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Bundle means group. A, B, C, D. And let us assume that we have two groups, sorry, two products. 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So we have two products, bread and milk. This is the quantity consumed of eggs and milk, Y, product Y. 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This consumer has different options, different chances, choices. 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The third bundle here. Consuming three pieces of bread and four cups of milk will give him 100 units. Group four, four and three will give him the same total utility.", "tokens": [420, 2309, 13381, 295, 5392, 486, 976, 796, 264, 912, 3217, 14877, 13, 440, 2636, 24438, 510, 13, 6923, 24919, 1045, 3755, 295, 5961, 293, 1451, 13381, 295, 5392, 486, 976, 796, 2319, 6815, 13, 10500, 1451, 11, 1451, 293, 1045, 486, 976, 796, 264, 912, 3217, 14877, 13], "avg_logprob": -0.20640624284744263, "compression_ratio": 1.7045454545454546, "no_speech_prob": 0.0, "words": [{"start": 252.64, "end": 253.48, "word": " or", "probability": 0.2880859375}, {"start": 253.48, "end": 254.24, "word": " six", "probability": 0.91162109375}, {"start": 254.24, "end": 254.62, "word": " cups", "probability": 0.7939453125}, {"start": 254.62, "end": 254.9, "word": " of", "probability": 0.97509765625}, {"start": 254.9, "end": 255.38, "word": " milk", "probability": 0.90380859375}, {"start": 255.38, "end": 256.32, "word": " will", "probability": 0.65771484375}, {"start": 256.32, "end": 256.88, "word": " give", "probability": 0.89306640625}, {"start": 256.88, "end": 257.3, "word": " him", "probability": 0.744140625}, {"start": 257.3, "end": 258.04, "word": " the", "probability": 0.87548828125}, {"start": 258.04, "end": 258.42, "word": " same", "probability": 0.90576171875}, {"start": 258.42, "end": 258.9, "word": " total", "probability": 0.8603515625}, {"start": 258.9, "end": 259.34, "word": " utility.", "probability": 0.96044921875}, {"start": 260.8, "end": 261.64, "word": " The", "probability": 0.87939453125}, {"start": 261.64, "end": 261.96, "word": " third", "probability": 0.91064453125}, {"start": 261.96, "end": 262.36, "word": " bundle", "probability": 0.9208984375}, {"start": 262.36, "end": 262.76, "word": " here.", "probability": 0.87255859375}, {"start": 264.1, "end": 264.66, "word": " Consuming", "probability": 0.961669921875}, {"start": 264.66, "end": 264.98, "word": " three", "probability": 0.93310546875}, {"start": 264.98, "end": 265.34, "word": " pieces", "probability": 0.9462890625}, {"start": 265.34, "end": 265.56, "word": " of", "probability": 0.9697265625}, {"start": 265.56, "end": 265.78, "word": " bread", "probability": 0.94873046875}, {"start": 265.78, "end": 266.1, "word": " and", "probability": 0.90185546875}, {"start": 266.1, "end": 266.48, "word": " four", "probability": 0.94921875}, {"start": 266.48, "end": 266.88, "word": " cups", "probability": 0.8515625}, {"start": 266.88, "end": 267.08, "word": " of", "probability": 0.9658203125}, {"start": 267.08, "end": 267.36, "word": " milk", "probability": 0.90771484375}, {"start": 267.36, "end": 267.62, "word": " will", "probability": 0.84326171875}, {"start": 267.62, "end": 267.9, "word": " give", "probability": 0.88232421875}, {"start": 267.9, "end": 268.2, "word": " him", "probability": 0.91455078125}, {"start": 268.2, "end": 269.26, "word": " 100", "probability": 0.794921875}, {"start": 269.26, "end": 269.96, "word": " units.", "probability": 0.16064453125}, {"start": 271.34, "end": 272.18, "word": " Group", "probability": 0.576171875}, {"start": 272.18, "end": 272.62, "word": " four,", "probability": 