41,370 --> 00:07:44,870
+best focus is achieved where the rays are confined
+
+105
+00:07:44,870 --> 00:07:47,690
+to the smallest area، واضح أنه ال best focus هنا
+
+106
+00:07:47,690 --> 00:07:52,290
+عنديIf I use the lens maker equation, it will show
+
+107
+00:07:52,290 --> 00:07:54,890
+me the image here, while the best focus is here.
+
+108
+00:07:55,010 --> 00:07:58,310
+Why? Because the lens maker equation is used only
+
+109
+00:07:58,310 --> 00:08:01,150
+for the Paraxial ray, while I don't want to take
+
+110
+00:08:01,150 --> 00:08:04,750
+all the rays, no, the best focus is here, the best
+
+111
+00:08:04,750 --> 00:08:07,590
+focus is here. Okay, we want to imagine as usual
+
+112
+00:08:07,590 --> 00:08:12,170
+that this is the crystalline lens, this is the
+
+113
+00:08:12,170 --> 00:08:18,350
+crystalline lens and we come hereNorrison, the
+
+114
+00:08:18,350 --> 00:08:18,630
+pupil
+
+115
+00:08:46,140 --> 00:08:50,060
+In the day, the pupil, which is the opening in the
+
+116
+00:08:50,060 --> 00:08:55,300
+iris, allows only in the day, because the pupil is
+
+117
+00:08:55,300 --> 00:08:58,440
+closed, it allows only the para-axial ray to pass,
+
+118
+00:08:58,620 --> 00:09:03,220
+and if we imagine that the retina is here, then
+
+119
+00:09:03,220 --> 00:09:07,620
+the para-axial ray focuses on the retina, so the
+
+120
+00:09:07,620 --> 00:09:10,000
+picture is very clear, there is no problem. In the
+
+121
+00:09:10,000 --> 00:09:16,410
+day. At night, the butt will happen.expanded as a
+
+122
+00:09:16,410 --> 00:09:19,150
+result of the light of the sun and the amount of
+
+123
+00:09:19,150 --> 00:09:21,690
+light in the darkness is less, so it expands the
+
+124
+00:09:21,690 --> 00:09:25,910
+belly All these rays enter the crystalline lens,
+
+125
+00:09:26,150 --> 00:09:29,150
+of course after entering the cornea So where is
+
+126
+00:09:29,150 --> 00:09:31,010
+the best focus? The best focus is in front of the
+
+127
+00:09:31,010 --> 00:09:34,210
+retina, so that's why this is for the person who
+
+128
+00:09:34,210 --> 00:09:38,670
+has the focus The best focus means the best focus
+
+129
+00:09:38,670 --> 00:09:41,970
+for all the rays gathered herewhile the retina is
+
+130
+00:09:41,970 --> 00:09:44,830
+here, the retina will not change its place, so
+
+131
+00:09:44,830 --> 00:09:48,390
+when the focus is in front of the retina, then
+
+132
+00:09:48,390 --> 00:09:54,390
+this person who was before m-trop, that is, he has
+
+133
+00:09:54,390 --> 00:09:56,730
+neither short nor long, that is, neither in front
+
+134
+00:09:56,730 --> 00:09:59,670
+of the retina nor behind the retina, became at
+
+135
+00:09:59,670 --> 00:10:04,010
+night with myopia because the focus became .. the
+
+136
+00:10:04,010 --> 00:10:07,630
+focus becameIn this region, in front of the
+
+137
+00:10:07,630 --> 00:10:09,810
+retina, it is known that the focus in front of the
+
+138
+00:10:09,810 --> 00:10:14,750
+retina is considered major. So this patient...This
+
+139
+00:10:14,750 --> 00:10:17,630
+patient, during the day, is immature, and during
+
+140
+00:10:17,630 --> 00:10:20,270
+the night, he has night myopia. We need to make
+
+141
+00:10:20,270 --> 00:10:22,350
+sure that if we examine him during sunset, and the
+
+142
+00:10:22,350 --> 00:10:25,370
+amount of light in the room reduces a little, if
+
+143
+00:10:25,370 --> 00:10:28,290
+we put minus one or minus half, we will find that
+
+144
+00:10:28,290 --> 00:10:31,750
+he started to see more clearly than if we did not
+
+145
+00:10:31,750 --> 00:10:35,610
+put any lens on him. So this night myopia is
+
+146
+00:10:35,610 --> 00:10:38,130
+caused by the enlargement of the pupil, the
+
+147
+00:10:38,130 --> 00:10:40,490
+peripheral ray, which is larger than the para
+
+148
+00:10:40,490 --> 00:10:47,140
+-axial ray, all entered the eye,الاشعع مجتمع سواء
+
+149
+00:10:47,140 --> 00:10:49,760
+paraaxial أو peripheral كلها مع بعضها ال best
+
+150
+00:10:49,760 --> 00:10:53,860
+focus بتاعها هنا و هذا الموقع هو أمام ال retina هو
+
+151
+00:10:53,860 --> 00:11:00,420
+أمام ال retina فبالتالي هذا بيحكيلي أنه ال
+
+152
+00:11:00,420 --> 00:11:04,040
+spherical aberration بتسبب night myopia in the
+
+153
+00:11:04,040 --> 00:11:09,260
+human eye spherical aberrationIt shifts the focus
+
+154
+00:11:09,260 --> 00:11:13,300
+anteriorly, بتحركلي ال focus في ال human eye بتحرك
+
+155
+00:11:13,300 --> 00:11:17,760
+ال focus anteriorly يعني كان على الشبكية بس بسبب
+
+156
+00:11:17,760 --> 00:11:20,340
+ال spherical aberration اتحرك للأمام
+
+157
+00:11:23,300 --> 00:11:26,600
+making the patient slightly more myopic than would
+
+158
+00:11:26,600 --> 00:11:29,180
+be expected from vergence calculations
+
+159
+00:11:48,290 --> 00:11:50,710
+The object at a certain distance, for example, and
+
+160
+00:11:50,710 --> 00:11:53,570
+this is the optical system, and according to the
+
+161
+00:11:53,570 --> 00:11:55,290
+image distance, it came out in front of the
+
+162
+00:11:55,290 --> 00:11:57,930
+network of half a diopter. I said that this eye
+
+163
+00:11:57,930 --> 00:12:02,070
+has a myopia of half a diopter. Half a diopter,
+
+164
+00:12:02,250 --> 00:12:06,150
+according to Virgin's calculations.The spherical
+
+165
+00:12:06,150 --> 00:12:08,450
+aberration will make it slightly more than half a
+
+166
+00:12:08,450 --> 00:12:10,310
+diopter, for example one diopter, one and a
+
+167
+00:12:10,310 --> 00:12:13,670
+quarter diopter, one and a half diopter, so this
+
+168
+00:12:13,670 --> 00:12:18,150
+case is slightly more myopic than would be
+
+169
+00:12:18,150 --> 00:12:23,870
+expected from virgin's calculations Okay, this is
+
+170
+00:12:23,870 --> 00:12:26,830
+a point, there is also something that if a person
+
+171
+00:12:26,830 --> 00:12:30,390
+is already myopicThe spherical aberration
+
+172
+00:12:30,390 --> 00:12:33,610
+exacerbates myopia in low light. The spherical
+
+173
+00:12:33,610 --> 00:12:35,590
+aberration increases myopia. For example, if
+
+174
+00:12:35,590 --> 00:12:39,150
+someone has two degrees of myopia and has
+
+175
+00:12:39,150 --> 00:12:41,290
+spherical aberration, two degrees during the day
+
+176
+00:12:41,290 --> 00:12:44,210
+will become two and a half or three degrees at
+
+177
+00:12:44,210 --> 00:12:49,890
+night. On the contrary, in low light, in brighter
+
+178
+00:12:49,890 --> 00:12:53,270
+conditions during the day, the pupil constricts,
+
+179
+00:12:53,430 --> 00:12:56,150
+blocking the more peripheral ray and minimizing
+
+180
+00:12:56,150 --> 00:12:59,980
+the effect of spherical aberration.So, during the
+
+181
+00:12:59,980 --> 00:13:03,660
+day, when there is a high external radiation to
+
+182
+00:13:03,660 --> 00:13:08,840
+the pupil constricts
+
+183
+00:13:16,450 --> 00:13:22,650
+It means that only the para-axial region is
+
+184
+00:13:22,650 --> 00:13:23,410
+allowed to enter the eye, but the peripheral
+
+185
+00:13:23,410 --> 00:13:25,390
+region will be blocked because it will collide
+
+186
+00:13:25,390 --> 00:13:28,950
+with the iris, so it will get rid of the spherical
+
+187
+00:13:28,950 --> 00:13:31,250
+aberration A person can say that it is excellent,
+
+188
+00:13:31,390 --> 00:13:33,810
+so the solution is to make a meiosis for a person
+
+189
+00:13:33,810 --> 00:13:36,610
+who has a spherical aberration We make a meiosis
+
+190
+00:13:36,610 --> 00:13:41,970
+for a person who has a spherical aberration, that
+
+191
+00:13:41,970 --> 00:13:46,940
+is, we make a contraction for the buttطبعا لو
+
+192
+00:13:46,940 --> 00:13:50,960
+شوفنا الرسم هاي هذا meiotic pupil constricted او
+
+193
+00:13:50,960 --> 00:13:54,940
+meiotic pupil هذا normal او حتى slightly dilated
+
+194
+00:13:54,940 --> 00:14:00,240
+pupil هنا يعني maximally dilated pupil maximally
+
+195
+00:14:00,240 --> 00:14:04,780
+dilated pupil طبعا احنا بنقدر نحدث meiosis نقدر
+
+196
+00:14:04,780 --> 00:14:08,720
+نحدث meiosis pharmacologically بواسطة قطرة ال
+
+197
+00:14:08,720 --> 00:14:14,640
+bilocarbine بواسطة قطرة ال bilocarbine تستخدمليه
+
+198
+00:14:14,640 --> 00:14:19,480
+تضيق البقبو؟ ليه تضيق البقبو؟ ليه bilocarbine
+
+199
+00:14:19,480 --> 00:14:23,980
+تستخدم في علاج أنواع معينة من الglucoma، من ارتفاع
+
+200
+00:14:23,980 --> 00:14:29,360
+ضغط العين، بس هي بتعمل تضيق في البقبو، بتعمل تضيق
+
+201
+00:14:29,360 --> 00:14:32,460
+في البقبو طيب، ممكن إنسان يقول طيب إذا الحل عشان
+
+202
+00:14:32,460 --> 00:14:36,520
+نخلص من ال spherical aberration، بنضيق البقبو،
+
+203
+00:14:36,520 --> 00:14:41,000
+بنقول هنا الحل هيقدّي له مشكلتين، احنا حلينا مشكلة
+
+204
+00:14:41,000 --> 00:14:45,390
+ال spherical aberrationBut we will increase the
+
+205
+00:14:45,390 --> 00:14:47,330
+diffraction problem It is known that when the
+
+206
+00:14:47,330 --> 00:14:50,270
+pupil shrinks, the diffraction increases The
+
+207
+00:14:50,270 --> 00:14:52,830
+radiation fluctuation increases, so I will make
+
+208
+00:14:52,830 --> 00:14:55,590
+another problem Other than the spherical
+
+209
+00:14:55,590 --> 00:14:57,450
+aberration problem, which is diffraction This is
+
+210
+00:14:57,450 --> 00:15:01,670
+one point The second point becomes the field that
+
+211
+00:15:01,670 --> 00:15:06,430
+the eye can see constricted The field that the eye
+
+212
+00:15:06,430 --> 00:15:10,110
+can see constricted, that is, the peripheral areas
+
+213
+00:15:17,460 --> 00:15:19,820
+constricted field of vision constricted field of
+
+214
+00:15:19,820 --> 00:15:28,060
+vision constricted
+
+215
+00:15:28,060 --> 00:15:33,640
+field of vision constricted field of vision
+
+216
+00:15:33,640 --> 00:15:39,660
+constricted field of vision constricted
+
+217
+00:15:39,660 --> 00:15:40,320
+field of vision
+
+218
+00:15:45,120 --> 00:15:47,160
+constricted field of vision, maybe this picture is
+
+219
+00:15:47,160 --> 00:15:51,460
+more expressive when I do meiosis, here the field
+
+220
+00:15:51,460 --> 00:15:58,600
+extends 180 degrees on both sidesالان هذه المناطق
+
+221
+00:15:58,600 --> 00:16:03,460
+أصبحت برا ال field وممكن هذه المناطق تكبر مع ال
+
+222
+00:16:03,460 --> 00:16:07,480
+meiosis يعني بمعنى بس ال central area هي اللي
+
+223
+00:16:07,480 --> 00:16:10,080
+واضحة بس ال central area هي اللي واضحة فبصير
+
+224
+00:16:10,080 --> 00:16:15,560
+construction لل field of vision فهذا بالتالي من
+
+225
+00:16:15,560 --> 00:16:18,120
+عيوب ال meiosis يعني ال meiosis هعمل diffraction
+
+226
+00:16:18,120 --> 00:16:21,230
+أكترIt will create a constriction in the field, so
+
+227
+00:16:21,230 --> 00:16:28,570
+the patient with myosis will only see the central
+
+228
+00:16:28,570 --> 00:16:32,350
+field in front of him and the edges of the field
+
+229
+00:16:32,350 --> 00:16:35,490
+will not be able to see it because of myosis, so
+
+230
+00:16:35,490 --> 00:16:38,810
+it will create a problem for him. So in brighter
+
+231
+00:16:38,810 --> 00:16:45,040
+conditions, the pupil constrictsblocking the more
+
+232
+00:16:45,040 --> 00:16:48,140
+peripheral rays and minimizing the effect of
+
+233
+00:16:48,140 --> 00:16:55,140
+spherical aberration. As the pupil enlarges more
+
+234
+00:16:55,140 --> 00:16:59,480
+peripheral
+
+235
+00:16:59,480 --> 00:17:04,320
+rays enter the eye and the focus shifts anteriorly
+
+236
+00:17:04,320 --> 00:17:07,280
+making the patient slightly more myopic in low
+
+237
+00:17:07,280 --> 00:17:10,700
+light conditions.Okay, how much does it become
+
+238
+00:17:10,700 --> 00:17:13,740
+myopic? Does it become 10 myopia diopters or 5
+
+239
+00:17:13,740 --> 00:17:16,260
+diopters? No, it's typically the amount of myopic
+
+240
+00:17:16,260 --> 00:17:20,020
+shift is about half a diopter, is about half a
+
+241
+00:17:20,020 --> 00:17:22,400
+diopter. Okay, a person might say, well, half a
+
+242
+00:17:22,400 --> 00:17:24,900
+diopter is little. We say, no, it's little, but it
+
+243
+00:17:24,900 --> 00:17:28,240
+can affect the patient. Look how a person has, for
+
+244
+00:17:28,240 --> 00:17:32,580
+example, minus 6 myopia diopters. This is before
+
+245
+00:17:32,580 --> 00:17:37,790
+the laser operation. After the laser operation,It
+
+246
+00:17:37,790 --> 00:17:41,110
+remained half-diopter myopia minus half-diopter,
+
+247
+00:17:41,950 --> 00:17:46,330
+which is
+
+248
+00:17:46,330 --> 00:17:49,110
+amazing because after having six degrees of
+
+249
+00:17:49,110 --> 00:17:51,870
+myopia, it became half-diopter myopia. But because
+
+250
+00:17:51,870 --> 00:17:55,210
+of the spherical aberration at night, this half
+
+251
+00:17:55,210 --> 00:17:57,950
+-diopter became one-diopter. One-diopter means
+
+252
+00:17:57,950 --> 00:18:00,510
+that Morocco needs glasses.especially if he
+
+253
+00:18:00,510 --> 00:18:04,850
+watches TV, if he wants to read on his phone or in
+
+254
+00:18:04,850 --> 00:18:08,530
+his book or any close work, there is no problem
+
+255
+00:18:08,530 --> 00:18:12,630
+with one diopter myopia. But if there is no
+
+256
+00:18:12,630 --> 00:18:15,270
+spherical aberration as much as the half diopter
+
+257
+00:18:15,270 --> 00:18:18,770
+myopia can seeThe distance when near is good, but
+
+258
+00:18:18,770 --> 00:18:22,610
+on one diopter myopia, usually when you read the
+
+259
+00:18:22,610 --> 00:18:26,390
+newspaper, you might need glasses So he did the
+
+260
+00:18:26,390 --> 00:18:29,370
+laser operation and paid for it to get rid of the
+
+261
+00:18:29,370 --> 00:18:32,350
+glasses But because of the spherical aberration,
+
+262
+00:18:32,430 --> 00:18:34,910
+this is an example, so that we don't get bored
+
+263
+00:18:34,910 --> 00:18:38,410
+with the word half-diopter myopia This is an
+
+264
+00:18:38,410 --> 00:18:41,070
+example that explains why half-diopter might make
+
+265
+00:18:41,070 --> 00:18:46,090
+sense to meTypically, the amount of myopic shift
+
+266
+00:18:46,090 --> 00:18:55,230
+is about half a diopter. In addition, because of
+
+267
+00:18:55,230 --> 00:18:56,110
+dark adaptation
+
+268
+00:19:09,670 --> 00:19:12,250
+The human eye enters a state called dark
+
+269
+00:19:12,250 --> 00:19:17,250
+adaptation In this dark adaptation, what happens
+
+270
+00:19:17,250 --> 00:19:24,380
+chemically in the retinal rodswhich is the
+
+271
+00:19:24,380 --> 00:19:27,540
+photoreceptors, which are the rods become more
+
+272
+00:19:27,540 --> 00:19:30,500
+sensitive to the shorter blue wavelength of light
+
+273
+00:19:30,500 --> 00:19:33,840
+become more sensitive to the shorter wavelength of
+
+274
+00:19:33,840 --> 00:19:36,520
+light, which is what we mean by blue light okay,
+
+275
+00:19:36,620 --> 00:19:40,280
+for blue light, its focus is still more anterior
+
+276
+00:19:40,280 --> 00:19:45,020
+contributing further to night myopia okay let's
+
+277
+00:19:45,020 --> 00:19:45,900
+see this picture
+
+278
+00:19:49,480 --> 00:19:53,620
+these eyes have spherical aberration spherical
+
+279
+00:19:53,620 --> 00:19:58,940
+aberration occurs to night myopia this is one
+
+280
+00:19:58,940 --> 00:20:01,880
+point but there is another point as long as it is
+
+281
+00:20:01,880 --> 00:20:04,060
+night myopia means that darkness is gone these
+
+282
+00:20:04,060 --> 00:20:07,460
+eyes become dark adapted the rods in the retina
+
+283
+00:20:07,460 --> 00:20:10,600
+become more sensitive to blue light and blue
+
+284
+00:20:10,600 --> 00:20:14,800
+light's focus is still anteriorIn comparison with
+
+285
+00:20:14,800 --> 00:20:19,200
+red and yellow and green, it's more anterior, if
+
+286
+00:20:19,200 --> 00:20:22,460
+this eye is closer to the red light
+
+287
+00:20:31,520 --> 00:20:34,300
+closer to the optical system than the red light
+
+288
+00:20:34,300 --> 00:20:36,380
+because the refractive index for the eye is higher
+
+289
+00:20:36,380 --> 00:20:39,140
+for the blue than for the green than for the red.
+
+290
+00:20:39,640 --> 00:20:44,920
+Okay. The night myopia happened to the white
+
+291
+00:20:44,920 --> 00:20:47,580
+wavelength which is contained on all this
+
+292
+00:20:47,580 --> 00:20:50,740
+spectrum, but for the blue it is stronger. The
+
+293
+00:20:50,740 --> 00:20:53,780
+night myopia is stronger and this contributes
+
+294
+00:20:53,780 --> 00:20:58,260
+further to night myopia.Spherical aberration
+
+295
+00:20:58,260 --> 00:21:05,960
+accounts
+
+296
+00:21:05,960 --> 00:21:19,720
+for
+
+297
+00:21:19,720 --> 00:21:23,500
+some cases of fluctuating vision following
+
+298
+00:21:23,500 --> 00:21:27,150
+keratorefractive surgery.Keratorefractive surgery
+
+299
+00:21:27,150 --> 00:21:30,490
+which
+
+300
+00:21:30,490 --> 00:21:34,030
+is laser, PRK, and similar operations that are
+
+301
+00:21:34,030 --> 00:21:40,170
+modified by correlation or interference in two
+
+302
+00:21:40,170 --> 00:21:42,730
+lenses to change the refractive error or correct
+
+303
+00:21:42,730 --> 00:21:45,110
+the refractive error and all of them are combined
+
+304
+00:21:45,110 --> 00:21:48,290
+under one title which is laser vision correction
+
+305
+00:21:52,050 --> 00:21:54,270
+One of the most famous operations is the Lasik
+
+306
+00:21:54,270 --> 00:21:57,510
+operation and PRK operation. Of course, the name
+
+307
+00:21:57,510 --> 00:22:00,210
+that was given to them is keratorefractive
+
+308
+00:22:00,210 --> 00:22:03,470
+surgery, which means the refraction operations
+
+309
+00:22:03,470 --> 00:22:06,450
+that occur on the cornea, kerato means cornea.
+
+310
+00:22:22,300 --> 00:22:25,620
+in the day it's good, 6 out of 6, at night it's
+
+311
+00:22:25,620 --> 00:22:29,040
+bad, it comes back the next day, it's good, in the
+
+312
+00:22:29,040 --> 00:22:33,280
+day .. so therefore the vision fluctuates between
+
+313
+00:22:33,280 --> 00:22:35,860
+good and bad, of course bad because of the
+
+314
+00:22:35,860 --> 00:22:39,380
+spherical aberration in the low light conditions,
+
+315
+00:22:39,420 --> 00:22:43,380
+in the low light condition normally the cornea is
+
+316
+00:22:43,380 --> 00:22:46,160
+flatter peripherally than centrally which
+
+317
+00:22:46,160 --> 00:22:51,220
+decreases spherical aberration okay, we say that a
+
+318
+00:22:51,220 --> 00:22:55,300
+personmeans that it is created in relation to the
+
+319
+00:22:55,300 --> 00:23:00,660
+edges more flat. Why? Because its force is less
+
+320
+00:23:00,660 --> 00:23:03,360
+than the central cornea. The central cornea
+
+321
+00:23:03,360 --> 00:23:08,060
+focuses on the retina, behind the axial rays. And
+
+322
+00:23:08,060 --> 00:23:11,120
+here, the peripheral cornea, if the force of the
+
+323
+00:23:11,120 --> 00:23:12,940
+cornea here is the same force in the central
+
+324
+00:23:12,940 --> 00:23:18,020
+retina, then the peripheral ray should shift to
+
+325
+00:23:18,020 --> 00:23:22,440
+the anterior focus, as shown in this drawing.ليه
+
+326
+00:23:22,440 --> 00:23:26,340
+أول رسم؟ هاي ال peripheral ray، هذي sphere تماما،
+
+327
+00:23:26,340 --> 00:23:29,460
+يعني التحدب هنا، نفس التحدب هنا، نفس التحدب هنا،
+
+328
+00:23:29,460 --> 00:23:33,520
+نفس التحدب هنا، كل نقاطها متحدبة بنفس القدر،
+
+329
+00:23:33,520 --> 00:23:37,060
+فبالتالي هذا ال spherical shape، ال total
+
+330
+00:23:37,060 --> 00:23:42,230
+spherical shapeبخل عندى تحدث spherical aberration,
+
+331
+00:23:42,350 --> 00:23:46,510
+spherical aberration يعني رب العالمين لما يعني خلق
+
+332
+00:23:46,510 --> 00:23:50,390
+الإنسان أحسن تقويمه لقد خلقنا الإنسان في أحسن
+
+333
+00:23:50,390 --> 00:23:55,260
+تقويم كانت الكورنيا flat peripherallyflat
+
+334
+00:23:55,260 --> 00:23:58,440
+peripherally يعني flat بمعنى إذا كان هنا قوتها
+
+335
+00:23:58,440 --> 00:24:01,460
+أربعة و أربعين ديوقتر هنا ممكن تكون تلاتة و أربعين
+
+336
+00:24:01,460 --> 00:24:05,060
+أو اتنين و أربعين و نص يعني أضعف كعدسة هذه المنطقة
+
+337
+00:24:05,060 --> 00:24:08,320
+و هذه المنطقة ال periphery of the cornea ليش؟ عشان
+
+338
+00:24:08,320 --> 00:24:13,170
+ماتقدرش تجمع الأشعة أمامthe retina, so that
+
+339
+00:24:13,170 --> 00:24:15,970
+everything is gathered in one point. If the retina
+
+340
+00:24:15,970 --> 00:24:18,490
+is peripherally flat and centrally more steep,
+
+341
+00:24:18,870 --> 00:24:22,050
+this delays or prevents or reduces the spherical
+
+342
+00:24:22,050 --> 00:24:25,030
+aberration, and the peripheral with the paraxial
+
+343
+00:24:25,030 --> 00:24:30,150
+rays gather in one point and reduce the spherical
+
+344
+00:24:30,150 --> 00:24:34,230
+aberration. Normally, in normal conditions, the
+
+345
+00:24:34,230 --> 00:24:37,610
+cornea is flatter peripherally than centrally,طبعا
+
+346
+00:24:37,610 --> 00:24:41,450
+هذا ايش فيته؟ هذا decreases spherical aberration
+
+347
+00:24:41,450 --> 00:24:43,810
+.. decreases spherical aberration ممكن انسان يقول
+
+348
+00:24:43,810 --> 00:24:46,990
+طب هنا احنا ال pupil هو اللي بيمنع اصلا ال
+
+349
+00:24:46,990 --> 00:24:50,770
+peripheral ray مش هتدخل مظبوط هنا لما يكون ال
+
+350
+00:24:50,770 --> 00:24:55,050
+pupil constricted ال peripheral ray مش هتدخل ففيش
+
+351
+00:24:55,050 --> 00:24:59,650
+spherical aberration بس من عظمة الخلق انه حتى في
+
+352
+00:24:59,650 --> 00:25:04,470
+الليل لما ال pupil بتوسعWhen the pupil expands and
+
+353
+00:25:04,470 --> 00:25:06,950
+enters the peripheral ray, which we called the
+
+354
+00:25:06,950 --> 00:25:10,710
+yellow color, even if the pupil is wide at night,
+
+355
+00:25:11,610 --> 00:25:15,150
+the focus will not change because the cornea here
+
+356
+00:25:15,150 --> 00:25:17,170
+is closed. The focus will not change because the
+
+357
+00:25:17,170 --> 00:25:23,110
+cornea here is closed. Now, some operations that
+
+358
+00:25:23,110 --> 00:25:27,790
+correct the vision increase the spherical
+
+359
+00:25:27,790 --> 00:25:30,960
+aberration. One of the most common operationswhich
+
+360
+00:25:30,960 --> 00:25:33,240
+causes the spherical aberration called radial
+
+361
+00:25:33,240 --> 00:25:37,340
+keratotomy. Radial keratotomy is the process of
+
+362
+00:25:37,340 --> 00:25:43,540
+coronal abrasion. This is what was discovered or
+
+363
+00:25:43,540 --> 00:25:46,200
+thought about in the beginning by Feodorov, the
+
+364
+00:25:46,200 --> 00:25:48,960
+Russian scientist Feodorov, a scientist of eye
+
+365
+00:25:48,960 --> 00:25:52,300
+medicine, who has a institute of eye medicine in
+
+366
+00:25:52,300 --> 00:25:54,100
+Moscow.
+
+367
+00:25:55,940 --> 00:25:58,820
+The injection process is what corrects the vision.
+
+368
+00:25:59,380 --> 00:26:04,060
+This process is a radial incision in the cornea.
+
+369
+00:26:04,580 --> 00:26:07,980
+This is one of the incisions. If we take a picture
+
+370
+00:26:07,980 --> 00:26:12,320
+of this, from the paracentral cornea, it does not
+
+371
+00:26:12,320 --> 00:26:13,800
+come to the center because it does not make a mess
+
+372
+00:26:13,800 --> 00:26:18,360
+in the vision. And it makes an incision, a cut. Of
+
+373
+00:26:18,360 --> 00:26:20,080
+course, the cut is not full thickness. That is,
+
+374
+00:26:20,480 --> 00:26:23,600
+the cut is about 70% to 80% of the corneal
+
+375
+00:26:23,600 --> 00:26:27,410
+thickness. The cut ends here.طبعا إيش هذا أهميته؟
+
+376
+00:26:27,410 --> 00:26:30,570
+هذا ال .. هذه طبعا هنا عامل تقريبا عشرة، واحد،
+
+377
+00:26:30,570 --> 00:26:33,630
+اتنين، تلاتة، أربعة، على ناحية التانية أربعة وعلى
+
+378
+00:26:33,630 --> 00:26:38,210
+تسعين فيه كمان اتنين، إذا في عشر ممكن توصل لستاش و
+
+379
+00:26:38,210 --> 00:26:41,790
+أحيانا بنعمل تمانية طيب إيش ال .. الأهمية بتاعة
+
+380
+00:26:41,790 --> 00:26:46,390
+إحداث تشطيبات في الكورية؟ إنه نعملها يسموها تشطيب
+
+381
+00:26:46,390 --> 00:26:51,140
+القرانيةTashteeb القرنية or Radial .. Radial لإنه
+
+382
+00:26:51,140 --> 00:26:56,380
+جاية كإنها radius كإنه نصف قطر فبالتالي إيش
+
+383
+00:26:56,380 --> 00:27:00,300
+الفايدة منها؟ إنه تضعف القرنية في المناطق هاي ليش
+
+384
+00:27:00,300 --> 00:27:03,620
+بدنا تضعف القرنية في المناطق هاي؟ عشان ضغط العين
+
+385
+00:27:03,620 --> 00:27:08,810
+من الداخل يدفعها للخارج فلما بيدفعها للخارجThe
+
+386
+00:27:08,810 --> 00:27:11,890
+central cornea becomes flat, as seen in this
+
+387
+00:27:11,890 --> 00:27:14,350
+picture, the pressure of the eye pushes it
+
+388
+00:27:14,350 --> 00:27:19,470
+outward, because it has become thin areas, and
+
+389
+00:27:19,470 --> 00:27:21,410
+most areas will be affected by the pressure of the
+
+390
+00:27:21,410 --> 00:27:21,610
+eye,
+
+391
+00:27:27,970 --> 00:27:29,950
+in the areas of wrinkles
+
+392
+00:27:32,960 --> 00:27:37,800
+and as a result of the intraocular pressure
+
+393
+00:27:37,800 --> 00:27:39,860
+pressure, the central cornea will become more
+
+394
+00:27:39,860 --> 00:27:44,340
+flat. This will heal to about 2 to 2.5 degrees and
+
+395
+00:27:44,340 --> 00:27:47,800
+sometimes more than myopia and sometimes more than
+
+396
+00:27:47,800 --> 00:27:50,780
+myopia. Of course, this process will stop now for
+
+397
+00:27:50,780 --> 00:27:55,160
+several reasons.It's not predictable. You can't
+
+398
+00:27:55,160 --> 00:28:02,500
+determine how much the story can
+
+399
+00:28:02,500 --> 00:28:04,100
+be corrected. Can it be corrected to a degree or
+
+400
+00:28:04,100 --> 00:28:06,300
+another degree? You can't control it at any point.
+
+401
+00:28:06,800 --> 00:28:11,020
+The second point is that we can't after that make
+
+402
+00:28:11,020 --> 00:28:13,320
+it difficult to measure the power of the lens if
+
+403
+00:28:13,320 --> 00:28:16,240
+this person or this eye has cataract after that
+
+404
+00:28:17,650 --> 00:28:20,010
+means that after the keratotomy, it becomes very
+
+405
+00:28:20,010 --> 00:28:22,670
+difficult or requires complicated calculations to
+
+406
+00:28:22,670 --> 00:28:26,150
+reach the correct lens strength. But our topic
+
+407
+00:28:26,150 --> 00:28:30,490
+today is that we said in the natural, the
+
+408
+00:28:30,490 --> 00:28:38,770
+peripheral cornea should beflatter than
+
+409
+00:28:38,770 --> 00:28:44,550
+the central cornea
+
+410
+00:28:50,480 --> 00:28:53,320
+Peripheral cornea is steep, so this will increase
+
+411
+00:28:53,320 --> 00:28:56,980
+the spherical aberration,
+
+412
+00:28:57,080 --> 00:28:59,200
+and this is the secret of the sentence high radial
+
+413
+00:28:59,200 --> 00:29:02,600
+keratotomy makes the cornea more spherical
+
+414
+00:29:02,600 --> 00:29:08,350
+increasing the spherical aberrationAlso, the laser
+
+415
+00:29:08,350 --> 00:29:11,110
+in situ keratomylosis, which is the laser, and the
+
+416
+00:29:11,110 --> 00:29:13,610
+photorefractive keratectomy, which is the PRK,
+
+417
+00:29:13,710 --> 00:29:16,570
+which is a type of laser vision correction, the
+
+418
+00:29:16,570 --> 00:29:18,810
+laser process and the PRK process, which is the
+
+419
+00:29:18,810 --> 00:29:22,250
+laser on the surface they call it, can make the
+
+420
+00:29:22,250 --> 00:29:25,150
+central cornea flatter than the peripheral cornea,
+
+421
+00:29:25,670 --> 00:29:30,030
+with the same view that we see, so this leads to
+
+422
+00:29:30,030 --> 00:29:35,440
+increased spherical aberration. So here we sayThe
+
+423
+00:29:35,440 --> 00:29:39,800
+spherical aberration is responsible for the
+
+424
+00:29:39,800 --> 00:29:43,040
+fluctuating vision between good and bad, good and
+
+425
+00:29:43,040 --> 00:29:46,900
+bad after keratorefractive surgery. All these
+
+426
+00:29:46,900 --> 00:29:49,900
+operations, whether radial keratotomy, which is
+
+427
+00:29:49,900 --> 00:29:52,320
+now stopped by the world to run it, or LASIK or
+
+428
+00:29:52,320 --> 00:29:55,000
+PRK, are all considered keratorefractive
+
+429
+00:29:55,000 --> 00:29:57,960
+procedures, keratorefractive procedures.
+
+430
+00:29:58,140 --> 00:30:06,680
+Therefore, this case must be clear.Here, when we
+
+431
+00:30:06,680 --> 00:30:09,980
+take an Arabic paragraph, this is before LASIK and
+
+432
+00:30:09,980 --> 00:30:11,840
+this is after LASIK, it is clear that the central
+
+433
+00:30:11,840 --> 00:30:14,540
+cornea became flat, so it became a challenge to
+
+434
+00:30:14,540 --> 00:30:15,640
+the peripheral cornea
+
+435
+00:30:18,910 --> 00:30:24,190
+in general, the effect of spherical
+
+436
+00:30:24,190 --> 00:30:33,690
+aberration
+
+437
+00:30:33,690 --> 00:30:37,770
+increases as the force power of the pupil diameter
+
+438
+00:30:38,560 --> 00:30:41,500
+Doubling pupil diameter increases spherical
+
+439
+00:30:41,500 --> 00:30:46,200
+aberration 16 times ما .. ما معنا هذا الكلام؟ نطلع
+
+440
+00:30:46,200 --> 00:30:54,000
+على ال calculator بنقول كالقاعدى لو افترضنا انه في
+
+441
+00:30:54,000 --> 00:31:02,520
+وضعية .. و البقبق في وضع الطبيعي في النهار البقبق
+
+442
+00:31:02,520 --> 00:31:04,180
+في وضع الطبيعي في النهار
+
+443
+00:31:06,740 --> 00:31:08,780
+The natural state of the owl is that it is not
+
+444
+00:31:08,780 --> 00:31:11,600
+enlarged due to the presence of high light, which
+
+445
+00:31:11,600 --> 00:31:15,880
+is the rays of the sun or light in general Let's
+
+446
+00:31:15,880 --> 00:31:18,220
+assume that in this state there is spherical
+
+447
+00:31:18,220 --> 00:31:20,780
+aberration, but its quantity is small and caused
+
+448
+00:31:20,780 --> 00:31:25,600
+by a myopia whose amount is minus a quarter of a
+
+449
+00:31:25,600 --> 00:31:28,860
+diopter. Not many people will feel it So in the
+
+450
+00:31:28,860 --> 00:31:33,700
+state of the size of the owl like thisPupil
+
+451
+00:31:33,700 --> 00:31:36,760
+diameter is 3 mm
+
+452
+00:31:43,890 --> 00:31:45,950
+you enter a little bit of peripheral rays, it will
+
+453
+00:31:45,950 --> 00:31:48,890
+make an aberration, spherical aberration, it will
+
+454
+00:31:48,890 --> 00:31:51,710
+lead to a myopia of a quarter of a diopter, not
+
+455
+00:31:51,710 --> 00:31:53,870
+very significant, meaning retina here, for
+
+456
+00:31:53,870 --> 00:31:57,350
+example, and the focus, the best focus here, a
+
+457
+00:31:57,350 --> 00:32:01,270
+person will not feel it much, so you have a 3 mm
+
+458
+00:32:01,270 --> 00:32:04,090
+bulb, the spherical aberration is a quarter of it,
+
+459
+00:32:04,250 --> 00:32:06,770
+okay, let's assume that with Morocco, the bulb
+
+460
+00:32:06,770 --> 00:32:10,710
+became 6
+
+461
+00:32:10,710 --> 00:32:15,440
+mm in size6 millimeters means it doubled twice so
+
+462
+00:32:15,440 --> 00:32:19,520
+the bubble at night or in the dark is 6
+
+463
+00:32:19,520 --> 00:32:25,880
+millimeters okay 6 millimeters so
+
+464
+00:32:25,880 --> 00:32:29,380
+the amount of duplication in the bubble became
+
+465
+00:32:29,380 --> 00:32:34,920
+double how much increased the spherical aberration
+
+466
+00:32:34,920 --> 00:32:40,660
+the spherical aberration shortened SA increased in
+
+467
+00:32:40,660 --> 00:32:46,480
+amount The increase in
+
+468
+00:32:46,480 --> 00:32:54,140
+pupil diameter Pupil
+
+469
+00:32:54,140 --> 00:33:00,220
+diameter Equals
+
+470
+00:33:00,220 --> 00:33:08,480
+to 4 Equals to 4 How much did it increase? It
+
+471
+00:33:08,480 --> 00:33:12,200
+doubled So the spherical aberration hereThe
+
+472
+00:33:12,200 --> 00:33:17,800
+spherical aberration is equal to... The parrot
+
+473
+00:33:17,800 --> 00:33:27,920
+doubled twice 4 times which is equal to 16 Look at
+
+474
+00:33:27,920 --> 00:33:38,280
+the calculator The
+
+475
+00:33:38,280 --> 00:33:39,520
+parrot doubled twice
+
+476
+00:33:45,250 --> 00:33:50,210
+4 times equals 16 times what is 16 times? it is
+
+477
+00:33:50,210 --> 00:33:51,990
+the percentage of increase in the operation it
+
+478
+00:33:51,990 --> 00:33:58,010
+means that the diopter when it was 3 times
+
+479
+00:33:58,010 --> 00:34:01,850
+increased 16 times so let's see how much myopia
+
+480
+00:34:01,850 --> 00:34:11,030
+will give me we say as follows quarter
+
+481
+00:34:11,030 --> 00:34:13,430
+times 16
+
+482
+00:34:16,820 --> 00:34:21,320
+بساوية أربعة ديوبتر ميوبيا في الليل هذا الرجل أو
+
+483
+00:34:21,320 --> 00:34:27,000
+هذه العين أصبح عندها spherical aberration تحدثلها
+
+484
+00:34:27,000 --> 00:34:30,880
+ميوبيا مقدارها minus أربعة ديوبتر، و هذه شيء مشكلة
+
+485
+00:34:30,880 --> 00:34:35,820
+عظيمة جدا، مشكلة عظيمة جدا، ناخد مثال آخر، بس هروح
+
+486
+00:34:35,820 --> 00:34:39,680
+على صفحة جديدة
+
+487
+00:34:53,980 --> 00:34:59,600
+we say this is an example of course and these
+
+488
+00:34:59,600 --> 00:35:02,720
+examples can come in exams we say the pupil
+
+489
+00:35:02,720 --> 00:35:08,200
+diameter we say diameter in short in day in light
+
+490
+00:35:08,200 --> 00:35:12,440
+is
+
+491
+00:35:12,440 --> 00:35:18,980
+equal to four millimeters meters
+
+492
+00:35:18,980 --> 00:35:25,380
+the aberrations the spherical aberrationsin this
+
+493
+00:35:25,380 --> 00:35:31,400
+pupil it will be minus for example two out of ten
+
+494
+00:35:31,400 --> 00:35:45,640
+diopters in dark, diameter dark the
+
+495
+00:35:45,640 --> 00:35:48,200
+pupil will be six millimeters at this man or this
+
+496
+00:35:48,200 --> 00:35:53,510
+eye six millimetersSo, how many times do we need
+
+497
+00:35:53,510 --> 00:36:00,170
+to calculate aberrations in darkness?
+
+498
+00:36:00,890 --> 00:36:03,050
+We say as usual, the first thing is to multiply
+
+499
+00:36:03,050 --> 00:36:07,370
+times and a half The aberrations will be
+
+500
+00:36:07,370 --> 00:36:11,490
+multiplied by how many times and a half divided by
+
+501
+00:36:11,490 --> 00:36:15,410
+four And
+
+502
+00:36:15,410 --> 00:36:19,970
+it equals, we go to the calculator, we say here
+
+503
+00:36:19,970 --> 00:36:28,020
+one and a half1.5 times 4
+
+504
+00:36:28,020 --> 00:36:31,660
+is equal
+
+505
+00:36:31,660 --> 00:36:42,560
+to 5.6
+
+506
+00:36:42,560 --> 00:36:45,440
+this is the amount of multiplication in the
+
+507
+00:36:45,440 --> 00:36:50,040
+aberration the aberration is basically minus 2 out
+
+508
+00:36:50,040 --> 00:36:54,740
+of 10 diopters let's see how much will happentwo
+
+509
+00:36:54,740 --> 00:36:56,580
+out of ten, of course the minus sign we will put
+
+510
+00:36:56,580 --> 00:37:04,120
+later, times five or six out of one hundred and
+
+511
+00:37:04,120 --> 00:37:07,480
+it equals so you will give me approximately one
+
+512
+00:37:07,480 --> 00:37:12,020
+diopter of myopia so you will give me
+
+513
+00:37:12,020 --> 00:37:18,080
+approximately one diopter of myopia so
+
+514
+00:37:18,080 --> 00:37:19,880
+I have the aberrations
+
+515
+00:37:22,580 --> 00:37:25,100
+it will double five times and a little bit, here
+
+516
+00:37:25,100 --> 00:37:27,700
+two out of ten will become one, correct, so minus
+
+517
+00:37:27,700 --> 00:37:32,280
+one diopter myopia, approximately, so this if it
+
+518
+00:37:32,280 --> 00:37:34,320
+increases once and a half, if it increases twice
+
+519
+00:37:34,320 --> 00:37:36,960
+it will be more, always the aberration increases
+
+520
+00:37:36,960 --> 00:37:40,080
+with the amount of the fourth force, increases
+
+521
+00:37:40,080 --> 00:37:42,840
+with the amount of the fourth force, the fourth
+
+522
+00:37:42,840 --> 00:37:45,300
+axis to the amount of increase in the pupillary
+
+523
+00:37:45,300 --> 00:37:51,730
+diameter, soDoubling or in general the effect of
+
+524
+00:37:51,730 --> 00:37:58,650
+spherical aberration increases as
+
+525
+00:37:58,650 --> 00:38:02,500
+the fourth power of the pupil diameterdoubling,
+
+526
+00:38:02,660 --> 00:38:05,440
+doubling the pupil diameter, if the pupil
+
+527
+00:38:05,440 --> 00:38:07,760
+increases to double, the aberrations will increase
+
+528
+00:38:07,760 --> 00:38:12,380
+from their original position to 16 times because 2
+
+529
+00:38:12,380 --> 00:38:16,020
+plus 4 equals 2 times 2 times 2 times 2 equals 16
+
+530
+00:38:16,020 --> 00:38:20,240
+thus a small change in pupil size can cause a
+
+531
+00:38:20,240 --> 00:38:23,320
+significant change in refraction and this makes a
+
+532
+00:38:23,320 --> 00:38:27,760
+lazy person happy during the day but very tired at
+
+533
+00:38:27,760 --> 00:38:42,490
+nightLaser vision corrections should be considered
+
+534
+00:38:42,490 --> 00:38:46,270
+in patients who have fluctuating vision despite
+
+535
+00:38:46,270 --> 00:38:49,910
+stable K readings.and well-healed corneas
+
+536
+00:38:49,910 --> 00:38:53,170
+following keratorefractive surgery. When we
+
+537
+00:38:53,170 --> 00:38:57,330
+examine a person after keratorefractive surgery,
+
+538
+00:38:57,470 --> 00:39:01,050
+such as LASIK or PRK, and we are not happy, and we
+
+539
+00:39:01,050 --> 00:39:04,070
+examined him with K1 and K2, his cornea is stable,
+
+540
+00:39:04,310 --> 00:39:06,930
+today we examined him after a month, after two
+
+541
+00:39:06,930 --> 00:39:10,440
+months, he is stable, there is no change.and the
+
+542
+00:39:10,440 --> 00:39:13,500
+patient was treated after the laser operation in
+
+543
+00:39:13,500 --> 00:39:17,300
+an excellent way and he is not happy, we have to
+
+544
+00:39:17,300 --> 00:39:20,240
+take into account the case of night myopia because
+
+545
+00:39:20,240 --> 00:39:22,660
+of the spherical aberration because of the
+
+546
+00:39:22,660 --> 00:39:27,320
+spherical aberration, so this case must be clear
+
+547
+00:39:27,320 --> 00:39:30,900
+let's talk about the last topic in geometric
+
+548
+00:39:30,900 --> 00:39:34,300
+optics with us which is the chromatic aberration
+
+549
+00:39:36,860 --> 00:39:40,580
+من اسمها يعني الزيغ اللوني، الزيغ اللوني بنقول
+
+550
+00:39:40,580 --> 00:39:44,260
+thus far in our analysis of aberrations لما
+
+551
+00:39:44,260 --> 00:39:46,660
+اتحدثنا عن ال spherical aberration, we have
+
+552
+00:39:46,660 --> 00:39:50,160
+ignored the effect of wavelengths ماكناش نفرج بين
+
+553
+00:39:50,160 --> 00:39:53,140
+blue wavelengths أو red wavelengths أو green
+
+554
+00:39:53,140 --> 00:39:56,580
+wavelengths، ماكننا نفرج منهمOphthalmic lenses and
+
+555
+00:39:56,580 --> 00:40:01,280
+the human eye are often treated as they focus all
+
+556
+00:40:01,280 --> 00:40:04,020
+wavelengths identically, but this is not true.
+
+557
+00:40:08,620 --> 00:40:11,280
+Most lenses
+
+558
+00:40:21,020 --> 00:40:24,720
+introduce dispersion. Dispersion in the human eye
+
+559
+00:40:24,720 --> 00:40:27,280
+causes chromatic aberration. A chromatic
+
+560
+00:40:27,280 --> 00:40:31,080
+aberration in which blue light focuses in front of
+
+561
+00:40:31,080 --> 00:40:34,180
+red light.يعني لما تضوء ال white light بيدخل لعين
+
+562
+00:40:34,180 --> 00:40:38,460
+الإنسان بما إنها optical system وإله كثافات متعددة
+
+563
+00:40:38,460 --> 00:40:42,390
+ومختلفة ال cornea بتختلف كثافتها عن ال ACAquarius
+
+564
+00:40:42,390 --> 00:40:45,590
+is different from Crystalline lens and vitreous is
+
+565
+00:40:45,590 --> 00:40:53,790
+different from Crystalline
+
+566
+00:40:53,790 --> 00:40:56,650
+lens and vitreous is different from Crystalline
+
+567
+00:40:56,650 --> 00:40:57,430
+lens and vitreous is different from Crystalline
+
+568
+00:40:57,430 --> 00:40:57,450
+lens and vitreous is different from Crystalline
+
+569
+00:40:57,450 --> 00:40:57,450
+lens and vitreous is different from Crystalline
+
+570
+00:40:57,450 --> 00:40:57,470
+lens and vitreous is different from Crystalline
+
+571
+00:40:57,470 --> 00:40:57,470
+lens and vitreous is different from Crystalline
+
+572
+00:40:57,470 --> 00:40:57,470
+lens and vitreous is different from Crystalline
+
+573
+00:40:57,470 --> 00:40:57,470
+lens and vitreous is different from Crystalline
+
+574
+00:40:57,470 --> 00:40:57,690
+lens and vitreous is different from Crystalline
+
+575
+00:40:57,690 --> 00:40:57,970
+lens and vitreous is different from Crystalline
+
+576
+00:40:57,970 --> 00:40:57,970
+lens and vitreous is different from Crystalline
+
+577
+00:40:57,970 --> 00:40:58,010
+lens and vitreous is different from Crystalline
+
+578
+00:40:58,010 --> 00:40:58,010
+lens and vitreous is different from Crystalline
+
+579
+00:40:58,010 --> 00:40:58,010
+lens and vitreous is different from Crystalline
+
+580
+00:40:58,010 --> 00:40:58,010
+lens and vitreous is different from Crystalline
+
+581
+00:40:58,010 --> 00:41:08,970
+lens and vitreous is different from Crystalline
+
+582
+00:41:08,970 --> 00:41:11,090
+lens and vitreous is different from CrystThe
+
+583
+00:41:11,090 --> 00:41:14,390
+difference between the blue and red foci is about
+
+584
+00:41:14,390 --> 00:41:34,870
+half a diopter
+
+585
+00:41:35,730 --> 00:41:38,730
+Okay, if you imagine the opposite, that the blue
+
+586
+00:41:38,730 --> 00:41:41,170
+light is fixed, it will not be affected by the
+
+587
+00:41:41,170 --> 00:41:43,690
+lens that I put, and I put plus and a half, there
+
+588
+00:41:43,690 --> 00:41:45,750
+at the beginning I put minus and a half, it
+
+589
+00:41:45,750 --> 00:41:48,970
+returned to the focus and left it at the red If I
+
+590
+00:41:48,970 --> 00:41:51,470
+put plus and a half and I imagine that the blue is
+
+591
+00:41:51,470 --> 00:41:57,220
+fixedال Red هيقدم بال plus نص هتجمعه في مسافة أقرب
+
+592
+00:41:57,220 --> 00:42:01,020
+فهيصير hand ل blue، اذا الفرق بين ال blue focus و
+
+593
+00:42:01,020 --> 00:42:07,300
+ال red focus هو نص ديوبتر كقيمة، كقيمة in the
+
+594
+00:42:07,300 --> 00:42:11,260
+average eyeBut maybe much greater, it can be more
+
+595
+00:42:11,260 --> 00:42:13,820
+than half a diopter, but usually the difference is
+
+596
+00:42:13,820 --> 00:42:16,800
+between the two foci, the red focus and the blue
+
+597
+00:42:16,800 --> 00:42:19,720
+focus, or the blue wavelength focus and the red
+
+598
+00:42:19,720 --> 00:42:25,570
+wavelength focus is half a diopterEven if all
+
+599
+00:42:25,570 --> 00:42:28,970
+monochromatic aberrations could be compensated for
+
+600
+00:42:28,970 --> 00:42:32,510
+or eliminated by contact lenses or refractive
+
+601
+00:42:32,510 --> 00:42:35,390
+surgery, chromatic aberration and diffraction
+
+602
+00:42:35,390 --> 00:42:38,290
+would still limit the optical resolving power of
+
+603
+00:42:38,290 --> 00:42:38,630
+the eye.
+
+604
+00:43:06,450 --> 00:43:09,970
+No, this is called monochromatic aberration It's
+
+605
+00:43:09,970 --> 00:43:13,070
+like one light, one color, without multiple colors
+
+606
+00:43:13,070 --> 00:43:17,950
+So if I can get rid of spherical aberration with
+
+607
+00:43:17,950 --> 00:43:25,310
+contact lens or kerato refractive procedure So if
+
+608
+00:43:25,310 --> 00:43:29,310
+I can get rid of monochromatic aberration
+
+609
+00:43:31,660 --> 00:43:33,700
+Either it's the taglines or the modern refractive
+
+610
+00:43:33,700 --> 00:43:37,480
+surgery, the chromatic aberration and diffraction
+
+611
+00:43:37,480 --> 00:43:41,920
+are still restricting me from resolving the power
+
+612
+00:43:41,920 --> 00:43:46,140
+of the eye to be ideal It's true that it's
+
+613
+00:43:46,140 --> 00:43:49,740
+improved, but because of the chromatic aberration
+
+614
+00:43:49,740 --> 00:43:53,860
+and diffraction, there's still a kind of
+
+615
+00:43:53,860 --> 00:43:59,970
+limitationThe ability of the eye to see and the
+
+616
+00:43:59,970 --> 00:44:03,990
+quality of vision This example explains to me how
+
+617
+00:44:03,990 --> 00:44:07,010
+the chromatic aberration looks like I explain the
+
+618
+00:44:07,010 --> 00:44:09,670
+color hallucinations around the picture, that is,
+
+619
+00:44:09,670 --> 00:44:11,610
+the author of the topic is a chromatic aberration
+
+620
+00:44:11,610 --> 00:44:15,850
+and he imagines himself to give me a chromatic
+
+621
+00:44:15,850 --> 00:44:17,870
+aberration simulation Sometimes when we look with
+
+622
+00:44:17,870 --> 00:44:20,770
+the naked eye, if there is a lot of chromatic
+
+623
+00:44:20,770 --> 00:44:23,970
+aberration, or through the lens of the glassesOr
+
+624
+00:44:23,970 --> 00:44:26,970
+through any optical system, we can see color halos
+
+625
+00:44:26,970 --> 00:44:32,490
+as we see Also here when we test the vision, this
+
+626
+00:44:32,490 --> 00:44:36,390
+is the letter E and the E chart Here there is a
+
+627
+00:44:36,390 --> 00:44:39,010
+little chromatic aberration, here there is more
+
+628
+00:44:39,010 --> 00:44:42,030
+chromatic aberration, here the chromatic
+
+629
+00:44:42,030 --> 00:44:47,150
+aberration is not present So this is the case, of
+
+630
+00:44:47,150 --> 00:44:52,630
+courseممكن أحدث هذه بواسطة بريزمات متعددة القوة،
+
+631
+00:44:52,630 --> 00:44:57,650
+بريزم خفيف القوة مثلا، هنا بريزم يعني عالي القوة،
+
+632
+00:44:57,650 --> 00:45:02,930
+هنا بدون بريزم without the prism، فبنلاقي أنه ال
+
+633
+00:45:02,930 --> 00:45:06,450
+aberration أقل، ال aberration أقلزي الـ prism أحدث
+
+634
+00:45:06,450 --> 00:45:10,130
+لـ chromatic aberration أي عدسة نضارة ممكن تحدث
+
+635
+00:45:10,130 --> 00:45:15,110
+لهذه القضية طيب كيف نتخلص من ال aberration من ال
+
+636
+00:45:15,110 --> 00:45:18,630
+chromatic aberration بعملية اسمها ال chromatic
+
+637
+00:45:18,630 --> 00:45:22,290
+compensation ال chromatic compensation is common
+
+638
+00:45:22,290 --> 00:45:26,390
+in microscope, telescope, camera lenses بمعنى أخر
+
+639
+00:45:26,390 --> 00:45:31,000
+الميكросكبات تستخدم فيه العملياتOr in factories,
+
+640
+00:45:31,520 --> 00:45:35,720
+telescopes used in space science, and some lenses
+
+641
+00:45:35,720 --> 00:45:40,140
+for sensitive cameras, they take into account that
+
+642
+00:45:40,140 --> 00:45:42,200
+they do chromatic compensation, they don't let
+
+643
+00:45:42,200 --> 00:45:46,480
+them make additions where there is no chromatic
+
+644
+00:45:46,480 --> 00:45:49,740
+aberrationbut it is not yet available in
+
+645
+00:45:49,740 --> 00:45:52,460
+spectacled contact or intraocular lenses. The
+
+646
+00:45:52,460 --> 00:45:56,240
+chromatic compensation is not yet available in
+
+647
+00:45:56,240 --> 00:45:59,820
+spectacled contact lenses or intraocular lenses
+
+648
+00:45:59,820 --> 00:46:03,480
+that are planted in the place where the
+
+649
+00:46:03,480 --> 00:46:07,440
+crystalline lens is removed during the cataract
+
+650
+00:46:07,440 --> 00:46:10,560
+operation. Okay, if it is not available, how do we
+
+651
+00:46:10,560 --> 00:46:14,710
+solve the problem of chromatic aberration?بنشوف أي
+
+652
+00:46:14,710 --> 00:46:18,430
+.. أي هالة لونية أكثر إزعاجا هي ال .. هي ال ..
+
+653
+00:46:18,430 --> 00:46:22,390
+الزرقاء و لا ال red و لا ال green و بنعملها
+
+654
+00:46:22,390 --> 00:46:25,550
+blocking و بنعملها blocking في عندنا blue blocking
+
+655
+00:46:25,550 --> 00:46:30,170
+lenses أو glasses، red blocking glasses و other
+
+656
+00:46:30,170 --> 00:46:34,150
+colored sunglasses improve visual acuity by
+
+657
+00:46:34,150 --> 00:46:36,810
+decreasing chromatic aberration مابتنهيش ل
+
+658
+00:46:36,810 --> 00:46:39,690
+chromatic aberration و أنما بتشيل منها أكثر
+
+659
+00:46:39,690 --> 00:46:44,440
+wavelengths إزعاجا للمريضممتاز، هذا شيء رائع، آه
+
+660
+00:46:44,440 --> 00:46:48,320
+بس إله ثمن، هذا الشيء الرائع، إله ثمن، اللي هو إيش
+
+661
+00:46:48,320 --> 00:46:52,100
+الثمن، they do so however at the cost of reducing
+
+662
+00:46:52,100 --> 00:46:55,000
+the color content of the perceived image، يعني
+
+663
+00:46:55,000 --> 00:46:59,160
+بيصير كمية اللون في ال image اللي أنا ماخدها أقل
+
+664
+00:46:59,160 --> 00:47:03,100
+من وضعها في الطبيعي، أقل من وضعها في الطبيعي، شوف
+
+665
+00:47:03,100 --> 00:47:08,460
+هنا الصورة، هاي camera، هنا في عندي شوية
+
+666
+00:47:08,460 --> 00:47:13,220
+aberrations, chromatic aberrationsوهنا بدون .. or
+
+667
+00:47:13,220 --> 00:47:16,300
+corrected .. يعني هنا strong chromatic
+
+668
+00:47:16,300 --> 00:47:21,440
+aberrations، فيه حالات لونية حول صورة الفهد، إذا
+
+669
+00:47:21,440 --> 00:47:26,380
+بندجق فيها، بنشوفها، هنا واضحة جدا طبعا، بس كمية
+
+670
+00:47:26,380 --> 00:47:31,670
+اللون، كمية اللون أقلكمية اللون في الصورة أقل كمية
+
+671
+00:47:31,670 --> 00:47:34,970
+اللون في الصورة أقل لازال
+
+672
+00:47:34,970 --> 00:47:41,290
+فيها لون بس أقل من الصورة اللي في الوضع الأساسي
+
+673
+00:47:41,290 --> 00:47:41,290
+لازال فيها لون بس أقل من الصورة اللي في الوضع
+
+674
+00:47:41,290 --> 00:47:41,410
+الأساسي لازال فيها لون بس أقل من الصورة اللي في
+
+675
+00:47:41,410 --> 00:47:44,090
+الوضع الأساسي هنا الصورة يعني بتبين الوضع أكتر من
+
+676
+00:47:44,090 --> 00:47:47,930
+صورة الفهد هنا جذع الشجرة هنا قبل ال correction
+
+677
+00:47:47,930 --> 00:47:50,690
+for a chromatic aberration واضح الهالات اللونية
+
+678
+00:47:50,690 --> 00:47:55,910
+واضح الهالات اللونية و هنا after after correction
+
+679
+00:47:55,910 --> 00:47:57,410
+of a chromatic aberration
+
+680
+00:48:01,170 --> 00:48:03,890
+But the amount of color, if we notice, is less
+
+681
+00:48:03,890 --> 00:48:06,850
+than the picture before correcting the chromatic
+
+682
+00:48:06,850 --> 00:48:09,410
+aberration of course, this is of course for blue
+
+683
+00:48:09,410 --> 00:48:13,670
+blocking, glasses and regular sunglasses, all
+
+684
+00:48:13,670 --> 00:48:17,310
+these help in decreasing aberration, but according
+
+685
+00:48:17,310 --> 00:48:22,200
+to ..المحتوى اللونى بتاع ال perceived image بتاع
+
+686
+00:48:22,200 --> 00:48:26,600
+ال perceived image هنا احنا بتنتهي مادة ال
+
+687
+00:48:26,600 --> 00:48:30,240
+geometric optics ويعطيكم العافية والسلام عليكم
+
+688
+00:48:30,240 --> 00:48:32,140
+ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/TU2A-S6Meww.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/TU2A-S6Meww.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d2c887230eb2c9f0c1718b71272c70058434acb9
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/TU2A-S6Meww.srt
@@ -0,0 +1,1798 @@
+
+1
+00:00:01,520 --> 00:00:05,180
+بسم الله الرحمن الرحيم، بنواصل مع محاضرات الـ
+
+2
+00:00:05,180 --> 00:00:09,300
+Geometric Optics، وشرحنا المرة الماضية ظاهرة الـ
+
+3
+00:00:09,300 --> 00:00:13,080
+Total Internal Reflection، وقولنا هاي بتحدث لما
+
+4
+00:00:13,080 --> 00:00:17,960
+بيسقط الضوء من مادة أعلى في ال refractive index
+
+5
+00:00:17,960 --> 00:00:22,830
+لمادة أقل في ال refractive index and its fall angle
+
+6
+00:00:22,830 --> 00:00:27,150
+is greater than the critical angle. So, each ray
+
+7
+00:00:27,150 --> 00:00:32,310
+falls from a higher substance in the density or
+
+8
+00:00:32,310 --> 00:00:35,070
+refractive index to a lower substance in the
+
+9
+00:00:35,070 --> 00:00:40,110
+density or refractive index and its fall angle is
+
+10
+00:00:40,110 --> 00:00:43,050
+greater than the critical angle and it is
+
+11
+00:00:43,050 --> 00:00:45,230
+reflected inside the substance that came from it
+
+12
+00:00:45,230 --> 00:00:48,770
+and this phenomenon is called the total internal
+
+13
+00:00:48,770 --> 00:00:53,410
+reflection. The total internal reflection is rather
+
+14
+00:00:53,410 --> 00:00:59,470
+curious phenomenon, ظاهرة غريبة لو احنا حكينا انه
+
+15
+00:00:59,470 --> 00:01:04,950
+في عندنا ضوء بيسقط from spectacular crown glass to
+
+16
+00:01:04,950 --> 00:01:08,970
+air if the angle of incidence is 10 degree the
+
+17
+00:01:08,970 --> 00:01:12,350
+light transmits easily as it crosses the interface
+
+18
+00:01:12,350 --> 00:01:16,910
+however if the angle of incidence is 45 degree the
+
+19
+00:01:16,910 --> 00:01:21,190
+interface becomes an impenetrable barrier to the
+
+20
+00:01:21,190 --> 00:01:25,330
+interface, or impenetrable barrier, the interface
+
+21
+00:01:25,330 --> 00:01:28,290
+is transparent to some rays and opaque to other
+
+22
+00:01:28,290 --> 00:01:34,130
+rays. Because of this, we see that we need to go
+
+23
+00:01:34,130 --> 00:01:39,850
+back to our simulation and say that if the light
+
+24
+00:01:39,850 --> 00:01:43,610
+falls from the glass, which is a higher substance
+
+25
+00:01:43,610 --> 00:01:48,660
+in density, to the air, which is less dense matter,
+
+26
+00:01:48,800 --> 00:01:52,540
+if the angle of fall, let's see the angle of fall,
+
+27
+00:01:53,480 --> 00:01:58,320
+if the angle of fall is 10 degrees
+
+28
+00:02:06,510 --> 00:02:08,770
+this is the angle of fall of 10 degrees which is
+
+29
+00:02:08,770 --> 00:02:10,730
+between the service normal and the falling rays
+
+30
+00:02:10,730 --> 00:02:14,890
+the rays pass through easily and of course they
+
+31
+00:02:14,890 --> 00:02:17,370
+move away from the service normal this is the
+
+32
+00:02:17,370 --> 00:02:20,670
+angle of transmission or short circuit of 15.1
+
+33
+00:02:20,670 --> 00:02:24,990
+degrees if we increase the angle of fall to 45
+
+34
+00:02:24,990 --> 00:02:25,770
+degrees
+
+35
+00:02:33,110 --> 00:02:35,090
+Forty-five degrees, not even a ray passed through,
+
+36
+00:02:35,290 --> 00:02:37,910
+not even a group of rays passed through because
+
+37
+00:02:37,910 --> 00:02:41,530
+the forty-five degrees is more than the critical
+
+38
+00:02:41,530 --> 00:02:43,930
+angle, which we calculated in the previous lecture
+
+39
+00:02:43,930 --> 00:02:46,290
+between air and gas, which is approximately forty
+
+40
+00:02:46,290 --> 00:02:50,290
+-one degrees. Approximately forty-one degrees. So
+
+41
+00:02:50,290 --> 00:02:54,250
+this is the case means an example that explains to
+
+42
+00:02:54,250 --> 00:02:58,870
+me the topic of total internal reflection Of
+
+43
+00:02:58,870 --> 00:03:01,270
+course, a person can ask himself, if some things
+
+44
+00:03:01,270 --> 00:03:08,030
+fall at an angle of fall more than the critical
+
+45
+00:03:08,030 --> 00:03:10,730
+angle and some at an angle of fall less than the
+
+46
+00:03:10,730 --> 00:03:13,970
+critical angle we say, who falls at an angle of
+
+47
+00:03:13,970 --> 00:03:17,110
+fall less than the critical angle, he passes who
+
+48
+00:03:17,110 --> 00:03:20,960
+falls at an angle of fall more than the critical
+
+49
+00:03:20,960 --> 00:03:23,860
+angle, it will decrease In other words, the mass
+
+50
+00:03:23,860 --> 00:03:26,540
+of the rays and millions of rays coming from the
+
+51
+00:03:26,540 --> 00:03:28,900
+light source, some of them will have a small angle
+
+52
+00:03:28,900 --> 00:03:31,980
+of fall less than the critical angle, so it will
+
+53
+00:03:31,980 --> 00:03:34,440
+pass, it will pass to the other substance, and
+
+54
+00:03:34,440 --> 00:03:37,620
+some of the rays will have a small angle of fall
+
+55
+00:04:01,130 --> 00:04:05,560
+Physicists have devoted a great deal Attention to
+
+56
+00:04:05,560 --> 00:04:09,020
+this phenomenon طبعا استفادوا العلماء من ظاهرة ال
+
+57
+00:04:09,020 --> 00:04:12,700
+total internal reflection من قديم الزمان وحتى
+
+58
+00:04:12,700 --> 00:04:16,600
+عصرنا الحالي استفادات كثيرة واهتموا فيها اهتمام
+
+59
+00:04:16,600 --> 00:04:21,960
+كثير Total internal reflection has a great
+
+60
+00:04:21,960 --> 00:04:23,060
+practical value
+
+61
+00:04:25,610 --> 00:04:29,150
+in early 1600 it was difficult to make a good
+
+62
+00:04:29,150 --> 00:04:32,270
+mirror المرأة اللي احنا كل يوم بنوجف أمامها قبل
+
+63
+00:04:32,270 --> 00:04:37,090
+خروجنا من بيوتنا و بنشوف صورتنا بشكل واضح جدا فيها
+
+64
+00:04:37,090 --> 00:04:44,830
+زمان في سنوات القرن السابع عشر و 1600 و لجاى كان
+
+65
+00:04:44,830 --> 00:04:48,470
+صعب جدا تصنيع مرأة ب good quality زي اللي موجودة
+
+66
+00:04:48,470 --> 00:04:53,440
+في عصرنا الحالي The best services could specularly
+
+67
+00:04:53,440 --> 00:04:58,200
+reflect only about 80% of incident light.
+
+68
+00:05:02,620 --> 00:05:06,140
+It was reflecting or giving a regular reflection
+
+69
+00:05:06,140 --> 00:05:09,820
+of 80% of the rays hitting it. Well, the remaining
+
+70
+00:05:09,820 --> 00:05:14,800
+20% is reflected diffusely, so it ruins the
+
+71
+00:05:14,800 --> 00:05:19,740
+picture and ruins the 80% that was reflected from
+
+72
+00:05:19,740 --> 00:05:23,040
+the rays in a regular way. In other words, if I'm
+
+73
+00:05:23,040 --> 00:05:26,120
+standing in front of a mirror and my picture, the
+
+74
+00:05:26,120 --> 00:05:28,080
+light falls on it, then it is reflected towards
+
+75
+00:05:28,080 --> 00:05:31,730
+the mirror to see my picture The old modern mirrors
+
+76
+00:05:31,730 --> 00:05:37,810
+1600 and above reflect from the image or from the
+
+77
+00:05:37,810 --> 00:05:43,990
+incident light 80% in a spherical way and 20% in a
+
+78
+00:05:43,990 --> 00:05:48,430
+diffuse way, meaning randomly, these 20% it will
+
+79
+00:05:48,430 --> 00:05:51,110
+distort a lot and create a bad quality of the
+
+80
+00:05:51,110 --> 00:05:56,290
+image which is distorted and the rest was
+
+81
+00:05:56,290 --> 00:05:59,510
+diffusely reflected which made these services
+
+82
+00:05:59,510 --> 00:06:04,190
+nearly useless as imaging devices that's why using
+
+83
+00:06:04,190 --> 00:06:07,890
+it as a mirror to get a picture that was useless
+
+84
+00:06:07,890 --> 00:06:13,110
+what did they use instead of that? they took
+
+85
+00:06:13,110 --> 00:06:17,940
+advantage of the total internal reflection The
+
+86
+00:06:17,940 --> 00:06:20,920
+total internal reflection is just that total
+
+87
+00:06:20,920 --> 00:06:25,320
+ببساطة ال total internal reflection من اسمه total
+
+88
+00:06:25,320 --> 00:06:30,360
+بمعنى انعكاس كله انعكاس كله وبالتالي when total
+
+89
+00:06:30,360 --> 00:06:33,820
+internal reflection occurs لما يحدث ال total
+
+90
+00:06:33,820 --> 00:06:37,700
+internal reflection مية في المية of light is
+
+91
+00:06:37,700 --> 00:06:43,060
+reflected نشوف هذا المنظر internally reflecting
+
+92
+00:06:43,060 --> 00:06:45,830
+prison meaning it's printed in glass, which is
+
+93
+00:06:45,830 --> 00:06:50,130
+painted in blue, the object stands in front of it,
+
+94
+00:06:50,190 --> 00:06:51,890
+here they drew a tree, it could be a human or
+
+95
+00:06:51,890 --> 00:06:53,930
+something like that, it could stand in the middle,
+
+96
+00:06:54,050 --> 00:06:57,830
+there's no problem, but here they put it aside to
+
+97
+00:06:57,830 --> 00:07:02,640
+make the object clear و صورة ال object ال object
+
+98
+00:07:02,640 --> 00:07:07,260
+و صورة ال object يعني لو إنسان وقف الأشعة منه هتسقط
+
+99
+00:07:07,260 --> 00:07:11,060
+على السطح الأول سقوط عمودي هذا السطح الأول اللي
+
+100
+00:07:11,060 --> 00:07:15,240
+أنا بأشر عليه سقوط عمودي هذه الأشعة من قمة ال
+
+101
+00:07:15,240 --> 00:07:19,400
+object لأسفل ال object هتسقط سقوط عمودي طالما سقوط
+
+102
+00:07:19,400 --> 00:07:23,080
+عمودي هتمر الأشعة في داخل ال prism اللي هو مصنوع
+
+103
+00:07:23,080 --> 00:07:28,230
+من الزجاج هتلتقي بالسطح التاني It will meet on the
+
+104
+00:07:28,230 --> 00:07:31,770
+other side, but it will fall at an angle greater
+
+105
+00:07:31,770 --> 00:07:35,110
+than the critical angle So it will have a total
+
+106
+00:07:35,110 --> 00:07:39,730
+internal reflection, as the books show When it has
+
+107
+00:07:39,730 --> 00:07:42,290
+a total internal reflection, it will stay inside
+
+108
+00:07:42,290 --> 00:07:45,810
+the glass Internal reflection means the internal
+
+109
+00:07:45,810 --> 00:07:48,370
+reflection, okay? And total means that nothing
+
+110
+00:07:48,370 --> 00:07:52,400
+will be lost Okay, you will walk inside the glass,
+
+111
+00:07:52,780 --> 00:07:55,000
+you will meet the third surface, that is, this is
+
+112
+00:07:55,000 --> 00:07:57,900
+the first surface of the prism, this is the second
+
+113
+00:07:57,900 --> 00:08:00,260
+surface, this is the third surface, you will meet
+
+114
+00:08:00,260 --> 00:08:03,280
+the third surface of the glass, also at an angle
+
+115
+00:08:03,280 --> 00:08:07,240
+greater than the critical angle, it will happen
+
+116
+00:08:07,240 --> 00:08:10,260
+again total internal reflection, that is, total
+
+117
+00:08:10,260 --> 00:08:12,640
+internal reflection will happen for the first time
+
+118
+00:08:12,640 --> 00:08:16,650
+on the second surface وهي حيحدث ثاني مرة على السطح
+
+119
+00:08:16,650 --> 00:08:21,070
+رقم تلاتة السطح رقم واحد استقبل الأشعة بشكل عمودي
+
+120
+00:08:21,070 --> 00:08:26,670
+و قولنا الأشعة لما بتسقط من مادة لمادة من الهواء
+
+121
+00:08:26,670 --> 00:08:30,790
+للجزاز أو من الهواء للميه بشكل عمودي بتغيرش طريقها
+
+122
+00:08:30,790 --> 00:08:36,350
+و إنما بتتغير سرعة سقوط عمودي، مافيش تغير للمسار،
+
+123
+00:08:36,350 --> 00:08:40,830
+بعدين سقوط مرة تانية على السطح التاني، اللي هو فيه
+
+124
+00:08:40,830 --> 00:08:43,950
+هنا هوا وفيه إني هنا جزاز، إذا سطح فاصل بين
+
+125
+00:08:43,950 --> 00:08:48,810
+مادتين، سقوط بزاوية .. سقوط أكبر من ال critical
+
+126
+00:08:48,810 --> 00:08:52,770
+angle، هيصير total internal reflection، مرة تانية
+
+127
+00:08:52,770 --> 00:08:56,350
+سقوط بزاوية سقوط أكبر من ال .. ال .. ال critical
+
+128
+00:08:56,350 --> 00:09:01,530
+angle، مرة تانية total internal reflection The
+
+129
+00:09:01,530 --> 00:09:04,530
+things happened here, but you will fall, you will
+
+130
+00:09:04,530 --> 00:09:07,890
+fall back to the first floor, with an angle of 90
+
+131
+00:09:07,890 --> 00:09:12,600
+degrees Excuse me, it adds zero to zero because
+
+132
+00:09:12,600 --> 00:09:15,000
+it's vertical on the surface, which means it's
+
+133
+00:09:15,000 --> 00:09:18,440
+appropriate to the normal surface So it will keep
+
+134
+00:09:18,440 --> 00:09:20,900
+going in a different direction and it will return
+
+135
+00:09:20,900 --> 00:09:27,200
+to form a picture again Okay, if I'm standing in
+
+136
+00:09:27,200 --> 00:09:29,680
+this area, the same thing happened with the tree,
+
+137
+00:09:29,860 --> 00:09:32,610
+with the object It will happen with me, the light
+
+138
+00:09:32,610 --> 00:09:34,570
+of the day or the light of the room will fall on
+
+139
+00:09:34,570 --> 00:09:37,910
+my body, it will reflect towards the prism, a
+
+140
+00:09:37,910 --> 00:09:41,590
+vertical fall, total internal reflection, again
+
+141
+00:09:41,590 --> 00:09:45,550
+total internal reflection, again a vertical fall,
+
+142
+00:09:46,070 --> 00:09:49,010
+and thus the rays will return, but this time it
+
+143
+00:09:49,010 --> 00:09:54,270
+will be received by the papyrus of its eye I will
+
+144
+00:09:54,270 --> 00:09:57,090
+look at my current picture and the picture will be
+
+145
+00:09:57,090 --> 00:10:03,770
+as clear as the mirrors that we use in our current
+
+146
+00:10:03,770 --> 00:10:06,070
+era and we see our picture clear in it and we do
+
+147
+00:10:06,070 --> 00:10:07,890
+not suffer from any problems in the subject of
+
+148
+00:10:07,890 --> 00:10:11,270
+clarity when we come in front of a level mirror or
+
+149
+00:10:11,270 --> 00:10:14,330
+a plain mirror. There in their time they used the
+
+150
+00:10:14,330 --> 00:10:17,090
+internally reflecting prism for this purpose as
+
+151
+00:10:17,090 --> 00:10:21,390
+the picture we explained above. In the past often
+
+152
+00:10:21,390 --> 00:10:29,930
+the only way to make a practical mirror was
+
+153
+00:10:29,930 --> 00:10:35,390
+to use internally reflecting
+
+154
+00:10:35,390 --> 00:10:40,220
+iparism. طيب بس هيك استفادوا من ال total internal
+
+155
+00:10:40,220 --> 00:10:44,240
+reflection لأ في استفادات أخرى كثيرة today في
+
+156
+00:10:44,240 --> 00:10:48,240
+عصرنا الحالي total internal reflection is still
+
+157
+00:10:48,240 --> 00:10:53,320
+used in prisms found in binoculars slit lamps and
+
+158
+00:10:53,320 --> 00:10:57,320
+operating microscope to give just a few examples
+
+159
+00:10:57,320 --> 00:11:02,650
+أيضا تستعمل ظاهرة ال total internal reflection Of
+
+160
+00:11:02,650 --> 00:11:05,470
+course, we use the total internal friction, or we
+
+161
+00:11:05,470 --> 00:11:09,490
+get this phenomenon through the glass manifolds
+
+162
+00:11:09,490 --> 00:11:13,070
+that we insert into the nozzle assembly, the
+
+163
+00:11:13,070 --> 00:11:18,720
+nozzle, or the nozzle, the slit lamp, operating
+
+164
+00:11:18,720 --> 00:11:20,880
+microscopes, microscopes that are used in
+
+165
+00:11:20,880 --> 00:11:23,920
+operating rooms to perform surgical operations and
+
+166
+00:11:23,920 --> 00:11:29,100
+these are some examples of many examples and
+
+167
+00:11:29,100 --> 00:11:35,320
+therefore these examples use or these devices use
+
+168
+00:11:35,320 --> 00:11:38,020
+the phenomenon of total internal reflection
+
+169
+00:11:38,020 --> 00:11:43,440
+through the prism through the prism, we see a view
+
+170
+00:11:43,440 --> 00:11:46,460
+that explains this issue, this is from a vase this
+
+171
+00:11:46,460 --> 00:11:50,220
+is from a vase The person puts his eyes here, two
+
+172
+00:11:50,220 --> 00:11:54,500
+eyes, these lenses are called eye lenses, the
+
+173
+00:11:54,500 --> 00:11:58,100
+eyepiece, and these are the rays coming, these are
+
+174
+00:11:58,100 --> 00:12:00,900
+the rays coming, let's go to a bigger picture,
+
+175
+00:12:01,660 --> 00:12:04,880
+this is the first prism, this is the first prism
+
+176
+00:12:04,880 --> 00:12:09,000
+that I'm pointing to, first of all, the rays come,
+
+177
+00:12:09,860 --> 00:12:14,140
+total internal reflection on this surface then
+
+178
+00:12:14,140 --> 00:12:16,720
+again on the next surface, total internal
+
+179
+00:12:16,720 --> 00:12:20,080
+reflection, then vertical fall on the surface to
+
+180
+00:12:20,080 --> 00:12:23,540
+get out of the first prism, also vertical fall on
+
+181
+00:12:23,540 --> 00:12:26,060
+the surface of the second prism, this second prism
+
+182
+00:12:26,060 --> 00:12:30,260
+is inverted, vertical fall, total internal
+
+183
+00:12:30,260 --> 00:12:34,880
+reflection, again total internal reflection Last
+
+184
+00:12:34,880 --> 00:12:38,260
+time, a vertical fall towards the eye, towards the
+
+185
+00:12:38,260 --> 00:12:42,060
+eye So, the total internal reflection in the view,
+
+186
+00:12:42,300 --> 00:12:45,020
+or the view that we call it, happens how many
+
+187
+00:12:45,020 --> 00:12:46,640
+times according to the picture I have, the first
+
+188
+00:12:46,640 --> 00:12:49,960
+time total internal reflection, total, complete,
+
+189
+00:12:50,220 --> 00:12:52,960
+internal means inside the material itself Now we
+
+190
+00:12:52,960 --> 00:12:57,440
+are glass, this is the prism made of glasstotal
+
+191
+00:12:57,440 --> 00:13:00,200
+internal reflection of all rays reflected inside
+
+192
+00:13:00,200 --> 00:13:03,580
+the glass also again still inside the glass
+
+193
+00:13:03,580 --> 00:13:07,260
+reflected inside the glass reflected then went out
+
+194
+00:13:07,260 --> 00:
+
+223
+00:15:00,080 --> 00:15:03,700
+to produce the total internal reflection this
+
+224
+00:15:03,700 --> 00:15:08,840
+light comes out from a high index medium to a low
+
+225
+00:15:08,840 --> 00:15:12,760
+index medium when it falls at an angle of less
+
+226
+00:15:12,760 --> 00:15:17,170
+than or more than the critical angle is going to
+
+227
+00:15:17,170 --> 00:15:20,230
+have total internal reflection But the light has
+
+228
+00:15:20,230 --> 00:15:23,530
+to be at the beginning in high refractive index
+
+229
+00:15:23,530 --> 00:15:27,350
+medium and around it in low refractive index
+
+230
+00:15:27,350 --> 00:15:29,870
+medium These are two different kinds of glasses Of
+
+231
+00:15:29,870 --> 00:15:35,990
+course we know that glasses are made of glass When
+
+232
+00:15:35,990 --> 00:15:40,590
+the light .. I .. this is the light فى طرف المنظر
+
+233
+00:15:40,590 --> 00:15:45,910
+أنا وصلت للمعدة دخلت بهدا المنظر ووصلت للمعدة ضويت
+
+234
+00:15:45,910 --> 00:15:50,930
+على جدار المعدة من الداخل أصبح جدار المعدة مضاء
+
+235
+00:15:50,930 --> 00:15:55,270
+هيعكس الضوء مرة تانية فى جميع الاتجاهات ومنها حزمة
+
+236
+00:15:55,270 --> 00:16:00,770
+ضوئية هتدخل فى الزجاج فى الوسط هنا زى ما أنا بأشر
+
+237
+00:16:00,770 --> 00:16:04,750
+ال light زى ما السهم بيوضّح طيب الآن دخلت فى
+
+238
+00:16:04,750 --> 00:16:09,120
+الإجاز دخلت فى الإجازNow, this light beam that
+
+239
+00:16:09,120 --> 00:16:13,260
+entered the glass will fall at a angle greater
+
+240
+00:16:13,260 --> 00:16:16,020
+than the critical angle and it will have a total
+
+241
+00:16:16,020 --> 00:16:19,720
+internal reflection. Why? Because the light will
+
+242
+00:16:19,720 --> 00:16:22,280
+come out of the glass higher than the refractive
+
+243
+00:16:22,280 --> 00:16:25,800
+index, which is drawn in blue. Let's look at a
+
+244
+00:16:25,800 --> 00:16:26,260
+large picture.
+
+245
+00:16:29,770 --> 00:16:34,590
+A glass of another kind, surrounded by it, less
+
+246
+00:16:34,590 --> 00:16:38,870
+than the refractive index. If it falls from the
+
+247
+00:16:38,870 --> 00:16:41,570
+highest point to the lowest point, and falls more
+
+248
+00:16:41,570 --> 00:16:44,670
+than the critical angle, I will have total
+
+249
+00:16:44,670 --> 00:16:49,510
+internal reflection. Also, if it collides with the
+
+250
+00:16:49,510 --> 00:16:53,390
+wall, and falls more than the critical angle, I
+
+251
+00:16:53,390 --> 00:16:58,470
+will have total internal reflection. Total, total,
+
+252
+00:16:58,650 --> 00:17:02,940
+total, total. until my eyes reach what I'm looking
+
+253
+00:17:02,940 --> 00:17:05,600
+at until my eyes reach what I'm looking at these
+
+254
+00:17:05,600 --> 00:17:08,180
+eyepieces, I'm looking at the axis through the
+
+255
+00:17:08,180 --> 00:17:11,100
+flow, the flexible tip, of course, of course, here
+
+256
+00:17:11,100 --> 00:17:13,680
+there is a light source, okay, and therefore I
+
+257
+00:17:13,680 --> 00:17:17,320
+have total internal reflection directly, as we
+
+258
+00:17:17,320 --> 00:17:20,760
+see, total, total internal reflection when my eyes
+
+259
+00:17:20,760 --> 00:17:23,580
+reach the observer, or the observer, or the person
+
+260
+00:17:23,580 --> 00:17:26,920
+who looks at this issue, of course, here too, a
+
+261
+00:17:26,920 --> 00:17:30,880
+drawing explains this issueضويرا جدار المعدة،
+
+262
+00:17:30,880 --> 00:17:35,040
+الجدار المعدة أو الأمعاء أو ما شابه، بي .. بي ..
+
+263
+00:17:35,040 --> 00:17:38,900
+بيعتسل الضوء باتجاه المنظر، بيدخل الضوء في ال ..
+
+264
+00:17:38,900 --> 00:17:41,060
+في ال .. في الإجزاز الكثيف اللي هو عالي ال
+
+265
+00:17:41,060 --> 00:17:45,440
+refractive index، بييجي و بيطلع للي أقل كثافة،
+
+266
+00:17:45,440 --> 00:17:48,520
+بسقط بزاوية السقوط أكتر من ال critical angle،
+
+267
+00:17:48,520 --> 00:17:51,420
+بيصيرله total internal reflection, total, total,
+
+268
+00:17:51,560 --> 00:17:57,970
+total طيب السؤال، مهما انثنى، لو انثنى ألف مرةAs
+
+269
+00:17:57,970 --> 00:18:02,270
+long as the total internal reflection occurs, the
+
+270
+00:18:02,270 --> 00:18:05,390
+light beam that enters does not lose anything from
+
+271
+00:18:05,390 --> 00:18:07,430
+it. Why? Because it is total. Let's not forget
+
+272
+00:18:07,430 --> 00:18:10,330
+that it is total internal reflection and sometimes
+
+273
+00:18:10,330 --> 00:18:13,830
+it gives me clarity in the picture in a big way.
+
+274
+00:18:14,130 --> 00:18:17,690
+So we benefited in the past from the total
+
+275
+00:18:17,690 --> 00:18:20,230
+internal reflection phenomenon in the matter of
+
+276
+00:18:20,230 --> 00:18:23,350
+using prismas as mirrors, as practical mirrors
+
+277
+00:18:23,990 --> 00:18:29,290
+Also, we benefited in the speech from the lenses,
+
+278
+00:18:29,770 --> 00:18:32,490
+the lens, the slit lamp, which is an eye detector,
+
+279
+00:18:33,330 --> 00:18:36,290
+the surgical microscopes, and we also benefited
+
+280
+00:18:36,290 --> 00:18:38,970
+from the subject of glass lenses and internal
+
+281
+00:18:38,970 --> 00:18:41,570
+lenses, whether from the back of the stomach, or
+
+282
+00:18:41,570 --> 00:18:43,130
+from the back of the colon, or from the back of
+
+283
+00:18:43,130 --> 00:18:45,330
+the 12th, or from the back of the stomach, I mean,
+
+284
+00:18:45,470 --> 00:18:50,830
+medicine advanced or .. or .. or .. I mean ..So
+
+285
+00:18:50,830 --> 00:18:54,590
+let's say it advanced with the help of total
+
+286
+00:18:54,590 --> 00:18:58,150
+internal reflection in addition to many similar
+
+287
+00:18:58,150 --> 00:19:01,850
+things in addition to many similar things Now
+
+288
+00:19:01,850 --> 00:19:04,890
+there are many benefits of total internal
+
+289
+00:19:04,890 --> 00:19:09,510
+reflection, but there is also something annoying
+
+290
+00:19:09,510 --> 00:19:14,130
+in total internal reflection, which is لما بنيجي
+
+291
+00:19:14,130 --> 00:19:17,990
+نفحص ال anterior chamber angle ال anterior chamber
+
+292
+00:19:17,990 --> 00:19:22,730
+angle clinically طبيا total internal reflection is
+
+293
+00:19:22,730 --> 00:19:28,090
+a nuisance when clinicians are trying to examine
+
+294
+00:19:28,090 --> 00:19:32,010
+the anterior chamber angle الان عشان اشوف الاشي
+
+295
+00:19:32,010 --> 00:19:35,590
+عشان اي object في الدنيا اشوفه لازم
+
+296
+00:19:38,330 --> 00:19:40,910
+The light must fall on it, and the light after
+
+297
+00:19:40,910 --> 00:19:43,630
+falling on it should reflect in the direction of
+
+298
+00:19:43,630 --> 00:19:45,970
+my eye as a observer .. in the direction of my eye
+
+299
+00:19:45,970 --> 00:19:49,810
+as an observer As we learned in anatomy, the
+
+300
+00:19:49,810 --> 00:19:52,850
+anterior chamber angle, which is the angle of the
+
+301
+00:19:52,850 --> 00:19:55,310
+anterior cavity, is the source of fluid in the eye
+
+302
+00:19:55,310 --> 00:19:57,150
+Fluid in the eye is produced in the ciliary body,
+
+303
+00:19:57,750 --> 00:19:59,670
+it goes through the posterior chamber, as I
+
+304
+00:19:59,670 --> 00:20:03,230
+pointed out, and through the pupilAnd it comes to
+
+305
+00:20:03,230 --> 00:20:05,850
+the anterior chamber angle, to the trabecular
+
+306
+00:20:05,850 --> 00:20:11,290
+meshwork to move it out of the eye, out of the
+
+307
+00:20:11,290 --> 00:20:14,290
+eye. Now, sometimes the eye doctor wants to look
+
+308
+00:20:14,290 --> 00:20:17,770
+at the anterior chamber angle, to check it, to
+
+309
+00:20:17,770 --> 00:20:21,170
+check the anterior chamber angle, to see if there
+
+310
+00:20:21,170 --> 00:20:23,170
+is a problem or if there is no problem, because
+
+311
+00:20:23,170 --> 00:20:26,790
+the patient may suffer from glaucoma disease, and
+
+312
+00:20:26,790 --> 00:20:28,990
+sometimes there is glaucoma disease, which is eye
+
+313
+00:20:28,990 --> 00:20:32,840
+pressure increase, I have a problem, انه مثلا في
+
+314
+00:20:32,840 --> 00:20:36,900
+تسديد او في تليفات او في مشاكل او اتهابات في ال
+
+315
+00:20:36,900 --> 00:20:41,760
+anterior chamber يعني طيب الان احنا ضوينا ال slit
+
+316
+00:20:41,760 --> 00:20:45,770
+lamp جهاز فحص العينWe turned on the light on the
+
+317
+00:20:45,770 --> 00:20:47,970
+anterior chamber angle. The light should
+
+318
+00:20:47,970 --> 00:20:52,050
+automatically reflect from the anterior chamber
+
+319
+00:20:52,050 --> 00:20:55,550
+angle and come out of the eye towards the device.
+
+320
+00:20:55,770 --> 00:20:57,790
+And I put my eye on the eyepiece, which means that
+
+321
+00:20:57,790 --> 00:21:00,150
+I look at the device to wait for the light to
+
+322
+00:21:00,150 --> 00:21:03,450
+reflect towards me. But when the light comes and
+
+323
+00:21:03,450 --> 00:21:06,690
+leaves the cornea, which is drawn in blue, it
+
+324
+00:21:06,690 --> 00:21:09,010
+falls in an angle. So where does it leave the
+
+325
+00:21:09,010 --> 00:21:13,020
+cornea? To the air. To the air. means not directly
+
+326
+00:21:13,020 --> 00:21:15,720
+to the eye, first to the air, then to the lenses
+
+327
+00:21:15,720 --> 00:21:19,920
+of the slit lamp, then to the eye When the cornea
+
+328
+00:21:19,920 --> 00:21:23,680
+leaves the air, of course from the highest point
+
+329
+00:21:23,680 --> 00:21:26,500
+in the refractive index, which is the cornea, and
+
+330
+00:21:26,500 --> 00:21:28,140
+from the lowest point in the refractive index,
+
+331
+00:21:28,320 --> 00:21:31,160
+which is the air, it falls at an angle greater
+
+332
+00:21:31,160 --> 00:21:33,320
+than the critical angle, so everything is
+
+333
+00:21:33,320 --> 00:21:38,220
+reflected inside the eyeThe phenomenon of total
+
+334
+00:21:38,220 --> 00:21:41,820
+internal reflection started to form a problem for
+
+335
+00:21:41,820 --> 00:21:46,940
+me .. a problem for me and therefore I have to
+
+336
+00:21:46,940 --> 00:21:50,020
+find a solution to this problem because with the
+
+337
+00:21:50,020 --> 00:21:52,780
+naked eye with the use of a slit lamp, it is
+
+338
+00:21:52,780 --> 00:21:56,240
+impossible to see the corner of the eye and the
+
+339
+00:21:56,240 --> 00:21:59,860
+point is not that it is a skill, meaning that
+
+340
+00:21:59,860 --> 00:22:01,300
+there is a doctor who can do it and a doctor who
+
+341
+00:22:01,300 --> 00:22:03,300
+cannot do it as long as the light does not reach
+
+342
+00:22:03,300 --> 00:22:06,410
+us, it means that nobody saw itAs long as we
+
+343
+00:22:06,410 --> 00:22:08,410
+didn't reach the light, it means no one saw it.
+
+344
+00:22:08,450 --> 00:22:11,890
+But why no one saw it? Because when the light that
+
+345
+00:22:11,890 --> 00:22:16,850
+is reflected from the anterior chamber angle, when
+
+346
+00:22:16,850 --> 00:22:20,490
+it passes from the anterior chamber to the cornea,
+
+347
+00:22:20,570 --> 00:22:23,650
+there is no problem, okay? From the lowest to the
+
+348
+00:22:23,650 --> 00:22:25,850
+highest, from the lowest in the refractive index
+
+349
+00:22:25,850 --> 00:22:29,650
+to the highest The anterior chamber, the aqueous,
+
+350
+00:22:30,170 --> 00:22:34,090
+the aqueous is one point three three three while
+
+351
+00:22:34,090 --> 00:22:40,210
+the cornea is 1.376 so from the lowest point to
+
+352
+00:22:40,210 --> 00:22:41,870
+the highest point, there will not be a total
+
+353
+00:22:41,870 --> 00:22:43,950
+internal reflection okay, he passed through the
+
+354
+00:22:43,950 --> 00:22:45,730
+cornea and reached the surface of the cornea in
+
+355
+00:22:45,730 --> 00:22:47,630
+front of him, he wants to go out into the air he
+
+356
+00:22:47,630 --> 00:22:50,750
+will fall at an angle greater than the critical
+
+357
+00:22:50,750 --> 00:22:53,010
+angle and do not forget that he wants to move from
+
+358
+00:22:53,010 --> 00:22:55,110
+the highest point, which is the cornea, to the
+
+359
+00:22:55,110 --> 00:22:56,510
+lowest point in the air if possible, there will be
+
+360
+00:22:56,510 --> 00:23:00,190
+a total internal reflection for the rays that fall
+
+361
+00:23:00,190 --> 00:23:03,510
+at angles greater than the critical angleAnd this
+
+362
+00:23:03,510 --> 00:23:07,050
+is really what happens. The treatment for this
+
+363
+00:23:07,050 --> 00:23:14,350
+problem, or so that we can see the .. which is the
+
+364
+00:23:14,350 --> 00:23:19,590
+problem of anterior chamber angle, I put the
+
+365
+00:23:19,590 --> 00:23:23,230
+gonioscopy lens, a specific lens, okay? I stick
+
+366
+00:23:23,230 --> 00:23:25,690
+it, I stick it to the surface of the chamber, I
+
+367
+00:23:25,690 --> 00:23:28,430
+put it on the surface of the chamber, okay? With
+
+368
+00:23:28,430 --> 00:23:30,930
+the help of a smooth material. Now I have
+
+369
+00:23:31,200 --> 00:23:34,840
+Quarantine is a liquid substance and then the
+
+370
+00:23:34,840 --> 00:23:37,220
+lens. The lens is of course made of glass.
+
+371
+00:23:38,060 --> 00:23:41,440
+Quarantine is a liquid substance and the lens has
+
+372
+00:23:41,440 --> 00:23:46,780
+no air, so the rays can go out. You might ask, how
+
+373
+00:23:46,780 --> 00:23:50,320
+did the total internal reflection appear? Of
+
+374
+00:23:50,320 --> 00:23:53,880
+course, when I use a liquid substance close to the
+
+375
+00:23:53,880 --> 00:23:57,820
+refractive index, close to the refractive index of
+
+376
+00:23:57,820 --> 00:24:02,030
+the quarantine, then sometimes بيكون الفرق في
+
+377
+00:24:02,030 --> 00:24:06,350
+refractive index بسيط فصعب جدا جدا أصل لل critical
+
+378
+00:24:06,350 --> 00:24:11,730
+angle و ساعتها الأشعة هتخرج هنا في مرايا داخل
+
+379
+00:24:11,730 --> 00:24:15,810
+العدسة داخل العدسة هاي العدسة هنا في مرايا داخلها
+
+380
+00:24:15,810 --> 00:24:19,180
+و هتشوفوها ان شاء الله تعالىin practical lessons,
+
+381
+00:24:19,660 --> 00:24:22,920
+and these mirrors reflect towards the eye of the
+
+382
+00:24:22,920 --> 00:24:26,040
+observer or the eye of the doctor who checks the
+
+383
+00:24:26,040 --> 00:24:29,640
+anterior chamber angle, who checks the anterior
+
+384
+00:24:29,640 --> 00:24:34,700
+chamber angle. One can say, okay, if the two
+
+385
+00:24:34,700 --> 00:24:36,200
+media, the two media
+
+386
+00:24:39,450 --> 00:24:43,830
+لو كانت two media قريبين من بعض .. قريبين من بعض
+
+387
+00:24:43,830 --> 00:24:48,550
+.. هل .. يعني هذا بيفيد في .. في تقليل ال total
+
+388
+00:24:48,550 --> 00:24:51,830
+internal reflection؟ بنقول خلينا احنا على المثال
+
+389
+00:24:51,830 --> 00:24:57,050
+هذا، لما كان عندي glass و هوا، زجاج و هوا، اللي ..
+
+390
+00:24:57,050 --> 00:25:01,610
+اللي .. عندي هنا في انكسار، فيش total internal
+
+391
+00:25:01,610 --> 00:25:05,270
+reflectionWhen I increase the angle, it increases
+
+392
+00:25:05,270 --> 00:25:07,750
+and increases, now I'm praying for a critical
+
+393
+00:25:07,750 --> 00:25:09,690
+angle, like this, almost like this, this is the
+
+394
+00:25:09,690 --> 00:25:14,510
+critical angle, almost, almost 42 degrees, now we
+
+395
+00:25:14,510 --> 00:25:18,050
+increased it to 42 and 1, nothing, everything is
+
+396
+00:25:18,050 --> 00:25:23,110
+reversed, so when I have glass and air, glass and
+
+397
+00:25:23,110 --> 00:25:26,970
+air, the critical angle is almost 42, more than
+
+398
+00:25:26,970 --> 00:25:33,060
+42, I have what? Total internal reflectionالان انا
+
+399
+00:25:33,060 --> 00:25:36,000
+بدي الفرق في ال refractive index بين ال glass و
+
+400
+00:25:36,000 --> 00:25:41,620
+بين ال هو تقريبا نص لإن واحد و نص ناقص واحد نص اذا
+
+401
+00:25:41,620 --> 00:25:44,980
+لما بيكون الفرق كبير هي كان عندي زاوية ال critical
+
+402
+00:25:44,980 --> 00:25:50,920
+angle طيب انا بدي أخلي water شايفين في انكسار مش
+
+403
+00:25:50,920 --> 00:25:54,160
+total internal reflection طيب عشان أشوف ال
+
+404
+00:25:54,160 --> 00:25:59,000
+critical angle بين ال glass و ال هو و بين ال glass
+
+405
+00:25:59,000 --> 00:26:04,390
+و الميه و ال water شايفينThis is when I reached 53
+
+406
+00:26:04,390 --> 00:26:07,910
+or 54 degrees of fall, and still the rays are
+
+407
+00:26:07,910 --> 00:26:09,890
+passing through, so there is no total internal
+
+408
+00:26:09,890 --> 00:26:11,710
+reflection. Can you see?
+
+409
+00:26:16,150 --> 00:26:23,730
+Here I reached almost, almost, the critical angle
+
+410
+00:26:23,730 --> 00:26:28,670
+is around 63 degrees. What does this mean? When I
+
+411
+00:26:28,670 --> 00:26:34,520
+reached 63 degrees, 63 total internal reflection
+
+412
+00:26:34,
+
+445
+00:28:22,970 --> 00:28:26,690
+air, total internal reflection why? because glass
+
+446
+00:28:26,690 --> 00:28:31,530
+with air, the critical angle is less now we are
+
+447
+00:28:31,530 --> 00:28:33,710
+less than the critical angle, the rays started to
+
+448
+00:28:33,710 --> 00:28:38,050
+go away that's how we got critical angle and total
+
+449
+00:28:38,050 --> 00:28:41,530
+internal reflection so, the bigger the difference
+
+450
+00:28:41,530 --> 00:28:45,210
+in refractive index between two objects, the
+
+451
+00:28:45,210 --> 00:28:47,950
+smaller the difference in refractive index and the
+
+452
+00:28:47,950 --> 00:28:52,630
+smaller the difference in critical angle and the
+
+453
+00:28:52,630 --> 00:28:55,030
+smaller the difference in refractive index and the
+
+454
+00:28:55,030 --> 00:28:55,630
+smaller the difference in refractive index and the
+
+455
+00:28:55,630 --> 00:28:58,610
+smaller the difference in critical angle and the
+
+456
+00:28:58,610 --> 00:29:01,410
+difference in refractive index opposite
+
+457
+00:29:01,410 --> 00:29:07,140
+relationship between critical angle and which is
+
+458
+00:29:07,140 --> 00:29:11,380
+the difference in the refractive index between the
+
+459
+00:29:11,380 --> 00:29:15,100
+two substances and thus we overcome the phenomenon
+
+460
+00:29:15,100 --> 00:29:19,220
+of total internal reflection because when we
+
+461
+00:29:19,220 --> 00:29:21,380
+benefit from it, there is no problem, but when it
+
+462
+00:29:21,380 --> 00:29:23,560
+bothers us in the matter of seeing the anterior
+
+463
+00:29:23,560 --> 00:29:30,280
+chamber angle, then we must overcome
+
+464
+00:29:30,280 --> 00:29:33,780
+it by reducing the difference in the refractive
+
+465
+00:29:33,780 --> 00:29:36,330
+index between the particle and the substance اللي
+
+466
+00:29:36,330 --> 00:29:42,770
+بعت القرانية الان بده نستعرض بعض الأشياء اللي يعني
+
+467
+00:29:42,770 --> 00:29:46,390
+بتذكرنا او بتثبت لدينا فكرة ال total internal
+
+468
+00:29:46,390 --> 00:29:50,090
+reflection وننهي المحاضرة بذلك هاي عندي مصدر للضوء
+
+469
+00:29:50,090 --> 00:29:53,890
+داخل الزجاج السقوط عمودي باتجاه الهواء هذا اللي
+
+470
+00:29:53,890 --> 00:29:56,270
+فوق اللي هو الهواء وهنا الجزاز اللي هو باللون
+
+471
+00:29:56,270 --> 00:30:00,170
+الأزرق هاي المصدر الدوء سقوط عمودي الدوء ما تغير
+
+472
+00:30:00,170 --> 00:30:02,890
+اتجاهه it didn't change its direction, it changed
+
+473
+00:30:02,890 --> 00:30:04,750
+its speed, when it comes out of the exhaust to the
+
+474
+00:30:04,750 --> 00:30:07,650
+air, it speeds up more, it speeds up more, now
+
+475
+00:30:07,650 --> 00:30:11,110
+there is a certain angle of fall The angle of
+
+476
+00:30:11,110 --> 00:30:13,850
+deflection is greater than that, which means that
+
+477
+00:30:13,850 --> 00:30:16,250
+when the sun sets and moves away from the wind, it
+
+478
+00:30:16,250 --> 00:30:18,390
+moves away from the normal surface. Of course, the
+
+479
+00:30:18,390 --> 00:30:21,490
+normal surface I have here is not drawn. Well, the
+
+480
+00:30:21,490 --> 00:30:24,970
+angle of deflection increased, the angle of
+
+481
+00:30:24,970 --> 00:30:27,170
+deflection increased, the angle of deflection
+
+482
+00:30:27,170 --> 00:30:29,210
+increased, until it reached a greater angle of
+
+483
+00:30:29,210 --> 00:30:33,520
+deflection, greater than the critical angle from
+
+484
+00:30:33,520 --> 00:30:37,220
+the critical angle, then I have total internal
+
+485
+00:30:37,220 --> 00:30:39,600
+reflection, and as you can see here, there is no
+
+486
+00:30:39,600 --> 00:30:43,080
+radiation going out, all the rays fell at an angle
+
+487
+00:30:43,080 --> 00:30:46,680
+greater than the critical angle Of course, here I
+
+488
+00:30:46,680 --> 00:30:50,200
+have, maybe some of you noticed, that I have some
+
+489
+00:30:50,200 --> 00:30:53,960
+rays floating on the surface, these rays floating
+
+490
+00:30:53,960 --> 00:30:55,640
+on the surface, meaning there are thousands of
+
+491
+00:30:55,640 --> 00:30:59,270
+rays العلاق في الأشعة، بعض الأشعة اللي تسبح على
+
+492
+00:30:59,270 --> 00:31:03,830
+السطح تمام، تمام، هذه سقطت بزاوية سقوط تساوي ل
+
+493
+00:31:03,830 --> 00:31:07,870
+critical angle، تساوي ل critical angleanother view
+
+494
+00:31:07,870 --> 00:31:11,430
+shows me the total internal reflection inside the
+
+495
+00:31:11,430 --> 00:31:15,710
+glass by using a red laser pen of course a fall
+
+496
+00:31:15,710 --> 00:31:18,950
+greater than the critical angle will leave the
+
+497
+00:31:18,950 --> 00:31:22,690
+laser inside the glass a fall again on the second
+
+498
+00:31:22,690 --> 00:31:24,970
+floor which is this floor will increase the fall
+
+499
+00:31:24,970 --> 00:31:30,090
+greater than the critical angle again total
+
+500
+00:31:30,090 --> 00:31:34,790
+internal reflection also here the same case total
+
+501
+00:31:34,790 --> 00:31:37,560
+internal reflection repeated means that the light
+
+502
+00:31:37,560 --> 00:31:42,420
+is still trapped inside the glass Also here, the
+
+503
+00:31:42,420 --> 00:31:46,040
+light was in the air, the light was in the air, it
+
+504
+00:31:46,040 --> 00:31:48,480
+entered the water, it entered the water, it
+
+505
+00:31:48,480 --> 00:31:49,900
+reached the surface of the water, it wanted to go
+
+506
+00:31:49,900 --> 00:31:55,210
+up to the air but it fell بزاوية سقوط اكبر من ال
+
+507
+00:31:55,210 --> 00:31:58,550
+critical angle فيعني اعكس داخل الماء ايضا ظاهرة ال
+
+508
+00:31:58,550 --> 00:32:01,790
+total internal reflection ال total internal
+
+509
+00:32:01,790 --> 00:32:05,950
+reflection بنتوقف عند موضوع ال dispersion ويعطيكم
+
+510
+00:32:05,950 --> 00:32:08,690
+العافية والسلام عليكم ورحمة الله وبركاته
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/XdNOzpeZdqw_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/XdNOzpeZdqw_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..c480f3bd35dc97accbde7d07e954b6c802d8a253
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/XdNOzpeZdqw_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3082, "start": 2.28, "end": 30.82, "text": "بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم تحدثنا في المرة الماضية عن ال transfers magnification تحدثنا في المرة الماضية عن ال transfers magnification تحدثنا في المرة الماضية عن ال transfers magnification تحدثنا في المرة الماضية عن ال transfers magnification تحدثنا في المرة الماضية عن ال transfers magnification تحدثنا في المرة الماضية عن ال transfers magnification تحدثنا في المرة الماضية عن ال transfers magnification تحدثنا في المرة الماضية عن ال transfers magnification تحدثنا في المرة الماضية عن ال transfers magnification تحدثنا في المرة الماضية عن ال transfers magnification تحدثنا في المرة الماضية عن ال transfers magnification تحدثنا في المرة الماضية عن ال transfers magnification تحدثنا في المرة الماضية عن ال transfers magnification تحدثنا في المرة الماضية عن", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 6055, 24401, 12984, 8315, 8978, 9673, 25720, 9673, 46958, 10632, 18871, 2423, 29137, 4944, 3774, 6055, 24401, 12984, 8315, 8978, 9673, 25720, 9673, 46958, 10632, 18871, 2423, 29137, 4944, 3774, 6055, 24401, 12984, 8315, 8978, 9673, 25720, 9673, 46958, 10632, 18871, 2423, 29137, 4944, 3774, 6055, 24401, 12984, 8315, 8978, 9673, 25720, 9673, 46958, 10632, 18871, 2423, 29137, 4944, 3774, 6055, 24401, 12984, 8315, 8978, 9673, 25720, 9673, 46958, 10632, 18871, 2423, 29137, 4944, 3774, 6055, 24401, 12984, 8315, 8978, 9673, 25720, 9673, 46958, 10632, 18871, 2423, 29137, 4944, 3774, 6055, 24401, 12984, 8315, 8978, 9673, 25720, 9673, 46958, 10632, 18871, 2423, 29137, 4944, 3774, 6055, 24401, 12984, 8315, 8978, 9673, 25720, 9673, 46958, 10632, 18871, 2423, 29137, 4944, 3774, 6055, 24401, 12984, 8315, 8978, 9673, 25720, 9673, 46958, 10632, 18871, 2423, 29137, 4944, 3774, 6055, 24401, 12984, 8315, 8978, 9673, 25720, 9673, 46958, 10632, 18871, 2423, 29137, 4944, 3774, 6055, 24401, 12984, 8315, 8978, 9673, 25720, 9673, 46958, 10632, 18871, 2423, 29137, 4944, 3774, 6055, 24401, 12984, 8315, 8978, 9673, 25720, 9673, 46958, 10632, 18871, 2423, 29137, 4944, 3774, 6055, 24401, 12984, 8315, 8978, 9673, 25720, 9673, 46958, 10632, 18871, 2423, 29137, 4944, 3774, 6055, 24401, 12984, 8315, 8978, 9673, 25720, 9673, 46958, 10632, 18871], "avg_logprob": -0.08354166878594292, "compression_ratio": 10.513761467889909, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 2.28, "end": 2.58, "word": "بسم", "probability": 0.526824951171875}, {"start": 2.58, "end": 2.72, "word": " الله", "probability": 0.9375}, {"start": 2.72, "end": 3.04, "word": " الرحمن", "probability": 0.9049479166666666}, {"start": 3.04, "end": 3.58, "word": " الرحيم", "probability": 0.984375}, {"start": 3.58, "end": 4.4, "word": " بسم", "probability": 0.59637451171875}, {"start": 4.4, "end": 4.4, "word": " الله", "probability": 0.93994140625}, {"start": 4.4, "end": 4.4, "word": " الرحمن", "probability": 0.9602864583333334}, {"start": 4.4, "end": 4.4, "word": " الرحيم", "probability": 0.9928385416666666}, {"start": 4.4, "end": 6.74, "word": " تحدثنا", "probability": 0.78009033203125}, {"start": 6.74, "end": 6.92, "word": " في", "probability": 0.8984375}, {"start": 6.92, "end": 7.2, "word": " المرة", "probability": 0.982177734375}, {"start": 7.2, "end": 8.0, "word": " الماضية", "probability": 0.9640299479166666}, {"start": 8.0, "end": 8.36, "word": " عن", "probability": 0.9658203125}, {"start": 8.36, "end": 8.72, "word": " ال", "probability": 0.8681640625}, {"start": 8.72, "end": 9.36, "word": " transfers", "probability": 0.779296875}, {"start": 9.36, "end": 10.4, "word": " magnification", "probability": 0.9560546875}, {"start": 10.4, "end": 10.4, "word": " تحدثنا", "probability": 0.84625244140625}, {"start": 10.4, "end": 10.4, "word": " في", "probability": 0.98583984375}, {"start": 10.4, "end": 10.4, "word": " المرة", "probability": 0.991943359375}, {"start": 10.4, "end": 10.4, "word": " الماضية", "probability": 0.9934895833333334}, {"start": 10.4, "end": 10.4, "word": " عن", "probability": 0.99755859375}, {"start": 10.4, "end": 10.4, "word": " ال", "probability": 0.9609375}, {"start": 10.4, "end": 10.4, "word": " transfers", "probability": 0.96044921875}, {"start": 10.4, "end": 10.4, "word": " magnification", "probability": 0.984375}, {"start": 10.4, "end": 10.58, "word": " تحدثنا", "probability": 0.8692626953125}, {"start": 10.58, "end": 10.6, "word": " في", "probability": 0.98681640625}, {"start": 10.6, "end": 10.6, "word": " المرة", "probability": 0.97216796875}, {"start": 10.6, "end": 10.64, "word": " الماضية", "probability": 0.9931640625}, {"start": 10.64, "end": 10.64, "word": " عن", "probability": 0.99853515625}, {"start": 10.64, "end": 10.66, "word": " ال", "probability": 0.98876953125}, {"start": 10.66, "end": 10.7, "word": " transfers", "probability": 0.9580078125}, {"start": 10.7, "end": 10.7, "word": " magnification", "probability": 0.984375}, {"start": 10.7, "end": 11.46, "word": " تحدثنا", "probability": 0.77545166015625}, {"start": 11.46, "end": 11.66, "word": " في", "probability": 0.951171875}, {"start": 11.66, "end": 11.66, "word": " المرة", "probability": 0.962890625}, {"start": 11.66, "end": 11.66, "word": " الماضية", "probability": 0.9918619791666666}, {"start": 11.66, "end": 11.66, "word": " عن", "probability": 0.99560546875}, {"start": 11.66, "end": 11.7, "word": " ال", "probability": 0.986328125}, {"start": 11.7, "end": 11.74, "word": " transfers", "probability": 0.9326171875}, {"start": 11.74, "end": 11.74, "word": " magnification", "probability": 0.982177734375}, {"start": 11.74, "end": 11.74, "word": " تحدثنا", "probability": 0.8011474609375}, {"start": 11.74, "end": 11.74, "word": " في", "probability": 0.96240234375}, {"start": 11.74, "end": 11.74, "word": " المرة", "probability": 0.955078125}, {"start": 11.74, "end": 11.74, "word": " الماضية", "probability": 0.9915364583333334}, {"start": 11.74, "end": 11.74, "word": " عن", "probability": 0.9931640625}, {"start": 11.74, "end": 11.74, "word": " ال", "probability": 0.98583984375}, {"start": 11.74, "end": 12.14, "word": " transfers", "probability": 0.90625}, {"start": 12.14, "end": 13.14, "word": " magnification", "probability": 0.980712890625}, {"start": 13.14, "end": 13.14, "word": " تحدثنا", "probability": 0.87353515625}, {"start": 13.14, "end": 13.14, "word": " في", "probability": 0.978515625}, {"start": 13.14, "end": 13.14, "word": " المرة", "probability": 0.9521484375}, {"start": 13.14, "end": 13.14, "word": " الماضية", "probability": 0.9915364583333334}, {"start": 13.14, "end": 13.14, "word": " عن", "probability": 0.9931640625}, {"start": 13.14, "end": 13.14, "word": " ال", "probability": 0.9853515625}, {"start": 13.14, "end": 13.14, "word": " transfers", "probability": 0.896484375}, {"start": 13.14, "end": 13.16, "word": " magnification", "probability": 0.980224609375}, {"start": 13.16, "end": 13.16, "word": " تحدثنا", "probability": 0.9200439453125}, {"start": 13.16, "end": 13.16, "word": " في", "probability": 0.9853515625}, {"start": 13.16, "end": 13.16, "word": " المرة", "probability": 0.947021484375}, {"start": 13.16, "end": 13.16, "word": " الماضية", "probability": 0.9895833333333334}, {"start": 13.16, "end": 13.16, "word": " عن", "probability": 0.99267578125}, {"start": 13.16, "end": 13.16, "word": " ال", "probability": 0.9853515625}, {"start": 13.16, "end": 13.16, "word": " transfers", "probability": 0.875}, {"start": 13.16, "end": 13.16, "word": " magnification", "probability": 0.979248046875}, {"start": 13.16, "end": 13.16, "word": " تحدثنا", "probability": 0.9383544921875}, {"start": 13.16, "end": 13.16, "word": " في", "probability": 0.98779296875}, {"start": 13.16, "end": 13.16, "word": " المرة", "probability": 0.948974609375}, {"start": 13.16, "end": 13.16, "word": " الماضية", "probability": 0.9855143229166666}, {"start": 13.16, "end": 13.16, "word": " عن", "probability": 0.99169921875}, {"start": 13.16, "end": 13.16, "word": " ال", "probability": 0.984375}, {"start": 13.16, "end": 13.16, "word": " transfers", "probability": 0.85205078125}, {"start": 13.16, "end": 13.16, "word": " magnification", "probability": 0.978759765625}, {"start": 13.16, "end": 13.16, "word": " تحدثنا", "probability": 0.9468994140625}, {"start": 13.16, "end": 13.16, "word": " في", "probability": 0.9892578125}, {"start": 13.16, "end": 13.16, "word": " المرة", "probability": 0.94970703125}, {"start": 13.16, "end": 13.16, "word": " الماضية", "probability": 0.98046875}, {"start": 13.16, "end": 13.16, "word": " عن", "probability": 0.990234375}, {"start": 13.16, "end": 13.16, "word": " ال", "probability": 0.98095703125}, {"start": 13.16, "end": 13.16, "word": " transfers", "probability": 0.8310546875}, {"start": 13.16, "end": 13.16, "word": " magnification", "probability": 0.977783203125}, {"start": 13.16, "end": 13.8, "word": " تحدثنا", "probability": 0.9534912109375}, {"start": 13.8, "end": 13.8, "word": " في", "probability": 0.99072265625}, {"start": 13.8, "end": 13.8, "word": " المرة", "probability": 0.949951171875}, {"start": 13.8, "end": 13.8, "word": " الماضية", "probability": 0.97509765625}, {"start": 13.8, "end": 13.8, "word": " عن", "probability": 0.98876953125}, {"start": 13.8, "end": 13.8, "word": " ال", "probability": 0.9765625}, {"start": 13.8, "end": 13.8, "word": " transfers", "probability": 0.82958984375}, {"start": 13.8, "end": 13.8, "word": " magnification", "probability": 0.978271484375}, {"start": 13.8, "end": 14.46, "word": " تحدثنا", "probability": 0.959228515625}, {"start": 14.46, "end": 14.46, "word": " في", "probability": 0.9912109375}, {"start": 14.46, "end": 14.46, "word": " المرة", "probability": 0.94482421875}, {"start": 14.46, "end": 14.46, "word": " الماضية", "probability": 0.9674479166666666}, {"start": 14.46, "end": 14.46, "word": " عن", "probability": 0.98779296875}, {"start": 14.46, "end": 14.46, "word": " ال", "probability": 0.9697265625}, {"start": 14.46, "end": 14.46, "word": " transfers", "probability": 0.822265625}, {"start": 14.46, "end": 14.46, "word": " magnification", "probability": 0.978515625}, {"start": 14.46, "end": 15.14, "word": " تحدثنا", "probability": 0.9627685546875}, {"start": 15.14, "end": 15.14, "word": " في", "probability": 0.99169921875}, {"start": 15.14, "end": 15.32, "word": " المرة", "probability": 0.939697265625}, {"start": 15.32, "end": 15.42, "word": " الماضية", "probability": 0.9617513020833334}, {"start": 15.42, "end": 15.9, "word": " عن", "probability": 0.98681640625}, {"start": 15.9, "end": 16.12, "word": " ال", "probability": 0.96240234375}, {"start": 16.12, "end": 18.72, "word": " transfers", "probability": 0.81689453125}, {"start": 18.72, "end": 19.18, "word": " magnification", "probability": 0.978515625}, {"start": 19.18, "end": 19.98, "word": " تحدثنا", "probability": 0.964111328125}, {"start": 19.98, "end": 21.34, "word": " في", "probability": 0.9912109375}, {"start": 21.34, "end": 21.86, "word": " المرة", "probability": 0.931640625}, {"start": 21.86, "end": 23.18, "word": " الماضية", "probability": 0.9588216145833334}, {"start": 23.18, "end": 23.44, "word": " عن", "probability": 0.986328125}, {"start": 23.44, "end": 23.62, "word": " ال", "probability": 0.95263671875}, {"start": 23.62, "end": 26.5, "word": " transfers", "probability": 0.806640625}, {"start": 26.5, "end": 26.5, "word": " magnification", "probability": 0.979248046875}, {"start": 26.5, "end": 27.74, "word": " تحدثنا", "probability": 0.9593505859375}, {"start": 27.74, "end": 29.72, "word": " في", "probability": 0.99072265625}, {"start": 29.72, "end": 29.8, "word": " المرة", "probability": 0.9189453125}, {"start": 29.8, "end": 30.8, "word": " الماضية", "probability": 0.9412434895833334}, {"start": 30.8, "end": 30.82, "word": " عن", "probability": 0.982421875}], "temperature": 1.0}, {"id": 2, "seek": 5721, "start": 31.35, "end": 57.21, "text": "that everything above the optical axis we give it a positive sign and everything below the optical axis we give it a negative sign and we also said that when I want to characterize the transference magnification I put the X mark, the X means when we say X minus half, the X means the magnification", "tokens": [6780, 1203, 3673, 264, 20674, 10298, 321, 976, 309, 257, 3353, 1465, 293, 1203, 2507, 264, 20674, 10298, 321, 976, 309, 257, 3671, 1465, 293, 321, 611, 848, 300, 562, 286, 528, 281, 38463, 264, 5003, 655, 4944, 3774, 286, 829, 264, 1783, 1491, 11, 264, 1783, 1355, 562, 321, 584, 1783, 3175, 1922, 11, 264, 1783, 1355, 264, 4944, 3774], "avg_logprob": -0.42716732428919885, "compression_ratio": 1.84472049689441, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 31.35, "end": 31.69, "word": "that", "probability": 0.2724609375}, {"start": 31.69, "end": 32.43, "word": " everything", "probability": 0.84228515625}, {"start": 32.43, "end": 32.77, "word": " above", "probability": 0.5263671875}, {"start": 32.77, "end": 32.97, "word": " the", "probability": 0.87744140625}, {"start": 32.97, "end": 33.43, "word": " optical", "probability": 0.9150390625}, {"start": 33.43, "end": 33.91, "word": " axis", "probability": 0.95361328125}, {"start": 33.91, "end": 34.15, "word": " we", "probability": 0.12261962890625}, {"start": 34.15, "end": 34.29, "word": " give", "probability": 0.697265625}, {"start": 34.29, "end": 34.93, "word": " it", "probability": 0.68701171875}, {"start": 34.93, "end": 34.97, "word": " a", "probability": 0.8671875}, {"start": 34.97, "end": 35.19, "word": " positive", "probability": 0.08135986328125}, {"start": 35.19, "end": 35.19, "word": " sign", "probability": 0.83251953125}, {"start": 35.19, "end": 35.55, "word": " and", "probability": 0.487060546875}, {"start": 35.55, "end": 35.81, "word": " everything", "probability": 0.8740234375}, {"start": 35.81, "end": 36.21, "word": " below", "probability": 0.5439453125}, {"start": 36.21, "end": 36.77, "word": " the", "probability": 0.771484375}, {"start": 36.77, "end": 37.21, "word": " optical", "probability": 0.94189453125}, {"start": 37.21, "end": 37.83, "word": " axis", "probability": 0.9716796875}, {"start": 37.83, "end": 39.03, "word": " we", "probability": 0.7607421875}, {"start": 39.03, "end": 39.21, "word": " give", "probability": 0.87109375}, {"start": 39.21, "end": 39.41, "word": " it", "probability": 0.91552734375}, {"start": 39.41, "end": 39.91, "word": " a", "probability": 0.94287109375}, {"start": 39.91, "end": 40.27, "word": " negative", "probability": 0.78076171875}, {"start": 40.27, "end": 40.27, "word": " sign", "probability": 0.88916015625}, {"start": 40.27, "end": 40.99, "word": " and", "probability": 0.5087890625}, {"start": 40.99, "end": 41.29, "word": " we", "probability": 0.791015625}, {"start": 41.29, "end": 41.41, "word": " also", "probability": 0.66015625}, {"start": 41.41, "end": 41.41, "word": " said", "probability": 0.56787109375}, {"start": 41.41, "end": 42.45, "word": " that", "probability": 0.8955078125}, {"start": 42.45, "end": 43.03, "word": " when", "probability": 0.8759765625}, {"start": 43.03, "end": 44.01, "word": " I", "probability": 0.9501953125}, {"start": 44.01, "end": 44.23, "word": " want", "probability": 0.83056640625}, {"start": 44.23, "end": 44.77, "word": " to", "probability": 0.97412109375}, {"start": 44.77, "end": 45.31, "word": " characterize", "probability": 0.2027587890625}, {"start": 45.31, "end": 46.57, "word": " the", "probability": 0.6396484375}, {"start": 46.57, "end": 47.15, "word": " transference", "probability": 0.666748046875}, {"start": 47.15, "end": 47.95, "word": " magnification", "probability": 0.94287109375}, {"start": 47.95, "end": 48.33, "word": " I", "probability": 0.57861328125}, {"start": 48.33, "end": 48.63, "word": " put", "probability": 0.7373046875}, {"start": 48.63, "end": 49.27, "word": " the", "probability": 0.65380859375}, {"start": 49.27, "end": 49.65, "word": " X", "probability": 0.509765625}, {"start": 49.65, "end": 50.05, "word": " mark,", "probability": 0.441650390625}, {"start": 50.55, "end": 50.71, "word": " the", "probability": 0.496337890625}, {"start": 50.71, "end": 51.01, "word": " X", "probability": 0.93701171875}, {"start": 51.01, "end": 51.21, "word": " means", "probability": 0.329345703125}, {"start": 51.21, "end": 51.37, "word": " when", "probability": 0.76318359375}, {"start": 51.37, "end": 51.53, "word": " we", "probability": 0.8388671875}, {"start": 51.53, "end": 51.67, "word": " say", "probability": 0.94189453125}, {"start": 51.67, "end": 52.85, "word": " X", "probability": 0.8818359375}, {"start": 52.85, "end": 53.45, "word": " minus", "probability": 0.9345703125}, {"start": 53.45, "end": 53.91, "word": " half,", "probability": 0.77197265625}, {"start": 54.33, "end": 55.29, "word": " the", "probability": 0.332275390625}, {"start": 55.29, "end": 55.65, "word": " X", "probability": 0.98095703125}, {"start": 55.65, "end": 56.03, "word": " means", "probability": 0.277099609375}, {"start": 56.03, "end": 56.33, "word": " the", "probability": 0.6123046875}, {"start": 56.33, "end": 57.21, "word": " magnification", "probability": 0.979248046875}], "temperature": 1.0}, {"id": 3, "seek": 8062, "start": 57.74, "end": 80.62, "text": "الminus بترمز إلا إن الصورة مجلوبة و القدر هنا بيرمز لي لكمية ال magnification يعني لما أقول x minus نص يعني الصورة مجلوبة لإشارة minus و نص يعني نص ارتفاعها يساوي نص ارتفاع ال object وحكينا أيضا أكدنا على إن transfers magnification رغم إن كلمة magnification تعني التكبير", "tokens": [6027, 2367, 301, 39894, 2288, 2304, 11622, 11933, 15040, 36145, 31767, 13063, 3660, 3714, 7435, 1211, 37746, 3660, 4032, 25062, 3215, 2288, 34105, 4724, 13546, 2304, 11622, 32239, 5296, 24793, 10632, 2423, 4944, 3774, 37495, 22653, 5296, 15042, 5551, 39648, 2031, 3175, 8717, 9381, 37495, 22653, 31767, 13063, 3660, 3714, 7435, 1211, 37746, 3660, 5296, 28814, 8592, 9640, 3660, 3175, 4032, 8717, 9381, 37495, 22653, 8717, 9381, 1975, 43500, 5172, 45761, 11296, 7251, 3794, 995, 45865, 8717, 9381, 1975, 43500, 5172, 45761, 2423, 2657, 4032, 5016, 4117, 1829, 8315, 36632, 11242, 995, 5551, 4117, 3215, 8315, 15844, 36145, 29137, 4944, 3774, 12602, 17082, 2304, 36145, 9122, 19528, 3660, 4944, 3774, 37279, 22653, 16712, 4117, 3555, 13546], "avg_logprob": -0.16960469626972818, "compression_ratio": 1.9318181818181819, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 57.74, "end": 58.4, "word": "الminus", "probability": 0.4584554036458333}, {"start": 58.4, "end": 58.94, "word": " بترمز", "probability": 0.930908203125}, {"start": 58.94, "end": 59.16, "word": " إلا", "probability": 0.36224365234375}, {"start": 59.16, "end": 59.38, "word": " إن", "probability": 0.82470703125}, {"start": 59.38, "end": 59.84, "word": " الصورة", "probability": 0.94970703125}, {"start": 59.84, "end": 60.6, "word": " مجلوبة", "probability": 0.93369140625}, {"start": 60.6, "end": 61.32, "word": " و", "probability": 0.68310546875}, {"start": 61.32, "end": 62.64, "word": " القدر", "probability": 0.8805338541666666}, {"start": 62.64, "end": 62.86, "word": " هنا", "probability": 0.8984375}, {"start": 62.86, "end": 63.76, "word": " بيرمز", "probability": 0.964599609375}, {"start": 63.76, "end": 63.92, "word": " لي", "probability": 0.5771484375}, {"start": 63.92, "end": 64.52, "word": " لكمية", "probability": 0.7422688802083334}, {"start": 64.52, "end": 64.74, "word": " ال", "probability": 0.60595703125}, {"start": 64.74, "end": 65.36, "word": " magnification", "probability": 0.94873046875}, {"start": 65.36, "end": 65.62, "word": " يعني", "probability": 0.66845703125}, {"start": 65.62, "end": 65.76, "word": " لما", "probability": 0.50421142578125}, {"start": 65.76, "end": 65.94, "word": " أقول", "probability": 0.904541015625}, {"start": 65.94, "end": 66.3, "word": " x", "probability": 0.485107421875}, {"start": 66.3, "end": 66.7, "word": " minus", "probability": 0.9091796875}, {"start": 66.7, "end": 67.02, "word": " نص", "probability": 0.966796875}, {"start": 67.02, "end": 67.22, "word": " يعني", "probability": 0.969482421875}, {"start": 67.22, "end": 67.7, "word": " الصورة", "probability": 0.9881184895833334}, {"start": 67.7, "end": 68.26, "word": " مجلوبة", "probability": 0.98310546875}, {"start": 68.26, "end": 68.88, "word": " لإشارة", "probability": 0.86708984375}, {"start": 68.88, "end": 69.26, "word": " minus", "probability": 0.95361328125}, {"start": 69.26, "end": 70.08, "word": " و", "probability": 0.94482421875}, {"start": 70.08, "end": 70.3, "word": " نص", "probability": 0.829833984375}, {"start": 70.3, "end": 70.6, "word": " يعني", "probability": 0.98583984375}, {"start": 70.6, "end": 70.98, "word": " نص", "probability": 0.970703125}, {"start": 70.98, "end": 71.74, "word": " ارتفاعها", "probability": 0.94169921875}, {"start": 71.74, "end": 72.18, "word": " يساوي", "probability": 0.958251953125}, {"start": 72.18, "end": 72.48, "word": " نص", "probability": 0.995361328125}, {"start": 72.48, "end": 73.14, "word": " ارتفاع", "probability": 0.9849853515625}, {"start": 73.14, "end": 73.34, "word": " ال", "probability": 0.974609375}, {"start": 73.34, "end": 73.8, "word": " object", "probability": 0.919921875}, {"start": 73.8, "end": 74.76, "word": " وحكينا", "probability": 0.89697265625}, {"start": 74.76, "end": 75.1, "word": " أيضا", "probability": 0.8974609375}, {"start": 75.1, "end": 75.62, "word": " أكدنا", "probability": 0.9403076171875}, {"start": 75.62, "end": 75.78, "word": " على", "probability": 0.84521484375}, {"start": 75.78, "end": 76.02, "word": " إن", "probability": 0.87353515625}, {"start": 76.02, "end": 76.6, "word": " transfers", "probability": 0.398681640625}, {"start": 76.6, "end": 77.7, "word": " magnification", "probability": 0.90625}, {"start": 77.7, "end": 78.06, "word": " رغم", "probability": 0.9567057291666666}, {"start": 78.06, "end": 78.24, "word": " إن", "probability": 0.93896484375}, {"start": 78.24, "end": 78.72, "word": " كلمة", "probability": 0.9431966145833334}, {"start": 78.72, "end": 79.5, "word": " magnification", "probability": 0.9755859375}, {"start": 79.5, "end": 79.92, "word": " تعني", "probability": 0.8974609375}, {"start": 79.92, "end": 80.62, "word": " التكبير", "probability": 0.9547119140625}], "temperature": 1.0}, {"id": 4, "seek": 8960, "start": 80.88, "end": 89.6, "text": "إلا إن ممكن هي تعني التكبير أو التصغير لو لجيت الرقم هنا واحد، معناته مافي عندي لا تكبير ولا تصغير، معناته الصورة", "tokens": [28814, 15040, 36145, 3714, 43020, 39896, 37279, 22653, 16712, 4117, 3555, 13546, 34051, 16712, 9381, 17082, 13546, 45164, 5296, 7435, 36081, 34892, 4587, 2304, 34105, 36764, 24401, 12399, 20449, 8315, 47395, 19446, 41185, 18871, 16254, 20193, 6055, 4117, 3555, 13546, 49429, 6055, 9381, 17082, 13546, 12399, 20449, 8315, 47395, 31767, 13063, 3660], "avg_logprob": -0.19914505391750695, "compression_ratio": 1.6666666666666667, "no_speech_prob": 1.2636184692382812e-05, "words": [{"start": 80.88, "end": 81.34, "word": "إلا", "probability": 0.483154296875}, {"start": 81.34, "end": 81.52, "word": " إن", "probability": 0.5830078125}, {"start": 81.52, "end": 81.9, "word": " ممكن", "probability": 0.81494140625}, {"start": 81.9, "end": 82.08, "word": " هي", "probability": 0.464111328125}, {"start": 82.08, "end": 82.54, "word": " تعني", "probability": 0.823974609375}, {"start": 82.54, "end": 83.28, "word": " التكبير", "probability": 0.970703125}, {"start": 83.28, "end": 83.6, "word": " أو", "probability": 0.94091796875}, {"start": 83.6, "end": 84.52, "word": " التصغير", "probability": 0.9930419921875}, {"start": 84.52, "end": 85.0, "word": " لو", "probability": 0.277587890625}, {"start": 85.0, "end": 85.38, "word": " لجيت", "probability": 0.8712565104166666}, {"start": 85.38, "end": 85.8, "word": " الرقم", "probability": 0.98583984375}, {"start": 85.8, "end": 85.98, "word": " هنا", "probability": 0.96435546875}, {"start": 85.98, "end": 86.46, "word": " واحد،", "probability": 0.8243815104166666}, {"start": 86.46, "end": 86.78, "word": " معناته", "probability": 0.80517578125}, {"start": 86.78, "end": 87.14, "word": " مافي", "probability": 0.841796875}, {"start": 87.14, "end": 87.42, "word": " عندي", "probability": 0.64794921875}, {"start": 87.42, "end": 87.52, "word": " لا", "probability": 0.93408203125}, {"start": 87.52, "end": 87.98, "word": " تكبير", "probability": 0.9886474609375}, {"start": 87.98, "end": 88.16, "word": " ولا", "probability": 0.92822265625}, {"start": 88.16, "end": 88.7, "word": " تصغير،", "probability": 0.95302734375}, {"start": 88.7, "end": 89.02, "word": " معناته", "probability": 0.9715169270833334}, {"start": 89.02, "end": 89.6, "word": " الصورة", "probability": 0.9803059895833334}], "temperature": 1.0}, {"id": 5, "seek": 11583, "start": 90.43, "end": 115.83, "text": "Irtifaaha يساوي ارتفاع الجسم. الصورة يساوي .. ارتفاعها يساوي ارتفاع الجسم لو أقل من واحد معناته فيه تصغير ولم .. لو أكتر من واحد بيكون عندي تكبير في حجم الصورة أو في ارتفاع الصورة مقارنة مع ارتفاع الجسم. Generally the multiplication sign اللي هي ال X", "tokens": [40, 17721, 29634, 4408, 7251, 3794, 995, 45865, 1975, 43500, 5172, 45761, 25724, 38251, 13, 31767, 13063, 3660, 7251, 3794, 995, 45865, 4386, 1975, 43500, 5172, 45761, 11296, 7251, 3794, 995, 45865, 1975, 43500, 5172, 45761, 25724, 38251, 45164, 5551, 4587, 1211, 9154, 36764, 24401, 20449, 8315, 47395, 8978, 3224, 6055, 9381, 17082, 13546, 4032, 19528, 4386, 45164, 5551, 4117, 2655, 2288, 9154, 36764, 24401, 4724, 1829, 30544, 18871, 16254, 6055, 4117, 3555, 13546, 8978, 11331, 7435, 2304, 31767, 13063, 3660, 34051, 8978, 1975, 43500, 5172, 45761, 31767, 13063, 3660, 3714, 4587, 9640, 1863, 3660, 20449, 1975, 43500, 5172, 45761, 25724, 38251, 13, 21082, 264, 27290, 1465, 13672, 1829, 39896, 2423, 1783], "avg_logprob": -0.15873893805309736, "compression_ratio": 1.8590909090909091, "no_speech_prob": 6.079673767089844e-06, "words": [{"start": 90.43, "end": 91.25, "word": "Irtifaaha", "probability": 0.518798828125}, {"start": 91.25, "end": 91.91, "word": " يساوي", "probability": 0.73590087890625}, {"start": 91.91, "end": 93.33, "word": " ارتفاع", "probability": 0.9713134765625}, {"start": 93.33, "end": 95.27, "word": " الجسم.", "probability": 0.939208984375}, {"start": 95.37, "end": 95.73, "word": " الصورة", "probability": 0.74755859375}, {"start": 95.73, "end": 96.15, "word": " يساوي", "probability": 0.9517822265625}, {"start": 96.15, "end": 96.33, "word": " ..", "probability": 0.65576171875}, {"start": 96.33, "end": 96.97, "word": " ارتفاعها", "probability": 0.9583984375}, {"start": 96.97, "end": 97.19, "word": " يساوي", "probability": 0.9735107421875}, {"start": 97.19, "end": 97.55, "word": " ارتفاع", "probability": 0.984375}, {"start": 97.55, "end": 98.05, "word": " الجسم", "probability": 0.97607421875}, {"start": 98.05, "end": 98.61, "word": " لو", "probability": 0.708984375}, {"start": 98.61, "end": 99.01, "word": " أقل", "probability": 0.8728841145833334}, {"start": 99.01, "end": 99.17, "word": " من", "probability": 0.99560546875}, {"start": 99.17, "end": 99.43, "word": " واحد", "probability": 0.99072265625}, {"start": 99.43, "end": 99.81, "word": " معناته", "probability": 0.8199869791666666}, {"start": 99.81, "end": 100.05, "word": " فيه", "probability": 0.7705078125}, {"start": 100.05, "end": 100.61, "word": " تصغير", "probability": 0.9964599609375}, {"start": 100.61, "end": 101.43, "word": " ولم", "probability": 0.5352783203125}, {"start": 101.43, "end": 101.57, "word": " ..", "probability": 0.90625}, {"start": 101.57, "end": 101.87, "word": " لو", "probability": 0.951171875}, {"start": 101.87, "end": 102.61, "word": " أكتر", "probability": 0.850341796875}, {"start": 102.61, "end": 102.75, "word": " من", "probability": 0.99462890625}, {"start": 102.75, "end": 103.11, "word": " واحد", "probability": 0.99658203125}, {"start": 103.11, "end": 103.65, "word": " بيكون", "probability": 0.9130859375}, {"start": 103.65, "end": 104.27, "word": " عندي", "probability": 0.855224609375}, {"start": 104.27, "end": 105.03, "word": " تكبير", "probability": 0.9571533203125}, {"start": 105.03, "end": 106.27, "word": " في", "probability": 0.96044921875}, {"start": 106.27, "end": 106.63, "word": " حجم", "probability": 0.97900390625}, {"start": 106.63, "end": 107.07, "word": " الصورة", "probability": 0.98681640625}, {"start": 107.07, "end": 107.21, "word": " أو", "probability": 0.65283203125}, {"start": 107.21, "end": 107.35, "word": " في", "probability": 0.908203125}, {"start": 107.35, "end": 107.77, "word": " ارتفاع", "probability": 0.97998046875}, {"start": 107.77, "end": 108.15, "word": " الصورة", "probability": 0.9903971354166666}, {"start": 108.15, "end": 108.75, "word": " مقارنة", "probability": 0.9744140625}, {"start": 108.75, "end": 108.95, "word": " مع", "probability": 0.990234375}, {"start": 108.95, "end": 109.65, "word": " ارتفاع", "probability": 0.9896240234375}, {"start": 109.65, "end": 110.91, "word": " الجسم.", "probability": 0.992431640625}, {"start": 111.59, "end": 112.33, "word": " Generally", "probability": 0.60205078125}, {"start": 112.33, "end": 113.11, "word": " the", "probability": 0.525390625}, {"start": 113.11, "end": 113.71, "word": " multiplication", "probability": 0.84765625}, {"start": 113.71, "end": 114.55, "word": " sign", "probability": 0.9140625}, {"start": 114.55, "end": 115.15, "word": " اللي", "probability": 0.779541015625}, {"start": 115.15, "end": 115.31, "word": " هي", "probability": 0.80908203125}, {"start": 115.31, "end": 115.49, "word": " ال", "probability": 0.82666015625}, {"start": 115.49, "end": 115.83, "word": " X", "probability": 0.734375}], "temperature": 1.0}, {"id": 6, "seek": 13950, "start": 116.12, "end": 139.5, "text": "is used to indicate magnification, we use it to indicate magnification, to indicate magnification The last thing we remember from the previous lecture is that for transfers, magnification is not distinguished because this is a percentage and a percentage is not distinguished We distinguish heights with centimeters or meters or millimeters", "tokens": [271, 1143, 281, 13330, 4944, 3774, 11, 321, 764, 309, 281, 13330, 4944, 3774, 11, 281, 13330, 4944, 3774, 440, 1036, 551, 321, 1604, 490, 264, 3894, 7991, 307, 300, 337, 29137, 11, 4944, 3774, 307, 406, 21702, 570, 341, 307, 257, 9668, 293, 257, 9668, 307, 406, 21702, 492, 20206, 25930, 365, 23300, 420, 8146, 420, 24388], "avg_logprob": -0.3977754146365796, "compression_ratio": 2.073170731707317, "no_speech_prob": 2.5391578674316406e-05, "words": [{"start": 116.12, "end": 116.66, "word": "is", "probability": 0.94189453125}, {"start": 116.66, "end": 117.08, "word": " used", "probability": 0.91845703125}, {"start": 117.08, "end": 117.28, "word": " to", "probability": 0.97900390625}, {"start": 117.28, "end": 118.04, "word": " indicate", "probability": 0.876953125}, {"start": 118.04, "end": 119.36, "word": " magnification,", "probability": 0.955810546875}, {"start": 119.48, "end": 119.66, "word": " we", "probability": 0.66650390625}, {"start": 119.66, "end": 119.86, "word": " use", "probability": 0.87109375}, {"start": 119.86, "end": 120.28, "word": " it", "probability": 0.9365234375}, {"start": 120.28, "end": 120.58, "word": " to", "probability": 0.9365234375}, {"start": 120.58, "end": 120.96, "word": " indicate", "probability": 0.578125}, {"start": 120.96, "end": 122.16, "word": " magnification,", "probability": 0.933349609375}, {"start": 122.22, "end": 122.74, "word": " to", "probability": 0.8642578125}, {"start": 122.74, "end": 123.18, "word": " indicate", "probability": 0.73779296875}, {"start": 123.18, "end": 124.86, "word": " magnification", "probability": 0.96533203125}, {"start": 124.86, "end": 125.58, "word": " The", "probability": 0.1153564453125}, {"start": 125.58, "end": 125.84, "word": " last", "probability": 0.87646484375}, {"start": 125.84, "end": 126.08, "word": " thing", "probability": 0.84765625}, {"start": 126.08, "end": 126.26, "word": " we", "probability": 0.59375}, {"start": 126.26, "end": 126.6, "word": " remember", "probability": 0.384521484375}, {"start": 126.6, "end": 126.9, "word": " from", "probability": 0.83056640625}, {"start": 126.9, "end": 127.08, "word": " the", "probability": 0.81640625}, {"start": 127.08, "end": 127.78, "word": " previous", "probability": 0.81103515625}, {"start": 127.78, "end": 127.78, "word": " lecture", "probability": 0.84375}, {"start": 127.78, "end": 128.2, "word": " is", "probability": 0.7451171875}, {"start": 128.2, "end": 128.68, "word": " that", "probability": 0.89990234375}, {"start": 128.68, "end": 128.8, "word": " for", "probability": 0.55322265625}, {"start": 128.8, "end": 129.44, "word": " transfers,", "probability": 0.83447265625}, {"start": 129.56, "end": 130.28, "word": " magnification", "probability": 0.972900390625}, {"start": 130.28, "end": 130.5, "word": " is", "probability": 0.6240234375}, {"start": 130.5, "end": 130.62, "word": " not", "probability": 0.86572265625}, {"start": 130.62, "end": 131.26, "word": " distinguished", "probability": 0.177734375}, {"start": 131.26, "end": 131.98, "word": " because", "probability": 0.580078125}, {"start": 131.98, "end": 132.36, "word": " this", "probability": 0.488525390625}, {"start": 132.36, "end": 132.56, "word": " is", "probability": 0.8798828125}, {"start": 132.56, "end": 132.94, "word": " a", "probability": 0.63671875}, {"start": 132.94, "end": 133.26, "word": " percentage", "probability": 0.66552734375}, {"start": 133.26, "end": 133.44, "word": " and", "probability": 0.7021484375}, {"start": 133.44, "end": 133.56, "word": " a", "probability": 0.202392578125}, {"start": 133.56, "end": 133.8, "word": " percentage", "probability": 0.93115234375}, {"start": 133.8, "end": 134.06, "word": " is", "probability": 0.625}, {"start": 134.06, "end": 134.06, "word": " not", "probability": 0.9228515625}, {"start": 134.06, "end": 134.58, "word": " distinguished", "probability": 0.83984375}, {"start": 134.58, "end": 135.18, "word": " We", "probability": 0.1085205078125}, {"start": 135.18, "end": 136.56, "word": " distinguish", "probability": 0.88720703125}, {"start": 136.56, "end": 136.56, "word": " heights", "probability": 0.81494140625}, {"start": 136.56, "end": 136.88, "word": " with", "probability": 0.47900390625}, {"start": 136.88, "end": 137.82, "word": " centimeters", "probability": 0.56298828125}, {"start": 137.82, "end": 138.24, "word": " or", "probability": 0.71728515625}, {"start": 138.24, "end": 138.6, "word": " meters", "probability": 0.76953125}, {"start": 138.6, "end": 138.92, "word": " or", "probability": 0.95263671875}, {"start": 138.92, "end": 139.5, "word": " millimeters", "probability": 0.921875}], "temperature": 1.0}, {"id": 7, "seek": 16908, "start": 140.52, "end": 169.08, "text": "When we calculate the transfers magnification, it means that the picture here in this example is half the height of the object and upside down But when we say half the height of the object, we do not distinguish with this, the ratio does not distinguish, does not distinguish Today we will learn about something new in geometrical optics that helps us or facilitates calculation of transfers magnification and facilitates other things", "tokens": [11645, 321, 8873, 264, 29137, 4944, 3774, 11, 309, 1355, 300, 264, 3036, 510, 294, 341, 1365, 307, 1922, 264, 6681, 295, 264, 2657, 293, 14119, 760, 583, 562, 321, 584, 1922, 264, 6681, 295, 264, 2657, 11, 321, 360, 406, 20206, 365, 341, 11, 264, 8509, 775, 406, 20206, 11, 775, 406, 20206, 2692, 321, 486, 1466, 466, 746, 777, 294, 12956, 15888, 42599, 300, 3665, 505, 420, 10217, 30035, 17108, 295, 29137, 4944, 3774, 293, 10217, 30035, 661, 721], "avg_logprob": -0.39253048198979074, "compression_ratio": 1.9288888888888889, "no_speech_prob": 6.139278411865234e-06, "words": [{"start": 140.52, "end": 140.96, "word": "When", "probability": 0.6630859375}, {"start": 140.96, "end": 141.66, "word": " we", "probability": 0.9248046875}, {"start": 141.66, "end": 141.88, "word": " calculate", "probability": 0.689453125}, {"start": 141.88, "end": 142.04, "word": " the", "probability": 0.284912109375}, {"start": 142.04, "end": 142.52, "word": " transfers", "probability": 0.32421875}, {"start": 142.52, "end": 143.38, "word": " magnification,", "probability": 0.87353515625}, {"start": 143.92, "end": 144.02, "word": " it", "probability": 0.345947265625}, {"start": 144.02, "end": 144.16, "word": " means", "probability": 0.73681640625}, {"start": 144.16, "end": 144.58, "word": " that", "probability": 0.8740234375}, {"start": 144.58, "end": 144.86, "word": " the", "probability": 0.69140625}, {"start": 144.86, "end": 145.14, "word": " picture", "probability": 0.45654296875}, {"start": 145.14, "end": 145.62, "word": " here", "probability": 0.66064453125}, {"start": 145.62, "end": 145.78, "word": " in", "probability": 0.6484375}, {"start": 145.78, "end": 145.86, "word": " this", "probability": 0.9072265625}, {"start": 145.86, "end": 146.28, "word": " example", "probability": 0.94921875}, {"start": 146.28, "end": 146.7, "word": " is", "probability": 0.7509765625}, {"start": 146.7, "end": 146.96, "word": " half", "probability": 0.71142578125}, {"start": 146.96, "end": 147.16, "word": " the", "probability": 0.54248046875}, {"start": 147.16, "end": 147.5, "word": " height", "probability": 0.73583984375}, {"start": 147.5, "end": 147.62, "word": " of", "probability": 0.96630859375}, {"start": 147.62, "end": 147.7, "word": " the", "probability": 0.89892578125}, {"start": 147.7, "end": 148.12, "word": " object", "probability": 0.94580078125}, {"start": 148.12, "end": 148.38, "word": " and", "probability": 0.74072265625}, {"start": 148.38, "end": 148.66, "word": " upside", "probability": 0.296142578125}, {"start": 148.66, "end": 149.04, "word": " down", "probability": 0.759765625}, {"start": 149.04, "end": 149.6, "word": " But", "probability": 0.47314453125}, {"start": 149.6, "end": 149.8, "word": " when", "probability": 0.8095703125}, {"start": 149.8, "end": 149.92, "word": " we", "probability": 0.89453125}, {"start": 149.92, "end": 150.04, "word": " say", "probability": 0.94775390625}, {"start": 150.04, "end": 150.24, "word": " half", "probability": 0.79345703125}, {"start": 150.24, "end": 150.46, "word": " the", "probability": 0.76318359375}, {"start": 150.46, "end": 150.64, "word": " height", "probability": 0.9140625}, {"start": 150.64, "end": 150.74, "word": " of", "probability": 0.962890625}, {"start": 150.74, "end": 150.82, "word": " the", "probability": 0.89111328125}, {"start": 150.82, "end": 151.04, "word": " object,", "probability": 0.97314453125}, {"start": 151.14, "end": 151.34, "word": " we", "probability": 0.7744140625}, {"start": 151.34, "end": 151.34, "word": " do", "probability": 0.395751953125}, {"start": 151.34, "end": 151.34, "word": " not", "probability": 0.94580078125}, {"start": 151.34, "end": 151.74, "word": " distinguish", "probability": 0.344970703125}, {"start": 151.74, "end": 153.0, "word": " with", "probability": 0.308837890625}, {"start": 153.0, "end": 153.8, "word": " this,", "probability": 0.7705078125}, {"start": 153.84, "end": 154.1, "word": " the", "probability": 0.404052734375}, {"start": 154.1, "end": 154.42, "word": " ratio", "probability": 0.6845703125}, {"start": 154.42, "end": 154.8, "word": " does", "probability": 0.4169921875}, {"start": 154.8, "end": 154.82, "word": " not", "probability": 0.94921875}, {"start": 154.82, "end": 155.4, "word": " distinguish,", "probability": 0.464599609375}, {"start": 155.56, "end": 155.74, "word": " does", "probability": 0.7158203125}, {"start": 155.74, "end": 156.0, "word": " not", "probability": 0.9443359375}, {"start": 156.0, "end": 156.32, "word": " distinguish", "probability": 0.830078125}, {"start": 156.32, "end": 157.56, "word": " Today", "probability": 0.8251953125}, {"start": 157.56, "end": 157.82, "word": " we", "probability": 0.74072265625}, {"start": 157.82, "end": 158.0, "word": " will", "probability": 0.5224609375}, {"start": 158.0, "end": 158.42, "word": " learn", "probability": 0.6416015625}, {"start": 158.42, "end": 158.94, "word": " about", "probability": 0.53173828125}, {"start": 158.94, "end": 159.64, "word": " something", "probability": 0.4609375}, {"start": 159.64, "end": 160.1, "word": " new", "probability": 0.9052734375}, {"start": 160.1, "end": 160.44, "word": " in", "probability": 0.875}, {"start": 160.44, "end": 161.5, "word": " geometrical", "probability": 0.92724609375}, {"start": 161.5, "end": 162.04, "word": " optics", "probability": 0.9716796875}, {"start": 162.04, "end": 162.58, "word": " that", "probability": 0.46240234375}, {"start": 162.58, "end": 162.94, "word": " helps", "probability": 0.75732421875}, {"start": 162.94, "end": 163.66, "word": " us", "probability": 0.87939453125}, {"start": 163.66, "end": 163.84, "word": " or", "probability": 0.67431640625}, {"start": 163.84, "end": 164.4, "word": " facilitates", "probability": 0.7490234375}, {"start": 164.4, "end": 165.78, "word": " calculation", "probability": 0.233642578125}, {"start": 165.78, "end": 166.12, "word": " of", "probability": 0.73486328125}, {"start": 166.12, "end": 166.78, "word": " transfers", "probability": 0.5927734375}, {"start": 166.78, "end": 167.62, "word": " magnification", "probability": 0.897216796875}, {"start": 167.62, "end": 167.8, "word": " and", "probability": 0.814453125}, {"start": 167.8, "end": 168.22, "word": " facilitates", "probability": 0.83447265625}, {"start": 168.22, "end": 168.64, "word": " other", "probability": 0.51904296875}, {"start": 168.64, "end": 169.08, "word": " things", "probability": 0.8037109375}], "temperature": 1.0}, {"id": 8, "seek": 19832, "start": 169.76, "end": 198.32, "text": "Now, we need to know that every optical system exists there are many references to this optical system that help us to understand the relation between the image and the object in the optical system we said that the light leaves the object and passes through the optical system and this optical system forms an image of what is in the space of this object so, the light leaves the object", "tokens": [13267, 11, 321, 643, 281, 458, 300, 633, 20674, 1185, 8198, 456, 366, 867, 15400, 281, 341, 20674, 1185, 300, 854, 505, 281, 1223, 264, 9721, 1296, 264, 3256, 293, 264, 2657, 294, 264, 20674, 1185, 321, 848, 300, 264, 1442, 5510, 264, 2657, 293, 11335, 807, 264, 20674, 1185, 293, 341, 20674, 1185, 6422, 364, 3256, 295, 437, 307, 294, 264, 1901, 295, 341, 2657, 370, 11, 264, 1442, 5510, 264, 2657], "avg_logprob": -0.484375004430075, "compression_ratio": 2.064171122994652, "no_speech_prob": 3.0994415283203125e-06, "words": [{"start": 169.76, "end": 170.4, "word": "Now,", "probability": 0.58984375}, {"start": 171.04, "end": 171.36, "word": " we", "probability": 0.86962890625}, {"start": 171.36, "end": 171.48, "word": " need", "probability": 0.3857421875}, {"start": 171.48, "end": 171.62, "word": " to", "probability": 0.97412109375}, {"start": 171.62, "end": 171.84, "word": " know", "probability": 0.7861328125}, {"start": 171.84, "end": 172.08, "word": " that", "probability": 0.90185546875}, {"start": 172.08, "end": 172.36, "word": " every", "probability": 0.3720703125}, {"start": 172.36, "end": 172.8, "word": " optical", "probability": 0.919921875}, {"start": 172.8, "end": 173.42, "word": " system", "probability": 0.95068359375}, {"start": 173.42, "end": 175.72, "word": " exists", "probability": 0.525390625}, {"start": 175.72, "end": 177.3, "word": " there", "probability": 0.22900390625}, {"start": 177.3, "end": 177.76, "word": " are", "probability": 0.86572265625}, {"start": 177.76, "end": 178.48, "word": " many", "probability": 0.376708984375}, {"start": 178.48, "end": 179.18, "word": " references", "probability": 0.200927734375}, {"start": 179.18, "end": 179.58, "word": " to", "probability": 0.481689453125}, {"start": 179.58, "end": 179.82, "word": " this", "probability": 0.8076171875}, {"start": 179.82, "end": 180.28, "word": " optical", "probability": 0.96533203125}, {"start": 180.28, "end": 180.82, "word": " system", "probability": 0.94189453125}, {"start": 180.82, "end": 180.98, "word": " that", "probability": 0.48046875}, {"start": 180.98, "end": 181.34, "word": " help", "probability": 0.48828125}, {"start": 181.34, "end": 182.02, "word": " us", "probability": 0.92529296875}, {"start": 182.02, "end": 182.3, "word": " to", "probability": 0.32666015625}, {"start": 182.3, "end": 182.72, "word": " understand", "probability": 0.7255859375}, {"start": 182.72, "end": 182.92, "word": " the", "probability": 0.74365234375}, {"start": 182.92, "end": 183.2, "word": " relation", "probability": 0.5068359375}, {"start": 183.2, "end": 183.52, "word": " between", "probability": 0.6376953125}, {"start": 183.52, "end": 183.58, "word": " the", "probability": 0.541015625}, {"start": 183.58, "end": 183.8, "word": " image", "probability": 0.50146484375}, {"start": 183.8, "end": 184.62, "word": " and", "probability": 0.87841796875}, {"start": 184.62, "end": 184.86, "word": " the", "probability": 0.802734375}, {"start": 184.86, "end": 185.06, "word": " object", "probability": 0.501953125}, {"start": 185.06, "end": 185.34, "word": " in", "probability": 0.323974609375}, {"start": 185.34, "end": 185.42, "word": " the", "probability": 0.671875}, {"start": 185.42, "end": 185.76, "word": " optical", "probability": 0.97412109375}, {"start": 185.76, "end": 186.28, "word": " system", "probability": 0.9501953125}, {"start": 186.28, "end": 186.52, "word": " we", "probability": 0.382080078125}, {"start": 186.52, "end": 186.76, "word": " said", "probability": 0.80126953125}, {"start": 186.76, "end": 186.98, "word": " that", "probability": 0.68359375}, {"start": 186.98, "end": 187.0, "word": " the", "probability": 0.359130859375}, {"start": 187.0, "end": 187.12, "word": " light", "probability": 0.857421875}, {"start": 187.12, "end": 187.58, "word": " leaves", "probability": 0.14013671875}, {"start": 187.58, "end": 188.02, "word": " the", "probability": 0.7685546875}, {"start": 188.02, "end": 188.3, "word": " object", "probability": 0.70556640625}, {"start": 188.3, "end": 189.1, "word": " and", "probability": 0.398681640625}, {"start": 189.1, "end": 189.74, "word": " passes", "probability": 0.277099609375}, {"start": 189.74, "end": 190.08, "word": " through", "probability": 0.8369140625}, {"start": 190.08, "end": 190.28, "word": " the", "probability": 0.86083984375}, {"start": 190.28, "end": 190.58, "word": " optical", "probability": 0.97265625}, {"start": 190.58, "end": 191.08, "word": " system", "probability": 0.9453125}, {"start": 191.08, "end": 191.22, "word": " and", "probability": 0.7373046875}, {"start": 191.22, "end": 191.4, "word": " this", "probability": 0.8037109375}, {"start": 191.4, "end": 191.8, "word": " optical", "probability": 0.9755859375}, {"start": 191.8, "end": 192.34, "word": " system", "probability": 0.95068359375}, {"start": 192.34, "end": 192.82, "word": " forms", "probability": 0.411376953125}, {"start": 192.82, "end": 193.1, "word": " an", "probability": 0.341796875}, {"start": 193.1, "end": 193.2, "word": " image", "probability": 0.91015625}, {"start": 193.2, "end": 193.52, "word": " of", "probability": 0.55078125}, {"start": 193.52, "end": 193.54, "word": " what", "probability": 0.77587890625}, {"start": 193.54, "end": 194.36, "word": " is", "probability": 0.55615234375}, {"start": 194.36, "end": 194.46, "word": " in", "probability": 0.744140625}, {"start": 194.46, "end": 194.54, "word": " the", "probability": 0.68603515625}, {"start": 194.54, "end": 195.0, "word": " space", "probability": 0.33154296875}, {"start": 195.0, "end": 195.5, "word": " of", "probability": 0.51953125}, {"start": 195.5, "end": 195.9, "word": " this", "probability": 0.78759765625}, {"start": 195.9, "end": 196.4, "word": " object", "probability": 0.9560546875}, {"start": 196.4, "end": 196.74, "word": " so,", "probability": 0.4072265625}, {"start": 196.88, "end": 197.06, "word": " the", "probability": 0.6005859375}, {"start": 197.06, "end": 197.16, "word": " light", "probability": 0.86328125}, {"start": 197.16, "end": 197.52, "word": " leaves", "probability": 0.7138671875}, {"start": 197.52, "end": 198.04, "word": " the", "probability": 0.88623046875}, {"start": 198.04, "end": 198.32, "word": " object", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 9, "seek": 22823, "start": 199.07, "end": 228.23, "text": "towards the formation of the image, of course with the help of the optical system Now, to know the relationship between the body and the optical system and the image and their locations in space, we use a lot of reference things The first reference thing that came to us was the optical axis, the optical axis One might ask, how is this considered a reference thing? We say, yes, the heights are measured from the optical axis", "tokens": [83, 305, 2287, 264, 11723, 295, 264, 3256, 11, 295, 1164, 365, 264, 854, 295, 264, 20674, 1185, 823, 11, 281, 458, 264, 2480, 1296, 264, 1772, 293, 264, 20674, 1185, 293, 264, 3256, 293, 641, 9253, 294, 1901, 11, 321, 764, 257, 688, 295, 6408, 721, 440, 700, 6408, 551, 300, 1361, 281, 505, 390, 264, 20674, 10298, 11, 264, 20674, 10298, 1485, 1062, 1029, 11, 577, 307, 341, 4888, 257, 6408, 551, 30, 492, 584, 11, 2086, 11, 264, 25930, 366, 12690, 490, 264, 20674, 10298], "avg_logprob": -0.41643259230624424, "compression_ratio": 1.9189189189189189, "no_speech_prob": 8.344650268554688e-06, "words": [{"start": 199.07, "end": 199.63, "word": "towards", "probability": 0.7118326822916666}, {"start": 199.63, "end": 199.85, "word": " the", "probability": 0.318359375}, {"start": 199.85, "end": 200.09, "word": " formation", "probability": 0.80224609375}, {"start": 200.09, "end": 200.23, "word": " of", "probability": 0.970703125}, {"start": 200.23, "end": 200.31, "word": " the", "probability": 0.6611328125}, {"start": 200.31, "end": 200.55, "word": " image,", "probability": 0.6005859375}, {"start": 200.91, "end": 200.97, "word": " of", "probability": 0.57421875}, {"start": 200.97, "end": 201.09, "word": " course", "probability": 0.96142578125}, {"start": 201.09, "end": 201.29, "word": " with", "probability": 0.59130859375}, {"start": 201.29, "end": 201.41, "word": " the", "probability": 0.8681640625}, {"start": 201.41, "end": 201.73, "word": " help", "probability": 0.79052734375}, {"start": 201.73, "end": 201.95, "word": " of", "probability": 0.96728515625}, {"start": 201.95, "end": 202.05, "word": " the", "probability": 0.70263671875}, {"start": 202.05, "end": 202.39, "word": " optical", "probability": 0.9248046875}, {"start": 202.39, "end": 203.31, "word": " system", "probability": 0.94970703125}, {"start": 203.31, "end": 203.89, "word": " Now,", "probability": 0.71875}, {"start": 203.91, "end": 204.17, "word": " to", "probability": 0.6533203125}, {"start": 204.17, "end": 204.69, "word": " know", "probability": 0.6123046875}, {"start": 204.69, "end": 205.59, "word": " the", "probability": 0.8642578125}, {"start": 205.59, "end": 206.01, "word": " relationship", "probability": 0.45166015625}, {"start": 206.01, "end": 206.35, "word": " between", "probability": 0.87451171875}, {"start": 206.35, "end": 206.51, "word": " the", "probability": 0.85009765625}, {"start": 206.51, "end": 206.73, "word": " body", "probability": 0.499755859375}, {"start": 206.73, "end": 206.93, "word": " and", "probability": 0.6650390625}, {"start": 206.93, "end": 206.99, "word": " the", "probability": 0.80419921875}, {"start": 206.99, "end": 207.33, "word": " optical", "probability": 0.96630859375}, {"start": 207.33, "end": 207.95, "word": " system", "probability": 0.94580078125}, {"start": 207.95, "end": 208.69, "word": " and", "probability": 0.63525390625}, {"start": 208.69, "end": 209.35, "word": " the", "probability": 0.818359375}, {"start": 209.35, "end": 209.65, "word": " image", "probability": 0.77001953125}, {"start": 209.65, "end": 210.09, "word": " and", "probability": 0.79931640625}, {"start": 210.09, "end": 210.19, "word": " their", "probability": 0.8193359375}, {"start": 210.19, "end": 210.57, "word": " locations", "probability": 0.71484375}, {"start": 210.57, "end": 210.87, "word": " in", "probability": 0.90625}, {"start": 210.87, "end": 211.23, "word": " space,", "probability": 0.43798828125}, {"start": 211.41, "end": 211.51, "word": " we", "probability": 0.93017578125}, {"start": 211.51, "end": 211.97, "word": " use", "probability": 0.85693359375}, {"start": 211.97, "end": 212.83, "word": " a", "probability": 0.281494140625}, {"start": 212.83, "end": 212.97, "word": " lot", "probability": 0.93603515625}, {"start": 212.97, "end": 213.19, "word": " of", "probability": 0.951171875}, {"start": 213.19, "end": 213.47, "word": " reference", "probability": 0.419189453125}, {"start": 213.47, "end": 213.85, "word": " things", "probability": 0.3720703125}, {"start": 213.85, "end": 214.61, "word": " The", "probability": 0.57080078125}, {"start": 214.61, "end": 214.81, "word": " first", "probability": 0.8876953125}, {"start": 214.81, "end": 215.41, "word": " reference", "probability": 0.72802734375}, {"start": 215.41, "end": 215.59, "word": " thing", "probability": 0.6328125}, {"start": 215.59, "end": 215.77, "word": " that", "probability": 0.6064453125}, {"start": 215.77, "end": 215.77, "word": " came", "probability": 0.206298828125}, {"start": 215.77, "end": 215.99, "word": " to", "probability": 0.62060546875}, {"start": 215.99, "end": 216.17, "word": " us", "probability": 0.48095703125}, {"start": 216.17, "end": 216.57, "word": " was", "probability": 0.5595703125}, {"start": 216.57, "end": 218.03, "word": " the", "probability": 0.8046875}, {"start": 218.03, "end": 218.75, "word": " optical", "probability": 0.95458984375}, {"start": 218.75, "end": 219.39, "word": " axis,", "probability": 0.9111328125}, {"start": 219.53, "end": 219.75, "word": " the", "probability": 0.72412109375}, {"start": 219.75, "end": 220.15, "word": " optical", "probability": 0.962890625}, {"start": 220.15, "end": 220.73, "word": " axis", "probability": 0.95654296875}, {"start": 220.73, "end": 221.19, "word": " One", "probability": 0.2578125}, {"start": 221.19, "end": 221.45, "word": " might", "probability": 0.47509765625}, {"start": 221.45, "end": 221.89, "word": " ask,", "probability": 0.599609375}, {"start": 222.03, "end": 222.19, "word": " how", "probability": 0.6376953125}, {"start": 222.19, "end": 222.45, "word": " is", "probability": 0.2861328125}, {"start": 222.45, "end": 223.03, "word": " this", "probability": 0.697265625}, {"start": 223.03, "end": 223.43, "word": " considered", "probability": 0.42529296875}, {"start": 223.43, "end": 223.63, "word": " a", "probability": 0.80517578125}, {"start": 223.63, "end": 224.01, "word": " reference", "probability": 0.92431640625}, {"start": 224.01, "end": 224.07, "word": " thing?", "probability": 0.806640625}, {"start": 224.19, "end": 224.25, "word": " We", "probability": 0.488525390625}, {"start": 224.25, "end": 224.33, "word": " say,", "probability": 0.796875}, {"start": 224.45, "end": 224.53, "word": " yes,", "probability": 0.74951171875}, {"start": 224.81, "end": 225.01, "word": " the", "probability": 0.45751953125}, {"start": 225.01, "end": 225.51, "word": " heights", "probability": 0.62353515625}, {"start": 225.51, "end": 225.87, "word": " are", "probability": 0.8330078125}, {"start": 225.87, "end": 226.21, "word": " measured", "probability": 0.49609375}, {"start": 226.21, "end": 226.91, "word": " from", "probability": 0.8056640625}, {"start": 226.91, "end": 227.13, "word": " the", "probability": 0.9208984375}, {"start": 227.13, "end": 227.59, "word": " optical", "probability": 0.9560546875}, {"start": 227.59, "end": 228.23, "word": " axis", "probability": 0.95947265625}], "temperature": 1.0}, {"id": 10, "seek": 25590, "start": 228.4, "end": 255.9, "text": "So, the height of the body, we say from the highest point in the body, we drop a column when we reach the optical axis, which means the point that ends with us, the optical axis. Also, the height of the image is measured from the optical axis, is measured from the optical axis. So, the height of the image or the height of the body means a comparison or departure from the optical axis, which means the point of addiction or the point of addiction. Now we want to get to know today about", "tokens": [6455, 11, 264, 6681, 295, 264, 1772, 11, 321, 584, 490, 264, 6343, 935, 294, 264, 1772, 11, 321, 3270, 257, 7738, 562, 321, 2524, 264, 20674, 10298, 11, 597, 1355, 264, 935, 300, 5314, 365, 505, 11, 264, 20674, 10298, 13, 2743, 11, 264, 6681, 295, 264, 3256, 307, 12690, 490, 264, 20674, 10298, 11, 307, 12690, 490, 264, 20674, 10298, 13, 407, 11, 264, 6681, 295, 264, 3256, 420, 264, 6681, 295, 264, 1772, 1355, 257, 9660, 420, 25866, 490, 264, 20674, 10298, 11, 597, 1355, 264, 935, 295, 16835, 420, 264, 935, 295, 16835, 13, 823, 321, 528, 281, 483, 281, 458, 965, 466], "avg_logprob": -0.40219906745133577, "compression_ratio": 2.3689320388349513, "no_speech_prob": 8.910894393920898e-05, "words": [{"start": 228.4, "end": 228.72, "word": "So,", "probability": 0.23583984375}, {"start": 228.82, "end": 228.82, "word": " the", "probability": 0.41064453125}, {"start": 228.82, "end": 229.12, "word": " height", "probability": 0.4951171875}, {"start": 229.12, "end": 229.3, "word": " of", "probability": 0.95361328125}, {"start": 229.3, "end": 229.36, "word": " the", "probability": 0.7490234375}, {"start": 229.36, "end": 229.58, "word": " body,", "probability": 0.85546875}, {"start": 229.7, "end": 229.76, "word": " we", "probability": 0.533203125}, {"start": 229.76, "end": 229.86, "word": " say", "probability": 0.7431640625}, {"start": 229.86, "end": 230.0, "word": " from", "probability": 0.52978515625}, {"start": 230.0, "end": 230.18, "word": " the", "probability": 0.8916015625}, {"start": 230.18, "end": 230.36, "word": " highest", "probability": 0.8671875}, {"start": 230.36, "end": 230.68, "word": " point", "probability": 0.9716796875}, {"start": 230.68, "end": 230.86, "word": " in", "probability": 0.472412109375}, {"start": 230.86, "end": 230.98, "word": " the", "probability": 0.8876953125}, {"start": 230.98, "end": 231.22, "word": " body,", "probability": 0.8525390625}, {"start": 231.36, "end": 231.54, "word": " we", "probability": 0.3876953125}, {"start": 231.54, "end": 231.76, "word": " drop", "probability": 0.625}, {"start": 231.76, "end": 232.04, "word": " a", "probability": 0.82470703125}, {"start": 232.04, "end": 232.3, "word": " column", "probability": 0.37255859375}, {"start": 232.3, "end": 232.6, "word": " when", "probability": 0.79443359375}, {"start": 232.6, "end": 232.82, "word": " we", "probability": 0.88720703125}, {"start": 232.82, "end": 233.02, "word": " reach", "probability": 0.80908203125}, {"start": 233.02, "end": 233.18, "word": " the", "probability": 0.89892578125}, {"start": 233.18, "end": 233.44, "word": " optical", "probability": 0.90380859375}, {"start": 233.44, "end": 233.9, "word": " axis,", "probability": 0.96923828125}, {"start": 234.04, "end": 234.18, "word": " which", "probability": 0.334228515625}, {"start": 234.18, "end": 234.2, "word": " means", "probability": 0.669921875}, {"start": 234.2, "end": 234.8, "word": " the", "probability": 0.57373046875}, {"start": 234.8, "end": 235.06, "word": " point", "probability": 0.2396240234375}, {"start": 235.06, "end": 235.3, "word": " that", "probability": 0.427978515625}, {"start": 235.3, "end": 235.62, "word": " ends", "probability": 0.5517578125}, {"start": 235.62, "end": 235.96, "word": " with", "probability": 0.3583984375}, {"start": 235.96, "end": 236.16, "word": " us,", "probability": 0.8623046875}, {"start": 236.5, "end": 236.64, "word": " the", "probability": 0.8681640625}, {"start": 236.64, "end": 237.04, "word": " optical", "probability": 0.9375}, {"start": 237.04, "end": 237.66, "word": " axis.", "probability": 0.96337890625}, {"start": 238.04, "end": 238.26, "word": " Also,", "probability": 0.80908203125}, {"start": 238.44, "end": 238.44, "word": " the", "probability": 0.85888671875}, {"start": 238.44, "end": 238.66, "word": " height", "probability": 0.6826171875}, {"start": 238.66, "end": 238.86, "word": " of", "probability": 0.96728515625}, {"start": 238.86, "end": 238.9, "word": " the", "probability": 0.8720703125}, {"start": 238.9, "end": 239.12, "word": " image", "probability": 0.5146484375}, {"start": 239.12, "end": 239.4, "word": " is", "probability": 0.85888671875}, {"start": 239.4, "end": 239.72, "word": " measured", "probability": 0.52294921875}, {"start": 239.72, "end": 239.96, "word": " from", "probability": 0.7919921875}, {"start": 239.96, "end": 240.18, "word": " the", "probability": 0.923828125}, {"start": 240.18, "end": 240.6, "word": " optical", "probability": 0.95849609375}, {"start": 240.6, "end": 241.08, "word": " axis,", "probability": 0.95703125}, {"start": 241.2, "end": 241.28, "word": " is", "probability": 0.408935546875}, {"start": 241.28, "end": 241.54, "word": " measured", "probability": 0.84716796875}, {"start": 241.54, "end": 241.78, "word": " from", "probability": 0.8916015625}, {"start": 241.78, "end": 241.94, "word": " the", "probability": 0.9208984375}, {"start": 241.94, "end": 242.28, "word": " optical", "probability": 0.95947265625}, {"start": 242.28, "end": 242.7, "word": " axis.", "probability": 0.96923828125}, {"start": 242.84, "end": 243.0, "word": " So,", "probability": 0.900390625}, {"start": 243.44, "end": 243.6, "word": " the", "probability": 0.80810546875}, {"start": 243.6, "end": 243.9, "word": " height", "probability": 0.81884765625}, {"start": 243.9, "end": 244.14, "word": " of", "probability": 0.97119140625}, {"start": 244.14, "end": 244.2, "word": " the", "probability": 0.9013671875}, {"start": 244.2, "end": 244.44, "word": " image", "probability": 0.76171875}, {"start": 244.44, "end": 244.6, "word": " or", "probability": 0.611328125}, {"start": 244.6, "end": 244.74, "word": " the", "probability": 0.583984375}, {"start": 244.74, "end": 244.96, "word": " height", "probability": 0.94189453125}, {"start": 244.96, "end": 245.08, "word": " of", "probability": 0.9697265625}, {"start": 245.08, "end": 245.14, "word": " the", "probability": 0.91748046875}, {"start": 245.14, "end": 245.3, "word": " body", "probability": 0.86083984375}, {"start": 245.3, "end": 246.2, "word": " means", "probability": 0.1497802734375}, {"start": 246.2, "end": 246.52, "word": " a", "probability": 0.32177734375}, {"start": 246.52, "end": 246.94, "word": " comparison", "probability": 0.841796875}, {"start": 246.94, "end": 247.4, "word": " or", "probability": 0.90478515625}, {"start": 247.4, "end": 248.02, "word": " departure", "probability": 0.433837890625}, {"start": 248.02, "end": 248.56, "word": " from", "probability": 0.8544921875}, {"start": 248.56, "end": 248.72, "word": " the", "probability": 0.9267578125}, {"start": 248.72, "end": 249.06, "word": " optical", "probability": 0.94970703125}, {"start": 249.06, "end": 249.58, "word": " axis,", "probability": 0.96533203125}, {"start": 249.74, "end": 249.8, "word": " which", "probability": 0.7685546875}, {"start": 249.8, "end": 250.7, "word": " means", "probability": 0.58935546875}, {"start": 250.7, "end": 250.94, "word": " the", "probability": 0.7861328125}, {"start": 250.94, "end": 251.12, "word": " point", "probability": 0.8876953125}, {"start": 251.12, "end": 251.36, "word": " of", "probability": 0.9599609375}, {"start": 251.36, "end": 251.78, "word": " addiction", "probability": 0.128173828125}, {"start": 251.78, "end": 252.18, "word": " or", "probability": 0.90869140625}, {"start": 252.18, "end": 252.28, "word": " the", "probability": 0.6865234375}, {"start": 252.28, "end": 252.5, "word": " point", "probability": 0.95458984375}, {"start": 252.5, "end": 253.2, "word": " of", "probability": 0.9658203125}, {"start": 253.2, "end": 253.66, "word": " addiction.", "probability": 0.517578125}, {"start": 254.1, "end": 254.3, "word": " Now", "probability": 0.9150390625}, {"start": 254.3, "end": 254.56, "word": " we", "probability": 0.5771484375}, {"start": 254.56, "end": 254.56, "word": " want", "probability": 0.65380859375}, {"start": 254.56, "end": 254.76, "word": " to", "probability": 0.9736328125}, {"start": 254.76, "end": 254.86, "word": " get", "probability": 0.380859375}, {"start": 254.86, "end": 255.12, "word": " to", "probability": 0.40478515625}, {"start": 255.12, "end": 255.14, "word": " know", "probability": 0.88916015625}, {"start": 255.14, "end": 255.52, "word": " today", "probability": 0.71435546875}, {"start": 255.52, "end": 255.9, "word": " about", "probability": 0.55029296875}], "temperature": 1.0}, {"id": 11, "seek": 28630, "start": 258.2, "end": 286.3, "text": "another reference point, another reference point helps us in solving our problems we say most optical systems have a pair of nodal points which means most optical systems have reference points which they call nodal points or nodal points or nodal points so I have a pair of nodal points, these nodal points exist", "tokens": [282, 802, 6408, 935, 11, 1071, 6408, 935, 3665, 505, 294, 12606, 527, 2740, 321, 584, 881, 20674, 3652, 362, 257, 6119, 295, 15224, 304, 2793, 597, 1355, 881, 20674, 3652, 362, 6408, 2793, 597, 436, 818, 15224, 304, 2793, 420, 15224, 304, 2793, 420, 15224, 304, 2793, 370, 286, 362, 257, 6119, 295, 15224, 304, 2793, 11, 613, 15224, 304, 2793, 2514], "avg_logprob": -0.39453124115243554, "compression_ratio": 2.2773722627737225, "no_speech_prob": 3.6954879760742188e-06, "words": [{"start": 258.20000000000005, "end": 259.04, "word": "another", "probability": 0.5631103515625}, {"start": 259.04, "end": 259.42, "word": " reference", "probability": 0.84423828125}, {"start": 259.42, "end": 259.84, "word": " point,", "probability": 0.412841796875}, {"start": 260.04, "end": 260.3, "word": " another", "probability": 0.75634765625}, {"start": 260.3, "end": 260.7, "word": " reference", "probability": 0.82373046875}, {"start": 260.7, "end": 261.06, "word": " point", "probability": 0.9658203125}, {"start": 261.06, "end": 261.38, "word": " helps", "probability": 0.18798828125}, {"start": 261.38, "end": 261.8, "word": " us", "probability": 0.8203125}, {"start": 261.8, "end": 262.2, "word": " in", "probability": 0.20947265625}, {"start": 262.2, "end": 262.58, "word": " solving", "probability": 0.7509765625}, {"start": 262.58, "end": 263.14, "word": " our", "probability": 0.66845703125}, {"start": 263.14, "end": 263.44, "word": " problems", "probability": 0.64794921875}, {"start": 263.44, "end": 263.7, "word": " we", "probability": 0.2442626953125}, {"start": 263.7, "end": 263.94, "word": " say", "probability": 0.7861328125}, {"start": 263.94, "end": 264.32, "word": " most", "probability": 0.75390625}, {"start": 264.32, "end": 264.86, "word": " optical", "probability": 0.962890625}, {"start": 264.86, "end": 265.56, "word": " systems", "probability": 0.94677734375}, {"start": 265.56, "end": 266.34, "word": " have", "probability": 0.9482421875}, {"start": 266.34, "end": 266.62, "word": " a", "probability": 0.94677734375}, {"start": 266.62, "end": 266.98, "word": " pair", "probability": 0.8486328125}, {"start": 266.98, "end": 267.4, "word": " of", "probability": 0.974609375}, {"start": 267.4, "end": 267.82, "word": " nodal", "probability": 0.9853515625}, {"start": 267.82, "end": 268.34, "word": " points", "probability": 0.921875}, {"start": 268.34, "end": 268.88, "word": " which", "probability": 0.1666259765625}, {"start": 268.88, "end": 268.9, "word": " means", "probability": 0.896484375}, {"start": 268.9, "end": 269.58, "word": " most", "probability": 0.57861328125}, {"start": 269.58, "end": 270.66, "word": " optical", "probability": 0.74658203125}, {"start": 270.66, "end": 271.68, "word": " systems", "probability": 0.94677734375}, {"start": 271.68, "end": 272.68, "word": " have", "probability": 0.82763671875}, {"start": 272.68, "end": 274.52, "word": " reference", "probability": 0.77099609375}, {"start": 274.52, "end": 274.78, "word": " points", "probability": 0.92822265625}, {"start": 274.78, "end": 274.9, "word": " which", "probability": 0.360595703125}, {"start": 274.9, "end": 275.0, "word": " they", "probability": 0.416015625}, {"start": 275.0, "end": 275.28, "word": " call", "probability": 0.86669921875}, {"start": 275.28, "end": 276.06, "word": " nodal", "probability": 0.98291015625}, {"start": 276.06, "end": 276.62, "word": " points", "probability": 0.91943359375}, {"start": 276.62, "end": 277.14, "word": " or", "probability": 0.626953125}, {"start": 277.14, "end": 278.2, "word": " nodal", "probability": 0.5191650390625}, {"start": 278.2, "end": 278.3, "word": " points", "probability": 0.810546875}, {"start": 278.3, "end": 278.56, "word": " or", "probability": 0.62060546875}, {"start": 278.56, "end": 279.44, "word": " nodal", "probability": 0.703125}, {"start": 279.44, "end": 279.44, "word": " points", "probability": 0.84326171875}, {"start": 279.44, "end": 280.48, "word": " so", "probability": 0.326904296875}, {"start": 280.48, "end": 281.58, "word": " I", "probability": 0.6318359375}, {"start": 281.58, "end": 281.66, "word": " have", "probability": 0.9306640625}, {"start": 281.66, "end": 281.9, "word": " a", "probability": 0.828125}, {"start": 281.9, "end": 282.22, "word": " pair", "probability": 0.677734375}, {"start": 282.22, "end": 282.8, "word": " of", "probability": 0.9658203125}, {"start": 282.8, "end": 283.58, "word": " nodal", "probability": 0.986328125}, {"start": 283.58, "end": 284.2, "word": " points,", "probability": 0.9130859375}, {"start": 284.5, "end": 284.88, "word": " these", "probability": 0.70458984375}, {"start": 284.88, "end": 285.4, "word": " nodal", "probability": 0.962646484375}, {"start": 285.4, "end": 285.84, "word": " points", "probability": 0.9150390625}, {"start": 285.84, "end": 286.3, "word": " exist", "probability": 0.52978515625}], "temperature": 1.0}, {"id": 12, "seek": 30305, "start": 286.99, "end": 303.05, "text": "In most of the optical systems, their location is on the optical axis, on the optical axis We say as the following, try to get the drawing The point that I point out, let's go to the magnifying glass", "tokens": [4575, 881, 295, 264, 20674, 3652, 11, 641, 4914, 307, 322, 264, 20674, 10298, 11, 322, 264, 20674, 10298, 492, 584, 382, 264, 3480, 11, 853, 281, 483, 264, 6316, 440, 935, 300, 286, 935, 484, 11, 718, 311, 352, 281, 264, 4944, 5489, 4276], "avg_logprob": -0.4069293581921121, "compression_ratio": 1.5546875, "no_speech_prob": 2.1755695343017578e-05, "words": [{"start": 286.99, "end": 287.37, "word": "In", "probability": 0.446533203125}, {"start": 287.37, "end": 287.85, "word": " most", "probability": 0.900390625}, {"start": 287.85, "end": 288.01, "word": " of", "probability": 0.47705078125}, {"start": 288.01, "end": 288.11, "word": " the", "probability": 0.74951171875}, {"start": 288.11, "end": 288.45, "word": " optical", "probability": 0.9228515625}, {"start": 288.45, "end": 289.07, "word": " systems,", "probability": 0.60986328125}, {"start": 289.45, "end": 289.55, "word": " their", "probability": 0.5458984375}, {"start": 289.55, "end": 289.89, "word": " location", "probability": 0.62255859375}, {"start": 289.89, "end": 290.19, "word": " is", "probability": 0.84326171875}, {"start": 290.19, "end": 290.85, "word": " on", "probability": 0.47265625}, {"start": 290.85, "end": 291.03, "word": " the", "probability": 0.892578125}, {"start": 291.03, "end": 291.49, "word": " optical", "probability": 0.931640625}, {"start": 291.49, "end": 292.41, "word": " axis,", "probability": 0.93701171875}, {"start": 292.53, "end": 292.67, "word": " on", "probability": 0.87939453125}, {"start": 292.67, "end": 292.81, "word": " the", "probability": 0.91943359375}, {"start": 292.81, "end": 293.19, "word": " optical", "probability": 0.95751953125}, {"start": 293.19, "end": 293.91, "word": " axis", "probability": 0.96484375}, {"start": 293.91, "end": 294.41, "word": " We", "probability": 0.392578125}, {"start": 294.41, "end": 294.65, "word": " say", "probability": 0.7509765625}, {"start": 294.65, "end": 294.87, "word": " as", "probability": 0.45703125}, {"start": 294.87, "end": 294.95, "word": " the", "probability": 0.447998046875}, {"start": 294.95, "end": 295.23, "word": " following,", "probability": 0.6904296875}, {"start": 295.39, "end": 295.71, "word": " try", "probability": 0.471435546875}, {"start": 295.71, "end": 295.89, "word": " to", "probability": 0.9375}, {"start": 295.89, "end": 296.09, "word": " get", "probability": 0.5703125}, {"start": 296.09, "end": 296.27, "word": " the", "probability": 0.6640625}, {"start": 296.27, "end": 296.61, "word": " drawing", "probability": 0.634765625}, {"start": 296.61, "end": 299.63, "word": " The", "probability": 0.62353515625}, {"start": 299.63, "end": 299.89, "word": " point", "probability": 0.90625}, {"start": 299.89, "end": 300.09, "word": " that", "probability": 0.65185546875}, {"start": 300.09, "end": 300.29, "word": " I", "probability": 0.98193359375}, {"start": 300.29, "end": 300.65, "word": " point", "probability": 0.397216796875}, {"start": 300.65, "end": 300.89, "word": " out,", "probability": 0.38232421875}, {"start": 301.19, "end": 301.55, "word": " let's", "probability": 0.94580078125}, {"start": 301.55, "end": 301.71, "word": " go", "probability": 0.58984375}, {"start": 301.71, "end": 301.87, "word": " to", "probability": 0.66455078125}, {"start": 301.87, "end": 302.49, "word": " the", "probability": 0.8349609375}, {"start": 302.49, "end": 303.05, "word": " magnifying", "probability": 0.36669921875}, {"start": 303.05, "end": 303.05, "word": " glass", "probability": 0.91796875}], "temperature": 1.0}, {"id": 13, "seek": 31936, "start": 304.1, "end": 319.36, "text": "This point that I'm pointing at is called anterior nodal point and this point that I'm pointing at is called posterior nodal point. Of course anterior is closer to the object, it's on the front surface of the lens and on the back surface of the lens", "tokens": [5723, 935, 300, 286, 478, 12166, 412, 307, 1219, 22272, 15224, 304, 935, 293, 341, 935, 300, 286, 478, 12166, 412, 307, 1219, 33529, 15224, 304, 935, 13, 2720, 1164, 22272, 307, 4966, 281, 264, 2657, 11, 309, 311, 322, 264, 1868, 3753, 295, 264, 6765, 293, 322, 264, 646, 3753, 295, 264, 6765], "avg_logprob": -0.3394886287775907, "compression_ratio": 1.900763358778626, "no_speech_prob": 9.238719940185547e-06, "words": [{"start": 304.1, "end": 304.36, "word": "This", "probability": 0.4130859375}, {"start": 304.36, "end": 304.68, "word": " point", "probability": 0.77978515625}, {"start": 304.68, "end": 304.88, "word": " that", "probability": 0.4482421875}, {"start": 304.88, "end": 305.18, "word": " I'm", "probability": 0.734130859375}, {"start": 305.18, "end": 305.4, "word": " pointing", "probability": 0.7421875}, {"start": 305.4, "end": 305.72, "word": " at", "probability": 0.35205078125}, {"start": 305.72, "end": 305.88, "word": " is", "probability": 0.607421875}, {"start": 305.88, "end": 306.18, "word": " called", "probability": 0.86767578125}, {"start": 306.18, "end": 306.96, "word": " anterior", "probability": 0.70361328125}, {"start": 306.96, "end": 307.74, "word": " nodal", "probability": 0.974609375}, {"start": 307.74, "end": 308.2, "word": " point", "probability": 0.97998046875}, {"start": 308.2, "end": 308.68, "word": " and", "probability": 0.56201171875}, {"start": 308.68, "end": 308.8, "word": " this", "probability": 0.7236328125}, {"start": 308.8, "end": 309.08, "word": " point", "probability": 0.931640625}, {"start": 309.08, "end": 309.42, "word": " that", "probability": 0.7490234375}, {"start": 309.42, "end": 309.76, "word": " I'm", "probability": 0.9755859375}, {"start": 309.76, "end": 310.02, "word": " pointing", "probability": 0.908203125}, {"start": 310.02, "end": 310.34, "word": " at", "probability": 0.87939453125}, {"start": 310.34, "end": 310.56, "word": " is", "probability": 0.9267578125}, {"start": 310.56, "end": 310.68, "word": " called", "probability": 0.37939453125}, {"start": 310.68, "end": 311.22, "word": " posterior", "probability": 0.849609375}, {"start": 311.22, "end": 311.98, "word": " nodal", "probability": 0.970458984375}, {"start": 311.98, "end": 312.32, "word": " point.", "probability": 0.9755859375}, {"start": 312.72, "end": 312.78, "word": " Of", "probability": 0.703125}, {"start": 312.78, "end": 312.94, "word": " course", "probability": 0.9609375}, {"start": 312.94, "end": 313.52, "word": " anterior", "probability": 0.5615234375}, {"start": 313.52, "end": 313.82, "word": " is", "probability": 0.43408203125}, {"start": 313.82, "end": 314.18, "word": " closer", "probability": 0.33984375}, {"start": 314.18, "end": 314.38, "word": " to", "probability": 0.9521484375}, {"start": 314.38, "end": 314.5, "word": " the", "probability": 0.75048828125}, {"start": 314.5, "end": 315.08, "word": " object,", "probability": 0.9609375}, {"start": 315.68, "end": 316.1, "word": " it's", "probability": 0.585693359375}, {"start": 316.1, "end": 316.28, "word": " on", "probability": 0.480224609375}, {"start": 316.28, "end": 316.42, "word": " the", "probability": 0.890625}, {"start": 316.42, "end": 317.0, "word": " front", "probability": 0.80029296875}, {"start": 317.0, "end": 317.12, "word": " surface", "probability": 0.59130859375}, {"start": 317.12, "end": 317.28, "word": " of", "probability": 0.876953125}, {"start": 317.28, "end": 317.4, "word": " the", "probability": 0.89892578125}, {"start": 317.4, "end": 317.72, "word": " lens", "probability": 0.81689453125}, {"start": 317.72, "end": 317.94, "word": " and", "probability": 0.84423828125}, {"start": 317.94, "end": 318.06, "word": " on", "probability": 0.623046875}, {"start": 318.06, "end": 318.22, "word": " the", "probability": 0.9169921875}, {"start": 318.22, "end": 318.26, "word": " back", "probability": 0.69287109375}, {"start": 318.26, "end": 318.84, "word": " surface", "probability": 0.7138671875}, {"start": 318.84, "end": 318.98, "word": " of", "probability": 0.95263671875}, {"start": 318.98, "end": 319.1, "word": " the", "probability": 0.91943359375}, {"start": 319.1, "end": 319.36, "word": " lens", "probability": 0.9267578125}], "temperature": 1.0}, {"id": 14, "seek": 35049, "start": 320.59, "end": 350.49, "text": "I have anterior nodal point and posterior nodal point", "tokens": [40, 362, 22272, 15224, 304, 935, 293, 33529, 15224, 304, 935], "avg_logprob": -0.3535156225164731, "compression_ratio": 1.2619047619047619, "no_speech_prob": 0.91357421875, "words": [{"start": 320.59, "end": 320.87, "word": "I", "probability": 0.2457275390625}, {"start": 320.87, "end": 321.07, "word": " have", "probability": 0.78466796875}, {"start": 321.07, "end": 321.67, "word": " anterior", "probability": 0.77490234375}, {"start": 321.67, "end": 322.31, "word": " nodal", "probability": 0.984375}, {"start": 322.31, "end": 322.69, "word": " point", "probability": 0.90869140625}, {"start": 322.69, "end": 322.89, "word": " and", "probability": 0.82373046875}, {"start": 322.89, "end": 323.79, "word": " posterior", "probability": 0.74951171875}, {"start": 323.79, "end": 324.81, "word": " nodal", "probability": 0.965087890625}, {"start": 324.81, "end": 350.49, "word": " point", "probability": 0.951171875}], "temperature": 1.0}, {"id": 15, "seek": 36298, "start": 350.66, "end": 362.98, "text": "Hadola the two nodal points مابنفع يكونوا لا فوق ال optical axis ولا تحت ال optical axis لازم يكونوا على ال optical axis و أحيانا .. أحيانا", "tokens": [39, 345, 4711, 264, 732, 15224, 304, 2793, 3714, 16758, 1863, 5172, 3615, 7251, 30544, 14407, 20193, 6156, 30543, 2423, 20674, 10298, 49429, 6055, 33753, 2423, 20674, 10298, 5296, 31377, 2304, 7251, 30544, 14407, 15844, 2423, 20674, 10298, 4032, 5551, 5016, 1829, 7649, 995, 4386, 5551, 5016, 1829, 7649, 995], "avg_logprob": -0.14123774918855406, "compression_ratio": 1.515625, "no_speech_prob": 1.0728836059570312e-06, "words": [{"start": 350.66, "end": 351.1, "word": "Hadola", "probability": 0.5276692708333334}, {"start": 351.1, "end": 351.26, "word": " the", "probability": 0.453369140625}, {"start": 351.26, "end": 351.42, "word": " two", "probability": 0.93115234375}, {"start": 351.42, "end": 351.82, "word": " nodal", "probability": 0.986083984375}, {"start": 351.82, "end": 352.2, "word": " points", "probability": 0.9365234375}, {"start": 352.2, "end": 352.9, "word": " مابنفع", "probability": 0.8552734375}, {"start": 352.9, "end": 353.3, "word": " يكونوا", "probability": 0.9912109375}, {"start": 353.3, "end": 353.44, "word": " لا", "probability": 0.92138671875}, {"start": 353.44, "end": 353.74, "word": " فوق", "probability": 0.95068359375}, {"start": 353.74, "end": 353.84, "word": " ال", "probability": 0.98486328125}, {"start": 353.84, "end": 354.16, "word": " optical", "probability": 0.79150390625}, {"start": 354.16, "end": 354.84, "word": " axis", "probability": 0.93359375}, {"start": 354.84, "end": 355.5, "word": " ولا", "probability": 0.88818359375}, {"start": 355.5, "end": 355.88, "word": " تحت", "probability": 0.992431640625}, {"start": 355.88, "end": 356.02, "word": " ال", "probability": 0.99609375}, {"start": 356.02, "end": 356.38, "word": " optical", "probability": 0.97509765625}, {"start": 356.38, "end": 356.86, "word": " axis", "probability": 0.9765625}, {"start": 356.86, "end": 357.34, "word": " لازم", "probability": 0.8203938802083334}, {"start": 357.34, "end": 357.7, "word": " يكونوا", "probability": 0.99560546875}, {"start": 357.7, "end": 357.92, "word": " على", "probability": 0.77734375}, {"start": 357.92, "end": 358.56, "word": " ال", "probability": 0.990234375}, {"start": 358.56, "end": 358.98, "word": " optical", "probability": 0.98876953125}, {"start": 358.98, "end": 359.7, "word": " axis", "probability": 0.97412109375}, {"start": 359.7, "end": 360.38, "word": " و", "probability": 0.93310546875}, {"start": 360.38, "end": 362.22, "word": " أحيانا", "probability": 0.930078125}, {"start": 362.22, "end": 362.3, "word": " ..", "probability": 0.8056640625}, {"start": 362.3, "end": 362.98, "word": " أحيانا", "probability": 0.9890625}], "temperature": 1.0}, {"id": 16, "seek": 38635, "start": 363.13, "end": 386.35, "text": "It becomes overlapping, overlapping What does overlapping mean? We apply the anterior and posterior nodal points to each other and they become one point If they become one point, I will still consider them two points, two points, despite their overlapping each other A person may wonder how can I consider them two points, in other words", "tokens": [3522, 3643, 33535, 11, 33535, 708, 775, 33535, 914, 30, 492, 3079, 264, 22272, 293, 33529, 15224, 304, 2793, 281, 1184, 661, 293, 436, 1813, 472, 935, 759, 436, 1813, 472, 935, 11, 286, 486, 920, 1949, 552, 732, 2793, 11, 732, 2793, 11, 7228, 641, 33535, 1184, 661, 316, 954, 815, 2441, 577, 393, 286, 1949, 552, 732, 2793, 11, 294, 661, 2283], "avg_logprob": -0.5125, "compression_ratio": 2.005952380952381, "no_speech_prob": 5.185604095458984e-06, "words": [{"start": 363.13, "end": 363.49, "word": "It", "probability": 0.1317138671875}, {"start": 363.49, "end": 363.77, "word": " becomes", "probability": 0.65673828125}, {"start": 363.77, "end": 365.03, "word": " overlapping,", "probability": 0.4931640625}, {"start": 365.33, "end": 366.33, "word": " overlapping", "probability": 0.7294921875}, {"start": 366.33, "end": 366.67, "word": " What", "probability": 0.473876953125}, {"start": 366.67, "end": 366.83, "word": " does", "probability": 0.71923828125}, {"start": 366.83, "end": 367.25, "word": " overlapping", "probability": 0.81396484375}, {"start": 367.25, "end": 367.35, "word": " mean?", "probability": 0.8466796875}, {"start": 367.49, "end": 367.65, "word": " We", "probability": 0.35400390625}, {"start": 367.65, "end": 367.99, "word": " apply", "probability": 0.484130859375}, {"start": 367.99, "end": 368.21, "word": " the", "probability": 0.58984375}, {"start": 368.21, "end": 368.71, "word": " anterior", "probability": 0.96875}, {"start": 368.71, "end": 368.93, "word": " and", "probability": 0.53955078125}, {"start": 368.93, "end": 369.39, "word": " posterior", "probability": 0.8515625}, {"start": 369.39, "end": 370.09, "word": " nodal", "probability": 0.961181640625}, {"start": 370.09, "end": 370.35, "word": " points", "probability": 0.7109375}, {"start": 370.35, "end": 370.57, "word": " to", "probability": 0.428955078125}, {"start": 370.57, "end": 371.09, "word": " each", "probability": 0.8623046875}, {"start": 371.09, "end": 371.27, "word": " other", "probability": 0.892578125}, {"start": 371.27, "end": 371.35, "word": " and", "probability": 0.650390625}, {"start": 371.35, "end": 371.53, "word": " they", "probability": 0.67919921875}, {"start": 371.53, "end": 371.85, "word": " become", "probability": 0.78662109375}, {"start": 371.85, "end": 372.03, "word": " one", "probability": 0.8037109375}, {"start": 372.03, "end": 372.65, "word": " point", "probability": 0.86279296875}, {"start": 372.65, "end": 373.91, "word": " If", "probability": 0.470703125}, {"start": 373.91, "end": 374.49, "word": " they", "probability": 0.8291015625}, {"start": 374.49, "end": 374.79, "word": " become", "probability": 0.59521484375}, {"start": 374.79, "end": 374.93, "word": " one", "probability": 0.90380859375}, {"start": 374.93, "end": 375.31, "word": " point,", "probability": 0.96533203125}, {"start": 375.65, "end": 375.83, "word": " I", "probability": 0.927734375}, {"start": 375.83, "end": 375.89, "word": " will", "probability": 0.310791015625}, {"start": 375.89, "end": 376.05, "word": " still", "probability": 0.2232666015625}, {"start": 376.05, "end": 376.57, "word": " consider", "probability": 0.8232421875}, {"start": 376.57, "end": 376.87, "word": " them", "probability": 0.8935546875}, {"start": 376.87, "end": 377.67, "word": " two", "probability": 0.79931640625}, {"start": 377.67, "end": 377.67, "word": " points,", "probability": 0.87841796875}, {"start": 377.95, "end": 378.05, "word": " two", "probability": 0.892578125}, {"start": 378.05, "end": 378.51, "word": " points,", "probability": 0.89208984375}, {"start": 379.05, "end": 379.33, "word": " despite", "probability": 0.65673828125}, {"start": 379.33, "end": 380.09, "word": " their", "probability": 0.5234375}, {"start": 380.09, "end": 380.09, "word": " overlapping", "probability": 0.046112060546875}, {"start": 380.09, "end": 381.31, "word": " each", "probability": 0.4560546875}, {"start": 381.31, "end": 381.37, "word": " other", "probability": 0.90185546875}, {"start": 381.37, "end": 381.51, "word": " A", "probability": 0.2354736328125}, {"start": 381.51, "end": 381.97, "word": " person", "probability": 0.84912109375}, {"start": 381.97, "end": 382.01, "word": " may", "probability": 0.501953125}, {"start": 382.01, "end": 382.47, "word": " wonder", "probability": 0.51904296875}, {"start": 382.47, "end": 382.73, "word": " how", "probability": 0.81103515625}, {"start": 382.73, "end": 382.93, "word": " can", "probability": 0.1583251953125}, {"start": 382.93, "end": 382.97, "word": " I", "probability": 0.89990234375}, {"start": 382.97, "end": 384.25, "word": " consider", "probability": 0.84130859375}, {"start": 384.25, "end": 384.59, "word": " them", "probability": 0.88330078125}, {"start": 384.59, "end": 385.07, "word": " two", "probability": 0.904296875}, {"start": 385.07, "end": 385.43, "word": " points,", "probability": 0.91015625}, {"start": 385.67, "end": 385.97, "word": " in", "probability": 0.2064208984375}, {"start": 385.97, "end": 386.19, "word": " other", "probability": 0.437744140625}, {"start": 386.19, "end": 386.35, "word": " words", "probability": 0.85205078125}], "temperature": 1.0}, {"id": 17, "seek": 41137, "start": 388.19, "end": 411.37, "text": "I want to look at them as two points, although they are similar to each other and seem to be one point To approximate the concept, we need to take an example from everyday life If we say that a person specialized in vision specialists and became a vision specialist after he finished his specialization", "tokens": [40, 528, 281, 574, 412, 552, 382, 732, 2793, 11, 4878, 436, 366, 2531, 281, 1184, 661, 293, 1643, 281, 312, 472, 935, 1407, 30874, 264, 3410, 11, 321, 643, 281, 747, 364, 1365, 490, 7429, 993, 759, 321, 584, 300, 257, 954, 19813, 294, 5201, 25476, 293, 3062, 257, 5201, 17008, 934, 415, 4335, 702, 2121, 2144], "avg_logprob": -0.43829449455616837, "compression_ratio": 1.6149732620320856, "no_speech_prob": 2.8014183044433594e-06, "words": [{"start": 388.19, "end": 388.67, "word": "I", "probability": 0.9296875}, {"start": 388.67, "end": 388.83, "word": " want", "probability": 0.69873046875}, {"start": 388.83, "end": 389.05, "word": " to", "probability": 0.9658203125}, {"start": 389.05, "end": 389.35, "word": " look", "probability": 0.8271484375}, {"start": 389.35, "end": 389.61, "word": " at", "probability": 0.91455078125}, {"start": 389.61, "end": 389.91, "word": " them", "probability": 0.9111328125}, {"start": 389.91, "end": 390.23, "word": " as", "probability": 0.83740234375}, {"start": 390.23, "end": 390.91, "word": " two", "probability": 0.92236328125}, {"start": 390.91, "end": 390.91, "word": " points,", "probability": 0.78125}, {"start": 391.31, "end": 391.55, "word": " although", "probability": 0.52783203125}, {"start": 391.55, "end": 392.13, "word": " they", "probability": 0.890625}, {"start": 392.13, "end": 392.31, "word": " are", "probability": 0.68017578125}, {"start": 392.31, "end": 393.35, "word": " similar", "probability": 0.2998046875}, {"start": 393.35, "end": 393.81, "word": " to", "probability": 0.57373046875}, {"start": 393.81, "end": 394.17, "word": " each", "probability": 0.8779296875}, {"start": 394.17, "end": 394.17, "word": " other", "probability": 0.89111328125}, {"start": 394.17, "end": 394.41, "word": " and", "probability": 0.73291015625}, {"start": 394.41, "end": 394.55, "word": " seem", "probability": 0.4130859375}, {"start": 394.55, "end": 394.55, "word": " to", "probability": 0.82275390625}, {"start": 394.55, "end": 394.89, "word": " be", "probability": 0.69775390625}, {"start": 394.89, "end": 394.99, "word": " one", "probability": 0.833984375}, {"start": 394.99, "end": 395.85, "word": " point", "probability": 0.94384765625}, {"start": 395.85, "end": 397.23, "word": " To", "probability": 0.470947265625}, {"start": 397.23, "end": 397.73, "word": " approximate", "probability": 0.47021484375}, {"start": 397.73, "end": 397.95, "word": " the", "probability": 0.84765625}, {"start": 397.95, "end": 398.21, "word": " concept,", "probability": 0.796875}, {"start": 398.43, "end": 398.49, "word": " we", "probability": 0.81591796875}, {"start": 398.49, "end": 398.65, "word": " need", "probability": 0.32568359375}, {"start": 398.65, "end": 398.83, "word": " to", "probability": 0.8935546875}, {"start": 398.83, "end": 399.01, "word": " take", "probability": 0.79345703125}, {"start": 399.01, "end": 399.41, "word": " an", "probability": 0.900390625}, {"start": 399.41, "end": 399.41, "word": " example", "probability": 0.97607421875}, {"start": 399.41, "end": 399.61, "word": " from", "probability": 0.85791015625}, {"start": 399.61, "end": 399.75, "word": " everyday", "probability": 0.4326171875}, {"start": 399.75, "end": 400.37, "word": " life", "probability": 0.90380859375}, {"start": 400.37, "end": 400.97, "word": " If", "probability": 0.6435546875}, {"start": 400.97, "end": 401.23, "word": " we", "probability": 0.7099609375}, {"start": 401.23, "end": 401.23, "word": " say", "probability": 0.87548828125}, {"start": 401.23, "end": 401.45, "word": " that", "probability": 0.358154296875}, {"start": 401.45, "end": 401.45, "word": " a", "probability": 0.8603515625}, {"start": 401.45, "end": 402.33, "word": " person", "probability": 0.8701171875}, {"start": 402.33, "end": 403.25, "word": " specialized", "probability": 0.2425537109375}, {"start": 403.25, "end": 403.79, "word": " in", "probability": 0.8984375}, {"start": 403.79, "end": 404.67, "word": " vision", "probability": 0.204345703125}, {"start": 404.67, "end": 404.91, "word": " specialists", "probability": 0.1851806640625}, {"start": 404.91, "end": 405.23, "word": " and", "probability": 0.61376953125}, {"start": 405.23, "end": 405.63, "word": " became", "probability": 0.703125}, {"start": 405.63, "end": 405.77, "word": " a", "probability": 0.84228515625}, {"start": 405.77, "end": 405.93, "word": " vision", "probability": 0.64892578125}, {"start": 405.93, "end": 406.71, "word": " specialist", "probability": 0.93603515625}, {"start": 406.71, "end": 408.35, "word": " after", "probability": 0.333740234375}, {"start": 408.35, "end": 410.01, "word": " he", "probability": 0.24609375}, {"start": 410.01, "end": 410.43, "word": " finished", "probability": 0.326904296875}, {"start": 410.43, "end": 410.75, "word": " his", "probability": 0.57666015625}, {"start": 410.75, "end": 411.37, "word": " specialization", "probability": 0.694091796875}], "temperature": 1.0}, {"id": 18, "seek": 43897, "start": 411.61, "end": 438.97, "text": "I mean he didn't find a job, so he said I want to get another specialization, so he went to specialize in computer engineering for example This person became with him two specializations Now this person is one person, but when he attends a conference, no, the visionists attend with his attribute that he is a vision specialist And when he attends a conference in computer engineering and programming, he attends with his attribute that he is a computer engineer, that is, he is a person, but inside him", "tokens": [40, 914, 415, 994, 380, 915, 257, 1691, 11, 370, 415, 848, 286, 528, 281, 483, 1071, 2121, 2144, 11, 370, 415, 1437, 281, 37938, 294, 3820, 7043, 337, 1365, 639, 954, 3062, 365, 796, 732, 2121, 14455, 823, 341, 954, 307, 472, 954, 11, 457, 562, 415, 49837, 257, 7586, 11, 572, 11, 264, 5201, 1751, 6888, 365, 702, 19667, 300, 415, 307, 257, 5201, 17008, 400, 562, 415, 49837, 257, 7586, 294, 3820, 7043, 293, 9410, 11, 415, 49837, 365, 702, 19667, 300, 415, 307, 257, 3820, 11403, 11, 300, 307, 11, 415, 307, 257, 954, 11, 457, 1854, 796], "avg_logprob": -0.41353155918491696, "compression_ratio": 2.1587982832618025, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 411.61, "end": 411.87, "word": "I", "probability": 0.288818359375}, {"start": 411.87, "end": 412.01, "word": " mean", "probability": 0.63720703125}, {"start": 412.01, "end": 412.19, "word": " he", "probability": 0.5888671875}, {"start": 412.19, "end": 412.19, "word": " didn't", "probability": 0.6845703125}, {"start": 412.19, "end": 412.55, "word": " find", "probability": 0.87353515625}, {"start": 412.55, "end": 412.71, "word": " a", "probability": 0.366943359375}, {"start": 412.71, "end": 412.89, "word": " job,", "probability": 0.9521484375}, {"start": 413.05, "end": 413.13, "word": " so", "probability": 0.61474609375}, {"start": 413.13, "end": 413.19, "word": " he", "probability": 0.94873046875}, {"start": 413.19, "end": 413.29, "word": " said", "probability": 0.5068359375}, {"start": 413.29, "end": 413.51, "word": " I", "probability": 0.76513671875}, {"start": 413.51, "end": 413.71, "word": " want", "probability": 0.4921875}, {"start": 413.71, "end": 413.87, "word": " to", "probability": 0.9169921875}, {"start": 413.87, "end": 414.07, "word": " get", "probability": 0.47119140625}, {"start": 414.07, "end": 414.53, "word": " another", "probability": 0.73828125}, {"start": 414.53, "end": 415.09, "word": " specialization,", "probability": 0.59124755859375}, {"start": 415.69, "end": 415.87, "word": " so", "probability": 0.59423828125}, {"start": 415.87, "end": 416.03, "word": " he", "probability": 0.94140625}, {"start": 416.03, "end": 416.03, "word": " went", "probability": 0.67822265625}, {"start": 416.03, "end": 416.19, "word": " to", "probability": 0.479248046875}, {"start": 416.19, "end": 416.63, "word": " specialize", "probability": 0.369873046875}, {"start": 416.63, "end": 417.35, "word": " in", "probability": 0.90966796875}, {"start": 417.35, "end": 418.43, "word": " computer", "probability": 0.8681640625}, {"start": 418.43, "end": 418.43, "word": " engineering", "probability": 0.9521484375}, {"start": 418.43, "end": 418.77, "word": " for", "probability": 0.65087890625}, {"start": 418.77, "end": 419.01, "word": " example", "probability": 0.951171875}, {"start": 419.01, "end": 420.05, "word": " This", "probability": 0.42138671875}, {"start": 420.05, "end": 420.47, "word": " person", "probability": 0.79833984375}, {"start": 420.47, "end": 420.53, "word": " became", "probability": 0.478515625}, {"start": 420.53, "end": 420.67, "word": " with", "probability": 0.33203125}, {"start": 420.67, "end": 420.83, "word": " him", "probability": 0.91796875}, {"start": 420.83, "end": 420.95, "word": " two", "probability": 0.78173828125}, {"start": 420.95, "end": 421.43, "word": " specializations", "probability": 0.930908203125}, {"start": 421.43, "end": 422.21, "word": " Now", "probability": 0.54638671875}, {"start": 422.21, "end": 422.49, "word": " this", "probability": 0.8388671875}, {"start": 422.49, "end": 422.77, "word": " person", "probability": 0.888671875}, {"start": 422.77, "end": 422.93, "word": " is", "probability": 0.93408203125}, {"start": 422.93, "end": 423.63, "word": " one", "probability": 0.724609375}, {"start": 423.63, "end": 423.81, "word": " person,", "probability": 0.9130859375}, {"start": 424.21, "end": 424.59, "word": " but", "probability": 0.9296875}, {"start": 424.59, "end": 424.89, "word": " when", "probability": 0.91259765625}, {"start": 424.89, "end": 425.07, "word": " he", "probability": 0.86572265625}, {"start": 425.07, "end": 425.31, "word": " attends", "probability": 0.71435546875}, {"start": 425.31, "end": 425.47, "word": " a", "probability": 0.69384765625}, {"start": 425.47, "end": 425.87, "word": " conference,", "probability": 0.60791015625}, {"start": 426.07, "end": 426.31, "word": " no,", "probability": 0.200927734375}, {"start": 426.39, "end": 426.81, "word": " the", "probability": 0.50634765625}, {"start": 426.81, "end": 427.37, "word": " visionists", "probability": 0.3734130859375}, {"start": 427.37, "end": 427.69, "word": " attend", "probability": 0.76806640625}, {"start": 427.69, "end": 427.91, "word": " with", "probability": 0.21875}, {"start": 427.91, "end": 427.99, "word": " his", "probability": 0.85546875}, {"start": 427.99, "end": 428.33, "word": " attribute", "probability": 0.296630859375}, {"start": 428.33, "end": 428.93, "word": " that", "probability": 0.62255859375}, {"start": 428.93, "end": 429.07, "word": " he", "probability": 0.92333984375}, {"start": 429.07, "end": 429.07, "word": " is", "probability": 0.8203125}, {"start": 429.07, "end": 429.61, "word": " a", "probability": 0.74853515625}, {"start": 429.61, "end": 429.77, "word": " vision", "probability": 0.43310546875}, {"start": 429.77, "end": 429.93, "word": " specialist", "probability": 0.497314453125}, {"start": 429.93, "end": 430.79, "word": " And", "probability": 0.5078125}, {"start": 430.79, "end": 431.01, "word": " when", "probability": 0.94873046875}, {"start": 431.01, "end": 431.15, "word": " he", "probability": 0.7529296875}, {"start": 431.15, "end": 431.43, "word": " attends", "probability": 0.8310546875}, {"start": 431.43, "end": 431.59, "word": " a", "probability": 0.9677734375}, {"start": 431.59, "end": 431.97, "word": " conference", "probability": 0.83447265625}, {"start": 431.97, "end": 432.35, "word": " in", "probability": 0.7451171875}, {"start": 432.35, "end": 433.41, "word": " computer", "probability": 0.84521484375}, {"start": 433.41, "end": 433.41, "word": " engineering", "probability": 0.955078125}, {"start": 433.41, "end": 433.75, "word": " and", "probability": 0.90966796875}, {"start": 433.75, "end": 434.19, "word": " programming,", "probability": 0.84228515625}, {"start": 434.33, "end": 434.43, "word": " he", "probability": 0.56103515625}, {"start": 434.43, "end": 434.71, "word": " attends", "probability": 0.712890625}, {"start": 434.71, "end": 434.89, "word": " with", "probability": 0.64599609375}, {"start": 434.89, "end": 434.97, "word": " his", "probability": 0.88720703125}, {"start": 434.97, "end": 435.21, "word": " attribute", "probability": 0.70556640625}, {"start": 435.21, "end": 435.39, "word": " that", "probability": 0.280029296875}, {"start": 435.39, "end": 435.65, "word": " he", "probability": 0.94970703125}, {"start": 435.65, "end": 435.65, "word": " is", "probability": 0.91796875}, {"start": 435.65, "end": 435.77, "word": " a", "probability": 0.88525390625}, {"start": 435.77, "end": 436.01, "word": " computer", "probability": 0.92822265625}, {"start": 436.01, "end": 436.01, "word": " engineer,", "probability": 0.85205078125}, {"start": 436.65, "end": 436.87, "word": " that", "probability": 0.261474609375}, {"start": 436.87, "end": 436.91, "word": " is,", "probability": 0.625}, {"start": 436.93, "end": 437.07, "word": " he", "probability": 0.951171875}, {"start": 437.07, "end": 437.21, "word": " is", "probability": 0.9462890625}, {"start": 437.21, "end": 437.41, "word": " a", "probability": 0.966796875}, {"start": 437.41, "end": 437.71, "word": " person,", "probability": 0.9091796875}, {"start": 438.11, "end": 438.33, "word": " but", "probability": 0.9150390625}, {"start": 438.33, "end": 438.57, "word": " inside", "probability": 0.86328125}, {"start": 438.57, "end": 438.97, "word": " him", "probability": 0.80517578125}], "temperature": 1.0}, {"id": 19, "seek": 46355, "start": 439.27, "end": 463.55, "text": "inside it has two characteristics, which are at the same time visual characteristics and at the same time engineer, computer and programming and so on Also when two points match each other, which are the anterior nodal point and the posterior nodal point I keep telling them that I have an anterior nodal point and the posterior nodal point matches it", "tokens": [1292, 482, 309, 575, 732, 1290, 64, 349, 260, 6006, 11, 597, 366, 412, 264, 912, 565, 5056, 10891, 293, 412, 264, 912, 565, 11403, 11, 3820, 293, 9410, 293, 370, 322, 2743, 562, 732, 2793, 2995, 1184, 661, 11, 597, 366, 264, 22272, 15224, 304, 935, 293, 264, 33529, 15224, 304, 935, 286, 1066, 3585, 552, 300, 286, 362, 364, 22272, 15224, 304, 935, 293, 264, 33529, 15224, 304, 935, 10676, 309], "avg_logprob": -0.48268582168463114, "compression_ratio": 2.076923076923077, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 439.27, "end": 439.61, "word": "inside", "probability": 0.6385498046875}, {"start": 439.61, "end": 439.79, "word": " it", "probability": 0.49267578125}, {"start": 439.79, "end": 439.83, "word": " has", "probability": 0.235107421875}, {"start": 439.83, "end": 439.95, "word": " two", "probability": 0.90234375}, {"start": 439.95, "end": 440.85, "word": " characteristics,", "probability": 0.496697998046875}, {"start": 441.91, "end": 441.91, "word": " which", "probability": 0.1717529296875}, {"start": 441.91, "end": 442.15, "word": " are", "probability": 0.415283203125}, {"start": 442.15, "end": 442.15, "word": " at", "probability": 0.439453125}, {"start": 442.15, "end": 442.45, "word": " the", "probability": 0.923828125}, {"start": 442.45, "end": 442.45, "word": " same", "probability": 0.91162109375}, {"start": 442.45, "end": 442.95, "word": " time", "probability": 0.89990234375}, {"start": 442.95, "end": 443.85, "word": " visual", "probability": 0.19970703125}, {"start": 443.85, "end": 444.51, "word": " characteristics", "probability": 0.260986328125}, {"start": 444.51, "end": 444.93, "word": " and", "probability": 0.66552734375}, {"start": 444.93, "end": 445.05, "word": " at", "probability": 0.6962890625}, {"start": 445.05, "end": 445.45, "word": " the", "probability": 0.93017578125}, {"start": 445.45, "end": 445.45, "word": " same", "probability": 0.9130859375}, {"start": 445.45, "end": 445.85, "word": " time", "probability": 0.87353515625}, {"start": 445.85, "end": 446.79, "word": " engineer,", "probability": 0.2073974609375}, {"start": 447.39, "end": 448.51, "word": " computer", "probability": 0.900390625}, {"start": 448.51, "end": 448.73, "word": " and", "probability": 0.5556640625}, {"start": 448.73, "end": 449.09, "word": " programming", "probability": 0.7294921875}, {"start": 449.09, "end": 449.23, "word": " and", "probability": 0.65234375}, {"start": 449.23, "end": 449.71, "word": " so", "probability": 0.82275390625}, {"start": 449.71, "end": 449.85, "word": " on", "probability": 0.84130859375}, {"start": 449.85, "end": 450.47, "word": " Also", "probability": 0.61865234375}, {"start": 450.47, "end": 451.05, "word": " when", "probability": 0.62646484375}, {"start": 451.05, "end": 451.21, "word": " two", "probability": 0.45361328125}, {"start": 451.21, "end": 451.59, "word": " points", "probability": 0.495361328125}, {"start": 451.59, "end": 452.43, "word": " match", "probability": 0.331298828125}, {"start": 452.43, "end": 452.91, "word": " each", "probability": 0.63818359375}, {"start": 452.91, "end": 453.31, "word": " other,", "probability": 0.8984375}, {"start": 453.89, "end": 454.05, "word": " which", "probability": 0.7392578125}, {"start": 454.05, "end": 454.23, "word": " are", "probability": 0.60302734375}, {"start": 454.23, "end": 454.37, "word": " the", "probability": 0.417724609375}, {"start": 454.37, "end": 454.83, "word": " anterior", "probability": 0.97021484375}, {"start": 454.83, "end": 455.35, "word": " nodal", "probability": 0.973388671875}, {"start": 455.35, "end": 455.69, "word": " point", "probability": 0.939453125}, {"start": 455.69, "end": 455.81, "word": " and", "probability": 0.943359375}, {"start": 455.81, "end": 455.91, "word": " the", "probability": 0.615234375}, {"start": 455.91, "end": 456.25, "word": " posterior", "probability": 0.8427734375}, {"start": 456.25, "end": 456.75, "word": " nodal", "probability": 0.962158203125}, {"start": 456.75, "end": 457.03, "word": " point", "probability": 0.974609375}, {"start": 457.03, "end": 457.51, "word": " I", "probability": 0.61865234375}, {"start": 457.51, "end": 457.81, "word": " keep", "probability": 0.6884765625}, {"start": 457.81, "end": 458.33, "word": " telling", "probability": 0.321044921875}, {"start": 458.33, "end": 458.69, "word": " them", "probability": 0.8486328125}, {"start": 458.69, "end": 458.99, "word": " that", "probability": 0.86328125}, {"start": 458.99, "end": 459.43, "word": " I", "probability": 0.92919921875}, {"start": 459.43, "end": 459.43, "word": " have", "probability": 0.9365234375}, {"start": 459.43, "end": 459.83, "word": " an", "probability": 0.43994140625}, {"start": 459.83, "end": 460.25, "word": " anterior", "probability": 0.95556640625}, {"start": 460.25, "end": 460.75, "word": " nodal", "probability": 0.979248046875}, {"start": 460.75, "end": 461.05, "word": " point", "probability": 0.97607421875}, {"start": 461.05, "end": 461.19, "word": " and", "probability": 0.68603515625}, {"start": 461.19, "end": 462.17, "word": " the", "probability": 0.3193359375}, {"start": 462.17, "end": 462.65, "word": " posterior", "probability": 0.88330078125}, {"start": 462.65, "end": 463.21, "word": " nodal", "probability": 0.971435546875}, {"start": 463.21, "end": 463.55, "word": " point", "probability": 0.97705078125}, {"start": 463.55, "end": 463.55, "word": " matches", "probability": 0.2744140625}, {"start": 463.55, "end": 463.55, "word": " it", "probability": 0.7900390625}], "temperature": 1.0}, {"id": 20, "seek": 49245, "start": 463.77, "end": 492.45, "text": "و هذا الكلام إله فائدة، هنجيها بالتدريج، هنجيها بالتدريج طيب، ممكن إنسان يتساءل، يقول طيب إحنا الآن يعني وصلت معلومة إنه في عندي زوج من ال nodal point، زوج من ال nodal point وإنه occasionally أحيانا ال nodal points overlap، بيجوا على بعضهم البعض, appearing as single point, appearing as single point، نطلع من العرض", "tokens": [2407, 23758, 2423, 28820, 10943, 11933, 43761, 6156, 16373, 41891, 12399, 8032, 1863, 7435, 1829, 11296, 20666, 2655, 3215, 16572, 7435, 12399, 8032, 1863, 7435, 1829, 11296, 20666, 2655, 3215, 16572, 7435, 23032, 1829, 3555, 12399, 3714, 43020, 36145, 3794, 7649, 7251, 2655, 3794, 16606, 1211, 12399, 7251, 39648, 23032, 1829, 3555, 11933, 5016, 8315, 6024, 48506, 37495, 22653, 4032, 36520, 2655, 20449, 1211, 20498, 3660, 36145, 3224, 8978, 18871, 16254, 30767, 29245, 9154, 2423, 15224, 304, 935, 12399, 30767, 29245, 9154, 2423, 15224, 304, 935, 4032, 28814, 1863, 3224, 16895, 5551, 5016, 1829, 7649, 995, 2423, 15224, 304, 2793, 19959, 12399, 4724, 1829, 7435, 14407, 15844, 45030, 11242, 16095, 29739, 3615, 11242, 11, 19870, 382, 2167, 935, 11, 19870, 382, 2167, 935, 12399, 8717, 9566, 1211, 3615, 9154, 18863, 43042], "avg_logprob": -0.16193181784315544, "compression_ratio": 1.8527131782945736, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 463.77, "end": 463.97, "word": "و", "probability": 0.1583251953125}, {"start": 463.97, "end": 464.29, "word": " هذا", "probability": 0.435546875}, {"start": 464.29, "end": 465.19, "word": " الكلام", "probability": 0.9772135416666666}, {"start": 465.19, "end": 465.47, "word": " إله", "probability": 0.48040771484375}, {"start": 465.47, "end": 466.21, "word": " فائدة،", "probability": 0.784423828125}, {"start": 466.21, "end": 466.95, "word": " هنجيها", "probability": 0.86826171875}, {"start": 466.95, "end": 468.13, "word": " بالتدريج،", "probability": 0.905029296875}, {"start": 468.13, "end": 468.69, "word": " هنجيها", "probability": 0.99248046875}, {"start": 468.69, "end": 469.47, "word": " بالتدريج", "probability": 0.99443359375}, {"start": 469.47, "end": 470.49, "word": " طيب،", "probability": 0.833984375}, {"start": 470.49, "end": 470.81, "word": " ممكن", "probability": 0.9951171875}, {"start": 470.81, "end": 471.19, "word": " إنسان", "probability": 0.9152018229166666}, {"start": 471.19, "end": 471.73, "word": " يتساءل،", "probability": 0.835693359375}, {"start": 471.73, "end": 471.89, "word": " يقول", "probability": 0.99609375}, {"start": 471.89, "end": 472.57, "word": " طيب", "probability": 0.8776041666666666}, {"start": 472.57, "end": 472.91, "word": " إحنا", "probability": 0.7542317708333334}, {"start": 472.91, "end": 473.35, "word": " الآن", "probability": 0.7027587890625}, {"start": 473.35, "end": 474.45, "word": " يعني", "probability": 0.874755859375}, {"start": 474.45, "end": 475.21, "word": " وصلت", "probability": 0.9482421875}, {"start": 475.21, "end": 475.89, "word": " معلومة", "probability": 0.98974609375}, {"start": 475.89, "end": 476.43, "word": " إنه", "probability": 0.86181640625}, {"start": 476.43, "end": 476.61, "word": " في", "probability": 0.9111328125}, {"start": 476.61, "end": 476.95, "word": " عندي", "probability": 0.872314453125}, {"start": 476.95, "end": 477.43, "word": " زوج", "probability": 0.972412109375}, {"start": 477.43, "end": 477.77, "word": " من", "probability": 0.9970703125}, {"start": 477.77, "end": 478.09, "word": " ال", "probability": 0.5947265625}, {"start": 478.09, "end": 478.39, "word": " nodal", "probability": 0.973388671875}, {"start": 478.39, "end": 478.97, "word": " point،", "probability": 0.668212890625}, {"start": 478.97, "end": 479.33, "word": " زوج", "probability": 0.981201171875}, {"start": 479.33, "end": 479.61, "word": " من", "probability": 0.99658203125}, {"start": 479.61, "end": 479.75, "word": " ال", "probability": 0.884765625}, {"start": 479.75, "end": 480.11, "word": " nodal", "probability": 0.98486328125}, {"start": 480.11, "end": 480.53, "word": " point", "probability": 0.98388671875}, {"start": 480.53, "end": 481.89, "word": " وإنه", "probability": 0.8956298828125}, {"start": 481.89, "end": 482.61, "word": " occasionally", "probability": 0.9248046875}, {"start": 482.61, "end": 483.55, "word": " أحيانا", "probability": 0.896484375}, {"start": 483.55, "end": 483.89, "word": " ال", "probability": 0.83837890625}, {"start": 483.89, "end": 484.27, "word": " nodal", "probability": 0.99169921875}, {"start": 484.27, "end": 484.63, "word": " points", "probability": 0.93994140625}, {"start": 484.63, "end": 485.49, "word": " overlap،", "probability": 0.81005859375}, {"start": 485.49, "end": 485.67, "word": " بيجوا", "probability": 0.958740234375}, {"start": 485.67, "end": 485.83, "word": " على", "probability": 0.78662109375}, {"start": 485.83, "end": 486.33, "word": " بعضهم", "probability": 0.8616536458333334}, {"start": 486.33, "end": 486.85, "word": " البعض,", "probability": 0.9944661458333334}, {"start": 487.17, "end": 487.63, "word": " appearing", "probability": 0.9365234375}, {"start": 487.63, "end": 488.17, "word": " as", "probability": 0.97900390625}, {"start": 488.17, "end": 488.71, "word": " single", "probability": 0.92822265625}, {"start": 488.71, "end": 489.19, "word": " point,", "probability": 0.95458984375}, {"start": 489.25, "end": 489.61, "word": " appearing", "probability": 0.95947265625}, {"start": 489.61, "end": 490.13, "word": " as", "probability": 0.9755859375}, {"start": 490.13, "end": 490.55, "word": " single", "probability": 0.93994140625}, {"start": 490.55, "end": 491.43, "word": " point،", "probability": 0.700439453125}, {"start": 491.43, "end": 491.79, "word": " نطلع", "probability": 0.939453125}, {"start": 491.79, "end": 491.95, "word": " من", "probability": 0.99658203125}, {"start": 491.95, "end": 492.45, "word": " العرض", "probability": 0.980224609375}], "temperature": 1.0}, {"id": 21, "seek": 51905, "start": 494.12, "end": 519.06, "text": "occasionally the nodal points overlap appearing as a single point but technically من ناحية تقنية they remain a pair of overlapping nodal points يعني بيظلوا زوج من النقاط اللي جاية على بعضها و بعتبرهم مش أنهم صاروا نقطة واحدة طيب يا ترى إيش الصفة المميزة .. إيش الصفة المميزة لهدولة ال nodal points", "tokens": [43280, 6822, 379, 264, 15224, 304, 2793, 19959, 19870, 382, 257, 2167, 935, 457, 12120, 9154, 8717, 39319, 10632, 6055, 4587, 1863, 10632, 436, 6222, 257, 6119, 295, 33535, 15224, 304, 2793, 37495, 22653, 4724, 1829, 19913, 1211, 14407, 30767, 29245, 9154, 28239, 4587, 41193, 13672, 1829, 10874, 995, 10632, 15844, 45030, 11242, 11296, 4032, 4724, 34268, 26890, 16095, 37893, 14739, 16095, 20328, 9640, 14407, 8717, 47432, 3660, 36764, 24401, 3660, 23032, 1829, 3555, 35186, 6055, 2288, 7578, 11933, 1829, 8592, 31767, 5172, 3660, 9673, 2304, 1829, 11622, 3660, 4386, 11933, 1829, 8592, 31767, 5172, 3660, 9673, 2304, 1829, 11622, 3660, 46740, 3215, 12610, 3660, 2423, 15224, 304, 2793], "avg_logprob": -0.14588067721236836, "compression_ratio": 1.6666666666666667, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 494.12, "end": 494.92, "word": "occasionally", "probability": 0.814208984375}, {"start": 494.92, "end": 495.16, "word": " the", "probability": 0.87841796875}, {"start": 495.16, "end": 495.5, "word": " nodal", "probability": 0.984375}, {"start": 495.5, "end": 495.88, "word": " points", "probability": 0.92333984375}, {"start": 495.88, "end": 496.42, "word": " overlap", "probability": 0.9306640625}, {"start": 496.42, "end": 497.76, "word": " appearing", "probability": 0.68310546875}, {"start": 497.76, "end": 498.46, "word": " as", "probability": 0.97216796875}, {"start": 498.46, "end": 499.26, "word": " a", "probability": 0.97216796875}, {"start": 499.26, "end": 499.62, "word": " single", "probability": 0.95263671875}, {"start": 499.62, "end": 500.12, "word": " point", "probability": 0.97119140625}, {"start": 500.12, "end": 500.74, "word": " but", "probability": 0.60107421875}, {"start": 500.74, "end": 501.66, "word": " technically", "probability": 0.8818359375}, {"start": 501.66, "end": 501.86, "word": " من", "probability": 0.5048828125}, {"start": 501.86, "end": 502.2, "word": " ناحية", "probability": 0.9443359375}, {"start": 502.2, "end": 502.88, "word": " تقنية", "probability": 0.953125}, {"start": 502.88, "end": 503.14, "word": " they", "probability": 0.876953125}, {"start": 503.14, "end": 503.68, "word": " remain", "probability": 0.9189453125}, {"start": 503.68, "end": 503.94, "word": " a", "probability": 0.984375}, {"start": 503.94, "end": 504.32, "word": " pair", "probability": 0.85791015625}, {"start": 504.32, "end": 504.6, "word": " of", "probability": 0.96728515625}, {"start": 504.6, "end": 505.54, "word": " overlapping", "probability": 0.82177734375}, {"start": 505.54, "end": 506.26, "word": " nodal", "probability": 0.9716796875}, {"start": 506.26, "end": 506.56, "word": " points", "probability": 0.92138671875}, {"start": 506.56, "end": 506.76, "word": " يعني", "probability": 0.866943359375}, {"start": 506.76, "end": 507.24, "word": " بيظلوا", "probability": 0.781201171875}, {"start": 507.24, "end": 507.52, "word": " زوج", "probability": 0.9091796875}, {"start": 507.52, "end": 507.7, "word": " من", "probability": 0.98486328125}, {"start": 507.7, "end": 508.24, "word": " النقاط", "probability": 0.9191080729166666}, {"start": 508.24, "end": 508.44, "word": " اللي", "probability": 0.95068359375}, {"start": 508.44, "end": 508.72, "word": " جاية", "probability": 0.9197591145833334}, {"start": 508.72, "end": 508.88, "word": " على", "probability": 0.5771484375}, {"start": 508.88, "end": 509.34, "word": " بعضها", "probability": 0.99462890625}, {"start": 509.34, "end": 509.74, "word": " و", "probability": 0.71875}, {"start": 509.74, "end": 510.3, "word": " بعتبرهم", "probability": 0.839111328125}, {"start": 510.3, "end": 510.46, "word": " مش", "probability": 0.548828125}, {"start": 510.46, "end": 510.74, "word": " أنهم", "probability": 0.59228515625}, {"start": 510.74, "end": 511.24, "word": " صاروا", "probability": 0.9931640625}, {"start": 511.24, "end": 511.64, "word": " نقطة", "probability": 0.9752604166666666}, {"start": 511.64, "end": 512.12, "word": " واحدة", "probability": 0.9952799479166666}, {"start": 512.12, "end": 512.64, "word": " طيب", "probability": 0.91845703125}, {"start": 512.64, "end": 512.82, "word": " يا", "probability": 0.4697265625}, {"start": 512.82, "end": 513.44, "word": " ترى", "probability": 0.8277994791666666}, {"start": 513.44, "end": 513.94, "word": " إيش", "probability": 0.8099772135416666}, {"start": 513.94, "end": 514.4, "word": " الصفة", "probability": 0.98193359375}, {"start": 514.4, "end": 515.3, "word": " المميزة", "probability": 0.99453125}, {"start": 515.3, "end": 515.62, "word": " ..", "probability": 0.492431640625}, {"start": 515.62, "end": 516.2, "word": " إيش", "probability": 0.9103190104166666}, {"start": 516.2, "end": 516.64, "word": " الصفة", "probability": 0.9921875}, {"start": 516.64, "end": 517.46, "word": " المميزة", "probability": 0.99775390625}, {"start": 517.46, "end": 518.08, "word": " لهدولة", "probability": 0.73345947265625}, {"start": 518.08, "end": 518.18, "word": " ال", "probability": 0.92529296875}, {"start": 518.18, "end": 518.58, "word": " nodal", "probability": 0.979248046875}, {"start": 518.58, "end": 519.06, "word": " points", "probability": 0.93505859375}], "temperature": 1.0}, {"id": 22, "seek": 54644, "start": 520.74, "end": 546.44, "text": "لهدولة ال two nodal points ال anterior و ال posterior nodal points هذا هنجيله بالتدريج بنقول أول صفة من صفات ال nodal points the nodal points are always on the optical axis and have an important property and have an important property يا ترى إيش الصفة المهمة اللي ميزت ال nodal points على عن", "tokens": [1211, 3224, 3215, 12610, 3660, 2423, 732, 15224, 304, 2793, 2423, 22272, 4032, 2423, 33529, 15224, 304, 2793, 23758, 8032, 1863, 7435, 26895, 3224, 20666, 2655, 3215, 16572, 7435, 44945, 39648, 5551, 12610, 20328, 5172, 3660, 9154, 20328, 5172, 9307, 2423, 15224, 304, 2793, 264, 15224, 304, 2793, 366, 1009, 322, 264, 20674, 10298, 293, 362, 364, 1021, 4707, 293, 362, 364, 1021, 4707, 35186, 6055, 2288, 7578, 11933, 1829, 8592, 31767, 5172, 3660, 9673, 16095, 3660, 13672, 1829, 3714, 1829, 11622, 2655, 2423, 15224, 304, 2793, 15844, 18871], "avg_logprob": -0.17135416633552975, "compression_ratio": 1.7980769230769231, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 520.74, "end": 521.5, "word": "لهدولة", "probability": 0.657958984375}, {"start": 521.5, "end": 521.74, "word": " ال", "probability": 0.7939453125}, {"start": 521.74, "end": 522.04, "word": " two", "probability": 0.685546875}, {"start": 522.04, "end": 522.56, "word": " nodal", "probability": 0.98681640625}, {"start": 522.56, "end": 522.92, "word": " points", "probability": 0.94580078125}, {"start": 522.92, "end": 523.06, "word": " ال", "probability": 0.7470703125}, {"start": 523.06, "end": 523.54, "word": " anterior", "probability": 0.6513671875}, {"start": 523.54, "end": 523.7, "word": " و", "probability": 0.701171875}, {"start": 523.7, "end": 523.8, "word": " ال", "probability": 0.9140625}, {"start": 523.8, "end": 524.28, "word": " posterior", "probability": 0.93798828125}, {"start": 524.28, "end": 524.88, "word": " nodal", "probability": 0.962158203125}, {"start": 524.88, "end": 525.26, "word": " points", "probability": 0.94189453125}, {"start": 525.26, "end": 525.44, "word": " هذا", "probability": 0.239501953125}, {"start": 525.44, "end": 526.06, "word": " هنجيله", "probability": 0.808984375}, {"start": 526.06, "end": 527.48, "word": " بالتدريج", "probability": 0.98466796875}, {"start": 527.48, "end": 527.82, "word": " بنقول", "probability": 0.62200927734375}, {"start": 527.82, "end": 528.44, "word": " أول", "probability": 0.92578125}, {"start": 528.44, "end": 528.94, "word": " صفة", "probability": 0.99267578125}, {"start": 528.94, "end": 529.18, "word": " من", "probability": 0.9814453125}, {"start": 529.18, "end": 529.72, "word": " صفات", "probability": 0.9930013020833334}, {"start": 529.72, "end": 529.9, "word": " ال", "probability": 0.85302734375}, {"start": 529.9, "end": 530.28, "word": " nodal", "probability": 0.994384765625}, {"start": 530.28, "end": 530.72, "word": " points", "probability": 0.947265625}, {"start": 530.72, "end": 531.42, "word": " the", "probability": 0.3154296875}, {"start": 531.42, "end": 532.0, "word": " nodal", "probability": 0.991943359375}, {"start": 532.0, "end": 532.5, "word": " points", "probability": 0.94189453125}, {"start": 532.5, "end": 532.86, "word": " are", "probability": 0.96875}, {"start": 532.86, "end": 533.56, "word": " always", "probability": 0.9326171875}, {"start": 533.56, "end": 533.88, "word": " on", "probability": 0.96044921875}, {"start": 533.88, "end": 534.0, "word": " the", "probability": 0.94287109375}, {"start": 534.0, "end": 534.44, "word": " optical", "probability": 0.9306640625}, {"start": 534.44, "end": 535.16, "word": " axis", "probability": 0.9365234375}, {"start": 535.16, "end": 535.8, "word": " and", "probability": 0.9501953125}, {"start": 535.8, "end": 536.16, "word": " have", "probability": 0.95263671875}, {"start": 536.16, "end": 536.5, "word": " an", "probability": 0.955078125}, {"start": 536.5, "end": 537.38, "word": " important", "probability": 0.9169921875}, {"start": 537.38, "end": 538.08, "word": " property", "probability": 0.921875}, {"start": 538.08, "end": 538.78, "word": " and", "probability": 0.7568359375}, {"start": 538.78, "end": 539.08, "word": " have", "probability": 0.95556640625}, {"start": 539.08, "end": 539.36, "word": " an", "probability": 0.9501953125}, {"start": 539.36, "end": 540.06, "word": " important", "probability": 0.9140625}, {"start": 540.06, "end": 540.82, "word": " property", "probability": 0.92822265625}, {"start": 540.82, "end": 541.52, "word": " يا", "probability": 0.71337890625}, {"start": 541.52, "end": 541.84, "word": " ترى", "probability": 0.8836263020833334}, {"start": 541.84, "end": 542.02, "word": " إيش", "probability": 0.8577473958333334}, {"start": 542.02, "end": 542.48, "word": " الصفة", "probability": 0.9895833333333334}, {"start": 542.48, "end": 542.98, "word": " المهمة", "probability": 0.9928385416666666}, {"start": 542.98, "end": 543.12, "word": " اللي", "probability": 0.924560546875}, {"start": 543.12, "end": 543.64, "word": " ميزت", "probability": 0.8876953125}, {"start": 543.64, "end": 543.84, "word": " ال", "probability": 0.94580078125}, {"start": 543.84, "end": 544.32, "word": " nodal", "probability": 0.99560546875}, {"start": 544.32, "end": 545.02, "word": " points", "probability": 0.9443359375}, {"start": 545.02, "end": 545.84, "word": " على", "probability": 0.8935546875}, {"start": 545.84, "end": 546.44, "word": " عن", "probability": 0.8662109375}], "temperature": 1.0}, {"id": 23, "seek": 55069, "start": 547.07, "end": 550.69, "text": "The rest of the points go back to the magnifying glass.", "tokens": [2278, 1472, 295, 264, 2793, 352, 646, 281, 264, 4944, 5489, 4276, 13], "avg_logprob": -0.7963169855730874, "compression_ratio": 0.9482758620689655, "no_speech_prob": 0.0, "words": [{"start": 547.07, "end": 547.53, "word": "The", "probability": 0.07373046875}, {"start": 547.53, "end": 547.81, "word": " rest", "probability": 0.806640625}, {"start": 547.81, "end": 548.09, "word": " of", "probability": 0.94677734375}, {"start": 548.09, "end": 548.21, "word": " the", "probability": 0.7734375}, {"start": 548.21, "end": 548.55, "word": " points", "probability": 0.78125}, {"start": 548.55, "end": 549.13, "word": " go", "probability": 0.09619140625}, {"start": 549.13, "end": 549.43, "word": " back", "probability": 0.7587890625}, {"start": 549.43, "end": 549.57, "word": " to", "probability": 0.9609375}, {"start": 549.57, "end": 549.69, "word": " the", "probability": 0.666015625}, {"start": 549.69, "end": 550.69, "word": " magnifying", "probability": 0.2152862548828125}, {"start": 550.69, "end": 550.69, "word": " glass.", "probability": 0.90234375}], "temperature": 1.0}, {"id": 24, "seek": 57852, "start": 551.98, "end": 578.52, "text": "We want to take an example, a point from the object, point A, and its shape which is a condition, as we used to say at the top of a candle Of course, we will give an example on point A, and this applies to all points of the object We want to say the story or tell the story with A, and this also applies to all stories for all points of the object Point A starts from it", "tokens": [4360, 528, 281, 747, 364, 1365, 11, 257, 935, 490, 264, 2657, 11, 935, 316, 11, 293, 1080, 3909, 597, 307, 257, 4188, 11, 382, 321, 1143, 281, 584, 412, 264, 1192, 295, 257, 17968, 2720, 1164, 11, 321, 486, 976, 364, 1365, 322, 935, 316, 11, 293, 341, 13165, 281, 439, 2793, 295, 264, 2657, 492, 528, 281, 584, 264, 1657, 420, 980, 264, 1657, 365, 316, 11, 293, 341, 611, 13165, 281, 439, 3676, 337, 439, 2793, 295, 264, 2657, 12387, 316, 3719, 490, 309], "avg_logprob": -0.3980823856863109, "compression_ratio": 1.9170984455958548, "no_speech_prob": 2.0265579223632812e-06, "words": [{"start": 551.98, "end": 552.16, "word": "We", "probability": 0.79296875}, {"start": 552.16, "end": 552.3, "word": " want", "probability": 0.5654296875}, {"start": 552.3, "end": 552.38, "word": " to", "probability": 0.974609375}, {"start": 552.38, "end": 552.58, "word": " take", "probability": 0.791015625}, {"start": 552.58, "end": 552.72, "word": " an", "probability": 0.54443359375}, {"start": 552.72, "end": 553.06, "word": " example,", "probability": 0.970703125}, {"start": 553.52, "end": 553.7, "word": " a", "probability": 0.77880859375}, {"start": 553.7, "end": 553.96, "word": " point", "probability": 0.72265625}, {"start": 553.96, "end": 554.24, "word": " from", "probability": 0.73974609375}, {"start": 554.24, "end": 554.38, "word": " the", "probability": 0.82861328125}, {"start": 554.38, "end": 554.76, "word": " object,", "probability": 0.96484375}, {"start": 554.92, "end": 555.28, "word": " point", "probability": 0.80322265625}, {"start": 555.28, "end": 555.54, "word": " A,", "probability": 0.8349609375}, {"start": 556.26, "end": 556.64, "word": " and", "probability": 0.85400390625}, {"start": 556.64, "end": 557.14, "word": " its", "probability": 0.75927734375}, {"start": 557.14, "end": 557.46, "word": " shape", "probability": 0.59912109375}, {"start": 557.46, "end": 557.82, "word": " which", "probability": 0.4228515625}, {"start": 557.82, "end": 558.1, "word": " is", "probability": 0.90283203125}, {"start": 558.1, "end": 558.38, "word": " a", "probability": 0.472900390625}, {"start": 558.38, "end": 558.84, "word": " condition,", "probability": 0.078369140625}, {"start": 559.24, "end": 559.42, "word": " as", "probability": 0.72314453125}, {"start": 559.42, "end": 559.64, "word": " we", "probability": 0.91064453125}, {"start": 559.64, "end": 559.78, "word": " used", "probability": 0.3076171875}, {"start": 559.78, "end": 559.92, "word": " to", "probability": 0.97412109375}, {"start": 559.92, "end": 560.06, "word": " say", "probability": 0.94921875}, {"start": 560.06, "end": 560.28, "word": " at", "probability": 0.06390380859375}, {"start": 560.28, "end": 560.44, "word": " the", "probability": 0.7509765625}, {"start": 560.44, "end": 560.6, "word": " top", "probability": 0.58740234375}, {"start": 560.6, "end": 560.86, "word": " of", "probability": 0.96826171875}, {"start": 560.86, "end": 561.04, "word": " a", "probability": 0.455810546875}, {"start": 561.04, "end": 561.04, "word": " candle", "probability": 0.282470703125}, {"start": 561.04, "end": 561.94, "word": " Of", "probability": 0.49072265625}, {"start": 561.94, "end": 562.18, "word": " course,", "probability": 0.96484375}, {"start": 562.28, "end": 562.46, "word": " we", "probability": 0.96337890625}, {"start": 562.46, "end": 562.64, "word": " will", "probability": 0.5478515625}, {"start": 562.64, "end": 562.84, "word": " give", "probability": 0.482177734375}, {"start": 562.84, "end": 563.06, "word": " an", "probability": 0.8955078125}, {"start": 563.06, "end": 563.32, "word": " example", "probability": 0.9814453125}, {"start": 563.32, "end": 563.7, "word": " on", "probability": 0.44189453125}, {"start": 563.7, "end": 564.22, "word": " point", "probability": 0.802734375}, {"start": 564.22, "end": 564.5, "word": " A,", "probability": 0.9716796875}, {"start": 564.88, "end": 564.92, "word": " and", "probability": 0.8125}, {"start": 564.92, "end": 565.16, "word": " this", "probability": 0.77294921875}, {"start": 565.16, "end": 565.6, "word": " applies", "probability": 0.7880859375}, {"start": 565.6, "end": 566.02, "word": " to", "probability": 0.9287109375}, {"start": 566.02, "end": 566.86, "word": " all", "probability": 0.8154296875}, {"start": 566.86, "end": 567.2, "word": " points", "probability": 0.81982421875}, {"start": 567.2, "end": 567.44, "word": " of", "probability": 0.68505859375}, {"start": 567.44, "end": 567.52, "word": " the", "probability": 0.91650390625}, {"start": 567.52, "end": 567.9, "word": " object", "probability": 0.97119140625}, {"start": 567.9, "end": 568.48, "word": " We", "probability": 0.6162109375}, {"start": 568.48, "end": 568.62, "word": " want", "probability": 0.462158203125}, {"start": 568.62, "end": 568.74, "word": " to", "probability": 0.96875}, {"start": 568.74, "end": 568.96, "word": " say", "probability": 0.916015625}, {"start": 568.96, "end": 569.36, "word": " the", "probability": 0.6904296875}, {"start": 569.36, "end": 569.68, "word": " story", "probability": 0.94287109375}, {"start": 569.68, "end": 569.9, "word": " or", "probability": 0.58837890625}, {"start": 569.9, "end": 570.18, "word": " tell", "probability": 0.6513671875}, {"start": 570.18, "end": 570.36, "word": " the", "probability": 0.85595703125}, {"start": 570.36, "end": 570.66, "word": " story", "probability": 0.935546875}, {"start": 570.66, "end": 570.94, "word": " with", "probability": 0.69970703125}, {"start": 570.94, "end": 571.26, "word": " A,", "probability": 0.4794921875}, {"start": 571.6, "end": 571.7, "word": " and", "probability": 0.900390625}, {"start": 571.7, "end": 571.9, "word": " this", "probability": 0.7705078125}, {"start": 571.9, "end": 572.24, "word": " also", "probability": 0.72021484375}, {"start": 572.24, "end": 572.88, "word": " applies", "probability": 0.71630859375}, {"start": 572.88, "end": 573.96, "word": " to", "probability": 0.9267578125}, {"start": 573.96, "end": 574.36, "word": " all", "probability": 0.9462890625}, {"start": 574.36, "end": 574.78, "word": " stories", "probability": 0.68603515625}, {"start": 574.78, "end": 575.06, "word": " for", "probability": 0.26806640625}, {"start": 575.06, "end": 575.34, "word": " all", "probability": 0.61962890625}, {"start": 575.34, "end": 575.66, "word": " points", "probability": 0.90234375}, {"start": 575.66, "end": 575.82, "word": " of", "probability": 0.9560546875}, {"start": 575.82, "end": 575.9, "word": " the", "probability": 0.91796875}, {"start": 575.9, "end": 576.2, "word": " object", "probability": 0.9658203125}, {"start": 576.2, "end": 577.16, "word": " Point", "probability": 0.6015625}, {"start": 577.16, "end": 577.46, "word": " A", "probability": 0.9609375}, {"start": 577.46, "end": 577.98, "word": " starts", "probability": 0.67236328125}, {"start": 577.98, "end": 578.2, "word": " from", "probability": 0.80615234375}, {"start": 578.2, "end": 578.52, "word": " it", "probability": 0.59912109375}], "temperature": 1.0}, {"id": 25, "seek": 59666, "start": 579.24, "end": 596.66, "text": "thousands and hundreds of thousands and millions of rays in all directions there is a group of rays, let's say one hundred thousand rays will enter the lens these one hundred thousand rays, which are all coming from A, will be collected by the lens and form A condition", "tokens": [392, 563, 2967, 293, 6779, 295, 5383, 293, 6803, 295, 24417, 294, 439, 11095, 456, 307, 257, 1594, 295, 24417, 11, 718, 311, 584, 472, 3262, 4714, 24417, 486, 3242, 264, 6765, 613, 472, 3262, 4714, 24417, 11, 597, 366, 439, 1348, 490, 316, 11, 486, 312, 11087, 538, 264, 6765, 293, 1254, 316, 4188], "avg_logprob": -0.46874999201723505, "compression_ratio": 1.769736842105263, "no_speech_prob": 2.7418136596679688e-05, "words": [{"start": 579.24, "end": 579.8, "word": "thousands", "probability": 0.686279296875}, {"start": 579.8, "end": 579.96, "word": " and", "probability": 0.62939453125}, {"start": 579.96, "end": 580.32, "word": " hundreds", "probability": 0.7998046875}, {"start": 580.32, "end": 580.46, "word": " of", "probability": 0.91796875}, {"start": 580.46, "end": 580.74, "word": " thousands", "probability": 0.87646484375}, {"start": 580.74, "end": 580.96, "word": " and", "probability": 0.87353515625}, {"start": 580.96, "end": 581.34, "word": " millions", "probability": 0.95458984375}, {"start": 581.34, "end": 581.54, "word": " of", "probability": 0.93603515625}, {"start": 581.54, "end": 581.84, "word": " rays", "probability": 0.6767578125}, {"start": 581.84, "end": 582.5, "word": " in", "probability": 0.8037109375}, {"start": 582.5, "end": 582.98, "word": " all", "probability": 0.9091796875}, {"start": 582.98, "end": 583.58, "word": " directions", "probability": 0.76123046875}, {"start": 583.58, "end": 584.48, "word": " there", "probability": 0.1943359375}, {"start": 584.48, "end": 584.58, "word": " is", "probability": 0.69287109375}, {"start": 584.58, "end": 584.7, "word": " a", "probability": 0.87890625}, {"start": 584.7, "end": 584.94, "word": " group", "probability": 0.444091796875}, {"start": 584.94, "end": 585.22, "word": " of", "probability": 0.96923828125}, {"start": 585.22, "end": 585.8, "word": " rays,", "probability": 0.884765625}, {"start": 586.28, "end": 586.4, "word": " let's", "probability": 0.788330078125}, {"start": 586.4, "end": 586.64, "word": " say", "probability": 0.413818359375}, {"start": 586.64, "end": 586.74, "word": " one", "probability": 0.25048828125}, {"start": 586.74, "end": 586.98, "word": " hundred", "probability": 0.92578125}, {"start": 586.98, "end": 587.38, "word": " thousand", "probability": 0.794921875}, {"start": 587.38, "end": 587.74, "word": " rays", "probability": 0.8134765625}, {"start": 587.74, "end": 588.08, "word": " will", "probability": 0.45361328125}, {"start": 588.08, "end": 588.4, "word": " enter", "probability": 0.7685546875}, {"start": 588.4, "end": 588.58, "word": " the", "probability": 0.8583984375}, {"start": 588.58, "end": 588.86, "word": " lens", "probability": 0.79736328125}, {"start": 588.86, "end": 589.96, "word": " these", "probability": 0.359619140625}, {"start": 589.96, "end": 590.04, "word": " one", "probability": 0.6201171875}, {"start": 590.04, "end": 590.3, "word": " hundred", "probability": 0.9365234375}, {"start": 590.3, "end": 590.54, "word": " thousand", "probability": 0.8486328125}, {"start": 590.54, "end": 591.06, "word": " rays,", "probability": 0.9443359375}, {"start": 591.84, "end": 591.96, "word": " which", "probability": 0.69140625}, {"start": 591.96, "end": 592.16, "word": " are", "probability": 0.278076171875}, {"start": 592.16, "end": 592.3, "word": " all", "probability": 0.64697265625}, {"start": 592.3, "end": 592.48, "word": " coming", "probability": 0.8251953125}, {"start": 592.48, "end": 593.06, "word": " from", "probability": 0.8798828125}, {"start": 593.06, "end": 593.46, "word": " A,", "probability": 0.31689453125}, {"start": 593.9, "end": 594.04, "word": " will", "probability": 0.6279296875}, {"start": 594.04, "end": 594.16, "word": " be", "probability": 0.68701171875}, {"start": 594.16, "end": 594.34, "word": " collected", "probability": 0.158935546875}, {"start": 594.34, "end": 594.62, "word": " by", "probability": 0.955078125}, {"start": 594.62, "end": 594.68, "word": " the", "probability": 0.91650390625}, {"start": 594.68, "end": 595.0, "word": " lens", "probability": 0.8662109375}, {"start": 595.0, "end": 595.24, "word": " and", "probability": 0.84423828125}, {"start": 595.24, "end": 595.7, "word": " form", "probability": 0.24609375}, {"start": 595.7, "end": 596.22, "word": " A", "probability": 0.54541015625}, {"start": 596.22, "end": 596.66, "word": " condition", "probability": 0.1710205078125}], "temperature": 1.0}, {"id": 26, "seek": 62373, "start": 597.51, "end": 623.73, "text": "Until now, there was no mention of nodal points From the 100,000 rays, there will be one direction that is directed towards the anterior nodal point Scientists found in the experiment that this ray will come out of the posterior nodal point and go to form an A-shape You can say, what's the difference? The 100,000 rays will enter the lens", "tokens": [52, 580, 388, 586, 11, 456, 390, 572, 2152, 295, 15224, 304, 2793, 3358, 264, 2319, 11, 1360, 24417, 11, 456, 486, 312, 472, 3513, 300, 307, 12898, 3030, 264, 22272, 15224, 304, 935, 32958, 1352, 294, 264, 5120, 300, 341, 18592, 486, 808, 484, 295, 264, 33529, 15224, 304, 935, 293, 352, 281, 1254, 364, 316, 12, 82, 42406, 509, 393, 584, 11, 437, 311, 264, 2649, 30, 440, 2319, 11, 1360, 24417, 486, 3242, 264, 6765], "avg_logprob": -0.5233386030680016, "compression_ratio": 1.661764705882353, "no_speech_prob": 3.039836883544922e-06, "words": [{"start": 597.51, "end": 597.95, "word": "Until", "probability": 0.6983439127604166}, {"start": 597.95, "end": 598.39, "word": " now,", "probability": 0.92529296875}, {"start": 598.57, "end": 598.61, "word": " there", "probability": 0.31494140625}, {"start": 598.61, "end": 599.09, "word": " was", "probability": 0.2783203125}, {"start": 599.09, "end": 599.31, "word": " no", "probability": 0.86669921875}, {"start": 599.31, "end": 599.55, "word": " mention", "probability": 0.91748046875}, {"start": 599.55, "end": 599.71, "word": " of", "probability": 0.94677734375}, {"start": 599.71, "end": 600.17, "word": " nodal", "probability": 0.978271484375}, {"start": 600.17, "end": 600.57, "word": " points", "probability": 0.88623046875}, {"start": 600.57, "end": 601.27, "word": " From", "probability": 0.1837158203125}, {"start": 601.27, "end": 601.43, "word": " the", "probability": 0.409423828125}, {"start": 601.43, "end": 601.71, "word": " 100", "probability": 0.5400390625}, {"start": 601.71, "end": 602.19, "word": ",000", "probability": 0.725341796875}, {"start": 602.19, "end": 602.51, "word": " rays,", "probability": 0.32177734375}, {"start": 603.17, "end": 603.17, "word": " there", "probability": 0.400146484375}, {"start": 603.17, "end": 603.33, "word": " will", "probability": 0.6484375}, {"start": 603.33, "end": 603.59, "word": " be", "probability": 0.91552734375}, {"start": 603.59, "end": 604.05, "word": " one", "probability": 0.59912109375}, {"start": 604.05, "end": 604.27, "word": " direction", "probability": 0.2301025390625}, {"start": 604.27, "end": 605.65, "word": " that", "probability": 0.194580078125}, {"start": 605.65, "end": 607.17, "word": " is", "probability": 0.356689453125}, {"start": 607.17, "end": 607.63, "word": " directed", "probability": 0.64013671875}, {"start": 607.63, "end": 608.39, "word": " towards", "probability": 0.423095703125}, {"start": 608.39, "end": 608.53, "word": " the", "probability": 0.64599609375}, {"start": 608.53, "end": 608.99, "word": " anterior", "probability": 0.94677734375}, {"start": 608.99, "end": 609.51, "word": " nodal", "probability": 0.97412109375}, {"start": 609.51, "end": 609.91, "word": " point", "probability": 0.9560546875}, {"start": 609.91, "end": 611.17, "word": " Scientists", "probability": 0.66552734375}, {"start": 611.17, "end": 611.39, "word": " found", "probability": 0.7314453125}, {"start": 611.39, "end": 611.55, "word": " in", "probability": 0.405029296875}, {"start": 611.55, "end": 611.65, "word": " the", "probability": 0.42431640625}, {"start": 611.65, "end": 611.99, "word": " experiment", "probability": 0.91650390625}, {"start": 611.99, "end": 612.25, "word": " that", "probability": 0.8359375}, {"start": 612.25, "end": 612.57, "word": " this", "probability": 0.87646484375}, {"start": 612.57, "end": 612.89, "word": " ray", "probability": 0.5712890625}, {"start": 612.89, "end": 613.71, "word": " will", "probability": 0.60546875}, {"start": 613.71, "end": 614.03, "word": " come", "probability": 0.232177734375}, {"start": 614.03, "end": 614.13, "word": " out", "probability": 0.84814453125}, {"start": 614.13, "end": 614.31, "word": " of", "probability": 0.75341796875}, {"start": 614.31, "end": 614.45, "word": " the", "probability": 0.88427734375}, {"start": 614.45, "end": 614.93, "word": " posterior", "probability": 0.8271484375}, {"start": 614.93, "end": 615.53, "word": " nodal", "probability": 0.971435546875}, {"start": 615.53, "end": 616.01, "word": " point", "probability": 0.97314453125}, {"start": 616.01, "end": 616.55, "word": " and", "probability": 0.77392578125}, {"start": 616.55, "end": 616.85, "word": " go", "probability": 0.25244140625}, {"start": 616.85, "end": 617.07, "word": " to", "probability": 0.533203125}, {"start": 617.07, "end": 617.43, "word": " form", "probability": 0.4912109375}, {"start": 617.43, "end": 617.63, "word": " an", "probability": 0.41796875}, {"start": 617.63, "end": 617.71, "word": " A", "probability": 0.2227783203125}, {"start": 617.71, "end": 617.91, "word": "-shape", "probability": 0.60107421875}, {"start": 617.91, "end": 618.11, "word": " You", "probability": 0.2166748046875}, {"start": 618.11, "end": 618.29, "word": " can", "probability": 0.484130859375}, {"start": 618.29, "end": 618.59, "word": " say,", "probability": 0.7216796875}, {"start": 618.75, "end": 619.67, "word": " what's", "probability": 0.3900146484375}, {"start": 619.67, "end": 620.61, "word": " the", "probability": 0.90576171875}, {"start": 620.61, "end": 620.89, "word": " difference?", "probability": 0.82666015625}, {"start": 620.99, "end": 621.31, "word": " The", "probability": 0.31005859375}, {"start": 621.31, "end": 621.57, "word": " 100", "probability": 0.63232421875}, {"start": 621.57, "end": 621.95, "word": ",000", "probability": 0.969482421875}, {"start": 621.95, "end": 622.41, "word": " rays", "probability": 0.8935546875}, {"start": 622.41, "end": 622.93, "word": " will", "probability": 0.80810546875}, {"start": 622.93, "end": 623.23, "word": " enter", "probability": 0.7490234375}, {"start": 623.23, "end": 623.41, "word": " the", "probability": 0.8564453125}, {"start": 623.41, "end": 623.73, "word": " lens", "probability": 0.86669921875}], "temperature": 1.0}, {"id": 27, "seek": 65222, "start": 624.44, "end": 652.22, "text": "they will enter the lens and they will gather all of them, which means that the ray that entered the lens from the front surface will exit from the back surface after breaking, after breaking the lens and leaving which means that it contributes to the formation of what is what condition we say yes, but the difference is that this ray that was destined to enter the anterior nodal point and exit from the posterior nodal point this ray will make an angle with the optical axis which is theta", "tokens": [13162, 486, 3242, 264, 6765, 293, 436, 486, 5448, 439, 295, 552, 11, 597, 1355, 300, 264, 18592, 300, 9065, 264, 6765, 490, 264, 1868, 3753, 486, 11043, 490, 264, 646, 3753, 934, 7697, 11, 934, 7697, 264, 6765, 293, 5012, 597, 1355, 300, 309, 32035, 281, 264, 11723, 295, 437, 307, 437, 4188, 321, 584, 2086, 11, 457, 264, 2649, 307, 300, 341, 18592, 300, 390, 33169, 281, 3242, 264, 22272, 15224, 304, 935, 293, 11043, 490, 264, 33529, 15224, 304, 935, 341, 18592, 486, 652, 364, 5802, 365, 264, 20674, 10298, 597, 307, 9725], "avg_logprob": -0.41688145313066305, "compression_ratio": 2.1206896551724137, "no_speech_prob": 8.463859558105469e-06, "words": [{"start": 624.44, "end": 624.62, "word": "they", "probability": 0.23388671875}, {"start": 624.62, "end": 624.72, "word": " will", "probability": 0.60986328125}, {"start": 624.72, "end": 624.9, "word": " enter", "probability": 0.52099609375}, {"start": 624.9, "end": 625.06, "word": " the", "probability": 0.81689453125}, {"start": 625.06, "end": 625.32, "word": " lens", "probability": 0.80126953125}, {"start": 625.32, "end": 625.86, "word": " and", "probability": 0.77001953125}, {"start": 625.86, "end": 625.96, "word": " they", "probability": 0.2310791015625}, {"start": 625.96, "end": 626.06, "word": " will", "probability": 0.806640625}, {"start": 626.06, "end": 626.4, "word": " gather", "probability": 0.2325439453125}, {"start": 626.4, "end": 626.82, "word": " all", "probability": 0.383056640625}, {"start": 626.82, "end": 626.9, "word": " of", "probability": 0.343017578125}, {"start": 626.9, "end": 626.96, "word": " them,", "probability": 0.91015625}, {"start": 627.02, "end": 627.18, "word": " which", "probability": 0.220703125}, {"start": 627.18, "end": 627.18, "word": " means", "probability": 0.912109375}, {"start": 627.18, "end": 627.3, "word": " that", "probability": 0.56787109375}, {"start": 627.3, "end": 627.36, "word": " the", "probability": 0.7919921875}, {"start": 627.36, "end": 627.5, "word": " ray", "probability": 0.170166015625}, {"start": 627.5, "end": 627.74, "word": " that", "probability": 0.50927734375}, {"start": 627.74, "end": 628.04, "word": " entered", "probability": 0.556640625}, {"start": 628.04, "end": 628.2, "word": " the", "probability": 0.82568359375}, {"start": 628.2, "end": 628.48, "word": " lens", "probability": 0.92578125}, {"start": 628.48, "end": 628.68, "word": " from", "probability": 0.80810546875}, {"start": 628.68, "end": 628.86, "word": " the", "probability": 0.66455078125}, {"start": 628.86, "end": 629.38, "word": " front", "probability": 0.8857421875}, {"start": 629.38, "end": 629.58, "word": " surface", "probability": 0.55810546875}, {"start": 629.58, "end": 630.16, "word": " will", "probability": 0.65869140625}, {"start": 630.16, "end": 630.52, "word": " exit", "probability": 0.42919921875}, {"start": 630.52, "end": 630.76, "word": " from", "probability": 0.80810546875}, {"start": 630.76, "end": 631.4, "word": " the", "probability": 0.8837890625}, {"start": 631.4, "end": 631.64, "word": " back", "probability": 0.61474609375}, {"start": 631.64, "end": 631.74, "word": " surface", "probability": 0.6826171875}, {"start": 631.74, "end": 632.08, "word": " after", "probability": 0.693359375}, {"start": 632.08, "end": 632.58, "word": " breaking,", "probability": 0.552734375}, {"start": 632.68, "end": 632.86, "word": " after", "probability": 0.75341796875}, {"start": 632.86, "end": 633.3, "word": " breaking", "probability": 0.88232421875}, {"start": 633.3, "end": 633.52, "word": " the", "probability": 0.86767578125}, {"start": 633.52, "end": 633.76, "word": " lens", "probability": 0.91796875}, {"start": 633.76, "end": 633.94, "word": " and", "probability": 0.7138671875}, {"start": 633.94, "end": 634.12, "word": " leaving", "probability": 0.18505859375}, {"start": 634.12, "end": 634.7, "word": " which", "probability": 0.3466796875}, {"start": 634.7, "end": 634.92, "word": " means", "probability": 0.8857421875}, {"start": 634.92, "end": 635.04, "word": " that", "probability": 0.50390625}, {"start": 635.04, "end": 635.14, "word": " it", "probability": 0.8359375}, {"start": 635.14, "end": 635.54, "word": " contributes", "probability": 0.6591796875}, {"start": 635.54, "end": 635.8, "word": " to", "probability": 0.75341796875}, {"start": 635.8, "end": 636.34, "word": " the", "probability": 0.331787109375}, {"start": 636.34, "end": 636.34, "word": " formation", "probability": 0.89013671875}, {"start": 636.34, "end": 636.48, "word": " of", "probability": 0.974609375}, {"start": 636.48, "end": 637.18, "word": " what", "probability": 0.369140625}, {"start": 637.18, "end": 637.38, "word": " is", "probability": 0.41259765625}, {"start": 637.38, "end": 637.8, "word": " what", "probability": 0.427490234375}, {"start": 637.8, "end": 638.16, "word": " condition", "probability": 0.74365234375}, {"start": 638.16, "end": 638.7, "word": " we", "probability": 0.2802734375}, {"start": 638.7, "end": 638.96, "word": " say", "probability": 0.771484375}, {"start": 638.96, "end": 639.16, "word": " yes,", "probability": 0.69921875}, {"start": 639.24, "end": 639.46, "word": " but", "probability": 0.9033203125}, {"start": 639.46, "end": 639.66, "word": " the", "probability": 0.91455078125}, {"start": 639.66, "end": 639.96, "word": " difference", "probability": 0.83642578125}, {"start": 639.96, "end": 640.22, "word": " is", "probability": 0.9140625}, {"start": 640.22, "end": 640.6, "word": " that", "probability": 0.8994140625}, {"start": 640.6, "end": 640.96, "word": " this", "probability": 0.84423828125}, {"start": 640.96, "end": 641.4, "word": " ray", "probability": 0.89453125}, {"start": 641.4, "end": 641.66, "word": " that", "probability": 0.481689453125}, {"start": 641.66, "end": 641.94, "word": " was", "probability": 0.5751953125}, {"start": 641.94, "end": 642.42, "word": " destined", "probability": 0.6630859375}, {"start": 642.42, "end": 642.58, "word": " to", "probability": 0.96630859375}, {"start": 642.58, "end": 642.98, "word": " enter", "probability": 0.88818359375}, {"start": 642.98, "end": 643.6, "word": " the", "probability": 0.65771484375}, {"start": 643.6, "end": 644.1, "word": " anterior", "probability": 0.97216796875}, {"start": 644.1, "end": 644.68, "word": " nodal", "probability": 0.974853515625}, {"start": 644.68, "end": 645.06, "word": " point", "probability": 0.9765625}, {"start": 645.06, "end": 645.28, "word": " and", "probability": 0.916015625}, {"start": 645.28, "end": 645.58, "word": " exit", "probability": 0.7763671875}, {"start": 645.58, "end": 645.82, "word": " from", "probability": 0.7392578125}, {"start": 645.82, "end": 645.96, "word": " the", "probability": 0.85302734375}, {"start": 645.96, "end": 646.36, "word": " posterior", "probability": 0.8720703125}, {"start": 646.36, "end": 646.92, "word": " nodal", "probability": 0.951416015625}, {"start": 646.92, "end": 647.3, "word": " point", "probability": 0.97265625}, {"start": 647.3, "end": 648.24, "word": " this", "probability": 0.66943359375}, {"start": 648.24, "end": 648.6, "word": " ray", "probability": 0.9267578125}, {"start": 648.6, "end": 648.92, "word": " will", "probability": 0.83349609375}, {"start": 648.92, "end": 649.22, "word": " make", "probability": 0.71337890625}, {"start": 649.22, "end": 649.7, "word": " an", "probability": 0.70556640625}, {"start": 649.7, "end": 649.8, "word": " angle", "probability": 0.89453125}, {"start": 649.8, "end": 650.18, "word": " with", "probability": 0.865234375}, {"start": 650.18, "end": 650.32, "word": " the", "probability": 0.90771484375}, {"start": 650.32, "end": 650.72, "word": " optical", "probability": 0.92822265625}, {"start": 650.72, "end": 651.38, "word": " axis", "probability": 0.96484375}, {"start": 651.38, "end": 651.58, "word": " which", "probability": 0.736328125}, {"start": 651.58, "end": 651.8, "word": " is", "probability": 0.951171875}, {"start": 651.8, "end": 652.22, "word": " theta", "probability": 0.7998046875}], "temperature": 1.0}, {"id": 28, "seek": 67178, "start": 652.92, "end": 671.78, "text": "equal to the angle of exit of this ray after breaking it, of course, which is equal to theta 2. We called it theta 2. So theta, which is the angle of entry of the ray coming from A and going to the anterior nodal point, exits from the posterior nodal point", "tokens": [12816, 304, 281, 264, 5802, 295, 11043, 295, 341, 18592, 934, 7697, 309, 11, 295, 1164, 11, 597, 307, 2681, 281, 9725, 568, 13, 492, 1219, 309, 9725, 568, 13, 407, 9725, 11, 597, 307, 264, 5802, 295, 8729, 295, 264, 18592, 1348, 490, 316, 293, 516, 281, 264, 22272, 15224, 304, 935, 11, 44183, 490, 264, 33529, 15224, 304, 935], "avg_logprob": -0.5191532373428345, "compression_ratio": 1.7066666666666668, "no_speech_prob": 1.9252300262451172e-05, "words": [{"start": 652.92, "end": 653.52, "word": "equal", "probability": 0.30694580078125}, {"start": 653.52, "end": 653.66, "word": " to", "probability": 0.7294921875}, {"start": 653.66, "end": 653.66, "word": " the", "probability": 0.53857421875}, {"start": 653.66, "end": 653.92, "word": " angle", "probability": 0.412841796875}, {"start": 653.92, "end": 654.1, "word": " of", "probability": 0.82861328125}, {"start": 654.1, "end": 654.64, "word": " exit", "probability": 0.436279296875}, {"start": 654.64, "end": 655.78, "word": " of", "probability": 0.53515625}, {"start": 655.78, "end": 655.96, "word": " this", "probability": 0.63427734375}, {"start": 655.96, "end": 656.28, "word": " ray", "probability": 0.3525390625}, {"start": 656.28, "end": 656.8, "word": " after", "probability": 0.5966796875}, {"start": 656.8, "end": 657.18, "word": " breaking", "probability": 0.199951171875}, {"start": 657.18, "end": 657.42, "word": " it,", "probability": 0.67626953125}, {"start": 657.6, "end": 657.6, "word": " of", "probability": 0.291259765625}, {"start": 657.6, "end": 658.42, "word": " course,", "probability": 0.9619140625}, {"start": 658.68, "end": 658.72, "word": " which", "probability": 0.31201171875}, {"start": 658.72, "end": 658.84, "word": " is", "probability": 0.68408203125}, {"start": 658.84, "end": 659.14, "word": " equal", "probability": 0.4912109375}, {"start": 659.14, "end": 659.4, "word": " to", "probability": 0.97265625}, {"start": 659.4, "end": 659.72, "word": " theta", "probability": 0.5078125}, {"start": 659.72, "end": 660.2, "word": " 2.", "probability": 0.55859375}, {"start": 660.62, "end": 660.68, "word": " We", "probability": 0.493408203125}, {"start": 660.68, "end": 660.96, "word": " called", "probability": 0.13427734375}, {"start": 660.96, "end": 661.34, "word": " it", "probability": 0.90380859375}, {"start": 661.34, "end": 661.64, "word": " theta", "probability": 0.83984375}, {"start": 661.64, "end": 662.0, "word": " 2.", "probability": 0.96142578125}, {"start": 662.1, "end": 662.28, "word": " So", "probability": 0.8212890625}, {"start": 662.28, "end": 662.78, "word": " theta,", "probability": 0.56005859375}, {"start": 663.4, "end": 663.64, "word": " which", "probability": 0.904296875}, {"start": 663.64, "end": 663.8, "word": " is", "probability": 0.939453125}, {"start": 663.8, "end": 664.08, "word": " the", "probability": 0.89501953125}, {"start": 664.08, "end": 664.12, "word": " angle", "probability": 0.8583984375}, {"start": 664.12, "end": 664.32, "word": " of", "probability": 0.90771484375}, {"start": 664.32, "end": 664.52, "word": " entry", "probability": 0.423828125}, {"start": 664.52, "end": 664.7, "word": " of", "probability": 0.91943359375}, {"start": 664.7, "end": 664.76, "word": " the", "probability": 0.85107421875}, {"start": 664.76, "end": 665.22, "word": " ray", "probability": 0.59912109375}, {"start": 665.22, "end": 666.04, "word": " coming", "probability": 0.31640625}, {"start": 666.04, "end": 666.38, "word": " from", "probability": 0.88720703125}, {"start": 666.38, "end": 666.72, "word": " A", "probability": 0.623046875}, {"start": 666.72, "end": 667.94, "word": " and", "probability": 0.484130859375}, {"start": 667.94, "end": 668.16, "word": " going", "probability": 0.75341796875}, {"start": 668.16, "end": 668.34, "word": " to", "probability": 0.931640625}, {"start": 668.34, "end": 668.44, "word": " the", "probability": 0.658203125}, {"start": 668.44, "end": 668.78, "word": " anterior", "probability": 0.9599609375}, {"start": 668.78, "end": 669.2, "word": " nodal", "probability": 0.970703125}, {"start": 669.2, "end": 669.5, "word": " point,", "probability": 0.97607421875}, {"start": 669.68, "end": 670.12, "word": " exits", "probability": 0.337158203125}, {"start": 670.12, "end": 670.44, "word": " from", "probability": 0.480224609375}, {"start": 670.44, "end": 670.54, "word": " the", "probability": 0.853515625}, {"start": 670.54, "end": 670.96, "word": " posterior", "probability": 0.87841796875}, {"start": 670.96, "end": 671.46, "word": " nodal", "probability": 0.960693359375}, {"start": 671.46, "end": 671.78, "word": " point", "probability": 0.974609375}], "temperature": 1.0}, {"id": 29, "seek": 69487, "start": 672.13, "end": 694.87, "text": "وبيروح هو منتهى لإي شرطة ده قولا واحدا بس الفرق .. فرق هذا الشعاع .. هذا الشعاع خلينا نسمي الشعاع scene تمام؟ هذا الشعاع scene لما بدخل في ال anterior nodal point بيعمل زاوية مع ال optical axis و هو نفس الشعاع scene لما بخرج من العدسة تمام؟ و بيروح على إي شرطة بيعمل θ2", "tokens": [2407, 21292, 32887, 5016, 31439, 3714, 29399, 3224, 7578, 5296, 28814, 1829, 13412, 2288, 9566, 3660, 11778, 3224, 12174, 12610, 995, 36764, 24401, 995, 4724, 3794, 27188, 2288, 4587, 4386, 6156, 2288, 4587, 23758, 25124, 3615, 45761, 4386, 23758, 25124, 3615, 45761, 16490, 20292, 8315, 8717, 38251, 1829, 25124, 3615, 45761, 4145, 46811, 10943, 22807, 23758, 25124, 3615, 45761, 4145, 5296, 15042, 47525, 9778, 1211, 8978, 2423, 22272, 15224, 304, 935, 4724, 1829, 25957, 1211, 30767, 995, 2407, 10632, 20449, 2423, 20674, 10298, 4032, 31439, 8717, 36178, 25124, 3615, 45761, 4145, 5296, 15042, 4724, 34740, 7435, 9154, 18863, 3215, 3794, 3660, 46811, 10943, 22807, 4032, 4724, 13546, 2407, 5016, 15844, 11933, 1829, 13412, 2288, 9566, 3660, 4724, 1829, 25957, 1211, 12622, 17], "avg_logprob": -0.1478658473588587, "compression_ratio": 1.8125, "no_speech_prob": 3.910064697265625e-05, "words": [{"start": 672.13, "end": 672.83, "word": "وبيروح", "probability": 0.7020263671875}, {"start": 672.83, "end": 673.47, "word": " هو", "probability": 0.75048828125}, {"start": 673.47, "end": 674.13, "word": " منتهى", "probability": 0.75079345703125}, {"start": 674.13, "end": 674.35, "word": " لإي", "probability": 0.8771158854166666}, {"start": 674.35, "end": 674.73, "word": " شرطة", "probability": 0.8958740234375}, {"start": 674.73, "end": 674.93, "word": " ده", "probability": 0.5574951171875}, {"start": 674.93, "end": 675.27, "word": " قولا", "probability": 0.8740234375}, {"start": 675.27, "end": 675.77, "word": " واحدا", "probability": 0.9485677083333334}, {"start": 675.77, "end": 676.43, "word": " بس", "probability": 0.8271484375}, {"start": 676.43, "end": 677.05, "word": " الفرق", "probability": 0.7509765625}, {"start": 677.05, "end": 677.27, "word": " ..", "probability": 0.52978515625}, {"start": 677.27, "end": 678.11, "word": " فرق", "probability": 0.9129231770833334}, {"start": 678.11, "end": 678.41, "word": " هذا", "probability": 0.8271484375}, {"start": 678.41, "end": 678.97, "word": " الشعاع", "probability": 0.9498697916666666}, {"start": 678.97, "end": 679.23, "word": " ..", "probability": 0.79541015625}, {"start": 679.23, "end": 679.47, "word": " هذا", "probability": 0.87890625}, {"start": 679.47, "end": 680.29, "word": " الشعاع", "probability": 0.9820963541666666}, {"start": 680.29, "end": 680.63, "word": " خلينا", "probability": 0.6778157552083334}, {"start": 680.63, "end": 681.01, "word": " نسمي", "probability": 0.982421875}, {"start": 681.01, "end": 681.43, "word": " الشعاع", "probability": 0.8977864583333334}, {"start": 681.43, "end": 681.83, "word": " scene", "probability": 0.84716796875}, {"start": 681.83, "end": 682.85, "word": " تمام؟", "probability": 0.8440755208333334}, {"start": 682.85, "end": 683.05, "word": " هذا", "probability": 0.91650390625}, {"start": 683.05, "end": 683.35, "word": " الشعاع", "probability": 0.9755859375}, {"start": 683.35, "end": 683.63, "word": " scene", "probability": 0.9501953125}, {"start": 683.63, "end": 683.83, "word": " لما", "probability": 0.926025390625}, {"start": 683.83, "end": 684.21, "word": " بدخل", "probability": 0.8753255208333334}, {"start": 684.21, "end": 684.31, "word": " في", "probability": 0.76953125}, {"start": 684.31, "end": 684.41, "word": " ال", "probability": 0.93701171875}, {"start": 684.41, "end": 684.81, "word": " anterior", "probability": 0.92138671875}, {"start": 684.81, "end": 685.33, "word": " nodal", "probability": 0.96728515625}, {"start": 685.33, "end": 685.75, "word": " point", "probability": 0.9853515625}, {"start": 685.75, "end": 686.53, "word": " بيعمل", "probability": 0.961669921875}, {"start": 686.53, "end": 686.91, "word": " زاوية", "probability": 0.9754638671875}, {"start": 686.91, "end": 687.07, "word": " مع", "probability": 0.99072265625}, {"start": 687.07, "end": 687.21, "word": " ال", "probability": 0.99365234375}, {"start": 687.21, "end": 687.49, "word": " optical", "probability": 0.94775390625}, {"start": 687.49, "end": 688.11, "word": " axis", "probability": 0.94677734375}, {"start": 688.11, "end": 688.49, "word": " و", "probability": 0.92578125}, {"start": 688.49, "end": 688.61, "word": " هو", "probability": 0.5556640625}, {"start": 688.61, "end": 688.87, "word": " نفس", "probability": 0.9931640625}, {"start": 688.87, "end": 689.37, "word": " الشعاع", "probability": 0.9537760416666666}, {"start": 689.37, "end": 689.61, "word": " scene", "probability": 0.96142578125}, {"start": 689.61, "end": 689.83, "word": " لما", "probability": 0.9755859375}, {"start": 689.83, "end": 690.27, "word": " بخرج", "probability": 0.9895833333333334}, {"start": 690.27, "end": 690.43, "word": " من", "probability": 0.9951171875}, {"start": 690.43, "end": 691.15, "word": " العدسة", "probability": 0.98486328125}, {"start": 691.15, "end": 691.75, "word": " تمام؟", "probability": 0.8748372395833334}, {"start": 691.75, "end": 691.83, "word": " و", "probability": 0.994140625}, {"start": 691.83, "end": 692.17, "word": " بيروح", "probability": 0.9647216796875}, {"start": 692.17, "end": 692.45, "word": " على", "probability": 0.75830078125}, {"start": 692.45, "end": 692.69, "word": " إي", "probability": 0.813232421875}, {"start": 692.69, "end": 693.29, "word": " شرطة", "probability": 0.99072265625}, {"start": 693.29, "end": 694.15, "word": " بيعمل", "probability": 0.88037109375}, {"start": 694.15, "end": 694.87, "word": " θ2", "probability": 0.4774169921875}], "temperature": 1.0}, {"id": 30, "seek": 71811, "start": 695.35, "end": 718.11, "text": "Theta and theta2 are equilateral angles .. equilateral angles If we assume that the anterior and posterior nodal points are the same I will keep saying .. if we come to describe here in the science of geometrical optics, we say the ray scene .. the ray scene that started from point A", "tokens": [2434, 7664, 293, 9725, 17, 366, 1267, 37751, 14708, 4386, 1267, 37751, 14708, 759, 321, 6552, 300, 264, 22272, 293, 33529, 15224, 304, 2793, 366, 264, 912, 286, 486, 1066, 1566, 4386, 498, 321, 808, 281, 6786, 510, 294, 264, 3497, 295, 12956, 15888, 42599, 11, 321, 584, 264, 18592, 4145, 4386, 264, 18592, 4145, 300, 1409, 490, 935, 316], "avg_logprob": -0.5527664012596255, "compression_ratio": 1.6608187134502923, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 695.35, "end": 695.89, "word": "Theta", "probability": 0.6861572265625}, {"start": 695.89, "end": 696.01, "word": " and", "probability": 0.82861328125}, {"start": 696.01, "end": 696.59, "word": " theta2", "probability": 0.623291015625}, {"start": 696.59, "end": 697.19, "word": " are", "probability": 0.64501953125}, {"start": 697.19, "end": 698.19, "word": " equilateral", "probability": 0.5128173828125}, {"start": 698.19, "end": 698.21, "word": " angles", "probability": 0.8388671875}, {"start": 698.21, "end": 698.41, "word": " ..", "probability": 0.259521484375}, {"start": 698.41, "end": 699.61, "word": " equilateral", "probability": 0.7939453125}, {"start": 699.61, "end": 699.61, "word": " angles", "probability": 0.92578125}, {"start": 699.61, "end": 700.43, "word": " If", "probability": 0.412109375}, {"start": 700.43, "end": 700.95, "word": " we", "probability": 0.93115234375}, {"start": 700.95, "end": 700.95, "word": " assume", "probability": 0.348876953125}, {"start": 700.95, "end": 701.53, "word": " that", "probability": 0.205322265625}, {"start": 701.53, "end": 705.07, "word": " the", "probability": 0.380126953125}, {"start": 705.07, "end": 705.65, "word": " anterior", "probability": 0.93896484375}, {"start": 705.65, "end": 705.91, "word": " and", "probability": 0.9189453125}, {"start": 705.91, "end": 706.53, "word": " posterior", "probability": 0.703125}, {"start": 706.53, "end": 707.19, "word": " nodal", "probability": 0.935546875}, {"start": 707.19, "end": 707.57, "word": " points", "probability": 0.619140625}, {"start": 707.57, "end": 707.65, "word": " are", "probability": 0.77490234375}, {"start": 707.65, "end": 707.89, "word": " the", "probability": 0.0943603515625}, {"start": 707.89, "end": 708.05, "word": " same", "probability": 0.90380859375}, {"start": 708.05, "end": 708.71, "word": " I", "probability": 0.6376953125}, {"start": 708.71, "end": 709.01, "word": " will", "probability": 0.66650390625}, {"start": 709.01, "end": 709.23, "word": " keep", "probability": 0.54443359375}, {"start": 709.23, "end": 709.59, "word": " saying", "probability": 0.73486328125}, {"start": 709.59, "end": 709.73, "word": " ..", "probability": 0.28466796875}, {"start": 709.73, "end": 709.91, "word": " if", "probability": 0.6923828125}, {"start": 709.91, "end": 710.19, "word": " we", "probability": 0.92626953125}, {"start": 710.19, "end": 710.19, "word": " come", "probability": 0.38232421875}, {"start": 710.19, "end": 710.35, "word": " to", "probability": 0.452880859375}, {"start": 710.35, "end": 710.73, "word": " describe", "probability": 0.66064453125}, {"start": 710.73, "end": 710.97, "word": " here", "probability": 0.421142578125}, {"start": 710.97, "end": 711.13, "word": " in", "probability": 0.8369140625}, {"start": 711.13, "end": 711.19, "word": " the", "probability": 0.3076171875}, {"start": 711.19, "end": 711.35, "word": " science", "probability": 0.450439453125}, {"start": 711.35, "end": 711.47, "word": " of", "probability": 0.970703125}, {"start": 711.47, "end": 712.07, "word": " geometrical", "probability": 0.9580078125}, {"start": 712.07, "end": 712.59, "word": " optics,", "probability": 0.962890625}, {"start": 712.65, "end": 712.75, "word": " we", "probability": 0.8662109375}, {"start": 712.75, "end": 712.95, "word": " say", "probability": 0.66650390625}, {"start": 712.95, "end": 713.13, "word": " the", "probability": 0.400634765625}, {"start": 713.13, "end": 713.37, "word": " ray", "probability": 0.0175323486328125}, {"start": 713.37, "end": 713.85, "word": " scene", "probability": 0.796875}, {"start": 713.85, "end": 714.51, "word": " ..", "probability": 0.515625}, {"start": 714.51, "end": 714.99, "word": " the", "probability": 0.70703125}, {"start": 714.99, "end": 715.31, "word": " ray", "probability": 0.955078125}, {"start": 715.31, "end": 715.79, "word": " scene", "probability": 0.94189453125}, {"start": 715.79, "end": 716.67, "word": " that", "probability": 0.31689453125}, {"start": 716.67, "end": 717.07, "word": " started", "probability": 0.55810546875}, {"start": 717.07, "end": 717.39, "word": " from", "probability": 0.845703125}, {"start": 717.39, "end": 717.83, "word": " point", "probability": 0.8408203125}, {"start": 717.83, "end": 718.11, "word": " A", "probability": 0.81640625}], "temperature": 1.0}, {"id": 31, "seek": 74215, "start": 718.95, "end": 742.15, "text": "entered the anterior nodal point and came out of the posterior nodal point. So in the story we will talk about two points, although it is okay, I mean it stayed .. I mean it went through geographically or spatially through one point, but these two points must be talked about as two points adjacent to each other. So what did this ray come out of?", "tokens": [317, 4073, 264, 22272, 15224, 304, 935, 293, 1361, 484, 295, 264, 33529, 15224, 304, 935, 13, 407, 294, 264, 1657, 321, 486, 751, 466, 732, 2793, 11, 4878, 309, 307, 1392, 11, 286, 914, 309, 9181, 4386, 286, 914, 309, 1437, 807, 25435, 984, 420, 15000, 2270, 807, 472, 935, 11, 457, 613, 732, 2793, 1633, 312, 2825, 466, 382, 732, 2793, 24441, 281, 1184, 661, 13, 407, 437, 630, 341, 18592, 808, 484, 295, 30], "avg_logprob": -0.41586537888416875, "compression_ratio": 1.7525252525252526, "no_speech_prob": 2.1517276763916016e-05, "words": [{"start": 718.95, "end": 719.47, "word": "entered", "probability": 0.736572265625}, {"start": 719.47, "end": 719.89, "word": " the", "probability": 0.72998046875}, {"start": 719.89, "end": 720.43, "word": " anterior", "probability": 0.95947265625}, {"start": 720.43, "end": 720.95, "word": " nodal", "probability": 0.97998046875}, {"start": 720.95, "end": 721.33, "word": " point", "probability": 0.98193359375}, {"start": 721.33, "end": 721.89, "word": " and", "probability": 0.853515625}, {"start": 721.89, "end": 722.11, "word": " came", "probability": 0.1929931640625}, {"start": 722.11, "end": 722.27, "word": " out", "probability": 0.89306640625}, {"start": 722.27, "end": 722.51, "word": " of", "probability": 0.822265625}, {"start": 722.51, "end": 722.65, "word": " the", "probability": 0.8505859375}, {"start": 722.65, "end": 723.07, "word": " posterior", "probability": 0.8369140625}, {"start": 723.07, "end": 723.53, "word": " nodal", "probability": 0.961669921875}, {"start": 723.53, "end": 723.75, "word": " point.", "probability": 0.97705078125}, {"start": 723.79, "end": 723.93, "word": " So", "probability": 0.38330078125}, {"start": 723.93, "end": 724.05, "word": " in", "probability": 0.60693359375}, {"start": 724.05, "end": 724.21, "word": " the", "probability": 0.39892578125}, {"start": 724.21, "end": 724.47, "word": " story", "probability": 0.6220703125}, {"start": 724.47, "end": 724.67, "word": " we", "probability": 0.65234375}, {"start": 724.67, "end": 724.67, "word": " will", "probability": 0.4833984375}, {"start": 724.67, "end": 724.91, "word": " talk", "probability": 0.7900390625}, {"start": 724.91, "end": 725.09, "word": " about", "probability": 0.90966796875}, {"start": 725.09, "end": 725.65, "word": " two", "probability": 0.91162109375}, {"start": 725.65, "end": 725.65, "word": " points,", "probability": 0.7724609375}, {"start": 725.75, "end": 725.93, "word": " although", "probability": 0.64013671875}, {"start": 725.93, "end": 726.31, "word": " it", "probability": 0.69970703125}, {"start": 726.31, "end": 726.53, "word": " is", "probability": 0.458740234375}, {"start": 726.53, "end": 727.51, "word": " okay,", "probability": 0.1932373046875}, {"start": 727.75, "end": 727.85, "word": " I", "probability": 0.266357421875}, {"start": 727.85, "end": 728.07, "word": " mean", "probability": 0.95361328125}, {"start": 728.07, "end": 728.21, "word": " it", "probability": 0.591796875}, {"start": 728.21, "end": 728.43, "word": " stayed", "probability": 0.32958984375}, {"start": 728.43, "end": 728.77, "word": " ..", "probability": 0.53759765625}, {"start": 728.77, "end": 729.19, "word": " I", "probability": 0.7158203125}, {"start": 729.19, "end": 729.41, "word": " mean", "probability": 0.9677734375}, {"start": 729.41, "end": 729.99, "word": " it", "probability": 0.7041015625}, {"start": 729.99, "end": 730.23, "word": " went", "probability": 0.362548828125}, {"start": 730.23, "end": 730.49, "word": " through", "probability": 0.7099609375}, {"start": 730.49, "end": 732.05, "word": " geographically", "probability": 0.89111328125}, {"start": 732.05, "end": 732.41, "word": " or", "probability": 0.95068359375}, {"start": 732.41, "end": 733.27, "word": " spatially", "probability": 0.655517578125}, {"start": 733.27, "end": 733.59, "word": " through", "probability": 0.79150390625}, {"start": 733.59, "end": 733.75, "word": " one", "probability": 0.73291015625}, {"start": 733.75, "end": 734.07, "word": " point,", "probability": 0.94384765625}, {"start": 734.35, "end": 734.51, "word": " but", "probability": 0.92919921875}, {"start": 734.51, "end": 734.77, "word": " these", "probability": 0.78955078125}, {"start": 734.77, "end": 734.93, "word": " two", "probability": 0.89453125}, {"start": 734.93, "end": 735.49, "word": " points", "probability": 0.85205078125}, {"start": 735.49, "end": 735.73, "word": " must", "probability": 0.326904296875}, {"start": 735.73, "end": 735.89, "word": " be", "probability": 0.9052734375}, {"start": 735.89, "end": 736.21, "word": " talked", "probability": 0.5859375}, {"start": 736.21, "end": 736.47, "word": " about", "probability": 0.9072265625}, {"start": 736.47, "end": 736.77, "word": " as", "probability": 0.83349609375}, {"start": 736.77, "end": 737.39, "word": " two", "probability": 0.86767578125}, {"start": 737.39, "end": 737.47, "word": " points", "probability": 0.86572265625}, {"start": 737.47, "end": 738.23, "word": " adjacent", "probability": 0.1273193359375}, {"start": 738.23, "end": 738.63, "word": " to", "probability": 0.97412109375}, {"start": 738.63, "end": 739.11, "word": " each", "probability": 0.93701171875}, {"start": 739.11, "end": 739.11, "word": " other.", "probability": 0.896484375}, {"start": 739.77, "end": 740.17, "word": " So", "probability": 0.95263671875}, {"start": 740.17, "end": 740.41, "word": " what", "probability": 0.377197265625}, {"start": 740.41, "end": 740.41, "word": " did", "probability": 0.6748046875}, {"start": 740.41, "end": 740.57, "word": " this", "probability": 0.89111328125}, {"start": 740.57, "end": 740.83, "word": " ray", "probability": 0.314453125}, {"start": 740.83, "end": 741.85, "word": " come", "probability": 0.77392578125}, {"start": 741.85, "end": 741.95, "word": " out", "probability": 0.71728515625}, {"start": 741.95, "end": 742.15, "word": " of?", "probability": 0.9345703125}], "temperature": 1.0}, {"id": 32, "seek": 75936, "start": 743.12, "end": 759.36, "text": "و عبر عبر ال anterior nodal point و منها لل posterior nodal point اللي هم في نفس المكان الفراغي تمام؟ و دالوا مكملوا طريقه إلى اي شرطة ساعتها theta و theta تنين تساوي بعض بالتقابل بالتقابل", "tokens": [2407, 6225, 26890, 6225, 26890, 2423, 22272, 15224, 304, 935, 4032, 9154, 11296, 24976, 33529, 15224, 304, 935, 13672, 1829, 8032, 2304, 8978, 8717, 36178, 9673, 41361, 27188, 2288, 5718, 118, 1829, 46811, 10943, 22807, 4032, 11778, 6027, 14407, 3714, 24793, 1211, 14407, 23032, 16572, 4587, 3224, 30731, 1975, 1829, 13412, 2288, 9566, 3660, 8608, 995, 34268, 11296, 9725, 4032, 9725, 6055, 1863, 9957, 6055, 3794, 995, 45865, 45030, 11242, 20666, 2655, 4587, 16758, 1211, 20666, 2655, 4587, 16758, 1211], "avg_logprob": -0.17939814814814814, "compression_ratio": 1.6153846153846154, "no_speech_prob": 4.470348358154297e-06, "words": [{"start": 743.12, "end": 743.4, "word": "و", "probability": 0.10028076171875}, {"start": 743.4, "end": 743.82, "word": " عبر", "probability": 0.782958984375}, {"start": 743.82, "end": 744.14, "word": " عبر", "probability": 0.96630859375}, {"start": 744.14, "end": 744.26, "word": " ال", "probability": 0.98291015625}, {"start": 744.26, "end": 744.72, "word": " anterior", "probability": 0.8193359375}, {"start": 744.72, "end": 745.24, "word": " nodal", "probability": 0.978759765625}, {"start": 745.24, "end": 745.66, "word": " point", "probability": 0.9853515625}, {"start": 745.66, "end": 745.88, "word": " و", "probability": 0.9326171875}, {"start": 745.88, "end": 746.16, "word": " منها", "probability": 0.8212890625}, {"start": 746.16, "end": 746.32, "word": " لل", "probability": 0.5986328125}, {"start": 746.32, "end": 746.78, "word": " posterior", "probability": 0.7744140625}, {"start": 746.78, "end": 747.22, "word": " nodal", "probability": 0.958251953125}, {"start": 747.22, "end": 747.44, "word": " point", "probability": 0.97998046875}, {"start": 747.44, "end": 747.54, "word": " اللي", "probability": 0.934326171875}, {"start": 747.54, "end": 747.7, "word": " هم", "probability": 0.810302734375}, {"start": 747.7, "end": 747.86, "word": " في", "probability": 0.8447265625}, {"start": 747.86, "end": 748.12, "word": " نفس", "probability": 0.992919921875}, {"start": 748.12, "end": 748.74, "word": " المكان", "probability": 0.977783203125}, {"start": 748.74, "end": 749.5, "word": " الفراغي", "probability": 0.9173828125}, {"start": 749.5, "end": 750.24, "word": " تمام؟", "probability": 0.7440592447916666}, {"start": 750.24, "end": 750.36, "word": " و", "probability": 0.97412109375}, {"start": 750.36, "end": 750.66, "word": " دالوا", "probability": 0.5611979166666666}, {"start": 750.66, "end": 751.28, "word": " مكملوا", "probability": 0.874267578125}, {"start": 751.28, "end": 751.76, "word": " طريقه", "probability": 0.9508056640625}, {"start": 751.76, "end": 752.02, "word": " إلى", "probability": 0.83642578125}, {"start": 752.02, "end": 752.34, "word": " اي", "probability": 0.7227783203125}, {"start": 752.34, "end": 753.2, "word": " شرطة", "probability": 0.956787109375}, {"start": 753.2, "end": 754.0, "word": " ساعتها", "probability": 0.8458251953125}, {"start": 754.0, "end": 754.56, "word": " theta", "probability": 0.370849609375}, {"start": 754.56, "end": 755.38, "word": " و", "probability": 0.9462890625}, {"start": 755.38, "end": 755.72, "word": " theta", "probability": 0.8740234375}, {"start": 755.72, "end": 756.2, "word": " تنين", "probability": 0.78076171875}, {"start": 756.2, "end": 757.04, "word": " تساوي", "probability": 0.95751953125}, {"start": 757.04, "end": 757.42, "word": " بعض", "probability": 0.98681640625}, {"start": 757.42, "end": 758.36, "word": " بالتقابل", "probability": 0.9935546875}, {"start": 758.36, "end": 759.36, "word": " بالتقابل", "probability": 0.91357421875}], "temperature": 1.0}, {"id": 33, "seek": 78793, "start": 759.41, "end": 787.93, "text": "And this distinguishes the anterior and posterior nodal points, whether the anterior is aligned or not aligned, that is, in this drawing, the anterior nodal point and the posterior nodal point are not aligned with each other, and here the anterior nodal point and the posterior nodal point are not aligned, that is, aligned in the first drawing, not aligned, here aligned with each other, in both cases, here this angle equals this angle,", "tokens": [5289, 341, 11365, 16423, 264, 22272, 293, 33529, 15224, 304, 2793, 11, 1968, 264, 22272, 307, 17962, 420, 406, 17962, 11, 300, 307, 11, 294, 341, 6316, 11, 264, 22272, 15224, 304, 935, 293, 264, 33529, 15224, 304, 935, 366, 406, 17962, 365, 1184, 661, 11, 293, 510, 264, 22272, 15224, 304, 935, 293, 264, 33529, 15224, 304, 935, 366, 406, 17962, 11, 300, 307, 11, 17962, 294, 264, 700, 6316, 11, 406, 17962, 11, 510, 17962, 365, 1184, 661, 11, 294, 1293, 3331, 11, 510, 341, 5802, 6915, 341, 5802, 11], "avg_logprob": -0.3545026791993008, "compression_ratio": 2.63855421686747, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 759.41, "end": 759.61, "word": "And", "probability": 0.33251953125}, {"start": 759.61, "end": 759.91, "word": " this", "probability": 0.79345703125}, {"start": 759.91, "end": 760.47, "word": " distinguishes", "probability": 0.5924072265625}, {"start": 760.47, "end": 760.65, "word": " the", "probability": 0.27490234375}, {"start": 760.65, "end": 761.13, "word": " anterior", "probability": 0.9541015625}, {"start": 761.13, "end": 761.43, "word": " and", "probability": 0.84326171875}, {"start": 761.43, "end": 762.23, "word": " posterior", "probability": 0.73046875}, {"start": 762.23, "end": 762.71, "word": " nodal", "probability": 0.9853515625}, {"start": 762.71, "end": 762.99, "word": " points,", "probability": 0.7138671875}, {"start": 763.11, "end": 763.27, "word": " whether", "probability": 0.74365234375}, {"start": 763.27, "end": 763.57, "word": " the", "probability": 0.70947265625}, {"start": 763.57, "end": 764.13, "word": " anterior", "probability": 0.9287109375}, {"start": 764.13, "end": 764.37, "word": " is", "probability": 0.254150390625}, {"start": 764.37, "end": 764.65, "word": " aligned", "probability": 0.1751708984375}, {"start": 764.65, "end": 765.05, "word": " or", "probability": 0.93896484375}, {"start": 765.05, "end": 765.23, "word": " not", "probability": 0.87060546875}, {"start": 765.23, "end": 765.75, "word": " aligned,", "probability": 0.8505859375}, {"start": 765.83, "end": 765.99, "word": " that", "probability": 0.2457275390625}, {"start": 765.99, "end": 766.01, "word": " is,", "probability": 0.88818359375}, {"start": 766.09, "end": 766.17, "word": " in", "probability": 0.88525390625}, {"start": 766.17, "end": 766.47, "word": " this", "probability": 0.931640625}, {"start": 766.47, "end": 766.83, "word": " drawing,", "probability": 0.7431640625}, {"start": 767.45, "end": 767.53, "word": " the", "probability": 0.83642578125}, {"start": 767.53, "end": 768.03, "word": " anterior", "probability": 0.9443359375}, {"start": 768.03, "end": 768.57, "word": " nodal", "probability": 0.80810546875}, {"start": 768.57, "end": 768.87, "word": " point", "probability": 0.798828125}, {"start": 768.87, "end": 769.07, "word": " and", "probability": 0.93603515625}, {"start": 769.07, "end": 769.15, "word": " the", "probability": 0.66748046875}, {"start": 769.15, "end": 769.47, "word": " posterior", "probability": 0.8818359375}, {"start": 769.47, "end": 769.95, "word": " nodal", "probability": 0.974853515625}, {"start": 769.95, "end": 770.25, "word": " point", "probability": 0.94384765625}, {"start": 770.25, "end": 770.43, "word": " are", "probability": 0.8505859375}, {"start": 770.43, "end": 770.51, "word": " not", "probability": 0.91259765625}, {"start": 770.51, "end": 770.99, "word": " aligned", "probability": 0.7890625}, {"start": 770.99, "end": 771.49, "word": " with", "probability": 0.54833984375}, {"start": 771.49, "end": 772.33, "word": " each", "probability": 0.91796875}, {"start": 772.33, "end": 772.33, "word": " other,", "probability": 0.8984375}, {"start": 772.91, "end": 773.01, "word": " and", "probability": 0.81689453125}, {"start": 773.01, "end": 773.29, "word": " here", "probability": 0.83447265625}, {"start": 773.29, "end": 774.19, "word": " the", "probability": 0.65283203125}, {"start": 774.19, "end": 774.71, "word": " anterior", "probability": 0.95166015625}, {"start": 774.71, "end": 775.29, "word": " nodal", "probability": 0.981201171875}, {"start": 775.29, "end": 775.55, "word": " point", "probability": 0.9677734375}, {"start": 775.55, "end": 775.69, "word": " and", "probability": 0.9306640625}, {"start": 775.69, "end": 775.79, "word": " the", "probability": 0.767578125}, {"start": 775.79, "end": 776.17, "word": " posterior", "probability": 0.896484375}, {"start": 776.17, "end": 776.71, "word": " nodal", "probability": 0.98046875}, {"start": 776.71, "end": 777.07, "word": " point", "probability": 0.9716796875}, {"start": 777.07, "end": 777.75, "word": " are", "probability": 0.76220703125}, {"start": 777.75, "end": 777.75, "word": " not", "probability": 0.60009765625}, {"start": 777.75, "end": 778.83, "word": " aligned,", "probability": 0.5849609375}, {"start": 779.41, "end": 779.67, "word": " that", "probability": 0.342041015625}, {"start": 779.67, "end": 779.69, "word": " is,", "probability": 0.9130859375}, {"start": 779.77, "end": 780.17, "word": " aligned", "probability": 0.4814453125}, {"start": 780.17, "end": 780.57, "word": " in", "probability": 0.76171875}, {"start": 780.57, "end": 781.01, "word": " the", "probability": 0.91845703125}, {"start": 781.01, "end": 781.13, "word": " first", "probability": 0.865234375}, {"start": 781.13, "end": 781.13, "word": " drawing,", "probability": 0.912109375}, {"start": 781.33, "end": 781.39, "word": " not", "probability": 0.317626953125}, {"start": 781.39, "end": 782.01, "word": " aligned,", "probability": 0.9560546875}, {"start": 782.11, "end": 782.27, "word": " here", "probability": 0.693359375}, {"start": 782.27, "end": 782.99, "word": " aligned", "probability": 0.79345703125}, {"start": 782.99, "end": 783.31, "word": " with", "probability": 0.8046875}, {"start": 783.31, "end": 783.81, "word": " each", "probability": 0.93896484375}, {"start": 783.81, "end": 783.83, "word": " other,", "probability": 0.90283203125}, {"start": 784.77, "end": 784.93, "word": " in", "probability": 0.79833984375}, {"start": 784.93, "end": 785.27, "word": " both", "probability": 0.5234375}, {"start": 785.27, "end": 785.69, "word": " cases,", "probability": 0.91943359375}, {"start": 785.91, "end": 786.07, "word": " here", "probability": 0.472412109375}, {"start": 786.07, "end": 786.27, "word": " this", "probability": 0.6845703125}, {"start": 786.27, "end": 786.59, "word": " angle", "probability": 0.8076171875}, {"start": 786.59, "end": 787.29, "word": " equals", "probability": 0.57861328125}, {"start": 787.29, "end": 787.59, "word": " this", "probability": 0.7548828125}, {"start": 787.59, "end": 787.93, "word": " angle,", "probability": 0.81787109375}], "temperature": 1.0}, {"id": 34, "seek": 81482, "start": 788.7, "end": 814.82, "text": "entrance of the beam to the optical system, the angle it makes with the optical axis, is equal to the angle of exit, also with the optical axis. So θ is equal to θ2. And even if they don't match, θ is equal to θ2. θ is the angle between the beam that fell on the lens and the optical axis, and θ2 is the beam that came out of the lens with the optical axis.", "tokens": [317, 32493, 295, 264, 14269, 281, 264, 20674, 1185, 11, 264, 5802, 309, 1669, 365, 264, 20674, 10298, 11, 307, 2681, 281, 264, 5802, 295, 11043, 11, 611, 365, 264, 20674, 10298, 13, 407, 12622, 307, 2681, 281, 12622, 17, 13, 400, 754, 498, 436, 500, 380, 2995, 11, 12622, 307, 2681, 281, 12622, 17, 13, 12622, 307, 264, 5802, 1296, 264, 14269, 300, 5696, 322, 264, 6765, 293, 264, 20674, 10298, 11, 293, 12622, 17, 307, 264, 14269, 300, 1361, 484, 295, 264, 6765, 365, 264, 20674, 10298, 13], "avg_logprob": -0.4007554807505765, "compression_ratio": 2.0625, "no_speech_prob": 2.7954578399658203e-05, "words": [{"start": 788.7, "end": 789.24, "word": "entrance", "probability": 0.24853515625}, {"start": 789.24, "end": 789.42, "word": " of", "probability": 0.8466796875}, {"start": 789.42, "end": 789.42, "word": " the", "probability": 0.485595703125}, {"start": 789.42, "end": 789.66, "word": " beam", "probability": 0.1912841796875}, {"start": 789.66, "end": 790.08, "word": " to", "probability": 0.41650390625}, {"start": 790.08, "end": 790.18, "word": " the", "probability": 0.77099609375}, {"start": 790.18, "end": 790.56, "word": " optical", "probability": 0.9609375}, {"start": 790.56, "end": 791.2, "word": " system,", "probability": 0.88330078125}, {"start": 791.8, "end": 791.9, "word": " the", "probability": 0.48291015625}, {"start": 791.9, "end": 792.12, "word": " angle", "probability": 0.75341796875}, {"start": 792.12, "end": 792.28, "word": " it", "probability": 0.388427734375}, {"start": 792.28, "end": 792.6, "word": " makes", "probability": 0.365234375}, {"start": 792.6, "end": 792.88, "word": " with", "probability": 0.70361328125}, {"start": 792.88, "end": 793.0, "word": " the", "probability": 0.88037109375}, {"start": 793.0, "end": 793.38, "word": " optical", "probability": 0.92578125}, {"start": 793.38, "end": 793.96, "word": " axis,", "probability": 0.95458984375}, {"start": 794.36, "end": 794.46, "word": " is", "probability": 0.498291015625}, {"start": 794.46, "end": 794.84, "word": " equal", "probability": 0.70654296875}, {"start": 794.84, "end": 794.96, "word": " to", "probability": 0.9619140625}, {"start": 794.96, "end": 795.02, "word": " the", "probability": 0.845703125}, {"start": 795.02, "end": 795.2, "word": " angle", "probability": 0.439697265625}, {"start": 795.2, "end": 795.32, "word": " of", "probability": 0.70654296875}, {"start": 795.32, "end": 795.72, "word": " exit,", "probability": 0.5302734375}, {"start": 796.24, "end": 796.56, "word": " also", "probability": 0.50830078125}, {"start": 796.56, "end": 796.76, "word": " with", "probability": 0.1728515625}, {"start": 796.76, "end": 797.48, "word": " the", "probability": 0.81689453125}, {"start": 797.48, "end": 797.82, "word": " optical", "probability": 0.9443359375}, {"start": 797.82, "end": 798.34, "word": " axis.", "probability": 0.95703125}, {"start": 798.52, "end": 798.74, "word": " So", "probability": 0.52294921875}, {"start": 798.74, "end": 799.18, "word": " θ", "probability": 0.61669921875}, {"start": 799.18, "end": 799.36, "word": " is", "probability": 0.0809326171875}, {"start": 799.36, "end": 799.62, "word": " equal", "probability": 0.857421875}, {"start": 799.62, "end": 799.66, "word": " to", "probability": 0.97705078125}, {"start": 799.66, "end": 800.2, "word": " θ2.", "probability": 0.860107421875}, {"start": 800.78, "end": 800.92, "word": " And", "probability": 0.568359375}, {"start": 800.92, "end": 801.32, "word": " even", "probability": 0.82421875}, {"start": 801.32, "end": 801.56, "word": " if", "probability": 0.90185546875}, {"start": 801.56, "end": 801.66, "word": " they", "probability": 0.7783203125}, {"start": 801.66, "end": 801.72, "word": " don't", "probability": 0.6552734375}, {"start": 801.72, "end": 802.1, "word": " match,", "probability": 0.65576171875}, {"start": 802.5, "end": 803.26, "word": " θ", "probability": 0.67919921875}, {"start": 803.26, "end": 804.12, "word": " is", "probability": 0.78857421875}, {"start": 804.12, "end": 804.42, "word": " equal", "probability": 0.6337890625}, {"start": 804.42, "end": 804.52, "word": " to", "probability": 0.97802734375}, {"start": 804.52, "end": 805.04, "word": " θ2.", "probability": 0.981201171875}, {"start": 805.14, "end": 805.4, "word": " θ", "probability": 0.88720703125}, {"start": 805.4, "end": 805.62, "word": " is", "probability": 0.88330078125}, {"start": 805.62, "end": 805.8, "word": " the", "probability": 0.90869140625}, {"start": 805.8, "end": 805.96, "word": " angle", "probability": 0.90234375}, {"start": 805.96, "end": 806.24, "word": " between", "probability": 0.85546875}, {"start": 806.24, "end": 806.34, "word": " the", "probability": 0.89501953125}, {"start": 806.34, "end": 806.7, "word": " beam", "probability": 0.9228515625}, {"start": 806.7, "end": 806.9, "word": " that", "probability": 0.486083984375}, {"start": 806.9, "end": 807.32, "word": " fell", "probability": 0.431396484375}, {"start": 807.32, "end": 807.62, "word": " on", "probability": 0.85546875}, {"start": 807.62, "end": 807.76, "word": " the", "probability": 0.90478515625}, {"start": 807.76, "end": 808.08, "word": " lens", "probability": 0.83544921875}, {"start": 808.08, "end": 808.42, "word": " and", "probability": 0.76171875}, {"start": 808.42, "end": 808.5, "word": " the", "probability": 0.87451171875}, {"start": 808.5, "end": 808.84, "word": " optical", "probability": 0.97314453125}, {"start": 808.84, "end": 809.38, "word": " axis,", "probability": 0.953125}, {"start": 809.84, "end": 810.34, "word": " and", "probability": 0.8740234375}, {"start": 810.34, "end": 811.6, "word": " θ2", "probability": 0.970703125}, {"start": 811.6, "end": 811.76, "word": " is", "probability": 0.50537109375}, {"start": 811.76, "end": 811.82, "word": " the", "probability": 0.8916015625}, {"start": 811.82, "end": 812.06, "word": " beam", "probability": 0.89501953125}, {"start": 812.06, "end": 812.22, "word": " that", "probability": 0.60888671875}, {"start": 812.22, "end": 812.38, "word": " came", "probability": 0.330322265625}, {"start": 812.38, "end": 812.62, "word": " out", "probability": 0.8291015625}, {"start": 812.62, "end": 812.82, "word": " of", "probability": 0.888671875}, {"start": 812.82, "end": 812.94, "word": " the", "probability": 0.91650390625}, {"start": 812.94, "end": 813.3, "word": " lens", "probability": 0.939453125}, {"start": 813.3, "end": 813.88, "word": " with", "probability": 0.72216796875}, {"start": 813.88, "end": 814.02, "word": " the", "probability": 0.91015625}, {"start": 814.02, "end": 814.34, "word": " optical", "probability": 0.96826171875}, {"start": 814.34, "end": 814.82, "word": " axis.", "probability": 0.95556640625}], "temperature": 1.0}, {"id": 35, "seek": 83098, "start": 815.08, "end": 830.98, "text": "Okay, until now, the speech was excellent, but we did not understand what can be gained from this case What can be gained from this case? To say what can be gained from the case of equal entry and exit angle", "tokens": [8297, 11, 1826, 586, 11, 264, 6218, 390, 7103, 11, 457, 321, 630, 406, 1223, 437, 393, 312, 12634, 490, 341, 1389, 708, 393, 312, 12634, 490, 341, 1389, 30, 1407, 584, 437, 393, 312, 12634, 490, 264, 1389, 295, 2681, 8729, 293, 11043, 5802], "avg_logprob": -0.4364809750214867, "compression_ratio": 1.6428571428571428, "no_speech_prob": 2.0265579223632812e-06, "words": [{"start": 815.08, "end": 815.4, "word": "Okay,", "probability": 0.8271484375}, {"start": 815.62, "end": 815.84, "word": " until", "probability": 0.25830078125}, {"start": 815.84, "end": 816.42, "word": " now,", "probability": 0.94140625}, {"start": 817.12, "end": 817.44, "word": " the", "probability": 0.416259765625}, {"start": 817.44, "end": 817.72, "word": " speech", "probability": 0.6826171875}, {"start": 817.72, "end": 818.06, "word": " was", "probability": 0.642578125}, {"start": 818.06, "end": 818.46, "word": " excellent,", "probability": 0.7724609375}, {"start": 818.6, "end": 818.82, "word": " but", "probability": 0.91796875}, {"start": 818.82, "end": 819.24, "word": " we", "probability": 0.86572265625}, {"start": 819.24, "end": 819.32, "word": " did", "probability": 0.313232421875}, {"start": 819.32, "end": 819.32, "word": " not", "probability": 0.9384765625}, {"start": 819.32, "end": 819.7, "word": " understand", "probability": 0.72314453125}, {"start": 819.7, "end": 820.18, "word": " what", "probability": 0.7734375}, {"start": 820.18, "end": 820.64, "word": " can", "probability": 0.33154296875}, {"start": 820.64, "end": 820.76, "word": " be", "probability": 0.77685546875}, {"start": 820.76, "end": 821.34, "word": " gained", "probability": 0.427978515625}, {"start": 821.34, "end": 821.84, "word": " from", "probability": 0.861328125}, {"start": 821.84, "end": 822.38, "word": " this", "probability": 0.916015625}, {"start": 822.38, "end": 823.28, "word": " case", "probability": 0.5712890625}, {"start": 823.28, "end": 823.86, "word": " What", "probability": 0.368408203125}, {"start": 823.86, "end": 824.14, "word": " can", "probability": 0.91015625}, {"start": 824.14, "end": 824.32, "word": " be", "probability": 0.884765625}, {"start": 824.32, "end": 824.64, "word": " gained", "probability": 0.7802734375}, {"start": 824.64, "end": 824.76, "word": " from", "probability": 0.88671875}, {"start": 824.76, "end": 825.0, "word": " this", "probability": 0.939453125}, {"start": 825.0, "end": 825.48, "word": " case?", "probability": 0.8935546875}, {"start": 825.8, "end": 826.1, "word": " To", "probability": 0.54931640625}, {"start": 826.1, "end": 826.46, "word": " say", "probability": 0.7919921875}, {"start": 826.46, "end": 826.72, "word": " what", "probability": 0.79541015625}, {"start": 826.72, "end": 827.0, "word": " can", "probability": 0.92724609375}, {"start": 827.0, "end": 827.18, "word": " be", "probability": 0.94091796875}, {"start": 827.18, "end": 827.6, "word": " gained", "probability": 0.8125}, {"start": 827.6, "end": 827.8, "word": " from", "probability": 0.8798828125}, {"start": 827.8, "end": 827.98, "word": " the", "probability": 0.497314453125}, {"start": 827.98, "end": 828.14, "word": " case", "probability": 0.3134765625}, {"start": 828.14, "end": 828.32, "word": " of", "probability": 0.87109375}, {"start": 828.32, "end": 828.74, "word": " equal", "probability": 0.4033203125}, {"start": 828.74, "end": 829.76, "word": " entry", "probability": 0.276123046875}, {"start": 829.76, "end": 830.16, "word": " and", "probability": 0.6806640625}, {"start": 830.16, "end": 830.98, "word": " exit", "probability": 0.81494140625}, {"start": 830.98, "end": 830.98, "word": " angle", "probability": 0.470947265625}], "temperature": 1.0}, {"id": 36, "seek": 86026, "start": 831.56, "end": 860.26, "text": "To the rays, only the rays, only the rays that enter the anterior nodal point and exit the posterior nodal point make an even angle The rest of the rays that do not enter the anterior nodal point will not .. that is, the exit angle will differ from the entry angle Okay, what does this mean when we talk about it? Also point B, point B sends millions of rays in all directions It will be the share of rays one by one only", "tokens": [13342, 264, 24417, 11, 787, 264, 24417, 11, 787, 264, 24417, 300, 3242, 264, 22272, 15224, 304, 935, 293, 11043, 264, 33529, 15224, 304, 935, 652, 364, 754, 5802, 440, 1472, 295, 264, 24417, 300, 360, 406, 3242, 264, 22272, 15224, 304, 935, 486, 406, 4386, 300, 307, 11, 264, 11043, 5802, 486, 743, 490, 264, 8729, 5802, 1033, 11, 437, 775, 341, 914, 562, 321, 751, 466, 309, 30, 2743, 935, 363, 11, 935, 363, 14790, 6803, 295, 24417, 294, 439, 11095, 467, 486, 312, 264, 2073, 295, 24417, 472, 538, 472, 787], "avg_logprob": -0.4375000031370866, "compression_ratio": 1.9858490566037736, "no_speech_prob": 2.5272369384765625e-05, "words": [{"start": 831.56, "end": 831.86, "word": "To", "probability": 0.054046630859375}, {"start": 831.86, "end": 831.96, "word": " the", "probability": 0.453857421875}, {"start": 831.96, "end": 832.18, "word": " rays,", "probability": 0.4912109375}, {"start": 832.58, "end": 832.92, "word": " only", "probability": 0.8193359375}, {"start": 832.92, "end": 833.14, "word": " the", "probability": 0.5732421875}, {"start": 833.14, "end": 833.52, "word": " rays,", "probability": 0.91162109375}, {"start": 833.7, "end": 834.02, "word": " only", "probability": 0.88427734375}, {"start": 834.02, "end": 834.22, "word": " the", "probability": 0.86376953125}, {"start": 834.22, "end": 834.58, "word": " rays", "probability": 0.94091796875}, {"start": 834.58, "end": 834.92, "word": " that", "probability": 0.66748046875}, {"start": 834.92, "end": 835.28, "word": " enter", "probability": 0.689453125}, {"start": 835.28, "end": 835.6, "word": " the", "probability": 0.5849609375}, {"start": 835.6, "end": 836.14, "word": " anterior", "probability": 0.9619140625}, {"start": 836.14, "end": 836.58, "word": " nodal", "probability": 0.813720703125}, {"start": 836.58, "end": 836.96, "word": " point", "probability": 0.96337890625}, {"start": 836.96, "end": 837.46, "word": " and", "probability": 0.6806640625}, {"start": 837.46, "end": 837.88, "word": " exit", "probability": 0.449951171875}, {"start": 837.88, "end": 838.2, "word": " the", "probability": 0.666015625}, {"start": 838.2, "end": 838.62, "word": " posterior", "probability": 0.82373046875}, {"start": 838.62, "end": 839.04, "word": " nodal", "probability": 0.9375}, {"start": 839.04, "end": 839.36, "word": " point", "probability": 0.9697265625}, {"start": 839.36, "end": 839.74, "word": " make", "probability": 0.287353515625}, {"start": 839.74, "end": 839.96, "word": " an", "probability": 0.7119140625}, {"start": 839.96, "end": 840.74, "word": " even", "probability": 0.403564453125}, {"start": 840.74, "end": 840.74, "word": " angle", "probability": 0.84521484375}, {"start": 840.74, "end": 841.36, "word": " The", "probability": 0.267578125}, {"start": 841.36, "end": 841.54, "word": " rest", "probability": 0.66259765625}, {"start": 841.54, "end": 841.74, "word": " of", "probability": 0.96484375}, {"start": 841.74, "end": 841.8, "word": " the", "probability": 0.857421875}, {"start": 841.8, "end": 842.22, "word": " rays", "probability": 0.82568359375}, {"start": 842.22, "end": 842.64, "word": " that", "probability": 0.859375}, {"start": 842.64, "end": 842.78, "word": " do", "probability": 0.677734375}, {"start": 842.78, "end": 843.1, "word": " not", "probability": 0.939453125}, {"start": 843.1, "end": 843.1, "word": " enter", "probability": 0.8798828125}, {"start": 843.1, "end": 843.32, "word": " the", "probability": 0.8701171875}, {"start": 843.32, "end": 843.72, "word": " anterior", "probability": 0.95263671875}, {"start": 843.72, "end": 844.18, "word": " nodal", "probability": 0.947509765625}, {"start": 844.18, "end": 844.6, "word": " point", "probability": 0.970703125}, {"start": 844.6, "end": 845.1, "word": " will", "probability": 0.431884765625}, {"start": 845.1, "end": 845.38, "word": " not", "probability": 0.76123046875}, {"start": 845.38, "end": 845.68, "word": " ..", "probability": 0.39208984375}, {"start": 845.68, "end": 845.94, "word": " that", "probability": 0.09869384765625}, {"start": 845.94, "end": 846.0, "word": " is,", "probability": 0.89306640625}, {"start": 846.08, "end": 846.3, "word": " the", "probability": 0.39453125}, {"start": 846.3, "end": 846.3, "word": " exit", "probability": 0.45263671875}, {"start": 846.3, "end": 846.58, "word": " angle", "probability": 0.810546875}, {"start": 846.58, "end": 846.82, "word": " will", "probability": 0.66064453125}, {"start": 846.82, "end": 847.2, "word": " differ", "probability": 0.480712890625}, {"start": 847.2, "end": 847.56, "word": " from", "probability": 0.88671875}, {"start": 847.56, "end": 847.6, "word": " the", "probability": 0.900390625}, {"start": 847.6, "end": 847.62, "word": " entry", "probability": 0.6396484375}, {"start": 847.62, "end": 848.32, "word": " angle", "probability": 0.88037109375}, {"start": 848.32, "end": 848.94, "word": " Okay,", "probability": 0.347412109375}, {"start": 849.04, "end": 849.28, "word": " what", "probability": 0.4296875}, {"start": 849.28, "end": 849.28, "word": " does", "probability": 0.26708984375}, {"start": 849.28, "end": 849.28, "word": " this", "probability": 0.7763671875}, {"start": 849.28, "end": 849.66, "word": " mean", "probability": 0.76025390625}, {"start": 849.66, "end": 849.82, "word": " when", "probability": 0.5361328125}, {"start": 849.82, "end": 850.02, "word": " we", "probability": 0.9365234375}, {"start": 850.02, "end": 850.22, "word": " talk", "probability": 0.68017578125}, {"start": 850.22, "end": 850.44, "word": " about", "probability": 0.90576171875}, {"start": 850.44, "end": 850.74, "word": " it?", "probability": 0.70166015625}, {"start": 851.16, "end": 851.52, "word": " Also", "probability": 0.76220703125}, {"start": 851.52, "end": 852.42, "word": " point", "probability": 0.6220703125}, {"start": 852.42, "end": 852.78, "word": " B,", "probability": 0.79443359375}, {"start": 853.06, "end": 853.42, "word": " point", "probability": 0.91064453125}, {"start": 853.42, "end": 853.74, "word": " B", "probability": 0.9873046875}, {"start": 853.74, "end": 854.5, "word": " sends", "probability": 0.435791015625}, {"start": 854.5, "end": 855.12, "word": " millions", "probability": 0.92822265625}, {"start": 855.12, "end": 855.3, "word": " of", "probability": 0.96826171875}, {"start": 855.3, "end": 855.64, "word": " rays", "probability": 0.9052734375}, {"start": 855.64, "end": 855.88, "word": " in", "probability": 0.90185546875}, {"start": 855.88, "end": 856.16, "word": " all", "probability": 0.95166015625}, {"start": 856.16, "end": 856.68, "word": " directions", "probability": 0.8173828125}, {"start": 856.68, "end": 857.08, "word": " It", "probability": 0.2259521484375}, {"start": 857.08, "end": 857.24, "word": " will", "probability": 0.73828125}, {"start": 857.24, "end": 857.46, "word": " be", "probability": 0.86962890625}, {"start": 857.46, "end": 857.6, "word": " the", "probability": 0.288818359375}, {"start": 857.6, "end": 857.8, "word": " share", "probability": 0.54736328125}, {"start": 857.8, "end": 858.0, "word": " of", "probability": 0.96240234375}, {"start": 858.0, "end": 858.48, "word": " rays", "probability": 0.454345703125}, {"start": 858.48, "end": 859.24, "word": " one", "probability": 0.63720703125}, {"start": 859.24, "end": 859.58, "word": " by", "probability": 0.479736328125}, {"start": 859.58, "end": 859.86, "word": " one", "probability": 0.92626953125}, {"start": 859.86, "end": 860.26, "word": " only", "probability": 0.89501953125}], "temperature": 1.0}, {"id": 37, "seek": 88615, "start": 860.51, "end": 886.15, "text": "to enter the anterior nodal point, then it will make a certain angle, let's call it the angle of the arc, for example, an arc will come out, and two arcs will be equal, the point, for example, G, present, for example, in the object, the point G, will send its rays in all directions, and one of them will enter the anterior nodal point", "tokens": [1353, 3242, 264, 22272, 15224, 304, 935, 11, 550, 309, 486, 652, 257, 1629, 5802, 11, 718, 311, 818, 309, 264, 5802, 295, 264, 10346, 11, 337, 1365, 11, 364, 10346, 486, 808, 484, 11, 293, 732, 10346, 82, 486, 312, 2681, 11, 264, 935, 11, 337, 1365, 11, 460, 11, 1974, 11, 337, 1365, 11, 294, 264, 2657, 11, 264, 935, 460, 11, 486, 2845, 1080, 24417, 294, 439, 11095, 11, 293, 472, 295, 552, 486, 3242, 264, 22272, 15224, 304, 935], "avg_logprob": -0.4694940600366819, "compression_ratio": 1.9364161849710984, "no_speech_prob": 0.00016891956329345703, "words": [{"start": 860.51, "end": 860.87, "word": "to", "probability": 0.265869140625}, {"start": 860.87, "end": 861.17, "word": " enter", "probability": 0.82666015625}, {"start": 861.17, "end": 861.37, "word": " the", "probability": 0.6767578125}, {"start": 861.37, "end": 861.93, "word": " anterior", "probability": 0.94140625}, {"start": 861.93, "end": 862.43, "word": " nodal", "probability": 0.975830078125}, {"start": 862.43, "end": 862.77, "word": " point,", "probability": 0.97998046875}, {"start": 862.95, "end": 863.23, "word": " then", "probability": 0.213134765625}, {"start": 863.23, "end": 863.63, "word": " it", "probability": 0.7705078125}, {"start": 863.63, "end": 863.63, "word": " will", "probability": 0.69140625}, {"start": 863.63, "end": 863.89, "word": " make", "probability": 0.5234375}, {"start": 863.89, "end": 864.09, "word": " a", "probability": 0.8974609375}, {"start": 864.09, "end": 864.83, "word": " certain", "probability": 0.69287109375}, {"start": 864.83, "end": 864.83, "word": " angle,", "probability": 0.8037109375}, {"start": 865.33, "end": 865.47, "word": " let's", "probability": 0.6851806640625}, {"start": 865.47, "end": 865.73, "word": " call", "probability": 0.75830078125}, {"start": 865.73, "end": 866.19, "word": " it", "probability": 0.92822265625}, {"start": 866.19, "end": 866.19, "word": " the", "probability": 0.317626953125}, {"start": 866.19, "end": 866.19, "word": " angle", "probability": 0.36279296875}, {"start": 866.19, "end": 866.41, "word": " of", "probability": 0.95458984375}, {"start": 866.41, "end": 866.43, "word": " the", "probability": 0.346435546875}, {"start": 866.43, "end": 866.63, "word": " arc,", "probability": 0.0888671875}, {"start": 866.75, "end": 866.87, "word": " for", "probability": 0.9052734375}, {"start": 866.87, "end": 867.09, "word": " example,", "probability": 0.92529296875}, {"start": 867.65, "end": 867.73, "word": " an", "probability": 0.53662109375}, {"start": 867.73, "end": 867.73, "word": " arc", "probability": 0.984375}, {"start": 867.73, "end": 867.83, "word": " will", "probability": 0.81103515625}, {"start": 867.83, "end": 868.19, "word": " come", "probability": 0.267578125}, {"start": 868.19, "end": 868.97, "word": " out,", "probability": 0.85595703125}, {"start": 869.53, "end": 869.71, "word": " and", "probability": 0.86767578125}, {"start": 869.71, "end": 870.29, "word": " two", "probability": 0.4951171875}, {"start": 870.29, "end": 870.49, "word": " arcs", "probability": 0.8017578125}, {"start": 870.49, "end": 870.97, "word": " will", "probability": 0.79248046875}, {"start": 870.97, "end": 871.31, "word": " be", "probability": 0.85546875}, {"start": 871.31, "end": 871.87, "word": " equal,", "probability": 0.32421875}, {"start": 872.25, "end": 872.59, "word": " the", "probability": 0.6357421875}, {"start": 872.59, "end": 872.87, "word": " point,", "probability": 0.82958984375}, {"start": 873.31, "end": 873.49, "word": " for", "probability": 0.92919921875}, {"start": 873.49, "end": 873.79, "word": " example,", "probability": 0.95361328125}, {"start": 874.09, "end": 874.23, "word": " G,", "probability": 0.246826171875}, {"start": 874.55, "end": 876.37, "word": " present,", "probability": 0.552734375}, {"start": 876.47, "end": 876.67, "word": " for", "probability": 0.9423828125}, {"start": 876.67, "end": 876.87, "word": " example,", "probability": 0.96533203125}, {"start": 876.97, "end": 877.11, "word": " in", "probability": 0.9306640625}, {"start": 877.11, "end": 877.83, "word": " the", "probability": 0.9033203125}, {"start": 877.83, "end": 878.29, "word": " object,", "probability": 0.97412109375}, {"start": 878.43, "end": 878.57, "word": " the", "probability": 0.74658203125}, {"start": 878.57, "end": 878.75, "word": " point", "probability": 0.94189453125}, {"start": 878.75, "end": 879.07, "word": " G,", "probability": 0.91064453125}, {"start": 879.39, "end": 879.63, "word": " will", "probability": 0.6611328125}, {"start": 879.63, "end": 879.93, "word": " send", "probability": 0.716796875}, {"start": 879.93, "end": 880.11, "word": " its", "probability": 0.37890625}, {"start": 880.11, "end": 880.43, "word": " rays", "probability": 0.51611328125}, {"start": 880.43, "end": 880.87, "word": " in", "probability": 0.8828125}, {"start": 880.87, "end": 881.23, "word": " all", "probability": 0.947265625}, {"start": 881.23, "end": 881.85, "word": " directions,", "probability": 0.84033203125}, {"start": 882.47, "end": 882.61, "word": " and", "probability": 0.9189453125}, {"start": 882.61, "end": 882.79, "word": " one", "probability": 0.2354736328125}, {"start": 882.79, "end": 883.77, "word": " of", "probability": 0.82861328125}, {"start": 883.77, "end": 884.01, "word": " them", "probability": 0.71826171875}, {"start": 884.01, "end": 884.21, "word": " will", "probability": 0.64599609375}, {"start": 884.21, "end": 884.51, "word": " enter", "probability": 0.66259765625}, {"start": 884.51, "end": 884.81, "word": " the", "probability": 0.8740234375}, {"start": 884.81, "end": 885.29, "word": " anterior", "probability": 0.94921875}, {"start": 885.29, "end": 885.85, "word": " nodal", "probability": 0.966064453125}, {"start": 885.85, "end": 886.15, "word": " point", "probability": 0.9755859375}], "temperature": 1.0}, {"id": 38, "seek": 90874, "start": 887.94, "end": 908.74, "text": "ملخص الحكاية إنه كل شعاعة بغض النظر قادم من أي نقطة من الجسم كل شعاعة بغض النظر قادم من أي نقطة من الجسم داخل ال anterior nodal point هيخرج من ال posterior nodal point ويروح يكوّن صورة النقطة اللي أتى منها صورة النقطة اللي أتى منها", "tokens": [2304, 1211, 9778, 9381, 21542, 4117, 995, 10632, 36145, 3224, 28242, 13412, 3615, 995, 27884, 4724, 17082, 11242, 28239, 19913, 2288, 12174, 18513, 2304, 9154, 36632, 8717, 47432, 3660, 9154, 25724, 38251, 28242, 13412, 3615, 995, 27884, 4724, 17082, 11242, 28239, 19913, 2288, 12174, 18513, 2304, 9154, 36632, 8717, 47432, 3660, 9154, 25724, 38251, 11778, 47283, 1211, 2423, 22272, 15224, 304, 935, 39896, 34740, 7435, 9154, 2423, 33529, 15224, 304, 935, 4032, 13546, 2407, 5016, 7251, 4117, 2407, 11703, 1863, 20328, 13063, 3660, 28239, 47432, 3660, 13672, 1829, 5551, 49975, 9154, 11296, 20328, 13063, 3660, 28239, 47432, 3660, 13672, 1829, 5551, 49975, 9154, 11296], "avg_logprob": -0.13593750567663285, "compression_ratio": 2.122905027932961, "no_speech_prob": 2.2649765014648438e-06, "words": [{"start": 887.94, "end": 888.6, "word": "ملخص", "probability": 0.7287445068359375}, {"start": 888.6, "end": 889.12, "word": " الحكاية", "probability": 0.792694091796875}, {"start": 889.12, "end": 889.5, "word": " إنه", "probability": 0.5841064453125}, {"start": 889.5, "end": 889.8, "word": " كل", "probability": 0.869140625}, {"start": 889.8, "end": 890.48, "word": " شعاعة", "probability": 0.83184814453125}, {"start": 890.48, "end": 891.44, "word": " بغض", "probability": 0.9212239583333334}, {"start": 891.44, "end": 891.88, "word": " النظر", "probability": 0.9833984375}, {"start": 891.88, "end": 892.32, "word": " قادم", "probability": 0.97705078125}, {"start": 892.32, "end": 892.54, "word": " من", "probability": 0.9931640625}, {"start": 892.54, "end": 892.9, "word": " أي", "probability": 0.8916015625}, {"start": 892.9, "end": 893.36, "word": " نقطة", "probability": 0.9716796875}, {"start": 893.36, "end": 893.52, "word": " من", "probability": 0.9912109375}, {"start": 893.52, "end": 893.98, "word": " الجسم", "probability": 0.979736328125}, {"start": 893.98, "end": 894.6, "word": " كل", "probability": 0.388671875}, {"start": 894.6, "end": 895.22, "word": " شعاعة", "probability": 0.9359130859375}, {"start": 895.22, "end": 896.16, "word": " بغض", "probability": 0.99560546875}, {"start": 896.16, "end": 896.58, "word": " النظر", "probability": 0.9925130208333334}, {"start": 896.58, "end": 896.96, "word": " قادم", "probability": 0.9811197916666666}, {"start": 896.96, "end": 897.12, "word": " من", "probability": 0.99560546875}, {"start": 897.12, "end": 897.36, "word": " أي", "probability": 0.83544921875}, {"start": 897.36, "end": 897.76, "word": " نقطة", "probability": 0.9842122395833334}, {"start": 897.76, "end": 897.92, "word": " من", "probability": 0.99267578125}, {"start": 897.92, "end": 898.38, "word": " الجسم", "probability": 0.989013671875}, {"start": 898.38, "end": 899.26, "word": " داخل", "probability": 0.7950846354166666}, {"start": 899.26, "end": 899.5, "word": " ال", "probability": 0.97998046875}, {"start": 899.5, "end": 900.06, "word": " anterior", "probability": 0.8896484375}, {"start": 900.06, "end": 900.6, "word": " nodal", "probability": 0.97216796875}, {"start": 900.6, "end": 901.04, "word": " point", "probability": 0.9853515625}, {"start": 901.04, "end": 902.04, "word": " هيخرج", "probability": 0.8190104166666666}, {"start": 902.04, "end": 902.3, "word": " من", "probability": 0.99560546875}, {"start": 902.3, "end": 903.02, "word": " ال", "probability": 0.97216796875}, {"start": 903.02, "end": 903.46, "word": " posterior", "probability": 0.9482421875}, {"start": 903.46, "end": 904.04, "word": " nodal", "probability": 0.950927734375}, {"start": 904.04, "end": 904.32, "word": " point", "probability": 0.98291015625}, {"start": 904.32, "end": 904.68, "word": " ويروح", "probability": 0.8760986328125}, {"start": 904.68, "end": 905.12, "word": " يكوّن", "probability": 0.790234375}, {"start": 905.12, "end": 905.56, "word": " صورة", "probability": 0.98876953125}, {"start": 905.56, "end": 906.04, "word": " النقطة", "probability": 0.9562174479166666}, {"start": 906.04, "end": 906.2, "word": " اللي", "probability": 0.9296875}, {"start": 906.2, "end": 906.4, "word": " أتى", "probability": 0.7236328125}, {"start": 906.4, "end": 906.72, "word": " منها", "probability": 0.991455078125}, {"start": 906.72, "end": 907.6, "word": " صورة", "probability": 0.9423828125}, {"start": 907.6, "end": 908.04, "word": " النقطة", "probability": 0.9739583333333334}, {"start": 908.04, "end": 908.16, "word": " اللي", "probability": 0.9892578125}, {"start": 908.16, "end": 908.4, "word": " أتى", "probability": 0.94970703125}, {"start": 908.4, "end": 908.74, "word": " منها", "probability": 0.994384765625}], "temperature": 1.0}, {"id": 39, "seek": 93515, "start": 909.37, "end": 935.15, "text": "the angle of entry and exit are exactly equal let's go back to point A we say point A there is one of the rays that came out of it and entered the optical system it was allowed to enter the anterior nodal point and made an angle with the optical axis theta now it came out of the posterior nodal point and made theta 2", "tokens": [3322, 5802, 295, 8729, 293, 11043, 366, 2293, 2681, 718, 311, 352, 646, 281, 935, 316, 321, 584, 935, 316, 456, 307, 472, 295, 264, 24417, 300, 1361, 484, 295, 309, 293, 9065, 264, 20674, 1185, 309, 390, 4350, 281, 3242, 264, 22272, 15224, 304, 935, 293, 1027, 364, 5802, 365, 264, 20674, 10298, 9725, 586, 309, 1361, 484, 295, 264, 33529, 15224, 304, 935, 293, 1027, 9725, 568], "avg_logprob": -0.48080358164651055, "compression_ratio": 1.8488372093023255, "no_speech_prob": 4.291534423828125e-06, "words": [{"start": 909.37, "end": 909.93, "word": "the", "probability": 0.1866455078125}, {"start": 909.93, "end": 910.17, "word": " angle", "probability": 0.315673828125}, {"start": 910.17, "end": 910.39, "word": " of", "probability": 0.74853515625}, {"start": 910.39, "end": 910.67, "word": " entry", "probability": 0.41845703125}, {"start": 910.67, "end": 910.99, "word": " and", "probability": 0.9072265625}, {"start": 910.99, "end": 911.25, "word": " exit", "probability": 0.9013671875}, {"start": 911.25, "end": 912.03, "word": " are", "probability": 0.34521484375}, {"start": 912.03, "end": 912.53, "word": " exactly", "probability": 0.260009765625}, {"start": 912.53, "end": 913.03, "word": " equal", "probability": 0.517578125}, {"start": 913.03, "end": 917.31, "word": " let's", "probability": 0.49371337890625}, {"start": 917.31, "end": 917.53, "word": " go", "probability": 0.63330078125}, {"start": 917.53, "end": 917.61, "word": " back", "probability": 0.8603515625}, {"start": 917.61, "end": 917.69, "word": " to", "probability": 0.94775390625}, {"start": 917.69, "end": 918.05, "word": " point", "probability": 0.80078125}, {"start": 918.05, "end": 918.29, "word": " A", "probability": 0.6396484375}, {"start": 918.29, "end": 918.37, "word": " we", "probability": 0.1116943359375}, {"start": 918.37, "end": 918.61, "word": " say", "probability": 0.58251953125}, {"start": 918.61, "end": 919.03, "word": " point", "probability": 0.658203125}, {"start": 919.03, "end": 919.41, "word": " A", "probability": 0.9580078125}, {"start": 919.41, "end": 920.15, "word": " there", "probability": 0.246826171875}, {"start": 920.15, "end": 920.23, "word": " is", "probability": 0.59033203125}, {"start": 920.23, "end": 920.53, "word": " one", "probability": 0.5009765625}, {"start": 920.53, "end": 920.71, "word": " of", "probability": 0.716796875}, {"start": 920.71, "end": 920.71, "word": " the", "probability": 0.80322265625}, {"start": 920.71, "end": 921.03, "word": " rays", "probability": 0.74267578125}, {"start": 921.03, "end": 921.39, "word": " that", "probability": 0.4248046875}, {"start": 921.39, "end": 921.59, "word": " came", "probability": 0.052581787109375}, {"start": 921.59, "end": 921.87, "word": " out", "probability": 0.5595703125}, {"start": 921.87, "end": 922.09, "word": " of", "probability": 0.728515625}, {"start": 922.09, "end": 922.25, "word": " it", "probability": 0.83251953125}, {"start": 922.25, "end": 922.85, "word": " and", "probability": 0.78076171875}, {"start": 922.85, "end": 923.09, "word": " entered", "probability": 0.67919921875}, {"start": 923.09, "end": 923.23, "word": " the", "probability": 0.69970703125}, {"start": 923.23, "end": 923.51, "word": " optical", "probability": 0.94873046875}, {"start": 923.51, "end": 924.05, "word": " system", "probability": 0.947265625}, {"start": 924.05, "end": 924.25, "word": " it", "probability": 0.328369140625}, {"start": 924.25, "end": 924.37, "word": " was", "probability": 0.5078125}, {"start": 924.37, "end": 924.77, "word": " allowed", "probability": 0.174072265625}, {"start": 924.77, "end": 924.95, "word": " to", "probability": 0.95361328125}, {"start": 924.95, "end": 925.23, "word": " enter", "probability": 0.84375}, {"start": 925.23, "end": 925.45, "word": " the", "probability": 0.74658203125}, {"start": 925.45, "end": 925.93, "word": " anterior", "probability": 0.9482421875}, {"start": 925.93, "end": 926.39, "word": " nodal", "probability": 0.97509765625}, {"start": 926.39, "end": 926.69, "word": " point", "probability": 0.9765625}, {"start": 926.69, "end": 926.85, "word": " and", "probability": 0.87646484375}, {"start": 926.85, "end": 927.05, "word": " made", "probability": 0.434326171875}, {"start": 927.05, "end": 927.29, "word": " an", "probability": 0.62548828125}, {"start": 927.29, "end": 927.53, "word": " angle", "probability": 0.91015625}, {"start": 927.53, "end": 927.81, "word": " with", "probability": 0.77099609375}, {"start": 927.81, "end": 927.93, "word": " the", "probability": 0.85693359375}, {"start": 927.93, "end": 928.25, "word": " optical", "probability": 0.9287109375}, {"start": 928.25, "end": 928.95, "word": " axis", "probability": 0.953125}, {"start": 928.95, "end": 929.49, "word": " theta", "probability": 0.5390625}, {"start": 929.49, "end": 931.21, "word": " now", "probability": 0.7373046875}, {"start": 931.21, "end": 931.47, "word": " it", "probability": 0.71875}, {"start": 931.47, "end": 931.81, "word": " came", "probability": 0.448974609375}, {"start": 931.81, "end": 931.83, "word": " out", "probability": 0.88916015625}, {"start": 931.83, "end": 931.99, "word": " of", "probability": 0.88623046875}, {"start": 931.99, "end": 932.15, "word": " the", "probability": 0.85107421875}, {"start": 932.15, "end": 932.71, "word": " posterior", "probability": 0.8154296875}, {"start": 932.71, "end": 933.29, "word": " nodal", "probability": 0.95361328125}, {"start": 933.29, "end": 933.57, "word": " point", "probability": 0.97705078125}, {"start": 933.57, "end": 933.75, "word": " and", "probability": 0.92578125}, {"start": 933.75, "end": 934.05, "word": " made", "probability": 0.80078125}, {"start": 934.05, "end": 934.61, "word": " theta", "probability": 0.74462890625}, {"start": 934.61, "end": 935.15, "word": " 2", "probability": 0.658203125}], "temperature": 1.0}, {"id": 40, "seek": 96192, "start": 937.64, "end": 961.92, "text": "Since θ is equal to θ2, as we said, then tan θ is equal to tan θ2 Since these angles are equal, then the shadow of θ is equal to the shadow of θ2 Well, we know that the shadow is equal to the reciprocal over the adjacent, this is the triangle of the angle, this is the reciprocal, which is the height of the body", "tokens": [44294, 12622, 307, 2681, 281, 12622, 17, 11, 382, 321, 848, 11, 550, 7603, 12622, 307, 2681, 281, 7603, 12622, 17, 4162, 613, 14708, 366, 2681, 11, 550, 264, 8576, 295, 12622, 307, 2681, 281, 264, 8576, 295, 12622, 17, 1042, 11, 321, 458, 300, 264, 8576, 307, 2681, 281, 264, 46948, 670, 264, 24441, 11, 341, 307, 264, 13369, 295, 264, 5802, 11, 341, 307, 264, 46948, 11, 597, 307, 264, 6681, 295, 264, 1772], "avg_logprob": -0.33056005409785677, "compression_ratio": 1.962962962962963, "no_speech_prob": 5.602836608886719e-06, "words": [{"start": 937.64, "end": 938.26, "word": "Since", "probability": 0.427978515625}, {"start": 938.26, "end": 938.88, "word": " θ", "probability": 0.8837890625}, {"start": 938.88, "end": 939.1, "word": " is", "probability": 0.097900390625}, {"start": 939.1, "end": 939.4, "word": " equal", "probability": 0.84912109375}, {"start": 939.4, "end": 939.46, "word": " to", "probability": 0.978515625}, {"start": 939.46, "end": 940.14, "word": " θ2,", "probability": 0.87548828125}, {"start": 940.92, "end": 941.04, "word": " as", "probability": 0.81640625}, {"start": 941.04, "end": 941.22, "word": " we", "probability": 0.87548828125}, {"start": 941.22, "end": 941.56, "word": " said,", "probability": 0.69921875}, {"start": 942.18, "end": 942.44, "word": " then", "probability": 0.744140625}, {"start": 942.44, "end": 942.88, "word": " tan", "probability": 0.90625}, {"start": 942.88, "end": 943.34, "word": " θ", "probability": 0.69580078125}, {"start": 943.34, "end": 943.74, "word": " is", "probability": 0.68701171875}, {"start": 943.74, "end": 944.06, "word": " equal", "probability": 0.9375}, {"start": 944.06, "end": 944.12, "word": " to", "probability": 0.9765625}, {"start": 944.12, "end": 944.48, "word": " tan", "probability": 0.9638671875}, {"start": 944.48, "end": 945.24, "word": " θ2", "probability": 0.971923828125}, {"start": 945.24, "end": 945.78, "word": " Since", "probability": 0.52001953125}, {"start": 945.78, "end": 946.38, "word": " these", "probability": 0.7900390625}, {"start": 946.38, "end": 946.86, "word": " angles", "probability": 0.837890625}, {"start": 946.86, "end": 947.26, "word": " are", "probability": 0.916015625}, {"start": 947.26, "end": 947.86, "word": " equal,", "probability": 0.494384765625}, {"start": 948.48, "end": 948.8, "word": " then", "probability": 0.81787109375}, {"start": 948.8, "end": 949.02, "word": " the", "probability": 0.2822265625}, {"start": 949.02, "end": 949.16, "word": " shadow", "probability": 0.5458984375}, {"start": 949.16, "end": 949.3, "word": " of", "probability": 0.89990234375}, {"start": 949.3, "end": 949.68, "word": " θ", "probability": 0.94189453125}, {"start": 949.68, "end": 950.06, "word": " is", "probability": 0.87451171875}, {"start": 950.06, "end": 950.52, "word": " equal", "probability": 0.91943359375}, {"start": 950.52, "end": 950.6, "word": " to", "probability": 0.97119140625}, {"start": 950.6, "end": 950.72, "word": " the", "probability": 0.58154296875}, {"start": 950.72, "end": 950.92, "word": " shadow", "probability": 0.95458984375}, {"start": 950.92, "end": 951.06, "word": " of", "probability": 0.9775390625}, {"start": 951.06, "end": 951.8, "word": " θ2", "probability": 0.962158203125}, {"start": 951.8, "end": 952.5, "word": " Well,", "probability": 0.368896484375}, {"start": 952.54, "end": 952.7, "word": " we", "probability": 0.935546875}, {"start": 952.7, "end": 953.06, "word": " know", "probability": 0.8583984375}, {"start": 953.06, "end": 953.38, "word": " that", "probability": 0.9345703125}, {"start": 953.38, "end": 953.78, "word": " the", "probability": 0.77197265625}, {"start": 953.78, "end": 953.92, "word": " shadow", "probability": 0.896484375}, {"start": 953.92, "end": 954.14, "word": " is", "probability": 0.76806640625}, {"start": 954.14, "end": 954.46, "word": " equal", "probability": 0.7314453125}, {"start": 954.46, "end": 954.54, "word": " to", "probability": 0.97265625}, {"start": 954.54, "end": 954.62, "word": " the", "probability": 0.70068359375}, {"start": 954.62, "end": 955.26, "word": " reciprocal", "probability": 0.1556396484375}, {"start": 955.26, "end": 956.18, "word": " over", "probability": 0.34375}, {"start": 956.18, "end": 956.34, "word": " the", "probability": 0.763671875}, {"start": 956.34, "end": 956.7, "word": " adjacent,", "probability": 0.5390625}, {"start": 956.94, "end": 957.26, "word": " this", "probability": 0.7763671875}, {"start": 957.26, "end": 957.32, "word": " is", "probability": 0.9150390625}, {"start": 957.32, "end": 957.76, "word": " the", "probability": 0.5576171875}, {"start": 957.76, "end": 957.76, "word": " triangle", "probability": 0.293212890625}, {"start": 957.76, "end": 957.94, "word": " of", "probability": 0.7763671875}, {"start": 957.94, "end": 958.4, "word": " the", "probability": 0.8701171875}, {"start": 958.4, "end": 958.7, "word": " angle,", "probability": 0.58837890625}, {"start": 958.84, "end": 960.0, "word": " this", "probability": 0.75244140625}, {"start": 960.0, "end": 960.06, "word": " is", "probability": 0.900390625}, {"start": 960.06, "end": 960.14, "word": " the", "probability": 0.8955078125}, {"start": 960.14, "end": 960.54, "word": " reciprocal,", "probability": 0.83447265625}, {"start": 960.78, "end": 960.88, "word": " which", "probability": 0.8974609375}, {"start": 960.88, "end": 961.06, "word": " is", "probability": 0.93701171875}, {"start": 961.06, "end": 961.2, "word": " the", "probability": 0.86669921875}, {"start": 961.2, "end": 961.4, "word": " height", "probability": 0.84326171875}, {"start": 961.4, "end": 961.6, "word": " of", "probability": 0.97314453125}, {"start": 961.6, "end": 961.68, "word": " the", "probability": 0.92236328125}, {"start": 961.68, "end": 961.92, "word": " body", "probability": 0.76953125}], "temperature": 1.0}, {"id": 41, "seek": 97209, "start": 963.51, "end": 972.09, "text": "والمجاور، المجاور اللي هي بعد الجسم عن ال optical system اللي بيسموها object distance، هنا object هي ..", "tokens": [2407, 45340, 7435, 995, 13063, 12399, 9673, 7435, 995, 13063, 13672, 1829, 39896, 39182, 25724, 38251, 18871, 2423, 20674, 1185, 13672, 1829, 4724, 1829, 38251, 2407, 11296, 2657, 4560, 12399, 34105, 2657, 39896, 4386], "avg_logprob": -0.2207589328289032, "compression_ratio": 1.3275862068965518, "no_speech_prob": 4.4345855712890625e-05, "words": [{"start": 963.51, "end": 964.35, "word": "والمجاور،", "probability": 0.7601114908854166}, {"start": 964.35, "end": 965.03, "word": " المجاور", "probability": 0.989013671875}, {"start": 965.03, "end": 965.19, "word": " اللي", "probability": 0.8779296875}, {"start": 965.19, "end": 965.29, "word": " هي", "probability": 0.681640625}, {"start": 965.29, "end": 965.65, "word": " بعد", "probability": 0.342529296875}, {"start": 965.65, "end": 966.33, "word": " الجسم", "probability": 0.9765625}, {"start": 966.33, "end": 967.15, "word": " عن", "probability": 0.9892578125}, {"start": 967.15, "end": 967.29, "word": " ال", "probability": 0.9873046875}, {"start": 967.29, "end": 967.67, "word": " optical", "probability": 0.9404296875}, {"start": 967.67, "end": 968.33, "word": " system", "probability": 0.97314453125}, {"start": 968.33, "end": 968.61, "word": " اللي", "probability": 0.8984375}, {"start": 968.61, "end": 969.07, "word": " بيسموها", "probability": 0.96591796875}, {"start": 969.07, "end": 969.61, "word": " object", "probability": 0.96533203125}, {"start": 969.61, "end": 970.61, "word": " distance،", "probability": 0.74267578125}, {"start": 970.61, "end": 970.87, "word": " هنا", "probability": 0.95361328125}, {"start": 970.87, "end": 971.53, "word": " object", "probability": 0.986328125}, {"start": 971.53, "end": 971.91, "word": " هي", "probability": 0.368408203125}, {"start": 971.91, "end": 972.09, "word": " ..", "probability": 0.59912109375}], "temperature": 1.0}, {"id": 42, "seek": 100098, "start": 972.62, "end": 1000.98, "text": "and object distance, so the shadow of theta is object height over object distance so tan theta is equal to tan theta 2, why? because if this angle is 30 degrees and this angle is 30 degrees for example, the shadow of 30 is equal to the shadow of 30 and therefore, since theta is equal to theta 2, then tan theta which is the shadow of theta is equal to tan theta 2 which is the shadow of theta 2", "tokens": [474, 2657, 4560, 11, 370, 264, 8576, 295, 9725, 307, 2657, 6681, 670, 2657, 4560, 370, 7603, 9725, 307, 2681, 281, 7603, 9725, 568, 11, 983, 30, 570, 498, 341, 5802, 307, 2217, 5310, 293, 341, 5802, 307, 2217, 5310, 337, 1365, 11, 264, 8576, 295, 2217, 307, 2681, 281, 264, 8576, 295, 2217, 293, 4412, 11, 1670, 9725, 307, 2681, 281, 9725, 568, 11, 550, 7603, 9725, 597, 307, 264, 8576, 295, 9725, 307, 2681, 281, 7603, 9725, 568, 597, 307, 264, 8576, 295, 9725, 568], "avg_logprob": -0.3123224526643753, "compression_ratio": 2.4382716049382718, "no_speech_prob": 7.164478302001953e-05, "words": [{"start": 972.62, "end": 972.82, "word": "and", "probability": 0.21484375}, {"start": 972.82, "end": 973.18, "word": " object", "probability": 0.91015625}, {"start": 973.18, "end": 973.78, "word": " distance,", "probability": 0.91796875}, {"start": 973.96, "end": 974.3, "word": " so", "probability": 0.45703125}, {"start": 974.3, "end": 974.66, "word": " the", "probability": 0.07647705078125}, {"start": 974.66, "end": 974.9, "word": " shadow", "probability": 0.309814453125}, {"start": 974.9, "end": 975.06, "word": " of", "probability": 0.86669921875}, {"start": 975.06, "end": 975.4, "word": " theta", "probability": 0.72998046875}, {"start": 975.4, "end": 975.7, "word": " is", "probability": 0.8955078125}, {"start": 975.7, "end": 976.36, "word": " object", "probability": 0.72314453125}, {"start": 976.36, "end": 976.86, "word": " height", "probability": 0.76220703125}, {"start": 976.86, "end": 977.42, "word": " over", "probability": 0.59326171875}, {"start": 977.42, "end": 977.88, "word": " object", "probability": 0.90087890625}, {"start": 977.88, "end": 978.52, "word": " distance", "probability": 0.92822265625}, {"start": 978.52, "end": 979.22, "word": " so", "probability": 0.30224609375}, {"start": 979.22, "end": 980.08, "word": " tan", "probability": 0.90380859375}, {"start": 980.08, "end": 980.62, "word": " theta", "probability": 0.76025390625}, {"start": 980.62, "end": 981.32, "word": " is", "probability": 0.251708984375}, {"start": 981.32, "end": 981.66, "word": " equal", "probability": 0.90478515625}, {"start": 981.66, "end": 981.74, "word": " to", "probability": 0.9658203125}, {"start": 981.74, "end": 982.02, "word": " tan", "probability": 0.943359375}, {"start": 982.02, "end": 982.36, "word": " theta", "probability": 0.8642578125}, {"start": 982.36, "end": 982.66, "word": " 2,", "probability": 0.467041015625}, {"start": 982.76, "end": 983.04, "word": " why?", "probability": 0.84912109375}, {"start": 983.36, "end": 983.68, "word": " because", "probability": 0.78173828125}, {"start": 983.68, "end": 983.88, "word": " if", "probability": 0.86474609375}, {"start": 983.88, "end": 984.08, "word": " this", "probability": 0.88427734375}, {"start": 984.08, "end": 984.36, "word": " angle", "probability": 0.720703125}, {"start": 984.36, "end": 984.48, "word": " is", "probability": 0.919921875}, {"start": 984.48, "end": 984.92, "word": " 30", "probability": 0.83056640625}, {"start": 984.92, "end": 985.32, "word": " degrees", "probability": 0.84814453125}, {"start": 985.32, "end": 985.78, "word": " and", "probability": 0.7978515625}, {"start": 985.78, "end": 986.02, "word": " this", "probability": 0.8603515625}, {"start": 986.02, "end": 986.28, "word": " angle", "probability": 0.80859375}, {"start": 986.28, "end": 986.38, "word": " is", "probability": 0.92626953125}, {"start": 986.38, "end": 986.82, "word": " 30", "probability": 0.86962890625}, {"start": 986.82, "end": 987.2, "word": " degrees", "probability": 0.93701171875}, {"start": 987.2, "end": 987.42, "word": " for", "probability": 0.62646484375}, {"start": 987.42, "end": 988.28, "word": " example,", "probability": 0.79248046875}, {"start": 988.68, "end": 988.74, "word": " the", "probability": 0.381591796875}, {"start": 988.74, "end": 989.3, "word": " shadow", "probability": 0.72998046875}, {"start": 989.3, "end": 989.44, "word": " of", "probability": 0.94091796875}, {"start": 989.44, "end": 989.92, "word": " 30", "probability": 0.68359375}, {"start": 989.92, "end": 990.14, "word": " is", "probability": 0.5849609375}, {"start": 990.14, "end": 990.48, "word": " equal", "probability": 0.89501953125}, {"start": 990.48, "end": 990.58, "word": " to", "probability": 0.96630859375}, {"start": 990.58, "end": 990.64, "word": " the", "probability": 0.6689453125}, {"start": 990.64, "end": 990.82, "word": " shadow", "probability": 0.88671875}, {"start": 990.82, "end": 991.02, "word": " of", "probability": 0.9697265625}, {"start": 991.02, "end": 991.56, "word": " 30", "probability": 0.93359375}, {"start": 991.56, "end": 991.72, "word": " and", "probability": 0.424560546875}, {"start": 991.72, "end": 992.18, "word": " therefore,", "probability": 0.44140625}, {"start": 992.64, "end": 992.9, "word": " since", "probability": 0.599609375}, {"start": 992.9, "end": 993.5, "word": " theta", "probability": 0.86279296875}, {"start": 993.5, "end": 993.68, "word": " is", "probability": 0.82373046875}, {"start": 993.68, "end": 993.96, "word": " equal", "probability": 0.8876953125}, {"start": 993.96, "end": 994.0, "word": " to", "probability": 0.97021484375}, {"start": 994.0, "end": 994.3, "word": " theta", "probability": 0.90576171875}, {"start": 994.3, "end": 994.68, "word": " 2,", "probability": 0.9716796875}, {"start": 995.18, "end": 995.52, "word": " then", "probability": 0.485107421875}, {"start": 995.52, "end": 995.9, "word": " tan", "probability": 0.9365234375}, {"start": 995.9, "end": 996.44, "word": " theta", "probability": 0.86962890625}, {"start": 996.44, "end": 996.84, "word": " which", "probability": 0.49462890625}, {"start": 996.84, "end": 996.94, "word": " is", "probability": 0.9462890625}, {"start": 996.94, "end": 997.08, "word": " the", "probability": 0.59716796875}, {"start": 997.08, "end": 997.2, "word": " shadow", "probability": 0.95654296875}, {"start": 997.2, "end": 997.28, "word": " of", "probability": 0.94091796875}, {"start": 997.28, "end": 997.64, "word": " theta", "probability": 0.8935546875}, {"start": 997.64, "end": 998.1, "word": " is", "probability": 0.81298828125}, {"start": 998.1, "end": 998.42, "word": " equal", "probability": 0.91162109375}, {"start": 998.42, "end": 998.48, "word": " to", "probability": 0.97265625}, {"start": 998.48, "end": 998.8, "word": " tan", "probability": 0.869140625}, {"start": 998.8, "end": 999.14, "word": " theta", "probability": 0.857421875}, {"start": 999.14, "end": 999.52, "word": " 2", "probability": 0.970703125}, {"start": 999.52, "end": 999.74, "word": " which", "probability": 0.87841796875}, {"start": 999.74, "end": 999.92, "word": " is", "probability": 0.94775390625}, {"start": 999.92, "end": 1000.06, "word": " the", "probability": 0.8115234375}, {"start": 1000.06, "end": 1000.24, "word": " shadow", "probability": 0.94287109375}, {"start": 1000.24, "end": 1000.42, "word": " of", "probability": 0.9638671875}, {"start": 1000.42, "end": 1000.68, "word": " theta", "probability": 0.89794921875}, {"start": 1000.68, "end": 1000.98, "word": " 2", "probability": 0.978515625}], "temperature": 1.0}, {"id": 43, "seek": 102775, "start": 1001.11, "end": 1027.75, "text": "طب إيش بدنا نعوض عن ذل فيتا، بنقول ذل فيتا المقابل على المجاور، يعني ال object head على ال object distance، object head على ال object distance طيب و فيتا اتنين، فيتا اتنين ذلها برضه المقابل على المجاور، المقابل اللي هو ال image head، و المجاور ال image distance، بعد ال image عن ال optical system", "tokens": [9566, 3555, 11933, 1829, 8592, 47525, 8315, 8717, 3615, 2407, 11242, 18871, 29910, 1211, 6156, 36081, 995, 12399, 44945, 39648, 29910, 1211, 6156, 36081, 995, 9673, 4587, 16758, 1211, 15844, 9673, 7435, 995, 13063, 12399, 37495, 22653, 2423, 2657, 1378, 15844, 2423, 2657, 4560, 12399, 2657, 1378, 15844, 2423, 2657, 4560, 23032, 1829, 3555, 4032, 6156, 36081, 995, 1975, 2655, 1863, 9957, 12399, 6156, 36081, 995, 1975, 2655, 1863, 9957, 29910, 1211, 11296, 4724, 43042, 3224, 9673, 4587, 16758, 1211, 15844, 9673, 7435, 995, 13063, 12399, 9673, 4587, 16758, 1211, 13672, 1829, 31439, 2423, 3256, 1378, 12399, 4032, 9673, 7435, 995, 13063, 2423, 3256, 4560, 12399, 39182, 2423, 3256, 18871, 2423, 20674, 1185], "avg_logprob": -0.18023574234623657, "compression_ratio": 2.2118226600985222, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 1001.11, "end": 1001.41, "word": "طب", "probability": 0.5186767578125}, {"start": 1001.41, "end": 1001.73, "word": " إيش", "probability": 0.7923177083333334}, {"start": 1001.73, "end": 1002.29, "word": " بدنا", "probability": 0.80224609375}, {"start": 1002.29, "end": 1002.89, "word": " نعوض", "probability": 0.8868408203125}, {"start": 1002.89, "end": 1003.17, "word": " عن", "probability": 0.9931640625}, {"start": 1003.17, "end": 1003.43, "word": " ذل", "probability": 0.630615234375}, {"start": 1003.43, "end": 1004.21, "word": " فيتا،", "probability": 0.62353515625}, {"start": 1004.21, "end": 1004.69, "word": " بنقول", "probability": 0.933349609375}, {"start": 1004.69, "end": 1005.51, "word": " ذل", "probability": 0.903564453125}, {"start": 1005.51, "end": 1006.03, "word": " فيتا", "probability": 0.9153645833333334}, {"start": 1006.03, "end": 1006.91, "word": " المقابل", "probability": 0.9781494140625}, {"start": 1006.91, "end": 1007.07, "word": " على", "probability": 0.50537109375}, {"start": 1007.07, "end": 1007.67, "word": " المجاور،", "probability": 0.92734375}, {"start": 1007.67, "end": 1007.87, "word": " يعني", "probability": 0.871337890625}, {"start": 1007.87, "end": 1008.11, "word": " ال", "probability": 0.83642578125}, {"start": 1008.11, "end": 1008.63, "word": " object", "probability": 0.91259765625}, {"start": 1008.63, "end": 1009.09, "word": " head", "probability": 0.317138671875}, {"start": 1009.09, "end": 1009.75, "word": " على", "probability": 0.7666015625}, {"start": 1009.75, "end": 1009.95, "word": " ال", "probability": 0.9931640625}, {"start": 1009.95, "end": 1010.33, "word": " object", "probability": 0.95703125}, {"start": 1010.33, "end": 1011.45, "word": " distance،", "probability": 0.6260986328125}, {"start": 1011.45, "end": 1011.87, "word": " object", "probability": 0.97607421875}, {"start": 1011.87, "end": 1012.45, "word": " head", "probability": 0.9619140625}, {"start": 1012.45, "end": 1012.95, "word": " على", "probability": 0.81298828125}, {"start": 1012.95, "end": 1013.07, "word": " ال", "probability": 0.99609375}, {"start": 1013.07, "end": 1013.39, "word": " object", "probability": 0.9814453125}, {"start": 1013.39, "end": 1014.09, "word": " distance", "probability": 0.93359375}, {"start": 1014.09, "end": 1014.55, "word": " طيب", "probability": 0.79150390625}, {"start": 1014.55, "end": 1014.89, "word": " و", "probability": 0.60302734375}, {"start": 1014.89, "end": 1015.25, "word": " فيتا", "probability": 0.7718912760416666}, {"start": 1015.25, "end": 1015.91, "word": " اتنين،", "probability": 0.86474609375}, {"start": 1015.91, "end": 1016.31, "word": " فيتا", "probability": 0.9208984375}, {"start": 1016.31, "end": 1016.59, "word": " اتنين", "probability": 0.961669921875}, {"start": 1016.59, "end": 1017.05, "word": " ذلها", "probability": 0.86328125}, {"start": 1017.05, "end": 1017.37, "word": " برضه", "probability": 0.95947265625}, {"start": 1017.37, "end": 1018.17, "word": " المقابل", "probability": 0.9932861328125}, {"start": 1018.17, "end": 1018.85, "word": " على", "probability": 0.9404296875}, {"start": 1018.85, "end": 1020.07, "word": " المجاور،", "probability": 0.9873046875}, {"start": 1020.07, "end": 1021.09, "word": " المقابل", "probability": 0.98193359375}, {"start": 1021.09, "end": 1021.49, "word": " اللي", "probability": 0.9541015625}, {"start": 1021.49, "end": 1021.67, "word": " هو", "probability": 0.99072265625}, {"start": 1021.67, "end": 1021.85, "word": " ال", "probability": 0.9853515625}, {"start": 1021.85, "end": 1022.19, "word": " image", "probability": 0.96435546875}, {"start": 1022.19, "end": 1023.01, "word": " head،", "probability": 0.7216796875}, {"start": 1023.01, "end": 1023.17, "word": " و", "probability": 0.90283203125}, {"start": 1023.17, "end": 1023.93, "word": " المجاور", "probability": 0.95458984375}, {"start": 1023.93, "end": 1024.25, "word": " ال", "probability": 0.9091796875}, {"start": 1024.25, "end": 1024.63, "word": " image", "probability": 0.9638671875}, {"start": 1024.63, "end": 1025.31, "word": " distance،", "probability": 0.960205078125}, {"start": 1025.31, "end": 1025.51, "word": " بعد", "probability": 0.4443359375}, {"start": 1025.51, "end": 1025.71, "word": " ال", "probability": 0.9892578125}, {"start": 1025.71, "end": 1026.03, "word": " image", "probability": 0.95654296875}, {"start": 1026.03, "end": 1026.35, "word": " عن", "probability": 0.986328125}, {"start": 1026.35, "end": 1026.65, "word": " ال", "probability": 0.99462890625}, {"start": 1026.65, "end": 1027.05, "word": " optical", "probability": 0.9794921875}, {"start": 1027.05, "end": 1027.75, "word": " system", "probability": 0.9599609375}], "temperature": 1.0}, {"id": 44, "seek": 105579, "start": 1028.01, "end": 1055.79, "text": "So object height over object distance is equal to image height over image distance, okay? Now object height over object distance is equal to image height over image distance We know in mathematics and in the science of faults, if they are too much equal, if they are too much equal, then the lowest over the lowest is equal to the highest over the highest This is the Foucault equation", "tokens": [6455, 2657, 6681, 670, 2657, 4560, 307, 2681, 281, 3256, 6681, 670, 3256, 4560, 11, 1392, 30, 823, 2657, 6681, 670, 2657, 4560, 307, 2681, 281, 3256, 6681, 670, 3256, 4560, 492, 458, 294, 18666, 293, 294, 264, 3497, 295, 36090, 11, 498, 436, 366, 886, 709, 2681, 11, 498, 436, 366, 886, 709, 2681, 11, 550, 264, 12437, 670, 264, 12437, 307, 2681, 281, 264, 6343, 670, 264, 6343, 639, 307, 264, 479, 263, 496, 723, 5367], "avg_logprob": -0.4620253036293802, "compression_ratio": 2.319277108433735, "no_speech_prob": 2.86102294921875e-06, "words": [{"start": 1028.01, "end": 1028.41, "word": "So", "probability": 0.58349609375}, {"start": 1028.41, "end": 1029.17, "word": " object", "probability": 0.86865234375}, {"start": 1029.17, "end": 1029.59, "word": " height", "probability": 0.86572265625}, {"start": 1029.59, "end": 1029.83, "word": " over", "probability": 0.401611328125}, {"start": 1029.83, "end": 1030.27, "word": " object", "probability": 0.9677734375}, {"start": 1030.27, "end": 1030.95, "word": " distance", "probability": 0.93603515625}, {"start": 1030.95, "end": 1031.49, "word": " is", "probability": 0.310791015625}, {"start": 1031.49, "end": 1031.85, "word": " equal", "probability": 0.888671875}, {"start": 1031.85, "end": 1031.99, "word": " to", "probability": 0.97119140625}, {"start": 1031.99, "end": 1032.37, "word": " image", "probability": 0.8779296875}, {"start": 1032.37, "end": 1032.77, "word": " height", "probability": 0.9482421875}, {"start": 1032.77, "end": 1032.99, "word": " over", "probability": 0.88818359375}, {"start": 1032.99, "end": 1033.39, "word": " image", "probability": 0.88525390625}, {"start": 1033.39, "end": 1033.99, "word": " distance,", "probability": 0.92724609375}, {"start": 1034.37, "end": 1034.69, "word": " okay?", "probability": 0.235595703125}, {"start": 1035.15, "end": 1035.63, "word": " Now", "probability": 0.88623046875}, {"start": 1035.63, "end": 1037.15, "word": " object", "probability": 0.78759765625}, {"start": 1037.15, "end": 1037.63, "word": " height", "probability": 0.96044921875}, {"start": 1037.63, "end": 1037.79, "word": " over", "probability": 0.91552734375}, {"start": 1037.79, "end": 1038.21, "word": " object", "probability": 0.958984375}, {"start": 1038.21, "end": 1038.85, "word": " distance", "probability": 0.93408203125}, {"start": 1038.85, "end": 1039.31, "word": " is", "probability": 0.8857421875}, {"start": 1039.31, "end": 1039.67, "word": " equal", "probability": 0.92138671875}, {"start": 1039.67, "end": 1039.77, "word": " to", "probability": 0.97314453125}, {"start": 1039.77, "end": 1040.19, "word": " image", "probability": 0.91845703125}, {"start": 1040.19, "end": 1040.57, "word": " height", "probability": 0.9658203125}, {"start": 1040.57, "end": 1040.81, "word": " over", "probability": 0.92919921875}, {"start": 1040.81, "end": 1041.25, "word": " image", "probability": 0.8857421875}, {"start": 1041.25, "end": 1041.79, "word": " distance", "probability": 0.9287109375}, {"start": 1041.79, "end": 1042.57, "word": " We", "probability": 0.62939453125}, {"start": 1042.57, "end": 1043.61, "word": " know", "probability": 0.5849609375}, {"start": 1043.61, "end": 1043.87, "word": " in", "probability": 0.64306640625}, {"start": 1043.87, "end": 1044.35, "word": " mathematics", "probability": 0.404541015625}, {"start": 1044.35, "end": 1044.73, "word": " and", "probability": 0.8876953125}, {"start": 1044.73, "end": 1044.79, "word": " in", "probability": 0.476806640625}, {"start": 1044.79, "end": 1044.85, "word": " the", "probability": 0.1051025390625}, {"start": 1044.85, "end": 1045.03, "word": " science", "probability": 0.74560546875}, {"start": 1045.03, "end": 1045.17, "word": " of", "probability": 0.96728515625}, {"start": 1045.17, "end": 1045.43, "word": " faults,", "probability": 0.04803466796875}, {"start": 1045.61, "end": 1045.79, "word": " if", "probability": 0.83447265625}, {"start": 1045.79, "end": 1046.05, "word": " they", "probability": 0.349853515625}, {"start": 1046.05, "end": 1046.47, "word": " are", "probability": 0.57470703125}, {"start": 1046.47, "end": 1046.79, "word": " too", "probability": 0.151611328125}, {"start": 1046.79, "end": 1047.01, "word": " much", "probability": 0.202392578125}, {"start": 1047.01, "end": 1047.01, "word": " equal,", "probability": 0.71923828125}, {"start": 1047.47, "end": 1047.73, "word": " if", "probability": 0.82958984375}, {"start": 1047.73, "end": 1048.03, "word": " they", "probability": 0.8056640625}, {"start": 1048.03, "end": 1048.27, "word": " are", "probability": 0.93408203125}, {"start": 1048.27, "end": 1048.37, "word": " too", "probability": 0.93115234375}, {"start": 1048.37, "end": 1048.75, "word": " much", "probability": 0.89794921875}, {"start": 1048.75, "end": 1048.75, "word": " equal,", "probability": 0.931640625}, {"start": 1049.27, "end": 1049.55, "word": " then", "probability": 0.7685546875}, {"start": 1049.55, "end": 1049.81, "word": " the", "probability": 0.53125}, {"start": 1049.81, "end": 1050.11, "word": " lowest", "probability": 0.0413818359375}, {"start": 1050.11, "end": 1050.45, "word": " over", "probability": 0.6787109375}, {"start": 1050.45, "end": 1050.65, "word": " the", "probability": 0.54248046875}, {"start": 1050.65, "end": 1050.93, "word": " lowest", "probability": 0.93701171875}, {"start": 1050.93, "end": 1051.17, "word": " is", "probability": 0.70751953125}, {"start": 1051.17, "end": 1051.49, "word": " equal", "probability": 0.876953125}, {"start": 1051.49, "end": 1051.57, "word": " to", "probability": 0.96875}, {"start": 1051.57, "end": 1051.63, "word": " the", "probability": 0.81298828125}, {"start": 1051.63, "end": 1052.01, "word": " highest", "probability": 0.90234375}, {"start": 1052.01, "end": 1052.25, "word": " over", "probability": 0.869140625}, {"start": 1052.25, "end": 1052.43, "word": " the", "probability": 0.9169921875}, {"start": 1052.43, "end": 1052.71, "word": " highest", "probability": 0.95068359375}, {"start": 1052.71, "end": 1053.45, "word": " This", "probability": 0.370849609375}, {"start": 1053.45, "end": 1053.65, "word": " is", "probability": 0.85302734375}, {"start": 1053.65, "end": 1054.11, "word": " the", "probability": 0.84130859375}, {"start": 1054.11, "end": 1055.79, "word": " Foucault", "probability": 0.44305419921875}, {"start": 1055.79, "end": 1055.79, "word": " equation", "probability": 0.828125}], "temperature": 1.0}, {"id": 45, "seek": 108540, "start": 1056.58, "end": 1085.4, "text": "we want to repeat the order by saying image distance which is the position over object distance is equal to image height over object height or let's say as follows the bus on the bus is equal to the position on the position let's repeat again the bus on the bus is equal to the position on the position so image height over object height", "tokens": [826, 528, 281, 7149, 264, 1668, 538, 1566, 3256, 4560, 597, 307, 264, 2535, 670, 2657, 4560, 307, 2681, 281, 3256, 6681, 670, 2657, 6681, 420, 718, 311, 584, 382, 10002, 264, 1255, 322, 264, 1255, 307, 2681, 281, 264, 2535, 322, 264, 2535, 718, 311, 7149, 797, 264, 1255, 322, 264, 1255, 307, 2681, 281, 264, 2535, 322, 264, 2535, 370, 3256, 6681, 670, 2657, 6681], "avg_logprob": -0.3306525673936395, "compression_ratio": 2.4244604316546763, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 1056.58, "end": 1056.78, "word": "we", "probability": 0.2415771484375}, {"start": 1056.78, "end": 1056.94, "word": " want", "probability": 0.392333984375}, {"start": 1056.94, "end": 1057.08, "word": " to", "probability": 0.96923828125}, {"start": 1057.08, "end": 1057.26, "word": " repeat", "probability": 0.4033203125}, {"start": 1057.26, "end": 1057.5, "word": " the", "probability": 0.70263671875}, {"start": 1057.5, "end": 1057.82, "word": " order", "probability": 0.57373046875}, {"start": 1057.82, "end": 1058.06, "word": " by", "probability": 0.369873046875}, {"start": 1058.06, "end": 1058.48, "word": " saying", "probability": 0.89794921875}, {"start": 1058.48, "end": 1059.94, "word": " image", "probability": 0.76171875}, {"start": 1059.94, "end": 1060.66, "word": " distance", "probability": 0.9345703125}, {"start": 1060.66, "end": 1062.0, "word": " which", "probability": 0.70751953125}, {"start": 1062.0, "end": 1062.16, "word": " is", "probability": 0.9013671875}, {"start": 1062.16, "end": 1062.28, "word": " the", "probability": 0.611328125}, {"start": 1062.28, "end": 1062.64, "word": " position", "probability": 0.373779296875}, {"start": 1062.64, "end": 1063.44, "word": " over", "probability": 0.51025390625}, {"start": 1063.44, "end": 1063.98, "word": " object", "probability": 0.86181640625}, {"start": 1063.98, "end": 1064.74, "word": " distance", "probability": 0.93408203125}, {"start": 1064.74, "end": 1067.12, "word": " is", "probability": 0.365478515625}, {"start": 1067.12, "end": 1067.6, "word": " equal", "probability": 0.8876953125}, {"start": 1067.6, "end": 1068.06, "word": " to", "probability": 0.96875}, {"start": 1068.06, "end": 1068.48, "word": " image", "probability": 0.865234375}, {"start": 1068.48, "end": 1068.92, "word": " height", "probability": 0.85400390625}, {"start": 1068.92, "end": 1069.32, "word": " over", "probability": 0.86767578125}, {"start": 1069.32, "end": 1069.8, "word": " object", "probability": 0.95263671875}, {"start": 1069.8, "end": 1070.14, "word": " height", "probability": 0.9619140625}, {"start": 1070.14, "end": 1070.56, "word": " or", "probability": 0.79931640625}, {"start": 1070.56, "end": 1070.96, "word": " let's", "probability": 0.894287109375}, {"start": 1070.96, "end": 1071.2, "word": " say", "probability": 0.9091796875}, {"start": 1071.2, "end": 1071.34, "word": " as", "probability": 0.396240234375}, {"start": 1071.34, "end": 1071.8, "word": " follows", "probability": 0.71240234375}, {"start": 1071.8, "end": 1072.36, "word": " the", "probability": 0.1849365234375}, {"start": 1072.36, "end": 1072.6, "word": " bus", "probability": 0.1619873046875}, {"start": 1072.6, "end": 1072.96, "word": " on", "probability": 0.275634765625}, {"start": 1072.96, "end": 1073.16, "word": " the", "probability": 0.87255859375}, {"start": 1073.16, "end": 1073.6, "word": " bus", "probability": 0.94482421875}, {"start": 1073.6, "end": 1074.58, "word": " is", "probability": 0.6376953125}, {"start": 1074.58, "end": 1075.02, "word": " equal", "probability": 0.884765625}, {"start": 1075.02, "end": 1075.08, "word": " to", "probability": 0.9638671875}, {"start": 1075.08, "end": 1075.2, "word": " the", "probability": 0.73388671875}, {"start": 1075.2, "end": 1075.62, "word": " position", "probability": 0.7626953125}, {"start": 1075.62, "end": 1075.9, "word": " on", "probability": 0.50927734375}, {"start": 1075.9, "end": 1076.08, "word": " the", "probability": 0.9052734375}, {"start": 1076.08, "end": 1076.44, "word": " position", "probability": 0.91015625}, {"start": 1076.44, "end": 1076.92, "word": " let's", "probability": 0.6796875}, {"start": 1076.92, "end": 1077.08, "word": " repeat", "probability": 0.82763671875}, {"start": 1077.08, "end": 1077.44, "word": " again", "probability": 0.72265625}, {"start": 1077.44, "end": 1077.64, "word": " the", "probability": 0.6435546875}, {"start": 1077.64, "end": 1078.86, "word": " bus", "probability": 0.892578125}, {"start": 1078.86, "end": 1079.42, "word": " on", "probability": 0.94091796875}, {"start": 1079.42, "end": 1079.64, "word": " the", "probability": 0.9267578125}, {"start": 1079.64, "end": 1080.02, "word": " bus", "probability": 0.92138671875}, {"start": 1080.02, "end": 1080.64, "word": " is", "probability": 0.93212890625}, {"start": 1080.64, "end": 1081.0, "word": " equal", "probability": 0.9033203125}, {"start": 1081.0, "end": 1081.08, "word": " to", "probability": 0.9697265625}, {"start": 1081.08, "end": 1081.2, "word": " the", "probability": 0.896484375}, {"start": 1081.2, "end": 1081.56, "word": " position", "probability": 0.9267578125}, {"start": 1081.56, "end": 1081.92, "word": " on", "probability": 0.92236328125}, {"start": 1081.92, "end": 1082.1, "word": " the", "probability": 0.91650390625}, {"start": 1082.1, "end": 1082.42, "word": " position", "probability": 0.93505859375}, {"start": 1082.42, "end": 1083.0, "word": " so", "probability": 0.66162109375}, {"start": 1083.0, "end": 1083.6, "word": " image", "probability": 0.8154296875}, {"start": 1083.6, "end": 1084.04, "word": " height", "probability": 0.9609375}, {"start": 1084.04, "end": 1084.4, "word": " over", "probability": 0.80810546875}, {"start": 1084.4, "end": 1084.94, "word": " object", "probability": 0.955078125}, {"start": 1084.94, "end": 1085.4, "word": " height", "probability": 0.970703125}], "temperature": 1.0}, {"id": 46, "seek": 109719, "start": 1086.07, "end": 1097.19, "text": "is equal to image distance over object distance. A person might object and say, what made us think that this is correct? It is said in math. Half is equal to two quarters", "tokens": [271, 2681, 281, 3256, 4560, 670, 2657, 4560, 13, 316, 954, 1062, 2657, 293, 584, 11, 437, 1027, 505, 519, 300, 341, 307, 3006, 30, 467, 307, 848, 294, 5221, 13, 15917, 307, 2681, 281, 732, 20612], "avg_logprob": -0.5657894846640135, "compression_ratio": 1.3709677419354838, "no_speech_prob": 5.424022674560547e-06, "words": [{"start": 1086.07, "end": 1086.35, "word": "is", "probability": 0.10650634765625}, {"start": 1086.35, "end": 1086.73, "word": " equal", "probability": 0.82763671875}, {"start": 1086.73, "end": 1086.87, "word": " to", "probability": 0.95361328125}, {"start": 1086.87, "end": 1087.21, "word": " image", "probability": 0.78515625}, {"start": 1087.21, "end": 1087.85, "word": " distance", "probability": 0.931640625}, {"start": 1087.85, "end": 1088.11, "word": " over", "probability": 0.463134765625}, {"start": 1088.11, "end": 1088.51, "word": " object", "probability": 0.9560546875}, {"start": 1088.51, "end": 1088.97, "word": " distance.", "probability": 0.9296875}, {"start": 1089.07, "end": 1089.33, "word": " A", "probability": 0.1973876953125}, {"start": 1089.33, "end": 1089.61, "word": " person", "probability": 0.68896484375}, {"start": 1089.61, "end": 1089.71, "word": " might", "probability": 0.42626953125}, {"start": 1089.71, "end": 1090.01, "word": " object", "probability": 0.70947265625}, {"start": 1090.01, "end": 1090.19, "word": " and", "probability": 0.6552734375}, {"start": 1090.19, "end": 1090.35, "word": " say,", "probability": 0.8662109375}, {"start": 1090.45, "end": 1090.59, "word": " what", "probability": 0.3662109375}, {"start": 1090.59, "end": 1090.81, "word": " made", "probability": 0.32421875}, {"start": 1090.81, "end": 1091.05, "word": " us", "probability": 0.483642578125}, {"start": 1091.05, "end": 1091.15, "word": " think", "probability": 0.367919921875}, {"start": 1091.15, "end": 1091.31, "word": " that", "probability": 0.4658203125}, {"start": 1091.31, "end": 1091.45, "word": " this", "probability": 0.6220703125}, {"start": 1091.45, "end": 1091.69, "word": " is", "probability": 0.404296875}, {"start": 1091.69, "end": 1091.97, "word": " correct?", "probability": 0.50341796875}, {"start": 1092.15, "end": 1092.21, "word": " It", "probability": 0.279052734375}, {"start": 1092.21, "end": 1092.27, "word": " is", "probability": 0.599609375}, {"start": 1092.27, "end": 1092.43, "word": " said", "probability": 0.78662109375}, {"start": 1092.43, "end": 1092.59, "word": " in", "probability": 0.85546875}, {"start": 1092.59, "end": 1093.03, "word": " math.", "probability": 0.43359375}, {"start": 1094.89, "end": 1095.37, "word": " Half", "probability": 0.904296875}, {"start": 1095.37, "end": 1095.87, "word": " is", "probability": 0.7841796875}, {"start": 1095.87, "end": 1096.23, "word": " equal", "probability": 0.83984375}, {"start": 1096.23, "end": 1096.93, "word": " to", "probability": 0.97998046875}, {"start": 1096.93, "end": 1097.07, "word": " two", "probability": 0.58642578125}, {"start": 1097.07, "end": 1097.19, "word": " quarters", "probability": 0.89794921875}], "temperature": 1.0}, {"id": 47, "seek": 112277, "start": 1098.09, "end": 1122.77, "text": "لو قلنا البسط على البسط هنا واحد على اتنين يساوي اتنين على اربع طب ممكن انسان يقول ممكن بالعكس؟ اه ممكن بالعكس البسط على البسط اتنين على واحد يساوي اربع على اتنين لإن اتنين على واحد يساوي اتنين واربع على اتنين يساوي اتنين مثال آخر بنقول البسط على البسط واحد على اتنين يساوي تلاتة على ست ممكن بالعكس نمشي؟ اه ممكن", "tokens": [1211, 2407, 12174, 1211, 8315, 29739, 3794, 9566, 15844, 29739, 3794, 9566, 34105, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 15844, 1975, 25513, 3615, 23032, 3555, 3714, 43020, 16472, 3794, 7649, 7251, 39648, 3714, 43020, 20666, 3615, 4117, 3794, 22807, 1975, 3224, 3714, 43020, 20666, 3615, 4117, 3794, 29739, 3794, 9566, 15844, 29739, 3794, 9566, 1975, 2655, 1863, 9957, 15844, 36764, 24401, 7251, 3794, 995, 45865, 1975, 25513, 3615, 15844, 1975, 2655, 1863, 9957, 5296, 28814, 1863, 1975, 2655, 1863, 9957, 15844, 36764, 24401, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 4032, 9640, 3555, 3615, 15844, 1975, 2655, 1863, 9957, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 50113, 6027, 19753, 34740, 44945, 39648, 29739, 3794, 9566, 15844, 29739, 3794, 9566, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 15844, 8608, 2655, 3714, 43020, 20666, 3615, 4117, 3794, 8717, 2304, 8592, 1829, 22807, 1975, 3224, 3714, 43020], "avg_logprob": -0.09765624800106375, "compression_ratio": 3.222857142857143, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 1098.09, "end": 1098.39, "word": "لو", "probability": 0.6654052734375}, {"start": 1098.39, "end": 1098.87, "word": " قلنا", "probability": 0.8154296875}, {"start": 1098.87, "end": 1099.89, "word": " البسط", "probability": 0.5376790364583334}, {"start": 1099.89, "end": 1100.07, "word": " على", "probability": 0.7177734375}, {"start": 1100.07, "end": 1100.55, "word": " البسط", "probability": 0.94580078125}, {"start": 1100.55, "end": 1100.73, "word": " هنا", "probability": 0.564453125}, {"start": 1100.73, "end": 1101.19, "word": " واحد", "probability": 0.957275390625}, {"start": 1101.19, "end": 1101.41, "word": " على", "probability": 0.87841796875}, {"start": 1101.41, "end": 1101.81, "word": " اتنين", "probability": 0.9637451171875}, {"start": 1101.81, "end": 1102.73, "word": " يساوي", "probability": 0.8531494140625}, {"start": 1102.73, "end": 1103.07, "word": " اتنين", "probability": 0.97802734375}, {"start": 1103.07, "end": 1103.25, "word": " على", "probability": 0.9150390625}, {"start": 1103.25, "end": 1103.71, "word": " اربع", "probability": 0.8619791666666666}, {"start": 1103.71, "end": 1104.13, "word": " طب", "probability": 0.68603515625}, {"start": 1104.13, "end": 1104.37, "word": " ممكن", "probability": 0.95654296875}, {"start": 1104.37, "end": 1104.61, "word": " انسان", "probability": 0.74609375}, {"start": 1104.61, "end": 1104.81, "word": " يقول", "probability": 0.991455078125}, {"start": 1104.81, "end": 1105.15, "word": " ممكن", "probability": 0.965576171875}, {"start": 1105.15, "end": 1105.81, "word": " بالعكس؟", "probability": 0.912109375}, {"start": 1105.81, "end": 1105.93, "word": " اه", "probability": 0.82763671875}, {"start": 1105.93, "end": 1106.21, "word": " ممكن", "probability": 0.986572265625}, {"start": 1106.21, "end": 1106.67, "word": " بالعكس", "probability": 0.9979248046875}, {"start": 1106.67, "end": 1107.23, "word": " البسط", "probability": 0.943359375}, {"start": 1107.23, "end": 1107.41, "word": " على", "probability": 0.93408203125}, {"start": 1107.41, "end": 1107.83, "word": " البسط", "probability": 0.9934895833333334}, {"start": 1107.83, "end": 1108.27, "word": " اتنين", "probability": 0.9666748046875}, {"start": 1108.27, "end": 1108.47, "word": " على", "probability": 0.87255859375}, {"start": 1108.47, "end": 1109.03, "word": " واحد", "probability": 0.994384765625}, {"start": 1109.03, "end": 1109.99, "word": " يساوي", "probability": 0.9814453125}, {"start": 1109.99, "end": 1110.47, "word": " اربع", "probability": 0.9501953125}, {"start": 1110.47, "end": 1110.71, "word": " على", "probability": 0.8671875}, {"start": 1110.71, "end": 1111.03, "word": " اتنين", "probability": 0.98974609375}, {"start": 1111.03, "end": 1111.27, "word": " لإن", "probability": 0.7486979166666666}, {"start": 1111.27, "end": 1111.95, "word": " اتنين", "probability": 0.9627685546875}, {"start": 1111.95, "end": 1112.11, "word": " على", "probability": 0.9287109375}, {"start": 1112.11, "end": 1112.41, "word": " واحد", "probability": 0.990966796875}, {"start": 1112.41, "end": 1112.77, "word": " يساوي", "probability": 0.9671630859375}, {"start": 1112.77, "end": 1113.15, "word": " اتنين", "probability": 0.992919921875}, {"start": 1113.15, "end": 1113.73, "word": " واربع", "probability": 0.923583984375}, {"start": 1113.73, "end": 1113.91, "word": " على", "probability": 0.91943359375}, {"start": 1113.91, "end": 1114.23, "word": " اتنين", "probability": 0.990966796875}, {"start": 1114.23, "end": 1114.67, "word": " يساوي", "probability": 0.972900390625}, {"start": 1114.67, "end": 1115.03, "word": " اتنين", "probability": 0.9937744140625}, {"start": 1115.03, "end": 1115.79, "word": " مثال", "probability": 0.778076171875}, {"start": 1115.79, "end": 1116.15, "word": " آخر", "probability": 0.793701171875}, {"start": 1116.15, "end": 1116.59, "word": " بنقول", "probability": 0.7666015625}, {"start": 1116.59, "end": 1117.09, "word": " البسط", "probability": 0.98046875}, {"start": 1117.09, "end": 1117.25, "word": " على", "probability": 0.9619140625}, {"start": 1117.25, "end": 1117.67, "word": " البسط", "probability": 0.99267578125}, {"start": 1117.67, "end": 1118.15, "word": " واحد", "probability": 0.97900390625}, {"start": 1118.15, "end": 1118.37, "word": " على", "probability": 0.9326171875}, {"start": 1118.37, "end": 1118.85, "word": " اتنين", "probability": 0.9932861328125}, {"start": 1118.85, "end": 1119.71, "word": " يساوي", "probability": 0.9744873046875}, {"start": 1119.71, "end": 1120.19, "word": " تلاتة", "probability": 0.9603271484375}, {"start": 1120.19, "end": 1120.37, "word": " على", "probability": 0.90576171875}, {"start": 1120.37, "end": 1120.73, "word": " ست", "probability": 0.972412109375}, {"start": 1120.73, "end": 1121.43, "word": " ممكن", "probability": 0.953857421875}, {"start": 1121.43, "end": 1121.89, "word": " بالعكس", "probability": 0.9981689453125}, {"start": 1121.89, "end": 1122.33, "word": " نمشي؟", "probability": 0.951953125}, {"start": 1122.33, "end": 1122.45, "word": " اه", "probability": 0.92578125}, {"start": 1122.45, "end": 1122.77, "word": " ممكن", "probability": 0.987060546875}], "temperature": 1.0}, {"id": 48, "seek": 114558, "start": 1123.1, "end": 1145.58, "text": "Two over one equals six over three, because two over one equals two, and six over three equals two So, in calculus, one over one equals one over one, or vice versa, one over one, whether we go from right to left or from left to right, one over one equals one over one", "tokens": [33594, 670, 472, 6915, 2309, 670, 1045, 11, 570, 732, 670, 472, 6915, 732, 11, 293, 2309, 670, 1045, 6915, 732, 407, 11, 294, 33400, 11, 472, 670, 472, 6915, 472, 670, 472, 11, 420, 11964, 25650, 11, 472, 670, 472, 11, 1968, 321, 352, 490, 558, 281, 1411, 420, 490, 1411, 281, 558, 11, 472, 670, 472, 6915, 472, 670, 472], "avg_logprob": -0.3648313605596149, "compression_ratio": 2.153225806451613, "no_speech_prob": 2.682209014892578e-06, "words": [{"start": 1123.1, "end": 1123.7, "word": "Two", "probability": 0.477783203125}, {"start": 1123.7, "end": 1123.98, "word": " over", "probability": 0.264892578125}, {"start": 1123.98, "end": 1124.46, "word": " one", "probability": 0.947265625}, {"start": 1124.46, "end": 1125.48, "word": " equals", "probability": 0.67333984375}, {"start": 1125.48, "end": 1126.22, "word": " six", "probability": 0.83251953125}, {"start": 1126.22, "end": 1126.42, "word": " over", "probability": 0.29296875}, {"start": 1126.42, "end": 1126.66, "word": " three,", "probability": 0.94384765625}, {"start": 1126.76, "end": 1126.92, "word": " because", "probability": 0.9052734375}, {"start": 1126.92, "end": 1127.22, "word": " two", "probability": 0.9208984375}, {"start": 1127.22, "end": 1127.36, "word": " over", "probability": 0.89306640625}, {"start": 1127.36, "end": 1127.66, "word": " one", "probability": 0.93505859375}, {"start": 1127.66, "end": 1128.0, "word": " equals", "probability": 0.822265625}, {"start": 1128.0, "end": 1128.42, "word": " two,", "probability": 0.94189453125}, {"start": 1128.54, "end": 1128.66, "word": " and", "probability": 0.91015625}, {"start": 1128.66, "end": 1128.9, "word": " six", "probability": 0.9296875}, {"start": 1128.9, "end": 1129.08, "word": " over", "probability": 0.9248046875}, {"start": 1129.08, "end": 1129.36, "word": " three", "probability": 0.91650390625}, {"start": 1129.36, "end": 1129.82, "word": " equals", "probability": 0.921875}, {"start": 1129.82, "end": 1130.34, "word": " two", "probability": 0.9482421875}, {"start": 1130.34, "end": 1130.96, "word": " So,", "probability": 0.62744140625}, {"start": 1131.14, "end": 1131.24, "word": " in", "probability": 0.85986328125}, {"start": 1131.24, "end": 1131.78, "word": " calculus,", "probability": 0.051239013671875}, {"start": 1132.24, "end": 1132.46, "word": " one", "probability": 0.07855224609375}, {"start": 1132.46, "end": 1132.9, "word": " over", "probability": 0.67724609375}, {"start": 1132.9, "end": 1133.42, "word": " one", "probability": 0.92822265625}, {"start": 1133.42, "end": 1134.42, "word": " equals", "probability": 0.7431640625}, {"start": 1134.42, "end": 1134.7, "word": " one", "probability": 0.497802734375}, {"start": 1134.7, "end": 1135.14, "word": " over", "probability": 0.75830078125}, {"start": 1135.14, "end": 1135.62, "word": " one,", "probability": 0.93896484375}, {"start": 1135.78, "end": 1136.4, "word": " or", "probability": 0.95849609375}, {"start": 1136.4, "end": 1137.32, "word": " vice", "probability": 0.73388671875}, {"start": 1137.32, "end": 1137.4, "word": " versa,", "probability": 0.828125}, {"start": 1137.58, "end": 1137.76, "word": " one", "probability": 0.8935546875}, {"start": 1137.76, "end": 1138.2, "word": " over", "probability": 0.9267578125}, {"start": 1138.2, "end": 1138.62, "word": " one,", "probability": 0.93505859375}, {"start": 1138.82, "end": 1139.0, "word": " whether", "probability": 0.323486328125}, {"start": 1139.0, "end": 1139.98, "word": " we", "probability": 0.7236328125}, {"start": 1139.98, "end": 1140.0, "word": " go", "probability": 0.7490234375}, {"start": 1140.0, "end": 1140.14, "word": " from", "probability": 0.7822265625}, {"start": 1140.14, "end": 1140.48, "word": " right", "probability": 0.77392578125}, {"start": 1140.48, "end": 1140.7, "word": " to", "probability": 0.9794921875}, {"start": 1140.7, "end": 1141.18, "word": " left", "probability": 0.96728515625}, {"start": 1141.18, "end": 1141.46, "word": " or", "probability": 0.66357421875}, {"start": 1141.46, "end": 1141.64, "word": " from", "probability": 0.80517578125}, {"start": 1141.64, "end": 1142.0, "word": " left", "probability": 0.95703125}, {"start": 1142.0, "end": 1142.32, "word": " to", "probability": 0.974609375}, {"start": 1142.32, "end": 1142.74, "word": " right,", "probability": 0.921875}, {"start": 1143.16, "end": 1143.54, "word": " one", "probability": 0.923828125}, {"start": 1143.54, "end": 1143.78, "word": " over", "probability": 0.93408203125}, {"start": 1143.78, "end": 1144.12, "word": " one", "probability": 0.9326171875}, {"start": 1144.12, "end": 1144.48, "word": " equals", "probability": 0.84033203125}, {"start": 1144.48, "end": 1144.82, "word": " one", "probability": 0.9306640625}, {"start": 1144.82, "end": 1145.22, "word": " over", "probability": 0.9296875}, {"start": 1145.22, "end": 1145.58, "word": " one", "probability": 0.93896484375}], "temperature": 1.0}, {"id": 49, "seek": 117370, "start": 1146.22, "end": 1173.7, "text": "or مقام على مقام يساوي bust على bust نرجع لقصتنا بنقول ال bust على ال bust image height على object height يساوي image distance على object distance هذه الكلام اللي أنا بحكيه رتبنا لإنه ال image height اللي هو ال bust على object height ال bust في ناحية تانية يساوي image distance على object distance طيب إيش هو ال image height على ال object height؟", "tokens": [284, 3714, 4587, 10943, 15844, 3714, 4587, 10943, 7251, 3794, 995, 45865, 19432, 15844, 19432, 8717, 47341, 3615, 5296, 4587, 9381, 2655, 8315, 44945, 39648, 2423, 19432, 15844, 2423, 19432, 3256, 6681, 15844, 2657, 6681, 7251, 3794, 995, 45865, 3256, 4560, 15844, 2657, 4560, 29538, 2423, 28820, 10943, 13672, 1829, 41850, 4724, 5016, 4117, 1829, 3224, 12602, 2655, 3555, 8315, 5296, 28814, 1863, 3224, 2423, 3256, 6681, 13672, 1829, 31439, 2423, 19432, 15844, 2657, 6681, 2423, 19432, 8978, 8717, 39319, 10632, 6055, 7649, 10632, 7251, 3794, 995, 45865, 3256, 4560, 15844, 2657, 4560, 23032, 1829, 3555, 11933, 1829, 8592, 31439, 2423, 3256, 6681, 15844, 2423, 2657, 6681, 22807], "avg_logprob": -0.21875000710881085, "compression_ratio": 2.325242718446602, "no_speech_prob": 1.1324882507324219e-06, "words": [{"start": 1146.22, "end": 1146.52, "word": "or", "probability": 0.38037109375}, {"start": 1146.52, "end": 1147.02, "word": " مقام", "probability": 0.676513671875}, {"start": 1147.02, "end": 1147.2, "word": " على", "probability": 0.5927734375}, {"start": 1147.2, "end": 1147.74, "word": " مقام", "probability": 0.9806315104166666}, {"start": 1147.74, "end": 1148.14, "word": " يساوي", "probability": 0.805419921875}, {"start": 1148.14, "end": 1148.5, "word": " bust", "probability": 0.1370849609375}, {"start": 1148.5, "end": 1148.72, "word": " على", "probability": 0.56884765625}, {"start": 1148.72, "end": 1149.02, "word": " bust", "probability": 0.9111328125}, {"start": 1149.02, "end": 1149.5, "word": " نرجع", "probability": 0.8076171875}, {"start": 1149.5, "end": 1150.6, "word": " لقصتنا", "probability": 0.9734375}, {"start": 1150.6, "end": 1151.44, "word": " بنقول", "probability": 0.695068359375}, {"start": 1151.44, "end": 1152.22, "word": " ال", "probability": 0.6376953125}, {"start": 1152.22, "end": 1152.64, "word": " bust", "probability": 0.54638671875}, {"start": 1152.64, "end": 1153.66, "word": " على", "probability": 0.92822265625}, {"start": 1153.66, "end": 1153.86, "word": " ال", "probability": 0.86181640625}, {"start": 1153.86, "end": 1154.22, "word": " bust", "probability": 0.802734375}, {"start": 1154.22, "end": 1154.9, "word": " image", "probability": 0.79248046875}, {"start": 1154.9, "end": 1155.4, "word": " height", "probability": 0.7265625}, {"start": 1155.4, "end": 1155.64, "word": " على", "probability": 0.88330078125}, {"start": 1155.64, "end": 1156.04, "word": " object", "probability": 0.9912109375}, {"start": 1156.04, "end": 1156.48, "word": " height", "probability": 0.9638671875}, {"start": 1156.48, "end": 1157.24, "word": " يساوي", "probability": 0.951416015625}, {"start": 1157.24, "end": 1157.66, "word": " image", "probability": 0.94140625}, {"start": 1157.66, "end": 1158.22, "word": " distance", "probability": 0.9482421875}, {"start": 1158.22, "end": 1158.42, "word": " على", "probability": 0.9091796875}, {"start": 1158.42, "end": 1158.72, "word": " object", "probability": 0.9892578125}, {"start": 1158.72, "end": 1159.3, "word": " distance", "probability": 0.9501953125}, {"start": 1159.3, "end": 1159.58, "word": " هذه", "probability": 0.299072265625}, {"start": 1159.58, "end": 1160.08, "word": " الكلام", "probability": 0.970703125}, {"start": 1160.08, "end": 1160.22, "word": " اللي", "probability": 0.97607421875}, {"start": 1160.22, "end": 1160.38, "word": " أنا", "probability": 0.65625}, {"start": 1160.38, "end": 1160.84, "word": " بحكيه", "probability": 0.90673828125}, {"start": 1160.84, "end": 1161.34, "word": " رتبنا", "probability": 0.904296875}, {"start": 1161.34, "end": 1161.76, "word": " لإنه", "probability": 0.7325439453125}, {"start": 1161.76, "end": 1161.94, "word": " ال", "probability": 0.494384765625}, {"start": 1161.94, "end": 1162.3, "word": " image", "probability": 0.95556640625}, {"start": 1162.3, "end": 1162.7, "word": " height", "probability": 0.94482421875}, {"start": 1162.7, "end": 1163.26, "word": " اللي", "probability": 0.981689453125}, {"start": 1163.26, "end": 1163.32, "word": " هو", "probability": 0.98876953125}, {"start": 1163.32, "end": 1163.44, "word": " ال", "probability": 0.97509765625}, {"start": 1163.44, "end": 1163.74, "word": " bust", "probability": 0.8115234375}, {"start": 1163.74, "end": 1164.54, "word": " على", "probability": 0.89501953125}, {"start": 1164.54, "end": 1164.92, "word": " object", "probability": 0.97900390625}, {"start": 1164.92, "end": 1165.38, "word": " height", "probability": 0.970703125}, {"start": 1165.38, "end": 1165.8, "word": " ال", "probability": 0.84912109375}, {"start": 1165.8, "end": 1166.04, "word": " bust", "probability": 0.7060546875}, {"start": 1166.04, "end": 1166.2, "word": " في", "probability": 0.8837890625}, {"start": 1166.2, "end": 1166.5, "word": " ناحية", "probability": 0.7320963541666666}, {"start": 1166.5, "end": 1166.9, "word": " تانية", "probability": 0.7375895182291666}, {"start": 1166.9, "end": 1167.42, "word": " يساوي", "probability": 0.96435546875}, {"start": 1167.42, "end": 1167.78, "word": " image", "probability": 0.94189453125}, {"start": 1167.78, "end": 1168.4, "word": " distance", "probability": 0.9423828125}, {"start": 1168.4, "end": 1169.68, "word": " على", "probability": 0.95263671875}, {"start": 1169.68, "end": 1170.08, "word": " object", "probability": 0.98876953125}, {"start": 1170.08, "end": 1170.7, "word": " distance", "probability": 0.94921875}, {"start": 1170.7, "end": 1171.2, "word": " طيب", "probability": 0.8396809895833334}, {"start": 1171.2, "end": 1171.72, "word": " إيش", "probability": 0.76318359375}, {"start": 1171.72, "end": 1171.92, "word": " هو", "probability": 0.966796875}, {"start": 1171.92, "end": 1172.06, "word": " ال", "probability": 0.96337890625}, {"start": 1172.06, "end": 1172.32, "word": " image", "probability": 0.96484375}, {"start": 1172.32, "end": 1172.6, "word": " height", "probability": 0.9619140625}, {"start": 1172.6, "end": 1172.78, "word": " على", "probability": 0.91650390625}, {"start": 1172.78, "end": 1172.92, "word": " ال", "probability": 0.982421875}, {"start": 1172.92, "end": 1173.24, "word": " object", "probability": 0.9638671875}, {"start": 1173.24, "end": 1173.7, "word": " height؟", "probability": 0.903564453125}], "temperature": 1.0}, {"id": 50, "seek": 120120, "start": 1174.18, "end": 1201.2, "text": "which is the transference magnification image height is the ratio of the height of the image when we divide it by the height of the object which is the image height over the object height the image height over the object height equals we reached this point that the image height over the object height equals the image distance over the object distance we know from the previous lecture that the image height over the object height equals the transference magnification", "tokens": [13690, 307, 264, 5003, 655, 4944, 3774, 3256, 6681, 307, 264, 8509, 295, 264, 6681, 295, 264, 3256, 562, 321, 9845, 309, 538, 264, 6681, 295, 264, 2657, 597, 307, 264, 3256, 6681, 670, 264, 2657, 6681, 264, 3256, 6681, 670, 264, 2657, 6681, 6915, 321, 6488, 341, 935, 300, 264, 3256, 6681, 670, 264, 2657, 6681, 6915, 264, 3256, 4560, 670, 264, 2657, 4560, 321, 458, 490, 264, 3894, 7991, 300, 264, 3256, 6681, 670, 264, 2657, 6681, 6915, 264, 5003, 655, 4944, 3774], "avg_logprob": -0.33430232038331587, "compression_ratio": 2.8950617283950617, "no_speech_prob": 4.357099533081055e-05, "words": [{"start": 1174.18, "end": 1174.42, "word": "which", "probability": 0.422119140625}, {"start": 1174.42, "end": 1174.56, "word": " is", "probability": 0.8408203125}, {"start": 1174.56, "end": 1174.66, "word": " the", "probability": 0.45654296875}, {"start": 1174.66, "end": 1175.26, "word": " transference", "probability": 0.39599609375}, {"start": 1175.26, "end": 1175.92, "word": " magnification", "probability": 0.920654296875}, {"start": 1175.92, "end": 1176.76, "word": " image", "probability": 0.24169921875}, {"start": 1176.76, "end": 1177.08, "word": " height", "probability": 0.77490234375}, {"start": 1177.08, "end": 1177.78, "word": " is", "probability": 0.144287109375}, {"start": 1177.78, "end": 1177.78, "word": " the", "probability": 0.73583984375}, {"start": 1177.78, "end": 1178.26, "word": " ratio", "probability": 0.39794921875}, {"start": 1178.26, "end": 1178.46, "word": " of", "probability": 0.8779296875}, {"start": 1178.46, "end": 1178.6, "word": " the", "probability": 0.50146484375}, {"start": 1178.6, "end": 1178.78, "word": " height", "probability": 0.491455078125}, {"start": 1178.78, "end": 1178.98, "word": " of", "probability": 0.93701171875}, {"start": 1178.98, "end": 1179.02, "word": " the", "probability": 0.7265625}, {"start": 1179.02, "end": 1179.3, "word": " image", "probability": 0.6279296875}, {"start": 1179.3, "end": 1179.94, "word": " when", "probability": 0.455322265625}, {"start": 1179.94, "end": 1180.14, "word": " we", "probability": 0.58740234375}, {"start": 1180.14, "end": 1180.4, "word": " divide", "probability": 0.70654296875}, {"start": 1180.4, "end": 1180.6, "word": " it", "probability": 0.7802734375}, {"start": 1180.6, "end": 1180.76, "word": " by", "probability": 0.82958984375}, {"start": 1180.76, "end": 1180.86, "word": " the", "probability": 0.8251953125}, {"start": 1180.86, "end": 1181.08, "word": " height", "probability": 0.79833984375}, {"start": 1181.08, "end": 1181.2, "word": " of", "probability": 0.96728515625}, {"start": 1181.2, "end": 1181.26, "word": " the", "probability": 0.89501953125}, {"start": 1181.26, "end": 1181.66, "word": " object", "probability": 0.95263671875}, {"start": 1181.66, "end": 1181.86, "word": " which", "probability": 0.57421875}, {"start": 1181.86, "end": 1181.94, "word": " is", "probability": 0.89599609375}, {"start": 1181.94, "end": 1182.06, "word": " the", "probability": 0.348388671875}, {"start": 1182.06, "end": 1182.34, "word": " image", "probability": 0.94287109375}, {"start": 1182.34, "end": 1182.66, "word": " height", "probability": 0.90673828125}, {"start": 1182.66, "end": 1182.86, "word": " over", "probability": 0.43701171875}, {"start": 1182.86, "end": 1183.0, "word": " the", "probability": 0.78271484375}, {"start": 1183.0, "end": 1183.32, "word": " object", "probability": 0.97119140625}, {"start": 1183.32, "end": 1185.02, "word": " height", "probability": 0.9375}, {"start": 1185.02, "end": 1186.34, "word": " the", "probability": 0.27392578125}, {"start": 1186.34, "end": 1186.76, "word": " image", "probability": 0.93701171875}, {"start": 1186.76, "end": 1187.12, "word": " height", "probability": 0.93603515625}, {"start": 1187.12, "end": 1187.3, "word": " over", "probability": 0.83251953125}, {"start": 1187.3, "end": 1187.46, "word": " the", "probability": 0.8916015625}, {"start": 1187.46, "end": 1187.82, "word": " object", "probability": 0.96923828125}, {"start": 1187.82, "end": 1188.2, "word": " height", "probability": 0.9560546875}, {"start": 1188.2, "end": 1188.68, "word": " equals", "probability": 0.390625}, {"start": 1188.68, "end": 1188.8, "word": " we", "probability": 0.302978515625}, {"start": 1188.8, "end": 1189.06, "word": " reached", "probability": 0.2958984375}, {"start": 1189.06, "end": 1189.56, "word": " this", "probability": 0.8095703125}, {"start": 1189.56, "end": 1190.04, "word": " point", "probability": 0.94091796875}, {"start": 1190.04, "end": 1190.28, "word": " that", "probability": 0.703125}, {"start": 1190.28, "end": 1190.42, "word": " the", "probability": 0.66064453125}, {"start": 1190.42, "end": 1190.7, "word": " image", "probability": 0.93017578125}, {"start": 1190.7, "end": 1190.96, "word": " height", "probability": 0.9345703125}, {"start": 1190.96, "end": 1191.08, "word": " over", "probability": 0.81396484375}, {"start": 1191.08, "end": 1191.18, "word": " the", "probability": 0.86865234375}, {"start": 1191.18, "end": 1191.46, "word": " object", "probability": 0.96826171875}, {"start": 1191.46, "end": 1191.84, "word": " height", "probability": 0.96142578125}, {"start": 1191.84, "end": 1192.48, "word": " equals", "probability": 0.66552734375}, {"start": 1192.48, "end": 1192.72, "word": " the", "probability": 0.822265625}, {"start": 1192.72, "end": 1192.98, "word": " image", "probability": 0.89599609375}, {"start": 1192.98, "end": 1193.54, "word": " distance", "probability": 0.94580078125}, {"start": 1193.54, "end": 1193.72, "word": " over", "probability": 0.8603515625}, {"start": 1193.72, "end": 1193.8, "word": " the", "probability": 0.896484375}, {"start": 1193.8, "end": 1194.04, "word": " object", "probability": 0.9736328125}, {"start": 1194.04, "end": 1194.66, "word": " distance", "probability": 0.93994140625}, {"start": 1194.66, "end": 1195.12, "word": " we", "probability": 0.2406005859375}, {"start": 1195.12, "end": 1195.54, "word": " know", "probability": 0.73681640625}, {"start": 1195.54, "end": 1195.8, "word": " from", "probability": 0.8349609375}, {"start": 1195.8, "end": 1195.94, "word": " the", "probability": 0.8544921875}, {"start": 1195.94, "end": 1196.68, "word": " previous", "probability": 0.833984375}, {"start": 1196.68, "end": 1196.68, "word": " lecture", "probability": 0.8935546875}, {"start": 1196.68, "end": 1197.02, "word": " that", "probability": 0.9306640625}, {"start": 1197.02, "end": 1197.2, "word": " the", "probability": 0.826171875}, {"start": 1197.2, "end": 1197.52, "word": " image", "probability": 0.92822265625}, {"start": 1197.52, "end": 1197.78, "word": " height", "probability": 0.94921875}, {"start": 1197.78, "end": 1197.9, "word": " over", "probability": 0.8779296875}, {"start": 1197.9, "end": 1198.04, "word": " the", "probability": 0.9111328125}, {"start": 1198.04, "end": 1198.4, "word": " object", "probability": 0.97314453125}, {"start": 1198.4, "end": 1198.76, "word": " height", "probability": 0.9814453125}, {"start": 1198.76, "end": 1199.54, "word": " equals", "probability": 0.7626953125}, {"start": 1199.54, "end": 1199.76, "word": " the", "probability": 0.77783203125}, {"start": 1199.76, "end": 1200.4, "word": " transference", "probability": 0.965576171875}, {"start": 1200.4, "end": 1201.2, "word": " magnification", "probability": 0.960693359375}], "temperature": 1.0}, {"id": 51, "seek": 122966, "start": 1202.78, "end": 1229.66, "text": "The nodal points helped me to reach the transference magnification not only in heights but also in distances In other words, let's say I have an example and we tell someone to look at this example and bring us the transference magnification How big is the image compared to the object, okay? And what is the height of the object?", "tokens": [2278, 15224, 304, 2793, 4254, 385, 281, 2524, 264, 5003, 655, 4944, 3774, 406, 787, 294, 25930, 457, 611, 294, 22182, 682, 661, 2283, 11, 718, 311, 584, 286, 362, 364, 1365, 293, 321, 980, 1580, 281, 574, 412, 341, 1365, 293, 1565, 505, 264, 5003, 655, 4944, 3774, 1012, 955, 307, 264, 3256, 5347, 281, 264, 2657, 11, 1392, 30, 400, 437, 307, 264, 6681, 295, 264, 2657, 30], "avg_logprob": -0.45554577045037714, "compression_ratio": 1.6785714285714286, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1202.78, "end": 1203.12, "word": "The", "probability": 0.43310546875}, {"start": 1203.12, "end": 1203.56, "word": " nodal", "probability": 0.97802734375}, {"start": 1203.56, "end": 1203.94, "word": " points", "probability": 0.75390625}, {"start": 1203.94, "end": 1204.44, "word": " helped", "probability": 0.76513671875}, {"start": 1204.44, "end": 1205.14, "word": " me", "probability": 0.96484375}, {"start": 1205.14, "end": 1205.66, "word": " to", "probability": 0.71630859375}, {"start": 1205.66, "end": 1206.4, "word": " reach", "probability": 0.53662109375}, {"start": 1206.4, "end": 1206.76, "word": " the", "probability": 0.3642578125}, {"start": 1206.76, "end": 1207.5, "word": " transference", "probability": 0.71142578125}, {"start": 1207.5, "end": 1208.3, "word": " magnification", "probability": 0.95068359375}, {"start": 1208.3, "end": 1209.0, "word": " not", "probability": 0.529296875}, {"start": 1209.0, "end": 1209.3, "word": " only", "probability": 0.7529296875}, {"start": 1209.3, "end": 1209.46, "word": " in", "probability": 0.457275390625}, {"start": 1209.46, "end": 1210.02, "word": " heights", "probability": 0.42529296875}, {"start": 1210.02, "end": 1210.34, "word": " but", "probability": 0.330810546875}, {"start": 1210.34, "end": 1210.74, "word": " also", "probability": 0.86767578125}, {"start": 1210.74, "end": 1210.98, "word": " in", "probability": 0.798828125}, {"start": 1210.98, "end": 1211.44, "word": " distances", "probability": 0.79296875}, {"start": 1211.44, "end": 1212.04, "word": " In", "probability": 0.256103515625}, {"start": 1212.04, "end": 1212.82, "word": " other", "probability": 0.73095703125}, {"start": 1212.82, "end": 1212.82, "word": " words,", "probability": 0.86181640625}, {"start": 1213.0, "end": 1213.28, "word": " let's", "probability": 0.6026611328125}, {"start": 1213.28, "end": 1213.36, "word": " say", "probability": 0.81103515625}, {"start": 1213.36, "end": 1213.36, "word": " I", "probability": 0.85546875}, {"start": 1213.36, "end": 1213.56, "word": " have", "probability": 0.85400390625}, {"start": 1213.56, "end": 1213.72, "word": " an", "probability": 0.58203125}, {"start": 1213.72, "end": 1214.02, "word": " example", "probability": 0.51025390625}, {"start": 1214.02, "end": 1214.72, "word": " and", "probability": 0.5791015625}, {"start": 1214.72, "end": 1215.02, "word": " we", "probability": 0.58642578125}, {"start": 1215.02, "end": 1215.02, "word": " tell", "probability": 0.2425537109375}, {"start": 1215.02, "end": 1215.56, "word": " someone", "probability": 0.58349609375}, {"start": 1215.56, "end": 1215.94, "word": " to", "probability": 0.43017578125}, {"start": 1215.94, "end": 1216.6, "word": " look", "probability": 0.81494140625}, {"start": 1216.6, "end": 1216.8, "word": " at", "probability": 0.89501953125}, {"start": 1216.8, "end": 1217.06, "word": " this", "probability": 0.75}, {"start": 1217.06, "end": 1217.56, "word": " example", "probability": 0.8056640625}, {"start": 1217.56, "end": 1218.52, "word": " and", "probability": 0.87548828125}, {"start": 1218.52, "end": 1219.28, "word": " bring", "probability": 0.4306640625}, {"start": 1219.28, "end": 1219.54, "word": " us", "probability": 0.59130859375}, {"start": 1219.54, "end": 1219.72, "word": " the", "probability": 0.544921875}, {"start": 1219.72, "end": 1220.38, "word": " transference", "probability": 0.968017578125}, {"start": 1220.38, "end": 1221.2, "word": " magnification", "probability": 0.9716796875}, {"start": 1221.2, "end": 1221.86, "word": " How", "probability": 0.404296875}, {"start": 1221.86, "end": 1222.38, "word": " big", "probability": 0.5576171875}, {"start": 1222.38, "end": 1222.84, "word": " is", "probability": 0.69873046875}, {"start": 1222.84, "end": 1222.88, "word": " the", "probability": 0.75830078125}, {"start": 1222.88, "end": 1223.62, "word": " image", "probability": 0.407470703125}, {"start": 1223.62, "end": 1224.26, "word": " compared", "probability": 0.6923828125}, {"start": 1224.26, "end": 1224.52, "word": " to", "probability": 0.88232421875}, {"start": 1224.52, "end": 1224.72, "word": " the", "probability": 0.89990234375}, {"start": 1224.72, "end": 1225.16, "word": " object,", "probability": 0.9658203125}, {"start": 1225.42, "end": 1225.7, "word": " okay?", "probability": 0.29541015625}, {"start": 1226.12, "end": 1226.28, "word": " And", "probability": 0.64306640625}, {"start": 1226.28, "end": 1226.48, "word": " what", "probability": 0.509765625}, {"start": 1226.48, "end": 1226.56, "word": " is", "probability": 0.258544921875}, {"start": 1226.56, "end": 1227.04, "word": " the", "probability": 0.65673828125}, {"start": 1227.04, "end": 1227.44, "word": " height", "probability": 0.412841796875}, {"start": 1227.44, "end": 1228.78, "word": " of", "probability": 0.303955078125}, {"start": 1228.78, "end": 1229.32, "word": " the", "probability": 0.5458984375}, {"start": 1229.32, "end": 1229.66, "word": " object?", "probability": 0.837890625}], "temperature": 1.0}, {"id": 52, "seek": 124981, "start": 1229.85, "end": 1249.81, "text": "and gave us the height of the image but gave us the distances distance of the object and distance of the image we say transfers magnification equals image distance over object distance why did I use this? transfers magnification equals image distance over object distance", "tokens": [474, 2729, 505, 264, 6681, 295, 264, 3256, 457, 2729, 505, 264, 22182, 4560, 295, 264, 2657, 293, 4560, 295, 264, 3256, 321, 584, 29137, 4944, 3774, 6915, 3256, 4560, 670, 2657, 4560, 983, 630, 286, 764, 341, 30, 29137, 4944, 3774, 6915, 3256, 4560, 670, 2657, 4560], "avg_logprob": -0.37340562197626853, "compression_ratio": 2.221311475409836, "no_speech_prob": 3.5762786865234375e-06, "words": [{"start": 1229.85, "end": 1230.09, "word": "and", "probability": 0.338623046875}, {"start": 1230.09, "end": 1230.41, "word": " gave", "probability": 0.240966796875}, {"start": 1230.41, "end": 1230.63, "word": " us", "probability": 0.59375}, {"start": 1230.63, "end": 1230.71, "word": " the", "probability": 0.63232421875}, {"start": 1230.71, "end": 1230.95, "word": " height", "probability": 0.56982421875}, {"start": 1230.95, "end": 1231.07, "word": " of", "probability": 0.94580078125}, {"start": 1231.07, "end": 1231.13, "word": " the", "probability": 0.8330078125}, {"start": 1231.13, "end": 1231.35, "word": " image", "probability": 0.90869140625}, {"start": 1231.35, "end": 1231.87, "word": " but", "probability": 0.334228515625}, {"start": 1231.87, "end": 1232.21, "word": " gave", "probability": 0.52880859375}, {"start": 1232.21, "end": 1232.45, "word": " us", "probability": 0.85986328125}, {"start": 1232.45, "end": 1232.59, "word": " the", "probability": 0.7060546875}, {"start": 1232.59, "end": 1233.05, "word": " distances", "probability": 0.869140625}, {"start": 1233.05, "end": 1235.45, "word": " distance", "probability": 0.233154296875}, {"start": 1235.45, "end": 1235.85, "word": " of", "probability": 0.564453125}, {"start": 1235.85, "end": 1235.97, "word": " the", "probability": 0.61279296875}, {"start": 1235.97, "end": 1236.31, "word": " object", "probability": 0.931640625}, {"start": 1236.31, "end": 1236.51, "word": " and", "probability": 0.89501953125}, {"start": 1236.51, "end": 1236.83, "word": " distance", "probability": 0.81787109375}, {"start": 1236.83, "end": 1237.01, "word": " of", "probability": 0.96630859375}, {"start": 1237.01, "end": 1237.09, "word": " the", "probability": 0.90380859375}, {"start": 1237.09, "end": 1237.31, "word": " image", "probability": 0.9248046875}, {"start": 1237.31, "end": 1237.45, "word": " we", "probability": 0.5166015625}, {"start": 1237.45, "end": 1237.63, "word": " say", "probability": 0.71435546875}, {"start": 1237.63, "end": 1238.21, "word": " transfers", "probability": 0.2242431640625}, {"start": 1238.21, "end": 1239.33, "word": " magnification", "probability": 0.951904296875}, {"start": 1239.33, "end": 1239.91, "word": " equals", "probability": 0.494384765625}, {"start": 1239.91, "end": 1242.25, "word": " image", "probability": 0.83154296875}, {"start": 1242.25, "end": 1242.97, "word": " distance", "probability": 0.94287109375}, {"start": 1242.97, "end": 1243.63, "word": " over", "probability": 0.465087890625}, {"start": 1243.63, "end": 1244.07, "word": " object", "probability": 0.9423828125}, {"start": 1244.07, "end": 1244.65, "word": " distance", "probability": 0.931640625}, {"start": 1244.65, "end": 1245.25, "word": " why", "probability": 0.66796875}, {"start": 1245.25, "end": 1245.33, "word": " did", "probability": 0.681640625}, {"start": 1245.33, "end": 1245.47, "word": " I", "probability": 0.9228515625}, {"start": 1245.47, "end": 1245.91, "word": " use", "probability": 0.85009765625}, {"start": 1245.91, "end": 1246.23, "word": " this?", "probability": 0.63427734375}, {"start": 1246.31, "end": 1246.95, "word": " transfers", "probability": 0.299560546875}, {"start": 1246.95, "end": 1247.77, "word": " magnification", "probability": 0.96337890625}, {"start": 1247.77, "end": 1248.21, "word": " equals", "probability": 0.87548828125}, {"start": 1248.21, "end": 1248.59, "word": " image", "probability": 0.88134765625}, {"start": 1248.59, "end": 1249.01, "word": " distance", "probability": 0.9384765625}, {"start": 1249.01, "end": 1249.15, "word": " over", "probability": 0.87353515625}, {"start": 1249.15, "end": 1249.41, "word": " object", "probability": 0.96044921875}, {"start": 1249.41, "end": 1249.81, "word": " distance", "probability": 0.92236328125}], "temperature": 1.0}, {"id": 53, "seek": 126645, "start": 1250.05, "end": 1266.45, "text": "لأن الإرتفاعات بالنسبة إلي في المسألة ماحد أعطانيها وإنما أعطوني المسافات بأستطيع باستخدام المسافات إني أوجد ل transfers magnification .. إني أوجد ل transfers magnification وبالتالي ..", "tokens": [1211, 33456, 33688, 43500, 5172, 45761, 9307, 20666, 1863, 35457, 3660, 11933, 20292, 8978, 9673, 3794, 10721, 37977, 19446, 24401, 5551, 3615, 9566, 7649, 1829, 11296, 4032, 28814, 1863, 15042, 5551, 3615, 9566, 11536, 1829, 9673, 3794, 31845, 9307, 4724, 10721, 14851, 9566, 40228, 4724, 995, 14851, 9778, 3215, 10943, 9673, 3794, 31845, 9307, 11933, 22653, 5551, 29245, 3215, 5296, 29137, 4944, 3774, 4386, 11933, 22653, 5551, 29245, 3215, 5296, 29137, 4944, 3774, 4032, 3555, 6027, 2655, 6027, 1829, 4386], "avg_logprob": -0.15923997502268097, "compression_ratio": 1.7294117647058824, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 1250.05, "end": 1250.51, "word": "لأن", "probability": 0.52203369140625}, {"start": 1250.51, "end": 1251.55, "word": " الإرتفاعات", "probability": 0.827880859375}, {"start": 1251.55, "end": 1252.07, "word": " بالنسبة", "probability": 0.9364013671875}, {"start": 1252.07, "end": 1252.21, "word": " إلي", "probability": 0.70947265625}, {"start": 1252.21, "end": 1252.33, "word": " في", "probability": 0.9423828125}, {"start": 1252.33, "end": 1252.85, "word": " المسألة", "probability": 0.9486083984375}, {"start": 1252.85, "end": 1253.23, "word": " ماحد", "probability": 0.767822265625}, {"start": 1253.23, "end": 1253.91, "word": " أعطانيها", "probability": 0.9488118489583334}, {"start": 1253.91, "end": 1254.41, "word": " وإنما", "probability": 0.853271484375}, {"start": 1254.41, "end": 1254.95, "word": " أعطوني", "probability": 0.96943359375}, {"start": 1254.95, "end": 1255.63, "word": " المسافات", "probability": 0.9786376953125}, {"start": 1255.63, "end": 1256.99, "word": " بأستطيع", "probability": 0.88388671875}, {"start": 1256.99, "end": 1257.77, "word": " باستخدام", "probability": 0.96240234375}, {"start": 1257.77, "end": 1258.73, "word": " المسافات", "probability": 0.9898681640625}, {"start": 1258.73, "end": 1260.67, "word": " إني", "probability": 0.698974609375}, {"start": 1260.67, "end": 1261.29, "word": " أوجد", "probability": 0.8642578125}, {"start": 1261.29, "end": 1261.39, "word": " ل", "probability": 0.5966796875}, {"start": 1261.39, "end": 1262.07, "word": " transfers", "probability": 0.671875}, {"start": 1262.07, "end": 1263.29, "word": " magnification", "probability": 0.964111328125}, {"start": 1263.29, "end": 1263.47, "word": " ..", "probability": 0.556640625}, {"start": 1263.47, "end": 1263.67, "word": " إني", "probability": 0.754638671875}, {"start": 1263.67, "end": 1264.05, "word": " أوجد", "probability": 0.9744466145833334}, {"start": 1264.05, "end": 1264.17, "word": " ل", "probability": 0.9833984375}, {"start": 1264.17, "end": 1264.67, "word": " transfers", "probability": 0.96630859375}, {"start": 1264.67, "end": 1265.49, "word": " magnification", "probability": 0.982177734375}, {"start": 1265.49, "end": 1266.27, "word": " وبالتالي", "probability": 0.8826497395833334}, {"start": 1266.27, "end": 1266.45, "word": " ..", "probability": 0.9541015625}], "temperature": 1.0}, {"id": 54, "seek": 129269, "start": 1267.19, "end": 1292.69, "text": "and thus the nodal points helped me or through the nodal points I reached a new equation last time our equation was Transverse Magnification equals image height over object height and we said we drop a column from the top of the image to the optical axis and we drop a column from the top of the object to the optical axis and we calculate the height of the image and we divide it by height", "tokens": [474, 8807, 264, 15224, 304, 2793, 4254, 385, 420, 807, 264, 15224, 304, 2793, 286, 6488, 257, 777, 5367, 1036, 565, 527, 5367, 390, 6531, 4308, 19664, 3774, 6915, 3256, 6681, 670, 2657, 6681, 293, 321, 848, 321, 3270, 257, 7738, 490, 264, 1192, 295, 264, 3256, 281, 264, 20674, 10298, 293, 321, 3270, 257, 7738, 490, 264, 1192, 295, 264, 2657, 281, 264, 20674, 10298, 293, 321, 8873, 264, 6681, 295, 264, 3256, 293, 321, 9845, 309, 538, 6681], "avg_logprob": -0.36381174016881873, "compression_ratio": 2.0418848167539267, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 1267.19, "end": 1267.45, "word": "and", "probability": 0.253173828125}, {"start": 1267.45, "end": 1267.85, "word": " thus", "probability": 0.212646484375}, {"start": 1267.85, "end": 1269.97, "word": " the", "probability": 0.19384765625}, {"start": 1269.97, "end": 1270.33, "word": " nodal", "probability": 0.971435546875}, {"start": 1270.33, "end": 1270.67, "word": " points", "probability": 0.91162109375}, {"start": 1270.67, "end": 1270.67, "word": " helped", "probability": 0.7421875}, {"start": 1270.67, "end": 1270.67, "word": " me", "probability": 0.93896484375}, {"start": 1270.67, "end": 1270.87, "word": " or", "probability": 0.322998046875}, {"start": 1270.87, "end": 1271.19, "word": " through", "probability": 0.732421875}, {"start": 1271.19, "end": 1271.59, "word": " the", "probability": 0.430419921875}, {"start": 1271.59, "end": 1271.87, "word": " nodal", "probability": 0.979248046875}, {"start": 1271.87, "end": 1272.57, "word": " points", "probability": 0.9033203125}, {"start": 1272.57, "end": 1272.91, "word": " I", "probability": 0.7734375}, {"start": 1272.91, "end": 1273.17, "word": " reached", "probability": 0.5439453125}, {"start": 1273.17, "end": 1273.43, "word": " a", "probability": 0.84375}, {"start": 1273.43, "end": 1274.21, "word": " new", "probability": 0.892578125}, {"start": 1274.21, "end": 1274.21, "word": " equation", "probability": 0.97412109375}, {"start": 1274.21, "end": 1274.53, "word": " last", "probability": 0.1990966796875}, {"start": 1274.53, "end": 1275.07, "word": " time", "probability": 0.88916015625}, {"start": 1275.07, "end": 1275.49, "word": " our", "probability": 0.55517578125}, {"start": 1275.49, "end": 1275.89, "word": " equation", "probability": 0.96435546875}, {"start": 1275.89, "end": 1276.21, "word": " was", "probability": 0.66455078125}, {"start": 1276.21, "end": 1276.83, "word": " Transverse", "probability": 0.466064453125}, {"start": 1276.83, "end": 1277.61, "word": " Magnification", "probability": 0.847412109375}, {"start": 1277.61, "end": 1278.07, "word": " equals", "probability": 0.32080078125}, {"start": 1278.07, "end": 1278.59, "word": " image", "probability": 0.379150390625}, {"start": 1278.59, "end": 1278.97, "word": " height", "probability": 0.61865234375}, {"start": 1278.97, "end": 1279.17, "word": " over", "probability": 0.51123046875}, {"start": 1279.17, "end": 1279.59, "word": " object", "probability": 0.939453125}, {"start": 1279.59, "end": 1279.97, "word": " height", "probability": 0.93310546875}, {"start": 1279.97, "end": 1280.81, "word": " and", "probability": 0.79833984375}, {"start": 1280.81, "end": 1281.01, "word": " we", "probability": 0.8896484375}, {"start": 1281.01, "end": 1281.01, "word": " said", "probability": 0.56689453125}, {"start": 1281.01, "end": 1281.29, "word": " we", "probability": 0.45947265625}, {"start": 1281.29, "end": 1281.41, "word": " drop", "probability": 0.404296875}, {"start": 1281.41, "end": 1281.67, "word": " a", "probability": 0.80224609375}, {"start": 1281.67, "end": 1281.89, "word": " column", "probability": 0.50732421875}, {"start": 1281.89, "end": 1282.23, "word": " from", "probability": 0.857421875}, {"start": 1282.23, "end": 1282.59, "word": " the", "probability": 0.74951171875}, {"start": 1282.59, "end": 1282.81, "word": " top", "probability": 0.7705078125}, {"start": 1282.81, "end": 1283.01, "word": " of", "probability": 0.951171875}, {"start": 1283.01, "end": 1283.13, "word": " the", "probability": 0.89697265625}, {"start": 1283.13, "end": 1283.45, "word": " image", "probability": 0.91259765625}, {"start": 1283.45, "end": 1283.69, "word": " to", "probability": 0.9384765625}, {"start": 1283.69, "end": 1283.93, "word": " the", "probability": 0.9033203125}, {"start": 1283.93, "end": 1284.29, "word": " optical", "probability": 0.9306640625}, {"start": 1284.29, "end": 1284.91, "word": " axis", "probability": 0.94384765625}, {"start": 1284.91, "end": 1285.45, "word": " and", "probability": 0.82177734375}, {"start": 1285.45, "end": 1285.61, "word": " we", "probability": 0.449462890625}, {"start": 1285.61, "end": 1285.77, "word": " drop", "probability": 0.783203125}, {"start": 1285.77, "end": 1286.25, "word": " a", "probability": 0.95166015625}, {"start": 1286.25, "end": 1286.25, "word": " column", "probability": 0.818359375}, {"start": 1286.25, "end": 1286.49, "word": " from", "probability": 0.8759765625}, {"start": 1286.49, "end": 1287.25, "word": " the", "probability": 0.865234375}, {"start": 1287.25, "end": 1287.47, "word": " top", "probability": 0.84521484375}, {"start": 1287.47, "end": 1287.65, "word": " of", "probability": 0.9677734375}, {"start": 1287.65, "end": 1287.75, "word": " the", "probability": 0.92138671875}, {"start": 1287.75, "end": 1288.05, "word": " object", "probability": 0.95849609375}, {"start": 1288.05, "end": 1288.27, "word": " to", "probability": 0.9658203125}, {"start": 1288.27, "end": 1288.37, "word": " the", "probability": 0.91845703125}, {"start": 1288.37, "end": 1288.69, "word": " optical", "probability": 0.95263671875}, {"start": 1288.69, "end": 1289.15, "word": " axis", "probability": 0.95556640625}, {"start": 1289.15, "end": 1289.29, "word": " and", "probability": 0.8759765625}, {"start": 1289.29, "end": 1289.47, "word": " we", "probability": 0.79296875}, {"start": 1289.47, "end": 1289.77, "word": " calculate", "probability": 0.1177978515625}, {"start": 1289.77, "end": 1290.73, "word": " the", "probability": 0.875}, {"start": 1290.73, "end": 1291.03, "word": " height", "probability": 0.7412109375}, {"start": 1291.03, "end": 1291.21, "word": " of", "probability": 0.96826171875}, {"start": 1291.21, "end": 1291.29, "word": " the", "probability": 0.9169921875}, {"start": 1291.29, "end": 1291.53, "word": " image", "probability": 0.92724609375}, {"start": 1291.53, "end": 1291.71, "word": " and", "probability": 0.8759765625}, {"start": 1291.71, "end": 1291.81, "word": " we", "probability": 0.50341796875}, {"start": 1291.81, "end": 1292.01, "word": " divide", "probability": 0.7900390625}, {"start": 1292.01, "end": 1292.19, "word": " it", "probability": 0.76953125}, {"start": 1292.19, "end": 1292.27, "word": " by", "probability": 0.93798828125}, {"start": 1292.27, "end": 1292.69, "word": " height", "probability": 0.449951171875}], "temperature": 1.0}, {"id": 55, "seek": 131996, "start": 1293.04, "end": 1319.96, "text": "body and consequently I get transfers magnification Now, today we have a new equation that transfers magnification is equal to image distance over object distance I measure the distance of the image from the optical system, from the lens and I measure the distance of the object from the optical system, from the lens I divide the distance of the image by the distance of the object and I get transfers magnification One can ask that we have", "tokens": [1067, 293, 47259, 286, 483, 29137, 4944, 3774, 823, 11, 965, 321, 362, 257, 777, 5367, 300, 29137, 4944, 3774, 307, 2681, 281, 3256, 4560, 670, 2657, 4560, 286, 3481, 264, 4560, 295, 264, 3256, 490, 264, 20674, 1185, 11, 490, 264, 6765, 293, 286, 3481, 264, 4560, 295, 264, 2657, 490, 264, 20674, 1185, 11, 490, 264, 6765, 286, 9845, 264, 4560, 295, 264, 3256, 538, 264, 4560, 295, 264, 2657, 293, 286, 483, 29137, 4944, 3774, 1485, 393, 1029, 300, 321, 362], "avg_logprob": -0.33566175068126003, "compression_ratio": 2.4915254237288136, "no_speech_prob": 3.337860107421875e-06, "words": [{"start": 1293.04, "end": 1293.6, "word": "body", "probability": 0.358642578125}, {"start": 1293.6, "end": 1294.48, "word": " and", "probability": 0.58935546875}, {"start": 1294.48, "end": 1295.16, "word": " consequently", "probability": 0.1949462890625}, {"start": 1295.16, "end": 1295.38, "word": " I", "probability": 0.5576171875}, {"start": 1295.38, "end": 1295.54, "word": " get", "probability": 0.67626953125}, {"start": 1295.54, "end": 1296.38, "word": " transfers", "probability": 0.466552734375}, {"start": 1296.38, "end": 1297.28, "word": " magnification", "probability": 0.89599609375}, {"start": 1297.28, "end": 1298.02, "word": " Now,", "probability": 0.26904296875}, {"start": 1298.12, "end": 1298.46, "word": " today", "probability": 0.66650390625}, {"start": 1298.46, "end": 1298.74, "word": " we", "probability": 0.7412109375}, {"start": 1298.74, "end": 1299.02, "word": " have", "probability": 0.8876953125}, {"start": 1299.02, "end": 1299.2, "word": " a", "probability": 0.91552734375}, {"start": 1299.2, "end": 1299.88, "word": " new", "probability": 0.89013671875}, {"start": 1299.88, "end": 1299.88, "word": " equation", "probability": 0.6259765625}, {"start": 1299.88, "end": 1300.18, "word": " that", "probability": 0.307861328125}, {"start": 1300.18, "end": 1300.76, "word": " transfers", "probability": 0.80517578125}, {"start": 1300.76, "end": 1301.68, "word": " magnification", "probability": 0.966552734375}, {"start": 1301.68, "end": 1301.86, "word": " is", "probability": 0.378173828125}, {"start": 1301.86, "end": 1302.1, "word": " equal", "probability": 0.59033203125}, {"start": 1302.1, "end": 1302.18, "word": " to", "probability": 0.91943359375}, {"start": 1302.18, "end": 1302.46, "word": " image", "probability": 0.8681640625}, {"start": 1302.46, "end": 1302.94, "word": " distance", "probability": 0.94140625}, {"start": 1302.94, "end": 1303.16, "word": " over", "probability": 0.389892578125}, {"start": 1303.16, "end": 1303.52, "word": " object", "probability": 0.9189453125}, {"start": 1303.52, "end": 1304.04, "word": " distance", "probability": 0.9384765625}, {"start": 1304.04, "end": 1304.56, "word": " I", "probability": 0.59765625}, {"start": 1304.56, "end": 1304.72, "word": " measure", "probability": 0.5048828125}, {"start": 1304.72, "end": 1304.9, "word": " the", "probability": 0.76611328125}, {"start": 1304.9, "end": 1305.06, "word": " distance", "probability": 0.7646484375}, {"start": 1305.06, "end": 1305.28, "word": " of", "probability": 0.68359375}, {"start": 1305.28, "end": 1305.28, "word": " the", "probability": 0.87451171875}, {"start": 1305.28, "end": 1305.48, "word": " image", "probability": 0.63330078125}, {"start": 1305.48, "end": 1305.68, "word": " from", "probability": 0.85302734375}, {"start": 1305.68, "end": 1305.8, "word": " the", "probability": 0.86865234375}, {"start": 1305.8, "end": 1306.14, "word": " optical", "probability": 0.94287109375}, {"start": 1306.14, "end": 1306.7, "word": " system,", "probability": 0.94091796875}, {"start": 1306.76, "end": 1306.9, "word": " from", "probability": 0.83984375}, {"start": 1306.9, "end": 1307.02, "word": " the", "probability": 0.90869140625}, {"start": 1307.02, "end": 1307.32, "word": " lens", "probability": 0.828125}, {"start": 1307.32, "end": 1307.82, "word": " and", "probability": 0.66650390625}, {"start": 1307.82, "end": 1307.96, "word": " I", "probability": 0.70849609375}, {"start": 1307.96, "end": 1308.14, "word": " measure", "probability": 0.84912109375}, {"start": 1308.14, "end": 1308.36, "word": " the", "probability": 0.908203125}, {"start": 1308.36, "end": 1308.5, "word": " distance", "probability": 0.8916015625}, {"start": 1308.5, "end": 1308.66, "word": " of", "probability": 0.89501953125}, {"start": 1308.66, "end": 1308.76, "word": " the", "probability": 0.916015625}, {"start": 1308.76, "end": 1309.22, "word": " object", "probability": 0.96533203125}, {"start": 1309.22, "end": 1309.46, "word": " from", "probability": 0.85791015625}, {"start": 1309.46, "end": 1309.58, "word": " the", "probability": 0.91943359375}, {"start": 1309.58, "end": 1309.92, "word": " optical", "probability": 0.97509765625}, {"start": 1309.92, "end": 1310.42, "word": " system,", "probability": 0.95068359375}, {"start": 1310.54, "end": 1310.7, "word": " from", "probability": 0.255126953125}, {"start": 1310.7, "end": 1310.92, "word": " the", "probability": 0.92529296875}, {"start": 1310.92, "end": 1311.26, "word": " lens", "probability": 0.90478515625}, {"start": 1311.26, "end": 1311.7, "word": " I", "probability": 0.66552734375}, {"start": 1311.7, "end": 1312.14, "word": " divide", "probability": 0.7451171875}, {"start": 1312.14, "end": 1312.56, "word": " the", "probability": 0.88818359375}, {"start": 1312.56, "end": 1312.78, "word": " distance", "probability": 0.7001953125}, {"start": 1312.78, "end": 1312.92, "word": " of", "probability": 0.9501953125}, {"start": 1312.92, "end": 1313.0, "word": " the", "probability": 0.89990234375}, {"start": 1313.0, "end": 1313.28, "word": " image", "probability": 0.82568359375}, {"start": 1313.28, "end": 1313.58, "word": " by", "probability": 0.578125}, {"start": 1313.58, "end": 1313.76, "word": " the", "probability": 0.9150390625}, {"start": 1313.76, "end": 1313.9, "word": " distance", "probability": 0.83544921875}, {"start": 1313.9, "end": 1314.02, "word": " of", "probability": 0.96630859375}, {"start": 1314.02, "end": 1314.06, "word": " the", "probability": 0.9228515625}, {"start": 1314.06, "end": 1314.34, "word": " object", "probability": 0.9677734375}, {"start": 1314.34, "end": 1314.56, "word": " and", "probability": 0.482421875}, {"start": 1314.56, "end": 1314.62, "word": " I", "probability": 0.865234375}, {"start": 1314.62, "end": 1315.04, "word": " get", "probability": 0.88671875}, {"start": 1315.04, "end": 1315.86, "word": " transfers", "probability": 0.82275390625}, {"start": 1315.86, "end": 1317.16, "word": " magnification", "probability": 0.950439453125}, {"start": 1317.16, "end": 1317.64, "word": " One", "probability": 0.314208984375}, {"start": 1317.64, "end": 1317.86, "word": " can", "probability": 0.30078125}, {"start": 1317.86, "end": 1318.52, "word": " ask", "probability": 0.84814453125}, {"start": 1318.52, "end": 1319.4, "word": " that", "probability": 0.5654296875}, {"start": 1319.4, "end": 1319.72, "word": " we", "probability": 0.513671875}, {"start": 1319.72, "end": 1319.96, "word": " have", "probability": 0.93994140625}], "temperature": 1.0}, {"id": 56, "seek": 134828, "start": 1321.18, "end": 1348.28, "text": "When we were using the heights, we used to say that the one below the optical axis gives a minus sign and the one above the optical axis gives a plus sign Are there certain signals in the distances to help me turn the picture upside down or not? We say yes, it was identified, it was identified that whatever is on the right of the optical system, which is the lens, is considered positive and whatever is on the left is considered negative, is considered negative", "tokens": [11645, 321, 645, 1228, 264, 25930, 11, 321, 1143, 281, 584, 300, 264, 472, 2507, 264, 20674, 10298, 2709, 257, 3175, 1465, 293, 264, 472, 3673, 264, 20674, 10298, 2709, 257, 1804, 1465, 2014, 456, 1629, 12354, 294, 264, 22182, 281, 854, 385, 1261, 264, 3036, 14119, 760, 420, 406, 30, 492, 584, 2086, 11, 309, 390, 9234, 11, 309, 390, 9234, 300, 2035, 307, 322, 264, 558, 295, 264, 20674, 1185, 11, 597, 307, 264, 6765, 11, 307, 4888, 3353, 293, 2035, 307, 322, 264, 1411, 307, 4888, 3671, 11, 307, 4888, 3671], "avg_logprob": -0.4013157932381881, "compression_ratio": 2.0086580086580086, "no_speech_prob": 1.5854835510253906e-05, "words": [{"start": 1321.18, "end": 1321.46, "word": "When", "probability": 0.6337890625}, {"start": 1321.46, "end": 1321.86, "word": " we", "probability": 0.92724609375}, {"start": 1321.86, "end": 1321.86, "word": " were", "probability": 0.27197265625}, {"start": 1321.86, "end": 1322.44, "word": " using", "probability": 0.89306640625}, {"start": 1322.44, "end": 1322.64, "word": " the", "probability": 0.28955078125}, {"start": 1322.64, "end": 1323.24, "word": " heights,", "probability": 0.54150390625}, {"start": 1323.82, "end": 1324.02, "word": " we", "probability": 0.8935546875}, {"start": 1324.02, "end": 1324.02, "word": " used", "probability": 0.252685546875}, {"start": 1324.02, "end": 1324.22, "word": " to", "probability": 0.97314453125}, {"start": 1324.22, "end": 1324.4, "word": " say", "probability": 0.939453125}, {"start": 1324.4, "end": 1324.52, "word": " that", "probability": 0.476806640625}, {"start": 1324.52, "end": 1324.64, "word": " the", "probability": 0.32177734375}, {"start": 1324.64, "end": 1324.64, "word": " one", "probability": 0.4775390625}, {"start": 1324.64, "end": 1324.9, "word": " below", "probability": 0.460693359375}, {"start": 1324.9, "end": 1325.04, "word": " the", "probability": 0.86669921875}, {"start": 1325.04, "end": 1325.42, "word": " optical", "probability": 0.9072265625}, {"start": 1325.42, "end": 1325.92, "word": " axis", "probability": 0.9580078125}, {"start": 1325.92, "end": 1326.26, "word": " gives", "probability": 0.423095703125}, {"start": 1326.26, "end": 1326.44, "word": " a", "probability": 0.57666015625}, {"start": 1326.44, "end": 1327.06, "word": " minus", "probability": 0.88720703125}, {"start": 1327.06, "end": 1327.06, "word": " sign", "probability": 0.6494140625}, {"start": 1327.06, "end": 1327.92, "word": " and", "probability": 0.57470703125}, {"start": 1327.92, "end": 1328.08, "word": " the", "probability": 0.73046875}, {"start": 1328.08, "end": 1328.14, "word": " one", "probability": 0.90283203125}, {"start": 1328.14, "end": 1328.4, "word": " above", "probability": 0.9111328125}, {"start": 1328.4, "end": 1328.6, "word": " the", "probability": 0.80419921875}, {"start": 1328.6, "end": 1329.1, "word": " optical", "probability": 0.91650390625}, {"start": 1329.1, "end": 1329.6, "word": " axis", "probability": 0.9580078125}, {"start": 1329.6, "end": 1329.92, "word": " gives", "probability": 0.86767578125}, {"start": 1329.92, "end": 1330.1, "word": " a", "probability": 0.9296875}, {"start": 1330.1, "end": 1330.68, "word": " plus", "probability": 0.939453125}, {"start": 1330.68, "end": 1330.78, "word": " sign", "probability": 0.822265625}, {"start": 1330.78, "end": 1331.2, "word": " Are", "probability": 0.54736328125}, {"start": 1331.2, "end": 1332.14, "word": " there", "probability": 0.91455078125}, {"start": 1332.14, "end": 1332.22, "word": " certain", "probability": 0.172607421875}, {"start": 1332.22, "end": 1332.66, "word": " signals", "probability": 0.414794921875}, {"start": 1332.66, "end": 1333.14, "word": " in", "probability": 0.62939453125}, {"start": 1333.14, "end": 1333.14, "word": " the", "probability": 0.75}, {"start": 1333.14, "end": 1333.14, "word": " distances", "probability": 0.88720703125}, {"start": 1333.14, "end": 1333.56, "word": " to", "probability": 0.693359375}, {"start": 1333.56, "end": 1333.9, "word": " help", "probability": 0.18359375}, {"start": 1333.9, "end": 1334.08, "word": " me", "probability": 0.771484375}, {"start": 1334.08, "end": 1334.2, "word": " turn", "probability": 0.1329345703125}, {"start": 1334.2, "end": 1334.2, "word": " the", "probability": 0.35205078125}, {"start": 1334.2, "end": 1334.44, "word": " picture", "probability": 0.68896484375}, {"start": 1334.44, "end": 1334.9, "word": " upside", "probability": 0.7109375}, {"start": 1334.9, "end": 1334.96, "word": " down", "probability": 0.83154296875}, {"start": 1334.96, "end": 1335.12, "word": " or", "probability": 0.82177734375}, {"start": 1335.12, "end": 1335.4, "word": " not?", "probability": 0.91650390625}, {"start": 1335.72, "end": 1335.92, "word": " We", "probability": 0.84423828125}, {"start": 1335.92, "end": 1336.12, "word": " say", "probability": 0.89306640625}, {"start": 1336.12, "end": 1336.54, "word": " yes,", "probability": 0.8271484375}, {"start": 1336.74, "end": 1336.76, "word": " it", "probability": 0.2218017578125}, {"start": 1336.76, "end": 1336.98, "word": " was", "probability": 0.51171875}, {"start": 1336.98, "end": 1337.5, "word": " identified,", "probability": 0.4189453125}, {"start": 1337.96, "end": 1338.02, "word": " it", "probability": 0.72021484375}, {"start": 1338.02, "end": 1338.26, "word": " was", "probability": 0.93017578125}, {"start": 1338.26, "end": 1338.62, "word": " identified", "probability": 0.9501953125}, {"start": 1338.62, "end": 1338.94, "word": " that", "probability": 0.76904296875}, {"start": 1338.94, "end": 1339.34, "word": " whatever", "probability": 0.52294921875}, {"start": 1339.34, "end": 1339.72, "word": " is", "probability": 0.91162109375}, {"start": 1339.72, "end": 1339.94, "word": " on", "probability": 0.6962890625}, {"start": 1339.94, "end": 1340.36, "word": " the", "probability": 0.92626953125}, {"start": 1340.36, "end": 1340.36, "word": " right", "probability": 0.90625}, {"start": 1340.36, "end": 1340.68, "word": " of", "probability": 0.826171875}, {"start": 1340.68, "end": 1340.8, "word": " the", "probability": 0.9189453125}, {"start": 1340.8, "end": 1341.18, "word": " optical", "probability": 0.96923828125}, {"start": 1341.18, "end": 1341.84, "word": " system,", "probability": 0.93994140625}, {"start": 1342.16, "end": 1342.28, "word": " which", "probability": 0.8046875}, {"start": 1342.28, "end": 1342.36, "word": " is", "probability": 0.94287109375}, {"start": 1342.36, "end": 1342.46, "word": " the", "probability": 0.8671875}, {"start": 1342.46, "end": 1342.78, "word": " lens,", "probability": 0.82421875}, {"start": 1343.28, "end": 1343.34, "word": " is", "probability": 0.8642578125}, {"start": 1343.34, "end": 1343.74, "word": " considered", "probability": 0.6728515625}, {"start": 1343.74, "end": 1344.02, "word": " positive", "probability": 0.278564453125}, {"start": 1344.02, "end": 1344.42, "word": " and", "probability": 0.72705078125}, {"start": 1344.42, "end": 1344.72, "word": " whatever", "probability": 0.916015625}, {"start": 1344.72, "end": 1345.02, "word": " is", "probability": 0.92138671875}, {"start": 1345.02, "end": 1345.22, "word": " on", "probability": 0.85791015625}, {"start": 1345.22, "end": 1345.42, "word": " the", "probability": 0.92138671875}, {"start": 1345.42, "end": 1345.66, "word": " left", "probability": 0.94970703125}, {"start": 1345.66, "end": 1345.84, "word": " is", "probability": 0.8720703125}, {"start": 1345.84, "end": 1346.44, "word": " considered", "probability": 0.669921875}, {"start": 1346.44, "end": 1347.02, "word": " negative,", "probability": 0.86328125}, {"start": 1347.2, "end": 1347.28, "word": " is", "probability": 0.7109375}, {"start": 1347.28, "end": 1347.7, "word": " considered", "probability": 0.78857421875}, {"start": 1347.7, "end": 1348.28, "word": " negative", "probability": 0.77783203125}], "temperature": 1.0}, {"id": 57, "seek": 137268, "start": 1359.4, "end": 1372.68, "text": "The essential property of nodal points is that these two angles are equal for any selected object point", "tokens": [2278, 7115, 4707, 295, 15224, 304, 2793, 307, 300, 613, 732, 14708, 366, 2681, 337, 604, 8209, 2657, 935], "avg_logprob": -0.2798828065395355, "compression_ratio": 1.197674418604651, "no_speech_prob": 3.635883331298828e-06, "words": [{"start": 1359.4, "end": 1359.6, "word": "The", "probability": 0.7431640625}, {"start": 1359.6, "end": 1360.14, "word": " essential", "probability": 0.79931640625}, {"start": 1360.14, "end": 1360.88, "word": " property", "probability": 0.93212890625}, {"start": 1360.88, "end": 1362.86, "word": " of", "probability": 0.8671875}, {"start": 1362.86, "end": 1363.5, "word": " nodal", "probability": 0.75732421875}, {"start": 1363.5, "end": 1363.96, "word": " points", "probability": 0.89697265625}, {"start": 1363.96, "end": 1364.4, "word": " is", "probability": 0.91015625}, {"start": 1364.4, "end": 1364.86, "word": " that", "probability": 0.93896484375}, {"start": 1364.86, "end": 1365.64, "word": " these", "probability": 0.7548828125}, {"start": 1365.64, "end": 1365.98, "word": " two", "probability": 0.89892578125}, {"start": 1365.98, "end": 1366.58, "word": " angles", "probability": 0.9013671875}, {"start": 1366.58, "end": 1366.94, "word": " are", "probability": 0.84521484375}, {"start": 1366.94, "end": 1367.34, "word": " equal", "probability": 0.89404296875}, {"start": 1367.34, "end": 1369.72, "word": " for", "probability": 0.365966796875}, {"start": 1369.72, "end": 1371.22, "word": " any", "probability": 0.91064453125}, {"start": 1371.22, "end": 1371.78, "word": " selected", "probability": 0.88720703125}, {"start": 1371.78, "end": 1372.22, "word": " object", "probability": 0.84228515625}, {"start": 1372.22, "end": 1372.68, "word": " point", "probability": 0.93310546875}], "temperature": 1.0}, {"id": 58, "seek": 139680, "start": 1387.26, "end": 1396.8, "text": "because of this feature nodal points are useful for establishing a relationship among transphase magnification", "tokens": [17566, 295, 341, 4111, 15224, 304, 2793, 366, 4420, 337, 22494, 257, 2480, 3654, 1145, 43331, 4944, 3774], "avg_logprob": -0.22800164316829882, "compression_ratio": 1.2790697674418605, "no_speech_prob": 1.9371509552001953e-05, "words": [{"start": 1387.2600000000002, "end": 1388.38, "word": "because", "probability": 0.20703125}, {"start": 1388.38, "end": 1389.5, "word": " of", "probability": 0.93994140625}, {"start": 1389.5, "end": 1389.78, "word": " this", "probability": 0.90185546875}, {"start": 1389.78, "end": 1390.28, "word": " feature", "probability": 0.94873046875}, {"start": 1390.28, "end": 1390.84, "word": " nodal", "probability": 0.901611328125}, {"start": 1390.84, "end": 1391.26, "word": " points", "probability": 0.890625}, {"start": 1391.26, "end": 1391.58, "word": " are", "probability": 0.908203125}, {"start": 1391.58, "end": 1392.08, "word": " useful", "probability": 0.80029296875}, {"start": 1392.08, "end": 1392.4, "word": " for", "probability": 0.95263671875}, {"start": 1392.4, "end": 1393.32, "word": " establishing", "probability": 0.90283203125}, {"start": 1393.32, "end": 1393.92, "word": " a", "probability": 0.93701171875}, {"start": 1393.92, "end": 1394.74, "word": " relationship", "probability": 0.88623046875}, {"start": 1394.74, "end": 1395.24, "word": " among", "probability": 0.875}, {"start": 1395.24, "end": 1395.94, "word": " transphase", "probability": 0.577880859375}, {"start": 1395.94, "end": 1396.8, "word": " magnification", "probability": 0.92578125}], "temperature": 1.0}, {"id": 59, "seek": 141416, "start": 1397.18, "end": 1414.16, "text": "object distance and image distance and because of this feature that the entry angle and exit angle are equal, nodal point helped us to create a relation between the transphase magnification and the object distance and the image distance this relation is summarized in the equation that", "tokens": [41070, 4560, 293, 3256, 4560, 293, 570, 295, 341, 4111, 300, 264, 8729, 5802, 293, 11043, 5802, 366, 2681, 11, 15224, 304, 935, 4254, 505, 281, 1884, 257, 9721, 1296, 264, 1145, 43331, 4944, 3774, 293, 264, 2657, 4560, 293, 264, 3256, 4560, 341, 9721, 307, 14611, 1602, 294, 264, 5367, 300], "avg_logprob": -0.47877359840105166, "compression_ratio": 1.78125, "no_speech_prob": 5.704164505004883e-05, "words": [{"start": 1397.18, "end": 1397.66, "word": "object", "probability": 0.463623046875}, {"start": 1397.66, "end": 1398.24, "word": " distance", "probability": 0.873046875}, {"start": 1398.24, "end": 1398.56, "word": " and", "probability": 0.90576171875}, {"start": 1398.56, "end": 1398.88, "word": " image", "probability": 0.89453125}, {"start": 1398.88, "end": 1399.34, "word": " distance", "probability": 0.93212890625}, {"start": 1399.34, "end": 1399.66, "word": " and", "probability": 0.2099609375}, {"start": 1399.66, "end": 1399.94, "word": " because", "probability": 0.55517578125}, {"start": 1399.94, "end": 1400.18, "word": " of", "probability": 0.7939453125}, {"start": 1400.18, "end": 1400.26, "word": " this", "probability": 0.63818359375}, {"start": 1400.26, "end": 1400.8, "word": " feature", "probability": 0.40185546875}, {"start": 1400.8, "end": 1400.98, "word": " that", "probability": 0.327880859375}, {"start": 1400.98, "end": 1401.12, "word": " the", "probability": 0.25048828125}, {"start": 1401.12, "end": 1401.34, "word": " entry", "probability": 0.295654296875}, {"start": 1401.34, "end": 1401.86, "word": " angle", "probability": 0.414794921875}, {"start": 1401.86, "end": 1402.16, "word": " and", "probability": 0.8466796875}, {"start": 1402.16, "end": 1402.2, "word": " exit", "probability": 0.51318359375}, {"start": 1402.2, "end": 1402.76, "word": " angle", "probability": 0.9052734375}, {"start": 1402.76, "end": 1402.92, "word": " are", "probability": 0.67041015625}, {"start": 1402.92, "end": 1403.4, "word": " equal,", "probability": 0.63525390625}, {"start": 1404.04, "end": 1405.16, "word": " nodal", "probability": 0.688720703125}, {"start": 1405.16, "end": 1405.54, "word": " point", "probability": 0.86962890625}, {"start": 1405.54, "end": 1405.56, "word": " helped", "probability": 0.486328125}, {"start": 1405.56, "end": 1405.66, "word": " us", "probability": 0.76171875}, {"start": 1405.66, "end": 1405.74, "word": " to", "probability": 0.62158203125}, {"start": 1405.74, "end": 1406.18, "word": " create", "probability": 0.45263671875}, {"start": 1406.18, "end": 1406.34, "word": " a", "probability": 0.69873046875}, {"start": 1406.34, "end": 1406.62, "word": " relation", "probability": 0.4072265625}, {"start": 1406.62, "end": 1407.02, "word": " between", "probability": 0.88232421875}, {"start": 1407.02, "end": 1407.18, "word": " the", "probability": 0.57568359375}, {"start": 1407.18, "end": 1407.74, "word": " transphase", "probability": 0.3909912109375}, {"start": 1407.74, "end": 1408.68, "word": " magnification", "probability": 0.956787109375}, {"start": 1408.68, "end": 1409.26, "word": " and", "probability": 0.705078125}, {"start": 1409.26, "end": 1409.38, "word": " the", "probability": 0.439208984375}, {"start": 1409.38, "end": 1409.74, "word": " object", "probability": 0.9326171875}, {"start": 1409.74, "end": 1410.36, "word": " distance", "probability": 0.91796875}, {"start": 1410.36, "end": 1410.54, "word": " and", "probability": 0.90625}, {"start": 1410.54, "end": 1410.62, "word": " the", "probability": 0.5185546875}, {"start": 1410.62, "end": 1410.86, "word": " image", "probability": 0.91845703125}, {"start": 1410.86, "end": 1411.32, "word": " distance", "probability": 0.94873046875}, {"start": 1411.32, "end": 1411.62, "word": " this", "probability": 0.365966796875}, {"start": 1411.62, "end": 1412.12, "word": " relation", "probability": 0.943359375}, {"start": 1412.12, "end": 1412.3, "word": " is", "probability": 0.48681640625}, {"start": 1412.3, "end": 1412.76, "word": " summarized", "probability": 0.8681640625}, {"start": 1412.76, "end": 1412.88, "word": " in", "probability": 0.90185546875}, {"start": 1412.88, "end": 1413.0, "word": " the", "probability": 0.7158203125}, {"start": 1413.0, "end": 1413.5, "word": " equation", "probability": 0.98095703125}, {"start": 1413.5, "end": 1414.16, "word": " that", "probability": 0.73095703125}], "temperature": 1.0}, {"id": 60, "seek": 144360, "start": 1416.66, "end": 1443.6, "text": "transfers magnification equals image distance over object distance regardless of the location of an object the object and the image subtends equal angles with respect to their nodal points and this is what we said that the angle of entry of any beam that enters the nodal point equals the angle of exit of this beam from the nodal point we reached the relationship that transfers magnification", "tokens": [24999, 69, 433, 4944, 3774, 6915, 3256, 4560, 670, 2657, 4560, 10060, 295, 264, 4914, 295, 364, 2657, 264, 2657, 293, 264, 3256, 7257, 2581, 2681, 14708, 365, 3104, 281, 641, 15224, 304, 2793, 293, 341, 307, 437, 321, 848, 300, 264, 5802, 295, 8729, 295, 604, 14269, 300, 18780, 264, 15224, 304, 935, 6915, 264, 5802, 295, 11043, 295, 341, 14269, 490, 264, 15224, 304, 935, 321, 6488, 264, 2480, 300, 29137, 4944, 3774], "avg_logprob": -0.3182565695361087, "compression_ratio": 2.046875, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 1416.6599999999999, "end": 1417.3799999999999, "word": "transfers", "probability": 0.6204427083333334}, {"start": 1417.3799999999999, "end": 1418.1, "word": " magnification", "probability": 0.93115234375}, {"start": 1418.1, "end": 1418.54, "word": " equals", "probability": 0.1944580078125}, {"start": 1418.54, "end": 1419.08, "word": " image", "probability": 0.57421875}, {"start": 1419.08, "end": 1419.66, "word": " distance", "probability": 0.90576171875}, {"start": 1419.66, "end": 1419.9, "word": " over", "probability": 0.5380859375}, {"start": 1419.9, "end": 1420.38, "word": " object", "probability": 0.84375}, {"start": 1420.38, "end": 1420.96, "word": " distance", "probability": 0.93359375}, {"start": 1420.96, "end": 1421.8, "word": " regardless", "probability": 0.5146484375}, {"start": 1421.8, "end": 1422.28, "word": " of", "probability": 0.95068359375}, {"start": 1422.28, "end": 1422.44, "word": " the", "probability": 0.82373046875}, {"start": 1422.44, "end": 1422.94, "word": " location", "probability": 0.9384765625}, {"start": 1422.94, "end": 1423.2, "word": " of", "probability": 0.96630859375}, {"start": 1423.2, "end": 1423.44, "word": " an", "probability": 0.880859375}, {"start": 1423.44, "end": 1423.92, "word": " object", "probability": 0.97265625}, {"start": 1423.92, "end": 1424.42, "word": " the", "probability": 0.599609375}, {"start": 1424.42, "end": 1425.28, "word": " object", "probability": 0.91748046875}, {"start": 1425.28, "end": 1425.64, "word": " and", "probability": 0.93994140625}, {"start": 1425.64, "end": 1425.82, "word": " the", "probability": 0.8291015625}, {"start": 1425.82, "end": 1426.14, "word": " image", "probability": 0.91796875}, {"start": 1426.14, "end": 1426.74, "word": " subtends", "probability": 0.6680908203125}, {"start": 1426.74, "end": 1427.2, "word": " equal", "probability": 0.88720703125}, {"start": 1427.2, "end": 1427.88, "word": " angles", "probability": 0.8544921875}, {"start": 1427.88, "end": 1428.5, "word": " with", "probability": 0.8955078125}, {"start": 1428.5, "end": 1429.0, "word": " respect", "probability": 0.91015625}, {"start": 1429.0, "end": 1429.44, "word": " to", "probability": 0.96435546875}, {"start": 1429.44, "end": 1429.9, "word": " their", "probability": 0.93505859375}, {"start": 1429.9, "end": 1430.38, "word": " nodal", "probability": 0.985595703125}, {"start": 1430.38, "end": 1430.88, "word": " points", "probability": 0.85693359375}, {"start": 1430.88, "end": 1431.18, "word": " and", "probability": 0.44580078125}, {"start": 1431.18, "end": 1431.44, "word": " this", "probability": 0.400390625}, {"start": 1431.44, "end": 1431.44, "word": " is", "probability": 0.6142578125}, {"start": 1431.44, "end": 1431.68, "word": " what", "probability": 0.734375}, {"start": 1431.68, "end": 1432.14, "word": " we", "probability": 0.87158203125}, {"start": 1432.14, "end": 1432.36, "word": " said", "probability": 0.408935546875}, {"start": 1432.36, "end": 1432.72, "word": " that", "probability": 0.338623046875}, {"start": 1432.72, "end": 1432.86, "word": " the", "probability": 0.6796875}, {"start": 1432.86, "end": 1433.04, "word": " angle", "probability": 0.62451171875}, {"start": 1433.04, "end": 1433.18, "word": " of", "probability": 0.88232421875}, {"start": 1433.18, "end": 1433.46, "word": " entry", "probability": 0.69580078125}, {"start": 1433.46, "end": 1433.66, "word": " of", "probability": 0.77001953125}, {"start": 1433.66, "end": 1433.8, "word": " any", "probability": 0.81201171875}, {"start": 1433.8, "end": 1434.1, "word": " beam", "probability": 0.406005859375}, {"start": 1434.1, "end": 1434.3, "word": " that", "probability": 0.265380859375}, {"start": 1434.3, "end": 1434.52, "word": " enters", "probability": 0.81591796875}, {"start": 1434.52, "end": 1434.78, "word": " the", "probability": 0.77099609375}, {"start": 1434.78, "end": 1435.12, "word": " nodal", "probability": 0.969970703125}, {"start": 1435.12, "end": 1435.52, "word": " point", "probability": 0.8916015625}, {"start": 1435.52, "end": 1436.46, "word": " equals", "probability": 0.625}, {"start": 1436.46, "end": 1436.86, "word": " the", "probability": 0.865234375}, {"start": 1436.86, "end": 1437.06, "word": " angle", "probability": 0.712890625}, {"start": 1437.06, "end": 1437.24, "word": " of", "probability": 0.8798828125}, {"start": 1437.24, "end": 1437.62, "word": " exit", "probability": 0.8466796875}, {"start": 1437.62, "end": 1438.86, "word": " of", "probability": 0.8623046875}, {"start": 1438.86, "end": 1439.12, "word": " this", "probability": 0.63671875}, {"start": 1439.12, "end": 1439.48, "word": " beam", "probability": 0.9521484375}, {"start": 1439.48, "end": 1439.72, "word": " from", "probability": 0.828125}, {"start": 1439.72, "end": 1439.86, "word": " the", "probability": 0.865234375}, {"start": 1439.86, "end": 1440.18, "word": " nodal", "probability": 0.973876953125}, {"start": 1440.18, "end": 1440.52, "word": " point", "probability": 0.92578125}, {"start": 1440.52, "end": 1440.92, "word": " we", "probability": 0.5126953125}, {"start": 1440.92, "end": 1441.26, "word": " reached", "probability": 0.2388916015625}, {"start": 1441.26, "end": 1441.5, "word": " the", "probability": 0.6962890625}, {"start": 1441.5, "end": 1441.84, "word": " relationship", "probability": 0.263671875}, {"start": 1441.84, "end": 1442.12, "word": " that", "probability": 0.9091796875}, {"start": 1442.12, "end": 1442.74, "word": " transfers", "probability": 0.673828125}, {"start": 1442.74, "end": 1443.6, "word": " magnification", "probability": 0.961181640625}], "temperature": 1.0}, {"id": 61, "seek": 147258, "start": 1443.98, "end": 1472.58, "text": "Like it equals image height over object height, it also equals image distance over object distance in heights In heights, we said the one above the optical axis gets a plus sign, and the one below the optical axis gets a minus sign In distances, the one on the right is positive on the right of the lens or on the right of the optical system, and the one on the left is negative, is negative, we say as follows", "tokens": [19657, 309, 6915, 3256, 6681, 670, 2657, 6681, 11, 309, 611, 6915, 3256, 4560, 670, 2657, 4560, 294, 25930, 682, 25930, 11, 321, 848, 264, 472, 3673, 264, 20674, 10298, 2170, 257, 1804, 1465, 11, 293, 264, 472, 2507, 264, 20674, 10298, 2170, 257, 3175, 1465, 682, 22182, 11, 264, 472, 322, 264, 558, 307, 3353, 322, 264, 558, 295, 264, 6765, 420, 322, 264, 558, 295, 264, 20674, 1185, 11, 293, 264, 472, 322, 264, 1411, 307, 3671, 11, 307, 3671, 11, 321, 584, 382, 10002], "avg_logprob": -0.34357243505391205, "compression_ratio": 2.2282608695652173, "no_speech_prob": 3.337860107421875e-06, "words": [{"start": 1443.98, "end": 1444.38, "word": "Like", "probability": 0.2220458984375}, {"start": 1444.38, "end": 1444.68, "word": " it", "probability": 0.172607421875}, {"start": 1444.68, "end": 1445.14, "word": " equals", "probability": 0.416748046875}, {"start": 1445.14, "end": 1445.52, "word": " image", "probability": 0.68505859375}, {"start": 1445.52, "end": 1445.9, "word": " height", "probability": 0.79345703125}, {"start": 1445.9, "end": 1446.1, "word": " over", "probability": 0.47265625}, {"start": 1446.1, "end": 1446.52, "word": " object", "probability": 0.93896484375}, {"start": 1446.52, "end": 1446.92, "word": " height,", "probability": 0.94189453125}, {"start": 1447.16, "end": 1447.16, "word": " it", "probability": 0.56591796875}, {"start": 1447.16, "end": 1447.48, "word": " also", "probability": 0.716796875}, {"start": 1447.48, "end": 1447.94, "word": " equals", "probability": 0.9130859375}, {"start": 1447.94, "end": 1448.36, "word": " image", "probability": 0.7900390625}, {"start": 1448.36, "end": 1448.86, "word": " distance", "probability": 0.94580078125}, {"start": 1448.86, "end": 1449.04, "word": " over", "probability": 0.8994140625}, {"start": 1449.04, "end": 1449.4, "word": " object", "probability": 0.958984375}, {"start": 1449.4, "end": 1450.02, "word": " distance", "probability": 0.92431640625}, {"start": 1450.02, "end": 1450.48, "word": " in", "probability": 0.56298828125}, {"start": 1450.48, "end": 1451.24, "word": " heights", "probability": 0.372802734375}, {"start": 1451.24, "end": 1451.88, "word": " In", "probability": 0.28857421875}, {"start": 1451.88, "end": 1452.58, "word": " heights,", "probability": 0.75}, {"start": 1452.7, "end": 1452.7, "word": " we", "probability": 0.483154296875}, {"start": 1452.7, "end": 1452.96, "word": " said", "probability": 0.78076171875}, {"start": 1452.96, "end": 1453.58, "word": " the", "probability": 0.2403564453125}, {"start": 1453.58, "end": 1453.64, "word": " one", "probability": 0.638671875}, {"start": 1453.64, "end": 1453.86, "word": " above", "probability": 0.74365234375}, {"start": 1453.86, "end": 1454.04, "word": " the", "probability": 0.77197265625}, {"start": 1454.04, "end": 1454.44, "word": " optical", "probability": 0.9228515625}, {"start": 1454.44, "end": 1455.16, "word": " axis", "probability": 0.94580078125}, {"start": 1455.16, "end": 1455.86, "word": " gets", "probability": 0.431396484375}, {"start": 1455.86, "end": 1456.38, "word": " a", "probability": 0.67578125}, {"start": 1456.38, "end": 1456.7, "word": " plus", "probability": 0.8330078125}, {"start": 1456.7, "end": 1456.7, "word": " sign,", "probability": 0.68994140625}, {"start": 1456.8, "end": 1456.92, "word": " and", "probability": 0.88525390625}, {"start": 1456.92, "end": 1457.02, "word": " the", "probability": 0.83251953125}, {"start": 1457.02, "end": 1457.02, "word": " one", "probability": 0.90185546875}, {"start": 1457.02, "end": 1457.24, "word": " below", "probability": 0.78662109375}, {"start": 1457.24, "end": 1457.44, "word": " the", "probability": 0.861328125}, {"start": 1457.44, "end": 1457.82, "word": " optical", "probability": 0.923828125}, {"start": 1457.82, "end": 1458.4, "word": " axis", "probability": 0.95361328125}, {"start": 1458.4, "end": 1459.08, "word": " gets", "probability": 0.83251953125}, {"start": 1459.08, "end": 1459.62, "word": " a", "probability": 0.89306640625}, {"start": 1459.62, "end": 1459.94, "word": " minus", "probability": 0.9716796875}, {"start": 1459.94, "end": 1459.94, "word": " sign", "probability": 0.80322265625}, {"start": 1459.94, "end": 1460.52, "word": " In", "probability": 0.787109375}, {"start": 1460.52, "end": 1460.96, "word": " distances,", "probability": 0.87841796875}, {"start": 1461.3, "end": 1461.5, "word": " the", "probability": 0.84619140625}, {"start": 1461.5, "end": 1461.54, "word": " one", "probability": 0.876953125}, {"start": 1461.54, "end": 1461.72, "word": " on", "probability": 0.8408203125}, {"start": 1461.72, "end": 1461.96, "word": " the", "probability": 0.9111328125}, {"start": 1461.96, "end": 1462.32, "word": " right", "probability": 0.90625}, {"start": 1462.32, "end": 1462.98, "word": " is", "probability": 0.56201171875}, {"start": 1462.98, "end": 1463.36, "word": " positive", "probability": 0.313232421875}, {"start": 1463.36, "end": 1464.26, "word": " on", "probability": 0.599609375}, {"start": 1464.26, "end": 1464.38, "word": " the", "probability": 0.91748046875}, {"start": 1464.38, "end": 1464.54, "word": " right", "probability": 0.89208984375}, {"start": 1464.54, "end": 1464.68, "word": " of", "probability": 0.89794921875}, {"start": 1464.68, "end": 1464.72, "word": " the", "probability": 0.91064453125}, {"start": 1464.72, "end": 1465.02, "word": " lens", "probability": 0.73583984375}, {"start": 1465.02, "end": 1465.28, "word": " or", "probability": 0.80712890625}, {"start": 1465.28, "end": 1465.4, "word": " on", "probability": 0.55810546875}, {"start": 1465.4, "end": 1465.58, "word": " the", "probability": 0.92431640625}, {"start": 1465.58, "end": 1465.58, "word": " right", "probability": 0.90966796875}, {"start": 1465.58, "end": 1465.72, "word": " of", "probability": 0.96533203125}, {"start": 1465.72, "end": 1465.8, "word": " the", "probability": 0.921875}, {"start": 1465.8, "end": 1466.06, "word": " optical", "probability": 0.9697265625}, {"start": 1466.06, "end": 1466.66, "word": " system,", "probability": 0.95458984375}, {"start": 1466.78, "end": 1467.08, "word": " and", "probability": 0.9248046875}, {"start": 1467.08, "end": 1467.22, "word": " the", "probability": 0.83349609375}, {"start": 1467.22, "end": 1467.22, "word": " one", "probability": 0.88818359375}, {"start": 1467.22, "end": 1467.34, "word": " on", "probability": 0.88623046875}, {"start": 1467.34, "end": 1467.54, "word": " the", "probability": 0.92333984375}, {"start": 1467.54, "end": 1467.78, "word": " left", "probability": 0.9462890625}, {"start": 1467.78, "end": 1468.66, "word": " is", "probability": 0.90966796875}, {"start": 1468.66, "end": 1469.4, "word": " negative,", "probability": 0.8623046875}, {"start": 1469.54, "end": 1469.74, "word": " is", "probability": 0.2366943359375}, {"start": 1469.74, "end": 1470.68, "word": " negative,", "probability": 0.84423828125}, {"start": 1471.06, "end": 1471.26, "word": " we", "probability": 0.68310546875}, {"start": 1471.26, "end": 1471.62, "word": " say", "probability": 0.91259765625}, {"start": 1471.62, "end": 1472.2, "word": " as", "probability": 0.31884765625}, {"start": 1472.2, "end": 1472.58, "word": " follows", "probability": 0.80029296875}], "temperature": 1.0}, {"id": 62, "seek": 149475, "start": 1474.01, "end": 1494.75, "text": "as a practical matter object and image distances must obey a sign convention لازم نعطي إشارة لمسافة الصورة ومسافة ال object عشان نعرف بالظبط هل الصورة مجلوبة و لا الصورة معتادلة و لا الصورة معتادلة طبعا هذا sign convention أو العلامة اللي بنعطيها", "tokens": [296, 257, 8496, 1871, 2657, 293, 3256, 22182, 1633, 19297, 257, 1465, 10286, 5296, 31377, 2304, 8717, 3615, 9566, 1829, 11933, 8592, 9640, 3660, 32767, 3794, 31845, 3660, 31767, 13063, 3660, 4032, 2304, 3794, 31845, 3660, 2423, 2657, 6225, 8592, 7649, 8717, 3615, 28480, 20666, 19913, 3555, 9566, 8032, 1211, 31767, 13063, 3660, 3714, 7435, 1211, 37746, 3660, 4032, 20193, 31767, 13063, 3660, 20449, 2655, 18513, 37977, 4032, 20193, 31767, 13063, 3660, 20449, 2655, 18513, 37977, 23032, 3555, 3615, 995, 23758, 1465, 10286, 34051, 18863, 37440, 3660, 13672, 1829, 44945, 3615, 9566, 1829, 11296], "avg_logprob": -0.11381578696401495, "compression_ratio": 1.7941176470588236, "no_speech_prob": 5.900859832763672e-06, "words": [{"start": 1474.01, "end": 1474.35, "word": "as", "probability": 0.5537109375}, {"start": 1474.35, "end": 1474.55, "word": " a", "probability": 0.9619140625}, {"start": 1474.55, "end": 1475.09, "word": " practical", "probability": 0.92626953125}, {"start": 1475.09, "end": 1475.65, "word": " matter", "probability": 0.9189453125}, {"start": 1475.65, "end": 1476.17, "word": " object", "probability": 0.56103515625}, {"start": 1476.17, "end": 1476.57, "word": " and", "probability": 0.935546875}, {"start": 1476.57, "end": 1476.89, "word": " image", "probability": 0.9140625}, {"start": 1476.89, "end": 1477.51, "word": " distances", "probability": 0.9091796875}, {"start": 1477.51, "end": 1478.31, "word": " must", "probability": 0.86376953125}, {"start": 1478.31, "end": 1478.67, "word": " obey", "probability": 0.6279296875}, {"start": 1478.67, "end": 1478.95, "word": " a", "probability": 0.95849609375}, {"start": 1478.95, "end": 1479.15, "word": " sign", "probability": 0.765625}, {"start": 1479.15, "end": 1479.67, "word": " convention", "probability": 0.9521484375}, {"start": 1479.67, "end": 1480.13, "word": " لازم", "probability": 0.9308268229166666}, {"start": 1480.13, "end": 1480.51, "word": " نعطي", "probability": 0.97216796875}, {"start": 1480.51, "end": 1481.11, "word": " إشارة", "probability": 0.925048828125}, {"start": 1481.11, "end": 1482.03, "word": " لمسافة", "probability": 0.944580078125}, {"start": 1482.03, "end": 1482.51, "word": " الصورة", "probability": 0.9912109375}, {"start": 1482.51, "end": 1483.13, "word": " ومسافة", "probability": 0.95224609375}, {"start": 1483.13, "end": 1483.25, "word": " ال", "probability": 0.96923828125}, {"start": 1483.25, "end": 1483.55, "word": " object", "probability": 0.7880859375}, {"start": 1483.55, "end": 1484.01, "word": " عشان", "probability": 0.986328125}, {"start": 1484.01, "end": 1484.43, "word": " نعرف", "probability": 0.9910481770833334}, {"start": 1484.43, "end": 1485.31, "word": " بالظبط", "probability": 0.985107421875}, {"start": 1485.31, "end": 1485.53, "word": " هل", "probability": 0.972900390625}, {"start": 1485.53, "end": 1485.95, "word": " الصورة", "probability": 0.9889322916666666}, {"start": 1485.95, "end": 1486.67, "word": " مجلوبة", "probability": 0.9240234375}, {"start": 1486.67, "end": 1487.05, "word": " و", "probability": 0.357421875}, {"start": 1487.05, "end": 1487.15, "word": " لا", "probability": 0.95703125}, {"start": 1487.15, "end": 1487.63, "word": " الصورة", "probability": 0.90234375}, {"start": 1487.63, "end": 1488.25, "word": " معتادلة", "probability": 0.88037109375}, {"start": 1488.25, "end": 1488.37, "word": " و", "probability": 0.673828125}, {"start": 1488.37, "end": 1488.49, "word": " لا", "probability": 0.9765625}, {"start": 1488.49, "end": 1489.05, "word": " الصورة", "probability": 0.97607421875}, {"start": 1489.05, "end": 1489.95, "word": " معتادلة", "probability": 0.9769287109375}, {"start": 1489.95, "end": 1491.75, "word": " طبعا", "probability": 0.9757080078125}, {"start": 1491.75, "end": 1492.11, "word": " هذا", "probability": 0.484130859375}, {"start": 1492.11, "end": 1492.71, "word": " sign", "probability": 0.4580078125}, {"start": 1492.71, "end": 1493.27, "word": " convention", "probability": 0.94580078125}, {"start": 1493.27, "end": 1493.51, "word": " أو", "probability": 0.74755859375}, {"start": 1493.51, "end": 1493.99, "word": " العلامة", "probability": 0.89599609375}, {"start": 1493.99, "end": 1494.07, "word": " اللي", "probability": 0.8564453125}, {"start": 1494.07, "end": 1494.75, "word": " بنعطيها", "probability": 0.870166015625}], "temperature": 1.0}, {"id": 63, "seek": 151923, "start": 1495.11, "end": 1519.23, "text": "plus or minus consistent with the established convention for transverse magnification object distance is measured from the object to the anterior nodal point and image distance", "tokens": [18954, 420, 3175, 8398, 365, 264, 7545, 10286, 337, 1145, 4308, 4944, 3774, 2657, 4560, 307, 12690, 490, 264, 2657, 281, 264, 22272, 15224, 304, 935, 293, 3256, 4560], "avg_logprob": -0.21953125298023224, "compression_ratio": 1.4789915966386555, "no_speech_prob": 3.236532211303711e-05, "words": [{"start": 1495.11, "end": 1495.49, "word": "plus", "probability": 0.26953125}, {"start": 1495.49, "end": 1495.79, "word": " or", "probability": 0.908203125}, {"start": 1495.79, "end": 1496.17, "word": " minus", "probability": 0.9853515625}, {"start": 1496.17, "end": 1496.89, "word": " consistent", "probability": 0.8095703125}, {"start": 1496.89, "end": 1497.37, "word": " with", "probability": 0.91455078125}, {"start": 1497.37, "end": 1497.57, "word": " the", "probability": 0.489990234375}, {"start": 1497.57, "end": 1498.13, "word": " established", "probability": 0.85986328125}, {"start": 1498.13, "end": 1498.79, "word": " convention", "probability": 0.88232421875}, {"start": 1498.79, "end": 1499.11, "word": " for", "probability": 0.9033203125}, {"start": 1499.11, "end": 1499.67, "word": " transverse", "probability": 0.603515625}, {"start": 1499.67, "end": 1500.43, "word": " magnification", "probability": 0.96533203125}, {"start": 1500.43, "end": 1506.09, "word": " object", "probability": 0.36669921875}, {"start": 1506.09, "end": 1514.03, "word": " distance", "probability": 0.90625}, {"start": 1514.03, "end": 1514.35, "word": " is", "probability": 0.9375}, {"start": 1514.35, "end": 1514.75, "word": " measured", "probability": 0.66552734375}, {"start": 1514.75, "end": 1515.15, "word": " from", "probability": 0.89453125}, {"start": 1515.15, "end": 1515.37, "word": " the", "probability": 0.861328125}, {"start": 1515.37, "end": 1515.85, "word": " object", "probability": 0.96875}, {"start": 1515.85, "end": 1516.27, "word": " to", "probability": 0.958984375}, {"start": 1516.27, "end": 1516.43, "word": " the", "probability": 0.8935546875}, {"start": 1516.43, "end": 1516.89, "word": " anterior", "probability": 0.95556640625}, {"start": 1516.89, "end": 1517.41, "word": " nodal", "probability": 0.978515625}, {"start": 1517.41, "end": 1517.81, "word": " point", "probability": 0.97216796875}, {"start": 1517.81, "end": 1518.31, "word": " and", "probability": 0.8154296875}, {"start": 1518.31, "end": 1518.67, "word": " image", "probability": 0.8974609375}, {"start": 1518.67, "end": 1519.23, "word": " distance", "probability": 0.9228515625}], "temperature": 1.0}, {"id": 64, "seek": 154495, "start": 1519.37, "end": 1544.95, "text": "is measured from the posterior nodal point to the image when we move, we say as follows to measure the object distance, the object distance is the distance from the object to the anterior nodal point and the image distance from the posterior nodal point to the image that is, from here to here is the distance of the object and from here to here is the distance of the image", "tokens": [271, 12690, 490, 264, 33529, 15224, 304, 935, 281, 264, 3256, 562, 321, 1286, 11, 321, 584, 382, 10002, 281, 3481, 264, 2657, 4560, 11, 264, 2657, 4560, 307, 264, 4560, 490, 264, 2657, 281, 264, 22272, 15224, 304, 935, 293, 264, 3256, 4560, 490, 264, 33529, 15224, 304, 935, 281, 264, 3256, 300, 307, 11, 490, 510, 281, 510, 307, 264, 4560, 295, 264, 2657, 293, 490, 510, 281, 510, 307, 264, 4560, 295, 264, 3256], "avg_logprob": -0.23998396824567747, "compression_ratio": 2.5616438356164384, "no_speech_prob": 2.3245811462402344e-06, "words": [{"start": 1519.37, "end": 1519.71, "word": "is", "probability": 0.8056640625}, {"start": 1519.71, "end": 1520.31, "word": " measured", "probability": 0.814453125}, {"start": 1520.31, "end": 1520.91, "word": " from", "probability": 0.90576171875}, {"start": 1520.91, "end": 1521.13, "word": " the", "probability": 0.86572265625}, {"start": 1521.13, "end": 1521.61, "word": " posterior", "probability": 0.7705078125}, {"start": 1521.61, "end": 1522.11, "word": " nodal", "probability": 0.9775390625}, {"start": 1522.11, "end": 1522.45, "word": " point", "probability": 0.97216796875}, {"start": 1522.45, "end": 1522.75, "word": " to", "probability": 0.9677734375}, {"start": 1522.75, "end": 1522.91, "word": " the", "probability": 0.9150390625}, {"start": 1522.91, "end": 1523.19, "word": " image", "probability": 0.93310546875}, {"start": 1523.19, "end": 1523.59, "word": " when", "probability": 0.435546875}, {"start": 1523.59, "end": 1523.95, "word": " we", "probability": 0.9375}, {"start": 1523.95, "end": 1524.47, "word": " move,", "probability": 0.84765625}, {"start": 1524.69, "end": 1524.81, "word": " we", "probability": 0.5283203125}, {"start": 1524.81, "end": 1525.05, "word": " say", "probability": 0.81298828125}, {"start": 1525.05, "end": 1525.23, "word": " as", "probability": 0.69384765625}, {"start": 1525.23, "end": 1525.65, "word": " follows", "probability": 0.5927734375}, {"start": 1525.65, "end": 1527.21, "word": " to", "probability": 0.4619140625}, {"start": 1527.21, "end": 1527.59, "word": " measure", "probability": 0.77197265625}, {"start": 1527.59, "end": 1527.77, "word": " the", "probability": 0.411865234375}, {"start": 1527.77, "end": 1528.07, "word": " object", "probability": 0.9619140625}, {"start": 1528.07, "end": 1528.65, "word": " distance,", "probability": 0.923828125}, {"start": 1528.75, "end": 1528.81, "word": " the", "probability": 0.52783203125}, {"start": 1528.81, "end": 1529.07, "word": " object", "probability": 0.734375}, {"start": 1529.07, "end": 1529.53, "word": " distance", "probability": 0.9111328125}, {"start": 1529.53, "end": 1529.75, "word": " is", "probability": 0.89794921875}, {"start": 1529.75, "end": 1529.91, "word": " the", "probability": 0.8466796875}, {"start": 1529.91, "end": 1530.17, "word": " distance", "probability": 0.93505859375}, {"start": 1530.17, "end": 1530.47, "word": " from", "probability": 0.82958984375}, {"start": 1530.47, "end": 1530.65, "word": " the", "probability": 0.892578125}, {"start": 1530.65, "end": 1531.13, "word": " object", "probability": 0.96630859375}, {"start": 1531.13, "end": 1531.71, "word": " to", "probability": 0.96533203125}, {"start": 1531.71, "end": 1531.83, "word": " the", "probability": 0.76904296875}, {"start": 1531.83, "end": 1532.41, "word": " anterior", "probability": 0.96484375}, {"start": 1532.41, "end": 1532.97, "word": " nodal", "probability": 0.9716796875}, {"start": 1532.97, "end": 1533.35, "word": " point", "probability": 0.9755859375}, {"start": 1533.35, "end": 1534.85, "word": " and", "probability": 0.76318359375}, {"start": 1534.85, "end": 1534.95, "word": " the", "probability": 0.7646484375}, {"start": 1534.95, "end": 1535.21, "word": " image", "probability": 0.93017578125}, {"start": 1535.21, "end": 1535.73, "word": " distance", "probability": 0.9306640625}, {"start": 1535.73, "end": 1535.97, "word": " from", "probability": 0.57763671875}, {"start": 1535.97, "end": 1536.11, "word": " the", "probability": 0.8740234375}, {"start": 1536.11, "end": 1536.65, "word": " posterior", "probability": 0.84912109375}, {"start": 1536.65, "end": 1537.21, "word": " nodal", "probability": 0.965576171875}, {"start": 1537.21, "end": 1537.65, "word": " point", "probability": 0.96923828125}, {"start": 1537.65, "end": 1538.23, "word": " to", "probability": 0.95361328125}, {"start": 1538.23, "end": 1538.49, "word": " the", "probability": 0.912109375}, {"start": 1538.49, "end": 1538.75, "word": " image", "probability": 0.92138671875}, {"start": 1538.75, "end": 1539.03, "word": " that", "probability": 0.120361328125}, {"start": 1539.03, "end": 1539.15, "word": " is,", "probability": 0.79150390625}, {"start": 1539.19, "end": 1539.65, "word": " from", "probability": 0.79345703125}, {"start": 1539.65, "end": 1539.95, "word": " here", "probability": 0.8193359375}, {"start": 1539.95, "end": 1540.55, "word": " to", "probability": 0.9638671875}, {"start": 1540.55, "end": 1540.77, "word": " here", "probability": 0.83251953125}, {"start": 1540.77, "end": 1540.93, "word": " is", "probability": 0.473876953125}, {"start": 1540.93, "end": 1540.93, "word": " the", "probability": 0.90869140625}, {"start": 1540.93, "end": 1541.13, "word": " distance", "probability": 0.53076171875}, {"start": 1541.13, "end": 1541.31, "word": " of", "probability": 0.62890625}, {"start": 1541.31, "end": 1541.39, "word": " the", "probability": 0.89501953125}, {"start": 1541.39, "end": 1541.73, "word": " object", "probability": 0.970703125}, {"start": 1541.73, "end": 1542.35, "word": " and", "probability": 0.77783203125}, {"start": 1542.35, "end": 1542.51, "word": " from", "probability": 0.8623046875}, {"start": 1542.51, "end": 1542.83, "word": " here", "probability": 0.861328125}, {"start": 1542.83, "end": 1543.17, "word": " to", "probability": 0.96875}, {"start": 1543.17, "end": 1543.41, "word": " here", "probability": 0.86328125}, {"start": 1543.41, "end": 1543.69, "word": " is", "probability": 0.86328125}, {"start": 1543.69, "end": 1543.69, "word": " the", "probability": 0.91259765625}, {"start": 1543.69, "end": 1544.03, "word": " distance", "probability": 0.92236328125}, {"start": 1544.03, "end": 1544.55, "word": " of", "probability": 0.9609375}, {"start": 1544.55, "end": 1544.69, "word": " the", "probability": 0.90673828125}, {"start": 1544.69, "end": 1544.95, "word": " image", "probability": 0.9228515625}], "temperature": 1.0}, {"id": 65, "seek": 155510, "start": 1547.84, "end": 1555.1, "text": "For a simple thin lens immersed in a uniform medium such as air, the nodal points overlap in the center,", "tokens": [12587, 257, 2199, 5862, 6765, 35416, 294, 257, 9452, 6399, 1270, 382, 1988, 11, 264, 15224, 304, 2793, 19959, 294, 264, 3056, 11], "avg_logprob": -0.1583658860375484, "compression_ratio": 1.2093023255813953, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1547.84, "end": 1548.18, "word": "For", "probability": 0.6357421875}, {"start": 1548.18, "end": 1548.38, "word": " a", "probability": 0.99169921875}, {"start": 1548.38, "end": 1548.72, "word": " simple", "probability": 0.9501953125}, {"start": 1548.72, "end": 1549.12, "word": " thin", "probability": 0.580078125}, {"start": 1549.12, "end": 1549.54, "word": " lens", "probability": 0.93896484375}, {"start": 1549.54, "end": 1550.04, "word": " immersed", "probability": 0.8173828125}, {"start": 1550.04, "end": 1550.3, "word": " in", "probability": 0.9580078125}, {"start": 1550.3, "end": 1550.5, "word": " a", "probability": 0.60595703125}, {"start": 1550.5, "end": 1550.98, "word": " uniform", "probability": 0.97705078125}, {"start": 1550.98, "end": 1551.44, "word": " medium", "probability": 0.92822265625}, {"start": 1551.44, "end": 1551.74, "word": " such", "probability": 0.89794921875}, {"start": 1551.74, "end": 1552.1, "word": " as", "probability": 0.9765625}, {"start": 1552.1, "end": 1552.48, "word": " air,", "probability": 0.88330078125}, {"start": 1552.8, "end": 1552.92, "word": " the", "probability": 0.90576171875}, {"start": 1552.92, "end": 1553.34, "word": " nodal", "probability": 0.975341796875}, {"start": 1553.34, "end": 1553.68, "word": " points", "probability": 0.916015625}, {"start": 1553.68, "end": 1554.38, "word": " overlap", "probability": 0.9267578125}, {"start": 1554.38, "end": 1554.6, "word": " in", "probability": 0.94482421875}, {"start": 1554.6, "end": 1554.76, "word": " the", "probability": 0.927734375}, {"start": 1554.76, "end": 1555.1, "word": " center,", "probability": 0.79931640625}], "temperature": 1.0}, {"id": 66, "seek": 158311, "start": 1555.49, "end": 1583.11, "text": "of the lens. We say when I have a high lens, submerged or present in a mixed medium, uniform medium, what is uniform medium? It means what is in front of it is the same as what is behind it, it means air and air, water and water. Well, can there be lenses that have something in front of it and something behind it? Yes, for example, like the cornea lens, the cornea of the eye, in front of it is air and behind it is the liquid of the eye, which is the aqueous", "tokens": [2670, 264, 6765, 13, 492, 584, 562, 286, 362, 257, 1090, 6765, 11, 46985, 420, 1974, 294, 257, 7467, 6399, 11, 9452, 6399, 11, 437, 307, 9452, 6399, 30, 467, 1355, 437, 307, 294, 1868, 295, 309, 307, 264, 912, 382, 437, 307, 2261, 309, 11, 309, 1355, 1988, 293, 1988, 11, 1281, 293, 1281, 13, 1042, 11, 393, 456, 312, 18059, 300, 362, 746, 294, 1868, 295, 309, 293, 746, 2261, 309, 30, 1079, 11, 337, 1365, 11, 411, 264, 1181, 22160, 6765, 11, 264, 1181, 22160, 295, 264, 3313, 11, 294, 1868, 295, 309, 307, 1988, 293, 2261, 309, 307, 264, 6553, 295, 264, 3313, 11, 597, 307, 264, 2373, 14316], "avg_logprob": -0.4300986734921472, "compression_ratio": 1.9870689655172413, "no_speech_prob": 1.1801719665527344e-05, "words": [{"start": 1555.49, "end": 1555.87, "word": "of", "probability": 0.64111328125}, {"start": 1555.87, "end": 1556.21, "word": " the", "probability": 0.728515625}, {"start": 1556.21, "end": 1556.47, "word": " lens.", "probability": 0.94873046875}, {"start": 1556.73, "end": 1556.81, "word": " We", "probability": 0.587890625}, {"start": 1556.81, "end": 1557.07, "word": " say", "probability": 0.79736328125}, {"start": 1557.07, "end": 1557.33, "word": " when", "probability": 0.517578125}, {"start": 1557.33, "end": 1557.89, "word": " I", "probability": 0.7412109375}, {"start": 1557.89, "end": 1557.99, "word": " have", "probability": 0.9306640625}, {"start": 1557.99, "end": 1558.13, "word": " a", "probability": 0.94091796875}, {"start": 1558.13, "end": 1558.71, "word": " high", "probability": 0.56005859375}, {"start": 1558.71, "end": 1558.99, "word": " lens,", "probability": 0.7548828125}, {"start": 1559.45, "end": 1559.85, "word": " submerged", "probability": 0.2049560546875}, {"start": 1559.85, "end": 1560.45, "word": " or", "probability": 0.84228515625}, {"start": 1560.45, "end": 1560.91, "word": " present", "probability": 0.28515625}, {"start": 1560.91, "end": 1561.17, "word": " in", "probability": 0.9072265625}, {"start": 1561.17, "end": 1561.61, "word": " a", "probability": 0.7138671875}, {"start": 1561.61, "end": 1561.91, "word": " mixed", "probability": 0.10369873046875}, {"start": 1561.91, "end": 1562.21, "word": " medium,", "probability": 0.72802734375}, {"start": 1562.61, "end": 1563.11, "word": " uniform", "probability": 0.8896484375}, {"start": 1563.11, "end": 1563.81, "word": " medium,", "probability": 0.904296875}, {"start": 1564.17, "end": 1564.53, "word": " what", "probability": 0.361328125}, {"start": 1564.53, "end": 1564.67, "word": " is", "probability": 0.52099609375}, {"start": 1564.67, "end": 1565.15, "word": " uniform", "probability": 0.6689453125}, {"start": 1565.15, "end": 1565.57, "word": " medium?", "probability": 0.91552734375}, {"start": 1565.63, "end": 1565.83, "word": " It", "probability": 0.36279296875}, {"start": 1565.83, "end": 1565.93, "word": " means", "probability": 0.70361328125}, {"start": 1565.93, "end": 1566.35, "word": " what", "probability": 0.478271484375}, {"start": 1566.35, "end": 1566.41, "word": " is", "probability": 0.64892578125}, {"start": 1566.41, "end": 1566.59, "word": " in", "probability": 0.826171875}, {"start": 1566.59, "end": 1566.79, "word": " front", "probability": 0.95458984375}, {"start": 1566.79, "end": 1566.95, "word": " of", "probability": 0.84228515625}, {"start": 1566.95, "end": 1566.95, "word": " it", "probability": 0.8095703125}, {"start": 1566.95, "end": 1567.13, "word": " is", "probability": 0.7763671875}, {"start": 1567.13, "end": 1567.23, "word": " the", "probability": 0.7431640625}, {"start": 1567.23, "end": 1567.37, "word": " same", "probability": 0.890625}, {"start": 1567.37, "end": 1567.59, "word": " as", "probability": 0.80859375}, {"start": 1567.59, "end": 1567.65, "word": " what", "probability": 0.397216796875}, {"start": 1567.65, "end": 1567.65, "word": " is", "probability": 0.85986328125}, {"start": 1567.65, "end": 1567.81, "word": " behind", "probability": 0.94189453125}, {"start": 1567.81, "end": 1567.95, "word": " it,", "probability": 0.927734375}, {"start": 1568.01, "end": 1568.01, "word": " it", "probability": 0.2470703125}, {"start": 1568.01, "end": 1568.67, "word": " means", "probability": 0.76513671875}, {"start": 1568.67, "end": 1570.25, "word": " air", "probability": 0.77294921875}, {"start": 1570.25, "end": 1570.61, "word": " and", "probability": 0.89697265625}, {"start": 1570.61, "end": 1570.89, "word": " air,", "probability": 0.884765625}, {"start": 1571.09, "end": 1571.39, "word": " water", "probability": 0.80908203125}, {"start": 1571.39, "end": 1571.67, "word": " and", "probability": 0.93994140625}, {"start": 1571.67, "end": 1571.91, "word": " water.", "probability": 0.86865234375}, {"start": 1571.99, "end": 1572.11, "word": " Well,", "probability": 0.2357177734375}, {"start": 1572.17, "end": 1572.43, "word": " can", "probability": 0.481201171875}, {"start": 1572.43, "end": 1572.67, "word": " there", "probability": 0.69482421875}, {"start": 1572.67, "end": 1572.97, "word": " be", "probability": 0.95947265625}, {"start": 1572.97, "end": 1573.41, "word": " lenses", "probability": 0.912109375}, {"start": 1573.41, "end": 1574.05, "word": " that", "probability": 0.223876953125}, {"start": 1574.05, "end": 1574.21, "word": " have", "probability": 0.59423828125}, {"start": 1574.21, "end": 1574.21, "word": " something", "probability": 0.6611328125}, {"start": 1574.21, "end": 1574.21, "word": " in", "probability": 0.89013671875}, {"start": 1574.21, "end": 1574.45, "word": " front", "probability": 0.94873046875}, {"start": 1574.45, "end": 1574.53, "word": " of", "probability": 0.7978515625}, {"start": 1574.53, "end": 1574.63, "word": " it", "probability": 0.4541015625}, {"start": 1574.63, "end": 1575.07, "word": " and", "probability": 0.86865234375}, {"start": 1575.07, "end": 1575.27, "word": " something", "probability": 0.6337890625}, {"start": 1575.27, "end": 1575.27, "word": " behind", "probability": 0.5849609375}, {"start": 1575.27, "end": 1575.57, "word": " it?", "probability": 0.93017578125}, {"start": 1576.09, "end": 1576.27, "word": " Yes,", "probability": 0.904296875}, {"start": 1576.41, "end": 1576.53, "word": " for", "probability": 0.830078125}, {"start": 1576.53, "end": 1576.71, "word": " example,", "probability": 0.94580078125}, {"start": 1576.85, "end": 1577.01, "word": " like", "probability": 0.61181640625}, {"start": 1577.01, "end": 1577.07, "word": " the", "probability": 0.412109375}, {"start": 1577.07, "end": 1577.91, "word": " cornea", "probability": 0.2974853515625}, {"start": 1577.91, "end": 1577.95, "word": " lens,", "probability": 0.52001953125}, {"start": 1578.07, "end": 1578.11, "word": " the", "probability": 0.349365234375}, {"start": 1578.11, "end": 1578.39, "word": " cornea", "probability": 0.88671875}, {"start": 1578.39, "end": 1578.61, "word": " of", "probability": 0.96826171875}, {"start": 1578.61, "end": 1578.65, "word": " the", "probability": 0.919921875}, {"start": 1578.65, "end": 1578.79, "word": " eye,", "probability": 0.91162109375}, {"start": 1578.97, "end": 1579.01, "word": " in", "probability": 0.417724609375}, {"start": 1579.01, "end": 1579.15, "word": " front", "probability": 0.94970703125}, {"start": 1579.15, "end": 1579.21, "word": " of", "probability": 0.95556640625}, {"start": 1579.21, "end": 1579.37, "word": " it", "probability": 0.90869140625}, {"start": 1579.37, "end": 1579.37, "word": " is", "probability": 0.37890625}, {"start": 1579.37, "end": 1579.61, "word": " air", "probability": 0.82373046875}, {"start": 1579.61, "end": 1580.21, "word": " and", "probability": 0.58154296875}, {"start": 1580.21, "end": 1580.49, "word": " behind", "probability": 0.92822265625}, {"start": 1580.49, "end": 1580.77, "word": " it", "probability": 0.9345703125}, {"start": 1580.77, "end": 1581.25, "word": " is", "probability": 0.56689453125}, {"start": 1581.25, "end": 1581.35, "word": " the", "probability": 0.58251953125}, {"start": 1581.35, "end": 1581.67, "word": " liquid", "probability": 0.3427734375}, {"start": 1581.67, "end": 1581.87, "word": " of", "probability": 0.8935546875}, {"start": 1581.87, "end": 1581.93, "word": " the", "probability": 0.927734375}, {"start": 1581.93, "end": 1582.11, "word": " eye,", "probability": 0.9130859375}, {"start": 1582.23, "end": 1582.27, "word": " which", "probability": 0.89892578125}, {"start": 1582.27, "end": 1582.45, "word": " is", "probability": 0.94873046875}, {"start": 1582.45, "end": 1582.59, "word": " the", "probability": 0.65478515625}, {"start": 1582.59, "end": 1583.11, "word": " aqueous", "probability": 0.6025390625}], "temperature": 1.0}, {"id": 67, "seek": 160738, "start": 1583.24, "end": 1607.38, "text": "The humor that exists in the anterior chamber. So, not all lenses exist in a homogenous environment Some exist in a non-homogenous environment The homogenous environment is that in front of the lens is the same as behind the lens Like the lens when we hold it in the open air and we are in front of it, in front of it means in front of its surface Or the front surface is touching the air and the back surface is touching the air", "tokens": [2278, 14318, 300, 8198, 294, 264, 22272, 13610, 13, 407, 11, 406, 439, 18059, 2514, 294, 257, 3655, 45519, 2823, 2188, 2514, 294, 257, 2107, 12, 71, 298, 45519, 2823, 440, 3655, 45519, 2823, 307, 300, 294, 1868, 295, 264, 6765, 307, 264, 912, 382, 2261, 264, 6765, 1743, 264, 6765, 562, 321, 1797, 309, 294, 264, 1269, 1988, 293, 321, 366, 294, 1868, 295, 309, 11, 294, 1868, 295, 309, 1355, 294, 1868, 295, 1080, 3753, 1610, 264, 1868, 3753, 307, 11175, 264, 1988, 293, 264, 646, 3753, 307, 11175, 264, 1988], "avg_logprob": -0.3989361730661798, "compression_ratio": 2.145, "no_speech_prob": 1.3947486877441406e-05, "words": [{"start": 1583.24, "end": 1583.6, "word": "The", "probability": 0.2301025390625}, {"start": 1583.6, "end": 1583.92, "word": " humor", "probability": 0.63037109375}, {"start": 1583.92, "end": 1584.2, "word": " that", "probability": 0.51220703125}, {"start": 1584.2, "end": 1584.5, "word": " exists", "probability": 0.308837890625}, {"start": 1584.5, "end": 1584.64, "word": " in", "probability": 0.8935546875}, {"start": 1584.64, "end": 1584.72, "word": " the", "probability": 0.72216796875}, {"start": 1584.72, "end": 1585.08, "word": " anterior", "probability": 0.87890625}, {"start": 1585.08, "end": 1585.52, "word": " chamber.", "probability": 0.92138671875}, {"start": 1585.64, "end": 1585.8, "word": " So,", "probability": 0.86328125}, {"start": 1585.88, "end": 1585.98, "word": " not", "probability": 0.88720703125}, {"start": 1585.98, "end": 1586.26, "word": " all", "probability": 0.95068359375}, {"start": 1586.26, "end": 1586.66, "word": " lenses", "probability": 0.81787109375}, {"start": 1586.66, "end": 1587.72, "word": " exist", "probability": 0.3623046875}, {"start": 1587.72, "end": 1587.96, "word": " in", "probability": 0.90185546875}, {"start": 1587.96, "end": 1588.18, "word": " a", "probability": 0.3671875}, {"start": 1588.18, "end": 1588.86, "word": " homogenous", "probability": 0.5322265625}, {"start": 1588.86, "end": 1588.86, "word": " environment", "probability": 0.4873046875}, {"start": 1588.86, "end": 1589.24, "word": " Some", "probability": 0.36767578125}, {"start": 1589.24, "end": 1589.78, "word": " exist", "probability": 0.497314453125}, {"start": 1589.78, "end": 1590.32, "word": " in", "probability": 0.92529296875}, {"start": 1590.32, "end": 1590.72, "word": " a", "probability": 0.63916015625}, {"start": 1590.72, "end": 1590.96, "word": " non", "probability": 0.7978515625}, {"start": 1590.96, "end": 1591.76, "word": "-homogenous", "probability": 0.8018798828125}, {"start": 1591.76, "end": 1591.76, "word": " environment", "probability": 0.91748046875}, {"start": 1591.76, "end": 1592.94, "word": " The", "probability": 0.70166015625}, {"start": 1592.94, "end": 1593.94, "word": " homogenous", "probability": 0.96240234375}, {"start": 1593.94, "end": 1593.94, "word": " environment", "probability": 0.90869140625}, {"start": 1593.94, "end": 1594.24, "word": " is", "probability": 0.70361328125}, {"start": 1594.24, "end": 1594.38, "word": " that", "probability": 0.66845703125}, {"start": 1594.38, "end": 1594.58, "word": " in", "probability": 0.56201171875}, {"start": 1594.58, "end": 1594.76, "word": " front", "probability": 0.93994140625}, {"start": 1594.76, "end": 1594.86, "word": " of", "probability": 0.96875}, {"start": 1594.86, "end": 1594.96, "word": " the", "probability": 0.89990234375}, {"start": 1594.96, "end": 1595.28, "word": " lens", "probability": 0.7587890625}, {"start": 1595.28, "end": 1595.94, "word": " is", "probability": 0.414794921875}, {"start": 1595.94, "end": 1596.12, "word": " the", "probability": 0.783203125}, {"start": 1596.12, "end": 1596.3, "word": " same", "probability": 0.8505859375}, {"start": 1596.3, "end": 1596.46, "word": " as", "probability": 0.53564453125}, {"start": 1596.46, "end": 1596.7, "word": " behind", "probability": 0.8564453125}, {"start": 1596.7, "end": 1596.86, "word": " the", "probability": 0.7275390625}, {"start": 1596.86, "end": 1597.22, "word": " lens", "probability": 0.9111328125}, {"start": 1597.22, "end": 1597.78, "word": " Like", "probability": 0.5107421875}, {"start": 1597.78, "end": 1597.94, "word": " the", "probability": 0.50439453125}, {"start": 1597.94, "end": 1598.18, "word": " lens", "probability": 0.7783203125}, {"start": 1598.18, "end": 1598.36, "word": " when", "probability": 0.48583984375}, {"start": 1598.36, "end": 1598.58, "word": " we", "probability": 0.7861328125}, {"start": 1598.58, "end": 1598.8, "word": " hold", "probability": 0.6640625}, {"start": 1598.8, "end": 1598.94, "word": " it", "probability": 0.87353515625}, {"start": 1598.94, "end": 1599.02, "word": " in", "probability": 0.77685546875}, {"start": 1599.02, "end": 1599.14, "word": " the", "probability": 0.82666015625}, {"start": 1599.14, "end": 1599.86, "word": " open", "probability": 0.1195068359375}, {"start": 1599.86, "end": 1599.86, "word": " air", "probability": 0.9169921875}, {"start": 1599.86, "end": 1600.32, "word": " and", "probability": 0.396484375}, {"start": 1600.32, "end": 1600.36, "word": " we", "probability": 0.7060546875}, {"start": 1600.36, "end": 1600.54, "word": " are", "probability": 0.8212890625}, {"start": 1600.54, "end": 1600.76, "word": " in", "probability": 0.90283203125}, {"start": 1600.76, "end": 1600.92, "word": " front", "probability": 0.95947265625}, {"start": 1600.92, "end": 1601.0, "word": " of", "probability": 0.94189453125}, {"start": 1601.0, "end": 1601.06, "word": " it,", "probability": 0.9169921875}, {"start": 1601.12, "end": 1601.24, "word": " in", "probability": 0.52587890625}, {"start": 1601.24, "end": 1601.4, "word": " front", "probability": 0.95654296875}, {"start": 1601.4, "end": 1601.48, "word": " of", "probability": 0.93408203125}, {"start": 1601.48, "end": 1601.48, "word": " it", "probability": 0.58349609375}, {"start": 1601.48, "end": 1601.66, "word": " means", "probability": 0.270263671875}, {"start": 1601.66, "end": 1601.8, "word": " in", "probability": 0.7099609375}, {"start": 1601.8, "end": 1601.9, "word": " front", "probability": 0.9541015625}, {"start": 1601.9, "end": 1602.02, "word": " of", "probability": 0.96826171875}, {"start": 1602.02, "end": 1602.56, "word": " its", "probability": 0.71484375}, {"start": 1602.56, "end": 1602.56, "word": " surface", "probability": 0.755859375}, {"start": 1602.56, "end": 1603.28, "word": " Or", "probability": 0.6201171875}, {"start": 1603.28, "end": 1603.42, "word": " the", "probability": 0.666015625}, {"start": 1603.42, "end": 1604.06, "word": " front", "probability": 0.599609375}, {"start": 1604.06, "end": 1604.2, "word": " surface", "probability": 0.8818359375}, {"start": 1604.2, "end": 1604.36, "word": " is", "probability": 0.380859375}, {"start": 1604.36, "end": 1604.62, "word": " touching", "probability": 0.243408203125}, {"start": 1604.62, "end": 1604.92, "word": " the", "probability": 0.90625}, {"start": 1604.92, "end": 1605.1, "word": " air", "probability": 0.7978515625}, {"start": 1605.1, "end": 1605.28, "word": " and", "probability": 0.7880859375}, {"start": 1605.28, "end": 1605.36, "word": " the", "probability": 0.83544921875}, {"start": 1605.36, "end": 1605.46, "word": " back", "probability": 0.72998046875}, {"start": 1605.46, "end": 1606.1, "word": " surface", "probability": 0.8603515625}, {"start": 1606.1, "end": 1606.6, "word": " is", "probability": 0.66552734375}, {"start": 1606.6, "end": 1606.9, "word": " touching", "probability": 0.86328125}, {"start": 1606.9, "end": 1607.16, "word": " the", "probability": 0.8681640625}, {"start": 1607.16, "end": 1607.38, "word": " air", "probability": 0.88134765625}], "temperature": 1.0}, {"id": 68, "seek": 162840, "start": 1607.68, "end": 1628.4, "text": "and consequently it is called uniform medium, which means it exists in a homogeneous environment In the case of a high lens, a thin lens, not a low lens, in a homogeneous environment, the anterior and posterior nodal points overlap, which means they come to each other and there is no distance between them", "tokens": [474, 47259, 309, 307, 1219, 9452, 6399, 11, 597, 1355, 309, 8198, 294, 257, 42632, 2823, 682, 264, 1389, 295, 257, 1090, 6765, 11, 257, 5862, 6765, 11, 406, 257, 2295, 6765, 11, 294, 257, 42632, 2823, 11, 264, 22272, 293, 33529, 15224, 304, 2793, 19959, 11, 597, 1355, 436, 808, 281, 1184, 661, 293, 456, 307, 572, 4560, 1296, 552], "avg_logprob": -0.46118951612903225, "compression_ratio": 1.728813559322034, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 1607.68, "end": 1607.92, "word": "and", "probability": 0.468994140625}, {"start": 1607.92, "end": 1608.22, "word": " consequently", "probability": 0.11346435546875}, {"start": 1608.22, "end": 1608.44, "word": " it", "probability": 0.53759765625}, {"start": 1608.44, "end": 1608.56, "word": " is", "probability": 0.57080078125}, {"start": 1608.56, "end": 1609.02, "word": " called", "probability": 0.900390625}, {"start": 1609.02, "end": 1609.7, "word": " uniform", "probability": 0.67431640625}, {"start": 1609.7, "end": 1610.4, "word": " medium,", "probability": 0.82080078125}, {"start": 1610.52, "end": 1610.66, "word": " which", "probability": 0.28173828125}, {"start": 1610.66, "end": 1610.66, "word": " means", "probability": 0.849609375}, {"start": 1610.66, "end": 1610.78, "word": " it", "probability": 0.455322265625}, {"start": 1610.78, "end": 1611.0, "word": " exists", "probability": 0.30859375}, {"start": 1611.0, "end": 1611.24, "word": " in", "probability": 0.75927734375}, {"start": 1611.24, "end": 1611.98, "word": " a", "probability": 0.480224609375}, {"start": 1611.98, "end": 1612.52, "word": " homogeneous", "probability": 0.366943359375}, {"start": 1612.52, "end": 1612.52, "word": " environment", "probability": 0.361083984375}, {"start": 1612.52, "end": 1612.98, "word": " In", "probability": 0.390380859375}, {"start": 1612.98, "end": 1613.1, "word": " the", "probability": 0.428955078125}, {"start": 1613.1, "end": 1613.28, "word": " case", "probability": 0.7626953125}, {"start": 1613.28, "end": 1613.74, "word": " of", "probability": 0.9599609375}, {"start": 1613.74, "end": 1613.86, "word": " a", "probability": 0.60205078125}, {"start": 1613.86, "end": 1613.88, "word": " high", "probability": 0.475341796875}, {"start": 1613.88, "end": 1614.64, "word": " lens,", "probability": 0.69775390625}, {"start": 1614.78, "end": 1614.84, "word": " a", "probability": 0.7314453125}, {"start": 1614.84, "end": 1615.4, "word": " thin", "probability": 0.505859375}, {"start": 1615.4, "end": 1615.64, "word": " lens,", "probability": 0.93212890625}, {"start": 1615.96, "end": 1616.08, "word": " not", "probability": 0.888671875}, {"start": 1616.08, "end": 1616.14, "word": " a", "probability": 0.8603515625}, {"start": 1616.14, "end": 1616.64, "word": " low", "probability": 0.51708984375}, {"start": 1616.64, "end": 1616.78, "word": " lens,", "probability": 0.85986328125}, {"start": 1617.12, "end": 1617.2, "word": " in", "probability": 0.72412109375}, {"start": 1617.2, "end": 1617.7, "word": " a", "probability": 0.87451171875}, {"start": 1617.7, "end": 1618.18, "word": " homogeneous", "probability": 0.8203125}, {"start": 1618.18, "end": 1618.18, "word": " environment,", "probability": 0.9013671875}, {"start": 1618.58, "end": 1618.68, "word": " the", "probability": 0.253173828125}, {"start": 1618.68, "end": 1619.58, "word": " anterior", "probability": 0.92431640625}, {"start": 1619.58, "end": 1619.8, "word": " and", "probability": 0.93310546875}, {"start": 1619.8, "end": 1620.32, "word": " posterior", "probability": 0.81640625}, {"start": 1620.32, "end": 1620.92, "word": " nodal", "probability": 0.982177734375}, {"start": 1620.92, "end": 1622.58, "word": " points", "probability": 0.76025390625}, {"start": 1622.58, "end": 1623.48, "word": " overlap,", "probability": 0.8896484375}, {"start": 1623.76, "end": 1623.94, "word": " which", "probability": 0.4091796875}, {"start": 1623.94, "end": 1623.96, "word": " means", "probability": 0.9091796875}, {"start": 1623.96, "end": 1624.06, "word": " they", "probability": 0.6845703125}, {"start": 1624.06, "end": 1624.26, "word": " come", "probability": 0.418701171875}, {"start": 1624.26, "end": 1624.44, "word": " to", "probability": 0.259521484375}, {"start": 1624.44, "end": 1624.78, "word": " each", "probability": 0.90625}, {"start": 1624.78, "end": 1624.8, "word": " other", "probability": 0.89990234375}, {"start": 1624.8, "end": 1625.26, "word": " and", "probability": 0.48681640625}, {"start": 1625.26, "end": 1625.44, "word": " there", "probability": 0.7509765625}, {"start": 1625.44, "end": 1625.58, "word": " is", "probability": 0.73681640625}, {"start": 1625.58, "end": 1626.14, "word": " no", "probability": 0.880859375}, {"start": 1626.14, "end": 1627.38, "word": " distance", "probability": 0.74755859375}, {"start": 1627.38, "end": 1627.86, "word": " between", "probability": 0.85107421875}, {"start": 1627.86, "end": 1628.4, "word": " them", "probability": 0.91259765625}], "temperature": 1.0}, {"id": 69, "seek": 165024, "start": 1630.2, "end": 1650.24, "text": "overlap in the center of the lens موجودين بكونوا في ال center بتاع ال lens ماننساش أنه لما بنحسب ال transfer magnification ونقول يساوي ال image distance ع ال object distance ماننساش أنه اللي ع اليمين هنعطي إشارة موجب، المسافة اللي ع اليمين هنعطيها إشارة موجبة، والمسافة اللي ع الشمال هنعطيها إشارة", "tokens": [3570, 75, 569, 294, 264, 3056, 295, 264, 6765, 3714, 29245, 23328, 9957, 4724, 30544, 14407, 8978, 2423, 3056, 39894, 45761, 2423, 6765, 19446, 1863, 1863, 3794, 33599, 14739, 3224, 5296, 15042, 44945, 5016, 35457, 2423, 5003, 4944, 3774, 4032, 1863, 39648, 7251, 3794, 995, 45865, 2423, 3256, 4560, 6225, 2423, 2657, 4560, 19446, 1863, 1863, 3794, 33599, 14739, 3224, 13672, 1829, 6225, 2423, 32640, 9957, 8032, 1863, 3615, 9566, 1829, 11933, 8592, 9640, 3660, 3714, 29245, 3555, 12399, 9673, 3794, 31845, 3660, 13672, 1829, 6225, 2423, 32640, 9957, 8032, 1863, 3615, 9566, 1829, 11296, 11933, 8592, 9640, 3660, 3714, 29245, 49401, 12399, 4032, 45340, 3794, 31845, 3660, 13672, 1829, 6225, 25124, 2304, 6027, 8032, 1863, 3615, 9566, 1829, 11296, 11933, 8592, 9640, 3660], "avg_logprob": -0.17549999523162843, "compression_ratio": 2.008771929824561, "no_speech_prob": 7.092952728271484e-06, "words": [{"start": 1630.2, "end": 1630.92, "word": "overlap", "probability": 0.684326171875}, {"start": 1630.92, "end": 1631.18, "word": " in", "probability": 0.87841796875}, {"start": 1631.18, "end": 1631.36, "word": " the", "probability": 0.9208984375}, {"start": 1631.36, "end": 1631.78, "word": " center", "probability": 0.78076171875}, {"start": 1631.78, "end": 1632.02, "word": " of", "probability": 0.9560546875}, {"start": 1632.02, "end": 1632.18, "word": " the", "probability": 0.88427734375}, {"start": 1632.18, "end": 1632.4, "word": " lens", "probability": 0.76513671875}, {"start": 1632.4, "end": 1632.86, "word": " موجودين", "probability": 0.7679443359375}, {"start": 1632.86, "end": 1633.28, "word": " بكونوا", "probability": 0.7472330729166666}, {"start": 1633.28, "end": 1633.36, "word": " في", "probability": 0.7490234375}, {"start": 1633.36, "end": 1633.5, "word": " ال", "probability": 0.74365234375}, {"start": 1633.5, "end": 1633.82, "word": " center", "probability": 0.5888671875}, {"start": 1633.82, "end": 1634.62, "word": " بتاع", "probability": 0.810791015625}, {"start": 1634.62, "end": 1635.08, "word": " ال", "probability": 0.9189453125}, {"start": 1635.08, "end": 1635.3, "word": " lens", "probability": 0.85595703125}, {"start": 1635.3, "end": 1636.16, "word": " ماننساش", "probability": 0.84111328125}, {"start": 1636.16, "end": 1636.42, "word": " أنه", "probability": 0.7021484375}, {"start": 1636.42, "end": 1636.54, "word": " لما", "probability": 0.966796875}, {"start": 1636.54, "end": 1637.24, "word": " بنحسب", "probability": 0.8811848958333334}, {"start": 1637.24, "end": 1637.48, "word": " ال", "probability": 0.6552734375}, {"start": 1637.48, "end": 1637.88, "word": " transfer", "probability": 0.517578125}, {"start": 1637.88, "end": 1638.78, "word": " magnification", "probability": 0.7039794921875}, {"start": 1638.78, "end": 1639.14, "word": " ونقول", "probability": 0.8118489583333334}, {"start": 1639.14, "end": 1639.92, "word": " يساوي", "probability": 0.8521728515625}, {"start": 1639.92, "end": 1640.04, "word": " ال", "probability": 0.94970703125}, {"start": 1640.04, "end": 1640.38, "word": " image", "probability": 0.94873046875}, {"start": 1640.38, "end": 1640.9, "word": " distance", "probability": 0.962890625}, {"start": 1640.9, "end": 1641.06, "word": " ع", "probability": 0.44775390625}, {"start": 1641.06, "end": 1641.12, "word": " ال", "probability": 0.81298828125}, {"start": 1641.12, "end": 1641.38, "word": " object", "probability": 0.98046875}, {"start": 1641.38, "end": 1641.98, "word": " distance", "probability": 0.953125}, {"start": 1641.98, "end": 1642.82, "word": " ماننساش", "probability": 0.984375}, {"start": 1642.82, "end": 1643.08, "word": " أنه", "probability": 0.86279296875}, {"start": 1643.08, "end": 1643.22, "word": " اللي", "probability": 0.93798828125}, {"start": 1643.22, "end": 1643.36, "word": " ع", "probability": 0.72509765625}, {"start": 1643.36, "end": 1643.84, "word": " اليمين", "probability": 0.8458658854166666}, {"start": 1643.84, "end": 1644.3, "word": " هنعطي", "probability": 0.86064453125}, {"start": 1644.3, "end": 1644.76, "word": " إشارة", "probability": 0.87353515625}, {"start": 1644.76, "end": 1645.28, "word": " موجب،", "probability": 0.8114013671875}, {"start": 1645.28, "end": 1645.68, "word": " المسافة", "probability": 0.9381103515625}, {"start": 1645.68, "end": 1645.8, "word": " اللي", "probability": 0.968505859375}, {"start": 1645.8, "end": 1645.88, "word": " ع", "probability": 0.46728515625}, {"start": 1645.88, "end": 1646.06, "word": " اليمين", "probability": 0.8603515625}, {"start": 1646.06, "end": 1646.5, "word": " هنعطيها", "probability": 0.9515787760416666}, {"start": 1646.5, "end": 1646.86, "word": " إشارة", "probability": 0.9945068359375}, {"start": 1646.86, "end": 1647.74, "word": " موجبة،", "probability": 0.8948974609375}, {"start": 1647.74, "end": 1648.38, "word": " والمسافة", "probability": 0.83828125}, {"start": 1648.38, "end": 1648.48, "word": " اللي", "probability": 0.990966796875}, {"start": 1648.48, "end": 1648.62, "word": " ع", "probability": 0.859375}, {"start": 1648.62, "end": 1649.08, "word": " الشمال", "probability": 0.96044921875}, {"start": 1649.08, "end": 1649.64, "word": " هنعطيها", "probability": 0.9921875}, {"start": 1649.64, "end": 1650.24, "word": " إشارة", "probability": 0.9970703125}], "temperature": 1.0}, {"id": 70, "seek": 166572, "start": 1656.48, "end": 1665.72, "text": "We will stop at this point and we will continue next time and give you the answer", "tokens": [4360, 486, 1590, 412, 341, 935, 293, 321, 486, 2354, 958, 565, 293, 976, 291, 264, 1867], "avg_logprob": -0.7226562566227384, "compression_ratio": 1.1408450704225352, "no_speech_prob": 0.0007038116455078125, "words": [{"start": 1656.48, "end": 1657.1, "word": "We", "probability": 0.0377197265625}, {"start": 1657.1, "end": 1657.34, "word": " will", "probability": 0.4912109375}, {"start": 1657.34, "end": 1657.44, "word": " stop", "probability": 0.3056640625}, {"start": 1657.44, "end": 1660.92, "word": " at", "probability": 0.6337890625}, {"start": 1660.92, "end": 1661.24, "word": " this", "probability": 0.8671875}, {"start": 1661.24, "end": 1661.64, "word": " point", "probability": 0.95703125}, {"start": 1661.64, "end": 1662.52, "word": " and", "probability": 0.7587890625}, {"start": 1662.52, "end": 1662.64, "word": " we", "probability": 0.42333984375}, {"start": 1662.64, "end": 1662.84, "word": " will", "probability": 0.84814453125}, {"start": 1662.84, "end": 1663.14, "word": " continue", "probability": 0.775390625}, {"start": 1663.14, "end": 1663.64, "word": " next", "probability": 0.8388671875}, {"start": 1663.64, "end": 1663.92, "word": " time", "probability": 0.8427734375}, {"start": 1663.92, "end": 1664.8, "word": " and", "probability": 0.279296875}, {"start": 1664.8, "end": 1665.1, "word": " give", "probability": 0.33251953125}, {"start": 1665.1, "end": 1665.52, "word": " you", "probability": 0.81298828125}, {"start": 1665.52, "end": 1665.72, "word": " the", "probability": 0.65380859375}, {"start": 1665.72, "end": 1665.72, "word": " answer", "probability": 0.1815185546875}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 1665.753125, "duration_after_vad": 1631.2943749999972}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Xkbo6AAQi3o_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Xkbo6AAQi3o_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f6f1d520d05c6300fcce29a772ed61433bbe9ad9
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Xkbo6AAQi3o_postprocess.srt
@@ -0,0 +1,1508 @@
+1
+00:00:01,570 --> 00:00:05,910
+بسم الله الرحمن الرحيم نواصل محاضرات ال geometric
+
+2
+00:00:05,910 --> 00:00:09,530
+optics ووصلنا عند modeling an unknown optical
+
+3
+00:00:09,530 --> 00:00:16,720
+systemيعني كيف احنا نحلل عناصر optical system مش
+
+4
+00:00:16,720 --> 00:00:22,080
+معروف لنا أو كيف نعرف هذا ال optical system ككل،
+
+5
+00:00:22,080 --> 00:00:25,740
+يعني بنقول عنه، بنعمله modeling، إيش يعني
+
+6
+00:00:25,740 --> 00:00:31,120
+modeling، هنفهم فيه ال .. الكلمات التالية In the
+
+7
+00:00:31,120 --> 00:00:33,800
+previous examples, we showed how vergence
+
+8
+00:00:33,800 --> 00:00:37,370
+calculations could be usedto determine image
+
+9
+00:00:37,370 --> 00:00:41,510
+location and magnification for a single lens or
+
+10
+00:00:41,510 --> 00:00:44,450
+combination of two lenses or more
+
+11
+00:01:06,080 --> 00:01:09,780
+However most optical systems consist of many
+
+12
+00:01:09,780 --> 00:01:10,200
+lenses
+
+13
+00:01:14,480 --> 00:01:18,860
+35mm camera lens contains between 6 and 12
+
+14
+00:01:18,860 --> 00:01:22,800
+individual lens. Virgin's calculations become
+
+15
+00:01:22,800 --> 00:01:25,600
+tedious for such systems.
+
+16
+00:01:42,020 --> 00:01:47,840
+عامة المرهق عامة
+
+17
+00:01:47,840 --> 00:01:52,180
+المرهق عامة
+
+18
+00:01:52,180 --> 00:01:53,860
+المرهق عامة المرهق عامة المرهق عامة المرهق عامة
+
+19
+00:01:53,860 --> 00:01:54,080
+المرهق عامة المرهق عامة المرهق عامة المرهق عامة
+
+20
+00:01:54,080 --> 00:01:54,360
+المرهق عامة المرهق عامة المرهق عامة المرهق عامة
+
+21
+00:01:54,360 --> 00:01:54,380
+المرهق عامة المرهق عامة المرهق عامة المرهق عامة
+
+22
+00:01:54,380 --> 00:01:54,400
+المرهق عامة المرهق عامة المرهق عامة المرهق عامة
+
+23
+00:01:54,400 --> 00:01:57,780
+المرهق عامة المرهق عامة المرهق عامة المرهق عامة
+
+24
+00:01:57,780 --> 00:02:00,180
+المرهق عامة المرهق
+
+25
+00:02:05,660 --> 00:02:10,440
+Thick lenses and complex optical systems are
+
+26
+00:02:10,440 --> 00:02:14,140
+modeled using principal planes, nodal points and
+
+27
+00:02:14,140 --> 00:02:17,520
+focal points. If the optical surfaces are
+
+28
+00:02:17,520 --> 00:02:21,120
+spherical and we restrict the analysis to para
+
+29
+00:02:21,120 --> 00:02:24,720
+-axial rays, the location of each point or plane
+
+30
+00:02:24,720 --> 00:02:28,560
+is determined experimentally.First of all, we need
+
+31
+00:02:28,560 --> 00:02:31,200
+to understand that in order to do modeling for
+
+32
+00:02:31,200 --> 00:02:34,400
+unknown optical system, modeling means to
+
+33
+00:02:34,400 --> 00:02:36,900
+determine what is the optical system, meaning what
+
+34
+00:02:36,900 --> 00:02:40,820
+is it? Not .. we don't mean what is the number of
+
+35
+00:02:40,820 --> 00:02:45,060
+lenses or whether the lenses are fixed or flat or
+
+36
+00:02:45,060 --> 00:02:48,840
+plus lenses or minus lenses, no, but when I want
+
+37
+00:02:48,840 --> 00:02:53,680
+to determineor اعمل analysis ل optical system يعني
+
+38
+00:02:53,680 --> 00:02:57,360
+بدي احدد ال cardinal points بتاعته هذا ال optical
+
+39
+00:02:57,360 --> 00:03:00,940
+system ككل وين ال anterior focal point وين ال
+
+40
+00:03:00,940 --> 00:03:04,480
+posterior focal point وين ال anterior nodal point
+
+41
+00:03:04,480 --> 00:03:07,520
+وين ال posterior nodal point وين ال anterior
+
+42
+00:03:07,520 --> 00:03:11,220
+principal point وين ال posterior principal point و
+
+43
+00:03:11,220 --> 00:03:15,850
+هذا ال system ككل بيشتغلlike .. or it blocks from
+
+44
+00:03:15,850 --> 00:03:19,330
+.. does it have a plus lens position or does it
+
+45
+00:03:19,330 --> 00:03:23,730
+have a minus lens position in its group? When I do
+
+46
+00:03:23,730 --> 00:03:26,770
+these things and I define the cardinal points, it
+
+47
+00:03:26,770 --> 00:03:30,110
+means that I did modeling for the optical system,
+
+48
+00:03:30,110 --> 00:03:33,880
+which means that I defined this optical systemهذه
+
+49
+00:03:33,880 --> 00:03:39,820
+القضية بنوصلها بالرسم عن طريق إجراء تجربة طبعا
+
+50
+00:03:39,820 --> 00:03:44,620
+التجربة هاي بتقول إنه consider an unknown optical
+
+51
+00:03:44,620 --> 00:03:48,660
+system that contains any number of optical element
+
+52
+00:03:48,660 --> 00:03:52,200
+هاي عندي أنا optical system unknown يعني مش معروف
+
+53
+00:03:52,200 --> 00:03:56,600
+يعني مافي عندي أي معلومات عنه جدش قوة العدسات جدش
+
+54
+00:03:56,600 --> 00:04:00,380
+عدد العدسات بغض النظر عددها ستة سبعة عشرة عشرين
+
+55
+00:04:00,380 --> 00:04:04,250
+إلى آخرينقوة كل عدسة مش معروفة يعني هذا optical
+
+56
+00:04:04,250 --> 00:04:10,170
+system مجهول optical system مجهولSo therefore I
+
+57
+00:04:10,170 --> 00:04:14,050
+want to analyze this optical system by way of
+
+58
+00:04:14,050 --> 00:04:17,730
+experience and by way of graphic drawing, graphic
+
+59
+00:04:17,730 --> 00:04:21,650
+drawing. For example, a friend of mine brought me
+
+60
+00:04:21,650 --> 00:04:24,310
+a camera, he works in journalism and media, and he
+
+61
+00:04:24,310 --> 00:04:26,730
+told me that this camera was given to him or I
+
+62
+00:04:26,730 --> 00:04:30,530
+bought it, but I don't know its catalog, and I
+
+63
+00:04:30,530 --> 00:04:35,520
+don't know how .. I mean ..I mean, I understand
+
+64
+00:04:35,520 --> 00:04:37,980
+this camera and I understand how it works and what
+
+65
+00:04:37,980 --> 00:04:43,200
+is the nature of the optical system in it We can
+
+66
+00:04:43,200 --> 00:04:48,060
+make this
+
+67
+00:04:48,060 --> 00:04:51,760
+camera as an optical system as if it is one lens
+
+68
+00:04:51,760 --> 00:04:56,330
+as if it is one lensوبدنا ننظر إيه لها كإنها black
+
+69
+00:04:56,330 --> 00:05:02,270
+box إيش يعني black box؟ طبعا مصطلح black box أو
+
+70
+00:05:02,270 --> 00:05:06,690
+الصندوق الأسود غالبا بيستخدم في موضوع حوادث
+
+71
+00:05:06,690 --> 00:05:13,250
+الطائرات هو عبارة عن يعني جهاز يحتوي على يعني
+
+72
+00:05:13,250 --> 00:05:16,630
+أدوات لتسجيل الصوت من بداية رحلة الطائرة إلى
+
+73
+00:05:16,630 --> 00:05:22,570
+نهايتها بحيثI mean, if there was a problem with
+
+74
+00:05:22,570 --> 00:05:26,310
+the plane, or the plane crashed, or it fell, or it
+
+75
+00:05:26,310 --> 00:05:30,030
+was dropped, etc. This black box is taken out of
+
+76
+00:05:30,030 --> 00:05:32,750
+the plane wreckage, and they listen to the records
+
+77
+00:05:32,750 --> 00:05:37,930
+to try to reach the truth in this matterHere we
+
+78
+00:05:37,930 --> 00:05:41,170
+want to deal with the optical system, which is not
+
+79
+00:05:41,170 --> 00:05:44,630
+known to us that it is a black box And we want to
+
+80
+00:05:44,630 --> 00:05:47,850
+run an experiment on it This experiment shows us
+
+81
+00:05:47,850 --> 00:05:52,190
+the nature of this optical system Does it have a
+
+82
+00:05:52,190 --> 00:05:54,590
+plus lens position as a whole? The lenses work
+
+83
+00:05:54,590 --> 00:05:57,870
+together Does it have a plus lens position or a
+
+84
+00:05:57,870 --> 00:06:00,610
+minus lens position? First of all, we will say
+
+85
+00:06:00,610 --> 00:06:05,330
+that there is an object on the left of the optical
+
+86
+00:06:05,330 --> 00:06:09,230
+system, that is, in front of itYou say a rule from
+
+87
+00:06:09,230 --> 00:06:11,810
+the rules. We learned this rule, but we haven't
+
+88
+00:06:11,810 --> 00:06:13,950
+talked about it yet. We say if the picture is
+
+89
+00:06:13,950 --> 00:06:17,410
+formed on the left also, it means the picture is
+
+90
+00:06:17,410 --> 00:06:22,050
+virtual. On the same side of the object. And if it
+
+91
+00:06:22,050 --> 00:06:26,150
+is formed on its right, behind the optical system,
+
+92
+00:06:26,270 --> 00:06:29,590
+of course, the picture will be real. So, we say
+
+93
+00:06:29,590 --> 00:06:33,450
+sometimes that this optical system, if it forms a
+
+94
+00:06:33,450 --> 00:06:36,070
+picture on the left, it means it forms a virtual
+
+95
+00:06:36,070 --> 00:06:40,040
+image.لو كوّنلي صورة عاليمين، معناه تكوّن real
+
+96
+00:06:40,040 --> 00:06:45,740
+image بمعنى إنه مصير الأشعة اللي دخلت في كل هذه
+
+97
+00:06:45,740 --> 00:06:50,400
+العدسات اتجمعت و اتكوّنت و كوّنت real image أو
+
+98
+00:06:50,400 --> 00:06:54,480
+مصير الأشعة اللي دخلت في كل هذه العدسات اتشتتت في
+
+99
+00:06:54,480 --> 00:06:58,220
+النهاية، يعني هتكوّنلي virtual image، virtual
+
+100
+00:06:58,220 --> 00:07:01,760
+image، إذن هذه أول شيء بدنا نعمله، we will treat
+
+101
+00:07:01,760 --> 00:07:06,960
+itهذا ال optical system هنتعامل معاه we will treat
+
+102
+00:07:06,960 --> 00:07:12,800
+it as a black box a real object placed in front of
+
+103
+00:07:12,800 --> 00:07:17,640
+the black box will image somewhere in space يعني
+
+104
+00:07:17,640 --> 00:07:21,370
+لما أحط real objectin front of the optical system
+
+105
+00:07:21,370 --> 00:07:24,830
+it must have a picture of what is in the space
+
+106
+00:07:24,830 --> 00:07:27,390
+where is the space? here? behind the optical
+
+107
+00:07:27,390 --> 00:07:30,990
+system? or here? in front of the optical system?
+
+108
+00:07:31,450 --> 00:07:34,730
+depending on where it is formed if the image forms
+
+109
+00:07:34,730 --> 00:07:37,770
+in front of the box it is virtual if the picture
+
+110
+00:07:37,770 --> 00:07:40,630
+is formed in front of the box in front of the
+
+111
+00:07:40,630 --> 00:07:44,150
+black box sometimes this picture will be virtual
+
+112
+00:07:44,150 --> 00:07:50,470
+this is on the left side but if it is formedbehind
+
+113
+00:07:50,470 --> 00:08:00,570
+the box it is real now consider
+
+114
+00:08:00,570 --> 00:08:08,110
+a single ray of light
+
+115
+00:08:08,110 --> 00:08:12,570
+that leaves a point on the object such as the tip
+
+116
+00:08:12,570 --> 00:08:14,030
+of the arrow in the drawing
+
+117
+00:08:18,440 --> 00:08:22,620
+It leaves a point from the object And we have to
+
+118
+00:08:22,620 --> 00:08:25,440
+follow this ray Of course, we will use the laser
+
+119
+00:08:25,440 --> 00:08:29,680
+beam to point to this case The laser beam to point
+
+120
+00:08:29,680 --> 00:08:32,880
+to this case I have to keep leaning on this beam
+
+121
+00:08:32,880 --> 00:08:38,240
+until it leaves the optical system parallel to the
+
+122
+00:08:38,240 --> 00:08:41,380
+optical axis In other words, if we imagine that I
+
+123
+00:08:41,380 --> 00:08:45,900
+have a beam It will start from point A, let's
+
+124
+00:08:45,900 --> 00:08:51,400
+assumeBut it's necessary to color the rays This
+
+125
+00:08:51,400 --> 00:08:56,080
+ray has
+
+126
+00:08:56,080 --> 00:09:05,920
+a certain curvature, this is a curvature This
+
+127
+00:09:05,920 --> 00:09:08,320
+is a curvature, and this is a curvature, and this
+
+128
+00:09:08,320 --> 00:09:11,120
+is a curvature, and this is a curvature I move the
+
+129
+00:09:11,120 --> 00:09:16,040
+rays, of course, from the tip, from the start, to
+
+130
+00:09:16,040 --> 00:09:20,830
+a certain pointfrom both sides, we will find that
+
+131
+00:09:20,830 --> 00:09:24,150
+the radiation entered the optical system, but it
+
+132
+00:09:24,150 --> 00:09:30,570
+came out parallel to the optical axis
+
+133
+00:09:30,570 --> 00:09:39,650
+if
+
+134
+00:09:39,650 --> 00:09:45,710
+this happens with meIt means that the rays of its
+
+135
+00:09:45,710 --> 00:09:50,250
+wave enters the F-A of the whole system In the F-A
+
+136
+00:09:50,250 --> 00:09:52,310
+of the whole system I'm not saying that it enters
+
+137
+00:09:52,310 --> 00:09:56,150
+the F-A of the first lens Because if it enters the
+
+138
+00:09:56,150 --> 00:09:58,610
+F-A of the first lens, it will come out parallel
+
+139
+00:09:58,610 --> 00:10:01,530
+in this region After that, the second lens will
+
+140
+00:10:01,530 --> 00:10:04,390
+change direction and will become non-parallel And
+
+141
+00:10:04,390 --> 00:10:06,650
+the third lens will change direction as well
+
+142
+00:10:06,650 --> 00:10:11,840
+Therefore, when I control the laser beamon this
+
+143
+00:10:11,840 --> 00:10:15,960
+black box or on this optical system and I keep
+
+144
+00:10:15,960 --> 00:10:18,700
+changing the laser axis once, I don't leave it
+
+145
+00:10:18,700 --> 00:10:28,200
+this way and
+
+146
+00:10:28,200 --> 00:10:32,360
+once this way and once this way and once this way
+
+147
+00:10:32,360 --> 00:10:34,780
+so its axis changes with respect to the optical
+
+148
+00:10:34,780 --> 00:10:38,150
+axis its angle with respect to the optical axisIt
+
+149
+00:10:38,150 --> 00:10:41,730
+changes Now I noticed in a certain email that the
+
+150
+00:10:41,730 --> 00:10:44,670
+light comes out of this optical system parallel to
+
+151
+00:10:44,670 --> 00:10:47,870
+the optical axis, so that's it This is the first
+
+152
+00:10:47,870 --> 00:10:50,210
+point from the cardinal points that we will define
+
+153
+00:10:50,210 --> 00:10:54,770
+Which is FA, so this is FA
+
+154
+00:11:14,040 --> 00:11:17,380
+So this is fa of the system, of the system as a
+
+155
+00:11:17,380 --> 00:11:25,240
+whole, the first point we determined Okay, now we
+
+156
+00:11:25,240 --> 00:11:29,060
+want to continue with this topic, we say if we
+
+157
+00:11:29,060 --> 00:11:33,480
+draw a line, if we draw a line, a dotted line
+
+158
+00:11:33,480 --> 00:11:39,500
+inside the black box The
+
+159
+00:11:39,500 --> 00:11:41,700
+rays that came out parallel, we drew
+
+160
+00:11:50,490 --> 00:12:01,250
+we give it another color and we give it a cut and
+
+161
+00:12:01,250 --> 00:12:03,090
+we extend the rays that came in
+
+162
+00:12:20,510 --> 00:12:28,330
+also cut out their meeting, their meeting so the
+
+163
+00:12:28,330 --> 00:12:32,430
+ray that entered from the FA and came out parallel
+
+164
+00:12:32,430 --> 00:12:34,650
+FA under the system as a whole and came out
+
+165
+00:12:34,650 --> 00:12:38,950
+parallel we extend them to meet their meeting
+
+166
+00:12:38,950 --> 00:12:43,530
+point is in the anterior principal plane anterior
+
+167
+00:12:43,530 --> 00:12:47,590
+principal plane we want to draw the anterior
+
+168
+00:12:47,590 --> 00:12:48,710
+principal plane
+
+169
+00:12:53,920 --> 00:13:01,940
+and give it a color and
+
+170
+00:13:01,940 --> 00:13:05,680
+move it to its right place at the intersection
+
+171
+00:13:05,680 --> 00:13:10,920
+point of the rectangle almost at the intersection
+
+172
+00:13:10,920 --> 00:13:14,520
+point of the
+
+173
+00:13:14,520 --> 00:13:18,700
+rectangle so this is the anterior principal plane
+
+174
+00:13:18,700 --> 00:13:22,120
+and we write anterior principal plane on it
+
+175
+00:13:34,570 --> 00:13:43,010
+Okay, now we want another ray to
+
+176
+00:13:43,010 --> 00:13:46,970
+be parallel to the optical axis to start from the
+
+177
+00:13:46,970 --> 00:13:52,650
+same point from the same point this ray will have
+
+178
+00:13:52,650 --> 00:13:56,370
+a lot of refractions inside the black box but in
+
+179
+00:13:56,370 --> 00:13:59,870
+the end it will come out and cut the optical axis
+
+180
+00:13:59,870 --> 00:14:02,590
+it will come out and cut the optical axis
+
+181
+00:14:15,680 --> 00:14:21,600
+So this came out parallel to the optical axis and
+
+182
+00:14:21,600 --> 00:14:26,300
+the cut of the optical axis will cut it in FP The
+
+183
+00:14:26,300 --> 00:14:29,380
+posterior focus is not of the last lens, but of
+
+184
+00:14:29,380 --> 00:14:36,040
+the system as a whole So this is the F in the
+
+185
+00:14:36,040 --> 00:14:37,220
+posterior focus
+
+186
+00:14:44,790 --> 00:14:55,270
+So this is the FB Okay,
+
+187
+00:14:55,530 --> 00:14:58,890
+now we want to extend the outer beam to the back
+
+188
+00:14:58,890 --> 00:15:02,210
+and the inner beam to the front The outer beam to
+
+189
+00:15:02,210 --> 00:15:08,670
+the back and the inner beam to the front Until
+
+190
+00:15:08,670 --> 00:15:09,470
+they meet
+
+191
+00:15:38,000 --> 00:15:45,480
+until they meet of course
+
+192
+00:15:45,480 --> 00:15:50,560
+we extend them in a straight line now they meet so
+
+193
+00:15:50,560 --> 00:15:54,720
+they will meet in the posterior principal plane in
+
+194
+00:15:54,720 --> 00:16:04,340
+the posterior principal plane which
+
+195
+00:16:04,340 --> 00:16:08,220
+happens exactly at the meeting pointOkay, the
+
+196
+00:16:08,220 --> 00:16:12,420
+intersection of the anterior
+
+197
+00:16:12,420 --> 00:16:25,860
+principal plane with
+
+198
+00:16:25,860 --> 00:16:30,040
+the optical axis defines the anterior principal
+
+199
+00:16:30,040 --> 00:16:35,380
+point So this is the anterior principal point
+
+200
+00:16:36,210 --> 00:17:00,690
+anterior principal point So
+
+201
+00:17:00,690 --> 00:17:06,250
+this point intersects the anterior principala
+
+202
+00:17:06,250 --> 00:17:10,030
+plane with the optical axis is the point of
+
+203
+00:17:10,030 --> 00:17:13,630
+anterior principal point and the posterior
+
+204
+00:17:13,630 --> 00:17:16,290
+principal plane when it intersects with the
+
+205
+00:17:16,290 --> 00:17:19,590
+optical axis intersects with the posterior
+
+206
+00:17:19,590 --> 00:17:23,370
+principal point posterior principal point
+
+207
+00:17:48,370 --> 00:17:51,610
+So, the intersection point is in the posterior
+
+208
+00:17:51,610 --> 00:17:54,890
+principal point So, we defined the anterior and
+
+209
+00:17:54,890 --> 00:17:57,530
+posterior focal points, this is the posterior
+
+210
+00:17:57,530 --> 00:18:00,270
+focal point that I'm pointing at, and this is the
+
+211
+00:18:00,270 --> 00:18:04,610
+anterior focal point, we defined the anterior and
+
+212
+00:18:04,610 --> 00:18:09,090
+posterior principal planeswe defined the anterior
+
+213
+00:18:09,090 --> 00:18:12,810
+and posterior principal points the nodal points
+
+214
+00:18:12,810 --> 00:18:15,050
+remained the nodal points remained the nodal
+
+215
+00:18:15,050 --> 00:18:17,150
+points the nodal points, if the middle is
+
+216
+00:18:17,150 --> 00:18:22,590
+homogenous if the middle is homogenous then the
+
+217
+00:18:22,590 --> 00:18:25,770
+nodal points apply to the principal points that
+
+218
+00:18:25,770 --> 00:18:28,850
+is, the anterior principal point and the anterior
+
+219
+00:18:28,850 --> 00:18:33,250
+nodal point they are in the same place they are in
+
+220
+00:18:33,250 --> 00:18:34,890
+the same place so this is
+
+221
+00:18:58,740 --> 00:19:00,760
+This is what I'm pointing out, this is the
+
+222
+00:19:00,760 --> 00:19:02,140
+anterior nodal point
+
+223
+00:19:27,650 --> 00:19:31,210
+What I'm pointing at is the posterior nodal point.
+
+224
+00:19:44,310 --> 00:19:49,590
+Now I want to point the laser from this point
+
+225
+00:19:49,590 --> 00:19:52,970
+towards the anterior nodal point.
+
+226
+00:20:20,700 --> 00:20:23,400
+Laser light comes out from the posterior nodal
+
+227
+00:20:23,400 --> 00:20:28,800
+point and goes to the image and goes to the image
+
+228
+00:20:28,800 --> 00:20:38,800
+That's how I determined all
+
+229
+00:20:38,800 --> 00:20:46,200
+reference points all cardinal points of
+
+230
+00:20:46,200 --> 00:20:49,480
+the system If we take a magnified view of this
+
+231
+00:20:49,480 --> 00:20:54,460
+pictureWe will notice that when it lands on a
+
+232
+00:20:54,460 --> 00:20:56,560
+certain point, when it lands on a certain point of
+
+233
+00:20:56,560 --> 00:20:59,680
+the laser beam that starts from point A, the beam
+
+234
+00:20:59,680 --> 00:21:03,520
+comes out parallel to the optical axis. Sometimes
+
+235
+00:21:03,520 --> 00:21:08,760
+I say that the beam or the laser beam must pass
+
+236
+00:21:08,760 --> 00:21:14,840
+through the point that is the anterior focus of
+
+237
+00:21:14,840 --> 00:21:19,970
+the system as a whole.طيب، لما بوجه ضوء ال laser
+
+238
+00:21:19,970 --> 00:21:25,570
+من نفس النقطة parallel to the optical axis، هيخرج
+
+239
+00:21:25,570 --> 00:21:29,950
+بميلان معين، ساعة ما خرج بميلان معين، بما انه
+
+240
+00:21:29,950 --> 00:21:32,790
+parallel، حسب القاعدة المعروفة، ان اللي parallel
+
+241
+00:21:32,790 --> 00:21:36,760
+بخش في ال FBWhether it's one lens or the whole
+
+242
+00:21:36,760 --> 00:21:40,560
+system. Here I have the FB that includes the whole
+
+243
+00:21:40,560 --> 00:21:44,260
+system. The whole system as a whole and we agreed
+
+244
+00:21:44,260 --> 00:21:48,380
+to treat the system or deal with it as one lens.
+
+245
+00:21:49,160 --> 00:21:54,900
+Okay, soWe defined FA and FB. Now we define the
+
+246
+00:21:54,900 --> 00:21:58,980
+anterior and posterior principal planes along the
+
+247
+00:21:58,980 --> 00:22:02,080
+rays that came out with the parallel rays that
+
+248
+00:22:02,080 --> 00:22:04,060
+came in, which is parallel to the optical axis,
+
+249
+00:22:04,260 --> 00:22:07,400
+their meeting point is the posterior principal
+
+250
+00:22:07,400 --> 00:22:12,670
+plane.The first case that entered in the FA by
+
+251
+00:22:12,670 --> 00:22:15,030
+stretching and came out parallel by stretching
+
+252
+00:22:15,030 --> 00:22:18,510
+backwards will meet in the anterior principal
+
+253
+00:22:18,510 --> 00:22:21,630
+plane
+
+254
+00:22:21,630 --> 00:22:24,330
+The intersection of the anterior principal plane
+
+255
+00:22:24,330 --> 00:22:27,930
+with the optical axis defines the anterior
+
+256
+00:22:27,930 --> 00:22:31,150
+principal pointCrossing between the posterior
+
+257
+00:22:31,150 --> 00:22:35,770
+principal plane and the optical axis defines the
+
+258
+00:22:35,770 --> 00:22:39,170
+posterior principal point Now if the middle is
+
+259
+00:22:39,170 --> 00:22:41,670
+homogeneous, that is, what is in front of the
+
+260
+00:22:41,670 --> 00:22:43,950
+optical system is the same as what is behind it
+
+261
+00:22:43,950 --> 00:22:48,310
+For example, air and here air I have the anterior
+
+262
+00:22:48,310 --> 00:22:51,050
+nodal point and the anterior principal point
+
+263
+00:22:51,050 --> 00:22:54,430
+adjacent to each other At the same time, the
+
+264
+00:22:54,430 --> 00:22:57,470
+posterior principal point and the posterior nodal
+
+265
+00:22:57,470 --> 00:23:01,800
+pointapplying to each other I direct the laser
+
+266
+00:23:01,800 --> 00:23:06,080
+towards the anterior principal point of the system
+
+267
+00:23:06,080 --> 00:23:10,040
+then it will leave the posterior principal point
+
+268
+00:23:10,040 --> 00:23:13,500
+of this beam and go to the point where the first
+
+269
+00:23:13,500 --> 00:23:17,280
+and second beams meet and form the image this way
+
+270
+00:23:17,280 --> 00:23:21,920
+I have modeling and analysis of the optical system
+
+271
+00:23:23,340 --> 00:23:27,240
+to his cardinal points
+
+272
+00:23:29,990 --> 00:23:33,690
+It means that it is drawn and explained in the
+
+273
+00:23:33,690 --> 00:23:38,030
+same way that I have explained now The rays that
+
+274
+00:23:38,030 --> 00:23:41,870
+entered in the system's face came out parallel to
+
+275
+00:23:41,870 --> 00:23:45,570
+the optical axis When I extend the exit and the
+
+276
+00:23:45,570 --> 00:23:48,110
+rays that came out extend to the back and the rays
+
+277
+00:23:48,110 --> 00:23:50,790
+that entered extend to the front and meet in the
+
+278
+00:23:50,790 --> 00:23:56,580
+anterior principal planeOkay, now the laser beam
+
+279
+00:23:56,580 --> 00:23:59,400
+parallel to the optical axis will come out in a
+
+280
+00:23:59,400 --> 00:24:03,280
+certain way and cut the optical axis while it is
+
+281
+00:24:03,280 --> 00:24:06,280
+out of the system, it will cut in the FB of the
+
+282
+00:24:06,280 --> 00:24:09,720
+system as a whole, its length backwards and the
+
+283
+00:24:09,720 --> 00:24:12,720
+length of the beam parallel to the front defines
+
+284
+00:24:12,720 --> 00:24:15,300
+the posterior principal plane.
+
+285
+00:24:17,900 --> 00:24:21,300
+The anterior principal plane with the optical axis
+
+286
+00:24:21,300 --> 00:24:24,020
+is the anterior nodal, the anterior principal
+
+287
+00:24:24,020 --> 00:24:27,620
+point And the intersection of the posterior
+
+288
+00:24:27,620 --> 00:24:30,800
+principal plane with the optical axis is the
+
+289
+00:24:30,800 --> 00:24:33,520
+posterior principal point If the middle is
+
+290
+00:24:33,520 --> 00:24:36,620
+homogeneous, the anterior principal is the same as
+
+291
+00:24:36,620 --> 00:24:39,140
+the anterior nodal in the same place And the
+
+292
+00:24:39,140 --> 00:24:41,440
+posterior principal point is the same as the
+
+293
+00:24:41,440 --> 00:24:44,850
+posterior nodal pointفى نفس المكان بشرط أنه يكون
+
+294
+00:24:44,850 --> 00:24:49,910
+الوسط متجانس يعني ما أمام ال optical system من وسط
+
+295
+00:24:49,910 --> 00:24:54,170
+هو نفس ما خالف ال optical system من وسط
+
+296
+00:24:57,710 --> 00:25:01,650
+النتيجة The result is an optical model that
+
+297
+00:25:01,650 --> 00:25:05,010
+simplifies complicated optical system اذا ملاحظين
+
+298
+00:25:05,010 --> 00:25:11,130
+احنا مستخدماش ولا شيء في .. ولا شيء في ال .. من
+
+299
+00:25:11,130 --> 00:25:16,070
+الحسابات بس مجرد رسم اي رسمة نهائية دخل في ال FA
+
+300
+00:25:16,070 --> 00:25:20,010
+بتاعة ال system بيخرج موازي بيخرج موازي امتداده
+
+301
+00:25:20,010 --> 00:25:23,460
+للخلفAnd its extension to the front will define
+
+302
+00:25:23,460 --> 00:25:26,100
+the anterior principal plane So I can remove the
+
+303
+00:25:26,100 --> 00:25:29,800
+whole system with its lenses and put only anterior
+
+304
+00:25:29,800 --> 00:25:33,420
+principal plane and posterior principal plane And
+
+305
+00:25:33,420 --> 00:25:36,100
+this explains what we talked about in previous
+
+306
+00:25:36,100 --> 00:25:40,440
+lectures That the principal plane is the place
+
+307
+00:25:40,440 --> 00:25:43,860
+where the refraction blocks all the refraction of
+
+308
+00:25:43,860 --> 00:25:46,530
+the lensesYou notice that in the anterior
+
+309
+00:25:46,530 --> 00:25:49,850
+principal plane, this ray changed its path,
+
+310
+00:25:50,330 --> 00:25:51,950
+instead of being perpendicular to the bottom, it
+
+311
+00:25:51,950 --> 00:25:55,010
+became parallel to the optical axis. Here, in the
+
+312
+00:25:55,010 --> 00:25:58,710
+posterior principal plane, this ray changed its
+
+313
+00:25:58,710 --> 00:26:02,710
+path, and instead of being parallel to the optical
+
+314
+00:26:02,710 --> 00:26:04,770
+axis, it became perpendicular to the optical axis.
+
+315
+00:26:04,870 --> 00:26:08,250
+It is as if the refraction happened in these two
+
+316
+00:26:08,250 --> 00:26:13,010
+planes only.اند ادولا ال two planes فهم بيقوموا
+
+317
+00:26:13,010 --> 00:26:18,530
+مقام بيسدوا مكان كل العدسات مهما كان عدادها
+
+318
+00:26:18,530 --> 00:26:23,690
+فبالتالي هذه فكرة ال principle airplanes if the
+
+319
+00:26:23,690 --> 00:26:27,820
+media pounding the system are differentLike the
+
+320
+00:26:27,820 --> 00:26:30,720
+human eye. The human eye has cornea and
+
+321
+00:26:30,720 --> 00:26:33,620
+crystalline lens. It's an optical system together.
+
+322
+00:26:34,320 --> 00:26:40,160
+But the media is different. In front of the cornea
+
+323
+00:26:40,160 --> 00:26:43,200
+there's air and behind the cornea there's water.
+
+324
+00:26:43,420 --> 00:26:45,620
+So there's water on one side and water on the
+
+325
+00:26:45,620 --> 00:26:54,540
+other.So, the nodal points are not aligned with
+
+326
+00:26:54,540 --> 00:26:57,340
+the principal points, but rather the nodal points
+
+327
+00:26:57,340 --> 00:26:59,920
+pull in the direction of the medium with the
+
+328
+00:26:59,920 --> 00:27:03,540
+higher refractive index. In other words, if we
+
+329
+00:27:03,540 --> 00:27:04,540
+look at this picture
+
+330
+00:27:20,010 --> 00:27:21,910
+schematic I
+
+331
+00:27:37,440 --> 00:27:40,100
+هي عندى انا optical system اللى مرسوم باللون
+
+332
+00:27:40,100 --> 00:27:43,780
+الأزرق اللى كورنيا و ال crystalline lens طبعا لو
+
+333
+00:27:43,780 --> 00:27:47,280
+حددنا لهدا ال optical system لبرنسيبالي planes
+
+334
+00:27:47,280 --> 00:27:51,840
+لبرنسيبالي planes ال nodal points ال nodal points
+
+335
+00:27:51,840 --> 00:27:55,320
+هيكونوا مسحوبين باتجاه ال media of higher
+
+336
+00:27:55,320 --> 00:27:58,230
+refractive indexthey don't match the principal
+
+337
+00:27:58,230 --> 00:28:01,110
+points in this case why? because here the media in
+
+338
+00:28:01,110 --> 00:28:03,410
+front of the optical system is air and behind the
+
+339
+00:28:03,410 --> 00:28:06,890
+optical system is vitreous which is water which is
+
+340
+00:28:06,890 --> 00:28:10,030
+water therefore this optical system its nodal
+
+341
+00:28:10,030 --> 00:28:13,730
+points don't match the principal points but the
+
+342
+00:28:13,730 --> 00:28:17,250
+nodal points are shifted towards the upper middle
+
+343
+00:28:17,250 --> 00:28:20,630
+point in the refractive index if we imagine these
+
+344
+00:28:20,630 --> 00:28:23,930
+are the principal points these are the principal
+
+345
+00:28:23,930 --> 00:28:27,320
+pointsThe nodal points will be offset in this
+
+346
+00:28:27,320 --> 00:28:30,740
+direction, offset in this direction. So, if the
+
+347
+00:28:30,740 --> 00:28:34,140
+media pounding around the system are different,
+
+348
+00:28:34,300 --> 00:28:38,020
+the human eye has air on one side and vitreous gel
+
+349
+00:28:38,020 --> 00:28:41,380
+on the other side, the nodal points pull in the
+
+350
+00:28:41,380 --> 00:28:44,540
+direction of the medium with the higher refractive
+
+351
+00:28:44,540 --> 00:28:47,700
+index, and we will have a lecture to calculate the
+
+352
+00:28:47,700 --> 00:28:50,580
+location of the nodal points relative to the
+
+353
+00:28:50,580 --> 00:28:54,230
+principal points, God willing.The anterior focal
+
+354
+00:28:54,230 --> 00:28:57,190
+length of the system is the distance from F-A to
+
+355
+00:28:57,190 --> 00:29:00,610
+anterior principal point, not the distance to the
+
+356
+00:29:00,610 --> 00:29:04,390
+first lens and in the black box." يعني الآن لما
+
+357
+00:29:04,390 --> 00:29:10,010
+بدنا نقول ال object distance من وين؟ من ال object
+
+358
+00:29:10,010 --> 00:29:15,430
+لل anterior principal point. هذه المسافة هي ال
+
+359
+00:29:15,430 --> 00:29:19,790
+anterior focal length، هي ال anterior أو عفوا أسف
+
+360
+00:29:20,740 --> 00:29:25,920
+المسافة بين الـ anterior focus و الـ anterior
+
+361
+00:29:25,920 --> 00:29:29,400
+principal point هي الـ anterior focal length مش
+
+362
+00:29:29,400 --> 00:29:33,360
+المسافة للعدسة الأولى، مش المسافة للعدسة الأولى
+
+363
+00:29:33,360 --> 00:29:36,160
+The anterior focal length of the system is the
+
+364
+00:29:36,160 --> 00:29:39,960
+distance from FA to the anterior principal point
+
+365
+00:29:39,960 --> 00:29:44,180
+وليس to the distance to the face lens in the black
+
+366
+00:29:44,180 --> 00:29:48,150
+boxThe posterior focal length is the distance from
+
+367
+00:29:48,150 --> 00:29:51,590
+FB to the posterior principal point زي ما الرسم
+
+368
+00:29:51,590 --> 00:29:55,990
+هنا بتوضح يعني هنا الرسم اللي ملونة بتكون أكتر
+
+369
+00:29:55,990 --> 00:30:02,850
+وضوحا نطلع الرسم المكبّر ال anterior focal length
+
+370
+00:30:02,850 --> 00:30:06,710
+مش من العدسة الأولى لفA لأن فA مش تعتي العدسة
+
+371
+00:30:06,710 --> 00:30:12,140
+الأولى انما من ال anterior principal pointto fa,
+
+372
+00:30:12,600 --> 00:30:18,040
+this is called anterior focal length and from fb
+
+373
+00:30:18,040 --> 00:30:27,140
+to posterior principal point to
+
+374
+00:30:27,140 --> 00:30:32,100
+fb, this is called posterior focal lengthالخلفى
+
+375
+00:30:32,100 --> 00:30:37,360
+البعد البقري الخلفى هذا بالنسبة لموضوع البعد
+
+376
+00:30:37,360 --> 00:30:42,640
+البقري بنتوقف عند thick lenses ويعطيكم العافية
+
+377
+00:30:42,640 --> 00:30:45,900
+والسلام عليكم ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/XqJKSOA7ldw_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/XqJKSOA7ldw_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..9e04bc95652fefbaf95946991bed292bdbb71fa6
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/XqJKSOA7ldw_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2659, "start": 5.57, "end": 26.59, "text": "بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحمن الرحيم بسم الله الرحمن الرحمن الرحيم بسم الله الرحمن الرحمن الرحمن الرحمن الرحمن الرحمن الرحمن الرحمن الرحمن الرحمن الرحمن الرحمن الرحمن الرحمن الرحمن الرحمن الرحمن الرح", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016, 27842, 34892, 5016], "avg_logprob": -0.10201389100816514, "compression_ratio": 20.54, "no_speech_prob": 1.0728836059570312e-06, "words": [{"start": 5.57, "end": 5.87, "word": "بسم", "probability": 0.57806396484375}, {"start": 5.87, "end": 6.03, "word": " الله", "probability": 0.9306640625}, {"start": 6.03, "end": 6.37, "word": " الرحمن", "probability": 0.90869140625}, {"start": 6.37, "end": 6.91, "word": " الرحيم", "probability": 0.9840494791666666}, {"start": 6.91, "end": 15.69, "word": " بسم", "probability": 0.502166748046875}, {"start": 15.69, "end": 16.27, "word": " الله", "probability": 0.9306640625}, {"start": 16.27, "end": 16.99, "word": " الرحمن", "probability": 0.9456380208333334}, {"start": 16.99, "end": 17.19, "word": " الرحيم", "probability": 0.99169921875}, {"start": 17.19, "end": 17.19, "word": " بسم", "probability": 0.60009765625}, {"start": 17.19, "end": 17.19, "word": " الله", "probability": 0.9619140625}, {"start": 17.19, "end": 17.19, "word": " الرحمن", "probability": 0.970703125}, {"start": 17.19, "end": 17.49, "word": " الرحيم", "probability": 0.99169921875}, {"start": 17.49, "end": 17.49, "word": " بسم", "probability": 0.660400390625}, {"start": 17.49, "end": 17.49, "word": " الله", "probability": 0.96875}, {"start": 17.49, "end": 17.49, "word": " الرحمن", "probability": 0.9884440104166666}, {"start": 17.49, "end": 17.49, "word": " الرحيم", "probability": 0.9910481770833334}, {"start": 17.49, "end": 17.49, "word": " بسم", "probability": 0.735107421875}, {"start": 17.49, "end": 17.49, "word": " الله", "probability": 0.9716796875}, {"start": 17.49, "end": 17.49, "word": " الرحمن", "probability": 0.99267578125}, {"start": 17.49, "end": 17.49, "word": " الرحيم", "probability": 0.9892578125}, {"start": 17.49, "end": 17.49, "word": " بسم", "probability": 0.810546875}, {"start": 17.49, "end": 17.49, "word": " الله", "probability": 0.97265625}, {"start": 17.49, "end": 17.49, "word": " الرحمن", "probability": 0.9933268229166666}, {"start": 17.49, "end": 17.49, "word": " الرحيم", "probability": 0.9876302083333334}, {"start": 17.49, "end": 17.49, "word": " بسم", "probability": 0.872802734375}, {"start": 17.49, "end": 17.49, "word": " الله", "probability": 0.97265625}, {"start": 17.49, "end": 17.49, "word": " الرحمن", "probability": 0.9928385416666666}, {"start": 17.49, "end": 17.49, "word": " الرحيم", "probability": 0.986328125}, {"start": 17.49, "end": 17.49, "word": " بسم", "probability": 0.90869140625}, {"start": 17.49, "end": 17.49, "word": " الله", "probability": 0.9697265625}, {"start": 17.49, "end": 17.49, "word": " الرحمن", "probability": 0.9925130208333334}, {"start": 17.49, "end": 17.49, "word": " الرحيم", "probability": 0.9861653645833334}, {"start": 17.49, "end": 17.49, "word": " بسم", "probability": 0.929931640625}, {"start": 17.49, "end": 17.49, "word": " الله", "probability": 0.9638671875}, {"start": 17.49, "end": 17.49, "word": " الرحمن", "probability": 0.9918619791666666}, {"start": 17.49, "end": 17.49, "word": " الرحيم", "probability": 0.98583984375}, {"start": 17.49, "end": 17.49, "word": " بسم", "probability": 0.941162109375}, {"start": 17.49, "end": 17.49, "word": " الله", "probability": 0.9560546875}, {"start": 17.49, "end": 17.49, "word": " الرحمن", "probability": 0.9910481770833334}, {"start": 17.49, "end": 17.49, "word": " الرحيم", "probability": 0.9856770833333334}, {"start": 17.49, "end": 17.49, "word": " بسم", "probability": 0.947021484375}, {"start": 17.49, "end": 17.49, "word": " الله", "probability": 0.9423828125}, {"start": 17.49, "end": 17.49, "word": " الرحمن", "probability": 0.990234375}, {"start": 17.49, "end": 17.53, "word": " الرحيم", "probability": 0.9856770833333334}, {"start": 17.53, "end": 17.53, "word": " بسم", "probability": 0.952392578125}, {"start": 17.53, "end": 17.53, "word": " الله", "probability": 0.91455078125}, {"start": 17.53, "end": 17.53, "word": " الرحمن", "probability": 0.9892578125}, {"start": 17.53, "end": 17.53, "word": " الرحيم", "probability": 0.9851888020833334}, {"start": 17.53, "end": 17.53, "word": " بسم", "probability": 0.95361328125}, {"start": 17.53, "end": 17.53, "word": " الله", "probability": 0.87548828125}, {"start": 17.53, "end": 17.53, "word": " الرحمن", "probability": 0.9884440104166666}, {"start": 17.53, "end": 17.53, "word": " الرحيم", "probability": 0.9832356770833334}, {"start": 17.53, "end": 17.53, "word": " بسم", "probability": 0.955322265625}, {"start": 17.53, "end": 17.53, "word": " الله", "probability": 0.80908203125}, {"start": 17.53, "end": 17.53, "word": " الرحمن", "probability": 0.9874674479166666}, {"start": 17.53, "end": 17.53, "word": " الرحيم", "probability": 0.9793294270833334}, {"start": 17.53, "end": 17.53, "word": " بسم", "probability": 0.956298828125}, {"start": 17.53, "end": 17.53, "word": " الله", "probability": 0.67041015625}, {"start": 17.53, "end": 17.53, "word": " الرحمن", "probability": 0.9864908854166666}, {"start": 17.53, "end": 17.53, "word": " الرحيم", "probability": 0.9542643229166666}, {"start": 17.53, "end": 17.53, "word": " بسم", "probability": 0.956787109375}, {"start": 17.53, "end": 17.53, "word": " الله", "probability": 0.53076171875}, {"start": 17.53, "end": 17.53, "word": " الرحمن", "probability": 0.9860026041666666}, {"start": 17.53, "end": 17.53, "word": " الرحيم", "probability": 0.87255859375}, {"start": 17.53, "end": 17.53, "word": " بسم", "probability": 0.95703125}, {"start": 17.53, "end": 17.53, "word": " الله", "probability": 0.362548828125}, {"start": 17.53, "end": 17.53, "word": " الرحمن", "probability": 0.9850260416666666}, {"start": 17.53, "end": 17.53, "word": " الرحمن", "probability": 0.8600260416666666}, {"start": 17.53, "end": 17.73, "word": " الرحيم", "probability": 0.9601236979166666}, {"start": 17.73, "end": 19.29, "word": " بسم", "probability": 0.952392578125}, {"start": 19.29, "end": 19.31, "word": " الله", "probability": 0.20947265625}, {"start": 19.31, "end": 19.57, "word": " الرحمن", "probability": 0.9816080729166666}, {"start": 19.57, "end": 19.77, "word": " الرحمن", "probability": 0.9646809895833334}, {"start": 19.77, "end": 19.97, "word": " الرحيم", "probability": 0.87548828125}, {"start": 19.97, "end": 20.37, "word": " بسم", "probability": 0.953125}, {"start": 20.37, "end": 20.37, "word": " الله", "probability": 0.1280517578125}, {"start": 20.37, "end": 20.37, "word": " الرحمن", "probability": 0.9778645833333334}, {"start": 20.37, "end": 20.45, "word": " الرحمن", "probability": 0.9729817708333334}, {"start": 20.45, "end": 20.45, "word": " الرحمن", "probability": 0.8206380208333334}, {"start": 20.45, "end": 20.67, "word": " الرحمن", "probability": 0.7762044270833334}, {"start": 20.67, "end": 20.73, "word": " الرحمن", "probability": 0.8642578125}, {"start": 20.73, "end": 20.73, "word": " الرحمن", "probability": 0.9376627604166666}, {"start": 20.73, "end": 20.73, "word": " الرحمن", "probability": 0.958984375}, {"start": 20.73, "end": 20.73, "word": " الرحمن", "probability": 0.96484375}, {"start": 20.73, "end": 20.73, "word": " الرحمن", "probability": 0.96826171875}, {"start": 20.73, "end": 20.73, "word": " الرحمن", "probability": 0.9695638020833334}, {"start": 20.73, "end": 20.73, "word": " الرحمن", "probability": 0.9698893229166666}, {"start": 20.73, "end": 20.73, "word": " الرحمن", "probability": 0.9708658854166666}, {"start": 20.73, "end": 20.73, "word": " الرحمن", "probability": 0.9713541666666666}, {"start": 20.73, "end": 20.73, "word": " الرحمن", "probability": 0.97119140625}, {"start": 20.73, "end": 20.73, "word": " الرحمن", "probability": 0.9705403645833334}, {"start": 20.73, "end": 20.81, "word": " الرحمن", "probability": 0.9700520833333334}, {"start": 20.81, "end": 24.11, "word": " الرحمن", "probability": 0.9689127604166666}, {"start": 24.11, "end": 26.59, "word": " الرح", "probability": 0.96044921875}], "temperature": 1.0}, {"id": 2, "seek": 5815, "start": 29.31, "end": 58.15, "text": " As long as the image distance is unknown, I cannot draw it on the right of the lens or on the left until I get the result The simple solution is to say that the transference magnification is equal to the image distance which is unknown over the object distance I want the image distance Image distance is equal to the transference magnification times the object distance", "tokens": [1018, 938, 382, 264, 3256, 4560, 307, 9841, 11, 286, 2644, 2642, 309, 322, 264, 558, 295, 264, 6765, 420, 322, 264, 1411, 1826, 286, 483, 264, 1874, 440, 2199, 3827, 307, 281, 584, 300, 264, 5003, 655, 4944, 3774, 307, 2681, 281, 264, 3256, 4560, 597, 307, 9841, 670, 264, 2657, 4560, 286, 528, 264, 3256, 4560, 29903, 4560, 307, 2681, 281, 264, 5003, 655, 4944, 3774, 1413, 264, 2657, 4560], "avg_logprob": -0.3234160893583951, "compression_ratio": 2.0497237569060776, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 29.31, "end": 29.67, "word": " As", "probability": 0.44482421875}, {"start": 29.67, "end": 29.67, "word": " long", "probability": 0.67333984375}, {"start": 29.67, "end": 29.83, "word": " as", "probability": 0.96875}, {"start": 29.83, "end": 29.97, "word": " the", "probability": 0.8349609375}, {"start": 29.97, "end": 30.29, "word": " image", "probability": 0.80615234375}, {"start": 30.29, "end": 30.85, "word": " distance", "probability": 0.93408203125}, {"start": 30.85, "end": 31.05, "word": " is", "probability": 0.7705078125}, {"start": 31.05, "end": 31.31, "word": " unknown,", "probability": 0.921875}, {"start": 31.49, "end": 31.63, "word": " I", "probability": 0.96484375}, {"start": 31.63, "end": 32.01, "word": " cannot", "probability": 0.407958984375}, {"start": 32.01, "end": 32.47, "word": " draw", "probability": 0.82421875}, {"start": 32.47, "end": 32.65, "word": " it", "probability": 0.857421875}, {"start": 32.65, "end": 32.83, "word": " on", "probability": 0.787109375}, {"start": 32.83, "end": 32.93, "word": " the", "probability": 0.900390625}, {"start": 32.93, "end": 33.09, "word": " right", "probability": 0.74462890625}, {"start": 33.09, "end": 33.21, "word": " of", "probability": 0.27392578125}, {"start": 33.21, "end": 33.29, "word": " the", "probability": 0.896484375}, {"start": 33.29, "end": 33.63, "word": " lens", "probability": 0.76171875}, {"start": 33.63, "end": 34.33, "word": " or", "probability": 0.52099609375}, {"start": 34.33, "end": 34.51, "word": " on", "probability": 0.857421875}, {"start": 34.51, "end": 34.67, "word": " the", "probability": 0.79248046875}, {"start": 34.67, "end": 34.87, "word": " left", "probability": 0.94970703125}, {"start": 34.87, "end": 35.15, "word": " until", "probability": 0.294189453125}, {"start": 35.15, "end": 35.41, "word": " I", "probability": 0.460205078125}, {"start": 35.41, "end": 35.77, "word": " get", "probability": 0.72265625}, {"start": 35.77, "end": 38.75, "word": " the", "probability": 0.86279296875}, {"start": 38.75, "end": 38.99, "word": " result", "probability": 0.7333984375}, {"start": 38.99, "end": 39.13, "word": " The", "probability": 0.1688232421875}, {"start": 39.13, "end": 39.23, "word": " simple", "probability": 0.72412109375}, {"start": 39.23, "end": 39.65, "word": " solution", "probability": 0.91064453125}, {"start": 39.65, "end": 40.43, "word": " is", "probability": 0.71875}, {"start": 40.43, "end": 40.53, "word": " to", "probability": 0.63232421875}, {"start": 40.53, "end": 40.79, "word": " say", "probability": 0.90869140625}, {"start": 40.79, "end": 41.49, "word": " that", "probability": 0.54296875}, {"start": 41.49, "end": 41.55, "word": " the", "probability": 0.697265625}, {"start": 41.55, "end": 42.29, "word": " transference", "probability": 0.494140625}, {"start": 42.29, "end": 43.21, "word": " magnification", "probability": 0.88330078125}, {"start": 43.21, "end": 43.95, "word": " is", "probability": 0.45654296875}, {"start": 43.95, "end": 44.35, "word": " equal", "probability": 0.88134765625}, {"start": 44.35, "end": 45.11, "word": " to", "probability": 0.970703125}, {"start": 45.11, "end": 45.29, "word": " the", "probability": 0.783203125}, {"start": 45.29, "end": 45.49, "word": " image", "probability": 0.46630859375}, {"start": 45.49, "end": 46.21, "word": " distance", "probability": 0.94140625}, {"start": 46.21, "end": 47.13, "word": " which", "probability": 0.439697265625}, {"start": 47.13, "end": 47.29, "word": " is", "probability": 0.939453125}, {"start": 47.29, "end": 47.75, "word": " unknown", "probability": 0.73779296875}, {"start": 47.75, "end": 48.09, "word": " over", "probability": 0.4892578125}, {"start": 48.09, "end": 48.25, "word": " the", "probability": 0.85888671875}, {"start": 48.25, "end": 48.59, "word": " object", "probability": 0.95068359375}, {"start": 48.59, "end": 49.27, "word": " distance", "probability": 0.91748046875}, {"start": 49.27, "end": 50.47, "word": " I", "probability": 0.80078125}, {"start": 50.47, "end": 50.69, "word": " want", "probability": 0.79052734375}, {"start": 50.69, "end": 50.85, "word": " the", "probability": 0.7099609375}, {"start": 50.85, "end": 51.07, "word": " image", "probability": 0.92333984375}, {"start": 51.07, "end": 51.59, "word": " distance", "probability": 0.93310546875}, {"start": 51.59, "end": 51.97, "word": " Image", "probability": 0.34326171875}, {"start": 51.97, "end": 52.73, "word": " distance", "probability": 0.90625}, {"start": 52.73, "end": 53.79, "word": " is", "probability": 0.55859375}, {"start": 53.79, "end": 54.21, "word": " equal", "probability": 0.88916015625}, {"start": 54.21, "end": 54.73, "word": " to", "probability": 0.97509765625}, {"start": 54.73, "end": 54.85, "word": " the", "probability": 0.697265625}, {"start": 54.85, "end": 55.53, "word": " transference", "probability": 0.96826171875}, {"start": 55.53, "end": 56.39, "word": " magnification", "probability": 0.968017578125}, {"start": 56.39, "end": 56.83, "word": " times", "probability": 0.5146484375}, {"start": 56.83, "end": 57.07, "word": " the", "probability": 0.7431640625}, {"start": 57.07, "end": 57.43, "word": " object", "probability": 0.95556640625}, {"start": 57.43, "end": 58.15, "word": " distance", "probability": 0.93408203125}], "temperature": 1.0}, {"id": 3, "seek": 8238, "start": 59.7, "end": 82.38, "text": "Transphase magnification is minus 4. Dark. The object distance. The object distance on the left is a minus sign. 25 cm is a meter, so it is a quarter of a meter. Minus times minus is plus. Four times a quarter is one.", "tokens": [33339, 43331, 4944, 3774, 307, 3175, 1017, 13, 9563, 13, 440, 2657, 4560, 13, 440, 2657, 4560, 322, 264, 1411, 307, 257, 3175, 1465, 13, 3552, 14668, 307, 257, 9255, 11, 370, 309, 307, 257, 6555, 295, 257, 9255, 13, 2829, 301, 1413, 3175, 307, 1804, 13, 7451, 1413, 257, 6555, 307, 472, 13], "avg_logprob": -0.593750017339533, "compression_ratio": 1.5955882352941178, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 59.7, "end": 60.44, "word": "Transphase", "probability": 0.340087890625}, {"start": 60.44, "end": 61.18, "word": " magnification", "probability": 0.673583984375}, {"start": 61.18, "end": 61.32, "word": " is", "probability": 0.200439453125}, {"start": 61.32, "end": 61.56, "word": " minus", "probability": 0.237548828125}, {"start": 61.56, "end": 62.02, "word": " 4.", "probability": 0.58642578125}, {"start": 63.68, "end": 64.42, "word": " Dark.", "probability": 0.26513671875}, {"start": 64.7, "end": 64.84, "word": " The", "probability": 0.5615234375}, {"start": 64.84, "end": 65.12, "word": " object", "probability": 0.8759765625}, {"start": 65.12, "end": 65.82, "word": " distance.", "probability": 0.890625}, {"start": 66.18, "end": 66.46, "word": " The", "probability": 0.67724609375}, {"start": 66.46, "end": 66.76, "word": " object", "probability": 0.80615234375}, {"start": 66.76, "end": 67.24, "word": " distance", "probability": 0.9404296875}, {"start": 67.24, "end": 67.46, "word": " on", "probability": 0.59423828125}, {"start": 67.46, "end": 67.6, "word": " the", "probability": 0.89111328125}, {"start": 67.6, "end": 67.8, "word": " left", "probability": 0.93994140625}, {"start": 67.8, "end": 68.18, "word": " is", "probability": 0.2020263671875}, {"start": 68.18, "end": 68.62, "word": " a", "probability": 0.1524658203125}, {"start": 68.62, "end": 69.36, "word": " minus", "probability": 0.83203125}, {"start": 69.36, "end": 69.4, "word": " sign.", "probability": 0.76171875}, {"start": 70.08, "end": 70.68, "word": " 25", "probability": 0.75439453125}, {"start": 70.68, "end": 71.26, "word": " cm", "probability": 0.410400390625}, {"start": 71.26, "end": 71.46, "word": " is", "probability": 0.3193359375}, {"start": 71.46, "end": 71.9, "word": " a", "probability": 0.37353515625}, {"start": 71.9, "end": 72.26, "word": " meter,", "probability": 0.83935546875}, {"start": 72.44, "end": 72.74, "word": " so", "probability": 0.61279296875}, {"start": 72.74, "end": 73.38, "word": " it", "probability": 0.472412109375}, {"start": 73.38, "end": 73.72, "word": " is", "probability": 0.572265625}, {"start": 73.72, "end": 74.9, "word": " a", "probability": 0.368896484375}, {"start": 74.9, "end": 75.04, "word": " quarter", "probability": 0.9111328125}, {"start": 75.04, "end": 75.04, "word": " of", "probability": 0.66064453125}, {"start": 75.04, "end": 75.22, "word": " a", "probability": 0.93115234375}, {"start": 75.22, "end": 75.44, "word": " meter.", "probability": 0.92236328125}, {"start": 76.28, "end": 77.02, "word": " Minus", "probability": 0.8701171875}, {"start": 77.02, "end": 77.2, "word": " times", "probability": 0.142578125}, {"start": 77.2, "end": 77.58, "word": " minus", "probability": 0.9775390625}, {"start": 77.58, "end": 77.74, "word": " is", "probability": 0.66796875}, {"start": 77.74, "end": 78.18, "word": " plus.", "probability": 0.63037109375}, {"start": 80.32, "end": 81.06, "word": " Four", "probability": 0.478271484375}, {"start": 81.06, "end": 81.44, "word": " times", "probability": 0.89013671875}, {"start": 81.44, "end": 81.58, "word": " a", "probability": 0.568359375}, {"start": 81.58, "end": 81.84, "word": " quarter", "probability": 0.861328125}, {"start": 81.84, "end": 82.22, "word": " is", "probability": 0.8037109375}, {"start": 82.22, "end": 82.38, "word": " one.", "probability": 0.56640625}], "temperature": 1.0}, {"id": 4, "seek": 8824, "start": 84.76, "end": 88.24, "text": " So the distance of the picture is plus 1 meter", "tokens": [407, 264, 4560, 295, 264, 3036, 307, 1804, 502, 9255], "avg_logprob": -0.859375, "compression_ratio": 0.9215686274509803, "no_speech_prob": 1.1265277862548828e-05, "words": [{"start": 84.75999999999999, "end": 85.46, "word": " So", "probability": 0.05328369140625}, {"start": 85.46, "end": 86.08, "word": " the", "probability": 0.326904296875}, {"start": 86.08, "end": 86.54, "word": " distance", "probability": 0.76708984375}, {"start": 86.54, "end": 86.8, "word": " of", "probability": 0.52001953125}, {"start": 86.8, "end": 86.88, "word": " the", "probability": 0.6689453125}, {"start": 86.88, "end": 87.08, "word": " picture", "probability": 0.308837890625}, {"start": 87.08, "end": 87.18, "word": " is", "probability": 0.392333984375}, {"start": 87.18, "end": 87.54, "word": " plus", "probability": 0.5458984375}, {"start": 87.54, "end": 87.88, "word": " 1", "probability": 0.54443359375}, {"start": 87.88, "end": 88.24, "word": " meter", "probability": 0.7763671875}], "temperature": 1.0}, {"id": 5, "seek": 11497, "start": 90.63, "end": 114.97, "text": " on the right of the lens 1 meter on the right of the lens 1 meter ok, what if I draw the image up and what if I draw it down? I go back to the transphase magnification as long as there is a minus sign in it, then the image is inverted for the object the object is up, so what is it? down this is what I drew four times the height of the object one meter away from", "tokens": [322, 264, 558, 295, 264, 6765, 502, 9255, 322, 264, 558, 295, 264, 6765, 502, 9255, 3133, 11, 437, 498, 286, 2642, 264, 3256, 493, 293, 437, 498, 286, 2642, 309, 760, 30, 286, 352, 646, 281, 264, 1145, 43331, 4944, 3774, 382, 938, 382, 456, 307, 257, 3175, 1465, 294, 309, 11, 550, 264, 3256, 307, 38969, 337, 264, 2657, 264, 2657, 307, 493, 11, 370, 437, 307, 309, 30, 760, 341, 307, 437, 286, 12804, 1451, 1413, 264, 6681, 295, 264, 2657, 472, 9255, 1314, 490], "avg_logprob": -0.4698033573922147, "compression_ratio": 1.8762886597938144, "no_speech_prob": 4.827976226806641e-06, "words": [{"start": 90.63, "end": 90.99, "word": " on", "probability": 0.14306640625}, {"start": 90.99, "end": 91.15, "word": " the", "probability": 0.833984375}, {"start": 91.15, "end": 91.43, "word": " right", "probability": 0.8193359375}, {"start": 91.43, "end": 91.69, "word": " of", "probability": 0.52490234375}, {"start": 91.69, "end": 91.75, "word": " the", "probability": 0.84521484375}, {"start": 91.75, "end": 92.07, "word": " lens", "probability": 0.59130859375}, {"start": 92.07, "end": 92.99, "word": " 1", "probability": 0.2119140625}, {"start": 92.99, "end": 93.79, "word": " meter", "probability": 0.69580078125}, {"start": 93.79, "end": 94.21, "word": " on", "probability": 0.2298583984375}, {"start": 94.21, "end": 94.39, "word": " the", "probability": 0.87451171875}, {"start": 94.39, "end": 94.53, "word": " right", "probability": 0.814453125}, {"start": 94.53, "end": 94.67, "word": " of", "probability": 0.93310546875}, {"start": 94.67, "end": 94.77, "word": " the", "probability": 0.92041015625}, {"start": 94.77, "end": 95.05, "word": " lens", "probability": 0.93505859375}, {"start": 95.05, "end": 95.41, "word": " 1", "probability": 0.86083984375}, {"start": 95.41, "end": 96.43, "word": " meter", "probability": 0.90234375}, {"start": 96.43, "end": 96.83, "word": " ok,", "probability": 0.09954833984375}, {"start": 96.95, "end": 97.05, "word": " what", "probability": 0.1861572265625}, {"start": 97.05, "end": 97.21, "word": " if", "probability": 0.87890625}, {"start": 97.21, "end": 97.35, "word": " I", "probability": 0.8095703125}, {"start": 97.35, "end": 97.59, "word": " draw", "probability": 0.79345703125}, {"start": 97.59, "end": 97.77, "word": " the", "probability": 0.66943359375}, {"start": 97.77, "end": 97.97, "word": " image", "probability": 0.46875}, {"start": 97.97, "end": 98.25, "word": " up", "probability": 0.459228515625}, {"start": 98.25, "end": 98.61, "word": " and", "probability": 0.75048828125}, {"start": 98.61, "end": 98.69, "word": " what", "probability": 0.297119140625}, {"start": 98.69, "end": 98.75, "word": " if", "probability": 0.92041015625}, {"start": 98.75, "end": 98.91, "word": " I", "probability": 0.9638671875}, {"start": 98.91, "end": 98.95, "word": " draw", "probability": 0.87939453125}, {"start": 98.95, "end": 99.13, "word": " it", "probability": 0.693359375}, {"start": 99.13, "end": 99.51, "word": " down?", "probability": 0.80126953125}, {"start": 99.91, "end": 100.17, "word": " I", "probability": 0.85302734375}, {"start": 100.17, "end": 100.19, "word": " go", "probability": 0.469970703125}, {"start": 100.19, "end": 100.39, "word": " back", "probability": 0.88037109375}, {"start": 100.39, "end": 100.57, "word": " to", "probability": 0.96142578125}, {"start": 100.57, "end": 100.63, "word": " the", "probability": 0.59130859375}, {"start": 100.63, "end": 101.17, "word": " transphase", "probability": 0.5146484375}, {"start": 101.17, "end": 102.05, "word": " magnification", "probability": 0.96728515625}, {"start": 102.05, "end": 102.67, "word": " as", "probability": 0.6708984375}, {"start": 102.67, "end": 102.89, "word": " long", "probability": 0.89111328125}, {"start": 102.89, "end": 102.91, "word": " as", "probability": 0.96240234375}, {"start": 102.91, "end": 103.11, "word": " there", "probability": 0.83251953125}, {"start": 103.11, "end": 103.15, "word": " is", "probability": 0.9111328125}, {"start": 103.15, "end": 103.67, "word": " a", "probability": 0.78955078125}, {"start": 103.67, "end": 103.73, "word": " minus", "probability": 0.5869140625}, {"start": 103.73, "end": 103.73, "word": " sign", "probability": 0.70703125}, {"start": 103.73, "end": 103.73, "word": " in", "probability": 0.2105712890625}, {"start": 103.73, "end": 104.27, "word": " it,", "probability": 0.72412109375}, {"start": 104.41, "end": 104.53, "word": " then", "probability": 0.62255859375}, {"start": 104.53, "end": 104.69, "word": " the", "probability": 0.87744140625}, {"start": 104.69, "end": 104.93, "word": " image", "probability": 0.775390625}, {"start": 104.93, "end": 105.13, "word": " is", "probability": 0.84228515625}, {"start": 105.13, "end": 105.43, "word": " inverted", "probability": 0.293212890625}, {"start": 105.43, "end": 105.91, "word": " for", "probability": 0.287109375}, {"start": 105.91, "end": 106.23, "word": " the", "probability": 0.87255859375}, {"start": 106.23, "end": 106.51, "word": " object", "probability": 0.95654296875}, {"start": 106.51, "end": 106.75, "word": " the", "probability": 0.330322265625}, {"start": 106.75, "end": 107.09, "word": " object", "probability": 0.9482421875}, {"start": 107.09, "end": 107.29, "word": " is", "probability": 0.40087890625}, {"start": 107.29, "end": 107.45, "word": " up,", "probability": 0.67919921875}, {"start": 107.73, "end": 107.93, "word": " so", "probability": 0.5302734375}, {"start": 107.93, "end": 108.35, "word": " what", "probability": 0.65283203125}, {"start": 108.35, "end": 108.35, "word": " is", "probability": 0.7744140625}, {"start": 108.35, "end": 108.35, "word": " it?", "probability": 0.8505859375}, {"start": 109.03, "end": 109.37, "word": " down", "probability": 0.42919921875}, {"start": 109.37, "end": 110.07, "word": " this", "probability": 0.27001953125}, {"start": 110.07, "end": 110.19, "word": " is", "probability": 0.5322265625}, {"start": 110.19, "end": 110.23, "word": " what", "probability": 0.3544921875}, {"start": 110.23, "end": 110.23, "word": " I", "probability": 0.8974609375}, {"start": 110.23, "end": 110.51, "word": " drew", "probability": 0.85791015625}, {"start": 110.51, "end": 110.99, "word": " four", "probability": 0.410888671875}, {"start": 110.99, "end": 111.49, "word": " times", "probability": 0.81689453125}, {"start": 111.49, "end": 111.75, "word": " the", "probability": 0.76513671875}, {"start": 111.75, "end": 112.19, "word": " height", "probability": 0.84326171875}, {"start": 112.19, "end": 112.69, "word": " of", "probability": 0.94677734375}, {"start": 112.69, "end": 112.75, "word": " the", "probability": 0.90966796875}, {"start": 112.75, "end": 113.17, "word": " object", "probability": 0.96923828125}, {"start": 113.17, "end": 113.91, "word": " one", "probability": 0.41552734375}, {"start": 113.91, "end": 114.55, "word": " meter", "probability": 0.9345703125}, {"start": 114.55, "end": 114.55, "word": " away", "probability": 0.85009765625}, {"start": 114.55, "end": 114.97, "word": " from", "probability": 0.89111328125}], "temperature": 1.0}, {"id": 6, "seek": 12881, "start": 115.59, "end": 128.81, "text": "العدسة وهيك بتكون حلت المسألة إذا ال image distance plus 1 meter الصورة تبعد عن يمين العدسة المقدار 1 meter ويعطيكم العافية والسلام عليكم ورحمة الله وبركة", "tokens": [6027, 3615, 3215, 3794, 3660, 37037, 1829, 4117, 39894, 30544, 11331, 1211, 2655, 9673, 3794, 10721, 37977, 11933, 15730, 2423, 3256, 4560, 1804, 502, 9255, 31767, 13063, 3660, 6055, 3555, 22488, 18871, 7251, 2304, 9957, 18863, 3215, 3794, 3660, 9673, 28543, 9640, 502, 9255, 4032, 40228, 9566, 1829, 24793, 18863, 31845, 10632, 16070, 3794, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 3660], "avg_logprob": -0.1900653007315166, "compression_ratio": 1.488235294117647, "no_speech_prob": 4.351139068603516e-06, "words": [{"start": 115.59, "end": 116.43, "word": "العدسة", "probability": 0.78232421875}, {"start": 116.43, "end": 116.97, "word": " وهيك", "probability": 0.7412923177083334}, {"start": 116.97, "end": 117.35, "word": " بتكون", "probability": 0.968505859375}, {"start": 117.35, "end": 118.29, "word": " حلت", "probability": 0.53662109375}, {"start": 118.29, "end": 118.79, "word": " المسألة", "probability": 0.8094482421875}, {"start": 118.79, "end": 119.03, "word": " إذا", "probability": 0.6158447265625}, {"start": 119.03, "end": 119.19, "word": " ال", "probability": 0.8408203125}, {"start": 119.19, "end": 119.53, "word": " image", "probability": 0.81982421875}, {"start": 119.53, "end": 120.11, "word": " distance", "probability": 0.93408203125}, {"start": 120.11, "end": 120.53, "word": " plus", "probability": 0.78173828125}, {"start": 120.53, "end": 120.91, "word": " 1", "probability": 0.7265625}, {"start": 120.91, "end": 121.31, "word": " meter", "probability": 0.68603515625}, {"start": 121.31, "end": 122.09, "word": " الصورة", "probability": 0.9510091145833334}, {"start": 122.09, "end": 122.61, "word": " تبعد", "probability": 0.9366861979166666}, {"start": 122.61, "end": 122.83, "word": " عن", "probability": 0.98828125}, {"start": 122.83, "end": 123.19, "word": " يمين", "probability": 0.9685872395833334}, {"start": 123.19, "end": 123.69, "word": " العدسة", "probability": 0.99462890625}, {"start": 123.69, "end": 124.19, "word": " المقدار", "probability": 0.77587890625}, {"start": 124.19, "end": 124.43, "word": " 1", "probability": 0.94873046875}, {"start": 124.43, "end": 124.77, "word": " meter", "probability": 0.6064453125}, {"start": 124.77, "end": 125.27, "word": " ويعطيكم", "probability": 0.85869140625}, {"start": 125.27, "end": 125.71, "word": " العافية", "probability": 0.9415690104166666}, {"start": 125.71, "end": 126.15, "word": " والسلام", "probability": 0.7802734375}, {"start": 126.15, "end": 126.77, "word": " عليكم", "probability": 0.9423828125}, {"start": 126.77, "end": 127.29, "word": " ورحمة", "probability": 0.984375}, {"start": 127.29, "end": 127.65, "word": " الله", "probability": 0.9755859375}, {"start": 127.65, "end": 128.81, "word": " وبركة", "probability": 0.8717041015625}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 129.1261875, "duration_after_vad": 120.48937499999997}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/YZ8rCqxkda8_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/YZ8rCqxkda8_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..5ef59d165138fbe371d46d251e52af4a71236ef1
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/YZ8rCqxkda8_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 1212, "start": 2.02, "end": 12.12, "text": "In the name of God, we are going to continue with the lectures on Geometric Optics, and today we are going to talk about the vector addition of prisms", "tokens": [4575, 264, 1315, 295, 1265, 11, 321, 366, 516, 281, 2354, 365, 264, 16564, 322, 2876, 29470, 21455, 1167, 11, 293, 965, 321, 366, 516, 281, 751, 466, 264, 8062, 4500, 295, 582, 13539], "avg_logprob": -0.4107142720903669, "compression_ratio": 1.3392857142857142, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 2.02, "end": 2.2, "word": "In", "probability": 0.58203125}, {"start": 2.2, "end": 2.34, "word": " the", "probability": 0.9208984375}, {"start": 2.34, "end": 2.34, "word": " name", "probability": 0.837890625}, {"start": 2.34, "end": 2.42, "word": " of", "probability": 0.97802734375}, {"start": 2.42, "end": 2.48, "word": " God,", "probability": 0.62548828125}, {"start": 2.58, "end": 2.78, "word": " we", "probability": 0.525390625}, {"start": 2.78, "end": 2.84, "word": " are", "probability": 0.38037109375}, {"start": 2.84, "end": 3.2, "word": " going", "probability": 0.2432861328125}, {"start": 3.2, "end": 3.48, "word": " to", "probability": 0.9365234375}, {"start": 3.48, "end": 3.88, "word": " continue", "probability": 0.8173828125}, {"start": 3.88, "end": 4.16, "word": " with", "probability": 0.62255859375}, {"start": 4.16, "end": 4.26, "word": " the", "probability": 0.465087890625}, {"start": 4.26, "end": 4.62, "word": " lectures", "probability": 0.6259765625}, {"start": 4.62, "end": 5.08, "word": " on", "probability": 0.50927734375}, {"start": 5.08, "end": 5.72, "word": " Geometric", "probability": 0.755859375}, {"start": 5.72, "end": 6.44, "word": " Optics,", "probability": 0.955322265625}, {"start": 6.88, "end": 7.34, "word": " and", "probability": 0.826171875}, {"start": 7.34, "end": 8.34, "word": " today", "probability": 0.317626953125}, {"start": 8.34, "end": 8.44, "word": " we", "probability": 0.83740234375}, {"start": 8.44, "end": 8.44, "word": " are", "probability": 0.361083984375}, {"start": 8.44, "end": 8.44, "word": " going", "probability": 0.91943359375}, {"start": 8.44, "end": 9.22, "word": " to", "probability": 0.96923828125}, {"start": 9.22, "end": 9.6, "word": " talk", "probability": 0.77490234375}, {"start": 9.6, "end": 10.2, "word": " about", "probability": 0.90185546875}, {"start": 10.2, "end": 10.34, "word": " the", "probability": 0.68115234375}, {"start": 10.34, "end": 10.7, "word": " vector", "probability": 0.83056640625}, {"start": 10.7, "end": 11.3, "word": " addition", "probability": 0.96337890625}, {"start": 11.3, "end": 11.62, "word": " of", "probability": 0.955078125}, {"start": 11.62, "end": 12.12, "word": " prisms", "probability": 0.75439453125}], "temperature": 1.0}, {"id": 2, "seek": 4103, "start": 20.25, "end": 41.03, "text": "معروف انه جمع القوة المتجهة لإيجاد قوة مكافئة يعني لو في عندي قوتين كل واحدة بتعمل على محور معين ممكن انا اجد القوة المكافئة لهدول القوتين وبيسموها الجمع المتجه للقوة", "tokens": [2304, 3615, 32887, 5172, 16472, 3224, 10874, 2304, 3615, 25062, 2407, 3660, 9673, 2655, 7435, 3224, 3660, 5296, 28814, 1829, 7435, 18513, 12174, 2407, 3660, 3714, 4117, 31845, 19986, 3660, 37495, 22653, 45164, 8978, 18871, 16254, 12174, 35473, 9957, 28242, 36764, 24401, 3660, 39894, 25957, 1211, 15844, 3714, 5016, 13063, 20449, 9957, 3714, 43020, 1975, 8315, 1975, 7435, 3215, 25062, 2407, 3660, 9673, 4117, 31845, 19986, 3660, 5296, 3224, 3215, 12610, 25062, 35473, 9957, 4032, 21292, 38251, 2407, 11296, 25724, 2304, 3615, 9673, 2655, 7435, 3224, 24976, 4587, 2407, 3660], "avg_logprob": -0.13727678374929742, "compression_ratio": 1.8819875776397517, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 20.25, "end": 21.39, "word": "معروف", "probability": 0.722412109375}, {"start": 21.39, "end": 22.25, "word": " انه", "probability": 0.7978515625}, {"start": 22.25, "end": 23.27, "word": " جمع", "probability": 0.9065755208333334}, {"start": 23.27, "end": 23.71, "word": " القوة", "probability": 0.8203938802083334}, {"start": 23.71, "end": 25.17, "word": " المتجهة", "probability": 0.9568359375}, {"start": 25.17, "end": 27.91, "word": " لإيجاد", "probability": 0.8919921875}, {"start": 27.91, "end": 28.89, "word": " قوة", "probability": 0.98193359375}, {"start": 28.89, "end": 29.87, "word": " مكافئة", "probability": 0.9734375}, {"start": 29.87, "end": 30.09, "word": " يعني", "probability": 0.6077880859375}, {"start": 30.09, "end": 30.27, "word": " لو", "probability": 0.89208984375}, {"start": 30.27, "end": 30.39, "word": " في", "probability": 0.74267578125}, {"start": 30.39, "end": 30.63, "word": " عندي", "probability": 0.873046875}, {"start": 30.63, "end": 31.21, "word": " قوتين", "probability": 0.9773763020833334}, {"start": 31.21, "end": 31.45, "word": " كل", "probability": 0.443115234375}, {"start": 31.45, "end": 31.79, "word": " واحدة", "probability": 0.9798177083333334}, {"start": 31.79, "end": 32.25, "word": " بتعمل", "probability": 0.9708658854166666}, {"start": 32.25, "end": 32.45, "word": " على", "probability": 0.83544921875}, {"start": 32.45, "end": 32.81, "word": " محور", "probability": 0.9920247395833334}, {"start": 32.81, "end": 33.37, "word": " معين", "probability": 0.98388671875}, {"start": 33.37, "end": 34.29, "word": " ممكن", "probability": 0.97314453125}, {"start": 34.29, "end": 34.69, "word": " انا", "probability": 0.85791015625}, {"start": 34.69, "end": 35.41, "word": " اجد", "probability": 0.9191080729166666}, {"start": 35.41, "end": 36.39, "word": " القوة", "probability": 0.9873046875}, {"start": 36.39, "end": 37.63, "word": " المكافئة", "probability": 0.97958984375}, {"start": 37.63, "end": 38.03, "word": " لهدول", "probability": 0.71630859375}, {"start": 38.03, "end": 38.71, "word": " القوتين", "probability": 0.90966796875}, {"start": 38.71, "end": 39.45, "word": " وبيسموها", "probability": 0.86708984375}, {"start": 39.45, "end": 39.87, "word": " الجمع", "probability": 0.8834635416666666}, {"start": 39.87, "end": 40.49, "word": " المتجه", "probability": 0.9652099609375}, {"start": 40.49, "end": 41.03, "word": " للقوة", "probability": 0.9781494140625}], "temperature": 1.0}, {"id": 3, "seek": 5500, "start": 41.32, "end": 55.0, "text": "Also for prisms, they can be collected one by one, but we say why this case is necessary, why this case is necessary, we go back here and say as follows, a person must have a prism", "tokens": [9171, 539, 337, 16163, 2592, 11, 436, 393, 312, 11087, 472, 538, 472, 11, 457, 321, 584, 983, 341, 1389, 307, 4818, 11, 983, 341, 1389, 307, 4818, 11, 321, 352, 646, 510, 293, 584, 382, 10002, 11, 257, 954, 1633, 362, 257, 16163, 76], "avg_logprob": -0.5455162991648135, "compression_ratio": 1.5254237288135593, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 41.32, "end": 41.82, "word": "Also", "probability": 0.6915283203125}, {"start": 41.82, "end": 41.96, "word": " for", "probability": 0.278076171875}, {"start": 41.96, "end": 42.5, "word": " prisms,", "probability": 0.6226806640625}, {"start": 42.88, "end": 43.14, "word": " they", "probability": 0.185302734375}, {"start": 43.14, "end": 43.5, "word": " can", "probability": 0.654296875}, {"start": 43.5, "end": 43.98, "word": " be", "probability": 0.81884765625}, {"start": 43.98, "end": 44.36, "word": " collected", "probability": 0.255615234375}, {"start": 44.36, "end": 44.58, "word": " one", "probability": 0.396484375}, {"start": 44.58, "end": 44.76, "word": " by", "probability": 0.52978515625}, {"start": 44.76, "end": 44.8, "word": " one,", "probability": 0.93212890625}, {"start": 44.8, "end": 45.52, "word": " but", "probability": 0.5703125}, {"start": 45.52, "end": 46.06, "word": " we", "probability": 0.67578125}, {"start": 46.06, "end": 46.36, "word": " say", "probability": 0.163818359375}, {"start": 46.36, "end": 46.64, "word": " why", "probability": 0.63134765625}, {"start": 46.64, "end": 46.92, "word": " this", "probability": 0.52587890625}, {"start": 46.92, "end": 47.36, "word": " case", "probability": 0.4775390625}, {"start": 47.36, "end": 47.62, "word": " is", "probability": 0.7509765625}, {"start": 47.62, "end": 47.9, "word": " necessary,", "probability": 0.386474609375}, {"start": 47.98, "end": 48.2, "word": " why", "probability": 0.576171875}, {"start": 48.2, "end": 48.58, "word": " this", "probability": 0.85009765625}, {"start": 48.58, "end": 48.94, "word": " case", "probability": 0.9169921875}, {"start": 48.94, "end": 49.2, "word": " is", "probability": 0.9345703125}, {"start": 49.2, "end": 49.48, "word": " necessary,", "probability": 0.90625}, {"start": 49.56, "end": 49.72, "word": " we", "probability": 0.69775390625}, {"start": 49.72, "end": 49.86, "word": " go", "probability": 0.477294921875}, {"start": 49.86, "end": 50.06, "word": " back", "probability": 0.8603515625}, {"start": 50.06, "end": 50.4, "word": " here", "probability": 0.75390625}, {"start": 50.4, "end": 50.94, "word": " and", "probability": 0.5908203125}, {"start": 50.94, "end": 51.18, "word": " say", "probability": 0.82568359375}, {"start": 51.18, "end": 51.38, "word": " as", "probability": 0.68798828125}, {"start": 51.38, "end": 51.8, "word": " follows,", "probability": 0.7353515625}, {"start": 52.14, "end": 52.6, "word": " a", "probability": 0.329345703125}, {"start": 52.6, "end": 52.62, "word": " person", "probability": 0.86572265625}, {"start": 52.62, "end": 54.22, "word": " must", "probability": 0.377197265625}, {"start": 54.22, "end": 54.54, "word": " have", "probability": 0.71484375}, {"start": 54.54, "end": 54.64, "word": " a", "probability": 0.849609375}, {"start": 54.64, "end": 55.0, "word": " prism", "probability": 0.7073974609375}], "temperature": 1.0}, {"id": 4, "seek": 8477, "start": 56.43, "end": 84.77, "text": "horizontal prism, as we can see, base out prism and we also imagine in the same way it is not only around the nose, but also around the head, that is, the left eye comes inside and comes up, that is, it needs a base out because it comes inside and comes up, it needs a base down, of course, the apex always points to the prism it is not possible for me to use two prisms together, so I want to .. I mean", "tokens": [2335, 590, 896, 304, 582, 1434, 11, 382, 321, 393, 536, 11, 3096, 484, 582, 1434, 293, 321, 611, 566, 10260, 294, 264, 912, 636, 309, 307, 406, 787, 926, 264, 6690, 11, 457, 611, 926, 264, 1378, 11, 300, 307, 11, 264, 1411, 3313, 1487, 1854, 293, 1487, 493, 11, 300, 307, 11, 309, 2203, 257, 3096, 484, 570, 309, 1487, 1854, 293, 1487, 493, 11, 309, 2203, 257, 3096, 760, 11, 295, 1164, 11, 264, 48115, 1009, 2793, 281, 264, 582, 1434, 309, 307, 406, 1944, 337, 385, 281, 764, 732, 582, 13539, 1214, 11, 370, 286, 528, 281, 4386, 286, 914], "avg_logprob": -0.4541666575840541, "compression_ratio": 1.8831775700934579, "no_speech_prob": 6.020069122314453e-06, "words": [{"start": 56.42999999999999, "end": 56.91, "word": "horizontal", "probability": 0.884033203125}, {"start": 56.91, "end": 57.27, "word": " prism,", "probability": 0.875244140625}, {"start": 57.43, "end": 57.53, "word": " as", "probability": 0.822265625}, {"start": 57.53, "end": 57.75, "word": " we", "probability": 0.8505859375}, {"start": 57.75, "end": 57.91, "word": " can", "probability": 0.379150390625}, {"start": 57.91, "end": 58.21, "word": " see,", "probability": 0.92822265625}, {"start": 58.35, "end": 58.57, "word": " base", "probability": 0.44873046875}, {"start": 58.57, "end": 58.89, "word": " out", "probability": 0.6982421875}, {"start": 58.89, "end": 59.35, "word": " prism", "probability": 0.86328125}, {"start": 59.35, "end": 60.13, "word": " and", "probability": 0.60546875}, {"start": 60.13, "end": 60.39, "word": " we", "probability": 0.481201171875}, {"start": 60.39, "end": 60.59, "word": " also", "probability": 0.2413330078125}, {"start": 60.59, "end": 60.59, "word": " imagine", "probability": 0.36944580078125}, {"start": 60.59, "end": 61.19, "word": " in", "probability": 0.455078125}, {"start": 61.19, "end": 61.31, "word": " the", "probability": 0.53759765625}, {"start": 61.31, "end": 61.47, "word": " same", "probability": 0.853515625}, {"start": 61.47, "end": 61.73, "word": " way", "probability": 0.377685546875}, {"start": 61.73, "end": 62.13, "word": " it", "probability": 0.217041015625}, {"start": 62.13, "end": 62.13, "word": " is", "probability": 0.276611328125}, {"start": 62.13, "end": 62.31, "word": " not", "probability": 0.408203125}, {"start": 62.31, "end": 62.55, "word": " only", "probability": 0.407470703125}, {"start": 62.55, "end": 62.73, "word": " around", "probability": 0.77197265625}, {"start": 62.73, "end": 62.91, "word": " the", "probability": 0.75732421875}, {"start": 62.91, "end": 63.11, "word": " nose,", "probability": 0.137451171875}, {"start": 63.61, "end": 63.79, "word": " but", "probability": 0.4873046875}, {"start": 63.79, "end": 64.03, "word": " also", "probability": 0.64697265625}, {"start": 64.03, "end": 64.33, "word": " around", "probability": 0.9384765625}, {"start": 64.33, "end": 64.51, "word": " the", "probability": 0.86474609375}, {"start": 64.51, "end": 64.77, "word": " head,", "probability": 0.84716796875}, {"start": 64.91, "end": 65.03, "word": " that", "probability": 0.25439453125}, {"start": 65.03, "end": 65.03, "word": " is,", "probability": 0.87109375}, {"start": 65.09, "end": 65.19, "word": " the", "probability": 0.892578125}, {"start": 65.19, "end": 65.61, "word": " left", "probability": 0.9345703125}, {"start": 65.61, "end": 65.79, "word": " eye", "probability": 0.92724609375}, {"start": 65.79, "end": 66.11, "word": " comes", "probability": 0.3486328125}, {"start": 66.11, "end": 66.59, "word": " inside", "probability": 0.33056640625}, {"start": 66.59, "end": 67.43, "word": " and", "probability": 0.87744140625}, {"start": 67.43, "end": 67.67, "word": " comes", "probability": 0.39404296875}, {"start": 67.67, "end": 68.11, "word": " up,", "probability": 0.72509765625}, {"start": 68.25, "end": 68.39, "word": " that", "probability": 0.53662109375}, {"start": 68.39, "end": 68.43, "word": " is,", "probability": 0.77490234375}, {"start": 68.79, "end": 69.57, "word": " it", "probability": 0.6640625}, {"start": 69.57, "end": 69.79, "word": " needs", "probability": 0.7783203125}, {"start": 69.79, "end": 69.95, "word": " a", "probability": 0.669921875}, {"start": 69.95, "end": 70.27, "word": " base", "probability": 0.85888671875}, {"start": 70.27, "end": 70.83, "word": " out", "probability": 0.8388671875}, {"start": 70.83, "end": 71.11, "word": " because", "probability": 0.6123046875}, {"start": 71.11, "end": 71.29, "word": " it", "probability": 0.9443359375}, {"start": 71.29, "end": 71.45, "word": " comes", "probability": 0.58642578125}, {"start": 71.45, "end": 71.89, "word": " inside", "probability": 0.66796875}, {"start": 71.89, "end": 72.55, "word": " and", "probability": 0.67529296875}, {"start": 72.55, "end": 72.71, "word": " comes", "probability": 0.44775390625}, {"start": 72.71, "end": 73.05, "word": " up,", "probability": 0.94189453125}, {"start": 73.15, "end": 73.23, "word": " it", "probability": 0.69677734375}, {"start": 73.23, "end": 73.37, "word": " needs", "probability": 0.89013671875}, {"start": 73.37, "end": 73.53, "word": " a", "probability": 0.9765625}, {"start": 73.53, "end": 73.75, "word": " base", "probability": 0.8984375}, {"start": 73.75, "end": 74.13, "word": " down,", "probability": 0.86669921875}, {"start": 74.27, "end": 74.37, "word": " of", "probability": 0.7470703125}, {"start": 74.37, "end": 74.43, "word": " course,", "probability": 0.9619140625}, {"start": 74.61, "end": 74.63, "word": " the", "probability": 0.58154296875}, {"start": 74.63, "end": 74.93, "word": " apex", "probability": 0.61083984375}, {"start": 74.93, "end": 75.33, "word": " always", "probability": 0.72705078125}, {"start": 75.33, "end": 75.63, "word": " points", "probability": 0.435302734375}, {"start": 75.63, "end": 75.79, "word": " to", "probability": 0.74951171875}, {"start": 75.79, "end": 75.91, "word": " the", "probability": 0.89990234375}, {"start": 75.91, "end": 76.21, "word": " prism", "probability": 0.9482421875}, {"start": 76.21, "end": 76.87, "word": " it", "probability": 0.53857421875}, {"start": 76.87, "end": 76.91, "word": " is", "probability": 0.7158203125}, {"start": 76.91, "end": 76.95, "word": " not", "probability": 0.81005859375}, {"start": 76.95, "end": 77.35, "word": " possible", "probability": 0.482177734375}, {"start": 77.35, "end": 77.51, "word": " for", "probability": 0.50341796875}, {"start": 77.51, "end": 77.71, "word": " me", "probability": 0.96044921875}, {"start": 77.71, "end": 78.69, "word": " to", "probability": 0.9658203125}, {"start": 78.69, "end": 79.15, "word": " use", "probability": 0.8896484375}, {"start": 79.15, "end": 79.91, "word": " two", "probability": 0.90234375}, {"start": 79.91, "end": 80.37, "word": " prisms", "probability": 0.916015625}, {"start": 80.37, "end": 81.25, "word": " together,", "probability": 0.845703125}, {"start": 81.87, "end": 81.95, "word": " so", "probability": 0.70654296875}, {"start": 81.95, "end": 82.49, "word": " I", "probability": 0.58740234375}, {"start": 82.49, "end": 83.01, "word": " want", "probability": 0.384765625}, {"start": 83.01, "end": 83.39, "word": " to", "probability": 0.7646484375}, {"start": 83.39, "end": 83.73, "word": " ..", "probability": 0.40869140625}, {"start": 83.73, "end": 84.57, "word": " I", "probability": 0.54736328125}, {"start": 84.57, "end": 84.77, "word": " mean", "probability": 0.9326171875}], "temperature": 1.0}, {"id": 5, "seek": 11409, "start": 85.35, "end": 114.09, "text": "I bring a complementary prism, instead of taking prism out, base and out, and another prism, base and down, I want to use one to be base out and down Out and down, instead of using a prism, instead of using a prism So, if we want to draw this case, we say as follows This is my hand", "tokens": [40, 1565, 257, 395, 43704, 822, 582, 1434, 11, 2602, 295, 1940, 582, 1434, 484, 11, 3096, 293, 484, 11, 293, 1071, 582, 1434, 11, 3096, 293, 760, 11, 286, 528, 281, 764, 472, 281, 312, 3096, 484, 293, 760, 5925, 293, 760, 11, 2602, 295, 1228, 257, 582, 1434, 11, 2602, 295, 1228, 257, 582, 1434, 407, 11, 498, 321, 528, 281, 2642, 341, 1389, 11, 321, 584, 382, 10002, 639, 307, 452, 1011], "avg_logprob": -0.4399670974204415, "compression_ratio": 1.8193548387096774, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 85.35, "end": 85.53, "word": "I", "probability": 0.79833984375}, {"start": 85.53, "end": 85.79, "word": " bring", "probability": 0.43408203125}, {"start": 85.79, "end": 86.39, "word": " a", "probability": 0.44775390625}, {"start": 86.39, "end": 86.87, "word": " complementary", "probability": 0.4947509765625}, {"start": 86.87, "end": 86.87, "word": " prism,", "probability": 0.7242431640625}, {"start": 87.09, "end": 87.25, "word": " instead", "probability": 0.469482421875}, {"start": 87.25, "end": 87.35, "word": " of", "probability": 0.9658203125}, {"start": 87.35, "end": 87.73, "word": " taking", "probability": 0.482177734375}, {"start": 87.73, "end": 88.19, "word": " prism", "probability": 0.58123779296875}, {"start": 88.19, "end": 88.67, "word": " out,", "probability": 0.837890625}, {"start": 89.01, "end": 89.25, "word": " base", "probability": 0.6484375}, {"start": 89.25, "end": 89.37, "word": " and", "probability": 0.8017578125}, {"start": 89.37, "end": 89.69, "word": " out,", "probability": 0.8681640625}, {"start": 89.83, "end": 90.17, "word": " and", "probability": 0.88037109375}, {"start": 90.17, "end": 90.23, "word": " another", "probability": 0.68603515625}, {"start": 90.23, "end": 90.57, "word": " prism,", "probability": 0.92822265625}, {"start": 90.97, "end": 91.21, "word": " base", "probability": 0.88525390625}, {"start": 91.21, "end": 91.35, "word": " and", "probability": 0.9375}, {"start": 91.35, "end": 91.67, "word": " down,", "probability": 0.86962890625}, {"start": 91.95, "end": 92.09, "word": " I", "probability": 0.951171875}, {"start": 92.09, "end": 92.21, "word": " want", "probability": 0.4765625}, {"start": 92.21, "end": 92.35, "word": " to", "probability": 0.95751953125}, {"start": 92.35, "end": 92.69, "word": " use", "probability": 0.86962890625}, {"start": 92.69, "end": 93.35, "word": " one", "probability": 0.87109375}, {"start": 93.35, "end": 93.55, "word": " to", "probability": 0.26123046875}, {"start": 93.55, "end": 93.81, "word": " be", "probability": 0.763671875}, {"start": 93.81, "end": 94.23, "word": " base", "probability": 0.81298828125}, {"start": 94.23, "end": 94.77, "word": " out", "probability": 0.5302734375}, {"start": 94.77, "end": 95.13, "word": " and", "probability": 0.95849609375}, {"start": 95.13, "end": 95.67, "word": " down", "probability": 0.86767578125}, {"start": 95.67, "end": 96.35, "word": " Out", "probability": 0.51953125}, {"start": 96.35, "end": 96.61, "word": " and", "probability": 0.9580078125}, {"start": 96.61, "end": 96.95, "word": " down,", "probability": 0.84326171875}, {"start": 97.11, "end": 97.25, "word": " instead", "probability": 0.76220703125}, {"start": 97.25, "end": 97.37, "word": " of", "probability": 0.96630859375}, {"start": 97.37, "end": 98.15, "word": " using", "probability": 0.92138671875}, {"start": 98.15, "end": 98.71, "word": " a", "probability": 0.29443359375}, {"start": 98.71, "end": 99.03, "word": " prism,", "probability": 0.869384765625}, {"start": 99.19, "end": 99.43, "word": " instead", "probability": 0.82958984375}, {"start": 99.43, "end": 99.53, "word": " of", "probability": 0.970703125}, {"start": 99.53, "end": 99.99, "word": " using", "probability": 0.94384765625}, {"start": 99.99, "end": 100.17, "word": " a", "probability": 0.9287109375}, {"start": 100.17, "end": 100.43, "word": " prism", "probability": 0.93115234375}, {"start": 100.43, "end": 100.97, "word": " So,", "probability": 0.337890625}, {"start": 101.11, "end": 101.43, "word": " if", "probability": 0.9248046875}, {"start": 101.43, "end": 101.57, "word": " we", "probability": 0.93798828125}, {"start": 101.57, "end": 101.85, "word": " want", "probability": 0.32763671875}, {"start": 101.85, "end": 102.91, "word": " to", "probability": 0.9697265625}, {"start": 102.91, "end": 103.09, "word": " draw", "probability": 0.79833984375}, {"start": 103.09, "end": 103.83, "word": " this", "probability": 0.90234375}, {"start": 103.83, "end": 104.37, "word": " case,", "probability": 0.485595703125}, {"start": 104.71, "end": 105.13, "word": " we", "probability": 0.84912109375}, {"start": 105.13, "end": 105.31, "word": " say", "probability": 0.83837890625}, {"start": 105.31, "end": 105.57, "word": " as", "probability": 0.77099609375}, {"start": 105.57, "end": 106.03, "word": " follows", "probability": 0.79638671875}, {"start": 106.03, "end": 113.59, "word": " This", "probability": 0.294677734375}, {"start": 113.59, "end": 113.67, "word": " is", "probability": 0.83349609375}, {"start": 113.67, "end": 114.09, "word": " my", "probability": 0.43359375}, {"start": 114.09, "end": 114.09, "word": " hand", "probability": 0.126220703125}], "temperature": 1.0}, {"id": 6, "seek": 12589, "start": 125.13, "end": 125.89, "text": " And this is the second eye.", "tokens": [400, 341, 307, 264, 1150, 3313, 13], "avg_logprob": -0.4328613393008709, "compression_ratio": 0.8484848484848485, "no_speech_prob": 0.0, "words": [{"start": 125.13, "end": 125.45, "word": " And", "probability": 0.333251953125}, {"start": 125.45, "end": 125.61, "word": " this", "probability": 0.5126953125}, {"start": 125.61, "end": 125.67, "word": " is", "probability": 0.9306640625}, {"start": 125.67, "end": 125.71, "word": " the", "probability": 0.85107421875}, {"start": 125.71, "end": 125.71, "word": " second", "probability": 0.60009765625}, {"start": 125.71, "end": 125.89, "word": " eye.", "probability": 0.724609375}], "temperature": 1.0}, {"id": 7, "seek": 19169, "start": 163.67, "end": 191.69, "text": "So if we say this is the right eye, fixating eye, which means it looks straight forward, it's a fixation, this means it has a neutral circle inside and outside at the same time And we decided that with prisms, the situation can work, meaning that the circumference is not very large, so I need to use two prisms for occupational therapy, in order to cancel the circumference problem The first prism needs to have its base out, for example", "tokens": [6455, 498, 321, 584, 341, 307, 264, 558, 3313, 11, 3191, 990, 3313, 11, 597, 1355, 309, 1542, 2997, 2128, 11, 309, 311, 257, 3191, 399, 11, 341, 1355, 309, 575, 257, 10598, 6329, 1854, 293, 2380, 412, 264, 912, 565, 400, 321, 3047, 300, 365, 582, 13539, 11, 264, 2590, 393, 589, 11, 3620, 300, 264, 7125, 5158, 307, 406, 588, 2416, 11, 370, 286, 643, 281, 764, 732, 582, 13539, 337, 43544, 9492, 11, 294, 1668, 281, 10373, 264, 7125, 5158, 1154, 440, 700, 582, 1434, 2203, 281, 362, 1080, 3096, 484, 11, 337, 1365], "avg_logprob": -0.6074617395595628, "compression_ratio": 1.7176470588235293, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 163.67, "end": 163.99, "word": "So", "probability": 0.344970703125}, {"start": 163.99, "end": 164.15, "word": " if", "probability": 0.80322265625}, {"start": 164.15, "end": 164.43, "word": " we", "probability": 0.8505859375}, {"start": 164.43, "end": 164.67, "word": " say", "probability": 0.77099609375}, {"start": 164.67, "end": 164.89, "word": " this", "probability": 0.5908203125}, {"start": 164.89, "end": 164.97, "word": " is", "probability": 0.8740234375}, {"start": 164.97, "end": 165.05, "word": " the", "probability": 0.5244140625}, {"start": 165.05, "end": 165.29, "word": " right", "probability": 0.8935546875}, {"start": 165.29, "end": 165.69, "word": " eye,", "probability": 0.94384765625}, {"start": 166.21, "end": 166.87, "word": " fixating", "probability": 0.764892578125}, {"start": 166.87, "end": 167.33, "word": " eye,", "probability": 0.91357421875}, {"start": 168.07, "end": 168.33, "word": " which", "probability": 0.2259521484375}, {"start": 168.33, "end": 168.33, "word": " means", "probability": 0.78759765625}, {"start": 168.33, "end": 168.41, "word": " it", "probability": 0.50048828125}, {"start": 168.41, "end": 168.75, "word": " looks", "probability": 0.2177734375}, {"start": 168.75, "end": 169.17, "word": " straight", "probability": 0.58642578125}, {"start": 169.17, "end": 169.23, "word": " forward,", "probability": 0.10382080078125}, {"start": 169.29, "end": 169.35, "word": " it's", "probability": 0.2767333984375}, {"start": 169.35, "end": 169.55, "word": " a", "probability": 0.377197265625}, {"start": 169.55, "end": 170.07, "word": " fixation,", "probability": 0.79296875}, {"start": 170.07, "end": 170.37, "word": " this", "probability": 0.626953125}, {"start": 170.37, "end": 170.57, "word": " means", "probability": 0.3037109375}, {"start": 170.57, "end": 170.79, "word": " it", "probability": 0.437255859375}, {"start": 170.79, "end": 170.85, "word": " has", "probability": 0.5849609375}, {"start": 170.85, "end": 171.01, "word": " a", "probability": 0.71435546875}, {"start": 171.01, "end": 171.57, "word": " neutral", "probability": 0.0479736328125}, {"start": 171.57, "end": 171.57, "word": " circle", "probability": 0.155517578125}, {"start": 171.57, "end": 172.05, "word": " inside", "probability": 0.366943359375}, {"start": 172.05, "end": 172.27, "word": " and", "probability": 0.6748046875}, {"start": 172.27, "end": 172.37, "word": " outside", "probability": 0.312744140625}, {"start": 172.37, "end": 172.65, "word": " at", "probability": 0.1533203125}, {"start": 172.65, "end": 172.77, "word": " the", "probability": 0.91064453125}, {"start": 172.77, "end": 172.87, "word": " same", "probability": 0.921875}, {"start": 172.87, "end": 173.29, "word": " time", "probability": 0.89599609375}, {"start": 173.29, "end": 174.51, "word": " And", "probability": 0.2239990234375}, {"start": 174.51, "end": 175.09, "word": " we", "probability": 0.8466796875}, {"start": 175.09, "end": 175.37, "word": " decided", "probability": 0.7568359375}, {"start": 175.37, "end": 175.63, "word": " that", "probability": 0.78955078125}, {"start": 175.63, "end": 176.03, "word": " with", "probability": 0.58251953125}, {"start": 176.03, "end": 176.49, "word": " prisms,", "probability": 0.702392578125}, {"start": 176.75, "end": 177.15, "word": " the", "probability": 0.66845703125}, {"start": 177.15, "end": 177.39, "word": " situation", "probability": 0.61572265625}, {"start": 177.39, "end": 177.53, "word": " can", "probability": 0.499267578125}, {"start": 177.53, "end": 177.77, "word": " work,", "probability": 0.40673828125}, {"start": 177.87, "end": 178.33, "word": " meaning", "probability": 0.41357421875}, {"start": 178.33, "end": 178.81, "word": " that", "probability": 0.81689453125}, {"start": 178.81, "end": 179.15, "word": " the", "probability": 0.837890625}, {"start": 179.15, "end": 179.79, "word": " circumference", "probability": 0.6181640625}, {"start": 179.79, "end": 179.95, "word": " is", "probability": 0.6318359375}, {"start": 179.95, "end": 180.01, "word": " not", "probability": 0.9033203125}, {"start": 180.01, "end": 180.47, "word": " very", "probability": 0.3447265625}, {"start": 180.47, "end": 180.83, "word": " large,", "probability": 0.53662109375}, {"start": 180.95, "end": 181.07, "word": " so", "probability": 0.65771484375}, {"start": 181.07, "end": 181.47, "word": " I", "probability": 0.86376953125}, {"start": 181.47, "end": 181.63, "word": " need", "probability": 0.34228515625}, {"start": 181.63, "end": 181.75, "word": " to", "probability": 0.916015625}, {"start": 181.75, "end": 182.07, "word": " use", "probability": 0.87548828125}, {"start": 182.07, "end": 182.27, "word": " two", "probability": 0.83203125}, {"start": 182.27, "end": 182.65, "word": " prisms", "probability": 0.937744140625}, {"start": 182.65, "end": 183.91, "word": " for", "probability": 0.5712890625}, {"start": 183.91, "end": 184.67, "word": " occupational", "probability": 0.319580078125}, {"start": 184.67, "end": 184.89, "word": " therapy,", "probability": 0.74169921875}, {"start": 185.15, "end": 185.25, "word": " in", "probability": 0.25146484375}, {"start": 185.25, "end": 185.69, "word": " order", "probability": 0.92041015625}, {"start": 185.69, "end": 186.15, "word": " to", "probability": 0.96923828125}, {"start": 186.15, "end": 186.43, "word": " cancel", "probability": 0.54052734375}, {"start": 186.43, "end": 187.01, "word": " the", "probability": 0.80029296875}, {"start": 187.01, "end": 187.23, "word": " circumference", "probability": 0.896484375}, {"start": 187.23, "end": 187.25, "word": " problem", "probability": 0.269775390625}, {"start": 187.25, "end": 187.39, "word": " The", "probability": 0.5087890625}, {"start": 187.39, "end": 187.59, "word": " first", "probability": 0.89501953125}, {"start": 187.59, "end": 187.95, "word": " prism", "probability": 0.93798828125}, {"start": 187.95, "end": 188.21, "word": " needs", "probability": 0.25341796875}, {"start": 188.21, "end": 188.27, "word": " to", "probability": 0.94970703125}, {"start": 188.27, "end": 189.63, "word": " have", "probability": 0.6552734375}, {"start": 189.63, "end": 190.05, "word": " its", "probability": 0.226318359375}, {"start": 190.05, "end": 190.43, "word": " base", "probability": 0.88134765625}, {"start": 190.43, "end": 191.25, "word": " out,", "probability": 0.59033203125}, {"start": 191.41, "end": 191.55, "word": " for", "probability": 0.93896484375}, {"start": 191.55, "end": 191.69, "word": " example", "probability": 0.91259765625}], "temperature": 1.0}, {"id": 8, "seek": 22663, "start": 202.45, "end": 226.63, "text": "the base is out and the second prism the base should be down out because the apex is pointing to the inside and the second prism the base should be down", "tokens": [3322, 3096, 307, 484, 293, 264, 1150, 582, 1434, 264, 3096, 820, 312, 760, 484, 570, 264, 48115, 307, 12166, 281, 264, 1854, 293, 264, 1150, 582, 1434, 264, 3096, 820, 312, 760], "avg_logprob": -0.626838216010262, "compression_ratio": 1.7674418604651163, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 202.45, "end": 202.79, "word": "the", "probability": 0.128173828125}, {"start": 202.79, "end": 203.07, "word": " base", "probability": 0.50341796875}, {"start": 203.07, "end": 203.19, "word": " is", "probability": 0.400146484375}, {"start": 203.19, "end": 203.59, "word": " out", "probability": 0.41943359375}, {"start": 203.59, "end": 207.89, "word": " and", "probability": 0.64794921875}, {"start": 207.89, "end": 208.01, "word": " the", "probability": 0.73828125}, {"start": 208.01, "end": 208.77, "word": " second", "probability": 0.7783203125}, {"start": 208.77, "end": 208.91, "word": " prism", "probability": 0.909423828125}, {"start": 208.91, "end": 215.89, "word": " the", "probability": 0.11016845703125}, {"start": 215.89, "end": 216.23, "word": " base", "probability": 0.84033203125}, {"start": 216.23, "end": 216.47, "word": " should", "probability": 0.288330078125}, {"start": 216.47, "end": 216.55, "word": " be", "probability": 0.912109375}, {"start": 216.55, "end": 216.79, "word": " down", "probability": 0.787109375}, {"start": 216.79, "end": 217.37, "word": " out", "probability": 0.185791015625}, {"start": 217.37, "end": 217.69, "word": " because", "probability": 0.75732421875}, {"start": 217.69, "end": 217.89, "word": " the", "probability": 0.456787109375}, {"start": 217.89, "end": 218.15, "word": " apex", "probability": 0.6904296875}, {"start": 218.15, "end": 218.35, "word": " is", "probability": 0.23974609375}, {"start": 218.35, "end": 218.65, "word": " pointing", "probability": 0.357421875}, {"start": 218.65, "end": 218.97, "word": " to", "probability": 0.26025390625}, {"start": 218.97, "end": 219.03, "word": " the", "probability": 0.50927734375}, {"start": 219.03, "end": 219.67, "word": " inside", "probability": 0.2724609375}, {"start": 219.67, "end": 221.93, "word": " and", "probability": 0.407470703125}, {"start": 221.93, "end": 222.53, "word": " the", "probability": 0.8408203125}, {"start": 222.53, "end": 223.35, "word": " second", "probability": 0.87353515625}, {"start": 223.35, "end": 223.39, "word": " prism", "probability": 0.9501953125}, {"start": 223.39, "end": 225.33, "word": " the", "probability": 0.334228515625}, {"start": 225.33, "end": 225.63, "word": " base", "probability": 0.89990234375}, {"start": 225.63, "end": 225.97, "word": " should", "probability": 0.900390625}, {"start": 225.97, "end": 226.07, "word": " be", "probability": 0.94482421875}, {"start": 226.07, "end": 226.63, "word": " down", "probability": 0.8564453125}], "temperature": 1.0}, {"id": 9, "seek": 24996, "start": 233.32, "end": 249.96, "text": "Also, it's like trying to go up So, instead of putting two prisms in front of the verbs I want to put an equivalent prism to them I want to put an equivalent prism to them as long as here the base is out and the base is down So, the equivalent prism should be base out and down", "tokens": [9171, 539, 11, 309, 311, 411, 1382, 281, 352, 493, 407, 11, 2602, 295, 3372, 732, 582, 13539, 294, 1868, 295, 264, 30051, 286, 528, 281, 829, 364, 10344, 582, 1434, 281, 552, 286, 528, 281, 829, 364, 10344, 582, 1434, 281, 552, 382, 938, 382, 510, 264, 3096, 307, 484, 293, 264, 3096, 307, 760, 407, 11, 264, 10344, 582, 1434, 820, 312, 3096, 484, 293, 760], "avg_logprob": -0.44519926672396454, "compression_ratio": 1.8590604026845639, "no_speech_prob": 0.0, "words": [{"start": 233.32000000000002, "end": 233.74, "word": "Also,", "probability": 0.6519775390625}, {"start": 233.8, "end": 233.94, "word": " it's", "probability": 0.3524169921875}, {"start": 233.94, "end": 233.94, "word": " like", "probability": 0.662109375}, {"start": 233.94, "end": 234.5, "word": " trying", "probability": 0.13525390625}, {"start": 234.5, "end": 234.74, "word": " to", "probability": 0.8173828125}, {"start": 234.74, "end": 235.1, "word": " go", "probability": 0.39697265625}, {"start": 235.1, "end": 235.26, "word": " up", "probability": 0.473876953125}, {"start": 235.26, "end": 236.36, "word": " So,", "probability": 0.1915283203125}, {"start": 237.12, "end": 237.26, "word": " instead", "probability": 0.70947265625}, {"start": 237.26, "end": 237.4, "word": " of", "probability": 0.95458984375}, {"start": 237.4, "end": 237.76, "word": " putting", "probability": 0.52001953125}, {"start": 237.76, "end": 237.92, "word": " two", "probability": 0.74462890625}, {"start": 237.92, "end": 238.2, "word": " prisms", "probability": 0.6546630859375}, {"start": 238.2, "end": 238.56, "word": " in", "probability": 0.82470703125}, {"start": 238.56, "end": 238.76, "word": " front", "probability": 0.939453125}, {"start": 238.76, "end": 238.88, "word": " of", "probability": 0.9560546875}, {"start": 238.88, "end": 238.94, "word": " the", "probability": 0.583984375}, {"start": 238.94, "end": 239.22, "word": " verbs", "probability": 0.313232421875}, {"start": 239.22, "end": 239.84, "word": " I", "probability": 0.55126953125}, {"start": 239.84, "end": 240.02, "word": " want", "probability": 0.54833984375}, {"start": 240.02, "end": 240.1, "word": " to", "probability": 0.96484375}, {"start": 240.1, "end": 240.38, "word": " put", "probability": 0.82958984375}, {"start": 240.38, "end": 240.88, "word": " an", "probability": 0.130859375}, {"start": 240.88, "end": 241.32, "word": " equivalent", "probability": 0.72705078125}, {"start": 241.32, "end": 241.38, "word": " prism", "probability": 0.9228515625}, {"start": 241.38, "end": 241.68, "word": " to", "probability": 0.48876953125}, {"start": 241.68, "end": 241.84, "word": " them", "probability": 0.84619140625}, {"start": 241.84, "end": 241.9, "word": " I", "probability": 0.29931640625}, {"start": 241.9, "end": 242.08, "word": " want", "probability": 0.82958984375}, {"start": 242.08, "end": 242.14, "word": " to", "probability": 0.9716796875}, {"start": 242.14, "end": 242.38, "word": " put", "probability": 0.9052734375}, {"start": 242.38, "end": 242.48, "word": " an", "probability": 0.8955078125}, {"start": 242.48, "end": 242.48, "word": " equivalent", "probability": 0.9619140625}, {"start": 242.48, "end": 242.74, "word": " prism", "probability": 0.9345703125}, {"start": 242.74, "end": 243.54, "word": " to", "probability": 0.91943359375}, {"start": 243.54, "end": 243.7, "word": " them", "probability": 0.91064453125}, {"start": 243.7, "end": 243.94, "word": " as", "probability": 0.252685546875}, {"start": 243.94, "end": 244.0, "word": " long", "probability": 0.81005859375}, {"start": 244.0, "end": 244.52, "word": " as", "probability": 0.96923828125}, {"start": 244.52, "end": 244.66, "word": " here", "probability": 0.58203125}, {"start": 244.66, "end": 244.82, "word": " the", "probability": 0.41357421875}, {"start": 244.82, "end": 245.04, "word": " base", "probability": 0.74560546875}, {"start": 245.04, "end": 245.16, "word": " is", "probability": 0.8076171875}, {"start": 245.16, "end": 245.36, "word": " out", "probability": 0.481689453125}, {"start": 245.36, "end": 245.5, "word": " and", "probability": 0.88671875}, {"start": 245.5, "end": 245.58, "word": " the", "probability": 0.49609375}, {"start": 245.58, "end": 245.76, "word": " base", "probability": 0.9345703125}, {"start": 245.76, "end": 245.9, "word": " is", "probability": 0.72509765625}, {"start": 245.9, "end": 246.24, "word": " down", "probability": 0.8427734375}, {"start": 246.24, "end": 246.74, "word": " So,", "probability": 0.6748046875}, {"start": 246.9, "end": 246.92, "word": " the", "probability": 0.876953125}, {"start": 246.92, "end": 246.94, "word": " equivalent", "probability": 0.888671875}, {"start": 246.94, "end": 247.8, "word": " prism", "probability": 0.94970703125}, {"start": 247.8, "end": 248.12, "word": " should", "probability": 0.478515625}, {"start": 248.12, "end": 248.56, "word": " be", "probability": 0.94580078125}, {"start": 248.56, "end": 248.94, "word": " base", "probability": 0.5908203125}, {"start": 248.94, "end": 249.34, "word": " out", "probability": 0.77197265625}, {"start": 249.34, "end": 249.64, "word": " and", "probability": 0.95068359375}, {"start": 249.64, "end": 249.96, "word": " down", "probability": 0.86328125}], "temperature": 1.0}, {"id": 10, "seek": 27911, "start": 251.55, "end": 279.11, "text": "But we want to see exactly on which axis or direction, which is perpendicular to the horizontal axis or the vertical axis, how much is it? And how much is its quantity? And how much is its quantity? Therefore, this case should be clear to us This is the equivalent prism to the two prisms", "tokens": [7835, 321, 528, 281, 536, 2293, 322, 597, 10298, 420, 3513, 11, 597, 307, 26734, 281, 264, 12750, 10298, 420, 264, 9429, 10298, 11, 577, 709, 307, 309, 30, 400, 577, 709, 307, 1080, 11275, 30, 400, 577, 709, 307, 1080, 11275, 30, 7504, 11, 341, 1389, 820, 312, 1850, 281, 505, 639, 307, 264, 10344, 582, 1434, 281, 264, 732, 582, 13539], "avg_logprob": -0.5517578199505806, "compression_ratio": 1.7245508982035929, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 251.55, "end": 251.75, "word": "But", "probability": 0.1937255859375}, {"start": 251.75, "end": 251.91, "word": " we", "probability": 0.63427734375}, {"start": 251.91, "end": 252.07, "word": " want", "probability": 0.348388671875}, {"start": 252.07, "end": 252.17, "word": " to", "probability": 0.962890625}, {"start": 252.17, "end": 252.39, "word": " see", "probability": 0.5576171875}, {"start": 252.39, "end": 253.03, "word": " exactly", "probability": 0.5234375}, {"start": 253.03, "end": 253.79, "word": " on", "probability": 0.34521484375}, {"start": 253.79, "end": 254.11, "word": " which", "probability": 0.69189453125}, {"start": 254.11, "end": 254.57, "word": " axis", "probability": 0.8525390625}, {"start": 254.57, "end": 254.97, "word": " or", "probability": 0.37109375}, {"start": 254.97, "end": 255.65, "word": " direction,", "probability": 0.495361328125}, {"start": 255.93, "end": 256.17, "word": " which", "probability": 0.3017578125}, {"start": 256.17, "end": 256.17, "word": " is", "probability": 0.318359375}, {"start": 256.17, "end": 256.49, "word": " perpendicular", "probability": 0.1761474609375}, {"start": 256.49, "end": 257.03, "word": " to", "probability": 0.84814453125}, {"start": 257.03, "end": 257.19, "word": " the", "probability": 0.76318359375}, {"start": 257.19, "end": 257.85, "word": " horizontal", "probability": 0.67626953125}, {"start": 257.85, "end": 257.85, "word": " axis", "probability": 0.8984375}, {"start": 257.85, "end": 258.21, "word": " or", "probability": 0.58544921875}, {"start": 258.21, "end": 258.33, "word": " the", "probability": 0.271484375}, {"start": 258.33, "end": 258.45, "word": " vertical", "probability": 0.69775390625}, {"start": 258.45, "end": 258.69, "word": " axis,", "probability": 0.77294921875}, {"start": 258.81, "end": 258.93, "word": " how", "probability": 0.41796875}, {"start": 258.93, "end": 259.71, "word": " much", "probability": 0.732421875}, {"start": 259.71, "end": 259.71, "word": " is", "probability": 0.217529296875}, {"start": 259.71, "end": 259.71, "word": " it?", "probability": 0.52587890625}, {"start": 259.97, "end": 260.53, "word": " And", "probability": 0.307861328125}, {"start": 260.53, "end": 260.93, "word": " how", "probability": 0.78955078125}, {"start": 260.93, "end": 260.99, "word": " much", "probability": 0.87548828125}, {"start": 260.99, "end": 260.99, "word": " is", "probability": 0.8232421875}, {"start": 260.99, "end": 261.51, "word": " its", "probability": 0.6513671875}, {"start": 261.51, "end": 261.51, "word": " quantity?", "probability": 0.57080078125}, {"start": 261.61, "end": 261.71, "word": " And", "probability": 0.51220703125}, {"start": 261.71, "end": 261.95, "word": " how", "probability": 0.82275390625}, {"start": 261.95, "end": 262.43, "word": " much", "probability": 0.900390625}, {"start": 262.43, "end": 262.69, "word": " is", "probability": 0.93701171875}, {"start": 262.69, "end": 262.71, "word": " its", "probability": 0.9091796875}, {"start": 262.71, "end": 262.71, "word": " quantity?", "probability": 0.98583984375}, {"start": 263.31, "end": 263.87, "word": " Therefore,", "probability": 0.2022705078125}, {"start": 263.99, "end": 264.21, "word": " this", "probability": 0.888671875}, {"start": 264.21, "end": 264.59, "word": " case", "probability": 0.3056640625}, {"start": 264.59, "end": 265.05, "word": " should", "probability": 0.3720703125}, {"start": 265.05, "end": 265.51, "word": " be", "probability": 0.9267578125}, {"start": 265.51, "end": 266.73, "word": " clear", "probability": 0.74462890625}, {"start": 266.73, "end": 266.99, "word": " to", "probability": 0.468017578125}, {"start": 266.99, "end": 267.73, "word": " us", "probability": 0.919921875}, {"start": 267.73, "end": 275.13, "word": " This", "probability": 0.611328125}, {"start": 275.13, "end": 275.23, "word": " is", "probability": 0.888671875}, {"start": 275.23, "end": 275.31, "word": " the", "probability": 0.7431640625}, {"start": 275.31, "end": 275.39, "word": " equivalent", "probability": 0.59375}, {"start": 275.39, "end": 275.75, "word": " prism", "probability": 0.843505859375}, {"start": 275.75, "end": 278.05, "word": " to", "probability": 0.40087890625}, {"start": 278.05, "end": 278.19, "word": " the", "probability": 0.6259765625}, {"start": 278.19, "end": 278.47, "word": " two", "probability": 0.9091796875}, {"start": 278.47, "end": 279.11, "word": " prisms", "probability": 0.917236328125}], "temperature": 1.0}, {"id": 11, "seek": 31873, "start": 290.77, "end": 318.73, "text": "this is the equivalent prism that I will put instead of two it will be its base out and down but it is very important to know how much it is worth for example, the prism base down is 6 prisms and the base out is 7 prisms how much it should be its value how much it should be its value now we are not going to draw these prisms but we are going to redraw them with arrows arrows point towards the base", "tokens": [11176, 307, 264, 10344, 582, 1434, 300, 286, 486, 829, 2602, 295, 732, 309, 486, 312, 1080, 3096, 484, 293, 760, 457, 309, 307, 588, 1021, 281, 458, 577, 709, 309, 307, 3163, 337, 1365, 11, 264, 582, 1434, 3096, 760, 307, 1386, 582, 13539, 293, 264, 3096, 484, 307, 1614, 582, 13539, 577, 709, 309, 820, 312, 1080, 2158, 577, 709, 309, 820, 312, 1080, 2158, 586, 321, 366, 406, 516, 281, 2642, 613, 582, 13539, 457, 321, 366, 516, 281, 2182, 5131, 552, 365, 19669, 19669, 935, 3030, 264, 3096], "avg_logprob": -0.5060484101695399, "compression_ratio": 1.951219512195122, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 290.77, "end": 291.07, "word": "this", "probability": 0.471923828125}, {"start": 291.07, "end": 291.09, "word": " is", "probability": 0.7314453125}, {"start": 291.09, "end": 291.23, "word": " the", "probability": 0.62255859375}, {"start": 291.23, "end": 291.27, "word": " equivalent", "probability": 0.334716796875}, {"start": 291.27, "end": 291.53, "word": " prism", "probability": 0.898193359375}, {"start": 291.53, "end": 292.23, "word": " that", "probability": 0.46044921875}, {"start": 292.23, "end": 292.45, "word": " I", "probability": 0.53955078125}, {"start": 292.45, "end": 292.71, "word": " will", "probability": 0.591796875}, {"start": 292.71, "end": 293.05, "word": " put", "probability": 0.20556640625}, {"start": 293.05, "end": 293.35, "word": " instead", "probability": 0.76220703125}, {"start": 293.35, "end": 293.43, "word": " of", "probability": 0.96728515625}, {"start": 293.43, "end": 293.79, "word": " two", "probability": 0.3359375}, {"start": 293.79, "end": 293.89, "word": " it", "probability": 0.41845703125}, {"start": 293.89, "end": 294.03, "word": " will", "probability": 0.5693359375}, {"start": 294.03, "end": 294.23, "word": " be", "probability": 0.427001953125}, {"start": 294.23, "end": 294.35, "word": " its", "probability": 0.3310546875}, {"start": 294.35, "end": 294.57, "word": " base", "probability": 0.7265625}, {"start": 294.57, "end": 295.15, "word": " out", "probability": 0.498291015625}, {"start": 295.15, "end": 295.65, "word": " and", "probability": 0.92626953125}, {"start": 295.65, "end": 296.05, "word": " down", "probability": 0.86962890625}, {"start": 296.05, "end": 296.75, "word": " but", "probability": 0.689453125}, {"start": 296.75, "end": 297.09, "word": " it", "probability": 0.445556640625}, {"start": 297.09, "end": 297.09, "word": " is", "probability": 0.751953125}, {"start": 297.09, "end": 297.21, "word": " very", "probability": 0.46142578125}, {"start": 297.21, "end": 297.21, "word": " important", "probability": 0.69921875}, {"start": 297.21, "end": 297.61, "word": " to", "probability": 0.69873046875}, {"start": 297.61, "end": 297.77, "word": " know", "probability": 0.84619140625}, {"start": 297.77, "end": 298.03, "word": " how", "probability": 0.5556640625}, {"start": 298.03, "end": 298.31, "word": " much", "probability": 0.78125}, {"start": 298.31, "end": 298.35, "word": " it", "probability": 0.51806640625}, {"start": 298.35, "end": 298.35, "word": " is", "probability": 0.5595703125}, {"start": 298.35, "end": 298.73, "word": " worth", "probability": 0.5400390625}, {"start": 298.73, "end": 299.47, "word": " for", "probability": 0.72705078125}, {"start": 299.47, "end": 299.77, "word": " example,", "probability": 0.935546875}, {"start": 299.89, "end": 299.95, "word": " the", "probability": 0.634765625}, {"start": 299.95, "end": 300.27, "word": " prism", "probability": 0.65966796875}, {"start": 300.27, "end": 300.67, "word": " base", "probability": 0.447265625}, {"start": 300.67, "end": 300.99, "word": " down", "probability": 0.77392578125}, {"start": 300.99, "end": 301.11, "word": " is", "probability": 0.5126953125}, {"start": 301.11, "end": 301.35, "word": " 6", "probability": 0.459716796875}, {"start": 301.35, "end": 301.79, "word": " prisms", "probability": 0.75}, {"start": 301.79, "end": 302.03, "word": " and", "probability": 0.423828125}, {"start": 302.03, "end": 302.11, "word": " the", "probability": 0.33447265625}, {"start": 302.11, "end": 302.35, "word": " base", "probability": 0.791015625}, {"start": 302.35, "end": 302.79, "word": " out", "probability": 0.82421875}, {"start": 302.79, "end": 302.95, "word": " is", "probability": 0.859375}, {"start": 302.95, "end": 303.23, "word": " 7", "probability": 0.89892578125}, {"start": 303.23, "end": 303.63, "word": " prisms", "probability": 0.94970703125}, {"start": 303.63, "end": 303.87, "word": " how", "probability": 0.5400390625}, {"start": 303.87, "end": 304.13, "word": " much", "probability": 0.87353515625}, {"start": 304.13, "end": 304.13, "word": " it", "probability": 0.31689453125}, {"start": 304.13, "end": 304.33, "word": " should", "probability": 0.35986328125}, {"start": 304.33, "end": 304.85, "word": " be", "probability": 0.8505859375}, {"start": 304.85, "end": 305.19, "word": " its", "probability": 0.1768798828125}, {"start": 305.19, "end": 305.43, "word": " value", "probability": 0.765625}, {"start": 305.43, "end": 305.63, "word": " how", "probability": 0.2332763671875}, {"start": 305.63, "end": 305.89, "word": " much", "probability": 0.89501953125}, {"start": 305.89, "end": 305.95, "word": " it", "probability": 0.703125}, {"start": 305.95, "end": 306.19, "word": " should", "probability": 0.9375}, {"start": 306.19, "end": 306.71, "word": " be", "probability": 0.93115234375}, {"start": 306.71, "end": 306.81, "word": " its", "probability": 0.837890625}, {"start": 306.81, "end": 307.11, "word": " value", "probability": 0.974609375}, {"start": 307.11, "end": 307.81, "word": " now", "probability": 0.6416015625}, {"start": 307.81, "end": 308.21, "word": " we", "probability": 0.5166015625}, {"start": 308.21, "end": 308.21, "word": " are", "probability": 0.261474609375}, {"start": 308.21, "end": 309.23, "word": " not", "probability": 0.8623046875}, {"start": 309.23, "end": 309.49, "word": " going", "probability": 0.89794921875}, {"start": 309.49, "end": 309.57, "word": " to", "probability": 0.9658203125}, {"start": 309.57, "end": 309.79, "word": " draw", "probability": 0.8876953125}, {"start": 309.79, "end": 309.85, "word": " these", "probability": 0.8193359375}, {"start": 309.85, "end": 309.85, "word": " prisms", "probability": 0.94482421875}, {"start": 309.85, "end": 310.67, "word": " but", "probability": 0.4765625}, {"start": 310.67, "end": 310.99, "word": " we", "probability": 0.7490234375}, {"start": 310.99, "end": 311.01, "word": " are", "probability": 0.317626953125}, {"start": 311.01, "end": 311.07, "word": " going", "probability": 0.93017578125}, {"start": 311.07, "end": 311.09, "word": " to", "probability": 0.96142578125}, {"start": 311.09, "end": 311.53, "word": " redraw", "probability": 0.527252197265625}, {"start": 311.53, "end": 312.25, "word": " them", "probability": 0.75732421875}, {"start": 312.25, "end": 313.63, "word": " with", "probability": 0.62646484375}, {"start": 313.63, "end": 313.95, "word": " arrows", "probability": 0.1298828125}, {"start": 313.95, "end": 315.43, "word": " arrows", "probability": 0.59521484375}, {"start": 315.43, "end": 315.99, "word": " point", "probability": 0.62158203125}, {"start": 315.99, "end": 316.41, "word": " towards", "probability": 0.357177734375}, {"start": 316.41, "end": 318.33, "word": " the", "probability": 0.8125}, {"start": 318.33, "end": 318.73, "word": " base", "probability": 0.8935546875}], "temperature": 1.0}, {"id": 12, "seek": 33337, "start": 320.27, "end": 333.37, "text": "It points towards the base Here we just drew the prisms to clarify the idea We want the base out The base out", "tokens": [3522, 2793, 281, 4151, 7800, 82, 264, 3096, 1692, 321, 445, 12804, 264, 582, 13539, 281, 17594, 264, 1558, 492, 528, 264, 3096, 484, 440, 3096, 484], "avg_logprob": -0.6796874936137881, "compression_ratio": 1.2823529411764707, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 320.27, "end": 320.47, "word": "It", "probability": 0.06683349609375}, {"start": 320.47, "end": 320.73, "word": " points", "probability": 0.310546875}, {"start": 320.73, "end": 321.55, "word": " towards", "probability": 0.5743408203125}, {"start": 321.55, "end": 321.73, "word": " the", "probability": 0.69580078125}, {"start": 321.73, "end": 322.11, "word": " base", "probability": 0.6171875}, {"start": 322.11, "end": 323.41, "word": " Here", "probability": 0.1365966796875}, {"start": 323.41, "end": 323.73, "word": " we", "probability": 0.427734375}, {"start": 323.73, "end": 323.73, "word": " just", "probability": 0.2139892578125}, {"start": 323.73, "end": 324.11, "word": " drew", "probability": 0.541015625}, {"start": 324.11, "end": 324.31, "word": " the", "probability": 0.49462890625}, {"start": 324.31, "end": 324.61, "word": " prisms", "probability": 0.48046875}, {"start": 324.61, "end": 325.15, "word": " to", "probability": 0.86376953125}, {"start": 325.15, "end": 325.99, "word": " clarify", "probability": 0.34765625}, {"start": 325.99, "end": 326.19, "word": " the", "probability": 0.80322265625}, {"start": 326.19, "end": 326.43, "word": " idea", "probability": 0.7021484375}, {"start": 326.43, "end": 326.75, "word": " We", "probability": 0.6064453125}, {"start": 326.75, "end": 327.11, "word": " want", "probability": 0.701171875}, {"start": 327.11, "end": 327.29, "word": " the", "probability": 0.83154296875}, {"start": 327.29, "end": 327.55, "word": " base", "probability": 0.8408203125}, {"start": 327.55, "end": 328.01, "word": " out", "probability": 0.6650390625}, {"start": 328.01, "end": 332.59, "word": " The", "probability": 0.638671875}, {"start": 332.59, "end": 332.89, "word": " base", "probability": 0.88818359375}, {"start": 332.89, "end": 333.37, "word": " out", "probability": 0.8544921875}], "temperature": 1.0}, {"id": 13, "seek": 36967, "start": 346.95, "end": 369.67, "text": "and also the base down this is the base out in this direction this arrow points to the base of the prism we will compensate for the prism with the arrow and this is its base down so therefore", "tokens": [474, 611, 264, 3096, 760, 341, 307, 264, 3096, 484, 294, 341, 3513, 341, 11610, 2793, 281, 264, 3096, 295, 264, 582, 1434, 321, 486, 29458, 337, 264, 582, 1434, 365, 264, 11610, 293, 341, 307, 1080, 3096, 760, 370, 4412], "avg_logprob": -0.5989583148842766, "compression_ratio": 1.7850467289719627, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 346.95, "end": 347.19, "word": "and", "probability": 0.2305908203125}, {"start": 347.19, "end": 347.57, "word": " also", "probability": 0.439697265625}, {"start": 347.57, "end": 347.79, "word": " the", "probability": 0.40283203125}, {"start": 347.79, "end": 348.15, "word": " base", "probability": 0.49560546875}, {"start": 348.15, "end": 348.69, "word": " down", "probability": 0.498291015625}, {"start": 348.69, "end": 349.19, "word": " this", "probability": 0.1767578125}, {"start": 349.19, "end": 349.19, "word": " is", "probability": 0.67626953125}, {"start": 349.19, "end": 349.35, "word": " the", "probability": 0.41064453125}, {"start": 349.35, "end": 349.51, "word": " base", "probability": 0.62744140625}, {"start": 349.51, "end": 350.01, "word": " out", "probability": 0.72998046875}, {"start": 350.01, "end": 350.53, "word": " in", "probability": 0.12255859375}, {"start": 350.53, "end": 351.23, "word": " this", "probability": 0.8251953125}, {"start": 351.23, "end": 351.39, "word": " direction", "probability": 0.7685546875}, {"start": 351.39, "end": 353.69, "word": " this", "probability": 0.424560546875}, {"start": 353.69, "end": 354.09, "word": " arrow", "probability": 0.5546875}, {"start": 354.09, "end": 354.33, "word": " points", "probability": 0.185546875}, {"start": 354.33, "end": 354.93, "word": " to", "probability": 0.5341796875}, {"start": 354.93, "end": 355.41, "word": " the", "probability": 0.734375}, {"start": 355.41, "end": 355.69, "word": " base", "probability": 0.56005859375}, {"start": 355.69, "end": 355.91, "word": " of", "probability": 0.8291015625}, {"start": 355.91, "end": 356.09, "word": " the", "probability": 0.81396484375}, {"start": 356.09, "end": 356.35, "word": " prism", "probability": 0.939697265625}, {"start": 356.35, "end": 356.63, "word": " we", "probability": 0.6015625}, {"start": 356.63, "end": 356.69, "word": " will", "probability": 0.4248046875}, {"start": 356.69, "end": 357.01, "word": " compensate", "probability": 0.49169921875}, {"start": 357.01, "end": 357.31, "word": " for", "probability": 0.415283203125}, {"start": 357.31, "end": 357.55, "word": " the", "probability": 0.86083984375}, {"start": 357.55, "end": 357.97, "word": " prism", "probability": 0.938720703125}, {"start": 357.97, "end": 359.01, "word": " with", "probability": 0.50048828125}, {"start": 359.01, "end": 359.31, "word": " the", "probability": 0.57275390625}, {"start": 359.31, "end": 359.43, "word": " arrow", "probability": 0.78271484375}, {"start": 359.43, "end": 360.89, "word": " and", "probability": 0.76708984375}, {"start": 360.89, "end": 361.19, "word": " this", "probability": 0.87109375}, {"start": 361.19, "end": 361.53, "word": " is", "probability": 0.810546875}, {"start": 361.53, "end": 361.63, "word": " its", "probability": 0.33251953125}, {"start": 361.63, "end": 361.63, "word": " base", "probability": 0.77197265625}, {"start": 361.63, "end": 362.39, "word": " down", "probability": 0.72802734375}, {"start": 362.39, "end": 369.19, "word": " so", "probability": 0.39697265625}, {"start": 369.19, "end": 369.67, "word": " therefore", "probability": 0.43115234375}], "temperature": 1.0}, {"id": 14, "seek": 39405, "start": 372.11, "end": 394.05, "text": "I need a prism pointing towards its base, out, to treat esotropia functionally, and the base here should be down, so I make use of them, I make use of them, a prism whose base is out and down, out and down, in the way we see it, in the way we see it", "tokens": [40, 643, 257, 582, 1434, 12166, 281, 4151, 7800, 82, 1080, 3096, 11, 484, 11, 281, 2387, 785, 310, 1513, 654, 2445, 379, 11, 293, 264, 3096, 510, 820, 312, 760, 11, 370, 286, 652, 764, 295, 552, 11, 286, 652, 764, 295, 552, 11, 257, 582, 1434, 6104, 3096, 307, 484, 293, 760, 11, 484, 293, 760, 11, 294, 264, 636, 321, 536, 309, 11, 294, 264, 636, 321, 536, 309], "avg_logprob": -0.4777397260273973, "compression_ratio": 1.7785714285714285, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 372.11, "end": 372.41, "word": "I", "probability": 0.67919921875}, {"start": 372.41, "end": 372.67, "word": " need", "probability": 0.62060546875}, {"start": 372.67, "end": 372.93, "word": " a", "probability": 0.75341796875}, {"start": 372.93, "end": 373.23, "word": " prism", "probability": 0.89794921875}, {"start": 373.23, "end": 374.35, "word": " pointing", "probability": 0.31103515625}, {"start": 374.35, "end": 374.79, "word": " towards", "probability": 0.56494140625}, {"start": 374.79, "end": 374.87, "word": " its", "probability": 0.3798828125}, {"start": 374.87, "end": 375.07, "word": " base,", "probability": 0.66064453125}, {"start": 375.43, "end": 375.79, "word": " out,", "probability": 0.484130859375}, {"start": 375.89, "end": 376.07, "word": " to", "probability": 0.63330078125}, {"start": 376.07, "end": 376.97, "word": " treat", "probability": 0.4501953125}, {"start": 376.97, "end": 377.75, "word": " esotropia", "probability": 0.75750732421875}, {"start": 377.75, "end": 378.47, "word": " functionally,", "probability": 0.6163330078125}, {"start": 378.63, "end": 379.31, "word": " and", "probability": 0.8740234375}, {"start": 379.31, "end": 379.63, "word": " the", "probability": 0.7138671875}, {"start": 379.63, "end": 379.91, "word": " base", "probability": 0.89599609375}, {"start": 379.91, "end": 380.21, "word": " here", "probability": 0.6318359375}, {"start": 380.21, "end": 380.43, "word": " should", "probability": 0.36474609375}, {"start": 380.43, "end": 380.71, "word": " be", "probability": 0.94580078125}, {"start": 380.71, "end": 381.17, "word": " down,", "probability": 0.86474609375}, {"start": 381.61, "end": 381.71, "word": " so", "probability": 0.5751953125}, {"start": 381.71, "end": 382.17, "word": " I", "probability": 0.448486328125}, {"start": 382.17, "end": 382.27, "word": " make", "probability": 0.09747314453125}, {"start": 382.27, "end": 382.53, "word": " use", "probability": 0.424560546875}, {"start": 382.53, "end": 382.77, "word": " of", "probability": 0.9599609375}, {"start": 382.77, "end": 383.33, "word": " them,", "probability": 0.60595703125}, {"start": 383.35, "end": 383.51, "word": " I", "probability": 0.493896484375}, {"start": 383.51, "end": 383.79, "word": " make", "probability": 0.89013671875}, {"start": 383.79, "end": 383.81, "word": " use", "probability": 0.91796875}, {"start": 383.81, "end": 383.99, "word": " of", "probability": 0.96923828125}, {"start": 383.99, "end": 384.45, "word": " them,", "probability": 0.77099609375}, {"start": 384.77, "end": 384.93, "word": " a", "probability": 0.344482421875}, {"start": 384.93, "end": 385.31, "word": " prism", "probability": 0.916259765625}, {"start": 385.31, "end": 385.77, "word": " whose", "probability": 0.268798828125}, {"start": 385.77, "end": 386.13, "word": " base", "probability": 0.8984375}, {"start": 386.13, "end": 386.57, "word": " is", "probability": 0.89111328125}, {"start": 386.57, "end": 386.99, "word": " out", "probability": 0.80517578125}, {"start": 386.99, "end": 387.39, "word": " and", "probability": 0.939453125}, {"start": 387.39, "end": 387.97, "word": " down,", "probability": 0.86669921875}, {"start": 388.13, "end": 388.43, "word": " out", "probability": 0.83984375}, {"start": 388.43, "end": 388.75, "word": " and", "probability": 0.95263671875}, {"start": 388.75, "end": 389.15, "word": " down,", "probability": 0.865234375}, {"start": 390.29, "end": 390.39, "word": " in", "probability": 0.3388671875}, {"start": 390.39, "end": 390.51, "word": " the", "probability": 0.8818359375}, {"start": 390.51, "end": 390.73, "word": " way", "probability": 0.57080078125}, {"start": 390.73, "end": 391.15, "word": " we", "probability": 0.465087890625}, {"start": 391.15, "end": 391.85, "word": " see", "probability": 0.865234375}, {"start": 391.85, "end": 392.09, "word": " it,", "probability": 0.67236328125}, {"start": 392.11, "end": 392.27, "word": " in", "probability": 0.81103515625}, {"start": 392.27, "end": 392.35, "word": " the", "probability": 0.9228515625}, {"start": 392.35, "end": 392.57, "word": " way", "probability": 0.93505859375}, {"start": 392.57, "end": 393.09, "word": " we", "probability": 0.9296875}, {"start": 393.09, "end": 393.73, "word": " see", "probability": 0.9169921875}, {"start": 393.73, "end": 394.05, "word": " it", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 15, "seek": 42327, "start": 399.11, "end": 423.27, "text": "and this is called the direction of the prism now I want to say that I have two cases it is not enough to say prism based out and down if we want to draw the prism based out and down, we will draw it like this that is, the top of the arrow points towards the base it will be like what we see", "tokens": [474, 341, 307, 1219, 264, 3513, 295, 264, 582, 1434, 586, 286, 528, 281, 584, 300, 286, 362, 732, 3331, 309, 307, 406, 1547, 281, 584, 582, 1434, 2361, 484, 293, 760, 498, 321, 528, 281, 2642, 264, 582, 1434, 2361, 484, 293, 760, 11, 321, 486, 2642, 309, 411, 341, 300, 307, 11, 264, 1192, 295, 264, 11610, 2793, 3030, 264, 3096, 309, 486, 312, 411, 437, 321, 536], "avg_logprob": -0.4460827607504079, "compression_ratio": 1.7962962962962963, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 399.11, "end": 399.29, "word": "and", "probability": 0.2099609375}, {"start": 399.29, "end": 399.49, "word": " this", "probability": 0.75634765625}, {"start": 399.49, "end": 399.59, "word": " is", "probability": 0.8046875}, {"start": 399.59, "end": 400.01, "word": " called", "probability": 0.59765625}, {"start": 400.01, "end": 400.13, "word": " the", "probability": 0.537109375}, {"start": 400.13, "end": 400.91, "word": " direction", "probability": 0.1138916015625}, {"start": 400.91, "end": 401.13, "word": " of", "probability": 0.673828125}, {"start": 401.13, "end": 401.23, "word": " the", "probability": 0.66943359375}, {"start": 401.23, "end": 401.55, "word": " prism", "probability": 0.8974609375}, {"start": 401.55, "end": 402.47, "word": " now", "probability": 0.416748046875}, {"start": 402.47, "end": 402.65, "word": " I", "probability": 0.57568359375}, {"start": 402.65, "end": 402.79, "word": " want", "probability": 0.496826171875}, {"start": 402.79, "end": 402.97, "word": " to", "probability": 0.96484375}, {"start": 402.97, "end": 403.27, "word": " say", "probability": 0.6181640625}, {"start": 403.27, "end": 404.09, "word": " that", "probability": 0.75}, {"start": 404.09, "end": 404.39, "word": " I", "probability": 0.8974609375}, {"start": 404.39, "end": 404.59, "word": " have", "probability": 0.90966796875}, {"start": 404.59, "end": 404.77, "word": " two", "probability": 0.77294921875}, {"start": 404.77, "end": 405.13, "word": " cases", "probability": 0.175537109375}, {"start": 405.13, "end": 406.19, "word": " it", "probability": 0.434814453125}, {"start": 406.19, "end": 406.33, "word": " is", "probability": 0.479736328125}, {"start": 406.33, "end": 406.33, "word": " not", "probability": 0.88818359375}, {"start": 406.33, "end": 406.65, "word": " enough", "probability": 0.85546875}, {"start": 406.65, "end": 406.93, "word": " to", "probability": 0.6552734375}, {"start": 406.93, "end": 407.27, "word": " say", "probability": 0.9169921875}, {"start": 407.27, "end": 407.75, "word": " prism", "probability": 0.6602783203125}, {"start": 407.75, "end": 408.19, "word": " based", "probability": 0.57568359375}, {"start": 408.19, "end": 408.53, "word": " out", "probability": 0.599609375}, {"start": 408.53, "end": 408.81, "word": " and", "probability": 0.93310546875}, {"start": 408.81, "end": 409.01, "word": " down", "probability": 0.84912109375}, {"start": 409.01, "end": 409.17, "word": " if", "probability": 0.487060546875}, {"start": 409.17, "end": 409.31, "word": " we", "probability": 0.78955078125}, {"start": 409.31, "end": 409.43, "word": " want", "probability": 0.78271484375}, {"start": 409.43, "end": 409.51, "word": " to", "probability": 0.96533203125}, {"start": 409.51, "end": 409.71, "word": " draw", "probability": 0.85498046875}, {"start": 409.71, "end": 409.89, "word": " the", "probability": 0.489501953125}, {"start": 409.89, "end": 410.19, "word": " prism", "probability": 0.927734375}, {"start": 410.19, "end": 410.57, "word": " based", "probability": 0.8427734375}, {"start": 410.57, "end": 410.85, "word": " out", "probability": 0.78271484375}, {"start": 410.85, "end": 411.15, "word": " and", "probability": 0.94287109375}, {"start": 411.15, "end": 411.43, "word": " down,", "probability": 0.861328125}, {"start": 411.51, "end": 411.63, "word": " we", "probability": 0.826171875}, {"start": 411.63, "end": 411.67, "word": " will", "probability": 0.54052734375}, {"start": 411.67, "end": 411.89, "word": " draw", "probability": 0.8515625}, {"start": 411.89, "end": 412.07, "word": " it", "probability": 0.7998046875}, {"start": 412.07, "end": 412.35, "word": " like", "probability": 0.51416015625}, {"start": 412.35, "end": 414.87, "word": " this", "probability": 0.9267578125}, {"start": 414.87, "end": 415.03, "word": " that", "probability": 0.1947021484375}, {"start": 415.03, "end": 417.69, "word": " is,", "probability": 0.783203125}, {"start": 417.77, "end": 417.95, "word": " the", "probability": 0.86669921875}, {"start": 417.95, "end": 418.09, "word": " top", "probability": 0.275634765625}, {"start": 418.09, "end": 418.23, "word": " of", "probability": 0.86865234375}, {"start": 418.23, "end": 418.29, "word": " the", "probability": 0.8994140625}, {"start": 418.29, "end": 418.51, "word": " arrow", "probability": 0.546875}, {"start": 418.51, "end": 419.03, "word": " points", "probability": 0.72802734375}, {"start": 419.03, "end": 419.25, "word": " towards", "probability": 0.449462890625}, {"start": 419.25, "end": 419.87, "word": " the", "probability": 0.9130859375}, {"start": 419.87, "end": 420.13, "word": " base", "probability": 0.81201171875}, {"start": 420.13, "end": 420.67, "word": " it", "probability": 0.63818359375}, {"start": 420.67, "end": 420.79, "word": " will", "probability": 0.80029296875}, {"start": 420.79, "end": 420.99, "word": " be", "probability": 0.88427734375}, {"start": 420.99, "end": 421.39, "word": " like", "probability": 0.28369140625}, {"start": 421.39, "end": 422.31, "word": " what", "probability": 0.5029296875}, {"start": 422.31, "end": 422.69, "word": " we", "probability": 0.92431640625}, {"start": 422.69, "end": 423.27, "word": " see", "probability": 0.83837890625}], "temperature": 1.0}, {"id": 16, "seek": 45070, "start": 433.92, "end": 450.7, "text": "بالشكل اللي احنا شايفينه هو انه اتجاه ال base out and down ضروري اعرف الزاوية بين اتجاه ال prism و المحور الأفقي او اتجاه الزاوية بين ال prism و المحور العمودي عشان اعرف بالظبط ما يلانه هيكون بالشكل هذا", "tokens": [3555, 6027, 8592, 28820, 13672, 1829, 1975, 5016, 8315, 13412, 995, 33911, 9957, 3224, 31439, 16472, 3224, 1975, 2655, 7435, 40294, 2423, 3096, 484, 293, 760, 48812, 2288, 13063, 1829, 1975, 3615, 28480, 6024, 110, 995, 2407, 10632, 49374, 1975, 2655, 7435, 40294, 2423, 582, 1434, 4032, 9673, 5016, 13063, 16247, 5172, 38436, 1975, 2407, 1975, 2655, 7435, 40294, 6024, 110, 995, 2407, 10632, 49374, 2423, 582, 1434, 4032, 9673, 5016, 13063, 18863, 2304, 2407, 16254, 6225, 8592, 7649, 1975, 3615, 28480, 20666, 19913, 3555, 9566, 19446, 7251, 1211, 7649, 3224, 39896, 30544, 20666, 8592, 28820, 23758], "avg_logprob": -0.15911990191255296, "compression_ratio": 1.858695652173913, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 433.92, "end": 434.42, "word": "بالشكل", "probability": 0.7671661376953125}, {"start": 434.42, "end": 434.56, "word": " اللي", "probability": 0.8837890625}, {"start": 434.56, "end": 434.86, "word": " احنا", "probability": 0.8662109375}, {"start": 434.86, "end": 435.72, "word": " شايفينه", "probability": 0.96513671875}, {"start": 435.72, "end": 435.92, "word": " هو", "probability": 0.061065673828125}, {"start": 435.92, "end": 436.12, "word": " انه", "probability": 0.7335205078125}, {"start": 436.12, "end": 436.56, "word": " اتجاه", "probability": 0.9066162109375}, {"start": 436.56, "end": 436.7, "word": " ال", "probability": 0.982421875}, {"start": 436.7, "end": 437.04, "word": " base", "probability": 0.61376953125}, {"start": 437.04, "end": 437.42, "word": " out", "probability": 0.73486328125}, {"start": 437.42, "end": 437.68, "word": " and", "probability": 0.9716796875}, {"start": 437.68, "end": 438.0, "word": " down", "probability": 0.86669921875}, {"start": 438.0, "end": 438.72, "word": " ضروري", "probability": 0.8243408203125}, {"start": 438.72, "end": 439.0, "word": " اعرف", "probability": 0.94287109375}, {"start": 439.0, "end": 439.62, "word": " الزاوية", "probability": 0.9638671875}, {"start": 439.62, "end": 440.0, "word": " بين", "probability": 0.9794921875}, {"start": 440.0, "end": 440.82, "word": " اتجاه", "probability": 0.9691162109375}, {"start": 440.82, "end": 440.94, "word": " ال", "probability": 0.8251953125}, {"start": 440.94, "end": 441.36, "word": " prism", "probability": 0.79052734375}, {"start": 441.36, "end": 441.74, "word": " و", "probability": 0.87646484375}, {"start": 441.74, "end": 442.12, "word": " المحور", "probability": 0.88330078125}, {"start": 442.12, "end": 442.66, "word": " الأفقي", "probability": 0.779296875}, {"start": 442.66, "end": 443.46, "word": " او", "probability": 0.847412109375}, {"start": 443.46, "end": 444.48, "word": " اتجاه", "probability": 0.9759521484375}, {"start": 444.48, "end": 445.1, "word": " الزاوية", "probability": 0.964453125}, {"start": 445.1, "end": 445.42, "word": " بين", "probability": 0.9765625}, {"start": 445.42, "end": 446.22, "word": " ال", "probability": 0.98828125}, {"start": 446.22, "end": 446.72, "word": " prism", "probability": 0.842041015625}, {"start": 446.72, "end": 446.86, "word": " و", "probability": 0.98974609375}, {"start": 446.86, "end": 447.38, "word": " المحور", "probability": 0.9650065104166666}, {"start": 447.38, "end": 448.1, "word": " العمودي", "probability": 0.9801025390625}, {"start": 448.1, "end": 448.36, "word": " عشان", "probability": 0.9664713541666666}, {"start": 448.36, "end": 448.62, "word": " اعرف", "probability": 0.9820963541666666}, {"start": 448.62, "end": 449.0, "word": " بالظبط", "probability": 0.9422607421875}, {"start": 449.0, "end": 449.14, "word": " ما", "probability": 0.8330078125}, {"start": 449.14, "end": 449.52, "word": " يلانه", "probability": 0.7236328125}, {"start": 449.52, "end": 449.88, "word": " هيكون", "probability": 0.816162109375}, {"start": 449.88, "end": 450.34, "word": " بالشكل", "probability": 0.9324544270833334}, {"start": 450.34, "end": 450.7, "word": " هذا", "probability": 0.93896484375}], "temperature": 1.0}, {"id": 17, "seek": 47943, "start": 452.37, "end": 479.43, "text": "Or it will be like this Or it will be like this Which means it will be closer to the horizontal axis than to the vertical axis And it will not increase in value Before we talk about this issue We say that the length of the arrow represents the value of the prism When I say for example eight diopter prism based out And we drew it with this length And we say here six prism which means eight arrows The arrow will be drawn by eight arrows The result will be closer to eight", "tokens": [21520, 309, 486, 312, 411, 341, 1610, 309, 486, 312, 411, 341, 3013, 1355, 309, 486, 312, 4966, 281, 264, 12750, 10298, 813, 281, 264, 9429, 10298, 400, 309, 486, 406, 3488, 294, 2158, 4546, 321, 751, 466, 341, 2734, 492, 584, 300, 264, 4641, 295, 264, 11610, 8855, 264, 2158, 295, 264, 582, 1434, 1133, 286, 584, 337, 1365, 3180, 1026, 404, 391, 582, 1434, 2361, 484, 400, 321, 12804, 309, 365, 341, 4641, 400, 321, 584, 510, 2309, 582, 1434, 597, 1355, 3180, 19669, 440, 11610, 486, 312, 10117, 538, 3180, 19669, 440, 1874, 486, 312, 4966, 281, 3180], "avg_logprob": -0.509191198091881, "compression_ratio": 1.9790794979079498, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 452.37, "end": 452.71, "word": "Or", "probability": 0.268798828125}, {"start": 452.71, "end": 452.89, "word": " it", "probability": 0.29248046875}, {"start": 452.89, "end": 453.31, "word": " will", "probability": 0.4853515625}, {"start": 453.31, "end": 453.51, "word": " be", "probability": 0.54248046875}, {"start": 453.51, "end": 453.69, "word": " like", "probability": 0.65087890625}, {"start": 453.69, "end": 454.07, "word": " this", "probability": 0.81103515625}, {"start": 454.07, "end": 454.61, "word": " Or", "probability": 0.271240234375}, {"start": 454.61, "end": 454.87, "word": " it", "probability": 0.89794921875}, {"start": 454.87, "end": 455.21, "word": " will", "probability": 0.88525390625}, {"start": 455.21, "end": 455.41, "word": " be", "probability": 0.94775390625}, {"start": 455.41, "end": 455.41, "word": " like", "probability": 0.85791015625}, {"start": 455.41, "end": 455.87, "word": " this", "probability": 0.8779296875}, {"start": 455.87, "end": 456.43, "word": " Which", "probability": 0.1658935546875}, {"start": 456.43, "end": 456.43, "word": " means", "probability": 0.8427734375}, {"start": 456.43, "end": 456.51, "word": " it", "probability": 0.58935546875}, {"start": 456.51, "end": 456.67, "word": " will", "probability": 0.67041015625}, {"start": 456.67, "end": 456.95, "word": " be", "probability": 0.9189453125}, {"start": 456.95, "end": 457.33, "word": " closer", "probability": 0.70703125}, {"start": 457.33, "end": 457.55, "word": " to", "probability": 0.95361328125}, {"start": 457.55, "end": 457.65, "word": " the", "probability": 0.72265625}, {"start": 457.65, "end": 458.39, "word": " horizontal", "probability": 0.755859375}, {"start": 458.39, "end": 458.41, "word": " axis", "probability": 0.94921875}, {"start": 458.41, "end": 458.71, "word": " than", "probability": 0.2763671875}, {"start": 458.71, "end": 458.87, "word": " to", "probability": 0.457763671875}, {"start": 458.87, "end": 458.95, "word": " the", "probability": 0.8994140625}, {"start": 458.95, "end": 460.23, "word": " vertical", "probability": 0.6982421875}, {"start": 460.23, "end": 460.25, "word": " axis", "probability": 0.962890625}, {"start": 460.25, "end": 460.41, "word": " And", "probability": 0.27587890625}, {"start": 460.41, "end": 460.79, "word": " it", "probability": 0.447509765625}, {"start": 460.79, "end": 460.79, "word": " will", "probability": 0.25732421875}, {"start": 460.79, "end": 460.87, "word": " not", "probability": 0.465087890625}, {"start": 460.87, "end": 460.87, "word": " increase", "probability": 0.1572265625}, {"start": 460.87, "end": 461.29, "word": " in", "probability": 0.313232421875}, {"start": 461.29, "end": 461.29, "word": " value", "probability": 0.94384765625}, {"start": 461.29, "end": 462.17, "word": " Before", "probability": 0.865234375}, {"start": 462.17, "end": 462.43, "word": " we", "probability": 0.71337890625}, {"start": 462.43, "end": 462.61, "word": " talk", "probability": 0.67822265625}, {"start": 462.61, "end": 462.79, "word": " about", "probability": 0.900390625}, {"start": 462.79, "end": 462.97, "word": " this", "probability": 0.82763671875}, {"start": 462.97, "end": 463.55, "word": " issue", "probability": 0.342041015625}, {"start": 463.55, "end": 464.05, "word": " We", "probability": 0.58740234375}, {"start": 464.05, "end": 464.37, "word": " say", "probability": 0.67431640625}, {"start": 464.37, "end": 465.03, "word": " that", "probability": 0.54052734375}, {"start": 465.03, "end": 465.13, "word": " the", "probability": 0.703125}, {"start": 465.13, "end": 465.13, "word": " length", "probability": 0.611328125}, {"start": 465.13, "end": 465.39, "word": " of", "probability": 0.95947265625}, {"start": 465.39, "end": 465.39, "word": " the", "probability": 0.7333984375}, {"start": 465.39, "end": 465.59, "word": " arrow", "probability": 0.6123046875}, {"start": 465.59, "end": 466.29, "word": " represents", "probability": 0.2479248046875}, {"start": 466.29, "end": 466.91, "word": " the", "probability": 0.90283203125}, {"start": 466.91, "end": 467.15, "word": " value", "probability": 0.92431640625}, {"start": 467.15, "end": 467.39, "word": " of", "probability": 0.9677734375}, {"start": 467.39, "end": 467.43, "word": " the", "probability": 0.8720703125}, {"start": 467.43, "end": 467.71, "word": " prism", "probability": 0.93701171875}, {"start": 467.71, "end": 467.89, "word": " When", "probability": 0.61962890625}, {"start": 467.89, "end": 468.07, "word": " I", "probability": 0.9111328125}, {"start": 468.07, "end": 468.23, "word": " say", "probability": 0.9326171875}, {"start": 468.23, "end": 468.43, "word": " for", "probability": 0.68017578125}, {"start": 468.43, "end": 468.65, "word": " example", "probability": 0.95068359375}, {"start": 468.65, "end": 469.13, "word": " eight", "probability": 0.3837890625}, {"start": 469.13, "end": 470.43, "word": " diopter", "probability": 0.6802571614583334}, {"start": 470.43, "end": 470.55, "word": " prism", "probability": 0.6083984375}, {"start": 470.55, "end": 470.77, "word": " based", "probability": 0.481201171875}, {"start": 470.77, "end": 471.21, "word": " out", "probability": 0.86962890625}, {"start": 471.21, "end": 471.79, "word": " And", "probability": 0.7431640625}, {"start": 471.79, "end": 472.11, "word": " we", "probability": 0.77734375}, {"start": 472.11, "end": 472.11, "word": " drew", "probability": 0.708984375}, {"start": 472.11, "end": 472.29, "word": " it", "probability": 0.443115234375}, {"start": 472.29, "end": 472.33, "word": " with", "probability": 0.394775390625}, {"start": 472.33, "end": 472.89, "word": " this", "probability": 0.8642578125}, {"start": 472.89, "end": 472.89, "word": " length", "probability": 0.85400390625}, {"start": 472.89, "end": 473.21, "word": " And", "probability": 0.70703125}, {"start": 473.21, "end": 473.49, "word": " we", "probability": 0.72607421875}, {"start": 473.49, "end": 473.49, "word": " say", "probability": 0.64697265625}, {"start": 473.49, "end": 473.75, "word": " here", "probability": 0.6572265625}, {"start": 473.75, "end": 474.09, "word": " six", "probability": 0.8935546875}, {"start": 474.09, "end": 474.47, "word": " prism", "probability": 0.81396484375}, {"start": 474.47, "end": 474.61, "word": " which", "probability": 0.161865234375}, {"start": 474.61, "end": 474.71, "word": " means", "probability": 0.830078125}, {"start": 474.71, "end": 474.95, "word": " eight", "probability": 0.09771728515625}, {"start": 474.95, "end": 475.17, "word": " arrows", "probability": 0.452392578125}, {"start": 475.17, "end": 475.71, "word": " The", "probability": 0.666015625}, {"start": 475.71, "end": 475.91, "word": " arrow", "probability": 0.71923828125}, {"start": 475.91, "end": 476.09, "word": " will", "probability": 0.328125}, {"start": 476.09, "end": 476.21, "word": " be", "probability": 0.349365234375}, {"start": 476.21, "end": 476.51, "word": " drawn", "probability": 0.88916015625}, {"start": 476.51, "end": 476.67, "word": " by", "probability": 0.148193359375}, {"start": 476.67, "end": 476.91, "word": " eight", "probability": 0.75390625}, {"start": 476.91, "end": 477.19, "word": " arrows", "probability": 0.564453125}, {"start": 477.19, "end": 477.71, "word": " The", "probability": 0.8583984375}, {"start": 477.71, "end": 478.03, "word": " result", "probability": 0.12176513671875}, {"start": 478.03, "end": 478.31, "word": " will", "probability": 0.8212890625}, {"start": 478.31, "end": 478.55, "word": " be", "probability": 0.95361328125}, {"start": 478.55, "end": 478.89, "word": " closer", "probability": 0.79052734375}, {"start": 478.89, "end": 479.11, "word": " to", "probability": 0.88232421875}, {"start": 479.11, "end": 479.43, "word": " eight", "probability": 0.80419921875}], "temperature": 1.0}, {"id": 18, "seek": 50957, "start": 480.83, "end": 509.57, "text": "it will be of course bigger than both of them bigger than both of them 8 prism and 6 prism it will be here for example 9 prism or 10 prism and the angle between it and the horizontal axis closer because the force of the horizontal axis is bigger the force of the horizontal axis is bigger you see how I want to do this case here I have for example 6 prism based up and 8 prism based out", "tokens": [270, 486, 312, 295, 1164, 3801, 813, 1293, 295, 552, 3801, 813, 1293, 295, 552, 1649, 582, 1434, 293, 1386, 582, 1434, 309, 486, 312, 510, 337, 1365, 1722, 582, 1434, 420, 1266, 582, 1434, 293, 264, 5802, 1296, 309, 293, 264, 12750, 10298, 4966, 570, 264, 3464, 295, 264, 12750, 10298, 307, 3801, 264, 3464, 295, 264, 12750, 10298, 307, 3801, 291, 536, 577, 286, 528, 281, 360, 341, 1389, 510, 286, 362, 337, 1365, 1386, 582, 1434, 2361, 493, 293, 1649, 582, 1434, 2361, 484], "avg_logprob": -0.34357243505391205, "compression_ratio": 2.097826086956522, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 480.83, "end": 480.95, "word": "it", "probability": 0.358642578125}, {"start": 480.95, "end": 481.07, "word": " will", "probability": 0.5595703125}, {"start": 481.07, "end": 481.27, "word": " be", "probability": 0.72119140625}, {"start": 481.27, "end": 481.43, "word": " of", "probability": 0.2376708984375}, {"start": 481.43, "end": 481.93, "word": " course", "probability": 0.93017578125}, {"start": 481.93, "end": 482.71, "word": " bigger", "probability": 0.49560546875}, {"start": 482.71, "end": 483.11, "word": " than", "probability": 0.88037109375}, {"start": 483.11, "end": 484.21, "word": " both", "probability": 0.312744140625}, {"start": 484.21, "end": 484.29, "word": " of", "probability": 0.269287109375}, {"start": 484.29, "end": 484.37, "word": " them", "probability": 0.8310546875}, {"start": 484.37, "end": 484.79, "word": " bigger", "probability": 0.257080078125}, {"start": 484.79, "end": 485.49, "word": " than", "probability": 0.68505859375}, {"start": 485.49, "end": 485.81, "word": " both", "probability": 0.8623046875}, {"start": 485.81, "end": 485.97, "word": " of", "probability": 0.91455078125}, {"start": 485.97, "end": 486.15, "word": " them", "probability": 0.9140625}, {"start": 486.15, "end": 486.85, "word": " 8", "probability": 0.50634765625}, {"start": 486.85, "end": 487.31, "word": " prism", "probability": 0.669677734375}, {"start": 487.31, "end": 487.69, "word": " and", "probability": 0.8671875}, {"start": 487.69, "end": 487.99, "word": " 6", "probability": 0.982421875}, {"start": 487.99, "end": 488.41, "word": " prism", "probability": 0.926513671875}, {"start": 488.41, "end": 488.53, "word": " it", "probability": 0.1898193359375}, {"start": 488.53, "end": 488.61, "word": " will", "probability": 0.828125}, {"start": 488.61, "end": 488.81, "word": " be", "probability": 0.8857421875}, {"start": 488.81, "end": 488.97, "word": " here", "probability": 0.48193359375}, {"start": 488.97, "end": 489.17, "word": " for", "probability": 0.7783203125}, {"start": 489.17, "end": 489.41, "word": " example", "probability": 0.9228515625}, {"start": 489.41, "end": 490.15, "word": " 9", "probability": 0.9140625}, {"start": 490.15, "end": 490.53, "word": " prism", "probability": 0.8544921875}, {"start": 490.53, "end": 490.73, "word": " or", "probability": 0.91015625}, {"start": 490.73, "end": 490.97, "word": " 10", "probability": 0.9404296875}, {"start": 490.97, "end": 491.39, "word": " prism", "probability": 0.921142578125}, {"start": 491.39, "end": 491.61, "word": " and", "probability": 0.841796875}, {"start": 491.61, "end": 491.71, "word": " the", "probability": 0.85400390625}, {"start": 491.71, "end": 491.95, "word": " angle", "probability": 0.8154296875}, {"start": 491.95, "end": 492.25, "word": " between", "probability": 0.87451171875}, {"start": 492.25, "end": 492.37, "word": " it", "probability": 0.30078125}, {"start": 492.37, "end": 492.59, "word": " and", "probability": 0.8369140625}, {"start": 492.59, "end": 493.11, "word": " the", "probability": 0.767578125}, {"start": 493.11, "end": 494.07, "word": " horizontal", "probability": 0.6630859375}, {"start": 494.07, "end": 494.07, "word": " axis", "probability": 0.96484375}, {"start": 494.07, "end": 494.57, "word": " closer", "probability": 0.62451171875}, {"start": 494.57, "end": 494.97, "word": " because", "probability": 0.84423828125}, {"start": 494.97, "end": 495.93, "word": " the", "probability": 0.76904296875}, {"start": 495.93, "end": 496.15, "word": " force", "probability": 0.256591796875}, {"start": 496.15, "end": 496.37, "word": " of", "probability": 0.96337890625}, {"start": 496.37, "end": 496.43, "word": " the", "probability": 0.8955078125}, {"start": 496.43, "end": 497.07, "word": " horizontal", "probability": 0.8544921875}, {"start": 497.07, "end": 497.07, "word": " axis", "probability": 0.98583984375}, {"start": 497.07, "end": 497.53, "word": " is", "probability": 0.9140625}, {"start": 497.53, "end": 497.79, "word": " bigger", "probability": 0.48291015625}, {"start": 497.79, "end": 498.01, "word": " the", "probability": 0.5029296875}, {"start": 498.01, "end": 498.15, "word": " force", "probability": 0.8955078125}, {"start": 498.15, "end": 498.33, "word": " of", "probability": 0.97021484375}, {"start": 498.33, "end": 498.77, "word": " the", "probability": 0.9013671875}, {"start": 498.77, "end": 498.91, "word": " horizontal", "probability": 0.87109375}, {"start": 498.91, "end": 498.91, "word": " axis", "probability": 0.986328125}, {"start": 498.91, "end": 499.61, "word": " is", "probability": 0.9267578125}, {"start": 499.61, "end": 499.81, "word": " bigger", "probability": 0.86279296875}, {"start": 499.81, "end": 499.97, "word": " you", "probability": 0.2222900390625}, {"start": 499.97, "end": 500.25, "word": " see", "probability": 0.5390625}, {"start": 500.25, "end": 500.51, "word": " how", "probability": 0.88037109375}, {"start": 500.51, "end": 500.77, "word": " I", "probability": 0.82177734375}, {"start": 500.77, "end": 500.97, "word": " want", "probability": 0.55859375}, {"start": 500.97, "end": 501.07, "word": " to", "probability": 0.966796875}, {"start": 501.07, "end": 501.29, "word": " do", "probability": 0.459228515625}, {"start": 501.29, "end": 501.63, "word": " this", "probability": 0.9365234375}, {"start": 501.63, "end": 502.17, "word": " case", "probability": 0.3857421875}, {"start": 502.17, "end": 504.29, "word": " here", "probability": 0.2154541015625}, {"start": 504.29, "end": 504.47, "word": " I", "probability": 0.9052734375}, {"start": 504.47, "end": 504.81, "word": " have", "probability": 0.943359375}, {"start": 504.81, "end": 505.51, "word": " for", "probability": 0.82421875}, {"start": 505.51, "end": 505.69, "word": " example", "probability": 0.9609375}, {"start": 505.69, "end": 506.03, "word": " 6", "probability": 0.921875}, {"start": 506.03, "end": 506.45, "word": " prism", "probability": 0.9033203125}, {"start": 506.45, "end": 506.79, "word": " based", "probability": 0.51708984375}, {"start": 506.79, "end": 507.17, "word": " up", "probability": 0.9423828125}, {"start": 507.17, "end": 508.01, "word": " and", "probability": 0.9365234375}, {"start": 508.01, "end": 508.33, "word": " 8", "probability": 0.97607421875}, {"start": 508.33, "end": 508.83, "word": " prism", "probability": 0.902099609375}, {"start": 508.83, "end": 509.17, "word": " based", "probability": 0.9560546875}, {"start": 509.17, "end": 509.57, "word": " out", "probability": 0.8935546875}], "temperature": 1.0}, {"id": 19, "seek": 53644, "start": 510.16, "end": 536.44, "text": "بقدر .. بقدر .. قدام إحدى لانتين .. based up بprism .. هنا في عندي hypotropia مش hypertropia عكس الرسم اللي احنا رسمناه يعني اللي نازله لتحت فالabax تشير لتحت ستة prism based up و تمانية prism based out فهيعوض عنهم based up and out .. based up and out زي ما احنا هنشوف الآن", "tokens": [3555, 28543, 2288, 4386, 4724, 28543, 2288, 4386, 12174, 3215, 10943, 11933, 24401, 7578, 5296, 7649, 2655, 9957, 4386, 2361, 493, 4724, 1424, 1434, 4386, 34105, 8978, 18871, 16254, 7420, 310, 1513, 654, 37893, 37488, 1513, 654, 6225, 4117, 3794, 34892, 38251, 13672, 1829, 1975, 5016, 8315, 12602, 38251, 8315, 3224, 37495, 22653, 13672, 1829, 8717, 31377, 43761, 5296, 2655, 33753, 6156, 6027, 455, 2797, 6055, 8592, 13546, 5296, 2655, 33753, 8608, 2655, 3660, 582, 1434, 2361, 493, 4032, 46811, 7649, 10632, 582, 1434, 2361, 484, 6156, 3224, 40228, 2407, 11242, 18871, 16095, 2361, 493, 293, 484, 4386, 2361, 493, 293, 484, 30767, 1829, 19446, 1975, 5016, 8315, 8032, 1863, 8592, 38688, 6024, 48506], "avg_logprob": -0.28749999637189116, "compression_ratio": 1.7668161434977578, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 510.16, "end": 510.82, "word": "بقدر", "probability": 0.673736572265625}, {"start": 510.82, "end": 511.14, "word": " ..", "probability": 0.31103515625}, {"start": 511.14, "end": 512.2, "word": " بقدر", "probability": 0.9010416666666666}, {"start": 512.2, "end": 512.42, "word": " ..", "probability": 0.453857421875}, {"start": 512.42, "end": 513.1, "word": " قدام", "probability": 0.8995768229166666}, {"start": 513.1, "end": 513.34, "word": " إحدى", "probability": 0.8649088541666666}, {"start": 513.34, "end": 513.92, "word": " لانتين", "probability": 0.670257568359375}, {"start": 513.92, "end": 514.36, "word": " ..", "probability": 0.56396484375}, {"start": 514.36, "end": 514.62, "word": " based", "probability": 0.365478515625}, {"start": 514.62, "end": 514.92, "word": " up", "probability": 0.875}, {"start": 514.92, "end": 515.4, "word": " بprism", "probability": 0.7460123697916666}, {"start": 515.4, "end": 515.8, "word": " ..", "probability": 0.42822265625}, {"start": 515.8, "end": 515.94, "word": " هنا", "probability": 0.884765625}, {"start": 515.94, "end": 516.08, "word": " في", "probability": 0.61328125}, {"start": 516.08, "end": 516.32, "word": " عندي", "probability": 0.7244873046875}, {"start": 516.32, "end": 517.18, "word": " hypotropia", "probability": 0.8065185546875}, {"start": 517.18, "end": 517.36, "word": " مش", "probability": 0.93115234375}, {"start": 517.36, "end": 518.34, "word": " hypertropia", "probability": 0.6703287760416666}, {"start": 518.34, "end": 518.9, "word": " عكس", "probability": 0.9640299479166666}, {"start": 518.9, "end": 519.18, "word": " الرسم", "probability": 0.970703125}, {"start": 519.18, "end": 519.34, "word": " اللي", "probability": 0.81103515625}, {"start": 519.34, "end": 519.54, "word": " احنا", "probability": 0.7347412109375}, {"start": 519.54, "end": 520.26, "word": " رسمناه", "probability": 0.982666015625}, {"start": 520.26, "end": 520.4, "word": " يعني", "probability": 0.7117919921875}, {"start": 520.4, "end": 520.52, "word": " اللي", "probability": 0.638916015625}, {"start": 520.52, "end": 520.94, "word": " نازله", "probability": 0.4876302083333333}, {"start": 520.94, "end": 521.42, "word": " لتحت", "probability": 0.94482421875}, {"start": 521.42, "end": 522.62, "word": " فالabax", "probability": 0.59527587890625}, {"start": 522.62, "end": 523.04, "word": " تشير", "probability": 0.8004557291666666}, {"start": 523.04, "end": 523.42, "word": " لتحت", "probability": 0.9807942708333334}, {"start": 523.42, "end": 523.82, "word": " ستة", "probability": 0.8074544270833334}, {"start": 523.82, "end": 524.12, "word": " prism", "probability": 0.64697265625}, {"start": 524.12, "end": 524.42, "word": " based", "probability": 0.9580078125}, {"start": 524.42, "end": 524.78, "word": " up", "probability": 0.970703125}, {"start": 524.78, "end": 525.4, "word": " و", "probability": 0.80517578125}, {"start": 525.4, "end": 525.86, "word": " تمانية", "probability": 0.9650065104166666}, {"start": 525.86, "end": 526.32, "word": " prism", "probability": 0.830322265625}, {"start": 526.32, "end": 526.86, "word": " based", "probability": 0.96923828125}, {"start": 526.86, "end": 527.32, "word": " out", "probability": 0.92138671875}, {"start": 527.32, "end": 528.28, "word": " فهيعوض", "probability": 0.7828125}, {"start": 528.28, "end": 528.76, "word": " عنهم", "probability": 0.988037109375}, {"start": 528.76, "end": 530.42, "word": " based", "probability": 0.8896484375}, {"start": 530.42, "end": 530.88, "word": " up", "probability": 0.97607421875}, {"start": 530.88, "end": 531.22, "word": " and", "probability": 0.9716796875}, {"start": 531.22, "end": 531.6, "word": " out", "probability": 0.9130859375}, {"start": 531.6, "end": 531.7, "word": " ..", "probability": 0.4326171875}, {"start": 531.7, "end": 531.98, "word": " based", "probability": 0.97216796875}, {"start": 531.98, "end": 532.38, "word": " up", "probability": 0.97265625}, {"start": 532.38, "end": 532.66, "word": " and", "probability": 0.97021484375}, {"start": 532.66, "end": 533.2, "word": " out", "probability": 0.9033203125}, {"start": 533.2, "end": 535.08, "word": " زي", "probability": 0.850341796875}, {"start": 535.08, "end": 535.18, "word": " ما", "probability": 0.9482421875}, {"start": 535.18, "end": 535.5, "word": " احنا", "probability": 0.876953125}, {"start": 535.5, "end": 536.0, "word": " هنشوف", "probability": 0.967529296875}, {"start": 536.0, "end": 536.44, "word": " الآن", "probability": 0.797119140625}], "temperature": 1.0}, {"id": 20, "seek": 54363, "start": 541.75, "end": 543.63, "text": "It's going to get closer to the prism", "tokens": [3522, 311, 516, 281, 483, 4966, 281, 264, 582, 1434], "avg_logprob": -1.0859374566511675, "compression_ratio": 0.8809523809523809, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 541.75, "end": 542.01, "word": "It's", "probability": 0.1737060546875}, {"start": 542.01, "end": 542.01, "word": " going", "probability": 0.405517578125}, {"start": 542.01, "end": 542.01, "word": " to", "probability": 0.95654296875}, {"start": 542.01, "end": 542.33, "word": " get", "probability": 0.1925048828125}, {"start": 542.33, "end": 542.45, "word": " closer", "probability": 0.77392578125}, {"start": 542.45, "end": 542.45, "word": " to", "probability": 0.5009765625}, {"start": 542.45, "end": 543.21, "word": " the", "probability": 0.284423828125}, {"start": 543.21, "end": 543.63, "word": " prism", "probability": 0.60931396484375}], "temperature": 1.0}, {"id": 21, "seek": 57917, "start": 554.04, "end": 579.18, "text": "to the horizontal axis and from it to the vertical axis because the force of the horizontal prism is more than the vertical prism because the angle here is 37 degrees so here the angle will be 53 degrees 53 degrees and 37 degrees means 90 degrees", "tokens": [1353, 264, 12750, 10298, 293, 490, 309, 281, 264, 9429, 10298, 570, 264, 3464, 295, 264, 12750, 582, 1434, 307, 544, 813, 264, 9429, 582, 1434, 570, 264, 5802, 510, 307, 13435, 5310, 370, 510, 264, 5802, 486, 312, 21860, 5310, 21860, 5310, 293, 13435, 5310, 1355, 4289, 5310], "avg_logprob": -0.49968748807907104, "compression_ratio": 1.8636363636363635, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 554.04, "end": 554.32, "word": "to", "probability": 0.345947265625}, {"start": 554.32, "end": 554.4, "word": " the", "probability": 0.79931640625}, {"start": 554.4, "end": 555.1, "word": " horizontal", "probability": 0.68701171875}, {"start": 555.1, "end": 555.1, "word": " axis", "probability": 0.93994140625}, {"start": 555.1, "end": 555.38, "word": " and", "probability": 0.315185546875}, {"start": 555.38, "end": 555.4, "word": " from", "probability": 0.4072265625}, {"start": 555.4, "end": 555.56, "word": " it", "probability": 0.39404296875}, {"start": 555.56, "end": 555.68, "word": " to", "probability": 0.93896484375}, {"start": 555.68, "end": 556.16, "word": " the", "probability": 0.8935546875}, {"start": 556.16, "end": 556.3, "word": " vertical", "probability": 0.74658203125}, {"start": 556.3, "end": 556.36, "word": " axis", "probability": 0.9814453125}, {"start": 556.36, "end": 556.7, "word": " because", "probability": 0.6396484375}, {"start": 556.7, "end": 556.94, "word": " the", "probability": 0.74609375}, {"start": 556.94, "end": 557.08, "word": " force", "probability": 0.1859130859375}, {"start": 557.08, "end": 558.02, "word": " of", "probability": 0.80810546875}, {"start": 558.02, "end": 558.06, "word": " the", "probability": 0.79150390625}, {"start": 558.06, "end": 558.16, "word": " horizontal", "probability": 0.53076171875}, {"start": 558.16, "end": 559.76, "word": " prism", "probability": 0.830322265625}, {"start": 559.76, "end": 561.5, "word": " is", "probability": 0.193603515625}, {"start": 561.5, "end": 561.5, "word": " more", "probability": 0.281982421875}, {"start": 561.5, "end": 562.72, "word": " than", "probability": 0.81884765625}, {"start": 562.72, "end": 563.86, "word": " the", "probability": 0.6171875}, {"start": 563.86, "end": 564.1, "word": " vertical", "probability": 0.76806640625}, {"start": 564.1, "end": 564.28, "word": " prism", "probability": 0.872802734375}, {"start": 564.28, "end": 564.88, "word": " because", "probability": 0.1585693359375}, {"start": 564.88, "end": 565.36, "word": " the", "probability": 0.53076171875}, {"start": 565.36, "end": 565.54, "word": " angle", "probability": 0.7421875}, {"start": 565.54, "end": 565.72, "word": " here", "probability": 0.46337890625}, {"start": 565.72, "end": 566.08, "word": " is", "probability": 0.5595703125}, {"start": 566.08, "end": 566.92, "word": " 37", "probability": 0.92333984375}, {"start": 566.92, "end": 568.02, "word": " degrees", "probability": 0.705078125}, {"start": 568.02, "end": 568.62, "word": " so", "probability": 0.2279052734375}, {"start": 568.62, "end": 568.88, "word": " here", "probability": 0.46728515625}, {"start": 568.88, "end": 569.06, "word": " the", "probability": 0.78076171875}, {"start": 569.06, "end": 569.28, "word": " angle", "probability": 0.8935546875}, {"start": 569.28, "end": 569.5, "word": " will", "probability": 0.54052734375}, {"start": 569.5, "end": 569.84, "word": " be", "probability": 0.64697265625}, {"start": 569.84, "end": 573.24, "word": " 53", "probability": 0.8369140625}, {"start": 573.24, "end": 575.42, "word": " degrees", "probability": 0.859375}, {"start": 575.42, "end": 575.82, "word": " 53", "probability": 0.60595703125}, {"start": 575.82, "end": 576.58, "word": " degrees", "probability": 0.6005859375}, {"start": 576.58, "end": 576.72, "word": " and", "probability": 0.71142578125}, {"start": 576.72, "end": 577.18, "word": " 37", "probability": 0.95556640625}, {"start": 577.18, "end": 577.72, "word": " degrees", "probability": 0.90625}, {"start": 577.72, "end": 578.0, "word": " means", "probability": 0.24853515625}, {"start": 578.0, "end": 578.56, "word": " 90", "probability": 0.95361328125}, {"start": 578.56, "end": 579.18, "word": " degrees", "probability": 0.89794921875}], "temperature": 1.0}, {"id": 22, "seek": 60429, "start": 579.62, "end": 604.3, "text": "The .. the .. the obtained leprism .. the obtained leprism is closer to the strongest leprism So how do I get this angle? How do I get this angle? And how do I get the value? The value is found or is found through the theory of Featherworth Theory of Featherworth which we took in schools This leprism", "tokens": [2278, 4386, 264, 4386, 264, 14879, 476, 1424, 1434, 4386, 264, 14879, 476, 1424, 1434, 307, 4966, 281, 264, 16595, 476, 1424, 1434, 407, 577, 360, 286, 483, 341, 5802, 30, 1012, 360, 286, 483, 341, 5802, 30, 400, 577, 360, 286, 483, 264, 2158, 30, 440, 2158, 307, 1352, 420, 307, 1352, 807, 264, 5261, 295, 3697, 1172, 13136, 29009, 295, 3697, 1172, 13136, 597, 321, 1890, 294, 4656, 639, 476, 1424, 1434], "avg_logprob": -0.3985416579246521, "compression_ratio": 1.9545454545454546, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 579.62, "end": 579.9, "word": "The", "probability": 0.364990234375}, {"start": 579.9, "end": 579.9, "word": " ..", "probability": 0.2362060546875}, {"start": 579.9, "end": 580.6, "word": " the", "probability": 0.689453125}, {"start": 580.6, "end": 580.6, "word": " ..", "probability": 0.57421875}, {"start": 580.6, "end": 580.7, "word": " the", "probability": 0.79443359375}, {"start": 580.7, "end": 581.42, "word": " obtained", "probability": 0.29150390625}, {"start": 581.42, "end": 581.78, "word": " leprism", "probability": 0.4680989583333333}, {"start": 581.78, "end": 582.0, "word": " ..", "probability": 0.56396484375}, {"start": 582.0, "end": 582.46, "word": " the", "probability": 0.66796875}, {"start": 582.46, "end": 582.46, "word": " obtained", "probability": 0.9111328125}, {"start": 582.46, "end": 583.48, "word": " leprism", "probability": 0.9264322916666666}, {"start": 583.48, "end": 583.8, "word": " is", "probability": 0.640625}, {"start": 583.8, "end": 584.24, "word": " closer", "probability": 0.8349609375}, {"start": 584.24, "end": 584.48, "word": " to", "probability": 0.9375}, {"start": 584.48, "end": 585.5, "word": " the", "probability": 0.84814453125}, {"start": 585.5, "end": 585.78, "word": " strongest", "probability": 0.475341796875}, {"start": 585.78, "end": 585.82, "word": " leprism", "probability": 0.9025065104166666}, {"start": 585.82, "end": 586.06, "word": " So", "probability": 0.211181640625}, {"start": 586.06, "end": 586.3, "word": " how", "probability": 0.5703125}, {"start": 586.3, "end": 586.42, "word": " do", "probability": 0.61474609375}, {"start": 586.42, "end": 586.46, "word": " I", "probability": 0.96875}, {"start": 586.46, "end": 586.62, "word": " get", "probability": 0.67236328125}, {"start": 586.62, "end": 586.82, "word": " this", "probability": 0.8232421875}, {"start": 586.82, "end": 587.12, "word": " angle?", "probability": 0.7958984375}, {"start": 588.06, "end": 588.42, "word": " How", "probability": 0.84228515625}, {"start": 588.42, "end": 588.56, "word": " do", "probability": 0.923828125}, {"start": 588.56, "end": 588.6, "word": " I", "probability": 0.994140625}, {"start": 588.6, "end": 588.78, "word": " get", "probability": 0.916015625}, {"start": 588.78, "end": 588.98, "word": " this", "probability": 0.93310546875}, {"start": 588.98, "end": 589.2, "word": " angle?", "probability": 0.8818359375}, {"start": 589.76, "end": 590.36, "word": " And", "probability": 0.80517578125}, {"start": 590.36, "end": 590.88, "word": " how", "probability": 0.81591796875}, {"start": 590.88, "end": 590.96, "word": " do", "probability": 0.9189453125}, {"start": 590.96, "end": 591.0, "word": " I", "probability": 0.99560546875}, {"start": 591.0, "end": 591.2, "word": " get", "probability": 0.85009765625}, {"start": 591.2, "end": 591.38, "word": " the", "probability": 0.59814453125}, {"start": 591.38, "end": 591.68, "word": " value?", "probability": 0.92724609375}, {"start": 592.62, "end": 592.82, "word": " The", "probability": 0.73876953125}, {"start": 592.82, "end": 593.14, "word": " value", "probability": 0.974609375}, {"start": 593.14, "end": 593.54, "word": " is", "probability": 0.493408203125}, {"start": 593.54, "end": 594.42, "word": " found", "probability": 0.416259765625}, {"start": 594.42, "end": 594.64, "word": " or", "probability": 0.358642578125}, {"start": 594.64, "end": 595.0, "word": " is", "probability": 0.58251953125}, {"start": 595.0, "end": 595.56, "word": " found", "probability": 0.64013671875}, {"start": 595.56, "end": 596.56, "word": " through", "probability": 0.60595703125}, {"start": 596.56, "end": 596.96, "word": " the", "probability": 0.84375}, {"start": 596.96, "end": 597.38, "word": " theory", "probability": 0.50390625}, {"start": 597.38, "end": 597.58, "word": " of", "probability": 0.9697265625}, {"start": 597.58, "end": 598.24, "word": " Featherworth", "probability": 0.5425618489583334}, {"start": 598.24, "end": 599.18, "word": " Theory", "probability": 0.40185546875}, {"start": 599.18, "end": 599.96, "word": " of", "probability": 0.9599609375}, {"start": 599.96, "end": 601.14, "word": " Featherworth", "probability": 0.94287109375}, {"start": 601.14, "end": 601.68, "word": " which", "probability": 0.356201171875}, {"start": 601.68, "end": 601.76, "word": " we", "probability": 0.9130859375}, {"start": 601.76, "end": 601.96, "word": " took", "probability": 0.5693359375}, {"start": 601.96, "end": 602.24, "word": " in", "probability": 0.81103515625}, {"start": 602.24, "end": 602.84, "word": " schools", "probability": 0.50390625}, {"start": 602.84, "end": 603.82, "word": " This", "probability": 0.4501953125}, {"start": 603.82, "end": 604.3, "word": " leprism", "probability": 0.87451171875}], "temperature": 1.0}, {"id": 23, "seek": 63414, "start": 606.3, "end": 634.14, "text": "this is the prism, the vertical prism, I can move its force, and here I have a triangle with an angle, I can move it to express the force of the prism, this is 8 prism, and this is 6 prism, the root is the obtained force, the obtained force is equal to the square root of the first square root plus the second square root, the square root of the eighth square,", "tokens": [11176, 307, 264, 582, 1434, 11, 264, 9429, 582, 1434, 11, 286, 393, 1286, 1080, 3464, 11, 293, 510, 286, 362, 257, 13369, 365, 364, 5802, 11, 286, 393, 1286, 309, 281, 5109, 264, 3464, 295, 264, 582, 1434, 11, 341, 307, 1649, 582, 1434, 11, 293, 341, 307, 1386, 582, 1434, 11, 264, 5593, 307, 264, 14879, 3464, 11, 264, 14879, 3464, 307, 2681, 281, 264, 3732, 5593, 295, 264, 700, 3732, 5593, 1804, 264, 1150, 3732, 5593, 11, 264, 3732, 5593, 295, 264, 19495, 3732, 11], "avg_logprob": -0.5235252862565973, "compression_ratio": 2.1301775147928996, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 606.3, "end": 606.58, "word": "this", "probability": 0.350341796875}, {"start": 606.58, "end": 606.58, "word": " is", "probability": 0.71923828125}, {"start": 606.58, "end": 606.7, "word": " the", "probability": 0.490234375}, {"start": 606.7, "end": 606.98, "word": " prism,", "probability": 0.768310546875}, {"start": 607.48, "end": 607.84, "word": " the", "probability": 0.50439453125}, {"start": 607.84, "end": 608.24, "word": " vertical", "probability": 0.90576171875}, {"start": 608.24, "end": 608.64, "word": " prism,", "probability": 0.961669921875}, {"start": 608.74, "end": 608.84, "word": " I", "probability": 0.52392578125}, {"start": 608.84, "end": 609.02, "word": " can", "probability": 0.90380859375}, {"start": 609.02, "end": 609.88, "word": " move", "probability": 0.41552734375}, {"start": 609.88, "end": 610.26, "word": " its", "probability": 0.386474609375}, {"start": 610.26, "end": 610.26, "word": " force,", "probability": 0.53955078125}, {"start": 610.32, "end": 610.36, "word": " and", "probability": 0.61962890625}, {"start": 610.36, "end": 610.52, "word": " here", "probability": 0.61962890625}, {"start": 610.52, "end": 610.6, "word": " I", "probability": 0.8095703125}, {"start": 610.6, "end": 611.02, "word": " have", "probability": 0.693359375}, {"start": 611.02, "end": 611.18, "word": " a", "probability": 0.84619140625}, {"start": 611.18, "end": 611.48, "word": " triangle", "probability": 0.70751953125}, {"start": 611.48, "end": 611.94, "word": " with", "probability": 0.11846923828125}, {"start": 611.94, "end": 612.32, "word": " an", "probability": 0.3955078125}, {"start": 612.32, "end": 612.4, "word": " angle,", "probability": 0.68701171875}, {"start": 612.66, "end": 613.3, "word": " I", "probability": 0.11639404296875}, {"start": 613.3, "end": 613.48, "word": " can", "probability": 0.49658203125}, {"start": 613.48, "end": 613.58, "word": " move", "probability": 0.56298828125}, {"start": 613.58, "end": 613.84, "word": " it", "probability": 0.78515625}, {"start": 613.84, "end": 613.88, "word": " to", "probability": 0.11163330078125}, {"start": 613.88, "end": 614.28, "word": " express", "probability": 0.517578125}, {"start": 614.28, "end": 614.54, "word": " the", "probability": 0.76806640625}, {"start": 614.54, "end": 614.74, "word": " force", "probability": 0.8974609375}, {"start": 614.74, "end": 614.86, "word": " of", "probability": 0.89599609375}, {"start": 614.86, "end": 614.92, "word": " the", "probability": 0.8173828125}, {"start": 614.92, "end": 615.18, "word": " prism,", "probability": 0.947998046875}, {"start": 615.3, "end": 615.62, "word": " this", "probability": 0.3896484375}, {"start": 615.62, "end": 615.78, "word": " is", "probability": 0.72998046875}, {"start": 615.78, "end": 616.1, "word": " 8", "probability": 0.324951171875}, {"start": 616.1, "end": 616.58, "word": " prism,", "probability": 0.748046875}, {"start": 617.14, "end": 617.26, "word": " and", "probability": 0.82568359375}, {"start": 617.26, "end": 617.52, "word": " this", "probability": 0.85205078125}, {"start": 617.52, "end": 617.88, "word": " is", "probability": 0.87841796875}, {"start": 617.88, "end": 618.48, "word": " 6", "probability": 0.93115234375}, {"start": 618.48, "end": 619.92, "word": " prism,", "probability": 0.94140625}, {"start": 620.44, "end": 621.16, "word": " the", "probability": 0.59912109375}, {"start": 621.16, "end": 621.42, "word": " root", "probability": 0.10052490234375}, {"start": 621.42, "end": 622.0, "word": " is", "probability": 0.7197265625}, {"start": 622.0, "end": 622.2, "word": " the", "probability": 0.83740234375}, {"start": 622.2, "end": 622.84, "word": " obtained", "probability": 0.1142578125}, {"start": 622.84, "end": 622.92, "word": " force,", "probability": 0.92431640625}, {"start": 623.46, "end": 623.6, "word": " the", "probability": 0.5654296875}, {"start": 623.6, "end": 624.3, "word": " obtained", "probability": 0.9306640625}, {"start": 624.3, "end": 624.42, "word": " force", "probability": 0.96533203125}, {"start": 624.42, "end": 625.74, "word": " is", "probability": 0.583984375}, {"start": 625.74, "end": 626.22, "word": " equal", "probability": 0.349853515625}, {"start": 626.22, "end": 626.4, "word": " to", "probability": 0.96728515625}, {"start": 626.4, "end": 626.56, "word": " the", "probability": 0.82470703125}, {"start": 626.56, "end": 626.78, "word": " square", "probability": 0.50244140625}, {"start": 626.78, "end": 627.16, "word": " root", "probability": 0.70703125}, {"start": 627.16, "end": 627.52, "word": " of", "probability": 0.93359375}, {"start": 627.52, "end": 628.24, "word": " the", "probability": 0.7607421875}, {"start": 628.24, "end": 628.28, "word": " first", "probability": 0.4921875}, {"start": 628.28, "end": 628.36, "word": " square", "probability": 0.58251953125}, {"start": 628.36, "end": 628.48, "word": " root", "probability": 0.61474609375}, {"start": 628.48, "end": 629.3, "word": " plus", "probability": 0.6435546875}, {"start": 629.3, "end": 630.42, "word": " the", "probability": 0.8896484375}, {"start": 630.42, "end": 630.72, "word": " second", "probability": 0.7841796875}, {"start": 630.72, "end": 630.72, "word": " square", "probability": 0.8662109375}, {"start": 630.72, "end": 631.32, "word": " root,", "probability": 0.896484375}, {"start": 631.84, "end": 632.08, "word": " the", "probability": 0.8203125}, {"start": 632.08, "end": 632.8, "word": " square", "probability": 0.595703125}, {"start": 632.8, "end": 632.88, "word": " root", "probability": 0.93115234375}, {"start": 632.88, "end": 633.24, "word": " of", "probability": 0.6904296875}, {"start": 633.24, "end": 633.32, "word": " the", "probability": 0.603515625}, {"start": 633.32, "end": 633.68, "word": " eighth", "probability": 0.68212890625}, {"start": 633.68, "end": 634.14, "word": " square,", "probability": 0.8525390625}], "temperature": 1.0}, {"id": 24, "seek": 64799, "start": 635.17, "end": 647.99, "text": "زاد الستة تربيع زي ما احنا المعادلة بتقول عنها زي ما المعادلة بتقول عنها طيب، اذا الجذر التربيع إلى تمانية تربيع، تمانية تربيع يعني تمانية في تمانية باربعة وستين", "tokens": [11622, 18513, 2423, 14851, 3660, 6055, 2288, 21292, 3615, 30767, 1829, 19446, 1975, 5016, 8315, 9673, 3615, 18513, 37977, 39894, 39648, 18871, 11296, 30767, 1829, 19446, 9673, 3615, 18513, 37977, 39894, 39648, 18871, 11296, 23032, 1829, 3555, 12399, 1975, 15730, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 30731, 46811, 7649, 10632, 6055, 2288, 21292, 3615, 12399, 46811, 7649, 10632, 6055, 2288, 21292, 3615, 37495, 22653, 46811, 7649, 10632, 8978, 46811, 7649, 10632, 4724, 9640, 3555, 27884, 4032, 14851, 9957], "avg_logprob": -0.17421875558793545, "compression_ratio": 2.145985401459854, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 635.17, "end": 635.79, "word": "زاد", "probability": 0.41961669921875}, {"start": 635.79, "end": 636.39, "word": " الستة", "probability": 0.5978190104166666}, {"start": 636.39, "end": 636.79, "word": " تربيع", "probability": 0.87451171875}, {"start": 636.79, "end": 637.05, "word": " زي", "probability": 0.933837890625}, {"start": 637.05, "end": 637.21, "word": " ما", "probability": 0.89404296875}, {"start": 637.21, "end": 637.55, "word": " احنا", "probability": 0.9078776041666666}, {"start": 637.55, "end": 638.27, "word": " المعادلة", "probability": 0.9698486328125}, {"start": 638.27, "end": 639.43, "word": " بتقول", "probability": 0.984375}, {"start": 639.43, "end": 640.09, "word": " عنها", "probability": 0.663330078125}, {"start": 640.09, "end": 640.33, "word": " زي", "probability": 0.7337646484375}, {"start": 640.33, "end": 640.39, "word": " ما", "probability": 0.9619140625}, {"start": 640.39, "end": 640.87, "word": " المعادلة", "probability": 0.9935302734375}, {"start": 640.87, "end": 641.25, "word": " بتقول", "probability": 0.994140625}, {"start": 641.25, "end": 641.61, "word": " عنها", "probability": 0.935791015625}, {"start": 641.61, "end": 642.09, "word": " طيب،", "probability": 0.59002685546875}, {"start": 642.09, "end": 642.41, "word": " اذا", "probability": 0.87548828125}, {"start": 642.41, "end": 643.33, "word": " الجذر", "probability": 0.94921875}, {"start": 643.33, "end": 643.89, "word": " التربيع", "probability": 0.9281005859375}, {"start": 643.89, "end": 644.07, "word": " إلى", "probability": 0.369384765625}, {"start": 644.07, "end": 644.53, "word": " تمانية", "probability": 0.955078125}, {"start": 644.53, "end": 645.31, "word": " تربيع،", "probability": 0.88955078125}, {"start": 645.31, "end": 645.67, "word": " تمانية", "probability": 0.9912109375}, {"start": 645.67, "end": 646.05, "word": " تربيع", "probability": 0.9595947265625}, {"start": 646.05, "end": 646.21, "word": " يعني", "probability": 0.910888671875}, {"start": 646.21, "end": 646.59, "word": " تمانية", "probability": 0.9596354166666666}, {"start": 646.59, "end": 646.67, "word": " في", "probability": 0.90478515625}, {"start": 646.67, "end": 646.99, "word": " تمانية", "probability": 0.9910481770833334}, {"start": 646.99, "end": 647.41, "word": " باربعة", "probability": 0.7698974609375}, {"start": 647.41, "end": 647.99, "word": " وستين", "probability": 0.9069010416666666}], "temperature": 1.0}, {"id": 25, "seek": 67003, "start": 668.63, "end": 670.03, "text": " 6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x", "tokens": [1386, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87, 21, 87], "avg_logprob": -0.04604166719648573, "compression_ratio": 17.307692307692307, "no_speech_prob": 0.00014078617095947266, "words": [{"start": 668.63, "end": 670.03, "word": " 6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x6x", "probability": 0.951376233782087}], "temperature": 1.0}, {"id": 26, "seek": 69637, "start": 670.09, "end": 696.37, "text": "3 on 4 ok we do shift T and we get the angle let's see how it works with calculator we say we need another calculator", "tokens": [18, 322, 1017, 3133, 321, 360, 5513, 314, 293, 321, 483, 264, 5802, 718, 311, 536, 577, 309, 1985, 365, 24993, 321, 584, 321, 643, 1071, 24993], "avg_logprob": -0.7862723107848849, "compression_ratio": 1.2446808510638299, "no_speech_prob": 1.7881393432617188e-06, "words": [{"start": 670.09, "end": 670.37, "word": "3", "probability": 0.34228515625}, {"start": 670.37, "end": 670.73, "word": " on", "probability": 0.05206298828125}, {"start": 670.73, "end": 671.13, "word": " 4", "probability": 0.912109375}, {"start": 671.13, "end": 671.73, "word": " ok", "probability": 0.084716796875}, {"start": 671.73, "end": 672.43, "word": " we", "probability": 0.3125}, {"start": 672.43, "end": 672.77, "word": " do", "probability": 0.346435546875}, {"start": 672.77, "end": 673.41, "word": " shift", "probability": 0.83251953125}, {"start": 673.41, "end": 673.95, "word": " T", "probability": 0.07208251953125}, {"start": 673.95, "end": 674.33, "word": " and", "probability": 0.646484375}, {"start": 674.33, "end": 674.49, "word": " we", "probability": 0.25830078125}, {"start": 674.49, "end": 674.75, "word": " get", "probability": 0.61962890625}, {"start": 674.75, "end": 675.63, "word": " the", "probability": 0.399658203125}, {"start": 675.63, "end": 675.87, "word": " angle", "probability": 0.466552734375}, {"start": 675.87, "end": 676.01, "word": " let's", "probability": 0.4930419921875}, {"start": 676.01, "end": 676.21, "word": " see", "probability": 0.79736328125}, {"start": 676.21, "end": 677.43, "word": " how", "probability": 0.405517578125}, {"start": 677.43, "end": 677.43, "word": " it", "probability": 0.274658203125}, {"start": 677.43, "end": 677.43, "word": " works", "probability": 0.27587890625}, {"start": 677.43, "end": 677.43, "word": " with", "probability": 0.58740234375}, {"start": 677.43, "end": 678.17, "word": " calculator", "probability": 0.5751953125}, {"start": 678.17, "end": 679.61, "word": " we", "probability": 0.435302734375}, {"start": 679.61, "end": 679.87, "word": " say", "probability": 0.4697265625}, {"start": 679.87, "end": 695.39, "word": " we", "probability": 0.5517578125}, {"start": 695.39, "end": 695.71, "word": " need", "probability": 0.92529296875}, {"start": 695.71, "end": 695.91, "word": " another", "probability": 0.796875}, {"start": 695.91, "end": 696.37, "word": " calculator", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 27, "seek": 73352, "start": 713.24, "end": 733.52, "text": "I shift down six divided by eight and equals equals", "tokens": [40, 5513, 760, 2309, 6666, 538, 3180, 293, 6915, 6915], "avg_logprob": -0.7549716125835072, "compression_ratio": 0.9622641509433962, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 713.24, "end": 713.52, "word": "I", "probability": 0.6650390625}, {"start": 713.52, "end": 713.82, "word": " shift", "probability": 0.77099609375}, {"start": 713.82, "end": 714.32, "word": " down", "probability": 0.25048828125}, {"start": 714.32, "end": 716.86, "word": " six", "probability": 0.3232421875}, {"start": 716.86, "end": 719.9, "word": " divided", "probability": 0.1622314453125}, {"start": 719.9, "end": 720.02, "word": " by", "probability": 0.6884765625}, {"start": 720.02, "end": 721.14, "word": " eight", "probability": 0.85498046875}, {"start": 721.14, "end": 724.34, "word": " and", "probability": 0.2939453125}, {"start": 724.34, "end": 725.52, "word": " equals", "probability": 0.33740234375}, {"start": 725.52, "end": 733.52, "word": " equals", "probability": 0.642578125}], "temperature": 1.0}, {"id": 28, "seek": 75757, "start": 734.97, "end": 757.57, "text": "36 and 8 from 10 degree or 36 and 86 from 100 degree is approximately 37 degree as I have the drawing here of course I will not say 36 and 86 from 100 degree it is approximately 37 degree and the value of the prism is 10 let's see in the simulation how it is in the vector addition of the prism", "tokens": [11309, 293, 1649, 490, 1266, 4314, 420, 8652, 293, 26687, 490, 2319, 4314, 307, 10447, 13435, 4314, 382, 286, 362, 264, 6316, 510, 295, 1164, 286, 486, 406, 584, 8652, 293, 26687, 490, 2319, 4314, 309, 307, 10447, 13435, 4314, 293, 264, 2158, 295, 264, 582, 1434, 307, 1266, 718, 311, 536, 294, 264, 16575, 577, 309, 307, 294, 264, 8062, 4500, 295, 264, 582, 1434], "avg_logprob": -0.44239738450121524, "compression_ratio": 1.8846153846153846, "no_speech_prob": 1.0728836059570312e-06, "words": [{"start": 734.97, "end": 735.49, "word": "36", "probability": 0.744140625}, {"start": 735.49, "end": 736.01, "word": " and", "probability": 0.11016845703125}, {"start": 736.01, "end": 736.33, "word": " 8", "probability": 0.65478515625}, {"start": 736.33, "end": 736.53, "word": " from", "probability": 0.57763671875}, {"start": 736.53, "end": 736.87, "word": " 10", "probability": 0.95166015625}, {"start": 736.87, "end": 737.33, "word": " degree", "probability": 0.5458984375}, {"start": 737.33, "end": 737.53, "word": " or", "probability": 0.66943359375}, {"start": 737.53, "end": 737.97, "word": " 36", "probability": 0.93798828125}, {"start": 737.97, "end": 738.33, "word": " and", "probability": 0.90087890625}, {"start": 738.33, "end": 739.29, "word": " 86", "probability": 0.3203125}, {"start": 739.29, "end": 739.45, "word": " from", "probability": 0.53857421875}, {"start": 739.45, "end": 739.61, "word": " 100", "probability": 0.869140625}, {"start": 739.61, "end": 739.89, "word": " degree", "probability": 0.94140625}, {"start": 739.89, "end": 740.07, "word": " is", "probability": 0.402587890625}, {"start": 740.07, "end": 740.43, "word": " approximately", "probability": 0.3974609375}, {"start": 740.43, "end": 740.89, "word": " 37", "probability": 0.97265625}, {"start": 740.89, "end": 741.85, "word": " degree", "probability": 0.87060546875}, {"start": 741.85, "end": 742.45, "word": " as", "probability": 0.1806640625}, {"start": 742.45, "end": 742.67, "word": " I", "probability": 0.427978515625}, {"start": 742.67, "end": 742.87, "word": " have", "probability": 0.79248046875}, {"start": 742.87, "end": 743.03, "word": " the", "probability": 0.298583984375}, {"start": 743.03, "end": 743.23, "word": " drawing", "probability": 0.349365234375}, {"start": 743.23, "end": 743.55, "word": " here", "probability": 0.75341796875}, {"start": 743.55, "end": 743.73, "word": " of", "probability": 0.568359375}, {"start": 743.73, "end": 743.97, "word": " course", "probability": 0.92724609375}, {"start": 743.97, "end": 744.79, "word": " I", "probability": 0.61669921875}, {"start": 744.79, "end": 744.91, "word": " will", "probability": 0.443359375}, {"start": 744.91, "end": 744.91, "word": " not", "probability": 0.90869140625}, {"start": 744.91, "end": 745.09, "word": " say", "probability": 0.370849609375}, {"start": 745.09, "end": 745.75, "word": " 36", "probability": 0.67578125}, {"start": 745.75, "end": 746.33, "word": " and", "probability": 0.9228515625}, {"start": 746.33, "end": 746.93, "word": " 86", "probability": 0.86181640625}, {"start": 746.93, "end": 747.09, "word": " from", "probability": 0.87158203125}, {"start": 747.09, "end": 747.53, "word": " 100", "probability": 0.86572265625}, {"start": 747.53, "end": 747.79, "word": " degree", "probability": 0.96240234375}, {"start": 747.79, "end": 747.95, "word": " it", "probability": 0.203125}, {"start": 747.95, "end": 747.95, "word": " is", "probability": 0.75}, {"start": 747.95, "end": 748.31, "word": " approximately", "probability": 0.84521484375}, {"start": 748.31, "end": 748.73, "word": " 37", "probability": 0.984375}, {"start": 748.73, "end": 752.11, "word": " degree", "probability": 0.91796875}, {"start": 752.11, "end": 752.33, "word": " and", "probability": 0.454833984375}, {"start": 752.33, "end": 752.47, "word": " the", "probability": 0.84228515625}, {"start": 752.47, "end": 752.71, "word": " value", "probability": 0.93115234375}, {"start": 752.71, "end": 753.03, "word": " of", "probability": 0.83935546875}, {"start": 753.03, "end": 753.17, "word": " the", "probability": 0.62353515625}, {"start": 753.17, "end": 753.47, "word": " prism", "probability": 0.936767578125}, {"start": 753.47, "end": 753.59, "word": " is", "probability": 0.8837890625}, {"start": 753.59, "end": 753.85, "word": " 10", "probability": 0.90478515625}, {"start": 753.85, "end": 754.11, "word": " let's", "probability": 0.5985107421875}, {"start": 754.11, "end": 754.27, "word": " see", "probability": 0.77490234375}, {"start": 754.27, "end": 754.39, "word": " in", "probability": 0.339111328125}, {"start": 754.39, "end": 754.47, "word": " the", "probability": 0.40966796875}, {"start": 754.47, "end": 754.97, "word": " simulation", "probability": 0.9609375}, {"start": 754.97, "end": 755.21, "word": " how", "probability": 0.716796875}, {"start": 755.21, "end": 755.25, "word": " it", "probability": 0.36669921875}, {"start": 755.25, "end": 755.91, "word": " is", "probability": 0.5419921875}, {"start": 755.91, "end": 756.05, "word": " in", "probability": 0.72314453125}, {"start": 756.05, "end": 756.15, "word": " the", "probability": 0.36865234375}, {"start": 756.15, "end": 756.45, "word": " vector", "probability": 0.939453125}, {"start": 756.45, "end": 756.93, "word": " addition", "probability": 0.93994140625}, {"start": 756.93, "end": 757.15, "word": " of", "probability": 0.96923828125}, {"start": 757.15, "end": 757.27, "word": " the", "probability": 0.5419921875}, {"start": 757.27, "end": 757.57, "word": " prism", "probability": 0.932861328125}], "temperature": 1.0}, {"id": 29, "seek": 78728, "start": 766.56, "end": 787.28, "text": "prism force must be 6 on the vertical axis and here the second prism must be on the horizontal axis and its value is 8 prism here is the value 8 prism and here is the value 6 prism now I want their sum their sum will be", "tokens": [1424, 1434, 3464, 1633, 312, 1386, 322, 264, 9429, 10298, 293, 510, 264, 1150, 582, 1434, 1633, 312, 322, 264, 12750, 10298, 293, 1080, 2158, 307, 1649, 582, 1434, 510, 307, 264, 2158, 1649, 582, 1434, 293, 510, 307, 264, 2158, 1386, 582, 1434, 586, 286, 528, 641, 2408, 641, 2408, 486, 312], "avg_logprob": -0.45023147265116376, "compression_ratio": 1.7661290322580645, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 766.5600000000001, "end": 767.12, "word": "prism", "probability": 0.57867431640625}, {"start": 767.12, "end": 767.12, "word": " force", "probability": 0.2418212890625}, {"start": 767.12, "end": 767.52, "word": " must", "probability": 0.418701171875}, {"start": 767.52, "end": 767.72, "word": " be", "probability": 0.8720703125}, {"start": 767.72, "end": 768.2, "word": " 6", "probability": 0.5654296875}, {"start": 768.2, "end": 768.38, "word": " on", "probability": 0.5166015625}, {"start": 768.38, "end": 768.44, "word": " the", "probability": 0.3896484375}, {"start": 768.44, "end": 768.88, "word": " vertical", "probability": 0.830078125}, {"start": 768.88, "end": 769.7, "word": " axis", "probability": 0.456787109375}, {"start": 769.7, "end": 770.64, "word": " and", "probability": 0.4619140625}, {"start": 770.64, "end": 770.82, "word": " here", "probability": 0.2529296875}, {"start": 770.82, "end": 771.08, "word": " the", "probability": 0.5439453125}, {"start": 771.08, "end": 771.84, "word": " second", "probability": 0.720703125}, {"start": 771.84, "end": 771.84, "word": " prism", "probability": 0.9541015625}, {"start": 771.84, "end": 772.96, "word": " must", "probability": 0.489501953125}, {"start": 772.96, "end": 773.18, "word": " be", "probability": 0.9375}, {"start": 773.18, "end": 773.3, "word": " on", "probability": 0.564453125}, {"start": 773.3, "end": 773.4, "word": " the", "probability": 0.75}, {"start": 773.4, "end": 773.92, "word": " horizontal", "probability": 0.857421875}, {"start": 773.92, "end": 775.14, "word": " axis", "probability": 0.95849609375}, {"start": 775.14, "end": 775.94, "word": " and", "probability": 0.515625}, {"start": 775.94, "end": 776.26, "word": " its", "probability": 0.407470703125}, {"start": 776.26, "end": 776.26, "word": " value", "probability": 0.96044921875}, {"start": 776.26, "end": 776.36, "word": " is", "probability": 0.8203125}, {"start": 776.36, "end": 776.7, "word": " 8", "probability": 0.93212890625}, {"start": 776.7, "end": 777.18, "word": " prism", "probability": 0.81103515625}, {"start": 777.18, "end": 779.2, "word": " here", "probability": 0.175048828125}, {"start": 779.2, "end": 779.28, "word": " is", "probability": 0.462890625}, {"start": 779.28, "end": 779.36, "word": " the", "probability": 0.80224609375}, {"start": 779.36, "end": 779.54, "word": " value", "probability": 0.94189453125}, {"start": 779.54, "end": 779.82, "word": " 8", "probability": 0.453125}, {"start": 779.82, "end": 780.4, "word": " prism", "probability": 0.91064453125}, {"start": 780.4, "end": 780.66, "word": " and", "probability": 0.80615234375}, {"start": 780.66, "end": 780.84, "word": " here", "probability": 0.794921875}, {"start": 780.84, "end": 780.98, "word": " is", "probability": 0.56494140625}, {"start": 780.98, "end": 781.02, "word": " the", "probability": 0.8115234375}, {"start": 781.02, "end": 781.22, "word": " value", "probability": 0.9580078125}, {"start": 781.22, "end": 782.68, "word": " 6", "probability": 0.91015625}, {"start": 782.68, "end": 783.46, "word": " prism", "probability": 0.953125}, {"start": 783.46, "end": 783.72, "word": " now", "probability": 0.6708984375}, {"start": 783.72, "end": 783.86, "word": " I", "probability": 0.66943359375}, {"start": 783.86, "end": 783.96, "word": " want", "probability": 0.537109375}, {"start": 783.96, "end": 784.14, "word": " their", "probability": 0.7646484375}, {"start": 784.14, "end": 784.46, "word": " sum", "probability": 0.92578125}, {"start": 784.46, "end": 786.1, "word": " their", "probability": 0.5732421875}, {"start": 786.1, "end": 786.44, "word": " sum", "probability": 0.92822265625}, {"start": 786.44, "end": 787.06, "word": " will", "probability": 0.5400390625}, {"start": 787.06, "end": 787.28, "word": " be", "probability": 0.8232421875}], "temperature": 1.0}, {"id": 30, "seek": 81198, "start": 794.76, "end": 811.98, "text": "10 prism, the value is 10 prism, look at its angle, it is approximately 36.9 degrees, which is 37 degrees if we change the values, this is 6 prism, we leave this 8", "tokens": [3279, 582, 1434, 11, 264, 2158, 307, 1266, 582, 1434, 11, 574, 412, 1080, 5802, 11, 309, 307, 10447, 8652, 13, 24, 5310, 11, 597, 307, 13435, 5310, 498, 321, 1319, 264, 4190, 11, 341, 307, 1386, 582, 1434, 11, 321, 1856, 341, 1649], "avg_logprob": -0.5552083174387614, "compression_ratio": 1.38135593220339, "no_speech_prob": 1.52587890625e-05, "words": [{"start": 794.76, "end": 795.24, "word": "10", "probability": 0.216796875}, {"start": 795.24, "end": 795.9, "word": " prism,", "probability": 0.67919921875}, {"start": 796.02, "end": 796.68, "word": " the", "probability": 0.1883544921875}, {"start": 796.68, "end": 796.96, "word": " value", "probability": 0.8203125}, {"start": 796.96, "end": 797.08, "word": " is", "probability": 0.7607421875}, {"start": 797.08, "end": 797.3, "word": " 10", "probability": 0.916015625}, {"start": 797.3, "end": 797.64, "word": " prism,", "probability": 0.93603515625}, {"start": 797.72, "end": 797.88, "word": " look", "probability": 0.329345703125}, {"start": 797.88, "end": 797.96, "word": " at", "probability": 0.82177734375}, {"start": 797.96, "end": 798.04, "word": " its", "probability": 0.390869140625}, {"start": 798.04, "end": 798.44, "word": " angle,", "probability": 0.861328125}, {"start": 799.08, "end": 799.96, "word": " it", "probability": 0.481201171875}, {"start": 799.96, "end": 800.18, "word": " is", "probability": 0.53564453125}, {"start": 800.18, "end": 800.54, "word": " approximately", "probability": 0.18359375}, {"start": 800.54, "end": 801.2, "word": " 36", "probability": 0.921875}, {"start": 801.2, "end": 801.84, "word": ".9", "probability": 0.932861328125}, {"start": 801.84, "end": 802.64, "word": " degrees,", "probability": 0.64013671875}, {"start": 802.74, "end": 802.88, "word": " which", "probability": 0.314453125}, {"start": 802.88, "end": 802.88, "word": " is", "probability": 0.6533203125}, {"start": 802.88, "end": 803.38, "word": " 37", "probability": 0.865234375}, {"start": 803.38, "end": 806.12, "word": " degrees", "probability": 0.84716796875}, {"start": 806.12, "end": 806.44, "word": " if", "probability": 0.1602783203125}, {"start": 806.44, "end": 806.8, "word": " we", "probability": 0.88623046875}, {"start": 806.8, "end": 807.18, "word": " change", "probability": 0.814453125}, {"start": 807.18, "end": 807.8, "word": " the", "probability": 0.70361328125}, {"start": 807.8, "end": 808.12, "word": " values,", "probability": 0.69189453125}, {"start": 809.94, "end": 810.2, "word": " this", "probability": 0.52734375}, {"start": 810.2, "end": 810.2, "word": " is", "probability": 0.61767578125}, {"start": 810.2, "end": 810.62, "word": " 6", "probability": 0.81982421875}, {"start": 810.62, "end": 810.94, "word": " prism,", "probability": 0.927001953125}, {"start": 811.06, "end": 811.1, "word": " we", "probability": 0.54345703125}, {"start": 811.1, "end": 811.36, "word": " leave", "probability": 0.35400390625}, {"start": 811.36, "end": 811.68, "word": " this", "probability": 0.69140625}, {"start": 811.68, "end": 811.98, "word": " 8", "probability": 0.8212890625}], "temperature": 1.0}, {"id": 31, "seek": 84320, "start": 815.08, "end": 843.2, "text": "The angle between them became 45 degrees, that is, away from this value which is 45 degrees, and away from this value which is 45 degrees, which means it is in the middle because their forces are exactly equal and the obtained prism is 8 prisms, 8 prisms, why? Because the square root .. the square root .. the square root ..", "tokens": [2278, 5802, 1296, 552, 3062, 6905, 5310, 11, 300, 307, 11, 1314, 490, 341, 2158, 597, 307, 6905, 5310, 11, 293, 1314, 490, 341, 2158, 597, 307, 6905, 5310, 11, 597, 1355, 309, 307, 294, 264, 2808, 570, 641, 5874, 366, 2293, 2681, 293, 264, 14879, 582, 1434, 307, 1649, 582, 13539, 11, 1649, 582, 13539, 11, 983, 30, 1436, 264, 3732, 5593, 4386, 264, 3732, 5593, 4386, 264, 3732, 5593, 4386], "avg_logprob": -0.47988014351831726, "compression_ratio": 1.9578313253012047, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 815.08, "end": 815.64, "word": "The", "probability": 0.216552734375}, {"start": 815.64, "end": 815.94, "word": " angle", "probability": 0.7744140625}, {"start": 815.94, "end": 816.16, "word": " between", "probability": 0.69287109375}, {"start": 816.16, "end": 816.28, "word": " them", "probability": 0.82275390625}, {"start": 816.28, "end": 816.28, "word": " became", "probability": 0.6103515625}, {"start": 816.28, "end": 816.88, "word": " 45", "probability": 0.9609375}, {"start": 816.88, "end": 817.3, "word": " degrees,", "probability": 0.63720703125}, {"start": 817.44, "end": 817.54, "word": " that", "probability": 0.1552734375}, {"start": 817.54, "end": 817.54, "word": " is,", "probability": 0.72216796875}, {"start": 817.68, "end": 817.68, "word": " away", "probability": 0.5517578125}, {"start": 817.68, "end": 818.02, "word": " from", "probability": 0.880859375}, {"start": 818.02, "end": 818.46, "word": " this", "probability": 0.849609375}, {"start": 818.46, "end": 818.88, "word": " value", "probability": 0.9306640625}, {"start": 818.88, "end": 819.02, "word": " which", "probability": 0.279541015625}, {"start": 819.02, "end": 819.02, "word": " is", "probability": 0.8974609375}, {"start": 819.02, "end": 819.56, "word": " 45", "probability": 0.95849609375}, {"start": 819.56, "end": 820.06, "word": " degrees,", "probability": 0.9208984375}, {"start": 820.16, "end": 820.24, "word": " and", "probability": 0.7685546875}, {"start": 820.24, "end": 820.34, "word": " away", "probability": 0.529296875}, {"start": 820.34, "end": 820.42, "word": " from", "probability": 0.88232421875}, {"start": 820.42, "end": 820.66, "word": " this", "probability": 0.8759765625}, {"start": 820.66, "end": 821.02, "word": " value", "probability": 0.96826171875}, {"start": 821.02, "end": 821.3, "word": " which", "probability": 0.79150390625}, {"start": 821.3, "end": 821.3, "word": " is", "probability": 0.943359375}, {"start": 821.3, "end": 822.0, "word": " 45", "probability": 0.935546875}, {"start": 822.0, "end": 822.54, "word": " degrees,", "probability": 0.939453125}, {"start": 822.66, "end": 822.82, "word": " which", "probability": 0.2059326171875}, {"start": 822.82, "end": 822.82, "word": " means", "probability": 0.5224609375}, {"start": 822.82, "end": 822.88, "word": " it", "probability": 0.365234375}, {"start": 822.88, "end": 822.88, "word": " is", "probability": 0.406494140625}, {"start": 822.88, "end": 823.06, "word": " in", "probability": 0.212646484375}, {"start": 823.06, "end": 823.22, "word": " the", "probability": 0.7041015625}, {"start": 823.22, "end": 823.36, "word": " middle", "probability": 0.927734375}, {"start": 823.36, "end": 823.58, "word": " because", "probability": 0.73974609375}, {"start": 823.58, "end": 823.78, "word": " their", "probability": 0.88330078125}, {"start": 823.78, "end": 824.06, "word": " forces", "probability": 0.58251953125}, {"start": 824.06, "end": 824.36, "word": " are", "probability": 0.92236328125}, {"start": 824.36, "end": 824.58, "word": " exactly", "probability": 0.334716796875}, {"start": 824.58, "end": 824.98, "word": " equal", "probability": 0.623046875}, {"start": 824.98, "end": 826.18, "word": " and", "probability": 0.274658203125}, {"start": 826.18, "end": 826.5, "word": " the", "probability": 0.86474609375}, {"start": 826.5, "end": 827.34, "word": " obtained", "probability": 0.32421875}, {"start": 827.34, "end": 827.42, "word": " prism", "probability": 0.668701171875}, {"start": 827.42, "end": 827.64, "word": " is", "probability": 0.83740234375}, {"start": 827.64, "end": 828.14, "word": " 8", "probability": 0.529296875}, {"start": 828.14, "end": 828.74, "word": " prisms,", "probability": 0.657958984375}, {"start": 828.82, "end": 829.14, "word": " 8", "probability": 0.84716796875}, {"start": 829.14, "end": 829.82, "word": " prisms,", "probability": 0.931884765625}, {"start": 829.9, "end": 830.16, "word": " why?", "probability": 0.8701171875}, {"start": 830.48, "end": 830.86, "word": " Because", "probability": 0.65478515625}, {"start": 830.86, "end": 831.48, "word": " the", "probability": 0.8212890625}, {"start": 831.48, "end": 831.78, "word": " square", "probability": 0.41943359375}, {"start": 831.78, "end": 831.78, "word": " root", "probability": 0.93115234375}, {"start": 831.78, "end": 832.58, "word": " ..", "probability": 0.55517578125}, {"start": 832.58, "end": 832.86, "word": " the", "probability": 0.62744140625}, {"start": 832.86, "end": 833.52, "word": " square", "probability": 0.89208984375}, {"start": 833.52, "end": 833.66, "word": " root", "probability": 0.89794921875}, {"start": 833.66, "end": 839.66, "word": " ..", "probability": 0.83642578125}, {"start": 839.66, "end": 841.96, "word": " the", "probability": 0.779296875}, {"start": 841.96, "end": 842.18, "word": " square", "probability": 0.89794921875}, {"start": 842.18, "end": 842.3, "word": " root", "probability": 0.9111328125}, {"start": 842.3, "end": 843.2, "word": " ..", "probability": 0.88330078125}], "temperature": 1.0}, {"id": 32, "seek": 86715, "start": 844.41, "end": 867.15, "text": "لا التمانية تربيع زائد أيضا تمانية تربيع يساوي", "tokens": [15040, 16712, 2304, 7649, 10632, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 36632, 11242, 995, 46811, 7649, 10632, 6055, 2288, 21292, 3615, 7251, 3794, 995, 45865], "avg_logprob": -0.19950809522911353, "compression_ratio": 1.2686567164179106, "no_speech_prob": 0.0, "words": [{"start": 844.41, "end": 844.83, "word": "لا", "probability": 0.1898193359375}, {"start": 844.83, "end": 849.85, "word": " التمانية", "probability": 0.8184814453125}, {"start": 849.85, "end": 851.43, "word": " تربيع", "probability": 0.82879638671875}, {"start": 851.43, "end": 856.39, "word": " زائد", "probability": 0.9049479166666666}, {"start": 856.39, "end": 859.73, "word": " أيضا", "probability": 0.84033203125}, {"start": 859.73, "end": 860.19, "word": " تمانية", "probability": 0.9645182291666666}, {"start": 860.19, "end": 863.17, "word": " تربيع", "probability": 0.8819580078125}, {"start": 863.17, "end": 867.15, "word": " يساوي", "probability": 0.964111328125}], "temperature": 1.0}, {"id": 33, "seek": 89970, "start": 870.66, "end": 899.7, "text": "eleven and three out of ten, let's see in the vector addition how much is the total that I have eleven and three out of ten, eleven and three out of ten, that is eight on the vertical axis and eight on the horizontal axis will give me base, base for example up and out, base up and out, okay if I want one towards base in and", "tokens": [16884, 553, 293, 1045, 484, 295, 2064, 11, 718, 311, 536, 294, 264, 8062, 4500, 577, 709, 307, 264, 3217, 300, 286, 362, 21090, 293, 1045, 484, 295, 2064, 11, 21090, 293, 1045, 484, 295, 2064, 11, 300, 307, 3180, 322, 264, 9429, 10298, 293, 3180, 322, 264, 12750, 10298, 486, 976, 385, 3096, 11, 3096, 337, 1365, 493, 293, 484, 11, 3096, 493, 293, 484, 11, 1392, 498, 286, 528, 472, 3030, 3096, 294, 293], "avg_logprob": -0.4204545593880988, "compression_ratio": 1.911764705882353, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 870.66, "end": 871.2, "word": "eleven", "probability": 0.623046875}, {"start": 871.2, "end": 871.42, "word": " and", "probability": 0.74658203125}, {"start": 871.42, "end": 871.68, "word": " three", "probability": 0.7119140625}, {"start": 871.68, "end": 871.9, "word": " out", "probability": 0.481689453125}, {"start": 871.9, "end": 871.9, "word": " of", "probability": 0.9775390625}, {"start": 871.9, "end": 872.18, "word": " ten,", "probability": 0.92822265625}, {"start": 872.26, "end": 872.38, "word": " let's", "probability": 0.72216796875}, {"start": 872.38, "end": 872.56, "word": " see", "probability": 0.69189453125}, {"start": 872.56, "end": 872.68, "word": " in", "probability": 0.51953125}, {"start": 872.68, "end": 872.76, "word": " the", "probability": 0.70654296875}, {"start": 872.76, "end": 873.04, "word": " vector", "probability": 0.90478515625}, {"start": 873.04, "end": 873.6, "word": " addition", "probability": 0.86865234375}, {"start": 873.6, "end": 873.78, "word": " how", "probability": 0.68310546875}, {"start": 873.78, "end": 874.1, "word": " much", "probability": 0.72216796875}, {"start": 874.1, "end": 874.2, "word": " is", "probability": 0.30419921875}, {"start": 874.2, "end": 874.34, "word": " the", "probability": 0.72607421875}, {"start": 874.34, "end": 874.84, "word": " total", "probability": 0.8359375}, {"start": 874.84, "end": 875.04, "word": " that", "probability": 0.25634765625}, {"start": 875.04, "end": 875.18, "word": " I", "probability": 0.6630859375}, {"start": 875.18, "end": 875.44, "word": " have", "probability": 0.34375}, {"start": 875.44, "end": 877.08, "word": " eleven", "probability": 0.5009765625}, {"start": 877.08, "end": 877.62, "word": " and", "probability": 0.8994140625}, {"start": 877.62, "end": 877.96, "word": " three", "probability": 0.939453125}, {"start": 877.96, "end": 878.5, "word": " out", "probability": 0.79931640625}, {"start": 878.5, "end": 878.52, "word": " of", "probability": 0.97412109375}, {"start": 878.52, "end": 878.7, "word": " ten,", "probability": 0.92626953125}, {"start": 878.76, "end": 879.0, "word": " eleven", "probability": 0.705078125}, {"start": 879.0, "end": 879.28, "word": " and", "probability": 0.93505859375}, {"start": 879.28, "end": 879.5, "word": " three", "probability": 0.93798828125}, {"start": 879.5, "end": 879.7, "word": " out", "probability": 0.88134765625}, {"start": 879.7, "end": 879.7, "word": " of", "probability": 0.97412109375}, {"start": 879.7, "end": 879.82, "word": " ten,", "probability": 0.9287109375}, {"start": 879.88, "end": 880.04, "word": " that", "probability": 0.29248046875}, {"start": 880.04, "end": 880.04, "word": " is", "probability": 0.61328125}, {"start": 880.04, "end": 880.54, "word": " eight", "probability": 0.7724609375}, {"start": 880.54, "end": 881.76, "word": " on", "probability": 0.728515625}, {"start": 881.76, "end": 881.86, "word": " the", "probability": 0.87255859375}, {"start": 881.86, "end": 882.46, "word": " vertical", "probability": 0.66796875}, {"start": 882.46, "end": 882.46, "word": " axis", "probability": 0.982421875}, {"start": 882.46, "end": 882.72, "word": " and", "probability": 0.51708984375}, {"start": 882.72, "end": 883.0, "word": " eight", "probability": 0.876953125}, {"start": 883.0, "end": 883.22, "word": " on", "probability": 0.931640625}, {"start": 883.22, "end": 883.68, "word": " the", "probability": 0.91796875}, {"start": 883.68, "end": 883.94, "word": " horizontal", "probability": 0.693359375}, {"start": 883.94, "end": 884.0, "word": " axis", "probability": 0.96875}, {"start": 884.0, "end": 884.24, "word": " will", "probability": 0.1163330078125}, {"start": 884.24, "end": 884.5, "word": " give", "probability": 0.87158203125}, {"start": 884.5, "end": 885.18, "word": " me", "probability": 0.931640625}, {"start": 885.18, "end": 885.68, "word": " base,", "probability": 0.49462890625}, {"start": 886.4, "end": 886.8, "word": " base", "probability": 0.460205078125}, {"start": 886.8, "end": 886.94, "word": " for", "probability": 0.60498046875}, {"start": 886.94, "end": 887.26, "word": " example", "probability": 0.93359375}, {"start": 887.26, "end": 887.72, "word": " up", "probability": 0.85595703125}, {"start": 887.72, "end": 888.22, "word": " and", "probability": 0.96142578125}, {"start": 888.22, "end": 889.66, "word": " out,", "probability": 0.87109375}, {"start": 889.98, "end": 890.26, "word": " base", "probability": 0.87158203125}, {"start": 890.26, "end": 890.6, "word": " up", "probability": 0.94873046875}, {"start": 890.6, "end": 890.98, "word": " and", "probability": 0.9501953125}, {"start": 890.98, "end": 891.48, "word": " out,", "probability": 0.9013671875}, {"start": 891.68, "end": 891.92, "word": " okay", "probability": 0.458740234375}, {"start": 891.92, "end": 892.34, "word": " if", "probability": 0.65380859375}, {"start": 892.34, "end": 892.66, "word": " I", "probability": 0.98095703125}, {"start": 892.66, "end": 892.98, "word": " want", "probability": 0.83203125}, {"start": 892.98, "end": 894.56, "word": " one", "probability": 0.80908203125}, {"start": 894.56, "end": 895.0, "word": " towards", "probability": 0.1602783203125}, {"start": 895.0, "end": 895.64, "word": " base", "probability": 0.82373046875}, {"start": 895.64, "end": 897.86, "word": " in", "probability": 0.344482421875}, {"start": 897.86, "end": 899.7, "word": " and", "probability": 0.78271484375}], "temperature": 1.0}, {"id": 34, "seek": 93180, "start": 902.66, "end": 931.8, "text": "If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the .. If there is a field to move the", "tokens": [8031, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264, 4386, 759, 456, 307, 257, 2519, 281, 1286, 264], "avg_logprob": -0.14305555131700304, "compression_ratio": 17.42, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 902.66, "end": 902.92, "word": "If", "probability": 0.255859375}, {"start": 902.92, "end": 903.32, "word": " there", "probability": 0.65673828125}, {"start": 903.32, "end": 903.32, "word": " is", "probability": 0.5693359375}, {"start": 903.32, "end": 903.72, "word": " a", "probability": 0.73779296875}, {"start": 903.72, "end": 903.72, "word": " field", "probability": 0.048614501953125}, {"start": 903.72, "end": 903.92, "word": " to", "probability": 0.256103515625}, {"start": 903.92, "end": 904.26, "word": " move", "probability": 0.57958984375}, {"start": 904.26, "end": 904.54, "word": " the", "probability": 0.31103515625}, {"start": 904.54, "end": 908.02, "word": " ..", "probability": 0.07745361328125}, {"start": 908.02, "end": 908.64, "word": " If", "probability": 0.10125732421875}, {"start": 908.64, "end": 908.76, "word": " there", "probability": 0.376708984375}, {"start": 908.76, "end": 908.76, "word": " is", "probability": 0.88037109375}, {"start": 908.76, "end": 908.88, "word": " a", "probability": 0.9140625}, {"start": 908.88, "end": 908.98, "word": " field", "probability": 0.81982421875}, {"start": 908.98, "end": 908.98, "word": " to", "probability": 0.9208984375}, {"start": 908.98, "end": 908.98, "word": " move", "probability": 0.92919921875}, {"start": 908.98, "end": 908.98, "word": " the", "probability": 0.744140625}, {"start": 908.98, "end": 908.98, "word": " ..", "probability": 0.72802734375}, {"start": 908.98, "end": 908.98, "word": " If", "probability": 0.392822265625}, {"start": 908.98, "end": 908.98, "word": " there", "probability": 0.85498046875}, {"start": 908.98, "end": 908.98, "word": " is", "probability": 0.93505859375}, {"start": 908.98, "end": 908.98, "word": " a", "probability": 0.98046875}, {"start": 908.98, "end": 908.98, "word": " field", "probability": 0.91943359375}, {"start": 908.98, "end": 908.98, "word": " to", "probability": 0.97119140625}, {"start": 908.98, "end": 908.98, "word": " move", "probability": 0.9482421875}, {"start": 908.98, "end": 908.98, "word": " the", "probability": 0.89501953125}, {"start": 908.98, "end": 908.98, "word": " ..", "probability": 0.84521484375}, {"start": 908.98, "end": 908.98, "word": " If", "probability": 0.412109375}, {"start": 908.98, "end": 908.98, "word": " there", "probability": 0.87841796875}, {"start": 908.98, "end": 908.98, "word": " is", "probability": 0.935546875}, {"start": 908.98, "end": 908.98, "word": " a", "probability": 0.97998046875}, {"start": 908.98, "end": 908.98, "word": " field", "probability": 0.92138671875}, {"start": 908.98, "end": 908.98, "word": " to", "probability": 0.96728515625}, {"start": 908.98, "end": 908.98, "word": " move", "probability": 0.951171875}, {"start": 908.98, "end": 908.98, "word": " the", "probability": 0.9033203125}, {"start": 908.98, "end": 908.98, "word": " ..", "probability": 0.810546875}, {"start": 908.98, "end": 908.98, "word": " If", "probability": 0.5361328125}, {"start": 908.98, "end": 908.98, "word": " there", "probability": 0.904296875}, {"start": 908.98, "end": 908.98, "word": " is", "probability": 0.939453125}, {"start": 908.98, "end": 909.02, "word": " a", "probability": 0.9853515625}, {"start": 909.02, "end": 909.02, "word": " field", "probability": 0.919921875}, {"start": 909.02, "end": 909.3, "word": " to", "probability": 0.9599609375}, {"start": 909.3, "end": 909.3, "word": " move", "probability": 0.9521484375}, {"start": 909.3, "end": 909.3, "word": " the", "probability": 0.90478515625}, {"start": 909.3, "end": 909.3, "word": " ..", "probability": 0.79931640625}, {"start": 909.3, "end": 909.3, "word": " If", "probability": 0.66943359375}, {"start": 909.3, "end": 909.3, "word": " there", "probability": 0.908203125}, {"start": 909.3, "end": 909.3, "word": " is", "probability": 0.94140625}, {"start": 909.3, "end": 909.3, "word": " a", "probability": 0.98876953125}, {"start": 909.3, "end": 909.3, "word": " field", "probability": 0.9208984375}, {"start": 909.3, "end": 909.62, "word": " to", "probability": 0.9609375}, {"start": 909.62, "end": 909.62, "word": " move", "probability": 0.95458984375}, {"start": 909.62, "end": 909.62, "word": " the", "probability": 0.90771484375}, {"start": 909.62, "end": 909.62, "word": " ..", "probability": 0.8203125}, {"start": 909.62, "end": 909.62, "word": " If", "probability": 0.76025390625}, {"start": 909.62, "end": 909.62, "word": " there", "probability": 0.908203125}, {"start": 909.62, "end": 909.62, "word": " is", "probability": 0.94384765625}, {"start": 909.62, "end": 909.62, "word": " a", "probability": 0.9912109375}, {"start": 909.62, "end": 909.62, "word": " field", "probability": 0.91943359375}, {"start": 909.62, "end": 909.64, "word": " to", "probability": 0.96533203125}, {"start": 909.64, "end": 909.64, "word": " move", "probability": 0.9560546875}, {"start": 909.64, "end": 909.74, "word": " the", "probability": 0.9130859375}, {"start": 909.74, "end": 910.0, "word": " ..", "probability": 0.85400390625}, {"start": 910.0, "end": 910.0, "word": " If", "probability": 0.8095703125}, {"start": 910.0, "end": 910.0, "word": " there", "probability": 0.90966796875}, {"start": 910.0, "end": 910.0, "word": " is", "probability": 0.94384765625}, {"start": 910.0, "end": 910.0, "word": " a", "probability": 0.99267578125}, {"start": 910.0, "end": 910.0, "word": " field", "probability": 0.91845703125}, {"start": 910.0, "end": 910.0, "word": " to", "probability": 0.96875}, {"start": 910.0, "end": 910.0, "word": " move", "probability": 0.95703125}, {"start": 910.0, "end": 910.0, "word": " the", "probability": 0.91796875}, {"start": 910.0, "end": 910.04, "word": " ..", "probability": 0.88671875}, {"start": 910.04, "end": 910.44, "word": " If", "probability": 0.837890625}, {"start": 910.44, "end": 910.68, "word": " there", "probability": 0.91015625}, {"start": 910.68, "end": 910.68, "word": " is", "probability": 0.94482421875}, {"start": 910.68, "end": 910.88, "word": " a", "probability": 0.99365234375}, {"start": 910.88, "end": 910.88, "word": " field", "probability": 0.9169921875}, {"start": 910.88, "end": 911.14, "word": " to", "probability": 0.97119140625}, {"start": 911.14, "end": 911.14, "word": " move", "probability": 0.95751953125}, {"start": 911.14, "end": 911.14, "word": " the", "probability": 0.92138671875}, {"start": 911.14, "end": 911.14, "word": " ..", "probability": 0.9130859375}, {"start": 911.14, "end": 911.14, "word": " If", "probability": 0.853515625}, {"start": 911.14, "end": 911.14, "word": " there", "probability": 0.90869140625}, {"start": 911.14, "end": 911.14, "word": " is", "probability": 0.9443359375}, {"start": 911.14, "end": 911.14, "word": " a", "probability": 0.9951171875}, {"start": 911.14, "end": 911.14, "word": " field", "probability": 0.91650390625}, {"start": 911.14, "end": 911.16, "word": " to", "probability": 0.97216796875}, {"start": 911.16, "end": 911.16, "word": " move", "probability": 0.9580078125}, {"start": 911.16, "end": 911.16, "word": " the", "probability": 0.9228515625}, {"start": 911.16, "end": 911.3, "word": " ..", "probability": 0.9326171875}, {"start": 911.3, "end": 911.3, "word": " If", "probability": 0.86376953125}, {"start": 911.3, "end": 911.3, "word": " there", "probability": 0.9091796875}, {"start": 911.3, "end": 911.3, "word": " is", "probability": 0.9462890625}, {"start": 911.3, "end": 911.3, "word": " a", "probability": 0.99560546875}, {"start": 911.3, "end": 911.3, "word": " field", "probability": 0.91552734375}, {"start": 911.3, "end": 911.3, "word": " to", "probability": 0.9736328125}, {"start": 911.3, "end": 911.3, "word": " move", "probability": 0.95751953125}, {"start": 911.3, "end": 911.3, "word": " the", "probability": 0.92431640625}, {"start": 911.3, "end": 911.4, "word": " ..", "probability": 0.94677734375}, {"start": 911.4, "end": 911.4, "word": " If", "probability": 0.87255859375}, {"start": 911.4, "end": 911.4, "word": " there", "probability": 0.912109375}, {"start": 911.4, "end": 911.4, "word": " is", "probability": 0.94677734375}, {"start": 911.4, "end": 911.4, "word": " a", "probability": 0.99658203125}, {"start": 911.4, "end": 911.4, "word": " field", "probability": 0.91357421875}, {"start": 911.4, "end": 911.4, "word": " to", "probability": 0.97412109375}, {"start": 911.4, "end": 911.4, "word": " move", "probability": 0.95703125}, {"start": 911.4, "end": 911.4, "word": " the", "probability": 0.92724609375}, {"start": 911.4, "end": 911.4, "word": " ..", "probability": 0.9560546875}, {"start": 911.4, "end": 911.4, "word": " If", "probability": 0.87939453125}, {"start": 911.4, "end": 911.4, "word": " there", "probability": 0.912109375}, {"start": 911.4, "end": 911.4, "word": " is", "probability": 0.947265625}, {"start": 911.4, "end": 911.4, "word": " a", "probability": 0.9970703125}, {"start": 911.4, "end": 911.4, "word": " field", "probability": 0.9130859375}, {"start": 911.4, "end": 911.4, "word": " to", "probability": 0.9736328125}, {"start": 911.4, "end": 911.4, "word": " move", "probability": 0.95751953125}, {"start": 911.4, "end": 911.4, "word": " the", "probability": 0.92578125}, {"start": 911.4, "end": 911.4, "word": " ..", "probability": 0.9619140625}, {"start": 911.4, "end": 911.4, "word": " If", "probability": 0.88525390625}, {"start": 911.4, "end": 911.4, "word": " there", "probability": 0.912109375}, {"start": 911.4, "end": 911.4, "word": " is", "probability": 0.947265625}, {"start": 911.4, "end": 911.4, "word": " a", "probability": 0.99755859375}, {"start": 911.4, "end": 911.4, "word": " field", "probability": 0.9111328125}, {"start": 911.4, "end": 911.4, "word": " to", "probability": 0.97412109375}, {"start": 911.4, "end": 911.4, "word": " move", "probability": 0.95654296875}, {"start": 911.4, "end": 911.4, "word": " the", "probability": 0.92822265625}, {"start": 911.4, "end": 911.42, "word": " ..", "probability": 0.9658203125}, {"start": 911.42, "end": 911.42, "word": " If", "probability": 0.890625}, {"start": 911.42, "end": 911.42, "word": " there", "probability": 0.91259765625}, {"start": 911.42, "end": 911.42, "word": " is", "probability": 0.94775390625}, {"start": 911.42, "end": 911.42, "word": " a", "probability": 0.99755859375}, {"start": 911.42, "end": 911.42, "word": " field", "probability": 0.90966796875}, {"start": 911.42, "end": 911.42, "word": " to", "probability": 0.97412109375}, {"start": 911.42, "end": 911.42, "word": " move", "probability": 0.9580078125}, {"start": 911.42, "end": 911.42, "word": " the", "probability": 0.92724609375}, {"start": 911.42, "end": 911.42, "word": " ..", "probability": 0.96875}, {"start": 911.42, "end": 911.42, "word": " If", "probability": 0.89404296875}, {"start": 911.42, "end": 911.42, "word": " there", "probability": 0.91259765625}, {"start": 911.42, "end": 911.42, "word": " is", "probability": 0.94775390625}, {"start": 911.42, "end": 911.42, "word": " a", "probability": 0.998046875}, {"start": 911.42, "end": 911.42, "word": " field", "probability": 0.90869140625}, {"start": 911.42, "end": 911.42, "word": " to", "probability": 0.97412109375}, {"start": 911.42, "end": 911.42, "word": " move", "probability": 0.95703125}, {"start": 911.42, "end": 911.42, "word": " the", "probability": 0.927734375}, {"start": 911.42, "end": 911.42, "word": " ..", "probability": 0.97119140625}, {"start": 911.42, "end": 911.42, "word": " If", "probability": 0.89697265625}, {"start": 911.42, "end": 911.42, "word": " there", "probability": 0.91259765625}, {"start": 911.42, "end": 911.42, "word": " is", "probability": 0.94921875}, {"start": 911.42, "end": 911.42, "word": " a", "probability": 0.99853515625}, {"start": 911.42, "end": 911.42, "word": " field", "probability": 0.90771484375}, {"start": 911.42, "end": 911.42, "word": " to", "probability": 0.97412109375}, {"start": 911.42, "end": 911.42, "word": " move", "probability": 0.95654296875}, {"start": 911.42, "end": 911.42, "word": " the", "probability": 0.9287109375}, {"start": 911.42, "end": 911.42, "word": " ..", "probability": 0.97265625}, {"start": 911.42, "end": 911.42, "word": " If", "probability": 0.89501953125}, {"start": 911.42, "end": 911.42, "word": " there", "probability": 0.91259765625}, {"start": 911.42, "end": 911.42, "word": " is", "probability": 0.94775390625}, {"start": 911.42, "end": 911.42, "word": " a", "probability": 0.99853515625}, {"start": 911.42, "end": 911.42, "word": " field", "probability": 0.90625}, {"start": 911.42, "end": 911.42, "word": " to", "probability": 0.97412109375}, {"start": 911.42, "end": 911.42, "word": " move", "probability": 0.95654296875}, {"start": 911.42, "end": 911.42, "word": " the", "probability": 0.9287109375}, {"start": 911.42, "end": 911.42, "word": " ..", "probability": 0.97314453125}, {"start": 911.42, "end": 911.42, "word": " If", "probability": 0.8984375}, {"start": 911.42, "end": 911.42, "word": " there", "probability": 0.91259765625}, {"start": 911.42, "end": 911.42, "word": " is", "probability": 0.94921875}, {"start": 911.42, "end": 911.42, "word": " a", "probability": 0.99853515625}, {"start": 911.42, "end": 911.42, "word": " field", "probability": 0.90576171875}, {"start": 911.42, "end": 911.42, "word": " to", "probability": 0.9736328125}, {"start": 911.42, "end": 911.42, "word": " move", "probability": 0.955078125}, {"start": 911.42, "end": 911.42, "word": " the", "probability": 0.9267578125}, {"start": 911.42, "end": 911.42, "word": " ..", "probability": 0.974609375}, {"start": 911.42, "end": 911.56, "word": " If", "probability": 0.89990234375}, {"start": 911.56, "end": 911.56, "word": " there", "probability": 0.91259765625}, {"start": 911.56, "end": 911.56, "word": " is", "probability": 0.94775390625}, {"start": 911.56, "end": 911.56, "word": " a", "probability": 0.9990234375}, {"start": 911.56, "end": 911.56, "word": " field", "probability": 0.90576171875}, {"start": 911.56, "end": 911.56, "word": " to", "probability": 0.9736328125}, {"start": 911.56, "end": 911.56, "word": " move", "probability": 0.95556640625}, {"start": 911.56, "end": 911.56, "word": " the", "probability": 0.92724609375}, {"start": 911.56, "end": 911.56, "word": " ..", "probability": 0.97509765625}, {"start": 911.56, "end": 911.56, "word": " If", "probability": 0.9052734375}, {"start": 911.56, "end": 911.56, "word": " there", "probability": 0.91259765625}, {"start": 911.56, "end": 911.56, "word": " is", "probability": 0.94921875}, {"start": 911.56, "end": 911.56, "word": " a", "probability": 0.9990234375}, {"start": 911.56, "end": 911.56, "word": " field", "probability": 0.90380859375}, {"start": 911.56, "end": 911.56, "word": " to", "probability": 0.9736328125}, {"start": 911.56, "end": 911.56, "word": " move", "probability": 0.955078125}, {"start": 911.56, "end": 911.56, "word": " the", "probability": 0.92822265625}, {"start": 911.56, "end": 911.56, "word": " ..", "probability": 0.97607421875}, {"start": 911.56, "end": 912.5, "word": " If", "probability": 0.91015625}, {"start": 912.5, "end": 913.18, "word": " there", "probability": 0.91259765625}, {"start": 913.18, "end": 913.22, "word": " is", "probability": 0.94921875}, {"start": 913.22, "end": 913.28, "word": " a", "probability": 0.9990234375}, {"start": 913.28, "end": 913.5, "word": " field", "probability": 0.9033203125}, {"start": 913.5, "end": 913.98, "word": " to", "probability": 0.9736328125}, {"start": 913.98, "end": 914.44, "word": " move", "probability": 0.95458984375}, {"start": 914.44, "end": 914.44, "word": " the", "probability": 0.92919921875}, {"start": 914.44, "end": 914.44, "word": " ..", "probability": 0.9765625}, {"start": 914.44, "end": 920.12, "word": " If", "probability": 0.91259765625}, {"start": 920.12, "end": 921.52, "word": " there", "probability": 0.9150390625}, {"start": 921.52, "end": 921.58, "word": " is", "probability": 0.94921875}, {"start": 921.58, "end": 921.62, "word": " a", "probability": 0.9990234375}, {"start": 921.62, "end": 921.62, "word": " field", "probability": 0.90234375}, {"start": 921.62, "end": 921.62, "word": " to", "probability": 0.9736328125}, {"start": 921.62, "end": 922.04, "word": " move", "probability": 0.95361328125}, {"start": 922.04, "end": 922.14, "word": " the", "probability": 0.92919921875}, {"start": 922.14, "end": 922.74, "word": " ..", "probability": 0.97607421875}, {"start": 922.74, "end": 922.98, "word": " If", "probability": 0.91650390625}, {"start": 922.98, "end": 924.52, "word": " there", "probability": 0.91455078125}, {"start": 924.52, "end": 924.52, "word": " is", "probability": 0.94921875}, {"start": 924.52, "end": 924.74, "word": " a", "probability": 0.9990234375}, {"start": 924.74, "end": 924.74, "word": " field", "probability": 0.90087890625}, {"start": 924.74, "end": 925.1, "word": " to", "probability": 0.97412109375}, {"start": 925.1, "end": 925.1, "word": " move", "probability": 0.95361328125}, {"start": 925.1, "end": 925.64, "word": " the", "probability": 0.9296875}, {"start": 925.64, "end": 925.64, "word": " ..", "probability": 0.974609375}, {"start": 925.64, "end": 931.26, "word": " If", "probability": 0.9208984375}, {"start": 931.26, "end": 931.68, "word": " there", "probability": 0.91259765625}, {"start": 931.68, "end": 931.7, "word": " is", "probability": 0.94873046875}, {"start": 931.7, "end": 931.72, "word": " a", "probability": 0.9990234375}, {"start": 931.72, "end": 931.74, "word": " field", "probability": 0.89892578125}, {"start": 931.74, "end": 931.76, "word": " to", "probability": 0.97412109375}, {"start": 931.76, "end": 931.78, "word": " move", "probability": 0.95361328125}, {"start": 931.78, "end": 931.8, "word": " the", "probability": 0.9296875}], "temperature": 1.0}, {"id": 35, "seek": 94733, "start": 932.19, "end": 947.33, "text": "up and in means between two prisms, between two prisms it will be present, so vector combines information about magnitude and direction, I want to see how much is the magnitude of the prism", "tokens": [1010, 293, 294, 1355, 1296, 732, 582, 13539, 11, 1296, 732, 582, 13539, 309, 486, 312, 1974, 11, 370, 8062, 29520, 1589, 466, 15668, 293, 3513, 11, 286, 528, 281, 536, 577, 709, 307, 264, 15668, 295, 264, 582, 1434], "avg_logprob": -0.5285823054429961, "compression_ratio": 1.5365853658536586, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 932.19, "end": 932.95, "word": "up", "probability": 0.76953125}, {"start": 932.95, "end": 933.51, "word": " and", "probability": 0.7978515625}, {"start": 933.51, "end": 934.01, "word": " in", "probability": 0.423828125}, {"start": 934.01, "end": 934.29, "word": " means", "probability": 0.2373046875}, {"start": 934.29, "end": 936.53, "word": " between", "probability": 0.447509765625}, {"start": 936.53, "end": 936.75, "word": " two", "probability": 0.365966796875}, {"start": 936.75, "end": 937.13, "word": " prisms,", "probability": 0.85009765625}, {"start": 937.23, "end": 937.53, "word": " between", "probability": 0.326416015625}, {"start": 937.53, "end": 937.71, "word": " two", "probability": 0.84375}, {"start": 937.71, "end": 938.09, "word": " prisms", "probability": 0.952392578125}, {"start": 938.09, "end": 938.35, "word": " it", "probability": 0.254150390625}, {"start": 938.35, "end": 938.37, "word": " will", "probability": 0.69482421875}, {"start": 938.37, "end": 938.67, "word": " be", "probability": 0.61669921875}, {"start": 938.67, "end": 939.77, "word": " present,", "probability": 0.476318359375}, {"start": 939.97, "end": 940.15, "word": " so", "probability": 0.4404296875}, {"start": 940.15, "end": 941.03, "word": " vector", "probability": 0.65869140625}, {"start": 941.03, "end": 941.67, "word": " combines", "probability": 0.734375}, {"start": 941.67, "end": 942.39, "word": " information", "probability": 0.76416015625}, {"start": 942.39, "end": 942.75, "word": " about", "probability": 0.876953125}, {"start": 942.75, "end": 943.33, "word": " magnitude", "probability": 0.876953125}, {"start": 943.33, "end": 943.75, "word": " and", "probability": 0.9462890625}, {"start": 943.75, "end": 944.15, "word": " direction,", "probability": 0.9697265625}, {"start": 944.27, "end": 944.33, "word": " I", "probability": 0.853515625}, {"start": 944.33, "end": 944.41, "word": " want", "probability": 0.75048828125}, {"start": 944.41, "end": 944.53, "word": " to", "probability": 0.97216796875}, {"start": 944.53, "end": 944.65, "word": " see", "probability": 0.82958984375}, {"start": 944.65, "end": 945.63, "word": " how", "probability": 0.1954345703125}, {"start": 945.63, "end": 946.55, "word": " much", "probability": 0.62646484375}, {"start": 946.55, "end": 946.93, "word": " is", "probability": 0.15673828125}, {"start": 946.93, "end": 946.95, "word": " the", "probability": 0.80224609375}, {"start": 946.95, "end": 946.95, "word": " magnitude", "probability": 0.3154296875}, {"start": 946.95, "end": 946.95, "word": " of", "probability": 0.9423828125}, {"start": 946.95, "end": 946.99, "word": " the", "probability": 0.80126953125}, {"start": 946.99, "end": 947.33, "word": " prism", "probability": 0.92919921875}], "temperature": 1.0}, {"id": 36, "seek": 96667, "start": 948.83, "end": 966.67, "text": "means in other words, according to the theory of Featherworth, the prism is determined by its value, and the direction is not enough to say 10 prisms, or 8 prisms, or 20 prisms, which is the determined one, but I must say how much it is, this is a matter, and the second thing is how much is the direction", "tokens": [1398, 599, 294, 661, 2283, 11, 4650, 281, 264, 5261, 295, 3697, 1172, 13136, 11, 264, 582, 1434, 307, 9540, 538, 1080, 2158, 11, 293, 264, 3513, 307, 406, 1547, 281, 584, 1266, 582, 13539, 11, 420, 1649, 582, 13539, 11, 420, 945, 582, 13539, 11, 597, 307, 264, 9540, 472, 11, 457, 286, 1633, 584, 577, 709, 309, 307, 11, 341, 307, 257, 1871, 11, 293, 264, 1150, 551, 307, 577, 709, 307, 264, 3513], "avg_logprob": -0.4935064935064935, "compression_ratio": 1.7428571428571429, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 948.83, "end": 949.13, "word": "means", "probability": 0.58251953125}, {"start": 949.13, "end": 949.23, "word": " in", "probability": 0.405029296875}, {"start": 949.23, "end": 949.87, "word": " other", "probability": 0.390869140625}, {"start": 949.87, "end": 950.05, "word": " words,", "probability": 0.8193359375}, {"start": 950.29, "end": 950.83, "word": " according", "probability": 0.67138671875}, {"start": 950.83, "end": 951.03, "word": " to", "probability": 0.97119140625}, {"start": 951.03, "end": 951.03, "word": " the", "probability": 0.57080078125}, {"start": 951.03, "end": 951.27, "word": " theory", "probability": 0.47265625}, {"start": 951.27, "end": 951.41, "word": " of", "probability": 0.9521484375}, {"start": 951.41, "end": 951.91, "word": " Featherworth,", "probability": 0.45654296875}, {"start": 952.03, "end": 952.11, "word": " the", "probability": 0.775390625}, {"start": 952.11, "end": 952.39, "word": " prism", "probability": 0.6427001953125}, {"start": 952.39, "end": 952.59, "word": " is", "probability": 0.2410888671875}, {"start": 952.59, "end": 952.77, "word": " determined", "probability": 0.173828125}, {"start": 952.77, "end": 953.01, "word": " by", "probability": 0.8056640625}, {"start": 953.01, "end": 953.27, "word": " its", "probability": 0.427001953125}, {"start": 953.27, "end": 953.57, "word": " value,", "probability": 0.8916015625}, {"start": 953.79, "end": 954.19, "word": " and", "probability": 0.7978515625}, {"start": 954.19, "end": 954.31, "word": " the", "probability": 0.72705078125}, {"start": 954.31, "end": 954.79, "word": " direction", "probability": 0.9599609375}, {"start": 954.79, "end": 954.99, "word": " is", "probability": 0.5869140625}, {"start": 954.99, "end": 955.09, "word": " not", "probability": 0.9013671875}, {"start": 955.09, "end": 955.35, "word": " enough", "probability": 0.73779296875}, {"start": 955.35, "end": 955.59, "word": " to", "probability": 0.68310546875}, {"start": 955.59, "end": 955.95, "word": " say", "probability": 0.87060546875}, {"start": 955.95, "end": 956.81, "word": " 10", "probability": 0.3994140625}, {"start": 956.81, "end": 957.29, "word": " prisms,", "probability": 0.712890625}, {"start": 957.43, "end": 957.49, "word": " or", "probability": 0.72998046875}, {"start": 957.49, "end": 957.83, "word": " 8", "probability": 0.97705078125}, {"start": 957.83, "end": 958.27, "word": " prisms,", "probability": 0.89306640625}, {"start": 958.39, "end": 958.51, "word": " or", "probability": 0.9609375}, {"start": 958.51, "end": 958.89, "word": " 20", "probability": 0.955078125}, {"start": 958.89, "end": 959.27, "word": " prisms,", "probability": 0.922607421875}, {"start": 959.33, "end": 959.65, "word": " which", "probability": 0.546875}, {"start": 959.65, "end": 959.85, "word": " is", "probability": 0.75048828125}, {"start": 959.85, "end": 959.97, "word": " the", "probability": 0.60107421875}, {"start": 959.97, "end": 960.31, "word": " determined", "probability": 0.264404296875}, {"start": 960.31, "end": 960.47, "word": " one,", "probability": 0.69140625}, {"start": 960.73, "end": 960.91, "word": " but", "probability": 0.68408203125}, {"start": 960.91, "end": 961.67, "word": " I", "probability": 0.54443359375}, {"start": 961.67, "end": 962.01, "word": " must", "probability": 0.5498046875}, {"start": 962.01, "end": 962.73, "word": " say", "probability": 0.91796875}, {"start": 962.73, "end": 963.05, "word": " how", "probability": 0.6025390625}, {"start": 963.05, "end": 963.51, "word": " much", "probability": 0.830078125}, {"start": 963.51, "end": 963.77, "word": " it", "probability": 0.417724609375}, {"start": 963.77, "end": 964.05, "word": " is,", "probability": 0.71435546875}, {"start": 964.11, "end": 964.41, "word": " this", "probability": 0.58056640625}, {"start": 964.41, "end": 964.49, "word": " is", "probability": 0.91162109375}, {"start": 964.49, "end": 964.57, "word": " a", "probability": 0.2998046875}, {"start": 964.57, "end": 964.71, "word": " matter,", "probability": 0.477294921875}, {"start": 964.93, "end": 965.01, "word": " and", "probability": 0.91015625}, {"start": 965.01, "end": 965.07, "word": " the", "probability": 0.7060546875}, {"start": 965.07, "end": 965.25, "word": " second", "probability": 0.85400390625}, {"start": 965.25, "end": 965.53, "word": " thing", "probability": 0.7607421875}, {"start": 965.53, "end": 965.69, "word": " is", "probability": 0.6259765625}, {"start": 965.69, "end": 965.81, "word": " how", "probability": 0.465087890625}, {"start": 965.81, "end": 965.87, "word": " much", "probability": 0.59130859375}, {"start": 965.87, "end": 965.99, "word": " is", "probability": 0.464599609375}, {"start": 965.99, "end": 966.23, "word": " the", "probability": 0.75048828125}, {"start": 966.23, "end": 966.67, "word": " direction", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 37, "seek": 99280, "start": 967.0, "end": 992.8, "text": "واش الزاوية؟ ايش الزاوية؟ ايش الزاوية؟ هنا في ال simulation بيقدر يعطيني الزاوية بطريقة مباشرة بطريقة مباشرة هنا لو ألغينا ال sum و ألغينا الزاوية و يقولنا احنا بدنا هنا ال prism الأول بده يعمل على المحور العمودي قيمته", "tokens": [2407, 33599, 6024, 110, 995, 2407, 10632, 22807, 1975, 1829, 8592, 6024, 110, 995, 2407, 10632, 22807, 1975, 1829, 8592, 6024, 110, 995, 2407, 10632, 22807, 34105, 8978, 2423, 16575, 4724, 1829, 28543, 2288, 7251, 3615, 9566, 1829, 22653, 6024, 110, 995, 2407, 10632, 4724, 9566, 16572, 28671, 3714, 3555, 33599, 25720, 4724, 9566, 16572, 28671, 3714, 3555, 33599, 25720, 34105, 45164, 5551, 1211, 17082, 1829, 8315, 2423, 2408, 4032, 5551, 1211, 17082, 1829, 8315, 6024, 110, 995, 2407, 10632, 4032, 7251, 39648, 8315, 1975, 5016, 8315, 47525, 8315, 34105, 2423, 582, 1434, 16247, 12610, 47525, 3224, 7251, 25957, 1211, 15844, 9673, 5016, 13063, 18863, 2304, 2407, 16254, 12174, 32640, 47395], "avg_logprob": -0.14760044336851155, "compression_ratio": 2.0765027322404372, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 967.0, "end": 967.58, "word": "واش", "probability": 0.3580322265625}, {"start": 967.58, "end": 968.42, "word": " الزاوية؟", "probability": 0.8367106119791666}, {"start": 968.42, "end": 968.72, "word": " ايش", "probability": 0.6746419270833334}, {"start": 968.72, "end": 969.56, "word": " الزاوية؟", "probability": 0.964111328125}, {"start": 969.56, "end": 969.8, "word": " ايش", "probability": 0.8587239583333334}, {"start": 969.8, "end": 970.66, "word": " الزاوية؟", "probability": 0.9657389322916666}, {"start": 970.66, "end": 970.84, "word": " هنا", "probability": 0.463134765625}, {"start": 970.84, "end": 971.14, "word": " في", "probability": 0.83154296875}, {"start": 971.14, "end": 971.26, "word": " ال", "probability": 0.7802734375}, {"start": 971.26, "end": 971.72, "word": " simulation", "probability": 0.95751953125}, {"start": 971.72, "end": 972.14, "word": " بيقدر", "probability": 0.908447265625}, {"start": 972.14, "end": 972.54, "word": " يعطيني", "probability": 0.82822265625}, {"start": 972.54, "end": 973.08, "word": " الزاوية", "probability": 0.98408203125}, {"start": 973.08, "end": 975.16, "word": " بطريقة", "probability": 0.970458984375}, {"start": 975.16, "end": 976.46, "word": " مباشرة", "probability": 0.9940185546875}, {"start": 976.46, "end": 976.98, "word": " بطريقة", "probability": 0.82177734375}, {"start": 976.98, "end": 977.64, "word": " مباشرة", "probability": 0.99462890625}, {"start": 977.64, "end": 978.22, "word": " هنا", "probability": 0.62939453125}, {"start": 978.22, "end": 978.4, "word": " لو", "probability": 0.970703125}, {"start": 978.4, "end": 978.82, "word": " ألغينا", "probability": 0.93427734375}, {"start": 978.82, "end": 979.0, "word": " ال", "probability": 0.87744140625}, {"start": 979.0, "end": 979.26, "word": " sum", "probability": 0.53125}, {"start": 979.26, "end": 979.44, "word": " و", "probability": 0.95654296875}, {"start": 979.44, "end": 979.96, "word": " ألغينا", "probability": 0.98115234375}, {"start": 979.96, "end": 981.68, "word": " الزاوية", "probability": 0.9265625}, {"start": 981.68, "end": 981.84, "word": " و", "probability": 0.89208984375}, {"start": 981.84, "end": 982.22, "word": " يقولنا", "probability": 0.8359375}, {"start": 982.22, "end": 982.66, "word": " احنا", "probability": 0.9236653645833334}, {"start": 982.66, "end": 985.46, "word": " بدنا", "probability": 0.880615234375}, {"start": 985.46, "end": 985.68, "word": " هنا", "probability": 0.8974609375}, {"start": 985.68, "end": 985.8, "word": " ال", "probability": 0.79248046875}, {"start": 985.8, "end": 986.08, "word": " prism", "probability": 0.673583984375}, {"start": 986.08, "end": 986.64, "word": " الأول", "probability": 0.973876953125}, {"start": 986.64, "end": 988.88, "word": " بده", "probability": 0.751953125}, {"start": 988.88, "end": 989.24, "word": " يعمل", "probability": 0.98974609375}, {"start": 989.24, "end": 989.44, "word": " على", "probability": 0.84765625}, {"start": 989.44, "end": 990.0, "word": " المحور", "probability": 0.986328125}, {"start": 990.0, "end": 991.12, "word": " العمودي", "probability": 0.9796142578125}, {"start": 991.12, "end": 992.8, "word": " قيمته", "probability": 0.93017578125}], "temperature": 1.0}, {"id": 38, "seek": 101763, "start": 995.25, "end": 1017.63, "text": "20 prism for example and the second one is on the horizontal axis and its value is for example 10 prism we need their sum their sum by the way here the sum is impossible to change its angle", "tokens": [2009, 582, 1434, 337, 1365, 293, 264, 1150, 472, 307, 322, 264, 12750, 10298, 293, 1080, 2158, 307, 337, 1365, 1266, 582, 1434, 321, 643, 641, 2408, 641, 2408, 538, 264, 636, 510, 264, 2408, 307, 6243, 281, 1319, 1080, 5802], "avg_logprob": -0.43377975551854997, "compression_ratio": 1.56198347107438, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 995.25, "end": 995.75, "word": "20", "probability": 0.256591796875}, {"start": 995.75, "end": 996.25, "word": " prism", "probability": 0.657958984375}, {"start": 996.25, "end": 996.93, "word": " for", "probability": 0.53759765625}, {"start": 996.93, "end": 997.09, "word": " example", "probability": 0.9169921875}, {"start": 997.09, "end": 998.53, "word": " and", "probability": 0.60986328125}, {"start": 998.53, "end": 998.71, "word": " the", "probability": 0.60009765625}, {"start": 998.71, "end": 998.97, "word": " second", "probability": 0.5419921875}, {"start": 998.97, "end": 999.17, "word": " one", "probability": 0.325439453125}, {"start": 999.17, "end": 999.85, "word": " is", "probability": 0.2447509765625}, {"start": 999.85, "end": 1000.27, "word": " on", "probability": 0.29248046875}, {"start": 1000.27, "end": 1000.41, "word": " the", "probability": 0.73291015625}, {"start": 1000.41, "end": 1001.19, "word": " horizontal", "probability": 0.681640625}, {"start": 1001.19, "end": 1001.23, "word": " axis", "probability": 0.9833984375}, {"start": 1001.23, "end": 1003.71, "word": " and", "probability": 0.63720703125}, {"start": 1003.71, "end": 1004.03, "word": " its", "probability": 0.46142578125}, {"start": 1004.03, "end": 1004.03, "word": " value", "probability": 0.9111328125}, {"start": 1004.03, "end": 1004.31, "word": " is", "probability": 0.80029296875}, {"start": 1004.31, "end": 1004.31, "word": " for", "probability": 0.298095703125}, {"start": 1004.31, "end": 1004.61, "word": " example", "probability": 0.9541015625}, {"start": 1004.61, "end": 1005.37, "word": " 10", "probability": 0.87646484375}, {"start": 1005.37, "end": 1005.85, "word": " prism", "probability": 0.912353515625}, {"start": 1005.85, "end": 1007.25, "word": " we", "probability": 0.463134765625}, {"start": 1007.25, "end": 1007.45, "word": " need", "probability": 0.64697265625}, {"start": 1007.45, "end": 1008.39, "word": " their", "probability": 0.7724609375}, {"start": 1008.39, "end": 1008.39, "word": " sum", "probability": 0.95263671875}, {"start": 1008.39, "end": 1010.59, "word": " their", "probability": 0.481201171875}, {"start": 1010.59, "end": 1010.99, "word": " sum", "probability": 0.93212890625}, {"start": 1010.99, "end": 1014.83, "word": " by", "probability": 0.53271484375}, {"start": 1014.83, "end": 1015.11, "word": " the", "probability": 0.927734375}, {"start": 1015.11, "end": 1015.21, "word": " way", "probability": 0.96044921875}, {"start": 1015.21, "end": 1015.39, "word": " here", "probability": 0.47314453125}, {"start": 1015.39, "end": 1015.55, "word": " the", "probability": 0.58935546875}, {"start": 1015.55, "end": 1015.81, "word": " sum", "probability": 0.90234375}, {"start": 1015.81, "end": 1015.97, "word": " is", "probability": 0.76318359375}, {"start": 1015.97, "end": 1016.49, "word": " impossible", "probability": 0.708984375}, {"start": 1016.49, "end": 1016.97, "word": " to", "probability": 0.84765625}, {"start": 1016.97, "end": 1017.21, "word": " change", "probability": 0.79150390625}, {"start": 1017.21, "end": 1017.39, "word": " its", "probability": 0.779296875}, {"start": 1017.39, "end": 1017.63, "word": " angle", "probability": 0.6845703125}], "temperature": 1.0}, {"id": 39, "seek": 102852, "start": 1019.06, "end": 1028.52, "text": "مستحيل، يعني هيتحرك مانع يضل عامل على المحور الأفقي وعلى المحور العمودي زاوية ثابتة، زاوية ثابتة، نشوف اللي هو ال angle", "tokens": [2304, 14851, 5016, 26895, 12399, 37495, 22653, 39896, 2655, 5016, 31747, 3714, 7649, 3615, 7251, 11242, 1211, 6225, 10943, 1211, 15844, 9673, 5016, 13063, 16247, 5172, 38436, 4032, 3615, 23942, 9673, 5016, 13063, 18863, 2304, 2407, 16254, 30767, 995, 2407, 10632, 38637, 16758, 2655, 3660, 12399, 30767, 995, 2407, 10632, 38637, 16758, 2655, 3660, 12399, 8717, 8592, 38688, 13672, 1829, 31439, 2423, 5802], "avg_logprob": -0.14318847307004035, "compression_ratio": 1.6384615384615384, "no_speech_prob": 9.834766387939453e-06, "words": [{"start": 1019.06, "end": 1019.86, "word": "مستحيل،", "probability": 0.705224609375}, {"start": 1019.86, "end": 1019.94, "word": " يعني", "probability": 0.881103515625}, {"start": 1019.94, "end": 1020.46, "word": " هيتحرك", "probability": 0.889892578125}, {"start": 1020.46, "end": 1020.78, "word": " مانع", "probability": 0.624755859375}, {"start": 1020.78, "end": 1021.48, "word": " يضل", "probability": 0.6622721354166666}, {"start": 1021.48, "end": 1022.02, "word": " عامل", "probability": 0.9943033854166666}, {"start": 1022.02, "end": 1022.22, "word": " على", "probability": 0.88671875}, {"start": 1022.22, "end": 1022.66, "word": " المحور", "probability": 0.9806315104166666}, {"start": 1022.66, "end": 1023.22, "word": " الأفقي", "probability": 0.9124348958333334}, {"start": 1023.22, "end": 1023.48, "word": " وعلى", "probability": 0.8878580729166666}, {"start": 1023.48, "end": 1023.78, "word": " المحور", "probability": 0.9925130208333334}, {"start": 1023.78, "end": 1024.2, "word": " العمودي", "probability": 0.9671630859375}, {"start": 1024.2, "end": 1024.6, "word": " زاوية", "probability": 0.9429931640625}, {"start": 1024.6, "end": 1025.26, "word": " ثابتة،", "probability": 0.9513671875}, {"start": 1025.26, "end": 1025.6, "word": " زاوية", "probability": 0.9884033203125}, {"start": 1025.6, "end": 1026.44, "word": " ثابتة،", "probability": 0.95927734375}, {"start": 1026.44, "end": 1026.96, "word": " نشوف", "probability": 0.861328125}, {"start": 1026.96, "end": 1027.22, "word": " اللي", "probability": 0.972412109375}, {"start": 1027.22, "end": 1027.54, "word": " هو", "probability": 0.98681640625}, {"start": 1027.54, "end": 1028.1, "word": " ال", "probability": 0.96630859375}, {"start": 1028.1, "end": 1028.52, "word": " angle", "probability": 0.69970703125}], "temperature": 1.0}, {"id": 40, "seek": 105683, "start": 1029.93, "end": 1056.83, "text": "so 63.4 out of 10 on the horizontal axis and on the vertical axis between them, between the vertical axis, its value is approximately 27 or 26.6 out of 10, which is 90 in total, 90 in total, so its value is 22.4 out of 10 let's see if the value is correct or not, here I have a prism of 20", "tokens": [539, 25082, 13, 19, 484, 295, 1266, 322, 264, 12750, 10298, 293, 322, 264, 9429, 10298, 1296, 552, 11, 1296, 264, 9429, 10298, 11, 1080, 2158, 307, 10447, 7634, 420, 7551, 13, 21, 484, 295, 1266, 11, 597, 307, 4289, 294, 3217, 11, 4289, 294, 3217, 11, 370, 1080, 2158, 307, 5853, 13, 19, 484, 295, 1266, 718, 311, 536, 498, 264, 2158, 307, 3006, 420, 406, 11, 510, 286, 362, 257, 582, 1434, 295, 945], "avg_logprob": -0.39853897032799657, "compression_ratio": 1.7409638554216869, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1029.93, "end": 1030.47, "word": "so", "probability": 0.24462890625}, {"start": 1030.47, "end": 1031.01, "word": " 63", "probability": 0.6533203125}, {"start": 1031.01, "end": 1031.61, "word": ".4", "probability": 0.76953125}, {"start": 1031.61, "end": 1031.79, "word": " out", "probability": 0.345458984375}, {"start": 1031.79, "end": 1031.79, "word": " of", "probability": 0.97802734375}, {"start": 1031.79, "end": 1032.09, "word": " 10", "probability": 0.91064453125}, {"start": 1032.09, "end": 1032.41, "word": " on", "probability": 0.65478515625}, {"start": 1032.41, "end": 1034.07, "word": " the", "probability": 0.84375}, {"start": 1034.07, "end": 1035.25, "word": " horizontal", "probability": 0.71728515625}, {"start": 1035.25, "end": 1035.25, "word": " axis", "probability": 0.97412109375}, {"start": 1035.25, "end": 1036.11, "word": " and", "probability": 0.7744140625}, {"start": 1036.11, "end": 1036.51, "word": " on", "probability": 0.77294921875}, {"start": 1036.51, "end": 1036.67, "word": " the", "probability": 0.9013671875}, {"start": 1036.67, "end": 1036.75, "word": " vertical", "probability": 0.83837890625}, {"start": 1036.75, "end": 1037.65, "word": " axis", "probability": 0.97216796875}, {"start": 1037.65, "end": 1037.95, "word": " between", "probability": 0.492919921875}, {"start": 1037.95, "end": 1038.11, "word": " them,", "probability": 0.5986328125}, {"start": 1038.15, "end": 1038.25, "word": " between", "probability": 0.317626953125}, {"start": 1038.25, "end": 1038.75, "word": " the", "probability": 0.66357421875}, {"start": 1038.75, "end": 1038.95, "word": " vertical", "probability": 0.81787109375}, {"start": 1038.95, "end": 1039.11, "word": " axis,", "probability": 0.94091796875}, {"start": 1039.59, "end": 1040.07, "word": " its", "probability": 0.15185546875}, {"start": 1040.07, "end": 1040.37, "word": " value", "probability": 0.6396484375}, {"start": 1040.37, "end": 1040.99, "word": " is", "probability": 0.865234375}, {"start": 1040.99, "end": 1042.47, "word": " approximately", "probability": 0.43505859375}, {"start": 1042.47, "end": 1043.93, "word": " 27", "probability": 0.833984375}, {"start": 1043.93, "end": 1044.71, "word": " or", "probability": 0.822265625}, {"start": 1044.71, "end": 1045.33, "word": " 26", "probability": 0.9765625}, {"start": 1045.33, "end": 1046.37, "word": ".6", "probability": 0.876708984375}, {"start": 1046.37, "end": 1046.53, "word": " out", "probability": 0.79638671875}, {"start": 1046.53, "end": 1046.57, "word": " of", "probability": 0.974609375}, {"start": 1046.57, "end": 1046.89, "word": " 10,", "probability": 0.94189453125}, {"start": 1047.11, "end": 1047.31, "word": " which", "probability": 0.320068359375}, {"start": 1047.31, "end": 1047.33, "word": " is", "probability": 0.292236328125}, {"start": 1047.33, "end": 1048.23, "word": " 90", "probability": 0.58984375}, {"start": 1048.23, "end": 1048.45, "word": " in", "probability": 0.1806640625}, {"start": 1048.45, "end": 1048.45, "word": " total,", "probability": 0.8125}, {"start": 1048.57, "end": 1048.69, "word": " 90", "probability": 0.73876953125}, {"start": 1048.69, "end": 1049.35, "word": " in", "probability": 0.78369140625}, {"start": 1049.35, "end": 1049.61, "word": " total,", "probability": 0.87841796875}, {"start": 1050.29, "end": 1050.37, "word": " so", "probability": 0.59375}, {"start": 1050.37, "end": 1050.83, "word": " its", "probability": 0.388916015625}, {"start": 1050.83, "end": 1051.13, "word": " value", "probability": 0.94970703125}, {"start": 1051.13, "end": 1051.29, "word": " is", "probability": 0.90625}, {"start": 1051.29, "end": 1051.57, "word": " 22", "probability": 0.96142578125}, {"start": 1051.57, "end": 1052.59, "word": ".4", "probability": 0.9912109375}, {"start": 1052.59, "end": 1053.01, "word": " out", "probability": 0.865234375}, {"start": 1053.01, "end": 1053.05, "word": " of", "probability": 0.97607421875}, {"start": 1053.05, "end": 1053.37, "word": " 10", "probability": 0.97607421875}, {"start": 1053.37, "end": 1053.81, "word": " let's", "probability": 0.649658203125}, {"start": 1053.81, "end": 1053.99, "word": " see", "probability": 0.74365234375}, {"start": 1053.99, "end": 1054.17, "word": " if", "probability": 0.71923828125}, {"start": 1054.17, "end": 1054.35, "word": " the", "probability": 0.703125}, {"start": 1054.35, "end": 1054.51, "word": " value", "probability": 0.90625}, {"start": 1054.51, "end": 1054.67, "word": " is", "probability": 0.9453125}, {"start": 1054.67, "end": 1054.99, "word": " correct", "probability": 0.80029296875}, {"start": 1054.99, "end": 1055.25, "word": " or", "probability": 0.951171875}, {"start": 1055.25, "end": 1055.41, "word": " not,", "probability": 0.93212890625}, {"start": 1055.49, "end": 1055.63, "word": " here", "probability": 0.418212890625}, {"start": 1055.63, "end": 1055.89, "word": " I", "probability": 0.9609375}, {"start": 1055.89, "end": 1055.93, "word": " have", "probability": 0.9384765625}, {"start": 1055.93, "end": 1056.09, "word": " a", "probability": 0.34765625}, {"start": 1056.09, "end": 1056.33, "word": " prism", "probability": 0.6898193359375}, {"start": 1056.33, "end": 1056.39, "word": " of", "probability": 0.51708984375}, {"start": 1056.39, "end": 1056.83, "word": " 20", "probability": 0.8935546875}], "temperature": 1.0}, {"id": 41, "seek": 108228, "start": 1057.86, "end": 1082.28, "text": "up and ten twenty of course the base is up and here the base we say out the area here is out, which means temporal and here the area is nasal, okay? So, we see first of all the value, will it be twenty-two and four out of ten or not? Let's go to the calculator, we say we have a new problem, we say the square root of twenty squares", "tokens": [1010, 293, 2064, 7699, 295, 1164, 264, 3096, 307, 493, 293, 510, 264, 3096, 321, 584, 484, 264, 1859, 510, 307, 484, 11, 597, 1355, 30881, 293, 510, 264, 1859, 307, 41575, 11, 1392, 30, 407, 11, 321, 536, 700, 295, 439, 264, 2158, 11, 486, 309, 312, 7699, 12, 20534, 293, 1451, 484, 295, 2064, 420, 406, 30, 961, 311, 352, 281, 264, 24993, 11, 321, 584, 321, 362, 257, 777, 1154, 11, 321, 584, 264, 3732, 5593, 295, 7699, 19368], "avg_logprob": -0.45293674196105405, "compression_ratio": 1.6938775510204083, "no_speech_prob": 3.2067298889160156e-05, "words": [{"start": 1057.86, "end": 1058.26, "word": "up", "probability": 0.8515625}, {"start": 1058.26, "end": 1058.66, "word": " and", "probability": 0.6826171875}, {"start": 1058.66, "end": 1059.06, "word": " ten", "probability": 0.446044921875}, {"start": 1059.06, "end": 1060.42, "word": " twenty", "probability": 0.295654296875}, {"start": 1060.42, "end": 1061.26, "word": " of", "probability": 0.367431640625}, {"start": 1061.26, "end": 1061.46, "word": " course", "probability": 0.93798828125}, {"start": 1061.46, "end": 1061.64, "word": " the", "probability": 0.67236328125}, {"start": 1061.64, "end": 1061.84, "word": " base", "probability": 0.8857421875}, {"start": 1061.84, "end": 1061.94, "word": " is", "probability": 0.64404296875}, {"start": 1061.94, "end": 1062.16, "word": " up", "probability": 0.966796875}, {"start": 1062.16, "end": 1062.26, "word": " and", "probability": 0.76025390625}, {"start": 1062.26, "end": 1062.38, "word": " here", "probability": 0.64501953125}, {"start": 1062.38, "end": 1062.5, "word": " the", "probability": 0.59326171875}, {"start": 1062.5, "end": 1062.7, "word": " base", "probability": 0.830078125}, {"start": 1062.7, "end": 1062.82, "word": " we", "probability": 0.261962890625}, {"start": 1062.82, "end": 1062.96, "word": " say", "probability": 0.8876953125}, {"start": 1062.96, "end": 1063.32, "word": " out", "probability": 0.67919921875}, {"start": 1063.32, "end": 1063.5, "word": " the", "probability": 0.276611328125}, {"start": 1063.5, "end": 1063.8, "word": " area", "probability": 0.6103515625}, {"start": 1063.8, "end": 1064.04, "word": " here", "probability": 0.4306640625}, {"start": 1064.04, "end": 1064.06, "word": " is", "probability": 0.8037109375}, {"start": 1064.06, "end": 1064.4, "word": " out,", "probability": 0.8837890625}, {"start": 1064.54, "end": 1064.6, "word": " which", "probability": 0.2000732421875}, {"start": 1064.6, "end": 1064.66, "word": " means", "probability": 0.61669921875}, {"start": 1064.66, "end": 1065.1, "word": " temporal", "probability": 0.8779296875}, {"start": 1065.1, "end": 1065.28, "word": " and", "probability": 0.7529296875}, {"start": 1065.28, "end": 1065.44, "word": " here", "probability": 0.7890625}, {"start": 1065.44, "end": 1065.56, "word": " the", "probability": 0.65185546875}, {"start": 1065.56, "end": 1066.0, "word": " area", "probability": 0.81103515625}, {"start": 1066.0, "end": 1066.84, "word": " is", "probability": 0.65869140625}, {"start": 1066.84, "end": 1067.14, "word": " nasal,", "probability": 0.625}, {"start": 1067.22, "end": 1067.48, "word": " okay?", "probability": 0.3955078125}, {"start": 1067.82, "end": 1067.96, "word": " So,", "probability": 0.50439453125}, {"start": 1068.28, "end": 1068.52, "word": " we", "probability": 0.45458984375}, {"start": 1068.52, "end": 1068.96, "word": " see", "probability": 0.31494140625}, {"start": 1068.96, "end": 1069.18, "word": " first", "probability": 0.68798828125}, {"start": 1069.18, "end": 1069.4, "word": " of", "probability": 0.37841796875}, {"start": 1069.4, "end": 1069.4, "word": " all", "probability": 0.947265625}, {"start": 1069.4, "end": 1069.54, "word": " the", "probability": 0.62841796875}, {"start": 1069.54, "end": 1069.74, "word": " value,", "probability": 0.90576171875}, {"start": 1069.8, "end": 1069.94, "word": " will", "probability": 0.4794921875}, {"start": 1069.94, "end": 1070.14, "word": " it", "probability": 0.457275390625}, {"start": 1070.14, "end": 1070.32, "word": " be", "probability": 0.2220458984375}, {"start": 1070.32, "end": 1070.68, "word": " twenty", "probability": 0.52392578125}, {"start": 1070.68, "end": 1070.84, "word": "-two", "probability": 0.7080078125}, {"start": 1070.84, "end": 1071.3, "word": " and", "probability": 0.7412109375}, {"start": 1071.3, "end": 1071.58, "word": " four", "probability": 0.93212890625}, {"start": 1071.58, "end": 1071.8, "word": " out", "probability": 0.58203125}, {"start": 1071.8, "end": 1071.8, "word": " of", "probability": 0.97802734375}, {"start": 1071.8, "end": 1072.14, "word": " ten", "probability": 0.912109375}, {"start": 1072.14, "end": 1072.28, "word": " or", "probability": 0.8486328125}, {"start": 1072.28, "end": 1072.54, "word": " not?", "probability": 0.90576171875}, {"start": 1072.64, "end": 1072.78, "word": " Let's", "probability": 0.635986328125}, {"start": 1072.78, "end": 1072.84, "word": " go", "probability": 0.88330078125}, {"start": 1072.84, "end": 1072.92, "word": " to", "probability": 0.9130859375}, {"start": 1072.92, "end": 1073.02, "word": " the", "probability": 0.87744140625}, {"start": 1073.02, "end": 1073.58, "word": " calculator,", "probability": 0.95458984375}, {"start": 1074.2, "end": 1074.42, "word": " we", "probability": 0.84814453125}, {"start": 1074.42, "end": 1074.62, "word": " say", "probability": 0.6748046875}, {"start": 1074.62, "end": 1074.88, "word": " we", "probability": 0.6826171875}, {"start": 1074.88, "end": 1074.98, "word": " have", "probability": 0.9423828125}, {"start": 1074.98, "end": 1075.14, "word": " a", "probability": 0.97607421875}, {"start": 1075.14, "end": 1075.14, "word": " new", "probability": 0.9072265625}, {"start": 1075.14, "end": 1075.84, "word": " problem,", "probability": 0.5927734375}, {"start": 1075.96, "end": 1076.06, "word": " we", "probability": 0.79345703125}, {"start": 1076.06, "end": 1076.4, "word": " say", "probability": 0.94287109375}, {"start": 1076.4, "end": 1077.36, "word": " the", "probability": 0.712890625}, {"start": 1077.36, "end": 1078.14, "word": " square", "probability": 0.47265625}, {"start": 1078.14, "end": 1078.16, "word": " root", "probability": 0.9501953125}, {"start": 1078.16, "end": 1079.9, "word": " of", "probability": 0.80419921875}, {"start": 1079.9, "end": 1081.84, "word": " twenty", "probability": 0.79248046875}, {"start": 1081.84, "end": 1082.28, "word": " squares", "probability": 0.65283203125}], "temperature": 1.0}, {"id": 42, "seek": 110083, "start": 1087.65, "end": 1100.83, "text": "plus ten squares, all under the square root of course, to get the value which is equal to you", "tokens": [18954, 2064, 19368, 11, 439, 833, 264, 3732, 5593, 295, 1164, 11, 281, 483, 264, 2158, 597, 307, 2681, 281, 291], "avg_logprob": -0.5525568154725161, "compression_ratio": 1.2077922077922079, "no_speech_prob": 6.139278411865234e-06, "words": [{"start": 1087.65, "end": 1088.69, "word": "plus", "probability": 0.23876953125}, {"start": 1088.69, "end": 1089.73, "word": " ten", "probability": 0.580078125}, {"start": 1089.73, "end": 1090.21, "word": " squares,", "probability": 0.70947265625}, {"start": 1090.73, "end": 1092.17, "word": " all", "probability": 0.65625}, {"start": 1092.17, "end": 1092.45, "word": " under", "probability": 0.6708984375}, {"start": 1092.45, "end": 1092.67, "word": " the", "probability": 0.84423828125}, {"start": 1092.67, "end": 1093.35, "word": " square", "probability": 0.630859375}, {"start": 1093.35, "end": 1093.35, "word": " root", "probability": 0.85205078125}, {"start": 1093.35, "end": 1093.93, "word": " of", "probability": 0.76123046875}, {"start": 1093.93, "end": 1093.93, "word": " course,", "probability": 0.91064453125}, {"start": 1096.51, "end": 1097.03, "word": " to", "probability": 0.432861328125}, {"start": 1097.03, "end": 1097.39, "word": " get", "probability": 0.66015625}, {"start": 1097.39, "end": 1098.73, "word": " the", "probability": 0.7548828125}, {"start": 1098.73, "end": 1099.07, "word": " value", "probability": 0.9423828125}, {"start": 1099.07, "end": 1099.37, "word": " which", "probability": 0.328369140625}, {"start": 1099.37, "end": 1099.65, "word": " is", "probability": 0.59765625}, {"start": 1099.65, "end": 1100.37, "word": " equal", "probability": 0.5830078125}, {"start": 1100.37, "end": 1100.51, "word": " to", "probability": 0.9541015625}, {"start": 1100.51, "end": 1100.83, "word": " you", "probability": 0.177001953125}], "temperature": 1.0}, {"id": 43, "seek": 112863, "start": 1102.33, "end": 1128.63, "text": "twenty-two and three out of ten, as shown here, approximately, approximately, you get twenty-two and three out of ten, and here, of course, six is close to one, you get twenty-two and four out of ten. Okay, now the angle, the angle, we want to say as follows, this is how it is, this is the angle, how did it come out with me? Underneath this angle, underneath this angle, twenty, twenty over ten", "tokens": [20270, 4179, 12, 20534, 293, 1045, 484, 295, 2064, 11, 382, 4898, 510, 11, 10447, 11, 10447, 11, 291, 483, 7699, 12, 20534, 293, 1045, 484, 295, 2064, 11, 293, 510, 11, 295, 1164, 11, 2309, 307, 1998, 281, 472, 11, 291, 483, 7699, 12, 20534, 293, 1451, 484, 295, 2064, 13, 1033, 11, 586, 264, 5802, 11, 264, 5802, 11, 321, 528, 281, 584, 382, 10002, 11, 341, 307, 577, 309, 307, 11, 341, 307, 264, 5802, 11, 577, 630, 309, 808, 484, 365, 385, 30, 6974, 7000, 341, 5802, 11, 833, 716, 998, 341, 5802, 11, 7699, 11, 7699, 670, 2064], "avg_logprob": -0.4834735468029976, "compression_ratio": 2.0952380952380953, "no_speech_prob": 2.682209014892578e-06, "words": [{"start": 1102.33, "end": 1102.77, "word": "twenty", "probability": 0.53106689453125}, {"start": 1102.77, "end": 1102.77, "word": "-two", "probability": 0.634765625}, {"start": 1102.77, "end": 1102.95, "word": " and", "probability": 0.83837890625}, {"start": 1102.95, "end": 1103.27, "word": " three", "probability": 0.689453125}, {"start": 1103.27, "end": 1103.51, "word": " out", "probability": 0.3212890625}, {"start": 1103.51, "end": 1103.51, "word": " of", "probability": 0.9736328125}, {"start": 1103.51, "end": 1103.79, "word": " ten,", "probability": 0.919921875}, {"start": 1103.91, "end": 1104.01, "word": " as", "probability": 0.289794921875}, {"start": 1104.01, "end": 1104.69, "word": " shown", "probability": 0.2125244140625}, {"start": 1104.69, "end": 1105.05, "word": " here,", "probability": 0.55517578125}, {"start": 1105.35, "end": 1105.73, "word": " approximately,", "probability": 0.10406494140625}, {"start": 1105.75, "end": 1106.15, "word": " approximately,", "probability": 0.46240234375}, {"start": 1106.15, "end": 1106.57, "word": " you", "probability": 0.156982421875}, {"start": 1106.57, "end": 1106.71, "word": " get", "probability": 0.591796875}, {"start": 1106.71, "end": 1106.89, "word": " twenty", "probability": 0.5703125}, {"start": 1106.89, "end": 1107.07, "word": "-two", "probability": 0.93359375}, {"start": 1107.07, "end": 1107.51, "word": " and", "probability": 0.8056640625}, {"start": 1107.51, "end": 1107.71, "word": " three", "probability": 0.93701171875}, {"start": 1107.71, "end": 1107.97, "word": " out", "probability": 0.82373046875}, {"start": 1107.97, "end": 1108.01, "word": " of", "probability": 0.97412109375}, {"start": 1108.01, "end": 1108.37, "word": " ten,", "probability": 0.927734375}, {"start": 1108.61, "end": 1108.93, "word": " and", "probability": 0.81494140625}, {"start": 1108.93, "end": 1109.09, "word": " here,", "probability": 0.74267578125}, {"start": 1109.17, "end": 1109.33, "word": " of", "probability": 0.78125}, {"start": 1109.33, "end": 1109.33, "word": " course,", "probability": 0.96044921875}, {"start": 1109.41, "end": 1109.77, "word": " six", "probability": 0.64892578125}, {"start": 1109.77, "end": 1109.93, "word": " is", "probability": 0.43994140625}, {"start": 1109.93, "end": 1110.17, "word": " close", "probability": 0.156982421875}, {"start": 1110.17, "end": 1110.35, "word": " to", "probability": 0.95068359375}, {"start": 1110.35, "end": 1110.57, "word": " one,", "probability": 0.93994140625}, {"start": 1110.67, "end": 1110.71, "word": " you", "probability": 0.261474609375}, {"start": 1110.71, "end": 1110.85, "word": " get", "probability": 0.88427734375}, {"start": 1110.85, "end": 1110.97, "word": " twenty", "probability": 0.697265625}, {"start": 1110.97, "end": 1111.13, "word": "-two", "probability": 0.94677734375}, {"start": 1111.13, "end": 1111.61, "word": " and", "probability": 0.92724609375}, {"start": 1111.61, "end": 1111.93, "word": " four", "probability": 0.9453125}, {"start": 1111.93, "end": 1112.67, "word": " out", "probability": 0.8759765625}, {"start": 1112.67, "end": 1112.71, "word": " of", "probability": 0.97265625}, {"start": 1112.71, "end": 1112.97, "word": " ten.", "probability": 0.9404296875}, {"start": 1113.09, "end": 1113.29, "word": " Okay,", "probability": 0.345947265625}, {"start": 1113.47, "end": 1113.89, "word": " now", "probability": 0.853515625}, {"start": 1113.89, "end": 1114.11, "word": " the", "probability": 0.65771484375}, {"start": 1114.11, "end": 1114.43, "word": " angle,", "probability": 0.68212890625}, {"start": 1114.83, "end": 1115.09, "word": " the", "probability": 0.603515625}, {"start": 1115.09, "end": 1115.47, "word": " angle,", "probability": 0.8837890625}, {"start": 1116.03, "end": 1116.43, "word": " we", "probability": 0.8505859375}, {"start": 1116.43, "end": 1116.57, "word": " want", "probability": 0.59716796875}, {"start": 1116.57, "end": 1116.71, "word": " to", "probability": 0.96875}, {"start": 1116.71, "end": 1116.87, "word": " say", "probability": 0.9296875}, {"start": 1116.87, "end": 1117.07, "word": " as", "probability": 0.79638671875}, {"start": 1117.07, "end": 1117.47, "word": " follows,", "probability": 0.79931640625}, {"start": 1118.59, "end": 1118.87, "word": " this", "probability": 0.552734375}, {"start": 1118.87, "end": 1118.97, "word": " is", "probability": 0.625}, {"start": 1118.97, "end": 1119.11, "word": " how", "probability": 0.43408203125}, {"start": 1119.11, "end": 1119.17, "word": " it", "probability": 0.88623046875}, {"start": 1119.17, "end": 1119.47, "word": " is,", "probability": 0.76416015625}, {"start": 1120.33, "end": 1120.61, "word": " this", "probability": 0.8564453125}, {"start": 1120.61, "end": 1120.69, "word": " is", "probability": 0.77294921875}, {"start": 1120.69, "end": 1120.77, "word": " the", "probability": 0.86767578125}, {"start": 1120.77, "end": 1120.91, "word": " angle,", "probability": 0.88134765625}, {"start": 1121.01, "end": 1121.19, "word": " how", "probability": 0.6416015625}, {"start": 1121.19, "end": 1121.25, "word": " did", "probability": 0.58251953125}, {"start": 1121.25, "end": 1121.55, "word": " it", "probability": 0.72607421875}, {"start": 1121.55, "end": 1121.55, "word": " come", "probability": 0.51171875}, {"start": 1121.55, "end": 1121.55, "word": " out", "probability": 0.5341796875}, {"start": 1121.55, "end": 1121.73, "word": " with", "probability": 0.779296875}, {"start": 1121.73, "end": 1121.93, "word": " me?", "probability": 0.9296875}, {"start": 1122.07, "end": 1122.45, "word": " Underneath", "probability": 0.45361328125}, {"start": 1122.45, "end": 1122.59, "word": " this", "probability": 0.62841796875}, {"start": 1122.59, "end": 1122.95, "word": " angle,", "probability": 0.85546875}, {"start": 1123.71, "end": 1124.11, "word": " underneath", "probability": 0.6107584635416666}, {"start": 1124.11, "end": 1124.25, "word": " this", "probability": 0.7470703125}, {"start": 1124.25, "end": 1124.47, "word": " angle,", "probability": 0.876953125}, {"start": 1124.65, "end": 1125.13, "word": " twenty,", "probability": 0.374267578125}, {"start": 1125.79, "end": 1126.43, "word": " twenty", "probability": 0.83251953125}, {"start": 1126.43, "end": 1127.75, "word": " over", "probability": 0.34130859375}, {"start": 1127.75, "end": 1128.63, "word": " ten", "probability": 0.9453125}], "temperature": 1.0}, {"id": 44, "seek": 114981, "start": 1129.49, "end": 1149.81, "text": "I want the angle, I have to do shift-t, shift-t 20 over 10 20 divided by 10, which is 2, under 2, how much does it come out?", "tokens": [40, 528, 264, 5802, 11, 286, 362, 281, 360, 5513, 12, 83, 11, 5513, 12, 83, 945, 670, 1266, 945, 6666, 538, 1266, 11, 597, 307, 568, 11, 833, 568, 11, 577, 709, 775, 309, 808, 484, 30], "avg_logprob": -0.6798878113428751, "compression_ratio": 1.203883495145631, "no_speech_prob": 4.112720489501953e-06, "words": [{"start": 1129.4900000000002, "end": 1130.0700000000002, "word": "I", "probability": 0.16552734375}, {"start": 1130.0700000000002, "end": 1130.65, "word": " want", "probability": 0.54833984375}, {"start": 1130.65, "end": 1130.85, "word": " the", "probability": 0.41357421875}, {"start": 1130.85, "end": 1131.01, "word": " angle,", "probability": 0.44287109375}, {"start": 1131.09, "end": 1131.25, "word": " I", "probability": 0.336181640625}, {"start": 1131.25, "end": 1131.25, "word": " have", "probability": 0.1600341796875}, {"start": 1131.25, "end": 1131.55, "word": " to", "probability": 0.95703125}, {"start": 1131.55, "end": 1131.55, "word": " do", "probability": 0.26318359375}, {"start": 1131.55, "end": 1131.97, "word": " shift", "probability": 0.69140625}, {"start": 1131.97, "end": 1132.25, "word": "-t,", "probability": 0.2745361328125}, {"start": 1132.35, "end": 1132.71, "word": " shift", "probability": 0.80126953125}, {"start": 1132.71, "end": 1133.27, "word": "-t", "probability": 0.975830078125}, {"start": 1133.27, "end": 1138.39, "word": " 20", "probability": 0.498291015625}, {"start": 1138.39, "end": 1138.65, "word": " over", "probability": 0.041259765625}, {"start": 1138.65, "end": 1139.11, "word": " 10", "probability": 0.91943359375}, {"start": 1139.11, "end": 1144.01, "word": " 20", "probability": 0.444580078125}, {"start": 1144.01, "end": 1144.41, "word": " divided", "probability": 0.2802734375}, {"start": 1144.41, "end": 1144.61, "word": " by", "probability": 0.90771484375}, {"start": 1144.61, "end": 1144.95, "word": " 10,", "probability": 0.9501953125}, {"start": 1145.73, "end": 1146.35, "word": " which", "probability": 0.80078125}, {"start": 1146.35, "end": 1146.47, "word": " is", "probability": 0.88427734375}, {"start": 1146.47, "end": 1146.89, "word": " 2,", "probability": 0.82177734375}, {"start": 1147.87, "end": 1148.45, "word": " under", "probability": 0.175048828125}, {"start": 1148.45, "end": 1148.77, "word": " 2,", "probability": 0.88623046875}, {"start": 1148.93, "end": 1149.13, "word": " how", "probability": 0.70751953125}, {"start": 1149.13, "end": 1149.27, "word": " much", "probability": 0.7470703125}, {"start": 1149.27, "end": 1149.33, "word": " does", "probability": 0.3369140625}, {"start": 1149.33, "end": 1149.41, "word": " it", "probability": 0.88818359375}, {"start": 1149.41, "end": 1149.63, "word": " come", "probability": 0.2474365234375}, {"start": 1149.63, "end": 1149.81, "word": " out?", "probability": 0.81884765625}], "temperature": 1.0}, {"id": 45, "seek": 118060, "start": 1154.45, "end": 1180.61, "text": "it turns out to be 63.4 out of 10 degrees So in this way I can find the vector addition of a prism So instead of using a prism based out with a value of 10 and in front of it a prism based up with a value of 20 prisms I use a prism 1 that excludes 2 in its direction", "tokens": [270, 4523, 484, 281, 312, 25082, 13, 19, 484, 295, 1266, 5310, 407, 294, 341, 636, 286, 393, 915, 264, 8062, 4500, 295, 257, 582, 1434, 407, 2602, 295, 1228, 257, 582, 1434, 2361, 484, 365, 257, 2158, 295, 1266, 293, 294, 1868, 295, 309, 257, 582, 1434, 2361, 493, 365, 257, 2158, 295, 945, 582, 13539, 286, 764, 257, 582, 1434, 502, 300, 16269, 279, 568, 294, 1080, 3513], "avg_logprob": -0.4652288849924652, "compression_ratio": 1.6219512195121952, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1154.45, "end": 1154.65, "word": "it", "probability": 0.251953125}, {"start": 1154.65, "end": 1154.87, "word": " turns", "probability": 0.2181396484375}, {"start": 1154.87, "end": 1154.89, "word": " out", "probability": 0.8271484375}, {"start": 1154.89, "end": 1154.97, "word": " to", "probability": 0.46533203125}, {"start": 1154.97, "end": 1154.97, "word": " be", "probability": 0.92724609375}, {"start": 1154.97, "end": 1155.63, "word": " 63", "probability": 0.5283203125}, {"start": 1155.63, "end": 1156.29, "word": ".4", "probability": 0.82275390625}, {"start": 1156.29, "end": 1156.75, "word": " out", "probability": 0.2425537109375}, {"start": 1156.75, "end": 1156.75, "word": " of", "probability": 0.97607421875}, {"start": 1156.75, "end": 1157.15, "word": " 10", "probability": 0.8994140625}, {"start": 1157.15, "end": 1160.01, "word": " degrees", "probability": 0.419189453125}, {"start": 1160.01, "end": 1160.41, "word": " So", "probability": 0.1529541015625}, {"start": 1160.41, "end": 1160.53, "word": " in", "probability": 0.280517578125}, {"start": 1160.53, "end": 1161.35, "word": " this", "probability": 0.869140625}, {"start": 1161.35, "end": 1161.91, "word": " way", "probability": 0.90771484375}, {"start": 1161.91, "end": 1163.13, "word": " I", "probability": 0.6552734375}, {"start": 1163.13, "end": 1163.63, "word": " can", "probability": 0.6083984375}, {"start": 1163.63, "end": 1165.03, "word": " find", "probability": 0.72705078125}, {"start": 1165.03, "end": 1165.43, "word": " the", "probability": 0.70068359375}, {"start": 1165.43, "end": 1165.77, "word": " vector", "probability": 0.89013671875}, {"start": 1165.77, "end": 1166.31, "word": " addition", "probability": 0.9599609375}, {"start": 1166.31, "end": 1166.55, "word": " of", "probability": 0.93017578125}, {"start": 1166.55, "end": 1166.75, "word": " a", "probability": 0.16552734375}, {"start": 1166.75, "end": 1166.89, "word": " prism", "probability": 0.929931640625}, {"start": 1166.89, "end": 1167.07, "word": " So", "probability": 0.137451171875}, {"start": 1167.07, "end": 1167.33, "word": " instead", "probability": 0.63818359375}, {"start": 1167.33, "end": 1167.41, "word": " of", "probability": 0.94677734375}, {"start": 1167.41, "end": 1167.99, "word": " using", "probability": 0.87255859375}, {"start": 1167.99, "end": 1168.53, "word": " a", "probability": 0.60791015625}, {"start": 1168.53, "end": 1168.85, "word": " prism", "probability": 0.919921875}, {"start": 1168.85, "end": 1169.19, "word": " based", "probability": 0.55029296875}, {"start": 1169.19, "end": 1169.65, "word": " out", "probability": 0.78759765625}, {"start": 1169.65, "end": 1170.19, "word": " with", "probability": 0.2435302734375}, {"start": 1170.19, "end": 1170.19, "word": " a", "probability": 0.482177734375}, {"start": 1170.19, "end": 1170.31, "word": " value", "probability": 0.896484375}, {"start": 1170.31, "end": 1170.45, "word": " of", "probability": 0.85595703125}, {"start": 1170.45, "end": 1170.75, "word": " 10", "probability": 0.84228515625}, {"start": 1170.75, "end": 1171.07, "word": " and", "probability": 0.6435546875}, {"start": 1171.07, "end": 1171.27, "word": " in", "probability": 0.430908203125}, {"start": 1171.27, "end": 1171.51, "word": " front", "probability": 0.9541015625}, {"start": 1171.51, "end": 1171.63, "word": " of", "probability": 0.951171875}, {"start": 1171.63, "end": 1171.63, "word": " it", "probability": 0.91015625}, {"start": 1171.63, "end": 1171.69, "word": " a", "probability": 0.76123046875}, {"start": 1171.69, "end": 1171.99, "word": " prism", "probability": 0.947265625}, {"start": 1171.99, "end": 1172.47, "word": " based", "probability": 0.90087890625}, {"start": 1172.47, "end": 1174.15, "word": " up", "probability": 0.95166015625}, {"start": 1174.15, "end": 1174.77, "word": " with", "probability": 0.7626953125}, {"start": 1174.77, "end": 1174.81, "word": " a", "probability": 0.9423828125}, {"start": 1174.81, "end": 1175.03, "word": " value", "probability": 0.97509765625}, {"start": 1175.03, "end": 1175.27, "word": " of", "probability": 0.955078125}, {"start": 1175.27, "end": 1175.73, "word": " 20", "probability": 0.95361328125}, {"start": 1175.73, "end": 1176.19, "word": " prisms", "probability": 0.58349609375}, {"start": 1176.19, "end": 1176.55, "word": " I", "probability": 0.7724609375}, {"start": 1176.55, "end": 1176.95, "word": " use", "probability": 0.603515625}, {"start": 1176.95, "end": 1177.19, "word": " a", "probability": 0.54736328125}, {"start": 1177.19, "end": 1177.47, "word": " prism", "probability": 0.9189453125}, {"start": 1177.47, "end": 1177.89, "word": " 1", "probability": 0.373291015625}, {"start": 1177.89, "end": 1178.07, "word": " that", "probability": 0.35595703125}, {"start": 1178.07, "end": 1178.35, "word": " excludes", "probability": 0.5369873046875}, {"start": 1178.35, "end": 1178.95, "word": " 2", "probability": 0.7080078125}, {"start": 1178.95, "end": 1180.21, "word": " in", "probability": 0.2042236328125}, {"start": 1180.21, "end": 1180.21, "word": " its", "probability": 0.72216796875}, {"start": 1180.21, "end": 1180.61, "word": " direction", "probability": 0.8291015625}], "temperature": 1.0}, {"id": 46, "seek": 119986, "start": 1181.53, "end": 1199.87, "text": "up and out, up and out, its value is twenty two and four out of ten prism, and it tilts to the horizontal axis, so I leave it tilted in front of the eye, at an angle of sixty three and four out of ten degrees in front of the horizontal axis Now let's bring a new example", "tokens": [1010, 293, 484, 11, 493, 293, 484, 11, 1080, 2158, 307, 7699, 732, 293, 1451, 484, 295, 2064, 582, 1434, 11, 293, 309, 8440, 1373, 281, 264, 12750, 10298, 11, 370, 286, 1856, 309, 43229, 294, 1868, 295, 264, 3313, 11, 412, 364, 5802, 295, 21390, 1045, 293, 1451, 484, 295, 2064, 5310, 294, 1868, 295, 264, 12750, 10298, 823, 718, 311, 1565, 257, 777, 1365], "avg_logprob": -0.438432828703923, "compression_ratio": 1.7197452229299364, "no_speech_prob": 5.125999450683594e-06, "words": [{"start": 1181.53, "end": 1182.05, "word": "up", "probability": 0.900390625}, {"start": 1182.05, "end": 1182.51, "word": " and", "probability": 0.96923828125}, {"start": 1182.51, "end": 1182.99, "word": " out,", "probability": 0.90185546875}, {"start": 1183.17, "end": 1183.43, "word": " up", "probability": 0.9052734375}, {"start": 1183.43, "end": 1183.73, "word": " and", "probability": 0.95703125}, {"start": 1183.73, "end": 1184.15, "word": " out,", "probability": 0.9033203125}, {"start": 1184.51, "end": 1184.91, "word": " its", "probability": 0.433837890625}, {"start": 1184.91, "end": 1184.91, "word": " value", "probability": 0.96533203125}, {"start": 1184.91, "end": 1185.25, "word": " is", "probability": 0.6923828125}, {"start": 1185.25, "end": 1186.39, "word": " twenty", "probability": 0.34765625}, {"start": 1186.39, "end": 1186.67, "word": " two", "probability": 0.5615234375}, {"start": 1186.67, "end": 1187.09, "word": " and", "probability": 0.51513671875}, {"start": 1187.09, "end": 1187.35, "word": " four", "probability": 0.9365234375}, {"start": 1187.35, "end": 1187.57, "word": " out", "probability": 0.41748046875}, {"start": 1187.57, "end": 1187.57, "word": " of", "probability": 0.97216796875}, {"start": 1187.57, "end": 1187.83, "word": " ten", "probability": 0.90673828125}, {"start": 1187.83, "end": 1188.31, "word": " prism,", "probability": 0.65625}, {"start": 1188.75, "end": 1189.11, "word": " and", "probability": 0.7919921875}, {"start": 1189.11, "end": 1189.65, "word": " it", "probability": 0.7607421875}, {"start": 1189.65, "end": 1189.87, "word": " tilts", "probability": 0.54510498046875}, {"start": 1189.87, "end": 1190.05, "word": " to", "probability": 0.394775390625}, {"start": 1190.05, "end": 1190.53, "word": " the", "probability": 0.59765625}, {"start": 1190.53, "end": 1190.73, "word": " horizontal", "probability": 0.62109375}, {"start": 1190.73, "end": 1190.75, "word": " axis,", "probability": 0.92431640625}, {"start": 1190.89, "end": 1191.01, "word": " so", "probability": 0.5185546875}, {"start": 1191.01, "end": 1191.09, "word": " I", "probability": 0.55810546875}, {"start": 1191.09, "end": 1191.23, "word": " leave", "probability": 0.2027587890625}, {"start": 1191.23, "end": 1191.43, "word": " it", "probability": 0.9111328125}, {"start": 1191.43, "end": 1191.63, "word": " tilted", "probability": 0.53125}, {"start": 1191.63, "end": 1192.13, "word": " in", "probability": 0.66943359375}, {"start": 1192.13, "end": 1192.87, "word": " front", "probability": 0.81640625}, {"start": 1192.87, "end": 1193.07, "word": " of", "probability": 0.96923828125}, {"start": 1193.07, "end": 1193.43, "word": " the", "probability": 0.572265625}, {"start": 1193.43, "end": 1193.75, "word": " eye,", "probability": 0.82568359375}, {"start": 1194.23, "end": 1194.31, "word": " at", "probability": 0.5185546875}, {"start": 1194.31, "end": 1194.73, "word": " an", "probability": 0.475830078125}, {"start": 1194.73, "end": 1194.73, "word": " angle", "probability": 0.9375}, {"start": 1194.73, "end": 1195.11, "word": " of", "probability": 0.7841796875}, {"start": 1195.11, "end": 1195.69, "word": " sixty", "probability": 0.669921875}, {"start": 1195.69, "end": 1195.79, "word": " three", "probability": 0.69482421875}, {"start": 1195.79, "end": 1195.89, "word": " and", "probability": 0.8486328125}, {"start": 1195.89, "end": 1196.09, "word": " four", "probability": 0.94091796875}, {"start": 1196.09, "end": 1196.23, "word": " out", "probability": 0.69384765625}, {"start": 1196.23, "end": 1196.25, "word": " of", "probability": 0.97216796875}, {"start": 1196.25, "end": 1196.45, "word": " ten", "probability": 0.89892578125}, {"start": 1196.45, "end": 1196.81, "word": " degrees", "probability": 0.63818359375}, {"start": 1196.81, "end": 1196.97, "word": " in", "probability": 0.71484375}, {"start": 1196.97, "end": 1197.15, "word": " front", "probability": 0.9267578125}, {"start": 1197.15, "end": 1197.25, "word": " of", "probability": 0.966796875}, {"start": 1197.25, "end": 1197.31, "word": " the", "probability": 0.89208984375}, {"start": 1197.31, "end": 1197.47, "word": " horizontal", "probability": 0.84765625}, {"start": 1197.47, "end": 1197.77, "word": " axis", "probability": 0.9853515625}, {"start": 1197.77, "end": 1198.91, "word": " Now", "probability": 0.4423828125}, {"start": 1198.91, "end": 1199.21, "word": " let's", "probability": 0.6455078125}, {"start": 1199.21, "end": 1199.35, "word": " bring", "probability": 0.4267578125}, {"start": 1199.35, "end": 1199.49, "word": " a", "probability": 0.53271484375}, {"start": 1199.49, "end": 1199.49, "word": " new", "probability": 0.91162109375}, {"start": 1199.49, "end": 1199.87, "word": " example", "probability": 0.5419921875}], "temperature": 1.0}, {"id": 47, "seek": 124053, "start": 1211.13, "end": 1240.53, "text": "a new example we say as follows, we have a prism here we consider the nasal now, in, in and we consider here five prisms", "tokens": [64, 777, 1365, 321, 584, 382, 10002, 11, 321, 362, 257, 582, 1434, 510, 321, 1949, 264, 41575, 586, 11, 294, 11, 294, 293, 321, 1949, 510, 1732, 582, 13539], "avg_logprob": -0.5987902995078794, "compression_ratio": 1.3636363636363635, "no_speech_prob": 0.0, "words": [{"start": 1211.13, "end": 1211.45, "word": "a", "probability": 0.0555419921875}, {"start": 1211.45, "end": 1212.15, "word": " new", "probability": 0.93359375}, {"start": 1212.15, "end": 1212.23, "word": " example", "probability": 0.260498046875}, {"start": 1212.23, "end": 1216.97, "word": " we", "probability": 0.150146484375}, {"start": 1216.97, "end": 1217.15, "word": " say", "probability": 0.5283203125}, {"start": 1217.15, "end": 1217.31, "word": " as", "probability": 0.572265625}, {"start": 1217.31, "end": 1217.57, "word": " follows,", "probability": 0.313720703125}, {"start": 1217.63, "end": 1217.79, "word": " we", "probability": 0.734375}, {"start": 1217.79, "end": 1217.93, "word": " have", "probability": 0.93017578125}, {"start": 1217.93, "end": 1218.11, "word": " a", "probability": 0.54296875}, {"start": 1218.11, "end": 1218.35, "word": " prism", "probability": 0.880859375}, {"start": 1218.35, "end": 1231.95, "word": " here", "probability": 0.63427734375}, {"start": 1231.95, "end": 1232.21, "word": " we", "probability": 0.8310546875}, {"start": 1232.21, "end": 1232.61, "word": " consider", "probability": 0.74267578125}, {"start": 1232.61, "end": 1232.85, "word": " the", "probability": 0.73779296875}, {"start": 1232.85, "end": 1233.17, "word": " nasal", "probability": 0.61279296875}, {"start": 1233.17, "end": 1233.63, "word": " now,", "probability": 0.3134765625}, {"start": 1233.69, "end": 1233.93, "word": " in,", "probability": 0.39697265625}, {"start": 1234.23, "end": 1234.65, "word": " in", "probability": 0.89501953125}, {"start": 1234.65, "end": 1235.71, "word": " and", "probability": 0.79296875}, {"start": 1235.71, "end": 1236.03, "word": " we", "probability": 0.6962890625}, {"start": 1236.03, "end": 1236.41, "word": " consider", "probability": 0.8564453125}, {"start": 1236.41, "end": 1237.49, "word": " here", "probability": 0.79541015625}, {"start": 1237.49, "end": 1240.09, "word": " five", "probability": 0.693359375}, {"start": 1240.09, "end": 1240.53, "word": " prisms", "probability": 0.8427734375}], "temperature": 1.0}, {"id": 48, "seek": 127135, "start": 1242.22, "end": 1271.36, "text": "and the second prism is on the vertical axis here we cancel the sum at the beginning and cancel the angle and here I have eight prisms one peso or let's say base down four prisms so base in base in five prisms", "tokens": [474, 264, 1150, 582, 1434, 307, 322, 264, 9429, 10298, 510, 321, 10373, 264, 2408, 412, 264, 2863, 293, 10373, 264, 5802, 293, 510, 286, 362, 3180, 582, 13539, 472, 28149, 420, 718, 311, 584, 3096, 760, 1451, 582, 13539, 370, 3096, 294, 3096, 294, 1732, 582, 13539], "avg_logprob": -0.45918367346938777, "compression_ratio": 1.6076923076923078, "no_speech_prob": 0.0, "words": [{"start": 1242.22, "end": 1243.02, "word": "and", "probability": 0.31201171875}, {"start": 1243.02, "end": 1243.74, "word": " the", "probability": 0.8486328125}, {"start": 1243.74, "end": 1243.88, "word": " second", "probability": 0.7197265625}, {"start": 1243.88, "end": 1244.1, "word": " prism", "probability": 0.840087890625}, {"start": 1244.1, "end": 1244.64, "word": " is", "probability": 0.4384765625}, {"start": 1244.64, "end": 1245.02, "word": " on", "probability": 0.356201171875}, {"start": 1245.02, "end": 1245.48, "word": " the", "probability": 0.8369140625}, {"start": 1245.48, "end": 1245.68, "word": " vertical", "probability": 0.347900390625}, {"start": 1245.68, "end": 1245.68, "word": " axis", "probability": 0.962890625}, {"start": 1245.68, "end": 1249.38, "word": " here", "probability": 0.383544921875}, {"start": 1249.38, "end": 1249.54, "word": " we", "probability": 0.54638671875}, {"start": 1249.54, "end": 1249.7, "word": " cancel", "probability": 0.6181640625}, {"start": 1249.7, "end": 1249.94, "word": " the", "probability": 0.76708984375}, {"start": 1249.94, "end": 1250.18, "word": " sum", "probability": 0.155517578125}, {"start": 1250.18, "end": 1250.36, "word": " at", "probability": 0.2132568359375}, {"start": 1250.36, "end": 1250.56, "word": " the", "probability": 0.66015625}, {"start": 1250.56, "end": 1250.72, "word": " beginning", "probability": 0.75341796875}, {"start": 1250.72, "end": 1250.88, "word": " and", "probability": 0.845703125}, {"start": 1250.88, "end": 1251.14, "word": " cancel", "probability": 0.79345703125}, {"start": 1251.14, "end": 1251.56, "word": " the", "probability": 0.8984375}, {"start": 1251.56, "end": 1251.86, "word": " angle", "probability": 0.291259765625}, {"start": 1251.86, "end": 1253.78, "word": " and", "probability": 0.75537109375}, {"start": 1253.78, "end": 1254.0, "word": " here", "probability": 0.7294921875}, {"start": 1254.0, "end": 1254.36, "word": " I", "probability": 0.91796875}, {"start": 1254.36, "end": 1254.64, "word": " have", "probability": 0.92724609375}, {"start": 1254.64, "end": 1256.42, "word": " eight", "probability": 0.489501953125}, {"start": 1256.42, "end": 1257.06, "word": " prisms", "probability": 0.89208984375}, {"start": 1257.06, "end": 1258.52, "word": " one", "probability": 0.83984375}, {"start": 1258.52, "end": 1259.26, "word": " peso", "probability": 0.277587890625}, {"start": 1259.26, "end": 1259.88, "word": " or", "probability": 0.59130859375}, {"start": 1259.88, "end": 1260.1, "word": " let's", "probability": 0.910888671875}, {"start": 1260.1, "end": 1260.26, "word": " say", "probability": 0.9287109375}, {"start": 1260.26, "end": 1260.64, "word": " base", "probability": 0.328125}, {"start": 1260.64, "end": 1261.08, "word": " down", "probability": 0.8427734375}, {"start": 1261.08, "end": 1265.66, "word": " four", "probability": 0.53955078125}, {"start": 1265.66, "end": 1266.22, "word": " prisms", "probability": 0.884521484375}, {"start": 1266.22, "end": 1266.52, "word": " so", "probability": 0.471435546875}, {"start": 1266.52, "end": 1267.0, "word": " base", "probability": 0.74951171875}, {"start": 1267.0, "end": 1267.5, "word": " in", "probability": 0.9306640625}, {"start": 1267.5, "end": 1268.36, "word": " base", "probability": 0.1905517578125}, {"start": 1268.36, "end": 1269.1, "word": " in", "probability": 0.94677734375}, {"start": 1269.1, "end": 1270.9, "word": " five", "probability": 0.76708984375}, {"start": 1270.9, "end": 1271.36, "word": " prisms", "probability": 0.90771484375}], "temperature": 1.0}, {"id": 49, "seek": 128416, "start": 1272.26, "end": 1284.16, "text": "diopter and based on 4 prism diopter, we need their sum, their sum is 4.6", "tokens": [4504, 404, 391, 293, 2361, 322, 1017, 582, 1434, 1026, 404, 391, 11, 321, 643, 641, 2408, 11, 641, 2408, 307, 1017, 13, 21], "avg_logprob": -0.5500000190734863, "compression_ratio": 1.0895522388059702, "no_speech_prob": 0.0, "words": [{"start": 1272.26, "end": 1272.88, "word": "diopter", "probability": 0.7286783854166666}, {"start": 1272.88, "end": 1273.58, "word": " and", "probability": 0.56005859375}, {"start": 1273.58, "end": 1273.9, "word": " based", "probability": 0.279541015625}, {"start": 1273.9, "end": 1274.3, "word": " on", "probability": 0.66455078125}, {"start": 1274.3, "end": 1276.44, "word": " 4", "probability": 0.4609375}, {"start": 1276.44, "end": 1276.86, "word": " prism", "probability": 0.5618896484375}, {"start": 1276.86, "end": 1277.4, "word": " diopter,", "probability": 0.7858072916666666}, {"start": 1277.48, "end": 1277.54, "word": " we", "probability": 0.6513671875}, {"start": 1277.54, "end": 1277.72, "word": " need", "probability": 0.60009765625}, {"start": 1277.72, "end": 1278.48, "word": " their", "probability": 0.6630859375}, {"start": 1278.48, "end": 1278.48, "word": " sum,", "probability": 0.90673828125}, {"start": 1279.28, "end": 1279.9, "word": " their", "probability": 0.693359375}, {"start": 1279.9, "end": 1280.24, "word": " sum", "probability": 0.93408203125}, {"start": 1280.24, "end": 1282.04, "word": " is", "probability": 0.50634765625}, {"start": 1282.04, "end": 1282.9, "word": " 4", "probability": 0.306884765625}, {"start": 1282.9, "end": 1284.16, "word": ".6", "probability": 0.688720703125}], "temperature": 1.0}, {"id": 50, "seek": 131157, "start": 1284.93, "end": 1311.57, "text": "in the horizontal direction, it tilts 38.7 degrees to the horizontal axis 38.7 degrees of course here it is minus because it is below the horizontal meridian below the horizontal meridian let's see this issue in the calculator we say in the square root of 5 squares plus", "tokens": [259, 264, 12750, 3513, 11, 309, 8440, 1373, 12843, 13, 22, 5310, 281, 264, 12750, 10298, 12843, 13, 22, 5310, 295, 1164, 510, 309, 307, 3175, 570, 309, 307, 2507, 264, 12750, 3551, 34681, 2507, 264, 12750, 3551, 34681, 718, 311, 536, 341, 2734, 294, 264, 24993, 321, 584, 294, 264, 3732, 5593, 295, 1025, 19368, 1804], "avg_logprob": -0.5199353530489165, "compression_ratio": 1.836734693877551, "no_speech_prob": 3.5762786865234375e-06, "words": [{"start": 1284.93, "end": 1285.19, "word": "in", "probability": 0.2841796875}, {"start": 1285.19, "end": 1285.99, "word": " the", "probability": 0.35693359375}, {"start": 1285.99, "end": 1286.27, "word": " horizontal", "probability": 0.0762939453125}, {"start": 1286.27, "end": 1286.57, "word": " direction,", "probability": 0.619140625}, {"start": 1287.35, "end": 1287.39, "word": " it", "probability": 0.379638671875}, {"start": 1287.39, "end": 1287.77, "word": " tilts", "probability": 0.58013916015625}, {"start": 1287.77, "end": 1288.49, "word": " 38", "probability": 0.740234375}, {"start": 1288.49, "end": 1289.25, "word": ".7", "probability": 0.94873046875}, {"start": 1289.25, "end": 1290.07, "word": " degrees", "probability": 0.77978515625}, {"start": 1290.07, "end": 1290.35, "word": " to", "probability": 0.35205078125}, {"start": 1290.35, "end": 1290.49, "word": " the", "probability": 0.70654296875}, {"start": 1290.49, "end": 1291.95, "word": " horizontal", "probability": 0.7060546875}, {"start": 1291.95, "end": 1291.97, "word": " axis", "probability": 0.919921875}, {"start": 1291.97, "end": 1292.53, "word": " 38", "probability": 0.29248046875}, {"start": 1292.53, "end": 1293.49, "word": ".7", "probability": 0.988037109375}, {"start": 1293.49, "end": 1294.45, "word": " degrees", "probability": 0.8798828125}, {"start": 1294.45, "end": 1294.91, "word": " of", "probability": 0.222412109375}, {"start": 1294.91, "end": 1294.91, "word": " course", "probability": 0.93896484375}, {"start": 1294.91, "end": 1295.13, "word": " here", "probability": 0.52734375}, {"start": 1295.13, "end": 1295.25, "word": " it", "probability": 0.2249755859375}, {"start": 1295.25, "end": 1295.25, "word": " is", "probability": 0.59375}, {"start": 1295.25, "end": 1295.41, "word": " minus", "probability": 0.63330078125}, {"start": 1295.41, "end": 1295.63, "word": " because", "probability": 0.794921875}, {"start": 1295.63, "end": 1295.81, "word": " it", "probability": 0.83154296875}, {"start": 1295.81, "end": 1295.81, "word": " is", "probability": 0.85791015625}, {"start": 1295.81, "end": 1296.11, "word": " below", "probability": 0.388671875}, {"start": 1296.11, "end": 1296.35, "word": " the", "probability": 0.875}, {"start": 1296.35, "end": 1296.89, "word": " horizontal", "probability": 0.7216796875}, {"start": 1296.89, "end": 1298.11, "word": " meridian", "probability": 0.94677734375}, {"start": 1298.11, "end": 1298.39, "word": " below", "probability": 0.370849609375}, {"start": 1298.39, "end": 1298.59, "word": " the", "probability": 0.8974609375}, {"start": 1298.59, "end": 1299.03, "word": " horizontal", "probability": 0.82177734375}, {"start": 1299.03, "end": 1299.77, "word": " meridian", "probability": 0.98046875}, {"start": 1299.77, "end": 1300.21, "word": " let's", "probability": 0.749267578125}, {"start": 1300.21, "end": 1300.45, "word": " see", "probability": 0.59375}, {"start": 1300.45, "end": 1300.75, "word": " this", "probability": 0.79052734375}, {"start": 1300.75, "end": 1301.13, "word": " issue", "probability": 0.295166015625}, {"start": 1301.13, "end": 1301.29, "word": " in", "probability": 0.3310546875}, {"start": 1301.29, "end": 1301.47, "word": " the", "probability": 0.55419921875}, {"start": 1301.47, "end": 1302.01, "word": " calculator", "probability": 0.95068359375}, {"start": 1302.01, "end": 1302.71, "word": " we", "probability": 0.7080078125}, {"start": 1302.71, "end": 1302.93, "word": " say", "probability": 0.89013671875}, {"start": 1302.93, "end": 1303.67, "word": " in", "probability": 0.3623046875}, {"start": 1303.67, "end": 1303.83, "word": " the", "probability": 0.80908203125}, {"start": 1303.83, "end": 1304.59, "word": " square", "probability": 0.2296142578125}, {"start": 1304.59, "end": 1304.61, "word": " root", "probability": 0.912109375}, {"start": 1304.61, "end": 1306.17, "word": " of", "probability": 0.75537109375}, {"start": 1306.17, "end": 1306.51, "word": " 5", "probability": 0.56298828125}, {"start": 1306.51, "end": 1307.23, "word": " squares", "probability": 0.51025390625}, {"start": 1307.23, "end": 1311.57, "word": " plus", "probability": 0.7724609375}], "temperature": 1.0}, {"id": 51, "seek": 133739, "start": 1314.21, "end": 1337.39, "text": " four squares according to the theory of fithworth is equal to six and four out of ten as the value here turned out to be six and four out of ten now the angle to get it this is the triangle of the column of the angle this is the triangle of the column of the angle this angle I get it in return which is", "tokens": [1451, 19368, 4650, 281, 264, 5261, 295, 3318, 71, 13136, 307, 2681, 281, 2309, 293, 1451, 484, 295, 2064, 382, 264, 2158, 510, 3574, 484, 281, 312, 2309, 293, 1451, 484, 295, 2064, 586, 264, 5802, 281, 483, 309, 341, 307, 264, 13369, 295, 264, 7738, 295, 264, 5802, 341, 307, 264, 13369, 295, 264, 7738, 295, 264, 5802, 341, 5802, 286, 483, 309, 294, 2736, 597, 307], "avg_logprob": -0.5335145169410153, "compression_ratio": 2.0821917808219177, "no_speech_prob": 6.42538070678711e-05, "words": [{"start": 1314.21, "end": 1314.69, "word": " four", "probability": 0.160400390625}, {"start": 1314.69, "end": 1315.29, "word": " squares", "probability": 0.74462890625}, {"start": 1315.29, "end": 1318.79, "word": " according", "probability": 0.422607421875}, {"start": 1318.79, "end": 1318.97, "word": " to", "probability": 0.96044921875}, {"start": 1318.97, "end": 1319.01, "word": " the", "probability": 0.6455078125}, {"start": 1319.01, "end": 1319.33, "word": " theory", "probability": 0.33056640625}, {"start": 1319.33, "end": 1319.49, "word": " of", "probability": 0.9306640625}, {"start": 1319.49, "end": 1320.13, "word": " fithworth", "probability": 0.2575276692708333}, {"start": 1320.13, "end": 1321.13, "word": " is", "probability": 0.1826171875}, {"start": 1321.13, "end": 1321.63, "word": " equal", "probability": 0.73681640625}, {"start": 1321.63, "end": 1322.87, "word": " to", "probability": 0.9150390625}, {"start": 1322.87, "end": 1323.19, "word": " six", "probability": 0.488525390625}, {"start": 1323.19, "end": 1323.45, "word": " and", "probability": 0.5595703125}, {"start": 1323.45, "end": 1323.83, "word": " four", "probability": 0.9296875}, {"start": 1323.83, "end": 1324.23, "word": " out", "probability": 0.1661376953125}, {"start": 1324.23, "end": 1324.23, "word": " of", "probability": 0.97021484375}, {"start": 1324.23, "end": 1324.63, "word": " ten", "probability": 0.9140625}, {"start": 1324.63, "end": 1324.85, "word": " as", "probability": 0.291259765625}, {"start": 1324.85, "end": 1325.15, "word": " the", "probability": 0.48974609375}, {"start": 1325.15, "end": 1325.43, "word": " value", "probability": 0.81640625}, {"start": 1325.43, "end": 1325.69, "word": " here", "probability": 0.52099609375}, {"start": 1325.69, "end": 1326.03, "word": " turned", "probability": 0.25341796875}, {"start": 1326.03, "end": 1326.03, "word": " out", "probability": 0.81103515625}, {"start": 1326.03, "end": 1326.11, "word": " to", "probability": 0.80859375}, {"start": 1326.11, "end": 1326.17, "word": " be", "probability": 0.93994140625}, {"start": 1326.17, "end": 1326.35, "word": " six", "probability": 0.75048828125}, {"start": 1326.35, "end": 1326.55, "word": " and", "probability": 0.8720703125}, {"start": 1326.55, "end": 1326.79, "word": " four", "probability": 0.93798828125}, {"start": 1326.79, "end": 1326.99, "word": " out", "probability": 0.6337890625}, {"start": 1326.99, "end": 1327.07, "word": " of", "probability": 0.97314453125}, {"start": 1327.07, "end": 1327.37, "word": " ten", "probability": 0.9228515625}, {"start": 1327.37, "end": 1328.15, "word": " now", "probability": 0.51953125}, {"start": 1328.15, "end": 1328.35, "word": " the", "probability": 0.625}, {"start": 1328.35, "end": 1328.55, "word": " angle", "probability": 0.5390625}, {"start": 1328.55, "end": 1328.83, "word": " to", "probability": 0.64697265625}, {"start": 1328.83, "end": 1329.31, "word": " get", "probability": 0.41162109375}, {"start": 1329.31, "end": 1329.87, "word": " it", "probability": 0.7998046875}, {"start": 1329.87, "end": 1330.43, "word": " this", "probability": 0.351806640625}, {"start": 1330.43, "end": 1330.61, "word": " is", "probability": 0.82958984375}, {"start": 1330.61, "end": 1330.75, "word": " the", "probability": 0.5478515625}, {"start": 1330.75, "end": 1331.03, "word": " triangle", "probability": 0.4736328125}, {"start": 1331.03, "end": 1331.23, "word": " of", "probability": 0.67919921875}, {"start": 1331.23, "end": 1331.51, "word": " the", "probability": 0.8681640625}, {"start": 1331.51, "end": 1331.51, "word": " column", "probability": 0.132080078125}, {"start": 1331.51, "end": 1331.67, "word": " of", "probability": 0.377685546875}, {"start": 1331.67, "end": 1331.73, "word": " the", "probability": 0.78125}, {"start": 1331.73, "end": 1332.01, "word": " angle", "probability": 0.77197265625}, {"start": 1332.01, "end": 1333.31, "word": " this", "probability": 0.58544921875}, {"start": 1333.31, "end": 1333.31, "word": " is", "probability": 0.505859375}, {"start": 1333.31, "end": 1333.67, "word": " the", "probability": 0.84033203125}, {"start": 1333.67, "end": 1333.67, "word": " triangle", "probability": 0.93212890625}, {"start": 1333.67, "end": 1333.83, "word": " of", "probability": 0.91259765625}, {"start": 1333.83, "end": 1334.07, "word": " the", "probability": 0.91259765625}, {"start": 1334.07, "end": 1334.07, "word": " column", "probability": 0.9345703125}, {"start": 1334.07, "end": 1334.23, "word": " of", "probability": 0.9404296875}, {"start": 1334.23, "end": 1334.35, "word": " the", "probability": 0.9013671875}, {"start": 1334.35, "end": 1334.45, "word": " angle", "probability": 0.82421875}, {"start": 1334.45, "end": 1334.63, "word": " this", "probability": 0.544921875}, {"start": 1334.63, "end": 1334.91, "word": " angle", "probability": 0.8154296875}, {"start": 1334.91, "end": 1335.23, "word": " I", "probability": 0.246337890625}, {"start": 1335.23, "end": 1335.45, "word": " get", "probability": 0.5888671875}, {"start": 1335.45, "end": 1335.71, "word": " it", "probability": 0.5048828125}, {"start": 1335.71, "end": 1335.83, "word": " in", "probability": 0.54345703125}, {"start": 1335.83, "end": 1336.33, "word": " return", "probability": 0.77197265625}, {"start": 1336.33, "end": 1337.09, "word": " which", "probability": 0.677734375}, {"start": 1337.09, "end": 1337.39, "word": " is", "probability": 0.94873046875}], "temperature": 1.0}, {"id": 52, "seek": 134908, "start": 1339.4, "end": 1349.08, "text": "اربعة على خمسة أربعة مقابل على خمسة أربعة على خمسة أربعة مقابل على خمسة أربعة على خمسة أربعة على خمسة", "tokens": [9640, 3555, 27884, 15844, 16490, 2304, 3794, 3660, 5551, 25513, 27884, 3714, 4587, 16758, 1211, 15844, 16490, 2304, 3794, 3660, 5551, 25513, 27884, 15844, 16490, 2304, 3794, 3660, 5551, 25513, 27884, 3714, 4587, 16758, 1211, 15844, 16490, 2304, 3794, 3660, 5551, 25513, 27884, 15844, 16490, 2304, 3794, 3660, 5551, 25513, 27884, 15844, 16490, 2304, 3794, 3660], "avg_logprob": -0.26069079783924837, "compression_ratio": 3.210526315789474, "no_speech_prob": 3.4570693969726562e-06, "words": [{"start": 1339.4, "end": 1340.18, "word": "اربعة", "probability": 0.5042317708333334}, {"start": 1340.18, "end": 1340.58, "word": " على", "probability": 0.70751953125}, {"start": 1340.58, "end": 1341.4, "word": " خمسة", "probability": 0.96826171875}, {"start": 1341.4, "end": 1342.34, "word": " أربعة", "probability": 0.7005615234375}, {"start": 1342.34, "end": 1343.16, "word": " مقابل", "probability": 0.972900390625}, {"start": 1343.16, "end": 1343.32, "word": " على", "probability": 0.8994140625}, {"start": 1343.32, "end": 1343.7, "word": " خمسة", "probability": 0.992919921875}, {"start": 1343.7, "end": 1347.9, "word": " أربعة", "probability": 0.6700236002604166}, {"start": 1347.9, "end": 1348.02, "word": " على", "probability": 0.422607421875}, {"start": 1348.02, "end": 1348.02, "word": " خمسة", "probability": 0.98779296875}, {"start": 1348.02, "end": 1348.02, "word": " أربعة", "probability": 0.8777669270833334}, {"start": 1348.02, "end": 1348.02, "word": " مقابل", "probability": 0.8538818359375}, {"start": 1348.02, "end": 1348.02, "word": " على", "probability": 0.923828125}, {"start": 1348.02, "end": 1348.02, "word": " خمسة", "probability": 0.994873046875}, {"start": 1348.02, "end": 1348.02, "word": " أربعة", "probability": 0.8056640625}, {"start": 1348.02, "end": 1348.02, "word": " على", "probability": 0.62158203125}, {"start": 1348.02, "end": 1348.86, "word": " خمسة", "probability": 0.994384765625}, {"start": 1348.86, "end": 1348.86, "word": " أربعة", "probability": 0.87890625}, {"start": 1348.86, "end": 1348.86, "word": " على", "probability": 0.328857421875}, {"start": 1348.86, "end": 1349.08, "word": " خمسة", "probability": 0.9931640625}], "temperature": 1.0}, {"id": 53, "seek": 139076, "start": 1362.58, "end": 1390.76, "text": "38.6 out of 10 approximately 38.6 out of 10 then 59 is close to 1 here so 38.7 out of 10 so this is the way I deal with vector addition of prisms we stop at this point or before we stop at this point there is a device called Reisli prism", "tokens": [12625, 13, 21, 484, 295, 1266, 10447, 12843, 13, 21, 484, 295, 1266, 550, 24624, 307, 1998, 281, 502, 510, 370, 12843, 13, 22, 484, 295, 1266, 370, 341, 307, 264, 636, 286, 2028, 365, 8062, 4500, 295, 582, 13539, 321, 1590, 412, 341, 935, 420, 949, 321, 1590, 412, 341, 935, 456, 307, 257, 4302, 1219, 1300, 271, 2081, 582, 1434], "avg_logprob": -0.42113094670431955, "compression_ratio": 1.5592105263157894, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 1362.58, "end": 1363.34, "word": "38", "probability": 0.400634765625}, {"start": 1363.34, "end": 1364.1, "word": ".6", "probability": 0.73876953125}, {"start": 1364.1, "end": 1364.56, "word": " out", "probability": 0.09344482421875}, {"start": 1364.56, "end": 1364.56, "word": " of", "probability": 0.97314453125}, {"start": 1364.56, "end": 1364.82, "word": " 10", "probability": 0.9033203125}, {"start": 1364.82, "end": 1366.96, "word": " approximately", "probability": 0.301513671875}, {"start": 1366.96, "end": 1368.62, "word": " 38", "probability": 0.3681640625}, {"start": 1368.62, "end": 1370.26, "word": ".6", "probability": 0.984619140625}, {"start": 1370.26, "end": 1370.46, "word": " out", "probability": 0.74462890625}, {"start": 1370.46, "end": 1370.46, "word": " of", "probability": 0.97705078125}, {"start": 1370.46, "end": 1370.8, "word": " 10", "probability": 0.97509765625}, {"start": 1370.8, "end": 1371.18, "word": " then", "probability": 0.2291259765625}, {"start": 1371.18, "end": 1372.26, "word": " 59", "probability": 0.81396484375}, {"start": 1372.26, "end": 1372.54, "word": " is", "probability": 0.36962890625}, {"start": 1372.54, "end": 1372.74, "word": " close", "probability": 0.168701171875}, {"start": 1372.74, "end": 1372.94, "word": " to", "probability": 0.96337890625}, {"start": 1372.94, "end": 1373.24, "word": " 1", "probability": 0.8837890625}, {"start": 1373.24, "end": 1373.7, "word": " here", "probability": 0.424560546875}, {"start": 1373.7, "end": 1374.18, "word": " so", "probability": 0.3662109375}, {"start": 1374.18, "end": 1374.58, "word": " 38", "probability": 0.88818359375}, {"start": 1374.58, "end": 1375.6, "word": ".7", "probability": 0.989013671875}, {"start": 1375.6, "end": 1376.06, "word": " out", "probability": 0.86962890625}, {"start": 1376.06, "end": 1376.08, "word": " of", "probability": 0.974609375}, {"start": 1376.08, "end": 1376.32, "word": " 10", "probability": 0.97607421875}, {"start": 1376.32, "end": 1376.56, "word": " so", "probability": 0.457763671875}, {"start": 1376.56, "end": 1376.86, "word": " this", "probability": 0.80126953125}, {"start": 1376.86, "end": 1376.88, "word": " is", "probability": 0.310546875}, {"start": 1376.88, "end": 1377.04, "word": " the", "probability": 0.6875}, {"start": 1377.04, "end": 1377.26, "word": " way", "probability": 0.75146484375}, {"start": 1377.26, "end": 1377.66, "word": " I", "probability": 0.669921875}, {"start": 1377.66, "end": 1378.16, "word": " deal", "probability": 0.4755859375}, {"start": 1378.16, "end": 1379.16, "word": " with", "probability": 0.8994140625}, {"start": 1379.16, "end": 1380.06, "word": " vector", "probability": 0.599609375}, {"start": 1380.06, "end": 1380.7, "word": " addition", "probability": 0.8935546875}, {"start": 1380.7, "end": 1381.02, "word": " of", "probability": 0.939453125}, {"start": 1381.02, "end": 1381.52, "word": " prisms", "probability": 0.806396484375}, {"start": 1381.52, "end": 1382.64, "word": " we", "probability": 0.44287109375}, {"start": 1382.64, "end": 1382.96, "word": " stop", "probability": 0.7939453125}, {"start": 1382.96, "end": 1383.3, "word": " at", "probability": 0.78271484375}, {"start": 1383.3, "end": 1383.66, "word": " this", "probability": 0.93017578125}, {"start": 1383.66, "end": 1384.06, "word": " point", "probability": 0.9609375}, {"start": 1384.06, "end": 1385.18, "word": " or", "probability": 0.6962890625}, {"start": 1385.18, "end": 1385.42, "word": " before", "probability": 0.8544921875}, {"start": 1385.42, "end": 1385.66, "word": " we", "probability": 0.68896484375}, {"start": 1385.66, "end": 1385.94, "word": " stop", "probability": 0.880859375}, {"start": 1385.94, "end": 1386.18, "word": " at", "probability": 0.81640625}, {"start": 1386.18, "end": 1386.42, "word": " this", "probability": 0.9375}, {"start": 1386.42, "end": 1386.66, "word": " point", "probability": 0.9638671875}, {"start": 1386.66, "end": 1386.9, "word": " there", "probability": 0.70556640625}, {"start": 1386.9, "end": 1387.52, "word": " is", "probability": 0.79345703125}, {"start": 1387.52, "end": 1388.86, "word": " a", "probability": 0.859375}, {"start": 1388.86, "end": 1389.3, "word": " device", "probability": 0.73681640625}, {"start": 1389.3, "end": 1389.76, "word": " called", "probability": 0.51220703125}, {"start": 1389.76, "end": 1390.38, "word": " Reisli", "probability": 0.4065755208333333}, {"start": 1390.38, "end": 1390.76, "word": " prism", "probability": 0.6849365234375}], "temperature": 1.0}, {"id": 54, "seek": 141162, "start": 1391.72, "end": 1411.62, "text": "Ricely prism is a rotary prism, a prism that rotates, or two prisms that rotate around each other Where do we find this ricely prism? Ricely prism is this picture It is two prisms that rotate opposite each other, counter rotated, this is a scale", "tokens": [49, 573, 356, 582, 1434, 307, 257, 45811, 582, 1434, 11, 257, 582, 1434, 300, 42133, 11, 420, 732, 582, 13539, 300, 13121, 926, 1184, 661, 2305, 360, 321, 915, 341, 5090, 356, 582, 1434, 30, 19386, 356, 582, 1434, 307, 341, 3036, 467, 307, 732, 582, 13539, 300, 13121, 6182, 1184, 661, 11, 5682, 42146, 11, 341, 307, 257, 4373], "avg_logprob": -0.4223790418717169, "compression_ratio": 1.828358208955224, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1391.72, "end": 1392.4, "word": "Ricely", "probability": 0.3426920572916667}, {"start": 1392.4, "end": 1392.68, "word": " prism", "probability": 0.766357421875}, {"start": 1392.68, "end": 1392.84, "word": " is", "probability": 0.6474609375}, {"start": 1392.84, "end": 1393.28, "word": " a", "probability": 0.67626953125}, {"start": 1393.28, "end": 1393.7, "word": " rotary", "probability": 0.82275390625}, {"start": 1393.7, "end": 1394.14, "word": " prism,", "probability": 0.964111328125}, {"start": 1394.76, "end": 1394.96, "word": " a", "probability": 0.2303466796875}, {"start": 1394.96, "end": 1395.18, "word": " prism", "probability": 0.875}, {"start": 1395.18, "end": 1395.4, "word": " that", "probability": 0.4921875}, {"start": 1395.4, "end": 1395.64, "word": " rotates,", "probability": 0.427978515625}, {"start": 1395.98, "end": 1396.18, "word": " or", "probability": 0.57958984375}, {"start": 1396.18, "end": 1396.86, "word": " two", "probability": 0.74560546875}, {"start": 1396.86, "end": 1397.34, "word": " prisms", "probability": 0.90576171875}, {"start": 1397.34, "end": 1397.5, "word": " that", "probability": 0.6943359375}, {"start": 1397.5, "end": 1397.76, "word": " rotate", "probability": 0.765625}, {"start": 1397.76, "end": 1398.12, "word": " around", "probability": 0.8232421875}, {"start": 1398.12, "end": 1398.68, "word": " each", "probability": 0.8671875}, {"start": 1398.68, "end": 1399.06, "word": " other", "probability": 0.8818359375}, {"start": 1399.06, "end": 1400.84, "word": " Where", "probability": 0.340087890625}, {"start": 1400.84, "end": 1401.06, "word": " do", "probability": 0.5302734375}, {"start": 1401.06, "end": 1401.12, "word": " we", "probability": 0.88720703125}, {"start": 1401.12, "end": 1401.36, "word": " find", "probability": 0.869140625}, {"start": 1401.36, "end": 1401.68, "word": " this", "probability": 0.83642578125}, {"start": 1401.68, "end": 1402.12, "word": " ricely", "probability": 0.80224609375}, {"start": 1402.12, "end": 1402.46, "word": " prism?", "probability": 0.93212890625}, {"start": 1402.78, "end": 1403.26, "word": " Ricely", "probability": 0.700927734375}, {"start": 1403.26, "end": 1403.54, "word": " prism", "probability": 0.919677734375}, {"start": 1403.54, "end": 1403.68, "word": " is", "probability": 0.4521484375}, {"start": 1403.68, "end": 1403.74, "word": " this", "probability": 0.449951171875}, {"start": 1403.74, "end": 1404.16, "word": " picture", "probability": 0.66064453125}, {"start": 1404.16, "end": 1406.18, "word": " It", "probability": 0.246337890625}, {"start": 1406.18, "end": 1406.46, "word": " is", "probability": 0.51513671875}, {"start": 1406.46, "end": 1406.66, "word": " two", "probability": 0.72509765625}, {"start": 1406.66, "end": 1407.04, "word": " prisms", "probability": 0.888671875}, {"start": 1407.04, "end": 1407.34, "word": " that", "probability": 0.7607421875}, {"start": 1407.34, "end": 1407.7, "word": " rotate", "probability": 0.7734375}, {"start": 1407.7, "end": 1408.28, "word": " opposite", "probability": 0.348876953125}, {"start": 1408.28, "end": 1408.9, "word": " each", "probability": 0.578125}, {"start": 1408.9, "end": 1408.9, "word": " other,", "probability": 0.896484375}, {"start": 1409.42, "end": 1409.82, "word": " counter", "probability": 0.86279296875}, {"start": 1409.82, "end": 1410.5, "word": " rotated,", "probability": 0.845703125}, {"start": 1410.92, "end": 1411.12, "word": " this", "probability": 0.70947265625}, {"start": 1411.12, "end": 1411.22, "word": " is", "probability": 0.91357421875}, {"start": 1411.22, "end": 1411.32, "word": " a", "probability": 0.54052734375}, {"start": 1411.32, "end": 1411.62, "word": " scale", "probability": 0.85302734375}], "temperature": 1.0}, {"id": 55, "seek": 144177, "start": 1412.59, "end": 1441.77, "text": "this is a scale that gives me their results in any situation they were in in any situation they were in in other words, if we go to the magnifying glass these two libraries in the rice library these two libraries, the base and the base are next to each other and the apex and the apex are next to each other their total is equal to the total of their forces how their total is equal to the total of their forces we go back to the simulation to explain this issue we say as follows", "tokens": [11176, 307, 257, 4373, 300, 2709, 385, 641, 3542, 294, 604, 2590, 436, 645, 294, 294, 604, 2590, 436, 645, 294, 294, 661, 2283, 11, 498, 321, 352, 281, 264, 4944, 5489, 4276, 613, 732, 15148, 294, 264, 5090, 6405, 613, 732, 15148, 11, 264, 3096, 293, 264, 3096, 366, 958, 281, 1184, 661, 293, 264, 48115, 293, 264, 48115, 366, 958, 281, 1184, 661, 641, 3217, 307, 2681, 281, 264, 3217, 295, 641, 5874, 577, 641, 3217, 307, 2681, 281, 264, 3217, 295, 641, 5874, 321, 352, 646, 281, 264, 16575, 281, 2903, 341, 2734, 321, 584, 382, 10002], "avg_logprob": -0.47834158533870585, "compression_ratio": 2.2857142857142856, "no_speech_prob": 6.318092346191406e-06, "words": [{"start": 1412.59, "end": 1412.85, "word": "this", "probability": 0.393310546875}, {"start": 1412.85, "end": 1412.99, "word": " is", "probability": 0.26513671875}, {"start": 1412.99, "end": 1412.99, "word": " a", "probability": 0.7021484375}, {"start": 1412.99, "end": 1413.29, "word": " scale", "probability": 0.85107421875}, {"start": 1413.29, "end": 1413.47, "word": " that", "probability": 0.4384765625}, {"start": 1413.47, "end": 1413.75, "word": " gives", "probability": 0.403564453125}, {"start": 1413.75, "end": 1414.19, "word": " me", "probability": 0.51123046875}, {"start": 1414.19, "end": 1414.69, "word": " their", "probability": 0.6806640625}, {"start": 1414.69, "end": 1415.11, "word": " results", "probability": 0.048065185546875}, {"start": 1415.11, "end": 1416.01, "word": " in", "probability": 0.6318359375}, {"start": 1416.01, "end": 1416.33, "word": " any", "probability": 0.356201171875}, {"start": 1416.33, "end": 1416.77, "word": " situation", "probability": 0.6201171875}, {"start": 1416.77, "end": 1416.89, "word": " they", "probability": 0.580078125}, {"start": 1416.89, "end": 1417.21, "word": " were", "probability": 0.6796875}, {"start": 1417.21, "end": 1417.53, "word": " in", "probability": 0.90234375}, {"start": 1417.53, "end": 1417.79, "word": " in", "probability": 0.343994140625}, {"start": 1417.79, "end": 1418.01, "word": " any", "probability": 0.73779296875}, {"start": 1418.01, "end": 1418.47, "word": " situation", "probability": 0.94580078125}, {"start": 1418.47, "end": 1418.69, "word": " they", "probability": 0.79052734375}, {"start": 1418.69, "end": 1418.95, "word": " were", "probability": 0.88916015625}, {"start": 1418.95, "end": 1419.35, "word": " in", "probability": 0.943359375}, {"start": 1419.35, "end": 1419.77, "word": " in", "probability": 0.64013671875}, {"start": 1419.77, "end": 1420.33, "word": " other", "probability": 0.42041015625}, {"start": 1420.33, "end": 1420.33, "word": " words,", "probability": 0.82861328125}, {"start": 1420.93, "end": 1421.19, "word": " if", "probability": 0.8671875}, {"start": 1421.19, "end": 1421.49, "word": " we", "probability": 0.908203125}, {"start": 1421.49, "end": 1421.49, "word": " go", "probability": 0.52880859375}, {"start": 1421.49, "end": 1421.73, "word": " to", "probability": 0.6318359375}, {"start": 1421.73, "end": 1421.87, "word": " the", "probability": 0.66552734375}, {"start": 1421.87, "end": 1422.65, "word": " magnifying", "probability": 0.1739501953125}, {"start": 1422.65, "end": 1422.65, "word": " glass", "probability": 0.9130859375}, {"start": 1422.65, "end": 1424.77, "word": " these", "probability": 0.43505859375}, {"start": 1424.77, "end": 1425.45, "word": " two", "probability": 0.7373046875}, {"start": 1425.45, "end": 1425.77, "word": " libraries", "probability": 0.030792236328125}, {"start": 1425.77, "end": 1426.19, "word": " in", "probability": 0.630859375}, {"start": 1426.19, "end": 1426.33, "word": " the", "probability": 0.55810546875}, {"start": 1426.33, "end": 1426.55, "word": " rice", "probability": 0.491943359375}, {"start": 1426.55, "end": 1427.09, "word": " library", "probability": 0.38818359375}, {"start": 1427.09, "end": 1427.59, "word": " these", "probability": 0.6240234375}, {"start": 1427.59, "end": 1427.73, "word": " two", "probability": 0.8779296875}, {"start": 1427.73, "end": 1428.05, "word": " libraries,", "probability": 0.9736328125}, {"start": 1428.59, "end": 1429.15, "word": " the", "probability": 0.3720703125}, {"start": 1429.15, "end": 1429.61, "word": " base", "probability": 0.8427734375}, {"start": 1429.61, "end": 1429.77, "word": " and", "probability": 0.77978515625}, {"start": 1429.77, "end": 1429.89, "word": " the", "probability": 0.4423828125}, {"start": 1429.89, "end": 1430.15, "word": " base", "probability": 0.88916015625}, {"start": 1430.15, "end": 1430.29, "word": " are", "probability": 0.666015625}, {"start": 1430.29, "end": 1430.45, "word": " next", "probability": 0.6796875}, {"start": 1430.45, "end": 1430.53, "word": " to", "probability": 0.96337890625}, {"start": 1430.53, "end": 1430.85, "word": " each", "probability": 0.95458984375}, {"start": 1430.85, "end": 1430.85, "word": " other", "probability": 0.88037109375}, {"start": 1430.85, "end": 1431.55, "word": " and", "probability": 0.82080078125}, {"start": 1431.55, "end": 1431.85, "word": " the", "probability": 0.71044921875}, {"start": 1431.85, "end": 1432.11, "word": " apex", "probability": 0.9208984375}, {"start": 1432.11, "end": 1432.29, "word": " and", "probability": 0.93994140625}, {"start": 1432.29, "end": 1432.37, "word": " the", "probability": 0.541015625}, {"start": 1432.37, "end": 1432.59, "word": " apex", "probability": 0.927734375}, {"start": 1432.59, "end": 1432.73, "word": " are", "probability": 0.7275390625}, {"start": 1432.73, "end": 1432.85, "word": " next", "probability": 0.92431640625}, {"start": 1432.85, "end": 1432.93, "word": " to", "probability": 0.96484375}, {"start": 1432.93, "end": 1433.11, "word": " each", "probability": 0.95458984375}, {"start": 1433.11, "end": 1433.11, "word": " other", "probability": 0.8994140625}, {"start": 1433.11, "end": 1433.31, "word": " their", "probability": 0.64404296875}, {"start": 1433.31, "end": 1433.61, "word": " total", "probability": 0.34228515625}, {"start": 1433.61, "end": 1433.93, "word": " is", "probability": 0.55029296875}, {"start": 1433.93, "end": 1434.17, "word": " equal", "probability": 0.728515625}, {"start": 1434.17, "end": 1434.21, "word": " to", "probability": 0.9697265625}, {"start": 1434.21, "end": 1434.31, "word": " the", "probability": 0.5068359375}, {"start": 1434.31, "end": 1434.63, "word": " total", "probability": 0.80517578125}, {"start": 1434.63, "end": 1434.75, "word": " of", "probability": 0.572265625}, {"start": 1434.75, "end": 1434.81, "word": " their", "probability": 0.95556640625}, {"start": 1434.81, "end": 1435.15, "word": " forces", "probability": 0.378173828125}, {"start": 1435.15, "end": 1435.89, "word": " how", "probability": 0.79150390625}, {"start": 1435.89, "end": 1436.07, "word": " their", "probability": 0.63134765625}, {"start": 1436.07, "end": 1436.37, "word": " total", "probability": 0.88330078125}, {"start": 1436.37, "end": 1436.63, "word": " is", "probability": 0.798828125}, {"start": 1436.63, "end": 1436.89, "word": " equal", "probability": 0.892578125}, {"start": 1436.89, "end": 1436.89, "word": " to", "probability": 0.96923828125}, {"start": 1436.89, "end": 1437.01, "word": " the", "probability": 0.65234375}, {"start": 1437.01, "end": 1437.19, "word": " total", "probability": 0.84619140625}, {"start": 1437.19, "end": 1437.33, "word": " of", "probability": 0.95361328125}, {"start": 1437.33, "end": 1437.77, "word": " their", "probability": 0.9609375}, {"start": 1437.77, "end": 1437.77, "word": " forces", "probability": 0.8984375}, {"start": 1437.77, "end": 1438.01, "word": " we", "probability": 0.25341796875}, {"start": 1438.01, "end": 1438.15, "word": " go", "probability": 0.63525390625}, {"start": 1438.15, "end": 1438.25, "word": " back", "probability": 0.86474609375}, {"start": 1438.25, "end": 1438.33, "word": " to", "probability": 0.9609375}, {"start": 1438.33, "end": 1438.45, "word": " the", "probability": 0.6982421875}, {"start": 1438.45, "end": 1438.97, "word": " simulation", "probability": 0.9638671875}, {"start": 1438.97, "end": 1439.33, "word": " to", "probability": 0.833984375}, {"start": 1439.33, "end": 1439.65, "word": " explain", "probability": 0.541015625}, {"start": 1439.65, "end": 1439.99, "word": " this", "probability": 0.92236328125}, {"start": 1439.99, "end": 1440.51, "word": " issue", "probability": 0.346923828125}, {"start": 1440.51, "end": 1440.99, "word": " we", "probability": 0.67578125}, {"start": 1440.99, "end": 1441.21, "word": " say", "probability": 0.85400390625}, {"start": 1441.21, "end": 1441.41, "word": " as", "probability": 0.76123046875}, {"start": 1441.41, "end": 1441.77, "word": " follows", "probability": 0.73779296875}], "temperature": 1.0}, {"id": 56, "seek": 146860, "start": 1443.64, "end": 1468.6, "text": "I have a prism, or I have a prism, for example, its direction is horizontal towards, for example, out, its size is eight prisms and this is also a prism we cancel the sum and cancel the angle", "tokens": [40, 362, 257, 582, 1434, 11, 420, 286, 362, 257, 582, 1434, 11, 337, 1365, 11, 1080, 3513, 307, 12750, 281, 4151, 7800, 82, 11, 337, 1365, 11, 484, 11, 1080, 2744, 307, 3180, 582, 13539, 293, 341, 307, 611, 257, 582, 1434, 321, 10373, 264, 2408, 293, 10373, 264, 5802], "avg_logprob": -0.44801683036180645, "compression_ratio": 1.6050420168067228, "no_speech_prob": 0.0, "words": [{"start": 1443.64, "end": 1443.88, "word": "I", "probability": 0.6201171875}, {"start": 1443.88, "end": 1444.08, "word": " have", "probability": 0.8720703125}, {"start": 1444.08, "end": 1444.24, "word": " a", "probability": 0.6884765625}, {"start": 1444.24, "end": 1444.46, "word": " prism,", "probability": 0.884521484375}, {"start": 1445.14, "end": 1445.46, "word": " or", "probability": 0.2998046875}, {"start": 1445.46, "end": 1445.62, "word": " I", "probability": 0.75732421875}, {"start": 1445.62, "end": 1445.72, "word": " have", "probability": 0.9541015625}, {"start": 1445.72, "end": 1445.82, "word": " a", "probability": 0.92724609375}, {"start": 1445.82, "end": 1446.14, "word": " prism,", "probability": 0.927001953125}, {"start": 1446.88, "end": 1447.0, "word": " for", "probability": 0.85400390625}, {"start": 1447.0, "end": 1447.26, "word": " example,", "probability": 0.92529296875}, {"start": 1447.58, "end": 1447.66, "word": " its", "probability": 0.54736328125}, {"start": 1447.66, "end": 1448.1, "word": " direction", "probability": 0.67236328125}, {"start": 1448.1, "end": 1450.62, "word": " is", "probability": 0.64453125}, {"start": 1450.62, "end": 1454.6, "word": " horizontal", "probability": 0.65087890625}, {"start": 1454.6, "end": 1455.98, "word": " towards,", "probability": 0.6049041748046875}, {"start": 1456.08, "end": 1456.18, "word": " for", "probability": 0.90771484375}, {"start": 1456.18, "end": 1456.38, "word": " example,", "probability": 0.96533203125}, {"start": 1456.6, "end": 1457.06, "word": " out,", "probability": 0.72119140625}, {"start": 1457.68, "end": 1457.72, "word": " its", "probability": 0.352294921875}, {"start": 1457.72, "end": 1457.98, "word": " size", "probability": 0.1917724609375}, {"start": 1457.98, "end": 1458.18, "word": " is", "probability": 0.921875}, {"start": 1458.18, "end": 1458.5, "word": " eight", "probability": 0.62255859375}, {"start": 1458.5, "end": 1458.96, "word": " prisms", "probability": 0.72900390625}, {"start": 1458.96, "end": 1460.32, "word": " and", "probability": 0.58251953125}, {"start": 1460.32, "end": 1460.54, "word": " this", "probability": 0.6591796875}, {"start": 1460.54, "end": 1460.62, "word": " is", "probability": 0.78759765625}, {"start": 1460.62, "end": 1460.86, "word": " also", "probability": 0.7568359375}, {"start": 1460.86, "end": 1461.02, "word": " a", "probability": 0.96728515625}, {"start": 1461.02, "end": 1461.38, "word": " prism", "probability": 0.911865234375}, {"start": 1461.38, "end": 1465.6, "word": " we", "probability": 0.277099609375}, {"start": 1465.6, "end": 1465.76, "word": " cancel", "probability": 0.394775390625}, {"start": 1465.76, "end": 1465.98, "word": " the", "probability": 0.6396484375}, {"start": 1465.98, "end": 1466.2, "word": " sum", "probability": 0.927734375}, {"start": 1466.2, "end": 1467.9, "word": " and", "probability": 0.79052734375}, {"start": 1467.9, "end": 1468.14, "word": " cancel", "probability": 0.8603515625}, {"start": 1468.14, "end": 1468.34, "word": " the", "probability": 0.9091796875}, {"start": 1468.34, "end": 1468.6, "word": " angle", "probability": 0.55322265625}], "temperature": 1.0}, {"id": 57, "seek": 149659, "start": 1470.17, "end": 1496.59, "text": "another prism with the same force and same direction so now I have two prisms, the sum is going to be double the sum is going to be double which is 16 prisms, 16 prisms so 8 prisms and 8 prisms 16 prisms, 16 prisms working on the same direction adding their forces to each other okay now as follows if I came", "tokens": [282, 802, 582, 1434, 365, 264, 912, 3464, 293, 912, 3513, 370, 586, 286, 362, 732, 582, 13539, 11, 264, 2408, 307, 516, 281, 312, 3834, 264, 2408, 307, 516, 281, 312, 3834, 597, 307, 3165, 582, 13539, 11, 3165, 582, 13539, 370, 1649, 582, 13539, 293, 1649, 582, 13539, 3165, 582, 13539, 11, 3165, 582, 13539, 1364, 322, 264, 912, 3513, 5127, 641, 5874, 281, 1184, 661, 1392, 586, 382, 10002, 498, 286, 1361], "avg_logprob": -0.43462170778136505, "compression_ratio": 1.9371069182389937, "no_speech_prob": 0.0, "words": [{"start": 1470.17, "end": 1470.43, "word": "another", "probability": 0.6363525390625}, {"start": 1470.43, "end": 1470.73, "word": " prism", "probability": 0.885498046875}, {"start": 1470.73, "end": 1471.29, "word": " with", "probability": 0.673828125}, {"start": 1471.29, "end": 1471.63, "word": " the", "probability": 0.6982421875}, {"start": 1471.63, "end": 1471.63, "word": " same", "probability": 0.8935546875}, {"start": 1471.63, "end": 1471.99, "word": " force", "probability": 0.5927734375}, {"start": 1471.99, "end": 1472.15, "word": " and", "probability": 0.86279296875}, {"start": 1472.15, "end": 1472.47, "word": " same", "probability": 0.398681640625}, {"start": 1472.47, "end": 1473.11, "word": " direction", "probability": 0.80419921875}, {"start": 1473.11, "end": 1474.13, "word": " so", "probability": 0.2763671875}, {"start": 1474.13, "end": 1474.39, "word": " now", "probability": 0.2159423828125}, {"start": 1474.39, "end": 1474.65, "word": " I", "probability": 0.857421875}, {"start": 1474.65, "end": 1474.65, "word": " have", "probability": 0.91748046875}, {"start": 1474.65, "end": 1474.85, "word": " two", "probability": 0.77392578125}, {"start": 1474.85, "end": 1475.19, "word": " prisms,", "probability": 0.9111328125}, {"start": 1475.33, "end": 1475.43, "word": " the", "probability": 0.364990234375}, {"start": 1475.43, "end": 1475.59, "word": " sum", "probability": 0.92138671875}, {"start": 1475.59, "end": 1476.11, "word": " is", "probability": 0.246337890625}, {"start": 1476.11, "end": 1476.11, "word": " going", "probability": 0.1944580078125}, {"start": 1476.11, "end": 1476.15, "word": " to", "probability": 0.9677734375}, {"start": 1476.15, "end": 1476.51, "word": " be", "probability": 0.826171875}, {"start": 1476.51, "end": 1477.17, "word": " double", "probability": 0.2294921875}, {"start": 1477.17, "end": 1477.97, "word": " the", "probability": 0.4619140625}, {"start": 1477.97, "end": 1478.21, "word": " sum", "probability": 0.94287109375}, {"start": 1478.21, "end": 1478.43, "word": " is", "probability": 0.7314453125}, {"start": 1478.43, "end": 1478.45, "word": " going", "probability": 0.87939453125}, {"start": 1478.45, "end": 1478.45, "word": " to", "probability": 0.96826171875}, {"start": 1478.45, "end": 1478.67, "word": " be", "probability": 0.90478515625}, {"start": 1478.67, "end": 1478.91, "word": " double", "probability": 0.5751953125}, {"start": 1478.91, "end": 1479.25, "word": " which", "probability": 0.48486328125}, {"start": 1479.25, "end": 1479.41, "word": " is", "probability": 0.76806640625}, {"start": 1479.41, "end": 1479.95, "word": " 16", "probability": 0.693359375}, {"start": 1479.95, "end": 1480.87, "word": " prisms,", "probability": 0.880859375}, {"start": 1480.99, "end": 1481.41, "word": " 16", "probability": 0.8173828125}, {"start": 1481.41, "end": 1481.93, "word": " prisms", "probability": 0.915771484375}, {"start": 1481.93, "end": 1482.57, "word": " so", "probability": 0.6796875}, {"start": 1482.57, "end": 1483.09, "word": " 8", "probability": 0.58544921875}, {"start": 1483.09, "end": 1483.57, "word": " prisms", "probability": 0.88037109375}, {"start": 1483.57, "end": 1483.75, "word": " and", "probability": 0.83056640625}, {"start": 1483.75, "end": 1484.13, "word": " 8", "probability": 0.986328125}, {"start": 1484.13, "end": 1484.65, "word": " prisms", "probability": 0.89013671875}, {"start": 1484.65, "end": 1486.83, "word": " 16", "probability": 0.2376708984375}, {"start": 1486.83, "end": 1487.73, "word": " prisms,", "probability": 0.911376953125}, {"start": 1487.83, "end": 1488.27, "word": " 16", "probability": 0.87109375}, {"start": 1488.27, "end": 1488.75, "word": " prisms", "probability": 0.913330078125}, {"start": 1488.75, "end": 1489.17, "word": " working", "probability": 0.275146484375}, {"start": 1489.17, "end": 1489.41, "word": " on", "probability": 0.5810546875}, {"start": 1489.41, "end": 1489.59, "word": " the", "probability": 0.86767578125}, {"start": 1489.59, "end": 1489.79, "word": " same", "probability": 0.9052734375}, {"start": 1489.79, "end": 1490.53, "word": " direction", "probability": 0.89208984375}, {"start": 1490.53, "end": 1491.33, "word": " adding", "probability": 0.2064208984375}, {"start": 1491.33, "end": 1491.55, "word": " their", "probability": 0.87353515625}, {"start": 1491.55, "end": 1491.87, "word": " forces", "probability": 0.541015625}, {"start": 1491.87, "end": 1492.33, "word": " to", "probability": 0.78466796875}, {"start": 1492.33, "end": 1492.75, "word": " each", "probability": 0.8798828125}, {"start": 1492.75, "end": 1492.75, "word": " other", "probability": 0.88818359375}, {"start": 1492.75, "end": 1493.15, "word": " okay", "probability": 0.2327880859375}, {"start": 1493.15, "end": 1494.05, "word": " now", "probability": 0.52392578125}, {"start": 1494.05, "end": 1494.23, "word": " as", "probability": 0.58349609375}, {"start": 1494.23, "end": 1494.65, "word": " follows", "probability": 0.470703125}, {"start": 1494.65, "end": 1495.69, "word": " if", "probability": 0.7177734375}, {"start": 1495.69, "end": 1496.11, "word": " I", "probability": 0.9638671875}, {"start": 1496.11, "end": 1496.59, "word": " came", "probability": 0.4111328125}], "temperature": 1.0}, {"id": 58, "seek": 152312, "start": 1497.3, "end": 1523.12, "text": "I turned them around so that in the end they are opposite to each other, this is the base here of the first prism and this is the base of the second prism, the base with the apex and the apex with the base, so their gain is zero, their gain is zero in another sense, we go back to the simulation, we say if we are one of the two prisms, we cancel it and take one of the two prisms", "tokens": [40, 3574, 552, 926, 370, 300, 294, 264, 917, 436, 366, 6182, 281, 1184, 661, 11, 341, 307, 264, 3096, 510, 295, 264, 700, 582, 1434, 293, 341, 307, 264, 3096, 295, 264, 1150, 582, 1434, 11, 264, 3096, 365, 264, 48115, 293, 264, 48115, 365, 264, 3096, 11, 370, 641, 6052, 307, 4018, 11, 641, 6052, 307, 4018, 294, 1071, 2020, 11, 321, 352, 646, 281, 264, 16575, 11, 321, 584, 498, 321, 366, 472, 295, 264, 732, 582, 13539, 11, 321, 10373, 309, 293, 747, 472, 295, 264, 732, 582, 13539], "avg_logprob": -0.39860372657471516, "compression_ratio": 1.9895287958115184, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 1497.3, "end": 1497.52, "word": "I", "probability": 0.65673828125}, {"start": 1497.52, "end": 1497.72, "word": " turned", "probability": 0.08685302734375}, {"start": 1497.72, "end": 1498.0, "word": " them", "probability": 0.8056640625}, {"start": 1498.0, "end": 1498.2, "word": " around", "probability": 0.5009765625}, {"start": 1498.2, "end": 1498.32, "word": " so", "probability": 0.347900390625}, {"start": 1498.32, "end": 1498.6, "word": " that", "probability": 0.65576171875}, {"start": 1498.6, "end": 1498.74, "word": " in", "probability": 0.1856689453125}, {"start": 1498.74, "end": 1498.94, "word": " the", "probability": 0.90869140625}, {"start": 1498.94, "end": 1499.08, "word": " end", "probability": 0.9111328125}, {"start": 1499.08, "end": 1499.28, "word": " they", "probability": 0.79443359375}, {"start": 1499.28, "end": 1499.52, "word": " are", "probability": 0.53564453125}, {"start": 1499.52, "end": 1499.82, "word": " opposite", "probability": 0.70458984375}, {"start": 1499.82, "end": 1499.98, "word": " to", "probability": 0.279296875}, {"start": 1499.98, "end": 1500.12, "word": " each", "probability": 0.91845703125}, {"start": 1500.12, "end": 1500.12, "word": " other,", "probability": 0.8876953125}, {"start": 1500.2, "end": 1500.32, "word": " this", "probability": 0.693359375}, {"start": 1500.32, "end": 1500.38, "word": " is", "probability": 0.80517578125}, {"start": 1500.38, "end": 1500.46, "word": " the", "probability": 0.9072265625}, {"start": 1500.46, "end": 1500.72, "word": " base", "probability": 0.7626953125}, {"start": 1500.72, "end": 1500.94, "word": " here", "probability": 0.4560546875}, {"start": 1500.94, "end": 1501.16, "word": " of", "probability": 0.65966796875}, {"start": 1501.16, "end": 1501.3, "word": " the", "probability": 0.89013671875}, {"start": 1501.3, "end": 1501.44, "word": " first", "probability": 0.88818359375}, {"start": 1501.44, "end": 1501.58, "word": " prism", "probability": 0.908203125}, {"start": 1501.58, "end": 1502.16, "word": " and", "probability": 0.6875}, {"start": 1502.16, "end": 1502.32, "word": " this", "probability": 0.89697265625}, {"start": 1502.32, "end": 1502.36, "word": " is", "probability": 0.9111328125}, {"start": 1502.36, "end": 1502.48, "word": " the", "probability": 0.9111328125}, {"start": 1502.48, "end": 1502.76, "word": " base", "probability": 0.84130859375}, {"start": 1502.76, "end": 1503.36, "word": " of", "probability": 0.91650390625}, {"start": 1503.36, "end": 1503.54, "word": " the", "probability": 0.91650390625}, {"start": 1503.54, "end": 1504.22, "word": " second", "probability": 0.87158203125}, {"start": 1504.22, "end": 1504.22, "word": " prism,", "probability": 0.923095703125}, {"start": 1504.32, "end": 1504.5, "word": " the", "probability": 0.6962890625}, {"start": 1504.5, "end": 1504.84, "word": " base", "probability": 0.89306640625}, {"start": 1504.84, "end": 1505.06, "word": " with", "probability": 0.818359375}, {"start": 1505.06, "end": 1505.24, "word": " the", "probability": 0.64306640625}, {"start": 1505.24, "end": 1505.58, "word": " apex", "probability": 0.9208984375}, {"start": 1505.58, "end": 1506.12, "word": " and", "probability": 0.83544921875}, {"start": 1506.12, "end": 1506.28, "word": " the", "probability": 0.849609375}, {"start": 1506.28, "end": 1506.6, "word": " apex", "probability": 0.90283203125}, {"start": 1506.6, "end": 1506.88, "word": " with", "probability": 0.90087890625}, {"start": 1506.88, "end": 1507.08, "word": " the", "probability": 0.90185546875}, {"start": 1507.08, "end": 1507.32, "word": " base,", "probability": 0.91796875}, {"start": 1507.46, "end": 1507.62, "word": " so", "probability": 0.6044921875}, {"start": 1507.62, "end": 1507.84, "word": " their", "probability": 0.71142578125}, {"start": 1507.84, "end": 1508.18, "word": " gain", "probability": 0.1080322265625}, {"start": 1508.18, "end": 1508.48, "word": " is", "probability": 0.923828125}, {"start": 1508.48, "end": 1508.76, "word": " zero,", "probability": 0.79736328125}, {"start": 1509.22, "end": 1509.3, "word": " their", "probability": 0.78369140625}, {"start": 1509.3, "end": 1509.7, "word": " gain", "probability": 0.95849609375}, {"start": 1509.7, "end": 1510.02, "word": " is", "probability": 0.93212890625}, {"start": 1510.02, "end": 1510.32, "word": " zero", "probability": 0.87548828125}, {"start": 1510.32, "end": 1510.88, "word": " in", "probability": 0.31787109375}, {"start": 1510.88, "end": 1511.5, "word": " another", "probability": 0.83544921875}, {"start": 1511.5, "end": 1511.5, "word": " sense,", "probability": 0.384765625}, {"start": 1511.7, "end": 1511.84, "word": " we", "probability": 0.54150390625}, {"start": 1511.84, "end": 1511.92, "word": " go", "probability": 0.66064453125}, {"start": 1511.92, "end": 1512.04, "word": " back", "probability": 0.86962890625}, {"start": 1512.04, "end": 1512.1, "word": " to", "probability": 0.9697265625}, {"start": 1512.1, "end": 1512.22, "word": " the", "probability": 0.7607421875}, {"start": 1512.22, "end": 1512.86, "word": " simulation,", "probability": 0.96875}, {"start": 1513.6, "end": 1513.76, "word": " we", "probability": 0.86865234375}, {"start": 1513.76, "end": 1513.96, "word": " say", "probability": 0.93115234375}, {"start": 1513.96, "end": 1514.18, "word": " if", "probability": 0.68994140625}, {"start": 1514.18, "end": 1514.54, "word": " we", "probability": 0.83544921875}, {"start": 1514.54, "end": 1514.54, "word": " are", "probability": 0.392822265625}, {"start": 1514.54, "end": 1514.78, "word": " one", "probability": 0.9091796875}, {"start": 1514.78, "end": 1514.96, "word": " of", "probability": 0.94140625}, {"start": 1514.96, "end": 1514.96, "word": " the", "probability": 0.72216796875}, {"start": 1514.96, "end": 1515.08, "word": " two", "probability": 0.86376953125}, {"start": 1515.08, "end": 1515.36, "word": " prisms,", "probability": 0.9208984375}, {"start": 1518.96, "end": 1519.98, "word": " we", "probability": 0.6728515625}, {"start": 1519.98, "end": 1520.14, "word": " cancel", "probability": 0.1109619140625}, {"start": 1520.14, "end": 1520.56, "word": " it", "probability": 0.6025390625}, {"start": 1520.56, "end": 1521.22, "word": " and", "probability": 0.54931640625}, {"start": 1521.22, "end": 1522.26, "word": " take", "probability": 0.7265625}, {"start": 1522.26, "end": 1522.58, "word": " one", "probability": 0.91552734375}, {"start": 1522.58, "end": 1522.72, "word": " of", "probability": 0.97021484375}, {"start": 1522.72, "end": 1522.82, "word": " the", "probability": 0.9033203125}, {"start": 1522.82, "end": 1522.98, "word": " two", "probability": 0.92431640625}, {"start": 1522.98, "end": 1523.12, "word": " prisms", "probability": 0.9130859375}], "temperature": 1.0}, {"id": 59, "seek": 155382, "start": 1527.42, "end": 1553.82, "text": "Let's make it the other way around Let's make this case here So that we can .. this is 8 prism Y must also be 8 prism This is 8 prism We come and ask for sum", "tokens": [8373, 311, 652, 309, 264, 661, 636, 926, 961, 311, 652, 341, 1389, 510, 407, 300, 321, 393, 4386, 341, 307, 1649, 582, 1434, 398, 1633, 611, 312, 1649, 582, 1434, 639, 307, 1649, 582, 1434, 492, 808, 293, 1029, 337, 2408], "avg_logprob": -0.70494184937588, "compression_ratio": 1.4017857142857142, "no_speech_prob": 0.0, "words": [{"start": 1527.42, "end": 1527.74, "word": "Let's", "probability": 0.29425048828125}, {"start": 1527.74, "end": 1527.98, "word": " make", "probability": 0.300537109375}, {"start": 1527.98, "end": 1528.46, "word": " it", "probability": 0.7158203125}, {"start": 1528.46, "end": 1528.56, "word": " the", "probability": 0.202392578125}, {"start": 1528.56, "end": 1528.84, "word": " other", "probability": 0.3623046875}, {"start": 1528.84, "end": 1528.84, "word": " way", "probability": 0.9306640625}, {"start": 1528.84, "end": 1538.36, "word": " around", "probability": 0.83837890625}, {"start": 1538.36, "end": 1540.76, "word": " Let's", "probability": 0.592529296875}, {"start": 1540.76, "end": 1540.94, "word": " make", "probability": 0.283935546875}, {"start": 1540.94, "end": 1541.24, "word": " this", "probability": 0.66796875}, {"start": 1541.24, "end": 1541.62, "word": " case", "probability": 0.452392578125}, {"start": 1541.62, "end": 1542.32, "word": " here", "probability": 0.76123046875}, {"start": 1542.32, "end": 1543.68, "word": " So", "probability": 0.323486328125}, {"start": 1543.68, "end": 1543.86, "word": " that", "probability": 0.4697265625}, {"start": 1543.86, "end": 1543.98, "word": " we", "probability": 0.88330078125}, {"start": 1543.98, "end": 1544.26, "word": " can", "probability": 0.88916015625}, {"start": 1544.26, "end": 1544.38, "word": " ..", "probability": 0.10052490234375}, {"start": 1544.38, "end": 1544.58, "word": " this", "probability": 0.2073974609375}, {"start": 1544.58, "end": 1544.62, "word": " is", "probability": 0.79345703125}, {"start": 1544.62, "end": 1544.98, "word": " 8", "probability": 0.483154296875}, {"start": 1544.98, "end": 1545.44, "word": " prism", "probability": 0.5616455078125}, {"start": 1545.44, "end": 1547.12, "word": " Y", "probability": 0.1319580078125}, {"start": 1547.12, "end": 1547.56, "word": " must", "probability": 0.33935546875}, {"start": 1547.56, "end": 1547.86, "word": " also", "probability": 0.75048828125}, {"start": 1547.86, "end": 1548.16, "word": " be", "probability": 0.87744140625}, {"start": 1548.16, "end": 1548.52, "word": " 8", "probability": 0.890625}, {"start": 1548.52, "end": 1549.08, "word": " prism", "probability": 0.912841796875}, {"start": 1549.08, "end": 1551.76, "word": " This", "probability": 0.53173828125}, {"start": 1551.76, "end": 1551.82, "word": " is", "probability": 0.93505859375}, {"start": 1551.82, "end": 1552.12, "word": " 8", "probability": 0.90625}, {"start": 1552.12, "end": 1552.5, "word": " prism", "probability": 0.919921875}, {"start": 1552.5, "end": 1552.72, "word": " We", "probability": 0.2322998046875}, {"start": 1552.72, "end": 1552.78, "word": " come", "probability": 0.34521484375}, {"start": 1552.78, "end": 1553.02, "word": " and", "probability": 0.391357421875}, {"start": 1553.02, "end": 1553.3, "word": " ask", "probability": 0.55322265625}, {"start": 1553.3, "end": 1553.54, "word": " for", "probability": 0.67724609375}, {"start": 1553.54, "end": 1553.82, "word": " sum", "probability": 0.61962890625}], "temperature": 1.0}, {"id": 60, "seek": 156899, "start": 1554.79, "end": 1568.99, "text": "مافيش صم لإن الصم يديهش صفر الصم صفر لإن هذا تمانية برزم عكس تمانية برزم إذا قوتهم المحصلة صفر قوتهم المحصلة صفر لو أنا زودت واحد", "tokens": [15042, 41185, 8592, 20328, 2304, 5296, 28814, 1863, 31767, 2304, 7251, 16254, 3224, 8592, 20328, 5172, 2288, 31767, 2304, 20328, 5172, 2288, 5296, 28814, 1863, 23758, 46811, 7649, 10632, 4724, 2288, 11622, 2304, 6225, 4117, 3794, 46811, 7649, 10632, 4724, 2288, 11622, 2304, 11933, 15730, 12174, 35473, 16095, 9673, 5016, 9381, 37977, 20328, 5172, 2288, 12174, 35473, 16095, 9673, 5016, 9381, 37977, 20328, 5172, 2288, 45164, 41850, 30767, 23328, 2655, 36764, 24401], "avg_logprob": -0.19049656881044988, "compression_ratio": 1.8943089430894309, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 1554.79, "end": 1555.27, "word": "مافيش", "probability": 0.656982421875}, {"start": 1555.27, "end": 1555.63, "word": " صم", "probability": 0.814697265625}, {"start": 1555.63, "end": 1555.99, "word": " لإن", "probability": 0.8204752604166666}, {"start": 1555.99, "end": 1556.47, "word": " الصم", "probability": 0.834716796875}, {"start": 1556.47, "end": 1557.49, "word": " يديهش", "probability": 0.6859130859375}, {"start": 1557.49, "end": 1558.21, "word": " صفر", "probability": 0.9664713541666666}, {"start": 1558.21, "end": 1558.81, "word": " الصم", "probability": 0.724853515625}, {"start": 1558.81, "end": 1559.37, "word": " صفر", "probability": 0.97802734375}, {"start": 1559.37, "end": 1559.91, "word": " لإن", "probability": 0.9842122395833334}, {"start": 1559.91, "end": 1560.19, "word": " هذا", "probability": 0.446044921875}, {"start": 1560.19, "end": 1560.63, "word": " تمانية", "probability": 0.8870442708333334}, {"start": 1560.63, "end": 1561.07, "word": " برزم", "probability": 0.66595458984375}, {"start": 1561.07, "end": 1561.69, "word": " عكس", "probability": 0.880859375}, {"start": 1561.69, "end": 1562.29, "word": " تمانية", "probability": 0.9715169270833334}, {"start": 1562.29, "end": 1562.75, "word": " برزم", "probability": 0.9747314453125}, {"start": 1562.75, "end": 1563.01, "word": " إذا", "probability": 0.6214599609375}, {"start": 1563.01, "end": 1563.69, "word": " قوتهم", "probability": 0.9788411458333334}, {"start": 1563.69, "end": 1564.87, "word": " المحصلة", "probability": 0.84063720703125}, {"start": 1564.87, "end": 1565.57, "word": " صفر", "probability": 0.9832356770833334}, {"start": 1565.57, "end": 1566.13, "word": " قوتهم", "probability": 0.8805338541666666}, {"start": 1566.13, "end": 1566.81, "word": " المحصلة", "probability": 0.956787109375}, {"start": 1566.81, "end": 1567.27, "word": " صفر", "probability": 0.9876302083333334}, {"start": 1567.27, "end": 1567.69, "word": " لو", "probability": 0.8486328125}, {"start": 1567.69, "end": 1567.97, "word": " أنا", "probability": 0.80078125}, {"start": 1567.97, "end": 1568.45, "word": " زودت", "probability": 0.85888671875}, {"start": 1568.45, "end": 1568.99, "word": " واحد", "probability": 0.993408203125}], "temperature": 1.0}, {"id": 61, "seek": 159272, "start": 1571.26, "end": 1592.72, "text": "it became a sum for me, it became a sum for me, of course I drew it here, but then there was no completion for me to draw clearly here, so here I added it to the right direction, so I got the result here if I didn't find the sum, one prism, because this is nine, this became nine, this became nine, and this is eight, eight", "tokens": [270, 3062, 257, 2408, 337, 385, 11, 309, 3062, 257, 2408, 337, 385, 11, 295, 1164, 286, 12804, 309, 510, 11, 457, 550, 456, 390, 572, 19372, 337, 385, 281, 2642, 4448, 510, 11, 370, 510, 286, 3869, 309, 281, 264, 558, 3513, 11, 370, 286, 658, 264, 1874, 510, 498, 286, 994, 380, 915, 264, 2408, 11, 472, 582, 1434, 11, 570, 341, 307, 4949, 11, 341, 3062, 4949, 11, 341, 3062, 4949, 11, 293, 341, 307, 3180, 11, 3180], "avg_logprob": -0.5304877830714714, "compression_ratio": 1.8563218390804597, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 1571.26, "end": 1571.54, "word": "it", "probability": 0.208984375}, {"start": 1571.54, "end": 1571.72, "word": " became", "probability": 0.49560546875}, {"start": 1571.72, "end": 1572.52, "word": " a", "probability": 0.187744140625}, {"start": 1572.52, "end": 1572.78, "word": " sum", "probability": 0.91650390625}, {"start": 1572.78, "end": 1572.86, "word": " for", "probability": 0.12261962890625}, {"start": 1572.86, "end": 1572.86, "word": " me,", "probability": 0.93896484375}, {"start": 1572.86, "end": 1573.12, "word": " it", "probability": 0.470458984375}, {"start": 1573.12, "end": 1573.26, "word": " became", "probability": 0.8955078125}, {"start": 1573.26, "end": 1573.48, "word": " a", "probability": 0.951171875}, {"start": 1573.48, "end": 1573.9, "word": " sum", "probability": 0.919921875}, {"start": 1573.9, "end": 1573.92, "word": " for", "probability": 0.83642578125}, {"start": 1573.92, "end": 1573.92, "word": " me,", "probability": 0.9697265625}, {"start": 1574.16, "end": 1574.3, "word": " of", "probability": 0.66162109375}, {"start": 1574.3, "end": 1574.34, "word": " course", "probability": 0.94580078125}, {"start": 1574.34, "end": 1574.6, "word": " I", "probability": 0.8408203125}, {"start": 1574.6, "end": 1574.78, "word": " drew", "probability": 0.87548828125}, {"start": 1574.78, "end": 1575.04, "word": " it", "probability": 0.362548828125}, {"start": 1575.04, "end": 1575.22, "word": " here,", "probability": 0.51904296875}, {"start": 1575.32, "end": 1575.46, "word": " but", "probability": 0.8876953125}, {"start": 1575.46, "end": 1575.76, "word": " then", "probability": 0.51123046875}, {"start": 1575.76, "end": 1576.34, "word": " there", "probability": 0.281494140625}, {"start": 1576.34, "end": 1576.68, "word": " was", "probability": 0.38720703125}, {"start": 1576.68, "end": 1576.8, "word": " no", "probability": 0.86865234375}, {"start": 1576.8, "end": 1577.18, "word": " completion", "probability": 0.494873046875}, {"start": 1577.18, "end": 1577.58, "word": " for", "probability": 0.64013671875}, {"start": 1577.58, "end": 1577.58, "word": " me", "probability": 0.38525390625}, {"start": 1577.58, "end": 1577.72, "word": " to", "probability": 0.33154296875}, {"start": 1577.72, "end": 1577.96, "word": " draw", "probability": 0.52978515625}, {"start": 1577.96, "end": 1578.34, "word": " clearly", "probability": 0.17724609375}, {"start": 1578.34, "end": 1578.74, "word": " here,", "probability": 0.7646484375}, {"start": 1579.08, "end": 1579.46, "word": " so", "probability": 0.82080078125}, {"start": 1579.46, "end": 1580.4, "word": " here", "probability": 0.4892578125}, {"start": 1580.4, "end": 1580.52, "word": " I", "probability": 0.9013671875}, {"start": 1580.52, "end": 1580.78, "word": " added", "probability": 0.625}, {"start": 1580.78, "end": 1580.98, "word": " it", "probability": 0.1785888671875}, {"start": 1580.98, "end": 1581.0, "word": " to", "probability": 0.52294921875}, {"start": 1581.0, "end": 1581.1, "word": " the", "probability": 0.8603515625}, {"start": 1581.1, "end": 1581.78, "word": " right", "probability": 0.81201171875}, {"start": 1581.78, "end": 1581.82, "word": " direction,", "probability": 0.5224609375}, {"start": 1582.04, "end": 1582.12, "word": " so", "probability": 0.650390625}, {"start": 1582.12, "end": 1582.18, "word": " I", "probability": 0.494384765625}, {"start": 1582.18, "end": 1582.36, "word": " got", "probability": 0.689453125}, {"start": 1582.36, "end": 1582.74, "word": " the", "probability": 0.71728515625}, {"start": 1582.74, "end": 1583.12, "word": " result", "probability": 0.280517578125}, {"start": 1583.12, "end": 1584.14, "word": " here", "probability": 0.41064453125}, {"start": 1584.14, "end": 1585.02, "word": " if", "probability": 0.4140625}, {"start": 1585.02, "end": 1585.24, "word": " I", "probability": 0.7880859375}, {"start": 1585.24, "end": 1585.36, "word": " didn't", "probability": 0.696533203125}, {"start": 1585.36, "end": 1585.36, "word": " find", "probability": 0.59326171875}, {"start": 1585.36, "end": 1585.58, "word": " the", "probability": 0.84814453125}, {"start": 1585.58, "end": 1585.8, "word": " sum,", "probability": 0.94970703125}, {"start": 1586.3, "end": 1586.7, "word": " one", "probability": 0.466796875}, {"start": 1586.7, "end": 1587.18, "word": " prism,", "probability": 0.693115234375}, {"start": 1587.24, "end": 1587.36, "word": " because", "probability": 0.8505859375}, {"start": 1587.36, "end": 1587.56, "word": " this", "probability": 0.8193359375}, {"start": 1587.56, "end": 1587.6, "word": " is", "probability": 0.83642578125}, {"start": 1587.6, "end": 1587.96, "word": " nine,", "probability": 0.84912109375}, {"start": 1588.26, "end": 1588.48, "word": " this", "probability": 0.82470703125}, {"start": 1588.48, "end": 1588.76, "word": " became", "probability": 0.40625}, {"start": 1588.76, "end": 1589.18, "word": " nine,", "probability": 0.93310546875}, {"start": 1589.96, "end": 1590.16, "word": " this", "probability": 0.87890625}, {"start": 1590.16, "end": 1590.42, "word": " became", "probability": 0.75927734375}, {"start": 1590.42, "end": 1590.74, "word": " nine,", "probability": 0.93896484375}, {"start": 1590.8, "end": 1590.9, "word": " and", "probability": 0.7802734375}, {"start": 1590.9, "end": 1591.08, "word": " this", "probability": 0.93359375}, {"start": 1591.08, "end": 1591.16, "word": " is", "probability": 0.734375}, {"start": 1591.16, "end": 1591.58, "word": " eight,", "probability": 0.88818359375}, {"start": 1592.28, "end": 1592.72, "word": " eight", "probability": 0.83544921875}], "temperature": 1.0}, {"id": 62, "seek": 160184, "start": 1598.06, "end": 1601.84, "text": "in the rise liberalism", "tokens": [259, 264, 6272, 13767, 1434], "avg_logprob": -1.07812503973643, "compression_ratio": 0.7333333333333333, "no_speech_prob": 3.635883331298828e-06, "words": [{"start": 1598.0599999999997, "end": 1599.4599999999998, "word": "in", "probability": 0.156494140625}, {"start": 1599.4599999999998, "end": 1600.86, "word": " the", "probability": 0.342041015625}, {"start": 1600.86, "end": 1601.28, "word": " rise", "probability": 0.12335205078125}, {"start": 1601.28, "end": 1601.84, "word": " liberalism", "probability": 0.7269287109375}], "temperature": 1.0}, {"id": 63, "seek": 163228, "start": 1602.7, "end": 1632.28, "text": "mungkin انا يكونوا apex و apex مع بعض و base و base مع بعض بيكون قوتهم مضافة ل بعض ل بعض بيكون مجموعهم او ال prism المكافئ لهم ضعفهم طيب ممكن يكونوا عكس بعض تماما قوتهم الحصيلة بتاعتهم صفر طب ممكن واحد يكون مايل بالنسبة للتاني بنرجع ل ال vector addition of ال prism طيب ايش استفدنا؟ لأ في هنا فرق ان هذا ال prismين محتوطين ضمن housing ضمن بيت معين او", "tokens": [76, 26105, 1975, 8315, 7251, 30544, 14407, 48115, 4032, 48115, 20449, 45030, 11242, 4032, 3096, 4032, 3096, 20449, 45030, 11242, 4724, 1829, 30544, 12174, 35473, 16095, 3714, 11242, 31845, 3660, 5296, 45030, 11242, 5296, 45030, 11242, 4724, 1829, 30544, 3714, 7435, 2304, 45367, 16095, 1975, 2407, 2423, 582, 1434, 9673, 4117, 31845, 19986, 5296, 16095, 48812, 3615, 5172, 16095, 23032, 1829, 3555, 3714, 43020, 7251, 30544, 14407, 6225, 4117, 3794, 45030, 11242, 46811, 10943, 995, 12174, 35473, 16095, 21542, 9381, 26895, 3660, 39894, 995, 34268, 16095, 20328, 5172, 2288, 23032, 3555, 3714, 43020, 36764, 24401, 7251, 30544, 19446, 26895, 20666, 1863, 35457, 3660, 24976, 2655, 7649, 1829, 44945, 47341, 3615, 5296, 2423, 8062, 4500, 295, 2423, 582, 1434, 23032, 1829, 3555, 1975, 1829, 8592, 44713, 5172, 3215, 8315, 22807, 5296, 10721, 8978, 34105, 6156, 2288, 4587, 16472, 23758, 2423, 582, 1434, 9957, 3714, 33753, 2407, 9566, 9957, 48812, 27842, 6849, 48812, 27842, 4724, 36081, 20449, 9957, 1975, 2407], "avg_logprob": -0.17148191973848162, "compression_ratio": 1.899665551839465, "no_speech_prob": 0.65185546875, "words": [{"start": 1602.7, "end": 1603.16, "word": "mungkin", "probability": 0.3175048828125}, {"start": 1603.16, "end": 1603.46, "word": " انا", "probability": 0.720458984375}, {"start": 1603.46, "end": 1603.98, "word": " يكونوا", "probability": 0.87841796875}, {"start": 1603.98, "end": 1604.42, "word": " apex", "probability": 0.640625}, {"start": 1604.42, "end": 1604.86, "word": " و", "probability": 0.8740234375}, {"start": 1604.86, "end": 1605.16, "word": " apex", "probability": 0.81884765625}, {"start": 1605.16, "end": 1605.4, "word": " مع", "probability": 0.98388671875}, {"start": 1605.4, "end": 1605.72, "word": " بعض", "probability": 0.990478515625}, {"start": 1605.72, "end": 1605.84, "word": " و", "probability": 0.94580078125}, {"start": 1605.84, "end": 1606.06, "word": " base", "probability": 0.8994140625}, {"start": 1606.06, "end": 1606.18, "word": " و", "probability": 0.99169921875}, {"start": 1606.18, "end": 1606.36, "word": " base", "probability": 0.90869140625}, {"start": 1606.36, "end": 1606.54, "word": " مع", "probability": 0.99072265625}, {"start": 1606.54, "end": 1606.8, "word": " بعض", "probability": 0.9951171875}, {"start": 1606.8, "end": 1607.1, "word": " بيكون", "probability": 0.8126627604166666}, {"start": 1607.1, "end": 1607.7, "word": " قوتهم", "probability": 0.9806315104166666}, {"start": 1607.7, "end": 1609.2, "word": " مضافة", "probability": 0.9815673828125}, {"start": 1609.2, "end": 1609.3, "word": " ل", "probability": 0.94091796875}, {"start": 1609.3, "end": 1609.54, "word": " بعض", "probability": 0.894287109375}, {"start": 1609.54, "end": 1609.66, "word": " ل", "probability": 0.8193359375}, {"start": 1609.66, "end": 1609.88, "word": " بعض", "probability": 0.98974609375}, {"start": 1609.88, "end": 1610.16, "word": " بيكون", "probability": 0.86962890625}, {"start": 1610.16, "end": 1610.98, "word": " مجموعهم", "probability": 0.9654296875}, {"start": 1610.98, "end": 1611.46, "word": " او", "probability": 0.8466796875}, {"start": 1611.46, "end": 1611.56, "word": " ال", "probability": 0.92138671875}, {"start": 1611.56, "end": 1611.84, "word": " prism", "probability": 0.6134033203125}, {"start": 1611.84, "end": 1612.36, "word": " المكافئ", "probability": 0.964599609375}, {"start": 1612.36, "end": 1612.74, "word": " لهم", "probability": 0.749755859375}, {"start": 1612.74, "end": 1613.36, "word": " ضعفهم", "probability": 0.9700927734375}, {"start": 1613.36, "end": 1613.98, "word": " طيب", "probability": 0.8483072916666666}, {"start": 1613.98, "end": 1614.6, "word": " ممكن", "probability": 0.93896484375}, {"start": 1614.6, "end": 1615.06, "word": " يكونوا", "probability": 0.9840494791666666}, {"start": 1615.06, "end": 1615.3, "word": " عكس", "probability": 0.9860026041666666}, {"start": 1615.3, "end": 1615.6, "word": " بعض", "probability": 0.977783203125}, {"start": 1615.6, "end": 1616.14, "word": " تماما", "probability": 0.9938151041666666}, {"start": 1616.14, "end": 1617.04, "word": " قوتهم", "probability": 0.9314778645833334}, {"start": 1617.04, "end": 1617.84, "word": " الحصيلة", "probability": 0.9005126953125}, {"start": 1617.84, "end": 1618.3, "word": " بتاعتهم", "probability": 0.9345703125}, {"start": 1618.3, "end": 1618.66, "word": " صفر", "probability": 0.9617513020833334}, {"start": 1618.66, "end": 1619.16, "word": " طب", "probability": 0.871826171875}, {"start": 1619.16, "end": 1619.42, "word": " ممكن", "probability": 0.9921875}, {"start": 1619.42, "end": 1619.74, "word": " واحد", "probability": 0.97998046875}, {"start": 1619.74, "end": 1620.06, "word": " يكون", "probability": 0.99072265625}, {"start": 1620.06, "end": 1620.5, "word": " مايل", "probability": 0.656494140625}, {"start": 1620.5, "end": 1620.94, "word": " بالنسبة", "probability": 0.9661865234375}, {"start": 1620.94, "end": 1621.42, "word": " للتاني", "probability": 0.8135986328125}, {"start": 1621.42, "end": 1621.96, "word": " بنرجع", "probability": 0.9308268229166666}, {"start": 1621.96, "end": 1622.18, "word": " ل", "probability": 0.84521484375}, {"start": 1622.18, "end": 1622.4, "word": " ال", "probability": 0.6123046875}, {"start": 1622.4, "end": 1622.74, "word": " vector", "probability": 0.931640625}, {"start": 1622.74, "end": 1623.24, "word": " addition", "probability": 0.94482421875}, {"start": 1623.24, "end": 1623.44, "word": " of", "probability": 0.98291015625}, {"start": 1623.44, "end": 1623.54, "word": " ال", "probability": 0.7802734375}, {"start": 1623.54, "end": 1623.8, "word": " prism", "probability": 0.6956787109375}, {"start": 1623.8, "end": 1624.64, "word": " طيب", "probability": 0.9542643229166666}, {"start": 1624.64, "end": 1624.84, "word": " ايش", "probability": 0.6805826822916666}, {"start": 1624.84, "end": 1625.36, "word": " استفدنا؟", "probability": 0.830029296875}, {"start": 1625.36, "end": 1625.6, "word": " لأ", "probability": 0.87646484375}, {"start": 1625.6, "end": 1625.8, "word": " في", "probability": 0.7880859375}, {"start": 1625.8, "end": 1626.04, "word": " هنا", "probability": 0.9208984375}, {"start": 1626.04, "end": 1626.42, "word": " فرق", "probability": 0.8797200520833334}, {"start": 1626.42, "end": 1626.58, "word": " ان", "probability": 0.84912109375}, {"start": 1626.58, "end": 1627.04, "word": " هذا", "probability": 0.43115234375}, {"start": 1627.04, "end": 1627.66, "word": " ال", "probability": 0.9794921875}, {"start": 1627.66, "end": 1628.1, "word": " prismين", "probability": 0.7932942708333334}, {"start": 1628.1, "end": 1628.66, "word": " محتوطين", "probability": 0.860546875}, {"start": 1628.66, "end": 1629.14, "word": " ضمن", "probability": 0.97607421875}, {"start": 1629.14, "end": 1629.64, "word": " housing", "probability": 0.70751953125}, {"start": 1629.64, "end": 1630.36, "word": " ضمن", "probability": 0.864013671875}, {"start": 1630.36, "end": 1631.48, "word": " بيت", "probability": 0.702880859375}, {"start": 1631.48, "end": 1631.9, "word": " معين", "probability": 0.993408203125}, {"start": 1631.9, "end": 1632.28, "word": " او", "probability": 0.82958984375}], "temperature": 1.0}, {"id": 64, "seek": 164744, "start": 1632.72, "end": 1647.44, "text": "a certain thing, there is a scale, as soon as I rotate the prism with respect to the other, it gives me the result, the total value of the two prisms in the direction of inclination with respect to each other, that is, the position is high, inclined with respect to each other, it gives me the total value", "tokens": [64, 1629, 551, 11, 456, 307, 257, 4373, 11, 382, 2321, 382, 286, 13121, 264, 582, 1434, 365, 3104, 281, 264, 661, 11, 309, 2709, 385, 264, 1874, 11, 264, 3217, 2158, 295, 264, 732, 582, 13539, 294, 264, 3513, 295, 37070, 2486, 365, 3104, 281, 1184, 661, 11, 300, 307, 11, 264, 2535, 307, 1090, 11, 28173, 365, 3104, 281, 1184, 661, 11, 309, 2709, 385, 264, 3217, 2158], "avg_logprob": -0.5136443695551912, "compression_ratio": 1.9426751592356688, "no_speech_prob": 0.00011771917343139648, "words": [{"start": 1632.72, "end": 1632.8, "word": "a", "probability": 0.045562744140625}, {"start": 1632.8, "end": 1633.38, "word": " certain", "probability": 0.265625}, {"start": 1633.38, "end": 1633.42, "word": " thing,", "probability": 0.42626953125}, {"start": 1633.76, "end": 1634.16, "word": " there", "probability": 0.334716796875}, {"start": 1634.16, "end": 1634.18, "word": " is", "probability": 0.57421875}, {"start": 1634.18, "end": 1634.34, "word": " a", "probability": 0.66650390625}, {"start": 1634.34, "end": 1634.68, "word": " scale,", "probability": 0.91455078125}, {"start": 1634.92, "end": 1634.98, "word": " as", "probability": 0.333251953125}, {"start": 1634.98, "end": 1635.32, "word": " soon", "probability": 0.75830078125}, {"start": 1635.32, "end": 1635.52, "word": " as", "probability": 0.96923828125}, {"start": 1635.52, "end": 1635.76, "word": " I", "probability": 0.94775390625}, {"start": 1635.76, "end": 1635.84, "word": " rotate", "probability": 0.5185546875}, {"start": 1635.84, "end": 1636.06, "word": " the", "probability": 0.55029296875}, {"start": 1636.06, "end": 1636.3, "word": " prism", "probability": 0.93798828125}, {"start": 1636.3, "end": 1636.44, "word": " with", "probability": 0.1068115234375}, {"start": 1636.44, "end": 1636.66, "word": " respect", "probability": 0.93115234375}, {"start": 1636.66, "end": 1636.78, "word": " to", "probability": 0.96875}, {"start": 1636.78, "end": 1636.94, "word": " the", "probability": 0.6923828125}, {"start": 1636.94, "end": 1637.08, "word": " other,", "probability": 0.5498046875}, {"start": 1637.16, "end": 1637.26, "word": " it", "probability": 0.65283203125}, {"start": 1637.26, "end": 1637.46, "word": " gives", "probability": 0.81494140625}, {"start": 1637.46, "end": 1637.74, "word": " me", "probability": 0.8896484375}, {"start": 1637.74, "end": 1637.92, "word": " the", "probability": 0.8935546875}, {"start": 1637.92, "end": 1638.32, "word": " result,", "probability": 0.23291015625}, {"start": 1638.56, "end": 1638.62, "word": " the", "probability": 0.84521484375}, {"start": 1638.62, "end": 1638.66, "word": " total", "probability": 0.767578125}, {"start": 1638.66, "end": 1639.56, "word": " value", "probability": 0.9443359375}, {"start": 1639.56, "end": 1639.78, "word": " of", "probability": 0.79833984375}, {"start": 1639.78, "end": 1639.92, "word": " the", "probability": 0.724609375}, {"start": 1639.92, "end": 1640.06, "word": " two", "probability": 0.92919921875}, {"start": 1640.06, "end": 1640.42, "word": " prisms", "probability": 0.934814453125}, {"start": 1640.42, "end": 1640.82, "word": " in", "probability": 0.73291015625}, {"start": 1640.82, "end": 1640.94, "word": " the", "probability": 0.5400390625}, {"start": 1640.94, "end": 1641.24, "word": " direction", "probability": 0.05108642578125}, {"start": 1641.24, "end": 1641.8, "word": " of", "probability": 0.71728515625}, {"start": 1641.8, "end": 1641.8, "word": " inclination", "probability": 0.55889892578125}, {"start": 1641.8, "end": 1641.94, "word": " with", "probability": 0.54150390625}, {"start": 1641.94, "end": 1642.18, "word": " respect", "probability": 0.92041015625}, {"start": 1642.18, "end": 1642.38, "word": " to", "probability": 0.97705078125}, {"start": 1642.38, "end": 1642.6, "word": " each", "probability": 0.9296875}, {"start": 1642.6, "end": 1642.82, "word": " other,", "probability": 0.904296875}, {"start": 1643.32, "end": 1643.44, "word": " that", "probability": 0.267822265625}, {"start": 1643.44, "end": 1643.5, "word": " is,", "probability": 0.8916015625}, {"start": 1643.52, "end": 1643.6, "word": " the", "probability": 0.55517578125}, {"start": 1643.6, "end": 1643.8, "word": " position", "probability": 0.2034912109375}, {"start": 1643.8, "end": 1644.02, "word": " is", "probability": 0.72900390625}, {"start": 1644.02, "end": 1644.24, "word": " high,", "probability": 0.732421875}, {"start": 1644.82, "end": 1645.14, "word": " inclined", "probability": 0.325439453125}, {"start": 1645.14, "end": 1645.34, "word": " with", "probability": 0.849609375}, {"start": 1645.34, "end": 1645.58, "word": " respect", "probability": 0.9267578125}, {"start": 1645.58, "end": 1645.72, "word": " to", "probability": 0.9736328125}, {"start": 1645.72, "end": 1645.9, "word": " each", "probability": 0.953125}, {"start": 1645.9, "end": 1646.04, "word": " other,", "probability": 0.89501953125}, {"start": 1646.12, "end": 1646.18, "word": " it", "probability": 0.54833984375}, {"start": 1646.18, "end": 1646.36, "word": " gives", "probability": 0.9072265625}, {"start": 1646.36, "end": 1646.54, "word": " me", "probability": 0.95068359375}, {"start": 1646.54, "end": 1646.64, "word": " the", "probability": 0.92529296875}, {"start": 1646.64, "end": 1646.7, "word": " total", "probability": 0.84228515625}, {"start": 1646.7, "end": 1647.44, "word": " value", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 65, "seek": 166605, "start": 1648.11, "end": 1666.05, "text": "وأكم الحصيلة الكلية واتجاه الprism بالنسبة للمحور الأفقي والمحور العمودي بالنسبة للمحور الأفقي والمحور العمودي هنا الحصيلة الضعف هنا الحصيلة الصفر هنا الحصيلة في .. في .. في ..", "tokens": [2407, 10721, 24793, 21542, 9381, 26895, 3660, 33251, 20292, 3660, 4032, 9307, 7435, 40294, 2423, 1424, 1434, 20666, 1863, 35457, 3660, 5296, 19528, 5016, 13063, 16247, 5172, 38436, 4032, 45340, 5016, 13063, 18863, 2304, 2407, 16254, 20666, 1863, 35457, 3660, 5296, 19528, 5016, 13063, 16247, 5172, 38436, 4032, 45340, 5016, 13063, 18863, 2304, 2407, 16254, 34105, 21542, 9381, 26895, 3660, 6024, 114, 3615, 5172, 34105, 21542, 9381, 26895, 3660, 31767, 5172, 2288, 34105, 21542, 9381, 26895, 3660, 8978, 4386, 8978, 4386, 8978, 4386], "avg_logprob": -0.19326636656409218, "compression_ratio": 2.4076923076923076, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1648.11, "end": 1649.25, "word": "وأكم", "probability": 0.5798746744791666}, {"start": 1649.25, "end": 1652.05, "word": " الحصيلة", "probability": 0.7164306640625}, {"start": 1652.05, "end": 1652.53, "word": " الكلية", "probability": 0.7547200520833334}, {"start": 1652.53, "end": 1653.41, "word": " واتجاه", "probability": 0.8800048828125}, {"start": 1653.41, "end": 1653.93, "word": " الprism", "probability": 0.6311442057291666}, {"start": 1653.93, "end": 1655.69, "word": " بالنسبة", "probability": 0.9632568359375}, {"start": 1655.69, "end": 1656.17, "word": " للمحور", "probability": 0.89990234375}, {"start": 1656.17, "end": 1656.69, "word": " الأفقي", "probability": 0.8736979166666666}, {"start": 1656.69, "end": 1657.27, "word": " والمحور", "probability": 0.8316650390625}, {"start": 1657.27, "end": 1657.89, "word": " العمودي", "probability": 0.9754638671875}, {"start": 1657.89, "end": 1658.31, "word": " بالنسبة", "probability": 0.8760986328125}, {"start": 1658.31, "end": 1658.67, "word": " للمحور", "probability": 0.9439697265625}, {"start": 1658.67, "end": 1659.09, "word": " الأفقي", "probability": 0.9352213541666666}, {"start": 1659.09, "end": 1659.57, "word": " والمحور", "probability": 0.9815673828125}, {"start": 1659.57, "end": 1660.49, "word": " العمودي", "probability": 0.981689453125}, {"start": 1660.49, "end": 1660.65, "word": " هنا", "probability": 0.67626953125}, {"start": 1660.65, "end": 1661.27, "word": " الحصيلة", "probability": 0.992919921875}, {"start": 1661.27, "end": 1661.91, "word": " الضعف", "probability": 0.8485107421875}, {"start": 1661.91, "end": 1662.39, "word": " هنا", "probability": 0.415283203125}, {"start": 1662.39, "end": 1662.93, "word": " الحصيلة", "probability": 0.992919921875}, {"start": 1662.93, "end": 1663.43, "word": " الصفر", "probability": 0.9039713541666666}, {"start": 1663.43, "end": 1663.89, "word": " هنا", "probability": 0.87890625}, {"start": 1663.89, "end": 1664.51, "word": " الحصيلة", "probability": 0.993408203125}, {"start": 1664.51, "end": 1664.67, "word": " في", "probability": 0.9189453125}, {"start": 1664.67, "end": 1664.81, "word": " ..", "probability": 0.5107421875}, {"start": 1664.81, "end": 1664.95, "word": " في", "probability": 0.87548828125}, {"start": 1664.95, "end": 1665.11, "word": " ..", "probability": 0.9619140625}, {"start": 1665.11, "end": 1665.41, "word": " في", "probability": 0.9462890625}, {"start": 1665.41, "end": 1666.05, "word": " ..", "probability": 0.95947265625}], "temperature": 1.0}, {"id": 66, "seek": 169258, "start": 1666.08, "end": 1692.58, "text": "they give the result how much the prism is equivalent to them in numbers and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how much they are equal to each other and how", "tokens": [13162, 976, 264, 1874, 577, 709, 264, 582, 1434, 307, 10344, 281, 552, 294, 3547, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577, 709, 436, 366, 2681, 281, 1184, 661, 293, 577], "avg_logprob": -0.1809722179836697, "compression_ratio": 11.127659574468085, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 1666.08, "end": 1666.2, "word": "they", "probability": 0.399169921875}, {"start": 1666.2, "end": 1666.36, "word": " give", "probability": 0.642578125}, {"start": 1666.36, "end": 1666.6, "word": " the", "probability": 0.36572265625}, {"start": 1666.6, "end": 1666.92, "word": " result", "probability": 0.7509765625}, {"start": 1666.92, "end": 1667.14, "word": " how", "probability": 0.2379150390625}, {"start": 1667.14, "end": 1667.56, "word": " much", "probability": 0.7685546875}, {"start": 1667.56, "end": 1667.74, "word": " the", "probability": 0.409912109375}, {"start": 1667.74, "end": 1668.04, "word": " prism", "probability": 0.6231689453125}, {"start": 1668.04, "end": 1668.28, "word": " is", "probability": 0.41015625}, {"start": 1668.28, "end": 1668.6, "word": " equivalent", "probability": 0.51220703125}, {"start": 1668.6, "end": 1668.88, "word": " to", "probability": 0.775390625}, {"start": 1668.88, "end": 1669.08, "word": " them", "probability": 0.33056640625}, {"start": 1669.08, "end": 1669.2, "word": " in", "probability": 0.58154296875}, {"start": 1669.2, "end": 1669.76, "word": " numbers", "probability": 0.6171875}, {"start": 1669.76, "end": 1670.32, "word": " and", "probability": 0.7548828125}, {"start": 1670.32, "end": 1670.52, "word": " how", "probability": 0.86474609375}, {"start": 1670.52, "end": 1670.82, "word": " much", "probability": 0.556640625}, {"start": 1670.82, "end": 1670.92, "word": " they", "probability": 0.59228515625}, {"start": 1670.92, "end": 1670.92, "word": " are", "probability": 0.420654296875}, {"start": 1670.92, "end": 1671.16, "word": " equal", "probability": 0.113525390625}, {"start": 1671.16, "end": 1671.16, "word": " to", "probability": 0.2117919921875}, {"start": 1671.16, "end": 1671.4, "word": " each", "probability": 0.39306640625}, {"start": 1671.4, "end": 1671.4, "word": " other", "probability": 0.87353515625}, {"start": 1671.4, "end": 1671.44, "word": " and", "probability": 0.1805419921875}, {"start": 1671.44, "end": 1671.64, "word": " how", "probability": 0.67578125}, {"start": 1671.64, "end": 1671.92, "word": " much", "probability": 0.888671875}, {"start": 1671.92, "end": 1672.04, "word": " they", "probability": 0.857421875}, {"start": 1672.04, "end": 1672.04, "word": " are", "probability": 0.9384765625}, {"start": 1672.04, "end": 1672.24, "word": " equal", "probability": 0.64306640625}, {"start": 1672.24, "end": 1672.24, "word": " to", "probability": 0.9423828125}, {"start": 1672.24, "end": 1672.32, "word": " each", "probability": 0.947265625}, {"start": 1672.32, "end": 1672.32, "word": " other", "probability": 0.90234375}, {"start": 1672.32, "end": 1672.44, "word": " and", "probability": 0.08428955078125}, {"start": 1672.44, "end": 1673.08, "word": " how", "probability": 0.34765625}, {"start": 1673.08, "end": 1673.08, "word": " much", "probability": 0.896484375}, {"start": 1673.08, "end": 1673.3, "word": " they", "probability": 0.8916015625}, {"start": 1673.3, "end": 1673.3, "word": " are", "probability": 0.94921875}, {"start": 1673.3, "end": 1673.3, "word": " equal", "probability": 0.650390625}, {"start": 1673.3, "end": 1673.34, "word": " to", "probability": 0.96240234375}, {"start": 1673.34, "end": 1673.34, "word": " each", "probability": 0.9580078125}, {"start": 1673.34, "end": 1673.34, "word": " other", "probability": 0.90478515625}, {"start": 1673.34, "end": 1673.34, "word": " and", "probability": 0.339599609375}, {"start": 1673.34, "end": 1673.34, "word": " how", "probability": 0.80712890625}, {"start": 1673.34, "end": 1673.34, "word": " much", "probability": 0.91259765625}, {"start": 1673.34, "end": 1673.34, "word": " they", "probability": 0.8974609375}, {"start": 1673.34, "end": 1673.34, "word": " are", "probability": 0.9521484375}, {"start": 1673.34, "end": 1673.34, "word": " equal", "probability": 0.787109375}, {"start": 1673.34, "end": 1673.34, "word": " to", "probability": 0.96826171875}, {"start": 1673.34, "end": 1673.34, "word": " each", "probability": 0.95947265625}, {"start": 1673.34, "end": 1673.34, "word": " other", "probability": 0.90966796875}, {"start": 1673.34, "end": 1673.34, "word": " and", "probability": 0.54931640625}, {"start": 1673.34, "end": 1673.34, "word": " how", "probability": 0.8818359375}, {"start": 1673.34, "end": 1673.34, "word": " much", "probability": 0.91748046875}, {"start": 1673.34, "end": 1673.34, "word": " they", "probability": 0.90234375}, {"start": 1673.34, "end": 1673.34, "word": " are", "probability": 0.95361328125}, {"start": 1673.34, "end": 1673.34, "word": " equal", "probability": 0.85888671875}, {"start": 1673.34, "end": 1673.34, "word": " to", "probability": 0.97021484375}, {"start": 1673.34, "end": 1673.34, "word": " each", "probability": 0.96044921875}, {"start": 1673.34, "end": 1673.34, "word": " other", "probability": 0.91015625}, {"start": 1673.34, "end": 1673.34, "word": " and", "probability": 0.6484375}, {"start": 1673.34, "end": 1673.34, "word": " how", "probability": 0.8974609375}, {"start": 1673.34, "end": 1673.34, "word": " much", "probability": 0.91943359375}, {"start": 1673.34, "end": 1673.34, "word": " they", "probability": 0.9072265625}, {"start": 1673.34, "end": 1673.34, "word": " are", "probability": 0.95458984375}, {"start": 1673.34, "end": 1673.34, "word": " equal", "probability": 0.89306640625}, {"start": 1673.34, "end": 1673.34, "word": " to", "probability": 0.970703125}, {"start": 1673.34, "end": 1673.34, "word": " each", "probability": 0.9609375}, {"start": 1673.34, "end": 1673.34, "word": " other", "probability": 0.9111328125}, {"start": 1673.34, "end": 1673.34, "word": " and", "probability": 0.72509765625}, {"start": 1673.34, "end": 1673.34, "word": " how", "probability": 0.90673828125}, {"start": 1673.34, "end": 1673.34, "word": " much", "probability": 0.919921875}, {"start": 1673.34, "end": 1673.34, "word": " they", "probability": 0.91015625}, {"start": 1673.34, "end": 1673.34, "word": " are", "probability": 0.95556640625}, {"start": 1673.34, "end": 1673.34, "word": " equal", "probability": 0.908203125}, {"start": 1673.34, "end": 1673.34, "word": " to", "probability": 0.97216796875}, {"start": 1673.34, "end": 1673.34, "word": " each", "probability": 0.96142578125}, {"start": 1673.34, "end": 1673.34, "word": " other", "probability": 0.91162109375}, {"start": 1673.34, "end": 1673.34, "word": " and", "probability": 0.7861328125}, {"start": 1673.34, "end": 1673.34, "word": " how", "probability": 0.91552734375}, {"start": 1673.34, "end": 1673.34, "word": " much", "probability": 0.921875}, {"start": 1673.34, "end": 1673.34, "word": " they", "probability": 0.9130859375}, {"start": 1673.34, "end": 1673.34, "word": " are", "probability": 0.955078125}, {"start": 1673.34, "end": 1673.34, "word": " equal", "probability": 0.91552734375}, {"start": 1673.34, "end": 1673.34, "word": " to", "probability": 0.97216796875}, {"start": 1673.34, "end": 1673.34, "word": " each", "probability": 0.9619140625}, {"start": 1673.34, "end": 1673.34, "word": " other", "probability": 0.91162109375}, {"start": 1673.34, "end": 1673.38, "word": " and", "probability": 0.828125}, {"start": 1673.38, "end": 1673.38, "word": " how", "probability": 0.92431640625}, {"start": 1673.38, "end": 1673.38, "word": " much", "probability": 0.92236328125}, {"start": 1673.38, "end": 1673.38, "word": " they", "probability": 0.91455078125}, {"start": 1673.38, "end": 1673.38, "word": " are", "probability": 0.95556640625}, {"start": 1673.38, "end": 1673.38, "word": " equal", "probability": 0.9189453125}, {"start": 1673.38, "end": 1673.38, "word": " to", "probability": 0.97314453125}, {"start": 1673.38, "end": 1673.38, "word": " each", "probability": 0.962890625}, {"start": 1673.38, "end": 1673.38, "word": " other", "probability": 0.91259765625}, {"start": 1673.38, "end": 1673.4, "word": " and", "probability": 0.8583984375}, {"start": 1673.4, "end": 1673.4, "word": " how", "probability": 0.93115234375}, {"start": 1673.4, "end": 1673.4, "word": " much", "probability": 0.9228515625}, {"start": 1673.4, "end": 1673.4, "word": " they", "probability": 0.9150390625}, {"start": 1673.4, "end": 1673.4, "word": " are", "probability": 0.955078125}, {"start": 1673.4, "end": 1673.4, "word": " equal", "probability": 0.92041015625}, {"start": 1673.4, "end": 1673.4, "word": " to", "probability": 0.97265625}, {"start": 1673.4, "end": 1673.4, "word": " each", "probability": 0.96435546875}, {"start": 1673.4, "end": 1673.4, "word": " other", "probability": 0.91259765625}, {"start": 1673.4, "end": 1673.4, "word": " and", "probability": 0.87890625}, {"start": 1673.4, "end": 1673.4, "word": " how", "probability": 0.9365234375}, {"start": 1673.4, "end": 1673.4, "word": " much", "probability": 0.921875}, {"start": 1673.4, "end": 1673.4, "word": " they", "probability": 0.9140625}, {"start": 1673.4, "end": 1673.4, "word": " are", "probability": 0.9541015625}, {"start": 1673.4, "end": 1673.4, "word": " equal", "probability": 0.921875}, {"start": 1673.4, "end": 1673.4, "word": " to", "probability": 0.97314453125}, {"start": 1673.4, "end": 1673.4, "word": " each", "probability": 0.96630859375}, {"start": 1673.4, "end": 1673.4, "word": " other", "probability": 0.912109375}, {"start": 1673.4, "end": 1673.52, "word": " and", "probability": 0.89501953125}, {"start": 1673.52, "end": 1673.52, "word": " how", "probability": 0.94140625}, {"start": 1673.52, "end": 1673.52, "word": " much", "probability": 0.92236328125}, {"start": 1673.52, "end": 1673.52, "word": " they", "probability": 0.91455078125}, {"start": 1673.52, "end": 1673.52, "word": " are", "probability": 0.9541015625}, {"start": 1673.52, "end": 1673.52, "word": " equal", "probability": 0.921875}, {"start": 1673.52, "end": 1673.52, "word": " to", "probability": 0.97314453125}, {"start": 1673.52, "end": 1673.52, "word": " each", "probability": 0.96728515625}, {"start": 1673.52, "end": 1673.52, "word": " other", "probability": 0.91455078125}, {"start": 1673.52, "end": 1673.52, "word": " and", "probability": 0.9072265625}, {"start": 1673.52, "end": 1673.52, "word": " how", "probability": 0.94384765625}, {"start": 1673.52, "end": 1673.52, "word": " much", "probability": 0.92333984375}, {"start": 1673.52, "end": 1673.52, "word": " they", "probability": 0.91552734375}, {"start": 1673.52, "end": 1673.52, "word": " are", "probability": 0.953125}, {"start": 1673.52, "end": 1673.52, "word": " equal", "probability": 0.923828125}, {"start": 1673.52, "end": 1673.52, "word": " to", "probability": 0.97412109375}, {"start": 1673.52, "end": 1673.52, "word": " each", "probability": 0.96923828125}, {"start": 1673.52, "end": 1673.52, "word": " other", "probability": 0.9169921875}, {"start": 1673.52, "end": 1673.54, "word": " and", "probability": 0.91552734375}, {"start": 1673.54, "end": 1673.54, "word": " how", "probability": 0.94580078125}, {"start": 1673.54, "end": 1673.54, "word": " much", "probability": 0.92236328125}, {"start": 1673.54, "end": 1673.54, "word": " they", "probability": 0.916015625}, {"start": 1673.54, "end": 1673.54, "word": " are", "probability": 0.953125}, {"start": 1673.54, "end": 1673.54, "word": " equal", "probability": 0.92431640625}, {"start": 1673.54, "end": 1673.54, "word": " to", "probability": 0.97412109375}, {"start": 1673.54, "end": 1673.54, "word": " each", "probability": 0.97021484375}, {"start": 1673.54, "end": 1673.54, "word": " other", "probability": 0.9150390625}, {"start": 1673.54, "end": 1673.54, "word": " and", "probability": 0.92041015625}, {"start": 1673.54, "end": 1673.54, "word": " how", "probability": 0.9462890625}, {"start": 1673.54, "end": 1673.54, "word": " much", "probability": 0.92138671875}, {"start": 1673.54, "end": 1673.54, "word": " they", "probability": 0.9169921875}, {"start": 1673.54, "end": 1673.54, "word": " are", "probability": 0.95361328125}, {"start": 1673.54, "end": 1673.54, "word": " equal", "probability": 0.92431640625}, {"start": 1673.54, "end": 1673.54, "word": " to", "probability": 0.97412109375}, {"start": 1673.54, "end": 1673.54, "word": " each", "probability": 0.97119140625}, {"start": 1673.54, "end": 1673.54, "word": " other", "probability": 0.91552734375}, {"start": 1673.54, "end": 1673.54, "word": " and", "probability": 0.923828125}, {"start": 1673.54, "end": 1673.54, "word": " how", "probability": 0.947265625}, {"start": 1673.54, "end": 1673.54, "word": " much", "probability": 0.92333984375}, {"start": 1673.54, "end": 1673.54, "word": " they", "probability": 0.916015625}, {"start": 1673.54, "end": 1673.54, "word": " are", "probability": 0.9521484375}, {"start": 1673.54, "end": 1673.54, "word": " equal", "probability": 0.92578125}, {"start": 1673.54, "end": 1673.54, "word": " to", "probability": 0.9736328125}, {"start": 1673.54, "end": 1673.54, "word": " each", "probability": 0.97314453125}, {"start": 1673.54, "end": 1673.54, "word": " other", "probability": 0.91796875}, {"start": 1673.54, "end": 1673.54, "word": " and", "probability": 0.92626953125}, {"start": 1673.54, "end": 1673.54, "word": " how", "probability": 0.94970703125}, {"start": 1673.54, "end": 1673.54, "word": " much", "probability": 0.92333984375}, {"start": 1673.54, "end": 1673.54, "word": " they", "probability": 0.91796875}, {"start": 1673.54, "end": 1673.54, "word": " are", "probability": 0.95361328125}, {"start": 1673.54, "end": 1673.54, "word": " equal", "probability": 0.92919921875}, {"start": 1673.54, "end": 1673.54, "word": " to", "probability": 0.97412109375}, {"start": 1673.54, "end": 1673.54, "word": " each", "probability": 0.9736328125}, {"start": 1673.54, "end": 1673.54, "word": " other", "probability": 0.91845703125}, {"start": 1673.54, "end": 1673.54, "word": " and", "probability": 0.92724609375}, {"start": 1673.54, "end": 1673.54, "word": " how", "probability": 0.94921875}, {"start": 1673.54, "end": 1673.54, "word": " much", "probability": 0.92578125}, {"start": 1673.54, "end": 1673.54, "word": " they", "probability": 0.9169921875}, {"start": 1673.54, "end": 1673.54, "word": " are", "probability": 0.95361328125}, {"start": 1673.54, "end": 1673.54, "word": " equal", "probability": 0.9287109375}, {"start": 1673.54, "end": 1673.54, "word": " to", "probability": 0.9736328125}, {"start": 1673.54, "end": 1673.54, "word": " each", "probability": 0.974609375}, {"start": 1673.54, "end": 1673.54, "word": " other", "probability": 0.91796875}, {"start": 1673.54, "end": 1673.54, "word": " and", "probability": 0.9287109375}, {"start": 1673.54, "end": 1673.54, "word": " how", "probability": 0.9501953125}, {"start": 1673.54, "end": 1673.54, "word": " much", "probability": 0.92431640625}, {"start": 1673.54, "end": 1673.54, "word": " they", "probability": 0.91845703125}, {"start": 1673.54, "end": 1673.54, "word": " are", "probability": 0.95361328125}, {"start": 1673.54, "end": 1673.54, "word": " equal", "probability": 0.9306640625}, {"start": 1673.54, "end": 1673.54, "word": " to", "probability": 0.974609375}, {"start": 1673.54, "end": 1673.54, "word": " each", "probability": 0.974609375}, {"start": 1673.54, "end": 1673.54, "word": " other", "probability": 0.91943359375}, {"start": 1673.54, "end": 1673.54, "word": " and", "probability": 0.93017578125}, {"start": 1673.54, "end": 1673.54, "word": " how", "probability": 0.951171875}, {"start": 1673.54, "end": 1673.54, "word": " much", "probability": 0.9267578125}, {"start": 1673.54, "end": 1673.54, "word": " they", "probability": 0.919921875}, {"start": 1673.54, "end": 1673.54, "word": " are", "probability": 0.95361328125}, {"start": 1673.54, "end": 1673.54, "word": " equal", "probability": 0.931640625}, {"start": 1673.54, "end": 1673.54, "word": " to", "probability": 0.974609375}, {"start": 1673.54, "end": 1673.54, "word": " each", "probability": 0.974609375}, {"start": 1673.54, "end": 1673.54, "word": " other", "probability": 0.91748046875}, {"start": 1673.54, "end": 1673.54, "word": " and", "probability": 0.9306640625}, {"start": 1673.54, "end": 1673.54, "word": " how", "probability": 0.951171875}, {"start": 1673.54, "end": 1673.54, "word": " much", "probability": 0.9267578125}, {"start": 1673.54, "end": 1673.54, "word": " they", "probability": 0.91943359375}, {"start": 1673.54, "end": 1673.54, "word": " are", "probability": 0.9521484375}, {"start": 1673.54, "end": 1673.54, "word": " equal", "probability": 0.931640625}, {"start": 1673.54, "end": 1673.54, "word": " to", "probability": 0.974609375}, {"start": 1673.54, "end": 1673.54, "word": " each", "probability": 0.974609375}, {"start": 1673.54, "end": 1673.54, "word": " other", "probability": 0.9189453125}, {"start": 1673.54, "end": 1674.42, "word": " and", "probability": 0.93310546875}, {"start": 1674.42, "end": 1674.6, "word": " how", "probability": 0.9521484375}, {"start": 1674.6, "end": 1674.6, "word": " much", "probability": 0.9267578125}, {"start": 1674.6, "end": 1674.6, "word": " they", "probability": 0.91943359375}, {"start": 1674.6, "end": 1674.6, "word": " are", "probability": 0.9521484375}, {"start": 1674.6, "end": 1674.6, "word": " equal", "probability": 0.9326171875}, {"start": 1674.6, "end": 1674.6, "word": " to", "probability": 0.97412109375}, {"start": 1674.6, "end": 1674.6, "word": " each", "probability": 0.974609375}, {"start": 1674.6, "end": 1674.6, "word": " other", "probability": 0.91650390625}, {"start": 1674.6, "end": 1674.6, "word": " and", "probability": 0.9345703125}, {"start": 1674.6, "end": 1674.88, "word": " how", "probability": 0.95166015625}, {"start": 1674.88, "end": 1674.88, "word": " much", "probability": 0.9287109375}, {"start": 1674.88, "end": 1674.88, "word": " they", "probability": 0.91943359375}, {"start": 1674.88, "end": 1674.88, "word": " are", "probability": 0.9521484375}, {"start": 1674.88, "end": 1674.88, "word": " equal", "probability": 0.9345703125}, {"start": 1674.88, "end": 1674.88, "word": " to", "probability": 0.9736328125}, {"start": 1674.88, "end": 1674.88, "word": " each", "probability": 0.97509765625}, {"start": 1674.88, "end": 1674.88, "word": " other", "probability": 0.91748046875}, {"start": 1674.88, "end": 1692.0, "word": " and", "probability": 0.93505859375}, {"start": 1692.0, "end": 1692.58, "word": " how", "probability": 0.953125}], "temperature": 1.0}, {"id": 67, "seek": 171653, "start": 1692.61, "end": 1716.53, "text": "A rotary prism mounted on the front of most phoropters consists of two prisms of equal power that are counter rotated with respect to one another to produce prism power varying from zero prism to neutralize each other", "tokens": [32, 45811, 582, 1434, 19138, 322, 264, 1868, 295, 881, 903, 284, 404, 391, 82, 14689, 295, 732, 582, 13539, 295, 2681, 1347, 300, 366, 5682, 42146, 365, 3104, 281, 472, 1071, 281, 5258, 582, 1434, 1347, 22984, 490, 4018, 582, 1434, 281, 10598, 1125, 1184, 661], "avg_logprob": -0.26546225262184936, "compression_ratio": 1.5611510791366907, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1692.61, "end": 1692.87, "word": "A", "probability": 0.6806640625}, {"start": 1692.87, "end": 1693.19, "word": " rotary", "probability": 0.90673828125}, {"start": 1693.19, "end": 1693.61, "word": " prism", "probability": 0.9150390625}, {"start": 1693.61, "end": 1694.87, "word": " mounted", "probability": 0.2342529296875}, {"start": 1694.87, "end": 1696.19, "word": " on", "probability": 0.9072265625}, {"start": 1696.19, "end": 1696.35, "word": " the", "probability": 0.91796875}, {"start": 1696.35, "end": 1696.67, "word": " front", "probability": 0.94677734375}, {"start": 1696.67, "end": 1696.87, "word": " of", "probability": 0.96142578125}, {"start": 1696.87, "end": 1697.27, "word": " most", "probability": 0.912109375}, {"start": 1697.27, "end": 1698.37, "word": " phoropters", "probability": 0.593212890625}, {"start": 1698.37, "end": 1698.85, "word": " consists", "probability": 0.529296875}, {"start": 1698.85, "end": 1699.15, "word": " of", "probability": 0.97412109375}, {"start": 1699.15, "end": 1699.35, "word": " two", "probability": 0.88330078125}, {"start": 1699.35, "end": 1699.77, "word": " prisms", "probability": 0.912841796875}, {"start": 1699.77, "end": 1700.03, "word": " of", "probability": 0.96728515625}, {"start": 1700.03, "end": 1700.43, "word": " equal", "probability": 0.90185546875}, {"start": 1700.43, "end": 1700.89, "word": " power", "probability": 0.8486328125}, {"start": 1700.89, "end": 1701.51, "word": " that", "probability": 0.82763671875}, {"start": 1701.51, "end": 1701.85, "word": " are", "probability": 0.9384765625}, {"start": 1701.85, "end": 1702.25, "word": " counter", "probability": 0.890625}, {"start": 1702.25, "end": 1702.87, "word": " rotated", "probability": 0.55078125}, {"start": 1702.87, "end": 1705.49, "word": " with", "probability": 0.68115234375}, {"start": 1705.49, "end": 1705.91, "word": " respect", "probability": 0.8349609375}, {"start": 1705.91, "end": 1706.29, "word": " to", "probability": 0.94775390625}, {"start": 1706.29, "end": 1706.45, "word": " one", "probability": 0.90966796875}, {"start": 1706.45, "end": 1706.87, "word": " another", "probability": 0.9140625}, {"start": 1706.87, "end": 1707.35, "word": " to", "probability": 0.61279296875}, {"start": 1707.35, "end": 1707.81, "word": " produce", "probability": 0.869140625}, {"start": 1707.81, "end": 1708.21, "word": " prism", "probability": 0.828125}, {"start": 1708.21, "end": 1708.55, "word": " power", "probability": 0.8515625}, {"start": 1708.55, "end": 1708.99, "word": " varying", "probability": 0.94189453125}, {"start": 1708.99, "end": 1709.31, "word": " from", "probability": 0.88330078125}, {"start": 1709.31, "end": 1709.89, "word": " zero", "probability": 0.74609375}, {"start": 1709.89, "end": 1711.35, "word": " prism", "probability": 0.86669921875}, {"start": 1711.35, "end": 1713.85, "word": " to", "probability": 0.484619140625}, {"start": 1713.85, "end": 1715.91, "word": " neutralize", "probability": 0.646240234375}, {"start": 1715.91, "end": 1716.17, "word": " each", "probability": 0.93505859375}, {"start": 1716.17, "end": 1716.53, "word": " other", "probability": 0.8798828125}], "temperature": 1.0}, {"id": 68, "seek": 174660, "start": 1720.52, "end": 1746.6, "text": "الوضعية هذه اللي هي عكس بعضهم البعض هيكون zero prism قيمتهم هيكون zero prism قيمتهم to the sum of the two powers prisms aligned in the same direction يعني اللي هي لما بيكونوا لهم نفس الاتجاه زي هذه الرسمة و هذه الرسمة لهم نفس الاتجاه هذه عكس بعض إذا قيمتهم صفر هنا قيمتهم صفر هنا طيب", "tokens": [6027, 2407, 11242, 3615, 10632, 29538, 13672, 1829, 39896, 6225, 4117, 3794, 45030, 11242, 16095, 29739, 3615, 11242, 39896, 30544, 4018, 582, 1434, 12174, 32640, 2655, 16095, 39896, 30544, 4018, 582, 1434, 12174, 32640, 2655, 16095, 281, 264, 2408, 295, 264, 732, 8674, 582, 13539, 17962, 294, 264, 912, 3513, 37495, 22653, 13672, 1829, 39896, 5296, 15042, 4724, 1829, 30544, 14407, 5296, 16095, 8717, 36178, 2423, 9307, 7435, 40294, 30767, 1829, 29538, 34892, 38251, 3660, 4032, 29538, 34892, 38251, 3660, 5296, 16095, 8717, 36178, 2423, 9307, 7435, 40294, 29538, 6225, 4117, 3794, 45030, 11242, 11933, 15730, 12174, 32640, 2655, 16095, 20328, 5172, 2288, 34105, 12174, 32640, 2655, 16095, 20328, 5172, 2288, 34105, 23032, 1829, 3555], "avg_logprob": -0.1448006452671413, "compression_ratio": 2.05607476635514, "no_speech_prob": 1.8298625946044922e-05, "words": [{"start": 1720.52, "end": 1721.26, "word": "الوضعية", "probability": 0.8015625}, {"start": 1721.26, "end": 1721.9, "word": " هذه", "probability": 0.7294921875}, {"start": 1721.9, "end": 1722.04, "word": " اللي", "probability": 0.66259765625}, {"start": 1722.04, "end": 1722.16, "word": " هي", "probability": 0.81396484375}, {"start": 1722.16, "end": 1722.48, "word": " عكس", "probability": 0.9925130208333334}, {"start": 1722.48, "end": 1723.0, "word": " بعضهم", "probability": 0.96923828125}, {"start": 1723.0, "end": 1723.52, "word": " البعض", "probability": 0.9705403645833334}, {"start": 1723.52, "end": 1723.98, "word": " هيكون", "probability": 0.72802734375}, {"start": 1723.98, "end": 1724.38, "word": " zero", "probability": 0.658203125}, {"start": 1724.38, "end": 1724.78, "word": " prism", "probability": 0.83837890625}, {"start": 1724.78, "end": 1725.38, "word": " قيمتهم", "probability": 0.9447021484375}, {"start": 1725.38, "end": 1725.84, "word": " هيكون", "probability": 0.60943603515625}, {"start": 1725.84, "end": 1726.3, "word": " zero", "probability": 0.75}, {"start": 1726.3, "end": 1726.72, "word": " prism", "probability": 0.896240234375}, {"start": 1726.72, "end": 1727.82, "word": " قيمتهم", "probability": 0.990234375}, {"start": 1727.82, "end": 1728.44, "word": " to", "probability": 0.79443359375}, {"start": 1728.44, "end": 1728.64, "word": " the", "probability": 0.91796875}, {"start": 1728.64, "end": 1728.94, "word": " sum", "probability": 0.947265625}, {"start": 1728.94, "end": 1729.14, "word": " of", "probability": 0.98046875}, {"start": 1729.14, "end": 1729.3, "word": " the", "probability": 0.8857421875}, {"start": 1729.3, "end": 1729.48, "word": " two", "probability": 0.91015625}, {"start": 1729.48, "end": 1729.84, "word": " powers", "probability": 0.86279296875}, {"start": 1729.84, "end": 1730.3, "word": " prisms", "probability": 0.781494140625}, {"start": 1730.3, "end": 1730.78, "word": " aligned", "probability": 0.95068359375}, {"start": 1730.78, "end": 1731.02, "word": " in", "probability": 0.9580078125}, {"start": 1731.02, "end": 1731.14, "word": " the", "probability": 0.91943359375}, {"start": 1731.14, "end": 1731.36, "word": " same", "probability": 0.9072265625}, {"start": 1731.36, "end": 1732.0, "word": " direction", "probability": 0.97119140625}, {"start": 1732.0, "end": 1732.82, "word": " يعني", "probability": 0.85107421875}, {"start": 1732.82, "end": 1733.16, "word": " اللي", "probability": 0.987060546875}, {"start": 1733.16, "end": 1733.52, "word": " هي", "probability": 0.87060546875}, {"start": 1733.52, "end": 1734.22, "word": " لما", "probability": 0.9501953125}, {"start": 1734.22, "end": 1735.2, "word": " بيكونوا", "probability": 0.95947265625}, {"start": 1735.2, "end": 1736.56, "word": " لهم", "probability": 0.61553955078125}, {"start": 1736.56, "end": 1736.9, "word": " نفس", "probability": 0.998779296875}, {"start": 1736.9, "end": 1737.58, "word": " الاتجاه", "probability": 0.9212646484375}, {"start": 1737.58, "end": 1738.1, "word": " زي", "probability": 0.92041015625}, {"start": 1738.1, "end": 1738.44, "word": " هذه", "probability": 0.6748046875}, {"start": 1738.44, "end": 1739.84, "word": " الرسمة", "probability": 0.9527994791666666}, {"start": 1739.84, "end": 1740.0, "word": " و", "probability": 0.734375}, {"start": 1740.0, "end": 1740.22, "word": " هذه", "probability": 0.81591796875}, {"start": 1740.22, "end": 1740.7, "word": " الرسمة", "probability": 0.9938151041666666}, {"start": 1740.7, "end": 1741.0, "word": " لهم", "probability": 0.8271484375}, {"start": 1741.0, "end": 1741.34, "word": " نفس", "probability": 0.99658203125}, {"start": 1741.34, "end": 1742.0, "word": " الاتجاه", "probability": 0.9681396484375}, {"start": 1742.0, "end": 1742.64, "word": " هذه", "probability": 0.67822265625}, {"start": 1742.64, "end": 1743.0, "word": " عكس", "probability": 0.9967447916666666}, {"start": 1743.0, "end": 1743.26, "word": " بعض", "probability": 0.9931640625}, {"start": 1743.26, "end": 1743.46, "word": " إذا", "probability": 0.54833984375}, {"start": 1743.46, "end": 1744.0, "word": " قيمتهم", "probability": 0.9715576171875}, {"start": 1744.0, "end": 1744.34, "word": " صفر", "probability": 0.966796875}, {"start": 1744.34, "end": 1744.56, "word": " هنا", "probability": 0.8564453125}, {"start": 1744.56, "end": 1745.06, "word": " قيمتهم", "probability": 0.93408203125}, {"start": 1745.06, "end": 1745.54, "word": " صفر", "probability": 0.9889322916666666}, {"start": 1745.54, "end": 1746.04, "word": " هنا", "probability": 0.97900390625}, {"start": 1746.04, "end": 1746.6, "word": " طيب", "probability": 0.96240234375}], "temperature": 1.0}, {"id": 69, "seek": 176051, "start": 1753.95, "end": 1760.51, "text": "Intermediate values may be determined by the vector addition and are marked on the dial of the prism housing", "tokens": [13406, 3130, 473, 4190, 815, 312, 9540, 538, 264, 8062, 4500, 293, 366, 12658, 322, 264, 5502, 295, 264, 16163, 76, 6849], "avg_logprob": -0.2649456418078879, "compression_ratio": 1.2134831460674158, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 1753.9499999999998, "end": 1754.59, "word": "Intermediate", "probability": 0.7240397135416666}, {"start": 1754.59, "end": 1755.03, "word": " values", "probability": 0.9404296875}, {"start": 1755.03, "end": 1755.33, "word": " may", "probability": 0.87353515625}, {"start": 1755.33, "end": 1755.49, "word": " be", "probability": 0.95166015625}, {"start": 1755.49, "end": 1756.07, "word": " determined", "probability": 0.9345703125}, {"start": 1756.07, "end": 1756.51, "word": " by", "probability": 0.9765625}, {"start": 1756.51, "end": 1756.73, "word": " the", "probability": 0.7529296875}, {"start": 1756.73, "end": 1757.05, "word": " vector", "probability": 0.93896484375}, {"start": 1757.05, "end": 1757.55, "word": " addition", "probability": 0.9248046875}, {"start": 1757.55, "end": 1757.93, "word": " and", "probability": 0.89794921875}, {"start": 1757.93, "end": 1758.23, "word": " are", "probability": 0.92626953125}, {"start": 1758.23, "end": 1758.67, "word": " marked", "probability": 0.81884765625}, {"start": 1758.67, "end": 1758.89, "word": " on", "probability": 0.91064453125}, {"start": 1758.89, "end": 1759.07, "word": " the", "probability": 0.91845703125}, {"start": 1759.07, "end": 1759.29, "word": " dial", "probability": 0.82958984375}, {"start": 1759.29, "end": 1759.51, "word": " of", "probability": 0.95263671875}, {"start": 1759.51, "end": 1759.69, "word": " the", "probability": 0.8857421875}, {"start": 1759.69, "end": 1760.01, "word": " prism", "probability": 0.7032470703125}, {"start": 1760.01, "end": 1760.51, "word": " housing", "probability": 0.65625}], "temperature": 1.0}, {"id": 70, "seek": 179386, "start": 1779.0, "end": 1793.86, "text": "librism. So this is for the Rice Librism, because instead of going into the accounts of the theory of FIFA Worlds and then I get a twist in the corner, as we did in this lecture, the Rice Librism gives me the ..", "tokens": [38270, 5714, 76, 13, 407, 341, 307, 337, 264, 19386, 15834, 5714, 76, 11, 570, 2602, 295, 516, 666, 264, 9402, 295, 264, 5261, 295, 479, 40, 19684, 26363, 348, 82, 293, 550, 286, 483, 257, 8203, 294, 264, 4538, 11, 382, 321, 630, 294, 341, 7991, 11, 264, 19386, 15834, 5714, 76, 2709, 385, 264, 4386], "avg_logprob": -0.7246767128336018, "compression_ratio": 1.4452054794520548, "no_speech_prob": 0.0005407333374023438, "words": [{"start": 1779.0, "end": 1779.56, "word": "librism.", "probability": 0.47296142578125}, {"start": 1779.58, "end": 1779.68, "word": " So", "probability": 0.4169921875}, {"start": 1779.68, "end": 1779.9, "word": " this", "probability": 0.537109375}, {"start": 1779.9, "end": 1779.96, "word": " is", "probability": 0.62939453125}, {"start": 1779.96, "end": 1780.34, "word": " for", "probability": 0.56494140625}, {"start": 1780.34, "end": 1780.48, "word": " the", "probability": 0.496337890625}, {"start": 1780.48, "end": 1780.7, "word": " Rice", "probability": 0.36376953125}, {"start": 1780.7, "end": 1781.32, "word": " Librism,", "probability": 0.759765625}, {"start": 1781.64, "end": 1782.0, "word": " because", "probability": 0.50927734375}, {"start": 1782.0, "end": 1782.52, "word": " instead", "probability": 0.54638671875}, {"start": 1782.52, "end": 1782.72, "word": " of", "probability": 0.96484375}, {"start": 1782.72, "end": 1782.96, "word": " going", "probability": 0.285400390625}, {"start": 1782.96, "end": 1783.14, "word": " into", "probability": 0.448486328125}, {"start": 1783.14, "end": 1783.86, "word": " the", "probability": 0.1263427734375}, {"start": 1783.86, "end": 1784.18, "word": " accounts", "probability": 0.1673583984375}, {"start": 1784.18, "end": 1784.44, "word": " of", "probability": 0.68310546875}, {"start": 1784.44, "end": 1784.44, "word": " the", "probability": 0.38916015625}, {"start": 1784.44, "end": 1784.7, "word": " theory", "probability": 0.3505859375}, {"start": 1784.7, "end": 1784.88, "word": " of", "probability": 0.8974609375}, {"start": 1784.88, "end": 1785.1, "word": " FIFA", "probability": 0.4119466145833333}, {"start": 1785.1, "end": 1785.52, "word": " Worlds", "probability": 0.4145100911458333}, {"start": 1785.52, "end": 1785.58, "word": " and", "probability": 0.68701171875}, {"start": 1785.58, "end": 1785.84, "word": " then", "probability": 0.65625}, {"start": 1785.84, "end": 1785.98, "word": " I", "probability": 0.1497802734375}, {"start": 1785.98, "end": 1786.26, "word": " get", "probability": 0.323974609375}, {"start": 1786.26, "end": 1787.4, "word": " a", "probability": 0.327392578125}, {"start": 1787.4, "end": 1787.78, "word": " twist", "probability": 0.0439453125}, {"start": 1787.78, "end": 1787.96, "word": " in", "probability": 0.197509765625}, {"start": 1787.96, "end": 1788.34, "word": " the", "probability": 0.701171875}, {"start": 1788.34, "end": 1788.58, "word": " corner,", "probability": 0.81298828125}, {"start": 1788.66, "end": 1789.3, "word": " as", "probability": 0.394287109375}, {"start": 1789.3, "end": 1789.6, "word": " we", "probability": 0.8935546875}, {"start": 1789.6, "end": 1789.9, "word": " did", "probability": 0.90478515625}, {"start": 1789.9, "end": 1790.54, "word": " in", "probability": 0.83349609375}, {"start": 1790.54, "end": 1790.62, "word": " this", "probability": 0.453125}, {"start": 1790.62, "end": 1791.06, "word": " lecture,", "probability": 0.900390625}, {"start": 1791.7, "end": 1791.82, "word": " the", "probability": 0.6787109375}, {"start": 1791.82, "end": 1792.02, "word": " Rice", "probability": 0.87255859375}, {"start": 1792.02, "end": 1792.56, "word": " Librism", "probability": 0.87890625}, {"start": 1792.56, "end": 1792.86, "word": " gives", "probability": 0.890625}, {"start": 1792.86, "end": 1793.28, "word": " me", "probability": 0.93212890625}, {"start": 1793.28, "end": 1793.86, "word": " the", "probability": 0.80615234375}, {"start": 1793.86, "end": 1793.86, "word": " ..", "probability": 0.55712890625}], "temperature": 1.0}, {"id": 71, "seek": 182519, "start": 1795.57, "end": 1825.19, "text": "يعني بيعطيني النتيجة النهائية بشكل مباشر وسريع بشكل مباشر وسريع قيمة واتجاها قيمة واتجاها اذا the Reissle Prism is particularly useful in measuring Fourier's ال Fourier اللي هي الحوال الخفي يعني بستعين فيه عساس انا اعرف بالظبط قيمة الحوال الخفي و ايضا ممكن استعملهم مع ال Maddox rod ال Maddox rod و هذا هنجي بالتفصيل عنه في مساقة الحوال ايضا ممكن استعمل ال Reissle Prism", "tokens": [40228, 22653, 4724, 40228, 9566, 1829, 22653, 28239, 31371, 7435, 3660, 28239, 3224, 16373, 10632, 4724, 8592, 28820, 3714, 3555, 33599, 2288, 46952, 16572, 3615, 4724, 8592, 28820, 3714, 3555, 33599, 2288, 46952, 16572, 3615, 12174, 32640, 3660, 4032, 9307, 7435, 40294, 995, 12174, 32640, 3660, 4032, 9307, 7435, 40294, 995, 1975, 15730, 264, 1300, 891, 306, 2114, 1434, 307, 4098, 4420, 294, 13389, 36810, 311, 2423, 36810, 13672, 1829, 39896, 21542, 2407, 6027, 33962, 41185, 37495, 22653, 4724, 14851, 3615, 9957, 8978, 3224, 6225, 3794, 32277, 1975, 8315, 1975, 3615, 28480, 20666, 19913, 3555, 9566, 12174, 32640, 3660, 21542, 2407, 6027, 33962, 41185, 4032, 1975, 1829, 11242, 995, 3714, 43020, 44713, 25957, 1211, 16095, 20449, 2423, 5326, 2595, 87, 8685, 2423, 5326, 2595, 87, 8685, 4032, 23758, 8032, 1863, 7435, 1829, 20666, 2655, 5172, 9381, 26895, 18871, 3224, 8978, 47524, 995, 28671, 21542, 2407, 6027, 1975, 1829, 11242, 995, 3714, 43020, 44713, 25957, 1211, 2423, 1300, 891, 306, 2114, 1434], "avg_logprob": -0.18113426367441812, "compression_ratio": 2.013793103448276, "no_speech_prob": 1.9669532775878906e-06, "words": [{"start": 1795.57, "end": 1795.91, "word": "يعني", "probability": 0.5009765625}, {"start": 1795.91, "end": 1796.49, "word": " بيعطيني", "probability": 0.7765625}, {"start": 1796.49, "end": 1797.11, "word": " النتيجة", "probability": 0.9090576171875}, {"start": 1797.11, "end": 1797.61, "word": " النهائية", "probability": 0.9744873046875}, {"start": 1797.61, "end": 1798.29, "word": " بشكل", "probability": 0.9763997395833334}, {"start": 1798.29, "end": 1798.95, "word": " مباشر", "probability": 0.9945068359375}, {"start": 1798.95, "end": 1799.55, "word": " وسريع", "probability": 0.927734375}, {"start": 1799.55, "end": 1799.97, "word": " بشكل", "probability": 0.8704427083333334}, {"start": 1799.97, "end": 1800.41, "word": " مباشر", "probability": 0.993408203125}, {"start": 1800.41, "end": 1800.81, "word": " وسريع", "probability": 0.9684244791666666}, {"start": 1800.81, "end": 1801.35, "word": " قيمة", "probability": 0.931640625}, {"start": 1801.35, "end": 1802.39, "word": " واتجاها", "probability": 0.84296875}, {"start": 1802.39, "end": 1802.81, "word": " قيمة", "probability": 0.7861328125}, {"start": 1802.81, "end": 1803.35, "word": " واتجاها", "probability": 0.97431640625}, {"start": 1803.35, "end": 1803.63, "word": " اذا", "probability": 0.55810546875}, {"start": 1803.63, "end": 1803.83, "word": " the", "probability": 0.55712890625}, {"start": 1803.83, "end": 1804.15, "word": " Reissle", "probability": 0.40380859375}, {"start": 1804.15, "end": 1804.45, "word": " Prism", "probability": 0.790771484375}, {"start": 1804.45, "end": 1804.71, "word": " is", "probability": 0.96142578125}, {"start": 1804.71, "end": 1805.39, "word": " particularly", "probability": 0.78369140625}, {"start": 1805.39, "end": 1805.91, "word": " useful", "probability": 0.849609375}, {"start": 1805.91, "end": 1806.23, "word": " in", "probability": 0.93896484375}, {"start": 1806.23, "end": 1806.79, "word": " measuring", "probability": 0.8212890625}, {"start": 1806.79, "end": 1807.75, "word": " Fourier's", "probability": 0.613037109375}, {"start": 1807.75, "end": 1807.91, "word": " ال", "probability": 0.78173828125}, {"start": 1807.91, "end": 1808.15, "word": " Fourier", "probability": 0.5400390625}, {"start": 1808.15, "end": 1808.29, "word": " اللي", "probability": 0.908935546875}, {"start": 1808.29, "end": 1808.39, "word": " هي", "probability": 0.53955078125}, {"start": 1808.39, "end": 1808.81, "word": " الحوال", "probability": 0.92919921875}, {"start": 1808.81, "end": 1809.31, "word": " الخفي", "probability": 0.841064453125}, {"start": 1809.31, "end": 1810.07, "word": " يعني", "probability": 0.9033203125}, {"start": 1810.07, "end": 1810.71, "word": " بستعين", "probability": 0.8275146484375}, {"start": 1810.71, "end": 1810.99, "word": " فيه", "probability": 0.972900390625}, {"start": 1810.99, "end": 1811.31, "word": " عساس", "probability": 0.7386067708333334}, {"start": 1811.31, "end": 1811.55, "word": " انا", "probability": 0.724365234375}, {"start": 1811.55, "end": 1811.97, "word": " اعرف", "probability": 0.9560546875}, {"start": 1811.97, "end": 1812.49, "word": " بالظبط", "probability": 0.984130859375}, {"start": 1812.49, "end": 1813.09, "word": " قيمة", "probability": 0.99609375}, {"start": 1813.09, "end": 1813.47, "word": " الحوال", "probability": 0.9791666666666666}, {"start": 1813.47, "end": 1813.91, "word": " الخفي", "probability": 0.924072265625}, {"start": 1813.91, "end": 1814.99, "word": " و", "probability": 0.89208984375}, {"start": 1814.99, "end": 1815.45, "word": " ايضا", "probability": 0.85675048828125}, {"start": 1815.45, "end": 1815.79, "word": " ممكن", "probability": 0.99072265625}, {"start": 1815.79, "end": 1816.49, "word": " استعملهم", "probability": 0.781982421875}, {"start": 1816.49, "end": 1816.79, "word": " مع", "probability": 0.947265625}, {"start": 1816.79, "end": 1817.65, "word": " ال", "probability": 0.64453125}, {"start": 1817.65, "end": 1818.05, "word": " Maddox", "probability": 0.837890625}, {"start": 1818.05, "end": 1818.41, "word": " rod", "probability": 0.340087890625}, {"start": 1818.41, "end": 1818.67, "word": " ال", "probability": 0.71826171875}, {"start": 1818.67, "end": 1819.07, "word": " Maddox", "probability": 0.9532877604166666}, {"start": 1819.07, "end": 1819.27, "word": " rod", "probability": 0.89794921875}, {"start": 1819.27, "end": 1819.39, "word": " و", "probability": 0.728515625}, {"start": 1819.39, "end": 1819.55, "word": " هذا", "probability": 0.61181640625}, {"start": 1819.55, "end": 1820.15, "word": " هنجي", "probability": 0.7779541015625}, {"start": 1820.15, "end": 1820.95, "word": " بالتفصيل", "probability": 0.8912109375}, {"start": 1820.95, "end": 1821.23, "word": " عنه", "probability": 0.980224609375}, {"start": 1821.23, "end": 1821.39, "word": " في", "probability": 0.962890625}, {"start": 1821.39, "end": 1821.89, "word": " مساقة", "probability": 0.718505859375}, {"start": 1821.89, "end": 1823.07, "word": " الحوال", "probability": 0.9425455729166666}, {"start": 1823.07, "end": 1823.49, "word": " ايضا", "probability": 0.955078125}, {"start": 1823.49, "end": 1823.79, "word": " ممكن", "probability": 0.988037109375}, {"start": 1823.79, "end": 1824.35, "word": " استعمل", "probability": 0.9641927083333334}, {"start": 1824.35, "end": 1824.47, "word": " ال", "probability": 0.9375}, {"start": 1824.47, "end": 1824.79, "word": " Reissle", "probability": 0.9542643229166666}, {"start": 1824.79, "end": 1825.19, "word": " Prism", "probability": 0.977783203125}], "temperature": 1.0}, {"id": 72, "seek": 185481, "start": 1825.47, "end": 1854.81, "text": "In measuring the fusional vergence amplitude, and this is also in circular circuits. So, I can use the first thing in the Fourier. The second thing, of course, when I use it to measure the Fourier, which is the circular circuit, I use the Maddox-Rod sometimes. And I can also use it in the fusional vergence amplitude. And these two things, we will talk about them in circular circuits, God willing. And may God give you health and peace, and mercy and blessings from God.", "tokens": [4575, 13389, 264, 34326, 1966, 1306, 15260, 27433, 11, 293, 341, 307, 611, 294, 16476, 26354, 13, 407, 11, 286, 393, 764, 264, 700, 551, 294, 264, 36810, 13, 440, 1150, 551, 11, 295, 1164, 11, 562, 286, 764, 309, 281, 3481, 264, 36810, 11, 597, 307, 264, 16476, 9048, 11, 286, 764, 264, 5326, 2595, 87, 12, 49, 378, 2171, 13, 400, 286, 393, 611, 764, 309, 294, 264, 34326, 1966, 1306, 15260, 27433, 13, 400, 613, 732, 721, 11, 321, 486, 751, 466, 552, 294, 16476, 26354, 11, 1265, 4950, 13, 400, 815, 1265, 976, 291, 1585, 293, 4336, 11, 293, 13174, 293, 19296, 490, 1265, 13], "avg_logprob": -0.5045454301617363, "compression_ratio": 1.858267716535433, "no_speech_prob": 2.4437904357910156e-05, "words": [{"start": 1825.47, "end": 1825.83, "word": "In", "probability": 0.333984375}, {"start": 1825.83, "end": 1826.51, "word": " measuring", "probability": 0.1370849609375}, {"start": 1826.51, "end": 1826.69, "word": " the", "probability": 0.3955078125}, {"start": 1826.69, "end": 1827.19, "word": " fusional", "probability": 0.51824951171875}, {"start": 1827.19, "end": 1827.77, "word": " vergence", "probability": 0.58837890625}, {"start": 1827.77, "end": 1828.31, "word": " amplitude,", "probability": 0.65625}, {"start": 1828.49, "end": 1828.53, "word": " and", "probability": 0.52197265625}, {"start": 1828.53, "end": 1828.69, "word": " this", "probability": 0.60693359375}, {"start": 1828.69, "end": 1828.75, "word": " is", "probability": 0.5419921875}, {"start": 1828.75, "end": 1829.03, "word": " also", "probability": 0.77587890625}, {"start": 1829.03, "end": 1829.21, "word": " in", "probability": 0.57666015625}, {"start": 1829.21, "end": 1829.77, "word": " circular", "probability": 0.0430908203125}, {"start": 1829.77, "end": 1829.77, "word": " circuits.", "probability": 0.418212890625}, {"start": 1829.91, "end": 1830.13, "word": " So,", "probability": 0.798828125}, {"start": 1830.53, "end": 1830.67, "word": " I", "probability": 0.86328125}, {"start": 1830.67, "end": 1830.83, "word": " can", "probability": 0.88330078125}, {"start": 1830.83, "end": 1831.27, "word": " use", "probability": 0.86474609375}, {"start": 1831.27, "end": 1831.49, "word": " the", "probability": 0.34228515625}, {"start": 1831.49, "end": 1831.63, "word": " first", "probability": 0.8427734375}, {"start": 1831.63, "end": 1831.95, "word": " thing", "probability": 0.69140625}, {"start": 1831.95, "end": 1832.11, "word": " in", "probability": 0.7265625}, {"start": 1832.11, "end": 1832.23, "word": " the", "probability": 0.38427734375}, {"start": 1832.23, "end": 1832.53, "word": " Fourier.", "probability": 0.8671875}, {"start": 1833.21, "end": 1833.31, "word": " The", "probability": 0.51806640625}, {"start": 1833.31, "end": 1833.45, "word": " second", "probability": 0.8720703125}, {"start": 1833.45, "end": 1833.81, "word": " thing,", "probability": 0.88037109375}, {"start": 1834.69, "end": 1835.21, "word": " of", "probability": 0.76025390625}, {"start": 1835.21, "end": 1835.25, "word": " course,", "probability": 0.96240234375}, {"start": 1835.39, "end": 1835.53, "word": " when", "probability": 0.81640625}, {"start": 1835.53, "end": 1835.65, "word": " I", "probability": 0.87646484375}, {"start": 1835.65, "end": 1835.99, "word": " use", "probability": 0.78515625}, {"start": 1835.99, "end": 1836.13, "word": " it", "probability": 0.407958984375}, {"start": 1836.13, "end": 1836.31, "word": " to", "probability": 0.53369140625}, {"start": 1836.31, "end": 1836.71, "word": " measure", "probability": 0.85009765625}, {"start": 1836.71, "end": 1836.93, "word": " the", "probability": 0.84375}, {"start": 1836.93, "end": 1837.27, "word": " Fourier,", "probability": 0.81201171875}, {"start": 1837.81, "end": 1838.09, "word": " which", "probability": 0.85595703125}, {"start": 1838.09, "end": 1838.15, "word": " is", "probability": 0.92724609375}, {"start": 1838.15, "end": 1838.27, "word": " the", "probability": 0.71435546875}, {"start": 1838.27, "end": 1838.49, "word": " circular", "probability": 0.328369140625}, {"start": 1838.49, "end": 1838.65, "word": " circuit,", "probability": 0.457275390625}, {"start": 1838.93, "end": 1839.07, "word": " I", "probability": 0.466552734375}, {"start": 1839.07, "end": 1839.25, "word": " use", "probability": 0.71142578125}, {"start": 1839.25, "end": 1839.79, "word": " the", "probability": 0.378662109375}, {"start": 1839.79, "end": 1840.17, "word": " Maddox", "probability": 0.9264322916666666}, {"start": 1840.17, "end": 1840.41, "word": "-Rod", "probability": 0.763671875}, {"start": 1840.41, "end": 1840.79, "word": " sometimes.", "probability": 0.52490234375}, {"start": 1841.39, "end": 1841.95, "word": " And", "probability": 0.6044921875}, {"start": 1841.95, "end": 1842.29, "word": " I", "probability": 0.70361328125}, {"start": 1842.29, "end": 1842.75, "word": " can", "probability": 0.92236328125}, {"start": 1842.75, "end": 1842.75, "word": " also", "probability": 0.83203125}, {"start": 1842.75, "end": 1843.39, "word": " use", "probability": 0.884765625}, {"start": 1843.39, "end": 1843.61, "word": " it", "probability": 0.71484375}, {"start": 1843.61, "end": 1843.89, "word": " in", "probability": 0.75244140625}, {"start": 1843.89, "end": 1844.49, "word": " the", "probability": 0.69775390625}, {"start": 1844.49, "end": 1844.99, "word": " fusional", "probability": 0.8359375}, {"start": 1844.99, "end": 1845.67, "word": " vergence", "probability": 0.946044921875}, {"start": 1845.67, "end": 1846.67, "word": " amplitude.", "probability": 0.7998046875}, {"start": 1846.85, "end": 1846.87, "word": " And", "probability": 0.7763671875}, {"start": 1846.87, "end": 1847.17, "word": " these", "probability": 0.75146484375}, {"start": 1847.17, "end": 1847.49, "word": " two", "probability": 0.6513671875}, {"start": 1847.49, "end": 1847.87, "word": " things,", "probability": 0.7998046875}, {"start": 1848.17, "end": 1848.37, "word": " we", "probability": 0.904296875}, {"start": 1848.37, "end": 1848.37, "word": " will", "probability": 0.6728515625}, {"start": 1848.37, "end": 1848.75, "word": " talk", "probability": 0.82080078125}, {"start": 1848.75, "end": 1848.93, "word": " about", "probability": 0.89990234375}, {"start": 1848.93, "end": 1849.07, "word": " them", "probability": 0.6435546875}, {"start": 1849.07, "end": 1849.19, "word": " in", "probability": 0.91943359375}, {"start": 1849.19, "end": 1849.85, "word": " circular", "probability": 0.302734375}, {"start": 1849.85, "end": 1849.85, "word": " circuits,", "probability": 0.87548828125}, {"start": 1850.45, "end": 1850.71, "word": " God", "probability": 0.371337890625}, {"start": 1850.71, "end": 1850.95, "word": " willing.", "probability": 0.69873046875}, {"start": 1851.59, "end": 1851.73, "word": " And", "probability": 0.5263671875}, {"start": 1851.73, "end": 1851.85, "word": " may", "probability": 0.44189453125}, {"start": 1851.85, "end": 1851.85, "word": " God", "probability": 0.42724609375}, {"start": 1851.85, "end": 1851.93, "word": " give", "probability": 0.51953125}, {"start": 1851.93, "end": 1852.13, "word": " you", "probability": 0.95849609375}, {"start": 1852.13, "end": 1852.41, "word": " health", "probability": 0.39306640625}, {"start": 1852.41, "end": 1852.57, "word": " and", "probability": 0.78955078125}, {"start": 1852.57, "end": 1852.85, "word": " peace,", "probability": 0.81396484375}, {"start": 1853.03, "end": 1853.43, "word": " and", "probability": 0.4853515625}, {"start": 1853.43, "end": 1853.65, "word": " mercy", "probability": 0.65087890625}, {"start": 1853.65, "end": 1854.51, "word": " and", "probability": 0.41162109375}, {"start": 1854.51, "end": 1854.81, "word": " blessings", "probability": 0.6943359375}, {"start": 1854.81, "end": 1854.81, "word": " from", "probability": 0.47314453125}, {"start": 1854.81, "end": 1854.81, "word": " God.", "probability": 0.88916015625}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 1854.926125, "duration_after_vad": 1641.8093749999957}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/_gaLIGfFKl4.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/_gaLIGfFKl4.srt
new file mode 100644
index 0000000000000000000000000000000000000000..6c2280afd5d2a9c1022ee4fd981b7e4828195fe2
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/_gaLIGfFKl4.srt
@@ -0,0 +1,2043 @@
+
+1
+00:00:01,480 --> 00:00:04,240
+بسم الله الرحمن الرحيم، بنواصل مع محاضرات الـ
+
+2
+00:00:04,240 --> 00:00:08,180
+Geometric Optics، ووصلنا لموضوع الـ Paraxial Ray
+
+3
+00:00:08,180 --> 00:00:11,440
+Tracing Through Convex Spherical Lenses، هذه
+
+4
+00:00:11,440 --> 00:00:15,180
+المحاضرة حقيقة تعتمد على المحاضرة السابقة، و اللي
+
+5
+00:00:15,180 --> 00:00:19,260
+بنذكر في بعض المعلومات اللي وردت فيها، بنقول أي
+
+6
+00:00:19,260 --> 00:00:24,440
+أشعة موازية to the optical axis any rays parallel
+
+7
+00:00:24,440 --> 00:00:28,600
+to the optical axis will meet in the Fp in the
+
+8
+00:00:28,600 --> 00:00:31,200
+posterior focal point we don't want all the rays,
+
+9
+00:00:31,520 --> 00:00:34,400
+we want only one ray, that is, any ray any ray
+
+10
+00:00:34,400 --> 00:00:37,620
+that is parallel to the optical axis after leaving
+
+11
+00:00:37,620 --> 00:00:42,000
+the lens passes in the Fp in the posterior focal
+
+12
+00:00:42,000 --> 00:00:46,540
+point another information, any ray any ray that
+
+13
+00:00:46,540 --> 00:00:53,080
+passes through the Faمر في الـ F-A يعتبر كأنه صادر
+
+14
+00:00:53,080 --> 00:00:55,620
+من الـ F-A من الـ anterior focus و بالتالي لما
+
+15
+00:00:55,620 --> 00:00:59,660
+بيخرج من ال lens بيخرج موازي لل lens هاي عندي كمان
+
+16
+00:00:59,660 --> 00:01:04,600
+شعاع مر في ال F-A و هو ذاهب إلى ال lens لما خرج
+
+17
+00:01:04,600 --> 00:01:09,270
+خرج موازي لل optical axis موازي لل optical axis The
+
+18
+00:01:09,270 --> 00:01:11,810
+third thing we need to remember is that any ray
+
+19
+00:01:11,810 --> 00:01:14,190
+that passes through the nodal point remains
+
+20
+00:01:14,190 --> 00:01:18,010
+undeviated. Undeviated means that it does not
+
+21
+00:01:18,010 --> 00:01:21,130
+change its path at all because it passed through
+
+22
+00:01:21,130 --> 00:01:22,890
+the nodal point. Because it passed through the
+
+23
+00:01:22,890 --> 00:01:25,890
+nodal point. These are the things we need to
+
+24
+00:01:25,890 --> 00:01:29,800
+remember before we startin our lecture, which is
+
+25
+00:01:29,800 --> 00:01:32,860
+Paraxial Ray Tracing Through Convex Spherical
+
+26
+00:01:32,860 --> 00:01:38,660
+Lenses We want to trace the paraxial ray during
+
+27
+00:01:38,660 --> 00:01:43,320
+its passage through a convex spherical lens and
+
+28
+00:01:43,320 --> 00:01:50,040
+see that we can use two or three rays to reach the
+
+29
+00:01:50,040 --> 00:01:51,960
+location of the image without any calculations,
+
+30
+00:01:52,180 --> 00:01:57,540
+but only by drawingfrom any object point, three
+
+31
+00:01:57,540 --> 00:02:00,320
+simple, يعني لو اختارنا object point، ال object في
+
+32
+00:02:00,320 --> 00:02:05,080
+multiple points، بس احنا هنختار point معينة، نفرض
+
+33
+00:02:05,080 --> 00:02:09,300
+انها point A، نسميها النقطة A، three simple rays
+
+34
+00:02:09,300 --> 00:02:12,380
+are drawn through a thin lens to locate a
+
+35
+00:02:12,380 --> 00:02:15,260
+corresponding point in the image، يعني اذا اختارنا
+
+36
+00:02:15,260 --> 00:02:19,570
+النقطة A،Its image will be a condition. So if you
+
+37
+00:02:19,570 --> 00:02:21,930
+see a condition, where will it fall in space?
+
+38
+00:02:22,110 --> 00:02:24,790
+Where is its location in space? By using three
+
+39
+00:02:24,790 --> 00:02:29,710
+rays, three lines or three rays, three light rays
+
+40
+00:02:29,710 --> 00:02:32,810
+coming from the object point that we chose, which
+
+41
+00:02:32,810 --> 00:02:37,250
+is a, we can determine the location of a
+
+42
+00:02:37,250 --> 00:02:40,950
+condition, which is the image of a, the image of a
+
+43
+00:02:41,250 --> 00:02:44,710
+وحقيقة احنا مش محتاجين three rays وانما محتاجين
+
+44
+00:02:44,710 --> 00:02:47,870
+only two rays are actually needed زي ما هنشوف بعد
+
+45
+00:02:47,870 --> 00:02:51,410
+قليل، the same rays are used to find the
+
+46
+00:02:51,410 --> 00:02:55,630
+corresponding points if a thick lens or multiple
+
+47
+00:02:55,630 --> 00:02:58,910
+multi-element lens system is modeled by first
+
+48
+00:02:58,910 --> 00:03:02,540
+order optical principlesSo these words that we are
+
+49
+00:03:02,540 --> 00:03:03,660
+going to talk about, we are going to talk about
+
+50
+00:03:03,660 --> 00:03:07,880
+thin lenses, right convex lens, spherical lens,
+
+51
+00:03:08,280 --> 00:03:11,240
+but they are thin lenses. So, is it okay to use
+
+52
+00:03:11,240 --> 00:03:17,860
+retracing or drawing if I have a thick lens?If I
+
+53
+00:03:17,860 --> 00:03:47,580
+have a thick lens, yes I can use it
+
+54
+00:03:50,700 --> 00:03:59,300
+The first two rays traverse F-A and F-B The
+
+55
+00:03:59,300 --> 00:04:03,160
+final ray, known as the central ray or chief ray,
+
+56
+00:04:03,680 --> 00:04:04,920
+traverses the nodal point
+
+57
+00:04:24,560 --> 00:04:29,180
+For a thin lens immersed in a medium with a
+
+58
+00:04:29,180 --> 00:04:32,220
+uniform refractive index, the nodal points
+
+59
+00:04:32,220 --> 00:04:32,840
+overlap.
+
+60
+00:04:43,160 --> 00:04:46,320
+يعني هنا هوا و هنا هوا أو هنا مية و هنا مية
+
+61
+00:04:46,320 --> 00:04:49,300
+بيسموها uniform medium مادة متجانسة يعني مرموزة
+
+62
+00:04:49,300 --> 00:04:53,020
+فيه مادة متجانسة ال nodal points ال anterior و ال
+
+63
+00:04:53,020 --> 00:04:56,680
+posterior overlap يعني بيعتبروا نقطة واحدة يعني
+
+64
+00:04:56,680 --> 00:05:00,420
+جايين على بعضهم البعض هذا الكلام ضروري جدا احنا
+
+65
+00:05:00,420 --> 00:05:04,440
+نتذكره اذا for a thin lens immersed in a uniform
+
+66
+00:05:04,440 --> 00:05:08,600
+optical medium such as air or water
+
+67
+00:05:16,840 --> 00:05:20,160
+For a thin lens emits in a medium with a uniform
+
+68
+00:05:20,160 --> 00:05:23,900
+refractive index, the nodal points overlap at the
+
+69
+00:05:23,900 --> 00:05:27,840
+optical center of the lens. The central ray, or
+
+70
+00:05:27,840 --> 00:05:32,180
+the chief ray, هو الشعع اللي بيعدي في ال nodal
+
+71
+00:05:32,180 --> 00:05:35,300
+point. It traverses the nodal points undeviated
+
+72
+00:05:35,300 --> 00:05:39,040
+يعني مابيصيرلوش انكسار بالمرةthat is it does not
+
+73
+00:05:39,040 --> 00:05:46,000
+change direction with respect to the optical axis
+
+74
+00:05:46,000 --> 00:05:49,660
+it is
+
+75
+00:05:49,660 --> 00:05:55,860
+customary to represent object as arrows to
+
+76
+00:05:55,860 --> 00:05:57,500
+show size and orientation
+
+77
+00:06:08,760 --> 00:06:12,660
+The tip of an arrow represents a single object
+
+78
+00:06:12,660 --> 00:06:13,040
+point
+
+79
+00:06:23,710 --> 00:06:29,130
+assume an object is placed 20 cm in front of plus
+
+80
+00:06:29,130 --> 00:06:31,730
+10 diopter lens immersed in air
+
+81
+00:06:35,590 --> 00:06:39,390
+object, we represented it with an arrow, the tip
+
+82
+00:06:39,390 --> 00:06:42,610
+of the arrow is the point A, we took it as an
+
+83
+00:06:42,610 --> 00:06:44,690
+example on the points of the object, that is, it
+
+84
+00:06:44,690 --> 00:06:46,970
+will represent the points of the object, we said
+
+85
+00:06:46,970 --> 00:06:50,230
+that A is a point in the object, A condition is
+
+86
+00:06:50,230 --> 00:06:53,310
+the image of A. Well, let's see what happens to A
+
+87
+00:06:53,310 --> 00:06:56,270
+condition in space. Without using any
+
+88
+00:06:56,270 --> 00:06:59,570
+calculations, without using any calculations, I
+
+89
+00:06:59,570 --> 00:07:02,330
+need to draw three rays. The first ray is equal to
+
+90
+00:07:02,330 --> 00:07:05,330
+the optical axis.From the previous lecture, we
+
+91
+00:07:05,330 --> 00:07:08,310
+know that any beam parallel to the optical axis,
+
+92
+00:07:08,470 --> 00:07:11,870
+without calculations, will enter the posterior
+
+93
+00:07:11,870 --> 00:07:16,990
+focus, which is the tail of this lens. As long as
+
+94
+00:07:16,990 --> 00:07:19,870
+it enters the posterior focus, and I define where
+
+95
+00:07:19,870 --> 00:07:22,890
+the posterior focus is, I draw a line that enters
+
+96
+00:07:22,890 --> 00:07:25,130
+the posterior focus, and I extend it to infinity,
+
+97
+00:07:25,690 --> 00:07:28,970
+to the plus optical infinity. Okay, second thing,
+
+98
+00:07:29,550 --> 00:07:34,020
+the beam number twoThe second ray of light Let's
+
+99
+00:07:34,020 --> 00:07:40,180
+color the rays so that it becomes clear in the
+
+100
+00:07:40,180 --> 00:07:44,860
+vision This is the first ray in red And we
+
+101
+00:07:44,860 --> 00:07:49,200
+continue with the red color to make it clear So
+
+102
+00:07:49,200 --> 00:07:52,840
+the ray parallel to the optical axis Entered the
+
+103
+00:07:52,840 --> 00:07:56,900
+posterior focus of the lens Which is plus ten
+
+104
+00:07:56,900 --> 00:08:02,650
+dioders Okay, the second rayمر هو رايح على العدسة
+
+105
+00:08:02,650 --> 00:08:06,650
+و ذهب إلى العدسة صادف مروره بال .. بال fa بال
+
+106
+00:08:06,650 --> 00:08:11,370
+anterior focus هذا معروف أنه من المحاضرة السابقة
+
+107
+00:08:11,370 --> 00:08:15,750
+أنه أي شعاع بيمر بال anterior focal point كأنه
+
+108
+00:08:15,750 --> 00:08:19,570
+صادر منها بالضبط كأنه صادر منها مافي اختلاف بتاتا
+
+109
+00:08:19,570 --> 00:08:24,110
+سواء مر فيها مرور أو صادر منها بالفعلIt's like
+
+110
+00:08:24,110 --> 00:08:27,050
+it's coming out of it, so its fate is to come out
+
+111
+00:08:27,050 --> 00:08:31,330
+of the lens parallel to the optical axis, as the
+
+112
+00:08:31,330 --> 00:08:34,930
+picture shows. The point of contact between the
+
+113
+00:08:34,930 --> 00:08:37,350
+two rays determines the location of a condition in
+
+114
+00:08:37,350 --> 00:08:41,490
+space. From this point, I draw or lower a column.
+
+115
+00:08:41,750 --> 00:08:45,050
+I lower a column on the optical axis. This is the
+
+116
+00:08:45,050 --> 00:08:47,270
+height of the image. This is the height of the
+
+117
+00:08:47,270 --> 00:08:49,970
+image. If you notice, until now, we have not used
+
+118
+00:08:51,380 --> 00:08:54,900
+Any kind of calculations, but it's necessary if we
+
+119
+00:08:54,900 --> 00:08:59,000
+choose a lens with a certain power, we find FA and
+
+120
+00:08:59,000 --> 00:09:03,540
+FB and we put FA and FB in their correct place in
+
+121
+00:09:03,540 --> 00:09:09,220
+relation to the sourceالان احنا باستعمال شعاعين
+
+122
+00:09:09,220 --> 00:09:13,700
+اقدرنا نصل لهدي الغاية الشعاع التالت هو شعاع
+
+123
+00:09:13,700 --> 00:09:18,680
+للتأكيد فقط بيسموه ال Central Ray اللي هو مرسوم
+
+124
+00:09:18,680 --> 00:09:23,220
+باللون الأبيض ال Central Ray طبعا زي ما هو عارفين
+
+125
+00:09:23,220 --> 00:09:26,540
+زي ما احنا عارفين انه Central Ray بصدر من A و
+
+126
+00:09:26,540 --> 00:09:29,920
+بصادف دخوله في ال nodal point اذا مش هيغير طريقه
+
+127
+00:09:29,920 --> 00:09:34,460
+ضروري بعد ما انا رسمت الشعاع الأول والتانيThe
+
+128
+00:09:34,460 --> 00:09:37,900
+parallel who went in the posterior focus or in the
+
+129
+00:09:37,900 --> 00:09:41,160
+FB and who passed in the FA and came out parallel
+
+130
+00:09:41,160 --> 00:09:43,920
+and met at a point It is very important if the
+
+131
+00:09:43,920 --> 00:09:45,800
+drawing is correct, if the drawing is correct,
+
+132
+00:09:45,900 --> 00:09:48,180
+there is no mistake That when he passes through
+
+133
+00:09:48,180 --> 00:09:51,380
+the central ray, he must meet them at the meeting
+
+134
+00:09:51,380 --> 00:09:54,800
+point That is, he should not be off the meeting
+
+135
+00:09:54,800 --> 00:09:57,600
+point, he must be directed towards the meeting
+
+136
+00:09:57,600 --> 00:10:00,620
+point as the drawing indicatesSometimes here, I'm
+
+137
+00:10:00,620 --> 00:10:03,720
+confirming that this is really the meeting point,
+
+138
+00:10:03,880 --> 00:10:06,080
+and what is the condition here in the gap? I mean,
+
+139
+00:10:06,140 --> 00:10:07,780
+what is the condition of what picture is happening
+
+140
+00:10:07,780 --> 00:10:10,180
+here in the gap? And according to the drawing that
+
+141
+00:10:10,180 --> 00:10:11,980
+shows me, it tells me that the picture is upside
+
+142
+00:10:11,980 --> 00:10:16,810
+down. Now, I keep seeingto transfer magnification
+
+143
+00:10:16,810 --> 00:10:18,630
+either I measure the height of the image and I
+
+144
+00:10:18,630 --> 00:10:21,090
+divide it by the height of the object or I measure
+
+145
+00:10:21,090 --> 00:10:23,150
+the distance of the image and I divide it by the
+
+146
+00:10:23,150 --> 00:10:24,870
+distance of the object and that's how you solve
+
+147
+00:10:24,870 --> 00:10:28,610
+the problem without any calculations in terms of
+
+148
+00:10:28,610 --> 00:10:31,230
+versions or anything similar in terms of versions
+
+149
+00:10:31,230 --> 00:10:33,230
+or anything similar but as we said at the
+
+150
+00:10:33,230 --> 00:10:35,610
+beginning it is very important that wemeans to
+
+151
+00:10:35,610 --> 00:10:39,890
+make sure of the distance between FA and FB from
+
+152
+00:10:39,890 --> 00:10:42,190
+this case let's try to see what the simulation
+
+153
+00:10:42,190 --> 00:10:46,970
+will give us today we want to take the grid and we
+
+154
+00:10:46,970 --> 00:10:51,770
+want to say that I have a single ray I want to
+
+155
+00:10:51,770 --> 00:10:53,230
+consider that this is not a ray, I want to
+
+156
+00:10:53,230 --> 00:10:58,070
+consider it a line representing
+
+157
+00:10:58,070 --> 00:11:00,790
+the optical axis because we don't have lines here
+
+158
+00:11:00,790 --> 00:11:01,970
+now
+
+159
+00:11:06,170 --> 00:11:12,790
+I want to use an ideal
+
+160
+00:11:12,790 --> 00:11:19,190
+lens plus 10 megapixels let's make it bigger
+
+161
+00:11:29,360 --> 00:11:33,940
+this is my optical axis and this is my lens okay
+
+162
+00:11:33,940 --> 00:11:37,260
+now I want to draw a parallel beam to the optical
+
+163
+00:11:37,260 --> 00:11:42,040
+axis and we see this beam of course just make sure
+
+164
+00:11:42,040 --> 00:11:46,980
+that the lens is 10 diopter the focal length is
+
+165
+00:11:46,980 --> 00:11:51,920
+100 mm which is 10 cm which is the focal length of
+
+166
+00:11:51,920 --> 00:11:58,170
+the plus 10 diopter lens now I want to take a rayI
+
+167
+00:11:58,170 --> 00:12:04,970
+will make it parallel to the optical axis I will
+
+168
+00:12:04,970 --> 00:12:09,970
+make it parallel to the optical axis This
+
+169
+00:12:09,970 --> 00:12:14,730
+ray will enter exactly in the FB Okay, we want to
+
+170
+00:12:14,730 --> 00:12:19,310
+make sure of this, we say where is the ruler? Here
+
+171
+00:12:19,310 --> 00:12:19,670
+is the ruler
+
+172
+00:12:26,780 --> 00:12:32,080
+we need to move the ruler distance
+
+173
+00:12:32,080 --> 00:12:38,560
+from the lens to this point where this beam cut
+
+174
+00:12:38,560 --> 00:12:41,380
+was parallel to the optical axis entered the lens
+
+175
+00:12:41,380 --> 00:12:44,620
+and cut it 100mm which means 10cm so the posterior
+
+176
+00:12:44,620 --> 00:12:49,440
+focus really goes away 10cm as this drawing says
+
+177
+00:12:55,020 --> 00:12:57,620
+Posterior focal point is 10 cm away from the point
+
+178
+00:12:57,620 --> 00:12:59,160
+of reference. Why? Because if we multiply the
+
+179
+00:12:59,160 --> 00:13:02,320
+refractive index 1 by 10 diopters, we get 1 from
+
+180
+00:13:02,320 --> 00:13:06,420
+10 meters, which is 10 cm. So here, when I had a
+
+181
+00:13:06,420 --> 00:13:09,000
+parallel beam, what is this point? What is this
+
+182
+00:13:09,000 --> 00:13:13,580
+point? Okay, now I want to cancel the ruler.
+
+183
+00:13:18,000 --> 00:13:20,840
+And I want to take another beam to pass through F
+
+184
+00:13:20,840 --> 00:13:26,800
+A. which is let's put the ruler on the other side
+
+185
+00:13:26,800 --> 00:13:38,280
+so
+
+186
+00:13:38,280 --> 00:13:43,600
+this point is 10 cm away so this point is FA now I
+
+187
+00:13:43,600 --> 00:13:46,380
+want to pass a ray through this point we will see
+
+188
+00:13:46,380 --> 00:13:51,920
+how it will come out parallel to the optical axis
+
+189
+00:13:56,290 --> 00:13:58,510
+No, we don't want to move this ray, this is
+
+190
+00:13:58,510 --> 00:14:01,510
+basically equal, it will enter the FB Now I want
+
+191
+00:14:01,510 --> 00:14:14,210
+another ray Duplicate Here
+
+192
+00:14:14,210 --> 00:14:20,550
+we inserted it in the point Now
+
+193
+00:14:20,550 --> 00:14:24,990
+exactly, it entered in this point
+
+223
+00:16:24,840 --> 00:16:30,800
+The second ray is a drone that parallels the
+
+224
+00:16:30,800 --> 00:16:35,460
+optical axis until it enters the lens, it emerges 
+
+225
+00:16:35,460 --> 00:16:40,120
+from the lens and passes through FB on its way to
+
+226
+00:16:40,120 --> 00:16:43,560
+plus infinity. The intersection of these two rays
+
+227
+00:16:43,560 --> 00:16:46,520
+defines the corresponding image point. Let's look
+
+228
+00:16:46,520 --> 00:16:48,740
+at this. We say that the secondary is drawn
+
+229
+00:16:48,740 --> 00:16:52,080
+parallel to the optical axis after it leaves the
+
+230
+00:16:52,080 --> 00:16:54,460
+lens and passes through FB and remains going
+
+231
+00:16:54,460 --> 00:16:56,980
+towards the plus optical infinity. The plus
+
+232
+00:16:56,980 --> 00:16:59,040
+optical infinity is not only the one towards the
+
+233
+00:16:59,040 --> 00:17:01,940
+optical axis. Whatever is on the right of the lens
+
+234
+00:17:01,940 --> 00:17:04,540
+extends to its final destination, this is the plus
+
+235
+00:17:04,540 --> 00:17:07,340
+optical infinity. The intersection of the first
+
+236
+00:17:07,340 --> 00:17:10,400
+ray with the second ray determines the image
+
+237
+00:17:10,400 --> 00:17:14,690
+point. هذه هي ال intersection، إذاً هذه هي ال image
+
+238
+00:17:14,690 --> 00:17:19,370
+point، إذاً a second ray، قلنا the intersection of
+
+239
+00:17:19,370 --> 00:17:22,910
+these two rays defines the corresponding image
+
+240
+00:17:22,910 --> 00:17:26,230
+point. Note that the image in this example is
+
+241
+00:17:26,230 --> 00:17:29,690
+inverted، نفس ما طلع معانا بالرسم inverted، يعني
+
+242
+00:17:29,690 --> 00:17:32,950
+below the optical axis، وينما ال object above the
+
+243
+00:17:32,950 --> 00:17:37,090
+optical axis. The location of the image is
+
+244
+00:17:37,090 --> 00:17:39,410
+determined by vergence calculations.
+
+245
+00:17:52,560 --> 00:17:55,860
+Divergence of light entering the lens is minus one
+
+246
+00:17:55,860 --> 00:17:57,860
+minus because the light is divergent from the
+
+247
+00:17:57,860 --> 00:18:02,100
+object to twenty centimeters which is minus five
+
+248
+00:18:02,100 --> 00:18:05,180
+diopters according to the lens maker equation or
+
+249
+00:18:05,180 --> 00:18:08,160
+according to the thin lens equation. Divergence of
+
+250
+00:18:08,160 --> 00:18:11,900
+light exiting the lens is minus five diopters plus
+
+251
+00:18:11,900 --> 00:18:15,140
+the power gives me v which is plus five diopters.
+
+252
+00:18:15,140 --> 00:18:20,210
+The image uncertainty over V I equals uncertainty
+
+253
+00:18:20,210 --> 00:18:22,830
+over V which is one over plus five diopters which
+
+254
+00:18:22,830 --> 00:18:25,710
+equals plus two out of ten meters which equals
+
+255
+00:18:25,710 --> 00:18:28,630
+twenty centimeters to the right of the lens. Twenty
+
+256
+00:18:28,630 --> 00:18:30,870
+centimeters to the right of the lens of course
+
+257
+00:18:30,870 --> 00:18:36,310
+here we used different distances. Here we used 
+
+258
+00:18:36,310 --> 00:18:39,390
+different distances so it will not be twenty 
+
+259
+00:18:39,390 --> 00:18:42,850
+centimeters to the right of the lens. We can adjust
+
+260
+00:18:42,850 --> 00:18:45,710
+all our work and repeat it from the beginning. High
+
+261
+00:18:45,710 --> 00:18:52,510
+reset. We put grid here and we assume that this is a
+
+262
+00:18:52,510 --> 00:18:58,390
+ray and we want to use it as an optical axis.
+
+263
+00:18:58,390 --> 00:19:07,270
+Now
+
+264
+00:19:07,270 --> 00:19:09,470
+we put lens
+
+265
+00:19:21,230 --> 00:19:24,690
+This lens has a power of plus 10 diopters because
+
+266
+00:19:24,690 --> 00:19:30,610
+the focal length is 10 cm in the air. Now my body
+
+267
+00:19:30,610 --> 00:19:34,350
+is supposed to be 20 cm by 20 cm, I want to use
+
+268
+00:19:34,350 --> 00:19:34,830
+the ruler.
+
+269
+00:19:50,620 --> 00:19:53,460
+200 mm means 20 cm, which means the object point
+
+270
+00:19:53,460 --> 00:19:55,980
+will be at this distance. Now let's take another
+
+271
+00:19:55,980 --> 00:19:56,160
+ray
+
+272
+00:20:08,080 --> 00:20:11,440
+Notice that it entered the FB, the FB is 10 cm
+
+273
+00:20:11,440 --> 00:20:13,540
+away from the lens. Because it is parallel to the
+
+274
+00:20:13,540 --> 00:20:17,080
+optical axis, of course, 10 cm from 200 mm to 300
+
+275
+00:20:17,080 --> 00:20:20,000
+mm means that there is a distance of 100 mm, which
+
+276
+00:20:20,000 --> 00:20:33,600
+is 10 cm. The second flash Now
+
+277
+00:20:33,600 --> 00:20:39,210
+this flash happened inside. No, it's not inside yet.
+
+278
+00:20:39,930 --> 00:20:44,130
+It's in the posterior focal point. It's inside, in
+
+279
+00:20:44,130 --> 00:20:46,210
+the anterior, sorry, focal point. It comes out
+
+280
+00:20:46,210 --> 00:20:49,510
+parallel. The place where they meet determines the
+
+281
+00:20:49,510 --> 00:20:53,660
+image. Do you see the image apart? 20 cm, how did
+
+282
+00:20:53,660 --> 00:20:56,560
+she know that from 200 to 400 there is 200 mm
+
+283
+00:20:56,560 --> 00:20:59,500
+which means 20 cm. The object is also at a distance
+
+284
+00:20:59,500 --> 00:21:02,380
+of 20 cm, the image is at a distance of 20 cm and 
+
+285
+00:21:02,380 --> 00:21:06,360
+the object is at a distance of 20 cm. The ray that
+
+286
+00:21:06,360 --> 00:21:10,140
+remained with him
+
+287
+00:21:10,140 --> 00:21:11,560
+is the chief ray.
+
+288
+00:21:20,090 --> 00:21:25,110
+Image distance is 20 cm to the right and object
+
+289
+00:21:25,110 --> 00:21:30,030
+distance is 20 cm to the left, so transference
+
+290
+00:21:30,030 --> 00:21:32,950
+magnification is minus 1 because image distance to
+
+291
+00:21:32,950 --> 00:21:38,490
+object distance is plus 2 out of 10 meters on minus
+
+292
+00:21:38,490 --> 00:21:41,490
+two out of ten meters, which is x minus one. The
+
+293
+00:21:41,490 --> 00:21:43,730
+picture is upside down and exactly the height of 
+
+294
+00:21:43,730 --> 00:21:46,170
+the object. If we multiply the height of the object
+
+295
+00:21:46,170 --> 00:21:50,710
+by squares, square two, three, four, five. Here
+
+296
+00:21:50,710 --> 00:21:55,850
+also square two, three, four, five, five.
+
+297
+00:21:55,850 --> 00:21:58,810
+Therefore, the height of the picture is the same
+
+298
+00:21:58,810 --> 00:22:03,920
+as the height of the object. Because the object and 
+
+299
+00:22:03,920 --> 00:22:06,880
+the image are equidistant from the lens, the 
+
+300
+00:22:06,880 --> 00:22:10,460
+transphase magnification is minus one, the central
+
+301
+00:22:10,460 --> 00:22:14,920
+ray can also be drawn through the optical center
+
+302
+00:22:14,920 --> 00:22:18,080
+of the lens to confirm the location, to confirm. 
+
+303
+00:22:22,780 --> 00:22:27,220
+Now what if the object in the previous example
+
+304
+00:22:27,220 --> 00:22:30,880
+is moved closer so that it is five centimeters in
+
+305
+00:22:30,880 --> 00:22:35,300
+front of the lens, instead of عشرين صنطي in front
+
+306
+00:22:35,300 --> 00:22:39,820
+يعني inside FA الآن بدنا بنقول هذا السيناريو حدث 
+
+307
+00:22:39,820 --> 00:22:44,720
+معنا هى FA هى نقطة FA طب لو ال object كان جوا 
+
+308
+00:22:44,720 --> 00:22:48,940
+المنطقة يعني أقرب لل lens من البقرة الأمامية يعني 
+
+309
+00:22:48,940 --> 00:22:53,100
+ال object محتوط هنا يا ترى إيش السيناريوهات اللى 
+
+310
+00:22:53,100 --> 00:22:56,520
+هتسير معانا إيش السيناريوهات اللى هتسير معانا
+
+311
+00:22:56,520 --> 00:22:57,300
+بنقول
+
+312
+00:23:04,470 --> 00:23:07,990
+Here I have the lens, its strength is plus 10
+
+313
+00:23:07,990 --> 00:23:11,030
+diopters, if we point to the lens, the focal
+
+314
+00:23:11,030 --> 00:23:14,390
+length will be 100mm, which is 10 diopters. We put 
+
+315
+00:23:14,390 --> 00:23:19,310
+the lens at a distance, or we put the object at
+
+316
+00:23:19,310 --> 00:23:21,950
+half the distance. At half the distance, we say
+
+317
+00:23:21,950 --> 00:23:25,510
+here is the ray, and here I have an object point.
+
+318
+00:23:29,550 --> 00:23:33,250
+What will happen is the first thing. This is the
+
+319
+00:23:33,250 --> 00:23:36,630
+first thing. Parallel rays will enter the FB, there
+
+320
+00:23:36,630 --> 00:23:40,470
+is no change on this issue. Okay, FA is here, 
+
+321
+00:23:42,330 --> 00:23:45,850
+excuse me, FA at a distance of 10 cm, this point
+
+322
+00:23:45,850 --> 00:23:48,790
+that indicates it is FA. Because this is above, the
+
+323
+00:23:48,790 --> 00:23:52,830
+lens is plus 10, then the original distance is 10
+
+324
+00:23:52,830 --> 00:23:57,250
+cm, that is, at this point, FA falls. Okay, we want
+
+325
+00:23:57,250 --> 00:23:58,790
+to try the object and keep it at a distance of
+
+326
+00:23:58,790 --> 00:24:04,780
+exactly 5 cm, means two and a half squares, and this 
+
+327
+00:24:04,780 --> 00:24:09,820
+lens, we have to extend it a lot. No, we will not
+
+328
+00:24:09,820 --> 00:24:17,240
+extend it, we will do something else. This
+
+329
+00:24:17,240 --> 00:24:22,680
+beam is parallel to the optical axis. It
+
+330
+00:24:22,680 --> 00:24:25,180
+will pass through FB completely. 
+
+331
+00:24:26,840 --> 00:24:33,680
+This FB has a sign of 300 minus 200, so this is 10
+
+332
+00:24:33,680 --> 00:24:36,880
+cm. As long as it is equal without calculations, it 
+
+333
+00:24:36,880 --> 00:24:40,900
+enters the FB. Okay, you can say I don't believe
+
+334
+00:24:40,900 --> 00:24:48,000
+it, we can say this is duplication. And here we 
+
+335
+00:24:48,000 --> 00:24:53,360
+took another ray and made it also equal to the
+
+336
+00:24:53,360 --> 00:24:54,300
+optical axis. 
+
+337
+00:24:56,970 --> 00:24:59,670
+Equal to the optical axis, as long as it is equal
+
+338
+00:24:59,670 --> 00:25:02,210
+to the optical axis, it must pass through FB, and
+
+339
+00:25:02,210 --> 00:25:04,970
+third, fourth, tenth, and twentieth rays, of course
+
+340
+00:25:04,970 --> 00:25:09,210
+here. This ray is delayed. We now have an object
+
+341
+00:25:09,210 --> 00:25:12,750
+present inside an area inside the frontal 
+
+342
+00:25:12,750 --> 00:25:14,430
+capillary region. This is called the frontal
+
+343
+00:25:14,430 --> 00:25:16,350
+capillary region, from the frontal capillary
+
+344
+00:25:16,350 --> 00:25:19,110
+region which is FA, anterior focus to the lens,
+
+345
+00:25:19,110 --> 00:25:23,850
+which is called anterior focal link, object 5 cm
+
+346
+00:25:23,850 --> 00:25:29,690
+away and fa 10 cm away. How do we find the image? 
+
+347
+00:25:30,170 --> 00:25:34,210
+With the three equations or with the three data.
+
+348
+00:25:34,210 --> 00:25:37,650
+Any beam parallel to the optical system to the 
+
+349
+00:25:37,650 --> 00:25:42,970
+optical axis passes through FB. Ok. The second beam 
+
+350
+00:25:42,970 --> 00:25:47,050
+the second beam is supposed to pass through FA
+
+351
+00:25:47,050 --> 00:25:52,160
+like the drawing here. Like the yellow light is 
+
+352
+00:25:52,160 --> 00:25:56,620
+telling me. Yes, but F-A is behind me. F-A is
+
+353
+00:25:56,620 --> 00:25:59,320
+behind me. The light does not go back, it goes
+
+354
+00:25:59,320 --> 00:26:01,420
+back. The light is directed towards the lens. We
+
+355
+00:26:01,420 --> 00:26:04,260
+say correct, but now we want to make a simple
+
+356
+00:26:04,260 --> 00:26:07,100
+modification. We say that the beam that extends
+
+357
+00:26:07,100 --> 00:26:13,060
+through F-A will come out parallel to the optical
+
+358
+00:26:13,060 --> 00:26:16,100
+axis. Let's see how this case will happen with us.
+
+359
+00:26:16,700 --> 00:26:18,380
+This beam started from the point. 
+
+360
+00:26:23,650 --> 00:26:27,690
+It started from the same point, point A. The length 
+
+361
+00:26:27,690 --> 00:26:31,750
+of this ray... The length of this ray passes
+
+362
+00:26:31,750 --> 00:26:34,890
+through F A. How did you know that it passes 
+
+363
+00:26:34,890 --> 00:26:41,930
+through F A? It's still... it's still a little bit
+
+364
+00:26:41,930 --> 00:26:44,250
+So, the length of this... No, still.
+
+365
+00:26:47,040 --> 00:26:51,800
+في صعوبة بسيطة فى التحكم ايوة الان هذا الشعاع لو
+
+366
+00:26:51,800 --> 00:26:57,220
+انا جيت بالمصطره هجيه بمر بالظبط على فى ال F A
+
+367
+00:26:57,220 --> 00:27:03,200
+امتداده الخلفى بمر فى ال F A اى شعاع بتكون ال F A
+
+368
+00:27:03,200 --> 00:27:08,110
+ورا ورا للخلف منه. It is directed to the lens. If
+
+369
+00:27:08,110 --> 00:27:10,250
+its extension passes through the eye, it will come
+
+370
+00:27:10,250 --> 00:27:15,230
+out parallel to the optical axis.
+
+371
+00:27:15,690 --> 00:27:21,790
+So, this issue must be clear to us. So this issue 
+
+372
+00:27:21,790 --> 00:27:25,310
+is this point. The third ray is the Chifre. 
+
+373
+00:27:29,130 --> 00:27:34,020
+Which passes through the nodal point. هذا الشعاع لا
+
+374
+00:27:34,020 --> 00:27:38,340
+يغير طريقه أبدا إذا ملاحظين الشعاع الأول والتاني
+
+375
+00:27:38,340 --> 00:27:44,100
+والتالت Divergent Divergent إيش يعني Divergent
+
+376
+00:27:44,100 --> 00:27:48,840
+يعني متفرقين عن بعضهم البعض إذا مهما امتدوا على 
+
+377
+00:27:48,840 --> 00:27:53,160
+اليمين لن يؤدوا إلى تكوين صورة إذا الصورة خيالية
+
+378
+00:27:53,160 --> 00:27:57,760
+الصورة خيالية وهذا الكلام مثبت بالتجربة هذا الكلام
+
+379
+00:27:57,760 --> 00:28:02,870
+مثبت بالتجربة إذا إحنا الآن وصلنا لقاعدة that any
+
+380
+00:28:02,870 --> 00:28:06,890
+radiation or any body that falls within the
+
+381
+00:28:06,890 --> 00:28:12,240
+frontal lobe, closer to the lens than FA. The rays
+
+382
+00:28:12,240 --> 00:28:16,460
+will come out of it and enter the lens and will
+
+383
+00:28:16,460 --> 00:28:19,360
+also produce divergence. In other words, the power
+
+384
+00:28:19,360 --> 00:28:22,080
+of the lens will not be enough for the divergence
+
+385
+00:28:22,080 --> 00:28:25,480
+coming from this object. As long as the rays will
+
+386
+00:28:25,480 --> 00:28:27,700
+produce divergence, then the picture is imaginary.
+
+387
+00:28:27,700 --> 00:28:32,620
+The location of the picture will be as many as
+
+388
+00:28:32,620 --> 00:28:36,520
+these three rays that came out. As many as the 
+
+389
+00:28:36,520 --> 00:28:39,740
+three rays that came out, and this is necessary
+
+390
+00:28:39,740 --> 00:28:49,950
+for us. يعني... نحاول 
+
+391
+00:28:49,950 --> 00:28:56,990
+نثبته بالتجربة هذا الشعاع الموازي لل optical axis
+
+392
+00:28:56,990 --> 00:29:03,790
+لو مديناه للخلف و هذا الشعاع أيضا لو مديناه للخلف
+
+393
+00:29:03,790 --> 00:29:11,930
+نعمل كمان duplication لههدا شوية لو مدناها للخلف،
+
+394
+00:29:11,930 --> 00:29:17,630
+بس ضروري يكون على نفس التوازن،
+
+395
+00:29:17,630 --> 00:29:22,130
+لأ أنا بدنا نلغي هدا، ضروري يكون على نفس امتداد
+
+396
+00:29:22,130 --> 00:29:34,390
+الخط اللي خرج من، لأ تمام
+
+397
+00:29:52,480 --> 00:30:07,280
+because the password is supposed
+
+398
+00:30:07,280 --> 00:30:13,080
+to meet in one point and define the place of the
+
+399
+00:30:13,080 --> 00:30:18,580
+image. So here I have a rectangle like this, here
+
+400
+00:30:18,580 --> 00:30:19,300
+is the place of the image.
+
+401
+00:30:22,300 --> 00:30:25,780
+وهدا الصورة، هذا الشعاع اللي خرج من ال lens مديته
+
+402
+00:30:25,780 --> 00:30:30,900
+للخلف، و هذا ال chief rail اللي خرج من ال lens
+
+403
+00:30:30,900 --> 00:30:35,320
+مديته للخلف، نقطة التقائهم هنا هي ال image، هي ال
+
+404
+00:30:35,320 --> 00:30:38,620
+image اللي هي النقطة هذه الحمرة اللي احنا قاعدين،
+
+405
+00:30:38,620 --> 00:30:43,760
+يعني، هذه
+
+406
+00:30:43,760 --> 00:30:49,400
+هي النقطة الحمرة، اذا ال image. ال image هتكون يعني
+
+407
+00:30:49,400 --> 00:30:54,020
+على بعد معين من ال lens على بعد معين من ال lens و
+
+408
+00:30:54,020 --> 00:31:00,760
+بالتالي ممكن أجيسه و أعرف بالحسابات كدهش بتطلع
+
+409
+00:31:00,760 --> 00:31:01,220
+معاه
+
+410
+00:31:
+
+445
+00:33:39,430 --> 00:33:41,610
+it to the back, it will be as if it is starting
+
+446
+00:33:41,610 --> 00:33:44,350
+from A to E, it will come out parallel to the
+
+447
+00:33:44,350 --> 00:33:46,590
+optical axis, it will come out parallel to the
+
+448
+00:33:46,590 --> 00:33:50,510
+optical axis The second ray, we will give it
+
+449
+00:33:50,510 --> 00:33:53,450
+another color, it came parallel to the optical
+
+450
+00:33:53,450 --> 00:33:56,830
+axis, when it comes out of the lens
+
+451
+00:34:00,340 --> 00:34:07,820
+The third ray is the chief ray that enters the
+
+452
+00:34:07,820 --> 00:34:08,720
+nodal point
+
+453
+00:34:12,340 --> 00:34:16,780
+In the blue color, we find that it does not change
+
+454
+00:34:16,780 --> 00:34:19,820
+its way. If we look at these rays, this is the
+
+455
+00:34:19,820 --> 00:34:21,940
+back of the lens and this is the anterior part of
+
+456
+00:34:21,940 --> 00:34:23,880
+the lens. We will find that these rays are
+
+457
+00:34:23,880 --> 00:34:26,380
+divergent. Now, where is the picture? The picture
+
+458
+00:34:26,380 --> 00:34:29,780
+is on the extensions of these three rays to the
+
+459
+00:34:29,780 --> 00:34:35,300
+back, on their extensions to the back, so I get
+
+460
+00:34:40,910 --> 00:34:48,630
+بنمد هذا شعاع للخلف، وبنمد هذا شعاع للخلف، وبنمد
+
+461
+00:34:48,630 --> 00:34:52,990
+شعاع التالت للخلف، خليني بس أشر على شعاع التالت
+
+462
+00:34:59,250 --> 00:35:03,190
+they will meet at one point this point is the
+
+463
+00:35:03,190 --> 00:35:08,010
+image point of the point since divergent ray is
+
+464
+00:35:08,010 --> 00:35:12,290
+known as virtual image virtual image distance
+
+465
+00:35:12,290 --> 00:35:16,790
+which is the distance of the image from the lens
+
+466
+00:35:16,790 --> 00:35:19,970
+to the object distance gives me a transfer of
+
+467
+00:35:19,970 --> 00:35:22,890
+magnification gives me a transfer of magnification
+
+468
+00:35:22,890 --> 00:35:25,750
+and this shape now when it becomes colored becomes
+
+469
+00:35:25,750 --> 00:35:26,530
+clearer
+
+470
+00:35:29,990 --> 00:35:32,530
+by the lens makers equation or the thin lens
+
+471
+00:35:32,530 --> 00:35:35,990
+equation divergence of light exiting the lens is
+
+472
+00:35:35,990 --> 00:35:39,930
+minus 10 diopter why minus 10 diopter because the
+
+473
+00:35:39,930 --> 00:35:44,110
+light will reach minus 20 diopter because the
+
+474
+00:35:44,110 --> 00:35:47,330
+object is at a distance of 5 cm if we calculate it
+
+475
+00:35:47,330 --> 00:35:54,870
+at a distance of 5 cm how much is U? U is equal to
+
+476
+00:35:54,870 --> 00:35:56,090
+negative N over O
+
+477
+00:35:59,680 --> 00:36:05,000
+and it's negative because it's divergent from the
+
+478
+00:36:05,000 --> 00:36:07,640
+object because it's a real object over 5 cm which
+
+479
+00:36:07,640 --> 00:36:13,780
+is 5 out of 100 meters and
+
+480
+00:36:13,780 --> 00:36:19,320
+it's equal to minus 20 diopters as long as u is
+
+481
+00:36:19,320 --> 00:36:25,320
+minus 20 diopters العدسة هتبغي كل قوتها هتلغي عشرة
+
+482
+00:36:25,320 --> 00:36:29,940
+من العشرين و هيضل تشتت بمقدار عشرة ديوبتر، إذا
+
+483
+00:36:29,940 --> 00:36:32,800
+الصورة هتتكون على بعد عشرة أقصان، نروح لل
+
+484
+00:36:32,800 --> 00:36:37,440
+simulation، هاي الصورة اتكونت هنا، في المنطقة هاي
+
+485
+00:36:37,440 --> 00:36:39,980
+طبعا، نروح نرفع ال roller لفوق
+
+486
+00:36:45,710 --> 00:36:48,490
+So the image from 100 to 200 mm is at a distance
+
+487
+00:36:48,490 --> 00:36:51,710
+of 10 cm. This distance is 100 mm. 100 mm means 10
+
+488
+00:36:51,710 --> 00:36:56,690
+cm. The object is
+
+489
+00:36:56,690 --> 00:37:01,730
+the object point here at a distance of 5 cm. The
+
+490
+00:37:01,730 --> 00:37:04,090
+rule that we want to reach is that any object
+
+491
+00:37:04,090 --> 00:37:10,620
+inside the anterior focusAny object inside the
+
+492
+00:37:10,620 --> 00:37:14,560
+anterior focus whether here, or here, or here, or
+
+493
+00:37:14,560 --> 00:37:19,480
+here, or here, or here, or here, or here, or here,
+
+494
+00:37:19,580 --> 00:37:20,600
+or here, or here, or here, or here, or here, or
+
+495
+00:37:20,600 --> 00:37:20,900
+here, or here, or here, or here, or here, or here,
+
+496
+00:37:20,900 --> 00:37:20,980
+or here, or here, or here, or here, or here, or
+
+497
+00:37:20,980 --> 00:37:21,600
+here, or here, or here, or here, or here, or here,
+
+498
+00:37:21,600 --> 00:37:24,040
+or here, or here, or here, or here, or here, or
+
+499
+00:37:24,040 --> 00:37:24,320
+here, or here, or here, or here, or here, or here,
+
+500
+00:37:24,320 --> 00:37:26,440
+or here, or here, or here, or here, or here, or
+
+501
+00:37:26,440 --> 00:37:34,980
+here, or here, or here, or
+
+502
+00:37:34,980 --> 00:37:36,300
+here
+
+503
+00:37:39,800 --> 00:37:50,620
+if the object image
+
+504
+00:37:50,620 --> 00:38:00,980
+if the object is inside F A ايش الصفات بتاعة ال
+
+505
+00:38:00,980 --> 00:38:08,460
+image؟ واحد، virtual اتنين
+
+506
+00:38:11,780 --> 00:38:22,560
+erect يعني معتدلة تلاتة magnified يعني virtual مش
+
+507
+00:38:22,560 --> 00:38:26,620
+حقيقية erect معتدلة زيها زي ال object مش مجلوبة
+
+508
+00:38:26,620 --> 00:38:31,540
+magnified مكبرة مستحيل تكون جده ولا أصغر منه دائما
+
+509
+00:38:31,540 --> 00:38:39,240
+مكبرة و هذه الوضعيةهذه الوضعية هي فكرة عمل ال
+
+510
+00:38:39,240 --> 00:38:43,180
+magnifiers المكبرات، العدسات المكبرة اللي ممكن
+
+511
+00:38:43,180 --> 00:38:47,520
+احنا نصادفها في الأسواق أو في محلات البصريات أو ال
+
+512
+00:38:47,520 --> 00:38:49,880
+hand-held magnifier، ال magnifier اللي بنمسك
+
+513
+00:38:49,880 --> 00:38:57,260
+بالإيد فكرة عمله، فكرة عمله، قريبا بس نأخد صورة
+
+514
+00:38:57,260 --> 00:39:04,280
+عشان اللي مش متذكر هو hand-held magnifier
+
+515
+00:39:08,090 --> 00:39:10,590
+This is the handheld magnifier with its different
+
+516
+00:39:10,590 --> 00:39:13,170
+types. The idea behind it is to place the object
+
+517
+00:39:13,170 --> 00:39:19,430
+inside the f-a of this lens Inside the f-a of the
+
+518
+00:39:19,430 --> 00:39:23,770
+lens, so the object will have a picture enlarged,
+
+519
+00:39:24,010 --> 00:39:28,970
+virtual correct, but enlarged and slanted enlarged
+
+520
+00:39:28,970 --> 00:39:33,530
+and slanted, that's why if I hold any lens from
+
+521
+00:39:33,530 --> 00:39:37,950
+the lens bag وحسبت يعني قرأت قوتها مثلا plus 5 plus
+
+522
+00:39:37,950 --> 00:39:42,470
+7 plus 12 وحسبت جديش البعد البقري الأمامي إلها
+
+523
+00:39:42,470 --> 00:39:47,750
+وبعدين أمسكت أي object وخليته داخل البعد الأمامي
+
+524
+00:39:47,750 --> 00:39:50,310
+لهذه العدسة ونظرت من الناحية التانية هلاقي هذا ال
+
+525
+00:39:50,310 --> 00:39:53,690
+object مكبر I will find this object magnified or in
+
+526
+00:39:53,690 --> 00:39:58,450
+other words, I took a plus 12 or plus 7 or plus 5
+
+527
+00:39:58,450 --> 00:40:01,290
+lens and looked into it and found it magnified, I
+
+528
+00:40:01,290 --> 00:40:03,870
+must know that this object which I found magnified
+
+529
+00:40:03,870 --> 00:40:08,390
+means .. means that this object is located inside
+
+530
+00:40:08,390 --> 00:40:13,430
+the FAA means located inside the FAA Okay, now I
+
+531
+00:40:13,430 --> 00:40:19,240
+have one last scenario What if ..It was the object
+
+532
+00:40:19,240 --> 00:40:23,020
+not farther than the FA and not closer than the
+
+533
+00:40:23,020 --> 00:40:27,060
+FA, it came exactly to the FA, it came exactly to
+
+534
+00:40:27,060 --> 00:40:30,500
+the FA Either you see what's going to happen or
+
+535
+00:40:30,500 --> 00:40:32,400
+what's the scenario that's going to happen, we'll
+
+536
+00:40:32,400 --> 00:40:33,220
+continue and say
+
+537
+00:40:36,650 --> 00:40:39,910
+طبعا this is the basis اللي شرحناه قبل شوية لما
+
+538
+00:40:39,910 --> 00:40:43,970
+يكون inside the FA this is the basis او ال optical
+
+539
+00:40:43,970 --> 00:40:48,510
+basis of simple handheld plus lens magnifier اللي
+
+540
+00:40:48,510 --> 00:40:53,950
+شوفنا صورته قبل شوية an object positioned inside
+
+541
+00:40:53,950 --> 00:40:57,110
+the focal point of a plus spherical lens will
+
+542
+00:40:57,110 --> 00:41:01,850
+produce magnified هي واحد upright يعني erect
+
+543
+00:41:01,850 --> 00:41:08,830
+virtual تلاتة image صورة مكبرةواجفة مش مش مجلوبة و
+
+544
+00:41:08,830 --> 00:41:12,950
+virtual غير حقيقية هذه القضية ممكن احنا نحاولها
+
+545
+00:41:12,950 --> 00:41:16,610
+هذه ال experiment with lens you use for indirect
+
+546
+00:41:16,610 --> 00:41:19,110
+ophthalmoscope احنا ال indirect ophthalmoscope
+
+547
+00:41:19,110 --> 00:41:27,050
+بنستعمل معه عدسات اللي بنفحص فيه طبعا قاع العين
+
+548
+00:41:27,050 --> 00:41:31,790
+indirect ophthalmoscope
+
+549
+00:41:40,670 --> 00:41:44,850
+Let's see its picture Of course, we use with it
+
+550
+00:41:44,850 --> 00:41:50,210
+this lens which can be plus 20 or plus 30 or plus
+
+551
+00:41:50,210 --> 00:41:54,490
+28 meaning spherical lens So here, it's the same
+
+552
+00:41:54,490 --> 00:41:58,870
+thing This is the examiner holding the plus lens
+
+553
+00:41:58,870 --> 00:42:02,570
+and looking at the bottom of the screen Okay, now
+
+554
+00:42:02,570 --> 00:42:06,290
+We
+
+555
+00:42:06,290 --> 00:42:10,570
+can try this with this lensWe have a third
+
+556
+00:42:10,570 --> 00:42:12,830
+scenario, we will not explain it but we will say
+
+557
+00:42:12,830 --> 00:42:19,270
+it If the object is not inside FA nor outside FA,
+
+558
+00:42:19,430 --> 00:42:24,250
+it is exactly on the FA It will also be virtual,
+
+559
+00:42:24,650 --> 00:42:28,210
+erect, magnified exactly as if it is inside the FA
+
+560
+00:42:28,210 --> 00:42:33,150
+But the magnification is the maximum magnification
+
+561
+00:42:33,150 --> 00:42:36,250
+It is the maximum magnification in another sense
+
+562
+00:42:37,370 --> 00:42:41,430
+لما بيكون ال object على fa أو جواتها بيعطيني
+
+563
+00:42:41,430 --> 00:42:44,970
+virtual, erect magnification بس ال maximum
+
+564
+00:42:44,970 --> 00:42:48,150
+magnification يعني العدسة هاي بتعطيني أكبر
+
+565
+00:42:48,150 --> 00:42:51,550
+magnification لما يكون ال object موجود بالضبط على
+
+566
+00:42:51,550 --> 00:42:56,190
+البقرة الأمامية طيب لو كان ال object برا بنرجع
+
+567
+00:42:56,190 --> 00:43:03,980
+للمثال الأول لو كان ال object برا fa هنا جوا faلو
+
+568
+00:43:03,980 --> 00:43:07,440
+كان هاي FA و هاي ال object أبعد منها، أبعد عن
+
+569
+00:43:07,440 --> 00:43:11,260
+العدسة منها، هتكون الصورة دائما حقيقية و ال .. و
+
+570
+00:43:11,260 --> 00:43:14,800
+ال size بتاعها حسب وين موجود ال object هل هو بعيد
+
+571
+00:43:14,800 --> 00:43:19,720
+كتير ولا بعيد ولا يعني بعيد بس أق .. يعني جريب من
+
+572
+00:43:19,720 --> 00:43:26,060
+FA و هكذاهيك بتنتهي المحاضرة تاتي اليوم ووصلنا
+
+573
+00:43:26,060 --> 00:43:31,280
+بعدها لأول مرة هنصل لتعامل مع ال concave lenses
+
+574
+00:43:31,280 --> 00:43:35,220
+ويعطيكم العافية والسلام عليكم ورحمة الله وبركاته
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/_gaLIGfFKl4_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/_gaLIGfFKl4_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f32ce1afbfdab2caea7bd2b150d5a9ee95108992
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/_gaLIGfFKl4_postprocess.srt
@@ -0,0 +1,2296 @@
+1
+00:00:01,480 --> 00:00:04,240
+بسم الله الرحمن الرحيم، بنواصل مع محاضرات الـ
+
+2
+00:00:04,240 --> 00:00:08,180
+Geometric Optics، ووصلنا لموضوع الـ Paraxial Ray
+
+3
+00:00:08,180 --> 00:00:11,440
+Tracing Through Convex Spherical Lenses، هذه
+
+4
+00:00:11,440 --> 00:00:15,180
+المحاضرة حقيقة تعتمد على المحاضرة السابقة، و اللي
+
+5
+00:00:15,180 --> 00:00:19,260
+بنذكر في بعض المعلومات اللي وردت فيها، بنقول أي
+
+6
+00:00:19,260 --> 00:00:24,440
+أشعة موازيةto the optical axis any rays parallel
+
+7
+00:00:24,440 --> 00:00:28,600
+to the optical axis will meet in the Fp in the
+
+8
+00:00:28,600 --> 00:00:31,200
+posterior focal point we don't want all the rays,
+
+9
+00:00:31,520 --> 00:00:34,400
+we want only one ray, that is, any ray any ray
+
+10
+00:00:34,400 --> 00:00:37,620
+that is parallel to the optical axis after leaving
+
+11
+00:00:37,620 --> 00:00:42,000
+the lens passes in the Fp in the posterior focal
+
+12
+00:00:42,000 --> 00:00:46,540
+point another information, any ray any ray that
+
+13
+00:00:46,540 --> 00:00:53,080
+passes through the Faمر في الـ F-A يعتبر كأنه صادر
+
+14
+00:00:53,080 --> 00:00:55,620
+من الـ F-A من الـ anterior focus و بالتالي لما
+
+15
+00:00:55,620 --> 00:00:59,660
+بيخرج من ال lens بيخرج موازي لل lens هاي عندي كمان
+
+16
+00:00:59,660 --> 00:01:04,600
+شعاع مر في ال F-A و هو ذاهب إلى ال lens لما خرج
+
+17
+00:01:04,600 --> 00:01:09,270
+خرج موازي لل optical axis موازي لل optical axisThe
+
+18
+00:01:09,270 --> 00:01:11,810
+third thing we need to remember is that any ray
+
+19
+00:01:11,810 --> 00:01:14,190
+that passes through the nodal point remains
+
+20
+00:01:14,190 --> 00:01:18,010
+undeviated. Undeviated means that it does not
+
+21
+00:01:18,010 --> 00:01:21,130
+change its path at all because it passed through
+
+22
+00:01:21,130 --> 00:01:22,890
+the nodal point. Because it passed through the
+
+23
+00:01:22,890 --> 00:01:25,890
+nodal point. These are the things we need to
+
+24
+00:01:25,890 --> 00:01:29,800
+remember before we startin our lecture, which is
+
+25
+00:01:29,800 --> 00:01:32,860
+Paraxial Ray Tracing Through Convex Spherical
+
+26
+00:01:32,860 --> 00:01:38,660
+Lenses We want to trace the paraxial ray during
+
+27
+00:01:38,660 --> 00:01:43,320
+its passage through a convex spherical lens and
+
+28
+00:01:43,320 --> 00:01:50,040
+see that we can use two or three rays to reach the
+
+29
+00:01:50,040 --> 00:01:51,960
+location of the image without any calculations,
+
+30
+00:01:52,180 --> 00:01:57,540
+but only by drawingfrom any object point, three
+
+31
+00:01:57,540 --> 00:02:00,320
+simple, يعني لو اختارنا object point، ال object في
+
+32
+00:02:00,320 --> 00:02:05,080
+multiple points، بس احنا هنختار point معينة، نفرض
+
+33
+00:02:05,080 --> 00:02:09,300
+انها point A، نسميها النقطة A، three simple rays
+
+34
+00:02:09,300 --> 00:02:12,380
+are drawn through a thin lens to locate a
+
+35
+00:02:12,380 --> 00:02:15,260
+corresponding point in the image، يعني اذا اختارنا
+
+36
+00:02:15,260 --> 00:02:19,570
+النقطة A،Its image will be a condition. So if you
+
+37
+00:02:19,570 --> 00:02:21,930
+see a condition, where will it fall in space?
+
+38
+00:02:22,110 --> 00:02:24,790
+Where is its location in space? By using three
+
+39
+00:02:24,790 --> 00:02:29,710
+rays, three lines or three rays, three light rays
+
+40
+00:02:29,710 --> 00:02:32,810
+coming from the object point that we chose, which
+
+41
+00:02:32,810 --> 00:02:37,250
+is a, we can determine the location of a
+
+42
+00:02:37,250 --> 00:02:40,950
+condition, which is the image of a, the image of a
+
+43
+00:02:41,250 --> 00:02:44,710
+وحقيقة احنا مش محتاجين three rays وانما محتاجين
+
+44
+00:02:44,710 --> 00:02:47,870
+only two rays are actually needed زي ما هنشوف بعد
+
+45
+00:02:47,870 --> 00:02:51,410
+قليل، the same rays are used to find the
+
+46
+00:02:51,410 --> 00:02:55,630
+corresponding points if a thick lens or multiple
+
+47
+00:02:55,630 --> 00:02:58,910
+multi-element lens system is modeled by first
+
+48
+00:02:58,910 --> 00:03:02,540
+order optical principlesSo these words that we are
+
+49
+00:03:02,540 --> 00:03:03,660
+going to talk about, we are going to talk about
+
+50
+00:03:03,660 --> 00:03:07,880
+thin lenses, right convex lens, spherical lens,
+
+51
+00:03:08,280 --> 00:03:11,240
+but they are thin lenses. So, is it okay to use
+
+52
+00:03:11,240 --> 00:03:17,860
+retracing or drawing if I have a thick lens?If I
+
+53
+00:03:17,860 --> 00:03:47,580
+have a thick lens, yes I can use it
+
+54
+00:03:50,700 --> 00:03:59,300
+The first two rays traverse F-A and F-B The
+
+55
+00:03:59,300 --> 00:04:03,160
+final ray, known as the central ray or chief ray,
+
+56
+00:04:03,680 --> 00:04:04,920
+traverses the nodal point
+
+57
+00:04:24,560 --> 00:04:29,180
+For a thin lens immersed in a medium with a
+
+58
+00:04:29,180 --> 00:04:32,220
+uniform refractive index, the nodal points
+
+59
+00:04:32,220 --> 00:04:32,840
+overlap.
+
+60
+00:04:43,160 --> 00:04:46,320
+يعني هنا هوا و هنا هوا أو هنا مية و هنا مية
+
+61
+00:04:46,320 --> 00:04:49,300
+بيسموها uniform medium مادة متجانسة يعني مرموزة
+
+62
+00:04:49,300 --> 00:04:53,020
+فيه مادة متجانسة ال nodal points ال anterior و ال
+
+63
+00:04:53,020 --> 00:04:56,680
+posterior overlap يعني بيعتبروا نقطة واحدة يعني
+
+64
+00:04:56,680 --> 00:05:00,420
+جايين على بعضهم البعض هذا الكلام ضروري جدا احنا
+
+65
+00:05:00,420 --> 00:05:04,440
+نتذكره اذا for a thin lens immersed in a uniform
+
+66
+00:05:04,440 --> 00:05:08,600
+optical medium such as air or water
+
+67
+00:05:16,840 --> 00:05:20,160
+For a thin lens emits in a medium with a uniform
+
+68
+00:05:20,160 --> 00:05:23,900
+refractive index, the nodal points overlap at the
+
+69
+00:05:23,900 --> 00:05:27,840
+optical center of the lens. The central ray, or
+
+70
+00:05:27,840 --> 00:05:32,180
+the chief ray, هو الشعع اللي بيعدي في ال nodal
+
+71
+00:05:32,180 --> 00:05:35,300
+point. It traverses the nodal points undeviated
+
+72
+00:05:35,300 --> 00:05:39,040
+يعني مابيصيرلوش انكسار بالمرةthat is it does not
+
+73
+00:05:39,040 --> 00:05:46,000
+change direction with respect to the optical axis
+
+74
+00:05:46,000 --> 00:05:49,660
+it is
+
+75
+00:05:49,660 --> 00:05:55,860
+customary to represent object as arrows to
+
+76
+00:05:55,860 --> 00:05:57,500
+show size and orientation
+
+77
+00:06:08,760 --> 00:06:12,660
+The tip of an arrow represents a single object
+
+78
+00:06:12,660 --> 00:06:13,040
+point
+
+79
+00:06:23,710 --> 00:06:29,130
+assume an object is placed 20 cm in front of plus
+
+80
+00:06:29,130 --> 00:06:31,730
+10 diopter lens immersed in air
+
+81
+00:06:35,590 --> 00:06:39,390
+object, we represented it with an arrow, the tip
+
+82
+00:06:39,390 --> 00:06:42,610
+of the arrow is the point A, we took it as an
+
+83
+00:06:42,610 --> 00:06:44,690
+example on the points of the object, that is, it
+
+84
+00:06:44,690 --> 00:06:46,970
+will represent the points of the object, we said
+
+85
+00:06:46,970 --> 00:06:50,230
+that A is a point in the object, A condition is
+
+86
+00:06:50,230 --> 00:06:53,310
+the image of A. Well, let's see what happens to A
+
+87
+00:06:53,310 --> 00:06:56,270
+condition in space. Without using any
+
+88
+00:06:56,270 --> 00:06:59,570
+calculations, without using any calculations, I
+
+89
+00:06:59,570 --> 00:07:02,330
+need to draw three rays. The first ray is equal to
+
+90
+00:07:02,330 --> 00:07:05,330
+the optical axis.From the previous lecture, we
+
+91
+00:07:05,330 --> 00:07:08,310
+know that any beam parallel to the optical axis,
+
+92
+00:07:08,470 --> 00:07:11,870
+without calculations, will enter the posterior
+
+93
+00:07:11,870 --> 00:07:16,990
+focus, which is the tail of this lens. As long as
+
+94
+00:07:16,990 --> 00:07:19,870
+it enters the posterior focus, and I define where
+
+95
+00:07:19,870 --> 00:07:22,890
+the posterior focus is, I draw a line that enters
+
+96
+00:07:22,890 --> 00:07:25,130
+the posterior focus, and I extend it to infinity,
+
+97
+00:07:25,690 --> 00:07:28,970
+to the plus optical infinity. Okay, second thing,
+
+98
+00:07:29,550 --> 00:07:34,020
+the beam number twoThe second ray of light Let's
+
+99
+00:07:34,020 --> 00:07:40,180
+color the rays so that it becomes clear in the
+
+100
+00:07:40,180 --> 00:07:44,860
+vision This is the first ray in red And we
+
+101
+00:07:44,860 --> 00:07:49,200
+continue with the red color to make it clear So
+
+102
+00:07:49,200 --> 00:07:52,840
+the ray parallel to the optical axis Entered the
+
+103
+00:07:52,840 --> 00:07:56,900
+posterior focus of the lens Which is plus ten
+
+104
+00:07:56,900 --> 00:08:02,650
+dioders Okay, the second rayمر هو رايح على العدسة
+
+105
+00:08:02,650 --> 00:08:06,650
+و ذهب إلى العدسة صادف مروره بال .. بال fa بال
+
+106
+00:08:06,650 --> 00:08:11,370
+anterior focus هذا معروف أنه من المحاضرة السابقة
+
+107
+00:08:11,370 --> 00:08:15,750
+أنه أي شعاع بيمر بال anterior focal point كأنه
+
+108
+00:08:15,750 --> 00:08:19,570
+صادر منها بالضبط كأنه صادر منها مافي اختلاف بتاتا
+
+109
+00:08:19,570 --> 00:08:24,110
+سواء مر فيها مرور أو صادر منها بالفعلIt's like
+
+110
+00:08:24,110 --> 00:08:27,050
+it's coming out of it, so its fate is to come out
+
+111
+00:08:27,050 --> 00:08:31,330
+of the lens parallel to the optical axis, as the
+
+112
+00:08:31,330 --> 00:08:34,930
+picture shows. The point of contact between the
+
+113
+00:08:34,930 --> 00:08:37,350
+two rays determines the location of a condition in
+
+114
+00:08:37,350 --> 00:08:41,490
+space. From this point, I draw or lower a column.
+
+115
+00:08:41,750 --> 00:08:45,050
+I lower a column on the optical axis. This is the
+
+116
+00:08:45,050 --> 00:08:47,270
+height of the image. This is the height of the
+
+117
+00:08:47,270 --> 00:08:49,970
+image. If you notice, until now, we have not used
+
+118
+00:08:51,380 --> 00:08:54,900
+Any kind of calculations, but it's necessary if we
+
+119
+00:08:54,900 --> 00:08:59,000
+choose a lens with a certain power, we find FA and
+
+120
+00:08:59,000 --> 00:09:03,540
+FB and we put FA and FB in their correct place in
+
+121
+00:09:03,540 --> 00:09:09,220
+relation to the sourceالان احنا باستعمال شعاعين
+
+122
+00:09:09,220 --> 00:09:13,700
+اقدرنا نصل لهدي الغاية الشعاع التالت هو شعاع
+
+123
+00:09:13,700 --> 00:09:18,680
+للتأكيد فقط بيسموه ال Central Ray اللي هو مرسوم
+
+124
+00:09:18,680 --> 00:09:23,220
+باللون الأبيض ال Central Ray طبعا زي ما هو عارفين
+
+125
+00:09:23,220 --> 00:09:26,540
+زي ما احنا عارفين انه Central Ray بصدر من A و
+
+126
+00:09:26,540 --> 00:09:29,920
+بصادف دخوله في ال nodal point اذا مش هيغير طريقه
+
+127
+00:09:29,920 --> 00:09:34,460
+ضروري بعد ما انا رسمت الشعاع الأول والتانيThe
+
+128
+00:09:34,460 --> 00:09:37,900
+parallel who went in the posterior focus or in the
+
+129
+00:09:37,900 --> 00:09:41,160
+FB and who passed in the FA and came out parallel
+
+130
+00:09:41,160 --> 00:09:43,920
+and met at a point It is very important if the
+
+131
+00:09:43,920 --> 00:09:45,800
+drawing is correct, if the drawing is correct,
+
+132
+00:09:45,900 --> 00:09:48,180
+there is no mistake That when he passes through
+
+133
+00:09:48,180 --> 00:09:51,380
+the central ray, he must meet them at the meeting
+
+134
+00:09:51,380 --> 00:09:54,800
+point That is, he should not be off the meeting
+
+135
+00:09:54,800 --> 00:09:57,600
+point, he must be directed towards the meeting
+
+136
+00:09:57,600 --> 00:10:00,620
+point as the drawing indicatesSometimes here, I'm
+
+137
+00:10:00,620 --> 00:10:03,720
+confirming that this is really the meeting point,
+
+138
+00:10:03,880 --> 00:10:06,080
+and what is the condition here in the gap? I mean,
+
+139
+00:10:06,140 --> 00:10:07,780
+what is the condition of what picture is happening
+
+140
+00:10:07,780 --> 00:10:10,180
+here in the gap? And according to the drawing that
+
+141
+00:10:10,180 --> 00:10:11,980
+shows me, it tells me that the picture is upside
+
+142
+00:10:11,980 --> 00:10:16,810
+down. Now, I keep seeingto transfer magnification
+
+143
+00:10:16,810 --> 00:10:18,630
+either I measure the height of the image and I
+
+144
+00:10:18,630 --> 00:10:21,090
+divide it by the height of the object or I measure
+
+145
+00:10:21,090 --> 00:10:23,150
+the distance of the image and I divide it by the
+
+146
+00:10:23,150 --> 00:10:24,870
+distance of the object and that's how you solve
+
+147
+00:10:24,870 --> 00:10:28,610
+the problem without any calculations in terms of
+
+148
+00:10:28,610 --> 00:10:31,230
+versions or anything similar in terms of versions
+
+149
+00:10:31,230 --> 00:10:33,230
+or anything similar but as we said at the
+
+150
+00:10:33,230 --> 00:10:35,610
+beginning it is very important that wemeans to
+
+151
+00:10:35,610 --> 00:10:39,890
+make sure of the distance between FA and FB from
+
+152
+00:10:39,890 --> 00:10:42,190
+this case let's try to see what the simulation
+
+153
+00:10:42,190 --> 00:10:46,970
+will give us today we want to take the grid and we
+
+154
+00:10:46,970 --> 00:10:51,770
+want to say that I have a single ray I want to
+
+155
+00:10:51,770 --> 00:10:53,230
+consider that this is not a ray, I want to
+
+156
+00:10:53,230 --> 00:10:58,070
+consider it a line representing
+
+157
+00:10:58,070 --> 00:11:00,790
+the optical axis because we don't have lines here
+
+158
+00:11:00,790 --> 00:11:01,970
+now
+
+159
+00:11:06,170 --> 00:11:12,790
+I want to use an ideal
+
+160
+00:11:12,790 --> 00:11:19,190
+lens plus 10 megapixels let's make it bigger
+
+161
+00:11:29,360 --> 00:11:33,940
+this is my optical axis and this is my lens okay
+
+162
+00:11:33,940 --> 00:11:37,260
+now I want to draw a parallel beam to the optical
+
+163
+00:11:37,260 --> 00:11:42,040
+axis and we see this beam of course just make sure
+
+164
+00:11:42,040 --> 00:11:46,980
+that the lens is 10 diopter the focal length is
+
+165
+00:11:46,980 --> 00:11:51,920
+100 mm which is 10 cm which is the focal length of
+
+166
+00:11:51,920 --> 00:11:58,170
+the plus 10 diopter lens now I want to take a rayI
+
+167
+00:11:58,170 --> 00:12:04,970
+will make it parallel to the optical axis I will
+
+168
+00:12:04,970 --> 00:12:09,970
+make it parallel to the optical axis This
+
+169
+00:12:09,970 --> 00:12:14,730
+ray will enter exactly in the FB Okay, we want to
+
+170
+00:12:14,730 --> 00:12:19,310
+make sure of this, we say where is the ruler? Here
+
+171
+00:12:19,310 --> 00:12:19,670
+is the ruler
+
+172
+00:12:26,780 --> 00:12:32,080
+we need to move the ruler distance
+
+173
+00:12:32,080 --> 00:12:38,560
+from the lens to this point where this beam cut
+
+174
+00:12:38,560 --> 00:12:41,380
+was parallel to the optical axis entered the lens
+
+175
+00:12:41,380 --> 00:12:44,620
+and cut it 100mm which means 10cm so the posterior
+
+176
+00:12:44,620 --> 00:12:49,440
+focus really goes away 10cm as this drawing says
+
+177
+00:12:55,020 --> 00:12:57,620
+Posterior focal point is 10 cm away from the point
+
+178
+00:12:57,620 --> 00:12:59,160
+of reference. Why? Because if we multiply the
+
+179
+00:12:59,160 --> 00:13:02,320
+refractive index 1 by 10 diopters, we get 1 from
+
+180
+00:13:02,320 --> 00:13:06,420
+10 meters, which is 10 cm. So here, when I had a
+
+181
+00:13:06,420 --> 00:13:09,000
+parallel beam, what is this point? What is this
+
+182
+00:13:09,000 --> 00:13:13,580
+point? Okay, now I want to cancel the ruler.
+
+183
+00:13:18,000 --> 00:13:20,840
+And I want to take another beam to pass through F
+
+184
+00:13:20,840 --> 00:13:26,800
+A. which is let's put the ruler on the other side
+
+185
+00:13:26,800 --> 00:13:38,280
+so
+
+186
+00:13:38,280 --> 00:13:43,600
+this point is 10 cm away so this point is FA now I
+
+187
+00:13:43,600 --> 00:13:46,380
+want to pass a ray through this point we will see
+
+188
+00:13:46,380 --> 00:13:51,920
+how it will come out parallel to the optical axis
+
+189
+00:13:56,290 --> 00:13:58,510
+No, we don't want to move this ray, this is
+
+190
+00:13:58,510 --> 00:14:01,510
+basically equal, it will enter the FB Now I want
+
+191
+00:14:01,510 --> 00:14:14,210
+another ray Duplicate Here
+
+192
+00:14:14,210 --> 00:14:20,550
+we inserted it in the point Now
+
+193
+00:14:20,550 --> 00:14:24,990
+exactly, it entered in this pointwhich is the FA
+
+194
+00:14:24,990 --> 00:14:33,370
+of the system, of the lens, if you notice this is
+
+195
+00:14:33,370 --> 00:14:36,410
+how it comes out parallel to the optical axis
+
+196
+00:14:36,410 --> 00:14:40,070
+whoever enters FA comes out parallel and whoever
+
+197
+00:14:40,070 --> 00:14:43,530
+comes out parallel enters FB their meeting here is
+
+198
+00:14:43,530 --> 00:14:46,370
+the image here is the imagethis is the height of
+
+199
+00:14:46,370 --> 00:14:49,170
+the image and this is the height of the object
+
+200
+00:14:49,170 --> 00:14:50,910
+this is the height of the image and this is the
+
+201
+00:14:50,910 --> 00:14:55,410
+height of the object therefore, we can be sure of
+
+202
+00:14:55,410 --> 00:14:59,290
+this case we can be sure of heights and distances
+
+203
+00:14:59,290 --> 00:15:02,690
+heights and distances now it is necessary when I
+
+204
+00:15:02,690 --> 00:15:07,130
+pass ..
+
+205
+00:15:07,130 --> 00:15:12,790
+it is necessary when I pass the chief ray, the
+
+206
+00:15:12,790 --> 00:15:14,610
+central ray that ..
+
+207
+00:15:19,820 --> 00:15:22,360
+First of all, it does not change its path, you see
+
+208
+00:15:22,360 --> 00:15:25,020
+it is a straight line, and at the same time it
+
+209
+00:15:25,020 --> 00:15:29,680
+passes through the intersection point of the first
+
+210
+00:15:29,680 --> 00:15:33,400
+and second rays. This is the way of ray tracing.
+
+211
+00:15:33,840 --> 00:15:35,540
+Of course, we did not draw the arrow, it is
+
+212
+00:15:35,540 --> 00:15:38,320
+supposed to be drawn, and here we did not draw the
+
+213
+00:15:38,320 --> 00:15:40,160
+arrow to see the height of the image and the
+
+214
+00:15:40,160 --> 00:15:42,870
+heightThe object, the height of the image and the
+
+215
+00:15:42,870 --> 00:15:45,530
+height of the object, but this is the way that I
+
+216
+00:15:45,530 --> 00:15:49,250
+can determine the location of the image in space
+
+217
+00:15:49,250 --> 00:15:51,050
+by means of it I use two rays and the third is
+
+218
+00:15:51,050 --> 00:15:54,090
+just to make sure and the third is just to make
+
+219
+00:15:54,090 --> 00:15:58,580
+sure, let's continue this talkA ray is drawn from
+
+220
+00:15:58,580 --> 00:16:01,800
+the tip of the object through F-A, this ray
+
+221
+00:16:01,800 --> 00:16:04,940
+emerges from the lens parallel to the optical axis
+
+222
+00:16:04,940 --> 00:16:07,980
+and heads off to plus optical infinity
+
+223
+00:16:24,840 --> 00:16:30,800
+The second ray is a drone that parallels the
+
+224
+00:16:30,800 --> 00:16:35,460
+optical axis until it enters the lens, it emerges
+
+225
+00:16:35,460 --> 00:16:40,120
+from the lens and passes through FB on its way to
+
+226
+00:16:40,120 --> 00:16:43,560
+plus infinityThe intersection of these two rays
+
+227
+00:16:43,560 --> 00:16:46,520
+defines the corresponding image point. Let's look
+
+228
+00:16:46,520 --> 00:16:48,740
+at this. We say that the secondary is drawn
+
+229
+00:16:48,740 --> 00:16:52,080
+parallel to the optical axis after it leaves the
+
+230
+00:16:52,080 --> 00:16:54,460
+lens and passes through FB and remains going
+
+231
+00:16:54,460 --> 00:16:56,980
+towards the plus optical infinity. The plus
+
+232
+00:16:56,980 --> 00:16:59,040
+optical infinity is not only the one towards the
+
+233
+00:16:59,040 --> 00:17:01,940
+optical axis. Whatever is on the right of the lens
+
+234
+00:17:01,940 --> 00:17:04,540
+extends to its final destination, this is the plus
+
+235
+00:17:04,540 --> 00:17:07,340
+optical infinity. The intersection of the first
+
+236
+00:17:07,340 --> 00:17:10,400
+ray with the second ray determines the image
+
+237
+00:17:10,400 --> 00:17:14,690
+point.هذه هي ال intersection، إذاً هذه هي ال image
+
+238
+00:17:14,690 --> 00:17:19,370
+point، إذاً a second ray، قلنا the intersection of
+
+239
+00:17:19,370 --> 00:17:22,910
+these two rays defines the corresponding image
+
+240
+00:17:22,910 --> 00:17:26,230
+point Note that the image in this example is
+
+241
+00:17:26,230 --> 00:17:29,690
+inverted، نفس ما طلع معانا بالرسم inverted، يعني
+
+242
+00:17:29,690 --> 00:17:32,950
+below the optical axis، وينما ال object above the
+
+243
+00:17:32,950 --> 00:17:37,090
+optical axisThe location of the image is
+
+244
+00:17:37,090 --> 00:17:39,410
+determined by vergence calculations
+
+245
+00:17:52,560 --> 00:17:55,860
+divergence of light entering the lens is minus one
+
+246
+00:17:55,860 --> 00:17:57,860
+minus because the light is divergent from the
+
+247
+00:17:57,860 --> 00:18:02,100
+object to twenty centimeters which is minus five
+
+248
+00:18:02,100 --> 00:18:05,180
+diopters according to the lens maker equation or
+
+249
+00:18:05,180 --> 00:18:08,160
+according to the thin lens equation divergence of
+
+250
+00:18:08,160 --> 00:18:11,900
+light exiting the lens is minus five diopters plus
+
+251
+00:18:11,900 --> 00:18:15,140
+the power gives me v which is plus five diopters
+
+252
+00:18:15,140 --> 00:18:20,210
+the imageuncertainty over V I equals uncertainty
+
+253
+00:18:20,210 --> 00:18:22,830
+over V which is one over plus five diopters which
+
+254
+00:18:22,830 --> 00:18:25,710
+equals plus two out of ten meters which equals
+
+255
+00:18:25,710 --> 00:18:28,630
+twenty centimeters to the right of the lens twenty
+
+256
+00:18:28,630 --> 00:18:30,870
+centimeters to the right of the lens of course
+
+257
+00:18:30,870 --> 00:18:36,310
+here we used different distances here we used
+
+258
+00:18:36,310 --> 00:18:39,390
+different distances so it will not be twenty
+
+259
+00:18:39,390 --> 00:18:42,850
+centimeters to the right of the lens we can adjust
+
+260
+00:18:42,850 --> 00:18:45,710
+all our work and repeat it from the beginning high
+
+261
+00:18:45,710 --> 00:18:52,510
+resetWe put grid here and we assume that this is a
+
+262
+00:18:52,510 --> 00:18:58,390
+ray and we want to use it as an optical axis
+
+263
+00:18:58,390 --> 00:19:07,270
+Now
+
+264
+00:19:07,270 --> 00:19:09,470
+we put lens
+
+265
+00:19:21,230 --> 00:19:24,690
+This lens has a power of plus 10 diopters because
+
+266
+00:19:24,690 --> 00:19:30,610
+the focal length is 10 cm in the air Now my body
+
+267
+00:19:30,610 --> 00:19:34,350
+is supposed to be 20 cm by 20 cm, I want to use
+
+268
+00:19:34,350 --> 00:19:34,830
+the ruler
+
+269
+00:19:50,620 --> 00:19:53,460
+200 mm means 20 cm, which means the object point
+
+270
+00:19:53,460 --> 00:19:55,980
+will be at this distance. Now let's take another
+
+271
+00:19:55,980 --> 00:19:56,160
+ray
+
+272
+00:20:08,080 --> 00:20:11,440
+Notice that it entered the FB, the FB is 10 cm
+
+273
+00:20:11,440 --> 00:20:13,540
+away from the lens Because it is parallel to the
+
+274
+00:20:13,540 --> 00:20:17,080
+optical axis, of course, 10 cm from 200 mm to 300
+
+275
+00:20:17,080 --> 00:20:20,000
+mm means that there is a distance of 100 mm, which
+
+276
+00:20:20,000 --> 00:20:33,600
+is 10 cm The second flash Now
+
+277
+00:20:33,600 --> 00:20:39,210
+this flash happened insideNo, it's not inside yet.
+
+278
+00:20:39,930 --> 00:20:44,130
+It's in the posterior focal point. It's inside, in
+
+279
+00:20:44,130 --> 00:20:46,210
+the anterior, sorry, focal point. It comes out
+
+280
+00:20:46,210 --> 00:20:49,510
+parallel. The place where they meet determines the
+
+281
+00:20:49,510 --> 00:20:53,660
+image. Do you see the image apart?20 cm, how did
+
+282
+00:20:53,660 --> 00:20:56,560
+she know that from 200 to 400 there is 200 mm
+
+283
+00:20:56,560 --> 00:20:59,500
+which means 20 cm The object is also at a distance
+
+284
+00:20:59,500 --> 00:21:02,380
+of 20 cm, the image is at a distance of 20 cm and
+
+285
+00:21:02,380 --> 00:21:06,360
+the object is at a distance of 20 cm The ray that
+
+286
+00:21:06,360 --> 00:21:10,140
+remained with him
+
+287
+00:21:10,140 --> 00:21:11,560
+is the chief ray
+
+288
+00:21:20,090 --> 00:21:25,110
+Image distance is 20 cm to the right and object
+
+289
+00:21:25,110 --> 00:21:30,030
+distance is 20 cm to the left, so transference
+
+290
+00:21:30,030 --> 00:21:32,950
+magnification is minus 1 because image distance to
+
+291
+00:21:32,950 --> 00:21:38,490
+object distance is plus 2 out of 10 meterson minus
+
+292
+00:21:38,490 --> 00:21:41,490
+two out of ten meters, which is x minus one The
+
+293
+00:21:41,490 --> 00:21:43,730
+picture is upside down and exactly the height of
+
+294
+00:21:43,730 --> 00:21:46,170
+the object If we multiply the height of the object
+
+295
+00:21:46,170 --> 00:21:50,710
+by squares, square two, three, four, five Here
+
+296
+00:21:50,710 --> 00:21:55,850
+also square two, three, four, five, five
+
+297
+00:21:55,850 --> 00:21:58,810
+Therefore, the height of the picture is the same
+
+298
+00:21:58,810 --> 00:22:03,920
+as the height of the objectBecause the object and
+
+299
+00:22:03,920 --> 00:22:06,880
+the image are equidistant from the lens, the
+
+300
+00:22:06,880 --> 00:22:10,460
+transphase magnification is minus one, the central
+
+301
+00:22:10,460 --> 00:22:14,920
+ray can also be drawn through the optical center
+
+302
+00:22:14,920 --> 00:22:18,080
+of the lens to confirm the location, to confirm.
+
+303
+00:22:22,780 --> 00:22:27,220
+Now what if the object is in the previous example
+
+304
+00:22:27,220 --> 00:22:30,880
+is moved closer so that it is five centimeters in
+
+305
+00:22:30,880 --> 00:22:35,300
+front of the lens,instead of عشرين صنطي in front
+
+306
+00:22:35,300 --> 00:22:39,820
+يعني inside FAالان بدنا بنقول هذا السيناريو حدث
+
+307
+00:22:39,820 --> 00:22:44,720
+معنا هى FA هى نقطة FA طب لو ال object كان جوا
+
+308
+00:22:44,720 --> 00:22:48,940
+المنطقة يعني أقرب لل lens من البقرة الأمامية يعني
+
+309
+00:22:48,940 --> 00:22:53,100
+ال object محتوط هنا يا ترى إيش السيناريوهات اللى
+
+310
+00:22:53,100 --> 00:22:56,520
+هتسير معانا إيش السيناريوهات اللى هتسير معانا
+
+311
+00:22:56,520 --> 00:22:57,300
+بنقول
+
+312
+00:23:04,470 --> 00:23:07,990
+Here I have the lens, its strength is plus 10
+
+313
+00:23:07,990 --> 00:23:11,030
+diopters, if we point to the lens, the focal
+
+314
+00:23:11,030 --> 00:23:14,390
+length will be 100mm, which is 10 diopters. We put
+
+315
+00:23:14,390 --> 00:23:19,310
+the lens at a distance, or we put the object at
+
+316
+00:23:19,310 --> 00:23:21,950
+half the distance. At half the distance, we say
+
+317
+00:23:21,950 --> 00:23:25,510
+here is the ray, and here I have an object point.
+
+318
+00:23:29,550 --> 00:23:33,250
+What will happen is the first thing.This is the
+
+319
+00:23:33,250 --> 00:23:36,630
+first thing Parallel rays will enter the FB, there
+
+320
+00:23:36,630 --> 00:23:40,470
+is no change on this issue Okay, FA is here,
+
+321
+00:23:42,330 --> 00:23:45,850
+excuse me, FA at a distance of 10 cm, this point
+
+322
+00:23:45,850 --> 00:23:48,790
+that indicates it is FA Because this is above, the
+
+323
+00:23:48,790 --> 00:23:52,830
+lens is plus 10, then the original distance is 10
+
+324
+00:23:52,830 --> 00:23:57,250
+cm, that is, at this point, FA falls Okay, we want
+
+325
+00:23:57,250 --> 00:23:58,790
+to try the object and keep it at a distance of
+
+326
+00:23:58,790 --> 00:24:04,780
+exactly 5 cmmeans two and a half squares and this
+
+327
+00:24:04,780 --> 00:24:09,820
+lens we have to extend it a lot no, we will not
+
+328
+00:24:09,820 --> 00:24:17,240
+extend it, we will do something else this
+
+329
+00:24:17,240 --> 00:24:22,680
+beam is parallel to the optical axis it
+
+330
+00:24:22,680 --> 00:24:25,180
+will pass through FB completely
+
+331
+00:24:26,840 --> 00:24:33,680
+This FB has a sign of 300 minus 200, so this is 10
+
+332
+00:24:33,680 --> 00:24:36,880
+cm As long as it is equal without calculations, it
+
+333
+00:24:36,880 --> 00:24:40,900
+enters the FB Okay, you can say I don't believe
+
+334
+00:24:40,900 --> 00:24:48,000
+it, we can say this is duplication And here we
+
+335
+00:24:48,000 --> 00:24:53,360
+took another ray and made it also equal to the
+
+336
+00:24:53,360 --> 00:24:54,300
+optical axis
+
+337
+00:24:56,970 --> 00:24:59,670
+equal to the optical axis, as long as it is equal
+
+338
+00:24:59,670 --> 00:25:02,210
+to the optical axis, it must pass through FB and
+
+339
+00:25:02,210 --> 00:25:04,970
+third, fourth, tenth and twentieth rays, of course
+
+340
+00:25:04,970 --> 00:25:09,210
+here this ray is delayed, we now have an object
+
+341
+00:25:09,210 --> 00:25:12,750
+present inside an area inside the frontal
+
+342
+00:25:12,750 --> 00:25:14,430
+capillary region, this is called the frontal
+
+343
+00:25:14,430 --> 00:25:16,350
+capillary region, from the frontal capillary
+
+344
+00:25:16,350 --> 00:25:19,110
+region which is FA anterior focus to the lens
+
+345
+00:25:19,110 --> 00:25:23,850
+which is called anterior focal linkobject 5 cm
+
+346
+00:25:23,850 --> 00:25:29,690
+away and fa 10 cm away how do we find the image?
+
+347
+00:25:30,170 --> 00:25:34,210
+with the three equations or with the three data
+
+348
+00:25:34,210 --> 00:25:37,650
+any beam parallel to the optical system to the
+
+349
+00:25:37,650 --> 00:25:42,970
+optical axis passes through FB ok the second beam
+
+350
+00:25:42,970 --> 00:25:47,050
+the second beam is supposed to pass through FA
+
+351
+00:25:47,050 --> 00:25:52,160
+like the drawing hereLike the yellow light is
+
+352
+00:25:52,160 --> 00:25:56,620
+telling me. Yes, but F-A is behind me. F-A is
+
+353
+00:25:56,620 --> 00:25:59,320
+behind me. The light does not go back, it goes
+
+354
+00:25:59,320 --> 00:26:01,420
+back. The light is directed towards the lens. We
+
+355
+00:26:01,420 --> 00:26:04,260
+say correct, but now we want to make a simple
+
+356
+00:26:04,260 --> 00:26:07,100
+modification. We say that the beam that extends
+
+357
+00:26:07,100 --> 00:26:13,060
+through F-A will come out parallel to the optical
+
+358
+00:26:13,060 --> 00:26:16,100
+axis. Let's see how this case will happen with us.
+
+359
+00:26:16,700 --> 00:26:18,380
+This beam started from the point
+
+360
+00:26:23,650 --> 00:26:27,690
+It started from the same point, point A The length
+
+361
+00:26:27,690 --> 00:26:31,750
+of this ray .. The length of this ray passes
+
+362
+00:26:31,750 --> 00:26:34,890
+through F A How did you know that it passes
+
+363
+00:26:34,890 --> 00:26:41,930
+through F A? It's still .. it's still a little bit
+
+364
+00:26:41,930 --> 00:26:44,250
+So, the length of this .. no, still
+
+365
+00:26:47,040 --> 00:26:51,800
+فى صعوبة بسيطة فى التحكم ايوة الان هذا الشعاع لو
+
+366
+00:26:51,800 --> 00:26:57,220
+انا جيت بالمصطره هجيه بمر بالظبط على فى ال F A
+
+367
+00:26:57,220 --> 00:27:03,200
+امتداده الخلفى بمر فى ال F A اى شعاع بتكون ال F A
+
+368
+00:27:03,200 --> 00:27:08,110
+ورا ورا للخلف منهIt is directed to the lens. If
+
+369
+00:27:08,110 --> 00:27:10,250
+its extension passes through the eye, it will come
+
+370
+00:27:10,250 --> 00:27:15,230
+out parallel to the optical axis.
+
+371
+00:27:15,690 --> 00:27:21,790
+So this issue must be clear to us. So this issue
+
+372
+00:27:21,790 --> 00:27:25,310
+is this point. The third ray is the Chifre.
+
+373
+00:27:29,130 --> 00:27:34,020
+Which passes through the nodal point.هذا الشعاع لا
+
+374
+00:27:34,020 --> 00:27:38,340
+يغير طريقه أبدا إذا ملاحظين الشعاع الأول والتاني
+
+375
+00:27:38,340 --> 00:27:44,100
+والتالت Divergent Divergent إيش يعني Divergent
+
+376
+00:27:44,100 --> 00:27:48,840
+يعني متفرقين عن بعضهم البعض إذا مهما امتدوا على
+
+377
+00:27:48,840 --> 00:27:53,160
+اليمين لن يؤدوا إلى تكوين صورة إذا الصورة خيالية
+
+378
+00:27:53,160 --> 00:27:57,760
+الصورة خيالية وهذا الكلام مثبت بالتجربة هذا الكلام
+
+379
+00:27:57,760 --> 00:28:02,870
+مثبت بالتجربة إذا إحنا الآن وصلنا لقاعدةthat any
+
+380
+00:28:02,870 --> 00:28:06,890
+radiation or any body that falls within the
+
+381
+00:28:06,890 --> 00:28:12,240
+frontal lobe, closer to the lens than FAThe rays
+
+382
+00:28:12,240 --> 00:28:16,460
+will come out of it and enter the lens and will
+
+383
+00:28:16,460 --> 00:28:19,360
+also produce divergence In other words, the power
+
+384
+00:28:19,360 --> 00:28:22,080
+of the lens will not be enough for the divergence
+
+385
+00:28:22,080 --> 00:28:25,480
+coming from this object As long as the rays will
+
+386
+00:28:25,480 --> 00:28:27,700
+produce divergence, then the picture is imaginary
+
+387
+00:28:27,700 --> 00:28:32,620
+The location of the picture will be as many as
+
+388
+00:28:32,620 --> 00:28:36,520
+these three rays that came out As many as the
+
+389
+00:28:36,520 --> 00:28:39,740
+three rays that came out, and this is necessary
+
+390
+00:28:39,740 --> 00:28:49,950
+for usيعني .. نحاول
+
+391
+00:28:49,950 --> 00:28:56,990
+نثبته بالتجربة هذا الشعاع الموازي لل optical axis
+
+392
+00:28:56,990 --> 00:29:03,790
+لو مديناه للخلف و هذا الشعاع أيضا لو مديناه للخلف
+
+393
+00:29:03,790 --> 00:29:11,930
+نعمل كمان duplication لههدا شوية لو مدناها للخلف،
+
+394
+00:29:11,930 --> 00:29:17,630
+بس ضروري يكون على نفس التوازن،
+
+395
+00:29:17,630 --> 00:29:22,130
+لأ أنا بدنا نلغي هدا، ضروري يكون على نفس امتداد
+
+396
+00:29:22,130 --> 00:29:34,390
+الخط اللي خرج من، لأ تمام
+
+397
+00:29:52,480 --> 00:30:07,280
+because the password is supposed
+
+398
+00:30:07,280 --> 00:30:13,080
+to meet in one point and define the place of the
+
+399
+00:30:13,080 --> 00:30:18,580
+image so here I have a rectangle like this, here
+
+400
+00:30:18,580 --> 00:30:19,300
+is the place of the image
+
+401
+00:30:22,300 --> 00:30:25,780
+وهدا الصورة، هذا الشعاع اللي خرج من ال lens مديته
+
+402
+00:30:25,780 --> 00:30:30,900
+للخلف، و هذا ال chief rail اللي خرج من ال lens
+
+403
+00:30:30,900 --> 00:30:35,320
+مديته للخلف، نقطة التقائهم هنا هي ال image، هي ال
+
+404
+00:30:35,320 --> 00:30:38,620
+image اللي هي النقطة هذه الحمرة اللي احنا قاعدين،
+
+405
+00:30:38,620 --> 00:30:43,760
+يعني، هذه
+
+406
+00:30:43,760 --> 00:30:49,400
+هي النقطة الحمرة، اذا ال imageال image هتكون يعني
+
+407
+00:30:49,400 --> 00:30:54,020
+على بعد معين من ال lens على بعد معين من ال lens و
+
+408
+00:30:54,020 --> 00:31:00,760
+بالتالي ممكن أجيسه و أعرف بالحسابات كدهش بتطلع
+
+409
+00:31:00,760 --> 00:31:01,220
+معاه
+
+410
+00:31:07,370 --> 00:31:10,470
+If the object in the previous example is moved
+
+411
+00:31:10,470 --> 00:31:14,230
+closer so that it is 5 cm in front of the lens
+
+412
+00:31:14,230 --> 00:31:19,610
+instead of 20 cm in front, meaning inside FA, I
+
+413
+00:31:19,610 --> 00:31:24,310
+made it inside FA, like this figure, this FA, the
+
+414
+00:31:24,310 --> 00:31:28,550
+object became 5 cm away instead of 20 cm away, it
+
+415
+00:31:28,550 --> 00:31:33,000
+was outside FA, I made it inside FAThe ray that
+
+416
+00:31:33,000 --> 00:31:37,940
+leaves FA and passes through the object point
+
+417
+00:31:37,940 --> 00:31:41,520
+merges from the lens parallel to the optical axis
+
+418
+00:31:45,080 --> 00:31:50,280
+الشعاع اللي امتداده بيخش في FA بيخرج موازي بيخرج
+
+419
+00:31:50,280 --> 00:31:55,260
+موازي طيب الحاجة التانية the ray that enters the
+
+420
+00:31:55,260 --> 00:31:58,940
+lens parallel to the optical axis exits through FP
+
+421
+00:31:58,940 --> 00:32:02,260
+اللي بيدخل parallel اللي بيدخل parallel اللي هو
+
+422
+00:32:02,260 --> 00:32:07,240
+هذا الشعاع بيخرج من ال FA بيخرج من ال lens و بيروح
+
+423
+00:32:07,240 --> 00:32:12,500
+على FP طيب الآن الشعاع التالت اللي هو ال chifre
+
+424
+00:32:12,500 --> 00:32:16,900
+إذا عندي شعاعهذا الأولاني القصيرit came out
+
+425
+00:32:16,900 --> 00:32:20,020
+parallel, why? because it's length is F-A the
+
+426
+00:32:20,020 --> 00:32:24,300
+second ray is also short it came parallel to the
+
+427
+00:32:24,300 --> 00:32:26,440
+optical axis and it came out of the lens and it
+
+428
+00:32:26,440 --> 00:32:29,100
+came out parallel the third ray has a long head
+
+429
+00:32:29,100 --> 00:32:32,540
+which is the chief ray it comes out without
+
+430
+00:32:32,540 --> 00:32:35,340
+changing its path these three rays, one, two,
+
+431
+00:32:35,480 --> 00:32:37,560
+three of course we agreed that this is the optical
+
+432
+00:32:37,560 --> 00:32:43,320
+axis these three rays are divergent
+
+433
+00:32:45,800 --> 00:32:49,020
+Finally, the central ray traverses the optical
+
+434
+00:32:49,020 --> 00:32:53,300
+center of the lens undeviated. On the back side of
+
+435
+00:32:53,300 --> 00:32:53,820
+the lens,
+
+436
+00:32:57,140 --> 00:33:02,960
+these three rays are divergent, so where is the
+
+437
+00:33:02,960 --> 00:33:06,130
+image?if you are looking at the back side of the
+
+438
+00:33:06,130 --> 00:33:11,050
+lens you see the image point you see the image
+
+439
+00:33:11,050 --> 00:33:14,690
+point as the backward extension of all three rays
+
+440
+00:33:14,690 --> 00:33:18,630
+يعني زي ما الفيجر هذا بيوضح يعني احنا خلينا نلون
+
+441
+00:33:18,630 --> 00:33:25,510
+الشعة، بنقول كالقاتل هذا
+
+442
+00:33:25,510 --> 00:33:29,870
+الشعاع امتداده، خلي امتداده باللون الأبيض، امتداده
+
+443
+00:33:29,870 --> 00:33:33,110
+بخش في FAIt means that it is directed towards the
+
+444
+00:33:33,110 --> 00:33:39,430
+lens, but its extension to the back, if we extend
+
+445
+00:33:39,430 --> 00:33:41,610
+it to the back, it will be as if it is starting
+
+446
+00:33:41,610 --> 00:33:44,350
+from A to E, it will come out parallel to the
+
+447
+00:33:44,350 --> 00:33:46,590
+optical axis, it will come out parallel to the
+
+448
+00:33:46,590 --> 00:33:50,510
+optical axis The second ray, we will give it
+
+449
+00:33:50,510 --> 00:33:53,450
+another color, it came parallel to the optical
+
+450
+00:33:53,450 --> 00:33:56,830
+axis, when it comes out of the lens
+
+451
+00:34:00,340 --> 00:34:07,820
+The third ray is the chief ray that enters the
+
+452
+00:34:07,820 --> 00:34:08,720
+nodal point
+
+453
+00:34:12,340 --> 00:34:16,780
+In the blue color, we find that it does not change
+
+454
+00:34:16,780 --> 00:34:19,820
+its way. If we look at these rays, this is the
+
+455
+00:34:19,820 --> 00:34:21,940
+back of the lens and this is the anterior part of
+
+456
+00:34:21,940 --> 00:34:23,880
+the lens. We will find that these rays are
+
+457
+00:34:23,880 --> 00:34:26,380
+divergent. Now, where is the picture? The picture
+
+458
+00:34:26,380 --> 00:34:29,780
+is on the extensions of these three rays to the
+
+459
+00:34:29,780 --> 00:34:35,300
+back, on their extensions to the back, so I get
+
+460
+00:34:40,910 --> 00:34:48,630
+بنمد هذا شعاع للخلف، وبنمد هذا شعاع للخلف، وبنمد
+
+461
+00:34:48,630 --> 00:34:52,990
+شعاع التالت للخلف، خليني بس أشر على شعاع التالت
+
+462
+00:34:59,250 --> 00:35:03,190
+they will meet at one point this point is the
+
+463
+00:35:03,190 --> 00:35:08,010
+image point of the point since divergent ray is
+
+464
+00:35:08,010 --> 00:35:12,290
+known as virtual image virtual image distance
+
+465
+00:35:12,290 --> 00:35:16,790
+which is the distance of the image from the lens
+
+466
+00:35:16,790 --> 00:35:19,970
+to the object distance gives me a transfer of
+
+467
+00:35:19,970 --> 00:35:22,890
+magnification gives me a transfer of magnification
+
+468
+00:35:22,890 --> 00:35:25,750
+and this shape now when it becomes colored becomes
+
+469
+00:35:25,750 --> 00:35:26,530
+clearer
+
+470
+00:35:29,990 --> 00:35:32,530
+by the lens makers equation or the thin lens
+
+471
+00:35:32,530 --> 00:35:35,990
+equation divergence of light exiting the lens is
+
+472
+00:35:35,990 --> 00:35:39,930
+minus 10 diopter why minus 10 diopter because the
+
+473
+00:35:39,930 --> 00:35:44,110
+light will reach minus 20 diopter because the
+
+474
+00:35:44,110 --> 00:35:47,330
+object is at a distance of 5 cm if we calculate it
+
+475
+00:35:47,330 --> 00:35:54,870
+at a distance of 5 cm how much is U? U is equal to
+
+476
+00:35:54,870 --> 00:35:56,090
+negative N over O
+
+477
+00:35:59,680 --> 00:36:05,000
+and it's negative because it's divergent from the
+
+478
+00:36:05,000 --> 00:36:07,640
+object because it's a real object over 5 cm which
+
+479
+00:36:07,640 --> 00:36:13,780
+is 5 out of 100 meters and
+
+480
+00:36:13,780 --> 00:36:19,320
+it's equal to minus 20 diopters as long as u is
+
+481
+00:36:19,320 --> 00:36:25,320
+minus 20 dioptersالعدسة هتبغي كل قوتها هتلغي عشرة
+
+482
+00:36:25,320 --> 00:36:29,940
+من العشرين و هيضل تشتت بمقدار عشرة ديوبتر، إذا
+
+483
+00:36:29,940 --> 00:36:32,800
+الصورة هتتكون على بعد عشرة أقصان، نروح لل
+
+484
+00:36:32,800 --> 00:36:37,440
+simulation، هاي الصورة اتكونت هنا، في المنطقة هاي
+
+485
+00:36:37,440 --> 00:36:39,980
+طبعا، نروح نرفع ال roller لفوق
+
+486
+00:36:45,710 --> 00:36:48,490
+So the image from 100 to 200 mm is at a distance
+
+487
+00:36:48,490 --> 00:36:51,710
+of 10 cm. This distance is 100 mm. 100 mm means 10
+
+488
+00:36:51,710 --> 00:36:56,690
+cm. The object is
+
+489
+00:36:56,690 --> 00:37:01,730
+the object point here at a distance of 5 cm. The
+
+490
+00:37:01,730 --> 00:37:04,090
+rule that we want to reach is that any object
+
+491
+00:37:04,090 --> 00:37:10,620
+inside the anterior focusAny object inside the
+
+492
+00:37:10,620 --> 00:37:14,560
+anterior focus whether here, or here, or here, or
+
+493
+00:37:14,560 --> 00:37:19,480
+here, or here, or here, or here, or here, or here,
+
+494
+00:37:19,580 --> 00:37:20,600
+or here, or here, or here, or here, or here, or
+
+495
+00:37:20,600 --> 00:37:20,900
+here, or here, or here, or here, or here, or here,
+
+496
+00:37:20,900 --> 00:37:20,980
+or here, or here, or here, or here, or here, or
+
+497
+00:37:20,980 --> 00:37:21,600
+here, or here, or here, or here, or here, or here,
+
+498
+00:37:21,600 --> 00:37:24,040
+or here, or here, or here, or here, or here, or
+
+499
+00:37:24,040 --> 00:37:24,320
+here, or here, or here, or here, or here, or here,
+
+500
+00:37:24,320 --> 00:37:26,440
+or here, or here, or here, or here, or here, or
+
+501
+00:37:26,440 --> 00:37:34,980
+here, or here, or here, or
+
+502
+00:37:34,980 --> 00:37:36,300
+here
+
+503
+00:37:39,800 --> 00:37:50,620
+if the object image
+
+504
+00:37:50,620 --> 00:38:00,980
+if the object is inside F A ايش الصفات بتاعة ال
+
+505
+00:38:00,980 --> 00:38:08,460
+image؟ واحد، virtual اتنين
+
+506
+00:38:11,780 --> 00:38:22,560
+erect يعني معتدلة تلاتة magnified يعني virtual مش
+
+507
+00:38:22,560 --> 00:38:26,620
+حقيقية erect معتدلة زيها زي ال object مش مجلوبة
+
+508
+00:38:26,620 --> 00:38:31,540
+magnified مكبرة مستحيل تكون جده ولا أصغر منه دائما
+
+509
+00:38:31,540 --> 00:38:39,240
+مكبرة و هذه الوضعيةهذه الوضعية هي فكرة عمل ال
+
+510
+00:38:39,240 --> 00:38:43,180
+magnifiers المكبرات، العدسات المكبرة اللي ممكن
+
+511
+00:38:43,180 --> 00:38:47,520
+احنا نصادفها في الأسواق أو في محلات البصريات أو ال
+
+512
+00:38:47,520 --> 00:38:49,880
+hand-held magnifier، ال magnifier اللي بنمسك
+
+513
+00:38:49,880 --> 00:38:57,260
+بالإيد فكرة عمله، فكرة عمله، قريبا بس نأخد صورة
+
+514
+00:38:57,260 --> 00:39:04,280
+عشان اللي مش متذكر هو hand-held magnifier
+
+515
+00:39:08,090 --> 00:39:10,590
+This is the handheld magnifier with its different
+
+516
+00:39:10,590 --> 00:39:13,170
+types. The idea behind it is to place the object
+
+517
+00:39:13,170 --> 00:39:19,430
+inside the f-a of this lens Inside the f-a of the
+
+518
+00:39:19,430 --> 00:39:23,770
+lens, so the object will have a picture enlarged,
+
+519
+00:39:24,010 --> 00:39:28,970
+virtual correct, but enlarged and slanted enlarged
+
+520
+00:39:28,970 --> 00:39:33,530
+and slanted, that's why if I hold any lens from
+
+521
+00:39:33,530 --> 00:39:37,950
+the lens bagوحسبت يعني قرأت قوتها مثلا plus 5 plus
+
+522
+00:39:37,950 --> 00:39:42,470
+7 plus 12 وحسبت جديش البعد البقري الأمامي إلها
+
+523
+00:39:42,470 --> 00:39:47,750
+وبعدين أمسكت أي object وخليته داخل البعد الأمامي
+
+524
+00:39:47,750 --> 00:39:50,310
+لهذه العدسة ونظرت من الناحية التانية هلاقي هذا ال
+
+525
+00:39:50,310 --> 00:39:53,690
+object مكبرI will find this object magnified or in
+
+526
+00:39:53,690 --> 00:39:58,450
+other words, I took a plus 12 or plus 7 or plus 5
+
+527
+00:39:58,450 --> 00:40:01,290
+lens and looked into it and found it magnified, I
+
+528
+00:40:01,290 --> 00:40:03,870
+must know that this object which I found magnified
+
+529
+00:40:03,870 --> 00:40:08,390
+means .. means that this object is located inside
+
+530
+00:40:08,390 --> 00:40:13,430
+the FAA means located inside the FAA Okay, now I
+
+531
+00:40:13,430 --> 00:40:19,240
+have one last scenario What if ..It was the object
+
+532
+00:40:19,240 --> 00:40:23,020
+not farther than the FA and not closer than the
+
+533
+00:40:23,020 --> 00:40:27,060
+FA, it came exactly to the FA, it came exactly to
+
+534
+00:40:27,060 --> 00:40:30,500
+the FA Either you see what's going to happen or
+
+535
+00:40:30,500 --> 00:40:32,400
+what's the scenario that's going to happen, we'll
+
+536
+00:40:32,400 --> 00:40:33,220
+continue and say
+
+537
+00:40:36,650 --> 00:40:39,910
+طبعا this is the basis اللي شرحناه قبل شوية لما
+
+538
+00:40:39,910 --> 00:40:43,970
+يكون inside the FA this is the basis او ال optical
+
+539
+00:40:43,970 --> 00:40:48,510
+basis of simple handheld plus lens magnifier اللي
+
+540
+00:40:48,510 --> 00:40:53,950
+شوفنا صورته قبل شوية an object positioned inside
+
+541
+00:40:53,950 --> 00:40:57,110
+the focal point of a plus spherical lens will
+
+542
+00:40:57,110 --> 00:41:01,850
+produce magnified هي واحد upright يعني erect
+
+543
+00:41:01,850 --> 00:41:08,830
+virtual تلاتة image صورة مكبرةواجفة مش مش مجلوبة و
+
+544
+00:41:08,830 --> 00:41:12,950
+virtual غير حقيقية هذه القضية ممكن احنا نحاولها
+
+545
+00:41:12,950 --> 00:41:16,610
+هذه ال experiment with lens you use for indirect
+
+546
+00:41:16,610 --> 00:41:19,110
+ophthalmoscope احنا ال indirect ophthalmoscope
+
+547
+00:41:19,110 --> 00:41:27,050
+بنستعمل معه عدسات اللي بنفحص فيه طبعا قاع العين
+
+548
+00:41:27,050 --> 00:41:31,790
+indirect ophthalmoscope
+
+549
+00:41:40,670 --> 00:41:44,850
+Let's see its picture Of course, we use with it
+
+550
+00:41:44,850 --> 00:41:50,210
+this lens which can be plus 20 or plus 30 or plus
+
+551
+00:41:50,210 --> 00:41:54,490
+28 meaning spherical lens So here, it's the same
+
+552
+00:41:54,490 --> 00:41:58,870
+thing This is the examiner holding the plus lens
+
+553
+00:41:58,870 --> 00:42:02,570
+and looking at the bottom of the screen Okay, now
+
+554
+00:42:02,570 --> 00:42:06,290
+We
+
+555
+00:42:06,290 --> 00:42:10,570
+can try this with this lensWe have a third
+
+556
+00:42:10,570 --> 00:42:12,830
+scenario, we will not explain it but we will say
+
+557
+00:42:12,830 --> 00:42:19,270
+it If the object is not inside FA nor outside FA,
+
+558
+00:42:19,430 --> 00:42:24,250
+it is exactly on the FA It will also be virtual,
+
+559
+00:42:24,650 --> 00:42:28,210
+erect, magnified exactly as if it is inside the FA
+
+560
+00:42:28,210 --> 00:42:33,150
+But the magnification is the maximum magnification
+
+561
+00:42:33,150 --> 00:42:36,250
+It is the maximum magnification in another sense
+
+562
+00:42:37,370 --> 00:42:41,430
+لما بيكون ال object على fa أو جواتها بيعطيني
+
+563
+00:42:41,430 --> 00:42:44,970
+virtual, erect magnification بس ال maximum
+
+564
+00:42:44,970 --> 00:42:48,150
+magnification يعني العدسة هاي بتعطيني أكبر
+
+565
+00:42:48,150 --> 00:42:51,550
+magnification لما يكون ال object موجود بالضبط على
+
+566
+00:42:51,550 --> 00:42:56,190
+البقرة الأمامية طيب لو كان ال object برا بنرجع
+
+567
+00:42:56,190 --> 00:43:03,980
+للمثال الأول لو كان ال object برا fa هنا جوا faلو
+
+568
+00:43:03,980 --> 00:43:07,440
+كان هاي FA و هاي ال object أبعد منها، أبعد عن
+
+569
+00:43:07,440 --> 00:43:11,260
+العدسة منها، هتكون الصورة دائما حقيقية و ال .. و
+
+570
+00:43:11,260 --> 00:43:14,800
+ال size بتاعها حسب وين موجود ال object هل هو بعيد
+
+571
+00:43:14,800 --> 00:43:19,720
+كتير ولا بعيد ولا يعني بعيد بس أق .. يعني جريب من
+
+572
+00:43:19,720 --> 00:43:26,060
+FA و هكذاهيك بتنتهي المحاضرة تاتي اليوم ووصلنا
+
+573
+00:43:26,060 --> 00:43:31,280
+بعدها لأول مرة هنصل لتعامل مع ال concave lenses
+
+574
+00:43:31,280 --> 00:43:35,220
+ويعطيكم العافية والسلام عليكم ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/a3mIBjwnjdU_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/a3mIBjwnjdU_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d8891be344930f37b00e4963806096e58e51d6a9
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/a3mIBjwnjdU_raw.srt
@@ -0,0 +1,776 @@
+1
+00:00:01,600 --> 00:00:03,520
+Bismillah ar-Rahman ar-Rahim. We have a Galilean
+
+2
+00:00:03,520 --> 00:00:06,820
+telescope. We want to know its transverse
+
+3
+00:00:06,820 --> 00:00:11,440
+magnification and angular magnification. The
+
+4
+00:00:11,440 --> 00:00:14,080
+transverse magnification can be obtained in
+
+5
+00:00:14,080 --> 00:00:19,780
+several ways. Transverse magnification is equal to
+
+6
+00:00:19,780 --> 00:00:25,800
+the power of the objective over the power
+
+7
+00:00:28,700 --> 00:00:32,340
+objective lens which is the plus lens and the
+
+8
+00:00:32,340 --> 00:00:35,540
+minus lens which is the I-piece lens and it is
+
+9
+00:00:35,540 --> 00:00:44,380
+equal to 4 diopters divided by 20 dioptersHere I'm
+
+10
+00:00:44,380 --> 00:00:46,400
+not going to use the signs again, but I want to
+
+11
+00:00:46,400 --> 00:00:51,440
+know that the magnification in the Galilean
+
+12
+00:00:51,440 --> 00:01:01,360
+telescope that the image is regular x plus 24
+
+13
+00:01:01,360 --> 00:01:09,740
+which is 5 which is 2 out of 10 So this is what
+
+14
+00:01:09,740 --> 00:01:12,200
+transfers magnification, let's get it another way
+
+15
+00:01:16,280 --> 00:01:21,240
+transfers magnification to this telescope is 2 out
+
+16
+00:01:21,240 --> 00:01:24,760
+of 10 it is a regular image and it is sized to 5
+
+17
+00:01:24,760 --> 00:01:27,380
+times the height of the object standing in front
+
+18
+00:01:27,380 --> 00:01:31,920
+of it another way is the focal length of the
+
+19
+00:01:31,920 --> 00:01:36,980
+eyepiece to the focal length of the objective
+
+20
+00:01:40,320 --> 00:01:42,960
+Before we see the second method, how did we decide
+
+21
+00:01:42,960 --> 00:01:45,660
+that this is a Galilean telescope? We decided that
+
+22
+00:01:45,660 --> 00:01:47,740
+this is a Galilean telescope because I have an
+
+23
+00:01:47,740 --> 00:01:51,960
+objective lens plus 4, its diameter is 25
+
+24
+00:01:51,960 --> 00:01:54,600
+centimeters, one over four is a quarter of a meter
+
+25
+00:01:55,590 --> 00:01:59,050
+وهنا بعدها البقري خمسة صنطة، إذا هذه خمسة وعشرين
+
+26
+00:01:59,050 --> 00:02:03,270
+صنطة بعدها البقري، وهذه خمسة صنطة بعدها البقري، في
+
+27
+00:02:03,270 --> 00:02:06,870
+ال Galilean telescope المسافة بين العدساتين يساوي
+
+28
+00:02:06,870 --> 00:02:09,990
+الفرق بين البعد البقري للعدسة ال plus و البعد
+
+29
+00:02:09,990 --> 00:02:12,590
+البقري للعدسة ال minus، يعني خمسة وعشرين ناقص
+
+30
+00:02:12,590 --> 00:02:15,970
+خمسة، ويساوي عشرين صنطة، فإذا هذا Galilean
+
+31
+00:02:15,970 --> 00:02:18,970
+telescope الطريقة التانية قلناها ال transfers
+
+32
+00:02:18,970 --> 00:02:19,890
+magnification
+
+33
+00:02:23,410 --> 00:02:27,270
+The focal length of the eyepiece The focal length
+
+34
+00:02:27,270 --> 00:02:33,990
+of the eyepiece is n Refractive index over the
+
+35
+00:02:33,990 --> 00:02:40,370
+power over the power which is 1 over 20 which is 5
+
+36
+00:02:40,370 --> 00:02:45,110
+cm 5 cm 1 over 20 of the meter which is 5 cm over
+
+37
+00:02:45,110 --> 00:02:49,490
+the focal length of the objective which is 25 cm
+
+38
+00:02:49,490 --> 00:02:57,280
+and it equalsX 5 means 2 out of 10 So whether we
+
+39
+00:02:57,280 --> 00:03:01,800
+used the first method Or we used the second method
+
+40
+00:03:01,800 --> 00:03:05,460
+The
+
+41
+00:03:05,460 --> 00:03:08,740
+answer is also the same So the force of the lens
+
+42
+00:03:08,740 --> 00:03:10,900
+of the objective on the force of the lens of the
+
+43
+00:03:10,900 --> 00:03:13,860
+eyepiece Or the angular distance of the eyepiece
+
+44
+00:03:13,860 --> 00:03:16,000
+on the angular distance of the objective Will
+
+45
+00:03:16,000 --> 00:03:19,360
+result in Transverse Magnification There is a
+
+46
+00:03:19,360 --> 00:03:23,300
+third method which is Transverse Magnification one
+
+47
+00:03:23,300 --> 00:03:33,300
+over the angular magnification this
+
+48
+00:03:33,300 --> 00:03:35,660
+way we will delay it until we get the angular
+
+49
+00:03:35,660 --> 00:03:37,660
+magnification we say that the angular
+
+50
+00:03:37,660 --> 00:03:40,660
+magnification is equal to the opposite of these
+
+51
+00:03:40,660 --> 00:03:43,580
+exactly what happens in the bus and what happens
+
+52
+00:03:43,580 --> 00:03:45,040
+in the bus happens in the position and here the
+
+53
+00:03:45,040 --> 00:03:48,260
+same thing we say that the angular magnification
+
+54
+00:03:48,260 --> 00:03:53,030
+is equal to the power of the eyepieceon the power
+
+55
+00:03:53,030 --> 00:04:00,290
+of the objective which is the power of the IBIS 20
+
+56
+00:04:00,290 --> 00:04:10,210
+diopter on the power of the objective which is 4
+
+57
+00:04:10,210 --> 00:04:18,970
+diopter which is equal to x 5, 5 times, 5 times it
+
+58
+00:04:18,970 --> 00:04:22,590
+becomes an angle with my eyeor with the human eye
+
+59
+00:04:22,590 --> 00:04:29,890
+that looks through this telescope now
+
+60
+00:04:29,890 --> 00:04:34,210
+we bring it in another way the angular
+
+61
+00:04:34,210 --> 00:04:39,070
+magnification is equal to the focal length of the
+
+62
+00:04:39,070 --> 00:04:42,530
+objective it was here in the position, now it is
+
+63
+00:04:42,530 --> 00:04:45,830
+in the axis on the focal length in the eyepiece
+
+64
+00:04:45,830 --> 00:04:49,250
+and it is equal toThe focal length of the
+
+65
+00:04:49,250 --> 00:04:53,170
+objective is 25 cm over the focal length of the
+
+66
+00:04:53,170 --> 00:04:59,930
+eyepiece which is 5 cm and it is also equal to x5
+
+67
+00:04:59,930 --> 00:05:01,890
+which is 5 times
+
+68
+00:05:22,970 --> 00:05:29,330
+Angular Magnification is equal to
+
+69
+00:05:29,330 --> 00:05:35,430
+1 over Transfer Magnification 1 over Tm
+
+70
+00:05:37,760 --> 00:05:40,880
+Now let's solve Transverse Magnification in the
+
+71
+00:05:40,880 --> 00:05:44,520
+third way, we say y is equal to one over the
+
+72
+00:05:44,520 --> 00:05:47,180
+angular magnification, the angular magnification
+
+73
+00:05:47,180 --> 00:05:52,720
+with me is five, one over five is equal to x two
+
+74
+00:05:52,720 --> 00:06:01,420
+out of ten, x two out of ten thenRegardless, I
+
+75
+00:06:01,420 --> 00:06:02,980
+brought it in the first way to transfer
+
+76
+00:06:02,980 --> 00:06:06,100
+magnification or in the second way or in the third
+
+77
+00:06:06,100 --> 00:06:08,340
+way, of course here X plus because the image is
+
+78
+00:06:08,340 --> 00:06:10,120
+regular, it is known in the Galilean telescope
+
+79
+00:06:10,120 --> 00:06:13,640
+that the image is regular, not one word, so here
+
+80
+00:06:13,640 --> 00:06:17,940
+plus two out of ten plus two out of ten plus two
+
+81
+00:06:17,940 --> 00:06:21,920
+out of ten, okay, now I want to bring the angular
+
+82
+00:06:21,920 --> 00:06:24,940
+magnification in the third way, which is one over
+
+83
+00:06:24,940 --> 00:06:28,740
+transfer magnification, that is, one over two out
+
+84
+00:06:28,740 --> 00:06:36,070
+of tenand it's equal to 5 times 5 When I divide 1
+
+85
+00:06:36,070 --> 00:06:39,750
+by 5, the position of the position is simple, so
+
+86
+00:06:39,750 --> 00:06:43,870
+the 5 becomes simple So this is the third method
+
+87
+00:06:43,870 --> 00:06:46,070
+that I use for angular magnification
+
+88
+00:06:48,850 --> 00:06:51,350
+The transphase magnification of this Galilean
+
+89
+00:06:51,350 --> 00:06:53,970
+telescope is 2 out of 10, which is the usual
+
+90
+00:06:53,970 --> 00:06:59,010
+picture And the angular magnification is 5 times
+
+91
+00:06:59,010 --> 00:07:00,830
+the angle, which means that if you make an angle
+
+92
+00:07:00,830 --> 00:07:03,610
+with your eye without a telescope, without this
+
+93
+00:07:03,610 --> 00:07:06,850
+Galilean telescope, it makes an angle of 10
+
+94
+00:07:06,850 --> 00:07:11,430
+degrees, it becomes an angle of 50 degreesالعبرة
+
+95
+00:07:11,430 --> 00:07:14,790
+في النظر لما أنا بكون بتطلع على ال object لما ال
+
+96
+00:07:14,790 --> 00:07:18,010
+human eye بتطلع على ال object العبرة بال angular
+
+97
+00:07:18,010 --> 00:07:22,090
+magnificationtransfers magnification we use it in
+
+98
+00:07:22,090 --> 00:07:24,450
+factories when I have an object, a candle, and I
+
+99
+00:07:24,450 --> 00:07:27,450
+want to take a picture I want to take a picture on
+
+100
+00:07:27,450 --> 00:07:32,150
+a receipt paper, so the expression is angular
+
+101
+00:07:32,150 --> 00:07:35,570
+magnification and this is considered a telescope,
+
+102
+00:07:35,750 --> 00:07:38,930
+it magnifies the picture when I look through the
+
+103
+00:07:38,930 --> 00:07:42,110
+eyepiece when I look through the eyepiece, so it
+
+104
+00:07:42,110 --> 00:07:45,290
+is necessary to note that angular magnificationin
+
+105
+00:07:45,290 --> 00:07:52,010
+practical life is what we use or what we feel we
+
+106
+00:07:52,010 --> 00:07:56,010
+get another example I have a Keplerian telescope I
+
+107
+00:07:56,010 --> 00:07:58,350
+also want to calculate the angular magnification
+
+108
+00:07:58,350 --> 00:08:00,810
+and the transverse magnification the transverse
+
+109
+00:08:00,810 --> 00:08:04,430
+magnification is equal to the same way which is
+
+110
+00:08:04,430 --> 00:08:07,630
+the power of the eyepiece
+
+111
+00:08:11,320 --> 00:08:16,360
+the power of the objective over the power of the
+
+112
+00:08:16,360 --> 00:08:20,780
+eyepiece and it equals the power of the objective
+
+113
+00:08:20,780 --> 00:08:24,800
+plus 2 let's say we don't need signals because the
+
+114
+00:08:24,800 --> 00:08:27,660
+picture is upside down in the Galilean telescope
+
+115
+00:08:27,660 --> 00:08:33,140
+the picture is normal and in the Keplerian
+
+116
+00:08:33,140 --> 00:08:36,120
+telescope the picture is upside down the picture
+
+117
+00:08:36,120 --> 00:08:38,540
+is upside down 2 diopters over 10 diopters
+
+118
+00:08:41,660 --> 00:08:45,440
+y is equal to
+
+119
+00:08:45,440 --> 00:08:59,920
+x minus 2 out of 10 let's make it 20
+
+120
+00:08:59,920 --> 00:09:04,460
+diopters not 10 diopters 20 diopters
+
+121
+00:09:08,100 --> 00:09:10,100
+But as long as we keep it at 20 diopters, the
+
+122
+00:09:10,100 --> 00:09:14,180
+distance starts to change. Because 20 diopters,
+
+123
+00:09:14,280 --> 00:09:17,980
+the focal length is 5 cm, and here it is 50 cm, so
+
+124
+00:09:17,980 --> 00:09:24,040
+it becomes 55 cm to have a Keplerian telescope.the
+
+125
+00:09:24,040 --> 00:09:28,120
+total focal length of the lens of the eyepiece and
+
+126
+00:09:28,120 --> 00:09:31,080
+the total focal length of the lens of the lens of
+
+127
+00:09:31,080 --> 00:09:35,740
+the lens of the lens of the lens of the lens of
+
+128
+00:09:35,740 --> 00:09:36,140
+the lens of the lens of the lens of the lens of
+
+129
+00:09:36,140 --> 00:09:36,140
+the lens of the lens of the lens of the lens of
+
+130
+00:09:36,140 --> 00:09:36,140
+the lens of the lens of the lens of the lens of
+
+131
+00:09:36,140 --> 00:09:36,140
+the lens of the lens of the lens of the lens of
+
+132
+00:09:36,140 --> 00:09:39,500
+the lens of the lens of the lens of the lens of
+
+133
+00:09:39,500 --> 00:09:39,500
+the lens of the lens of the lens of the lens of
+
+134
+00:09:39,500 --> 00:09:40,520
+the lens of the lens of the lens of the lens of
+
+135
+00:09:40,520 --> 00:09:40,520
+the lens of the lens of the lens of the lens of
+
+136
+00:09:40,520 --> 00:09:40,520
+the lens of the lens of the lens of the lens of
+
+137
+00:09:40,520 --> 00:09:43,540
+the lens of the lens of the lens of the lens of
+
+138
+00:09:43,540 --> 00:09:50,940
+the lens of the lens of
+
+139
+00:09:50,940 --> 00:09:52,020
+the lens of the lens of the lens of the lens of
+
+140
+00:09:52,020 --> 00:09:52,020
+the lens of the lens of the lens of the lens of
+
+141
+00:09:52,020 --> 00:09:52,040
+the lens of the lens of the lens of the lens of
+
+142
+00:09:52,040 --> 00:09:52,040
+the lens of the lens of the lens of the lens of
+
+143
+00:09:52,040 --> 00:09:52,040
+the lens of the lens of the lens of the lens of
+
+144
+00:09:52,040 --> 00:09:58,150
+the lenson the focal length of the objective which
+
+145
+00:09:58,150 --> 00:10:01,390
+is equal to the focal length of the eyepiece which
+
+146
+00:10:01,390 --> 00:10:07,570
+is 5 cm on the focal length of the objective which
+
+147
+00:10:07,570 --> 00:10:08,810
+is the two diopters which is equal to the focal
+
+148
+00:10:08,810 --> 00:10:15,550
+length of 50 cm which is equal to x now we put
+
+149
+00:10:15,550 --> 00:10:17,770
+minus because it is a inverted picture the
+
+150
+00:10:17,770 --> 00:10:20,070
+Keplerian is one word and the picture is inverted
+
+151
+00:10:21,520 --> 00:10:25,300
+It is modified by internal prisms as we said in
+
+152
+00:10:25,300 --> 00:10:29,620
+the previous lecture X-1 from 10 also for transfer
+
+153
+00:10:29,620 --> 00:10:34,000
+magnification is equal to 1 over angular
+
+154
+00:10:34,000 --> 00:10:42,120
+magnification and
+
+155
+00:10:42,120 --> 00:10:45,680
+we leave it until we get angular magnification
+
+156
+00:10:45,680 --> 00:10:47,480
+because angular magnification
+
+157
+00:10:50,820 --> 00:10:53,280
+is equal to the opposite of the transfer's
+
+158
+00:10:53,280 --> 00:10:58,480
+magnification so the power of the IPS over the
+
+159
+00:10:58,480 --> 00:11:04,800
+power of the objective is equal to 20 diopters
+
+160
+00:11:04,800 --> 00:11:13,880
+over 2 diopters which is equal tox 10 means 10
+
+161
+00:11:13,880 --> 00:11:17,400
+times the angle is done with it the angle that was
+
+162
+00:11:17,400 --> 00:11:20,340
+done by the object before using the telescope
+
+163
+00:11:20,340 --> 00:11:25,800
+increased 10 times the angular magnification in
+
+164
+00:11:25,800 --> 00:11:30,240
+another way is
+
+165
+00:11:30,240 --> 00:11:37,600
+equal to the focal length of the objective over
+
+166
+00:11:37,600 --> 00:11:42,800
+the focal length of the eyepieceIt is equal to the
+
+167
+00:11:42,800 --> 00:11:47,160
+focal length of the objective which is 50 cm to
+
+168
+00:11:47,160 --> 00:11:50,500
+the focal length of the eyepiece which is 5 cm and
+
+169
+00:11:50,500 --> 00:11:56,660
+it is equal to ten times ten times ten So ten
+
+170
+00:11:56,660 --> 00:12:01,900
+times the image is enlarged compared to the eye of
+
+171
+00:12:01,900 --> 00:12:05,420
+the observer Also the angular magnification
+
+172
+00:12:10,500 --> 00:12:13,420
+Transphase Magnification is 1 over Transphase
+
+173
+00:12:13,420 --> 00:12:18,540
+Magnification Transphase
+
+174
+00:12:18,540 --> 00:12:31,200
+Magnification is 1 over Transphase
+
+175
+00:12:31,200 --> 00:12:37,100
+Magnificationx of course we put minus because it's
+
+176
+00:12:37,100 --> 00:12:41,420
+the inverse of the picture 1 out of 10 now the
+
+177
+00:12:41,420 --> 00:12:45,060
+angular magnification in the third way is equal to
+
+178
+00:12:45,060 --> 00:12:48,520
+1 over transference magnification which is equal
+
+179
+00:12:48,520 --> 00:12:54,860
+to 1 over 1 out of 10 which is equal to 10 times
+
+180
+00:12:54,860 --> 00:12:59,930
+10 times 10one over ten means ten so with these
+
+181
+00:12:59,930 --> 00:13:03,770
+three ways we can get angular magnification and we
+
+182
+00:13:03,770 --> 00:13:16,470
+can get transverse magnification and
+
+183
+00:13:16,470 --> 00:13:18,530
+we said that the most important thing is angular
+
+184
+00:13:18,530 --> 00:13:21,050
+magnification because it is necessary for
+
+185
+00:13:21,050 --> 00:13:24,510
+practical life and that's why telescopesIt is used
+
+186
+00:13:24,510 --> 00:13:27,990
+as low vision aids because it is too big. Because
+
+187
+00:13:27,990 --> 00:13:31,290
+it is too big. If the most important thing is
+
+188
+00:13:31,290 --> 00:13:33,430
+transverse magnification, it is not suitable for
+
+189
+00:13:33,430 --> 00:13:35,510
+people who have low vision because it is too small
+
+190
+00:13:35,510 --> 00:13:38,210
+and therefore makes the vision difficult. But it
+
+191
+00:13:38,210 --> 00:13:41,470
+is the expression of angular magnification in this
+
+192
+00:13:41,470 --> 00:13:46,370
+topic. This is how the topics related to
+
+193
+00:13:46,370 --> 00:13:51,910
+telescopes end. And may Allah's peace, mercy and
+
+194
+00:13:51,910 --> 00:13:52,350
+blessings be upon you.