0.7958984375}, {"start": 273.66, "end": 274.02, "word": " four", "probability": 0.90771484375}, {"start": 274.02, "end": 274.66, "word": " and", "probability": 0.841796875}, {"start": 274.66, "end": 275.1, "word": " three", "probability": 0.810546875}, {"start": 275.1, "end": 275.52, "word": " will", "probability": 0.791015625}, {"start": 275.52, "end": 275.78, "word": " give", "probability": 0.88671875}, {"start": 275.78, "end": 276.06, "word": " him", "probability": 0.89111328125}, {"start": 276.06, "end": 276.46, "word": " the", "probability": 0.90576171875}, {"start": 276.46, "end": 276.76, "word": " same", "probability": 0.908203125}, {"start": 276.76, "end": 277.38, "word": " total", "probability": 0.85595703125}, {"start": 277.38, "end": 277.98, "word": " utility.", "probability": 0.9462890625}], "temperature": 1.0}, {"id": 10, "seek": 30689, "start": 278.93, "end": 306.89, "text": " What do you see? Adding one more unit here. One more piece of bread here. He gives up here four units, four cups of milk. The giving up here. And then the giving up or he gives up how many two units? Giving up one unit. What do you see? Adding one more unit here from X.", "tokens": [708, 360, 291, 536, 30, 31204, 472, 544, 4985, 510, 13, 1485, 544, 2522, 295, 5961, 510, 13, 634, 2709, 493, 510, 1451, 6815, 11, 1451, 13381, 295, 5392, 13, 440, 2902, 493, 510, 13, 400, 550, 264, 2902, 493, 420, 415, 2709, 493, 577, 867, 732, 6815, 30, 28983, 493, 472, 4985, 13, 708, 360, 291, 536, 30, 31204, 472, 544, 4985, 510, 490, 1783, 13], "avg_logprob": -0.17601102568647442, "compression_ratio": 1.8066666666666666, "no_speech_prob": 0.0, "words": [{"start": 278.93, "end": 279.19, "word": " What", "probability": 0.78662109375}, {"start": 279.19, "end": 279.31, "word": " do", "probability": 0.888671875}, {"start": 279.31, "end": 279.41, "word": " you", "probability": 0.947265625}, {"start": 279.41, "end": 279.65, "word": " see?", "probability": 0.9296875}, {"start": 280.33, "end": 280.73, "word": " Adding", "probability": 0.7177734375}, {"start": 280.73, "end": 281.05, "word": " one", "probability": 0.9169921875}, {"start": 281.05, 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"probability": 0.97021484375}, {"start": 302.65, "end": 302.95, "word": " one", "probability": 0.91796875}, {"start": 302.95, "end": 303.25, "word": " unit.", "probability": 0.96337890625}, {"start": 303.41, "end": 303.53, "word": " What", "probability": 0.880859375}, {"start": 303.53, "end": 303.63, "word": " do", "probability": 0.94677734375}, {"start": 303.63, "end": 303.71, "word": " you", "probability": 0.87939453125}, {"start": 303.71, "end": 303.97, "word": " see?", "probability": 0.92724609375}, {"start": 304.75, "end": 305.13, "word": " Adding", "probability": 0.88232421875}, {"start": 305.13, "end": 305.39, "word": " one", "probability": 0.9130859375}, {"start": 305.39, "end": 305.61, "word": " more", "probability": 0.92919921875}, {"start": 305.61, "end": 305.89, "word": " unit", "probability": 0.95703125}, {"start": 305.89, "end": 306.13, "word": " here", "probability": 0.8447265625}, {"start": 306.13, "end": 306.47, "word": " from", "probability": 0.8798828125}, {"start": 306.47, "end": 306.89, "word": " X.", "probability": 0.79541015625}], "temperature": 1.0}, {"id": 11, "seek": 31742, "start": 310.06, "end": 317.42, "text": " The giving up is decreasing to keep the same total utility.", "tokens": [440, 2902, 493, 307, 23223, 281, 1066, 264, 912, 3217, 14877, 13], "avg_logprob": -0.1453575721153846, "compression_ratio": 0.9523809523809523, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 310.06, "end": 310.32, "word": " The", "probability": 0.73095703125}, {"start": 