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/aRHCsCYOhoo_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/aRHCsCYOhoo_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..319036e5e5f65f2724d74b4fc64c73a8190b0e65
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/aRHCsCYOhoo_postprocess.srt
@@ -0,0 +1,212 @@
+1
+00:00:01,620 --> 00:00:02,520
+In the name of God, the Most Gracious, the Most
+
+2
+00:00:02,520 --> 00:00:04,160
+Merciful. We have an example that we want to solve
+
+3
+00:00:04,160 --> 00:00:08,020
+together. We want to find the total force of a
+
+4
+00:00:08,020 --> 00:00:11,380
+thick lens. The front surface is plus eight
+
+5
+00:00:11,380 --> 00:00:14,580
+diopters. The back surface is plus four diopters.
+
+6
+00:00:15,220 --> 00:00:18,220
+The thickness of the lens is two centimeters. The
+
+7
+00:00:18,220 --> 00:00:21,440
+refractive index of the lens is one and four out
+
+8
+00:00:21,440 --> 00:00:26,540
+of ten. We say that the power of the transfer is
+
+9
+00:00:26,540 --> 00:00:36,330
+equal tominus T over NL multiplied by the power of
+
+10
+00:00:36,330 --> 00:00:44,370
+the front multiplied by the power of the back and
+
+11
+00:00:44,370 --> 00:00:49,250
+equals minus
+
+12
+00:00:49,250 --> 00:00:53,190
+T which is thickness which is 2cm which is 2 out
+
+13
+00:00:53,190 --> 00:00:53,890
+of 100 meters
+
+14
+00:01:00,520 --> 00:01:04,040
+on refractive index of the lens which is NL which
+
+15
+00:01:04,040 --> 00:01:10,900
+is one and four out of ten multiply by the power
+
+16
+00:01:10,900 --> 00:01:15,520
+of the front eight eight
+
+17
+00:01:15,520 --> 00:01:20,200
+multiply by eight which is more multiply by the
+
+18
+00:01:20,200 --> 00:01:25,400
+power of the back which is four which is more and
+
+19
+00:01:25,400 --> 00:01:25,620
+equal
+
+20
+00:01:29,940 --> 00:01:38,900
+the minus will go down first we say 4x8x32 4x8x32
+
+21
+00:01:38,900 --> 00:01:47,960
+32x2 which is in the decimal I have 64 and I have
+
+22
+00:01:47,960 --> 00:01:52,940
+the decimal after two numbers so 64 out of 100
+
+23
+00:01:57,990 --> 00:02:02,730
+الان متر فى متر أس ناقص واحد فى متر أس ناقص واحد
+
+24
+00:02:02,730 --> 00:02:06,790
+ال متر فى المتر أس ناقص واحد بيروحوا مع بعض بيضل
+
+25
+00:02:06,790 --> 00:02:09,970
+عندى ال diopter اللى هو متر أس ناقص واحد اذا ناقص
+
+26
+00:02:09,970 --> 00:02:15,350
+اربع وستين من مية diopter على واحد واربعة من عشرة
+
+27
+00:02:15,350 --> 00:02:18,370
+على واحد واربعة من عشرة هروح على ال calculator
+
+28
+00:02:34,080 --> 00:02:40,140
+we will have to use another calculator on
+
+29
+00:02:40,140 --> 00:02:50,180
+the mobile 64 out of 100 divided
+
+30
+00:02:50,180 --> 00:03:01,870
+by 1.4 out of 10 is equal to zero pointfour, five,
+
+31
+00:03:03,070 --> 00:03:06,870
+seven diopters
+
+32
+00:03:06,870 --> 00:03:11,230
+so
+
+33
+00:03:11,230 --> 00:03:17,010
+of course with minus this
+
+34
+00:03:17,010 --> 00:03:21,990
+quantity we will approximate to 45 out of 100
+
+35
+00:03:21,990 --> 00:03:25,910
+diopters approximatelyto change the situation
+
+36
+00:03:25,910 --> 00:03:29,670
+inside the lens Now the problem is not solved yet
+
+37
+00:03:29,670 --> 00:03:33,430
+We need the total power We need the total power We
+
+38
+00:03:33,430 --> 00:03:38,030
+say the power of this lens is equal to the power
+
+39
+00:03:38,030 --> 00:03:45,430
+of the front plus the power of the back service
+
+40
+00:03:45,430 --> 00:03:49,540
+plus the power of the transfer that was lostfrom
+
+41
+00:03:49,540 --> 00:03:53,820
+changing the wave state inside the lens which is
+
+42
+00:03:53,820 --> 00:03:56,780
+equal to the power of the front plus 8 diopter
+
+43
+00:03:56,780 --> 00:04:04,920
+plus the power of the back plus 4 diopter plus
+
+44
+00:04:04,920 --> 00:04:13,520
+the power of the transfer minus 45% diopter which
+
+45
+00:04:13,520 --> 00:04:17,970
+is equal toبنقول تمانية واربعة اتناش بدنا نطرح
+
+46
+00:04:17,970 --> 00:04:26,510
+منهم خمسة واربعين من مية بضال plus 11Plus 11.55%
+
+47
+00:04:26,510 --> 00:04:30,430
+of 100 diopters This lens if it was a thin lens,
+
+48
+00:04:30,590 --> 00:04:33,850
+if it was a thin lens, its power was 12 diopters
+
+49
+00:04:33,850 --> 00:04:37,650
+But because it is a thick lens, it went almost
+
+50
+00:04:37,650 --> 00:04:41,910
+close to half a diopter inside the lens to change
+
+51
+00:04:41,910 --> 00:04:44,250
+the fluctuating state of light So this is the
+
+52
+00:04:44,250 --> 00:04:48,970
+final solution, plus 11.55% of 100 diopters God
+
+53
+00:04:48,970 --> 00:04:50,590
+bless you and peace be upon you
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/bblFe1vtD34.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/bblFe1vtD34.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f2c8b8b3460cc25b66c11e56e5a53ef90a625798
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/bblFe1vtD34.srt
@@ -0,0 +1,1680 @@
+
+1
+00:00:01,890 --> 00:00:05,690
+بسم الله الرحمن الرحيم بنواصل محاضرات ال geometric
+
+2
+00:00:05,690 --> 00:00:08,710
+optics و اتوقفنا المرة الماضية عند ال image
+
+3
+00:00:08,710 --> 00:00:13,850
+quality اللي هي تالت صفة من صفات الصورة اللي
+
+4
+00:00:13,850 --> 00:00:16,210
+بنذاكر فيهم، بنقول صفات الصورة او ال image
+
+5
+00:00:16,210 --> 00:00:20,110
+characteristics هي ال magnification و ال location
+
+6
+00:00:20,110 --> 00:00:23,990
+و ال quality و ال brightness لما بنحكي عن ال
+
+7
+00:00:23,990 --> 00:00:27,850
+quality يعني احنا بنحكي عن جودة الصورة. Careful
+
+8
+00:00:27,850 --> 00:00:32,130
+examination reveals that some details in an object
+
+9
+00:00:32,130 --> 00:00:36,290
+are not reproduced in the image لو احنا تفحصنا
+
+10
+00:00:36,290 --> 00:00:42,430
+صورة تكونت لجسم ما بواسطة optical system مهما كانت
+
+11
+00:00:42,430 --> 00:00:45,450
+جودة ال optical system او العدسات اللي مستخدمة في
+
+12
+00:00:45,450 --> 00:00:50,770
+التصوير فلو فاتفحصنا صورة لهذا ال optical system
+
+13
+00:00:50,770 --> 00:00:55,970
+كوّانها ل object صورة ل object فهذه ال image هنلاقي
+
+14
+00:00:55,970 --> 00:01:01,270
+انه بعض التفاصيل, some details مش موجودة في ال
+
+15
+00:01:01,270 --> 00:01:06,110
+image بينما هي بالاساس موجودة في ال object. Images
+
+16
+00:01:06,110 --> 00:01:10,620
+are imperfect facts. MeansPictures, no matter how
+
+17
+00:01:10,620 --> 00:01:12,940
+similar they are to the object or objects they
+
+18
+00:01:12,940 --> 00:01:16,000
+originate from, or what they represent, are not
+
+19
+00:01:16,000 --> 00:01:19,100
+pictures as they originally were. That is, there
+
+20
+00:01:19,100 --> 00:01:21,500
+is no such thing as a picture as it originally was
+
+21
+00:01:21,500 --> 00:01:25,440
+from any object that existed through any optical
+
+22
+00:01:25,440 --> 00:01:30,220
+system that existed. Not exact scale duplicates of
+
+23
+00:01:30,220 --> 00:01:33,080
+the original object. To explain the picture in a
+
+24
+00:01:33,080 --> 00:01:38,200
+simpler way, we say, to consider the pictureIt's a
+
+25
+00:01:38,200 --> 00:01:46,260
+picture 100% 100%
+
+26
+00:01:46,260 --> 00:01:51,400
+100% 100% 100%
+
+27
+00:01:51,400 --> 00:01:55,220
+100% 100% 100% 100% 100% 100% 100% 100% 100% 100%
+
+28
+00:01:55,220 --> 00:01:58,980
+100% 100% 100% 100% 100% 100% 100% 100% 100% 100%
+
+29
+00:01:58,980 --> 00:02:02,180
+100% 100% 100% 100% 100% 100% 100% 100% 100% 100%
+
+30
+00:02:02,180 --> 00:02:05,500
+100% 100% 100% 100% 100% 100% 100% 100% 100% 100%
+
+31
+00:02:05,500 --> 00:02:05,540
+100% 100% 100% 100% 100% 100% 100% 100% 100% 100%
+
+32
+00:02:05,540 --> 00:02:05,860
+100% 100% 100% 100% 100% 100% 100% 100% 100% 100%
+
+33
+00:02:05,860 --> 00:02:07,740
+100% 100% 100% 100% 100% the pinhole we say
+
+34
+00:02:07,740 --> 00:02:11,460
+consider an object fifty centimeters in front of a
+
+35
+00:02:11,460 --> 00:02:15,620
+pinhole. The pinhole is one millimeter in diameter.
+
+36
+00:02:15,620 --> 00:02:19,700
+and the paper is placed fifty centimeters behind
+
+37
+00:02:19,700 --> 00:02:23,700
+the pinhole. So magnification is one or is minus
+
+38
+00:02:23,700 --> 00:02:27,080
+one. Why is the magnification minus one because we
+
+39
+00:02:27,080 --> 00:02:30,180
+said that the transfer of magnification is equal
+
+40
+00:02:30,180 --> 00:02:33,090
+to image distance which is on the right of the
+
+41
+00:02:33,090 --> 00:02:36,790
+pinhole which is 50cm over object distance on the
+
+42
+00:02:36,790 --> 00:02:39,990
+left of the pinhole which is minus 50cm. So plus
+
+43
+00:02:39,990 --> 00:02:44,470
+50cm which is the image distance over minus 50cm
+
+44
+00:02:44,470 --> 00:02:46,910
+which is the object distance. Which is 50 over 51
+
+45
+00:02:46,910 --> 00:02:50,540
+which is minus over plus. Or plus on minus equals
+
+46
+00:02:50,540 --> 00:02:55,120
+minus. So magnification minus one. So why did we do
+
+47
+00:02:55,120 --> 00:02:59,420
+the experiment to get magnification minus one? To
+
+48
+00:02:59,420 --> 00:03:01,820
+make the size of the image or the height of the
+
+49
+00:03:01,820 --> 00:03:04,140
+image the same as the height of the object. The
+
+50
+00:03:04,140 --> 00:03:08,040
+same height of the object. A small pencil of rays
+
+51
+00:03:08,040 --> 00:03:11,320
+from each object point traverses the pinhole
+
+52
+00:03:11,320 --> 00:03:15,080
+aperture. From each point in the object. From each
+
+53
+00:03:15,080 --> 00:03:20,590
+point in the object. احنا هنا the object مش رسمينه
+
+54
+00:03:20,590 --> 00:03:26,250
+كله بس ما أخدنا نقطتين فقط. نقطة مثلا A و نقطة B من
+
+55
+00:03:26,250 --> 00:03:30,940
+النقطة A حزمة ضوئية It's going to be its share, or
+
+56
+00:03:30,940 --> 00:03:33,120
+pencil of light, it's going to be its share to go
+
+57
+00:03:33,120 --> 00:03:36,320
+through the pinhole aperture, or the opening of
+
+58
+00:03:36,320 --> 00:03:39,320
+the pinhole. Of course, this light band, when it
+
+59
+00:03:39,320 --> 00:03:42,080
+reaches the surface of the receipt paper, it does
+
+60
+00:03:42,080 --> 00:03:45,920
+not remain a point, but rather it becomes a circle.
+
+61
+00:03:45,920 --> 00:03:49,520
+It becomes a circle, this circle is curved
+
+62
+00:03:49,520 --> 00:03:52,580
+compared to the point, they call it Blair circle,
+
+63
+00:03:52,720 --> 00:03:55,900
+Blair circle. Of course, the second point is also
+
+64
+00:03:56,770 --> 00:03:59,410
+You will give me a layer circle, which means its
+
+65
+00:03:59,410 --> 00:04:01,890
+diameter can reach two millimeters, two
+
+66
+00:04:01,890 --> 00:04:06,030
+millimeters. Okay, we don't forget a while ago we
+
+67
+00:04:06,030 --> 00:04:10,730
+said that the distance between .. the distance
+
+68
+00:04:10,730 --> 00:04:17,120
+between ..الجسم اللي هو هنا بيمثله نقطة فقط و ال
+
+69
+00:04:17,120 --> 00:04:20,340
+pinhole. يعني من ال optical system للجسم اللي هي ال
+
+70
+00:04:20,340 --> 00:04:24,260
+object distance نص متر و ال image distance من ال
+
+71
+00:04:24,260 --> 00:04:27,660
+pinhole اللي هو ال optical system لل image ايضا نص
+
+72
+00:04:27,660 --> 00:04:31,620
+متر. اذا بما انه مسافة ال image تساوي مسافة ال
+
+73
+00:04:31,620 --> 00:04:34,640
+object. اذا التكبير اللي transfers magnification
+
+74
+00:04:34,640 --> 00:04:37,890
+اللي هو image distance على object distance يساوي
+
+75
+00:04:37,890 --> 00:04:41,230
+minus one. يعني الصورة ارتفاعها صحيح مجلوبة minus
+
+76
+00:04:41,230 --> 00:04:46,010
+minus يعني مجلوبة ولكن ارتفاعها يساوي ارتفاع ال
+
+77
+00:04:46,010 --> 00:04:49,250
+object. Okay, how is the height equal to the height
+
+78
+00:04:49,250 --> 00:04:53,210
+of the object although each point of the object in
+
+79
+00:04:53,210 --> 00:04:56,710
+the picture has become two millimeters thick. It is
+
+80
+00:04:56,710 --> 00:04:59,030
+known that any light band that flows through the
+
+81
+00:04:59,030 --> 00:05:01,570
+vacuum and scatters the light, we do not talk
+
+82
+00:05:01,570 --> 00:05:03,790
+about the rest of the rays that came out of point
+
+83
+00:05:03,790 --> 00:05:06,590
+A or the rest of the rays that came out of point B.
+
+84
+00:05:06,590 --> 00:05:10,090
+We only care about the band or the pencil of
+
+85
+00:05:10,090 --> 00:05:14,290
+light, the band of light that was destined to come
+
+86
+00:05:14,290 --> 00:05:18,040
+out of A and And you enter the bin hall and you go
+
+87
+00:05:18,040 --> 00:05:21,020
+and form a condition for what? A condition is a
+
+88
+00:05:21,020 --> 00:05:24,520
+circle that is not clear, that has a layer of
+
+89
+00:05:24,520 --> 00:05:27,320
+water, that is, its diameter is about 2
+
+90
+00:05:27,320 --> 00:05:29,200
+millimeters. Well, how will the size of the picture
+
+91
+00:05:29,200 --> 00:05:32,640
+be? That is, if every point in the object .. every
+
+92
+00:05:32,640 --> 00:05:35,620
+point in the object has become .. its picture is a
+
+93
+00:05:35,620 --> 00:05:39,690
+narrow circle, its diameter .. Or a narrow point, a
+
+94
+00:05:39,690 --> 00:05:41,830
+narrow circular point, its diameter is two
+
+95
+00:05:41,830 --> 00:05:43,410
+millimeters, which means that the image is
+
+96
+00:05:43,410 --> 00:05:45,930
+supposed to be very large. Well, how is the image
+
+97
+00:05:45,930 --> 00:05:48,550
+the same size as the object or height the same as
+
+98
+00:05:48,550 --> 00:05:50,810
+the height of the object? With this speech, the
+
+99
+00:05:50,810 --> 00:05:54,270
+reason is that it is a condition, which is Chapter
+
+100
+00:05:54,270 --> 00:06:00,150
+A, which is a point more complicated than A and B
+
+101
+00:06:00,150 --> 00:06:02,350
+condition and C condition, there is an
+
+102
+00:06:02,350 --> 00:06:03,870
+interference between them. Interference, they come
+
+103
+00:06:03,870 --> 00:06:07,430
+to each other. This interference, this interference
+
+104
+00:06:07,430 --> 00:06:12,970
+makes the picture unclear or some details are lost
+
+105
+00:06:12,970 --> 00:06:16,570
+from it. So that we can see the interference, we
+
+106
+00:06:16,570 --> 00:06:20,070
+say that the points close to each other interfere
+
+107
+00:06:20,070 --> 00:06:24,190
+with each other. The primary player circle, which is
+
+108
+00:06:24,190 --> 00:06:25,850
+the picture of point A and the second player
+
+109
+00:06:25,850 --> 00:06:28,870
+circle, let's call it A, of course, and the second
+
+110
+00:06:28,870 --> 00:06:34,590
+player circle, which is B, comes part of it on A,
+
+111
+00:06:35,250 --> 00:06:37,790
+and part of it on C, and C comes part of it on A,
+
+112
+00:06:37,930 --> 00:06:40,410
+and so on, so the pictures of the points
+
+113
+00:06:40,410 --> 00:06:44,710
+interfere, to clarify the issue more and more, we
+
+114
+00:06:44,710 --> 00:06:47,250
+say, we will go to this presentation, of course,
+
+115
+00:06:47,650 --> 00:06:51,690
+which clarifies the idea. We assume that a light
+
+116
+00:06:51,690 --> 00:06:54,610
+beam came out of A and that this is A point, this
+
+117
+00:06:54,610 --> 00:06:58,430
+point or the narrow point or the narrow circle or
+
+118
+00:06:58,430 --> 00:07:02,310
+the Blair circle which is the point or the curved
+
+119
+00:07:02,310 --> 00:07:04,430
+circle this is A point which is the picture of
+
+120
+00:07:04,430 --> 00:07:07,870
+point A and this is B point and this is C point
+
+121
+00:07:07,870 --> 00:07:11,330
+and behind them is D point and this is F point and
+
+122
+00:07:11,330 --> 00:07:14,550
+this is E point and this is K point. So every
+
+123
+00:07:14,550 --> 00:07:19,250
+circle that we see drawn in colors. To clarify the
+
+124
+00:07:19,250 --> 00:07:21,990
+idea and so that we can distinguish them from each
+
+125
+00:07:21,990 --> 00:07:25,150
+other. As a result of their interference, as a
+
+126
+00:07:25,150 --> 00:07:28,990
+result of their interference, the quality of the
+
+127
+00:07:28,990 --> 00:07:32,350
+image is lost. The more they interfere, the more
+
+128
+00:07:32,350 --> 00:07:35,070
+the quality of the image is lost, that is, the
+
+129
+00:07:35,070 --> 00:07:38,070
+details disappear, they distort each other. This
+
+130
+00:07:38,070 --> 00:07:42,690
+means that it can look like In public life, but in
+
+131
+00:07:42,690 --> 00:07:45,390
+the field of voice, in the field of voice, that a
+
+132
+00:07:45,390 --> 00:07:47,570
+person wants to give a lecture, and we have two
+
+133
+00:07:47,570 --> 00:07:50,790
+hundred people listening to this lecture, if he
+
+134
+00:07:50,790 --> 00:07:54,200
+was talking to himself. The voice is clear and
+
+135
+00:07:54,200 --> 00:07:57,120
+audible. If it was another person, it became him
+
+136
+00:07:57,120 --> 00:08:00,120
+and another person, there was a slight distortion.
+
+137
+00:08:00,120 --> 00:08:04,560
+When there are ten people talking, there is more
+
+138
+00:08:04,560 --> 00:08:07,500
+distortion. If all the lecturers, both of them were
+
+139
+00:08:07,500 --> 00:08:09,320
+talking to each other, its name became not a
+
+140
+00:08:09,320 --> 00:08:13,780
+lecture, it became a market, it became a market.
+
+141
+00:08:13,780 --> 00:08:15,780
+Here when there is an interference between the
+
+142
+00:08:15,780 --> 00:08:19,350
+points Sura of the point A, which is A in the
+
+143
+00:08:19,350 --> 00:08:21,290
+object, A condition in the image, which is the
+
+144
+00:08:21,290 --> 00:08:23,890
+picture of A. And B condition, and C condition, and
+
+145
+00:08:23,890 --> 00:08:26,290
+D condition, and it all interferes with each other.
+
+146
+00:08:26,290 --> 00:08:29,630
+It becomes .. it covers each other, it distorts
+
+147
+00:08:29,630 --> 00:08:34,150
+the clarity of each other, so that I have this
+
+148
+00:08:34,150 --> 00:08:36,910
+point, we want it to be what, reached and
+
+149
+00:08:36,910 --> 00:08:39,450
+understood. Here if we wanted to show the case
+
+150
+00:08:39,450 --> 00:08:42,910
+without colors, without colors, we will find that
+
+151
+00:08:42,910 --> 00:08:44,630
+there is an interference between the pictures of
+
+152
+00:08:44,630 --> 00:08:48,210
+the points, this is to clarify the idea only. A
+
+153
+00:08:48,210 --> 00:08:50,250
+condition interferes with B condition, with C
+
+154
+00:08:50,250 --> 00:08:52,610
+condition, the interference can be simple as we
+
+155
+00:08:52,610 --> 00:08:55,250
+see here. And it can be a very big interference,
+
+156
+00:08:55,590 --> 00:08:59,810
+like this tight spot and this tight spot are
+
+157
+00:08:59,810 --> 00:09:06,770
+almost interfering with each other's
+
+158
+00:09:06,770 --> 00:09:10,430
+half of the space. So the more the interference
+
+159
+00:09:10,430 --> 00:09:12,710
+increases, that is, many types or many sizes of
+
+160
+00:09:12,710 --> 00:09:16,050
+interference. So you will lose the quality of the
+
+161
+00:09:16,050 --> 00:09:18,790
+image, you will lose the quality of the image. So
+
+162
+00:09:18,790 --> 00:09:22,210
+image quality, when we talk about image quality
+
+163
+00:09:22,210 --> 00:09:24,990
+and we want to do the experiment that we talked
+
+164
+00:09:24,990 --> 00:09:27,850
+about. We will say that from each point in the
+
+165
+00:09:27,850 --> 00:09:32,830
+object, small pencil of rays from each object
+
+166
+00:09:32,830 --> 00:09:38,150
+point traverses the pinhole aperture, means it will
+
+167
+00:09:38,150 --> 00:09:40,670
+contribute to the formation of the image as the
+
+168
+00:09:40,670 --> 00:09:44,490
+painter. And the closer the two points in the object
+
+169
+00:09:44,490 --> 00:09:48,110
+are to each other, the more their pictures, which
+
+170
+00:09:48,110 --> 00:09:51,190
+are the spots or the player circles, interfere
+
+171
+00:09:51,190 --> 00:09:55,430
+with each other and thus blur each other and
+
+172
+00:09:55,430 --> 00:10:00,210
+reduce the quality of the picture. Now what's the
+
+173
+00:10:00,210 --> 00:10:03,010
+solution? What's the solution? The solution is to
+
+174
+00:10:03,010 --> 00:10:07,110
+minimize. The pinhole is made smaller to make the
+
+175
+00:10:07,110 --> 00:10:10,410
+light band smaller in size and therefore the Blair
+
+176
+00:10:10,410 --> 00:10:13,870
+circle is smaller in size and therefore their
+
+177
+00:10:13,870 --> 00:10:17,590
+interference is less, their interference is less
+
+178
+00:10:17,590 --> 00:10:20,870
+and therefore this is the case each object point
+
+179
+00:10:20,870 --> 00:10:25,110
+produces two millimeter diameter spot in the image.
+
+180
+00:10:25,110 --> 00:10:29,530
+That is, each point in the object is a circle or
+
+181
+00:10:29,530 --> 00:10:35,040
+spot. قطرها اثنين ملي. These spots are called player
+
+182
+00:10:35,040 --> 00:10:39,900
+circles. بنسمي كل بقعة من هذه البقعة دوائر التغبيش
+
+183
+00:10:39,900 --> 00:10:43,520
+او بقعة التغبيش لان هم مش واضحين تماما، يعني في
+
+184
+00:10:43,520 --> 00:10:48,360
+كمية من عدم الوضوح بالنسبة لهم. This term is
+
+185
+00:10:48,360 --> 00:10:52,800
+somewhat misleading because off-axis object points
+
+186
+00:10:52,800 --> 00:10:56,420
+technically produce elliptical spots in the image.
+
+187
+00:10:56,420 --> 00:11:00,180
+
+
+223
+00:12:51,830 --> 00:12:55,730
+or in an irregular shape, whatever the condition,
+
+224
+00:12:55,850 --> 00:12:59,470
+it can be a shape that is close to being a spot or
+
+225
+00:12:59,470 --> 00:13:05,950
+ellipse or it can have distorted edges. In addition,
+
+226
+00:13:06,190 --> 00:13:09,930
+this analysis ignores the diffraction effects that
+
+227
+00:13:09,930 --> 00:13:15,110
+make the spot larger and
+
+228
+00:13:15,110 --> 00:13:20,750
+more 
+
+229
+00:13:20,750 --> 00:13:23,590
+irregular because it's not necessarily going to
+
+230
+00:13:23,590 --> 00:13:24,510
+end up
+
+231
+00:13:28,380 --> 00:13:31,960
+Regardless, each object point is represented by a 
+
+232
+00:13:31,960 --> 00:13:35,100
+blur circle in the image, and the farther the
+
+233
+00:13:35,100 --> 00:13:37,700
+image is from a pinhole, the larger the blur 
+
+234
+00:13:37,700 --> 00:13:38,880
+circle in the image
+
+235
+00:13:45,510 --> 00:13:49,590
+gave me circles or blur circles with a diameter
+
+236
+00:13:49,590 --> 00:13:53,710
+of 2 mm. If we move away the receipt paper, it will
+
+237
+00:13:53,710 --> 00:13:55,890
+become bigger than the blur circle, why? because
+
+238
+00:13:55,890 --> 00:13:58,990
+the light will spread more and move away from each 
+
+239
+00:13:58,990 --> 00:14:02,210
+other. It will become after a period of 3 mm, 4 mm, 
+
+240
+00:14:02,650 --> 00:14:06,430
+cm, etc. so, the more we move away the place of 
+
+241
+00:14:06,430 --> 00:14:10,170
+the image, the more the diameter of the blur
+
+242
+00:14:10,170 --> 00:14:13,830
+circle increases. يعني هذه الدوائر بتصبح أكبر وأكبر 
+
+243
+00:14:13,830 --> 00:14:19,830
+وبيزيد تداخلها مع بعضها البعض، مع بعضها البعض، مع 
+
+244
+00:14:19,830 --> 00:14:21,690
+بعضها البعض، مع بعضها البعض، مع بعضها البعض، مع 
+
+245
+00:14:21,690 --> 00:14:24,250
+بعضها البعض، مع بعضها البعض، مع بعضها البعض، مع 
+
+246
+00:14:24,250 --> 00:14:24,750
+بعضها البعض, مع بعضها البعض, مع بعضها البعض, مع
+
+247
+00:14:24,750 --> 00:14:30,720
+بعضها البعض, مع بعضها البعض is reduced or blurred
+
+248
+00:14:30,720 --> 00:14:34,240
+by the degree to which the blur circles interfere
+
+249
+00:14:34,240 --> 00:14:37,820
+so that we do not forget, blur circles. Each blur
+
+250
+00:14:37,820 --> 00:14:41,140
+circle is a picture of a point from the point of 
+
+251
+00:14:41,140 --> 00:14:42,940
+the object. That is, what is the condition of a
+
+252
+00:14:42,940 --> 00:14:46,630
+blur circle? What picture? A Sharta, we use the
+
+253
+00:14:46,630 --> 00:14:49,270
+word blur circle, which is a circle or a point
+
+254
+00:14:49,270 --> 00:14:53,050
+which is a description of itself, a description of
+
+255
+00:14:53,050 --> 00:14:56,450
+itself. So A Sharta and B Sharta and C Sharta and D 
+
+256
+00:14:56,450 --> 00:14:58,390
+Sharta and so on, which are the pictures of the
+
+257
+00:14:58,390 --> 00:15:01,210
+points of the object on the receipt paper, which 
+
+258
+00:15:01,210 --> 00:15:04,550
+in their group will form the image. The more they
+
+259
+00:15:04,550 --> 00:15:08,090
+interfere with each other, the more the 
+
+260
+00:15:08,090 --> 00:15:10,310
+interference increases, the more the image detail
+
+261
+00:15:22,440 --> 00:15:27,540
+to some extent, the loss of details is mitigated 
+
+262
+00:15:27,540 --> 00:15:29,560
+with the use of a smaller pinhole
+
+263
+00:15:36,120 --> 00:15:39,280
+Pinhole became smaller, the blur circle became
+
+264
+00:15:39,280 --> 00:15:41,700
+smaller, and the ratio of interaction became
+
+265
+00:15:41,700 --> 00:15:46,260
+smaller, the picture became more detailed, more
+
+266
+00:15:46,260 --> 00:15:50,300
+detailed, but we have several things, the first 
+
+267
+00:15:50,300 --> 00:15:54,210
+thing. The first thing we need to know is that the
+
+268
+00:15:54,210 --> 00:15:57,830
+smaller the pinhole is, the more details it gives
+
+269
+00:15:57,830 --> 00:15:58,610
+us.
+
+270
+00:16:01,670 --> 00:16:04,150
+Why? Because the blur circles have less
+
+271
+00:16:04,150 --> 00:16:06,650
+interaction with each other. But we need to know
+
+272
+00:16:06,650 --> 00:16:09,490
+and remember from the first lecture that the
+
+273
+00:16:09,490 --> 00:16:12,830
+pinhole images are too faint to be useful.
+
+274
+00:16:18,230 --> 00:16:21,830
+طيب طالما باهيت جدا و أنا روحت زغرت ال pinhole 
+
+275
+00:16:21,830 --> 00:16:25,630
+كمان و كمان إذا الحزمة الضوئية اللي أصبحت تدخل في 
+
+276
+00:16:25,630 --> 00:16:28,990
+ال pinhole من كل نقطة من نقاط ال object أصبحت أصغر 
+
+277
+00:16:28,990 --> 00:16:33,190
+عدد الأشعة أقل فبالتالي هتصير أبهت مما كانت عليه 
+
+278
+00:16:33,190 --> 00:16:38,450
+إذا ال smaller pinhole. كل ما ال pinhole أصغر في
+
+279
+00:16:38,450 --> 00:16:45,490
+القطر بيعطيني more detailed بس أقل إضاءة يعني 
+
+280
+00:16:45,490 --> 00:16:46,370
+بيعطيني 
+
+281
+00:16:48,630 --> 00:16:53,130
+a smaller pinhole gives a dimmer but more detailed 
+
+282
+00:16:53,130 --> 00:16:57,370
+image. يعني بيعطيني صورة أكثر اعتاما بس أكثر 
+
+283
+00:16:57,370 --> 00:17:03,110
+تفاصيلا. أكثر اعتاما لإنه نصيب كل نقطة أو نصيب كل
+
+284
+00:17:03,110 --> 00:17:09,210
+صورة لنقطة. نصيب إيه شرطة من إيه حزمة شععية أقل مما
+
+285
+00:17:09,510 --> 00:17:12,710
+if we used a bigger pinhole. When we used a bigger
+
+286
+00:17:12,710 --> 00:17:16,470
+pinhole, A was a share of 100,000 rays 
+
+287
+00:17:16,470 --> 00:17:19,190
+entering for example and becoming a condition for 
+
+288
+00:17:19,190 --> 00:17:22,810
+A, while when we used a smaller pinhole, the 100,000 
+
+289
+00:17:22,810 --> 00:17:26,830
+rays became 1000 rays. That is, the share fell down 
+
+290
+00:17:26,830 --> 00:17:30,030
+to one percent of what it used to be. If we say
+
+291
+00:17:30,030 --> 00:17:33,130
+that the main pinhole, which is a little wider than
+
+292
+00:17:33,130 --> 00:17:36,310
+this means that its images are bigger, so the 
+
+293
+00:17:36,310 --> 00:17:38,410
+images of the smaller pinhole will be more
+
+294
+00:17:40,350 --> 00:17:44,610
+bahatanan and dimar means more probably, more 
+
+295
+00:17:44,610 --> 00:17:49,750
+probably, so a smaller pinhole gives dimar but more
+
+296
+00:17:49,750 --> 00:17:53,290
+detailed image, but the details in it are more,
+
+297
+00:17:53,570 --> 00:17:55,350
+what is the reason? Because it has less 
+
+298
+00:17:55,350 --> 00:17:59,830
+interference, less interference with Between
+
+299
+00:17:59,830 --> 00:18:02,690
+pictures of dots between A condition and B 
+
+300
+00:18:02,690 --> 00:18:05,210
+condition and C condition because the blur circle 
+
+301
+00:18:05,210 --> 00:18:07,650
+gets smaller with the pinhole getting smaller
+
+302
+00:18:07,650 --> 00:18:11,950
+Using the smallest pinhole makes the picture 
+
+303
+00:18:12,830 --> 00:18:16,210
+correct, it's more coherent, but it has better 
+
+304
+00:18:16,210 --> 00:18:19,270
+details, it has better details. Let's see here the
+
+305
+00:18:19,270 --> 00:18:21,990
+experiment here, here I have the object, it's the
+
+306
+00:18:21,990 --> 00:18:25,650
+same object, here I used small hole or small pin
+
+307
+00:18:25,650 --> 00:18:31,290
+hole, and here I used large ..Hall, of course, the
+
+308
+00:18:31,290 --> 00:18:34,610
+small hall gave me a clearer image. Clearer image,
+
+309
+00:18:34,750 --> 00:18:38,350
+but it is more obscured, that is, the amount of
+
+310
+00:18:38,350 --> 00:18:40,770
+light in it is less. Because from every point of 
+
+311
+00:18:40,770 --> 00:18:43,810
+the object point, its percentage in sending a
+
+312
+00:18:43,810 --> 00:18:47,390
+light band will be less than its image. While here, 
+
+313
+00:18:47,570 --> 00:18:49,790
+the percentage is greater, but there is an
+
+314
+00:18:49,790 --> 00:18:51,710
+interference between the points between A 
+
+315
+00:18:51,710 --> 00:18:53,550
+condition and B condition and C condition and D 
+
+316
+00:18:53,550 --> 00:18:56,890
+condition and so on. So, the picture became as a 
+
+317
+00:18:56,890 --> 00:18:57,850
+result of this interference
+
+318
+00:19:09,610 --> 00:19:14,350
+smaller penhole has advantages that it gives more 
+
+319
+00:19:14,350 --> 00:19:17,710
+details and disadvantages that it gives less 
+
+320
+00:19:17,710 --> 00:19:23,520
+details. I'tam أكتر يعني الصورة معتمة أكتر بينما
+
+321
+00:19:23,520 --> 00:19:27,860
+تفاصيلها أوضح. هنا الصورة مضيئة أكتر بس مغبشة نتيجة 
+
+322
+00:19:27,860 --> 00:19:33,380
+تداخل صور النقاط مع بعضها البعض. A smaller pinhole
+
+323
+00:19:33,380 --> 00:19:36,740
+gives a dimmer but more detailed image. However, 
+
+324
+00:19:36,740 --> 00:19:41,480
+the smaller the pinhole, the more the diffraction 
+
+325
+00:19:41,480 --> 00:19:43,580
+reduces image equality
+
+326
+00:19:48,320 --> 00:19:50,660
+أحنا هنا مش رسمين ظاهرة الـ diffraction أحنا هنا
+
+327
+00:19:50,660 --> 00:19:51,980
+مش رسمين ظاهرة الـ diffraction كل ما زغرنا ال
+
+328
+00:19:51,980 --> 00:19:55,320
+pinhole, بيزيد ال diffraction اللي هو حيود الأشعة 
+
+329
+00:19:55,320 --> 00:19:59,720
+عن مصارها و تشتتها و بالتالي هيزيد في مشكلة عدم
+
+330
+00:19:59,720 --> 00:20:03,920
+وضوح الصورة لأنه أنا زغرت ال pinhole. لإذا تصغير ال
+
+331
+00:20:03,920 --> 00:20:04,420
+pinhole
+
+332
+00:20:17,590 --> 00:20:22,570
+the only way to avoid any loss of detail is to 
+
+333
+00:20:22,570 --> 00:20:26,690
+produce a perfect point image of each object point.
+
+334
+00:20:28,890 --> 00:20:32,510
+القاعدة الرئيسية أو القاعدة الأم. هذه الجملة هي
+
+335
+00:20:32,510 --> 00:20:38,610
+القاعدة الأم للحصول على صورة طبق الأصل من أي جسم، 
+
+336
+00:20:38,610 --> 00:20:44,210
+من أي جسم. نرجع للصورة الملونة هنا، بنقول، بدنا 
+
+337
+00:20:44,210 --> 00:20:47,830
+ناخد البقعة المضيقة هاي باللون الأبيض، بنقول هاي
+
+338
+00:20:47,830 --> 00:20:50,970
+صورة النقطة A، النقطة A موجودة في ال object و هاي
+
+339
+00:20:50,970 --> 00:20:54,420
+صورتها في ال image. And here this is the picture of
+
+340
+00:20:54,420 --> 00:20:59,280
+point B in yellow, and here in red is the picture
+
+341
+00:20:59,280 --> 00:21:00,300
+of point C
+
+342
+00:21:23,430 --> 00:21:29,750
+وصور نقاط أخرى. المهم جد ما احنا نظغر في الدوائر
+
+343
+00:21:29,750 --> 00:21:33,390
+هاى أو في البقع هاى بتصغير البنهول أو بأي وسيلة 
+
+344
+00:21:33,390 --> 00:21:39,130
+كانت بنستطيعها. الحل الوحيد عشان الصورة .. عشان
+
+345
+00:21:39,130 --> 00:21:42,820
+الصورة تصير .. Its quality and details are all 
+
+346
+00:21:42,820 --> 00:21:46,380
+there, that is, the details in the object are the
+
+347
+00:21:46,380 --> 00:21:49,360
+same as those in the picture. In other words, in 
+
+348
+00:21:49,360 --> 00:21:52,020
+order for the picture to resemble the object one
+
+349
+00:21:52,020 --> 00:21:55,960
+hundred percent, we must reach a point that there
+
+350
+00:21:55,960 --> 00:21:59,890
+is no interference. There is no interference in the 
+
+351
+00:21:59,890 --> 00:22:02,590
+sense that there is no point image that interferes
+
+352
+00:22:02,590 --> 00:22:05,170
+with another point image. What is the condition? Do 
+
+353
+00:22:05,170 --> 00:22:07,330
+not interfere with B condition or with C condition
+
+354
+00:22:07,330 --> 00:22:10,070
+or one of them interferes with the other, and so on.
+
+355
+00:22:10,070 --> 00:22:13,570
+All images of points of the object. In order to 
+
+356
+00:22:13,570 --> 00:22:16,930
+reach this point, in order not to interfere, what
+
+357
+00:22:16,930 --> 00:22:20,130
+condition must be a point? Like A is a point in 
+
+358
+00:22:20,130 --> 00:22:23,470
+the object, point, and B condition must be a point 
+
+359
+00:22:23,470 --> 00:22:27,850
+when we minimize the blur circle, 
+
+360
+00:22:27,850 --> 00:22:31,110
+or the blur ellipse, when we minimize the image of the point 
+
+361
+00:22:31,110 --> 00:22:36,170
+to the extent that we can get the image of the
+
+362
+00:22:36,170 --> 00:22:40,430
+point to be a point, then there will be no
+
+363
+00:22:40,430 --> 00:22:42,610
+interference between the images of the points of 
+
+364
+00:22:42,610 --> 00:22:45,530
+the body, which in a group will form a picture, 
+
+365
+00:22:45,630 --> 00:22:49,880
+and then the picture will be a perfect image. A full 
+
+366
+00:22:49,880 --> 00:22:52,960
+picture with all the details of the object, 
+
+367
+00:22:53,060 --> 00:22:55,720
+meaning that if we put it next to the object, the 
+
+368
+00:22:55,720 --> 00:22:57,940
+person will not be able to distinguish between 
+
+369
+00:22:57,940 --> 00:23:00,880
+which image and which body, which image and which 
+
+370
+00:23:00,880 --> 00:23:06,000
+body. So the basic rule to get a high image quality 
+
+371
+00:23:06,000 --> 00:23:09,480
+or the highest image quality or image quality one
+
+372
+00:23:09,480 --> 00:23:11,400
+hundred percent, what does image quality mean one 
+
+373
+00:23:11,400 --> 00:23:14,380
+hundred percent? It means a picture according to
+
+374
+00:23:14,380 --> 00:23:20,170
+the original, about the object, that is, 100% similar
+
+375
+00:23:20,170 --> 00:23:24,370
+in every detail, so that I can get every point from
+
+376
+00:23:24,370 --> 00:23:29,450
+the object's points, its image must be a point in
+
+377
+00:23:29,450 --> 00:23:32,910
+the image. Why must its image be a point, as it is a 
+
+378
+00:23:32,910 --> 00:23:36,330
+point? Because if the image of each point of the
+
+379
+00:23:36,330 --> 00:23:39,510
+body in the image was a point, it will not 
+
+380
+00:23:39,510 --> 00:23:42,330
+interfere with the images of the points. And 
+
+381
+00:23:42,330 --> 00:23:44,970
+therefore, as long as they do not interfere with
+
+382
+00:23:44,970 --> 00:23:46,990
+each other, they will not interfere with each other
+
+383
+00:23:46,990 --> 00:23:50,610
+and on the contrary, the images will contain all 
+
+384
+00:23:50,610 --> 00:23:56,260
+the details. As long as the image of the points, it's 
+
+385
+00:23:56,260 --> 00:24:00,020
+about things that are bigger than a dot, a circle,
+
+386
+00:24:00,640 --> 00:24:04,600
+or an oval shape, or an irregular shape, that will 
+
+387
+00:24:04,600 --> 00:24:07,880
+be interfered with, as we see here, for example,
+
+388
+00:24:08,000 --> 00:24:09,800
+here in my region, there will be 4 interferences
+
+389
+00:24:10,860 --> 00:24:14,160
+parts. This is the first part, this is the second 
+
+390
+00:24:14,160 --> 00:24:16,840
+part, this is the third part, and this is the
+
+391
+00:24:16,840 --> 00:24:20,780
+fourth part. I have four narrow parts, and these 
+
+392
+00:24:20,780 --> 00:24:23,180
+even interfere with each other, these five or four
+
+393
+00:24:23,180 --> 00:24:25,520
+and so on. And here too, from the side, it 
+
+394
+00:24:25,520 --> 00:24:27,080
+interferes with each other. So, pictures of
+
+395
+00:24:27,080 --> 00:24:30,880
+points, when they are single parts and have no
+
+396
+00:24:30,880 --> 00:24:33,800
+space. On a picture bigger than a point, it must 
+
+397
+00:24:33,800 --> 00:24:36,380
+interfere with the pictures of the adjacent points
+
+398
+00:24:36,380 --> 00:24:41,100
+and thus blur each other, and there will not be 
+
+399
+00:24:41,100 --> 00:24:44,320
+high clarity or image quality. The more the 
+
+400
+00:24:44,320 --> 00:24:46,540
+interference increases, the worse the picture, and
+
+401
+00:24:46,540 --> 00:24:50,960
+its image quality becomes less. The less the 
+
+402
+00:24:50,960 --> 00:24:56,640
+interference, the clearer the picture became, and
+
+403
+00:24:56,640 --> 00:24:59,340
+its quality became higher. That is, it began to 
+
+404
+00:24:59,340 --> 00:25:04,420
+resemble the object more. In order to reach a 100% 
+
+405
+00:25:04,420 --> 00:25:07,620
+resemblance to the object, each image of the point 
+
+406
+00:25:07,620 --> 00:25:11,740
+image must be a point, because a point is a very
+
+407
+00:25:11,740 --> 00:25:15,520
+small point, so it will not interfere with the 
+
+408
+00:25:15,520 --> 00:25:17,640
+surrounding points, and what revolves around it 
+
+409
+00:25:17,640 --> 00:25:18,060
+will be
+
+410
+00:25:24,080 --> 00:25:29,900
+
+445
+00:27:17,810 --> 00:27:21,290
+that we have not reached a device that produces a 
+
+446
+00:27:21,290 --> 00:27:28,190
+picture 100% according to the original, 100%. We say 
+
+447
+00:27:28,190 --> 00:27:32,070
+perfect point image of an object point is called a
+
+448
+00:27:32,070 --> 00:27:37,250
+stigmatic image. Stigmatic image. When we get a
+
+449
+00:27:37,250 --> 00:27:39,930
+picture of each point from the point of the object 
+
+450
+00:27:39,930 --> 00:27:42,950
+in the form of a point. That is, the picture of the
+
+451
+00:27:42,950 --> 00:27:46,470
+point is a point, I call it a stigmatic image
+
+452
+00:27:46,470 --> 00:27:51,090
+stigmatic, not astigmatic, stigmatic image means a 
+
+453
+00:27:51,090 --> 00:27:54,010
+picture as it should be. Stigmatic image means a
+
+454
+00:27:54,010 --> 00:27:58,560
+picture as it should be. The word stigmatic came
+
+455
+00:27:58,560 --> 00:28:02,800
+from the ancient Greek language, Greek, from the
+
+456
+00:28:02,800 --> 00:28:08,360
+word stigma. Stigma means sharply pointed stylus,
+
+457
+00:28:08,760 --> 00:28:10,780
+which means sharply pointed stylus, which means
+
+458
+00:28:10,780 --> 00:28:13,760
+sharply pointed stylus, which means sharply 
+
+459
+00:28:13,760 --> 00:28:17,340
+pointed stylus, which means sharply pointed
+
+460
+00:28:17,340 --> 00:28:20,140
+stylus, which means sharply pointed stylus, which
+
+461
+00:28:20,140 --> 00:28:21,920
+means sharply pointed stylus, which means sharply 
+
+462
+00:28:21,920 --> 00:28:23,000
+pointed stylus, which means sharply pointed
+
+463
+00:28:23,000 --> 00:28:25,020
+stylus, which means sharply pointed stylus, which
+
+464
+00:28:25,020 --> 00:28:26,280
+stylus, which means sharply pointed stylus 
+
+465
+00:28:45,140 --> 00:28:51,770
+Loss of details occurs in lens and mirror imaging
+
+466
+00:28:51,770 --> 00:28:55,930
+as well as as well as as well as as well as as well as 
+
+467
+00:28:55,930 --> 00:28:56,030
+well as as well as as well as as well as as well as
+
+468
+00:28:56,030 --> 00:28:56,070
+well as as well as as well as as well as as well as
+
+469
+00:28:56,070 --> 00:29:00,430
+well as as well as as well as as well as as well as
+
+470
+00:29:00,430 --> 00:29:14,110
+well as as well as as well as as well as as well as
+
+471
+00:29:14,110 --> 00:29:15,850
+well as as well as as well as as well as as well as
+
+472
+00:29:15,850 --> 00:29:16,550
+well as as well as as well as as well as as well as
+
+473
+00:29:16,550 --> 00:29:17,590
+well as as well as as well as as well as as well as
+
+474
+00:29:17,590 --> 00:29:17,610
+well as as well as as well as as well as as well as
+
+475
+00:29:17,610 --> 00:29:17,650
+well as as well as as well as as well as as well as
+
+476
+00:29:17,650 --> 00:29:17,670
+well as as well as as well as as well as as well as
+
+477
+00:29:17,670 --> 00:29:17,690
+well as as well as as well as as well as as well as
+
+478
+00:29:17,690 --> 00:29:17,830
+well as as well as as well as as well as as well as 
+
+479
+00:29:17,970 --> 00:29:21,890
+صورة طبق الأصل 100% المرة القادمة إن شاء الله
+
+480
+00:29:21,890 --> 00:29:28,390
+يتعالى هنتكلم على إيش اللي بيحصل معايا لما بستخدم
+
+481
+00:29:28,390 --> 00:29:32,390
+optical system عبارة عن lens أو mirror يترا كيف
+
+482
+00:29:32,390 --> 00:29:36,710
+شكل صور النقاط صورة A اللي هي A شرطة وصورة B اللي
+
+483
+00:29:36,710 --> 00:29:41,690
+هي B شرطةكيف بيكون شكلهم لما بستخدم العدسات و
+
+484
+00:29:41,690 --> 00:29:44,670
+المرايا طبعا احنا لما استخدمنا اليوم ال pen hole
+
+485
+00:29:44,670 --> 00:29:48,410
+اعتطنى صورة النقطة عبارة عن بقعة و سمناها هذه
+
+486
+00:29:48,410 --> 00:29:52,790
+البقعة player circle او player ال lips طب لما
+
+487
+00:29:52,790 --> 00:29:55,930
+بستخدم عدسة اش اللى هى يصير الوضع عندى هذا اللى 
+
+488
+00:29:55,930 --> 00:29:59,050
+هنعرفه فى المحاضرة الجاية و يعطيكوا .. يعطيكوا 
+
+489
+00:29:59,050 --> 00:30:02,250
+العافية و السلام عليكم و رحمة الله وبركاته 
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/buAg3-7OVUo.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/buAg3-7OVUo.srt
new file mode 100644
index 0000000000000000000000000000000000000000..625a0cbc9d18e3297c9dd79cb81a0a48d8dde5f9
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/buAg3-7OVUo.srt
@@ -0,0 +1,1387 @@
+
+1
+00:00:00,690 --> 00:00:03,150
+بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم
+
+2
+00:00:03,150 --> 00:00:07,110
+اليوم موضوعنا في ال Geometric Optics هو ال thick
+
+3
+00:00:07,110 --> 00:00:10,790
+lenses او العدسات السميقة ال thin lens
+
+4
+00:00:10,790 --> 00:00:14,110
+approximation is invalid in some clinical settings
+
+5
+00:00:14,110 --> 00:00:19,270
+for example IOLs اللي ال intraocular lenses are
+
+6
+00:00:19,270 --> 00:00:23,840
+treated as thick lensesThe IOL that is planted
+
+7
+00:00:23,840 --> 00:00:30,180
+usually has a power of plus 18, plus 17, plus 20,
+
+8
+00:00:30,300 --> 00:00:34,700
+plus 22, plus 23, it can be more than that or less
+
+9
+00:00:34,700 --> 00:00:37,440
+than that, but usually it is around 20 diopters
+
+10
+00:00:37,440 --> 00:00:40,700
+plus that is planted inside the eye after the
+
+11
+00:00:40,700 --> 00:00:42,300
+cataract operation and that is why it is treated
+
+12
+00:00:42,300 --> 00:00:48,730
+as thick lensesOf course, thick lenses cannot be
+
+13
+00:00:48,730 --> 00:00:53,050
+used as a thin lens approximation to the thin lens
+
+14
+00:00:53,050 --> 00:00:59,170
+equation Consider a lens of arbitrary thickness,
+
+15
+00:00:59,330 --> 00:01:04,510
+meaning let's assume that we have a lens with a
+
+16
+00:01:04,510 --> 00:01:06,250
+considerable thickness, meaning it has a thickness
+
+17
+00:01:06,250 --> 00:01:12,180
+that is not simple, as shown in the pictureOr as
+
+18
+00:01:12,180 --> 00:01:15,940
+in these drawings, these are types of thick lenses
+
+19
+00:01:15,940 --> 00:01:20,660
+such as bi-convex, plano-plano-convex or positive
+
+20
+00:01:20,660 --> 00:01:23,880
+meniscus Also we have negative thick lenses,
+
+21
+00:01:24,520 --> 00:01:28,740
+negative meniscus, plano-concave and bi-concave
+
+22
+00:01:28,740 --> 00:01:31,860
+These are all thick lenses or types of thick
+
+23
+00:01:31,860 --> 00:01:35,740
+lenses We need to know or consider that we have a
+
+24
+00:01:35,740 --> 00:01:40,180
+kind of thick lensThe combined power of a thick
+
+25
+00:01:40,180 --> 00:01:44,420
+lens is not simply the sum of individual service
+
+26
+00:01:44,420 --> 00:01:47,740
+powers يعني بنقولش في حالة ما يكون عندنا thick
+
+27
+00:01:47,740 --> 00:01:53,360
+lens أنه قوة العدسة تساوي قوة السطح الأمامي زائد
+
+28
+00:01:53,360 --> 00:01:54,780
+قوة السطح الخالفي
+
+29
+00:01:57,400 --> 00:02:02,180
+وإنما it includes divergence exchange on transfer
+
+30
+00:02:02,180 --> 00:02:05,900
+يعني ال divergence تغير ال divergence الحالة
+
+31
+00:02:05,900 --> 00:02:11,740
+التشتتية للضوء من السطح الأمامي للعدسة للسطح
+
+32
+00:02:11,740 --> 00:02:16,360
+الخلفي للعدسة في حالة ال thick lens مابنقدرش نهم
+
+33
+00:02:16,360 --> 00:02:21,640
+اللي هو هياخد جزء من قوة العدسة فقوة العدسة هتوزع
+
+34
+00:02:21,640 --> 00:02:26,980
+في ال thick lenses على تلت أقسامقوة للسطح الأمامي
+
+35
+00:02:26,980 --> 00:02:33,700
+وقوة للسطح الخالفي وقوة لتغيير الحالة التشتتية
+
+36
+00:02:33,700 --> 00:02:38,100
+داخل العدسة تغيير الحالة التشتتية داخل العدسة إذا
+
+37
+00:02:38,100 --> 00:02:41,660
+ال P تعالي front ال power of the first lens
+
+38
+00:02:41,660 --> 00:02:46,480
+service أو front lens serviceThe power of the
+
+39
+00:02:46,480 --> 00:02:50,400
+back, P back, the power of the second lens service
+
+40
+00:02:50,400 --> 00:02:54,580
+or the back service of the lens, and the power of
+
+41
+00:02:54,580 --> 00:02:58,000
+the BT, which is the power of the transfer. So how
+
+42
+00:02:58,000 --> 00:03:00,460
+do I calculate how much consumption of the power
+
+43
+00:03:00,460 --> 00:03:04,490
+of the lensto change the refractive state of light
+
+44
+00:03:04,490 --> 00:03:08,070
+inside the lens inside the thickness of the lens
+
+45
+00:03:08,070 --> 00:03:12,770
+first of all, to know the total force of the lens
+
+46
+00:03:12,770 --> 00:03:15,870
+which knows the force of its front surface and the
+
+47
+00:03:15,870 --> 00:03:17,750
+force of its back surface of course I have this
+
+48
+00:03:17,750 --> 00:03:22,230
+thick lens I must first see how much of the force
+
+49
+00:03:22,230 --> 00:03:26,510
+of the lens has changed the refractive state
+
+50
+00:03:26,510 --> 00:03:32,160
+inside this lens the equationYou say, first of
+
+51
+00:03:32,160 --> 00:03:35,340
+all, the power of the transfer is only part of the
+
+52
+00:03:35,340 --> 00:03:39,640
+lens or part of the force of the lens that works
+
+53
+00:03:39,640 --> 00:03:43,240
+inside the lens to change the oscillation state to
+
+54
+00:03:43,240 --> 00:03:46,940
+calculate it, it is calculated as follows minus T
+
+55
+00:03:46,940 --> 00:03:51,680
+over NL in the P of the front in the P of the back
+
+56
+00:03:51,680 --> 00:03:55,020
+What is meant by T? The thickness The lens
+
+57
+00:03:55,020 --> 00:03:59,200
+thickness, of course, the equation is minus T over
+
+58
+00:03:59,200 --> 00:04:00,240
+NL
+
+59
+00:04:02,960 --> 00:04:08,480
+The T is lens thickness and N is index of
+
+60
+00:04:08,480 --> 00:04:18,680
+refraction of lensthe power of the front plus the
+
+61
+00:04:18,680 --> 00:04:23,740
+power of the back minus the power of the transfer
+
+62
+00:04:23,740 --> 00:04:27,980
+minus T over NL plus the power of the front plus
+
+63
+00:04:27,980 --> 00:04:32,390
+the power of the backthis is the quantity that I
+
+64
+00:04:32,390 --> 00:04:35,730
+want to compensate in this equation in the thin
+
+65
+00:04:35,730 --> 00:04:39,090
+lens we said that the power is equal to the power
+
+66
+00:04:39,090 --> 00:04:42,430
+of the front plus the power of the back service
+
+67
+00:04:42,430 --> 00:04:46,950
+and the power of the transfer we neglected it
+
+68
+00:04:46,950 --> 00:04:51,330
+because it is very insignificant so from the
+
+69
+00:04:51,330 --> 00:04:53,330
+approximation we said that the thin lens
+
+70
+00:04:53,330 --> 00:04:57,230
+approximation is the power of the lensThe power of
+
+71
+00:04:57,230 --> 00:04:59,330
+the front surface is equal to the power of the
+
+72
+00:04:59,330 --> 00:05:03,930
+back surface The power
+
+73
+00:05:03,930 --> 00:05:07,650
+of the thick lens is equal to the power of the
+
+74
+00:05:07,650 --> 00:05:11,310
+front surfaceplus the power of the back plus what
+
+75
+00:05:11,310 --> 00:05:15,170
+is lost from the power of the lens or what is used
+
+76
+00:05:15,170 --> 00:05:17,030
+from the power of the lens to change the
+
+77
+00:05:17,030 --> 00:05:20,490
+fluctuating state of the light inside this lens
+
+78
+00:05:20,490 --> 00:05:23,090
+inside this lens because the light cuts a distance
+
+79
+00:05:23,090 --> 00:05:26,550
+and we know that the divergence of the fluctuating
+
+80
+00:05:26,550 --> 00:05:29,210
+state changes with the change of the distance
+
+81
+00:05:29,210 --> 00:05:32,290
+changes with the change of the distance so it
+
+82
+00:05:32,290 --> 00:05:36,290
+reduces the power of the thick lensequal to the
+
+83
+00:05:36,290 --> 00:05:39,610
+power of the front plus the power of the back plus
+
+84
+00:05:39,610 --> 00:05:42,550
+the power of the transfer this power of the
+
+85
+00:05:42,550 --> 00:05:45,430
+transfer is calculated by the high equation minus
+
+86
+00:05:45,430 --> 00:05:49,130
+T over NL in the power of the front in the power
+
+87
+00:05:49,130 --> 00:05:52,330
+of the back now we want to remove from the high
+
+88
+00:05:52,330 --> 00:05:57,310
+equation the Pt and get rid of it by its value in
+
+89
+00:05:57,310 --> 00:05:59,770
+equation number two that is, we take from equation
+
+90
+00:05:59,770 --> 00:06:03,090
+number two and put in equation number one to the
+
+91
+00:06:03,090 --> 00:06:06,550
+power of the transferthis value we want to remove
+
+92
+00:06:06,550 --> 00:06:08,910
+the power of the transfer and put it somewhere so
+
+93
+00:06:08,910 --> 00:06:12,710
+I delete the total power of the thick lens equals
+
+94
+00:06:12,710 --> 00:06:16,310
+the power of the front plus the power of the back
+
+95
+00:06:16,310 --> 00:06:21,710
+service minus T over NL in PF in PP what is this
+
+96
+00:06:21,710 --> 00:06:25,030
+value? this is the power of the transfer the power
+
+97
+00:06:25,030 --> 00:06:32,210
+of the wind power of the front and back are in
+
+98
+00:06:32,210 --> 00:06:38,230
+dioptersis in centimeters. The powers of the front
+
+99
+00:06:38,230 --> 00:06:43,690
+and back surfaces are calculated by the diopters.
+
+100
+00:06:44,910 --> 00:06:48,110
+Let's take an example of that. Let's say we have a
+
+101
+00:06:48,110 --> 00:06:56,050
+thick lens. The front surface is 5 diopters and
+
+102
+00:06:56,050 --> 00:07:00,010
+the back surface is 10 diopters. The thickness of
+
+103
+00:07:00,010 --> 00:07:03,570
+the lens is 1 centimeter.The refractive index is 1
+
+104
+00:07:03,570 --> 00:07:11,410
+.5, which means I have a thick lens and
+
+105
+00:07:11,410 --> 00:07:14,350
+this is the optical axis.
+
+106
+00:07:19,630 --> 00:07:23,210
+The front surface has a force of 5 diopters plus 5
+
+107
+00:07:34,000 --> 00:07:39,420
+والسطح الخالفي plus 10 إيش اللي بيحدد قوة السطح
+
+108
+00:07:39,420 --> 00:07:43,940
+الأمامي وقوة السطح الخالفي؟ التشتت تعدو اللي جاي
+
+109
+00:07:43,940 --> 00:07:48,740
+من ال object التشتت تعدو اللي جاي من ال object إذا
+
+110
+00:07:48,740 --> 00:07:52,400
+كانوا minus 5 إذا قوة السطح الأمامي بتكون plus 5
+
+111
+00:07:52,400 --> 00:07:56,800
+إذا كانوا minus 7 هيكون قوة السطح الأمامي plus 7
+
+112
+00:07:56,800 --> 00:08:01,160
+إذا كانوا minus 10 هيكون قوة السطح الأمامي plus 10
+
+113
+00:08:01,660 --> 00:08:05,200
+It will remain from the power of the lens if it
+
+114
+00:08:05,200 --> 00:08:08,260
+does not remain or if it remains with minus to the
+
+115
+00:08:08,260 --> 00:08:10,180
+back surface So what determines the strength of
+
+116
+00:08:10,180 --> 00:08:14,580
+the surfaces is the refractive state of the light
+
+117
+00:08:14,580 --> 00:08:19,300
+Now I have a lens whose strength is the front
+
+118
+00:08:19,300 --> 00:08:22,320
+surface plus five diopters The back surface is ten
+
+119
+00:08:22,320 --> 00:08:26,680
+diopters The thickness is one centimeter, one
+
+120
+00:08:26,680 --> 00:08:35,580
+centimeterThe thickness of the lens is 1 cm from
+
+121
+00:08:35,580 --> 00:08:38,240
+the front surface of the lens to the back surface
+
+122
+00:08:38,240 --> 00:08:42,420
+of the lens, which is considered a thick lens The
+
+123
+00:08:42,420 --> 00:08:48,280
+refractive index of the glass is 1.5 We want to
+
+124
+00:08:48,280 --> 00:08:51,960
+calculate its final force, which is calculated by
+
+125
+00:08:51,960 --> 00:08:53,120
+the following equation
+
+126
+00:08:59,510 --> 00:09:02,830
+We bring the equation and say that the power of
+
+127
+00:09:02,830 --> 00:09:10,920
+transfer is negative T over NLMinus T over NL in
+
+128
+00:09:10,920 --> 00:09:13,700
+the power of the front in the power of the back
+
+129
+00:09:13,700 --> 00:09:16,180
+Note that we are still only calculating the power
+
+130
+00:09:16,180 --> 00:09:19,360
+of the transfer That is, the amount of the power
+
+131
+00:09:19,360 --> 00:09:22,520
+of the lens that will be consumed to change the
+
+132
+00:09:22,520 --> 00:09:25,180
+polarity of the light inside the lens We have not
+
+133
+00:09:25,180 --> 00:09:29,140
+yet calculated the total power of the lens yet The
+
+134
+00:09:29,140 --> 00:09:32,370
+power of the transfer is equal to minus Tthe
+
+135
+00:09:32,370 --> 00:09:35,590
+thickness on NL which is the refractive index of
+
+136
+00:09:35,590 --> 00:09:38,370
+the lens in the power of the front in the power of
+
+137
+00:09:38,370 --> 00:09:44,130
+the back and
+
+138
+00:09:44,130 --> 00:09:49,610
+it equals the thickness minus T will minus one of
+
+139
+00:09:49,610 --> 00:09:53,210
+one hundred meters which is one centimeter on the
+
+140
+00:09:53,210 --> 00:09:57,010
+refractive index one and a half in the power of
+
+141
+00:09:57,010 --> 00:09:59,090
+the front which is five diopters
+
+142
+00:10:02,390 --> 00:10:05,110
+In the power of the bag which is 10, this is
+
+143
+00:10:05,110 --> 00:10:11,070
+possible Okay, now We
+
+144
+00:10:11,070 --> 00:10:16,940
+want to multiply 1 by 100 by 5 by 10Why? Because
+
+145
+00:10:16,940 --> 00:10:19,320
+this is in the base multiplied by this number
+
+146
+00:10:19,320 --> 00:10:21,240
+multiplied by this number 10 multiplied by 5 is
+
+147
+00:10:21,240 --> 00:10:24,040
+equal to 50 10 multiplied by 5 is equal to 50
+
+148
+00:10:24,040 --> 00:10:26,940
+multiplied by 1 out of 100 is equal to half
+
+149
+00:10:26,940 --> 00:10:29,700
+multiplied by 1 out of 100 is equal to half and
+
+150
+00:10:29,700 --> 00:10:32,400
+the minus sign is not forgotten we do not forget
+
+151
+00:10:32,400 --> 00:10:39,940
+the minus sign so half here I put the diopter I
+
+152
+00:10:39,940 --> 00:10:42,240
+will say why I put the diopter on one and a half
+
+153
+00:10:42,240 --> 00:10:45,460
+okay why did I put the diopter let's say as
+
+154
+00:10:45,460 --> 00:10:45,780
+follows
+
+155
+00:10:49,200 --> 00:10:51,940
+We have here the first sign 1 out of 100 meters
+
+156
+00:10:51,940 --> 00:10:56,580
+When you type in the diopter The first one in D
+
+157
+00:10:56,580 --> 00:11:00,500
+which is meter minus one There is also meter minus
+
+158
+00:11:00,500 --> 00:11:05,300
+one Because I have a diopter here and I have a
+
+159
+00:11:05,300 --> 00:11:08,560
+diopter here When we say meter in meter minus one
+
+160
+00:11:08,560 --> 00:11:13,670
+in a rowone meter square minus one meter square
+
+161
+00:11:13,670 --> 00:11:17,110
+minus one meter square minus one meter square
+
+162
+00:11:17,110 --> 00:11:21,450
+minus one meter square minus one meter square
+
+163
+00:11:21,450 --> 00:11:22,210
+minus one meter square minus one meter square
+
+164
+00:11:22,210 --> 00:11:22,390
+minus one meter square minus one meter square
+
+165
+00:11:22,390 --> 00:11:24,430
+minus one meter square minus one meter square
+
+166
+00:11:24,430 --> 00:11:26,770
+minus one meter square minus one meter square
+
+167
+00:11:26,770 --> 00:11:26,790
+minus one meter square minus one meter square
+
+168
+00:11:26,790 --> 00:11:27,390
+minus one meter square minus one meter square
+
+169
+00:11:27,390 --> 00:11:30,010
+minus one meter square minus one meter square
+
+170
+00:11:30,010 --> 00:11:35,930
+minus one meter square minus one meter square
+
+171
+00:11:35,930 --> 00:11:36,210
+minus one meter square minus one meter square
+
+172
+00:11:36,210 --> 00:11:36,250
+minus one meter square minus one meter square
+
+173
+00:11:36,250 --> 00:11:36,270
+minus one meter square minus one meter square
+
+174
+00:11:36,270 --> 00:11:41,120
+minusMinus one third of the diopter So the total
+
+175
+00:11:41,120 --> 00:11:48,580
+power of the lens will be calculated as usual The
+
+176
+00:11:48,580 --> 00:11:53,640
+total power of the thick lens is equal to the
+
+177
+00:11:53,640 --> 00:12:02,400
+power of the front plus the power of the back plus
+
+178
+00:12:02,400 --> 00:12:06,900
+the power of the transfer It is equal to
+
+179
+00:12:10,160 --> 00:12:14,300
+the power of the front plus 5 diopters plus the
+
+180
+00:12:14,300 --> 00:12:18,880
+power of the back plus 10 diopters plus the power
+
+181
+00:12:18,880 --> 00:12:22,160
+of the transfer minus one third of the diopters
+
+182
+00:12:22,160 --> 00:12:29,880
+minus 0.33 diopters it equals
+
+183
+00:12:38,920 --> 00:12:43,320
+14 plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+184
+00:12:43,320 --> 00:12:46,240
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+185
+00:12:46,240 --> 00:12:46,620
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+186
+00:12:46,620 --> 00:12:47,500
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+187
+00:12:47,500 --> 00:12:50,020
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+188
+00:12:50,020 --> 00:12:50,380
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+189
+00:12:50,380 --> 00:12:51,640
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+190
+00:12:51,640 --> 00:12:52,080
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+191
+00:12:52,080 --> 00:12:52,940
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+192
+00:12:
+
+223
+00:14:36,000 --> 00:14:44,040
+previous lecture From the anterior principal point
+
+224
+00:14:44,700 --> 00:14:47,780
+For anterior focal point, from anterior principal 
+
+225
+00:14:47,780 --> 00:14:51,080
+point to anterior focal point, this is considered
+
+226
+00:14:51,080 --> 00:14:55,440
+anterior focal length. And from the posterior
+
+227
+00:14:55,440 --> 00:14:58,880
+principal point to the posterior focal point, this 
+
+228
+00:14:58,880 --> 00:15:04,600
+is considered the posterior focal length. There is
+
+229
+00:15:04,600 --> 00:15:07,260
+a difference between the anterior focus and the 
+
+230
+00:15:07,260 --> 00:15:10,780
+anterior focal length. And the posterior focus and
+
+231
+00:15:10,780 --> 00:15:14,300
+the posterior focal length. The anterior focus is 
+
+232
+00:15:14,300 --> 00:15:17,100
+the same point in front of the eye, while the
+
+233
+00:15:17,100 --> 00:15:19,400
+anterior focal length is the front of the eye.
+
+234
+00:15:20,430 --> 00:15:23,430
+Posterior focus is the high point, and posterior 
+
+235
+00:15:23,430 --> 00:15:27,930
+focal length is the distance from the posterior
+
+236
+00:15:27,930 --> 00:15:30,450
+principal point, from the posterior principal 
+
+237
+00:15:30,450 --> 00:15:35,810
+point, maybe there is a colored line from the
+
+238
+00:15:35,810 --> 00:15:37,570
+anterior principal point.
+
+239
+00:15:40,140 --> 00:15:44,320
+Posterior focal length from anterior principal
+
+240
+00:15:44,320 --> 00:15:47,020
+point to posterior focal point.
+
+241
+00:15:54,430 --> 00:15:57,770
+Whether for one lens or for a system of lenses,
+
+242
+00:15:58,390 --> 00:16:01,630
+the anterior focal length is on the left, so its
+
+243
+00:16:01,630 --> 00:16:04,150
+sign is minus, this distance is given a minus 
+
+244
+00:16:04,150 --> 00:16:06,370
+sign, the anterior focal length in front is given
+
+245
+00:16:06,370 --> 00:16:09,090
+a minus sign, and the anterior focal length behind
+
+246
+00:16:09,090 --> 00:16:11,330
+is given a plus sign.
+
+247
+00:16:21,920 --> 00:16:24,720
+Following the sign convention, focal lengths are
+
+248
+00:16:24,720 --> 00:16:27,580
+negative when the focal point is to the left of 
+
+249
+00:16:27,580 --> 00:16:30,640
+the principal point and positive when the focal
+
+250
+00:16:30,640 --> 00:16:36,700
+point is to the right of the principal point. على 
+
+251
+00:16:36,700 --> 00:16:41,900
+سبيل المثال في عندي thin lens مقدار قوتها خمسة
+
+252
+00:16:41,900 --> 00:16:46,820
+ديوبتر in air has anterior focal length ناقص عشرين
+
+253
+00:16:46,820 --> 00:16:51,230
+سانتي و posterior focal length plus عشرين سانتي. How 
+
+254
+00:16:51,230 --> 00:16:54,910
+do we get anterior focal length? We divide 
+
+255
+00:16:54,910 --> 00:16:58,170
+refractive index of the media which has the object
+
+256
+00:16:58,170 --> 00:17:02,090
+by power. If refractive index is 1, then it is 1 
+
+257
+00:17:02,090 --> 00:17:06,030
+by power plus 5 diopters. Why do we have minus 
+
+258
+00:17:06,030 --> 00:17:09,310
+sign? Because anterior focal length is on the
+
+259
+00:17:09,310 --> 00:17:14,240
+left. Here, posterior focal length. The equation is
+
+260
+00:17:14,240 --> 00:17:18,780
+nI over power, n is the media that contains air, 
+
+261
+00:17:18,960 --> 00:17:20,960
+of course also the media that contains the image, 
+
+262
+00:17:21,480 --> 00:17:25,060
+which is air is also 1 over power 25 centimeters.
+
+263
+00:17:25,100 --> 00:17:28,400
+Why do I give it a plus sign? Because it is on the 
+
+264
+00:17:28,400 --> 00:17:30,700
+right of the optical system, on the right of the
+
+265
+00:17:30,700 --> 00:17:34,390
+optical system. So to get the focal length, I divide 
+
+266
+00:17:34,390 --> 00:17:40,790
+the refractive index by the power. If I want the
+
+267
+00:17:40,790 --> 00:17:43,250
+anterior focal length, I divide the refractive
+
+268
+00:17:43,250 --> 00:17:48,830
+index by the power of the object. And if I want the 
+
+269
+00:17:48,830 --> 00:17:51,950
+posterior focal length, I divide the refractive
+
+270
+00:17:51,950 --> 00:18:01,920
+index by the power of the object. For any
+
+271
+00:18:01,920 --> 00:18:06,380
+optical 
+
+272
+00:18:06,380 --> 00:18:09,480
+system, the distance from the anterior principal 
+
+273
+00:18:09,480 --> 00:18:14,900
+point to the anterior nodal point is always equal
+
+274
+00:18:14,900 --> 00:18:18,140
+to the distance from the posterior principal point
+
+275
+00:18:18,140 --> 00:18:20,820
+to the posterior nodal point. We see this in 
+
+276
+00:18:20,820 --> 00:18:23,840
+drawing, we say I have anterior nodal point and 
+
+277
+00:18:23,840 --> 00:18:27,960
+posterior nodal point. وعندي anterior principal 
+
+278
+00:18:27,960 --> 00:18:31,720
+point وعندي posterior principal point انا فصلتهم
+
+279
+00:18:31,720 --> 00:18:34,880
+هنا في الرسمة بس هم أحيانا بيكونوا مطابقين على بعض
+
+280
+00:18:34,880 --> 00:18:37,920
+ممكن ال anterior مع ال anterior ينطبق و ال 
+
+281
+00:18:37,920 --> 00:18:40,860
+posterior مع ال posterior ينطبق وممكن الأربعة كلهم
+
+282
+00:18:40,860 --> 00:18:44,960
+ينطبقوا في نقطة واحدة بس بضل انا أتعامل معاهم في 
+
+283
+00:18:44,960 --> 00:18:48,540
+أربع نقاط المعادلة او الجملة اللي حكيناها قبل قليل
+
+284
+00:18:48,540 --> 00:18:51,820
+هي قاعدة بتقول المسافة بين ال anterior and nodal
+
+285
+00:18:51,820 --> 00:18:55,830
+point and the anterior principal point means that
+
+286
+00:18:55,830 --> 00:18:58,470
+this distance is always and never equal to the 
+
+287
+00:18:58,470 --> 00:19:01,650
+distance between the posterior nodal point and the 
+
+288
+00:19:01,650 --> 00:19:05,170
+posterior principal point. So if this distance is 
+
+289
+00:19:05,170 --> 00:19:07,350
+three millimeters, this distance must be three
+
+290
+00:19:07,350 --> 00:19:09,610
+millimeters. If this distance is zero, meaning
+
+291
+00:19:09,610 --> 00:19:11,850
+that the two points are adjacent, this distance
+
+292
+00:19:11,850 --> 00:19:14,350
+must be zero. If this distance is centimeters, 
+
+293
+00:19:14,510 --> 00:19:17,070
+this distance must be centimeters. So always and 
+
+294
+00:19:17,070 --> 00:19:23,120
+never. The distance between anterior nodal point 
+
+295
+00:19:23,120 --> 00:19:25,540
+and anterior principal point is equal to the
+
+296
+00:19:25,540 --> 00:19:28,940
+distance between posterior nodal point and 
+
+297
+00:19:28,940 --> 00:19:31,880
+posterior principal point. This is a very good 
+
+298
+00:19:31,880 --> 00:19:35,180
+point. How do I calculate the distance between one 
+
+299
+00:19:35,180 --> 00:19:38,790
+of these pairs? Or these two, if I calculate
+
+300
+00:19:38,790 --> 00:19:41,190
+between these two, I know what is the other
+
+301
+00:19:41,190 --> 00:19:43,650
+distance. Because always the two distances are 
+
+302
+00:19:43,650 --> 00:19:47,350
+equal. We say, to calculate the distance, there is
+
+303
+00:19:47,350 --> 00:19:50,270
+a rule. The distance is equal to anterior focal 
+
+304
+00:19:50,270 --> 00:19:57,310
+length plus posterior focal length. For example, we 
+
+305
+00:19:57,310 --> 00:20:00,290
+have plus five diopters, of course, all with two
+
+306
+00:20:00,290 --> 00:20:03,370
+signals. Anterior focal length and posterior focal
+
+307
+00:20:03,370 --> 00:20:08,180
+length. The distance to this system. It is equal to 
+
+308
+00:20:08,180 --> 00:20:11,700
+anterior focal length plus posterior focal length 
+
+309
+00:20:11,700 --> 00:20:17,320
+plus five 
+
+310
+00:20:17,320 --> 00:20:21,580
+diopters, plus five diopters, plus five diopters,
+
+311
+00:20:21,640 --> 00:20:24,360
+plus five diopters. The anterior focal length is 
+
+312
+00:20:24,360 --> 00:20:27,140
+minus twenty centimeters and the posterior focal
+
+313
+00:20:27,140 --> 00:20:29,600
+length is plus twenty centimeters. So the distance 
+
+314
+00:20:29,600 --> 00:20:33,800
+between the principal and nodal points, between the 
+
+315
+00:20:33,800 --> 00:20:36,980
+principal and nodal points is equal to AFL plus 
+
+316
+00:20:36,980 --> 00:20:40,400
+PFL. Minus twenty centimeters plus twenty 
+
+317
+00:20:40,400 --> 00:20:43,400
+centimeters is equal to zero. So the nodal points 
+
+318
+00:20:43,400 --> 00:20:45,500
+and the principal points overlap. 
+
+319
+00:20:48,900 --> 00:20:53,840
+نفرض .. نفرض أنه عندي نفس العدسة plus 5 diopter
+
+320
+00:20:53,840 --> 00:20:59,340
+lens in water in front and air in back بمعنى آخر
+
+321
+00:20:59,340 --> 00:21:03,280
+لو فرضنا أنه عندي water في الأمام وفي الخلف عندي 
+
+322
+00:21:03,280 --> 00:21:07,020
+هوا اختلف ال refractive index اختلف ال refractive 
+
+323
+00:21:07,020 --> 00:21:10,320
+index يترى المسافة بين ال nodal points و ال 
+
+324
+00:21:10,320 --> 00:21:16,040
+principal points جدش تساوي بنقول plus 5 diopter 
+
+325
+00:21:16,040 --> 00:21:23,020
+thin lens in water and one and three tenths in 
+
+326
+00:21:23,020 --> 00:21:27,700
+front and air in back the AFL when we divide one
+
+327
+00:21:27,700 --> 00:21:33,320
+and three tenths by plus five we get twenty six 
+
+328
+00:21:33,320 --> 00:21:36,240
+centimeters and six tenths in minus because it is
+
+329
+00:21:36,240 --> 00:21:39,000
+on the left, while the posterior focal length is
+
+330
+00:21:39,000 --> 00:21:45,800
+twenty centimeters, the nodal points we calculate
+
+331
+00:21:45,800 --> 00:21:46,340
+them by calculation. 
+
+332
+00:21:51,520 --> 00:22:00,000
+We say as follows. Anterior focal length is equal
+
+333
+00:22:00,000 --> 00:22:10,760
+to NO divided by power is equal to NO which is one 
+
+334
+00:22:10,760 --> 00:22:15,240
+and thirteen divided by refractive index of the
+
+335
+00:22:15,240 --> 00:22:17,740
+object or of the medium in which the object is 
+
+336
+00:22:17,740 --> 00:22:22,100
+divided by power plus five diopters and it equals 
+
+337
+00:22:22,100 --> 00:22:26,340
+minus 
+
+338
+00:22:26,340 --> 00:22:30,020
+266
+
+339
+00:22:30,020 --> 00:22:36,580
+.6 meters, because 
+
+340
+00:22:36,580 --> 00:22:42,920
+it's on the left and it equals minus 26.6
+
+341
+00:22:42,920 --> 00:22:47,380
+centimeters, so this is the AFL. I want to calculate 
+
+342
+00:22:47,380 --> 00:22:59,660
+the PFL. Posterior Focal Length, PFL. 
+
+343
+00:22:59,660 --> 00:23:03,920
+Posterior
+
+344
+00:23:03,920 --> 00:23:09,320
+Focal Length is equal to NI divided
+
+345
+00:23:09,320 --> 00:23:14,960
+by the power. NI1 because behind the lens is air
+
+346
+00:23:14,960 --> 00:23:17,880
+divided by plus 5 diopter.
+
+347
+00:23:20,370 --> 00:23:26,770
+و يساوي plus لأنه على اليمين واحد على خمسة اتنين
+
+348
+00:23:26,770 --> 00:23:36,230
+من عشرة متر و يساوي plus عشرين سانتي و يساوي
+
+349
+00:23:36,230 --> 00:23:42,810
+plus عشرين سانتي طيب الان المسافة بين 
+
+350
+00:23:45,560 --> 00:23:50,600
+The distance between the anterior principal point 
+
+351
+00:23:50,600 --> 00:23:55,180
+and anterior nodal point. Or it's the same distance
+
+352
+00:23:55,180 --> 00:23:57,300
+between the posterior principal point and 
+
+353
+00:23:57,300 --> 00:24:03,260
+posterior nodal point. We say the distance. Let's
+
+354
+00:24:03,260 --> 00:24:08,360
+write distance equals 
+
+355
+00:24:11,850 --> 00:24:22,590
+afl minus 26.6 cm plus 
+
+356
+00:24:22,590 --> 00:24:30,630
+20 cm is equal to. Minus six and sixteen centimeters. 
+
+357
+00:24:30,630 --> 00:24:34,470
+Okay, the distance with minus means to the left, 
+
+358
+00:24:34,810 --> 00:24:39,270
+that is, one of the points is displaced by the
+
+359
+00:24:39,270 --> 00:24:44,230
+second to the left. Usually what is displaced. The
+
+360
+00:24:44,230 --> 00:24:47,510
+nodal points are displaced to the left towards the
+
+361
+00:24:47,510 --> 00:24:50,330
+upper middle point in the refractive index. That
+
+362
+00:24:50,330 --> 00:24:52,650
+is, the principal points are fixed in their place 
+
+363
+00:24:52,650 --> 00:24:58,910
+and the nodal points are displaced 6.6 cm to the
+
+364
+00:24:58,910 --> 00:25:03,730
+left 6.6 cm to the left. So this distance, if we say 
+
+365
+00:25:03,730 --> 00:25:05,910
+the distance between the anterior nodal point in 
+
+366
+00:25:05,910 --> 00:25:08,870
+this case and the anterior principal point, we say 
+
+367
+00:25:08,870 --> 00:25:13,400
+6.6 cm. The distance between the posterior nodal
+
+368
+00:25:13,400 --> 00:25:15,800
+point and the posterior principal point is equal 
+
+369
+00:25:15,800 --> 00:25:19,040
+to the distance between the anterior nodal point 
+
+370
+00:25:19,040 --> 00:25:21,240
+and the anterior principal point, which is also 16 
+
+371
+00:25:21,240 --> 00:25:25,360
+centimeters. As we found out in the solution to
+
+372
+00:25:25,360 --> 00:25:29,200
+this problem. Therefore, this distance is
+
+373
+00:25:29,200 --> 00:25:32,320
+calculated by the equation of the distance between
+
+374
+00:25:32,320 --> 00:25:35,200
+the nodal points and the principal points, which 
+
+375
+00:25:35,200 --> 00:25:39,740
+is AFL plus PFL, taking into account the signals. 
+
+376
+00:25:40,040 --> 00:25:43,520
+هنا بتنتهي محاضرتنا ويعطيكم العافية والسلام عليكم
+
+377
+00:25:43,520 --> 00:25:45,460
+ورحمة الله وبركاته
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/buAg3-7OVUo_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/buAg3-7OVUo_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..1b15bb8001455f4636c72bb22f9ed31858e4fb62
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/buAg3-7OVUo_postprocess.srt
@@ -0,0 +1,1508 @@
+1
+00:00:00,690 --> 00:00:03,150
+بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم
+
+2
+00:00:03,150 --> 00:00:07,110
+اليوم موضوعنا في ال Geometric Optics هو ال thick
+
+3
+00:00:07,110 --> 00:00:10,790
+lenses او العدسات السميقة ال thin lens
+
+4
+00:00:10,790 --> 00:00:14,110
+approximation is invalid in some clinical settings
+
+5
+00:00:14,110 --> 00:00:19,270
+for example IOLs اللي ال intraocular lenses are
+
+6
+00:00:19,270 --> 00:00:23,840
+treated as thick lensesThe IOL that is planted
+
+7
+00:00:23,840 --> 00:00:30,180
+usually has a power of plus 18, plus 17, plus 20,
+
+8
+00:00:30,300 --> 00:00:34,700
+plus 22, plus 23, it can be more than that or less
+
+9
+00:00:34,700 --> 00:00:37,440
+than that, but usually it is around 20 diopters
+
+10
+00:00:37,440 --> 00:00:40,700
+plus that is planted inside the eye after the
+
+11
+00:00:40,700 --> 00:00:42,300
+cataract operation and that is why it is treated
+
+12
+00:00:42,300 --> 00:00:48,730
+as thick lensesOf course, thick lenses cannot be
+
+13
+00:00:48,730 --> 00:00:53,050
+used as a thin lens approximation to the thin lens
+
+14
+00:00:53,050 --> 00:00:59,170
+equation Consider a lens of arbitrary thickness,
+
+15
+00:00:59,330 --> 00:01:04,510
+meaning let's assume that we have a lens with a
+
+16
+00:01:04,510 --> 00:01:06,250
+considerable thickness, meaning it has a thickness
+
+17
+00:01:06,250 --> 00:01:12,180
+that is not simple, as shown in the pictureOr as
+
+18
+00:01:12,180 --> 00:01:15,940
+in these drawings, these are types of thick lenses
+
+19
+00:01:15,940 --> 00:01:20,660
+such as bi-convex, plano-plano-convex or positive
+
+20
+00:01:20,660 --> 00:01:23,880
+meniscus Also we have negative thick lenses,
+
+21
+00:01:24,520 --> 00:01:28,740
+negative meniscus, plano-concave and bi-concave
+
+22
+00:01:28,740 --> 00:01:31,860
+These are all thick lenses or types of thick
+
+23
+00:01:31,860 --> 00:01:35,740
+lenses We need to know or consider that we have a
+
+24
+00:01:35,740 --> 00:01:40,180
+kind of thick lensThe combined power of a thick
+
+25
+00:01:40,180 --> 00:01:44,420
+lens is not simply the sum of individual service
+
+26
+00:01:44,420 --> 00:01:47,740
+powers يعني بنقولش في حالة ما يكون عندنا thick
+
+27
+00:01:47,740 --> 00:01:53,360
+lens أنه قوة العدسة تساوي قوة السطح الأمامي زائد
+
+28
+00:01:53,360 --> 00:01:54,780
+قوة السطح الخالفي
+
+29
+00:01:57,400 --> 00:02:02,180
+وإنما it includes divergence exchange on transfer
+
+30
+00:02:02,180 --> 00:02:05,900
+يعني ال divergence تغير ال divergence الحالة
+
+31
+00:02:05,900 --> 00:02:11,740
+التشتتية للضوء من السطح الأمامي للعدسة للسطح
+
+32
+00:02:11,740 --> 00:02:16,360
+الخلفي للعدسة في حالة ال thick lens مابنقدرش نهم
+
+33
+00:02:16,360 --> 00:02:21,640
+اللي هو هياخد جزء من قوة العدسة فقوة العدسة هتوزع
+
+34
+00:02:21,640 --> 00:02:26,980
+في ال thick lenses على تلت أقسامقوة للسطح الأمامي
+
+35
+00:02:26,980 --> 00:02:33,700
+وقوة للسطح الخالفي وقوة لتغيير الحالة التشتتية
+
+36
+00:02:33,700 --> 00:02:38,100
+داخل العدسة تغيير الحالة التشتتية داخل العدسة إذا
+
+37
+00:02:38,100 --> 00:02:41,660
+ال P تعالي front ال power of the first lens
+
+38
+00:02:41,660 --> 00:02:46,480
+service أو front lens serviceThe power of the
+
+39
+00:02:46,480 --> 00:02:50,400
+back, P back, the power of the second lens service
+
+40
+00:02:50,400 --> 00:02:54,580
+or the back service of the lens, and the power of
+
+41
+00:02:54,580 --> 00:02:58,000
+the BT, which is the power of the transfer. So how
+
+42
+00:02:58,000 --> 00:03:00,460
+do I calculate how much consumption of the power
+
+43
+00:03:00,460 --> 00:03:04,490
+of the lensto change the refractive state of light
+
+44
+00:03:04,490 --> 00:03:08,070
+inside the lens inside the thickness of the lens
+
+45
+00:03:08,070 --> 00:03:12,770
+first of all, to know the total force of the lens
+
+46
+00:03:12,770 --> 00:03:15,870
+which knows the force of its front surface and the
+
+47
+00:03:15,870 --> 00:03:17,750
+force of its back surface of course I have this
+
+48
+00:03:17,750 --> 00:03:22,230
+thick lens I must first see how much of the force
+
+49
+00:03:22,230 --> 00:03:26,510
+of the lens has changed the refractive state
+
+50
+00:03:26,510 --> 00:03:32,160
+inside this lens the equationYou say, first of
+
+51
+00:03:32,160 --> 00:03:35,340
+all, the power of the transfer is only part of the
+
+52
+00:03:35,340 --> 00:03:39,640
+lens or part of the force of the lens that works
+
+53
+00:03:39,640 --> 00:03:43,240
+inside the lens to change the oscillation state to
+
+54
+00:03:43,240 --> 00:03:46,940
+calculate it, it is calculated as follows minus T
+
+55
+00:03:46,940 --> 00:03:51,680
+over NL in the P of the front in the P of the back
+
+56
+00:03:51,680 --> 00:03:55,020
+What is meant by T? The thickness The lens
+
+57
+00:03:55,020 --> 00:03:59,200
+thickness, of course, the equation is minus T over
+
+58
+00:03:59,200 --> 00:04:00,240
+NL
+
+59
+00:04:02,960 --> 00:04:08,480
+The T is lens thickness and N is index of
+
+60
+00:04:08,480 --> 00:04:18,680
+refraction of lensthe power of the front plus the
+
+61
+00:04:18,680 --> 00:04:23,740
+power of the back minus the power of the transfer
+
+62
+00:04:23,740 --> 00:04:27,980
+minus T over NL plus the power of the front plus
+
+63
+00:04:27,980 --> 00:04:32,390
+the power of the backthis is the quantity that I
+
+64
+00:04:32,390 --> 00:04:35,730
+want to compensate in this equation in the thin
+
+65
+00:04:35,730 --> 00:04:39,090
+lens we said that the power is equal to the power
+
+66
+00:04:39,090 --> 00:04:42,430
+of the front plus the power of the back service
+
+67
+00:04:42,430 --> 00:04:46,950
+and the power of the transfer we neglected it
+
+68
+00:04:46,950 --> 00:04:51,330
+because it is very insignificant so from the
+
+69
+00:04:51,330 --> 00:04:53,330
+approximation we said that the thin lens
+
+70
+00:04:53,330 --> 00:04:57,230
+approximation is the power of the lensThe power of
+
+71
+00:04:57,230 --> 00:04:59,330
+the front surface is equal to the power of the
+
+72
+00:04:59,330 --> 00:05:03,930
+back surface The power
+
+73
+00:05:03,930 --> 00:05:07,650
+of the thick lens is equal to the power of the
+
+74
+00:05:07,650 --> 00:05:11,310
+front surfaceplus the power of the back plus what
+
+75
+00:05:11,310 --> 00:05:15,170
+is lost from the power of the lens or what is used
+
+76
+00:05:15,170 --> 00:05:17,030
+from the power of the lens to change the
+
+77
+00:05:17,030 --> 00:05:20,490
+fluctuating state of the light inside this lens
+
+78
+00:05:20,490 --> 00:05:23,090
+inside this lens because the light cuts a distance
+
+79
+00:05:23,090 --> 00:05:26,550
+and we know that the divergence of the fluctuating
+
+80
+00:05:26,550 --> 00:05:29,210
+state changes with the change of the distance
+
+81
+00:05:29,210 --> 00:05:32,290
+changes with the change of the distance so it
+
+82
+00:05:32,290 --> 00:05:36,290
+reduces the power of the thick lensequal to the
+
+83
+00:05:36,290 --> 00:05:39,610
+power of the front plus the power of the back plus
+
+84
+00:05:39,610 --> 00:05:42,550
+the power of the transfer this power of the
+
+85
+00:05:42,550 --> 00:05:45,430
+transfer is calculated by the high equation minus
+
+86
+00:05:45,430 --> 00:05:49,130
+T over NL in the power of the front in the power
+
+87
+00:05:49,130 --> 00:05:52,330
+of the back now we want to remove from the high
+
+88
+00:05:52,330 --> 00:05:57,310
+equation the Pt and get rid of it by its value in
+
+89
+00:05:57,310 --> 00:05:59,770
+equation number two that is, we take from equation
+
+90
+00:05:59,770 --> 00:06:03,090
+number two and put in equation number one to the
+
+91
+00:06:03,090 --> 00:06:06,550
+power of the transferthis value we want to remove
+
+92
+00:06:06,550 --> 00:06:08,910
+the power of the transfer and put it somewhere so
+
+93
+00:06:08,910 --> 00:06:12,710
+I delete the total power of the thick lens equals
+
+94
+00:06:12,710 --> 00:06:16,310
+the power of the front plus the power of the back
+
+95
+00:06:16,310 --> 00:06:21,710
+service minus T over NL in PF in PP what is this
+
+96
+00:06:21,710 --> 00:06:25,030
+value? this is the power of the transfer the power
+
+97
+00:06:25,030 --> 00:06:32,210
+of the wind power of the front and back are in
+
+98
+00:06:32,210 --> 00:06:38,230
+dioptersis in centimeters. The powers of the front
+
+99
+00:06:38,230 --> 00:06:43,690
+and back surfaces are calculated by the diopters.
+
+100
+00:06:44,910 --> 00:06:48,110
+Let's take an example of that. Let's say we have a
+
+101
+00:06:48,110 --> 00:06:56,050
+thick lens. The front surface is 5 diopters and
+
+102
+00:06:56,050 --> 00:07:00,010
+the back surface is 10 diopters. The thickness of
+
+103
+00:07:00,010 --> 00:07:03,570
+the lens is 1 centimeter.The refractive index is 1
+
+104
+00:07:03,570 --> 00:07:11,410
+.5, which means I have a thick lens and
+
+105
+00:07:11,410 --> 00:07:14,350
+this is the optical axis.
+
+106
+00:07:19,630 --> 00:07:23,210
+The front surface has a force of 5 diopters plus 5
+
+107
+00:07:34,000 --> 00:07:39,420
+والسطح الخالفي plus 10 إيش اللي بيحدد قوة السطح
+
+108
+00:07:39,420 --> 00:07:43,940
+الأمامي وقوة السطح الخالفي؟ التشتت تعدو اللي جاي
+
+109
+00:07:43,940 --> 00:07:48,740
+من ال object التشتت تعدو اللي جاي من ال object إذا
+
+110
+00:07:48,740 --> 00:07:52,400
+كانوا minus 5 إذا قوة السطح الأمامي بتكون plus 5
+
+111
+00:07:52,400 --> 00:07:56,800
+إذا كانوا minus 7 هيكون قوة السطح الأمامي plus 7
+
+112
+00:07:56,800 --> 00:08:01,160
+إذا كانوا minus 10 هيكون قوة السطح الأمامي plus 10
+
+113
+00:08:01,660 --> 00:08:05,200
+It will remain from the power of the lens if it
+
+114
+00:08:05,200 --> 00:08:08,260
+does not remain or if it remains with minus to the
+
+115
+00:08:08,260 --> 00:08:10,180
+back surface So what determines the strength of
+
+116
+00:08:10,180 --> 00:08:14,580
+the surfaces is the refractive state of the light
+
+117
+00:08:14,580 --> 00:08:19,300
+Now I have a lens whose strength is the front
+
+118
+00:08:19,300 --> 00:08:22,320
+surface plus five diopters The back surface is ten
+
+119
+00:08:22,320 --> 00:08:26,680
+diopters The thickness is one centimeter, one
+
+120
+00:08:26,680 --> 00:08:35,580
+centimeterThe thickness of the lens is 1 cm from
+
+121
+00:08:35,580 --> 00:08:38,240
+the front surface of the lens to the back surface
+
+122
+00:08:38,240 --> 00:08:42,420
+of the lens, which is considered a thick lens The
+
+123
+00:08:42,420 --> 00:08:48,280
+refractive index of the glass is 1.5 We want to
+
+124
+00:08:48,280 --> 00:08:51,960
+calculate its final force, which is calculated by
+
+125
+00:08:51,960 --> 00:08:53,120
+the following equation
+
+126
+00:08:59,510 --> 00:09:02,830
+We bring the equation and say that the power of
+
+127
+00:09:02,830 --> 00:09:10,920
+transfer is negative T over NLMinus T over NL in
+
+128
+00:09:10,920 --> 00:09:13,700
+the power of the front in the power of the back
+
+129
+00:09:13,700 --> 00:09:16,180
+Note that we are still only calculating the power
+
+130
+00:09:16,180 --> 00:09:19,360
+of the transfer That is, the amount of the power
+
+131
+00:09:19,360 --> 00:09:22,520
+of the lens that will be consumed to change the
+
+132
+00:09:22,520 --> 00:09:25,180
+polarity of the light inside the lens We have not
+
+133
+00:09:25,180 --> 00:09:29,140
+yet calculated the total power of the lens yet The
+
+134
+00:09:29,140 --> 00:09:32,370
+power of the transfer is equal to minus Tthe
+
+135
+00:09:32,370 --> 00:09:35,590
+thickness on NL which is the refractive index of
+
+136
+00:09:35,590 --> 00:09:38,370
+the lens in the power of the front in the power of
+
+137
+00:09:38,370 --> 00:09:44,130
+the back and
+
+138
+00:09:44,130 --> 00:09:49,610
+it equals the thickness minus T will minus one of
+
+139
+00:09:49,610 --> 00:09:53,210
+one hundred meters which is one centimeter on the
+
+140
+00:09:53,210 --> 00:09:57,010
+refractive index one and a half in the power of
+
+141
+00:09:57,010 --> 00:09:59,090
+the front which is five diopters
+
+142
+00:10:02,390 --> 00:10:05,110
+In the power of the bag which is 10, this is
+
+143
+00:10:05,110 --> 00:10:11,070
+possible Okay, now We
+
+144
+00:10:11,070 --> 00:10:16,940
+want to multiply 1 by 100 by 5 by 10Why? Because
+
+145
+00:10:16,940 --> 00:10:19,320
+this is in the base multiplied by this number
+
+146
+00:10:19,320 --> 00:10:21,240
+multiplied by this number 10 multiplied by 5 is
+
+147
+00:10:21,240 --> 00:10:24,040
+equal to 50 10 multiplied by 5 is equal to 50
+
+148
+00:10:24,040 --> 00:10:26,940
+multiplied by 1 out of 100 is equal to half
+
+149
+00:10:26,940 --> 00:10:29,700
+multiplied by 1 out of 100 is equal to half and
+
+150
+00:10:29,700 --> 00:10:32,400
+the minus sign is not forgotten we do not forget
+
+151
+00:10:32,400 --> 00:10:39,940
+the minus sign so half here I put the diopter I
+
+152
+00:10:39,940 --> 00:10:42,240
+will say why I put the diopter on one and a half
+
+153
+00:10:42,240 --> 00:10:45,460
+okay why did I put the diopter let's say as
+
+154
+00:10:45,460 --> 00:10:45,780
+follows
+
+155
+00:10:49,200 --> 00:10:51,940
+We have here the first sign 1 out of 100 meters
+
+156
+00:10:51,940 --> 00:10:56,580
+When you type in the diopter The first one in D
+
+157
+00:10:56,580 --> 00:11:00,500
+which is meter minus one There is also meter minus
+
+158
+00:11:00,500 --> 00:11:05,300
+one Because I have a diopter here and I have a
+
+159
+00:11:05,300 --> 00:11:08,560
+diopter here When we say meter in meter minus one
+
+160
+00:11:08,560 --> 00:11:13,670
+in a rowone meter square minus one meter square
+
+161
+00:11:13,670 --> 00:11:17,110
+minus one meter square minus one meter square
+
+162
+00:11:17,110 --> 00:11:21,450
+minus one meter square minus one meter square
+
+163
+00:11:21,450 --> 00:11:22,210
+minus one meter square minus one meter square
+
+164
+00:11:22,210 --> 00:11:22,390
+minus one meter square minus one meter square
+
+165
+00:11:22,390 --> 00:11:24,430
+minus one meter square minus one meter square
+
+166
+00:11:24,430 --> 00:11:26,770
+minus one meter square minus one meter square
+
+167
+00:11:26,770 --> 00:11:26,790
+minus one meter square minus one meter square
+
+168
+00:11:26,790 --> 00:11:27,390
+minus one meter square minus one meter square
+
+169
+00:11:27,390 --> 00:11:30,010
+minus one meter square minus one meter square
+
+170
+00:11:30,010 --> 00:11:35,930
+minus one meter square minus one meter square
+
+171
+00:11:35,930 --> 00:11:36,210
+minus one meter square minus one meter square
+
+172
+00:11:36,210 --> 00:11:36,250
+minus one meter square minus one meter square
+
+173
+00:11:36,250 --> 00:11:36,270
+minus one meter square minus one meter square
+
+174
+00:11:36,270 --> 00:11:41,120
+minusMinus one third of the diopter So the total
+
+175
+00:11:41,120 --> 00:11:48,580
+power of the lens will be calculated as usual The
+
+176
+00:11:48,580 --> 00:11:53,640
+total power of the thick lens is equal to the
+
+177
+00:11:53,640 --> 00:12:02,400
+power of the front plus the power of the back plus
+
+178
+00:12:02,400 --> 00:12:06,900
+the power of the transfer It is equal to
+
+179
+00:12:10,160 --> 00:12:14,300
+the power of the front plus 5 diopters plus the
+
+180
+00:12:14,300 --> 00:12:18,880
+power of the back plus 10 diopters plus the power
+
+181
+00:12:18,880 --> 00:12:22,160
+of the transfer minus one third of the diopters
+
+182
+00:12:22,160 --> 00:12:29,880
+minus 0.33 diopters it equals
+
+183
+00:12:38,920 --> 00:12:43,320
+14 plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+184
+00:12:43,320 --> 00:12:46,240
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+185
+00:12:46,240 --> 00:12:46,620
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+186
+00:12:46,620 --> 00:12:47,500
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+187
+00:12:47,500 --> 00:12:50,020
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+188
+00:12:50,020 --> 00:12:50,380
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+189
+00:12:50,380 --> 00:12:51,640
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+190
+00:12:51,640 --> 00:12:52,080
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+191
+00:12:52,080 --> 00:12:52,940
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+192
+00:12:52,940 --> 00:12:53,020
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+193
+00:12:53,020 --> 00:12:53,600
+plus 14 plus 14 plus 14 plus 14 plus 14 plus 14
+
+194
+00:12:53,600 --> 00:12:55,340
+plus 14 plus 14 plus 14 plusThe front surface has
+
+195
+00:12:55,340 --> 00:12:57,380
+a force of 5 and the back surface has a force of
+
+196
+00:12:57,380 --> 00:13:00,560
+10 diopters. It is supposed to have a total force
+
+197
+00:13:00,560 --> 00:13:04,240
+of 15 diopters, but because it is a thick lens,
+
+198
+00:13:04,820 --> 00:13:06,940
+three diopters were consumed in the thickness of
+
+199
+00:13:06,940 --> 00:13:12,290
+the lens, resulting in 14.7 of 10 diopters.لو قلنا
+
+200
+00:13:12,290 --> 00:13:17,150
+إنه في عنا عدسة مشابهة قوتها الأمامية plus 5
+
+201
+00:13:17,150 --> 00:13:23,250
+ديوبتر و قوتها الخلفية plus 10 ديوبتر و هذه العدسة
+
+202
+00:13:23,250 --> 00:13:28,700
+thin limbs كان قوتها plus 15 ديوبتر إذا العدسةThe
+
+203
+00:13:28,700 --> 00:13:32,440
+thin lens, which has the same characteristics of
+
+204
+00:13:32,440 --> 00:13:34,940
+the thick lens in the strength of the front and
+
+205
+00:13:34,940 --> 00:13:37,620
+rear surface, is considered stronger than the
+
+206
+00:13:37,620 --> 00:13:40,400
+thick lens. That is, if I have a lens with the
+
+207
+00:13:40,400 --> 00:13:42,660
+same characteristics, but not a thick lens, but a
+
+208
+00:13:42,660 --> 00:13:44,880
+thin lens, what does it mean by the same
+
+209
+00:13:44,880 --> 00:13:47,000
+characteristics? That is, plus five diopters on
+
+210
+00:13:47,000 --> 00:13:50,630
+the front surface and plus ten diopterson the back
+
+211
+00:13:50,630 --> 00:13:55,370
+of the lens but a thin lens will have a force of
+
+212
+00:13:55,370 --> 00:14:01,370
+15 diopters and a force of 14.7 diopters so the
+
+213
+00:14:01,370 --> 00:14:04,610
+thickness of the lens takes a little of its force
+
+214
+00:14:04,610 --> 00:14:07,970
+the thickness of the lens takes a little of its
+
+215
+00:14:07,970 --> 00:14:11,370
+force let's
+
+216
+00:14:11,370 --> 00:14:15,720
+come to the second topic which is focal lengthThe
+
+217
+00:14:15,720 --> 00:14:18,940
+focal length for any optical system, the distance
+
+218
+00:14:18,940 --> 00:14:22,300
+from the anterior principal point to the anterior
+
+219
+00:14:22,300 --> 00:14:26,280
+focal point is the anterior focal length And in
+
+220
+00:14:26,280 --> 00:14:29,220
+the same way, the posterior focal length is the
+
+221
+00:14:29,220 --> 00:14:31,860
+distance between the posterior principal point and
+
+222
+00:14:31,860 --> 00:14:36,000
+the posterior focal point Let's go back to the
+
+223
+00:14:36,000 --> 00:14:44,040
+previous lecture From the anterior principal point
+
+224
+00:14:44,700 --> 00:14:47,780
+For anterior focal point, from anterior principal
+
+225
+00:14:47,780 --> 00:14:51,080
+point to anterior focal point, this is considered
+
+226
+00:14:51,080 --> 00:14:55,440
+anterior focal lengthAnd from the posterior
+
+227
+00:14:55,440 --> 00:14:58,880
+principal point to the posterior focal point, this
+
+228
+00:14:58,880 --> 00:15:04,600
+is considered the posterior focal length There is
+
+229
+00:15:04,600 --> 00:15:07,260
+a difference between the anterior focus and the
+
+230
+00:15:07,260 --> 00:15:10,780
+anterior focal length And the posterior focus and
+
+231
+00:15:10,780 --> 00:15:14,300
+the posterior focal length The anterior focus is
+
+232
+00:15:14,300 --> 00:15:17,100
+the same point in front of the eye, while the
+
+233
+00:15:17,100 --> 00:15:19,400
+anterior focal length is the front of the eye
+
+234
+00:15:20,430 --> 00:15:23,430
+Posterior focus is the high point, and posterior
+
+235
+00:15:23,430 --> 00:15:27,930
+focal length is the distance from the posterior
+
+236
+00:15:27,930 --> 00:15:30,450
+principal point, from the posterior principal
+
+237
+00:15:30,450 --> 00:15:35,810
+point, maybe there is a colored line from the
+
+238
+00:15:35,810 --> 00:15:37,570
+anterior principal point
+
+239
+00:15:40,140 --> 00:15:44,320
+Posterior focal length from anterior principal
+
+240
+00:15:44,320 --> 00:15:47,020
+point to posterior focal point
+
+241
+00:15:54,430 --> 00:15:57,770
+Whether for one lens or for a system of lenses,
+
+242
+00:15:58,390 --> 00:16:01,630
+the anterior focal length is on the left, so its
+
+243
+00:16:01,630 --> 00:16:04,150
+sign is minus, this distance is given a minus
+
+244
+00:16:04,150 --> 00:16:06,370
+sign, the anterior focal length in front is given
+
+245
+00:16:06,370 --> 00:16:09,090
+a minus sign, and the anterior focal length behind
+
+246
+00:16:09,090 --> 00:16:11,330
+is given a plus sign
+
+247
+00:16:21,920 --> 00:16:24,720
+Following the sign convention, focal lengths are
+
+248
+00:16:24,720 --> 00:16:27,580
+negative when the focal point is to the left of
+
+249
+00:16:27,580 --> 00:16:30,640
+the principal point and positive when the focal
+
+250
+00:16:30,640 --> 00:16:36,700
+point is to the right of the principal point. على
+
+251
+00:16:36,700 --> 00:16:41,900
+سبيل المثال في عندي thin lens مقدار قوتها خمسة
+
+252
+00:16:41,900 --> 00:16:46,820
+ديوبتر in air has anterior focal length ناقص عشرين
+
+253
+00:16:46,820 --> 00:16:51,230
+سانتي و posterior focal length plus عشرين سانتيHow
+
+254
+00:16:51,230 --> 00:16:54,910
+do we get anterior focal length? We divide
+
+255
+00:16:54,910 --> 00:16:58,170
+refractive index of the media which has the object
+
+256
+00:16:58,170 --> 00:17:02,090
+by power. If refractive index is 1, then it is 1
+
+257
+00:17:02,090 --> 00:17:06,030
+by power plus 5 diopters. Why do we have minus
+
+258
+00:17:06,030 --> 00:17:09,310
+sign? Because anterior focal length is on the
+
+259
+00:17:09,310 --> 00:17:14,240
+left. Here, posterior focal lengthThe equation is
+
+260
+00:17:14,240 --> 00:17:18,780
+nI over power, n is the media that contains air,
+
+261
+00:17:18,960 --> 00:17:20,960
+of course also the media that contains the image,
+
+262
+00:17:21,480 --> 00:17:25,060
+which is air is also 1 over power 25 centimeters.
+
+263
+00:17:25,100 --> 00:17:28,400
+Why do I give it a plus sign? Because it is on the
+
+264
+00:17:28,400 --> 00:17:30,700
+right of the optical system, on the right of the
+
+265
+00:17:30,700 --> 00:17:34,390
+optical system. So to get the focal lengthI divide
+
+266
+00:17:34,390 --> 00:17:40,790
+the refractive index by the power If I want the
+
+267
+00:17:40,790 --> 00:17:43,250
+anterior focal length, I divide the refractive
+
+268
+00:17:43,250 --> 00:17:48,830
+index by the power of the object And if I want the
+
+269
+00:17:48,830 --> 00:17:51,950
+posterior focal length, I divide the refractive
+
+270
+00:17:51,950 --> 00:18:01,920
+index by the power of the objectfor any
+
+271
+00:18:01,920 --> 00:18:06,380
+optical
+
+272
+00:18:06,380 --> 00:18:09,480
+system, the distance from the anterior principal
+
+273
+00:18:09,480 --> 00:18:14,900
+point to the anterior nodal point is always equal
+
+274
+00:18:14,900 --> 00:18:18,140
+to the distance from the posterior principal point
+
+275
+00:18:18,140 --> 00:18:20,820
+to the posterior nodal pointWe see this in
+
+276
+00:18:20,820 --> 00:18:23,840
+drawing, we say I have anterior nodal point and
+
+277
+00:18:23,840 --> 00:18:27,960
+posterior nodal pointوعندي anterior principal
+
+278
+00:18:27,960 --> 00:18:31,720
+point وعندي posterior principal point انا فصلتهم
+
+279
+00:18:31,720 --> 00:18:34,880
+هنا في الرسمة بس هم أحيانا بيكونوا مطابقين على بعض
+
+280
+00:18:34,880 --> 00:18:37,920
+ممكن ال anterior مع ال anterior ينطبق و ال
+
+281
+00:18:37,920 --> 00:18:40,860
+posterior مع ال posterior ينطبق وممكن الأربعة كلهم
+
+282
+00:18:40,860 --> 00:18:44,960
+ينطبقوا في نقطة واحدة بس بضل انا أتعامل معاهم في
+
+283
+00:18:44,960 --> 00:18:48,540
+أربع نقاط المعادلة او الجملة اللي حكيناها قبل قليل
+
+284
+00:18:48,540 --> 00:18:51,820
+هي قاعدة بتقول المسافة بين ال anterior and nodal
+
+285
+00:18:51,820 --> 00:18:55,830
+pointAnd the anterior principal point means that
+
+286
+00:18:55,830 --> 00:18:58,470
+this distance is always and never equal to the
+
+287
+00:18:58,470 --> 00:19:01,650
+distance between the posterior nodal point and the
+
+288
+00:19:01,650 --> 00:19:05,170
+posterior principal point. So if this distance is
+
+289
+00:19:05,170 --> 00:19:07,350
+three millimeters, this distance must be three
+
+290
+00:19:07,350 --> 00:19:09,610
+millimeters. If this distance is zero, meaning
+
+291
+00:19:09,610 --> 00:19:11,850
+that the two points are adjacent, this distance
+
+292
+00:19:11,850 --> 00:19:14,350
+must be zero. If this distance is centimeters,
+
+293
+00:19:14,510 --> 00:19:17,070
+this distance must be centimeters. So always and
+
+294
+00:19:17,070 --> 00:19:23,120
+never.The distance between anterior nodal point
+
+295
+00:19:23,120 --> 00:19:25,540
+and anterior principal point is equal to the
+
+296
+00:19:25,540 --> 00:19:28,940
+distance between posterior nodal point and
+
+297
+00:19:28,940 --> 00:19:31,880
+posterior principal point This is a very good
+
+298
+00:19:31,880 --> 00:19:35,180
+point. How do I calculate the distance between one
+
+299
+00:19:35,180 --> 00:19:38,790
+of these pairs?Or these two, if I calculate
+
+300
+00:19:38,790 --> 00:19:41,190
+between these two, I know what is the other
+
+301
+00:19:41,190 --> 00:19:43,650
+distance Because always the two distances are
+
+302
+00:19:43,650 --> 00:19:47,350
+equal We say, to calculate the distance, there is
+
+303
+00:19:47,350 --> 00:19:50,270
+a rule The distance is equal to anterior focal
+
+304
+00:19:50,270 --> 00:19:57,310
+length plus posterior focal length For example, we
+
+305
+00:19:57,310 --> 00:20:00,290
+have plus five diopters, of course, all with two
+
+306
+00:20:00,290 --> 00:20:03,370
+signals Anterior focal length and posterior focal
+
+307
+00:20:03,370 --> 00:20:08,180
+length The distance to this systemIt is equal to
+
+308
+00:20:08,180 --> 00:20:11,700
+anterior focal length plus posterior focal length
+
+309
+00:20:11,700 --> 00:20:17,320
+plus five
+
+310
+00:20:17,320 --> 00:20:21,580
+diopters, plus five diopters, plus five diopters,
+
+311
+00:20:21,640 --> 00:20:24,360
+plus five diopters.The anterior focal length is
+
+312
+00:20:24,360 --> 00:20:27,140
+minus twenty centimeters and the posterior focal
+
+313
+00:20:27,140 --> 00:20:29,600
+length is plus twenty centimeters. So the distance
+
+314
+00:20:29,600 --> 00:20:33,800
+between the principal and nodal points between the
+
+315
+00:20:33,800 --> 00:20:36,980
+principal and nodal points is equal to AFL plus
+
+316
+00:20:36,980 --> 00:20:40,400
+PFL minus twenty centimeters plus twenty
+
+317
+00:20:40,400 --> 00:20:43,400
+centimeters is equal to zero. So the nodal points
+
+318
+00:20:43,400 --> 00:20:45,500
+and the principal points overlap.
+
+319
+00:20:48,900 --> 00:20:53,840
+نفرض .. نفرض أنه عندي نفس العدسة plus 5 diopter
+
+320
+00:20:53,840 --> 00:20:59,340
+lens in water in front and air in back بمعنى آخر
+
+321
+00:20:59,340 --> 00:21:03,280
+لو فرضنا أنه عندي water في الأمام وفي الخلف عندي
+
+322
+00:21:03,280 --> 00:21:07,020
+هوا اختلف ال refractive index اختلف ال refractive
+
+323
+00:21:07,020 --> 00:21:10,320
+index يترى المسافة بين ال nodal points و ال
+
+324
+00:21:10,320 --> 00:21:16,040
+principal points جدش تساوي بنقول plus 5 diopter
+
+325
+00:21:16,040 --> 00:21:23,020
+thin lens in waterand one and three tenths in
+
+326
+00:21:23,020 --> 00:21:27,700
+front and air in back the AFL when we divide one
+
+327
+00:21:27,700 --> 00:21:33,320
+and three tenths by plus five we get twenty six
+
+328
+00:21:33,320 --> 00:21:36,240
+centimeters and six tenths in minus because it is
+
+329
+00:21:36,240 --> 00:21:39,000
+on the left while the posterior focal length is
+
+330
+00:21:39,000 --> 00:21:45,800
+twenty centimeters the nodal points we calculate
+
+331
+00:21:45,800 --> 00:21:46,340
+them by calculation
+
+332
+00:21:51,520 --> 00:22:00,000
+we say as follows anterior focal length is equal
+
+333
+00:22:00,000 --> 00:22:10,760
+to NO divided by power is equal to NO which is one
+
+334
+00:22:10,760 --> 00:22:15,240
+and thirteen divided by refractive index of the
+
+335
+00:22:15,240 --> 00:22:17,740
+object or of the medium in which the object is
+
+336
+00:22:17,740 --> 00:22:22,100
+divided by power plus five dioptersand it equals
+
+337
+00:22:22,100 --> 00:22:26,340
+minus
+
+338
+00:22:26,340 --> 00:22:30,020
+266
+
+339
+00:22:30,020 --> 00:22:36,580
+.6 meters because
+
+340
+00:22:36,580 --> 00:22:42,920
+it's on the left and it equals minus 26.6
+
+341
+00:22:42,920 --> 00:22:47,380
+centimeters so this is the AFL I want to calculate
+
+342
+00:22:47,380 --> 00:22:59,660
+the PFLPosterior Focal Length PFL
+
+343
+00:22:59,660 --> 00:23:03,920
+Posterior
+
+344
+00:23:03,920 --> 00:23:09,320
+Focal Length is equal to NI divided
+
+345
+00:23:09,320 --> 00:23:14,960
+by the power NI1 because behind the lens is air
+
+346
+00:23:14,960 --> 00:23:17,880
+divided by plus 5 diopter
+
+347
+00:23:20,370 --> 00:23:26,770
+و يساوي plus لأنه على اليمين واحد على خمسة اتنين
+
+348
+00:23:26,770 --> 00:23:36,230
+من عشرة متر و يساوي plus عشرين سانتي و يساوي
+
+349
+00:23:36,230 --> 00:23:42,810
+plus عشرين سانتي طيب الان المسافة بين
+
+350
+00:23:45,560 --> 00:23:50,600
+The distance between the anterior principal point
+
+351
+00:23:50,600 --> 00:23:55,180
+and anterior nodal point Or it's the same distance
+
+352
+00:23:55,180 --> 00:23:57,300
+between the posterior principal point and
+
+353
+00:23:57,300 --> 00:24:03,260
+posterior nodal point We say the distance Let's
+
+354
+00:24:03,260 --> 00:24:08,360
+write distance equals
+
+355
+00:24:11,850 --> 00:24:22,590
+afl minus 26.6 cm plus
+
+356
+00:24:22,590 --> 00:24:30,630
+20 cm is equal toMinus six and sixteen centimeters
+
+357
+00:24:30,630 --> 00:24:34,470
+Okay, the distance with minus means to the left,
+
+358
+00:24:34,810 --> 00:24:39,270
+that is, one of the points is displaced by the
+
+359
+00:24:39,270 --> 00:24:44,230
+second to the left, usually what is displacedThe
+
+360
+00:24:44,230 --> 00:24:47,510
+nodal points are displaced to the left towards the
+
+361
+00:24:47,510 --> 00:24:50,330
+upper middle point in the refractive index That
+
+362
+00:24:50,330 --> 00:24:52,650
+is, the principal points are fixed in their place
+
+363
+00:24:52,650 --> 00:24:58,910
+and the nodal points are displaced 6.6 cm to the
+
+364
+00:24:58,910 --> 00:25:03,730
+left 6.6 cm to the left So this distance if we say
+
+365
+00:25:03,730 --> 00:25:05,910
+the distance between the anterior nodal point in
+
+366
+00:25:05,910 --> 00:25:08,870
+this case and the anterior principal point we say
+
+367
+00:25:08,870 --> 00:25:13,400
+6.6 cmThe distance between the posterior nodal
+
+368
+00:25:13,400 --> 00:25:15,800
+point and the posterior principal point is equal
+
+369
+00:25:15,800 --> 00:25:19,040
+to the distance between the anterior nodal point
+
+370
+00:25:19,040 --> 00:25:21,240
+and the anterior principal point, which is also 16
+
+371
+00:25:21,240 --> 00:25:25,360
+centimeters. As we found out in the solution to
+
+372
+00:25:25,360 --> 00:25:29,200
+this problem. Therefore, this distance is
+
+373
+00:25:29,200 --> 00:25:32,320
+calculated by the equation of the distance between
+
+374
+00:25:32,320 --> 00:25:35,200
+the nodal points and the principal points, which
+
+375
+00:25:35,200 --> 00:25:39,740
+is AFL plus PFL, taking into account the signals.
+
+376
+00:25:40,040 --> 00:25:43,520
+هنا بتنتهي محاضرتنا ويعطيكم العافية والسلام عليكم
+
+377
+00:25:43,520 --> 00:25:45,460
+ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/cf6NXp2Hrr8.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/cf6NXp2Hrr8.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0472b111a3a5fa9e79b2a8769c66327f27d3eb08
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/cf6NXp2Hrr8.srt
@@ -0,0 +1,791 @@
+
+1
+00:00:01,520 --> 00:00:03,900
+Bismillah ar-Rahman ar-Rahim. We have a question
+
+2
+00:00:03,900 --> 00:00:07,560
+about the spherocylindrical lenses and the conoid
+
+3
+00:00:07,560 --> 00:00:13,110
+of stars. An object stands 25 cm in front of a
+
+4
+00:00:13,110 --> 00:00:18,710
+spherocylindrical lens, its force plus 8 diopter
+
+5
+00:00:18,710 --> 00:00:23,610
+spheres minus 2 cylinders on axis 90. The first
+
+6
+00:00:23,610 --> 00:00:25,490
+thing is where is the first focal line, the second
+
+7
+00:00:25,490 --> 00:00:27,710
+thing is the second focal line, the third thing is
+
+8
+00:00:27,710 --> 00:00:31,050
+the circle of least confusion, the fourth thing is
+
+9
+00:00:31,050 --> 00:00:34,990
+the extension of a conoid of a stern in space.
+
+10
+00:00:38,490 --> 00:00:41,410
+In order to get all these conditions, we need to
+
+11
+00:00:41,410 --> 00:00:43,510
+convert the spherical and cylindrical lens to
+
+12
+00:00:43,510 --> 00:00:49,970
+power across The spherical and cylindrical lens is
+
+13
+00:00:49,970 --> 00:00:53,530
+either a sphere or a cylinder The sphere affects
+
+14
+00:00:53,530 --> 00:01:00,190
+all the axes with the same force This
+
+15
+00:01:00,190 --> 00:01:06,050
+is the sphere here, the first cross, class 8 This
+
+16
+00:01:06,050 --> 00:01:06,770
+is the vertical axis
+
+17
+00:01:12,630 --> 00:01:15,750
+and also plus eight on the horizontal axis.
+
+18
+00:01:19,910 --> 00:01:21,070
+This is the sphere.
+
+19
+00:01:24,390 --> 00:01:27,270
+means the cross of the power cross of the sphere
+
+20
+00:01:27,270 --> 00:01:29,910
+and cylindrical lens you can imagine that it is
+
+21
+00:01:29,910 --> 00:01:33,270
+two cross cross for the sphere and cross for the
+
+22
+00:01:33,270 --> 00:01:37,530
+cylinder I have minus two on the axis of ninety as
+
+23
+00:01:37,530 --> 00:01:40,130
+long as the axis of the minus two cylinder is on
+
+24
+00:01:40,130 --> 00:01:42,990
+the axis of ninety then its effect comes on one
+
+25
+00:01:42,990 --> 00:01:44,970
+hundred and eighty so one hundred and eighty is
+
+26
+00:01:44,970 --> 00:01:51,330
+minus two minus
+
+27
+00:01:51,330 --> 00:01:58,230
+two and 90 will be zero So when I put a cylinder on
+
+28
+00:01:58,230 --> 00:02:00,930
+a certain axis, the force of this cylinder on the
+
+29
+00:02:00,930 --> 00:02:04,190
+same axis that I put on it is zero So here it will
+
+30
+00:02:04,190 --> 00:02:05,090
+be zero
+
+31
+00:02:12,180 --> 00:02:14,720
+I have here cross for the sphere and cross for the
+
+32
+00:02:14,720 --> 00:02:17,480
+cylinder, I combine them and I get the cross that
+
+33
+00:02:17,480 --> 00:02:20,640
+represents the sphere and cylindrical lens I
+
+34
+00:02:20,640 --> 00:02:22,780
+combine the vertical with the vertical, it remains
+
+35
+00:02:22,780 --> 00:02:30,760
+plus 8 It
+
+36
+00:02:30,760 --> 00:02:35,220
+remains plus 8 And
+
+37
+00:02:35,220 --> 00:02:38,020
+the horizontal with the horizontal plus 8 or minus
+
+38
+00:02:38,020 --> 00:02:40,900
+2, it gives me plus 6
+
+39
+00:02:43,970 --> 00:02:52,410
+plus 6 this starts so now in the first step we
+
+40
+00:02:52,410 --> 00:02:58,130
+changed the spherical lens to power cross now the
+
+41
+00:02:58,130 --> 00:03:00,910
+second step deals with each meridian as if it is
+
+42
+00:03:00,910 --> 00:03:04,810
+one lens the strongest meridian which has the
+
+43
+00:03:04,810 --> 00:03:06,810
+strongest power is the one that will secure the
+
+44
+00:03:06,810 --> 00:03:09,690
+first focal line we draw the problem on its own
+
+45
+00:03:18,890 --> 00:03:22,830
+this is the lens which is plus 8 this is the
+
+46
+00:03:22,830 --> 00:03:27,270
+optical axis and
+
+47
+00:03:27,270 --> 00:03:31,970
+this is the body which is 25 cm away as the
+
+48
+00:03:31,970 --> 00:03:41,670
+question says 25 cm away which is
+
+49
+00:03:41,670 --> 00:03:46,010
+quarter of a meter this
+
+50
+00:03:46,010 --> 00:03:48,860
+is the distance which is quarter of a meter  وبنبدأ
+
+51
+00:03:48,860 --> 00:03:58,740
+حل المسألة وكأنها مسألة لوحدها بدون
+
+52
+00:03:58,740 --> 00:04:05,160
+أي لخبطة بطريقة
+
+53
+00:04:05,160 --> 00:04:06,560
+ال vergence calculations
+
+54
+00:04:16,970 --> 00:04:24,390
+طبعا تقسيم الصفحة إلى .. إلى
+
+55
+00:04:24,390 --> 00:04:32,530
+خانات بيساعد على الترتيب U تساوي ناقص N على O و
+
+56
+00:04:32,530 --> 00:04:38,850
+يساوي ناقص واحد على ربع متر دائما في ال vergence
+
+57
+00:04:38,850 --> 00:04:45,590
+calculation بالمتر و يساوي ناقص أربع ديوبتر
+
+58
+00:04:53,300 --> 00:04:56,380
+So, the light will reach the surface of the lens,
+
+59
+00:04:56,540 --> 00:04:59,280
+the spherical lens, which we took from it meridian
+
+60
+00:04:59,280 --> 00:05:03,420
+1, with a frequency of minus 4 diopters.
+
+61
+00:05:07,170 --> 00:05:09,310
+and this speech will be in .. when we deal with
+
+62
+00:05:09,310 --> 00:05:11,290
+the second focal line, there is no need to repeat
+
+63
+00:05:11,290 --> 00:05:14,790
+and say u 9 .. the light will come from the object
+
+64
+00:05:14,790 --> 00:05:18,550
+.. the object for all meridians .. the object for
+
+65
+00:05:18,550 --> 00:05:20,630
+this meridian .. for this .. facing at a distance
+
+66
+00:05:20,630 --> 00:05:22,950
+of 25 centimeters .. it is true that we separated
+
+67
+00:05:22,950 --> 00:05:26,170
+them in the drawing as two lenses .. but always
+
+68
+00:05:26,170 --> 00:05:29,190
+the u here in the example will be minus four ..
+
+69
+00:05:29,190 --> 00:05:40,730
+okay .. u plus p ..تساوى V طيب U قداش minus 4 ده
+
+70
+00:05:40,730 --> 00:05:50,190
+يبطى و ال V و ال power plus 8 يساوى V إذا V تساوى
+
+71
+00:05:50,190 --> 00:05:55,430
+plus 4 ده يبطى as long as the light comes out with
+
+72
+00:05:55,430 --> 00:05:56,950
+a value of V plus four, then the light is
+
+73
+00:05:56,950 --> 00:06:00,310
+collected and forms a real image which is the
+
+74
+00:06:00,310 --> 00:06:06,750
+first focal line I equals unconditional over V
+
+75
+00:06:06,750 --> 00:06:09,990
+equals
+
+76
+00:06:09,990 --> 00:06:18,370
+one over plus four diopters equals plus a quarter
+
+77
+00:06:18,370 --> 00:06:18,830
+of a meter
+
+78
+00:06:25,630 --> 00:06:32,210
+يعني خمسة و عشرين صنطي، إذا المطلوب
+
+79
+00:06:32,210 --> 00:06:40,470
+الأول ال first focal line يساوي
+
+80
+00:06:40,470 --> 00:06:46,510
+خمسة و عشرين صنطي from lens، من ال lens، من ال
+
+81
+00:06:46,510 --> 00:06:48,310
+meridian يعني اللي هو جزء من ال lens
+
+82
+00:06:55,870 --> 00:06:58,310
+so this is the first requirement, the second
+
+83
+00:06:58,310 --> 00:07:02,330
+requirement we
+
+84
+00:07:02,330 --> 00:07:10,610
+go to the second channel and
+
+85
+00:07:10,610 --> 00:07:13,550
+create a new problem, now we take the weakest
+
+86
+00:07:13,550 --> 00:07:16,470
+meridian which is plus 6
+
+87
+00:07:20,770 --> 00:07:24,310
+For plus 6 Of course, I don't want to say U again
+
+88
+00:07:24,310 --> 00:07:26,710
+Because we subtracted minus 4 from U And it will
+
+89
+00:07:26,710 --> 00:07:39,510
+remain minus 4 on all parts of the example The
+
+90
+00:07:39,510 --> 00:07:41,490
+difference in meridian force means that I have to
+
+91
+00:07:41,490 --> 00:07:48,950
+deal with it as if it were a new lens Here
+
+92
+00:07:48,950 --> 00:07:54,950
+we have to change the force instead of 8, we put 6
+
+93
+00:07:54,950 --> 00:07:59,730
+here
+
+94
+00:07:59,730 --> 00:08:03,690
+u is equal to minus 4 diopters I don't need a
+
+95
+00:08:03,690 --> 00:08:05,870
+calculator because I calculated it in the first
+
+96
+00:08:05,870 --> 00:08:14,630
+part now we calculate v we calculate v we
+
+97
+00:08:14,630 --> 00:08:15,950
+need to put a square and a half
+
+98
+00:08:28,020 --> 00:08:34,780
+we say u plus p is equal to v, u minus 4 is
+
+99
+00:08:34,780 --> 00:08:37,300
+greater than 6, but the powers are different, so
+
+100
+00:08:37,300 --> 00:08:45,040
+it becomes 6, which is equal to v, so v is equal
+
+101
+00:08:45,040 --> 00:08:50,120
+to plus 2, which is greater than 6 طالما V تساوي
+
+102
+00:08:50,120 --> 00:08:54,000
+plus 2 diopter، إذا الأشعة متجمعة، هتكونلي صورة
+
+103
+00:08:54,000 --> 00:08:57,320
+حقيقية، اللي هي second focal line I تساوي
+
+104
+00:08:57,320 --> 00:09:07,000
+Uncharted على V، ويساوي واحد على plus 2 diopter،
+
+105
+00:09:07,000 --> 00:09:14,350
+ويساوي plus نص متر، خمسين سنتر So, on the right of
+
+106
+00:09:14,350 --> 00:09:17,930
+the lens of the sphero cylindrical lens of 50 cm,
+
+107
+00:09:18,170 --> 00:09:25,830
+this is the second focal line So, second focal
+
+108
+00:09:25,830 --> 00:09:30,950
+line here
+
+109
+00:09:30,950 --> 00:09:33,070
+on the right and here on the right because the
+
+110
+00:09:33,070 --> 00:09:37,930
+distance is in the plus sign Second focal line is
+
+111
+00:09:37,930 --> 00:09:43,350
+equal to 50 cm to the right of from lens of course
+
+112
+00:09:43,350 --> 00:09:48,010
+from lens it is very important that everything is
+
+113
+00:09:48,010 --> 00:09:50,470
+related to the lens this is the second requirement
+
+114
+00:09:50,470 --> 00:09:54,270
+the third requirement is the circle of least
+
+115
+00:09:54,270 --> 00:09:59,790
+confusion I want to repeat the same problem in the
+
+116
+00:09:59,790 --> 00:10:00,410
+third channel
+
+117
+00:10:12,880 --> 00:10:17,500
+and I want to put the equivalent of the ball and
+
+118
+00:10:17,500 --> 00:10:19,820
+the lens of the sphere which is equivalent to all
+
+119
+00:10:19,820 --> 00:10:22,540
+the meridians together which is the average of
+
+120
+00:10:22,540 --> 00:10:27,900
+their strength also
+
+121
+00:10:27,900 --> 00:10:33,060
+the u here will remain constant minus four and the
+
+122
+00:10:33,060 --> 00:10:35,320
+object is constant wherever it is that's why the u
+
+123
+00:10:35,320 --> 00:10:38,040
+is constant wherever it is in its value
+
+124
+00:10:44,930 --> 00:10:48,070
+What is the spherical component of this spherical
+
+125
+00:10:48,070 --> 00:10:51,050
+lens? I combine the strongest with the weakest
+
+126
+00:10:51,050 --> 00:10:56,350
+meridian, 8 and 6, 14, and I divide them by 2, 14
+
+127
+00:10:56,350 --> 00:11:03,150
+divided by 2, then 7, then 7, then 7 which is the
+
+128
+00:11:03,150 --> 00:11:05,930
+force of the meridian, so this lens is like plus
+
+129
+00:11:05,930 --> 00:11:08,930
+7, plus 7,
+
+130
+00:11:11,570 --> 00:11:15,870
+this is better this is the spherical equivalent
+
+131
+00:11:15,870 --> 00:11:21,830
+this is the spherical equivalent, if I combine the
+
+132
+00:11:21,830 --> 00:11:24,170
+strongest meridian with the weakest meridian with
+
+133
+00:11:24,170 --> 00:11:26,430
+each other 14 and I divide them with their number
+
+134
+00:11:26,430 --> 00:11:29,470
+2, I get 7 if I wanted to take the spherical
+
+135
+00:11:29,470 --> 00:11:32,310
+equivalent from here, half of the cylinder with
+
+136
+00:11:32,310 --> 00:11:36,350
+the sphere half of the cylinder minus 1 plus the
+
+137
+00:11:36,350 --> 00:11:41,010
+sphere 8 minus 1 plus 8 remains plus 7 both ways
+
+138
+00:11:41,010 --> 00:11:46,600
+are allowed if this object is 25 cm away from the
+
+139
+00:11:46,600 --> 00:11:49,120
+spherical equivalent from the spherical lens which
+
+140
+00:11:49,120 --> 00:11:51,820
+is equivalent to the spherical cylinder we say as
+
+141
+00:11:51,820 --> 00:11:54,420
+follows where is the circle of least confusion?
+
+142
+00:12:01,500 --> 00:12:07,560
+we say u plus b equals
+
+143
+00:12:07,560 --> 00:12:16,670
+v u minus four constant minus 4 diopter plus power
+
+144
+00:12:16,670 --> 00:12:27,350
+7 diopter equals V so V equals plus 3 diopter
+
+145
+00:12:27,350 --> 00:12:31,110
+since
+
+146
+00:12:31,110 --> 00:12:34,750
+V equals plus 3 diopter, the rays will come out
+
+147
+00:12:34,750 --> 00:12:39,050
+together we say I equals V
+
+148
+00:12:41,040 --> 00:12:50,100
+ويساوي واحد على plus تلاتة ديوبتر ويساوي plus
+
+149
+00:12:50,100 --> 00:12:56,740
+أفوان plus تلت متر يعني تلتمية و تلاتة و تلتين من
+
+150
+00:12:56,740 --> 00:13:02,320
+الف متر هذا مكان ال circle of least confusion اذا
+
+151
+00:13:02,320 --> 00:13:10,420
+circle of least confusion
+
+152
+00:13:13,910 --> 00:13:21,090
+equal to 33.3 centimeters from lens. Everything is
+
+153
+00:13:21,090 --> 00:13:21,990
+related to the lens.
+
+154
+00:13:24,970 --> 00:13:26,770
+The fourth requirement remains.
+
+155
+00:13:30,570 --> 00:13:34,970
+What is the extension of
+
+156
+00:13:34,970 --> 00:13:39,540
+a conoid of a stern? in space The length of the
+
+157
+00:13:39,540 --> 00:13:41,700
+conoid of Stern between the first focal line and
+
+158
+00:13:41,700 --> 00:13:45,340
+the second focal line The first focal line is 25
+
+159
+00:13:45,340 --> 00:13:48,340
+cm away and the second is 50 cm away, so the
+
+160
+00:13:48,340 --> 00:13:56,080
+length is 25 cm as we will see now We draw the
+
+161
+00:13:56,080 --> 00:13:57,840
+final answer as follows
+
+162
+00:14:12,340 --> 00:14:21,720
+this is the sphero cylindrical lens the
+
+163
+00:14:21,720 --> 00:14:25,780
+most powerful meridian is the vertical meridian it
+
+164
+00:14:25,780 --> 00:14:33,340
+will make a horizontal focal line and
+
+165
+00:14:33,340 --> 00:14:36,040
+the most powerful meridian is 25 cm of course
+
+166
+00:14:40,600 --> 00:14:44,140
+first focal line is 25 cm from the sphere and
+
+167
+00:14:44,140 --> 00:14:49,540
+cylindrical lens and the second focal line which
+
+168
+00:14:49,540 --> 00:14:51,920
+is the horizontal meridian because it is the
+
+169
+00:14:51,920 --> 00:14:59,760
+weakest is 50 cm from the lens
+
+170
+00:15:19,530 --> 00:15:27,030
+The second focal line So
+
+171
+00:15:27,030 --> 00:15:39,690
+the
+
+172
+00:15:39,690 --> 00:15:45,290
+second focal line extends 50
+
+173
+00:15:45,290 --> 00:15:50,380
+cm from the lens as we can see here The face focal
+
+174
+00:15:50,380 --> 00:15:54,600
+line is 25
+
+175
+00:15:54,600 --> 00:15:57,520
+cm away from the lens The extension of the conoid
+
+176
+00:15:57,520 --> 00:16:01,850
+of a start the extension of the conoid of a stern
+
+177
+00:16:01,850 --> 00:16:04,850
+from here from the first focal line to here means
+
+178
+00:16:04,850 --> 00:16:07,290
+fifty I want to subtract twenty-five from them so
+
+179
+00:16:07,290 --> 00:16:09,110
+this distance remains which is twenty-five
+
+180
+00:16:09,110 --> 00:16:11,930
+centimeters so the conoid of a stern extends
+
+181
+00:16:11,930 --> 00:16:15,490
+twenty-five centimeters in space because it is
+
+182
+00:16:15,490 --> 00:16:18,090
+confined between the first focal line and the
+
+183
+00:16:18,090 --> 00:16:20,810
+second focal line this is the conoid of a stern
+
+184
+00:16:20,810 --> 00:16:24,630
+the circle of least confusion is located at thirty
+
+185
+00:16:24,630 --> 00:16:29,250
+-three centimeters the circle of least confusion I
+
+186
+00:16:29,250 --> 00:16:40,030
+will draw it
+
+187
+00:16:40,030 --> 00:16:45,170
+I will
+
+188
+00:16:45,170 --> 00:16:49,630
+give it a color to show that it is the circle of
+
+189
+00:16:49,630 --> 00:16:52,590
+least confusion It is 33.3 cm away from the lens
+
+190
+00:16:58,100 --> 00:17:05,140
+a human can say, if there is a 4th request, but
+
+191
+00:17:05,140 --> 00:17:10,920
+let's say it's 33cm
+
+192
+00:17:10,920 --> 00:17:17,160
+and 3 out of 10 away
+
+193
+00:17:17,160 --> 00:17:22,300
+from
+
+194
+00:17:22,300 --> 00:17:37,760
+the lens It measures 33.3 cm from the lens This
+
+195
+00:17:37,760 --> 00:17:40,260
+is the circle of least confusion dimension
+
+196
+00:17:51,630 --> 00:17:53,950
+Okay, you can ask a question or ask someone to
+
+197
+00:17:53,950 --> 00:17:56,590
+say, is the circle of least confusion closer to
+
+198
+00:17:
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/cf6NXp2Hrr8_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/cf6NXp2Hrr8_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f2d24e57ac84364f144429105f3b03d6543972d9
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/cf6NXp2Hrr8_postprocess.srt
@@ -0,0 +1,876 @@
+1
+00:00:01,520 --> 00:00:03,900
+Bismillah ar-Rahman ar-Rahim. We have a question
+
+2
+00:00:03,900 --> 00:00:07,560
+about the spherocylindrical lenses and the conoid
+
+3
+00:00:07,560 --> 00:00:13,110
+of stars.An object stands 25 cm in front of a
+
+4
+00:00:13,110 --> 00:00:18,710
+spherocylindrical lens, its force plus 8 diopter
+
+5
+00:00:18,710 --> 00:00:23,610
+spheres minus 2 cylinders on axis 90. The first
+
+6
+00:00:23,610 --> 00:00:25,490
+thing is where is the first focal line, the second
+
+7
+00:00:25,490 --> 00:00:27,710
+thing is the second focal line, the third thing is
+
+8
+00:00:27,710 --> 00:00:31,050
+the circle of least confusion, the fourth thing is
+
+9
+00:00:31,050 --> 00:00:34,990
+the extension of a conoid of a stern in space.
+
+10
+00:00:38,490 --> 00:00:41,410
+In order to get all these conditions, we need to
+
+11
+00:00:41,410 --> 00:00:43,510
+convert the spherical and cylindrical lens to
+
+12
+00:00:43,510 --> 00:00:49,970
+power across The spherical and cylindrical lens is
+
+13
+00:00:49,970 --> 00:00:53,530
+either a sphere or a cylinder The sphere affects
+
+14
+00:00:53,530 --> 00:01:00,190
+all the axes with the same force This
+
+15
+00:01:00,190 --> 00:01:06,050
+is the sphere here, the first cross, class 8 This
+
+16
+00:01:06,050 --> 00:01:06,770
+is the vertical axis
+
+17
+00:01:12,630 --> 00:01:15,750
+and also plus eight on the horizontal axis.
+
+18
+00:01:19,910 --> 00:01:21,070
+This is the sphere.
+
+19
+00:01:24,390 --> 00:01:27,270
+means the cross of the power cross of the sphere
+
+20
+00:01:27,270 --> 00:01:29,910
+and cylindrical lens you can imagine that it is
+
+21
+00:01:29,910 --> 00:01:33,270
+two cross cross for the sphere and cross for the
+
+22
+00:01:33,270 --> 00:01:37,530
+cylinder I have minus two on the axis of ninety as
+
+23
+00:01:37,530 --> 00:01:40,130
+long as the axis of the minus two cylinder is on
+
+24
+00:01:40,130 --> 00:01:42,990
+the axis of ninety then its effect comes on one
+
+25
+00:01:42,990 --> 00:01:44,970
+hundred and eighty so one hundred and eighty is
+
+26
+00:01:44,970 --> 00:01:51,330
+minus two minus
+
+27
+00:01:51,330 --> 00:01:58,230
+twoand 90 will be zero So when I put a cylinder on
+
+28
+00:01:58,230 --> 00:02:00,930
+a certain axis, the force of this cylinder on the
+
+29
+00:02:00,930 --> 00:02:04,190
+same axis that I put on it is zero So here it will
+
+30
+00:02:04,190 --> 00:02:05,090
+be zero
+
+31
+00:02:12,180 --> 00:02:14,720
+I have here cross for the sphere and cross for the
+
+32
+00:02:14,720 --> 00:02:17,480
+cylinder, I combine them and I get the cross that
+
+33
+00:02:17,480 --> 00:02:20,640
+represents the sphere and cylindrical lens I
+
+34
+00:02:20,640 --> 00:02:22,780
+combine the vertical with the vertical, it remains
+
+35
+00:02:22,780 --> 00:02:30,760
+plus 8 It
+
+36
+00:02:30,760 --> 00:02:35,220
+remains plus 8 And
+
+37
+00:02:35,220 --> 00:02:38,020
+the horizontal with the horizontal plus 8 or minus
+
+38
+00:02:38,020 --> 00:02:40,900
+2, it gives me plus 6
+
+39
+00:02:43,970 --> 00:02:52,410
+plus 6 this starts so now in the first step we
+
+40
+00:02:52,410 --> 00:02:58,130
+changed the spherical lens to power cross now the
+
+41
+00:02:58,130 --> 00:03:00,910
+second step deals with each meridian as if it is
+
+42
+00:03:00,910 --> 00:03:04,810
+one lens the strongest meridian which has the
+
+43
+00:03:04,810 --> 00:03:06,810
+strongest power is the one that will secure the
+
+44
+00:03:06,810 --> 00:03:09,690
+first focal line we draw the problem on its own
+
+45
+00:03:18,890 --> 00:03:22,830
+this is the lens which is plus 8 this is the
+
+46
+00:03:22,830 --> 00:03:27,270
+optical axis and
+
+47
+00:03:27,270 --> 00:03:31,970
+this is the body which is 25 cm away as the
+
+48
+00:03:31,970 --> 00:03:41,670
+question says 25 cm away which is
+
+49
+00:03:41,670 --> 00:03:46,010
+quarter of a meter this
+
+50
+00:03:46,010 --> 00:03:48,860
+is the distance which is quarter of a meterوبنبدأ
+
+51
+00:03:48,860 --> 00:03:58,740
+حل المسألة وكأنها مسألة لوحدها بدون
+
+52
+00:03:58,740 --> 00:04:05,160
+أي لخبطة بطريقة
+
+53
+00:04:05,160 --> 00:04:06,560
+الvergence calculations
+
+54
+00:04:16,970 --> 00:04:24,390
+طبعا تقسيم الصفحة إلى .. إلى
+
+55
+00:04:24,390 --> 00:04:32,530
+خانات بيساعد على الترتيب U تساوي ناقص N على O و
+
+56
+00:04:32,530 --> 00:04:38,850
+يساوي ناقص واحد على ربع متر دائما في الvergence
+
+57
+00:04:38,850 --> 00:04:45,590
+calculation بالمتر و يساوي ناقص أربع ديوبتر
+
+58
+00:04:53,300 --> 00:04:56,380
+So, the light will reach the surface of the lens,
+
+59
+00:04:56,540 --> 00:04:59,280
+the spherical lens, which we took from it meridian
+
+60
+00:04:59,280 --> 00:05:03,420
+1, with a frequency of minus 4 diopters.
+
+61
+00:05:07,170 --> 00:05:09,310
+and this speech will be in .. when we deal with
+
+62
+00:05:09,310 --> 00:05:11,290
+the second focal line, there is no need to repeat
+
+63
+00:05:11,290 --> 00:05:14,790
+and say u 9 .. the light will come from the object
+
+64
+00:05:14,790 --> 00:05:18,550
+.. the object for all meridians .. the object for
+
+65
+00:05:18,550 --> 00:05:20,630
+this meridian .. for this .. facing at a distance
+
+66
+00:05:20,630 --> 00:05:22,950
+of 25 centimeters .. it is true that we separated
+
+67
+00:05:22,950 --> 00:05:26,170
+them in the drawing as two lenses .. but always
+
+68
+00:05:26,170 --> 00:05:29,190
+the u here in the example will be minus four ..
+
+69
+00:05:29,190 --> 00:05:40,730
+okay .. u plus p ..تساوى V طيب U قداش minus 4 ده
+
+70
+00:05:40,730 --> 00:05:50,190
+يبطى و ال V و ال power plus 8 يساوى V إذا V تساوى
+
+71
+00:05:50,190 --> 00:05:55,430
+plus 4 ده يبطىas long as the light comes out with
+
+72
+00:05:55,430 --> 00:05:56,950
+a value of V plus four, then the light is
+
+73
+00:05:56,950 --> 00:06:00,310
+collected and forms a real image which is the
+
+74
+00:06:00,310 --> 00:06:06,750
+first focal line I equals unconditional over V
+
+75
+00:06:06,750 --> 00:06:09,990
+equals
+
+76
+00:06:09,990 --> 00:06:18,370
+one over plus four diopters equals plus a quarter
+
+77
+00:06:18,370 --> 00:06:18,830
+of a meter
+
+78
+00:06:25,630 --> 00:06:32,210
+يعني خمسة و عشرين صنطي، إذا المطلوب
+
+79
+00:06:32,210 --> 00:06:40,470
+الأول ال first focal line يساوي
+
+80
+00:06:40,470 --> 00:06:46,510
+خمسة و عشرين صنطي from lens، من ال lens، من ال
+
+81
+00:06:46,510 --> 00:06:48,310
+meridian يعني اللي هو جزء من ال lens
+
+82
+00:06:55,870 --> 00:06:58,310
+so this is the first requirement, the second
+
+83
+00:06:58,310 --> 00:07:02,330
+requirement we
+
+84
+00:07:02,330 --> 00:07:10,610
+go to the second channel and
+
+85
+00:07:10,610 --> 00:07:13,550
+create a new problem, now we take the weakest
+
+86
+00:07:13,550 --> 00:07:16,470
+meridian which is plus 6
+
+87
+00:07:20,770 --> 00:07:24,310
+For plus 6 Of course, I don't want to say U again
+
+88
+00:07:24,310 --> 00:07:26,710
+Because we subtracted minus 4 from U And it will
+
+89
+00:07:26,710 --> 00:07:39,510
+remain minus 4 on all parts of the example The
+
+90
+00:07:39,510 --> 00:07:41,490
+difference in meridian force means that I have to
+
+91
+00:07:41,490 --> 00:07:48,950
+deal with it as if it were a new lens Here
+
+92
+00:07:48,950 --> 00:07:54,950
+we have to change the forceinstead of 8, we put 6
+
+93
+00:07:54,950 --> 00:07:59,730
+here
+
+94
+00:07:59,730 --> 00:08:03,690
+u is equal to minus 4 diopters I don't need a
+
+95
+00:08:03,690 --> 00:08:05,870
+calculator because I calculated it in the first
+
+96
+00:08:05,870 --> 00:08:14,630
+part now we calculate v we calculate v we
+
+97
+00:08:14,630 --> 00:08:15,950
+need to put a square and a half
+
+98
+00:08:28,020 --> 00:08:34,780
+we say u plus p is equal to v, u minus 4 is
+
+99
+00:08:34,780 --> 00:08:37,300
+greater than 6, but the powers are different, so
+
+100
+00:08:37,300 --> 00:08:45,040
+it becomes 6, which is equal to v, so v is equal
+
+101
+00:08:45,040 --> 00:08:50,120
+to plus 2, which is greater than 6طالما V تساوي
+
+102
+00:08:50,120 --> 00:08:54,000
+plus 2 diopter، إذا الأشعة متجمعة، هتكونلي صورة
+
+103
+00:08:54,000 --> 00:08:57,320
+حقيقية، اللي هي second focal line I تساوي
+
+104
+00:08:57,320 --> 00:09:07,000
+Uncharted على V، ويساوي واحد على plus 2 diopter،
+
+105
+00:09:07,000 --> 00:09:14,350
+ويساوي plus نص متر، خمسين سنترSo, on the right of
+
+106
+00:09:14,350 --> 00:09:17,930
+the lens of the sphero cylindrical lens of 50 cm,
+
+107
+00:09:18,170 --> 00:09:25,830
+this is the second focal line So, second focal
+
+108
+00:09:25,830 --> 00:09:30,950
+line here
+
+109
+00:09:30,950 --> 00:09:33,070
+on the right and here on the right because the
+
+110
+00:09:33,070 --> 00:09:37,930
+distance is in the plus sign Second focal line is
+
+111
+00:09:37,930 --> 00:09:43,350
+equal to 50 cm to the rightof from lens of course
+
+112
+00:09:43,350 --> 00:09:48,010
+from lens it is very important that everything is
+
+113
+00:09:48,010 --> 00:09:50,470
+related to the lens this is the second requirement
+
+114
+00:09:50,470 --> 00:09:54,270
+the third requirement is the circle of least
+
+115
+00:09:54,270 --> 00:09:59,790
+confusion I want to repeat the same problem in the
+
+116
+00:09:59,790 --> 00:10:00,410
+third channel
+
+117
+00:10:12,880 --> 00:10:17,500
+and I want to put the equivalent of the ball and
+
+118
+00:10:17,500 --> 00:10:19,820
+the lens of the sphere which is equivalent to all
+
+119
+00:10:19,820 --> 00:10:22,540
+the meridians together which is the average of
+
+120
+00:10:22,540 --> 00:10:27,900
+their strength also
+
+121
+00:10:27,900 --> 00:10:33,060
+the u here will remain constant minus four and the
+
+122
+00:10:33,060 --> 00:10:35,320
+object is constant wherever it is that's why the u
+
+123
+00:10:35,320 --> 00:10:38,040
+is constant wherever it is in its value
+
+124
+00:10:44,930 --> 00:10:48,070
+What is the spherical component of this spherical
+
+125
+00:10:48,070 --> 00:10:51,050
+lens? I combine the strongest with the weakest
+
+126
+00:10:51,050 --> 00:10:56,350
+meridian, 8 and 6, 14, and I divide them by 2, 14
+
+127
+00:10:56,350 --> 00:11:03,150
+divided by 2, then 7, then 7, then 7 which is the
+
+128
+00:11:03,150 --> 00:11:05,930
+force of the meridian, so this lens is like plus
+
+129
+00:11:05,930 --> 00:11:08,930
+7, plus 7,
+
+130
+00:11:11,570 --> 00:11:15,870
+this is betterthis is the spherical equivalent
+
+131
+00:11:15,870 --> 00:11:21,830
+this is the spherical equivalent, if I combine the
+
+132
+00:11:21,830 --> 00:11:24,170
+strongest meridian with the weakest meridian with
+
+133
+00:11:24,170 --> 00:11:26,430
+each other 14 and I divide them with their number
+
+134
+00:11:26,430 --> 00:11:29,470
+2, I get 7 if I wanted to take the spherical
+
+135
+00:11:29,470 --> 00:11:32,310
+equivalent from here, half of the cylinder with
+
+136
+00:11:32,310 --> 00:11:36,350
+the sphere half of the cylinder minus 1 plus the
+
+137
+00:11:36,350 --> 00:11:41,010
+sphere 8 minus 1 plus 8 remains plus 7 both ways
+
+138
+00:11:41,010 --> 00:11:46,600
+are allowedif this object is 25 cm away from the
+
+139
+00:11:46,600 --> 00:11:49,120
+spherical equivalent from the spherical lens which
+
+140
+00:11:49,120 --> 00:11:51,820
+is equivalent to the spherical cylinder we say as
+
+141
+00:11:51,820 --> 00:11:54,420
+follows where is the circle of least confusion?
+
+142
+00:12:01,500 --> 00:12:07,560
+we say u plus b equals
+
+143
+00:12:07,560 --> 00:12:16,670
+v u minus four constantminus 4 diopter plus power
+
+144
+00:12:16,670 --> 00:12:27,350
+7 diopter equals V so V equals plus 3 diopter
+
+145
+00:12:27,350 --> 00:12:31,110
+since
+
+146
+00:12:31,110 --> 00:12:34,750
+V equals plus 3 diopter, the rays will come out
+
+147
+00:12:34,750 --> 00:12:39,050
+together we say I equals V
+
+148
+00:12:41,040 --> 00:12:50,100
+ويساوي واحد على plus تلاتة ديوبتر ويساوي plus
+
+149
+00:12:50,100 --> 00:12:56,740
+أفوان plus تلت متر يعني تلتمية و تلاتة و تلتين من
+
+150
+00:12:56,740 --> 00:13:02,320
+الف متر هذا مكان ال circle of least confusion اذا
+
+151
+00:13:02,320 --> 00:13:10,420
+circle of least confusion
+
+152
+00:13:13,910 --> 00:13:21,090
+equal to 33.3 centimeters from lens. Everything is
+
+153
+00:13:21,090 --> 00:13:21,990
+related to the lens.
+
+154
+00:13:24,970 --> 00:13:26,770
+The fourth requirement remains.
+
+155
+00:13:30,570 --> 00:13:34,970
+What is the extension of
+
+156
+00:13:34,970 --> 00:13:39,540
+a conoid of a stern?in space The length of the
+
+157
+00:13:39,540 --> 00:13:41,700
+conoid of Stern between the first focal line and
+
+158
+00:13:41,700 --> 00:13:45,340
+the second focal line The first focal line is 25
+
+159
+00:13:45,340 --> 00:13:48,340
+cm away and the second is 50 cm away, so the
+
+160
+00:13:48,340 --> 00:13:56,080
+length is 25 cm as we will see now We draw the
+
+161
+00:13:56,080 --> 00:13:57,840
+final answer as follows
+
+162
+00:14:12,340 --> 00:14:21,720
+this is the sphero cylindrical lens the
+
+163
+00:14:21,720 --> 00:14:25,780
+most powerful meridian is the vertical meridian it
+
+164
+00:14:25,780 --> 00:14:33,340
+will make a horizontal focal line and
+
+165
+00:14:33,340 --> 00:14:36,040
+the most powerful meridian is 25 cm of course
+
+166
+00:14:40,600 --> 00:14:44,140
+first focal line is 25 cm from the sphere and
+
+167
+00:14:44,140 --> 00:14:49,540
+cylindrical lens and the second focal line which
+
+168
+00:14:49,540 --> 00:14:51,920
+is the horizontal meridian because it is the
+
+169
+00:14:51,920 --> 00:14:59,760
+weakest is 50 cm from the lens
+
+170
+00:15:19,530 --> 00:15:27,030
+The second focal line So
+
+171
+00:15:27,030 --> 00:15:39,690
+the
+
+172
+00:15:39,690 --> 00:15:45,290
+second focal line extends 50
+
+173
+00:15:45,290 --> 00:15:50,380
+cm from the lens as we can see hereThe face focal
+
+174
+00:15:50,380 --> 00:15:54,600
+line is 25
+
+175
+00:15:54,600 --> 00:15:57,520
+cm away from the lens The extension of the conoid
+
+176
+00:15:57,520 --> 00:16:01,850
+of a starthe extension of the conoid of a stern
+
+177
+00:16:01,850 --> 00:16:04,850
+from here from the first focal line to here means
+
+178
+00:16:04,850 --> 00:16:07,290
+fifty I want to subtract twenty-five from them so
+
+179
+00:16:07,290 --> 00:16:09,110
+this distance remains which is twenty-five
+
+180
+00:16:09,110 --> 00:16:11,930
+centimeters so the conoid of a stern extends
+
+181
+00:16:11,930 --> 00:16:15,490
+twenty-five centimeters in space because it is
+
+182
+00:16:15,490 --> 00:16:18,090
+confined between the first focal line and the
+
+183
+00:16:18,090 --> 00:16:20,810
+second focal line this is the conoid of a stern
+
+184
+00:16:20,810 --> 00:16:24,630
+the circle of least confusion is located at thirty
+
+185
+00:16:24,630 --> 00:16:29,250
+-three centimeters the circle of least confusionI
+
+186
+00:16:29,250 --> 00:16:40,030
+will draw it
+
+187
+00:16:40,030 --> 00:16:45,170
+I will
+
+188
+00:16:45,170 --> 00:16:49,630
+give it a color to show that it is the circle of
+
+189
+00:16:49,630 --> 00:16:52,590
+least confusion It is 33.3 cm away from the lens
+
+190
+00:16:58,100 --> 00:17:05,140
+a human can say, if there is a 4th request, but
+
+191
+00:17:05,140 --> 00:17:10,920
+let's say it's 33cm
+
+192
+00:17:10,920 --> 00:17:17,160
+and 3 out of 10 away
+
+193
+00:17:17,160 --> 00:17:22,300
+from
+
+194
+00:17:22,300 --> 00:17:37,760
+the lensIt measures 33.3 cm from the lens This
+
+195
+00:17:37,760 --> 00:17:40,260
+is the circle of least confusion dimension
+
+196
+00:17:51,630 --> 00:17:53,950
+Okay, you can ask a question or ask someone to
+
+197
+00:17:53,950 --> 00:17:56,590
+say, is the circle of least confusion closer to
+
+198
+00:17:56,590 --> 00:17:59,030
+the first focal line or to the second focal line?
+
+199
+00:17:59,590 --> 00:18:01,750
+This is very simple, we can say, how far is it
+
+200
+00:18:01,750 --> 00:18:04,970
+from the first focal line? Thirty-three minus
+
+201
+00:18:04,970 --> 00:18:10,250
+twenty-five Thirty-three centimetersminus 25
+
+202
+00:18:10,250 --> 00:18:14,690
+remains this distance 33 minus 25 is 8 and 3
+
+203
+00:18:14,690 --> 00:18:17,610
+tenths of an inch so this distance is 8 and 3
+
+204
+00:18:17,610 --> 00:18:19,910
+tenths of an inch between the circle of least
+
+205
+00:18:19,910 --> 00:18:24,530
+confusion and the first focal line okay how much
+
+206
+00:18:24,530 --> 00:18:34,210
+is the second focal line? 50 sorry 50
+
+207
+00:18:35,900 --> 00:18:39,620
+Centimeter minus thirty-three and three-tenths I
+
+208
+00:18:39,620 --> 00:18:43,200
+get sixteen centimeters and seven-tenths Here the
+
+209
+00:18:43,200 --> 00:18:45,200
+distance will be sixteen centimeters and seven
+
+210
+00:18:45,200 --> 00:18:48,940
+-tenths And here it will be eight centimeters and
+
+211
+00:18:48,940 --> 00:18:51,520
+three-tenths So the circle of least confusion is
+
+212
+00:18:51,520 --> 00:18:54,700
+closer to the first focal line in calculations In
+
+213
+00:18:54,700 --> 00:18:57,540
+calculations, of course, it's not always closer,
+
+214
+00:18:57,780 --> 00:18:59,900
+nor farther, nor in the middle, depending on what
+
+215
+00:18:59,900 --> 00:19:02,040
+I get in the calculations, depending on what I get
+
+216
+00:19:02,790 --> 00:19:06,990
+في الحسابات فبالتاني ال .. ال circle of least
+
+217
+00:19:06,990 --> 00:19:10,430
+confusion في هذه المسألة أقرب لل face focal line
+
+218
+00:19:10,430 --> 00:19:13,930
+هيك بتنتهي المسألة ويعطيكم العافية والسلام عليكم
+
+219
+00:19:13,930 --> 00:19:15,430
+ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/dgi4DFryNLg_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/dgi4DFryNLg_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0aa877360a6ac412a43cb2073b4d69396f07be5c
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/dgi4DFryNLg_postprocess.srt
@@ -0,0 +1,1316 @@
+1
+00:00:02,240 --> 00:00:06,180
+Bismillah ar-Rahman ar-Rahim, we stopped at the
+
+2
+00:00:06,180 --> 00:00:09,380
+image characteristics, which are the attributes of
+
+3
+00:00:09,380 --> 00:00:12,280
+the image We said that the journey starts from the
+
+4
+00:00:12,280 --> 00:00:16,620
+object, through the optical system, and ends with
+
+5
+00:00:16,620 --> 00:00:19,740
+the image We talked last time about the object
+
+6
+00:00:19,740 --> 00:00:22,240
+characteristics, the attributes of the object, and
+
+7
+00:00:22,240 --> 00:00:23,860
+we said that what matters to us are two
+
+8
+00:00:23,860 --> 00:00:25,500
+attributes, which are location, the location of
+
+9
+00:00:25,500 --> 00:00:29,310
+the objectfor the optical system, how far it goes
+
+10
+00:00:29,310 --> 00:00:30,970
+away from it, and the second thing is the
+
+11
+00:00:30,970 --> 00:00:33,130
+luminosity of the object, which means the
+
+12
+00:00:33,130 --> 00:00:37,890
+luminosity of the object, and it tells us that the
+
+13
+00:00:37,890 --> 00:00:40,270
+object, any object in the world, can be either
+
+14
+00:00:40,270 --> 00:00:43,870
+dimmed by itself, emitting its natural light,
+
+15
+00:00:44,390 --> 00:00:47,230
+which is like the light of the sun, the light of a
+
+16
+00:00:47,230 --> 00:00:52,560
+candle, fire, etc, or dimmedفى حالة ما يكون مضاء
+
+17
+00:00:52,560 --> 00:00:56,860
+يعني ساقط عليه ضوء آخر، مش ذاتى الإضاءة، ساقط عليه
+
+18
+00:00:56,860 --> 00:01:00,680
+ضوء آخر، ضرورى يكون عاكس، ضرورى يكون عاكس. اليوم
+
+19
+00:01:00,680 --> 00:01:03,900
+فى ال image characteristics اللى هى الصفات بتاعة
+
+20
+00:01:03,900 --> 00:01:09,120
+الصورة، هنتحدث عن أربع صفات، ال magnification،
+
+21
+00:01:09,120 --> 00:01:12,610
+التكبيرthe location, the location of the image of
+
+22
+00:01:12,610 --> 00:01:17,070
+course for the optical system, the quality, the
+
+23
+00:01:17,070 --> 00:01:19,390
+quality of the image, and the brightness, the
+
+24
+00:01:19,390 --> 00:01:23,310
+amount of light or the clarity of the image The
+
+25
+00:01:23,310 --> 00:01:26,070
+quality, which is how much the image resembles the
+
+26
+00:01:26,070 --> 00:01:29,690
+object, whether it is 80 percent, 90 percent, 95
+
+27
+00:01:29,690 --> 00:01:34,350
+percent, close to 100 percent, etc. Therefore, the
+
+28
+00:01:34,350 --> 00:01:38,760
+quality means how much the image resemblesThe
+
+29
+00:01:38,760 --> 00:01:40,960
+object, not the image that resembles the object,
+
+30
+00:01:41,380 --> 00:01:44,220
+which is its image, which is its image Let's start
+
+31
+00:01:44,220 --> 00:01:48,420
+talking about magnification and we say that the
+
+32
+00:01:48,420 --> 00:01:51,880
+word magnification means to magnify, while in the
+
+33
+00:01:51,880 --> 00:01:54,000
+science of geometric optics, the word
+
+34
+00:01:54,000 --> 00:01:57,820
+magnification can mean to magnifyوممكن تعني
+
+35
+00:01:57,820 --> 00:02:04,480
+التصغير التصغير فبالتالي هنبدأ نتعامل مع أول صفة
+
+36
+00:02:04,480 --> 00:02:08,480
+من صفات الصورة اللي هي إيش ال magnification ال
+
+37
+00:02:08,480 --> 00:02:12,440
+magnification ال magnification في عندنا تلت أنواع
+
+38
+00:02:12,440 --> 00:02:17,420
+من ال magnification أو التكبير ال three types are
+
+39
+00:02:17,420 --> 00:02:21,080
+considered in geometrical optics ال transfers
+
+40
+00:02:21,080 --> 00:02:26,350
+magnification و ال angular magnificationوالـ axial
+
+41
+00:02:26,350 --> 00:02:31,730
+magnification The ratio of the height of an image
+
+42
+00:02:31,730 --> 00:02:34,730
+to the height of the corresponding object is known
+
+43
+00:02:34,730 --> 00:02:39,370
+as Transverse Magnification نسبة ارتفاع الصورة
+
+44
+00:02:39,370 --> 00:02:44,710
+لارتفاع الجسم بتاعها اللي هي صورته يعتبر او هو
+
+45
+00:02:44,710 --> 00:02:48,250
+عبارة عن تعريف لـ Transverse Magnification هو
+
+46
+00:02:48,250 --> 00:02:52,350
+تعريف لـ Transverse MagnificationI have a body,
+
+47
+00:02:52,550 --> 00:02:55,050
+which is a candle, and I have an optical system,
+
+48
+00:02:55,350 --> 00:02:57,370
+and these are the components of a picture. A
+
+49
+00:02:57,370 --> 00:02:58,570
+person can tell me that the picture is upside
+
+50
+00:02:58,570 --> 00:03:01,170
+down. Now we are not discussing if the picture is
+
+51
+00:03:01,170 --> 00:03:04,270
+upside down or straight. We see that the picture
+
+52
+00:03:04,270 --> 00:03:07,730
+appears to be upright, and as I said beforeThe
+
+53
+00:03:07,730 --> 00:03:10,550
+magnification in the science of geometrical optics
+
+54
+00:03:10,550 --> 00:03:13,930
+can mean magnification and can mean diminution,
+
+55
+00:03:13,990 --> 00:03:18,550
+but for me it is called magnification We say the
+
+56
+00:03:18,550 --> 00:03:21,650
+definition of Transverse Magnification Transverse
+
+57
+00:03:21,650 --> 00:03:24,830
+Magnification is the first type of the three types
+
+58
+00:03:24,830 --> 00:03:27,650
+of magnification, which is the ratio of the height
+
+59
+00:03:27,650 --> 00:03:31,070
+of the image to the height of the objectThe ratio
+
+60
+00:03:31,070 --> 00:03:33,010
+of the height of the image to the height of the
+
+61
+00:03:33,010 --> 00:03:34,330
+object, excuse me, to the height of the object,
+
+62
+00:03:34,630 --> 00:03:37,470
+that is, if we say to transphase magnification,
+
+63
+00:03:37,890 --> 00:03:42,450
+what is equal as an equation? Image height over
+
+64
+00:03:42,450 --> 00:03:47,010
+object height, image height is divided by object
+
+65
+00:03:47,010 --> 00:03:49,470
+height, here we have the image height is 2 cm in
+
+66
+00:03:49,470 --> 00:03:55,380
+the image and the object height is 4 cmtwo
+
+67
+00:03:55,380 --> 00:03:59,180
+centimeters over four centimeters becomes half ..
+
+68
+00:03:59,180 --> 00:04:03,080
+becomes half .. so it is very important to have
+
+69
+00:04:03,080 --> 00:04:09,820
+clear things .. clear things Now to clarify more,
+
+70
+00:04:10,280 --> 00:04:20,400
+we want to say as follows .. we
+
+71
+00:04:20,400 --> 00:04:22,480
+want to try to measure a square of half
+
+72
+00:04:30,620 --> 00:04:36,140
+transphase magnification is equal to image height
+
+73
+00:04:36,140 --> 00:04:50,080
+which is 2 cm by object height which is 4 cm and
+
+74
+00:04:50,080 --> 00:04:54,620
+it is equal to of course there is a sign that we
+
+75
+00:04:54,620 --> 00:04:59,230
+will put fortransfers magnification to the x-axis
+
+76
+00:04:59,230 --> 00:05:02,810
+x means how big is the image, how many times, how
+
+77
+00:05:02,810 --> 00:05:11,270
+many times 2 by 4.5 and cm by cm goes away, it
+
+78
+00:05:11,270 --> 00:05:12,690
+doesn't differentiate because it's a percentage
+
+79
+00:05:12,690 --> 00:05:17,330
+and percentages don't differentiate, so I have to
+
+80
+00:05:17,330 --> 00:05:21,690
+transfer magnification to the high imagetransfers
+
+81
+00:05:21,690 --> 00:05:25,770
+magnification for this image is 1.5 x 1.5 x 1.5 x
+
+82
+00:05:25,770 --> 00:05:31,350
+1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1
+
+83
+00:05:31,350 --> 00:05:35,610
+.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5
+
+84
+00:05:35,610 --> 00:05:37,010
+x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x
+
+85
+00:05:37,010 --> 00:05:37,430
+1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1
+
+86
+00:05:37,430 --> 00:05:43,710
+x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x
+
+87
+00:05:43,710 --> 00:05:48,260
+1.5يعني لما بشوف إشارة X معناته أنا بتكلم عن ال
+
+88
+00:05:48,260 --> 00:05:52,800
+transfers magnification يعني كام مرة مكبر الصورة
+
+89
+00:05:52,800 --> 00:05:56,020
+مقارنة مع ال object؟ هنا نص مرة، إيش يعني لما أشوف
+
+90
+00:05:56,020 --> 00:06:04,450
+X نص؟ X نص يعني .. يعني ..Picture's height is half
+
+91
+00:06:04,450 --> 00:06:06,850
+the height of the object If we find in another
+
+92
+00:06:06,850 --> 00:06:11,810
+example that the picture is for example 6 cm Then
+
+93
+00:06:11,810 --> 00:06:14,650
+I want to multiply the image height which is 6 cm
+
+94
+00:06:14,650 --> 00:06:18,630
+by the object height which is 4 cm it becomes x
+
+95
+00:06:18,630 --> 00:06:22,790
+one and a third x one and a third or x one and a
+
+96
+00:06:22,790 --> 00:06:32,590
+half which is six over four which is ..one and a
+
+97
+00:06:32,590 --> 00:06:35,970
+half, one and a half, one and a half, one and a
+
+98
+00:06:35,970 --> 00:06:37,950
+half means that the image is very big and it is
+
+99
+00:06:37,950 --> 00:06:40,910
+half the size of the object Okay, if I find the
+
+100
+00:06:40,910 --> 00:06:49,110
+image, the height of the image is about four
+
+101
+00:06:49,110 --> 00:06:51,650
+centimeters, sometimes I say it transfers
+
+102
+00:06:51,650 --> 00:06:55,190
+magnification, it transfers magnification equals
+
+103
+00:06:55,190 --> 00:06:58,870
+the image heightthe height of the image which is 4
+
+104
+00:06:58,870 --> 00:07:02,530
+cm over the height of the object which is 4 cm 4
+
+105
+00:07:02,530 --> 00:07:08,450
+cm divided by 4 cm gives me x1 which means that
+
+106
+00:07:08,450 --> 00:07:10,570
+the height of the image is equal to the height of
+
+107
+00:07:10,570 --> 00:07:11,990
+the object which means that neither it is
+
+108
+00:07:11,990 --> 00:07:15,450
+magnified nor it is reduced, the magnification is
+
+109
+00:07:15,450 --> 00:07:21,210
+that it is really the object so what transfers
+
+110
+00:07:21,210 --> 00:07:25,230
+magnificationIt's the height of an image to the
+
+111
+00:07:25,230 --> 00:07:27,970
+height ratio, of course, and ratio means the
+
+112
+00:07:27,970 --> 00:07:30,010
+percentage, the percentage is not distinguished I
+
+113
+00:07:30,010 --> 00:07:33,850
+measure heights in centimeters, but when I divide
+
+114
+00:07:33,850 --> 00:07:36,050
+a centimeter by a centimeter, the centimeter goes
+
+115
+00:07:36,050 --> 00:07:38,190
+with the centimeter, and two over four here gives
+
+116
+00:07:38,190 --> 00:07:41,730
+me a half, that is, x, x half or multiply by half,
+
+117
+00:07:42,070 --> 00:07:45,410
+that is, the image in this case is half the height
+
+118
+00:07:45,410 --> 00:07:49,190
+of the object, half the height of the object, then
+
+119
+00:07:49,190 --> 00:07:53,690
+transfers magnificationImage height is equal to
+
+120
+00:07:53,690 --> 00:07:57,470
+object height Object and image heights are
+
+121
+00:07:57,470 --> 00:08:03,350
+measured perpendicular to the optical axis And by
+
+122
+00:08:03,350 --> 00:08:08,070
+convention are considered positive when the object
+
+123
+00:08:08,070 --> 00:08:12,470
+or image extends above the optical axis and
+
+124
+00:08:12,470 --> 00:08:16,170
+negative below the optical axis Let's go back to
+
+125
+00:08:16,170 --> 00:08:21,270
+the picture to correct our squareNow, I have two
+
+126
+00:08:21,270 --> 00:08:26,710
+very very very important things to know First of
+
+127
+00:08:26,710 --> 00:08:31,690
+all, the image height and the object height The
+
+128
+00:08:31,690 --> 00:08:33,730
+height of the image and the height of the object
+
+129
+00:08:33,730 --> 00:08:36,990
+must be measured vertically from the optical axis
+
+130
+00:08:36,990 --> 00:08:40,530
+In other words, this is my body, the vertical
+
+131
+00:08:40,530 --> 00:08:43,650
+height of this body is considered the object
+
+132
+00:08:43,650 --> 00:08:47,080
+heightThe vertical height of the image is
+
+133
+00:08:47,080 --> 00:08:49,480
+considered the image height You might say, well,
+
+134
+00:08:49,540 --> 00:08:51,820
+why did we measure the word vertical? That's it,
+
+135
+00:08:51,880 --> 00:08:54,000
+we say the height of the body and the height of
+
+136
+00:08:54,000 --> 00:08:57,140
+the image We say we measured it to know something
+
+137
+00:08:57,140 --> 00:09:01,200
+very important, that not all bodies are parallel I
+
+138
+00:09:01,200 --> 00:09:06,160
+might find an object or a curved bodyفإذا عندي جسم
+
+139
+00:09:06,160 --> 00:09:10,020
+مائل، نفرض عندي نخلة فيها ميلها، و هي الجسم، نخلة
+
+140
+00:09:10,020 --> 00:09:16,000
+مائلة، مابجيش أجيس ارتفاعها على طول جسم النخلة، لأ
+
+141
+00:09:16,000 --> 00:09:21,550
+من أعلى نقطة في النخلة بأسقط عمود أسقاطuntil I
+
+142
+00:09:21,550 --> 00:09:24,450
+reach the optical axis, the optical axis is the
+
+143
+00:09:24,450 --> 00:09:26,470
+reference line, it is the basis that I want to get
+
+144
+00:09:26,470 --> 00:09:30,270
+from it I drop a column from this sloping body or
+
+145
+00:09:30,270 --> 00:09:32,890
+from this sloping palm from the highest point in
+
+146
+00:09:32,890 --> 00:09:36,640
+it, I drop a column, the height of the columnIt is
+
+147
+00:09:36,640 --> 00:09:38,480
+the height of the palm tree in the science of
+
+148
+00:09:38,480 --> 00:09:41,040
+geometrical optics Not the length of the palm
+
+149
+00:09:41,040 --> 00:09:44,160
+tree, I say its height from the optical axis When
+
+150
+00:09:44,160 --> 00:09:46,920
+we say the height of a body from the surface of
+
+151
+00:09:46,920 --> 00:09:49,420
+the earth, we want to drop a column from this body
+
+152
+00:09:49,420 --> 00:09:52,520
+to the surface of the earth and we do not measure
+
+153
+00:09:52,520 --> 00:09:55,380
+the length of this body, how extended it is. We
+
+154
+00:09:55,380 --> 00:09:58,720
+have .. it can beI might have a body length of 10
+
+155
+00:09:58,720 --> 00:10:02,360
+cm, but the highest point in it is 2 cm away from
+
+156
+00:10:02,360 --> 00:10:05,000
+the optical axis, so I don't say the height is 10
+
+157
+00:10:05,000 --> 00:10:10,020
+cm, I say the height from the optical axis is 2 cm
+
+158
+00:10:10,020 --> 00:10:13,580
+high, 2 cm high Also, the picture might look
+
+159
+00:10:13,580 --> 00:10:16,280
+crooked, I mean a crooked picture, not necessarily
+
+160
+00:10:16,280 --> 00:10:20,600
+a regular picture, so I measure the height from ..
+
+161
+00:10:20,600 --> 00:10:23,210
+from .. from ..The highest point in it or if it is
+
+162
+00:10:23,210 --> 00:10:26,170
+overturned from the lowest point in it, I raise a
+
+163
+00:10:26,170 --> 00:10:29,050
+column until it reaches or I lower a column until
+
+164
+00:10:29,050 --> 00:10:32,950
+it reaches the optical axis, this column, this
+
+165
+00:10:32,950 --> 00:10:35,690
+column is the height of the image At that time,
+
+166
+00:10:35,830 --> 00:10:37,510
+when I determined the height of the image and
+
+167
+00:10:37,510 --> 00:10:39,790
+determined the height of the object, I calculate
+
+168
+00:10:39,790 --> 00:10:42,390
+the height of the image, its height, not its
+
+169
+00:10:42,390 --> 00:10:44,590
+lengthThe elevation of the image over the
+
+170
+00:10:44,590 --> 00:10:46,790
+elevation of the object gives me the transphase
+
+171
+00:10:46,790 --> 00:10:50,590
+magnification. This is the first thing. So the
+
+172
+00:10:50,590 --> 00:10:53,790
+vertical elevation of the object and the image is
+
+173
+00:10:53,790 --> 00:10:57,850
+what I use. The second thing, by convention, that
+
+174
+00:10:57,850 --> 00:11:02,570
+is, it was recognized or recognized in geometrical
+
+175
+00:11:02,570 --> 00:11:07,750
+optics that anything ..Irtifaa'u yamtad fawq ..
+
+176
+00:11:07,750 --> 00:11:12,190
+fawq ال optical axis يعتبر .. بنعطيله إشارة موجبة
+
+177
+00:11:12,190 --> 00:11:17,090
+بينما أي شيء سواء صورة أو جسم .. سواء صورة أو جسم
+
+178
+00:11:17,090 --> 00:11:22,070
+below the optical axis يعني جاي لتحت من ال optical
+
+179
+00:11:22,070 --> 00:11:27,170
+axis ارتفاعه بياخد إشارة minus إذا هنا ..Here it
+
+180
+00:11:27,170 --> 00:11:30,330
+is necessary to make an adjustment in the equation
+
+181
+00:11:30,330 --> 00:11:33,030
+that we wrote, we say that Transphase
+
+182
+00:11:33,030 --> 00:11:36,220
+Magnification is equal to Image HeightBut the
+
+183
+00:11:36,220 --> 00:11:38,820
+image is below the optical axis, so here we need
+
+184
+00:11:38,820 --> 00:11:45,420
+to put a minus sign So image height is minus two
+
+185
+00:11:45,420 --> 00:11:48,200
+centimeters, here the minus is not its quantity,
+
+186
+00:11:48,860 --> 00:11:52,640
+but it is below the optical axis On the object
+
+187
+00:11:52,640 --> 00:11:54,820
+height, the height of the object above the optical
+
+188
+00:11:54,820 --> 00:11:58,700
+axis remains without a sign or I can put a plus
+
+189
+00:11:58,700 --> 00:12:04,750
+sign Okay, minus two over four x minus halfهنا لما
+
+190
+00:12:04,750 --> 00:12:09,110
+بقول x معناته التكبير minus يعني الصورة مجلوبة أول
+
+191
+00:12:09,110 --> 00:12:13,110
+ما بشوف كلمة minus معناته الصورة مجلوبة بالنسبة لل
+
+192
+00:12:13,110 --> 00:12:17,360
+object ال object لفوق الصورة لتحتThe object above,
+
+193
+00:12:18,040 --> 00:12:20,580
+the object above the optical axis, the image below
+
+194
+00:12:20,580 --> 00:12:26,100
+it X minus half means the image is upside down, I
+
+195
+00:12:26,100 --> 00:12:28,900
+got it from the word minus And half of the object,
+
+196
+00:12:29,020 --> 00:12:31,920
+which is small, to half the height of the object
+
+197
+00:12:31,920 --> 00:12:33,980
+So if the height of the object is ten centimeters,
+
+198
+00:12:34,120 --> 00:12:35,900
+it will be five If the height of the object is
+
+199
+00:12:35,900 --> 00:12:38,100
+five centimeters, it will be two and a half We
+
+200
+00:12:38,100 --> 00:12:40,520
+have here in the example, the height of the object
+
+201
+00:12:40,520 --> 00:12:44,690
+is four centimetersThe height of the image is two
+
+202
+00:12:44,690 --> 00:12:47,700
+centimeters, so its height is half heightThe
+
+203
+00:12:47,700 --> 00:12:53,400
+object is an object and image heads are measured
+
+204
+00:12:53,400 --> 00:12:56,320
+perpendicular to the optical axis This is the
+
+205
+00:12:56,320 --> 00:12:58,340
+first thing, it is measured vertically from the
+
+206
+00:12:58,340 --> 00:13:01,900
+highest point or lowest point by dropping a column
+
+207
+00:13:01,900 --> 00:13:05,140
+on the optical axis and we measure the heights of
+
+208
+00:13:05,140 --> 00:13:07,860
+the body and the image and we divide the height of
+
+209
+00:13:07,860 --> 00:13:10,820
+the image by the height of the body The height of
+
+210
+00:13:10,820 --> 00:13:13,840
+the image by the height of the body by convention,
+
+211
+00:13:14,080 --> 00:13:17,380
+of course, is also known asare considered positive
+
+212
+00:13:17,380 --> 00:13:21,270
+on the object or image.extends above the optical
+
+213
+00:13:21,270 --> 00:13:24,090
+axis سواء ال object أو ال image إذا كان فوق ال
+
+214
+00:13:24,090 --> 00:13:28,190
+optical axis ساعتها هنعطيهم إشارة أو هذا الارتفاع
+
+215
+00:13:28,190 --> 00:13:31,910
+هنعطيه إشارة موجبة إذا كانوا تحت ال optical axis
+
+216
+00:13:31,910 --> 00:13:35,890
+ساعتها هنعطيهم إشارة سالبة ممكن إنسان يتعجب يقول
+
+217
+00:13:35,890 --> 00:13:39,670
+ممكن ال object يكون تحت ال optical axis أه ممكن و
+
+218
+00:13:39,670 --> 00:13:43,070
+هذا هنشرحه إن شاء الله في وقته ال image ممكن تكون
+
+219
+00:13:43,070 --> 00:13:46,530
+فوق أو تحت نعم كل من ال object أو ال image ممكن
+
+220
+00:13:46,530 --> 00:13:50,090
+يكون فوق ال optical axisوممكن يكون تحت ال optical
+
+221
+00:13:50,090 --> 00:13:54,890
+axis و هذا هيجيله وقته للتعرف عليه .. للتعرف عليه
+
+222
+00:13:55,380 --> 00:13:58,720
+if for example let's take an example if the object
+
+223
+00:13:58,720 --> 00:14:02,680
+height is plus 6 cm when we say plus 6 cm it means
+
+224
+00:14:02,680 --> 00:14:07,000
+above the optical axis the object height is plus 6
+
+225
+00:14:07,000 --> 00:14:12,560
+cm and the image height is minus 3 cm then the
+
+226
+00:14:12,560 --> 00:14:16,440
+transference magnification is equal to minus half
+
+227
+00:14:16,440 --> 00:14:19,780
+to make it clear as an equation if we get used to
+
+228
+00:14:19,780 --> 00:14:24,120
+solving equations I will add a strip here and I
+
+229
+00:14:24,120 --> 00:14:28,870
+will start I write, let's say in the example they
+
+230
+00:14:28,870 --> 00:14:34,030
+gave us they gave us the object plus 6 cm and the
+
+231
+00:14:34,030 --> 00:14:38,670
+image minus 3 cm let's say transfers magnification
+
+232
+00:14:38,670 --> 00:14:48,330
+equals image height over object height object
+
+233
+00:14:48,330 --> 00:14:54,130
+let's write it correctly object height and equals
+
+234
+00:14:54,130 --> 00:14:54,670
+of course
+
+235
+00:14:58,780 --> 00:15:04,180
+image height minus 3cm
+
+236
+00:15:04,180 --> 00:15:07,420
+because the image is below the optical axis
+
+237
+00:15:13,020 --> 00:15:16,840
+and equals first thing when I calculate the
+
+238
+00:15:16,840 --> 00:15:19,440
+transference magnification I have to put an X sign
+
+239
+00:15:19,440 --> 00:15:22,820
+X means magnified like this because some devices
+
+240
+00:15:22,820 --> 00:15:26,060
+like cameras and some phones or when I zoom in I
+
+241
+00:15:26,060 --> 00:15:28,400
+find a sign on the edge of the screen that shows
+
+242
+00:15:28,400 --> 00:15:31,920
+me how many times the image is magnified and I
+
+243
+00:15:31,920 --> 00:15:37,160
+magnify it how many times so X minus over plus is
+
+244
+00:15:37,160 --> 00:15:42,660
+minus three over six which is half zero point five
+
+245
+00:15:44,590 --> 00:15:47,770
+Okay, centimeter by centimeter it goes x minus
+
+246
+00:15:47,770 --> 00:15:53,670
+half, x minus half means that we are talking about
+
+247
+00:15:53,670 --> 00:15:55,770
+an inverted image, we know that it is inverted
+
+248
+00:15:55,770 --> 00:15:59,230
+because of the minus sign and it is smaller than
+
+249
+00:15:59,230 --> 00:16:02,230
+half the height of the object, higher than half
+
+250
+00:16:02,230 --> 00:16:05,570
+the height of the object meaning that the image is
+
+251
+00:16:05,570 --> 00:16:11,790
+inverted and half as large as the object Now we
+
+252
+00:16:11,790 --> 00:16:15,810
+come to a pointNext, it is known that the objects
+
+253
+00:16:15,810 --> 00:16:20,610
+that we know or see in our life have no distance
+
+254
+00:16:20,610 --> 00:16:22,130
+from each other, which means that we are correct
+
+255
+00:16:22,130 --> 00:16:24,990
+when we draw in geometrical objects, here we can
+
+256
+00:16:24,990 --> 00:16:29,030
+see the object or we will represent it with an
+
+257
+00:16:29,030 --> 00:16:32,510
+arrow from now on, so maybe the arrow is what
+
+258
+00:16:32,510 --> 00:16:35,270
+indicates the object, right? But objects are known
+
+259
+00:16:35,270 --> 00:16:38,430
+to be triangular, or most likely to be triangular
+
+260
+00:16:38,430 --> 00:16:42,150
+in dimensionsAnd maybe some people consider it as
+
+261
+00:16:42,150 --> 00:16:46,430
+a dispute that it's two dimensions, for example,
+
+262
+00:16:46,530 --> 00:16:50,310
+the A4 paper has length and width, the rest of the
+
+263
+00:16:50,310 --> 00:16:54,200
+objects, for example, I havewooden box, or metal,
+
+264
+00:16:54,580 --> 00:16:59,240
+or glass,
+
+265
+00:16:59,640 --> 00:17:03,640
+for example All of these are triple dimensions,
+
+266
+00:17:03,780 --> 00:17:07,020
+they have length, width, and height The transfers
+
+267
+00:17:07,020 --> 00:17:10,280
+magnification applies to linear dimensions
+
+268
+00:17:10,280 --> 00:17:14,980
+Transfers magnification applies to all dimensions
+
+269
+00:17:14,980 --> 00:17:17,780
+of the body In other words, if I have a body twice
+
+270
+00:17:17,780 --> 00:17:18,540
+the dimensions
+
+271
+00:17:21,340 --> 00:17:25,240
+يعني مثلا قلنا عندنا ورقة طولها أربع صانطي أو
+
+272
+00:17:25,240 --> 00:17:29,540
+خلينا نقول عرضها أربع صانطي و طولها ستة صانطي
+
+273
+00:17:29,540 --> 00:17:34,260
+اعتبرناها object imaged يعني تم تصويرها with a
+
+274
+00:17:34,260 --> 00:17:39,960
+magnification of two معناتهdouble the image of
+
+275
+00:17:39,960 --> 00:17:46,300
+this object, we have a paper 4x6 cm long in width,
+
+276
+00:17:46,840 --> 00:17:50,140
+we took a picture of the paper, we considered the
+
+277
+00:17:50,140 --> 00:17:53,420
+paper as the object, as the body, and we made a
+
+278
+00:17:53,420 --> 00:17:57,710
+picture of it through a lensحنحصل على صورة مكبرة
+
+279
+00:17:57,710 --> 00:18:01,410
+مرتين ال magnification ال transfers magnification
+
+280
+00:18:01,410 --> 00:18:05,310
+مرتين اش يعني مرتين؟ مين من البعدين هدول اتكبر
+
+281
+00:18:05,310 --> 00:18:10,770
+مرتين؟ ال 4 cm اللي هي العرض ولا ال 6 cm الطول لأ
+
+282
+00:18:10,770 --> 00:18:15,090
+هم التنين كل واحد منهم اتكبر مرتين يعني ال 4 cm في
+
+283
+00:18:15,090 --> 00:18:19,910
+الصورة صارت 8 cm و ال 6 cm في الصورة صارت 12 cm
+
+284
+00:18:19,910 --> 00:18:24,940
+اذا الصورة هتكون 8 cm في 12 cmOkay, the area of
+
+285
+00:18:24,940 --> 00:18:27,040
+​​the image compared to the area of ​​the object
+
+286
+00:18:27,040 --> 00:18:32,960
+Let's solve this example and this issue will be
+
+287
+00:18:32,960 --> 00:18:36,160
+clarified So, we say as follows, the area of
+
+288
+00:18:36,160 --> 00:18:48,360
+​​this .. we say the area of ​​the object is equal
+
+289
+00:18:48,360 --> 00:18:51,800
+to four times
+
+290
+00:19:01,310 --> 00:19:14,270
+4 x 6 is equal to 24 cm2 while
+
+291
+00:19:14,270 --> 00:19:20,610
+the area of the image is
+
+292
+00:19:20,610 --> 00:19:25,710
+equal to 4 cm which is equal to 8 cm
+
+293
+00:19:31,680 --> 00:19:35,920
+Darb 12 cm because the second dimension was
+
+294
+00:19:35,920 --> 00:19:45,720
+enlarged twice as well, 12 cm is equal to 96
+
+295
+00:19:45,720 --> 00:19:50,620
+cm²
+
+296
+00:19:50,620 --> 00:19:55,800
+So all of the dimensionsكل من الأبعاد اتضاعف
+
+297
+00:19:55,800 --> 00:20:00,140
+مرتين، العرض اتضاعف مرتين، والطول اتضاعف مرتين،
+
+298
+00:20:00,140 --> 00:20:03,860
+إذا المساحة الكلية هتتضاعف جد إيش؟ بيجسم مساحة
+
+299
+00:20:03,860 --> 00:20:07,460
+الصورة ع مساحة ال object، المساحة الكلية هتكون
+
+300
+00:20:07,460 --> 00:20:21,880
+تضاعفت، تضاعف في المساحة يساوي مساحة الصورة تقسيم
+
+301
+00:20:22,740 --> 00:20:26,640
+The area of the body, which is considered to be a
+
+302
+00:20:26,640 --> 00:20:35,160
+two-dimensional body is equal to 96 cm²
+
+303
+00:20:35,160 --> 00:20:38,180
+over 24
+
+304
+00:20:51,850 --> 00:20:57,230
+Square centimeter and it's equal to four times,
+
+305
+00:20:57,410 --> 00:21:04,690
+four times, four times and x is four No, it was x
+
+306
+00:21:04,690 --> 00:21:09,630
+with flowers, x is four, four times, four times,
+
+307
+00:21:09,770 --> 00:21:16,720
+it doubled in space four timesمساحة الجسم، جد
+
+308
+00:21:16,720 --> 00:21:20,720
+مساحة الجسم. إذا ال transfers magnification
+
+309
+00:21:20,720 --> 00:21:24,400
+applies to linear dimensions لكل الإرتفاعات أو
+
+310
+00:21:24,400 --> 00:21:29,390
+المجسات أو الحدود بتاعت ال object. For example4 cm
+
+311
+00:21:29,390 --> 00:21:32,950
+x 6 cm object imaged with a magnification of 2
+
+312
+00:21:32,950 --> 00:21:38,610
+both
+
+313
+00:21:38,610 --> 00:21:42,930
+width
+
+314
+00:21:42,930 --> 00:21:50,910
+and length double yielding
+
+315
+00:21:50,910 --> 00:21:56,610
+means 4 fold increase in image areaFour times more
+
+316
+00:21:56,610 --> 00:21:59,710
+than the area of the image compared to the area of
+
+317
+00:21:59,710 --> 00:22:03,750
+the object Compared to the area of the object
+
+318
+00:22:03,750 --> 00:22:08,970
+Generally, the multiplication sign is used to
+
+319
+00:22:08,970 --> 00:22:12,050
+indicate magnification When I see the
+
+320
+00:22:12,050 --> 00:22:13,070
+multiplication sign, I know that there is a
+
+321
+00:22:13,070 --> 00:22:15,910
+magnification for the image either bigger than the
+
+322
+00:22:15,910 --> 00:22:20,580
+body or smaller than the bodyor جد الجسم حسب الرقم
+
+323
+00:22:20,580 --> 00:22:23,600
+اللي أنا بشوفه بعدها، X معناته فيه magnification،
+
+324
+00:22:23,600 --> 00:22:27,440
+إذا قولنا X واحد معناته الصورة جد الجسم، لا أصغر
+
+325
+00:22:27,440 --> 00:22:32,780
+ولا أكبر، إذا كونت أقل من واحد معناته فيه تصغيرإذا
+
+326
+00:22:32,780 --> 00:22:36,460
+كانت أكبر من واحد، معناته فيه تكبير، يعني بمعنى
+
+327
+00:22:36,460 --> 00:22:42,300
+زيادة في اللي هو التكبير بتاع الصورة، زيادة في
+
+328
+00:22:42,300 --> 00:22:45,820
+التكبير بتاع الصورة، هنتوقف عند هذه النقطة و
+
+329
+00:22:45,820 --> 00:22:49,280
+هنستكمل ان شاء الله المرة القادمة و يعطيكم العافية
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/dgi4DFryNLg_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/dgi4DFryNLg_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..4d235c616437c27663dbd8f0073df3f4c1e62e87
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/dgi4DFryNLg_raw.srt
@@ -0,0 +1,1320 @@
+1
+00:00:02,240 --> 00:00:06,180
+Bismillah ar-Rahman ar-Rahim, we stopped at the
+
+2
+00:00:06,180 --> 00:00:09,380
+image characteristics, which are the attributes of
+
+3
+00:00:09,380 --> 00:00:12,280
+the image We said that the journey starts from the
+
+4
+00:00:12,280 --> 00:00:16,620
+object, through the optical system, and ends with
+
+5
+00:00:16,620 --> 00:00:19,740
+the image We talked last time about the object
+
+6
+00:00:19,740 --> 00:00:22,240
+characteristics, the attributes of the object, and
+
+7
+00:00:22,240 --> 00:00:23,860
+we said that what matters to us are two
+
+8
+00:00:23,860 --> 00:00:25,500
+attributes, which are location, the location of
+
+9
+00:00:25,500 --> 00:00:29,310
+the objectfor the optical system, how far it goes
+
+10
+00:00:29,310 --> 00:00:30,970
+away from it, and the second thing is the
+
+11
+00:00:30,970 --> 00:00:33,130
+luminosity of the object, which means the
+
+12
+00:00:33,130 --> 00:00:37,890
+luminosity of the object, and it tells us that the
+
+13
+00:00:37,890 --> 00:00:40,270
+object, any object in the world, can be either
+
+14
+00:00:40,270 --> 00:00:43,870
+dimmed by itself, emitting its natural light,
+
+15
+00:00:44,390 --> 00:00:47,230
+which is like the light of the sun, the light of a
+
+16
+00:00:47,230 --> 00:00:52,560
+candle, fire, etc, or dimmedفى حالة ما يكون مضاء
+
+17
+00:00:52,560 --> 00:00:56,860
+يعني ساقط عليه ضوء آخر، مش ذاتى الإضاءة، ساقط عليه
+
+18
+00:00:56,860 --> 00:01:00,680
+ضوء آخر، ضرورى يكون عاكس، ضرورى يكون عاكس. اليوم
+
+19
+00:01:00,680 --> 00:01:03,900
+فى ال image characteristics اللى هى الصفات بتاعة
+
+20
+00:01:03,900 --> 00:01:09,120
+الصورة، هنتحدث عن أربع صفات، ال magnification،
+
+21
+00:01:09,120 --> 00:01:12,610
+التكبيرthe location, the location of the image of
+
+22
+00:01:12,610 --> 00:01:17,070
+course for the optical system, the quality, the
+
+23
+00:01:17,070 --> 00:01:19,390
+quality of the image, and the brightness, the
+
+24
+00:01:19,390 --> 00:01:23,310
+amount of light or the clarity of the image The
+
+25
+00:01:23,310 --> 00:01:26,070
+quality, which is how much the image resembles the
+
+26
+00:01:26,070 --> 00:01:29,690
+object, whether it is 80 percent, 90 percent, 95
+
+27
+00:01:29,690 --> 00:01:34,350
+percent, close to 100 percent, etc. Therefore, the
+
+28
+00:01:34,350 --> 00:01:38,760
+quality means how much the image resemblesThe
+
+29
+00:01:38,760 --> 00:01:40,960
+object, not the image that resembles the object,
+
+30
+00:01:41,380 --> 00:01:44,220
+which is its image, which is its image Let's start
+
+31
+00:01:44,220 --> 00:01:48,420
+talking about magnification and we say that the
+
+32
+00:01:48,420 --> 00:01:51,880
+word magnification means to magnify, while in the
+
+33
+00:01:51,880 --> 00:01:54,000
+science of geometric optics, the word
+
+34
+00:01:54,000 --> 00:01:57,820
+magnification can mean to magnifyوممكن تعني
+
+35
+00:01:57,820 --> 00:02:04,480
+التصغير التصغير فبالتالي هنبدأ نتعامل مع أول صفة
+
+36
+00:02:04,480 --> 00:02:08,480
+من صفات الصورة اللي هي إيش ال magnification ال
+
+37
+00:02:08,480 --> 00:02:12,440
+magnification ال magnification في عندنا تلت أنواع
+
+38
+00:02:12,440 --> 00:02:17,420
+من ال magnification أو التكبير ال three types are
+
+39
+00:02:17,420 --> 00:02:21,080
+considered in geometrical optics ال transfers
+
+40
+00:02:21,080 --> 00:02:26,350
+magnification و ال angular magnificationوالـ axial
+
+41
+00:02:26,350 --> 00:02:31,730
+magnification The ratio of the height of an image
+
+42
+00:02:31,730 --> 00:02:34,730
+to the height of the corresponding object is known
+
+43
+00:02:34,730 --> 00:02:39,370
+as Transverse Magnification نسبة ارتفاع الصورة
+
+44
+00:02:39,370 --> 00:02:44,710
+لارتفاع الجسم بتاعها اللي هي صورته يعتبر او هو
+
+45
+00:02:44,710 --> 00:02:48,250
+عبارة عن تعريف لـ Transverse Magnification هو
+
+46
+00:02:48,250 --> 00:02:52,350
+تعريف لـ Transverse MagnificationI have a body,
+
+47
+00:02:52,550 --> 00:02:55,050
+which is a candle, and I have an optical system,
+
+48
+00:02:55,350 --> 00:02:57,370
+and these are the components of a picture. A
+
+49
+00:02:57,370 --> 00:02:58,570
+person can tell me that the picture is upside
+
+50
+00:02:58,570 --> 00:03:01,170
+down. Now we are not discussing if the picture is
+
+51
+00:03:01,170 --> 00:03:04,270
+upside down or straight. We see that the picture
+
+52
+00:03:04,270 --> 00:03:07,730
+appears to be upright, and as I said beforeThe
+
+53
+00:03:07,730 --> 00:03:10,550
+magnification in the science of geometrical optics
+
+54
+00:03:10,550 --> 00:03:13,930
+can mean magnification and can mean diminution,
+
+55
+00:03:13,990 --> 00:03:18,550
+but for me it is called magnification We say the
+
+56
+00:03:18,550 --> 00:03:21,650
+definition of Transverse Magnification Transverse
+
+57
+00:03:21,650 --> 00:03:24,830
+Magnification is the first type of the three types
+
+58
+00:03:24,830 --> 00:03:27,650
+of magnification, which is the ratio of the height
+
+59
+00:03:27,650 --> 00:03:31,070
+of the image to the height of the objectThe ratio
+
+60
+00:03:31,070 --> 00:03:33,010
+of the height of the image to the height of the
+
+61
+00:03:33,010 --> 00:03:34,330
+object, excuse me, to the height of the object,
+
+62
+00:03:34,630 --> 00:03:37,470
+that is, if we say to transphase magnification,
+
+63
+00:03:37,890 --> 00:03:42,450
+what is equal as an equation? Image height over
+
+64
+00:03:42,450 --> 00:03:47,010
+object height, image height is divided by object
+
+65
+00:03:47,010 --> 00:03:49,470
+height, here we have the image height is 2 cm in
+
+66
+00:03:49,470 --> 00:03:55,380
+the image and the object height is 4 cmtwo
+
+67
+00:03:55,380 --> 00:03:59,180
+centimeters over four centimeters becomes half ..
+
+68
+00:03:59,180 --> 00:04:03,080
+becomes half .. so it is very important to have
+
+69
+00:04:03,080 --> 00:04:09,820
+clear things .. clear things Now to clarify more,
+
+70
+00:04:10,280 --> 00:04:20,400
+we want to say as follows .. we
+
+71
+00:04:20,400 --> 00:04:22,480
+want to try to measure a square of half
+
+72
+00:04:30,620 --> 00:04:36,140
+transphase magnification is equal to image height
+
+73
+00:04:36,140 --> 00:04:50,080
+which is 2 cm by object height which is 4 cm and
+
+74
+00:04:50,080 --> 00:04:54,620
+it is equal to of course there is a sign that we
+
+75
+00:04:54,620 --> 00:04:59,230
+will put fortransfers magnification to the x-axis
+
+76
+00:04:59,230 --> 00:05:02,810
+x means how big is the image, how many times, how
+
+77
+00:05:02,810 --> 00:05:11,270
+many times 2 by 4.5 and cm by cm goes away, it
+
+78
+00:05:11,270 --> 00:05:12,690
+doesn't differentiate because it's a percentage
+
+79
+00:05:12,690 --> 00:05:17,330
+and percentages don't differentiate, so I have to
+
+80
+00:05:17,330 --> 00:05:21,690
+transfer magnification to the high imagetransfers
+
+81
+00:05:21,690 --> 00:05:25,770
+magnification for this image is 1.5 x 1.5 x 1.5 x
+
+82
+00:05:25,770 --> 00:05:31,350
+1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1
+
+83
+00:05:31,350 --> 00:05:35,610
+.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5
+
+84
+00:05:35,610 --> 00:05:37,010
+x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x
+
+85
+00:05:37,010 --> 00:05:37,430
+1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1
+
+86
+00:05:37,430 --> 00:05:37,430
+.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5
+
+87
+00:05:37,430 --> 00:05:43,710
+x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x 1.5 x
+
+88
+00:05:43,710 --> 00:05:48,260
+1.5يعني لما بشوف إشارة X معناته أنا بتكلم عن ال
+
+89
+00:05:48,260 --> 00:05:52,800
+transfers magnification يعني كام مرة مكبر الصورة
+
+90
+00:05:52,800 --> 00:05:56,020
+مقارنة مع ال object؟ هنا نص مرة، إيش يعني لما أشوف
+
+91
+00:05:56,020 --> 00:06:04,450
+X نص؟ X نص يعني .. يعني ..Picture's height is half
+
+92
+00:06:04,450 --> 00:06:06,850
+the height of the object If we find in another
+
+93
+00:06:06,850 --> 00:06:11,810
+example that the picture is for example 6 cm Then
+
+94
+00:06:11,810 --> 00:06:14,650
+I want to multiply the image height which is 6 cm
+
+95
+00:06:14,650 --> 00:06:18,630
+by the object height which is 4 cm it becomes x
+
+96
+00:06:18,630 --> 00:06:22,790
+one and a third x one and a third or x one and a
+
+97
+00:06:22,790 --> 00:06:32,590
+half which is six over four which is ..one and a
+
+98
+00:06:32,590 --> 00:06:35,970
+half, one and a half, one and a half, one and a
+
+99
+00:06:35,970 --> 00:06:37,950
+half means that the image is very big and it is
+
+100
+00:06:37,950 --> 00:06:40,910
+half the size of the object Okay, if I find the
+
+101
+00:06:40,910 --> 00:06:49,110
+image, the height of the image is about four
+
+102
+00:06:49,110 --> 00:06:51,650
+centimeters, sometimes I say it transfers
+
+103
+00:06:51,650 --> 00:06:55,190
+magnification, it transfers magnification equals
+
+104
+00:06:55,190 --> 00:06:58,870
+the image heightthe height of the image which is 4
+
+105
+00:06:58,870 --> 00:07:02,530
+cm over the height of the object which is 4 cm 4
+
+106
+00:07:02,530 --> 00:07:08,450
+cm divided by 4 cm gives me x1 which means that
+
+107
+00:07:08,450 --> 00:07:10,570
+the height of the image is equal to the height of
+
+108
+00:07:10,570 --> 00:07:11,990
+the object which means that neither it is
+
+109
+00:07:11,990 --> 00:07:15,450
+magnified nor it is reduced, the magnification is
+
+110
+00:07:15,450 --> 00:07:21,210
+that it is really the object so what transfers
+
+111
+00:07:21,210 --> 00:07:25,230
+magnificationIt's the height of an image to the
+
+112
+00:07:25,230 --> 00:07:27,970
+height ratio, of course, and ratio means the
+
+113
+00:07:27,970 --> 00:07:30,010
+percentage, the percentage is not distinguished I
+
+114
+00:07:30,010 --> 00:07:33,850
+measure heights in centimeters, but when I divide
+
+115
+00:07:33,850 --> 00:07:36,050
+a centimeter by a centimeter, the centimeter goes
+
+116
+00:07:36,050 --> 00:07:38,190
+with the centimeter, and two over four here gives
+
+117
+00:07:38,190 --> 00:07:41,730
+me a half, that is, x, x half or multiply by half,
+
+118
+00:07:42,070 --> 00:07:45,410
+that is, the image in this case is half the height
+
+119
+00:07:45,410 --> 00:07:49,190
+of the object, half the height of the object, then
+
+120
+00:07:49,190 --> 00:07:53,690
+transfers magnificationImage height is equal to
+
+121
+00:07:53,690 --> 00:07:57,470
+object height Object and image heights are
+
+122
+00:07:57,470 --> 00:08:03,350
+measured perpendicular to the optical axis And by
+
+123
+00:08:03,350 --> 00:08:08,070
+convention are considered positive when the object
+
+124
+00:08:08,070 --> 00:08:12,470
+or image extends above the optical axis and
+
+125
+00:08:12,470 --> 00:08:16,170
+negative below the optical axis Let's go back to
+
+126
+00:08:16,170 --> 00:08:21,270
+the picture to correct our squareNow, I have two
+
+127
+00:08:21,270 --> 00:08:26,710
+very very very important things to know First of
+
+128
+00:08:26,710 --> 00:08:31,690
+all, the image height and the object height The
+
+129
+00:08:31,690 --> 00:08:33,730
+height of the image and the height of the object
+
+130
+00:08:33,730 --> 00:08:36,990
+must be measured vertically from the optical axis
+
+131
+00:08:36,990 --> 00:08:40,530
+In other words, this is my body, the vertical
+
+132
+00:08:40,530 --> 00:08:43,650
+height of this body is considered the object
+
+133
+00:08:43,650 --> 00:08:47,080
+heightThe vertical height of the image is
+
+134
+00:08:47,080 --> 00:08:49,480
+considered the image height You might say, well,
+
+135
+00:08:49,540 --> 00:08:51,820
+why did we measure the word vertical? That's it,
+
+136
+00:08:51,880 --> 00:08:54,000
+we say the height of the body and the height of
+
+137
+00:08:54,000 --> 00:08:57,140
+the image We say we measured it to know something
+
+138
+00:08:57,140 --> 00:09:01,200
+very important, that not all bodies are parallel I
+
+139
+00:09:01,200 --> 00:09:06,160
+might find an object or a curved bodyفإذا عندي جسم
+
+140
+00:09:06,160 --> 00:09:10,020
+مائل، نفرض عندي نخلة فيها ميلها، و هي الجسم، نخلة
+
+141
+00:09:10,020 --> 00:09:16,000
+مائلة، مابجيش أجيس ارتفاعها على طول جسم النخلة، لأ
+
+142
+00:09:16,000 --> 00:09:21,550
+من أعلى نقطة في النخلة بأسقط عمود أسقاطuntil I
+
+143
+00:09:21,550 --> 00:09:24,450
+reach the optical axis, the optical axis is the
+
+144
+00:09:24,450 --> 00:09:26,470
+reference line, it is the basis that I want to get
+
+145
+00:09:26,470 --> 00:09:30,270
+from it I drop a column from this sloping body or
+
+146
+00:09:30,270 --> 00:09:32,890
+from this sloping palm from the highest point in
+
+147
+00:09:32,890 --> 00:09:36,640
+it, I drop a column, the height of the columnIt is
+
+148
+00:09:36,640 --> 00:09:38,480
+the height of the palm tree in the science of
+
+149
+00:09:38,480 --> 00:09:41,040
+geometrical optics Not the length of the palm
+
+150
+00:09:41,040 --> 00:09:44,160
+tree, I say its height from the optical axis When
+
+151
+00:09:44,160 --> 00:09:46,920
+we say the height of a body from the surface of
+
+152
+00:09:46,920 --> 00:09:49,420
+the earth, we want to drop a column from this body
+
+153
+00:09:49,420 --> 00:09:52,520
+to the surface of the earth and we do not measure
+
+154
+00:09:52,520 --> 00:09:55,380
+the length of this body, how extended it is. We
+
+155
+00:09:55,380 --> 00:09:58,720
+have .. it can beI might have a body length of 10
+
+156
+00:09:58,720 --> 00:10:02,360
+cm, but the highest point in it is 2 cm away from
+
+157
+00:10:02,360 --> 00:10:05,000
+the optical axis, so I don't say the height is 10
+
+158
+00:10:05,000 --> 00:10:10,020
+cm, I say the height from the optical axis is 2 cm
+
+159
+00:10:10,020 --> 00:10:13,580
+high, 2 cm high Also, the picture might look
+
+160
+00:10:13,580 --> 00:10:16,280
+crooked, I mean a crooked picture, not necessarily
+
+161
+00:10:16,280 --> 00:10:20,600
+a regular picture, so I measure the height from ..
+
+162
+00:10:20,600 --> 00:10:23,210
+from .. from ..The highest point in it or if it is
+
+163
+00:10:23,210 --> 00:10:26,170
+overturned from the lowest point in it, I raise a
+
+164
+00:10:26,170 --> 00:10:29,050
+column until it reaches or I lower a column until
+
+165
+00:10:29,050 --> 00:10:32,950
+it reaches the optical axis, this column, this
+
+166
+00:10:32,950 --> 00:10:35,690
+column is the height of the image At that time,
+
+167
+00:10:35,830 --> 00:10:37,510
+when I determined the height of the image and
+
+168
+00:10:37,510 --> 00:10:39,790
+determined the height of the object, I calculate
+
+169
+00:10:39,790 --> 00:10:42,390
+the height of the image, its height, not its
+
+170
+00:10:42,390 --> 00:10:44,590
+lengthThe elevation of the image over the
+
+171
+00:10:44,590 --> 00:10:46,790
+elevation of the object gives me the transphase
+
+172
+00:10:46,790 --> 00:10:50,590
+magnification. This is the first thing. So the
+
+173
+00:10:50,590 --> 00:10:53,790
+vertical elevation of the object and the image is
+
+174
+00:10:53,790 --> 00:10:57,850
+what I use. The second thing, by convention, that
+
+175
+00:10:57,850 --> 00:11:02,570
+is, it was recognized or recognized in geometrical
+
+176
+00:11:02,570 --> 00:11:07,750
+optics that anything ..Irtifaa'u yamtad fawq ..
+
+177
+00:11:07,750 --> 00:11:12,190
+fawq ال optical axis يعتبر .. بنعطيله إشارة موجبة
+
+178
+00:11:12,190 --> 00:11:17,090
+بينما أي شيء سواء صورة أو جسم .. سواء صورة أو جسم
+
+179
+00:11:17,090 --> 00:11:22,070
+below the optical axis يعني جاي لتحت من ال optical
+
+180
+00:11:22,070 --> 00:11:27,170
+axis ارتفاعه بياخد إشارة minus إذا هنا ..Here it
+
+181
+00:11:27,170 --> 00:11:30,330
+is necessary to make an adjustment in the equation
+
+182
+00:11:30,330 --> 00:11:33,030
+that we wrote, we say that Transphase
+
+183
+00:11:33,030 --> 00:11:36,220
+Magnification is equal to Image HeightBut the
+
+184
+00:11:36,220 --> 00:11:38,820
+image is below the optical axis, so here we need
+
+185
+00:11:38,820 --> 00:11:45,420
+to put a minus sign So image height is minus two
+
+186
+00:11:45,420 --> 00:11:48,200
+centimeters, here the minus is not its quantity,
+
+187
+00:11:48,860 --> 00:11:52,640
+but it is below the optical axis On the object
+
+188
+00:11:52,640 --> 00:11:54,820
+height, the height of the object above the optical
+
+189
+00:11:54,820 --> 00:11:58,700
+axis remains without a sign or I can put a plus
+
+190
+00:11:58,700 --> 00:12:04,750
+sign Okay, minus two over four x minus halfهنا لما
+
+191
+00:12:04,750 --> 00:12:09,110
+بقول x معناته التكبير minus يعني الصورة مجلوبة أول
+
+192
+00:12:09,110 --> 00:12:13,110
+ما بشوف كلمة minus معناته الصورة مجلوبة بالنسبة لل
+
+193
+00:12:13,110 --> 00:12:17,360
+object ال object لفوق الصورة لتحتThe object above,
+
+194
+00:12:18,040 --> 00:12:20,580
+the object above the optical axis, the image below
+
+195
+00:12:20,580 --> 00:12:26,100
+it X minus half means the image is upside down, I
+
+196
+00:12:26,100 --> 00:12:28,900
+got it from the word minus And half of the object,
+
+197
+00:12:29,020 --> 00:12:31,920
+which is small, to half the height of the object
+
+198
+00:12:31,920 --> 00:12:33,980
+So if the height of the object is ten centimeters,
+
+199
+00:12:34,120 --> 00:12:35,900
+it will be five If the height of the object is
+
+200
+00:12:35,900 --> 00:12:38,100
+five centimeters, it will be two and a half We
+
+201
+00:12:38,100 --> 00:12:40,520
+have here in the example, the height of the object
+
+202
+00:12:40,520 --> 00:12:44,690
+is four centimetersThe height of the image is two
+
+203
+00:12:44,690 --> 00:12:47,700
+centimeters, so its height is half heightThe
+
+204
+00:12:47,700 --> 00:12:53,400
+object is an object and image heads are measured
+
+205
+00:12:53,400 --> 00:12:56,320
+perpendicular to the optical axis This is the
+
+206
+00:12:56,320 --> 00:12:58,340
+first thing, it is measured vertically from the
+
+207
+00:12:58,340 --> 00:13:01,900
+highest point or lowest point by dropping a column
+
+208
+00:13:01,900 --> 00:13:05,140
+on the optical axis and we measure the heights of
+
+209
+00:13:05,140 --> 00:13:07,860
+the body and the image and we divide the height of
+
+210
+00:13:07,860 --> 00:13:10,820
+the image by the height of the body The height of
+
+211
+00:13:10,820 --> 00:13:13,840
+the image by the height of the body by convention,
+
+212
+00:13:14,080 --> 00:13:17,380
+of course, is also known asare considered positive
+
+213
+00:13:17,380 --> 00:13:21,270
+on the object or image.extends above the optical
+
+214
+00:13:21,270 --> 00:13:24,090
+axis سواء ال object أو ال image إذا كان فوق ال
+
+215
+00:13:24,090 --> 00:13:28,190
+optical axis ساعتها هنعطيهم إشارة أو هذا الارتفاع
+
+216
+00:13:28,190 --> 00:13:31,910
+هنعطيه إشارة موجبة إذا كانوا تحت ال optical axis
+
+217
+00:13:31,910 --> 00:13:35,890
+ساعتها هنعطيهم إشارة سالبة ممكن إنسان يتعجب يقول
+
+218
+00:13:35,890 --> 00:13:39,670
+ممكن ال object يكون تحت ال optical axis أه ممكن و
+
+219
+00:13:39,670 --> 00:13:43,070
+هذا هنشرحه إن شاء الله في وقته ال image ممكن تكون
+
+220
+00:13:43,070 --> 00:13:46,530
+فوق أو تحت نعم كل من ال object أو ال image ممكن
+
+221
+00:13:46,530 --> 00:13:50,090
+يكون فوق ال optical axisوممكن يكون تحت ال optical
+
+222
+00:13:50,090 --> 00:13:54,890
+axis و هذا هيجيله وقته للتعرف عليه .. للتعرف عليه
+
+223
+00:13:55,380 --> 00:13:58,720
+if for example let's take an example if the object
+
+224
+00:13:58,720 --> 00:14:02,680
+height is plus 6 cm when we say plus 6 cm it means
+
+225
+00:14:02,680 --> 00:14:07,000
+above the optical axis the object height is plus 6
+
+226
+00:14:07,000 --> 00:14:12,560
+cm and the image height is minus 3 cm then the
+
+227
+00:14:12,560 --> 00:14:16,440
+transference magnification is equal to minus half
+
+228
+00:14:16,440 --> 00:14:19,780
+to make it clear as an equation if we get used to
+
+229
+00:14:19,780 --> 00:14:24,120
+solving equations I will add a strip here and I
+
+230
+00:14:24,120 --> 00:14:28,870
+will start I write, let's say in the example they
+
+231
+00:14:28,870 --> 00:14:34,030
+gave us they gave us the object plus 6 cm and the
+
+232
+00:14:34,030 --> 00:14:38,670
+image minus 3 cm let's say transfers magnification
+
+233
+00:14:38,670 --> 00:14:48,330
+equals image height over object height object
+
+234
+00:14:48,330 --> 00:14:54,130
+let's write it correctly object height and equals
+
+235
+00:14:54,130 --> 00:14:54,670
+of course
+
+236
+00:14:58,780 --> 00:15:04,180
+image height minus 3cm
+
+237
+00:15:04,180 --> 00:15:07,420
+because the image is below the optical axis
+
+238
+00:15:13,020 --> 00:15:16,840
+and equals first thing when I calculate the
+
+239
+00:15:16,840 --> 00:15:19,440
+transference magnification I have to put an X sign
+
+240
+00:15:19,440 --> 00:15:22,820
+X means magnified like this because some devices
+
+241
+00:15:22,820 --> 00:15:26,060
+like cameras and some phones or when I zoom in I
+
+242
+00:15:26,060 --> 00:15:28,400
+find a sign on the edge of the screen that shows
+
+243
+00:15:28,400 --> 00:15:31,920
+me how many times the image is magnified and I
+
+244
+00:15:31,920 --> 00:15:37,160
+magnify it how many times so X minus over plus is
+
+245
+00:15:37,160 --> 00:15:42,660
+minus three over six which is half zero point five
+
+246
+00:15:44,590 --> 00:15:47,770
+Okay, centimeter by centimeter it goes x minus
+
+247
+00:15:47,770 --> 00:15:53,670
+half, x minus half means that we are talking about
+
+248
+00:15:53,670 --> 00:15:55,770
+an inverted image, we know that it is inverted
+
+249
+00:15:55,770 --> 00:15:59,230
+because of the minus sign and it is smaller than
+
+250
+00:15:59,230 --> 00:16:02,230
+half the height of the object, higher than half
+
+251
+00:16:02,230 --> 00:16:05,570
+the height of the object meaning that the image is
+
+252
+00:16:05,570 --> 00:16:11,790
+inverted and half as large as the object Now we
+
+253
+00:16:11,790 --> 00:16:15,810
+come to a pointNext, it is known that the objects
+
+254
+00:16:15,810 --> 00:16:20,610
+that we know or see in our life have no distance
+
+255
+00:16:20,610 --> 00:16:22,130
+from each other, which means that we are correct
+
+256
+00:16:22,130 --> 00:16:24,990
+when we draw in geometrical objects, here we can
+
+257
+00:16:24,990 --> 00:16:29,030
+see the object or we will represent it with an
+
+258
+00:16:29,030 --> 00:16:32,510
+arrow from now on, so maybe the arrow is what
+
+259
+00:16:32,510 --> 00:16:35,270
+indicates the object, right? But objects are known
+
+260
+00:16:35,270 --> 00:16:38,430
+to be triangular, or most likely to be triangular
+
+261
+00:16:38,430 --> 00:16:42,150
+in dimensionsAnd maybe some people consider it as
+
+262
+00:16:42,150 --> 00:16:46,430
+a dispute that it's two dimensions, for example,
+
+263
+00:16:46,530 --> 00:16:50,310
+the A4 paper has length and width, the rest of the
+
+264
+00:16:50,310 --> 00:16:54,200
+objects, for example, I havewooden box, or metal,
+
+265
+00:16:54,580 --> 00:16:59,240
+or glass,
+
+266
+00:16:59,640 --> 00:17:03,640
+for example All of these are triple dimensions,
+
+267
+00:17:03,780 --> 00:17:07,020
+they have length, width, and height The transfers
+
+268
+00:17:07,020 --> 00:17:10,280
+magnification applies to linear dimensions
+
+269
+00:17:10,280 --> 00:17:14,980
+Transfers magnification applies to all dimensions
+
+270
+00:17:14,980 --> 00:17:17,780
+of the body In other words, if I have a body twice
+
+271
+00:17:17,780 --> 00:17:18,540
+the dimensions
+
+272
+00:17:21,340 --> 00:17:25,240
+يعني مثلا قلنا عندنا ورقة طولها أربع صانطي أو
+
+273
+00:17:25,240 --> 00:17:29,540
+خلينا نقول عرضها أربع صانطي و طولها ستة صانطي
+
+274
+00:17:29,540 --> 00:17:34,260
+اعتبرناها object imaged يعني تم تصويرها with a
+
+275
+00:17:34,260 --> 00:17:39,960
+magnification of two معناتهdouble the image of
+
+276
+00:17:39,960 --> 00:17:46,300
+this object, we have a paper 4x6 cm long in width,
+
+277
+00:17:46,840 --> 00:17:50,140
+we took a picture of the paper, we considered the
+
+278
+00:17:50,140 --> 00:17:53,420
+paper as the object, as the body, and we made a
+
+279
+00:17:53,420 --> 00:17:57,710
+picture of it through a lensحنحصل على صورة مكبرة
+
+280
+00:17:57,710 --> 00:18:01,410
+مرتين ال magnification ال transfers magnification
+
+281
+00:18:01,410 --> 00:18:05,310
+مرتين اش يعني مرتين؟ مين من البعدين هدول اتكبر
+
+282
+00:18:05,310 --> 00:18:10,770
+مرتين؟ ال 4 cm اللي هي العرض ولا ال 6 cm الطول لأ
+
+283
+00:18:10,770 --> 00:18:15,090
+هم التنين كل واحد منهم اتكبر مرتين يعني ال 4 cm في
+
+284
+00:18:15,090 --> 00:18:19,910
+الصورة صارت 8 cm و ال 6 cm في الصورة صارت 12 cm
+
+285
+00:18:19,910 --> 00:18:24,940
+اذا الصورة هتكون 8 cm في 12 cmOkay, the area of
+
+286
+00:18:24,940 --> 00:18:27,040
+​​the image compared to the area of ​​the object
+
+287
+00:18:27,040 --> 00:18:32,960
+Let's solve this example and this issue will be
+
+288
+00:18:32,960 --> 00:18:36,160
+clarified So, we say as follows, the area of
+
+289
+00:18:36,160 --> 00:18:48,360
+​​this .. we say the area of ​​the object is equal
+
+290
+00:18:48,360 --> 00:18:51,800
+to four times
+
+291
+00:19:01,310 --> 00:19:14,270
+4 x 6 is equal to 24 cm2 while
+
+292
+00:19:14,270 --> 00:19:20,610
+the area of the image is
+
+293
+00:19:20,610 --> 00:19:25,710
+equal to 4 cm which is equal to 8 cm
+
+294
+00:19:31,680 --> 00:19:35,920
+Darb 12 cm because the second dimension was
+
+295
+00:19:35,920 --> 00:19:45,720
+enlarged twice as well, 12 cm is equal to 96
+
+296
+00:19:45,720 --> 00:19:50,620
+cm²
+
+297
+00:19:50,620 --> 00:19:55,800
+So all of the dimensionsكل من الأبعاد اتضاعف
+
+298
+00:19:55,800 --> 00:20:00,140
+مرتين، العرض اتضاعف مرتين، والطول اتضاعف مرتين،
+
+299
+00:20:00,140 --> 00:20:03,860
+إذا المساحة الكلية هتتضاعف جد إيش؟ بيجسم مساحة
+
+300
+00:20:03,860 --> 00:20:07,460
+الصورة ع مساحة ال object، المساحة الكلية هتكون
+
+301
+00:20:07,460 --> 00:20:21,880
+تضاعفت، تضاعف في المساحة يساوي مساحة الصورة تقسيم
+
+302
+00:20:22,740 --> 00:20:26,640
+The area of the body, which is considered to be a
+
+303
+00:20:26,640 --> 00:20:35,160
+two-dimensional body is equal to 96 cm²
+
+304
+00:20:35,160 --> 00:20:38,180
+over 24
+
+305
+00:20:51,850 --> 00:20:57,230
+Square centimeter and it's equal to four times,
+
+306
+00:20:57,410 --> 00:21:04,690
+four times, four times and x is four No, it was x
+
+307
+00:21:04,690 --> 00:21:09,630
+with flowers, x is four, four times, four times,
+
+308
+00:21:09,770 --> 00:21:16,720
+it doubled in space four timesمساحة الجسم، جد
+
+309
+00:21:16,720 --> 00:21:20,720
+مساحة الجسم. إذا ال transfers magnification
+
+310
+00:21:20,720 --> 00:21:24,400
+applies to linear dimensions لكل الإرتفاعات أو
+
+311
+00:21:24,400 --> 00:21:29,390
+المجسات أو الحدود بتاعت ال object. For example4 cm
+
+312
+00:21:29,390 --> 00:21:32,950
+x 6 cm object imaged with a magnification of 2
+
+313
+00:21:32,950 --> 00:21:38,610
+both
+
+314
+00:21:38,610 --> 00:21:42,930
+width
+
+315
+00:21:42,930 --> 00:21:50,910
+and length double yielding
+
+316
+00:21:50,910 --> 00:21:56,610
+means 4 fold increase in image areaFour times more
+
+317
+00:21:56,610 --> 00:21:59,710
+than the area of the image compared to the area of
+
+318
+00:21:59,710 --> 00:22:03,750
+the object Compared to the area of the object
+
+319
+00:22:03,750 --> 00:22:08,970
+Generally, the multiplication sign is used to
+
+320
+00:22:08,970 --> 00:22:12,050
+indicate magnification When I see the
+
+321
+00:22:12,050 --> 00:22:13,070
+multiplication sign, I know that there is a
+
+322
+00:22:13,070 --> 00:22:15,910
+magnification for the image either bigger than the
+
+323
+00:22:15,910 --> 00:22:20,580
+body or smaller than the bodyor جد الجسم حسب الرقم
+
+324
+00:22:20,580 --> 00:22:23,600
+اللي أنا بشوفه بعدها، X معناته فيه magnification،
+
+325
+00:22:23,600 --> 00:22:27,440
+إذا قولنا X واحد معناته الصورة جد الجسم، لا أصغر
+
+326
+00:22:27,440 --> 00:22:32,780
+ولا أكبر، إذا كونت أقل من واحد معناته فيه تصغيرإذا
+
+327
+00:22:32,780 --> 00:22:36,460
+كانت أكبر من واحد، معناته فيه تكبير، يعني بمعنى
+
+328
+00:22:36,460 --> 00:22:42,300
+زيادة في اللي هو التكبير بتاع الصورة، زيادة في
+
+329
+00:22:42,300 --> 00:22:45,820
+التكبير بتاع الصورة، هنتوقف عند هذه النقطة و
+
+330
+00:22:45,820 --> 00:22:49,280
+هنستكمل ان شاء الله المرة القادمة و يعطيكم العافية
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/eDumwBvz0Bg_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/eDumwBvz0Bg_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..be87f6c46cbb186317fe97530596fea6f14252f0
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/eDumwBvz0Bg_raw.srt
@@ -0,0 +1,132 @@
+1
+00:00:01,800 --> 00:00:10,360
+بسم الله الرحمن الرحيم بسم
+
+2
+00:00:10,360 --> 00:00:14,460
+الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله
+
+3
+00:00:14,460 --> 00:00:15,860
+الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله
+
+4
+00:00:15,860 --> 00:00:15,860
+الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله
+
+5
+00:00:15,860 --> 00:00:15,900
+الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله
+
+6
+00:00:15,900 --> 00:00:17,420
+الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله
+
+7
+00:00:17,420 --> 00:00:22,460
+الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله
+
+8
+00:00:22,460 --> 00:00:26,180
+الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله
+
+9
+00:00:26,180 --> 00:00:28,900
+الرحمن الرحيم بسم الله الرحمن الرحيم بسم Allah
+
+10
+00:00:34,470 --> 00:00:41,110
+N is equal to 1 and
+
+11
+00:00:41,110 --> 00:00:52,610
+Uncertainty is also equal to 1 Uncertainty
+
+12
+00:00:52,610 --> 00:00:53,630
+and Uncertainty must be written in small letters
+
+13
+00:00:53,630 --> 00:00:57,770
+as it is known in Geometric Optics and Refractive
+
+14
+00:00:57,770 --> 00:01:03,920
+Indexnow to solve this problem and get the power
+
+15
+00:01:03,920 --> 00:01:16,520
+of the lens we
+
+16
+00:01:16,520 --> 00:01:23,140
+say negative n by o by
+
+17
+00:01:23,140 --> 00:01:29,010
+o plus the power which is unknown which is
+
+18
+00:01:29,010 --> 00:01:43,830
+unconditional over I minus
+
+19
+00:01:43,830 --> 00:01:55,890
+one over O which is one meter plus the powerequal
+
+20
+00:01:55,890 --> 00:02:08,930
+to 1 over I which is quarter meter minus 1
+
+21
+00:02:08,930 --> 00:02:13,110
+over 1 gives minus 1 and when meter goes up it
+
+22
+00:02:13,110 --> 00:02:17,470
+becomes meter minus 1 which is diopter plus power
+
+23
+00:02:17,470 --> 00:02:20,670
+equals
+
+24
+00:02:22,520 --> 00:02:25,640
+one over four means four plus four of course
+
+25
+00:02:25,640 --> 00:02:34,120
+meters minus one means diopter now the power we
+
+26
+00:02:34,120 --> 00:02:41,480
+put it on the left side plus four diopter minus
+
+27
+00:02:41,480 --> 00:02:44,720
+one diopter this minus one diopter when it moves
+
+28
+00:02:44,720 --> 00:02:49,990
+to the other side it becomes plus one diopterيعني
+
+29
+00:02:49,990 --> 00:02:55,430
+بمعنى آخر المجموع أربعة ديوبتر وواحد ديوبتر كلهم
+
+30
+00:02:55,430 --> 00:03:00,190
+ال plus يساوي plus
+
+31
+00:03:00,190 --> 00:03:05,110
+خمسة ديوبتر هذا هو الجواب النهائي اللي هو قوة
+
+32
+00:03:05,110 --> 00:03:09,310
+العدسة تساوي plus خمسة ديوبتر هيك تمتهي المسألة
+
+33
+00:03:09,310 --> 00:03:12,990
+ويعطيكم العافية والسلام عليكم ورحمة الله وبركة
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/f1iSSHrXhl0_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/f1iSSHrXhl0_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d869a002f510442a128c4036561521b425ef4172
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/f1iSSHrXhl0_raw.srt
@@ -0,0 +1,1216 @@
+1
+00:00:01,920 --> 00:00:07,480
+بسم الله الرحمن الرحيم، التمرين اليوم بس عشان يوضح
+
+2
+00:00:07,480 --> 00:00:12,940
+الفرق بين ال transfers magnification و ال angular
+
+3
+00:00:12,940 --> 00:00:15,900
+magnification لنفس ال optical system، كيف ال
+
+4
+00:00:15,900 --> 00:00:20,140
+transfers magnification ممكن يكون تصغير، بينما ال
+
+5
+00:00:20,140 --> 00:00:23,720
+angular magnification ممكن يكون تكبير، عندنا مثال،
+
+6
+00:00:23,720 --> 00:00:28,140
+بدنا نحله و نشوف كيف نفهم الفرق بين ال transfers
+
+7
+00:00:28,140 --> 00:00:32,330
+magnification و ال angular magnificationبناء
+
+8
+00:00:32,330 --> 00:00:36,550
+ارتفاعه مائة متر, مائة متر يعني تقريبا تلاتة و
+
+9
+00:00:36,550 --> 00:00:41,330
+تلاتين طابق، كل طابق ارتفاعه تقريبا تلاتة متر، اذا
+
+10
+00:00:41,330 --> 00:00:46,210
+بناء ارتفاعه عن الأرض مائة متر، في عندي عدسة بدنا
+
+11
+00:00:46,210 --> 00:00:49,930
+نتصور عشان الحسابات تطلع عندي يعني مافيش فيها كسور
+
+12
+00:00:49,930 --> 00:00:57,470
+كتير، العدسة قوتها plus مائة و واحد من مية ديوبتر
+
+13
+00:00:58,100 --> 00:01:00,800
+It is usually possible to find plus 100, but 101
+
+14
+00:01:00,800 --> 00:01:02,840
+out of 100 is hard to find, but we can imagine
+
+15
+00:01:02,840 --> 00:01:05,320
+that it exists. In order to ensure that the
+
+16
+00:01:05,320 --> 00:01:07,080
+calculations do not have shortcomings and do not
+
+17
+00:01:07,080 --> 00:01:10,340
+have many problems. We say we want to calculate
+
+18
+00:01:10,340 --> 00:01:12,960
+the transphase magnification of this optical
+
+19
+00:01:12,960 --> 00:01:17,360
+system, of the image that is formed. We say U is
+
+20
+00:01:17,360 --> 00:01:23,360
+equal to negative N over O and equals
+
+21
+00:01:28,270 --> 00:01:33,730
+Minus 1 over 100 meters is the object distance,
+
+22
+00:01:33,830 --> 00:01:48,650
+which is 100 meters Minus
+
+23
+00:01:48,650 --> 00:01:53,930
+1 over 100 meters is
+
+24
+00:01:53,930 --> 00:01:57,550
+equal
+
+25
+00:01:57,550 --> 00:02:05,590
+to minus 1 out of 100 diopters at the front
+
+26
+00:02:05,590 --> 00:02:08,110
+surface of the lens, we write minus 1 out of 100
+
+27
+00:02:08,110 --> 00:02:17,110
+diopters minus 1 out of 100 diopters at the front
+
+28
+00:02:17,110 --> 00:02:22,530
+surface of the lens, we write minus
+
+29
+00:02:22,530 --> 00:02:26,570
+1 out of 100 diopters at the front surface of the
+
+30
+00:02:26,570 --> 00:02:28,810
+lens, we write minus 1 out of 100 dioptersعندي
+
+31
+00:02:28,810 --> 00:02:32,570
+العدسة قوتها plus واحد .. مية .. مية .. مية
+
+32
+00:02:32,570 --> 00:02:40,350
+diopter و واحد من مية diopter فال V إيش هتكون؟
+
+33
+00:02:40,350 --> 00:02:44,710
+ال
+
+34
+00:02:44,710 --> 00:02:48,530
+V هتكون U
+
+35
+00:02:48,530 --> 00:02:52,850
+زائد P تساوي V
+
+36
+00:02:56,430 --> 00:03:02,410
+minus one of one hundred diopters plus one hundred
+
+37
+00:03:02,410 --> 00:03:09,690
+point one of one hundred diopters equals V so V
+
+38
+00:03:09,690 --> 00:03:15,950
+equals plus one hundred diopters on the back of
+
+39
+00:03:15,950 --> 00:03:22,590
+the lens I write V equals V equals plus one
+
+40
+00:03:22,590 --> 00:03:27,770
+hundred diopters As long as the light comes out
+
+41
+00:03:27,770 --> 00:03:30,690
+with a plurality plus, meaning it is collected,
+
+42
+00:03:30,830 --> 00:03:33,210
+meaning it will form a picture I want to know the
+
+43
+00:03:33,210 --> 00:03:38,090
+location of the picture I to equal unconditional
+
+44
+00:03:38,090 --> 00:03:42,990
+on V and
+
+45
+00:03:42,990 --> 00:03:50,050
+equals one over plus one hundred diopters and
+
+46
+00:03:50,050 --> 00:03:58,550
+equals plus one of one hundredmeter and it is
+
+47
+00:03:58,550 --> 00:04:03,470
+equal to a plus one centimeter which means that
+
+48
+00:04:03,470 --> 00:04:05,610
+the diameter of the lens is one centimeter this
+
+49
+00:04:05,610 --> 00:04:08,650
+distance is one centimeter okay let's go to
+
+50
+00:04:08,650 --> 00:04:11,910
+transference magnification transference
+
+51
+00:04:11,910 --> 00:04:15,530
+magnification is equal to either image distance
+
+52
+00:04:15,530 --> 00:04:21,270
+over object distance or u over v if we say image
+
+53
+00:04:21,270 --> 00:04:32,380
+distance image distanceon object distance which is
+
+54
+00:04:32,380 --> 00:04:35,740
+equal to image distance one centimeter which is
+
+55
+00:04:35,740 --> 00:04:42,440
+one out of one hundred meters plus one out of one
+
+56
+00:04:42,440 --> 00:04:46,460
+hundred meters on
+
+57
+00:04:46,460 --> 00:04:56,450
+the object distance minus one hundred metersويساوي
+
+58
+00:04:56,450 --> 00:05:00,930
+X الان
+
+59
+00:05:00,930 --> 00:05:06,750
+plus على minus minus اذا الصورة مجلوبة الصورة
+
+60
+00:05:06,750 --> 00:05:12,830
+مجلوبة الان
+
+61
+00:05:12,830 --> 00:05:16,830
+واحد من مية على مية يعني واحد من عشر تلافين شوف ال
+
+62
+00:05:16,830 --> 00:05:17,370
+calculator
+
+63
+00:05:24,500 --> 00:05:29,500
+واحد من مية تقسيم
+
+64
+00:05:29,500 --> 00:05:34,000
+مية يساوي
+
+65
+00:05:34,000 --> 00:05:41,780
+واحد من عشر تلف، اذا واحد
+
+66
+00:05:41,780 --> 00:05:46,320
+من عشرة ألف، اذا ال transfers magnification هي
+
+67
+00:05:49,500 --> 00:05:52,720
+What does 1 out of 10,000 mean? The picture is
+
+68
+00:05:52,720 --> 00:06:03,560
+upside down because the sign is minus X
+
+69
+00:06:03,560 --> 00:06:08,940
+minus 1 out of 10,000 1 out of 10,000 of the
+
+70
+00:06:08,940 --> 00:06:11,740
+height of the object The height of the object is
+
+71
+00:06:11,740 --> 00:06:12,280
+100 meters
+
+72
+00:06:19,280 --> 00:06:22,180
+100 meters when converted to centimeters is 10,000
+
+73
+00:06:22,180 --> 00:06:27,040
+centimeters If the object is 10,000 times the
+
+74
+00:06:27,040 --> 00:06:28,940
+image, then the height of the image is 1
+
+75
+00:06:28,940 --> 00:06:35,440
+centimeter, which is equal to 1 centimeter So the
+
+76
+00:06:35,440 --> 00:06:38,600
+image is very, very small compared to the object
+
+77
+00:06:38,600 --> 00:06:42,380
+The image is very small compared to the object The
+
+78
+00:06:42,380 --> 00:06:45,760
+height of the object is 10,000 centimeters, and
+
+79
+00:06:45,760 --> 00:06:48,940
+the height of the image is 1 centimeterThis is
+
+80
+00:06:48,940 --> 00:06:51,640
+what transfers magnification. So this optical
+
+81
+00:06:51,640 --> 00:06:57,920
+system gave me a very small image. Can this image
+
+82
+00:06:57,920 --> 00:07:03,200
+appear bigger than the object itself? This is
+
+83
+00:07:03,200 --> 00:07:06,520
+true. This is angular magnification. How much will
+
+84
+00:07:06,520 --> 00:07:08,940
+this image make a corner with my eye? Let's see as
+
+85
+00:07:08,940 --> 00:07:14,420
+follows. This is my eye in this situation. It
+
+86
+00:07:14,420 --> 00:07:14,760
+moves away.
+
+87
+00:07:17,640 --> 00:07:21,480
+My eye is one meter, one hundred centimeters away
+
+88
+00:07:21,480 --> 00:07:24,700
+from the image. One looks at the image. When you
+
+89
+00:07:24,700 --> 00:07:27,220
+look at the optical system, you look at the image
+
+90
+00:07:27,220 --> 00:07:29,740
+that is formed by the optical system. If you look
+
+91
+00:07:29,740 --> 00:07:33,020
+at the object directly, it means that you don't
+
+92
+00:07:33,020 --> 00:07:35,360
+need the optical system. The optical system to
+
+93
+00:07:35,360 --> 00:07:38,920
+make me a picture to look at it. Okay, if my eye
+
+94
+00:07:38,920 --> 00:07:42,600
+is one hundred centimeters awayThe height of the
+
+95
+00:07:42,600 --> 00:07:45,240
+image is one centimeter. How much does the image
+
+96
+00:07:45,240 --> 00:07:47,980
+make a corner with my eye? This is the angle that
+
+97
+00:07:47,980 --> 00:07:49,240
+the image makes with my eye.
+
+98
+00:07:52,900 --> 00:07:55,040
+This is the angle that the image makes with my eye
+
+99
+00:07:55,040 --> 00:07:57,060
+that I point to. Which is limited between the
+
+100
+00:07:57,060 --> 00:08:01,800
+optical axis and this line. In return, one
+
+101
+00:08:01,800 --> 00:08:03,460
+centimeter and the neighbor is one hundred
+
+102
+00:08:03,460 --> 00:08:07,920
+centimeters. So under the angle.Under the corner 1
+
+103
+00:08:07,920 --> 00:08:11,460
+over 100 means 1 out of 100 Ok, how much is the
+
+104
+00:08:11,460 --> 00:08:15,820
+corner itself? Let's see Shift-10 We need another
+
+105
+00:08:15,820 --> 00:08:24,620
+calculator It's
+
+106
+00:08:24,620 --> 00:08:32,220
+still in the calculator, it helps more We
+
+107
+00:08:32,220 --> 00:08:34,660
+need Shift-10 1 out of 100
+
+108
+00:08:45,200 --> 00:08:49,540
+Takriban noos degree, takriban noos degree, تعمل
+
+109
+00:08:49,540 --> 00:08:52,780
+معين أو سبع .. سبعة و خمسين من مية degree طيب
+
+110
+00:08:52,780 --> 00:08:59,220
+ماشي، الآن السؤال التاني، لو أنا جربت عيني لنص
+
+111
+00:08:59,220 --> 00:09:04,680
+متر، يعني صرت أطلع على الصورة من بعد نص متر، مش
+
+112
+00:09:04,680 --> 00:09:07,020
+خمسين .. مش ميت صنطي من خمسين صنطي
+
+113
+00:09:12,980 --> 00:09:17,080
+يعني هذه المسافة أنا بتطلع دائما على الصورة ماليش
+
+114
+00:09:17,080 --> 00:09:21,020
+علاقة هي جديش بالنسبة لل object ماعلي علاقة هي
+
+115
+00:09:21,020 --> 00:09:33,400
+جديش بالنسبة لل object خمسين
+
+116
+00:09:33,400 --> 00:09:34,340
+صنطة
+
+117
+00:09:42,070 --> 00:09:45,250
+الزاوية كبرت شوي، كيف نعرف الزاوية؟ الزاوية في
+
+118
+00:09:45,250 --> 00:09:47,790
+الأول كانت نص degree أو سبعة و خمسين من مية
+
+119
+00:09:47,790 --> 00:09:52,850
+degree، الآن أنا جربت عيني، فجداش صار هذه الصورة
+
+120
+00:09:52,850 --> 00:09:56,490
+تعمل معاني زاوية، بنشوف كيف، واحد على خمسين يعني
+
+121
+00:09:56,490 --> 00:10:01,810
+اتنين من مية، بنقول shift
+
+122
+00:10:01,810 --> 00:10:05,210
+ten اتنين من مية جداش يعني
+
+123
+00:10:11,410 --> 00:10:17,870
+it became 1.1 degrees with my eyes ok, I tried
+
+124
+00:10:17,870 --> 00:10:23,250
+more with my eyes I left it at a distance of a
+
+125
+00:10:23,250 --> 00:10:25,670
+quarter of a meter at a distance of a quarter of a
+
+126
+00:10:25,670 --> 00:10:30,270
+meter let's just move this away a little instead
+
+127
+00:10:30,270 --> 00:10:33,010
+of 50 centimeters I started to look at a distance
+
+128
+00:10:33,010 --> 00:10:41,320
+of 25 centimeters 25 centimetersانا عينى بعيدة عن
+
+129
+00:10:41,320 --> 00:10:47,640
+الصورة
+
+130
+00:10:47,640 --> 00:10:51,420
+اللى انا بتطلع عليها فكبرت الزاوية جربنا شوية أول
+
+131
+00:10:51,420 --> 00:10:55,980
+إشي خلّينا نحرق هذا شوية ل 25 cm أصبحت الزاوية
+
+132
+00:10:55,980 --> 00:10:59,900
+جاعدة بتكبر جربت؟
+
+133
+00:11:01,210 --> 00:11:07,730
+Okay, 25 cm is equivalent to how much? 25 cm is
+
+134
+00:11:07,730 --> 00:11:12,510
+equivalent to the square of this angle. The height
+
+135
+00:11:12,510 --> 00:11:15,730
+of the picture is 1 cm and the square is 25 cm. 1
+
+136
+00:11:15,730 --> 00:11:23,650
+over 25 means 4 out of 100. So, shift down 4
+
+137
+00:11:23,650 --> 00:11:28,550
+out of 100 and
+
+138
+00:11:28,550 --> 00:11:34,250
+equal The angle doubled from 1.1 degrees to 2.2
+
+139
+00:11:34,250 --> 00:11:40,970
+degrees Ok, I want to keep my eye 10 cm away from
+
+140
+00:11:40,970 --> 00:11:43,990
+the
+
+141
+00:11:43,990 --> 00:11:49,430
+image I'm looking at 10
+
+142
+00:11:49,430 --> 00:11:55,610
+cm away And
+
+143
+00:11:55,610 --> 00:11:59,290
+we try here The angle became bigger
+
+144
+00:12:03,250 --> 00:12:10,610
+Picture, okay, then my eye is 10 cm away from the
+
+145
+00:12:10,610 --> 00:12:14,670
+picture, the angle is 1 cm, which is the height of
+
+146
+00:12:14,670 --> 00:12:18,410
+the picture by 10 cm, 1 by 10 is 1 out of 10,
+
+147
+00:12:18,550 --> 00:12:21,690
+which is 10% Shift down to 10%
+
+148
+00:12:31,690 --> 00:12:38,710
+تساوي لأ هدى واحد من مية أسف مرة تانية بنقول shift
+
+149
+00:12:38,710 --> 00:12:42,670
+tan العشرة
+
+150
+00:12:42,670 --> 00:12:51,950
+في المية اللى واحد من عشرة أسف برضه shift
+
+151
+00:12:51,950 --> 00:12:55,790
+tan واحد
+
+152
+00:12:55,790 --> 00:13:02,090
+من عشرة يساوي أصبحتBadal mahi 2 و 2 من 10 درجه، 5
+
+153
+00:13:02,090 --> 00:13:07,430
+و 7 من 10 درجه طيب، لو أنا حاطط .. مجرب عيني من
+
+154
+00:13:07,430 --> 00:13:13,290
+العدسة كتير أو من الصورة كتير Badal
+
+155
+00:13:13,290 --> 00:13:20,550
+10 سانتي، واحد سانتي، لأ إيه كان واحد متر؟ إيه كان
+
+156
+00:13:20,550 --> 00:13:28,940
+واحد سانت؟ يعني أنا بعيد عن الصورةمقدار واحد صنطي،
+
+157
+00:13:28,940 --> 00:13:33,520
+مقدار واحد صنطي، عيني جربات، بتطلع الصورة من جريب
+
+158
+00:13:33,520 --> 00:13:37,560
+كتير، انسان بتطلع صورة ال object، واحنا بنطلع من
+
+159
+00:13:37,560 --> 00:13:40,340
+العدسة، احنا مستحيل نشوف ال object حقيقة، احنا
+
+160
+00:13:40,340 --> 00:13:44,980
+بنطلع على صورة، تمام، الان، انا بعيد عن الصورة
+
+161
+00:13:44,980 --> 00:13:51,360
+واحد صنطي، اذا نظل الزاوية واحد على واحد، واحد على
+
+162
+00:13:51,360 --> 00:13:59,550
+واحدشوف ال calculator، بدنا نجيب الزاوية، بنقول
+
+163
+00:13:59,550 --> 00:14:05,810
+مقلوب الظل بطلّع ليه الزاوية واحد على واحد يعني
+
+164
+00:14:05,810 --> 00:14:14,790
+واحد، ظل الواحد يساوي،
+
+165
+00:14:14,790 --> 00:14:21,250
+يساوي خمسة واربعين درجة، خمسة واربعين درجة، طيب
+
+166
+00:14:21,670 --> 00:14:23,410
+until now we didn't understand the relation
+
+167
+00:14:23,410 --> 00:14:27,050
+between transference magnification and angular
+
+168
+00:14:27,050 --> 00:14:33,950
+magnification now we can say that this body or
+
+169
+00:14:33,950 --> 00:14:39,730
+this picture makes a 45 degree angle with my eye
+
+170
+00:14:39,730 --> 00:14:45,430
+my eye away from it is 1 cm my eye away from the
+
+171
+00:14:45,430 --> 00:14:51,430
+object is 100 meters and 1 cmمائة متر و واحد صنطي
+
+172
+00:14:51,430 --> 00:14:58,370
+مائة
+
+173
+00:14:58,370 --> 00:15:04,150
+متر و واحد صنطي و هذا ارتفاعه مائة متر و هذا
+
+174
+00:15:04,150 --> 00:15:09,310
+ارتفاعه مائة متر يا ترا يا ترا جديش ال object
+
+175
+00:15:09,310 --> 00:15:15,200
+الحقيقي بيعمل زاوية مع عينيone hundred meters by
+
+176
+00:15:15,200 --> 00:15:18,060
+one hundred meters and one of one hundred meters
+
+177
+00:15:18,060 --> 00:15:23,700
+that is to say, how much is the angle, we say two
+
+178
+00:15:23,700 --> 00:15:30,460
+minus one hundred divided
+
+179
+00:15:30,460 --> 00:15:39,360
+by one hundred point one of one hundred and it is
+
+180
+00:15:39,360 --> 00:15:44,340
+equal Forty-four and ninety-nine out of one
+
+181
+00:15:44,340 --> 00:15:49,960
+hundred degrees Which means that the image which
+
+182
+00:15:49,960 --> 00:15:52,980
+is one centimeter high has become larger Because
+
+183
+00:15:52,980 --> 00:15:58,040
+it makes a 45 degree angle with my eye 45 degrees
+
+184
+00:15:58,040 --> 00:16:01,480
+Again, we clarify the example in a larger and
+
+185
+00:16:01,480 --> 00:16:07,940
+larger way We return the lens to its place Now my
+
+186
+00:16:07,940 --> 00:16:08,780
+eye starts to move away
+
+187
+00:16:15,370 --> 00:16:23,150
+نص صنطي نص صنطي بدل صنطي بتصير على بعد نص صنطي من
+
+188
+00:16:23,150 --> 00:16:33,830
+الصورة طيب أصبح الصورة ارتفاعها صنطي البعد
+
+189
+00:16:33,830 --> 00:16:38,580
+بعد عيني عنها نص صنطيand this distance is logical,
+
+190
+00:16:38,780 --> 00:16:41,720
+when I put on my eye a telescope or telescope,
+
+191
+00:16:41,900 --> 00:16:44,840
+this distance is usually far, the eye piece is
+
+192
+00:16:44,840 --> 00:16:48,080
+about half a centimeter away, or almost, there is
+
+193
+00:16:48,080 --> 00:16:53,560
+almost a touch, okay, so the picture will work
+
+194
+00:16:53,560 --> 00:16:57,020
+with my eye angle how much, let's see, we say
+
+195
+00:16:57,020 --> 00:17:02,000
+shift 2, 1, division by half
+
+196
+00:17:08,720 --> 00:17:15,160
+و يساوي تلاتة و ستين degree تلاتة و ستين degree
+
+197
+00:17:15,160 --> 00:17:20,480
+طيب، نرجع، نقول كالقاتل لما عيني بتكون بعيدة عن
+
+198
+00:17:20,480 --> 00:17:24,060
+الصورة، هذه الصورة بتعمل تلاتة و ستين degree مع
+
+199
+00:17:24,060 --> 00:17:33,780
+عيني تلاتة و ستين degree مع عيني، طيب تلاتة
+
+200
+00:17:33,780 --> 00:17:40,050
+و ستين degree مع عيني، طيب، الآنبنشوف في حقيقة
+
+201
+00:17:40,050 --> 00:17:47,330
+الأمر شيلنا العدسة الصورة بتعمل مع عيني 63 degree
+
+202
+00:17:47,330 --> 00:17:52,470
+طيب ال object لو شيلنا العدسة جداش بيعمل مع عيني
+
+203
+00:17:52,470 --> 00:17:58,830
+حقيقة هو على بعد 100 متر و نص سانتي 100 متر و نص
+
+204
+00:17:58,830 --> 00:18:00,590
+سانتي يعني
+
+205
+00:18:05,630 --> 00:18:07,710
+and its height is one hundred meters we say the
+
+206
+00:18:07,710 --> 00:18:12,470
+equivalent to the adjacent shadow of the corner
+
+207
+00:18:12,470 --> 00:18:15,790
+one hundred meters and five thousand of the meter
+
+208
+00:18:15,790 --> 00:18:19,550
+one centimeter is one hundred meters half a
+
+209
+00:18:19,550 --> 00:18:21,910
+centimeter is five thousand of the meter we will
+
+210
+00:18:21,910 --> 00:18:26,510
+calculate it and say as follows shift ten we get
+
+211
+00:18:26,510 --> 00:18:32,150
+the corner one
+
+212
+00:18:32,150 --> 00:18:41,980
+or one hundred metersDivide by one hundred and
+
+213
+00:18:41,980 --> 00:18:46,860
+five thousand meters
+
+214
+00:18:46,860 --> 00:18:51,580
+which is equal to forty-four and ninety-nine
+
+215
+00:18:51,580 --> 00:18:54,060
+degrees which is equal to forty-five degrees So
+
+216
+00:18:54,060 --> 00:18:58,950
+the body works with my eyesالجسم نفسه بدون عدسة
+
+217
+00:18:58,950 --> 00:19:02,930
+اللي هو على بعد ميت متر و نص سانتي بعمل معيني
+
+218
+00:19:02,930 --> 00:19:07,870
+زاوية مقدارها خمسة و أربعين ديجري بينما صورته ..
+
+219
+00:19:07,870 --> 00:19:13,730
+صورتهShe works with my eye at an angle of 63
+
+220
+00:19:13,730 --> 00:19:17,130
+degrees Who will look bigger? The person who looks
+
+221
+00:19:17,130 --> 00:19:19,910
+bigger in the picture His picture will look bigger
+
+222
+00:19:19,910 --> 00:19:23,390
+even though it is actually small It is actually
+
+223
+00:19:23,390 --> 00:19:26,190
+small But why did the eye look bigger than the
+
+224
+00:19:26,190 --> 00:19:29,690
+real body? Because it is much closer to the eye
+
+225
+00:19:29,690 --> 00:19:33,310
+Much closer to the eye Now if we get a piece of
+
+226
+00:19:33,310 --> 00:19:44,530
+metal Go to googleWe say coin This
+
+227
+00:19:44,530 --> 00:19:50,490
+is a coin No matter how big the metal piece is,
+
+228
+00:19:51,410 --> 00:19:55,790
+let's say its diameter is two centimeters For
+
+229
+00:19:55,790 --> 00:19:59,670
+example, its diameter is two centimeters The
+
+230
+00:19:59,670 --> 00:20:02,510
+diameter of the sun, half of the diameter of the
+
+231
+00:20:02,510 --> 00:20:06,580
+sun is eight hundred thousand kilometershalf the
+
+232
+00:20:06,580 --> 00:20:08,200
+diameter, the diameter is one million and six
+
+233
+00:20:08,200 --> 00:20:11,980
+hundred thousand kilometers but with this small
+
+234
+00:20:11,980 --> 00:20:17,180
+piece of metal I can cover the whole sun how? I
+
+235
+00:20:17,180 --> 00:20:19,560
+try it with my eyes and I keep trying it with my
+
+236
+00:20:19,560 --> 00:20:23,120
+eyes and I look at the sun until it makes with my
+
+237
+00:20:23,120 --> 00:20:26,580
+eyes an angle bigger than the angle that the sun
+
+238
+00:20:26,580 --> 00:20:28,160
+makes sometimes this is called angular
+
+239
+00:20:28,160 --> 00:20:31,320
+magnification it has nothing to do with what does
+
+240
+00:20:31,320 --> 00:20:34,600
+it meanIn the transverse magnification, the image
+
+241
+00:20:34,600 --> 00:20:37,220
+is very small, correct? If this candle is 100
+
+242
+00:20:37,220 --> 00:20:41,160
+meters long, or a burning fire, or a narrow body,
+
+243
+00:20:41,300 --> 00:20:46,200
+100 meters long, and we shoot it on a screen, it
+
+244
+00:20:46,200 --> 00:20:48,940
+will be in the conditions we talked about, the
+
+245
+00:20:48,940 --> 00:20:53,150
+power of the lens and the ...It will be a real
+
+246
+00:20:53,150 --> 00:20:56,710
+picture, upside down, one centimeter high only But
+
+247
+00:20:56,710 --> 00:20:59,470
+for the eye of the observer, if the eye is very
+
+248
+00:20:59,470 --> 00:21:02,290
+close to it, it will appear larger than the body
+
+249
+00:21:02,290 --> 00:21:04,850
+itself which is one hundred meters high So this is
+
+250
+00:21:04,850 --> 00:21:14,480
+the difference. Why do I have here?x-1-1-1-1-1-1-1
+
+251
+00:21:14,480 --> 00:21:24,120
+-1-1-1-1
+
+252
+00:21:24,150 --> 00:21:26,350
+In the same way, because I'm looking at it from
+
+253
+00:21:26,350 --> 00:21:28,230
+close, it means it's obvious or it's giving me
+
+254
+00:21:28,230 --> 00:21:30,590
+angular magnification, which means angular
+
+255
+00:21:30,590 --> 00:21:32,790
+magnification, which means an angle with the eye,
+
+256
+00:21:33,070 --> 00:21:36,950
+which means big, bigger than the body itself, like
+
+257
+00:21:36,950 --> 00:21:41,150
+the calculator, according to me here, when we are
+
+258
+00:21:41,150 --> 00:21:44,490
+half a centimeter away from the image, it makes 63
+
+259
+00:21:44,490 --> 00:21:47,490
+degrees, while the object itself, which is 100
+
+260
+00:21:47,490 --> 00:21:51,330
+meters away, makes about 50 degrees, so what makes
+
+261
+00:21:51,330 --> 00:21:57,460
+the angle bigger,هدا لتوضيح الفرق بين ال angular
+
+262
+00:21:57,460 --> 00:22:01,200
+magnification و ليه transfers magnification و ليش
+
+263
+00:22:01,200 --> 00:22:05,460
+مش لازم احنا نربط العلاقة انها ضروري انها تكون
+
+264
+00:22:05,460 --> 00:22:09,950
+ترضية ان هذا كتر هذا كتر مالاش علاقةThis talks
+
+265
+00:22:09,950 --> 00:22:12,510
+about a picture that I take on screen and I get
+
+266
+00:22:12,510 --> 00:22:15,470
+its height in centimeters or in the scale, while
+
+267
+00:22:15,470 --> 00:22:19,290
+the angular magnification talks about how much
+
+268
+00:22:19,290 --> 00:22:22,190
+this picture makes an angle with my eye in another
+
+269
+00:22:22,190 --> 00:22:24,310
+sense, the more it makes a bigger angle, it will
+
+270
+00:22:24,310 --> 00:22:26,910
+appear bigger to me even though it is small Like
+
+271
+00:22:26,910 --> 00:22:30,650
+the piece of metal or the critical piece appeared
+
+272
+00:22:30,650 --> 00:22:36,910
+bigger than the sun's axis because it
+
+273
+00:22:36,910 --> 00:22:39,540
+is closer to my eyeAlso, my example can be much
+
+274
+00:22:39,540 --> 00:22:46,380
+more clear in this case If we say a human drawing
+
+275
+00:22:46,380 --> 00:22:56,300
+For
+
+276
+00:22:56,300 --> 00:23:00,220
+example, let's say as follows I have a person, for
+
+277
+00:23:00,220 --> 00:23:03,840
+example This
+
+278
+00:23:03,840 --> 00:23:05,980
+is a copy of the picture and we come here to a new
+
+279
+00:23:05,980 --> 00:23:06,260
+slide
+
+280
+00:23:13,550 --> 00:23:20,510
+ونقول هاي عملنا له لسق هذا الشخص طوله اتنين متر
+
+281
+00:23:20,510 --> 00:23:26,350
+طوله اتنين متر بدنا نفرض بدنا ننسخه و نتبر فيه شخص
+
+282
+00:23:26,350 --> 00:23:33,570
+اخر بس طوله متر
+
+283
+00:23:33,570 --> 00:23:40,550
+طوله متر الان بدنا نجيب العين هاي ننسخها
+
+284
+00:23:42,440 --> 00:23:57,420
+To make it clear, we say as follows Who
+
+285
+00:23:57,420 --> 00:23:59,420
+is taller? Actually, there is a fact of the
+
+286
+00:23:59,420 --> 00:24:01,540
+matter, this is two meters tall, and this is one
+
+287
+00:24:01,540 --> 00:24:03,160
+meter tall, but let's see how
+
+288
+00:24:08,330 --> 00:24:11,730
+التانى اللى موقفين على مستوى معين و العين على نفس
+
+289
+00:24:11,730 --> 00:24:20,350
+المستوى هذا بيعمل زاوية مع العين أكبر
+
+290
+00:24:20,350 --> 00:24:22,870
+بكثير من الزاوية اللى بيعملها اللى بعيد
+
+291
+00:24:27,140 --> 00:24:30,060
+means this can be for example 50 degrees and this
+
+292
+00:24:30,060 --> 00:24:33,340
+can be 30 degrees this will look bigger to our
+
+293
+00:24:33,340 --> 00:24:37,160
+eyes because it is closer to an angle greater than
+
+294
+00:24:37,160 --> 00:24:39,200
+an angle this is what is meant by angular
+
+295
+00:24:39,200 --> 00:24:42,660
+magnification play with transfer magnification how
+
+296
+00:24:42,660 --> 00:24:47,400
+much transfer ... this may be smaller in realityبس
+
+297
+00:24:47,400 --> 00:24:50,540
+بالنسبة لعيني طالما هو أقرب هيعمل زاوية أكبر
+
+298
+00:24:50,540 --> 00:24:55,460
+فبالتالي هيبين أكبر، هيبين هذا أطول بكتير من هذا،
+
+299
+00:24:55,460 --> 00:24:59,360
+عشان هيك همشوف الرجل اللي جانبنا كبير الحجم، بينما
+
+300
+00:24:59,360 --> 00:25:03,440
+الطائرة اللي أضعاف أضعاف أضعاف أضعاف حجمه، اللي
+
+301
+00:25:03,440 --> 00:25:06,660
+بتطير في السماء على بعد شاهق، بتبين كأنها مثل علبة
+
+302
+00:25:06,660 --> 00:25:11,440
+الكبريت أو ربما أسرر، أو ربما أسرر، و هيك بننهي
+
+303
+00:25:11,440 --> 00:25:14,460
+الموضوع، يعطيكم العافية والسلام عليكم ورحمة الله
+
+304
+00:25:14,460 --> 00:25:15,400
+وبركاته
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/i0HQ6x9w2CQ_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/i0HQ6x9w2CQ_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e9a24c645ea8e459f94b5c7acbffc25a010fc8a8
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/i0HQ6x9w2CQ_raw.srt
@@ -0,0 +1,1156 @@
+1
+00:00:01,130 --> 00:00:02,050
+Alhamdulillah, Alhamdulillah, Alhamdulillah,
+
+2
+00:00:02,050 --> 00:00:02,890
+Alhamdulillah.
+
+3
+00:00:27,990 --> 00:00:31,750
+The subject of engineering visions or geometric
+
+4
+00:00:31,750 --> 00:00:34,590
+optics and understanding the light journey that
+
+5
+00:00:34,590 --> 00:00:37,330
+emanates from the object to the optical system to
+
+6
+00:00:37,330 --> 00:00:39,350
+the image. Let's say that scientists, in order to
+
+7
+00:00:39,350 --> 00:00:42,990
+study all the attributes of the image, made it
+
+8
+00:00:42,990 --> 00:00:48,490
+simple. First of all, ignore image equality.
+
+9
+00:00:53,560 --> 00:00:57,840
+Second thing is to use Paraxial Approximation
+
+10
+00:00:57,840 --> 00:01:04,160
+Paraxial Approximation What is Paraxial
+
+11
+00:01:04,160 --> 00:01:06,480
+Approximation as we explained last time? We will
+
+12
+00:01:06,480 --> 00:01:10,820
+use Paraxial Ray And we will consider that the
+
+13
+00:01:10,820 --> 00:01:13,340
+surface of the spherical surface instead of curve
+
+14
+00:01:13,340 --> 00:01:15,640
+We will consider that the surface of the spherical
+
+15
+00:01:15,640 --> 00:01:19,980
+surface at the optical axis is almost closed Third
+
+16
+00:01:19,980 --> 00:01:25,160
+thing Use it to simplify small angle approximation
+
+17
+00:01:25,160 --> 00:01:29,980
+We talked about it in the introduction to this
+
+18
+00:01:29,980 --> 00:01:33,500
+lecture What is small angle approximation? It
+
+19
+00:01:33,500 --> 00:01:41,100
+means that instead of saying that sine theta is
+
+20
+00:01:41,100 --> 00:01:41,820
+equal to
+
+21
+00:01:50,410 --> 00:01:54,850
+factorial minus theta and so on 7 by 7 factorial
+
+22
+00:01:54,850 --> 00:01:57,410
+and so on till the end. No, I am saying that
+
+23
+00:01:57,410 --> 00:02:00,250
+approximately in the small angles, in the small
+
+24
+00:02:00,250 --> 00:02:05,090
+angle approximately sin theta approximately equals
+
+25
+00:02:05,090 --> 00:02:08,350
+theta. And also in the small angles from the angle
+
+26
+00:02:08,350 --> 00:02:12,590
+of approximation, tan theta approximately equals
+
+27
+00:02:12,590 --> 00:02:21,020
+theta.Sin θ يساوي تقريبا θ ويساوي tan θ وهدول
+
+28
+00:02:21,020 --> 00:02:27,040
+هستخدمهم بالتبادل مع بعض من البعض لما أنا قلت sin
+
+29
+00:02:27,040 --> 00:02:31,440
+θ يساوي θ يعني أنا أخدت ال order الأول من المعادل
+
+30
+00:02:32,190 --> 00:02:39,310
+The first order optics means that I will take the
+
+31
+00:02:39,310 --> 00:02:42,670
+first value for the angle J which is almost equal
+
+32
+00:02:42,670 --> 00:02:43,270
+to the angle
+
+33
+00:02:48,610 --> 00:02:51,370
+draw and see where the equation will go with us
+
+34
+00:02:51,370 --> 00:02:54,570
+and what will happen with us with these three
+
+35
+00:02:54,570 --> 00:02:57,370
+things. Ignore image quality, para-axial
+
+36
+00:02:57,370 --> 00:03:00,910
+approximation and small angle approximation. These
+
+37
+00:03:00,910 --> 00:03:03,770
+three together we will call them phase order
+
+38
+00:03:03,770 --> 00:03:09,770
+optics. We will draw a lens or spherical
+
+39
+00:03:09,770 --> 00:03:13,630
+refractive scale. We will draw its optical axis.
+
+40
+00:03:14,650 --> 00:03:22,560
+We will take the object It means that this beam
+
+41
+00:03:22,560 --> 00:03:28,380
+will hit the point C, for example, from the
+
+42
+00:03:28,380 --> 00:03:30,460
+surface of the spherical refracting surface And
+
+43
+00:03:30,460 --> 00:03:33,260
+since this is a sphere, then the column located on
+
+44
+00:03:33,260 --> 00:03:36,280
+the surface passes through the center, the center
+
+45
+00:03:36,280 --> 00:03:41,000
+This will become the normal surface for me So, the
+
+46
+00:03:41,000 --> 00:03:44,360
+angle between the beam and the normal surface
+
+47
+00:03:49,080 --> 00:03:54,060
+This is theta I, theta I. Okay, now the beam is
+
+48
+00:03:54,060 --> 00:03:57,440
+supposed to enter and break through the spherical
+
+49
+00:03:57,440 --> 00:04:00,140
+diffracting surface, and the second beam is
+
+50
+00:04:00,140 --> 00:04:03,220
+attached to the optical axis, the second beam is
+
+51
+00:04:03,220 --> 00:04:06,860
+attached to the optical axis, and therefore, both
+
+52
+00:04:06,860 --> 00:04:08,800
+of them are broken, and this will fall vertically,
+
+53
+00:04:09,140 --> 00:04:11,620
+because the center of gravity will not change its
+
+54
+00:04:11,620 --> 00:04:15,460
+path. I have here, the second beam is broken,
+
+55
+00:04:23,930 --> 00:04:28,410
+Now we need to start applying the things that we
+
+56
+00:04:28,410 --> 00:04:33,110
+are used to. We will take this piece. We will take
+
+57
+00:04:33,110 --> 00:04:36,850
+this piece and enlarge it with a large and clear
+
+58
+00:04:36,850 --> 00:04:40,950
+drawing. In order to have things clear. I will say
+
+59
+00:04:40,950 --> 00:04:44,790
+this piece is from the spherical surface.
+
+60
+00:04:45,530 --> 00:04:49,130
+Paraxial. This is the optical axis. This is the
+
+61
+00:04:49,130 --> 00:04:51,910
+optical axis. And here I have this part.
+
+62
+00:04:56,910 --> 00:05:01,970
+It started from this point This is paraxial but we
+
+63
+00:05:01,970 --> 00:05:06,730
+are folding the picture vertically This is the
+
+64
+00:05:06,730 --> 00:05:10,710
+center of the ball We considered the surface of
+
+65
+00:05:10,710 --> 00:05:13,670
+the ball as flat in this area and we folded the
+
+66
+00:05:13,670 --> 00:05:18,330
+picture So this is my equation for this center We
+
+67
+00:05:18,330 --> 00:05:20,350
+said that from the center of the ball to any point
+
+68
+00:05:20,350 --> 00:05:23,190
+on the surface We can reach a vertical value
+
+69
+00:05:27,090 --> 00:05:30,150
+So this is the service normal drawn in the dotted
+
+70
+00:05:30,150 --> 00:05:34,810
+line. So this is theta I.
+
+71
+00:05:36,110 --> 00:05:43,010
+Okay, now this was broken and formed a picture in
+
+72
+00:05:43,010 --> 00:05:48,950
+the glass as a result of intersectionTwo rays, the
+
+73
+00:05:48,950 --> 00:05:52,110
+first ray is drawn in red, and the second ray is
+
+74
+00:05:52,110 --> 00:05:55,410
+aligned to the optical axis and drawn in blue,
+
+75
+00:05:55,790 --> 00:05:58,890
+intersecting at the point I, so this is I. Okay,
+
+76
+00:06:00,190 --> 00:06:04,590
+why is the ray aligned to the optical axis does
+
+77
+00:06:04,590 --> 00:06:06,690
+not change its path because it is vertical on the
+
+78
+00:06:06,690 --> 00:06:10,290
+surface? It means that it fell vertically How did
+
+79
+00:06:10,290 --> 00:06:12,110
+he know that it fell vertically? Because it passes
+
+80
+00:06:12,110 --> 00:06:14,030
+through the center of the sphere Because it passes
+
+81
+00:06:14,030 --> 00:06:16,050
+through the center of the spherical refracting
+
+82
+00:06:16,050 --> 00:06:19,290
+surface The image was formed here From this
+
+83
+00:06:19,290 --> 00:06:23,410
+distance To this distance This is called image
+
+84
+00:06:23,410 --> 00:06:29,770
+distance Image distance And
+
+85
+00:06:29,770 --> 00:06:32,610
+from the surface of the spherical refracting
+
+86
+00:06:32,610 --> 00:06:35,730
+surface To the object, which is called object
+
+87
+00:06:38,400 --> 00:06:42,100
+This is the angle of descent and this is the angle
+
+88
+00:06:42,100 --> 00:06:46,480
+of descent, theta T Of course, these are all small
+
+89
+00:06:46,480 --> 00:06:48,980
+angles, this is theta I and this is theta T And
+
+90
+00:06:48,980 --> 00:06:51,560
+these small angles, we will call them by their
+
+91
+00:06:51,560 --> 00:06:56,000
+names in months These are very small angles This
+
+92
+00:06:56,000 --> 00:07:00,960
+angle I will call it alpha And this angle I will
+
+93
+00:07:00,960 --> 00:07:05,220
+call it gamma And this angle I will call it beta
+
+94
+00:07:11,980 --> 00:07:16,240
+and Gamma and Alpha are all small angles. Of
+
+95
+00:07:16,240 --> 00:07:18,420
+course, when we consider the surface of the earth,
+
+96
+00:07:18,620 --> 00:07:22,780
+we say that the rays, which are red, hit away from
+
+97
+00:07:22,780 --> 00:07:27,940
+the optical axis an inch away. An inch away. So
+
+98
+00:07:27,940 --> 00:07:32,040
+now we have completed the picture. Where did we
+
+99
+00:07:32,040 --> 00:07:35,460
+start? We want to work and see. And see what will
+
+100
+00:07:35,460 --> 00:07:39,040
+come out with us. Or where will this case take us.
+
+101
+00:07:39,160 --> 00:07:41,060
+This is the case. This is the object distance.
+
+102
+00:07:43,610 --> 00:07:46,650
+To keep the meaning broad in the structure And
+
+103
+00:07:46,650 --> 00:07:50,850
+this is from here Here the image is formed From
+
+104
+00:07:50,850 --> 00:07:54,250
+here to here This is called image distance And
+
+105
+00:07:54,250 --> 00:07:58,290
+from C to the top is half of the step, R This is
+
+106
+00:07:58,290 --> 00:08:01,070
+half of the step, R We say that the light is here
+
+107
+00:08:01,070 --> 00:08:05,070
+in the air We say that the air is a reflective
+
+108
+00:08:05,070 --> 00:08:08,290
+index with the symbol N And the light forms a
+
+109
+00:08:08,290 --> 00:08:13,370
+picture inside the glass, N sharpSo as follows, in
+
+110
+00:08:13,370 --> 00:08:16,930
+order to know where the wave can go, we need to
+
+111
+00:08:16,930 --> 00:08:24,110
+apply Snell's law, which is Ni Sin Theta I equals
+
+112
+00:08:24,110 --> 00:08:32,870
+Nt Sin Theta T Okay, now Ni, which we used to call
+
+113
+00:08:32,870 --> 00:08:36,610
+N because the light fell from the sky, is N Sin
+
+114
+00:08:36,610 --> 00:08:41,670
+Theta I It's equal to ND and we said that it's the
+
+115
+00:08:41,670 --> 00:08:43,870
+unshorted of these guys, instead of saying N
+
+116
+00:08:43,870 --> 00:08:47,550
+class, we say unshorted, that's it, unshorted sine
+
+117
+00:08:47,550 --> 00:08:53,910
+theta T Okay, we were in the small angle, J in the
+
+118
+00:08:53,910 --> 00:08:55,890
+angle and the angle is the same thing, that is, I
+
+119
+00:08:55,890 --> 00:08:59,310
+want to find J in the angle theta I in the same
+
+120
+00:08:59,310 --> 00:09:03,180
+angle, that is, I say N theta I It is equal to N
+
+121
+00:09:03,180 --> 00:09:06,360
+sharp I times theta T, which is a small angle. Of
+
+122
+00:09:06,360 --> 00:09:08,200
+course, here it looks big because we are
+
+123
+00:09:08,200 --> 00:09:10,520
+multiplying the vertical part. All these angles
+
+124
+00:09:10,520 --> 00:09:14,140
+are small. So, N sharp I times theta T is equal to
+
+125
+00:09:14,140 --> 00:09:19,140
+N sharp I theta T. By approximations, this means
+
+126
+00:09:19,140 --> 00:09:24,520
+that it is 100% correct. Now, theta I is replaced
+
+127
+00:09:24,520 --> 00:09:31,330
+by two angles. This is theta I.وهذا المثلث اللي
+
+128
+00:09:31,330 --> 00:09:39,250
+أنا قاعد بضلل فيه هو مثلث منفرج الزاوية،
+
+129
+00:09:39,250 --> 00:09:43,430
+هاي الزاوية المنفرجة اللي فيهThis is the empty
+
+130
+00:09:43,430 --> 00:09:47,070
+corner. θI completes it. This is a straight line,
+
+131
+00:09:47,430 --> 00:09:49,530
+which is the normal surface. This is the triangle
+
+132
+00:09:49,530 --> 00:09:52,230
+that I drew and emptied the corner. This is the
+
+133
+00:09:52,230 --> 00:09:56,870
+empty corner. θI completes it. So, since θI
+
+134
+00:09:56,870 --> 00:10:01,410
+completes the empty corner, it equals the sum of
+
+135
+00:10:01,410 --> 00:10:05,450
+the other two corners, which are γ and α. So, M
+
+136
+00:10:05,450 --> 00:10:10,050
+θI, I have to subtract it and put it in α plus γ.
+
+137
+00:10:10,690 --> 00:10:14,590
+You see I've unsharpened it. Now I have another
+
+138
+00:10:14,590 --> 00:10:18,550
+triangle that I'm going to mark with the red
+
+139
+00:10:18,550 --> 00:10:19,650
+color.
+
+140
+00:10:30,030 --> 00:10:34,680
+This is also a triangle with an angle.مين الزاوية
+
+141
+00:10:34,680 --> 00:10:39,660
+اللي بتكمل الزاوية المنفرجة؟ Gamma Gamma تكمل
+
+142
+00:10:39,660 --> 00:10:44,620
+الزاوية المنفرجة إذا تساوي مجموع الزاويتين الأخرين
+
+143
+00:10:44,620 --> 00:10:51,300
+في المثلثة إذا Gamma تساوي بمعنها تكمل المنفرجة
+
+144
+00:10:51,300 --> 00:10:58,360
+تساوي θT زائد Beta بس أنا بدي θT لحالها عشان أقدر
+
+145
+00:10:58,360 --> 00:11:02,950
+أعوض عنها بنقول θTIf I add beta here it becomes
+
+146
+00:11:02,950 --> 00:11:08,170
+minus So gamma minus beta theta T theta T equals
+
+147
+00:11:08,170 --> 00:11:13,270
+gamma minus beta So I want theta T here I want to
+
+148
+00:11:13,270 --> 00:11:19,730
+get used to it with gamma minus beta Now I want to
+
+149
+00:11:19,730 --> 00:11:25,110
+solve the equations directly N in alpha plus N in
+
+150
+00:11:25,110 --> 00:11:28,730
+gamma equals N square in gamma
+
+151
+00:11:32,990 --> 00:11:35,970
+الان انا في عندى Gamma وفي Beta وفي Alpha، ال
+
+152
+00:11:35,970 --> 00:11:38,930
+Gamma بتأجلها علاتها، و ال Alpha و ال Beta بتبقى
+
+153
+00:11:38,930 --> 00:11:45,650
+فاليها علاتها لها، ان في Alpha زائد ان شرطه في
+
+154
+00:11:45,650 --> 00:11:55,290
+Beta يساوى ان شرطه في Gamma ناقص ان في Gamma، طيب،
+
+155
+00:11:55,290 --> 00:11:59,180
+نكملHere there is not a common factor, there is a
+
+156
+00:11:59,180 --> 00:12:02,720
+common factor which is Gamma So I take the left
+
+157
+00:12:02,720 --> 00:12:09,620
+part of the equation as it is, n in alpha plus n
+
+158
+00:12:09,620 --> 00:12:14,560
+minus one in beta equals
+
+159
+00:12:14,560 --> 00:12:21,260
+gamma in n minus one in beta We took the common
+
+160
+00:12:21,260 --> 00:12:23,260
+factor Gamma in n minus one in beta
+
+161
+00:12:26,960 --> 00:12:30,640
+Alpha and Beta and Gamma are small angles Alpha
+
+162
+00:12:30,640 --> 00:12:33,920
+and Beta and Gamma are small angles and here the
+
+163
+00:12:33,920 --> 00:12:35,780
+drawing is drawn as we explained before This is
+
+164
+00:12:35,780 --> 00:12:38,540
+the truth and maybe it is smaller than that This
+
+165
+00:12:38,540 --> 00:12:43,620
+is Alpha and this is Gamma and this is Beta As
+
+166
+00:12:43,620 --> 00:12:48,000
+long as it is a small angle, I can approximate it
+
+167
+00:12:48,000 --> 00:12:51,260
+by its shadow So I say M times Alpha
+
+168
+00:12:54,440 --> 00:12:59,860
+It is equal to n in alpha plus n east in tan beta
+
+169
+00:12:59,860 --> 00:13:10,400
+which is equal to tan gamma in n east minus n. Ok.
+
+170
+00:13:11,220 --> 00:13:16,500
+What is tan alpha? Which alpha? We said that any
+
+171
+00:13:16,500 --> 00:13:21,520
+angle tan alpha is equal to the reciprocal over
+
+172
+00:13:21,520 --> 00:13:26,030
+the reciprocal.this is alpha, this is the
+
+173
+00:13:26,030 --> 00:13:30,430
+triangle, this is the angle, the opposite is H so
+
+174
+00:13:30,430 --> 00:13:35,470
+N in H over .. the adjacent is what? this distance
+
+175
+00:13:35,470 --> 00:13:38,210
+which is the object distance O, it is assumed that
+
+176
+00:13:38,210 --> 00:13:43,910
+this is the symbol O, N in H over O plus N, what
+
+177
+00:13:43,910 --> 00:13:47,450
+is tan beta? this is beta, this is the angle beta,
+
+178
+00:13:47,930 --> 00:13:50,770
+this whole triangle is the angle
+
+179
+00:13:53,810 --> 00:14:04,870
+Tan Beta Dhul Beta H upon I H upon I Equal Tan
+
+180
+00:14:04,870 --> 00:14:10,390
+Gamma Dhul Beta Gamma Angle This small triangle is
+
+181
+00:14:10,390 --> 00:14:20,470
+the angle H upon R So H upon R Angle minus N So
+
+182
+00:14:20,470 --> 00:14:21,930
+Tan Alpha
+
+183
+00:14:25,100 --> 00:14:31,400
+tan beta H over I which is the square So tan gamma
+
+184
+00:14:31,400 --> 00:14:35,340
+H over I which is half of O If you notice, there
+
+185
+00:14:35,340 --> 00:14:38,000
+is an ending in the sentence H and H and H If we
+
+186
+00:14:38,000 --> 00:14:42,480
+multiply all the values by H, I will have N over O
+
+187
+00:14:42,480 --> 00:14:50,780
+plus N plus I equals N minus I over I
+
+188
+00:14:59,060 --> 00:15:03,700
+The point is that I want to bring this value to
+
+189
+00:15:03,700 --> 00:15:07,440
+the other side I want to say and we will say why
+
+190
+00:15:07,440 --> 00:15:11,840
+we want to bring it to the other side We can say n
+
+191
+00:15:11,840 --> 00:15:20,400
+sharp over i is equal to minus n over o plus n
+
+192
+00:15:20,400 --> 00:15:22,540
+sharp minus n over i
+
+193
+00:15:25,920 --> 00:15:29,360
+The same equation, but all the left and right are
+
+194
+00:15:29,360 --> 00:15:34,280
+the same. Instead of saying Sin equals Sat, I want
+
+195
+00:15:34,280 --> 00:15:37,500
+to say Sat equals Sin only. Okay? And then we will
+
+196
+00:15:37,500 --> 00:15:42,460
+say why we did that. We will say negative n over O
+
+197
+00:15:42,460 --> 00:15:48,700
+plus the condition negative n over A equals
+
+198
+00:15:48,700 --> 00:15:51,840
+negative n over A. The first thing we need to
+
+199
+00:15:51,840 --> 00:15:58,250
+explain is why we brought O here with A. A and O
+
+200
+00:15:58,250 --> 00:16:01,090
+were placed on one side of the equation and I was
+
+201
+00:16:01,090 --> 00:16:03,250
+placed on the other side of the equation First of
+
+202
+00:16:03,250 --> 00:16:06,750
+all, O is the object object distance distance of
+
+203
+00:16:06,750 --> 00:16:10,110
+the object and A is half a meter of the spherical
+
+204
+00:16:10,110 --> 00:16:13,470
+refracting surface The A just started from the
+
+205
+00:16:13,470 --> 00:16:17,420
+object and passed throughThe Spherical Refracting
+
+206
+00:16:17,420 --> 00:16:19,540
+Surface, which is half of its diameter, which we
+
+207
+00:16:19,540 --> 00:16:23,080
+mark with the letter R And these two together, the
+
+208
+00:16:23,080 --> 00:16:25,820
+object and the spherical refracting surface worked
+
+209
+00:16:25,820 --> 00:16:29,560
+together to form the image The word I means image
+
+210
+00:16:29,560 --> 00:16:31,880
+distance What does image distance mean? It means
+
+211
+00:16:31,880 --> 00:16:34,800
+that if there is no image next to me, I can't talk
+
+212
+00:16:34,800 --> 00:16:36,520
+about image distance It means that as long as I
+
+213
+00:16:36,520 --> 00:16:38,920
+say image distance, it means that I have a picture
+
+214
+00:16:38,920 --> 00:16:42,120
+Who made it for me? Both of them The object
+
+215
+00:16:42,120 --> 00:16:44,580
+itself, as long as I say object distance, it means
+
+216
+00:16:44,580 --> 00:16:47,250
+that there is an objectThere is no distance from
+
+217
+00:16:47,250 --> 00:16:52,510
+the road to city C except that city C exists. As
+
+218
+00:16:52,510 --> 00:16:55,550
+long as there is an object distance O, it means
+
+219
+00:16:55,550 --> 00:16:57,750
+that there is an object. And as long as there is R
+
+220
+00:16:57,750 --> 00:16:59,730
+half a foot, half a foot to 100, it means that
+
+221
+00:16:59,730 --> 00:17:01,890
+half a foot to the spherical refracting surface.
+
+222
+00:17:02,190 --> 00:17:05,050
+These two worked together to make the image.
+
+223
+00:17:05,350 --> 00:17:08,970
+Because it is an object by itself and there is no
+
+224
+00:17:08,970 --> 00:17:09,910
+optical system.
+
+225
+00:17:13,680 --> 00:17:16,700
+Okay, a spherical refracting surface without an
+
+226
+00:17:16,700 --> 00:17:18,940
+object also does not have a picture The two
+
+227
+00:17:18,940 --> 00:17:21,920
+together need to interact with each other, they
+
+228
+00:17:21,920 --> 00:17:25,120
+need to emit light from the object The optical
+
+229
+00:17:25,120 --> 00:17:30,580
+system will collect these things or create the
+
+230
+00:17:30,580 --> 00:17:35,960
+image for us So that we can be calm and relaxed
+
+231
+00:17:46,040 --> 00:17:48,940
+Refracting surface and the image distance is on
+
+232
+00:17:48,940 --> 00:17:56,640
+the other side Of course, we moved the object from
+
+233
+00:17:56,640 --> 00:18:00,460
+one side to the other Because the object is always
+
+234
+00:18:00,460 --> 00:18:02,880
+on the left And we said that the distances on the
+
+235
+00:18:02,880 --> 00:18:06,120
+left of the optical system are considered minus
+
+236
+00:18:06,120 --> 00:18:12,380
+This last equation is called lens makers equation
+
+237
+00:18:16,090 --> 00:18:19,010
+Manufacturer's equation of lenses, one of the most
+
+238
+00:18:19,010 --> 00:18:22,490
+important equations that will be used a lot, and
+
+239
+00:18:22,490 --> 00:18:24,490
+unfortunately one of the most important equations
+
+240
+00:18:24,490 --> 00:18:27,830
+that does
+
+241
+00:18:27,830 --> 00:18:30,970
+not benefit from it in the desired form, that is,
+
+242
+00:18:30,990 --> 00:18:33,630
+it benefits from it, but not in the desired form
+
+243
+00:18:33,630 --> 00:18:38,610
+So this equation, which is negative n over O plus
+
+244
+00:18:38,610 --> 00:18:45,070
+negative n over A equals negative n over A If I
+
+245
+00:18:45,070 --> 00:18:48,010
+know half of the refractive index of the object
+
+246
+00:18:48,010 --> 00:18:50,610
+and the area of the object and I know each
+
+247
+00:18:50,610 --> 00:18:53,550
+refractive index of the object that fell from it
+
+248
+00:18:53,550 --> 00:18:55,810
+and each refractive index of the object that fell
+
+249
+00:18:55,810 --> 00:18:58,050
+from it, I will have one unknown which is the
+
+250
+00:18:58,050 --> 00:19:00,870
+image distance and if I bring this one unknown
+
+251
+00:19:00,870 --> 00:19:02,030
+which is the image distance and if I bring this
+
+252
+00:19:02,030 --> 00:19:02,030
+one unknown which is the image distance and if I
+
+253
+00:19:02,030 --> 00:19:02,030
+bring this one unknown which is the image distance
+
+254
+00:19:02,030 --> 00:19:02,130
+and if I bring this one unknown which is the image
+
+255
+00:19:02,130 --> 00:19:02,150
+distance and if I bring this one unknown which is
+
+256
+00:19:02,150 --> 00:19:02,210
+the image distance and if I bring this one unknown
+
+257
+00:19:02,210 --> 00:19:02,690
+which is the image distance and if I bring this
+
+258
+00:19:02,690 --> 00:19:03,890
+one unknown which is the image distance and if I
+
+259
+00:19:03,890 --> 00:19:03,890
+bring this one unknown which is the image distance
+
+260
+00:19:03,890 --> 00:19:03,910
+and if I bring this one unknown which is the image
+
+261
+00:19:03,910 --> 00:19:04,030
+distance and if I bring this one unknown which is
+
+262
+00:19:04,030 --> 00:19:04,090
+the image distance and if I bring this one unknown
+
+263
+00:19:04,090 --> 00:19:04,530
+which is the image distance and if I bring this
+
+264
+00:19:04,530 --> 00:19:06,770
+one unknown which is the image distance and if I
+
+265
+00:19:06,770 --> 00:19:07,730
+bring this one unknown which is the image distance
+
+266
+00:19:07,730 --> 00:19:08,870
+and if I bring this one unknown which is the image
+
+267
+00:19:08,870 --> 00:19:12,720
+distance and This is the first attribute of the
+
+268
+00:19:12,720 --> 00:19:15,960
+object. If I have the image distance, I can use
+
+269
+00:19:15,960 --> 00:19:19,200
+the magnification to divide the image distance by
+
+270
+00:19:19,200 --> 00:19:21,060
+the object distance, and the attributes of the
+
+271
+00:19:21,060 --> 00:19:24,260
+image will be what? This. So I can get the
+
+272
+00:19:24,260 --> 00:19:26,780
+attributes of the image with equal quality by
+
+273
+00:19:26,780 --> 00:19:30,080
+using the lens maker's equation. By using the lens
+
+274
+00:19:30,080 --> 00:19:32,980
+maker's equation. Let's check one thing.
+
+275
+00:19:35,360 --> 00:19:37,940
+Scientists know the power of the refracting
+
+276
+00:19:37,940 --> 00:19:42,280
+service. Its ability to break rays. is that the
+
+277
+00:19:42,280 --> 00:19:46,140
+difference between the refractive index of the two
+
+278
+00:19:46,140 --> 00:19:49,160
+materials, which is going straight, minus the one
+
+279
+00:19:49,160 --> 00:19:51,640
+that is going straight, is equal to half of the
+
+280
+00:19:51,640 --> 00:19:53,080
+refractive index of the refracting service. This
+
+281
+00:19:53,080 --> 00:19:55,560
+is called the power of the refractive index of the
+
+282
+00:19:55,560 --> 00:19:57,380
+refracting service. So here I can compensate for
+
+283
+00:19:57,380 --> 00:19:59,760
+this loss in the power of the refractive index of
+
+284
+00:19:59,760 --> 00:20:02,800
+the refracting service. We say that the power
+
+285
+00:20:06,730 --> 00:20:09,950
+Okay, so here I can write the lens maker equation
+
+286
+00:20:09,950 --> 00:20:15,210
+as minus N over O plus P equals to N plus I equals
+
+287
+00:20:15,210 --> 00:20:18,930
+to N plus I This is how we have reached the
+
+288
+00:20:18,930 --> 00:20:22,510
+conclusion of the lens maker equation God bless
+
+289
+00:20:22,510 --> 00:20:25,110
+you and peace be upon you
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/jLvtzY4UmaQ.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/jLvtzY4UmaQ.srt
new file mode 100644
index 0000000000000000000000000000000000000000..23f405c28023b87ec2a3d2504858e5e61572de2e
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/jLvtzY4UmaQ.srt
@@ -0,0 +1,687 @@
+1
+00:00:01,770 --> 00:00:08,290
+بسم الله الرحمن الرحيم، اليوم هنحكي عن نقطة يعني
+
+2
+00:00:08,290 --> 00:00:12,090
+قد يستغرب الإنسان منها، تابعة في ال geometric
+
+3
+00:00:12,090 --> 00:00:16,670
+optics طبعا، طبعا إذا كان ال object موجود داخل ال
+
+4
+00:00:16,670 --> 00:00:21,130
+FA، داخل ال FA، الصورة بتكون virtual و erect و
+
+5
+00:00:21,130 --> 00:00:27,270
+magnified، يعني مكبرة و virtual و مش مجلوبة because
+
+6
+00:00:27,270 --> 00:00:30,310
+the biggest pride .. the biggest pride we get when
+
+7
+00:00:30,310 --> 00:00:34,390
+we have the exact FA let's see this in simulation
+
+8
+00:00:34,390 --> 00:00:36,750
+how .. how it happens with it we say as follows
+
+9
+00:00:36,750 --> 00:00:42,610
+here we have the eye of the lens plus lens and
+
+10
+00:00:42,610 --> 00:00:48,990
+let's assume that this plus lens its reading
+
+11
+00:00:48,990 --> 00:00:51,580
+distancetwo hundred millimeters means twenty
+
+12
+00:00:51,580 --> 00:00:54,740
+centimeters plus five diopters will be plus five
+
+13
+00:00:54,740 --> 00:00:58,980
+diopters will be we will put the ruler to help us
+
+14
+00:00:58,980 --> 00:01:04,600
+we will put the object inside the FA and after
+
+15
+00:01:04,600 --> 00:01:08,500
+that we leave it exactly on the FA and see how
+
+16
+00:01:08,500 --> 00:01:12,240
+things happen with us and that every time we move
+
+17
+00:01:12,240 --> 00:01:15,560
+away from the FA of course the FA becomes twenty
+
+18
+00:01:15,560 --> 00:01:22,530
+centimetersmeans if the lens is at number 500 if
+
+19
+00:01:22,530 --> 00:01:26,090
+the lens is at number 500 means that the f-a will
+
+20
+00:01:26,090 --> 00:01:32,930
+be 20 cm away from 300 from 300 let's see now I
+
+21
+00:01:32,930 --> 00:01:36,570
+want to choose point source of light and put it
+
+22
+00:01:36,570 --> 00:01:39,330
+inside the f-a which is closer than 300 I want to
+
+23
+00:01:39,330 --> 00:01:44,310
+put it at a distance of about 5 cm from the lens
+
+24
+00:01:45,770 --> 00:01:48,830
+The rays are divergent, the rays are divergent, I
+
+25
+00:01:48,830 --> 00:01:51,310
+want to do blocking to the rays, the rays are
+
+26
+00:01:51,310 --> 00:01:54,510
+divergent to what enters in the lens, what enters
+
+27
+00:01:54,510 --> 00:01:57,530
+in the lens, what does not enter in the lens, we
+
+28
+00:01:57,530 --> 00:02:04,790
+want to try to block it to reduce from, let's do
+
+29
+00:02:04,790 --> 00:02:08,430
+duplication to the blocker and move it down to the
+
+30
+00:02:08,430 --> 00:02:13,610
+bottomto hide things that I don't need to hide
+
+31
+00:02:13,610 --> 00:02:15,970
+things that I don't need to hide also the density
+
+32
+00:02:15,970 --> 00:02:22,470
+of things that we want to hide these objects which
+
+33
+00:02:22,470 --> 00:02:25,010
+is the green dot that came out of his nose his
+
+34
+00:02:25,010 --> 00:02:30,870
+height for example let's say 3 squares let's get
+
+35
+00:02:30,870 --> 00:02:33,990
+it with the square here with the grid let's see
+
+36
+00:02:33,990 --> 00:02:35,950
+the picture where it will be formed let's do
+
+37
+00:02:35,950 --> 00:02:38,190
+extension the picture
+
+38
+00:02:43,140 --> 00:02:47,640
+Divergent rays can not in some cases form a real
+
+39
+00:02:47,640 --> 00:02:50,720
+image, so it forms a virtual image The virtual
+
+40
+00:02:50,720 --> 00:02:53,980
+image is higher than the height of the object, so
+
+41
+00:02:53,980 --> 00:03:00,160
+I have a magnified image Now I want to remove the
+
+42
+00:03:00,160 --> 00:03:04,120
+object and put it here and the blocker here of
+
+43
+00:03:04,120 --> 00:03:04,240
+course
+
+44
+00:03:07,460 --> 00:03:12,260
+and the second blocker here I moved away a little
+
+45
+00:03:12,260 --> 00:03:15,020
+bit, but I'm still inside the FA The picture is
+
+46
+00:03:15,020 --> 00:03:25,520
+bigger Okay, I'll move this away a little bit more
+
+47
+00:03:25,520 --> 00:03:33,820
+When I moved away a little bit The picture is
+
+48
+00:03:33,820 --> 00:03:36,320
+bigger and bigger The picture is bigger and bigger
+
+49
+00:03:39,900 --> 00:03:44,600
+The height of the image because the rays that come
+
+50
+00:03:44,600 --> 00:03:49,440
+out are less divergent Here the rays are more
+
+51
+00:03:49,440 --> 00:03:53,200
+divergent away from each other Here it starts to
+
+52
+00:03:53,200 --> 00:03:55,200
+become less divergent and the image gets bigger
+
+53
+00:03:55,200 --> 00:03:58,780
+and bigger What gets bigger? Okay, when I get to a
+
+54
+00:03:58,780 --> 00:04:03,760
+point that I'm coming to the FA I will have the
+
+55
+00:04:03,760 --> 00:04:05,940
+largest magnification of the rays because the rays
+
+56
+00:04:05,940 --> 00:04:08,880
+will come out parallel so their extensions to the
+
+57
+00:04:08,880 --> 00:04:13,460
+backWe will see it on a very large distance, so it
+
+58
+00:04:13,460 --> 00:04:16,020
+will have a chance to grow a lot. That's why on
+
+59
+00:04:16,020 --> 00:04:18,660
+the FA, the larger the magnification. Inside the
+
+60
+00:04:18,660 --> 00:04:22,180
+FA, the rays start to meet, and the image is
+
+61
+00:04:22,180 --> 00:04:24,920
+enlarged, true, but smaller than when it was on
+
+62
+00:04:24,920 --> 00:04:30,420
+the FA. Smaller than when it was on the FA. Now I
+
+63
+00:04:30,420 --> 00:04:35,440
+tried more, the image started to shrink more. I
+
+64
+00:04:35,440 --> 00:04:42,070
+try more, it shrinks more.and it is still bigger
+
+65
+00:04:42,070 --> 00:04:44,290
+than the object it is always enlarged inside the
+
+66
+00:04:44,290 --> 00:04:47,550
+mouth enlarged and bigger enlargement when I'm on
+
+67
+00:04:47,550 --> 00:04:52,250
+the mouth if you notice here if I tried a lot the
+
+68
+00:04:52,250 --> 00:04:55,390
+picture is still bigger it is the point of contact
+
+69
+00:04:55,390 --> 00:04:58,090
+of the radiation extensions the point of contact
+
+70
+00:04:58,090 --> 00:05:02,290
+of the radiation extensions and therefore this is
+
+71
+00:05:02,290 --> 00:05:05,710
+what we mean by enlargement ok can this be proven
+
+72
+00:05:05,710 --> 00:05:07,590
+mathematically? we say yes it can be proven
+
+73
+00:05:07,590 --> 00:05:22,020
+mathematicallywe say when I have a lens when
+
+74
+00:05:22,020 --> 00:05:26,740
+I have a lens for example plus five this is a
+
+75
+00:05:26,740 --> 00:05:30,480
+vector and
+
+76
+00:05:30,480 --> 00:05:32,040
+this is my optical axis
+
+77
+00:05:39,290 --> 00:05:44,250
+and here I have an object with a length of 20cm
+
+78
+00:05:44,250 --> 00:05:47,310
+20cm
+
+79
+00:05:47,310 --> 00:05:57,090
+make it thick of course here plus 5 is negative
+
+80
+00:06:12,040 --> 00:06:18,300
+وهنا المسافة عشرين سانتي مسافة
+
+81
+00:06:18,300 --> 00:06:24,090
+عشرين سانتيbetween the object and the lens. So the
+
+82
+00:06:24,090 --> 00:06:27,350
+object is coming to the face exactly. You see, how
+
+83
+00:06:27,350 --> 00:06:29,810
+much is the magnification? Of course, the picture
+
+84
+00:06:29,810 --> 00:06:32,910
+is virtual. The picture is virtual. One can say,
+
+85
+00:06:33,010 --> 00:06:35,650
+well, the rays are parallel, they will not meet at
+
+86
+00:06:35,650 --> 00:06:37,870
+once. We say, no, also parallel and the rays are
+
+87
+00:06:37,870 --> 00:06:40,250
+divergent, they will not meet at once. Its
+
+88
+00:06:40,250 --> 00:06:42,130
+extension does not mean that the light returns to
+
+89
+00:06:42,130 --> 00:06:44,730
+the back. No. We extended it and said that the
+
+90
+00:06:44,730 --> 00:06:49,180
+virtual image is a trick.Or a tool that makes it
+
+91
+00:06:49,180 --> 00:06:52,080
+easier for us to understand or simplify the
+
+92
+00:06:52,080 --> 00:06:54,540
+science of geometrical optics When we say u is
+
+93
+00:06:54,540 --> 00:06:57,900
+equal to negative n over o Because the light is
+
+94
+00:06:57,900 --> 00:07:00,680
+divergent from the object It is equal to negative
+
+95
+00:07:00,680 --> 00:07:07,140
+one over two out of ten meters And it is equal to
+
+96
+00:07:07,140 --> 00:07:14,020
+negative five diopters So I go and put five
+
+97
+00:07:14,020 --> 00:07:19,610
+diopters at the front of the lens minus 5 diopters
+
+98
+00:07:19,610 --> 00:07:23,110
+we
+
+99
+00:07:23,110 --> 00:07:26,130
+say that the light will reach a frequency of minus
+
+100
+00:07:26,130 --> 00:07:30,310
+5 diopters how much frequency will it reach? let's
+
+101
+00:07:30,310 --> 00:07:34,630
+calculate V U
+
+102
+00:07:34,630 --> 00:07:42,270
+plus P to the power equals V U minus 5 diopters
+
+103
+00:07:42,270 --> 00:07:48,440
+and the power plus 5 diopters is equal to v then v
+
+104
+00:07:48,440 --> 00:07:56,060
+is equal to zero here I go and put v is equal to
+
+105
+00:07:56,060 --> 00:07:59,560
+zero zero means that the dot is neither parallel
+
+106
+00:07:59,560 --> 00:08:03,280
+nor complex zero means that the dot is parallel
+
+107
+00:08:03,280 --> 00:08:11,400
+then v is equal to zero then
+
+108
+00:08:11,400 --> 00:08:21,640
+the first thing I bring is the Ii to sawi han
+
+109
+00:08:21,640 --> 00:08:29,900
+sharta ala v wa yisawi 1 han sharta fil hawa ala 0
+
+110
+00:08:29,900 --> 00:08:32,720
+wa yisawi ila mala nihaya
+
+111
+00:08:43,530 --> 00:08:49,590
+look at the final capital letter infinity
+
+112
+00:08:49,590 --> 00:08:54,390
+let's
+
+113
+00:08:54,390 --> 00:08:59,930
+write it faster infinity now it's not this that
+
+114
+00:08:59,930 --> 00:09:01,390
+matters, what matters is the transference
+
+115
+00:09:01,390 --> 00:09:05,830
+magnification if the object on F A is equal to U
+
+116
+00:09:05,830 --> 00:09:12,670
+over V and is equal to minus 5 diopters
+
+117
+00:09:18,170 --> 00:09:21,190
+Any thing that is divided by zero gives me
+
+118
+00:09:21,190 --> 00:09:25,230
+infinity, which means its magnitude is very huge,
+
+119
+00:09:26,270 --> 00:09:30,510
+there is nothing bigger than it. So this is proven
+
+120
+00:09:30,510 --> 00:09:34,790
+by math calculations. Now let's stay with logical
+
+121
+00:09:34,790 --> 00:09:38,330
+calculations. With logical calculations, we say as
+
+122
+00:09:38,330 --> 00:09:43,030
+follows. We want to draw a calculation and
+
+123
+00:09:43,030 --> 00:09:46,010
+calculate this word logically.we say that these
+
+124
+00:09:46,010 --> 00:09:55,330
+are two rays this is one ray and
+
+125
+00:09:55,330 --> 00:10:00,850
+this is another ray these
+
+126
+00:10:00,850 --> 00:10:04,090
+are divergent from each other now I want to draw
+
+127
+00:10:04,090 --> 00:10:08,790
+another pair of rays
+
+128
+00:10:30,630 --> 00:10:43,410
+نعطيهم لون آخر نقول
+
+129
+00:10:43,410 --> 00:10:47,430
+عنا two blue rays و two red rays هدولة more
+
+130
+00:10:47,430 --> 00:10:52,370
+divergent و هدولة less divergent طيب، الآن ال more
+
+131
+00:10:52,370 --> 00:10:56,150
+divergent لو حبيت أخليهم أمدهم لورا و يلتقيوا،
+
+132
+00:10:56,150 --> 00:11:09,320
+بيلتقيوا بسرعةالتقيوا بسرعة ال extension بتاعهم أو
+
+133
+00:11:09,320 --> 00:11:15,840
+خليني أبقى بدون ما احنا هو نفسه هنكبره بنفس اتجاهه
+
+134
+00:11:15,840 --> 00:11:23,180
+وهنا نفسه هنكبره بنفس اتجاهه هيلتقيوا بعد مسافة
+
+135
+00:11:23,180 --> 00:11:31,290
+بسيطةفبالتالي ال virtual image هتكون يعني مكبرة بس
+
+136
+00:11:31,290 --> 00:11:35,390
+مش هتتكبير كل ما كانت الأشعة less divergent عشان
+
+137
+00:11:35,390 --> 00:11:42,130
+تلتقي لابد من امتدادها مسافة أبعد مسافة أبعد عشان
+
+138
+00:11:42,130 --> 00:11:47,690
+تقدر تلتقي لابد
+
+139
+00:11:47,690 --> 00:11:52,310
+من مسافة أبعد طيب لما بيكون عند الأشعة parallel مش
+
+140
+00:11:52,310 --> 00:12:11,060
+هتلتقينعاود احنا ..
+
+141
+00:12:11,060 --> 00:12:19,660
+نقول
+
+142
+00:12:19,660 --> 00:12:22,120
+كالعادي، هاي أنا عندي ..
+
+143
+00:12:28,050 --> 00:12:32,210
+كل ما بعدت جربت من ال fa اللي هو على بعد 300 بتكبر
+
+144
+00:12:32,210 --> 00:12:38,130
+الصورة أكتر وكل ما بعدت عنها بتجيل كبر الصورة صحيح
+
+145
+00:12:38,130 --> 00:12:41,870
+مكبرة بس بجيل كبرها ليش؟ لإن الأشعة بتصير more
+
+146
+00:12:41,870 --> 00:12:45,510
+divergent هنا الأشعة كل ما جربت من fa بتصير less
+
+147
+00:12:45,510 --> 00:12:50,150
+divergent فال less divergent امتداداته للخلف بعيدة
+
+148
+00:12:50,150 --> 00:12:55,360
+امتداداته للخلف بعيدة لما بيصير على بعدIt is the
+
+149
+00:12:55,360 --> 00:12:57,800
+same distance that is read becomes parallel, and
+
+150
+00:12:57,800 --> 00:13:00,480
+if the parallel goes backwards, it will not meet,
+
+151
+00:13:00,560 --> 00:13:04,080
+so the picture will be in infinity, and therefore
+
+152
+00:13:04,080 --> 00:13:07,340
+it will also be virtual, and it will be very
+
+153
+00:13:07,340 --> 00:13:10,400
+large, there is nothing bigger than that. And the
+
+154
+00:13:10,400 --> 00:13:12,900
+last point remains to be said, we say as usual, if
+
+155
+00:13:12,900 --> 00:13:17,060
+I started to send, the rays began to become
+
+156
+00:13:17,060 --> 00:13:22,560
+convergent, so it becamereal image, not virtual
+
+157
+00:13:22,560 --> 00:13:26,160
+image. The more you send it, the more convergent
+
+158
+00:13:26,160 --> 00:13:28,780
+it becomes. And eventually, this is where the
+
+159
+00:13:28,780 --> 00:13:34,380
+image starts to form. The more you send it, the
+
+160
+00:13:34,380 --> 00:13:38,760
+more convergent it becomes. This is what we call
+
+161
+00:13:38,760 --> 00:13:42,280
+the convergence of things. Convergence of things.
+
+162
+00:13:42,400 --> 00:13:46,960
+So with the FA, it is the biggest
+
+163
+00:13:49,140 --> 00:13:52,000
+magnification possible, the biggest magnification
+
+164
+00:13:52,000 --> 00:13:57,280
+possible ممكن الإنسان يمسك عدسة glass ويعمل هذه
+
+165
+00:13:57,280 --> 00:14:02,260
+التجربة يعني يضيق شمعة ويخل الشمعة داخل ال FA
+
+166
+00:14:02,260 --> 00:14:06,940
+بتاعة العدسة و بعد ذلك يبعد الشمعة أو يبعد العدسة
+
+167
+00:14:06,940 --> 00:14:10,260
+لغاية ما الشمعة تيجي على ال FA أمتى بيعرف أن
+
+168
+00:14:10,260 --> 00:14:14,940
+الشمعة موقعها عند ال FA لما يحصل على أكبر صورة لها
+
+169
+00:14:15,630 --> 00:14:19,190
+الشامعة بعد هيك هيصوف الصورة بتاعت لها بالشامعة
+
+170
+00:14:19,190 --> 00:14:24,250
+صارت مجلوبة معناته الصورة صارت real صارت real هنا
+
+171
+00:14:24,250 --> 00:14:27,830
+بنتهي هذا الإفادة ويعطيكم العافية والسلام عليكم
+
+172
+00:14:27,830 --> 00:14:29,930
+ورحمة الله وبركاته
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/jLvtzY4UmaQ_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/jLvtzY4UmaQ_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d52d9c7caefc5c4043ef3e9574c29f91a41025ba
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/jLvtzY4UmaQ_postprocess.srt
@@ -0,0 +1,688 @@
+1
+00:00:01,770 --> 00:00:08,290
+بسم الله الرحمن الرحيم، اليوم هنحكي عن نقطة يعني
+
+2
+00:00:08,290 --> 00:00:12,090
+قد يستغرب الإنسان منها، تابعة في ال geometric
+
+3
+00:00:12,090 --> 00:00:16,670
+optics طبعا، طبعا إذا كان ال object موجود داخل ال
+
+4
+00:00:16,670 --> 00:00:21,130
+FA، داخل ال FA، الصورة بتكون virtual و erect و
+
+5
+00:00:21,130 --> 00:00:27,270
+magnified، يعني مكبرة و virtual و مش مجلوبةbecause
+
+6
+00:00:27,270 --> 00:00:30,310
+the biggest pride .. the biggest pride we get when
+
+7
+00:00:30,310 --> 00:00:34,390
+we have the exact FA let's see this in simulation
+
+8
+00:00:34,390 --> 00:00:36,750
+how .. how it happens with it we say as follows
+
+9
+00:00:36,750 --> 00:00:42,610
+here we have the eye of the lens plus lens and
+
+10
+00:00:42,610 --> 00:00:48,990
+let's assume that this plus lens its reading
+
+11
+00:00:48,990 --> 00:00:51,580
+distancetwo hundred millimeters means twenty
+
+12
+00:00:51,580 --> 00:00:54,740
+centimeters plus five diopters will be plus five
+
+13
+00:00:54,740 --> 00:00:58,980
+diopters will be we will put the ruler to help us
+
+14
+00:00:58,980 --> 00:01:04,600
+we will put the object inside the FA and after
+
+15
+00:01:04,600 --> 00:01:08,500
+that we leave it exactly on the FA and see how
+
+16
+00:01:08,500 --> 00:01:12,240
+things happen with us and that every time we move
+
+17
+00:01:12,240 --> 00:01:15,560
+away from the FA of course the FA becomes twenty
+
+18
+00:01:15,560 --> 00:01:22,530
+centimetersmeans if the lens is at number 500 if
+
+19
+00:01:22,530 --> 00:01:26,090
+the lens is at number 500 means that the f-a will
+
+20
+00:01:26,090 --> 00:01:32,930
+be 20 cm away from 300 from 300 let's see now I
+
+21
+00:01:32,930 --> 00:01:36,570
+want to choose point source of light and put it
+
+22
+00:01:36,570 --> 00:01:39,330
+inside the f-a which is closer than 300 I want to
+
+23
+00:01:39,330 --> 00:01:44,310
+put it at a distance of about 5 cm from the lens
+
+24
+00:01:45,770 --> 00:01:48,830
+The rays are divergent, the rays are divergent, I
+
+25
+00:01:48,830 --> 00:01:51,310
+want to do blocking to the rays, the rays are
+
+26
+00:01:51,310 --> 00:01:54,510
+divergent to what enters in the lens, what enters
+
+27
+00:01:54,510 --> 00:01:57,530
+in the lens, what does not enter in the lens, we
+
+28
+00:01:57,530 --> 00:02:04,790
+want to try to block it to reduce from, let's do
+
+29
+00:02:04,790 --> 00:02:08,430
+duplication to the blocker and move it down to the
+
+30
+00:02:08,430 --> 00:02:13,610
+bottomto hide things that I don't need to hide
+
+31
+00:02:13,610 --> 00:02:15,970
+things that I don't need to hide also the density
+
+32
+00:02:15,970 --> 00:02:22,470
+of things that we want to hide these objects which
+
+33
+00:02:22,470 --> 00:02:25,010
+is the green dot that came out of his nose his
+
+34
+00:02:25,010 --> 00:02:30,870
+height for example let's say 3 squares let's get
+
+35
+00:02:30,870 --> 00:02:33,990
+it with the square here with the grid let's see
+
+36
+00:02:33,990 --> 00:02:35,950
+the picture where it will be formed let's do
+
+37
+00:02:35,950 --> 00:02:38,190
+extension the picture
+
+38
+00:02:43,140 --> 00:02:47,640
+Divergent rays can not in some cases form a real
+
+39
+00:02:47,640 --> 00:02:50,720
+image, so it forms a virtual image The virtual
+
+40
+00:02:50,720 --> 00:02:53,980
+image is higher than the height of the object, so
+
+41
+00:02:53,980 --> 00:03:00,160
+I have a magnified image Now I want to remove the
+
+42
+00:03:00,160 --> 00:03:04,120
+object and put it here and the blocker here of
+
+43
+00:03:04,120 --> 00:03:04,240
+course
+
+44
+00:03:07,460 --> 00:03:12,260
+and the second blocker here I moved away a little
+
+45
+00:03:12,260 --> 00:03:15,020
+bit, but I'm still inside the FA The picture is
+
+46
+00:03:15,020 --> 00:03:25,520
+bigger Okay, I'll move this away a little bit more
+
+47
+00:03:25,520 --> 00:03:33,820
+When I moved away a little bit The picture is
+
+48
+00:03:33,820 --> 00:03:36,320
+bigger and bigger The picture is bigger and bigger
+
+49
+00:03:39,900 --> 00:03:44,600
+The height of the image because the rays that come
+
+50
+00:03:44,600 --> 00:03:49,440
+out are less divergent Here the rays are more
+
+51
+00:03:49,440 --> 00:03:53,200
+divergent away from each other Here it starts to
+
+52
+00:03:53,200 --> 00:03:55,200
+become less divergent and the image gets bigger
+
+53
+00:03:55,200 --> 00:03:58,780
+and bigger What gets bigger? Okay, when I get to a
+
+54
+00:03:58,780 --> 00:04:03,760
+point that I'm coming to the FA I will have the
+
+55
+00:04:03,760 --> 00:04:05,940
+largest magnification of the rays because the rays
+
+56
+00:04:05,940 --> 00:04:08,880
+will come out parallel so their extensions to the
+
+57
+00:04:08,880 --> 00:04:13,460
+backWe will see it on a very large distance, so it
+
+58
+00:04:13,460 --> 00:04:16,020
+will have a chance to grow a lot. That's why on
+
+59
+00:04:16,020 --> 00:04:18,660
+the FA, the larger the magnification. Inside the
+
+60
+00:04:18,660 --> 00:04:22,180
+FA, the rays start to meet, and the image is
+
+61
+00:04:22,180 --> 00:04:24,920
+enlarged, true, but smaller than when it was on
+
+62
+00:04:24,920 --> 00:04:30,420
+the FA. Smaller than when it was on the FA. Now I
+
+63
+00:04:30,420 --> 00:04:35,440
+tried more, the image started to shrink more. I
+
+64
+00:04:35,440 --> 00:04:42,070
+try more, it shrinks more.and it is still bigger
+
+65
+00:04:42,070 --> 00:04:44,290
+than the object it is always enlarged inside the
+
+66
+00:04:44,290 --> 00:04:47,550
+mouth enlarged and bigger enlargement when I'm on
+
+67
+00:04:47,550 --> 00:04:52,250
+the mouth if you notice here if I tried a lot the
+
+68
+00:04:52,250 --> 00:04:55,390
+picture is still bigger it is the point of contact
+
+69
+00:04:55,390 --> 00:04:58,090
+of the radiation extensions the point of contact
+
+70
+00:04:58,090 --> 00:05:02,290
+of the radiation extensions and therefore this is
+
+71
+00:05:02,290 --> 00:05:05,710
+what we mean by enlargement ok can this be proven
+
+72
+00:05:05,710 --> 00:05:07,590
+mathematically? we say yes it can be proven
+
+73
+00:05:07,590 --> 00:05:22,020
+mathematicallywe say when I have a lens when
+
+74
+00:05:22,020 --> 00:05:26,740
+I have a lens for example plus five this is a
+
+75
+00:05:26,740 --> 00:05:30,480
+vector and
+
+76
+00:05:30,480 --> 00:05:32,040
+this is my optical axis
+
+77
+00:05:39,290 --> 00:05:44,250
+and here I have an object with a length of 20cm
+
+78
+00:05:44,250 --> 00:05:47,310
+20cm
+
+79
+00:05:47,310 --> 00:05:57,090
+make it thick of course here plus 5 is negative
+
+80
+00:06:12,040 --> 00:06:18,300
+وهنا المسافة عشرين سانتي مسافة
+
+81
+00:06:18,300 --> 00:06:24,090
+عشرين سانتيbetween the object and the lens. So the
+
+82
+00:06:24,090 --> 00:06:27,350
+object is coming to the face exactly. You see, how
+
+83
+00:06:27,350 --> 00:06:29,810
+much is the magnification? Of course, the picture
+
+84
+00:06:29,810 --> 00:06:32,910
+is virtual. The picture is virtual. One can say,
+
+85
+00:06:33,010 --> 00:06:35,650
+well, the rays are parallel, they will not meet at
+
+86
+00:06:35,650 --> 00:06:37,870
+once. We say, no, also parallel and the rays are
+
+87
+00:06:37,870 --> 00:06:40,250
+divergent, they will not meet at once. Its
+
+88
+00:06:40,250 --> 00:06:42,130
+extension does not mean that the light returns to
+
+89
+00:06:42,130 --> 00:06:44,730
+the back. No. We extended it and said that the
+
+90
+00:06:44,730 --> 00:06:49,180
+virtual image is a trick.Or a tool that makes it
+
+91
+00:06:49,180 --> 00:06:52,080
+easier for us to understand or simplify the
+
+92
+00:06:52,080 --> 00:06:54,540
+science of geometrical optics When we say u is
+
+93
+00:06:54,540 --> 00:06:57,900
+equal to negative n over o Because the light is
+
+94
+00:06:57,900 --> 00:07:00,680
+divergent from the object It is equal to negative
+
+95
+00:07:00,680 --> 00:07:07,140
+one over two out of ten meters And it is equal to
+
+96
+00:07:07,140 --> 00:07:14,020
+negative five diopters So I go and put five
+
+97
+00:07:14,020 --> 00:07:19,610
+diopters at the front of the lens minus 5 diopters
+
+98
+00:07:19,610 --> 00:07:23,110
+we
+
+99
+00:07:23,110 --> 00:07:26,130
+say that the light will reach a frequency of minus
+
+100
+00:07:26,130 --> 00:07:30,310
+5 diopters how much frequency will it reach? let's
+
+101
+00:07:30,310 --> 00:07:34,630
+calculate V U
+
+102
+00:07:34,630 --> 00:07:42,270
+plus P to the power equals V U minus 5 diopters
+
+103
+00:07:42,270 --> 00:07:48,440
+and the power plus 5 diopters is equal to v then v
+
+104
+00:07:48,440 --> 00:07:56,060
+is equal to zero here I go and put v is equal to
+
+105
+00:07:56,060 --> 00:07:59,560
+zero zero means that the dot is neither parallel
+
+106
+00:07:59,560 --> 00:08:03,280
+nor complex zero means that the dot is parallel
+
+107
+00:08:03,280 --> 00:08:11,400
+then v is equal to zero then
+
+108
+00:08:11,400 --> 00:08:21,640
+the first thing I bring is the Ii to sawi han
+
+109
+00:08:21,640 --> 00:08:29,900
+sharta ala v wa yisawi 1 han sharta fil hawa ala 0
+
+110
+00:08:29,900 --> 00:08:32,720
+wa yisawi ila mala nihaya
+
+111
+00:08:43,530 --> 00:08:49,590
+look at the final capital letter infinity
+
+112
+00:08:49,590 --> 00:08:54,390
+let's
+
+113
+00:08:54,390 --> 00:08:59,930
+write it faster infinity now it's not this that
+
+114
+00:08:59,930 --> 00:09:01,390
+matters, what matters is the transference
+
+115
+00:09:01,390 --> 00:09:05,830
+magnification if the object on F A is equal to U
+
+116
+00:09:05,830 --> 00:09:12,670
+over V and is equal to minus 5 diopters
+
+117
+00:09:18,170 --> 00:09:21,190
+Any thing that is divided by zero gives me
+
+118
+00:09:21,190 --> 00:09:25,230
+infinity, which means its magnitude is very huge,
+
+119
+00:09:26,270 --> 00:09:30,510
+there is nothing bigger than it. So this is proven
+
+120
+00:09:30,510 --> 00:09:34,790
+by math calculations. Now let's stay with logical
+
+121
+00:09:34,790 --> 00:09:38,330
+calculations. With logical calculations, we say as
+
+122
+00:09:38,330 --> 00:09:43,030
+follows. We want to draw a calculation and
+
+123
+00:09:43,030 --> 00:09:46,010
+calculate this word logically.we say that these
+
+124
+00:09:46,010 --> 00:09:55,330
+are two rays this is one ray and
+
+125
+00:09:55,330 --> 00:10:00,850
+this is another ray these
+
+126
+00:10:00,850 --> 00:10:04,090
+are divergent from each other now I want to draw
+
+127
+00:10:04,090 --> 00:10:08,790
+another pair of rays
+
+128
+00:10:30,630 --> 00:10:43,410
+نعطيهم لون آخر نقول
+
+129
+00:10:43,410 --> 00:10:47,430
+عنا two blue rays و two red rays هدولة more
+
+130
+00:10:47,430 --> 00:10:52,370
+divergent و هدولة less divergent طيب، الآن ال more
+
+131
+00:10:52,370 --> 00:10:56,150
+divergent لو حبيت أخليهم أمدهم لورا و يلتقيوا،
+
+132
+00:10:56,150 --> 00:11:09,320
+بيلتقيوا بسرعةالتقيوا بسرعة ال extension بتاعهم أو
+
+133
+00:11:09,320 --> 00:11:15,840
+خليني أبقى بدون ما احنا هو نفسه هنكبره بنفس اتجاهه
+
+134
+00:11:15,840 --> 00:11:23,180
+وهنا نفسه هنكبره بنفس اتجاهه هيلتقيوا بعد مسافة
+
+135
+00:11:23,180 --> 00:11:31,290
+بسيطةفبالتالي ال virtual image هتكون يعني مكبرة بس
+
+136
+00:11:31,290 --> 00:11:35,390
+مش هتتكبير كل ما كانت الأشعة less divergent عشان
+
+137
+00:11:35,390 --> 00:11:42,130
+تلتقي لابد من امتدادها مسافة أبعد مسافة أبعد عشان
+
+138
+00:11:42,130 --> 00:11:47,690
+تقدر تلتقي لابد
+
+139
+00:11:47,690 --> 00:11:52,310
+من مسافة أبعد طيب لما بيكون عند الأشعة parallel مش
+
+140
+00:11:52,310 --> 00:12:11,060
+هتلتقينعاود احنا ..
+
+141
+00:12:11,060 --> 00:12:19,660
+نقول
+
+142
+00:12:19,660 --> 00:12:22,120
+كالعادي، هاي أنا عندي ..
+
+143
+00:12:28,050 --> 00:12:32,210
+كل ما بعدت جربت من ال fa اللي هو على بعد 300 بتكبر
+
+144
+00:12:32,210 --> 00:12:38,130
+الصورة أكتر وكل ما بعدت عنها بتجيل كبر الصورة صحيح
+
+145
+00:12:38,130 --> 00:12:41,870
+مكبرة بس بجيل كبرها ليش؟ لإن الأشعة بتصير more
+
+146
+00:12:41,870 --> 00:12:45,510
+divergent هنا الأشعة كل ما جربت من fa بتصير less
+
+147
+00:12:45,510 --> 00:12:50,150
+divergent فال less divergent امتداداته للخلف بعيدة
+
+148
+00:12:50,150 --> 00:12:55,360
+امتداداته للخلف بعيدة لما بيصير على بعدIt is the
+
+149
+00:12:55,360 --> 00:12:57,800
+same distance that is read becomes parallel, and
+
+150
+00:12:57,800 --> 00:13:00,480
+if the parallel goes backwards, it will not meet,
+
+151
+00:13:00,560 --> 00:13:04,080
+so the picture will be in infinity, and therefore
+
+152
+00:13:04,080 --> 00:13:07,340
+it will also be virtual, and it will be very
+
+153
+00:13:07,340 --> 00:13:10,400
+large, there is nothing bigger than that. And the
+
+154
+00:13:10,400 --> 00:13:12,900
+last point remains to be said, we say as usual, if
+
+155
+00:13:12,900 --> 00:13:17,060
+I started to send, the rays began to become
+
+156
+00:13:17,060 --> 00:13:22,560
+convergent, so it becamereal image, not virtual
+
+157
+00:13:22,560 --> 00:13:26,160
+image. The more you send it, the more convergent
+
+158
+00:13:26,160 --> 00:13:28,780
+it becomes. And eventually, this is where the
+
+159
+00:13:28,780 --> 00:13:34,380
+image starts to form. The more you send it, the
+
+160
+00:13:34,380 --> 00:13:38,760
+more convergent it becomes. This is what we call
+
+161
+00:13:38,760 --> 00:13:42,280
+the convergence of things. Convergence of things.
+
+162
+00:13:42,400 --> 00:13:46,960
+So with the FA, it is the biggest
+
+163
+00:13:49,140 --> 00:13:52,000
+magnification possible, the biggest magnification
+
+164
+00:13:52,000 --> 00:13:57,280
+possible ممكن الإنسان يمسك عدسة glass ويعمل هذه
+
+165
+00:13:57,280 --> 00:14:02,260
+التجربة يعني يضيق شمعة ويخل الشمعة داخل ال FA
+
+166
+00:14:02,260 --> 00:14:06,940
+بتاعة العدسة و بعد ذلك يبعد الشمعة أو يبعد العدسة
+
+167
+00:14:06,940 --> 00:14:10,260
+لغاية ما الشمعة تيجي على ال FA أمتى بيعرف أن
+
+168
+00:14:10,260 --> 00:14:14,940
+الشمعة موقعها عند ال FA لما يحصل على أكبر صورة لها
+
+169
+00:14:15,630 --> 00:14:19,190
+الشامعة بعد هيك هيصوف الصورة بتاعت لها بالشامعة
+
+170
+00:14:19,190 --> 00:14:24,250
+صارت مجلوبة معناته الصورة صارت real صارت real هنا
+
+171
+00:14:24,250 --> 00:14:27,830
+بنتهي هذا الإفادة ويعطيكم العافية والسلام عليكم
+
+172
+00:14:27,830 --> 00:14:29,930
+ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/knhdMfgMGvc_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/knhdMfgMGvc_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..7da0779f77de17f83ba967551a18eb5e7578e9bb
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/knhdMfgMGvc_raw.srt
@@ -0,0 +1,1304 @@
+1
+00:00:01,700 --> 00:00:04,280
+بسم الله الرحمن الرحيم، بنواصل محاضرات الـ
+
+2
+00:00:04,280 --> 00:00:08,280
+Geometric Optics، ووصلنا عند الprinciple planes
+
+3
+00:00:08,280 --> 00:00:13,840
+and points If an object's position change in front
+
+4
+00:00:13,840 --> 00:00:16,680
+of the lens, both the location and magnification
+
+5
+00:00:16,680 --> 00:00:20,180
+of the image change كلنا بنعرف أن ال object
+
+6
+00:00:20,180 --> 00:00:26,000
+location أو position بيأثر على موقع ال image
+
+7
+00:00:26,000 --> 00:00:30,420
+وطالما بيأثر على موقع ال image، إذا حيأثر على ال
+
+8
+00:00:30,420 --> 00:00:34,610
+magnificationMost optical systems have one
+
+9
+00:00:34,610 --> 00:00:37,630
+particular object location that yields
+
+10
+00:00:37,630 --> 00:00:43,710
+magnification of one بمعنى أخر تقريبا الغالبية
+
+11
+00:00:43,710 --> 00:00:47,050
+العظمة من ال optical systems في position معين لل
+
+12
+00:00:47,050 --> 00:00:50,830
+objectلما بيكون هذا ال object موجود في هذا ال
+
+13
+00:00:50,830 --> 00:00:54,830
+position، بيكون ساعتها ال magnification plus one
+
+14
+00:00:54,830 --> 00:00:58,590
+إيش يعني plus one؟ يعني in other words، بعبارات
+
+15
+00:00:58,590 --> 00:01:02,050
+أخرى، when an object is located in the correct
+
+16
+00:01:02,050 --> 00:01:05,570
+position, the image will be upright and the same
+
+17
+00:01:05,570 --> 00:01:10,830
+size as the objectممكن إنسان يستعجب يقول يعني كيف
+
+18
+00:01:10,830 --> 00:01:13,270
+يعني ال object is located in the correct position
+
+19
+00:01:13,270 --> 00:01:16,930
+يعني ممكن يكون موقع ال object خطأ، لأ، بنقول في
+
+20
+00:01:16,930 --> 00:01:20,840
+موقع ما في الفرارلو ال object بتاع ال optical
+
+21
+00:01:20,840 --> 00:01:25,780
+system كان موجود في هذا الموقع يعني في الموقع اللي
+
+22
+00:01:25,780 --> 00:01:29,440
+يعطيني magnification plus one ساعتها ال
+
+23
+00:01:29,440 --> 00:01:32,880
+magnification هيكون plus one لو تغير موقع ال
+
+24
+00:01:32,880 --> 00:01:38,980
+object ممكن طبعا او مش ممكن اكيد الصورة هيتغير
+
+25
+00:01:38,980 --> 00:01:44,520
+موقعها وبالتالي ال magnification هيتغير موقعه اذا
+
+26
+00:01:44,520 --> 00:01:48,390
+في موقع واحد هو اللي بيعطيني magnification x plus
+
+27
+00:01:48,390 --> 00:01:54,170
+one x plus oneand this is understood that changing
+
+28
+00:01:54,170 --> 00:01:56,390
+the location of the object changes the location of
+
+29
+00:01:56,390 --> 00:01:59,030
+the image from the beginning when we talked about
+
+30
+00:01:59,030 --> 00:02:01,810
+the lens maker equation and the thin lens equation
+
+31
+00:02:01,810 --> 00:02:05,350
+as long as the object distance O is on one side of
+
+32
+00:02:05,350 --> 00:02:08,130
+the equation and the image distance I is on the
+
+33
+00:02:08,130 --> 00:02:09,790
+other side then changing the location of the
+
+34
+00:02:09,790 --> 00:02:12,750
+object changes the location of the image this is
+
+35
+00:02:12,750 --> 00:02:15,310
+understood but there is a specific location
+
+36
+00:02:15,310 --> 00:02:18,580
+especially if the object is found with himIn any
+
+37
+00:02:18,580 --> 00:02:21,720
+optical system, the magnification will be one.
+
+38
+00:02:21,820 --> 00:02:23,560
+What does one mean? One means the usual picture
+
+39
+00:02:23,560 --> 00:02:29,280
+and its size or height is the same as the object
+
+40
+00:02:29,280 --> 00:02:33,980
+or height The principal planes, of course, one can
+
+41
+00:02:33,980 --> 00:02:36,520
+say what is the relationship between these words?
+
+42
+00:02:37,630 --> 00:02:40,410
+قضية ال magnification و ال object position و ال
+
+43
+00:02:40,410 --> 00:02:44,870
+image position في ال principle planes هتتضح القضية
+
+44
+00:02:44,870 --> 00:02:48,470
+بعد قليل ان شاء الله تعالى The principle planes
+
+45
+00:02:48,470 --> 00:02:53,770
+are perpendicular to the optical axis and identify
+
+46
+00:02:53,770 --> 00:02:56,490
+the object and image locations that yield a
+
+47
+00:02:56,490 --> 00:03:01,640
+magnification of oneI have two principal planes,
+
+48
+00:03:02,220 --> 00:03:05,200
+the anterior principal plane and the posterior
+
+49
+00:03:05,200 --> 00:03:09,000
+principal plane. These are the principal planes.
+
+50
+00:03:09,100 --> 00:03:12,180
+If the object is at the anterior principal plane,
+
+51
+00:03:12,740 --> 00:03:15,640
+the image will be at the posterior principal plane
+
+52
+00:03:15,640 --> 00:03:19,460
+and the magnification will be 1 standard. 1
+
+53
+00:03:19,460 --> 00:03:23,930
+standard means x plus 1So, the first
+
+54
+00:03:23,930 --> 00:03:27,670
+characteristic of principal planes is that they
+
+55
+00:03:27,670 --> 00:03:30,150
+are perpendicular to the optical axis. Each
+
+56
+00:03:30,150 --> 00:03:32,490
+principal plane is perpendicular to the optical
+
+57
+00:03:32,490 --> 00:03:34,950
+axis. The anterior principal and posterior
+
+58
+00:03:34,950 --> 00:03:38,110
+principal are perpendicular to the optical axis.
+
+59
+00:03:38,970 --> 00:03:42,210
+If the object is at the anterior principal plane
+
+60
+00:03:43,370 --> 00:03:45,730
+The image will form at the posterior principal
+
+61
+00:03:45,730 --> 00:03:49,450
+plane and the magnification will be 1 x 1 x 1
+
+62
+00:03:49,450 --> 00:03:52,290
+which means that the image is regular and the
+
+63
+00:03:52,290 --> 00:03:57,180
+object is very highthe principal planes are also
+
+64
+00:03:57,180 --> 00:04:10,420
+called the planes of unit magnification and are
+
+65
+00:04:10,420 --> 00:04:13,900
+geometric representations of where the bending of
+
+66
+00:04:13,900 --> 00:04:15,480
+light ray occurs
+
+67
+00:04:20,850 --> 00:04:23,050
+they have a property that differs from all other
+
+68
+00:04:23,050 --> 00:04:29,070
+spatial levels this property is that if the object
+
+69
+00:04:29,070 --> 00:04:33,310
+is at the anterior principal plane the image will
+
+70
+00:04:33,310 --> 00:04:36,050
+be at the posterior principal plane and the
+
+71
+00:04:36,050 --> 00:04:39,190
+magnification will be x plus one which means the
+
+72
+00:04:39,190 --> 00:04:43,370
+image is regular and the object is real the second
+
+73
+00:04:43,370 --> 00:04:46,970
+property that we will talk aboutthat the principal
+
+74
+00:04:46,970 --> 00:04:55,670
+planes represent the place where the light breaks
+
+75
+00:04:55,670 --> 00:04:59,510
+Before we go to an example, we want to go to an
+
+76
+00:04:59,510 --> 00:05:02,130
+example from public life We want to go to an
+
+77
+00:05:02,130 --> 00:05:05,530
+example from public life and we hope to succeed in
+
+78
+00:05:05,530 --> 00:05:11,190
+this example The example requires us to draw some
+
+79
+00:05:11,190 --> 00:05:11,610
+drawings
+
+80
+00:05:26,210 --> 00:05:29,510
+مدينة مكونة من عديد من البيوت
+
+81
+00:05:57,950 --> 00:06:01,430
+This is to explain the idea of ​​what benefits me
+
+82
+00:06:01,430 --> 00:06:04,390
+to know the principal plans What benefits me to
+
+83
+00:06:04,390 --> 00:06:06,450
+know the principal plans?
+
+84
+00:06:08,970 --> 00:06:14,150
+Here we have a city made up of many houses and
+
+85
+00:06:14,150 --> 00:06:22,670
+roads between them And
+
+86
+00:06:22,670 --> 00:06:24,730
+this will help me understand the idea of ​​the
+
+87
+00:06:24,730 --> 00:06:35,130
+principal plansبشكل يعني مبسط حتى لأ ندخل في بعض
+
+88
+00:06:35,130 --> 00:06:37,550
+التعقيدات، في بعض التعقيدات
+
+89
+00:07:04,860 --> 00:07:08,300
+لابد من الإكشار من المنازل حتى تتضح الفكرة
+
+90
+00:07:41,920 --> 00:07:47,520
+So this city is composed of several houses and a
+
+91
+00:07:47,520 --> 00:07:50,300
+person who is present at this point wants to visit
+
+92
+00:07:50,300 --> 00:07:53,300
+another person who is present at the other side of
+
+93
+00:07:53,300 --> 00:08:04,660
+the city so he will do first walk
+
+94
+00:08:04,660 --> 00:08:09,140
+in this direction then
+
+95
+00:08:18,540 --> 00:08:29,560
+بالاتجاه هذا ثم بالاتجاه
+
+96
+00:08:29,560 --> 00:08:35,340
+هذا ثم
+
+97
+00:08:35,340 --> 00:08:39,780
+تابع
+
+98
+00:08:39,780 --> 00:08:45,040
+zero بالاتجاه هذا ثم تابع zero
+
+99
+00:08:47,760 --> 00:08:51,920
+بهذا الاتجاه و
+
+100
+00:08:51,920 --> 00:08:58,560
+ثم تابع سيرو بهذا
+
+101
+00:08:58,560 --> 00:09:08,560
+الاتجاه ثم تابع سيرو بهذا
+
+102
+00:09:08,560 --> 00:09:16,260
+الاتجاه ثم انتهى بيه المطاف انه التقى بصديقه عندها
+
+103
+00:09:16,260 --> 00:09:24,640
+دى النقطةلو سألنا او لو سأله صديقه كام التفاف بين
+
+104
+00:09:24,640 --> 00:09:30,120
+منازل المدينة فعلت حتى تصل إلى .. إلي أو إلى
+
+105
+00:09:30,120 --> 00:09:34,360
+النقطة اللي أنا يعني أقف عندها، هيقولله أول إشي
+
+106
+00:09:34,360 --> 00:09:41,620
+انحناق، اتنين، تلاتة، أربع، يعني أخيرين الزوايا،
+
+107
+00:09:41,620 --> 00:09:46,120
+اول انحناق، تاني انحناق، تالت انحناقfourth bend,
+
+108
+00:09:46,440 --> 00:09:51,200
+fifth bend, sixth bend, seventh bend, eighth bend,
+
+109
+00:09:51,680 --> 00:09:54,680
+ninth bend, tenth bend, eleventh bend, twelfth
+
+110
+00:09:54,680 --> 00:10:00,260
+bend, thirteenth bend, thirteen bends in a row or
+
+111
+00:10:00,260 --> 00:10:04,240
+in a circle until it reaches his friend his friend
+
+112
+00:10:04,240 --> 00:10:07,940
+simply told him if you stay on the edges of the
+
+113
+00:10:07,940 --> 00:10:21,360
+cityI went from the point that you were at to
+
+114
+00:10:21,360 --> 00:10:33,100
+the point that I am standing at with
+
+115
+00:10:33,100 --> 00:10:37,480
+only one rotation So if you walk in a straight
+
+116
+00:10:37,480 --> 00:10:41,470
+lineon the edges of the city, then you make one
+
+117
+00:10:41,470 --> 00:10:45,430
+curve at the last edge it is enough for you to
+
+118
+00:10:45,430 --> 00:10:51,570
+make one curve or one curve this curve is less
+
+119
+00:10:51,570 --> 00:10:59,070
+than 13 curves or 13 curves that you had to do to
+
+120
+00:10:59,070 --> 00:11:04,010
+get to this point this point is exactly similar to
+
+121
+00:11:04,010 --> 00:11:08,430
+principal planesبمعنى لما الضوء بيدخل ال optical
+
+122
+00:11:08,430 --> 00:11:14,230
+system متعدد العدسات عند السطح الأمامى للعدسة
+
+123
+00:11:14,230 --> 00:11:18,350
+الأولى حيصير انكسار عند السطح الخالفى حيصير انكسار
+
+124
+00:11:18,350 --> 00:11:22,730
+عند السطح الأمامى للعدسة التانية حيصير انكسار عند
+
+125
+00:11:22,730 --> 00:11:26,110
+السطح الخالفى للعدسة التانية حيصير انكسار عند
+
+126
+00:11:26,110 --> 00:11:29,350
+السطح الأمامى للعدسة التالتة وهكده هتتعدد
+
+127
+00:11:29,350 --> 00:11:33,670
+الانكسارات ال principal planeThe position of all
+
+128
+00:11:33,670 --> 00:11:36,690
+lenses, as if the light happened at the anterior,
+
+129
+00:11:36,990 --> 00:11:39,490
+or the refraction, or the reduction of the light,
+
+130
+00:11:39,630 --> 00:11:41,730
+or the change of the path of the light, happened
+
+131
+00:11:41,730 --> 00:11:44,250
+only at the anterior and posterior principal
+
+132
+00:11:44,250 --> 00:11:48,450
+plane, not at the multiple surfaces. This prevents
+
+133
+00:11:48,450 --> 00:11:51,170
+it. This is exactly like this point. The
+
+134
+00:11:51,170 --> 00:11:54,750
+refraction at it means that a position has been
+
+135
+00:11:54,750 --> 00:11:58,540
+established.كل الالتفاتات اللي هذا لإنه أدى نفس
+
+136
+00:11:58,540 --> 00:12:03,520
+الغرض و أدى بإنه الشخص وصل لصديقه أو الشخص اللي
+
+137
+00:12:03,520 --> 00:12:06,080
+بيعرفه فهذه فكرة the principally plain
+
+138
+00:12:09,910 --> 00:12:14,730
+are geometric representation بمثلولي المنطقة أو
+
+139
+00:12:14,730 --> 00:12:19,530
+المكان اللي حصل في انكسار الضوء طبعا انكسار الضوء
+
+140
+00:12:19,530 --> 00:12:23,630
+حقيقة حصل على جميع الأسطح تاع العدسات يعني لو
+
+141
+00:12:23,630 --> 00:12:28,590
+قولنا عنا كاميرا صحفية مكونة من 6 عدسات انكسار
+
+142
+00:12:28,590 --> 00:12:34,910
+الضوء حصل ب12 مرةعند السطح الأمامي للعدسة الأولى
+
+143
+00:12:34,910 --> 00:12:38,430
+والسطح الخالفي للعدسة الأولى يعني كل عدسة من الست
+
+144
+00:12:38,430 --> 00:12:43,570
+عدسات هيتم الانكسار تغير مسار الضوء عندها مرتين
+
+145
+00:12:43,570 --> 00:12:48,540
+مرة على سطحها الأمامي ومرة على سطحهاinstead of
+
+146
+00:12:48,540 --> 00:12:53,700
+analyzing the way of light at each lens and using
+
+147
+00:12:53,700 --> 00:12:58,100
+divergence calculation we define this system as a
+
+148
+00:12:58,100 --> 00:13:01,900
+whole to principal planes and say that the light
+
+149
+00:13:01,900 --> 00:13:04,420
+is rotated at anterior and posterior principal
+
+150
+00:13:04,420 --> 00:13:08,440
+planes and this is how we described this whole
+
+151
+00:13:08,440 --> 00:13:16,300
+thing that happened now let's see مثال بيوضح ال
+
+152
+00:13:16,300 --> 00:13:19,460
+principle please consider an optical system
+
+153
+00:13:19,460 --> 00:13:25,160
+consisting of two thin lenses in air هاي أنا عندي
+
+154
+00:13:25,160 --> 00:13:29,140
+optical system مكون من عدستين موجودين في الهواء
+
+155
+00:13:29,140 --> 00:13:33,060
+المسافة بينهم خمسة و تلاتين صنطي المسافة بينهم
+
+156
+00:13:33,060 --> 00:13:38,540
+خمسة و تلاتين صنطي ال object بيبعد بيبعد
+
+157
+00:13:40,830 --> 00:13:45,410
+The object is 50 cm away from the first lens The U
+
+158
+00:13:45,410 --> 00:13:51,390
+will be minus 2 The first lens is plus 6 The V
+
+159
+00:13:51,390 --> 00:13:55,510
+will be plus 4 As long as the V is plus 4, the
+
+160
+00:13:55,510 --> 00:14:00,410
+image will be 25 cm away You can calculate this
+
+161
+00:14:00,410 --> 00:14:04,970
+equation The first image is the object of the
+
+162
+00:14:04,970 --> 00:14:07,800
+second lensOkay, now how much is the first
+
+163
+00:14:07,800 --> 00:14:11,600
+transference magnification? We say U over V minus
+
+164
+00:14:11,600 --> 00:14:14,620
+two diopters to plus four diopters, which is X
+
+165
+00:14:14,620 --> 00:14:17,760
+minus half. The image is upside down and half the
+
+166
+00:14:17,760 --> 00:14:27,660
+height of the object. Okay? So, TM1 TM1
+
+167
+00:14:27,660 --> 00:14:30,800
+The
+
+168
+00:14:30,800 --> 00:14:33,180
+magnifier of the first image is equal to U over V
+
+169
+00:14:33,180 --> 00:14:39,220
+and equal to minus2 diopter by plus 4 diopter
+
+170
+00:14:39,220 --> 00:14:45,900
+which is equal to x minus half which means that
+
+171
+00:14:45,900 --> 00:14:52,080
+the picture is upside down and half
+
+172
+00:14:52,080 --> 00:14:56,640
+the height of the object now we want to calculate
+
+173
+00:14:56,640 --> 00:15:01,030
+Tm2But before we calculate TM2, we need to
+
+174
+00:15:01,030 --> 00:15:05,570
+complete the example The image is 25 cm away from
+
+175
+00:15:05,570 --> 00:15:09,770
+the first lens, so it is 10 cm away from the
+
+176
+00:15:09,770 --> 00:15:12,610
+second lens Why? Because the distance between the
+
+177
+00:15:12,610 --> 00:15:17,510
+two lenses is 35 cm, and it is 25 cm away from the
+
+178
+00:15:17,510 --> 00:15:21,330
+first lens, so it is 10 cm away from the second
+
+179
+00:15:21,330 --> 00:15:24,730
+lens The light will spread from the first image
+
+180
+00:15:24,730 --> 00:15:27,810
+because it is considered an object of the second
+
+181
+00:15:27,810 --> 00:15:30,590
+lens and will reach a magnitude of minus 10
+
+182
+00:15:30,590 --> 00:15:36,010
+diopters. Okay, minus 10 diopters, the lens
+
+183
+00:15:36,010 --> 00:15:38,470
+strength plus 15 will remain from its strength
+
+184
+00:15:38,470 --> 00:15:43,570
+plus 5 diopters. This is U and this is V. TM2
+
+185
+00:15:51,280 --> 00:15:54,420
+is equal to U over V which is equal to minus ten
+
+186
+00:15:54,420 --> 00:16:01,660
+diopters over plus five diopters which is equal to
+
+187
+00:16:01,660 --> 00:16:14,180
+X minus two X minus two The
+
+188
+00:16:14,180 --> 00:16:18,460
+Tm total Tm
+
+189
+00:16:18,460 --> 00:16:23,200
+totalIt is equal to Tm1 times Tm2 which is equal
+
+190
+00:16:23,200 --> 00:16:29,700
+to minus half times
+
+191
+00:16:29,700 --> 00:16:39,880
+minus two which is equal to x plus one So the
+
+192
+00:16:39,880 --> 00:16:43,160
+final magnification of the optical system as a
+
+193
+00:16:43,160 --> 00:16:52,650
+whole is plus oneWhen the object in this optical
+
+194
+00:16:52,650 --> 00:16:56,050
+system in particular, which is two lenses, the
+
+195
+00:16:56,050 --> 00:16:58,370
+first plus six and the second plus fifteen and
+
+196
+00:16:58,370 --> 00:17:01,490
+away from each other thirty-five centimeters When
+
+197
+00:17:01,490 --> 00:17:05,390
+the object stands at fifty centimeters to the left
+
+198
+00:17:05,390 --> 00:17:08,870
+of this optical system, the image will be twenty
+
+199
+00:17:08,870 --> 00:17:11,190
+centimeters away, and the most important point is
+
+200
+00:17:11,190 --> 00:17:14,380
+thatThe height of the image and the height of the
+
+201
+00:17:14,380 --> 00:17:16,880
+object is equal and the image is regular, not
+
+202
+00:17:16,880 --> 00:17:23,120
+upside down. So the final image is x plus one. So
+
+203
+00:17:23,120 --> 00:17:26,600
+this site in particular is neither closer nor
+
+204
+00:17:26,600 --> 00:17:29,660
+farther from it, it is what will give me x plus
+
+205
+00:17:29,660 --> 00:17:34,040
+one. So this area is the anterior principal plane
+
+206
+00:17:34,040 --> 00:17:38,800
+and this area is the posterior principal plane. It
+
+207
+00:17:38,800 --> 00:17:40,100
+is the posterior principal
+
+208
+00:17:50,040 --> 00:17:53,820
+often both the anterior and posterior principal
+
+209
+00:17:53,820 --> 00:18:00,120
+planes are virtualمش مستويات حقيقية virtual بمعنى
+
+210
+00:18:00,120 --> 00:18:03,320
+إن هم مش حقيقيين in some cases the posterior
+
+211
+00:18:03,320 --> 00:18:07,140
+principal plane is in front of the anterior
+
+212
+00:18:07,140 --> 00:18:11,120
+principal plane بمعنى ممكن في بعض ال optical
+
+213
+00:18:11,120 --> 00:18:15,240
+system ال posterior principal plane يكون قدام يعني
+
+214
+00:18:15,240 --> 00:18:18,060
+إلى الشمال دايما اللي إلى الشمال هو الأمام يعني
+
+215
+00:18:18,060 --> 00:18:20,620
+هذه العدسة بيسموها العدسة الأمامية و هذه العدسة
+
+216
+00:18:20,620 --> 00:18:24,380
+بيسموها العدسة الخلفية اللي هي مواجهة لل objectThe
+
+217
+00:18:24,380 --> 00:18:27,280
+posterior principal plane, especially in the minus
+
+218
+00:18:27,280 --> 00:18:31,680
+optical systems, the optical systems, which in the
+
+219
+00:18:31,680 --> 00:18:33,860
+end, the light comes out of them, are scattered,
+
+220
+00:18:34,420 --> 00:18:36,900
+this is considered minus, the posterior principal
+
+221
+00:18:36,900 --> 00:18:42,020
+plane can be in front of the anterior principal
+
+222
+00:18:42,020 --> 00:18:47,940
+planeIn some cases, the posterior principal plane
+
+223
+00:18:47,940 --> 00:18:51,820
+is in front of the anterior principal plane.طيب
+
+224
+00:18:51,820 --> 00:18:54,960
+الانضل نقطة اضافية او معلومة اضافية The
+
+225
+00:18:54,960 --> 00:18:58,020
+intersection تقاطع الانتريور والبستيريور
+
+226
+00:18:58,020 --> 00:19:01,680
+الprincipal planes with the optical axis defines
+
+227
+00:19:01,680 --> 00:19:05,000
+the corresponding anterior and posterior principal
+
+228
+00:19:05,000 --> 00:19:08,860
+points.يعني في المثال اللي احنا مرسوم أمامنا هاي
+
+229
+00:19:08,860 --> 00:19:13,160
+ال posterior principal plane هذا المستوى الفراغي
+
+230
+00:19:13,160 --> 00:19:16,450
+اللي بمر في الصورةthey call it posterior principal
+
+231
+00:19:16,450 --> 00:19:19,190
+plane and this spatial level that passes through
+
+232
+00:19:19,190 --> 00:19:22,970
+the object in our case is the anterior principal
+
+233
+00:19:22,970 --> 00:19:26,010
+plane point of intersection of this plane with the
+
+234
+00:19:26,010 --> 00:19:29,170
+optical axis they call it anterior principal point
+
+235
+00:19:29,170 --> 00:19:32,310
+and here they call it point of intersection with
+
+236
+00:19:32,310 --> 00:19:37,650
+the optical axis posterior principal pointThe
+
+237
+00:19:37,650 --> 00:19:40,490
+intersection of the anterior and posterior
+
+238
+00:19:40,490 --> 00:19:44,370
+principal planes with the optical axis defines the
+
+239
+00:19:44,370 --> 00:19:48,110
+corresponding anterior and posterior principal
+
+240
+00:19:48,110 --> 00:19:51,850
+points.
+
+241
+00:19:51,930 --> 00:19:56,050
+Like nodal points, the principal points arean
+
+242
+00:19:56,050 --> 00:19:59,630
+important pair of reference points. Exactly like
+
+243
+00:19:59,630 --> 00:20:01,830
+nodal points, but it has another function.
+
+244
+00:20:02,070 --> 00:20:06,630
+Principal points are important reference points.
+
+245
+00:20:09,630 --> 00:20:13,650
+I had a lot of references in geometrical optics
+
+246
+00:20:13,650 --> 00:20:16,590
+science, the first reference is the optical axis,
+
+247
+00:20:17,050 --> 00:20:20,210
+the second reference is nodal points, the third
+
+248
+00:20:20,210 --> 00:20:23,870
+reference is focal points, of course nodal points
+
+249
+00:20:23,870 --> 00:20:28,810
+and focal points with focal planesاليوم احنا أخدنا
+
+250
+00:20:28,810 --> 00:20:34,530
+ال principal points كنقات مرجعية و ال principal
+
+251
+00:20:34,530 --> 00:20:40,390
+planes ايضا كمستويات مرجعية طبعا ممكن يقاس بعد
+
+252
+00:20:40,390 --> 00:20:46,790
+الصورة .. بعد الصورة عن ال optical system من ال
+
+253
+00:20:46,790 --> 00:20:52,050
+posterior principal point للصورة و بعد ال object
+
+254
+00:20:52,050 --> 00:20:54,790
+عن ال optical system من ال anterior principal
+
+255
+00:20:54,790 --> 00:20:59,890
+point لل objectSo, it is very important that this
+
+256
+00:20:59,890 --> 00:21:06,190
+case is clear Now, in order to collect all
+
+257
+00:21:06,190 --> 00:21:09,670
+reference points, we say collectively In a way
+
+258
+00:21:09,670 --> 00:21:11,730
+that summarizes everything that has been said
+
+259
+00:21:11,730 --> 00:21:15,390
+before The nodal points, this is one Two, the
+
+260
+00:21:15,390 --> 00:21:19,620
+focal pointsThe principal points are called
+
+261
+00:21:19,620 --> 00:21:20,760
+cardinal points
+
+262
+00:21:34,090 --> 00:21:36,890
+وفي focal points تنتين طبعا nodal points تنتين
+
+263
+00:21:36,890 --> 00:21:40,070
+anterior و posterior وفي focal points تنتين
+
+264
+00:21:40,070 --> 00:21:44,010
+anterior و posterior وفي principal points anterior
+
+265
+00:21:44,010 --> 00:21:48,590
+و posterior هي عندي ستة أو three pairs تلت أزواج
+
+266
+00:21:48,590 --> 00:21:52,930
+من النقاط المرجعية are called the cardinal points
+
+267
+00:21:52,930 --> 00:21:56,350
+النقاط الرئيسية because these three pairs of
+
+268
+00:21:56,350 --> 00:21:59,110
+points completely describe the first order
+
+269
+00:21:59,110 --> 00:22:03,280
+propertiesof an optical system يعني باستعمال هذه
+
+270
+00:22:03,280 --> 00:22:07,960
+الأزواج التلاتة من النقاط ممكن أنا يعني أعمل توصيف
+
+271
+00:22:07,960 --> 00:22:13,240
+كامل لل optical system اللي أمامي باستعمالها و
+
+272
+00:22:13,240 --> 00:22:18,860
+بتمرير أشعة من خلالها هتساعدني كتير إن أعرف إيش
+
+273
+00:22:18,860 --> 00:22:22,880
+هذا هو ال optical system و وين هيكون ليه الصورة
+
+274
+00:22:22,880 --> 00:22:28,130
+طبعا بواسطة الرسم الgraphic طيبnotice that to
+
+275
+00:22:28,130 --> 00:22:31,770
+compare between three pairs of points two nodal
+
+276
+00:22:31,770 --> 00:22:35,630
+points, two focal points, two principal points we
+
+277
+00:22:35,630 --> 00:22:38,350
+notice that two pairs of cardinal points are
+
+278
+00:22:38,350 --> 00:22:42,790
+conjugated what does conjugate mean? pictures of
+
+279
+00:22:42,790 --> 00:22:45,770
+each other the posterior principal point is the
+
+280
+00:22:45,770 --> 00:22:50,150
+image of the anterior principal point in other
+
+281
+00:22:50,150 --> 00:22:53,710
+words, if there is a lost point on the anterior
+
+282
+00:22:53,710 --> 00:22:57,390
+principal pointits picture will be in the
+
+283
+00:22:57,390 --> 00:23:00,450
+posterior principal point, so the posterior
+
+284
+00:23:00,450 --> 00:23:03,570
+principal point is the picture of the anterior
+
+285
+00:23:03,570 --> 00:23:07,410
+principal point and the same relationship holds
+
+286
+00:23:07,410 --> 00:23:10,850
+for the nodal points, also the nodal points, also
+
+287
+00:23:10,850 --> 00:23:13,750
+the nodal points are pictures of each other, so if
+
+288
+00:23:13,750 --> 00:23:17,030
+there is a light passing throughin the anterior
+
+289
+00:23:17,030 --> 00:23:20,030
+nodal point, this same dot will come out of the
+
+290
+00:23:20,030 --> 00:23:23,690
+posterior nodal point or if there is a dot or
+
+291
+00:23:23,690 --> 00:23:27,570
+starting point from the anterior nodal point, its
+
+292
+00:23:27,570 --> 00:23:30,510
+shape will be in the posterior nodal point so
+
+293
+00:23:30,510 --> 00:23:35,990
+these are called conjugate points anterior and
+
+294
+00:23:35,990 --> 00:23:39,430
+posterior principal points are conjugate pointsAnd
+
+295
+00:23:39,430 --> 00:23:43,470
+anterior and posterior nodal points are conjugate
+
+296
+00:23:43,470 --> 00:23:46,890
+points, while focal points are not conjugate
+
+297
+00:23:46,890 --> 00:23:50,690
+points As we thought in previous lectures, if I
+
+298
+00:23:50,690 --> 00:23:53,470
+have a weak point or weak body in the anterior
+
+299
+00:23:53,470 --> 00:23:57,700
+focal point, in the FAThe rays that will come out
+
+300
+00:23:57,700 --> 00:24:01,060
+of the lens will come out parallel and will not go
+
+301
+00:24:01,060 --> 00:24:03,960
+to the posterior focal point, but will go to the
+
+302
+00:24:03,960 --> 00:24:08,420
+plus optical infinity Also, the posterior focal
+
+303
+00:24:08,420 --> 00:24:11,880
+point is not the image of the anterior focal
+
+304
+00:24:11,880 --> 00:24:16,440
+point, but the rays that come parallel to each
+
+305
+00:24:16,440 --> 00:24:19,040
+other and parallel to the optical axis from the
+
+306
+00:24:19,040 --> 00:24:23,120
+minus optical infinity will be its image in the
+
+307
+00:24:23,120 --> 00:24:28,090
+posterior focal pointفبالتالي هذه القضية, اذا ال
+
+308
+00:24:28,090 --> 00:24:31,110
+focal points مش conjugate, بينما ال nodal و ال
+
+309
+00:24:31,110 --> 00:24:34,010
+principal points are conjugate, طبعا conjugate ال
+
+310
+00:24:34,010 --> 00:24:38,420
+anterior مع ال posteriorAlso there is another
+
+311
+00:24:38,420 --> 00:24:41,960
+difference, two pairs of cardinal points are
+
+312
+00:24:41,960 --> 00:24:45,740
+associated with planes, which are focal points and
+
+313
+00:24:45,740 --> 00:24:48,000
+principal points When we talked about focal
+
+314
+00:24:48,000 --> 00:24:50,000
+points, we used to say that there is a parallel
+
+315
+00:24:50,000 --> 00:24:53,420
+with it, the focal plane, anterior focal plane and
+
+316
+00:24:53,420 --> 00:24:56,680
+posterior focal plane Also for principal points,
+
+317
+00:24:56,780 --> 00:24:59,220
+there is a parallel with it, anterior principal
+
+318
+00:24:59,220 --> 00:25:04,480
+planeand posterior principal plane, while when we
+
+319
+00:25:04,480 --> 00:25:07,360
+talk about nodal points, there is no such thing as
+
+320
+00:25:07,360 --> 00:25:11,080
+nodal plane, there is no such thing in optics or
+
+321
+00:25:11,080 --> 00:25:18,560
+geometric optics as nodal plane or anterior or
+
+322
+00:25:18,560 --> 00:25:22,070
+posterior nodal planenodal points, فقط nodal
+
+323
+00:25:22,070 --> 00:25:24,910
+points بدون planes, بجيتي ال points اللي .. ال
+
+324
+00:25:24,910 --> 00:25:29,290
+principle و ال focal الها planes و عند هذه النقطة
+
+325
+00:25:29,290 --> 00:25:33,850
+احنا بنتوقف و يعطيكم العافية و السلام عليكم و رحمة
+
+326
+00:25:33,850 --> 00:25:35,050
+الله و بركة
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mB4vkwUFOkw_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mB4vkwUFOkw_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f39bc2ed765d376e3d4163af1a70a7f2fd7bba70
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mB4vkwUFOkw_raw.srt
@@ -0,0 +1,336 @@
+1
+00:00:01,670 --> 00:00:02,950
+In the name of God, Most Gracious, Most Merciful.
+
+2
+00:00:03,570 --> 00:00:06,310
+We have a question about the thin lens equation.
+
+3
+00:00:06,990 --> 00:00:12,390
+This question is given in the Geometric Optics
+
+4
+00:00:12,390 --> 00:00:17,110
+course. We say that the power of a thin lens is 5
+
+5
+00:00:17,110 --> 00:00:20,500
+diopters.in front of it there is water, the
+
+6
+00:00:20,500 --> 00:00:24,840
+refractive index of water is 31.33% and behind the
+
+7
+00:00:24,840 --> 00:00:28,080
+lens there is air, which is equal to 1, the
+
+8
+00:00:28,080 --> 00:00:31,140
+refractive index of air. The object present in the
+
+9
+00:00:31,140 --> 00:00:34,360
+water is 33 cm in diameter. Two things are
+
+10
+00:00:34,360 --> 00:00:37,130
+required. Where is the image?And what is
+
+11
+00:00:37,130 --> 00:00:40,530
+Transphase Magnification? So we say that in order
+
+12
+00:00:40,530 --> 00:00:43,570
+to get the image, the first thing we want to see
+
+13
+00:00:43,570 --> 00:00:47,270
+is the light that came from the object, of course,
+
+14
+00:00:47,370 --> 00:00:49,650
+it will come as a divergence, it will reach the
+
+15
+00:00:49,650 --> 00:00:51,950
+produced vergence on the front surface of the
+
+16
+00:00:51,950 --> 00:00:57,130
+lens, which is U, which is negative N over O
+
+17
+00:00:59,940 --> 00:01:01,420
+Of course, why it's missing? Because it's a
+
+18
+00:01:01,420 --> 00:01:03,660
+divergent trail. The light that comes out of any
+
+19
+00:01:03,660 --> 00:01:07,520
+real object is a divergent trail. It's equal to or
+
+20
+00:01:07,520 --> 00:01:12,140
+minus. We used to say 1 over O, minus 1. But here,
+
+21
+00:01:12,220 --> 00:01:14,380
+the object in the water, we use the refractive
+
+22
+00:01:14,380 --> 00:01:23,370
+index, which is minus 1.33 which is 33 out of 100
+
+23
+00:01:23,370 --> 00:01:28,250
+meters which is the distance O which is 33 out of
+
+24
+00:01:28,250 --> 00:01:30,630
+100 meters of course all the measurements will be
+
+25
+00:01:30,630 --> 00:01:36,990
+in meters when we multiply 1 and 33 by 33 out of
+
+26
+00:01:36,990 --> 00:01:40,470
+100 meters let's write it here to make it clear
+
+27
+00:01:40,470 --> 00:01:42,950
+minus
+
+28
+00:01:45,720 --> 00:01:51,420
+because minus over plus minus, minus four, four,
+
+29
+00:01:51,700 --> 00:01:53,960
+and the meter in the station, when it goes up, it
+
+30
+00:01:53,960 --> 00:01:56,460
+becomes meter minus one, which is minus four
+
+31
+00:01:56,460 --> 00:02:05,840
+diopters. The best is to write minus four diopters
+
+32
+00:02:05,840 --> 00:02:08,730
+on the front of the lensوكأنني بقول .. ليش عند
+
+33
+00:02:08,730 --> 00:02:12,090
+السطح الأمامي؟ وكأنني بقول الضوء إجا بتشتت مقداره
+
+34
+00:02:12,090 --> 00:02:17,510
+minus 4 diopter، الآن العدسة بنقولها إيش بدك تعملي
+
+35
+00:02:17,510 --> 00:02:23,080
+مع الضوء وصل لسطحك بتشتت مقداره 4You will say, I
+
+36
+00:02:23,080 --> 00:02:25,300
+will try to cancel the oscillation, the
+
+37
+00:02:25,300 --> 00:02:30,900
+oscillation is minus 4, it needs a force plus 4 to
+
+38
+00:02:30,900 --> 00:02:34,660
+cancel it, so when the lens has a force plus 5, it
+
+39
+00:02:34,660 --> 00:02:41,210
+will consume on the front surfaceThe front power
+
+40
+00:02:41,210 --> 00:02:43,350
+of the lens will be the force of the front surface
+
+41
+00:02:43,350 --> 00:02:51,650
+plus 4 to make the distortion go away.
+
+42
+00:02:52,510 --> 00:02:58,710
+The force of the back surface is equal to V which
+
+43
+00:02:58,710 --> 00:03:04,850
+is the reduced image divergence. We say U plus P
+
+44
+00:03:04,850 --> 00:03:07,710
+is equal to V.
+
+45
+00:03:10,820 --> 00:03:17,880
+إذن الـU عندي minus 4 diopter و ال power عندي plus
+
+46
+00:03:17,880 --> 00:03:24,000
+5 diopter يساوي
+
+47
+00:03:24,000 --> 00:03:35,700
+ال V إذن ال V تساوي ال V تساوي plus 1 diopter
+
+48
+00:03:37,820 --> 00:03:42,100
+As soon as I put the V on the back surface, it's
+
+49
+00:03:42,100 --> 00:03:49,200
+as if we say that
+
+50
+00:03:49,200 --> 00:03:56,740
+as soon as the lens receives the lightالمتشتت
+
+51
+00:03:56,740 --> 00:04:01,760
+استهلك من قوتها عشان تصفر تشتت واستهلك أربعة
+
+52
+00:04:01,760 --> 00:04:07,160
+ديوبتر وضال عندها plus واحد ديوبتر يعني ما تبقى من
+
+53
+00:04:07,160 --> 00:04:11,160
+الحالة التشتتية للضوء ما حالة الضوء التشتتية بعد
+
+54
+00:04:11,160 --> 00:04:15,460
+أن غادر العدسة بيقول حالته plus واحد يعني متجمع
+
+55
+00:04:15,460 --> 00:04:20,240
+بمقدار plus واحد ديوبتر طالما متجمع في طريقه أنه
+
+56
+00:04:20,240 --> 00:04:24,240
+يكون صورة على مسافة ماeither this picture is on
+
+57
+00:04:24,240 --> 00:04:29,300
+any dimension, we say v is equal to unconditional
+
+58
+00:04:29,300 --> 00:04:37,900
+on i and it is equal to or not equal, we say as
+
+59
+00:04:37,900 --> 00:04:45,220
+follows we go back to I small we say I is equal to
+
+60
+00:04:45,220 --> 00:04:48,920
+unconditional on v we change the place together
+
+61
+00:04:48,920 --> 00:04:53,850
+and it is equal tounconditional which is one
+
+62
+00:04:53,850 --> 00:04:56,950
+because we are in the air here the place is air
+
+63
+00:04:56,950 --> 00:04:58,850
+which is where the picture is formed and it is
+
+64
+00:04:58,850 --> 00:05:05,790
+equal to one over plus one diopter and
+
+65
+00:05:05,790 --> 00:05:09,330
+it is equal to one over plus one which is plus one
+
+66
+00:05:09,330 --> 00:05:11,730
+and the diopter which is one meter minus one in
+
+67
+00:05:11,730 --> 00:05:13,470
+this place when it comes out it becomes one meter
+
+68
+00:05:13,470 --> 00:05:16,190
+so the picture is formed on a distance of one
+
+69
+00:05:16,190 --> 00:05:16,330
+meter
+
+70
+00:05:19,630 --> 00:05:21,570
+on the right of the lens as long as it is in place
+
+71
+00:05:21,570 --> 00:05:23,890
+then the distance is on the right of the lens so
+
+72
+00:05:23,890 --> 00:05:30,230
+this is for which is
+
+73
+00:05:30,230 --> 00:05:37,370
+for
+
+74
+00:05:37,370 --> 00:05:41,990
+the image distance or image location now let's see
+
+75
+00:05:41,990 --> 00:05:44,010
+for the transphase magnification for the
+
+76
+00:05:44,010 --> 00:05:47,450
+transphase magnification enlarge it a little bit
+
+77
+00:05:59,270 --> 00:06:04,910
+transfers magnification is equal to U over V
+
+78
+00:06:08,680 --> 00:06:11,020
+When I want to say u over v, I immediately look at
+
+79
+00:06:11,020 --> 00:06:13,520
+the front surface and the back surface The front
+
+80
+00:06:13,520 --> 00:06:16,000
+surface is u and the back surface is v and it is
+
+81
+00:06:16,000 --> 00:06:22,180
+equal to minus four diopters over plus one
+
+82
+00:06:22,180 --> 00:06:29,960
+diopters and it is equal to minus over plus x
+
+83
+00:06:29,960 --> 00:06:37,340
+squared minus and four over one is four And the
+
+84
+00:06:37,340 --> 00:06:39,940
+diopter goes to the diopter, so x minus four
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mPvDdKlEam4.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mPvDdKlEam4.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0c870e76f766105a46282b43cd6d536c472152c3
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mPvDdKlEam4.srt
@@ -0,0 +1,301 @@
+
+1
+00:00:01,470 --> 00:00:08,190
+بسم الله الرحمن الرحيم السؤال ما علاقة ما علاقة ال
+
+2
+00:00:08,190 --> 00:00:12,590
+refractive index ال refractive index n للمادة
+
+3
+00:00:12,590 --> 00:00:20,800
+بالطول الموجود احنا الان بستعمل أشعة which is the
+
+4
+00:00:20,800 --> 00:00:23,960
+shortest type of optical rays shortest type of
+
+5
+00:00:23,960 --> 00:00:29,680
+optical rays which is the shortest
+
+6
+00:00:29,680 --> 00:00:30,780
+type of optical rays shortest type of optical rays
+
+7
+00:00:30,780 --> 00:00:31,220
+optical rays shortest type of optical rays
+
+8
+00:00:31,220 --> 00:00:31,240
+optical rays shortest type of optical rays
+
+9
+00:00:31,240 --> 00:00:31,280
+optical rays shortest type of optical rays
+
+10
+00:00:31,280 --> 00:00:31,860
+shortest type of optical rays shortest type of
+
+11
+00:00:31,860 --> 00:00:31,900
+shortest type of optical rays shortest type of
+
+12
+00:00:31,900 --> 00:00:32,140
+shortest type of optical rays shortest type of
+
+13
+00:00:32,140 --> 00:00:32,660
+shortest type of optical rays shortest type of
+
+14
+00:00:32,660 --> 00:00:34,040
+optical rays shortest type of optical rays
+
+15
+00:00:34,040 --> 00:00:35,780
+shortest type of optical rays shortest type of
+
+16
+00:00:35,780 --> 00:00:35,820
+optical rays shortest type of optical rays
+
+17
+00:00:35,820 --> 00:00:36,920
+shortest type of optical rays shortest type of
+
+18
+00:00:36,920 --> 00:00:40,860
+optical rays shortest type of optical rays
+
+19
+00:00:40,860 --> 00:00:45,840
+shortest type ofwe want to increase the wave
+
+20
+00:00:45,840 --> 00:00:51,380
+length, the wave length is 380nm and the
+
+21
+00:00:51,380 --> 00:00:56,760
+refractive index is 1.345 now we want to increase
+
+22
+00:00:56,760 --> 00:00:58,980
+the wave length and see what happens in the
+
+23
+00:00:58,980 --> 00:01:01,960
+refractive index, the more we increase the wave
+
+24
+00:01:01,960 --> 00:01:05,340
+length, the more the refractive index decreases
+
+25
+00:01:07,800 --> 00:01:09,660
+refractive index, which is the factors of
+
+26
+00:01:09,660 --> 00:01:14,040
+contraction, it's going up and down, okay? So, all
+
+27
+00:01:14,040 --> 00:01:16,780
+of us have an opposite relationship between the
+
+28
+00:01:16,780 --> 00:01:20,200
+wavelength of light and the refractive index,
+
+29
+00:01:20,320 --> 00:01:23,420
+which is the factors of contraction of water to
+
+30
+00:01:23,420 --> 00:01:27,000
+light. It varies whether the light is a red
+
+31
+00:01:27,000 --> 00:01:32,540
+wavelength or a green wavelength or aThe shorter
+
+32
+00:01:32,540 --> 00:01:35,620
+the wavelength is, the higher the refractive index
+
+33
+00:01:35,620 --> 00:01:42,600
+is. In this case, the wavelength is 380
+
+34
+00:01:42,600 --> 00:01:46,840
+nanometers, which is 1.345 nanometers, which is
+
+35
+00:01:46,840 --> 00:01:49,380
+the highest refractive index for water, for these
+
+36
+00:01:49,380 --> 00:01:53,240
+rays. Now, when we increase the wavelength, the
+
+37
+00:01:53,240 --> 00:01:56,800
+refractive index decreases by 1.3333 nanometers.
+
+38
+00:01:57,380 --> 00:02:01,080
+Therefore, the longer the wavelength is,It reduces
+
+39
+00:02:01,080 --> 00:02:04,900
+the refractive index of the same substance. Of
+
+40
+00:02:04,900 --> 00:02:10,100
+course, the refractive index of water is
+
+41
+00:02:10,100 --> 00:02:16,440
+less than that of the red wave. In the same
+
+42
+00:02:16,440 --> 00:02:19,060
+substance, nothing has changed for the substance.
+
+43
+00:02:19,200 --> 00:02:21,240
+The composition of the substance is the same, but
+
+44
+00:02:21,240 --> 00:02:24,820
+the refractive index of lightFor water, it differs
+
+45
+00:02:24,820 --> 00:02:28,400
+whether the wave length is long, the coefficient
+
+46
+00:02:28,400 --> 00:02:30,660
+of contraction is less. If the wave length is
+
+47
+00:02:30,660 --> 00:02:33,120
+short, the coefficient of contraction is greater.
+
+48
+00:02:33,120 --> 00:02:35,680
+So there is an opposite relationship between the
+
+49
+00:02:35,680 --> 00:02:38,160
+wave length of the current light in the substance
+
+50
+00:02:38,160 --> 00:02:42,900
+and the coefficient of contraction of the
+
+51
+00:02:42,900 --> 00:02:46,520
+substance to this wave length. The more the wave
+
+52
+00:02:46,520 --> 00:02:47,460
+length increases, the less the coefficient of
+
+53
+00:02:47,460 --> 00:02:51,660
+contraction. The shorter the wave length, the more
+
+54
+00:02:51,660 --> 00:02:53,720
+the coefficient of contraction increases.Okay, we
+
+55
+00:02:53,720 --> 00:02:57,340
+want to give an example of another material like
+
+56
+00:02:57,340 --> 00:03:03,880
+glass We are now in the middle of glass Glass has
+
+57
+00:03:03,880 --> 00:03:05,580
+a contraction factor for the length of the wave
+
+58
+00:03:05,580 --> 00:03:11,480
+which is approximately 1.5 or 1.499 Now, when we
+
+59
+00:03:11,480 --> 00:03:16,000
+reduce the length of the wave, the contraction
+
+60
+00:03:16,000 --> 00:03:17,700
+factor increases The contraction factor increases,
+
+61
+00:03:18,060 --> 00:03:23,860
+it can reach 1.51So, the shorter the wavelength,
+
+62
+00:03:25,020 --> 00:03:27,840
+the higher the coefficient of deflectionThe longer
+
+63
+00:03:27,840 --> 00:03:30,960
+the wavelength is, the lower the coefficient of
+
+64
+00:03:30,960 --> 00:03:36,240
+contraction. The longer the wavelength is, the
+
+65
+00:03:36,240 --> 00:03:39,080
+lower the coefficient of contraction of the same
+
+66
+00:03:39,080 --> 00:03:42,460
+material to that wavelength. So there is an
+
+67
+00:03:42,460 --> 00:03:44,060
+opposite relationship. We can say, what do we get
+
+68
+00:03:44,060 --> 00:03:48,600
+from this case? We get from this case that if the
+
+69
+00:03:48,600 --> 00:03:51,720
+light of multiple colors falls, or multiple waves,
+
+70
+00:03:51,900 --> 00:03:55,490
+that is, the white light, it will beانقسار الضوء
+
+71
+00:03:55,490 --> 00:04:01,190
+الأزرق أكتر من انقسار الضوء الأحمر، انقسار الضوء
+
+72
+00:04:01,190 --> 00:04:04,930
+الأزرق أكتر من انقسار الضوء الأحمر، و هذا هيتم
+
+73
+00:04:04,930 --> 00:04:09,070
+شرحه ان شاء الله تعالى في موضوع التشتت اللوني أو
+
+74
+00:04:09,070 --> 00:04:12,070
+ال chromatic dispersion، يعطيكم العافية والسلام
+
+75
+00:04:12,070 --> 00:04:14,150
+عليكم ورحمة الله وبركة
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mVao-lGWsuM.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mVao-lGWsuM.srt
new file mode 100644
index 0000000000000000000000000000000000000000..819c7a56c69c19392e0a120afdc26f5e3f40f615
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mVao-lGWsuM.srt
@@ -0,0 +1,765 @@
+
+1
+00:00:01,850 --> 00:00:08,330
+بسم الله الرحمن الرحيم بسم
+
+2
+00:00:08,330 --> 00:00:12,970
+الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله
+
+3
+00:00:12,970 --> 00:00:13,050
+الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله
+
+4
+00:00:13,050 --> 00:00:13,070
+الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله
+
+5
+00:00:13,070 --> 00:00:13,090
+الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله
+
+6
+00:00:13,090 --> 00:00:18,210
+الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله
+
+7
+00:00:18,210 --> 00:00:23,970
+الرحمن الرحيم بسم الله الله
+
+8
+00:00:27,390 --> 00:00:30,770
+we deal with each lens one by one with each lens
+
+9
+00:00:30,770 --> 00:00:35,250
+one by one of course it is preferable if we hide
+
+10
+00:00:35,250 --> 00:00:45,810
+the lens number two on the basis that we can work
+
+11
+00:00:45,810 --> 00:00:51,450
+comfortably comfortably here
+
+12
+00:00:51,450 --> 00:00:55,390
+we hide the lens number two we say we have a plus
+
+13
+00:00:55,390 --> 00:00:59,240
+lens 7 diopter and on the distance from it on the
+
+14
+00:00:59,240 --> 00:01:02,920
+left 50 cm object wherever the point is wherever
+
+15
+00:01:02,920 --> 00:01:07,920
+the point is we say u is equal to negative n over
+
+16
+00:01:07,920 --> 00:01:12,740
+o and
+
+17
+00:01:12,740 --> 00:01:18,060
+is equal to negative 1 over 50 cm which is half a
+
+18
+00:01:18,060 --> 00:01:24,220
+meter and is equal to negative 2 diopter negative
+
+19
+00:01:24,220 --> 00:01:25,200
+2 diopter
+
+20
+00:01:28,370 --> 00:01:32,210
+So, the amplitude of the light when it reaches the
+
+21
+00:01:32,210 --> 00:01:34,950
+surface of the front lens is less than 2 diopters
+
+22
+00:01:34,950 --> 00:01:42,270
+On the
+
+23
+00:01:42,270 --> 00:01:44,590
+front lens surface, I put that the light reaches
+
+24
+00:01:44,590 --> 00:01:50,730
+with an amplitude of 2 diopters Now, let's see how
+
+25
+00:01:50,730 --> 00:02:00,500
+much the amplitude will be U plus P is equal to VU
+
+26
+00:02:00,500 --> 00:02:04,340
+which is minus 2 diopter and power which is plus 7
+
+27
+00:02:04,340 --> 00:02:12,480
+diopter which is equal to V so V is equal to
+
+28
+00:02:12,480 --> 00:02:16,200
+plus 5 diopter so the light will come out in
+
+29
+00:02:16,200 --> 00:02:22,220
+groups of 5 diopter plus which means that the
+
+30
+00:02:22,220 --> 00:02:25,980
+light will come out in groups as long as it will
+
+31
+00:02:25,980 --> 00:02:26,760
+come out in groups
+
+32
+00:02:31,910 --> 00:02:39,130
+It means that it will create a real image And
+
+33
+00:02:39,130 --> 00:02:42,770
+therefore,
+
+34
+00:02:42,950 --> 00:02:44,590
+we need to know the location of the image The
+
+35
+00:02:44,590 --> 00:02:50,770
+image is Uncharted on V It
+
+36
+00:02:50,770 --> 00:02:55,370
+is equal to 1 which is Uncharted on V plus 5
+
+37
+00:02:55,370 --> 00:03:02,520
+diopter and it's equal to 2 out of 10 meters plus 2
+
+38
+00:03:02,520 --> 00:03:04,820
+out of 10 plus means the image on the right of the
+
+39
+00:03:04,820 --> 00:03:12,520
+lens to plus plus 2 out of 10 meters means
+
+40
+00:03:12,520 --> 00:03:17,280
+plus 20 centimeters plus 20 centimeters to the
+
+41
+00:03:17,280 --> 00:03:22,260
+right of the lens to plus now we want to get the
+
+42
+00:03:22,260 --> 00:03:24,680
+transverse magnification but before we get the
+
+43
+00:03:24,680 --> 00:03:29,750
+transverse magnification of course here the V, why
+
+44
+00:03:29,750 --> 00:03:33,250
+did you look at it? because T is 5 and here the
+
+45
+00:03:33,250 --> 00:03:38,830
+image is 20
+
+46
+00:03:38,830 --> 00:03:44,550
+cm we want to move this square away to close the
+
+47
+00:03:44,550 --> 00:03:48,930
+second lens and see where is 20 cm on the right of
+
+48
+00:03:48,930 --> 00:03:51,470
+the plus lens is 20 cm, the distance between the
+
+49
+00:03:51,470 --> 00:03:54,170
+two lenses is 10 cm, so the image will come here
+
+50
+00:03:55,050 --> 00:03:59,110
+بعيدة عشرين سانتي عن العدسة رقم واحد اللي هي
+
+51
+00:03:59,110 --> 00:04:04,090
+العدسة الأولى بعيدة عشر سانتي
+
+52
+00:04:22,070 --> 00:04:27,110
+So this image is 20 cm away from the plus lens, so
+
+53
+00:04:27,110 --> 00:04:37,630
+it is 10 cm away from the minus lens Now we bring
+
+54
+00:04:37,630 --> 00:04:39,290
+the transfer magnification,
+
+55
+00:04:41,790 --> 00:04:46,330
+we still need to
+
+56
+00:04:46,330 --> 00:04:50,470
+bring DM1, we are still dealing with the first
+
+57
+00:04:50,470 --> 00:05:01,350
+lens then we get TM1 which
+
+58
+00:05:01,350 --> 00:05:09,790
+is equal to U over V which is equal to U minus two
+
+59
+00:05:09,790 --> 00:05:13,870
+diopter and V plus five diopter minus two diopter
+
+60
+00:05:13,870 --> 00:05:23,700
+over plus five diopter which is equal to x minus 4
+
+61
+00:05:23,700 --> 00:05:28,000
+out of 10 what does x minus 4 out of 10 mean? it
+
+62
+00:05:28,000 --> 00:05:31,940
+means the picture is upside down and four tenths
+
+63
+00:05:31,940 --> 00:05:38,560
+of the object four tenths of the
+
+64
+00:05:38,560 --> 00:05:42,120
+object this was the transference magnification of
+
+65
+00:05:42,120 --> 00:05:47,620
+the first lens now we hide the first lens we move
+
+66
+00:05:47,620 --> 00:05:50,080
+on to dealing with the other lens we move on to
+
+67
+00:05:50,080 --> 00:05:53,260
+dealing with the other lens we say this is the
+
+68
+00:05:53,260 --> 00:05:55,320
+object of the other lens which is the image of the
+
+69
+00:05:55,320 --> 00:05:58,640
+first lens but it is on its right which means that
+
+70
+00:05:58,640 --> 00:06:01,380
+the rays before they go and form this image which
+
+71
+00:06:01,380 --> 00:06:03,640
+is the object of the other lens will collide in
+
+72
+00:06:03,640 --> 00:06:07,280
+the minus lens which is convergent which means
+
+73
+00:06:07,280 --> 00:06:13,120
+virtual object virtual object so this speech we
+
+74
+00:06:13,120 --> 00:06:18,400
+want to see what it wants to do is a virtual object
+
+75
+00:06:18,400 --> 00:06:32,040
+we
+
+76
+00:06:32,040 --> 00:06:32,620
+say you
+
+77
+00:06:37,820 --> 00:06:40,680
+the light will reach the surface of the negative
+
+78
+00:06:40,680 --> 00:06:44,400
+lens plus N over O why plus? because the light is
+
+79
+00:06:44,400 --> 00:06:47,100
+going to form the first image and hit the second
+
+80
+00:06:47,100 --> 00:06:50,780
+lens so it is a virtual object U equals plus N
+
+81
+00:06:50,780 --> 00:06:56,920
+over O equals plus one over O which is ten
+
+82
+00:06:56,920 --> 00:06:59,500
+centimeters which is the object which is the first
+
+83
+00:06:59,500 --> 00:07:01,640
+image of the lens which is the object of the
+
+84
+00:07:01,640 --> 00:07:04,020
+second lens which is ten centimeters away from it
+
+85
+00:07:06,800 --> 00:07:12,100
+It is equal to plus ten diopters. So,
+
+86
+00:07:16,860 --> 00:07:22,360
+the light will reach a frequency of plus ten
+
+87
+00:07:22,360 --> 00:07:28,880
+diopters. Plus ten diopters on the front surface
+
+88
+00:07:28,880 --> 00:07:33,100
+of the minus lens. It will reach a frequency of
+
+89
+00:07:33,100 --> 00:07:35,660
+plus ten diopters. How much frequency will it
+
+90
+00:07:35,660 --> 00:07:45,770
+reach? we say u plus p equals v u plus ten this is
+
+91
+00:07:45,770 --> 00:07:54,790
+greater power minus five this is greater minus
+
+92
+00:07:54,790 --> 00:08:00,570
+five this is greater distance minus five this is
+
+93
+00:08:00,570 --> 00:08:10,850
+greater Minus is equal to V So, V is equal to plus
+
+94
+00:08:10,850 --> 00:08:16,030
+five diopters I
+
+95
+00:08:16,030 --> 00:08:21,110
+Let's enlarge the line a little bit because we
+
+96
+00:08:21,110 --> 00:08:28,610
+tried to finish it And U and V will give them
+
+97
+00:08:28,610 --> 00:08:28,810
+color
+
+98
+00:08:38,670 --> 00:08:41,830
+So, the light reached with plus 10 diopters and
+
+99
+00:08:41,830 --> 00:08:46,590
+went out with plus 5 diopters As long as it has a
+
+100
+00:08:46,590 --> 00:08:50,190
+plus output, it is also convergent and it will
+
+101
+00:08:50,190 --> 00:08:57,330
+make a real image Real image where it is I is
+
+102
+00:08:57,330 --> 00:09:03,890
+equal to condition on V and it is equal to let's
+
+103
+00:09:03,890 --> 00:09:04,450
+continue with
+
+104
+00:09:13,300 --> 00:09:26,920
+ويساوي 1 على plus 1 على plus 5 diopter ويساوي plus
+
+105
+00:09:26,920 --> 00:09:37,030
+2 من 10 متر ويساوي plus 20 cm then the image will
+
+106
+00:09:37,030 --> 00:09:38,690
+be on the right side of the lens which is minus
+
+107
+00:09:38,690 --> 00:09:56,990
+20cm then we
+
+108
+00:09:56,990 --> 00:10:00,650
+come to the transphase magnification which is
+
+109
+00:10:00,650 --> 00:10:05,230
+equal to The image of this lens is 20 cm on its
+
+110
+00:10:05,230 --> 00:10:23,950
+right Real image is 20
+
+111
+00:10:23,950 --> 00:10:29,630
+cm away from the negative lens Here is the
+
+112
+00:10:29,630 --> 00:10:30,030
+distance
+
+113
+00:10:33,110 --> 00:10:36,730
+10 cm and the distance between the body and its
+
+114
+00:10:36,730 --> 00:10:39,750
+image is 10 cm this is the body of the minus lens
+
+115
+00:10:39,750 --> 00:10:43,730
+and this is the image of the minus lens the image
+
+116
+00:10:43,730 --> 00:10:47,930
+is 20 cm let's give it the same color
+
+117
+00:10:57,160 --> 00:10:59,580
+of the minus lens because it's the image of the
+
+118
+00:10:59,580 --> 00:11:01,560
+minus lens this is the image of the plus lens
+
+119
+00:11:01,560 --> 00:11:04,520
+which is the body of the minus lens now we don't
+
+120
+00:11:04,520 --> 00:11:08,160
+have anything in this square the example is
+
+121
+00:11:08,160 --> 00:11:14,420
+complete but I still have to get the TM2 equals U
+
+122
+00:11:14,420 --> 00:11:19,400
+over V equals
+
+123
+00:11:19,400 --> 00:11:25,240
+plus ten diopters here we didn't write how much V
+
+124
+00:11:25,240 --> 00:11:34,500
+is V plus 5 diopter V plus 5 diopter means that
+
+125
+00:11:34,500 --> 00:11:36,300
+the refractive field produced by the light from
+
+126
+00:11:36,300 --> 00:11:47,200
+the lens is minus U
+
+127
+00:11:47,200 --> 00:11:53,180
+over V equals plus 10 diopter over plus 5 diopter
+
+128
+00:11:54,350 --> 00:12:01,730
+and it's equal to x plus 2 x
+
+129
+00:12:01,730 --> 00:12:06,490
+plus 2 let's
+
+130
+00:12:06,490 --> 00:12:12,730
+see the Tm total it's
+
+131
+00:12:12,730 --> 00:12:17,230
+equal to Tm 1 times Tm 2 which is minus four out
+
+132
+00:12:17,230 --> 00:12:23,230
+of ten times plus
+
+133
+00:12:23,230 --> 00:12:37,920
+two and it equals x
+
+134
+00:12:37,920 --> 00:12:45,440
+minus because minus in plus is minus eight out of
+
+135
+00:12:45,440 --> 00:12:50,460
+ten eight out of ten so this picture at a distance
+
+136
+00:12:50,460 --> 00:12:52,680
+of twenty centimeters to the right
+
+137
+00:12:56,200 --> 00:13:08,740
+هذه أنا عندي TM2 وهذه
+
+138
+00:13:08,740 --> 00:13:11,360
+أنا عندي ال TM Total
+
+139
+00:13:21,750 --> 00:13:23,490
+That's how the example was completed. That's how
+
+140
+00:13:23,490 --> 00:13:26,090
+the example was completed. What does TM total
+
+141
+00:13:26,090 --> 00:13:28,310
+minus eight out of ten mean? It means that the
+
+142
+00:13:28,310 --> 00:13:31,570
+final picture, which is this one, is inverted
+
+143
+00:13:31,570 --> 00:13:37,290
+relative to the original body and eight out of ten
+
+144
+00:13:37,290 --> 00:13:39,290
+height relative to it. That is, if it is ten
+
+145
+00:13:39,290 --> 00:13:41,510
+centimeters long or high, it will be eight
+
+146
+00:13:41,510 --> 00:13:47,290
+centimeters. طيب، الان TM2 X plus 2 يعني الصورة
+
+147
+00:13:47,290 --> 00:13:51,050
+معتادلة بالنسبة لجسمها، هاي جسمها و هي زيه في نفس
+
+148
+00:13:51,050 --> 00:13:57,650
+الاتجاه معتادلة و ضعفينه في الارتفاع، اذا كان هو
+
+149
+00:13:57,650 --> 00:14:00,690
+عشرة صنطي، هو عشرين صنطي، اذا هي عشرة صنطي، هو
+
+150
+00:14:00,690 --> 00:14:04,260
+خمسة صنطي So this is the example. Now there are
+
+151
+00:14:04,260 --> 00:14:07,180
+some interpretations of this example. There may be
+
+152
+00:14:07,180 --> 00:14:09,500
+a question right or wrong that says, is it
+
+153
+00:14:09,500 --> 00:14:12,540
+possible for the minus lens to form a real image?
+
+154
+00:14:13,650 --> 00:14:17,510
+الكلام صحيح، هاي real image لعدسة minus، إمتى
+
+155
+00:14:17,510 --> 00:14:20,890
+بتكون العدسة ال minus real image؟ يعني الإجابة
+
+156
+00:14:20,890 --> 00:14:26,590
+true، can minus lens produce real image? نعم، إذا
+
+157
+00:14:26,590 --> 00:14:30,070
+كان ال object virtual، إذا كان ال object virtual،
+
+158
+00:14:30,070 --> 00:14:32,650
+كيف عرفنا ال object virtual؟ أشعة اللي جاية في
+
+159
+00:14:32,650 --> 00:14:36,890
+العدسة ال minus جاية conversion، فش object حقيقي
+
+160
+00:14:36,890 --> 00:14:39,250
+بيعطي conversion light، دايما ال real object
+
+161
+00:14:39,250 --> 00:14:44,310
+divergence light بتطلع منه So the minus lens can be
+
+162
+00:14:44,310 --> 00:14:50,100
+formed real image if the object is virtual if the
+
+163
+00:14:50,100 --> 00:14:53,160
+object is virtual and the amount of oscillation or
+
+164
+00:14:53,160 --> 00:14:55,800
+accumulation in terms of oscillation that comes to
+
+165
+00:14:55,800 --> 00:14:59,860
+the lens the minus is stronger than its minus
+
+166
+00:14:59,860 --> 00:15:02,960
+stronger than its minus power that is, here the
+
+167
+00:15:02,960 --> 00:15:06,240
+accumulation is plus ten it is minus five, so it
+
+168
+00:15:06,240 --> 00:15:08,540
+is stronger than it the light remained accumulated
+
+169
+00:15:08,540 --> 00:15:11,880
+in the amount of five, so it will be formed in my
+
+170
+00:15:11,880 --> 00:15:17,500
+real image But is it possible for the minus lens to
+
+171
+00:15:17,500 --> 00:15:20,980
+form a real image for a real object? The answer is
+
+172
+00:15:20,980 --> 00:15:23,920
+wrong It's not possible at all because the real
+
+173
+00:15:23,920 --> 00:15:27,780
+object will have a different beam from it, the
+
+174
+00:15:27,780 --> 00:15:32,140
+real object So it will be the U with the minus and
+
+175
+00:15:32,140 --> 00:15:34,820
+the minus lens will always add to the minus and
+
+176
+00:15:34,820 --> 00:15:38,800
+the V will come out with the minus So the minus
+
+177
+00:15:38,800 --> 00:15:43,360
+lens is possible sometimes, sometimes, not all the
+
+178
+00:15:43,360 --> 00:15:49,430
+time It's a real image for a virtual object But
+
+179
+00:15:49,430 --> 00:15:52,150
+it's impossible for a digital lens to form a real
+
+180
+00:15:52,150 --> 00:15:55,050
+image for a real object Real image for a real
+
+181
+00:15:55,050 --> 00:15:58,670
+object, there's no possibility Okay, I have a
+
+182
+00:15:58,670 --> 00:16:03,700
+virtual object But the minus lens is not able to
+
+183
+00:16:03,700 --> 00:16:06,580
+create a real image, which means that this virtual
+
+184
+00:16:06,580 --> 00:16:09,420
+object came with a collection less than its power,
+
+185
+00:16:09,580 --> 00:16:12,500
+plus three for example, and here I have minus
+
+186
+00:16:12,500 --> 00:16:15,840
+five, the result will be minus two, so the picture
+
+187
+00:16:15,840 --> 00:16:20,880
+will also be virtual عشان نلخص الكلام هذا في بعض
+
+188
+00:16:20,880 --> 00:16:25,800
+الأحيان ال minus lens sometimes can form real ..
+
+189
+00:16:25,800 --> 00:16:30,660
+sometimes not all the times .. sometimes can form
+
+190
+00:16:30,660 --> 00:16:36,840
+real image for virtual object, but cannot at all,
+
+191
+00:16:37,320 --> 00:16:42,420
+cannot at all form a real image for real object 
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mVao-lGWsuM_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mVao-lGWsuM_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..73f2913fea6bec55c00d2e4c12e5a3f9ff466ce0
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mVao-lGWsuM_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2397, "start": 1.85, "end": 23.97, "text": "بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم Allah Allah", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 4574, 4574], "avg_logprob": -0.1385276801634155, "compression_ratio": 13.529411764705882, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 1.85, "end": 2.13, "word": "بسم", "probability": 0.46807861328125}, {"start": 2.13, "end": 2.29, "word": " الله", "probability": 0.931640625}, {"start": 2.29, "end": 2.71, "word": " الرحمن", "probability": 0.8792317708333334}, {"start": 2.71, "end": 3.21, "word": " الرحيم", "probability": 0.9835611979166666}, {"start": 3.21, "end": 8.33, "word": " بسم", "probability": 0.511199951171875}, {"start": 8.33, "end": 10.51, "word": " الله", "probability": 0.927734375}, {"start": 10.51, "end": 11.77, "word": " الرحمن", "probability": 0.96044921875}, {"start": 11.77, "end": 11.77, "word": " الرحيم", "probability": 0.9894205729166666}, {"start": 11.77, "end": 12.15, "word": " بسم", "probability": 0.6085205078125}, {"start": 12.15, "end": 12.27, "word": " الله", "probability": 0.9423828125}, {"start": 12.27, "end": 12.27, "word": " الرحمن", "probability": 0.9778645833333334}, {"start": 12.27, "end": 12.97, "word": " الرحيم", "probability": 0.9890950520833334}, {"start": 12.97, "end": 12.97, "word": " بسم", "probability": 0.6295166015625}, {"start": 12.97, "end": 12.97, "word": " الله", "probability": 0.95458984375}, {"start": 12.97, "end": 12.97, "word": " الرحمن", "probability": 0.9903971354166666}, {"start": 12.97, "end": 13.01, "word": " الرحيم", "probability": 0.98828125}, {"start": 13.01, "end": 13.05, "word": " بسم", "probability": 0.6763916015625}, {"start": 13.05, "end": 13.05, "word": " الله", "probability": 0.95458984375}, {"start": 13.05, "end": 13.05, "word": " الرحمن", "probability": 0.9930013020833334}, {"start": 13.05, "end": 13.05, "word": " الرحيم", "probability": 0.9855143229166666}, {"start": 13.05, "end": 13.05, "word": " بسم", "probability": 0.75732421875}, {"start": 13.05, "end": 13.05, "word": " الله", "probability": 0.95166015625}, {"start": 13.05, "end": 13.05, "word": " الرحمن", "probability": 0.9934895833333334}, {"start": 13.05, "end": 13.05, "word": " الرحيم", "probability": 0.98291015625}, {"start": 13.05, "end": 13.07, "word": " بسم", "probability": 0.83642578125}, {"start": 13.07, "end": 13.07, "word": " الله", "probability": 0.9443359375}, {"start": 13.07, "end": 13.07, "word": " الرحمن", "probability": 0.9925130208333334}, {"start": 13.07, "end": 13.07, "word": " الرحيم", "probability": 0.98046875}, {"start": 13.07, "end": 13.07, "word": " بسم", "probability": 0.876953125}, {"start": 13.07, "end": 13.07, "word": " الله", "probability": 0.93603515625}, {"start": 13.07, "end": 13.07, "word": " الرحمن", "probability": 0.9915364583333334}, {"start": 13.07, "end": 13.07, "word": " الرحيم", "probability": 0.9791666666666666}, {"start": 13.07, "end": 13.07, "word": " بسم", "probability": 0.89794921875}, {"start": 13.07, "end": 13.07, "word": " الله", "probability": 0.92431640625}, {"start": 13.07, "end": 13.07, "word": " الرحمن", "probability": 0.9905598958333334}, {"start": 13.07, "end": 13.07, "word": " الرحيم", "probability": 0.9778645833333334}, {"start": 13.07, "end": 13.07, "word": " بسم", "probability": 0.90673828125}, {"start": 13.07, "end": 13.07, "word": " الله", "probability": 0.9140625}, {"start": 13.07, "end": 13.07, "word": " الرحمن", "probability": 0.9892578125}, {"start": 13.07, "end": 13.07, "word": " الرحيم", "probability": 0.9767252604166666}, {"start": 13.07, "end": 13.07, "word": " بسم", "probability": 0.91259765625}, {"start": 13.07, "end": 13.07, "word": " الله", "probability": 0.900390625}, {"start": 13.07, "end": 13.07, "word": " الرحمن", "probability": 0.9879557291666666}, {"start": 13.07, "end": 13.07, "word": " الرحيم", "probability": 0.9772135416666666}, {"start": 13.07, "end": 13.07, "word": " بسم", "probability": 0.919189453125}, {"start": 13.07, "end": 13.07, "word": " الله", "probability": 0.8603515625}, {"start": 13.07, "end": 13.07, "word": " الرحمن", "probability": 0.9866536458333334}, {"start": 13.07, "end": 13.07, "word": " الرحيم", "probability": 0.9781901041666666}, {"start": 13.07, "end": 13.07, "word": " بسم", "probability": 0.923095703125}, {"start": 13.07, "end": 13.07, "word": " الله", "probability": 0.81103515625}, {"start": 13.07, "end": 13.09, "word": " الرحمن", "probability": 0.9855143229166666}, {"start": 13.09, "end": 13.09, "word": " الرحيم", "probability": 0.9783528645833334}, {"start": 13.09, "end": 13.09, "word": " بسم", "probability": 0.92724609375}, {"start": 13.09, "end": 13.09, "word": " الله", "probability": 0.73583984375}, {"start": 13.09, "end": 13.09, "word": " الرحمن", "probability": 0.9842122395833334}, {"start": 13.09, "end": 13.09, "word": " الرحيم", "probability": 0.9788411458333334}, {"start": 13.09, "end": 14.89, "word": " بسم", "probability": 0.930419921875}, {"start": 14.89, "end": 14.91, "word": " الله", "probability": 0.55908203125}, {"start": 14.91, "end": 16.03, "word": " الرحمن", "probability": 0.9833984375}, {"start": 16.03, "end": 16.95, "word": " الرحيم", "probability": 0.9786783854166666}, {"start": 16.95, "end": 18.21, "word": " بسم", "probability": 0.933837890625}, {"start": 18.21, "end": 18.21, "word": " الله", "probability": 0.41357421875}, {"start": 18.21, "end": 20.81, "word": " الرحمن", "probability": 0.9827473958333334}, {"start": 20.81, "end": 22.35, "word": " الرحيم", "probability": 0.9778645833333334}, {"start": 22.35, "end": 23.21, "word": " بسم", "probability": 0.935546875}, {"start": 23.21, "end": 23.27, "word": " Allah", "probability": 0.69970703125}, {"start": 23.27, "end": 23.97, "word": " Allah", "probability": 0.261474609375}], "temperature": 1.0}, {"id": 2, "seek": 5539, "start": 27.39, "end": 55.39, "text": "we deal with each lens one by one with each lens one by one of course it is preferable if we hide the lens number two on the basis that we can work comfortably comfortably here we hide the lens number two we say we have a plus lens", "tokens": [826, 2028, 365, 1184, 6765, 472, 538, 472, 365, 1184, 6765, 472, 538, 472, 295, 1164, 309, 307, 4382, 712, 498, 321, 6479, 264, 6765, 1230, 732, 322, 264, 5143, 300, 321, 393, 589, 25101, 25101, 510, 321, 6479, 264, 6765, 1230, 732, 321, 584, 321, 362, 257, 1804, 6765], "avg_logprob": -0.4338235247368906, "compression_ratio": 1.8934426229508197, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 27.39, "end": 27.59, "word": "we", "probability": 0.1929931640625}, {"start": 27.59, "end": 27.97, "word": " deal", "probability": 0.432861328125}, {"start": 27.97, "end": 28.33, "word": " with", "probability": 0.888671875}, {"start": 28.33, "end": 28.67, "word": " each", "probability": 0.66845703125}, {"start": 28.67, "end": 29.09, "word": " lens", "probability": 0.69091796875}, {"start": 29.09, "end": 29.41, "word": " one", "probability": 0.285400390625}, {"start": 29.41, "end": 29.41, "word": " by", "probability": 0.9150390625}, {"start": 29.41, "end": 29.85, "word": " one", "probability": 0.93359375}, {"start": 29.85, "end": 30.13, "word": " with", "probability": 0.350830078125}, {"start": 30.13, "end": 30.39, "word": " each", "probability": 0.921875}, {"start": 30.39, "end": 30.77, "word": " lens", "probability": 0.88671875}, {"start": 30.77, "end": 31.05, "word": " one", "probability": 0.8046875}, {"start": 31.05, "end": 31.05, "word": " by", "probability": 0.96728515625}, {"start": 31.05, "end": 31.39, "word": " one", "probability": 0.93359375}, {"start": 31.39, "end": 31.95, "word": " of", "probability": 0.32177734375}, {"start": 31.95, "end": 32.07, "word": " course", "probability": 0.9365234375}, {"start": 32.07, "end": 32.21, "word": " it", "probability": 0.61279296875}, {"start": 32.21, "end": 32.25, "word": " is", "probability": 0.45849609375}, {"start": 32.25, "end": 32.75, "word": " preferable", "probability": 0.718505859375}, {"start": 32.75, "end": 33.07, "word": " if", "probability": 0.67041015625}, {"start": 33.07, "end": 35.25, "word": " we", "probability": 0.72705078125}, {"start": 35.25, "end": 35.25, "word": " hide", "probability": 0.75927734375}, {"start": 35.25, "end": 35.37, "word": " the", "probability": 0.340087890625}, {"start": 35.37, "end": 35.69, "word": " lens", "probability": 0.66796875}, {"start": 35.69, "end": 36.43, "word": " number", "probability": 0.67626953125}, {"start": 36.43, "end": 36.99, "word": " two", "probability": 0.58154296875}, {"start": 36.99, "end": 39.85, "word": " on", "probability": 0.463134765625}, {"start": 39.85, "end": 40.01, "word": " the", "probability": 0.6171875}, {"start": 40.01, "end": 40.37, "word": " basis", "probability": 0.8447265625}, {"start": 40.37, "end": 40.71, "word": " that", "probability": 0.625}, {"start": 40.71, "end": 40.85, "word": " we", "probability": 0.9443359375}, {"start": 40.85, "end": 41.37, "word": " can", "probability": 0.7802734375}, {"start": 41.37, "end": 45.81, "word": " work", "probability": 0.7158203125}, {"start": 45.81, "end": 46.65, "word": " comfortably", "probability": 0.42919921875}, {"start": 46.65, "end": 48.09, "word": " comfortably", "probability": 0.476318359375}, {"start": 48.09, "end": 51.45, "word": " here", "probability": 0.489013671875}, {"start": 51.45, "end": 51.73, "word": " we", "probability": 0.82568359375}, {"start": 51.73, "end": 52.01, "word": " hide", "probability": 0.40185546875}, {"start": 52.01, "end": 52.27, "word": " the", "probability": 0.59716796875}, {"start": 52.27, "end": 52.53, "word": " lens", "probability": 0.86083984375}, {"start": 52.53, "end": 52.91, "word": " number", "probability": 0.900390625}, {"start": 52.91, "end": 53.53, "word": " two", "probability": 0.92236328125}, {"start": 53.53, "end": 54.13, "word": " we", "probability": 0.64208984375}, {"start": 54.13, "end": 54.29, "word": " say", "probability": 0.79541015625}, {"start": 54.29, "end": 54.53, "word": " we", "probability": 0.6494140625}, {"start": 54.53, "end": 54.59, "word": " have", "probability": 0.91845703125}, {"start": 54.59, "end": 54.97, "word": " a", "probability": 0.62060546875}, {"start": 54.97, "end": 55.39, "word": " plus", "probability": 0.484619140625}, {"start": 55.39, "end": 55.39, "word": " lens", "probability": 0.8720703125}], "temperature": 1.0}, {"id": 3, "seek": 8520, "start": 56.46, "end": 85.2, "text": "7 diopter and on the distance from it on the left 50 cm object wherever the point is wherever the point is we say u is equal to negative n over o and is equal to negative 1 over 50 cm which is half a meter and is equal to negative 2 diopter negative 2 diopter", "tokens": [22, 1026, 404, 391, 293, 322, 264, 4560, 490, 309, 322, 264, 1411, 2625, 14668, 2657, 8660, 264, 935, 307, 8660, 264, 935, 307, 321, 584, 344, 307, 2681, 281, 3671, 297, 670, 277, 293, 307, 2681, 281, 3671, 502, 670, 2625, 14668, 597, 307, 1922, 257, 9255, 293, 307, 2681, 281, 3671, 568, 1026, 404, 391, 3671, 568, 1026, 404, 391], "avg_logprob": -0.4895833210339622, "compression_ratio": 1.9770992366412214, "no_speech_prob": 4.887580871582031e-06, "words": [{"start": 56.46, "end": 56.92, "word": "7", "probability": 0.27392578125}, {"start": 56.92, "end": 57.46, "word": " diopter", "probability": 0.6202799479166666}, {"start": 57.46, "end": 57.6, "word": " and", "probability": 0.62646484375}, {"start": 57.6, "end": 57.8, "word": " on", "probability": 0.270751953125}, {"start": 57.8, "end": 58.12, "word": " the", "probability": 0.362060546875}, {"start": 58.12, "end": 58.36, "word": " distance", "probability": 0.2069091796875}, {"start": 58.36, "end": 58.58, "word": " from", "probability": 0.5673828125}, {"start": 58.58, "end": 58.82, "word": " it", "probability": 0.673828125}, {"start": 58.82, "end": 59.06, "word": " on", "probability": 0.43994140625}, {"start": 59.06, "end": 59.24, "word": " the", "probability": 0.88818359375}, {"start": 59.24, "end": 59.4, "word": " left", "probability": 0.88232421875}, {"start": 59.4, "end": 59.88, "word": " 50", "probability": 0.55419921875}, {"start": 59.88, "end": 60.32, "word": " cm", "probability": 0.443115234375}, {"start": 60.32, "end": 61.46, "word": " object", "probability": 0.5078125}, {"start": 61.46, "end": 61.82, "word": " wherever", "probability": 0.1942138671875}, {"start": 61.82, "end": 62.42, "word": " the", "probability": 0.65869140625}, {"start": 62.42, "end": 62.54, "word": " point", "probability": 0.12164306640625}, {"start": 62.54, "end": 62.68, "word": " is", "probability": 0.595703125}, {"start": 62.68, "end": 62.92, "word": " wherever", "probability": 0.332275390625}, {"start": 62.92, "end": 63.16, "word": " the", "probability": 0.81201171875}, {"start": 63.16, "end": 63.2, "word": " point", "probability": 0.9765625}, {"start": 63.2, "end": 63.68, "word": " is", "probability": 0.91796875}, {"start": 63.68, "end": 63.84, "word": " we", "probability": 0.6396484375}, {"start": 63.84, "end": 64.02, "word": " say", "probability": 0.77392578125}, {"start": 64.02, "end": 64.4, "word": " u", "probability": 0.437744140625}, {"start": 64.4, "end": 64.86, "word": " is", "probability": 0.281005859375}, {"start": 64.86, "end": 66.26, "word": " equal", "probability": 0.890625}, {"start": 66.26, "end": 66.56, "word": " to", "probability": 0.455078125}, {"start": 66.56, "end": 67.38, "word": " negative", "probability": 0.53955078125}, {"start": 67.38, "end": 67.76, "word": " n", "probability": 0.654296875}, {"start": 67.76, "end": 67.92, "word": " over", "probability": 0.32421875}, {"start": 67.92, "end": 68.26, "word": " o", "probability": 0.81787109375}, {"start": 68.26, "end": 72.74, "word": " and", "probability": 0.43701171875}, {"start": 72.74, "end": 72.88, "word": " is", "probability": 0.316650390625}, {"start": 72.88, "end": 73.24, "word": " equal", "probability": 0.91259765625}, {"start": 73.24, "end": 73.68, "word": " to", "probability": 0.83544921875}, {"start": 73.68, "end": 74.98, "word": " negative", "probability": 0.80908203125}, {"start": 74.98, "end": 75.58, "word": " 1", "probability": 0.58349609375}, {"start": 75.58, "end": 76.4, "word": " over", "probability": 0.71533203125}, {"start": 76.4, "end": 77.06, "word": " 50", "probability": 0.81298828125}, {"start": 77.06, "end": 77.48, "word": " cm", "probability": 0.5732421875}, {"start": 77.48, "end": 77.64, "word": " which", "probability": 0.625}, {"start": 77.64, "end": 77.74, "word": " is", "probability": 0.8828125}, {"start": 77.74, "end": 77.96, "word": " half", "probability": 0.7587890625}, {"start": 77.96, "end": 78.06, "word": " a", "probability": 0.541015625}, {"start": 78.06, "end": 78.34, "word": " meter", "probability": 0.90380859375}, {"start": 78.34, "end": 80.32, "word": " and", "probability": 0.80419921875}, {"start": 80.32, "end": 80.48, "word": " is", "probability": 0.7626953125}, {"start": 80.48, "end": 80.82, "word": " equal", "probability": 0.9140625}, {"start": 80.82, "end": 81.6, "word": " to", "probability": 0.93896484375}, {"start": 81.6, "end": 82.08, "word": " negative", "probability": 0.76953125}, {"start": 82.08, "end": 82.6, "word": " 2", "probability": 0.8291015625}, {"start": 82.6, "end": 83.32, "word": " diopter", "probability": 0.8444010416666666}, {"start": 83.32, "end": 84.22, "word": " negative", "probability": 0.85546875}, {"start": 84.22, "end": 84.6, "word": " 2", "probability": 0.86181640625}, {"start": 84.6, "end": 85.2, "word": " diopter", "probability": 0.9080403645833334}], "temperature": 1.0}, {"id": 4, "seek": 11751, "start": 88.37, "end": 117.51, "text": " So, the amplitude of the light when it reaches the surface of the front lens is less than 2 diopters On the front lens surface, I put that the light reaches with an amplitude of 2 diopters Now, let's see how much the amplitude will be U plus P is equal to V", "tokens": [407, 11, 264, 27433, 295, 264, 1442, 562, 309, 14235, 264, 3753, 295, 264, 1868, 6765, 307, 1570, 813, 568, 1026, 404, 1559, 1282, 264, 1868, 6765, 3753, 11, 286, 829, 300, 264, 1442, 14235, 365, 364, 27433, 295, 568, 1026, 404, 1559, 823, 11, 718, 311, 536, 577, 709, 264, 27433, 486, 312, 624, 1804, 430, 307, 2681, 281, 691], "avg_logprob": -0.5352822503735942, "compression_ratio": 1.6973684210526316, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 88.37, "end": 88.93, "word": " So,", "probability": 0.20166015625}, {"start": 90.53, "end": 90.53, "word": " the", "probability": 0.41357421875}, {"start": 90.53, "end": 90.91, "word": " amplitude", "probability": 0.21044921875}, {"start": 90.91, "end": 91.19, "word": " of", "probability": 0.908203125}, {"start": 91.19, "end": 91.27, "word": " the", "probability": 0.37353515625}, {"start": 91.27, "end": 91.43, "word": " light", "probability": 0.8095703125}, {"start": 91.43, "end": 91.65, "word": " when", "probability": 0.5849609375}, {"start": 91.65, "end": 91.83, "word": " it", "probability": 0.9091796875}, {"start": 91.83, "end": 91.99, "word": " reaches", "probability": 0.712890625}, {"start": 91.99, "end": 92.21, "word": " the", "probability": 0.8125}, {"start": 92.21, "end": 92.35, "word": " surface", "probability": 0.267578125}, {"start": 92.35, "end": 92.45, "word": " of", "probability": 0.94482421875}, {"start": 92.45, "end": 92.53, "word": " the", "probability": 0.88134765625}, {"start": 92.53, "end": 93.15, "word": " front", "probability": 0.5205078125}, {"start": 93.15, "end": 93.35, "word": " lens", "probability": 0.6845703125}, {"start": 93.35, "end": 93.47, "word": " is", "probability": 0.57421875}, {"start": 93.47, "end": 93.77, "word": " less", "probability": 0.190673828125}, {"start": 93.77, "end": 93.99, "word": " than", "probability": 0.91552734375}, {"start": 93.99, "end": 94.37, "word": " 2", "probability": 0.68603515625}, {"start": 94.37, "end": 94.95, "word": " diopters", "probability": 0.650146484375}, {"start": 94.95, "end": 97.61, "word": " On", "probability": 0.272705078125}, {"start": 97.61, "end": 102.27, "word": " the", "probability": 0.91650390625}, {"start": 102.27, "end": 102.67, "word": " front", "probability": 0.58056640625}, {"start": 102.67, "end": 102.83, "word": " lens", "probability": 0.65087890625}, {"start": 102.83, "end": 103.29, "word": " surface,", "probability": 0.22705078125}, {"start": 103.37, "end": 103.43, "word": " I", "probability": 0.8564453125}, {"start": 103.43, "end": 103.69, "word": " put", "probability": 0.389404296875}, {"start": 103.69, "end": 103.89, "word": " that", "probability": 0.7763671875}, {"start": 103.89, "end": 104.05, "word": " the", "probability": 0.80810546875}, {"start": 104.05, "end": 104.21, "word": " light", "probability": 0.861328125}, {"start": 104.21, "end": 104.59, "word": " reaches", "probability": 0.332763671875}, {"start": 104.59, "end": 104.77, "word": " with", "probability": 0.3330078125}, {"start": 104.77, "end": 104.91, "word": " an", "probability": 0.56787109375}, {"start": 104.91, "end": 105.27, "word": " amplitude", "probability": 0.9423828125}, {"start": 105.27, "end": 105.67, "word": " of", "probability": 0.6591796875}, {"start": 105.67, "end": 106.19, "word": " 2", "probability": 0.828125}, {"start": 106.19, "end": 107.23, "word": " diopters", "probability": 0.9417317708333334}, {"start": 107.23, "end": 109.79, "word": " Now,", "probability": 0.77001953125}, {"start": 109.91, "end": 109.99, "word": " let's", "probability": 0.718505859375}, {"start": 109.99, "end": 110.13, "word": " see", "probability": 0.80029296875}, {"start": 110.13, "end": 110.73, "word": " how", "probability": 0.431640625}, {"start": 110.73, "end": 110.73, "word": " much", "probability": 0.60302734375}, {"start": 110.73, "end": 110.73, "word": " the", "probability": 0.1982421875}, {"start": 110.73, "end": 111.21, "word": " amplitude", "probability": 0.83447265625}, {"start": 111.21, "end": 111.45, "word": " will", "probability": 0.4091796875}, {"start": 111.45, "end": 111.77, "word": " be", "probability": 0.35986328125}, {"start": 111.77, "end": 114.57, "word": " U", "probability": 0.50341796875}, {"start": 114.57, "end": 114.87, "word": " plus", "probability": 0.251708984375}, {"start": 114.87, "end": 115.41, "word": " P", "probability": 0.92333984375}, {"start": 115.41, "end": 116.83, "word": " is", "probability": 0.257080078125}, {"start": 116.83, "end": 117.13, "word": " equal", "probability": 0.87744140625}, {"start": 117.13, "end": 117.23, "word": " to", "probability": 0.962890625}, {"start": 117.23, "end": 117.51, "word": " V", "probability": 0.9677734375}], "temperature": 1.0}, {"id": 5, "seek": 14676, "start": 120.06, "end": 146.76, "text": "U which is minus 2 diopter and power which is plus 7 diopter which is equal to V so V is equal to plus 5 diopter so the light will come out in groups of 5 diopter plus which means that the light will come out in groups as long as it will come out in groups", "tokens": [52, 597, 307, 3175, 568, 1026, 404, 391, 293, 1347, 597, 307, 1804, 1614, 1026, 404, 391, 597, 307, 2681, 281, 691, 370, 691, 307, 2681, 281, 1804, 1025, 1026, 404, 391, 370, 264, 1442, 486, 808, 484, 294, 3935, 295, 1025, 1026, 404, 391, 1804, 597, 1355, 300, 264, 1442, 486, 808, 484, 294, 3935, 382, 938, 382, 309, 486, 808, 484, 294, 3935], "avg_logprob": -0.4434185497688525, "compression_ratio": 2.0317460317460316, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 120.06, "end": 120.5, "word": "U", "probability": 0.6240234375}, {"start": 120.5, "end": 120.8, "word": " which", "probability": 0.433837890625}, {"start": 120.8, "end": 120.96, "word": " is", "probability": 0.87353515625}, {"start": 120.96, "end": 121.22, "word": " minus", "probability": 0.267333984375}, {"start": 121.22, "end": 121.58, "word": " 2", "probability": 0.4912109375}, {"start": 121.58, "end": 122.14, "word": " diopter", "probability": 0.7742513020833334}, {"start": 122.14, "end": 122.76, "word": " and", "probability": 0.6123046875}, {"start": 122.76, "end": 123.22, "word": " power", "probability": 0.6708984375}, {"start": 123.22, "end": 123.7, "word": " which", "probability": 0.327880859375}, {"start": 123.7, "end": 123.7, "word": " is", "probability": 0.93701171875}, {"start": 123.7, "end": 124.02, "word": " plus", "probability": 0.85888671875}, {"start": 124.02, "end": 124.34, "word": " 7", "probability": 0.931640625}, {"start": 124.34, "end": 124.98, "word": " diopter", "probability": 0.93505859375}, {"start": 124.98, "end": 126.2, "word": " which", "probability": 0.1947021484375}, {"start": 126.2, "end": 126.48, "word": " is", "probability": 0.7529296875}, {"start": 126.48, "end": 126.6, "word": " equal", "probability": 0.755859375}, {"start": 126.6, "end": 126.74, "word": " to", "probability": 0.92919921875}, {"start": 126.74, "end": 127.04, "word": " V", "probability": 0.9189453125}, {"start": 127.04, "end": 128.34, "word": " so", "probability": 0.191162109375}, {"start": 128.34, "end": 128.66, "word": " V", "probability": 0.828125}, {"start": 128.66, "end": 128.96, "word": " is", "probability": 0.59326171875}, {"start": 128.96, "end": 129.3, "word": " equal", "probability": 0.8349609375}, {"start": 129.3, "end": 132.48, "word": " to", "probability": 0.9541015625}, {"start": 132.48, "end": 132.92, "word": " plus", "probability": 0.85009765625}, {"start": 132.92, "end": 133.28, "word": " 5", "probability": 0.93310546875}, {"start": 133.28, "end": 133.96, "word": " diopter", "probability": 0.9091796875}, {"start": 133.96, "end": 135.2, "word": " so", "probability": 0.56884765625}, {"start": 135.2, "end": 135.38, "word": " the", "probability": 0.474853515625}, {"start": 135.38, "end": 135.54, "word": " light", "probability": 0.80517578125}, {"start": 135.54, "end": 135.74, "word": " will", "probability": 0.591796875}, {"start": 135.74, "end": 136.02, "word": " come", "probability": 0.4287109375}, {"start": 136.02, "end": 136.14, "word": " out", "probability": 0.69287109375}, {"start": 136.14, "end": 136.2, "word": " in", "probability": 0.41015625}, {"start": 136.2, "end": 136.74, "word": " groups", "probability": 0.016204833984375}, {"start": 136.74, "end": 138.56, "word": " of", "probability": 0.525390625}, {"start": 138.56, "end": 140.14, "word": " 5", "probability": 0.5361328125}, {"start": 140.14, "end": 141.24, "word": " diopter", "probability": 0.7017415364583334}, {"start": 141.24, "end": 141.76, "word": " plus", "probability": 0.8291015625}, {"start": 141.76, "end": 142.0, "word": " which", "probability": 0.386474609375}, {"start": 142.0, "end": 142.06, "word": " means", "probability": 0.84814453125}, {"start": 142.06, "end": 142.14, "word": " that", "probability": 0.393310546875}, {"start": 142.14, "end": 142.22, "word": " the", "probability": 0.6669921875}, {"start": 142.22, "end": 142.32, "word": " light", "probability": 0.86572265625}, {"start": 142.32, "end": 142.54, "word": " will", "probability": 0.80078125}, {"start": 142.54, "end": 142.78, "word": " come", "probability": 0.69775390625}, {"start": 142.78, "end": 142.96, "word": " out", "probability": 0.83984375}, {"start": 142.96, "end": 142.98, "word": " in", "probability": 0.63720703125}, {"start": 142.98, "end": 143.48, "word": " groups", "probability": 0.7275390625}, {"start": 143.48, "end": 145.54, "word": " as", "probability": 0.4033203125}, {"start": 145.54, "end": 145.78, "word": " long", "probability": 0.7470703125}, {"start": 145.78, "end": 145.8, "word": " as", "probability": 0.94970703125}, {"start": 145.8, "end": 145.98, "word": " it", "probability": 0.77783203125}, {"start": 145.98, "end": 145.98, "word": " will", "probability": 0.309814453125}, {"start": 145.98, "end": 146.16, "word": " come", "probability": 0.8017578125}, {"start": 146.16, "end": 146.26, "word": " out", "probability": 0.86572265625}, {"start": 146.26, "end": 146.36, "word": " in", "probability": 0.87060546875}, {"start": 146.36, "end": 146.76, "word": " groups", "probability": 0.939453125}], "temperature": 1.0}, {"id": 6, "seek": 17601, "start": 151.91, "end": 176.01, "text": "It means that it will create a real image And therefore, we need to know the location of the image The image is Uncharted on V It is equal to 1 which is Uncharted on V plus 5 diopter", "tokens": [3522, 1355, 300, 309, 486, 1884, 257, 957, 3256, 400, 4412, 11, 321, 643, 281, 458, 264, 4914, 295, 264, 3256, 440, 3256, 307, 1156, 339, 47350, 322, 691, 467, 307, 2681, 281, 502, 597, 307, 1156, 339, 47350, 322, 691, 1804, 1025, 1026, 404, 391], "avg_logprob": -0.5871010587570515, "compression_ratio": 1.421875, "no_speech_prob": 2.0265579223632812e-06, "words": [{"start": 151.91, "end": 152.09, "word": "It", "probability": 0.2314453125}, {"start": 152.09, "end": 152.27, "word": " means", "probability": 0.51171875}, {"start": 152.27, "end": 152.45, "word": " that", "probability": 0.375}, {"start": 152.45, "end": 152.45, "word": " it", "probability": 0.58544921875}, {"start": 152.45, "end": 152.63, "word": " will", "probability": 0.64892578125}, {"start": 152.63, "end": 152.91, "word": " create", "probability": 0.3330078125}, {"start": 152.91, "end": 154.71, "word": " a", "probability": 0.75537109375}, {"start": 154.71, "end": 155.03, "word": " real", "probability": 0.68896484375}, {"start": 155.03, "end": 155.29, "word": " image", "probability": 0.439208984375}, {"start": 155.29, "end": 159.13, "word": " And", "probability": 0.123046875}, {"start": 159.13, "end": 162.77, "word": " therefore,", "probability": 0.2410888671875}, {"start": 162.95, "end": 162.95, "word": " we", "probability": 0.470947265625}, {"start": 162.95, "end": 163.15, "word": " need", "probability": 0.43017578125}, {"start": 163.15, "end": 163.27, "word": " to", "probability": 0.96484375}, {"start": 163.27, "end": 163.45, "word": " know", "probability": 0.79150390625}, {"start": 163.45, "end": 163.61, "word": " the", "probability": 0.46533203125}, {"start": 163.61, "end": 163.81, "word": " location", "probability": 0.55615234375}, {"start": 163.81, "end": 163.93, "word": " of", "probability": 0.95849609375}, {"start": 163.93, "end": 164.03, "word": " the", "probability": 0.74755859375}, {"start": 164.03, "end": 164.25, "word": " image", "probability": 0.75634765625}, {"start": 164.25, "end": 164.59, "word": " The", "probability": 0.345458984375}, {"start": 164.59, "end": 164.77, "word": " image", "probability": 0.55224609375}, {"start": 164.77, "end": 164.99, "word": " is", "probability": 0.59619140625}, {"start": 164.99, "end": 165.97, "word": " Uncharted", "probability": 0.4071044921875}, {"start": 165.97, "end": 166.25, "word": " on", "probability": 0.453369140625}, {"start": 166.25, "end": 166.59, "word": " V", "probability": 0.63623046875}, {"start": 166.59, "end": 170.77, "word": " It", "probability": 0.1458740234375}, {"start": 170.77, "end": 171.01, "word": " is", "probability": 0.4267578125}, {"start": 171.01, "end": 171.29, "word": " equal", "probability": 0.7412109375}, {"start": 171.29, "end": 172.71, "word": " to", "probability": 0.92626953125}, {"start": 172.71, "end": 173.15, "word": " 1", "probability": 0.62255859375}, {"start": 173.15, "end": 173.41, "word": " which", "probability": 0.428955078125}, {"start": 173.41, "end": 173.51, "word": " is", "probability": 0.89111328125}, {"start": 173.51, "end": 174.11, "word": " Uncharted", "probability": 0.83154296875}, {"start": 174.11, "end": 174.37, "word": " on", "probability": 0.86865234375}, {"start": 174.37, "end": 174.71, "word": " V", "probability": 0.90185546875}, {"start": 174.71, "end": 175.03, "word": " plus", "probability": 0.451904296875}, {"start": 175.03, "end": 175.37, "word": " 5", "probability": 0.82470703125}, {"start": 175.37, "end": 176.01, "word": " diopter", "probability": 0.8001302083333334}], "temperature": 1.0}, {"id": 7, "seek": 20594, "start": 178.0, "end": 205.94, "text": "and it's equal to 2 out of 10 meters plus 2 out of 10 plus means the image on the right of the lens to plus plus 2 out of 10 meters means plus 20 centimeters plus 20 centimeters to the right of the lens to plus now we want to get the transverse magnification but before we get the transverse magnification", "tokens": [474, 309, 311, 2681, 281, 568, 484, 295, 1266, 8146, 1804, 568, 484, 295, 1266, 1804, 1355, 264, 3256, 322, 264, 558, 295, 264, 6765, 281, 1804, 1804, 568, 484, 295, 1266, 8146, 1355, 1804, 945, 23300, 1804, 945, 23300, 281, 264, 558, 295, 264, 6765, 281, 1804, 586, 321, 528, 281, 483, 264, 1145, 4308, 4944, 3774, 457, 949, 321, 483, 264, 1145, 4308, 4944, 3774], "avg_logprob": -0.3952205961241442, "compression_ratio": 2.1785714285714284, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 178.0, "end": 178.26, "word": "and", "probability": 0.04107666015625}, {"start": 178.26, "end": 178.54, "word": " it's", "probability": 0.401611328125}, {"start": 178.54, "end": 178.82, "word": " equal", "probability": 0.42236328125}, {"start": 178.82, "end": 179.88, "word": " to", "probability": 0.9169921875}, {"start": 179.88, "end": 180.26, "word": " 2", "probability": 0.513671875}, {"start": 180.26, "end": 180.52, "word": " out", "probability": 0.193603515625}, {"start": 180.52, "end": 180.52, "word": " of", "probability": 0.9619140625}, {"start": 180.52, "end": 180.92, "word": " 10", "probability": 0.9345703125}, {"start": 180.92, "end": 181.44, "word": " meters", "probability": 0.650390625}, {"start": 181.44, "end": 182.06, "word": " plus", "probability": 0.63671875}, {"start": 182.06, "end": 182.52, "word": " 2", "probability": 0.72705078125}, {"start": 182.52, "end": 182.78, "word": " out", "probability": 0.6904296875}, {"start": 182.78, "end": 182.78, "word": " of", "probability": 0.9736328125}, {"start": 182.78, "end": 183.08, "word": " 10", "probability": 0.96923828125}, {"start": 183.08, "end": 183.44, "word": " plus", "probability": 0.59228515625}, {"start": 183.44, "end": 183.68, "word": " means", "probability": 0.54443359375}, {"start": 183.68, "end": 183.88, "word": " the", "probability": 0.4873046875}, {"start": 183.88, "end": 184.0, "word": " image", "probability": 0.407958984375}, {"start": 184.0, "end": 184.24, "word": " on", "probability": 0.5615234375}, {"start": 184.24, "end": 184.44, "word": " the", "probability": 0.837890625}, {"start": 184.44, "end": 184.64, "word": " right", "probability": 0.84814453125}, {"start": 184.64, "end": 184.82, "word": " of", "probability": 0.444091796875}, {"start": 184.82, "end": 184.82, "word": " the", "probability": 0.85693359375}, {"start": 184.82, "end": 185.12, "word": " lens", "probability": 0.4423828125}, {"start": 185.12, "end": 185.28, "word": " to", "probability": 0.451416015625}, {"start": 185.28, "end": 185.54, "word": " plus", "probability": 0.59033203125}, {"start": 185.54, "end": 186.46, "word": " plus", "probability": 0.75634765625}, {"start": 186.46, "end": 187.66, "word": " 2", "probability": 0.80810546875}, {"start": 187.66, "end": 187.96, "word": " out", "probability": 0.8447265625}, {"start": 187.96, "end": 187.96, "word": " of", "probability": 0.97314453125}, {"start": 187.96, "end": 188.38, "word": " 10", "probability": 0.96240234375}, {"start": 188.38, "end": 189.1, "word": " meters", "probability": 0.890625}, {"start": 189.1, "end": 192.52, "word": " means", "probability": 0.364990234375}, {"start": 192.52, "end": 192.88, "word": " plus", "probability": 0.875}, {"start": 192.88, "end": 193.3, "word": " 20", "probability": 0.94873046875}, {"start": 193.3, "end": 193.78, "word": " centimeters", "probability": 0.57763671875}, {"start": 193.78, "end": 195.82, "word": " plus", "probability": 0.892578125}, {"start": 195.82, "end": 196.54, "word": " 20", "probability": 0.955078125}, {"start": 196.54, "end": 196.98, "word": " centimeters", "probability": 0.89599609375}, {"start": 196.98, "end": 197.16, "word": " to", "probability": 0.69091796875}, {"start": 197.16, "end": 197.28, "word": " the", "probability": 0.9052734375}, {"start": 197.28, "end": 197.58, "word": " right", "probability": 0.89794921875}, {"start": 197.58, "end": 197.78, "word": " of", "probability": 0.86669921875}, {"start": 197.78, "end": 197.88, "word": " the", "probability": 0.91015625}, {"start": 197.88, "end": 198.24, "word": " lens", "probability": 0.8330078125}, {"start": 198.24, "end": 198.64, "word": " to", "probability": 0.85595703125}, {"start": 198.64, "end": 198.94, "word": " plus", "probability": 0.91748046875}, {"start": 198.94, "end": 199.8, "word": " now", "probability": 0.6640625}, {"start": 199.8, "end": 201.72, "word": " we", "probability": 0.7421875}, {"start": 201.72, "end": 201.86, "word": " want", "probability": 0.481689453125}, {"start": 201.86, "end": 201.98, "word": " to", "probability": 0.95751953125}, {"start": 201.98, "end": 202.12, "word": " get", "probability": 0.44677734375}, {"start": 202.12, "end": 202.26, "word": " the", "probability": 0.388427734375}, {"start": 202.26, "end": 202.76, "word": " transverse", "probability": 0.5076904296875}, {"start": 202.76, "end": 203.56, "word": " magnification", "probability": 0.97265625}, {"start": 203.56, "end": 203.82, "word": " but", "probability": 0.662109375}, {"start": 203.82, "end": 204.1, "word": " before", "probability": 0.82177734375}, {"start": 204.1, "end": 204.34, "word": " we", "probability": 0.50146484375}, {"start": 204.34, "end": 204.46, "word": " get", "probability": 0.62939453125}, {"start": 204.46, "end": 204.68, "word": " the", "probability": 0.775390625}, {"start": 204.68, "end": 205.12, "word": " transverse", "probability": 0.914306640625}, {"start": 205.12, "end": 205.94, "word": " magnification", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 8, "seek": 23417, "start": 207.49, "end": 234.17, "text": "of course here the V, why did you look at it? because T is 5 and here the image is 20 cm we want to move this square away to close the second lens and see where is 20 cm on the right of the plus lens is 20 cm, the distance between the two lenses is 10 cm, so the image will come here", "tokens": [2670, 1164, 510, 264, 691, 11, 983, 630, 291, 574, 412, 309, 30, 570, 314, 307, 1025, 293, 510, 264, 3256, 307, 945, 14668, 321, 528, 281, 1286, 341, 3732, 1314, 281, 1998, 264, 1150, 6765, 293, 536, 689, 307, 945, 14668, 322, 264, 558, 295, 264, 1804, 6765, 307, 945, 14668, 11, 264, 4560, 1296, 264, 732, 18059, 307, 1266, 14668, 11, 370, 264, 3256, 486, 808, 510], "avg_logprob": -0.6388392729418618, "compression_ratio": 1.654970760233918, "no_speech_prob": 1.7762184143066406e-05, "words": [{"start": 207.49, "end": 207.75, "word": "of", "probability": 0.08416748046875}, {"start": 207.75, "end": 207.87, "word": " course", "probability": 0.88720703125}, {"start": 207.87, "end": 208.09, "word": " here", "probability": 0.54931640625}, {"start": 208.09, "end": 208.23, "word": " the", "probability": 0.277099609375}, {"start": 208.23, "end": 208.53, "word": " V,", "probability": 0.32373046875}, {"start": 209.33, "end": 209.75, "word": " why", "probability": 0.360595703125}, {"start": 209.75, "end": 209.93, "word": " did", "probability": 0.2435302734375}, {"start": 209.93, "end": 210.07, "word": " you", "probability": 0.6865234375}, {"start": 210.07, "end": 210.35, "word": " look", "probability": 0.092041015625}, {"start": 210.35, "end": 210.39, "word": " at", "probability": 0.407470703125}, {"start": 210.39, "end": 210.49, "word": " it?", "probability": 0.5791015625}, {"start": 210.53, "end": 210.59, "word": " because", "probability": 0.283447265625}, {"start": 210.59, "end": 210.79, "word": " T", "probability": 0.331298828125}, {"start": 210.79, "end": 211.01, "word": " is", "probability": 0.7060546875}, {"start": 211.01, "end": 211.97, "word": " 5", "probability": 0.34326171875}, {"start": 211.97, "end": 212.19, "word": " and", "probability": 0.324462890625}, {"start": 212.19, "end": 213.09, "word": " here", "probability": 0.341064453125}, {"start": 213.09, "end": 213.25, "word": " the", "probability": 0.428466796875}, {"start": 213.25, "end": 213.65, "word": " image", "probability": 0.80419921875}, {"start": 213.65, "end": 214.57, "word": " is", "probability": 0.71435546875}, {"start": 214.57, "end": 218.83, "word": " 20", "probability": 0.916015625}, {"start": 218.83, "end": 219.37, "word": " cm", "probability": 0.385009765625}, {"start": 219.37, "end": 221.07, "word": " we", "probability": 0.268798828125}, {"start": 221.07, "end": 221.69, "word": " want", "probability": 0.451904296875}, {"start": 221.69, "end": 221.81, "word": " to", "probability": 0.9482421875}, {"start": 221.81, "end": 221.99, "word": " move", "probability": 0.53955078125}, {"start": 221.99, "end": 222.41, "word": " this", "probability": 0.6865234375}, {"start": 222.41, "end": 223.19, "word": " square", "probability": 0.38818359375}, {"start": 223.19, "end": 223.27, "word": " away", "probability": 0.51123046875}, {"start": 223.27, "end": 223.97, "word": " to", "probability": 0.39794921875}, {"start": 223.97, "end": 224.31, "word": " close", "probability": 0.1258544921875}, {"start": 224.31, "end": 224.55, "word": " the", "probability": 0.73486328125}, {"start": 224.55, "end": 225.19, "word": " second", "probability": 0.46875}, {"start": 225.19, "end": 225.19, "word": " lens", "probability": 0.70458984375}, {"start": 225.19, "end": 225.85, "word": " and", "probability": 0.771484375}, {"start": 225.85, "end": 226.09, "word": " see", "probability": 0.5439453125}, {"start": 226.09, "end": 226.31, "word": " where", "probability": 0.92724609375}, {"start": 226.31, "end": 226.37, "word": " is", "probability": 0.54345703125}, {"start": 226.37, "end": 226.71, "word": " 20", "probability": 0.498291015625}, {"start": 226.71, "end": 227.15, "word": " cm", "probability": 0.86767578125}, {"start": 227.15, "end": 228.47, "word": " on", "probability": 0.6103515625}, {"start": 228.47, "end": 228.61, "word": " the", "probability": 0.87255859375}, {"start": 228.61, "end": 228.77, "word": " right", "probability": 0.8837890625}, {"start": 228.77, "end": 228.93, "word": " of", "probability": 0.62353515625}, {"start": 228.93, "end": 228.99, "word": " the", "probability": 0.76416015625}, {"start": 228.99, "end": 229.59, "word": " plus", "probability": 0.57177734375}, {"start": 229.59, "end": 229.65, "word": " lens", "probability": 0.71044921875}, {"start": 229.65, "end": 229.71, "word": " is", "probability": 0.429443359375}, {"start": 229.71, "end": 230.05, "word": " 20", "probability": 0.95166015625}, {"start": 230.05, "end": 230.53, "word": " cm,", "probability": 0.92724609375}, {"start": 230.75, "end": 230.81, "word": " the", "probability": 0.57861328125}, {"start": 230.81, "end": 231.13, "word": " distance", "probability": 0.91845703125}, {"start": 231.13, "end": 231.35, "word": " between", "probability": 0.81982421875}, {"start": 231.35, "end": 231.47, "word": " the", "probability": 0.53369140625}, {"start": 231.47, "end": 231.75, "word": " two", "probability": 0.349609375}, {"start": 231.75, "end": 231.75, "word": " lenses", "probability": 0.84912109375}, {"start": 231.75, "end": 231.87, "word": " is", "probability": 0.92431640625}, {"start": 231.87, "end": 232.15, "word": " 10", "probability": 0.94091796875}, {"start": 232.15, "end": 232.57, "word": " cm,", "probability": 0.93017578125}, {"start": 232.71, "end": 232.83, "word": " so", "probability": 0.65478515625}, {"start": 232.83, "end": 233.05, "word": " the", "probability": 0.87109375}, {"start": 233.05, "end": 233.35, "word": " image", "probability": 0.9033203125}, {"start": 233.35, "end": 233.61, "word": " will", "probability": 0.79541015625}, {"start": 233.61, "end": 233.85, "word": " come", "probability": 0.72509765625}, {"start": 233.85, "end": 234.17, "word": " here", "probability": 0.841796875}], "temperature": 1.0}, {"id": 9, "seek": 24409, "start": 235.05, "end": 244.09, "text": "بعيدة عشرين سانتي عن العدسة رقم واحد اللي هي العدسة الأولى بعيدة عشر سانتي", "tokens": [3555, 3615, 25708, 3660, 6225, 46309, 9957, 8608, 7649, 31371, 18871, 18863, 3215, 3794, 3660, 12602, 4587, 2304, 36764, 24401, 13672, 1829, 39896, 18863, 3215, 3794, 3660, 16247, 12610, 7578, 45030, 25708, 3660, 6225, 46309, 8608, 7649, 31371], "avg_logprob": -0.195612982297555, "compression_ratio": 1.5340909090909092, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 235.05, "end": 235.57, "word": "بعيدة", "probability": 0.564361572265625}, {"start": 235.57, "end": 235.95, "word": " عشرين", "probability": 0.9305013020833334}, {"start": 235.95, "end": 236.35, "word": " سانتي", "probability": 0.5885416666666666}, {"start": 236.35, "end": 236.59, "word": " عن", "probability": 0.97119140625}, {"start": 236.59, "end": 237.25, "word": " العدسة", "probability": 0.9749755859375}, {"start": 237.25, "end": 238.05, "word": " رقم", "probability": 0.9654947916666666}, {"start": 238.05, "end": 238.89, "word": " واحد", "probability": 0.98583984375}, {"start": 238.89, "end": 239.01, "word": " اللي", "probability": 0.765625}, {"start": 239.01, "end": 239.11, "word": " هي", "probability": 0.84716796875}, {"start": 239.11, "end": 239.69, "word": " العدسة", "probability": 0.9937744140625}, {"start": 239.69, "end": 241.39, "word": " الأولى", "probability": 0.9716796875}, {"start": 241.39, "end": 243.27, "word": " بعيدة", "probability": 0.9195963541666666}, {"start": 243.27, "end": 243.55, "word": " عشر", "probability": 0.783935546875}, {"start": 243.55, "end": 244.09, "word": " سانتي", "probability": 0.87255859375}], "temperature": 1.0}, {"id": 10, "seek": 29047, "start": 262.07, "end": 290.47, "text": "So this image is 20 cm away from the plus lens, so it is 10 cm away from the minus lens Now we bring the transfer magnification, we still need to bring DM1, we are still dealing with the first lens", "tokens": [6455, 341, 3256, 307, 945, 14668, 1314, 490, 264, 1804, 6765, 11, 370, 309, 307, 1266, 14668, 1314, 490, 264, 3175, 6765, 823, 321, 1565, 264, 5003, 4944, 3774, 11, 321, 920, 643, 281, 1565, 15322, 16, 11, 321, 366, 920, 6260, 365, 264, 700, 6765], "avg_logprob": -0.6276595998317638, "compression_ratio": 1.5038167938931297, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 262.07, "end": 262.43, "word": "So", "probability": 0.1466064453125}, {"start": 262.43, "end": 262.81, "word": " this", "probability": 0.348876953125}, {"start": 262.81, "end": 263.77, "word": " image", "probability": 0.66943359375}, {"start": 263.77, "end": 263.95, "word": " is", "probability": 0.55810546875}, {"start": 263.95, "end": 264.65, "word": " 20", "probability": 0.54296875}, {"start": 264.65, "end": 265.23, "word": " cm", "probability": 0.36767578125}, {"start": 265.23, "end": 265.25, "word": " away", "probability": 0.43359375}, {"start": 265.25, "end": 265.43, "word": " from", "probability": 0.87646484375}, {"start": 265.43, "end": 265.53, "word": " the", "probability": 0.53759765625}, {"start": 265.53, "end": 265.85, "word": " plus", "probability": 0.317138671875}, {"start": 265.85, "end": 266.07, "word": " lens,", "probability": 0.57958984375}, {"start": 266.99, "end": 267.11, "word": " so", "probability": 0.412353515625}, {"start": 267.11, "end": 267.33, "word": " it", "probability": 0.6806640625}, {"start": 267.33, "end": 267.49, "word": " is", "probability": 0.52978515625}, {"start": 267.49, "end": 269.21, "word": " 10", "probability": 0.80615234375}, {"start": 269.21, "end": 271.37, "word": " cm", "probability": 0.83349609375}, {"start": 271.37, "end": 273.09, "word": " away", "probability": 0.77392578125}, {"start": 273.09, "end": 273.21, "word": " from", "probability": 0.88720703125}, {"start": 273.21, "end": 273.31, "word": " the", "probability": 0.84423828125}, {"start": 273.31, "end": 274.29, "word": " minus", "probability": 0.63232421875}, {"start": 274.29, "end": 274.29, "word": " lens", "probability": 0.890625}, {"start": 274.29, "end": 274.59, "word": " Now", "probability": 0.337158203125}, {"start": 274.59, "end": 277.47, "word": " we", "probability": 0.34912109375}, {"start": 277.47, "end": 277.63, "word": " bring", "probability": 0.2374267578125}, {"start": 277.63, "end": 277.79, "word": " the", "probability": 0.5048828125}, {"start": 277.79, "end": 278.19, "word": " transfer", "probability": 0.51025390625}, {"start": 278.19, "end": 279.29, "word": " magnification,", "probability": 0.7413330078125}, {"start": 281.79, "end": 282.09, "word": " we", "probability": 0.48681640625}, {"start": 282.09, "end": 282.09, "word": " still", "probability": 0.2183837890625}, {"start": 282.09, "end": 282.83, "word": " need", "probability": 0.391845703125}, {"start": 282.83, "end": 286.33, "word": " to", "probability": 0.8701171875}, {"start": 286.33, "end": 286.33, "word": " bring", "probability": 0.75927734375}, {"start": 286.33, "end": 287.03, "word": " DM1,", "probability": 0.5894775390625}, {"start": 288.57, "end": 288.97, "word": " we", "probability": 0.5595703125}, {"start": 288.97, "end": 289.17, "word": " are", "probability": 0.31689453125}, {"start": 289.17, "end": 289.19, "word": " still", "probability": 0.65576171875}, {"start": 289.19, "end": 289.47, "word": " dealing", "probability": 0.6845703125}, {"start": 289.47, "end": 289.71, "word": " with", "probability": 0.8994140625}, {"start": 289.71, "end": 289.85, "word": " the", "probability": 0.87109375}, {"start": 289.85, "end": 290.47, "word": " first", "probability": 0.82080078125}, {"start": 290.47, "end": 290.47, "word": " lens", "probability": 0.87841796875}], "temperature": 1.0}, {"id": 11, "seek": 31969, "start": 292.09, "end": 319.69, "text": "then we get TM1 which is equal to U over V which is equal to U minus two diopter and V plus five diopter minus two diopter over plus five diopter which is equal to", "tokens": [19096, 321, 483, 33550, 16, 597, 307, 2681, 281, 624, 670, 691, 597, 307, 2681, 281, 624, 3175, 732, 1026, 404, 391, 293, 691, 1804, 1732, 1026, 404, 391, 3175, 732, 1026, 404, 391, 670, 1804, 1732, 1026, 404, 391, 597, 307, 2681, 281], "avg_logprob": -0.35451389683617485, "compression_ratio": 1.8314606741573034, "no_speech_prob": 4.589557647705078e-06, "words": [{"start": 292.09, "end": 292.55, "word": "then", "probability": 0.1751708984375}, {"start": 292.55, "end": 292.91, "word": " we", "probability": 0.72900390625}, {"start": 292.91, "end": 293.35, "word": " get", "probability": 0.420166015625}, {"start": 293.35, "end": 294.61, "word": " TM1", "probability": 0.49505615234375}, {"start": 294.61, "end": 301.35, "word": " which", "probability": 0.27099609375}, {"start": 301.35, "end": 301.61, "word": " is", "probability": 0.80517578125}, {"start": 301.61, "end": 302.13, "word": " equal", "probability": 0.650390625}, {"start": 302.13, "end": 302.61, "word": " to", "probability": 0.8876953125}, {"start": 302.61, "end": 302.93, "word": " U", "probability": 0.72119140625}, {"start": 302.93, "end": 303.25, "word": " over", "probability": 0.47802734375}, {"start": 303.25, "end": 305.89, "word": " V", "probability": 0.97509765625}, {"start": 305.89, "end": 306.59, "word": " which", "probability": 0.291015625}, {"start": 306.59, "end": 306.79, "word": " is", "probability": 0.78759765625}, {"start": 306.79, "end": 307.07, "word": " equal", "probability": 0.8720703125}, {"start": 307.07, "end": 308.79, "word": " to", "probability": 0.96142578125}, {"start": 308.79, "end": 309.09, "word": " U", "probability": 0.634765625}, {"start": 309.09, "end": 309.41, "word": " minus", "probability": 0.9248046875}, {"start": 309.41, "end": 309.79, "word": " two", "probability": 0.453369140625}, {"start": 309.79, "end": 310.33, "word": " diopter", "probability": 0.6553548177083334}, {"start": 310.33, "end": 310.49, "word": " and", "probability": 0.37060546875}, {"start": 310.49, "end": 310.73, "word": " V", "probability": 0.72265625}, {"start": 310.73, "end": 311.07, "word": " plus", "probability": 0.9091796875}, {"start": 311.07, "end": 311.45, "word": " five", "probability": 0.859375}, {"start": 311.45, "end": 312.15, "word": " diopter", "probability": 0.91259765625}, {"start": 312.15, "end": 312.63, "word": " minus", "probability": 0.64892578125}, {"start": 312.63, "end": 313.15, "word": " two", "probability": 0.91015625}, {"start": 313.15, "end": 313.87, "word": " diopter", "probability": 0.93994140625}, {"start": 313.87, "end": 314.75, "word": " over", "probability": 0.66943359375}, {"start": 314.75, "end": 316.35, "word": " plus", "probability": 0.6904296875}, {"start": 316.35, "end": 317.51, "word": " five", "probability": 0.900390625}, {"start": 317.51, "end": 318.25, "word": " diopter", "probability": 0.9454752604166666}, {"start": 318.25, "end": 319.01, "word": " which", "probability": 0.60693359375}, {"start": 319.01, "end": 319.15, "word": " is", "probability": 0.900390625}, {"start": 319.15, "end": 319.49, "word": " equal", "probability": 0.89794921875}, {"start": 319.49, "end": 319.69, "word": " to", "probability": 0.9658203125}], "temperature": 1.0}, {"id": 12, "seek": 34504, "start": 321.26, "end": 345.04, "text": "x minus 4 out of 10 what does x minus 4 out of 10 mean? it means the picture is upside down and four tenths of the object four tenths of the object this was the transference magnification of the first lens now we hide the first lens", "tokens": [87, 3175, 1017, 484, 295, 1266, 437, 775, 2031, 3175, 1017, 484, 295, 1266, 914, 30, 309, 1355, 264, 3036, 307, 14119, 760, 293, 1451, 27269, 82, 295, 264, 2657, 1451, 27269, 82, 295, 264, 2657, 341, 390, 264, 5003, 655, 4944, 3774, 295, 264, 700, 6765, 586, 321, 6479, 264, 700, 6765], "avg_logprob": -0.4001736072478471, "compression_ratio": 1.7313432835820894, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 321.26, "end": 321.82, "word": "x", "probability": 0.4716796875}, {"start": 321.82, "end": 322.38, "word": " minus", "probability": 0.48193359375}, {"start": 322.38, "end": 323.7, "word": " 4", "probability": 0.393798828125}, {"start": 323.7, "end": 323.98, "word": " out", "probability": 0.220947265625}, {"start": 323.98, "end": 323.98, "word": " of", "probability": 0.96875}, {"start": 323.98, "end": 324.2, "word": " 10", "probability": 0.9580078125}, {"start": 324.2, "end": 326.14, "word": " what", "probability": 0.4755859375}, {"start": 326.14, "end": 326.32, "word": " does", "probability": 0.66552734375}, {"start": 326.32, "end": 326.6, "word": " x", "probability": 0.671875}, {"start": 326.6, "end": 326.96, "word": " minus", "probability": 0.9150390625}, {"start": 326.96, "end": 327.34, "word": " 4", "probability": 0.87744140625}, {"start": 327.34, "end": 327.52, "word": " out", "probability": 0.74755859375}, {"start": 327.52, "end": 327.54, "word": " of", "probability": 0.97265625}, {"start": 327.54, "end": 327.8, "word": " 10", "probability": 0.96875}, {"start": 327.8, "end": 327.82, "word": " mean?", "probability": 0.6923828125}, {"start": 327.82, "end": 328.0, "word": " it", "probability": 0.50927734375}, {"start": 328.0, "end": 328.1, "word": " means", "probability": 0.806640625}, {"start": 328.1, "end": 328.24, "word": " the", "probability": 0.39111328125}, {"start": 328.24, "end": 328.46, "word": " picture", "probability": 0.365966796875}, {"start": 328.46, "end": 328.62, "word": " is", "probability": 0.79248046875}, {"start": 328.62, "end": 328.84, "word": " upside", "probability": 0.26123046875}, {"start": 328.84, "end": 329.48, "word": " down", "probability": 0.8095703125}, {"start": 329.48, "end": 330.58, "word": " and", "probability": 0.68701171875}, {"start": 330.58, "end": 331.2, "word": " four", "probability": 0.281982421875}, {"start": 331.2, "end": 331.94, "word": " tenths", "probability": 0.657470703125}, {"start": 331.94, "end": 332.28, "word": " of", "probability": 0.9345703125}, {"start": 332.28, "end": 332.34, "word": " the", "probability": 0.8369140625}, {"start": 332.34, "end": 332.68, "word": " object", "probability": 0.88671875}, {"start": 332.68, "end": 333.04, "word": " four", "probability": 0.29541015625}, {"start": 333.04, "end": 333.62, "word": " tenths", "probability": 0.8388671875}, {"start": 333.62, "end": 333.72, "word": " of", "probability": 0.939453125}, {"start": 333.72, "end": 338.56, "word": " the", "probability": 0.89306640625}, {"start": 338.56, "end": 338.76, "word": " object", "probability": 0.9560546875}, {"start": 338.76, "end": 340.4, "word": " this", "probability": 0.431884765625}, {"start": 340.4, "end": 340.54, "word": " was", "probability": 0.5556640625}, {"start": 340.54, "end": 340.68, "word": " the", "probability": 0.716796875}, {"start": 340.68, "end": 341.2, "word": " transference", "probability": 0.618896484375}, {"start": 341.2, "end": 341.88, "word": " magnification", "probability": 0.910400390625}, {"start": 341.88, "end": 342.12, "word": " of", "probability": 0.71728515625}, {"start": 342.12, "end": 342.28, "word": " the", "probability": 0.88330078125}, {"start": 342.28, "end": 343.12, "word": " first", "probability": 0.841796875}, {"start": 343.12, "end": 343.16, "word": " lens", "probability": 0.705078125}, {"start": 343.16, "end": 344.04, "word": " now", "probability": 0.76220703125}, {"start": 344.04, "end": 344.28, "word": " we", "probability": 0.70068359375}, {"start": 344.28, "end": 344.58, "word": " hide", "probability": 0.3759765625}, {"start": 344.58, "end": 344.74, "word": " the", "probability": 0.908203125}, {"start": 344.74, "end": 344.76, "word": " first", "probability": 0.83740234375}, {"start": 344.76, "end": 345.04, "word": " lens", "probability": 0.9111328125}], "temperature": 1.0}, {"id": 13, "seek": 37522, "start": 347.12, "end": 375.22, "text": "we move on to dealing with the other lens we move on to dealing with the other lens we say this is the object of the other lens which is the image of the first lens but it is on its right which means that the rays before they go and form this image which is the object of the other lens will collide in the minus lens which is convergent which means virtual object virtual object so this speech we want to see what it wants to do", "tokens": [826, 1286, 322, 281, 6260, 365, 264, 661, 6765, 321, 1286, 322, 281, 6260, 365, 264, 661, 6765, 321, 584, 341, 307, 264, 2657, 295, 264, 661, 6765, 597, 307, 264, 3256, 295, 264, 700, 6765, 457, 309, 307, 322, 1080, 558, 597, 1355, 300, 264, 24417, 949, 436, 352, 293, 1254, 341, 3256, 597, 307, 264, 2657, 295, 264, 661, 6765, 486, 49093, 294, 264, 3175, 6765, 597, 307, 9652, 6930, 597, 1355, 6374, 2657, 6374, 2657, 370, 341, 6218, 321, 528, 281, 536, 437, 309, 2738, 281, 360], "avg_logprob": -0.417239010989011, "compression_ratio": 2.2819148936170213, "no_speech_prob": 6.186962127685547e-05, "words": [{"start": 347.12, "end": 347.34, "word": "we", "probability": 0.18603515625}, {"start": 347.34, "end": 347.62, "word": " move", "probability": 0.513671875}, {"start": 347.62, "end": 347.8, "word": " on", "probability": 0.266845703125}, {"start": 347.8, "end": 347.9, "word": " to", "probability": 0.89013671875}, {"start": 347.9, "end": 348.24, "word": " dealing", "probability": 0.2470703125}, {"start": 348.24, "end": 348.5, "word": " with", "probability": 0.89306640625}, {"start": 348.5, "end": 349.16, "word": " the", "probability": 0.56884765625}, {"start": 349.16, "end": 349.16, "word": " other", "probability": 0.423828125}, {"start": 349.16, "end": 349.16, "word": " lens", "probability": 0.7177734375}, {"start": 349.16, "end": 349.6, "word": " we", "probability": 0.23876953125}, {"start": 349.6, "end": 349.78, "word": " move", "probability": 0.78857421875}, {"start": 349.78, "end": 349.98, "word": " on", "probability": 0.90087890625}, {"start": 349.98, "end": 350.08, "word": " to", "probability": 0.94873046875}, {"start": 350.08, "end": 350.48, "word": " dealing", "probability": 0.9423828125}, {"start": 350.48, "end": 350.82, "word": " with", "probability": 0.89990234375}, {"start": 350.82, "end": 351.12, "word": " the", "probability": 0.8720703125}, {"start": 351.12, "end": 351.2, "word": " other", "probability": 0.876953125}, {"start": 351.2, "end": 352.46, "word": " lens", "probability": 0.91943359375}, {"start": 352.46, "end": 352.66, "word": " we", "probability": 0.496337890625}, {"start": 352.66, "end": 352.94, "word": " say", "probability": 0.845703125}, {"start": 352.94, "end": 353.1, "word": " this", "probability": 0.471923828125}, {"start": 353.1, "end": 353.14, "word": " is", "probability": 0.861328125}, {"start": 353.14, "end": 353.26, "word": " the", "probability": 0.8369140625}, {"start": 353.26, "end": 353.58, "word": " object", "probability": 0.951171875}, {"start": 353.58, "end": 353.8, "word": " of", "probability": 0.947265625}, {"start": 353.8, "end": 353.92, "word": " the", "probability": 0.8798828125}, {"start": 353.92, "end": 354.5, "word": " other", "probability": 0.69580078125}, {"start": 354.5, "end": 354.5, "word": " lens", "probability": 0.919921875}, {"start": 354.5, "end": 354.72, "word": " which", "probability": 0.66748046875}, {"start": 354.72, "end": 354.86, "word": " is", "probability": 0.9375}, {"start": 354.86, "end": 354.94, "word": " the", "probability": 0.80224609375}, {"start": 354.94, "end": 355.1, "word": " image", "probability": 0.28564453125}, {"start": 355.1, "end": 355.24, "word": " of", "probability": 0.9609375}, {"start": 355.24, "end": 355.32, "word": " the", "probability": 0.9150390625}, {"start": 355.32, "end": 355.94, "word": " first", "probability": 0.6904296875}, {"start": 355.94, "end": 355.94, "word": " lens", "probability": 0.87353515625}, {"start": 355.94, "end": 356.72, "word": " but", "probability": 0.64990234375}, {"start": 356.72, "end": 356.92, "word": " it", "probability": 0.70703125}, {"start": 356.92, "end": 357.02, "word": " is", "probability": 0.697265625}, {"start": 357.02, "end": 357.18, "word": " on", "probability": 0.78759765625}, {"start": 357.18, "end": 357.32, "word": " its", "probability": 0.59326171875}, {"start": 357.32, "end": 357.64, "word": " right", "probability": 0.9072265625}, {"start": 357.64, "end": 358.38, "word": " which", "probability": 0.12890625}, {"start": 358.38, "end": 358.54, "word": " means", "probability": 0.9072265625}, {"start": 358.54, "end": 358.64, "word": " that", "probability": 0.424072265625}, {"start": 358.64, "end": 358.8, "word": " the", "probability": 0.454345703125}, {"start": 358.8, "end": 359.08, "word": " rays", "probability": 0.720703125}, {"start": 359.08, "end": 359.56, "word": " before", "probability": 0.77978515625}, {"start": 359.56, "end": 359.96, "word": " they", "probability": 0.344970703125}, {"start": 359.96, "end": 360.12, "word": " go", "probability": 0.484375}, {"start": 360.12, "end": 360.26, "word": " and", "probability": 0.4384765625}, {"start": 360.26, "end": 360.56, "word": " form", "probability": 0.65576171875}, {"start": 360.56, "end": 360.78, "word": " this", "probability": 0.8125}, {"start": 360.78, "end": 361.02, "word": " image", "probability": 0.73193359375}, {"start": 361.02, "end": 361.38, "word": " which", "probability": 0.73974609375}, {"start": 361.38, "end": 361.52, "word": " is", "probability": 0.93310546875}, {"start": 361.52, "end": 361.66, "word": " the", "probability": 0.88916015625}, {"start": 361.66, "end": 361.98, "word": " object", "probability": 0.94482421875}, {"start": 361.98, "end": 362.16, "word": " of", "probability": 0.9541015625}, {"start": 362.16, "end": 362.26, "word": " the", "probability": 0.89208984375}, {"start": 362.26, "end": 362.74, "word": " other", "probability": 0.544921875}, {"start": 362.74, "end": 362.74, "word": " lens", "probability": 0.923828125}, {"start": 362.74, "end": 362.98, "word": " will", "probability": 0.483642578125}, {"start": 362.98, "end": 363.48, "word": " collide", "probability": 0.599609375}, {"start": 363.48, "end": 363.64, "word": " in", "probability": 0.6357421875}, {"start": 363.64, "end": 363.78, "word": " the", "probability": 0.86376953125}, {"start": 363.78, "end": 364.04, "word": " minus", "probability": 0.85986328125}, {"start": 364.04, "end": 364.5, "word": " lens", "probability": 0.86279296875}, {"start": 364.5, "end": 365.32, "word": " which", "probability": 0.3798828125}, {"start": 365.32, "end": 366.28, "word": " is", "probability": 0.93212890625}, {"start": 366.28, "end": 367.04, "word": " convergent", "probability": 0.848388671875}, {"start": 367.04, "end": 367.22, "word": " which", "probability": 0.25390625}, {"start": 367.22, "end": 367.28, "word": " means", "probability": 0.54248046875}, {"start": 367.28, "end": 367.74, "word": " virtual", "probability": 0.68408203125}, {"start": 367.74, "end": 368.44, "word": " object", "probability": 0.91455078125}, {"start": 368.44, "end": 368.88, "word": " virtual", "probability": 0.65283203125}, {"start": 368.88, "end": 369.88, "word": " object", "probability": 0.96826171875}, {"start": 369.88, "end": 371.42, "word": " so", "probability": 0.346435546875}, {"start": 371.42, "end": 372.22, "word": " this", "probability": 0.3828125}, {"start": 372.22, "end": 372.78, "word": " speech", "probability": 0.5517578125}, {"start": 372.78, "end": 373.12, "word": " we", "probability": 0.65966796875}, {"start": 373.12, "end": 373.3, "word": " want", "probability": 0.64697265625}, {"start": 373.3, "end": 373.4, "word": " to", "probability": 0.96484375}, {"start": 373.4, "end": 373.6, "word": " see", "probability": 0.88232421875}, {"start": 373.6, "end": 374.06, "word": " what", "probability": 0.92236328125}, {"start": 374.06, "end": 374.84, "word": " it", "probability": 0.51025390625}, {"start": 374.84, "end": 375.0, "word": " wants", "probability": 0.28369140625}, {"start": 375.0, "end": 375.04, "word": " to", "probability": 0.96533203125}, {"start": 375.04, "end": 375.22, "word": " do", "probability": 0.9560546875}], "temperature": 1.0}, {"id": 14, "seek": 39262, "start": 376.7, "end": 392.62, "text": "is a virtual object we say you", "tokens": [271, 257, 6374, 2657, 321, 584, 291], "avg_logprob": -0.765625, "compression_ratio": 0.7894736842105263, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 376.7, "end": 376.98, "word": "is", "probability": 0.469970703125}, {"start": 376.98, "end": 377.14, "word": " a", "probability": 0.640625}, {"start": 377.14, "end": 377.52, "word": " virtual", "probability": 0.8896484375}, {"start": 377.52, "end": 378.4, "word": " object", "probability": 0.95849609375}, {"start": 378.4, "end": 392.04, "word": " we", "probability": 0.26318359375}, {"start": 392.04, "end": 392.28, "word": " say", "probability": 0.564453125}, {"start": 392.28, "end": 392.62, "word": " you", "probability": 0.3955078125}], "temperature": 1.0}, {"id": 15, "seek": 42402, "start": 397.82, "end": 424.02, "text": "the light will reach the surface of the negative lens plus N over O why plus? because the light is going to form the first image and hit the second lens so it is a virtual object U equals plus N over O equals plus one over O which is ten centimeters which is the object which is the first image of the lens which is the object of the second lens which is ten centimeters away from it", "tokens": [3322, 1442, 486, 2524, 264, 3753, 295, 264, 3671, 6765, 1804, 426, 670, 422, 983, 1804, 30, 570, 264, 1442, 307, 516, 281, 1254, 264, 700, 3256, 293, 2045, 264, 1150, 6765, 370, 309, 307, 257, 6374, 2657, 624, 6915, 1804, 426, 670, 422, 6915, 1804, 472, 670, 422, 597, 307, 2064, 23300, 597, 307, 264, 2657, 597, 307, 264, 700, 3256, 295, 264, 6765, 597, 307, 264, 2657, 295, 264, 1150, 6765, 597, 307, 2064, 23300, 1314, 490, 309], "avg_logprob": -0.4529321046523106, "compression_ratio": 2.092896174863388, "no_speech_prob": 8.392333984375e-05, "words": [{"start": 397.82, "end": 398.34, "word": "the", "probability": 0.06414794921875}, {"start": 398.34, "end": 398.46, "word": " light", "probability": 0.56640625}, {"start": 398.46, "end": 398.66, "word": " will", "probability": 0.611328125}, {"start": 398.66, "end": 399.02, "word": " reach", "probability": 0.5615234375}, {"start": 399.02, "end": 399.68, "word": " the", "probability": 0.66259765625}, {"start": 399.68, "end": 399.86, "word": " surface", "probability": 0.446533203125}, {"start": 399.86, "end": 400.0, "word": " of", "probability": 0.93798828125}, {"start": 400.0, "end": 400.06, "word": " the", "probability": 0.77099609375}, {"start": 400.06, "end": 400.68, "word": " negative", "probability": 0.10809326171875}, {"start": 400.68, "end": 400.7, "word": " lens", "probability": 0.54541015625}, {"start": 400.7, "end": 401.42, "word": " plus", "probability": 0.34619140625}, {"start": 401.42, "end": 401.78, "word": " N", "probability": 0.466552734375}, {"start": 401.78, "end": 401.98, "word": " over", "probability": 0.2607421875}, {"start": 401.98, "end": 402.14, "word": " O", "probability": 0.97998046875}, {"start": 402.14, "end": 402.5, "word": " why", "probability": 0.3271484375}, {"start": 402.5, "end": 402.92, "word": " plus?", "probability": 0.75146484375}, {"start": 403.44, "end": 403.96, "word": " because", "probability": 0.75439453125}, {"start": 403.96, "end": 404.16, "word": " the", "probability": 0.794921875}, {"start": 404.16, "end": 404.3, "word": " light", "probability": 0.873046875}, {"start": 404.3, "end": 404.4, "word": " is", "probability": 0.34765625}, {"start": 404.4, "end": 404.62, "word": " going", "probability": 0.80908203125}, {"start": 404.62, "end": 404.72, "word": " to", "probability": 0.95556640625}, {"start": 404.72, "end": 405.04, "word": " form", "probability": 0.52294921875}, {"start": 405.04, "end": 405.22, "word": " the", "probability": 0.85595703125}, {"start": 405.22, "end": 405.66, "word": " first", "probability": 0.765625}, {"start": 405.66, "end": 405.66, "word": " image", "probability": 0.5283203125}, {"start": 405.66, "end": 405.86, "word": " and", "probability": 0.4560546875}, {"start": 405.86, "end": 406.24, "word": " hit", "probability": 0.1990966796875}, {"start": 406.24, "end": 406.48, "word": " the", "probability": 0.892578125}, {"start": 406.48, "end": 407.1, "word": " second", "probability": 0.78955078125}, {"start": 407.1, "end": 407.1, "word": " lens", "probability": 0.72705078125}, {"start": 407.1, "end": 407.34, "word": " so", "probability": 0.2144775390625}, {"start": 407.34, "end": 407.36, "word": " it", "probability": 0.701171875}, {"start": 407.36, "end": 407.36, "word": " is", "probability": 0.52001953125}, {"start": 407.36, "end": 407.52, "word": " a", "probability": 0.92724609375}, {"start": 407.52, "end": 407.78, "word": " virtual", "probability": 0.873046875}, {"start": 407.78, "end": 408.4, "word": " object", "probability": 0.9677734375}, {"start": 408.4, "end": 409.26, "word": " U", "probability": 0.70458984375}, {"start": 409.26, "end": 409.7, "word": " equals", "probability": 0.392822265625}, {"start": 409.7, "end": 410.02, "word": " plus", "probability": 0.6240234375}, {"start": 410.02, "end": 410.78, "word": " N", "probability": 0.9365234375}, {"start": 410.78, "end": 411.0, "word": " over", "probability": 0.853515625}, {"start": 411.0, "end": 411.26, "word": " O", "probability": 0.9931640625}, {"start": 411.26, "end": 411.84, "word": " equals", "probability": 0.487060546875}, {"start": 411.84, "end": 413.9, "word": " plus", "probability": 0.83984375}, {"start": 413.9, "end": 414.54, "word": " one", "probability": 0.473388671875}, {"start": 414.54, "end": 415.68, "word": " over", "probability": 0.8115234375}, {"start": 415.68, "end": 416.06, "word": " O", "probability": 0.97998046875}, {"start": 416.06, "end": 416.58, "word": " which", "probability": 0.61669921875}, {"start": 416.58, "end": 416.6, "word": " is", "probability": 0.82080078125}, {"start": 416.6, "end": 416.92, "word": " ten", "probability": 0.60888671875}, {"start": 416.92, "end": 417.4, "word": " centimeters", "probability": 0.80126953125}, {"start": 417.4, "end": 418.3, "word": " which", "probability": 0.423095703125}, {"start": 418.3, "end": 418.32, "word": " is", "probability": 0.85498046875}, {"start": 418.32, "end": 418.42, "word": " the", "probability": 0.80322265625}, {"start": 418.42, "end": 418.94, "word": " object", "probability": 0.81201171875}, {"start": 418.94, "end": 419.2, "word": " which", "probability": 0.297607421875}, {"start": 419.2, "end": 419.28, "word": " is", "probability": 0.9140625}, {"start": 419.28, "end": 419.32, "word": " the", "probability": 0.873046875}, {"start": 419.32, "end": 419.5, "word": " first", "probability": 0.4052734375}, {"start": 419.5, "end": 419.5, "word": " image", "probability": 0.7158203125}, {"start": 419.5, "end": 419.52, "word": " of", "probability": 0.90576171875}, {"start": 419.52, "end": 419.64, "word": " the", "probability": 0.890625}, {"start": 419.64, "end": 419.96, "word": " lens", "probability": 0.76708984375}, {"start": 419.96, "end": 420.66, "word": " which", "probability": 0.52001953125}, {"start": 420.66, "end": 420.88, "word": " is", "probability": 0.8876953125}, {"start": 420.88, "end": 421.14, "word": " the", "probability": 0.44287109375}, {"start": 421.14, "end": 421.4, "word": " object", "probability": 0.90869140625}, {"start": 421.4, "end": 421.58, "word": " of", "probability": 0.87353515625}, {"start": 421.58, "end": 421.64, "word": " the", "probability": 0.89892578125}, {"start": 421.64, "end": 422.36, "word": " second", "probability": 0.8291015625}, {"start": 422.36, "end": 422.36, "word": " lens", "probability": 0.91650390625}, {"start": 422.36, "end": 422.78, "word": " which", "probability": 0.7412109375}, {"start": 422.78, "end": 422.82, "word": " is", "probability": 0.892578125}, {"start": 422.82, "end": 423.5, "word": " ten", "probability": 0.62353515625}, {"start": 423.5, "end": 424.02, "word": " centimeters", "probability": 0.90869140625}, {"start": 424.02, "end": 424.02, "word": " away", "probability": 0.7626953125}, {"start": 424.02, "end": 424.02, "word": " from", "probability": 0.71630859375}, {"start": 424.02, "end": 424.02, "word": " it", "probability": 0.736328125}], "temperature": 1.0}, {"id": 16, "seek": 45566, "start": 426.8, "end": 455.66, "text": "It is equal to plus ten diopters. So, the light will reach a frequency of plus ten diopters. Plus ten diopters on the front surface of the minus lens. It will reach a frequency of plus ten diopters. How much frequency will it reach?", "tokens": [3522, 307, 2681, 281, 1804, 2064, 1026, 404, 1559, 13, 407, 11, 264, 1442, 486, 2524, 257, 7893, 295, 1804, 2064, 1026, 404, 1559, 13, 7721, 2064, 1026, 404, 1559, 322, 264, 1868, 3753, 295, 264, 3175, 6765, 13, 467, 486, 2524, 257, 7893, 295, 1804, 2064, 1026, 404, 1559, 13, 1012, 709, 7893, 486, 309, 2524, 30], "avg_logprob": -0.4653072145025609, "compression_ratio": 1.8709677419354838, "no_speech_prob": 0.0, "words": [{"start": 426.8, "end": 427.04, "word": "It", "probability": 0.1226806640625}, {"start": 427.04, "end": 427.18, "word": " is", "probability": 0.26708984375}, {"start": 427.18, "end": 427.5, "word": " equal", "probability": 0.576171875}, {"start": 427.5, "end": 428.54, "word": " to", "probability": 0.9482421875}, {"start": 428.54, "end": 428.96, "word": " plus", "probability": 0.289306640625}, {"start": 428.96, "end": 429.44, "word": " ten", "probability": 0.442626953125}, {"start": 429.44, "end": 430.66, "word": " diopters.", "probability": 0.763671875}, {"start": 431.7, "end": 432.1, "word": " So,", "probability": 0.387939453125}, {"start": 436.86, "end": 439.52, "word": " the", "probability": 0.471923828125}, {"start": 439.52, "end": 439.68, "word": " light", "probability": 0.7900390625}, {"start": 439.68, "end": 439.92, "word": " will", "probability": 0.6943359375}, {"start": 439.92, "end": 440.22, "word": " reach", "probability": 0.478271484375}, {"start": 440.22, "end": 440.68, "word": " a", "probability": 0.2293701171875}, {"start": 440.68, "end": 441.24, "word": " frequency", "probability": 0.252685546875}, {"start": 441.24, "end": 441.56, "word": " of", "probability": 0.395751953125}, {"start": 441.56, "end": 441.88, "word": " plus", "probability": 0.86279296875}, {"start": 441.88, "end": 442.36, "word": " ten", "probability": 0.896484375}, {"start": 442.36, "end": 443.08, "word": " diopters.", "probability": 0.9459635416666666}, {"start": 444.2, "end": 444.96, "word": " Plus", "probability": 0.481201171875}, {"start": 444.96, "end": 445.48, "word": " ten", "probability": 0.91650390625}, {"start": 445.48, "end": 446.28, "word": " diopters", "probability": 0.94921875}, {"start": 446.28, "end": 448.08, "word": " on", "probability": 0.498046875}, {"start": 448.08, "end": 448.2, "word": " the", "probability": 0.8603515625}, {"start": 448.2, "end": 448.74, "word": " front", "probability": 0.5458984375}, {"start": 448.74, "end": 448.88, "word": " surface", "probability": 0.387451171875}, {"start": 448.88, "end": 449.04, "word": " of", "probability": 0.95263671875}, {"start": 449.04, "end": 449.16, "word": " the", "probability": 0.8837890625}, {"start": 449.16, "end": 450.3, "word": " minus", "probability": 0.281982421875}, {"start": 450.3, "end": 450.36, "word": " lens.", "probability": 0.65087890625}, {"start": 451.1, "end": 451.86, "word": " It", "probability": 0.6845703125}, {"start": 451.86, "end": 452.0, "word": " will", "probability": 0.82568359375}, {"start": 452.0, "end": 452.22, "word": " reach", "probability": 0.75146484375}, {"start": 452.22, "end": 452.44, "word": " a", "probability": 0.8720703125}, {"start": 452.44, "end": 452.8, "word": " frequency", "probability": 0.91357421875}, {"start": 452.8, "end": 453.1, "word": " of", "probability": 0.8134765625}, {"start": 453.1, "end": 453.36, "word": " plus", "probability": 0.93017578125}, {"start": 453.36, "end": 453.76, "word": " ten", "probability": 0.93603515625}, {"start": 453.76, "end": 454.28, "word": " diopters.", "probability": 0.9552408854166666}, {"start": 454.36, "end": 454.6, "word": " How", "probability": 0.222900390625}, {"start": 454.6, "end": 454.84, "word": " much", "probability": 0.64208984375}, {"start": 454.84, "end": 455.32, "word": " frequency", "probability": 0.8037109375}, {"start": 455.32, "end": 455.66, "word": " will", "probability": 0.418701171875}, {"start": 455.66, "end": 455.66, "word": " it", "probability": 0.67041015625}, {"start": 455.66, "end": 455.66, "word": " reach?", "probability": 0.493408203125}], "temperature": 1.0}, {"id": 17, "seek": 48067, "start": 456.91, "end": 480.67, "text": "we say u plus p equals v u plus ten this is greater power minus five this is greater minus five this is greater distance minus five this is greater", "tokens": [826, 584, 344, 1804, 280, 6915, 371, 344, 1804, 2064, 341, 307, 5044, 1347, 3175, 1732, 341, 307, 5044, 3175, 1732, 341, 307, 5044, 4560, 3175, 1732, 341, 307, 5044], "avg_logprob": -0.42263105992347966, "compression_ratio": 1.9090909090909092, "no_speech_prob": 3.159046173095703e-06, "words": [{"start": 456.91, "end": 457.07, "word": "we", "probability": 0.326416015625}, {"start": 457.07, "end": 457.37, "word": " say", "probability": 0.580078125}, {"start": 457.37, "end": 457.77, "word": " u", "probability": 0.4462890625}, {"start": 457.77, "end": 458.89, "word": " plus", "probability": 0.2359619140625}, {"start": 458.89, "end": 459.53, "word": " p", "probability": 0.5078125}, {"start": 459.53, "end": 461.73, "word": " equals", "probability": 0.6103515625}, {"start": 461.73, "end": 462.67, "word": " v", "probability": 0.861328125}, {"start": 462.67, "end": 464.83, "word": " u", "probability": 0.462890625}, {"start": 464.83, "end": 465.15, "word": " plus", "probability": 0.859375}, {"start": 465.15, "end": 465.57, "word": " ten", "probability": 0.4873046875}, {"start": 465.57, "end": 465.75, "word": " this", "probability": 0.210693359375}, {"start": 465.75, "end": 465.77, "word": " is", "probability": 0.67138671875}, {"start": 465.77, "end": 466.11, "word": " greater", "probability": 0.4638671875}, {"start": 466.11, "end": 468.81, "word": " power", "probability": 0.48876953125}, {"start": 468.81, "end": 470.39, "word": " minus", "probability": 0.955078125}, {"start": 470.39, "end": 470.87, "word": " five", "probability": 0.89306640625}, {"start": 470.87, "end": 471.11, "word": " this", "probability": 0.810546875}, {"start": 471.11, "end": 471.25, "word": " is", "probability": 0.935546875}, {"start": 471.25, "end": 471.55, "word": " greater", "probability": 0.87060546875}, {"start": 471.55, "end": 474.79, "word": " minus", "probability": 0.5458984375}, {"start": 474.79, "end": 475.35, "word": " five", "probability": 0.90673828125}, {"start": 475.35, "end": 475.59, "word": " this", "probability": 0.89599609375}, {"start": 475.59, "end": 475.71, "word": " is", "probability": 0.9462890625}, {"start": 475.71, "end": 476.01, "word": " greater", "probability": 0.9091796875}, {"start": 476.01, "end": 477.37, "word": " distance", "probability": 0.140869140625}, {"start": 477.37, "end": 478.55, "word": " minus", "probability": 0.85302734375}, {"start": 478.55, "end": 479.19, "word": " five", "probability": 0.90771484375}, {"start": 479.19, "end": 480.37, "word": " this", "probability": 0.89794921875}, {"start": 480.37, "end": 480.57, "word": " is", "probability": 0.94384765625}, {"start": 480.57, "end": 480.67, "word": " greater", "probability": 0.91162109375}], "temperature": 1.0}, {"id": 18, "seek": 50881, "start": 482.61, "end": 508.81, "text": "Minus is equal to V So, V is equal to plus five diodes I Let's enlarge the line a little bit because we tried to finish it And U and V will give them color", "tokens": [30031, 301, 307, 2681, 281, 691, 407, 11, 691, 307, 2681, 281, 1804, 1732, 1026, 4789, 286, 961, 311, 31976, 432, 264, 1622, 257, 707, 857, 570, 321, 3031, 281, 2413, 309, 400, 624, 293, 691, 486, 976, 552, 2017], "avg_logprob": -0.665015243902439, "compression_ratio": 1.28099173553719, "no_speech_prob": 1.609325408935547e-05, "words": [{"start": 482.61, "end": 483.33000000000004, "word": "Minus", "probability": 0.488006591796875}, {"start": 483.33000000000004, "end": 484.05, "word": " is", "probability": 0.105712890625}, {"start": 484.05, "end": 484.55, "word": " equal", "probability": 0.708984375}, {"start": 484.55, "end": 485.47, "word": " to", "probability": 0.9697265625}, {"start": 485.47, "end": 485.81, "word": " V", "probability": 0.62109375}, {"start": 485.81, "end": 487.17, "word": " So,", "probability": 0.388916015625}, {"start": 487.31, "end": 487.53, "word": " V", "probability": 0.89501953125}, {"start": 487.53, "end": 489.15, "word": " is", "probability": 0.67431640625}, {"start": 489.15, "end": 489.49, "word": " equal", "probability": 0.74365234375}, {"start": 489.49, "end": 490.27, "word": " to", "probability": 0.96630859375}, {"start": 490.27, "end": 490.85, "word": " plus", "probability": 0.48876953125}, {"start": 490.85, "end": 491.51, "word": " five", "probability": 0.427978515625}, {"start": 491.51, "end": 492.19, "word": " diodes", "probability": 0.5821533203125}, {"start": 492.19, "end": 496.03, "word": " I", "probability": 0.771484375}, {"start": 496.03, "end": 498.95, "word": " Let's", "probability": 0.52764892578125}, {"start": 498.95, "end": 499.33, "word": " enlarge", "probability": 0.628173828125}, {"start": 499.33, "end": 499.51, "word": " the", "probability": 0.70458984375}, {"start": 499.51, "end": 499.75, "word": " line", "probability": 0.7158203125}, {"start": 499.75, "end": 499.89, "word": " a", "probability": 0.48779296875}, {"start": 499.89, "end": 500.05, "word": " little", "probability": 0.66943359375}, {"start": 500.05, "end": 500.55, "word": " bit", "probability": 0.48291015625}, {"start": 500.55, "end": 500.85, "word": " because", "probability": 0.2281494140625}, {"start": 500.85, "end": 501.11, "word": " we", "probability": 0.8046875}, {"start": 501.11, "end": 501.35, "word": " tried", "probability": 0.2431640625}, {"start": 501.35, "end": 501.75, "word": " to", "probability": 0.8857421875}, {"start": 501.75, "end": 501.97, "word": " finish", "probability": 0.513671875}, {"start": 501.97, "end": 504.83, "word": " it", "probability": 0.400390625}, {"start": 504.83, "end": 507.31, "word": " And", "probability": 0.5615234375}, {"start": 507.31, "end": 507.77, "word": " U", "probability": 0.266357421875}, {"start": 507.77, "end": 507.95, "word": " and", "probability": 0.9375}, {"start": 507.95, "end": 508.13, "word": " V", "probability": 0.9931640625}, {"start": 508.13, "end": 508.27, "word": " will", "probability": 0.183837890625}, {"start": 508.27, "end": 508.45, "word": " give", "probability": 0.38232421875}, {"start": 508.45, "end": 508.61, "word": " them", "probability": 0.73046875}, {"start": 508.61, "end": 508.81, "word": " color", "probability": 0.654296875}], "temperature": 1.0}, {"id": 19, "seek": 54445, "start": 518.67, "end": 544.45, "text": "So, the light reached with plus 10 diopters and went out with plus 5 diopters As long as it has a plus output, it is also convergent and it will make a real image Real image where it is I is equal to condition on V and it is equal to let's continue with", "tokens": [6455, 11, 264, 1442, 6488, 365, 1804, 1266, 1026, 404, 1559, 293, 1437, 484, 365, 1804, 1025, 1026, 404, 1559, 1018, 938, 382, 309, 575, 257, 1804, 5598, 11, 309, 307, 611, 9652, 6930, 293, 309, 486, 652, 257, 957, 3256, 8467, 3256, 689, 309, 307, 286, 307, 2681, 281, 4188, 322, 691, 293, 309, 307, 2681, 281, 718, 311, 2354, 365], "avg_logprob": -0.6830356934713939, "compression_ratio": 1.6114649681528663, "no_speech_prob": 4.351139068603516e-06, "words": [{"start": 518.67, "end": 519.03, "word": "So,", "probability": 0.2445068359375}, {"start": 519.05, "end": 519.21, "word": " the", "probability": 0.521484375}, {"start": 519.21, "end": 519.37, "word": " light", "probability": 0.72509765625}, {"start": 519.37, "end": 519.73, "word": " reached", "probability": 0.25439453125}, {"start": 519.73, "end": 520.73, "word": " with", "probability": 0.27392578125}, {"start": 520.73, "end": 520.73, "word": " plus", "probability": 0.07696533203125}, {"start": 520.73, "end": 521.13, "word": " 10", "probability": 0.2418212890625}, {"start": 521.13, "end": 521.75, "word": " diopters", "probability": 0.680908203125}, {"start": 521.75, "end": 521.83, "word": " and", "probability": 0.623046875}, {"start": 521.83, "end": 522.33, "word": " went", "probability": 0.340576171875}, {"start": 522.33, "end": 522.53, "word": " out", "probability": 0.732421875}, {"start": 522.53, "end": 522.61, "word": " with", "probability": 0.8583984375}, {"start": 522.61, "end": 523.51, "word": " plus", "probability": 0.63427734375}, {"start": 523.51, "end": 523.83, "word": " 5", "probability": 0.93017578125}, {"start": 523.83, "end": 524.47, "word": " diopters", "probability": 0.9288736979166666}, {"start": 524.47, "end": 525.17, "word": " As", "probability": 0.2235107421875}, {"start": 525.17, "end": 525.19, "word": " long", "probability": 0.4931640625}, {"start": 525.19, "end": 525.35, "word": " as", "probability": 0.96044921875}, {"start": 525.35, "end": 526.19, "word": " it", "probability": 0.283447265625}, {"start": 526.19, "end": 526.19, "word": " has", "probability": 0.1727294921875}, {"start": 526.19, "end": 526.59, "word": " a", "probability": 0.362060546875}, {"start": 526.59, "end": 527.93, "word": " plus", "probability": 0.51220703125}, {"start": 527.93, "end": 527.93, "word": " output,", "probability": 0.4638671875}, {"start": 527.93, "end": 528.43, "word": " it", "probability": 0.6728515625}, {"start": 528.43, "end": 528.59, "word": " is", "probability": 0.69287109375}, {"start": 528.59, "end": 528.59, "word": " also", "probability": 0.407470703125}, {"start": 528.59, "end": 529.37, "word": " convergent", "probability": 0.896240234375}, {"start": 529.37, "end": 529.97, "word": " and", "probability": 0.70263671875}, {"start": 529.97, "end": 530.05, "word": " it", "probability": 0.2724609375}, {"start": 530.05, "end": 530.19, "word": " will", "probability": 0.5546875}, {"start": 530.19, "end": 532.67, "word": " make", "probability": 0.301513671875}, {"start": 532.67, "end": 532.81, "word": " a", "probability": 0.55419921875}, {"start": 532.81, "end": 533.03, "word": " real", "probability": 0.87744140625}, {"start": 533.03, "end": 533.43, "word": " image", "probability": 0.916015625}, {"start": 533.43, "end": 535.07, "word": " Real", "probability": 0.396240234375}, {"start": 535.07, "end": 535.55, "word": " image", "probability": 0.90380859375}, {"start": 535.55, "end": 536.09, "word": " where", "probability": 0.3662109375}, {"start": 536.09, "end": 536.29, "word": " it", "probability": 0.32275390625}, {"start": 536.29, "end": 536.61, "word": " is", "probability": 0.67529296875}, {"start": 536.61, "end": 537.11, "word": " I", "probability": 0.333740234375}, {"start": 537.11, "end": 537.33, "word": " is", "probability": 0.318359375}, {"start": 537.33, "end": 537.67, "word": " equal", "probability": 0.7919921875}, {"start": 537.67, "end": 537.83, "word": " to", "probability": 0.92333984375}, {"start": 537.83, "end": 538.15, "word": " condition", "probability": 0.11419677734375}, {"start": 538.15, "end": 538.59, "word": " on", "probability": 0.77197265625}, {"start": 538.59, "end": 538.95, "word": " V", "probability": 0.859375}, {"start": 538.95, "end": 540.93, "word": " and", "probability": 0.2303466796875}, {"start": 540.93, "end": 541.03, "word": " it", "probability": 0.411865234375}, {"start": 541.03, "end": 541.15, "word": " is", "probability": 0.63525390625}, {"start": 541.15, "end": 541.47, "word": " equal", "probability": 0.88427734375}, {"start": 541.47, "end": 542.75, "word": " to", "probability": 0.6259765625}, {"start": 542.75, "end": 543.89, "word": " let's", "probability": 0.489715576171875}, {"start": 543.89, "end": 544.25, "word": " continue", "probability": 0.75048828125}, {"start": 544.25, "end": 544.45, "word": " with", "probability": 0.82666015625}], "temperature": 1.0}, {"id": 20, "seek": 57479, "start": 553.3, "end": 574.8, "text": "ويساوي 1 على plus 1 على plus 5 diopter ويساوي plus 2 من 10 متر ويساوي plus 20 cm", "tokens": [2407, 1829, 3794, 995, 45865, 502, 15844, 1804, 502, 15844, 1804, 1025, 1026, 404, 391, 4032, 1829, 3794, 995, 45865, 1804, 568, 9154, 1266, 44650, 2288, 4032, 1829, 3794, 995, 45865, 1804, 945, 14668], "avg_logprob": -0.2500000068119594, "compression_ratio": 1.5138888888888888, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 553.3, "end": 553.98, "word": "ويساوي", "probability": 0.6498779296875}, {"start": 553.98, "end": 554.34, "word": " 1", "probability": 0.51953125}, {"start": 554.34, "end": 554.94, "word": " على", "probability": 0.491455078125}, {"start": 554.94, "end": 556.62, "word": " plus", "probability": 0.59228515625}, {"start": 556.62, "end": 557.74, "word": " 1", "probability": 0.6728515625}, {"start": 557.74, "end": 558.46, "word": " على", "probability": 0.68310546875}, {"start": 558.46, "end": 560.12, "word": " plus", "probability": 0.9482421875}, {"start": 560.12, "end": 561.56, "word": " 5", "probability": 0.95654296875}, {"start": 561.56, "end": 562.24, "word": " diopter", "probability": 0.7770182291666666}, {"start": 562.24, "end": 564.26, "word": " ويساوي", "probability": 0.94970703125}, {"start": 564.26, "end": 566.92, "word": " plus", "probability": 0.9736328125}, {"start": 566.92, "end": 567.42, "word": " 2", "probability": 0.96484375}, {"start": 567.42, "end": 567.76, "word": " من", "probability": 0.9560546875}, {"start": 567.76, "end": 568.06, "word": " 10", "probability": 0.85400390625}, {"start": 568.06, "end": 569.56, "word": " متر", "probability": 0.6378173828125}, {"start": 569.56, "end": 571.48, "word": " ويساوي", "probability": 0.96357421875}, {"start": 571.48, "end": 573.1, "word": " plus", "probability": 0.974609375}, {"start": 573.1, "end": 573.98, "word": " 20", "probability": 0.97216796875}, {"start": 573.98, "end": 574.8, "word": " cm", "probability": 0.55029296875}], "temperature": 1.0}, {"id": 21, "seek": 60137, "start": 575.99, "end": 601.37, "text": "then the image will be on the right side of the lens which is minus 20cm then we come to the transphase magnification which is equal to", "tokens": [19096, 264, 3256, 486, 312, 322, 264, 558, 1252, 295, 264, 6765, 597, 307, 3175, 945, 15210, 550, 321, 808, 281, 264, 1145, 43331, 4944, 3774, 597, 307, 2681, 281], "avg_logprob": -0.7111895084381104, "compression_ratio": 1.35, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 575.99, "end": 576.37, "word": "then", "probability": 0.181396484375}, {"start": 576.37, "end": 576.53, "word": " the", "probability": 0.57568359375}, {"start": 576.53, "end": 576.77, "word": " image", "probability": 0.44287109375}, {"start": 576.77, "end": 577.03, "word": " will", "probability": 0.3017578125}, {"start": 577.03, "end": 577.19, "word": " be", "probability": 0.478759765625}, {"start": 577.19, "end": 577.37, "word": " on", "probability": 0.33935546875}, {"start": 577.37, "end": 577.47, "word": " the", "probability": 0.796875}, {"start": 577.47, "end": 577.59, "word": " right", "probability": 0.8251953125}, {"start": 577.59, "end": 577.71, "word": " side", "probability": 0.2403564453125}, {"start": 577.71, "end": 577.83, "word": " of", "probability": 0.92236328125}, {"start": 577.83, "end": 577.83, "word": " the", "probability": 0.744140625}, {"start": 577.83, "end": 578.15, "word": " lens", "probability": 0.214111328125}, {"start": 578.15, "end": 578.33, "word": " which", "probability": 0.1436767578125}, {"start": 578.33, "end": 578.33, "word": " is", "probability": 0.787109375}, {"start": 578.33, "end": 578.69, "word": " minus", "probability": 0.249755859375}, {"start": 578.69, "end": 580.77, "word": " 20cm", "probability": 0.6336669921875}, {"start": 580.77, "end": 582.09, "word": " then", "probability": 0.1290283203125}, {"start": 582.09, "end": 596.99, "word": " we", "probability": 0.53466796875}, {"start": 596.99, "end": 597.09, "word": " come", "probability": 0.3154296875}, {"start": 597.09, "end": 597.23, "word": " to", "probability": 0.93701171875}, {"start": 597.23, "end": 597.33, "word": " the", "probability": 0.61376953125}, {"start": 597.33, "end": 597.93, "word": " transphase", "probability": 0.4454345703125}, {"start": 597.93, "end": 598.89, "word": " magnification", "probability": 0.96240234375}, {"start": 598.89, "end": 600.65, "word": " which", "probability": 0.363037109375}, {"start": 600.65, "end": 600.65, "word": " is", "probability": 0.66064453125}, {"start": 600.65, "end": 600.99, "word": " equal", "probability": 0.80712890625}, {"start": 600.99, "end": 601.37, "word": " to", "probability": 0.90966796875}], "temperature": 1.0}, {"id": 22, "seek": 63003, "start": 602.13, "end": 630.03, "text": "The image of this lens is 20 cm on its right Real image is 20 cm away from the negative lens Here is the distance", "tokens": [2278, 3256, 295, 341, 6765, 307, 945, 14668, 322, 1080, 558, 8467, 3256, 307, 945, 14668, 1314, 490, 264, 3671, 6765, 1692, 307, 264, 4560], "avg_logprob": -0.6117788644937369, "compression_ratio": 1.2282608695652173, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 602.13, "end": 602.45, "word": "The", "probability": 0.1837158203125}, {"start": 602.45, "end": 602.69, "word": " image", "probability": 0.37548828125}, {"start": 602.69, "end": 602.95, "word": " of", "probability": 0.8212890625}, {"start": 602.95, "end": 603.25, "word": " this", "probability": 0.7607421875}, {"start": 603.25, "end": 603.55, "word": " lens", "probability": 0.70166015625}, {"start": 603.55, "end": 603.77, "word": " is", "probability": 0.7373046875}, {"start": 603.77, "end": 604.35, "word": " 20", "probability": 0.80712890625}, {"start": 604.35, "end": 604.89, "word": " cm", "probability": 0.425048828125}, {"start": 604.89, "end": 605.11, "word": " on", "probability": 0.287353515625}, {"start": 605.11, "end": 605.23, "word": " its", "probability": 0.451416015625}, {"start": 605.23, "end": 605.53, "word": " right", "probability": 0.8916015625}, {"start": 605.53, "end": 607.13, "word": " Real", "probability": 0.1610107421875}, {"start": 607.13, "end": 608.89, "word": " image", "probability": 0.65234375}, {"start": 608.89, "end": 610.19, "word": " is", "probability": 0.2271728515625}, {"start": 610.19, "end": 623.95, "word": " 20", "probability": 0.81103515625}, {"start": 623.95, "end": 624.77, "word": " cm", "probability": 0.84716796875}, {"start": 624.77, "end": 625.93, "word": " away", "probability": 0.41845703125}, {"start": 625.93, "end": 626.45, "word": " from", "probability": 0.85791015625}, {"start": 626.45, "end": 626.65, "word": " the", "probability": 0.69775390625}, {"start": 626.65, "end": 627.77, "word": " negative", "probability": 0.326171875}, {"start": 627.77, "end": 627.91, "word": " lens", "probability": 0.7001953125}, {"start": 627.91, "end": 629.49, "word": " Here", "probability": 0.374267578125}, {"start": 629.49, "end": 629.63, "word": " is", "probability": 0.54443359375}, {"start": 629.63, "end": 629.63, "word": " the", "probability": 0.76220703125}, {"start": 629.63, "end": 630.03, "word": " distance", "probability": 0.86767578125}], "temperature": 1.0}, {"id": 23, "seek": 64792, "start": 633.11, "end": 647.93, "text": "10 cm and the distance between the body and its image is 10 cm this is the body of the minus lens and this is the image of the minus lens the image is 20 cm let's give it the same color", "tokens": [3279, 14668, 293, 264, 4560, 1296, 264, 1772, 293, 1080, 3256, 307, 1266, 14668, 341, 307, 264, 1772, 295, 264, 3175, 6765, 293, 341, 307, 264, 3256, 295, 264, 3175, 6765, 264, 3256, 307, 945, 14668, 718, 311, 976, 309, 264, 912, 2017], "avg_logprob": -0.4279119392687624, "compression_ratio": 1.6666666666666667, "no_speech_prob": 1.055002212524414e-05, "words": [{"start": 633.11, "end": 633.55, "word": "10", "probability": 0.54345703125}, {"start": 633.55, "end": 634.13, "word": " cm", "probability": 0.469970703125}, {"start": 634.13, "end": 634.49, "word": " and", "probability": 0.5380859375}, {"start": 634.49, "end": 634.63, "word": " the", "probability": 0.448974609375}, {"start": 634.63, "end": 634.97, "word": " distance", "probability": 0.76611328125}, {"start": 634.97, "end": 635.37, "word": " between", "probability": 0.80322265625}, {"start": 635.37, "end": 635.95, "word": " the", "probability": 0.541015625}, {"start": 635.95, "end": 636.23, "word": " body", "probability": 0.29638671875}, {"start": 636.23, "end": 636.45, "word": " and", "probability": 0.89892578125}, {"start": 636.45, "end": 636.73, "word": " its", "probability": 0.42333984375}, {"start": 636.73, "end": 636.73, "word": " image", "probability": 0.44580078125}, {"start": 636.73, "end": 636.89, "word": " is", "probability": 0.64697265625}, {"start": 636.89, "end": 637.11, "word": " 10", "probability": 0.93603515625}, {"start": 637.11, "end": 637.73, "word": " cm", "probability": 0.86669921875}, {"start": 637.73, "end": 638.57, "word": " this", "probability": 0.349609375}, {"start": 638.57, "end": 638.73, "word": " is", "probability": 0.86474609375}, {"start": 638.73, "end": 638.73, "word": " the", "probability": 0.740234375}, {"start": 638.73, "end": 638.89, "word": " body", "probability": 0.311279296875}, {"start": 638.89, "end": 639.01, "word": " of", "probability": 0.8876953125}, {"start": 639.01, "end": 639.51, "word": " the", "probability": 0.861328125}, {"start": 639.51, "end": 639.75, "word": " minus", "probability": 0.1888427734375}, {"start": 639.75, "end": 639.75, "word": " lens", "probability": 0.59326171875}, {"start": 639.75, "end": 640.07, "word": " and", "probability": 0.73388671875}, {"start": 640.07, "end": 640.31, "word": " this", "probability": 0.8671875}, {"start": 640.31, "end": 640.43, "word": " is", "probability": 0.90771484375}, {"start": 640.43, "end": 640.49, "word": " the", "probability": 0.83544921875}, {"start": 640.49, "end": 640.65, "word": " image", "probability": 0.56640625}, {"start": 640.65, "end": 640.77, "word": " of", "probability": 0.94970703125}, {"start": 640.77, "end": 640.89, "word": " the", "probability": 0.90478515625}, {"start": 640.89, "end": 641.93, "word": " minus", "probability": 0.8095703125}, {"start": 641.93, "end": 641.99, "word": " lens", "probability": 0.869140625}, {"start": 641.99, "end": 643.39, "word": " the", "probability": 0.499267578125}, {"start": 643.39, "end": 643.73, "word": " image", "probability": 0.48291015625}, {"start": 643.73, "end": 644.37, "word": " is", "probability": 0.75732421875}, {"start": 644.37, "end": 644.89, "word": " 20", "probability": 0.83349609375}, {"start": 644.89, "end": 645.77, "word": " cm", "probability": 0.8583984375}, {"start": 645.77, "end": 646.85, "word": " let's", "probability": 0.5521240234375}, {"start": 646.85, "end": 647.07, "word": " give", "probability": 0.548828125}, {"start": 647.07, "end": 647.23, "word": " it", "probability": 0.78466796875}, {"start": 647.23, "end": 647.33, "word": " the", "probability": 0.89453125}, {"start": 647.33, "end": 647.51, "word": " same", "probability": 0.89501953125}, {"start": 647.51, "end": 647.93, "word": " color", "probability": 0.8740234375}], "temperature": 1.0}, {"id": 24, "seek": 68534, "start": 657.16, "end": 685.34, "text": "of the minus lens because it's the image of the minus lens this is the image of the plus lens which is the body of the minus lens now we don't have anything in this square the example is complete but I still have to get the TM2 equals U over V equals plus ten diopters here we didn't write how much V is", "tokens": [2670, 264, 3175, 6765, 570, 309, 311, 264, 3256, 295, 264, 3175, 6765, 341, 307, 264, 3256, 295, 264, 1804, 6765, 597, 307, 264, 1772, 295, 264, 3175, 6765, 586, 321, 500, 380, 362, 1340, 294, 341, 3732, 264, 1365, 307, 3566, 457, 286, 920, 362, 281, 483, 264, 33550, 17, 6915, 624, 670, 691, 6915, 1804, 2064, 1026, 404, 1559, 510, 321, 994, 380, 2464, 577, 709, 691, 307], "avg_logprob": -0.47139085094693683, "compression_ratio": 1.7616279069767442, "no_speech_prob": 7.271766662597656e-06, "words": [{"start": 657.16, "end": 657.58, "word": "of", "probability": 0.10498046875}, {"start": 657.58, "end": 657.76, "word": " the", "probability": 0.66796875}, {"start": 657.76, "end": 658.4, "word": " minus", "probability": 0.2705078125}, {"start": 658.4, "end": 658.4, "word": " lens", "probability": 0.406494140625}, {"start": 658.4, "end": 658.64, "word": " because", "probability": 0.459228515625}, {"start": 658.64, "end": 658.86, "word": " it's", "probability": 0.4560546875}, {"start": 658.86, "end": 659.0, "word": " the", "probability": 0.429443359375}, {"start": 659.0, "end": 659.0, "word": " image", "probability": 0.370361328125}, {"start": 659.0, "end": 659.12, "word": " of", "probability": 0.9609375}, {"start": 659.12, "end": 659.58, "word": " the", "probability": 0.8564453125}, {"start": 659.58, "end": 659.8, "word": " minus", "probability": 0.83984375}, {"start": 659.8, "end": 659.8, "word": " lens", "probability": 0.8994140625}, {"start": 659.8, "end": 660.36, "word": " this", "probability": 0.375244140625}, {"start": 660.36, "end": 660.46, "word": " is", "probability": 0.826171875}, {"start": 660.46, "end": 660.54, "word": " the", "probability": 0.83251953125}, {"start": 660.54, "end": 660.66, "word": " image", "probability": 0.77490234375}, {"start": 660.66, "end": 660.84, "word": " of", "probability": 0.96240234375}, {"start": 660.84, "end": 660.9, "word": " the", "probability": 0.88623046875}, {"start": 660.9, "end": 661.56, "word": " plus", "probability": 0.7099609375}, {"start": 661.56, "end": 661.56, "word": " lens", "probability": 0.90185546875}, {"start": 661.56, "end": 661.84, "word": " which", "probability": 0.63330078125}, {"start": 661.84, "end": 662.04, "word": " is", "probability": 0.91064453125}, {"start": 662.04, "end": 662.12, "word": " the", "probability": 0.84716796875}, {"start": 662.12, "end": 662.32, "word": " body", "probability": 0.380859375}, {"start": 662.32, "end": 662.6, "word": " of", "probability": 0.9521484375}, {"start": 662.6, "end": 662.78, "word": " the", "probability": 0.87939453125}, {"start": 662.78, "end": 663.92, "word": " minus", "probability": 0.86669921875}, {"start": 663.92, "end": 663.92, "word": " lens", "probability": 0.92333984375}, {"start": 663.92, "end": 664.36, "word": " now", "probability": 0.56689453125}, {"start": 664.36, "end": 664.48, "word": " we", "probability": 0.64013671875}, {"start": 664.48, "end": 664.52, "word": " don't", "probability": 0.788818359375}, {"start": 664.52, "end": 664.94, "word": " have", "probability": 0.57666015625}, {"start": 664.94, "end": 665.66, "word": " anything", "probability": 0.5380859375}, {"start": 665.66, "end": 665.8, "word": " in", "probability": 0.87890625}, {"start": 665.8, "end": 666.1, "word": " this", "probability": 0.9013671875}, {"start": 666.1, "end": 666.54, "word": " square", "probability": 0.41064453125}, {"start": 666.54, "end": 667.82, "word": " the", "probability": 0.3642578125}, {"start": 667.82, "end": 668.16, "word": " example", "probability": 0.356201171875}, {"start": 668.16, "end": 668.16, "word": " is", "probability": 0.626953125}, {"start": 668.16, "end": 668.16, "word": " complete", "probability": 0.513671875}, {"start": 668.16, "end": 668.44, "word": " but", "probability": 0.6416015625}, {"start": 668.44, "end": 668.72, "word": " I", "probability": 0.83837890625}, {"start": 668.72, "end": 668.72, "word": " still", "probability": 0.40283203125}, {"start": 668.72, "end": 668.88, "word": " have", "probability": 0.7978515625}, {"start": 668.88, "end": 669.06, "word": " to", "probability": 0.7783203125}, {"start": 669.06, "end": 669.18, "word": " get", "probability": 0.591796875}, {"start": 669.18, "end": 669.38, "word": " the", "probability": 0.78955078125}, {"start": 669.38, "end": 670.12, "word": " TM2", "probability": 0.6044921875}, {"start": 670.12, "end": 672.9, "word": " equals", "probability": 0.2529296875}, {"start": 672.9, "end": 674.42, "word": " U", "probability": 0.595703125}, {"start": 674.42, "end": 674.64, "word": " over", "probability": 0.440673828125}, {"start": 674.64, "end": 674.98, "word": " V", "probability": 0.97802734375}, {"start": 674.98, "end": 679.4, "word": " equals", "probability": 0.541015625}, {"start": 679.4, "end": 682.38, "word": " plus", "probability": 0.485107421875}, {"start": 682.38, "end": 682.9, "word": " ten", "probability": 0.449951171875}, {"start": 682.9, "end": 683.46, "word": " diopters", "probability": 0.73388671875}, {"start": 683.46, "end": 684.2, "word": " here", "probability": 0.61279296875}, {"start": 684.2, "end": 684.34, "word": " we", "probability": 0.888671875}, {"start": 684.34, "end": 684.42, "word": " didn't", "probability": 0.747802734375}, {"start": 684.42, "end": 684.78, "word": " write", "probability": 0.8369140625}, {"start": 684.78, "end": 685.06, "word": " how", "probability": 0.37744140625}, {"start": 685.06, "end": 685.06, "word": " much", "probability": 0.73828125}, {"start": 685.06, "end": 685.24, "word": " V", "probability": 0.67041015625}, {"start": 685.24, "end": 685.34, "word": " is", "probability": 0.82763671875}], "temperature": 1.0}, {"id": 25, "seek": 71318, "start": 686.74, "end": 713.18, "text": " V plus 5 diopter V plus 5 diopter means that the refractive field produced by the light from the lens is minus U over V equals plus 10 diopter over plus 5 diopter", "tokens": [691, 1804, 1025, 1026, 404, 391, 691, 1804, 1025, 1026, 404, 391, 1355, 300, 264, 45353, 488, 2519, 7126, 538, 264, 1442, 490, 264, 6765, 307, 3175, 624, 670, 691, 6915, 1804, 1266, 1026, 404, 391, 670, 1804, 1025, 1026, 404, 391], "avg_logprob": -0.5977471124294192, "compression_ratio": 1.4684684684684686, "no_speech_prob": 1.7881393432617188e-06, "words": [{"start": 686.74, "end": 687.18, "word": " V", "probability": 0.07366943359375}, {"start": 687.18, "end": 687.52, "word": " plus", "probability": 0.228271484375}, {"start": 687.52, "end": 687.9, "word": " 5", "probability": 0.46728515625}, {"start": 687.9, "end": 688.42, "word": " diopter", "probability": 0.7623697916666666}, {"start": 688.42, "end": 689.82, "word": " V", "probability": 0.359619140625}, {"start": 689.82, "end": 690.32, "word": " plus", "probability": 0.87548828125}, {"start": 690.32, "end": 690.74, "word": " 5", "probability": 0.89990234375}, {"start": 690.74, "end": 691.4, "word": " diopter", "probability": 0.9295247395833334}, {"start": 691.4, "end": 694.34, "word": " means", "probability": 0.07806396484375}, {"start": 694.34, "end": 694.5, "word": " that", "probability": 0.1951904296875}, {"start": 694.5, "end": 694.68, "word": " the", "probability": 0.463623046875}, {"start": 694.68, "end": 695.06, "word": " refractive", "probability": 0.446990966796875}, {"start": 695.06, "end": 695.12, "word": " field", "probability": 0.298828125}, {"start": 695.12, "end": 695.46, "word": " produced", "probability": 0.0894775390625}, {"start": 695.46, "end": 695.9, "word": " by", "probability": 0.79150390625}, {"start": 695.9, "end": 695.94, "word": " the", "probability": 0.66357421875}, {"start": 695.94, "end": 696.1, "word": " light", "probability": 0.278564453125}, {"start": 696.1, "end": 696.3, "word": " from", "probability": 0.452880859375}, {"start": 696.3, "end": 696.42, "word": " the", "probability": 0.84716796875}, {"start": 696.42, "end": 696.74, "word": " lens", "probability": 0.47021484375}, {"start": 696.74, "end": 697.16, "word": " is", "probability": 0.74072265625}, {"start": 697.16, "end": 697.58, "word": " minus", "probability": 0.6142578125}, {"start": 697.58, "end": 707.2, "word": " U", "probability": 0.355224609375}, {"start": 707.2, "end": 707.48, "word": " over", "probability": 0.60009765625}, {"start": 707.48, "end": 707.74, "word": " V", "probability": 0.91357421875}, {"start": 707.74, "end": 708.1, "word": " equals", "probability": 0.56494140625}, {"start": 708.1, "end": 708.6, "word": " plus", "probability": 0.861328125}, {"start": 708.6, "end": 709.0, "word": " 10", "probability": 0.8701171875}, {"start": 709.0, "end": 709.68, "word": " diopter", "probability": 0.8953450520833334}, {"start": 709.68, "end": 711.12, "word": " over", "probability": 0.68603515625}, {"start": 711.12, "end": 712.12, "word": " plus", "probability": 0.88671875}, {"start": 712.12, "end": 712.52, "word": " 5", "probability": 0.9677734375}, {"start": 712.52, "end": 713.18, "word": " diopter", "probability": 0.94873046875}], "temperature": 1.0}, {"id": 26, "seek": 74371, "start": 714.35, "end": 743.71, "text": "and it's equal to x plus 2 x plus 2 let's see the Tm total it's equal to Tm 1 times Tm 2 which is minus four out of ten times plus two", "tokens": [474, 309, 311, 2681, 281, 2031, 1804, 568, 2031, 1804, 568, 718, 311, 536, 264, 314, 76, 3217, 309, 311, 2681, 281, 314, 76, 502, 1413, 314, 76, 568, 597, 307, 3175, 1451, 484, 295, 2064, 1413, 1804, 732], "avg_logprob": -0.4546874910593033, "compression_ratio": 1.3958333333333333, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 714.35, "end": 714.59, "word": "and", "probability": 0.15478515625}, {"start": 714.59, "end": 714.77, "word": " it's", "probability": 0.447509765625}, {"start": 714.77, "end": 715.13, "word": " equal", "probability": 0.68310546875}, {"start": 715.13, "end": 716.11, "word": " to", "probability": 0.90283203125}, {"start": 716.11, "end": 716.55, "word": " x", "probability": 0.72314453125}, {"start": 716.55, "end": 718.11, "word": " plus", "probability": 0.75146484375}, {"start": 718.11, "end": 718.53, "word": " 2", "probability": 0.556640625}, {"start": 718.53, "end": 721.73, "word": " x", "probability": 0.324951171875}, {"start": 721.73, "end": 722.59, "word": " plus", "probability": 0.94482421875}, {"start": 722.59, "end": 723.19, "word": " 2", "probability": 0.859375}, {"start": 723.19, "end": 726.49, "word": " let's", "probability": 0.61376953125}, {"start": 726.49, "end": 726.69, "word": " see", "probability": 0.464599609375}, {"start": 726.69, "end": 726.87, "word": " the", "probability": 0.81787109375}, {"start": 726.87, "end": 727.19, "word": " Tm", "probability": 0.371337890625}, {"start": 727.19, "end": 727.73, "word": " total", "probability": 0.74462890625}, {"start": 727.73, "end": 732.73, "word": " it's", "probability": 0.7117919921875}, {"start": 732.73, "end": 733.03, "word": " equal", "probability": 0.9443359375}, {"start": 733.03, "end": 733.33, "word": " to", "probability": 0.96240234375}, {"start": 733.33, "end": 733.77, "word": " Tm", "probability": 0.8740234375}, {"start": 733.77, "end": 733.99, "word": " 1", "probability": 0.6220703125}, {"start": 733.99, "end": 734.15, "word": " times", "probability": 0.1690673828125}, {"start": 734.15, "end": 734.51, "word": " Tm", "probability": 0.978759765625}, {"start": 734.51, "end": 734.75, "word": " 2", "probability": 0.97607421875}, {"start": 734.75, "end": 734.95, "word": " which", "probability": 0.382080078125}, {"start": 734.95, "end": 735.05, "word": " is", "probability": 0.8583984375}, {"start": 735.05, "end": 735.63, "word": " minus", "probability": 0.87451171875}, {"start": 735.63, "end": 736.99, "word": " four", "probability": 0.402099609375}, {"start": 736.99, "end": 737.23, "word": " out", "probability": 0.53369140625}, {"start": 737.23, "end": 737.27, "word": " of", "probability": 0.974609375}, {"start": 737.27, "end": 737.73, "word": " ten", "probability": 0.89501953125}, {"start": 737.73, "end": 740.13, "word": " times", "probability": 0.5107421875}, {"start": 740.13, "end": 743.23, "word": " plus", "probability": 0.8173828125}, {"start": 743.23, "end": 743.71, "word": " two", "probability": 0.765625}], "temperature": 1.0}, {"id": 27, "seek": 77268, "start": 745.18, "end": 772.68, "text": "and it equals x minus because minus in plus is minus eight out of ten eight out of ten so this picture at a distance of twenty centimeters to the right", "tokens": [474, 309, 6915, 2031, 3175, 570, 3175, 294, 1804, 307, 3175, 3180, 484, 295, 2064, 3180, 484, 295, 2064, 370, 341, 3036, 412, 257, 4560, 295, 7699, 23300, 281, 264, 558], "avg_logprob": -0.4506835825741291, "compression_ratio": 1.5408163265306123, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 745.18, "end": 745.42, "word": "and", "probability": 0.10540771484375}, {"start": 745.42, "end": 745.58, "word": " it", "probability": 0.697265625}, {"start": 745.58, "end": 745.98, "word": " equals", "probability": 0.453125}, {"start": 745.98, "end": 757.92, "word": " x", "probability": 0.64697265625}, {"start": 757.92, "end": 760.16, "word": " minus", "probability": 0.93408203125}, {"start": 760.16, "end": 762.5, "word": " because", "probability": 0.3818359375}, {"start": 762.5, "end": 762.8, "word": " minus", "probability": 0.9267578125}, {"start": 762.8, "end": 763.0, "word": " in", "probability": 0.638671875}, {"start": 763.0, "end": 763.28, "word": " plus", "probability": 0.8623046875}, {"start": 763.28, "end": 763.44, "word": " is", "probability": 0.50634765625}, {"start": 763.44, "end": 763.88, "word": " minus", "probability": 0.86669921875}, {"start": 763.88, "end": 764.82, "word": " eight", "probability": 0.482666015625}, {"start": 764.82, "end": 765.44, "word": " out", "probability": 0.50341796875}, {"start": 765.44, "end": 765.44, "word": " of", "probability": 0.9638671875}, {"start": 765.44, "end": 765.7, "word": " ten", "probability": 0.9306640625}, {"start": 765.7, "end": 766.32, "word": " eight", "probability": 0.439208984375}, {"start": 766.32, "end": 766.88, "word": " out", "probability": 0.74951171875}, {"start": 766.88, "end": 766.92, "word": " of", "probability": 0.97607421875}, {"start": 766.92, "end": 767.2, "word": " ten", "probability": 0.94970703125}, {"start": 767.2, "end": 767.96, "word": " so", "probability": 0.487548828125}, {"start": 767.96, "end": 769.42, "word": " this", "probability": 0.744140625}, {"start": 769.42, "end": 769.82, "word": " picture", "probability": 0.62158203125}, {"start": 769.82, "end": 770.26, "word": " at", "probability": 0.279052734375}, {"start": 770.26, "end": 770.34, "word": " a", "probability": 0.299560546875}, {"start": 770.34, "end": 770.46, "word": " distance", "probability": 0.7109375}, {"start": 770.46, "end": 770.52, "word": " of", "probability": 0.8759765625}, {"start": 770.52, "end": 770.86, "word": " twenty", "probability": 0.53515625}, {"start": 770.86, "end": 771.38, "word": " centimeters", "probability": 0.8134765625}, {"start": 771.38, "end": 772.3, "word": " to", "probability": 0.8974609375}, {"start": 772.3, "end": 772.42, "word": " the", "probability": 0.900390625}, {"start": 772.42, "end": 772.68, "word": " right", "probability": 0.908203125}], "temperature": 1.0}, {"id": 28, "seek": 79136, "start": 776.2, "end": 791.36, "text": "هذه أنا عندي TM2 وهذه أنا عندي ال TM Total", "tokens": [3224, 24192, 41850, 18871, 16254, 33550, 17, 37037, 24192, 41850, 18871, 16254, 2423, 33550, 23170], "avg_logprob": -0.4133300855755806, "compression_ratio": 1.2264150943396226, "no_speech_prob": 0.0, "words": [{"start": 776.2, "end": 776.5, "word": "هذه", "probability": 0.26995849609375}, {"start": 776.5, "end": 776.7, "word": " أنا", "probability": 0.705078125}, {"start": 776.7, "end": 776.96, "word": " عندي", "probability": 0.778076171875}, {"start": 776.96, "end": 777.82, "word": " TM2", "probability": 0.65576171875}, {"start": 777.82, "end": 788.74, "word": " وهذه", "probability": 0.83349609375}, {"start": 788.74, "end": 788.9, "word": " أنا", "probability": 0.90234375}, {"start": 788.9, "end": 789.32, "word": " عندي", "probability": 0.982666015625}, {"start": 789.32, "end": 790.42, "word": " ال", "probability": 0.68359375}, {"start": 790.42, "end": 790.72, "word": " TM", "probability": 0.58837890625}, {"start": 790.72, "end": 791.36, "word": " Total", "probability": 0.469970703125}], "temperature": 1.0}, {"id": 29, "seek": 82215, "start": 801.75, "end": 822.15, "text": "That's how the example was completed. That's how the example was completed. What does TM total minus eight out of ten mean? It means that the final picture, which is this one, is inverted relative to the original body and eight out of ten height relative to it. That is, if it is ten centimeters long or high, it will be eight centimeters.", "tokens": [6390, 311, 577, 264, 1365, 390, 7365, 13, 663, 311, 577, 264, 1365, 390, 7365, 13, 708, 775, 33550, 3217, 3175, 3180, 484, 295, 2064, 914, 30, 467, 1355, 300, 264, 2572, 3036, 11, 597, 307, 341, 472, 11, 307, 38969, 4972, 281, 264, 3380, 1772, 293, 3180, 484, 295, 2064, 6681, 4972, 281, 309, 13, 663, 307, 11, 498, 309, 307, 2064, 23300, 938, 420, 1090, 11, 309, 486, 312, 3180, 23300, 13], "avg_logprob": -0.44791666984558104, "compression_ratio": 1.7842105263157895, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 801.75, "end": 802.35, "word": "That's", "probability": 0.421905517578125}, {"start": 802.35, "end": 802.35, "word": " how", "probability": 0.83544921875}, {"start": 802.35, "end": 802.81, "word": " the", "probability": 0.60107421875}, {"start": 802.81, "end": 803.11, "word": " example", "probability": 0.8271484375}, {"start": 803.11, "end": 803.11, "word": " was", "probability": 0.311279296875}, {"start": 803.11, "end": 803.11, "word": " completed.", "probability": 0.47607421875}, {"start": 803.15, "end": 803.37, "word": " That's", "probability": 0.742431640625}, {"start": 803.37, "end": 803.49, "word": " how", "probability": 0.94580078125}, {"start": 803.49, "end": 804.09, "word": " the", "probability": 0.875}, {"start": 804.09, "end": 804.39, "word": " example", "probability": 0.9658203125}, {"start": 804.39, "end": 804.39, "word": " was", "probability": 0.91796875}, {"start": 804.39, "end": 804.39, "word": " completed.", "probability": 0.8046875}, {"start": 804.79, "end": 805.19, "word": " What", "probability": 0.81591796875}, {"start": 805.19, "end": 805.35, "word": " does", "probability": 0.85009765625}, {"start": 805.35, "end": 805.65, "word": " TM", "probability": 0.26513671875}, {"start": 805.65, "end": 806.09, "word": " total", "probability": 0.493408203125}, {"start": 806.09, "end": 806.55, "word": " minus", "probability": 0.487548828125}, {"start": 806.55, "end": 806.93, "word": " eight", "probability": 0.55908203125}, {"start": 806.93, "end": 807.13, "word": " out", "probability": 0.360107421875}, {"start": 807.13, "end": 807.15, "word": " of", "probability": 0.97265625}, {"start": 807.15, "end": 807.45, "word": " ten", "probability": 0.908203125}, {"start": 807.45, "end": 807.53, "word": " mean?", "probability": 0.89306640625}, {"start": 807.55, "end": 807.67, "word": " It", "probability": 0.5849609375}, {"start": 807.67, "end": 807.97, "word": " means", "probability": 0.88134765625}, {"start": 807.97, "end": 808.19, "word": " that", "probability": 0.37744140625}, {"start": 808.19, "end": 808.31, "word": " the", "probability": 0.78759765625}, {"start": 808.31, "end": 808.83, "word": " final", "probability": 0.7275390625}, {"start": 808.83, "end": 809.21, "word": " picture,", "probability": 0.33984375}, {"start": 809.49, "end": 809.57, "word": " which", "probability": 0.859375}, {"start": 809.57, "end": 809.71, "word": " is", "probability": 0.92626953125}, {"start": 809.71, "end": 809.99, "word": " this", "probability": 0.74560546875}, {"start": 809.99, "end": 810.87, "word": " one,", "probability": 0.4697265625}, {"start": 810.87, "end": 811.19, "word": " is", "probability": 0.68701171875}, {"start": 811.19, "end": 811.57, "word": " inverted", "probability": 0.200927734375}, {"start": 811.57, "end": 811.99, "word": " relative", "probability": 0.189208984375}, {"start": 811.99, "end": 812.21, "word": " to", "probability": 0.97314453125}, {"start": 812.21, "end": 812.33, "word": " the", "probability": 0.90380859375}, {"start": 812.33, "end": 812.93, "word": " original", "probability": 0.90625}, {"start": 812.93, "end": 812.95, "word": " body", "probability": 0.74853515625}, {"start": 812.95, "end": 814.51, "word": " and", "probability": 0.4912109375}, {"start": 814.51, "end": 816.53, "word": " eight", "probability": 0.681640625}, {"start": 816.53, "end": 816.95, "word": " out", "probability": 0.73828125}, {"start": 816.95, "end": 816.95, "word": " of", "probability": 0.9765625}, {"start": 816.95, "end": 817.29, "word": " ten", "probability": 0.92578125}, {"start": 817.29, "end": 817.79, "word": " height", "probability": 0.2022705078125}, {"start": 817.79, "end": 818.15, "word": " relative", "probability": 0.59033203125}, {"start": 818.15, "end": 818.41, "word": " to", "probability": 0.9609375}, {"start": 818.41, "end": 818.55, "word": " it.", "probability": 0.6044921875}, {"start": 818.61, "end": 818.73, "word": " That", "probability": 0.311767578125}, {"start": 818.73, "end": 818.73, "word": " is,", "probability": 0.70263671875}, {"start": 818.79, "end": 818.85, "word": " if", "probability": 0.91796875}, {"start": 818.85, "end": 818.99, "word": " it", "probability": 0.68701171875}, {"start": 818.99, "end": 818.99, "word": " is", "probability": 0.71142578125}, {"start": 818.99, "end": 819.29, "word": " ten", "probability": 0.399169921875}, {"start": 819.29, "end": 819.29, "word": " centimeters", "probability": 0.7119140625}, {"start": 819.29, "end": 819.29, "word": " long", "probability": 0.309326171875}, {"start": 819.29, "end": 819.49, "word": " or", "probability": 0.9404296875}, {"start": 819.49, "end": 820.05, "word": " high,", "probability": 0.57958984375}, {"start": 820.61, "end": 820.81, "word": " it", "probability": 0.81201171875}, {"start": 820.81, "end": 820.93, "word": " will", "probability": 0.80224609375}, {"start": 820.93, "end": 821.17, "word": " be", "probability": 0.9345703125}, {"start": 821.17, "end": 821.51, "word": " eight", "probability": 0.8837890625}, {"start": 821.51, "end": 822.15, "word": " centimeters.", "probability": 0.8955078125}], "temperature": 1.0}, {"id": 30, "seek": 84147, "start": 822.57, "end": 841.47, "text": "طيب، الان TM2 X plus 2 يعني الصورة معتادلة بالنسبة لجسمها، هاي جسمها و هي زيه في نفس الاتجاه معتادلة و ضعفينه في الارتفاع، اذا كان هو عشرة صنطي، هو عشرين صنطي، اذا هي عشرة صنطي، هو خمسة صنطي", "tokens": [9566, 1829, 3555, 12399, 2423, 7649, 33550, 17, 1783, 1804, 568, 37495, 22653, 31767, 13063, 3660, 20449, 2655, 18513, 37977, 20666, 1863, 35457, 3660, 5296, 7435, 38251, 11296, 12399, 8032, 47302, 10874, 38251, 11296, 4032, 39896, 30767, 1829, 3224, 8978, 8717, 36178, 2423, 9307, 7435, 40294, 20449, 2655, 18513, 37977, 4032, 48812, 3615, 5172, 9957, 3224, 8978, 2423, 9640, 2655, 5172, 45761, 12399, 1975, 15730, 25961, 31439, 6225, 8592, 25720, 20328, 1863, 9566, 1829, 12399, 31439, 6225, 46309, 9957, 20328, 1863, 9566, 1829, 12399, 1975, 15730, 39896, 6225, 8592, 25720, 20328, 1863, 9566, 1829, 12399, 31439, 16490, 2304, 3794, 3660, 20328, 1863, 9566, 1829], "avg_logprob": -0.16860119161151704, "compression_ratio": 1.85, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 822.57, "end": 823.23, "word": "طيب،", "probability": 0.779296875}, {"start": 823.23, "end": 823.61, "word": " الان", "probability": 0.64501953125}, {"start": 823.61, "end": 824.97, "word": " TM2", "probability": 0.5384521484375}, {"start": 824.97, "end": 825.61, "word": " X", "probability": 0.7158203125}, {"start": 825.61, "end": 826.05, "word": " plus", "probability": 0.44384765625}, {"start": 826.05, "end": 826.51, "word": " 2", "probability": 0.87060546875}, {"start": 826.51, "end": 826.81, "word": " يعني", "probability": 0.739013671875}, {"start": 826.81, "end": 827.29, "word": " الصورة", "probability": 0.9661458333333334}, {"start": 827.29, "end": 827.91, "word": " معتادلة", "probability": 0.8646240234375}, {"start": 827.91, "end": 828.53, "word": " بالنسبة", "probability": 0.927001953125}, {"start": 828.53, "end": 829.07, "word": " لجسمها،", "probability": 0.95078125}, {"start": 829.07, "end": 829.19, "word": " هاي", "probability": 0.6015625}, {"start": 829.19, "end": 829.77, "word": " جسمها", "probability": 0.9949544270833334}, {"start": 829.77, "end": 830.13, "word": " و", "probability": 0.533203125}, {"start": 830.13, "end": 830.29, "word": " هي", "probability": 0.6884765625}, {"start": 830.29, "end": 830.71, "word": " زيه", "probability": 0.9930013020833334}, {"start": 830.71, "end": 830.85, "word": " في", "probability": 0.55908203125}, {"start": 830.85, "end": 831.05, "word": " نفس", "probability": 0.99560546875}, {"start": 831.05, "end": 831.71, "word": " الاتجاه", "probability": 0.9051513671875}, {"start": 831.71, "end": 832.91, "word": " معتادلة", "probability": 0.8836669921875}, {"start": 832.91, "end": 833.87, "word": " و", "probability": 0.724609375}, {"start": 833.87, "end": 836.43, "word": " ضعفينه", "probability": 0.92626953125}, {"start": 836.43, "end": 836.53, "word": " في", "probability": 0.95751953125}, {"start": 836.53, "end": 837.17, "word": " الارتفاع،", "probability": 0.8992513020833334}, {"start": 837.17, "end": 837.29, "word": " اذا", "probability": 0.7322998046875}, {"start": 837.29, "end": 837.49, "word": " كان", "probability": 0.98193359375}, {"start": 837.49, "end": 837.65, "word": " هو", "probability": 0.97802734375}, {"start": 837.65, "end": 838.03, "word": " عشرة", "probability": 0.89306640625}, {"start": 838.03, "end": 838.61, "word": " صنطي،", "probability": 0.710009765625}, {"start": 838.61, "end": 838.65, "word": " هو", "probability": 0.345947265625}, {"start": 838.65, "end": 839.05, "word": " عشرين", "probability": 0.9290364583333334}, {"start": 839.05, "end": 839.53, "word": " صنطي،", "probability": 0.979296875}, {"start": 839.53, "end": 839.65, "word": " اذا", "probability": 0.954345703125}, {"start": 839.65, "end": 839.83, "word": " هي", "probability": 0.5673828125}, {"start": 839.83, "end": 840.19, "word": " عشرة", "probability": 0.9383138020833334}, {"start": 840.19, "end": 840.61, "word": " صنطي،", "probability": 0.95947265625}, {"start": 840.61, "end": 840.69, "word": " هو", "probability": 0.904296875}, {"start": 840.69, "end": 841.13, "word": " خمسة", "probability": 0.9744873046875}, {"start": 841.13, "end": 841.47, "word": " صنطي", "probability": 0.9879150390625}], "temperature": 1.0}, {"id": 31, "seek": 85254, "start": 841.74, "end": 852.54, "text": "So this is the example. Now there are some interpretations of this example. There may be a question right or wrong that says, is it possible for the minus lens to form a real image?", "tokens": [6455, 341, 307, 264, 1365, 13, 823, 456, 366, 512, 37547, 295, 341, 1365, 13, 821, 815, 312, 257, 1168, 558, 420, 2085, 300, 1619, 11, 307, 309, 1944, 337, 264, 3175, 6765, 281, 1254, 257, 957, 3256, 30], "avg_logprob": -0.6058593615889549, "compression_ratio": 1.371212121212121, "no_speech_prob": 8.761882781982422e-06, "words": [{"start": 841.74, "end": 841.96, "word": "So", "probability": 0.372314453125}, {"start": 841.96, "end": 842.54, "word": " this", "probability": 0.39697265625}, {"start": 842.54, "end": 842.8, "word": " is", "probability": 0.84423828125}, {"start": 842.8, "end": 842.98, "word": " the", "probability": 0.8369140625}, {"start": 842.98, "end": 843.28, "word": " example.", "probability": 0.365966796875}, {"start": 843.72, "end": 844.02, "word": " Now", "probability": 0.69287109375}, {"start": 844.02, "end": 844.18, "word": " there", "probability": 0.64453125}, {"start": 844.18, "end": 844.26, "word": " are", "probability": 0.7734375}, {"start": 844.26, "end": 844.48, "word": " some", "probability": 0.71533203125}, {"start": 844.48, "end": 844.96, "word": " interpretations", "probability": 0.12225341796875}, {"start": 844.96, "end": 845.34, "word": " of", "probability": 0.349609375}, {"start": 845.34, "end": 845.6, "word": " this", "probability": 0.85986328125}, {"start": 845.6, "end": 846.06, "word": " example.", "probability": 0.79150390625}, {"start": 846.66, "end": 846.68, "word": " There", "probability": 0.176513671875}, {"start": 846.68, "end": 846.96, "word": " may", "probability": 0.2342529296875}, {"start": 846.96, "end": 847.18, "word": " be", "probability": 0.8447265625}, {"start": 847.18, "end": 847.28, "word": " a", "probability": 0.7607421875}, {"start": 847.28, "end": 847.44, "word": " question", "probability": 0.52490234375}, {"start": 847.44, "end": 847.76, "word": " right", "probability": 0.304931640625}, {"start": 847.76, "end": 847.96, "word": " or", "probability": 0.8251953125}, {"start": 847.96, "end": 848.28, "word": " wrong", "probability": 0.935546875}, {"start": 848.28, "end": 848.44, "word": " that", "probability": 0.37255859375}, {"start": 848.44, "end": 848.72, "word": " says,", "probability": 0.541015625}, {"start": 849.2, "end": 849.38, "word": " is", "probability": 0.26708984375}, {"start": 849.38, "end": 849.5, "word": " it", "probability": 0.87158203125}, {"start": 849.5, "end": 849.82, "word": " possible", "probability": 0.94580078125}, {"start": 849.82, "end": 849.96, "word": " for", "probability": 0.29638671875}, {"start": 849.96, "end": 850.04, "word": " the", "probability": 0.77392578125}, {"start": 850.04, "end": 850.74, "word": " minus", "probability": 0.57373046875}, {"start": 850.74, "end": 850.82, "word": " lens", "probability": 0.431640625}, {"start": 850.82, "end": 851.3, "word": " to", "probability": 0.93994140625}, {"start": 851.3, "end": 851.66, "word": " form", "probability": 0.46240234375}, {"start": 851.66, "end": 851.8, "word": " a", "probability": 0.935546875}, {"start": 851.8, "end": 852.04, "word": " real", "probability": 0.89794921875}, {"start": 852.04, "end": 852.54, "word": " image?", "probability": 0.919921875}], "temperature": 1.0}, {"id": 32, "seek": 88105, "start": 853.65, "end": 881.05, "text": "الكلام صحيح، هاي real image لعدسة minus، إمتى بتكون العدسة ال minus real image؟ يعني الإجابة true، can minus lens produce real image؟ نعم، إذا كان ال object virtual، إذا كان ال object virtual، كيف عرفنا ال object virtual؟ أشعة اللي جاية في العدسة ال minus جاية conversion، فش object حقيقي بيعطي conversion light، دايما ال real object divergence light بتطلع منه", "tokens": [6027, 28820, 10943, 20328, 5016, 1829, 5016, 12399, 8032, 47302, 957, 3256, 5296, 3615, 3215, 3794, 3660, 3175, 12399, 11933, 2304, 49975, 39894, 30544, 18863, 3215, 3794, 3660, 2423, 3175, 957, 3256, 22807, 37495, 22653, 33688, 7435, 16758, 3660, 2074, 12399, 393, 3175, 6765, 5258, 957, 3256, 22807, 8717, 25957, 12399, 11933, 15730, 25961, 2423, 2657, 6374, 12399, 11933, 15730, 25961, 2423, 2657, 6374, 12399, 9122, 33911, 6225, 28480, 8315, 2423, 2657, 6374, 22807, 5551, 8592, 27884, 13672, 1829, 10874, 995, 10632, 8978, 18863, 3215, 3794, 3660, 2423, 3175, 10874, 995, 10632, 14298, 12399, 6156, 8592, 2657, 11331, 38436, 38436, 4724, 40228, 9566, 1829, 14298, 1442, 12399, 11778, 47302, 15042, 2423, 957, 2657, 47387, 1442, 39894, 9566, 1211, 3615, 9154, 3224], "avg_logprob": -0.1695696783603215, "compression_ratio": 1.8689138576779025, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 853.65, "end": 854.17, "word": "الكلام", "probability": 0.7155354817708334}, {"start": 854.17, "end": 854.85, "word": " صحيح،", "probability": 0.860498046875}, {"start": 854.85, "end": 855.13, "word": " هاي", "probability": 0.542236328125}, {"start": 855.13, "end": 855.39, "word": " real", "probability": 0.87646484375}, {"start": 855.39, "end": 855.77, "word": " image", "probability": 0.9384765625}, {"start": 855.77, "end": 856.31, "word": " لعدسة", "probability": 0.86416015625}, {"start": 856.31, "end": 856.85, "word": " minus،", "probability": 0.49298095703125}, {"start": 856.85, "end": 857.51, "word": " إمتى", "probability": 0.6897786458333334}, {"start": 857.51, "end": 858.03, "word": " بتكون", "probability": 0.9580078125}, {"start": 858.03, "end": 858.57, "word": " العدسة", "probability": 0.9857177734375}, {"start": 858.57, "end": 858.69, "word": " ال", "probability": 0.93017578125}, {"start": 858.69, "end": 858.93, "word": " minus", "probability": 0.61572265625}, {"start": 858.93, "end": 859.27, "word": " real", "probability": 0.966796875}, {"start": 859.27, "end": 860.29, "word": " image؟", "probability": 0.823486328125}, {"start": 860.29, "end": 860.43, "word": " يعني", "probability": 0.899169921875}, {"start": 860.43, "end": 860.89, "word": " الإجابة", "probability": 0.9820556640625}, {"start": 860.89, "end": 861.67, "word": " true،", "probability": 0.807373046875}, {"start": 861.67, "end": 861.99, "word": " can", "probability": 0.91552734375}, {"start": 861.99, "end": 862.61, "word": " minus", "probability": 0.982421875}, {"start": 862.61, "end": 863.05, "word": " lens", "probability": 0.89990234375}, {"start": 863.05, "end": 863.75, "word": " produce", "probability": 0.89453125}, {"start": 863.75, "end": 864.13, "word": " real", "probability": 0.95361328125}, {"start": 864.13, "end": 865.19, "word": " image؟", "probability": 0.912109375}, {"start": 865.19, "end": 865.99, "word": " نعم،", "probability": 0.9280598958333334}, {"start": 865.99, "end": 866.59, "word": " إذا", "probability": 0.96044921875}, {"start": 866.59, "end": 866.85, "word": " كان", "probability": 0.9970703125}, {"start": 866.85, "end": 866.99, "word": " ال", "probability": 0.98828125}, {"start": 866.99, "end": 867.31, "word": " object", "probability": 0.99072265625}, {"start": 867.31, "end": 868.21, "word": " virtual،", "probability": 0.899169921875}, {"start": 868.21, "end": 868.41, "word": " إذا", "probability": 0.932861328125}, {"start": 868.41, "end": 868.65, "word": " كان", "probability": 0.99658203125}, {"start": 868.65, "end": 868.77, "word": " ال", "probability": 0.99658203125}, {"start": 868.77, "end": 869.09, "word": " object", "probability": 0.994140625}, {"start": 869.09, "end": 870.07, "word": " virtual،", "probability": 0.93212890625}, {"start": 870.07, "end": 870.29, "word": " كيف", "probability": 0.98681640625}, {"start": 870.29, "end": 870.63, "word": " عرفنا", "probability": 0.91064453125}, {"start": 870.63, "end": 870.73, "word": " ال", "probability": 0.99462890625}, {"start": 870.73, "end": 871.03, "word": " object", "probability": 0.9921875}, {"start": 871.03, "end": 871.67, "word": " virtual؟", "probability": 0.93701171875}, {"start": 871.67, "end": 872.05, "word": " أشعة", "probability": 0.6752115885416666}, {"start": 872.05, "end": 872.31, "word": " اللي", "probability": 0.95068359375}, {"start": 872.31, "end": 872.53, "word": " جاية", "probability": 0.9005533854166666}, {"start": 872.53, "end": 872.65, "word": " في", "probability": 0.7236328125}, {"start": 872.65, "end": 873.17, "word": " العدسة", "probability": 0.983154296875}, {"start": 873.17, "end": 873.27, "word": " ال", "probability": 0.93798828125}, {"start": 873.27, "end": 873.57, "word": " minus", "probability": 0.99072265625}, {"start": 873.57, "end": 874.23, "word": " جاية", "probability": 0.80615234375}, {"start": 874.23, "end": 875.47, "word": " conversion،", "probability": 0.6490478515625}, {"start": 875.47, "end": 875.77, "word": " فش", "probability": 0.609619140625}, {"start": 875.77, "end": 876.21, "word": " object", "probability": 0.9345703125}, {"start": 876.21, "end": 876.89, "word": " حقيقي", "probability": 0.9835611979166666}, {"start": 876.89, "end": 877.29, "word": " بيعطي", "probability": 0.9337158203125}, {"start": 877.29, "end": 877.77, "word": " conversion", "probability": 0.53515625}, {"start": 877.77, "end": 878.17, "word": " light،", "probability": 0.846435546875}, {"start": 878.17, "end": 878.47, "word": " دايما", "probability": 0.89599609375}, {"start": 878.47, "end": 878.63, "word": " ال", "probability": 0.97900390625}, {"start": 878.63, "end": 878.83, "word": " real", "probability": 0.97314453125}, {"start": 878.83, "end": 879.25, "word": " object", "probability": 0.99072265625}, {"start": 879.25, "end": 879.85, "word": " divergence", "probability": 0.26025390625}, {"start": 879.85, "end": 880.35, "word": " light", "probability": 0.92431640625}, {"start": 880.35, "end": 880.79, "word": " بتطلع", "probability": 0.9888916015625}, {"start": 880.79, "end": 881.05, "word": " منه", "probability": 0.979248046875}], "temperature": 1.0}, {"id": 33, "seek": 88481, "start": 881.45, "end": 884.81, "text": "So the minus lens can be formed", "tokens": [6455, 264, 3175, 6765, 393, 312, 8693], "avg_logprob": -0.6142577901482582, "compression_ratio": 0.7948717948717948, "no_speech_prob": 0.0, "words": [{"start": 881.45, "end": 881.89, "word": "So", "probability": 0.5390625}, {"start": 881.89, "end": 882.59, "word": " the", "probability": 0.316650390625}, {"start": 882.59, "end": 883.07, "word": " minus", "probability": 0.798828125}, {"start": 883.07, "end": 883.53, "word": " lens", "probability": 0.7255859375}, {"start": 883.53, "end": 884.09, "word": " can", "probability": 0.7490234375}, {"start": 884.09, "end": 884.31, "word": " be", "probability": 0.421875}, {"start": 884.31, "end": 884.81, "word": " formed", "probability": 0.478759765625}], "temperature": 1.0}, {"id": 34, "seek": 91352, "start": 886.26, "end": 913.52, "text": "real image if the object is virtual if the object is virtual and the amount of oscillation or accumulation in terms of oscillation that comes to the lens the minus is stronger than its minus stronger than its minus power that is, here the accumulation is plus ten it is minus five, so it is stronger than it the light remained accumulated in the amount of five, so it will be formed in my real image", "tokens": [9342, 3256, 498, 264, 2657, 307, 6374, 498, 264, 2657, 307, 6374, 293, 264, 2372, 295, 18225, 399, 420, 35647, 294, 2115, 295, 3003, 3208, 24278, 300, 1487, 281, 264, 6765, 264, 3175, 307, 7249, 813, 1080, 3175, 7249, 813, 1080, 3175, 1347, 300, 307, 11, 510, 264, 35647, 307, 1804, 2064, 309, 307, 3175, 1732, 11, 370, 309, 307, 7249, 813, 309, 264, 1442, 12780, 31346, 294, 264, 2372, 295, 1732, 11, 370, 309, 486, 312, 8693, 294, 452, 957, 3256], "avg_logprob": -0.6257530335920403, "compression_ratio": 2.180327868852459, "no_speech_prob": 3.516674041748047e-06, "words": [{"start": 886.26, "end": 886.68, "word": "real", "probability": 0.4765625}, {"start": 886.68, "end": 887.2, "word": " image", "probability": 0.91748046875}, {"start": 887.2, "end": 888.0, "word": " if", "probability": 0.67431640625}, {"start": 888.0, "end": 888.46, "word": " the", "probability": 0.6044921875}, {"start": 888.46, "end": 888.84, "word": " object", "probability": 0.9091796875}, {"start": 888.84, "end": 889.04, "word": " is", "probability": 0.794921875}, {"start": 889.04, "end": 889.44, "word": " virtual", "probability": 0.87890625}, {"start": 889.44, "end": 889.74, "word": " if", "probability": 0.37744140625}, {"start": 889.74, "end": 890.1, "word": " the", "probability": 0.78076171875}, {"start": 890.1, "end": 890.36, "word": " object", "probability": 0.94580078125}, {"start": 890.36, "end": 890.54, "word": " is", "probability": 0.94482421875}, {"start": 890.54, "end": 890.98, "word": " virtual", "probability": 0.9306640625}, {"start": 890.98, "end": 891.58, "word": " and", "probability": 0.75537109375}, {"start": 891.58, "end": 891.76, "word": " the", "probability": 0.70068359375}, {"start": 891.76, "end": 892.08, "word": " amount", "probability": 0.33056640625}, {"start": 892.08, "end": 892.48, "word": " of", "probability": 0.9423828125}, {"start": 892.48, "end": 892.98, "word": " oscillation", "probability": 0.48553466796875}, {"start": 892.98, "end": 893.16, "word": " or", "probability": 0.5537109375}, {"start": 893.16, "end": 893.78, "word": " accumulation", "probability": 0.249267578125}, {"start": 893.78, "end": 894.16, "word": " in", "probability": 0.340087890625}, {"start": 894.16, "end": 894.36, "word": " terms", "probability": 0.0743408203125}, {"start": 894.36, "end": 894.36, "word": " of", "probability": 0.916015625}, {"start": 894.36, "end": 894.68, "word": " oscillation", "probability": 0.3949686686197917}, {"start": 894.68, "end": 895.4, "word": " that", "probability": 0.317138671875}, {"start": 895.4, "end": 895.62, "word": " comes", "probability": 0.42529296875}, {"start": 895.62, "end": 895.8, "word": " to", "probability": 0.9345703125}, {"start": 895.8, "end": 895.94, "word": " the", "probability": 0.89794921875}, {"start": 895.94, "end": 896.36, "word": " lens", "probability": 0.5615234375}, {"start": 896.36, "end": 897.12, "word": " the", "probability": 0.18212890625}, {"start": 897.12, "end": 897.48, "word": " minus", "probability": 0.79541015625}, {"start": 897.48, "end": 897.72, "word": " is", "probability": 0.5478515625}, {"start": 897.72, "end": 898.06, "word": " stronger", "probability": 0.59375}, {"start": 898.06, "end": 898.66, "word": " than", "probability": 0.9375}, {"start": 898.66, "end": 899.02, "word": " its", "probability": 0.354736328125}, {"start": 899.02, "end": 899.86, "word": " minus", "probability": 0.90283203125}, {"start": 899.86, "end": 900.76, "word": " stronger", "probability": 0.2705078125}, {"start": 900.76, "end": 901.0, "word": " than", "probability": 0.94873046875}, {"start": 901.0, "end": 901.14, "word": " its", "probability": 0.80126953125}, {"start": 901.14, "end": 902.16, "word": " minus", "probability": 0.54541015625}, {"start": 902.16, "end": 902.3, "word": " power", "probability": 0.378173828125}, {"start": 902.3, "end": 902.68, "word": " that", "probability": 0.156494140625}, {"start": 902.68, "end": 902.72, "word": " is,", "probability": 0.68359375}, {"start": 902.76, "end": 902.86, "word": " here", "probability": 0.40625}, {"start": 902.86, "end": 902.96, "word": " the", "probability": 0.619140625}, {"start": 902.96, "end": 903.34, "word": " accumulation", "probability": 0.943359375}, {"start": 903.34, "end": 903.86, "word": " is", "probability": 0.67431640625}, {"start": 903.86, "end": 904.16, "word": " plus", "probability": 0.66162109375}, {"start": 904.16, "end": 904.58, "word": " ten", "probability": 0.60595703125}, {"start": 904.58, "end": 905.08, "word": " it", "probability": 0.55712890625}, {"start": 905.08, "end": 905.28, "word": " is", "probability": 0.8251953125}, {"start": 905.28, "end": 905.56, "word": " minus", "probability": 0.88720703125}, {"start": 905.56, "end": 905.86, "word": " five,", "probability": 0.90185546875}, {"start": 905.96, "end": 906.08, "word": " so", "probability": 0.55908203125}, {"start": 906.08, "end": 906.24, "word": " it", "probability": 0.92822265625}, {"start": 906.24, "end": 906.32, "word": " is", "probability": 0.892578125}, {"start": 906.32, "end": 906.54, "word": " stronger", "probability": 0.837890625}, {"start": 906.54, "end": 906.72, "word": " than", "probability": 0.88720703125}, {"start": 906.72, "end": 906.94, "word": " it", "probability": 0.73779296875}, {"start": 906.94, "end": 907.68, "word": " the", "probability": 0.0743408203125}, {"start": 907.68, "end": 907.92, "word": " light", "probability": 0.83837890625}, {"start": 907.92, "end": 907.92, "word": " remained", "probability": 0.49365234375}, {"start": 907.92, "end": 908.54, "word": " accumulated", "probability": 0.1160888671875}, {"start": 908.54, "end": 909.06, "word": " in", "probability": 0.47021484375}, {"start": 909.06, "end": 909.2, "word": " the", "probability": 0.3447265625}, {"start": 909.2, "end": 909.42, "word": " amount", "probability": 0.86669921875}, {"start": 909.42, "end": 909.58, "word": " of", "probability": 0.93359375}, {"start": 909.58, "end": 909.82, "word": " five,", "probability": 0.8916015625}, {"start": 909.98, "end": 910.1, "word": " so", "probability": 0.58203125}, {"start": 910.1, "end": 910.32, "word": " it", "probability": 0.7763671875}, {"start": 910.32, "end": 910.4, "word": " will", "probability": 0.724609375}, {"start": 910.4, "end": 910.44, "word": " be", "probability": 0.357421875}, {"start": 910.44, "end": 910.88, "word": " formed", "probability": 0.572265625}, {"start": 910.88, "end": 911.6, "word": " in", "probability": 0.188720703125}, {"start": 911.6, "end": 911.88, "word": " my", "probability": 0.417236328125}, {"start": 911.88, "end": 913.14, "word": " real", "probability": 0.78173828125}, {"start": 913.14, "end": 913.52, "word": " image", "probability": 0.92724609375}], "temperature": 1.0}, {"id": 35, "seek": 94364, "start": 914.1, "end": 943.64, "text": "But is it possible for the minus lens to form a real image for a real object? The answer is wrong It's not possible at all because the real object will have a different beam from it, the real object So it will be the U with the minus and the minus lens will always add to the minus and the V will come out with the minus So the minus lens is possible sometimes, sometimes, not all the time", "tokens": [7835, 307, 309, 1944, 337, 264, 3175, 6765, 281, 1254, 257, 957, 3256, 337, 257, 957, 2657, 30, 440, 1867, 307, 2085, 467, 311, 406, 1944, 412, 439, 570, 264, 957, 2657, 486, 362, 257, 819, 14269, 490, 309, 11, 264, 957, 2657, 407, 309, 486, 312, 264, 624, 365, 264, 3175, 293, 264, 3175, 6765, 486, 1009, 909, 281, 264, 3175, 293, 264, 691, 486, 808, 484, 365, 264, 3175, 407, 264, 3175, 6765, 307, 1944, 2171, 11, 2171, 11, 406, 439, 264, 565], "avg_logprob": -0.44295056788034215, "compression_ratio": 2.0051546391752577, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 914.1, "end": 914.42, "word": "But", "probability": 0.67578125}, {"start": 914.42, "end": 915.08, "word": " is", "probability": 0.41162109375}, {"start": 915.08, "end": 915.22, "word": " it", "probability": 0.91064453125}, {"start": 915.22, "end": 915.54, "word": " possible", "probability": 0.939453125}, {"start": 915.54, "end": 915.7, "word": " for", "probability": 0.289306640625}, {"start": 915.7, "end": 915.78, "word": " the", "probability": 0.66162109375}, {"start": 915.78, "end": 916.6, "word": " minus", "probability": 0.54296875}, {"start": 916.6, "end": 916.6, "word": " lens", "probability": 0.53515625}, {"start": 916.6, "end": 917.5, "word": " to", "probability": 0.89404296875}, {"start": 917.5, "end": 917.86, "word": " form", "probability": 0.30126953125}, {"start": 917.86, "end": 918.14, "word": " a", "probability": 0.84130859375}, {"start": 918.14, "end": 918.36, "word": " real", "probability": 0.8857421875}, {"start": 918.36, "end": 918.86, "word": " image", "probability": 0.931640625}, {"start": 918.86, "end": 919.12, "word": " for", "probability": 0.50390625}, {"start": 919.12, "end": 919.34, "word": " a", "probability": 0.62890625}, {"start": 919.34, "end": 919.62, "word": " real", "probability": 0.96728515625}, {"start": 919.62, "end": 920.2, "word": " object?", "probability": 0.98486328125}, {"start": 920.32, "end": 920.46, "word": " The", "probability": 0.27197265625}, {"start": 920.46, "end": 920.78, "word": " answer", "probability": 0.70166015625}, {"start": 920.78, "end": 920.98, "word": " is", "probability": 0.9248046875}, {"start": 920.98, "end": 921.32, "word": " wrong", "probability": 0.58154296875}, {"start": 921.32, "end": 921.86, "word": " It's", "probability": 0.3746337890625}, {"start": 921.86, "end": 921.94, "word": " not", "probability": 0.55712890625}, {"start": 921.94, "end": 922.42, "word": " possible", "probability": 0.880859375}, {"start": 922.42, "end": 922.64, "word": " at", "probability": 0.69140625}, {"start": 922.64, "end": 922.92, "word": " all", "probability": 0.95263671875}, {"start": 922.92, "end": 923.46, "word": " because", "probability": 0.466552734375}, {"start": 923.46, "end": 923.7, "word": " the", "probability": 0.64453125}, {"start": 923.7, "end": 923.92, "word": " real", "probability": 0.85693359375}, {"start": 923.92, "end": 924.36, "word": " object", "probability": 0.9228515625}, {"start": 924.36, "end": 924.6, "word": " will", "probability": 0.6787109375}, {"start": 924.6, "end": 924.82, "word": " have", "probability": 0.56640625}, {"start": 924.82, "end": 925.52, "word": " a", "probability": 0.552734375}, {"start": 925.52, "end": 925.82, "word": " different", "probability": 0.42138671875}, {"start": 925.82, "end": 925.82, "word": " beam", "probability": 0.1485595703125}, {"start": 925.82, "end": 926.0, "word": " from", "probability": 0.56005859375}, {"start": 926.0, "end": 926.36, "word": " it,", "probability": 0.916015625}, {"start": 927.62, "end": 927.78, "word": " the", "probability": 0.619140625}, {"start": 927.78, "end": 928.02, "word": " real", "probability": 0.94091796875}, {"start": 928.02, "end": 928.56, "word": " object", "probability": 0.97998046875}, {"start": 928.56, "end": 929.1, "word": " So", "probability": 0.37158203125}, {"start": 929.1, "end": 929.3, "word": " it", "probability": 0.8916015625}, {"start": 929.3, "end": 929.3, "word": " will", "probability": 0.64599609375}, {"start": 929.3, "end": 929.64, "word": " be", "probability": 0.85595703125}, {"start": 929.64, "end": 930.76, "word": " the", "probability": 0.65234375}, {"start": 930.76, "end": 930.96, "word": " U", "probability": 0.55322265625}, {"start": 930.96, "end": 931.06, "word": " with", "probability": 0.77880859375}, {"start": 931.06, "end": 931.2, "word": " the", "probability": 0.3623046875}, {"start": 931.2, "end": 931.54, "word": " minus", "probability": 0.97119140625}, {"start": 931.54, "end": 932.14, "word": " and", "probability": 0.41943359375}, {"start": 932.14, "end": 932.34, "word": " the", "probability": 0.8828125}, {"start": 932.34, "end": 933.06, "word": " minus", "probability": 0.86376953125}, {"start": 933.06, "end": 933.08, "word": " lens", "probability": 0.7841796875}, {"start": 933.08, "end": 933.36, "word": " will", "probability": 0.818359375}, {"start": 933.36, "end": 933.58, "word": " always", "probability": 0.845703125}, {"start": 933.58, "end": 934.12, "word": " add", "probability": 0.826171875}, {"start": 934.12, "end": 934.28, "word": " to", "probability": 0.71435546875}, {"start": 934.28, "end": 934.4, "word": " the", "probability": 0.86328125}, {"start": 934.4, "end": 934.66, "word": " minus", "probability": 0.970703125}, {"start": 934.66, "end": 934.82, "word": " and", "probability": 0.56884765625}, {"start": 934.82, "end": 935.42, "word": " the", "probability": 0.4609375}, {"start": 935.42, "end": 935.66, "word": " V", "probability": 0.8310546875}, {"start": 935.66, "end": 935.74, "word": " will", "probability": 0.73486328125}, {"start": 935.74, "end": 935.74, "word": " come", "probability": 0.2235107421875}, {"start": 935.74, "end": 935.74, "word": " out", "probability": 0.74267578125}, {"start": 935.74, "end": 935.78, "word": " with", "probability": 0.7890625}, {"start": 935.78, "end": 935.96, "word": " the", "probability": 0.751953125}, {"start": 935.96, "end": 936.18, "word": " minus", "probability": 0.9833984375}, {"start": 936.18, "end": 936.38, "word": " So", "probability": 0.480224609375}, {"start": 936.38, "end": 937.12, "word": " the", "probability": 0.35400390625}, {"start": 937.12, "end": 938.8, "word": " minus", "probability": 0.8056640625}, {"start": 938.8, "end": 939.46, "word": " lens", "probability": 0.88916015625}, {"start": 939.46, "end": 939.78, "word": " is", "probability": 0.421142578125}, {"start": 939.78, "end": 940.18, "word": " possible", "probability": 0.8515625}, {"start": 940.18, "end": 941.24, "word": " sometimes,", "probability": 0.69091796875}, {"start": 941.92, "end": 942.34, "word": " sometimes,", "probability": 0.80322265625}, {"start": 942.8, "end": 942.92, "word": " not", "probability": 0.80126953125}, {"start": 942.92, "end": 943.24, "word": " all", "probability": 0.345703125}, {"start": 943.24, "end": 943.36, "word": " the", "probability": 0.74462890625}, {"start": 943.36, "end": 943.64, "word": " time", "probability": 0.556640625}], "temperature": 1.0}, {"id": 36, "seek": 95981, "start": 945.05, "end": 959.81, "text": "It's a real image for a virtual object But it's impossible for a digital lens to form a real image for a real object Real image for a real object, there's no possibility Okay, I have a virtual object", "tokens": [3522, 311, 257, 957, 3256, 337, 257, 6374, 2657, 583, 309, 311, 6243, 337, 257, 4562, 6765, 281, 1254, 257, 957, 3256, 337, 257, 957, 2657, 8467, 3256, 337, 257, 957, 2657, 11, 456, 311, 572, 7959, 1033, 11, 286, 362, 257, 6374, 2657], "avg_logprob": -0.4461805635028415, "compression_ratio": 1.7008547008547008, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 945.05, "end": 945.35, "word": "It's", "probability": 0.4874267578125}, {"start": 945.35, "end": 945.47, "word": " a", "probability": 0.54052734375}, {"start": 945.47, "end": 946.03, "word": " real", "probability": 0.29541015625}, {"start": 946.03, "end": 946.61, "word": " image", "probability": 0.8662109375}, {"start": 946.61, "end": 946.77, "word": " for", "probability": 0.1116943359375}, {"start": 946.77, "end": 946.87, "word": " a", "probability": 0.560546875}, {"start": 946.87, "end": 947.19, "word": " virtual", "probability": 0.9306640625}, {"start": 947.19, "end": 947.85, "word": " object", "probability": 0.96533203125}, {"start": 947.85, "end": 949.43, "word": " But", "probability": 0.57861328125}, {"start": 949.43, "end": 949.69, "word": " it's", "probability": 0.7724609375}, {"start": 949.69, "end": 950.13, "word": " impossible", "probability": 0.75732421875}, {"start": 950.13, "end": 950.29, "word": " for", "probability": 0.61083984375}, {"start": 950.29, "end": 950.31, "word": " a", "probability": 0.6416015625}, {"start": 950.31, "end": 951.01, "word": " digital", "probability": 0.11029052734375}, {"start": 951.01, "end": 951.17, "word": " lens", "probability": 0.3515625}, {"start": 951.17, "end": 951.39, "word": " to", "probability": 0.9404296875}, {"start": 951.39, "end": 951.69, "word": " form", "probability": 0.254638671875}, {"start": 951.69, "end": 951.91, "word": " a", "probability": 0.88720703125}, {"start": 951.91, "end": 952.15, "word": " real", "probability": 0.94921875}, {"start": 952.15, "end": 952.75, "word": " image", "probability": 0.92236328125}, {"start": 952.75, "end": 953.03, "word": " for", "probability": 0.802734375}, {"start": 953.03, "end": 953.17, "word": " a", "probability": 0.94775390625}, {"start": 953.17, "end": 953.35, "word": " real", "probability": 0.95751953125}, {"start": 953.35, "end": 953.85, "word": " object", "probability": 0.97314453125}, {"start": 953.85, "end": 954.25, "word": " Real", "probability": 0.51123046875}, {"start": 954.25, "end": 954.69, "word": " image", "probability": 0.927734375}, {"start": 954.69, "end": 954.81, "word": " for", "probability": 0.93798828125}, {"start": 954.81, "end": 954.93, "word": " a", "probability": 0.6630859375}, {"start": 954.93, "end": 955.05, "word": " real", "probability": 0.9560546875}, {"start": 955.05, "end": 955.47, "word": " object,", "probability": 0.9775390625}, {"start": 955.53, "end": 955.73, "word": " there's", "probability": 0.5628662109375}, {"start": 955.73, "end": 955.89, "word": " no", "probability": 0.9306640625}, {"start": 955.89, "end": 956.41, "word": " possibility", "probability": 0.66162109375}, {"start": 956.41, "end": 957.15, "word": " Okay,", "probability": 0.317626953125}, {"start": 958.01, "end": 958.29, "word": " I", "probability": 0.85791015625}, {"start": 958.29, "end": 958.53, "word": " have", "probability": 0.84716796875}, {"start": 958.53, "end": 958.67, "word": " a", "probability": 0.94921875}, {"start": 958.67, "end": 959.01, "word": " virtual", "probability": 0.94140625}, {"start": 959.01, "end": 959.81, "word": " object", "probability": 0.9775390625}], "temperature": 1.0}, {"id": 37, "seek": 97674, "start": 961.18, "end": 976.74, "text": "But the minus lens is not able to create a real image, which means that this virtual object came with a collection less than its power, plus three for example, and here I have minus five, the result will be minus two, so the picture will also be virtual", "tokens": [7835, 264, 3175, 6765, 307, 406, 1075, 281, 1884, 257, 957, 3256, 11, 597, 1355, 300, 341, 6374, 2657, 1361, 365, 257, 5765, 1570, 813, 1080, 1347, 11, 1804, 1045, 337, 1365, 11, 293, 510, 286, 362, 3175, 1732, 11, 264, 1874, 486, 312, 3175, 732, 11, 370, 264, 3036, 486, 611, 312, 6374], "avg_logprob": -0.49374998916279184, "compression_ratio": 1.5333333333333334, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 961.18, "end": 961.5, "word": "But", "probability": 0.53076171875}, {"start": 961.5, "end": 961.68, "word": " the", "probability": 0.54248046875}, {"start": 961.68, "end": 962.5, "word": " minus", "probability": 0.388427734375}, {"start": 962.5, "end": 962.62, "word": " lens", "probability": 0.281005859375}, {"start": 962.62, "end": 962.84, "word": " is", "probability": 0.1826171875}, {"start": 962.84, "end": 963.0, "word": " not", "probability": 0.6962890625}, {"start": 963.0, "end": 963.44, "word": " able", "probability": 0.7021484375}, {"start": 963.44, "end": 963.7, "word": " to", "probability": 0.96826171875}, {"start": 963.7, "end": 964.0, "word": " create", "probability": 0.300048828125}, {"start": 964.0, "end": 964.18, "word": " a", "probability": 0.398193359375}, {"start": 964.18, "end": 964.36, "word": " real", "probability": 0.8310546875}, {"start": 964.36, "end": 964.72, "word": " image,", "probability": 0.90771484375}, {"start": 964.92, "end": 964.92, "word": " which", "probability": 0.371337890625}, {"start": 964.92, "end": 965.32, "word": " means", "probability": 0.91845703125}, {"start": 965.32, "end": 965.86, "word": " that", "probability": 0.52587890625}, {"start": 965.86, "end": 966.08, "word": " this", "probability": 0.65625}, {"start": 966.08, "end": 966.58, "word": " virtual", "probability": 0.8623046875}, {"start": 966.58, "end": 967.38, "word": " object", "probability": 0.9189453125}, {"start": 967.38, "end": 967.7, "word": " came", "probability": 0.2117919921875}, {"start": 967.7, "end": 967.84, "word": " with", "probability": 0.6513671875}, {"start": 967.84, "end": 968.16, "word": " a", "probability": 0.6298828125}, {"start": 968.16, "end": 968.32, "word": " collection", "probability": 0.14453125}, {"start": 968.32, "end": 968.82, "word": " less", "probability": 0.529296875}, {"start": 968.82, "end": 969.08, "word": " than", "probability": 0.94873046875}, {"start": 969.08, "end": 969.2, "word": " its", "probability": 0.7705078125}, {"start": 969.2, "end": 969.42, "word": " power,", "probability": 0.5224609375}, {"start": 969.58, "end": 969.9, "word": " plus", "probability": 0.162353515625}, {"start": 969.9, "end": 970.58, "word": " three", "probability": 0.546875}, {"start": 970.58, "end": 970.76, "word": " for", "probability": 0.65380859375}, {"start": 970.76, "end": 971.08, "word": " example,", "probability": 0.951171875}, {"start": 971.72, "end": 971.8, "word": " and", "probability": 0.84423828125}, {"start": 971.8, "end": 971.94, "word": " here", "probability": 0.7666015625}, {"start": 971.94, "end": 972.04, "word": " I", "probability": 0.89990234375}, {"start": 972.04, "end": 972.2, "word": " have", "probability": 0.935546875}, {"start": 972.2, "end": 972.5, "word": " minus", "probability": 0.91845703125}, {"start": 972.5, "end": 972.92, "word": " five,", "probability": 0.8583984375}, {"start": 973.08, "end": 973.48, "word": " the", "probability": 0.44677734375}, {"start": 973.48, "end": 973.9, "word": " result", "probability": 0.376220703125}, {"start": 973.9, "end": 974.06, "word": " will", "probability": 0.7861328125}, {"start": 974.06, "end": 974.06, "word": " be", "probability": 0.919921875}, {"start": 974.06, "end": 974.44, "word": " minus", "probability": 0.9599609375}, {"start": 974.44, "end": 974.84, "word": " two,", "probability": 0.93310546875}, {"start": 974.96, "end": 975.12, "word": " so", "probability": 0.69775390625}, {"start": 975.12, "end": 975.6, "word": " the", "probability": 0.85546875}, {"start": 975.6, "end": 975.84, "word": " picture", "probability": 0.435302734375}, {"start": 975.84, "end": 976.14, "word": " will", "probability": 0.82177734375}, {"start": 976.14, "end": 976.24, "word": " also", "probability": 0.73486328125}, {"start": 976.24, "end": 976.38, "word": " be", "probability": 0.9306640625}, {"start": 976.38, "end": 976.74, "word": " virtual", "probability": 0.92626953125}], "temperature": 1.0}, {"id": 38, "seek": 99148, "start": 977.8, "end": 991.48, "text": "عشان نلخص الكلام هذا في بعض الأحيان ال minus lens sometimes can form real .. sometimes not all the times .. sometimes can form real image", "tokens": [3615, 8592, 7649, 8717, 1211, 9778, 9381, 2423, 28820, 10943, 23758, 8978, 45030, 11242, 16247, 5016, 1829, 7649, 2423, 3175, 6765, 2171, 393, 1254, 957, 4386, 2171, 406, 439, 264, 1413, 4386, 2171, 393, 1254, 957, 3256], "avg_logprob": -0.20641447760556875, "compression_ratio": 1.3548387096774193, "no_speech_prob": 0.0, "words": [{"start": 977.8000000000001, "end": 978.72, "word": "عشان", "probability": 0.763671875}, {"start": 978.72, "end": 979.16, "word": " نلخص", "probability": 0.774169921875}, {"start": 979.16, "end": 979.62, "word": " الكلام", "probability": 0.9612630208333334}, {"start": 979.62, "end": 979.98, "word": " هذا", "probability": 0.9033203125}, {"start": 979.98, "end": 980.42, "word": " في", "probability": 0.340087890625}, {"start": 980.42, "end": 980.88, "word": " بعض", "probability": 0.990966796875}, {"start": 980.88, "end": 981.56, "word": " الأحيان", "probability": 0.978759765625}, {"start": 981.56, "end": 982.46, "word": " ال", "probability": 0.904296875}, {"start": 982.46, "end": 982.9, "word": " minus", "probability": 0.84228515625}, {"start": 982.9, "end": 983.38, "word": " lens", "probability": 0.47607421875}, {"start": 983.38, "end": 983.98, "word": " sometimes", "probability": 0.83349609375}, {"start": 983.98, "end": 984.68, "word": " can", "probability": 0.9248046875}, {"start": 984.68, "end": 985.24, "word": " form", "probability": 0.91748046875}, {"start": 985.24, "end": 985.58, "word": " real", "probability": 0.91162109375}, {"start": 985.58, "end": 985.8, "word": " ..", "probability": 0.47119140625}, {"start": 985.8, "end": 986.26, "word": " sometimes", "probability": 0.904296875}, {"start": 986.26, "end": 986.72, "word": " not", "probability": 0.80859375}, {"start": 986.72, "end": 987.04, "word": " all", "probability": 0.95654296875}, {"start": 987.04, "end": 987.14, "word": " the", "probability": 0.94091796875}, {"start": 987.14, "end": 987.58, "word": " times", "probability": 0.87353515625}, {"start": 987.58, "end": 988.32, "word": " ..", "probability": 0.392578125}, {"start": 988.32, "end": 988.72, "word": " sometimes", "probability": 0.92626953125}, {"start": 988.72, "end": 989.44, "word": " can", "probability": 0.9560546875}, {"start": 989.44, "end": 990.66, "word": " form", "probability": 0.9248046875}, {"start": 990.66, "end": 991.04, "word": " real", "probability": 0.9033203125}, {"start": 991.04, "end": 991.48, "word": " image", "probability": 0.94287109375}], "temperature": 1.0}, {"id": 39, "seek": 100242, "start": 993.58, "end": 1002.42, "text": "for virtual object, but cannot at all, cannot at all form a real image for real object", "tokens": [2994, 6374, 2657, 11, 457, 2644, 412, 439, 11, 2644, 412, 439, 1254, 257, 957, 3256, 337, 957, 2657], "avg_logprob": -0.3189452990889549, "compression_ratio": 1.2463768115942029, "no_speech_prob": 3.516674041748047e-06, "words": [{"start": 993.58, "end": 993.94, "word": "for", "probability": 0.7392578125}, {"start": 993.94, "end": 994.36, "word": " virtual", "probability": 0.84033203125}, {"start": 994.36, "end": 994.94, "word": " object,", "probability": 0.724609375}, {"start": 995.08, "end": 995.32, "word": " but", "probability": 0.9150390625}, {"start": 995.32, "end": 995.7, "word": " cannot", "probability": 0.8388671875}, {"start": 995.7, "end": 996.4, "word": " at", "probability": 0.98095703125}, {"start": 996.4, "end": 996.84, "word": " all,", "probability": 0.955078125}, {"start": 997.32, "end": 997.78, "word": " cannot", "probability": 0.8740234375}, {"start": 997.78, "end": 998.22, "word": " at", "probability": 0.978515625}, {"start": 998.22, "end": 998.66, "word": " all", "probability": 0.95849609375}, {"start": 998.66, "end": 999.3, "word": " form", "probability": 0.6484375}, {"start": 999.3, "end": 1000.12, "word": " a", "probability": 0.54638671875}, {"start": 1000.12, "end": 1000.44, "word": " real", "probability": 0.95654296875}, {"start": 1000.44, "end": 1000.98, "word": " image", "probability": 0.94189453125}, {"start": 1000.98, "end": 1001.46, "word": " for", "probability": 0.88916015625}, {"start": 1001.46, "end": 1001.84, "word": " real", "probability": 0.77685546875}, {"start": 1001.84, "end": 1002.42, "word": " object", "probability": 0.97900390625}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 1007.467375, "duration_after_vad": 918.0112500000016}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/n-vQLCNZx6o.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/n-vQLCNZx6o.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d473802e8be6d3dbf59d16e37f886937b454ee76
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/n-vQLCNZx6o.srt
@@ -0,0 +1,2162 @@
+
+1
+00:00:02,330 --> 00:00:05,430
+بسم الله الرحمن الرحيم بنواصل محاضرات الـ
+
+2
+00:00:05,430 --> 00:00:08,910
+Geometric Optics ووصلنا لعند displacement of
+
+3
+00:00:08,910 --> 00:00:14,550
+images by prisms يعني إزاحة العدسات أو إزاحة الصور
+
+4
+00:00:14,550 --> 00:00:19,790
+لما نطلع عليها من خلال البرزمات لما نطلع عليها من
+
+5
+00:00:19,790 --> 00:00:23,860
+خلال البرزمات If a prism is introduced into the
+
+6
+00:00:23,860 --> 00:00:28,160
+path of convergent light, all light rays are bent
+
+7
+00:00:28,160 --> 00:00:30,820
+toward the base of the prism, and the image is
+
+8
+00:00:30,820 --> 00:00:34,940
+also displaced toward the base of the prism. What
+
+9
+00:00:34,940 --> 00:00:41,480
+does this mean? This means that if we have an
+
+10
+00:00:41,480 --> 00:00:45,920
+object, and we have a plus lens, and it forms a
+
+11
+00:00:45,920 --> 00:00:50,280
+picture at this point that I am pointing at, and we
+
+12
+00:00:50,280 --> 00:00:54,980
+put a prism in the path of convergent light as we
+
+13
+00:00:54,980 --> 00:00:58,800
+see now
+
+14
+00:00:58,800 --> 00:01:13,140
+we put a prism in
+
+15
+00:01:13,140 --> 00:01:16,000
+the path of convergent light which is going to do
+
+16
+00:01:16,000 --> 00:01:20,230
+what? The real image I print on the receipt paper
+
+17
+00:01:20,230 --> 00:01:22,650
+at this point exactly on the head of the marker,
+
+18
+00:01:23,350 --> 00:01:30,390
+but if I put a prism at this point in the path of
+
+19
+00:01:30,390 --> 00:01:34,250
+the convergent light, the prism will point all the
+
+20
+00:01:34,250 --> 00:01:38,810
+convergent rays towards its base towards its base
+
+21
+00:01:38,810 --> 00:01:42,370
+So, instead of forming here, it will form here,
+
+22
+00:01:42,470 --> 00:01:45,130
+but it will stay at the same distance from the
+
+23
+00:01:45,130 --> 00:01:49,590
+plus lens Meaning that the real image that is
+
+24
+00:01:49,590 --> 00:01:54,870
+received on a screen or on a receipt paper, A4
+
+25
+00:01:54,870 --> 00:01:57,970
+paper or any paper It becomes a projection towards
+
+26
+00:01:57,970 --> 00:02:00,790
+the base of the prism Okay, if we brought the base
+
+27
+00:02:00,790 --> 00:02:05,650
+of the prism which means we made it upside down
+
+28
+00:02:09,180 --> 00:02:11,720
+Sometimes, the image will not be placed here, it
+
+29
+00:02:11,720 --> 00:02:13,580
+will be placed up towards the base of the image,
+
+30
+00:02:14,120 --> 00:02:17,120
+which means that the prism always moves the rays
+
+31
+00:02:17,120 --> 00:02:19,500
+towards the base of the image. We will leave the
+
+32
+00:02:19,500 --> 00:02:23,120
+base down because the image is marked here that
+
+33
+00:02:23,120 --> 00:02:25,120
+the rays have fallen down, which means that the
+
+34
+00:02:25,120 --> 00:02:31,380
+prism moves the rays towards the base of the
+
+35
+00:02:31,380 --> 00:02:33,800
+image. This is a practical experiment using laser.
+
+36
+00:02:33,900 --> 00:02:39,480
+This is the incoming laser light entered from this
+
+37
+00:02:39,480 --> 00:02:42,800
+surface of the prism, this is the base and this is
+
+38
+00:02:42,800 --> 00:02:45,880
+the apex, the base is directed away from us and
+
+39
+00:02:45,880 --> 00:02:48,560
+the apex is towards us, the laser light when it
+
+40
+00:02:48,560 --> 00:02:50,380
+entered from the surface, it came out from the
+
+41
+00:02:50,380 --> 00:02:52,660
+other surface directed towards the base, towards
+
+42
+00:02:52,660 --> 00:02:57,980
+the side where the base is, so this case should be
+
+43
+00:02:57,980 --> 00:03:04,080
+clear God willing الآن صحيح الأشعة بتنحرف باتجاه ال
+
+44
+00:03:04,080 --> 00:03:09,100
+base بال real image ال real image بتلقاها باتجاه
+
+45
+00:03:09,100 --> 00:03:14,560
+ال base تلقي على ورقة التلقي بس لو أنا اتخيلت أنه
+
+46
+00:03:14,560 --> 00:03:19,240
+بدل ورقة التلقي عيني هي اللي هتتلقى الصورة يعني
+
+47
+00:03:19,240 --> 00:03:22,860
+بمعنى أخر ورقة التلقي هتكون هي الشبكية بتاعت عيني
+
+48
+00:03:22,860 --> 00:03:28,410
+هيكون الأشعة جاية من أعلى لأسفل في هذه الناحية If
+
+49
+00:03:28,410 --> 00:03:42,830
+we imagine the human eye here, then if ..
+
+50
+00:03:42,830 --> 00:03:48,990
+If we imagine the human eye here, and it is
+
+51
+00:03:48,990 --> 00:03:54,110
+looking at ..
+
+52
+00:03:54,110 --> 00:03:56,390
+we have to draw with other colors
+
+53
+00:04:01,060 --> 00:04:04,180
+On the basis that I have the white color here
+
+54
+00:04:41,830 --> 00:04:44,810
+So the rays will come to the inferior retina and
+
+55
+00:04:44,810 --> 00:04:47,410
+will appear to this eye as if it came from above,
+
+56
+00:04:47,690 --> 00:04:49,810
+as if it came along the length of the rays coming
+
+57
+00:04:49,810 --> 00:04:53,400
+out of the prism Why? Because of the connected
+
+58
+00:04:53,400 --> 00:04:55,880
+lines, not the dotted lines That came out of the
+
+59
+00:04:55,880 --> 00:04:57,820
+prism as a result of being directed towards the
+
+60
+00:04:57,820 --> 00:05:01,940
+base The person will see it on its extension As if
+
+61
+00:05:01,940 --> 00:05:05,120
+the object is here As if the object is here,
+
+62
+00:05:05,220 --> 00:05:08,720
+therefore we see the image towards the apex
+
+63
+00:05:08,720 --> 00:05:12,340
+Towards the apex, although the rays that are going
+
+64
+00:05:12,340 --> 00:05:14,720
+to form the image If on the reception paper, we
+
+65
+00:05:14,720 --> 00:05:17,970
+will find it towards the base It's like a ray of
+
+66
+00:05:17,970 --> 00:05:19,810
+light going to the base, but our perception of the
+
+67
+00:05:19,810 --> 00:05:23,010
+image as a ray of light, in another sense, we will
+
+68
+00:05:23,010 --> 00:05:25,290
+see it as if it is in the vacuum in this region,
+
+69
+00:05:25,590 --> 00:05:29,230
+because if we move these rays back, the image will
+
+70
+00:05:29,230 --> 00:05:32,010
+appear as if it came from here. So the imaginary
+
+71
+00:05:32,010 --> 00:05:37,210
+image that we feel is towards the apex of the
+
+72
+00:05:37,210 --> 00:05:41,070
+prism, and the real image that we perceive is
+
+73
+00:05:41,070 --> 00:05:44,090
+towards the base of the prism. Which is the real
+
+74
+00:05:44,090 --> 00:05:46,370
+image? The real image that I have created for
+
+75
+00:05:46,370 --> 00:05:49,300
+Blast Lens, It was supposed to be formed here on
+
+76
+00:05:49,300 --> 00:05:51,440
+the optical axis because the object came from the
+
+77
+00:05:51,440 --> 00:05:55,020
+optical axis. So it was supposed to be formed on
+
+78
+00:05:55,020 --> 00:05:58,100
+the optical axis. When we put the prism, the prism
+
+79
+00:05:58,100 --> 00:06:01,600
+turned all the rays towards its base. So when we
+
+80
+00:06:01,600 --> 00:06:04,380
+put the receipt paper, the image, the real image
+
+81
+00:06:04,380 --> 00:06:08,360
+of this object will form towards the base of the
+
+82
+00:06:08,360 --> 00:06:11,980
+prism. If we remove the receipt paper and look at
+
+83
+00:06:11,980 --> 00:06:14,260
+the image of the object through the prism, that
+
+84
+00:06:14,260 --> 00:06:17,340
+is, we hold the prism in this way, base down. In
+
+85
+00:06:17,340 --> 00:06:19,260
+front of our eyes and we look with our eyes at
+
+86
+00:06:19,260 --> 00:06:21,580
+this object, we will find the object as if it is
+
+87
+00:06:21,580 --> 00:06:24,080
+not in its place here, but at the top Why at the
+
+88
+00:06:24,080 --> 00:06:26,540
+top? Because of the number of rays that come from
+
+89
+00:06:26,540 --> 00:06:30,080
+the prism because we look through the prism,
+
+90
+00:06:30,120 --> 00:06:32,660
+through the prism Here is another example that
+
+91
+00:06:32,660 --> 00:06:35,520
+explains this point I have an object that is the
+
+92
+00:06:35,520 --> 00:06:40,460
+letter A I want to look at this object through the
+
+93
+00:06:40,460 --> 00:06:43,680
+prism We say as follows The light of the room fell
+
+94
+00:06:43,680 --> 00:06:50,150
+on the object Aturned from object A towards the
+
+95
+00:06:50,150 --> 00:06:54,190
+prism, the prism turned the rays coming from
+
+96
+00:06:54,190 --> 00:06:58,790
+object A towards its base towards its base if I
+
+97
+00:06:58,790 --> 00:07:01,850
+want to look at the letter A, of course the rays
+
+98
+00:07:01,850 --> 00:07:04,350
+are high, when the letter is towards the base, I
+
+99
+00:07:04,350 --> 00:07:06,570
+will see it as if it is coming along the
+
+100
+00:07:06,570 --> 00:07:09,740
+wavelength outside the prism means what will appear
+
+101
+00:07:09,740 --> 00:07:11,740
+to them, this is the image and this is considered
+
+102
+00:07:11,740 --> 00:07:15,620
+a virtual image, virtual image means not a real
+
+103
+00:07:15,620 --> 00:07:19,320
+picture but a fantastic picture that we felt up
+
+104
+00:07:19,320 --> 00:07:25,640
+towards the apex because we see anything على امتداد
+
+105
+00:07:25,640 --> 00:07:28,920
+الأشعع اللي وصلت عنا الاشعع اللي وصلت عنا هي اللي
+
+106
+00:07:28,920 --> 00:07:31,980
+خرجت من ال Prism واللي خرجت من ال Prism خرجت
+
+107
+00:07:31,980 --> 00:07:35,580
+باتجاه ال base طيب باتجاه ال base يعني جاية من فوق
+
+108
+00:07:35,580 --> 00:07:40,200
+لتحت هنشوف احنا في هذا المثال طبعا هنشوف الصورة
+
+109
+00:07:40,200 --> 00:07:43,640
+وكأنها يعني جاية في الأعلى على امتداد هذا الشعاع
+
+110
+00:07:43,640 --> 00:07:48,260
+اللي خارج من ال Prism اللي خارج من ال Prism in
+
+111
+00:07:48,260 --> 00:07:51,460
+this case the image is real إذا طلقناها إذا
+
+112
+00:07:51,460 --> 00:07:57,980
+طلقناها على يعني ورق التلقى، هنتلقى الصورة
+
+113
+00:07:57,980 --> 00:08:04,360
+الحقيقية باتجاه ال base, باتجاه ال base And real
+
+114
+00:08:04,360 --> 00:08:08,220
+images are displaced to where the base of the
+
+115
+00:08:08,220 --> 00:08:08,480
+prism
+
+116
+00:08:12,190 --> 00:08:15,990
+If we turn the light around making the image the
+
+117
+00:08:15,990 --> 00:08:18,630
+object and view the object through the prism, we
+
+118
+00:08:18,630 --> 00:08:21,890
+will see the virtual image of the object. The
+
+119
+00:08:21,890 --> 00:08:24,370
+object being viewed through the prism appears
+
+120
+00:08:24,370 --> 00:08:26,590
+displaced towards the apex of the prism.
+
+121
+00:08:32,050 --> 00:08:35,630
+If I leave the image and put the object in its
+
+122
+00:08:35,630 --> 00:08:39,190
+place and I click on the other side, the object
+
+123
+00:08:39,190 --> 00:08:42,830
+emits a divergent radiation that enters the prism
+
+124
+00:08:42,830 --> 00:08:48,480
+and now it forms a picture The rays will be
+
+125
+00:08:48,480 --> 00:08:50,720
+directed towards the base, so it will show the
+
+126
+00:08:50,720 --> 00:08:53,660
+object higher than what it is because it will be
+
+127
+00:08:53,660 --> 00:08:55,800
+on the extent of the rays that came out of the
+
+128
+00:08:55,800 --> 00:08:59,020
+prism, as we said a while ago So this image that I
+
+129
+00:08:59,020 --> 00:09:03,020
+see is the virtual image, which is always towards
+
+130
+00:09:03,020 --> 00:09:06,080
+the apex So the real image that I get on paper
+
+131
+00:09:06,080 --> 00:09:08,640
+that came out of the prism, of course the prism
+
+132
+00:09:08,640 --> 00:09:13,150
+does not make an image at all The prism changes the
+
+133
+00:09:13,150 --> 00:09:15,050
+location of the real image, what makes the real
+
+134
+00:09:15,050 --> 00:09:18,350
+image is the plus lens or the lens of the eye,
+
+135
+00:09:18,490 --> 00:09:21,650
+which is the cornea and the crystalline lens In
+
+136
+00:09:21,650 --> 00:09:24,670
+general, the convergent light that is going to
+
+137
+00:09:24,670 --> 00:09:27,550
+form a real image, if placed in the path of the
+
+138
+00:09:27,550 --> 00:09:30,600
+convergent light, the prism And it will point
+
+139
+00:09:30,600 --> 00:09:33,760
+towards the base of the librism. If the base is
+
+140
+00:09:33,760 --> 00:09:36,340
+down, the image will point down, but at the same
+
+141
+00:09:36,340 --> 00:09:39,320
+distance. If the image is up, the image will point
+
+142
+00:09:39,320 --> 00:09:45,100
+up. If the base is up, if I put the base of the
+
+143
+00:09:45,100 --> 00:09:47,480
+librism on the right, the image will point to the
+
+144
+00:09:47,480 --> 00:09:48,800
+right towards the base.
+
+145
+00:09:51,900 --> 00:09:53,800
+It does not change the distance of the image, but
+
+146
+00:09:53,800 --> 00:09:56,520
+it changes its location only on the same distance
+
+147
+00:09:56,520 --> 00:09:58,620
+because it does not have refractive power, but it
+
+148
+00:09:58,620 --> 00:10:02,460
+has deviating power, deviating power. Of course,
+
+149
+00:10:03,020 --> 00:10:06,100
+this is the real image. Well, if I want to see the
+
+150
+00:10:06,100 --> 00:10:11,490
+object through Through Librism, I will see the
+
+151
+00:10:11,490 --> 00:10:14,770
+number of rays coming out of the Librism. The rays
+
+152
+00:10:14,770 --> 00:10:16,690
+coming from the object coming out of the Librism.
+
+153
+00:10:16,850 --> 00:10:20,510
+In this case, the image will be virtual, not real.
+
+154
+00:10:20,850 --> 00:10:23,330
+I will see it towards the apex. I will see it
+
+155
+00:10:23,330 --> 00:10:26,610
+towards the apex. As the picture here shows.
+
+156
+00:10:29,890 --> 00:10:33,890
+إذن the object being viewed through the prism
+
+157
+00:10:33,890 --> 00:10:36,990
+appears displaced with the apex of the prism هو
+
+158
+00:10:36,990 --> 00:10:41,650
+حقيقة أي شيء بشوفه من خلال ال prism دائما بلاقي
+
+159
+00:10:41,650 --> 00:10:45,170
+صورته من حرفة باتجاه ال apex ليش؟ لأن الأشعة
+
+160
+00:10:45,170 --> 00:10:48,210
+الخارجة من ال prism من حرفة باتجاه ال base
+
+161
+00:10:53,870 --> 00:10:58,110
+In general, تلخيصا للكلام اللي .. اللي حكيناه
+
+162
+00:10:58,110 --> 00:11:01,870
+الآن, virtual images are displaced toward the apex
+
+163
+00:11:01,870 --> 00:11:05,810
+of the prism although light rays themselves are
+
+164
+00:11:05,810 --> 00:11:09,070
+bent toward the base يعني ال virtual image اللي
+
+165
+00:11:09,070 --> 00:11:13,290
+أنا بشوفها من خلال ال prism بتكون منحرفة أو جاية
+
+166
+00:11:13,290 --> 00:11:17,310
+باتجاه ال apexdespite the fact that the light ray
+
+167
+00:11:17,310 --> 00:11:21,670
+itself is directed towards the base directed
+
+168
+00:11:21,670 --> 00:11:25,070
+towards the base as the picture here clearly shows
+
+169
+00:11:25,070 --> 00:11:29,470
+this is the object that I want to look at the rays
+
+170
+00:11:29,470 --> 00:11:31,750
+themselves that are out of the object of course
+
+171
+00:11:31,750 --> 00:11:36,370
+here the arrow is wrong in drawing the arrow which
+
+172
+00:11:36,370 --> 00:11:38,290
+is the light ray that came out of the object it
+
+173
+00:11:38,290 --> 00:11:40,910
+should go towards the eye through the prism the
+
+174
+00:11:40,910 --> 00:11:42,850
+rays will enter the prism and will be directed
+
+175
+00:11:42,850 --> 00:11:46,780
+towards the base of the prism العين هتتلقى هذه
+
+176
+00:11:46,780 --> 00:11:50,380
+الأشعة و هتتخيل أنه ال object في الموقع هذا على
+
+177
+00:11:50,380 --> 00:11:54,220
+امتداد اللي هو الأشعة اللي خارجها من الprism
+
+178
+00:11:58,650 --> 00:12:01,850
+The images we see when looking through prisms is
+
+179
+00:12:01,850 --> 00:12:07,470
+always virtual images هذه قاعدة يعني لا استفاقات
+
+180
+00:12:07,470 --> 00:12:11,950
+لها، كل شيء بن .. بنشوفه من خلال ال prism، بنشوفه
+
+181
+00:12:11,950 --> 00:12:16,870
+باتجاه ال apex، باتجاه ال apex، دائما و دائما هو
+
+182
+00:12:16,870 --> 00:12:21,330
+virtual image، دائما virtual image This phenomenon,
+
+183
+00:12:21,570 --> 00:12:24,330
+هذه الظاهرة is the source of common teaching that
+
+184
+00:12:24,330 --> 00:12:28,050
+a prism displaced .. او displaces image towards
+
+185
+00:12:28,050 --> 00:12:34,170
+its apex يعني هذا الكلام اللي شرحناه قبل شوية هو
+
+186
+00:12:34,170 --> 00:12:39,390
+السر فيه انه كل المعلومات الماضية في المدارس و هذا
+
+187
+00:12:39,390 --> 00:12:45,350
+انه دائما المنشور بيحرف الصورة باتجاه ال apex
+
+188
+00:12:45,350 --> 00:12:49,410
+بتاعته .. باتجاه ال apex بتاعته So that's why this
+
+189
+00:12:49,410 --> 00:12:52,150
+.. why? Because we see the virtual image that
+
+190
+00:12:52,150 --> 00:12:56,670
+really looks like it deviated it were the apex of
+
+191
+00:12:56,670 --> 00:13:00,930
+depression Okay, today or now we will enter into a
+
+192
+00:13:00,930 --> 00:13:04,670
+very important topic which is the prismatic effect
+
+193
+00:13:04,670 --> 00:13:08,510
+of lenses
+
+223
+00:15:19,400 --> 00:15:22,340
+Based to base means the base of the article at the
+
+224
+00:15:22,340 --> 00:15:26,460
+top in the drawing here is attached to the base of
+
+225
+00:15:26,460 --> 00:15:29,240
+the article at the bottom which is the base of the
+
+226
+00:15:29,240 --> 00:15:30,980
+article which is at the top so two articles are
+
+227
+00:15:30,980 --> 00:15:33,600
+based to base and the minus lens is the opposite
+
+228
+00:15:33,600 --> 00:15:36,960
+two articles are attached addex to addex this is
+
+229
+00:15:36,960 --> 00:15:40,120
+the minus lens and this is the plus lens it is
+
+230
+00:15:40,120 --> 00:15:43,420
+known that the rays that enter the article are
+
+231
+00:15:43,420 --> 00:15:46,680
+directed in the direction of its base. The ray
+
+232
+00:15:46,680 --> 00:15:50,140
+enters the point at the top in the direction of
+
+233
+00:15:50,140 --> 00:15:53,840
+its base. And this is also in the direction of the
+
+234
+00:15:53,840 --> 00:15:57,440
+base, which is coming up. Therefore, in the group
+
+235
+00:15:57,440 --> 00:16:00,920
+of this lens, the rays rotate in the direction of
+
+236
+00:16:00,920 --> 00:16:03,280
+the optical axis. This is the optical axis in
+
+237
+00:16:03,280 --> 00:16:06,620
+green color. Here, it is the opposite. Here, the
+
+238
+00:16:06,620 --> 00:16:10,180
+rays rotate in the direction of the base. And here
+
+239
+00:16:10,180 --> 00:16:13,240
+the rays are directed towards the base, so the
+
+240
+00:16:13,240 --> 00:16:15,680
+result is that the lens as a whole directs the
+
+241
+00:16:15,680 --> 00:16:20,620
+rays away from the optical axis. And here, whether
+
+242
+00:16:20,620 --> 00:16:23,700
+the first, second, third and fourth example,
+
+243
+00:16:24,020 --> 00:16:26,480
+always the rays are directed towards the base of
+
+244
+00:16:26,480 --> 00:16:29,320
+the marker. So if the base is away from the optical
+
+245
+00:16:29,320 --> 00:16:31,900
+axis, it means that the lens directs the rays away
+
+246
+00:16:31,900 --> 00:16:34,740
+from the optical axis, or as we used to say a long
+
+247
+00:16:34,740 --> 00:16:38,310
+time ago, deflects them. If the base of the pointer
+
+248
+00:16:38,310 --> 00:16:41,410
+is near or coming to the optical axis, then the
+
+249
+00:16:41,410 --> 00:16:45,030
+rays will move towards the optical axis and this
+
+250
+00:16:45,030 --> 00:16:47,990
+is the secret of the sentence that in plus lenses,
+
+251
+00:16:48,190 --> 00:16:52,310
+the prism power bends, light rays towards the
+
+252
+00:16:52,310 --> 00:16:55,450
+optical axis and in minus lenses, the light bends
+
+253
+00:16:55,450 --> 00:16:58,730
+away from the optical axis. Now there is a question
+
+254
+00:16:58,730 --> 00:17:03,040
+that raises itself, we said. It means that the lens
+
+255
+00:17:03,040 --> 00:17:08,660
+acts as a lens and also as a pointer in every
+
+256
+00:17:08,660 --> 00:17:11,620
+point of a point, I mean, at the point Sin, Sad,
+
+257
+00:17:11,780 --> 00:17:15,660
+Ain, Lam, Alif, Bawa, etc. Okay? And here it's the
+
+258
+00:17:15,660 --> 00:17:18,960
+same thing. You see, if we take a sample from us,
+
+259
+00:17:19,880 --> 00:17:22,020
+the sample is a point.
+
+260
+00:17:32,410 --> 00:17:42,330
+I have these points, but let's color
+
+261
+00:17:42,330 --> 00:17:53,550
+them with different colors to
+
+262
+00:17:53,550 --> 00:17:54,430
+make things clear.
+
+263
+00:18:09,280 --> 00:18:27,160
+مش واضح كتير اوضح
+
+264
+00:18:27,160 --> 00:18:27,620
+شوية
+
+265
+00:18:43,110 --> 00:18:52,170
+These are samples. So 
+
+266
+00:18:52,170 --> 00:18:58,890
+that we can reach 
+
+267
+00:18:58,890 --> 00:19:00,530
+the idea that we want to clarify.
+
+268
+00:19:13,940 --> 00:19:16,420
+This applies to the plus lens and to the minus
+
+269
+00:19:16,420 --> 00:19:24,400
+lens. It took us four points on the 
+
+270
+00:19:24,400 --> 00:19:27,000
+plus lens and also this applies to the minus lens.
+
+271
+00:19:27,000 --> 00:19:30,680
+If we ask a question, the point is this, and this
+
+272
+00:19:30,680 --> 00:19:35,110
+point, and this point, and this point. قولنا العدسة
+
+273
+00:19:35,110 --> 00:19:39,410
+عند هذه النقاط بتشتغل و عند أي نقطة بتشتغل كمنشور
+
+274
+00:19:39,410 --> 00:19:42,730
+بالإضافة لشغلها كعدسة، إيش يعني كمنشور؟ يعني 
+
+275
+00:19:42,730 --> 00:19:46,790
+بتتصرف كإنها منشور، يعني ال light ray اللي هيعدي
+
+276
+00:19:46,790 --> 00:19:51,400
+من النقطة هاي، هيكون عدة من منشور and the light ray 
+
+277
+00:19:51,400 --> 00:19:53,640
+that will pass through this point will pass
+
+278
+00:19:53,640 --> 00:19:55,780
+through the lens of course in addition to passing
+
+279
+00:19:55,780 --> 00:19:57,460
+through the lens and here the same thing and here 
+
+280
+00:19:57,460 --> 00:20:00,080
+the same thing the lens does not act as a 
+
+281
+00:20:00,080 --> 00:20:02,760
+magnifying glass when it passes through the
+
+282
+00:20:02,760 --> 00:20:07,180
+optical center only. Okay, now the question that he
+
+283
+00:20:07,180 --> 00:20:10,220
+wants to ask himself is the force of the
+
+284
+00:20:10,220 --> 00:20:12,730
+magnifying glass here. Is it the same force that is
+
+285
+00:20:12,730 --> 00:20:14,830
+written here? Is it the same force that is written
+
+286
+00:20:14,830 --> 00:20:16,690
+here? Is it the same force that is written here?
+
+287
+00:20:17,230 --> 00:20:20,850
+Is it the same force that is written here? Or is 
+
+288
+00:20:20,850 --> 00:20:25,310
+there a difference in the force that is written to
+
+289
+00:20:25,310 --> 00:20:28,290
+the different points near and far from the optical
+
+290
+00:20:28,290 --> 00:20:31,430
+axis? This is the secret of the title of this
+
+291
+00:20:31,430 --> 00:20:34,490
+lecture, Prismatic Effect of Lenses, Prismatic 
+
+292
+00:20:34,490 --> 00:20:38,870
+Effect of Lenses, which is the printed effect of 
+
+293
+00:20:38,870 --> 00:20:42,310
+the lenses, which is plus and minus. So to know
+
+294
+00:20:42,310 --> 00:20:47,590
+this, we need to say as follows. The lens acts as
+
+295
+00:20:47,590 --> 00:20:51,490
+if it is printed in all its points except for one
+
+296
+00:20:51,490 --> 00:20:57,490
+point, which is the optical center. So we need to
+
+297
+00:20:57,490 --> 00:21:01,680
+imagine that we have a beamlight ray, this light 
+
+298
+00:21:01,680 --> 00:21:04,480
+ray passed through the point C, which I am
+
+299
+00:21:04,480 --> 00:21:08,500
+pointing at exactly, this point, which has the
+
+300
+00:21:08,500 --> 00:21:14,620
+arrow of the mouse, so it deviated and entered FB. 
+
+301
+00:21:14,700 --> 00:21:17,920
+Why did it enter FB? If we remember that the light
+
+302
+00:21:17,920 --> 00:21:20,340
+ray that is parallel to the optical axis in the
+
+303
+00:21:20,340 --> 00:21:24,600
+plus lens, parallel to the optical axis, it will
+
+304
+00:21:24,600 --> 00:21:27,760
+enter FB after exiting the lens. Okay, it entered 
+
+305
+00:21:27,760 --> 00:21:32,520
+FB and stayed straight ahead to meet with another
+
+306
+00:21:32,520 --> 00:21:36,420
+beam and form the image. Okay, if the lens is not 
+
+307
+00:21:36,420 --> 00:21:43,300
+present, this beam will keep moving in a straight
+
+308
+00:21:43,300 --> 00:21:47,720
+way to infinity. Okay, we will come to a distance
+
+309
+00:21:47,720 --> 00:21:52,270
+of 100 cm from the lens. ونقول يا ترى كام صنطي 
+
+310
+00:21:52,270 --> 00:21:55,590
+الشعاع انحرف عن طريقه الأساسي هذا الطريق الأساسي 
+
+311
+00:21:55,590 --> 00:22:01,390
+اللي كان مفترض ياخده اللي كان مفترض يضله عليه او 
+
+312
+00:22:01,390 --> 00:22:06,630
+ياخده إذا العدسة مش موجودة فبنقول احنا مثلا عدد من 
+
+313
+00:22:06,630 --> 00:22:09,830
+الصنطيات هذه العدد من الصنطيات يساوي ال prism ده 
+
+314
+00:22:09,830 --> 00:22:13,990
+يبتر وكأنه هنا واقف ال prism. It has a certain power
+
+315
+00:22:13,990 --> 00:22:15,970
+that is equal to the number of protons that is
+
+316
+00:22:15,970 --> 00:22:17,790
+equal to the radius of the lens. We said that the 
+
+317
+00:22:17,790 --> 00:22:20,770
+lens is considered to be marked in every point
+
+318
+00:22:20,770 --> 00:22:25,010
+except the optical center. Except the optical
+
+319
+00:22:25,010 --> 00:22:27,450
+center. Well, the rays did not enter the optical
+
+320
+00:22:27,450 --> 00:22:29,650
+center, so they entered a point. This point is
+
+321
+00:22:29,650 --> 00:22:33,490
+considered to be a lens as it is marked. How much
+
+322
+00:22:33,490 --> 00:22:36,870
+is the force of the mark at this point? In order
+
+323
+00:22:36,870 --> 00:22:39,130
+to know how much is the force of the mark at this
+
+324
+00:22:39,130 --> 00:22:43,150
+point, in the lens, the publishing force at this 
+
+325
+00:22:43,150 --> 00:22:45,930
+point, we want to see at a distance of 100 cm, how
+
+326
+00:22:45,930 --> 00:22:50,730
+many centimeters the rays have deviated. Here, if
+
+327
+00:22:50,730 --> 00:22:52,630
+it is 2 cm, it means that the publishing force 
+
+328
+00:22:52,630 --> 00:22:56,030
+here is 2 Prism Diopter. If it is 10 cm, it means
+
+329
+00:22:56,030 --> 00:22:57,930
+that it is 10 Prism Diopter. It is the number of
+
+330
+00:22:57,930 --> 00:23:02,410
+centimeters that the beam is away from its
+
+331
+00:23:02,410 --> 00:23:05,050
+original path. Where do I measure it? At a 
+
+332
+00:23:05,050 --> 00:23:06,990
+distance of 100 cm. I measure it at a distance of
+
+333
+00:23:06,990 --> 00:23:10,040
+100 cm. So this distance is 100 cm, and this
+
+334
+00:23:10,040 --> 00:23:13,340
+distance is represented by the prism diopter if we 
+
+335
+00:23:13,340 --> 00:23:16,140
+say 3 prism, it means this distance is 3 cm, 10 
+
+336
+00:23:16,140 --> 00:23:23,300
+prism means 10 cm, 5 prism means 5 cm. Now this
+
+337
+00:23:23,300 --> 00:23:25,680
+point where the light rail entered, which is
+
+338
+00:23:25,680 --> 00:23:29,060
+parallel to the optical axis moves away from the
+
+339
+00:23:29,060 --> 00:23:35,780
+optical center to HH, is drawn here, but to
+
+340
+00:23:35,780 --> 00:23:39,140
+clarify, this distance is the same as this 
+
+341
+00:23:39,140 --> 00:23:42,640
+distance. This distance from the point C where the
+
+342
+00:23:42,640 --> 00:23:48,080
+ray entered, is away from 
+
+343
+00:23:48,080 --> 00:23:52,580
+the optical center of the lens. Now let's go to
+
+344
+00:23:52,580 --> 00:23:54,200
+this drawing, but in another way.
+
+345
+00:24:00,520 --> 00:24:04,080
+It's the same drawing, but we colored this
+
+346
+00:24:04,080 --> 00:24:07,740
+triangle with a certain color. One of them is one 
+
+347
+00:24:07,740 --> 00:24:09,520
+hundred centimeters, and the other one is the
+
+348
+00:24:09,520 --> 00:24:12,300
+number of centimeters equal to the Prism of the
+
+349
+00:24:12,300 --> 00:24:15,920
+Diopter, or the force of the force exerted on this
+
+350
+00:24:15,920 --> 00:24:23,120
+point. This distance is h, this distance, one over
+
+351
+00:24:23,120 --> 00:24:25,100
+the diopter, which is the focal, the distance of
+
+352
+00:24:25,100 --> 00:24:28,040
+the pupil behind one over the diopter if I want in
+
+353
+00:24:28,040 --> 00:24:31,300
+meters. But I have here all centimeters, so one
+
+354
+00:24:31,300 --> 00:24:34,040
+hundred centimeters over this, this distance equals 
+
+355
+00:24:34,040 --> 00:24:35,540
+one hundred centimeters over this. That is, if we
+
+356
+00:24:35,540 --> 00:24:39,660
+say this lens plus five diopters, its pupil if it
+
+357
+00:24:39,660 --> 00:24:43,940
+is in the air is one over five, and equals five 
+
+358
+00:24:43,940 --> 00:24:46,040
+meters, of course, I want to go with the centimeter
+
+359
+00:24:46,040 --> 00:24:49,450
+we say one hundred centimeters over this, and it's
+
+360
+00:24:49,450 --> 00:24:51,670
+equal to 20 cm. It's the same thing, it's the same
+
+361
+00:24:51,670 --> 00:24:56,450
+thing, so this distance is h. The angle of the 
+
+362
+00:24:56,450 --> 00:25:00,790
+blue triangle that we see, this angle is h, and
+
+363
+00:25:00,790 --> 00:25:05,970
+this angle is 100 cm over D, this angle of the 
+
+364
+00:25:05,970 --> 00:25:09,990
+pentagon is 100 cm, and this angle is represented
+
+365
+00:25:09,990 --> 00:25:13,410
+by the letter Libra, okay. Now we come to
+
+366
+00:25:18,010 --> 00:25:20,090
+We want to take the drawing and make it smaller
+
+367
+00:25:20,090 --> 00:25:24,050
+and
+
+368
+00:25:24,050 --> 00:25:27,750
+go
+
+369
+00:25:27,750 --> 00:25:32,230
+to the equations, make 
+
+370
+00:25:32,230 --> 00:25:38,830
+it smaller at the end and take what is not 
+
+371
+00:25:38,830 --> 00:25:39,590
+necessary from it.
+
+372
+00:25:52,720 --> 00:26:00,880
+and transfer it here, then exit. It didn't show up.
+
+373
+00:26:00,880 --> 00:26:02,280
+and maybe it wants to...
+
+374
+00:26:51,620 --> 00:26:52,240
+Okay,
+
+375
+00:26:55,040 --> 00:27:01,640
+then we
+
+376
+00:27:01,640 --> 00:27:06,720
+just need to say that this angle in the triangle
+
+377
+00:27:06,720 --> 00:27:11,500
+of the column of the angle is equal to this angle 
+
+378
+00:27:11,500 --> 00:27:14,780
+in the triangle of the column of the angle by 
+
+379
+00:27:14,780 --> 00:27:16,480
+alternation.
+
+380
+00:27:20,010 --> 00:27:22,530
+The angle of this angle is equal to the angle of 
+
+381
+00:27:22,530 --> 00:27:27,590
+this angle. Let's see how it works. The angle of 
+
+382
+00:27:27,590 --> 00:27:31,310
+this angle is equal to the angle of this angle. The 
+
+383
+00:27:31,310 --> 00:27:34,610
+angle of this angle is equivalent to the
+
+384
+00:27:34,610 --> 00:27:38,110
+circumference. The equivalent is H and the 
+
+385
+00:27:38,110 --> 00:27:42,990
+circumference is 100 cm over D. So, H over 100 cm 
+
+386
+00:27:42,990 --> 00:27:46,550
+over D is equal to the angle of this angle which
+
+387
+00:27:46,550 --> 00:27:50,580
+is equivalent to the number of prism diopters, on 
+
+388
+00:27:50,580 --> 00:27:53,380
+100 cm, the opposite on the adjacent, so the 
+
+389
+00:27:53,380 --> 00:27:56,360
+opposite on the adjacent is equal to the opposite
+
+390
+00:27:56,360 --> 00:27:59,320
+on the adjacent. Why? Because these are 
+
+391
+00:27:59,320 --> 00:28:01,600
+contradictory triples, that is, their angles are 
+
+392
+00:28:01,600 --> 00:28:03,980
+equal, so this angle is equal to this angle by
+
+393
+00:28:03,980 --> 00:28:07,420
+alternation, since they are equal, then this
+
+394
+00:28:07,420 --> 00:28:09,380
+shadow is equal to this shadow. Then what is this
+
+395
+00:28:09,380 --> 00:28:13,220
+shadow? H on 100 cm on D, and what is this shadow?
+
+396
+00:28:14,580 --> 00:28:19,720
+Librism on 100 cm. So, H on 100 cm on D is equal 
+
+397
+00:28:19,720 --> 00:28:27,960
+to Librism on 100 cm. Okay, let's take this case, and 
+
+398
+00:28:27,960 --> 00:28:37,960
+say as usual. We
+
+399
+00:28:37,960 --> 00:28:39,260
+want to solve this case.
+
+400
+00:28:45,100 --> 00:28:46,840
+We will take the equation from the beginning, and 
+
+401
+00:28:46,840 --> 00:28:50,900
+we will get to
+
+402
+00:28:50,900 --> 00:28:56,340
+the
+
+403
+00:28:56,340 --> 00:29:02,060
+new equation. We say, H
+
+404
+00:29:02,060 --> 00:29:06,600
+over 100 cm by D is equal to Prism by 100 cm. The 
+
+405
+00:29:06,600 --> 00:29:09,340
+position of the position is simple, that is, H by 
+
+406
+00:29:09,340 --> 00:29:14,300
+D over 100 cm
+
+407
+00:29:19,110 --> 00:29:27,050
+يساوي لبرزم على 
+
+408
+00:29:27,050 --> 00:29:34,110
+ميت صنطي طالما في المقام عند هنا ميت صنطي أسف 
+
+409
+00:29:34,110 --> 00:29:38,470
+طالما هنا في المقام ميت صنطي في المقام ميت صنطي 
+
+410
+00:29:38,470 --> 00:29:45,510
+بنضرب في ميت صنطي الجهتين فبصف عندى HD
+
+411
+00:29:48,300 --> 00:30:02,300
+يساوي Librism, H
+
+41
+
+445
+00:33:35,210 --> 00:33:41,550
+30 Prism Diopter The point C is 1.5 cm away from 
+
+446
+00:33:41,550 --> 00:33:45,390
+the optical center We want to see the subject at
+
+447
+00:33:45,390 --> 00:33:45,790
+SAT
+
+448
+00:33:50,080 --> 00:33:53,640
+the prismatic effect at the point SAD is equal to
+
+449
+00:33:53,640 --> 00:34:09,740
+the point SAD the 
+
+450
+00:34:09,740 --> 00:34:14,580
+point 
+
+451
+00:34:14,580 --> 00:34:21,500
+SAD is half a centimeter in the diopter which is 20 
+
+452
+00:34:21,500 --> 00:34:24,800
+diopters, so the force is constant, half in 
+
+453
+00:34:24,800 --> 00:34:32,160
+twenty, so ten prisms, ten prisms, so the further 
+
+454
+00:34:32,160 --> 00:34:36,400
+the point is from the optical center, the stronger 
+
+455
+00:34:36,400 --> 00:34:40,980
+its magnetic field is, so here the magnetic field 
+
+456
+00:34:40,980 --> 00:34:42,800
+is stronger than here, and here stronger than 
+
+457
+00:34:42,800 --> 00:34:44,300
+here, and here stronger than here, and here 
+
+458
+00:34:44,300 --> 00:34:45,780
+stronger than here, until it reaches the optical 
+
+459
+00:34:45,780 --> 00:34:49,180
+center Away from the optical center, from the 
+
+460
+00:34:49,180 --> 00:34:52,620
+optical center, zero. So when H is zero in D, 
+
+461
+00:34:52,760 --> 00:34:54,400
+everything multiplied by zero becomes zero. So 
+
+462
+00:34:54,400 --> 00:34:57,420
+there is no printed effect at the optical center. 
+
+463
+00:34:57,500 --> 00:34:59,940
+This is a point. The second point, which is the 
+
+464
+00:34:59,940 --> 00:35:02,120
+last example, in which we will end the lecture, 
+
+465
+00:35:02,260 --> 00:35:06,320
+God willing. We have the same case. 
+
+466
+00:35:09,580 --> 00:35:10,540
+I have a lens. 
+
+467
+00:35:15,180 --> 00:35:18,560
+Plus twenty diopters in the first case We write
+
+468
+00:35:18,560 --> 00:35:26,520
+plus twenty diopters on it And
+
+469
+00:35:26,520 --> 00:35:39,200
+another lens Plus
+
+470
+00:35:39,200 --> 00:35:41,040
+five diopters
+
+471
+00:35:45,810 --> 00:35:48,010
+This is the first plus twenty and the second plus
+
+472
+00:35:48,010 --> 00:36:01,590
+five This is the optical axis of the first And 
+
+473
+00:36:01,590 --> 00:36:11,070
+this is the optical axis of the second I
+
+474
+00:36:11,070 --> 00:36:12,070
+have a point
+
+475
+00:36:26,980 --> 00:36:32,820
+Scene In the plus 5 lens is one centimeter away 
+
+476
+00:36:36,060 --> 00:36:38,540
+from the optical center and this is also one 
+
+477
+00:36:38,540 --> 00:36:40,920
+centimeter away from the optical center from the 
+
+478
+00:36:40,920 --> 00:36:46,020
+optical center what is the effect of the plus 20 
+
+479
+00:36:46,020 --> 00:36:48,760
+lens on the point C which is one centimeter away 
+
+480
+00:36:48,760 --> 00:36:52,420
+from the optical center and what is the effect of
+
+481
+00:36:52,420 --> 00:36:57,800
+another point in the lens which is also called C
+
+482
+00:36:57,800 --> 00:37:01,040
+in the plus 5 lens which is one centimeter away
+
+483
+00:37:08,080 --> 00:37:17,580
+The printed effect is
+
+484
+00:37:17,580 --> 00:37:20,100
+also one centimeter The distance is one, but the
+
+485
+00:37:20,100 --> 00:37:22,080
+power of the lenses is different We say that the
+
+486
+00:37:22,080 --> 00:37:24,920
+printed effect at any point is equal to H in D and
+
+487
+00:37:24,920 --> 00:37:28,600
+is equal to We calculate for the plus 20 lens H is
+
+488
+00:37:28,600 --> 00:37:34,760
+one centimeter times twenty diopters is equal to
+
+489
+00:37:34,760 --> 00:37:48,550
+twenty prism diopters twentyprism diopter this
+
+490
+00:37:48,550 --> 00:37:54,130
+is the effect of the point C which is 1 cm away if
+
+491
+00:37:54,130 --> 00:37:58,110
+there is a ray that enters this point it is as if
+
+492
+00:37:58,110 --> 00:38:01,370
+it entered a ray with a force of 20 prism diopter 
+
+493
+00:38:07,840 --> 00:38:12,700
+To a point which is 1cm away from the other point,
+
+494
+00:38:12,760 --> 00:38:18,080
+we say hd is equal to 1cm multiplied by 5
+
+495
+00:38:18,080 --> 00:38:26,990
+diopters, which is equal to 5 prism diopters So,
+
+496
+00:38:27,570 --> 00:38:32,370
+the more the distance is away from the optical
+
+497
+00:38:32,370 --> 00:38:35,310
+center, the greater the effect of the prismatic
+
+498
+00:38:35,310 --> 00:38:39,210
+effect, and the stronger the lens is, the greater
+
+499
+00:38:39,210 --> 00:38:42,830
+the effect of the prismatic effect Yes, now a
+
+500
+00:38:42,830 --> 00:38:45,370
+person may ask a question, okay, what about the
+
+501
+00:38:45,370 --> 00:38:49,110
+minus lenses? Before we talk about the minus
+
+502
+00:38:49,110 --> 00:38:52,050
+lenses, we say that it is not enough, it is not
+
+503
+00:38:52,050 --> 00:38:55,780
+enough at allis to say that the effect of the 
+
+504
+00:38:55,780 --> 00:39:01,060
+article is such and such 30, 20, 10, 15, 1.5, etc.
+
+505
+00:39:01,760 --> 00:39:04,420
+but it must .. as long as we say article, we must 
+
+506
+00:39:04,420 --> 00:39:08,700
+define the direction of its base this is very 
+
+507
+00:39:08,700 --> 00:39:15,720
+simple, we say as follows we
+
+508
+00:39:15,720 --> 00:39:19,920
+said that the plus index is two articles base to 
+
+509
+00:39:19,920 --> 00:39:25,050
+base this is article base to the bottom, and this
+
+510
+00:39:25,050 --> 00:39:28,190
+is the base with the highest point I ask myself a
+
+511
+00:39:28,190 --> 00:39:30,170
+question, these two points that I gave as
+
+512
+00:39:30,170 --> 00:39:33,590
+examples, where is their base going? to the 
+
+513
+00:39:33,590 --> 00:39:41,570
+bottom, so base down it means it has BD base
+
+514
+00:39:41,570 --> 00:39:41,930
+down
+
+515
+00:39:50,610 --> 00:39:54,510
+I say at the point C, the printed effect is 30 
+
+516
+00:39:54,510 --> 00:39:57,630
+Prism Diopter Base Down And as if at the point C,
+
+517
+00:39:58,210 --> 00:40:00,870
+there is a printed base at the bottom and its
+
+518
+00:40:00,870 --> 00:40:05,250
+force is 30 Prism Diopter Well, the point C is 
+
+519
+00:40:05,250 --> 00:40:08,510
+also present in the printed part or in the part of
+
+520
+00:40:08,510 --> 00:40:10,930
+the lens that is considered to be printed with its
+
+521
+00:40:10,930 --> 00:40:14,490
+base down I also say what is this? Base Down Base
+
+522
+00:40:14,490 --> 00:40:15,570
+Down
+
+523
+00:40:17,970 --> 00:40:24,250
+It's marked with BD Here's the next example We say 
+
+524
+00:40:24,250 --> 00:40:29,630
+as follows This one is also based down And this
+
+525
+00:40:29,630 --> 00:40:33,070
+one is also based down Because it's present inside
+
+526
+00:40:33,070 --> 00:40:37,190
+the article Its
+
+527
+00:40:37,190 --> 00:40:40,350
+base is down Base down of course 
+
+528
+00:40:59,060 --> 00:41:03,440
+Base down Base down For the minus lenses, it's the
+
+529
+00:41:03,440 --> 00:41:06,540
+same thing, no difference at all If we draw a 
+
+530
+00:41:06,540 --> 00:41:10,360
+minus lens We
+
+531
+00:41:10,360 --> 00:41:13,140
+say this minus lens has a force of minus seven 
+
+532
+00:41:13,140 --> 00:41:19,520
+diopters Minus seven diopters We say minus seven 
+
+533
+00:41:19,520 --> 00:41:25,840
+diopters If I choose a point in it for example 
+
+534
+00:41:34,280 --> 00:41:38,180
+This point is away from the optical center. This 
+
+535
+00:41:38,180 --> 00:41:41,320
+is the optical center. Let's draw the optical axis
+
+536
+00:41:41,320 --> 00:41:44,740
+as well so that everything is complete here. 
+
+537
+00:41:48,820 --> 00:41:51,760
+This is the optical axis. This point C is away
+
+538
+00:41:51,760 --> 00:41:57,530
+fromaway from the optical center 0.5 cm away from
+
+539
+00:41:57,530 --> 00:42:00,990
+the optical 
+
+540
+00:42:00,990 --> 00:42:08,530
+center 0.5 cm away from the optical center 0.5 cm
+
+541
+00:42:08,530 --> 00:42:09,090
+away from the optical center 0.5 cm away from the
+
+542
+00:42:09,090 --> 00:42:09,270
+optical center 0.5 cm away from the optical center
+
+543
+00:42:09,270 --> 00:42:09,550
+0.5 cm away from the optical center 0.5 cm away
+
+544
+00:42:09,550 --> 00:42:09,650
+from the optical center 0.5 cm away from the 
+
+545
+00:42:09,650 --> 00:42:10,430
+optical center 0.5 cm away from the optical center 
+
+546
+00:42:10,430 --> 00:42:11,630
+0.5 cm away from the optical center 0.5 cm away 
+
+547
+00:42:11,630 --> 00:42:14,950
+from the optical 
+
+548
+00:42:14,950 --> 00:42:19,890
+center 0.5 cm away from the optical center 0.5 cm 
+
+549
+00:42:19,890 --> 00:42:20,270
+away from the optical center 0.5 cm away from the 
+
+550
+00:42:20,270 --> 00:42:21,580
+0.5 cm away from the optical center 0.Seven and a 
+
+551
+00:42:21,580 --> 00:42:27,800
+half times three and a half equals three
+
+552
+00:42:27,800 --> 00:42:32,520
+and a half prism diopter But it's not enough to 
+
+553
+00:42:32,520 --> 00:42:36,280
+say it, we have to say the base is down or up or 
+
+554
+00:42:36,280 --> 00:42:40,300
+in or out Here we say this point is present in the 
+
+555
+00:42:40,300 --> 00:42:43,240
+part of the lens where the base is up or down, so 
+
+556
+00:42:43,240 --> 00:42:47,300
+we say base up Exactly, here if you notice we 
+
+557
+00:42:47,300 --> 00:42:51,250
+didn't use signsBut the shape of the lens is what 
+
+558
+00:42:51,250 --> 00:42:54,490
+decides if the base is down or up or right or
+
+559
+00:42:54,490 --> 00:42:57,110
+left, depending on the direction of the base,
+
+560
+00:42:57,150 --> 00:42:59,930
+depending on the direction of the base Okay, if we
+
+561
+00:42:59,930 --> 00:43:05,110
+say that a person is wearing glasses and we took a 
+
+562
+00:43:05,110 --> 00:43:05,890
+cross section
+
+563
+00:43:13,370 --> 00:43:17,550
+وقولنا لهو بده يطلع، يعني عينه مابتطلعش straight،
+
+564
+00:43:17,550 --> 00:43:22,750
+بتطلع ع اليمين، يعني بده يطلع من خلال هذه النقطة،
+
+565
+00:43:22,750 --> 00:43:30,630
+بده يطلع من خلال هذه النقطة، بتطلعش من وسط
+
+566
+00:43:30,630 --> 00:43:34,470
+النضارة، بتطلع من طرف النضارة الأيمن، هدي عينه
+
+567
+00:43:34,470 --> 00:43:35,710
+اليمين هنا
+
+568
+00:43:47,180 --> 00:43:54,200
+it is generated through the
+
+569
+00:43:54,200 --> 00:43:58,500
+right
+
+570
+00:43:58,500 --> 00:43:58,840
+side 
+
+571
+00:44:37,950 --> 00:44:46,690
+I'm sorry It's 
+
+572
+00:44:46,690 --> 00:44:49,130
+pointing in this direction, let's try to draw it
+
+573
+00:44:49,130 --> 00:44:52,750
+with an arrow I mean, its eye is pointed through
+
+574
+00:44:52,750 --> 00:44:59,150
+this point Through 
+
+575
+00:44:59,150 --> 00:45:04,730
+this point, which is through the cross If we
+
+576
+00:45:04,730 --> 00:45:09,700
+calculate the influence of Manchuria The result is 
+
+577
+00:45:09,700 --> 00:45:11,440
+that he is looking from this point, not from the 
+
+578
+00:45:11,440 --> 00:45:14,040
+optical center, that is, the lens at this point is 
+
+579
+00:45:14,040 --> 00:45:16,200
+as if it is placed in front of his eye, not just a
+
+580
+00:45:16,200 --> 00:45:19,100
+minus lens, and also printed Let's calculate the
+
+581
+00:45:19,100 --> 00:45:21,840
+printed effect, we say that this lens, of course,
+
+582
+00:45:22,020 --> 00:45:26,080
+the point is away from the optical center It is
+
+583
+00:45:26,080 --> 00:45:28,000
+horizontally away from the edge distance, which is
+
+584
+00:45:28,000 --> 00:45:29,740
+one centimeter, we want to assume that it is one 
+
+585
+00:45:29,740 --> 00:45:33,260
+centimeter No As if
+
+586
+00:45:40,360 --> 00:45:44,300
+prismatic effect at this point is equal to one 
+
+587
+00:45:44,300 --> 00:45:47,500
+centimeter which is the distance times seven
+
+588
+00:45:47,500 --> 00:45:51,220
+prisms we are minus seven diopters we only depend
+
+589
+00:45:51,220 --> 00:45:54,440
+on the number and it is equal to seven prisms 
+
+590
+00:45:54,440 --> 00:46:01,580
+seven prisms seven prisms where is the base of
+
+591
+00:46:01,580 --> 00:46:04,380
+this prism? it emerges through this part of the 
+
+592
+00:46:04,380 --> 00:46:07,620
+lens as shown here it emerges through this part 
+
+593
+00:46:07,620 --> 00:46:11,590
+this part has its base out بالنسبة للعين اليمين 
+
+594
+00:46:11,590 --> 00:46:15,850
+جاية base out، بقى بنقول base out، فضروري جدا مش
+
+595
+00:46:15,850 --> 00:46:22,830
+مجرد أني أحدد الرقم وإنما أيضا أحدد اتجاه ال base،
+
+596
+00:46:22,830 --> 00:46:26,770
+ال prism يرمز إله بال base، اتجاهه باتجاه ال base،
+
+597
+00:46:26,770 --> 00:46:32,160
+ضروري جدا هذه القضية تكون واضحة للغاية، طبعاالقوة
+
+598
+00:46:32,160 --> 00:46:35,460
+البرزمية أو القوة المنشورية لأي نقطة من نقاط
+
+599
+00:46:35,460 --> 00:46:39,940
+العدسة تساوي H في D، هذا يسمى Leprentice Rule، هذا 
+
+600
+00:46:39,940 --> 00:46:44,100
+يسمى Leprentice Rule، تطبيقات Leprentice Rule، 
+
+601
+00:46:44,100 --> 00:46:48,080
+هانبدأ فيها المرة القادمة ان شاء الله تعالى، 
+
+602
+00:46:48,080 --> 00:46:52,080
+ويعطيكم العافية والسلام عليكم ورحمة الله وبركاته 
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/n8J1xKRAcl8.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/n8J1xKRAcl8.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2cc3aedb896b38cfa463c0b9374191db07825588
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/n8J1xKRAcl8.srt
@@ -0,0 +1,1759 @@
+
+1
+00:00:01,080 --> 00:00:03,840
+In the name of God, we are going to continue with
+
+2
+00:00:03,840 --> 00:00:06,440
+the lectures of Geometric Optics, and we stopped
+
+3
+00:00:06,440 --> 00:00:13,360
+at the spherical equivalent to the meridians of
+
+4
+00:00:13,360 --> 00:00:15,660
+the astigmatic lens. We said that the astigmatic
+
+5
+00:00:15,660 --> 00:00:18,660
+lens has each meridian different from the other in
+
+6
+00:00:18,660 --> 00:00:23,140
+strength. And it is graded in a regular way to gain
+
+7
+00:00:23,140 --> 00:00:26,160
+from it regular astigmatism from the strongest to
+
+8
+00:00:26,160 --> 00:00:28,000
+the weakest or from the weakest to the strongest.
+
+9
+00:00:28,340 --> 00:00:30,160
+It could be this weakest person is not a problem,
+
+10
+00:00:30,320 --> 00:00:33,060
+or this strongest person, but the gradation
+
+11
+00:00:33,060 --> 00:00:36,140
+between them must be regular. And that the
+
+12
+00:00:36,140 --> 00:00:43,700
+spherical lens, the spherical lens that guides the
+
+13
+00:00:43,700 --> 00:00:47,740
+astigmatic lens, or the spherocylindrical lens, is
+
+14
+00:00:47,740 --> 00:00:50,140
+usually its force is the average force of all
+
+15
+00:00:50,140 --> 00:00:53,540
+meridians. How do I get the average force of all
+
+16
+00:00:53,540 --> 00:00:57,880
+meridians? I take the highest meridian in force
+
+17
+00:00:57,880 --> 00:01:00,000
+and the lowest meridian in force, I combine them
+
+18
+00:01:00,000 --> 00:01:04,320
+and divide them by 2, here 44 and 40 divided by 2,
+
+19
+00:01:04,580 --> 00:01:07,240
+that is, 2 together is 84 divided by 2, that is,
+
+20
+00:01:07,280 --> 00:01:13,940
+the average is 42. So, the spherical equivalent هو
+
+21
+00:01:13,940 --> 00:01:20,760
+متوسط قوة ال meridian الأقوى و ال meridian الأضعف
+
+22
+00:01:20,760 --> 00:01:24,500
+أو متوسط قوة كل ال meridians إذا أنا جمعت كل ال
+
+23
+00:01:24,500 --> 00:01:28,500
+meridians و جمعتهم على عدد ال meridians زي ما في
+
+24
+00:01:28,500 --> 00:01:31,320
+السطر الأعلى، ما بيبينلي عندي خمسة meridians
+
+25
+00:01:31,320 --> 00:01:34,880
+مذكورة قوتهم، أربع و أربعين زائد تلاتة و أربعين
+
+26
+00:01:34,880 --> 00:01:37,660
+زائد اتنين و أربعين زائد واحد و أربعين زائد أربعين
+
+27
+00:01:38,010 --> 00:01:40,890
+All of them come out 210, their number is 5, we
+
+28
+00:01:40,890 --> 00:01:45,770
+divide by 5, I get 42. What is the advantage of the
+
+29
+00:01:45,770 --> 00:01:49,190
+spherical lens? We say that this spherical lens
+
+30
+00:01:49,190 --> 00:01:54,210
+made me a formation of light in space or a picture
+
+31
+00:01:54,210 --> 00:01:56,410
+of light in space, it has triangular dimensions,
+
+32
+00:01:56,730 --> 00:02:01,270
+we called it conoid of stern or interval of stern.
+
+33
+00:02:01,270 --> 00:02:05,790
+In a certain area of ​​this conoid, there is the
+
+34
+00:02:05,790 --> 00:02:09,030
+best place for the picture is in a place where the
+
+35
+00:02:09,030 --> 00:02:12,770
+light pole or the light band is received, it is
+
+36
+00:02:12,770 --> 00:02:16,130
+received in a circle, we call it circle of least
+
+37
+00:02:16,130 --> 00:02:19,090
+confusion, meaning the circle of least stupidity,
+
+38
+00:02:19,250 --> 00:02:21,390
+the least stupidity, which is the most obvious in
+
+39
+00:02:21,390 --> 00:02:25,260
+all in all of this. Of course, it is not 100%
+
+40
+00:02:25,260 --> 00:02:28,080
+clear, but it is at least vague. It is at least
+
+41
+00:02:28,080 --> 00:02:31,580
+vague. Okay, the spherical equivalent, if you
+
+42
+00:02:31,580 --> 00:02:34,820
+remove the astigmatic lens and replace it with
+
+43
+00:02:34,820 --> 00:02:37,180
+what is equivalent to it from the sphere and
+
+44
+00:02:37,180 --> 00:02:40,780
+replace it with its spherical equivalent, this
+
+45
+00:02:40,780 --> 00:02:46,150
+spherical equivalent will do what? focus on the
+
+46
+00:02:46,150 --> 00:02:48,830
+place of the circle of least confusion meaning
+
+47
+00:02:48,830 --> 00:02:52,170
+that here the light will gather almost in one
+
+48
+00:02:52,170 --> 00:02:57,550
+point if I use a sphere and not a stigmatic lens
+
+49
+00:02:57,550 --> 00:03:01,430
+meaning in this example I want to remove this
+
+50
+00:03:01,430 --> 00:03:05,830
+spherical lens, I want to remove it and I want to
+
+51
+00:03:05,830 --> 00:03:09,990
+use a spherical lens, a spherical lens with a force
+
+52
+00:03:09,990 --> 00:03:17,150
+of 42, then you will do في ما كان ال circle of least
+
+53
+00:03:17,150 --> 00:03:21,950
+confusion هتعملّي focus
+
+54
+00:03:21,950 --> 00:03:25,990
+لكل الأشعة ومش هيكون عندي لا focal lines أمامي ولا
+
+55
+00:03:25,990 --> 00:03:29,550
+focal line خلفي فبالتالي هيكون عندي just one
+
+56
+00:03:29,550 --> 00:03:32,550
+focus, just one focus. If I use sphere then this
+
+57
+00:03:32,550 --> 00:03:35,530
+is the spherical equivalent. طيب كيف أحنا نجيب ال
+
+58
+00:03:35,530 --> 00:03:39,290
+spherical equivalent? Well, if I know the meridians
+
+59
+00:03:39,290 --> 00:03:42,030
+of the lens, the astigmatic lens, the meridians,
+
+60
+00:03:42,090 --> 00:03:44,910
+if I know their strength, which is the steepest
+
+61
+00:03:44,910 --> 00:03:47,750
+meridian and the flattest meridian, I add their
+
+62
+00:03:47,750 --> 00:03:50,010
+strength and divide it by two. This is one method.
+
+63
+00:03:50,490 --> 00:03:52,970
+The second method, if I know the strength of the
+
+64
+00:03:52,970 --> 00:03:55,590
+astigmatic lens, the astigmatic lens, which is the
+
+65
+00:03:55,590 --> 00:03:58,470
+spherocylindrical lens, the spherocylindrical
+
+66
+00:03:58,470 --> 00:04:02,340
+lens, I take the sphere and I take the force of the
+
+67
+00:04:02,340 --> 00:04:04,280
+sphere and I take half of the force of the
+
+68
+00:04:04,280 --> 00:04:06,720
+cylinder, the cylinder divided by 2, and I combine
+
+69
+00:04:06,720 --> 00:04:09,760
+them together, each one with its sign, gives me the
+
+70
+00:04:09,760 --> 00:04:12,840
+spherical equivalent. Let's see an example on a
+
+71
+00:04:12,840 --> 00:04:17,240
+drawing. Let's go to the enlarged drawing or the
+
+72
+00:04:17,240 --> 00:04:20,900
+enlarged width. This patient did auto refraction,
+
+73
+00:04:21,200 --> 00:04:23,920
+that is, he did a measurement of the refractive
+
+74
+00:04:23,920 --> 00:04:27,160
+error he has, or the amount of refractive error in
+
+75
+00:04:27,160 --> 00:04:31,900
+the right eye and in the left eye. In the right eye,
+
+76
+00:04:31,900 --> 00:04:35,460
+he has a spherical error sphere minus three and a
+
+77
+00:04:35,460 --> 00:04:39,260
+quarter. He has three and a quarter myopia. He has
+
+78
+00:04:39,260 --> 00:04:43,540
+cylinder astigmatism minus two of course on a
+
+79
+00:04:43,540 --> 00:04:47,020
+certain axis. On a certain axis. On axis four now,
+
+80
+00:04:47,020 --> 00:04:50,980
+the spherical equivalent is the sphere. This is not
+
+81
+00:04:50,980 --> 00:04:53,600
+this is a force that is his right eye. His right
+
+82
+00:04:53,600 --> 00:04:57,980
+eye, it needs a lens, spherical and cylindrical lens
+
+83
+00:04:57,980 --> 00:05:02,220
+to correct the refractive error, to correct myopia
+
+84
+00:05:02,220 --> 00:05:06,760
+and astigmatism. This lens must have a force of
+
+85
+00:05:06,760 --> 00:05:11,100
+minus three and a quarter to minus two, minus three
+
+86
+00:05:11,100 --> 00:05:14,200
+and a quarter myopia sphere and in front of it a
+
+87
+00:05:14,200 --> 00:05:20,280
+lens minus two cylinders on axis four. If I don't
+
+88
+00:05:20,280 --> 00:05:23,420
+want to wear a spherical and cylindrical lens. وحبيت
+
+89
+00:05:23,420 --> 00:05:26,700
+ألبسه بس sphere. ايش العادسة ال sphere اللي بتكافئ
+
+90
+00:05:26,700 --> 00:05:31,420
+هدول الاتنين؟ بنقول نص ال cylinder مع ال sphere أو
+
+91
+00:05:31,420 --> 00:05:34,460
+ال sphere زائد ال cylinder على اتنين, ال sphere
+
+92
+00:05:34,460 --> 00:05:38,500
+minus تلاتة و ربع زائد ال cylinder minus اتنين على
+
+93
+00:05:38,500 --> 00:05:42,240
+اتنين means minus one. Minus three quarters plus
+
+94
+00:05:42,240 --> 00:05:45,000
+minus one equals minus four quarters, that's why
+
+95
+00:05:45,000 --> 00:05:48,580
+it's written spherical equivalent minus four
+
+96
+00:05:48,580 --> 00:05:50,960
+quarters, as we calculated which is the whole
+
+97
+00:05:50,960 --> 00:05:53,280
+sphere with half of the cylinder, of course
+
+98
+00:05:53,280 --> 00:05:57,820
+indicating minus two and half, minus one. We come to
+
+99
+00:05:57,820 --> 00:05:59,800
+the left eye. The left eye has a spherical
+
+100
+00:05:59,800 --> 00:06:03,380
+refractive error, when it is minus three degrees. It
+
+101
+00:06:03,380 --> 00:06:07,380
+has a stigmatism minus one on the axis, of course,
+
+102
+00:06:07,500 --> 00:06:11,080
+the stigmatism must be placed on a particular axis.
+
+103
+00:06:11,080 --> 00:06:14,580
+Because the stigmatism lens has a vertical effect
+
+104
+00:06:14,580 --> 00:06:18,500
+on the direction of its axis. Its effect on the
+
+105
+00:06:18,500 --> 00:06:25,540
+same axis is zero. As we will talk about later. How
+
+106
+00:06:25,540 --> 00:06:28,980
+much is the spherical equivalent of this lens?
+
+107
+00:06:29,580 --> 00:06:32,720
+This patient's left eye has a lens of minus three
+
+108
+00:06:32,720 --> 00:06:35,460
+minus one around one hundred and seventy six
+
+109
+00:06:56,810 --> 00:07:00,950
+إن إذا بعرف قوة ال meridian الأول و بعرف قوة ال
+
+110
+00:07:00,950 --> 00:07:06,050
+meridian التاني معناته أنا بعرف أجمع الأتنين أربع
+
+111
+00:07:06,050 --> 00:07:08,750
+و أربعين اللي هو ال meridian الأول اللي هو الأقوى
+
+112
+00:07:08,750 --> 00:07:11,570
+أو الأضعف و ال meridian التاني اللي هو الأضعف أو
+
+113
+00:07:11,570 --> 00:07:14,810
+الأقوى يعني باخد أقوى واحد و أضعف واحد بقد النظر
+
+114
+00:07:14,810 --> 00:07:18,470
+مين الأقوى و مين الأضعف هل هو ال horizontal ولا ال
+
+115
+00:07:18,470 --> 00:07:23,440
+vertical. Plus forty-four plus forty-four means
+
+116
+00:07:23,440 --> 00:07:26,260
+eighty-four divided by two means forty-two. This
+
+117
+00:07:26,260 --> 00:07:29,960
+is the spherical equivalent, which means the lens,
+
+118
+00:07:30,100 --> 00:07:33,040
+the sphere that blocks this lens, which is the
+
+119
+00:07:33,040 --> 00:07:35,760
+spherocylinder or the astigmatic lens or the
+
+120
+00:07:35,760 --> 00:07:38,740
+astigmatic lens, so like this, there is
+
+121
+00:07:44,430 --> 00:07:48,490
+Although the cross-section of each pencil of rays
+
+122
+00:07:48,490 --> 00:07:51,390
+forming the conoid of a stern is relatively easy
+
+123
+00:07:51,390 --> 00:07:54,930
+to appreciate, the images produced by sphero
+
+124
+00:07:54,930 --> 00:07:58,630
+-cylindrical lenses of extended objects, which are
+
+125
+00:07:58,630 --> 00:08:01,770
+composed of an infinite number of pencils of light
+
+126
+00:08:01,770 --> 00:08:05,350
+or infinite number of point sources of light, are
+
+127
+00:08:05,350 --> 00:08:08,590
+of somewhat different configuration. كل اللي حكيناه
+
+128
+00:08:08,590 --> 00:08:14,330
+عن ال conoid of a star هذا كله .. كله صورة نقطة
+
+129
+00:08:14,330 --> 00:08:18,410
+واحدة من ال object. صورة نقطة واحدة من ال object.
+
+130
+00:08:18,410 --> 00:08:22,150
+فما بالنا لما ال object بيكون مكوّن من عدد كبير
+
+131
+00:08:22,150 --> 00:08:27,770
+جدا من النقاط. نشوف الصورة هاي يعني
+
+132
+00:08:27,770 --> 00:08:33,080
+لو أنا بدي أتلقى هاي لوحة التلقى. It is the same as
+
+133
+00:08:33,080 --> 00:08:35,840
+the receiver's board, receiver's board, receiver's
+
+134
+00:08:35,840 --> 00:08:38,280
+board, receiver's board. If we say the central
+
+135
+00:08:38,280 --> 00:08:40,840
+point in this cross, which we will consider the
+
+136
+00:08:40,840 --> 00:08:44,560
+object, which consists of several points, these
+
+137
+00:08:44,560 --> 00:08:47,880
+are its pictures. This is the conoid of the stern
+
+138
+00:08:47,880 --> 00:08:49,580
+that you make. This is the circle of least
+
+139
+00:08:49,580 --> 00:08:52,500
+confusion. These are its focal lines. These
+
+140
+00:08:52,500 --> 00:08:54,940
+pictures are the central point in the cross. Okay,
+
+141
+00:08:55,320 --> 00:08:57,560
+the highest point in the cross, in the vertical
+
+142
+00:08:57,560 --> 00:09:03,030
+points, will be made by this picture. Okay, the
+
+143
+00:09:03,030 --> 00:09:06,090
+lowest point in the cross will give me this
+
+144
+00:09:06,090 --> 00:09:10,030
+picture. The void, the conoid of Sturm. Every
+
+145
+00:09:10,030 --> 00:09:13,370
+point makes a conoid of Sturm. Okay, now I don't
+
+146
+00:09:13,370 --> 00:09:16,290
+want to study point by point. I want a shape, the
+
+147
+00:09:16,290 --> 00:09:18,830
+shape of the cross. The image of this cross. I
+
+148
+00:09:18,830 --> 00:09:22,030
+took it with a lens, a stigmatic lens, the object
+
+149
+00:09:22,030 --> 00:09:25,910
+is a cross of the points. If I want to find its
+
+150
+00:09:25,910 --> 00:09:29,610
+shape at this void place that I point to, it will
+
+151
+00:09:29,610 --> 00:09:33,980
+be in this shape. If I look at the first focal
+
+152
+00:09:33,980 --> 00:09:40,300
+line, it will look like this. Here the vertical
+
+153
+00:09:40,300 --> 00:09:45,880
+line shows that it is a line. Here are ovals. Okay,
+
+154
+00:09:45,880 --> 00:09:49,740
+now if you look at the area of circle of least
+
+155
+00:09:49,740 --> 00:09:53,500
+confusion. Each point is a circle of least
+
+156
+00:09:53,500 --> 00:09:56,740
+confusion for its point in the object. If you look
+
+157
+00:09:56,740 --> 00:10:00,160
+at it after that then the shape differs from place
+
+158
+00:10:00,160 --> 00:10:03,200
+to place. The shape of the cross image, and this
+
+159
+00:10:03,200 --> 00:10:07,120
+cross is also a simple object, a simple object.
+
+160
+00:10:07,120 --> 00:10:12,060
+Therefore, the astigmatic lens, it makes a command of
+
+161
+00:10:12,060 --> 00:10:15,500
+its term for each point of the object.
+
+162
+00:10:18,120 --> 00:10:21,480
+How do I deal with this issue? When calculating
+
+163
+00:10:21,480 --> 00:10:25,280
+object and image relationships for spherical and
+
+164
+00:10:25,280 --> 00:10:28,360
+cylindrical lenses, we must treat each principle
+
+165
+00:10:28,360 --> 00:10:32,100
+meridian separately, applying the basic divergence
+
+166
+00:10:32,100 --> 00:10:36,040
+relationship, or graphical analysis. What does
+
+167
+00:10:36,040 --> 00:10:38,720
+this mean? When dealing with an object in front of
+
+168
+00:10:38,720 --> 00:10:44,280
+it, sphero cylindrical lens. لابد من أني أتعامل مع
+
+169
+00:10:44,280 --> 00:10:49,140
+كل meridian على حده و أحسبله ال vergence
+
+170
+00:10:49,140 --> 00:10:53,640
+calculation و كأنه عدسة منفصلة لوحدها. زمان لما كنا
+
+171
+00:10:53,640 --> 00:10:58,320
+نقول في ال lens combination, عندي object و قدامه
+
+172
+00:10:58,320 --> 00:11:02,520
+عدستين او تلاتة و قول تعامل مع كل عدسة على حدا و
+
+173
+00:11:02,520 --> 00:11:06,140
+صورة العدسة الأولى هي object للعدسة التانية و صورة
+
+174
+00:11:06,140 --> 00:11:09,880
+العدسة التانية هي object للعدسة التالتة و صورة
+
+175
+00:11:09,880 --> 00:11:13,420
+العدسة التالتة هي object للعدسة الرابعة و هكذا. إذا
+
+176
+00:11:13,420 --> 00:11:20,400
+استطعت أتعامل مع كل عدسة على حدا معناته بقى استطيع
+
+177
+00:11:20,400 --> 00:11:23,420
+أني أوجد ال final image و أشوف ال magnification
+
+178
+00:11:23,420 --> 00:11:28,110
+جديش يساوي. In astigmatic lens, or spherocylindrical
+
+179
+00:11:28,110 --> 00:11:31,710
+lens, I have to deal with each meridian one by
+
+180
+00:11:31,710 --> 00:11:34,710
+one. I have to see the focus of each meridian, and
+
+181
+00:11:34,710 --> 00:11:41,610
+I have to determine the limits of the conoid of
+
+182
+00:11:41,610 --> 00:11:46,140
+the sternum. vergence calculations .. by using the
+
+183
+00:11:46,140 --> 00:11:49,820
+vergence calculations. If we want to go to an
+
+184
+00:11:49,820 --> 00:11:55,780
+example to clarify this issue .. let's take an
+
+185
+00:11:55,780 --> 00:12:03,220
+example ..
+
+186
+00:12:03,220 --> 00:12:07,780
+the example must be solved in a way .. I mean ..
+
+187
+00:12:07,780 --> 00:12:10,600
+separated each meridian by one .. each meridian by
+
+188
+00:12:10,600 --> 00:12:16,440
+one .. here I have a lens .. spherocylindrical lens.
+
+189
+00:12:16,440 --> 00:12:30,620
+We say as follows. The vertical meridian, the
+
+190
+00:12:3
+
+223
+00:15:48,410 --> 00:15:50,850
+solve this problem. How are we going to solve this 
+
+224
+00:15:50,850 --> 00:15:53,630
+problem? We have to deal with each lens one by 
+
+225
+00:15:53,630 --> 00:15:57,170
+one. How do we deal with each lens one by one? We 
+
+226
+00:15:57,170 --> 00:16:01,070
+will see how the problem will happen with us. We 
+
+227
+00:16:01,070 --> 00:16:04,970
+say as follows. This will deal with the first 
+
+228
+00:16:04,970 --> 00:16:09,070
+meridian to itself.The first meridian will give me 
+
+229
+00:16:09,070 --> 00:16:12,210
+the closest focal line. Who will give me the 
+
+230
+00:16:12,210 --> 00:16:14,610
+closest focal line? The vertical meridian or the 
+
+231
+00:16:14,610 --> 00:16:17,150
+horizontal meridian? No, the vertical one because 
+
+232
+00:16:17,150 --> 00:16:18,770
+the strongest one always collects the closest rays 
+
+233
+00:16:18,770 --> 00:16:28,050
+to the lens. So, imagine I have an object and its 
+
+234
+00:16:28,050 --> 00:16:31,470
+lens itself has a power of plus five diopters. I 
+
+235
+00:16:31,470 --> 00:16:33,610
+deal with the first meridian, which is the 
+
+236
+00:16:33,610 --> 00:16:35,030
+strongest one. I always start with the strongest 
+
+237
+00:16:35,030 --> 00:16:40,090
+one.This is the strongest meridian. The object is 
+
+238
+00:16:40,090 --> 00:16:41,310
+about 50 cm. 
+
+239
+00:16:45,870 --> 00:16:49,910
+And the lens strength is plus 5 diopters. The lens 
+
+240
+00:16:49,910 --> 00:16:52,190
+is high. Or the high meridian will consider the 
+
+241
+00:16:52,190 --> 00:16:59,950
+lens alone. Its strength is plus 5 diopters. Plus 5 
+
+242
+00:16:59,950 --> 00:17:00,890
+diopters. 
+
+243
+00:17:07,130 --> 00:17:10,690
+I use the Virgin's calculations in a very simple 
+
+244
+00:17:10,690 --> 00:17:17,570
+way and say u to equal negative n over o which is 
+
+245
+00:17:17,570 --> 00:17:24,190
+equal to negative one over o which is half a meter 
+
+246
+00:17:24,190 --> 00:17:30,850
+or fifty centimeters over half a meter which 
+
+247
+00:17:30,850 --> 00:17:36,960
+is equal to negative two dioptersع السريع هذا الكلام 
+
+248
+00:17:36,960 --> 00:17:39,940
+بده أسجله على سطح العدسة هاي اللي أنا افترضتها، 
+
+249
+00:17:39,940 --> 00:17:44,580
+اللي هي ال meridian، ناقص اتنين ديوتر، يعني ال .. 
+
+250
+00:17:44,580 --> 00:17:48,900
+ال .. الضوء هيصل بتشتتية مقدارها minus اتنين 
+
+251
+00:17:48,900 --> 00:17:54,620
+ديوتر، minus اتنين ديوتر، هيضل ال V عندي جديش؟ 
+
+252
+00:17:54,620 --> 00:18:01,440
+plus تلاتة ديوتر، V تساوي plus تلاتة ديوترmeans 
+
+253
+00:18:01,440 --> 00:18:05,900
+that the lens will change the polarity u plus p 
+
+254
+00:18:05,900 --> 00:18:10,380
+equals u minus 2 plus p equals 5 and I will have 
+
+255
+00:18:10,380 --> 00:18:15,160
+plus three diopters plus three diopters, then the 
+
+256
+00:18:15,160 --> 00:18:17,820
+rays will come out of this meridian by themselves 
+
+257
+00:18:24,980 --> 00:18:28,120
+3 diopters, so it will give me a real picture 
+
+258
+00:18:28,120 --> 00:18:30,560
+which is the first focal line which is the first 
+
+259
+00:18:30,560 --> 00:18:33,380
+focal line or its location in the first focal line 
+
+260
+00:18:33,380 --> 00:18:36,180
+where is the location of the first focal line? we 
+
+261
+00:18:36,180 --> 00:18:38,700
+will calculate which is I which is the picture of 
+
+262
+00:18:38,700 --> 00:18:42,100
+the first meridian I is equal to condition on V 
+
+263
+00:18:42,100 --> 00:18:50,860
+which is equal to 1 over plus 3 diopters which is 
+
+264
+00:18:50,860 --> 00:18:56,800
+equal to plus one third meter which is thirty three 
+
+265
+00:18:56,800 --> 00:19:02,340
+centimeters. So the first focal line, the first 
+
+266
+00:19:02,340 --> 00:19:07,000
+focal line is away from this lens which is part of 
+
+267
+00:19:07,000 --> 00:19:08,700
+it, which is this meridian. It is away from this 
+
+268
+00:19:08,700 --> 00:19:10,700
+meridian, which means it is away from the lens, 
+
+269
+00:19:10,800 --> 00:19:13,700
+which is thirty three centimeters. So we want to 
+
+270
+00:19:13,700 --> 00:19:17,720
+draw this first focal line. So notice that I will 
+
+271
+00:19:17,720 --> 00:19:20,390
+draw it horizontally.I will draw a horizontal line 
+
+272
+00:19:20,390 --> 00:19:23,170
+because this vertical meridian forms a horizontal 
+
+273
+00:19:23,170 --> 00:19:25,770
+line over the line over the line over the line 
+
+274
+00:19:25,770 --> 00:19:28,330
+over the line over the line over the line over the 
+
+275
+00:19:28,330 --> 00:19:29,470
+line over the line over the line over the line 
+
+276
+00:19:29,470 --> 00:19:29,730
+over the line over the line over the line over the 
+
+277
+00:19:29,730 --> 00:19:35,050
+line over the line over the line over 
+
+278
+00:19:35,050 --> 00:19:35,390
+line over the line over the line over the line 
+
+279
+00:19:35,390 --> 00:19:35,410
+line over the line over the line over the line 
+
+280
+00:19:35,410 --> 00:19:35,490
+line over the line over the line over the line 
+
+281
+00:19:35,490 --> 00:19:38,130
+line over the line over the line over the line 
+
+282
+00:19:38,130 --> 00:19:48,590
+over the 
+
+283
+00:19:50,860 --> 00:19:54,880
+33 cm. Now we want to get the second focal line 
+
+284
+00:19:54,880 --> 00:19:58,300
+using the force of the second meridian. Here we 
+
+285
+00:19:58,300 --> 00:20:06,200
+finished the first meridian. We 
+
+286
+00:20:06,200 --> 00:20:08,680
+want to use the force of the second meridian to 
+
+287
+00:20:08,680 --> 00:20:12,600
+get the second focal line.
+
+288
+00:20:14,800 --> 00:20:18,520
+Also, the second focal line or the second meridian 
+
+289
+00:20:18,520 --> 00:20:21,140
+that will bring me to the second focal line will 
+
+290
+00:20:21,140 --> 00:20:24,720
+deal with it alone as if it is a lens standing by 
+
+291
+00:20:24,720 --> 00:20:31,420
+itself as if it is a lens standing by itself. We 
+
+292
+00:20:31,420 --> 00:20:32,140
+will draw it here. 
+
+293
+00:21:01,890 --> 00:21:03,890
+In fact, I have the object also at a distance of 
+
+294
+00:21:03,890 --> 00:21:04,810
+50 cm.
+
+295
+00:21:07,510 --> 00:21:09,170
+So, there is no need to overcome myself and get 
+
+296
+00:21:09,170 --> 00:21:12,030
+the U. The U is known as minus 2 because the light 
+
+297
+00:21:12,030 --> 00:21:15,610
+came from the same point of the object or from the 
+
+298
+00:21:15,610 --> 00:21:17,190
+object which is in the same place. It did not 
+
+299
+00:21:17,190 --> 00:21:20,070
+change its shape. Okay? The lens, of course, its 
+
+300
+00:21:20,070 --> 00:21:22,550
+force here or the meridian here is its force plus 
+
+301
+00:21:22,550 --> 00:21:29,420
+3. Plus 3. This is better. meridian is the force 
+
+302
+00:21:29,420 --> 00:21:34,140
+of the object which will enter from the horizontal 
+
+303
+00:21:34,140 --> 00:21:37,220
+meridian as if it is entering from a plus 3 
+
+304
+00:21:37,220 --> 00:21:40,600
+magnitude lens. U is directly because it will not 
+
+305
+00:21:40,600 --> 00:21:44,000
+change. U object and the points of the object at 
+
+306
+00:21:44,000 --> 00:21:49,440
+the same distance did not change so U is minus 3. V 
+
+307
+00:21:49,440 --> 00:21:55,400
+is how much? plus 1 minus 2 plus 3 remains plus 1.
+
+308
+00:21:57,870 --> 00:22:01,390
+So instead of saying u is equal to minus n over o 
+
+309
+00:22:01,390 --> 00:22:03,790
+is equal to minus 1 over half meter is equal to 
+
+310
+00:22:03,790 --> 00:22:06,230
+minus 2, I calculated it for the first meridian. 
+
+311
+00:22:06,910 --> 00:22:10,390
+The u doesn't change in this case. The v changes 
+
+312
+00:22:10,390 --> 00:22:13,630
+because the meridian's force varies from plus 5 to 
+
+313
+00:22:13,630 --> 00:22:18,770
+plus 3. So here I have v plus 1. v plus 1 is 
+
+314
+00:22:18,770 --> 00:22:19,090
+greater than 
+
+315
+00:22:25,160 --> 00:22:29,800
+So I, which is important, I for this meridian, 
+
+316
+00:22:29,940 --> 00:22:32,700
+which is the second focal line, I is equal to 
+
+317
+00:22:32,700 --> 00:22:33,820
+unconditional over V, 
+
+318
+00:22:37,800 --> 00:22:45,500
+which is equal to one over plus one diopterو هي 
+
+319
+00:22:45,500 --> 00:22:51,500
+يساوي plus 1 meter من ال meridian، من العدسة، إذا 
+
+320
+00:22:51,500 --> 00:22:56,740
+ال second focal line، ال second focal line، و اللي 
+
+321
+00:22:56,740 --> 00:23:01,880
+هرسمه أنا عمودي، بيبعد متر عن العدسة، بيبعد متر عن 
+
+322
+00:23:01,880 --> 00:23:02,620
+العدسة
+
+323
+00:23:15,290 --> 00:23:20,150
+So this meter, 
+
+324
+00:23:20,290 --> 00:23:39,270
+let's say it's a meter. So 
+
+325
+00:23:39,270 --> 00:23:43,880
+the second focal line moves away from the lens 100 
+
+326
+00:23:43,880 --> 00:23:48,660
+cm. The first focal line is away from the lens 33 
+
+327
+00:23:48,660 --> 00:23:54,280
+cm. A question may come to me. We determined the 
+
+328
+00:23:54,280 --> 00:23:57,180
+first focal line. We answered it. The second focal 
+
+329
+00:23:57,180 --> 00:24:00,080
+line. We answered it. Another request may come to 
+
+330
+00:24:00,080 --> 00:24:02,140
+me. How much is the length of the conoid of the 
+
+331
+00:24:02,140 --> 00:24:06,400
+stern in space? It extends from 33 cm to 100 cm. 
+
+332
+00:24:06,500 --> 00:24:09,360
+That is, it extends 67 cm. I say one hundred minus 
+
+333
+00:24:09,360 --> 00:24:12,520
+thirty-three remains this distance, which is the 
+
+334
+00:24:12,520 --> 00:24:16,490
+length conoid of a stern which is sixty-seven 
+
+335
+00:24:16,490 --> 00:24:18,270
+centimeters, one hundred minus thirty-three 
+
+336
+00:24:18,270 --> 00:24:21,730
+centimeters. Now I want to get the circle of least 
+
+337
+00:24:21,730 --> 00:24:24,930
+confusion. Where is its location? No one can 
+
+338
+00:24:24,930 --> 00:24:28,010
+imagine that the circle of least confusion is in 
+
+339
+00:24:28,010 --> 00:24:30,730
+the middle between the first focal line and the 
+
+340
+00:24:30,730 --> 00:24:33,670
+second focal line. No, but the circle of least 
+
+341
+00:24:33,670 --> 00:24:37,850
+confusion has 
+
+342
+00:24:37,850 --> 00:24:39,770
+another account .. has another account.
+
+343
+00:24:42,860 --> 00:24:45,460
+It needs a new question, it needs a new question, 
+
+344
+00:24:45,720 --> 00:24:49,660
+but we need to make brackets to make things clear 
+
+345
+00:24:49,660 --> 00:25:02,680
+for us, this is a bracket. And 
+
+346
+00:25:02,680 --> 00:25:04,520
+this is the bracket, we put it from above too. 
+
+347
+00:25:10,340 --> 00:25:12,540
+and solve the circle of least confusion by one 
+
+348
+00:25:12,540 --> 00:25:18,420
+circle of least confusion. How do I get it? Here I 
+
+349
+00:25:18,420 --> 00:25:21,360
+have a lens which is the square of the square of 
+
+350
+00:25:21,360 --> 00:25:22,660
+the square of the square of the square of the 
+
+351
+00:25:22,660 --> 00:25:23,240
+square of the square of the square of the square 
+
+352
+00:25:23,240 --> 00:25:23,580
+of the square of the square of the square of the 
+
+353
+00:25:23,580 --> 00:25:24,160
+square of the square of the square of the square 
+
+354
+00:25:24,160 --> 00:25:27,000
+of the square of the square of the square of the 
+
+355
+00:25:27,000 --> 00:25:31,840
+square of the 
+
+356
+00:25:31,840 --> 00:25:33,580
+square of the square of the square of the square 
+
+357
+00:25:33,580 --> 00:25:34,440
+square of the square of the square of the squareلو 
+
+358
+00:25:34,440 --> 00:25:37,280
+جبت المكافئ الكراوي ل ال two meridians او ل ال 
+
+359
+00:25:37,280 --> 00:25:40,860
+astigmatic lens هذي ككل، إيش هو المكافئ الكراوي؟ 
+
+360
+00:25:40,860 --> 00:25:43,800
+هل جيت؟ هنعرف؟ جديش؟ نحسب المكافئ الكراوي؟
+
+361
+00:26:03,230 --> 00:26:08,910
+هي هو الجسم على بعد خمسين صنطة واحنا بدنا نحسب ال 
+
+362
+00:26:08,910 --> 00:26:12,310
+.. المكافئة الكراوي لهذه ال astigmatic lens اللي 
+
+363
+00:26:12,310 --> 00:26:13,530
+احنا بنتعامل معاه
+
+364
+00:26:17,070 --> 00:26:19,170
+How much is the force of the Carotid Meridian? I 
+
+365
+00:26:19,170 --> 00:26:21,890
+add the force of the Meridian with the weakest 
+
+366
+00:26:21,890 --> 00:26:25,550
+Meridian and divide them by 2. Plus 5 and plus 3 
+
+367
+00:26:25,550 --> 00:26:29,690
+means plus 8 divided by 2 means plus 4 diopters. 
+
+368
+00:26:29,690 --> 00:26:32,850
+plus 4 diopters. So this is the Carotid Meridian. So 
+
+369
+00:26:32,850 --> 00:26:35,670
+if I brought a spherical lens to compensate for 
+
+370
+00:26:35,670 --> 00:26:38,150
+these astigmatic lenses, the spherical lens must 
+
+371
+00:26:38,150 --> 00:26:44,060
+have a force of 4 diopters.So if we stop the body 
+
+372
+00:26:44,060 --> 00:26:47,560
+at a distance of 50 cm from it, how much will the 
+
+373
+00:26:47,560 --> 00:26:50,980
+U be? Minus two diopters. The U will not change. 
+
+374
+00:26:51,220 --> 00:26:57,140
+The U will be minus two diopters. Okay. In this 
+
+375
+00:26:57,140 --> 00:27:00,400
+case, how much will the V remain in the spherical 
+
+376
+00:27:00,400 --> 00:27:05,040
+lens that blocks this astigmatic lens? Minus two 
+
+377
+00:27:05,040 --> 00:27:08,200
+diopters plus four diopters, I will have V plus 
+
+378
+00:27:08,200 --> 00:27:09,360
+two diopters. 
+
+379
+00:27:11,950 --> 00:27:16,610
+V is equal to plus two diopters if we use a sphere 
+
+380
+00:27:16,610 --> 00:27:22,470
+to cover the astigmatic lens. If we use the image 
+
+381
+00:27:22,470 --> 00:27:25,230
+of this sphere, where is it? I is equal to one 
+
+382
+00:27:25,230 --> 00:27:32,650
+divided by V is equal to one divided by V plus two 
+
+383
+00:27:32,650 --> 00:27:39,990
+diopters is equal to plus half a meter plus fifty 
+
+384
+00:27:39,990 --> 00:27:48,770
+centimeters equal to plus fifty centimeters if the 
+
+385
+00:27:48,770 --> 00:27:54,390
+spherical equivalent of this lens is fifty 
+
+386
+00:27:54,390 --> 00:27:56,650
+centimeters away from the body if the body was in 
+
+387
+00:27:56,650 --> 00:28:00,190
+its place. Means the circle of least confusion is 
+
+388
+00:28:00,190 --> 00:28:03,090
+fifty centimeters away from the lens. Is fifty 
+
+389
+00:28:03,090 --> 00:28:04,330
+centimeters away from the lens. Is fifty 
+
+390
+00:28:04,330 --> 00:28:06,310
+centimeters. We will draw the circle of least 
+
+391
+00:28:06,310 --> 00:28:13,040
+confusion and we will put it at a distance of 50 cm from the lens.  Everything is measured 
+
+392
+00:28:13,040 --> 00:28:21,100
+with respect to the lens. If 
+
+393
+00:28:21,100 --> 00:28:33,820
+the distance from 
+
+394
+00:28:33,820 --> 00:28:39,140
+the lens. From the lens to the circle of least confusion equals 
+
+395
+00:28:39,140 --> 00:28:46,200
+fifty cm, fifty cm. And the distance from the circle of 
+
+396
+00:28:46,200 --> 00:28:49,820
+least confusion to the second focal line is also fifty 
+
+397
+00:28:49,820 --> 00:28:53,060
+cm. Of course this is thirty three cm. The first focal 
+
+398
+00:28:53,060 --> 00:28:56,940
+line distance from the lens. The first focal line distance from 
+
+399
+00:28:56,940 --> 00:29:02,340
+the lens. Good, if this distance is fifty cm and this 
+
+400
+00:29:02,340 --> 00:29:07,770
+distance is 50 cm which is 100 cm. The second focal line 
+
+401
+00:29:07,770 --> 00:29:15,350
+is 100 cm away from the lens.
+
+402
+00:29:15,350 --> 00:29:18,310
+Sorry, 
+
+403
+00:29:18,990 --> 00:29:21,770
+the second focal line is 100 cm away from the 
+
+404
+00:29:21,770 --> 00:29:26,870
+lens. The circle of least confusion is 50 cm away 
+
+405
+00:29:26,870 --> 00:29:30,110
+from the lens. The first focal line is 33 cm away 
+
+406
+00:29:30,110 --> 00:29:33,630
+from the lens. These three things are attributed 
+
+407
+00:29:35,230 --> 00:29:39,450
+to the lens. Good, now the last question. Here's the location of the circle 
+
+408
+00:29:39,450 --> 00:29:4
+
+445
+00:31:52,160 --> 00:31:53,980
+line عبعد تلاتة و تلاتين centimeter
+
+446
+00:32:04,500 --> 00:32:08,240
+Once image positions are determined by these
+
+447
+00:32:08,240 --> 00:32:11,340
+methods, we return to the three-dimensional conoid
+
+448
+00:32:11,340 --> 00:32:15,060
+of STEM to understand the cross-sectional
+
+449
+00:32:15,060 --> 00:32:19,460
+configuration of the pencils or beams of light
+
+450
+00:32:19,460 --> 00:32:23,300
+that are intercepted by the retina of the eye at
+
+451
+00:32:23,300 --> 00:32:27,340
+various positions.طيب، هنا أنا فهمت وين ال first
+
+452
+00:32:27,340 --> 00:32:30,700
+vocal line وفهمت وين ال second vocal line، الآن
+
+453
+00:32:30,700 --> 00:32:34,430
+بدي أتخيل كيف ال conoid of stereo كيف بدنا نتخيل
+
+454
+00:32:34,430 --> 00:32:37,750
+نقول لو حطينا لو حط التلقي هنا هتعطيني horizontal
+
+455
+00:32:37,750 --> 00:32:42,450
+line لو بعدناها شوية هيعطيني oval horizontal لو
+
+456
+00:32:42,450 --> 00:32:46,010
+بعدناها شوية oval horizontal بس بده يستدير لو
+
+457
+00:32:46,010 --> 00:32:50,770
+وصلنا لهذه المنطقة هتعطيني دائرة لو بعدنا شوية عن
+
+458
+00:32:50,770 --> 00:32:54,390
+هذه المنطقة هتعطيني vertical oval vertical oval
+
+459
+00:32:54,390 --> 00:32:58,070
+بده يضعف و يطول vertical oval بده يضعف أكتر لغاية
+
+460
+00:32:58,070 --> 00:33:01,230
+ما نصل لل line فبالتالي هذه القضية طب إيش علاقة
+
+461
+00:33:01,230 --> 00:33:04,030
+رتينة هنا في الموضوع؟What's the relation between
+
+462
+00:33:04,030 --> 00:33:07,910
+retina and cornea?
+
+463
+00:33:08,600 --> 00:33:11,060
+or the optical system of the eye, it's not a
+
+464
+00:33:11,060 --> 00:33:14,340
+sphere, it's not a sphere, it's rather .. so the
+
+465
+00:33:14,340 --> 00:33:19,480
+cornea is considered aspherical or it has a
+
+466
+00:33:19,480 --> 00:33:21,620
+percentage of astigmatism this percentage of
+
+467
+00:33:21,620 --> 00:33:26,200
+astigmatism will make the case that the retina
+
+468
+00:33:26,200 --> 00:33:30,580
+does .. or the cornea does to the object or it
+
+469
+00:33:30,580 --> 00:33:33,080
+behaves with any object in front of it as if it is
+
+470
+00:33:33,080 --> 00:33:35,140
+an astigmatic lens completely, as if it is an
+
+471
+00:33:35,140 --> 00:33:37,640
+astigmatic lens completely and as long as they are
+
+472
+00:33:37,640 --> 00:33:44,260
+stigmatic lenses, I can imagine exactly where the
+
+473
+00:33:44,260 --> 00:33:46,080
+conoid of a sternum will be formed and whether
+
+474
+00:33:46,080 --> 00:33:49,520
+there will be a circle of least confusion on the
+
+475
+00:33:49,520 --> 00:33:52,080
+retina or in front of the retina or behind the
+
+476
+00:33:52,080 --> 00:33:55,600
+retina and what are the stigmatic lenses that are
+
+477
+00:33:55,600 --> 00:33:57,760
+required to correct the refractive error
+
+478
+00:34:01,110 --> 00:34:05,850
+من المحاضرة الماضية، أنا جبت قوة يعني لا تستعمل
+
+479
+00:34:05,850 --> 00:34:09,670
+عادة كنضارات، مافيش حاجة اسمها نضارة plus 44، يعني
+
+480
+00:34:09,670 --> 00:34:13,310
+في الحياة العملية عادة مابنستعملش هذه القوة، وانما
+
+481
+00:34:13,310 --> 00:34:16,850
+هنا قصدت فيها قوة القرنية، يعني هنا مثلا ال
+
+482
+00:34:16,850 --> 00:34:22,200
+vertical meridian بتاع الكورنيا، steeper than other
+
+483
+00:34:22,200 --> 00:34:24,280
+meridians, which means more curved or more curved,
+
+484
+00:34:24,840 --> 00:34:27,260
+which means stronger. In this case, the vertical
+
+485
+00:34:27,260 --> 00:34:30,400
+meridian is stronger, so this is called with the
+
+486
+00:34:30,400 --> 00:34:33,760
+rule of stigmatism. Usually, the vertical meridian
+
+487
+00:34:33,760 --> 00:34:36,700
+or the rule is that the vertical meridian should
+
+488
+00:34:36,700 --> 00:34:39,220
+be more steep than the horizontal meridian. We can
+
+489
+00:34:39,220 --> 00:34:41,980
+find the opposite, that the horizontal meridian is
+
+490
+00:34:41,980 --> 00:34:43,860
+stronger than the vertical meridian, which is
+
+491
+00:34:43,860 --> 00:34:47,220
+called against the rule of stigmatism. This is
+
+492
+00:34:47,220 --> 00:34:47,840
+studied extensively in refraction.
+
+493
+00:34:50,940 --> 00:34:52,780
+The summary of the matter is that the universe is
+
+494
+00:34:52,780 --> 00:34:56,740
+not considered a spherical optical system. It is
+
+495
+00:34:56,740 --> 00:34:58,660
+not considered a spherical optical system.
+
+496
+00:34:58,780 --> 00:35:00,860
+Therefore, as long as it is not considered a
+
+497
+00:35:00,860 --> 00:35:04,180
+spherical optical system, but a stigmatic system,
+
+498
+00:35:04,320 --> 00:35:07,240
+or considered a spherical cylinder, then this will
+
+499
+00:35:07,240 --> 00:35:09,840
+form a conoid of a sternum, and this conoid of a
+
+500
+00:35:09,840 --> 00:35:14,100
+sternum must be أعمل حسابه و أشوف أتخيل وين هييجي
+
+501
+00:35:14,100 --> 00:35:17,800
+ال first focal line وين ال second focal line وين
+
+502
+00:35:17,800 --> 00:35:20,540
+ال circle of least confusion طب لو جرب ال object
+
+503
+00:35:20,540 --> 00:35:23,800
+لو بعد ال object فبالتالي هذه القضية ضرورة تكون
+
+504
+00:35:23,800 --> 00:35:28,340
+واضحة للغاية الآن المرة القادمة ان شاء الله هنشوف
+
+505
+00:35:28,340 --> 00:35:32,600
+إيش يعني بعض ال astigmatic lenses إيه اللي تستعمل
+
+506
+00:35:32,600 --> 00:35:36,620
+في الحياة العملية وإيش أبسط أنواعها وإيش الأنواع
+
+507
+00:35:36,620 --> 00:35:40,240
+اللي هو more complicatedويعطيكم العافية والسلام
+
+508
+00:35:40,240 --> 00:35:42,460
+عليكم ورحمة الله وبركاته 
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/oDokMR_e5IA_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/oDokMR_e5IA_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e447703d6d85b6ccc17e1bbfa524fbf37067878c
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/oDokMR_e5IA_postprocess.srt
@@ -0,0 +1,2308 @@
+1
+00:00:01,720 --> 00:00:05,760
+بسم الله الرحمن الرحيم فبنستكمل محاضرات البصريات
+
+2
+00:00:05,760 --> 00:00:09,600
+الهندسية واتوقفنا عند law of rectilinear
+
+3
+00:00:09,600 --> 00:00:14,160
+propagation يعني قانون الصريان المستقيم واللي بينص
+
+4
+00:00:14,160 --> 00:00:19,080
+على أنه الضوء يسير في مسارات مستقيمة تسمى
+
+5
+00:00:19,080 --> 00:00:22,940
+الإشعاعات الضوئية, is on the law of rectilinear
+
+6
+00:00:22,940 --> 00:00:29,060
+propagation statesthat light in a homogeneous
+
+7
+00:00:29,060 --> 00:00:35,550
+medium travels along a straight path.or straight
+
+8
+00:00:35,550 --> 00:00:39,870
+line path to a cold light rays. So, light in a
+
+9
+00:00:39,870 --> 00:00:42,870
+homogeneous medium, the light, if it is present in
+
+10
+00:00:42,870 --> 00:00:45,330
+a homogeneous material or in a homogeneous medium,
+
+11
+00:00:46,070 --> 00:00:50,050
+it travels along a straight line through straight
+
+12
+00:00:50,050 --> 00:00:55,170
+lines called light rays or in short rays or in
+
+13
+00:00:55,170 --> 00:00:58,090
+short rays. What does homogeneous mean? It means
+
+14
+00:00:58,090 --> 00:01:00,620
+that it does not move from a materialالمادة لمادة
+
+15
+00:01:00,620 --> 00:01:02,740
+لمادة لمادة لمادة لمادة لمادة لمادة لمادة لمادة
+
+16
+00:01:02,740 --> 00:01:06,180
+لمادة لمادة لمادة لمادة لمادة لمادة لمادة لمادة
+
+17
+00:01:06,180 --> 00:01:07,120
+لمادة لمادة لمادة لمادة لمادة لمادة لمادة لمادة
+
+18
+00:01:07,120 --> 00:01:11,940
+لمادة لمادة لمادة لمادة لمادة لمادة
+
+19
+00:01:14,910 --> 00:01:16,590
+And here the substance which is at the bottom of
+
+20
+00:01:16,590 --> 00:01:19,830
+the horizontal line which is drawn in the
+
+21
+00:01:19,830 --> 00:01:25,030
+experiment is also air. So the light does not
+
+22
+00:01:25,030 --> 00:01:27,850
+break or reflect or undergo any change in its
+
+23
+00:01:27,850 --> 00:01:29,410
+path. Its path is straight.
+
+24
+00:01:32,370 --> 00:01:36,150
+So, of course, the wave shape for light is not
+
+25
+00:01:36,150 --> 00:01:41,030
+something we use, but in Geometric Optics, we use
+
+26
+00:01:41,030 --> 00:01:46,230
+the light ray, which makes it clear that it shows
+
+27
+00:01:46,230 --> 00:01:48,530
+the path and has nothing to do with the wave
+
+28
+00:01:48,530 --> 00:01:53,580
+nature of light.Okay, so this is the text of the
+
+29
+00:01:53,580 --> 00:01:55,560
+law, this is the text of the law, and this is a
+
+30
+00:01:55,560 --> 00:01:59,680
+drawing that explains this issue. It is true that
+
+31
+00:01:59,680 --> 00:02:02,860
+light spreads in all directions, but it spreads in
+
+32
+00:02:02,860 --> 00:02:06,520
+straight lines and flows in straight lines. Some
+
+33
+00:02:06,520 --> 00:02:10,040
+of the light rays go to the optical system in this
+
+34
+00:02:10,040 --> 00:02:12,360
+drawing, which is the pinhole, and some of them
+
+35
+00:02:12,360 --> 00:02:16,400
+scatter or go into space, but in straight lines,
+
+36
+00:02:16,540 --> 00:02:19,830
+in straight lines.The light ray is the most
+
+37
+00:02:19,830 --> 00:02:23,350
+fundamental construct in geometric optics يعني أهم
+
+38
+00:02:23,350 --> 00:02:33,390
+تركيبة أو أهم رسمة أو أهم وحدة بنائية في .. في علم
+
+39
+00:02:33,390 --> 00:02:35,990
+ال geometric optics هو ال light ray هو ال light
+
+40
+00:02:35,990 --> 00:02:41,640
+ray زي ما بنقول احنا وحدة بناء الجسم الخليةهنا
+
+41
+00:02:41,640 --> 00:02:45,220
+وحدة الشغل في ال .. و العلم بتاع ال geometric
+
+42
+00:02:45,220 --> 00:02:49,060
+optics مبني على موضوع ال light ray The basic
+
+43
+00:02:49,060 --> 00:02:52,020
+distinction between physical optics and geometric
+
+44
+00:02:52,020 --> 00:02:56,100
+optics الفرج الرئيسي .. الفرج الرئيسي بين علم ال
+
+45
+00:02:56,100 --> 00:02:59,120
+physical optics وعلم ال geometric optics is that
+
+46
+00:02:59,120 --> 00:03:01,340
+the latter اللي هو الأخير اللي هو ال geometric
+
+47
+00:03:01,340 --> 00:03:04,820
+opticsbeing based on the law of rectilinear
+
+48
+00:03:04,820 --> 00:03:08,420
+propagation ignores diffraction. It is the science
+
+49
+00:03:08,420 --> 00:03:11,000
+of geometric optics. The science of geometric
+
+50
+00:03:11,000 --> 00:03:14,080
+optics, which is engineering vision, because it is
+
+51
+00:03:14,080 --> 00:03:17,400
+based on the law of rectilinear diffraction, the
+
+52
+00:03:17,400 --> 00:03:19,620
+science that we study, which is engineering
+
+53
+00:03:19,620 --> 00:03:22,240
+vision, based on the law of rectilinear
+
+54
+00:03:22,240 --> 00:03:26,000
+diffraction, the subject of diffraction is
+
+55
+00:03:26,000 --> 00:03:28,460
+neglected. The subject of diffraction, we remember
+
+56
+00:03:28,460 --> 00:03:34,260
+that when the light enters,in openings in an islet
+
+57
+00:03:34,260 --> 00:03:36,460
+or in a wall or something like that, it gets
+
+58
+00:03:36,460 --> 00:03:40,480
+diffraction, it means that the light does not flow
+
+59
+00:03:40,480 --> 00:03:46,000
+in straight lines and this law was broken a long
+
+60
+00:03:46,000 --> 00:03:48,880
+time ago, but the science of geometric optics
+
+61
+00:03:48,880 --> 00:03:52,620
+still benefits from it to simplify some things, so
+
+62
+00:03:52,620 --> 00:03:56,100
+the light really does not flow in straight lines
+
+63
+00:03:56,550 --> 00:03:59,430
+Why? Because its nature is wavy, and waves are not
+
+64
+00:03:59,430 --> 00:04:01,930
+straight lines. This is one point. The other point
+
+65
+00:04:01,930 --> 00:04:04,950
+is that waves have a nature or a traffic
+
+66
+00:04:04,950 --> 00:04:05,930
+phenomenon, which is the phenomenon of
+
+67
+00:04:05,930 --> 00:04:09,470
+diffraction, which is the entry of light from
+
+68
+00:04:09,470 --> 00:04:12,790
+narrow openings in a wall or isletIt causes the
+
+69
+00:04:12,790 --> 00:04:16,550
+light to dilate and diverge, and this of course
+
+70
+00:04:16,550 --> 00:04:20,410
+negates the presence of light in straight lines
+
+71
+00:04:20,410 --> 00:04:22,670
+Okay, what do we do in the science of geometric
+
+72
+00:04:22,670 --> 00:04:25,990
+optics? If we depend on the law of straight lines,
+
+73
+00:04:27,050 --> 00:04:28,850
+we say that we want to avoid the subject of
+
+74
+00:04:28,850 --> 00:04:30,730
+diffraction, we want to forget it, in other words,
+
+75
+00:04:30,850 --> 00:04:33,620
+we want to forget itSo, since the science of
+
+76
+00:04:33,620 --> 00:04:35,880
+geometric optics is based on the law of
+
+77
+00:04:35,880 --> 00:04:40,160
+rectilinear propagation, this science ignores
+
+78
+00:04:40,160 --> 00:04:42,420
+diffraction and ignores the phenomena of
+
+79
+00:04:42,420 --> 00:04:45,340
+diffraction. Is it wrong to ignore the phenomena
+
+80
+00:04:45,340 --> 00:04:48,660
+of diffraction? The answer is that for clinical
+
+81
+00:04:48,660 --> 00:04:51,340
+purposes, diffraction effects are rarely
+
+82
+00:04:51,340 --> 00:04:53,820
+important. It is true that diffraction happens,
+
+83
+00:04:53,980 --> 00:04:58,220
+butFor medical purposes or in most medical devices
+
+84
+00:04:58,220 --> 00:05:02,380
+that use light, diffraction is low, so it is not
+
+85
+00:05:02,380 --> 00:05:03,120
+very important.
+
+86
+00:05:06,400 --> 00:05:09,400
+However, in situations where diffraction effects
+
+87
+00:05:09,400 --> 00:05:12,820
+are significant, geometric optics does not fully
+
+88
+00:05:12,820 --> 00:05:17,410
+describe damage. When I have a devicein industry
+
+89
+00:05:17,410 --> 00:05:21,410
+or in any field of life. And diffraction is very
+
+90
+00:05:21,410 --> 00:05:24,430
+important in it because it affects the device or
+
+91
+00:05:24,430 --> 00:05:28,660
+the image a lot.in a significant way when it comes
+
+92
+00:05:28,660 --> 00:05:30,600
+to diffraction, at that point, the science of
+
+93
+00:05:30,600 --> 00:05:33,580
+geometric optics will not be able to describe the
+
+94
+00:05:33,580 --> 00:05:35,860
+picture and give me its characteristics because
+
+95
+00:05:35,860 --> 00:05:37,640
+the science of geometric optics has nothing to do
+
+96
+00:05:37,640 --> 00:05:41,480
+with diffraction and in the device that we hit as
+
+97
+00:05:41,480 --> 00:05:44,240
+an example, diffraction is important, so the
+
+98
+00:05:44,240 --> 00:05:47,140
+science of geometric optics is not enough in this
+
+99
+00:05:47,140 --> 00:05:47,780
+case.
+
+100
+00:05:50,210 --> 00:05:52,930
+We move to the second point, which is the optical
+
+101
+00:05:52,930 --> 00:05:56,810
+interface The optical interface is the limit
+
+102
+00:05:56,810 --> 00:06:01,870
+between two different visual mediums in density or
+
+103
+00:06:01,870 --> 00:06:06,770
+different in refractive index When we say that
+
+104
+00:06:06,770 --> 00:06:09,850
+China medium and Saudi medium are different in
+
+105
+00:06:09,850 --> 00:06:13,030
+density, this means that they are different from
+
+106
+00:06:13,030 --> 00:06:16,760
+each otherin the refractive index, both of them
+
+107
+00:06:16,760 --> 00:06:19,700
+are called optical media or optical media,
+
+108
+00:06:19,860 --> 00:06:23,940
+sinusoid, but sinusoid differs from sinusoid in
+
+109
+00:06:23,940 --> 00:06:28,220
+that its density is differentThe higher the
+
+110
+00:06:28,220 --> 00:06:32,340
+density, the
+
+111
+00:06:32,340 --> 00:06:37,760
+higher the refractive index. And the lower the
+
+112
+00:06:37,760 --> 00:06:42,360
+density, the lower the refractive index. So, the
+
+113
+00:06:42,360 --> 00:06:46,920
+boundary between two different optical mediais
+
+114
+00:06:46,920 --> 00:06:51,840
+called an optical interface.إذن الحد الفاصل بين
+
+115
+00:06:51,840 --> 00:06:57,920
+وسطين بصريين زي الماء والهواء زي الهواء والزجاج زي
+
+116
+00:06:57,920 --> 00:07:03,440
+الماء والزجاج يسمى طبعا the boundary between two
+
+117
+00:07:03,440 --> 00:07:07,040
+different optical media is called an optical
+
+118
+00:07:07,040 --> 00:07:11,500
+interfacetypically when light reaches an optical
+
+119
+00:07:11,500 --> 00:07:15,460
+interface some light is transmitted through the
+
+120
+00:07:15,460 --> 00:07:20,180
+interface some is reflected and some is absorbed
+
+121
+00:07:20,180 --> 00:07:25,880
+or converted to heat by the interface نضرب مثال
+
+122
+00:07:25,880 --> 00:07:30,920
+على ذلك نقول لما بيصل الضوء قادما من أحد الأوساط
+
+123
+00:07:30,920 --> 00:07:36,880
+البصرية يعني خلينا احنا بالرسم يتضح الأمرwe say as
+
+124
+00:07:36,880 --> 00:07:41,060
+follows, this light is present in the air present
+
+125
+00:07:41,060 --> 00:07:43,920
+in the air and it wants to go to another
+
+126
+00:07:43,920 --> 00:07:47,580
+substance, let's suppose it's water let's suppose
+
+127
+00:07:47,580 --> 00:07:53,440
+it's water so this light let's
+
+128
+00:07:53,440 --> 00:07:58,100
+use the waves so that the motion is clear it's
+
+129
+00:07:58,100 --> 00:08:00,900
+clear that the light is moving when the light
+
+130
+00:08:00,900 --> 00:08:06,410
+reaches from the air to the surfacebetween air and
+
+131
+00:08:06,410 --> 00:08:11,210
+water, meaning water and air, three things happen
+
+132
+00:08:11,210 --> 00:08:15,030
+with light a part of it passes to the other
+
+133
+00:08:15,030 --> 00:08:16,910
+substance, that is, it passes to water, that is, a
+
+134
+00:08:16,910 --> 00:08:21,770
+part of the light, of the light rays, passes to
+
+135
+00:08:21,770 --> 00:08:26,400
+the other medium and a part of it is reflectedو
+
+136
+00:08:26,400 --> 00:08:31,320
+تالت اشي جزء منه بينطسه السطح الفاصل بتحول لحرارة
+
+137
+00:08:31,320 --> 00:08:35,840
+و بينطسه السطح الفاصل اذا عند انتقال الضوء من وسط
+
+138
+00:08:35,840 --> 00:08:41,540
+الى وسط اخر بيختلف عنه في ال refractive index يعني
+
+139
+00:08:41,540 --> 00:08:46,920
+بيختلف عنه في الكثافة بيحدث تلت اشياء جزء بينكسر
+
+140
+00:08:46,920 --> 00:08:50,860
+او بيمرand part of it is reflected and part of it
+
+141
+00:08:50,860 --> 00:08:56,140
+turns into heat, which is absorbed by the
+
+142
+00:08:56,140 --> 00:08:58,580
+separated surface between the two materials and
+
+143
+00:08:58,580 --> 00:09:04,240
+turns into heat Okay, we can say that we need
+
+144
+00:09:04,240 --> 00:09:08,540
+another example from practical life We say as
+
+145
+00:09:08,540 --> 00:09:12,440
+usual, a person stands in front of a car, this car
+
+146
+00:09:12,440 --> 00:09:18,840
+is parked on the streetفي الظهيرة في وقت الظهيرة و
+
+147
+00:09:18,840 --> 00:09:26,660
+الشمس حامية و شخص آخر شخص آخر داخل السيارة الان
+
+148
+00:09:26,660 --> 00:09:32,640
+الشخص اللي برا السيارة واقف ضوء الشمس بيسقط عليه
+
+149
+00:09:32,640 --> 00:09:38,060
+ثم بينعكس في جميع الاتجاهات طيب الان أصبح هذا
+
+150
+00:09:38,060 --> 00:09:42,460
+الشخص اللي برا السيارة مصدر للضوء بيعكس ضوء الشمس
+
+151
+00:09:43,180 --> 00:09:46,580
+طالما الشخص اللي جوا السيارة، شاف الشخص اللي برا
+
+152
+00:09:46,580 --> 00:09:50,080
+السيارة، معناته الضوء اللي إجا من الشخص اللي واقف
+
+153
+00:09:50,080 --> 00:09:56,220
+برا السيارة، نفذ عبر الزجاج، الزجاج وسطبصري و
+
+154
+00:09:56,220 --> 00:10:02,250
+الهواء وسطبصري، يعني الشخص واقف في الهواءthe sun's
+
+155
+00:10:02,250 --> 00:10:04,810
+light fell on him, the sun's light reflected
+
+156
+00:10:04,810 --> 00:10:08,070
+towards the car, or the reflected light from this
+
+157
+00:10:08,070 --> 00:10:12,570
+body, from this person outside the car, reflected
+
+158
+00:10:12,570 --> 00:10:16,510
+in all directions, a light band went towards the
+
+159
+00:10:16,510 --> 00:10:19,270
+car, the person inside the car saw the person
+
+160
+00:10:19,270 --> 00:10:22,230
+outside, which means the reflected light from the
+
+161
+00:10:22,230 --> 00:10:24,950
+person outside passed through the glass, so the
+
+162
+00:10:24,950 --> 00:10:26,390
+matter of light passing proved
+
+163
+00:10:28,660 --> 00:10:33,380
+نفسه الشخص اللي برا السيارة ممكن يشوف صورة حاله في
+
+164
+00:10:33,380 --> 00:10:37,260
+الجزاز، معناته جزء من الضوء اللي سقط منه على
+
+165
+00:10:37,260 --> 00:10:42,380
+الجزاز السيارة انعكس، اذا ايضا الانعكاس وارد، تالت
+
+166
+00:10:42,380 --> 00:10:46,150
+شئ لو هذا الشخص اللي برا السيارةI mean, if you put
+
+167
+00:10:46,150 --> 00:10:48,370
+your hand on the glass of the car, you will find
+
+168
+00:10:48,370 --> 00:10:52,850
+it warm or even sometimes it reaches the level of
+
+169
+00:10:52,850 --> 00:10:59,750
+warmth with the heat, with the heat Therefore,
+
+170
+00:11:00,130 --> 00:11:02,090
+there are three phenomena that we mentioned that
+
+171
+00:11:02,090 --> 00:11:08,430
+occur when the light moves from one middle to
+
+172
+00:11:08,430 --> 00:11:11,610
+another middle of the eye The first thing, a part
+
+173
+00:11:11,610 --> 00:11:16,010
+of it reflectsالشيء التاني جزء بيمر والشيء التالد
+
+174
+00:11:16,010 --> 00:11:21,890
+جزء بينتص بواسطة ال optical interface الحد الفاصل
+
+175
+00:11:21,890 --> 00:11:27,150
+ال optical interface و بتحول إلى حرارة .. و بتحول
+
+176
+00:11:27,150 --> 00:11:34,310
+إلى حرارة إذا
+
+177
+00:11:34,310 --> 00:11:37,830
+some light is transmitted through the interface
+
+178
+00:11:37,830 --> 00:11:42,630
+بيمر some is reflected على تاني إشي بينعكسand some
+
+179
+00:11:42,630 --> 00:11:46,370
+is absorbed or converted to heat by the interface.
+
+180
+00:11:47,450 --> 00:11:51,390
+طب جداش نسبة كل حاجة من التلت حاجات هدول، the
+
+181
+00:11:51,390 --> 00:11:55,330
+amount of light transmitted, reflected and
+
+182
+00:11:55,330 --> 00:11:58,850
+absorbed depends on several factors. يعني جداش
+
+183
+00:11:58,850 --> 00:12:02,750
+نسبة كل واحد، جداش نسبة الإشعاعات الضوئية اللي
+
+184
+00:12:02,750 --> 00:12:06,130
+بتمر، و الإشعاعات الضوئية اللي بتنعكس، و الإشعاعات
+
+185
+00:12:06,130 --> 00:12:10,030
+الضوئية اللي بتتحول لحرارة، يعني بتنتصب وسط السطح
+
+186
+00:12:10,030 --> 00:12:15,410
+الفاصل،this depends on many factors when light
+
+187
+00:12:15,410 --> 00:12:20,250
+reaches smooth optical interface it undergoes
+
+188
+00:12:20,250 --> 00:12:24,330
+specular reflection and transmission we go back to
+
+189
+00:12:24,330 --> 00:12:29,470
+the drawing that explains this case we say when we
+
+190
+00:12:29,470 --> 00:12:32,830
+find a distance between two objects this distance
+
+191
+00:12:33,350 --> 00:12:37,870
+It can be because it's flat as you can see, and it
+
+192
+00:12:37,870 --> 00:12:41,410
+can be because it's slanted, meaning an optical
+
+193
+00:12:41,410 --> 00:12:46,990
+interface, a distance between two lenses, but not
+
+194
+00:12:46,990 --> 00:12:50,790
+a flat surface, meaning a slanted surface Now when
+
+195
+00:12:50,790 --> 00:12:54,650
+I have a smooth optical interface as we can see,
+
+196
+00:12:55,290 --> 00:13:01,080
+and I haveFalling from one center to another
+
+197
+00:13:01,080 --> 00:13:05,480
+becomes a regular reflection and a regular
+
+198
+00:13:05,480 --> 00:13:07,800
+contraction Regular reflection and contraction
+
+199
+00:13:07,800 --> 00:13:11,700
+Regular in the sense that it doesn't become a
+
+200
+00:13:11,700 --> 00:13:16,300
+random reflection I mean .. I mean if a light beam
+
+201
+00:13:16,300 --> 00:13:20,940
+falls from this light sourcereflected a part of it
+
+202
+00:13:20,940 --> 00:13:23,200
+and passed through a part of it and turned a part
+
+203
+00:13:23,200 --> 00:13:25,980
+of it into heat the issue of turning a part of it
+
+204
+00:13:25,980 --> 00:13:28,220
+into heat, we must forget it because it is a
+
+205
+00:13:28,220 --> 00:13:31,360
+matter related to physical optics now, what is
+
+206
+00:13:31,360 --> 00:13:34,380
+related to geometrical optics what reflects,
+
+207
+00:13:34,680 --> 00:13:39,460
+reflects regularly and what breaks, breaks or what
+
+208
+00:13:39,460 --> 00:13:42,400
+passes, passes regularly in the sense of a
+
+209
+00:13:42,400 --> 00:13:46,000
+parallel light band let's say 100 thousand rays
+
+210
+00:13:46,300 --> 00:13:50,100
+fell on the optical interface, a part of it is
+
+211
+00:13:50,100 --> 00:13:51,360
+reflected, let's say out of one hundred thousand
+
+212
+00:13:51,360 --> 00:13:54,440
+rays, ten percent is reflected, this ten percent
+
+213
+00:13:54,440 --> 00:13:59,100
+is not reflected randomly, it is reflected in a
+
+214
+00:13:59,100 --> 00:14:01,680
+regular way, in a regular way, also the remaining
+
+215
+00:14:01,680 --> 00:14:03,760
+part that passes, which is about ninety percent,
+
+216
+00:14:04,940 --> 00:14:08,360
+when it passes, it passes in a regular way, not in
+
+217
+00:14:08,360 --> 00:14:13,010
+a random way, not in a random wayWhen light
+
+218
+00:14:13,010 --> 00:14:16,410
+reaches smooth optical interface, and we say that
+
+219
+00:14:16,410 --> 00:14:20,150
+the optical interface must be smooth, that is,
+
+220
+00:14:20,210 --> 00:14:24,970
+smooth and even, smooth and even surface. It
+
+221
+00:14:24,970 --> 00:14:28,450
+undergoes specular reflection and transmission.
+
+222
+00:14:28,950 --> 00:14:33,870
+No, it happens three things. The third thing is
+
+223
+00:14:33,870 --> 00:14:35,910
+that it turns into a heat that we did not make in
+
+224
+00:14:35,910 --> 00:14:38,730
+it, as we said. As for the other two things, which
+
+225
+00:14:38,730 --> 00:14:40,850
+are reflection and transmission, which are
+
+226
+00:14:40,850 --> 00:14:44,250
+reflection and passage,بيتم بشكل specular، يعني
+
+227
+00:14:44,250 --> 00:14:48,670
+بإنعكاس، شكل منطفا، بشكل منطفا، زي ما الصورة هادي
+
+228
+00:14:48,670 --> 00:14:51,850
+بتوضح، طبعا الصورة هاي عبارة عن light ray واحد، بس
+
+229
+00:14:51,850 --> 00:14:56,470
+إحنا بنتصور إنها حزمة ضوئية، مكونا من العديد من
+
+230
+00:14:56,470 --> 00:15:00,580
+الإشعاعات، هاي وسط تاني، وهي الهواءwhich is the
+
+231
+00:15:00,580 --> 00:15:02,360
+first middle point Let's say this middle point is
+
+232
+00:15:02,360 --> 00:15:05,140
+the glass, part of the light beam will be
+
+233
+00:15:05,140 --> 00:15:07,600
+reflected and part will pass through it But
+
+234
+00:15:07,600 --> 00:15:09,780
+because the distance between the glass and the air
+
+235
+00:15:09,780 --> 00:15:14,060
+is smooth, the part that will be reflected will be
+
+236
+00:15:14,060 --> 00:15:16,800
+reflected in an even way and the part that will
+
+237
+00:15:16,800 --> 00:15:21,720
+pass through will pass through in an even way At
+
+238
+00:15:21,720 --> 00:15:24,980
+rough optical interface, if I have a distance
+
+239
+00:15:24,980 --> 00:15:27,040
+between two middle points, but this surface is
+
+240
+00:15:27,040 --> 00:15:31,490
+rough,Light undergoes diffuse reflection and
+
+241
+00:15:31,490 --> 00:15:36,330
+transmission لو عندي سطح فاصل بين مادتين، هوا و
+
+242
+00:15:36,330 --> 00:15:40,190
+ميه، هوا و اجزاز، اجزاز و ميه، وفي عندي الضوء جاي
+
+243
+00:15:40,190 --> 00:15:43,970
+من مادة لأ، من إحدى المادتين للمادة التانية، بس
+
+244
+00:15:43,970 --> 00:15:48,750
+السطح الفاصل rough، rough يعني خشن أو غير منتظم
+
+245
+00:15:49,510 --> 00:15:53,110
+Then the light undergoes diffuse reflection and
+
+246
+00:15:53,110 --> 00:15:55,810
+transmission. The part that passes by, passes by
+
+247
+00:15:55,810 --> 00:15:59,190
+randomly, and the part that is reflected, is
+
+248
+00:15:59,190 --> 00:16:02,270
+reflected randomly. Here I have a substance here,
+
+249
+00:16:02,770 --> 00:16:04,330
+and here I have another substance. This is the
+
+250
+00:16:04,330 --> 00:16:07,630
+separated surface between them that is rough, not
+
+251
+00:16:07,630 --> 00:16:13,180
+balanced. When the light band fallsI have
+
+252
+00:16:13,180 --> 00:16:16,200
+reflections in various directions. Of course, I'm
+
+253
+00:16:16,200 --> 00:16:17,960
+not drawing the part that passed, but the part
+
+254
+00:16:17,960 --> 00:16:20,900
+that passed will also pass randomly, scattered and
+
+255
+00:16:20,900 --> 00:16:27,120
+messed up When I have a
+
+256
+00:16:27,120 --> 00:16:30,200
+light pole that fell on a rough optical interface,
+
+257
+00:16:30,680 --> 00:16:33,040
+the part that is reflected also reflects all the
+
+258
+00:16:33,040 --> 00:16:35,440
+rays in a certain direction, which means that
+
+259
+00:16:35,440 --> 00:16:41,340
+things don't work in a regular wayطيب، الآن
+
+260
+00:16:41,340 --> 00:16:45,160
+العلماء سألوا أنفسهم سؤال، و هذا سؤال عمليا غير
+
+261
+00:16:45,160 --> 00:16:48,420
+ممكن التطبيق، بس قالوا لو أنه احنا ال pencil of
+
+262
+00:16:48,420 --> 00:16:53,840
+light، حزمة الضوء is reduced to a single ray، لو
+
+263
+00:16:53,840 --> 00:16:59,000
+جيبنا حزمة ضوء، ضوء، حزمة ضوء، و اختصرناها لlight
+
+264
+00:16:59,000 --> 00:17:03,780
+ray واحد، و أسقطنا هذا light ray الواحد على rough
+
+265
+00:17:03,780 --> 00:17:11,000
+optical interface، هينعكس بشكل منتظر، ليش؟It is
+
+266
+00:17:11,000 --> 00:17:14,460
+reflected and transmitted specularly by rough
+
+267
+00:17:14,460 --> 00:17:19,360
+interface يعني لو بده يمر، هيمر بشكل منتظم و لو
+
+268
+00:17:19,360 --> 00:17:23,960
+بده ينعكس، بنعكس بشكل منتظم ليش على rough optical
+
+269
+00:17:23,960 --> 00:17:28,560
+interface لو اختصرنا كل حزمة الأشعة لشعاع واحد،
+
+270
+00:17:28,560 --> 00:17:32,180
+هذا الشعاع إذا بده يمر، هيمر بشكل منتظم و لو إذا
+
+271
+00:17:32,180 --> 00:17:36,720
+بده ينعكس، بنعكس بشكل منتظم بينما لو في حزمة كاملة
+
+272
+00:17:36,720 --> 00:17:41,560
+من الضوء، عشرين ألف، تلاتين ألف شعاعSometimes if
+
+273
+00:17:41,560 --> 00:17:43,960
+it starts to reflect, it will reflect in a diffuse
+
+274
+00:17:43,960 --> 00:17:46,700
+way on a rough surface, and if it starts to pass,
+
+275
+00:17:46,760 --> 00:17:48,200
+or the part that wants to pass from it, it will
+
+276
+00:17:48,200 --> 00:17:50,800
+pass in a diffuse way as well, that is, irregular
+
+277
+00:17:50,800 --> 00:17:54,220
+and random The simple reason is that the light
+
+278
+00:17:54,220 --> 00:17:59,280
+rail 1, the light rail 1 is not compared to .. I
+
+279
+00:17:59,280 --> 00:18:01,640
+mean it doesn't have .. it doesn't have another
+
+280
+00:18:01,640 --> 00:18:05,870
+beam that I call the second one, I mean ..they
+
+281
+00:18:05,870 --> 00:18:09,970
+walk in an organized way or in an unorganized way
+
+282
+00:18:09,970 --> 00:18:12,330
+In other words, to make it easier to understand,
+
+283
+00:18:12,470 --> 00:18:16,720
+let's say there's one student in a schoolوطلبنا من
+
+284
+00:18:16,720 --> 00:18:20,560
+هذا التلميذ وهو يسير في ساحة المدرسة وقلنا له إيجي
+
+285
+00:18:20,560 --> 00:18:24,920
+في طابور وين ما وقف وين ما وقف في أي جزء من الساحة
+
+286
+00:18:24,920 --> 00:18:28,880
+فهو يعتبر واقف طابور ومش مخل بالطابور، ليش؟ لإن
+
+287
+00:18:28,880 --> 00:18:32,160
+الطابور هو عبارة عن شخص واحد اللي هو هذا التلميذ،
+
+288
+00:18:32,160 --> 00:18:35,820
+بينما لو عندي أكتر من .. من تلميذ، تنين أو تلاتة
+
+289
+00:18:35,820 --> 00:18:39,330
+وقلنا لهمhe came in a line, the three had to
+
+290
+00:18:39,330 --> 00:18:43,170
+gather in one place and line up in a regular
+
+291
+00:18:43,170 --> 00:18:45,310
+manner and line up in a regular manner, but if the
+
+292
+00:18:45,310 --> 00:18:49,350
+school is composed of one student arguing and we
+
+293
+00:18:49,350 --> 00:18:51,330
+told him to come in a line from wherever he stood,
+
+294
+00:18:51,430 --> 00:18:53,050
+that is, if he stood on the side of the school, in
+
+295
+00:18:53,050 --> 00:18:55,110
+the middle of the school, in the first school,
+
+296
+00:18:55,670 --> 00:18:59,010
+then wherever he stood is considered a regular
+
+297
+00:18:59,010 --> 00:19:00,770
+position, is considered a regular position because
+
+298
+00:19:00,770 --> 00:19:03,410
+there is no other student compared to him,
+
+299
+00:19:03,430 --> 00:19:07,100
+compared to himفبالتالي لو شعاع واحد سقط على rough
+
+300
+00:19:07,100 --> 00:19:10,700
+optical interface، إذا بده ينعكس، بنعكس بشكل
+
+301
+00:19:10,700 --> 00:19:14,640
+specular، يعني منتظم، وإذا بده يمر، بيصير ..
+
+302
+00:19:14,640 --> 00:19:18,180
+بيصيرله specular transmission، يعني مرور منتظم
+
+303
+00:19:20,410 --> 00:19:22,990
+We come to the general reflection, which means we
+
+304
+00:19:22,990 --> 00:19:25,170
+said that there are three things that happen to us
+
+305
+00:19:25,170 --> 00:19:31,830
+when the light falls on an optical interface at a
+
+306
+00:19:31,830 --> 00:19:34,190
+distance between two materials or between two
+
+307
+00:19:34,190 --> 00:19:38,930
+visual mediums I have a part that reflects and a
+
+308
+00:19:38,930 --> 00:19:41,250
+part that passes, which means it breaks, and a
+
+309
+00:19:41,250 --> 00:19:44,050
+part that turns into heat The part that turns into
+
+310
+00:19:44,050 --> 00:19:47,170
+heat on the surfaceThis is not going to be
+
+311
+00:19:47,170 --> 00:19:49,610
+discussed in Geometric Optics because it has
+
+312
+00:19:49,610 --> 00:19:52,150
+nothing to do with it The part that is going to
+
+313
+00:19:52,150 --> 00:19:53,590
+pass, we are going to delay it, we are going to
+
+314
+00:19:53,590 --> 00:19:56,370
+talk about the inversionand we will talk
+
+315
+00:19:56,370 --> 00:19:59,390
+specifically about the regular reflection, which
+
+316
+00:19:59,390 --> 00:20:03,330
+means that the optical interface should be smooth,
+
+317
+00:20:03,450 --> 00:20:07,710
+smooth optical interface whether you see the part
+
+318
+00:20:07,710 --> 00:20:11,070
+that is reflected, the part that is reflected,
+
+319
+00:20:12,030 --> 00:20:14,770
+what is its position, and therefore we will cancel
+
+320
+00:20:14,770 --> 00:20:17,990
+this case and see, I mean
+
+321
+00:20:26,760 --> 00:20:28,800
+فقط هنركز على جزء الانعكاس فقط هنركز على جزء
+
+322
+00:20:28,800 --> 00:20:31,300
+الانعكاس فقط هنركز على جزء الانعكاس فقط هنركز على
+
+323
+00:20:31,300 --> 00:20:31,660
+جزء الانعكاس فقط هنركز على جزء الانعكاس فقط هنركز
+
+324
+00:20:31,660 --> 00:20:31,960
+على جزء الانعكاس فقط هنركز على جزء الانعكاس فقط
+
+325
+00:20:31,960 --> 00:20:34,820
+هنركز على جزء الانعكاس فقط هنركز على جزء الانعكاس
+
+326
+00:20:34,820 --> 00:20:39,620
+فقط هنركز على جزء الانعكاس فقط هنركز على جزء
+
+327
+00:20:39,620 --> 00:20:43,160
+الانعكاس فقط هنركز على جزء الانعكاس فقط هنركز على
+
+328
+00:20:43,160 --> 00:20:50,540
+جزء الانعكاس فقط هنركز على جزء الانعكاس فقط هنركز
+
+329
+00:20:50,540 --> 00:20:54,400
+على جزء الانعكIn the regular reflection, the
+
+330
+00:20:54,400 --> 00:20:58,040
+direction of reflected ray bears a definite
+
+331
+00:20:58,040 --> 00:21:03,040
+relationship to the direction of incident ray We
+
+332
+00:21:03,040 --> 00:21:08,700
+say .. In the regular reflection, the direction of
+
+333
+00:21:08,700 --> 00:21:13,000
+the reflected ray has a fixed and determined
+
+334
+00:21:13,000 --> 00:21:15,860
+relation compared to the falling ray This is
+
+335
+00:21:15,860 --> 00:21:19,600
+called the falling ray Let's see in the form of
+
+336
+00:21:19,600 --> 00:21:25,180
+waves to see where the movement isإذن شعاع بيسكت
+
+337
+00:21:25,180 --> 00:21:30,620
+وبيكون نصيب من الأشعة إنه الجزء اللي بينعكس هو
+
+338
+00:21:30,620 --> 00:21:34,880
+اللي هندرسوه اليوم إذن الشعاع المنعكس reflected
+
+339
+00:21:34,880 --> 00:21:40,040
+ray reflected ray bears يحمل definite relation
+
+340
+00:21:40,040 --> 00:21:44,900
+علاقة واضحة ومحددة بالنسبة للشعاع الساقط اللي هو
+
+341
+00:21:44,900 --> 00:21:50,020
+incident ray اللي هو incident ray إذن to express
+
+342
+00:21:50,020 --> 00:21:54,260
+precise relationshipbetween incident ray and
+
+343
+00:21:54,260 --> 00:21:57,560
+reflected rays, it is necessary to construct an
+
+344
+00:21:57,560 --> 00:22:01,080
+imaginary line perpendicular to the optical
+
+345
+00:22:01,080 --> 00:22:04,240
+interface at the point where the incident ray
+
+346
+00:22:04,240 --> 00:22:08,320
+meets the interface. This imaginary line is a
+
+347
+00:22:08,320 --> 00:22:11,140
+service norm. The drawing will explain this
+
+348
+00:22:11,140 --> 00:22:14,100
+sentence and we will read it again. In order to
+
+349
+00:22:14,100 --> 00:22:17,100
+know the relation between the reflected rays and
+
+350
+00:22:17,100 --> 00:22:20,180
+the falling rays, the first thing we need to draw
+
+351
+00:22:21,280 --> 00:22:25,600
+An imaginary line, this imaginary line must be
+
+352
+00:22:25,600 --> 00:22:27,560
+perpendicular to the optical interface,
+
+353
+00:22:27,660 --> 00:22:30,000
+perpendicular to the surface So where do we draw
+
+354
+00:22:30,000 --> 00:22:32,860
+it? Do we draw it here, or here, or here? No, we
+
+355
+00:22:32,860 --> 00:22:35,580
+will draw it at the point .. at the point of
+
+356
+00:22:35,580 --> 00:22:38,460
+contact of the falling rainbow with the surface
+
+357
+00:22:38,460 --> 00:22:41,920
+The falling rainbow fell and reached .. now it
+
+358
+00:22:41,920 --> 00:22:45,170
+reached hereAnd we imagine that time has stopped,
+
+359
+00:22:45,330 --> 00:22:48,390
+it hasn't reversed yet, so the falling candle fell
+
+360
+00:22:48,390 --> 00:22:51,970
+and reached that it made a touch, that is, it
+
+361
+00:22:51,970 --> 00:22:56,370
+touched the separate surface between the first
+
+362
+00:22:56,370 --> 00:23:01,680
+substance and the second substanceهذا الشعاع مصيبه
+
+363
+00:23:01,680 --> 00:23:05,460
+انه ينعكس مش يمر جزء من الأشعاع هتمر و جزء هتنعكس
+
+364
+00:23:05,460 --> 00:23:09,180
+احنا هنحكي على اللي هتنعكس عشان نعرف العلاقة بين
+
+365
+00:23:09,180 --> 00:23:13,100
+الشعاع المنعكس اللي هو reflected ray و الشعاع
+
+366
+00:23:13,100 --> 00:23:17,640
+الساقط اللي هو incident ray لازم احنا نرسم ال
+
+367
+00:23:17,640 --> 00:23:22,100
+service normalKilomet service normal تعني العمود
+
+368
+00:23:22,100 --> 00:23:27,040
+المقام على السطح كلمة service normal تعني العمود
+
+369
+00:23:27,040 --> 00:23:31,300
+المقام على السطح الفاصل بين المادتين أو بين
+
+370
+00:23:31,300 --> 00:23:31,920
+الوسطين كلمة service normal تعني العمود المقام على
+
+371
+00:23:31,920 --> 00:23:32,720
+السطح الفاصل بين المادتين أو بين الوسطين طيب وين
+
+372
+00:23:32,720 --> 00:23:35,440
+أرسم هذا العمود؟ أرسمه في النقطة high ولا عند
+
+373
+00:23:35,440 --> 00:23:38,060
+النقطة high؟ ما يكون لها هذا سطح فاصل وممكن أرسم
+
+374
+00:23:38,060 --> 00:23:42,500
+العمود؟ لأ العمود بده يرسم .. بده يرسم عند نقطة
+
+375
+00:23:42,500 --> 00:23:48,160
+الدقاء الشعاع الساقط .. الشعاع الساقط مع السطحSo
+
+376
+00:23:48,160 --> 00:23:51,500
+they meet at this point, I bring the pencil and I
+
+377
+00:23:51,500 --> 00:23:54,400
+draw a vertical line on the surface, a vertical
+
+378
+00:23:54,400 --> 00:23:58,040
+line on the surface, I call it service normal Now
+
+379
+00:23:58,040 --> 00:24:01,000
+this line which is the falling rain, the incident
+
+380
+00:24:01,000 --> 00:24:04,200
+rain, and the imaginary line, this is another line
+
+381
+00:24:04,200 --> 00:24:09,020
+They form an empty level between them, they call
+
+382
+00:24:09,020 --> 00:24:13,980
+it plane of incidence and reflectiona plane of
+
+383
+00:24:13,980 --> 00:24:17,540
+incidence and reflection يعني مستوى السقوط
+
+384
+00:24:17,540 --> 00:24:21,580
+والانعكاس ممكن انسان يستغرب يقول ليش سميناه مستوى
+
+385
+00:24:21,580 --> 00:24:25,480
+السقوط والانعكاس مع انه كلمة انعكاس لسه احنا انا
+
+386
+00:24:25,480 --> 00:24:29,060
+ما اتكلمنا عن الشعاع المنعكس احنا بنتكلم عن الشعاع
+
+387
+00:24:29,060 --> 00:24:33,520
+الساقط فقط مع ال service normal يعني كل خطين
+
+388
+00:24:33,520 --> 00:24:37,910
+مستقيمينthey meet at a point where they restrict
+
+389
+00:24:37,910 --> 00:24:41,730
+or restrict each other or there is a gap between
+
+390
+00:24:41,730 --> 00:24:46,570
+them gap gap gap gap gap gap gap gap gap gap gap
+
+391
+00:24:46,570 --> 00:24:49,270
+gap gap gap gap gap gap gap gap gap gap gap gap
+
+392
+00:24:49,270 --> 00:24:49,330
+gap gap gap gap gap gap gap gap gap gap gap gap
+
+393
+00:24:49,330 --> 00:24:49,770
+gap gap gap gap gap gap gap gap gap gap gap gap
+
+394
+00:24:49,770 --> 00:24:52,690
+gap gap gap gap gap gap gap gap gap gap gap gap
+
+395
+00:24:52,690 --> 00:25:02,390
+gap gap gap gap gap gap gap gap gap gap gap
+
+396
+00:25:02,390 --> 00:25:07,800
+gap gap gapto construct an imaginary line لابد انه
+
+397
+00:25:07,800 --> 00:25:13,380
+نرسم او ننشط خط تخيلي perpendicular عمودي to the
+
+398
+00:25:13,380 --> 00:25:17,640
+optical interface بس when at the point عند النقطة
+
+399
+00:25:17,640 --> 00:25:21,140
+اللي ال incident ray meets the interface عند
+
+400
+00:25:21,140 --> 00:25:24,280
+النقطة اللي اللي فيها الشعاع الساطط بيقابل او
+
+401
+00:25:24,280 --> 00:25:29,540
+بيلتقي مع السطح الفاصل this imaginary line is
+
+402
+00:25:29,540 --> 00:25:34,760
+service normal اذا هايالشعاع الساقط، هاي الشعاع
+
+403
+00:25:34,760 --> 00:25:40,500
+الساقط حسب السهم ما بي .. بيوضح عند النقطة التقاء
+
+404
+00:25:40,500 --> 00:25:45,780
+الشعاع الساقط مع السطح الفاصل أنا بأنشئ العمود هذا
+
+405
+00:25:45,780 --> 00:25:49,340
+اللي هو خط تخيلي و بسميه surface normal بسميه
+
+406
+00:25:49,340 --> 00:25:54,900
+surface normal The surface normal and incident ray
+
+407
+00:25:54,900 --> 00:26:00,000
+together define an imaginary plane known as the
+
+408
+00:26:00,000 --> 00:26:04,850
+plane of incidence and reflectionthis is the
+
+409
+00:26:04,850 --> 00:26:07,250
+falling rain and this is the service, normal, they
+
+410
+00:26:07,250 --> 00:26:10,370
+define a level of emptiness for me this level of
+
+411
+00:26:10,370 --> 00:26:16,210
+emptiness scientists call it plane of incidence
+
+412
+00:26:16,210 --> 00:26:20,650
+and reflection plane of incidence and reflection
+
+413
+00:26:20,650 --> 00:26:24,610
+and therefore .. and therefore .. we do not call
+
+414
+00:26:24,610 --> 00:26:27,610
+it plane of incidence although until now what has
+
+415
+00:26:27,610 --> 00:26:30,810
+been mentioned is the falling rain after that we
+
+416
+00:26:30,810 --> 00:26:34,630
+will know why it is called planeهذا المستوى
+
+417
+00:26:34,630 --> 00:26:38,970
+الفراري المحصور بين ال service normal و ال
+
+418
+00:26:38,970 --> 00:26:42,570
+incident ray بنسمي plane of incidence and
+
+419
+00:26:42,570 --> 00:26:47,270
+reflection ليش؟ لأنه أيضا هنكتشف إن ال reflected
+
+420
+00:26:47,270 --> 00:26:51,470
+ray يقع في نفس المستوى الفراري هنكتشف إن ال
+
+421
+00:26:51,470 --> 00:26:56,130
+reflected ray يقع في نفس المستوى الفراري فبالتالي
+
+422
+00:26:56,130 --> 00:27:00,250
+the angle formed by the incident ray and the
+
+423
+00:27:00,250 --> 00:27:05,450
+service normal is the angle of incidenceليه θ I I
+
+424
+00:27:05,450 --> 00:27:09,450
+يعني incidence زاوية السقوط angle of incidence هي
+
+425
+00:27:09,450 --> 00:27:13,310
+الزاوية المحصورة بين ال incident ray و ال surface
+
+426
+00:27:13,310 --> 00:27:18,850
+normal ضروري جدا ليه هذه زاوية خمسة و أربعين ما
+
+427
+00:27:18,850 --> 00:27:21,150
+لها الزاوية خمسة و أربعين اللي أنا بأشير عليها
+
+428
+00:27:21,150 --> 00:27:25,570
+محصورة بين الشعاع الساقط و العمود اللي مقام على
+
+429
+00:27:25,570 --> 00:27:30,570
+السطح و العمود اللي مقام على السطح هذه تسمى زاوية
+
+430
+00:27:30,570 --> 00:27:39,190
+السقوط زاوية السقوطthe angle between the incident
+
+431
+00:27:39,190 --> 00:27:43,050
+ray and the service normal is the angle of
+
+432
+00:27:43,050 --> 00:27:48,090
+incidence θI which is the angle of incidence and
+
+433
+00:27:48,090 --> 00:27:53,350
+the angle between the reflected ray and the
+
+434
+00:27:53,350 --> 00:27:59,610
+service normal is the angle of incidence which is
+
+435
+00:27:59,610 --> 00:28:05,560
+θR which is the angle of incidenceThe angle of the
+
+436
+00:28:05,560 --> 00:28:09,200
+fall and the angle of the reflection, the angle of
+
+437
+00:28:09,200 --> 00:28:11,640
+the fall is limited between the service normal and
+
+438
+00:28:11,640 --> 00:28:13,940
+the falling candle, and the angle of the
+
+439
+00:28:13,940 --> 00:28:16,400
+reflection is limited between the service normal
+
+440
+00:28:16,400 --> 00:28:20,000
+and the reflected candle. Some people may get
+
+441
+00:28:20,000 --> 00:28:21,960
+confused and say this is the angle of the fall
+
+442
+00:28:22,520 --> 00:28:24,540
+which is between the falling rays and the optical
+
+443
+00:28:24,540 --> 00:28:27,900
+interface, wrong, this is not a falling angle, and
+
+444
+00:28:27,900 --> 00:28:29,980
+also people can get confused and say that the
+
+445
+00:28:29,980 --> 00:28:31,980
+angle of reflection is between the reflected rays
+
+446
+00:28:31,980 --> 00:28:34,160
+and the optical interface, and this is wrong,
+
+447
+00:28:34,620 --> 00:28:37,680
+always, why do we draw the surface normal? To
+
+448
+00:28:37,680 --> 00:28:40,300
+determine where is the angle of fall and where is
+
+449
+00:28:40,300 --> 00:28:43,080
+the angle of reflection, so this issue must be
+
+450
+00:28:43,080 --> 00:28:47,690
+very clear, so this is notThe angle formed by the
+
+451
+00:28:47,690 --> 00:28:50,970
+incident ray and surface normal is the angle of
+
+452
+00:28:50,970 --> 00:28:55,070
+incidence θI. This is not the angle between the
+
+453
+00:28:55,070 --> 00:28:57,490
+incident ray and the optical interface.
+
+454
+00:29:14,980 --> 00:29:18,220
+The reflected ray and the service normal form the
+
+455
+00:29:18,220 --> 00:29:19,680
+angle of reflection
+
+456
+00:29:44,280 --> 00:29:48,700
+الان نيجي لقانون الانعكاس The law of reflection
+
+457
+00:29:48,700 --> 00:29:54,880
+states that ينص على انه the reflected ray lies in
+
+458
+00:29:54,880 --> 00:29:57,980
+the same plane as the incident ray and the surface
+
+459
+00:29:57,980 --> 00:30:01,840
+normal the reflected ray lies in the plane of
+
+460
+00:30:01,840 --> 00:30:08,360
+incidence and that θI تساوي θR اذا قانون الانعكاس
+
+461
+00:30:08,360 --> 00:30:13,900
+بنص على جملتين مهمات جدا جدا لا ثالثة لهم اول حاجة
+
+462
+00:30:14,770 --> 00:30:19,010
+The reflected ray falls in the same level of
+
+463
+00:30:19,010 --> 00:30:22,550
+emptiness as the incident ray and the service
+
+464
+00:30:22,550 --> 00:30:22,890
+normal
+
+465
+00:30:29,500 --> 00:30:33,160
+a plane of incidence and reflection, وهي كوضحة ليش
+
+466
+00:30:33,160 --> 00:30:36,280
+التسمية ما .. ما .. ما اختصرناهاش وقولنا plane of
+
+467
+00:30:36,280 --> 00:30:39,980
+incidence لأ هو plane of incidence and reflection
+
+468
+00:30:39,980 --> 00:30:44,280
+لأنه الجزء الأول من قانون الانعكاس من ال law of
+
+469
+00:30:44,280 --> 00:30:48,020
+reflection بينص على ان ال reflected ray lies in
+
+470
+00:30:48,020 --> 00:30:51,220
+the same plane as the surface normal and incident
+
+471
+00:30:51,220 --> 00:30:56,610
+rayThe second and last sentence in the law of
+
+472
+00:30:56,610 --> 00:31:00,970
+inversion is that θI is equal to θR The angle of
+
+473
+00:31:00,970 --> 00:31:04,290
+fall is equal to the angle of inversion And this
+
+474
+00:31:04,290 --> 00:31:07,710
+is very clear, if the angle of fall is 45, then
+
+475
+00:31:07,710 --> 00:31:09,750
+immediately I know that the angle of inversion is
+
+476
+00:31:09,750 --> 00:31:16,070
+45 41 and 3 out of 10, then the angle of inversion
+
+477
+00:31:16,070 --> 00:31:17,870
+is 41 and 3 out of 10
+
+478
+00:31:48,880 --> 00:31:55,660
+The law of
+
+479
+00:31:55,660 --> 00:32:01,900
+reflection states thatThe reflected ray lies in
+
+480
+00:32:01,900 --> 00:32:05,320
+the same plane as the incident ray and the surface
+
+481
+00:32:05,320 --> 00:32:11,280
+normal The reflected ray lies in the plane of
+
+482
+00:32:11,280 --> 00:32:18,400
+incidence and reflection and that theta I is equal
+
+483
+00:32:18,400 --> 00:32:19,260
+to theta I
+
+484
+00:32:22,700 --> 00:32:25,600
+The amount of light reflected from a surface
+
+485
+00:32:25,600 --> 00:32:29,760
+depends on θI and the plane of polarization of
+
+486
+00:32:29,760 --> 00:32:35,060
+light نرجع احنا بنقول جديش احنا عندنا انعكس ..
+
+487
+00:32:35,060 --> 00:32:41,740
+جديش انعكس .. هاي انا عندى حزمة ضوئية مرت .. حزمة
+
+488
+00:32:41,740 --> 00:32:46,860
+ضوئية مرتpart of it is reversed and part of it is
+
+489
+00:32:46,860 --> 00:32:50,060
+broken or gone how much of what is reversed and
+
+490
+00:32:50,060 --> 00:32:54,520
+how much of what is gone this depends on two
+
+491
+00:32:54,520 --> 00:32:57,500
+things first thing, the angle of fall whether it
+
+492
+00:32:57,500 --> 00:33:01,120
+is big or small it is known that the bigger the
+
+493
+00:33:01,120 --> 00:33:04,340
+angle of fall the bigger the angle of fall, let's
+
+494
+00:33:04,340 --> 00:33:07,000
+enlarge the angle of fall the amount of what is
+
+495
+00:33:07,000 --> 00:33:09,200
+reversed is more and the amount of what is gone is
+
+496
+00:33:09,200 --> 00:33:15,480
+lessThe larger the angle of incidence, the greater
+
+497
+00:33:15,480 --> 00:33:20,000
+is the amount of reflection In other words, the
+
+498
+00:33:20,000 --> 00:33:22,240
+smaller it is, the greater is the amount of
+
+499
+00:33:22,240 --> 00:33:29,540
+passage It could be that the slope of these waves
+
+500
+00:33:29,540 --> 00:33:32,100
+here is high, which means that the amount of
+
+501
+00:33:32,100 --> 00:33:39,020
+passage .. Or let's .. I mean, let's not connect
+
+502
+00:33:39,020 --> 00:33:44,580
+it with ..بموضوع الرفع والخمل، يعني كل ما بتكبر
+
+503
+00:33:44,580 --> 00:33:49,260
+زاوية السقوط، كل ما بتكبر زاوية السقوط، بيكون كمية
+
+504
+00:33:49,260 --> 00:33:54,780
+المنعكس أكتر، وكل ما بتقل، كل ما بتقل زاوية
+
+505
+00:33:54,780 --> 00:33:58,660
+السقوط، تصغر زاوية السقوط، بيصير نسبة اللي بمر
+
+506
+00:33:58,660 --> 00:34:00,940
+أكتر ونسبة اللي منعكس أقل، اذا
+
+507
+00:34:04,890 --> 00:34:07,790
+The amount of light reflected from a surface
+
+508
+00:34:07,790 --> 00:34:13,750
+depends on θI Also depends on the plane of
+
+509
+00:34:13,750 --> 00:34:21,170
+polarization of light Polarization
+
+510
+00:34:21,170 --> 00:34:22,970
+light Polarization of light depends on the plane
+
+511
+00:34:22,970 --> 00:34:28,390
+of polarization of light Polarization
+
+512
+00:34:28,390 --> 00:34:33,810
+of light depends on the plane of polarization of
+
+513
+00:34:33,810 --> 00:34:37,630
+lightبعتمد على زاوية سقوط الضوء وعلى ال plane of
+
+514
+00:34:37,630 --> 00:34:43,810
+polarization على ال plane of polarization The
+
+515
+00:34:43,810 --> 00:34:48,590
+reflectivity at normal incidence is simple and
+
+516
+00:34:48,590 --> 00:34:51,730
+depends on the optical media bounding the
+
+517
+00:34:51,730 --> 00:34:55,910
+interface طيب، الآن في حالة خاصة بنقول لو الضوء
+
+518
+00:34:55,910 --> 00:35:00,010
+سقط عمودي شايفين
+
+519
+00:35:00,010 --> 00:35:04,420
+إيش يعني سقط عمودي؟ يعني زاوية السقوط صفروزاوية
+
+520
+00:35:04,420 --> 00:35:08,440
+الانعكاس صفر ممكن يقول انا مش شايفه بينعكس لأ هو
+
+521
+00:35:08,440 --> 00:35:12,920
+بينعكس على طول الخط بينعكس على طول الخط زاوية
+
+522
+00:35:12,920 --> 00:35:17,520
+السقوط صفر معناته زاوية الانعكاس صفر ليش لإن حسب
+
+523
+00:35:17,520 --> 00:35:23,640
+قانون الانعكاس θ I تساوي θ A يعني حزمة ضوئية سقطت
+
+524
+00:35:23,640 --> 00:35:29,880
+عموديا normal incidenceعلى سطح فاصل بين المادة سين
+
+525
+00:35:29,880 --> 00:35:34,200
+والمادة صاد، تمام؟ هذا السطح الفاصل بين المادة سين
+
+526
+00:35:34,200 --> 00:35:37,680
+والمادة صاد، الضوء صفت عليه عمودي، هيحصل معاه
+
+527
+00:35:37,680 --> 00:35:40,600
+التلت شغلات اللي حكينا عنهم، جزء هيتحول لحرارة،
+
+528
+00:35:40,600 --> 00:35:44,720
+هذا مش موضوعنا، جزء هيمر أيضا مش موضوعنا، لإن احنا
+
+529
+00:35:44,720 --> 00:35:47,600
+موضوعنا الجزء التالت، اللي هو الجزء اللي هينعكس
+
+530
+00:35:48,220 --> 00:35:52,260
+الجزء اللى هينعكس، هينعكس على طول الخط، سقط عموديا
+
+531
+00:35:52,260 --> 00:35:56,460
+على السطح الفاصل، بنعكس عموديا، بس السؤال جداش
+
+532
+00:35:56,460 --> 00:36:01,600
+كميته، جداش كميته، اذا the reflectivity at normal
+
+533
+00:36:01,600 --> 00:36:06,220
+incidence is simpleand depends only on the optical
+
+534
+00:36:06,220 --> 00:36:10,760
+media bounding the interface Reflectivity in the
+
+535
+00:36:10,760 --> 00:36:14,000
+case of vertical fall, the reflection occurs in
+
+536
+00:36:14,000 --> 00:36:17,320
+the case of a simple vertical fall, and depends on
+
+537
+00:36:17,320 --> 00:36:19,660
+the nature of the two substances, the synapses
+
+538
+00:36:19,660 --> 00:36:24,400
+that surround the optical interface. The
+
+539
+00:36:24,400 --> 00:36:29,640
+reflection coefficient in the case of vertical
+
+540
+00:36:29,640 --> 00:36:34,720
+fall,In the case of vertical fall, the factor of
+
+541
+00:36:34,720 --> 00:36:38,000
+inversion provides me with the following equation
+
+542
+00:36:38,000 --> 00:36:43,300
+N2 minus Ni N2 which is the factor of contraction
+
+543
+00:36:43,300 --> 00:36:45,440
+of the second material to which the light is going
+
+544
+00:36:45,440 --> 00:36:54,380
+to N2 minus Ni over N2 plus Ni squared So let's
+
+545
+00:36:54,380 --> 00:37:01,020
+see the drawing hereNi, N for incident medium, the
+
+546
+00:37:01,020 --> 00:37:03,580
+substance from which light comes. So what is N? We
+
+547
+00:37:03,580 --> 00:37:07,420
+said that N is the factor of contraction, the
+
+548
+00:37:07,420 --> 00:37:09,900
+factor of contraction. So here, for example, I
+
+549
+00:37:09,900 --> 00:37:12,780
+have a substance whose density is between water
+
+550
+00:37:12,780 --> 00:37:18,600
+and glass, that is, its refractive index is 1.393
+
+551
+00:37:18,600 --> 00:37:23,800
+And the light will go from it and fall from it
+
+552
+00:37:23,800 --> 00:37:26,180
+towards the water, for example
+
+553
+00:37:30,840 --> 00:37:34,620
+It's different, there's a difference in the
+
+554
+00:37:34,620 --> 00:37:38,180
+coefficient of the substance C and the substance
+
+555
+00:37:38,180 --> 00:37:43,900
+number 2, we want to call it number 2 So, n2 minus
+
+556
+00:37:43,900 --> 00:37:48,260
+ni divided by n2 plus ni, the square root of each,
+
+557
+00:37:48,720 --> 00:37:52,860
+this gives me a equation, this equation gives me
+
+558
+00:37:52,860 --> 00:37:56,320
+the coefficient or reflection coefficient
+
+559
+00:37:59,880 --> 00:38:06,500
+in the case of vertical fall. Okay, the reflection
+
+560
+00:38:06,500 --> 00:38:11,880
+coefficient is used to calculate the amount of
+
+561
+00:38:11,880 --> 00:38:15,560
+light transmitted at an optical interface if
+
+562
+00:38:15,560 --> 00:38:19,380
+absorption losses are minimal. This reflection
+
+563
+00:38:19,380 --> 00:38:23,720
+coefficient is used in the case of vertical fall.
+
+564
+00:38:23,900 --> 00:38:30,620
+When I find it, I can calculateI can calculate how
+
+565
+00:38:30,620 --> 00:38:33,720
+much of the rays that passed from everything that
+
+566
+00:38:33,720 --> 00:38:37,040
+fell, how much of the rays that passed, because I
+
+567
+00:38:37,040 --> 00:38:39,940
+know how much reflected, provided that the amount
+
+568
+00:38:39,940 --> 00:38:43,040
+that turned into heat is a small amount that can
+
+569
+00:38:43,040 --> 00:38:46,060
+be neglected, so if I know how much reflected, for
+
+570
+00:38:46,060 --> 00:38:49,980
+example, 2% reflected, it means that 98% passed.
+
+571
+00:38:50,060 --> 00:38:52,120
+Well, what about what fell? What fell is very
+
+572
+00:38:52,120 --> 00:38:57,160
+little to the extent that we can neglect it
+
+573
+00:38:57,300 --> 00:39:01,320
+وبالتالي بواسطة reflection coefficient بقدر أعرف ل
+
+574
+00:39:01,320 --> 00:39:05,800
+transmitted light على ال optical interface اتجاه
+
+575
+00:39:05,800 --> 00:39:09,220
+المادة التانية if absorption losses are minimal
+
+576
+00:39:09,220 --> 00:39:16,000
+هنصل لقانون الانكسار وإلى الانكسار المنظم ويعطيكم
+
+577
+00:39:16,000 --> 00:39:19,440
+العافية والسلام عليكم ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/oRfOWc0gy_Y_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/oRfOWc0gy_Y_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..fb9ecc46f4d6b8ec75fcf41104c44235369c613e
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/oRfOWc0gy_Y_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2882, "start": 5.62, "end": 28.82, "text": "بسم الله الرحمن الرحيم، عندنا object على بعد 25 cm للشمال من عدسة، اتكونت صورة في مكان ما من الفرار، transfers magnification لها د الصورة X minus 4 المطلوب where is the image او بدنا نجيب ال image distance", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 12399, 43242, 8315, 2657, 15844, 39182, 3552, 14668, 24976, 8592, 2304, 6027, 9154, 6225, 3215, 3794, 3660, 12399, 1975, 2655, 30544, 2655, 20328, 13063, 3660, 8978, 3714, 41361, 19446, 9154, 27188, 2288, 9640, 12399, 29137, 4944, 3774, 5296, 11296, 11778, 31767, 13063, 3660, 1783, 3175, 1017, 9673, 9566, 1211, 37746, 689, 307, 264, 3256, 1975, 2407, 47525, 8315, 8717, 7435, 1829, 3555, 2423, 3256, 4560], "avg_logprob": -0.23979166984558106, "compression_ratio": 1.4386792452830188, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 5.62, "end": 5.92, "word": "بسم", "probability": 0.6680908203125}, {"start": 5.92, "end": 6.08, "word": " الله", "probability": 0.93310546875}, {"start": 6.08, "end": 6.36, "word": " الرحمن", "probability": 0.8942057291666666}, {"start": 6.36, "end": 8.66, "word": " الرحيم،", "probability": 0.7867431640625}, {"start": 8.66, "end": 9.18, "word": " عندنا", "probability": 0.6907958984375}, {"start": 9.18, "end": 9.58, "word": " object", "probability": 0.953125}, {"start": 9.58, "end": 9.78, "word": " على", "probability": 0.53125}, {"start": 9.78, "end": 10.14, "word": " بعد", "probability": 0.1322021484375}, {"start": 10.14, "end": 10.94, "word": " 25", "probability": 0.88916015625}, {"start": 10.94, "end": 11.64, "word": " cm", "probability": 0.61328125}, {"start": 11.64, "end": 13.36, "word": " للشمال", "probability": 0.880615234375}, {"start": 13.36, "end": 13.52, "word": " من", "probability": 0.9912109375}, {"start": 13.52, "end": 15.04, "word": " عدسة،", "probability": 0.8703125}, {"start": 15.04, "end": 15.96, "word": " اتكونت", "probability": 0.7689208984375}, {"start": 15.96, "end": 16.3, "word": " صورة", "probability": 0.984375}, {"start": 16.3, "end": 16.48, "word": " في", "probability": 0.9453125}, {"start": 16.48, "end": 16.84, "word": " مكان", "probability": 0.989013671875}, {"start": 16.84, "end": 17.04, "word": " ما", "probability": 0.94140625}, {"start": 17.04, "end": 17.2, "word": " من", "probability": 0.99267578125}, {"start": 17.2, "end": 18.66, "word": " الفرار،", "probability": 0.94580078125}, {"start": 18.66, "end": 19.2, "word": " transfers", "probability": 0.64599609375}, {"start": 19.2, "end": 20.04, "word": " magnification", "probability": 0.9609375}, {"start": 20.04, "end": 20.32, "word": " لها", "probability": 0.741943359375}, {"start": 20.32, "end": 20.44, "word": " د", "probability": 0.75830078125}, {"start": 20.44, "end": 21.12, "word": " الصورة", "probability": 0.7596028645833334}, {"start": 21.12, "end": 21.86, "word": " X", "probability": 0.68408203125}, {"start": 21.86, "end": 22.28, "word": " minus", "probability": 0.3837890625}, {"start": 22.28, "end": 22.74, "word": " 4", "probability": 0.91748046875}, {"start": 22.74, "end": 24.14, "word": " المطلوب", "probability": 0.85443115234375}, {"start": 24.14, "end": 24.94, "word": " where", "probability": 0.5927734375}, {"start": 24.94, "end": 25.38, "word": " is", "probability": 0.958984375}, {"start": 25.38, "end": 26.18, "word": " the", "probability": 0.8720703125}, {"start": 26.18, "end": 26.54, "word": " image", "probability": 0.93603515625}, {"start": 26.54, "end": 26.98, "word": " او", "probability": 0.6156005859375}, {"start": 26.98, "end": 27.44, "word": " بدنا", "probability": 0.79248046875}, {"start": 27.44, "end": 27.74, "word": " نجيب", "probability": 0.989501953125}, {"start": 27.74, "end": 27.88, "word": " ال", "probability": 0.935546875}, {"start": 27.88, "end": 28.16, "word": " image", "probability": 0.591796875}, {"start": 28.16, "end": 28.82, "word": " distance", "probability": 0.9462890625}], "temperature": 1.0}, {"id": 2, "seek": 5815, "start": 29.33, "end": 58.15, "text": " As long as the image distance is unknown, I cannot draw it on the right of the lens or on the left until I get the result The simple solution is to say that the transference magnification is equal to the image distance which is unknown over the object distance I want the image distance Image distance is equal to the transference magnification times the object distance", "tokens": [1018, 938, 382, 264, 3256, 4560, 307, 9841, 11, 286, 2644, 2642, 309, 322, 264, 558, 295, 264, 6765, 420, 322, 264, 1411, 1826, 286, 483, 264, 1874, 440, 2199, 3827, 307, 281, 584, 300, 264, 5003, 655, 4944, 3774, 307, 2681, 281, 264, 3256, 4560, 597, 307, 9841, 670, 264, 2657, 4560, 286, 528, 264, 3256, 4560, 29903, 4560, 307, 2681, 281, 264, 5003, 655, 4944, 3774, 1413, 264, 2657, 4560], "avg_logprob": -0.320847606005734, "compression_ratio": 2.0497237569060776, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 29.33, "end": 29.69, "word": " As", "probability": 0.394287109375}, {"start": 29.69, "end": 29.85, "word": " long", "probability": 0.7490234375}, {"start": 29.85, "end": 29.85, "word": " as", "probability": 0.96923828125}, {"start": 29.85, "end": 29.99, "word": " the", "probability": 0.84765625}, {"start": 29.99, "end": 30.31, "word": " image", "probability": 0.822265625}, {"start": 30.31, "end": 30.85, "word": " distance", "probability": 0.9345703125}, {"start": 30.85, "end": 31.07, "word": " is", "probability": 0.74609375}, {"start": 31.07, "end": 31.33, "word": " unknown,", "probability": 0.92822265625}, {"start": 31.53, "end": 31.65, "word": " I", "probability": 0.96728515625}, {"start": 31.65, "end": 32.01, "word": " cannot", "probability": 0.42333984375}, {"start": 32.01, "end": 32.49, "word": " draw", "probability": 0.81005859375}, {"start": 32.49, "end": 32.67, "word": " it", "probability": 0.85205078125}, {"start": 32.67, "end": 32.83, "word": " on", "probability": 0.76513671875}, {"start": 32.83, "end": 32.95, "word": " the", "probability": 0.89990234375}, {"start": 32.95, "end": 33.13, "word": " right", "probability": 0.71484375}, {"start": 33.13, "end": 33.23, "word": " of", "probability": 0.272216796875}, {"start": 33.23, "end": 33.31, "word": " the", "probability": 0.8984375}, {"start": 33.31, "end": 33.65, "word": " lens", "probability": 0.7744140625}, {"start": 33.65, "end": 34.35, "word": " or", "probability": 0.5146484375}, {"start": 34.35, "end": 34.53, "word": " on", "probability": 0.86083984375}, {"start": 34.53, "end": 34.89, "word": " the", "probability": 0.7646484375}, {"start": 34.89, "end": 34.89, "word": " left", "probability": 0.94970703125}, {"start": 34.89, "end": 35.17, "word": " until", "probability": 0.3818359375}, {"start": 35.17, "end": 35.43, "word": " I", "probability": 0.4697265625}, {"start": 35.43, "end": 35.79, "word": " get", "probability": 0.7314453125}, {"start": 35.79, "end": 38.75, "word": " the", "probability": 0.86572265625}, {"start": 38.75, "end": 38.99, "word": " result", "probability": 0.76953125}, {"start": 38.99, "end": 39.15, "word": " The", "probability": 0.1405029296875}, {"start": 39.15, "end": 39.59, "word": " simple", "probability": 0.7177734375}, {"start": 39.59, "end": 39.65, "word": " solution", "probability": 0.9091796875}, {"start": 39.65, "end": 40.45, "word": " is", "probability": 0.728515625}, {"start": 40.45, "end": 40.53, "word": " to", "probability": 0.658203125}, {"start": 40.53, "end": 40.83, "word": " say", "probability": 0.91259765625}, {"start": 40.83, "end": 41.51, "word": " that", "probability": 0.5595703125}, {"start": 41.51, "end": 41.57, "word": " the", "probability": 0.6865234375}, {"start": 41.57, "end": 42.31, "word": " transference", "probability": 0.4854736328125}, {"start": 42.31, "end": 43.23, "word": " magnification", "probability": 0.875732421875}, {"start": 43.23, "end": 43.99, "word": " is", "probability": 0.450927734375}, {"start": 43.99, "end": 44.37, "word": " equal", "probability": 0.8837890625}, {"start": 44.37, "end": 45.13, "word": " to", "probability": 0.97119140625}, {"start": 45.13, "end": 45.31, "word": " the", "probability": 0.7880859375}, {"start": 45.31, "end": 45.51, "word": " image", "probability": 0.51708984375}, {"start": 45.51, "end": 46.23, "word": " distance", "probability": 0.94189453125}, {"start": 46.23, "end": 47.15, "word": " which", "probability": 0.449462890625}, {"start": 47.15, "end": 47.29, "word": " is", "probability": 0.94091796875}, {"start": 47.29, "end": 47.77, "word": " unknown", "probability": 0.74951171875}, {"start": 47.77, "end": 48.11, "word": " over", "probability": 0.497314453125}, {"start": 48.11, "end": 48.27, "word": " the", "probability": 0.85888671875}, {"start": 48.27, "end": 48.61, "word": " object", "probability": 0.95654296875}, {"start": 48.61, "end": 49.29, "word": " distance", "probability": 0.91845703125}, {"start": 49.29, "end": 50.47, "word": " I", "probability": 0.8046875}, {"start": 50.47, "end": 50.71, "word": " want", "probability": 0.78759765625}, {"start": 50.71, "end": 50.85, "word": " the", "probability": 0.72802734375}, {"start": 50.85, "end": 51.09, "word": " image", "probability": 0.92138671875}, {"start": 51.09, "end": 51.61, "word": " distance", "probability": 0.9326171875}, {"start": 51.61, "end": 51.99, "word": " Image", "probability": 0.3662109375}, {"start": 51.99, "end": 52.75, "word": " distance", "probability": 0.90673828125}, {"start": 52.75, "end": 53.81, "word": " is", "probability": 0.53125}, {"start": 53.81, "end": 54.23, "word": " equal", "probability": 0.88671875}, {"start": 54.23, "end": 54.75, "word": " to", "probability": 0.97509765625}, {"start": 54.75, "end": 54.87, "word": " the", "probability": 0.6875}, {"start": 54.87, "end": 55.55, "word": " transference", "probability": 0.96826171875}, {"start": 55.55, "end": 56.39, "word": " magnification", "probability": 0.96875}, {"start": 56.39, "end": 56.85, "word": " times", "probability": 0.54541015625}, {"start": 56.85, "end": 57.09, "word": " the", "probability": 0.71826171875}, {"start": 57.09, "end": 57.41, "word": " object", "probability": 0.9599609375}, {"start": 57.41, "end": 58.15, "word": " distance", "probability": 0.9306640625}], "temperature": 1.0}, {"id": 3, "seek": 8278, "start": 59.98, "end": 82.78, "text": "transfer magnification is minus four times the object distance, the object distance on the left will give a minus sign, twenty-five centimeters will turn it into a meter, so a quarter of a meter, minus minus plus, four times a quarter is one correct", "tokens": [24999, 612, 4944, 3774, 307, 3175, 1451, 1413, 264, 2657, 4560, 11, 264, 2657, 4560, 322, 264, 1411, 486, 976, 257, 3175, 1465, 11, 7699, 12, 18621, 23300, 486, 1261, 309, 666, 257, 9255, 11, 370, 257, 6555, 295, 257, 9255, 11, 3175, 3175, 1804, 11, 1451, 1413, 257, 6555, 307, 472, 3006], "avg_logprob": -0.6435185317639951, "compression_ratio": 1.7412587412587412, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 59.98, "end": 60.58, "word": "transfer", "probability": 0.357421875}, {"start": 60.58, "end": 61.18, "word": " magnification", "probability": 0.798828125}, {"start": 61.18, "end": 61.34, "word": " is", "probability": 0.169921875}, {"start": 61.34, "end": 61.6, "word": " minus", "probability": 0.223876953125}, {"start": 61.6, "end": 62.04, "word": " four", "probability": 0.35498046875}, {"start": 62.04, "end": 62.26, "word": " times", "probability": 0.2156982421875}, {"start": 62.26, "end": 64.78, "word": " the", "probability": 0.1961669921875}, {"start": 64.78, "end": 65.12, "word": " object", "probability": 0.63134765625}, {"start": 65.12, "end": 65.86, "word": " distance,", "probability": 0.90673828125}, {"start": 66.3, "end": 66.46, "word": " the", "probability": 0.30517578125}, {"start": 66.46, "end": 66.78, "word": " object", "probability": 0.7451171875}, {"start": 66.78, "end": 67.24, "word": " distance", "probability": 0.92333984375}, {"start": 67.24, "end": 67.46, "word": " on", "probability": 0.60595703125}, {"start": 67.46, "end": 67.62, "word": " the", "probability": 0.89892578125}, {"start": 67.62, "end": 67.82, "word": " left", "probability": 0.947265625}, {"start": 67.82, "end": 68.14, "word": " will", "probability": 0.114501953125}, {"start": 68.14, "end": 68.46, "word": " give", "probability": 0.6806640625}, {"start": 68.46, "end": 68.7, "word": " a", "probability": 0.212158203125}, {"start": 68.7, "end": 69.38, "word": " minus", "probability": 0.84375}, {"start": 69.38, "end": 69.58, "word": " sign,", "probability": 0.82080078125}, {"start": 70.12, "end": 70.68, "word": " twenty", "probability": 0.311767578125}, {"start": 70.68, "end": 70.86, "word": "-five", "probability": 0.7978515625}, {"start": 70.86, "end": 71.24, "word": " centimeters", "probability": 0.80029296875}, {"start": 71.24, "end": 71.48, "word": " will", "probability": 0.344482421875}, {"start": 71.48, "end": 71.74, "word": " turn", "probability": 0.334228515625}, {"start": 71.74, "end": 71.86, "word": " it", "probability": 0.66064453125}, {"start": 71.86, "end": 71.94, "word": " into", "probability": 0.7744140625}, {"start": 71.94, "end": 72.04, "word": " a", "probability": 0.5654296875}, {"start": 72.04, "end": 72.32, "word": " meter,", "probability": 0.892578125}, {"start": 72.6, "end": 72.76, "word": " so", "probability": 0.38671875}, {"start": 72.76, "end": 74.92, "word": " a", "probability": 0.4296875}, {"start": 74.92, "end": 75.06, "word": " quarter", "probability": 0.8798828125}, {"start": 75.06, "end": 75.06, "word": " of", "probability": 0.703125}, {"start": 75.06, "end": 75.26, "word": " a", "probability": 0.95458984375}, {"start": 75.26, "end": 75.52, "word": " meter,", "probability": 0.9140625}, {"start": 76.24, "end": 77.0, "word": " minus", "probability": 0.92431640625}, {"start": 77.0, "end": 77.3, "word": " minus", "probability": 0.48876953125}, {"start": 77.3, "end": 78.22, "word": " plus,", "probability": 0.7744140625}, {"start": 80.62, "end": 81.12, "word": " four", "probability": 0.84130859375}, {"start": 81.12, "end": 81.48, "word": " times", "probability": 0.4716796875}, {"start": 81.48, "end": 81.6, "word": " a", "probability": 0.6806640625}, {"start": 81.6, "end": 81.88, "word": " quarter", "probability": 0.845703125}, {"start": 81.88, "end": 82.26, "word": " is", "probability": 0.400146484375}, {"start": 82.26, "end": 82.42, "word": " one", "probability": 0.521484375}, {"start": 82.42, "end": 82.78, "word": " correct", "probability": 0.38818359375}], "temperature": 1.0}, {"id": 4, "seek": 8824, "start": 86.52, "end": 88.24, "text": " plus one meter.", "tokens": [1804, 472, 9255, 13], "avg_logprob": -1.1703125, "compression_ratio": 0.6666666666666666, "no_speech_prob": 3.1113624572753906e-05, "words": [{"start": 86.52, "end": 87.38, "word": " plus", "probability": 0.05743408203125}, {"start": 87.38, "end": 87.86, "word": " one", "probability": 0.459716796875}, {"start": 87.86, "end": 88.24, "word": " meter.", "probability": 0.80224609375}], "temperature": 1.0}, {"id": 5, "seek": 11499, "start": 90.63, "end": 114.99, "text": " on the right of the lens by 1 meter on the right of the lens by 1 meter ok, what if I draw the image up and what if I draw it down? I go back to the transphase magnification as long as there is a minus sign in it, then the image is inverted with respect to the object the object is up, so what is it? down I drew four times the height of the object one meter away from", "tokens": [322, 264, 558, 295, 264, 6765, 538, 502, 9255, 322, 264, 558, 295, 264, 6765, 538, 502, 9255, 3133, 11, 437, 498, 286, 2642, 264, 3256, 493, 293, 437, 498, 286, 2642, 309, 760, 30, 286, 352, 646, 281, 264, 1145, 43331, 4944, 3774, 382, 938, 382, 456, 307, 257, 3175, 1465, 294, 309, 11, 550, 264, 3256, 307, 38969, 365, 3104, 281, 264, 2657, 264, 2657, 307, 493, 11, 370, 437, 307, 309, 30, 760, 286, 12804, 1451, 1413, 264, 6681, 295, 264, 2657, 472, 9255, 1314, 490], "avg_logprob": -0.4496527810891469, "compression_ratio": 1.8730964467005076, "no_speech_prob": 5.0067901611328125e-06, "words": [{"start": 90.63, "end": 91.01, "word": " on", "probability": 0.1390380859375}, {"start": 91.01, "end": 91.17, "word": " the", "probability": 0.830078125}, {"start": 91.17, "end": 91.43, "word": " right", "probability": 0.81103515625}, {"start": 91.43, "end": 91.71, "word": " of", "probability": 0.5146484375}, {"start": 91.71, "end": 91.75, "word": " the", "probability": 0.83740234375}, {"start": 91.75, "end": 92.09, "word": " lens", "probability": 0.560546875}, {"start": 92.09, "end": 92.33, "word": " by", "probability": 0.1939697265625}, {"start": 92.33, "end": 93.19, "word": " 1", "probability": 0.697265625}, {"start": 93.19, "end": 93.81, "word": " meter", "probability": 0.740234375}, {"start": 93.81, "end": 94.25, "word": " on", "probability": 0.1763916015625}, {"start": 94.25, "end": 94.41, "word": " the", "probability": 0.8837890625}, {"start": 94.41, "end": 94.53, "word": " right", "probability": 0.84033203125}, {"start": 94.53, "end": 94.69, "word": " of", "probability": 0.9443359375}, {"start": 94.69, "end": 94.81, "word": " the", "probability": 0.9208984375}, {"start": 94.81, "end": 95.05, "word": " lens", "probability": 0.9345703125}, {"start": 95.05, "end": 95.27, "word": " by", "probability": 0.8798828125}, {"start": 95.27, "end": 95.85, "word": " 1", "probability": 0.91943359375}, {"start": 95.85, "end": 96.31, "word": " meter", "probability": 0.9248046875}, {"start": 96.31, "end": 96.87, "word": " ok,", "probability": 0.0980224609375}, {"start": 96.97, "end": 97.09, "word": " what", "probability": 0.138671875}, {"start": 97.09, "end": 97.23, "word": " if", "probability": 0.78857421875}, {"start": 97.23, "end": 97.37, "word": " I", "probability": 0.81103515625}, {"start": 97.37, "end": 97.61, "word": " draw", "probability": 0.7958984375}, {"start": 97.61, "end": 97.79, "word": " the", "probability": 0.71484375}, {"start": 97.79, "end": 97.97, "word": " image", "probability": 0.49072265625}, {"start": 97.97, "end": 98.25, "word": " up", "probability": 0.390625}, {"start": 98.25, "end": 98.59, "word": " and", "probability": 0.65673828125}, {"start": 98.59, "end": 98.71, "word": " what", "probability": 0.33984375}, {"start": 98.71, "end": 98.75, "word": " if", "probability": 0.9228515625}, {"start": 98.75, "end": 98.83, "word": " I", "probability": 0.96826171875}, {"start": 98.83, "end": 98.97, "word": " draw", "probability": 0.8759765625}, {"start": 98.97, "end": 99.15, "word": " it", "probability": 0.86865234375}, {"start": 99.15, "end": 99.53, "word": " down?", "probability": 0.80517578125}, {"start": 99.83, "end": 100.19, "word": " I", "probability": 0.8896484375}, {"start": 100.19, "end": 100.19, "word": " go", "probability": 0.449462890625}, {"start": 100.19, "end": 100.39, "word": " back", "probability": 0.8779296875}, {"start": 100.39, "end": 100.57, "word": " to", "probability": 0.9599609375}, {"start": 100.57, "end": 100.63, "word": " the", "probability": 0.64697265625}, {"start": 100.63, "end": 101.17, "word": " transphase", "probability": 0.555419921875}, {"start": 101.17, "end": 102.05, "word": " magnification", "probability": 0.966796875}, {"start": 102.05, "end": 102.69, "word": " as", "probability": 0.69384765625}, {"start": 102.69, "end": 102.77, "word": " long", "probability": 0.90283203125}, {"start": 102.77, "end": 102.95, "word": " as", "probability": 0.96337890625}, {"start": 102.95, "end": 103.11, "word": " there", "probability": 0.857421875}, {"start": 103.11, "end": 103.17, "word": " is", "probability": 0.90234375}, {"start": 103.17, "end": 103.67, "word": " a", "probability": 0.80810546875}, {"start": 103.67, "end": 103.89, "word": " minus", "probability": 0.6357421875}, {"start": 103.89, "end": 103.99, "word": " sign", "probability": 0.76171875}, {"start": 103.99, "end": 104.19, "word": " in", "probability": 0.360107421875}, {"start": 104.19, "end": 104.27, "word": " it,", "probability": 0.8896484375}, {"start": 104.43, "end": 104.53, "word": " then", "probability": 0.67724609375}, {"start": 104.53, "end": 104.71, "word": " the", "probability": 0.88525390625}, {"start": 104.71, "end": 104.95, "word": " image", "probability": 0.76904296875}, {"start": 104.95, "end": 105.13, "word": " is", "probability": 0.84912109375}, {"start": 105.13, "end": 105.47, "word": " inverted", "probability": 0.315673828125}, {"start": 105.47, "end": 105.67, "word": " with", "probability": 0.172119140625}, {"start": 105.67, "end": 105.99, "word": " respect", "probability": 0.841796875}, {"start": 105.99, "end": 106.11, "word": " to", "probability": 0.9736328125}, {"start": 106.11, "end": 106.25, "word": " the", "probability": 0.9111328125}, {"start": 106.25, "end": 106.53, "word": " object", "probability": 0.96337890625}, {"start": 106.53, "end": 106.75, "word": " the", "probability": 0.36376953125}, {"start": 106.75, "end": 107.09, "word": " object", "probability": 0.958984375}, {"start": 107.09, "end": 107.29, "word": " is", "probability": 0.45068359375}, {"start": 107.29, "end": 107.47, "word": " up,", "probability": 0.62255859375}, {"start": 107.73, "end": 107.93, "word": " so", "probability": 0.55126953125}, {"start": 107.93, "end": 108.17, "word": " what", "probability": 0.67578125}, {"start": 108.17, "end": 108.17, "word": " is", "probability": 0.8134765625}, {"start": 108.17, "end": 108.31, "word": " it?", "probability": 0.87158203125}, {"start": 108.95, "end": 109.39, "word": " down", "probability": 0.42529296875}, {"start": 109.39, "end": 110.03, "word": " I", "probability": 0.294677734375}, {"start": 110.03, "end": 110.49, "word": " drew", "probability": 0.841796875}, {"start": 110.49, "end": 110.93, "word": " four", "probability": 0.289794921875}, {"start": 110.93, "end": 111.49, "word": " times", "probability": 0.81640625}, {"start": 111.49, "end": 111.77, "word": " the", "probability": 0.73388671875}, {"start": 111.77, "end": 112.19, "word": " height", "probability": 0.8740234375}, {"start": 112.19, "end": 112.69, "word": " of", "probability": 0.95849609375}, {"start": 112.69, "end": 112.77, "word": " the", "probability": 0.90576171875}, {"start": 112.77, "end": 113.17, "word": " object", "probability": 0.966796875}, {"start": 113.17, "end": 113.91, "word": " one", "probability": 0.35107421875}, {"start": 113.91, "end": 114.55, "word": " meter", "probability": 0.93701171875}, {"start": 114.55, "end": 114.55, "word": " away", "probability": 0.8408203125}, {"start": 114.55, "end": 114.99, "word": " from", "probability": 0.890625}], "temperature": 1.0}, {"id": 6, "seek": 12885, "start": 115.59, "end": 128.85, "text": "العدسة وهيك بتكون حالة المسألة is an image distance plus 1 meter الصورة تبعد عن يمين العدسة المقدار 1 meter ويعطيكم العافية والسلام عليكم ورحمة الله وبركة", "tokens": [6027, 3615, 3215, 3794, 3660, 37037, 1829, 4117, 39894, 30544, 11331, 6027, 3660, 9673, 3794, 10721, 37977, 307, 364, 3256, 4560, 1804, 502, 9255, 31767, 13063, 3660, 6055, 3555, 22488, 18871, 7251, 2304, 9957, 18863, 3215, 3794, 3660, 9673, 28543, 9640, 502, 9255, 4032, 40228, 9566, 1829, 24793, 18863, 31845, 10632, 16070, 3794, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 3660], "avg_logprob": -0.16796874503294626, "compression_ratio": 1.509090909090909, "no_speech_prob": 1.0967254638671875e-05, "words": [{"start": 115.59, "end": 116.45, "word": "العدسة", "probability": 0.77294921875}, {"start": 116.45, "end": 116.99, "word": " وهيك", "probability": 0.720703125}, {"start": 116.99, "end": 117.37, "word": " بتكون", "probability": 0.954345703125}, {"start": 117.37, "end": 118.29, "word": " حالة", "probability": 0.680419921875}, {"start": 118.29, "end": 118.81, "word": " المسألة", "probability": 0.919921875}, {"start": 118.81, "end": 119.01, "word": " is", "probability": 0.38720703125}, {"start": 119.01, "end": 119.17, "word": " an", "probability": 0.900390625}, {"start": 119.17, "end": 119.57, "word": " image", "probability": 0.91015625}, {"start": 119.57, "end": 120.15, "word": " distance", "probability": 0.93994140625}, {"start": 120.15, "end": 120.55, "word": " plus", "probability": 0.7578125}, {"start": 120.55, "end": 120.93, "word": " 1", "probability": 0.51611328125}, {"start": 120.93, "end": 121.33, "word": " meter", "probability": 0.7841796875}, {"start": 121.33, "end": 122.13, "word": " الصورة", "probability": 0.9358723958333334}, {"start": 122.13, "end": 122.61, "word": " تبعد", "probability": 0.9327799479166666}, {"start": 122.61, "end": 122.85, "word": " عن", "probability": 0.986328125}, {"start": 122.85, "end": 123.21, "word": " يمين", "probability": 0.9700520833333334}, {"start": 123.21, "end": 123.71, "word": " العدسة", "probability": 0.994384765625}, {"start": 123.71, "end": 124.19, "word": " المقدار", "probability": 0.7869466145833334}, {"start": 124.19, "end": 124.45, "word": " 1", "probability": 0.93310546875}, {"start": 124.45, "end": 124.79, "word": " meter", "probability": 0.53564453125}, {"start": 124.79, "end": 125.29, "word": " ويعطيكم", "probability": 0.87978515625}, {"start": 125.29, "end": 125.73, "word": " العافية", "probability": 0.8849283854166666}, {"start": 125.73, "end": 126.17, "word": " والسلام", "probability": 0.8151041666666666}, {"start": 126.17, "end": 126.79, "word": " عليكم", "probability": 0.945068359375}, {"start": 126.79, "end": 127.29, "word": " ورحمة", "probability": 0.9874267578125}, {"start": 127.29, "end": 127.67, "word": " الله", "probability": 0.974609375}, {"start": 127.67, "end": 128.85, "word": " وبركة", "probability": 0.9111328125}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 129.1494375, "duration_after_vad": 120.52312499999996}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/pX_U4lQsEB0_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/pX_U4lQsEB0_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0d8e8eb91ad0a6bfa4cf5415b6531479e60917d0
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/pX_U4lQsEB0_postprocess.srt
@@ -0,0 +1,1876 @@
+1
+00:00:01,890 --> 00:00:03,130
+In the name of Allah, Most Gracious, Most Merciful
+
+2
+00:00:03,130 --> 00:00:07,430
+We continue the lectures of Geometric Optics and
+
+3
+00:00:07,430 --> 00:00:12,190
+we stopped at the subject of virtual objects To
+
+4
+00:00:12,190 --> 00:00:15,390
+understand the subject of virtual objects, we need
+
+5
+00:00:15,390 --> 00:00:22,040
+to remember some things, that any real objectالضوق
+
+6
+00:00:22,040 --> 00:00:25,880
+منه بيكون divergent، الضوق منه بيكون divergent، هي
+
+7
+00:00:25,880 --> 00:00:29,880
+أن الشمس مثلا عبارة عن real object، جسم حقيقي،
+
+8
+00:00:29,880 --> 00:00:36,400
+الضوق بيكون منه، بيصدر منه divergent، بحيث أن
+
+9
+00:00:36,400 --> 00:00:42,320
+الأشخاص الموجودين في كل مكان، منتشرين، بيصلهم جزء
+
+10
+00:00:42,320 --> 00:00:45,520
+من هذا الضوء وممكن يرواه في نفس الوقتI mean a
+
+11
+00:00:45,520 --> 00:00:49,700
+person for example in Gaza, a person in Rafah, a
+
+12
+00:00:49,700 --> 00:00:54,200
+person in Al Arish, a person in Cairo, etc. All of
+
+13
+00:00:54,200 --> 00:00:57,000
+them get light and they can notice this sun which
+
+14
+00:00:57,000 --> 00:01:01,240
+is a real object in the same moment So the real
+
+15
+00:01:01,240 --> 00:01:03,980
+object, the light comes out of it divergent and
+
+16
+00:01:03,980 --> 00:01:07,540
+this is clear, I mean in a way that is not related
+
+17
+00:01:07,540 --> 00:01:13,710
+to itلو عندي ضوق آخر أو جسم آخر مثلا الشامعة و لها
+
+18
+00:01:13,710 --> 00:01:17,150
+بالشامعة، الأشخاص المحيطين في الشامعة أيضا بيقدروا
+
+19
+00:01:17,150 --> 00:01:20,350
+يشوفوا الشامعة في نفس الوقت السبب، الضوق بيطلع
+
+20
+00:01:20,350 --> 00:01:24,050
+منتشر في جميع الاتجاهات، يعني divergent، ال real
+
+21
+00:01:24,050 --> 00:01:28,310
+object دائما الضوق بيطلع دائما و أبدا، الضوق بيطلع
+
+22
+00:01:28,310 --> 00:01:33,450
+منه divergentA human can object and say that for
+
+23
+00:01:33,450 --> 00:01:37,230
+the sun and for the candle, they are natural
+
+24
+00:01:37,230 --> 00:01:40,110
+sources of light, in another sense that they are
+
+25
+00:01:40,110 --> 00:01:44,510
+luminous objects We can also say that these words
+
+26
+00:01:44,510 --> 00:01:53,150
+apply to illuminated objects, because if they are
+
+27
+00:01:53,150 --> 00:01:55,910
+real objects, they reflect the light that falls on
+
+28
+00:01:55,910 --> 00:02:00,020
+them in all directionsبحيث أنه هذه .. هدولة
+
+29
+00:02:00,020 --> 00:02:05,740
+الأشخاص في نفس اللحظة ممكن اللي يشوفوا طبعا الشخص
+
+30
+00:02:05,740 --> 00:02:08,280
+اللي في الوسط رغم أنه مش luminous يعني مش مضيق
+
+31
+00:02:08,280 --> 00:02:12,740
+بذاته وإنما illuminated بس لأنه جسم حقيقي بيعكس ال
+
+32
+00:02:12,740 --> 00:02:17,910
+.. الضوء في جميع الاتجاهاتلو فرضنا جدلا انه هذا
+
+33
+00:02:17,910 --> 00:02:22,610
+الشخص اللي واقف في المنتصف الضوء اللي سقط عليه كله
+
+34
+00:02:22,610 --> 00:02:25,830
+عكسه باتجاه هذا الشخص اذا هذا الشخص هيستطيع رؤيته
+
+35
+00:02:25,830 --> 00:02:32,950
+بجيه الأشخاص مش هيستطيعوا رؤيته في نفس الوقت فهذا
+
+36
+00:02:32,950 --> 00:02:36,770
+الكلام طبعا مابيصيرش انه اي جسم حقيقي الضوء بيصدر
+
+37
+00:02:36,770 --> 00:02:41,190
+منه اذا كان ذاتي الإضاءة او بينعكس منه اذا كان مش
+
+38
+00:02:41,190 --> 00:02:47,110
+ذاتي الإضاءة في جميع الاتجاهات اذا وصلنا لنقطةOr a
+
+39
+00:02:47,110 --> 00:02:50,930
+sentence or a rule is that the real object is
+
+40
+00:02:50,930 --> 00:02:54,850
+always divergent from it, is always divergent from
+
+41
+00:02:54,850 --> 00:02:58,770
+it Now we want to go to the issue of the virtual
+
+42
+00:02:58,770 --> 00:03:01,350
+object, we say we will present to the virtual
+
+43
+00:03:01,350 --> 00:03:05,630
+objectFor example, for example, we say as follows,
+
+44
+00:03:05,630 --> 00:03:09,550
+I have an object 50 cm away from a lens, its force
+
+45
+00:03:09,550 --> 00:03:13,750
+is plus 3 diopters, we want to know where the
+
+46
+00:03:13,750 --> 00:03:15,930
+image will be formed, where the image will be
+
+47
+00:03:15,930 --> 00:03:19,250
+formed, we want to solve the problem by means of
+
+48
+00:03:19,250 --> 00:03:23,050
+convergence calculations, we say U is equal to
+
+49
+00:03:23,700 --> 00:03:26,960
+Negative N over O Why negative? Because the light
+
+50
+00:03:26,960 --> 00:03:29,720
+is divergent Why divergent? Because this is a real
+
+51
+00:03:29,720 --> 00:03:33,080
+body standing in front of a lens Standing in front
+
+52
+00:03:33,080 --> 00:03:36,160
+of a lens Of course it is equal to negative one
+
+53
+00:03:36,160 --> 00:03:39,560
+over half a meter which is fifty centimeters, half
+
+54
+00:03:39,560 --> 00:03:44,980
+a meter And it is equal to negative two diopters
+
+55
+00:03:44,980 --> 00:03:46,860
+So the light will reach the surface of the lens
+
+56
+00:03:46,860 --> 00:03:51,460
+with a magnitude of negative two diopters
+
+57
+00:03:56,570 --> 00:03:59,650
+It means that the amplitude of the light is minus
+
+58
+00:03:59,650 --> 00:04:03,450
+2 which means it is divergent by 2 diopter or it
+
+59
+00:04:03,450 --> 00:04:06,410
+will come out like this we want to see how much is
+
+60
+00:04:06,410 --> 00:04:13,670
+V we say as follows U plus P is
+
+61
+00:04:13,670 --> 00:04:17,510
+equal to V U
+
+62
+00:04:17,510 --> 00:04:23,030
+which is minus 2 diopter and power plus 3 diopter
+
+63
+00:04:23,960 --> 00:04:30,700
+يساوي V، إذا V تساوي plus واحد ديوبتر، إيش يعني
+
+64
+00:04:30,700 --> 00:04:35,000
+plus واحد ديوبتر، يعني الضوء هيخرج متجمع بمقدار
+
+65
+00:04:35,000 --> 00:04:39,260
+واحد ديوبتر، بمقدار واحد ديوبتر بعد ما يغادر، يعني
+
+66
+00:04:39,260 --> 00:04:43,360
+انجلبت حالة الضوء من متشتت بمقدار اتنين لمتجمع
+
+67
+00:04:43,360 --> 00:04:48,960
+بمقدار واحد، طالما ضوء متجمع بمقدار واحد ديوبترSo
+
+68
+00:04:48,960 --> 00:04:53,720
+it will gather and form a real picture on a
+
+69
+00:04:53,720 --> 00:04:55,360
+distance of what? Where is the distance of this
+
+70
+00:04:55,360 --> 00:04:59,520
+picture? We say that V is equal to infinity over I
+
+71
+00:04:59,520 --> 00:05:03,400
+over
+
+72
+00:05:03,400 --> 00:05:11,260
+I So I is equal to infinity over V and
+
+73
+00:05:11,260 --> 00:05:16,340
+is equal to one overone condition because it's in
+
+74
+00:05:16,340 --> 00:05:21,400
+the air on plus one diopter and it equals plus one
+
+75
+00:05:21,400 --> 00:05:23,640
+and the diopter which is one meter minus one in
+
+76
+00:05:23,640 --> 00:05:25,800
+the position when it comes out it becomes one
+
+77
+00:05:25,800 --> 00:05:30,460
+meter so the picture will be formed on one meter
+
+78
+00:05:30,460 --> 00:05:32,260
+distance on the right of the lens which is the
+
+79
+00:05:32,260 --> 00:05:34,660
+distance that we referred to with the word one
+
+80
+00:05:34,660 --> 00:05:37,620
+meter or with the number one meter which means the
+
+81
+00:05:37,620 --> 00:05:39,900
+picture will be here the picture will be here of
+
+82
+00:05:39,900 --> 00:05:42,200
+course it will be upside down picture we will say
+
+83
+00:05:42,200 --> 00:05:42,940
+why upside down
+
+84
+00:05:45,820 --> 00:05:53,960
+The true image of the speaker is collected And
+
+85
+00:05:53,960 --> 00:06:02,820
+The
+
+86
+00:06:02,820 --> 00:06:08,060
+transphase magnification is one meter of course
+
+87
+00:06:08,060 --> 00:06:10,800
+The TM
+
+88
+00:06:20,180 --> 00:06:27,900
+is equal to U over V is equal to minus two diopter
+
+89
+00:06:27,900 --> 00:06:34,940
+over plus one diopter minus two which is U plus
+
+90
+00:06:34,940 --> 00:06:39,900
+one plus
+
+91
+00:06:39,900 --> 00:06:47,840
+one diopter which is V is equal to X minus two X
+
+92
+00:06:47,840 --> 00:06:53,450
+minus pardon twoSo for Transface Magnification x-2
+
+93
+00:06:53,450 --> 00:07:04,090
+This
+
+94
+00:07:04,090 --> 00:07:06,670
+is how the example ended, but this is not our
+
+95
+00:07:06,670 --> 00:07:10,750
+topic Our topic is the virtual object What is its
+
+96
+00:07:10,750 --> 00:07:14,770
+relation to the virtual object? During the light
+
+97
+00:07:18,710 --> 00:07:23,390
+لتكوين الصورة بعد مقادر العدسة كيف حالته التشتتية؟
+
+98
+00:07:23,390 --> 00:07:27,170
+حالته التشتتية convergent light Convergent light
+
+99
+00:07:27,170 --> 00:07:34,270
+احنا بنروح نحط في طريقه عدسة عدسة قبل ما يلحق يكون
+
+100
+00:07:34,270 --> 00:07:40,170
+الصورة بتاعته طيب الآن اذا حطينا في طريقه عدسةThis
+
+101
+00:07:40,170 --> 00:07:42,790
+is for the first time, and for the first time we
+
+102
+00:07:42,790 --> 00:07:45,410
+give an example that the light hits the surface of
+
+103
+00:07:45,410 --> 00:07:48,410
+the front lens while it is convergent, always the
+
+104
+00:07:48,410 --> 00:07:51,350
+light reaches the surface of the lens divergent,
+
+105
+00:07:51,750 --> 00:07:55,090
+this time convergent, convergent, the case of the
+
+106
+00:07:55,090 --> 00:07:59,250
+curvature convergent, okay Now the scientists
+
+107
+00:07:59,250 --> 00:08:03,070
+said, in order to know how to deal with the other
+
+108
+00:08:03,070 --> 00:08:08,190
+lens, we need to bring its body, okayوين جسمها؟
+
+109
+00:08:08,190 --> 00:08:11,970
+صورة العدسة الأولى وين صورة العدسة الأولى؟ اللى
+
+110
+00:08:11,970 --> 00:08:16,950
+مشارقلها باللون الأحمر بس صورة العدسة الأولى عشان
+
+111
+00:08:16,950 --> 00:08:23,270
+نعتبرها object object وهى هتعتبر في علم ال
+
+112
+00:08:23,270 --> 00:08:26,670
+geometrical optics object ولكن المرة هى ال object
+
+113
+00:08:26,670 --> 00:08:31,710
+جاى عاليمين والضوء هيصطدم في سطح العين العدسة
+
+114
+00:08:31,710 --> 00:08:37,850
+الأمامى وهو convergent مش divergent طيبإذن هذا ال
+
+115
+00:08:37,850 --> 00:08:40,990
+object غير حقيقي، ليش؟ لأن لو object حقيقي، الضوء
+
+116
+00:08:40,990 --> 00:08:45,830
+لازم يطلع منه divergent، divergent، divergent،
+
+117
+00:08:45,830 --> 00:08:49,690
+سواء مضيق بذاته أو مضاع وعكس، سواء مضيق بذاته أو
+
+118
+00:08:49,690 --> 00:08:57,890
+مضاع وعكس، إذا الضوء وصل للعدسة، وصل للعدسةوهو
+
+119
+00:08:57,890 --> 00:09:02,530
+convergent، وهو convergent يعني مش divergent إذا
+
+120
+00:09:02,530 --> 00:09:07,750
+أن هو صادر، بعتبروا العلماء صادر من جسم تخيلي طب
+
+121
+00:09:07,750 --> 00:09:11,370
+إيش اللي هيصير عندي في هذه القضية؟ إيش اللي هيصير
+
+122
+00:09:11,370 --> 00:09:15,290
+عندي في هذه القضية؟ بنقول كالقادة، العدسة هاي
+
+123
+00:09:15,290 --> 00:09:20,030
+هنحطها إحنا، طبعا شيلناها، رجعنا للمسألة الأصلية،
+
+124
+00:09:20,030 --> 00:09:24,240
+هاي العدسة الأولىوهي الصورة بتاعتها عبعد متر، بده
+
+125
+00:09:24,240 --> 00:09:28,320
+أحط أنا عبعد نص متر من العدسة الأولى، يعني المسافة
+
+126
+00:09:28,320 --> 00:09:31,620
+هاي نص متر والمسافة هاي نص متر، المسافة الكلية
+
+127
+00:09:31,620 --> 00:09:38,540
+متر، بدنا نحط، بدنا نحط عدسة عبعد خمسين سانتي،
+
+128
+00:09:38,540 --> 00:09:46,940
+عبعد خمسين سانتي من العدسة الأولى، خمسين سانتي بما
+
+129
+00:09:46,940 --> 00:09:49,920
+أنه المسافة الكلية بين الصورة الأولى اللي هي
+
+130
+00:09:49,920 --> 00:09:53,760
+باللون الأحمروالعدسة الأولى اللى هى باللون الأزرق
+
+131
+00:09:53,760 --> 00:09:59,100
+المسافة بينهم واحد متر والمسافة بين العدستين نص
+
+132
+00:09:59,100 --> 00:10:03,760
+متر اذا المسافة هى المتبقية المتبقية ايضا نص متر
+
+133
+00:10:03,760 --> 00:10:10,960
+ايضا نص متر هذه
+
+134
+00:10:10,960 --> 00:10:16,720
+المسافة ايضا خمسين صنط اللى هى نص متر احنا اتفقنا
+
+135
+00:10:16,720 --> 00:10:17,620
+على قاعدة
+
+136
+00:10:20,370 --> 00:10:23,470
+that the picture of the first lens is a body for
+
+137
+00:10:23,470 --> 00:10:27,010
+the second lens the picture of the first lens is a
+
+138
+00:10:27,010 --> 00:10:30,370
+body for the second lens this picture of the first
+
+139
+00:10:30,370 --> 00:10:34,330
+lens is considered a body for the second lens an
+
+140
+00:10:34,330 --> 00:10:37,130
+imaginary body because it's on the right and
+
+141
+00:10:37,130 --> 00:10:39,670
+because it's not like the real bodies, light
+
+142
+00:10:39,670 --> 00:10:43,110
+reaches the lens body means light is supposed to
+
+143
+00:10:43,110 --> 00:10:47,710
+reach the lens from itطب هو جاي عن ناحية الخلفية
+
+144
+00:10:47,710 --> 00:10:51,310
+من العدسة كيف بده يصل الدوق طبعا احنا متفقين في ال
+
+145
+00:10:51,310 --> 00:10:54,830
+geometric optics .. في ال geometric optics ان
+
+146
+00:10:54,830 --> 00:10:58,610
+الدوق بيتحرك دائما من الشمال لليمين يعني الدوق مش
+
+147
+00:10:58,610 --> 00:11:02,250
+هيصل لهدي الصورة يكونها و بعدين يلف و يرجع عشان
+
+148
+00:11:02,250 --> 00:11:06,530
+يتحرك من الشمال لليمين لأ هو الدوق ماشي في طريقه
+
+149
+00:11:06,530 --> 00:11:11,740
+بدنا نتخيل تخيل انه تكونت صورة هناOf course, the
+
+150
+00:11:11,740 --> 00:11:14,520
+image here is real, why? Because if we remove this
+
+151
+00:11:14,520 --> 00:11:16,940
+lens and bring a screen, we can see it because the
+
+152
+00:11:16,940 --> 00:11:21,140
+rays are convergent It is a real image, but at the
+
+153
+00:11:21,140 --> 00:11:23,740
+same time, it is an imaginary body, why? Because
+
+154
+00:11:23,740 --> 00:11:27,300
+the conditions of the real body do not apply to it
+
+155
+00:11:27,300 --> 00:11:29,860
+What are the conditions of the real body? We said
+
+156
+00:11:29,860 --> 00:11:33,000
+that the real body must have a divergent light,
+
+157
+00:11:33,040 --> 00:11:36,680
+must have a divergent light Scientists agreed that
+
+158
+00:11:36,680 --> 00:11:42,110
+each bodyكل جسم الضوء بيصل منه divergent للسطح
+
+159
+00:11:42,110 --> 00:11:47,730
+الأمامي من العدسة هو جسم حقيقي وكل جسم بيصل الضوء
+
+160
+00:11:47,730 --> 00:11:51,950
+convergent للسطح الأمامي للعدسة هو جسم تخيلي جسم
+
+161
+00:11:51,950 --> 00:11:58,590
+تخيلي لأنه عن ناحية التانية من العدسة يعني الضوء
+
+162
+00:11:58,590 --> 00:12:03,410
+مفروض بس يغادر يصل الآن لأ هو هنا عن ناحية اليمين
+
+163
+00:12:04,040 --> 00:12:07,760
+We don't call it the wrong way, but the light is
+
+164
+00:12:07,760 --> 00:12:11,860
+coming in its way to form this image, which we
+
+165
+00:12:11,860 --> 00:12:13,960
+will consider as the body of the yellow lens,
+
+166
+00:12:14,740 --> 00:12:16,600
+which collided with the yellow lens before
+
+167
+00:12:16,600 --> 00:12:18,940
+reaching the formation of image number one, which
+
+168
+00:12:18,940 --> 00:12:23,270
+is the body number twoفاحنا بنتخيل تخيل أنه الضوء
+
+169
+00:12:23,270 --> 00:12:27,930
+كأنه كوّنلي صورة هنا وكأنه هذه الصورة بدنا نعتبرها
+
+170
+00:12:27,930 --> 00:12:33,650
+جسم للعدسة التانية وعشان هيك هذا الجسم تخيلي لإنه
+
+171
+00:12:33,650 --> 00:12:37,810
+الضوء وصل لسطح العدسة وهو convergent الآن بدنا
+
+172
+00:12:37,810 --> 00:12:42,570
+نكمل المسألة، هذا هو صورة حقيقية وفي نفس الوقت
+
+173
+00:12:42,570 --> 00:12:46,690
+صورة حقيقية لمين؟ للعدسة الأولى، للعدسة الأولى وفي
+
+174
+00:12:46,690 --> 00:12:52,460
+نفس الوقت جسم تخيلي للعدسة التانيةHow far is this
+
+175
+00:12:52,460 --> 00:12:54,560
+object away from the other lens? 50 cm to the
+
+176
+00:12:54,560 --> 00:12:59,140
+right Now we solve this problem in the way we see
+
+177
+00:12:59,140 --> 00:13:07,760
+it We say U is equal to plus N over O Why plus N
+
+178
+00:13:07,760 --> 00:13:11,120
+over O? We always solve by saying minus N over O
+
+179
+00:13:11,120 --> 00:13:15,560
+Of course, the other lens is here Its force is
+
+180
+00:13:15,560 --> 00:13:18,080
+plus 2 diopter So that we don't forget the force
+
+181
+00:13:24,160 --> 00:13:31,080
+plus two this is greater than plus two
+
+182
+00:13:31,080 --> 00:13:33,200
+this is greater than plus two this is greater than
+
+183
+00:13:33,200 --> 00:13:34,460
+plus two this is greater than plus two this is
+
+184
+00:13:34,460 --> 00:13:34,500
+two this is greater than plus two this is greater
+
+185
+00:13:34,500 --> 00:13:34,640
+than plus two this is greater than plus two this
+
+186
+00:13:34,640 --> 00:13:34,660
+is greater than plus two this is greater than plus
+
+187
+00:13:34,660 --> 00:13:34,820
+than plus two this is greater than plus two this
+
+188
+00:13:34,820 --> 00:13:34,880
+is greater than plus two this is greater than plus
+
+189
+00:13:34,880 --> 00:13:35,380
+two this is greater than plus two this is greater
+
+190
+00:13:35,380 --> 00:13:35,440
+than plus two this is greater than plus two this
+
+191
+00:13:35,440 --> 00:13:35,580
+two this is greater than plus two this is greater
+
+192
+00:13:35,580 --> 00:13:36,900
+than plus two this is greater than plus two this
+
+193
+00:13:36,900 --> 00:13:41,720
+is greater than plus two this is greater than plus
+
+194
+00:13:41,720 --> 00:13:46,020
+two this is greater than plus two
+
+195
+00:13:50,380 --> 00:13:53,100
+This is O, this is the object of this lens, which
+
+196
+00:13:53,100 --> 00:13:55,620
+is the image of the second lens The first lens
+
+197
+00:13:55,620 --> 00:13:57,500
+image, excuse me, is the object of the second lens
+
+198
+00:13:57,500 --> 00:14:00,800
+O has a distance between it and the second lens 50
+
+199
+00:14:00,800 --> 00:14:07,140
+cm, which is half a meter And equals plus two
+
+200
+00:14:07,140 --> 00:14:11,460
+diopters Plus
+
+201
+00:14:11,460 --> 00:14:18,000
+two diopters So, for the first time, light reaches
+
+202
+00:14:18,000 --> 00:14:23,860
+the divergence plusوصل لسطح العدسة ب Virgin's plus
+
+203
+00:14:23,860 --> 00:14:34,160
+لو plus 2 ده يكتر طيب ضوء متجمع متجمع ضوء متجمع و
+
+204
+00:14:34,160 --> 00:14:38,200
+يضيف إله قوة العدسة العدسة ال plus العدسة المحددة
+
+205
+00:14:38,200 --> 00:14:42,720
+بتزيد تجمع الضوء فبنقول ال V جداش هتكون المرة high
+
+206
+00:14:42,720 --> 00:14:53,640
+بنقول U زائد P يساوي Vالـ U زائد اتنين ديوبتر،
+
+207
+00:14:53,640 --> 00:15:00,660
+زائد ال power كمان اتنين ديوبتر، ويساوي V، اذا V
+
+208
+00:15:00,660 --> 00:15:08,360
+plus أربعة ديوبتر، V تساوي plus أربعة، عفوا، أربعة
+
+209
+00:15:08,360 --> 00:15:16,090
+ديوبتر لأول مرةthe U with the plus and it will add
+
+210
+00:15:16,090 --> 00:15:20,610
+to it the power of the lens so plus four diopters
+
+211
+00:15:20,610 --> 00:15:24,530
+plus four diopters okay as long as plus four
+
+212
+00:15:24,530 --> 00:15:27,550
+diopters then the lens came out of it which is the
+
+213
+00:15:27,550 --> 00:15:30,810
+second lens which is yellow came out of it light
+
+214
+00:15:30,810 --> 00:15:33,950
+collected in the amount of plus four diopters will
+
+215
+00:15:33,950 --> 00:15:40,270
+form a real picture V equals unconditional over I
+
+216
+00:15:43,730 --> 00:15:52,410
+ويساوي I تساوي
+
+217
+00:15:52,410 --> 00:16:00,470
+Uncharted على V ببدّله مكان بعض ويساوي واحد على
+
+218
+00:16:00,470 --> 00:16:08,690
+plus أربعة ديوبطر ويساوي plus ربع متر
+
+219
+00:16:13,700 --> 00:16:17,220
+يعني خمسة و عشرين سانتي، من هنا لهنا خمسين سانتي،
+
+220
+00:16:17,220 --> 00:16:22,280
+إذا الصورة هنا، إذا الصورة هنا، هنرسمها بلون آخر
+
+221
+00:16:22,280 --> 00:16:26,600
+على
+
+222
+00:16:26,600 --> 00:16:31,700
+بعد خمسين سانتي من العدسة، على يمين العدسة
+
+223
+00:16:45,810 --> 00:16:53,630
+So, this is the final image, which is yellow, 25
+
+224
+00:16:53,630 --> 00:16:56,850
+cm away from the lens, which is 25 cm away from
+
+225
+00:16:56,850 --> 00:17:01,430
+the previous image, which is half the distance,
+
+226
+00:17:01,510 --> 00:17:03,590
+which is half the distance, this is the final
+
+227
+00:17:03,590 --> 00:17:05,930
+image, the final image
+
+228
+00:17:09,310 --> 00:17:12,850
+The light comes in versions plus, and we also put
+
+229
+00:17:12,850 --> 00:17:17,710
+a plus lens on it, it gets closer to the final
+
+230
+00:17:17,710 --> 00:17:20,050
+image of the lens, that is, image number two is
+
+231
+00:17:20,050 --> 00:17:22,410
+closer to image number one, this image number one
+
+232
+00:17:22,410 --> 00:17:24,790
+means that of the first lens, and this image
+
+233
+00:17:24,790 --> 00:17:27,450
+number two is closer, we always know that the
+
+234
+00:17:27,450 --> 00:17:29,890
+image number two is after image number one, yes,
+
+235
+00:17:29,970 --> 00:17:32,390
+but here the matter is different becauseThis
+
+236
+00:17:32,390 --> 00:17:35,330
+picture number 1 is a virtual object What does
+
+237
+00:17:35,330 --> 00:17:38,630
+virtual object mean? It does not take from the
+
+238
+00:17:38,630 --> 00:17:40,910
+power of the lens, it adds to the power of the
+
+239
+00:17:40,910 --> 00:17:45,770
+lens It is the accumulation of light plus 2, and
+
+240
+00:17:45,770 --> 00:17:48,810
+the lens added what it has which is plus 2, so I
+
+241
+00:17:48,810 --> 00:17:52,290
+have V plus 4, which is light, which is the
+
+242
+00:17:52,290 --> 00:17:55,830
+accumulation of this object Of course, to transfer
+
+243
+00:17:55,830 --> 00:17:59,430
+magnification, to complete the matter, which is
+
+244
+00:17:59,430 --> 00:18:11,580
+TM2TM2 is equal to U over V U over V is equal to
+
+245
+00:18:11,580 --> 00:18:18,260
+plus 2 over plus 4 so plus 2 is negative over plus
+
+246
+00:18:18,260 --> 00:18:25,680
+4 is positive and is equal to X plus over plus
+
+247
+00:18:25,680 --> 00:18:32,270
+plus and 2 over 4 is half and the negativehe goes
+
+248
+00:18:32,270 --> 00:18:36,550
+away, he wants to leave, he goes away, so x plus
+
+249
+00:18:36,550 --> 00:18:42,390
+half means the picture is regular, regular like
+
+250
+00:18:42,390 --> 00:18:47,150
+its body what does it mean regular like its body,
+
+251
+00:18:47,490 --> 00:18:51,070
+it is necessary to understand this issue, regular
+
+252
+00:18:52,240 --> 00:18:54,300
+means that its direction is the same as the
+
+253
+00:18:54,300 --> 00:18:56,040
+direction of the body you can say that I'm upside
+
+254
+00:18:56,040 --> 00:18:57,820
+down in the picture, yes as long as it's upside
+
+255
+00:18:57,820 --> 00:18:59,860
+down like its body, this is its body and this is
+
+256
+00:18:59,860 --> 00:19:02,340
+the final picture its direction is the same as the
+
+257
+00:19:02,340 --> 00:19:05,180
+direction of the body, we call it vertical upside
+
+258
+00:19:05,180 --> 00:19:07,380
+down means upside down relative to its body if its
+
+259
+00:19:07,380 --> 00:19:12,960
+body is down, it means it's up so x plus half is a
+
+260
+00:19:12,960 --> 00:19:15,800
+vertical picture like its body and its height is
+
+261
+00:19:15,800 --> 00:19:17,320
+exactly half of its height and we get the total
+
+262
+00:19:21,620 --> 00:19:31,500
+transfers magnification يساوي
+
+263
+00:19:31,500 --> 00:19:46,020
+TM1 فيTM2 يعني minus 2 ضرب plus نص ضرب
+
+264
+00:19:46,020 --> 00:19:49,440
+plus نص ويساوي
+
+265
+00:19:51,000 --> 00:19:57,600
+x minus one, x minus one, what does x minus one
+
+266
+00:19:57,600 --> 00:20:01,860
+mean? It means that the final picture, the final
+
+267
+00:20:01,860 --> 00:20:07,660
+picture is
+
+268
+00:20:07,660 --> 00:20:11,900
+inverted relative to the original body and its
+
+269
+00:20:11,900 --> 00:20:12,660
+height is really high
+
+270
+00:20:20,950 --> 00:20:26,110
+الصورة النهائية ال final image ارتفاعها جد ارتفاع
+
+271
+00:20:26,110 --> 00:20:30,530
+ارتفاعها جد ارتفاعها هذه فكرة ال virtual object ال
+
+272
+00:20:30,530 --> 00:20:38,680
+virtual object هو ضوء رايح يتجمع رايح يتجمععشان
+
+273
+00:20:38,680 --> 00:20:43,080
+يكونلي صورة قبل ما يلحق يتجمعوه في طريقه وقاعدة
+
+274
+00:20:43,080 --> 00:20:46,280
+الأشعة بتقترب من بعض واحنا حاطينا عدسة في طريقه
+
+275
+00:20:46,280 --> 00:20:49,980
+لما بنحط عدسة في طريقه قبل ما يصل أنه يكون الصورة،
+
+276
+00:20:49,980 --> 00:20:53,430
+يعني هاد الصورة حقيقيةBut if we come now with a
+
+277
+00:20:53,430 --> 00:20:56,830
+screen, with a screen, a pencil and a sheet of A4
+
+278
+00:20:56,830 --> 00:20:59,010
+paper, we will not find the real picture, why?
+
+279
+00:20:59,390 --> 00:21:02,890
+Because its light is going to accumulate to form
+
+280
+00:21:02,890 --> 00:21:06,330
+it, we put a lens in its way, its accumulation
+
+281
+00:21:06,330 --> 00:21:09,130
+increased, so it got closer to a place, it got
+
+282
+00:21:09,130 --> 00:21:10,790
+closer to a place, and of course this will be the
+
+283
+00:21:10,790 --> 00:21:14,010
+picture of the second lens, so it is a real
+
+284
+00:21:14,010 --> 00:21:16,430
+picture because the rays are going to accumulate,
+
+285
+00:21:16,550 --> 00:21:19,270
+but an imaginary body, why an imaginary body for
+
+286
+00:21:19,270 --> 00:21:24,780
+the second lens? Becausetaste of it .. taste of it
+
+287
+00:21:24,780 --> 00:21:26,740
+.. if we consider it to be the body of other
+
+288
+00:21:26,740 --> 00:21:29,280
+lenses .. taste of it is convergent and this does
+
+289
+00:21:29,280 --> 00:21:32,800
+not happen in real bodies in the examples we gave
+
+290
+00:21:32,800 --> 00:21:36,380
+Now there is a simulation we want to see and we
+
+291
+00:21:36,380 --> 00:21:41,560
+try to stick to itهي انا عندي طبعا العدسة في ال
+
+292
+00:21:41,560 --> 00:21:47,320
+simulation مرموز لها ب .. يعني خط ذو ساهمين العدسة
+
+293
+00:21:47,320 --> 00:21:51,480
+ال plus زي هيك العدسة ال plus زي هيك ساهمين العدسة
+
+294
+00:21:51,480 --> 00:21:59,580
+ال minus لها شكل تاني لها شكل تاني فبالتالي يعني
+
+295
+00:21:59,580 --> 00:22:04,180
+هنصل لموضوع العدسة ال minus في حين الان هى عندي
+
+296
+00:22:04,180 --> 00:22:12,720
+عدسة plusوبدنا نتخيل أنه العدسة على
+
+297
+00:22:12,720 --> 00:22:20,960
+بعد نص متر هنا
+
+298
+00:22:20,960 --> 00:22:23,080
+قوة العدسة بدنا نتحكم فيها
+
+299
+00:22:37,250 --> 00:22:41,690
+Not this way, let's explain the idea without the
+
+300
+00:22:41,690 --> 00:22:48,050
+ruler, without the measures Without
+
+301
+00:22:48,050 --> 00:22:53,510
+the measures, here I have a plus lens and here I
+
+302
+00:22:53,510 --> 00:22:55,510
+have an object
+
+303
+00:23:01,610 --> 00:23:05,170
+الصورة هتتكون في المكان هذا الصورة هتتكون في
+
+304
+00:23:05,170 --> 00:23:10,110
+المكان هذا على بعد معين من العدسة ملاحظين ان
+
+305
+00:23:10,110 --> 00:23:15,190
+الاشعة convergent الان بدنا ننظر للمكان هذا لما
+
+306
+00:23:15,190 --> 00:23:19,110
+نضيف العدسة رقم اتنين لما العدسة رقم اتنين هنضيفها
+
+307
+00:23:20,290 --> 00:23:24,550
+طبعا هيضرب في سطحها الأمامي الضوء بشكل convergent
+
+308
+00:23:24,550 --> 00:23:28,350
+إذا صورة العدسة الأولى اللى هى هنا هتكون مكان
+
+309
+00:23:28,350 --> 00:23:32,630
+التقاء الأشعة هى صورة العدسة الأولى هتصبح جسم
+
+310
+00:23:32,630 --> 00:23:36,050
+للعدسة التانية بس جسم جاى على اليمين يعنى بمعنى
+
+311
+00:23:36,050 --> 00:23:40,590
+آخر اللى هيضرب في السطح الأمامى للعدسة convergent
+
+312
+00:23:40,590 --> 00:23:45,030
+ريه فهيكون جسمVirtual, virtual object فلمّا
+
+313
+00:23:45,030 --> 00:23:48,490
+virtual object, convergent ray تصطدم بسطح العدسة
+
+314
+00:23:48,490 --> 00:23:53,450
+التانية أنا لسه ما حطيت العدسة التانية ولمّا أحطها
+
+315
+00:23:53,450 --> 00:23:57,650
+هيكون اللي بصطدم في سطحها الأمامي Convergent ray
+
+316
+00:23:57,650 --> 00:24:00,930
+is a virtual object إذا صورة العدسة الأولى هتكون
+
+317
+00:24:00,930 --> 00:24:05,450
+عاليمين يعني بمعنى آخر شايفين كيف اقتربت الصورة
+
+318
+00:24:05,450 --> 00:24:12,870
+النهائية الأشعة كانت رايحة تعمل صورة هنا let's add
+
+319
+00:24:12,870 --> 00:24:20,150
+the ruler and see
+
+320
+00:24:20,150 --> 00:24:28,030
+how close it is I will put it at zero which means
+
+321
+00:24:28,030 --> 00:24:36,290
+this distance is close remove it again which
+
+322
+00:24:36,290 --> 00:24:40,880
+means this distance is closeSo here I have a
+
+323
+00:24:40,880 --> 00:24:44,420
+virtual object, virtual object, virtual object,
+
+324
+00:24:44,480 --> 00:24:46,520
+why virtual object? The picture was here, the
+
+325
+00:24:46,520 --> 00:24:51,300
+picture of the first lens, again Notice Here I
+
+326
+00:24:51,300 --> 00:24:53,240
+have the picture of the first lens, which will be
+
+327
+00:24:53,240 --> 00:24:56,160
+considered a body compared to the second lens But
+
+328
+00:24:56,160 --> 00:24:59,440
+is it a real body or not? We see, we put the
+
+329
+00:24:59,440 --> 00:25:04,000
+second lens And we say, the light that hit the
+
+330
+00:25:04,000 --> 00:25:06,440
+surface of the second lens coming from the first
+
+331
+00:25:06,440 --> 00:25:10,850
+lens is convergentIt's a real picture of the first
+
+332
+00:25:10,850 --> 00:25:13,530
+lens, but it's a virtual object of the second
+
+333
+00:25:13,530 --> 00:25:17,650
+lens. The virtual object gives me convergent rays,
+
+334
+00:25:18,050 --> 00:25:20,690
+gives me convergent rays, contrary to all the real
+
+335
+00:25:20,690 --> 00:25:25,590
+objects that give divergent rays. The real object
+
+336
+00:25:25,590 --> 00:25:29,550
+gives divergent raysdivergent, while the virtual
+
+337
+00:25:29,550 --> 00:25:33,770
+object gives me convergent rays, this is called
+
+338
+00:25:33,770 --> 00:25:36,810
+virtual because it is impossible to find a real
+
+339
+00:25:36,810 --> 00:25:39,910
+body that gives out convergent rays, and we hit
+
+340
+00:25:39,910 --> 00:25:42,090
+the example of the sun and the candle and the
+
+341
+00:25:42,090 --> 00:25:45,270
+child Adam, and if for example we put a table in
+
+342
+00:25:45,270 --> 00:25:48,250
+the middle and we put this table and we sit and
+
+343
+00:25:48,250 --> 00:25:50,570
+look at it, we will all see it from all sides
+
+344
+00:25:50,570 --> 00:25:54,690
+because it is a real body, a real body, now
+
+345
+00:25:54,690 --> 00:26:01,490
+recognition has been made onnext next in geometric
+
+346
+00:26:01,490 --> 00:26:06,790
+optics any object any object that emits rays
+
+347
+00:26:06,790 --> 00:26:10,670
+divergent divergent is considered a real object
+
+348
+00:26:10,670 --> 00:26:14,330
+even if it is really a real object or a first
+
+349
+00:26:14,330 --> 00:26:18,570
+image of the lens for example this distance now
+
+350
+00:26:18,570 --> 00:26:22,810
+this is a real image of the first lens and also a
+
+351
+00:26:22,810 --> 00:26:26,380
+real object of the second lens why?The image was
+
+352
+00:26:26,380 --> 00:26:28,980
+formed and then the rays scattered from it, it
+
+353
+00:26:28,980 --> 00:26:32,820
+will reach the surface of the lens number 2,
+
+354
+00:26:33,160 --> 00:26:36,060
+number 2, it will reach the surface of the lens
+
+355
+00:26:36,060 --> 00:26:39,160
+number 2, it will reach scattered, then this is a
+
+356
+00:26:39,160 --> 00:26:41,020
+real body and at the same time because they are
+
+357
+00:26:41,020 --> 00:26:44,380
+collected rays, a real image, I can capture it on
+
+358
+00:26:44,380 --> 00:26:48,000
+screen Okay, same problem, I will not change
+
+359
+00:26:48,000 --> 00:26:52,460
+anything, Allahumma here, put the other lens here
+
+360
+00:26:54,430 --> 00:26:57,990
+الاشعة متجمعة لطالع من العدسة الأولى، إذا الصورة
+
+361
+00:26:57,990 --> 00:27:02,630
+حقيقية طالما الأشعة متجمعة طيب، بس قبل ما تلحج،
+
+362
+00:27:02,630 --> 00:27:06,590
+اتكون الصورة، إجت العدسة التانية وقفت في طريقها،
+
+363
+00:27:06,590 --> 00:27:12,530
+العدسة التانية، سطحها الأمامي، تلقى الأشعة متجمعة،
+
+364
+00:27:12,530 --> 00:27:16,490
+إذا صورة العدسة الأولى صورة حقيقية، ليش؟ لأن ال V
+
+365
+00:27:16,490 --> 00:27:22,450
+بال plus، ال V بال plus، طيبThis is the picture of
+
+366
+00:27:22,450 --> 00:27:24,810
+the first lens, which we consider to be the body
+
+367
+00:27:24,810 --> 00:27:28,550
+of the second lens, which is its real place, as we
+
+368
+00:27:28,550 --> 00:27:32,070
+will see now. This is its real place here. If we
+
+369
+00:27:32,070 --> 00:27:34,110
+put another lens through the collected rays,
+
+370
+00:27:37,210 --> 00:27:41,630
+the rays will collide.in the second lens in case
+
+371
+00:27:41,630 --> 00:27:44,870
+of convergence, not divergence, then a real
+
+372
+00:27:44,870 --> 00:27:46,890
+picture, the first picture, the first picture of
+
+373
+00:27:46,890 --> 00:27:48,870
+the lens is a real picture, but the body is
+
+374
+00:27:48,870 --> 00:27:53,530
+imaginary to the second lens Okay, now the same
+
+375
+00:27:53,530 --> 00:27:57,410
+thing, I put the second lens, but after the
+
+376
+00:27:57,410 --> 00:27:59,750
+picture was formed, the picture was formed, things
+
+377
+00:27:59,750 --> 00:28:03,610
+met and then became divergent again, this is a
+
+378
+00:28:03,610 --> 00:28:15,020
+real pictureصورة رقم واحد صورة حقيقية الصورة
+
+379
+00:28:15,020 --> 00:28:16,920
+رقم واحد صورة حقيقية الصورة رقم واحد صورة حقيقية
+
+380
+00:28:16,920 --> 00:28:18,340
+حقيقية صورة رقم واحد صورة حقيقية صورة رقم واحد
+
+381
+00:28:18,340 --> 00:28:19,220
+صورة رقم واحد صورة رقم واحد صورة رقم واحد صورة رقم
+
+382
+00:28:19,220 --> 00:28:22,040
+واحد صورة رقم واحد صورة رقم واحد صورة رقم واحد
+
+383
+00:28:22,040 --> 00:28:27,760
+صورة رقم واحد صورة رقم واحد صورة رقم واحد صورة رقم
+
+384
+00:28:27,760 --> 00:28:32,340
+واحد صورة رقم واحد صورة رقم واحد صورة رقم واحد
+
+385
+00:28:32,340 --> 00:28:32,480
+صورة رقم واحد صورة رقم
+
+386
+00:28:40,650 --> 00:28:51,710
+بالنسبة regarding to object ايش
+
+387
+00:28:51,710 --> 00:28:58,390
+regarding to object نشوف، نقول if u
+
+388
+00:28:58,390 --> 00:29:01,670
+ال virgin is minus
+
+389
+00:29:08,250 --> 00:29:14,370
+this will be my real object if
+
+390
+00:29:14,370 --> 00:29:19,390
+you is
+
+391
+00:29:19,390 --> 00:29:23,250
+your reduced object convergence is the light that
+
+392
+00:29:23,250 --> 00:29:27,690
+reached if
+
+393
+00:29:27,690 --> 00:29:31,490
+u plus is convergent we are talking about the
+
+394
+00:29:31,490 --> 00:29:37,810
+object virtual object okay
+
+395
+00:29:39,220 --> 00:29:47,380
+regarding to image if
+
+396
+00:29:47,380 --> 00:29:54,980
+v when we talk about image we talk about v is plus
+
+397
+00:29:54,980 --> 00:29:59,700
+the
+
+398
+00:29:59,700 --> 00:29:59,980
+real image
+
+399
+00:30:08,220 --> 00:30:19,080
+if v is minus image
+
+400
+00:30:19,080 --> 00:30:19,700
+is virtual
+
+401
+00:30:45,550 --> 00:30:49,590
+Let's go back to the simulation and say that I
+
+402
+00:30:49,590 --> 00:30:55,470
+have two objects, and the first object is the real
+
+403
+00:30:55,470 --> 00:30:57,790
+object, the basic one that started with the
+
+404
+00:30:57,790 --> 00:31:00,010
+example, is it real? Of course it is real, things
+
+405
+00:31:00,010 --> 00:31:02,710
+are divergent from it. Okay, this is object number
+
+406
+00:31:02,710 --> 00:31:08,000
+two, is it real?areal because the rays are
+
+407
+00:31:08,000 --> 00:31:10,000
+gathered in the image and then the image is
+
+408
+00:31:10,000 --> 00:31:12,920
+considered an object for the other lens how did it
+
+409
+00:31:12,920 --> 00:31:15,580
+reach the other lens? divergent exactly like the
+
+410
+00:31:15,580 --> 00:31:20,720
+real body ok let's repeat the example again this
+
+411
+00:31:20,720 --> 00:31:27,040
+is a real object yes a real object ok the lens
+
+412
+00:31:27,040 --> 00:31:29,260
+formed a picture in a place that is out of space
+
+413
+00:31:29,260 --> 00:31:30,740
+this is the place that you can't see now we will
+
+414
+00:31:30,740 --> 00:31:32,540
+move the lens and we will see it this is the place
+
+415
+00:31:32,540 --> 00:31:38,310
+that is out of space nowA real image. Convergent
+
+416
+00:31:38,310 --> 00:31:43,850
+rays. V plus. This real image, which has a place
+
+417
+00:31:43,850 --> 00:31:46,770
+of space, is considered an object for the second
+
+418
+00:31:46,770 --> 00:31:49,590
+lens. Is it a real object or a virtual object?
+
+419
+00:31:50,110 --> 00:31:53,050
+Why? Because U is in the plus sign. The rays
+
+420
+00:31:53,050 --> 00:31:55,730
+collected when they hit the surface of the second
+
+421
+00:31:55,730 --> 00:32:03,610
+lens. The second final image.التانية هل هي .. هل
+
+422
+00:32:03,610 --> 00:32:09,290
+هي حقيقية او صورة حقيقية؟ هل هي صورة حقيقية؟ اذا
+
+423
+00:32:09,290 --> 00:32:15,940
+جسم تخيليالجسم الأول حقيقي، الجسم التاني تخيلي،
+
+424
+00:32:15,940 --> 00:32:19,720
+الصورتين حقيقيات، الصورتين حقيقيات، صورة العدسة
+
+425
+00:32:19,720 --> 00:32:22,420
+الأولى حقيقية لإن الأشعة اللى طلعت من العدسة
+
+426
+00:32:22,420 --> 00:32:27,600
+الأولى متجمعة، و الصورة التانية حقيقية لإن الأشعة
+
+427
+00:32:27,600 --> 00:32:30,840
+اللى طلعت من العدسة التانية أيضا متجمعة، إذا كان
+
+428
+00:32:30,840 --> 00:32:36,880
+متجمعة يعني ال V plus، ال V plus ال image is realV
+
+429
+00:32:36,880 --> 00:32:40,100
+minus means the image is virtual, we will see a
+
+430
+00:32:40,100 --> 00:32:43,760
+simulation on this topic U if it is minus means it
+
+431
+00:32:43,760 --> 00:32:46,820
+is a real object, regardless if it is the first
+
+432
+00:32:46,820 --> 00:32:49,160
+object or the first picture that we will consider
+
+433
+00:32:49,160 --> 00:32:51,260
+as object number 2 or the second picture that we
+
+434
+00:32:51,260 --> 00:32:54,150
+will consider as object number 3 or the pictureThe
+
+435
+00:32:54,150 --> 00:32:55,870
+fourth one that we will consider as object number
+
+436
+00:32:55,870 --> 00:32:58,330
+five Regardless, as long as I consider it as an
+
+437
+00:32:58,330 --> 00:33:00,130
+object, I have to say about it that it is real or
+
+438
+00:33:00,130 --> 00:33:03,350
+not real I want to know if it is real or not real,
+
+439
+00:33:03,450 --> 00:33:05,430
+we see the rays coming out of it If it is
+
+440
+00:33:05,430 --> 00:33:08,250
+divergent, then it is real Divergent, negative
+
+441
+00:33:08,250 --> 00:33:12,240
+vergence, then it is realBut if the rays reached
+
+442
+00:33:12,240 --> 00:33:16,980
+from this object, convergent to the surface of the
+
+443
+00:33:16,980 --> 00:33:21,720
+lens, then it is a virtual object The image, if it
+
+444
+00:33:21,720 --> 00:33:23,820
+is a V with a plus sign, it means the rays coming
+
+445
+00:33:23,820 --> 00:33:25,740
+out of the lens, not going to the lens
+
+446
+00:33:29,160 --> 00:33:31,680
+Plus means the rays are convergent, the image is
+
+447
+00:33:31,680 --> 00:33:38,880
+real But if the rays coming out of the lens If it
+
+448
+00:33:38,880 --> 00:33:41,520
+is minus, it means divergent, which means the
+
+449
+00:33:41,520 --> 00:33:45,240
+image is virtual Let's see the virtual image,
+
+450
+00:33:45,260 --> 00:33:54,260
+let's remove this lens Let's
+
+451
+00:33:54,260 --> 00:33:55,380
+remove this lens completely
+
+452
+00:33:59,970 --> 00:34:09,030
+Nعملها delete تمام هاي أنا عندى object أول حاجة هل
+
+453
+00:34:09,030 --> 00:34:11,890
+هو real object؟ طبعا مش لأنه ال object الأول، الآن
+
+454
+00:34:11,890 --> 00:34:15,290
+في علم ال geometric optics سواء ال object الأول أو
+
+455
+00:34:15,290 --> 00:34:18,890
+التانى أو التالت أو الرابع أو العشرين طالما الأشعة
+
+456
+00:34:18,890 --> 00:34:22,570
+اللى بتصل منه لسطح العدسة الأمامى, divergent فهو
+
+457
+00:34:22,570 --> 00:34:26,800
+realOkay, now we are not talking about it, the
+
+458
+00:34:26,800 --> 00:34:29,720
+rays that came out of the lens are also divergent,
+
+459
+00:34:29,880 --> 00:34:33,960
+also divergent, then the picture is imaginary, as
+
+460
+00:34:33,960 --> 00:34:35,300
+long as it is divergent, it means negative
+
+461
+00:34:35,300 --> 00:34:38,040
+divergence, then the V with minus, the image is
+
+462
+00:34:38,040 --> 00:34:41,200
+virtual, the image is virtual, okay? So therefore,
+
+463
+00:34:41,460 --> 00:34:44,080
+it is necessary for us to differentiate between
+
+464
+00:34:44,080 --> 00:34:47,200
+the real object and the virtual objectand the real
+
+465
+00:34:47,200 --> 00:34:50,740
+image and the virtual image We stop at this point
+
+466
+00:34:50,740 --> 00:34:54,800
+and we continue next time and we will find
+
+467
+00:34:54,800 --> 00:34:58,640
+exercises on the virtual object in the exercises
+
+468
+00:34:58,640 --> 00:35:01,560
+section on the mood page God bless you and peace
+
+469
+00:35:01,560 --> 00:35:02,080
+be upon you
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/r1UlDjNSd0s_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/r1UlDjNSd0s_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..5b97f84b6c1d097f773ef6de577b0e7c82e23120
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/r1UlDjNSd0s_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2970, "start": 1.64, "end": 29.7, "text": "In the name of God, Most Gracious, Most Merciful. We are continuing the lectures on engineering vision, and we have reached a thin lens approximation. The lensmaker's equation deals with a single refracting surface, but of course lenses have two surfaces. In other words, the lensmaker equation has been derived and deals with a single refracting surface, which means that I have a glass rod", "tokens": [4575, 264, 1315, 295, 1265, 11, 4534, 20586, 851, 11, 4534, 18897, 2069, 13, 492, 366, 9289, 264, 16564, 322, 7043, 5201, 11, 293, 321, 362, 6488, 257, 5862, 6765, 28023, 13, 440, 6765, 18821, 311, 5367, 11215, 365, 257, 2167, 45353, 278, 3753, 11, 457, 295, 1164, 18059, 362, 732, 16130, 13, 682, 661, 2283, 11, 264, 6765, 18821, 5367, 575, 668, 18949, 293, 11215, 365, 257, 2167, 45353, 278, 3753, 11, 597, 1355, 300, 286, 362, 257, 4276, 8685], "avg_logprob": -0.44207317218547915, "compression_ratio": 1.7377777777777779, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1.64, "end": 1.82, "word": "In", "probability": 0.488037109375}, {"start": 1.82, "end": 1.94, "word": " the", "probability": 0.90478515625}, {"start": 1.94, "end": 1.94, "word": " name", "probability": 0.82421875}, {"start": 1.94, "end": 1.94, "word": " of", "probability": 0.97705078125}, {"start": 1.94, "end": 2.06, "word": " God,", "probability": 0.5966796875}, {"start": 2.1, "end": 2.4, "word": " Most", "probability": 0.25439453125}, {"start": 2.4, "end": 2.4, "word": " Gracious,", "probability": 0.820556640625}, {"start": 2.42, "end": 2.5, "word": " Most", "probability": 0.9267578125}, {"start": 2.5, "end": 2.8, "word": " Merciful.", "probability": 0.936279296875}, {"start": 4.56, "end": 5.18, "word": " We", "probability": 0.65185546875}, {"start": 5.18, "end": 5.22, "word": " are", "probability": 0.2109375}, {"start": 5.22, "end": 5.46, "word": " continuing", "probability": 0.6533203125}, {"start": 5.46, "end": 5.56, "word": " the", "probability": 0.1934814453125}, {"start": 5.56, "end": 5.86, "word": " lectures", "probability": 0.3046875}, {"start": 5.86, "end": 6.3, "word": " on", "probability": 0.546875}, {"start": 6.3, "end": 7.06, "word": " engineering", "probability": 0.323974609375}, {"start": 7.06, "end": 7.06, "word": " vision,", "probability": 0.31884765625}, {"start": 7.54, "end": 7.72, "word": " and", "probability": 0.798828125}, {"start": 7.72, "end": 7.86, "word": " we", "probability": 0.63818359375}, {"start": 7.86, "end": 7.9, "word": " have", "probability": 0.372314453125}, {"start": 7.9, "end": 8.14, "word": " reached", "probability": 0.57373046875}, {"start": 8.14, "end": 9.26, "word": " a", "probability": 0.1607666015625}, {"start": 9.26, "end": 9.84, "word": " thin", "probability": 0.52783203125}, {"start": 9.84, "end": 10.3, "word": " lens", "probability": 0.80859375}, {"start": 10.3, "end": 11.66, "word": " approximation.", "probability": 0.89697265625}, {"start": 13.18, "end": 13.8, "word": " The", "probability": 0.83740234375}, {"start": 13.8, "end": 14.54, "word": " lensmaker's", "probability": 0.5634765625}, {"start": 14.54, "end": 14.96, "word": " equation", "probability": 0.966796875}, {"start": 14.96, "end": 15.52, "word": " deals", "probability": 0.92431640625}, {"start": 15.52, "end": 15.78, "word": " with", "probability": 0.9130859375}, {"start": 15.78, "end": 15.98, "word": " a", "probability": 0.96240234375}, {"start": 15.98, "end": 16.22, "word": " single", "probability": 0.94580078125}, {"start": 16.22, "end": 16.8, "word": " refracting", "probability": 0.7646484375}, {"start": 16.8, "end": 17.26, "word": " surface,", "probability": 0.84228515625}, {"start": 17.86, "end": 18.08, "word": " but", "probability": 0.88525390625}, {"start": 18.08, "end": 18.32, "word": " of", "probability": 0.82861328125}, {"start": 18.32, "end": 18.66, "word": " course", "probability": 0.9580078125}, {"start": 18.66, "end": 19.08, "word": " lenses", "probability": 0.72412109375}, {"start": 19.08, "end": 19.44, "word": " have", "probability": 0.93701171875}, {"start": 19.44, "end": 19.74, "word": " two", "probability": 0.90576171875}, {"start": 19.74, "end": 20.34, "word": " surfaces.", "probability": 0.96337890625}, {"start": 20.98, "end": 21.1, "word": " In", "probability": 0.132568359375}, {"start": 21.1, "end": 21.22, "word": " other", "probability": 0.82958984375}, {"start": 21.22, "end": 21.22, "word": " words,", "probability": 0.875}, {"start": 21.94, "end": 22.26, "word": " the", "probability": 0.84912109375}, {"start": 22.26, "end": 22.78, "word": " lensmaker", "probability": 0.88818359375}, {"start": 22.78, "end": 23.32, "word": " equation", "probability": 0.57373046875}, {"start": 23.32, "end": 23.54, "word": " has", "probability": 0.348876953125}, {"start": 23.54, "end": 23.68, "word": " been", "probability": 0.9033203125}, {"start": 23.68, "end": 24.24, "word": " derived", "probability": 0.17578125}, {"start": 24.24, "end": 24.88, "word": " and", "probability": 0.609375}, {"start": 24.88, "end": 25.78, "word": " deals", "probability": 0.38134765625}, {"start": 25.78, "end": 26.36, "word": " with", "probability": 0.904296875}, {"start": 26.36, "end": 26.6, "word": " a", "probability": 0.908203125}, {"start": 26.6, "end": 26.94, "word": " single", "probability": 0.935546875}, {"start": 26.94, "end": 27.58, "word": " refracting", "probability": 0.85009765625}, {"start": 27.58, "end": 28.02, "word": " surface,", "probability": 0.8974609375}, {"start": 28.14, "end": 28.2, "word": " which", "probability": 0.436279296875}, {"start": 28.2, "end": 28.46, "word": " means", "probability": 0.81494140625}, {"start": 28.46, "end": 28.7, "word": " that", "probability": 0.65771484375}, {"start": 28.7, "end": 28.96, "word": " I", "probability": 0.724609375}, {"start": 28.96, "end": 28.96, "word": " have", "probability": 0.9365234375}, {"start": 28.96, "end": 29.06, "word": " a", "probability": 0.85400390625}, {"start": 29.06, "end": 29.34, "word": " glass", "probability": 0.90087890625}, {"start": 29.34, "end": 29.7, "word": " rod", "probability": 0.85986328125}], "temperature": 1.0}, {"id": 2, "seek": 5191, "start": 30.03, "end": 51.91, "text": "وفي single reflecting surface و الصورة هتتكون داخل الزجاج وفي single reflecting surface وصورة هتتكون داخل الزجاج وفي single reflecting surface وصورة هتتكون داخل الزجاج وفي single reflecting surface وصورة هتتكون داخل الزجاج وفي single reflecting surface وصورة هتتكون داخل الزجاج وفي single reflecting surface وصورة هتتكون داخل الزجاج وفي single reflecting surface وصورة هتتكون داخل الزجاج وفي single reflecting surface وصورة هتتكون داخل الزجاج وفي single reflecting surface وصورة هتتكون داخل الزجاج وفي single reflecting surface وصورة هتتكون داخل الزجاج وفي single reflecting surface وصورة هتتكون داخل الزجاج وفي single reflecting", "tokens": [2407, 41185, 2167, 23543, 3753, 4032, 31767, 13063, 3660, 8032, 2655, 2655, 30544, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4032, 41185, 2167, 23543, 3753, 4032, 9381, 13063, 3660, 8032, 2655, 2655, 30544, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4032, 41185, 2167, 23543, 3753, 4032, 9381, 13063, 3660, 8032, 2655, 2655, 30544, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4032, 41185, 2167, 23543, 3753, 4032, 9381, 13063, 3660, 8032, 2655, 2655, 30544, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4032, 41185, 2167, 23543, 3753, 4032, 9381, 13063, 3660, 8032, 2655, 2655, 30544, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4032, 41185, 2167, 23543, 3753, 4032, 9381, 13063, 3660, 8032, 2655, 2655, 30544, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4032, 41185, 2167, 23543, 3753, 4032, 9381, 13063, 3660, 8032, 2655, 2655, 30544, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4032, 41185, 2167, 23543, 3753, 4032, 9381, 13063, 3660, 8032, 2655, 2655, 30544, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4032, 41185, 2167, 23543, 3753, 4032, 9381, 13063, 3660, 8032, 2655, 2655, 30544, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4032, 41185, 2167, 23543, 3753, 4032, 9381, 13063, 3660, 8032, 2655, 2655, 30544, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4032, 41185, 2167, 23543, 3753, 4032, 9381, 13063, 3660, 8032, 2655, 2655, 30544, 11778, 47283, 1211, 6024, 110, 7435, 26108, 4032, 41185, 2167, 23543], "avg_logprob": -0.09194444232516819, "compression_ratio": 9.070707070707071, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 30.03, "end": 30.37, "word": "وفي", "probability": 0.29632568359375}, {"start": 30.37, "end": 30.73, "word": " single", "probability": 0.697265625}, {"start": 30.73, "end": 31.25, "word": " reflecting", "probability": 0.810546875}, {"start": 31.25, "end": 31.75, "word": " surface", "probability": 0.671875}, {"start": 31.75, "end": 31.95, "word": " و", "probability": 0.84814453125}, {"start": 31.95, "end": 32.39, "word": " الصورة", "probability": 0.8601888020833334}, {"start": 32.39, "end": 33.01, "word": " هتتكون", "probability": 0.9053955078125}, {"start": 33.01, "end": 33.97, "word": " داخل", "probability": 0.9734700520833334}, {"start": 33.97, "end": 34.83, "word": " الزجاج", "probability": 0.7841796875}, {"start": 34.83, "end": 38.63, "word": " وفي", "probability": 0.4134521484375}, {"start": 38.63, "end": 42.11, "word": " single", "probability": 0.85107421875}, {"start": 42.11, "end": 42.45, "word": " reflecting", "probability": 0.91015625}, {"start": 42.45, "end": 42.47, "word": " surface", "probability": 0.9189453125}, {"start": 42.47, "end": 42.47, "word": " وصورة", "probability": 0.82757568359375}, {"start": 42.47, "end": 42.47, "word": " هتتكون", "probability": 0.97216796875}, {"start": 42.47, "end": 42.47, "word": " داخل", "probability": 0.9586588541666666}, {"start": 42.47, "end": 42.71, "word": " الزجاج", "probability": 0.9429931640625}, {"start": 42.71, "end": 43.11, "word": " وفي", "probability": 0.6412353515625}, {"start": 43.11, "end": 43.11, "word": " single", "probability": 0.95703125}, {"start": 43.11, "end": 43.11, "word": " reflecting", "probability": 0.9609375}, {"start": 43.11, "end": 43.11, "word": " surface", "probability": 0.9248046875}, {"start": 43.11, "end": 43.11, "word": " وصورة", "probability": 0.977294921875}, {"start": 43.11, "end": 43.11, "word": " هتتكون", "probability": 0.9927978515625}, {"start": 43.11, "end": 43.11, "word": " داخل", "probability": 0.9842122395833334}, {"start": 43.11, "end": 43.11, "word": " الزجاج", "probability": 0.9654541015625}, {"start": 43.11, "end": 43.31, "word": " وفي", "probability": 0.56927490234375}, {"start": 43.31, "end": 43.31, "word": " single", "probability": 0.970703125}, {"start": 43.31, "end": 43.31, "word": " reflecting", "probability": 0.96728515625}, {"start": 43.31, "end": 43.31, "word": " surface", "probability": 0.919921875}, {"start": 43.31, "end": 43.75, "word": " وصورة", "probability": 0.9921875}, {"start": 43.75, "end": 43.75, "word": " هتتكون", "probability": 0.9940185546875}, {"start": 43.75, "end": 43.75, "word": " داخل", "probability": 0.9884440104166666}, {"start": 43.75, "end": 43.75, "word": " الزجاج", "probability": 0.9615478515625}, {"start": 43.75, "end": 43.75, "word": " وفي", "probability": 0.6297607421875}, {"start": 43.75, "end": 43.75, "word": " single", "probability": 0.9755859375}, {"start": 43.75, "end": 43.75, "word": " reflecting", "probability": 0.966796875}, {"start": 43.75, "end": 43.75, "word": " surface", "probability": 0.91748046875}, {"start": 43.75, "end": 43.75, "word": " وصورة", "probability": 0.994140625}, {"start": 43.75, "end": 43.75, "word": " هتتكون", "probability": 0.992919921875}, {"start": 43.75, "end": 43.75, "word": " داخل", "probability": 0.9884440104166666}, {"start": 43.75, "end": 43.75, "word": " الزجاج", "probability": 0.958251953125}, {"start": 43.75, "end": 43.75, "word": " وفي", "probability": 0.734619140625}, {"start": 43.75, "end": 43.75, "word": " single", "probability": 0.97802734375}, {"start": 43.75, "end": 43.75, "word": " reflecting", "probability": 0.96484375}, {"start": 43.75, "end": 43.75, "word": " surface", "probability": 0.91748046875}, {"start": 43.75, "end": 43.75, "word": " وصورة", "probability": 0.9952392578125}, {"start": 43.75, "end": 43.75, "word": " هتتكون", "probability": 0.9908447265625}, {"start": 43.75, "end": 43.75, "word": " داخل", "probability": 0.9873046875}, {"start": 43.75, "end": 43.75, "word": " الزجاج", "probability": 0.9583740234375}, {"start": 43.75, "end": 43.75, "word": " وفي", "probability": 0.8193359375}, {"start": 43.75, "end": 43.75, "word": " single", "probability": 0.9794921875}, {"start": 43.75, "end": 43.75, "word": " reflecting", "probability": 0.96044921875}, {"start": 43.75, "end": 43.75, "word": " surface", "probability": 0.91552734375}, {"start": 43.75, "end": 43.75, "word": " وصورة", "probability": 0.995361328125}, {"start": 43.75, "end": 43.85, "word": " هتتكون", "probability": 0.988525390625}, {"start": 43.85, "end": 43.85, "word": " داخل", "probability": 0.9856770833333334}, {"start": 43.85, "end": 43.85, "word": " الزجاج", "probability": 0.95703125}, {"start": 43.85, "end": 43.85, "word": " وفي", "probability": 0.890380859375}, {"start": 43.85, "end": 43.85, "word": " single", "probability": 0.98095703125}, {"start": 43.85, "end": 43.85, "word": " reflecting", "probability": 0.955078125}, {"start": 43.85, "end": 43.85, "word": " surface", "probability": 0.91455078125}, {"start": 43.85, "end": 43.85, "word": " وصورة", "probability": 0.9952392578125}, {"start": 43.85, "end": 43.85, "word": " هتتكون", "probability": 0.984375}, {"start": 43.85, "end": 43.85, "word": " داخل", "probability": 0.9835611979166666}, {"start": 43.85, "end": 43.85, "word": " الزجاج", "probability": 0.951904296875}, {"start": 43.85, "end": 43.85, "word": " وفي", "probability": 0.924560546875}, {"start": 43.85, "end": 43.85, "word": " single", "probability": 0.98193359375}, {"start": 43.85, "end": 43.85, "word": " reflecting", "probability": 0.94677734375}, {"start": 43.85, "end": 43.85, "word": " surface", "probability": 0.912109375}, {"start": 43.85, "end": 43.85, "word": " وصورة", "probability": 0.9951171875}, {"start": 43.85, "end": 43.85, "word": " هتتكون", "probability": 0.9783935546875}, {"start": 43.85, "end": 43.85, "word": " داخل", "probability": 0.9773763020833334}, {"start": 43.85, "end": 43.85, "word": " الزجاج", "probability": 0.9486083984375}, {"start": 43.85, "end": 43.85, "word": " وفي", "probability": 0.932373046875}, {"start": 43.85, "end": 43.85, "word": " single", "probability": 0.98193359375}, {"start": 43.85, "end": 43.85, "word": " reflecting", "probability": 0.94091796875}, {"start": 43.85, "end": 43.85, "word": " surface", "probability": 0.9072265625}, {"start": 43.85, "end": 43.85, "word": " وصورة", "probability": 0.9945068359375}, {"start": 43.85, "end": 47.91, "word": " هتتكون", "probability": 0.9677734375}, {"start": 47.91, "end": 48.27, "word": " داخل", "probability": 0.966796875}, {"start": 48.27, "end": 49.07, "word": " الزجاج", "probability": 0.943603515625}, {"start": 49.07, "end": 49.19, "word": " وفي", "probability": 0.932861328125}, {"start": 49.19, "end": 49.49, "word": " single", "probability": 0.98095703125}, {"start": 49.49, "end": 49.85, "word": " reflecting", "probability": 0.935546875}, {"start": 49.85, "end": 50.19, "word": " surface", "probability": 0.90673828125}, {"start": 50.19, "end": 50.99, "word": " وصورة", "probability": 0.993896484375}, {"start": 50.99, "end": 50.99, "word": " هتتكون", "probability": 0.9415283203125}, {"start": 50.99, "end": 51.05, "word": " داخل", "probability": 0.9514973958333334}, {"start": 51.05, "end": 51.05, "word": " الزجاج", "probability": 0.8782958984375}, {"start": 51.05, "end": 51.05, "word": " وفي", "probability": 0.90576171875}, {"start": 51.05, "end": 51.25, "word": " single", "probability": 0.97802734375}, {"start": 51.25, "end": 51.91, "word": " reflecting", "probability": 0.93408203125}], "temperature": 1.0}, {"id": 3, "seek": 6891, "start": 52.93, "end": 68.91, "text": "According to the lens maker's equation, when light from an object strikes the front surface of a lens, its reduced divergence changes by the amount equal to the power of the front surface, which is P front.", "tokens": [47943, 3357, 281, 264, 6765, 17127, 311, 5367, 11, 562, 1442, 490, 364, 2657, 16750, 264, 1868, 3753, 295, 257, 6765, 11, 1080, 9212, 47387, 2962, 538, 264, 2372, 2681, 281, 264, 1347, 295, 264, 1868, 3753, 11, 597, 307, 430, 1868, 13], "avg_logprob": -0.19797585565935483, "compression_ratio": 1.4609929078014185, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 52.93, "end": 53.57, "word": "According", "probability": 0.6976318359375}, {"start": 53.57, "end": 53.81, "word": " to", "probability": 0.9755859375}, {"start": 53.81, "end": 53.97, "word": " the", "probability": 0.88037109375}, {"start": 53.97, "end": 54.19, "word": " lens", "probability": 0.6552734375}, {"start": 54.19, "end": 54.75, "word": " maker's", "probability": 0.5599365234375}, {"start": 54.75, "end": 55.25, "word": " equation,", "probability": 0.94482421875}, {"start": 55.95, "end": 56.07, "word": " when", "probability": 0.92822265625}, {"start": 56.07, "end": 56.41, "word": " light", "probability": 0.84033203125}, {"start": 56.41, "end": 56.71, "word": " from", "probability": 0.8837890625}, {"start": 56.71, "end": 57.03, "word": " an", "probability": 0.9580078125}, {"start": 57.03, "end": 57.47, "word": " object", "probability": 0.97509765625}, {"start": 57.47, "end": 58.13, "word": " strikes", "probability": 0.83447265625}, {"start": 58.13, "end": 58.67, "word": " the", "probability": 0.9267578125}, {"start": 58.67, "end": 59.17, "word": " front", "probability": 0.9541015625}, {"start": 59.17, "end": 60.53, "word": " surface", "probability": 0.86181640625}, {"start": 60.53, "end": 60.81, "word": " of", "probability": 0.97607421875}, {"start": 60.81, "end": 61.03, "word": " a", "probability": 0.98974609375}, {"start": 61.03, "end": 61.31, "word": " lens,", "probability": 0.9140625}, {"start": 61.85, "end": 62.09, "word": " its", "probability": 0.8427734375}, {"start": 62.09, "end": 62.57, "word": " reduced", "probability": 0.962890625}, {"start": 62.57, "end": 63.03, "word": " divergence", "probability": 0.349609375}, {"start": 63.03, "end": 63.83, "word": " changes", "probability": 0.90087890625}, {"start": 63.83, "end": 64.11, "word": " by", "probability": 0.97412109375}, {"start": 64.11, "end": 64.31, "word": " the", "probability": 0.8427734375}, {"start": 64.31, "end": 64.71, "word": " amount", "probability": 0.91455078125}, {"start": 64.71, "end": 65.09, "word": " equal", "probability": 0.90234375}, {"start": 65.09, "end": 65.37, "word": " to", "probability": 0.97509765625}, {"start": 65.37, "end": 65.53, "word": " the", "probability": 0.9287109375}, {"start": 65.53, "end": 65.81, "word": " power", "probability": 0.896484375}, {"start": 65.81, "end": 66.03, "word": " of", "probability": 0.9736328125}, {"start": 66.03, "end": 66.19, "word": " the", "probability": 0.9091796875}, {"start": 66.19, "end": 66.47, "word": " front", "probability": 0.94580078125}, {"start": 66.47, "end": 67.07, "word": " surface,", "probability": 0.89453125}, {"start": 67.61, "end": 67.73, "word": " which", "probability": 0.69384765625}, {"start": 67.73, "end": 68.01, "word": " is", "probability": 0.94287109375}, {"start": 68.01, "end": 68.49, "word": " P", "probability": 0.69921875}, {"start": 68.49, "end": 68.91, "word": " front.", "probability": 0.515625}], "temperature": 1.0}, {"id": 4, "seek": 8850, "start": 69.54, "end": 88.5, "text": "Divergence continues to change as the light moves from the front to the back surface. This is known as divergence change on transfer. We will explain all of this now. First of all, to understand which lens I have.", "tokens": [35, 1837, 15260, 6515, 281, 1319, 382, 264, 1442, 6067, 490, 264, 1868, 281, 264, 646, 3753, 13, 639, 307, 2570, 382, 47387, 1319, 322, 5003, 13, 492, 486, 2903, 439, 295, 341, 586, 13, 2386, 295, 439, 11, 281, 1223, 597, 6765, 286, 362, 13], "avg_logprob": -0.4115691565452738, "compression_ratio": 1.4105960264900663, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 69.54, "end": 70.24, "word": "Divergence", "probability": 0.74658203125}, {"start": 70.24, "end": 70.72, "word": " continues", "probability": 0.88232421875}, {"start": 70.72, "end": 71.02, "word": " to", "probability": 0.9697265625}, {"start": 71.02, "end": 71.4, "word": " change", "probability": 0.90380859375}, {"start": 71.4, "end": 71.64, "word": " as", "probability": 0.94677734375}, {"start": 71.64, "end": 71.84, "word": " the", "probability": 0.90966796875}, {"start": 71.84, "end": 72.04, "word": " light", "probability": 0.86572265625}, {"start": 72.04, "end": 72.38, "word": " moves", "probability": 0.88818359375}, {"start": 72.38, "end": 72.68, "word": " from", "probability": 0.88671875}, {"start": 72.68, "end": 72.9, "word": " the", "probability": 0.85546875}, {"start": 72.9, "end": 73.24, "word": " front", "probability": 0.96484375}, {"start": 73.24, "end": 73.42, "word": " to", "probability": 0.96728515625}, {"start": 73.42, "end": 73.58, "word": " the", "probability": 0.9052734375}, {"start": 73.58, "end": 73.8, "word": " back", "probability": 0.849609375}, {"start": 73.8, "end": 74.3, "word": " surface.", "probability": 0.8232421875}, {"start": 74.9, "end": 75.1, "word": " This", "probability": 0.73388671875}, {"start": 75.1, "end": 75.34, "word": " is", "probability": 0.9384765625}, {"start": 75.34, "end": 75.6, "word": " known", "probability": 0.76513671875}, {"start": 75.6, "end": 75.9, "word": " as", "probability": 0.96630859375}, {"start": 75.9, "end": 76.32, "word": " divergence", "probability": 0.58349609375}, {"start": 76.32, "end": 77.46, "word": " change", "probability": 0.8173828125}, {"start": 77.46, "end": 77.74, "word": " on", "probability": 0.888671875}, {"start": 77.74, "end": 78.28, "word": " transfer.", "probability": 0.85107421875}, {"start": 78.42, "end": 78.64, "word": " We", "probability": 0.1832275390625}, {"start": 78.64, "end": 79.44, "word": " will", "probability": 0.671875}, {"start": 79.44, "end": 79.78, "word": " explain", "probability": 0.73046875}, {"start": 79.78, "end": 79.86, "word": " all", "probability": 0.429443359375}, {"start": 79.86, "end": 79.86, "word": " of", "probability": 0.4248046875}, {"start": 79.86, "end": 79.86, "word": " this", "probability": 0.58154296875}, {"start": 79.86, "end": 81.06, "word": " now.", "probability": 0.408203125}, {"start": 82.62, "end": 83.3, "word": " First", "probability": 0.51025390625}, {"start": 83.3, "end": 83.66, "word": " of", "probability": 0.446533203125}, {"start": 83.66, "end": 83.66, "word": " all,", "probability": 0.94775390625}, {"start": 84.2, "end": 85.46, "word": " to", "probability": 0.2001953125}, {"start": 85.46, "end": 86.24, "word": " understand", "probability": 0.65966796875}, {"start": 86.24, "end": 87.82, "word": " which", "probability": 0.62548828125}, {"start": 87.82, "end": 87.9, "word": " lens", "probability": 0.6103515625}, {"start": 87.9, "end": 87.96, "word": " I", "probability": 0.76318359375}, {"start": 87.96, "end": 88.5, "word": " have.", "probability": 0.7412109375}], "temperature": 1.0}, {"id": 5, "seek": 10973, "start": 91.21, "end": 109.73, "text": "الها سطح أمامي و سطح خلفي It has a front surface and a rear surface ومعروف إنه أي عدسة .. أي عدسة أو refracting surface .. Refracting surface .. لها قوة معينة This force is equal to N minus N divided by R .. N minus N divided by R .. We say as follows", "tokens": [6027, 11296, 8608, 9566, 5016, 5551, 2304, 10943, 1829, 4032, 8608, 9566, 5016, 16490, 46538, 1829, 467, 575, 257, 1868, 3753, 293, 257, 8250, 3753, 4032, 2304, 3615, 32887, 5172, 36145, 3224, 36632, 6225, 3215, 3794, 3660, 4386, 36632, 6225, 3215, 3794, 3660, 34051, 45353, 278, 3753, 4386, 16957, 1897, 278, 3753, 4386, 5296, 11296, 12174, 2407, 3660, 20449, 9957, 3660, 639, 3464, 307, 2681, 281, 426, 3175, 426, 6666, 538, 497, 4386, 426, 3175, 426, 6666, 538, 497, 4386, 492, 584, 382, 10002], "avg_logprob": -0.45257354063146255, "compression_ratio": 1.5721649484536082, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 91.21, "end": 91.55, "word": "الها", "probability": 0.514312744140625}, {"start": 91.55, "end": 91.91, "word": " سطح", "probability": 0.9601236979166666}, {"start": 91.91, "end": 92.49, "word": " أمامي", "probability": 0.9564208984375}, {"start": 92.49, "end": 92.85, "word": " و", "probability": 0.95947265625}, {"start": 92.85, "end": 93.13, "word": " سطح", "probability": 0.8779296875}, {"start": 93.13, "end": 93.69, "word": " خلفي", "probability": 0.7438151041666666}, {"start": 93.69, "end": 93.87, "word": " It", "probability": 0.284912109375}, {"start": 93.87, "end": 93.87, "word": " has", "probability": 0.89990234375}, {"start": 93.87, "end": 93.87, "word": " a", "probability": 0.6904296875}, {"start": 93.87, "end": 93.87, "word": " front", "probability": 0.814453125}, {"start": 93.87, "end": 93.87, "word": " surface", "probability": 0.1923828125}, {"start": 93.87, "end": 93.87, "word": " and", "probability": 0.9541015625}, {"start": 93.87, "end": 93.87, "word": " a", "probability": 0.80859375}, {"start": 93.87, "end": 93.87, "word": " rear", "probability": 0.48486328125}, {"start": 93.87, "end": 93.87, "word": " surface", "probability": 0.85302734375}, {"start": 93.87, "end": 94.55, "word": " ومعروف", "probability": 0.8826171875}, {"start": 94.55, "end": 94.83, "word": " إنه", "probability": 0.48681640625}, {"start": 94.83, "end": 95.05, "word": " أي", "probability": 0.923828125}, {"start": 95.05, "end": 95.65, "word": " عدسة", "probability": 0.979248046875}, {"start": 95.65, "end": 95.83, "word": " ..", "probability": 0.455078125}, {"start": 95.83, "end": 96.09, "word": " أي", "probability": 0.55908203125}, {"start": 96.09, "end": 96.51, "word": " عدسة", "probability": 0.9925537109375}, {"start": 96.51, "end": 96.69, "word": " أو", "probability": 0.65478515625}, {"start": 96.69, "end": 97.39, "word": " refracting", "probability": 0.798583984375}, {"start": 97.39, "end": 97.97, "word": " surface", "probability": 0.71484375}, {"start": 97.97, "end": 97.97, "word": " ..", "probability": 0.51953125}, {"start": 97.97, "end": 98.99, "word": " Refracting", "probability": 0.6904703776041666}, {"start": 98.99, "end": 99.71, "word": " surface", "probability": 0.68115234375}, {"start": 99.71, "end": 99.95, "word": " ..", "probability": 0.3642578125}, {"start": 99.95, "end": 101.79, "word": " لها", "probability": 0.56671142578125}, {"start": 101.79, "end": 102.73, "word": " قوة", "probability": 0.99365234375}, {"start": 102.73, "end": 103.39, "word": " معينة", "probability": 0.9873046875}, {"start": 103.39, "end": 103.83, "word": " This", "probability": 0.18359375}, {"start": 103.83, "end": 104.17, "word": " force", "probability": 0.435546875}, {"start": 104.17, "end": 104.39, "word": " is", "probability": 0.55615234375}, {"start": 104.39, "end": 104.63, "word": " equal", "probability": 0.82421875}, {"start": 104.63, "end": 104.77, "word": " to", "probability": 0.97216796875}, {"start": 104.77, "end": 104.89, "word": " N", "probability": 0.1690673828125}, {"start": 104.89, "end": 105.27, "word": " minus", "probability": 0.169189453125}, {"start": 105.27, "end": 106.03, "word": " N", "probability": 0.9072265625}, {"start": 106.03, "end": 106.39, "word": " divided", "probability": 0.1649169921875}, {"start": 106.39, "end": 106.69, "word": " by", "probability": 0.98046875}, {"start": 106.69, "end": 107.01, "word": " R", "probability": 0.9775390625}, {"start": 107.01, "end": 107.15, "word": " ..", "probability": 0.2086181640625}, {"start": 107.15, "end": 107.29, "word": " N", "probability": 0.56640625}, {"start": 107.29, "end": 107.59, "word": " minus", "probability": 0.96142578125}, {"start": 107.59, "end": 108.31, "word": " N", "probability": 0.98974609375}, {"start": 108.31, "end": 108.51, "word": " divided", "probability": 0.810546875}, {"start": 108.51, "end": 108.57, "word": " by", "probability": 0.9716796875}, {"start": 108.57, "end": 108.83, "word": " R", "probability": 0.9990234375}, {"start": 108.83, "end": 108.83, "word": " ..", "probability": 0.392578125}, {"start": 108.83, "end": 109.01, "word": " We", "probability": 0.25732421875}, {"start": 109.01, "end": 109.19, "word": " say", "probability": 0.6025390625}, {"start": 109.19, "end": 109.37, "word": " as", "probability": 0.55810546875}, {"start": 109.37, "end": 109.73, "word": " follows", "probability": 0.70556640625}], "temperature": 1.0}, {"id": 6, "seek": 13047, "start": 111.34, "end": 130.48, "text": "هي أنا عندي single refracting service، هاي نصف قطرها، هاي نصف قطرها، قوتها ان شرطة ناقص N على R، بتغير نصف القطر، بتغير اللي هو قوة العدسة، واللي تقاس بيد ديوتر، أيضا لما العدسة بيكونيلها سطحين", "tokens": [3224, 1829, 41850, 18871, 16254, 2167, 45353, 278, 2643, 12399, 8032, 47302, 8717, 9381, 5172, 12174, 9566, 2288, 11296, 12399, 8032, 47302, 8717, 9381, 5172, 12174, 9566, 2288, 11296, 12399, 12174, 35473, 11296, 16472, 13412, 2288, 9566, 3660, 8717, 995, 4587, 9381, 426, 15844, 497, 12399, 39894, 17082, 13546, 8717, 9381, 5172, 25062, 9566, 2288, 12399, 39894, 17082, 13546, 13672, 1829, 31439, 12174, 2407, 3660, 18863, 3215, 3794, 3660, 12399, 16070, 20292, 6055, 4587, 32277, 4724, 25708, 11778, 1829, 2407, 2655, 2288, 12399, 36632, 11242, 995, 5296, 15042, 18863, 3215, 3794, 3660, 4724, 1829, 30544, 26895, 11296, 8608, 9566, 5016, 9957], "avg_logprob": -0.23299632878864512, "compression_ratio": 1.6979166666666667, "no_speech_prob": 0.0, "words": [{"start": 111.34, "end": 111.58, "word": "هي", "probability": 0.219512939453125}, {"start": 111.58, "end": 111.74, "word": " أنا", "probability": 0.59375}, {"start": 111.74, "end": 112.02, "word": " عندي", "probability": 0.81494140625}, {"start": 112.02, "end": 112.36, "word": " single", "probability": 0.84228515625}, {"start": 112.36, "end": 112.98, "word": " refracting", "probability": 0.890380859375}, {"start": 112.98, "end": 114.0, "word": " service،", "probability": 0.50634765625}, {"start": 114.0, "end": 114.28, "word": " هاي", "probability": 0.753662109375}, {"start": 114.28, "end": 114.6, "word": " نصف", "probability": 0.9923502604166666}, {"start": 114.6, "end": 115.32, "word": " قطرها،", "probability": 0.93349609375}, {"start": 115.32, "end": 115.54, "word": " هاي", "probability": 0.78955078125}, {"start": 115.54, "end": 115.88, "word": " نصف", "probability": 0.9983723958333334}, {"start": 115.88, "end": 116.84, "word": " قطرها،", "probability": 0.946484375}, {"start": 116.84, "end": 117.48, "word": " قوتها", "probability": 0.984375}, {"start": 117.48, "end": 117.8, "word": " ان", "probability": 0.10345458984375}, {"start": 117.8, "end": 118.56, "word": " شرطة", "probability": 0.7960205078125}, {"start": 118.56, "end": 119.3, "word": " ناقص", "probability": 0.9498291015625}, {"start": 119.3, "end": 119.6, "word": " N", "probability": 0.5439453125}, {"start": 119.6, "end": 120.08, "word": " على", "probability": 0.77490234375}, {"start": 120.08, "end": 120.96, "word": " R،", "probability": 0.78271484375}, {"start": 120.96, "end": 121.4, "word": " بتغير", "probability": 0.801513671875}, {"start": 121.4, "end": 121.74, "word": " نصف", "probability": 0.9967447916666666}, {"start": 121.74, "end": 122.22, "word": " القطر،", "probability": 0.95068359375}, {"start": 122.22, "end": 122.76, "word": " بتغير", "probability": 0.98193359375}, {"start": 122.76, "end": 123.96, "word": " اللي", "probability": 0.967529296875}, {"start": 123.96, "end": 124.18, "word": " هو", "probability": 0.990234375}, {"start": 124.18, "end": 124.64, "word": " قوة", "probability": 0.8551432291666666}, {"start": 124.64, "end": 126.06, "word": " العدسة،", "probability": 0.90732421875}, {"start": 126.06, "end": 126.88, "word": " واللي", "probability": 0.784423828125}, {"start": 126.88, "end": 127.3, "word": " تقاس", "probability": 0.9358723958333334}, {"start": 127.3, "end": 127.96, "word": " بيد", "probability": 0.5760498046875}, {"start": 127.96, "end": 128.44, "word": " ديوتر،", "probability": 0.5828653971354166}, {"start": 128.44, "end": 128.78, "word": " أيضا", "probability": 0.8556315104166666}, {"start": 128.78, "end": 128.98, "word": " لما", "probability": 0.901611328125}, {"start": 128.98, "end": 129.42, "word": " العدسة", "probability": 0.9957275390625}, {"start": 129.42, "end": 129.94, "word": " بيكونيلها", "probability": 0.850927734375}, {"start": 129.94, "end": 130.48, "word": " سطحين", "probability": 0.9676513671875}], "temperature": 1.0}, {"id": 7, "seek": 15678, "start": 131.34, "end": 156.78, "text": "Also it has a certain force, it has a certain force, and this force is also measured with the diopter Okay, now I have two surfaces, there is a total force for the lens, there is a total force for the lens, and I have two surfaces, these two surfaces, each of them has a force Okay, now the question that arises itself, for example, this force of the lens as a whole, for example, plus ten diopters", "tokens": [9171, 539, 309, 575, 257, 1629, 3464, 11, 309, 575, 257, 1629, 3464, 11, 293, 341, 3464, 307, 611, 12690, 365, 264, 1026, 404, 391, 1033, 11, 586, 286, 362, 732, 16130, 11, 456, 307, 257, 3217, 3464, 337, 264, 6765, 11, 456, 307, 257, 3217, 3464, 337, 264, 6765, 11, 293, 286, 362, 732, 16130, 11, 613, 732, 16130, 11, 1184, 295, 552, 575, 257, 3464, 1033, 11, 586, 264, 1168, 300, 27388, 2564, 11, 337, 1365, 11, 341, 3464, 295, 264, 6765, 382, 257, 1379, 11, 337, 1365, 11, 1804, 2064, 1026, 404, 1559], "avg_logprob": -0.3759664948453608, "compression_ratio": 2.1748633879781423, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 131.34, "end": 131.78, "word": "Also", "probability": 0.56048583984375}, {"start": 131.78, "end": 131.92, "word": " it", "probability": 0.480224609375}, {"start": 131.92, "end": 132.02, "word": " has", "probability": 0.9111328125}, {"start": 132.02, "end": 132.16, "word": " a", "probability": 0.8271484375}, {"start": 132.16, "end": 132.74, "word": " certain", "probability": 0.459228515625}, {"start": 132.74, "end": 132.74, "word": " force,", "probability": 0.3017578125}, {"start": 133.12, "end": 133.52, "word": " it", "probability": 0.5224609375}, {"start": 133.52, "end": 133.68, "word": " has", "probability": 0.9404296875}, {"start": 133.68, "end": 134.08, "word": " a", "probability": 0.97705078125}, {"start": 134.08, "end": 134.34, "word": " certain", "probability": 0.8486328125}, {"start": 134.34, "end": 134.34, "word": " force,", "probability": 0.94140625}, {"start": 134.8, "end": 135.12, "word": " and", "probability": 0.89794921875}, {"start": 135.12, "end": 135.4, "word": " this", "probability": 0.8212890625}, {"start": 135.4, "end": 135.78, "word": " force", "probability": 0.9208984375}, {"start": 135.78, "end": 136.8, "word": " is", "probability": 0.8408203125}, {"start": 136.8, "end": 136.8, "word": " also", "probability": 0.8154296875}, {"start": 136.8, "end": 137.3, "word": " measured", "probability": 0.394775390625}, {"start": 137.3, "end": 137.76, "word": " with", "probability": 0.377197265625}, {"start": 137.76, "end": 137.84, "word": " the", "probability": 0.435302734375}, {"start": 137.84, "end": 138.24, "word": " diopter", "probability": 0.8357747395833334}, {"start": 138.24, "end": 138.9, "word": " Okay,", "probability": 0.2548828125}, {"start": 139.2, "end": 139.54, "word": " now", "probability": 0.8447265625}, {"start": 139.54, "end": 139.74, "word": " I", "probability": 0.94775390625}, {"start": 139.74, "end": 140.1, "word": " have", "probability": 0.9345703125}, {"start": 140.1, "end": 140.3, "word": " two", "probability": 0.912109375}, {"start": 140.3, "end": 140.52, "word": " surfaces,", "probability": 0.849609375}, {"start": 140.98, "end": 141.16, "word": " there", "probability": 0.344970703125}, {"start": 141.16, "end": 141.32, "word": " is", "probability": 0.640625}, {"start": 141.32, "end": 141.6, "word": " a", "probability": 0.3359375}, {"start": 141.6, "end": 141.8, "word": " total", "probability": 0.87841796875}, {"start": 141.8, "end": 141.88, "word": " force", "probability": 0.64453125}, {"start": 141.88, "end": 142.12, "word": " for", "probability": 0.5712890625}, {"start": 142.12, "end": 142.54, "word": " the", "probability": 0.86865234375}, {"start": 142.54, "end": 142.54, "word": " lens,", "probability": 0.64453125}, {"start": 142.78, "end": 142.92, "word": " there", "probability": 0.6708984375}, {"start": 142.92, "end": 142.94, "word": " is", "probability": 0.94189453125}, {"start": 142.94, "end": 143.08, "word": " a", "probability": 0.9716796875}, {"start": 143.08, "end": 143.08, "word": " total", "probability": 0.8955078125}, {"start": 143.08, "end": 143.24, "word": " force", "probability": 0.9462890625}, {"start": 143.24, "end": 143.72, "word": " for", "probability": 0.94091796875}, {"start": 143.72, "end": 144.16, "word": " the", "probability": 0.9208984375}, {"start": 144.16, "end": 144.16, "word": " lens,", "probability": 0.896484375}, {"start": 144.56, "end": 144.84, "word": " and", "probability": 0.9423828125}, {"start": 144.84, "end": 145.02, "word": " I", "probability": 0.91015625}, {"start": 145.02, "end": 145.26, "word": " have", "probability": 0.95166015625}, {"start": 145.26, "end": 145.82, "word": " two", "probability": 0.94091796875}, {"start": 145.82, "end": 145.82, "word": " surfaces,", "probability": 0.96484375}, {"start": 146.46, "end": 146.72, "word": " these", "probability": 0.53466796875}, {"start": 146.72, "end": 147.4, "word": " two", "probability": 0.7919921875}, {"start": 147.4, "end": 147.4, "word": " surfaces,", "probability": 0.95703125}, {"start": 147.88, "end": 148.1, "word": " each", "probability": 0.9501953125}, {"start": 148.1, "end": 148.44, "word": " of", "probability": 0.45458984375}, {"start": 148.44, "end": 148.68, "word": " them", "probability": 0.8974609375}, {"start": 148.68, "end": 148.9, "word": " has", "probability": 0.85888671875}, {"start": 148.9, "end": 149.06, "word": " a", "probability": 0.8369140625}, {"start": 149.06, "end": 149.36, "word": " force", "probability": 0.81689453125}, {"start": 149.36, "end": 150.44, "word": " Okay,", "probability": 0.65478515625}, {"start": 150.66, "end": 150.96, "word": " now", "probability": 0.9306640625}, {"start": 150.96, "end": 151.24, "word": " the", "probability": 0.87744140625}, {"start": 151.24, "end": 151.56, "word": " question", "probability": 0.92138671875}, {"start": 151.56, "end": 151.76, "word": " that", "probability": 0.71630859375}, {"start": 151.76, "end": 152.16, "word": " arises", "probability": 0.31689453125}, {"start": 152.16, "end": 152.58, "word": " itself,", "probability": 0.259033203125}, {"start": 152.72, "end": 152.9, "word": " for", "probability": 0.347412109375}, {"start": 152.9, "end": 153.18, "word": " example,", "probability": 0.96142578125}, {"start": 153.24, "end": 153.48, "word": " this", "probability": 0.86962890625}, {"start": 153.48, "end": 153.88, "word": " force", "probability": 0.77001953125}, {"start": 153.88, "end": 154.08, "word": " of", "probability": 0.319091796875}, {"start": 154.08, "end": 154.28, "word": " the", "probability": 0.90185546875}, {"start": 154.28, "end": 154.6, "word": " lens", "probability": 0.8076171875}, {"start": 154.6, "end": 154.84, "word": " as", "probability": 0.7548828125}, {"start": 154.84, "end": 154.9, "word": " a", "probability": 0.9423828125}, {"start": 154.9, "end": 155.06, "word": " whole,", "probability": 0.8642578125}, {"start": 155.14, "end": 155.22, "word": " for", "probability": 0.75048828125}, {"start": 155.22, "end": 155.46, "word": " example,", "probability": 0.96142578125}, {"start": 155.58, "end": 155.82, "word": " plus", "probability": 0.775390625}, {"start": 155.82, "end": 156.24, "word": " ten", "probability": 0.66357421875}, {"start": 156.24, "end": 156.78, "word": " diopters", "probability": 0.8889973958333334}], "temperature": 1.0}, {"id": 8, "seek": 16272, "start": 157.34, "end": 162.72, "text": "Oh, look at this plus ten, this is amazing, it divides ..", "tokens": [3756, 11, 574, 412, 341, 1804, 2064, 11, 341, 307, 2243, 11, 309, 41347, 4386], "avg_logprob": -0.8510741963982582, "compression_ratio": 0.9661016949152542, "no_speech_prob": 0.0, "words": [{"start": 157.34, "end": 157.7, "word": "Oh,", "probability": 0.1851806640625}, {"start": 157.84, "end": 157.92, "word": " look", "probability": 0.33740234375}, {"start": 157.92, "end": 158.06, "word": " at", "probability": 0.60986328125}, {"start": 158.06, "end": 158.26, "word": " this", "probability": 0.6865234375}, {"start": 158.26, "end": 158.58, "word": " plus", "probability": 0.46240234375}, {"start": 158.58, "end": 159.08, "word": " ten,", "probability": 0.75390625}, {"start": 159.28, "end": 159.28, "word": " this", "probability": 0.32421875}, {"start": 159.28, "end": 159.36, "word": " is", "probability": 0.8466796875}, {"start": 159.36, "end": 159.64, "word": " amazing,", "probability": 0.09661865234375}, {"start": 161.66, "end": 161.84, "word": " it", "probability": 0.415771484375}, {"start": 161.84, "end": 162.18, "word": " divides", "probability": 0.51171875}, {"start": 162.18, "end": 162.72, "word": " ..", "probability": 0.72216796875}], "temperature": 1.0}, {"id": 9, "seek": 18545, "start": 162.99, "end": 185.45, "text": "five diopters for the front surface and five diopters for the back surface? Or are they divided unevenly? Or are they divided differently according to the polarity of the light? Before we answer this question, we want to go to an example from public life that explains an approximate matter", "tokens": [18621, 1026, 404, 1559, 337, 264, 1868, 3753, 293, 1732, 1026, 404, 1559, 337, 264, 646, 3753, 30, 1610, 366, 436, 6666, 34022, 356, 30, 1610, 366, 436, 6666, 7614, 4650, 281, 264, 12367, 507, 295, 264, 1442, 30, 4546, 321, 1867, 341, 1168, 11, 321, 528, 281, 352, 281, 364, 1365, 490, 1908, 993, 300, 13948, 364, 30874, 1871], "avg_logprob": -0.5353483411132313, "compression_ratio": 1.6292134831460674, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 162.99, "end": 163.73, "word": "five", "probability": 0.56103515625}, {"start": 163.73, "end": 164.19, "word": " diopters", "probability": 0.7578938802083334}, {"start": 164.19, "end": 164.33, "word": " for", "probability": 0.50732421875}, {"start": 164.33, "end": 164.41, "word": " the", "probability": 0.68310546875}, {"start": 164.41, "end": 164.99, "word": " front", "probability": 0.763671875}, {"start": 164.99, "end": 164.99, "word": " surface", "probability": 0.337158203125}, {"start": 164.99, "end": 165.25, "word": " and", "probability": 0.82666015625}, {"start": 165.25, "end": 165.53, "word": " five", "probability": 0.8779296875}, {"start": 165.53, "end": 165.97, "word": " diopters", "probability": 0.9254557291666666}, {"start": 165.97, "end": 166.13, "word": " for", "probability": 0.93994140625}, {"start": 166.13, "end": 166.57, "word": " the", "probability": 0.91748046875}, {"start": 166.57, "end": 166.81, "word": " back", "probability": 0.515625}, {"start": 166.81, "end": 166.97, "word": " surface?", "probability": 0.80419921875}, {"start": 167.33, "end": 167.73, "word": " Or", "probability": 0.484619140625}, {"start": 167.73, "end": 167.87, "word": " are", "probability": 0.328369140625}, {"start": 167.87, "end": 167.99, "word": " they", "probability": 0.8115234375}, {"start": 167.99, "end": 168.19, "word": " divided", "probability": 0.34228515625}, {"start": 168.19, "end": 169.69, "word": " unevenly?", "probability": 0.77490234375}, {"start": 169.87, "end": 170.51, "word": " Or", "probability": 0.89404296875}, {"start": 170.51, "end": 170.81, "word": " are", "probability": 0.307861328125}, {"start": 170.81, "end": 171.45, "word": " they", "probability": 0.51904296875}, {"start": 171.45, "end": 171.45, "word": " divided", "probability": 0.583984375}, {"start": 171.45, "end": 172.21, "word": " differently", "probability": 0.5869140625}, {"start": 172.21, "end": 172.63, "word": " according", "probability": 0.435546875}, {"start": 172.63, "end": 173.83, "word": " to", "probability": 0.9677734375}, {"start": 173.83, "end": 173.95, "word": " the", "probability": 0.755859375}, {"start": 173.95, "end": 175.03, "word": " polarity", "probability": 0.226165771484375}, {"start": 175.03, "end": 175.87, "word": " of", "probability": 0.69970703125}, {"start": 175.87, "end": 175.95, "word": " the", "probability": 0.50634765625}, {"start": 175.95, "end": 176.15, "word": " light?", "probability": 0.6845703125}, {"start": 176.61, "end": 177.33, "word": " Before", "probability": 0.853515625}, {"start": 177.33, "end": 177.57, "word": " we", "probability": 0.39404296875}, {"start": 177.57, "end": 177.75, "word": " answer", "probability": 0.88427734375}, {"start": 177.75, "end": 178.19, "word": " this", "probability": 0.82666015625}, {"start": 178.19, "end": 178.73, "word": " question,", "probability": 0.919921875}, {"start": 179.13, "end": 179.21, "word": " we", "probability": 0.68408203125}, {"start": 179.21, "end": 179.39, "word": " want", "probability": 0.2261962890625}, {"start": 179.39, "end": 179.49, "word": " to", "probability": 0.96826171875}, {"start": 179.49, "end": 179.65, "word": " go", "probability": 0.529296875}, {"start": 179.65, "end": 179.81, "word": " to", "probability": 0.8544921875}, {"start": 179.81, "end": 180.43, "word": " an", "probability": 0.853515625}, {"start": 180.43, "end": 180.43, "word": " example", "probability": 0.97314453125}, {"start": 180.43, "end": 181.29, "word": " from", "probability": 0.630859375}, {"start": 181.29, "end": 181.45, "word": " public", "probability": 0.42724609375}, {"start": 181.45, "end": 182.01, "word": " life", "probability": 0.67578125}, {"start": 182.01, "end": 182.25, "word": " that", "probability": 0.43408203125}, {"start": 182.25, "end": 182.69, "word": " explains", "probability": 0.423583984375}, {"start": 182.69, "end": 184.25, "word": " an", "probability": 0.262939453125}, {"start": 184.25, "end": 185.11, "word": " approximate", "probability": 0.748046875}, {"start": 185.11, "end": 185.45, "word": " matter", "probability": 0.269775390625}], "temperature": 1.0}, {"id": 10, "seek": 21680, "start": 187.56, "end": 216.8, "text": "First of all, first of all, we say that this example is from public life. It has nothing to do with the subject of engineering vision, but it will bring us closer to the concept that we are talking about. We say that a young man went to buy from a shop next to their house, and found that his younger brother had bought with the money before him from this place, from this shop or from this place. The young man with him, the young man who went to buy, had twenty dinars with him.", "tokens": [27454, 295, 439, 11, 700, 295, 439, 11, 321, 584, 300, 341, 1365, 307, 490, 1908, 993, 13, 467, 575, 1825, 281, 360, 365, 264, 3983, 295, 7043, 5201, 11, 457, 309, 486, 1565, 505, 4966, 281, 264, 3410, 300, 321, 366, 1417, 466, 13, 492, 584, 300, 257, 2037, 587, 1437, 281, 2256, 490, 257, 3945, 958, 281, 641, 1782, 11, 293, 1352, 300, 702, 7037, 3708, 632, 4243, 365, 264, 1460, 949, 796, 490, 341, 1081, 11, 490, 341, 3945, 420, 490, 341, 1081, 13, 440, 2037, 587, 365, 796, 11, 264, 2037, 587, 567, 1437, 281, 2256, 11, 632, 7699, 3791, 685, 365, 796, 13], "avg_logprob": -0.4154243217695744, "compression_ratio": 1.8604651162790697, "no_speech_prob": 2.7179718017578125e-05, "words": [{"start": 187.56, "end": 188.1, "word": "First", "probability": 0.420654296875}, {"start": 188.1, "end": 188.5, "word": " of", "probability": 0.48779296875}, {"start": 188.5, "end": 188.8, "word": " all,", "probability": 0.9501953125}, {"start": 188.88, "end": 189.08, "word": " first", "probability": 0.0853271484375}, {"start": 189.08, "end": 189.46, "word": " of", "probability": 0.9580078125}, {"start": 189.46, "end": 189.46, "word": " all,", "probability": 0.9541015625}, {"start": 189.94, "end": 190.08, "word": " we", "probability": 0.56201171875}, {"start": 190.08, "end": 190.34, "word": " say", "probability": 0.88525390625}, {"start": 190.34, "end": 190.62, "word": " that", "probability": 0.427734375}, {"start": 190.62, "end": 190.76, "word": " this", "probability": 0.7939453125}, {"start": 190.76, "end": 191.06, "word": " example", "probability": 0.8525390625}, {"start": 191.06, "end": 191.34, "word": " is", "probability": 0.410888671875}, {"start": 191.34, "end": 191.42, "word": " from", "probability": 0.6298828125}, {"start": 191.42, "end": 191.94, "word": " public", "probability": 0.285888671875}, {"start": 191.94, "end": 191.94, "word": " life.", "probability": 0.7109375}, {"start": 192.06, "end": 192.22, "word": " It", "probability": 0.84814453125}, {"start": 192.22, "end": 192.34, "word": " has", "probability": 0.61474609375}, {"start": 192.34, "end": 192.34, "word": " nothing", "probability": 0.880859375}, {"start": 192.34, "end": 192.96, "word": " to", "probability": 0.96630859375}, {"start": 192.96, "end": 193.12, "word": " do", "probability": 0.96240234375}, {"start": 193.12, "end": 193.36, "word": " with", "probability": 0.8896484375}, {"start": 193.36, "end": 193.48, "word": " the", "probability": 0.346435546875}, {"start": 193.48, "end": 193.72, "word": " subject", "probability": 0.61669921875}, {"start": 193.72, "end": 193.84, "word": " of", "probability": 0.95654296875}, {"start": 193.84, "end": 194.5, "word": " engineering", "probability": 0.7841796875}, {"start": 194.5, "end": 194.5, "word": " vision,", "probability": 0.297607421875}, {"start": 194.72, "end": 195.02, "word": " but", "probability": 0.57470703125}, {"start": 195.02, "end": 195.22, "word": " it", "probability": 0.72900390625}, {"start": 195.22, "end": 195.28, "word": " will", "probability": 0.66650390625}, {"start": 195.28, "end": 195.5, "word": " bring", "probability": 0.748046875}, {"start": 195.5, "end": 195.74, "word": " us", "probability": 0.6552734375}, {"start": 195.74, "end": 195.74, "word": " closer", "probability": 0.8369140625}, {"start": 195.74, "end": 195.86, "word": " to", "probability": 0.955078125}, {"start": 195.86, "end": 195.92, "word": " the", "probability": 0.880859375}, {"start": 195.92, "end": 196.28, "word": " concept", "probability": 0.7177734375}, {"start": 196.28, "end": 196.92, "word": " that", "probability": 0.67236328125}, {"start": 196.92, "end": 197.2, "word": " we", "probability": 0.95458984375}, {"start": 197.2, "end": 197.36, "word": " are", "probability": 0.712890625}, {"start": 197.36, "end": 197.7, "word": " talking", "probability": 0.7646484375}, {"start": 197.7, "end": 198.06, "word": " about.", "probability": 0.90087890625}, {"start": 198.52, "end": 198.68, "word": " We", "probability": 0.626953125}, {"start": 198.68, "end": 198.9, "word": " say", "probability": 0.9423828125}, {"start": 198.9, "end": 199.08, "word": " that", "probability": 0.57861328125}, {"start": 199.08, "end": 199.4, "word": " a", "probability": 0.88427734375}, {"start": 199.4, "end": 199.68, "word": " young", "probability": 0.66015625}, {"start": 199.68, "end": 199.76, "word": " man", "probability": 0.88671875}, {"start": 199.76, "end": 199.76, "word": " went", "probability": 0.83984375}, {"start": 199.76, "end": 200.44, "word": " to", "probability": 0.89208984375}, {"start": 200.44, "end": 200.82, "word": " buy", "probability": 0.9267578125}, {"start": 200.82, "end": 201.06, "word": " from", "probability": 0.6943359375}, {"start": 201.06, "end": 201.22, "word": " a", "probability": 0.9609375}, {"start": 201.22, "end": 201.62, "word": " shop", "probability": 0.62255859375}, {"start": 201.62, "end": 202.1, "word": " next", "probability": 0.389892578125}, {"start": 202.1, "end": 202.2, "word": " to", "probability": 0.92041015625}, {"start": 202.2, "end": 203.3, "word": " their", "probability": 0.74658203125}, {"start": 203.3, "end": 203.6, "word": " house,", "probability": 0.6953125}, {"start": 204.0, "end": 204.4, "word": " and", "probability": 0.505859375}, {"start": 204.4, "end": 204.78, "word": " found", "probability": 0.474609375}, {"start": 204.78, "end": 204.88, "word": " that", "probability": 0.572265625}, {"start": 204.88, "end": 205.28, "word": " his", "probability": 0.8232421875}, {"start": 205.28, "end": 205.56, "word": " younger", "probability": 0.53759765625}, {"start": 205.56, "end": 205.66, "word": " brother", "probability": 0.875}, {"start": 205.66, "end": 205.92, "word": " had", "probability": 0.77685546875}, {"start": 205.92, "end": 206.3, "word": " bought", "probability": 0.537109375}, {"start": 206.3, "end": 206.68, "word": " with", "probability": 0.140869140625}, {"start": 206.68, "end": 206.7, "word": " the", "probability": 0.421142578125}, {"start": 206.7, "end": 207.0, "word": " money", "probability": 0.34375}, {"start": 207.0, "end": 207.6, "word": " before", "probability": 0.2369384765625}, {"start": 207.6, "end": 207.9, "word": " him", "probability": 0.66259765625}, {"start": 207.9, "end": 208.04, "word": " from", "probability": 0.85791015625}, {"start": 208.04, "end": 208.3, "word": " this", "probability": 0.86328125}, {"start": 208.3, "end": 208.72, "word": " place,", "probability": 0.365966796875}, {"start": 208.8, "end": 208.96, "word": " from", "probability": 0.80517578125}, {"start": 208.96, "end": 209.4, "word": " this", "probability": 0.9296875}, {"start": 209.4, "end": 209.98, "word": " shop", "probability": 0.884765625}, {"start": 209.98, "end": 210.22, "word": " or", "probability": 0.6552734375}, {"start": 210.22, "end": 210.34, "word": " from", "probability": 0.7705078125}, {"start": 210.34, "end": 210.72, "word": " this", "probability": 0.9326171875}, {"start": 210.72, "end": 211.68, "word": " place.", "probability": 0.84326171875}, {"start": 211.96, "end": 212.4, "word": " The", "probability": 0.8564453125}, {"start": 212.4, "end": 212.62, "word": " young", "probability": 0.83203125}, {"start": 212.62, "end": 212.68, "word": " man", "probability": 0.9228515625}, {"start": 212.68, "end": 213.4, "word": " with", "probability": 0.1033935546875}, {"start": 213.4, "end": 213.66, "word": " him,", "probability": 0.89697265625}, {"start": 213.66, "end": 213.94, "word": " the", "probability": 0.85791015625}, {"start": 213.94, "end": 214.14, "word": " young", "probability": 0.91064453125}, {"start": 214.14, "end": 214.18, "word": " man", "probability": 0.93798828125}, {"start": 214.18, "end": 214.34, "word": " who", "probability": 0.8837890625}, {"start": 214.34, "end": 214.48, "word": " went", "probability": 0.69189453125}, {"start": 214.48, "end": 214.58, "word": " to", "probability": 0.9404296875}, {"start": 214.58, "end": 214.86, "word": " buy,", "probability": 0.9453125}, {"start": 215.32, "end": 215.48, "word": " had", "probability": 0.2449951171875}, {"start": 215.48, "end": 216.24, "word": " twenty", "probability": 0.49755859375}, {"start": 216.24, "end": 216.8, "word": " dinars", "probability": 0.87744140625}, {"start": 216.8, "end": 216.8, "word": " with", "probability": 0.65576171875}, {"start": 216.8, "end": 216.8, "word": " him.", "probability": 0.931640625}], "temperature": 1.0}, {"id": 11, "seek": 24677, "start": 217.25, "end": 246.77, "text": "طيب لو قلنا أنه أخو الصغير كان مداين بخمس دنانير، يعني شارع أشياء بالدين بمقدار خمس دنانير، المطلوب بداية من هذا الشاب أنه يسد الخمس دينار و هيتبقى معاه قوة شرائية خمس عشر دينار، طيب نفس الشاب معاه عشرين دينار، ولكن وجد أخو أنه اشترى بالدين بسبع دنانير، لابد أنه يسد السبع دنانير، طبعا هتأخذ من العشرين دينار", "tokens": [9566, 1829, 3555, 45164, 12174, 1211, 8315, 14739, 3224, 5551, 9778, 2407, 2423, 9381, 17082, 13546, 25961, 3714, 3215, 47302, 1863, 4724, 9778, 2304, 3794, 11778, 1863, 7649, 13546, 12399, 37495, 22653, 13412, 9640, 3615, 5551, 8592, 1829, 16606, 20666, 3215, 9957, 4724, 2304, 28543, 9640, 16490, 2304, 3794, 11778, 1863, 7649, 13546, 12399, 9673, 9566, 1211, 37746, 4724, 28259, 10632, 9154, 23758, 25124, 16758, 14739, 3224, 7251, 3794, 3215, 33962, 2304, 3794, 11778, 1829, 8315, 2288, 4032, 8032, 36081, 3555, 4587, 7578, 20449, 40294, 12174, 2407, 3660, 13412, 2288, 16373, 10632, 16490, 2304, 3794, 6225, 46309, 11778, 1829, 8315, 2288, 12399, 23032, 1829, 3555, 8717, 36178, 25124, 16758, 20449, 40294, 6225, 46309, 9957, 11778, 1829, 8315, 2288, 12399, 35525, 19452, 49610, 3215, 5551, 9778, 2407, 14739, 3224, 1975, 8592, 2655, 2288, 7578, 20666, 3215, 9957, 4724, 35457, 3615, 11778, 1863, 7649, 13546, 12399, 5296, 16758, 3215, 14739, 3224, 7251, 3794, 3215, 21136, 3555, 3615, 11778, 1863, 7649, 13546, 12399, 23032, 3555, 3615, 995, 8032, 2655, 10721, 9778, 8848, 9154, 18863, 46309, 9957, 11778, 1829, 8315, 2288], "avg_logprob": -0.1535287969065516, "compression_ratio": 2.319502074688797, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 217.25, "end": 217.61, "word": "طيب", "probability": 0.7415364583333334}, {"start": 217.61, "end": 218.27, "word": " لو", "probability": 0.724609375}, {"start": 218.27, "end": 218.59, "word": " قلنا", "probability": 0.9065755208333334}, {"start": 218.59, "end": 218.99, "word": " أنه", "probability": 0.4669189453125}, {"start": 218.99, "end": 219.41, "word": " أخو", "probability": 0.9625651041666666}, {"start": 219.41, "end": 219.83, "word": " الصغير", "probability": 0.70098876953125}, {"start": 219.83, "end": 220.43, "word": " كان", "probability": 0.98388671875}, {"start": 220.43, "end": 221.09, "word": " مداين", "probability": 0.65185546875}, {"start": 221.09, "end": 221.69, "word": " بخمس", "probability": 0.8963623046875}, {"start": 221.69, "end": 222.19, "word": " دنانير،", "probability": 0.819384765625}, {"start": 222.19, "end": 222.31, "word": " يعني", "probability": 0.890625}, {"start": 222.31, "end": 222.65, "word": " شارع", "probability": 0.9345703125}, {"start": 222.65, "end": 223.01, "word": " أشياء", "probability": 0.9700927734375}, {"start": 223.01, "end": 223.39, "word": " بالدين", "probability": 0.9461263020833334}, {"start": 223.39, "end": 224.01, "word": " بمقدار", "probability": 0.8800048828125}, {"start": 224.01, "end": 224.33, "word": " خمس", "probability": 0.9939778645833334}, {"start": 224.33, "end": 225.43, "word": " دنانير،", "probability": 0.88115234375}, {"start": 225.43, "end": 226.13, "word": " المطلوب", "probability": 0.9788818359375}, {"start": 226.13, "end": 226.67, "word": " بداية", "probability": 0.9695638020833334}, {"start": 226.67, "end": 226.91, "word": " من", "probability": 0.927734375}, {"start": 226.91, "end": 227.19, "word": " هذا", "probability": 0.9130859375}, {"start": 227.19, "end": 227.51, "word": " الشاب", "probability": 0.98388671875}, {"start": 227.51, "end": 227.91, "word": " أنه", "probability": 0.869384765625}, {"start": 227.91, "end": 228.55, "word": " يسد", "probability": 0.7679850260416666}, {"start": 228.55, "end": 229.09, "word": " الخمس", "probability": 0.9129231770833334}, {"start": 229.09, "end": 229.63, "word": " دينار", "probability": 0.840576171875}, {"start": 229.63, "end": 230.45, "word": " و", "probability": 0.62353515625}, {"start": 230.45, "end": 231.07, "word": " هيتبقى", "probability": 0.900390625}, {"start": 231.07, "end": 231.35, "word": " معاه", "probability": 0.88720703125}, {"start": 231.35, "end": 231.69, "word": " قوة", "probability": 0.9879557291666666}, {"start": 231.69, "end": 232.15, "word": " شرائية", "probability": 0.856201171875}, {"start": 232.15, "end": 232.41, "word": " خمس", "probability": 0.94970703125}, {"start": 232.41, "end": 232.75, "word": " عشر", "probability": 0.393951416015625}, {"start": 232.75, "end": 233.83, "word": " دينار،", "probability": 0.890625}, {"start": 233.83, "end": 234.13, "word": " طيب", "probability": 0.9230143229166666}, {"start": 234.13, "end": 234.81, "word": " نفس", "probability": 0.933349609375}, {"start": 234.81, "end": 235.37, "word": " الشاب", "probability": 0.98876953125}, {"start": 235.37, "end": 236.31, "word": " معاه", "probability": 0.83740234375}, {"start": 236.31, "end": 236.67, "word": " عشرين", "probability": 0.9440104166666666}, {"start": 236.67, "end": 237.27, "word": " دينار،", "probability": 0.879150390625}, {"start": 237.27, "end": 237.59, "word": " ولكن", "probability": 0.774169921875}, {"start": 237.59, "end": 238.03, "word": " وجد", "probability": 0.930908203125}, {"start": 238.03, "end": 238.43, "word": " أخو", "probability": 0.9816080729166666}, {"start": 238.43, "end": 239.29, "word": " أنه", "probability": 0.91015625}, {"start": 239.29, "end": 239.97, "word": " اشترى", "probability": 0.7775390625}, {"start": 239.97, "end": 240.57, "word": " بالدين", "probability": 0.9718424479166666}, {"start": 240.57, "end": 241.05, "word": " بسبع", "probability": 0.96240234375}, {"start": 241.05, "end": 242.07, "word": " دنانير،", "probability": 0.9185546875}, {"start": 242.07, "end": 242.85, "word": " لابد", "probability": 0.9554036458333334}, {"start": 242.85, "end": 243.11, "word": " أنه", "probability": 0.92041015625}, {"start": 243.11, "end": 243.47, "word": " يسد", "probability": 0.9747721354166666}, {"start": 243.47, "end": 244.05, "word": " السبع", "probability": 0.94677734375}, {"start": 244.05, "end": 244.87, "word": " دنانير،", "probability": 0.8650390625}, {"start": 244.87, "end": 245.13, "word": " طبعا", "probability": 0.9901123046875}, {"start": 245.13, "end": 245.73, "word": " هتأخذ", "probability": 0.88662109375}, {"start": 245.73, "end": 245.87, "word": " من", "probability": 0.99658203125}, {"start": 245.87, "end": 246.37, "word": " العشرين", "probability": 0.9357096354166666}, {"start": 246.37, "end": 246.77, "word": " دينار", "probability": 0.982177734375}], "temperature": 1.0}, {"id": 12, "seek": 26200, "start": 247.18, "end": 262.0, "text": "و بالتالي .. و بالتالي هيطال .. هيطال معاه .. هيتبقى معاه قوة شرائية مقدارها تلتاشر دينار طيب لو تفاجأ الشاب أنه أخوه ماشتري بالدين، أخوه الصغير ماشتري بالدين بمبلغ عشرين دينار", "tokens": [2407, 20666, 2655, 6027, 1829, 4386, 4032, 20666, 2655, 6027, 1829, 39896, 9566, 6027, 4386, 39896, 9566, 6027, 20449, 40294, 4386, 8032, 36081, 3555, 4587, 7578, 20449, 40294, 12174, 2407, 3660, 13412, 2288, 16373, 10632, 3714, 28543, 9640, 11296, 6055, 1211, 2655, 33599, 2288, 11778, 1829, 8315, 2288, 23032, 1829, 3555, 45164, 6055, 5172, 26108, 10721, 25124, 16758, 14739, 3224, 5551, 9778, 2407, 3224, 3714, 33599, 2655, 16572, 20666, 3215, 9957, 12399, 5551, 9778, 2407, 3224, 31767, 17082, 13546, 3714, 33599, 2655, 16572, 20666, 3215, 9957, 4724, 2304, 36150, 17082, 6225, 46309, 9957, 11778, 1829, 8315, 2288], "avg_logprob": -0.15473533117649507, "compression_ratio": 1.9444444444444444, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 247.18, "end": 247.36, "word": "و", "probability": 0.74755859375}, {"start": 247.36, "end": 248.06, "word": " بالتالي", "probability": 0.811279296875}, {"start": 248.06, "end": 248.1, "word": " ..", "probability": 0.5537109375}, {"start": 248.1, "end": 248.46, "word": " و", "probability": 0.9697265625}, {"start": 248.46, "end": 249.06, "word": " بالتالي", "probability": 0.993896484375}, {"start": 249.06, "end": 249.92, "word": " هيطال", "probability": 0.4758707682291667}, {"start": 249.92, "end": 250.02, "word": " ..", "probability": 0.98095703125}, {"start": 250.02, "end": 250.52, "word": " هيطال", "probability": 0.68994140625}, {"start": 250.52, "end": 250.9, "word": " معاه", "probability": 0.960693359375}, {"start": 250.9, "end": 251.02, "word": " ..", "probability": 0.9638671875}, {"start": 251.02, "end": 251.7, "word": " هيتبقى", "probability": 0.909375}, {"start": 251.7, "end": 252.02, "word": " معاه", "probability": 0.98779296875}, {"start": 252.02, "end": 252.36, "word": " قوة", "probability": 0.9733072916666666}, {"start": 252.36, "end": 252.84, "word": " شرائية", "probability": 0.865234375}, {"start": 252.84, "end": 253.56, "word": " مقدارها", "probability": 0.981201171875}, {"start": 253.56, "end": 254.6, "word": " تلتاشر", "probability": 0.8462890625}, {"start": 254.6, "end": 255.14, "word": " دينار", "probability": 0.9351806640625}, {"start": 255.14, "end": 255.42, "word": " طيب", "probability": 0.8426106770833334}, {"start": 255.42, "end": 255.94, "word": " لو", "probability": 0.609375}, {"start": 255.94, "end": 256.5, "word": " تفاجأ", "probability": 0.981689453125}, {"start": 256.5, "end": 256.92, "word": " الشاب", "probability": 0.96337890625}, {"start": 256.92, "end": 257.54, "word": " أنه", "probability": 0.5875244140625}, {"start": 257.54, "end": 258.12, "word": " أخوه", "probability": 0.8477783203125}, {"start": 258.12, "end": 258.54, "word": " ماشتري", "probability": 0.7900390625}, {"start": 258.54, "end": 259.24, "word": " بالدين،", "probability": 0.8685302734375}, {"start": 259.24, "end": 259.5, "word": " أخوه", "probability": 0.89208984375}, {"start": 259.5, "end": 259.84, "word": " الصغير", "probability": 0.9910481770833334}, {"start": 259.84, "end": 260.14, "word": " ماشتري", "probability": 0.9237060546875}, {"start": 260.14, "end": 260.44, "word": " بالدين", "probability": 0.9814453125}, {"start": 260.44, "end": 260.96, "word": " بمبلغ", "probability": 0.9832763671875}, {"start": 260.96, "end": 261.48, "word": " عشرين", "probability": 0.9091796875}, {"start": 261.48, "end": 262.0, "word": " دينار", "probability": 0.955078125}], "temperature": 1.0}, {"id": 13, "seek": 28519, "start": 262.81, "end": 285.19, "text": "he will have to pay off the debt which is 20 dinars and he will have 0 dinars of purchasing power which means that he will not be able to buy anything because everything he has will be spent on paying off the debt of his younger brother if this young man is surprised", "tokens": [675, 486, 362, 281, 1689, 766, 264, 7831, 597, 307, 945, 3791, 685, 293, 415, 486, 362, 1958, 3791, 685, 295, 20906, 1347, 597, 1355, 300, 415, 486, 406, 312, 1075, 281, 2256, 1340, 570, 1203, 415, 575, 486, 312, 4418, 322, 6229, 766, 264, 7831, 295, 702, 7037, 3708, 498, 341, 2037, 587, 307, 6100], "avg_logprob": -0.6118421136287221, "compression_ratio": 1.7006369426751593, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 262.81, "end": 262.99, "word": "he", "probability": 0.5244140625}, {"start": 262.99, "end": 263.25, "word": " will", "probability": 0.462890625}, {"start": 263.25, "end": 263.41, "word": " have", "probability": 0.7109375}, {"start": 263.41, "end": 263.73, "word": " to", "probability": 0.9638671875}, {"start": 263.73, "end": 263.85, "word": " pay", "probability": 0.451171875}, {"start": 263.85, "end": 263.95, "word": " off", "probability": 0.1998291015625}, {"start": 263.95, "end": 264.19, "word": " the", "probability": 0.41455078125}, {"start": 264.19, "end": 264.47, "word": " debt", "probability": 0.50732421875}, {"start": 264.47, "end": 265.33, "word": " which", "probability": 0.355224609375}, {"start": 265.33, "end": 265.43, "word": " is", "probability": 0.70556640625}, {"start": 265.43, "end": 266.03, "word": " 20", "probability": 0.30712890625}, {"start": 266.03, "end": 266.53, "word": " dinars", "probability": 0.761962890625}, {"start": 266.53, "end": 266.61, "word": " and", "probability": 0.333740234375}, {"start": 266.61, "end": 266.61, "word": " he", "probability": 0.515625}, {"start": 266.61, "end": 266.79, "word": " will", "probability": 0.7294921875}, {"start": 266.79, "end": 268.61, "word": " have", "probability": 0.53271484375}, {"start": 268.61, "end": 269.25, "word": " 0", "probability": 0.3251953125}, {"start": 269.25, "end": 270.49, "word": " dinars", "probability": 0.835205078125}, {"start": 270.49, "end": 270.49, "word": " of", "probability": 0.1505126953125}, {"start": 270.49, "end": 270.49, "word": " purchasing", "probability": 0.6875}, {"start": 270.49, "end": 270.49, "word": " power", "probability": 0.89599609375}, {"start": 270.49, "end": 270.99, "word": " which", "probability": 0.09466552734375}, {"start": 270.99, "end": 271.01, "word": " means", "probability": 0.8466796875}, {"start": 271.01, "end": 271.13, "word": " that", "probability": 0.277587890625}, {"start": 271.13, "end": 271.13, "word": " he", "probability": 0.93310546875}, {"start": 271.13, "end": 271.13, "word": " will", "probability": 0.383056640625}, {"start": 271.13, "end": 271.25, "word": " not", "probability": 0.76708984375}, {"start": 271.25, "end": 271.69, "word": " be", "probability": 0.86865234375}, {"start": 271.69, "end": 271.69, "word": " able", "probability": 0.95751953125}, {"start": 271.69, "end": 271.85, "word": " to", "probability": 0.970703125}, {"start": 271.85, "end": 272.07, "word": " buy", "probability": 0.87451171875}, {"start": 272.07, "end": 272.77, "word": " anything", "probability": 0.783203125}, {"start": 272.77, "end": 273.05, "word": " because", "probability": 0.69482421875}, {"start": 273.05, "end": 273.57, "word": " everything", "probability": 0.42626953125}, {"start": 273.57, "end": 274.03, "word": " he", "probability": 0.53564453125}, {"start": 274.03, "end": 274.03, "word": " has", "probability": 0.58056640625}, {"start": 274.03, "end": 274.35, "word": " will", "probability": 0.2115478515625}, {"start": 274.35, "end": 274.49, "word": " be", "probability": 0.830078125}, {"start": 274.49, "end": 274.95, "word": " spent", "probability": 0.318115234375}, {"start": 274.95, "end": 277.73, "word": " on", "probability": 0.374267578125}, {"start": 277.73, "end": 279.93, "word": " paying", "probability": 0.54248046875}, {"start": 279.93, "end": 280.15, "word": " off", "probability": 0.65380859375}, {"start": 280.15, "end": 280.25, "word": " the", "probability": 0.57373046875}, {"start": 280.25, "end": 280.53, "word": " debt", "probability": 0.5615234375}, {"start": 280.53, "end": 281.41, "word": " of", "probability": 0.76123046875}, {"start": 281.41, "end": 282.23, "word": " his", "probability": 0.9462890625}, {"start": 282.23, "end": 282.73, "word": " younger", "probability": 0.51318359375}, {"start": 282.73, "end": 282.83, "word": " brother", "probability": 0.86474609375}, {"start": 282.83, "end": 283.73, "word": " if", "probability": 0.2259521484375}, {"start": 283.73, "end": 284.71, "word": " this", "probability": 0.7978515625}, {"start": 284.71, "end": 285.13, "word": " young", "probability": 0.445068359375}, {"start": 285.13, "end": 285.19, "word": " man", "probability": 0.767578125}, {"start": 285.19, "end": 285.19, "word": " is", "probability": 0.32421875}, {"start": 285.19, "end": 285.19, "word": " surprised", "probability": 0.83203125}], "temperature": 1.0}, {"id": 14, "seek": 30710, "start": 285.88, "end": 307.1, "text": "because his brother withdrew money from the shop for 25 dinars he will have to pay back the 20 dinars that he has and he will have minus 5 dinars with him what does it mean to have minus 5 dinars with him? it means that they still have 5 dinars of debt this is what we want to talk about first", "tokens": [17566, 702, 3708, 12483, 2236, 1460, 490, 264, 3945, 337, 3552, 3791, 685, 415, 486, 362, 281, 1689, 646, 264, 945, 3791, 685, 300, 415, 575, 293, 415, 486, 362, 3175, 1025, 3791, 685, 365, 796, 437, 775, 309, 914, 281, 362, 3175, 1025, 3791, 685, 365, 796, 30, 309, 1355, 300, 436, 920, 362, 1025, 3791, 685, 295, 7831, 341, 307, 437, 321, 528, 281, 751, 466, 700], "avg_logprob": -0.5035714260169438, "compression_ratio": 1.7975460122699387, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 285.88, "end": 286.34, "word": "because", "probability": 0.06964111328125}, {"start": 286.34, "end": 287.42, "word": " his", "probability": 0.80517578125}, {"start": 287.42, "end": 287.42, "word": " brother", "probability": 0.84375}, {"start": 287.42, "end": 287.76, "word": " withdrew", "probability": 0.735107421875}, {"start": 287.76, "end": 288.28, "word": " money", "probability": 0.297607421875}, {"start": 288.28, "end": 288.48, "word": " from", "probability": 0.81787109375}, {"start": 288.48, "end": 288.66, "word": " the", "probability": 0.67822265625}, {"start": 288.66, "end": 288.92, "word": " shop", "probability": 0.68701171875}, {"start": 288.92, "end": 289.3, "word": " for", "probability": 0.5390625}, {"start": 289.3, "end": 290.28, "word": " 25", "probability": 0.78955078125}, {"start": 290.28, "end": 290.9, "word": " dinars", "probability": 0.806640625}, {"start": 290.9, "end": 291.62, "word": " he", "probability": 0.195556640625}, {"start": 291.62, "end": 291.72, "word": " will", "probability": 0.445556640625}, {"start": 291.72, "end": 292.04, "word": " have", "probability": 0.75732421875}, {"start": 292.04, "end": 292.18, "word": " to", "probability": 0.9638671875}, {"start": 292.18, "end": 292.4, "word": " pay", "probability": 0.304931640625}, {"start": 292.4, "end": 292.46, "word": " back", "probability": 0.319580078125}, {"start": 292.46, "end": 292.54, "word": " the", "probability": 0.61474609375}, {"start": 292.54, "end": 292.82, "word": " 20", "probability": 0.8544921875}, {"start": 292.82, "end": 293.2, "word": " dinars", "probability": 0.94775390625}, {"start": 293.2, "end": 293.38, "word": " that", "probability": 0.25537109375}, {"start": 293.38, "end": 293.4, "word": " he", "probability": 0.80859375}, {"start": 293.4, "end": 293.68, "word": " has", "probability": 0.38330078125}, {"start": 293.68, "end": 293.8, "word": " and", "probability": 0.472412109375}, {"start": 293.8, "end": 293.9, "word": " he", "probability": 0.4091796875}, {"start": 293.9, "end": 294.02, "word": " will", "probability": 0.76220703125}, {"start": 294.02, "end": 294.22, "word": " have", "probability": 0.5283203125}, {"start": 294.22, "end": 295.02, "word": " minus", "probability": 0.6943359375}, {"start": 295.02, "end": 295.42, "word": " 5", "probability": 0.79052734375}, {"start": 295.42, "end": 295.78, "word": " dinars", "probability": 0.973876953125}, {"start": 295.78, "end": 295.8, "word": " with", "probability": 0.2734375}, {"start": 295.8, "end": 295.8, "word": " him", "probability": 0.92138671875}, {"start": 295.8, "end": 295.96, "word": " what", "probability": 0.348388671875}, {"start": 295.96, "end": 296.12, "word": " does", "probability": 0.72900390625}, {"start": 296.12, "end": 296.42, "word": " it", "probability": 0.65966796875}, {"start": 296.42, "end": 296.42, "word": " mean", "probability": 0.9580078125}, {"start": 296.42, "end": 296.44, "word": " to", "probability": 0.287841796875}, {"start": 296.44, "end": 296.44, "word": " have", "probability": 0.77978515625}, {"start": 296.44, "end": 296.84, "word": " minus", "probability": 0.9619140625}, {"start": 296.84, "end": 297.2, "word": " 5", "probability": 0.89111328125}, {"start": 297.2, "end": 297.64, "word": " dinars", "probability": 0.970703125}, {"start": 297.64, "end": 297.64, "word": " with", "probability": 0.67724609375}, {"start": 297.64, "end": 297.64, "word": " him?", "probability": 0.6806640625}, {"start": 297.94, "end": 298.26, "word": " it", "probability": 0.439208984375}, {"start": 298.26, "end": 298.46, "word": " means", "probability": 0.90478515625}, {"start": 298.46, "end": 298.64, "word": " that", "probability": 0.54248046875}, {"start": 298.64, "end": 299.06, "word": " they", "probability": 0.7236328125}, {"start": 299.06, "end": 299.52, "word": " still", "probability": 0.90576171875}, {"start": 299.52, "end": 300.04, "word": " have", "probability": 0.4912109375}, {"start": 300.04, "end": 301.8, "word": " 5", "probability": 0.44287109375}, {"start": 301.8, "end": 303.0, "word": " dinars", "probability": 0.8466796875}, {"start": 303.0, "end": 303.0, "word": " of", "probability": 0.257568359375}, {"start": 303.0, "end": 303.0, "word": " debt", "probability": 0.697265625}, {"start": 303.0, "end": 303.8, "word": " this", "probability": 0.330078125}, {"start": 303.8, "end": 304.06, "word": " is", "probability": 0.4404296875}, {"start": 304.06, "end": 304.9, "word": " what", "probability": 0.50048828125}, {"start": 304.9, "end": 305.34, "word": " we", "probability": 0.93701171875}, {"start": 305.34, "end": 305.34, "word": " want", "probability": 0.457763671875}, {"start": 305.34, "end": 306.46, "word": " to", "probability": 0.9541015625}, {"start": 306.46, "end": 306.7, "word": " talk", "probability": 0.54833984375}, {"start": 306.7, "end": 306.8, "word": " about", "probability": 0.7138671875}, {"start": 306.8, "end": 307.1, "word": " first", "probability": 0.78662109375}], "temperature": 1.0}, {"id": 15, "seek": 33200, "start": 309.22, "end": 332.0, "text": "We said before that the single refracting surface, and this also applies to the lenses that have two surfaces The single refracting surface and the lenses that have two surfaces are measured by the diopter And the refractive state of light, whether it is refracted or collected, is also measured by the diopter", "tokens": [4360, 848, 949, 300, 264, 2167, 45353, 278, 3753, 11, 293, 341, 611, 13165, 281, 264, 18059, 300, 362, 732, 16130, 440, 2167, 45353, 278, 3753, 293, 264, 18059, 300, 362, 732, 16130, 366, 12690, 538, 264, 1026, 404, 391, 400, 264, 45353, 488, 1785, 295, 1442, 11, 1968, 309, 307, 45353, 292, 420, 1263, 39963, 11, 307, 611, 12690, 538, 264, 1026, 404, 391], "avg_logprob": -0.4547822001305493, "compression_ratio": 2.012987012987013, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 309.22, "end": 309.56, "word": "We", "probability": 0.477294921875}, {"start": 309.56, "end": 309.92, "word": " said", "probability": 0.5078125}, {"start": 309.92, "end": 310.8, "word": " before", "probability": 0.53271484375}, {"start": 310.8, "end": 311.14, "word": " that", "probability": 0.82177734375}, {"start": 311.14, "end": 311.26, "word": " the", "probability": 0.38330078125}, {"start": 311.26, "end": 311.54, "word": " single", "probability": 0.73974609375}, {"start": 311.54, "end": 312.22, "word": " refracting", "probability": 0.756591796875}, {"start": 312.22, "end": 312.54, "word": " surface,", "probability": 0.61328125}, {"start": 312.64, "end": 312.72, "word": " and", "probability": 0.51513671875}, {"start": 312.72, "end": 313.2, "word": " this", "probability": 0.70703125}, {"start": 313.2, "end": 313.46, "word": " also", "probability": 0.1702880859375}, {"start": 313.46, "end": 314.08, "word": " applies", "probability": 0.78466796875}, {"start": 314.08, "end": 315.14, "word": " to", "probability": 0.92333984375}, {"start": 315.14, "end": 315.24, "word": " the", "probability": 0.3701171875}, {"start": 315.24, "end": 315.76, "word": " lenses", "probability": 0.62255859375}, {"start": 315.76, "end": 315.96, "word": " that", "probability": 0.56689453125}, {"start": 315.96, "end": 316.18, "word": " have", "probability": 0.8310546875}, {"start": 316.18, "end": 316.74, "word": " two", "probability": 0.81591796875}, {"start": 316.74, "end": 316.74, "word": " surfaces", "probability": 0.9296875}, {"start": 316.74, "end": 317.3, "word": " The", "probability": 0.295166015625}, {"start": 317.3, "end": 317.62, "word": " single", "probability": 0.833984375}, {"start": 317.62, "end": 318.24, "word": " refracting", "probability": 0.921875}, {"start": 318.24, "end": 318.62, "word": " surface", "probability": 0.671875}, {"start": 318.62, "end": 318.8, "word": " and", "probability": 0.8486328125}, {"start": 318.8, "end": 318.86, "word": " the", "probability": 0.59423828125}, {"start": 318.86, "end": 319.14, "word": " lenses", "probability": 0.7822265625}, {"start": 319.14, "end": 319.38, "word": " that", "probability": 0.8212890625}, {"start": 319.38, "end": 319.58, "word": " have", "probability": 0.89501953125}, {"start": 319.58, "end": 320.2, "word": " two", "probability": 0.919921875}, {"start": 320.2, "end": 320.2, "word": " surfaces", "probability": 0.94384765625}, {"start": 320.2, "end": 322.02, "word": " are", "probability": 0.329345703125}, {"start": 322.02, "end": 322.26, "word": " measured", "probability": 0.736328125}, {"start": 322.26, "end": 322.78, "word": " by", "probability": 0.6474609375}, {"start": 322.78, "end": 323.06, "word": " the", "probability": 0.53662109375}, {"start": 323.06, "end": 323.56, "word": " diopter", "probability": 0.8885091145833334}, {"start": 323.56, "end": 325.06, "word": " And", "probability": 0.501953125}, {"start": 325.06, "end": 325.46, "word": " the", "probability": 0.77783203125}, {"start": 325.46, "end": 326.7, "word": " refractive", "probability": 0.465972900390625}, {"start": 326.7, "end": 326.7, "word": " state", "probability": 0.60888671875}, {"start": 326.7, "end": 327.1, "word": " of", "probability": 0.921875}, {"start": 327.1, "end": 327.56, "word": " light,", "probability": 0.60546875}, {"start": 327.8, "end": 327.88, "word": " whether", "probability": 0.5810546875}, {"start": 327.88, "end": 328.08, "word": " it", "probability": 0.2127685546875}, {"start": 328.08, "end": 328.08, "word": " is", "probability": 0.79931640625}, {"start": 328.08, "end": 328.76, "word": " refracted", "probability": 0.6435546875}, {"start": 328.76, "end": 329.06, "word": " or", "probability": 0.96484375}, {"start": 329.06, "end": 329.86, "word": " collected,", "probability": 0.6298828125}, {"start": 330.42, "end": 330.42, "word": " is", "probability": 0.8701171875}, {"start": 330.42, "end": 331.2, "word": " also", "probability": 0.81298828125}, {"start": 331.2, "end": 331.2, "word": " measured", "probability": 0.88330078125}, {"start": 331.2, "end": 331.44, "word": " by", "probability": 0.943359375}, {"start": 331.44, "end": 331.56, "word": " the", "probability": 0.88134765625}, {"start": 331.56, "end": 332.0, "word": " diopter", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 16, "seek": 35983, "start": 332.47, "end": 359.83, "text": "The divergence is measured by the diopter. The question itself is, why is the measurement of the intensity of the lens measured by the diopter, while the divergence of the light is measured by the diopter, regardless of whether it is minus or plus? We say for a simple reason, that what does the lens do? The lens only changes the divergence of the light. This light is divergent, it has changed its state,", "tokens": [2278, 47387, 307, 12690, 538, 264, 1026, 404, 391, 13, 440, 1168, 2564, 307, 11, 983, 307, 264, 13160, 295, 264, 13749, 295, 264, 6765, 12690, 538, 264, 1026, 404, 391, 11, 1339, 264, 47387, 295, 264, 1442, 307, 12690, 538, 264, 1026, 404, 391, 11, 10060, 295, 1968, 309, 307, 3175, 420, 1804, 30, 492, 584, 337, 257, 2199, 1778, 11, 300, 437, 775, 264, 6765, 360, 30, 440, 6765, 787, 2962, 264, 47387, 295, 264, 1442, 13, 639, 1442, 307, 18558, 6930, 11, 309, 575, 3105, 1080, 1785, 11], "avg_logprob": -0.5176630642103113, "compression_ratio": 2.0, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 332.47, "end": 332.73, "word": "The", "probability": 0.228271484375}, {"start": 332.73, "end": 333.25, "word": " divergence", "probability": 0.7041015625}, {"start": 333.25, "end": 334.45, "word": " is", "probability": 0.28857421875}, {"start": 334.45, "end": 334.67, "word": " measured", "probability": 0.305908203125}, {"start": 334.67, "end": 334.85, "word": " by", "probability": 0.478515625}, {"start": 334.85, "end": 334.95, "word": " the", "probability": 0.79443359375}, {"start": 334.95, "end": 335.39, "word": " diopter.", "probability": 0.8684895833333334}, {"start": 336.29, "end": 336.45, "word": " The", "probability": 0.394287109375}, {"start": 336.45, "end": 336.71, "word": " question", "probability": 0.89794921875}, {"start": 336.71, "end": 337.33, "word": " itself", "probability": 0.265380859375}, {"start": 337.33, "end": 337.55, "word": " is,", "probability": 0.4912109375}, {"start": 337.55, "end": 337.99, "word": " why", "probability": 0.73291015625}, {"start": 337.99, "end": 338.29, "word": " is", "probability": 0.352294921875}, {"start": 338.29, "end": 338.29, "word": " the", "probability": 0.822265625}, {"start": 338.29, "end": 338.51, "word": " measurement", "probability": 0.144287109375}, {"start": 338.51, "end": 338.73, "word": " of", "probability": 0.90625}, {"start": 338.73, "end": 338.73, "word": " the", "probability": 0.80224609375}, {"start": 338.73, "end": 338.85, "word": " intensity", "probability": 0.276611328125}, {"start": 338.85, "end": 339.03, "word": " of", "probability": 0.9443359375}, {"start": 339.03, "end": 339.21, "word": " the", "probability": 0.86474609375}, {"start": 339.21, "end": 339.57, "word": " lens", "probability": 0.724609375}, {"start": 339.57, "end": 340.13, "word": " measured", "probability": 0.45947265625}, {"start": 340.13, "end": 340.13, "word": " by", "probability": 0.93701171875}, {"start": 340.13, "end": 340.19, "word": " the", "probability": 0.859375}, {"start": 340.19, "end": 340.61, "word": " diopter,", "probability": 0.9498697916666666}, {"start": 341.13, "end": 341.27, "word": " while", "probability": 0.399169921875}, {"start": 341.27, "end": 341.37, "word": " the", "probability": 0.85791015625}, {"start": 341.37, "end": 342.17, "word": " divergence", "probability": 0.283935546875}, {"start": 342.17, "end": 343.43, "word": " of", "probability": 0.465087890625}, {"start": 343.43, "end": 343.61, "word": " the", "probability": 0.7548828125}, {"start": 343.61, "end": 343.91, "word": " light", "probability": 0.755859375}, {"start": 343.91, "end": 344.15, "word": " is", "probability": 0.54638671875}, {"start": 344.15, "end": 344.15, "word": " measured", "probability": 0.77978515625}, {"start": 344.15, "end": 344.15, "word": " by", "probability": 0.97216796875}, {"start": 344.15, "end": 344.23, "word": " the", "probability": 0.9111328125}, {"start": 344.23, "end": 344.63, "word": " diopter,", "probability": 0.94287109375}, {"start": 345.07, "end": 345.35, "word": " regardless", "probability": 0.642578125}, {"start": 345.35, "end": 345.87, "word": " of", "probability": 0.88623046875}, {"start": 345.87, "end": 345.97, "word": " whether", "probability": 0.37451171875}, {"start": 345.97, "end": 345.97, "word": " it", "probability": 0.64892578125}, {"start": 345.97, "end": 345.97, "word": " is", "probability": 0.77197265625}, {"start": 345.97, "end": 346.33, "word": " minus", "probability": 0.234375}, {"start": 346.33, "end": 346.83, "word": " or", "probability": 0.953125}, {"start": 346.83, "end": 347.75, "word": " plus?", "probability": 0.94140625}, {"start": 347.99, "end": 348.31, "word": " We", "probability": 0.4228515625}, {"start": 348.31, "end": 348.51, "word": " say", "probability": 0.3515625}, {"start": 348.51, "end": 348.71, "word": " for", "probability": 0.412353515625}, {"start": 348.71, "end": 348.79, "word": " a", "probability": 0.9013671875}, {"start": 348.79, "end": 349.23, "word": " simple", "probability": 0.96044921875}, {"start": 349.23, "end": 349.25, "word": " reason,", "probability": 0.96240234375}, {"start": 349.81, "end": 350.01, "word": " that", "probability": 0.462646484375}, {"start": 350.01, "end": 350.11, "word": " what", "probability": 0.313720703125}, {"start": 350.11, "end": 350.11, "word": " does", "probability": 0.64404296875}, {"start": 350.11, "end": 350.41, "word": " the", "probability": 0.81494140625}, {"start": 350.41, "end": 350.41, "word": " lens", "probability": 0.71142578125}, {"start": 350.41, "end": 351.25, "word": " do?", "probability": 0.92724609375}, {"start": 351.65, "end": 352.01, "word": " The", "probability": 0.78466796875}, {"start": 352.01, "end": 352.37, "word": " lens", "probability": 0.79638671875}, {"start": 352.37, "end": 353.31, "word": " only", "probability": 0.337158203125}, {"start": 353.31, "end": 354.17, "word": " changes", "probability": 0.6796875}, {"start": 354.17, "end": 354.53, "word": " the", "probability": 0.90478515625}, {"start": 354.53, "end": 355.49, "word": " divergence", "probability": 0.70068359375}, {"start": 355.49, "end": 355.99, "word": " of", "probability": 0.89404296875}, {"start": 355.99, "end": 356.29, "word": " the", "probability": 0.50341796875}, {"start": 356.29, "end": 356.49, "word": " light.", "probability": 0.85693359375}, {"start": 356.95, "end": 357.19, "word": " This", "probability": 0.71728515625}, {"start": 357.19, "end": 357.41, "word": " light", "probability": 0.404541015625}, {"start": 357.41, "end": 357.51, "word": " is", "probability": 0.478759765625}, {"start": 357.51, "end": 358.29, "word": " divergent,", "probability": 0.83154296875}, {"start": 358.73, "end": 358.87, "word": " it", "probability": 0.33349609375}, {"start": 358.87, "end": 359.29, "word": " has", "probability": 0.346435546875}, {"start": 359.29, "end": 359.29, "word": " changed", "probability": 0.8916015625}, {"start": 359.29, "end": 359.53, "word": " its", "probability": 0.8271484375}, {"start": 359.53, "end": 359.83, "word": " state,", "probability": 0.671875}], "temperature": 1.0}, {"id": 17, "seek": 38781, "start": 361.61, "end": 387.81, "text": "convergent يعني لو العدسة هذه مش موجودة طبعا أنا رسمت العدسة ضخمة لتوضيح الفكرة المعينة العدسة لو مش موجودة كان الضوء ضال divergent كان الضوء ضال divergent بس وجود العدسة في طريق الضوء المتشتت ال divergence tree حولوا لضوء لضوء يعني متجمع او convergent tree", "tokens": [1671, 331, 6930, 37495, 22653, 45164, 18863, 3215, 3794, 3660, 29538, 37893, 3714, 29245, 23328, 3660, 23032, 3555, 3615, 995, 41850, 12602, 38251, 2655, 18863, 3215, 3794, 3660, 48812, 9778, 46007, 5296, 2655, 2407, 11242, 1829, 5016, 27188, 4117, 25720, 9673, 3615, 9957, 3660, 18863, 3215, 3794, 3660, 45164, 37893, 3714, 29245, 23328, 3660, 25961, 6024, 114, 2407, 38207, 48812, 6027, 18558, 6930, 25961, 6024, 114, 2407, 38207, 48812, 6027, 18558, 6930, 4724, 3794, 49610, 23328, 18863, 3215, 3794, 3660, 8978, 23032, 16572, 4587, 6024, 114, 2407, 38207, 9673, 2655, 8592, 2655, 2655, 2423, 47387, 4230, 11331, 12610, 14407, 5296, 11242, 2407, 38207, 5296, 11242, 2407, 38207, 37495, 22653, 44650, 7435, 2304, 3615, 1975, 2407, 9652, 6930, 4230], "avg_logprob": -0.12893907537981242, "compression_ratio": 2.07, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 361.61, "end": 362.31, "word": "convergent", "probability": 0.8899739583333334}, {"start": 362.31, "end": 363.09, "word": " يعني", "probability": 0.4913330078125}, {"start": 363.09, "end": 363.25, "word": " لو", "probability": 0.900390625}, {"start": 363.25, "end": 363.75, "word": " العدسة", "probability": 0.956787109375}, {"start": 363.75, "end": 363.97, "word": " هذه", "probability": 0.331787109375}, {"start": 363.97, "end": 364.19, "word": " مش", "probability": 0.9892578125}, {"start": 364.19, "end": 364.89, "word": " موجودة", "probability": 0.986328125}, {"start": 364.89, "end": 365.25, "word": " طبعا", "probability": 0.776519775390625}, {"start": 365.25, "end": 365.39, "word": " أنا", "probability": 0.54248046875}, {"start": 365.39, "end": 365.77, "word": " رسمت", "probability": 0.9744466145833334}, {"start": 365.77, "end": 366.19, "word": " العدسة", "probability": 0.993408203125}, {"start": 366.19, "end": 366.59, "word": " ضخمة", "probability": 0.9825846354166666}, {"start": 366.59, "end": 367.59, "word": " لتوضيح", "probability": 0.9732259114583334}, {"start": 367.59, "end": 368.21, "word": " الفكرة", "probability": 0.97998046875}, {"start": 368.21, "end": 368.99, "word": " المعينة", "probability": 0.97119140625}, {"start": 368.99, "end": 371.13, "word": " العدسة", "probability": 0.98583984375}, {"start": 371.13, "end": 371.33, "word": " لو", "probability": 0.97265625}, {"start": 371.33, "end": 371.53, "word": " مش", "probability": 0.9892578125}, {"start": 371.53, "end": 372.01, "word": " موجودة", "probability": 0.9901123046875}, {"start": 372.01, "end": 372.27, "word": " كان", "probability": 0.9326171875}, {"start": 372.27, "end": 372.65, "word": " الضوء", "probability": 0.8333740234375}, {"start": 372.65, "end": 372.97, "word": " ضال", "probability": 0.73974609375}, {"start": 372.97, "end": 373.97, "word": " divergent", "probability": 0.776611328125}, {"start": 373.97, "end": 374.25, "word": " كان", "probability": 0.8271484375}, {"start": 374.25, "end": 374.63, "word": " الضوء", "probability": 0.9837646484375}, {"start": 374.63, "end": 374.93, "word": " ضال", "probability": 0.970947265625}, {"start": 374.93, "end": 375.73, "word": " divergent", "probability": 0.92138671875}, {"start": 375.73, "end": 376.37, "word": " بس", "probability": 0.931396484375}, {"start": 376.37, "end": 377.43, "word": " وجود", "probability": 0.983154296875}, {"start": 377.43, "end": 378.19, "word": " العدسة", "probability": 0.9962158203125}, {"start": 378.19, "end": 378.69, "word": " في", "probability": 0.97509765625}, {"start": 378.69, "end": 379.15, "word": " طريق", "probability": 0.93994140625}, {"start": 379.15, "end": 379.55, "word": " الضوء", "probability": 0.9761962890625}, {"start": 379.55, "end": 380.37, "word": " المتشتت", "probability": 0.9634765625}, {"start": 380.37, "end": 380.53, "word": " ال", "probability": 0.9404296875}, {"start": 380.53, "end": 381.01, "word": " divergence", "probability": 0.4619140625}, {"start": 381.01, "end": 381.39, "word": " tree", "probability": 0.69287109375}, {"start": 381.39, "end": 381.97, "word": " حولوا", "probability": 0.8771158854166666}, {"start": 381.97, "end": 383.17, "word": " لضوء", "probability": 0.977783203125}, {"start": 383.17, "end": 384.51, "word": " لضوء", "probability": 0.86138916015625}, {"start": 384.51, "end": 385.73, "word": " يعني", "probability": 0.830078125}, {"start": 385.73, "end": 386.69, "word": " متجمع", "probability": 0.98974609375}, {"start": 386.69, "end": 386.89, "word": " او", "probability": 0.865234375}, {"start": 386.89, "end": 387.57, "word": " convergent", "probability": 0.85009765625}, {"start": 387.57, "end": 387.81, "word": " tree", "probability": 0.79248046875}], "temperature": 1.0}, {"id": 18, "seek": 39335, "start": 388.53, "end": 393.35, "text": "الان السؤال كيف العدسة بتغير الحالة التشتوتية للضوء؟", "tokens": [6027, 7649, 21136, 33604, 6027, 9122, 33911, 18863, 3215, 3794, 3660, 39894, 17082, 13546, 21542, 6027, 3660, 16712, 8592, 2655, 35473, 10632, 24976, 11242, 2407, 38207, 22807], "avg_logprob": -0.11363001992659909, "compression_ratio": 1.2278481012658229, "no_speech_prob": 0.0, "words": [{"start": 388.53, "end": 388.95, "word": "الان", "probability": 0.6541748046875}, {"start": 388.95, "end": 389.49, "word": " السؤال", "probability": 0.9884440104166666}, {"start": 389.49, "end": 390.05, "word": " كيف", "probability": 0.81787109375}, {"start": 390.05, "end": 390.69, "word": " العدسة", "probability": 0.972900390625}, {"start": 390.69, "end": 391.31, "word": " بتغير", "probability": 0.9728190104166666}, {"start": 391.31, "end": 391.83, "word": " الحالة", "probability": 0.9817708333333334}, {"start": 391.83, "end": 392.63, "word": " التشتوتية", "probability": 0.875390625}, {"start": 392.63, "end": 393.35, "word": " للضوء؟", "probability": 0.92509765625}], "temperature": 1.0}, {"id": 19, "seek": 42314, "start": 394.34, "end": 423.14, "text": "العدسة عبارة عن مادة تختلف عن المادة اللي كان يسري فيها الضوء، يعني الضوء كان يسري في الهواء، دخل للزجاج، طبعا لما يكون بيسري في الهواء و يدخل لمادة تانية زي الزجاج أو الماء أو اي مادة أخرى، لابد انه يطبق عليك قانون الانكسار، يعني بده يغير اتجاهه، تغيير اتجاهه حسب قانون الانكسار، كل شعيع بده يتعرض لقانون الانكسار، N I sine theta I يساوي N T sine theta T", "tokens": [6027, 3615, 3215, 3794, 3660, 6225, 3555, 9640, 3660, 18871, 3714, 18513, 3660, 6055, 46456, 46538, 18871, 9673, 18513, 3660, 13672, 1829, 25961, 7251, 3794, 16572, 8978, 11296, 6024, 114, 2407, 38207, 12399, 37495, 22653, 6024, 114, 2407, 38207, 25961, 7251, 3794, 16572, 8978, 2423, 3224, 2407, 16606, 12399, 11778, 9778, 1211, 24976, 11622, 7435, 26108, 12399, 23032, 3555, 3615, 995, 5296, 15042, 7251, 30544, 4724, 1829, 3794, 16572, 8978, 2423, 3224, 2407, 16606, 4032, 7251, 3215, 9778, 1211, 32767, 18513, 3660, 6055, 7649, 10632, 30767, 1829, 6024, 110, 7435, 26108, 34051, 9673, 16606, 34051, 1975, 1829, 3714, 18513, 3660, 5551, 34740, 7578, 12399, 5296, 16758, 3215, 16472, 3224, 7251, 9566, 3555, 4587, 25894, 4117, 12174, 7649, 11536, 2423, 7649, 4117, 3794, 9640, 12399, 37495, 22653, 47525, 3224, 7251, 17082, 13546, 1975, 2655, 7435, 40294, 3224, 12399, 6055, 17082, 1829, 13546, 1975, 2655, 7435, 40294, 3224, 11331, 35457, 12174, 7649, 11536, 2423, 7649, 4117, 3794, 9640, 12399, 28242, 13412, 3615, 40228, 47525, 3224, 7251, 2655, 3615, 43042, 5296, 4587, 7649, 11536, 2423, 7649, 4117, 3794, 9640, 12399, 426, 286, 18609, 9725, 286, 7251, 3794, 995, 45865, 426, 314, 18609, 9725, 314], "avg_logprob": -0.1363118456210941, "compression_ratio": 2.2436363636363637, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 394.34, "end": 395.02, "word": "العدسة", "probability": 0.753076171875}, {"start": 395.02, "end": 395.52, "word": " عبارة", "probability": 0.9915771484375}, {"start": 395.52, "end": 395.76, "word": " عن", "probability": 0.9892578125}, {"start": 395.76, "end": 396.12, "word": " مادة", "probability": 0.9749348958333334}, {"start": 396.12, "end": 396.76, "word": " تختلف", "probability": 0.9930013020833334}, {"start": 396.76, "end": 397.1, "word": " عن", "probability": 0.9765625}, {"start": 397.1, "end": 397.98, "word": " المادة", "probability": 0.9568684895833334}, {"start": 397.98, "end": 398.16, "word": " اللي", "probability": 0.83544921875}, {"start": 398.16, "end": 398.38, "word": " كان", "probability": 0.9853515625}, {"start": 398.38, "end": 398.6, "word": " يسري", "probability": 0.7254231770833334}, {"start": 398.6, "end": 398.88, "word": " فيها", "probability": 0.992431640625}, {"start": 398.88, "end": 399.22, "word": " الضوء،", "probability": 0.774462890625}, {"start": 399.22, "end": 399.3, "word": " يعني", "probability": 0.791259765625}, {"start": 399.3, "end": 399.54, "word": " الضوء", "probability": 0.91064453125}, {"start": 399.54, "end": 399.74, "word": " كان", "probability": 0.98583984375}, {"start": 399.74, "end": 400.02, "word": " يسري", "probability": 0.96728515625}, {"start": 400.02, "end": 400.14, "word": " في", "probability": 0.96240234375}, {"start": 400.14, "end": 401.16, "word": " الهواء،", "probability": 0.84091796875}, {"start": 401.16, "end": 401.46, "word": " دخل", "probability": 0.9505208333333334}, {"start": 401.46, "end": 402.56, "word": " للزجاج،", "probability": 0.82822265625}, {"start": 402.56, "end": 403.34, "word": " طبعا", "probability": 0.974609375}, {"start": 403.34, "end": 403.82, "word": " لما", "probability": 0.833251953125}, {"start": 403.82, "end": 404.16, "word": " يكون", "probability": 0.9814453125}, {"start": 404.16, "end": 404.5, "word": " بيسري", "probability": 0.8310546875}, {"start": 404.5, "end": 404.62, "word": " في", "probability": 0.95166015625}, {"start": 404.62, "end": 404.92, "word": " الهواء", "probability": 0.9375}, {"start": 404.92, "end": 405.04, "word": " و", "probability": 0.9794921875}, {"start": 405.04, "end": 405.32, "word": " يدخل", "probability": 0.9466552734375}, {"start": 405.32, "end": 405.78, "word": " لمادة", "probability": 0.89990234375}, {"start": 405.78, "end": 406.06, "word": " تانية", "probability": 0.9934895833333334}, {"start": 406.06, "end": 406.32, "word": " زي", "probability": 0.945556640625}, {"start": 406.32, "end": 406.86, "word": " الزجاج", "probability": 0.9549560546875}, {"start": 406.86, "end": 407.08, "word": " أو", "probability": 0.71142578125}, {"start": 407.08, "end": 407.38, "word": " الماء", "probability": 0.689697265625}, {"start": 407.38, "end": 407.56, "word": " أو", "probability": 0.79638671875}, {"start": 407.56, "end": 407.8, "word": " اي", "probability": 0.6859130859375}, {"start": 407.8, "end": 408.18, "word": " مادة", "probability": 0.9677734375}, {"start": 408.18, "end": 409.0, "word": " أخرى،", "probability": 0.8870849609375}, {"start": 409.0, "end": 409.4, "word": " لابد", "probability": 0.94970703125}, {"start": 409.4, "end": 409.66, "word": " انه", "probability": 0.669921875}, {"start": 409.66, "end": 410.14, "word": " يطبق", "probability": 0.9915771484375}, {"start": 410.14, "end": 410.54, "word": " عليك", "probability": 0.8076171875}, {"start": 410.54, "end": 411.06, "word": " قانون", "probability": 0.96240234375}, {"start": 411.06, "end": 411.7, "word": " الانكسار،", "probability": 0.8367513020833334}, {"start": 411.7, "end": 411.76, "word": " يعني", "probability": 0.9638671875}, {"start": 411.76, "end": 412.1, "word": " بده", "probability": 0.7200927734375}, {"start": 412.1, "end": 412.52, "word": " يغير", "probability": 0.9913736979166666}, {"start": 412.52, "end": 413.62, "word": " اتجاهه،", "probability": 0.9703776041666666}, {"start": 413.62, "end": 414.18, "word": " تغيير", "probability": 0.8721923828125}, {"start": 414.18, "end": 414.86, "word": " اتجاهه", "probability": 0.9873046875}, {"start": 414.86, "end": 415.2, "word": " حسب", "probability": 0.98876953125}, {"start": 415.2, "end": 415.62, "word": " قانون", "probability": 0.9931640625}, {"start": 415.62, "end": 416.6, "word": " الانكسار،", "probability": 0.9767252604166666}, {"start": 416.6, "end": 416.78, "word": " كل", "probability": 0.9599609375}, {"start": 416.78, "end": 417.3, "word": " شعيع", "probability": 0.8154296875}, {"start": 417.3, "end": 417.54, "word": " بده", "probability": 0.8583984375}, {"start": 417.54, "end": 417.96, "word": " يتعرض", "probability": 0.979248046875}, {"start": 417.96, "end": 418.44, "word": " لقانون", "probability": 0.9505615234375}, {"start": 418.44, "end": 419.16, "word": " الانكسار،", "probability": 0.8951416015625}, {"start": 419.16, "end": 419.38, "word": " N", "probability": 0.1971435546875}, {"start": 419.38, "end": 419.7, "word": " I", "probability": 0.57470703125}, {"start": 419.7, "end": 420.0, "word": " sine", "probability": 0.335693359375}, {"start": 420.0, "end": 420.34, "word": " theta", "probability": 0.751953125}, {"start": 420.34, "end": 420.76, "word": " I", "probability": 0.9775390625}, {"start": 420.76, "end": 421.66, "word": " يساوي", "probability": 0.7935791015625}, {"start": 421.66, "end": 422.04, "word": " N", "probability": 0.890625}, {"start": 422.04, "end": 422.26, "word": " T", "probability": 0.939453125}, {"start": 422.26, "end": 422.58, "word": " sine", "probability": 0.91259765625}, {"start": 422.58, "end": 422.92, "word": " theta", "probability": 0.884765625}, {"start": 422.92, "end": 423.14, "word": " T", "probability": 0.98583984375}], "temperature": 1.0}, {"id": 20, "seek": 43400, "start": 423.46, "end": 434.0, "text": "طالما تغير الاتجاه، إذا اتغيرت الحالة التشتتية، هاي الشعاع بدنا نتبعه الشعاع الأعلى، وصل للسطح الفاصل بين الهوى والإجزاز", "tokens": [9566, 6027, 15042, 6055, 17082, 13546, 2423, 9307, 7435, 40294, 12399, 11933, 15730, 1975, 2655, 17082, 13546, 2655, 21542, 6027, 3660, 16712, 8592, 2655, 2655, 10632, 12399, 8032, 47302, 25124, 3615, 45761, 47525, 8315, 8717, 2655, 3555, 3615, 3224, 25124, 3615, 45761, 16247, 3615, 23942, 12399, 4032, 36520, 24976, 3794, 9566, 5016, 27188, 33546, 1211, 49374, 2423, 3224, 2407, 7578, 16070, 28814, 7435, 11622, 31377], "avg_logprob": -0.21070075418913004, "compression_ratio": 1.6204379562043796, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 423.46, "end": 423.88, "word": "طالما", "probability": 0.7460123697916666}, {"start": 423.88, "end": 424.3, "word": " تغير", "probability": 0.9685872395833334}, {"start": 424.3, "end": 425.08, "word": " الاتجاه،", "probability": 0.791357421875}, {"start": 425.08, "end": 425.24, "word": " إذا", "probability": 0.702880859375}, {"start": 425.24, "end": 425.92, "word": " اتغيرت", "probability": 0.90830078125}, {"start": 425.92, "end": 426.44, "word": " الحالة", "probability": 0.9864908854166666}, {"start": 426.44, "end": 427.64, "word": " التشتتية،", "probability": 0.78564453125}, {"start": 427.64, "end": 427.9, "word": " هاي", "probability": 0.6162109375}, {"start": 427.9, "end": 428.3, "word": " الشعاع", "probability": 0.880859375}, {"start": 428.3, "end": 428.58, "word": " بدنا", "probability": 0.892822265625}, {"start": 428.58, "end": 429.24, "word": " نتبعه", "probability": 0.93798828125}, {"start": 429.24, "end": 429.6, "word": " الشعاع", "probability": 0.9309895833333334}, {"start": 429.6, "end": 431.0, "word": " الأعلى،", "probability": 0.931884765625}, {"start": 431.0, "end": 431.36, "word": " وصل", "probability": 0.950927734375}, {"start": 431.36, "end": 432.2, "word": " للسطح", "probability": 0.8297119140625}, {"start": 432.2, "end": 432.7, "word": " الفاصل", "probability": 0.9801432291666666}, {"start": 432.7, "end": 432.94, "word": " بين", "probability": 0.90380859375}, {"start": 432.94, "end": 433.3, "word": " الهوى", "probability": 0.7691650390625}, {"start": 433.3, "end": 434.0, "word": " والإجزاز", "probability": 0.6703125}], "temperature": 1.0}, {"id": 21, "seek": 45433, "start": 434.75, "end": 454.33, "text": "It is applied to it by the law of contraction. This is θI, this is the service normal. The dotted line in yellow is the service normal. This is θI and this is θT. How much is equal to θT to know the direction? We say we apply Ni sin θI is equal to Nt sin θT. Okay. It became inside the lens.", "tokens": [3522, 307, 6456, 281, 309, 538, 264, 2101, 295, 37372, 13, 639, 307, 12622, 40, 11, 341, 307, 264, 2643, 2710, 13, 440, 37459, 1622, 294, 5566, 307, 264, 2643, 2710, 13, 639, 307, 12622, 40, 293, 341, 307, 12622, 51, 13, 1012, 709, 307, 2681, 281, 12622, 51, 281, 458, 264, 3513, 30, 492, 584, 321, 3079, 12370, 3343, 12622, 40, 307, 2681, 281, 426, 83, 3343, 12622, 51, 13, 1033, 13, 467, 3062, 1854, 264, 6765, 13], "avg_logprob": -0.5097656346857548, "compression_ratio": 1.596774193548387, "no_speech_prob": 1.5497207641601562e-06, "words": [{"start": 434.75, "end": 434.95, "word": "It", "probability": 0.1800537109375}, {"start": 434.95, "end": 435.39, "word": " is", "probability": 0.2783203125}, {"start": 435.39, "end": 435.39, "word": " applied", "probability": 0.5205078125}, {"start": 435.39, "end": 435.65, "word": " to", "probability": 0.2060546875}, {"start": 435.65, "end": 435.71, "word": " it", "probability": 0.51220703125}, {"start": 435.71, "end": 435.71, "word": " by", "probability": 0.5419921875}, {"start": 435.71, "end": 435.87, "word": " the", "probability": 0.6533203125}, {"start": 435.87, "end": 435.97, "word": " law", "probability": 0.195556640625}, {"start": 435.97, "end": 436.09, "word": " of", "probability": 0.96533203125}, {"start": 436.09, "end": 436.45, "word": " contraction.", "probability": 0.1702880859375}, {"start": 436.65, "end": 436.73, "word": " This", "probability": 0.509765625}, {"start": 436.73, "end": 436.77, "word": " is", "probability": 0.8076171875}, {"start": 436.77, "end": 437.33, "word": " θI,", "probability": 0.4930419921875}, {"start": 437.47, "end": 437.57, "word": " this", "probability": 0.324462890625}, {"start": 437.57, "end": 437.67, "word": " is", "probability": 0.876953125}, {"start": 437.67, "end": 437.85, "word": " the", "probability": 0.6201171875}, {"start": 437.85, "end": 438.17, "word": " service", "probability": 0.39013671875}, {"start": 438.17, "end": 438.63, "word": " normal.", "probability": 0.794921875}, {"start": 438.85, "end": 439.03, "word": " The", "probability": 0.409423828125}, {"start": 439.03, "end": 439.87, "word": " dotted", "probability": 0.4892578125}, {"start": 439.87, "end": 439.87, "word": " line", "probability": 0.87158203125}, {"start": 439.87, "end": 440.15, "word": " in", "probability": 0.5419921875}, {"start": 440.15, "end": 440.63, "word": " yellow", "probability": 0.74853515625}, {"start": 440.63, "end": 440.81, "word": " is", "probability": 0.421630859375}, {"start": 440.81, "end": 440.89, "word": " the", "probability": 0.80615234375}, {"start": 440.89, "end": 441.17, "word": " service", "probability": 0.379638671875}, {"start": 441.17, "end": 441.57, "word": " normal.", "probability": 0.8583984375}, {"start": 441.93, "end": 442.15, "word": " This", "probability": 0.857421875}, {"start": 442.15, "end": 442.17, "word": " is", "probability": 0.9375}, {"start": 442.17, "end": 442.79, "word": " θI", "probability": 0.95703125}, {"start": 442.79, "end": 443.29, "word": " and", "probability": 0.70751953125}, {"start": 443.29, "end": 443.45, "word": " this", "probability": 0.9404296875}, {"start": 443.45, "end": 443.49, "word": " is", "probability": 0.955078125}, {"start": 443.49, "end": 443.97, "word": " θT.", "probability": 0.947509765625}, {"start": 444.05, "end": 444.27, "word": " How", "probability": 0.79931640625}, {"start": 444.27, "end": 444.37, "word": " much", "probability": 0.8134765625}, {"start": 444.37, "end": 444.47, "word": " is", "probability": 0.40087890625}, {"start": 444.47, "end": 444.73, "word": " equal", "probability": 0.449951171875}, {"start": 444.73, "end": 444.77, "word": " to", "probability": 0.96875}, {"start": 444.77, "end": 445.19, "word": " θT", "probability": 0.9697265625}, {"start": 445.19, "end": 445.37, "word": " to", "probability": 0.400634765625}, {"start": 445.37, "end": 445.69, "word": " know", "probability": 0.6796875}, {"start": 445.69, "end": 445.99, "word": " the", "probability": 0.3828125}, {"start": 445.99, "end": 446.35, "word": " direction?", "probability": 0.79052734375}, {"start": 446.85, "end": 447.01, "word": " We", "probability": 0.7080078125}, {"start": 447.01, "end": 447.19, "word": " say", "probability": 0.5517578125}, {"start": 447.19, "end": 447.37, "word": " we", "probability": 0.289306640625}, {"start": 447.37, "end": 447.73, "word": " apply", "probability": 0.9150390625}, {"start": 447.73, "end": 448.33, "word": " Ni", "probability": 0.6572265625}, {"start": 448.33, "end": 448.69, "word": " sin", "probability": 0.4375}, {"start": 448.69, "end": 449.29, "word": " θI", "probability": 0.886474609375}, {"start": 449.29, "end": 449.49, "word": " is", "probability": 0.1761474609375}, {"start": 449.49, "end": 449.61, "word": " equal", "probability": 0.935546875}, {"start": 449.61, "end": 449.67, "word": " to", "probability": 0.9580078125}, {"start": 449.67, "end": 450.11, "word": " Nt", "probability": 0.84814453125}, {"start": 450.11, "end": 450.41, "word": " sin", "probability": 0.93310546875}, {"start": 450.41, "end": 451.03, "word": " θT.", "probability": 0.979736328125}, {"start": 451.27, "end": 451.39, "word": " Okay.", "probability": 0.363525390625}, {"start": 451.85, "end": 452.21, "word": " It", "probability": 0.64501953125}, {"start": 452.21, "end": 452.31, "word": " became", "probability": 0.481201171875}, {"start": 452.31, "end": 453.33, "word": " inside", "probability": 0.869140625}, {"start": 453.33, "end": 454.05, "word": " the", "probability": 0.89990234375}, {"start": 454.05, "end": 454.33, "word": " lens.", "probability": 0.62060546875}], "temperature": 1.0}, {"id": 22, "seek": 48447, "start": 455.11, "end": 484.47, "text": "Now inside the glass, now it flows inside the glass, it will leave to the air, again it will move from one substance to another substance different from it in density or in refractive index, also again it will apply the law of contraction. The law of contraction says Ni Sin Theta I, this is Theta I, this is the falling candle and this is the column, so this is Theta I and this is Theta T. It is known that when light moves from the middle to the top in density,", "tokens": [13267, 1854, 264, 4276, 11, 586, 309, 12867, 1854, 264, 4276, 11, 309, 486, 1856, 281, 264, 1988, 11, 797, 309, 486, 1286, 490, 472, 12961, 281, 1071, 12961, 819, 490, 309, 294, 10305, 420, 294, 45353, 488, 8186, 11, 611, 797, 309, 486, 3079, 264, 2101, 295, 37372, 13, 440, 2101, 295, 37372, 1619, 12370, 11187, 334, 7664, 286, 11, 341, 307, 334, 7664, 286, 11, 341, 307, 264, 7440, 17968, 293, 341, 307, 264, 7738, 11, 370, 341, 307, 334, 7664, 286, 293, 341, 307, 334, 7664, 314, 13, 467, 307, 2570, 300, 562, 1442, 6067, 490, 264, 2808, 281, 264, 1192, 294, 10305, 11], "avg_logprob": -0.4823495342775627, "compression_ratio": 2.017391304347826, "no_speech_prob": 0.83251953125, "words": [{"start": 455.10999999999996, "end": 455.59, "word": "Now", "probability": 0.4375}, {"start": 455.59, "end": 456.07, "word": " inside", "probability": 0.333740234375}, {"start": 456.07, "end": 456.27, "word": " the", "probability": 0.67529296875}, {"start": 456.27, "end": 456.59, "word": " glass,", "probability": 0.71728515625}, {"start": 456.67, "end": 456.99, "word": " now", "probability": 0.2216796875}, {"start": 456.99, "end": 457.27, "word": " it", "probability": 0.41650390625}, {"start": 457.27, "end": 457.45, "word": " flows", "probability": 0.364990234375}, {"start": 457.45, "end": 457.81, "word": " inside", "probability": 0.7021484375}, {"start": 457.81, "end": 458.05, "word": " the", "probability": 0.853515625}, {"start": 458.05, "end": 458.31, "word": " glass,", "probability": 0.89453125}, {"start": 458.39, "end": 458.41, "word": " it", "probability": 0.619140625}, {"start": 458.41, "end": 458.59, "word": " will", "probability": 0.260009765625}, {"start": 458.59, "end": 458.93, "word": " leave", "probability": 0.296875}, {"start": 458.93, "end": 459.13, "word": " to", "probability": 0.34033203125}, {"start": 459.13, "end": 459.25, "word": " the", "probability": 0.7666015625}, {"start": 459.25, "end": 459.45, "word": " air,", "probability": 0.83642578125}, {"start": 459.89, "end": 460.39, "word": " again", "probability": 0.2108154296875}, {"start": 460.39, "end": 460.61, "word": " it", "probability": 0.62548828125}, {"start": 460.61, "end": 460.69, "word": " will", "probability": 0.591796875}, {"start": 460.69, "end": 460.99, "word": " move", "probability": 0.6494140625}, {"start": 460.99, "end": 461.25, "word": " from", "probability": 0.8623046875}, {"start": 461.25, "end": 461.41, "word": " one", "probability": 0.5146484375}, {"start": 461.41, "end": 461.59, "word": " substance", "probability": 0.65380859375}, {"start": 461.59, "end": 461.75, "word": " to", "probability": 0.96630859375}, {"start": 461.75, "end": 462.27, "word": " another", "probability": 0.8916015625}, {"start": 462.27, "end": 462.73, "word": " substance", "probability": 0.71533203125}, {"start": 462.73, "end": 462.85, "word": " different", "probability": 0.416259765625}, {"start": 462.85, "end": 463.15, "word": " from", "probability": 0.57470703125}, {"start": 463.15, "end": 463.31, "word": " it", "probability": 0.79150390625}, {"start": 463.31, "end": 463.45, "word": " in", "probability": 0.89453125}, {"start": 463.45, "end": 463.97, "word": " density", "probability": 0.388671875}, {"start": 463.97, "end": 464.19, "word": " or", "probability": 0.83984375}, {"start": 464.19, "end": 464.31, "word": " in", "probability": 0.446044921875}, {"start": 464.31, "end": 464.87, "word": " refractive", "probability": 0.78759765625}, {"start": 464.87, "end": 465.29, "word": " index,", "probability": 0.91796875}, {"start": 465.67, "end": 466.05, "word": " also", "probability": 0.373779296875}, {"start": 466.05, "end": 466.59, "word": " again", "probability": 0.77685546875}, {"start": 466.59, "end": 466.91, "word": " it", "probability": 0.4423828125}, {"start": 466.91, "end": 467.09, "word": " will", "probability": 0.70068359375}, {"start": 467.09, "end": 468.23, "word": " apply", "probability": 0.5107421875}, {"start": 468.23, "end": 468.65, "word": " the", "probability": 0.4658203125}, {"start": 468.65, "end": 469.01, "word": " law", "probability": 0.433349609375}, {"start": 469.01, "end": 469.85, "word": " of", "probability": 0.966796875}, {"start": 469.85, "end": 470.27, "word": " contraction.", "probability": 0.394287109375}, {"start": 470.71, "end": 470.87, "word": " The", "probability": 0.70458984375}, {"start": 470.87, "end": 471.09, "word": " law", "probability": 0.916015625}, {"start": 471.09, "end": 471.29, "word": " of", "probability": 0.97216796875}, {"start": 471.29, "end": 471.73, "word": " contraction", "probability": 0.88916015625}, {"start": 471.73, "end": 472.29, "word": " says", "probability": 0.84228515625}, {"start": 472.29, "end": 473.87, "word": " Ni", "probability": 0.323974609375}, {"start": 473.87, "end": 474.29, "word": " Sin", "probability": 0.33251953125}, {"start": 474.29, "end": 474.71, "word": " Theta", "probability": 0.645751953125}, {"start": 474.71, "end": 475.01, "word": " I,", "probability": 0.8369140625}, {"start": 475.17, "end": 475.29, "word": " this", "probability": 0.7666015625}, {"start": 475.29, "end": 475.33, "word": " is", "probability": 0.8876953125}, {"start": 475.33, "end": 475.59, "word": " Theta", "probability": 0.7125244140625}, {"start": 475.59, "end": 475.85, "word": " I,", "probability": 0.96533203125}, {"start": 476.07, "end": 476.69, "word": " this", "probability": 0.73828125}, {"start": 476.69, "end": 476.81, "word": " is", "probability": 0.85400390625}, {"start": 476.81, "end": 476.83, "word": " the", "probability": 0.76123046875}, {"start": 476.83, "end": 477.53, "word": " falling", "probability": 0.362060546875}, {"start": 477.53, "end": 477.53, "word": " candle", "probability": 0.1268310546875}, {"start": 477.53, "end": 478.17, "word": " and", "probability": 0.505859375}, {"start": 478.17, "end": 478.37, "word": " this", "probability": 0.912109375}, {"start": 478.37, "end": 478.45, "word": " is", "probability": 0.92724609375}, {"start": 478.45, "end": 478.77, "word": " the", "probability": 0.87939453125}, {"start": 478.77, "end": 479.09, "word": " column,", "probability": 0.62548828125}, {"start": 479.25, "end": 479.31, "word": " so", "probability": 0.619140625}, {"start": 479.31, "end": 479.49, "word": " this", "probability": 0.93359375}, {"start": 479.49, "end": 479.51, "word": " is", "probability": 0.92138671875}, {"start": 479.51, "end": 479.79, "word": " Theta", "probability": 0.893798828125}, {"start": 479.79, "end": 480.09, "word": " I", "probability": 0.98388671875}, {"start": 480.09, "end": 480.21, "word": " and", "probability": 0.88623046875}, {"start": 480.21, "end": 480.35, "word": " this", "probability": 0.93603515625}, {"start": 480.35, "end": 480.37, "word": " is", "probability": 0.939453125}, {"start": 480.37, "end": 480.65, "word": " Theta", "probability": 0.937744140625}, {"start": 480.65, "end": 480.89, "word": " T.", "probability": 0.97900390625}, {"start": 481.33, "end": 481.37, "word": " It", "probability": 0.67236328125}, {"start": 481.37, "end": 481.37, "word": " is", "probability": 0.8759765625}, {"start": 481.37, "end": 481.57, "word": " known", "probability": 0.73095703125}, {"start": 481.57, "end": 481.73, "word": " that", "probability": 0.63916015625}, {"start": 481.73, "end": 481.89, "word": " when", "probability": 0.890625}, {"start": 481.89, "end": 482.13, "word": " light", "probability": 0.53857421875}, {"start": 482.13, "end": 482.63, "word": " moves", "probability": 0.759765625}, {"start": 482.63, "end": 482.87, "word": " from", "probability": 0.8671875}, {"start": 482.87, "end": 483.05, "word": " the", "probability": 0.39990234375}, {"start": 483.05, "end": 483.33, "word": " middle", "probability": 0.5849609375}, {"start": 483.33, "end": 483.51, "word": " to", "probability": 0.5908203125}, {"start": 483.51, "end": 483.57, "word": " the", "probability": 0.84716796875}, {"start": 483.57, "end": 483.75, "word": " top", "probability": 0.640625}, {"start": 483.75, "end": 483.91, "word": " in", "probability": 0.86767578125}, {"start": 483.91, "end": 484.47, "word": " density,", "probability": 0.68017578125}], "temperature": 1.0}, {"id": 23, "seek": 50162, "start": 485.04, "end": 501.62, "text": "If the intensity is less than 0.5, the beam moves away from the normal surface. That is, I θ T is greater than θ I. Here, the beam moves closer to the normal surface because the light moves from the air to the glass. These two operations led to the direction of the beam instead of being like that.", "tokens": [8031, 264, 13749, 307, 1570, 813, 1958, 13, 20, 11, 264, 14269, 6067, 1314, 490, 264, 2710, 3753, 13, 663, 307, 11, 286, 12622, 314, 307, 5044, 813, 12622, 286, 13, 1692, 11, 264, 14269, 6067, 4966, 281, 264, 2710, 3753, 570, 264, 1442, 6067, 490, 264, 1988, 281, 264, 4276, 13, 1981, 732, 7705, 4684, 281, 264, 3513, 295, 264, 14269, 2602, 295, 885, 411, 300, 13], "avg_logprob": -0.5706521600916765, "compression_ratio": 1.6853932584269662, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 485.04, "end": 485.24, "word": "If", "probability": 0.09588623046875}, {"start": 485.24, "end": 485.5, "word": " the", "probability": 0.296142578125}, {"start": 485.5, "end": 485.5, "word": " intensity", "probability": 0.2109375}, {"start": 485.5, "end": 485.52, "word": " is", "probability": 0.65087890625}, {"start": 485.52, "end": 485.84, "word": " less", "probability": 0.552734375}, {"start": 485.84, "end": 485.98, "word": " than", "probability": 0.70703125}, {"start": 485.98, "end": 486.58, "word": " 0", "probability": 0.17822265625}, {"start": 486.58, "end": 486.84, "word": ".5,", "probability": 0.84765625}, {"start": 487.08, "end": 487.14, "word": " the", "probability": 0.5966796875}, {"start": 487.14, "end": 487.34, "word": " beam", "probability": 0.1458740234375}, {"start": 487.34, "end": 487.66, "word": " moves", "probability": 0.2138671875}, {"start": 487.66, "end": 487.86, "word": " away", "probability": 0.7666015625}, {"start": 487.86, "end": 488.1, "word": " from", "probability": 0.87646484375}, {"start": 488.1, "end": 488.22, "word": " the", "probability": 0.5693359375}, {"start": 488.22, "end": 488.82, "word": " normal", "probability": 0.489013671875}, {"start": 488.82, "end": 488.82, "word": " surface.", "probability": 0.703125}, {"start": 489.02, "end": 489.1, "word": " That", "probability": 0.142822265625}, {"start": 489.1, "end": 489.12, "word": " is,", "probability": 0.59423828125}, {"start": 489.16, "end": 489.3, "word": " I", "probability": 0.572265625}, {"start": 489.3, "end": 489.56, "word": " θ", "probability": 0.3681640625}, {"start": 489.56, "end": 489.84, "word": " T", "probability": 0.4658203125}, {"start": 489.84, "end": 490.02, "word": " is", "probability": 0.270751953125}, {"start": 490.02, "end": 490.26, "word": " greater", "probability": 0.64453125}, {"start": 490.26, "end": 490.46, "word": " than", "probability": 0.9541015625}, {"start": 490.46, "end": 490.8, "word": " θ", "probability": 0.720703125}, {"start": 490.8, "end": 491.12, "word": " I.", "probability": 0.7080078125}, {"start": 491.5, "end": 491.84, "word": " Here,", "probability": 0.434814453125}, {"start": 491.92, "end": 491.96, "word": " the", "probability": 0.90234375}, {"start": 491.96, "end": 492.22, "word": " beam", "probability": 0.87841796875}, {"start": 492.22, "end": 492.42, "word": " moves", "probability": 0.1435546875}, {"start": 492.42, "end": 492.72, "word": " closer", "probability": 0.609375}, {"start": 492.72, "end": 492.92, "word": " to", "probability": 0.85546875}, {"start": 492.92, "end": 493.02, "word": " the", "probability": 0.89501953125}, {"start": 493.02, "end": 493.6, "word": " normal", "probability": 0.7578125}, {"start": 493.6, "end": 493.6, "word": " surface", "probability": 0.8388671875}, {"start": 493.6, "end": 493.9, "word": " because", "probability": 0.63818359375}, {"start": 493.9, "end": 494.04, "word": " the", "probability": 0.62841796875}, {"start": 494.04, "end": 494.14, "word": " light", "probability": 0.77685546875}, {"start": 494.14, "end": 494.56, "word": " moves", "probability": 0.54296875}, {"start": 494.56, "end": 494.78, "word": " from", "probability": 0.869140625}, {"start": 494.78, "end": 494.94, "word": " the", "probability": 0.76953125}, {"start": 494.94, "end": 495.22, "word": " air", "probability": 0.794921875}, {"start": 495.22, "end": 495.6, "word": " to", "probability": 0.90283203125}, {"start": 495.6, "end": 496.14, "word": " the", "probability": 0.7626953125}, {"start": 496.14, "end": 496.44, "word": " glass.", "probability": 0.92236328125}, {"start": 496.8, "end": 497.2, "word": " These", "probability": 0.55517578125}, {"start": 497.2, "end": 498.04, "word": " two", "probability": 0.88134765625}, {"start": 498.04, "end": 498.04, "word": " operations", "probability": 0.77294921875}, {"start": 498.04, "end": 499.18, "word": " led", "probability": 0.68212890625}, {"start": 499.18, "end": 499.52, "word": " to", "probability": 0.8798828125}, {"start": 499.52, "end": 499.66, "word": " the", "probability": 0.75927734375}, {"start": 499.66, "end": 499.9, "word": " direction", "probability": 0.62060546875}, {"start": 499.9, "end": 500.08, "word": " of", "probability": 0.9599609375}, {"start": 500.08, "end": 500.14, "word": " the", "probability": 0.884765625}, {"start": 500.14, "end": 500.38, "word": " beam", "probability": 0.8271484375}, {"start": 500.38, "end": 500.68, "word": " instead", "probability": 0.08197021484375}, {"start": 500.68, "end": 500.76, "word": " of", "probability": 0.97021484375}, {"start": 500.76, "end": 501.04, "word": " being", "probability": 0.3828125}, {"start": 501.04, "end": 501.18, "word": " like", "probability": 0.55029296875}, {"start": 501.18, "end": 501.62, "word": " that.", "probability": 0.48193359375}], "temperature": 1.0}, {"id": 24, "seek": 51816, "start": 502.11, "end": 518.17, "text": "أصبح زي هيك و الشعاع التاني بدل ما كان زي هيك مع الانكسار أصبح زي هيك فأصبح اتغيرت الحالة التشتتية للضوء و أصبح convergent بدل divergent إيش اللي سببه وجود العدسة في الطريق؟", "tokens": [10721, 9381, 49628, 30767, 1829, 39896, 4117, 4032, 25124, 3615, 45761, 16712, 7649, 1829, 47525, 1211, 19446, 25961, 30767, 1829, 39896, 4117, 20449, 2423, 7649, 4117, 3794, 9640, 5551, 9381, 49628, 30767, 1829, 39896, 4117, 6156, 10721, 9381, 49628, 1975, 2655, 17082, 13546, 2655, 21542, 6027, 3660, 16712, 8592, 2655, 2655, 10632, 24976, 11242, 2407, 38207, 4032, 5551, 9381, 49628, 9652, 6930, 47525, 1211, 18558, 6930, 11933, 1829, 8592, 13672, 1829, 8608, 3555, 3555, 3224, 49610, 23328, 18863, 3215, 3794, 3660, 8978, 41950, 16572, 4587, 22807], "avg_logprob": -0.1437679638807801, "compression_ratio": 1.7151162790697674, "no_speech_prob": 7.62939453125e-06, "words": [{"start": 502.11, "end": 502.55, "word": "أصبح", "probability": 0.6826985677083334}, {"start": 502.55, "end": 502.81, "word": " زي", "probability": 0.966796875}, {"start": 502.81, "end": 503.07, "word": " هيك", "probability": 0.939208984375}, {"start": 503.07, "end": 503.45, "word": " و", "probability": 0.26708984375}, {"start": 503.45, "end": 503.83, "word": " الشعاع", "probability": 0.828125}, {"start": 503.83, "end": 504.23, "word": " التاني", "probability": 0.9248046875}, {"start": 504.23, "end": 504.45, "word": " بدل", "probability": 0.95166015625}, {"start": 504.45, "end": 504.63, "word": " ما", "probability": 0.87060546875}, {"start": 504.63, "end": 504.79, "word": " كان", "probability": 0.8984375}, {"start": 504.79, "end": 505.03, "word": " زي", "probability": 0.98583984375}, {"start": 505.03, "end": 505.51, "word": " هيك", "probability": 0.980224609375}, {"start": 505.51, "end": 506.11, "word": " مع", "probability": 0.732421875}, {"start": 506.11, "end": 506.79, "word": " الانكسار", "probability": 0.785595703125}, {"start": 506.79, "end": 507.17, "word": " أصبح", "probability": 0.9803059895833334}, {"start": 507.17, "end": 507.39, "word": " زي", "probability": 0.9892578125}, {"start": 507.39, "end": 507.55, "word": " هيك", "probability": 0.981201171875}, {"start": 507.55, "end": 508.05, "word": " فأصبح", "probability": 0.875732421875}, {"start": 508.05, "end": 508.77, "word": " اتغيرت", "probability": 0.87412109375}, {"start": 508.77, "end": 509.17, "word": " الحالة", "probability": 0.98876953125}, {"start": 509.17, "end": 510.03, "word": " التشتتية", "probability": 0.913671875}, {"start": 510.03, "end": 511.37, "word": " للضوء", "probability": 0.965087890625}, {"start": 511.37, "end": 512.43, "word": " و", "probability": 0.66162109375}, {"start": 512.43, "end": 512.91, "word": " أصبح", "probability": 0.9860026041666666}, {"start": 512.91, "end": 514.11, "word": " convergent", "probability": 0.8896484375}, {"start": 514.11, "end": 514.79, "word": " بدل", "probability": 0.986328125}, {"start": 514.79, "end": 515.45, "word": " divergent", "probability": 0.838134765625}, {"start": 515.45, "end": 515.97, "word": " إيش", "probability": 0.72998046875}, {"start": 515.97, "end": 516.15, "word": " اللي", "probability": 0.98193359375}, {"start": 516.15, "end": 516.67, "word": " سببه", "probability": 0.9561767578125}, {"start": 516.67, "end": 517.11, "word": " وجود", "probability": 0.982177734375}, {"start": 517.11, "end": 517.57, "word": " العدسة", "probability": 0.9835205078125}, {"start": 517.57, "end": 517.67, "word": " في", "probability": 0.9296875}, {"start": 517.67, "end": 518.17, "word": " الطريق؟", "probability": 0.9683837890625}], "temperature": 1.0}, {"id": 25, "seek": 53745, "start": 518.85, "end": 537.45, "text": "How much is collected or how much is scattered according to the power of the lens So, the lens changes the scattering state of light, so it is natural that its strength decreases because the scattering and the accumulation decreases because it decreases Okay, now the main question remains and the central question that we asked", "tokens": [6462, 709, 307, 11087, 420, 577, 709, 307, 21986, 4650, 281, 264, 1347, 295, 264, 6765, 407, 11, 264, 6765, 2962, 264, 42314, 1785, 295, 1442, 11, 370, 309, 307, 3303, 300, 1080, 3800, 24108, 570, 264, 42314, 293, 264, 35647, 24108, 570, 309, 24108, 1033, 11, 586, 264, 2135, 1168, 7023, 293, 264, 5777, 1168, 300, 321, 2351], "avg_logprob": -0.6317708432674408, "compression_ratio": 1.8426966292134832, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 518.85, "end": 519.33, "word": "How", "probability": 0.266357421875}, {"start": 519.33, "end": 519.45, "word": " much", "probability": 0.51171875}, {"start": 519.45, "end": 519.85, "word": " is", "probability": 0.2322998046875}, {"start": 519.85, "end": 520.39, "word": " collected", "probability": 0.09423828125}, {"start": 520.39, "end": 520.71, "word": " or", "probability": 0.65771484375}, {"start": 520.71, "end": 520.83, "word": " how", "probability": 0.29736328125}, {"start": 520.83, "end": 521.05, "word": " much", "probability": 0.8125}, {"start": 521.05, "end": 521.21, "word": " is", "probability": 0.84423828125}, {"start": 521.21, "end": 521.51, "word": " scattered", "probability": 0.373046875}, {"start": 521.51, "end": 521.95, "word": " according", "probability": 0.6005859375}, {"start": 521.95, "end": 522.19, "word": " to", "probability": 0.97216796875}, {"start": 522.19, "end": 522.19, "word": " the", "probability": 0.88134765625}, {"start": 522.19, "end": 522.37, "word": " power", "probability": 0.255126953125}, {"start": 522.37, "end": 522.55, "word": " of", "probability": 0.974609375}, {"start": 522.55, "end": 522.61, "word": " the", "probability": 0.85791015625}, {"start": 522.61, "end": 522.85, "word": " lens", "probability": 0.66259765625}, {"start": 522.85, "end": 523.17, "word": " So,", "probability": 0.460205078125}, {"start": 523.33, "end": 523.41, "word": " the", "probability": 0.81591796875}, {"start": 523.41, "end": 523.79, "word": " lens", "probability": 0.68359375}, {"start": 523.79, "end": 524.93, "word": " changes", "probability": 0.7314453125}, {"start": 524.93, "end": 525.19, "word": " the", "probability": 0.76025390625}, {"start": 525.19, "end": 526.01, "word": " scattering", "probability": 0.57373046875}, {"start": 526.01, "end": 526.31, "word": " state", "probability": 0.384521484375}, {"start": 526.31, "end": 526.45, "word": " of", "probability": 0.462158203125}, {"start": 526.45, "end": 526.69, "word": " light,", "probability": 0.76611328125}, {"start": 526.91, "end": 527.05, "word": " so", "probability": 0.499267578125}, {"start": 527.05, "end": 527.19, "word": " it", "probability": 0.76318359375}, {"start": 527.19, "end": 527.27, "word": " is", "probability": 0.54931640625}, {"start": 527.27, "end": 527.73, "word": " natural", "probability": 0.53369140625}, {"start": 527.73, "end": 528.17, "word": " that", "probability": 0.61376953125}, {"start": 528.17, "end": 528.35, "word": " its", "probability": 0.46337890625}, {"start": 528.35, "end": 528.93, "word": " strength", "probability": 0.23046875}, {"start": 528.93, "end": 529.05, "word": " decreases", "probability": 0.67529296875}, {"start": 529.05, "end": 530.27, "word": " because", "probability": 0.263671875}, {"start": 530.27, "end": 530.63, "word": " the", "probability": 0.2744140625}, {"start": 530.63, "end": 531.09, "word": " scattering", "probability": 0.8896484375}, {"start": 531.09, "end": 531.33, "word": " and", "probability": 0.9267578125}, {"start": 531.33, "end": 531.39, "word": " the", "probability": 0.382568359375}, {"start": 531.39, "end": 531.79, "word": " accumulation", "probability": 0.364501953125}, {"start": 531.79, "end": 532.35, "word": " decreases", "probability": 0.5888671875}, {"start": 532.35, "end": 532.93, "word": " because", "probability": 0.11260986328125}, {"start": 532.93, "end": 533.05, "word": " it", "probability": 0.68798828125}, {"start": 533.05, "end": 533.19, "word": " decreases", "probability": 0.80859375}, {"start": 533.19, "end": 533.71, "word": " Okay,", "probability": 0.389404296875}, {"start": 534.09, "end": 534.57, "word": " now", "probability": 0.87451171875}, {"start": 534.57, "end": 535.13, "word": " the", "probability": 0.439208984375}, {"start": 535.13, "end": 535.31, "word": " main", "probability": 0.68896484375}, {"start": 535.31, "end": 536.09, "word": " question", "probability": 0.53173828125}, {"start": 536.09, "end": 536.09, "word": " remains", "probability": 0.472412109375}, {"start": 536.09, "end": 536.27, "word": " and", "probability": 0.6728515625}, {"start": 536.27, "end": 536.39, "word": " the", "probability": 0.7548828125}, {"start": 536.39, "end": 536.63, "word": " central", "probability": 0.69189453125}, {"start": 536.63, "end": 536.77, "word": " question", "probability": 0.55419921875}, {"start": 536.77, "end": 536.89, "word": " that", "probability": 0.67333984375}, {"start": 536.89, "end": 537.11, "word": " we", "probability": 0.94970703125}, {"start": 537.11, "end": 537.45, "word": " asked", "probability": 0.78369140625}], "temperature": 1.0}, {"id": 26, "seek": 56585, "start": 537.89, "end": 565.85, "text": "You see, the power of the lens, we said the power of the lens divided by the diopter, for example, plus ten diopters Does the plus ten diopters spread all over the front surface or all over the back surface? Or is it divided into two equal parts? We say according to the oscillation of the light that came According to the oscillation of the light that came If we imagine that the oscillation is the light", "tokens": [3223, 536, 11, 264, 1347, 295, 264, 6765, 11, 321, 848, 264, 1347, 295, 264, 6765, 6666, 538, 264, 1026, 404, 391, 11, 337, 1365, 11, 1804, 2064, 1026, 404, 1559, 4402, 264, 1804, 2064, 1026, 404, 1559, 3974, 439, 670, 264, 1868, 3753, 420, 439, 670, 264, 646, 3753, 30, 1610, 307, 309, 6666, 666, 732, 2681, 3166, 30, 492, 584, 4650, 281, 264, 18225, 399, 295, 264, 1442, 300, 1361, 7328, 281, 264, 18225, 399, 295, 264, 1442, 300, 1361, 759, 321, 3811, 300, 264, 18225, 399, 307, 264, 1442], "avg_logprob": -0.45900537378044537, "compression_ratio": 2.025, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 537.89, "end": 538.13, "word": "You", "probability": 0.037750244140625}, {"start": 538.13, "end": 538.53, "word": " see,", "probability": 0.724609375}, {"start": 538.81, "end": 538.93, "word": " the", "probability": 0.67529296875}, {"start": 538.93, "end": 539.09, "word": " power", "probability": 0.331787109375}, {"start": 539.09, "end": 539.29, "word": " of", "probability": 0.96484375}, {"start": 539.29, "end": 539.37, "word": " the", "probability": 0.72265625}, {"start": 539.37, "end": 539.57, "word": " lens,", "probability": 0.55908203125}, {"start": 539.69, "end": 539.83, "word": " we", "probability": 0.76416015625}, {"start": 539.83, "end": 540.15, "word": " said", "probability": 0.60791015625}, {"start": 540.15, "end": 540.39, "word": " the", "probability": 0.413330078125}, {"start": 540.39, "end": 540.49, "word": " power", "probability": 0.73974609375}, {"start": 540.49, "end": 540.63, "word": " of", "probability": 0.958984375}, {"start": 540.63, "end": 540.75, "word": " the", "probability": 0.8935546875}, {"start": 540.75, "end": 541.01, "word": " lens", "probability": 0.880859375}, {"start": 541.01, "end": 541.41, "word": " divided", "probability": 0.1761474609375}, {"start": 541.41, "end": 541.67, "word": " by", "probability": 0.6005859375}, {"start": 541.67, "end": 541.79, "word": " the", "probability": 0.744140625}, {"start": 541.79, "end": 542.27, "word": " diopter,", "probability": 0.8942057291666666}, {"start": 542.37, "end": 542.47, "word": " for", "probability": 0.796875}, {"start": 542.47, "end": 542.69, "word": " example,", "probability": 0.93359375}, {"start": 542.83, "end": 543.11, "word": " plus", "probability": 0.69775390625}, {"start": 543.11, "end": 543.49, "word": " ten", "probability": 0.423095703125}, {"start": 543.49, "end": 544.05, "word": " diopters", "probability": 0.8738606770833334}, {"start": 544.05, "end": 544.79, "word": " Does", "probability": 0.2205810546875}, {"start": 544.79, "end": 544.95, "word": " the", "probability": 0.533203125}, {"start": 544.95, "end": 545.19, "word": " plus", "probability": 0.86962890625}, {"start": 545.19, "end": 545.49, "word": " ten", "probability": 0.88671875}, {"start": 545.49, "end": 546.01, "word": " diopters", "probability": 0.9114583333333334}, {"start": 546.01, "end": 546.47, "word": " spread", "probability": 0.151123046875}, {"start": 546.47, "end": 546.91, "word": " all", "probability": 0.440185546875}, {"start": 546.91, "end": 547.85, "word": " over", "probability": 0.88525390625}, {"start": 547.85, "end": 548.23, "word": " the", "probability": 0.92529296875}, {"start": 548.23, "end": 548.81, "word": " front", "probability": 0.8857421875}, {"start": 548.81, "end": 549.03, "word": " surface", "probability": 0.6220703125}, {"start": 549.03, "end": 549.39, "word": " or", "probability": 0.384033203125}, {"start": 549.39, "end": 550.29, "word": " all", "probability": 0.39892578125}, {"start": 550.29, "end": 550.89, "word": " over", "probability": 0.65380859375}, {"start": 550.89, "end": 551.07, "word": " the", "probability": 0.919921875}, {"start": 551.07, "end": 551.61, "word": " back", "probability": 0.68115234375}, {"start": 551.61, "end": 551.81, "word": " surface?", "probability": 0.80517578125}, {"start": 551.87, "end": 552.33, "word": " Or", "probability": 0.78515625}, {"start": 552.33, "end": 552.59, "word": " is", "probability": 0.343505859375}, {"start": 552.59, "end": 552.59, "word": " it", "probability": 0.638671875}, {"start": 552.59, "end": 553.13, "word": " divided", "probability": 0.82763671875}, {"start": 553.13, "end": 553.85, "word": " into", "probability": 0.82470703125}, {"start": 553.85, "end": 554.39, "word": " two", "probability": 0.8134765625}, {"start": 554.39, "end": 554.89, "word": " equal", "probability": 0.75537109375}, {"start": 554.89, "end": 555.23, "word": " parts?", "probability": 0.79248046875}, {"start": 555.47, "end": 555.81, "word": " We", "probability": 0.466796875}, {"start": 555.81, "end": 556.07, "word": " say", "probability": 0.8935546875}, {"start": 556.07, "end": 556.49, "word": " according", "probability": 0.3974609375}, {"start": 556.49, "end": 556.75, "word": " to", "probability": 0.97119140625}, {"start": 556.75, "end": 556.87, "word": " the", "probability": 0.86083984375}, {"start": 556.87, "end": 557.41, "word": " oscillation", "probability": 0.55816650390625}, {"start": 557.41, "end": 557.81, "word": " of", "probability": 0.9423828125}, {"start": 557.81, "end": 558.05, "word": " the", "probability": 0.6767578125}, {"start": 558.05, "end": 558.31, "word": " light", "probability": 0.83740234375}, {"start": 558.31, "end": 558.49, "word": " that", "probability": 0.87744140625}, {"start": 558.49, "end": 558.73, "word": " came", "probability": 0.7451171875}, {"start": 558.73, "end": 559.21, "word": " According", "probability": 0.309326171875}, {"start": 559.21, "end": 559.39, "word": " to", "probability": 0.97216796875}, {"start": 559.39, "end": 559.59, "word": " the", "probability": 0.89013671875}, {"start": 559.59, "end": 560.11, "word": " oscillation", "probability": 0.898681640625}, {"start": 560.11, "end": 560.67, "word": " of", "probability": 0.95703125}, {"start": 560.67, "end": 561.01, "word": " the", "probability": 0.82861328125}, {"start": 561.01, "end": 561.15, "word": " light", "probability": 0.8466796875}, {"start": 561.15, "end": 561.37, "word": " that", "probability": 0.92822265625}, {"start": 561.37, "end": 561.65, "word": " came", "probability": 0.8505859375}, {"start": 561.65, "end": 562.17, "word": " If", "probability": 0.8974609375}, {"start": 562.17, "end": 562.33, "word": " we", "probability": 0.9443359375}, {"start": 562.33, "end": 562.79, "word": " imagine", "probability": 0.7001953125}, {"start": 562.79, "end": 563.15, "word": " that", "probability": 0.88720703125}, {"start": 563.15, "end": 563.35, "word": " the", "probability": 0.580078125}, {"start": 563.35, "end": 564.47, "word": " oscillation", "probability": 0.895263671875}, {"start": 564.47, "end": 565.55, "word": " is", "probability": 0.31689453125}, {"start": 565.55, "end": 565.75, "word": " the", "probability": 0.58251953125}, {"start": 565.75, "end": 565.85, "word": " light", "probability": 0.199951171875}], "temperature": 1.0}, {"id": 27, "seek": 59230, "start": 566.59, "end": 592.31, "text": "Den means that when the scattered rays collide with the front surface, the intensity of the lens will be enough to cancel the scattering. So if the scattering is severe, the intensity of the lens that will go to the front surface will be high. Let's assume that", "tokens": [35, 268, 1355, 300, 562, 264, 21986, 24417, 49093, 365, 264, 1868, 3753, 11, 264, 13749, 295, 264, 6765, 486, 312, 1547, 281, 10373, 264, 42314, 13, 407, 498, 264, 42314, 307, 8922, 11, 264, 13749, 295, 264, 6765, 300, 486, 352, 281, 264, 1868, 3753, 486, 312, 1090, 13, 961, 311, 6552, 300], "avg_logprob": -0.6585227316076105, "compression_ratio": 1.7755102040816326, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 566.59, "end": 567.35, "word": "Den", "probability": 0.47686767578125}, {"start": 567.35, "end": 568.05, "word": " means", "probability": 0.2021484375}, {"start": 568.05, "end": 568.61, "word": " that", "probability": 0.456298828125}, {"start": 568.61, "end": 569.67, "word": " when", "probability": 0.83447265625}, {"start": 569.67, "end": 570.77, "word": " the", "probability": 0.240234375}, {"start": 570.77, "end": 572.31, "word": " scattered", "probability": 0.047698974609375}, {"start": 572.31, "end": 572.71, "word": " rays", "probability": 0.68115234375}, {"start": 572.71, "end": 573.61, "word": " collide", "probability": 0.468017578125}, {"start": 573.61, "end": 574.75, "word": " with", "probability": 0.71337890625}, {"start": 574.75, "end": 574.91, "word": " the", "probability": 0.8837890625}, {"start": 574.91, "end": 575.73, "word": " front", "probability": 0.60400390625}, {"start": 575.73, "end": 575.85, "word": " surface,", "probability": 0.75439453125}, {"start": 577.37, "end": 577.99, "word": " the", "probability": 0.302001953125}, {"start": 577.99, "end": 578.43, "word": " intensity", "probability": 0.1312255859375}, {"start": 578.43, "end": 578.65, "word": " of", "probability": 0.9169921875}, {"start": 578.65, "end": 578.81, "word": " the", "probability": 0.83251953125}, {"start": 578.81, "end": 579.21, "word": " lens", "probability": 0.28662109375}, {"start": 579.21, "end": 579.49, "word": " will", "probability": 0.445556640625}, {"start": 579.49, "end": 579.49, "word": " be", "probability": 0.250732421875}, {"start": 579.49, "end": 579.49, "word": " enough", "probability": 0.40283203125}, {"start": 579.49, "end": 580.69, "word": " to", "probability": 0.9130859375}, {"start": 580.69, "end": 581.05, "word": " cancel", "probability": 0.328857421875}, {"start": 581.05, "end": 581.31, "word": " the", "probability": 0.73681640625}, {"start": 581.31, "end": 581.65, "word": " scattering.", "probability": 0.1656494140625}, {"start": 582.15, "end": 582.91, "word": " So", "probability": 0.57470703125}, {"start": 582.91, "end": 583.11, "word": " if", "probability": 0.66943359375}, {"start": 583.11, "end": 583.31, "word": " the", "probability": 0.595703125}, {"start": 583.31, "end": 583.69, "word": " scattering", "probability": 0.75146484375}, {"start": 583.69, "end": 583.93, "word": " is", "probability": 0.880859375}, {"start": 583.93, "end": 584.29, "word": " severe,", "probability": 0.1722412109375}, {"start": 584.55, "end": 584.61, "word": " the", "probability": 0.708984375}, {"start": 584.61, "end": 585.17, "word": " intensity", "probability": 0.81689453125}, {"start": 585.17, "end": 585.59, "word": " of", "probability": 0.94580078125}, {"start": 585.59, "end": 586.45, "word": " the", "probability": 0.91064453125}, {"start": 586.45, "end": 586.75, "word": " lens", "probability": 0.76611328125}, {"start": 586.75, "end": 586.95, "word": " that", "probability": 0.4609375}, {"start": 586.95, "end": 587.63, "word": " will", "probability": 0.65673828125}, {"start": 587.63, "end": 587.83, "word": " go", "probability": 0.290771484375}, {"start": 587.83, "end": 587.99, "word": " to", "probability": 0.9111328125}, {"start": 587.99, "end": 588.11, "word": " the", "probability": 0.9150390625}, {"start": 588.11, "end": 588.81, "word": " front", "probability": 0.91650390625}, {"start": 588.81, "end": 588.81, "word": " surface", "probability": 0.818359375}, {"start": 588.81, "end": 589.11, "word": " will", "probability": 0.828125}, {"start": 589.11, "end": 589.49, "word": " be", "probability": 0.92578125}, {"start": 589.49, "end": 589.95, "word": " high.", "probability": 0.26708984375}, {"start": 590.29, "end": 590.65, "word": " Let's", "probability": 0.71533203125}, {"start": 590.65, "end": 590.97, "word": " assume", "probability": 0.416259765625}, {"start": 590.97, "end": 592.31, "word": " that", "probability": 0.63623046875}], "temperature": 1.0}, {"id": 28, "seek": 61752, "start": 592.88, "end": 617.52, "text": "The light is scattered to the extent of minus eight diopters It will be scattered from the plus ten diopters to the plus eight diopters to cancel the scattering of the scattered rays Can a person say .. I mean we need an example with numbers, we say as follows The body is at a distance .. at a distance", "tokens": [2278, 1442, 307, 21986, 281, 264, 8396, 295, 3175, 3180, 1026, 404, 1559, 467, 486, 312, 21986, 490, 264, 1804, 2064, 1026, 404, 1559, 281, 264, 1804, 3180, 1026, 404, 1559, 281, 10373, 264, 42314, 295, 264, 21986, 24417, 1664, 257, 954, 584, 4386, 286, 914, 321, 643, 364, 1365, 365, 3547, 11, 321, 584, 382, 10002, 440, 1772, 307, 412, 257, 4560, 4386, 412, 257, 4560], "avg_logprob": -0.5808823380400153, "compression_ratio": 1.7413793103448276, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 592.88, "end": 593.2, "word": "The", "probability": 0.1527099609375}, {"start": 593.2, "end": 593.54, "word": " light", "probability": 0.779296875}, {"start": 593.54, "end": 593.76, "word": " is", "probability": 0.450927734375}, {"start": 593.76, "end": 594.26, "word": " scattered", "probability": 0.2164306640625}, {"start": 594.26, "end": 594.52, "word": " to", "probability": 0.203369140625}, {"start": 594.52, "end": 594.66, "word": " the", "probability": 0.250244140625}, {"start": 594.66, "end": 595.06, "word": " extent", "probability": 0.5283203125}, {"start": 595.06, "end": 595.3, "word": " of", "probability": 0.8037109375}, {"start": 595.3, "end": 595.84, "word": " minus", "probability": 0.2354736328125}, {"start": 595.84, "end": 596.34, "word": " eight", "probability": 0.51025390625}, {"start": 596.34, "end": 596.96, "word": " diopters", "probability": 0.876953125}, {"start": 596.96, "end": 599.1, "word": " It", "probability": 0.51123046875}, {"start": 599.1, "end": 599.34, "word": " will", "probability": 0.6396484375}, {"start": 599.34, "end": 599.5, "word": " be", "probability": 0.437255859375}, {"start": 599.5, "end": 599.68, "word": " scattered", "probability": 0.1151123046875}, {"start": 599.68, "end": 599.92, "word": " from", "probability": 0.74560546875}, {"start": 599.92, "end": 600.12, "word": " the", "probability": 0.34228515625}, {"start": 600.12, "end": 600.46, "word": " plus", "probability": 0.8330078125}, {"start": 600.46, "end": 600.9, "word": " ten", "probability": 0.8232421875}, {"start": 600.9, "end": 601.56, "word": " diopters", "probability": 0.92236328125}, {"start": 601.56, "end": 602.38, "word": " to", "probability": 0.59716796875}, {"start": 602.38, "end": 602.78, "word": " the", "probability": 0.64990234375}, {"start": 602.78, "end": 602.78, "word": " plus", "probability": 0.705078125}, {"start": 602.78, "end": 603.22, "word": " eight", "probability": 0.9072265625}, {"start": 603.22, "end": 603.76, "word": " diopters", "probability": 0.93896484375}, {"start": 603.76, "end": 604.16, "word": " to", "probability": 0.378173828125}, {"start": 604.16, "end": 604.66, "word": " cancel", "probability": 0.6767578125}, {"start": 604.66, "end": 604.9, "word": " the", "probability": 0.748046875}, {"start": 604.9, "end": 605.32, "word": " scattering", "probability": 0.66748046875}, {"start": 605.32, "end": 606.5, "word": " of", "probability": 0.8837890625}, {"start": 606.5, "end": 606.82, "word": " the", "probability": 0.56103515625}, {"start": 606.82, "end": 607.08, "word": " scattered", "probability": 0.2215576171875}, {"start": 607.08, "end": 607.28, "word": " rays", "probability": 0.5986328125}, {"start": 607.28, "end": 608.48, "word": " Can", "probability": 0.1258544921875}, {"start": 608.48, "end": 608.76, "word": " a", "probability": 0.29052734375}, {"start": 608.76, "end": 608.8, "word": " person", "probability": 0.76416015625}, {"start": 608.8, "end": 609.02, "word": " say", "probability": 0.83642578125}, {"start": 609.02, "end": 609.28, "word": " ..", "probability": 0.409423828125}, {"start": 609.28, "end": 609.4, "word": " I", "probability": 0.333740234375}, {"start": 609.4, "end": 609.5, "word": " mean", "probability": 0.94921875}, {"start": 609.5, "end": 609.58, "word": " we", "probability": 0.31494140625}, {"start": 609.58, "end": 609.78, "word": " need", "probability": 0.626953125}, {"start": 609.78, "end": 610.44, "word": " an", "probability": 0.71728515625}, {"start": 610.44, "end": 610.74, "word": " example", "probability": 0.978515625}, {"start": 610.74, "end": 610.92, "word": " with", "probability": 0.30517578125}, {"start": 610.92, "end": 611.28, "word": " numbers,", "probability": 0.7734375}, {"start": 611.38, "end": 611.62, "word": " we", "probability": 0.6552734375}, {"start": 611.62, "end": 611.76, "word": " say", "probability": 0.7314453125}, {"start": 611.76, "end": 611.94, "word": " as", "probability": 0.64111328125}, {"start": 611.94, "end": 612.3, "word": " follows", "probability": 0.69287109375}, {"start": 612.3, "end": 613.52, "word": " The", "probability": 0.54443359375}, {"start": 613.52, "end": 613.94, "word": " body", "probability": 0.79052734375}, {"start": 613.94, "end": 614.72, "word": " is", "probability": 0.49951171875}, {"start": 614.72, "end": 614.78, "word": " at", "probability": 0.246337890625}, {"start": 614.78, "end": 615.24, "word": " a", "probability": 0.65625}, {"start": 615.24, "end": 615.24, "word": " distance", "probability": 0.79443359375}, {"start": 615.24, "end": 616.04, "word": " ..", "probability": 0.59912109375}, {"start": 616.04, "end": 617.18, "word": " at", "probability": 0.6435546875}, {"start": 617.18, "end": 617.36, "word": " a", "probability": 0.97705078125}, {"start": 617.36, "end": 617.52, "word": " distance", "probability": 0.9111328125}], "temperature": 1.0}, {"id": 29, "seek": 64744, "start": 622.1, "end": 647.44, "text": "on a distance of twelve and a half centimeters from the lens which means that the light is emitted from the object when it reaches the surface of the front lens which is twelve and a half centimeters from the lens How much is the reduced divergence? The reduced divergence which is U is equal to negative N over O and is equal to", "tokens": [266, 257, 4560, 295, 14390, 293, 257, 1922, 23300, 490, 264, 6765, 597, 1355, 300, 264, 1442, 307, 44897, 490, 264, 2657, 562, 309, 14235, 264, 3753, 295, 264, 1868, 6765, 597, 307, 14390, 293, 257, 1922, 23300, 490, 264, 6765, 1012, 709, 307, 264, 9212, 47387, 30, 440, 9212, 47387, 597, 307, 624, 307, 2681, 281, 3671, 426, 670, 422, 293, 307, 2681, 281], "avg_logprob": -0.4623579572547566, "compression_ratio": 1.970059880239521, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 622.1, "end": 622.36, "word": "on", "probability": 0.14013671875}, {"start": 622.36, "end": 622.62, "word": " a", "probability": 0.407958984375}, {"start": 622.62, "end": 622.62, "word": " distance", "probability": 0.8291015625}, {"start": 622.62, "end": 622.66, "word": " of", "probability": 0.71875}, {"start": 622.66, "end": 623.06, "word": " twelve", "probability": 0.388916015625}, {"start": 623.06, "end": 623.74, "word": " and", "probability": 0.7021484375}, {"start": 623.74, "end": 623.92, "word": " a", "probability": 0.8486328125}, {"start": 623.92, "end": 624.04, "word": " half", "probability": 0.876953125}, {"start": 624.04, "end": 624.04, "word": " centimeters", "probability": 0.634765625}, {"start": 624.04, "end": 624.78, "word": " from", "probability": 0.8564453125}, {"start": 624.78, "end": 624.92, "word": " the", "probability": 0.8857421875}, {"start": 624.92, "end": 625.24, "word": " lens", "probability": 0.65283203125}, {"start": 625.24, "end": 626.22, "word": " which", "probability": 0.09320068359375}, {"start": 626.22, "end": 626.34, "word": " means", "probability": 0.86767578125}, {"start": 626.34, "end": 626.78, "word": " that", "probability": 0.381103515625}, {"start": 626.78, "end": 626.8, "word": " the", "probability": 0.7275390625}, {"start": 626.8, "end": 626.94, "word": " light", "probability": 0.853515625}, {"start": 626.94, "end": 627.1, "word": " is", "probability": 0.24609375}, {"start": 627.1, "end": 627.32, "word": " emitted", "probability": 0.66015625}, {"start": 627.32, "end": 627.56, "word": " from", "probability": 0.79541015625}, {"start": 627.56, "end": 627.72, "word": " the", "probability": 0.8818359375}, {"start": 627.72, "end": 628.32, "word": " object", "probability": 0.93994140625}, {"start": 628.32, "end": 629.52, "word": " when", "probability": 0.12103271484375}, {"start": 629.52, "end": 629.74, "word": " it", "probability": 0.88525390625}, {"start": 629.74, "end": 629.94, "word": " reaches", "probability": 0.783203125}, {"start": 629.94, "end": 630.14, "word": " the", "probability": 0.89599609375}, {"start": 630.14, "end": 630.24, "word": " surface", "probability": 0.381591796875}, {"start": 630.24, "end": 630.4, "word": " of", "probability": 0.9609375}, {"start": 630.4, "end": 630.48, "word": " the", "probability": 0.91455078125}, {"start": 630.48, "end": 631.14, "word": " front", "probability": 0.599609375}, {"start": 631.14, "end": 631.32, "word": " lens", "probability": 0.81494140625}, {"start": 631.32, "end": 631.64, "word": " which", "probability": 0.6865234375}, {"start": 631.64, "end": 631.82, "word": " is", "probability": 0.90771484375}, {"start": 631.82, "end": 632.34, "word": " twelve", "probability": 0.685546875}, {"start": 632.34, "end": 633.36, "word": " and", "probability": 0.88525390625}, {"start": 633.36, "end": 633.56, "word": " a", "probability": 0.97021484375}, {"start": 633.56, "end": 633.64, "word": " half", "probability": 0.84228515625}, {"start": 633.64, "end": 633.64, "word": " centimeters", "probability": 0.88916015625}, {"start": 633.64, "end": 634.48, "word": " from", "probability": 0.55322265625}, {"start": 634.48, "end": 634.92, "word": " the", "probability": 0.88916015625}, {"start": 634.92, "end": 635.24, "word": " lens", "probability": 0.736328125}, {"start": 635.24, "end": 635.5, "word": " How", "probability": 0.1693115234375}, {"start": 635.5, "end": 635.76, "word": " much", "probability": 0.7236328125}, {"start": 635.76, "end": 635.8, "word": " is", "probability": 0.84521484375}, {"start": 635.8, "end": 635.88, "word": " the", "probability": 0.67822265625}, {"start": 635.88, "end": 636.24, "word": " reduced", "probability": 0.94970703125}, {"start": 636.24, "end": 636.74, "word": " divergence?", "probability": 0.466064453125}, {"start": 637.36, "end": 637.52, "word": " The", "probability": 0.724609375}, {"start": 637.52, "end": 637.9, "word": " reduced", "probability": 0.96240234375}, {"start": 637.9, "end": 638.36, "word": " divergence", "probability": 0.99072265625}, {"start": 638.36, "end": 638.62, "word": " which", "probability": 0.61962890625}, {"start": 638.62, "end": 638.78, "word": " is", "probability": 0.9130859375}, {"start": 638.78, "end": 639.14, "word": " U", "probability": 0.53662109375}, {"start": 639.14, "end": 639.92, "word": " is", "probability": 0.50830078125}, {"start": 639.92, "end": 640.32, "word": " equal", "probability": 0.84521484375}, {"start": 640.32, "end": 641.26, "word": " to", "probability": 0.56591796875}, {"start": 641.26, "end": 641.8, "word": " negative", "probability": 0.451904296875}, {"start": 641.8, "end": 643.24, "word": " N", "probability": 0.83251953125}, {"start": 643.24, "end": 644.5, "word": " over", "probability": 0.273681640625}, {"start": 644.5, "end": 644.82, "word": " O", "probability": 0.9697265625}, {"start": 644.82, "end": 646.76, "word": " and", "probability": 0.56298828125}, {"start": 646.76, "end": 646.9, "word": " is", "probability": 0.266845703125}, {"start": 646.9, "end": 647.18, "word": " equal", "probability": 0.8798828125}, {"start": 647.18, "end": 647.44, "word": " to", "probability": 0.92724609375}], "temperature": 1.0}, {"id": 30, "seek": 66512, "start": 648.88, "end": 665.12, "text": "minus 1 over O which is 12.5 cm which is 125 out of 1000 meters which is equal to minus 8 diopters", "tokens": [2367, 301, 502, 670, 422, 597, 307, 2272, 13, 20, 14668, 597, 307, 25276, 484, 295, 9714, 8146, 597, 307, 2681, 281, 3175, 1649, 1026, 404, 1559], "avg_logprob": -0.5638950935431889, "compression_ratio": 1.1951219512195121, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 648.88, "end": 649.72, "word": "minus", "probability": 0.6090087890625}, {"start": 649.72, "end": 650.8, "word": " 1", "probability": 0.51318359375}, {"start": 650.8, "end": 651.64, "word": " over", "probability": 0.390625}, {"start": 651.64, "end": 652.02, "word": " O", "probability": 0.55517578125}, {"start": 652.02, "end": 652.6, "word": " which", "probability": 0.1533203125}, {"start": 652.6, "end": 652.6, "word": " is", "probability": 0.8232421875}, {"start": 652.6, "end": 652.9, "word": " 12", "probability": 0.87109375}, {"start": 652.9, "end": 653.9, "word": ".5", "probability": 0.875732421875}, {"start": 653.9, "end": 653.9, "word": " cm", "probability": 0.32958984375}, {"start": 653.9, "end": 654.04, "word": " which", "probability": 0.51806640625}, {"start": 654.04, "end": 654.14, "word": " is", "probability": 0.68896484375}, {"start": 654.14, "end": 654.86, "word": " 125", "probability": 0.96240234375}, {"start": 654.86, "end": 655.66, "word": " out", "probability": 0.139892578125}, {"start": 655.66, "end": 655.66, "word": " of", "probability": 0.9765625}, {"start": 655.66, "end": 655.96, "word": " 1000", "probability": 0.86572265625}, {"start": 655.96, "end": 656.56, "word": " meters", "probability": 0.4501953125}, {"start": 656.56, "end": 659.96, "word": " which", "probability": 0.161376953125}, {"start": 659.96, "end": 660.18, "word": " is", "probability": 0.734375}, {"start": 660.18, "end": 660.46, "word": " equal", "probability": 0.6533203125}, {"start": 660.46, "end": 661.58, "word": " to", "probability": 0.9306640625}, {"start": 661.58, "end": 662.22, "word": " minus", "probability": 0.6865234375}, {"start": 662.22, "end": 663.76, "word": " 8", "probability": 0.85302734375}, {"start": 663.76, "end": 665.12, "word": " diopters", "probability": 0.6385091145833334}], "temperature": 1.0}, {"id": 31, "seek": 69395, "start": 667.25, "end": 693.95, "text": "reduced virgins minus eight diopters and I have the power here plus ten diopters to cancel this fluctuation to cancel this fluctuation from plus ten diopters to plus ten diopters the power of the lens the total power of the lens plus ten diopters will be divided into two parts plus eight", "tokens": [265, 769, 1232, 4107, 23320, 3175, 3180, 1026, 404, 1559, 293, 286, 362, 264, 1347, 510, 1804, 2064, 1026, 404, 1559, 281, 10373, 341, 23448, 16073, 281, 10373, 341, 23448, 16073, 490, 1804, 2064, 1026, 404, 1559, 281, 1804, 2064, 1026, 404, 1559, 264, 1347, 295, 264, 6765, 264, 3217, 1347, 295, 264, 6765, 1804, 2064, 1026, 404, 1559, 486, 312, 6666, 666, 732, 3166, 1804, 3180], "avg_logprob": -0.41130513785516515, "compression_ratio": 2.1333333333333333, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 667.25, "end": 668.09, "word": "reduced", "probability": 0.59759521484375}, {"start": 668.09, "end": 668.51, "word": " virgins", "probability": 0.5025634765625}, {"start": 668.51, "end": 668.91, "word": " minus", "probability": 0.223876953125}, {"start": 668.91, "end": 669.35, "word": " eight", "probability": 0.421142578125}, {"start": 669.35, "end": 669.77, "word": " diopters", "probability": 0.8134765625}, {"start": 669.77, "end": 669.89, "word": " and", "probability": 0.234375}, {"start": 669.89, "end": 670.13, "word": " I", "probability": 0.7578125}, {"start": 670.13, "end": 670.15, "word": " have", "probability": 0.86279296875}, {"start": 670.15, "end": 670.29, "word": " the", "probability": 0.39794921875}, {"start": 670.29, "end": 670.49, "word": " power", "probability": 0.4306640625}, {"start": 670.49, "end": 671.25, "word": " here", "probability": 0.75341796875}, {"start": 671.25, "end": 671.87, "word": " plus", "probability": 0.82568359375}, {"start": 671.87, "end": 672.39, "word": " ten", "probability": 0.7294921875}, {"start": 672.39, "end": 673.05, "word": " diopters", "probability": 0.9404296875}, {"start": 673.05, "end": 674.09, "word": " to", "probability": 0.552734375}, {"start": 674.09, "end": 674.47, "word": " cancel", "probability": 0.7197265625}, {"start": 674.47, "end": 674.69, "word": " this", "probability": 0.720703125}, {"start": 674.69, "end": 675.43, "word": " fluctuation", "probability": 0.5782470703125}, {"start": 675.43, "end": 675.85, "word": " to", "probability": 0.201904296875}, {"start": 675.85, "end": 676.27, "word": " cancel", "probability": 0.9296875}, {"start": 676.27, "end": 677.43, "word": " this", "probability": 0.92431640625}, {"start": 677.43, "end": 677.43, "word": " fluctuation", "probability": 0.954833984375}, {"start": 677.43, "end": 678.45, "word": " from", "probability": 0.23291015625}, {"start": 678.45, "end": 678.91, "word": " plus", "probability": 0.59326171875}, {"start": 678.91, "end": 679.35, "word": " ten", "probability": 0.89501953125}, {"start": 679.35, "end": 679.99, "word": " diopters", "probability": 0.93115234375}, {"start": 679.99, "end": 680.27, "word": " to", "probability": 0.83837890625}, {"start": 680.27, "end": 680.61, "word": " plus", "probability": 0.9306640625}, {"start": 680.61, "end": 680.99, "word": " ten", "probability": 0.92431640625}, {"start": 680.99, "end": 681.63, "word": " diopters", "probability": 0.9521484375}, {"start": 681.63, "end": 683.21, "word": " the", "probability": 0.4326171875}, {"start": 683.21, "end": 683.51, "word": " power", "probability": 0.414794921875}, {"start": 683.51, "end": 683.83, "word": " of", "probability": 0.60791015625}, {"start": 683.83, "end": 684.11, "word": " the", "probability": 0.7890625}, {"start": 684.11, "end": 684.35, "word": " lens", "probability": 0.43115234375}, {"start": 684.35, "end": 684.57, "word": " the", "probability": 0.289794921875}, {"start": 684.57, "end": 684.61, "word": " total", "probability": 0.87744140625}, {"start": 684.61, "end": 685.27, "word": " power", "probability": 0.63818359375}, {"start": 685.27, "end": 685.41, "word": " of", "probability": 0.95458984375}, {"start": 685.41, "end": 685.55, "word": " the", "probability": 0.91650390625}, {"start": 685.55, "end": 685.87, "word": " lens", "probability": 0.89599609375}, {"start": 685.87, "end": 686.53, "word": " plus", "probability": 0.78759765625}, {"start": 686.53, "end": 686.97, "word": " ten", "probability": 0.9130859375}, {"start": 686.97, "end": 687.63, "word": " diopters", "probability": 0.95361328125}, {"start": 687.63, "end": 690.03, "word": " will", "probability": 0.5068359375}, {"start": 690.03, "end": 690.21, "word": " be", "probability": 0.74267578125}, {"start": 690.21, "end": 690.35, "word": " divided", "probability": 0.76513671875}, {"start": 690.35, "end": 690.51, "word": " into", "probability": 0.67919921875}, {"start": 690.51, "end": 691.03, "word": " two", "probability": 0.931640625}, {"start": 691.03, "end": 691.03, "word": " parts", "probability": 0.66064453125}, {"start": 691.03, "end": 693.31, "word": " plus", "probability": 0.6123046875}, {"start": 693.31, "end": 693.95, "word": " eight", "probability": 0.90283203125}], "temperature": 1.0}, {"id": 32, "seek": 72385, "start": 695.05, "end": 723.85, "text": "plus 8 diopter will go to the front surface why will it go to the front surface? to change the fluctuation state of light from minus 8 to 0 from minus 8 to 0 here we will say plus 8 the plus 8 diopter will cancel the fluctuation of minus 8 why? because when we say", "tokens": [18954, 1649, 1026, 404, 391, 486, 352, 281, 264, 1868, 3753, 983, 486, 309, 352, 281, 264, 1868, 3753, 30, 281, 1319, 264, 23448, 16073, 1785, 295, 1442, 490, 3175, 1649, 281, 1958, 490, 3175, 1649, 281, 1958, 510, 321, 486, 584, 1804, 1649, 264, 1804, 1649, 1026, 404, 391, 486, 10373, 264, 23448, 16073, 295, 3175, 1649, 983, 30, 570, 562, 321, 584], "avg_logprob": -0.32740384615384616, "compression_ratio": 1.8857142857142857, "no_speech_prob": 0.0, "words": [{"start": 695.05, "end": 695.51, "word": "plus", "probability": 0.1490478515625}, {"start": 695.51, "end": 695.93, "word": " 8", "probability": 0.385986328125}, {"start": 695.93, "end": 696.47, "word": " diopter", "probability": 0.7018229166666666}, {"start": 696.47, "end": 696.71, "word": " will", "probability": 0.6826171875}, {"start": 696.71, "end": 696.91, "word": " go", "probability": 0.865234375}, {"start": 696.91, "end": 697.09, "word": " to", "probability": 0.9267578125}, {"start": 697.09, "end": 697.21, "word": " the", "probability": 0.833984375}, {"start": 697.21, "end": 697.89, "word": " front", "probability": 0.7421875}, {"start": 697.89, "end": 698.13, "word": " surface", "probability": 0.6923828125}, {"start": 698.13, "end": 698.79, "word": " why", "probability": 0.346435546875}, {"start": 698.79, "end": 698.93, "word": " will", "probability": 0.5244140625}, {"start": 698.93, "end": 699.01, "word": " it", "probability": 0.76953125}, {"start": 699.01, "end": 699.13, "word": " go", "probability": 0.9365234375}, {"start": 699.13, "end": 699.23, "word": " to", "probability": 0.94140625}, {"start": 699.23, "end": 699.37, "word": " the", "probability": 0.8818359375}, {"start": 699.37, "end": 700.01, "word": " front", "probability": 0.94775390625}, {"start": 700.01, "end": 700.07, "word": " surface?", "probability": 0.8095703125}, {"start": 700.97, "end": 701.49, "word": " to", "probability": 0.521484375}, {"start": 701.49, "end": 702.29, "word": " change", "probability": 0.86279296875}, {"start": 702.29, "end": 702.49, "word": " the", "probability": 0.81396484375}, {"start": 702.49, "end": 703.39, "word": " fluctuation", "probability": 0.48486328125}, {"start": 703.39, "end": 703.53, "word": " state", "probability": 0.48193359375}, {"start": 703.53, "end": 703.67, "word": " of", "probability": 0.48828125}, {"start": 703.67, "end": 704.03, "word": " light", "probability": 0.6279296875}, {"start": 704.03, "end": 705.69, "word": " from", "probability": 0.857421875}, {"start": 705.69, "end": 707.39, "word": " minus", "probability": 0.7197265625}, {"start": 707.39, "end": 707.85, "word": " 8", "probability": 0.81591796875}, {"start": 707.85, "end": 708.01, "word": " to", "probability": 0.97119140625}, {"start": 708.01, "end": 708.37, "word": " 0", "probability": 0.445068359375}, {"start": 708.37, "end": 710.07, "word": " from", "probability": 0.73974609375}, {"start": 710.07, "end": 710.43, "word": " minus", "probability": 0.94921875}, {"start": 710.43, "end": 710.97, "word": " 8", "probability": 0.9541015625}, {"start": 710.97, "end": 711.79, "word": " to", "probability": 0.9736328125}, {"start": 711.79, "end": 712.11, "word": " 0", "probability": 0.81201171875}, {"start": 712.11, "end": 713.51, "word": " here", "probability": 0.47900390625}, {"start": 713.51, "end": 713.65, "word": " we", "probability": 0.85205078125}, {"start": 713.65, "end": 713.65, "word": " will", "probability": 0.62841796875}, {"start": 713.65, "end": 713.87, "word": " say", "probability": 0.89990234375}, {"start": 713.87, "end": 714.35, "word": " plus", "probability": 0.87255859375}, {"start": 714.35, "end": 714.87, "word": " 8", "probability": 0.96240234375}, {"start": 714.87, "end": 715.91, "word": " the", "probability": 0.242431640625}, {"start": 715.91, "end": 716.27, "word": " plus", "probability": 0.92138671875}, {"start": 716.27, "end": 716.73, "word": " 8", "probability": 0.9521484375}, {"start": 716.73, "end": 717.37, "word": " diopter", "probability": 0.9412434895833334}, {"start": 717.37, "end": 719.79, "word": " will", "probability": 0.83154296875}, {"start": 719.79, "end": 720.15, "word": " cancel", "probability": 0.853515625}, {"start": 720.15, "end": 720.45, "word": " the", "probability": 0.85693359375}, {"start": 720.45, "end": 720.97, "word": " fluctuation", "probability": 0.885009765625}, {"start": 720.97, "end": 721.33, "word": " of", "probability": 0.56201171875}, {"start": 721.33, "end": 721.75, "word": " minus", "probability": 0.87841796875}, {"start": 721.75, "end": 722.23, "word": " 8", "probability": 0.97265625}, {"start": 722.23, "end": 722.65, "word": " why?", "probability": 0.67138671875}, {"start": 722.71, "end": 723.07, "word": " because", "probability": 0.87451171875}, {"start": 723.07, "end": 723.31, "word": " when", "probability": 0.89697265625}, {"start": 723.31, "end": 723.57, "word": " we", "probability": 0.85498046875}, {"start": 723.57, "end": 723.85, "word": " say", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 33, "seek": 75722, "start": 729.72, "end": 757.22, "text": "when we say u plus p power is equal to u minus eight plus p which is plus ten but we will take plus eight from it for the front surface plus eight what is equal to minus eight diopter plus eight diopter", "tokens": [18822, 321, 584, 344, 1804, 280, 1347, 307, 2681, 281, 344, 3175, 3180, 1804, 280, 597, 307, 1804, 2064, 457, 321, 486, 747, 1804, 3180, 490, 309, 337, 264, 1868, 3753, 1804, 3180, 437, 307, 2681, 281, 3175, 3180, 1026, 404, 391, 1804, 3180, 1026, 404, 391], "avg_logprob": -0.40299479104578495, "compression_ratio": 1.7413793103448276, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 729.72, "end": 730.0, "word": "when", "probability": 0.4345703125}, {"start": 730.0, "end": 730.24, "word": " we", "probability": 0.82666015625}, {"start": 730.24, "end": 730.5, "word": " say", "probability": 0.94677734375}, {"start": 730.5, "end": 731.86, "word": " u", "probability": 0.49853515625}, {"start": 731.86, "end": 734.22, "word": " plus", "probability": 0.259521484375}, {"start": 734.22, "end": 735.4, "word": " p", "probability": 0.5283203125}, {"start": 735.4, "end": 736.1, "word": " power", "probability": 0.1536865234375}, {"start": 736.1, "end": 736.88, "word": " is", "probability": 0.3701171875}, {"start": 736.88, "end": 737.3, "word": " equal", "probability": 0.84228515625}, {"start": 737.3, "end": 738.22, "word": " to", "probability": 0.9453125}, {"start": 738.22, "end": 739.32, "word": " u", "probability": 0.79541015625}, {"start": 739.32, "end": 739.88, "word": " minus", "probability": 0.97119140625}, {"start": 739.88, "end": 740.34, "word": " eight", "probability": 0.71533203125}, {"start": 740.34, "end": 743.74, "word": " plus", "probability": 0.79736328125}, {"start": 743.74, "end": 744.72, "word": " p", "probability": 0.5400390625}, {"start": 744.72, "end": 745.9, "word": " which", "probability": 0.38330078125}, {"start": 745.9, "end": 745.98, "word": " is", "probability": 0.89990234375}, {"start": 745.98, "end": 746.28, "word": " plus", "probability": 0.849609375}, {"start": 746.28, "end": 746.68, "word": " ten", "probability": 0.87646484375}, {"start": 746.68, "end": 746.9, "word": " but", "probability": 0.465087890625}, {"start": 746.9, "end": 747.14, "word": " we", "probability": 0.8310546875}, {"start": 747.14, "end": 747.14, "word": " will", "probability": 0.427734375}, {"start": 747.14, "end": 747.4, "word": " take", "probability": 0.55322265625}, {"start": 747.4, "end": 747.96, "word": " plus", "probability": 0.6533203125}, {"start": 747.96, "end": 748.42, "word": " eight", "probability": 0.9033203125}, {"start": 748.42, "end": 748.54, "word": " from", "probability": 0.415283203125}, {"start": 748.54, "end": 748.54, "word": " it", "probability": 0.78076171875}, {"start": 748.54, "end": 748.68, "word": " for", "probability": 0.3671875}, {"start": 748.68, "end": 748.78, "word": " the", "probability": 0.857421875}, {"start": 748.78, "end": 749.36, "word": " front", "probability": 0.64599609375}, {"start": 749.36, "end": 749.56, "word": " surface", "probability": 0.73388671875}, {"start": 749.56, "end": 749.98, "word": " plus", "probability": 0.509765625}, {"start": 749.98, "end": 750.5, "word": " eight", "probability": 0.8935546875}, {"start": 750.5, "end": 751.94, "word": " what", "probability": 0.5361328125}, {"start": 751.94, "end": 752.0, "word": " is", "probability": 0.625}, {"start": 752.0, "end": 752.44, "word": " equal", "probability": 0.7841796875}, {"start": 752.44, "end": 753.36, "word": " to", "probability": 0.63525390625}, {"start": 753.36, "end": 753.92, "word": " minus", "probability": 0.33203125}, {"start": 753.92, "end": 754.46, "word": " eight", "probability": 0.89208984375}, {"start": 754.46, "end": 755.06, "word": " diopter", "probability": 0.8142903645833334}, {"start": 755.06, "end": 755.42, "word": " plus", "probability": 0.857421875}, {"start": 755.42, "end": 756.54, "word": " eight", "probability": 0.89453125}, {"start": 756.54, "end": 757.22, "word": " diopter", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 34, "seek": 78321, "start": 758.23, "end": 783.21, "text": "plus 8 diopter is equal to zero zero diopter which means that as soon as it left the front surface and went inside the lens, it became the virgin zero what does virgin zero mean? it means that the rays are parallel it is still missing from the strength of the lens plus 2 this plus 2 will be consumed in", "tokens": [18954, 1649, 1026, 404, 391, 307, 2681, 281, 4018, 4018, 1026, 404, 391, 597, 1355, 300, 382, 2321, 382, 309, 1411, 264, 1868, 3753, 293, 1437, 1854, 264, 6765, 11, 309, 3062, 264, 26404, 4018, 437, 775, 26404, 4018, 914, 30, 309, 1355, 300, 264, 24417, 366, 8952, 309, 307, 920, 5361, 490, 264, 3800, 295, 264, 6765, 1804, 568, 341, 1804, 568, 486, 312, 21226, 294], "avg_logprob": -0.5868566307951423, "compression_ratio": 1.6740331491712708, "no_speech_prob": 1.1682510375976562e-05, "words": [{"start": 758.23, "end": 758.77, "word": "plus", "probability": 0.299072265625}, {"start": 758.77, "end": 759.27, "word": " 8", "probability": 0.493896484375}, {"start": 759.27, "end": 759.71, "word": " diopter", "probability": 0.6368611653645834}, {"start": 759.71, "end": 759.93, "word": " is", "probability": 0.136962890625}, {"start": 759.93, "end": 760.19, "word": " equal", "probability": 0.60107421875}, {"start": 760.19, "end": 760.77, "word": " to", "probability": 0.958984375}, {"start": 760.77, "end": 761.13, "word": " zero", "probability": 0.46728515625}, {"start": 761.13, "end": 763.01, "word": " zero", "probability": 0.322265625}, {"start": 763.01, "end": 764.33, "word": " diopter", "probability": 0.9075520833333334}, {"start": 764.33, "end": 766.07, "word": " which", "probability": 0.06817626953125}, {"start": 766.07, "end": 766.15, "word": " means", "probability": 0.8818359375}, {"start": 766.15, "end": 766.35, "word": " that", "probability": 0.54541015625}, {"start": 766.35, "end": 766.55, "word": " as", "probability": 0.412109375}, {"start": 766.55, "end": 766.79, "word": " soon", "probability": 0.8525390625}, {"start": 766.79, "end": 766.95, "word": " as", "probability": 0.966796875}, {"start": 766.95, "end": 767.21, "word": " it", "probability": 0.205078125}, {"start": 767.21, "end": 767.67, "word": " left", "probability": 0.33447265625}, {"start": 767.67, "end": 768.19, "word": " the", "probability": 0.81884765625}, {"start": 768.19, "end": 768.79, "word": " front", "probability": 0.67041015625}, {"start": 768.79, "end": 768.95, "word": " surface", "probability": 0.57861328125}, {"start": 768.95, "end": 769.09, "word": " and", "probability": 0.78857421875}, {"start": 769.09, "end": 769.35, "word": " went", "probability": 0.21533203125}, {"start": 769.35, "end": 769.81, "word": " inside", "probability": 0.6689453125}, {"start": 769.81, "end": 769.97, "word": " the", "probability": 0.84765625}, {"start": 769.97, "end": 770.27, "word": " lens,", "probability": 0.68896484375}, {"start": 770.47, "end": 770.49, "word": " it", "probability": 0.296630859375}, {"start": 770.49, "end": 770.83, "word": " became", "probability": 0.64111328125}, {"start": 770.83, "end": 771.05, "word": " the", "probability": 0.345458984375}, {"start": 771.05, "end": 771.39, "word": " virgin", "probability": 0.34130859375}, {"start": 771.39, "end": 771.95, "word": " zero", "probability": 0.74609375}, {"start": 771.95, "end": 772.75, "word": " what", "probability": 0.4501953125}, {"start": 772.75, "end": 772.97, "word": " does", "probability": 0.82421875}, {"start": 772.97, "end": 773.61, "word": " virgin", "probability": 0.90283203125}, {"start": 773.61, "end": 774.09, "word": " zero", "probability": 0.88720703125}, {"start": 774.09, "end": 774.15, "word": " mean?", "probability": 0.8837890625}, {"start": 774.83, "end": 775.05, "word": " it", "probability": 0.52734375}, {"start": 775.05, "end": 775.35, "word": " means", "probability": 0.8603515625}, {"start": 775.35, "end": 775.51, "word": " that", "probability": 0.408203125}, {"start": 775.51, "end": 775.93, "word": " the", "probability": 0.68603515625}, {"start": 775.93, "end": 776.23, "word": " rays", "probability": 0.50390625}, {"start": 776.23, "end": 776.49, "word": " are", "probability": 0.90673828125}, {"start": 776.49, "end": 776.95, "word": " parallel", "probability": 0.73193359375}, {"start": 776.95, "end": 777.75, "word": " it", "probability": 0.214111328125}, {"start": 777.75, "end": 778.03, "word": " is", "probability": 0.403564453125}, {"start": 778.03, "end": 778.23, "word": " still", "probability": 0.90087890625}, {"start": 778.23, "end": 778.47, "word": " missing", "probability": 0.262939453125}, {"start": 778.47, "end": 778.65, "word": " from", "probability": 0.318115234375}, {"start": 778.65, "end": 778.73, "word": " the", "probability": 0.884765625}, {"start": 778.73, "end": 778.89, "word": " strength", "probability": 0.2012939453125}, {"start": 778.89, "end": 779.05, "word": " of", "probability": 0.96923828125}, {"start": 779.05, "end": 779.11, "word": " the", "probability": 0.87060546875}, {"start": 779.11, "end": 779.35, "word": " lens", "probability": 0.68212890625}, {"start": 779.35, "end": 779.69, "word": " plus", "probability": 0.66796875}, {"start": 779.69, "end": 780.11, "word": " 2", "probability": 0.5634765625}, {"start": 780.11, "end": 780.87, "word": " this", "probability": 0.560546875}, {"start": 780.87, "end": 781.31, "word": " plus", "probability": 0.93798828125}, {"start": 781.31, "end": 781.67, "word": " 2", "probability": 0.806640625}, {"start": 781.67, "end": 781.91, "word": " will", "probability": 0.74755859375}, {"start": 781.91, "end": 782.01, "word": " be", "probability": 0.76953125}, {"start": 782.01, "end": 782.47, "word": " consumed", "probability": 0.55224609375}, {"start": 782.47, "end": 783.21, "word": " in", "probability": 0.62451171875}], "temperature": 1.0}, {"id": 35, "seek": 81039, "start": 784.37, "end": 810.39, "text": "Tajmei Al Asha'a, as long as plus two is negative, then this will add positive versions to the asha'a, that is, it will collect the asha'a. The problem may be completely different from the example we gave, let's say plus ten is negative, and I have", "tokens": [51, 1805, 1398, 72, 967, 1018, 1641, 6, 64, 11, 382, 938, 382, 1804, 732, 307, 3671, 11, 550, 341, 486, 909, 3353, 9606, 281, 264, 382, 1641, 6, 64, 11, 300, 307, 11, 309, 486, 2500, 264, 382, 1641, 6, 64, 13, 440, 1154, 815, 312, 2584, 819, 490, 264, 1365, 321, 2729, 11, 718, 311, 584, 1804, 2064, 307, 3671, 11, 293, 286, 362], "avg_logprob": -0.6497201314613, "compression_ratio": 1.5121951219512195, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 784.37, "end": 785.03, "word": "Tajmei", "probability": 0.39581298828125}, {"start": 785.03, "end": 785.19, "word": " Al", "probability": 0.2110595703125}, {"start": 785.19, "end": 785.51, "word": " Asha", "probability": 0.4700927734375}, {"start": 785.51, "end": 785.69, "word": "'a,", "probability": 0.4656982421875}, {"start": 785.89, "end": 786.11, "word": " as", "probability": 0.464111328125}, {"start": 786.11, "end": 786.29, "word": " long", "probability": 0.904296875}, {"start": 786.29, "end": 786.29, "word": " as", "probability": 0.96142578125}, {"start": 786.29, "end": 786.63, "word": " plus", "probability": 0.3544921875}, {"start": 786.63, "end": 787.05, "word": " two", "probability": 0.61962890625}, {"start": 787.05, "end": 787.23, "word": " is", "probability": 0.482421875}, {"start": 787.23, "end": 787.43, "word": " negative,", "probability": 0.292724609375}, {"start": 787.77, "end": 788.05, "word": " then", "probability": 0.305419921875}, {"start": 788.05, "end": 788.33, "word": " this", "probability": 0.53369140625}, {"start": 788.33, "end": 788.59, "word": " will", "probability": 0.490234375}, {"start": 788.59, "end": 789.43, "word": " add", "probability": 0.849609375}, {"start": 789.43, "end": 790.07, "word": " positive", "probability": 0.80712890625}, {"start": 790.07, "end": 790.81, "word": " versions", "probability": 0.3876953125}, {"start": 790.81, "end": 791.51, "word": " to", "probability": 0.76123046875}, {"start": 791.51, "end": 791.97, "word": " the", "probability": 0.658203125}, {"start": 791.97, "end": 792.31, "word": " asha", "probability": 0.511962890625}, {"start": 792.31, "end": 792.55, "word": "'a,", "probability": 0.93115234375}, {"start": 792.65, "end": 792.87, "word": " that", "probability": 0.2119140625}, {"start": 792.87, "end": 792.93, "word": " is,", "probability": 0.728515625}, {"start": 793.01, "end": 793.01, "word": " it", "probability": 0.650390625}, {"start": 793.01, "end": 793.23, "word": " will", "probability": 0.8388671875}, {"start": 793.23, "end": 793.73, "word": " collect", "probability": 0.1844482421875}, {"start": 793.73, "end": 794.17, "word": " the", "probability": 0.7216796875}, {"start": 794.17, "end": 794.43, "word": " asha", "probability": 0.776123046875}, {"start": 794.43, "end": 794.75, "word": "'a.", "probability": 0.989013671875}, {"start": 795.13, "end": 795.77, "word": " The", "probability": 0.464599609375}, {"start": 795.77, "end": 796.49, "word": " problem", "probability": 0.300048828125}, {"start": 796.49, "end": 796.69, "word": " may", "probability": 0.2393798828125}, {"start": 796.69, "end": 796.85, "word": " be", "probability": 0.83154296875}, {"start": 796.85, "end": 797.21, "word": " completely", "probability": 0.297119140625}, {"start": 797.21, "end": 797.57, "word": " different", "probability": 0.87109375}, {"start": 797.57, "end": 798.49, "word": " from", "probability": 0.51513671875}, {"start": 798.49, "end": 801.73, "word": " the", "probability": 0.625}, {"start": 801.73, "end": 802.09, "word": " example", "probability": 0.96484375}, {"start": 802.09, "end": 802.29, "word": " we", "probability": 0.625}, {"start": 802.29, "end": 802.63, "word": " gave,", "probability": 0.2841796875}, {"start": 803.47, "end": 804.43, "word": " let's", "probability": 0.65087890625}, {"start": 804.43, "end": 804.67, "word": " say", "probability": 0.94287109375}, {"start": 804.67, "end": 805.31, "word": " plus", "probability": 0.6884765625}, {"start": 805.31, "end": 805.73, "word": " ten", "probability": 0.84423828125}, {"start": 805.73, "end": 805.91, "word": " is", "probability": 0.87353515625}, {"start": 805.91, "end": 806.19, "word": " negative,", "probability": 0.75732421875}, {"start": 808.89, "end": 809.85, "word": " and", "probability": 0.89111328125}, {"start": 809.85, "end": 810.07, "word": " I", "probability": 0.95703125}, {"start": 810.07, "end": 810.39, "word": " have", "probability": 0.92529296875}], "temperature": 1.0}, {"id": 36, "seek": 83671, "start": 812.21, "end": 836.71, "text": "The object is at a distance of 10 cm At a distance of 10 cm, let's see what's going to happen to us At a distance of 10 cm, let's see what's going to happen to us He doesn't want to write We say U is equal to negative N over O", "tokens": [2278, 2657, 307, 412, 257, 4560, 295, 1266, 14668, 1711, 257, 4560, 295, 1266, 14668, 11, 718, 311, 536, 437, 311, 516, 281, 1051, 281, 505, 1711, 257, 4560, 295, 1266, 14668, 11, 718, 311, 536, 437, 311, 516, 281, 1051, 281, 505, 634, 1177, 380, 528, 281, 2464, 492, 584, 624, 307, 2681, 281, 3671, 426, 670, 422], "avg_logprob": -0.34140624751647314, "compression_ratio": 1.8225806451612903, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 812.21, "end": 812.85, "word": "The", "probability": 0.375732421875}, {"start": 812.85, "end": 813.39, "word": " object", "probability": 0.93994140625}, {"start": 813.39, "end": 813.59, "word": " is", "probability": 0.493408203125}, {"start": 813.59, "end": 813.65, "word": " at", "probability": 0.289794921875}, {"start": 813.65, "end": 813.75, "word": " a", "probability": 0.67333984375}, {"start": 813.75, "end": 813.93, "word": " distance", "probability": 0.837890625}, {"start": 813.93, "end": 813.99, "word": " of", "probability": 0.9462890625}, {"start": 813.99, "end": 814.29, "word": " 10", "probability": 0.81005859375}, {"start": 814.29, "end": 814.75, "word": " cm", "probability": 0.4482421875}, {"start": 814.75, "end": 815.09, "word": " At", "probability": 0.383056640625}, {"start": 815.09, "end": 815.19, "word": " a", "probability": 0.95263671875}, {"start": 815.19, "end": 815.33, "word": " distance", "probability": 0.9609375}, {"start": 815.33, "end": 815.45, "word": " of", "probability": 0.97021484375}, {"start": 815.45, "end": 815.71, "word": " 10", "probability": 0.94921875}, {"start": 815.71, "end": 816.19, "word": " cm,", "probability": 0.9111328125}, {"start": 816.39, "end": 816.53, "word": " let's", "probability": 0.708984375}, {"start": 816.53, "end": 816.67, "word": " see", "probability": 0.85302734375}, {"start": 816.67, "end": 817.11, "word": " what's", "probability": 0.56341552734375}, {"start": 817.11, "end": 817.11, "word": " going", "probability": 0.7099609375}, {"start": 817.11, "end": 817.11, "word": " to", "probability": 0.94580078125}, {"start": 817.11, "end": 817.55, "word": " happen", "probability": 0.89111328125}, {"start": 817.55, "end": 817.83, "word": " to", "probability": 0.515625}, {"start": 817.83, "end": 818.11, "word": " us", "probability": 0.86767578125}, {"start": 818.11, "end": 818.67, "word": " At", "probability": 0.34521484375}, {"start": 818.67, "end": 819.05, "word": " a", "probability": 0.994140625}, {"start": 819.05, "end": 819.05, "word": " distance", "probability": 0.95947265625}, {"start": 819.05, "end": 819.11, "word": " of", "probability": 0.9716796875}, {"start": 819.11, "end": 819.35, "word": " 10", "probability": 0.96728515625}, {"start": 819.35, "end": 819.77, "word": " cm,", "probability": 0.9267578125}, {"start": 819.93, "end": 820.01, "word": " let's", "probability": 0.972412109375}, {"start": 820.01, "end": 820.19, "word": " see", "probability": 0.92431640625}, {"start": 820.19, "end": 820.63, "word": " what's", "probability": 0.96240234375}, {"start": 820.63, "end": 820.63, "word": " going", "probability": 0.95166015625}, {"start": 820.63, "end": 820.63, "word": " to", "probability": 0.97216796875}, {"start": 820.63, "end": 821.03, "word": " happen", "probability": 0.90234375}, {"start": 821.03, "end": 821.65, "word": " to", "probability": 0.931640625}, {"start": 821.65, "end": 821.91, "word": " us", "probability": 0.9443359375}, {"start": 821.91, "end": 827.75, "word": " He", "probability": 0.277099609375}, {"start": 827.75, "end": 827.89, "word": " doesn't", "probability": 0.62078857421875}, {"start": 827.89, "end": 828.13, "word": " want", "probability": 0.6650390625}, {"start": 828.13, "end": 828.17, "word": " to", "probability": 0.97705078125}, {"start": 828.17, "end": 828.59, "word": " write", "probability": 0.642578125}, {"start": 828.59, "end": 830.85, "word": " We", "probability": 0.444580078125}, {"start": 830.85, "end": 831.29, "word": " say", "probability": 0.8935546875}, {"start": 831.29, "end": 831.81, "word": " U", "probability": 0.2626953125}, {"start": 831.81, "end": 833.49, "word": " is", "probability": 0.50390625}, {"start": 833.49, "end": 833.87, "word": " equal", "probability": 0.63037109375}, {"start": 833.87, "end": 834.55, "word": " to", "probability": 0.75830078125}, {"start": 834.55, "end": 835.11, "word": " negative", "probability": 0.399169921875}, {"start": 835.11, "end": 835.89, "word": " N", "probability": 0.7158203125}, {"start": 835.89, "end": 836.37, "word": " over", "probability": 0.49365234375}, {"start": 836.37, "end": 836.71, "word": " O", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 37, "seek": 86121, "start": 838.11, "end": 861.21, "text": "و يساوي ناقص واحد، طبعا ناقص لأنها divergent، divergent، ناقص واحد على بعد عشرة صنطي، يعني واحد من عشرة متر، و يساوي ناقص عشرة ديوبتر، اذا الدوق هيصل هنا produced virgins مقداره minus عشرة ديوبتر", "tokens": [2407, 7251, 3794, 995, 45865, 8717, 995, 4587, 9381, 36764, 24401, 12399, 23032, 3555, 3615, 995, 8717, 995, 4587, 9381, 5296, 33456, 11296, 18558, 6930, 12399, 18558, 6930, 12399, 8717, 995, 4587, 9381, 36764, 24401, 15844, 39182, 6225, 8592, 25720, 20328, 1863, 9566, 1829, 12399, 37495, 22653, 36764, 24401, 9154, 6225, 8592, 25720, 44650, 2288, 12399, 4032, 7251, 3794, 995, 45865, 8717, 995, 4587, 9381, 6225, 8592, 25720, 11778, 1829, 37746, 2655, 2288, 12399, 1975, 15730, 32748, 30543, 8032, 1829, 36520, 34105, 7126, 4107, 23320, 3714, 28543, 9640, 3224, 3175, 6225, 8592, 25720, 11778, 1829, 37746, 2655, 2288], "avg_logprob": -0.2242739898989899, "compression_ratio": 1.7865168539325842, "no_speech_prob": 0.0, "words": [{"start": 838.11, "end": 838.31, "word": "و", "probability": 0.7080078125}, {"start": 838.31, "end": 838.97, "word": " يساوي", "probability": 0.8170166015625}, {"start": 838.97, "end": 840.31, "word": " ناقص", "probability": 0.80810546875}, {"start": 840.31, "end": 841.01, "word": " واحد،", "probability": 0.6971435546875}, {"start": 841.01, "end": 841.29, "word": " طبعا", "probability": 0.8857421875}, {"start": 841.29, "end": 841.67, "word": " ناقص", "probability": 0.975341796875}, {"start": 841.67, "end": 841.97, "word": " لأنها", "probability": 0.8468424479166666}, {"start": 841.97, "end": 843.41, "word": " divergent،", "probability": 0.6935221354166666}, {"start": 843.41, "end": 844.35, "word": " divergent،", "probability": 0.6258138020833334}, {"start": 844.35, "end": 844.83, "word": " ناقص", "probability": 0.984619140625}, {"start": 844.83, "end": 845.29, "word": " واحد", "probability": 0.986083984375}, {"start": 845.29, "end": 845.51, "word": " على", "probability": 0.66259765625}, {"start": 845.51, "end": 845.77, "word": " بعد", "probability": 0.6474609375}, {"start": 845.77, "end": 846.13, "word": " عشرة", "probability": 0.8362630208333334}, {"start": 846.13, "end": 846.61, "word": " صنطي،", "probability": 0.62177734375}, {"start": 846.61, "end": 846.81, "word": " يعني", "probability": 0.927001953125}, {"start": 846.81, "end": 847.33, "word": " واحد", "probability": 0.96533203125}, {"start": 847.33, "end": 847.51, "word": " من", "probability": 0.99267578125}, {"start": 847.51, "end": 847.97, "word": " عشرة", "probability": 0.9384765625}, {"start": 847.97, "end": 849.69, "word": " متر،", "probability": 0.7999674479166666}, {"start": 849.69, "end": 850.25, "word": " و", "probability": 0.8876953125}, {"start": 850.25, "end": 850.87, "word": " يساوي", "probability": 0.9051513671875}, {"start": 850.87, "end": 852.77, "word": " ناقص", "probability": 0.98779296875}, {"start": 852.77, "end": 853.93, "word": " عشرة", "probability": 0.9532877604166666}, {"start": 853.93, "end": 855.21, "word": " ديوبتر،", "probability": 0.8434244791666666}, {"start": 855.21, "end": 855.97, "word": " اذا", "probability": 0.487060546875}, {"start": 855.97, "end": 856.47, "word": " الدوق", "probability": 0.5867919921875}, {"start": 856.47, "end": 857.01, "word": " هيصل", "probability": 0.7224934895833334}, {"start": 857.01, "end": 857.37, "word": " هنا", "probability": 0.9736328125}, {"start": 857.37, "end": 858.49, "word": " produced", "probability": 0.494873046875}, {"start": 858.49, "end": 859.25, "word": " virgins", "probability": 0.6934814453125}, {"start": 859.25, "end": 859.85, "word": " مقداره", "probability": 0.9456787109375}, {"start": 859.85, "end": 860.21, "word": " minus", "probability": 0.73681640625}, {"start": 860.21, "end": 860.67, "word": " عشرة", "probability": 0.9264322916666666}, {"start": 860.67, "end": 861.21, "word": " ديوبتر", "probability": 0.96669921875}], "temperature": 1.0}, {"id": 38, "seek": 89121, "start": 861.91, "end": 891.21, "text": "in the case of polygamy, polygamy in the amount of 10 diopters in other words, to cancel polygamy, we need plus 10 to cancel minus 10 so the lens will send all its force to the front surface and will not stay on the back surface except zero we say as follows U plus P", "tokens": [259, 264, 1389, 295, 6754, 70, 7804, 11, 6754, 70, 7804, 294, 264, 2372, 295, 1266, 1026, 404, 1559, 294, 661, 2283, 11, 281, 10373, 6754, 70, 7804, 11, 321, 643, 1804, 1266, 281, 10373, 3175, 1266, 370, 264, 40116, 82, 486, 2845, 439, 1080, 3464, 281, 264, 1868, 3753, 293, 486, 406, 1754, 322, 264, 646, 3753, 3993, 4018, 321, 584, 382, 10002, 624, 1804, 430], "avg_logprob": -0.6125919328016394, "compression_ratio": 1.638036809815951, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 861.91, "end": 862.27, "word": "in", "probability": 0.035919189453125}, {"start": 862.27, "end": 862.27, "word": " the", "probability": 0.2041015625}, {"start": 862.27, "end": 862.27, "word": " case", "probability": 0.420654296875}, {"start": 862.27, "end": 862.45, "word": " of", "probability": 0.95703125}, {"start": 862.45, "end": 863.11, "word": " polygamy,", "probability": 0.3452962239583333}, {"start": 863.23, "end": 863.99, "word": " polygamy", "probability": 0.6840413411458334}, {"start": 863.99, "end": 864.15, "word": " in", "probability": 0.09344482421875}, {"start": 864.15, "end": 864.27, "word": " the", "probability": 0.469482421875}, {"start": 864.27, "end": 864.47, "word": " amount", "probability": 0.285888671875}, {"start": 864.47, "end": 864.65, "word": " of", "probability": 0.916015625}, {"start": 864.65, "end": 864.87, "word": " 10", "probability": 0.50634765625}, {"start": 864.87, "end": 865.53, "word": " diopters", "probability": 0.7967122395833334}, {"start": 865.53, "end": 866.05, "word": " in", "probability": 0.44189453125}, {"start": 866.05, "end": 866.63, "word": " other", "probability": 0.428466796875}, {"start": 866.63, "end": 866.63, "word": " words,", "probability": 0.8330078125}, {"start": 866.91, "end": 867.23, "word": " to", "probability": 0.5673828125}, {"start": 867.23, "end": 867.47, "word": " cancel", "probability": 0.70703125}, {"start": 867.47, "end": 868.07, "word": " polygamy,", "probability": 0.8802083333333334}, {"start": 868.19, "end": 868.23, "word": " we", "probability": 0.67919921875}, {"start": 868.23, "end": 868.41, "word": " need", "probability": 0.8603515625}, {"start": 868.41, "end": 868.87, "word": " plus", "probability": 0.336181640625}, {"start": 868.87, "end": 869.29, "word": " 10", "probability": 0.69775390625}, {"start": 869.29, "end": 869.57, "word": " to", "probability": 0.7412109375}, {"start": 869.57, "end": 869.99, "word": " cancel", "probability": 0.89990234375}, {"start": 869.99, "end": 870.41, "word": " minus", "probability": 0.8427734375}, {"start": 870.41, "end": 870.89, "word": " 10", "probability": 0.93603515625}, {"start": 870.89, "end": 871.47, "word": " so", "probability": 0.5146484375}, {"start": 871.47, "end": 871.67, "word": " the", "probability": 0.513671875}, {"start": 871.67, "end": 871.93, "word": " lens", "probability": 0.6240234375}, {"start": 871.93, "end": 872.59, "word": " will", "probability": 0.52294921875}, {"start": 872.59, "end": 873.31, "word": " send", "probability": 0.1319580078125}, {"start": 873.31, "end": 874.05, "word": " all", "probability": 0.75341796875}, {"start": 874.05, "end": 874.69, "word": " its", "probability": 0.7138671875}, {"start": 874.69, "end": 874.97, "word": " force", "probability": 0.411376953125}, {"start": 874.97, "end": 875.27, "word": " to", "probability": 0.90869140625}, {"start": 875.27, "end": 875.39, "word": " the", "probability": 0.88720703125}, {"start": 875.39, "end": 876.03, "word": " front", "probability": 0.78271484375}, {"start": 876.03, "end": 876.19, "word": " surface", "probability": 0.79931640625}, {"start": 876.19, "end": 876.69, "word": " and", "probability": 0.69287109375}, {"start": 876.69, "end": 876.83, "word": " will", "probability": 0.2327880859375}, {"start": 876.83, "end": 876.83, "word": " not", "probability": 0.771484375}, {"start": 876.83, "end": 877.21, "word": " stay", "probability": 0.496337890625}, {"start": 877.21, "end": 877.37, "word": " on", "probability": 0.322021484375}, {"start": 877.37, "end": 877.79, "word": " the", "probability": 0.89013671875}, {"start": 877.79, "end": 878.01, "word": " back", "probability": 0.63232421875}, {"start": 878.01, "end": 878.09, "word": " surface", "probability": 0.7744140625}, {"start": 878.09, "end": 878.35, "word": " except", "probability": 0.57275390625}, {"start": 878.35, "end": 878.77, "word": " zero", "probability": 0.57373046875}, {"start": 878.77, "end": 879.23, "word": " we", "probability": 0.583984375}, {"start": 879.23, "end": 879.49, "word": " say", "probability": 0.798828125}, {"start": 879.49, "end": 879.71, "word": " as", "probability": 0.7421875}, {"start": 879.71, "end": 880.15, "word": " follows", "probability": 0.75146484375}, {"start": 880.15, "end": 887.97, "word": " U", "probability": 0.384033203125}, {"start": 887.97, "end": 890.33, "word": " plus", "probability": 0.5078125}, {"start": 890.33, "end": 891.21, "word": " P", "probability": 0.96728515625}], "temperature": 1.0}, {"id": 39, "seek": 91178, "start": 891.96, "end": 911.78, "text": "يساوي minus 10 diopter زائد ال P اللي هي plus 10 diopter ويساوي صفر، يساوي صفر", "tokens": [1829, 3794, 995, 45865, 3175, 1266, 1026, 404, 391, 30767, 16373, 3215, 2423, 430, 13672, 1829, 39896, 1804, 1266, 1026, 404, 391, 4032, 1829, 3794, 995, 45865, 20328, 5172, 2288, 12399, 7251, 3794, 995, 45865, 20328, 5172, 2288], "avg_logprob": -0.2042267605280265, "compression_ratio": 1.3950617283950617, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 891.96, "end": 892.68, "word": "يساوي", "probability": 0.72314453125}, {"start": 892.68, "end": 895.16, "word": " minus", "probability": 0.52783203125}, {"start": 895.16, "end": 896.24, "word": " 10", "probability": 0.405517578125}, {"start": 896.24, "end": 896.98, "word": " diopter", "probability": 0.673583984375}, {"start": 896.98, "end": 899.68, "word": " زائد", "probability": 0.7296549479166666}, {"start": 899.68, "end": 900.54, "word": " ال", "probability": 0.95556640625}, {"start": 900.54, "end": 900.78, "word": " P", "probability": 0.70263671875}, {"start": 900.78, "end": 901.18, "word": " اللي", "probability": 0.779296875}, {"start": 901.18, "end": 901.54, "word": " هي", "probability": 0.85595703125}, {"start": 901.54, "end": 902.2, "word": " plus", "probability": 0.9462890625}, {"start": 902.2, "end": 902.78, "word": " 10", "probability": 0.96923828125}, {"start": 902.78, "end": 905.44, "word": " diopter", "probability": 0.94091796875}, {"start": 905.44, "end": 909.02, "word": " ويساوي", "probability": 0.913671875}, {"start": 909.02, "end": 910.86, "word": " صفر،", "probability": 0.8145751953125}, {"start": 910.86, "end": 911.3, "word": " يساوي", "probability": 0.9525146484375}, {"start": 911.3, "end": 911.78, "word": " صفر", "probability": 0.9837239583333334}], "temperature": 1.0}, {"id": 40, "seek": 94155, "start": 912.23, "end": 941.55, "text": "So, all the power of the lens went to cancel the fluctuation of the light As we said, the only mission of the lens in its entire operation is to change the fluctuation of the light What will change the fluctuation of the light? In the case of the plus lens or the limited lens, it started to change from fluctuating to accumulating as much as possible For example, this young man went to buy with twenty dinars of everything he owns", "tokens": [6455, 11, 439, 264, 1347, 295, 264, 6765, 1437, 281, 10373, 264, 23448, 16073, 295, 264, 1442, 1018, 321, 848, 11, 264, 787, 4447, 295, 264, 6765, 294, 1080, 2302, 6916, 307, 281, 1319, 264, 23448, 16073, 295, 264, 1442, 708, 486, 1319, 264, 23448, 16073, 295, 264, 1442, 30, 682, 264, 1389, 295, 264, 1804, 6765, 420, 264, 5567, 6765, 11, 309, 1409, 281, 1319, 490, 23448, 32438, 281, 12989, 12162, 382, 709, 382, 1944, 1171, 1365, 11, 341, 2037, 587, 1437, 281, 2256, 365, 7699, 3791, 685, 295, 1203, 415, 19143], "avg_logprob": -0.5478723486687275, "compression_ratio": 1.945945945945946, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 912.23, "end": 912.61, "word": "So,", "probability": 0.52783203125}, {"start": 912.67, "end": 913.59, "word": " all", "probability": 0.28466796875}, {"start": 913.59, "end": 913.77, "word": " the", "probability": 0.5849609375}, {"start": 913.77, "end": 913.97, "word": " power", "probability": 0.56787109375}, {"start": 913.97, "end": 914.19, "word": " of", "probability": 0.8349609375}, {"start": 914.19, "end": 914.31, "word": " the", "probability": 0.84619140625}, {"start": 914.31, "end": 914.61, "word": " lens", "probability": 0.646484375}, {"start": 914.61, "end": 914.71, "word": " went", "probability": 0.306396484375}, {"start": 914.71, "end": 915.19, "word": " to", "probability": 0.57373046875}, {"start": 915.19, "end": 915.87, "word": " cancel", "probability": 0.247314453125}, {"start": 915.87, "end": 916.17, "word": " the", "probability": 0.70068359375}, {"start": 916.17, "end": 916.73, "word": " fluctuation", "probability": 0.5020904541015625}, {"start": 916.73, "end": 917.17, "word": " of", "probability": 0.85546875}, {"start": 917.17, "end": 917.39, "word": " the", "probability": 0.381103515625}, {"start": 917.39, "end": 917.65, "word": " light", "probability": 0.79150390625}, {"start": 917.65, "end": 918.31, "word": " As", "probability": 0.09930419921875}, {"start": 918.31, "end": 918.45, "word": " we", "probability": 0.8798828125}, {"start": 918.45, "end": 918.67, "word": " said,", "probability": 0.76513671875}, {"start": 918.79, "end": 918.81, "word": " the", "probability": 0.81787109375}, {"start": 918.81, "end": 919.29, "word": " only", "probability": 0.7060546875}, {"start": 919.29, "end": 919.59, "word": " mission", "probability": 0.33544921875}, {"start": 919.59, "end": 920.87, "word": " of", "probability": 0.96044921875}, {"start": 920.87, "end": 920.87, "word": " the", "probability": 0.85791015625}, {"start": 920.87, "end": 920.87, "word": " lens", "probability": 0.82861328125}, {"start": 920.87, "end": 922.23, "word": " in", "probability": 0.60693359375}, {"start": 922.23, "end": 922.61, "word": " its", "probability": 0.4716796875}, {"start": 922.61, "end": 923.25, "word": " entire", "probability": 0.486083984375}, {"start": 923.25, "end": 923.25, "word": " operation", "probability": 0.488037109375}, {"start": 923.25, "end": 923.97, "word": " is", "probability": 0.60595703125}, {"start": 923.97, "end": 924.33, "word": " to", "probability": 0.92578125}, {"start": 924.33, "end": 924.77, "word": " change", "probability": 0.888671875}, {"start": 924.77, "end": 924.97, "word": " the", "probability": 0.890625}, {"start": 924.97, "end": 925.93, "word": " fluctuation", "probability": 0.726806640625}, {"start": 925.93, "end": 926.17, "word": " of", "probability": 0.54443359375}, {"start": 926.17, "end": 926.29, "word": " the", "probability": 0.46142578125}, {"start": 926.29, "end": 926.45, "word": " light", "probability": 0.85498046875}, {"start": 926.45, "end": 926.79, "word": " What", "probability": 0.65234375}, {"start": 926.79, "end": 926.97, "word": " will", "probability": 0.304931640625}, {"start": 926.97, "end": 927.27, "word": " change", "probability": 0.88134765625}, {"start": 927.27, "end": 927.43, "word": " the", "probability": 0.8876953125}, {"start": 927.43, "end": 928.09, "word": " fluctuation", "probability": 0.897705078125}, {"start": 928.09, "end": 928.39, "word": " of", "probability": 0.947265625}, {"start": 928.39, "end": 928.51, "word": " the", "probability": 0.62841796875}, {"start": 928.51, "end": 928.71, "word": " light?", "probability": 0.8857421875}, {"start": 929.11, "end": 929.25, "word": " In", "probability": 0.84130859375}, {"start": 929.25, "end": 929.81, "word": " the", "probability": 0.7763671875}, {"start": 929.81, "end": 929.95, "word": " case", "probability": 0.89453125}, {"start": 929.95, "end": 930.11, "word": " of", "probability": 0.962890625}, {"start": 930.11, "end": 930.65, "word": " the", "probability": 0.654296875}, {"start": 930.65, "end": 931.11, "word": " plus", "probability": 0.42724609375}, {"start": 931.11, "end": 931.13, "word": " lens", "probability": 0.78369140625}, {"start": 931.13, "end": 931.45, "word": " or", "probability": 0.6748046875}, {"start": 931.45, "end": 931.59, "word": " the", "probability": 0.64892578125}, {"start": 931.59, "end": 932.29, "word": " limited", "probability": 0.039459228515625}, {"start": 932.29, "end": 932.53, "word": " lens,", "probability": 0.83251953125}, {"start": 933.03, "end": 933.07, "word": " it", "probability": 0.87158203125}, {"start": 933.07, "end": 933.25, "word": " started", "probability": 0.337646484375}, {"start": 933.25, "end": 933.47, "word": " to", "probability": 0.724609375}, {"start": 933.47, "end": 933.59, "word": " change", "probability": 0.307373046875}, {"start": 933.59, "end": 933.91, "word": " from", "probability": 0.8544921875}, {"start": 933.91, "end": 934.69, "word": " fluctuating", "probability": 0.56494140625}, {"start": 934.69, "end": 934.95, "word": " to", "probability": 0.931640625}, {"start": 934.95, "end": 935.61, "word": " accumulating", "probability": 0.62158203125}, {"start": 935.61, "end": 935.81, "word": " as", "probability": 0.91259765625}, {"start": 935.81, "end": 936.01, "word": " much", "probability": 0.8359375}, {"start": 936.01, "end": 936.15, "word": " as", "probability": 0.97412109375}, {"start": 936.15, "end": 936.81, "word": " possible", "probability": 0.591796875}, {"start": 936.81, "end": 937.41, "word": " For", "probability": 0.169677734375}, {"start": 937.41, "end": 937.79, "word": " example,", "probability": 0.87646484375}, {"start": 938.03, "end": 938.37, "word": " this", "probability": 0.89111328125}, {"start": 938.37, "end": 938.67, "word": " young", "probability": 0.309326171875}, {"start": 938.67, "end": 938.77, "word": " man", "probability": 0.87548828125}, {"start": 938.77, "end": 938.99, "word": " went", "probability": 0.383544921875}, {"start": 938.99, "end": 939.11, "word": " to", "probability": 0.85498046875}, {"start": 939.11, "end": 939.39, "word": " buy", "probability": 0.92333984375}, {"start": 939.39, "end": 940.01, "word": " with", "probability": 0.1873779296875}, {"start": 940.01, "end": 940.49, "word": " twenty", "probability": 0.430419921875}, {"start": 940.49, "end": 940.83, "word": " dinars", "probability": 0.716552734375}, {"start": 940.83, "end": 941.07, "word": " of", "probability": 0.2266845703125}, {"start": 941.07, "end": 941.07, "word": " everything", "probability": 0.6279296875}, {"start": 941.07, "end": 941.25, "word": " he", "probability": 0.85302734375}, {"start": 941.25, "end": 941.55, "word": " owns", "probability": 0.3115234375}], "temperature": 1.0}, {"id": 41, "seek": 96301, "start": 941.91, "end": 963.01, "text": "He found his brother in debt of 20 dinars. The 20 dinars that his brother borrowed from him remained with him 0 dinars. He went or came back without buying anything. Without buying anything. Okay, here the power of the lens was used to cancel the fluctuation. The fluctuation reached the rays fluctuated by minus 10 diopters.", "tokens": [5205, 1352, 702, 3708, 294, 7831, 295, 945, 3791, 685, 13, 440, 945, 3791, 685, 300, 702, 3708, 26805, 490, 796, 12780, 365, 796, 1958, 3791, 685, 13, 634, 1437, 420, 1361, 646, 1553, 6382, 1340, 13, 9129, 6382, 1340, 13, 1033, 11, 510, 264, 1347, 295, 264, 6765, 390, 1143, 281, 10373, 264, 23448, 16073, 13, 440, 23448, 16073, 6488, 264, 24417, 23448, 27275, 538, 3175, 1266, 1026, 404, 1559, 13], "avg_logprob": -0.6476883692284153, "compression_ratio": 1.6927083333333333, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 941.91, "end": 942.13, "word": "He", "probability": 0.296875}, {"start": 942.13, "end": 942.35, "word": " found", "probability": 0.8603515625}, {"start": 942.35, "end": 943.05, "word": " his", "probability": 0.87109375}, {"start": 943.05, "end": 943.05, "word": " brother", "probability": 0.82470703125}, {"start": 943.05, "end": 943.57, "word": " in", "probability": 0.13818359375}, {"start": 943.57, "end": 943.91, "word": " debt", "probability": 0.7880859375}, {"start": 943.91, "end": 944.11, "word": " of", "probability": 0.291748046875}, {"start": 944.11, "end": 944.43, "word": " 20", "probability": 0.5048828125}, {"start": 944.43, "end": 944.91, "word": " dinars.", "probability": 0.79150390625}, {"start": 945.39, "end": 945.59, "word": " The", "probability": 0.485107421875}, {"start": 945.59, "end": 946.07, "word": " 20", "probability": 0.54833984375}, {"start": 946.07, "end": 946.61, "word": " dinars", "probability": 0.92626953125}, {"start": 946.61, "end": 946.69, "word": " that", "probability": 0.340087890625}, {"start": 946.69, "end": 947.21, "word": " his", "probability": 0.68310546875}, {"start": 947.21, "end": 947.45, "word": " brother", "probability": 0.83984375}, {"start": 947.45, "end": 947.45, "word": " borrowed", "probability": 0.2293701171875}, {"start": 947.45, "end": 947.45, "word": " from", "probability": 0.31494140625}, {"start": 947.45, "end": 947.51, "word": " him", "probability": 0.9140625}, {"start": 947.51, "end": 947.69, "word": " remained", "probability": 0.24853515625}, {"start": 947.69, "end": 947.89, "word": " with", "probability": 0.4990234375}, {"start": 947.89, "end": 948.05, "word": " him", "probability": 0.91162109375}, {"start": 948.05, "end": 948.23, "word": " 0", "probability": 0.3310546875}, {"start": 948.23, "end": 948.75, "word": " dinars.", "probability": 0.92919921875}, {"start": 948.97, "end": 949.43, "word": " He", "probability": 0.75830078125}, {"start": 949.43, "end": 949.63, "word": " went", "probability": 0.58544921875}, {"start": 949.63, "end": 950.05, "word": " or", "probability": 0.2032470703125}, {"start": 950.05, "end": 950.23, "word": " came", "probability": 0.32421875}, {"start": 950.23, "end": 950.41, "word": " back", "probability": 0.875}, {"start": 950.41, "end": 950.81, "word": " without", "probability": 0.80126953125}, {"start": 950.81, "end": 951.33, "word": " buying", "probability": 0.85693359375}, {"start": 951.33, "end": 951.67, "word": " anything.", "probability": 0.84130859375}, {"start": 951.85, "end": 952.03, "word": " Without", "probability": 0.45166015625}, {"start": 952.03, "end": 952.51, "word": " buying", "probability": 0.87060546875}, {"start": 952.51, "end": 952.85, "word": " anything.", "probability": 0.853515625}, {"start": 953.05, "end": 953.21, "word": " Okay,", "probability": 0.35546875}, {"start": 953.37, "end": 953.67, "word": " here", "probability": 0.79736328125}, {"start": 953.67, "end": 955.21, "word": " the", "probability": 0.448974609375}, {"start": 955.21, "end": 955.57, "word": " power", "probability": 0.487548828125}, {"start": 955.57, "end": 955.77, "word": " of", "probability": 0.9697265625}, {"start": 955.77, "end": 956.09, "word": " the", "probability": 0.8447265625}, {"start": 956.09, "end": 956.09, "word": " lens", "probability": 0.40234375}, {"start": 956.09, "end": 956.19, "word": " was", "probability": 0.20166015625}, {"start": 956.19, "end": 956.49, "word": " used", "probability": 0.202880859375}, {"start": 956.49, "end": 957.07, "word": " to", "probability": 0.7197265625}, {"start": 957.07, "end": 957.55, "word": " cancel", "probability": 0.387451171875}, {"start": 957.55, "end": 957.91, "word": " the", "probability": 0.74755859375}, {"start": 957.91, "end": 958.27, "word": " fluctuation.", "probability": 0.5751953125}, {"start": 958.33, "end": 958.49, "word": " The", "probability": 0.7724609375}, {"start": 958.49, "end": 959.09, "word": " fluctuation", "probability": 0.67236328125}, {"start": 959.09, "end": 959.57, "word": " reached", "probability": 0.802734375}, {"start": 959.57, "end": 959.75, "word": " the", "probability": 0.3115234375}, {"start": 959.75, "end": 960.19, "word": " rays", "probability": 0.12103271484375}, {"start": 960.19, "end": 961.03, "word": " fluctuated", "probability": 0.3365478515625}, {"start": 961.03, "end": 961.19, "word": " by", "probability": 0.442626953125}, {"start": 961.19, "end": 962.03, "word": " minus", "probability": 0.303466796875}, {"start": 962.03, "end": 962.47, "word": " 10", "probability": 0.74609375}, {"start": 962.47, "end": 963.01, "word": " diopters.", "probability": 0.5115966796875}], "temperature": 1.0}, {"id": 42, "seek": 98714, "start": 963.56, "end": 987.14, "text": "The 10th diopter was lost, so the divergence became zero, and nothing remained on the back surface of anything, then the light will come out of the lens, what does it have? The divergence is zero, v is equal to zero, which means what? Which means the divergence is zero, the divergence is zero, the rays will come out parallel to each other, okay, we want", "tokens": [2278, 1266, 392, 1026, 404, 391, 390, 2731, 11, 370, 264, 47387, 3062, 4018, 11, 293, 1825, 12780, 322, 264, 646, 3753, 295, 1340, 11, 550, 264, 1442, 486, 808, 484, 295, 264, 6765, 11, 437, 775, 309, 362, 30, 440, 47387, 307, 4018, 11, 371, 307, 2681, 281, 4018, 11, 597, 1355, 437, 30, 3013, 1355, 264, 47387, 307, 4018, 11, 264, 47387, 307, 4018, 11, 264, 24417, 486, 808, 484, 8952, 281, 1184, 661, 11, 1392, 11, 321, 528], "avg_logprob": -0.6006097808116819, "compression_ratio": 1.8298969072164948, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 963.56, "end": 963.8, "word": "The", "probability": 0.11956787109375}, {"start": 963.8, "end": 964.72, "word": " 10th", "probability": 0.3272705078125}, {"start": 964.72, "end": 965.16, "word": " diopter", "probability": 0.74267578125}, {"start": 965.16, "end": 965.16, "word": " was", "probability": 0.185791015625}, {"start": 965.16, "end": 965.16, "word": " lost,", "probability": 0.27001953125}, {"start": 965.32, "end": 965.34, "word": " so", "probability": 0.4365234375}, {"start": 965.34, "end": 966.54, "word": " the", "probability": 0.62353515625}, {"start": 966.54, "end": 966.88, "word": " divergence", "probability": 0.60009765625}, {"start": 966.88, "end": 967.26, "word": " became", "probability": 0.356201171875}, {"start": 967.26, "end": 967.6, "word": " zero,", "probability": 0.64013671875}, {"start": 967.96, "end": 967.98, "word": " and", "probability": 0.7724609375}, {"start": 967.98, "end": 968.08, "word": " nothing", "probability": 0.453369140625}, {"start": 968.08, "end": 968.28, "word": " remained", "probability": 0.7099609375}, {"start": 968.28, "end": 968.54, "word": " on", "probability": 0.339111328125}, {"start": 968.54, "end": 968.68, "word": " the", "probability": 0.8798828125}, {"start": 968.68, "end": 969.36, "word": " back", "probability": 0.40625}, {"start": 969.36, "end": 969.48, "word": " surface", "probability": 0.55322265625}, {"start": 969.48, "end": 969.64, "word": " of", "probability": 0.3330078125}, {"start": 969.64, "end": 970.34, "word": " anything,", "probability": 0.361328125}, {"start": 970.58, "end": 971.14, "word": " then", "probability": 0.3447265625}, {"start": 971.14, "end": 971.56, "word": " the", "probability": 0.69873046875}, {"start": 971.56, "end": 971.76, "word": " light", "probability": 0.86572265625}, {"start": 971.76, "end": 971.98, "word": " will", "probability": 0.5947265625}, {"start": 971.98, "end": 972.26, "word": " come", "probability": 0.50048828125}, {"start": 972.26, "end": 972.34, "word": " out", "probability": 0.75830078125}, {"start": 972.34, "end": 972.48, "word": " of", "probability": 0.6708984375}, {"start": 972.48, "end": 972.64, "word": " the", "probability": 0.798828125}, {"start": 972.64, "end": 972.94, "word": " lens,", "probability": 0.658203125}, {"start": 973.08, "end": 973.18, "word": " what", "probability": 0.2822265625}, {"start": 973.18, "end": 973.26, "word": " does", "probability": 0.3369140625}, {"start": 973.26, "end": 973.56, "word": " it", "probability": 0.83740234375}, {"start": 973.56, "end": 973.56, "word": " have?", "probability": 0.92431640625}, {"start": 974.06, "end": 974.42, "word": " The", "probability": 0.33251953125}, {"start": 974.42, "end": 974.8, "word": " divergence", "probability": 0.9755859375}, {"start": 974.8, "end": 975.06, "word": " is", "probability": 0.77783203125}, {"start": 975.06, "end": 975.36, "word": " zero,", "probability": 0.86181640625}, {"start": 975.88, "end": 976.2, "word": " v", "probability": 0.356201171875}, {"start": 976.2, "end": 976.42, "word": " is", "probability": 0.1295166015625}, {"start": 976.42, "end": 976.68, "word": " equal", "probability": 0.85400390625}, {"start": 976.68, "end": 977.06, "word": " to", "probability": 0.96240234375}, {"start": 977.06, "end": 977.48, "word": " zero,", "probability": 0.8466796875}, {"start": 977.62, "end": 977.72, "word": " which", "probability": 0.418212890625}, {"start": 977.72, "end": 977.88, "word": " means", "probability": 0.89794921875}, {"start": 977.88, "end": 978.16, "word": " what?", "probability": 0.63671875}, {"start": 978.86, "end": 979.12, "word": " Which", "probability": 0.298828125}, {"start": 979.12, "end": 979.2, "word": " means", "probability": 0.9228515625}, {"start": 979.2, "end": 979.34, "word": " the", "probability": 0.287841796875}, {"start": 979.34, "end": 979.72, "word": " divergence", "probability": 0.98193359375}, {"start": 979.72, "end": 980.2, "word": " is", "probability": 0.88818359375}, {"start": 980.2, "end": 980.52, "word": " zero,", "probability": 0.88134765625}, {"start": 980.66, "end": 980.76, "word": " the", "probability": 0.47509765625}, {"start": 980.76, "end": 981.08, "word": " divergence", "probability": 0.87353515625}, {"start": 981.08, "end": 981.4, "word": " is", "probability": 0.92333984375}, {"start": 981.4, "end": 981.56, "word": " zero,", "probability": 0.8935546875}, {"start": 981.66, "end": 981.72, "word": " the", "probability": 0.27490234375}, {"start": 981.72, "end": 981.92, "word": " rays", "probability": 0.51904296875}, {"start": 981.92, "end": 982.22, "word": " will", "probability": 0.8291015625}, {"start": 982.22, "end": 982.52, "word": " come", "probability": 0.384033203125}, {"start": 982.52, "end": 983.46, "word": " out", "probability": 0.85888671875}, {"start": 983.46, "end": 983.6, "word": " parallel", "probability": 0.74560546875}, {"start": 983.6, "end": 983.94, "word": " to", "probability": 0.93017578125}, {"start": 983.94, "end": 984.78, "word": " each", "probability": 0.9326171875}, {"start": 984.78, "end": 984.96, "word": " other,", "probability": 0.90234375}, {"start": 985.72, "end": 986.02, "word": " okay,", "probability": 0.52783203125}, {"start": 986.56, "end": 986.86, "word": " we", "probability": 0.8857421875}, {"start": 986.86, "end": 987.14, "word": " want", "probability": 0.8056640625}], "temperature": 1.0}, {"id": 43, "seek": 101562, "start": 988.3, "end": 1015.62, "text": "Let's give a third example The power of the lens is still ten diopters We say as follows The light now has to emit from point to point at a distance of five centimeters from the lens That is, the object is close to a distance of five centimeters How much is the U? How much is the amplitude of the light when it reaches the surface of the lens? We say U is equal to", "tokens": [8373, 311, 976, 257, 2636, 1365, 440, 1347, 295, 264, 6765, 307, 920, 2064, 1026, 404, 1559, 492, 584, 382, 10002, 440, 1442, 586, 575, 281, 32084, 490, 935, 281, 935, 412, 257, 4560, 295, 1732, 23300, 490, 264, 6765, 663, 307, 11, 264, 2657, 307, 1998, 281, 257, 4560, 295, 1732, 23300, 1012, 709, 307, 264, 624, 30, 1012, 709, 307, 264, 27433, 295, 264, 1442, 562, 309, 14235, 264, 3753, 295, 264, 6765, 30, 492, 584, 624, 307, 2681, 281], "avg_logprob": -0.48983432657747383, "compression_ratio": 1.7718446601941749, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 988.3000000000001, "end": 988.82, "word": "Let's", "probability": 0.5137939453125}, {"start": 988.82, "end": 988.96, "word": " give", "probability": 0.1614990234375}, {"start": 988.96, "end": 989.46, "word": " a", "probability": 0.64892578125}, {"start": 989.46, "end": 989.8, "word": " third", "probability": 0.8896484375}, {"start": 989.8, "end": 989.8, "word": " example", "probability": 0.97314453125}, {"start": 989.8, "end": 990.28, "word": " The", "probability": 0.4326171875}, {"start": 990.28, "end": 990.4, "word": " power", "probability": 0.1585693359375}, {"start": 990.4, "end": 990.6, "word": " of", "probability": 0.9677734375}, {"start": 990.6, "end": 991.12, "word": " the", "probability": 0.81787109375}, {"start": 991.12, "end": 991.38, "word": " lens", "probability": 0.5478515625}, {"start": 991.38, "end": 991.66, "word": " is", "probability": 0.72705078125}, {"start": 991.66, "end": 991.92, "word": " still", "probability": 0.9326171875}, {"start": 991.92, "end": 992.34, "word": " ten", "probability": 0.40478515625}, {"start": 992.34, "end": 993.18, "word": " diopters", "probability": 0.8292643229166666}, {"start": 993.18, "end": 993.28, "word": " We", "probability": 0.226318359375}, {"start": 993.28, "end": 993.54, "word": " say", "probability": 0.79638671875}, {"start": 993.54, "end": 993.72, "word": " as", "probability": 0.78564453125}, {"start": 993.72, "end": 994.14, "word": " follows", "probability": 0.7431640625}, {"start": 994.14, "end": 996.26, "word": " The", "probability": 0.49853515625}, {"start": 996.26, "end": 996.56, "word": " light", "probability": 0.85400390625}, {"start": 996.56, "end": 997.1, "word": " now", "probability": 0.69970703125}, {"start": 997.1, "end": 997.88, "word": " has", "probability": 0.1917724609375}, {"start": 997.88, "end": 998.06, "word": " to", "probability": 0.95166015625}, {"start": 998.06, "end": 998.3, "word": " emit", "probability": 0.1566162109375}, {"start": 998.3, "end": 998.48, "word": " from", "probability": 0.787109375}, {"start": 998.48, "end": 998.9, "word": " point", "probability": 0.454833984375}, {"start": 998.9, "end": 999.72, "word": " to", "probability": 0.876953125}, {"start": 999.72, "end": 1000.18, "word": " point", "probability": 0.96630859375}, {"start": 1000.18, "end": 1000.88, "word": " at", "probability": 0.1593017578125}, {"start": 1000.88, "end": 1001.38, "word": " a", "probability": 0.75732421875}, {"start": 1001.38, "end": 1001.38, "word": " distance", "probability": 0.79638671875}, {"start": 1001.38, "end": 1001.94, "word": " of", "probability": 0.80859375}, {"start": 1001.94, "end": 1002.6, "word": " five", "probability": 0.81591796875}, {"start": 1002.6, "end": 1003.24, "word": " centimeters", "probability": 0.83349609375}, {"start": 1003.24, "end": 1004.4, "word": " from", "probability": 0.8193359375}, {"start": 1004.4, "end": 1005.76, "word": " the", "probability": 0.91943359375}, {"start": 1005.76, "end": 1005.98, "word": " lens", "probability": 0.810546875}, {"start": 1005.98, "end": 1006.18, "word": " That", "probability": 0.205322265625}, {"start": 1006.18, "end": 1006.18, "word": " is,", "probability": 0.84814453125}, {"start": 1006.22, "end": 1006.3, "word": " the", "probability": 0.80322265625}, {"start": 1006.3, "end": 1006.8, "word": " object", "probability": 0.9716796875}, {"start": 1006.8, "end": 1007.26, "word": " is", "probability": 0.67236328125}, {"start": 1007.26, "end": 1007.52, "word": " close", "probability": 0.32470703125}, {"start": 1007.52, "end": 1007.78, "word": " to", "probability": 0.73291015625}, {"start": 1007.78, "end": 1007.92, "word": " a", "probability": 0.830078125}, {"start": 1007.92, "end": 1008.08, "word": " distance", "probability": 0.84228515625}, {"start": 1008.08, "end": 1008.18, "word": " of", "probability": 0.94384765625}, {"start": 1008.18, "end": 1008.46, "word": " five", "probability": 0.85302734375}, {"start": 1008.46, "end": 1009.02, "word": " centimeters", "probability": 0.91064453125}, {"start": 1009.02, "end": 1009.62, "word": " How", "probability": 0.1209716796875}, {"start": 1009.62, "end": 1009.88, "word": " much", "probability": 0.70166015625}, {"start": 1009.88, "end": 1009.94, "word": " is", "probability": 0.55908203125}, {"start": 1009.94, "end": 1010.06, "word": " the", "probability": 0.7001953125}, {"start": 1010.06, "end": 1010.16, "word": " U?", "probability": 0.221435546875}, {"start": 1010.22, "end": 1010.42, "word": " How", "probability": 0.74560546875}, {"start": 1010.42, "end": 1010.58, "word": " much", "probability": 0.77685546875}, {"start": 1010.58, "end": 1010.7, "word": " is", "probability": 0.798828125}, {"start": 1010.7, "end": 1010.86, "word": " the", "probability": 0.89404296875}, {"start": 1010.86, "end": 1011.24, "word": " amplitude", "probability": 0.1202392578125}, {"start": 1011.24, "end": 1011.94, "word": " of", "probability": 0.86962890625}, {"start": 1011.94, "end": 1012.28, "word": " the", "probability": 0.433349609375}, {"start": 1012.28, "end": 1012.54, "word": " light", "probability": 0.84912109375}, {"start": 1012.54, "end": 1012.84, "word": " when", "probability": 0.853515625}, {"start": 1012.84, "end": 1012.98, "word": " it", "probability": 0.93603515625}, {"start": 1012.98, "end": 1013.18, "word": " reaches", "probability": 0.87548828125}, {"start": 1013.18, "end": 1013.36, "word": " the", "probability": 0.92431640625}, {"start": 1013.36, "end": 1013.52, "word": " surface", "probability": 0.53857421875}, {"start": 1013.52, "end": 1013.66, "word": " of", "probability": 0.96435546875}, {"start": 1013.66, "end": 1013.72, "word": " the", "probability": 0.92626953125}, {"start": 1013.72, "end": 1013.94, "word": " lens?", "probability": 0.85693359375}, {"start": 1014.04, "end": 1014.2, "word": " We", "probability": 0.81591796875}, {"start": 1014.2, "end": 1014.52, "word": " say", "probability": 0.94482421875}, {"start": 1014.52, "end": 1015.34, "word": " U", "probability": 0.58349609375}, {"start": 1015.34, "end": 1015.52, "word": " is", "probability": 0.387939453125}, {"start": 1015.52, "end": 1015.62, "word": " equal", "probability": 0.849609375}, {"start": 1015.62, "end": 1015.62, "word": " to", "probability": 0.8564453125}], "temperature": 1.0}, {"id": 44, "seek": 104734, "start": 1017.93, "end": 1047.35, "text": "minus n over O which is equal to minus one which is the refractive index of the air over O which is five centimeters the object is five centimeters away which is minus five centimeters which is five out of one hundred meters five out of one hundred meters which is equal", "tokens": [2367, 301, 297, 670, 422, 597, 307, 2681, 281, 3175, 472, 597, 307, 264, 45353, 488, 8186, 295, 264, 1988, 670, 422, 597, 307, 1732, 23300, 264, 2657, 307, 1732, 23300, 1314, 597, 307, 3175, 1732, 23300, 597, 307, 1732, 484, 295, 472, 3262, 8146, 1732, 484, 295, 472, 3262, 8146, 597, 307, 2681], "avg_logprob": -0.48579544479196723, "compression_ratio": 2.25, "no_speech_prob": 1.7881393432617188e-06, "words": [{"start": 1017.93, "end": 1018.53, "word": "minus", "probability": 0.601318359375}, {"start": 1018.53, "end": 1018.93, "word": " n", "probability": 0.45849609375}, {"start": 1018.93, "end": 1020.57, "word": " over", "probability": 0.452392578125}, {"start": 1020.57, "end": 1021.61, "word": " O", "probability": 0.6552734375}, {"start": 1021.61, "end": 1022.45, "word": " which", "probability": 0.2044677734375}, {"start": 1022.45, "end": 1022.57, "word": " is", "probability": 0.70751953125}, {"start": 1022.57, "end": 1023.01, "word": " equal", "probability": 0.77294921875}, {"start": 1023.01, "end": 1023.71, "word": " to", "probability": 0.74951171875}, {"start": 1023.71, "end": 1024.01, "word": " minus", "probability": 0.36767578125}, {"start": 1024.01, "end": 1027.21, "word": " one", "probability": 0.415771484375}, {"start": 1027.21, "end": 1027.73, "word": " which", "probability": 0.47265625}, {"start": 1027.73, "end": 1027.79, "word": " is", "probability": 0.919921875}, {"start": 1027.79, "end": 1027.79, "word": " the", "probability": 0.7041015625}, {"start": 1027.79, "end": 1028.31, "word": " refractive", "probability": 0.67431640625}, {"start": 1028.31, "end": 1028.63, "word": " index", "probability": 0.93701171875}, {"start": 1028.63, "end": 1028.85, "word": " of", "probability": 0.82177734375}, {"start": 1028.85, "end": 1028.95, "word": " the", "probability": 0.349609375}, {"start": 1028.95, "end": 1029.19, "word": " air", "probability": 0.6669921875}, {"start": 1029.19, "end": 1029.63, "word": " over", "probability": 0.7978515625}, {"start": 1029.63, "end": 1030.85, "word": " O", "probability": 0.8359375}, {"start": 1030.85, "end": 1031.15, "word": " which", "probability": 0.541015625}, {"start": 1031.15, "end": 1031.15, "word": " is", "probability": 0.89208984375}, {"start": 1031.15, "end": 1031.45, "word": " five", "probability": 0.59814453125}, {"start": 1031.45, "end": 1031.91, "word": " centimeters", "probability": 0.77197265625}, {"start": 1031.91, "end": 1032.05, "word": " the", "probability": 0.327880859375}, {"start": 1032.05, "end": 1032.43, "word": " object", "probability": 0.95556640625}, {"start": 1032.43, "end": 1032.63, "word": " is", "probability": 0.2259521484375}, {"start": 1032.63, "end": 1033.11, "word": " five", "probability": 0.5810546875}, {"start": 1033.11, "end": 1033.77, "word": " centimeters", "probability": 0.8818359375}, {"start": 1033.77, "end": 1033.77, "word": " away", "probability": 0.82470703125}, {"start": 1033.77, "end": 1034.29, "word": " which", "probability": 0.293701171875}, {"start": 1034.29, "end": 1034.35, "word": " is", "probability": 0.8037109375}, {"start": 1034.35, "end": 1034.97, "word": " minus", "probability": 0.6396484375}, {"start": 1034.97, "end": 1037.57, "word": " five", "probability": 0.289306640625}, {"start": 1037.57, "end": 1037.93, "word": " centimeters", "probability": 0.73193359375}, {"start": 1037.93, "end": 1038.11, "word": " which", "probability": 0.66259765625}, {"start": 1038.11, "end": 1038.11, "word": " is", "probability": 0.81884765625}, {"start": 1038.11, "end": 1038.53, "word": " five", "probability": 0.82275390625}, {"start": 1038.53, "end": 1039.71, "word": " out", "probability": 0.416259765625}, {"start": 1039.71, "end": 1039.71, "word": " of", "probability": 0.97900390625}, {"start": 1039.71, "end": 1039.81, "word": " one", "probability": 0.61767578125}, {"start": 1039.81, "end": 1040.17, "word": " hundred", "probability": 0.92529296875}, {"start": 1040.17, "end": 1042.21, "word": " meters", "probability": 0.8681640625}, {"start": 1042.21, "end": 1045.23, "word": " five", "probability": 0.45263671875}, {"start": 1045.23, "end": 1045.45, "word": " out", "probability": 0.833984375}, {"start": 1045.45, "end": 1045.51, "word": " of", "probability": 0.97607421875}, {"start": 1045.51, "end": 1045.57, "word": " one", "probability": 0.91259765625}, {"start": 1045.57, "end": 1045.85, "word": " hundred", "probability": 0.9404296875}, {"start": 1045.85, "end": 1046.57, "word": " meters", "probability": 0.93896484375}, {"start": 1046.57, "end": 1046.87, "word": " which", "probability": 0.724609375}, {"start": 1046.87, "end": 1046.97, "word": " is", "probability": 0.90576171875}, {"start": 1046.97, "end": 1047.35, "word": " equal", "probability": 0.849609375}], "temperature": 1.0}, {"id": 45, "seek": 107532, "start": 1049.72, "end": 1075.32, "text": "minus twenty diopter one over five percent of course minus on plus becomes minus and one over five percent meter becomes minus twenty diopter so the light will reach the front surface of the lens with a magnitude of minus twenty diopter okay, the lens has a force of only ten the lens has a force of only ten okay, let's go back to the previous example", "tokens": [2367, 301, 7699, 1026, 404, 391, 472, 670, 1732, 3043, 295, 1164, 3175, 322, 1804, 3643, 3175, 293, 472, 670, 1732, 3043, 9255, 3643, 3175, 7699, 1026, 404, 391, 370, 264, 1442, 486, 2524, 264, 1868, 3753, 295, 264, 6765, 365, 257, 15668, 295, 3175, 7699, 1026, 404, 391, 1392, 11, 264, 40116, 82, 575, 257, 3464, 295, 787, 2064, 264, 6765, 575, 257, 3464, 295, 787, 2064, 1392, 11, 718, 311, 352, 646, 281, 264, 3894, 1365], "avg_logprob": -0.42642404912393306, "compression_ratio": 2.0229885057471266, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1049.72, "end": 1050.26, "word": "minus", "probability": 0.6409912109375}, {"start": 1050.26, "end": 1050.8, "word": " twenty", "probability": 0.4033203125}, {"start": 1050.8, "end": 1051.62, "word": " diopter", "probability": 0.74609375}, {"start": 1051.62, "end": 1052.62, "word": " one", "probability": 0.62646484375}, {"start": 1052.62, "end": 1053.0, "word": " over", "probability": 0.236328125}, {"start": 1053.0, "end": 1053.26, "word": " five", "probability": 0.880859375}, {"start": 1053.26, "end": 1053.56, "word": " percent", "probability": 0.4677734375}, {"start": 1053.56, "end": 1053.76, "word": " of", "probability": 0.74169921875}, {"start": 1053.76, "end": 1053.9, "word": " course", "probability": 0.91796875}, {"start": 1053.9, "end": 1054.28, "word": " minus", "probability": 0.8125}, {"start": 1054.28, "end": 1054.5, "word": " on", "probability": 0.318359375}, {"start": 1054.5, "end": 1054.86, "word": " plus", "probability": 0.7978515625}, {"start": 1054.86, "end": 1055.24, "word": " becomes", "probability": 0.480224609375}, {"start": 1055.24, "end": 1055.78, "word": " minus", "probability": 0.97705078125}, {"start": 1055.78, "end": 1056.36, "word": " and", "probability": 0.4755859375}, {"start": 1056.36, "end": 1056.62, "word": " one", "probability": 0.841796875}, {"start": 1056.62, "end": 1056.76, "word": " over", "probability": 0.51025390625}, {"start": 1056.76, "end": 1056.96, "word": " five", "probability": 0.9130859375}, {"start": 1056.96, "end": 1057.3, "word": " percent", "probability": 0.80517578125}, {"start": 1057.3, "end": 1058.34, "word": " meter", "probability": 0.33740234375}, {"start": 1058.34, "end": 1058.64, "word": " becomes", "probability": 0.57763671875}, {"start": 1058.64, "end": 1059.04, "word": " minus", "probability": 0.9609375}, {"start": 1059.04, "end": 1059.48, "word": " twenty", "probability": 0.83447265625}, {"start": 1059.48, "end": 1059.88, "word": " diopter", "probability": 0.8956705729166666}, {"start": 1059.88, "end": 1060.12, "word": " so", "probability": 0.47265625}, {"start": 1060.12, "end": 1060.34, "word": " the", "probability": 0.447021484375}, {"start": 1060.34, "end": 1060.54, "word": " light", "probability": 0.76953125}, {"start": 1060.54, "end": 1060.72, "word": " will", "probability": 0.57275390625}, {"start": 1060.72, "end": 1061.0, "word": " reach", "probability": 0.83544921875}, {"start": 1061.0, "end": 1061.26, "word": " the", "probability": 0.7509765625}, {"start": 1061.26, "end": 1062.04, "word": " front", "probability": 0.74365234375}, {"start": 1062.04, "end": 1062.28, "word": " surface", "probability": 0.433837890625}, {"start": 1062.28, "end": 1062.58, "word": " of", "probability": 0.8876953125}, {"start": 1062.58, "end": 1062.74, "word": " the", "probability": 0.90380859375}, {"start": 1062.74, "end": 1063.14, "word": " lens", "probability": 0.66796875}, {"start": 1063.14, "end": 1064.74, "word": " with", "probability": 0.458740234375}, {"start": 1064.74, "end": 1064.92, "word": " a", "probability": 0.447509765625}, {"start": 1064.92, "end": 1065.34, "word": " magnitude", "probability": 0.32666015625}, {"start": 1065.34, "end": 1065.5, "word": " of", "probability": 0.541015625}, {"start": 1065.5, "end": 1066.56, "word": " minus", "probability": 0.9560546875}, {"start": 1066.56, "end": 1067.14, "word": " twenty", "probability": 0.8271484375}, {"start": 1067.14, "end": 1067.78, "word": " diopter", "probability": 0.9070638020833334}, {"start": 1067.78, "end": 1068.56, "word": " okay,", "probability": 0.29150390625}, {"start": 1068.68, "end": 1069.3, "word": " the", "probability": 0.78076171875}, {"start": 1069.3, "end": 1069.54, "word": " lens", "probability": 0.6304931640625}, {"start": 1069.54, "end": 1069.68, "word": " has", "probability": 0.28662109375}, {"start": 1069.68, "end": 1069.74, "word": " a", "probability": 0.40234375}, {"start": 1069.74, "end": 1069.8, "word": " force", "probability": 0.358154296875}, {"start": 1069.8, "end": 1070.0, "word": " of", "probability": 0.8076171875}, {"start": 1070.0, "end": 1070.2, "word": " only", "probability": 0.75341796875}, {"start": 1070.2, "end": 1070.56, "word": " ten", "probability": 0.921875}, {"start": 1070.56, "end": 1071.64, "word": " the", "probability": 0.198974609375}, {"start": 1071.64, "end": 1071.94, "word": " lens", "probability": 0.72802734375}, {"start": 1071.94, "end": 1072.16, "word": " has", "probability": 0.85107421875}, {"start": 1072.16, "end": 1072.18, "word": " a", "probability": 0.88671875}, {"start": 1072.18, "end": 1072.3, "word": " force", "probability": 0.95947265625}, {"start": 1072.3, "end": 1072.56, "word": " of", "probability": 0.9287109375}, {"start": 1072.56, "end": 1072.8, "word": " only", "probability": 0.85302734375}, {"start": 1072.8, "end": 1073.16, "word": " ten", "probability": 0.94140625}, {"start": 1073.16, "end": 1073.8, "word": " okay,", "probability": 0.68896484375}, {"start": 1074.0, "end": 1074.12, "word": " let's", "probability": 0.79345703125}, {"start": 1074.12, "end": 1074.32, "word": " go", "probability": 0.79345703125}, {"start": 1074.32, "end": 1074.4, "word": " back", "probability": 0.865234375}, {"start": 1074.4, "end": 1074.6, "word": " to", "probability": 0.9638671875}, {"start": 1074.6, "end": 1074.84, "word": " the", "probability": 0.90380859375}, {"start": 1074.84, "end": 1074.84, "word": " previous", "probability": 0.64208984375}, {"start": 1074.84, "end": 1075.32, "word": " example", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 46, "seek": 110635, "start": 1077.2, "end": 1106.36, "text": "We say, he went to buy with twenty dinars, his brother found a lender with twenty-five dinars, he will pay twenty dinars, and the receipt will still be in his hand. Here, the lens will exert all its force on the front surface to change the fluctuation state to light, and we will still have, what does he have? We will still have a fluctuation, but in less amount, in amount", "tokens": [4360, 584, 11, 415, 1437, 281, 2256, 365, 7699, 3791, 685, 11, 702, 3708, 1352, 257, 47500, 365, 7699, 12, 18621, 3791, 685, 11, 415, 486, 1689, 7699, 3791, 685, 11, 293, 264, 33882, 486, 920, 312, 294, 702, 1011, 13, 1692, 11, 264, 6765, 486, 31941, 439, 1080, 3464, 322, 264, 1868, 3753, 281, 1319, 264, 23448, 16073, 1785, 281, 1442, 11, 293, 321, 486, 920, 362, 11, 437, 775, 415, 362, 30, 492, 486, 920, 362, 257, 23448, 16073, 11, 457, 294, 1570, 2372, 11, 294, 2372], "avg_logprob": -0.5756944398085276, "compression_ratio": 1.7980769230769231, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1077.2, "end": 1077.38, "word": "We", "probability": 0.388671875}, {"start": 1077.38, "end": 1077.7, "word": " say,", "probability": 0.85546875}, {"start": 1077.8, "end": 1078.16, "word": " he", "probability": 0.484375}, {"start": 1078.16, "end": 1078.16, "word": " went", "probability": 0.51171875}, {"start": 1078.16, "end": 1078.3, "word": " to", "probability": 0.67626953125}, {"start": 1078.3, "end": 1078.58, "word": " buy", "probability": 0.8916015625}, {"start": 1078.58, "end": 1078.82, "word": " with", "probability": 0.5400390625}, {"start": 1078.82, "end": 1079.26, "word": " twenty", "probability": 0.498779296875}, {"start": 1079.26, "end": 1079.78, "word": " dinars,", "probability": 0.843017578125}, {"start": 1080.28, "end": 1080.64, "word": " his", "probability": 0.52587890625}, {"start": 1080.64, "end": 1081.06, "word": " brother", "probability": 0.865234375}, {"start": 1081.06, "end": 1081.06, "word": " found", "probability": 0.517578125}, {"start": 1081.06, "end": 1082.08, "word": " a", "probability": 0.71533203125}, {"start": 1082.08, "end": 1082.08, "word": " lender", "probability": 0.50830078125}, {"start": 1082.08, "end": 1082.64, "word": " with", "probability": 0.7705078125}, {"start": 1082.64, "end": 1083.14, "word": " twenty", "probability": 0.81884765625}, {"start": 1083.14, "end": 1083.28, "word": "-five", "probability": 0.76220703125}, {"start": 1083.28, "end": 1083.78, "word": " dinars,", "probability": 0.93310546875}, {"start": 1083.9, "end": 1084.28, "word": " he", "probability": 0.5654296875}, {"start": 1084.28, "end": 1084.4, "word": " will", "probability": 0.49951171875}, {"start": 1084.4, "end": 1084.6, "word": " pay", "probability": 0.1429443359375}, {"start": 1084.6, "end": 1085.02, "word": " twenty", "probability": 0.36865234375}, {"start": 1085.02, "end": 1085.34, "word": " dinars,", "probability": 0.963623046875}, {"start": 1085.4, "end": 1085.44, "word": " and", "probability": 0.78173828125}, {"start": 1085.44, "end": 1087.1, "word": " the", "probability": 0.62109375}, {"start": 1087.1, "end": 1087.46, "word": " receipt", "probability": 0.2415771484375}, {"start": 1087.46, "end": 1087.7, "word": " will", "probability": 0.445068359375}, {"start": 1087.7, "end": 1087.7, "word": " still", "probability": 0.63623046875}, {"start": 1087.7, "end": 1087.7, "word": " be", "probability": 0.47509765625}, {"start": 1087.7, "end": 1087.7, "word": " in", "probability": 0.17919921875}, {"start": 1087.7, "end": 1089.2, "word": " his", "probability": 0.64892578125}, {"start": 1089.2, "end": 1089.42, "word": " hand.", "probability": 0.443603515625}, {"start": 1089.56, "end": 1090.04, "word": " Here,", "probability": 0.615234375}, {"start": 1090.48, "end": 1090.84, "word": " the", "probability": 0.86474609375}, {"start": 1090.84, "end": 1090.84, "word": " lens", "probability": 0.55908203125}, {"start": 1090.84, "end": 1091.08, "word": " will", "probability": 0.8134765625}, {"start": 1091.08, "end": 1091.44, "word": " exert", "probability": 0.17041015625}, {"start": 1091.44, "end": 1091.86, "word": " all", "probability": 0.82763671875}, {"start": 1091.86, "end": 1092.02, "word": " its", "probability": 0.83935546875}, {"start": 1092.02, "end": 1092.38, "word": " force", "probability": 0.43408203125}, {"start": 1092.38, "end": 1093.64, "word": " on", "probability": 0.833984375}, {"start": 1093.64, "end": 1093.8, "word": " the", "probability": 0.9287109375}, {"start": 1093.8, "end": 1094.48, "word": " front", "probability": 0.85302734375}, {"start": 1094.48, "end": 1094.7, "word": " surface", "probability": 0.73828125}, {"start": 1094.7, "end": 1095.34, "word": " to", "probability": 0.7890625}, {"start": 1095.34, "end": 1095.9, "word": " change", "probability": 0.89453125}, {"start": 1095.9, "end": 1096.14, "word": " the", "probability": 0.849609375}, {"start": 1096.14, "end": 1097.2, "word": " fluctuation", "probability": 0.30975341796875}, {"start": 1097.2, "end": 1097.4, "word": " state", "probability": 0.58203125}, {"start": 1097.4, "end": 1097.96, "word": " to", "probability": 0.62744140625}, {"start": 1097.96, "end": 1098.36, "word": " light,", "probability": 0.6064453125}, {"start": 1098.9, "end": 1099.18, "word": " and", "probability": 0.9150390625}, {"start": 1099.18, "end": 1099.9, "word": " we", "probability": 0.406982421875}, {"start": 1099.9, "end": 1100.06, "word": " will", "probability": 0.62548828125}, {"start": 1100.06, "end": 1100.06, "word": " still", "probability": 0.94287109375}, {"start": 1100.06, "end": 1100.86, "word": " have,", "probability": 0.8974609375}, {"start": 1100.88, "end": 1101.08, "word": " what", "probability": 0.80712890625}, {"start": 1101.08, "end": 1101.22, "word": " does", "probability": 0.31591796875}, {"start": 1101.22, "end": 1101.52, "word": " he", "probability": 0.45166015625}, {"start": 1101.52, "end": 1101.52, "word": " have?", "probability": 0.90625}, {"start": 1101.74, "end": 1102.06, "word": " We", "probability": 0.44873046875}, {"start": 1102.06, "end": 1102.22, "word": " will", "probability": 0.81298828125}, {"start": 1102.22, "end": 1102.4, "word": " still", "probability": 0.48486328125}, {"start": 1102.4, "end": 1103.16, "word": " have", "probability": 0.9150390625}, {"start": 1103.16, "end": 1103.62, "word": " a", "probability": 0.47265625}, {"start": 1103.62, "end": 1104.04, "word": " fluctuation,", "probability": 0.913818359375}, {"start": 1104.18, "end": 1104.48, "word": " but", "probability": 0.919921875}, {"start": 1104.48, "end": 1104.68, "word": " in", "probability": 0.357666015625}, {"start": 1104.68, "end": 1105.74, "word": " less", "probability": 0.343017578125}, {"start": 1105.74, "end": 1105.74, "word": " amount,", "probability": 0.51806640625}, {"start": 1105.9, "end": 1106.0, "word": " in", "probability": 0.72607421875}, {"start": 1106.0, "end": 1106.36, "word": " amount", "probability": 0.61962890625}], "temperature": 1.0}, {"id": 47, "seek": 113608, "start": 1107.56, "end": 1136.08, "text": " less as my picture shows the light here is still fluctuating but it is less fluctuating than", "tokens": [1570, 382, 452, 3036, 3110, 264, 1442, 510, 307, 920, 23448, 32438, 457, 309, 307, 1570, 23448, 32438, 813], "avg_logprob": -0.5976562350988388, "compression_ratio": 1.273972602739726, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1107.56, "end": 1108.06, "word": " less", "probability": 0.1881103515625}, {"start": 1108.06, "end": 1108.98, "word": " as", "probability": 0.3427734375}, {"start": 1108.98, "end": 1109.2, "word": " my", "probability": 0.15087890625}, {"start": 1109.2, "end": 1109.46, "word": " picture", "probability": 0.5458984375}, {"start": 1109.46, "end": 1110.88, "word": " shows", "probability": 0.4658203125}, {"start": 1110.88, "end": 1116.36, "word": " the", "probability": 0.2734375}, {"start": 1116.36, "end": 1116.64, "word": " light", "probability": 0.6220703125}, {"start": 1116.64, "end": 1118.04, "word": " here", "probability": 0.75537109375}, {"start": 1118.04, "end": 1123.86, "word": " is", "probability": 0.5693359375}, {"start": 1123.86, "end": 1124.34, "word": " still", "probability": 0.97119140625}, {"start": 1124.34, "end": 1125.24, "word": " fluctuating", "probability": 0.63818359375}, {"start": 1125.24, "end": 1133.02, "word": " but", "probability": 0.783203125}, {"start": 1133.02, "end": 1133.38, "word": " it", "probability": 0.84521484375}, {"start": 1133.38, "end": 1133.44, "word": " is", "probability": 0.53466796875}, {"start": 1133.44, "end": 1133.88, "word": " less", "probability": 0.86279296875}, {"start": 1133.88, "end": 1134.52, "word": " fluctuating", "probability": 0.871337890625}, {"start": 1134.52, "end": 1136.08, "word": " than", "probability": 0.79541015625}], "temperature": 1.0}, {"id": 48, "seek": 116325, "start": 1137.61, "end": 1163.25, "text": "It was on him before the lens was inserted. How do we prove this? We say as follows, follow or pay attention. If the light did not hit the lens, it was supposed to continue its way in this way. These are the yellow rays that entered the lens. Imagine that the lens is not present", "tokens": [3522, 390, 322, 796, 949, 264, 6765, 390, 27992, 13, 1012, 360, 321, 7081, 341, 30, 492, 584, 382, 10002, 11, 1524, 420, 1689, 3202, 13, 759, 264, 1442, 630, 406, 2045, 264, 6765, 11, 309, 390, 3442, 281, 2354, 1080, 636, 294, 341, 636, 13, 1981, 366, 264, 5566, 24417, 300, 9065, 264, 6765, 13, 11739, 300, 264, 6765, 307, 406, 1974], "avg_logprob": -0.5268554538488388, "compression_ratio": 1.6127167630057804, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 1137.6100000000001, "end": 1138.21, "word": "It", "probability": 0.1326904296875}, {"start": 1138.21, "end": 1138.41, "word": " was", "probability": 0.65185546875}, {"start": 1138.41, "end": 1138.59, "word": " on", "probability": 0.320068359375}, {"start": 1138.59, "end": 1138.73, "word": " him", "probability": 0.61767578125}, {"start": 1138.73, "end": 1139.09, "word": " before", "probability": 0.8291015625}, {"start": 1139.09, "end": 1139.59, "word": " the", "probability": 0.60888671875}, {"start": 1139.59, "end": 1139.85, "word": " lens", "probability": 0.6025390625}, {"start": 1139.85, "end": 1139.87, "word": " was", "probability": 0.16162109375}, {"start": 1139.87, "end": 1139.87, "word": " inserted.", "probability": 0.6416015625}, {"start": 1140.03, "end": 1140.25, "word": " How", "probability": 0.79443359375}, {"start": 1140.25, "end": 1140.37, "word": " do", "probability": 0.48193359375}, {"start": 1140.37, "end": 1140.41, "word": " we", "probability": 0.8759765625}, {"start": 1140.41, "end": 1140.63, "word": " prove", "probability": 0.861328125}, {"start": 1140.63, "end": 1140.91, "word": " this?", "probability": 0.701171875}, {"start": 1141.35, "end": 1141.53, "word": " We", "probability": 0.658203125}, {"start": 1141.53, "end": 1141.71, "word": " say", "probability": 0.74853515625}, {"start": 1141.71, "end": 1141.91, "word": " as", "probability": 0.5546875}, {"start": 1141.91, "end": 1142.27, "word": " follows,", "probability": 0.68994140625}, {"start": 1142.35, "end": 1142.77, "word": " follow", "probability": 0.358154296875}, {"start": 1142.77, "end": 1145.15, "word": " or", "probability": 0.251708984375}, {"start": 1145.15, "end": 1147.91, "word": " pay", "probability": 0.20947265625}, {"start": 1147.91, "end": 1148.11, "word": " attention.", "probability": 0.94580078125}, {"start": 1148.61, "end": 1148.91, "word": " If", "probability": 0.92529296875}, {"start": 1148.91, "end": 1149.57, "word": " the", "probability": 0.73388671875}, {"start": 1149.57, "end": 1149.87, "word": " light", "probability": 0.55859375}, {"start": 1149.87, "end": 1150.41, "word": " did", "probability": 0.439208984375}, {"start": 1150.41, "end": 1150.49, "word": " not", "probability": 0.9423828125}, {"start": 1150.49, "end": 1150.85, "word": " hit", "probability": 0.313232421875}, {"start": 1150.85, "end": 1151.25, "word": " the", "probability": 0.9111328125}, {"start": 1151.25, "end": 1151.65, "word": " lens,", "probability": 0.90283203125}, {"start": 1152.17, "end": 1152.33, "word": " it", "probability": 0.82421875}, {"start": 1152.33, "end": 1152.43, "word": " was", "probability": 0.41796875}, {"start": 1152.43, "end": 1152.73, "word": " supposed", "probability": 0.91796875}, {"start": 1152.73, "end": 1152.91, "word": " to", "probability": 0.9697265625}, {"start": 1152.91, "end": 1153.35, "word": " continue", "probability": 0.60546875}, {"start": 1153.35, "end": 1153.69, "word": " its", "probability": 0.290283203125}, {"start": 1153.69, "end": 1154.21, "word": " way", "probability": 0.5634765625}, {"start": 1154.21, "end": 1154.37, "word": " in", "probability": 0.37939453125}, {"start": 1154.37, "end": 1154.47, "word": " this", "probability": 0.91015625}, {"start": 1154.47, "end": 1156.09, "word": " way.", "probability": 0.91943359375}, {"start": 1158.31, "end": 1158.91, "word": " These", "probability": 0.415283203125}, {"start": 1158.91, "end": 1158.97, "word": " are", "probability": 0.8740234375}, {"start": 1158.97, "end": 1159.15, "word": " the", "probability": 0.60205078125}, {"start": 1159.15, "end": 1159.79, "word": " yellow", "probability": 0.8955078125}, {"start": 1159.79, "end": 1159.79, "word": " rays", "probability": 0.47119140625}, {"start": 1159.79, "end": 1160.11, "word": " that", "probability": 0.89013671875}, {"start": 1160.11, "end": 1160.45, "word": " entered", "probability": 0.779296875}, {"start": 1160.45, "end": 1161.05, "word": " the", "probability": 0.912109375}, {"start": 1161.05, "end": 1161.05, "word": " lens.", "probability": 0.9248046875}, {"start": 1161.63, "end": 1162.05, "word": " Imagine", "probability": 0.433349609375}, {"start": 1162.05, "end": 1162.19, "word": " that", "probability": 0.65380859375}, {"start": 1162.19, "end": 1162.29, "word": " the", "probability": 0.87841796875}, {"start": 1162.29, "end": 1162.49, "word": " lens", "probability": 0.931640625}, {"start": 1162.49, "end": 1162.65, "word": " is", "probability": 0.6572265625}, {"start": 1162.65, "end": 1162.73, "word": " not", "probability": 0.89453125}, {"start": 1162.73, "end": 1163.25, "word": " present", "probability": 0.55029296875}], "temperature": 1.0}, {"id": 49, "seek": 118823, "start": 1165.37, "end": 1188.23, "text": "The rays will be more scattered, but the presence of the lens makes them approach each other in a less scattered way. The yellow rays became a path after entering the lens, and here too, the yellow rays", "tokens": [2278, 24417, 486, 312, 544, 21986, 11, 457, 264, 6814, 295, 264, 6765, 1669, 552, 3109, 1184, 661, 294, 257, 1570, 21986, 636, 13, 440, 5566, 24417, 3062, 257, 3100, 934, 11104, 264, 6765, 11, 293, 510, 886, 11, 264, 5566, 24417], "avg_logprob": -0.618459330048672, "compression_ratio": 1.5303030303030303, "no_speech_prob": 3.516674041748047e-06, "words": [{"start": 1165.37, "end": 1165.89, "word": "The", "probability": 0.074462890625}, {"start": 1165.89, "end": 1166.27, "word": " rays", "probability": 0.42041015625}, {"start": 1166.27, "end": 1166.47, "word": " will", "probability": 0.6591796875}, {"start": 1166.47, "end": 1166.47, "word": " be", "probability": 0.63916015625}, {"start": 1166.47, "end": 1166.93, "word": " more", "probability": 0.833984375}, {"start": 1166.93, "end": 1167.43, "word": " scattered,", "probability": 0.06365966796875}, {"start": 1167.83, "end": 1168.25, "word": " but", "probability": 0.8115234375}, {"start": 1168.25, "end": 1168.55, "word": " the", "probability": 0.68359375}, {"start": 1168.55, "end": 1168.55, "word": " presence", "probability": 0.84521484375}, {"start": 1168.55, "end": 1168.67, "word": " of", "probability": 0.970703125}, {"start": 1168.67, "end": 1168.75, "word": " the", "probability": 0.7138671875}, {"start": 1168.75, "end": 1169.07, "word": " lens", "probability": 0.77685546875}, {"start": 1169.07, "end": 1170.65, "word": " makes", "probability": 0.338134765625}, {"start": 1170.65, "end": 1170.87, "word": " them", "probability": 0.41552734375}, {"start": 1170.87, "end": 1171.33, "word": " approach", "probability": 0.468017578125}, {"start": 1171.33, "end": 1172.07, "word": " each", "probability": 0.85498046875}, {"start": 1172.07, "end": 1172.27, "word": " other", "probability": 0.89990234375}, {"start": 1172.27, "end": 1173.29, "word": " in", "probability": 0.474853515625}, {"start": 1173.29, "end": 1173.53, "word": " a", "probability": 0.650390625}, {"start": 1173.53, "end": 1176.93, "word": " less", "probability": 0.52783203125}, {"start": 1176.93, "end": 1177.49, "word": " scattered", "probability": 0.75}, {"start": 1177.49, "end": 1177.67, "word": " way.", "probability": 0.47998046875}, {"start": 1179.33, "end": 1180.23, "word": " The", "probability": 0.427734375}, {"start": 1180.23, "end": 1180.91, "word": " yellow", "probability": 0.8154296875}, {"start": 1180.91, "end": 1180.91, "word": " rays", "probability": 0.599609375}, {"start": 1180.91, "end": 1181.61, "word": " became", "probability": 0.6025390625}, {"start": 1181.61, "end": 1181.91, "word": " a", "probability": 0.2371826171875}, {"start": 1181.91, "end": 1182.21, "word": " path", "probability": 0.50732421875}, {"start": 1182.21, "end": 1182.71, "word": " after", "probability": 0.4873046875}, {"start": 1182.71, "end": 1183.15, "word": " entering", "probability": 0.70947265625}, {"start": 1183.15, "end": 1183.27, "word": " the", "probability": 0.88916015625}, {"start": 1183.27, "end": 1183.55, "word": " lens,", "probability": 0.888671875}, {"start": 1184.33, "end": 1184.45, "word": " and", "probability": 0.87353515625}, {"start": 1184.45, "end": 1184.65, "word": " here", "probability": 0.740234375}, {"start": 1184.65, "end": 1185.19, "word": " too,", "probability": 0.323974609375}, {"start": 1187.15, "end": 1187.61, "word": " the", "probability": 0.83544921875}, {"start": 1187.61, "end": 1188.23, "word": " yellow", "probability": 0.8046875}, {"start": 1188.23, "end": 1188.23, "word": " rays", "probability": 0.89599609375}], "temperature": 1.0}, {"id": 50, "seek": 121896, "start": 1189.6, "end": 1218.96, "text": "Zahika means that the two red rays approached each other. After entering the lens, they entered as rays, colored it yellow, then colored it blue, then colored it red, to clarify the three areas in which the rays occur. First in the air, then in the glass, then in the air again. These are the same rays. But if we imagine that the lens does not exist, the rays continued their way straight.", "tokens": [57, 545, 5439, 1355, 300, 264, 732, 2182, 24417, 2075, 15095, 1184, 661, 13, 2381, 11104, 264, 6765, 11, 436, 9065, 382, 24417, 11, 14332, 309, 5566, 11, 550, 14332, 309, 3344, 11, 550, 14332, 309, 2182, 11, 281, 17594, 264, 1045, 3179, 294, 597, 264, 24417, 5160, 13, 2386, 294, 264, 1988, 11, 550, 294, 264, 4276, 11, 550, 294, 264, 1988, 797, 13, 1981, 366, 264, 912, 24417, 13, 583, 498, 321, 3811, 300, 264, 6765, 775, 406, 2514, 11, 264, 24417, 7014, 641, 636, 2997, 13], "avg_logprob": -0.45277778771188526, "compression_ratio": 1.7727272727272727, "no_speech_prob": 0.8935546875, "words": [{"start": 1189.6, "end": 1190.24, "word": "Zahika", "probability": 0.42755126953125}, {"start": 1190.24, "end": 1190.68, "word": " means", "probability": 0.46923828125}, {"start": 1190.68, "end": 1191.18, "word": " that", "probability": 0.4736328125}, {"start": 1191.18, "end": 1191.84, "word": " the", "probability": 0.448486328125}, {"start": 1191.84, "end": 1192.34, "word": " two", "probability": 0.53369140625}, {"start": 1192.34, "end": 1192.7, "word": " red", "probability": 0.708984375}, {"start": 1192.7, "end": 1192.7, "word": " rays", "probability": 0.30712890625}, {"start": 1192.7, "end": 1192.7, "word": " approached", "probability": 0.54638671875}, {"start": 1192.7, "end": 1193.2, "word": " each", "probability": 0.830078125}, {"start": 1193.2, "end": 1193.3, "word": " other.", "probability": 0.88916015625}, {"start": 1193.96, "end": 1194.6, "word": " After", "probability": 0.328125}, {"start": 1194.6, "end": 1195.12, "word": " entering", "probability": 0.50244140625}, {"start": 1195.12, "end": 1195.24, "word": " the", "probability": 0.83251953125}, {"start": 1195.24, "end": 1195.5, "word": " lens,", "probability": 0.67919921875}, {"start": 1195.66, "end": 1195.68, "word": " they", "probability": 0.68310546875}, {"start": 1195.68, "end": 1195.94, "word": " entered", "probability": 0.6142578125}, {"start": 1195.94, "end": 1196.14, "word": " as", "probability": 0.63720703125}, {"start": 1196.14, "end": 1196.64, "word": " rays,", "probability": 0.53271484375}, {"start": 1196.88, "end": 1197.4, "word": " colored", "probability": 0.37255859375}, {"start": 1197.4, "end": 1197.68, "word": " it", "probability": 0.4150390625}, {"start": 1197.68, "end": 1198.3, "word": " yellow,", "probability": 0.489501953125}, {"start": 1198.74, "end": 1199.16, "word": " then", "probability": 0.7841796875}, {"start": 1199.16, "end": 1199.42, "word": " colored", "probability": 0.77587890625}, {"start": 1199.42, "end": 1199.7, "word": " it", "probability": 0.90087890625}, {"start": 1199.7, "end": 1200.24, "word": " blue,", "probability": 0.96142578125}, {"start": 1200.52, "end": 1200.68, "word": " then", "probability": 0.77783203125}, {"start": 1200.68, "end": 1200.92, "word": " colored", "probability": 0.78125}, {"start": 1200.92, "end": 1201.2, "word": " it", "probability": 0.92138671875}, {"start": 1201.2, "end": 1201.62, "word": " red,", "probability": 0.94970703125}, {"start": 1201.72, "end": 1202.04, "word": " to", "probability": 0.771484375}, {"start": 1202.04, "end": 1202.84, "word": " clarify", "probability": 0.432861328125}, {"start": 1202.84, "end": 1203.34, "word": " the", "probability": 0.90283203125}, {"start": 1203.34, "end": 1203.74, "word": " three", "probability": 0.93505859375}, {"start": 1203.74, "end": 1204.3, "word": " areas", "probability": 0.60986328125}, {"start": 1204.3, "end": 1204.54, "word": " in", "probability": 0.271484375}, {"start": 1204.54, "end": 1205.2, "word": " which", "probability": 0.92724609375}, {"start": 1205.2, "end": 1205.26, "word": " the", "probability": 0.7919921875}, {"start": 1205.26, "end": 1205.48, "word": " rays", "probability": 0.6259765625}, {"start": 1205.48, "end": 1205.48, "word": " occur.", "probability": 0.10284423828125}, {"start": 1205.5, "end": 1205.76, "word": " First", "probability": 0.360107421875}, {"start": 1205.76, "end": 1205.88, "word": " in", "probability": 0.6396484375}, {"start": 1205.88, "end": 1205.98, "word": " the", "probability": 0.75634765625}, {"start": 1205.98, "end": 1206.16, "word": " air,", "probability": 0.826171875}, {"start": 1206.26, "end": 1206.58, "word": " then", "probability": 0.8544921875}, {"start": 1206.58, "end": 1206.76, "word": " in", "probability": 0.91796875}, {"start": 1206.76, "end": 1206.82, "word": " the", "probability": 0.52294921875}, {"start": 1206.82, "end": 1207.08, "word": " glass,", "probability": 0.91015625}, {"start": 1207.32, "end": 1207.66, "word": " then", "probability": 0.74853515625}, {"start": 1207.66, "end": 1208.42, "word": " in", "probability": 0.79833984375}, {"start": 1208.42, "end": 1208.78, "word": " the", "probability": 0.86865234375}, {"start": 1208.78, "end": 1208.98, "word": " air", "probability": 0.9091796875}, {"start": 1208.98, "end": 1209.5, "word": " again.", "probability": 0.935546875}, {"start": 1209.74, "end": 1210.06, "word": " These", "probability": 0.75927734375}, {"start": 1210.06, "end": 1210.52, "word": " are", "probability": 0.9111328125}, {"start": 1210.52, "end": 1210.74, "word": " the", "probability": 0.90283203125}, {"start": 1210.74, "end": 1210.92, "word": " same", "probability": 0.88720703125}, {"start": 1210.92, "end": 1211.34, "word": " rays.", "probability": 0.59326171875}, {"start": 1211.72, "end": 1212.2, "word": " But", "probability": 0.9111328125}, {"start": 1212.2, "end": 1212.4, "word": " if", "probability": 0.89111328125}, {"start": 1212.4, "end": 1212.52, "word": " we", "probability": 0.9609375}, {"start": 1212.52, "end": 1212.92, "word": " imagine", "probability": 0.7236328125}, {"start": 1212.92, "end": 1213.14, "word": " that", "probability": 0.9189453125}, {"start": 1213.14, "end": 1213.24, "word": " the", "probability": 0.900390625}, {"start": 1213.24, "end": 1213.48, "word": " lens", "probability": 0.83837890625}, {"start": 1213.48, "end": 1213.92, "word": " does", "probability": 0.31396484375}, {"start": 1213.92, "end": 1213.96, "word": " not", "probability": 0.94189453125}, {"start": 1213.96, "end": 1214.38, "word": " exist,", "probability": 0.96533203125}, {"start": 1214.82, "end": 1215.44, "word": " the", "probability": 0.7216796875}, {"start": 1215.44, "end": 1215.98, "word": " rays", "probability": 0.951171875}, {"start": 1215.98, "end": 1216.78, "word": " continued", "probability": 0.42919921875}, {"start": 1216.78, "end": 1216.94, "word": " their", "probability": 0.71435546875}, {"start": 1216.94, "end": 1217.8, "word": " way", "probability": 0.5322265625}, {"start": 1217.8, "end": 1218.96, "word": " straight.", "probability": 0.29345703125}], "temperature": 1.0}, {"id": 51, "seek": 124582, "start": 1219.38, "end": 1245.82, "text": "Okay, what did the lens do? It changed the fluctuation of the rays from very fluctuated to less fluctuated. The rays are still divergent. Why divergent after leaving the lens? Well, we expected them to be convergent, because the power of the lens is less than the amount of fluctuation it produced. The purchasing power or the receipt, the receipt that I own", "tokens": [8297, 11, 437, 630, 264, 6765, 360, 30, 467, 3105, 264, 23448, 16073, 295, 264, 24417, 490, 588, 23448, 27275, 281, 1570, 23448, 27275, 13, 440, 24417, 366, 920, 18558, 6930, 13, 1545, 18558, 6930, 934, 5012, 264, 6765, 30, 1042, 11, 321, 5176, 552, 281, 312, 9652, 6930, 11, 570, 264, 1347, 295, 264, 6765, 307, 1570, 813, 264, 2372, 295, 23448, 16073, 309, 7126, 13, 440, 20906, 1347, 420, 264, 33882, 11, 264, 33882, 300, 286, 1065], "avg_logprob": -0.43203125, "compression_ratio": 1.7722772277227723, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 1219.38, "end": 1219.64, "word": "Okay,", "probability": 0.583984375}, {"start": 1219.72, "end": 1219.92, "word": " what", "probability": 0.80224609375}, {"start": 1219.92, "end": 1219.96, "word": " did", "probability": 0.56640625}, {"start": 1219.96, "end": 1220.28, "word": " the", "probability": 0.798828125}, {"start": 1220.28, "end": 1220.28, "word": " lens", "probability": 0.27880859375}, {"start": 1220.28, "end": 1220.48, "word": " do?", "probability": 0.5927734375}, {"start": 1220.74, "end": 1220.78, "word": " It", "probability": 0.669921875}, {"start": 1220.78, "end": 1221.16, "word": " changed", "probability": 0.91064453125}, {"start": 1221.16, "end": 1221.36, "word": " the", "probability": 0.83837890625}, {"start": 1221.36, "end": 1222.24, "word": " fluctuation", "probability": 0.4315338134765625}, {"start": 1222.24, "end": 1222.48, "word": " of", "probability": 0.5537109375}, {"start": 1222.48, "end": 1222.78, "word": " the", "probability": 0.71728515625}, {"start": 1222.78, "end": 1223.18, "word": " rays", "probability": 0.576171875}, {"start": 1223.18, "end": 1223.72, "word": " from", "probability": 0.63720703125}, {"start": 1223.72, "end": 1223.92, "word": " very", "probability": 0.61865234375}, {"start": 1223.92, "end": 1224.56, "word": " fluctuated", "probability": 0.619873046875}, {"start": 1224.56, "end": 1225.18, "word": " to", "probability": 0.94775390625}, {"start": 1225.18, "end": 1225.68, "word": " less", "probability": 0.74609375}, {"start": 1225.68, "end": 1226.56, "word": " fluctuated.", "probability": 0.84912109375}, {"start": 1227.12, "end": 1227.68, "word": " The", "probability": 0.80322265625}, {"start": 1227.68, "end": 1228.16, "word": " rays", "probability": 0.876953125}, {"start": 1228.16, "end": 1228.28, "word": " are", "probability": 0.5869140625}, {"start": 1228.28, "end": 1228.28, "word": " still", "probability": 0.966796875}, {"start": 1228.28, "end": 1228.98, "word": " divergent.", "probability": 0.929931640625}, {"start": 1229.06, "end": 1229.24, "word": " Why", "probability": 0.8505859375}, {"start": 1229.24, "end": 1230.06, "word": " divergent", "probability": 0.846435546875}, {"start": 1230.06, "end": 1230.7, "word": " after", "probability": 0.471435546875}, {"start": 1230.7, "end": 1231.14, "word": " leaving", "probability": 0.4169921875}, {"start": 1231.14, "end": 1231.42, "word": " the", "probability": 0.91748046875}, {"start": 1231.42, "end": 1231.66, "word": " lens?", "probability": 0.91259765625}, {"start": 1231.8, "end": 1231.92, "word": " Well,", "probability": 0.52197265625}, {"start": 1232.0, "end": 1232.12, "word": " we", "probability": 0.94677734375}, {"start": 1232.12, "end": 1232.8, "word": " expected", "probability": 0.64697265625}, {"start": 1232.8, "end": 1233.06, "word": " them", "probability": 0.4716796875}, {"start": 1233.06, "end": 1233.18, "word": " to", "probability": 0.97021484375}, {"start": 1233.18, "end": 1233.36, "word": " be", "probability": 0.92431640625}, {"start": 1233.36, "end": 1234.1, "word": " convergent,", "probability": 0.947265625}, {"start": 1234.34, "end": 1234.74, "word": " because", "probability": 0.89501953125}, {"start": 1234.74, "end": 1234.96, "word": " the", "probability": 0.89208984375}, {"start": 1234.96, "end": 1235.22, "word": " power", "probability": 0.1884765625}, {"start": 1235.22, "end": 1235.4, "word": " of", "probability": 0.970703125}, {"start": 1235.4, "end": 1235.58, "word": " the", "probability": 0.91162109375}, {"start": 1235.58, "end": 1235.9, "word": " lens", "probability": 0.88623046875}, {"start": 1235.9, "end": 1236.66, "word": " is", "probability": 0.84521484375}, {"start": 1236.66, "end": 1237.06, "word": " less", "probability": 0.9072265625}, {"start": 1237.06, "end": 1237.32, "word": " than", "probability": 0.93701171875}, {"start": 1237.32, "end": 1237.52, "word": " the", "probability": 0.900390625}, {"start": 1237.52, "end": 1237.72, "word": " amount", "probability": 0.78076171875}, {"start": 1237.72, "end": 1237.98, "word": " of", "probability": 0.962890625}, {"start": 1237.98, "end": 1238.54, "word": " fluctuation", "probability": 0.765625}, {"start": 1238.54, "end": 1238.82, "word": " it", "probability": 0.521484375}, {"start": 1238.82, "end": 1239.22, "word": " produced.", "probability": 0.38134765625}, {"start": 1239.82, "end": 1239.94, "word": " The", "probability": 0.76220703125}, {"start": 1239.94, "end": 1240.62, "word": " purchasing", "probability": 0.5126953125}, {"start": 1240.62, "end": 1241.4, "word": " power", "probability": 0.83935546875}, {"start": 1241.4, "end": 1241.82, "word": " or", "probability": 0.81103515625}, {"start": 1241.82, "end": 1242.52, "word": " the", "probability": 0.33447265625}, {"start": 1242.52, "end": 1242.92, "word": " receipt,", "probability": 0.09197998046875}, {"start": 1243.16, "end": 1243.34, "word": " the", "probability": 0.69921875}, {"start": 1243.34, "end": 1243.84, "word": " receipt", "probability": 0.75048828125}, {"start": 1243.84, "end": 1245.36, "word": " that", "probability": 0.66796875}, {"start": 1245.36, "end": 1245.52, "word": " I", "probability": 0.9912109375}, {"start": 1245.52, "end": 1245.82, "word": " own", "probability": 0.6435546875}], "temperature": 1.0}, {"id": 52, "seek": 125282, "start": 1249.24, "end": 1252.82, "text": "الرصيد اللي أملكه أنا أقل من الدين", "tokens": [6027, 2288, 9381, 25708, 13672, 1829, 5551, 2304, 23275, 3224, 41850, 5551, 4587, 1211, 9154, 32748, 9957], "avg_logprob": -0.2001953116721577, "compression_ratio": 1.0333333333333334, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1249.24, "end": 1249.86, "word": "الرصيد", "probability": 0.77960205078125}, {"start": 1249.86, "end": 1250.06, "word": " اللي", "probability": 0.85888671875}, {"start": 1250.06, "end": 1250.54, "word": " أملكه", "probability": 0.7794189453125}, {"start": 1250.54, "end": 1250.8, "word": " أنا", "probability": 0.86279296875}, {"start": 1250.8, "end": 1252.08, "word": " أقل", "probability": 0.9065755208333334}, {"start": 1252.08, "end": 1252.3, "word": " من", "probability": 0.99267578125}, {"start": 1252.3, "end": 1252.82, "word": " الدين", "probability": 0.953857421875}], "temperature": 1.0}, {"id": 53, "seek": 128091, "start": 1253.27, "end": 1280.91, "text": "What's wrong with me and my brother? It's true that I still have debt, but less than the first debt. The first debt was twenty-five dinars, the debt after I paid part of it remained five dinars of debt. The rays are divergent by twenty diopters, which means minus twenty diopters, minus means divergent, divergent. Now, after the lens left, how much divergence remained, we say that the rays", "tokens": [3748, 311, 2085, 365, 385, 293, 452, 3708, 30, 467, 311, 2074, 300, 286, 920, 362, 7831, 11, 457, 1570, 813, 264, 700, 7831, 13, 440, 700, 7831, 390, 7699, 12, 18621, 3791, 685, 11, 264, 7831, 934, 286, 4835, 644, 295, 309, 12780, 1732, 3791, 685, 295, 7831, 13, 440, 24417, 366, 18558, 6930, 538, 7699, 1026, 404, 1559, 11, 597, 1355, 3175, 7699, 1026, 404, 1559, 11, 3175, 1355, 18558, 6930, 11, 18558, 6930, 13, 823, 11, 934, 264, 6765, 1411, 11, 577, 709, 47387, 12780, 11, 321, 584, 300, 264, 24417], "avg_logprob": -0.4769736973862899, "compression_ratio": 1.8018433179723503, "no_speech_prob": 0.0, "words": [{"start": 1253.27, "end": 1253.79, "word": "What's", "probability": 0.19598388671875}, {"start": 1253.79, "end": 1253.85, "word": " wrong", "probability": 0.482421875}, {"start": 1253.85, "end": 1254.15, "word": " with", "probability": 0.64501953125}, {"start": 1254.15, "end": 1254.41, "word": " me", "probability": 0.1324462890625}, {"start": 1254.41, "end": 1254.59, "word": " and", "probability": 0.7294921875}, {"start": 1254.59, "end": 1254.65, "word": " my", "probability": 0.9658203125}, {"start": 1254.65, "end": 1254.95, "word": " brother?", "probability": 0.75244140625}, {"start": 1255.75, "end": 1255.93, "word": " It's", "probability": 0.5762939453125}, {"start": 1255.93, "end": 1256.13, "word": " true", "probability": 0.82373046875}, {"start": 1256.13, "end": 1256.29, "word": " that", "probability": 0.53857421875}, {"start": 1256.29, "end": 1256.49, "word": " I", "probability": 0.9033203125}, {"start": 1256.49, "end": 1256.49, "word": " still", "probability": 0.63330078125}, {"start": 1256.49, "end": 1256.77, "word": " have", "probability": 0.748046875}, {"start": 1256.77, "end": 1257.03, "word": " debt,", "probability": 0.44140625}, {"start": 1257.15, "end": 1257.33, "word": " but", "probability": 0.888671875}, {"start": 1257.33, "end": 1257.85, "word": " less", "probability": 0.7412109375}, {"start": 1257.85, "end": 1258.39, "word": " than", "probability": 0.93017578125}, {"start": 1258.39, "end": 1258.55, "word": " the", "probability": 0.73095703125}, {"start": 1258.55, "end": 1259.03, "word": " first", "probability": 0.81494140625}, {"start": 1259.03, "end": 1259.03, "word": " debt.", "probability": 0.74853515625}, {"start": 1259.15, "end": 1259.27, "word": " The", "probability": 0.84619140625}, {"start": 1259.27, "end": 1259.63, "word": " first", "probability": 0.861328125}, {"start": 1259.63, "end": 1259.63, "word": " debt", "probability": 0.9013671875}, {"start": 1259.63, "end": 1259.89, "word": " was", "probability": 0.91455078125}, {"start": 1259.89, "end": 1260.47, "word": " twenty", "probability": 0.42138671875}, {"start": 1260.47, "end": 1260.69, "word": "-five", "probability": 0.810791015625}, {"start": 1260.69, "end": 1261.17, "word": " dinars,", "probability": 0.855712890625}, {"start": 1261.71, "end": 1261.89, "word": " the", "probability": 0.314453125}, {"start": 1261.89, "end": 1262.11, "word": " debt", "probability": 0.818359375}, {"start": 1262.11, "end": 1262.43, "word": " after", "probability": 0.6396484375}, {"start": 1262.43, "end": 1262.75, "word": " I", "probability": 0.88623046875}, {"start": 1262.75, "end": 1263.07, "word": " paid", "probability": 0.69384765625}, {"start": 1263.07, "end": 1263.37, "word": " part", "probability": 0.478271484375}, {"start": 1263.37, "end": 1263.57, "word": " of", "probability": 0.9716796875}, {"start": 1263.57, "end": 1263.85, "word": " it", "probability": 0.935546875}, {"start": 1263.85, "end": 1265.07, "word": " remained", "probability": 0.3427734375}, {"start": 1265.07, "end": 1265.45, "word": " five", "probability": 0.75341796875}, {"start": 1265.45, "end": 1265.95, "word": " dinars", "probability": 0.6138916015625}, {"start": 1265.95, "end": 1266.11, "word": " of", "probability": 0.499755859375}, {"start": 1266.11, "end": 1266.29, "word": " debt.", "probability": 0.90283203125}, {"start": 1266.73, "end": 1266.77, "word": " The", "probability": 0.35009765625}, {"start": 1266.77, "end": 1267.11, "word": " rays", "probability": 0.1529541015625}, {"start": 1267.11, "end": 1267.35, "word": " are", "probability": 0.2491455078125}, {"start": 1267.35, "end": 1267.97, "word": " divergent", "probability": 0.51568603515625}, {"start": 1267.97, "end": 1268.47, "word": " by", "probability": 0.364013671875}, {"start": 1268.47, "end": 1269.89, "word": " twenty", "probability": 0.6865234375}, {"start": 1269.89, "end": 1270.57, "word": " diopters,", "probability": 0.8317057291666666}, {"start": 1270.63, "end": 1270.73, "word": " which", "probability": 0.1864013671875}, {"start": 1270.73, "end": 1270.77, "word": " means", "probability": 0.62548828125}, {"start": 1270.77, "end": 1271.03, "word": " minus", "probability": 0.720703125}, {"start": 1271.03, "end": 1271.43, "word": " twenty", "probability": 0.814453125}, {"start": 1271.43, "end": 1271.83, "word": " diopters,", "probability": 0.8564453125}, {"start": 1271.93, "end": 1272.17, "word": " minus", "probability": 0.76318359375}, {"start": 1272.17, "end": 1272.43, "word": " means", "probability": 0.7822265625}, {"start": 1272.43, "end": 1273.17, "word": " divergent,", "probability": 0.845947265625}, {"start": 1273.29, "end": 1274.01, "word": " divergent.", "probability": 0.84326171875}, {"start": 1274.43, "end": 1274.81, "word": " Now,", "probability": 0.9267578125}, {"start": 1274.97, "end": 1275.35, "word": " after", "probability": 0.798828125}, {"start": 1275.35, "end": 1276.71, "word": " the", "probability": 0.66162109375}, {"start": 1276.71, "end": 1277.05, "word": " lens", "probability": 0.65771484375}, {"start": 1277.05, "end": 1277.05, "word": " left,", "probability": 0.398681640625}, {"start": 1277.49, "end": 1277.75, "word": " how", "probability": 0.8583984375}, {"start": 1277.75, "end": 1278.21, "word": " much", "probability": 0.8505859375}, {"start": 1278.21, "end": 1278.85, "word": " divergence", "probability": 0.7431640625}, {"start": 1278.85, "end": 1278.85, "word": " remained,", "probability": 0.54150390625}, {"start": 1279.03, "end": 1279.19, "word": " we", "probability": 0.84521484375}, {"start": 1279.19, "end": 1279.47, "word": " say", "probability": 0.87646484375}, {"start": 1279.47, "end": 1280.09, "word": " that", "probability": 0.474365234375}, {"start": 1280.09, "end": 1280.47, "word": " the", "probability": 0.8828125}, {"start": 1280.47, "end": 1280.91, "word": " rays", "probability": 0.91259765625}], "temperature": 1.0}, {"id": 54, "seek": 130780, "start": 1281.76, "end": 1307.8, "text": "Ijt mutashattita bimقدار اللي هو طبعا U زائد P طبعا يساوي V اللي هو ال virgins عند السطح الخلفي للعدسة V ال image virgins ال reduced image virgins minus 20 ده يبتر زائد ال power plus plus 10 ده يبتر", "tokens": [40, 73, 83, 5839, 1299, 1591, 2786, 272, 332, 28543, 9640, 13672, 1829, 31439, 23032, 3555, 3615, 995, 624, 30767, 16373, 3215, 430, 23032, 3555, 3615, 995, 7251, 3794, 995, 45865, 691, 13672, 1829, 31439, 2423, 4107, 23320, 43242, 21136, 9566, 5016, 33962, 1211, 41185, 24976, 22488, 3794, 3660, 691, 2423, 3256, 4107, 23320, 2423, 9212, 3256, 4107, 23320, 3175, 945, 11778, 3224, 7251, 3555, 2655, 2288, 30767, 16373, 3215, 2423, 1347, 1804, 1804, 1266, 11778, 3224, 7251, 3555, 2655, 2288], "avg_logprob": -0.3349847441039434, "compression_ratio": 1.5363128491620113, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1281.76, "end": 1282.16, "word": "Ijt", "probability": 0.35711669921875}, {"start": 1282.16, "end": 1283.12, "word": " mutashattita", "probability": 0.5294189453125}, {"start": 1283.12, "end": 1284.54, "word": " bimقدار", "probability": 0.505218505859375}, {"start": 1284.54, "end": 1284.84, "word": " اللي", "probability": 0.58447265625}, {"start": 1284.84, "end": 1284.98, "word": " هو", "probability": 0.9375}, {"start": 1284.98, "end": 1285.32, "word": " طبعا", "probability": 0.8201904296875}, {"start": 1285.32, "end": 1285.8, "word": " U", "probability": 0.3056640625}, {"start": 1285.8, "end": 1287.4, "word": " زائد", "probability": 0.565185546875}, {"start": 1287.4, "end": 1288.66, "word": " P", "probability": 0.90869140625}, {"start": 1288.66, "end": 1289.3, "word": " طبعا", "probability": 0.947998046875}, {"start": 1289.3, "end": 1289.86, "word": " يساوي", "probability": 0.955322265625}, {"start": 1289.86, "end": 1291.56, "word": " V", "probability": 0.9716796875}, {"start": 1291.56, "end": 1292.94, "word": " اللي", "probability": 0.874267578125}, {"start": 1292.94, "end": 1293.0, "word": " هو", "probability": 0.85400390625}, {"start": 1293.0, "end": 1293.14, "word": " ال", "probability": 0.95263671875}, {"start": 1293.14, "end": 1293.54, "word": " virgins", "probability": 0.38885498046875}, {"start": 1293.54, "end": 1293.82, "word": " عند", "probability": 0.9833984375}, {"start": 1293.82, "end": 1294.28, "word": " السطح", "probability": 0.8470052083333334}, {"start": 1294.28, "end": 1294.74, "word": " الخلفي", "probability": 0.7897135416666666}, {"start": 1294.74, "end": 1295.34, "word": " للعدسة", "probability": 0.8084716796875}, {"start": 1295.34, "end": 1295.48, "word": " V", "probability": 0.9013671875}, {"start": 1295.48, "end": 1295.86, "word": " ال", "probability": 0.572265625}, {"start": 1295.86, "end": 1296.16, "word": " image", "probability": 0.7685546875}, {"start": 1296.16, "end": 1296.66, "word": " virgins", "probability": 0.81982421875}, {"start": 1296.66, "end": 1296.86, "word": " ال", "probability": 0.485107421875}, {"start": 1296.86, "end": 1297.18, "word": " reduced", "probability": 0.86865234375}, {"start": 1297.18, "end": 1297.62, "word": " image", "probability": 0.93115234375}, {"start": 1297.62, "end": 1298.06, "word": " virgins", "probability": 0.920654296875}, {"start": 1298.06, "end": 1298.8, "word": " minus", "probability": 0.63818359375}, {"start": 1298.8, "end": 1299.42, "word": " 20", "probability": 0.61376953125}, {"start": 1299.42, "end": 1299.66, "word": " ده", "probability": 0.77490234375}, {"start": 1299.66, "end": 1300.2, "word": " يبتر", "probability": 0.832763671875}, {"start": 1300.2, "end": 1302.08, "word": " زائد", "probability": 0.9508463541666666}, {"start": 1302.08, "end": 1302.92, "word": " ال", "probability": 0.94482421875}, {"start": 1302.92, "end": 1303.3, "word": " power", "probability": 0.93603515625}, {"start": 1303.3, "end": 1304.1, "word": " plus", "probability": 0.958984375}, {"start": 1304.1, "end": 1305.12, "word": " plus", "probability": 0.64453125}, {"start": 1305.12, "end": 1305.52, "word": " 10", "probability": 0.5966796875}, {"start": 1305.52, "end": 1307.28, "word": " ده", "probability": 0.981689453125}, {"start": 1307.28, "end": 1307.8, "word": " يبتر", "probability": 0.9912109375}], "temperature": 1.0}, {"id": 55, "seek": 133179, "start": 1309.31, "end": 1331.79, "text": "I get the result which is V is equal to minus ten diopters What does all this mean? We say that the light reached a frequency of minus twenty and left also at a frequency of minus ten So decreasing the frequency, what does decreasing the frequency mean? Decreasing the divergence, that is, in the direction as if", "tokens": [40, 483, 264, 1874, 597, 307, 691, 307, 2681, 281, 3175, 2064, 1026, 404, 1559, 708, 775, 439, 341, 914, 30, 492, 584, 300, 264, 1442, 6488, 257, 7893, 295, 3175, 7699, 293, 1411, 611, 412, 257, 7893, 295, 3175, 2064, 407, 23223, 264, 7893, 11, 437, 775, 23223, 264, 7893, 914, 30, 12427, 265, 3349, 264, 47387, 11, 300, 307, 11, 294, 264, 3513, 382, 498], "avg_logprob": -0.5579044380608726, "compression_ratio": 1.7727272727272727, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1309.31, "end": 1309.51, "word": "I", "probability": 0.61767578125}, {"start": 1309.51, "end": 1309.93, "word": " get", "probability": 0.2034912109375}, {"start": 1309.93, "end": 1310.13, "word": " the", "probability": 0.458984375}, {"start": 1310.13, "end": 1310.39, "word": " result", "probability": 0.7958984375}, {"start": 1310.39, "end": 1310.61, "word": " which", "probability": 0.42626953125}, {"start": 1310.61, "end": 1310.77, "word": " is", "probability": 0.93701171875}, {"start": 1310.77, "end": 1311.07, "word": " V", "probability": 0.48193359375}, {"start": 1311.07, "end": 1311.53, "word": " is", "probability": 0.178955078125}, {"start": 1311.53, "end": 1311.81, "word": " equal", "probability": 0.83251953125}, {"start": 1311.81, "end": 1312.33, "word": " to", "probability": 0.94677734375}, {"start": 1312.33, "end": 1312.89, "word": " minus", "probability": 0.642578125}, {"start": 1312.89, "end": 1313.49, "word": " ten", "probability": 0.44677734375}, {"start": 1313.49, "end": 1314.27, "word": " diopters", "probability": 0.80615234375}, {"start": 1314.27, "end": 1315.55, "word": " What", "probability": 0.4873046875}, {"start": 1315.55, "end": 1315.85, "word": " does", "probability": 0.49658203125}, {"start": 1315.85, "end": 1316.11, "word": " all", "probability": 0.4833984375}, {"start": 1316.11, "end": 1316.27, "word": " this", "probability": 0.6083984375}, {"start": 1316.27, "end": 1316.55, "word": " mean?", "probability": 0.8505859375}, {"start": 1316.75, "end": 1316.93, "word": " We", "probability": 0.422119140625}, {"start": 1316.93, "end": 1317.21, "word": " say", "probability": 0.76416015625}, {"start": 1317.21, "end": 1317.55, "word": " that", "probability": 0.5498046875}, {"start": 1317.55, "end": 1317.67, "word": " the", "probability": 0.60693359375}, {"start": 1317.67, "end": 1317.93, "word": " light", "probability": 0.74853515625}, {"start": 1317.93, "end": 1318.29, "word": " reached", "probability": 0.44287109375}, {"start": 1318.29, "end": 1318.47, "word": " a", "probability": 0.51025390625}, {"start": 1318.47, "end": 1318.79, "word": " frequency", "probability": 0.2305908203125}, {"start": 1318.79, "end": 1318.99, "word": " of", "probability": 0.52734375}, {"start": 1318.99, "end": 1319.65, "word": " minus", "probability": 0.94921875}, {"start": 1319.65, "end": 1320.21, "word": " twenty", "probability": 0.7138671875}, {"start": 1320.21, "end": 1320.87, "word": " and", "probability": 0.429931640625}, {"start": 1320.87, "end": 1321.35, "word": " left", "probability": 0.47802734375}, {"start": 1321.35, "end": 1321.93, "word": " also", "probability": 0.4150390625}, {"start": 1321.93, "end": 1322.15, "word": " at", "probability": 0.51513671875}, {"start": 1322.15, "end": 1322.65, "word": " a", "probability": 0.7451171875}, {"start": 1322.65, "end": 1322.65, "word": " frequency", "probability": 0.95263671875}, {"start": 1322.65, "end": 1322.85, "word": " of", "probability": 0.59912109375}, {"start": 1322.85, "end": 1323.53, "word": " minus", "probability": 0.9541015625}, {"start": 1323.53, "end": 1324.03, "word": " ten", "probability": 0.93017578125}, {"start": 1324.03, "end": 1324.61, "word": " So", "probability": 0.404052734375}, {"start": 1324.61, "end": 1325.03, "word": " decreasing", "probability": 0.2386474609375}, {"start": 1325.03, "end": 1325.23, "word": " the", "probability": 0.48583984375}, {"start": 1325.23, "end": 1325.63, "word": " frequency,", "probability": 0.91455078125}, {"start": 1325.79, "end": 1325.93, "word": " what", "probability": 0.494873046875}, {"start": 1325.93, "end": 1326.09, "word": " does", "probability": 0.7744140625}, {"start": 1326.09, "end": 1326.35, "word": " decreasing", "probability": 0.384521484375}, {"start": 1326.35, "end": 1326.47, "word": " the", "probability": 0.53369140625}, {"start": 1326.47, "end": 1326.81, "word": " frequency", "probability": 0.97265625}, {"start": 1326.81, "end": 1326.95, "word": " mean?", "probability": 0.86279296875}, {"start": 1327.25, "end": 1327.69, "word": " Decreasing", "probability": 0.7936197916666666}, {"start": 1327.69, "end": 1327.87, "word": " the", "probability": 0.441162109375}, {"start": 1327.87, "end": 1328.49, "word": " divergence,", "probability": 0.98291015625}, {"start": 1330.05, "end": 1330.53, "word": " that", "probability": 0.162353515625}, {"start": 1330.53, "end": 1330.61, "word": " is,", "probability": 0.826171875}, {"start": 1330.63, "end": 1330.73, "word": " in", "probability": 0.386962890625}, {"start": 1330.73, "end": 1330.87, "word": " the", "probability": 0.396240234375}, {"start": 1330.87, "end": 1331.27, "word": " direction", "probability": 0.9462890625}, {"start": 1331.27, "end": 1331.51, "word": " as", "probability": 0.439453125}, {"start": 1331.51, "end": 1331.79, "word": " if", "probability": 0.90771484375}], "temperature": 1.0}, {"id": 56, "seek": 136004, "start": 1333.06, "end": 1360.04, "text": "began to make convergence. Of course, this single lens is not enough in this case to make convergence, or even enough to make parallel rays. All its power was exhausted. It cancelled what it could. The plus ten cancelled from minus twenty minus ten. I still have minus ten seconds. That is, the light will come out of the lens with a magnitude of minus ten diopter. In this case,", "tokens": [650, 1275, 281, 652, 32181, 13, 2720, 1164, 11, 341, 2167, 6765, 307, 406, 1547, 294, 341, 1389, 281, 652, 32181, 11, 420, 754, 1547, 281, 652, 8952, 24417, 13, 1057, 1080, 1347, 390, 17992, 13, 467, 25103, 437, 309, 727, 13, 440, 1804, 2064, 25103, 490, 3175, 7699, 3175, 2064, 13, 286, 920, 362, 3175, 2064, 3949, 13, 663, 307, 11, 264, 1442, 486, 808, 484, 295, 264, 6765, 365, 257, 15668, 295, 3175, 2064, 1026, 404, 391, 13, 682, 341, 1389, 11], "avg_logprob": -0.5433823417214786, "compression_ratio": 1.738532110091743, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 1333.06, "end": 1333.52, "word": "began", "probability": 0.4931793212890625}, {"start": 1333.52, "end": 1333.96, "word": " to", "probability": 0.822265625}, {"start": 1333.96, "end": 1333.96, "word": " make", "probability": 0.329833984375}, {"start": 1333.96, "end": 1334.56, "word": " convergence.", "probability": 0.72119140625}, {"start": 1334.88, "end": 1335.0, "word": " Of", "probability": 0.322021484375}, {"start": 1335.0, "end": 1335.16, "word": " course,", "probability": 0.94970703125}, {"start": 1335.52, "end": 1335.78, "word": " this", "probability": 0.44580078125}, {"start": 1335.78, "end": 1336.48, "word": " single", "probability": 0.443603515625}, {"start": 1336.48, "end": 1336.5, "word": " lens", "probability": 0.56396484375}, {"start": 1336.5, "end": 1336.74, "word": " is", "probability": 0.432373046875}, {"start": 1336.74, "end": 1336.94, "word": " not", "probability": 0.92529296875}, {"start": 1336.94, "end": 1337.34, "word": " enough", "probability": 0.7939453125}, {"start": 1337.34, "end": 1337.5, "word": " in", "probability": 0.392578125}, {"start": 1337.5, "end": 1337.82, "word": " this", "probability": 0.89599609375}, {"start": 1337.82, "end": 1338.1, "word": " case", "probability": 0.90478515625}, {"start": 1338.1, "end": 1338.28, "word": " to", "probability": 0.75146484375}, {"start": 1338.28, "end": 1338.68, "word": " make", "probability": 0.77490234375}, {"start": 1338.68, "end": 1339.74, "word": " convergence,", "probability": 0.93505859375}, {"start": 1340.0, "end": 1340.08, "word": " or", "probability": 0.187255859375}, {"start": 1340.08, "end": 1340.42, "word": " even", "probability": 0.71240234375}, {"start": 1340.42, "end": 1341.66, "word": " enough", "probability": 0.444580078125}, {"start": 1341.66, "end": 1341.84, "word": " to", "probability": 0.78662109375}, {"start": 1341.84, "end": 1342.22, "word": " make", "probability": 0.85888671875}, {"start": 1342.22, "end": 1343.06, "word": " parallel", "probability": 0.376220703125}, {"start": 1343.06, "end": 1343.06, "word": " rays.", "probability": 0.5576171875}, {"start": 1343.72, "end": 1343.8, "word": " All", "probability": 0.2418212890625}, {"start": 1343.8, "end": 1343.8, "word": " its", "probability": 0.423095703125}, {"start": 1343.8, "end": 1344.06, "word": " power", "probability": 0.486083984375}, {"start": 1344.06, "end": 1345.02, "word": " was", "probability": 0.46826171875}, {"start": 1345.02, "end": 1345.18, "word": " exhausted.", "probability": 0.315185546875}, {"start": 1346.16, "end": 1346.28, "word": " It", "probability": 0.366455078125}, {"start": 1346.28, "end": 1346.5, "word": " cancelled", "probability": 0.1937255859375}, {"start": 1346.5, "end": 1347.12, "word": " what", "probability": 0.479248046875}, {"start": 1347.12, "end": 1347.34, "word": " it", "probability": 0.654296875}, {"start": 1347.34, "end": 1347.82, "word": " could.", "probability": 0.6904296875}, {"start": 1348.1, "end": 1348.26, "word": " The", "probability": 0.62451171875}, {"start": 1348.26, "end": 1348.52, "word": " plus", "probability": 0.6484375}, {"start": 1348.52, "end": 1348.94, "word": " ten", "probability": 0.412841796875}, {"start": 1348.94, "end": 1349.66, "word": " cancelled", "probability": 0.59130859375}, {"start": 1349.66, "end": 1349.98, "word": " from", "probability": 0.48388671875}, {"start": 1349.98, "end": 1350.34, "word": " minus", "probability": 0.439208984375}, {"start": 1350.34, "end": 1350.82, "word": " twenty", "probability": 0.82421875}, {"start": 1350.82, "end": 1351.16, "word": " minus", "probability": 0.6279296875}, {"start": 1351.16, "end": 1351.62, "word": " ten.", "probability": 0.935546875}, {"start": 1351.74, "end": 1351.74, "word": " I", "probability": 0.84228515625}, {"start": 1351.74, "end": 1351.88, "word": " still", "probability": 0.62255859375}, {"start": 1351.88, "end": 1352.12, "word": " have", "probability": 0.82470703125}, {"start": 1352.12, "end": 1352.46, "word": " minus", "probability": 0.94189453125}, {"start": 1352.46, "end": 1352.84, "word": " ten", "probability": 0.93212890625}, {"start": 1352.84, "end": 1353.22, "word": " seconds.", "probability": 0.447021484375}, {"start": 1353.74, "end": 1354.06, "word": " That", "probability": 0.279541015625}, {"start": 1354.06, "end": 1354.08, "word": " is,", "probability": 0.7109375}, {"start": 1354.1, "end": 1354.24, "word": " the", "probability": 0.66552734375}, {"start": 1354.24, "end": 1354.4, "word": " light", "probability": 0.88134765625}, {"start": 1354.4, "end": 1354.64, "word": " will", "probability": 0.7744140625}, {"start": 1354.64, "end": 1354.88, "word": " come", "probability": 0.453125}, {"start": 1354.88, "end": 1354.96, "word": " out", "probability": 0.87548828125}, {"start": 1354.96, "end": 1355.1, "word": " of", "probability": 0.923828125}, {"start": 1355.1, "end": 1355.24, "word": " the", "probability": 0.91796875}, {"start": 1355.24, "end": 1355.56, "word": " lens", "probability": 0.81982421875}, {"start": 1355.56, "end": 1356.16, "word": " with", "probability": 0.438720703125}, {"start": 1356.16, "end": 1356.36, "word": " a", "probability": 0.54052734375}, {"start": 1356.36, "end": 1356.62, "word": " magnitude", "probability": 0.62451171875}, {"start": 1356.62, "end": 1357.14, "word": " of", "probability": 0.64501953125}, {"start": 1357.14, "end": 1357.58, "word": " minus", "probability": 0.97802734375}, {"start": 1357.58, "end": 1358.06, "word": " ten", "probability": 0.919921875}, {"start": 1358.06, "end": 1358.96, "word": " diopter.", "probability": 0.658203125}, {"start": 1359.04, "end": 1359.3, "word": " In", "probability": 0.92578125}, {"start": 1359.3, "end": 1359.66, "word": " this", "probability": 0.94384765625}, {"start": 1359.66, "end": 1360.04, "word": " case,", "probability": 0.9208984375}], "temperature": 1.0}, {"id": 57, "seek": 138047, "start": 1360.75, "end": 1380.47, "text": "في هذه الحالة لن تتكون صورة و لن يمكن أنه نطلق صورة على لوح التلقى و إنما الصورة هتكون صورة خيالية و موضوع الصورة الخيالية هنيجي في .. يعني وقته ان شاء الله تعالى، الآن كل الكلام هذا", "tokens": [41185, 29538, 21542, 6027, 3660, 5296, 1863, 6055, 2655, 30544, 20328, 13063, 3660, 4032, 5296, 1863, 7251, 43020, 14739, 3224, 8717, 9566, 1211, 4587, 20328, 13063, 3660, 15844, 45164, 5016, 16712, 1211, 4587, 7578, 4032, 36145, 15042, 31767, 13063, 3660, 8032, 2655, 30544, 20328, 13063, 3660, 16490, 1829, 6027, 10632, 4032, 3714, 2407, 11242, 45367, 31767, 13063, 3660, 33962, 1829, 6027, 10632, 8032, 22653, 7435, 1829, 8978, 4386, 37495, 22653, 4032, 38149, 3224, 16472, 13412, 16606, 21984, 37279, 6027, 7578, 12399, 6024, 48506, 28242, 2423, 28820, 10943, 23758], "avg_logprob": -0.15765448768487136, "compression_ratio": 1.8786127167630058, "no_speech_prob": 6.67572021484375e-06, "words": [{"start": 1360.75, "end": 1360.91, "word": "في", "probability": 0.1973876953125}, {"start": 1360.91, "end": 1361.11, "word": " هذه", "probability": 0.81005859375}, {"start": 1361.11, "end": 1361.59, "word": " الحالة", "probability": 0.9915364583333334}, {"start": 1361.59, "end": 1362.17, "word": " لن", "probability": 0.961181640625}, {"start": 1362.17, "end": 1362.77, "word": " تتكون", "probability": 0.9345703125}, {"start": 1362.77, "end": 1363.37, "word": " صورة", "probability": 0.9803059895833334}, {"start": 1363.37, "end": 1363.73, "word": " و", "probability": 0.5556640625}, {"start": 1363.73, "end": 1363.93, "word": " لن", "probability": 0.947021484375}, {"start": 1363.93, "end": 1364.35, "word": " يمكن", "probability": 0.984130859375}, {"start": 1364.35, "end": 1364.67, "word": " أنه", "probability": 0.635009765625}, {"start": 1364.67, "end": 1365.11, "word": " نطلق", "probability": 0.92138671875}, {"start": 1365.11, "end": 1365.65, "word": " صورة", "probability": 0.9734700520833334}, {"start": 1365.65, "end": 1366.05, "word": " على", "probability": 0.81982421875}, {"start": 1366.05, "end": 1367.37, "word": " لوح", "probability": 0.927978515625}, {"start": 1367.37, "end": 1368.07, "word": " التلقى", "probability": 0.7354736328125}, {"start": 1368.07, "end": 1368.53, "word": " و", "probability": 0.89306640625}, {"start": 1368.53, "end": 1369.17, "word": " إنما", "probability": 0.7042236328125}, {"start": 1369.17, "end": 1369.51, "word": " الصورة", "probability": 0.9728190104166666}, {"start": 1369.51, "end": 1369.95, "word": " هتكون", "probability": 0.919921875}, {"start": 1369.95, "end": 1370.35, "word": " صورة", "probability": 0.9913736979166666}, {"start": 1370.35, "end": 1370.97, "word": " خيالية", "probability": 0.9927978515625}, {"start": 1370.97, "end": 1371.41, "word": " و", "probability": 0.9638671875}, {"start": 1371.41, "end": 1371.75, "word": " موضوع", "probability": 0.9520263671875}, {"start": 1371.75, "end": 1372.11, "word": " الصورة", "probability": 0.9866536458333334}, {"start": 1372.11, "end": 1372.69, "word": " الخيالية", "probability": 0.989990234375}, {"start": 1372.69, "end": 1373.29, "word": " هنيجي", "probability": 0.8682861328125}, {"start": 1373.29, "end": 1373.85, "word": " في", "probability": 0.876953125}, {"start": 1373.85, "end": 1374.27, "word": " ..", "probability": 0.4619140625}, {"start": 1374.27, "end": 1375.61, "word": " يعني", "probability": 0.91650390625}, {"start": 1375.61, "end": 1376.89, "word": " وقته", "probability": 0.9573567708333334}, {"start": 1376.89, "end": 1377.29, "word": " ان", "probability": 0.56005859375}, {"start": 1377.29, "end": 1377.51, "word": " شاء", "probability": 0.95166015625}, {"start": 1377.51, "end": 1377.59, "word": " الله", "probability": 0.93603515625}, {"start": 1377.59, "end": 1378.37, "word": " تعالى،", "probability": 0.6925048828125}, {"start": 1378.37, "end": 1378.75, "word": " الآن", "probability": 0.646484375}, {"start": 1378.75, "end": 1379.67, "word": " كل", "probability": 0.9228515625}, {"start": 1379.67, "end": 1380.11, "word": " الكلام", "probability": 0.9239908854166666}, {"start": 1380.11, "end": 1380.47, "word": " هذا", "probability": 0.923828125}], "temperature": 1.0}, {"id": 58, "seek": 141045, "start": 1381.15, "end": 1410.45, "text": "All these words that we talked about from the beginning of the lecture to now To say that the power of the lens that has two surfaces, the lenses that we use in our lives The lens of the glasses, the lens of the adhesive lens, etc. It is not a condition that its power and capacity are distributed Its power is its ability to change the course of events through the laws of friction, Snell's law", "tokens": [7868, 613, 2283, 300, 321, 2825, 466, 490, 264, 2863, 295, 264, 7991, 281, 586, 1407, 584, 300, 264, 1347, 295, 264, 6765, 300, 575, 732, 16130, 11, 264, 18059, 300, 321, 764, 294, 527, 2909, 440, 6765, 295, 264, 10812, 11, 264, 6765, 295, 264, 25485, 6765, 11, 5183, 13, 467, 307, 406, 257, 4188, 300, 1080, 1347, 293, 6042, 366, 12631, 6953, 1347, 307, 1080, 3485, 281, 1319, 264, 1164, 295, 3931, 807, 264, 6064, 295, 17710, 11, 318, 8903, 311, 2101], "avg_logprob": -0.5602941008175121, "compression_ratio": 1.747787610619469, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1381.15, "end": 1381.47, "word": "All", "probability": 0.61865234375}, {"start": 1381.47, "end": 1381.63, "word": " these", "probability": 0.3232421875}, {"start": 1381.63, "end": 1381.91, "word": " words", "probability": 0.41552734375}, {"start": 1381.91, "end": 1382.31, "word": " that", "probability": 0.52734375}, {"start": 1382.31, "end": 1382.39, "word": " we", "probability": 0.7939453125}, {"start": 1382.39, "end": 1382.53, "word": " talked", "probability": 0.1622314453125}, {"start": 1382.53, "end": 1382.73, "word": " about", "probability": 0.83154296875}, {"start": 1382.73, "end": 1382.85, "word": " from", "probability": 0.51953125}, {"start": 1382.85, "end": 1383.05, "word": " the", "probability": 0.7998046875}, {"start": 1383.05, "end": 1383.15, "word": " beginning", "probability": 0.5283203125}, {"start": 1383.15, "end": 1383.25, "word": " of", "probability": 0.84130859375}, {"start": 1383.25, "end": 1383.35, "word": " the", "probability": 0.583984375}, {"start": 1383.35, "end": 1383.73, "word": " lecture", "probability": 0.8232421875}, {"start": 1383.73, "end": 1383.93, "word": " to", "probability": 0.345458984375}, {"start": 1383.93, "end": 1384.31, "word": " now", "probability": 0.68798828125}, {"start": 1384.31, "end": 1384.87, "word": " To", "probability": 0.257568359375}, {"start": 1384.87, "end": 1385.39, "word": " say", "probability": 0.830078125}, {"start": 1385.39, "end": 1385.85, "word": " that", "probability": 0.9345703125}, {"start": 1385.85, "end": 1385.95, "word": " the", "probability": 0.84423828125}, {"start": 1385.95, "end": 1386.17, "word": " power", "probability": 0.349365234375}, {"start": 1386.17, "end": 1386.37, "word": " of", "probability": 0.95751953125}, {"start": 1386.37, "end": 1386.49, "word": " the", "probability": 0.494140625}, {"start": 1386.49, "end": 1386.79, "word": " lens", "probability": 0.7099609375}, {"start": 1386.79, "end": 1387.57, "word": " that", "probability": 0.0908203125}, {"start": 1387.57, "end": 1387.75, "word": " has", "probability": 0.310546875}, {"start": 1387.75, "end": 1388.35, "word": " two", "probability": 0.728515625}, {"start": 1388.35, "end": 1388.35, "word": " surfaces,", "probability": 0.71875}, {"start": 1388.59, "end": 1388.69, "word": " the", "probability": 0.701171875}, {"start": 1388.69, "end": 1388.97, "word": " lenses", "probability": 0.8486328125}, {"start": 1388.97, "end": 1389.19, "word": " that", "probability": 0.73486328125}, {"start": 1389.19, "end": 1389.35, "word": " we", "probability": 0.9287109375}, {"start": 1389.35, "end": 1389.79, "word": " use", "probability": 0.87158203125}, {"start": 1389.79, "end": 1390.03, "word": " in", "probability": 0.9228515625}, {"start": 1390.03, "end": 1390.53, "word": " our", "probability": 0.84912109375}, {"start": 1390.53, "end": 1390.53, "word": " lives", "probability": 0.382568359375}, {"start": 1390.53, "end": 1391.07, "word": " The", "probability": 0.38818359375}, {"start": 1391.07, "end": 1391.35, "word": " lens", "probability": 0.5068359375}, {"start": 1391.35, "end": 1392.25, "word": " of", "probability": 0.66357421875}, {"start": 1392.25, "end": 1392.35, "word": " the", "probability": 0.681640625}, {"start": 1392.35, "end": 1392.81, "word": " glasses,", "probability": 0.472900390625}, {"start": 1393.59, "end": 1394.15, "word": " the", "probability": 0.76611328125}, {"start": 1394.15, "end": 1394.37, "word": " lens", "probability": 0.6416015625}, {"start": 1394.37, "end": 1394.55, "word": " of", "probability": 0.78125}, {"start": 1394.55, "end": 1394.93, "word": " the", "probability": 0.73583984375}, {"start": 1394.93, "end": 1395.75, "word": " adhesive", "probability": 0.493896484375}, {"start": 1395.75, "end": 1395.83, "word": " lens,", "probability": 0.64599609375}, {"start": 1396.29, "end": 1396.73, "word": " etc.", "probability": 0.58349609375}, {"start": 1397.07, "end": 1397.59, "word": " It", "probability": 0.3154296875}, {"start": 1397.59, "end": 1398.87, "word": " is", "probability": 0.68798828125}, {"start": 1398.87, "end": 1398.87, "word": " not", "probability": 0.896484375}, {"start": 1398.87, "end": 1399.09, "word": " a", "probability": 0.1705322265625}, {"start": 1399.09, "end": 1399.43, "word": " condition", "probability": 0.66162109375}, {"start": 1399.43, "end": 1400.61, "word": " that", "probability": 0.6162109375}, {"start": 1400.61, "end": 1400.89, "word": " its", "probability": 0.51513671875}, {"start": 1400.89, "end": 1401.77, "word": " power", "probability": 0.65185546875}, {"start": 1401.77, "end": 1402.61, "word": " and", "probability": 0.70654296875}, {"start": 1402.61, "end": 1403.31, "word": " capacity", "probability": 0.330078125}, {"start": 1403.31, "end": 1403.31, "word": " are", "probability": 0.492431640625}, {"start": 1403.31, "end": 1403.31, "word": " distributed", "probability": 0.7548828125}, {"start": 1403.31, "end": 1403.83, "word": " Its", "probability": 0.755859375}, {"start": 1403.83, "end": 1404.25, "word": " power", "probability": 0.634765625}, {"start": 1404.25, "end": 1404.57, "word": " is", "probability": 0.84423828125}, {"start": 1404.57, "end": 1404.71, "word": " its", "probability": 0.81787109375}, {"start": 1404.71, "end": 1405.07, "word": " ability", "probability": 0.78076171875}, {"start": 1405.07, "end": 1405.55, "word": " to", "probability": 0.9697265625}, {"start": 1405.55, "end": 1406.11, "word": " change", "probability": 0.8515625}, {"start": 1406.11, "end": 1406.35, "word": " the", "probability": 0.611328125}, {"start": 1406.35, "end": 1407.09, "word": " course", "probability": 0.66650390625}, {"start": 1407.09, "end": 1407.27, "word": " of", "probability": 0.9697265625}, {"start": 1407.27, "end": 1407.75, "word": " events", "probability": 0.251708984375}, {"start": 1407.75, "end": 1408.51, "word": " through", "probability": 0.78076171875}, {"start": 1408.51, "end": 1408.71, "word": " the", "probability": 0.53271484375}, {"start": 1408.71, "end": 1409.01, "word": " laws", "probability": 0.54541015625}, {"start": 1409.01, "end": 1409.19, "word": " of", "probability": 0.97314453125}, {"start": 1409.19, "end": 1409.59, "word": " friction,", "probability": 0.127685546875}, {"start": 1409.81, "end": 1410.23, "word": " Snell's", "probability": 0.68524169921875}, {"start": 1410.23, "end": 1410.45, "word": " law", "probability": 0.615234375}], "temperature": 1.0}, {"id": 59, "seek": 143885, "start": 1410.93, "end": 1438.85, "text": "In order to change the fluctuating state of light, it is not necessary to use its strength and ability to change the fluctuating state equally between the two surfaces The front surface facing the object and the back surface facing the image But it begins by giving the front surface what is necessary to eliminate the fluctuation What is necessary to eliminate the fluctuation and therefore I have", "tokens": [4575, 1668, 281, 1319, 264, 23448, 32438, 1785, 295, 1442, 11, 309, 307, 406, 4818, 281, 764, 1080, 3800, 293, 3485, 281, 1319, 264, 23448, 32438, 1785, 12309, 1296, 264, 732, 16130, 440, 1868, 3753, 7170, 264, 2657, 293, 264, 646, 3753, 7170, 264, 3256, 583, 309, 7338, 538, 2902, 264, 1868, 3753, 437, 307, 4818, 281, 13819, 264, 23448, 16073, 708, 307, 4818, 281, 13819, 264, 23448, 16073, 293, 4412, 286, 362], "avg_logprob": -0.5038006942014437, "compression_ratio": 2.0729166666666665, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 1410.93, "end": 1411.29, "word": "In", "probability": 0.051910400390625}, {"start": 1411.29, "end": 1411.33, "word": " order", "probability": 0.7353515625}, {"start": 1411.33, "end": 1411.41, "word": " to", "probability": 0.912109375}, {"start": 1411.41, "end": 1411.83, "word": " change", "probability": 0.7939453125}, {"start": 1411.83, "end": 1412.01, "word": " the", "probability": 0.77294921875}, {"start": 1412.01, "end": 1413.07, "word": " fluctuating", "probability": 0.1434326171875}, {"start": 1413.07, "end": 1413.07, "word": " state", "probability": 0.7158203125}, {"start": 1413.07, "end": 1413.27, "word": " of", "probability": 0.701171875}, {"start": 1413.27, "end": 1413.63, "word": " light,", "probability": 0.810546875}, {"start": 1413.99, "end": 1414.03, "word": " it", "probability": 0.60498046875}, {"start": 1414.03, "end": 1414.25, "word": " is", "probability": 0.281494140625}, {"start": 1414.25, "end": 1414.25, "word": " not", "probability": 0.87841796875}, {"start": 1414.25, "end": 1414.81, "word": " necessary", "probability": 0.638671875}, {"start": 1414.81, "end": 1415.15, "word": " to", "probability": 0.75244140625}, {"start": 1415.15, "end": 1415.57, "word": " use", "probability": 0.1610107421875}, {"start": 1415.57, "end": 1416.45, "word": " its", "probability": 0.69921875}, {"start": 1416.45, "end": 1417.09, "word": " strength", "probability": 0.28466796875}, {"start": 1417.09, "end": 1417.73, "word": " and", "probability": 0.8037109375}, {"start": 1417.73, "end": 1418.11, "word": " ability", "probability": 0.3955078125}, {"start": 1418.11, "end": 1418.39, "word": " to", "probability": 0.9150390625}, {"start": 1418.39, "end": 1418.73, "word": " change", "probability": 0.849609375}, {"start": 1418.73, "end": 1418.91, "word": " the", "probability": 0.7900390625}, {"start": 1418.91, "end": 1419.65, "word": " fluctuating", "probability": 0.92919921875}, {"start": 1419.65, "end": 1419.75, "word": " state", "probability": 0.93994140625}, {"start": 1419.75, "end": 1420.53, "word": " equally", "probability": 0.417236328125}, {"start": 1420.53, "end": 1420.95, "word": " between", "probability": 0.8466796875}, {"start": 1420.95, "end": 1421.09, "word": " the", "probability": 0.55908203125}, {"start": 1421.09, "end": 1421.43, "word": " two", "probability": 0.89794921875}, {"start": 1421.43, "end": 1421.43, "word": " surfaces", "probability": 0.89501953125}, {"start": 1421.43, "end": 1421.69, "word": " The", "probability": 0.314453125}, {"start": 1421.69, "end": 1422.45, "word": " front", "probability": 0.79736328125}, {"start": 1422.45, "end": 1422.57, "word": " surface", "probability": 0.83349609375}, {"start": 1422.57, "end": 1423.07, "word": " facing", "probability": 0.442626953125}, {"start": 1423.07, "end": 1423.33, "word": " the", "probability": 0.86474609375}, {"start": 1423.33, "end": 1423.73, "word": " object", "probability": 0.9599609375}, {"start": 1423.73, "end": 1424.23, "word": " and", "probability": 0.525390625}, {"start": 1424.23, "end": 1424.97, "word": " the", "probability": 0.9130859375}, {"start": 1424.97, "end": 1425.21, "word": " back", "probability": 0.619140625}, {"start": 1425.21, "end": 1425.39, "word": " surface", "probability": 0.86767578125}, {"start": 1425.39, "end": 1426.07, "word": " facing", "probability": 0.87841796875}, {"start": 1426.07, "end": 1426.81, "word": " the", "probability": 0.90625}, {"start": 1426.81, "end": 1427.09, "word": " image", "probability": 0.85888671875}, {"start": 1427.09, "end": 1427.79, "word": " But", "probability": 0.257568359375}, {"start": 1427.79, "end": 1428.73, "word": " it", "probability": 0.51123046875}, {"start": 1428.73, "end": 1429.13, "word": " begins", "probability": 0.4228515625}, {"start": 1429.13, "end": 1429.45, "word": " by", "probability": 0.6533203125}, {"start": 1429.45, "end": 1429.83, "word": " giving", "probability": 0.806640625}, {"start": 1429.83, "end": 1430.23, "word": " the", "probability": 0.9150390625}, {"start": 1430.23, "end": 1431.17, "word": " front", "probability": 0.9345703125}, {"start": 1431.17, "end": 1431.29, "word": " surface", "probability": 0.8818359375}, {"start": 1431.29, "end": 1431.87, "word": " what", "probability": 0.8251953125}, {"start": 1431.87, "end": 1432.01, "word": " is", "probability": 0.6015625}, {"start": 1432.01, "end": 1432.43, "word": " necessary", "probability": 0.8056640625}, {"start": 1432.43, "end": 1432.71, "word": " to", "probability": 0.9677734375}, {"start": 1432.71, "end": 1432.97, "word": " eliminate", "probability": 0.388427734375}, {"start": 1432.97, "end": 1433.27, "word": " the", "probability": 0.60595703125}, {"start": 1433.27, "end": 1433.77, "word": " fluctuation", "probability": 0.865966796875}, {"start": 1433.77, "end": 1434.01, "word": " What", "probability": 0.339599609375}, {"start": 1434.01, "end": 1434.17, "word": " is", "probability": 0.89697265625}, {"start": 1434.17, "end": 1434.59, "word": " necessary", "probability": 0.8798828125}, {"start": 1434.59, "end": 1435.09, "word": " to", "probability": 0.9736328125}, {"start": 1435.09, "end": 1435.45, "word": " eliminate", "probability": 0.8330078125}, {"start": 1435.45, "end": 1436.11, "word": " the", "probability": 0.66748046875}, {"start": 1436.11, "end": 1436.55, "word": " fluctuation", "probability": 0.932861328125}, {"start": 1436.55, "end": 1437.03, "word": " and", "probability": 0.228759765625}, {"start": 1437.03, "end": 1437.61, "word": " therefore", "probability": 0.2763671875}, {"start": 1437.61, "end": 1438.39, "word": " I", "probability": 0.580078125}, {"start": 1438.39, "end": 1438.85, "word": " have", "probability": 0.5771484375}], "temperature": 1.0}, {"id": 60, "seek": 146619, "start": 1440.65, "end": 1466.19, "text": "the distribution, what remains of the force is transferred to the back surface, some of the force of the lens may remain on the back surface, it may remain zero, it may remain minus, that is, the light is still fluctuating, as in this example. Okay, if we imagine that the light reached a fluctuation of minus two diopters", "tokens": [3322, 7316, 11, 437, 7023, 295, 264, 3464, 307, 15809, 281, 264, 646, 3753, 11, 512, 295, 264, 3464, 295, 264, 6765, 815, 6222, 322, 264, 646, 3753, 11, 309, 815, 6222, 4018, 11, 309, 815, 6222, 3175, 11, 300, 307, 11, 264, 1442, 307, 920, 23448, 32438, 11, 382, 294, 341, 1365, 13, 1033, 11, 498, 321, 3811, 300, 264, 1442, 6488, 257, 23448, 16073, 295, 3175, 732, 1026, 404, 1559], "avg_logprob": -0.579623281139217, "compression_ratio": 1.788888888888889, "no_speech_prob": 5.066394805908203e-06, "words": [{"start": 1440.6499999999999, "end": 1441.33, "word": "the", "probability": 0.09954833984375}, {"start": 1441.33, "end": 1441.77, "word": " distribution,", "probability": 0.478271484375}, {"start": 1442.27, "end": 1442.43, "word": " what", "probability": 0.53759765625}, {"start": 1442.43, "end": 1443.19, "word": " remains", "probability": 0.51025390625}, {"start": 1443.19, "end": 1443.69, "word": " of", "probability": 0.841796875}, {"start": 1443.69, "end": 1444.17, "word": " the", "probability": 0.78271484375}, {"start": 1444.17, "end": 1444.53, "word": " force", "probability": 0.59765625}, {"start": 1444.53, "end": 1444.83, "word": " is", "probability": 0.310791015625}, {"start": 1444.83, "end": 1445.11, "word": " transferred", "probability": 0.0723876953125}, {"start": 1445.11, "end": 1445.33, "word": " to", "probability": 0.9404296875}, {"start": 1445.33, "end": 1445.85, "word": " the", "probability": 0.9189453125}, {"start": 1445.85, "end": 1446.05, "word": " back", "probability": 0.4990234375}, {"start": 1446.05, "end": 1446.19, "word": " surface,", "probability": 0.76123046875}, {"start": 1446.59, "end": 1448.93, "word": " some", "probability": 0.5087890625}, {"start": 1448.93, "end": 1449.19, "word": " of", "probability": 0.76318359375}, {"start": 1449.19, "end": 1449.19, "word": " the", "probability": 0.8896484375}, {"start": 1449.19, "end": 1449.41, "word": " force", "probability": 0.263671875}, {"start": 1449.41, "end": 1449.63, "word": " of", "probability": 0.556640625}, {"start": 1449.63, "end": 1449.83, "word": " the", "probability": 0.8505859375}, {"start": 1449.83, "end": 1450.19, "word": " lens", "probability": 0.398681640625}, {"start": 1450.19, "end": 1450.49, "word": " may", "probability": 0.2396240234375}, {"start": 1450.49, "end": 1450.49, "word": " remain", "probability": 0.75439453125}, {"start": 1450.49, "end": 1450.59, "word": " on", "probability": 0.338623046875}, {"start": 1450.59, "end": 1450.67, "word": " the", "probability": 0.91357421875}, {"start": 1450.67, "end": 1451.27, "word": " back", "probability": 0.8095703125}, {"start": 1451.27, "end": 1451.27, "word": " surface,", "probability": 0.83203125}, {"start": 1451.47, "end": 1451.47, "word": " it", "probability": 0.293212890625}, {"start": 1451.47, "end": 1451.85, "word": " may", "probability": 0.732421875}, {"start": 1451.85, "end": 1452.75, "word": " remain", "probability": 0.7939453125}, {"start": 1452.75, "end": 1453.13, "word": " zero,", "probability": 0.63671875}, {"start": 1453.29, "end": 1453.37, "word": " it", "probability": 0.5537109375}, {"start": 1453.37, "end": 1453.61, "word": " may", "probability": 0.90771484375}, {"start": 1453.61, "end": 1454.11, "word": " remain", "probability": 0.76708984375}, {"start": 1454.11, "end": 1454.63, "word": " minus,", "probability": 0.453857421875}, {"start": 1454.83, "end": 1454.95, "word": " that", "probability": 0.2763671875}, {"start": 1454.95, "end": 1455.31, "word": " is,", "probability": 0.87646484375}, {"start": 1456.01, "end": 1457.77, "word": " the", "probability": 0.65087890625}, {"start": 1457.77, "end": 1457.99, "word": " light", "probability": 0.79736328125}, {"start": 1457.99, "end": 1458.17, "word": " is", "probability": 0.6171875}, {"start": 1458.17, "end": 1458.25, "word": " still", "probability": 0.87158203125}, {"start": 1458.25, "end": 1458.79, "word": " fluctuating,", "probability": 0.64013671875}, {"start": 1459.13, "end": 1459.33, "word": " as", "probability": 0.74609375}, {"start": 1459.33, "end": 1459.51, "word": " in", "probability": 0.250732421875}, {"start": 1459.51, "end": 1460.09, "word": " this", "probability": 0.724609375}, {"start": 1460.09, "end": 1460.09, "word": " example.", "probability": 0.94970703125}, {"start": 1461.51, "end": 1461.99, "word": " Okay,", "probability": 0.3173828125}, {"start": 1462.13, "end": 1462.29, "word": " if", "probability": 0.56591796875}, {"start": 1462.29, "end": 1462.43, "word": " we", "probability": 0.93212890625}, {"start": 1462.43, "end": 1462.83, "word": " imagine", "probability": 0.904296875}, {"start": 1462.83, "end": 1463.19, "word": " that", "probability": 0.89794921875}, {"start": 1463.19, "end": 1463.35, "word": " the", "probability": 0.75}, {"start": 1463.35, "end": 1463.53, "word": " light", "probability": 0.8837890625}, {"start": 1463.53, "end": 1463.89, "word": " reached", "probability": 0.358642578125}, {"start": 1463.89, "end": 1464.05, "word": " a", "probability": 0.78076171875}, {"start": 1464.05, "end": 1464.53, "word": " fluctuation", "probability": 0.7010498046875}, {"start": 1464.53, "end": 1464.71, "word": " of", "probability": 0.7783203125}, {"start": 1464.71, "end": 1465.07, "word": " minus", "probability": 0.65283203125}, {"start": 1465.07, "end": 1465.55, "word": " two", "probability": 0.64697265625}, {"start": 1465.55, "end": 1466.19, "word": " diopters", "probability": 0.8513997395833334}], "temperature": 1.0}, {"id": 61, "seek": 148652, "start": 1466.62, "end": 1486.52, "text": "minus 2 diopter, then from the plus 10, the lens will start on the front surface plus 2, to cancel the minus 2, the back surface will remain plus 8 diopter, then it is not necessary to distribute the forces equally", "tokens": [2367, 301, 568, 1026, 404, 391, 11, 550, 490, 264, 1804, 1266, 11, 264, 6765, 486, 722, 322, 264, 1868, 3753, 1804, 568, 11, 281, 10373, 264, 3175, 568, 11, 264, 646, 3753, 486, 6222, 1804, 1649, 1026, 404, 391, 11, 550, 309, 307, 406, 4818, 281, 20594, 264, 5874, 12309], "avg_logprob": -0.43870192250380147, "compression_ratio": 1.5735294117647058, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1466.62, "end": 1467.38, "word": "minus", "probability": 0.722412109375}, {"start": 1467.38, "end": 1467.86, "word": " 2", "probability": 0.47998046875}, {"start": 1467.86, "end": 1468.44, "word": " diopter,", "probability": 0.7918294270833334}, {"start": 1468.86, "end": 1469.22, "word": " then", "probability": 0.30078125}, {"start": 1469.22, "end": 1469.48, "word": " from", "probability": 0.7822265625}, {"start": 1469.48, "end": 1469.66, "word": " the", "probability": 0.277587890625}, {"start": 1469.66, "end": 1469.94, "word": " plus", "probability": 0.58740234375}, {"start": 1469.94, "end": 1470.36, "word": " 10,", "probability": 0.73876953125}, {"start": 1470.92, "end": 1471.12, "word": " the", "probability": 0.837890625}, {"start": 1471.12, "end": 1471.42, "word": " lens", "probability": 0.62744140625}, {"start": 1471.42, "end": 1471.7, "word": " will", "probability": 0.7890625}, {"start": 1471.7, "end": 1472.0, "word": " start", "probability": 0.223388671875}, {"start": 1472.0, "end": 1472.16, "word": " on", "probability": 0.42236328125}, {"start": 1472.16, "end": 1472.68, "word": " the", "probability": 0.865234375}, {"start": 1472.68, "end": 1472.88, "word": " front", "probability": 0.80615234375}, {"start": 1472.88, "end": 1472.88, "word": " surface", "probability": 0.6455078125}, {"start": 1472.88, "end": 1473.44, "word": " plus", "probability": 0.646484375}, {"start": 1473.44, "end": 1473.92, "word": " 2,", "probability": 0.86865234375}, {"start": 1474.04, "end": 1474.36, "word": " to", "probability": 0.654296875}, {"start": 1474.36, "end": 1474.68, "word": " cancel", "probability": 0.57470703125}, {"start": 1474.68, "end": 1474.86, "word": " the", "probability": 0.427001953125}, {"start": 1474.86, "end": 1475.12, "word": " minus", "probability": 0.9443359375}, {"start": 1475.12, "end": 1475.56, "word": " 2,", "probability": 0.97314453125}, {"start": 1476.04, "end": 1476.26, "word": " the", "probability": 0.48193359375}, {"start": 1476.26, "end": 1476.88, "word": " back", "probability": 0.60986328125}, {"start": 1476.88, "end": 1477.22, "word": " surface", "probability": 0.7998046875}, {"start": 1477.22, "end": 1477.92, "word": " will", "probability": 0.79296875}, {"start": 1477.92, "end": 1477.92, "word": " remain", "probability": 0.5390625}, {"start": 1477.92, "end": 1478.54, "word": " plus", "probability": 0.84814453125}, {"start": 1478.54, "end": 1479.02, "word": " 8", "probability": 0.9541015625}, {"start": 1479.02, "end": 1480.04, "word": " diopter,", "probability": 0.9099934895833334}, {"start": 1480.34, "end": 1480.7, "word": " then", "probability": 0.5166015625}, {"start": 1480.7, "end": 1481.04, "word": " it", "probability": 0.61376953125}, {"start": 1481.04, "end": 1481.34, "word": " is", "probability": 0.55517578125}, {"start": 1481.34, "end": 1481.34, "word": " not", "probability": 0.89697265625}, {"start": 1481.34, "end": 1481.8, "word": " necessary", "probability": 0.71240234375}, {"start": 1481.8, "end": 1483.16, "word": " to", "probability": 0.90771484375}, {"start": 1483.16, "end": 1483.6, "word": " distribute", "probability": 0.6884765625}, {"start": 1483.6, "end": 1483.84, "word": " the", "probability": 0.7412109375}, {"start": 1483.84, "end": 1484.12, "word": " forces", "probability": 0.453125}, {"start": 1484.12, "end": 1486.52, "word": " equally", "probability": 0.329833984375}], "temperature": 1.0}, {"id": 62, "seek": 150588, "start": 1487.72, "end": 1505.88, "text": "According to the lens maker's equation, when light from an object strikes a reduced version changes by an amount equal to the power of the front surface of the lens.", "tokens": [47943, 3357, 281, 264, 6765, 17127, 311, 5367, 11, 562, 1442, 490, 364, 2657, 16750, 257, 9212, 3037, 2962, 538, 364, 2372, 2681, 281, 264, 1347, 295, 264, 1868, 3753, 295, 264, 6765, 13], "avg_logprob": -0.29910715307508196, "compression_ratio": 1.3636363636363635, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 1487.72, "end": 1488.32, "word": "According", "probability": 0.83251953125}, {"start": 1488.32, "end": 1488.56, "word": " to", "probability": 0.978515625}, {"start": 1488.56, "end": 1488.74, "word": " the", "probability": 0.853515625}, {"start": 1488.74, "end": 1488.92, "word": " lens", "probability": 0.75}, {"start": 1488.92, "end": 1489.5, "word": " maker's", "probability": 0.5269775390625}, {"start": 1489.5, "end": 1490.0, "word": " equation,", "probability": 0.94140625}, {"start": 1490.2, "end": 1490.3, "word": " when", "probability": 0.91845703125}, {"start": 1490.3, "end": 1490.74, "word": " light", "probability": 0.845703125}, {"start": 1490.74, "end": 1491.06, "word": " from", "probability": 0.8720703125}, {"start": 1491.06, "end": 1491.42, "word": " an", "probability": 0.939453125}, {"start": 1491.42, "end": 1491.9, "word": " object", "probability": 0.97802734375}, {"start": 1491.9, "end": 1492.74, "word": " strikes", "probability": 0.7734375}, {"start": 1492.74, "end": 1495.38, "word": " a", "probability": 0.1497802734375}, {"start": 1495.38, "end": 1497.8, "word": " reduced", "probability": 0.75830078125}, {"start": 1497.8, "end": 1498.54, "word": " version", "probability": 0.53515625}, {"start": 1498.54, "end": 1499.68, "word": " changes", "probability": 0.1778564453125}, {"start": 1499.68, "end": 1500.5, "word": " by", "probability": 0.9541015625}, {"start": 1500.5, "end": 1500.9, "word": " an", "probability": 0.93115234375}, {"start": 1500.9, "end": 1501.36, "word": " amount", "probability": 0.93115234375}, {"start": 1501.36, "end": 1501.78, "word": " equal", "probability": 0.88623046875}, {"start": 1501.78, "end": 1502.06, "word": " to", "probability": 0.97265625}, {"start": 1502.06, "end": 1502.26, "word": " the", "probability": 0.912109375}, {"start": 1502.26, "end": 1502.56, "word": " power", "probability": 0.89453125}, {"start": 1502.56, "end": 1502.84, "word": " of", "probability": 0.9658203125}, {"start": 1502.84, "end": 1503.04, "word": " the", "probability": 0.90869140625}, {"start": 1503.04, "end": 1503.36, "word": " front", "probability": 0.9287109375}, {"start": 1503.36, "end": 1504.12, "word": " surface", "probability": 0.6005859375}, {"start": 1504.12, "end": 1504.86, "word": " of", "probability": 0.9375}, {"start": 1504.86, "end": 1505.44, "word": " the", "probability": 0.880859375}, {"start": 1505.44, "end": 1505.88, "word": " lens.", "probability": 0.89990234375}], "temperature": 1.0}, {"id": 63, "seek": 152162, "start": 1509.16, "end": 1521.62, "text": "The reduced divergence here, the reduced divergence here is equal to the force of the front lens surface if this force is sufficient, okay?", "tokens": [2278, 9212, 47387, 510, 11, 264, 9212, 47387, 510, 307, 2681, 281, 264, 3464, 295, 264, 1868, 6765, 3753, 498, 341, 3464, 307, 11563, 11, 1392, 30], "avg_logprob": -0.5237165029559817, "compression_ratio": 1.4787234042553192, "no_speech_prob": 0.0, "words": [{"start": 1509.16, "end": 1509.44, "word": "The", "probability": 0.4443359375}, {"start": 1509.44, "end": 1509.92, "word": " reduced", "probability": 0.94140625}, {"start": 1509.92, "end": 1510.42, "word": " divergence", "probability": 0.328857421875}, {"start": 1510.42, "end": 1510.84, "word": " here,", "probability": 0.76708984375}, {"start": 1510.9, "end": 1511.24, "word": " the", "probability": 0.6611328125}, {"start": 1511.24, "end": 1511.64, "word": " reduced", "probability": 0.96484375}, {"start": 1511.64, "end": 1512.18, "word": " divergence", "probability": 0.97802734375}, {"start": 1512.18, "end": 1512.86, "word": " here", "probability": 0.84521484375}, {"start": 1512.86, "end": 1513.7, "word": " is", "probability": 0.25634765625}, {"start": 1513.7, "end": 1514.16, "word": " equal", "probability": 0.6650390625}, {"start": 1514.16, "end": 1514.28, "word": " to", "probability": 0.9716796875}, {"start": 1514.28, "end": 1514.34, "word": " the", "probability": 0.90380859375}, {"start": 1514.34, "end": 1514.64, "word": " force", "probability": 0.41748046875}, {"start": 1514.64, "end": 1515.06, "word": " of", "probability": 0.81884765625}, {"start": 1515.06, "end": 1516.16, "word": " the", "probability": 0.90576171875}, {"start": 1516.16, "end": 1516.78, "word": " front", "probability": 0.76806640625}, {"start": 1516.78, "end": 1518.26, "word": " lens", "probability": 0.57177734375}, {"start": 1518.26, "end": 1518.36, "word": " surface", "probability": 0.53564453125}, {"start": 1518.36, "end": 1519.24, "word": " if", "probability": 0.6826171875}, {"start": 1519.24, "end": 1520.2, "word": " this", "probability": 0.734375}, {"start": 1520.2, "end": 1520.94, "word": " force", "probability": 0.91357421875}, {"start": 1520.94, "end": 1520.98, "word": " is", "probability": 0.88134765625}, {"start": 1520.98, "end": 1520.98, "word": " sufficient,", "probability": 0.09716796875}, {"start": 1521.3, "end": 1521.62, "word": " okay?", "probability": 0.59228515625}], "temperature": 1.0}, {"id": 64, "seek": 153344, "start": 1523.24, "end": 1533.44, "text": "Divergence continues to change as the light moves from the front to back surface. This is known as divergence change on transfer.", "tokens": [35, 1837, 15260, 6515, 281, 1319, 382, 264, 1442, 6067, 490, 264, 1868, 281, 646, 3753, 13, 639, 307, 2570, 382, 47387, 1319, 322, 5003, 13], "avg_logprob": -0.3090277799853572, "compression_ratio": 1.2772277227722773, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1523.24, "end": 1523.88, "word": "Divergence", "probability": 0.7209879557291666}, {"start": 1523.88, "end": 1524.42, "word": " continues", "probability": 0.88671875}, {"start": 1524.42, "end": 1524.78, "word": " to", "probability": 0.9560546875}, {"start": 1524.78, "end": 1525.32, "word": " change", "probability": 0.900390625}, {"start": 1525.32, "end": 1525.64, "word": " as", "probability": 0.93505859375}, {"start": 1525.64, "end": 1525.84, "word": " the", "probability": 0.8974609375}, {"start": 1525.84, "end": 1526.04, "word": " light", "probability": 0.7734375}, {"start": 1526.04, "end": 1527.78, "word": " moves", "probability": 0.84423828125}, {"start": 1527.78, "end": 1528.12, "word": " from", "probability": 0.86865234375}, {"start": 1528.12, "end": 1528.36, "word": " the", "probability": 0.73486328125}, {"start": 1528.36, "end": 1528.64, "word": " front", "probability": 0.96435546875}, {"start": 1528.64, "end": 1528.92, "word": " to", "probability": 0.966796875}, {"start": 1528.92, "end": 1529.22, "word": " back", "probability": 0.7998046875}, {"start": 1529.22, "end": 1529.74, "word": " surface.", "probability": 0.88330078125}, {"start": 1530.26, "end": 1530.46, "word": " This", "probability": 0.71240234375}, {"start": 1530.46, "end": 1530.76, "word": " is", "probability": 0.93798828125}, {"start": 1530.76, "end": 1531.06, "word": " known", "probability": 0.77197265625}, {"start": 1531.06, "end": 1531.38, "word": " as", "probability": 0.96435546875}, {"start": 1531.38, "end": 1531.84, "word": " divergence", "probability": 0.6943359375}, {"start": 1531.84, "end": 1532.52, "word": " change", "probability": 0.85546875}, {"start": 1532.52, "end": 1532.74, "word": " on", "probability": 0.859375}, {"start": 1532.74, "end": 1533.44, "word": " transfer.", "probability": 0.8681640625}], "temperature": 1.0}, {"id": 65, "seek": 156372, "start": 1543.94, "end": 1563.72, "text": "It will leave the light and will flow from the front surface to the lens to the back surface This distance that it cuts can be one millimeter, two millimeters, three millimeters, half a millimeter, depending on the thickness of the lens This small distance is also changed by the divergence under the light. Why? Because this is a distance", "tokens": [3522, 486, 1856, 264, 1442, 293, 486, 3095, 490, 264, 1868, 3753, 281, 264, 6765, 281, 264, 646, 3753, 639, 4560, 300, 309, 9992, 393, 312, 472, 17942, 11, 732, 24388, 11, 1045, 24388, 11, 1922, 257, 17942, 11, 5413, 322, 264, 14855, 295, 264, 6765, 639, 1359, 4560, 307, 611, 3105, 538, 264, 47387, 833, 264, 1442, 13, 1545, 30, 1436, 341, 307, 257, 4560], "avg_logprob": -0.500932857171813, "compression_ratio": 1.774869109947644, "no_speech_prob": 8.106231689453125e-06, "words": [{"start": 1543.94, "end": 1544.18, "word": "It", "probability": 0.287353515625}, {"start": 1544.18, "end": 1544.26, "word": " will", "probability": 0.5751953125}, {"start": 1544.26, "end": 1544.68, "word": " leave", "probability": 0.287841796875}, {"start": 1544.68, "end": 1544.9, "word": " the", "probability": 0.478515625}, {"start": 1544.9, "end": 1545.06, "word": " light", "probability": 0.388427734375}, {"start": 1545.06, "end": 1545.28, "word": " and", "probability": 0.74951171875}, {"start": 1545.28, "end": 1545.44, "word": " will", "probability": 0.252197265625}, {"start": 1545.44, "end": 1545.7, "word": " flow", "probability": 0.28076171875}, {"start": 1545.7, "end": 1545.92, "word": " from", "probability": 0.8603515625}, {"start": 1545.92, "end": 1546.08, "word": " the", "probability": 0.84033203125}, {"start": 1546.08, "end": 1546.66, "word": " front", "probability": 0.8681640625}, {"start": 1546.66, "end": 1546.72, "word": " surface", "probability": 0.447265625}, {"start": 1546.72, "end": 1546.92, "word": " to", "probability": 0.65234375}, {"start": 1546.92, "end": 1547.04, "word": " the", "probability": 0.8740234375}, {"start": 1547.04, "end": 1547.3, "word": " lens", "probability": 0.56787109375}, {"start": 1547.3, "end": 1547.48, "word": " to", "probability": 0.58154296875}, {"start": 1547.48, "end": 1547.6, "word": " the", "probability": 0.912109375}, {"start": 1547.6, "end": 1548.18, "word": " back", "probability": 0.5908203125}, {"start": 1548.18, "end": 1548.34, "word": " surface", "probability": 0.84423828125}, {"start": 1548.34, "end": 1549.04, "word": " This", "probability": 0.26806640625}, {"start": 1549.04, "end": 1549.54, "word": " distance", "probability": 0.79443359375}, {"start": 1549.54, "end": 1549.72, "word": " that", "probability": 0.455078125}, {"start": 1549.72, "end": 1549.82, "word": " it", "probability": 0.4228515625}, {"start": 1549.82, "end": 1550.02, "word": " cuts", "probability": 0.224365234375}, {"start": 1550.02, "end": 1550.42, "word": " can", "probability": 0.40087890625}, {"start": 1550.42, "end": 1550.92, "word": " be", "probability": 0.91748046875}, {"start": 1550.92, "end": 1551.12, "word": " one", "probability": 0.3974609375}, {"start": 1551.12, "end": 1551.3, "word": " millimeter,", "probability": 0.640625}, {"start": 1551.46, "end": 1551.58, "word": " two", "probability": 0.91064453125}, {"start": 1551.58, "end": 1551.96, "word": " millimeters,", "probability": 0.87451171875}, {"start": 1552.18, "end": 1552.34, "word": " three", "probability": 0.91845703125}, {"start": 1552.34, "end": 1552.76, "word": " millimeters,", "probability": 0.9111328125}, {"start": 1552.92, "end": 1553.08, "word": " half", "probability": 0.5263671875}, {"start": 1553.08, "end": 1553.2, "word": " a", "probability": 0.76611328125}, {"start": 1553.2, "end": 1553.44, "word": " millimeter,", "probability": 0.88427734375}, {"start": 1553.86, "end": 1554.12, "word": " depending", "probability": 0.68115234375}, {"start": 1554.12, "end": 1554.3, "word": " on", "probability": 0.95263671875}, {"start": 1554.3, "end": 1554.36, "word": " the", "probability": 0.9208984375}, {"start": 1554.36, "end": 1554.5, "word": " thickness", "probability": 0.84326171875}, {"start": 1554.5, "end": 1554.68, "word": " of", "probability": 0.9697265625}, {"start": 1554.68, "end": 1554.76, "word": " the", "probability": 0.92529296875}, {"start": 1554.76, "end": 1555.04, "word": " lens", "probability": 0.87060546875}, {"start": 1555.04, "end": 1555.94, "word": " This", "probability": 0.658203125}, {"start": 1555.94, "end": 1556.92, "word": " small", "probability": 0.6865234375}, {"start": 1556.92, "end": 1557.72, "word": " distance", "probability": 0.5771484375}, {"start": 1557.72, "end": 1558.16, "word": " is", "probability": 0.2320556640625}, {"start": 1558.16, "end": 1558.9, "word": " also", "probability": 0.423583984375}, {"start": 1558.9, "end": 1560.38, "word": " changed", "probability": 0.2763671875}, {"start": 1560.38, "end": 1560.82, "word": " by", "probability": 0.771484375}, {"start": 1560.82, "end": 1560.9, "word": " the", "probability": 0.5576171875}, {"start": 1560.9, "end": 1561.42, "word": " divergence", "probability": 0.6552734375}, {"start": 1561.42, "end": 1561.74, "word": " under", "probability": 0.29443359375}, {"start": 1561.74, "end": 1561.86, "word": " the", "probability": 0.6953125}, {"start": 1561.86, "end": 1562.06, "word": " light.", "probability": 0.88134765625}, {"start": 1562.16, "end": 1562.48, "word": " Why?", "probability": 0.68505859375}, {"start": 1562.76, "end": 1562.98, "word": " Because", "probability": 0.875}, {"start": 1562.98, "end": 1563.24, "word": " this", "probability": 0.654296875}, {"start": 1563.24, "end": 1563.28, "word": " is", "probability": 0.861328125}, {"start": 1563.28, "end": 1563.36, "word": " a", "probability": 0.56982421875}, {"start": 1563.36, "end": 1563.72, "word": " distance", "probability": 0.90185546875}], "temperature": 1.0}, {"id": 66, "seek": 159219, "start": 1564.09, "end": 1592.19, "text": "وطالما تغيرت المسافة طالما تغيرت المسافة ال virgins تاع ال light لازم يتغير ليش لأن ال virgins مقلوب المسافة اتغيرت المسافة virgins تساوي واحد على المسافة او المسافة تساوي واحد على ال virgins نفرض هاى النقطة ايه اللى هى ال object تبعد عشرة صنطة عن السطح الأمامى للعدسة و العدسة سمكها سمكها واحد مليون", "tokens": [2407, 9566, 6027, 15042, 6055, 17082, 13546, 2655, 9673, 3794, 31845, 3660, 23032, 6027, 15042, 6055, 17082, 13546, 2655, 9673, 3794, 31845, 3660, 2423, 4107, 23320, 6055, 45761, 2423, 1442, 5296, 31377, 2304, 7251, 2655, 17082, 13546, 32239, 8592, 5296, 33456, 2423, 4107, 23320, 3714, 4587, 1211, 37746, 9673, 3794, 31845, 3660, 1975, 2655, 17082, 13546, 2655, 9673, 3794, 31845, 3660, 4107, 23320, 6055, 3794, 995, 45865, 36764, 24401, 15844, 9673, 3794, 31845, 3660, 1975, 2407, 9673, 3794, 31845, 3660, 6055, 3794, 995, 45865, 36764, 24401, 15844, 2423, 4107, 23320, 8717, 5172, 43042, 8032, 995, 7578, 28239, 47432, 3660, 1975, 1829, 3224, 13672, 7578, 8032, 7578, 2423, 2657, 6055, 3555, 22488, 6225, 8592, 25720, 20328, 1863, 9566, 3660, 18871, 21136, 9566, 5016, 16247, 2304, 10943, 7578, 24976, 3615, 3215, 3794, 3660, 4032, 18863, 3215, 3794, 3660, 8608, 2304, 4117, 11296, 8608, 2304, 4117, 11296, 36764, 24401, 3714, 20292, 11536], "avg_logprob": -0.17791666408379872, "compression_ratio": 2.3410138248847927, "no_speech_prob": 0.0, "words": [{"start": 1564.09, "end": 1564.75, "word": "وطالما", "probability": 0.749786376953125}, {"start": 1564.75, "end": 1565.49, "word": " تغيرت", "probability": 0.9822998046875}, {"start": 1565.49, "end": 1566.19, "word": " المسافة", "probability": 0.9771728515625}, {"start": 1566.19, "end": 1566.79, "word": " طالما", "probability": 0.7294108072916666}, {"start": 1566.79, "end": 1567.39, "word": " تغيرت", "probability": 0.988037109375}, {"start": 1567.39, "end": 1568.21, "word": " المسافة", "probability": 0.9835205078125}, {"start": 1568.21, "end": 1568.63, "word": " ال", "probability": 0.69677734375}, {"start": 1568.63, "end": 1569.11, "word": " virgins", "probability": 0.3656005859375}, {"start": 1569.11, "end": 1569.47, "word": " تاع", "probability": 0.6268310546875}, {"start": 1569.47, "end": 1569.61, "word": " ال", "probability": 0.9775390625}, {"start": 1569.61, "end": 1569.89, "word": " light", "probability": 0.88720703125}, {"start": 1569.89, "end": 1570.33, "word": " لازم", "probability": 0.9856770833333334}, {"start": 1570.33, "end": 1570.95, "word": " يتغير", "probability": 0.996337890625}, {"start": 1570.95, "end": 1571.69, "word": " ليش", "probability": 0.68359375}, {"start": 1571.69, "end": 1571.93, "word": " لأن", "probability": 0.574951171875}, {"start": 1571.93, "end": 1572.13, "word": " ال", "probability": 0.755859375}, {"start": 1572.13, "end": 1572.67, "word": " virgins", "probability": 0.920166015625}, {"start": 1572.67, "end": 1573.27, "word": " مقلوب", "probability": 0.8590087890625}, {"start": 1573.27, "end": 1574.05, "word": " المسافة", "probability": 0.980712890625}, {"start": 1574.05, "end": 1574.97, "word": " اتغيرت", "probability": 0.893896484375}, {"start": 1574.97, "end": 1575.57, "word": " المسافة", "probability": 0.9886474609375}, {"start": 1575.57, "end": 1576.03, "word": " virgins", "probability": 0.755859375}, {"start": 1576.03, "end": 1576.47, "word": " تساوي", "probability": 0.880859375}, {"start": 1576.47, "end": 1576.79, "word": " واحد", "probability": 0.967041015625}, {"start": 1576.79, "end": 1576.95, "word": " على", "probability": 0.57421875}, {"start": 1576.95, "end": 1577.67, "word": " المسافة", "probability": 0.986083984375}, {"start": 1577.67, "end": 1578.17, "word": " او", "probability": 0.80322265625}, {"start": 1578.17, "end": 1578.73, "word": " المسافة", "probability": 0.976806640625}, {"start": 1578.73, "end": 1579.19, "word": " تساوي", "probability": 0.9766845703125}, {"start": 1579.19, "end": 1579.55, "word": " واحد", "probability": 0.9912109375}, {"start": 1579.55, "end": 1579.77, "word": " على", "probability": 0.85791015625}, {"start": 1579.77, "end": 1579.91, "word": " ال", "probability": 0.9853515625}, {"start": 1579.91, "end": 1580.31, "word": " virgins", "probability": 0.883056640625}, {"start": 1580.31, "end": 1581.11, "word": " نفرض", "probability": 0.9765625}, {"start": 1581.11, "end": 1581.95, "word": " هاى", "probability": 0.5472005208333334}, {"start": 1581.95, "end": 1582.49, "word": " النقطة", "probability": 0.8299153645833334}, {"start": 1582.49, "end": 1582.69, "word": " ايه", "probability": 0.8824869791666666}, {"start": 1582.69, "end": 1582.81, "word": " اللى", "probability": 0.827392578125}, {"start": 1582.81, "end": 1582.91, "word": " هى", "probability": 0.82080078125}, {"start": 1582.91, "end": 1582.99, "word": " ال", "probability": 0.982421875}, {"start": 1582.99, "end": 1583.43, "word": " object", "probability": 0.99365234375}, {"start": 1583.43, "end": 1584.25, "word": " تبعد", "probability": 0.9142252604166666}, {"start": 1584.25, "end": 1584.71, "word": " عشرة", "probability": 0.8255208333333334}, {"start": 1584.71, "end": 1585.61, "word": " صنطة", "probability": 0.62847900390625}, {"start": 1585.61, "end": 1586.13, "word": " عن", "probability": 0.9775390625}, {"start": 1586.13, "end": 1586.57, "word": " السطح", "probability": 0.85498046875}, {"start": 1586.57, "end": 1587.13, "word": " الأمامى", "probability": 0.859619140625}, {"start": 1587.13, "end": 1588.07, "word": " للعدسة", "probability": 0.825}, {"start": 1588.07, "end": 1588.43, "word": " و", "probability": 0.80810546875}, {"start": 1588.43, "end": 1588.97, "word": " العدسة", "probability": 0.9610595703125}, {"start": 1588.97, "end": 1589.55, "word": " سمكها", "probability": 0.7935791015625}, {"start": 1589.55, "end": 1590.95, "word": " سمكها", "probability": 0.9119873046875}, {"start": 1590.95, "end": 1591.75, "word": " واحد", "probability": 0.990478515625}, {"start": 1591.75, "end": 1592.19, "word": " مليون", "probability": 0.6920572916666666}], "temperature": 1.0}, {"id": 67, "seek": 161860, "start": 1592.44, "end": 1618.6, "text": "So, when the light is emitted from point A and reaches this surface, the front surface will be 10 cm. So, when the light reaches the back surface, it will be 10 cm and 1 mm, which is the thickness of the lens. Of course, we draw the lens in a very thick way to clarify the drawings that we explained a while ago. So, the light cuts a distance from here to the front surface of 10 cm,", "tokens": [6455, 11, 562, 264, 1442, 307, 44897, 490, 935, 316, 293, 14235, 341, 3753, 11, 264, 1868, 3753, 486, 312, 1266, 14668, 13, 407, 11, 562, 264, 1442, 14235, 264, 646, 3753, 11, 309, 486, 312, 1266, 14668, 293, 502, 11169, 11, 597, 307, 264, 14855, 295, 264, 6765, 13, 2720, 1164, 11, 321, 2642, 264, 6765, 294, 257, 588, 5060, 636, 281, 17594, 264, 18618, 300, 321, 8825, 257, 1339, 2057, 13, 407, 11, 264, 1442, 9992, 257, 4560, 490, 510, 281, 264, 1868, 3753, 295, 1266, 14668, 11], "avg_logprob": -0.45982143708637785, "compression_ratio": 1.8066037735849056, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1592.44, "end": 1592.88, "word": "So,", "probability": 0.50439453125}, {"start": 1592.98, "end": 1593.3, "word": " when", "probability": 0.5498046875}, {"start": 1593.3, "end": 1593.3, "word": " the", "probability": 0.5458984375}, {"start": 1593.3, "end": 1593.46, "word": " light", "probability": 0.77392578125}, {"start": 1593.46, "end": 1594.56, "word": " is", "probability": 0.2294921875}, {"start": 1594.56, "end": 1595.12, "word": " emitted", "probability": 0.259033203125}, {"start": 1595.12, "end": 1595.36, "word": " from", "probability": 0.82861328125}, {"start": 1595.36, "end": 1595.74, "word": " point", "probability": 0.6171875}, {"start": 1595.74, "end": 1596.06, "word": " A", "probability": 0.85498046875}, {"start": 1596.06, "end": 1596.3, "word": " and", "probability": 0.5966796875}, {"start": 1596.3, "end": 1596.58, "word": " reaches", "probability": 0.5126953125}, {"start": 1596.58, "end": 1597.4, "word": " this", "probability": 0.340087890625}, {"start": 1597.4, "end": 1597.4, "word": " surface,", "probability": 0.611328125}, {"start": 1598.16, "end": 1598.28, "word": " the", "probability": 0.740234375}, {"start": 1598.28, "end": 1598.86, "word": " front", "probability": 0.71142578125}, {"start": 1598.86, "end": 1599.0, "word": " surface", "probability": 0.78271484375}, {"start": 1599.0, "end": 1599.18, "word": " will", "probability": 0.313720703125}, {"start": 1599.18, "end": 1599.34, "word": " be", "probability": 0.87158203125}, {"start": 1599.34, "end": 1599.72, "word": " 10", "probability": 0.368408203125}, {"start": 1599.72, "end": 1600.5, "word": " cm.", "probability": 0.50732421875}, {"start": 1600.56, "end": 1601.04, "word": " So,", "probability": 0.2030029296875}, {"start": 1601.22, "end": 1601.24, "word": " when", "probability": 0.91796875}, {"start": 1601.24, "end": 1601.74, "word": " the", "probability": 0.71728515625}, {"start": 1601.74, "end": 1601.92, "word": " light", "probability": 0.87158203125}, {"start": 1601.92, "end": 1601.98, "word": " reaches", "probability": 0.8056640625}, {"start": 1601.98, "end": 1602.12, "word": " the", "probability": 0.87744140625}, {"start": 1602.12, "end": 1602.78, "word": " back", "probability": 0.69970703125}, {"start": 1602.78, "end": 1602.84, "word": " surface,", "probability": 0.8193359375}, {"start": 1603.02, "end": 1603.02, "word": " it", "probability": 0.78759765625}, {"start": 1603.02, "end": 1603.2, "word": " will", "probability": 0.66064453125}, {"start": 1603.2, "end": 1603.28, "word": " be", "probability": 0.92822265625}, {"start": 1603.28, "end": 1604.06, "word": " 10", "probability": 0.591796875}, {"start": 1604.06, "end": 1604.76, "word": " cm", "probability": 0.76220703125}, {"start": 1604.76, "end": 1604.86, "word": " and", "probability": 0.5009765625}, {"start": 1604.86, "end": 1605.14, "word": " 1", "probability": 0.77490234375}, {"start": 1605.14, "end": 1605.52, "word": " mm,", "probability": 0.64404296875}, {"start": 1605.56, "end": 1605.84, "word": " which", "probability": 0.80029296875}, {"start": 1605.84, "end": 1606.0, "word": " is", "probability": 0.908203125}, {"start": 1606.0, "end": 1606.14, "word": " the", "probability": 0.80322265625}, {"start": 1606.14, "end": 1606.18, "word": " thickness", "probability": 0.57958984375}, {"start": 1606.18, "end": 1606.32, "word": " of", "probability": 0.97021484375}, {"start": 1606.32, "end": 1606.36, "word": " the", "probability": 0.90478515625}, {"start": 1606.36, "end": 1606.54, "word": " lens.", "probability": 0.75439453125}, {"start": 1606.7, "end": 1606.76, "word": " Of", "probability": 0.76953125}, {"start": 1606.76, "end": 1606.86, "word": " course,", "probability": 0.958984375}, {"start": 1606.98, "end": 1607.46, "word": " we", "probability": 0.548828125}, {"start": 1607.46, "end": 1607.86, "word": " draw", "probability": 0.5390625}, {"start": 1607.86, "end": 1608.38, "word": " the", "probability": 0.6953125}, {"start": 1608.38, "end": 1608.38, "word": " lens", "probability": 0.70654296875}, {"start": 1608.38, "end": 1608.5, "word": " in", "probability": 0.419677734375}, {"start": 1608.5, "end": 1609.08, "word": " a", "probability": 0.9189453125}, {"start": 1609.08, "end": 1609.08, "word": " very", "probability": 0.7822265625}, {"start": 1609.08, "end": 1609.82, "word": " thick", "probability": 0.671875}, {"start": 1609.82, "end": 1610.18, "word": " way", "probability": 0.787109375}, {"start": 1610.18, "end": 1610.4, "word": " to", "probability": 0.845703125}, {"start": 1610.4, "end": 1610.86, "word": " clarify", "probability": 0.61962890625}, {"start": 1610.86, "end": 1611.44, "word": " the", "probability": 0.85791015625}, {"start": 1611.44, "end": 1611.72, "word": " drawings", "probability": 0.67578125}, {"start": 1611.72, "end": 1612.04, "word": " that", "probability": 0.716796875}, {"start": 1612.04, "end": 1612.42, "word": " we", "probability": 0.85595703125}, {"start": 1612.42, "end": 1612.66, "word": " explained", "probability": 0.31201171875}, {"start": 1612.66, "end": 1612.96, "word": " a", "probability": 0.260498046875}, {"start": 1612.96, "end": 1613.32, "word": " while", "probability": 0.5048828125}, {"start": 1613.32, "end": 1613.32, "word": " ago.", "probability": 0.87353515625}, {"start": 1614.06, "end": 1614.54, "word": " So,", "probability": 0.9033203125}, {"start": 1614.72, "end": 1615.0, "word": " the", "probability": 0.323974609375}, {"start": 1615.0, "end": 1615.22, "word": " light", "probability": 0.86376953125}, {"start": 1615.22, "end": 1615.58, "word": " cuts", "probability": 0.29638671875}, {"start": 1615.58, "end": 1615.7, "word": " a", "probability": 0.80224609375}, {"start": 1615.7, "end": 1616.0, "word": " distance", "probability": 0.9111328125}, {"start": 1616.0, "end": 1616.18, "word": " from", "probability": 0.81591796875}, {"start": 1616.18, "end": 1616.4, "word": " here", "probability": 0.83154296875}, {"start": 1616.4, "end": 1616.54, "word": " to", "probability": 0.92724609375}, {"start": 1616.54, "end": 1616.68, "word": " the", "probability": 0.9189453125}, {"start": 1616.68, "end": 1617.3, "word": " front", "probability": 0.9306640625}, {"start": 1617.3, "end": 1617.46, "word": " surface", "probability": 0.814453125}, {"start": 1617.46, "end": 1617.82, "word": " of", "probability": 0.379150390625}, {"start": 1617.82, "end": 1618.04, "word": " 10", "probability": 0.92138671875}, {"start": 1618.04, "end": 1618.6, "word": " cm,", "probability": 0.88818359375}], "temperature": 1.0}, {"id": 68, "seek": 164392, "start": 1619.34, "end": 1643.92, "text": "and it should add it above 10 cm 1 mm which is the thickness of the lens of course we make sure that we drew it in a very thick way to clarify the drawings okay isn't 1 mm a distance? of course it's a distance a distance in the end is a distance no matter how small it is and as long as it's a distance no matter how small it is then the distance that the light cuts has changed from 10 cm to 10 cm 1 mm", "tokens": [474, 309, 820, 909, 309, 3673, 1266, 14668, 502, 11169, 597, 307, 264, 14855, 295, 264, 6765, 295, 1164, 321, 652, 988, 300, 321, 12804, 309, 294, 257, 588, 5060, 636, 281, 17594, 264, 18618, 1392, 1943, 380, 502, 11169, 257, 4560, 30, 295, 1164, 309, 311, 257, 4560, 257, 4560, 294, 264, 917, 307, 257, 4560, 572, 1871, 577, 1359, 309, 307, 293, 382, 938, 382, 309, 311, 257, 4560, 572, 1871, 577, 1359, 309, 307, 550, 264, 4560, 300, 264, 1442, 9992, 575, 3105, 490, 1266, 14668, 281, 1266, 14668, 502, 11169], "avg_logprob": -0.5164473621468795, "compression_ratio": 1.9375, "no_speech_prob": 7.808208465576172e-06, "words": [{"start": 1619.34, "end": 1619.56, "word": "and", "probability": 0.34375}, {"start": 1619.56, "end": 1619.66, "word": " it", "probability": 0.2122802734375}, {"start": 1619.66, "end": 1619.82, "word": " should", "probability": 0.287353515625}, {"start": 1619.82, "end": 1620.08, "word": " add", "probability": 0.408203125}, {"start": 1620.08, "end": 1620.26, "word": " it", "probability": 0.2073974609375}, {"start": 1620.26, "end": 1620.54, "word": " above", "probability": 0.361083984375}, {"start": 1620.54, "end": 1620.98, "word": " 10", "probability": 0.4541015625}, {"start": 1620.98, "end": 1621.46, "word": " cm", "probability": 0.4765625}, {"start": 1621.46, "end": 1621.84, "word": " 1", "probability": 0.1500244140625}, {"start": 1621.84, "end": 1622.32, "word": " mm", "probability": 0.623046875}, {"start": 1622.32, "end": 1622.5, "word": " which", "probability": 0.564453125}, {"start": 1622.5, "end": 1622.72, "word": " is", "probability": 0.89404296875}, {"start": 1622.72, "end": 1623.02, "word": " the", "probability": 0.461181640625}, {"start": 1623.02, "end": 1623.02, "word": " thickness", "probability": 0.62353515625}, {"start": 1623.02, "end": 1623.56, "word": " of", "probability": 0.564453125}, {"start": 1623.56, "end": 1623.6, "word": " the", "probability": 0.83349609375}, {"start": 1623.6, "end": 1623.8, "word": " lens", "probability": 0.475341796875}, {"start": 1623.8, "end": 1624.04, "word": " of", "probability": 0.201171875}, {"start": 1624.04, "end": 1624.18, "word": " course", "probability": 0.94873046875}, {"start": 1624.18, "end": 1624.42, "word": " we", "probability": 0.426513671875}, {"start": 1624.42, "end": 1624.58, "word": " make", "probability": 0.166748046875}, {"start": 1624.58, "end": 1624.84, "word": " sure", "probability": 0.92333984375}, {"start": 1624.84, "end": 1625.02, "word": " that", "probability": 0.80712890625}, {"start": 1625.02, "end": 1625.22, "word": " we", "probability": 0.85400390625}, {"start": 1625.22, "end": 1625.42, "word": " drew", "probability": 0.499755859375}, {"start": 1625.42, "end": 1625.64, "word": " it", "probability": 0.82080078125}, {"start": 1625.64, "end": 1625.7, "word": " in", "probability": 0.209716796875}, {"start": 1625.7, "end": 1626.04, "word": " a", "probability": 0.84912109375}, {"start": 1626.04, "end": 1626.08, "word": " very", "probability": 0.728515625}, {"start": 1626.08, "end": 1626.38, "word": " thick", "probability": 0.68115234375}, {"start": 1626.38, "end": 1626.5, "word": " way", "probability": 0.70361328125}, {"start": 1626.5, "end": 1626.9, "word": " to", "probability": 0.89794921875}, {"start": 1626.9, "end": 1627.32, "word": " clarify", "probability": 0.56298828125}, {"start": 1627.32, "end": 1627.88, "word": " the", "probability": 0.7978515625}, {"start": 1627.88, "end": 1628.2, "word": " drawings", "probability": 0.6494140625}, {"start": 1628.2, "end": 1628.86, "word": " okay", "probability": 0.16357421875}, {"start": 1628.86, "end": 1629.68, "word": " isn't", "probability": 0.59197998046875}, {"start": 1629.68, "end": 1630.06, "word": " 1", "probability": 0.394287109375}, {"start": 1630.06, "end": 1630.46, "word": " mm", "probability": 0.52001953125}, {"start": 1630.46, "end": 1630.6, "word": " a", "probability": 0.354736328125}, {"start": 1630.6, "end": 1630.92, "word": " distance?", "probability": 0.82861328125}, {"start": 1631.18, "end": 1631.36, "word": " of", "probability": 0.7578125}, {"start": 1631.36, "end": 1631.46, "word": " course", "probability": 0.95556640625}, {"start": 1631.46, "end": 1631.62, "word": " it's", "probability": 0.5106201171875}, {"start": 1631.62, "end": 1632.0, "word": " a", "probability": 0.86474609375}, {"start": 1632.0, "end": 1632.0, "word": " distance", "probability": 0.9423828125}, {"start": 1632.0, "end": 1632.52, "word": " a", "probability": 0.1666259765625}, {"start": 1632.52, "end": 1632.78, "word": " distance", "probability": 0.95458984375}, {"start": 1632.78, "end": 1632.94, "word": " in", "probability": 0.259765625}, {"start": 1632.94, "end": 1633.1, "word": " the", "probability": 0.89306640625}, {"start": 1633.1, "end": 1633.28, "word": " end", "probability": 0.9248046875}, {"start": 1633.28, "end": 1633.54, "word": " is", "probability": 0.62060546875}, {"start": 1633.54, "end": 1633.68, "word": " a", "probability": 0.81298828125}, {"start": 1633.68, "end": 1633.98, "word": " distance", "probability": 0.93896484375}, {"start": 1633.98, "end": 1634.24, "word": " no", "probability": 0.468017578125}, {"start": 1634.24, "end": 1634.32, "word": " matter", "probability": 0.84912109375}, {"start": 1634.32, "end": 1634.44, "word": " how", "probability": 0.86669921875}, {"start": 1634.44, "end": 1634.66, "word": " small", "probability": 0.77734375}, {"start": 1634.66, "end": 1635.1, "word": " it", "probability": 0.689453125}, {"start": 1635.1, "end": 1635.1, "word": " is", "probability": 0.83251953125}, {"start": 1635.1, "end": 1635.32, "word": " and", "probability": 0.83447265625}, {"start": 1635.32, "end": 1635.6, "word": " as", "probability": 0.54931640625}, {"start": 1635.6, "end": 1635.76, "word": " long", "probability": 0.7978515625}, {"start": 1635.76, "end": 1635.76, "word": " as", "probability": 0.96533203125}, {"start": 1635.76, "end": 1635.86, "word": " it's", "probability": 0.60546875}, {"start": 1635.86, "end": 1636.18, "word": " a", "probability": 0.9130859375}, {"start": 1636.18, "end": 1636.18, "word": " distance", "probability": 0.92236328125}, {"start": 1636.18, "end": 1636.36, "word": " no", "probability": 0.8095703125}, {"start": 1636.36, "end": 1636.48, "word": " matter", "probability": 0.85693359375}, {"start": 1636.48, "end": 1636.58, "word": " how", "probability": 0.93505859375}, {"start": 1636.58, "end": 1636.82, "word": " small", "probability": 0.93017578125}, {"start": 1636.82, "end": 1637.18, "word": " it", "probability": 0.90283203125}, {"start": 1637.18, "end": 1637.36, "word": " is", "probability": 0.92431640625}, {"start": 1637.36, "end": 1637.66, "word": " then", "probability": 0.3857421875}, {"start": 1637.66, "end": 1638.7, "word": " the", "probability": 0.83544921875}, {"start": 1638.7, "end": 1639.18, "word": " distance", "probability": 0.92333984375}, {"start": 1639.18, "end": 1639.72, "word": " that", "probability": 0.56298828125}, {"start": 1639.72, "end": 1640.2, "word": " the", "probability": 0.454345703125}, {"start": 1640.2, "end": 1640.42, "word": " light", "probability": 0.7529296875}, {"start": 1640.42, "end": 1640.42, "word": " cuts", "probability": 0.32177734375}, {"start": 1640.42, "end": 1640.42, "word": " has", "probability": 0.1832275390625}, {"start": 1640.42, "end": 1640.42, "word": " changed", "probability": 0.8974609375}, {"start": 1640.42, "end": 1640.64, "word": " from", "probability": 0.884765625}, {"start": 1640.64, "end": 1641.02, "word": " 10", "probability": 0.9296875}, {"start": 1641.02, "end": 1641.58, "word": " cm", "probability": 0.853515625}, {"start": 1641.58, "end": 1642.22, "word": " to", "probability": 0.96533203125}, {"start": 1642.22, "end": 1642.6, "word": " 10", "probability": 0.95458984375}, {"start": 1642.6, "end": 1643.12, "word": " cm", "probability": 0.5615234375}, {"start": 1643.12, "end": 1643.44, "word": " 1", "probability": 0.64111328125}, {"start": 1643.44, "end": 1643.92, "word": " mm", "probability": 0.806640625}], "temperature": 1.0}, {"id": 69, "seek": 166552, "start": 1645.02, "end": 1665.52, "text": "Ten centimeters and one millimeter. So, ten and one of ten centimeters. So, the divergence changed because the distance increased by one of ten centimeters. Of course, the power of the lens is divided into three parts. The power will go to the front surface", "tokens": [51, 268, 23300, 293, 472, 17942, 13, 407, 11, 2064, 293, 472, 295, 2064, 23300, 13, 407, 11, 264, 47387, 3105, 570, 264, 4560, 6505, 538, 472, 295, 2064, 23300, 13, 2720, 1164, 11, 264, 1347, 295, 264, 6765, 307, 6666, 666, 1045, 3166, 13, 440, 1347, 486, 352, 281, 264, 1868, 3753], "avg_logprob": -0.4429976956711875, "compression_ratio": 1.7248322147651007, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1645.02, "end": 1645.44, "word": "Ten", "probability": 0.646240234375}, {"start": 1645.44, "end": 1645.88, "word": " centimeters", "probability": 0.736328125}, {"start": 1645.88, "end": 1646.04, "word": " and", "probability": 0.327392578125}, {"start": 1646.04, "end": 1646.24, "word": " one", "probability": 0.89990234375}, {"start": 1646.24, "end": 1646.7, "word": " millimeter.", "probability": 0.5751953125}, {"start": 1646.96, "end": 1647.18, "word": " So,", "probability": 0.319580078125}, {"start": 1647.38, "end": 1647.54, "word": " ten", "probability": 0.59326171875}, {"start": 1647.54, "end": 1647.86, "word": " and", "probability": 0.70068359375}, {"start": 1647.86, "end": 1648.14, "word": " one", "probability": 0.91552734375}, {"start": 1648.14, "end": 1648.36, "word": " of", "probability": 0.4326171875}, {"start": 1648.36, "end": 1648.68, "word": " ten", "probability": 0.83544921875}, {"start": 1648.68, "end": 1649.34, "word": " centimeters.", "probability": 0.87109375}, {"start": 1649.76, "end": 1650.18, "word": " So,", "probability": 0.57275390625}, {"start": 1650.34, "end": 1650.92, "word": " the", "probability": 0.7255859375}, {"start": 1650.92, "end": 1651.36, "word": " divergence", "probability": 0.41796875}, {"start": 1651.36, "end": 1651.36, "word": " changed", "probability": 0.5849609375}, {"start": 1651.36, "end": 1652.54, "word": " because", "probability": 0.84423828125}, {"start": 1652.54, "end": 1653.42, "word": " the", "probability": 0.6484375}, {"start": 1653.42, "end": 1653.82, "word": " distance", "probability": 0.7587890625}, {"start": 1653.82, "end": 1654.34, "word": " increased", "probability": 0.71923828125}, {"start": 1654.34, "end": 1654.5, "word": " by", "probability": 0.79052734375}, {"start": 1654.5, "end": 1655.92, "word": " one", "probability": 0.8173828125}, {"start": 1655.92, "end": 1656.46, "word": " of", "probability": 0.53955078125}, {"start": 1656.46, "end": 1656.9, "word": " ten", "probability": 0.79541015625}, {"start": 1656.9, "end": 1658.02, "word": " centimeters.", "probability": 0.87255859375}, {"start": 1658.24, "end": 1658.56, "word": " Of", "probability": 0.8095703125}, {"start": 1658.56, "end": 1658.76, "word": " course,", "probability": 0.9560546875}, {"start": 1660.28, "end": 1660.38, "word": " the", "probability": 0.8388671875}, {"start": 1660.38, "end": 1660.58, "word": " power", "probability": 0.298095703125}, {"start": 1660.58, "end": 1660.78, "word": " of", "probability": 0.962890625}, {"start": 1660.78, "end": 1660.88, "word": " the", "probability": 0.6689453125}, {"start": 1660.88, "end": 1661.06, "word": " lens", "probability": 0.7216796875}, {"start": 1661.06, "end": 1661.4, "word": " is", "probability": 0.82763671875}, {"start": 1661.4, "end": 1661.72, "word": " divided", "probability": 0.771484375}, {"start": 1661.72, "end": 1661.9, "word": " into", "probability": 0.84228515625}, {"start": 1661.9, "end": 1662.18, "word": " three", "probability": 0.92138671875}, {"start": 1662.18, "end": 1662.6, "word": " parts.", "probability": 0.66064453125}, {"start": 1663.26, "end": 1663.32, "word": " The", "probability": 0.46826171875}, {"start": 1663.32, "end": 1663.66, "word": " power", "probability": 0.375244140625}, {"start": 1663.66, "end": 1664.18, "word": " will", "probability": 0.6337890625}, {"start": 1664.18, "end": 1664.46, "word": " go", "probability": 0.26220703125}, {"start": 1664.46, "end": 1664.64, "word": " to", "probability": 0.8291015625}, {"start": 1664.64, "end": 1664.78, "word": " the", "probability": 0.92138671875}, {"start": 1664.78, "end": 1665.34, "word": " front", "probability": 0.87109375}, {"start": 1665.34, "end": 1665.52, "word": " surface", "probability": 0.77783203125}], "temperature": 1.0}, {"id": 70, "seek": 168853, "start": 1666.79, "end": 1688.53, "text": "and a force that changes the polarity of the light inside the lens which is called the vergence on transfer and a force on the back surface which is called the back power, the back power of the lens, okay? So, the power of the lens, when we say single refracting service", "tokens": [474, 257, 3464, 300, 2962, 264, 12367, 507, 295, 264, 1442, 1854, 264, 6765, 597, 307, 1219, 264, 1306, 15260, 322, 5003, 293, 257, 3464, 322, 264, 646, 3753, 597, 307, 1219, 264, 646, 1347, 11, 264, 646, 1347, 295, 264, 6765, 11, 1392, 30, 407, 11, 264, 1347, 295, 264, 6765, 11, 562, 321, 584, 2167, 45353, 278, 2643], "avg_logprob": -0.5379098360655737, "compression_ratio": 1.7763157894736843, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 1666.79, "end": 1667.13, "word": "and", "probability": 0.2021484375}, {"start": 1667.13, "end": 1667.23, "word": " a", "probability": 0.37451171875}, {"start": 1667.23, "end": 1667.39, "word": " force", "probability": 0.50244140625}, {"start": 1667.39, "end": 1667.95, "word": " that", "probability": 0.284912109375}, {"start": 1667.95, "end": 1668.89, "word": " changes", "probability": 0.243408203125}, {"start": 1668.89, "end": 1669.39, "word": " the", "probability": 0.76318359375}, {"start": 1669.39, "end": 1670.13, "word": " polarity", "probability": 0.5037994384765625}, {"start": 1670.13, "end": 1670.47, "word": " of", "probability": 0.87255859375}, {"start": 1670.47, "end": 1670.63, "word": " the", "probability": 0.472412109375}, {"start": 1670.63, "end": 1670.83, "word": " light", "probability": 0.8369140625}, {"start": 1670.83, "end": 1671.29, "word": " inside", "probability": 0.748046875}, {"start": 1671.29, "end": 1671.51, "word": " the", "probability": 0.8759765625}, {"start": 1671.51, "end": 1671.85, "word": " lens", "probability": 0.73388671875}, {"start": 1671.85, "end": 1672.59, "word": " which", "probability": 0.286865234375}, {"start": 1672.59, "end": 1672.91, "word": " is", "probability": 0.61767578125}, {"start": 1672.91, "end": 1673.15, "word": " called", "probability": 0.79345703125}, {"start": 1673.15, "end": 1673.35, "word": " the", "probability": 0.32080078125}, {"start": 1673.35, "end": 1673.83, "word": " vergence", "probability": 0.5634765625}, {"start": 1673.83, "end": 1674.07, "word": " on", "probability": 0.7578125}, {"start": 1674.07, "end": 1674.73, "word": " transfer", "probability": 0.869140625}, {"start": 1674.73, "end": 1675.27, "word": " and", "probability": 0.68701171875}, {"start": 1675.27, "end": 1675.59, "word": " a", "probability": 0.736328125}, {"start": 1675.59, "end": 1675.59, "word": " force", "probability": 0.87451171875}, {"start": 1675.59, "end": 1675.77, "word": " on", "probability": 0.39404296875}, {"start": 1675.77, "end": 1675.87, "word": " the", "probability": 0.904296875}, {"start": 1675.87, "end": 1676.01, "word": " back", "probability": 0.6484375}, {"start": 1676.01, "end": 1676.57, "word": " surface", "probability": 0.5166015625}, {"start": 1676.57, "end": 1676.67, "word": " which", "probability": 0.59716796875}, {"start": 1676.67, "end": 1676.81, "word": " is", "probability": 0.88525390625}, {"start": 1676.81, "end": 1677.07, "word": " called", "probability": 0.87646484375}, {"start": 1677.07, "end": 1677.31, "word": " the", "probability": 0.8505859375}, {"start": 1677.31, "end": 1677.63, "word": " back", "probability": 0.8017578125}, {"start": 1677.63, "end": 1678.33, "word": " power,", "probability": 0.87158203125}, {"start": 1678.41, "end": 1678.61, "word": " the", "probability": 0.52587890625}, {"start": 1678.61, "end": 1678.97, "word": " back", "probability": 0.8173828125}, {"start": 1678.97, "end": 1679.57, "word": " power", "probability": 0.8779296875}, {"start": 1679.57, "end": 1680.05, "word": " of", "probability": 0.943359375}, {"start": 1680.05, "end": 1680.53, "word": " the", "probability": 0.916015625}, {"start": 1680.53, "end": 1680.91, "word": " lens,", "probability": 0.8330078125}, {"start": 1681.07, "end": 1681.45, "word": " okay?", "probability": 0.358154296875}, {"start": 1681.77, "end": 1681.89, "word": " So,", "probability": 0.3154296875}, {"start": 1682.37, "end": 1682.65, "word": " the", "probability": 0.75048828125}, {"start": 1682.65, "end": 1683.03, "word": " power", "probability": 0.77001953125}, {"start": 1683.03, "end": 1683.31, "word": " of", "probability": 0.96484375}, {"start": 1683.31, "end": 1683.59, "word": " the", "probability": 0.90087890625}, {"start": 1683.59, "end": 1683.95, "word": " lens,", "probability": 0.91650390625}, {"start": 1684.51, "end": 1686.21, "word": " when", "probability": 0.40625}, {"start": 1686.21, "end": 1686.47, "word": " we", "probability": 0.90771484375}, {"start": 1686.47, "end": 1686.67, "word": " say", "probability": 0.8974609375}, {"start": 1686.67, "end": 1687.23, "word": " single", "probability": 0.71142578125}, {"start": 1687.23, "end": 1687.95, "word": " refracting", "probability": 0.803466796875}, {"start": 1687.95, "end": 1688.53, "word": " service", "probability": 0.47216796875}], "temperature": 1.0}, {"id": 71, "seek": 170709, "start": 1689.63, "end": 1707.09, "text": "We say power and we stay silent. It is one power. The picture will be formed inside the glass. I have one surface, one surface. We say power and we stay silent. But when I have a lens to the front surface and the back surface, then the total power of the lens is equal to the power of", "tokens": [4360, 584, 1347, 293, 321, 1754, 12784, 13, 467, 307, 472, 1347, 13, 440, 3036, 486, 312, 8693, 1854, 264, 4276, 13, 286, 362, 472, 3753, 11, 472, 3753, 13, 492, 584, 1347, 293, 321, 1754, 12784, 13, 583, 562, 286, 362, 257, 6765, 281, 264, 1868, 3753, 293, 264, 646, 3753, 11, 550, 264, 3217, 1347, 295, 264, 6765, 307, 2681, 281, 264, 1347, 295], "avg_logprob": -0.39039178570704675, "compression_ratio": 1.8205128205128205, "no_speech_prob": 2.2649765014648438e-06, "words": [{"start": 1689.6299999999999, "end": 1690.11, "word": "We", "probability": 0.322998046875}, {"start": 1690.11, "end": 1690.33, "word": " say", "probability": 0.87158203125}, {"start": 1690.33, "end": 1690.63, "word": " power", "probability": 0.82861328125}, {"start": 1690.63, "end": 1690.81, "word": " and", "probability": 0.76953125}, {"start": 1690.81, "end": 1691.09, "word": " we", "probability": 0.4970703125}, {"start": 1691.09, "end": 1691.09, "word": " stay", "probability": 0.23486328125}, {"start": 1691.09, "end": 1691.31, "word": " silent.", "probability": 0.783203125}, {"start": 1691.63, "end": 1691.79, "word": " It", "probability": 0.75830078125}, {"start": 1691.79, "end": 1691.87, "word": " is", "probability": 0.4580078125}, {"start": 1691.87, "end": 1691.99, "word": " one", "probability": 0.76171875}, {"start": 1691.99, "end": 1692.31, "word": " power.", "probability": 0.8974609375}, {"start": 1692.83, "end": 1692.93, "word": " The", "probability": 0.76513671875}, {"start": 1692.93, "end": 1693.07, "word": " picture", "probability": 0.447509765625}, {"start": 1693.07, "end": 1693.25, "word": " will", "probability": 0.60791015625}, {"start": 1693.25, "end": 1693.39, "word": " be", "probability": 0.51513671875}, {"start": 1693.39, "end": 1693.65, "word": " formed", "probability": 0.385986328125}, {"start": 1693.65, "end": 1693.89, "word": " inside", "probability": 0.78515625}, {"start": 1693.89, "end": 1694.09, "word": " the", "probability": 0.84423828125}, {"start": 1694.09, "end": 1694.41, "word": " glass.", "probability": 0.59130859375}, {"start": 1694.61, "end": 1694.91, "word": " I", "probability": 0.92578125}, {"start": 1694.91, "end": 1695.13, "word": " have", "probability": 0.93896484375}, {"start": 1695.13, "end": 1695.79, "word": " one", "probability": 0.82275390625}, {"start": 1695.79, "end": 1695.79, "word": " surface,", "probability": 0.51806640625}, {"start": 1695.99, "end": 1696.73, "word": " one", "probability": 0.869140625}, {"start": 1696.73, "end": 1696.73, "word": " surface.", "probability": 0.8212890625}, {"start": 1696.97, "end": 1697.17, "word": " We", "probability": 0.9150390625}, {"start": 1697.17, "end": 1697.33, "word": " say", "probability": 0.9541015625}, {"start": 1697.33, "end": 1697.71, "word": " power", "probability": 0.8681640625}, {"start": 1697.71, "end": 1697.93, "word": " and", "probability": 0.9072265625}, {"start": 1697.93, "end": 1698.11, "word": " we", "probability": 0.88916015625}, {"start": 1698.11, "end": 1698.21, "word": " stay", "probability": 0.880859375}, {"start": 1698.21, "end": 1698.35, "word": " silent.", "probability": 0.9228515625}, {"start": 1698.63, "end": 1698.81, "word": " But", "probability": 0.8642578125}, {"start": 1698.81, "end": 1698.95, "word": " when", "probability": 0.44384765625}, {"start": 1698.95, "end": 1699.33, "word": " I", "probability": 0.9853515625}, {"start": 1699.33, "end": 1699.61, "word": " have", "probability": 0.94873046875}, {"start": 1699.61, "end": 1700.05, "word": " a", "probability": 0.93896484375}, {"start": 1700.05, "end": 1700.43, "word": " lens", "probability": 0.64794921875}, {"start": 1700.43, "end": 1701.01, "word": " to", "probability": 0.3125}, {"start": 1701.01, "end": 1701.17, "word": " the", "probability": 0.57568359375}, {"start": 1701.17, "end": 1701.67, "word": " front", "probability": 0.5400390625}, {"start": 1701.67, "end": 1701.77, "word": " surface", "probability": 0.50634765625}, {"start": 1701.77, "end": 1702.09, "word": " and", "probability": 0.9091796875}, {"start": 1702.09, "end": 1702.19, "word": " the", "probability": 0.427001953125}, {"start": 1702.19, "end": 1702.63, "word": " back", "probability": 0.615234375}, {"start": 1702.63, "end": 1702.77, "word": " surface,", "probability": 0.85400390625}, {"start": 1703.15, "end": 1703.49, "word": " then", "probability": 0.763671875}, {"start": 1703.49, "end": 1703.77, "word": " the", "probability": 0.8427734375}, {"start": 1703.77, "end": 1703.79, "word": " total", "probability": 0.88037109375}, {"start": 1703.79, "end": 1704.47, "word": " power", "probability": 0.86962890625}, {"start": 1704.47, "end": 1704.83, "word": " of", "probability": 0.94189453125}, {"start": 1704.83, "end": 1705.09, "word": " the", "probability": 0.83935546875}, {"start": 1705.09, "end": 1705.47, "word": " lens", "probability": 0.8828125}, {"start": 1705.47, "end": 1705.95, "word": " is", "probability": 0.41796875}, {"start": 1705.95, "end": 1706.29, "word": " equal", "probability": 0.76953125}, {"start": 1706.29, "end": 1706.41, "word": " to", "probability": 0.9716796875}, {"start": 1706.41, "end": 1706.47, "word": " the", "probability": 0.8203125}, {"start": 1706.47, "end": 1706.85, "word": " power", "probability": 0.859375}, {"start": 1706.85, "end": 1707.09, "word": " of", "probability": 0.95947265625}], "temperature": 1.0}, {"id": 72, "seek": 172476, "start": 1708.04, "end": 1724.76, "text": "the front service plus the power of the back service plus the power of the front service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of the back service plus the power of", "tokens": [3322, 1868, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 1868, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 1804, 264, 1347, 295], "avg_logprob": -0.20930556191338434, "compression_ratio": 18.37704918032787, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 1708.04, "end": 1708.26, "word": "the", "probability": 0.1298828125}, {"start": 1708.26, "end": 1708.58, "word": " front", "probability": 0.92236328125}, {"start": 1708.58, "end": 1709.22, "word": " service", "probability": 0.8505859375}, {"start": 1709.22, "end": 1710.26, "word": " plus", "probability": 0.447509765625}, {"start": 1710.26, "end": 1710.46, "word": " the", "probability": 0.498046875}, {"start": 1710.46, "end": 1710.78, "word": " power", "probability": 0.57568359375}, {"start": 1710.78, "end": 1711.06, "word": " of", "probability": 0.35546875}, {"start": 1711.06, "end": 1711.32, "word": " the", "probability": 0.630859375}, {"start": 1711.32, "end": 1711.76, "word": " back", "probability": 0.35302734375}, {"start": 1711.76, "end": 1712.12, "word": " service", "probability": 0.7861328125}, {"start": 1712.12, "end": 1712.78, "word": " plus", "probability": 0.1966552734375}, {"start": 1712.78, "end": 1712.86, "word": " the", "probability": 0.66015625}, {"start": 1712.86, "end": 1713.62, "word": " power", "probability": 0.5908203125}, {"start": 1713.62, "end": 1713.62, "word": " of", "probability": 0.8388671875}, {"start": 1713.62, "end": 1713.72, "word": " the", "probability": 0.7646484375}, {"start": 1713.72, "end": 1713.82, "word": " front", "probability": 0.141845703125}, {"start": 1713.82, "end": 1717.5, "word": " service", "probability": 0.54736328125}, {"start": 1717.5, "end": 1717.78, "word": " plus", "probability": 0.41650390625}, {"start": 1717.78, "end": 1717.78, "word": " the", "probability": 0.80322265625}, {"start": 1717.78, "end": 1717.78, "word": " power", "probability": 0.5283203125}, {"start": 1717.78, "end": 1717.78, "word": " of", "probability": 0.9423828125}, {"start": 1717.78, "end": 1717.78, "word": " the", "probability": 0.85888671875}, {"start": 1717.78, "end": 1717.78, "word": " back", "probability": 0.73583984375}, {"start": 1717.78, "end": 1717.78, "word": " service", "probability": 0.8740234375}, {"start": 1717.78, "end": 1717.78, "word": " plus", "probability": 0.2491455078125}, {"start": 1717.78, "end": 1717.78, "word": " the", "probability": 0.724609375}, {"start": 1717.78, "end": 1717.78, "word": " power", "probability": 0.63232421875}, {"start": 1717.78, "end": 1717.78, "word": " of", "probability": 0.9404296875}, {"start": 1717.78, "end": 1717.78, "word": " the", "probability": 0.845703125}, {"start": 1717.78, "end": 1717.78, "word": " back", "probability": 0.42919921875}, {"start": 1717.78, "end": 1717.78, "word": " service", "probability": 0.85791015625}, {"start": 1717.78, "end": 1717.78, "word": " plus", "probability": 0.2568359375}, {"start": 1717.78, "end": 1718.38, "word": " the", "probability": 0.7685546875}, {"start": 1718.38, "end": 1718.72, "word": " power", "probability": 0.68310546875}, {"start": 1718.72, "end": 1718.72, "word": " of", "probability": 0.94287109375}, {"start": 1718.72, "end": 1718.84, "word": " the", "probability": 0.865234375}, {"start": 1718.84, "end": 1719.1, "word": " back", "probability": 0.399658203125}, {"start": 1719.1, "end": 1719.38, "word": " service", "probability": 0.85986328125}, {"start": 1719.38, "end": 1719.38, "word": " plus", "probability": 0.3642578125}, {"start": 1719.38, "end": 1719.38, "word": " the", "probability": 0.84423828125}, {"start": 1719.38, "end": 1719.38, "word": " power", "probability": 0.6943359375}, {"start": 1719.38, "end": 1719.38, "word": " of", "probability": 0.95068359375}, {"start": 1719.38, "end": 1719.6, "word": " the", "probability": 0.88720703125}, {"start": 1719.6, "end": 1719.84, "word": " back", "probability": 0.57958984375}, {"start": 1719.84, "end": 1719.84, "word": " service", "probability": 0.86083984375}, {"start": 1719.84, "end": 1719.84, "word": " plus", "probability": 0.484375}, {"start": 1719.84, "end": 1719.84, "word": " the", "probability": 0.8828125}, {"start": 1719.84, "end": 1719.84, "word": " power", "probability": 0.75537109375}, {"start": 1719.84, "end": 1719.84, "word": " of", "probability": 0.95556640625}, {"start": 1719.84, "end": 1720.0, "word": " the", "probability": 0.90087890625}, {"start": 1720.0, "end": 1720.0, "word": " back", "probability": 0.7080078125}, {"start": 1720.0, "end": 1720.0, "word": " service", "probability": 0.8603515625}, {"start": 1720.0, "end": 1720.0, "word": " plus", "probability": 0.57763671875}, {"start": 1720.0, "end": 1720.0, "word": " the", "probability": 0.900390625}, {"start": 1720.0, "end": 1720.0, "word": " power", "probability": 0.7890625}, {"start": 1720.0, "end": 1720.0, "word": " of", "probability": 0.95947265625}, {"start": 1720.0, "end": 1720.04, "word": " the", "probability": 0.9091796875}, {"start": 1720.04, "end": 1720.04, "word": " back", "probability": 0.7685546875}, {"start": 1720.04, "end": 1720.04, "word": " service", "probability": 0.86083984375}, {"start": 1720.04, "end": 1720.04, "word": " plus", "probability": 0.646484375}, {"start": 1720.04, "end": 1720.04, "word": " the", "probability": 0.90869140625}, {"start": 1720.04, "end": 1720.04, "word": " power", "probability": 0.8017578125}, {"start": 1720.04, "end": 1720.04, "word": " of", "probability": 0.9619140625}, {"start": 1720.04, "end": 1720.18, "word": " the", "probability": 0.91650390625}, {"start": 1720.18, "end": 1720.72, "word": " back", "probability": 0.80224609375}, {"start": 1720.72, "end": 1721.02, "word": " service", "probability": 0.861328125}, {"start": 1721.02, "end": 1721.02, "word": " plus", "probability": 0.703125}, {"start": 1721.02, "end": 1722.14, "word": " the", "probability": 0.91455078125}, {"start": 1722.14, "end": 1722.4, "word": " power", "probability": 0.8134765625}, {"start": 1722.4, "end": 1722.78, "word": " of", "probability": 0.96435546875}, {"start": 1722.78, "end": 1722.88, "word": " the", "probability": 0.92041015625}, {"start": 1722.88, "end": 1723.18, "word": " back", "probability": 0.826171875}, {"start": 1723.18, "end": 1723.64, "word": " service", "probability": 0.86083984375}, {"start": 1723.64, "end": 1723.64, "word": " plus", "probability": 0.7490234375}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.91845703125}, {"start": 1723.64, "end": 1723.64, "word": " power", "probability": 0.82177734375}, {"start": 1723.64, "end": 1723.64, "word": " of", "probability": 0.96630859375}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.923828125}, {"start": 1723.64, "end": 1723.64, "word": " back", "probability": 0.83837890625}, {"start": 1723.64, "end": 1723.64, "word": " service", "probability": 0.86181640625}, {"start": 1723.64, "end": 1723.64, "word": " plus", "probability": 0.79150390625}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.9208984375}, {"start": 1723.64, "end": 1723.64, "word": " power", "probability": 0.83251953125}, {"start": 1723.64, "end": 1723.64, "word": " of", "probability": 0.9677734375}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.92724609375}, {"start": 1723.64, "end": 1723.64, "word": " back", "probability": 0.8486328125}, {"start": 1723.64, "end": 1723.64, "word": " service", "probability": 0.86328125}, {"start": 1723.64, "end": 1723.64, "word": " plus", "probability": 0.8232421875}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.92333984375}, {"start": 1723.64, "end": 1723.64, "word": " power", "probability": 0.84033203125}, {"start": 1723.64, "end": 1723.64, "word": " of", "probability": 0.96875}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.92822265625}, {"start": 1723.64, "end": 1723.64, "word": " back", "probability": 0.8544921875}, {"start": 1723.64, "end": 1723.64, "word": " service", "probability": 0.86474609375}, {"start": 1723.64, "end": 1723.64, "word": " plus", "probability": 0.84619140625}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.92529296875}, {"start": 1723.64, "end": 1723.64, "word": " power", "probability": 0.8486328125}, {"start": 1723.64, "end": 1723.64, "word": " of", "probability": 0.9697265625}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.9287109375}, {"start": 1723.64, "end": 1723.64, "word": " back", "probability": 0.8603515625}, {"start": 1723.64, "end": 1723.64, "word": " service", "probability": 0.86572265625}, {"start": 1723.64, "end": 1723.64, "word": " plus", "probability": 0.86279296875}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.92626953125}, {"start": 1723.64, "end": 1723.64, "word": " power", "probability": 0.85498046875}, {"start": 1723.64, "end": 1723.64, "word": " of", "probability": 0.970703125}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.93115234375}, {"start": 1723.64, "end": 1723.64, "word": " back", "probability": 0.86376953125}, {"start": 1723.64, "end": 1723.64, "word": " service", "probability": 0.86376953125}, {"start": 1723.64, "end": 1723.64, "word": " plus", "probability": 0.87451171875}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.927734375}, {"start": 1723.64, "end": 1723.64, "word": " power", "probability": 0.85888671875}, {"start": 1723.64, "end": 1723.64, "word": " of", "probability": 0.9716796875}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.93115234375}, {"start": 1723.64, "end": 1723.64, "word": " back", "probability": 0.869140625}, {"start": 1723.64, "end": 1723.64, "word": " service", "probability": 0.8623046875}, {"start": 1723.64, "end": 1723.64, "word": " plus", "probability": 0.884765625}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.9287109375}, {"start": 1723.64, "end": 1723.64, "word": " power", "probability": 0.86376953125}, {"start": 1723.64, "end": 1723.64, "word": " of", "probability": 0.97216796875}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.93115234375}, {"start": 1723.64, "end": 1723.64, "word": " back", "probability": 0.8720703125}, {"start": 1723.64, "end": 1723.64, "word": " service", "probability": 0.86083984375}, {"start": 1723.64, "end": 1723.64, "word": " plus", "probability": 0.89453125}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.92919921875}, {"start": 1723.64, "end": 1723.64, "word": " power", "probability": 0.865234375}, {"start": 1723.64, "end": 1723.64, "word": " of", "probability": 0.9736328125}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.9326171875}, {"start": 1723.64, "end": 1723.64, "word": " back", "probability": 0.8740234375}, {"start": 1723.64, "end": 1723.64, "word": " service", "probability": 0.85693359375}, {"start": 1723.64, "end": 1723.64, "word": " plus", "probability": 0.8994140625}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.9306640625}, {"start": 1723.64, "end": 1723.64, "word": " power", "probability": 0.8671875}, {"start": 1723.64, "end": 1723.64, "word": " of", "probability": 0.9736328125}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.9326171875}, {"start": 1723.64, "end": 1723.64, "word": " back", "probability": 0.87646484375}, {"start": 1723.64, "end": 1723.64, "word": " service", "probability": 0.85302734375}, {"start": 1723.64, "end": 1723.64, "word": " plus", "probability": 0.90576171875}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.9306640625}, {"start": 1723.64, "end": 1723.64, "word": " power", "probability": 0.8681640625}, {"start": 1723.64, "end": 1723.64, "word": " of", "probability": 0.9736328125}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.93212890625}, {"start": 1723.64, "end": 1723.64, "word": " back", "probability": 0.87841796875}, {"start": 1723.64, "end": 1723.64, "word": " service", "probability": 0.85009765625}, {"start": 1723.64, "end": 1723.64, "word": " plus", "probability": 0.9091796875}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.93115234375}, {"start": 1723.64, "end": 1723.64, "word": " power", "probability": 0.8681640625}, {"start": 1723.64, "end": 1723.64, "word": " of", "probability": 0.974609375}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.93310546875}, {"start": 1723.64, "end": 1723.64, "word": " back", "probability": 0.8798828125}, {"start": 1723.64, "end": 1723.64, "word": " service", "probability": 0.85009765625}, {"start": 1723.64, "end": 1723.64, "word": " plus", "probability": 0.912109375}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.93115234375}, {"start": 1723.64, "end": 1723.64, "word": " power", "probability": 0.8671875}, {"start": 1723.64, "end": 1723.64, "word": " of", "probability": 0.97509765625}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.9326171875}, {"start": 1723.64, "end": 1723.64, "word": " back", "probability": 0.8798828125}, {"start": 1723.64, "end": 1723.64, "word": " service", "probability": 0.845703125}, {"start": 1723.64, "end": 1723.64, "word": " plus", "probability": 0.91455078125}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.931640625}, {"start": 1723.64, "end": 1723.64, "word": " power", "probability": 0.8662109375}, {"start": 1723.64, "end": 1723.64, "word": " of", "probability": 0.9755859375}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.93212890625}, {"start": 1723.64, "end": 1723.64, "word": " back", "probability": 0.88134765625}, {"start": 1723.64, "end": 1723.64, "word": " service", "probability": 0.84814453125}, {"start": 1723.64, "end": 1723.64, "word": " plus", "probability": 0.9130859375}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.931640625}, {"start": 1723.64, "end": 1723.64, "word": " power", "probability": 0.86328125}, {"start": 1723.64, "end": 1723.64, "word": " of", "probability": 0.97607421875}, {"start": 1723.64, "end": 1723.64, "word": " the", "probability": 0.931640625}, {"start": 1723.64, "end": 1723.64, "word": " back", "probability": 0.88232421875}, {"start": 1723.64, "end": 1723.64, "word": " service", "probability": 0.84814453125}, {"start": 1723.64, "end": 1723.68, "word": " plus", "probability": 0.9111328125}, {"start": 1723.68, "end": 1723.68, "word": " the", "probability": 0.93115234375}, {"start": 1723.68, "end": 1723.68, "word": " power", "probability": 0.86181640625}, {"start": 1723.68, "end": 1723.68, "word": " of", "probability": 0.9755859375}, {"start": 1723.68, "end": 1723.68, "word": " the", "probability": 0.93212890625}, {"start": 1723.68, "end": 1723.68, "word": " back", "probability": 0.88330078125}, {"start": 1723.68, "end": 1723.68, "word": " service", "probability": 0.849609375}, {"start": 1723.68, "end": 1723.68, "word": " plus", "probability": 0.90771484375}, {"start": 1723.68, "end": 1723.68, "word": " the", "probability": 0.9306640625}, {"start": 1723.68, "end": 1723.68, "word": " power", "probability": 0.85791015625}, {"start": 1723.68, "end": 1723.68, "word": " of", "probability": 0.97607421875}, {"start": 1723.68, "end": 1723.68, "word": " the", "probability": 0.9306640625}, {"start": 1723.68, "end": 1723.68, "word": " back", "probability": 0.88232421875}, {"start": 1723.68, "end": 1723.68, "word": " service", "probability": 0.8505859375}, {"start": 1723.68, "end": 1723.68, "word": " plus", "probability": 0.90087890625}, {"start": 1723.68, "end": 1723.68, "word": " the", "probability": 0.9296875}, {"start": 1723.68, "end": 1723.68, "word": " power", "probability": 0.85205078125}, {"start": 1723.68, "end": 1723.68, "word": " of", "probability": 0.97607421875}, {"start": 1723.68, "end": 1723.68, "word": " the", "probability": 0.92919921875}, {"start": 1723.68, "end": 1723.68, "word": " back", "probability": 0.88134765625}, {"start": 1723.68, "end": 1723.68, "word": " service", "probability": 0.8505859375}, {"start": 1723.68, "end": 1723.68, "word": " plus", "probability": 0.890625}, {"start": 1723.68, "end": 1723.68, "word": " the", "probability": 0.92919921875}, {"start": 1723.68, "end": 1723.68, "word": " power", "probability": 0.84619140625}, {"start": 1723.68, "end": 1723.68, "word": " of", "probability": 0.97509765625}, {"start": 1723.68, "end": 1723.68, "word": " the", "probability": 0.9267578125}, {"start": 1723.68, "end": 1723.68, "word": " back", "probability": 0.87890625}, {"start": 1723.68, "end": 1723.68, "word": " service", "probability": 0.85009765625}, {"start": 1723.68, "end": 1723.86, "word": " plus", "probability": 0.876953125}, {"start": 1723.86, "end": 1723.86, "word": " the", "probability": 0.927734375}, {"start": 1723.86, "end": 1723.86, "word": " power", "probability": 0.8408203125}, {"start": 1723.86, "end": 1723.86, "word": " of", "probability": 0.9755859375}, {"start": 1723.86, "end": 1723.86, "word": " the", "probability": 0.92578125}, {"start": 1723.86, "end": 1723.86, "word": " back", "probability": 0.876953125}, {"start": 1723.86, "end": 1723.86, "word": " service", "probability": 0.8486328125}, {"start": 1723.86, "end": 1723.86, "word": " plus", "probability": 0.8583984375}, {"start": 1723.86, "end": 1723.86, "word": " the", "probability": 0.9267578125}, {"start": 1723.86, "end": 1723.86, "word": " power", "probability": 0.833984375}, {"start": 1723.86, "end": 1723.86, "word": " of", "probability": 0.974609375}, {"start": 1723.86, "end": 1723.86, "word": " the", "probability": 0.9228515625}, {"start": 1723.86, "end": 1723.86, "word": " back", "probability": 0.873046875}, {"start": 1723.86, "end": 1723.86, "word": " service", "probability": 0.8505859375}, {"start": 1723.86, "end": 1723.86, "word": " plus", "probability": 0.8369140625}, {"start": 1723.86, "end": 1723.86, "word": " the", "probability": 0.9248046875}, {"start": 1723.86, "end": 1723.86, "word": " power", "probability": 0.82470703125}, {"start": 1723.86, "end": 1723.86, "word": " of", "probability": 0.974609375}, {"start": 1723.86, "end": 1723.86, "word": " the", "probability": 0.9189453125}, {"start": 1723.86, "end": 1723.86, "word": " back", "probability": 0.86474609375}, {"start": 1723.86, "end": 1723.86, "word": " service", "probability": 0.8525390625}, {"start": 1723.86, "end": 1724.1, "word": " plus", "probability": 0.8193359375}, {"start": 1724.1, "end": 1724.6, "word": " the", "probability": 0.92333984375}, {"start": 1724.6, "end": 1724.64, "word": " power", "probability": 0.8232421875}, {"start": 1724.64, "end": 1724.76, "word": " of", "probability": 0.97412109375}], "temperature": 1.0}, {"id": 73, "seek": 174876, "start": 1728.52, "end": 1748.76, "text": "divergence continues to change as the light moves from the front to back surface this is known as divergence change on transfer", "tokens": [67, 1837, 15260, 6515, 281, 1319, 382, 264, 1442, 6067, 490, 264, 1868, 281, 646, 3753, 341, 307, 2570, 382, 47387, 1319, 322, 5003], "avg_logprob": -0.268125, "compression_ratio": 1.3804347826086956, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1728.52, "end": 1729.24, "word": "divergence", "probability": 0.75}, {"start": 1729.24, "end": 1729.86, "word": " continues", "probability": 0.87744140625}, {"start": 1729.86, "end": 1730.22, "word": " to", "probability": 0.9677734375}, {"start": 1730.22, "end": 1730.74, "word": " change", "probability": 0.90087890625}, {"start": 1730.74, "end": 1731.04, "word": " as", "probability": 0.94140625}, {"start": 1731.04, "end": 1731.26, "word": " the", "probability": 0.90966796875}, {"start": 1731.26, "end": 1731.5, "word": " light", "probability": 0.8544921875}, {"start": 1731.5, "end": 1732.04, "word": " moves", "probability": 0.89453125}, {"start": 1732.04, "end": 1732.38, "word": " from", "probability": 0.88427734375}, {"start": 1732.38, "end": 1732.66, "word": " the", "probability": 0.86767578125}, {"start": 1732.66, "end": 1732.94, "word": " front", "probability": 0.96337890625}, {"start": 1732.94, "end": 1733.18, "word": " to", "probability": 0.96728515625}, {"start": 1733.18, "end": 1733.46, "word": " back", "probability": 0.63916015625}, {"start": 1733.46, "end": 1734.02, "word": " surface", "probability": 0.7216796875}, {"start": 1734.02, "end": 1734.68, "word": " this", "probability": 0.275146484375}, {"start": 1734.68, "end": 1745.62, "word": " is", "probability": 0.93994140625}, {"start": 1745.62, "end": 1746.02, "word": " known", "probability": 0.7021484375}, {"start": 1746.02, "end": 1746.54, "word": " as", "probability": 0.96630859375}, {"start": 1746.54, "end": 1747.1, "word": " divergence", "probability": 0.6279296875}, {"start": 1747.1, "end": 1747.88, "word": " change", "probability": 0.80615234375}, {"start": 1747.88, "end": 1748.1, "word": " on", "probability": 0.8095703125}, {"start": 1748.1, "end": 1748.76, "word": " transfer", "probability": 0.64013671875}], "temperature": 1.0}, {"id": 74, "seek": 178237, "start": 1776.29, "end": 1782.37, "text": "Lensmakers equation can be written as N over O minus N over O plus", "tokens": [43, 694, 15870, 5367, 393, 312, 3720, 382, 426, 670, 422, 3175, 426, 670, 422, 1804], "avg_logprob": -0.6116727941176471, "compression_ratio": 1.0476190476190477, "no_speech_prob": 0.0, "words": [{"start": 1776.29, "end": 1776.99, "word": "Lensmakers", "probability": 0.3275146484375}, {"start": 1776.99, "end": 1777.59, "word": " equation", "probability": 0.82470703125}, {"start": 1777.59, "end": 1777.87, "word": " can", "probability": 0.214599609375}, {"start": 1777.87, "end": 1778.21, "word": " be", "probability": 0.912109375}, {"start": 1778.21, "end": 1778.47, "word": " written", "probability": 0.78564453125}, {"start": 1778.47, "end": 1779.15, "word": " as", "probability": 0.85595703125}, {"start": 1779.15, "end": 1779.41, "word": " N", "probability": 0.3173828125}, {"start": 1779.41, "end": 1779.63, "word": " over", "probability": 0.070068359375}, {"start": 1779.63, "end": 1779.81, "word": " O", "probability": 0.9580078125}, {"start": 1779.81, "end": 1780.61, "word": " minus", "probability": 0.353271484375}, {"start": 1780.61, "end": 1781.25, "word": " N", "probability": 0.74462890625}, {"start": 1781.25, "end": 1781.47, "word": " over", "probability": 0.8681640625}, {"start": 1781.47, "end": 1781.83, "word": " O", "probability": 0.96923828125}, {"start": 1781.83, "end": 1782.37, "word": " plus", "probability": 0.7841796875}], "temperature": 1.0}, {"id": 75, "seek": 179913, "start": 1783.13, "end": 1799.13, "text": "الان بدنا نفسم لما بقولنا single refracting surface، بكنا نقول ناقص N على O زائد ال power يساوي Uncharted على I، الان كلمة ال power بدنا نجسمها لتلت أقسام، كأنه بنقول للعدسة ذات السطحين جسم قوتك", "tokens": [6027, 7649, 47525, 8315, 8717, 36178, 2304, 5296, 15042, 4724, 39648, 8315, 2167, 45353, 278, 3753, 12399, 4724, 4117, 8315, 8717, 39648, 8717, 995, 4587, 9381, 426, 15844, 422, 30767, 16373, 3215, 2423, 1347, 7251, 3794, 995, 45865, 1156, 339, 47350, 15844, 286, 12399, 2423, 7649, 9122, 19528, 3660, 2423, 1347, 47525, 8315, 8717, 7435, 38251, 11296, 5296, 2655, 1211, 2655, 5551, 4587, 3794, 10943, 12399, 9122, 33456, 3224, 44945, 39648, 24976, 22488, 3794, 3660, 29910, 9307, 21136, 9566, 5016, 9957, 10874, 38251, 12174, 35473, 4117], "avg_logprob": -0.25161637040390367, "compression_ratio": 1.5247524752475248, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 1783.13, "end": 1783.47, "word": "الان", "probability": 0.4935302734375}, {"start": 1783.47, "end": 1783.73, "word": " بدنا", "probability": 0.9755859375}, {"start": 1783.73, "end": 1784.21, "word": " نفسم", "probability": 0.7389322916666666}, {"start": 1784.21, "end": 1784.85, "word": " لما", "probability": 0.816162109375}, {"start": 1784.85, "end": 1785.21, "word": " بقولنا", "probability": 0.7957356770833334}, {"start": 1785.21, "end": 1785.51, "word": " single", "probability": 0.67236328125}, {"start": 1785.51, "end": 1786.11, "word": " refracting", "probability": 0.857177734375}, {"start": 1786.11, "end": 1786.57, "word": " surface،", "probability": 0.47259521484375}, {"start": 1786.57, "end": 1786.85, "word": " بكنا", "probability": 0.5162760416666666}, {"start": 1786.85, "end": 1787.07, "word": " نقول", "probability": 0.854248046875}, {"start": 1787.07, "end": 1787.57, "word": " ناقص", "probability": 0.8624267578125}, {"start": 1787.57, "end": 1787.81, "word": " N", "probability": 0.50537109375}, {"start": 1787.81, "end": 1788.01, "word": " على", "probability": 0.75146484375}, {"start": 1788.01, "end": 1788.33, "word": " O", "probability": 0.97509765625}, {"start": 1788.33, "end": 1788.79, "word": " زائد", "probability": 0.8430989583333334}, {"start": 1788.79, "end": 1788.95, "word": " ال", "probability": 0.96533203125}, {"start": 1788.95, "end": 1789.23, "word": " power", "probability": 0.857421875}, {"start": 1789.23, "end": 1789.73, "word": " يساوي", "probability": 0.9246826171875}, {"start": 1789.73, "end": 1790.19, "word": " Uncharted", "probability": 0.5246988932291666}, {"start": 1790.19, "end": 1790.43, "word": " على", "probability": 0.88671875}, {"start": 1790.43, "end": 1790.87, "word": " I،", "probability": 0.71435546875}, {"start": 1790.87, "end": 1791.35, "word": " الان", "probability": 0.771240234375}, {"start": 1791.35, "end": 1791.81, "word": " كلمة", "probability": 0.9820963541666666}, {"start": 1791.81, "end": 1791.95, "word": " ال", "probability": 0.97705078125}, {"start": 1791.95, "end": 1792.23, "word": " power", "probability": 0.904296875}, {"start": 1792.23, "end": 1792.53, "word": " بدنا", "probability": 0.84521484375}, {"start": 1792.53, "end": 1793.05, "word": " نجسمها", "probability": 0.9697265625}, {"start": 1793.05, "end": 1793.51, "word": " لتلت", "probability": 0.78204345703125}, {"start": 1793.51, "end": 1794.03, "word": " أقسام،", "probability": 0.82626953125}, {"start": 1794.03, "end": 1794.61, "word": " كأنه", "probability": 0.7734375}, {"start": 1794.61, "end": 1795.05, "word": " بنقول", "probability": 0.7335205078125}, {"start": 1795.05, "end": 1795.85, "word": " للعدسة", "probability": 0.879150390625}, {"start": 1795.85, "end": 1796.57, "word": " ذات", "probability": 0.783447265625}, {"start": 1796.57, "end": 1797.37, "word": " السطحين", "probability": 0.8621826171875}, {"start": 1797.37, "end": 1798.33, "word": " جسم", "probability": 0.8837890625}, {"start": 1798.33, "end": 1799.13, "word": " قوتك", "probability": 0.9913736979166666}], "temperature": 1.0}, {"id": 76, "seek": 181986, "start": 1814.06, "end": 1819.86, "text": "The lens makers equation is equal to negative N over O", "tokens": [2278, 40116, 82, 19323, 5367, 307, 2681, 281, 3671, 426, 670, 422], "avg_logprob": -0.7974759798783523, "compression_ratio": 0.9642857142857143, "no_speech_prob": 1.1920928955078125e-06, "words": [{"start": 1814.0600000000002, "end": 1814.9, "word": "The", "probability": 0.2381591796875}, {"start": 1814.9, "end": 1815.74, "word": " lens", "probability": 0.335906982421875}, {"start": 1815.74, "end": 1816.16, "word": " makers", "probability": 0.401611328125}, {"start": 1816.16, "end": 1816.86, "word": " equation", "probability": 0.9345703125}, {"start": 1816.86, "end": 1817.68, "word": " is", "probability": 0.373779296875}, {"start": 1817.68, "end": 1818.02, "word": " equal", "probability": 0.330078125}, {"start": 1818.02, "end": 1818.48, "word": " to", "probability": 0.8037109375}, {"start": 1818.48, "end": 1818.88, "word": " negative", "probability": 0.5771484375}, {"start": 1818.88, "end": 1819.3, "word": " N", "probability": 0.419189453125}, {"start": 1819.3, "end": 1819.52, "word": " over", "probability": 0.3720703125}, {"start": 1819.52, "end": 1819.86, "word": " O", "probability": 0.896484375}], "temperature": 1.0}, {"id": 77, "seek": 183997, "start": 1820.25, "end": 1839.97, "text": "plus the power of the front service of the lens plus the power of the transfer plus the power of the back service is equal to the unconditional on a these are all three we can shorten them in the word power but it will be more precise minus n on a plus the power of the front", "tokens": [18954, 264, 1347, 295, 264, 1868, 2643, 295, 264, 6765, 1804, 264, 1347, 295, 264, 5003, 1804, 264, 1347, 295, 264, 646, 2643, 307, 2681, 281, 264, 47916, 322, 257, 613, 366, 439, 1045, 321, 393, 39632, 552, 294, 264, 1349, 1347, 457, 309, 486, 312, 544, 13600, 3175, 297, 322, 257, 1804, 264, 1347, 295, 264, 1868], "avg_logprob": -0.4819915294647217, "compression_ratio": 1.9642857142857142, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 1820.25, "end": 1820.83, "word": "plus", "probability": 0.06768798828125}, {"start": 1820.83, "end": 1821.05, "word": " the", "probability": 0.427734375}, {"start": 1821.05, "end": 1821.35, "word": " power", "probability": 0.6181640625}, {"start": 1821.35, "end": 1821.57, "word": " of", "probability": 0.74267578125}, {"start": 1821.57, "end": 1821.77, "word": " the", "probability": 0.619140625}, {"start": 1821.77, "end": 1822.23, "word": " front", "probability": 0.89306640625}, {"start": 1822.23, "end": 1822.97, "word": " service", "probability": 0.309814453125}, {"start": 1822.97, "end": 1823.17, "word": " of", "probability": 0.450927734375}, {"start": 1823.17, "end": 1823.43, "word": " the", "probability": 0.701171875}, {"start": 1823.43, "end": 1823.69, "word": " lens", "probability": 0.890625}, {"start": 1823.69, "end": 1823.89, "word": " plus", "probability": 0.708984375}, {"start": 1823.89, "end": 1824.11, "word": " the", "probability": 0.88623046875}, {"start": 1824.11, "end": 1824.41, "word": " power", "probability": 0.78515625}, {"start": 1824.41, "end": 1824.61, "word": " of", "probability": 0.95458984375}, {"start": 1824.61, "end": 1824.81, "word": " the", "probability": 0.724609375}, {"start": 1824.81, "end": 1825.33, "word": " transfer", "probability": 0.81884765625}, {"start": 1825.33, "end": 1826.33, "word": " plus", "probability": 0.8349609375}, {"start": 1826.33, "end": 1826.97, "word": " the", "probability": 0.90869140625}, {"start": 1826.97, "end": 1827.35, "word": " power", "probability": 0.80859375}, {"start": 1827.35, "end": 1827.73, "word": " of", "probability": 0.9638671875}, {"start": 1827.73, "end": 1828.21, "word": " the", "probability": 0.87744140625}, {"start": 1828.21, "end": 1828.51, "word": " back", "probability": 0.796875}, {"start": 1828.51, "end": 1829.09, "word": " service", "probability": 0.880859375}, {"start": 1829.09, "end": 1829.49, "word": " is", "probability": 0.149169921875}, {"start": 1829.49, "end": 1829.85, "word": " equal", "probability": 0.77587890625}, {"start": 1829.85, "end": 1829.99, "word": " to", "probability": 0.9609375}, {"start": 1829.99, "end": 1829.99, "word": " the", "probability": 0.357421875}, {"start": 1829.99, "end": 1830.35, "word": " unconditional", "probability": 0.392578125}, {"start": 1830.35, "end": 1830.73, "word": " on", "probability": 0.1790771484375}, {"start": 1830.73, "end": 1830.95, "word": " a", "probability": 0.3408203125}, {"start": 1830.95, "end": 1831.65, "word": " these", "probability": 0.308349609375}, {"start": 1831.65, "end": 1831.97, "word": " are", "probability": 0.6962890625}, {"start": 1831.97, "end": 1832.09, "word": " all", "probability": 0.75146484375}, {"start": 1832.09, "end": 1832.69, "word": " three", "probability": 0.6328125}, {"start": 1832.69, "end": 1833.19, "word": " we", "probability": 0.378173828125}, {"start": 1833.19, "end": 1833.53, "word": " can", "probability": 0.880859375}, {"start": 1833.53, "end": 1833.93, "word": " shorten", "probability": 0.482421875}, {"start": 1833.93, "end": 1834.11, "word": " them", "probability": 0.845703125}, {"start": 1834.11, "end": 1834.21, "word": " in", "probability": 0.5791015625}, {"start": 1834.21, "end": 1834.35, "word": " the", "probability": 0.671875}, {"start": 1834.35, "end": 1834.55, "word": " word", "probability": 0.89306640625}, {"start": 1834.55, "end": 1835.05, "word": " power", "probability": 0.8759765625}, {"start": 1835.05, "end": 1835.51, "word": " but", "probability": 0.6376953125}, {"start": 1835.51, "end": 1835.77, "word": " it", "probability": 0.32958984375}, {"start": 1835.77, "end": 1836.01, "word": " will", "probability": 0.68896484375}, {"start": 1836.01, "end": 1836.31, "word": " be", "probability": 0.84375}, {"start": 1836.31, "end": 1836.95, "word": " more", "probability": 0.5537109375}, {"start": 1836.95, "end": 1837.23, "word": " precise", "probability": 0.2763671875}, {"start": 1837.23, "end": 1837.63, "word": " minus", "probability": 0.259765625}, {"start": 1837.63, "end": 1838.03, "word": " n", "probability": 0.7099609375}, {"start": 1838.03, "end": 1838.21, "word": " on", "probability": 0.5751953125}, {"start": 1838.21, "end": 1838.41, "word": " a", "probability": 0.548828125}, {"start": 1838.41, "end": 1838.67, "word": " plus", "probability": 0.9130859375}, {"start": 1838.67, "end": 1838.87, "word": " the", "probability": 0.857421875}, {"start": 1838.87, "end": 1839.15, "word": " power", "probability": 0.83203125}, {"start": 1839.15, "end": 1839.33, "word": " of", "probability": 0.95947265625}, {"start": 1839.33, "end": 1839.61, "word": " the", "probability": 0.88818359375}, {"start": 1839.61, "end": 1839.97, "word": " front", "probability": 0.95166015625}], "temperature": 1.0}, {"id": 78, "seek": 185745, "start": 1840.37, "end": 1857.45, "text": "plus the power of the transfer plus the power of the back service As if we say, you will get a fluctuation from the object, the amount of fluctuation or the reduced variance of the light that comes from the object is equal to minus N over O", "tokens": [18954, 264, 1347, 295, 264, 5003, 1804, 264, 1347, 295, 264, 646, 2643, 1018, 498, 321, 584, 11, 291, 486, 483, 257, 23448, 16073, 490, 264, 2657, 11, 264, 2372, 295, 23448, 16073, 420, 264, 9212, 21977, 295, 264, 1442, 300, 1487, 490, 264, 2657, 307, 2681, 281, 3175, 426, 670, 422], "avg_logprob": -0.5277122596524796, "compression_ratio": 1.6326530612244898, "no_speech_prob": 0.0, "words": [{"start": 1840.37, "end": 1840.77, "word": "plus", "probability": 0.11175537109375}, {"start": 1840.77, "end": 1841.01, "word": " the", "probability": 0.412353515625}, {"start": 1841.01, "end": 1841.31, "word": " power", "probability": 0.68359375}, {"start": 1841.31, "end": 1841.61, "word": " of", "probability": 0.8349609375}, {"start": 1841.61, "end": 1841.83, "word": " the", "probability": 0.299072265625}, {"start": 1841.83, "end": 1842.99, "word": " transfer", "probability": 0.5068359375}, {"start": 1842.99, "end": 1843.67, "word": " plus", "probability": 0.658203125}, {"start": 1843.67, "end": 1843.97, "word": " the", "probability": 0.88671875}, {"start": 1843.97, "end": 1844.31, "word": " power", "probability": 0.7880859375}, {"start": 1844.31, "end": 1845.03, "word": " of", "probability": 0.9619140625}, {"start": 1845.03, "end": 1845.41, "word": " the", "probability": 0.77001953125}, {"start": 1845.41, "end": 1845.73, "word": " back", "probability": 0.79443359375}, {"start": 1845.73, "end": 1846.23, "word": " service", "probability": 0.82177734375}, {"start": 1846.23, "end": 1846.65, "word": " As", "probability": 0.1295166015625}, {"start": 1846.65, "end": 1846.89, "word": " if", "probability": 0.857421875}, {"start": 1846.89, "end": 1847.05, "word": " we", "probability": 0.64404296875}, {"start": 1847.05, "end": 1847.39, "word": " say,", "probability": 0.6181640625}, {"start": 1847.81, "end": 1847.87, "word": " you", "probability": 0.06842041015625}, {"start": 1847.87, "end": 1848.91, "word": " will", "probability": 0.47900390625}, {"start": 1848.91, "end": 1849.33, "word": " get", "probability": 0.53662109375}, {"start": 1849.33, "end": 1849.51, "word": " a", "probability": 0.409912109375}, {"start": 1849.51, "end": 1849.93, "word": " fluctuation", "probability": 0.6639404296875}, {"start": 1849.93, "end": 1850.11, "word": " from", "probability": 0.57275390625}, {"start": 1850.11, "end": 1850.27, "word": " the", "probability": 0.87353515625}, {"start": 1850.27, "end": 1850.69, "word": " object,", "probability": 0.96826171875}, {"start": 1850.97, "end": 1851.13, "word": " the", "probability": 0.75244140625}, {"start": 1851.13, "end": 1851.41, "word": " amount", "probability": 0.447998046875}, {"start": 1851.41, "end": 1851.79, "word": " of", "probability": 0.93994140625}, {"start": 1851.79, "end": 1852.31, "word": " fluctuation", "probability": 0.87939453125}, {"start": 1852.31, "end": 1852.59, "word": " or", "probability": 0.71923828125}, {"start": 1852.59, "end": 1852.73, "word": " the", "probability": 0.66845703125}, {"start": 1852.73, "end": 1853.37, "word": " reduced", "probability": 0.8115234375}, {"start": 1853.37, "end": 1853.95, "word": " variance", "probability": 0.271484375}, {"start": 1853.95, "end": 1854.21, "word": " of", "probability": 0.90185546875}, {"start": 1854.21, "end": 1854.39, "word": " the", "probability": 0.78466796875}, {"start": 1854.39, "end": 1854.63, "word": " light", "probability": 0.89599609375}, {"start": 1854.63, "end": 1854.79, "word": " that", "probability": 0.417236328125}, {"start": 1854.79, "end": 1854.99, "word": " comes", "probability": 0.654296875}, {"start": 1854.99, "end": 1855.11, "word": " from", "probability": 0.86962890625}, {"start": 1855.11, "end": 1855.23, "word": " the", "probability": 0.9111328125}, {"start": 1855.23, "end": 1855.53, "word": " object", "probability": 0.9716796875}, {"start": 1855.53, "end": 1855.73, "word": " is", "probability": 0.56494140625}, {"start": 1855.73, "end": 1855.95, "word": " equal", "probability": 0.55615234375}, {"start": 1855.95, "end": 1856.07, "word": " to", "probability": 0.92431640625}, {"start": 1856.07, "end": 1856.33, "word": " minus", "probability": 0.44482421875}, {"start": 1856.33, "end": 1856.97, "word": " N", "probability": 0.25830078125}, {"start": 1856.97, "end": 1857.21, "word": " over", "probability": 0.3349609375}, {"start": 1857.21, "end": 1857.45, "word": " O", "probability": 0.96435546875}], "temperature": 1.0}, {"id": 79, "seek": 188045, "start": 1857.95, "end": 1880.45, "text": "It will receive the front surface of the lens with a force equal to the front surface force. And we said that the force of the front surface varies according to the amount of charge or amplitude. Then, after leaving the front surface, the lens will send a part of its force to transfer the light and change the amplitude of the light from the front surface to the back surface.", "tokens": [3522, 486, 4774, 264, 1868, 3753, 295, 264, 6765, 365, 257, 3464, 2681, 281, 264, 1868, 3753, 3464, 13, 400, 321, 848, 300, 264, 3464, 295, 264, 1868, 3753, 21716, 4650, 281, 264, 2372, 295, 4602, 420, 27433, 13, 1396, 11, 934, 5012, 264, 1868, 3753, 11, 264, 6765, 486, 2845, 257, 644, 295, 1080, 3464, 281, 5003, 264, 1442, 293, 1319, 264, 27433, 295, 264, 1442, 490, 264, 1868, 3753, 281, 264, 646, 3753, 13], "avg_logprob": -0.48336039889942517, "compression_ratio": 1.9947089947089947, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1857.95, "end": 1858.07, "word": "It", "probability": 0.142333984375}, {"start": 1858.07, "end": 1858.25, "word": " will", "probability": 0.73974609375}, {"start": 1858.25, "end": 1858.67, "word": " receive", "probability": 0.5068359375}, {"start": 1858.67, "end": 1859.05, "word": " the", "probability": 0.59716796875}, {"start": 1859.05, "end": 1859.79, "word": " front", "probability": 0.494873046875}, {"start": 1859.79, "end": 1859.79, "word": " surface", "probability": 0.62255859375}, {"start": 1859.79, "end": 1860.41, "word": " of", "probability": 0.4794921875}, {"start": 1860.41, "end": 1860.53, "word": " the", "probability": 0.87109375}, {"start": 1860.53, "end": 1860.89, "word": " lens", "probability": 0.63623046875}, {"start": 1860.89, "end": 1861.73, "word": " with", "probability": 0.46630859375}, {"start": 1861.73, "end": 1861.93, "word": " a", "probability": 0.5859375}, {"start": 1861.93, "end": 1862.11, "word": " force", "probability": 0.736328125}, {"start": 1862.11, "end": 1862.67, "word": " equal", "probability": 0.486572265625}, {"start": 1862.67, "end": 1862.83, "word": " to", "probability": 0.9599609375}, {"start": 1862.83, "end": 1862.91, "word": " the", "probability": 0.8203125}, {"start": 1862.91, "end": 1863.11, "word": " front", "probability": 0.49755859375}, {"start": 1863.11, "end": 1863.49, "word": " surface", "probability": 0.80615234375}, {"start": 1863.49, "end": 1863.99, "word": " force.", "probability": 0.4541015625}, {"start": 1864.13, "end": 1864.21, "word": " And", "probability": 0.1851806640625}, {"start": 1864.21, "end": 1864.21, "word": " we", "probability": 0.671875}, {"start": 1864.21, "end": 1864.43, "word": " said", "probability": 0.734375}, {"start": 1864.43, "end": 1864.57, "word": " that", "probability": 0.7265625}, {"start": 1864.57, "end": 1864.59, "word": " the", "probability": 0.88037109375}, {"start": 1864.59, "end": 1864.71, "word": " force", "probability": 0.281494140625}, {"start": 1864.71, "end": 1864.87, "word": " of", "probability": 0.86376953125}, {"start": 1864.87, "end": 1864.95, "word": " the", "probability": 0.90576171875}, {"start": 1864.95, "end": 1865.05, "word": " front", "probability": 0.87890625}, {"start": 1865.05, "end": 1865.13, "word": " surface", "probability": 0.80908203125}, {"start": 1865.13, "end": 1866.17, "word": " varies", "probability": 0.1942138671875}, {"start": 1866.17, "end": 1866.57, "word": " according", "probability": 0.517578125}, {"start": 1866.57, "end": 1866.79, "word": " to", "probability": 0.97216796875}, {"start": 1866.79, "end": 1866.79, "word": " the", "probability": 0.8251953125}, {"start": 1866.79, "end": 1867.05, "word": " amount", "probability": 0.525390625}, {"start": 1867.05, "end": 1867.33, "word": " of", "probability": 0.9658203125}, {"start": 1867.33, "end": 1867.57, "word": " charge", "probability": 0.08935546875}, {"start": 1867.57, "end": 1867.83, "word": " or", "probability": 0.84375}, {"start": 1867.83, "end": 1868.27, "word": " amplitude.", "probability": 0.1146240234375}, {"start": 1868.97, "end": 1869.39, "word": " Then,", "probability": 0.68798828125}, {"start": 1869.95, "end": 1870.19, "word": " after", "probability": 0.693359375}, {"start": 1870.19, "end": 1870.61, "word": " leaving", "probability": 0.5498046875}, {"start": 1870.61, "end": 1870.81, "word": " the", "probability": 0.91552734375}, {"start": 1870.81, "end": 1871.37, "word": " front", "probability": 0.92138671875}, {"start": 1871.37, "end": 1871.37, "word": " surface,", "probability": 0.84521484375}, {"start": 1871.71, "end": 1871.87, "word": " the", "probability": 0.8134765625}, {"start": 1871.87, "end": 1871.87, "word": " lens", "probability": 0.76953125}, {"start": 1871.87, "end": 1871.89, "word": " will", "probability": 0.6552734375}, {"start": 1871.89, "end": 1872.21, "word": " send", "probability": 0.090087890625}, {"start": 1872.21, "end": 1872.83, "word": " a", "probability": 0.471435546875}, {"start": 1872.83, "end": 1873.05, "word": " part", "probability": 0.77392578125}, {"start": 1873.05, "end": 1873.29, "word": " of", "probability": 0.96875}, {"start": 1873.29, "end": 1873.41, "word": " its", "probability": 0.87744140625}, {"start": 1873.41, "end": 1873.79, "word": " force", "probability": 0.74365234375}, {"start": 1873.79, "end": 1874.71, "word": " to", "probability": 0.91845703125}, {"start": 1874.71, "end": 1875.17, "word": " transfer", "probability": 0.4619140625}, {"start": 1875.17, "end": 1875.37, "word": " the", "probability": 0.59228515625}, {"start": 1875.37, "end": 1875.63, "word": " light", "probability": 0.87109375}, {"start": 1875.63, "end": 1876.27, "word": " and", "probability": 0.7548828125}, {"start": 1876.27, "end": 1876.87, "word": " change", "probability": 0.72509765625}, {"start": 1876.87, "end": 1877.05, "word": " the", "probability": 0.8916015625}, {"start": 1877.05, "end": 1877.75, "word": " amplitude", "probability": 0.75}, {"start": 1877.75, "end": 1878.11, "word": " of", "probability": 0.55859375}, {"start": 1878.11, "end": 1878.21, "word": " the", "probability": 0.45166015625}, {"start": 1878.21, "end": 1878.41, "word": " light", "probability": 0.8671875}, {"start": 1878.41, "end": 1878.63, "word": " from", "probability": 0.85546875}, {"start": 1878.63, "end": 1878.83, "word": " the", "probability": 0.91064453125}, {"start": 1878.83, "end": 1879.35, "word": " front", "probability": 0.9296875}, {"start": 1879.35, "end": 1879.35, "word": " surface", "probability": 0.8544921875}, {"start": 1879.35, "end": 1879.61, "word": " to", "probability": 0.93212890625}, {"start": 1879.61, "end": 1879.77, "word": " the", "probability": 0.92041015625}, {"start": 1879.77, "end": 1880.33, "word": " back", "probability": 0.5771484375}, {"start": 1880.33, "end": 1880.45, "word": " surface.", "probability": 0.85205078125}], "temperature": 1.0}, {"id": 80, "seek": 190383, "start": 1881.05, "end": 1903.83, "text": "after that it will receive the back surface with what is left of its power and after that all this work will lead either to form a real picture if all the results are positive, that is, if at the back surface the light comes out convergent, it means that the three forces, the power of the front and the power of the transfer and the power of the back", "tokens": [18837, 300, 309, 486, 4774, 264, 646, 3753, 365, 437, 307, 1411, 295, 1080, 1347, 293, 934, 300, 439, 341, 589, 486, 1477, 2139, 281, 1254, 257, 957, 3036, 498, 439, 264, 3542, 366, 3353, 11, 300, 307, 11, 498, 412, 264, 646, 3753, 264, 1442, 1487, 484, 9652, 6930, 11, 309, 1355, 300, 264, 1045, 5874, 11, 264, 1347, 295, 264, 1868, 293, 264, 1347, 295, 264, 5003, 293, 264, 1347, 295, 264, 646], "avg_logprob": -0.5028783098647469, "compression_ratio": 1.9076086956521738, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 1881.05, "end": 1881.39, "word": "after", "probability": 0.1085205078125}, {"start": 1881.39, "end": 1881.61, "word": " that", "probability": 0.73095703125}, {"start": 1881.61, "end": 1881.65, "word": " it", "probability": 0.2208251953125}, {"start": 1881.65, "end": 1881.81, "word": " will", "probability": 0.70068359375}, {"start": 1881.81, "end": 1882.17, "word": " receive", "probability": 0.64501953125}, {"start": 1882.17, "end": 1883.09, "word": " the", "probability": 0.611328125}, {"start": 1883.09, "end": 1883.33, "word": " back", "probability": 0.374267578125}, {"start": 1883.33, "end": 1883.41, "word": " surface", "probability": 0.525390625}, {"start": 1883.41, "end": 1883.65, "word": " with", "probability": 0.58935546875}, {"start": 1883.65, "end": 1883.75, "word": " what", "probability": 0.37841796875}, {"start": 1883.75, "end": 1883.91, "word": " is", "probability": 0.381103515625}, {"start": 1883.91, "end": 1884.25, "word": " left", "probability": 0.66015625}, {"start": 1884.25, "end": 1884.67, "word": " of", "probability": 0.69873046875}, {"start": 1884.67, "end": 1884.83, "word": " its", "probability": 0.3056640625}, {"start": 1884.83, "end": 1885.09, "word": " power", "probability": 0.385986328125}, {"start": 1885.09, "end": 1885.67, "word": " and", "probability": 0.444091796875}, {"start": 1885.67, "end": 1885.93, "word": " after", "probability": 0.456787109375}, {"start": 1885.93, "end": 1886.21, "word": " that", "probability": 0.6328125}, {"start": 1886.21, "end": 1886.59, "word": " all", "probability": 0.5498046875}, {"start": 1886.59, "end": 1886.89, "word": " this", "probability": 0.701171875}, {"start": 1886.89, "end": 1887.35, "word": " work", "probability": 0.7509765625}, {"start": 1887.35, "end": 1887.89, "word": " will", "probability": 0.75830078125}, {"start": 1887.89, "end": 1888.23, "word": " lead", "probability": 0.423828125}, {"start": 1888.23, "end": 1888.63, "word": " either", "probability": 0.3427734375}, {"start": 1888.63, "end": 1888.79, "word": " to", "probability": 0.94287109375}, {"start": 1888.79, "end": 1889.25, "word": " form", "probability": 0.415283203125}, {"start": 1889.25, "end": 1889.37, "word": " a", "probability": 0.93603515625}, {"start": 1889.37, "end": 1889.95, "word": " real", "probability": 0.69091796875}, {"start": 1889.95, "end": 1890.17, "word": " picture", "probability": 0.418701171875}, {"start": 1890.17, "end": 1890.97, "word": " if", "probability": 0.84326171875}, {"start": 1890.97, "end": 1891.43, "word": " all", "probability": 0.87255859375}, {"start": 1891.43, "end": 1891.57, "word": " the", "probability": 0.724609375}, {"start": 1891.57, "end": 1891.89, "word": " results", "probability": 0.61669921875}, {"start": 1891.89, "end": 1892.05, "word": " are", "probability": 0.88525390625}, {"start": 1892.05, "end": 1892.53, "word": " positive,", "probability": 0.8896484375}, {"start": 1892.71, "end": 1892.83, "word": " that", "probability": 0.290283203125}, {"start": 1892.83, "end": 1892.93, "word": " is,", "probability": 0.818359375}, {"start": 1893.03, "end": 1893.17, "word": " if", "probability": 0.95556640625}, {"start": 1893.17, "end": 1893.27, "word": " at", "probability": 0.22119140625}, {"start": 1893.27, "end": 1893.65, "word": " the", "probability": 0.9248046875}, {"start": 1893.65, "end": 1894.39, "word": " back", "probability": 0.79931640625}, {"start": 1894.39, "end": 1894.45, "word": " surface", "probability": 0.8134765625}, {"start": 1894.45, "end": 1895.37, "word": " the", "probability": 0.3740234375}, {"start": 1895.37, "end": 1895.57, "word": " light", "probability": 0.75830078125}, {"start": 1895.57, "end": 1895.87, "word": " comes", "probability": 0.415771484375}, {"start": 1895.87, "end": 1895.95, "word": " out", "probability": 0.85986328125}, {"start": 1895.95, "end": 1896.85, "word": " convergent,", "probability": 0.8037109375}, {"start": 1897.39, "end": 1897.41, "word": " it", "probability": 0.1556396484375}, {"start": 1897.41, "end": 1897.73, "word": " means", "probability": 0.88720703125}, {"start": 1897.73, "end": 1897.97, "word": " that", "probability": 0.5458984375}, {"start": 1897.97, "end": 1898.01, "word": " the", "probability": 0.728515625}, {"start": 1898.01, "end": 1898.61, "word": " three", "probability": 0.6611328125}, {"start": 1898.61, "end": 1898.61, "word": " forces,", "probability": 0.7353515625}, {"start": 1898.87, "end": 1899.03, "word": " the", "probability": 0.82373046875}, {"start": 1899.03, "end": 1899.63, "word": " power", "probability": 0.6220703125}, {"start": 1899.63, "end": 1899.85, "word": " of", "probability": 0.91162109375}, {"start": 1899.85, "end": 1900.09, "word": " the", "probability": 0.85888671875}, {"start": 1900.09, "end": 1900.45, "word": " front", "probability": 0.953125}, {"start": 1900.45, "end": 1901.01, "word": " and", "probability": 0.346435546875}, {"start": 1901.01, "end": 1901.17, "word": " the", "probability": 0.84423828125}, {"start": 1901.17, "end": 1901.43, "word": " power", "probability": 0.82763671875}, {"start": 1901.43, "end": 1901.61, "word": " of", "probability": 0.96337890625}, {"start": 1901.61, "end": 1901.81, "word": " the", "probability": 0.876953125}, {"start": 1901.81, "end": 1902.31, "word": " transfer", "probability": 0.79296875}, {"start": 1902.31, "end": 1902.57, "word": " and", "probability": 0.810546875}, {"start": 1902.57, "end": 1902.69, "word": " the", "probability": 0.89794921875}, {"start": 1902.69, "end": 1902.89, "word": " power", "probability": 0.79638671875}, {"start": 1902.89, "end": 1903.15, "word": " of", "probability": 0.9619140625}, {"start": 1903.15, "end": 1903.41, "word": " the", "probability": 0.8779296875}, {"start": 1903.41, "end": 1903.83, "word": " back", "probability": 0.8505859375}], "temperature": 1.0}, {"id": 81, "seek": 192787, "start": 1904.09, "end": 1927.87, "text": "succeeded in changing the fluctuation state of the light from fluctuating to colliding. So sometimes the image will be real. But if the total result of the lens dealing with its three forces with the fluctuating state of the light coming from the object was negative, in other words, we reached the point", "tokens": [82, 1311, 4357, 292, 294, 4473, 264, 23448, 16073, 1785, 295, 264, 1442, 490, 23448, 32438, 281, 1263, 2819, 13, 407, 2171, 264, 3256, 486, 312, 957, 13, 583, 498, 264, 3217, 1874, 295, 264, 6765, 6260, 365, 1080, 1045, 5874, 365, 264, 23448, 32438, 1785, 295, 264, 1442, 1348, 490, 264, 2657, 390, 3671, 11, 294, 661, 2283, 11, 321, 6488, 264, 935], "avg_logprob": -0.5927884615384615, "compression_ratio": 1.6983240223463687, "no_speech_prob": 1.0132789611816406e-05, "words": [{"start": 1904.09, "end": 1904.85, "word": "succeeded", "probability": 0.5433349609375}, {"start": 1904.85, "end": 1904.95, "word": " in", "probability": 0.83984375}, {"start": 1904.95, "end": 1905.47, "word": " changing", "probability": 0.7236328125}, {"start": 1905.47, "end": 1905.69, "word": " the", "probability": 0.79931640625}, {"start": 1905.69, "end": 1906.75, "word": " fluctuation", "probability": 0.314666748046875}, {"start": 1906.75, "end": 1906.75, "word": " state", "probability": 0.5458984375}, {"start": 1906.75, "end": 1906.97, "word": " of", "probability": 0.59814453125}, {"start": 1906.97, "end": 1907.05, "word": " the", "probability": 0.29541015625}, {"start": 1907.05, "end": 1907.23, "word": " light", "probability": 0.73583984375}, {"start": 1907.23, "end": 1907.53, "word": " from", "probability": 0.8232421875}, {"start": 1907.53, "end": 1908.43, "word": " fluctuating", "probability": 0.4483642578125}, {"start": 1908.43, "end": 1908.77, "word": " to", "probability": 0.78564453125}, {"start": 1908.77, "end": 1909.43, "word": " colliding.", "probability": 0.2906494140625}, {"start": 1909.71, "end": 1909.97, "word": " So", "probability": 0.4111328125}, {"start": 1909.97, "end": 1910.33, "word": " sometimes", "probability": 0.1881103515625}, {"start": 1910.33, "end": 1910.51, "word": " the", "probability": 0.73046875}, {"start": 1910.51, "end": 1910.71, "word": " image", "probability": 0.4091796875}, {"start": 1910.71, "end": 1910.95, "word": " will", "probability": 0.477783203125}, {"start": 1910.95, "end": 1911.25, "word": " be", "probability": 0.798828125}, {"start": 1911.25, "end": 1912.11, "word": " real.", "probability": 0.34375}, {"start": 1912.79, "end": 1913.05, "word": " But", "probability": 0.454345703125}, {"start": 1913.05, "end": 1913.33, "word": " if", "probability": 0.912109375}, {"start": 1913.33, "end": 1914.87, "word": " the", "probability": 0.8203125}, {"start": 1914.87, "end": 1915.89, "word": " total", "probability": 0.5224609375}, {"start": 1915.89, "end": 1915.91, "word": " result", "probability": 0.63671875}, {"start": 1915.91, "end": 1917.47, "word": " of", "probability": 0.81884765625}, {"start": 1917.47, "end": 1918.23, "word": " the", "probability": 0.53564453125}, {"start": 1918.23, "end": 1918.67, "word": " lens", "probability": 0.2188720703125}, {"start": 1918.67, "end": 1918.71, "word": " dealing", "probability": 0.322021484375}, {"start": 1918.71, "end": 1919.69, "word": " with", "probability": 0.86083984375}, {"start": 1919.69, "end": 1919.79, "word": " its", "probability": 0.34228515625}, {"start": 1919.79, "end": 1920.53, "word": " three", "probability": 0.7275390625}, {"start": 1920.53, "end": 1920.53, "word": " forces", "probability": 0.845703125}, {"start": 1920.53, "end": 1921.47, "word": " with", "probability": 0.58349609375}, {"start": 1921.47, "end": 1921.67, "word": " the", "probability": 0.826171875}, {"start": 1921.67, "end": 1922.69, "word": " fluctuating", "probability": 0.828125}, {"start": 1922.69, "end": 1922.69, "word": " state", "probability": 0.9033203125}, {"start": 1922.69, "end": 1922.81, "word": " of", "probability": 0.93896484375}, {"start": 1922.81, "end": 1923.07, "word": " the", "probability": 0.52734375}, {"start": 1923.07, "end": 1923.11, "word": " light", "probability": 0.6328125}, {"start": 1923.11, "end": 1923.49, "word": " coming", "probability": 0.818359375}, {"start": 1923.49, "end": 1923.71, "word": " from", "probability": 0.86572265625}, {"start": 1923.71, "end": 1923.79, "word": " the", "probability": 0.904296875}, {"start": 1923.79, "end": 1924.15, "word": " object", "probability": 0.91796875}, {"start": 1924.15, "end": 1924.69, "word": " was", "probability": 0.640625}, {"start": 1924.69, "end": 1925.19, "word": " negative,", "probability": 0.93505859375}, {"start": 1925.51, "end": 1925.59, "word": " in", "probability": 0.64892578125}, {"start": 1925.59, "end": 1926.27, "word": " other", "probability": 0.468017578125}, {"start": 1926.27, "end": 1926.27, "word": " words,", "probability": 0.87158203125}, {"start": 1926.93, "end": 1926.99, "word": " we", "probability": 0.89794921875}, {"start": 1926.99, "end": 1927.27, "word": " reached", "probability": 0.393310546875}, {"start": 1927.27, "end": 1927.59, "word": " the", "probability": 0.7490234375}, {"start": 1927.59, "end": 1927.87, "word": " point", "probability": 0.94677734375}], "temperature": 1.0}, {"id": 82, "seek": 195617, "start": 1930.35, "end": 1956.17, "text": "that the light that came out of the lens was also fluctuating. It is true that it was less fluctuating than what came in. It came in with a fluctuation of minus 20 diopters and came out with a fluctuation of minus 10 diopters. The light was less, the fluctuation was less. It is as if the rays began to accumulate, but they are not accumulated. We cannot call them accumulated, they are fluctuating. So, the fluctuating rays, no matter how much they spread, did not form a picture. In general,", "tokens": [6780, 264, 1442, 300, 1361, 484, 295, 264, 40116, 82, 390, 611, 23448, 32438, 13, 467, 307, 2074, 300, 309, 390, 1570, 23448, 32438, 813, 437, 1361, 294, 13, 467, 1361, 294, 365, 257, 23448, 16073, 295, 3175, 945, 1026, 404, 1559, 293, 1361, 484, 365, 257, 23448, 16073, 295, 3175, 1266, 1026, 404, 1559, 13, 440, 1442, 390, 1570, 11, 264, 23448, 16073, 390, 1570, 13, 467, 307, 382, 498, 264, 24417, 4283, 281, 33384, 11, 457, 436, 366, 406, 31346, 13, 492, 2644, 818, 552, 31346, 11, 436, 366, 23448, 32438, 13, 407, 11, 264, 23448, 32438, 24417, 11, 572, 1871, 577, 709, 436, 3974, 11, 630, 406, 1254, 257, 3036, 13, 682, 2674, 11], "avg_logprob": -0.44915254515106395, "compression_ratio": 2.080168776371308, "no_speech_prob": 1.52587890625e-05, "words": [{"start": 1930.35, "end": 1930.65, "word": "that", "probability": 0.2210693359375}, {"start": 1930.65, "end": 1930.81, "word": " the", "probability": 0.779296875}, {"start": 1930.81, "end": 1930.97, "word": " light", "probability": 0.8330078125}, {"start": 1930.97, "end": 1931.13, "word": " that", "probability": 0.364501953125}, {"start": 1931.13, "end": 1931.37, "word": " came", "probability": 0.609375}, {"start": 1931.37, "end": 1931.45, "word": " out", "probability": 0.78466796875}, {"start": 1931.45, "end": 1931.59, "word": " of", "probability": 0.69482421875}, {"start": 1931.59, "end": 1931.71, "word": " the", "probability": 0.87353515625}, {"start": 1931.71, "end": 1932.03, "word": " lens", "probability": 0.53271484375}, {"start": 1932.03, "end": 1932.51, "word": " was", "probability": 0.56591796875}, {"start": 1932.51, "end": 1932.53, "word": " also", "probability": 0.6611328125}, {"start": 1932.53, "end": 1933.17, "word": " fluctuating.", "probability": 0.457763671875}, {"start": 1933.65, "end": 1933.87, "word": " It", "probability": 0.2470703125}, {"start": 1933.87, "end": 1933.87, "word": " is", "probability": 0.3369140625}, {"start": 1933.87, "end": 1934.03, "word": " true", "probability": 0.75732421875}, {"start": 1934.03, "end": 1934.15, "word": " that", "probability": 0.87060546875}, {"start": 1934.15, "end": 1934.25, "word": " it", "probability": 0.751953125}, {"start": 1934.25, "end": 1934.45, "word": " was", "probability": 0.392333984375}, {"start": 1934.45, "end": 1934.45, "word": " less", "probability": 0.7236328125}, {"start": 1934.45, "end": 1935.07, "word": " fluctuating", "probability": 0.811279296875}, {"start": 1935.07, "end": 1935.25, "word": " than", "probability": 0.8056640625}, {"start": 1935.25, "end": 1935.45, "word": " what", "probability": 0.444091796875}, {"start": 1935.45, "end": 1935.63, "word": " came", "probability": 0.41162109375}, {"start": 1935.63, "end": 1935.83, "word": " in.", "probability": 0.83447265625}, {"start": 1936.17, "end": 1936.27, "word": " It", "probability": 0.78173828125}, {"start": 1936.27, "end": 1936.55, "word": " came", "probability": 0.372802734375}, {"start": 1936.55, "end": 1936.85, "word": " in", "probability": 0.7060546875}, {"start": 1936.85, "end": 1936.91, "word": " with", "probability": 0.61376953125}, {"start": 1936.91, "end": 1937.03, "word": " a", "probability": 0.7626953125}, {"start": 1937.03, "end": 1937.37, "word": " fluctuation", "probability": 0.78857421875}, {"start": 1937.37, "end": 1937.49, "word": " of", "probability": 0.91064453125}, {"start": 1937.49, "end": 1937.77, "word": " minus", "probability": 0.32861328125}, {"start": 1937.77, "end": 1938.25, "word": " 20", "probability": 0.60546875}, {"start": 1938.25, "end": 1938.81, "word": " diopters", "probability": 0.8040364583333334}, {"start": 1938.81, "end": 1939.51, "word": " and", "probability": 0.60546875}, {"start": 1939.51, "end": 1939.75, "word": " came", "probability": 0.37890625}, {"start": 1939.75, "end": 1939.89, "word": " out", "probability": 0.884765625}, {"start": 1939.89, "end": 1940.01, "word": " with", "probability": 0.857421875}, {"start": 1940.01, "end": 1940.21, "word": " a", "probability": 0.9580078125}, {"start": 1940.21, "end": 1940.45, "word": " fluctuation", "probability": 0.9365234375}, {"start": 1940.45, "end": 1940.75, "word": " of", "probability": 0.95947265625}, {"start": 1940.75, "end": 1941.07, "word": " minus", "probability": 0.9677734375}, {"start": 1941.07, "end": 1941.45, "word": " 10", "probability": 0.89892578125}, {"start": 1941.45, "end": 1942.09, "word": " diopters.", "probability": 0.9544270833333334}, {"start": 1942.57, "end": 1942.71, "word": " The", "probability": 0.712890625}, {"start": 1942.71, "end": 1942.89, "word": " light", "probability": 0.210205078125}, {"start": 1942.89, "end": 1943.09, "word": " was", "probability": 0.346435546875}, {"start": 1943.09, "end": 1943.45, "word": " less,", "probability": 0.5703125}, {"start": 1943.53, "end": 1943.79, "word": " the", "probability": 0.68017578125}, {"start": 1943.79, "end": 1944.23, "word": " fluctuation", "probability": 0.892822265625}, {"start": 1944.23, "end": 1944.37, "word": " was", "probability": 0.8134765625}, {"start": 1944.37, "end": 1944.71, "word": " less.", "probability": 0.8486328125}, {"start": 1945.05, "end": 1945.23, "word": " It", "probability": 0.6181640625}, {"start": 1945.23, "end": 1945.25, "word": " is", "probability": 0.380126953125}, {"start": 1945.25, "end": 1945.41, "word": " as", "probability": 0.72119140625}, {"start": 1945.41, "end": 1945.63, "word": " if", "probability": 0.8984375}, {"start": 1945.63, "end": 1945.73, "word": " the", "probability": 0.69580078125}, {"start": 1945.73, "end": 1946.01, "word": " rays", "probability": 0.6806640625}, {"start": 1946.01, "end": 1946.47, "word": " began", "probability": 0.42724609375}, {"start": 1946.47, "end": 1946.67, "word": " to", "probability": 0.96875}, {"start": 1946.67, "end": 1947.03, "word": " accumulate,", "probability": 0.1390380859375}, {"start": 1947.23, "end": 1947.41, "word": " but", "probability": 0.9052734375}, {"start": 1947.41, "end": 1947.53, "word": " they", "probability": 0.7724609375}, {"start": 1947.53, "end": 1947.63, "word": " are", "probability": 0.51708984375}, {"start": 1947.63, "end": 1947.73, "word": " not", "probability": 0.931640625}, {"start": 1947.73, "end": 1948.13, "word": " accumulated.", "probability": 0.228759765625}, {"start": 1948.33, "end": 1948.41, "word": " We", "probability": 0.58544921875}, {"start": 1948.41, "end": 1948.75, "word": " cannot", "probability": 0.64111328125}, {"start": 1948.75, "end": 1949.11, "word": " call", "probability": 0.63720703125}, {"start": 1949.11, "end": 1949.35, "word": " them", "probability": 0.4794921875}, {"start": 1949.35, "end": 1949.71, "word": " accumulated,", "probability": 0.8037109375}, {"start": 1949.79, "end": 1949.93, "word": " they", "probability": 0.7470703125}, {"start": 1949.93, "end": 1950.09, "word": " are", "probability": 0.92626953125}, {"start": 1950.09, "end": 1950.69, "word": " fluctuating.", "probability": 0.81689453125}, {"start": 1951.19, "end": 1951.49, "word": " So,", "probability": 0.69189453125}, {"start": 1951.67, "end": 1951.79, "word": " the", "probability": 0.55224609375}, {"start": 1951.79, "end": 1952.91, "word": " fluctuating", "probability": 0.646728515625}, {"start": 1952.91, "end": 1952.91, "word": " rays,", "probability": 0.94091796875}, {"start": 1952.99, "end": 1953.21, "word": " no", "probability": 0.66552734375}, {"start": 1953.21, "end": 1953.31, "word": " matter", "probability": 0.86376953125}, {"start": 1953.31, "end": 1953.47, "word": " how", "probability": 0.9208984375}, {"start": 1953.47, "end": 1953.77, "word": " much", "probability": 0.458740234375}, {"start": 1953.77, "end": 1953.99, "word": " they", "probability": 0.84619140625}, {"start": 1953.99, "end": 1953.99, "word": " spread,", "probability": 0.285888671875}, {"start": 1954.25, "end": 1954.35, "word": " did", "probability": 0.61865234375}, {"start": 1954.35, "end": 1954.53, "word": " not", "probability": 0.94775390625}, {"start": 1954.53, "end": 1954.85, "word": " form", "probability": 0.76416015625}, {"start": 1954.85, "end": 1955.03, "word": " a", "probability": 0.82763671875}, {"start": 1955.03, "end": 1955.23, "word": " picture.", "probability": 0.57177734375}, {"start": 1955.49, "end": 1955.81, "word": " In", "probability": 0.515625}, {"start": 1955.81, "end": 1956.17, "word": " general,", "probability": 0.896484375}], "temperature": 1.0}, {"id": 83, "seek": 198314, "start": 1958.04, "end": 1983.14, "text": "Light is fluctuating and interacting with it. When it collides, it will collide with the front surface. The front surface will interact with it with a certain force. Then, the lens will release its force inside the lens, inside the body of the lens to transfer the light or to change the fluctuating state from the front surface to the back surface. This is called power over transfer.", "tokens": [43, 397, 307, 23448, 32438, 293, 18017, 365, 309, 13, 1133, 309, 1263, 1875, 11, 309, 486, 49093, 365, 264, 1868, 3753, 13, 440, 1868, 3753, 486, 4648, 365, 309, 365, 257, 1629, 3464, 13, 1396, 11, 264, 6765, 486, 4374, 1080, 3464, 1854, 264, 6765, 11, 1854, 264, 1772, 295, 264, 6765, 281, 5003, 264, 1442, 420, 281, 1319, 264, 23448, 32438, 1785, 490, 264, 1868, 3753, 281, 264, 646, 3753, 13, 639, 307, 1219, 1347, 670, 5003, 13], "avg_logprob": -0.49614199885615595, "compression_ratio": 1.9845360824742269, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 1958.04, "end": 1958.34, "word": "Light", "probability": 0.352142333984375}, {"start": 1958.34, "end": 1958.54, "word": " is", "probability": 0.33740234375}, {"start": 1958.54, "end": 1959.28, "word": " fluctuating", "probability": 0.407440185546875}, {"start": 1959.28, "end": 1959.52, "word": " and", "probability": 0.441650390625}, {"start": 1959.52, "end": 1959.9, "word": " interacting", "probability": 0.1378173828125}, {"start": 1959.9, "end": 1960.2, "word": " with", "probability": 0.86279296875}, {"start": 1960.2, "end": 1960.28, "word": " it.", "probability": 0.80859375}, {"start": 1960.4, "end": 1960.64, "word": " When", "probability": 0.1839599609375}, {"start": 1960.64, "end": 1960.94, "word": " it", "probability": 0.8486328125}, {"start": 1960.94, "end": 1961.34, "word": " collides,", "probability": 0.617431640625}, {"start": 1961.4, "end": 1961.5, "word": " it", "probability": 0.88525390625}, {"start": 1961.5, "end": 1961.56, "word": " will", "probability": 0.4384765625}, {"start": 1961.56, "end": 1961.82, "word": " collide", "probability": 0.7080078125}, {"start": 1961.82, "end": 1961.94, "word": " with", "probability": 0.607421875}, {"start": 1961.94, "end": 1962.06, "word": " the", "probability": 0.7822265625}, {"start": 1962.06, "end": 1962.74, "word": " front", "probability": 0.71435546875}, {"start": 1962.74, "end": 1962.82, "word": " surface.", "probability": 0.748046875}, {"start": 1963.26, "end": 1963.32, "word": " The", "probability": 0.70556640625}, {"start": 1963.32, "end": 1963.88, "word": " front", "probability": 0.85986328125}, {"start": 1963.88, "end": 1963.94, "word": " surface", "probability": 0.81640625}, {"start": 1963.94, "end": 1964.2, "word": " will", "probability": 0.7646484375}, {"start": 1964.2, "end": 1965.76, "word": " interact", "probability": 0.61572265625}, {"start": 1965.76, "end": 1966.0, "word": " with", "probability": 0.75439453125}, {"start": 1966.0, "end": 1966.16, "word": " it", "probability": 0.8125}, {"start": 1966.16, "end": 1966.28, "word": " with", "probability": 0.58837890625}, {"start": 1966.28, "end": 1966.38, "word": " a", "probability": 0.859375}, {"start": 1966.38, "end": 1967.0, "word": " certain", "probability": 0.58935546875}, {"start": 1967.0, "end": 1967.0, "word": " force.", "probability": 0.7060546875}, {"start": 1968.34, "end": 1968.82, "word": " Then,", "probability": 0.75537109375}, {"start": 1970.24, "end": 1970.82, "word": " the", "probability": 0.69384765625}, {"start": 1970.82, "end": 1971.1, "word": " lens", "probability": 0.623046875}, {"start": 1971.1, "end": 1971.22, "word": " will", "probability": 0.64697265625}, {"start": 1971.22, "end": 1971.22, "word": " release", "probability": 0.38720703125}, {"start": 1971.22, "end": 1971.34, "word": " its", "probability": 0.70751953125}, {"start": 1971.34, "end": 1971.78, "word": " force", "probability": 0.5390625}, {"start": 1971.78, "end": 1973.48, "word": " inside", "probability": 0.46435546875}, {"start": 1973.48, "end": 1973.92, "word": " the", "probability": 0.888671875}, {"start": 1973.92, "end": 1974.22, "word": " lens,", "probability": 0.64794921875}, {"start": 1974.34, "end": 1974.58, "word": " inside", "probability": 0.89599609375}, {"start": 1974.58, "end": 1974.7, "word": " the", "probability": 0.90234375}, {"start": 1974.7, "end": 1974.88, "word": " body", "probability": 0.41455078125}, {"start": 1974.88, "end": 1975.0, "word": " of", "probability": 0.931640625}, {"start": 1975.0, "end": 1975.08, "word": " the", "probability": 0.9228515625}, {"start": 1975.08, "end": 1975.36, "word": " lens", "probability": 0.92138671875}, {"start": 1975.36, "end": 1975.9, "word": " to", "probability": 0.54931640625}, {"start": 1975.9, "end": 1976.22, "word": " transfer", "probability": 0.50341796875}, {"start": 1976.22, "end": 1976.4, "word": " the", "probability": 0.41650390625}, {"start": 1976.4, "end": 1976.56, "word": " light", "probability": 0.87646484375}, {"start": 1976.56, "end": 1976.84, "word": " or", "probability": 0.7412109375}, {"start": 1976.84, "end": 1976.96, "word": " to", "probability": 0.70263671875}, {"start": 1976.96, "end": 1977.24, "word": " change", "probability": 0.89990234375}, {"start": 1977.24, "end": 1977.38, "word": " the", "probability": 0.87548828125}, {"start": 1977.38, "end": 1978.2, "word": " fluctuating", "probability": 0.703125}, {"start": 1978.2, "end": 1978.2, "word": " state", "probability": 0.84521484375}, {"start": 1978.2, "end": 1978.44, "word": " from", "probability": 0.81201171875}, {"start": 1978.44, "end": 1978.6, "word": " the", "probability": 0.90185546875}, {"start": 1978.6, "end": 1979.14, "word": " front", "probability": 0.93408203125}, {"start": 1979.14, "end": 1979.26, "word": " surface", "probability": 0.8330078125}, {"start": 1979.26, "end": 1979.44, "word": " to", "probability": 0.95947265625}, {"start": 1979.44, "end": 1979.56, "word": " the", "probability": 0.92138671875}, {"start": 1979.56, "end": 1980.14, "word": " back", "probability": 0.5400390625}, {"start": 1980.14, "end": 1980.3, "word": " surface.", "probability": 0.84326171875}, {"start": 1981.2, "end": 1981.68, "word": " This", "probability": 0.58203125}, {"start": 1981.68, "end": 1981.76, "word": " is", "probability": 0.88671875}, {"start": 1981.76, "end": 1982.02, "word": " called", "probability": 0.71923828125}, {"start": 1982.02, "end": 1982.38, "word": " power", "probability": 0.57080078125}, {"start": 1982.38, "end": 1982.58, "word": " over", "probability": 0.5146484375}, {"start": 1982.58, "end": 1983.14, "word": " transfer.", "probability": 0.96142578125}], "temperature": 1.0}, {"id": 84, "seek": 199620, "start": 1984.4, "end": 1996.2, "text": "The light will come out from the back of the lens and the power of the back of the lens so that you can deal with it to change the fluctuation state All this work in these three areas", "tokens": [2278, 1442, 486, 808, 484, 490, 264, 646, 295, 264, 6765, 293, 264, 1347, 295, 264, 646, 295, 264, 6765, 370, 300, 291, 393, 2028, 365, 309, 281, 1319, 264, 23448, 16073, 1785, 1057, 341, 589, 294, 613, 1045, 3179], "avg_logprob": -0.5518292799228575, "compression_ratio": 1.4878048780487805, "no_speech_prob": 3.159046173095703e-06, "words": [{"start": 1984.4, "end": 1984.92, "word": "The", "probability": 0.1451416015625}, {"start": 1984.92, "end": 1984.92, "word": " light", "probability": 0.7958984375}, {"start": 1984.92, "end": 1984.92, "word": " will", "probability": 0.703125}, {"start": 1984.92, "end": 1985.64, "word": " come", "probability": 0.42822265625}, {"start": 1985.64, "end": 1986.0, "word": " out", "probability": 0.662109375}, {"start": 1986.0, "end": 1986.24, "word": " from", "probability": 0.580078125}, {"start": 1986.24, "end": 1986.84, "word": " the", "probability": 0.80859375}, {"start": 1986.84, "end": 1987.04, "word": " back", "probability": 0.517578125}, {"start": 1987.04, "end": 1987.54, "word": " of", "probability": 0.5078125}, {"start": 1987.54, "end": 1987.76, "word": " the", "probability": 0.912109375}, {"start": 1987.76, "end": 1988.1, "word": " lens", "probability": 0.5546875}, {"start": 1988.1, "end": 1988.88, "word": " and", "probability": 0.54931640625}, {"start": 1988.88, "end": 1989.24, "word": " the", "probability": 0.63037109375}, {"start": 1989.24, "end": 1989.52, "word": " power", "probability": 0.304443359375}, {"start": 1989.52, "end": 1989.7, "word": " of", "probability": 0.82275390625}, {"start": 1989.7, "end": 1989.74, "word": " the", "probability": 0.89794921875}, {"start": 1989.74, "end": 1990.24, "word": " back", "probability": 0.78173828125}, {"start": 1990.24, "end": 1990.24, "word": " of", "probability": 0.54833984375}, {"start": 1990.24, "end": 1990.36, "word": " the", "probability": 0.8876953125}, {"start": 1990.36, "end": 1990.36, "word": " lens", "probability": 0.85986328125}, {"start": 1990.36, "end": 1990.64, "word": " so", "probability": 0.1419677734375}, {"start": 1990.64, "end": 1990.84, "word": " that", "probability": 0.716796875}, {"start": 1990.84, "end": 1991.2, "word": " you", "probability": 0.419921875}, {"start": 1991.2, "end": 1991.28, "word": " can", "probability": 0.70849609375}, {"start": 1991.28, "end": 1991.64, "word": " deal", "probability": 0.62158203125}, {"start": 1991.64, "end": 1991.88, "word": " with", "probability": 0.90966796875}, {"start": 1991.88, "end": 1992.0, "word": " it", "probability": 0.86279296875}, {"start": 1992.0, "end": 1992.34, "word": " to", "probability": 0.446044921875}, {"start": 1992.34, "end": 1992.72, "word": " change", "probability": 0.880859375}, {"start": 1992.72, "end": 1992.86, "word": " the", "probability": 0.7685546875}, {"start": 1992.86, "end": 1993.88, "word": " fluctuation", "probability": 0.445037841796875}, {"start": 1993.88, "end": 1993.88, "word": " state", "probability": 0.327880859375}, {"start": 1993.88, "end": 1994.5, "word": " All", "probability": 0.5009765625}, {"start": 1994.5, "end": 1994.74, "word": " this", "probability": 0.493896484375}, {"start": 1994.74, "end": 1995.1, "word": " work", "probability": 0.8359375}, {"start": 1995.1, "end": 1995.28, "word": " in", "probability": 0.62158203125}, {"start": 1995.28, "end": 1995.42, "word": " these", "probability": 0.6298828125}, {"start": 1995.42, "end": 1995.7, "word": " three", "probability": 0.81005859375}, {"start": 1995.7, "end": 1996.2, "word": " areas", "probability": 0.7841796875}], "temperature": 1.0}, {"id": 85, "seek": 201644, "start": 1996.7, "end": 2016.44, "text": "السطح الأمامي، داخل العدسة، على السطح الخلفي، كله هيأدي ل Uncharted على I Uncharted على I، إذا قيمة موجبة، هتتكون صورة متجمعة أو هتتجمع الأشعة في صورة حقيقية، إذا كان قيمة سالبة، هيتظلها الأشعة متشتتة، أقل تشتتة مما دخلت، ولكن", "tokens": [6027, 3794, 9566, 5016, 16247, 2304, 10943, 1829, 12399, 11778, 47283, 1211, 18863, 3215, 3794, 3660, 12399, 15844, 21136, 9566, 5016, 33962, 1211, 41185, 12399, 28242, 3224, 39896, 10721, 16254, 5296, 1156, 339, 47350, 15844, 286, 1156, 339, 47350, 15844, 286, 12399, 11933, 15730, 12174, 32640, 3660, 3714, 29245, 49401, 12399, 8032, 2655, 2655, 30544, 20328, 13063, 3660, 44650, 7435, 2304, 27884, 34051, 8032, 2655, 2655, 7435, 2304, 3615, 16247, 8592, 27884, 8978, 20328, 13063, 3660, 11331, 38436, 4587, 10632, 12399, 11933, 15730, 25961, 12174, 32640, 3660, 8608, 6027, 49401, 12399, 8032, 36081, 19913, 1211, 11296, 16247, 8592, 27884, 44650, 8592, 2655, 2655, 3660, 12399, 5551, 4587, 1211, 6055, 8592, 2655, 2655, 3660, 3714, 15042, 11778, 9778, 1211, 2655, 12399, 35525, 19452], "avg_logprob": -0.1585365885156926, "compression_ratio": 1.8450704225352113, "no_speech_prob": 0.00010895729064941406, "words": [{"start": 1996.7, "end": 1997.18, "word": "السطح", "probability": 0.74700927734375}, {"start": 1997.18, "end": 1997.88, "word": " الأمامي،", "probability": 0.83828125}, {"start": 1997.88, "end": 1998.18, "word": " داخل", "probability": 0.9747721354166666}, {"start": 1998.18, "end": 1999.08, "word": " العدسة،", "probability": 0.9685546875}, {"start": 1999.08, "end": 1999.26, "word": " على", "probability": 0.85107421875}, {"start": 1999.26, "end": 1999.7, "word": " السطح", "probability": 0.9563802083333334}, {"start": 1999.7, "end": 2000.5, "word": " الخلفي،", "probability": 0.78704833984375}, {"start": 2000.5, "end": 2000.86, "word": " كله", "probability": 0.966552734375}, {"start": 2000.86, "end": 2001.5, "word": " هيأدي", "probability": 0.591796875}, {"start": 2001.5, "end": 2002.0, "word": " ل", "probability": 0.88916015625}, {"start": 2002.0, "end": 2002.56, "word": " Uncharted", "probability": 0.39776611328125}, {"start": 2002.56, "end": 2002.84, "word": " على", "probability": 0.9287109375}, {"start": 2002.84, "end": 2003.1, "word": " I", "probability": 0.8544921875}, {"start": 2003.1, "end": 2003.94, "word": " Uncharted", "probability": 0.88330078125}, {"start": 2003.94, "end": 2004.2, "word": " على", "probability": 0.896484375}, {"start": 2004.2, "end": 2004.66, "word": " I،", "probability": 0.7435302734375}, {"start": 2004.66, "end": 2004.82, "word": " إذا", "probability": 0.880859375}, {"start": 2004.82, "end": 2005.28, "word": " قيمة", "probability": 0.9900716145833334}, {"start": 2005.28, "end": 2006.04, "word": " موجبة،", "probability": 0.949951171875}, {"start": 2006.04, "end": 2006.62, "word": " هتتكون", "probability": 0.861083984375}, {"start": 2006.62, "end": 2007.06, "word": " صورة", "probability": 0.9835611979166666}, {"start": 2007.06, "end": 2007.7, "word": " متجمعة", "probability": 0.9130859375}, {"start": 2007.7, "end": 2007.86, "word": " أو", "probability": 0.6572265625}, {"start": 2007.86, "end": 2008.36, "word": " هتتجمع", "probability": 0.9927571614583334}, {"start": 2008.36, "end": 2008.74, "word": " الأشعة", "probability": 0.7947591145833334}, {"start": 2008.74, "end": 2008.94, "word": " في", "probability": 0.95751953125}, {"start": 2008.94, "end": 2009.24, "word": " صورة", "probability": 0.9951171875}, {"start": 2009.24, "end": 2010.2, "word": " حقيقية،", "probability": 0.92353515625}, {"start": 2010.2, "end": 2010.54, "word": " إذا", "probability": 0.973876953125}, {"start": 2010.54, "end": 2010.8, "word": " كان", "probability": 0.98681640625}, {"start": 2010.8, "end": 2011.3, "word": " قيمة", "probability": 0.9952799479166666}, {"start": 2011.3, "end": 2012.16, "word": " سالبة،", "probability": 0.9462890625}, {"start": 2012.16, "end": 2012.66, "word": " هيتظلها", "probability": 0.731396484375}, {"start": 2012.66, "end": 2013.16, "word": " الأشعة", "probability": 0.98876953125}, {"start": 2013.16, "end": 2014.14, "word": " متشتتة،", "probability": 0.9529622395833334}, {"start": 2014.14, "end": 2014.46, "word": " أقل", "probability": 0.9873046875}, {"start": 2014.46, "end": 2015.1, "word": " تشتتة", "probability": 0.887548828125}, {"start": 2015.1, "end": 2015.42, "word": " مما", "probability": 0.93310546875}, {"start": 2015.42, "end": 2015.96, "word": " دخلت،", "probability": 0.97294921875}, {"start": 2015.96, "end": 2016.44, "word": " ولكن", "probability": 0.895263671875}], "temperature": 1.0}, {"id": 86, "seek": 203605, "start": 2030.01, "end": 2036.05, "text": "The power of the front and back lens services are easily calculated.", "tokens": [2278, 1347, 295, 264, 1868, 293, 646, 6765, 3328, 366, 3612, 15598, 13], "avg_logprob": -0.30273438138621195, "compression_ratio": 0.9855072463768116, "no_speech_prob": 1.4781951904296875e-05, "words": [{"start": 2030.01, "end": 2030.81, "word": "The", "probability": 0.2049560546875}, {"start": 2030.81, "end": 2031.61, "word": " power", "probability": 0.85009765625}, {"start": 2031.61, "end": 2031.83, "word": " of", "probability": 0.9716796875}, {"start": 2031.83, "end": 2032.01, "word": " the", "probability": 0.81103515625}, {"start": 2032.01, "end": 2032.27, "word": " front", "probability": 0.931640625}, {"start": 2032.27, "end": 2032.55, "word": " and", "probability": 0.87255859375}, {"start": 2032.55, "end": 2032.89, "word": " back", "probability": 0.77880859375}, {"start": 2032.89, "end": 2033.29, "word": " lens", "probability": 0.79833984375}, {"start": 2033.29, "end": 2034.09, "word": " services", "probability": 0.802734375}, {"start": 2034.09, "end": 2034.85, "word": " are", "probability": 0.81884765625}, {"start": 2034.85, "end": 2035.43, "word": " easily", "probability": 0.90087890625}, {"start": 2035.43, "end": 2036.05, "word": " calculated.", "probability": 0.96435546875}], "temperature": 1.0}, {"id": 87, "seek": 206016, "start": 2038.94, "end": 2060.16, "text": "The power of the front surface and the power of the rear surface easily, but the issue of the vergence exchange on transfer is difficult to calculate. That is, how much is the share of the transfer power, which is the power of the inside of the lens to change the oscillation state inside the lens.", "tokens": [2278, 1347, 295, 264, 1868, 3753, 293, 264, 1347, 295, 264, 8250, 3753, 3612, 11, 457, 264, 2734, 295, 264, 1306, 15260, 7742, 322, 5003, 307, 2252, 281, 8873, 13, 663, 307, 11, 577, 709, 307, 264, 2073, 295, 264, 5003, 1347, 11, 597, 307, 264, 1347, 295, 264, 1854, 295, 264, 6765, 281, 1319, 264, 18225, 399, 1785, 1854, 264, 6765, 13], "avg_logprob": -0.45410156110301614, "compression_ratio": 1.8395061728395061, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 2038.94, "end": 2039.48, "word": "The", "probability": 0.29443359375}, {"start": 2039.48, "end": 2039.78, "word": " power", "probability": 0.71826171875}, {"start": 2039.78, "end": 2040.0, "word": " of", "probability": 0.77490234375}, {"start": 2040.0, "end": 2040.18, "word": " the", "probability": 0.83837890625}, {"start": 2040.18, "end": 2040.68, "word": " front", "probability": 0.7890625}, {"start": 2040.68, "end": 2040.68, "word": " surface", "probability": 0.62841796875}, {"start": 2040.68, "end": 2041.04, "word": " and", "probability": 0.80908203125}, {"start": 2041.04, "end": 2041.14, "word": " the", "probability": 0.67041015625}, {"start": 2041.14, "end": 2041.36, "word": " power", "probability": 0.79345703125}, {"start": 2041.36, "end": 2041.54, "word": " of", "probability": 0.9599609375}, {"start": 2041.54, "end": 2042.12, "word": " the", "probability": 0.90966796875}, {"start": 2042.12, "end": 2042.34, "word": " rear", "probability": 0.490478515625}, {"start": 2042.34, "end": 2042.44, "word": " surface", "probability": 0.8447265625}, {"start": 2042.44, "end": 2042.9, "word": " easily,", "probability": 0.51416015625}, {"start": 2043.46, "end": 2043.88, "word": " but", "probability": 0.76025390625}, {"start": 2043.88, "end": 2044.4, "word": " the", "probability": 0.67333984375}, {"start": 2044.4, "end": 2044.66, "word": " issue", "probability": 0.281005859375}, {"start": 2044.66, "end": 2046.16, "word": " of", "probability": 0.9052734375}, {"start": 2046.16, "end": 2046.22, "word": " the", "probability": 0.37451171875}, {"start": 2046.22, "end": 2046.66, "word": " vergence", "probability": 0.536468505859375}, {"start": 2046.66, "end": 2047.22, "word": " exchange", "probability": 0.467529296875}, {"start": 2047.22, "end": 2047.54, "word": " on", "probability": 0.77734375}, {"start": 2047.54, "end": 2048.34, "word": " transfer", "probability": 0.6357421875}, {"start": 2048.34, "end": 2049.02, "word": " is", "probability": 0.88134765625}, {"start": 2049.02, "end": 2049.58, "word": " difficult", "probability": 0.88427734375}, {"start": 2049.58, "end": 2049.92, "word": " to", "probability": 0.97705078125}, {"start": 2049.92, "end": 2050.46, "word": " calculate.", "probability": 0.90576171875}, {"start": 2050.56, "end": 2050.66, "word": " That", "probability": 0.2763671875}, {"start": 2050.66, "end": 2050.74, "word": " is,", "probability": 0.78515625}, {"start": 2050.74, "end": 2051.06, "word": " how", "probability": 0.7646484375}, {"start": 2051.06, "end": 2051.44, "word": " much", "probability": 0.8544921875}, {"start": 2051.44, "end": 2051.68, "word": " is", "probability": 0.377197265625}, {"start": 2051.68, "end": 2052.04, "word": " the", "probability": 0.8798828125}, {"start": 2052.04, "end": 2052.04, "word": " share", "probability": 0.3125}, {"start": 2052.04, "end": 2052.7, "word": " of", "probability": 0.93701171875}, {"start": 2052.7, "end": 2052.7, "word": " the", "probability": 0.646484375}, {"start": 2052.7, "end": 2053.02, "word": " transfer", "probability": 0.53173828125}, {"start": 2053.02, "end": 2054.14, "word": " power,", "probability": 0.7880859375}, {"start": 2054.26, "end": 2054.6, "word": " which", "probability": 0.8935546875}, {"start": 2054.6, "end": 2054.86, "word": " is", "probability": 0.92578125}, {"start": 2054.86, "end": 2055.04, "word": " the", "probability": 0.91259765625}, {"start": 2055.04, "end": 2055.3, "word": " power", "probability": 0.818359375}, {"start": 2055.3, "end": 2055.46, "word": " of", "probability": 0.55712890625}, {"start": 2055.46, "end": 2055.82, "word": " the", "probability": 0.7060546875}, {"start": 2055.82, "end": 2056.26, "word": " inside", "probability": 0.60302734375}, {"start": 2056.26, "end": 2056.42, "word": " of", "probability": 0.7001953125}, {"start": 2056.42, "end": 2056.84, "word": " the", "probability": 0.912109375}, {"start": 2056.84, "end": 2056.84, "word": " lens", "probability": 0.8017578125}, {"start": 2056.84, "end": 2057.4, "word": " to", "probability": 0.6650390625}, {"start": 2057.4, "end": 2057.74, "word": " change", "probability": 0.900390625}, {"start": 2057.74, "end": 2057.9, "word": " the", "probability": 0.873046875}, {"start": 2057.9, "end": 2058.8, "word": " oscillation", "probability": 0.453216552734375}, {"start": 2058.8, "end": 2058.86, "word": " state", "probability": 0.71533203125}, {"start": 2058.86, "end": 2059.56, "word": " inside", "probability": 0.64990234375}, {"start": 2059.56, "end": 2059.82, "word": " the", "probability": 0.83642578125}, {"start": 2059.82, "end": 2060.16, "word": " lens.", "probability": 0.91162109375}], "temperature": 1.0}, {"id": 88, "seek": 207084, "start": 2069.44, "end": 2070.84, "text": "However,", "tokens": [6462, 1054, 11], "avg_logprob": -0.568359375, "compression_ratio": 0.5, "no_speech_prob": 5.537271499633789e-05, "words": [{"start": 2069.44, "end": 2070.84, "word": "However,", "probability": 0.6630859375}], "temperature": 1.0}, {"id": 89, "seek": 209817, "start": 2071.59, "end": 2098.17, "text": "because the divergence change on the transfer is small in a thin lens. طبعا العدسات اللي إحنا بنستعملها غالبا عبارة عن عدسات رقيقة يعني ليست عدسات سميكة فالخمل بتاعها أو السمك بتاعها تقريبا أجزاء من الملي أو ملي فبالتالي تعتبر عدسات يعني رقيقة جدا ال power بتاعة ال transfer", "tokens": [17566, 264, 47387, 1319, 322, 264, 5003, 307, 1359, 294, 257, 5862, 6765, 13, 23032, 3555, 3615, 995, 18863, 3215, 3794, 9307, 13672, 1829, 11933, 5016, 8315, 44945, 14851, 25957, 1211, 11296, 32771, 6027, 3555, 995, 6225, 3555, 9640, 3660, 18871, 6225, 3215, 3794, 9307, 12602, 38436, 28671, 37495, 22653, 32239, 14851, 6225, 3215, 3794, 9307, 8608, 2304, 1829, 4117, 3660, 6156, 6027, 9778, 2304, 1211, 39894, 45761, 11296, 34051, 21136, 2304, 4117, 39894, 45761, 11296, 6055, 4587, 16572, 3555, 995, 5551, 7435, 11622, 16606, 9154, 9673, 20292, 34051, 3714, 20292, 6156, 3555, 6027, 2655, 6027, 1829, 6055, 34268, 26890, 6225, 3215, 3794, 9307, 37495, 22653, 12602, 38436, 28671, 10874, 28259, 2423, 1347, 39894, 995, 27884, 2423, 5003], "avg_logprob": -0.16018906836750127, "compression_ratio": 1.7439024390243902, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2071.59, "end": 2072.11, "word": "because", "probability": 0.476318359375}, {"start": 2072.11, "end": 2072.37, "word": " the", "probability": 0.35302734375}, {"start": 2072.37, "end": 2072.87, "word": " divergence", "probability": 0.93798828125}, {"start": 2072.87, "end": 2073.69, "word": " change", "probability": 0.62109375}, {"start": 2073.69, "end": 2073.87, "word": " on", "probability": 0.71142578125}, {"start": 2073.87, "end": 2073.99, "word": " the", "probability": 0.60595703125}, {"start": 2073.99, "end": 2074.43, "word": " transfer", "probability": 0.90576171875}, {"start": 2074.43, "end": 2074.83, "word": " is", "probability": 0.94091796875}, {"start": 2074.83, "end": 2075.37, "word": " small", "probability": 0.90625}, {"start": 2075.37, "end": 2076.05, "word": " in", "probability": 0.89697265625}, {"start": 2076.05, "end": 2076.27, "word": " a", "probability": 0.970703125}, {"start": 2076.27, "end": 2076.53, "word": " thin", "probability": 0.91064453125}, {"start": 2076.53, "end": 2076.95, "word": " lens.", "probability": 0.9287109375}, {"start": 2077.29, "end": 2077.69, "word": " طبعا", "probability": 0.74761962890625}, {"start": 2077.69, "end": 2078.39, "word": " العدسات", "probability": 0.8751220703125}, {"start": 2078.39, "end": 2078.51, "word": " اللي", "probability": 0.86767578125}, {"start": 2078.51, "end": 2078.65, "word": " إحنا", "probability": 0.7410888671875}, {"start": 2078.65, "end": 2079.33, "word": " بنستعملها", "probability": 0.972265625}, {"start": 2079.33, "end": 2079.99, "word": " غالبا", "probability": 0.950439453125}, {"start": 2079.99, "end": 2080.63, "word": " عبارة", "probability": 0.9942626953125}, {"start": 2080.63, "end": 2080.87, "word": " عن", "probability": 0.98779296875}, {"start": 2080.87, "end": 2081.77, "word": " عدسات", "probability": 0.988525390625}, {"start": 2081.77, "end": 2083.51, "word": " رقيقة", "probability": 0.9749348958333334}, {"start": 2083.51, "end": 2083.79, "word": " يعني", "probability": 0.760009765625}, {"start": 2083.79, "end": 2084.15, "word": " ليست", "probability": 0.95703125}, {"start": 2084.15, "end": 2084.61, "word": " عدسات", "probability": 0.990234375}, {"start": 2084.61, "end": 2085.23, "word": " سميكة", "probability": 0.9400390625}, {"start": 2085.23, "end": 2086.55, "word": " فالخمل", "probability": 0.8236328125}, {"start": 2086.55, "end": 2087.13, "word": " بتاعها", "probability": 0.78173828125}, {"start": 2087.13, "end": 2087.41, "word": " أو", "probability": 0.83544921875}, {"start": 2087.41, "end": 2087.99, "word": " السمك", "probability": 0.8504231770833334}, {"start": 2087.99, "end": 2088.87, "word": " بتاعها", "probability": 0.92041015625}, {"start": 2088.87, "end": 2089.97, "word": " تقريبا", "probability": 0.994921875}, {"start": 2089.97, "end": 2090.93, "word": " أجزاء", "probability": 0.97900390625}, {"start": 2090.93, "end": 2091.15, "word": " من", "probability": 0.99658203125}, {"start": 2091.15, "end": 2091.59, "word": " الملي", "probability": 0.5003662109375}, {"start": 2091.59, "end": 2091.91, "word": " أو", "probability": 0.810546875}, {"start": 2091.91, "end": 2092.37, "word": " ملي", "probability": 0.938232421875}, {"start": 2092.37, "end": 2093.31, "word": " فبالتالي", "probability": 0.94775390625}, {"start": 2093.31, "end": 2093.75, "word": " تعتبر", "probability": 0.9207356770833334}, {"start": 2093.75, "end": 2094.63, "word": " عدسات", "probability": 0.9925537109375}, {"start": 2094.63, "end": 2094.99, "word": " يعني", "probability": 0.935791015625}, {"start": 2094.99, "end": 2095.49, "word": " رقيقة", "probability": 0.9876302083333334}, {"start": 2095.49, "end": 2095.87, "word": " جدا", "probability": 0.996826171875}, {"start": 2095.87, "end": 2096.57, "word": " ال", "probability": 0.70849609375}, {"start": 2096.57, "end": 2097.29, "word": " power", "probability": 0.55517578125}, {"start": 2097.29, "end": 2097.59, "word": " بتاعة", "probability": 0.7794596354166666}, {"start": 2097.59, "end": 2097.71, "word": " ال", "probability": 0.708984375}, {"start": 2097.71, "end": 2098.17, "word": " transfer", "probability": 0.974609375}], "temperature": 1.0}, {"id": 90, "seek": 212088, "start": 2098.64, "end": 2120.88, "text": "Power قليل جدا لدرجة يمكن اهمالها من باب التقريب من باب ال approximation هذه ال power بتاعة ال transfer هنهملها و هتصبح ال lens makers equation هتصبح ال lens makers equation طبعا n على o زائد p يسوى n شرط على i", "tokens": [46057, 12174, 20292, 1211, 10874, 28259, 5296, 3215, 47341, 3660, 7251, 43020, 1975, 16095, 6027, 11296, 9154, 4724, 16758, 16712, 4587, 16572, 3555, 9154, 4724, 16758, 2423, 28023, 29538, 2423, 1347, 39894, 995, 27884, 2423, 5003, 8032, 1863, 16095, 1211, 11296, 4032, 8032, 2655, 9381, 49628, 2423, 6765, 19323, 5367, 8032, 2655, 9381, 49628, 2423, 6765, 19323, 5367, 23032, 3555, 3615, 995, 297, 15844, 277, 30767, 16373, 3215, 280, 7251, 3794, 2407, 7578, 297, 13412, 2288, 9566, 15844, 741], "avg_logprob": -0.2351562475785613, "compression_ratio": 1.6157894736842104, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2098.64, "end": 2099.02, "word": "Power", "probability": 0.2471923828125}, {"start": 2099.02, "end": 2099.52, "word": " قليل", "probability": 0.6570638020833334}, {"start": 2099.52, "end": 2100.04, "word": " جدا", "probability": 0.94140625}, {"start": 2100.04, "end": 2102.4, "word": " لدرجة", "probability": 0.8887939453125}, {"start": 2102.4, "end": 2103.0, "word": " يمكن", "probability": 0.92724609375}, {"start": 2103.0, "end": 2103.72, "word": " اهمالها", "probability": 0.885498046875}, {"start": 2103.72, "end": 2104.16, "word": " من", "probability": 0.396728515625}, {"start": 2104.16, "end": 2104.48, "word": " باب", "probability": 0.975830078125}, {"start": 2104.48, "end": 2105.1, "word": " التقريب", "probability": 0.986083984375}, {"start": 2105.1, "end": 2105.26, "word": " من", "probability": 0.6796875}, {"start": 2105.26, "end": 2105.52, "word": " باب", "probability": 0.96337890625}, {"start": 2105.52, "end": 2105.66, "word": " ال", "probability": 0.8427734375}, {"start": 2105.66, "end": 2106.26, "word": " approximation", "probability": 0.8798828125}, {"start": 2106.26, "end": 2107.34, "word": " هذه", "probability": 0.44287109375}, {"start": 2107.34, "end": 2107.68, "word": " ال", "probability": 0.86669921875}, {"start": 2107.68, "end": 2107.98, "word": " power", "probability": 0.85595703125}, {"start": 2107.98, "end": 2108.26, "word": " بتاعة", "probability": 0.8868815104166666}, {"start": 2108.26, "end": 2108.42, "word": " ال", "probability": 0.86083984375}, {"start": 2108.42, "end": 2109.02, "word": " transfer", "probability": 0.986328125}, {"start": 2109.02, "end": 2110.62, "word": " هنهملها", "probability": 0.819677734375}, {"start": 2110.62, "end": 2110.96, "word": " و", "probability": 0.87109375}, {"start": 2110.96, "end": 2111.52, "word": " هتصبح", "probability": 0.961181640625}, {"start": 2111.52, "end": 2111.7, "word": " ال", "probability": 0.94482421875}, {"start": 2111.7, "end": 2112.0, "word": " lens", "probability": 0.9091796875}, {"start": 2112.0, "end": 2112.46, "word": " makers", "probability": 0.318115234375}, {"start": 2112.46, "end": 2113.2, "word": " equation", "probability": 0.9833984375}, {"start": 2113.2, "end": 2113.98, "word": " هتصبح", "probability": 0.833251953125}, {"start": 2113.98, "end": 2114.12, "word": " ال", "probability": 0.8974609375}, {"start": 2114.12, "end": 2114.36, "word": " lens", "probability": 0.953125}, {"start": 2114.36, "end": 2114.74, "word": " makers", "probability": 0.53857421875}, {"start": 2114.74, "end": 2115.54, "word": " equation", "probability": 0.98974609375}, {"start": 2115.54, "end": 2117.22, "word": " طبعا", "probability": 0.85858154296875}, {"start": 2117.22, "end": 2117.72, "word": " n", "probability": 0.4970703125}, {"start": 2117.72, "end": 2117.96, "word": " على", "probability": 0.53857421875}, {"start": 2117.96, "end": 2118.22, "word": " o", "probability": 0.68994140625}, {"start": 2118.22, "end": 2118.66, "word": " زائد", "probability": 0.8063151041666666}, {"start": 2118.66, "end": 2119.0, "word": " p", "probability": 0.548828125}, {"start": 2119.0, "end": 2119.78, "word": " يسوى", "probability": 0.8126220703125}, {"start": 2119.78, "end": 2120.04, "word": " n", "probability": 0.448486328125}, {"start": 2120.04, "end": 2120.38, "word": " شرط", "probability": 0.87060546875}, {"start": 2120.38, "end": 2120.6, "word": " على", "probability": 0.74853515625}, {"start": 2120.6, "end": 2120.88, "word": " i", "probability": 0.5986328125}], "temperature": 1.0}, {"id": 91, "seek": 215007, "start": 2121.03, "end": 2150.07, "text": "here P means the power of the front service plus the power of the back service and we will neglect the power of the transfer because it is very little and it will not affect the correctness of the solution and the solution will be very accurate by a very large percentage of course not 100% accurate because we omitted a very small part of the power that is hardly mentioned in terms of approximation and in terms of facilitating matters", "tokens": [6703, 430, 1355, 264, 1347, 295, 264, 1868, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 293, 321, 486, 17745, 264, 1347, 295, 264, 5003, 570, 309, 307, 588, 707, 293, 309, 486, 406, 3345, 264, 3006, 1287, 295, 264, 3827, 293, 264, 3827, 486, 312, 588, 8559, 538, 257, 588, 2416, 9668, 295, 1164, 406, 2319, 4, 8559, 570, 321, 3406, 3944, 257, 588, 1359, 644, 295, 264, 1347, 300, 307, 13572, 2835, 294, 2115, 295, 28023, 293, 294, 2115, 295, 47558, 7001], "avg_logprob": -0.44852940895978144, "compression_ratio": 1.9684684684684686, "no_speech_prob": 1.3113021850585938e-05, "words": [{"start": 2121.03, "end": 2121.33, "word": "here", "probability": 0.25537109375}, {"start": 2121.33, "end": 2121.57, "word": " P", "probability": 0.2177734375}, {"start": 2121.57, "end": 2122.21, "word": " means", "probability": 0.394775390625}, {"start": 2122.21, "end": 2122.53, "word": " the", "probability": 0.394287109375}, {"start": 2122.53, "end": 2122.81, "word": " power", "probability": 0.5966796875}, {"start": 2122.81, "end": 2123.07, "word": " of", "probability": 0.85009765625}, {"start": 2123.07, "end": 2123.27, "word": " the", "probability": 0.5498046875}, {"start": 2123.27, "end": 2123.57, "word": " front", "probability": 0.87890625}, {"start": 2123.57, "end": 2124.11, "word": " service", "probability": 0.81005859375}, {"start": 2124.11, "end": 2124.37, "word": " plus", "probability": 0.442626953125}, {"start": 2124.37, "end": 2124.61, "word": " the", "probability": 0.80859375}, {"start": 2124.61, "end": 2124.87, "word": " power", "probability": 0.751953125}, {"start": 2124.87, "end": 2125.07, "word": " of", "probability": 0.9619140625}, {"start": 2125.07, "end": 2125.33, "word": " the", "probability": 0.873046875}, {"start": 2125.33, "end": 2125.63, "word": " back", "probability": 0.8642578125}, {"start": 2125.63, "end": 2126.11, "word": " service", "probability": 0.861328125}, {"start": 2126.11, "end": 2126.51, "word": " and", "probability": 0.59228515625}, {"start": 2126.51, "end": 2126.77, "word": " we", "probability": 0.72998046875}, {"start": 2126.77, "end": 2126.77, "word": " will", "probability": 0.5166015625}, {"start": 2126.77, "end": 2127.19, "word": " neglect", "probability": 0.479248046875}, {"start": 2127.19, "end": 2127.69, "word": " the", "probability": 0.8134765625}, {"start": 2127.69, "end": 2128.03, "word": " power", "probability": 0.48828125}, {"start": 2128.03, "end": 2128.29, "word": " of", "probability": 0.90380859375}, {"start": 2128.29, "end": 2128.51, "word": " the", "probability": 0.61181640625}, {"start": 2128.51, "end": 2128.93, "word": " transfer", "probability": 0.87548828125}, {"start": 2128.93, "end": 2129.17, "word": " because", "probability": 0.7880859375}, {"start": 2129.17, "end": 2129.31, "word": " it", "probability": 0.8828125}, {"start": 2129.31, "end": 2129.31, "word": " is", "probability": 0.66259765625}, {"start": 2129.31, "end": 2129.43, "word": " very", "probability": 0.65283203125}, {"start": 2129.43, "end": 2129.67, "word": " little", "probability": 0.380126953125}, {"start": 2129.67, "end": 2130.15, "word": " and", "probability": 0.578125}, {"start": 2130.15, "end": 2130.23, "word": " it", "probability": 0.5947265625}, {"start": 2130.23, "end": 2130.39, "word": " will", "probability": 0.67431640625}, {"start": 2130.39, "end": 2130.39, "word": " not", "probability": 0.91064453125}, {"start": 2130.39, "end": 2130.97, "word": " affect", "probability": 0.88427734375}, {"start": 2130.97, "end": 2133.05, "word": " the", "probability": 0.7802734375}, {"start": 2133.05, "end": 2133.77, "word": " correctness", "probability": 0.48931884765625}, {"start": 2133.77, "end": 2133.87, "word": " of", "probability": 0.958984375}, {"start": 2133.87, "end": 2133.97, "word": " the", "probability": 0.9130859375}, {"start": 2133.97, "end": 2134.19, "word": " solution", "probability": 0.8408203125}, {"start": 2134.19, "end": 2134.67, "word": " and", "probability": 0.74951171875}, {"start": 2134.67, "end": 2135.83, "word": " the", "probability": 0.6015625}, {"start": 2135.83, "end": 2136.19, "word": " solution", "probability": 0.833984375}, {"start": 2136.19, "end": 2136.31, "word": " will", "probability": 0.77587890625}, {"start": 2136.31, "end": 2136.31, "word": " be", "probability": 0.92333984375}, {"start": 2136.31, "end": 2136.35, "word": " very", "probability": 0.76904296875}, {"start": 2136.35, "end": 2136.67, "word": " accurate", "probability": 0.39501953125}, {"start": 2136.67, "end": 2137.13, "word": " by", "probability": 0.340087890625}, {"start": 2137.13, "end": 2137.69, "word": " a", "probability": 0.65771484375}, {"start": 2137.69, "end": 2137.71, "word": " very", "probability": 0.54248046875}, {"start": 2137.71, "end": 2139.11, "word": " large", "probability": 0.78466796875}, {"start": 2139.11, "end": 2139.31, "word": " percentage", "probability": 0.7421875}, {"start": 2139.31, "end": 2139.71, "word": " of", "probability": 0.464111328125}, {"start": 2139.71, "end": 2139.85, "word": " course", "probability": 0.9423828125}, {"start": 2139.85, "end": 2140.05, "word": " not", "probability": 0.64599609375}, {"start": 2140.05, "end": 2140.53, "word": " 100", "probability": 0.493408203125}, {"start": 2140.53, "end": 2141.13, "word": "%", "probability": 0.837890625}, {"start": 2141.13, "end": 2141.13, "word": " accurate", "probability": 0.6279296875}, {"start": 2141.13, "end": 2141.51, "word": " because", "probability": 0.84521484375}, {"start": 2141.51, "end": 2142.65, "word": " we", "probability": 0.91650390625}, {"start": 2142.65, "end": 2142.99, "word": " omitted", "probability": 0.53009033203125}, {"start": 2142.99, "end": 2143.21, "word": " a", "probability": 0.92724609375}, {"start": 2143.21, "end": 2143.45, "word": " very", "probability": 0.7978515625}, {"start": 2143.45, "end": 2143.85, "word": " small", "probability": 0.767578125}, {"start": 2143.85, "end": 2143.93, "word": " part", "probability": 0.7119140625}, {"start": 2143.93, "end": 2144.99, "word": " of", "probability": 0.90869140625}, {"start": 2144.99, "end": 2145.23, "word": " the", "probability": 0.8447265625}, {"start": 2145.23, "end": 2145.55, "word": " power", "probability": 0.875}, {"start": 2145.55, "end": 2145.73, "word": " that", "probability": 0.243896484375}, {"start": 2145.73, "end": 2145.85, "word": " is", "probability": 0.79931640625}, {"start": 2145.85, "end": 2146.01, "word": " hardly", "probability": 0.49365234375}, {"start": 2146.01, "end": 2146.57, "word": " mentioned", "probability": 0.7451171875}, {"start": 2146.57, "end": 2146.77, "word": " in", "probability": 0.689453125}, {"start": 2146.77, "end": 2147.15, "word": " terms", "probability": 0.67578125}, {"start": 2147.15, "end": 2147.23, "word": " of", "probability": 0.966796875}, {"start": 2147.23, "end": 2147.89, "word": " approximation", "probability": 0.646484375}, {"start": 2147.89, "end": 2148.39, "word": " and", "probability": 0.8701171875}, {"start": 2148.39, "end": 2148.39, "word": " in", "probability": 0.2015380859375}, {"start": 2148.39, "end": 2148.57, "word": " terms", "probability": 0.9013671875}, {"start": 2148.57, "end": 2148.77, "word": " of", "probability": 0.97021484375}, {"start": 2148.77, "end": 2149.23, "word": " facilitating", "probability": 0.471923828125}, {"start": 2149.23, "end": 2150.07, "word": " matters", "probability": 0.364990234375}], "temperature": 1.0}, {"id": 92, "seek": 216985, "start": 2151.33, "end": 2169.85, "text": "However, because the divergence change on the transfer is small in a thin lens, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored, it is ignored", "tokens": [6462, 1054, 11, 570, 264, 47387, 1319, 322, 264, 5003, 307, 1359, 294, 257, 5862, 6765, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735, 11, 309, 307, 19735], "avg_logprob": -0.09590278095669216, "compression_ratio": 9.862068965517242, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 2151.33, "end": 2151.81, "word": "However,", "probability": 0.7333984375}, {"start": 2152.11, "end": 2152.49, "word": " because", "probability": 0.83837890625}, {"start": 2152.49, "end": 2152.69, "word": " the", "probability": 0.36083984375}, {"start": 2152.69, "end": 2153.07, "word": " divergence", "probability": 0.94921875}, {"start": 2153.07, "end": 2153.67, "word": " change", "probability": 0.81640625}, {"start": 2153.67, "end": 2153.85, "word": " on", "probability": 0.61767578125}, {"start": 2153.85, "end": 2153.97, "word": " the", "probability": 0.54345703125}, {"start": 2153.97, "end": 2154.35, "word": " transfer", "probability": 0.908203125}, {"start": 2154.35, "end": 2154.77, "word": " is", "probability": 0.93212890625}, {"start": 2154.77, "end": 2155.29, "word": " small", "probability": 0.9013671875}, {"start": 2155.29, "end": 2155.49, "word": " in", "probability": 0.91552734375}, {"start": 2155.49, "end": 2155.73, "word": " a", "probability": 0.92626953125}, {"start": 2155.73, "end": 2155.93, "word": " thin", "probability": 0.9013671875}, {"start": 2155.93, "end": 2156.29, "word": " lens,", "probability": 0.95703125}, {"start": 2156.81, "end": 2157.01, "word": " it", "probability": 0.919921875}, {"start": 2157.01, "end": 2157.27, "word": " is", "probability": 0.93310546875}, {"start": 2157.27, "end": 2157.91, "word": " ignored,", "probability": 0.8095703125}, {"start": 2158.03, "end": 2158.39, "word": " it", "probability": 0.83203125}, {"start": 2158.39, "end": 2158.61, "word": " is", "probability": 0.9443359375}, {"start": 2158.61, "end": 2159.19, "word": " ignored,", "probability": 0.857421875}, {"start": 2159.47, "end": 2159.63, "word": " it", "probability": 0.1917724609375}, {"start": 2159.63, "end": 2159.87, "word": " is", "probability": 0.5478515625}, {"start": 2159.87, "end": 2160.29, "word": " ignored,", "probability": 0.4375}, {"start": 2161.73, "end": 2161.73, "word": " it", "probability": 0.4150390625}, {"start": 2161.73, "end": 2161.73, "word": " is", "probability": 0.82958984375}, {"start": 2161.73, "end": 2161.73, "word": " ignored,", "probability": 0.869140625}, {"start": 2161.73, "end": 2161.73, "word": " it", "probability": 0.775390625}, {"start": 2161.73, "end": 2161.73, "word": " is", "probability": 0.93212890625}, {"start": 2161.73, "end": 2161.73, "word": " ignored,", "probability": 0.9033203125}, {"start": 2161.73, "end": 2161.73, "word": " it", "probability": 0.873046875}, {"start": 2161.73, "end": 2161.73, "word": " is", "probability": 0.9462890625}, {"start": 2161.73, "end": 2161.73, "word": " ignored,", "probability": 0.90625}, {"start": 2161.73, "end": 2161.73, "word": " it", "probability": 0.8994140625}, {"start": 2161.73, "end": 2161.73, "word": " is", "probability": 0.95068359375}, {"start": 2161.73, "end": 2161.73, "word": " ignored,", "probability": 0.9111328125}, {"start": 2161.73, "end": 2161.73, "word": " it", "probability": 0.91650390625}, {"start": 2161.73, "end": 2161.73, "word": " is", "probability": 0.95263671875}, {"start": 2161.73, "end": 2161.73, "word": " ignored,", "probability": 0.9169921875}, {"start": 2161.73, "end": 2161.73, "word": " it", "probability": 0.9306640625}, {"start": 2161.73, "end": 2161.73, "word": " is", "probability": 0.9541015625}, {"start": 2161.73, "end": 2161.73, "word": " ignored,", "probability": 0.9228515625}, {"start": 2161.73, "end": 2161.73, "word": " it", "probability": 0.9404296875}, {"start": 2161.73, "end": 2161.73, "word": " is", "probability": 0.95556640625}, {"start": 2161.73, "end": 2161.73, "word": " ignored,", "probability": 0.9267578125}, {"start": 2161.73, "end": 2162.33, "word": " it", "probability": 0.94580078125}, {"start": 2162.33, "end": 2162.33, "word": " is", "probability": 0.9560546875}, {"start": 2162.33, "end": 2162.33, "word": " ignored,", "probability": 0.93212890625}, {"start": 2162.43, "end": 2162.43, "word": " it", "probability": 0.9501953125}, {"start": 2162.43, "end": 2162.43, "word": " is", "probability": 0.955078125}, {"start": 2162.43, "end": 2162.43, "word": " ignored,", "probability": 0.93603515625}, {"start": 2162.49, "end": 2162.49, "word": " it", "probability": 0.95263671875}, {"start": 2162.49, "end": 2162.49, "word": " is", "probability": 0.95654296875}, {"start": 2162.49, "end": 2162.49, "word": " ignored,", "probability": 0.939453125}, {"start": 2163.17, "end": 2163.29, "word": " it", "probability": 0.955078125}, {"start": 2163.29, "end": 2163.49, "word": " is", "probability": 0.95654296875}, {"start": 2163.49, "end": 2163.49, "word": " ignored,", "probability": 0.9423828125}, {"start": 2163.49, "end": 2163.49, "word": " it", "probability": 0.9560546875}, {"start": 2163.49, "end": 2163.49, "word": " is", "probability": 0.9560546875}, {"start": 2163.49, "end": 2163.49, "word": " ignored,", "probability": 0.94482421875}, {"start": 2163.49, "end": 2163.49, "word": " it", "probability": 0.95703125}, {"start": 2163.49, "end": 2163.49, "word": " is", "probability": 0.95703125}, {"start": 2163.49, "end": 2163.49, "word": " ignored,", "probability": 0.9462890625}, {"start": 2163.49, "end": 2163.49, "word": " it", "probability": 0.95751953125}, {"start": 2163.49, "end": 2163.49, "word": " is", "probability": 0.9560546875}, {"start": 2163.49, "end": 2163.49, "word": " ignored,", "probability": 0.94775390625}, {"start": 2163.49, "end": 2163.49, "word": " it", "probability": 0.95751953125}, {"start": 2163.49, "end": 2163.75, "word": " is", "probability": 0.95654296875}, {"start": 2163.75, "end": 2163.79, "word": " ignored,", "probability": 0.9501953125}, {"start": 2163.81, "end": 2164.05, "word": " it", "probability": 0.95849609375}, {"start": 2164.05, "end": 2164.07, "word": " is", "probability": 0.95654296875}, {"start": 2164.07, "end": 2164.07, "word": " ignored,", "probability": 0.951171875}, {"start": 2164.39, "end": 2164.43, "word": " it", "probability": 0.95849609375}, {"start": 2164.43, "end": 2164.43, "word": " is", "probability": 0.95654296875}, {"start": 2164.43, "end": 2164.43, "word": " ignored,", "probability": 0.95263671875}, {"start": 2164.43, "end": 2166.07, "word": " it", "probability": 0.9599609375}, {"start": 2166.07, "end": 2166.07, "word": " is", "probability": 0.95654296875}, {"start": 2166.07, "end": 2166.27, "word": " ignored,", "probability": 0.9541015625}, {"start": 2166.27, "end": 2166.27, "word": " it", "probability": 0.95947265625}, {"start": 2166.27, "end": 2166.27, "word": " is", "probability": 0.95654296875}, {"start": 2166.27, "end": 2166.27, "word": " ignored,", "probability": 0.9560546875}, {"start": 2166.27, "end": 2166.27, "word": " it", "probability": 0.95947265625}, {"start": 2166.27, "end": 2166.27, "word": " is", "probability": 0.95654296875}, {"start": 2166.27, "end": 2166.73, "word": " ignored,", "probability": 0.95703125}, {"start": 2166.97, "end": 2166.97, "word": " it", "probability": 0.95947265625}, {"start": 2166.97, "end": 2166.97, "word": " is", "probability": 0.9560546875}, {"start": 2166.97, "end": 2166.97, "word": " ignored,", "probability": 0.9580078125}, {"start": 2166.97, "end": 2166.97, "word": " it", "probability": 0.95947265625}, {"start": 2166.97, "end": 2166.97, "word": " is", "probability": 0.9560546875}, {"start": 2166.97, "end": 2166.97, "word": " ignored,", "probability": 0.95947265625}, {"start": 2167.15, "end": 2167.15, "word": " it", "probability": 0.96044921875}, {"start": 2167.15, "end": 2167.15, "word": " is", "probability": 0.95751953125}, {"start": 2167.15, "end": 2167.15, "word": " ignored,", "probability": 0.96044921875}, {"start": 2167.15, "end": 2167.15, "word": " it", "probability": 0.96044921875}, {"start": 2167.15, "end": 2167.15, "word": " is", "probability": 0.9560546875}, {"start": 2167.15, "end": 2167.15, "word": " ignored,", "probability": 0.9619140625}, {"start": 2167.15, "end": 2167.15, "word": " it", "probability": 0.9599609375}, {"start": 2167.15, "end": 2167.15, "word": " is", "probability": 0.9560546875}, {"start": 2167.15, "end": 2167.15, "word": " ignored,", "probability": 0.962890625}, {"start": 2167.15, "end": 2167.15, "word": " it", "probability": 0.96044921875}, {"start": 2167.15, "end": 2167.15, "word": " is", "probability": 0.9560546875}, {"start": 2167.15, "end": 2167.15, "word": " ignored,", "probability": 0.9638671875}, {"start": 2167.15, "end": 2167.15, "word": " it", "probability": 0.9599609375}, {"start": 2167.15, "end": 2167.15, "word": " is", "probability": 0.9560546875}, {"start": 2167.15, "end": 2167.15, "word": " ignored,", "probability": 0.96533203125}, {"start": 2167.15, "end": 2167.15, "word": " it", "probability": 0.96044921875}, {"start": 2167.15, "end": 2167.15, "word": " is", "probability": 0.9560546875}, {"start": 2167.15, "end": 2167.15, "word": " ignored,", "probability": 0.966796875}, {"start": 2167.15, "end": 2167.15, "word": " it", "probability": 0.9599609375}, {"start": 2167.15, "end": 2167.15, "word": " is", "probability": 0.9560546875}, {"start": 2167.15, "end": 2167.15, "word": " ignored,", "probability": 0.9677734375}, {"start": 2167.15, "end": 2167.15, "word": " it", "probability": 0.9599609375}, {"start": 2167.15, "end": 2167.15, "word": " is", "probability": 0.95556640625}, {"start": 2167.15, "end": 2167.15, "word": " ignored,", "probability": 0.96923828125}, {"start": 2167.47, "end": 2167.53, "word": " it", "probability": 0.9609375}, {"start": 2167.53, "end": 2167.53, "word": " is", "probability": 0.95556640625}, {"start": 2167.53, "end": 2167.53, "word": " ignored,", "probability": 0.970703125}, {"start": 2167.71, "end": 2167.71, "word": " it", "probability": 0.9609375}, {"start": 2167.71, "end": 2167.71, "word": " is", "probability": 0.95556640625}, {"start": 2167.71, "end": 2167.71, "word": " ignored,", "probability": 0.9716796875}, {"start": 2167.75, "end": 2167.75, "word": " it", "probability": 0.9609375}, {"start": 2167.75, "end": 2167.75, "word": " is", "probability": 0.9541015625}, {"start": 2167.75, "end": 2167.75, "word": " ignored,", "probability": 0.97314453125}, {"start": 2167.75, "end": 2167.75, "word": " it", "probability": 0.96142578125}, {"start": 2167.75, "end": 2167.75, "word": " is", "probability": 0.95556640625}, {"start": 2167.75, "end": 2167.75, "word": " ignored,", "probability": 0.97412109375}, {"start": 2167.75, "end": 2167.75, "word": " it", "probability": 0.96044921875}, {"start": 2167.75, "end": 2167.75, "word": " is", "probability": 0.9541015625}, {"start": 2167.75, "end": 2167.75, "word": " ignored,", "probability": 0.97509765625}, {"start": 2167.77, "end": 2167.77, "word": " it", "probability": 0.9599609375}, {"start": 2167.77, "end": 2167.77, "word": " is", "probability": 0.95556640625}, {"start": 2167.77, "end": 2167.77, "word": " ignored,", "probability": 0.97607421875}, {"start": 2167.77, "end": 2167.77, "word": " it", "probability": 0.9599609375}, {"start": 2167.77, "end": 2167.77, "word": " is", "probability": 0.95556640625}, {"start": 2167.77, "end": 2167.77, "word": " ignored,", "probability": 0.9765625}, {"start": 2167.77, "end": 2167.77, "word": " it", "probability": 0.95947265625}, {"start": 2167.77, "end": 2167.77, "word": " is", "probability": 0.95556640625}, {"start": 2167.77, "end": 2167.77, "word": " ignored,", "probability": 0.9765625}, {"start": 2167.77, "end": 2167.77, "word": " it", "probability": 0.96044921875}, {"start": 2167.77, "end": 2167.77, "word": " is", "probability": 0.9541015625}, {"start": 2167.77, "end": 2167.77, "word": " ignored,", "probability": 0.97705078125}, {"start": 2167.77, "end": 2167.77, "word": " it", "probability": 0.9599609375}, {"start": 2167.77, "end": 2167.77, "word": " is", "probability": 0.9541015625}, {"start": 2167.77, "end": 2167.77, "word": " ignored,", "probability": 0.9775390625}, {"start": 2167.81, "end": 2167.81, "word": " it", "probability": 0.95947265625}, {"start": 2167.81, "end": 2167.81, "word": " is", "probability": 0.9541015625}, {"start": 2167.81, "end": 2167.81, "word": " ignored,", "probability": 0.9775390625}, {"start": 2167.81, "end": 2167.81, "word": " it", "probability": 0.95947265625}, {"start": 2167.81, "end": 2167.81, "word": " is", "probability": 0.953125}, {"start": 2167.81, "end": 2167.81, "word": " ignored,", "probability": 0.9775390625}, {"start": 2167.81, "end": 2167.81, "word": " it", "probability": 0.9599609375}, {"start": 2167.81, "end": 2167.81, "word": " is", "probability": 0.953125}, {"start": 2167.81, "end": 2167.81, "word": " ignored,", "probability": 0.9775390625}, {"start": 2167.81, "end": 2167.81, "word": " it", "probability": 0.958984375}, {"start": 2167.81, "end": 2167.81, "word": " is", "probability": 0.95458984375}, {"start": 2167.81, "end": 2167.81, "word": " ignored,", "probability": 0.9775390625}, {"start": 2167.81, "end": 2167.81, "word": " it", "probability": 0.95849609375}, {"start": 2167.81, "end": 2167.81, "word": " is", "probability": 0.95458984375}, {"start": 2167.81, "end": 2167.81, "word": " ignored,", "probability": 0.9775390625}, {"start": 2167.81, "end": 2167.81, "word": " it", "probability": 0.958984375}, {"start": 2167.81, "end": 2167.81, "word": " is", "probability": 0.95458984375}, {"start": 2167.81, "end": 2167.81, "word": " ignored,", "probability": 0.97705078125}, {"start": 2167.81, "end": 2167.81, "word": " it", "probability": 0.95849609375}, {"start": 2167.81, "end": 2167.81, "word": " is", "probability": 0.95361328125}, {"start": 2167.81, "end": 2167.81, "word": " ignored,", "probability": 0.97705078125}, {"start": 2169.69, "end": 2169.69, "word": " it", "probability": 0.95751953125}, {"start": 2169.69, "end": 2169.69, "word": " is", "probability": 0.955078125}, {"start": 2169.69, "end": 2169.69, "word": " ignored,", "probability": 0.9775390625}, {"start": 2169.69, "end": 2169.69, "word": " it", "probability": 0.95654296875}, {"start": 2169.69, "end": 2169.69, "word": " is", "probability": 0.95361328125}, {"start": 2169.69, "end": 2169.85, "word": " ignored", "probability": 0.9775390625}], "temperature": 1.0}, {"id": 93, "seek": 219962, "start": 2170.44, "end": 2199.62, "text": "المقاربة او التقريب بتاع العدسات الرقيقة و طبعا هذا الكلام لا يصلح ابدا اذا عندي العدسة يعني thick lens لا يصلح ابدا اذا العدسة عندي thick lens و هانعيد كتابة ال lens maker equation ناقص N على O زائد ال power يساوي Uncharted على I هذه المعادلة الجديدة اسمها thin lens equation اسمها thin lens equation ممكن انسان يسأل يقول هى نفس", "tokens": [6027, 2304, 4587, 9640, 49401, 1975, 2407, 16712, 4587, 16572, 3555, 39894, 45761, 18863, 3215, 3794, 9307, 34892, 38436, 28671, 4032, 23032, 3555, 3615, 995, 23758, 2423, 28820, 10943, 20193, 7251, 36520, 5016, 1975, 44510, 995, 1975, 15730, 18871, 16254, 18863, 3215, 3794, 3660, 37495, 22653, 5060, 6765, 20193, 7251, 36520, 5016, 1975, 44510, 995, 1975, 15730, 18863, 3215, 3794, 3660, 18871, 16254, 5060, 6765, 4032, 8032, 7649, 3615, 25708, 9122, 2655, 16758, 3660, 2423, 6765, 17127, 5367, 8717, 995, 4587, 9381, 426, 15844, 422, 30767, 16373, 3215, 2423, 1347, 7251, 3794, 995, 45865, 1156, 339, 47350, 15844, 286, 29538, 9673, 3615, 18513, 37977, 25724, 16254, 41891, 24525, 2304, 11296, 5862, 6765, 5367, 24525, 2304, 11296, 5862, 6765, 5367, 3714, 43020, 16472, 3794, 7649, 7251, 3794, 10721, 1211, 7251, 39648, 8032, 7578, 8717, 36178], "avg_logprob": -0.1893518454498715, "compression_ratio": 1.879120879120879, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 2170.44, "end": 2171.38, "word": "المقاربة", "probability": 0.7962432861328125}, {"start": 2171.38, "end": 2171.66, "word": " او", "probability": 0.7489013671875}, {"start": 2171.66, "end": 2172.28, "word": " التقريب", "probability": 0.9390869140625}, {"start": 2172.28, "end": 2172.74, "word": " بتاع", "probability": 0.979736328125}, {"start": 2172.74, "end": 2173.7, "word": " العدسات", "probability": 0.9754638671875}, {"start": 2173.7, "end": 2175.2, "word": " الرقيقة", "probability": 0.94287109375}, {"start": 2175.2, "end": 2175.32, "word": " و", "probability": 0.361083984375}, {"start": 2175.32, "end": 2175.56, "word": " طبعا", "probability": 0.86102294921875}, {"start": 2175.56, "end": 2175.76, "word": " هذا", "probability": 0.876953125}, {"start": 2175.76, "end": 2176.14, "word": " الكلام", "probability": 0.9715169270833334}, {"start": 2176.14, "end": 2176.28, "word": " لا", "probability": 0.74755859375}, {"start": 2176.28, "end": 2176.66, "word": " يصلح", "probability": 0.9259440104166666}, {"start": 2176.66, "end": 2177.16, "word": " ابدا", "probability": 0.6630859375}, {"start": 2177.16, "end": 2177.32, "word": " اذا", "probability": 0.865478515625}, {"start": 2177.32, "end": 2177.6, "word": " عندي", "probability": 0.861083984375}, {"start": 2177.6, "end": 2178.22, "word": " العدسة", "probability": 0.979248046875}, {"start": 2178.22, "end": 2178.96, "word": " يعني", "probability": 0.686279296875}, {"start": 2178.96, "end": 2179.76, "word": " thick", "probability": 0.8193359375}, {"start": 2179.76, "end": 2180.08, "word": " lens", "probability": 0.87158203125}, {"start": 2180.08, "end": 2180.26, "word": " لا", "probability": 0.46142578125}, {"start": 2180.26, "end": 2180.7, "word": " يصلح", "probability": 0.9296875}, {"start": 2180.7, "end": 2181.1, "word": " ابدا", "probability": 0.85107421875}, {"start": 2181.1, "end": 2181.26, "word": " اذا", "probability": 0.9736328125}, {"start": 2181.26, "end": 2181.76, "word": " العدسة", "probability": 0.9754638671875}, {"start": 2181.76, "end": 2182.08, "word": " عندي", "probability": 0.939453125}, {"start": 2182.08, "end": 2182.78, "word": " thick", "probability": 0.91455078125}, {"start": 2182.78, "end": 2183.12, "word": " lens", "probability": 0.90966796875}, {"start": 2183.12, "end": 2183.52, "word": " و", "probability": 0.88232421875}, {"start": 2183.52, "end": 2184.22, "word": " هانعيد", "probability": 0.73394775390625}, {"start": 2184.22, "end": 2184.8, "word": " كتابة", "probability": 0.994140625}, {"start": 2184.8, "end": 2184.96, "word": " ال", "probability": 0.6328125}, {"start": 2184.96, "end": 2185.14, "word": " lens", "probability": 0.9150390625}, {"start": 2185.14, "end": 2185.52, "word": " maker", "probability": 0.8076171875}, {"start": 2185.52, "end": 2186.1, "word": " equation", "probability": 0.98681640625}, {"start": 2186.1, "end": 2186.64, "word": " ناقص", "probability": 0.8953857421875}, {"start": 2186.64, "end": 2186.9, "word": " N", "probability": 0.446044921875}, {"start": 2186.9, "end": 2187.12, "word": " على", "probability": 0.72314453125}, {"start": 2187.12, "end": 2187.46, "word": " O", "probability": 0.9541015625}, {"start": 2187.46, "end": 2188.06, "word": " زائد", "probability": 0.8636067708333334}, {"start": 2188.06, "end": 2188.22, "word": " ال", "probability": 0.9560546875}, {"start": 2188.22, "end": 2188.58, "word": " power", "probability": 0.896484375}, {"start": 2188.58, "end": 2189.64, "word": " يساوي", "probability": 0.8720703125}, {"start": 2189.64, "end": 2190.2, "word": " Uncharted", "probability": 0.4812825520833333}, {"start": 2190.2, "end": 2190.78, "word": " على", "probability": 0.853515625}, {"start": 2190.78, "end": 2191.08, "word": " I", "probability": 0.9521484375}, {"start": 2191.08, "end": 2191.64, "word": " هذه", "probability": 0.693359375}, {"start": 2191.64, "end": 2192.5, "word": " المعادلة", "probability": 0.991943359375}, {"start": 2192.5, "end": 2193.08, "word": " الجديدة", "probability": 0.9698893229166666}, {"start": 2193.08, "end": 2193.84, "word": " اسمها", "probability": 0.95068359375}, {"start": 2193.84, "end": 2194.22, "word": " thin", "probability": 0.62841796875}, {"start": 2194.22, "end": 2194.74, "word": " lens", "probability": 0.92822265625}, {"start": 2194.74, "end": 2195.64, "word": " equation", "probability": 0.99072265625}, {"start": 2195.64, "end": 2196.64, "word": " اسمها", "probability": 0.90869140625}, {"start": 2196.64, "end": 2196.86, "word": " thin", "probability": 0.83544921875}, {"start": 2196.86, "end": 2197.2, "word": " lens", "probability": 0.9326171875}, {"start": 2197.2, "end": 2197.7, "word": " equation", "probability": 0.9912109375}, {"start": 2197.7, "end": 2198.26, "word": " ممكن", "probability": 0.982666015625}, {"start": 2198.26, "end": 2198.62, "word": " انسان", "probability": 0.9029947916666666}, {"start": 2198.62, "end": 2198.94, "word": " يسأل", "probability": 0.9300537109375}, {"start": 2198.94, "end": 2199.1, "word": " يقول", "probability": 0.5621337890625}, {"start": 2199.1, "end": 2199.26, "word": " هى", "probability": 0.7200927734375}, {"start": 2199.26, "end": 2199.62, "word": " نفس", "probability": 0.99609375}], "temperature": 1.0}, {"id": 94, "seek": 222694, "start": 2200.29, "end": 2226.95, "text": "نفس كتابة ال lens maker equation لأن ال lens maker equation عبارة عن ناقص N على O زائد P و سواء شرط على I بنقول الكلام فعلا صحيح ال lens maker equation و ال thin lens equation هم نفس المعادلة بس اللهم لما أنا بحكي lens maker equation أنا بقصد فيها single refracting surface سطح واحد", "tokens": [1863, 36178, 9122, 2655, 16758, 3660, 2423, 6765, 17127, 5367, 5296, 33456, 2423, 6765, 17127, 5367, 6225, 3555, 9640, 3660, 18871, 8717, 995, 4587, 9381, 426, 15844, 422, 30767, 16373, 3215, 430, 4032, 8608, 2407, 16606, 13412, 2288, 9566, 15844, 286, 44945, 39648, 2423, 28820, 10943, 6156, 3615, 15040, 20328, 5016, 1829, 5016, 2423, 6765, 17127, 5367, 4032, 2423, 5862, 6765, 5367, 8032, 2304, 8717, 36178, 9673, 3615, 18513, 37977, 4724, 3794, 13672, 16095, 5296, 15042, 41850, 4724, 5016, 4117, 1829, 6765, 17127, 5367, 41850, 4724, 4587, 9381, 3215, 8978, 11296, 2167, 45353, 278, 3753, 8608, 9566, 5016, 36764, 24401], "avg_logprob": -0.18053836751692365, "compression_ratio": 1.7304347826086957, "no_speech_prob": 0.0, "words": [{"start": 2200.29, "end": 2200.69, "word": "نفس", "probability": 0.5340576171875}, {"start": 2200.69, "end": 2201.41, "word": " كتابة", "probability": 0.9940185546875}, {"start": 2201.41, "end": 2201.85, "word": " ال", "probability": 0.77099609375}, {"start": 2201.85, "end": 2202.15, "word": " lens", "probability": 0.497314453125}, {"start": 2202.15, "end": 2202.55, "word": " maker", "probability": 0.24755859375}, {"start": 2202.55, "end": 2203.31, "word": " equation", "probability": 0.7783203125}, {"start": 2203.31, "end": 2204.01, "word": " لأن", "probability": 0.74365234375}, {"start": 2204.01, "end": 2204.17, "word": " ال", "probability": 0.6435546875}, {"start": 2204.17, "end": 2204.43, "word": " lens", "probability": 0.93896484375}, {"start": 2204.43, "end": 2204.71, "word": " maker", "probability": 0.884765625}, {"start": 2204.71, "end": 2205.29, "word": " equation", "probability": 0.986328125}, {"start": 2205.29, "end": 2205.69, "word": " عبارة", "probability": 0.9879150390625}, {"start": 2205.69, "end": 2205.91, "word": " عن", "probability": 0.9951171875}, {"start": 2205.91, "end": 2206.35, "word": " ناقص", "probability": 0.9293212890625}, {"start": 2206.35, "end": 2206.59, "word": " N", "probability": 0.268798828125}, {"start": 2206.59, "end": 2206.83, "word": " على", "probability": 0.703125}, {"start": 2206.83, "end": 2207.07, "word": " O", "probability": 0.89306640625}, {"start": 2207.07, "end": 2207.45, "word": " زائد", "probability": 0.7942708333333334}, {"start": 2207.45, "end": 2207.67, "word": " P", "probability": 0.8056640625}, {"start": 2207.67, "end": 2207.85, "word": " و", "probability": 0.284912109375}, {"start": 2207.85, "end": 2208.07, "word": " سواء", "probability": 0.70458984375}, {"start": 2208.07, "end": 2208.51, "word": " شرط", "probability": 0.9072265625}, {"start": 2208.51, "end": 2208.69, "word": " على", "probability": 0.853515625}, {"start": 2208.69, "end": 2208.93, "word": " I", "probability": 0.9833984375}, {"start": 2208.93, "end": 2209.23, "word": " بنقول", "probability": 0.7073974609375}, {"start": 2209.23, "end": 2209.59, "word": " الكلام", "probability": 0.9205729166666666}, {"start": 2209.59, "end": 2210.05, "word": " فعلا", "probability": 0.91748046875}, {"start": 2210.05, "end": 2210.57, "word": " صحيح", "probability": 0.9949951171875}, {"start": 2210.57, "end": 2211.15, "word": " ال", "probability": 0.9267578125}, {"start": 2211.15, "end": 2211.55, "word": " lens", "probability": 0.97900390625}, {"start": 2211.55, "end": 2212.03, "word": " maker", "probability": 0.9326171875}, {"start": 2212.03, "end": 2212.77, "word": " equation", "probability": 0.990234375}, {"start": 2212.77, "end": 2213.33, "word": " و", "probability": 0.86767578125}, {"start": 2213.33, "end": 2213.49, "word": " ال", "probability": 0.8125}, {"start": 2213.49, "end": 2213.77, "word": " thin", "probability": 0.74609375}, {"start": 2213.77, "end": 2214.17, "word": " lens", "probability": 0.9462890625}, {"start": 2214.17, "end": 2214.77, "word": " equation", "probability": 0.95361328125}, {"start": 2214.77, "end": 2215.45, "word": " هم", "probability": 0.802001953125}, {"start": 2215.45, "end": 2215.97, "word": " نفس", "probability": 0.997314453125}, {"start": 2215.97, "end": 2216.81, "word": " المعادلة", "probability": 0.9866943359375}, {"start": 2216.81, "end": 2217.39, "word": " بس", "probability": 0.932373046875}, {"start": 2217.39, "end": 2218.11, "word": " اللهم", "probability": 0.873291015625}, {"start": 2218.11, "end": 2219.43, "word": " لما", "probability": 0.717041015625}, {"start": 2219.43, "end": 2219.63, "word": " أنا", "probability": 0.64013671875}, {"start": 2219.63, "end": 2220.09, "word": " بحكي", "probability": 0.9901123046875}, {"start": 2220.09, "end": 2220.53, "word": " lens", "probability": 0.96240234375}, {"start": 2220.53, "end": 2220.95, "word": " maker", "probability": 0.94873046875}, {"start": 2220.95, "end": 2221.57, "word": " equation", "probability": 0.99072265625}, {"start": 2221.57, "end": 2222.15, "word": " أنا", "probability": 0.78466796875}, {"start": 2222.15, "end": 2222.65, "word": " بقصد", "probability": 0.9898681640625}, {"start": 2222.65, "end": 2223.13, "word": " فيها", "probability": 0.98486328125}, {"start": 2223.13, "end": 2224.79, "word": " single", "probability": 0.9150390625}, {"start": 2224.79, "end": 2225.61, "word": " refracting", "probability": 0.870849609375}, {"start": 2225.61, "end": 2225.95, "word": " surface", "probability": 0.8837890625}, {"start": 2225.95, "end": 2226.49, "word": " سطح", "probability": 0.794921875}, {"start": 2226.49, "end": 2226.95, "word": " واحد", "probability": 0.995361328125}], "temperature": 1.0}, {"id": 95, "seek": 225173, "start": 2227.55, "end": 2251.73, "text": "single refracting surface بقول هذه إذا إذا بنعني فيها هذه المعادلة single refracting surface معناته أنا بتكلم عن ال lens makers equation أما إذا أنا هذه اللي كتبته هذه المعادلة المكتوبة بعني فيها عدسة ذات سطحين معناته أنا بعني thin lens equation و ساعتها P هذه تعتبر", "tokens": [82, 26209, 45353, 278, 3753, 4724, 39648, 29538, 11933, 15730, 11933, 15730, 44945, 3615, 22653, 8978, 11296, 29538, 9673, 3615, 18513, 37977, 2167, 45353, 278, 3753, 20449, 8315, 47395, 41850, 39894, 4117, 19528, 18871, 2423, 6765, 19323, 5367, 5551, 15042, 11933, 15730, 41850, 29538, 13672, 1829, 9122, 2655, 3555, 2655, 3224, 29538, 9673, 3615, 18513, 37977, 9673, 4117, 2655, 37746, 3660, 45030, 22653, 8978, 11296, 6225, 3215, 3794, 3660, 29910, 9307, 8608, 9566, 5016, 9957, 20449, 8315, 47395, 41850, 45030, 22653, 5862, 6765, 5367, 4032, 8608, 995, 34268, 11296, 430, 29538, 6055, 34268, 26890], "avg_logprob": -0.20822368703390423, "compression_ratio": 1.9660194174757282, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2227.55, "end": 2228.15, "word": "single", "probability": 0.6640625}, {"start": 2228.15, "end": 2229.05, "word": " refracting", "probability": 0.813720703125}, {"start": 2229.05, "end": 2229.47, "word": " surface", "probability": 0.494384765625}, {"start": 2229.47, "end": 2230.21, "word": " بقول", "probability": 0.532867431640625}, {"start": 2230.21, "end": 2230.69, "word": " هذه", "probability": 0.259765625}, {"start": 2230.69, "end": 2231.19, "word": " إذا", "probability": 0.760009765625}, {"start": 2231.19, "end": 2231.51, "word": " إذا", "probability": 0.6676025390625}, {"start": 2231.51, "end": 2231.87, "word": " بنعني", "probability": 0.7327473958333334}, {"start": 2231.87, "end": 2232.15, "word": " فيها", "probability": 0.91259765625}, {"start": 2232.15, "end": 2232.39, "word": " هذه", "probability": 0.9658203125}, {"start": 2232.39, "end": 2233.01, "word": " المعادلة", "probability": 0.9793701171875}, {"start": 2233.01, "end": 2233.85, "word": " single", "probability": 0.8251953125}, {"start": 2233.85, "end": 2234.67, "word": " refracting", "probability": 0.90380859375}, {"start": 2234.67, "end": 2235.09, "word": " surface", "probability": 0.89013671875}, {"start": 2235.09, "end": 2235.43, "word": " معناته", "probability": 0.9088541666666666}, {"start": 2235.43, "end": 2235.57, "word": " أنا", "probability": 0.74609375}, {"start": 2235.57, "end": 2236.29, "word": " بتكلم", "probability": 0.8253580729166666}, {"start": 2236.29, "end": 2236.49, "word": " عن", "probability": 0.99560546875}, {"start": 2236.49, "end": 2236.65, "word": " ال", "probability": 0.5908203125}, {"start": 2236.65, "end": 2236.97, "word": " lens", "probability": 0.88134765625}, {"start": 2236.97, "end": 2237.47, "word": " makers", "probability": 0.51220703125}, {"start": 2237.47, "end": 2238.21, "word": " equation", "probability": 0.9296875}, {"start": 2238.21, "end": 2238.97, "word": " أما", "probability": 0.75048828125}, {"start": 2238.97, "end": 2239.27, "word": " إذا", "probability": 0.919677734375}, {"start": 2239.27, "end": 2239.55, "word": " أنا", "probability": 0.8369140625}, {"start": 2239.55, "end": 2239.87, "word": " هذه", "probability": 0.59716796875}, {"start": 2239.87, "end": 2241.13, "word": " اللي", "probability": 0.6666259765625}, {"start": 2241.13, "end": 2241.63, "word": " كتبته", "probability": 0.81318359375}, {"start": 2241.63, "end": 2241.79, "word": " هذه", "probability": 0.87109375}, {"start": 2241.79, "end": 2242.31, "word": " المعادلة", "probability": 0.982421875}, {"start": 2242.31, "end": 2243.29, "word": " المكتوبة", "probability": 0.981640625}, {"start": 2243.29, "end": 2244.27, "word": " بعني", "probability": 0.66162109375}, {"start": 2244.27, "end": 2244.81, "word": " فيها", "probability": 0.992431640625}, {"start": 2244.81, "end": 2245.89, "word": " عدسة", "probability": 0.96435546875}, {"start": 2245.89, "end": 2246.17, "word": " ذات", "probability": 0.980224609375}, {"start": 2246.17, "end": 2246.69, "word": " سطحين", "probability": 0.968994140625}, {"start": 2246.69, "end": 2247.09, "word": " معناته", "probability": 0.95068359375}, {"start": 2247.09, "end": 2247.33, "word": " أنا", "probability": 0.7900390625}, {"start": 2247.33, "end": 2248.13, "word": " بعني", "probability": 0.9453125}, {"start": 2248.13, "end": 2248.49, "word": " thin", "probability": 0.64501953125}, {"start": 2248.49, "end": 2248.93, "word": " lens", "probability": 0.94140625}, {"start": 2248.93, "end": 2249.57, "word": " equation", "probability": 0.931640625}, {"start": 2249.57, "end": 2250.03, "word": " و", "probability": 0.822265625}, {"start": 2250.03, "end": 2250.43, "word": " ساعتها", "probability": 0.8819580078125}, {"start": 2250.43, "end": 2250.67, "word": " P", "probability": 0.8828125}, {"start": 2250.67, "end": 2251.07, "word": " هذه", "probability": 0.7880859375}, {"start": 2251.07, "end": 2251.73, "word": " تعتبر", "probability": 0.9625651041666666}], "temperature": 1.0}, {"id": 96, "seek": 228033, "start": 2252.37, "end": 2280.33, "text": " the power of the front service plus the power of the back service the thin lens equation and lens makers equation appear to be the same however there is an important difference in lens maker equation in the lens maker equation power is the power of a single service in the thin lens equation", "tokens": [264, 1347, 295, 264, 1868, 2643, 1804, 264, 1347, 295, 264, 646, 2643, 264, 5862, 6765, 5367, 293, 6765, 19323, 5367, 4204, 281, 312, 264, 912, 4461, 456, 307, 364, 1021, 2649, 294, 6765, 17127, 5367, 294, 264, 6765, 17127, 5367, 1347, 307, 264, 1347, 295, 257, 2167, 2643, 294, 264, 5862, 6765, 5367], "avg_logprob": -0.31676135496659713, "compression_ratio": 2.1159420289855073, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 2252.37, "end": 2253.21, "word": " the", "probability": 0.072998046875}, {"start": 2253.21, "end": 2253.63, "word": " power", "probability": 0.798828125}, {"start": 2253.63, "end": 2254.29, "word": " of", "probability": 0.55224609375}, {"start": 2254.29, "end": 2254.47, "word": " the", "probability": 0.56982421875}, {"start": 2254.47, "end": 2254.81, "word": " front", "probability": 0.89794921875}, {"start": 2254.81, "end": 2255.45, "word": " service", "probability": 0.677734375}, {"start": 2255.45, "end": 2255.71, "word": " plus", "probability": 0.353515625}, {"start": 2255.71, "end": 2255.97, "word": " the", "probability": 0.81640625}, {"start": 2255.97, "end": 2256.21, "word": " power", "probability": 0.8427734375}, {"start": 2256.21, "end": 2256.51, "word": " of", "probability": 0.9560546875}, {"start": 2256.51, "end": 2256.71, "word": " the", "probability": 0.9033203125}, {"start": 2256.71, "end": 2257.09, "word": " back", "probability": 0.8251953125}, {"start": 2257.09, "end": 2257.73, "word": " service", "probability": 0.8408203125}, {"start": 2257.73, "end": 2258.37, "word": " the", "probability": 0.361328125}, {"start": 2258.37, "end": 2258.71, "word": " thin", "probability": 0.75927734375}, {"start": 2258.71, "end": 2259.05, "word": " lens", "probability": 0.94091796875}, {"start": 2259.05, "end": 2259.71, "word": " equation", "probability": 0.955078125}, {"start": 2259.71, "end": 2260.55, "word": " and", "probability": 0.87353515625}, {"start": 2260.55, "end": 2260.89, "word": " lens", "probability": 0.666015625}, {"start": 2260.89, "end": 2261.35, "word": " makers", "probability": 0.40869140625}, {"start": 2261.35, "end": 2262.07, "word": " equation", "probability": 0.9150390625}, {"start": 2262.07, "end": 2262.83, "word": " appear", "probability": 0.65185546875}, {"start": 2262.83, "end": 2263.05, "word": " to", "probability": 0.96435546875}, {"start": 2263.05, "end": 2263.23, "word": " be", "probability": 0.955078125}, {"start": 2263.23, "end": 2263.45, "word": " the", "probability": 0.9130859375}, {"start": 2263.45, "end": 2263.77, "word": " same", "probability": 0.916015625}, {"start": 2263.77, "end": 2267.33, "word": " however", "probability": 0.728515625}, {"start": 2267.33, "end": 2267.93, "word": " there", "probability": 0.72021484375}, {"start": 2267.93, "end": 2268.11, "word": " is", "probability": 0.921875}, {"start": 2268.11, "end": 2268.35, "word": " an", "probability": 0.91162109375}, {"start": 2268.35, "end": 2268.87, "word": " important", "probability": 0.884765625}, {"start": 2268.87, "end": 2269.51, "word": " difference", "probability": 0.86767578125}, {"start": 2269.51, "end": 2270.11, "word": " in", "probability": 0.38525390625}, {"start": 2270.11, "end": 2271.47, "word": " lens", "probability": 0.71435546875}, {"start": 2271.47, "end": 2271.97, "word": " maker", "probability": 0.76025390625}, {"start": 2271.97, "end": 2272.77, "word": " equation", "probability": 0.9794921875}, {"start": 2272.77, "end": 2273.27, "word": " in", "probability": 0.37060546875}, {"start": 2273.27, "end": 2273.39, "word": " the", "probability": 0.5546875}, {"start": 2273.39, "end": 2273.65, "word": " lens", "probability": 0.94921875}, {"start": 2273.65, "end": 2273.99, "word": " maker", "probability": 0.87548828125}, {"start": 2273.99, "end": 2274.47, "word": " equation", "probability": 0.98583984375}, {"start": 2274.47, "end": 2275.87, "word": " power", "probability": 0.1744384765625}, {"start": 2275.87, "end": 2276.29, "word": " is", "probability": 0.873046875}, {"start": 2276.29, "end": 2276.47, "word": " the", "probability": 0.87451171875}, {"start": 2276.47, "end": 2276.73, "word": " power", "probability": 0.86279296875}, {"start": 2276.73, "end": 2276.97, "word": " of", "probability": 0.9658203125}, {"start": 2276.97, "end": 2277.19, "word": " a", "probability": 0.9072265625}, {"start": 2277.19, "end": 2277.49, "word": " single", "probability": 0.9716796875}, {"start": 2277.49, "end": 2278.03, "word": " service", "probability": 0.8623046875}, {"start": 2278.03, "end": 2278.79, "word": " in", "probability": 0.8779296875}, {"start": 2278.79, "end": 2278.99, "word": " the", "probability": 0.91064453125}, {"start": 2278.99, "end": 2279.27, "word": " thin", "probability": 0.892578125}, {"start": 2279.27, "end": 2279.65, "word": " lens", "probability": 0.92822265625}, {"start": 2279.65, "end": 2280.33, "word": " equation", "probability": 0.978515625}], "temperature": 1.0}, {"id": 97, "seek": 230513, "start": 2280.87, "end": 2305.13, "text": "Power is the combined power of the front and back services In the front and back services طبعا هناخد مثال هناخد مثال أو أمثلة المرة القادمة ان شاء الله تعالى في ما يسمى ملحق هذه المحاضرة ويعطيكم العافية والسلام عليكم ورحمة الله وبركاته", "tokens": [46057, 307, 264, 9354, 1347, 295, 264, 1868, 293, 646, 3328, 682, 264, 1868, 293, 646, 3328, 23032, 3555, 3615, 995, 8032, 1863, 47283, 3215, 50113, 6027, 8032, 1863, 47283, 3215, 50113, 6027, 34051, 5551, 2304, 12984, 37977, 9673, 25720, 25062, 18513, 46007, 16472, 13412, 16606, 21984, 37279, 6027, 7578, 8978, 19446, 7251, 38251, 7578, 3714, 1211, 5016, 4587, 29538, 9673, 5016, 46958, 25720, 4032, 40228, 9566, 1829, 24793, 18863, 31845, 10632, 16070, 3794, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224], "avg_logprob": -0.11390269996429031, "compression_ratio": 1.6435185185185186, "no_speech_prob": 4.231929779052734e-06, "words": [{"start": 2280.87, "end": 2281.27, "word": "Power", "probability": 0.89697265625}, {"start": 2281.27, "end": 2281.55, "word": " is", "probability": 0.966796875}, {"start": 2281.55, "end": 2281.73, "word": " the", "probability": 0.93408203125}, {"start": 2281.73, "end": 2282.25, "word": " combined", "probability": 0.931640625}, {"start": 2282.25, "end": 2282.61, "word": " power", "probability": 0.89208984375}, {"start": 2282.61, "end": 2282.89, "word": " of", "probability": 0.9638671875}, {"start": 2282.89, "end": 2283.09, "word": " the", "probability": 0.9189453125}, {"start": 2283.09, "end": 2283.39, "word": " front", "probability": 0.9658203125}, {"start": 2283.39, "end": 2283.69, "word": " and", "probability": 0.95458984375}, {"start": 2283.69, "end": 2284.09, "word": " back", "probability": 0.833984375}, {"start": 2284.09, "end": 2285.39, "word": " services", "probability": 0.91748046875}, {"start": 2285.39, "end": 2285.63, "word": " In", "probability": 0.4111328125}, {"start": 2285.63, "end": 2285.81, "word": " the", "probability": 0.931640625}, {"start": 2285.81, "end": 2286.15, "word": " front", "probability": 0.9716796875}, {"start": 2286.15, "end": 2286.45, "word": " and", "probability": 0.9501953125}, {"start": 2286.45, "end": 2286.81, "word": " back", "probability": 0.86083984375}, {"start": 2286.81, "end": 2288.03, "word": " services", "probability": 0.94384765625}, {"start": 2288.03, "end": 2288.79, "word": " طبعا", "probability": 0.7828369140625}, {"start": 2288.79, "end": 2290.91, "word": " هناخد", "probability": 0.851806640625}, {"start": 2290.91, "end": 2291.43, "word": " مثال", "probability": 0.99072265625}, {"start": 2291.43, "end": 2292.07, "word": " هناخد", "probability": 0.8720703125}, {"start": 2292.07, "end": 2292.95, "word": " مثال", "probability": 0.9951171875}, {"start": 2292.95, "end": 2293.43, "word": " أو", "probability": 0.483154296875}, {"start": 2293.43, "end": 2293.93, "word": " أمثلة", "probability": 0.8546142578125}, {"start": 2293.93, "end": 2294.25, "word": " المرة", "probability": 0.936767578125}, {"start": 2294.25, "end": 2294.75, "word": " القادمة", "probability": 0.98681640625}, {"start": 2294.75, "end": 2294.89, "word": " ان", "probability": 0.451171875}, {"start": 2294.89, "end": 2295.03, "word": " شاء", "probability": 0.951171875}, {"start": 2295.03, "end": 2295.13, "word": " الله", "probability": 0.931640625}, {"start": 2295.13, "end": 2295.79, "word": " تعالى", "probability": 0.92041015625}, {"start": 2295.79, "end": 2296.81, "word": " في", "probability": 0.85693359375}, {"start": 2296.81, "end": 2297.45, "word": " ما", "probability": 0.9462890625}, {"start": 2297.45, "end": 2298.11, "word": " يسمى", "probability": 0.9669596354166666}, {"start": 2298.11, "end": 2298.79, "word": " ملحق", "probability": 0.98095703125}, {"start": 2298.79, "end": 2299.37, "word": " هذه", "probability": 0.87451171875}, {"start": 2299.37, "end": 2300.03, "word": " المحاضرة", "probability": 0.9549560546875}, {"start": 2300.03, "end": 2301.49, "word": " ويعطيكم", "probability": 0.8841796875}, {"start": 2301.49, "end": 2302.09, "word": " العافية", "probability": 0.9855143229166666}, {"start": 2302.09, "end": 2302.87, "word": " والسلام", "probability": 0.865234375}, {"start": 2302.87, "end": 2303.33, "word": " عليكم", "probability": 0.928466796875}, {"start": 2303.33, "end": 2303.75, "word": " ورحمة", "probability": 0.972412109375}, {"start": 2303.75, "end": 2304.09, "word": " الله", "probability": 0.97314453125}, {"start": 2304.09, "end": 2305.13, "word": " وبركاته", "probability": 0.9892578125}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 2305.161, "duration_after_vad": 2247.1556249999953}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/rRAWKUMRrTY_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/rRAWKUMRrTY_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..6dd578b4727892e06374d5517508116ee21d6dc2
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/rRAWKUMRrTY_raw.srt
@@ -0,0 +1,1544 @@
+1
+00:00:01,650 --> 00:00:06,150
+بسم الله الرحمن الرحيم بنتواصل مع محاضرات ال
+
+2
+00:00:06,150 --> 00:00:08,490
+geometric optics ووصلنا عند transfers
+
+3
+00:00:08,490 --> 00:00:12,430
+magnification for a single spherical refracting
+
+4
+00:00:12,430 --> 00:00:17,050
+surface طبعا احنا لtransfers magnification مر
+
+5
+00:00:17,050 --> 00:00:20,730
+علينا من قبل وقولنا transfers magnification يساوي
+
+6
+00:00:20,730 --> 00:00:23,190
+image distance على object distance
+
+7
+00:00:36,860 --> 00:00:41,300
+In the lens maker equation, object and image
+
+8
+00:00:41,300 --> 00:00:45,310
+distances are measured from the vertexthat is the
+
+9
+00:00:45,310 --> 00:00:48,270
+point where the surface intersects the optical
+
+10
+00:00:48,270 --> 00:00:57,290
+axis that is the point
+
+11
+00:00:57,290 --> 00:00:57,290
+where the surface intersects the optical axis that
+
+12
+00:00:57,290 --> 00:00:57,750
+is the point where the surface intersects the
+
+13
+00:00:57,750 --> 00:01:00,330
+optical axis that is the point where the surface
+
+14
+00:01:00,330 --> 00:01:02,330
+intersects the optical axis that is the point
+
+15
+00:01:02,330 --> 00:01:03,650
+where the surface intersects the optical axis that
+
+16
+00:01:03,650 --> 00:01:05,890
+is the point where the surface intersects the
+
+17
+00:01:05,890 --> 00:01:08,070
+optical axis that is the point where the surface
+
+18
+00:01:08,070 --> 00:01:09,110
+intersects the optical axis that is the point
+
+19
+00:01:09,110 --> 00:01:10,370
+where the surface intersects the optical axis that
+
+20
+00:01:10,370 --> 00:01:11,150
+is the point where the surface intersects the
+
+21
+00:01:11,150 --> 00:01:11,790
+optical axis that is the point where the surface
+
+22
+00:01:11,790 --> 00:01:13,850
+intersects the optical axis that is the point
+
+23
+00:01:13,850 --> 00:01:13,870
+where the surface intersects the optical axis that
+
+24
+00:01:13,870 --> 00:01:13,890
+is the point where the surface intersects the
+
+25
+00:01:13,890 --> 00:01:13,890
+optical axis that is the point where the surface
+
+26
+00:01:13,890 --> 00:01:13,890
+intersects the optical axis that is the point
+
+27
+00:01:13,890 --> 00:01:13,890
+where the surface intersects the optical axis that
+
+28
+00:01:13,890 --> 00:01:13,890
+is the point where the surface intersects the
+
+29
+00:01:13,890 --> 00:01:13,910
+optical axis that is the point where the surface
+
+30
+00:01:13,910 --> 00:01:13,910
+intersects the optical axis that is the point
+
+31
+00:01:13,910 --> 00:01:13,910
+where the surface intersects the optical axis that
+
+32
+00:01:13,910 --> 00:01:13,970
+is the point where the surface intersects the
+
+33
+00:01:13,970 --> 00:01:14,170
+optical axis that is the point where the surface
+
+34
+00:01:14,170 --> 00:01:16,170
+intersectAnd calculate the image distance from the
+
+35
+00:01:16,170 --> 00:01:19,750
+vertex to the image, so this is image distance and
+
+36
+00:01:19,750 --> 00:01:22,430
+this is object distance But the correct answer
+
+37
+00:01:22,430 --> 00:01:25,190
+should be calculated from the nodal point, from
+
+38
+00:01:25,190 --> 00:01:27,830
+the nodal point You see, what is the nodal point?
+
+39
+00:01:28,050 --> 00:01:30,730
+The nodal point, I told you before in the first
+
+40
+00:01:30,730 --> 00:01:31,270
+lectures
+
+41
+00:01:34,370 --> 00:01:36,870
+means reference points, there is anterior nodal
+
+42
+00:01:36,870 --> 00:01:39,710
+point and posterior nodal point and they can be
+
+43
+00:01:39,710 --> 00:01:43,070
+related to each other from any point in the
+
+44
+00:01:43,070 --> 00:01:45,770
+object, let's say from point A, the ray that is
+
+45
+00:01:45,770 --> 00:01:48,990
+allowed to enter the anterior nodal point will
+
+46
+00:01:48,990 --> 00:01:54,410
+exit the posterior nodal point and go to A
+
+47
+00:01:54,410 --> 00:01:57,210
+condition which is the image of A if the two
+
+48
+00:01:57,210 --> 00:01:59,890
+points are related to each other, this ray is
+
+49
+00:01:59,890 --> 00:02:04,050
+allowed not to break at allبكون undeviated ray،
+
+50
+00:02:04,050 --> 00:02:08,540
+يعني شعاع لم يتم حرفه عن مساره أبداSo, the rays
+
+51
+00:02:08,540 --> 00:02:10,720
+that don't pass through the nodal point, as we
+
+52
+00:02:10,720 --> 00:02:16,900
+see, break down. This is for the lenses with two
+
+53
+00:02:16,900 --> 00:02:18,700
+surfaces, the anterior surface and the posterior
+
+54
+00:02:18,700 --> 00:02:21,340
+surface, which are the well-known lenses and used
+
+55
+00:02:21,340 --> 00:02:24,260
+in our practical life. Okay, the single refracting
+
+56
+00:02:24,260 --> 00:02:27,580
+surface, where is its nodal point? The nodal point
+
+57
+00:02:27,580 --> 00:02:30,760
+of the single refracting surface is the point that
+
+58
+00:02:30,760 --> 00:02:33,820
+if a ray passes through it, it does not have to
+
+59
+00:02:33,820 --> 00:02:36,690
+change its path, as here,The rays passing through
+
+60
+00:02:36,690 --> 00:02:38,810
+the nodal point does not have to change its path
+
+61
+00:02:38,810 --> 00:02:42,470
+at all If we go back and take this view, we say
+
+62
+00:02:42,470 --> 00:02:44,470
+that this is a spherical refracting surface
+
+63
+00:02:46,040 --> 00:02:50,320
+spherical refracting surface يعني جزء من سطح كرة
+
+64
+00:02:50,320 --> 00:02:54,160
+جزء من سطح كرة هذا السطح سطح كرا ويعني لو كملناه
+
+65
+00:02:54,160 --> 00:02:59,380
+بطلع معانا كرة يا ترى مين الشعاع اللي لو سقط على
+
+66
+00:02:59,380 --> 00:03:03,900
+نقطة ما مش هيغير طريقه؟ بنقول دائما الشعاع الموجه
+
+67
+00:03:03,900 --> 00:03:07,920
+باتجاه ال center بتاع الكرة مش هيغير طريقه ليش؟
+
+68
+00:03:07,920 --> 00:03:11,620
+لأنه هذا الشعاع أنه أي خط بنمده من مركز الكرة
+
+69
+00:03:11,620 --> 00:03:15,250
+لسطحها بيكون عمودي على السطحSo this ray will fall
+
+70
+00:03:15,250 --> 00:03:18,050
+vertically, so it will not change its path, it
+
+71
+00:03:18,050 --> 00:03:20,930
+will only increase its speed in the glass. So the
+
+72
+00:03:20,930 --> 00:03:24,290
+center of the spherical refracting surface is
+
+73
+00:03:24,290 --> 00:03:26,450
+exactly similar to the nodal point. So what is it
+
+74
+00:03:26,450 --> 00:03:29,730
+similar to? It is similar to the ray that passes
+
+75
+00:03:29,730 --> 00:03:31,830
+through the nodal point. If the two nodal points
+
+76
+00:03:31,830 --> 00:03:34,310
+are adjacent to each other, this ray does not have
+
+77
+00:03:34,310 --> 00:03:37,510
+any deviation that changes its path. The ray that
+
+78
+00:03:37,510 --> 00:03:39,590
+passes through the center, which is directed
+
+79
+00:03:39,590 --> 00:03:43,290
+towards the center,which is pointing towards the
+
+80
+00:03:43,290 --> 00:03:45,810
+center will also drop a vertical drop on the
+
+81
+00:03:45,810 --> 00:03:48,010
+ball's surface and as long as a vertical drop
+
+82
+00:03:48,010 --> 00:03:52,410
+falls, θI is equal to zero, so it will not change
+
+83
+00:03:52,410 --> 00:03:54,330
+its direction, but it will only slow down the
+
+84
+00:03:54,330 --> 00:03:59,530
+light in the ball. So the center of the ball is
+
+85
+00:03:59,530 --> 00:04:01,870
+similar to the nodal point. And we said before
+
+86
+00:04:01,870 --> 00:04:05,650
+that the image can be extracted from the nodal
+
+87
+00:04:05,650 --> 00:04:08,030
+point, from the nodal point, from the anterior
+
+88
+00:04:08,030 --> 00:04:10,780
+nodal point.to the object and this is called
+
+89
+00:04:10,780 --> 00:04:14,360
+object distance and from the posterior nodal point
+
+90
+00:04:14,360 --> 00:04:17,640
+to the image and this is called image distance and
+
+91
+00:04:17,640 --> 00:04:20,300
+of course the two points are adjacent to each
+
+92
+00:04:20,300 --> 00:04:23,000
+other in the view that we see in front of us but I
+
+93
+00:04:23,000 --> 00:04:26,460
+technically look at them as two separate points,
+
+94
+00:04:26,580 --> 00:04:27,960
+two separate points, which means that when I want
+
+95
+00:04:27,960 --> 00:04:30,280
+to talk about the distance of the object I say
+
+96
+00:04:30,280 --> 00:04:33,020
+from the anterior nodal point to the object this
+
+97
+00:04:33,020 --> 00:04:35,540
+is the distance of the object well the image from
+
+98
+00:04:35,540 --> 00:04:39,370
+the posterior nodal point to the imageThe anterior
+
+99
+00:04:39,370 --> 00:04:41,810
+and posterior nodal points are the same point in
+
+100
+00:04:41,810 --> 00:04:46,130
+the same place, except that when I talk about the
+
+101
+00:04:46,130 --> 00:04:48,190
+image, I talk about the posterior nodal point of
+
+102
+00:04:48,190 --> 00:04:50,630
+the image, and when I talk about the object, I
+
+103
+00:04:50,630 --> 00:04:54,180
+talk about the anterior nodal pointto the object,
+
+104
+00:04:54,300 --> 00:04:57,740
+to the object here the same thing, it is better to
+
+105
+00:04:57,740 --> 00:05:00,520
+calculate the distance of the image from the nodal
+
+106
+00:05:00,520 --> 00:05:02,760
+point of the spherical refracting surface, that
+
+107
+00:05:02,760 --> 00:05:06,260
+is, from the center it is better to calculate the
+
+108
+00:05:06,260 --> 00:05:09,500
+distance, the image distance, the image distance
+
+109
+00:05:09,500 --> 00:05:11,880
+that we used to calculate from the line to the
+
+110
+00:05:11,880 --> 00:05:15,940
+imageالان بنجيسها من عند مركز الكرة لعند ال image
+
+111
+00:05:15,940 --> 00:05:19,140
+يعني هذه المسافة هتروح منها نصف القطر هيروح منها
+
+112
+00:05:19,140 --> 00:05:23,680
+هذا R نصف القطر فال image distance لجديدة ال image
+
+113
+00:05:23,680 --> 00:05:28,240
+distance لجديدة تساوي ال Ithe old distance minus R
+
+114
+00:05:28,240 --> 00:05:31,600
+this old image distance that we used to measure
+
+115
+00:05:31,600 --> 00:05:35,060
+from it we want to subtract R from it so I minus R
+
+116
+00:05:35,060 --> 00:05:38,100
+okay and the object this distance I will measure
+
+117
+00:05:38,100 --> 00:05:40,540
+the object from here I used to measure it from the
+
+118
+00:05:40,540 --> 00:05:42,980
+vertex of the object the correct one should be
+
+119
+00:05:42,980 --> 00:05:45,340
+subtracted from the center of the spherical
+
+120
+00:05:45,340 --> 00:05:49,000
+refracting surface of the object so the distance
+
+121
+00:05:49,000 --> 00:05:52,190
+of the old object I will subtract from itSo it
+
+122
+00:05:52,190 --> 00:05:56,730
+will be O plus R and the new image distance will
+
+123
+00:05:56,730 --> 00:06:01,210
+be I minus R which means that I removed the radius
+
+124
+00:06:01,210 --> 00:06:04,510
+from the image and added it to the object which
+
+125
+00:06:04,510 --> 00:06:06,270
+means that the object distance from here from the
+
+126
+00:06:06,270 --> 00:06:08,790
+center to the object and the image distance from
+
+127
+00:06:08,790 --> 00:06:14,130
+the center or nodal point to the imageThe distance
+
+128
+00:06:14,130 --> 00:06:16,610
+of R is half of the line, we removed it from the
+
+129
+00:06:16,610 --> 00:06:20,230
+image and added it to the object, so I have this
+
+130
+00:06:20,230 --> 00:06:24,570
+image distance as we see and this object distance
+
+131
+00:06:24,570 --> 00:06:25,810
+as we see
+
+132
+00:06:29,810 --> 00:06:32,930
+To calculate Transfers Magnification using the
+
+133
+00:06:32,930 --> 00:06:35,370
+equation given earlier, which is the lens maker
+
+134
+00:06:35,370 --> 00:06:39,230
+equation, object and image distances should be,
+
+135
+00:06:39,830 --> 00:06:43,370
+excuse me, to use the old equations, which is
+
+136
+00:06:43,370 --> 00:06:46,450
+Transfers Magnification equals Image Distance over
+
+137
+00:06:46,450 --> 00:06:47,970
+Object Distance, which is what we learned in the
+
+138
+00:06:47,970 --> 00:06:51,500
+initial lecturesnow we will stay on the same topic
+
+139
+00:06:51,500 --> 00:06:54,180
+that the transference magnification is equal to
+
+140
+00:06:54,180 --> 00:06:56,980
+the image distance over the object distance with a
+
+141
+00:06:56,980 --> 00:06:59,500
+simple modification that the image distance has a
+
+142
+00:06:59,500 --> 00:07:02,020
+new definition that half of the line is removed
+
+143
+00:07:02,020 --> 00:07:05,660
+from it and the object distance also has a new
+
+144
+00:07:05,660 --> 00:07:08,900
+definition that half of the line is added to it so
+
+145
+00:07:08,900 --> 00:07:12,480
+the transference magnification using the old
+
+146
+00:07:12,480 --> 00:07:13,720
+equation that says that the transference
+
+147
+00:07:13,720 --> 00:07:16,720
+magnification is equal toimage distance on object
+
+148
+00:07:16,720 --> 00:07:22,200
+distance image distance will be I minus R and
+
+149
+00:07:22,200 --> 00:07:28,400
+object distance will be O plus R reintersecting
+
+150
+00:07:28,400 --> 00:07:31,240
+the center of the curvature strike the surface at
+
+151
+00:07:31,240 --> 00:07:34,320
+normal incidence and travel undeviated through the
+
+152
+00:07:34,320 --> 00:07:40,560
+nodal pointsالاشعع اللي بتمر في ال center أو
+
+153
+00:07:40,560 --> 00:07:44,180
+الموجه باتجاه ال center بتضرب في السطح strikes the
+
+154
+00:07:44,180 --> 00:07:48,440
+surface at normal incidence و بتعدي undeviated
+
+155
+00:07:48,440 --> 00:07:51,160
+through the nodal point اللي هو through the center
+
+156
+00:07:51,160 --> 00:07:52,240
+of the sphere
+
+157
+00:07:55,700 --> 00:07:59,220
+if O and I are respectively the object distance
+
+158
+00:07:59,220 --> 00:08:03,240
+and image distance for lens maker equation and R
+
+159
+00:08:03,240 --> 00:08:06,280
+is the radius of curvature then transfers
+
+160
+00:08:06,280 --> 00:08:09,600
+magnification image distance على object distance
+
+161
+00:08:09,600 --> 00:08:12,560
+بس ال image distance هنشيل منها نصف القطر عشان
+
+162
+00:08:12,560 --> 00:08:16,140
+نجيس من ال center و ال object distance هنضيف لها
+
+163
+00:08:16,140 --> 00:08:20,460
+نصف القطر يعني O زائد R ممكن انسان يتعجب طب هنا
+
+164
+00:08:20,460 --> 00:08:26,330
+احنا كاتبينها O ناقص R هي بالضبط هنا تشبهHere it
+
+165
+00:08:26,330 --> 00:08:28,630
+looks exactly like O plus R, but it is placed
+
+166
+00:08:28,630 --> 00:08:32,530
+between two axes And
+
+167
+00:08:32,530 --> 00:08:37,650
+here there is a minus sign, why there is a minus
+
+168
+00:08:37,650 --> 00:08:39,250
+sign but it is not mentioned? Because it is known
+
+169
+00:08:39,250 --> 00:08:48,030
+that this should be minus, no it should be plus R,
+
+170
+00:08:48,090 --> 00:08:49,570
+we added the distance of the object
+
+171
+00:08:53,960 --> 00:08:59,420
+So I minus R over O plus R I minus R over O plus R
+
+172
+00:08:59,420 --> 00:09:02,020
+Well, here the minus came from the distance of the
+
+173
+00:09:02,020 --> 00:09:07,300
+object The distance of the object The distance of
+
+174
+00:09:07,300 --> 00:09:09,300
+the object with minus The distance of the object
+
+175
+00:09:09,300 --> 00:09:12,420
+with minus Therefore, scientists said that since
+
+176
+00:09:12,420 --> 00:09:14,520
+the distance of the object is known with minus
+
+177
+00:09:14,520 --> 00:09:18,560
+There is no need for circles And I put O minus R
+
+178
+00:09:20,840 --> 00:09:23,620
+ولمّا باجي أعوض
+
+179
+00:09:24,920 --> 00:09:28,120
+I know that it is O plus R, but the distance as a
+
+180
+00:09:28,120 --> 00:09:31,080
+whole is considered negative It might appear that
+
+181
+00:09:31,080 --> 00:09:34,660
+the denominator of the value should be O plus R
+
+182
+00:09:34,660 --> 00:09:39,320
+instead of O minus R However, O minus R is correct
+
+183
+00:09:39,320 --> 00:09:44,360
+because we added the distance of the radius R to
+
+184
+00:09:44,360 --> 00:09:47,940
+the object to get the distance of the new object
+
+185
+00:09:47,940 --> 00:09:50,680
+So we say that it is O plus R indeed, but because
+
+186
+00:09:50,680 --> 00:09:54,180
+this distance as a wholeككل تعتبر على الجانب
+
+187
+00:09:54,180 --> 00:09:57,680
+الشمال من ال nodal point على الجانب الشمال من ال
+
+188
+00:09:57,680 --> 00:10:02,140
+nodal point فبالتالي بنعتبرها كلها negative فكلمة
+
+189
+00:10:02,140 --> 00:10:07,440
+O ناقص R صحيحة فكلمة O ناقص R صحيحة because
+
+190
+00:10:07,440 --> 00:10:10,960
+however O ناقص R is correct because the sign
+
+191
+00:10:10,960 --> 00:10:14,620
+convention makes object distance أو distances
+
+192
+00:10:14,620 --> 00:10:19,360
+negative makes object distances negative طيبNow if
+
+193
+00:10:19,360 --> 00:10:21,900
+we take this equation which is transverse
+
+194
+00:10:21,900 --> 00:10:25,760
+magnification I minus R over O minus R and we did
+
+195
+00:10:25,760 --> 00:10:31,040
+some algebraic operations on it, we will reach a
+
+196
+00:10:31,040 --> 00:10:34,500
+new equation which is transverse magnification
+
+197
+00:10:34,500 --> 00:10:37,520
+equal to U over V. How are these equations? This
+
+198
+00:10:37,520 --> 00:10:41,150
+is not included in our specialization.these
+
+199
+00:10:41,150 --> 00:10:43,450
+calculations which is the transfers magnification
+
+200
+00:10:43,450 --> 00:10:48,010
+I minus R over O minus R if we calculate them
+
+201
+00:10:48,010 --> 00:10:51,790
+forcefully with the drawings then we will reach
+
+202
+00:10:51,790 --> 00:10:54,330
+the conclusion that the transfers magnification is
+
+203
+00:10:54,330 --> 00:10:57,930
+equal to U over V U which is reduced object
+
+204
+00:10:57,930 --> 00:11:01,920
+versions and V which is reduced image versionsالان
+
+205
+00:11:01,920 --> 00:11:05,360
+اصبح عندي تلت وسائل بقدر أجيب فيها ل transfers
+
+206
+00:11:05,360 --> 00:11:08,700
+magnification اللي هو أحد صفات ال image ال
+
+207
+00:11:08,700 --> 00:11:12,140
+magnification أحد ال characteristics of the image
+
+208
+00:11:12,140 --> 00:11:15,180
+بنقول المعادلة الأولى عشان أجيب ل transfers
+
+209
+00:11:15,180 --> 00:11:18,480
+magnification of image height على object height
+
+210
+00:11:18,480 --> 00:11:21,360
+وهدي أول حاجة أخدناها ارتفاع ال image على ارتفاع
+
+211
+00:11:21,360 --> 00:11:23,970
+ال object هذا ل transfers magnificationSecond
+
+212
+00:11:23,970 --> 00:11:27,870
+thing is that the transfer magnification is equal
+
+213
+00:11:27,870 --> 00:11:30,270
+to the image distance over the object distance
+
+214
+00:11:30,270 --> 00:11:33,970
+Third thing is that the transfer magnification is
+
+215
+00:11:33,970 --> 00:11:38,730
+equal to U over V You might ask what is the need
+
+216
+00:11:38,730 --> 00:11:41,410
+to bring an unknown thing which is the transfer
+
+217
+00:11:41,410 --> 00:11:44,550
+magnification?In the middle of these three
+
+218
+00:11:44,550 --> 00:11:47,430
+equations Of course, when we take an example, we
+
+219
+00:11:47,430 --> 00:11:49,350
+will calculate the u, the vergence of light, and
+
+220
+00:11:49,350 --> 00:11:51,470
+calculate the v to get the location of the image
+
+221
+00:11:51,470 --> 00:11:54,110
+As long as I calculate the u and the v, I do not
+
+222
+00:11:54,110 --> 00:11:56,690
+go back to the distances, quickly I divide the u
+
+223
+00:11:56,690 --> 00:12:00,310
+by the v and I get the transfer of magnification
+
+224
+00:12:00,310 --> 00:12:03,410
+in a picture easier than going back to distances
+
+225
+00:12:03,410 --> 00:12:07,290
+and heightsreduced vergence not only simplifies
+
+226
+00:12:07,290 --> 00:12:10,790
+calculations with lens maker equation but also
+
+227
+00:12:10,790 --> 00:12:26,450
+simplifies calculation of magnification used of
+
+228
+00:12:26,450 --> 00:12:29,670
+the reduced vergence obviates the needfor object
+
+229
+00:12:29,670 --> 00:12:32,670
+and image distances, nodal points, and radius of
+
+230
+00:12:32,670 --> 00:12:36,170
+curvature. When I use reduced vergence
+
+231
+00:12:36,170 --> 00:12:39,810
+calculation, reduced vergence which is U and V, I
+
+232
+00:12:39,810 --> 00:12:42,330
+don't need to go and get the object distance and
+
+233
+00:12:42,330 --> 00:12:44,430
+image distance, and see where the nodal point is,
+
+234
+00:12:44,530 --> 00:12:46,730
+and measure the radius of curvature, and divide
+
+235
+00:12:46,730 --> 00:12:49,310
+the image distance by the object distance to get
+
+236
+00:12:49,310 --> 00:12:53,610
+the transfer of magnification.Now we are going to
+
+237
+00:12:53,610 --> 00:12:57,070
+take an example to find out if there is a
+
+238
+00:12:57,070 --> 00:12:57,930
+difference between them by transferring
+
+239
+00:12:57,930 --> 00:13:02,530
+magnification by U over V and also by image
+
+240
+00:13:02,530 --> 00:13:05,830
+distance over object distance and see if there is
+
+241
+00:13:05,830 --> 00:13:08,450
+a difference between them or not I have an example
+
+242
+00:13:08,450 --> 00:13:13,230
+that says as follows I have an object half a meter
+
+243
+00:13:13,230 --> 00:13:17,310
+away from the spherical refracting surface half of
+
+244
+00:13:17,310 --> 00:13:20,080
+its diameter is two out of ten metersUn is the
+
+245
+00:13:20,080 --> 00:13:22,560
+condition of glass, refractive index is one and a
+
+246
+00:13:22,560 --> 00:13:24,120
+half, and un is the condition of air, one and a
+
+247
+00:13:24,120 --> 00:13:27,620
+half Now, the first thing I want is where is the
+
+248
+00:13:27,620 --> 00:13:30,060
+image? Where is the image inside the glass? Where
+
+249
+00:13:30,060 --> 00:13:33,200
+is the image inside the glass? We say, first
+
+250
+00:13:33,200 --> 00:13:44,180
+thing, u plus power is equal to v Okay, u which is
+
+251
+00:13:44,180 --> 00:13:49,600
+negative n over o, negative n over ominus n over o
+
+252
+00:13:49,600 --> 00:13:58,860
+means minus one over o and a half meters equals
+
+253
+00:13:58,860 --> 00:14:08,620
+sorry plus power minus one over r minus one and a
+
+254
+00:14:08,620 --> 00:14:12,040
+half minus
+
+255
+00:14:12,040 --> 00:14:14,300
+one
+
+256
+00:14:15,110 --> 00:14:20,790
+on the radius of curvature 2 of 10 meters is equal
+
+257
+00:14:20,790 --> 00:14:31,750
+to 1.5 times I which is unknown I is a small
+
+258
+00:14:31,750 --> 00:14:38,390
+letter minus
+
+259
+00:14:38,390 --> 00:14:42,050
+1 over half minus 2 and the meter becomes meter
+
+260
+00:14:42,050 --> 00:14:44,670
+plus minus 1 minus 2 this is greater than or equal
+
+261
+00:14:44,670 --> 00:14:50,640
+toone and a half minus one remains half the half
+
+262
+00:14:50,640 --> 00:14:53,620
+when I divide by two from ten I get two and a half
+
+263
+00:14:53,620 --> 00:14:57,660
+plus two and a half the meter below from the
+
+264
+00:14:57,660 --> 00:14:59,380
+position when it appears it becomes a meter minus
+
+265
+00:14:59,380 --> 00:15:03,520
+one which is negative and equals one and a half
+
+266
+00:15:03,520 --> 00:15:12,980
+over I we write small letter again then minus two
+
+267
+00:15:12,980 --> 00:15:16,230
+which is negativeplus two and a half diopters I
+
+268
+00:15:16,230 --> 00:15:20,470
+still have plus one and a half diopters plus one
+
+269
+00:15:20,470 --> 00:15:26,070
+and a half diopters is equal to one and a half
+
+270
+00:15:26,070 --> 00:15:33,230
+over I let's
+
+271
+00:15:33,230 --> 00:15:39,390
+write it again in the small letter so I is equal
+
+272
+00:15:39,390 --> 00:15:50,900
+to one and a halfتقسيم نص ديوبتر plus نص plus نص
+
+273
+00:15:50,900 --> 00:15:55,740
+ديوبتر
+
+274
+00:15:55,740 --> 00:16:02,610
+و يساوي واحد و نص على plus نص اذا plus تلاتةWhen I
+
+275
+00:16:02,610 --> 00:16:06,570
+divide 1.5 by 1.5, I get plus 3 Now, the diopter
+
+276
+00:16:06,570 --> 00:16:09,190
+in the station The diopter is the meter minus 1
+
+277
+00:16:09,190 --> 00:16:12,490
+When I look at the bus, it becomes a meter So, the
+
+278
+00:16:12,490 --> 00:16:15,250
+distance of the image from the surface is 3 meters
+
+279
+00:16:15,250 --> 00:16:19,950
+From here to here is 3 meters From here to here
+
+280
+00:16:19,950 --> 00:16:22,830
+Why did I say from here to here? Here, the light
+
+281
+00:16:22,830 --> 00:16:23,850
+begins to change its path and it becomes
+
+282
+00:16:23,850 --> 00:16:28,370
+convergent Not at this point So, the light began
+
+283
+00:16:28,370 --> 00:16:32,780
+to change its path hereHere, got it? So, the
+
+284
+00:16:32,780 --> 00:16:35,160
+distance of the image from the ceiling is 3 meters
+
+285
+00:16:35,160 --> 00:16:40,700
+3 meters Let's try to write it down to make it
+
+286
+00:16:40,700 --> 00:16:43,220
+clear in the drawing to make it clear in the
+
+287
+00:16:43,220 --> 00:16:47,500
+drawing So, we say as follows this distance from
+
+288
+00:16:47,500 --> 00:16:50,620
+here
+
+289
+00:16:50,620 --> 00:16:55,260
+to
+
+290
+00:16:55,260 --> 00:17:02,650
+the imagethis distance from here to here is equal
+
+291
+00:17:02,650 --> 00:17:09,170
+to
+
+292
+00:17:09,170 --> 00:17:22,430
+this distance is equal to three meters three
+
+293
+00:17:22,430 --> 00:17:27,250
+meters so we got the image distance away from the
+
+294
+00:17:27,250 --> 00:17:32,660
+surfaceOkay, now I'm going to leave this one in
+
+295
+00:17:32,660 --> 00:17:38,460
+red and I'm going to say why And I'm going to
+
+296
+00:17:38,460 --> 00:17:42,880
+leave this one in red too and I'm going to say why
+
+297
+00:17:42,880 --> 00:17:45,580
+Okay,
+
+298
+00:17:46,060 --> 00:17:48,780
+first thing, the minus two is negative, where did
+
+299
+00:17:48,780 --> 00:17:52,280
+we get it from? From minus n over o, the u is
+
+300
+00:17:52,280 --> 00:17:55,420
+equal to minus n over o, which means minus one
+
+301
+00:17:55,420 --> 00:17:59,350
+over half a meter, the u which is reducedobject
+
+302
+00:17:59,350 --> 00:18:02,090
+versions. Okay, and the v which is unconditional
+
+303
+00:18:02,090 --> 00:18:05,130
+over i is equal to v unconditional one and a half
+
+304
+00:18:05,130 --> 00:18:08,230
+over i was unknown to us turned out to be one and
+
+305
+00:18:08,230 --> 00:18:10,650
+a half over i is equal to half a diopter. This is
+
+306
+00:18:10,650 --> 00:18:16,730
+v. So, u minus two diopters and v plus half a
+
+307
+00:18:16,730 --> 00:18:19,410
+diopter. Now we want to get the transphase
+
+308
+00:18:19,410 --> 00:18:24,950
+magnification. The transphase magnification The
+
+309
+00:18:24,950 --> 00:18:28,110
+transphase magnification is equal to u
+
+310
+00:18:34,530 --> 00:18:47,830
+u minus 2 diopter over plus half diopter which
+
+311
+00:18:47,830 --> 00:18:53,930
+is equal to minus over plus minus
+
+312
+00:18:53,930 --> 00:18:57,930
+2
+
+313
+00:18:57,930 --> 00:18:59,170
+over half which is 4
+
+314
+00:19:03,590 --> 00:19:13,030
+x-4 transfers magnificationby using U over V So
+
+315
+00:19:13,030 --> 00:19:17,190
+the picture is upside down and 4 times higher than
+
+316
+00:19:17,190 --> 00:19:18,650
+the height of the object If the height of the
+
+317
+00:19:18,650 --> 00:19:20,710
+object is 10 cm, the height of the picture will be
+
+318
+00:19:20,710 --> 00:19:24,370
+40 cm Now we are going to bring this issue using
+
+319
+00:19:24,370 --> 00:19:27,630
+image distance and object distance image distance
+
+320
+00:19:27,630 --> 00:19:30,770
+and object distance we say transfers magnification
+
+321
+00:19:53,760 --> 00:20:02,080
+The transference magnification يساوي image
+
+322
+00:20:02,080 --> 00:20:05,760
+distance
+
+323
+00:20:05,760 --> 00:20:12,980
+على
+
+324
+00:20:12,980 --> 00:20:15,120
+object distance
+
+325
+00:20:20,260 --> 00:20:26,980
+and it's equal to...
+
+326
+00:20:26,980 --> 00:20:30,700
+I'm
+
+327
+00:20:30,700 --> 00:20:35,140
+going to lower the line just a little bit
+
+328
+00:20:35,140 --> 00:20:39,300
+to stay in the same slide
+
+329
+00:20:43,380 --> 00:20:46,580
+the transphase magnification is equal to how much
+
+330
+00:20:46,580 --> 00:20:48,140
+is the image distance? we don't need to get the
+
+331
+00:20:48,140 --> 00:20:51,020
+image distance from here, we need to get it from
+
+332
+00:20:51,020 --> 00:20:55,020
+the center it is from here to the image 3 meters 3
+
+333
+00:20:55,020 --> 00:20:59,400
+meters minus 2 from 10 meters is equal to 2 and 8
+
+334
+00:20:59,400 --> 00:21:06,520
+from 10 meters so plus 2 and 8 from 10 metersWhy
+
+335
+00:21:06,520 --> 00:21:08,800
+did I put plus here? Because it's on the right of
+
+336
+00:21:08,800 --> 00:21:10,900
+nodal point, on the right of the center So this
+
+337
+00:21:10,900 --> 00:21:14,040
+distance from the center of the ball to the image
+
+338
+00:21:14,040 --> 00:21:17,960
+is 2.8 meters How did I know? It's 3 meters to the
+
+339
+00:21:17,960 --> 00:21:20,260
+surface, from the image to the surface is 3 meters
+
+340
+00:21:20,260 --> 00:21:22,960
+If we subtract 2 from 10 meters from 3 meters,
+
+341
+00:21:23,020 --> 00:21:28,220
+I'll have 2.8 meters on the object distance now I
+
+342
+00:21:28,220 --> 00:21:29,600
+don't need to calculate it from the surface, it's
+
+343
+00:21:29,600 --> 00:21:34,450
+correct from the centerنص متر و اتنين من عشرة متر
+
+344
+00:21:34,450 --> 00:21:38,390
+بيصير سبعة من عشرة متر بس هنا بده أحط لها إشارة
+
+345
+00:21:38,390 --> 00:21:42,430
+minus لإنها عشمال احنا لما بنحكي عن مسافات لما
+
+346
+00:21:42,430 --> 00:21:46,570
+بنحكي عن مسافات المسافة اللي عشمال النقطة المرجعية
+
+347
+00:21:46,570 --> 00:21:49,150
+النقطة المرجعية هي النقطة اللي أنا بجيس منها إذا
+
+348
+00:21:49,150 --> 00:21:52,570
+بجيس من السطح اللي عشمال السطح minus ولا يمين
+
+349
+00:21:52,570 --> 00:21:56,440
+السطحPlus. If I measure from the center, then this
+
+350
+00:21:56,440 --> 00:21:58,760
+reference point will be measured from here. From
+
+351
+00:21:58,760 --> 00:22:01,180
+here and to the left, it will take a negative
+
+352
+00:22:01,180 --> 00:22:03,000
+distance. From here and to the right, it will take
+
+353
+00:22:03,000 --> 00:22:07,160
+a positive distance. So, on the left of the center
+
+354
+00:22:07,160 --> 00:22:09,320
+of the spherical refracting surface, which is this
+
+355
+00:22:09,320 --> 00:22:12,760
+red dot that we see, the distance to the object is
+
+356
+00:22:12,760 --> 00:22:14,740
+seven out of ten, which is two out of ten times
+
+357
+00:22:14,740 --> 00:22:17,220
+the radius plus five out of ten times the surface
+
+358
+00:22:17,220 --> 00:22:20,400
+of the wave. So, minus seven out of ten meters.
+
+359
+00:22:23,350 --> 00:22:27,150
+and it is equal to
+
+360
+00:22:27,150 --> 00:22:30,870
+x because it transfers magnification plus to minus
+
+361
+00:22:30,870 --> 00:22:36,010
+minus two eight of ten to seven of ten that is
+
+362
+00:22:36,010 --> 00:22:42,010
+twenty eight to seven that is four x minus four
+
+363
+00:22:42,010 --> 00:22:45,930
+and the meter with the meter goes so this
+
+364
+00:22:45,930 --> 00:22:47,510
+transfers magnification
+
+365
+00:22:50,130 --> 00:22:53,830
+I also got minus 4. So whether I used u over v
+
+366
+00:22:53,830 --> 00:22:56,230
+which is the easiest and fastest way, which is
+
+367
+00:22:56,230 --> 00:23:01,010
+minus n over o and v which is uncertain over i, I
+
+368
+00:23:01,010 --> 00:23:05,860
+get minus 4.for transference magnification I can
+
+369
+00:23:05,860 --> 00:23:10,500
+answer with u over v and I can answer with image
+
+370
+00:23:10,500 --> 00:23:13,460
+distance over object distance but note that it is
+
+371
+00:23:13,460 --> 00:23:16,480
+necessary to start from the center, the reference
+
+372
+00:23:16,480 --> 00:23:19,400
+point is the center if I start from the line, the
+
+373
+00:23:19,400 --> 00:23:21,620
+transference magnification will be different and
+
+374
+00:23:21,620 --> 00:23:25,130
+the speech will not beThe right thing is that the
+
+375
+00:23:25,130 --> 00:23:27,290
+reference point for the spherical refracting
+
+376
+00:23:27,290 --> 00:23:32,210
+service is not the vertex, but the center. Of
+
+377
+00:23:32,210 --> 00:23:34,590
+course, I use the vertex when I start to get the
+
+378
+00:23:34,590 --> 00:23:36,870
+image. Why do I use the vertex when I start to get
+
+379
+00:23:36,870 --> 00:23:39,490
+the image distance? Because after this surface
+
+380
+00:23:39,490 --> 00:23:41,690
+immediately, the light was divergent, what started
+
+381
+00:23:41,690 --> 00:23:44,930
+to happen? Convergence. Its location changed, it
+
+382
+00:23:44,930 --> 00:23:46,470
+started to become convergent, that is, it started
+
+383
+00:23:46,470 --> 00:23:51,990
+to gather to form the image.طبعا يعني نعطي تمارين
+
+384
+00:23:51,990 --> 00:23:54,690
+و مسائل ان شاء الله تعالى يعني بشكل مستقل عن
+
+385
+00:23:54,690 --> 00:23:58,190
+المحاضرة و يعطيكم العافية و السلام عليكم و رحمة
+
+386
+00:23:58,190 --> 00:23:59,690
+الله و بركاته
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/rl0fJZeBLjU.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/rl0fJZeBLjU.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0d4e34a98f2608a97afe0560acacf66382e7e100
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/rl0fJZeBLjU.srt
@@ -0,0 +1,1573 @@
+
+1
+00:00:01,500 --> 00:00:04,260
+Bismillah ar-Rahman ar-Rahim, بنواصل مع محاضرات
+
+2
+00:00:04,260 --> 00:00:09,320
+الـ Geometric Optics و اليوم هانحكي عن ال mirrors،
+
+3
+00:00:09,320 --> 00:00:15,140
+المرايا، المرايا حقيقة جزء مهم من ال Geometric
+
+4
+00:00:15,140 --> 00:00:18,780
+Optics، من علم ال Geometric Optics و استخداماتها و
+
+5
+00:00:18,780 --> 00:00:22,790
+استعمالاتها كتيرة في الحياة اليومية they hardly
+
+6
+00:00:22,790 --> 00:00:28,910
+leave their homes, especially plain mirrors. As
+
+7
+00:00:28,910 --> 00:00:31,990
+discussed earlier under the section of imaging
+
+8
+00:00:31,990 --> 00:00:35,510
+with lenses and mirrors, many of the divergence
+
+9
+00:00:35,510 --> 00:00:38,650
+and ray tracing concepts we developed for lenses
+
+10
+00:00:38,650 --> 00:00:42,410
+also apply to mirrors. In other words, almost
+
+11
+00:00:42,410 --> 00:00:45,370
+everything we learned about divergence, which is
+
+12
+00:00:45,370 --> 00:00:49,610
+how to light the U and the V, and the power of the
+
+13
+00:00:49,610 --> 00:00:54,800
+lens, It changes from the fluctuation state that
+
+14
+00:00:54,800 --> 00:00:58,020
+gives light whether it is plus lens or minus lens
+
+15
+00:00:58,020 --> 00:01:00,720
+The plus lens reduces the fluctuation and the
+
+16
+00:01:00,720 --> 00:01:03,720
+minus lens increases the fluctuation. And also the
+
+17
+00:01:03,720 --> 00:01:08,300
+ray tracing, the principles of ray tracing. When we
+
+18
+00:01:08,300 --> 00:01:10,500
+say that the one with an even ratio enters FP and
+
+19
+00:01:10,500 --> 00:01:13,140
+the one who enters FA comes out with an even ratio
+
+20
+00:01:13,610 --> 00:01:17,050
+كل هذه الأشياء اللي اتعلمناها بالنسبة لل lenses
+
+21
+00:01:17,050 --> 00:01:22,810
+أيضا يعني يمكن تطبيقها على المرايا مع بعض الأشياء
+
+22
+00:01:22,810 --> 00:01:26,610
+الخاصة بالمرايا. In the following page, we consider
+
+23
+00:01:26,610 --> 00:01:30,590
+some points specific to mirrors إذا في تشابه كبير
+
+24
+00:01:30,590 --> 00:01:35,690
+جدا بين العدسات و المرايا مع بعض الخصوصيات للمرايا
+
+25
+00:01:35,690 --> 00:01:39,650
+زي ما احنا هناخد بعد شوية ان شاء الله تعالى بس ن
+
+26
+00:01:39,650 --> 00:01:43,430
+start it هناهي ال plane mirror الموجودة في ال ..
+
+27
+00:01:43,430 --> 00:01:46,850
+في المنزل اللي هي المرأة المستوية طبعا المرأة
+
+28
+00:01:46,850 --> 00:01:51,170
+المستوية تورسان بشكل مستقيم و ال .. ال .. يعني ال
+
+29
+00:01:51,170 --> 00:01:55,010
+back of the mirror بن .. بنحط عليه شرطات أو شحطات
+
+30
+00:01:55,010 --> 00:01:57,910
+أنه مش هنا المراية، المراية هي السطح الأمامي اللي
+
+31
+00:01:57,910 --> 00:02:00,750
+بيجي في أمامه الشخص اللي بديه يتطلع على نفسه في
+
+32
+00:02:00,750 --> 00:02:04,870
+المرأة. This person is standing at an angle of x1
+
+33
+00:02:04,870 --> 00:02:07,510
+and his picture is at an angle of x2, and we even
+
+34
+00:02:07,510 --> 00:02:11,590
+learned in schools that x1 is equal to x2, which
+
+35
+00:02:11,590 --> 00:02:12,890
+means that the distance of the picture from the
+
+36
+00:02:12,890 --> 00:02:15,210
+mirror is equal to the distance of the object, the
+
+37
+00:02:15,210 --> 00:02:18,110
+object from the mirror, this is for the plane
+
+38
+00:02:18,110 --> 00:02:25,800
+mirror. Concave mirror المرقاء المقعرة هي مرقاء
+
+39
+00:02:25,800 --> 00:02:30,780
+مكبرة غالبا بتستخدم في ان نشوف الأشياء مكبرة واضح
+
+40
+00:02:30,780 --> 00:02:35,260
+ان الأيد قداش حجمها وصورتها تكاد تملأ .. تكاد تملأ
+
+41
+00:02:35,260 --> 00:02:39,440
+نصف المرقاء، اذا هي مرقاء مكبرة في غالب الأحيان
+
+42
+00:02:39,440 --> 00:02:42,350
+معدا. I mean, sometimes of course this is according
+
+43
+00:02:42,350 --> 00:02:45,230
+to the versions calculations exactly like the
+
+44
+00:02:45,230 --> 00:02:47,750
+lenses, with some of the features that we will talk
+
+45
+00:02:47,750 --> 00:02:53,430
+about God willing. How to draw as a drawing the
+
+46
+00:02:53,430 --> 00:02:55,850
+concave mirror? The concave mirror is drawn .. is
+
+47
+00:02:55,850 --> 00:03:00,110
+drawn in this way, and .. The conditions will
+
+48
+00:03:00,110 --> 00:03:02,170
+indicate that this is the back of the mirror and
+
+49
+00:03:02,170 --> 00:03:05,450
+here is the front of the mirror that will receive
+
+50
+00:03:05,450 --> 00:03:11,210
+the rays. The concave mirror works exactly like the
+
+51
+00:03:11,210 --> 00:03:15,870
+convex lens. The convex lens or the plus lens. It was
+
+52
+00:03:15,870 --> 00:03:18,050
+made by the accumulation of rays, and the concave
+
+53
+00:03:18,050 --> 00:03:20,370
+mirror, or the plus mirror, they call it plus
+
+54
+00:03:20,370 --> 00:03:22,950
+mirror or concave mirror, its name is strange
+
+55
+00:03:22,950 --> 00:03:25,810
+because for the first time, you imagine that as
+
+56
+00:03:25,810 --> 00:03:27,670
+long as a person is concave, she is concave, no,
+
+57
+00:03:28,110 --> 00:03:31,090
+in names where mirrors and lenses are opposite to
+
+58
+00:03:31,090 --> 00:03:36,130
+each other. Let's see here. هذه الرسمة بتوضح الأمر،
+
+59
+00:03:36,130 --> 00:03:39,450
+هنا عندي concave mirror, concave mirror، بتجمع
+
+60
+00:03:39,450 --> 00:03:43,730
+الأشععي الأشعاجية متوازية، ارتدت في نفس الجهة لإنه
+
+61
+00:03:43,730 --> 00:03:46,990
+هذي reflection مش refraction، reflection يعني
+
+62
+00:03:46,990 --> 00:03:50,050
+انعكاس لنفس الوسط اللي إيجا منه الضوء، الضوء إيجا
+
+63
+00:03:50,050 --> 00:03:54,870
+من الشمال، أصطدم بالمرقاء ورجع لشمال بس، و هو راجع
+
+64
+00:03:54,870 --> 00:03:59,940
+كان متجمع، إذن هي .. converging mirror, converging
+
+65
+00:03:59,940 --> 00:04:05,100
+mirror يعني مرقاة مجمعة مرقاة مجمعة. Now this looks
+
+66
+00:04:05,100 --> 00:04:08,760
+exactly like the convex lens, the convex lens,
+
+67
+00:04:08,860 --> 00:04:14,080
+also the parallel rays, the convex lens combines
+
+68
+00:04:14,080 --> 00:04:17,160
+them together, that's why they call it converging
+
+69
+00:04:17,160 --> 00:04:19,540
+lens, but the difference here and here
+
+70
+00:04:22,420 --> 00:04:25,600
+الصورة عاليمين، هنا الصورة عالشمال، إذا ال image
+
+71
+00:04:25,600 --> 00:04:28,840
+space، الفراغ اللي بتتكون فيه الصورة بالنسبة
+
+72
+00:04:28,840 --> 00:04:33,640
+للمرأة معكوس إذا ما قورن بالعدسة، بالنسبة للمرأة
+
+73
+00:04:33,640 --> 00:04:38,940
+معكوس إذا كانت العدسة المجمعة هتكون صورة عاليمين
+
+74
+00:04:38,940 --> 00:04:44,130
+مثلاحنلاقي المراية المجمعة أكونات صورة على الشمال،
+
+75
+00:04:44,130 --> 00:04:47,650
+أكونات صورة على الشمال، إذا هاي أول فارق بين
+
+76
+00:04:47,650 --> 00:04:51,950
+العدسة و المرأة المكافئة إلها، إيش المكافئة إلها؟
+
+77
+00:04:51,950 --> 00:04:55,850
+يعني هادي converging و هادي convergent، هادي بتجمع
+
+78
+00:04:55,850 --> 00:04:58,750
+الأشعة و هادي بتجمع الأشعة، أول حاجة ال image
+
+79
+00:04:58,750 --> 00:05:03,130
+space مش واحد، ال image space مش واحد، في فارق
+
+80
+00:05:03,130 --> 00:05:06,190
+تاني ممكن نلاحظه من الصورة، هنا، هنا عندي في two
+
+81
+00:05:06,190 --> 00:05:12,070
+F, F إيه؟ Anterior focal point, and here FP,
+
+82
+00:05:12,310 --> 00:05:15,370
+posterior focal point. Here I have one F. Why?
+
+83
+00:05:15,490 --> 00:05:19,610
+Because for the mirror, half of the world is not
+
+84
+00:05:19,610 --> 00:05:20,950
+present. What does it mean that half of the world
+
+85
+00:05:20,950 --> 00:05:24,250
+is not present? Before we say the answer to this
+
+86
+00:05:24,250 --> 00:05:27,210
+strange question, we say as follows: The convex
+
+87
+00:05:27,210 --> 00:05:32,470
+lens, the light can flow to its left and move
+
+88
+00:05:32,470 --> 00:05:37,650
+through it to its right. The mirror, the mirror
+
+89
+00:05:37,650 --> 00:05:40,470
+only, of course, we agreed in Geometric Optics
+
+90
+00:05:40,470 --> 00:05:42,750
+that the light starts from the left. From the left
+
+91
+00:05:42,750 --> 00:05:47,000
+reaches this optical system اللي هي المراية وبرجة
+
+92
+00:05:47,000 --> 00:05:51,060
+عالشمال هذا النص الآخر من العالم اللي هو كل ما خال
+
+93
+00:05:51,060 --> 00:05:54,860
+في المراية محرم على الضوء اللي اصطدم بالمراية أنه
+
+94
+00:05:54,860 --> 00:05:58,820
+ينفذ منها للهدف. فبالتالي طالما هنا عندها two
+
+95
+00:05:58,820 --> 00:06:03,780
+spaces, هنا عند one space هنا وكأنه FA وFB انطبقوا
+
+96
+00:06:03,780 --> 00:06:09,220
+على بعضهم البعض وانطبقوا على بعضهم البعض الآن لو
+
+97
+00:06:09,220 --> 00:06:14,320
+تخيلنا هنا الوسط هواء وهواء وجيت أنا حطيت خط هنا
+
+98
+00:06:15,030 --> 00:06:18,430
+على الرسمة، على الرسمة مرسومة على ورقة، حطيت خط
+
+99
+00:06:18,430 --> 00:06:23,890
+هنا، ثم .. يعني ثانية الورقة أو طبقت الورقة على
+
+100
+00:06:23,890 --> 00:06:28,710
+بعض، هالبعض، هيكون F A .. F B عفوانه، F A، طالما
+
+101
+00:06:28,710 --> 00:06:32,850
+بعضهم عن The optical center of the lens is one, and
+
+102
+00:06:32,850 --> 00:06:36,790
+as if .. and as if the lens or as if the mirror is
+
+103
+00:06:36,790 --> 00:06:39,070
+.. if we imagine .. if we allow imagination that
+
+104
+00:06:39,070 --> 00:06:44,170
+it is a lens that was old and then it was removed
+
+105
+00:06:44,170 --> 00:06:49,080
+part of it by what? تانينة هذه الورقة على بعضها
+
+106
+00:06:49,080 --> 00:06:53,720
+البعض و ذلك بس فقط لتقريب المفهوم. إذا عندي ال
+
+107
+00:06:53,720 --> 00:06:56,920
+convex lens أو ال lens عموما، ال lenses عموما، في
+
+108
+00:06:56,920 --> 00:07:00,480
+لها two focal points في بينهم مسافة، يعني مش في
+
+109
+00:07:00,480 --> 00:07:05,840
+نفس المكان في الفرارة، في F A و في F B ال .. ال ..
+
+110
+00:07:05,840 --> 00:07:11,320
+ال concavemirror ilha FA و FB فى نفس النقطة هما
+
+111
+00:07:11,320 --> 00:07:16,260
+مطابقين على بعضهم تماما و بنطلب عليهم بس حرف ال F
+
+112
+00:07:16,260 --> 00:07:21,960
+بدون A ولا P ولا P. إذا هدا بالنسبة ل ال concave
+
+113
+00:07:21,960 --> 00:07:26,150
+mirror. نيجى ل ال convex mirror. Convex mirror has
+
+114
+00:07:26,150 --> 00:07:29,950
+many uses, it shrinks the image, so when it
+
+115
+00:07:29,950 --> 00:07:32,330
+shrinks the image, the field that I can see is
+
+116
+00:07:32,330 --> 00:07:35,110
+large, the field that I can see is large, here
+
+117
+00:07:35,110 --> 00:07:37,610
+because the image is enlarged, the hand and what
+
+118
+00:07:37,610 --> 00:07:40,150
+is around the hand is a small amount of things
+
+119
+00:07:40,150 --> 00:07:43,140
+that I can see, because when it enlarges. An element
+
+120
+00:07:43,140 --> 00:07:45,040
+of the elements of the image covers the other
+
+121
+00:07:45,040 --> 00:07:49,400
+elements, so as it grows or as it becomes more
+
+122
+00:07:49,400 --> 00:07:54,980
+magnified, the field of view becomes limited.
+
+123
+00:07:55,180 --> 00:07:57,680
+Limited, why? Because things are huge, I can't see
+
+124
+00:07:57,680 --> 00:08:00,980
+all things at once. While in the convex mirror,
+
+125
+00:08:01,500 --> 00:08:05,140
+the smaller the things I see, it will make things
+
+126
+00:08:05,140 --> 00:08:10,130
+smaller. So therefore I will see many things, or the
+
+127
+00:08:10,130 --> 00:08:12,810
+field of view becomes more available to me. I mean
+
+128
+00:08:12,810 --> 00:08:16,910
+I see the car and the micro bus behind it and all
+
+129
+00:08:16,910 --> 00:08:20,510
+the trees from its bottom to its top. I see the
+
+130
+00:08:20,510 --> 00:08:23,390
+asphalt to its end and the distant trees. I see
+
+131
+00:08:23,390 --> 00:08:27,470
+many things like this. So it is mostly used for
+
+132
+00:08:27,470 --> 00:08:31,870
+hiking trails, especially mountain trails, or trails
+
+133
+00:08:31,870 --> 00:08:37,810
+that are not easy to see before hiking. فبتوضع على
+
+134
+00:08:37,810 --> 00:08:41,490
+زاوية المنعطف حتى يعني القادم من الناحية الأخرى
+
+135
+00:08:41,490 --> 00:08:45,650
+يرى إذا كان فيه سيارة يعني قادمة من ناحية الأخرى
+
+136
+00:08:45,650 --> 00:08:50,890
+أم لا. إذا ال convex mirror عبارة عن diverging
+
+137
+00:08:50,890 --> 00:08:54,670
+mirror. بتشبه ال concavelance شايفين في الأسماء
+
+138
+00:08:54,670 --> 00:08:58,590
+متعاكسة في الأسماء .. في الأسماء متعاكسة. Let's see
+
+139
+00:08:58,590 --> 00:09:06,210
+the diverging mirror when the light comes from the
+
+140
+00:09:06,210 --> 00:09:10,970
+minus optical infinity parallel to each other, but
+
+141
+00:09:10,970 --> 00:09:14,540
+reflected in a multiple state. يعني diverging mirror
+
+142
+00:09:14,540 --> 00:09:17,840
+بتشتته أو بتضيف له الحالة التشتتية. بتضيف له
+
+143
+00:09:17,840 --> 00:09:22,120
+negative vergence. طالما بتشتته معناته مش هتتكون
+
+144
+00:09:22,120 --> 00:09:26,720
+صورة حقيقية وإنما هتتكون صورة تخيلية عن امتدادات
+
+145
+00:09:26,720 --> 00:09:31,400
+الإشعاعات اللي إيش اللي انعكست. يعني هتكون في ال ..
+
+146
+00:09:31,400 --> 00:09:35,000
+الناحية اليمين بالنسبة للمرايا. Virtual image
+
+147
+00:09:35,000 --> 00:09:40,370
+virtual image. So this issue must be clear. The
+
+148
+00:09:40,370 --> 00:09:43,690
+concave lens, the rays coming from the minus
+
+149
+00:09:43,690 --> 00:09:46,610
+optical infinity parallel to each other, also
+
+150
+00:09:46,610 --> 00:09:50,450
+scatter the rays. And as long as the scattered rays
+
+151
+00:09:50,450 --> 00:09:52,170
+scatter, no matter how much they spread, they will
+
+152
+00:09:52,170 --> 00:09:56,270
+not form a real image. So the imaginary image will
+
+153
+00:09:56,270 --> 00:09:59,570
+be on the extension of the rays that came out of
+
+154
+00:09:59,570 --> 00:10:01,930
+the lens will be on the left. Here the difference
+
+155
+00:10:01,930 --> 00:10:07,890
+is that the image space. If we compare the convex
+
+156
+00:10:07,890 --> 00:10:12,870
+mirror with the concave lens, we say the image
+
+157
+00:10:12,870 --> 00:10:14,770
+space is reversed, why? Because here the image
+
+158
+00:10:14,770 --> 00:10:17,470
+space is on the right, while in the concave lens,
+
+159
+00:10:18,070 --> 00:10:20,670
+the virtual image is on the left, so the opposite
+
+160
+00:10:20,670 --> 00:10:23,890
+of each other, so the image space is reversed, the
+
+161
+00:10:23,890 --> 00:10:27,510
+image space is reversed. Also if you notice, I have
+
+162
+00:10:27,510 --> 00:10:32,480
+two F's here: Fp and Fa. We said in the concave lens
+
+163
+00:10:32,480 --> 00:10:34,900
+when we started talking about the concave lens
+
+164
+00:10:34,900 --> 00:10:39,080
+that Fa and Fp are reversed compared to the convex
+
+165
+00:10:39,080 --> 00:10:43,360
+lens. Here in the convex lens, this is Fa and this
+
+166
+00:10:43,360 --> 00:10:47,690
+is Fp; in the concave lens this is FP and this is FE.
+
+167
+00:10:47,690 --> 00:10:51,470
+Now we don't want to compare the concave lens with
+
+168
+00:10:51,470 --> 00:10:53,390
+the convex lens; we want to compare the concave
+
+169
+00:10:53,390 --> 00:10:57,390
+lens with the convex mirror, with the convex mirror.
+
+170
+00:10:57,390 --> 00:11:03,450
+We say here, I have FE and I have FP. Here I have F1,
+
+171
+00:11:03,750 --> 00:11:07,890
+F1, that came in the virtual space of the mirror,
+
+172
+00:11:07,990 --> 00:11:10,190
+that is, it came behind the mirror, it came behind
+
+173
+00:11:10,190 --> 00:11:13,610
+the mirror. FA and FP are aligned together, so we
+
+174
+00:11:13,610 --> 00:11:15,990
+say about them F, and that's it. We say about them
+
+175
+00:11:15,990 --> 00:11:18,370
+F and that's it. In both cases, the similarity
+
+176
+00:11:18,370 --> 00:11:21,850
+between the convexmirror, or concave lens, is that
+
+177
+00:11:21,850 --> 00:11:25,550
+both do divergence, but the difference is that the
+
+178
+00:11:25,550 --> 00:11:27,250
+first thing is that the image space is inverted,
+
+179
+00:11:27,390 --> 00:11:30,970
+this virtual image is formed on the right, this
+
+180
+00:11:30,970 --> 00:11:34,090
+virtual image is formed on the left, the second
+
+181
+00:11:34,090 --> 00:11:36,970
+thing is that here I have two F's, F A and F B,
+
+182
+00:11:37,310 --> 00:11:40,310
+here I have one F, which is F A and F B adjacent to
+
+183
+00:11:40,310 --> 00:11:46,220
+each other and F is pronounced on them. نيجي احنا
+
+184
+00:11:46,220 --> 00:11:50,020
+نشوف ال reflecting power of the mirror بس عشان
+
+185
+00:11:50,020 --> 00:11:54,640
+يعني نروح لل simulation و نقول هاي أشعة متوازية
+
+186
+00:11:54,640 --> 00:11:59,
+
+223
+00:14:07,530 --> 00:14:09,970
+a while ago we did an example on the plus sign, so 
+
+224
+00:14:09,970 --> 00:14:13,250
+now we want to do it on the minus sign this is
+
+225
+00:14:13,250 --> 00:14:17,730
+minus 200, which is minus 5 diopter it turned into
+
+226
+00:14:17,730 --> 00:14:25,230
+a minus lens and this is my beam of 
+
+227
+00:14:25,230 --> 00:14:30,810
+course we want to reduce the beam's density and 
+
+228
+00:14:30,810 --> 00:14:34,820
+let's see the extension The image will be formed
+
+229
+00:14:34,820 --> 00:14:38,680
+here on the extensions of the rays that are here
+
+230
+00:14:38,680 --> 00:14:44,740
+Now I want to make a blocker so I can draw the ...
+
+231
+00:14:44,740 --> 00:14:50,080
+No, the blocker can't bring the ... So we repeat 
+
+232
+00:14:50,080 --> 00:14:53,180
+We 
+
+233
+00:14:53,180 --> 00:14:55,000
+don't need the extension Here we know that the 
+
+234
+00:14:55,000 --> 00:14:58,100
+image will be formed on this side On this side
+
+235
+00:14:58,100 --> 00:15:01,700
+Exactly 
+
+236
+00:15:01,700 --> 00:15:05,160
+on this pointIt will be a virtual image taken from 
+
+237
+00:15:05,160 --> 00:15:08,860
+a concave lens Now we need to go back from this
+
+238
+00:15:08,860 --> 00:15:15,300
+step So that we can draw the mirror Let's see what 
+
+239
+00:15:15,300 --> 00:15:24,180
+the mirror will be Convex mirror Convex mirror
+
+240
+00:15:24,180 --> 00:15:29,760
+Convex mirror Convex mirror Convex mirror Convex
+
+241
+00:15:29,760 --> 00:15:32,420
+mirror Convex mirror 
+
+242
+00:15:36,530 --> 00:15:41,970
+Also, the opposite rays Of 
+
+243
+00:15:41,970 --> 00:15:43,750
+course, here the density is zero So, we want to
+
+244
+00:15:43,750 --> 00:15:45,670
+see the extension, where will it happen? This 
+
+245
+00:15:45,670 --> 00:15:47,830
+extension, of course, is output to this extension 
+
+246
+00:15:47,830 --> 00:15:51,890
+And this extension So, let's go back to the 
+
+247
+00:15:51,890 --> 00:15:57,030
+extension And 
+
+248
+00:15:57,030 --> 00:15:58,810
+delete this completely Here, we know that the 
+
+249
+00:15:58,810 --> 00:16:02,450
+extension brings the image to its left Here
+
+250
+00:16:08,840 --> 00:16:13,130
+الان نشوف ال extensionOf course, the light will
+
+251
+00:16:13,130 --> 00:16:15,430
+not go out. This is an extension that we extended 
+
+252
+00:16:15,430 --> 00:16:18,810
+to here. Here, imagine that the light will reach
+
+253
+00:16:18,810 --> 00:16:21,430
+the ceiling and reflect, but it will be placed in
+
+254
+00:16:21,430 --> 00:16:23,950
+a divergent reflection. So, the picture here will 
+
+255
+00:16:23,950 --> 00:16:27,930
+be formed on the right, the virtual image. In the 
+
+256
+00:16:27,930 --> 00:16:31,770
+minus lenses, it will be formed on the left, the 
+
+257
+00:16:31,770 --> 00:16:34,610
+virtual image. So, the image space is reversed
+
+258
+00:16:34,610 --> 00:16:40,180
+compared to any lens that is not compared.من ال 
+
+259
+00:16:40,180 --> 00:16:44,160
+lenses من ال lenses و زي ما الصورة ها دي بتوضع زي
+
+260
+00:16:44,160 --> 00:16:48,340
+ما الصورة ها بتوضع هنا divergence صار ل الرزق مجرد
+
+261
+00:16:48,340 --> 00:16:51,240
+ما عدى من ال concave lens divergence يعني الصورة 
+
+262
+00:16:51,240 --> 00:16:55,020
+virtual لا يمكن تلتقي فبالتالي على امتداداتها هنا
+
+263
+00:16:55,020 --> 00:16:59,760
+هنكون اللي هو موقع الصورة ال virtual هنا انعكست 
+
+264
+00:16:59,760 --> 00:17:04,780
+انعكست مش انكسرت فبالتالي انعكست ايش وضعها متشتتة
+
+265
+00:17:04,780 --> 00:17:07,650
+divergentThat's why they call it a diverging
+
+266
+00:17:07,650 --> 00:17:09,810
+mirror and this is a diverging lens. So on the 
+
+267
+00:17:09,810 --> 00:17:12,270
+wavelengths of the rays will be the place of the 
+
+268
+00:17:12,270 --> 00:17:15,030
+virtual image. This is the virtual image on the 
+
+269
+00:17:15,030 --> 00:17:17,130
+right and this is the virtual image on the left. 
+
+270
+00:17:17,310 --> 00:17:20,690
+Always, each lens and its relative image space for
+
+271
+00:17:20,690 --> 00:17:24,350
+the mirror is considered inverted. Reflecting 
+
+272
+00:17:24,350 --> 00:17:27,610
+power. We can define the reflecting power of
+
+273
+00:17:27,610 --> 00:17:31,090
+mirrors in the same way we define the refracting 
+
+274
+00:17:31,090 --> 00:17:35,360
+power of lenses.What is Reflecting Power? What is 
+
+275
+00:17:35,360 --> 00:17:38,740
+the power of the mirror? The power of the 
+
+276
+00:17:38,740 --> 00:17:44,640
+reflection of rays Reflecting Power of Mirror In 
+
+277
+00:17:44,640 --> 00:17:48,540
+the same way that we introduced Refracting Power 
+
+278
+00:17:48,540 --> 00:17:51,140
+of Lens Well, how did we introduce Refracting 
+
+279
+00:17:51,140 --> 00:17:54,220
+Power of Lens? Its ability to change the 
+
+280
+00:17:54,220 --> 00:17:58,320
+refractive state of light And here, its ability to 
+
+281
+00:17:58,320 --> 00:18:01,320
+change the refractive state of light that reflects
+
+282
+00:18:01,320 --> 00:18:06,170
+itBy the amount of virgins produced by the mirror 
+
+283
+00:18:06,170 --> 00:18:13,370
+Convex 
+
+284
+00:18:13,370 --> 00:18:16,950
+mirrors add negative virgins like minus lenses 
+
+285
+00:18:16,950 --> 00:18:21,010
+Concave mirrors add positive virgins like plus
+
+286
+00:18:21,010 --> 00:18:24,710
+lenses Plain mirrors add no virgins
+
+287
+00:18:30,150 --> 00:18:35,750
+عدسة صفر يعني لا هي plus ولا هي minus لا هي plus
+
+288
+00:18:35,750 --> 00:18:41,230
+ولا هي minus إلا إذا تخيلنا أن ال plane يعني قطعة
+
+289
+00:18:41,230 --> 00:18:50,470
+من لوح زجاجي أو ما شابه أنه عدسةhalf of its volume
+
+290
+00:18:50,470 --> 00:18:53,250
+and half of its volume to infinity. So, its force 
+
+291
+00:18:53,250 --> 00:19:00,830
+is zero. So, the convex mirror collects light, the
+
+292
+00:19:00,830 --> 00:19:03,670
+concave mirror collects light, adds positive 
+
+293
+00:19:03,670 --> 00:19:07,230
+divergence, and the plane mirror, its change to 
+
+294
+00:19:07,230 --> 00:19:10,910
+divergence is zero. So, it neither collects nor
+
+295
+00:19:10,910 --> 00:19:17,080
+collects. Now, we saidThe mirrors of each mirror,
+
+296
+00:19:17,240 --> 00:19:22,240
+whether convex or concave, have one focus, or have 
+
+297
+00:19:22,240 --> 00:19:25,800
+a place, which is their focal point How do we
+
+298
+00:19:25,800 --> 00:19:28,920
+determine that the focal length of the mirror in 
+
+299
+00:19:28,920 --> 00:19:32,660
+meters is equal to the reciprocal of the power of 
+
+300
+00:19:32,660 --> 00:19:36,510
+mirrors in diopters?and vice versa, what does it 
+
+301
+00:19:36,510 --> 00:19:38,330
+mean by the opposite and vice versa? Vice versa 
+
+302
+00:19:38,330 --> 00:19:40,870
+means that the power of the mirror is equal to one 
+
+303
+00:19:40,870 --> 00:19:44,370
+over F, F which is the angular dimension, and F is
+
+304
+00:19:44,370 --> 00:19:46,490
+equal to one over the power, F,
+
+305
+00:19:49,310 --> 00:19:53,630
+the angular dimension is equal to one over the 
+
+306
+00:19:53,630 --> 00:19:58,710
+power of the mirrorPower of mirror. فبالتالي هذا 
+
+307
+00:19:58,710 --> 00:20:03,850
+ال power واحد على F و F واحد على ال power يعني عكس
+
+308
+00:20:03,850 --> 00:20:05,250
+بعضهم البعض
+
+309
+00:20:11,240 --> 00:20:15,500
+زي ما احنا شايفين بقدر ابدل F مكان ال power و بقدر
+
+310
+00:20:15,500 --> 00:20:19,720
+ابدل ال power مكان ال F مجلوبين بعضهم البعض اذا
+
+311
+00:20:19,720 --> 00:20:23,020
+power هي reflecting power of a mirror in diopters 
+
+312
+00:20:23,020 --> 00:20:26,320
+F ال focal length in meters مابقولش لا anterior
+
+313
+00:20:26,320 --> 00:20:29,780
+focal length ولا posterior focal length لأن كل ال
+
+314
+00:20:29,780 --> 00:20:35,400
+focal length في اتجاه معين اللي هو أمام او خلفthe 
+
+315
+00:20:35,400 --> 00:20:37,420
+mirror, in front or behind the mirror, there are
+
+316
+00:20:37,420 --> 00:20:41,400
+no options for the same mirror, this is the convex
+
+317
+00:20:41,400 --> 00:20:44,320
+mirror with the focal length behind it, the 
+
+318
+00:20:44,320 --> 00:20:47,240
+concave mirror with the focal length in front of 
+
+319
+00:20:47,240 --> 00:20:49,480
+it, in front of it, so it is necessary to pay
+
+320
+00:20:49,480 --> 00:20:54,710
+attention to this thingMirrors are often specified 
+
+321
+00:20:54,710 --> 00:20:58,110
+however not by focal length, but by radius of
+
+322
+00:20:58,110 --> 00:21:01,570
+curvature يعني إيش specified مش بال focal length، 
+
+323
+00:21:01,570 --> 00:21:05,670
+بال radius of curvature يعني لما بنيجي في مسألة أو
+
+324
+00:21:05,670 --> 00:21:09,690
+يعني بدنا نشتري مرقة أو كده، بنقول أنه ممكن يكون
+
+325
+00:21:09,690 --> 00:21:12,290
+مكتوب عليها مش ال focal length، غالبا بيكون مكتوب
+
+326
+00:21:12,290 --> 00:21:16,410
+عليها radius of curvature يعني نصف قطر انحناق هذه
+
+327
+00:21:16,410 --> 00:21:20,980
+المرقة، نصف قطر انحناق هذه المرقةSo because 
+
+328
+00:21:20,980 --> 00:21:24,580
+refractive index does not apply to reflective
+
+329
+00:21:24,580 --> 00:21:27,560
+surfaces, the relationship between radius of
+
+330
+00:21:27,560 --> 00:21:31,140
+curvature and focal length is simple. F is equal 
+
+331
+00:21:31,140 --> 00:21:34,020
+to R divided by 2. What does F equal to R divided
+
+332
+00:21:34,020 --> 00:21:39,040
+by 2 mean? Always in the mirror, half of the line
+
+333
+00:21:39,040 --> 00:21:40,740
+is equal to the double of the remaining distance.
+
+334
+00:21:42,980 --> 00:21:44,840
+This is the angular distance from F to the surface 
+
+335
+00:21:44,840 --> 00:21:46,740
+of the mirror. This is called the angular distance
+
+336
+00:21:46,740 --> 00:21:50,960
+over the length of a mirror. R is half the 
+
+337
+00:21:50,960 --> 00:21:53,520
+diameter of this mirror. This mirror is part of a 
+
+338
+00:21:53,520 --> 00:21:58,300
+ball. This mirror is part of a ball. So R is twice 
+
+339
+00:21:58,300 --> 00:22:01,960
+the diameter of half the diameter. R which is F is 
+
+340
+00:22:01,960 --> 00:22:06,120
+equal to R divided by 2 or R is equal to 2F. R is
+
+341
+00:22:06,120 --> 00:22:11,580
+equal to 2F. F is equal to R divided by 2 or
+
+342
+00:22:17,860 --> 00:22:26,060
+or r to the power of 2f either 
+
+343
+00:22:26,060 --> 00:22:29,020
+high or low, so the radius which is half of the 
+
+344
+00:22:29,020 --> 00:22:31,580
+circle is twice the circumference or the 
+
+345
+00:22:31,580 --> 00:22:37,340
+circumference is equal to half of the circle so if
+
+346
+00:22:37,340 --> 00:22:43,280
+I say f to the power of r to the power of 2 F is 
+
+347
+00:22:43,280 --> 00:22:45,620
+equal to R divided by 2. I will copy this equation
+
+348
+00:22:45,620 --> 00:22:54,400
+and get a new equation. The power of the mirror is
+
+349
+00:22:54,400 --> 00:22:58,260
+equal
+
+350
+00:22:58,260 --> 00:23:05,580
+to 1 over F. So the power of the mirror is equal 
+
+351
+00:23:05,580 --> 00:23:12,890
+to 1 over F. Let's find out togetherبناخد على جنب 
+
+352
+00:23:12,890 --> 00:23:21,270
+هنا اللي نسخناه للي سخناه واحد على اف ده لأ
+
+353
+00:23:21,270 --> 00:23:30,230
+هنتراجع بس بدنا نشرح هالشغلة طيب واحد على اف بس اف
+
+354
+00:23:30,230 --> 00:23:37,530
+تساوي اف تساوي اف تساوي R على اتنين بدي اشيل اف و 
+
+355
+00:23:37,530 --> 00:23:39,110
+اعوض فيها R على اتنين
+
+356
+00:23:48,990 --> 00:23:51,730
+power to the power of one divided by two to the
+
+357
+00:23:51,730 --> 00:23:53,850
+power of one divided by two to the power of one
+
+358
+00:23:53,850 --> 00:23:58,730
+divided by two to the power of one divided by two
+
+359
+00:24:04,130 --> 00:24:08,190
+So this is the power, either I say one over F or I 
+
+360
+00:24:08,190 --> 00:24:11,290
+say the power is two over R When one comes, he
+
+361
+00:24:11,290 --> 00:24:13,450
+tells me that I have a mirror with a focal length 
+
+362
+00:24:13,450 --> 00:24:16,710
+of ten centimeters Ten centimeters means one out
+
+363
+00:24:16,710 --> 00:24:21,350
+of ten meters I find its power, I find its power 
+
+364
+00:24:21,350 --> 00:24:26,810
+Let's suppose here a mirror, a mirror, F is equal
+
+365
+00:24:26,810 --> 00:24:31,390
+to Of course it is better to write small f, F is 
+
+366
+00:24:31,390 --> 00:24:39,850
+equal to zero F is equal to 
+
+367
+00:24:39,850 --> 00:24:55,090
+10 cm Now, we come to So,
+
+368
+00:24:55,570 --> 00:24:59,490
+the diameter of the hole is 10 cm, we need to get
+
+369
+00:24:59,490 --> 00:25:00,450
+the power of this lens
+
+370
+00:25:07,190 --> 00:25:12,070
+The power of this mirror, which is a concave 
+
+371
+00:25:12,070 --> 00:25:19,090
+mirror, is equal to one over F, 
+
+372
+00:25:22,090 --> 00:25:28,690
+which is equal to one over one tenth of a meter 
+
+373
+00:25:31,700 --> 00:25:34,280
+Now as long as it's a game, then plus on the cell, 
+
+374
+00:25:34,360 --> 00:25:37,120
+because it's a converging mirror, plus ten 
+
+375
+00:25:37,120 --> 00:25:41,260
+diopters, one over one minus ten is ten, and the 
+
+376
+00:25:41,260 --> 00:25:43,200
+meter is minus one when it comes out, so its power 
+
+377
+00:25:43,200 --> 00:25:48,580
+is plus ten diopters, plus ten diopters Now if a 
+
+378
+00:25:48,580 --> 00:25:53,420
+person told me that I have another mirror, convex 
+
+379
+00:25:53,420 --> 00:25:58,600
+mirror, convex mirror, and R, here convex mirror 
+
+380
+00:26:03,710 --> 00:26:09,910
+R is equal to 
+
+381
+00:26:09,910 --> 00:26:13,990
+10 centimeters How 
+
+382
+00:26:13,990 --> 00:26:17,690
+much is its power? We say the power of the mirror 
+
+383
+00:26:17,690 --> 00:26:22,070
+is equal to .. we don't forget here we said 1 over
+
+384
+00:26:22,070 --> 00:26:24,410
+F but here we will say 2 over R because what it 
+
+385
+00:26:24,410 --> 00:26:28,310
+gave me is not F, it gave me R Yes, we say 2 over 
+
+386
+00:26:28,310 --> 00:26:34,980
+..R 10 cm which is 1 out of 10 meters which is 
+
+387
+00:26:34,980 --> 00:26:38,500
+equal to 
+
+388
+00:26:38,500 --> 00:26:40,880
+2 into 1 out of 10 which is equal to 20 but I have
+
+389
+00:26:40,880 --> 00:26:43,300
+to put minus because this is convex mirror minus 
+
+390
+00:26:43,300 --> 00:26:46,900
+20 this is better so the force of the convex 
+
+391
+00:26:46,900 --> 00:26:49,880
+mirror we got it in the radius of curvature 
+
+392
+00:26:53,580 --> 00:26:57,940
+The concave mirror F1, we got it with F, I got 
+
+393
+00:26:57,940 --> 00:27:01,160
+plus 10 diopters and she got minus 20 diopters So 
+
+394
+00:27:01,160 --> 00:27:04,920
+the power is either 1 over F or the power is equal 
+
+395
+00:27:04,920 --> 00:27:09,560
+to 2 over R Why? Because R is double F Now it is 
+
+396
+00:27:09,560 --> 00:27:12,000
+very important not to forget that the concave 
+
+397
+00:27:12,000 --> 00:27:15,400
+mirror is plus and the convex mirror is minus
+
+398
+00:27:24,380 --> 00:27:29,140
+reversal of image spaceحكيناه وعملناها
+
+399
+00:27:29,140 --> 00:27:32,480
+بالsimulation و بالرسومات the basic divergence 
+
+400
+00:27:32,480 --> 00:27:36,840
+relationship ل U زائد P تساوي V اللي استخدمناها من 
+
+401
+00:27:36,840 --> 00:27:41,380
+العدسات حالة تشتتية للضوء عند سطح العدسة زائد قوة
+
+402
+00:27:41,380 --> 00:27:45,180
+العدسة في تغيير الحالة التشتتية التانين مع بعض 
+
+403
+00:27:45,180 --> 00:27:49,100
+هينتيجوا ل V الحالة التشتتية للضوء بعد خروجه من 
+
+404
+00:27:49,100 --> 00:27:52,080
+العدسة هذه المعادلة اللي هي divergence 
+
+405
+00:27:52,080 --> 00:27:55,920
+relationship can be applied directly to mirror if 
+
+406
+00:27:55,920 --> 00:27:59,860
+one remembers thatWe apply it exactly to mirrors, 
+
+407
+00:28:00,060 --> 00:28:04,220
+but we need to remember that mirror reverses the
+
+408
+00:28:04,220 --> 00:28:07,720
+image space. If in the case of lenses, the image 
+
+409
+00:28:07,720 --> 00:28:10,900
+is formed on the right, the opposite mirrors, i.e. 
+
+4
+
+445
+00:30:21,350 --> 00:30:22,450
+The direction of exit is different from the direction of exit is
+
+446
+00:30:22,450 --> 00:30:23,470
+different from the direction of exit is different
+
+447
+00:30:23,540 --> 00:30:26,540
+if the incoming light rays are travelling from
+
+448
+00:30:26,540 --> 00:30:29,700
+left to right, this is in the mirror, coming from
+
+449
+00:30:29,700 --> 00:30:33,280
+left to right, they will travel from right to left
+
+450
+00:30:33,280 --> 00:30:35,580
+upon reflection. When they are reversed, they
+
+451
+00:30:35,580 --> 00:30:38,580
+return from right to left, from where they came.
+
+452
+00:30:38,940 --> 00:30:43,060
+In this case, converging image rays, plus
+
+453
+00:30:43,060 --> 00:30:46,700
+versions, form a real image to the left of the
+
+454
+00:30:46,700 --> 00:30:49,520
+mirror and diverging image rays, which are the
+
+455
+00:30:49,520 --> 00:30:54,970
+minus versions, appear to come from a virtual image
+
+456
+00:30:54,970 --> 00:31:02,650
+to the right of the mirror. Converging
+
+457
+00:31:02,650 --> 00:31:07,830
+raysبيكونوا لصورة real image على الشمال diverging
+
+458
+00:31:07,830 --> 00:31:11,930
+rays appear to come يعني بيبدوا عليهم و كأنهم
+
+459
+00:31:11,930 --> 00:31:17,810
+جايين من نقطة خلف المرأة من نقطة خلف المرأة فهذه
+
+460
+00:31:17,810 --> 00:31:22,770
+.. اللي هي معنى هذه العبارة appear to come from
+
+461
+00:31:22,770 --> 00:31:26,680
+the virtual image to the right of the mirror to the
+
+462
+00:31:26,680 --> 00:31:29,840
+right of the mirror.  هنوقف عند ال central ray for
+
+463
+00:31:29,840 --> 00:31:33,560
+mirror المرة القادمة ويعطيكم العافية والسلام عليكم
+
+464
+00:31:33,560 --> 00:31:35,140
+ورحمة الله وبركاته
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/tPJNwBNdLxs_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/tPJNwBNdLxs_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..2f39277e3a7dfa99fb0ffc4d0ea0fb5323fb65e8
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/tPJNwBNdLxs_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 303, "start": 1.65, "end": 3.03, "text": " بسم الله الرحمن الرحيم", "tokens": [4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640], "avg_logprob": -0.30234375, "compression_ratio": 1.0769230769230769, "no_speech_prob": 0.0, "words": [{"start": 1.65, "end": 1.95, "word": " بسم", "probability": 0.5355224609375}, {"start": 1.95, "end": 2.13, "word": " الله", "probability": 0.94482421875}, {"start": 2.13, "end": 2.51, "word": " الرحمن", "probability": 0.9596354166666666}, {"start": 2.51, "end": 3.03, "word": " الرحيم", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 2, "seek": 3159, "start": 4.39, "end": 31.59, "text": "من استكمال محاضرات الـ Geometric Optics ووصلنا لـ Specular Transmission و الـ Law of Refraction Specular Transmission يعني المرور أو الانكسار بتاع الضوء المنتظم الانكسار المنتظم أو المرور المنتظم للضوء طبعا هدب يعني فيه حين ما ينتقل الضوء من وسط بصري لوسط بصري آخر يعني من optical medium ل another optical medium", "tokens": [2304, 1863, 44713, 24793, 6027, 3714, 5016, 46958, 2288, 9307, 2423, 39184, 2876, 29470, 21455, 1167, 4032, 2407, 36520, 8315, 5296, 39184, 3550, 17792, 6531, 29797, 4032, 2423, 39184, 7744, 295, 16957, 26766, 3550, 17792, 6531, 29797, 37495, 22653, 9673, 2288, 13063, 34051, 2423, 7649, 4117, 3794, 9640, 39894, 45761, 6024, 114, 2407, 38207, 9673, 1863, 2655, 19913, 2304, 2423, 7649, 4117, 3794, 9640, 9673, 29399, 19913, 2304, 34051, 9673, 2288, 13063, 9673, 29399, 19913, 2304, 24976, 11242, 2407, 38207, 23032, 3555, 3615, 995, 8032, 3215, 3555, 37495, 22653, 8978, 3224, 11331, 9957, 19446, 7251, 29399, 4587, 1211, 6024, 114, 2407, 38207, 9154, 46952, 9566, 4724, 9381, 16572, 5296, 41779, 9566, 4724, 9381, 16572, 19753, 34740, 37495, 22653, 9154, 20674, 6399, 5296, 1071, 20674, 6399], "avg_logprob": -0.19159225658291862, "compression_ratio": 1.8431372549019607, "no_speech_prob": 3.3974647521972656e-06, "words": [{"start": 4.39, "end": 5.09, "word": "من", "probability": 0.39324951171875}, {"start": 5.09, "end": 5.49, "word": " استكمال", "probability": 0.78564453125}, {"start": 5.49, "end": 6.15, "word": " محاضرات", "probability": 0.914453125}, {"start": 6.15, "end": 6.39, "word": " الـ", "probability": 0.902099609375}, {"start": 6.39, "end": 6.79, "word": " Geometric", "probability": 0.78759765625}, {"start": 6.79, "end": 7.53, "word": " Optics", "probability": 0.9453125}, {"start": 7.53, "end": 8.43, "word": " ووصلنا", "probability": 0.9180908203125}, {"start": 8.43, "end": 8.79, "word": " لـ", "probability": 0.603759765625}, {"start": 8.79, "end": 9.25, "word": " Specular", "probability": 0.7255859375}, {"start": 9.25, "end": 10.05, "word": " Transmission", "probability": 0.945068359375}, {"start": 10.05, "end": 10.33, "word": " و", "probability": 0.890625}, {"start": 10.33, "end": 10.53, "word": " الـ", "probability": 0.5235595703125}, {"start": 10.53, "end": 10.69, "word": " Law", "probability": 0.7587890625}, {"start": 10.69, "end": 11.01, "word": " of", "probability": 0.83544921875}, {"start": 11.01, "end": 11.65, "word": " Refraction", "probability": 0.924072265625}, {"start": 11.65, "end": 13.99, "word": " Specular", "probability": 0.9228515625}, {"start": 13.99, "end": 14.71, "word": " Transmission", "probability": 0.95849609375}, {"start": 14.71, "end": 15.11, "word": " يعني", "probability": 0.8671875}, {"start": 15.11, "end": 15.71, "word": " المرور", "probability": 0.9567057291666666}, {"start": 15.71, "end": 15.95, "word": " أو", "probability": 0.69384765625}, {"start": 15.95, "end": 16.67, "word": " الانكسار", "probability": 0.82412109375}, {"start": 16.67, "end": 16.95, "word": " بتاع", "probability": 0.6298828125}, {"start": 16.95, "end": 17.33, "word": " الضوء", "probability": 0.8541259765625}, {"start": 17.33, "end": 18.53, "word": " المنتظم", "probability": 0.8314453125}, {"start": 18.53, "end": 19.63, "word": " الانكسار", "probability": 0.9185546875}, {"start": 19.63, "end": 20.27, "word": " المنتظم", "probability": 0.910888671875}, {"start": 20.27, "end": 20.43, "word": " أو", "probability": 0.677734375}, {"start": 20.43, "end": 20.81, "word": " المرور", "probability": 0.95947265625}, {"start": 20.81, "end": 21.43, "word": " المنتظم", "probability": 0.9459228515625}, {"start": 21.43, "end": 21.91, "word": " للضوء", "probability": 0.9683837890625}, {"start": 21.91, "end": 22.37, "word": " طبعا", "probability": 0.976318359375}, {"start": 22.37, "end": 22.75, "word": " هدب", "probability": 0.3484700520833333}, {"start": 22.75, "end": 22.99, "word": " يعني", "probability": 0.71533203125}, {"start": 22.99, "end": 23.39, "word": " فيه", "probability": 0.963623046875}, {"start": 23.39, "end": 23.65, "word": " حين", "probability": 0.967041015625}, {"start": 23.65, "end": 23.81, "word": " ما", "probability": 0.4912109375}, {"start": 23.81, "end": 24.29, "word": " ينتقل", "probability": 0.9698486328125}, {"start": 24.29, "end": 24.59, "word": " الضوء", "probability": 0.96044921875}, {"start": 24.59, "end": 24.77, "word": " من", "probability": 0.98974609375}, {"start": 24.77, "end": 25.07, "word": " وسط", "probability": 0.96484375}, {"start": 25.07, "end": 25.51, "word": " بصري", "probability": 0.9890950520833334}, {"start": 25.51, "end": 26.57, "word": " لوسط", "probability": 0.9236653645833334}, {"start": 26.57, "end": 26.95, "word": " بصري", "probability": 0.99365234375}, {"start": 26.95, "end": 27.33, "word": " آخر", "probability": 0.80078125}, {"start": 27.33, "end": 27.55, "word": " يعني", "probability": 0.8154296875}, {"start": 27.55, "end": 27.71, "word": " من", "probability": 0.95458984375}, {"start": 27.71, "end": 28.11, "word": " optical", "probability": 0.5048828125}, {"start": 28.11, "end": 28.73, "word": " medium", "probability": 0.92431640625}, {"start": 28.73, "end": 29.73, "word": " ل", "probability": 0.91455078125}, {"start": 29.73, "end": 30.27, "word": " another", "probability": 0.904296875}, {"start": 30.27, "end": 30.87, "word": " optical", "probability": 0.9150390625}, {"start": 30.87, "end": 31.59, "word": " medium", "probability": 0.91064453125}], "temperature": 1.0}, {"id": 3, "seek": 5596, "start": 31.96, "end": 55.96, "text": "And of course, what governs this passage is the law of refraction, or the law of refraction, and what has another name, which is Snell's law. For the scholar Snell who discovered it. In specular transmission, the transmitted ray's direction bears definite relation to the incident ray's direction. That is, in the subject of transmission,", "tokens": [5289, 295, 1164, 11, 437, 1980, 82, 341, 11497, 307, 264, 2101, 295, 1895, 26766, 11, 420, 264, 2101, 295, 1895, 26766, 11, 293, 437, 575, 1071, 1315, 11, 597, 307, 318, 8903, 311, 2101, 13, 1171, 264, 17912, 318, 8903, 567, 6941, 309, 13, 682, 1608, 1040, 11574, 11, 264, 25355, 18592, 311, 3513, 17276, 25131, 9721, 281, 264, 9348, 18592, 311, 3513, 13, 663, 307, 11, 294, 264, 3983, 295, 11574, 11], "avg_logprob": -0.3924999976158142, "compression_ratio": 1.7422680412371134, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 31.96, "end": 32.16, "word": "And", "probability": 0.196044921875}, {"start": 32.16, "end": 32.34, "word": " of", "probability": 0.5751953125}, {"start": 32.34, "end": 32.44, "word": " course,", "probability": 0.95361328125}, {"start": 32.64, "end": 32.64, "word": " what", "probability": 0.34814453125}, {"start": 32.64, "end": 33.12, "word": " governs", "probability": 0.56817626953125}, {"start": 33.12, "end": 33.4, "word": " this", "probability": 0.81689453125}, {"start": 33.4, "end": 33.74, "word": " passage", "probability": 0.30322265625}, {"start": 33.74, "end": 34.04, "word": " is", "probability": 0.84521484375}, {"start": 34.04, "end": 34.36, "word": " the", "probability": 0.759765625}, {"start": 34.36, "end": 34.56, "word": " law", "probability": 0.6015625}, {"start": 34.56, "end": 34.8, "word": " of", "probability": 0.9609375}, {"start": 34.8, "end": 35.34, "word": " refraction,", "probability": 0.873291015625}, {"start": 35.5, "end": 35.5, "word": " or", "probability": 0.406005859375}, {"start": 35.5, "end": 35.74, "word": " the", "probability": 0.45458984375}, {"start": 35.74, "end": 35.98, "word": " law", "probability": 0.8505859375}, {"start": 35.98, "end": 36.22, "word": " of", "probability": 0.96630859375}, {"start": 36.22, "end": 36.92, "word": " refraction,", "probability": 0.874755859375}, {"start": 37.78, "end": 37.94, "word": " and", "probability": 0.6142578125}, {"start": 37.94, "end": 38.06, "word": " what", "probability": 0.409912109375}, {"start": 38.06, "end": 38.26, "word": " has", "probability": 0.8369140625}, {"start": 38.26, "end": 38.78, "word": " another", "probability": 0.7841796875}, {"start": 38.78, "end": 38.78, "word": " name,", "probability": 0.8974609375}, {"start": 38.98, "end": 39.04, "word": " which", "probability": 0.822265625}, {"start": 39.04, "end": 39.22, "word": " is", "probability": 0.93994140625}, {"start": 39.22, "end": 39.84, "word": " Snell's", "probability": 0.8426106770833334}, {"start": 39.84, "end": 40.18, "word": " law.", "probability": 0.60302734375}, {"start": 40.68, "end": 41.02, "word": " For", "probability": 0.335693359375}, {"start": 41.02, "end": 41.28, "word": " the", "probability": 0.705078125}, {"start": 41.28, "end": 41.62, "word": " scholar", "probability": 0.5029296875}, {"start": 41.62, "end": 43.1, "word": " Snell", "probability": 0.838134765625}, {"start": 43.1, "end": 43.42, "word": " who", "probability": 0.57861328125}, {"start": 43.42, "end": 43.8, "word": " discovered", "probability": 0.654296875}, {"start": 43.8, "end": 44.18, "word": " it.", "probability": 0.56005859375}, {"start": 44.98, "end": 45.18, "word": " In", "probability": 0.431884765625}, {"start": 45.18, "end": 45.72, "word": " specular", "probability": 0.7216796875}, {"start": 45.72, "end": 46.36, "word": " transmission,", "probability": 0.9365234375}, {"start": 47.16, "end": 47.32, "word": " the", "probability": 0.92138671875}, {"start": 47.32, "end": 47.98, "word": " transmitted", "probability": 0.95703125}, {"start": 47.98, "end": 48.66, "word": " ray's", "probability": 0.6849365234375}, {"start": 48.66, "end": 49.66, "word": " direction", "probability": 0.9716796875}, {"start": 49.66, "end": 50.44, "word": " bears", "probability": 0.830078125}, {"start": 50.44, "end": 50.9, "word": " definite", "probability": 0.90625}, {"start": 50.9, "end": 51.58, "word": " relation", "probability": 0.97607421875}, {"start": 51.58, "end": 52.0, "word": " to", "probability": 0.97509765625}, {"start": 52.0, "end": 52.18, "word": " the", "probability": 0.9228515625}, {"start": 52.18, "end": 52.58, "word": " incident", "probability": 0.9521484375}, {"start": 52.58, "end": 53.14, "word": " ray's", "probability": 0.96728515625}, {"start": 53.14, "end": 53.68, "word": " direction.", "probability": 0.97607421875}, {"start": 54.06, "end": 54.46, "word": " That", "probability": 0.197021484375}, {"start": 54.46, "end": 54.58, "word": " is,", "probability": 0.58837890625}, {"start": 54.72, "end": 54.86, "word": " in", "probability": 0.79443359375}, {"start": 54.86, "end": 54.98, "word": " the", "probability": 0.455078125}, {"start": 54.98, "end": 55.24, "word": " subject", "probability": 0.53271484375}, {"start": 55.24, "end": 55.38, "word": " of", "probability": 0.96044921875}, {"start": 55.38, "end": 55.96, "word": " transmission,", "probability": 0.9150390625}], "temperature": 1.0}, {"id": 4, "seek": 8518, "start": 57.72, "end": 85.18, "text": "The broken beam has a fixed, specific and determined relation to the fallen beam. That is, what connects the broken beam with the fallen beam is the fallen beam here. Now the beam is in the second medium. What is the relationship that links them spatially? The transmitted beam and the incident beam?", "tokens": [2278, 5463, 14269, 575, 257, 6806, 11, 2685, 293, 9540, 9721, 281, 264, 11547, 14269, 13, 663, 307, 11, 437, 16967, 264, 5463, 14269, 365, 264, 11547, 14269, 307, 264, 11547, 14269, 510, 13, 823, 264, 14269, 307, 294, 264, 1150, 6399, 13, 708, 307, 264, 2480, 300, 6123, 552, 15000, 2270, 30, 440, 25355, 14269, 293, 264, 9348, 14269, 30], "avg_logprob": -0.5922378936121541, "compression_ratio": 1.7142857142857142, "no_speech_prob": 1.1324882507324219e-06, "words": [{"start": 57.72, "end": 58.38, "word": "The", "probability": 0.34765625}, {"start": 58.38, "end": 58.76, "word": " broken", "probability": 0.73828125}, {"start": 58.76, "end": 58.82, "word": " beam", "probability": 0.1446533203125}, {"start": 58.82, "end": 60.56, "word": " has", "probability": 0.386962890625}, {"start": 60.56, "end": 61.24, "word": " a", "probability": 0.88818359375}, {"start": 61.24, "end": 61.58, "word": " fixed,", "probability": 0.454833984375}, {"start": 61.82, "end": 62.42, "word": " specific", "probability": 0.295166015625}, {"start": 62.42, "end": 62.62, "word": " and", "probability": 0.501953125}, {"start": 62.62, "end": 63.18, "word": " determined", "probability": 0.11212158203125}, {"start": 63.18, "end": 63.18, "word": " relation", "probability": 0.564453125}, {"start": 63.18, "end": 64.42, "word": " to", "probability": 0.399658203125}, {"start": 64.42, "end": 66.9, "word": " the", "probability": 0.54541015625}, {"start": 66.9, "end": 67.0, "word": " fallen", "probability": 0.381103515625}, {"start": 67.0, "end": 67.28, "word": " beam.", "probability": 0.7900390625}, {"start": 67.8, "end": 68.02, "word": " That", "probability": 0.1273193359375}, {"start": 68.02, "end": 68.04, "word": " is,", "probability": 0.68603515625}, {"start": 68.16, "end": 68.36, "word": " what", "probability": 0.392333984375}, {"start": 68.36, "end": 68.84, "word": " connects", "probability": 0.303955078125}, {"start": 68.84, "end": 69.72, "word": " the", "probability": 0.8447265625}, {"start": 69.72, "end": 69.94, "word": " broken", "probability": 0.8701171875}, {"start": 69.94, "end": 71.36, "word": " beam", "probability": 0.93701171875}, {"start": 71.36, "end": 71.58, "word": " with", "probability": 0.484375}, {"start": 71.58, "end": 71.74, "word": " the", "probability": 0.9013671875}, {"start": 71.74, "end": 71.78, "word": " fallen", "probability": 0.86328125}, {"start": 71.78, "end": 72.62, "word": " beam", "probability": 0.8857421875}, {"start": 72.62, "end": 72.88, "word": " is", "probability": 0.331787109375}, {"start": 72.88, "end": 73.0, "word": " the", "probability": 0.4599609375}, {"start": 73.0, "end": 73.04, "word": " fallen", "probability": 0.80419921875}, {"start": 73.04, "end": 73.52, "word": " beam", "probability": 0.931640625}, {"start": 73.52, "end": 74.08, "word": " here.", "probability": 0.36328125}, {"start": 75.3, "end": 75.66, "word": " Now", "probability": 0.859375}, {"start": 75.66, "end": 76.0, "word": " the", "probability": 0.272705078125}, {"start": 76.0, "end": 76.0, "word": " beam", "probability": 0.94677734375}, {"start": 76.0, "end": 76.58, "word": " is", "probability": 0.309326171875}, {"start": 76.58, "end": 76.88, "word": " in", "probability": 0.70703125}, {"start": 76.88, "end": 77.0, "word": " the", "probability": 0.85693359375}, {"start": 77.0, "end": 77.0, "word": " second", "probability": 0.50537109375}, {"start": 77.0, "end": 77.74, "word": " medium.", "probability": 0.97265625}, {"start": 78.56, "end": 78.82, "word": " What", "probability": 0.7783203125}, {"start": 78.82, "end": 78.84, "word": " is", "probability": 0.80126953125}, {"start": 78.84, "end": 78.98, "word": " the", "probability": 0.90576171875}, {"start": 78.98, "end": 79.3, "word": " relationship", "probability": 0.35595703125}, {"start": 79.3, "end": 79.54, "word": " that", "probability": 0.82373046875}, {"start": 79.54, "end": 79.88, "word": " links", "probability": 0.327392578125}, {"start": 79.88, "end": 80.06, "word": " them", "probability": 0.83154296875}, {"start": 80.06, "end": 80.68, "word": " spatially?", "probability": 0.532928466796875}, {"start": 80.9, "end": 81.04, "word": " The", "probability": 0.73876953125}, {"start": 81.04, "end": 83.02, "word": " transmitted", "probability": 0.79150390625}, {"start": 83.02, "end": 83.1, "word": " beam", "probability": 0.826171875}, {"start": 83.1, "end": 83.94, "word": " and", "probability": 0.86279296875}, {"start": 83.94, "end": 84.68, "word": " the", "probability": 0.78369140625}, {"start": 84.68, "end": 85.18, "word": " incident", "probability": 0.98388671875}, {"start": 85.18, "end": 85.18, "word": " beam?", "probability": 0.9638671875}], "temperature": 1.0}, {"id": 5, "seek": 11370, "start": 86.48, "end": 113.7, "text": "Before we talk about the relation, let's say that last time we talked about the inversion, not the contraction We said that there's a relation that connects the reflected beam with the reflected beam And we said that the relation is very simple, that first of all, both fall in the same space, the reflected beam and the reflected beam, and with them the column that stands on the separated surface", "tokens": [49731, 321, 751, 466, 264, 9721, 11, 718, 311, 584, 300, 1036, 565, 321, 2825, 466, 264, 43576, 11, 406, 264, 37372, 492, 848, 300, 456, 311, 257, 9721, 300, 16967, 264, 15502, 14269, 365, 264, 15502, 14269, 400, 321, 848, 300, 264, 9721, 307, 588, 2199, 11, 300, 700, 295, 439, 11, 1293, 2100, 294, 264, 912, 1901, 11, 264, 15502, 14269, 293, 264, 15502, 14269, 11, 293, 365, 552, 264, 7738, 300, 7382, 322, 264, 12005, 3753], "avg_logprob": -0.5417969040572643, "compression_ratio": 2.041025641025641, "no_speech_prob": 0.0, "words": [{"start": 86.48, "end": 86.88, "word": "Before", "probability": 0.5927734375}, {"start": 86.88, "end": 87.54, "word": " we", "probability": 0.615234375}, {"start": 87.54, "end": 87.72, "word": " talk", "probability": 0.6123046875}, {"start": 87.72, "end": 87.96, "word": " about", "probability": 0.90771484375}, {"start": 87.96, "end": 88.02, "word": " the", "probability": 0.509765625}, {"start": 88.02, "end": 88.26, "word": " relation,", "probability": 0.6015625}, {"start": 88.48, "end": 88.48, "word": " let's", "probability": 0.5413818359375}, {"start": 88.48, "end": 88.72, "word": " say", "probability": 0.5751953125}, {"start": 88.72, "end": 89.22, "word": " that", "probability": 0.455810546875}, {"start": 89.22, "end": 89.54, "word": " last", "probability": 0.5029296875}, {"start": 89.54, "end": 90.06, "word": " time", "probability": 0.8603515625}, {"start": 90.06, "end": 90.22, "word": " we", "probability": 0.83740234375}, {"start": 90.22, "end": 90.48, "word": " talked", "probability": 0.7333984375}, {"start": 90.48, "end": 90.82, "word": " about", "probability": 0.91552734375}, {"start": 90.82, "end": 90.92, "word": " the", "probability": 0.282470703125}, {"start": 90.92, "end": 91.36, "word": " inversion,", "probability": 0.143310546875}, {"start": 91.74, "end": 91.86, "word": " not", "probability": 0.84912109375}, {"start": 91.86, "end": 91.98, "word": " the", "probability": 0.8046875}, {"start": 91.98, "end": 92.38, "word": " contraction", "probability": 0.78369140625}, {"start": 92.38, "end": 93.6, "word": " We", "probability": 0.70166015625}, {"start": 93.6, "end": 93.76, "word": " said", "probability": 0.8818359375}, {"start": 93.76, "end": 93.94, "word": " that", "probability": 0.75341796875}, {"start": 93.94, "end": 94.04, "word": " there's", "probability": 0.6846923828125}, {"start": 94.04, "end": 94.6, "word": " a", "probability": 0.95263671875}, {"start": 94.6, "end": 94.6, "word": " relation", "probability": 0.93408203125}, {"start": 94.6, "end": 95.08, "word": " that", "probability": 0.6015625}, {"start": 95.08, "end": 95.56, "word": " connects", "probability": 0.638671875}, {"start": 95.56, "end": 96.64, "word": " the", "probability": 0.83935546875}, {"start": 96.64, "end": 97.14, "word": " reflected", "probability": 0.2822265625}, {"start": 97.14, "end": 97.14, "word": " beam", "probability": 0.2978515625}, {"start": 97.14, "end": 98.34, "word": " with", "probability": 0.72314453125}, {"start": 98.34, "end": 98.5, "word": " the", "probability": 0.9072265625}, {"start": 98.5, "end": 98.5, "word": " reflected", "probability": 0.1478271484375}, {"start": 98.5, "end": 100.54, "word": " beam", "probability": 0.92919921875}, {"start": 100.54, "end": 101.2, "word": " And", "probability": 0.49658203125}, {"start": 101.2, "end": 101.42, "word": " we", "probability": 0.8720703125}, {"start": 101.42, "end": 101.42, "word": " said", "probability": 0.869140625}, {"start": 101.42, "end": 101.56, "word": " that", "probability": 0.7294921875}, {"start": 101.56, "end": 101.6, "word": " the", "probability": 0.65478515625}, {"start": 101.6, "end": 101.96, "word": " relation", "probability": 0.92919921875}, {"start": 101.96, "end": 102.54, "word": " is", "probability": 0.7822265625}, {"start": 102.54, "end": 102.56, "word": " very", "probability": 0.4423828125}, {"start": 102.56, "end": 103.22, "word": " simple,", "probability": 0.87646484375}, {"start": 103.64, "end": 103.78, "word": " that", "probability": 0.472900390625}, {"start": 103.78, "end": 104.32, "word": " first", "probability": 0.454345703125}, {"start": 104.32, "end": 104.56, "word": " of", "probability": 0.4833984375}, {"start": 104.56, "end": 104.62, "word": " all,", "probability": 0.95068359375}, {"start": 104.66, "end": 105.16, "word": " both", "probability": 0.513671875}, {"start": 105.16, "end": 105.74, "word": " fall", "probability": 0.255126953125}, {"start": 105.74, "end": 105.98, "word": " in", "probability": 0.298828125}, {"start": 105.98, "end": 106.14, "word": " the", "probability": 0.33984375}, {"start": 106.14, "end": 106.42, "word": " same", "probability": 0.716796875}, {"start": 106.42, "end": 106.84, "word": " space,", "probability": 0.252197265625}, {"start": 107.34, "end": 107.44, "word": " the", "probability": 0.77880859375}, {"start": 107.44, "end": 108.12, "word": " reflected", "probability": 0.54833984375}, {"start": 108.12, "end": 108.2, "word": " beam", "probability": 0.763671875}, {"start": 108.2, "end": 108.88, "word": " and", "probability": 0.85205078125}, {"start": 108.88, "end": 108.98, "word": " the", "probability": 0.88525390625}, {"start": 108.98, "end": 109.02, "word": " reflected", "probability": 0.7998046875}, {"start": 109.02, "end": 109.72, "word": " beam,", "probability": 0.92236328125}, {"start": 110.12, "end": 110.22, "word": " and", "probability": 0.74951171875}, {"start": 110.22, "end": 110.42, "word": " with", "probability": 0.384521484375}, {"start": 110.42, "end": 110.72, "word": " them", "probability": 0.82763671875}, {"start": 110.72, "end": 111.34, "word": " the", "probability": 0.486328125}, {"start": 111.34, "end": 111.64, "word": " column", "probability": 0.461669921875}, {"start": 111.64, "end": 111.84, "word": " that", "probability": 0.366455078125}, {"start": 111.84, "end": 112.18, "word": " stands", "probability": 0.5009765625}, {"start": 112.18, "end": 112.56, "word": " on", "probability": 0.90380859375}, {"start": 112.56, "end": 112.86, "word": " the", "probability": 0.86962890625}, {"start": 112.86, "end": 113.7, "word": " separated", "probability": 0.128662109375}, {"start": 113.7, "end": 113.7, "word": " surface", "probability": 0.74365234375}], "temperature": 1.0}, {"id": 6, "seek": 13750, "start": 114.46, "end": 137.5, "text": "And another thing that connects them together is that θI is equal to θR, which means that the angle of incidence is equal to the angle of reflection. And if we increase the angle of incidence, the angle of reflection will increase by the same amount. If we decrease the angle of incidence, it will decrease by the same amount, which means that here it is 31.2 and here it is 31.2.", "tokens": [5289, 1071, 551, 300, 16967, 552, 1214, 307, 300, 12622, 40, 307, 2681, 281, 12622, 49, 11, 597, 1355, 300, 264, 5802, 295, 41726, 307, 2681, 281, 264, 5802, 295, 12914, 13, 400, 498, 321, 3488, 264, 5802, 295, 41726, 11, 264, 5802, 295, 12914, 486, 3488, 538, 264, 912, 2372, 13, 759, 321, 11514, 264, 5802, 295, 41726, 11, 309, 486, 11514, 538, 264, 912, 2372, 11, 597, 1355, 300, 510, 309, 307, 10353, 13, 17, 293, 510, 309, 307, 10353, 13, 17, 13], "avg_logprob": -0.38372093681679215, "compression_ratio": 2.1340782122905027, "no_speech_prob": 2.6226043701171875e-06, "words": [{"start": 114.46, "end": 114.66, "word": "And", "probability": 0.1876220703125}, {"start": 114.66, "end": 115.1, "word": " another", "probability": 0.45361328125}, {"start": 115.1, "end": 115.54, "word": " thing", "probability": 0.363037109375}, {"start": 115.54, "end": 115.7, "word": " that", "probability": 0.40185546875}, {"start": 115.7, "end": 116.02, "word": " connects", "probability": 0.416748046875}, {"start": 116.02, "end": 116.26, "word": " them", "probability": 0.76904296875}, {"start": 116.26, "end": 116.76, "word": " together", "probability": 0.460693359375}, {"start": 116.76, "end": 117.02, "word": " is", "probability": 0.86669921875}, {"start": 117.02, "end": 117.7, "word": " that", "probability": 0.437255859375}, {"start": 117.7, "end": 118.54, "word": " θI", "probability": 0.6396484375}, {"start": 118.54, "end": 118.78, "word": " is", "probability": 0.060791015625}, {"start": 118.78, "end": 119.02, "word": " equal", "probability": 0.8232421875}, {"start": 119.02, "end": 119.1, "word": " to", "probability": 0.98095703125}, {"start": 119.1, "end": 120.14, "word": " θR,", "probability": 0.878662109375}, {"start": 120.34, "end": 120.44, "word": " which", "probability": 0.42333984375}, {"start": 120.44, "end": 120.52, "word": " means", "probability": 0.609375}, {"start": 120.52, "end": 120.64, "word": " that", "probability": 0.74267578125}, {"start": 120.64, "end": 120.64, "word": " the", "probability": 0.80517578125}, {"start": 120.64, "end": 120.8, "word": " angle", "probability": 0.59326171875}, {"start": 120.8, "end": 120.96, "word": " of", "probability": 0.93505859375}, {"start": 120.96, "end": 121.24, "word": " incidence", "probability": 0.162353515625}, {"start": 121.24, "end": 122.08, "word": " is", "probability": 0.64306640625}, {"start": 122.08, "end": 122.5, "word": " equal", "probability": 0.80029296875}, {"start": 122.5, "end": 122.5, "word": " to", "probability": 0.97119140625}, {"start": 122.5, "end": 122.5, "word": " the", "probability": 0.82373046875}, {"start": 122.5, "end": 122.7, "word": " angle", "probability": 0.8779296875}, {"start": 122.7, "end": 122.82, "word": " of", "probability": 0.97509765625}, {"start": 122.82, "end": 123.18, "word": " reflection.", "probability": 0.1903076171875}, {"start": 123.44, "end": 123.54, "word": " And", "probability": 0.49462890625}, {"start": 123.54, "end": 123.7, "word": " if", "probability": 0.9140625}, {"start": 123.7, "end": 124.2, "word": " we", "probability": 0.8076171875}, {"start": 124.2, "end": 124.2, "word": " increase", "probability": 0.64111328125}, {"start": 124.2, "end": 124.38, "word": " the", "probability": 0.9140625}, {"start": 124.38, "end": 124.58, "word": " angle", "probability": 0.908203125}, {"start": 124.58, "end": 124.72, "word": " of", "probability": 0.96044921875}, {"start": 124.72, "end": 125.06, "word": " incidence,", "probability": 0.97021484375}, {"start": 126.66, "end": 126.96, "word": " the", "probability": 0.35546875}, {"start": 126.96, "end": 126.96, "word": " angle", "probability": 0.93212890625}, {"start": 126.96, "end": 126.96, "word": " of", "probability": 0.9658203125}, {"start": 126.96, "end": 126.96, "word": " reflection", "probability": 0.8466796875}, {"start": 126.96, "end": 126.96, "word": " will", "probability": 0.69873046875}, {"start": 126.96, "end": 127.2, "word": " increase", "probability": 0.75927734375}, {"start": 127.2, "end": 127.36, "word": " by", "probability": 0.69677734375}, {"start": 127.36, "end": 127.48, "word": " the", "probability": 0.8662109375}, {"start": 127.48, "end": 127.66, "word": " same", "probability": 0.912109375}, {"start": 127.66, "end": 128.14, "word": " amount.", "probability": 0.455810546875}, {"start": 129.62, "end": 130.06, "word": " If", "probability": 0.68505859375}, {"start": 130.06, "end": 130.6, "word": " we", "probability": 0.95703125}, {"start": 130.6, "end": 130.6, "word": " decrease", "probability": 0.6875}, {"start": 130.6, "end": 130.8, "word": " the", "probability": 0.91796875}, {"start": 130.8, "end": 131.0, "word": " angle", "probability": 0.91357421875}, {"start": 131.0, "end": 131.16, "word": " of", "probability": 0.96484375}, {"start": 131.16, "end": 131.48, "word": " incidence,", "probability": 0.9716796875}, {"start": 132.66, "end": 132.9, "word": " it", "probability": 0.73876953125}, {"start": 132.9, "end": 133.1, "word": " will", "probability": 0.82421875}, {"start": 133.1, "end": 133.32, "word": " decrease", "probability": 0.8037109375}, {"start": 133.32, "end": 133.46, "word": " by", "probability": 0.9677734375}, {"start": 133.46, "end": 133.62, "word": " the", "probability": 0.90625}, {"start": 133.62, "end": 133.76, "word": " same", "probability": 0.91064453125}, {"start": 133.76, "end": 134.12, "word": " amount,", "probability": 0.84423828125}, {"start": 134.22, "end": 134.32, "word": " which", "probability": 0.42333984375}, {"start": 134.32, "end": 134.32, "word": " means", "probability": 0.455078125}, {"start": 134.32, "end": 134.4, "word": " that", "probability": 0.61083984375}, {"start": 134.4, "end": 134.48, "word": " here", "probability": 0.57080078125}, {"start": 134.48, "end": 134.52, "word": " it", "probability": 0.5185546875}, {"start": 134.52, "end": 134.52, "word": " is", "probability": 0.759765625}, {"start": 134.52, "end": 135.06, "word": " 31", "probability": 0.71533203125}, {"start": 135.06, "end": 135.58, "word": ".2", "probability": 0.814697265625}, {"start": 135.58, "end": 136.14, "word": " and", "probability": 0.406982421875}, {"start": 136.14, "end": 136.32, "word": " here", "probability": 0.845703125}, {"start": 136.32, "end": 136.4, "word": " it", "probability": 0.87255859375}, {"start": 136.4, "end": 136.4, "word": " is", "probability": 0.94091796875}, {"start": 136.4, "end": 136.72, "word": " 31", "probability": 0.97607421875}, {"start": 136.72, "end": 137.5, "word": ".2.", "probability": 0.99462890625}], "temperature": 1.0}, {"id": 7, "seek": 16629, "start": 139.49, "end": 166.29, "text": "The falling rays, and the reflected rays, and the column that stands on the separated surface, all fall at the same spatial level, and the angle of fall is equal to the angle of reflection, and this is the whole relationship, and these two sentences are called the law of reflection. Today we want to see what is the relationship that connects the falling rays, this time not with the reflected rays, with the MAR rays, the transmitted ray or refracted ray.", "tokens": [2278, 7440, 24417, 11, 293, 264, 15502, 24417, 11, 293, 264, 7738, 300, 7382, 322, 264, 12005, 3753, 11, 439, 2100, 412, 264, 912, 23598, 1496, 11, 293, 264, 5802, 295, 2100, 307, 2681, 281, 264, 5802, 295, 12914, 11, 293, 341, 307, 264, 1379, 2480, 11, 293, 613, 732, 16579, 366, 1219, 264, 2101, 295, 12914, 13, 2692, 321, 528, 281, 536, 437, 307, 264, 2480, 300, 16967, 264, 7440, 24417, 11, 341, 565, 406, 365, 264, 15502, 24417, 11, 365, 264, 12191, 49, 24417, 11, 264, 25355, 18592, 420, 45353, 292, 18592, 13], "avg_logprob": -0.5179036284486452, "compression_ratio": 2.0585585585585586, "no_speech_prob": 1.5497207641601562e-06, "words": [{"start": 139.48999999999998, "end": 139.95, "word": "The", "probability": 0.5390625}, {"start": 139.95, "end": 140.41, "word": " falling", "probability": 0.226318359375}, {"start": 140.41, "end": 140.41, "word": " rays,", "probability": 0.356201171875}, {"start": 140.77, "end": 140.77, "word": " and", "probability": 0.2440185546875}, {"start": 140.77, "end": 140.81, "word": " the", "probability": 0.80419921875}, {"start": 140.81, "end": 141.71, "word": " reflected", "probability": 0.355224609375}, {"start": 141.71, "end": 141.91, "word": " rays,", "probability": 0.92626953125}, {"start": 142.29, "end": 142.49, "word": " and", "probability": 0.92626953125}, {"start": 142.49, "end": 142.59, "word": " the", "probability": 0.81640625}, {"start": 142.59, "end": 142.91, "word": " column", "probability": 0.49169921875}, {"start": 142.91, "end": 143.09, "word": " that", "probability": 0.1912841796875}, {"start": 143.09, "end": 143.45, "word": " stands", "probability": 0.381591796875}, {"start": 143.45, "end": 143.69, "word": " on", "probability": 0.84814453125}, {"start": 143.69, "end": 143.85, "word": " the", "probability": 0.7607421875}, {"start": 143.85, "end": 144.49, "word": " separated", "probability": 0.096435546875}, {"start": 144.49, "end": 144.53, "word": " surface,", "probability": 0.68505859375}, {"start": 144.71, "end": 144.97, "word": " all", "probability": 0.7236328125}, {"start": 144.97, "end": 145.39, "word": " fall", "probability": 0.5615234375}, {"start": 145.39, "end": 145.61, "word": " at", "probability": 0.314697265625}, {"start": 145.61, "end": 145.71, "word": " the", "probability": 0.30126953125}, {"start": 145.71, "end": 145.89, "word": " same", "probability": 0.6689453125}, {"start": 145.89, "end": 146.43, "word": " spatial", "probability": 0.305908203125}, {"start": 146.43, "end": 146.61, "word": " level,", "probability": 0.7958984375}, {"start": 147.39, "end": 147.81, "word": " and", "probability": 0.30908203125}, {"start": 147.81, "end": 148.09, "word": " the", "probability": 0.380859375}, {"start": 148.09, "end": 148.09, "word": " angle", "probability": 0.326416015625}, {"start": 148.09, "end": 148.31, "word": " of", "probability": 0.9306640625}, {"start": 148.31, "end": 148.63, "word": " fall", "probability": 0.4052734375}, {"start": 148.63, "end": 148.93, "word": " is", "probability": 0.59375}, {"start": 148.93, "end": 149.15, "word": " equal", "probability": 0.72998046875}, {"start": 149.15, "end": 149.27, "word": " to", "probability": 0.96630859375}, {"start": 149.27, "end": 149.51, "word": " the", "probability": 0.86474609375}, {"start": 149.51, "end": 149.51, "word": " angle", "probability": 0.90185546875}, {"start": 149.51, "end": 149.73, "word": " of", "probability": 0.96826171875}, {"start": 149.73, "end": 150.41, "word": " reflection,", "probability": 0.55029296875}, {"start": 150.63, "end": 150.69, "word": " and", "probability": 0.8779296875}, {"start": 150.69, "end": 150.87, "word": " this", "probability": 0.552734375}, {"start": 150.87, "end": 150.89, "word": " is", "probability": 0.68603515625}, {"start": 150.89, "end": 151.99, "word": " the", "probability": 0.58642578125}, {"start": 151.99, "end": 152.15, "word": " whole", "probability": 0.51123046875}, {"start": 152.15, "end": 152.29, "word": " relationship,", "probability": 0.6728515625}, {"start": 152.37, "end": 152.49, "word": " and", "probability": 0.87109375}, {"start": 152.49, "end": 152.73, "word": " these", "probability": 0.61962890625}, {"start": 152.73, "end": 152.93, "word": " two", "probability": 0.89501953125}, {"start": 152.93, "end": 153.17, "word": " sentences", "probability": 0.873046875}, {"start": 153.17, "end": 153.85, "word": " are", "probability": 0.263671875}, {"start": 153.85, "end": 154.05, "word": " called", "probability": 0.853515625}, {"start": 154.05, "end": 154.15, "word": " the", "probability": 0.73974609375}, {"start": 154.15, "end": 154.55, "word": " law", "probability": 0.8232421875}, {"start": 154.55, "end": 154.77, "word": " of", "probability": 0.970703125}, {"start": 154.77, "end": 155.23, "word": " reflection.", "probability": 0.6474609375}, {"start": 155.95, "end": 156.25, "word": " Today", "probability": 0.82861328125}, {"start": 156.25, "end": 156.49, "word": " we", "probability": 0.5986328125}, {"start": 156.49, "end": 156.73, "word": " want", "probability": 0.650390625}, {"start": 156.73, "end": 156.85, "word": " to", "probability": 0.9716796875}, {"start": 156.85, "end": 157.03, "word": " see", "probability": 0.81005859375}, {"start": 157.03, "end": 157.31, "word": " what", "probability": 0.8271484375}, {"start": 157.31, "end": 157.33, "word": " is", "probability": 0.358154296875}, {"start": 157.33, "end": 157.43, "word": " the", "probability": 0.90087890625}, {"start": 157.43, "end": 157.77, "word": " relationship", "probability": 0.6982421875}, {"start": 157.77, "end": 158.03, "word": " that", "probability": 0.79833984375}, {"start": 158.03, "end": 158.61, "word": " connects", "probability": 0.5732421875}, {"start": 158.61, "end": 159.41, "word": " the", "probability": 0.81982421875}, {"start": 159.41, "end": 159.51, "word": " falling", "probability": 0.658203125}, {"start": 159.51, "end": 160.47, "word": " rays,", "probability": 0.81591796875}, {"start": 160.73, "end": 160.85, "word": " this", "probability": 0.7529296875}, {"start": 160.85, "end": 161.05, "word": " time", "probability": 0.8876953125}, {"start": 161.05, "end": 161.35, "word": " not", "probability": 0.7685546875}, {"start": 161.35, "end": 161.45, "word": " with", "probability": 0.65771484375}, {"start": 161.45, "end": 161.55, "word": " the", "probability": 0.84716796875}, {"start": 161.55, "end": 162.21, "word": " reflected", "probability": 0.81201171875}, {"start": 162.21, "end": 162.31, "word": " rays,", "probability": 0.92138671875}, {"start": 162.73, "end": 162.87, "word": " with", "probability": 0.62939453125}, {"start": 162.87, "end": 163.01, "word": " the", "probability": 0.81201171875}, {"start": 163.01, "end": 163.89, "word": " MAR", "probability": 0.3882904052734375}, {"start": 163.89, "end": 163.89, "word": " rays,", "probability": 0.73291015625}, {"start": 164.09, "end": 164.13, "word": " the", "probability": 0.41357421875}, {"start": 164.13, "end": 164.67, "word": " transmitted", "probability": 0.79150390625}, {"start": 164.67, "end": 165.03, "word": " ray", "probability": 0.59423828125}, {"start": 165.03, "end": 165.33, "word": " or", "probability": 0.48583984375}, {"start": 165.33, "end": 166.11, "word": " refracted", "probability": 0.851318359375}, {"start": 166.11, "end": 166.29, "word": " ray.", "probability": 0.89111328125}], "temperature": 1.0}, {"id": 8, "seek": 19421, "start": 166.89, "end": 194.21, "text": "We can say why we use two terms Transmitted ray and refracted ray We usually take the first letter of the word and mark it with an angle For example here incident ray The word incident starts with the letter I so we call it θI Reflected ray is the angle of reflection", "tokens": [4360, 393, 584, 983, 321, 764, 732, 2115, 6531, 76, 3944, 18592, 293, 45353, 292, 18592, 492, 2673, 747, 264, 700, 5063, 295, 264, 1349, 293, 1491, 309, 365, 364, 5802, 1171, 1365, 510, 9348, 18592, 440, 1349, 9348, 3719, 365, 264, 5063, 286, 370, 321, 818, 309, 12622, 40, 16957, 1809, 292, 18592, 307, 264, 5802, 295, 12914], "avg_logprob": -0.5104166934887568, "compression_ratio": 1.5952380952380953, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 166.89, "end": 167.37, "word": "We", "probability": 0.2939453125}, {"start": 167.37, "end": 167.53, "word": " can", "probability": 0.53369140625}, {"start": 167.53, "end": 167.91, "word": " say", "probability": 0.60498046875}, {"start": 167.91, "end": 168.11, "word": " why", "probability": 0.272705078125}, {"start": 168.11, "end": 168.33, "word": " we", "probability": 0.82177734375}, {"start": 168.33, "end": 168.89, "word": " use", "probability": 0.73828125}, {"start": 168.89, "end": 169.07, "word": " two", "probability": 0.400634765625}, {"start": 169.07, "end": 169.39, "word": " terms", "probability": 0.7421875}, {"start": 169.39, "end": 170.43, "word": " Transmitted", "probability": 0.72900390625}, {"start": 170.43, "end": 170.67, "word": " ray", "probability": 0.82958984375}, {"start": 170.67, "end": 171.39, "word": " and", "probability": 0.85595703125}, {"start": 171.39, "end": 172.01, "word": " refracted", "probability": 0.890380859375}, {"start": 172.01, "end": 172.43, "word": " ray", "probability": 0.93701171875}, {"start": 172.43, "end": 172.75, "word": " We", "probability": 0.55126953125}, {"start": 172.75, "end": 173.49, "word": " usually", "probability": 0.259033203125}, {"start": 173.49, "end": 173.89, "word": " take", "probability": 0.332763671875}, {"start": 173.89, "end": 177.13, "word": " the", "probability": 0.72705078125}, {"start": 177.13, "end": 177.37, "word": " first", "probability": 0.8017578125}, {"start": 177.37, "end": 177.89, "word": " letter", "probability": 0.80322265625}, {"start": 177.89, "end": 178.33, "word": " of", "probability": 0.53369140625}, {"start": 178.33, "end": 178.33, "word": " the", "probability": 0.5166015625}, {"start": 178.33, "end": 178.33, "word": " word", "probability": 0.5615234375}, {"start": 178.33, "end": 179.13, "word": " and", "probability": 0.64208984375}, {"start": 179.13, "end": 180.01, "word": " mark", "probability": 0.305908203125}, {"start": 180.01, "end": 180.29, "word": " it", "probability": 0.3359375}, {"start": 180.29, "end": 180.37, "word": " with", "probability": 0.38671875}, {"start": 180.37, "end": 180.75, "word": " an", "probability": 0.45849609375}, {"start": 180.75, "end": 180.89, "word": " angle", "probability": 0.7587890625}, {"start": 180.89, "end": 182.37, "word": " For", "probability": 0.2186279296875}, {"start": 182.37, "end": 182.69, "word": " example", "probability": 0.91357421875}, {"start": 182.69, "end": 182.97, "word": " here", "probability": 0.3984375}, {"start": 182.97, "end": 183.87, "word": " incident", "probability": 0.67626953125}, {"start": 183.87, "end": 184.37, "word": " ray", "probability": 0.95166015625}, {"start": 184.37, "end": 184.75, "word": " The", "probability": 0.1448974609375}, {"start": 184.75, "end": 184.91, "word": " word", "probability": 0.79736328125}, {"start": 184.91, "end": 185.71, "word": " incident", "probability": 0.9326171875}, {"start": 185.71, "end": 186.95, "word": " starts", "probability": 0.52392578125}, {"start": 186.95, "end": 187.11, "word": " with", "probability": 0.88671875}, {"start": 187.11, "end": 187.19, "word": " the", "probability": 0.493408203125}, {"start": 187.19, "end": 187.33, "word": " letter", "probability": 0.8349609375}, {"start": 187.33, "end": 187.71, "word": " I", "probability": 0.7021484375}, {"start": 187.71, "end": 187.91, "word": " so", "probability": 0.30224609375}, {"start": 187.91, "end": 188.13, "word": " we", "probability": 0.68115234375}, {"start": 188.13, "end": 188.37, "word": " call", "probability": 0.60400390625}, {"start": 188.37, "end": 188.71, "word": " it", "probability": 0.619140625}, {"start": 188.71, "end": 189.91, "word": " θI", "probability": 0.5311279296875}, {"start": 189.91, "end": 191.53, "word": " Reflected", "probability": 0.9485677083333334}, {"start": 191.53, "end": 191.83, "word": " ray", "probability": 0.93359375}, {"start": 191.83, "end": 193.29, "word": " is", "probability": 0.4296875}, {"start": 193.29, "end": 193.45, "word": " the", "probability": 0.751953125}, {"start": 193.45, "end": 193.63, "word": " angle", "probability": 0.74853515625}, {"start": 193.63, "end": 193.85, "word": " of", "probability": 0.93212890625}, {"start": 193.85, "end": 194.21, "word": " reflection", "probability": 0.67822265625}], "temperature": 1.0}, {"id": 9, "seek": 21477, "start": 194.77, "end": 214.77, "text": "Angle of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection of reflection", "tokens": [23156, 306, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914, 295, 12914], "avg_logprob": -0.1324305491977268, "compression_ratio": 39.97435897435897, "no_speech_prob": 5.7220458984375e-06, "words": [{"start": 194.77, "end": 195.63, "word": "Angle", "probability": 0.5543212890625}, {"start": 195.63, "end": 195.93, "word": " of", "probability": 0.9521484375}, {"start": 195.93, "end": 196.71, "word": " reflection", "probability": 0.72021484375}, {"start": 196.71, "end": 196.99, "word": " of", "probability": 0.49658203125}, {"start": 196.99, "end": 198.19, "word": " reflection", "probability": 0.8759765625}, {"start": 198.19, "end": 198.47, "word": " of", "probability": 0.291748046875}, {"start": 198.47, "end": 198.99, "word": " reflection", "probability": 0.7314453125}, {"start": 198.99, "end": 198.99, "word": " of", "probability": 0.218505859375}, {"start": 198.99, "end": 199.57, "word": " reflection", "probability": 0.83154296875}, {"start": 199.57, "end": 199.81, "word": " of", "probability": 0.392822265625}, {"start": 199.81, "end": 199.81, "word": " reflection", "probability": 0.84033203125}, {"start": 199.81, "end": 199.81, "word": " of", "probability": 0.65234375}, {"start": 199.81, "end": 199.81, "word": " reflection", "probability": 0.85498046875}, {"start": 199.81, "end": 199.81, "word": " of", "probability": 0.7216796875}, {"start": 199.81, "end": 199.81, "word": " reflection", "probability": 0.86181640625}, {"start": 199.81, "end": 199.81, "word": " of", "probability": 0.74951171875}, {"start": 199.81, "end": 199.81, "word": " reflection", "probability": 0.8603515625}, {"start": 199.81, "end": 199.81, "word": " of", "probability": 0.7626953125}, {"start": 199.81, "end": 199.81, "word": " reflection", "probability": 0.85986328125}, {"start": 199.81, "end": 199.81, "word": " of", "probability": 0.78564453125}, {"start": 199.81, "end": 199.81, "word": " reflection", "probability": 0.8603515625}, {"start": 199.81, "end": 200.67, "word": " of", "probability": 0.80908203125}, {"start": 200.67, "end": 200.67, "word": " reflection", "probability": 0.86181640625}, {"start": 200.67, "end": 200.67, "word": " of", "probability": 0.82958984375}, {"start": 200.67, "end": 200.67, "word": " reflection", "probability": 0.86279296875}, {"start": 200.67, "end": 200.67, "word": " of", "probability": 0.841796875}, {"start": 200.67, "end": 200.67, "word": " reflection", "probability": 0.86376953125}, {"start": 200.67, "end": 200.67, "word": " of", "probability": 0.8544921875}, {"start": 200.67, "end": 200.67, "word": " reflection", "probability": 0.86181640625}, {"start": 200.67, "end": 200.67, "word": " of", "probability": 0.86181640625}, {"start": 200.67, "end": 200.67, "word": " reflection", "probability": 0.86083984375}, {"start": 200.67, "end": 200.67, "word": " of", "probability": 0.86962890625}, {"start": 200.67, "end": 200.67, "word": " reflection", "probability": 0.861328125}, {"start": 200.67, "end": 201.39, "word": " of", "probability": 0.87548828125}, {"start": 201.39, "end": 201.39, "word": " reflection", "probability": 0.8603515625}, {"start": 201.39, "end": 201.41, "word": " of", "probability": 0.88037109375}, {"start": 201.41, "end": 201.41, "word": " reflection", "probability": 0.85888671875}, {"start": 201.41, "end": 201.43, "word": " of", "probability": 0.88232421875}, {"start": 201.43, "end": 201.43, "word": " reflection", "probability": 0.8583984375}, {"start": 201.43, "end": 201.43, "word": " of", "probability": 0.884765625}, {"start": 201.43, "end": 201.43, "word": " reflection", "probability": 0.8583984375}, {"start": 201.43, "end": 201.51, "word": " of", "probability": 0.88720703125}, {"start": 201.51, "end": 201.51, "word": " reflection", "probability": 0.85888671875}, {"start": 201.51, "end": 201.63, "word": " of", "probability": 0.890625}, {"start": 201.63, "end": 201.63, "word": " reflection", "probability": 0.8583984375}, {"start": 201.63, "end": 201.63, "word": " of", "probability": 0.89208984375}, {"start": 201.63, "end": 201.63, "word": " reflection", "probability": 0.859375}, {"start": 201.63, "end": 201.63, "word": " of", "probability": 0.89306640625}, {"start": 201.63, "end": 201.63, "word": " reflection", "probability": 0.85986328125}, {"start": 201.63, "end": 201.81, "word": " of", "probability": 0.8955078125}, {"start": 201.81, "end": 201.81, "word": " reflection", "probability": 0.861328125}, {"start": 201.81, "end": 201.81, "word": " of", "probability": 0.89697265625}, {"start": 201.81, "end": 201.81, "word": " reflection", "probability": 0.8623046875}, {"start": 201.81, "end": 201.81, "word": " of", "probability": 0.8974609375}, {"start": 201.81, "end": 201.81, "word": " reflection", "probability": 0.86181640625}, {"start": 201.81, "end": 201.89, "word": " of", "probability": 0.89990234375}, {"start": 201.89, "end": 201.97, "word": " reflection", "probability": 0.86279296875}, {"start": 201.97, "end": 201.97, "word": " of", "probability": 0.9013671875}, {"start": 201.97, "end": 201.97, "word": " reflection", "probability": 0.86376953125}, {"start": 201.97, "end": 202.29, "word": " of", "probability": 0.90087890625}, {"start": 202.29, "end": 202.29, "word": " reflection", "probability": 0.8662109375}, {"start": 202.29, "end": 202.29, "word": " of", "probability": 0.90234375}, {"start": 202.29, "end": 202.29, "word": " reflection", "probability": 0.86669921875}, {"start": 202.29, "end": 202.29, "word": " of", "probability": 0.9033203125}, {"start": 202.29, "end": 202.29, "word": " reflection", "probability": 0.86962890625}, {"start": 202.29, "end": 202.29, "word": " of", "probability": 0.90478515625}, {"start": 202.29, "end": 202.29, "word": " reflection", "probability": 0.87158203125}, {"start": 202.29, "end": 202.29, "word": " of", "probability": 0.90576171875}, {"start": 202.29, "end": 202.29, "word": " reflection", "probability": 0.87255859375}, {"start": 202.29, "end": 203.21, "word": " of", "probability": 0.90673828125}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.875}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.90771484375}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.876953125}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.90771484375}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.8798828125}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.90966796875}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.880859375}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.90966796875}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.8837890625}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.9111328125}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.8857421875}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.91162109375}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.8896484375}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.9130859375}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.8916015625}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.91357421875}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.89306640625}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.9140625}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.89599609375}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.91650390625}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.89794921875}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.9169921875}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.90087890625}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.91845703125}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.90380859375}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.91796875}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.90478515625}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.91943359375}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.90673828125}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.9208984375}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.9072265625}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.921875}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.91015625}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.923828125}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.91015625}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.9248046875}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.91162109375}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.92724609375}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.91259765625}, {"start": 203.21, "end": 203.21, "word": " of", "probability": 0.92724609375}, {"start": 203.21, "end": 203.21, "word": " reflection", "probability": 0.91357421875}, {"start": 203.21, "end": 203.75, "word": " of", "probability": 0.93017578125}, {"start": 203.75, "end": 203.75, "word": " reflection", "probability": 0.9140625}, {"start": 203.75, "end": 203.75, "word": " of", "probability": 0.93017578125}, {"start": 203.75, "end": 203.75, "word": " reflection", "probability": 0.91455078125}, {"start": 203.75, "end": 203.75, "word": " of", "probability": 0.93212890625}, {"start": 203.75, "end": 203.75, "word": " reflection", "probability": 0.91357421875}, {"start": 203.75, "end": 203.75, "word": " of", "probability": 0.9345703125}, {"start": 203.75, "end": 203.75, "word": " reflection", "probability": 0.9140625}, {"start": 203.75, "end": 203.75, "word": " of", "probability": 0.935546875}, {"start": 203.75, "end": 203.75, "word": " reflection", "probability": 0.91357421875}, {"start": 203.75, "end": 203.75, "word": " of", "probability": 0.93701171875}, {"start": 203.75, "end": 203.75, "word": " reflection", "probability": 0.91259765625}, {"start": 203.75, "end": 203.75, "word": " of", "probability": 0.93896484375}, {"start": 203.75, "end": 203.75, "word": " reflection", "probability": 0.9111328125}, {"start": 203.75, "end": 204.67, "word": " of", "probability": 0.9423828125}, {"start": 204.67, "end": 204.67, "word": " reflection", "probability": 0.9111328125}, {"start": 204.67, "end": 204.67, "word": " of", "probability": 0.943359375}, {"start": 204.67, "end": 204.67, "word": " reflection", "probability": 0.9111328125}, {"start": 204.67, "end": 204.67, "word": " of", "probability": 0.94384765625}, {"start": 204.67, "end": 204.67, "word": " reflection", "probability": 0.9091796875}, {"start": 204.67, "end": 204.67, "word": " of", "probability": 0.9462890625}, {"start": 204.67, "end": 204.75, "word": " reflection", "probability": 0.9091796875}, {"start": 204.75, "end": 204.75, "word": " of", "probability": 0.947265625}, {"start": 204.75, "end": 204.75, "word": " reflection", "probability": 0.90771484375}, {"start": 204.75, "end": 204.75, "word": " of", "probability": 0.94921875}, {"start": 204.75, "end": 204.75, "word": " reflection", "probability": 0.904296875}, {"start": 204.75, "end": 205.55, "word": " of", "probability": 0.951171875}, {"start": 205.55, "end": 205.55, "word": " reflection", "probability": 0.904296875}, {"start": 205.55, "end": 205.55, "word": " of", "probability": 0.9521484375}, {"start": 205.55, "end": 205.55, "word": " reflection", "probability": 0.90185546875}, {"start": 205.55, "end": 205.55, "word": " of", "probability": 0.9521484375}, {"start": 205.55, "end": 205.55, "word": " reflection", "probability": 0.90234375}, {"start": 205.55, "end": 205.55, "word": " of", "probability": 0.95556640625}, {"start": 205.55, "end": 205.55, "word": " reflection", "probability": 0.90234375}, {"start": 205.55, "end": 205.55, "word": " of", "probability": 0.95556640625}, {"start": 205.55, "end": 205.55, "word": " reflection", "probability": 0.90185546875}, {"start": 205.55, "end": 206.11, "word": " of", "probability": 0.95703125}, {"start": 206.11, "end": 206.11, "word": " reflection", "probability": 0.8994140625}, {"start": 206.11, "end": 206.11, "word": " of", "probability": 0.9580078125}, {"start": 206.11, "end": 206.11, "word": " reflection", "probability": 0.89990234375}, {"start": 206.11, "end": 206.15, "word": " of", "probability": 0.95849609375}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.89990234375}, {"start": 206.15, "end": 206.15, "word": " of", "probability": 0.95849609375}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.89990234375}, {"start": 206.15, "end": 206.15, "word": " of", "probability": 0.96044921875}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.90234375}, {"start": 206.15, "end": 206.15, "word": " of", "probability": 0.9609375}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.9013671875}, {"start": 206.15, "end": 206.15, "word": " of", "probability": 0.96142578125}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.90087890625}, {"start": 206.15, "end": 206.15, "word": " of", "probability": 0.96142578125}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.9013671875}, {"start": 206.15, "end": 206.15, "word": " of", "probability": 0.9619140625}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.90185546875}, {"start": 206.15, "end": 206.15, "word": " of", "probability": 0.96240234375}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.90185546875}, {"start": 206.15, "end": 206.15, "word": " of", "probability": 0.962890625}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.90478515625}, {"start": 206.15, "end": 206.15, "word": " of", "probability": 0.96240234375}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.90283203125}, {"start": 206.15, "end": 206.15, "word": " of", "probability": 0.96240234375}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.90625}, {"start": 206.15, "end": 206.15, "word": " of", "probability": 0.96240234375}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.90771484375}, {"start": 206.15, "end": 206.15, "word": " of", "probability": 0.96240234375}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.91064453125}, {"start": 206.15, "end": 206.15, "word": " of", "probability": 0.96240234375}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.9111328125}, {"start": 206.15, "end": 206.15, "word": " of", "probability": 0.96240234375}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.91064453125}, {"start": 206.15, "end": 206.15, "word": " of", "probability": 0.9619140625}, {"start": 206.15, "end": 206.15, "word": " reflection", "probability": 0.9130859375}, {"start": 206.15, "end": 206.23, "word": " of", "probability": 0.96142578125}, {"start": 206.23, "end": 206.23, "word": " reflection", "probability": 0.9150390625}, {"start": 206.23, "end": 206.23, "word": " of", "probability": 0.96044921875}, {"start": 206.23, "end": 206.23, "word": " reflection", "probability": 0.9150390625}, {"start": 206.23, "end": 206.23, "word": " of", "probability": 0.9599609375}, {"start": 206.23, "end": 206.23, "word": " reflection", "probability": 0.9169921875}, {"start": 206.23, "end": 206.23, "word": " of", "probability": 0.95947265625}, {"start": 206.23, "end": 206.23, "word": " reflection", "probability": 0.916015625}, {"start": 206.23, "end": 206.23, "word": " of", "probability": 0.95849609375}, {"start": 206.23, "end": 206.23, "word": " reflection", "probability": 0.91748046875}, {"start": 206.23, "end": 206.23, "word": " of", "probability": 0.9580078125}, {"start": 206.23, "end": 206.23, "word": " reflection", "probability": 0.919921875}, {"start": 206.23, "end": 206.23, "word": " of", "probability": 0.95654296875}, {"start": 206.23, "end": 206.23, "word": " reflection", "probability": 0.9189453125}, {"start": 206.23, "end": 206.23, "word": " of", "probability": 0.95556640625}, {"start": 206.23, "end": 206.23, "word": " reflection", "probability": 0.9208984375}, {"start": 206.23, "end": 206.23, "word": " of", "probability": 0.955078125}, {"start": 206.23, "end": 206.23, "word": " reflection", "probability": 0.9208984375}, {"start": 206.23, "end": 206.23, "word": " of", "probability": 0.9541015625}, {"start": 206.23, "end": 206.23, "word": " reflection", "probability": 0.9208984375}, {"start": 206.23, "end": 207.29, "word": " of", "probability": 0.95166015625}, {"start": 207.29, "end": 207.29, "word": " reflection", "probability": 0.9208984375}, {"start": 207.29, "end": 207.29, "word": " of", "probability": 0.9521484375}, {"start": 207.29, "end": 207.29, "word": " reflection", "probability": 0.92138671875}, {"start": 207.29, "end": 207.29, "word": " of", "probability": 0.95068359375}, {"start": 207.29, "end": 207.29, "word": " reflection", "probability": 0.921875}, {"start": 207.29, "end": 207.29, "word": " of", "probability": 0.94970703125}, {"start": 207.29, "end": 207.29, "word": " reflection", "probability": 0.92236328125}, {"start": 207.29, "end": 207.29, "word": " of", "probability": 0.94775390625}, {"start": 207.29, "end": 207.29, "word": " reflection", "probability": 0.921875}, {"start": 207.29, "end": 207.99, "word": " of", "probability": 0.94677734375}, {"start": 207.99, "end": 207.99, "word": " reflection", "probability": 0.92138671875}, {"start": 207.99, "end": 207.99, "word": " of", "probability": 0.94482421875}, {"start": 207.99, "end": 207.99, "word": " reflection", "probability": 0.9208984375}, {"start": 207.99, "end": 208.67, "word": " of", "probability": 0.94287109375}, {"start": 208.67, "end": 208.97, "word": " reflection", "probability": 0.92236328125}, {"start": 208.97, "end": 209.99, "word": " of", "probability": 0.94189453125}, {"start": 209.99, "end": 213.25, "word": " reflection", "probability": 0.91650390625}, {"start": 213.25, "end": 214.25, "word": " of", "probability": 0.94921875}, {"start": 214.25, "end": 214.77, "word": " reflection", "probability": 0.91748046875}], "temperature": 1.0}, {"id": 10, "seek": 22974, "start": 215.8, "end": 229.74, "text": "I can't say θr for shortening, why? Because I have a unified symbol for both things, they are two different things, the reflection is one thing and the shortening is another thing, so we must look for another noun", "tokens": [40, 393, 380, 584, 12622, 81, 337, 2099, 4559, 11, 983, 30, 1436, 286, 362, 257, 26787, 5986, 337, 1293, 721, 11, 436, 366, 732, 819, 721, 11, 264, 12914, 307, 472, 551, 293, 264, 2099, 4559, 307, 1071, 551, 11, 370, 321, 1633, 574, 337, 1071, 23307], "avg_logprob": -0.4904336929321289, "compression_ratio": 1.4657534246575343, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 215.8, "end": 216.02, "word": "I", "probability": 0.91650390625}, {"start": 216.02, "end": 216.34, "word": " can't", "probability": 0.818359375}, {"start": 216.34, "end": 216.82, "word": " say", "probability": 0.275390625}, {"start": 216.82, "end": 217.56, "word": " θr", "probability": 0.4974365234375}, {"start": 217.56, "end": 217.76, "word": " for", "probability": 0.5947265625}, {"start": 217.76, "end": 218.64, "word": " shortening,", "probability": 0.228271484375}, {"start": 218.74, "end": 219.4, "word": " why?", "probability": 0.77783203125}, {"start": 219.62, "end": 220.22, "word": " Because", "probability": 0.78759765625}, {"start": 220.22, "end": 220.56, "word": " I", "probability": 0.65283203125}, {"start": 220.56, "end": 221.16, "word": " have", "probability": 0.66357421875}, {"start": 221.16, "end": 221.44, "word": " a", "probability": 0.498779296875}, {"start": 221.44, "end": 222.14, "word": " unified", "probability": 0.1834716796875}, {"start": 222.14, "end": 222.14, "word": " symbol", "probability": 0.73095703125}, {"start": 222.14, "end": 222.42, "word": " for", "probability": 0.8271484375}, {"start": 222.42, "end": 222.82, "word": " both", "probability": 0.748046875}, {"start": 222.82, "end": 222.82, "word": " things,", "probability": 0.412841796875}, {"start": 222.96, "end": 222.98, "word": " they", "probability": 0.33935546875}, {"start": 222.98, "end": 223.12, "word": " are", "probability": 0.71337890625}, {"start": 223.12, "end": 223.44, "word": " two", "probability": 0.6005859375}, {"start": 223.44, "end": 223.78, "word": " different", "probability": 0.87939453125}, {"start": 223.78, "end": 224.08, "word": " things,", "probability": 0.8583984375}, {"start": 224.22, "end": 224.26, "word": " the", "probability": 0.327880859375}, {"start": 224.26, "end": 224.58, "word": " reflection", "probability": 0.35009765625}, {"start": 224.58, "end": 224.86, "word": " is", "probability": 0.86328125}, {"start": 224.86, "end": 225.2, "word": " one", "probability": 0.88671875}, {"start": 225.2, "end": 225.2, "word": " thing", "probability": 0.91845703125}, {"start": 225.2, "end": 225.96, "word": " and", "probability": 0.63720703125}, {"start": 225.96, "end": 226.08, "word": " the", "probability": 0.81689453125}, {"start": 226.08, "end": 226.6, "word": " shortening", "probability": 0.869384765625}, {"start": 226.6, "end": 226.74, "word": " is", "probability": 0.8759765625}, {"start": 226.74, "end": 227.04, "word": " another", "probability": 0.779296875}, {"start": 227.04, "end": 227.2, "word": " thing,", "probability": 0.72412109375}, {"start": 227.28, "end": 227.38, "word": " so", "probability": 0.8388671875}, {"start": 227.38, "end": 227.54, "word": " we", "probability": 0.744140625}, {"start": 227.54, "end": 227.74, "word": " must", "probability": 0.373046875}, {"start": 227.74, "end": 228.2, "word": " look", "probability": 0.74365234375}, {"start": 228.2, "end": 228.66, "word": " for", "probability": 0.94091796875}, {"start": 228.66, "end": 229.28, "word": " another", "probability": 0.783203125}, {"start": 229.28, "end": 229.74, "word": " noun", "probability": 0.379150390625}], "temperature": 1.0}, {"id": 11, "seek": 25974, "start": 230.54, "end": 259.74, "text": "So the scientists agreed that this ray passed from one center to another center, so it moved to another center, so they called it the passing ray Or transmitted ray And this angle is correct, I can call it angle of refraction, but it is better to call it angle of transmission So the transmission starts with the letter T, so I will call this theta T So I have theta I, and I have theta R, and I have theta T", "tokens": [6455, 264, 7708, 9166, 300, 341, 18592, 4678, 490, 472, 3056, 281, 1071, 3056, 11, 370, 309, 4259, 281, 1071, 3056, 11, 370, 436, 1219, 309, 264, 8437, 18592, 1610, 25355, 18592, 400, 341, 5802, 307, 3006, 11, 286, 393, 818, 309, 5802, 295, 1895, 26766, 11, 457, 309, 307, 1101, 281, 818, 309, 5802, 295, 11574, 407, 264, 11574, 3719, 365, 264, 5063, 314, 11, 370, 286, 486, 818, 341, 9725, 314, 407, 286, 362, 9725, 286, 11, 293, 286, 362, 9725, 497, 11, 293, 286, 362, 9725, 314], "avg_logprob": -0.43028845891847717, "compression_ratio": 1.9521531100478469, "no_speech_prob": 1.2278556823730469e-05, "words": [{"start": 230.54, "end": 231.0, "word": "So", "probability": 0.54736328125}, {"start": 231.0, "end": 231.32, "word": " the", "probability": 0.1988525390625}, {"start": 231.32, "end": 231.66, "word": " scientists", "probability": 0.45263671875}, {"start": 231.66, "end": 232.06, "word": " agreed", "probability": 0.568359375}, {"start": 232.06, "end": 232.36, "word": " that", "probability": 0.791015625}, {"start": 232.36, "end": 232.66, "word": " this", "probability": 0.7373046875}, {"start": 232.66, "end": 232.86, "word": " ray", "probability": 0.2919921875}, {"start": 232.86, "end": 233.32, "word": " passed", "probability": 0.165283203125}, {"start": 233.32, "end": 233.58, "word": " from", "probability": 0.7626953125}, {"start": 233.58, "end": 233.78, "word": " one", "probability": 0.421875}, {"start": 233.78, "end": 234.0, "word": " center", "probability": 0.43408203125}, {"start": 234.0, "end": 234.3, "word": " to", "probability": 0.94580078125}, {"start": 234.3, "end": 234.54, "word": " another", "probability": 0.8115234375}, {"start": 234.54, "end": 234.98, "word": " center,", "probability": 0.517578125}, {"start": 235.1, "end": 235.2, "word": " so", "probability": 0.23193359375}, {"start": 235.2, "end": 235.28, "word": " it", "probability": 0.6572265625}, {"start": 235.28, "end": 235.5, "word": " moved", "probability": 0.53564453125}, {"start": 235.5, "end": 235.7, "word": " to", "probability": 0.91064453125}, {"start": 235.7, "end": 236.1, "word": " another", "probability": 0.8759765625}, {"start": 236.1, "end": 236.1, "word": " center,", "probability": 0.86083984375}, {"start": 236.3, "end": 236.38, "word": " so", "probability": 0.62451171875}, {"start": 236.38, "end": 236.5, "word": " they", "probability": 0.47412109375}, {"start": 236.5, "end": 236.68, "word": " called", "probability": 0.52294921875}, {"start": 236.68, "end": 236.86, "word": " it", "probability": 0.83984375}, {"start": 236.86, "end": 237.44, "word": " the", "probability": 0.337890625}, {"start": 237.44, "end": 237.6, "word": " passing", "probability": 0.1761474609375}, {"start": 237.6, "end": 237.6, "word": " ray", "probability": 0.6767578125}, {"start": 237.6, "end": 238.64, "word": " Or", "probability": 0.4609375}, {"start": 238.64, "end": 239.42, "word": " transmitted", "probability": 0.486328125}, {"start": 239.42, "end": 239.9, "word": " ray", "probability": 0.935546875}, {"start": 239.9, "end": 240.34, "word": " And", "probability": 0.463134765625}, {"start": 240.34, "end": 240.66, "word": " this", "probability": 0.8310546875}, {"start": 240.66, "end": 241.14, "word": " angle", "probability": 0.71923828125}, {"start": 241.14, "end": 241.68, "word": " is", "probability": 0.253662109375}, {"start": 241.68, "end": 241.92, "word": " correct,", "probability": 0.66845703125}, {"start": 242.08, "end": 242.2, "word": " I", "probability": 0.87353515625}, {"start": 242.2, "end": 242.34, "word": " can", "probability": 0.71044921875}, {"start": 242.34, "end": 242.72, "word": " call", "probability": 0.81103515625}, {"start": 242.72, "end": 242.86, "word": " it", "probability": 0.9404296875}, {"start": 242.86, "end": 243.26, "word": " angle", "probability": 0.5205078125}, {"start": 243.26, "end": 243.68, "word": " of", "probability": 0.97265625}, {"start": 243.68, "end": 244.4, "word": " refraction,", "probability": 0.90478515625}, {"start": 244.76, "end": 245.14, "word": " but", "probability": 0.88720703125}, {"start": 245.14, "end": 245.52, "word": " it", "probability": 0.56591796875}, {"start": 245.52, "end": 245.54, "word": " is", "probability": 0.435302734375}, {"start": 245.54, "end": 245.84, "word": " better", "probability": 0.86376953125}, {"start": 245.84, "end": 246.08, "word": " to", "probability": 0.75048828125}, {"start": 246.08, "end": 246.42, "word": " call", "probability": 0.82470703125}, {"start": 246.42, "end": 246.56, "word": " it", "probability": 0.93701171875}, {"start": 246.56, "end": 247.12, "word": " angle", "probability": 0.6142578125}, {"start": 247.12, "end": 247.52, "word": " of", "probability": 0.96826171875}, {"start": 247.52, "end": 248.24, "word": " transmission", "probability": 0.8994140625}, {"start": 248.24, "end": 249.02, "word": " So", "probability": 0.5498046875}, {"start": 249.02, "end": 249.26, "word": " the", "probability": 0.368896484375}, {"start": 249.26, "end": 249.8, "word": " transmission", "probability": 0.90869140625}, {"start": 249.8, "end": 250.22, "word": " starts", "probability": 0.69775390625}, {"start": 250.22, "end": 250.38, "word": " with", "probability": 0.8759765625}, {"start": 250.38, "end": 250.46, "word": " the", "probability": 0.64013671875}, {"start": 250.46, "end": 250.64, "word": " letter", "probability": 0.89599609375}, {"start": 250.64, "end": 250.96, "word": " T,", "probability": 0.79638671875}, {"start": 251.06, "end": 251.12, "word": " so", "probability": 0.84521484375}, {"start": 251.12, "end": 251.24, "word": " I", "probability": 0.95556640625}, {"start": 251.24, "end": 251.3, "word": " will", "probability": 0.47509765625}, {"start": 251.3, "end": 251.54, "word": " call", "probability": 0.78173828125}, {"start": 251.54, "end": 251.86, "word": " this", "probability": 0.658203125}, {"start": 251.86, "end": 252.44, "word": " theta", "probability": 0.56640625}, {"start": 252.44, "end": 253.02, "word": " T", "probability": 0.822265625}, {"start": 253.02, "end": 253.72, "word": " So", "probability": 0.796875}, {"start": 253.72, "end": 253.94, "word": " I", "probability": 0.7958984375}, {"start": 253.94, "end": 254.14, "word": " have", "probability": 0.9140625}, {"start": 254.14, "end": 254.5, "word": " theta", "probability": 0.6923828125}, {"start": 254.5, "end": 254.96, "word": " I,", "probability": 0.912109375}, {"start": 255.88, "end": 256.0, "word": " and", "probability": 0.6865234375}, {"start": 256.0, "end": 256.14, "word": " I", "probability": 0.72265625}, {"start": 256.14, "end": 256.5, "word": " have", "probability": 0.9453125}, {"start": 256.5, "end": 257.02, "word": " theta", "probability": 0.892578125}, {"start": 257.02, "end": 257.56, "word": " R,", "probability": 0.970703125}, {"start": 258.02, "end": 258.2, "word": " and", "probability": 0.9365234375}, {"start": 258.2, "end": 258.32, "word": " I", "probability": 0.916015625}, {"start": 258.32, "end": 258.6, "word": " have", "probability": 0.9462890625}, {"start": 258.6, "end": 259.16, "word": " theta", "probability": 0.89111328125}, {"start": 259.16, "end": 259.74, "word": " T", "probability": 0.99462890625}], "temperature": 1.0}, {"id": 12, "seek": 28470, "start": 259.97, "end": 284.71, "text": "θt which is the angle of transmission which is the angle between the mark and the normal surface or the transmitted ray and the normal surface so I have θi which is the angle of incidence θr which is the angle of reflection and θt which is the angle of transmission", "tokens": [9440, 83, 597, 307, 264, 5802, 295, 11574, 597, 307, 264, 5802, 1296, 264, 1849, 74, 293, 264, 2710, 3753, 420, 264, 25355, 18592, 293, 264, 2710, 3753, 370, 286, 362, 12622, 72, 597, 307, 264, 5802, 295, 41726, 12622, 81, 597, 307, 264, 5802, 295, 12914, 293, 12622, 83, 597, 307, 264, 5802, 295, 11574], "avg_logprob": -0.44682018380416066, "compression_ratio": 2.1693548387096775, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 259.97, "end": 260.73, "word": "θt", "probability": 0.4722900390625}, {"start": 260.73, "end": 260.93, "word": " which", "probability": 0.271728515625}, {"start": 260.93, "end": 261.05, "word": " is", "probability": 0.92138671875}, {"start": 261.05, "end": 261.15, "word": " the", "probability": 0.315185546875}, {"start": 261.15, "end": 261.45, "word": " angle", "probability": 0.8427734375}, {"start": 261.45, "end": 261.79, "word": " of", "probability": 0.91650390625}, {"start": 261.79, "end": 262.47, "word": " transmission", "probability": 0.8134765625}, {"start": 262.47, "end": 264.07, "word": " which", "probability": 0.2418212890625}, {"start": 264.07, "end": 264.23, "word": " is", "probability": 0.91455078125}, {"start": 264.23, "end": 264.39, "word": " the", "probability": 0.826171875}, {"start": 264.39, "end": 264.63, "word": " angle", "probability": 0.328369140625}, {"start": 264.63, "end": 265.33, "word": " between", "probability": 0.5703125}, {"start": 265.33, "end": 265.65, "word": " the", "probability": 0.55224609375}, {"start": 265.65, "end": 267.03, "word": " mark", "probability": 0.246307373046875}, {"start": 267.03, "end": 267.15, "word": " and", "probability": 0.53125}, {"start": 267.15, "end": 267.31, "word": " the", "probability": 0.67138671875}, {"start": 267.31, "end": 268.33, "word": " normal", "probability": 0.174560546875}, {"start": 268.33, "end": 268.33, "word": " surface", "probability": 0.75341796875}, {"start": 268.33, "end": 268.77, "word": " or", "probability": 0.41796875}, {"start": 268.77, "end": 269.13, "word": " the", "probability": 0.43212890625}, {"start": 269.13, "end": 269.77, "word": " transmitted", "probability": 0.87060546875}, {"start": 269.77, "end": 270.17, "word": " ray", "probability": 0.923828125}, {"start": 270.17, "end": 270.67, "word": " and", "probability": 0.62548828125}, {"start": 270.67, "end": 270.73, "word": " the", "probability": 0.7724609375}, {"start": 270.73, "end": 271.55, "word": " normal", "probability": 0.71728515625}, {"start": 271.55, "end": 271.55, "word": " surface", "probability": 0.8544921875}, {"start": 271.55, "end": 272.13, "word": " so", "probability": 0.275390625}, {"start": 272.13, "end": 272.37, "word": " I", "probability": 0.66552734375}, {"start": 272.37, "end": 272.57, "word": " have", "probability": 0.87841796875}, {"start": 272.57, "end": 273.27, "word": " θi", "probability": 0.69287109375}, {"start": 273.27, "end": 273.45, "word": " which", "probability": 0.40478515625}, {"start": 273.45, "end": 273.45, "word": " is", "probability": 0.935546875}, {"start": 273.45, "end": 273.49, "word": " the", "probability": 0.6455078125}, {"start": 273.49, "end": 273.79, "word": " angle", "probability": 0.89111328125}, {"start": 273.79, "end": 273.99, "word": " of", "probability": 0.9404296875}, {"start": 273.99, "end": 274.55, "word": " incidence", "probability": 0.986328125}, {"start": 274.55, "end": 277.07, "word": " θr", "probability": 0.81005859375}, {"start": 277.07, "end": 277.25, "word": " which", "probability": 0.75244140625}, {"start": 277.25, "end": 277.63, "word": " is", "probability": 0.95068359375}, {"start": 277.63, "end": 277.73, "word": " the", "probability": 0.86572265625}, {"start": 277.73, "end": 278.13, "word": " angle", "probability": 0.8955078125}, {"start": 278.13, "end": 278.43, "word": " of", "probability": 0.95849609375}, {"start": 278.43, "end": 279.43, "word": " reflection", "probability": 0.8818359375}, {"start": 279.43, "end": 281.71, "word": " and", "probability": 0.54296875}, {"start": 281.71, "end": 282.47, "word": " θt", "probability": 0.9794921875}, {"start": 282.47, "end": 282.99, "word": " which", "probability": 0.884765625}, {"start": 282.99, "end": 283.13, "word": " is", "probability": 0.947265625}, {"start": 283.13, "end": 283.37, "word": " the", "probability": 0.85888671875}, {"start": 283.37, "end": 283.67, "word": " angle", "probability": 0.89306640625}, {"start": 283.67, "end": 284.01, "word": " of", "probability": 0.96240234375}, {"start": 284.01, "end": 284.71, "word": " transmission", "probability": 0.83984375}], "temperature": 1.0}, {"id": 13, "seek": 31586, "start": 305.46, "end": 315.86, "text": "in specular transmission in specular transmission", "tokens": [259, 1608, 1040, 11574, 294, 1608, 1040, 11574], "avg_logprob": -0.5802951388888888, "compression_ratio": 1.3611111111111112, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 305.46000000000004, "end": 306.86, "word": "in", "probability": 0.07843017578125}, {"start": 306.86, "end": 308.26, "word": " specular", "probability": 0.7078857421875}, {"start": 308.26, "end": 308.96, "word": " transmission", "probability": 0.9306640625}, {"start": 308.96, "end": 314.64, "word": " in", "probability": 0.39404296875}, {"start": 314.64, "end": 315.18, "word": " specular", "probability": 0.926513671875}, {"start": 315.18, "end": 315.86, "word": " transmission", "probability": 0.92529296875}], "temperature": 1.0}, {"id": 14, "seek": 34639, "start": 316.79, "end": 346.39, "text": "the transmitted rays direction اتجاه لترانسميتد ري بيرز يحمل definite relation to the incident rays direction طب عشان نعرف ايش العلاقة بين اتجاه لترانسميتد ري و ال incident ray لازم نرسم ال service normal again a service normal is constructed بنبنى ال service normal او العمود المقام على السطر and the angle of incidence and the plane of incidence and transmission", "tokens": [3322, 25355, 24417, 3513, 1975, 2655, 7435, 40294, 5296, 2655, 2288, 7649, 38251, 36081, 3215, 12602, 1829, 4724, 13546, 11622, 7251, 35571, 1211, 25131, 9721, 281, 264, 9348, 24417, 3513, 23032, 3555, 6225, 8592, 7649, 8717, 3615, 28480, 1975, 1829, 8592, 18863, 15040, 28671, 49374, 1975, 2655, 7435, 40294, 5296, 2655, 2288, 7649, 38251, 36081, 3215, 12602, 1829, 4032, 2423, 9348, 18592, 5296, 31377, 2304, 8717, 2288, 38251, 2423, 2643, 2710, 797, 257, 2643, 2710, 307, 17083, 44945, 3555, 1863, 7578, 2423, 2643, 2710, 1975, 2407, 18863, 2304, 23328, 9673, 4587, 10943, 15844, 21136, 9566, 2288, 293, 264, 5802, 295, 41726, 293, 264, 5720, 295, 41726, 293, 11574], "avg_logprob": -0.2198967917249837, "compression_ratio": 1.884, "no_speech_prob": 2.2649765014648438e-06, "words": [{"start": 316.79, "end": 317.03, "word": "the", "probability": 0.35009765625}, {"start": 317.03, "end": 317.69, "word": " transmitted", "probability": 0.916015625}, {"start": 317.69, "end": 318.19, "word": " rays", "probability": 0.486328125}, {"start": 318.19, "end": 319.17, "word": " direction", "probability": 0.921875}, {"start": 319.17, "end": 319.69, "word": " اتجاه", "probability": 0.76397705078125}, {"start": 319.69, "end": 320.51, "word": " لترانسميتد", "probability": 0.49741908482142855}, {"start": 320.51, "end": 321.01, "word": " ري", "probability": 0.751953125}, {"start": 321.01, "end": 322.13, "word": " بيرز", "probability": 0.6330362955729166}, {"start": 322.13, "end": 322.61, "word": " يحمل", "probability": 0.9645182291666666}, {"start": 322.61, "end": 323.05, "word": " definite", "probability": 0.91796875}, {"start": 323.05, "end": 323.77, "word": " relation", "probability": 0.98876953125}, {"start": 323.77, "end": 323.97, "word": " to", "probability": 0.9365234375}, {"start": 323.97, "end": 324.15, "word": " the", "probability": 0.8154296875}, {"start": 324.15, "end": 324.57, "word": " incident", "probability": 0.87451171875}, {"start": 324.57, "end": 325.11, "word": " rays", "probability": 0.62939453125}, {"start": 325.11, "end": 325.85, "word": " direction", "probability": 0.96044921875}, {"start": 325.85, "end": 327.17, "word": " طب", "probability": 0.714599609375}, {"start": 327.17, "end": 327.47, "word": " عشان", "probability": 0.9851888020833334}, {"start": 327.47, "end": 327.77, "word": " نعرف", "probability": 0.91650390625}, {"start": 327.77, "end": 327.91, "word": " ايش", "probability": 0.7166341145833334}, {"start": 327.91, "end": 328.39, "word": " العلاقة", "probability": 0.89404296875}, {"start": 328.39, "end": 328.63, "word": " بين", "probability": 0.90087890625}, {"start": 328.63, "end": 329.11, "word": " اتجاه", "probability": 0.9884033203125}, {"start": 329.11, "end": 329.99, "word": " لترانسميتد", "probability": 0.9221540178571429}, {"start": 329.99, "end": 330.31, "word": " ري", "probability": 0.978271484375}, {"start": 330.31, "end": 330.95, "word": " و", "probability": 0.857421875}, {"start": 330.95, "end": 331.09, "word": " ال", "probability": 0.3330078125}, {"start": 331.09, "end": 331.53, "word": " incident", "probability": 0.794921875}, {"start": 331.53, "end": 332.01, "word": " ray", "probability": 0.83984375}, {"start": 332.01, "end": 332.47, "word": " لازم", "probability": 0.98876953125}, {"start": 332.47, "end": 332.93, "word": " نرسم", "probability": 0.9607747395833334}, {"start": 332.93, "end": 333.13, "word": " ال", "probability": 0.802734375}, {"start": 333.13, "end": 333.47, "word": " service", "probability": 0.86669921875}, {"start": 333.47, "end": 334.05, "word": " normal", "probability": 0.8505859375}, {"start": 334.05, "end": 334.53, "word": " again", "probability": 0.82177734375}, {"start": 334.53, "end": 335.45, "word": " a", "probability": 0.7861328125}, {"start": 335.45, "end": 335.83, "word": " service", "probability": 0.86962890625}, {"start": 335.83, "end": 336.29, "word": " normal", "probability": 0.8974609375}, {"start": 336.29, "end": 336.57, "word": " is", "probability": 0.966796875}, {"start": 336.57, "end": 337.25, "word": " constructed", "probability": 0.93994140625}, {"start": 337.25, "end": 337.73, "word": " بنبنى", "probability": 0.82537841796875}, {"start": 337.73, "end": 337.87, "word": " ال", "probability": 0.72998046875}, {"start": 337.87, "end": 338.11, "word": " service", "probability": 0.94189453125}, {"start": 338.11, "end": 338.59, "word": " normal", "probability": 0.8740234375}, {"start": 338.59, "end": 338.81, "word": " او", "probability": 0.917724609375}, {"start": 338.81, "end": 339.41, "word": " العمود", "probability": 0.9508463541666666}, {"start": 339.41, "end": 340.43, "word": " المقام", "probability": 0.9254557291666666}, {"start": 340.43, "end": 340.63, "word": " على", "probability": 0.70458984375}, {"start": 340.63, "end": 341.13, "word": " السطر", "probability": 0.9025065104166666}, {"start": 341.13, "end": 341.69, "word": " and", "probability": 0.9033203125}, {"start": 341.69, "end": 341.87, "word": " the", "probability": 0.9013671875}, {"start": 341.87, "end": 342.25, "word": " angle", "probability": 0.87744140625}, {"start": 342.25, "end": 342.53, "word": " of", "probability": 0.97998046875}, {"start": 342.53, "end": 343.21, "word": " incidence", "probability": 0.97216796875}, {"start": 343.21, "end": 343.95, "word": " and", "probability": 0.958984375}, {"start": 343.95, "end": 344.13, "word": " the", "probability": 0.8134765625}, {"start": 344.13, "end": 344.47, "word": " plane", "probability": 0.84033203125}, {"start": 344.47, "end": 344.73, "word": " of", "probability": 0.97216796875}, {"start": 344.73, "end": 345.35, "word": " incidence", "probability": 0.974609375}, {"start": 345.35, "end": 345.71, "word": " and", "probability": 0.96484375}, {"start": 345.71, "end": 346.39, "word": " transmission", "probability": 0.57568359375}], "temperature": 1.0}, {"id": 15, "seek": 36999, "start": 347.47, "end": 369.99, "text": "as defined just as we are for reflection as we are in reflection in the last lecture we said this is the incident tree and we drew a service normal and we said this is a plane of incidence and reflection now I want to draw the service normal", "tokens": [296, 7642, 445, 382, 321, 366, 337, 12914, 382, 321, 366, 294, 12914, 294, 264, 1036, 7991, 321, 848, 341, 307, 264, 9348, 4230, 293, 321, 12804, 257, 2643, 2710, 293, 321, 848, 341, 307, 257, 5720, 295, 41726, 293, 12914, 586, 286, 528, 281, 2642, 264, 2643, 2710], "avg_logprob": -0.40937499463558197, "compression_ratio": 1.8396946564885497, "no_speech_prob": 1.7285346984863281e-06, "words": [{"start": 347.46999999999997, "end": 348.13, "word": "as", "probability": 0.64453125}, {"start": 348.13, "end": 348.55, "word": " defined", "probability": 0.80859375}, {"start": 348.55, "end": 349.05, "word": " just", "probability": 0.8330078125}, {"start": 349.05, "end": 349.89, "word": " as", "probability": 0.82275390625}, {"start": 349.89, "end": 350.11, "word": " we", "probability": 0.34130859375}, {"start": 350.11, "end": 350.25, "word": " are", "probability": 0.55615234375}, {"start": 350.25, "end": 350.47, "word": " for", "probability": 0.74072265625}, {"start": 350.47, "end": 351.01, "word": " reflection", "probability": 0.873046875}, {"start": 351.01, "end": 351.59, "word": " as", "probability": 0.2335205078125}, {"start": 351.59, "end": 351.81, "word": " we", "probability": 0.8515625}, {"start": 351.81, "end": 351.97, "word": " are", "probability": 0.619140625}, {"start": 351.97, "end": 352.11, "word": " in", "probability": 0.65673828125}, {"start": 352.11, "end": 352.77, "word": " reflection", "probability": 0.75341796875}, {"start": 352.77, "end": 354.77, "word": " in", "probability": 0.432861328125}, {"start": 354.77, "end": 354.85, "word": " the", "probability": 0.654296875}, {"start": 354.85, "end": 355.63, "word": " last", "probability": 0.4619140625}, {"start": 355.63, "end": 355.73, "word": " lecture", "probability": 0.78271484375}, {"start": 355.73, "end": 356.43, "word": " we", "probability": 0.61083984375}, {"start": 356.43, "end": 356.73, "word": " said", "probability": 0.8125}, {"start": 356.73, "end": 357.93, "word": " this", "probability": 0.56494140625}, {"start": 357.93, "end": 358.03, "word": " is", "probability": 0.783203125}, {"start": 358.03, "end": 358.09, "word": " the", "probability": 0.486328125}, {"start": 358.09, "end": 358.51, "word": " incident", "probability": 0.56005859375}, {"start": 358.51, "end": 358.93, "word": " tree", "probability": 0.27294921875}, {"start": 358.93, "end": 359.25, "word": " and", "probability": 0.728515625}, {"start": 359.25, "end": 359.55, "word": " we", "probability": 0.68896484375}, {"start": 359.55, "end": 359.55, "word": " drew", "probability": 0.7890625}, {"start": 359.55, "end": 359.75, "word": " a", "probability": 0.61572265625}, {"start": 359.75, "end": 360.07, "word": " service", "probability": 0.6083984375}, {"start": 360.07, "end": 360.59, "word": " normal", "probability": 0.865234375}, {"start": 360.59, "end": 360.99, "word": " and", "probability": 0.7666015625}, {"start": 360.99, "end": 361.05, "word": " we", "probability": 0.78369140625}, {"start": 361.05, "end": 361.21, "word": " said", "probability": 0.8828125}, {"start": 361.21, "end": 361.49, "word": " this", "probability": 0.5732421875}, {"start": 361.49, "end": 361.55, "word": " is", "probability": 0.9033203125}, {"start": 361.55, "end": 361.63, "word": " a", "probability": 0.44091796875}, {"start": 361.63, "end": 362.09, "word": " plane", "probability": 0.82177734375}, {"start": 362.09, "end": 362.59, "word": " of", "probability": 0.6259765625}, {"start": 362.59, "end": 365.55, "word": " incidence", "probability": 0.303466796875}, {"start": 365.55, "end": 366.23, "word": " and", "probability": 0.9169921875}, {"start": 366.23, "end": 366.89, "word": " reflection", "probability": 0.89208984375}, {"start": 366.89, "end": 367.97, "word": " now", "probability": 0.57373046875}, {"start": 367.97, "end": 368.31, "word": " I", "probability": 0.7451171875}, {"start": 368.31, "end": 368.49, "word": " want", "probability": 0.72021484375}, {"start": 368.49, "end": 368.67, "word": " to", "probability": 0.96923828125}, {"start": 368.67, "end": 368.91, "word": " draw", "probability": 0.9208984375}, {"start": 368.91, "end": 369.15, "word": " the", "probability": 0.68994140625}, {"start": 369.15, "end": 369.53, "word": " service", "probability": 0.8330078125}, {"start": 369.53, "end": 369.99, "word": " normal", "probability": 0.87939453125}], "temperature": 1.0}, {"id": 16, "seek": 39420, "start": 371.48, "end": 394.2, "text": "في حالة لـ transmission و اقول هذا ال service normal .. هذا ال service normal و هذا ال incident ray الشعاع الساقط بيضمهم مستوى فراغي .. هذا المستوى الفراغي هسميه a plane of incidence and transmission .. a plane of incidence and transmission طيب .. اذا الشعاع الساقط ..", "tokens": [41185, 11331, 6027, 3660, 5296, 39184, 11574, 4032, 1975, 39648, 23758, 2423, 2643, 2710, 4386, 23758, 2423, 2643, 2710, 4032, 23758, 2423, 9348, 18592, 25124, 3615, 45761, 21136, 995, 4587, 9566, 4724, 1829, 11242, 2304, 16095, 3714, 14851, 2407, 7578, 6156, 2288, 5718, 118, 1829, 4386, 23758, 9673, 14851, 2407, 7578, 27188, 2288, 5718, 118, 1829, 8032, 38251, 1829, 3224, 257, 5720, 295, 41726, 293, 11574, 4386, 257, 5720, 295, 41726, 293, 11574, 23032, 1829, 3555, 4386, 1975, 15730, 25124, 3615, 45761, 21136, 995, 47432, 4386], "avg_logprob": -0.23724856219072452, "compression_ratio": 1.9623655913978495, "no_speech_prob": 6.4373016357421875e-06, "words": [{"start": 371.48, "end": 371.66, "word": "في", "probability": 0.1431884765625}, {"start": 371.66, "end": 372.02, "word": " حالة", "probability": 0.9930013020833334}, {"start": 372.02, "end": 372.18, "word": " لـ", "probability": 0.3427734375}, {"start": 372.18, "end": 372.6, "word": " transmission", "probability": 0.7021484375}, {"start": 372.6, "end": 372.88, "word": " و", "probability": 0.359375}, {"start": 372.88, "end": 373.18, "word": " اقول", "probability": 0.7130126953125}, {"start": 373.18, "end": 373.86, "word": " هذا", "probability": 0.58447265625}, {"start": 373.86, "end": 374.04, "word": " ال", "probability": 0.9033203125}, {"start": 374.04, "end": 374.34, "word": " service", "probability": 0.888671875}, {"start": 374.34, "end": 374.86, "word": " normal", "probability": 0.78125}, {"start": 374.86, "end": 375.1, "word": " ..", "probability": 0.50439453125}, {"start": 375.1, "end": 375.38, "word": " هذا", "probability": 0.82958984375}, {"start": 375.38, "end": 375.54, "word": " ال", "probability": 0.9921875}, {"start": 375.54, "end": 375.82, "word": " service", "probability": 0.9560546875}, {"start": 375.82, "end": 376.4, "word": " normal", "probability": 0.88232421875}, {"start": 376.4, "end": 376.88, "word": " و", "probability": 0.474853515625}, {"start": 376.88, "end": 377.1, "word": " هذا", "probability": 0.861328125}, {"start": 377.1, "end": 377.26, "word": " ال", "probability": 0.9755859375}, {"start": 377.26, "end": 377.7, "word": " incident", "probability": 0.85302734375}, {"start": 377.7, "end": 378.06, "word": " ray", "probability": 0.493896484375}, {"start": 378.06, "end": 378.44, "word": " الشعاع", "probability": 0.88818359375}, {"start": 378.44, "end": 379.02, "word": " الساقط", "probability": 0.7073974609375}, {"start": 379.02, "end": 380.02, "word": " بيضمهم", "probability": 0.9423828125}, {"start": 380.02, "end": 380.52, "word": " مستوى", "probability": 0.978271484375}, {"start": 380.52, "end": 380.94, "word": " فراغي", "probability": 0.9380859375}, {"start": 380.94, "end": 381.02, "word": " ..", "probability": 0.4677734375}, {"start": 381.02, "end": 381.18, "word": " هذا", "probability": 0.91455078125}, {"start": 381.18, "end": 381.7, "word": " المستوى", "probability": 0.961181640625}, {"start": 381.7, "end": 382.36, "word": " الفراغي", "probability": 0.9400390625}, {"start": 382.36, "end": 383.7, "word": " هسميه", "probability": 0.9114990234375}, {"start": 383.7, "end": 383.96, "word": " a", "probability": 0.2396240234375}, {"start": 383.96, "end": 384.4, "word": " plane", "probability": 0.88427734375}, {"start": 384.4, "end": 384.74, "word": " of", "probability": 0.984375}, {"start": 384.74, "end": 385.5, "word": " incidence", "probability": 0.87255859375}, {"start": 385.5, "end": 385.94, "word": " and", "probability": 0.97412109375}, {"start": 385.94, "end": 386.62, "word": " transmission", "probability": 0.8701171875}, {"start": 386.62, "end": 387.32, "word": " ..", "probability": 0.845703125}, {"start": 387.32, "end": 387.48, "word": " a", "probability": 0.92431640625}, {"start": 387.48, "end": 387.88, "word": " plane", "probability": 0.88134765625}, {"start": 387.88, "end": 388.22, "word": " of", "probability": 0.97900390625}, {"start": 388.22, "end": 388.76, "word": " incidence", "probability": 0.97265625}, {"start": 388.76, "end": 389.3, "word": " and", "probability": 0.966796875}, {"start": 389.3, "end": 390.0, "word": " transmission", "probability": 0.9267578125}, {"start": 390.0, "end": 390.8, "word": " طيب", "probability": 0.8907877604166666}, {"start": 390.8, "end": 391.28, "word": " ..", "probability": 0.287109375}, {"start": 391.28, "end": 391.6, "word": " اذا", "probability": 0.828125}, {"start": 391.6, "end": 392.84, "word": " الشعاع", "probability": 0.98046875}, {"start": 392.84, "end": 393.92, "word": " الساقط", "probability": 0.8377278645833334}, {"start": 393.92, "end": 394.2, "word": " ..", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 17, "seek": 40996, "start": 394.7, "end": 409.96, "text": "And the column that stands on the flat surface, these two lines, this imaginary line and this falling beam, both fall at a spatial level, this spatial level this time I will call plane of incidence and transmission", "tokens": [5289, 264, 7738, 300, 7382, 322, 264, 4962, 3753, 11, 613, 732, 3876, 11, 341, 26164, 1622, 293, 341, 7440, 14269, 11, 1293, 2100, 412, 257, 23598, 1496, 11, 341, 23598, 1496, 341, 565, 286, 486, 818, 5720, 295, 41726, 293, 11574], "avg_logprob": -0.6348110409670098, "compression_ratio": 1.562043795620438, "no_speech_prob": 1.1205673217773438e-05, "words": [{"start": 394.7, "end": 394.96, "word": "And", "probability": 0.236572265625}, {"start": 394.96, "end": 395.08, "word": " the", "probability": 0.63330078125}, {"start": 395.08, "end": 395.4, "word": " column", "probability": 0.53515625}, {"start": 395.4, "end": 395.54, "word": " that", "probability": 0.2198486328125}, {"start": 395.54, "end": 396.0, "word": " stands", "probability": 0.345947265625}, {"start": 396.0, "end": 396.3, "word": " on", "probability": 0.8154296875}, {"start": 396.3, "end": 396.54, "word": " the", "probability": 0.76220703125}, {"start": 396.54, "end": 396.68, "word": " flat", "probability": 0.05218505859375}, {"start": 396.68, "end": 397.4, "word": " surface,", "probability": 0.69091796875}, {"start": 398.0, "end": 398.68, "word": " these", "probability": 0.2303466796875}, {"start": 398.68, "end": 399.0, "word": " two", "probability": 0.69384765625}, {"start": 399.0, "end": 399.38, "word": " lines,", "probability": 0.8505859375}, {"start": 399.62, "end": 399.84, "word": " this", "probability": 0.462890625}, {"start": 399.84, "end": 400.7, "word": " imaginary", "probability": 0.91357421875}, {"start": 400.7, "end": 400.7, "word": " line", "probability": 0.90185546875}, {"start": 400.7, "end": 401.02, "word": " and", "probability": 0.8466796875}, {"start": 401.02, "end": 401.24, "word": " this", "probability": 0.8193359375}, {"start": 401.24, "end": 402.14, "word": " falling", "probability": 0.2010498046875}, {"start": 402.14, "end": 402.14, "word": " beam,", "probability": 0.12939453125}, {"start": 402.3, "end": 402.72, "word": " both", "probability": 0.60693359375}, {"start": 402.72, "end": 403.22, "word": " fall", "probability": 0.39697265625}, {"start": 403.22, "end": 403.54, "word": " at", "probability": 0.421630859375}, {"start": 403.54, "end": 403.58, "word": " a", "probability": 0.501953125}, {"start": 403.58, "end": 404.22, "word": " spatial", "probability": 0.260986328125}, {"start": 404.22, "end": 404.44, "word": " level,", "probability": 0.84033203125}, {"start": 404.96, "end": 405.24, "word": " this", "probability": 0.35595703125}, {"start": 405.24, "end": 405.26, "word": " spatial", "probability": 0.8544921875}, {"start": 405.26, "end": 406.06, "word": " level", "probability": 0.93017578125}, {"start": 406.06, "end": 406.32, "word": " this", "probability": 0.454345703125}, {"start": 406.32, "end": 406.62, "word": " time", "probability": 0.884765625}, {"start": 406.62, "end": 406.86, "word": " I", "probability": 0.85107421875}, {"start": 406.86, "end": 407.06, "word": " will", "probability": 0.64013671875}, {"start": 407.06, "end": 407.3, "word": " call", "probability": 0.7685546875}, {"start": 407.3, "end": 407.94, "word": " plane", "probability": 0.5498046875}, {"start": 407.94, "end": 408.24, "word": " of", "probability": 0.95849609375}, {"start": 408.24, "end": 408.92, "word": " incidence", "probability": 0.9765625}, {"start": 408.92, "end": 409.32, "word": " and", "probability": 0.94482421875}, {"start": 409.32, "end": 409.96, "word": " transmission", "probability": 0.9130859375}], "temperature": 1.0}, {"id": 18, "seek": 44013, "start": 410.65, "end": 440.13, "text": "Why did I call it plane of incidence and transmission? I did not call it plane of incidence only because we will discover later that the transmitted ray also occurs at the same spatial level also occurs at the same spatial level so therefore these three include the incident ray and the service normal and the transmitted ray includes them at one spatial level now", "tokens": [8429, 630, 286, 818, 309, 5720, 295, 41726, 293, 11574, 30, 286, 630, 406, 818, 309, 5720, 295, 41726, 787, 570, 321, 486, 4411, 1780, 300, 264, 25355, 18592, 611, 11843, 412, 264, 912, 23598, 1496, 611, 11843, 412, 264, 912, 23598, 1496, 370, 4412, 613, 1045, 4090, 264, 9348, 18592, 293, 264, 2643, 2710, 293, 264, 25355, 18592, 5974, 552, 412, 472, 23598, 1496, 586], "avg_logprob": -0.4752798525255118, "compression_ratio": 2.08, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 410.65, "end": 411.05, "word": "Why", "probability": 0.1707763671875}, {"start": 411.05, "end": 411.17, "word": " did", "probability": 0.36181640625}, {"start": 411.17, "end": 411.17, "word": " I", "probability": 0.79443359375}, {"start": 411.17, "end": 411.41, "word": " call", "probability": 0.363525390625}, {"start": 411.41, "end": 411.59, "word": " it", "probability": 0.79443359375}, {"start": 411.59, "end": 411.89, "word": " plane", "probability": 0.4599609375}, {"start": 411.89, "end": 412.15, "word": " of", "probability": 0.9453125}, {"start": 412.15, "end": 412.61, "word": " incidence", "probability": 0.93896484375}, {"start": 412.61, "end": 413.01, "word": " and", "probability": 0.90380859375}, {"start": 413.01, "end": 413.61, "word": " transmission?", "probability": 0.8671875}, {"start": 414.09, "end": 414.47, "word": " I", "probability": 0.51513671875}, {"start": 414.47, "end": 414.59, "word": " did", "probability": 0.473388671875}, {"start": 414.59, "end": 414.59, "word": " not", "probability": 0.93408203125}, {"start": 414.59, "end": 414.83, "word": " call", "probability": 0.62060546875}, {"start": 414.83, "end": 415.11, "word": " it", "probability": 0.896484375}, {"start": 415.11, "end": 415.49, "word": " plane", "probability": 0.40478515625}, {"start": 415.49, "end": 415.75, "word": " of", "probability": 0.96240234375}, {"start": 415.75, "end": 416.43, "word": " incidence", "probability": 0.96923828125}, {"start": 416.43, "end": 416.97, "word": " only", "probability": 0.794921875}, {"start": 416.97, "end": 417.61, "word": " because", "probability": 0.360595703125}, {"start": 417.61, "end": 417.89, "word": " we", "probability": 0.69580078125}, {"start": 417.89, "end": 417.95, "word": " will", "probability": 0.77978515625}, {"start": 417.95, "end": 418.37, "word": " discover", "probability": 0.7353515625}, {"start": 418.37, "end": 418.77, "word": " later", "probability": 0.56591796875}, {"start": 418.77, "end": 419.07, "word": " that", "probability": 0.8408203125}, {"start": 419.07, "end": 419.31, "word": " the", "probability": 0.437744140625}, {"start": 419.31, "end": 419.93, "word": " transmitted", "probability": 0.94873046875}, {"start": 419.93, "end": 420.25, "word": " ray", "probability": 0.79931640625}, {"start": 420.25, "end": 420.99, "word": " also", "probability": 0.7255859375}, {"start": 420.99, "end": 421.41, "word": " occurs", "probability": 0.237060546875}, {"start": 421.41, "end": 421.63, "word": " at", "probability": 0.61865234375}, {"start": 421.63, "end": 422.09, "word": " the", "probability": 0.92333984375}, {"start": 422.09, "end": 422.09, "word": " same", "probability": 0.8427734375}, {"start": 422.09, "end": 423.31, "word": " spatial", "probability": 0.43359375}, {"start": 423.31, "end": 423.37, "word": " level", "probability": 0.88134765625}, {"start": 423.37, "end": 423.97, "word": " also", "probability": 0.1600341796875}, {"start": 423.97, "end": 424.51, "word": " occurs", "probability": 0.80126953125}, {"start": 424.51, "end": 424.77, "word": " at", "probability": 0.8681640625}, {"start": 424.77, "end": 425.27, "word": " the", "probability": 0.90380859375}, {"start": 425.27, "end": 425.27, "word": " same", "probability": 0.89501953125}, {"start": 425.27, "end": 427.07, "word": " spatial", "probability": 0.91748046875}, {"start": 427.07, "end": 427.09, "word": " level", "probability": 0.9326171875}, {"start": 427.09, "end": 427.31, "word": " so", "probability": 0.2646484375}, {"start": 427.31, "end": 427.87, "word": " therefore", "probability": 0.280029296875}, {"start": 427.87, "end": 430.21, "word": " these", "probability": 0.472412109375}, {"start": 430.21, "end": 430.95, "word": " three", "probability": 0.8671875}, {"start": 430.95, "end": 430.95, "word": " include", "probability": 0.41455078125}, {"start": 430.95, "end": 431.29, "word": " the", "probability": 0.405029296875}, {"start": 431.29, "end": 431.75, "word": " incident", "probability": 0.87744140625}, {"start": 431.75, "end": 432.21, "word": " ray", "probability": 0.91943359375}, {"start": 432.21, "end": 432.77, "word": " and", "probability": 0.64501953125}, {"start": 432.77, "end": 432.85, "word": " the", "probability": 0.477783203125}, {"start": 432.85, "end": 433.23, "word": " service", "probability": 0.78515625}, {"start": 433.23, "end": 433.69, "word": " normal", "probability": 0.8544921875}, {"start": 433.69, "end": 434.21, "word": " and", "probability": 0.83544921875}, {"start": 434.21, "end": 434.29, "word": " the", "probability": 0.68798828125}, {"start": 434.29, "end": 434.83, "word": " transmitted", "probability": 0.95703125}, {"start": 434.83, "end": 435.25, "word": " ray", "probability": 0.90185546875}, {"start": 435.25, "end": 435.63, "word": " includes", "probability": 0.2064208984375}, {"start": 435.63, "end": 436.23, "word": " them", "probability": 0.55419921875}, {"start": 436.23, "end": 437.43, "word": " at", "probability": 0.389892578125}, {"start": 437.43, "end": 437.89, "word": " one", "probability": 0.3603515625}, {"start": 437.89, "end": 438.25, "word": " spatial", "probability": 0.9501953125}, {"start": 438.25, "end": 438.61, "word": " level", "probability": 0.927734375}, {"start": 438.61, "end": 440.13, "word": " now", "probability": 0.48974609375}], "temperature": 1.0}, {"id": 19, "seek": 45413, "start": 440.55, "end": 454.13, "text": "This speech that we are talking about is the first part or the first half of the law of contraction which is Snell's law .. Snell's law The second part is the relationship between the angle of fall", "tokens": [5723, 6218, 300, 321, 366, 1417, 466, 307, 264, 700, 644, 420, 264, 700, 1922, 295, 264, 2101, 295, 37372, 597, 307, 318, 8903, 311, 2101, 4386, 318, 8903, 311, 2101, 440, 1150, 644, 307, 264, 2480, 1296, 264, 5802, 295, 2100], "avg_logprob": -0.4669331339902656, "compression_ratio": 1.5271317829457365, "no_speech_prob": 2.300739288330078e-05, "words": [{"start": 440.55, "end": 441.11, "word": "This", "probability": 0.464111328125}, {"start": 441.11, "end": 441.73, "word": " speech", "probability": 0.45654296875}, {"start": 441.73, "end": 441.89, "word": " that", "probability": 0.50732421875}, {"start": 441.89, "end": 442.11, "word": " we", "probability": 0.89794921875}, {"start": 442.11, "end": 442.25, "word": " are", "probability": 0.52783203125}, {"start": 442.25, "end": 442.45, "word": " talking", "probability": 0.332275390625}, {"start": 442.45, "end": 442.57, "word": " about", "probability": 0.84130859375}, {"start": 442.57, "end": 442.71, "word": " is", "probability": 0.751953125}, {"start": 442.71, "end": 442.87, "word": " the", "probability": 0.85498046875}, {"start": 442.87, "end": 443.67, "word": " first", "probability": 0.88623046875}, {"start": 443.67, "end": 443.67, "word": " part", "probability": 0.83154296875}, {"start": 443.67, "end": 444.55, "word": " or", "probability": 0.6708984375}, {"start": 444.55, "end": 444.73, "word": " the", "probability": 0.52099609375}, {"start": 444.73, "end": 444.73, "word": " first", "probability": 0.87353515625}, {"start": 444.73, "end": 445.11, "word": " half", "probability": 0.7802734375}, {"start": 445.11, "end": 445.81, "word": " of", "probability": 0.9150390625}, {"start": 445.81, "end": 446.09, "word": " the", "probability": 0.74462890625}, {"start": 446.09, "end": 446.41, "word": " law", "probability": 0.1337890625}, {"start": 446.41, "end": 446.85, "word": " of", "probability": 0.9365234375}, {"start": 446.85, "end": 447.33, "word": " contraction", "probability": 0.07965087890625}, {"start": 447.33, "end": 448.15, "word": " which", "probability": 0.3896484375}, {"start": 448.15, "end": 448.41, "word": " is", "probability": 0.94580078125}, {"start": 448.41, "end": 449.05, "word": " Snell's", "probability": 0.8082682291666666}, {"start": 449.05, "end": 449.37, "word": " law", "probability": 0.69287109375}, {"start": 449.37, "end": 449.45, "word": " ..", "probability": 0.369873046875}, {"start": 449.45, "end": 450.07, "word": " Snell's", "probability": 0.857421875}, {"start": 450.07, "end": 450.27, "word": " law", "probability": 0.91162109375}, {"start": 450.27, "end": 450.93, "word": " The", "probability": 0.51513671875}, {"start": 450.93, "end": 450.99, "word": " second", "probability": 0.8515625}, {"start": 450.99, "end": 451.67, "word": " part", "probability": 0.90673828125}, {"start": 451.67, "end": 452.41, "word": " is", "probability": 0.78076171875}, {"start": 452.41, "end": 452.55, "word": " the", "probability": 0.642578125}, {"start": 452.55, "end": 452.95, "word": " relationship", "probability": 0.442138671875}, {"start": 452.95, "end": 453.31, "word": " between", "probability": 0.88037109375}, {"start": 453.31, "end": 453.49, "word": " the", "probability": 0.6962890625}, {"start": 453.49, "end": 453.61, "word": " angle", "probability": 0.65283203125}, {"start": 453.61, "end": 453.89, "word": " of", "probability": 0.96240234375}, {"start": 453.89, "end": 454.13, "word": " fall", "probability": 0.21533203125}], "temperature": 1.0}, {"id": 20, "seek": 48347, "start": 455.05, "end": 483.47, "text": "And the angle of deflection doesn't look like the relation between the angle of deflection and the angle of inversion The relation between the angle of deflection and the angle of inversion is simple that θI is equal to θR and that's it While as we can see, this θI is 54.4 degrees for example It's completely different from the angle of deflection Okay, if we change the angle of deflection, this 42", "tokens": [5289, 264, 5802, 295, 1060, 5450, 1177, 380, 574, 411, 264, 9721, 1296, 264, 5802, 295, 1060, 5450, 293, 264, 5802, 295, 43576, 440, 9721, 1296, 264, 5802, 295, 1060, 5450, 293, 264, 5802, 295, 43576, 307, 2199, 300, 12622, 40, 307, 2681, 281, 12622, 49, 293, 300, 311, 309, 3987, 382, 321, 393, 536, 11, 341, 12622, 40, 307, 20793, 13, 19, 5310, 337, 1365, 467, 311, 2584, 819, 490, 264, 5802, 295, 1060, 5450, 1033, 11, 498, 321, 1319, 264, 5802, 295, 1060, 5450, 11, 341, 14034], "avg_logprob": -0.44479165640142226, "compression_ratio": 2.0989583333333335, "no_speech_prob": 3.5762786865234375e-06, "words": [{"start": 455.05, "end": 455.39, "word": "And", "probability": 0.1988525390625}, {"start": 455.39, "end": 455.55, "word": " the", "probability": 0.55126953125}, {"start": 455.55, "end": 455.67, "word": " angle", "probability": 0.436767578125}, {"start": 455.67, "end": 455.95, "word": " of", "probability": 0.8955078125}, {"start": 455.95, "end": 456.39, "word": " deflection", "probability": 0.52020263671875}, {"start": 456.39, "end": 457.39, "word": " doesn't", "probability": 0.639404296875}, {"start": 457.39, "end": 457.67, "word": " look", "probability": 0.31298828125}, {"start": 457.67, "end": 457.81, "word": " like", "probability": 0.84619140625}, {"start": 457.81, "end": 457.97, "word": " the", "probability": 0.75244140625}, {"start": 457.97, "end": 458.35, "word": " relation", "probability": 0.413330078125}, {"start": 458.35, "end": 458.93, "word": " between", "probability": 0.85693359375}, {"start": 458.93, "end": 458.99, "word": " the", "probability": 0.4169921875}, {"start": 458.99, "end": 459.19, "word": " angle", "probability": 0.7880859375}, {"start": 459.19, "end": 459.31, "word": " of", "probability": 0.94970703125}, {"start": 459.31, "end": 459.73, "word": " deflection", "probability": 0.5220947265625}, {"start": 459.73, "end": 459.97, "word": " and", "probability": 0.9306640625}, {"start": 459.97, "end": 460.03, "word": " the", "probability": 0.666015625}, {"start": 460.03, "end": 460.19, "word": " angle", "probability": 0.8955078125}, {"start": 460.19, "end": 460.37, "word": " of", "probability": 0.97265625}, {"start": 460.37, "end": 460.75, "word": " inversion", "probability": 0.2197265625}, {"start": 460.75, "end": 461.49, "word": " The", "probability": 0.65966796875}, {"start": 461.49, "end": 461.89, "word": " relation", "probability": 0.900390625}, {"start": 461.89, "end": 462.15, "word": " between", "probability": 0.87451171875}, {"start": 462.15, "end": 462.23, "word": " the", "probability": 0.80419921875}, {"start": 462.23, "end": 462.39, "word": " angle", "probability": 0.861328125}, {"start": 462.39, "end": 462.51, "word": " of", "probability": 0.96875}, {"start": 462.51, "end": 462.83, "word": " deflection", "probability": 0.961669921875}, {"start": 462.83, "end": 463.11, "word": " and", "probability": 0.947265625}, {"start": 463.11, "end": 463.13, "word": " the", "probability": 0.83251953125}, {"start": 463.13, "end": 463.31, "word": " angle", "probability": 0.9091796875}, {"start": 463.31, "end": 463.41, "word": " of", "probability": 0.97412109375}, {"start": 463.41, "end": 463.79, "word": " inversion", "probability": 0.91748046875}, {"start": 463.79, "end": 464.03, "word": " is", "probability": 0.88134765625}, {"start": 464.03, "end": 464.39, "word": " simple", "probability": 0.41748046875}, {"start": 464.39, "end": 464.71, "word": " that", "probability": 0.1614990234375}, {"start": 464.71, "end": 465.37, "word": " θI", "probability": 0.76806640625}, {"start": 465.37, "end": 465.59, "word": " is", "probability": 0.039031982421875}, {"start": 465.59, "end": 465.79, "word": " equal", "probability": 0.86767578125}, {"start": 465.79, "end": 465.87, "word": " to", "probability": 0.97119140625}, {"start": 465.87, "end": 466.41, "word": " θR", "probability": 0.979736328125}, {"start": 466.41, "end": 466.63, "word": " and", "probability": 0.33544921875}, {"start": 466.63, "end": 467.07, "word": " that's", "probability": 0.54827880859375}, {"start": 467.07, "end": 467.13, "word": " it", "probability": 0.77099609375}, {"start": 467.13, "end": 468.07, "word": " While", "probability": 0.287353515625}, {"start": 468.07, "end": 468.45, "word": " as", "probability": 0.6767578125}, {"start": 468.45, "end": 468.79, "word": " we", "probability": 0.822265625}, {"start": 468.79, "end": 468.91, "word": " can", "probability": 0.308837890625}, {"start": 468.91, "end": 469.31, "word": " see,", "probability": 0.6279296875}, {"start": 469.49, "end": 469.63, "word": " this", "probability": 0.80615234375}, {"start": 469.63, "end": 470.35, "word": " θI", "probability": 0.97705078125}, {"start": 470.35, "end": 471.21, "word": " is", "probability": 0.70458984375}, {"start": 471.21, "end": 471.69, "word": " 54", "probability": 0.89208984375}, {"start": 471.69, "end": 472.45, "word": ".4", "probability": 0.895751953125}, {"start": 472.45, "end": 473.09, "word": " degrees", "probability": 0.5830078125}, {"start": 473.09, "end": 473.49, "word": " for", "probability": 0.51513671875}, {"start": 473.49, "end": 473.77, "word": " example", "probability": 0.89990234375}, {"start": 473.77, "end": 475.41, "word": " It's", "probability": 0.40966796875}, {"start": 475.41, "end": 475.69, "word": " completely", "probability": 0.30322265625}, {"start": 475.69, "end": 475.85, "word": " different", "probability": 0.87158203125}, {"start": 475.85, "end": 476.21, "word": " from", "probability": 0.5859375}, {"start": 476.21, "end": 476.89, "word": " the", "probability": 0.91650390625}, {"start": 476.89, "end": 477.11, "word": " angle", "probability": 0.8896484375}, {"start": 477.11, "end": 477.39, "word": " of", "probability": 0.9697265625}, {"start": 477.39, "end": 477.89, "word": " deflection", "probability": 0.939697265625}, {"start": 477.89, "end": 478.59, "word": " Okay,", "probability": 0.22314453125}, {"start": 479.19, "end": 479.41, "word": " if", "probability": 0.818359375}, {"start": 479.41, "end": 479.55, "word": " we", "probability": 0.9404296875}, {"start": 479.55, "end": 479.87, "word": " change", "probability": 0.7685546875}, {"start": 479.87, "end": 481.87, "word": " the", "probability": 0.78955078125}, {"start": 481.87, "end": 482.13, "word": " angle", "probability": 0.8837890625}, {"start": 482.13, "end": 482.33, "word": " of", "probability": 0.97021484375}, {"start": 482.33, "end": 482.81, "word": " deflection,", "probability": 0.94140625}, {"start": 483.01, "end": 483.15, "word": " this", "probability": 0.55419921875}, {"start": 483.15, "end": 483.47, "word": " 42", "probability": 0.9033203125}], "temperature": 1.0}, {"id": 21, "seek": 51103, "start": 485.19, "end": 511.03, "text": "it changes the angle of deflection when we increase it also changes the angle of deflection but they are not equal to each other so the angle of fall θI and the angle of deflection or passage θT are not equal to each other but there is a relation between them or there is a equation between them that when I hit", "tokens": [270, 2962, 264, 5802, 295, 1060, 5450, 562, 321, 3488, 309, 611, 2962, 264, 5802, 295, 1060, 5450, 457, 436, 366, 406, 2681, 281, 1184, 661, 370, 264, 5802, 295, 2100, 12622, 40, 293, 264, 5802, 295, 1060, 5450, 420, 11497, 12622, 51, 366, 406, 2681, 281, 1184, 661, 457, 456, 307, 257, 9721, 1296, 552, 420, 456, 307, 257, 5367, 1296, 552, 300, 562, 286, 2045], "avg_logprob": -0.4857536712113549, "compression_ratio": 2.1006711409395975, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 485.19, "end": 485.41, "word": "it", "probability": 0.31884765625}, {"start": 485.41, "end": 485.97, "word": " changes", "probability": 0.46240234375}, {"start": 485.97, "end": 486.41, "word": " the", "probability": 0.548828125}, {"start": 486.41, "end": 486.41, "word": " angle", "probability": 0.6982421875}, {"start": 486.41, "end": 486.77, "word": " of", "probability": 0.912109375}, {"start": 486.77, "end": 487.19, "word": " deflection", "probability": 0.48150634765625}, {"start": 487.19, "end": 488.03, "word": " when", "probability": 0.0654296875}, {"start": 488.03, "end": 488.13, "word": " we", "probability": 0.442138671875}, {"start": 488.13, "end": 488.39, "word": " increase", "probability": 0.27490234375}, {"start": 488.39, "end": 490.69, "word": " it", "probability": 0.62744140625}, {"start": 490.69, "end": 490.97, "word": " also", "probability": 0.2308349609375}, {"start": 490.97, "end": 491.55, "word": " changes", "probability": 0.425048828125}, {"start": 491.55, "end": 491.73, "word": " the", "probability": 0.849609375}, {"start": 491.73, "end": 491.95, "word": " angle", "probability": 0.87841796875}, {"start": 491.95, "end": 492.09, "word": " of", "probability": 0.94775390625}, {"start": 492.09, "end": 492.53, "word": " deflection", "probability": 0.9404296875}, {"start": 492.53, "end": 493.13, "word": " but", "probability": 0.4853515625}, {"start": 493.13, "end": 493.77, "word": " they", "probability": 0.630859375}, {"start": 493.77, "end": 494.11, "word": " are", "probability": 0.5576171875}, {"start": 494.11, "end": 494.21, "word": " not", "probability": 0.91796875}, {"start": 494.21, "end": 494.65, "word": " equal", "probability": 0.7734375}, {"start": 494.65, "end": 494.97, "word": " to", "probability": 0.75927734375}, {"start": 494.97, "end": 495.19, "word": " each", "probability": 0.92822265625}, {"start": 495.19, "end": 495.19, "word": " other", "probability": 0.87841796875}, {"start": 495.19, "end": 495.55, "word": " so", "probability": 0.63671875}, {"start": 495.55, "end": 495.75, "word": " the", "probability": 0.52197265625}, {"start": 495.75, "end": 495.97, "word": " angle", "probability": 0.826171875}, {"start": 495.97, "end": 496.15, "word": " of", "probability": 0.95361328125}, {"start": 496.15, "end": 496.49, "word": " fall", "probability": 0.1744384765625}, {"start": 496.49, "end": 497.23, "word": " θI", "probability": 0.531494140625}, {"start": 497.23, "end": 498.25, "word": " and", "probability": 0.8837890625}, {"start": 498.25, "end": 498.47, "word": " the", "probability": 0.7255859375}, {"start": 498.47, "end": 498.69, "word": " angle", "probability": 0.8154296875}, {"start": 498.69, "end": 498.91, "word": " of", "probability": 0.95703125}, {"start": 498.91, "end": 499.55, "word": " deflection", "probability": 0.814208984375}, {"start": 499.55, "end": 499.85, "word": " or", "probability": 0.7060546875}, {"start": 499.85, "end": 500.23, "word": " passage", "probability": 0.17333984375}, {"start": 500.23, "end": 500.97, "word": " θT", "probability": 0.960693359375}, {"start": 500.97, "end": 501.69, "word": " are", "probability": 0.720703125}, {"start": 501.69, "end": 501.85, "word": " not", "probability": 0.93310546875}, {"start": 501.85, "end": 502.29, "word": " equal", "probability": 0.904296875}, {"start": 502.29, "end": 502.55, "word": " to", "probability": 0.93359375}, {"start": 502.55, "end": 502.87, "word": " each", "probability": 0.9580078125}, {"start": 502.87, "end": 502.87, "word": " other", "probability": 0.89794921875}, {"start": 502.87, "end": 503.51, "word": " but", "probability": 0.82177734375}, {"start": 503.51, "end": 503.75, "word": " there", "probability": 0.662109375}, {"start": 503.75, "end": 503.81, "word": " is", "probability": 0.841796875}, {"start": 503.81, "end": 504.45, "word": " a", "probability": 0.81396484375}, {"start": 504.45, "end": 504.47, "word": " relation", "probability": 0.53759765625}, {"start": 504.47, "end": 505.05, "word": " between", "probability": 0.1961669921875}, {"start": 505.05, "end": 507.29, "word": " them", "probability": 0.75341796875}, {"start": 507.29, "end": 507.89, "word": " or", "probability": 0.4326171875}, {"start": 507.89, "end": 508.05, "word": " there", "probability": 0.623046875}, {"start": 508.05, "end": 508.19, "word": " is", "probability": 0.875}, {"start": 508.19, "end": 508.65, "word": " a", "probability": 0.54833984375}, {"start": 508.65, "end": 508.65, "word": " equation", "probability": 0.943359375}, {"start": 508.65, "end": 508.99, "word": " between", "probability": 0.6806640625}, {"start": 508.99, "end": 509.49, "word": " them", "probability": 0.8935546875}, {"start": 509.49, "end": 510.19, "word": " that", "probability": 0.431884765625}, {"start": 510.19, "end": 510.41, "word": " when", "probability": 0.8310546875}, {"start": 510.41, "end": 510.79, "word": " I", "probability": 0.84716796875}, {"start": 510.79, "end": 511.03, "word": " hit", "probability": 0.407470703125}], "temperature": 1.0}, {"id": 22, "seek": 54008, "start": 515.32, "end": 540.08, "text": "The refractive index of the light coming from the object at the angle of incidence is equal to the refractive index of the light coming from the object at the angle of incidence. Let's go back and see Ni Sin Theta I", "tokens": [2278, 45353, 488, 8186, 295, 264, 1442, 1348, 490, 264, 2657, 412, 264, 5802, 295, 41726, 307, 2681, 281, 264, 45353, 488, 8186, 295, 264, 1442, 1348, 490, 264, 2657, 412, 264, 5802, 295, 41726, 13, 961, 311, 352, 646, 293, 536, 12370, 11187, 334, 7664, 286], "avg_logprob": -0.6259765699505806, "compression_ratio": 1.8695652173913044, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 515.3199999999999, "end": 516.06, "word": "The", "probability": 0.1942138671875}, {"start": 516.06, "end": 516.8, "word": " refractive", "probability": 0.7166748046875}, {"start": 516.8, "end": 517.3, "word": " index", "probability": 0.94970703125}, {"start": 517.3, "end": 517.88, "word": " of", "probability": 0.393310546875}, {"start": 517.88, "end": 518.06, "word": " the", "probability": 0.5126953125}, {"start": 518.06, "end": 518.34, "word": " light", "probability": 0.107177734375}, {"start": 518.34, "end": 518.7, "word": " coming", "probability": 0.261962890625}, {"start": 518.7, "end": 519.02, "word": " from", "probability": 0.8232421875}, {"start": 519.02, "end": 519.3, "word": " the", "probability": 0.4091796875}, {"start": 519.3, "end": 519.44, "word": " object", "probability": 0.34033203125}, {"start": 519.44, "end": 520.34, "word": " at", "probability": 0.2056884765625}, {"start": 520.34, "end": 520.7, "word": " the", "probability": 0.61572265625}, {"start": 520.7, "end": 521.04, "word": " angle", "probability": 0.254150390625}, {"start": 521.04, "end": 521.42, "word": " of", "probability": 0.931640625}, {"start": 521.42, "end": 521.66, "word": " incidence", "probability": 0.17724609375}, {"start": 521.66, "end": 522.56, "word": " is", "probability": 0.318115234375}, {"start": 522.56, "end": 524.08, "word": " equal", "probability": 0.353271484375}, {"start": 524.08, "end": 524.94, "word": " to", "probability": 0.96923828125}, {"start": 524.94, "end": 525.0, "word": " the", "probability": 0.736328125}, {"start": 525.0, "end": 526.06, "word": " refractive", "probability": 0.854248046875}, {"start": 526.06, "end": 526.56, "word": " index", "probability": 0.9052734375}, {"start": 526.56, "end": 526.82, "word": " of", "probability": 0.91748046875}, {"start": 526.82, "end": 526.92, "word": " the", "probability": 0.85302734375}, {"start": 526.92, "end": 527.2, "word": " light", "probability": 0.53271484375}, {"start": 527.2, "end": 527.5, "word": " coming", "probability": 0.334228515625}, {"start": 527.5, "end": 527.78, "word": " from", "probability": 0.8466796875}, {"start": 527.78, "end": 528.28, "word": " the", "probability": 0.7666015625}, {"start": 528.28, "end": 528.28, "word": " object", "probability": 0.95556640625}, {"start": 528.28, "end": 528.88, "word": " at", "probability": 0.92578125}, {"start": 528.88, "end": 529.3, "word": " the", "probability": 0.87646484375}, {"start": 529.3, "end": 529.6, "word": " angle", "probability": 0.84130859375}, {"start": 529.6, "end": 530.12, "word": " of", "probability": 0.95849609375}, {"start": 530.12, "end": 530.5, "word": " incidence.", "probability": 0.9384765625}, {"start": 530.72, "end": 530.98, "word": " Let's", "probability": 0.672119140625}, {"start": 530.98, "end": 531.3, "word": " go", "probability": 0.136962890625}, {"start": 531.3, "end": 531.98, "word": " back", "probability": 0.76318359375}, {"start": 531.98, "end": 532.2, "word": " and", "probability": 0.5146484375}, {"start": 532.2, "end": 532.88, "word": " see", "probability": 0.4580078125}, {"start": 532.88, "end": 537.54, "word": " Ni", "probability": 0.34814453125}, {"start": 537.54, "end": 539.12, "word": " Sin", "probability": 0.2486572265625}, {"start": 539.12, "end": 539.7, "word": " Theta", "probability": 0.63818359375}, {"start": 539.7, "end": 540.08, "word": " I", "probability": 0.80078125}], "temperature": 1.0}, {"id": 23, "seek": 56507, "start": 540.71, "end": 565.07, "text": "is equal to Nt sin theta t. What is Ni? Ni is the refractive index of the incident medium, the medium from which the light fell, which came from it. In the Jep angle of fall, it is equal to Nt, which is the refractive index of the medium, or the refractive index of the medium in which the transmission took place, which passed through it, which is the second medium.", "tokens": [271, 2681, 281, 426, 83, 3343, 9725, 256, 13, 708, 307, 12370, 30, 12370, 307, 264, 45353, 488, 8186, 295, 264, 9348, 6399, 11, 264, 6399, 490, 597, 264, 1442, 5696, 11, 597, 1361, 490, 309, 13, 682, 264, 508, 595, 5802, 295, 2100, 11, 309, 307, 2681, 281, 426, 83, 11, 597, 307, 264, 45353, 488, 8186, 295, 264, 6399, 11, 420, 264, 45353, 488, 8186, 295, 264, 6399, 294, 597, 264, 11574, 1890, 1081, 11, 597, 4678, 807, 309, 11, 597, 307, 264, 1150, 6399, 13], "avg_logprob": -0.4877106768361638, "compression_ratio": 2.0054644808743167, "no_speech_prob": 2.9206275939941406e-06, "words": [{"start": 540.71, "end": 540.97, "word": "is", "probability": 0.0657958984375}, {"start": 540.97, "end": 541.31, "word": " equal", "probability": 0.5908203125}, {"start": 541.31, "end": 541.43, "word": " to", "probability": 0.9384765625}, {"start": 541.43, "end": 542.05, "word": " Nt", "probability": 0.3863525390625}, {"start": 542.05, "end": 542.73, "word": " sin", "probability": 0.36328125}, {"start": 542.73, "end": 543.31, "word": " theta", "probability": 0.444091796875}, {"start": 543.31, "end": 543.79, "word": " t.", "probability": 0.424072265625}, {"start": 544.53, "end": 544.83, "word": " What", "probability": 0.51513671875}, {"start": 544.83, "end": 544.91, "word": " is", "probability": 0.830078125}, {"start": 544.91, "end": 545.35, "word": " Ni?", "probability": 0.80419921875}, {"start": 545.43, "end": 545.83, "word": " Ni", "probability": 0.91748046875}, {"start": 545.83, "end": 546.01, "word": " is", "probability": 0.89697265625}, {"start": 546.01, "end": 546.07, "word": " the", "probability": 0.7841796875}, {"start": 546.07, "end": 546.63, "word": " refractive", "probability": 0.89208984375}, {"start": 546.63, "end": 547.03, "word": " index", "probability": 0.88232421875}, {"start": 547.03, "end": 547.33, "word": " of", "probability": 0.830078125}, {"start": 547.33, "end": 547.47, "word": " the", "probability": 0.72705078125}, {"start": 547.47, "end": 547.93, "word": " incident", "probability": 0.939453125}, {"start": 547.93, "end": 548.45, "word": " medium,", "probability": 0.94580078125}, {"start": 548.51, "end": 548.67, "word": " the", "probability": 0.59033203125}, {"start": 548.67, "end": 549.07, "word": " medium", "probability": 0.90234375}, {"start": 549.07, "end": 549.35, "word": " from", "probability": 0.387939453125}, {"start": 549.35, "end": 550.05, "word": " which", "probability": 0.8984375}, {"start": 550.05, "end": 550.17, "word": " the", "probability": 0.70751953125}, {"start": 550.17, "end": 550.25, "word": " light", "probability": 0.78466796875}, {"start": 550.25, "end": 550.25, "word": " fell,", "probability": 0.52490234375}, {"start": 550.33, "end": 550.55, "word": " which", "probability": 0.45849609375}, {"start": 550.55, "end": 550.79, "word": " came", "probability": 0.55078125}, {"start": 550.79, "end": 550.95, "word": " from", "probability": 0.8359375}, {"start": 550.95, "end": 551.19, "word": " it.", "probability": 0.5068359375}, {"start": 551.65, "end": 552.07, "word": " In", "probability": 0.64599609375}, {"start": 552.07, "end": 552.31, "word": " the", "probability": 0.57568359375}, {"start": 552.31, "end": 552.45, "word": " Jep", "probability": 0.1307830810546875}, {"start": 552.45, "end": 552.77, "word": " angle", "probability": 0.321044921875}, {"start": 552.77, "end": 553.05, "word": " of", "probability": 0.8994140625}, {"start": 553.05, "end": 553.37, "word": " fall,", "probability": 0.31494140625}, {"start": 554.01, "end": 554.01, "word": " it", "probability": 0.396240234375}, {"start": 554.01, "end": 554.15, "word": " is", "probability": 0.7822265625}, {"start": 554.15, "end": 554.47, "word": " equal", "probability": 0.91650390625}, {"start": 554.47, "end": 554.99, "word": " to", "probability": 0.97021484375}, {"start": 554.99, "end": 555.63, "word": " Nt,", "probability": 0.972900390625}, {"start": 556.33, "end": 556.45, "word": " which", "probability": 0.927734375}, {"start": 556.45, "end": 556.65, "word": " is", "probability": 0.935546875}, {"start": 556.65, "end": 556.81, "word": " the", "probability": 0.88134765625}, {"start": 556.81, "end": 558.39, "word": " refractive", "probability": 0.83935546875}, {"start": 558.39, "end": 558.79, "word": " index", "probability": 0.8837890625}, {"start": 558.79, "end": 558.81, "word": " of", "probability": 0.560546875}, {"start": 558.81, "end": 558.81, "word": " the", "probability": 0.83447265625}, {"start": 558.81, "end": 558.81, "word": " medium,", "probability": 0.93603515625}, {"start": 558.81, "end": 558.99, "word": " or", "probability": 0.3955078125}, {"start": 558.99, "end": 559.09, "word": " the", "probability": 0.69189453125}, {"start": 559.09, "end": 560.03, "word": " refractive", "probability": 0.4796142578125}, {"start": 560.03, "end": 560.03, "word": " index", "probability": 0.5390625}, {"start": 560.03, "end": 560.17, "word": " of", "probability": 0.88720703125}, {"start": 560.17, "end": 560.39, "word": " the", "probability": 0.90234375}, {"start": 560.39, "end": 560.65, "word": " medium", "probability": 0.94580078125}, {"start": 560.65, "end": 560.83, "word": " in", "probability": 0.375}, {"start": 560.83, "end": 561.39, "word": " which", "probability": 0.9306640625}, {"start": 561.39, "end": 561.57, "word": " the", "probability": 0.8447265625}, {"start": 561.57, "end": 562.09, "word": " transmission", "probability": 0.56591796875}, {"start": 562.09, "end": 562.17, "word": " took", "probability": 0.50830078125}, {"start": 562.17, "end": 562.17, "word": " place,", "probability": 0.89208984375}, {"start": 562.27, "end": 562.63, "word": " which", "probability": 0.494384765625}, {"start": 562.63, "end": 562.89, "word": " passed", "probability": 0.266357421875}, {"start": 562.89, "end": 563.89, "word": " through", "probability": 0.677734375}, {"start": 563.89, "end": 564.01, "word": " it,", "probability": 0.7119140625}, {"start": 564.27, "end": 564.53, "word": " which", "probability": 0.84716796875}, {"start": 564.53, "end": 564.61, "word": " is", "probability": 0.92919921875}, {"start": 564.61, "end": 564.75, "word": " the", "probability": 0.9111328125}, {"start": 564.75, "end": 564.77, "word": " second", "probability": 0.78076171875}, {"start": 564.77, "end": 565.07, "word": " medium.", "probability": 0.97265625}], "temperature": 1.0}, {"id": 24, "seek": 57470, "start": 566.36, "end": 574.7, "text": "until هو معامر الانكسار لل medium التاني اللي راح لها الضوء في جيب زاوية المرور أو زاوية الانكسار", "tokens": [2760, 388, 31439, 20449, 10943, 2288, 2423, 7649, 4117, 3794, 9640, 24976, 6399, 16712, 7649, 1829, 13672, 1829, 12602, 39319, 5296, 11296, 6024, 114, 2407, 38207, 8978, 10874, 1829, 3555, 30767, 995, 2407, 10632, 9673, 2288, 13063, 34051, 30767, 995, 2407, 10632, 2423, 7649, 4117, 3794, 9640], "avg_logprob": -0.20296224548170963, "compression_ratio": 1.456140350877193, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 566.36, "end": 567.06, "word": "until", "probability": 0.604736328125}, {"start": 567.06, "end": 567.44, "word": " هو", "probability": 0.91943359375}, {"start": 567.44, "end": 568.52, "word": " معامر", "probability": 0.9163411458333334}, {"start": 568.52, "end": 569.04, "word": " الانكسار", "probability": 0.8404296875}, {"start": 569.04, "end": 569.2, "word": " لل", "probability": 0.35009765625}, {"start": 569.2, "end": 569.58, "word": " medium", "probability": 0.8291015625}, {"start": 569.58, "end": 570.06, "word": " التاني", "probability": 0.8859049479166666}, {"start": 570.06, "end": 570.2, "word": " اللي", "probability": 0.92431640625}, {"start": 570.2, "end": 570.4, "word": " راح", "probability": 0.941162109375}, {"start": 570.4, "end": 570.66, "word": " لها", "probability": 0.68017578125}, {"start": 570.66, "end": 570.96, "word": " الضوء", "probability": 0.83782958984375}, {"start": 570.96, "end": 571.14, "word": " في", "probability": 0.85205078125}, {"start": 571.14, "end": 571.52, "word": " جيب", "probability": 0.720703125}, {"start": 571.52, "end": 572.14, "word": " زاوية", "probability": 0.968505859375}, {"start": 572.14, "end": 573.08, "word": " المرور", "probability": 0.9694010416666666}, {"start": 573.08, "end": 573.3, "word": " أو", "probability": 0.68359375}, {"start": 573.3, "end": 573.84, "word": " زاوية", "probability": 0.9930419921875}, {"start": 573.84, "end": 574.7, "word": " الانكسار", "probability": 0.9859375}], "temperature": 1.0}, {"id": 25, "seek": 59116, "start": 580.24, "end": 591.16, "text": "Again, a service normal is constructed and the angle of incidence and the plane of incidence and the transmission as defined just as they were for reflections", "tokens": [37968, 491, 11, 257, 2643, 2710, 307, 17083, 293, 264, 5802, 295, 41726, 293, 264, 5720, 295, 41726, 293, 264, 11574, 382, 7642, 445, 382, 436, 645, 337, 30679], "avg_logprob": -0.19218750496705372, "compression_ratio": 1.462962962962963, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 580.24, "end": 580.94, "word": "Again,", "probability": 0.778564453125}, {"start": 581.12, "end": 581.3, "word": " a", "probability": 0.83203125}, {"start": 581.3, "end": 581.66, "word": " service", "probability": 0.802734375}, {"start": 581.66, "end": 582.1, "word": " normal", "probability": 0.85009765625}, {"start": 582.1, "end": 582.44, "word": " is", "probability": 0.9609375}, {"start": 582.44, "end": 583.1, "word": " constructed", "probability": 0.9326171875}, {"start": 583.1, "end": 583.54, "word": " and", "probability": 0.64306640625}, {"start": 583.54, "end": 583.72, "word": " the", "probability": 0.9150390625}, {"start": 583.72, "end": 584.2, "word": " angle", "probability": 0.8798828125}, {"start": 584.2, "end": 584.5, "word": " of", "probability": 0.96923828125}, {"start": 584.5, "end": 585.1, "word": " incidence", "probability": 0.98095703125}, {"start": 585.1, "end": 585.46, "word": " and", "probability": 0.86669921875}, {"start": 585.46, "end": 585.62, "word": " the", "probability": 0.80419921875}, {"start": 585.62, "end": 585.96, "word": " plane", "probability": 0.84716796875}, {"start": 585.96, "end": 586.2, "word": " of", "probability": 0.97265625}, {"start": 586.2, "end": 586.8, "word": " incidence", "probability": 0.97705078125}, {"start": 586.8, "end": 587.12, "word": " and", "probability": 0.912109375}, {"start": 587.12, "end": 587.26, "word": " the", "probability": 0.705078125}, {"start": 587.26, "end": 587.84, "word": " transmission", "probability": 0.9296875}, {"start": 587.84, "end": 588.78, "word": " as", "probability": 0.79736328125}, {"start": 588.78, "end": 589.24, "word": " defined", "probability": 0.86083984375}, {"start": 589.24, "end": 589.64, "word": " just", "probability": 0.8740234375}, {"start": 589.64, "end": 589.98, "word": " as", "probability": 0.9677734375}, {"start": 589.98, "end": 590.2, "word": " they", "probability": 0.90380859375}, {"start": 590.2, "end": 590.44, "word": " were", "probability": 0.90087890625}, {"start": 590.44, "end": 590.62, "word": " for", "probability": 0.92724609375}, {"start": 590.62, "end": 591.16, "word": " reflections", "probability": 0.76806640625}], "temperature": 1.0}, {"id": 26, "seek": 62951, "start": 603.43, "end": 629.51, "text": "الان الهواء هو المادة اللي تم منها السقوط high سقط الشعاع الضوئي ولمس السطح في النقطة high بنينا العمود high زاوية السقوط وhigh زاوية المرور اللي أنا بقشر عليها زاوية المرور المحاصرة بين ال transmitted ray و ال service normal أول أول شغلة بدنا نفهمها أن الشعاع الساقط", "tokens": [6027, 7649, 2423, 3224, 2407, 16606, 31439, 9673, 18513, 3660, 13672, 1829, 46811, 9154, 11296, 21136, 4587, 2407, 9566, 1090, 8608, 47432, 25124, 3615, 45761, 6024, 114, 2407, 19986, 1829, 4032, 19528, 3794, 21136, 9566, 5016, 8978, 28239, 47432, 3660, 1090, 4724, 22653, 8315, 18863, 2304, 23328, 1090, 30767, 995, 2407, 10632, 21136, 4587, 2407, 9566, 4032, 21454, 30767, 995, 2407, 10632, 9673, 2288, 13063, 13672, 1829, 41850, 4724, 4587, 46309, 25894, 11296, 30767, 995, 2407, 10632, 9673, 2288, 13063, 9673, 5016, 33546, 25720, 49374, 2423, 25355, 18592, 4032, 2423, 2643, 2710, 5551, 12610, 5551, 12610, 13412, 17082, 37977, 47525, 8315, 8717, 5172, 16095, 11296, 14739, 25124, 3615, 45761, 21136, 995, 47432], "avg_logprob": -0.19980641803910246, "compression_ratio": 1.8734177215189873, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 603.43, "end": 603.91, "word": "الان", "probability": 0.437255859375}, {"start": 603.91, "end": 605.29, "word": " الهواء", "probability": 0.8662109375}, {"start": 605.29, "end": 605.47, "word": " هو", "probability": 0.97607421875}, {"start": 605.47, "end": 605.99, "word": " المادة", "probability": 0.9708658854166666}, {"start": 605.99, "end": 606.15, "word": " اللي", "probability": 0.69189453125}, {"start": 606.15, "end": 606.37, "word": " تم", "probability": 0.9423828125}, {"start": 606.37, "end": 606.61, "word": " منها", "probability": 0.982177734375}, {"start": 606.61, "end": 607.23, "word": " السقوط", "probability": 0.942626953125}, {"start": 607.23, "end": 607.51, "word": " high", "probability": 0.2188720703125}, {"start": 607.51, "end": 608.49, "word": " سقط", "probability": 0.828125}, {"start": 608.49, "end": 609.15, "word": " الشعاع", "probability": 0.8958333333333334}, {"start": 609.15, "end": 609.75, "word": " الضوئي", "probability": 0.75634765625}, {"start": 609.75, "end": 610.93, "word": " ولمس", "probability": 0.8504231770833334}, {"start": 610.93, "end": 611.33, "word": " السطح", "probability": 0.8761393229166666}, {"start": 611.33, "end": 611.47, "word": " في", "probability": 0.90380859375}, {"start": 611.47, "end": 611.85, "word": " النقطة", "probability": 0.9353841145833334}, {"start": 611.85, "end": 612.17, "word": " high", "probability": 0.94921875}, {"start": 612.17, "end": 612.89, "word": " بنينا", "probability": 0.6975911458333334}, {"start": 612.89, "end": 613.49, "word": " العمود", "probability": 0.9734700520833334}, {"start": 613.49, "end": 614.17, "word": " high", "probability": 0.28564453125}, {"start": 614.17, "end": 614.53, "word": " زاوية", "probability": 0.96240234375}, {"start": 614.53, "end": 615.75, "word": " السقوط", "probability": 0.9718017578125}, {"start": 615.75, "end": 617.33, "word": " وhigh", "probability": 0.8984375}, {"start": 617.33, "end": 617.89, "word": " زاوية", "probability": 0.994384765625}, {"start": 617.89, "end": 618.57, "word": " المرور", "probability": 0.9715169270833334}, {"start": 618.57, "end": 618.93, "word": " اللي", "probability": 0.9140625}, {"start": 618.93, "end": 619.09, "word": " أنا", "probability": 0.59716796875}, {"start": 619.09, "end": 619.61, "word": " بقشر", "probability": 0.664794921875}, {"start": 619.61, "end": 620.47, "word": " عليها", "probability": 0.975830078125}, {"start": 620.47, "end": 621.35, "word": " زاوية", "probability": 0.9840087890625}, {"start": 621.35, "end": 621.83, "word": " المرور", "probability": 0.9723307291666666}, {"start": 621.83, "end": 622.79, "word": " المحاصرة", "probability": 0.798828125}, {"start": 622.79, "end": 623.01, "word": " بين", "probability": 0.95361328125}, {"start": 623.01, "end": 623.15, "word": " ال", "probability": 0.6416015625}, {"start": 623.15, "end": 623.73, "word": " transmitted", "probability": 0.94873046875}, {"start": 623.73, "end": 624.09, "word": " ray", "probability": 0.880859375}, {"start": 624.09, "end": 624.23, "word": " و", "probability": 0.8349609375}, {"start": 624.23, "end": 624.35, "word": " ال", "probability": 0.338623046875}, {"start": 624.35, "end": 624.73, "word": " service", "probability": 0.748046875}, {"start": 624.73, "end": 625.33, "word": " normal", "probability": 0.76708984375}, {"start": 625.33, "end": 626.41, "word": " أول", "probability": 0.80712890625}, {"start": 626.41, "end": 626.95, "word": " أول", "probability": 0.87939453125}, {"start": 626.95, "end": 627.29, "word": " شغلة", "probability": 0.7798665364583334}, {"start": 627.29, "end": 627.47, "word": " بدنا", "probability": 0.6849365234375}, {"start": 627.47, "end": 627.93, "word": " نفهمها", "probability": 0.98828125}, {"start": 627.93, "end": 628.15, "word": " أن", "probability": 0.541015625}, {"start": 628.15, "end": 628.81, "word": " الشعاع", "probability": 0.8380533854166666}, {"start": 628.81, "end": 629.51, "word": " الساقط", "probability": 0.7906901041666666}], "temperature": 1.0}, {"id": 27, "seek": 64067, "start": 630.06, "end": 640.68, "text": "and the beam passing through it and the column standing on top of it, all three of them fall into one vacuum level, we call it plane of incidence and transmission.", "tokens": [474, 264, 14269, 8437, 807, 309, 293, 264, 7738, 4877, 322, 1192, 295, 309, 11, 439, 1045, 295, 552, 2100, 666, 472, 14224, 1496, 11, 321, 818, 309, 5720, 295, 41726, 293, 11574, 13], "avg_logprob": -0.7482142754963466, "compression_ratio": 1.4298245614035088, "no_speech_prob": 5.125999450683594e-06, "words": [{"start": 630.06, "end": 630.36, "word": "and", "probability": 0.30419921875}, {"start": 630.36, "end": 630.44, "word": " the", "probability": 0.54296875}, {"start": 630.44, "end": 630.74, "word": " beam", "probability": 0.0751953125}, {"start": 630.74, "end": 631.36, "word": " passing", "probability": 0.212890625}, {"start": 631.36, "end": 631.68, "word": " through", "probability": 0.60107421875}, {"start": 631.68, "end": 632.12, "word": " it", "probability": 0.326171875}, {"start": 632.12, "end": 632.34, "word": " and", "probability": 0.45166015625}, {"start": 632.34, "end": 632.5, "word": " the", "probability": 0.83349609375}, {"start": 632.5, "end": 632.86, "word": " column", "probability": 0.810546875}, {"start": 632.86, "end": 633.42, "word": " standing", "probability": 0.4423828125}, {"start": 633.42, "end": 633.7, "word": " on", "probability": 0.84521484375}, {"start": 633.7, "end": 634.06, "word": " top", "probability": 0.2939453125}, {"start": 634.06, "end": 634.06, "word": " of", "probability": 0.9267578125}, {"start": 634.06, "end": 634.24, "word": " it,", "probability": 0.845703125}, {"start": 634.24, "end": 634.4, "word": " all", "probability": 0.38525390625}, {"start": 634.4, "end": 634.72, "word": " three", "probability": 0.54833984375}, {"start": 634.72, "end": 634.82, "word": " of", "probability": 0.289794921875}, {"start": 634.82, "end": 634.82, "word": " them", "probability": 0.7880859375}, {"start": 634.82, "end": 635.06, "word": " fall", "probability": 0.1888427734375}, {"start": 635.06, "end": 635.3, "word": " into", "probability": 0.50732421875}, {"start": 635.3, "end": 635.7, "word": " one", "probability": 0.395263671875}, {"start": 635.7, "end": 636.28, "word": " vacuum", "probability": 0.1497802734375}, {"start": 636.28, "end": 636.88, "word": " level,", "probability": 0.4267578125}, {"start": 637.52, "end": 637.52, "word": " we", "probability": 0.324462890625}, {"start": 637.52, "end": 637.76, "word": " call", "probability": 0.72021484375}, {"start": 637.76, "end": 638.34, "word": " it", "probability": 0.6708984375}, {"start": 638.34, "end": 638.74, "word": " plane", "probability": 0.398681640625}, {"start": 638.74, "end": 639.02, "word": " of", "probability": 0.96240234375}, {"start": 639.02, "end": 639.68, "word": " incidence", "probability": 0.98291015625}, {"start": 639.68, "end": 640.08, "word": " and", "probability": 0.93994140625}, {"start": 640.08, "end": 640.68, "word": " transmission.", "probability": 0.91796875}], "temperature": 1.0}, {"id": 28, "seek": 67062, "start": 641.62, "end": 670.62, "text": "Secondly, there is a relation that connects the angle of fall with the angle of deflection or the angle of passage What is this relation? We say that if we multiply the factor of deflection for this substance which is air in the example air, the factor of deflection multiplied by J of the angle of fall we will find that it is equal to the factor of deflection for the substance that is going to light multiplied by J of the angle of passage", "tokens": [29511, 684, 356, 11, 456, 307, 257, 9721, 300, 16967, 264, 5802, 295, 2100, 365, 264, 5802, 295, 1060, 5450, 420, 264, 5802, 295, 11497, 708, 307, 341, 9721, 30, 492, 584, 300, 498, 321, 12972, 264, 5952, 295, 1060, 5450, 337, 341, 12961, 597, 307, 1988, 294, 264, 1365, 1988, 11, 264, 5952, 295, 1060, 5450, 17207, 538, 508, 295, 264, 5802, 295, 2100, 321, 486, 915, 300, 309, 307, 2681, 281, 264, 5952, 295, 1060, 5450, 337, 264, 12961, 300, 307, 516, 281, 1442, 17207, 538, 508, 295, 264, 5802, 295, 11497], "avg_logprob": -0.438815785081763, "compression_ratio": 2.221105527638191, "no_speech_prob": 3.039836883544922e-06, "words": [{"start": 641.62, "end": 642.26, "word": "Secondly,", "probability": 0.662353515625}, {"start": 642.66, "end": 642.82, "word": " there", "probability": 0.75732421875}, {"start": 642.82, "end": 642.84, "word": " is", "probability": 0.611328125}, {"start": 642.84, "end": 642.98, "word": " a", "probability": 0.85546875}, {"start": 642.98, "end": 643.38, "word": " relation", "probability": 0.6572265625}, {"start": 643.38, "end": 644.1, "word": " that", "probability": 0.58935546875}, {"start": 644.1, "end": 644.86, "word": " connects", "probability": 0.460693359375}, {"start": 644.86, "end": 645.08, "word": " the", "probability": 0.61865234375}, {"start": 645.08, "end": 645.2, "word": " angle", "probability": 0.2193603515625}, {"start": 645.2, "end": 645.44, "word": " of", "probability": 0.93212890625}, {"start": 645.44, "end": 645.74, "word": " fall", "probability": 0.37060546875}, {"start": 645.74, "end": 646.5, "word": " with", "probability": 0.6123046875}, {"start": 646.5, "end": 646.82, "word": " the", "probability": 0.78076171875}, {"start": 646.82, "end": 646.98, "word": " angle", "probability": 0.90966796875}, {"start": 646.98, "end": 647.44, "word": " of", "probability": 0.96240234375}, {"start": 647.44, "end": 648.18, "word": " deflection", "probability": 0.4971923828125}, {"start": 648.18, "end": 648.46, "word": " or", "probability": 0.794921875}, {"start": 648.46, "end": 648.56, "word": " the", "probability": 0.235595703125}, {"start": 648.56, "end": 648.76, "word": " angle", "probability": 0.81494140625}, {"start": 648.76, "end": 648.96, "word": " of", "probability": 0.9599609375}, {"start": 648.96, "end": 649.28, "word": " passage", "probability": 0.361083984375}, {"start": 649.28, "end": 649.68, "word": " What", "probability": 0.1357421875}, {"start": 649.68, "end": 650.1, "word": " is", "probability": 0.6123046875}, {"start": 650.1, "end": 650.36, "word": " this", "probability": 0.78857421875}, {"start": 650.36, "end": 650.84, "word": " relation?", "probability": 0.93017578125}, {"start": 651.06, "end": 651.52, "word": " We", "probability": 0.52587890625}, {"start": 651.52, "end": 651.8, "word": " say", "probability": 0.8134765625}, {"start": 651.8, "end": 652.34, "word": " that", "probability": 0.330078125}, {"start": 652.34, "end": 652.42, "word": " if", "probability": 0.9111328125}, {"start": 652.42, "end": 652.96, "word": " we", "probability": 0.9228515625}, {"start": 652.96, "end": 652.96, "word": " multiply", "probability": 0.84033203125}, {"start": 652.96, "end": 653.5, "word": " the", "probability": 0.82080078125}, {"start": 653.5, "end": 653.9, "word": " factor", "probability": 0.373779296875}, {"start": 653.9, "end": 654.02, "word": " of", "probability": 0.9619140625}, {"start": 654.02, "end": 654.48, "word": " deflection", "probability": 0.869384765625}, {"start": 654.48, "end": 654.74, "word": " for", "probability": 0.3310546875}, {"start": 654.74, "end": 654.88, "word": " this", "probability": 0.79345703125}, {"start": 654.88, "end": 655.2, "word": " substance", "probability": 0.327880859375}, {"start": 655.2, "end": 655.6, "word": " which", "probability": 0.517578125}, {"start": 655.6, "end": 655.98, "word": " is", "probability": 0.9345703125}, {"start": 655.98, "end": 656.34, "word": " air", "probability": 0.50927734375}, {"start": 656.34, "end": 656.74, "word": " in", "probability": 0.4267578125}, {"start": 656.74, "end": 656.84, "word": " the", "probability": 0.6865234375}, {"start": 656.84, "end": 657.2, "word": " example", "probability": 0.9482421875}, {"start": 657.2, "end": 658.08, "word": " air,", "probability": 0.29541015625}, {"start": 658.56, "end": 658.62, "word": " the", "probability": 0.470947265625}, {"start": 658.62, "end": 658.88, "word": " factor", "probability": 0.86083984375}, {"start": 658.88, "end": 659.06, "word": " of", "probability": 0.9677734375}, {"start": 659.06, "end": 659.54, "word": " deflection", "probability": 0.927490234375}, {"start": 659.54, "end": 660.04, "word": " multiplied", "probability": 0.448486328125}, {"start": 660.04, "end": 660.28, "word": " by", "probability": 0.703125}, {"start": 660.28, "end": 660.62, "word": " J", "probability": 0.37890625}, {"start": 660.62, "end": 660.78, "word": " of", "probability": 0.244384765625}, {"start": 660.78, "end": 660.88, "word": " the", "probability": 0.64013671875}, {"start": 660.88, "end": 661.02, "word": " angle", "probability": 0.90087890625}, {"start": 661.02, "end": 661.26, "word": " of", "probability": 0.96484375}, {"start": 661.26, "end": 661.6, "word": " fall", "probability": 0.77685546875}, {"start": 661.6, "end": 662.36, "word": " we", "probability": 0.39501953125}, {"start": 662.36, "end": 662.52, "word": " will", "probability": 0.62109375}, {"start": 662.52, "end": 662.82, "word": " find", "probability": 0.8564453125}, {"start": 662.82, "end": 663.14, "word": " that", "probability": 0.87109375}, {"start": 663.14, "end": 663.28, "word": " it", "probability": 0.8447265625}, {"start": 663.28, "end": 663.46, "word": " is", "probability": 0.46875}, {"start": 663.46, "end": 663.84, "word": " equal", "probability": 0.8212890625}, {"start": 663.84, "end": 664.74, "word": " to", "probability": 0.96142578125}, {"start": 664.74, "end": 664.82, "word": " the", "probability": 0.8974609375}, {"start": 664.82, "end": 665.16, "word": " factor", "probability": 0.87890625}, {"start": 665.16, "end": 665.34, "word": " of", "probability": 0.97216796875}, {"start": 665.34, "end": 665.74, "word": " deflection", "probability": 0.943603515625}, {"start": 665.74, "end": 666.0, "word": " for", "probability": 0.6806640625}, {"start": 666.0, "end": 666.26, "word": " the", "probability": 0.63525390625}, {"start": 666.26, "end": 666.44, "word": " substance", "probability": 0.8759765625}, {"start": 666.44, "end": 666.64, "word": " that", "probability": 0.4873046875}, {"start": 666.64, "end": 666.84, "word": " is", "probability": 0.393798828125}, {"start": 666.84, "end": 666.84, "word": " going", "probability": 0.77490234375}, {"start": 666.84, "end": 666.94, "word": " to", "probability": 0.904296875}, {"start": 666.94, "end": 667.34, "word": " light", "probability": 0.38427734375}, {"start": 667.34, "end": 668.06, "word": " multiplied", "probability": 0.576171875}, {"start": 668.06, "end": 668.62, "word": " by", "probability": 0.93310546875}, {"start": 668.62, "end": 669.12, "word": " J", "probability": 0.97509765625}, {"start": 669.12, "end": 669.96, "word": " of", "probability": 0.94970703125}, {"start": 669.96, "end": 670.04, "word": " the", "probability": 0.8544921875}, {"start": 670.04, "end": 670.04, "word": " angle", "probability": 0.91259765625}, {"start": 670.04, "end": 670.4, "word": " of", "probability": 0.9638671875}, {"start": 670.4, "end": 670.62, "word": " passage", "probability": 0.5361328125}], "temperature": 1.0}, {"id": 29, "seek": 69746, "start": 671.08, "end": 697.46, "text": "So ni sin θi is equal to nt sin θt Let's go back to the example and say that if we come to the calculator and say as usual I have plus or minus 30", "tokens": [6455, 3867, 3343, 12622, 72, 307, 2681, 281, 297, 83, 3343, 12622, 83, 961, 311, 352, 646, 281, 264, 1365, 293, 584, 300, 498, 321, 808, 281, 264, 24993, 293, 584, 382, 7713, 286, 362, 1804, 420, 3175, 2217], "avg_logprob": -0.4980468571186066, "compression_ratio": 1.2542372881355932, "no_speech_prob": 4.0531158447265625e-06, "words": [{"start": 671.08, "end": 671.42, "word": "So", "probability": 0.497802734375}, {"start": 671.42, "end": 672.32, "word": " ni", "probability": 0.2646484375}, {"start": 672.32, "end": 673.06, "word": " sin", "probability": 0.5654296875}, {"start": 673.06, "end": 673.9, "word": " θi", "probability": 0.57568359375}, {"start": 673.9, "end": 674.52, "word": " is", "probability": 0.041015625}, {"start": 674.52, "end": 674.78, "word": " equal", "probability": 0.86279296875}, {"start": 674.78, "end": 674.9, "word": " to", "probability": 0.94677734375}, {"start": 674.9, "end": 675.46, "word": " nt", "probability": 0.7412109375}, {"start": 675.46, "end": 675.96, "word": " sin", "probability": 0.9638671875}, {"start": 675.96, "end": 677.08, "word": " θt", "probability": 0.944580078125}, {"start": 677.08, "end": 677.5, "word": " Let's", "probability": 0.66162109375}, {"start": 677.5, "end": 677.72, "word": " go", "probability": 0.65576171875}, {"start": 677.72, "end": 677.78, "word": " back", "probability": 0.87451171875}, {"start": 677.78, "end": 677.86, "word": " to", "probability": 0.9052734375}, {"start": 677.86, "end": 677.98, "word": " the", "probability": 0.6396484375}, {"start": 677.98, "end": 678.32, "word": " example", "probability": 0.9423828125}, {"start": 678.32, "end": 678.42, "word": " and", "probability": 0.6923828125}, {"start": 678.42, "end": 678.78, "word": " say", "probability": 0.85302734375}, {"start": 678.78, "end": 679.52, "word": " that", "probability": 0.2376708984375}, {"start": 679.52, "end": 679.62, "word": " if", "probability": 0.6669921875}, {"start": 679.62, "end": 679.96, "word": " we", "probability": 0.765625}, {"start": 679.96, "end": 679.96, "word": " come", "probability": 0.274658203125}, {"start": 679.96, "end": 680.1, "word": " to", "probability": 0.810546875}, {"start": 680.1, "end": 680.52, "word": " the", "probability": 0.76513671875}, {"start": 680.52, "end": 680.88, "word": " calculator", "probability": 0.8466796875}, {"start": 680.88, "end": 681.48, "word": " and", "probability": 0.300048828125}, {"start": 681.48, "end": 682.02, "word": " say", "probability": 0.609375}, {"start": 682.02, "end": 682.26, "word": " as", "probability": 0.63720703125}, {"start": 682.26, "end": 682.72, "word": " usual", "probability": 0.75830078125}, {"start": 682.72, "end": 695.68, "word": " I", "probability": 0.267822265625}, {"start": 695.68, "end": 695.96, "word": " have", "probability": 0.76953125}, {"start": 695.96, "end": 696.2, "word": " plus", "probability": 0.193115234375}, {"start": 696.2, "end": 696.76, "word": " or", "probability": 0.1634521484375}, {"start": 696.76, "end": 696.76, "word": " minus", "probability": 0.98876953125}, {"start": 696.76, "end": 697.46, "word": " 30", "probability": 0.841796875}], "temperature": 1.0}, {"id": 30, "seek": 71473, "start": 698.99, "end": 714.73, "text": "and the angle of passage is 22 degrees. The angle of fall is 30 degrees and the angle of passage is 22 degrees. Okay, the factor of deflection for air is 1. 1 to Ni, we multiply by 30.", "tokens": [474, 264, 5802, 295, 11497, 307, 5853, 5310, 13, 440, 5802, 295, 2100, 307, 2217, 5310, 293, 264, 5802, 295, 11497, 307, 5853, 5310, 13, 1033, 11, 264, 5952, 295, 1060, 5450, 337, 1988, 307, 502, 13, 502, 281, 12370, 11, 321, 12972, 538, 2217, 13], "avg_logprob": -0.6243351216011859, "compression_ratio": 1.546218487394958, "no_speech_prob": 1.5616416931152344e-05, "words": [{"start": 698.99, "end": 699.27, "word": "and", "probability": 0.271728515625}, {"start": 699.27, "end": 699.41, "word": " the", "probability": 0.406494140625}, {"start": 699.41, "end": 699.53, "word": " angle", "probability": 0.264404296875}, {"start": 699.53, "end": 699.77, "word": " of", "probability": 0.88037109375}, {"start": 699.77, "end": 700.13, "word": " passage", "probability": 0.427978515625}, {"start": 700.13, "end": 700.29, "word": " is", "probability": 0.8173828125}, {"start": 700.29, "end": 701.01, "word": " 22", "probability": 0.9287109375}, {"start": 701.01, "end": 701.23, "word": " degrees.", "probability": 0.53125}, {"start": 702.37, "end": 702.39, "word": " The", "probability": 0.41015625}, {"start": 702.39, "end": 702.59, "word": " angle", "probability": 0.771484375}, {"start": 702.59, "end": 702.79, "word": " of", "probability": 0.95849609375}, {"start": 702.79, "end": 703.07, "word": " fall", "probability": 0.495361328125}, {"start": 703.07, "end": 703.25, "word": " is", "probability": 0.912109375}, {"start": 703.25, "end": 703.77, "word": " 30", "probability": 0.95068359375}, {"start": 703.77, "end": 704.27, "word": " degrees", "probability": 0.744140625}, {"start": 704.27, "end": 704.73, "word": " and", "probability": 0.6318359375}, {"start": 704.73, "end": 704.75, "word": " the", "probability": 0.8623046875}, {"start": 704.75, "end": 705.07, "word": " angle", "probability": 0.91015625}, {"start": 705.07, "end": 705.21, "word": " of", "probability": 0.9541015625}, {"start": 705.21, "end": 705.55, "word": " passage", "probability": 0.68701171875}, {"start": 705.55, "end": 705.77, "word": " is", "probability": 0.931640625}, {"start": 705.77, "end": 706.29, "word": " 22", "probability": 0.9765625}, {"start": 706.29, "end": 706.73, "word": " degrees.", "probability": 0.85009765625}, {"start": 706.85, "end": 707.01, "word": " Okay,", "probability": 0.1658935546875}, {"start": 707.87, "end": 708.11, "word": " the", "probability": 0.6826171875}, {"start": 708.11, "end": 708.39, "word": " factor", "probability": 0.287841796875}, {"start": 708.39, "end": 708.59, "word": " of", "probability": 0.88525390625}, {"start": 708.59, "end": 709.05, "word": " deflection", "probability": 0.382843017578125}, {"start": 709.05, "end": 709.25, "word": " for", "probability": 0.4580078125}, {"start": 709.25, "end": 709.55, "word": " air", "probability": 0.3701171875}, {"start": 709.55, "end": 709.69, "word": " is", "probability": 0.9091796875}, {"start": 709.69, "end": 710.09, "word": " 1.", "probability": 0.62548828125}, {"start": 711.07, "end": 711.55, "word": " 1", "probability": 0.62353515625}, {"start": 711.55, "end": 712.55, "word": " to", "probability": 0.257080078125}, {"start": 712.55, "end": 713.33, "word": " Ni,", "probability": 0.380126953125}, {"start": 713.87, "end": 713.95, "word": " we", "probability": 0.434814453125}, {"start": 713.95, "end": 714.23, "word": " multiply", "probability": 0.76708984375}, {"start": 714.23, "end": 714.45, "word": " by", "probability": 0.53564453125}, {"start": 714.45, "end": 714.73, "word": " 30.", "probability": 0.58642578125}], "temperature": 1.0}, {"id": 31, "seek": 74633, "start": 739.53, "end": 746.33, "text": "The angle formed by the transmitted ray and the surface normal is the angle of refraction", "tokens": [2278, 5802, 8693, 538, 264, 25355, 18592, 293, 264, 3753, 2710, 307, 264, 5802, 295, 1895, 26766], "avg_logprob": -0.2773437400658925, "compression_ratio": 1.1710526315789473, "no_speech_prob": 2.580881118774414e-05, "words": [{"start": 739.5300000000001, "end": 740.21, "word": "The", "probability": 0.08697509765625}, {"start": 740.21, "end": 740.89, "word": " angle", "probability": 0.81591796875}, {"start": 740.89, "end": 741.51, "word": " formed", "probability": 0.90771484375}, {"start": 741.51, "end": 742.15, "word": " by", "probability": 0.97412109375}, {"start": 742.15, "end": 742.37, "word": " the", "probability": 0.8720703125}, {"start": 742.37, "end": 742.99, "word": " transmitted", "probability": 0.9462890625}, {"start": 742.99, "end": 743.27, "word": " ray", "probability": 0.9208984375}, {"start": 743.27, "end": 743.51, "word": " and", "probability": 0.78662109375}, {"start": 743.51, "end": 743.67, "word": " the", "probability": 0.830078125}, {"start": 743.67, "end": 744.01, "word": " surface", "probability": 0.68701171875}, {"start": 744.01, "end": 744.53, "word": " normal", "probability": 0.8583984375}, {"start": 744.53, "end": 744.83, "word": " is", "probability": 0.89794921875}, {"start": 744.83, "end": 745.07, "word": " the", "probability": 0.9208984375}, {"start": 745.07, "end": 745.41, "word": " angle", "probability": 0.849609375}, {"start": 745.41, "end": 745.73, "word": " of", "probability": 0.97021484375}, {"start": 745.73, "end": 746.33, "word": " refraction", "probability": 0.900146484375}], "temperature": 1.0}, {"id": 32, "seek": 77297, "start": 746.89, "end": 772.97, "text": "also known as the angle of transmission. The angle of transmission is preferred in this text because the angle of refraction θR might otherwise with the angle of reflection θR. If I say angle of refraction, the word refraction starts with the letter R and the word reflection", "tokens": [41551, 2570, 382, 264, 5802, 295, 11574, 13, 440, 5802, 295, 11574, 307, 16494, 294, 341, 2487, 570, 264, 5802, 295, 1895, 26766, 12622, 49, 1062, 5911, 365, 264, 5802, 295, 12914, 12622, 49, 13, 759, 286, 584, 5802, 295, 1895, 26766, 11, 264, 1349, 1895, 26766, 3719, 365, 264, 5063, 497, 293, 264, 1349, 12914], "avg_logprob": -0.3412829031024063, "compression_ratio": 1.9236111111111112, "no_speech_prob": 1.9550323486328125e-05, "words": [{"start": 746.89, "end": 747.39, "word": "also", "probability": 0.458984375}, {"start": 747.39, "end": 747.85, "word": " known", "probability": 0.69970703125}, {"start": 747.85, "end": 748.25, "word": " as", "probability": 0.9619140625}, {"start": 748.25, "end": 748.43, "word": " the", "probability": 0.7998046875}, {"start": 748.43, "end": 748.85, "word": " angle", "probability": 0.74609375}, {"start": 748.85, "end": 749.15, "word": " of", "probability": 0.96044921875}, {"start": 749.15, "end": 749.81, "word": " transmission.", "probability": 0.66748046875}, {"start": 750.77, "end": 750.89, "word": " The", "probability": 0.5947265625}, {"start": 750.89, "end": 751.33, "word": " angle", "probability": 0.8642578125}, {"start": 751.33, "end": 751.59, "word": " of", "probability": 0.96875}, {"start": 751.59, "end": 752.27, "word": " transmission", "probability": 0.85302734375}, {"start": 752.27, "end": 755.27, "word": " is", "probability": 0.34912109375}, {"start": 755.27, "end": 755.87, "word": " preferred", "probability": 0.72509765625}, {"start": 755.87, "end": 756.63, "word": " in", "probability": 0.90869140625}, {"start": 756.63, "end": 756.91, "word": " this", "probability": 0.9345703125}, {"start": 756.91, "end": 757.35, "word": " text", "probability": 0.97509765625}, {"start": 757.35, "end": 758.61, "word": " because", "probability": 0.60009765625}, {"start": 758.61, "end": 759.29, "word": " the", "probability": 0.78955078125}, {"start": 759.29, "end": 759.71, "word": " angle", "probability": 0.8603515625}, {"start": 759.71, "end": 760.01, "word": " of", "probability": 0.96923828125}, {"start": 760.01, "end": 760.61, "word": " refraction", "probability": 0.860595703125}, {"start": 760.61, "end": 761.43, "word": " θR", "probability": 0.5213623046875}, {"start": 761.43, "end": 762.39, "word": " might", "probability": 0.92919921875}, {"start": 762.39, "end": 763.05, "word": " otherwise", "probability": 0.86767578125}, {"start": 763.05, "end": 764.31, "word": " with", "probability": 0.060333251953125}, {"start": 764.31, "end": 765.03, "word": " the", "probability": 0.51123046875}, {"start": 765.03, "end": 765.43, "word": " angle", "probability": 0.82275390625}, {"start": 765.43, "end": 765.77, "word": " of", "probability": 0.95458984375}, {"start": 765.77, "end": 766.35, "word": " reflection", "probability": 0.8359375}, {"start": 766.35, "end": 767.51, "word": " θR.", "probability": 0.939208984375}, {"start": 767.79, "end": 767.99, "word": " If", "probability": 0.587890625}, {"start": 767.99, "end": 768.19, "word": " I", "probability": 0.89990234375}, {"start": 768.19, "end": 768.35, "word": " say", "probability": 0.791015625}, {"start": 768.35, "end": 768.77, "word": " angle", "probability": 0.61328125}, {"start": 768.77, "end": 769.15, "word": " of", "probability": 0.96826171875}, {"start": 769.15, "end": 769.83, "word": " refraction,", "probability": 0.882568359375}, {"start": 770.13, "end": 770.19, "word": " the", "probability": 0.4453125}, {"start": 770.19, "end": 770.35, "word": " word", "probability": 0.78564453125}, {"start": 770.35, "end": 770.71, "word": " refraction", "probability": 0.810302734375}, {"start": 770.71, "end": 771.41, "word": " starts", "probability": 0.59521484375}, {"start": 771.41, "end": 771.57, "word": " with", "probability": 0.88330078125}, {"start": 771.57, "end": 771.65, "word": " the", "probability": 0.52490234375}, {"start": 771.65, "end": 771.81, "word": " letter", "probability": 0.80712890625}, {"start": 771.81, "end": 772.25, "word": " R", "probability": 0.84326171875}, {"start": 772.25, "end": 772.43, "word": " and", "probability": 0.62255859375}, {"start": 772.43, "end": 772.47, "word": " the", "probability": 0.66162109375}, {"start": 772.47, "end": 772.47, "word": " word", "probability": 0.87890625}, {"start": 772.47, "end": 772.97, "word": " reflection", "probability": 0.84326171875}], "temperature": 1.0}, {"id": 33, "seek": 78996, "start": 774.1, "end": 789.96, "text": "You start with the letter R, sometimes if I hear theta R, it will not be clear whether it is refraction or reflection, so to distinguish between them, R for reflection and T for transmission, which is itself refraction, so theta T", "tokens": [3223, 722, 365, 264, 5063, 497, 11, 2171, 498, 286, 1568, 9725, 497, 11, 309, 486, 406, 312, 1850, 1968, 309, 307, 1895, 26766, 420, 12914, 11, 370, 281, 20206, 1296, 552, 11, 497, 337, 12914, 293, 314, 337, 11574, 11, 597, 307, 2564, 1895, 26766, 11, 370, 9725, 314], "avg_logprob": -0.5009191293342441, "compression_ratio": 1.5862068965517242, "no_speech_prob": 4.76837158203125e-06, "words": [{"start": 774.1, "end": 774.3, "word": "You", "probability": 0.050048828125}, {"start": 774.3, "end": 774.5, "word": " start", "probability": 0.6669921875}, {"start": 774.5, "end": 774.64, "word": " with", "probability": 0.8076171875}, {"start": 774.64, "end": 774.7, "word": " the", "probability": 0.3291015625}, {"start": 774.7, "end": 774.88, "word": " letter", "probability": 0.802734375}, {"start": 774.88, "end": 775.32, "word": " R,", "probability": 0.5849609375}, {"start": 775.46, "end": 775.7, "word": " sometimes", "probability": 0.20751953125}, {"start": 775.7, "end": 775.9, "word": " if", "probability": 0.74267578125}, {"start": 775.9, "end": 776.12, "word": " I", "probability": 0.82373046875}, {"start": 776.12, "end": 776.62, "word": " hear", "probability": 0.6083984375}, {"start": 776.62, "end": 777.0, "word": " theta", "probability": 0.4560546875}, {"start": 777.0, "end": 777.32, "word": " R,", "probability": 0.92529296875}, {"start": 777.48, "end": 777.52, "word": " it", "probability": 0.52685546875}, {"start": 777.52, "end": 777.54, "word": " will", "probability": 0.197998046875}, {"start": 777.54, "end": 778.32, "word": " not", "probability": 0.6005859375}, {"start": 778.32, "end": 778.5, "word": " be", "probability": 0.767578125}, {"start": 778.5, "end": 779.12, "word": " clear", "probability": 0.79736328125}, {"start": 779.12, "end": 779.68, "word": " whether", "probability": 0.50244140625}, {"start": 779.68, "end": 779.86, "word": " it", "probability": 0.865234375}, {"start": 779.86, "end": 779.9, "word": " is", "probability": 0.85302734375}, {"start": 779.9, "end": 780.52, "word": " refraction", "probability": 0.66943359375}, {"start": 780.52, "end": 780.82, "word": " or", "probability": 0.95556640625}, {"start": 780.82, "end": 781.54, "word": " reflection,", "probability": 0.89111328125}, {"start": 781.7, "end": 781.82, "word": " so", "probability": 0.63818359375}, {"start": 781.82, "end": 782.06, "word": " to", "probability": 0.56884765625}, {"start": 782.06, "end": 782.46, "word": " distinguish", "probability": 0.71923828125}, {"start": 782.46, "end": 782.68, "word": " between", "probability": 0.771484375}, {"start": 782.68, "end": 782.84, "word": " them,", "probability": 0.837890625}, {"start": 782.92, "end": 783.38, "word": " R", "probability": 0.7236328125}, {"start": 783.38, "end": 784.12, "word": " for", "probability": 0.54345703125}, {"start": 784.12, "end": 784.74, "word": " reflection", "probability": 0.72607421875}, {"start": 784.74, "end": 785.44, "word": " and", "probability": 0.71533203125}, {"start": 785.44, "end": 785.86, "word": " T", "probability": 0.95849609375}, {"start": 785.86, "end": 786.16, "word": " for", "probability": 0.90673828125}, {"start": 786.16, "end": 786.9, "word": " transmission,", "probability": 0.8388671875}, {"start": 787.2, "end": 787.22, "word": " which", "probability": 0.90283203125}, {"start": 787.22, "end": 787.5, "word": " is", "probability": 0.7744140625}, {"start": 787.5, "end": 787.8, "word": " itself", "probability": 0.221435546875}, {"start": 787.8, "end": 788.6, "word": " refraction,", "probability": 0.73779296875}, {"start": 788.7, "end": 788.88, "word": " so", "probability": 0.55712890625}, {"start": 788.88, "end": 789.3, "word": " theta", "probability": 0.83447265625}, {"start": 789.3, "end": 789.96, "word": " T", "probability": 0.9140625}], "temperature": 1.0}, {"id": 34, "seek": 80457, "start": 791.05, "end": 804.57, "text": "At the optical interface, light undergoes an abrupt change in speed that in turn usually produces an abrupt change in direction.", "tokens": [18684, 264, 20674, 9226, 11, 1442, 26426, 279, 364, 33401, 1319, 294, 3073, 300, 294, 1261, 2673, 14725, 364, 33401, 1319, 294, 3513, 13], "avg_logprob": -0.21156250476837157, "compression_ratio": 1.3473684210526315, "no_speech_prob": 2.9206275939941406e-06, "words": [{"start": 791.05, "end": 791.37, "word": "At", "probability": 0.7001953125}, {"start": 791.37, "end": 791.53, "word": " the", "probability": 0.9208984375}, {"start": 791.53, "end": 791.93, "word": " optical", "probability": 0.88134765625}, {"start": 791.93, "end": 795.31, "word": " interface,", "probability": 0.91259765625}, {"start": 795.71, "end": 796.15, "word": " light", "probability": 0.498291015625}, {"start": 796.15, "end": 797.13, "word": " undergoes", "probability": 0.947021484375}, {"start": 797.13, "end": 797.41, "word": " an", "probability": 0.9482421875}, {"start": 797.41, "end": 797.87, "word": " abrupt", "probability": 0.9169921875}, {"start": 797.87, "end": 798.47, "word": " change", "probability": 0.89697265625}, {"start": 798.47, "end": 798.69, "word": " in", "probability": 0.951171875}, {"start": 798.69, "end": 799.21, "word": " speed", "probability": 0.927734375}, {"start": 799.21, "end": 800.03, "word": " that", "probability": 0.64892578125}, {"start": 800.03, "end": 800.37, "word": " in", "probability": 0.7822265625}, {"start": 800.37, "end": 800.65, "word": " turn", "probability": 0.84228515625}, {"start": 800.65, "end": 801.33, "word": " usually", "probability": 0.8876953125}, {"start": 801.33, "end": 802.17, "word": " produces", "probability": 0.91650390625}, {"start": 802.17, "end": 802.57, "word": " an", "probability": 0.9462890625}, {"start": 802.57, "end": 802.99, "word": " abrupt", "probability": 0.9326171875}, {"start": 802.99, "end": 803.57, "word": " change", "probability": 0.8994140625}, {"start": 803.57, "end": 803.89, "word": " in", "probability": 0.94189453125}, {"start": 803.89, "end": 804.57, "word": " direction.", "probability": 0.974609375}], "temperature": 1.0}, {"id": 35, "seek": 84272, "start": 817.46, "end": 842.72, "text": "it may change the speed of light change in its direction and it may not change the speed of light change in direction to understand this we say as follows here I have the light was flowing in this way and it fell into the other substance changed its direction", "tokens": [270, 815, 1319, 264, 3073, 295, 1442, 1319, 294, 1080, 3513, 293, 309, 815, 406, 1319, 264, 3073, 295, 1442, 1319, 294, 3513, 281, 1223, 341, 321, 584, 382, 10002, 510, 286, 362, 264, 1442, 390, 13974, 294, 341, 636, 293, 309, 5696, 666, 264, 661, 12961, 3105, 1080, 3513], "avg_logprob": -0.6164215943392586, "compression_ratio": 1.8905109489051095, "no_speech_prob": 6.67572021484375e-06, "words": [{"start": 817.46, "end": 817.58, "word": "it", "probability": 0.1446533203125}, {"start": 817.58, "end": 817.86, "word": " may", "probability": 0.277099609375}, {"start": 817.86, "end": 818.64, "word": " change", "probability": 0.33203125}, {"start": 818.64, "end": 818.88, "word": " the", "probability": 0.51708984375}, {"start": 818.88, "end": 819.08, "word": " speed", "probability": 0.67431640625}, {"start": 819.08, "end": 819.3, "word": " of", "probability": 0.91064453125}, {"start": 819.3, "end": 819.68, "word": " light", "probability": 0.65576171875}, {"start": 819.68, "end": 820.56, "word": " change", "probability": 0.1519775390625}, {"start": 820.56, "end": 820.88, "word": " in", "probability": 0.63671875}, {"start": 820.88, "end": 821.48, "word": " its", "probability": 0.56640625}, {"start": 821.48, "end": 821.48, "word": " direction", "probability": 0.88232421875}, {"start": 821.48, "end": 821.88, "word": " and", "probability": 0.40771484375}, {"start": 821.88, "end": 822.0, "word": " it", "probability": 0.480224609375}, {"start": 822.0, "end": 822.18, "word": " may", "probability": 0.8203125}, {"start": 822.18, "end": 822.62, "word": " not", "probability": 0.34326171875}, {"start": 822.62, "end": 824.24, "word": " change", "probability": 0.869140625}, {"start": 824.24, "end": 824.42, "word": " the", "probability": 0.70849609375}, {"start": 824.42, "end": 824.62, "word": " speed", "probability": 0.8984375}, {"start": 824.62, "end": 824.78, "word": " of", "probability": 0.9052734375}, {"start": 824.78, "end": 825.04, "word": " light", "probability": 0.86328125}, {"start": 825.04, "end": 825.32, "word": " change", "probability": 0.8076171875}, {"start": 825.32, "end": 825.62, "word": " in", "probability": 0.849609375}, {"start": 825.62, "end": 826.26, "word": " direction", "probability": 0.5224609375}, {"start": 826.26, "end": 827.02, "word": " to", "probability": 0.60693359375}, {"start": 827.02, "end": 827.46, "word": " understand", "probability": 0.69677734375}, {"start": 827.46, "end": 827.74, "word": " this", "probability": 0.65673828125}, {"start": 827.74, "end": 828.34, "word": " we", "probability": 0.24169921875}, {"start": 828.34, "end": 829.12, "word": " say", "probability": 0.7783203125}, {"start": 829.12, "end": 829.34, "word": " as", "probability": 0.5986328125}, {"start": 829.34, "end": 829.82, "word": " follows", "probability": 0.81982421875}, {"start": 829.82, "end": 832.48, "word": " here", "probability": 0.1387939453125}, {"start": 832.48, "end": 832.7, "word": " I", "probability": 0.7958984375}, {"start": 832.7, "end": 833.06, "word": " have", "probability": 0.84033203125}, {"start": 833.06, "end": 836.38, "word": " the", "probability": 0.19775390625}, {"start": 836.38, "end": 836.58, "word": " light", "probability": 0.84814453125}, {"start": 836.58, "end": 836.86, "word": " was", "probability": 0.68798828125}, {"start": 836.86, "end": 837.24, "word": " flowing", "probability": 0.212890625}, {"start": 837.24, "end": 837.38, "word": " in", "probability": 0.346923828125}, {"start": 837.38, "end": 838.08, "word": " this", "probability": 0.87255859375}, {"start": 838.08, "end": 838.08, "word": " way", "probability": 0.7294921875}, {"start": 838.08, "end": 839.54, "word": " and", "probability": 0.52197265625}, {"start": 839.54, "end": 839.7, "word": " it", "probability": 0.74951171875}, {"start": 839.7, "end": 840.04, "word": " fell", "probability": 0.73583984375}, {"start": 840.04, "end": 840.8, "word": " into", "probability": 0.179443359375}, {"start": 840.8, "end": 841.0, "word": " the", "probability": 0.75732421875}, {"start": 841.0, "end": 841.64, "word": " other", "probability": 0.47607421875}, {"start": 841.64, "end": 841.64, "word": " substance", "probability": 0.497802734375}, {"start": 841.64, "end": 842.2, "word": " changed", "probability": 0.300537109375}, {"start": 842.2, "end": 842.42, "word": " its", "probability": 0.505859375}, {"start": 842.42, "end": 842.72, "word": " direction", "probability": 0.9189453125}], "temperature": 1.0}, {"id": 36, "seek": 86562, "start": 843.38, "end": 865.62, "text": "He changed his direction, so he lost Of course, the loss itself is a change in his speed Light in the air has a certain speed when it enters water or when it enters glass For example, when glass enters, it slows down and changes its direction", "tokens": [5205, 3105, 702, 3513, 11, 370, 415, 2731, 2720, 1164, 11, 264, 4470, 2564, 307, 257, 1319, 294, 702, 3073, 8279, 294, 264, 1988, 575, 257, 1629, 3073, 562, 309, 18780, 1281, 420, 562, 309, 18780, 4276, 1171, 1365, 11, 562, 4276, 18780, 11, 309, 35789, 760, 293, 2962, 1080, 3513], "avg_logprob": -0.4447115338765658, "compression_ratio": 1.635135135135135, "no_speech_prob": 2.7298927307128906e-05, "words": [{"start": 843.38, "end": 843.58, "word": "He", "probability": 0.08642578125}, {"start": 843.58, "end": 843.76, "word": " changed", "probability": 0.845703125}, {"start": 843.76, "end": 844.32, "word": " his", "probability": 0.5400390625}, {"start": 844.32, "end": 844.32, "word": " direction,", "probability": 0.83349609375}, {"start": 844.72, "end": 844.84, "word": " so", "probability": 0.332763671875}, {"start": 844.84, "end": 845.84, "word": " he", "probability": 0.484619140625}, {"start": 845.84, "end": 846.94, "word": " lost", "probability": 0.2109375}, {"start": 846.94, "end": 847.54, "word": " Of", "probability": 0.13818359375}, {"start": 847.54, "end": 847.9, "word": " course,", "probability": 0.96044921875}, {"start": 848.44, "end": 848.54, "word": " the", "probability": 0.30078125}, {"start": 848.54, "end": 848.92, "word": " loss", "probability": 0.374267578125}, {"start": 848.92, "end": 849.52, "word": " itself", "probability": 0.61328125}, {"start": 849.52, "end": 849.74, "word": " is", "probability": 0.77392578125}, {"start": 849.74, "end": 849.9, "word": " a", "probability": 0.62646484375}, {"start": 849.9, "end": 850.22, "word": " change", "probability": 0.86865234375}, {"start": 850.22, "end": 850.44, "word": " in", "probability": 0.8916015625}, {"start": 850.44, "end": 850.56, "word": " his", "probability": 0.67529296875}, {"start": 850.56, "end": 850.86, "word": " speed", "probability": 0.94384765625}, {"start": 850.86, "end": 851.9, "word": " Light", "probability": 0.5107421875}, {"start": 851.9, "end": 852.1, "word": " in", "probability": 0.78076171875}, {"start": 852.1, "end": 852.2, "word": " the", "probability": 0.7158203125}, {"start": 852.2, "end": 852.54, "word": " air", "probability": 0.845703125}, {"start": 852.54, "end": 853.72, "word": " has", "probability": 0.8349609375}, {"start": 853.72, "end": 854.12, "word": " a", "probability": 0.9794921875}, {"start": 854.12, "end": 854.48, "word": " certain", "probability": 0.63232421875}, {"start": 854.48, "end": 854.48, "word": " speed", "probability": 0.9111328125}, {"start": 854.48, "end": 854.84, "word": " when", "probability": 0.6396484375}, {"start": 854.84, "end": 855.04, "word": " it", "probability": 0.53271484375}, {"start": 855.04, "end": 855.3, "word": " enters", "probability": 0.8193359375}, {"start": 855.3, "end": 855.78, "word": " water", "probability": 0.6875}, {"start": 855.78, "end": 856.46, "word": " or", "probability": 0.70654296875}, {"start": 856.46, "end": 856.66, "word": " when", "probability": 0.6533203125}, {"start": 856.66, "end": 856.8, "word": " it", "probability": 0.89404296875}, {"start": 856.8, "end": 857.06, "word": " enters", "probability": 0.935546875}, {"start": 857.06, "end": 857.7, "word": " glass", "probability": 0.763671875}, {"start": 857.7, "end": 858.5, "word": " For", "probability": 0.74951171875}, {"start": 858.5, "end": 858.7, "word": " example,", "probability": 0.9208984375}, {"start": 858.8, "end": 858.94, "word": " when", "probability": 0.89794921875}, {"start": 858.94, "end": 859.7, "word": " glass", "probability": 0.5771484375}, {"start": 859.7, "end": 859.92, "word": " enters,", "probability": 0.91748046875}, {"start": 861.92, "end": 862.12, "word": " it", "probability": 0.56884765625}, {"start": 862.12, "end": 863.54, "word": " slows", "probability": 0.9267578125}, {"start": 863.54, "end": 864.04, "word": " down", "probability": 0.82958984375}, {"start": 864.04, "end": 864.4, "word": " and", "probability": 0.90673828125}, {"start": 864.4, "end": 864.92, "word": " changes", "probability": 0.7548828125}, {"start": 864.92, "end": 865.26, "word": " its", "probability": 0.44677734375}, {"start": 865.26, "end": 865.62, "word": " direction", "probability": 0.92724609375}], "temperature": 1.0}, {"id": 37, "seek": 89191, "start": 866.01, "end": 891.91, "text": "It is clear that the light is broken. But the shortcoming of changing direction is not the precise definition of shortcoming. The precise definition of shortcoming is the change in the speed of light when it enters from one center to another center. This change in direction may or may not attract. One may say, well, how? It may attract and may not attract. The example is very simple. Now this light is coming from the air.", "tokens": [3522, 307, 1850, 300, 264, 1442, 307, 5463, 13, 583, 264, 2099, 6590, 295, 4473, 3513, 307, 406, 264, 13600, 7123, 295, 2099, 6590, 13, 440, 13600, 7123, 295, 2099, 6590, 307, 264, 1319, 294, 264, 3073, 295, 1442, 562, 309, 18780, 490, 472, 3056, 281, 1071, 3056, 13, 639, 1319, 294, 3513, 815, 420, 815, 406, 5049, 13, 1485, 815, 584, 11, 731, 11, 577, 30, 467, 815, 5049, 293, 815, 406, 5049, 13, 440, 1365, 307, 588, 2199, 13, 823, 341, 1442, 307, 1348, 490, 264, 1988, 13], "avg_logprob": -0.4838598953498589, "compression_ratio": 1.9144144144144144, "no_speech_prob": 9.179115295410156e-06, "words": [{"start": 866.01, "end": 866.17, "word": "It", "probability": 0.267578125}, {"start": 866.17, "end": 866.21, "word": " is", "probability": 0.462646484375}, {"start": 866.21, "end": 866.43, "word": " clear", "probability": 0.51953125}, {"start": 866.43, "end": 866.71, "word": " that", "probability": 0.88671875}, {"start": 866.71, "end": 867.27, "word": " the", "probability": 0.69140625}, {"start": 867.27, "end": 867.49, "word": " light", "probability": 0.56396484375}, {"start": 867.49, "end": 867.49, "word": " is", "probability": 0.350830078125}, {"start": 867.49, "end": 867.49, "word": " broken.", "probability": 0.74658203125}, {"start": 867.93, "end": 868.21, "word": " But", "probability": 0.56396484375}, {"start": 868.21, "end": 868.47, "word": " the", "probability": 0.307373046875}, {"start": 868.47, "end": 869.01, "word": " shortcoming", "probability": 0.39068603515625}, {"start": 869.01, "end": 869.21, "word": " of", "probability": 0.480712890625}, {"start": 869.21, "end": 869.45, "word": " changing", "probability": 0.521484375}, {"start": 869.45, "end": 869.89, "word": " direction", "probability": 0.595703125}, {"start": 869.89, "end": 870.69, "word": " is", "probability": 0.7275390625}, {"start": 870.69, "end": 870.87, "word": " not", "probability": 0.94287109375}, {"start": 870.87, "end": 871.25, "word": " the", "probability": 0.74560546875}, {"start": 871.25, "end": 872.15, "word": " precise", "probability": 0.467041015625}, {"start": 872.15, "end": 872.17, "word": " definition", "probability": 0.84033203125}, {"start": 872.17, "end": 872.59, "word": " of", "probability": 0.8935546875}, {"start": 872.59, "end": 873.13, "word": " shortcoming.", "probability": 0.75439453125}, {"start": 873.35, "end": 873.35, "word": " The", "probability": 0.69775390625}, {"start": 873.35, "end": 873.41, "word": " precise", "probability": 0.7978515625}, {"start": 873.41, "end": 873.97, "word": " definition", "probability": 0.9326171875}, {"start": 873.97, "end": 874.23, "word": " of", "probability": 0.93896484375}, {"start": 874.23, "end": 874.85, "word": " shortcoming", "probability": 0.943359375}, {"start": 874.85, "end": 875.47, "word": " is", "probability": 0.84814453125}, {"start": 875.47, "end": 875.57, "word": " the", "probability": 0.28369140625}, {"start": 875.57, "end": 875.95, "word": " change", "probability": 0.7412109375}, {"start": 875.95, "end": 876.35, "word": " in", "probability": 0.5810546875}, {"start": 876.35, "end": 876.35, "word": " the", "probability": 0.5419921875}, {"start": 876.35, "end": 876.57, "word": " speed", "probability": 0.78564453125}, {"start": 876.57, "end": 876.89, "word": " of", "probability": 0.94970703125}, {"start": 876.89, "end": 877.29, "word": " light", "probability": 0.74658203125}, {"start": 877.29, "end": 877.75, "word": " when", "probability": 0.3369140625}, {"start": 877.75, "end": 878.03, "word": " it", "probability": 0.65771484375}, {"start": 878.03, "end": 878.41, "word": " enters", "probability": 0.66845703125}, {"start": 878.41, "end": 878.73, "word": " from", "probability": 0.7890625}, {"start": 878.73, "end": 878.93, "word": " one", "probability": 0.76953125}, {"start": 878.93, "end": 879.15, "word": " center", "probability": 0.406982421875}, {"start": 879.15, "end": 879.33, "word": " to", "probability": 0.94287109375}, {"start": 879.33, "end": 879.93, "word": " another", "probability": 0.8505859375}, {"start": 879.93, "end": 879.95, "word": " center.", "probability": 0.37255859375}, {"start": 881.09, "end": 881.53, "word": " This", "probability": 0.59326171875}, {"start": 881.53, "end": 882.65, "word": " change", "probability": 0.8896484375}, {"start": 882.65, "end": 883.33, "word": " in", "probability": 0.37451171875}, {"start": 883.33, "end": 883.89, "word": " direction", "probability": 0.91650390625}, {"start": 883.89, "end": 884.01, "word": " may", "probability": 0.69140625}, {"start": 884.01, "end": 884.01, "word": " or", "probability": 0.48291015625}, {"start": 884.01, "end": 884.39, "word": " may", "probability": 0.97265625}, {"start": 884.39, "end": 884.51, "word": " not", "probability": 0.94091796875}, {"start": 884.51, "end": 884.81, "word": " attract.", "probability": 0.14111328125}, {"start": 884.89, "end": 885.07, "word": " One", "probability": 0.44140625}, {"start": 885.07, "end": 885.15, "word": " may", "probability": 0.3369140625}, {"start": 885.15, "end": 885.53, "word": " say,", "probability": 0.71044921875}, {"start": 885.63, "end": 885.73, "word": " well,", "probability": 0.1221923828125}, {"start": 885.83, "end": 886.01, "word": " how?", "probability": 0.84619140625}, {"start": 886.17, "end": 886.21, "word": " It", "probability": 0.63330078125}, {"start": 886.21, "end": 886.39, "word": " may", "probability": 0.84716796875}, {"start": 886.39, "end": 886.69, "word": " attract", "probability": 0.787109375}, {"start": 886.69, "end": 886.87, "word": " and", "probability": 0.5380859375}, {"start": 886.87, "end": 887.07, "word": " may", "probability": 0.489013671875}, {"start": 887.07, "end": 887.19, "word": " not", "probability": 0.939453125}, {"start": 887.19, "end": 887.53, "word": " attract.", "probability": 0.90380859375}, {"start": 887.93, "end": 888.45, "word": " The", "probability": 0.2431640625}, {"start": 888.45, "end": 888.79, "word": " example", "probability": 0.9580078125}, {"start": 888.79, "end": 888.89, "word": " is", "probability": 0.93408203125}, {"start": 888.89, "end": 888.89, "word": " very", "probability": 0.826171875}, {"start": 888.89, "end": 889.25, "word": " simple.", "probability": 0.94970703125}, {"start": 889.63, "end": 889.79, "word": " Now", "probability": 0.75390625}, {"start": 889.79, "end": 890.01, "word": " this", "probability": 0.67431640625}, {"start": 890.01, "end": 890.37, "word": " light", "probability": 0.875}, {"start": 890.37, "end": 891.21, "word": " is", "probability": 0.2373046875}, {"start": 891.21, "end": 891.33, "word": " coming", "probability": 0.8232421875}, {"start": 891.33, "end": 891.55, "word": " from", "probability": 0.869140625}, {"start": 891.55, "end": 891.71, "word": " the", "probability": 0.8486328125}, {"start": 891.71, "end": 891.91, "word": " air.", "probability": 0.7333984375}], "temperature": 1.0}, {"id": 38, "seek": 91940, "start": 892.96, "end": 919.4, "text": "and passed through the glass without any change in direction. It fell vertically, part of it turned in the same direction, and part of it passed, and part of it passed. So therefore, the most important thing is, is this what I call a shortcoming? Yes, I call it a shortcoming. What is the reason? Because the main thing in defining a shortcoming is that the speed of light changed. The speed of light in the air became slower when it entered the glass or water.", "tokens": [474, 4678, 807, 264, 4276, 1553, 604, 1319, 294, 3513, 13, 467, 5696, 28450, 11, 644, 295, 309, 3574, 294, 264, 912, 3513, 11, 293, 644, 295, 309, 4678, 11, 293, 644, 295, 309, 4678, 13, 407, 4412, 11, 264, 881, 1021, 551, 307, 11, 307, 341, 437, 286, 818, 257, 2099, 6590, 30, 1079, 11, 286, 818, 309, 257, 2099, 6590, 13, 708, 307, 264, 1778, 30, 1436, 264, 2135, 551, 294, 17827, 257, 2099, 6590, 307, 300, 264, 3073, 295, 1442, 3105, 13, 440, 3073, 295, 1442, 294, 264, 1988, 3062, 14009, 562, 309, 9065, 264, 4276, 420, 1281, 13], "avg_logprob": -0.472997586125309, "compression_ratio": 1.8588709677419355, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 892.96, "end": 893.3, "word": "and", "probability": 0.2166748046875}, {"start": 893.3, "end": 893.48, "word": " passed", "probability": 0.2421875}, {"start": 893.48, "end": 893.66, "word": " through", "probability": 0.457275390625}, {"start": 893.66, "end": 893.72, "word": " the", "probability": 0.572265625}, {"start": 893.72, "end": 894.04, "word": " glass", "probability": 0.81640625}, {"start": 894.04, "end": 894.72, "word": " without", "probability": 0.62646484375}, {"start": 894.72, "end": 895.02, "word": " any", "probability": 0.19189453125}, {"start": 895.02, "end": 895.4, "word": " change", "probability": 0.70166015625}, {"start": 895.4, "end": 896.1, "word": " in", "probability": 0.83837890625}, {"start": 896.1, "end": 896.64, "word": " direction.", "probability": 0.470703125}, {"start": 897.18, "end": 897.26, "word": " It", "probability": 0.5576171875}, {"start": 897.26, "end": 897.54, "word": " fell", "probability": 0.55810546875}, {"start": 897.54, "end": 898.16, "word": " vertically,", "probability": 0.89892578125}, {"start": 898.9, "end": 899.76, "word": " part", "probability": 0.350830078125}, {"start": 899.76, "end": 899.92, "word": " of", "probability": 0.9609375}, {"start": 899.92, "end": 900.1, "word": " it", "probability": 0.9365234375}, {"start": 900.1, "end": 900.38, "word": " turned", "probability": 0.2115478515625}, {"start": 900.38, "end": 900.78, "word": " in", "probability": 0.69873046875}, {"start": 900.78, "end": 900.88, "word": " the", "probability": 0.8779296875}, {"start": 900.88, "end": 901.06, "word": " same", "probability": 0.89111328125}, {"start": 901.06, "end": 901.64, "word": " direction,", "probability": 0.9345703125}, {"start": 901.88, "end": 902.12, "word": " and", "probability": 0.91796875}, {"start": 902.12, "end": 902.42, "word": " part", "probability": 0.73291015625}, {"start": 902.42, "end": 902.6, "word": " of", "probability": 0.94970703125}, {"start": 902.6, "end": 902.86, "word": " it", "probability": 0.95166015625}, {"start": 902.86, "end": 903.1, "word": " passed,", "probability": 0.69287109375}, {"start": 903.5, "end": 903.68, "word": " and", "probability": 0.88427734375}, {"start": 903.68, "end": 903.88, "word": " part", "probability": 0.89013671875}, {"start": 903.88, "end": 904.06, "word": " of", "probability": 0.96630859375}, {"start": 904.06, "end": 904.34, "word": " it", "probability": 0.95751953125}, {"start": 904.34, "end": 904.76, "word": " passed.", "probability": 0.8046875}, {"start": 904.9, "end": 905.0, "word": " So", "probability": 0.4853515625}, {"start": 905.0, "end": 905.54, "word": " therefore,", "probability": 0.2274169921875}, {"start": 906.64, "end": 906.72, "word": " the", "probability": 0.611328125}, {"start": 906.72, "end": 906.78, "word": " most", "probability": 0.80419921875}, {"start": 906.78, "end": 907.02, "word": " important", "probability": 0.873046875}, {"start": 907.02, "end": 907.3, "word": " thing", "probability": 0.80859375}, {"start": 907.3, "end": 907.62, "word": " is,", "probability": 0.2479248046875}, {"start": 907.62, "end": 907.78, "word": " is", "probability": 0.12384033203125}, {"start": 907.78, "end": 908.08, "word": " this", "probability": 0.6064453125}, {"start": 908.08, "end": 908.08, "word": " what", "probability": 0.5849609375}, {"start": 908.08, "end": 908.24, "word": " I", "probability": 0.9716796875}, {"start": 908.24, "end": 908.44, "word": " call", "probability": 0.85546875}, {"start": 908.44, "end": 908.56, "word": " a", "probability": 0.56201171875}, {"start": 908.56, "end": 908.72, "word": " shortcoming?", "probability": 0.4874267578125}, {"start": 908.94, "end": 909.12, "word": " Yes,", "probability": 0.880859375}, {"start": 909.22, "end": 909.34, "word": " I", "probability": 0.5810546875}, {"start": 909.34, "end": 909.48, "word": " call", "probability": 0.8544921875}, {"start": 909.48, "end": 909.62, "word": " it", "probability": 0.8583984375}, {"start": 909.62, "end": 909.7, "word": " a", "probability": 0.8759765625}, {"start": 909.7, "end": 909.88, "word": " shortcoming.", "probability": 0.95166015625}, {"start": 910.0, "end": 910.12, "word": " What", "probability": 0.54931640625}, {"start": 910.12, "end": 910.16, "word": " is", "probability": 0.62109375}, {"start": 910.16, "end": 910.28, "word": " the", "probability": 0.90673828125}, {"start": 910.28, "end": 910.5, "word": " reason?", "probability": 0.958984375}, {"start": 910.78, "end": 911.1, "word": " Because", "probability": 0.86181640625}, {"start": 911.1, "end": 911.3, "word": " the", "probability": 0.853515625}, {"start": 911.3, "end": 911.3, "word": " main", "probability": 0.87060546875}, {"start": 911.3, "end": 912.08, "word": " thing", "probability": 0.7978515625}, {"start": 912.08, "end": 912.24, "word": " in", "probability": 0.8388671875}, {"start": 912.24, "end": 912.58, "word": " defining", "probability": 0.44873046875}, {"start": 912.58, "end": 912.74, "word": " a", "probability": 0.6572265625}, {"start": 912.74, "end": 913.16, "word": " shortcoming", "probability": 0.93017578125}, {"start": 913.16, "end": 913.38, "word": " is", "probability": 0.51171875}, {"start": 913.38, "end": 913.86, "word": " that", "probability": 0.7275390625}, {"start": 913.86, "end": 914.1, "word": " the", "probability": 0.69189453125}, {"start": 914.1, "end": 914.74, "word": " speed", "probability": 0.66015625}, {"start": 914.74, "end": 914.98, "word": " of", "probability": 0.94482421875}, {"start": 914.98, "end": 915.2, "word": " light", "probability": 0.77783203125}, {"start": 915.2, "end": 915.2, "word": " changed.", "probability": 0.2998046875}, {"start": 915.32, "end": 915.34, "word": " The", "probability": 0.486083984375}, {"start": 915.34, "end": 915.5, "word": " speed", "probability": 0.52001953125}, {"start": 915.5, "end": 915.5, "word": " of", "probability": 0.94140625}, {"start": 915.5, "end": 915.5, "word": " light", "probability": 0.828125}, {"start": 915.5, "end": 915.62, "word": " in", "probability": 0.79638671875}, {"start": 915.62, "end": 915.7, "word": " the", "probability": 0.72314453125}, {"start": 915.7, "end": 915.96, "word": " air", "probability": 0.77587890625}, {"start": 915.96, "end": 916.98, "word": " became", "probability": 0.27099609375}, {"start": 916.98, "end": 916.98, "word": " slower", "probability": 0.7392578125}, {"start": 916.98, "end": 917.58, "word": " when", "probability": 0.43115234375}, {"start": 917.58, "end": 917.58, "word": " it", "probability": 0.475341796875}, {"start": 917.58, "end": 917.58, "word": " entered", "probability": 0.68798828125}, {"start": 917.58, "end": 917.94, "word": " the", "probability": 0.681640625}, {"start": 917.94, "end": 918.4, "word": " glass", "probability": 0.88671875}, {"start": 918.4, "end": 918.66, "word": " or", "probability": 0.90966796875}, {"start": 918.66, "end": 919.4, "word": " water.", "probability": 0.450439453125}], "temperature": 1.0}, {"id": 39, "seek": 92843, "start": 920.65, "end": 928.43, "text": "It is known that light is faster in vacuum or air than any other substance or medium. So it changes the speed of light.", "tokens": [3522, 307, 2570, 300, 1442, 307, 4663, 294, 14224, 420, 1988, 813, 604, 661, 12961, 420, 6399, 13, 407, 309, 2962, 264, 3073, 295, 1442, 13], "avg_logprob": -0.5370370193764016, "compression_ratio": 1.2142857142857142, "no_speech_prob": 3.170967102050781e-05, "words": [{"start": 920.65, "end": 920.83, "word": "It", "probability": 0.42724609375}, {"start": 920.83, "end": 920.87, "word": " is", "probability": 0.64990234375}, {"start": 920.87, "end": 921.05, "word": " known", "probability": 0.58203125}, {"start": 921.05, "end": 921.31, "word": " that", "probability": 0.9091796875}, {"start": 921.31, "end": 921.49, "word": " light", "probability": 0.431884765625}, {"start": 921.49, "end": 921.65, "word": " is", "probability": 0.323974609375}, {"start": 921.65, "end": 921.65, "word": " faster", "probability": 0.77001953125}, {"start": 921.65, "end": 921.65, "word": " in", "probability": 0.5703125}, {"start": 921.65, "end": 922.05, "word": " vacuum", "probability": 0.4619140625}, {"start": 922.05, "end": 922.23, "word": " or", "probability": 0.361083984375}, {"start": 922.23, "end": 922.57, "word": " air", "probability": 0.69384765625}, {"start": 922.57, "end": 923.21, "word": " than", "probability": 0.77294921875}, {"start": 923.21, "end": 923.73, "word": " any", "probability": 0.52197265625}, {"start": 923.73, "end": 924.19, "word": " other", "probability": 0.6494140625}, {"start": 924.19, "end": 924.19, "word": " substance", "probability": 0.35595703125}, {"start": 924.19, "end": 924.49, "word": " or", "probability": 0.88623046875}, {"start": 924.49, "end": 925.19, "word": " medium.", "probability": 0.8232421875}, {"start": 926.15, "end": 926.61, "word": " So", "probability": 0.58349609375}, {"start": 926.61, "end": 926.77, "word": " it", "probability": 0.232421875}, {"start": 926.77, "end": 927.43, "word": " changes", "probability": 0.37646484375}, {"start": 927.43, "end": 927.57, "word": " the", "probability": 0.76220703125}, {"start": 927.57, "end": 927.77, "word": " speed", "probability": 0.84814453125}, {"start": 927.77, "end": 928.07, "word": " of", "probability": 0.96630859375}, {"start": 928.07, "end": 928.43, "word": " light.", "probability": 0.82470703125}], "temperature": 1.0}, {"id": 40, "seek": 95216, "start": 930.22, "end": 952.16, "text": "abrupted change, تغير مفاجئ لسرعته الضوء that in turn و اللي بدوره ممكن usually غالبا بيكون في abrupt change in direction تغير بس مش دائما usually غالبا بتغير اتجاهه ايضا مع تغير سرعته و في قلة من المواقف مابتغيرش", "tokens": [455, 5428, 292, 1319, 11, 6055, 17082, 13546, 3714, 5172, 26108, 19986, 5296, 3794, 2288, 34268, 3224, 6024, 114, 2407, 38207, 300, 294, 1261, 4032, 13672, 1829, 47525, 13063, 3224, 3714, 43020, 2673, 32771, 6027, 3555, 995, 4724, 1829, 30544, 8978, 33401, 1319, 294, 3513, 6055, 17082, 13546, 4724, 3794, 37893, 11778, 16373, 15042, 2673, 32771, 6027, 3555, 995, 39894, 17082, 13546, 1975, 2655, 7435, 40294, 3224, 1975, 1829, 11242, 995, 20449, 6055, 17082, 13546, 8608, 2288, 34268, 3224, 4032, 8978, 12174, 37977, 9154, 9673, 14407, 4587, 5172, 3714, 16758, 2655, 17082, 13546, 8592], "avg_logprob": -0.16307566103182342, "compression_ratio": 1.613861386138614, "no_speech_prob": 1.1026859283447266e-05, "words": [{"start": 930.22, "end": 931.02, "word": "abrupted", "probability": 0.84130859375}, {"start": 931.02, "end": 931.5, "word": " change,", "probability": 0.90576171875}, {"start": 931.72, "end": 932.2, "word": " تغير", "probability": 0.5804646809895834}, {"start": 932.2, "end": 932.78, "word": " مفاجئ", "probability": 0.935546875}, {"start": 932.78, "end": 933.4, "word": " لسرعته", "probability": 0.82958984375}, {"start": 933.4, "end": 933.9, "word": " الضوء", "probability": 0.78009033203125}, {"start": 933.9, "end": 934.68, "word": " that", "probability": 0.7509765625}, {"start": 934.68, "end": 935.08, "word": " in", "probability": 0.9033203125}, {"start": 935.08, "end": 935.4, "word": " turn", "probability": 0.806640625}, {"start": 935.4, "end": 935.54, "word": " و", "probability": 0.454345703125}, {"start": 935.54, "end": 935.66, "word": " اللي", "probability": 0.800537109375}, {"start": 935.66, "end": 936.14, "word": " بدوره", "probability": 0.9501953125}, {"start": 936.14, "end": 936.8, "word": " ممكن", "probability": 0.9873046875}, {"start": 936.8, "end": 937.86, "word": " usually", "probability": 0.865234375}, {"start": 937.86, "end": 938.66, "word": " غالبا", "probability": 0.880859375}, {"start": 938.66, "end": 939.2, "word": " بيكون", "probability": 0.8933919270833334}, {"start": 939.2, "end": 939.48, "word": " في", "probability": 0.86328125}, {"start": 939.48, "end": 939.92, "word": " abrupt", "probability": 0.70654296875}, {"start": 939.92, "end": 940.54, "word": " change", "probability": 0.495361328125}, {"start": 940.54, "end": 940.76, "word": " in", "probability": 0.958984375}, {"start": 940.76, "end": 941.26, "word": " direction", "probability": 0.96728515625}, {"start": 941.26, "end": 942.08, "word": " تغير", "probability": 0.9269205729166666}, {"start": 942.08, "end": 942.34, "word": " بس", "probability": 0.96630859375}, {"start": 942.34, "end": 942.68, "word": " مش", "probability": 0.99169921875}, {"start": 942.68, "end": 943.14, "word": " دائما", "probability": 0.955078125}, {"start": 943.14, "end": 943.62, "word": " usually", "probability": 0.482421875}, {"start": 943.62, "end": 944.56, "word": " غالبا", "probability": 0.9801025390625}, {"start": 944.56, "end": 945.06, "word": " بتغير", "probability": 0.9529622395833334}, {"start": 945.06, "end": 945.62, "word": " اتجاهه", "probability": 0.976171875}, {"start": 945.62, "end": 946.06, "word": " ايضا", "probability": 0.905029296875}, {"start": 946.06, "end": 946.34, "word": " مع", "probability": 0.9697265625}, {"start": 946.34, "end": 946.72, "word": " تغير", "probability": 0.9908854166666666}, {"start": 946.72, "end": 947.32, "word": " سرعته", "probability": 0.98681640625}, {"start": 947.32, "end": 948.28, "word": " و", "probability": 0.84814453125}, {"start": 948.28, "end": 950.02, "word": " في", "probability": 0.701171875}, {"start": 950.02, "end": 950.36, "word": " قلة", "probability": 0.82177734375}, {"start": 950.36, "end": 950.56, "word": " من", "probability": 0.98779296875}, {"start": 950.56, "end": 951.24, "word": " المواقف", "probability": 0.9730224609375}, {"start": 951.24, "end": 952.16, "word": " مابتغيرش", "probability": 0.9366048177083334}], "temperature": 1.0}, {"id": 41, "seek": 96694, "start": 952.44, "end": 966.94, "text": "الاتجاه زي حالة السقوط العمودي اللي احنا عرضناها قبل شوية Now if there's no vertical drop to the light, yes here it changed in speed when the glass entered coming from the air and changed in direction as well", "tokens": [6027, 9307, 7435, 40294, 30767, 1829, 11331, 6027, 3660, 21136, 4587, 2407, 9566, 18863, 2304, 2407, 16254, 13672, 1829, 1975, 5016, 8315, 6225, 43042, 8315, 11296, 12174, 36150, 13412, 2407, 10632, 823, 498, 456, 311, 572, 9429, 3270, 281, 264, 1442, 11, 2086, 510, 309, 3105, 294, 3073, 562, 264, 4276, 9065, 1348, 490, 264, 1988, 293, 3105, 294, 3513, 382, 731], "avg_logprob": -0.34151784673569696, "compression_ratio": 1.3264248704663213, "no_speech_prob": 2.282857894897461e-05, "words": [{"start": 952.44, "end": 953.42, "word": "الاتجاه", "probability": 0.7652740478515625}, {"start": 953.42, "end": 953.82, "word": " زي", "probability": 0.848388671875}, {"start": 953.82, "end": 954.38, "word": " حالة", "probability": 0.994140625}, {"start": 954.38, "end": 954.94, "word": " السقوط", "probability": 0.951416015625}, {"start": 954.94, "end": 955.4, "word": " العمودي", "probability": 0.983154296875}, {"start": 955.4, "end": 955.52, "word": " اللي", "probability": 0.891845703125}, {"start": 955.52, "end": 955.72, "word": " احنا", "probability": 0.8782552083333334}, {"start": 955.72, "end": 956.2, "word": " عرضناها", "probability": 0.94677734375}, {"start": 956.2, "end": 956.46, "word": " قبل", "probability": 0.945068359375}, {"start": 956.46, "end": 956.88, "word": " شوية", "probability": 0.9708658854166666}, {"start": 956.88, "end": 957.52, "word": " Now", "probability": 0.367919921875}, {"start": 957.52, "end": 957.78, "word": " if", "probability": 0.70703125}, {"start": 957.78, "end": 957.98, "word": " there's", "probability": 0.654296875}, {"start": 957.98, "end": 958.08, "word": " no", "probability": 0.7412109375}, {"start": 958.08, "end": 958.68, "word": " vertical", "probability": 0.86328125}, {"start": 958.68, "end": 958.74, "word": " drop", "probability": 0.3017578125}, {"start": 958.74, "end": 958.98, "word": " to", "probability": 0.32666015625}, {"start": 958.98, "end": 959.06, "word": " the", "probability": 0.419921875}, {"start": 959.06, "end": 959.26, "word": " light,", "probability": 0.65576171875}, {"start": 959.7, "end": 959.7, "word": " yes", "probability": 0.3427734375}, {"start": 959.7, "end": 960.0, "word": " here", "probability": 0.56884765625}, {"start": 960.0, "end": 960.16, "word": " it", "probability": 0.595703125}, {"start": 960.16, "end": 960.5, "word": " changed", "probability": 0.6513671875}, {"start": 960.5, "end": 960.72, "word": " in", "probability": 0.6484375}, {"start": 960.72, "end": 961.08, "word": " speed", "probability": 0.8134765625}, {"start": 961.08, "end": 961.78, "word": " when", "probability": 0.91357421875}, {"start": 961.78, "end": 962.62, "word": " the", "probability": 0.82470703125}, {"start": 962.62, "end": 963.04, "word": " glass", "probability": 0.6630859375}, {"start": 963.04, "end": 963.12, "word": " entered", "probability": 0.3935546875}, {"start": 963.12, "end": 964.02, "word": " coming", "probability": 0.2705078125}, {"start": 964.02, "end": 964.38, "word": " from", "probability": 0.84130859375}, {"start": 964.38, "end": 964.54, "word": " the", "probability": 0.91015625}, {"start": 964.54, "end": 964.72, "word": " air", "probability": 0.54638671875}, {"start": 964.72, "end": 965.0, "word": " and", "probability": 0.8349609375}, {"start": 965.0, "end": 965.56, "word": " changed", "probability": 0.591796875}, {"start": 965.56, "end": 965.7, "word": " in", "probability": 0.833984375}, {"start": 965.7, "end": 966.28, "word": " direction", "probability": 0.68017578125}, {"start": 966.28, "end": 966.88, "word": " as", "probability": 0.375}, {"start": 966.88, "end": 966.94, "word": " well", "probability": 0.9453125}], "temperature": 1.0}, {"id": 42, "seek": 99912, "start": 970.48, "end": 999.12, "text": "The Law of Refraction, also known as Snell's Law, in honor of its discoverer, states that the refracted or transmitted ray lies in the same plane as the incident ray and the surface normal and that Ni sine theta I", "tokens": [2278, 7744, 295, 16957, 26766, 11, 611, 2570, 382, 318, 8903, 311, 7744, 11, 294, 5968, 295, 1080, 4411, 260, 11, 4368, 300, 264, 45353, 292, 420, 25355, 18592, 9134, 294, 264, 912, 5720, 382, 264, 9348, 18592, 293, 264, 3753, 2710, 293, 300, 12370, 18609, 9725, 286], "avg_logprob": -0.27630740769055423, "compression_ratio": 1.4489795918367347, "no_speech_prob": 1.1920928955078125e-06, "words": [{"start": 970.48, "end": 970.78, "word": "The", "probability": 0.57373046875}, {"start": 970.78, "end": 970.98, "word": " Law", "probability": 0.46484375}, {"start": 970.98, "end": 971.18, "word": " of", "probability": 0.92529296875}, {"start": 971.18, "end": 971.8, "word": " Refraction,", "probability": 0.924560546875}, {"start": 974.28, "end": 974.52, "word": " also", "probability": 0.409423828125}, {"start": 974.52, "end": 974.96, "word": " known", "probability": 0.75390625}, {"start": 974.96, "end": 975.34, "word": " as", "probability": 0.9716796875}, {"start": 975.34, "end": 975.98, "word": " Snell's", "probability": 0.7963053385416666}, {"start": 975.98, "end": 976.22, "word": " Law,", "probability": 0.6767578125}, {"start": 976.82, "end": 977.0, "word": " in", "probability": 0.89892578125}, {"start": 977.0, "end": 978.0, "word": " honor", "probability": 0.443359375}, {"start": 978.0, "end": 978.34, "word": " of", "probability": 0.97216796875}, {"start": 978.34, "end": 978.6, "word": " its", "probability": 0.853515625}, {"start": 978.6, "end": 979.34, "word": " discoverer,", "probability": 0.913818359375}, {"start": 981.86, "end": 982.56, "word": " states", "probability": 0.54296875}, {"start": 982.56, "end": 983.9, "word": " that", "probability": 0.9365234375}, {"start": 983.9, "end": 984.7, "word": " the", "probability": 0.491455078125}, {"start": 984.7, "end": 985.4, "word": " refracted", "probability": 0.8818359375}, {"start": 985.4, "end": 985.58, "word": " or", "probability": 0.884765625}, {"start": 985.58, "end": 986.32, "word": " transmitted", "probability": 0.93408203125}, {"start": 986.32, "end": 986.76, "word": " ray", "probability": 0.931640625}, {"start": 986.76, "end": 987.88, "word": " lies", "probability": 0.89794921875}, {"start": 987.88, "end": 988.12, "word": " in", "probability": 0.9296875}, {"start": 988.12, "end": 988.28, "word": " the", "probability": 0.92919921875}, {"start": 988.28, "end": 988.54, "word": " same", "probability": 0.861328125}, {"start": 988.54, "end": 989.02, "word": " plane", "probability": 0.91455078125}, {"start": 989.02, "end": 989.44, "word": " as", "probability": 0.9541015625}, {"start": 989.44, "end": 989.62, "word": " the", "probability": 0.888671875}, {"start": 989.62, "end": 990.08, "word": " incident", "probability": 0.9609375}, {"start": 990.08, "end": 990.54, "word": " ray", "probability": 0.95947265625}, {"start": 990.54, "end": 992.22, "word": " and", "probability": 0.76171875}, {"start": 992.22, "end": 992.38, "word": " the", "probability": 0.63037109375}, {"start": 992.38, "end": 992.74, "word": " surface", "probability": 0.84375}, {"start": 992.74, "end": 993.28, "word": " normal", "probability": 0.8662109375}, {"start": 993.28, "end": 993.94, "word": " and", "probability": 0.59033203125}, {"start": 993.94, "end": 994.3, "word": " that", "probability": 0.92529296875}, {"start": 994.3, "end": 996.88, "word": " Ni", "probability": 0.5185546875}, {"start": 996.88, "end": 998.26, "word": " sine", "probability": 0.266845703125}, {"start": 998.26, "end": 998.66, "word": " theta", "probability": 0.697265625}, {"start": 998.66, "end": 999.12, "word": " I", "probability": 0.61865234375}], "temperature": 1.0}, {"id": 43, "seek": 102478, "start": 999.52, "end": 1024.78, "text": "is equal to NT sine theta T NI is the reduction factor for the incident medium sine theta I is the angle of incidence NT is the reduction factor for the transmitted medium sine theta T is the angle of incidence in the angle of transmission", "tokens": [271, 2681, 281, 43452, 18609, 9725, 314, 18482, 307, 264, 11004, 5952, 337, 264, 9348, 6399, 18609, 9725, 286, 307, 264, 5802, 295, 41726, 43452, 307, 264, 11004, 5952, 337, 264, 25355, 6399, 18609, 9725, 314, 307, 264, 5802, 295, 41726, 294, 264, 5802, 295, 11574], "avg_logprob": -0.5239361473854552, "compression_ratio": 2.0964912280701755, "no_speech_prob": 5.781650543212891e-06, "words": [{"start": 999.52, "end": 999.8, "word": "is", "probability": 0.054443359375}, {"start": 999.8, "end": 1000.2, "word": " equal", "probability": 0.55810546875}, {"start": 1000.2, "end": 1000.32, "word": " to", "probability": 0.951171875}, {"start": 1000.32, "end": 1000.88, "word": " NT", "probability": 0.4833984375}, {"start": 1000.88, "end": 1001.86, "word": " sine", "probability": 0.25048828125}, {"start": 1001.86, "end": 1002.34, "word": " theta", "probability": 0.80615234375}, {"start": 1002.34, "end": 1002.84, "word": " T", "probability": 0.8017578125}, {"start": 1002.84, "end": 1003.9, "word": " NI", "probability": 0.57470703125}, {"start": 1003.9, "end": 1004.38, "word": " is", "probability": 0.38720703125}, {"start": 1004.38, "end": 1004.42, "word": " the", "probability": 0.6943359375}, {"start": 1004.42, "end": 1005.32, "word": " reduction", "probability": 0.0229034423828125}, {"start": 1005.32, "end": 1005.54, "word": " factor", "probability": 0.81982421875}, {"start": 1005.54, "end": 1005.74, "word": " for", "probability": 0.51416015625}, {"start": 1005.74, "end": 1005.82, "word": " the", "probability": 0.505859375}, {"start": 1005.82, "end": 1006.2, "word": " incident", "probability": 0.9072265625}, {"start": 1006.2, "end": 1006.78, "word": " medium", "probability": 0.93994140625}, {"start": 1006.78, "end": 1008.34, "word": " sine", "probability": 0.3037109375}, {"start": 1008.34, "end": 1008.72, "word": " theta", "probability": 0.8525390625}, {"start": 1008.72, "end": 1009.28, "word": " I", "probability": 0.943359375}, {"start": 1009.28, "end": 1009.6, "word": " is", "probability": 0.67041015625}, {"start": 1009.6, "end": 1009.72, "word": " the", "probability": 0.71435546875}, {"start": 1009.72, "end": 1009.98, "word": " angle", "probability": 0.185302734375}, {"start": 1009.98, "end": 1010.32, "word": " of", "probability": 0.888671875}, {"start": 1010.32, "end": 1010.32, "word": " incidence", "probability": 0.3984375}, {"start": 1010.32, "end": 1012.64, "word": " NT", "probability": 0.84326171875}, {"start": 1012.64, "end": 1013.44, "word": " is", "probability": 0.77001953125}, {"start": 1013.44, "end": 1013.64, "word": " the", "probability": 0.875}, {"start": 1013.64, "end": 1014.58, "word": " reduction", "probability": 0.87939453125}, {"start": 1014.58, "end": 1014.82, "word": " factor", "probability": 0.8935546875}, {"start": 1014.82, "end": 1015.0, "word": " for", "probability": 0.798828125}, {"start": 1015.0, "end": 1015.12, "word": " the", "probability": 0.81591796875}, {"start": 1015.12, "end": 1015.64, "word": " transmitted", "probability": 0.97314453125}, {"start": 1015.64, "end": 1016.14, "word": " medium", "probability": 0.93310546875}, {"start": 1016.14, "end": 1020.34, "word": " sine", "probability": 0.5986328125}, {"start": 1020.34, "end": 1020.88, "word": " theta", "probability": 0.8916015625}, {"start": 1020.88, "end": 1021.14, "word": " T", "probability": 0.94482421875}, {"start": 1021.14, "end": 1021.28, "word": " is", "probability": 0.8271484375}, {"start": 1021.28, "end": 1021.38, "word": " the", "probability": 0.82763671875}, {"start": 1021.38, "end": 1021.92, "word": " angle", "probability": 0.515625}, {"start": 1021.92, "end": 1022.3, "word": " of", "probability": 0.9580078125}, {"start": 1022.3, "end": 1022.68, "word": " incidence", "probability": 0.68798828125}, {"start": 1022.68, "end": 1023.0, "word": " in", "probability": 0.277099609375}, {"start": 1023.0, "end": 1023.2, "word": " the", "probability": 0.7333984375}, {"start": 1023.2, "end": 1023.6, "word": " angle", "probability": 0.5888671875}, {"start": 1023.6, "end": 1024.1, "word": " of", "probability": 0.9560546875}, {"start": 1024.1, "end": 1024.78, "word": " transmission", "probability": 0.837890625}], "temperature": 1.0}, {"id": 44, "seek": 105383, "start": 1029.09, "end": 1053.83, "text": "When light travels from a medium of lower refractive index to a medium of higher refractive index, it bends toward the normal. When light travels from a medium of lower refractive index to a medium of higher refractive index, it bends toward the normal. When light travels from a medium of lower refractive index to a medium of higher refractive index, it bends toward the normal.", "tokens": [11645, 1442, 19863, 490, 257, 6399, 295, 3126, 45353, 488, 8186, 281, 257, 6399, 295, 2946, 45353, 488, 8186, 11, 309, 42990, 7361, 264, 2710, 13, 1133, 1442, 19863, 490, 257, 6399, 295, 3126, 45353, 488, 8186, 281, 257, 6399, 295, 2946, 45353, 488, 8186, 11, 309, 42990, 7361, 264, 2710, 13, 1133, 1442, 19863, 490, 257, 6399, 295, 3126, 45353, 488, 8186, 281, 257, 6399, 295, 2946, 45353, 488, 8186, 11, 309, 42990, 7361, 264, 2710, 13], "avg_logprob": -0.1792919277390347, "compression_ratio": 4.0, "no_speech_prob": 3.4570693969726562e-06, "words": [{"start": 1029.09, "end": 1029.37, "word": "When", "probability": 0.46484375}, {"start": 1029.37, "end": 1029.95, "word": " light", "probability": 0.87353515625}, {"start": 1029.95, "end": 1031.25, "word": " travels", "probability": 0.74560546875}, {"start": 1031.25, "end": 1031.59, "word": " from", "probability": 0.890625}, {"start": 1031.59, "end": 1031.87, "word": " a", "probability": 0.97216796875}, {"start": 1031.87, "end": 1032.25, "word": " medium", "probability": 0.9384765625}, {"start": 1032.25, "end": 1032.57, "word": " of", "probability": 0.94384765625}, {"start": 1032.57, "end": 1032.99, "word": " lower", "probability": 0.7578125}, {"start": 1032.99, "end": 1033.69, "word": " refractive", "probability": 0.931396484375}, {"start": 1033.69, "end": 1034.09, "word": " index", "probability": 0.8896484375}, {"start": 1034.09, "end": 1034.31, "word": " to", "probability": 0.875}, {"start": 1034.31, "end": 1034.53, "word": " a", "probability": 0.97314453125}, {"start": 1034.53, "end": 1034.83, "word": " medium", "probability": 0.9453125}, {"start": 1034.83, "end": 1035.13, "word": " of", "probability": 0.96533203125}, {"start": 1035.13, "end": 1035.43, "word": " higher", "probability": 0.83935546875}, {"start": 1035.43, "end": 1036.05, "word": " refractive", "probability": 0.9443359375}, {"start": 1036.05, "end": 1036.59, "word": " index,", "probability": 0.8720703125}, {"start": 1037.07, "end": 1037.43, "word": " it", "probability": 0.91552734375}, {"start": 1037.43, "end": 1037.89, "word": " bends", "probability": 0.94384765625}, {"start": 1037.89, "end": 1038.41, "word": " toward", "probability": 0.30712890625}, {"start": 1038.41, "end": 1038.69, "word": " the", "probability": 0.84326171875}, {"start": 1038.69, "end": 1039.07, "word": " normal.", "probability": 0.857421875}, {"start": 1043.49, "end": 1044.25, "word": " When", "probability": 0.23388671875}, {"start": 1044.25, "end": 1046.75, "word": " light", "probability": 0.7431640625}, {"start": 1046.75, "end": 1048.57, "word": " travels", "probability": 0.52099609375}, {"start": 1048.57, "end": 1048.77, "word": " from", "probability": 0.89208984375}, {"start": 1048.77, "end": 1048.99, "word": " a", "probability": 0.99267578125}, {"start": 1048.99, "end": 1049.23, "word": " medium", "probability": 0.96435546875}, {"start": 1049.23, "end": 1049.95, "word": " of", "probability": 0.97265625}, {"start": 1049.95, "end": 1050.03, "word": " lower", "probability": 0.7705078125}, {"start": 1050.03, "end": 1050.59, "word": " refractive", "probability": 0.953369140625}, {"start": 1050.59, "end": 1051.01, "word": " index", "probability": 0.837890625}, {"start": 1051.01, "end": 1051.01, "word": " to", "probability": 0.97509765625}, {"start": 1051.01, "end": 1051.01, "word": " a", "probability": 0.99853515625}, {"start": 1051.01, "end": 1051.01, "word": " medium", "probability": 0.96044921875}, {"start": 1051.01, "end": 1051.01, "word": " of", "probability": 0.974609375}, {"start": 1051.01, "end": 1051.01, "word": " higher", "probability": 0.89990234375}, {"start": 1051.01, "end": 1051.01, "word": " refractive", "probability": 0.94091796875}, {"start": 1051.01, "end": 1051.01, "word": " index,", "probability": 0.86181640625}, {"start": 1051.29, "end": 1051.29, "word": " it", "probability": 0.955078125}, {"start": 1051.29, "end": 1051.29, "word": " bends", "probability": 0.93505859375}, {"start": 1051.29, "end": 1051.29, "word": " toward", "probability": 0.85498046875}, {"start": 1051.29, "end": 1051.29, "word": " the", "probability": 0.9169921875}, {"start": 1051.29, "end": 1051.29, "word": " normal.", "probability": 0.85986328125}, {"start": 1051.29, "end": 1051.55, "word": " When", "probability": 0.32861328125}, {"start": 1051.55, "end": 1051.55, "word": " light", "probability": 0.8662109375}, {"start": 1051.55, "end": 1051.55, "word": " travels", "probability": 0.77099609375}, {"start": 1051.55, "end": 1051.55, "word": " from", "probability": 0.890625}, {"start": 1051.55, "end": 1051.87, "word": " a", "probability": 0.99658203125}, {"start": 1051.87, "end": 1051.87, "word": " medium", "probability": 0.96728515625}, {"start": 1051.87, "end": 1051.87, "word": " of", "probability": 0.97705078125}, {"start": 1051.87, "end": 1051.89, "word": " lower", "probability": 0.7060546875}, {"start": 1051.89, "end": 1052.47, "word": " refractive", "probability": 0.9453125}, {"start": 1052.47, "end": 1052.79, "word": " index", "probability": 0.84033203125}, {"start": 1052.79, "end": 1053.83, "word": " to", "probability": 0.9755859375}, {"start": 1053.83, "end": 1053.83, "word": " a", "probability": 0.9990234375}, {"start": 1053.83, "end": 1053.83, "word": " medium", "probability": 0.9580078125}, {"start": 1053.83, "end": 1053.83, "word": " of", "probability": 0.97509765625}, {"start": 1053.83, "end": 1053.83, "word": " higher", "probability": 0.90478515625}, {"start": 1053.83, "end": 1053.83, "word": " refractive", "probability": 0.9365234375}, {"start": 1053.83, "end": 1053.83, "word": " index,", "probability": 0.84912109375}, {"start": 1053.83, "end": 1053.83, "word": " it", "probability": 0.9560546875}, {"start": 1053.83, "end": 1053.83, "word": " bends", "probability": 0.93603515625}, {"start": 1053.83, "end": 1053.83, "word": " toward", "probability": 0.8642578125}, {"start": 1053.83, "end": 1053.83, "word": " the", "probability": 0.92578125}, {"start": 1053.83, "end": 1053.83, "word": " normal.", "probability": 0.859375}], "temperature": 1.0}, {"id": 45, "seek": 105988, "start": 1053.94, "end": 1059.88, "text": "For a substance higher than the refractive index, which is like glass, around 1.5", "tokens": [12587, 257, 12961, 2946, 813, 264, 45353, 488, 8186, 11, 597, 307, 411, 4276, 11, 926, 502, 13, 20], "avg_logprob": -0.6156249731779099, "compression_ratio": 1.0253164556962024, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1053.94, "end": 1054.24, "word": "For", "probability": 0.1341552734375}, {"start": 1054.24, "end": 1054.44, "word": " a", "probability": 0.56201171875}, {"start": 1054.44, "end": 1054.58, "word": " substance", "probability": 0.2861328125}, {"start": 1054.58, "end": 1054.98, "word": " higher", "probability": 0.350341796875}, {"start": 1054.98, "end": 1055.26, "word": " than", "probability": 0.92578125}, {"start": 1055.26, "end": 1055.5, "word": " the", "probability": 0.40576171875}, {"start": 1055.5, "end": 1056.1, "word": " refractive", "probability": 0.934814453125}, {"start": 1056.1, "end": 1056.58, "word": " index,", "probability": 0.947265625}, {"start": 1057.24, "end": 1057.82, "word": " which", "probability": 0.422607421875}, {"start": 1057.82, "end": 1058.06, "word": " is", "probability": 0.83984375}, {"start": 1058.06, "end": 1058.16, "word": " like", "probability": 0.4814453125}, {"start": 1058.16, "end": 1058.62, "word": " glass,", "probability": 0.499267578125}, {"start": 1058.76, "end": 1059.06, "word": " around", "probability": 0.163330078125}, {"start": 1059.06, "end": 1059.36, "word": " 1", "probability": 0.708984375}, {"start": 1059.36, "end": 1059.88, "word": ".5", "probability": 0.923583984375}], "temperature": 1.0}, {"id": 46, "seek": 108895, "start": 1061.25, "end": 1088.95, "text": "So, it moves from the middle, which is less than the refractive index, to the middle, which is higher than the refractive index. Its contraction is towards the service normal. So, it approaches the service normal. So, the angle of contraction or the angle of passage is smaller than the angle of fall. So, it approaches the service normal. So, if we reflect the situation that it moves from the glass, for example, to the air,", "tokens": [6455, 11, 309, 6067, 490, 264, 2808, 11, 597, 307, 1570, 813, 264, 45353, 488, 8186, 11, 281, 264, 2808, 11, 597, 307, 2946, 813, 264, 45353, 488, 8186, 13, 6953, 37372, 307, 3030, 264, 2643, 2710, 13, 407, 11, 309, 11587, 264, 2643, 2710, 13, 407, 11, 264, 5802, 295, 37372, 420, 264, 5802, 295, 11497, 307, 4356, 813, 264, 5802, 295, 2100, 13, 407, 11, 309, 11587, 264, 2643, 2710, 13, 407, 11, 498, 321, 5031, 264, 2590, 300, 309, 6067, 490, 264, 4276, 11, 337, 1365, 11, 281, 264, 1988, 11], "avg_logprob": -0.4657894623906989, "compression_ratio": 2.27807486631016, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 1061.25, "end": 1061.59, "word": "So,", "probability": 0.382568359375}, {"start": 1061.73, "end": 1061.73, "word": " it", "probability": 0.6572265625}, {"start": 1061.73, "end": 1062.05, "word": " moves", "probability": 0.44580078125}, {"start": 1062.05, "end": 1062.29, "word": " from", "probability": 0.8251953125}, {"start": 1062.29, "end": 1062.73, "word": " the", "probability": 0.64794921875}, {"start": 1062.73, "end": 1062.75, "word": " middle,", "probability": 0.5732421875}, {"start": 1062.97, "end": 1063.09, "word": " which", "probability": 0.457763671875}, {"start": 1063.09, "end": 1063.09, "word": " is", "probability": 0.9189453125}, {"start": 1063.09, "end": 1063.33, "word": " less", "probability": 0.32177734375}, {"start": 1063.33, "end": 1063.47, "word": " than", "probability": 0.62158203125}, {"start": 1063.47, "end": 1063.55, "word": " the", "probability": 0.6630859375}, {"start": 1063.55, "end": 1064.11, "word": " refractive", "probability": 0.927001953125}, {"start": 1064.11, "end": 1064.53, "word": " index,", "probability": 0.94140625}, {"start": 1064.57, "end": 1064.71, "word": " to", "probability": 0.9306640625}, {"start": 1064.71, "end": 1065.13, "word": " the", "probability": 0.8466796875}, {"start": 1065.13, "end": 1065.13, "word": " middle,", "probability": 0.7001953125}, {"start": 1065.67, "end": 1065.69, "word": " which", "probability": 0.87646484375}, {"start": 1065.69, "end": 1065.69, "word": " is", "probability": 0.93896484375}, {"start": 1065.69, "end": 1065.93, "word": " higher", "probability": 0.75048828125}, {"start": 1065.93, "end": 1066.07, "word": " than", "probability": 0.9287109375}, {"start": 1066.07, "end": 1066.15, "word": " the", "probability": 0.83447265625}, {"start": 1066.15, "end": 1066.63, "word": " refractive", "probability": 0.964111328125}, {"start": 1066.63, "end": 1067.09, "word": " index.", "probability": 0.88916015625}, {"start": 1067.55, "end": 1067.69, "word": " Its", "probability": 0.297607421875}, {"start": 1067.69, "end": 1068.19, "word": " contraction", "probability": 0.076904296875}, {"start": 1068.19, "end": 1068.79, "word": " is", "probability": 0.281494140625}, {"start": 1068.79, "end": 1070.33, "word": " towards", "probability": 0.30810546875}, {"start": 1070.33, "end": 1070.87, "word": " the", "probability": 0.70947265625}, {"start": 1070.87, "end": 1071.19, "word": " service", "probability": 0.57861328125}, {"start": 1071.19, "end": 1071.47, "word": " normal.", "probability": 0.7822265625}, {"start": 1071.65, "end": 1071.73, "word": " So,", "probability": 0.316162109375}, {"start": 1071.77, "end": 1071.83, "word": " it", "probability": 0.80078125}, {"start": 1071.83, "end": 1072.27, "word": " approaches", "probability": 0.368896484375}, {"start": 1072.27, "end": 1072.59, "word": " the", "probability": 0.77392578125}, {"start": 1072.59, "end": 1072.95, "word": " service", "probability": 0.68310546875}, {"start": 1072.95, "end": 1073.29, "word": " normal.", "probability": 0.8759765625}, {"start": 1073.61, "end": 1073.85, "word": " So,", "probability": 0.560546875}, {"start": 1074.49, "end": 1075.25, "word": " the", "probability": 0.50439453125}, {"start": 1075.25, "end": 1075.55, "word": " angle", "probability": 0.480712890625}, {"start": 1075.55, "end": 1075.73, "word": " of", "probability": 0.9169921875}, {"start": 1075.73, "end": 1076.37, "word": " contraction", "probability": 0.7939453125}, {"start": 1076.37, "end": 1076.71, "word": " or", "probability": 0.389404296875}, {"start": 1076.71, "end": 1076.81, "word": " the", "probability": 0.166259765625}, {"start": 1076.81, "end": 1076.99, "word": " angle", "probability": 0.71240234375}, {"start": 1076.99, "end": 1077.17, "word": " of", "probability": 0.9580078125}, {"start": 1077.17, "end": 1077.39, "word": " passage", "probability": 0.441162109375}, {"start": 1077.39, "end": 1077.61, "word": " is", "probability": 0.86865234375}, {"start": 1077.61, "end": 1078.03, "word": " smaller", "probability": 0.736328125}, {"start": 1078.03, "end": 1079.15, "word": " than", "probability": 0.935546875}, {"start": 1079.15, "end": 1079.41, "word": " the", "probability": 0.837890625}, {"start": 1079.41, "end": 1079.79, "word": " angle", "probability": 0.81396484375}, {"start": 1079.79, "end": 1080.51, "word": " of", "probability": 0.96484375}, {"start": 1080.51, "end": 1080.83, "word": " fall.", "probability": 0.358642578125}, {"start": 1081.23, "end": 1081.59, "word": " So,", "probability": 0.71435546875}, {"start": 1081.67, "end": 1081.81, "word": " it", "probability": 0.916015625}, {"start": 1081.81, "end": 1082.21, "word": " approaches", "probability": 0.65673828125}, {"start": 1082.21, "end": 1082.61, "word": " the", "probability": 0.8916015625}, {"start": 1082.61, "end": 1082.97, "word": " service", "probability": 0.81982421875}, {"start": 1082.97, "end": 1083.37, "word": " normal.", "probability": 0.88134765625}, {"start": 1083.47, "end": 1083.59, "word": " So,", "probability": 0.143798828125}, {"start": 1083.67, "end": 1083.75, "word": " if", "probability": 0.869140625}, {"start": 1083.75, "end": 1083.85, "word": " we", "probability": 0.90869140625}, {"start": 1083.85, "end": 1084.13, "word": " reflect", "probability": 0.332763671875}, {"start": 1084.13, "end": 1084.37, "word": " the", "probability": 0.693359375}, {"start": 1084.37, "end": 1084.53, "word": " situation", "probability": 0.86572265625}, {"start": 1084.53, "end": 1084.81, "word": " that", "probability": 0.328857421875}, {"start": 1084.81, "end": 1084.93, "word": " it", "probability": 0.84521484375}, {"start": 1084.93, "end": 1085.37, "word": " moves", "probability": 0.7109375}, {"start": 1085.37, "end": 1085.69, "word": " from", "probability": 0.85693359375}, {"start": 1085.69, "end": 1085.83, "word": " the", "probability": 0.427734375}, {"start": 1085.83, "end": 1086.31, "word": " glass,", "probability": 0.88232421875}, {"start": 1086.89, "end": 1087.09, "word": " for", "probability": 0.8857421875}, {"start": 1087.09, "end": 1087.33, "word": " example,", "probability": 0.92431640625}, {"start": 1088.13, "end": 1088.39, "word": " to", "probability": 0.94189453125}, {"start": 1088.39, "end": 1088.69, "word": " the", "probability": 0.8193359375}, {"start": 1088.69, "end": 1088.95, "word": " air,", "probability": 0.845703125}], "temperature": 1.0}, {"id": 47, "seek": 110131, "start": 1092.71, "end": 1101.31, "text": "بننتقل من الزجاج إلى الهواء، هنلاقيه بينتقل من الزجاج", "tokens": [3555, 1863, 29399, 4587, 1211, 9154, 6024, 110, 7435, 26108, 30731, 2423, 3224, 2407, 16606, 12399, 8032, 1863, 15040, 38436, 3224, 4724, 9957, 2655, 4587, 1211, 9154, 6024, 110, 7435, 26108], "avg_logprob": -0.2790527353063226, "compression_ratio": 1.3611111111111112, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1092.71, "end": 1093.43, "word": "بننتقل", "probability": 0.68170166015625}, {"start": 1093.43, "end": 1093.61, "word": " من", "probability": 0.9931640625}, {"start": 1093.61, "end": 1094.19, "word": " الزجاج", "probability": 0.92578125}, {"start": 1094.19, "end": 1094.37, "word": " إلى", "probability": 0.861328125}, {"start": 1094.37, "end": 1094.93, "word": " الهواء،", "probability": 0.791943359375}, {"start": 1094.93, "end": 1095.69, "word": " هنلاقيه", "probability": 0.80341796875}, {"start": 1095.69, "end": 1100.41, "word": " بينتقل", "probability": 0.77158203125}, {"start": 1100.41, "end": 1100.59, "word": " من", "probability": 0.994140625}, {"start": 1100.59, "end": 1101.31, "word": " الزجاج", "probability": 0.9658203125}], "temperature": 1.0}, {"id": 48, "seek": 112989, "start": 1101.51, "end": 1129.89, "text": "to the air goes away from the service normal away from the service normal so when it moves from the highest point in density or highest point in refractive index to the lowest point in density the broken beam moves away from the service normal this is the proof that the angle of fall is smaller than the angle of break or the angle of passage when it moves from the lowest point in density to the highest point in density", "tokens": [1353, 264, 1988, 1709, 1314, 490, 264, 2643, 2710, 1314, 490, 264, 2643, 2710, 370, 562, 309, 6067, 490, 264, 6343, 935, 294, 10305, 420, 6343, 935, 294, 45353, 488, 8186, 281, 264, 12437, 935, 294, 10305, 264, 5463, 14269, 6067, 1314, 490, 264, 2643, 2710, 341, 307, 264, 8177, 300, 264, 5802, 295, 2100, 307, 4356, 813, 264, 5802, 295, 1821, 420, 264, 5802, 295, 11497, 562, 309, 6067, 490, 264, 12437, 935, 294, 10305, 281, 264, 6343, 935, 294, 10305], "avg_logprob": -0.42695783635219897, "compression_ratio": 2.5575757575757576, "no_speech_prob": 3.0159950256347656e-05, "words": [{"start": 1101.51, "end": 1101.81, "word": "to", "probability": 0.2115478515625}, {"start": 1101.81, "end": 1101.91, "word": " the", "probability": 0.61962890625}, {"start": 1101.91, "end": 1102.21, "word": " air", "probability": 0.7119140625}, {"start": 1102.21, "end": 1102.83, "word": " goes", "probability": 0.07293701171875}, {"start": 1102.83, "end": 1103.17, "word": " away", "probability": 0.72607421875}, {"start": 1103.17, "end": 1103.73, "word": " from", "probability": 0.87158203125}, {"start": 1103.73, "end": 1103.91, "word": " the", "probability": 0.349853515625}, {"start": 1103.91, "end": 1104.41, "word": " service", "probability": 0.56982421875}, {"start": 1104.41, "end": 1104.87, "word": " normal", "probability": 0.57763671875}, {"start": 1104.87, "end": 1105.17, "word": " away", "probability": 0.389892578125}, {"start": 1105.17, "end": 1105.73, "word": " from", "probability": 0.8916015625}, {"start": 1105.73, "end": 1105.91, "word": " the", "probability": 0.76611328125}, {"start": 1105.91, "end": 1106.43, "word": " service", "probability": 0.75732421875}, {"start": 1106.43, "end": 1107.17, "word": " normal", "probability": 0.8369140625}, {"start": 1107.17, "end": 1107.69, "word": " so", "probability": 0.316162109375}, {"start": 1107.69, "end": 1108.27, "word": " when", "probability": 0.8134765625}, {"start": 1108.27, "end": 1108.41, "word": " it", "probability": 0.72998046875}, {"start": 1108.41, "end": 1108.77, "word": " moves", "probability": 0.64599609375}, {"start": 1108.77, "end": 1108.95, "word": " from", "probability": 0.7587890625}, {"start": 1108.95, "end": 1109.49, "word": " the", "probability": 0.5361328125}, {"start": 1109.49, "end": 1109.67, "word": " highest", "probability": 0.281494140625}, {"start": 1109.67, "end": 1109.71, "word": " point", "probability": 0.33349609375}, {"start": 1109.71, "end": 1109.89, "word": " in", "probability": 0.75537109375}, {"start": 1109.89, "end": 1110.41, "word": " density", "probability": 0.443603515625}, {"start": 1110.41, "end": 1110.69, "word": " or", "probability": 0.81689453125}, {"start": 1110.69, "end": 1110.97, "word": " highest", "probability": 0.499267578125}, {"start": 1110.97, "end": 1111.11, "word": " point", "probability": 0.77197265625}, {"start": 1111.11, "end": 1111.17, "word": " in", "probability": 0.88232421875}, {"start": 1111.17, "end": 1111.81, "word": " refractive", "probability": 0.802734375}, {"start": 1111.81, "end": 1112.27, "word": " index", "probability": 0.9169921875}, {"start": 1112.27, "end": 1112.87, "word": " to", "probability": 0.8681640625}, {"start": 1112.87, "end": 1113.01, "word": " the", "probability": 0.57421875}, {"start": 1113.01, "end": 1113.45, "word": " lowest", "probability": 0.74365234375}, {"start": 1113.45, "end": 1113.53, "word": " point", "probability": 0.966796875}, {"start": 1113.53, "end": 1113.77, "word": " in", "probability": 0.85400390625}, {"start": 1113.77, "end": 1114.35, "word": " density", "probability": 0.6982421875}, {"start": 1114.35, "end": 1114.97, "word": " the", "probability": 0.5390625}, {"start": 1114.97, "end": 1115.93, "word": " broken", "probability": 0.40673828125}, {"start": 1115.93, "end": 1115.93, "word": " beam", "probability": 0.1524658203125}, {"start": 1115.93, "end": 1116.23, "word": " moves", "probability": 0.498779296875}, {"start": 1116.23, "end": 1116.63, "word": " away", "probability": 0.875}, {"start": 1116.63, "end": 1116.93, "word": " from", "probability": 0.8818359375}, {"start": 1116.93, "end": 1117.07, "word": " the", "probability": 0.8359375}, {"start": 1117.07, "end": 1117.43, "word": " service", "probability": 0.7353515625}, {"start": 1117.43, "end": 1117.89, "word": " normal", "probability": 0.87158203125}, {"start": 1117.89, "end": 1118.57, "word": " this", "probability": 0.77587890625}, {"start": 1118.57, "end": 1118.73, "word": " is", "probability": 0.7412109375}, {"start": 1118.73, "end": 1118.73, "word": " the", "probability": 0.56298828125}, {"start": 1118.73, "end": 1119.03, "word": " proof", "probability": 0.60791015625}, {"start": 1119.03, "end": 1119.29, "word": " that", "probability": 0.912109375}, {"start": 1119.29, "end": 1119.35, "word": " the", "probability": 0.73095703125}, {"start": 1119.35, "end": 1119.51, "word": " angle", "probability": 0.701171875}, {"start": 1119.51, "end": 1119.69, "word": " of", "probability": 0.951171875}, {"start": 1119.69, "end": 1119.99, "word": " fall", "probability": 0.383056640625}, {"start": 1119.99, "end": 1120.31, "word": " is", "probability": 0.9150390625}, {"start": 1120.31, "end": 1120.69, "word": " smaller", "probability": 0.6123046875}, {"start": 1120.69, "end": 1120.95, "word": " than", "probability": 0.9150390625}, {"start": 1120.95, "end": 1121.61, "word": " the", "probability": 0.7763671875}, {"start": 1121.61, "end": 1121.61, "word": " angle", "probability": 0.859375}, {"start": 1121.61, "end": 1121.99, "word": " of", "probability": 0.94384765625}, {"start": 1121.99, "end": 1122.43, "word": " break", "probability": 0.2098388671875}, {"start": 1122.43, "end": 1122.83, "word": " or", "probability": 0.6376953125}, {"start": 1122.83, "end": 1122.95, "word": " the", "probability": 0.1805419921875}, {"start": 1122.95, "end": 1123.13, "word": " angle", "probability": 0.75341796875}, {"start": 1123.13, "end": 1123.47, "word": " of", "probability": 0.95166015625}, {"start": 1123.47, "end": 1123.73, "word": " passage", "probability": 0.30078125}, {"start": 1123.73, "end": 1124.55, "word": " when", "probability": 0.8974609375}, {"start": 1124.55, "end": 1124.77, "word": " it", "probability": 0.9140625}, {"start": 1124.77, "end": 1125.21, "word": " moves", "probability": 0.82275390625}, {"start": 1125.21, "end": 1125.41, "word": " from", "probability": 0.86474609375}, {"start": 1125.41, "end": 1125.95, "word": " the", "probability": 0.8017578125}, {"start": 1125.95, "end": 1126.25, "word": " lowest", "probability": 0.9375}, {"start": 1126.25, "end": 1126.25, "word": " point", "probability": 0.97119140625}, {"start": 1126.25, "end": 1126.51, "word": " in", "probability": 0.927734375}, {"start": 1126.51, "end": 1127.05, "word": " density", "probability": 0.82861328125}, {"start": 1127.05, "end": 1128.33, "word": " to", "probability": 0.96630859375}, {"start": 1128.33, "end": 1128.95, "word": " the", "probability": 0.9033203125}, {"start": 1128.95, "end": 1129.11, "word": " highest", "probability": 0.9306640625}, {"start": 1129.11, "end": 1129.13, "word": " point", "probability": 0.9736328125}, {"start": 1129.13, "end": 1129.43, "word": " in", "probability": 0.9375}, {"start": 1129.43, "end": 1129.89, "word": " density", "probability": 0.8212890625}], "temperature": 1.0}, {"id": 49, "seek": 115223, "start": 1132.65, "end": 1152.23, "text": "he gets closer and closer to the normal service, from the lowest to the highest, he gets closer to the normal service, from the highest to the lowest, he moves away from the normal service, of course these words are very important in the topic of weakness, and it is proven", "tokens": [675, 2170, 4966, 293, 4966, 281, 264, 2710, 2643, 11, 490, 264, 12437, 281, 264, 6343, 11, 415, 2170, 4966, 281, 264, 2710, 2643, 11, 490, 264, 6343, 281, 264, 12437, 11, 415, 6067, 1314, 490, 264, 2710, 2643, 11, 295, 1164, 613, 2283, 366, 588, 1021, 294, 264, 4829, 295, 12772, 11, 293, 309, 307, 12785], "avg_logprob": -0.4792564531852459, "compression_ratio": 1.9361702127659575, "no_speech_prob": 2.104043960571289e-05, "words": [{"start": 1132.65, "end": 1132.89, "word": "he", "probability": 0.1683349609375}, {"start": 1132.89, "end": 1133.03, "word": " gets", "probability": 0.1923828125}, {"start": 1133.03, "end": 1133.49, "word": " closer", "probability": 0.55419921875}, {"start": 1133.49, "end": 1134.03, "word": " and", "probability": 0.322265625}, {"start": 1134.03, "end": 1134.49, "word": " closer", "probability": 0.88671875}, {"start": 1134.49, "end": 1134.73, "word": " to", "probability": 0.8115234375}, {"start": 1134.73, "end": 1134.87, "word": " the", "probability": 0.57666015625}, {"start": 1134.87, "end": 1135.65, "word": " normal", "probability": 0.30615234375}, {"start": 1135.65, "end": 1135.65, "word": " service,", "probability": 0.82958984375}, {"start": 1135.83, "end": 1135.97, "word": " from", "probability": 0.75341796875}, {"start": 1135.97, "end": 1136.13, "word": " the", "probability": 0.48046875}, {"start": 1136.13, "end": 1136.47, "word": " lowest", "probability": 0.73291015625}, {"start": 1136.47, "end": 1137.09, "word": " to", "probability": 0.80126953125}, {"start": 1137.09, "end": 1137.25, "word": " the", "probability": 0.84423828125}, {"start": 1137.25, "end": 1137.45, "word": " highest,", "probability": 0.9345703125}, {"start": 1137.83, "end": 1137.95, "word": " he", "probability": 0.77490234375}, {"start": 1137.95, "end": 1138.09, "word": " gets", "probability": 0.78857421875}, {"start": 1138.09, "end": 1138.33, "word": " closer", "probability": 0.833984375}, {"start": 1138.33, "end": 1138.51, "word": " to", "probability": 0.56640625}, {"start": 1138.51, "end": 1138.65, "word": " the", "probability": 0.873046875}, {"start": 1138.65, "end": 1139.45, "word": " normal", "probability": 0.81396484375}, {"start": 1139.45, "end": 1139.45, "word": " service,", "probability": 0.8857421875}, {"start": 1139.73, "end": 1141.27, "word": " from", "probability": 0.8056640625}, {"start": 1141.27, "end": 1141.49, "word": " the", "probability": 0.86962890625}, {"start": 1141.49, "end": 1141.71, "word": " highest", "probability": 0.93505859375}, {"start": 1141.71, "end": 1141.95, "word": " to", "probability": 0.9716796875}, {"start": 1141.95, "end": 1142.15, "word": " the", "probability": 0.841796875}, {"start": 1142.15, "end": 1142.37, "word": " lowest,", "probability": 0.97119140625}, {"start": 1142.57, "end": 1142.65, "word": " he", "probability": 0.92822265625}, {"start": 1142.65, "end": 1142.83, "word": " moves", "probability": 0.390380859375}, {"start": 1142.83, "end": 1143.15, "word": " away", "probability": 0.869140625}, {"start": 1143.15, "end": 1143.67, "word": " from", "probability": 0.875}, {"start": 1143.67, "end": 1143.85, "word": " the", "probability": 0.89599609375}, {"start": 1143.85, "end": 1145.31, "word": " normal", "probability": 0.8291015625}, {"start": 1145.31, "end": 1145.41, "word": " service,", "probability": 0.89404296875}, {"start": 1145.85, "end": 1145.97, "word": " of", "probability": 0.8330078125}, {"start": 1145.97, "end": 1146.19, "word": " course", "probability": 0.95947265625}, {"start": 1146.19, "end": 1147.67, "word": " these", "probability": 0.28515625}, {"start": 1147.67, "end": 1148.09, "word": " words", "probability": 0.689453125}, {"start": 1148.09, "end": 1148.25, "word": " are", "probability": 0.9228515625}, {"start": 1148.25, "end": 1148.31, "word": " very", "probability": 0.69189453125}, {"start": 1148.31, "end": 1148.61, "word": " important", "probability": 0.8037109375}, {"start": 1148.61, "end": 1149.21, "word": " in", "probability": 0.65283203125}, {"start": 1149.21, "end": 1149.37, "word": " the", "probability": 0.58056640625}, {"start": 1149.37, "end": 1149.73, "word": " topic", "probability": 0.45654296875}, {"start": 1149.73, "end": 1150.51, "word": " of", "probability": 0.9365234375}, {"start": 1150.51, "end": 1150.91, "word": " weakness,", "probability": 0.111572265625}, {"start": 1151.27, "end": 1151.41, "word": " and", "probability": 0.376708984375}, {"start": 1151.41, "end": 1151.59, "word": " it", "probability": 0.64306640625}, {"start": 1151.59, "end": 1151.93, "word": " is", "probability": 0.6533203125}, {"start": 1151.93, "end": 1152.23, "word": " proven", "probability": 0.6015625}], "temperature": 1.0}, {"id": 50, "seek": 117466, "start": 1155.7, "end": 1174.66, "text": "when light travels from a medium of lower refractive index to a medium of higher refractive index, it bends toward the normal. Conversely, when light travels from a higher refractive index to a lower refractive index,", "tokens": [18822, 1442, 19863, 490, 257, 6399, 295, 3126, 45353, 488, 8186, 281, 257, 6399, 295, 2946, 45353, 488, 8186, 11, 309, 42990, 7361, 264, 2710, 13, 33247, 736, 11, 562, 1442, 19863, 490, 257, 2946, 45353, 488, 8186, 281, 257, 3126, 45353, 488, 8186, 11], "avg_logprob": -0.239130435106547, "compression_ratio": 1.954954954954955, "no_speech_prob": 3.7550926208496094e-06, "words": [{"start": 1155.7, "end": 1156.56, "word": "when", "probability": 0.04351806640625}, {"start": 1156.56, "end": 1157.18, "word": " light", "probability": 0.802734375}, {"start": 1157.18, "end": 1157.72, "word": " travels", "probability": 0.81689453125}, {"start": 1157.72, "end": 1158.04, "word": " from", "probability": 0.89208984375}, {"start": 1158.04, "end": 1158.32, "word": " a", "probability": 0.9169921875}, {"start": 1158.32, "end": 1158.72, "word": " medium", "probability": 0.9169921875}, {"start": 1158.72, "end": 1159.44, "word": " of", "probability": 0.92236328125}, {"start": 1159.44, "end": 1159.86, "word": " lower", "probability": 0.708984375}, {"start": 1159.86, "end": 1160.64, "word": " refractive", "probability": 0.940185546875}, {"start": 1160.64, "end": 1161.22, "word": " index", "probability": 0.8779296875}, {"start": 1161.22, "end": 1161.76, "word": " to", "probability": 0.91748046875}, {"start": 1161.76, "end": 1161.98, "word": " a", "probability": 0.93505859375}, {"start": 1161.98, "end": 1162.34, "word": " medium", "probability": 0.9267578125}, {"start": 1162.34, "end": 1162.68, "word": " of", "probability": 0.95751953125}, {"start": 1162.68, "end": 1163.04, "word": " higher", "probability": 0.85595703125}, {"start": 1163.04, "end": 1163.68, "word": " refractive", "probability": 0.948486328125}, {"start": 1163.68, "end": 1164.18, "word": " index,", "probability": 0.8642578125}, {"start": 1164.58, "end": 1164.78, "word": " it", "probability": 0.9169921875}, {"start": 1164.78, "end": 1165.16, "word": " bends", "probability": 0.9443359375}, {"start": 1165.16, "end": 1165.7, "word": " toward", "probability": 0.323974609375}, {"start": 1165.7, "end": 1165.96, "word": " the", "probability": 0.88037109375}, {"start": 1165.96, "end": 1166.36, "word": " normal.", "probability": 0.84228515625}, {"start": 1166.96, "end": 1167.8, "word": " Conversely,", "probability": 0.7279052734375}, {"start": 1168.06, "end": 1169.46, "word": " when", "probability": 0.919921875}, {"start": 1169.46, "end": 1169.9, "word": " light", "probability": 0.88818359375}, {"start": 1169.9, "end": 1170.38, "word": " travels", "probability": 0.83251953125}, {"start": 1170.38, "end": 1170.66, "word": " from", "probability": 0.89013671875}, {"start": 1170.66, "end": 1170.9, "word": " a", "probability": 0.97119140625}, {"start": 1170.9, "end": 1171.18, "word": " higher", "probability": 0.80322265625}, {"start": 1171.18, "end": 1171.96, "word": " refractive", "probability": 0.958251953125}, {"start": 1171.96, "end": 1172.46, "word": " index", "probability": 0.84716796875}, {"start": 1172.46, "end": 1173.06, "word": " to", "probability": 0.9609375}, {"start": 1173.06, "end": 1173.24, "word": " a", "probability": 0.98291015625}, {"start": 1173.24, "end": 1173.48, "word": " lower", "probability": 0.82421875}, {"start": 1173.48, "end": 1174.16, "word": " refractive", "probability": 0.96630859375}, {"start": 1174.16, "end": 1174.66, "word": " index,", "probability": 0.86669921875}], "temperature": 1.0}, {"id": 51, "seek": 118783, "start": 1174.95, "end": 1187.83, "text": "It bends away from the service normal It bends away from the service normal بنتوقف عند ال normal incidence ويعطيكم العافية و السلام عليكم ورحمة الله وبركاته", "tokens": [3522, 42990, 1314, 490, 264, 2643, 2710, 467, 42990, 1314, 490, 264, 2643, 2710, 44945, 2655, 30543, 5172, 43242, 2423, 2710, 41726, 4032, 40228, 9566, 1829, 24793, 18863, 31845, 10632, 4032, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224], "avg_logprob": -0.2224864098040954, "compression_ratio": 1.4513888888888888, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 1174.95, "end": 1175.23, "word": "It", "probability": 0.486328125}, {"start": 1175.23, "end": 1175.61, "word": " bends", "probability": 0.8740234375}, {"start": 1175.61, "end": 1175.97, "word": " away", "probability": 0.90771484375}, {"start": 1175.97, "end": 1176.41, "word": " from", "probability": 0.89892578125}, {"start": 1176.41, "end": 1176.63, "word": " the", "probability": 0.89453125}, {"start": 1176.63, "end": 1177.13, "word": " service", "probability": 0.63427734375}, {"start": 1177.13, "end": 1177.65, "word": " normal", "probability": 0.755859375}, {"start": 1177.65, "end": 1178.01, "word": " It", "probability": 0.3818359375}, {"start": 1178.01, "end": 1178.31, "word": " bends", "probability": 0.95947265625}, {"start": 1178.31, "end": 1178.69, "word": " away", "probability": 0.8876953125}, {"start": 1178.69, "end": 1178.97, "word": " from", "probability": 0.88818359375}, {"start": 1178.97, "end": 1179.17, "word": " the", "probability": 0.92236328125}, {"start": 1179.17, "end": 1179.67, "word": " service", "probability": 0.87255859375}, {"start": 1179.67, "end": 1180.57, "word": " normal", "probability": 0.87353515625}, {"start": 1180.57, "end": 1181.95, "word": " بنتوقف", "probability": 0.780731201171875}, {"start": 1181.95, "end": 1182.21, "word": " عند", "probability": 0.9873046875}, {"start": 1182.21, "end": 1182.37, "word": " ال", "probability": 0.7705078125}, {"start": 1182.37, "end": 1182.71, "word": " normal", "probability": 0.56884765625}, {"start": 1182.71, "end": 1183.49, "word": " incidence", "probability": 0.6455078125}, {"start": 1183.49, "end": 1184.69, "word": " ويعطيكم", "probability": 0.80654296875}, {"start": 1184.69, "end": 1185.23, "word": " العافية", "probability": 0.9505208333333334}, {"start": 1185.23, "end": 1185.35, "word": " و", "probability": 0.58935546875}, {"start": 1185.35, "end": 1185.71, "word": " السلام", "probability": 0.908203125}, {"start": 1185.71, "end": 1186.21, "word": " عليكم", "probability": 0.9541015625}, {"start": 1186.21, "end": 1186.67, "word": " ورحمة", "probability": 0.866455078125}, {"start": 1186.67, "end": 1186.97, "word": " الله", "probability": 0.974609375}, {"start": 1186.97, "end": 1187.83, "word": " وبركاته", "probability": 0.89296875}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 1188.745625, "duration_after_vad": 1155.2850000000003}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/tjy91txnzzs.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/tjy91txnzzs.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a3adc62cfc32ecf04b7e904526067f4926a1ae5e
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/tjy91txnzzs.srt
@@ -0,0 +1,1539 @@
+
+1
+00:00:01,750 --> 00:00:04,910
+بسم الله الرحمن الرحيم، بنواصل محاضرات لـ
+
+2
+00:00:04,910 --> 00:00:08,530
+Geometric Optics، وحكينا المرة الماضية عن Le
+
+3
+00:00:08,530 --> 00:00:12,030
+Brentis Rule، اللي هي الـ Prismatic Effect of
+
+4
+00:00:12,030 --> 00:00:17,130
+Lenses، وقولنا عشان نعرف جداش قوة المنشور عند أي
+
+5
+00:00:17,130 --> 00:00:21,270
+نقطة من نقاط العدسة، القوة المنشورية لهذه النقطة،
+
+6
+00:00:21,270 --> 00:00:25,460
+بنقول الـ Prismatic Effect عند هذه النقطة، is equal
+
+7
+00:00:25,460 --> 00:00:27,400
+to H in D, which is the distance from the point,
+
+8
+00:00:27,700 --> 00:00:30,600
+which is the optical center, in the diopter, which
+
+9
+00:00:30,600 --> 00:00:33,620
+is the power of the lens. Then we know that at
+
+10
+00:00:33,620 --> 00:00:37,100
+this point, C, middle, or eye, how much the lens
+
+11
+00:00:37,100 --> 00:00:39,780
+works as a measure of its power, or how much its
+
+12
+00:00:39,780 --> 00:00:44,440
+deviating power.This issue can benefit from it
+
+13
+00:00:44,440 --> 00:00:52,120
+practically and it can also avoid some problems
+
+14
+00:00:52,120 --> 00:00:55,200
+that may occur as a result of the difference in
+
+15
+00:00:55,200 --> 00:00:58,080
+the power of the lenses. For example, the
+
+16
+00:00:58,080 --> 00:01:01,760
+prismatic effect of lenses becomes clinically
+
+17
+00:01:01,760 --> 00:01:06,660
+important in a patient with anisometropia when the
+
+18
+00:01:06,660 --> 00:01:09,540
+distance correction is different for the two eyes.
+
+19
+00:01:10,030 --> 00:01:12,710
+To give an example of that, we say that a person
+
+20
+00:01:12,710 --> 00:01:20,050
+has anisometropia We suppose that the right eye
+
+21
+00:01:20,050 --> 00:01:23,330
+has
+
+22
+00:01:23,330 --> 00:01:34,310
+plus eight diopters, for example And
+
+23
+00:01:34,310 --> 00:01:40,920
+the left eye has plus two diopters. Anisometropia is
+
+24
+00:01:40,920 --> 00:01:46,180
+the difference between the refractive error in two
+
+25
+00:01:46,180 --> 00:01:51,840
+eyes. Or this patient has plus eight diopters in his
+
+26
+00:01:51,840 --> 00:01:56,260
+right eye and plus two diopters in his left eye
+
+27
+00:01:56,260 --> 00:02:01,300
+And this condition is called anisometropia. When I
+
+28
+00:02:01,300 --> 00:02:04,240
+give him a correction, he looks at the distance,
+
+29
+00:02:04,340 --> 00:02:06,940
+this is the distance correction. This is a lens for
+
+30
+00:02:06,940 --> 00:02:10,420
+the distance. He looks here from the optical center
+
+31
+00:02:10,910 --> 00:02:14,590
+It also shows from the optical center to a distant
+
+32
+00:02:14,590 --> 00:02:17,810
+target, a distance of 6 meters or 10 meters or
+
+33
+00:02:17,810 --> 00:02:21,170
+something like that. When it shows from the optical
+
+34
+00:02:21,170 --> 00:02:24,130
+center to the right lens and the optical center to
+
+35
+00:02:24,130 --> 00:02:28,150
+the left lens. We know that the optical center, the
+
+36
+00:02:28,150 --> 00:02:31,750
+prismatic effect has zero. So there is no prismatic
+
+37
+00:02:31,750 --> 00:02:34,750
+effect, we said that the lens works at all points
+
+38
+00:02:35,840 --> 00:02:39,660
+في كل نقاطها بشكل أو إلها prismatic effect
+
+39
+00:02:39,660 --> 00:02:43,920
+بالإضافة لكونها عدسة بس في ال optical center فش
+
+40
+00:02:43,920 --> 00:02:47,960
+prismatic effect، فش prismatic effect، okay الان
+
+41
+00:02:47,960 --> 00:02:53,810
+المشكلة مش هنا، المشكلة لما بده يعمل near work he
+
+42
+00:02:53,810 --> 00:02:56,090
+wants to read, he wants to look at his phone, he
+
+43
+00:02:56,090 --> 00:03:01,330
+wants to read Qur'an, he wants to do anything or
+
+44
+00:03:01,330 --> 00:03:05,150
+any activity near, usually the eyes in the near
+
+45
+00:03:05,150 --> 00:03:08,570
+work down or down, usually the level of the phone
+
+46
+00:03:08,570 --> 00:03:12,330
+or ..the mobile or the level of the book or the
+
+47
+00:03:12,330 --> 00:03:15,170
+notebook in which it is written, everything is
+
+48
+00:03:15,170 --> 00:03:18,450
+below the eyes, so the two eyes are forced to go
+
+49
+00:03:18,450 --> 00:03:26,480
+down to read or watch the mobile or whatever. When
+
+50
+00:03:26,480 --> 00:03:30,080
+they go down to the bottom, like the view shown
+
+51
+00:03:30,080 --> 00:03:35,000
+here or the view shown at the bottom, they get out
+
+52
+00:03:35,000 --> 00:03:37,860
+of parts, not from the center, not from the
+
+53
+00:03:37,860 --> 00:03:41,510
+optical center of the lens, not from the optical
+
+54
+00:03:41,510 --> 00:03:45,750
+center talents. Here I took a wide shot or a head
+
+55
+00:03:45,750 --> 00:03:48,710
+shot, pardon me, in both eyes. The plus lens, the
+
+56
+00:03:48,710 --> 00:03:52,450
+head shot in it, is lower than half, of course,
+
+57
+00:03:52,690 --> 00:03:55,990
+bent or thick in front and behind, but here I
+
+58
+00:03:55,990 --> 00:03:58,570
+don't have the three-dimensionality that we draw.
+
+59
+00:04:00,330 --> 00:04:01,470
+So, if we ..
+
+60
+00:04:08,110 --> 00:04:12,790
+لا مافيش إمكانية طبعا بالنسبالي على الأقل، إذا هذا
+
+61
+00:04:12,790 --> 00:04:16,090
+مقطع اللي باللون الأصفر مقطع رأسي في العدسة ال
+
+62
+00:04:16,090 --> 00:04:21,780
+plus و هدا مقطع رأسي في العدسة الـ plus لما العينتين
+
+63
+00:04:21,780 --> 00:04:25,040
+بنزلوا للأسفل عشان أتمام موضوع ال reading أو ال
+
+64
+00:04:25,040 --> 00:04:28,620
+near word أصبحت العين اليمين بتطلع من نقطة مش ال
+
+65
+00:04:28,620 --> 00:04:31,560
+optical center تعالي ال lens يعني من نقطة إلها
+
+66
+00:04:31,560 --> 00:04:35,220
+prismatic effect و هنا أيضا أصبحت العين الشمال
+
+67
+00:04:35,220 --> 00:04:39,440
+أيضا اللي أنا نزلت معاها بتطلع من نقطة إلها تأثير
+
+68
+00:04:39,440 --> 00:04:42,640
+منشوري أو prismatic effect. Here's how much the
+
+69
+00:04:42,640 --> 00:04:44,760
+effect is printed and here's how much the effect
+
+70
+00:04:44,760 --> 00:04:48,800
+is printed. In order to know, in order to know, we
+
+71
+00:04:48,800 --> 00:04:53,160
+have to calculate or use the Prentice Rule, which
+
+72
+00:04:53,160 --> 00:04:59,180
+tells me the prismatic effect on the right, H in D
+
+73
+00:05:13,060 --> 00:05:20,280
+equal to H in D of course and equal to of course
+
+74
+00:05:20,280 --> 00:05:24,140
+we imagine it's usually around the adult in the
+
+75
+00:05:24,140 --> 00:05:26,620
+reading position the eyes go down about eight
+
+76
+00:05:26,620 --> 00:05:28,780
+millimeters, that is, eight out of ten centimeters
+
+77
+00:05:28,780 --> 00:05:34,080
+H which is eight out of ten centimeters multiplied
+
+78
+00:05:34,080 --> 00:05:37,700
+by D, the power that will tell us eight is greater
+
+79
+00:05:37,700 --> 00:05:41,420
+eight is greater and equal to
+
+80
+00:05:44,240 --> 00:05:51,200
+8x8x10 is 6 and 4x10 is the prism of the diopter
+
+81
+00:05:51,200 --> 00:05:55,800
+but it is necessary to say where
+
+82
+00:05:55,800 --> 00:06:00,680
+is the base, where is his base because the view
+
+83
+00:06:00,680 --> 00:06:03,040
+tells me that the base is up, so when the eye goes
+
+84
+00:06:03,040 --> 00:06:08,800
+down. The plus lens looks like it is made from a
+
+85
+00:06:08,800 --> 00:06:13,660
+part of the prism where the base is up. So, base up
+
+86
+00:06:13,660 --> 00:06:19,060
+As long as the base is up, the apex is down, but
+
+87
+00:06:19,060 --> 00:06:22,840
+we deal with the base. So, the printed effect when
+
+88
+00:06:22,840 --> 00:06:28,180
+the eye goes down. When the eye goes down in the
+
+89
+00:06:28,180 --> 00:06:36,500
+plus lens, the force is 8 diopters. As if
+
+90
+00:06:36,500 --> 00:06:39,840
+the subject in front of the eye is printed 6 and 4
+
+91
+00:06:39,840 --> 00:06:42,360
+out of 10 prism diopters. Let's calculate on the
+
+92
+00:06:42,360 --> 00:06:47,440
+other side how much the effect is printed. Let's
+
+93
+00:06:47,440 --> 00:06:55,300
+say the prismatic effect is equal to H in D. It is
+
+94
+00:06:55,300 --> 00:06:59,820
+equal to H 8 milli which is 8 out of 10
+
+95
+00:06:59,820 --> 00:07:03,580
+centimeters which is equal to the same degree In D
+
+96
+00:07:03,580 --> 00:07:06,320
+here, it is the diopter of the lens that comes out
+
+97
+00:07:06,320 --> 00:07:13,260
+of it which is in two. It
+
+98
+00:07:13,260 --> 00:07:19,040
+is equal to 1.6 Prism diopter.
+
+99
+00:07:21,500 --> 00:07:31,680
+بس ضروري اقول ايش base up ولا base down طبعا
+
+100
+00:07:31,680 --> 00:07:40,020
+base up, base up حسب المنظر مابيقولي base up اذا
+
+101
+00:07:40,020 --> 00:07:40,500
+..
+
+102
+00:07:43,620 --> 00:07:48,280
+It's like this eye looks up through the base of
+
+103
+00:07:48,280 --> 00:07:52,060
+the pen And this eye looks down through the base
+
+104
+00:07:52,060 --> 00:07:55,220
+of the pen But the problem is not here, the
+
+105
+00:07:55,220 --> 00:07:57,080
+problem is that the power of the two pens is
+
+106
+00:07:57,080 --> 00:07:59,560
+different. It's known, and we took it in the
+
+107
+00:07:59,560 --> 00:08:02,620
+previous lecture, that when we look through a pen,
+
+108
+00:08:02,720 --> 00:08:06,320
+we see the picture below We see the picture below
+
+109
+00:08:06,320 --> 00:08:12,550
+in another meaning. يعني هذه العين هتشوف الصورة على
+
+110
+00:08:12,550 --> 00:08:15,810
+أسفل بزيادة عن اللزوم وهذه هتشوف الصورة على أسفل
+
+111
+00:08:15,810 --> 00:08:19,310
+برضه بزيادة عن اللزوم عما هو عليه في حقيقة الأمر
+
+112
+00:08:19,310 --> 00:08:24,510
+لو الإنسان بتطلع على target نفرض ال mobile بتاعه
+
+113
+00:08:25,080 --> 00:08:28,680
+الصورة هنا هتنزل بمقدار ستة وأربع من عشرة prison
+
+114
+00:08:28,680 --> 00:08:32,720
+لأنها هتتجه باتجاه ال apex دائما ال prison بحرف
+
+115
+00:08:32,720 --> 00:08:36,460
+الصورة باتجاه ال apex وهذا أيضا هيحرف الصورة
+
+116
+00:08:36,460 --> 00:08:40,900
+باتجاه ال apex. طيب السؤال هل هيتم توحيد الصورتين
+
+117
+00:08:40,900 --> 00:08:44,960
+الصورة اللي انطبعت على شبكية العين اليمين والصورة
+
+118
+00:08:44,960 --> 00:08:49,120
+اللي انطبعت على شبكية العين الشمال الآن خلينا نشوف
+
+119
+00:08:49,120 --> 00:08:57,070
+كالقادة بدنا احنا ناخد شريحة جديدة و نحاول نفهم بعض
+
+120
+00:08:57,070 --> 00:09:06,690
+الأشياء ونحاول
+
+121
+00:09:06,690 --> 00:09:13,310
+نفهم بعض الأشياء هاي أنا عندي لعين
+
+122
+00:09:31,740 --> 00:09:37,120
+بناخد صورة جانبية ونقول إن العين نزلت بمقدار
+
+123
+00:09:37,120 --> 00:09:42,800
+تمانية مليل و نتخيل
+
+124
+00:09:42,800 --> 00:09:53,500
+أمام العين نتخيل
+
+125
+00:09:53,500 --> 00:09:54,880
+أمام العين في عنده
+
+126
+00:10:01,850 --> 00:10:04,170
+Yes, I mean at the bottom and imagine in front of
+
+127
+00:10:04,170 --> 00:10:10,590
+it that I have a label The base is up. Its strength
+
+128
+00:10:10,590 --> 00:10:17,750
+is
+
+129
+00:10:17,750 --> 00:10:24,390
+6.4 times 10 Prism Diode. Its
+
+130
+00:10:24,390 --> 00:10:26,970
+strength is 6.4 times 10 Prism Diode.
+
+131
+00:10:53,600 --> 00:10:58,220
+So this prism has a force of 4.6 Prism diopter. We
+
+132
+00:10:58,220 --> 00:11:01,940
+need a target
+
+133
+00:11:01,940 --> 00:11:08,720
+This
+
+134
+00:11:08,720 --> 00:11:10,640
+is the mobile or this is what represents the
+
+135
+00:11:10,640 --> 00:11:14,640
+mobile In the down gaze
+
+136
+00:11:23,360 --> 00:11:28,260
+الاشعع أو صورة ال mobile أو مجسم ال mobile اللي
+
+137
+00:11:28,260 --> 00:11:34,000
+رمزناله بالسهم، هيسقط عليه ضوء الغرفة، ينعكس
+
+138
+00:11:34,000 --> 00:11:42,160
+باتجاهي ال Prism هيروح حرفه باتجاه ال base بتاعته،
+
+139
+00:11:42,160 --> 00:11:48,100
+باتجاه ال base بتاعته، و ال base لأعلى، ال base
+
+140
+00:11:48,100 --> 00:11:48,580
+لأعلى
+
+141
+00:12:09,500 --> 00:12:12,900
+He will see .. this eye will see .. which is the
+
+142
+00:12:12,900 --> 00:12:15,420
+right eye The one in front of it is marked with 6
+
+143
+00:12:15,420 --> 00:12:18,840
+and 4 out of 10 diopters You will see the .. the
+
+144
+00:12:18,840 --> 00:12:21,440
+.. the picture of the mobile down extending the
+
+145
+00:12:21,440 --> 00:12:24,760
+rays or the rays that reached it Therefore, this
+
+146
+00:12:24,760 --> 00:12:30,920
+case should be clear on its extension That is, you
+
+147
+00:12:30,920 --> 00:12:34,540
+will see it down towards the apex of the libris ..
+
+148
+00:12:34,540 --> 00:12:36,200
+towards the apex of the libris
+
+149
+00:12:55,080 --> 00:13:00,300
+فهيبين ال mobile في النقطة هاي نازل
+
+150
+00:13:32,510 --> 00:13:34,790
+So instead of seeing it here, we will see it below
+
+151
+00:13:34,790 --> 00:13:37,990
+because we are looking from the lower part of the
+
+152
+00:13:37,990 --> 00:13:41,450
+lens. And the lower part of the lens, the point
+
+153
+00:13:41,450 --> 00:13:43,590
+that we are looking from it, acts as a pointer,
+
+154
+00:13:43,770 --> 00:13:46,950
+the base is up and its force is four out of ten
+
+155
+00:13:46,950 --> 00:13:51,150
+diodes. Okay, now in the second eye, it's the same
+
+156
+00:13:51,150 --> 00:13:54,270
+thing, but to a lesser extent, that is, compared
+
+157
+00:13:54,270 --> 00:13:57,910
+to the right eye, it will show down with a certain
+
+158
+00:13:57,910 --> 00:14:00,950
+amount, the left eye it will look like it came down
+
+159
+00:14:00,950 --> 00:14:03,810
+with less quantity. Ok, how much is the difference
+
+160
+00:14:03,810 --> 00:14:06,870
+between the two? If we say how much the difference
+
+161
+00:14:06,870 --> 00:14:08,710
+is between the two, we want to show the amount,
+
+162
+00:14:08,910 --> 00:14:12,330
+that is, six and four out of ten based up. The
+
+163
+00:14:12,330 --> 00:14:14,070
+picture came down to the amount of six and four
+
+164
+00:14:14,070 --> 00:14:16,050
+out of ten and moved towards the apex, and here
+
+165
+00:14:16,050 --> 00:14:19,030
+the picture moved towards the apex. Let's assume,
+
+166
+00:14:19,630 --> 00:14:22,050
+that is, an example to approximate the concept. I
+
+167
+00:14:22,050 --> 00:14:26,170
+was standing, me and my colleague, on a step which
+
+168
+00:14:26,170 --> 00:14:31,230
+is one of the university buildings. زميلي نزل درجتين
+
+169
+00:14:31,230 --> 00:14:37,270
+وكنا واقفين على نفس الدرجة وزميلي نزل درجتين وانا
+
+170
+00:14:37,270 --> 00:14:41,010
+نزلت ست درجات، جديش الفرق بيننا، بدنا نطرح، هو نزل
+
+171
+00:14:41,010 --> 00:14:45,470
+درجتين وانا نزلت أربع درجات أو ست درجات، بيصير
+
+172
+00:14:45,470 --> 00:14:52,030
+الفرق بيننا أربع درجات، أربع degrees because when I
+
+173
+00:14:52,030 --> 00:14:54,310
+went down 6, the difference between us became 6
+
+174
+00:14:54,310 --> 00:14:56,270
+and when I went down 2, the difference between us
+
+175
+00:14:56,270 --> 00:15:00,670
+became 4 here the picture moved down by 6.4 times
+
+176
+00:15:00,670 --> 00:15:03,150
+the Prism of Diopter. Why did it move down? because
+
+177
+00:15:03,150 --> 00:15:06,910
+the Prism moves the picture towards its apex as
+
+178
+00:15:06,910 --> 00:15:11,190
+the drawing here shows the Prism moves the picture
+
+179
+00:15:11,190 --> 00:15:13,490
+towards its apex as we learned in the previous
+
+180
+00:15:13,490 --> 00:15:16,870
+lecture. It means that it goes down compared to the
+
+181
+00:15:16,870 --> 00:15:19,190
+right eye. And the left eye is the same thing, it
+
+182
+00:15:19,190 --> 00:15:22,530
+goes down but to a lower degree. The difference
+
+183
+00:15:22,530 --> 00:15:26,220
+remains in the location of the two empty photos. هو
+
+184
+00:15:26,220 --> 00:15:31,920
+نتيجة الفرق بين 6 و 4 من 10 ناقص 1 و 6 من 10 لو
+
+185
+00:15:31,920 --> 00:15:40,020
+قلنا 6 و 4 من 10 ناقص 1 بصير 5 و 4 من 10 ناقص 6 من
+
+186
+00:15:40,020 --> 00:15:49,120
+10 بصير عندي 4 و 8 من 10 ابريزي 4 الفرق 4 point 8
+
+187
+00:15:49,120 --> 00:15:50,760
+من 10 ابريزي
+
+188
+00:16:03,360 --> 00:16:08,500
+It's like if we assume that the picture of the
+
+189
+00:
+
+223
+00:18:05,190 --> 00:18:07,610
+وإن كان في مشاكل أخرى بس من ناحية ال charismatic
+
+224
+00:18:07,610 --> 00:18:11,610
+effect لأنه هيكون بتطلع من ال center و هنا بتطلع
+
+225
+00:18:11,610 --> 00:18:16,310
+من ال center فضروري جدا توضح هذه القضية بالنسبة
+
+226
+00:18:16,310 --> 00:18:19,090
+إلنا بالنسبة إلنا ممكن إنسان يقول طب ما المشكلة
+
+227
+00:18:19,090 --> 00:18:23,120
+ممكن تصير في ال up gazeThat's right, the same
+
+228
+00:18:23,120 --> 00:18:25,320
+thing will happen with upgades, but we don't talk
+
+229
+00:18:25,320 --> 00:18:27,580
+much about upgades because the need of a person
+
+230
+00:18:27,580 --> 00:18:31,380
+for upgades ..less .. much less than the need for
+
+231
+00:18:31,380 --> 00:18:33,860
+the down gaze, there is no one who raises his hand
+
+232
+00:18:33,860 --> 00:18:36,220
+to the top and holds the mobile phone or he holds
+
+233
+00:18:36,220 --> 00:18:39,820
+the book or notebook and continues for a long time
+
+234
+00:18:39,820 --> 00:18:43,500
+while reading and his hand extends to the top with
+
+235
+00:18:43,500 --> 00:18:46,380
+the mobile phone and so on, but the down gaze,
+
+236
+00:18:46,900 --> 00:18:51,920
+that is, the near word in general needs the down
+
+237
+00:18:51,920 --> 00:18:54,020
+gaze, needs the down gaze
+
+238
+00:18:58,930 --> 00:19:03,110
+The prismatic effect of lenses becomes clinically
+
+239
+00:19:03,110 --> 00:19:07,170
+important in a patient with anisometropia when the
+
+240
+00:19:07,170 --> 00:19:09,970
+distance correction is different for the two eyes.
+
+241
+00:19:16,320 --> 00:19:19,440
+The patient usually notes these when in the
+
+242
+00:19:19,440 --> 00:19:22,580
+reading position, with the eyes in down gaze, the
+
+243
+00:19:22,580 --> 00:19:26,380
+prismatic effect of each lens differs and causes
+
+244
+00:19:26,380 --> 00:19:29,560
+different amount of image displacement in each
+
+245
+00:19:29,560 --> 00:19:29,900
+eye.
+
+246
+00:19:56,140 --> 00:20:00,820
+In each eye, this leads to vertical diplopia if
+
+247
+00:20:00,820 --> 00:20:03,840
+the image displacements are beyond the patient's
+
+248
+00:20:03,840 --> 00:20:04,720
+fusion ability.
+
+249
+00:20:08,320 --> 00:20:12,020
+there are words that can .. or there are words for
+
+250
+00:20:12,020 --> 00:20:14,760
+fusional ability, the ability to work in fusion
+
+251
+00:20:14,760 --> 00:20:17,900
+and merge two images into one picture the ability
+
+252
+00:20:17,900 --> 00:20:20,540
+of the brain sometimes there is no problem, I mean
+
+253
+00:20:20,540 --> 00:20:23,760
+if the difference between them is one prism, one
+
+254
+00:20:23,760 --> 00:20:26,800
+and a half, two prisms, up to three prisms, some
+
+255
+00:20:26,800 --> 00:20:29,160
+people can handle more than that, like what we
+
+256
+00:20:29,160 --> 00:20:32,820
+have here, four, eight, ten prisms, so sometimes
+
+257
+00:20:32,820 --> 00:20:36,060
+the situation is improbable and often they get
+
+258
+00:20:36,060 --> 00:20:41,130
+upsetvertical diplopia if the difference is
+
+259
+00:20:41,130 --> 00:20:43,570
+greater than the diffusion ability of the brain
+
+260
+00:20:46,520 --> 00:20:49,320
+This is a point that we should consider while
+
+261
+00:20:49,320 --> 00:20:52,440
+describing a glass to a person Usually, it is not
+
+262
+00:20:52,440 --> 00:20:54,740
+recommended that the difference should be more
+
+263
+00:20:54,740 --> 00:20:58,460
+than three diopters between the two eyes in the
+
+264
+00:20:58,460 --> 00:21:01,360
+correction or two and a half diopters A person
+
+265
+00:21:01,360 --> 00:21:04,640
+might say that if I gave this full correction plus
+
+266
+00:21:04,640 --> 00:21:07,540
+two and here I gave it up to plus five, it still
+
+267
+00:21:07,540 --> 00:21:13,720
+has plus threemaybe they need other means to avoid
+
+268
+00:21:13,720 --> 00:21:16,920
+this problem such as contact lenses and so on and
+
+269
+00:21:16,920 --> 00:21:23,080
+all of this is explained in different refraction
+
+270
+00:21:23,080 --> 00:21:28,300
+methods Okay,
+
+271
+00:21:28,760 --> 00:21:34,510
+prismatic effectmust be anticipated in the design
+
+272
+00:21:34,510 --> 00:21:38,110
+of bifocal lenses to minimize image displacement
+
+273
+00:21:38,110 --> 00:21:41,870
+and image jump image displacement and image jump
+
+274
+00:21:41,870 --> 00:21:48,850
+And this is really not an easy topic, but it needs
+
+275
+00:21:48,850 --> 00:21:52,990
+drawings to make us imagine
+
+276
+00:21:58,680 --> 00:22:02,540
+We start by saying that when we make bifocal
+
+277
+00:22:02,540 --> 00:22:06,920
+lenses Bifocal lenses, that is, a binary lens of
+
+278
+00:22:06,920 --> 00:22:10,440
+dimensions, distance to distance and distance to
+
+279
+00:22:10,440 --> 00:22:14,140
+near It can happen to me during the design of the
+
+280
+00:22:14,140 --> 00:22:18,720
+bifocal lens Some problems related to image
+
+281
+00:22:18,720 --> 00:22:23,540
+displacement and what produces image jump Image
+
+282
+00:22:23,540 --> 00:22:27,740
+jump, let's see how this issue happens with usBut
+
+283
+00:22:27,740 --> 00:22:30,700
+the first thing we see is the bifocal lenses, this
+
+284
+00:22:30,700 --> 00:22:33,380
+is the bifocal lens, this is the segment for the
+
+285
+00:22:33,380 --> 00:22:36,580
+distance and this is the piece for the near, this
+
+286
+00:22:36,580 --> 00:22:40,960
+is to look at the distant target and this is to
+
+287
+00:22:40,960 --> 00:22:46,860
+look at the near targetThis is a simulation, here
+
+288
+00:22:46,860 --> 00:22:48,900
+it is written on it distant target, this whole
+
+289
+00:22:48,900 --> 00:22:51,580
+piece is from the lens of the glasses to the
+
+290
+00:22:51,580 --> 00:22:53,920
+distance and this piece is usually a little bit
+
+291
+00:22:53,920 --> 00:23:02,680
+redder than near target Now I have two types of
+
+292
+00:23:02,680 --> 00:23:07,630
+bifocalHe brought their glasses to fix them in the
+
+293
+00:23:07,630 --> 00:23:11,750
+glasses and of course you will study this topic in
+
+294
+00:23:11,750 --> 00:23:13,590
+use in dispensing and refraction But here in
+
+295
+00:23:13,590 --> 00:23:17,110
+geometric optics we want to focus on some things
+
+296
+00:23:17,110 --> 00:23:21,750
+These are called round top bifocal round top
+
+297
+00:23:21,750 --> 00:23:28,290
+bifocal means bifocal glasses or bifocal lens here
+
+298
+00:23:28,290 --> 00:23:30,170
+for this piece in the distance and this is its
+
+299
+00:23:30,170 --> 00:23:33,790
+centerand here also there is a different focal
+
+300
+00:23:33,790 --> 00:23:38,550
+length and this is the center of the lens why we
+
+301
+00:23:38,550 --> 00:23:40,690
+call it round top bifocal? because the near
+
+302
+00:23:40,690 --> 00:23:44,430
+segment is the
+
+303
+00:23:44,430 --> 00:23:47,730
+highest part of it is a part of the round which
+
+304
+00:23:47,730 --> 00:23:51,890
+means it is a complete circular lens this is
+
+305
+00:23:51,890 --> 00:23:55,670
+called flat top bifocal which means here this lens
+
+306
+00:23:55,670 --> 00:24:00,800
+is projected from here and it is fixedبالشكل اللي
+
+307
+00:24:00,800 --> 00:24:04,440
+احنا شايفينه و هدى round top bifocal و هدى flat
+
+308
+00:24:04,440 --> 00:24:08,960
+top او flat top bifocal يعني الجزء الاعلى منها
+
+309
+00:24:08,960 --> 00:24:14,840
+flat اش الهدف من اني استعمل flat top و مااستعملش
+
+310
+00:24:14,840 --> 00:24:18,380
+مثلا ال round top اذا ملاحظين ال center تاع ال
+
+311
+00:24:18,380 --> 00:24:21,660
+distance segment و ال center تاع ال near segment
+
+312
+00:24:21,660 --> 00:24:26,380
+تبعد في ال round top bifocalAnd here in the flat
+
+313
+00:24:26,380 --> 00:24:29,900
+top bifocal, the center of the distance segment
+
+314
+00:24:29,900 --> 00:24:32,100
+and the center of the near segment is the center
+
+315
+00:24:32,100 --> 00:24:35,680
+of the lens An experiment in the flat top bifocal
+
+316
+00:24:35,680 --> 00:24:39,760
+This difference solves a very big problem Solves a
+
+317
+00:24:39,760 --> 00:24:43,820
+very big problem Let's see what will happen to him
+
+318
+00:24:43,820 --> 00:24:51,910
+This man wears bifocal lensesThe distance segment
+
+319
+00:24:51,910 --> 00:24:55,730
+we drew with red color And the near segment we
+
+320
+00:24:55,730 --> 00:24:59,710
+drew with blue color The near segment is called
+
+321
+00:24:59,710 --> 00:25:03,930
+add, why it is called add? Because when a person
+
+322
+00:25:03,930 --> 00:25:07,030
+draws through the near segment, he draws through
+
+323
+00:25:07,030 --> 00:25:09,910
+the near segment with distance correction, that
+
+324
+00:25:09,910 --> 00:25:13,990
+is, through a double lens Through a double lens
+
+325
+00:25:13,990 --> 00:25:18,430
+Okay, so we drew the distance segment with red
+
+326
+00:25:18,430 --> 00:25:23,340
+colorand the near segment we marked it with blue
+
+327
+00:25:23,340 --> 00:25:27,200
+color ok is this round top or flat top? this is
+
+328
+00:25:27,200 --> 00:25:29,760
+round top by focus that is, we came here and
+
+329
+00:25:29,760 --> 00:25:33,500
+marked it like this this is the center we marked
+
+330
+00:25:33,500 --> 00:25:37,500
+the lens vertically and showed it with colors this
+
+331
+00:25:37,500 --> 00:25:39,900
+is the center of the distance segment and this is
+
+332
+00:25:39,900 --> 00:25:42,720
+the center of the near segment when I start
+
+333
+00:25:42,720 --> 00:25:44,420
+looking at the distance target
+
+334
+00:25:47,270 --> 00:26:05,890
+I want to look at distant target I
+
+335
+00:26:05,890 --> 00:26:11,210
+want
+
+336
+00:26:11,210 --> 00:26:14,610
+to look straight through
+
+337
+00:26:17,690 --> 00:26:20,390
+the center of the distance segment through the
+
+338
+00:26:20,390 --> 00:26:27,010
+center of the distance segment and
+
+339
+00:26:27,010 --> 00:26:32,710
+then I
+
+340
+00:26:32,710 --> 00:26:40,090
+click directly now it came to my imagination or I
+
+341
+00:26:40,090 --> 00:26:43,350
+thought that I click on near target to see my
+
+342
+00:26:43,350 --> 00:26:48,060
+mobile phoneor what is similar, so I want to look
+
+343
+00:26:48,060 --> 00:26:55,980
+at .. I
+
+344
+00:26:55,980 --> 00:27:00,040
+want to look at my mobile or any target The
+
+345
+00:27:00,040 --> 00:27:07,030
+question isthe eye immediately moves in
+
+346
+00:27:07,030 --> 00:27:11,230
+nanoseconds from this position to this position
+
+347
+00:27:11,230 --> 00:27:17,650
+the eye while looking straight I drew its frame in
+
+348
+00:27:17,650 --> 00:27:23,330
+red to distinguish it while looking straight when
+
+349
+00:27:23,330 --> 00:27:27,300
+looking in the down gaze I drewthe same eye, it is
+
+350
+00:27:27,300 --> 00:27:29,740
+the same eye, but it moves gradually, it does not
+
+351
+00:27:29,740 --> 00:27:33,560
+move from this position to this position, it moves
+
+352
+00:27:33,560 --> 00:27:38,760
+down in nanoseconds, it moves gradually, it takes
+
+353
+00:27:38,760 --> 00:27:41,880
+part of the time, it may take a second or less
+
+354
+00:27:41,880 --> 00:27:43,320
+than a second, but it does not happen in
+
+355
+00:27:43,320 --> 00:27:46,500
+nanoseconds, okay, during the passage of the eye
+
+356
+00:27:46,500 --> 00:27:50,060
+in this region, during the beginning of its
+
+357
+00:27:50,060 --> 00:27:51,620
+descent, its descent, its descent, it goes down in
+
+358
+00:27:51,620 --> 00:27:54,860
+half a second, it happens in this position,Okay,
+
+359
+00:27:55,120 --> 00:27:58,320
+but in the second sentence, it became seen through
+
+360
+00:27:58,320 --> 00:28:00,940
+this point, through this point, through this
+
+361
+00:28:00,940 --> 00:28:04,560
+point, through this point. This point or this area
+
+362
+00:28:04,560 --> 00:28:07,660
+that the eye passed through before reaching the
+
+363
+00:28:07,660 --> 00:28:13,020
+mobile of this person. When I want to move from
+
+364
+00:28:13,020 --> 00:28:16,180
+the primary position to the straight ahead
+
+365
+00:28:16,180 --> 00:28:19,740
+position, until I walk in the down gaze, I want to
+
+366
+00:28:19,740 --> 00:28:23,080
+go through these sections with my eye fromهذه
+
+367
+00:28:23,080 --> 00:28:26,500
+المقاطع من ال lens بده أمر عليه بمعنى أخر بده أمر
+
+368
+00:28:26,500 --> 00:28:30,590
+عبر prismThe base is down, which means that the
+
+369
+00:28:30,590 --> 00:28:35,430
+image will go up towards its apex That's why when
+
+370
+00:28:35,430 --> 00:28:39,170
+I go from distant target to near target, I feel
+
+371
+00:28:39,170 --> 00:28:42,550
+that when I lower my eye towards the mobile or
+
+372
+00:28:42,550 --> 00:28:44,990
+towards the target that I want to look at, I feel
+
+373
+00:28:44,990 --> 00:28:49,150
+that the image is tilted upwards Why is it tilted
+
+374
+00:28:49,150 --> 00:28:51,310
+upwards? Because my eye is going through or
+
+375
+00:28:51,310 --> 00:28:55,510
+looking or the visual axis is passing through
+
+376
+00:28:55,510 --> 00:29:00,620
+areasin the near segment, through the areas in the
+
+377
+00:29:00,620 --> 00:29:02,980
+near segment, my eye was first in the primary
+
+378
+00:29:02,980 --> 00:29:09,400
+position, then it will go here first
+
+379
+00:29:09,400 --> 00:29:15,300
+thing, it will go here, then it will go here, then
+
+380
+00:29:15,300 --> 00:29:18,060
+it will go here, then it will go here
+
+381
+00:29:27,130 --> 00:29:30,750
+So my eye will go through these channels before it
+
+382
+00:29:30,750 --> 00:29:31,030
+reaches
+
+383
+00:29:37,050 --> 00:29:40,370
+Before you get to the correct position When you go
+
+384
+00:29:40,370 --> 00:29:42,570
+through and look through the prism of the base
+
+385
+00:29:42,570 --> 00:29:46,490
+that is down, an image jumps to the top As if the
+
+386
+00:29:46,490 --> 00:29:48,690
+picture shook with me, this is annoying for the
+
+387
+00:29:48,690 --> 00:29:52,430
+patient That I look at the TV, for example, three
+
+388
+00:29:52,430 --> 00:29:55,890
+or four meters away Through the optical center of
+
+389
+00:29:55,890 --> 00:29:59,110
+the distance segmentAnd then I want to look at my
+
+390
+00:29:59,110 --> 00:30:01,130
+mobile, I want to run my mobile in my hand, I want
+
+391
+00:30:01,130 --> 00:30:04,150
+to get my eyes from the TV to the mobile, I feel
+
+392
+00:30:04,150 --> 00:30:06,390
+as if the mobile is tilted upwards, that is, it
+
+393
+00:30:06,390 --> 00:30:08,750
+has an image jump. What is the reason? That my eye
+
+394
+00:30:08,750 --> 00:30:12,170
+passed through this part of the bifocal lens,
+
+395
+00:30:12,650 --> 00:30:17,570
+which is a part that is like a prism, its base is
+
+396
+00:30:17,570 --> 00:30:21,310
+down. So this image jump, in order to get rid of
+
+397
+00:30:21,310 --> 00:30:26,060
+it,The best thing to do is to do flat top bifocal
+
+398
+00:30:26,060 --> 00:30:29,600
+Flat top bifocal so that I don't go through the
+
+399
+00:30:29,600 --> 00:30:35,680
+part that bothers me When I have a round top, I
+
+400
+00:30:35,680 --> 00:30:40,860
+flat top this part and I have the center of the
+
+401
+00:30:40,860 --> 00:30:44,360
+near segment close to the center of the distance
+
+402
+00:30:44,360 --> 00:30:49,930
+segment, so when I move my eye directlyبقيت أتحرك
+
+403
+00:30:49,930 --> 00:30:54,410
+الصورة باتجاه عيني عيني بتنزل للأسفل وأصبحت أنا
+
+404
+00:30:54,410 --> 00:31:06,970
+بتطلع على ال mobile و
+
+405
+00:31:06,970 --> 00:31:10,940
+أنا بتطلع على ال mobileOr I lower my eye from the
+
+406
+00:31:10,940 --> 00:31:13,860
+primary position towards the mobile phone, I'm
+
+407
+00:31:13,860 --> 00:31:17,180
+looking directly from the center, so I don't have
+
+408
+00:31:17,180 --> 00:31:19,620
+an image jump And if my eye goes down from the
+
+409
+00:31:19,620 --> 00:31:22,860
+center a little bit, I have a phase up prism, so
+
+410
+00:31:22,860 --> 00:31:26,440
+the image moves or the image has a displacement
+
+411
+00:31:26,440 --> 00:31:29,800
+towards my eye movement, not in the opposite
+
+412
+00:31:29,800 --> 00:31:34,390
+direction of my eye movementالصورة انا قاعد بحرك
+
+413
+00:31:34,390 --> 00:31:37,470
+عيني للأسفل باتجاه ال mobile وصورة ال mobile قاعدة
+
+414
+00:31:37,470 --> 00:31:41,730
+بتقفز مني للأعلى بسبب انه ال prism هذا هذا الجزء
+
+415
+00:31:41,730 --> 00:31:45,930
+ال prism هذا بيحرك الصورة باتجاه ال apex بتاعته
+
+416
+00:31:45,930 --> 00:31:50,770
+باتجاه ال apex بتاعته الانسان اللي ممكن
+
+445
+00:33:53,120 --> 00:33:56,680
+نحصل على prismatic effect ويعطيكم العافية والسلام 
+
+446
+00:33:56,680 --> 00:33:59,160
+عليكم ورحمة الله وبركاته
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/vio4C9sJSGo.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/vio4C9sJSGo.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f4ba7e142737024b657cd9b813699f26773f2c17
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/vio4C9sJSGo.srt
@@ -0,0 +1,2096 @@
+
+1
+00:00:02,290 --> 00:00:06,550
+بسم الله الرحمن الرحيم اليوم نيجي لأول مرة في
+
+2
+00:00:06,550 --> 00:00:10,510
+البصريات الهندسية انه ناقش موضوع ال concave lenses
+
+3
+00:00:10,510 --> 00:00:14,450
+او العدسات المقعرة اللي بتشتت الضوء و اللي ايه
+
+4
+00:00:14,450 --> 00:00:18,490
+بعكس العدسات المحددة او ال convex lenses اللي احنا
+
+5
+00:00:18,490 --> 00:00:22,300
+لنا فترة طويلة بنتعامل معاهم In the examples we
+
+6
+00:00:22,300 --> 00:00:26,060
+have used thus far, the lenses have been convex or
+
+7
+00:00:26,060 --> 00:00:30,860
+positive, light emerges from a convex lens more
+
+8
+00:00:30,860 --> 00:00:34,040
+convergent or at least less divergent than it
+
+9
+00:00:34,040 --> 00:00:34,480
+entered.
+
+10
+00:00:38,470 --> 00:00:42,690
+Why does the plus lens look convergent? Or if it
+
+11
+00:00:42,690 --> 00:00:45,010
+doesn't look convergent, then at least there is
+
+12
+00:00:45,010 --> 00:00:49,070
+less divergence than what entered this lens Why?
+
+13
+00:00:49,230 --> 00:00:52,070
+Because the lens adds its positive force, which is
+
+14
+00:00:52,070 --> 00:00:54,510
+less than divergence, which can turn into
+
+15
+00:00:54,510 --> 00:00:59,610
+convergence, or at least less than divergence, and
+
+16
+00:00:59,610 --> 00:01:03,160
+there are many examples of this By contrast على
+
+17
+00:01:03,160 --> 00:01:07,020
+العكس من ذلك ال concave أو ال negative lens makes
+
+18
+00:01:07,020 --> 00:01:10,520
+light more divergent لما بيجيها divergent light من
+
+19
+00:01:10,520 --> 00:01:15,280
+real object بتخليه more divergent بتخليه more
+
+20
+00:01:15,280 --> 00:01:19,240
+divergent A negative lens cannot produce real
+
+21
+00:01:19,240 --> 00:01:22,900
+image of real object real image of real object
+
+22
+00:01:22,900 --> 00:01:26,940
+مستحيل و ألف ألف مستحيل إنه يكون في عندي real
+
+23
+00:01:26,940 --> 00:01:30,790
+object And the negative lens forms a real image of
+
+24
+00:01:30,790 --> 00:01:33,810
+it, why? Because the real object will emit a
+
+25
+00:01:33,810 --> 00:01:37,030
+divergent rays And the negative lens will reach
+
+26
+00:01:37,030 --> 00:01:38,990
+the divergent rays, and it will increase in its
+
+27
+00:01:38,990 --> 00:01:41,050
+role the divergence of the rays, and it will
+
+28
+00:01:41,050 --> 00:01:41,190
+increase in its role the divergence of the rays,
+
+29
+00:01:41,190 --> 00:01:41,390
+the rays, and it will increase in its role the
+
+30
+00:01:41,390 --> 00:01:41,550
+divergence of the rays, and it will increase in
+
+31
+00:01:41,550 --> 00:01:42,750
+its role the divergence of the rays, and it will
+
+32
+00:01:42,750 --> 00:01:44,250
+increase in its role the divergence of the rays,
+
+33
+00:01:44,470 --> 00:01:45,050
+and it will increase in its role the divergence of
+
+34
+00:01:45,050 --> 00:01:45,710
+the rays, and it will increase in its role the
+
+35
+00:01:45,710 --> 00:01:47,370
+divergence of the rays, and it will increase in
+
+36
+00:01:47,370 --> 00:01:47,490
+its role the divergence of the rays, and it will
+
+37
+00:01:47,490 --> 00:01:47,890
+and it will increase in its role the divergence of
+
+38
+00:01:47,890 --> 00:01:49,170
+the rays, and it will increase in its role the
+
+39
+00:01:49,170 --> 00:01:49,530
+divergence of the rays, and it will increase in
+
+40
+00:01:49,530 --> 00:01:50,170
+its role the divergence of the rays, and it will
+
+41
+00:01:50,170 --> 00:01:51,750
+increase in its role the divergence of the rays,
+
+42
+00:01:52,850 --> 00:01:57,030
+and it will increase in its role the
+
+43
+00:01:57,160 --> 00:01:59,640
+When we see that the focal length has become
+
+44
+00:01:59,640 --> 00:02:01,940
+negative, then this is a negative lens and its
+
+45
+00:02:01,940 --> 00:02:04,340
+edges are in the same way that we see them
+
+46
+00:02:04,340 --> 00:02:10,320
+Positive lens has its edges in the same way that
+
+47
+00:02:10,320 --> 00:02:14,780
+we see them, while negative lens has its edges in
+
+48
+00:02:14,780 --> 00:02:16,940
+the same way that we see them If we have a
+
+49
+00:02:16,940 --> 00:02:22,260
+divergent source Divergent source which reduces
+
+50
+00:02:22,260 --> 00:02:26,020
+the density of the ray الاشعة وصلت لل lens
+
+51
+00:02:26,020 --> 00:02:29,760
+divergent وطلعت من ال lens more divergent more
+
+52
+00:02:29,760 --> 00:02:34,800
+divergent اذا مستحيل طالما طلعت more divergent
+
+53
+00:02:34,800 --> 00:02:39,780
+طبعا هذا object حقيقي او صورة طلع منها الاشعة
+
+54
+00:02:39,780 --> 00:02:42,750
+divergent means it is considered a real object as
+
+55
+00:02:42,750 --> 00:02:45,850
+long as the lens has divergent rays then the
+
+56
+00:02:45,850 --> 00:02:48,710
+object from which these rays come is a real object
+
+57
+00:02:48,710 --> 00:02:51,950
+regardless of whether it is a real object or a
+
+58
+00:02:51,950 --> 00:02:55,730
+picture taken by a previous lens and then the
+
+59
+00:02:55,730 --> 00:02:59,370
+light diverges from it to the next lens as long as
+
+60
+00:02:59,370 --> 00:03:02,810
+it is divergent the negative lens or the minus
+
+61
+00:03:02,810 --> 00:03:06,970
+lens cannot form a real image of a real object
+
+62
+00:03:06,970 --> 00:03:09,670
+real image of a real object because the real
+
+63
+00:03:09,670 --> 00:03:13,040
+object The rays come from it divergent and the
+
+64
+00:03:13,040 --> 00:03:15,980
+negative lens increases the divergence as we see
+
+65
+00:03:15,980 --> 00:03:21,020
+So it will not form a real image of a real body We
+
+66
+00:03:21,020 --> 00:03:25,700
+go back to the lecture, we say a negative lens
+
+67
+00:03:25,700 --> 00:03:29,060
+cannot produce a real image of a real object This
+
+68
+00:03:29,060 --> 00:03:32,710
+is a rule, we will color it with another color لأن
+
+69
+00:03:32,710 --> 00:03:36,290
+هو ممكن يعني نسأل عنها في الامتحان أو نسأل عنها في
+
+70
+00:03:36,290 --> 00:03:40,290
+المقابلات التوظيف وما شابه، إذا ال negative lens
+
+71
+00:03:40,290 --> 00:03:44,650
+cannot produce real image of real object طالما
+
+72
+00:03:44,650 --> 00:03:47,670
+الأمر كذلك، إيش فائدة ال negative lens؟ طالما
+
+73
+00:03:47,670 --> 00:03:53,640
+مابتقدرش تكونلي صورة حقيقية طب ليش تستخدم؟ instead
+
+74
+00:03:53,640 --> 00:03:57,400
+بدلا من ذلك a negative lens is usually used in
+
+75
+00:03:57,400 --> 00:04:01,080
+combination with positive lens to alter image
+
+76
+00:04:01,080 --> 00:04:04,960
+characteristics احنا عادة نستعمل ال negative lens
+
+77
+00:04:06,000 --> 00:04:09,080
+as an addition to the positive lens in order to
+
+78
+00:04:09,080 --> 00:04:12,640
+control the characteristics of the image and we
+
+79
+00:04:12,640 --> 00:04:16,460
+will see this by example But before we talk about
+
+80
+00:04:16,460 --> 00:04:18,260
+this by example, we have to say, we have to
+
+81
+00:04:18,260 --> 00:04:21,940
+remember what is image characteristics which we
+
+82
+00:04:21,940 --> 00:04:26,380
+deal with, we deal with magnification and location
+
+83
+00:04:26,380 --> 00:04:30,340
+and quality and brightness and when we entered the
+
+84
+00:04:30,340 --> 00:04:32,880
+first order optics, we said the quality and
+
+85
+00:04:32,880 --> 00:04:38,840
+brightness, we want to leave them aside and deal
+
+86
+00:04:38,840 --> 00:04:42,940
+with location and magnification if I changed the
+
+87
+00:04:42,940 --> 00:04:45,920
+location and therefore changed the magnification,
+
+88
+00:04:46,080 --> 00:04:48,260
+the location is the image distance, if it changes,
+
+89
+00:04:48,400 --> 00:04:51,650
+the magnification will change Because magnification
+
+90
+00:04:51,650 --> 00:04:56,790
+is an image distance over object distance So I can
+
+91
+00:04:56,790 --> 00:05:01,670
+control the image characteristics and change them
+
+92
+00:05:01,670 --> 00:05:03,750
+according to the positive lens of the image
+
+93
+00:05:03,750 --> 00:05:05,290
+according to the positive lens of the image
+
+94
+00:05:05,290 --> 00:05:08,610
+according to the positive lens by using negative
+
+95
+00:05:08,610 --> 00:05:12,400
+lens and it will be clear by example For instance
+
+96
+00:05:12,400 --> 00:05:15,320
+على سبيل المثال انا هنضرب المثال ونقول suppose
+
+97
+00:05:15,320 --> 00:05:19,400
+that an object is 1 meter in front of a plus 6
+
+98
+00:05:19,400 --> 00:05:24,280
+diopter thin lens in air the image is 20 cm behind
+
+99
+00:05:24,280 --> 00:05:28,220
+the lens and the magnification is minus 2 من 10
+
+100
+00:05:28,220 --> 00:05:33,580
+كيف هذا صار نحسب هاي عندي positive lens convex
+
+101
+00:05:33,580 --> 00:05:36,640
+lens عادية اللي احنا متعودين نشتغل معاها في object
+
+102
+00:05:38,710 --> 00:05:43,270
+object, object A, is one meter away from it. What
+
+103
+00:05:43,270 --> 00:05:45,690
+is the image, or where does the image form, and
+
+104
+00:05:45,690 --> 00:05:50,050
+what is the transference magnification? The light
+
+105
+00:05:50,050 --> 00:05:53,310
+will reach a frequency of minus one diopter, and
+
+106
+00:05:53,310 --> 00:05:57,050
+will reach a frequency of plus five diopters. How
+
+107
+00:05:57,050 --> 00:06:00,250
+did this happen? We say that this is the same
+
+108
+00:06:00,250 --> 00:06:03,530
+picture that I drew, which is taken from the book,
+
+109
+00:06:03,810 --> 00:06:06,690
+this picture is taken from the book, I drew it,
+
+110
+00:06:07,050 --> 00:06:09,670
+the object is one meter away, the lens is plus six
+
+111
+00:06:09,670 --> 00:06:12,250
+diopters, we say that U is equal to minus N over
+
+112
+00:06:12,250 --> 00:06:15,190
+O, which is equal to minus one, O which is one
+
+113
+00:06:15,190 --> 00:06:17,430
+meter over one meter, which is equal to minus one
+
+114
+00:06:17,430 --> 00:06:21,150
+diopters, on the quick, on the front surface For
+
+115
+00:06:21,150 --> 00:06:23,310
+the lens, I write minus 1 diopter, which means
+
+116
+00:06:23,310 --> 00:06:26,930
+that the light will reach a magnitude of 1
+
+117
+00:06:26,930 --> 00:06:30,490
+diopter. How will the lens behave if we say that U
+
+118
+00:06:30,490 --> 00:06:34,010
+plus the power will add to its power equal to V,
+
+119
+00:06:34,210 --> 00:06:36,450
+which is equal to the oscillation state of the
+
+120
+00:06:36,450 --> 00:06:38,910
+light when it exits the surface of the rear lens.
+
+121
+00:06:39,450 --> 00:06:44,130
+Minus 1 diopter plus 6 diopters equals V, so V
+
+122
+00:06:44,130 --> 00:06:47,830
+plus 5 diopters As if the lens blocked the charge,
+
+123
+00:06:47,950 --> 00:06:50,870
+which is minus 1, and remained with it 5, then the
+
+124
+00:06:50,870 --> 00:06:55,070
+light turned from divergent to convergent,
+
+125
+00:06:55,270 --> 00:07:00,570
+divergent to 1, to convergent to 5 The light will
+
+126
+00:07:00,570 --> 00:07:03,270
+come out from the back of the lens with plus 5
+
+127
+00:07:03,270 --> 00:07:06,590
+diopters As long as the convergent light will come
+
+128
+00:07:06,590 --> 00:07:10,170
+out from the back of the lens, then I will have a
+
+129
+00:07:10,170 --> 00:07:13,170
+real picture Where is the distance of the picture?
+
+130
+00:07:13,190 --> 00:07:17,450
+We say that V is equal to I unconditionally So I
+
+131
+00:07:17,450 --> 00:07:20,390
+is equal to V unconditionally and is equal to 1
+
+132
+00:07:20,390 --> 00:07:22,890
+over plus 5 diopters We are supposed to write here
+
+133
+00:07:22,890 --> 00:07:29,060
+plus 5 diopters and is equal to Let's write لأن ال
+
+134
+00:07:29,060 --> 00:07:31,200
+V طلعت عنا plus خمسة ديوبة
+
+135
+00:07:40,440 --> 00:07:44,500
+ويساوي واحد ع بلس خمسة ديوبتر ويساوي اتنين من عشرة
+
+136
+00:07:44,500 --> 00:07:47,340
+والديوبتر اللي هو متر أقصى ناقص واحد في المقام لما
+
+137
+00:07:47,340 --> 00:07:50,820
+بيطلع بيصير متر اذا plus اتنين من عشرة متر يعني
+
+138
+00:07:50,820 --> 00:07:53,920
+plus عشرين سانتي ال plus هنا بتعني أن الصورة على
+
+139
+00:07:53,920 --> 00:07:57,600
+اليمين الصورة على اليمين لو حسبنا لل transfers
+
+140
+00:07:57,600 --> 00:08:04,540
+magnification يساوي U على V ويساوي U على الرسمة
+
+141
+00:08:04,540 --> 00:08:09,380
+minus واحد ديوبتر على V plus خمسة ديوبتر
+
+142
+00:08:11,900 --> 00:08:17,640
+ويساوي x minus ع plus minus واحد ع خمسة اتنين من
+
+143
+00:08:17,640 --> 00:08:18,080
+عشرة
+
+144
+00:08:21,380 --> 00:08:23,860
+والديوبتر مع الديوبتر بيروح، إذا ال .. ال
+
+145
+00:08:23,860 --> 00:08:27,420
+magnification minus two من عشرة، minus two من
+
+146
+00:08:27,420 --> 00:08:31,700
+عشرة، و هذا الكلام اختصر ليه في بداية المثال، قال
+
+147
+00:08:31,700 --> 00:08:34,320
+لي الصورة عبعد عشرين سانتي و ال transfers
+
+148
+00:08:34,320 --> 00:08:38,920
+magnification minus two من عشرة، زي ما الرسمة هنا،
+
+149
+00:08:38,920 --> 00:08:41,500
+الصورة عبعد عشرين سانتي و ال .. ال magnification
+
+150
+00:08:41,500 --> 00:08:45,680
+minus two من عشرة، يعني الصورة مجلوبة و خمس ارتفاع
+
+151
+00:08:45,680 --> 00:08:50,470
+ال object الان نفرض جدلا انه احنا مابدناش الصورة
+
+152
+00:08:50,470 --> 00:08:53,730
+تكون جريبة كتير من العدسة بدنا ياها تكون بعيدة
+
+153
+00:08:53,730 --> 00:08:57,270
+يعني بدنا نغير صفات الصورة اش يعني نغير صفات
+
+154
+00:08:57,270 --> 00:09:00,930
+الصورة؟ لما .. لما بنبعد الصورة يعني هنشوف كيف
+
+155
+00:09:00,930 --> 00:09:04,990
+وسيلة إبعاد الصورة لما بنبعد الصورة معناته تغير ال
+
+156
+00:09:04,990 --> 00:09:09,550
+image location وبالتالي تغير ال magnification تغير
+
+157
+00:09:09,550 --> 00:09:14,170
+ال magnification فبالتالي ما هي الوسيلة لإنه احنا
+
+158
+00:09:14,170 --> 00:09:15,170
+ممكن نبعد ..
+
+159
+00:09:23,720 --> 00:09:29,500
+In the beginning of the first order optics, we
+
+160
+00:09:29,500 --> 00:09:32,380
+said that the location of the image is related to
+
+161
+00:09:32,380 --> 00:09:34,840
+the location of the object. The location of the
+
+162
+00:09:34,840 --> 00:09:36,560
+image is related to the location of the object.
+
+163
+00:09:45,680 --> 00:09:53,760
+plus unconditional minus n over
+
+164
+00:09:53,760 --> 00:09:59,900
+R equals unconditional over I
+
+165
+00:10:04,430 --> 00:10:12,250
+This is the lensmaker's equation And we
+
+166
+00:10:12,250 --> 00:10:14,010
+said that as long as O which is the object
+
+167
+00:10:14,010 --> 00:10:17,850
+distance in one side of the equation and I in the
+
+168
+00:10:17,850 --> 00:10:20,930
+other side of the equation if it changed O will
+
+169
+00:10:20,930 --> 00:10:24,110
+change I So the location of the image is related
+
+170
+00:10:24,110 --> 00:10:27,290
+to the location of the object Okay, so to change
+
+171
+00:10:27,290 --> 00:10:29,030
+the location of the image we need to grab the
+
+172
+00:10:29,030 --> 00:10:32,690
+object and move it around and around Okay, is this
+
+173
+00:10:32,690 --> 00:10:34,070
+possible from the practical point of view in
+
+174
+00:10:34,070 --> 00:10:37,910
+practical life? We say it's very difficult to
+
+175
+00:10:37,910 --> 00:10:40,250
+change the location of the object For example, I
+
+176
+00:10:40,250 --> 00:10:42,830
+take a picture or meet a picture, this is a camera
+
+177
+00:10:42,830 --> 00:10:44,590
+lens and I meet a picture of the object, a
+
+178
+00:10:44,590 --> 00:10:49,390
+building or a tree It's very difficult to change
+
+179
+00:10:49,390 --> 00:10:53,410
+its location Okay, let's assume for example that
+
+180
+00:10:53,410 --> 00:10:55,230
+there is a press conference with a person in
+
+181
+00:10:55,230 --> 00:10:58,490
+charge or political or important person I mean, we
+
+182
+00:10:58,490 --> 00:11:01,770
+can't keep saying that he advanced or delayed from
+
+183
+00:11:01,770 --> 00:11:04,890
+the place you are standing in, so it is necessary
+
+184
+00:11:04,890 --> 00:11:08,310
+to find another way to change the attributes of
+
+185
+00:11:08,310 --> 00:11:10,130
+the picture. I don't want the picture here, I want
+
+186
+00:11:10,130 --> 00:11:12,630
+the picture somewhere else. Before we say this
+
+187
+00:11:12,630 --> 00:11:16,050
+method, let's say where do we want the picture to
+
+188
+00:11:16,050 --> 00:11:18,470
+be. The picture in this example is 20 centimeters
+
+189
+00:11:18,470 --> 00:11:21,950
+wide But I want it at a distance of fifty
+
+190
+00:11:21,950 --> 00:11:24,230
+centimeters I want it at a distance of fifty
+
+191
+00:11:24,230 --> 00:11:26,850
+centimeters Now, so that the matter does not mix
+
+192
+00:11:26,850 --> 00:11:46,030
+with us We say as follows So
+
+193
+00:11:46,030 --> 00:11:51,150
+that the matter does not mix with us at all We
+
+223
+00:13:44,260 --> 00:13:47,560
+it became this was alone but when I added the
+
+224
+00:13:47,560 --> 00:13:50,200
+minus lens it became I have two lenses which is
+
+225
+00:13:50,200 --> 00:13:53,180
+the first lens? this is it which is the second
+
+226
+00:13:53,180 --> 00:13:54,540
+lens? this is it why is this the first lens?
+
+227
+00:13:54,800 --> 00:13:56,960
+because it is closest to the object the object
+
+228
+00:13:56,960 --> 00:13:59,820
+will emit light from it as soon as it hits it will
+
+229
+00:13:59,820 --> 00:14:03,560
+hit this lens the light will not go around the
+
+230
+00:14:03,560 --> 00:14:07,060
+minus lens which is the orange colorand enter the
+
+231
+00:14:07,060 --> 00:14:10,820
+plus lens and then enter the minus lens again. The
+
+232
+00:14:10,820 --> 00:14:13,980
+light moves in the geometric optics from left to
+
+233
+00:14:13,980 --> 00:14:17,500
+right. If we move from left to right, we will
+
+234
+00:14:17,500 --> 00:14:21,140
+enter this lens first, then exit it and enter the
+
+235
+00:14:21,140 --> 00:14:24,340
+second lens. So this lens is number one and this
+
+236
+00:14:24,340 --> 00:14:27,600
+lens is number two.The distance between them is 20
+
+237
+00:14:27,600 --> 00:14:33,220
+cm .. 20 .. sorry .. 10 cm .. 10 cm The distance
+
+238
+00:14:33,220 --> 00:14:37,260
+between the object and the plus lens is one meter
+
+239
+00:14:37,260 --> 00:14:41,960
+The distance between the plus lens, which at first
+
+240
+00:14:41,960 --> 00:14:44,960
+was by itself, before adding the minus lens, and
+
+241
+00:14:44,960 --> 00:14:47,820
+the object is one meter The distance between the
+
+242
+00:14:47,820 --> 00:14:51,520
+two lenses is 10 cm, so the distance between the
+
+243
+00:14:51,520 --> 00:14:55,080
+minus lens that I added and the object is 90 cm
+
+244
+00:14:55,670 --> 00:14:59,330
+this is 90 cm and 10 cm which is the distance
+
+245
+00:14:59,330 --> 00:15:02,490
+between the two lenses became this is the meter
+
+246
+00:15:02,490 --> 00:15:08,030
+okay now I want to choose a minus lens with a
+
+247
+00:15:08,030 --> 00:15:12,790
+certain force with a certain force so that the
+
+248
+00:15:12,790 --> 00:15:15,990
+final picture which is picture number two picture
+
+249
+00:15:15,990 --> 00:15:18,590
+of the second lens which is what I'm pointing to
+
+250
+00:15:18,590 --> 00:15:21,950
+has become this second lensThe second one is not
+
+251
+00:15:21,950 --> 00:15:26,010
+in addition, the second one is in order. Now in
+
+252
+00:15:26,010 --> 00:15:27,870
+their order, this is the object, this is the first
+
+253
+00:15:27,870 --> 00:15:29,870
+lens that will receive light from it, and this is
+
+254
+00:15:29,870 --> 00:15:32,290
+the second lens that will receive light from it. I
+
+255
+00:15:32,290 --> 00:15:35,030
+want to choose a certain force for the minus lens,
+
+256
+00:15:35,210 --> 00:15:40,350
+so that the final image of this whole system is 50
+
+257
+00:15:40,350 --> 00:15:45,780
+cm away. How do we do this?كيف نعمل هذا الكلام؟
+
+258
+00:15:45,780 --> 00:15:46,800
+كيف نعمل هذا الكلام؟ كيف نعمل هذا الكلام؟ بنرجع
+
+259
+00:15:46,800 --> 00:15:51,480
+لقاعدة، أول قاعدة، تقول تعامل مع كل عدسة على حدد،
+
+260
+00:15:51,480 --> 00:15:56,660
+أي أنا مجهز المربع، أنا مجهز المربع، وبدأ أحركه
+
+261
+00:15:56,660 --> 00:16:01,320
+عشان أخفي عدسة من العدستين، و أتعامل مع العدسة
+
+262
+00:16:01,320 --> 00:16:07,570
+التانية، طيب، احنا بنفرض الصورةتكونت على بعد خمسين
+
+263
+00:16:07,570 --> 00:16:10,670
+صنطة When will it form on a distance of fifty
+
+264
+00:16:10,670 --> 00:16:17,170
+centimeters? When I choose a lens strength minus
+
+265
+00:16:17,170 --> 00:16:21,750
+appropriateThe lecture today is to deduce this
+
+266
+00:16:21,750 --> 00:16:25,250
+power, to deduce this power Before we start
+
+267
+00:16:25,250 --> 00:16:30,050
+solving this example, we want to move away from
+
+268
+00:16:30,050 --> 00:16:33,750
+geometric optics and go into the world of crimes
+
+269
+00:16:33,750 --> 00:16:37,190
+and investigations and theft crimes and murder and
+
+270
+00:16:37,190 --> 00:16:39,890
+so on A person may find it very strange to say why
+
+271
+00:16:39,890 --> 00:16:42,890
+did we leave geometric optics and move away from
+
+272
+00:16:42,890 --> 00:16:48,260
+itToday our work with lenses and pictures is
+
+273
+00:16:48,260 --> 00:16:52,340
+exactly like the work of a prosecutor When a
+
+274
+00:16:52,340 --> 00:16:55,700
+prosecutor is presented with a crime, he begins to
+
+275
+00:16:55,700 --> 00:16:59,220
+take the last step and goes with it to the
+
+276
+00:16:59,220 --> 00:17:01,300
+beginning of the story In other words, the crime
+
+277
+00:17:01,300 --> 00:17:04,700
+happened for example at nine o'clock in a place in
+
+278
+00:17:04,700 --> 00:17:07,540
+China Who was present in the place in China? For
+
+279
+00:17:07,540 --> 00:17:13,700
+example, a person named Hassanهاتوا حسن بيبدأ يسأل
+
+280
+00:17:13,700 --> 00:17:19,160
+حسن وي .. يعني أستجوبه أين كنت يا حسن؟ أنا كنت
+
+281
+00:17:19,160 --> 00:17:24,020
+مثلا مع علي، علي أين كان في .. في ذلك الوقت؟ كنا
+
+282
+00:17:24,020 --> 00:17:28,680
+مثلا في ال .. في ال .. في مكتب بنقرأ أو بنستعد
+
+283
+00:17:28,680 --> 00:17:33,320
+مثلا ل .. لامتحان قادم علينا أو .. و هكذا لغاية ما
+
+284
+00:17:33,320 --> 00:17:38,090
+يصل لطرف الخيرToday we will take the last line and
+
+285
+00:17:38,090 --> 00:17:41,150
+walk with it until we reach the power of this lens
+
+286
+00:17:41,150 --> 00:17:45,050
+So as long as we take the last line, we will take
+
+287
+00:17:45,050 --> 00:17:50,610
+the last picture which we want to assume is 50 cm
+
+288
+00:17:50,610 --> 00:17:52,490
+in diameter and we start the investigation with
+
+289
+00:17:52,490 --> 00:17:57,670
+this optical system to get
+
+290
+00:17:57,670 --> 00:18:02,360
+the power of the minus lensحنمشي برجوع، يعني
+
+291
+00:18:02,360 --> 00:18:05,760
+العدسة اللي هنحقق معها في الأول هاي و الصورة اللي
+
+292
+00:18:05,760 --> 00:18:10,000
+هنحقق معها هاي، هنشوف كيف أن الأمر بسيط وسهل و
+
+293
+00:18:10,000 --> 00:18:15,800
+بنقول كالقاتي هنخفي هذه العدسة،
+
+294
+00:18:15,800 --> 00:18:22,420
+هذه الصورة هنزيلها تماماAnd we say that we want to
+
+295
+00:18:22,420 --> 00:18:25,000
+assume that the image of the plus lens is formed
+
+296
+00:18:25,000 --> 00:18:30,020
+on a distance of fifty centimeters from the plus
+
+297
+00:18:30,020 --> 00:18:35,500
+lens We want to ask ourselves a question We start
+
+298
+00:18:35,500 --> 00:18:46,120
+.. We
+
+299
+00:18:46,120 --> 00:18:55,220
+start a question, we say when?تتكون .. او
+
+300
+00:18:55,220 --> 00:19:01,260
+متى تكون .. متى تكون I2
+
+301
+00:19:01,260 --> 00:19:05,120
+اللي هي الصورة التانية لازم نكتبها باللغة
+
+302
+00:19:05,120 --> 00:19:12,320
+الإنجليزية I2
+
+303
+00:19:12,320 --> 00:19:15,500
+متى تكون .. اللي هي الصورة رقم اتنين
+
+304
+00:19:22,110 --> 00:19:33,570
+على بعد خمسين صنطة Let's talk
+
+305
+00:19:33,570 --> 00:19:37,970
+in English and I will explain in Arabic because
+
+306
+00:19:37,970 --> 00:19:46,870
+the writing will be easier When I2 تساوي
+
+307
+00:19:46,870 --> 00:19:57,720
+خمسين صنطةالجواب، الجواب، نقول I to تساوي،
+
+308
+00:19:57,720 --> 00:20:01,840
+ليه I تساوي؟
+
+309
+00:20:01,840 --> 00:20:06,600
+تساوي I، لأ، بدنا نكتبها small letter عشان I، ليه
+
+310
+00:20:06,600 --> 00:20:16,220
+الصورة التانية؟ تساوي، Uncharted على V ليش؟
+
+311
+00:20:16,220 --> 00:20:22,480
+لأن V تساوي Uncharted على IV is equal to I is
+
+312
+00:20:22,480 --> 00:20:27,200
+equal to I is equal to I is equal to I is equal to
+
+313
+00:20:27,200 --> 00:20:28,660
+I is equal to I is equal to I is equal to I is
+
+314
+00:20:28,660 --> 00:20:29,120
+equal to I is equal to I is equal to I is equal to
+
+315
+00:20:29,120 --> 00:20:30,780
+I is equal to I is equal to I is equal to I is
+
+316
+00:20:30,780 --> 00:20:30,900
+equal to I is equal to I is equal to I is equal to
+
+317
+00:20:30,900 --> 00:20:31,400
+I is equal to I is equal to I is equal to I is
+
+318
+00:20:31,400 --> 00:20:33,720
+equal to I is equal to I is equal to I is equal to
+
+319
+00:20:33,720 --> 00:20:37,400
+I is equal to I is equal to I is equal to I is
+
+320
+00:20:37,400 --> 00:20:37,700
+I is equal to I is equal to I is equal to I is
+
+321
+00:20:37,700 --> 00:20:40,080
+equal to I is equal to I is equal to I is equal to
+
+322
+00:20:40,080 --> 00:20:48,100
+I is equal to I is equal
+
+323
+00:20:51,190 --> 00:21:00,170
+then we say what is it? one over plus half meter
+
+324
+00:21:00,170 --> 00:21:06,230
+means plus two diopters what does it mean that v
+
+325
+00:21:06,230 --> 00:21:09,250
+is equal to plus two diopters? as if this example
+
+326
+00:21:09,250 --> 00:21:14,630
+says if
+
+327
+00:21:14,630 --> 00:21:18,730
+you want the image to be fifty centimeters awayIt
+
+328
+00:21:18,730 --> 00:21:22,510
+means that V, V of the plus lens, which is the
+
+329
+00:21:22,510 --> 00:21:25,810
+quadrilateral case, when it comes out of the plus
+
+330
+00:21:25,810 --> 00:21:29,870
+lens, it must be plus two diodes It must be plus
+
+331
+00:21:29,870 --> 00:21:33,930
+two diodes Without this, the image will be either
+
+332
+00:21:33,930 --> 00:21:39,530
+wider or closer It must be V plus two diodes Now,
+
+333
+00:21:41,010 --> 00:21:44,910
+which V we assumed to be two diodes? Plus two
+
+334
+00:21:44,910 --> 00:21:48,570
+diodesSo when the picture is half a meter away,
+
+335
+00:21:49,110 --> 00:21:53,990
+the answer is when v is plus two diopter The
+
+336
+00:21:53,990 --> 00:21:57,050
+second question is derived from the first question
+
+337
+00:21:57,050 --> 00:22:04,490
+when v is equal to plus two diopter This question
+
+338
+00:22:04,490 --> 00:22:07,350
+asks itself, okay, how do I make v plus two
+
+339
+00:22:07,350 --> 00:22:10,830
+diopter? Okay, we say v is related to the
+
+340
+00:22:10,830 --> 00:22:15,630
+equation, we say u plus p
+
+341
+00:22:19,440 --> 00:22:23,440
+I want V plus two diopters. The power is known,
+
+342
+00:22:23,560 --> 00:22:27,080
+six diopters. It means that U must have a certain
+
+343
+00:22:27,080 --> 00:22:30,960
+amount to make V remain two diopters. We say U
+
+344
+00:22:30,960 --> 00:22:36,700
+plus B is equal to V. U is unknown. I still don't
+
+345
+00:22:36,700 --> 00:22:41,550
+know it. And the power is six diopters.يساوي V
+
+346
+00:22:41,550 --> 00:22:43,990
+اللي انا طلعتها او بديها اتنين ديوبتر يساوي V اللي
+
+347
+00:22:43,990 --> 00:22:44,990
+انا طلعتها او بديها اتنين ديوبتر يساوي V اللي انا
+
+348
+00:22:44,990 --> 00:22:46,150
+طلعتها او بديها اتنين ديوبتر يساوي V اللي انا
+
+349
+00:22:46,150 --> 00:22:46,950
+طلعتها او بديها اتنين ديوبتر يساوي V اللي انا
+
+350
+00:22:46,950 --> 00:22:51,210
+طلعتها او بديها اتنين ديوبتر يساوي V اللي انا
+
+351
+00:22:51,210 --> 00:22:52,690
+طلعتها او بديها اتنين ديوبتر يساوي V اللي انا
+
+352
+00:22:52,690 --> 00:22:57,850
+طلعتها او بديها اتنين ديوبتر يساوي V اللي انا
+
+353
+00:22:57,850 --> 00:23:01,810
+طلعتها او بديها اتنين ديوبتر يساوي V اللي اwhen u
+
+354
+00:23:01,810 --> 00:23:05,450
+has u that is connected to this lens with a
+
+355
+00:23:05,450 --> 00:23:07,510
+certain amplitude and has a certain amount of
+
+356
+00:23:07,510 --> 00:23:11,230
+amplitude it gives me plus two diopters on the
+
+357
+00:23:11,230 --> 00:23:14,370
+back surface of the lens okay? or you see how much
+
+358
+00:23:14,370 --> 00:23:17,090
+this u equals we said that u plus six diopters
+
+359
+00:23:17,090 --> 00:23:24,070
+equals two diopters so u equals plus two diopters
+
+360
+00:23:24,070 --> 00:23:34,810
+minus six dioptersويساوي minus 4 diopter okay
+
+361
+00:23:34,810 --> 00:23:41,170
+minus 4 diopter شيء جميل جدا طبعا احنا هنا بدي
+
+362
+00:23:41,170 --> 00:23:47,270
+ارسمها باللون الأزرق عشانها تابع للعدسة الزرقاء و
+
+363
+00:23:47,270 --> 00:23:55,090
+ايضا لما you تصير minus 4 diopterthen v will be
+
+364
+00:23:55,090 --> 00:24:00,690
+plus two diopter, then minus
+
+365
+00:24:00,690 --> 00:24:17,730
+four diopter, also with the blue color because ..
+
+366
+00:24:17,730 --> 00:24:25,470
+Excellent, as if I sayin case of the polarity of
+
+367
+00:24:25,470 --> 00:24:28,710
+the light that comes to the lens to plus in case
+
+368
+00:24:28,710 --> 00:24:30,670
+of the polarity of the light that comes to the
+
+369
+00:24:30,670 --> 00:24:34,150
+lens to plus in case of equal to minus four
+
+370
+00:24:34,150 --> 00:24:38,570
+diopters I will have plus two diopters the lens
+
+371
+00:24:38,570 --> 00:24:42,170
+will emit plus four diopters of its power to
+
+372
+00:24:42,170 --> 00:24:45,890
+cancel this polarity and it will stay with it plus
+
+373
+00:24:45,890 --> 00:24:48,710
+two diopters then the image will form on a
+
+374
+00:24:48,710 --> 00:24:49,030
+dimension
+
+375
+00:24:51,880 --> 00:24:55,240
+on a distance of 50 cm. Are we done yet? So this
+
+376
+00:24:55,240 --> 00:24:59,180
+is the first question, when the image is on a
+
+377
+00:24:59,180 --> 00:25:04,020
+distanceWhen the image is at a distance of 50 cm?
+
+378
+00:25:04,200 --> 00:25:07,600
+The answer is when v is plus two diopters The
+
+379
+00:25:07,600 --> 00:25:10,520
+second question, when v is plus two diopters? I
+
+380
+00:25:10,520 --> 00:25:12,820
+put questions, these are the questions of
+
+381
+00:25:12,820 --> 00:25:18,160
+verification When v is plus two diopters when u is
+
+382
+00:25:18,160 --> 00:25:22,860
+minus four diopters? Now the third question, when
+
+383
+00:25:22,860 --> 00:25:33,040
+u is minus four diopters? What is u?U is the
+
+384
+00:25:33,040 --> 00:25:35,140
+refractive state of the light coming from the
+
+385
+00:25:35,140 --> 00:25:39,220
+object. This is a refractive state for whom? For
+
+386
+00:25:39,220 --> 00:25:42,280
+the light coming from the object. We will know any
+
+387
+00:25:42,280 --> 00:25:45,700
+object, but this light reaches the lens with a
+
+388
+00:25:45,700 --> 00:25:49,560
+refractive state of minus four diopters. Sometimes
+
+389
+00:25:49,560 --> 00:25:52,220
+the V will become plus two diopters and sometimes
+
+390
+00:25:52,220 --> 00:25:56,700
+the image will be over fifty centimeters. Now this
+
+391
+00:25:56,700 --> 00:26:01,260
+light comes from the object of this lens.reached
+
+392
+00:26:01,260 --> 00:26:03,640
+the surface of the lens, then this object of this
+
+393
+00:26:03,640 --> 00:26:09,060
+lens of this lens, the plus when is the amplitude
+
+394
+00:26:09,060 --> 00:26:12,460
+of the light that comes from the object of this
+
+395
+00:26:12,460 --> 00:26:15,780
+lens equal to minus four diopters when u is minus
+
+396
+00:26:15,780 --> 00:26:19,760
+four diopters when the object is at certain
+
+397
+00:26:19,760 --> 00:26:28,480
+distances the answer is u is equal to negative n
+
+398
+00:26:28,480 --> 00:26:29,020
+over o
+
+399
+00:26:34,850 --> 00:26:44,110
+و تساوي ناقص n على u بدّلهم مكان بعضهم و يساوي
+
+400
+00:26:44,110 --> 00:26:49,610
+ناقص واحد أسف
+
+401
+00:26:49,610 --> 00:26:53,010
+في نقطة ضروري احنا برضه لما ال object يكون لسه
+
+402
+00:26:53,010 --> 00:26:58,170
+مكانه مجهول بنقول n على o مش ناقص n على o n على o
+
+403
+00:26:58,170 --> 00:27:01,390
+اذا
+
+404
+00:27:01,390 --> 00:27:14,330
+وequals N over U and equals N one over U minus
+
+405
+00:27:14,330 --> 00:27:20,470
+four diopters minus four diopters and equals one
+
+406
+00:27:20,470 --> 00:27:25,930
+over minus four minus a quarter and
+
+407
+00:27:25,930 --> 00:27:30,090
+the diopter meter is minus one which meansلما بطلع
+
+408
+00:27:30,090 --> 00:27:35,870
+بيصير meter ويساوي minus خمسة وعشرين centimeter
+
+409
+00:27:35,870 --> 00:27:42,050
+بمعنى آخر if I want to
+
+445
+00:30:41,360 --> 00:30:46,540
+accurately. **The** object of **this** lens It is at the
+
+446
+00:30:46,540 --> 00:30:49,700
+same time a picture of **the** minus lens Because **the**
+
+447
+00:30:49,700 --> 00:30:52,000
+picture of **the** first lens, which is **the** minus, of
+
+448
+00:30:52,000 --> 00:30:54,340
+course we go back and forth But it does not mean
+
+449
+00:30:54,340 --> 00:30:56,340
+that we go back and forth that this is **the** first
+
+450
+00:30:56,340 --> 00:30:59,540
+lens No, we are evaluating when **the** picture will
+
+451
+00:30:59,540 --> 00:31:01,600
+be at a distance of fifty centimeters when V is
+
+452
+00:31:01,600 --> 00:31:06,480
+plus two Well, when V is plus two when U is minus
+
+453
+00:31:06,480 --> 00:31:10,080
+four Minus four will take plus four of **the** power
+
+454
+00:31:10,080 --> 00:31:12,100
+of **the** lens to cancel **the** distortion and will
+
+455
+00:31:12,100 --> 00:31:14,930
+remain with **the** lens plus two Okay, when does u
+
+456
+00:31:14,930 --> 00:31:21,550
+become minus 4 when **the** body of **the** lens is 25 cm
+
+457
+00:31:21,550 --> 00:31:25,880
+on its left?الان جسم العدسة هاى هو صورة العدسة هاى
+
+458
+00:31:25,880 --> 00:31:30,040
+اذا كان جسم العدسة هاى اللى هو صورة العدسة هاى
+
+459
+00:31:30,040 --> 00:31:35,100
+بيبعد عن العدسة ال plus خمسة وعشرين صنطة والمسافة
+
+460
+00:31:35,100 --> 00:31:39,700
+بين العدسة تين عشر صنطة اذا هذه الصورة تحت العدسة
+
+461
+00:31:39,700 --> 00:31:45,240
+هى تبعد عنها هذه هذه الصورة الصورة تحت العدسة ال
+
+462
+00:31:45,240 --> 00:31:51,620
+minus تبعد عنها خمستاشر صنطة طيب الان تقريبا احنا
+
+463
+00:31:51,620 --> 00:31:59,000
+وصلنالما قبل النهاية Now **this** body of **the** lens, I
+
+464
+00:31:59,000 --> 00:32:01,040
+want to forget that it's a body Now we're done
+
+465
+00:32:01,040 --> 00:32:06,900
+working with **the** plus lens,
+
+466
+00:32:06,960 --> 00:32:10,370
+we want to work with **the** minus lens إذا قلنا
+
+467
+00:32:10,370 --> 00:32:14,810
+كالقاتى أو قبل ما نشتغل بنقول كالقاتى إذا بدنا u
+
+468
+00:32:14,810 --> 00:32:19,070
+تساوي minus 4 الجسم بتاع هذه العدسة بد يكون عبعد
+
+469
+00:32:19,070 --> 00:32:26,240
+25 cm منها زي ما المعادلة وضحت Okay, we put **the**
+
+470
+00:32:26,240 --> 00:32:30,080
+body of **this** lens, which is **the** virtual image of
+
+471
+00:32:30,080 --> 00:32:35,460
+**this** lens, virtual because **the** minus lens is
+
+472
+00:32:35,460 --> 00:32:38,420
+impossible to form a real image of a real body,
+
+473
+00:32:38,480 --> 00:32:40,960
+**this** is a real body and **this** minus lens does not
+
+474
+00:32:40,960 --> 00:32:44,060
+form a real image, so it forms an imaginary image
+
+475
+00:32:44,060 --> 00:32:46,600
+of it. Now, quite simply,
+
+476
+00:32:48,960 --> 00:32:53,280
+**the** last step I have left is
+
+477
+00:32:57,330 --> 00:33:00,130
+in **the** subject of **the** minus power of **the** lens we
+
+478
+00:33:00,130 --> 00:33:10,270
+say as follows I go and open a square text we
+
+479
+00:33:10,270 --> 00:33:15,510
+say now I have **this** picture of **this** lens and **this**
+
+480
+00:33:15,510 --> 00:33:20,890
+is **the** body of **this** lens we say minus N over O
+
+481
+00:33:20,890 --> 00:33:26,070
+plus power
+
+482
+00:33:26,870 --> 00:33:32,230
+يساوي ناقص أنشرطة على I يساوي ناقص أنشرطة على I
+
+483
+00:33:32,230 --> 00:33:35,210
+يساوي ناقص أنشرطة على I يساوي ناقص أنشرطة على I
+
+484
+00:33:35,210 --> 00:33:37,990
+يساوي ناقص أنشرطة على I يساوي ناقص أنشرطة على I
+
+485
+00:33:37,990 --> 00:33:40,550
+يساوي ناقص أنشرطة على I يساوي ناقص أنشرطة على I
+
+486
+00:33:40,550 --> 00:33:44,970
+يساوي ناقص أنشرطة على I يساوي ناقص أنشرطة على I
+
+487
+00:33:44,970 --> 00:33:47,950
+يساوي ناقص أنشرطة على I يساوي ناقص أنشرطة على I
+
+488
+00:33:47,950 --> 00:33:53,270
+يساوي ناقص أنشرطة على I يساوي ناقص أنشرطة على I
+
+489
+00:33:53,270 --> 00:33:55,550
+يساوي ناقص أنشرطة على
+
+490
+00:33:58,380 --> 00:34:05,100
+Plus **the** power which is unknown Equals negative
+
+491
+00:34:05,100 --> 00:34:10,280
+one over I which is fifteen centimeters Fifteen
+
+492
+00:34:10,280 --> 00:34:14,760
+out of one hundred meters We
+
+493
+00:34:14,760 --> 00:34:17,880
+will see what will happen to us Negative one, we
+
+494
+00:34:17,880 --> 00:34:20,920
+will go to **the** calculator One divided by nine from
+
+495
+00:34:20,920 --> 00:34:24,400
+ten One divided by nine from ten
+
+496
+00:34:34,630 --> 00:34:40,350
+calculator we say one divided by nine out of ten
+
+497
+00:34:40,350 --> 00:34:46,290
+is equal we will take first two numbers one and
+
+498
+00:34:46,290 --> 00:34:50,390
+eleven out of one hundred so minus one over nine
+
+499
+00:34:50,390 --> 00:34:54,270
+out of ten so minus one and eleven out of one
+
+500
+00:34:54,270 --> 00:34:56,490
+hundred **the** meter when it goes up becomes a
+
+501
+00:34:56,490 --> 00:34:58,810
+diopter plus **the** power
+
+502
+00:35:04,290 --> 00:35:08,490
+**the** power which is unknown is equal to I will go
+
+503
+00:35:08,490 --> 00:35:15,910
+to **the** calculator again and say one divided by
+
+504
+00:35:15,910 --> 00:35:21,390
+fifteen percent is
+
+505
+00:35:21,390 --> 00:35:24,810
+equal to I will also take **the** first two numbers
+
+506
+00:35:24,810 --> 00:35:29,070
+six and sixty-six percent minus
+
+507
+00:35:30,860 --> 00:35:35,020
+of course here we put **the** minus sign 6 is correct
+
+508
+00:35:35,020 --> 00:35:42,200
+and 66% diopter now **the** minus 1 and 11% diopter we
+
+509
+00:35:42,200 --> 00:35:46,220
+move them to **the** other side so **the** power equals
+
+510
+00:35:46,220 --> 00:35:57,640
+minus 6 and 66% diopter plusو minus زائد واحد ال
+
+511
+00:35:57,640 --> 00:36:04,380
+minus بصير زائد plus واحد و احداش من مية ديوبتر و
+
+512
+00:36:04,380 --> 00:36:12,240
+يساوي minus خمسة و خمسة و خمسين من مية ديوبتر اذا
+
+513
+00:36:12,240 --> 00:36:19,320
+هذه
+
+514
+00:36:19,320 --> 00:36:24,590
+هي قوة العدسة اللي لو وضعتها على بعدTen
+
+515
+00:36:24,590 --> 00:36:35,610
+centimeters in front of **the** plus lens will
+
+516
+00:36:35,610 --> 00:36:41,180
+give me a full image at half a meter اللي بده يتأكد
+
+517
+00:36:41,180 --> 00:36:45,160
+من الموضوع هذا ممكن يرسم المسألة نقول الجسم على
+
+518
+00:36:45,160 --> 00:36:50,720
+بعد 90 cm من عدسة minus و خلف العدسة ال minus ب10
+
+519
+00:36:50,720 --> 00:36:55,280
+cm في عدسة plus قوتها plus diopter و يبلش الآن او
+
+520
+00:36:55,280 --> 00:36:58,600
+يبدأ من الآن يتحرك من الشمال لليمين زي ما احنا
+
+521
+00:36:58,600 --> 00:37:04,470
+متعودين هيلاجى انه ..By using a lens of minus 55%
+
+522
+00:37:04,470 --> 00:37:06,830
+of a diopter, **the** final image, which is **the** image
+
+523
+00:37:06,830 --> 00:37:09,730
+of **the** second lens, will be formed at a distance
+
+524
+00:37:09,730 --> 00:37:17,770
+of 50 cm Now we will try to simulate **this** problem
+
+525
+00:37:17,770 --> 00:37:23,650
+and see if we can do it or if there is a problem
+
+526
+00:37:23,650 --> 00:37:28,150
+with us We say as follows, we want a lens to be
+
+527
+00:37:31,160 --> 00:37:38,400
+Plus lens, plus lens principally **The**
+
+528
+00:37:38,400 --> 00:37:46,900
+plus lens should have a diameter of 16 cm which is
+
+529
+00:37:46,900 --> 00:37:48,580
+166.66 mm
+
+530
+00:37:51,760 --> 00:37:55,200
+**this** is her strength plus 6 diopters now plus 6
+
+531
+00:37:55,200 --> 00:38:00,980
+diopters now based on her focal length okay now we
+
+532
+00:38:00,980 --> 00:38:07,940
+need **the** ruler, we need **the** ruler a lot because of
+
+533
+00:38:07,940 --> 00:38:17,480
+**the** distances if
+
+534
+00:38:17,480 --> 00:38:21,000
+we come to a distance of one meter
+
+535
+00:38:29,850 --> 00:38:37,670
+on meter distance 100cm **this**
+
+536
+00:38:37,670 --> 00:38:53,190
+is meter which is 1000mm then
+
+537
+00:38:53,190 --> 00:38:55,310
+we get point source of light
+
+538
+00:39:08,020 --> 00:39:13,580
+we get point source of light and put it at **the**
+
+539
+00:39:13,580 --> 00:39:18,480
+beginning of **the** meter we
+
+540
+00:39:18,480 --> 00:39:24,260
+decrease **the** density a little bit
+
+541
+00:39:24,260 --> 00:39:25,740
+we say as follows
+
+542
+00:39:37,640 --> 00:39:42,060
+If you notice, **the** lens is at 1000, **the** image is
+
+543
+00:39:42,060 --> 00:39:48,620
+at 20cm, 200mm, 200mm I want to go 10cm away and
+
+544
+00:39:48,620 --> 00:39:55,280
+put a lens that is minus 5.55, we say **the** minus
+
+545
+00:39:55,280 --> 00:40:01,180
+lens, to know **the** focal length, we say 1
+
+546
+00:40:06,260 --> 00:40:14,300
+5.55 which is equal to about 18 cm which is 180 mm
+
+547
+00:40:14,300 --> 00:40:19,060
+180 mm, we will make **the** focal length We want to
+
+548
+00:40:19,060 --> 00:40:22,920
+add a lens 10 cm away from **the** first lens in front
+
+549
+00:40:22,920 --> 00:40:30,360
+of it and we see **this** is a lens but let's get rid
+
+550
+00:40:30,360 --> 00:40:34,950
+of some of **the** annoying things we will put blocking
+
+551
+00:40:34,950 --> 00:40:42,290
+for many of **the** rays until it bothers us **the**
+
+552
+00:40:42,290 --> 00:40:45,150
+amount of **the** rays we will make duplication for
+
+553
+00:40:45,150 --> 00:40:50,210
+**the** blocker
+
+554
+00:40:50,210 --> 00:40:54,450
+so that we limit to a few of **the** rays that will
+
+555
+00:40:54,450 --> 00:41:00,270
+enter **the** lens These two rays we shortened them to
+
+556
+00:41:00,270 --> 00:41:04,210
+make a picture 20 cm away We haven't added **the**
+
+557
+00:41:04,210 --> 00:41:10,810
+minus lens yet Now we add a minus lens Let's draw
+
+558
+00:41:10,810 --> 00:41:15,390
+it first here And
+
+559
+00:41:15,390 --> 00:41:20,790
+turn it into a minus lens We
+
+560
+00:41:20,790 --> 00:41:22,610
+agreed that it is minus how much?
+
+561
+00:41:26,140 --> 00:41:28,980
+Minus five and fifty-five, which means that **the**
+
+562
+00:41:28,980 --> 00:41:31,200
+diameter of **this** barrel should be one hundred and
+
+563
+00:41:31,200 --> 00:41:33,640
+eighty millimeters with minus one hundred and
+
+564
+00:41:33,640 --> 00:41:36,400
+eighty millimeters with minus Okay, we say as
+
+565
+00:41:36,400 --> 00:41:42,160
+follows **The** minus lens is minus one hundred and
+
+566
+00:41:42,160 --> 00:41:44,220
+eighty millimeters, which means minus eighteen
+
+567
+00:41:44,220 --> 00:41:49,680
+centimeters We come and put **this** lens, we say come
+
+568
+00:41:49,680 --> 00:41:55,000
+to a distanceTen centimeters in front of **the** first
+
+569
+00:41:55,000 --> 00:41:59,820
+lens **The** picture should be about half a meter
+
+570
+00:41:59,820 --> 00:42:03,200
+behind **the** plus lens Half a meter behind **the** plus
+
+571
+00:42:03,200 --> 00:42:09,080
+lens Let's move **the** view and see Let's
+
+572
+00:42:09,080 --> 00:42:10,640
+move **the** ruler now
+
+573
+00:42:21,680 --> 00:42:29,400
+If we count 100mm, 200mm, 300mm, 400mm, 500mm,
+
+574
+00:42:29,620 --> 00:42:33,380
+exactly at their meeting point which is 50cm, we
+
+575
+00:42:33,380 --> 00:42:36,940
+find **the** negative lens. We remove **the** negative
+
+576
+00:42:36,940 --> 00:42:42,100
+lens from herethey meet at a distance of 100 mm
+
+577
+00:42:42,100 --> 00:42:45,440
+and 200 mm, which is 20 cm. We return **the** negative
+
+578
+00:42:45,440 --> 00:42:49,480
+lens again at a distance of 10 cm with a force of
+
+579
+00:42:49,480 --> 00:42:53,100
+minus 5.5 diopters. So **the** function of **the**
+
+580
+00:42:53,100 --> 00:42:59,040
+negative lens is to distance **the** rays and
+
+581
+00:42:59,040 --> 00:43:02,800
+make **the** place where they meet exactlyيعني في
+
+582
+00:43:02,800 --> 00:43:07,140
+المكان المطلوب و هيك احنا حددنا قوة العدسة ال
+
+583
+00:43:07,140 --> 00:43:13,280
+minus طبعا هنا انتهت المحاضرة بتاعتنا و هنضرب
+
+584
+00:43:13,280 --> 00:43:16,060
+امثلة او هنحل امثلة ان شاء الله تعالى في التمارين
+
+585
+00:43:16,060 --> 00:43:19,660
+تعيين البصريات الهندسية ع صفحة ال model و المرة
+
+586
+00:43:19,660 --> 00:43:23,200
+القادمة ان شاء الله تعالى هناخد ال para axial ray
+
+587
+00:43:23,200 --> 00:43:27,000
+tracing through concave spherical lenses و يعطيكم
+
+588
+00:43:27,000 --> 00:43:29,980
+العافية والسلام عليكم ورحمة الله وبركاته
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/wB1Ig1r_r0M_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/wB1Ig1r_r0M_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..7e56af59cda4c4e4232fc246c38ae133158e527d
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/wB1Ig1r_r0M_raw.srt
@@ -0,0 +1,1036 @@
+1
+00:00:06,870 --> 00:00:07,590
+In the name of Allah, Most Gracious, Most
+
+2
+00:00:07,590 --> 00:00:11,470
+Merciful, We continue our lecture number 22 with
+
+3
+00:00:11,470 --> 00:00:15,730
+the Lensmakers equation The Lensmakers equation
+
+4
+00:00:15,730 --> 00:00:19,030
+has two major benefits or tells me two major
+
+5
+00:00:19,030 --> 00:00:22,510
+things The first thing now is that the location of
+
+6
+00:00:22,510 --> 00:00:29,170
+the image minus n over o plus a minus n over a is
+
+7
+00:00:29,170 --> 00:00:32,320
+equal to a minus a over a The location of the
+
+8
+00:00:32,320 --> 00:00:34,660
+image is related to the location of the object
+
+9
+00:00:34,660 --> 00:00:37,440
+Which means that if the location of the object
+
+10
+00:00:37,440 --> 00:00:40,280
+changes, the location of the image must change
+
+11
+00:00:40,280 --> 00:00:42,440
+completely If it changes and there is a third
+
+12
+00:00:42,440 --> 00:00:45,000
+change in the location of the object, that is, it
+
+13
+00:00:45,000 --> 00:00:46,380
+was at a distance, then it increased to a
+
+14
+00:00:46,380 --> 00:00:48,300
+distance, then it increased to a third distance,
+
+15
+00:00:48,980 --> 00:00:49,800
+the location of the image will also change in each
+
+16
+00:00:49,800 --> 00:00:53,620
+of the distances So the location of the image is
+
+17
+00:00:53,620 --> 00:00:55,880
+related to the location of the object What we're
+
+18
+00:00:55,880 --> 00:00:57,280
+going to prove, yes, we're going to give two
+
+19
+00:00:57,280 --> 00:01:01,800
+examples The first example The object will be at a
+
+20
+00:01:01,800 --> 00:01:04,080
+distance of one meter The second example is that
+
+21
+00:01:04,080 --> 00:01:06,160
+the object will be at a distance of half a meter
+
+22
+00:01:06,160 --> 00:01:09,900
+Of course, the same spherical refractive index is
+
+23
+00:01:09,900 --> 00:01:13,340
+half a meter which is 1 out of 10 meters and here
+
+24
+00:01:13,340 --> 00:01:16,240
+is 1 out of 10 meters And the refractive index is
+
+25
+00:01:16,240 --> 00:01:19,480
+the same refractive index Therefore, when you
+
+26
+00:01:19,480 --> 00:01:22,780
+change the location of the objectWhen you change
+
+27
+00:01:22,780 --> 00:01:24,640
+the value of the object from 2 to 1 meter, how
+
+28
+00:01:24,640 --> 00:01:27,140
+much was the image, or where was the image, where
+
+29
+00:01:27,140 --> 00:01:29,340
+is the distance of the image, when the object has
+
+30
+00:01:29,340 --> 00:01:31,800
+changed, we tried it from the spherical refracting
+
+31
+00:01:31,800 --> 00:01:33,100
+service, we tried it from a distance of half a
+
+32
+00:01:33,100 --> 00:01:36,000
+meter, where will the image be? We say that we use
+
+33
+00:01:36,000 --> 00:01:39,240
+the Lensmaker's equation minus N over O plus
+
+34
+00:01:39,240 --> 00:01:44,340
+Uncertaintyminus n over r equals n minus i over i
+
+35
+00:01:44,340 --> 00:01:51,260
+minus one over one meter plus one and a half minus
+
+36
+00:01:51,260 --> 00:01:55,860
+one over one of ten meters equals n minus i which
+
+37
+00:01:55,860 --> 00:01:59,720
+is one and a half over i which is the major minus
+
+38
+00:01:59,720 --> 00:02:04,520
+one over one minus one meter minus one plus one
+
+39
+00:02:04,520 --> 00:02:08,780
+and a half minus one remains half over one of ten
+
+40
+00:02:08,780 --> 00:02:13,950
+metersequal to one and a half over I minus one
+
+41
+00:02:13,950 --> 00:02:19,490
+meter square minus one plus half on one from ten
+
+42
+00:02:19,490 --> 00:02:23,550
+it becomes five meters square minus one equal to
+
+43
+00:02:23,550 --> 00:02:27,550
+one and a half over I minus one meter square minus
+
+44
+00:02:27,550 --> 00:02:30,370
+one plus five meters square minus one it becomes
+
+45
+00:02:30,370 --> 00:02:34,650
+four meters square minus one equal to one and a
+
+46
+00:02:34,650 --> 00:02:38,810
+half over I okay now four
+
+47
+00:02:41,020 --> 00:02:45,800
+بدي اعرف I even I ببدلهم مكان بعد يساوي واحد و نص
+
+48
+00:02:45,800 --> 00:02:53,140
+على اربع متر از ناقص واحد و هي ساوي تقريبا تقريبا
+
+49
+00:02:53,140 --> 00:02:56,060
+سبعة و تلاتين و نص سانتي
+
+50
+00:03:04,160 --> 00:03:11,380
+is equal to 37.5 cm So, when the object is one
+
+51
+00:03:11,380 --> 00:03:18,180
+meter away, the image is 37.5 cm away from I Now,
+
+52
+00:03:19,200 --> 00:03:22,240
+we come to the same conditions except one thing
+
+53
+00:03:22,240 --> 00:03:25,500
+that changed, the object distance We say that the
+
+54
+00:03:25,500 --> 00:03:27,940
+object distance has become half a meter instead of
+
+55
+00:03:27,940 --> 00:03:31,560
+a meter minus N over O plus unconditional minus N
+
+56
+00:03:31,560 --> 00:03:33,500
+over R is equal to unconditional
+
+57
+00:03:36,850 --> 00:03:41,030
+I minus 1 divided by half a meter which became a
+
+58
+00:03:41,030 --> 00:03:43,510
+meter. Here it was a meter which became half a
+
+59
+00:03:43,510 --> 00:03:45,690
+meter. We changed the distance of the object.
+
+60
+00:03:47,730 --> 00:03:51,930
+Uncertainty minus n one and a half minus one over
+
+61
+00:03:51,930 --> 00:03:55,030
+a which is one out of ten fixed meters equals
+
+62
+00:03:55,030 --> 00:03:58,030
+uncertainty one and a half over a which is unknown
+
+63
+00:03:58,030 --> 00:04:02,430
+minus one over a half which is minus two meters
+
+64
+00:04:02,430 --> 00:04:07,790
+minus one plus one and a half minus one and a half
+
+65
+00:04:07,790 --> 00:04:10,190
+the half we have to divide by one out of ten which
+
+66
+00:04:10,190 --> 00:04:14,130
+gives me five meters minus one which equals one
+
+67
+00:04:14,130 --> 00:04:19,360
+and a half over aMinus 2 plus 5 meters plus minus
+
+68
+00:04:19,360 --> 00:04:24,960
+1 equals 3 meters plus minus 1 equals 1.5 over I
+
+69
+00:04:24,960 --> 00:04:30,620
+So I change the place again equals 1.5 over 3
+
+70
+00:04:30,620 --> 00:04:36,380
+meters plus minus 1 equals 1.5 over 3 which is 1.5
+
+71
+00:04:36,380 --> 00:04:39,660
+and meters plus minus 1 when you go up becomes
+
+72
+00:04:39,660 --> 00:04:43,500
+half a meter So the picture is half a meter which
+
+73
+00:04:43,500 --> 00:04:49,710
+is 50 cmI to 50 cm So when we changed the distance
+
+74
+00:04:49,710 --> 00:04:53,090
+of the object from 1 meter to half a meter, the
+
+75
+00:04:53,090 --> 00:04:58,710
+distance of the image changed from 37.5 cm to 50
+
+76
+00:04:58,710 --> 00:05:03,130
+cm The object moved in this direction, reduced its
+
+77
+00:05:03,130 --> 00:05:05,550
+distance, approached the refracting surface and
+
+78
+00:05:05,550 --> 00:05:09,090
+became half a meter wide And also the image moved
+
+79
+00:05:09,090 --> 00:05:13,410
+in this direction, it was 37 cm away, a little
+
+80
+00:05:13,410 --> 00:05:16,330
+further to the right Of course, the object moved
+
+81
+00:05:16,330 --> 00:05:19,710
+to the right, the image also moved to the right,
+
+82
+00:05:20,050 --> 00:05:23,390
+but not to the same extent The object approached
+
+83
+00:05:23,390 --> 00:05:28,610
+half a meterThe picture became 12.5 cm because 50
+
+84
+00:05:28,610 --> 00:05:33,750
+cm became 57.5
+
+85
+00:05:33,750 --> 00:05:37,710
+cm which means it moved to the right 12.5 cm which
+
+86
+00:05:37,710 --> 00:05:40,810
+means which means These two examples give me the
+
+87
+00:05:40,810 --> 00:05:46,350
+basis or the first conclusion If
+
+88
+00:05:46,350 --> 00:05:53,230
+the location of the body changes, it must, it must
+
+89
+00:05:53,430 --> 00:06:01,350
+to change the location of the image, but not
+
+90
+00:06:01,350 --> 00:06:03,250
+necessarily to the same extent.
+
+91
+00:06:08,050 --> 00:06:10,290
+The first thing that was told to me by the lens
+
+92
+00:06:10,290 --> 00:06:12,530
+maker's equation was that the location of the
+
+93
+00:06:12,530 --> 00:06:15,150
+image Related to the location of the object.
+
+94
+00:06:15,310 --> 00:06:17,490
+Changing the location of the object, as we saw in
+
+95
+00:06:17,490 --> 00:06:20,950
+the two cases, changes the location of the image.
+
+96
+00:06:21,050 --> 00:06:22,430
+Of course, provided that we have a fixed
+
+97
+00:06:22,430 --> 00:06:26,530
+refracting surface. The second thing we want to
+
+98
+00:06:26,530 --> 00:06:30,650
+talk about Or before we say the second thing we
+
+99
+00:06:30,650 --> 00:06:33,670
+want to talk about Let's give an example of the
+
+100
+00:06:33,670 --> 00:06:36,010
+distance of the object. The distance of the object
+
+101
+00:06:36,010 --> 00:06:41,210
+Let's say we have an object In front of the
+
+102
+00:06:41,210 --> 00:06:43,990
+spherical refracting surface, the answer is equal
+
+103
+00:06:43,990 --> 00:06:47,590
+to one and a half, the R is equal to one out of
+
+104
+00:06:47,590 --> 00:06:52,970
+ten meters, the object is one meter away, the
+
+105
+00:06:52,970 --> 00:06:59,230
+image I have is equal to
+
+106
+00:06:59,230 --> 00:07:02,390
+I thirty-seven and a half centimeters.
+
+107
+00:07:08,170 --> 00:07:10,750
+We want to say that if it is 1 meter away, we want
+
+108
+00:07:10,750 --> 00:07:16,070
+to place it 2 meters away We say as follows, I
+
+109
+00:07:16,070 --> 00:07:18,710
+have the same spherical refracting surface, this
+
+110
+00:07:18,710 --> 00:07:22,110
+is the optical axis The object became 2 meters
+
+111
+00:07:22,110 --> 00:07:27,410
+away The R is equal to 1 out of 10 meters The N is
+
+112
+00:07:27,410 --> 00:07:30,530
+equal to 1.5 meters and the N is equal to 1 meters
+
+113
+00:07:30,530 --> 00:07:34,790
+Either the image will change its locationنقص N على
+
+114
+00:07:34,790 --> 00:07:38,190
+R يساوي
+
+115
+00:07:38,190 --> 00:07:42,570
+أنشرطة على I نقص
+
+116
+00:07:42,570 --> 00:07:51,910
+1 على 2 متر زائد 1.5 ناقص 1 على 1 من 10 متر يساوي
+
+117
+00:07:51,910 --> 00:07:57,640
+1.5 على Ione minus one divided by two minus half
+
+118
+00:07:57,640 --> 00:08:01,660
+meter square minus one plus one and a half minus
+
+119
+00:08:01,660 --> 00:08:04,680
+one remains half when we divide half by one from
+
+120
+00:08:04,680 --> 00:08:10,760
+ten it becomes five meter square minus one equals
+
+121
+00:08:10,760 --> 00:08:17,360
+one and a half over I when I have minus half plus
+
+122
+00:08:17,360 --> 00:08:21,720
+five I have four and a half meter square minus one
+
+123
+00:08:21,720 --> 00:08:27,920
+equalsone and a half over I because minus half
+
+124
+00:08:27,920 --> 00:08:35,420
+plus five is four and a half so I is equal to one
+
+125
+00:08:35,420 --> 00:08:39,960
+and a half over four and a half meters minus one
+
+126
+00:08:39,960 --> 00:08:42,120
+which is equal to one and a half over four and a
+
+127
+00:08:42,120 --> 00:08:45,220
+half meters which is three hundred and thirty
+
+128
+00:08:45,220 --> 00:08:52,940
+three thousand metersSo the picture became 33.3 cm
+
+129
+00:08:52,940 --> 00:08:56,100
+When the object was 1 meter away, the picture
+
+130
+00:08:56,100 --> 00:09:02,380
+became or was 37 cm When the object was 2 meters
+
+131
+00:09:02,380 --> 00:09:09,000
+awayThe image became 33 cm wide, which means that
+
+132
+00:09:09,000 --> 00:09:13,060
+the image was 37.5 cm wide in the first example
+
+133
+00:09:13,060 --> 00:09:16,900
+when the object was one meter wide, and then when
+
+134
+00:09:16,900 --> 00:09:19,620
+we moved the object in this direction to the left,
+
+135
+00:09:33,420 --> 00:09:36,780
+The body moved to the left 1 meter, which means
+
+136
+00:09:36,780 --> 00:09:40,220
+that the picture moved to the left 4 centimeters.
+
+137
+00:09:40,420 --> 00:09:42,780
+The location of the picture changed because the
+
+138
+00:09:42,780 --> 00:09:45,740
+location of the object changed. The two changed
+
+139
+00:09:45,740 --> 00:09:48,740
+direction to the left, but not to the same extent
+
+140
+00:09:48,740 --> 00:09:51,740
+The object was one meter away, and the image was
+
+141
+00:09:51,740 --> 00:09:53,360
+about 4 cm from the surface of the refracting
+
+142
+00:09:53,360 --> 00:10:01,040
+surface It was about 37.5 cm, and it became 33.3
+
+143
+00:10:01,040 --> 00:10:02,940
+cm
+
+144
+00:10:04,610 --> 00:10:08,530
+The other part or the other information from the
+
+145
+00:10:08,530 --> 00:10:12,090
+lensmakers equation which is half of negative N
+
+146
+00:10:12,090 --> 00:10:15,970
+divided by R plus N minus N divided by R is equal
+
+147
+00:10:15,970 --> 00:10:19,450
+to N minus R divided by I The other information
+
+148
+00:10:19,450 --> 00:10:23,470
+that the lensmakers equation gives me is that the
+
+149
+00:10:23,470 --> 00:10:30,330
+location of the image is related to the
+
+150
+00:10:30,330 --> 00:10:33,080
+shape of the refracting surfaceWhat does it mean
+
+151
+00:10:33,080 --> 00:10:36,560
+by shape? All shapes are spherical. All our work
+
+152
+00:10:36,560 --> 00:10:40,100
+is on the spherical shape. We mean here in the
+
+153
+00:10:40,100 --> 00:10:47,260
+form of a refracting surface, that is,
+
+154
+00:10:47,340 --> 00:10:53,060
+the amount of friction. Is it more friction or
+
+155
+00:10:53,060 --> 00:10:58,000
+more friction? Or less friction, less friction?
+
+156
+00:10:58,480 --> 00:11:03,600
+Now the challenge of the refracting surface and
+
+157
+00:11:03,600 --> 00:11:07,420
+its curvature is related to half of the lines Half
+
+158
+00:11:07,420 --> 00:11:11,960
+of the lines has a opposite relationship with the
+
+159
+00:11:11,960 --> 00:11:16,380
+challenge That is, every time half of the lines
+
+160
+00:11:16,380 --> 00:11:19,140
+increases, the challenge decreases Every time half
+
+161
+00:11:19,140 --> 00:11:21,020
+of the lines decreases, the challenge increases Do
+
+162
+00:11:21,020 --> 00:11:23,960
+you see these two drawings? Half of the lines is
+
+163
+00:11:23,960 --> 00:11:27,430
+smallIt means that there is a lot of oscillation,
+
+164
+00:11:27,510 --> 00:11:30,870
+a lot of oscillation Half a drop is big, which
+
+165
+00:11:30,870 --> 00:11:34,070
+means less oscillation Half a drop is bigger,
+
+166
+00:11:35,070 --> 00:11:40,510
+which means the ball has very little oscillation
+
+167
+00:11:40,510 --> 00:11:45,770
+Of course, simply put, the less the half of the
+
+168
+00:11:45,770 --> 00:11:48,410
+drop and the more the oscillation, the more
+
+169
+00:11:48,410 --> 00:11:50,270
+powerful the refracting service in the case of
+
+170
+00:11:50,270 --> 00:11:53,310
+objects It increases the power of the refracting
+
+171
+00:11:53,310 --> 00:11:56,890
+surface in the case of stars Why? Because we said
+
+172
+00:11:56,890 --> 00:12:01,330
+that this value is equal to the power Power from
+
+173
+00:12:01,330 --> 00:12:03,790
+the east minus N to R We talked about this in the
+
+174
+00:12:03,790 --> 00:12:08,410
+previous lectures So when R decreases, when it
+
+175
+00:12:08,410 --> 00:12:12,390
+decreases, when the position decreases, the total
+
+176
+00:12:12,390 --> 00:12:15,290
+value increases So therefore the power increases
+
+177
+00:12:15,290 --> 00:12:20,820
+Let's see, let's see how it is related The
+
+178
+00:12:20,820 --> 00:12:26,300
+location of the image is within the radius of the
+
+179
+00:12:26,300 --> 00:12:29,320
+refracting surface This example was given earlier
+
+180
+00:12:29,320 --> 00:12:32,960
+In the same equation, let's say that the object is
+
+181
+00:12:32,960 --> 00:12:35,760
+one meter square, n is equal to one, and n dot is
+
+182
+00:12:35,760 --> 00:12:41,760
+equal to one and a half. The radius of R is equal
+
+183
+00:12:41,760 --> 00:12:46,000
+to one tenth of a meter The object will be placed
+
+184
+00:12:46,000 --> 00:12:48,660
+at a distance of 1 meter I got the picture with
+
+185
+00:12:48,660 --> 00:12:51,780
+the calculations that I did a while ago 37.5 cm
+
+186
+00:12:51,780 --> 00:12:54,780
+Now I will place the object at a distance of 1
+
+187
+00:12:54,780 --> 00:12:57,320
+meter as it is And what I will change is that I
+
+188
+00:12:57,320 --> 00:12:59,020
+will remove the refracting surface and I will
+
+189
+00:12:59,020 --> 00:13:00,940
+bring a refracting surface that is more
+
+190
+00:13:00,940 --> 00:13:03,120
+challenging That means half of its diameter is
+
+191
+00:13:03,120 --> 00:13:06,020
+smaller Here is 1 out of 10 meters and here is 5
+
+192
+00:13:06,020 --> 00:13:09,840
+out of 100 meters But it has the same refracting
+
+193
+00:13:09,840 --> 00:13:13,070
+index so that the glass has the same capacity We
+
+194
+00:13:13,070 --> 00:13:16,370
+will see when you change the R, how the picture
+
+195
+00:13:16,370 --> 00:13:20,990
+changed location. We apply the lens maker equation
+
+196
+00:13:20,990 --> 00:13:25,490
+minus N over O plus minus N over R equals minus N
+
+197
+00:13:25,490 --> 00:13:32,150
+over I. Okay, minus 1 over 1 meter which is the
+
+198
+00:13:32,150 --> 00:13:37,210
+distance of the object plus minus 1.5 over minus 1
+
+199
+00:13:37,210 --> 00:13:40,330
+which is the air refractive index over R. Now it
+
+200
+00:13:40,330 --> 00:13:41,990
+has changed, I have 5 out of 100
+
+201
+00:13:53,490 --> 00:14:04,050
+We need to
+
+202
+00:14:04,050 --> 00:14:07,980
+solve this problem by sayingHere when we raise the
+
+203
+00:14:07,980 --> 00:14:10,680
+point, it becomes here I have the point here, when
+
+204
+00:14:10,680 --> 00:14:14,400
+I want to raise the point, it becomes 50 out of 5,
+
+205
+00:14:14,540 --> 00:14:20,540
+so 10 meters minus 1, 10 meters minus 1, one and a
+
+206
+00:14:20,540 --> 00:14:23,440
+half minus one half, the half when we divide by
+
+207
+00:14:23,440 --> 00:14:27,120
+five percent, it becomes ten, and the meter when
+
+208
+00:14:27,120 --> 00:14:30,420
+we subtract it becomes one meter minus one, equals
+
+209
+00:14:30,420 --> 00:14:37,900
+one and a half over I Minus 1 in meters minus 1
+
+210
+00:14:37,900 --> 00:14:42,860
+plus 10 in meters minus 1 remains 9 meters minus 1
+
+211
+00:14:42,860 --> 00:14:53,380
+equals 1.5 divided by I So I equals 1
+
+212
+00:14:53,380 --> 00:15:03,620
+.5 divided by 9 meters minus 1 equals O
+
+213
+00:15:03,620 --> 00:15:13,770
+pointيعني meter و يساوي 16 cm و تلتين cm. إذا
+
+214
+00:15:13,770 --> 00:15:19,670
+الصورة في هذه الحالة I تساوي 16 cm و 66% من نطق
+
+215
+00:15:19,670 --> 00:15:25,990
+الصمت ال object هو ال object at a distance of one
+
+216
+00:15:25,990 --> 00:15:29,070
+meter And the density of the glass or refractive
+
+217
+00:15:29,070 --> 00:15:31,230
+index is the same density So what changes only
+
+218
+00:15:31,230 --> 00:15:33,710
+half of the line? When half of the line changes
+
+219
+00:15:33,710 --> 00:15:37,750
+When half of the line changes The location of the
+
+220
+00:15:37,750 --> 00:15:39,890
+image changes The location of the image here was
+
+221
+00:15:39,890 --> 00:15:44,050
+at a distance of 37.5 cm It became at a distance
+
+222
+00:15:44,050 --> 00:15:48,690
+of 16.5 cm Now, but the last point in this example
+
+223
+00:15:48,690 --> 00:15:52,910
+What does it mean at a distance of 37.5 cm? It
+
+224
+00:15:52,910 --> 00:15:56,280
+means that the rays that came from the objectThe
+
+225
+00:15:56,280 --> 00:15:59,760
+refracting service in the first case was able to
+
+226
+00:15:59,760 --> 00:16:07,940
+collect them at a distance of 37.5
+
+227
+00:16:07,940 --> 00:16:13,560
+cm In the second case, when the rays came from the
+
+228
+00:16:13,560 --> 00:16:17,380
+object This
+
+229
+00:16:17,380 --> 00:16:19,400
+refracting service was able to collect them at a
+
+230
+00:16:19,400 --> 00:16:24,370
+distance closerwhich is 16.66% of sound. This is
+
+231
+00:16:24,370 --> 00:16:25,590
+the distance, which is the distance of the bird.
+
+232
+00:16:26,130 --> 00:16:30,130
+In other words, in the second case, the rays
+
+233
+00:16:30,130 --> 00:16:33,890
+gather in a closer distance because the service is
+
+234
+00:16:33,890 --> 00:16:36,350
+stronger in collecting the rays. The power of the
+
+235
+00:16:36,350 --> 00:16:41,210
+service is stronger.We come to calculate as a
+
+236
+00:16:41,210 --> 00:16:43,950
+final point the power of the refracting surface in
+
+237
+00:16:43,950 --> 00:16:46,590
+the first case and the power of the refracting
+
+238
+00:16:46,590 --> 00:16:49,030
+surface in the second case We say that the power
+
+239
+00:16:49,030 --> 00:16:51,950
+in the first case is equal to N minus N divided by
+
+240
+00:16:51,950 --> 00:16:55,350
+R is equal to one and a half minus one divided by
+
+241
+00:16:55,350 --> 00:17:01,370
+one of ten meters is equal to half divided by one
+
+242
+00:17:01,370 --> 00:17:06,070
+of ten meters is equal to five meters minus one
+
+243
+00:17:07,080 --> 00:17:10,800
+The meter minus 1 was given a new name, which is
+
+244
+00:17:10,800 --> 00:17:13,700
+the diopter, which is a unit for measuring the
+
+245
+00:17:13,700 --> 00:17:16,520
+power of lenses, which is the inverse of the
+
+246
+00:17:16,520 --> 00:17:19,380
+meter, or the meter minus 1 can be called a
+
+247
+00:17:19,380 --> 00:17:21,620
+diopter and marked with this symbol, which is 5
+
+248
+00:17:21,620 --> 00:17:25,620
+diopters. So, the power of the first service is 5
+
+249
+00:17:25,620 --> 00:17:28,000
+diopters. Let's see the power of the service in
+
+250
+00:17:28,000 --> 00:17:32,890
+the second case.انشرطة ناقس n على r ويساوي واحد و
+
+251
+00:17:32,890 --> 00:17:39,290
+نص ناقس واحد على خمسة من مية متر ويساوي واحد و نص
+
+252
+00:17:39,290 --> 00:17:45,910
+ناقس واحد نص على خمسة من مية نتر ويساوي عشرة متر
+
+253
+00:17:45,910 --> 00:17:56,110
+او بنجوسين عشرة ديوقترز واختصارا بنسميها عشرة دي
+
+254
+00:17:58,310 --> 00:18:01,990
+The service plus 5 diopters and this service plus
+
+255
+00:18:01,990 --> 00:18:06,410
+10 diopters means its strength is twice the
+
+256
+00:18:06,410 --> 00:18:10,470
+strength of the primary service, which means its
+
+257
+00:18:10,470 --> 00:18:14,490
+capacity to break the rays is twice as strong.
+
+258
+00:18:14,750 --> 00:18:18,330
+This concludes the lecture number 22. God bless
+
+259
+00:18:18,330 --> 00:18:20,030
+you and peace be upon you.
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/xZ1pVG_nsWY_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/xZ1pVG_nsWY_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0d95691963bf112a72d5ff3efbcfb81996b6c68d
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/xZ1pVG_nsWY_postprocess.srt
@@ -0,0 +1,160 @@
+1
+00:00:03,630 --> 00:00:08,310
+بسم الله الرحمن الرحيم عنا object ارتفاعه 10 cm
+
+2
+00:00:08,310 --> 00:00:12,470
+above the optical axis وعنا image اتكونت عاليمين
+
+3
+00:00:12,470 --> 00:00:17,550
+ارتفاعها 20 cm below the optical axis مسافة ال
+
+4
+00:00:17,550 --> 00:00:22,490
+image 40 cm المطلوب find object distance جدش فارقة
+
+5
+00:00:22,490 --> 00:00:25,750
+ال object distance عشان نحل هذه المسألة بنقول
+
+6
+00:00:25,750 --> 00:00:33,200
+image height على object height is equal to image
+
+7
+00:00:33,200 --> 00:00:37,300
+distance divided by object distance because here
+
+8
+00:00:37,300 --> 00:00:39,520
+is transfers magnification and here is the same
+
+9
+00:00:39,520 --> 00:00:42,200
+transfers magnification so we said transfers
+
+10
+00:00:42,200 --> 00:00:44,720
+magnification image hat divided by object hat is
+
+11
+00:00:44,720 --> 00:00:46,780
+equal to image distance divided by object distance
+
+12
+00:00:46,780 --> 00:00:49,760
+I have three of the four constants and I still
+
+13
+00:00:49,760 --> 00:00:52,420
+have the object distance which is the only unknown
+
+14
+00:00:52,420 --> 00:00:57,380
+one so I say the objectDistance ضرب تبادل يساوي
+
+15
+00:00:57,380 --> 00:01:04,480
+image distance ضرب object height على image height
+
+16
+00:01:04,480 --> 00:01:08,660
+ال object distance تساوي image distance في object
+
+17
+00:01:08,660 --> 00:01:13,040
+height على image height و تعويض مباشر ال image
+
+18
+00:01:13,040 --> 00:01:19,560
+distance 40 cm يعني 4 من 10 متر في ال object
+
+19
+00:01:19,560 --> 00:01:26,820
+height 10 cm يعني 1 من 10 مترOn the image height
+
+20
+00:01:26,820 --> 00:01:32,940
+which is 20 cm Here
+
+21
+00:01:32,940 --> 00:01:36,380
+we say 20 cm is 2 out of 10 meters but I want to
+
+22
+00:01:36,380 --> 00:01:40,160
+put minus I want to put minus, why? Why they say I
+
+23
+00:01:40,160 --> 00:01:44,300
+put plus? 4 out of 10 meters is the distance on
+
+24
+00:01:44,300 --> 00:01:48,080
+the left of the optical system So you take plus
+
+25
+00:01:48,080 --> 00:01:51,100
+because it is on the right And the object is the
+
+26
+00:01:51,100 --> 00:01:55,980
+height Above the optical axis also takes plus Now,
+
+27
+00:01:56,660 --> 00:01:59,740
+the height of the image under the optical axis
+
+28
+00:01:59,740 --> 00:02:03,540
+also takes minus So, we continue, we say 4 out of
+
+29
+00:02:03,540 --> 00:02:07,460
+10 multiplied by 1 out of 10 is equal to 4 out of
+
+30
+00:02:07,460 --> 00:02:10,520
+100 square meters because meters multiplied by
+
+31
+00:02:10,520 --> 00:02:14,900
+meters is equal to square meters divided by minus
+
+32
+00:02:14,900 --> 00:02:20,200
+2 out of 10 meters 4 out of 100 is of course plus
+
+33
+00:02:20,200 --> 00:02:26,030
+divided by minusPlus on minus, minus. 4 from 100
+
+34
+00:02:26,030 --> 00:02:31,770
+to 2 from 10, I get 2 from 10. Meter square on
+
+35
+00:02:31,770 --> 00:02:37,440
+meter, will give me meterناقص اتنين من عشرة متر
+
+36
+00:02:37,440 --> 00:02:41,800
+يعني بدي احولها لصنطي تساوي ناقص عشرين صنطي يعني
+
+37
+00:02:41,800 --> 00:02:45,820
+مسافة ال object ناقص عشرين صنطي يعني عشرين صنطي
+
+38
+00:02:45,820 --> 00:02:49,460
+على الشمال، اذا عشرين صنطي على شمال ال optical
+
+39
+00:02:49,460 --> 00:02:53,940
+system و يعطيكم العافية و هذا هو الحالة والسلام
+
+40
+00:02:53,940 --> 00:02:55,980
+عليكم ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/xlYGNb6u7Qc.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/xlYGNb6u7Qc.srt
new file mode 100644
index 0000000000000000000000000000000000000000..dd94d3ca3ad2751c12b9ef34b1341b07b9a475bb
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/xlYGNb6u7Qc.srt
@@ -0,0 +1,79 @@
+1
+00:00:01,010 --> 00:00:05,130
+بسم الله الرحمن الرحيم. طبعا هذا ال video ملحق
+
+2
+00:00:05,130 --> 00:00:09,850
+لمحاضرة واحد وعشرين بس عشان نبين شيء واحد معين انه 
+
+3
+00:00:09,850 --> 00:00:14,310
+احنا بنستعمل ال para axial ray ال para axial ray 
+
+4
+00:00:14,310 --> 00:00:17,970
+زاوية دخوله لل glass او لل spherical reflecting
+
+5
+00:00:17,970 --> 00:00:21,470
+surface زاوية صغيرة اللي هي θ I اللي بناشر عليها 
+
+6
+00:00:21,990 --> 00:00:26,050
+and the angles alpha, gamma and P3 appear in the
+
+7
+00:00:26,050 --> 00:00:29,350
+picture as if this is a paraxial ray with the red 
+
+8
+00:00:29,350 --> 00:00:32,930
+color as a paraxial ray close to the optical axis 
+
+9
+00:00:32,930 --> 00:00:35,590
+in order to make the picture clear and make these 
+
+10
+00:00:35,590 --> 00:00:39,710
+angles visible, the picture is rotated vertically
+
+11
+00:00:39,710 --> 00:00:46,990
+in order to make the angles appear with it.
+
+12
+00:00:46,990 --> 00:00:50,210
+It doesn't mean that it's a big angle, but it's just
+
+13
+00:00:50,210 --> 00:00:53,390
+for clarification. This is a very small angle, all
+
+14
+00:00:53,390 --> 00:01:02,310
+of them are small angles, but in the drawing here,
+
+15
+00:01:02,410 --> 00:01:07,130
+the rectangle or the rectangle, we do this case to
+
+16
+00:01:07,130 --> 00:01:09,550
+clarify, to be able to deduce the equation of the
+
+17
+00:01:09,550 --> 00:01:13,440
+lensmaker's equation. الحقيقة الأمر هي يعني زوايا 
+
+18
+00:01:13,440 --> 00:01:17,060
+صغيرة جدا حتى ربما تكون أصغر من المنظر اللي احنا 
+
+19
+00:01:17,060 --> 00:01:20,600
+شايفينه بالشكل هذا ويعطيكم العافية والسلام عليكم 
+
+20
+00:01:20,600 --> 00:01:22,420
+ورحمة الله وبركاته
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/xlYGNb6u7Qc_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/xlYGNb6u7Qc_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..8dda049500b787bba2b444b4bbb3ea4250b0b469
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/xlYGNb6u7Qc_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2147, "start": 1.01, "end": 21.47, "text": "بسم الله الرحمن الرحيم.طبعا هذا ال video ملحق لمحاضرة واحد وعشرين بس عشان نبين شيء واحد معين انه احنا بنستعمل ال para axial ray ال para axial ray زاوية دخوله لل glass او لل spherical reflecting surface زاوية صغيرة اللي هي θ I اللي بناشر عليها", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 13, 9566, 3555, 3615, 995, 23758, 2423, 960, 3714, 1211, 5016, 4587, 32767, 5016, 46958, 25720, 36764, 24401, 4032, 3615, 46309, 9957, 4724, 3794, 6225, 8592, 7649, 8717, 3555, 9957, 44049, 38207, 36764, 24401, 20449, 9957, 16472, 3224, 1975, 5016, 8315, 44945, 14851, 25957, 1211, 2423, 1690, 46851, 18592, 2423, 1690, 46851, 18592, 30767, 995, 2407, 10632, 11778, 9778, 12610, 3224, 24976, 4276, 1975, 2407, 24976, 37300, 23543, 3753, 30767, 995, 2407, 10632, 20328, 17082, 48923, 13672, 1829, 39896, 12622, 286, 13672, 1829, 44945, 33599, 2288, 25894, 11296], "avg_logprob": -0.25031889062754964, "compression_ratio": 1.625, "no_speech_prob": 5.048513412475586e-05, "words": [{"start": 1.01, "end": 1.29, "word": "بسم", "probability": 0.49298095703125}, {"start": 1.29, "end": 1.43, "word": " الله", "probability": 0.9248046875}, {"start": 1.43, "end": 1.79, "word": " الرحمن", "probability": 0.8917643229166666}, {"start": 1.79, "end": 2.31, "word": " الرحيم", "probability": 0.98291015625}, {"start": 2.31, "end": 3.93, "word": ".طبعا", "probability": 0.70469970703125}, {"start": 3.93, "end": 4.17, "word": " هذا", "probability": 0.6826171875}, {"start": 4.17, "end": 4.33, "word": " ال", "probability": 0.62451171875}, {"start": 4.33, "end": 4.53, "word": " video", "probability": 0.740234375}, {"start": 4.53, "end": 5.13, "word": " ملحق", "probability": 0.9884033203125}, {"start": 5.13, "end": 6.19, "word": " لمحاضرة", "probability": 0.9075927734375}, {"start": 6.19, "end": 6.51, "word": " واحد", "probability": 0.789306640625}, {"start": 6.51, "end": 7.01, "word": " وعشرين", "probability": 0.82452392578125}, {"start": 7.01, "end": 7.23, "word": " بس", "probability": 0.828369140625}, {"start": 7.23, "end": 7.47, "word": " عشان", "probability": 0.9830729166666666}, {"start": 7.47, "end": 7.75, "word": " نبين", "probability": 0.6853841145833334}, {"start": 7.75, "end": 8.07, "word": " شيء", "probability": 0.5836181640625}, {"start": 8.07, "end": 8.37, "word": " واحد", "probability": 0.994384765625}, {"start": 8.37, "end": 8.85, "word": " معين", "probability": 0.966064453125}, {"start": 8.85, "end": 9.85, "word": " انه", "probability": 0.5169677734375}, {"start": 9.85, "end": 10.19, "word": " احنا", "probability": 0.9640299479166666}, {"start": 10.19, "end": 11.23, "word": " بنستعمل", "probability": 0.9554443359375}, {"start": 11.23, "end": 11.53, "word": " ال", "probability": 0.97021484375}, {"start": 11.53, "end": 11.79, "word": " para", "probability": 0.57470703125}, {"start": 11.79, "end": 12.25, "word": " axial", "probability": 0.7412109375}, {"start": 12.25, "end": 12.63, "word": " ray", "probability": 0.95849609375}, {"start": 12.63, "end": 13.39, "word": " ال", "probability": 0.5810546875}, {"start": 13.39, "end": 13.61, "word": " para", "probability": 0.73876953125}, {"start": 13.61, "end": 13.97, "word": " axial", "probability": 0.9111328125}, {"start": 13.97, "end": 14.31, "word": " ray", "probability": 0.98095703125}, {"start": 14.31, "end": 15.23, "word": " زاوية", "probability": 0.82470703125}, {"start": 15.23, "end": 15.71, "word": " دخوله", "probability": 0.9796142578125}, {"start": 15.71, "end": 15.99, "word": " لل", "probability": 0.8310546875}, {"start": 15.99, "end": 16.81, "word": " glass", "probability": 0.72314453125}, {"start": 16.81, "end": 16.97, "word": " او", "probability": 0.826904296875}, {"start": 16.97, "end": 17.11, "word": " لل", "probability": 0.68017578125}, {"start": 17.11, "end": 17.45, "word": " spherical", "probability": 0.68798828125}, {"start": 17.45, "end": 17.97, "word": " reflecting", "probability": 0.362548828125}, {"start": 17.97, "end": 18.55, "word": " surface", "probability": 0.91015625}, {"start": 18.55, "end": 19.29, "word": " زاوية", "probability": 0.94482421875}, {"start": 19.29, "end": 19.63, "word": " صغيرة", "probability": 0.97412109375}, {"start": 19.63, "end": 19.79, "word": " اللي", "probability": 0.5247802734375}, {"start": 19.79, "end": 19.89, "word": " هي", "probability": 0.59228515625}, {"start": 19.89, "end": 20.07, "word": " θ", "probability": 0.78564453125}, {"start": 20.07, "end": 20.41, "word": " I", "probability": 0.56640625}, {"start": 20.41, "end": 20.59, "word": " اللي", "probability": 0.96337890625}, {"start": 20.59, "end": 21.01, "word": " بناشر", "probability": 0.709228515625}, {"start": 21.01, "end": 21.47, "word": " عليها", "probability": 0.991455078125}], "temperature": 1.0}, {"id": 2, "seek": 4585, "start": 21.99, "end": 45.85, "text": "and the angles alpha, gamma and P3 appear in the picture as if this is a paraxial ray with the red color as a paraxial ray close to the optical axis in order to make the picture clear and make these angles visible, the picture is rotated vertically in order to make the angles appear with me", "tokens": [474, 264, 14708, 8961, 11, 15546, 293, 430, 18, 4204, 294, 264, 3036, 382, 498, 341, 307, 257, 971, 2797, 831, 18592, 365, 264, 2182, 2017, 382, 257, 971, 2797, 831, 18592, 1998, 281, 264, 20674, 10298, 294, 1668, 281, 652, 264, 3036, 1850, 293, 652, 613, 14708, 8974, 11, 264, 3036, 307, 42146, 28450, 294, 1668, 281, 652, 264, 14708, 4204, 365, 385], "avg_logprob": -0.6302884615384615, "compression_ratio": 1.830188679245283, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 21.99, "end": 22.31, "word": "and", "probability": 0.43896484375}, {"start": 22.31, "end": 22.61, "word": " the", "probability": 0.2196044921875}, {"start": 22.61, "end": 22.89, "word": " angles", "probability": 0.603515625}, {"start": 22.89, "end": 23.47, "word": " alpha,", "probability": 0.41796875}, {"start": 24.11, "end": 24.47, "word": " gamma", "probability": 0.84912109375}, {"start": 24.47, "end": 24.65, "word": " and", "probability": 0.7646484375}, {"start": 24.65, "end": 25.07, "word": " P3", "probability": 0.72265625}, {"start": 25.07, "end": 25.79, "word": " appear", "probability": 0.2091064453125}, {"start": 25.79, "end": 25.97, "word": " in", "probability": 0.6943359375}, {"start": 25.97, "end": 26.05, "word": " the", "probability": 0.73876953125}, {"start": 26.05, "end": 26.31, "word": " picture", "probability": 0.4296875}, {"start": 26.31, "end": 27.05, "word": " as", "probability": 0.20166015625}, {"start": 27.05, "end": 27.25, "word": " if", "probability": 0.541015625}, {"start": 27.25, "end": 28.11, "word": " this", "probability": 0.317138671875}, {"start": 28.11, "end": 28.29, "word": " is", "probability": 0.370361328125}, {"start": 28.29, "end": 28.35, "word": " a", "probability": 0.71533203125}, {"start": 28.35, "end": 28.85, "word": " paraxial", "probability": 0.7366536458333334}, {"start": 28.85, "end": 29.05, "word": " ray", "probability": 0.75732421875}, {"start": 29.05, "end": 29.23, "word": " with", "probability": 0.1331787109375}, {"start": 29.23, "end": 29.29, "word": " the", "probability": 0.37451171875}, {"start": 29.29, "end": 29.35, "word": " red", "probability": 0.755859375}, {"start": 29.35, "end": 29.83, "word": " color", "probability": 0.74658203125}, {"start": 29.83, "end": 29.99, "word": " as", "probability": 0.141845703125}, {"start": 29.99, "end": 29.99, "word": " a", "probability": 0.289306640625}, {"start": 29.99, "end": 30.57, "word": " paraxial", "probability": 0.8701171875}, {"start": 30.57, "end": 30.79, "word": " ray", "probability": 0.92578125}, {"start": 30.79, "end": 31.09, "word": " close", "probability": 0.2296142578125}, {"start": 31.09, "end": 31.31, "word": " to", "probability": 0.95849609375}, {"start": 31.31, "end": 31.41, "word": " the", "probability": 0.89501953125}, {"start": 31.41, "end": 31.73, "word": " optical", "probability": 0.9033203125}, {"start": 31.73, "end": 32.93, "word": " axis", "probability": 0.96728515625}, {"start": 32.93, "end": 33.63, "word": " in", "probability": 0.20703125}, {"start": 33.63, "end": 33.71, "word": " order", "probability": 0.91259765625}, {"start": 33.71, "end": 34.17, "word": " to", "probability": 0.82373046875}, {"start": 34.17, "end": 34.41, "word": " make", "probability": 0.52099609375}, {"start": 34.41, "end": 34.65, "word": " the", "probability": 0.666015625}, {"start": 34.65, "end": 34.89, "word": " picture", "probability": 0.444580078125}, {"start": 34.89, "end": 34.89, "word": " clear", "probability": 0.314453125}, {"start": 34.89, "end": 35.07, "word": " and", "probability": 0.80810546875}, {"start": 35.07, "end": 35.35, "word": " make", "probability": 0.2486572265625}, {"start": 35.35, "end": 35.59, "word": " these", "probability": 0.56103515625}, {"start": 35.59, "end": 36.01, "word": " angles", "probability": 0.908203125}, {"start": 36.01, "end": 36.73, "word": " visible,", "probability": 0.57080078125}, {"start": 37.29, "end": 37.51, "word": " the", "probability": 0.76123046875}, {"start": 37.51, "end": 37.69, "word": " picture", "probability": 0.7119140625}, {"start": 37.69, "end": 38.01, "word": " is", "probability": 0.65869140625}, {"start": 38.01, "end": 38.29, "word": " rotated", "probability": 0.1405029296875}, {"start": 38.29, "end": 39.71, "word": " vertically", "probability": 0.6845703125}, {"start": 39.71, "end": 40.35, "word": " in", "probability": 0.363525390625}, {"start": 40.35, "end": 40.71, "word": " order", "probability": 0.7978515625}, {"start": 40.71, "end": 42.51, "word": " to", "probability": 0.84375}, {"start": 42.51, "end": 44.43, "word": " make", "probability": 0.3173828125}, {"start": 44.43, "end": 44.61, "word": " the", "probability": 0.509765625}, {"start": 44.61, "end": 44.93, "word": " angles", "probability": 0.7705078125}, {"start": 44.93, "end": 45.33, "word": " appear", "probability": 0.58447265625}, {"start": 45.33, "end": 45.55, "word": " with", "probability": 0.44482421875}, {"start": 45.55, "end": 45.85, "word": " me", "probability": 0.82958984375}], "temperature": 1.0}, {"id": 3, "seek": 7063, "start": 46.59, "end": 70.63, "text": "It doesn't mean that it's a big angle, but it's just for clarification. This is a very small angle, all of them are small angles, but in the drawing here, the rectangle or the rectangle, we do this case to clarify, to be able to deduce the equation of the lensmaker's equation", "tokens": [3522, 1177, 380, 914, 300, 309, 311, 257, 955, 5802, 11, 457, 309, 311, 445, 337, 34449, 13, 639, 307, 257, 588, 1359, 5802, 11, 439, 295, 552, 366, 1359, 14708, 11, 457, 294, 264, 6316, 510, 11, 264, 21930, 420, 264, 21930, 11, 321, 360, 341, 1389, 281, 17594, 11, 281, 312, 1075, 281, 4172, 4176, 264, 5367, 295, 264, 6765, 18821, 311, 5367], "avg_logprob": -0.5648674070835114, "compression_ratio": 1.6727272727272726, "no_speech_prob": 1.3828277587890625e-05, "words": [{"start": 46.59, "end": 46.99, "word": "It", "probability": 0.50537109375}, {"start": 46.99, "end": 47.09, "word": " doesn't", "probability": 0.72119140625}, {"start": 47.09, "end": 47.39, "word": " mean", "probability": 0.93115234375}, {"start": 47.39, "end": 47.61, "word": " that", "probability": 0.55322265625}, {"start": 47.61, "end": 47.77, "word": " it's", "probability": 0.580322265625}, {"start": 47.77, "end": 47.89, "word": " a", "probability": 0.7607421875}, {"start": 47.89, "end": 48.43, "word": " big", "probability": 0.76513671875}, {"start": 48.43, "end": 48.43, "word": " angle,", "probability": 0.63427734375}, {"start": 48.69, "end": 48.99, "word": " but", "probability": 0.59814453125}, {"start": 48.99, "end": 49.69, "word": " it's", "probability": 0.77978515625}, {"start": 49.69, "end": 50.21, "word": " just", "probability": 0.64013671875}, {"start": 50.21, "end": 50.51, "word": " for", "probability": 0.437255859375}, {"start": 50.51, "end": 50.95, "word": " clarification.", "probability": 0.40771484375}, {"start": 51.05, "end": 51.23, "word": " This", "probability": 0.28369140625}, {"start": 51.23, "end": 51.55, "word": " is", "probability": 0.71142578125}, {"start": 51.55, "end": 51.63, "word": " a", "probability": 0.83154296875}, {"start": 51.63, "end": 51.63, "word": " very", "probability": 0.71826171875}, {"start": 51.63, "end": 51.95, "word": " small", "probability": 0.908203125}, {"start": 51.95, "end": 52.05, "word": " angle,", "probability": 0.86083984375}, {"start": 53.05, "end": 53.39, "word": " all", "probability": 0.46875}, {"start": 53.39, "end": 53.59, "word": " of", "probability": 0.58544921875}, {"start": 53.59, "end": 55.79, "word": " them", "probability": 0.3212890625}, {"start": 55.79, "end": 56.91, "word": " are", "probability": 0.67822265625}, {"start": 56.91, "end": 58.53, "word": " small", "probability": 0.6279296875}, {"start": 58.53, "end": 60.95, "word": " angles,", "probability": 0.88232421875}, {"start": 61.39, "end": 61.43, "word": " but", "probability": 0.5927734375}, {"start": 61.43, "end": 61.73, "word": " in", "probability": 0.79345703125}, {"start": 61.73, "end": 61.77, "word": " the", "probability": 0.3330078125}, {"start": 61.77, "end": 62.03, "word": " drawing", "probability": 0.474609375}, {"start": 62.03, "end": 62.31, "word": " here,", "probability": 0.65234375}, {"start": 62.41, "end": 62.51, "word": " the", "probability": 0.60009765625}, {"start": 62.51, "end": 62.99, "word": " rectangle", "probability": 0.07537841796875}, {"start": 62.99, "end": 63.75, "word": " or", "probability": 0.5693359375}, {"start": 63.75, "end": 63.91, "word": " the", "probability": 0.6611328125}, {"start": 63.91, "end": 64.27, "word": " rectangle,", "probability": 0.509765625}, {"start": 64.53, "end": 65.59, "word": " we", "probability": 0.779296875}, {"start": 65.59, "end": 66.19, "word": " do", "probability": 0.437744140625}, {"start": 66.19, "end": 66.65, "word": " this", "probability": 0.73974609375}, {"start": 66.65, "end": 66.65, "word": " case", "probability": 0.2208251953125}, {"start": 66.65, "end": 67.13, "word": " to", "probability": 0.87255859375}, {"start": 67.13, "end": 67.49, "word": " clarify,", "probability": 0.7294921875}, {"start": 67.63, "end": 67.77, "word": " to", "probability": 0.51171875}, {"start": 67.77, "end": 67.91, "word": " be", "probability": 0.74658203125}, {"start": 67.91, "end": 68.09, "word": " able", "probability": 0.95849609375}, {"start": 68.09, "end": 68.25, "word": " to", "probability": 0.9775390625}, {"start": 68.25, "end": 68.71, "word": " deduce", "probability": 0.6080322265625}, {"start": 68.71, "end": 68.91, "word": " the", "probability": 0.86279296875}, {"start": 68.91, "end": 69.17, "word": " equation", "probability": 0.83349609375}, {"start": 69.17, "end": 69.43, "word": " of", "probability": 0.8056640625}, {"start": 69.43, "end": 69.55, "word": " the", "probability": 0.6923828125}, {"start": 69.55, "end": 70.23, "word": " lensmaker's", "probability": 0.5233561197916666}, {"start": 70.23, "end": 70.63, "word": " equation", "probability": 0.96142578125}], "temperature": 1.0}, {"id": 4, "seek": 8242, "start": 71.14, "end": 82.42, "text": "الحقيقة الأمر هي يعني زوايا صغيرة جدا حتى ربما تكون أصغر من المنظر اللي احنا شايفينه بالشكل هذا ويعطيكم العافية والسلام عليكم ورحمة الله وبركاته", "tokens": [6027, 5016, 38436, 28671, 16247, 29973, 39896, 37495, 22653, 30767, 14407, 25528, 20328, 17082, 48923, 10874, 28259, 11331, 49975, 12602, 3555, 15042, 6055, 30544, 5551, 9381, 17082, 2288, 9154, 9673, 1863, 19913, 2288, 13672, 1829, 1975, 5016, 8315, 13412, 995, 33911, 9957, 3224, 20666, 8592, 28820, 23758, 4032, 40228, 9566, 1829, 24793, 18863, 31845, 10632, 16070, 3794, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224], "avg_logprob": -0.1399647895718964, "compression_ratio": 1.6196319018404908, "no_speech_prob": 0.00196075439453125, "words": [{"start": 71.14, "end": 71.4, "word": "الحقيقة", "probability": 0.5820465087890625}, {"start": 71.4, "end": 71.86, "word": " الأمر", "probability": 0.82470703125}, {"start": 71.86, "end": 72.42, "word": " هي", "probability": 0.87890625}, {"start": 72.42, "end": 73.1, "word": " يعني", "probability": 0.785400390625}, {"start": 73.1, "end": 73.44, "word": " زوايا", "probability": 0.92724609375}, {"start": 73.44, "end": 73.94, "word": " صغيرة", "probability": 0.9871419270833334}, {"start": 73.94, "end": 74.26, "word": " جدا", "probability": 0.9814453125}, {"start": 74.26, "end": 74.6, "word": " حتى", "probability": 0.84765625}, {"start": 74.6, "end": 74.94, "word": " ربما", "probability": 0.9523111979166666}, {"start": 74.94, "end": 75.2, "word": " تكون", "probability": 0.786865234375}, {"start": 75.2, "end": 75.68, "word": " أصغر", "probability": 0.970458984375}, {"start": 75.68, "end": 75.94, "word": " من", "probability": 0.9892578125}, {"start": 75.94, "end": 76.76, "word": " المنظر", "probability": 0.982421875}, {"start": 76.76, "end": 76.88, "word": " اللي", "probability": 0.9189453125}, {"start": 76.88, "end": 77.06, "word": " احنا", "probability": 0.7975260416666666}, {"start": 77.06, "end": 77.54, "word": " شايفينه", "probability": 0.97958984375}, {"start": 77.54, "end": 78.0, "word": " بالشكل", "probability": 0.9523111979166666}, {"start": 78.0, "end": 78.36, "word": " هذا", "probability": 0.8779296875}, {"start": 78.36, "end": 79.32, "word": " ويعطيكم", "probability": 0.85458984375}, {"start": 79.32, "end": 79.76, "word": " العافية", "probability": 0.9514973958333334}, {"start": 79.76, "end": 80.18, "word": " والسلام", "probability": 0.8444010416666666}, {"start": 80.18, "end": 80.6, "word": " عليكم", "probability": 0.922607421875}, {"start": 80.6, "end": 81.0, "word": " ورحمة", "probability": 0.97265625}, {"start": 81.0, "end": 81.34, "word": " الله", "probability": 0.97119140625}, {"start": 81.34, "end": 82.42, "word": " وبركاته", "probability": 0.9888671875}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 82.9649375, "duration_after_vad": 81.653125}
\ No newline at end of file
diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/xlYGNb6u7Qc_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/xlYGNb6u7Qc_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..cf13f9f5f5c8c456df8f0d53fb4a21b72641c615
--- /dev/null
+++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/xlYGNb6u7Qc_raw.srt
@@ -0,0 +1,80 @@
+1
+00:00:01,010 --> 00:00:05,130
+بسم الله الرحمن الرحيم.طبعا هذا ال video ملحق
+
+2
+00:00:05,130 --> 00:00:09,850
+لمحاضرة واحد وعشرين بس عشان نبين شيء واحد معين انه
+
+3
+00:00:09,850 --> 00:00:14,310
+احنا بنستعمل ال para axial ray ال para axial ray
+
+4
+00:00:14,310 --> 00:00:17,970
+زاوية دخوله لل glass او لل spherical reflecting
+
+5
+00:00:17,970 --> 00:00:21,470
+surface زاوية صغيرة اللي هي θ I اللي بناشر عليها
+
+6
+00:00:21,990 --> 00:00:26,050
+and the angles alpha, gamma and P3 appear in the
+
+7
+00:00:26,050 --> 00:00:29,350
+picture as if this is a paraxial ray with the red
+
+8
+00:00:29,350 --> 00:00:32,930
+color as a paraxial ray close to the optical axis
+
+9
+00:00:32,930 --> 00:00:35,590
+in order to make the picture clear and make these
+
+10
+00:00:35,590 --> 00:00:39,710
+angles visible, the picture is rotated vertically
+
+11
+00:00:39,710 --> 00:00:46,990
+in order to make the angles appear with meIt
+
+12
+00:00:46,990 --> 00:00:50,210
+doesn't mean that it's a big angle, but it's just
+
+13
+00:00:50,210 --> 00:00:53,390
+for clarification. This is a very small angle, all
+
+14
+00:00:53,390 --> 00:01:02,310
+of them are small angles, but in the drawing here,
+
+15
+00:01:02,410 --> 00:01:07,130
+the rectangle or the rectangle, we do this case to
+
+16
+00:01:07,130 --> 00:01:09,550
+clarify, to be able to deduce the equation of the
+
+17
+00:01:09,550 --> 00:01:13,440
+lensmaker's equationالحقيقة الأمر هي يعني زوايا
+
+18
+00:01:13,440 --> 00:01:17,060
+صغيرة جدا حتى ربما تكون أصغر من المنظر اللي احنا
+
+19
+00:01:17,060 --> 00:01:20,600
+شايفينه بالشكل هذا ويعطيكم العافية والسلام عليكم
+
+20
+00:01:20,600 --> 00:01:22,420
+ورحمة الله وبركاته
+