310.32, "end": 310.76, "word": " giving", "probability": 0.8828125}, {"start": 310.76, "end": 311.24, "word": " up", "probability": 0.9638671875}, {"start": 311.24, "end": 311.58, "word": " is", "probability": 0.9501953125}, {"start": 311.58, "end": 312.36, "word": " decreasing", "probability": 0.953125}, {"start": 312.36, "end": 314.64, "word": " to", "probability": 0.72021484375}, {"start": 314.64, "end": 315.14, "word": " keep", "probability": 0.91455078125}, {"start": 315.14, "end": 315.72, "word": " the", "probability": 0.92431640625}, {"start": 315.72, "end": 316.24, "word": " same", "probability": 0.912109375}, {"start": 316.24, "end": 316.94, "word": " total", "probability": 0.86474609375}, {"start": 316.94, "end": 317.42, "word": " utility.", "probability": 0.955078125}], "temperature": 1.0}, {"id": 12, "seek": 35554, "start": 327.58, "end": 355.54, "text": " Now, let's study the relationship between the quantity consumed of X and the quantity consumed of Y and the total utility obtained under the different bond circuits. Quantity consumed of X and quantity consumed of Y. Here, Y is the bulk and X is", "tokens": [823, 11, 718, 311, 2979, 264, 2480, 1296, 264, 11275, 21226, 295, 1783, 293, 264, 11275, 21226, 295, 398, 293, 264, 3217, 14877, 14879, 833, 264, 819, 6086, 26354, 13, 26968, 507, 21226, 295, 1783, 293, 11275, 21226, 295, 398, 13, 1692, 11, 398, 307, 264, 16139, 293, 1783, 307], "avg_logprob": -0.23330268906612023, "compression_ratio": 1.7956204379562044, "no_speech_prob": 0.0, "words": [{"start": 327.58, "end": 327.96, "word": " Now,", "probability": 0.76123046875}, {"start": 328.38, "end": 328.58, "word": " let's", "probability": 0.95263671875}, {"start": 328.58, "end": 328.96, "word": " study", "probability": 0.83740234375}, {"start": 328.96, "end": 329.18, "word": " the", "probability": 0.9169921875}, {"start": 329.18, "end": 329.76, "word": " relationship", "probability": 0.90771484375}, {"start": 329.76, "end": 330.3, "word": " between", "probability": 0.884765625}, {"start": 330.3, "end": 331.24, "word": " the", "probability": 0.837890625}, {"start": 331.24, "end": 332.08, "word": " quantity", "probability": 0.583984375}, {"start": 332.08, "end": 332.66, "word": " consumed", "probability": 0.8486328125}, {"start": 332.66, "end": 332.92, "word": " of", "probability": 0.78466796875}, {"start": 332.92, "end": 333.2, "word": " X", "probability": 0.7138671875}, {"start": 333.2, "end": 333.54, "word": " and", "probability": 0.90625}, {"start": 333.54, "end": 333.64, "word": " the", "probability": 0.51611328125}, {"start": 333.64, "end": 333.88, "word": " quantity", "probability": 0.9853515625}, {"start": 333.88, "end": 334.6, "word": " consumed", "probability": 0.84326171875}, {"start": 334.6, "end": 334.94, "word": " of", "probability": 0.84912109375}, {"start": 334.94, "end": 335.24, "word": " Y", "probability": 0.99267578125}, {"start": 335.24, "end": 335.58, "word": " and", "probability": 0.759765625}, {"start": 335.58, "end": 335.78, "word": " the", "probability": 0.91064453125}, {"start": 335.78, "end": 336.06, "word": " total", "probability": 0.84033203125}, {"start": 336.06, "end": 336.52, "word": " utility", "probability": 0.966796875}, {"start": 336.52, "end": 337.64, "word": " obtained", "probability": 0.95751953125}, {"start": 337.64, "end": 338.54, "word": " under", "probability": 0.7841796875}, {"start": 338.54, "end": 338.78, "word": " the", "probability": 0.90234375}, {"start": 338.78, "end": 339.12, "word": " different", "probability": 0.8837890625}, {"start": 339.12, "end": 339.46, "word": " bond", "probability": 0.3212890625}, {"start": 339.46, "end": 339.8, "word": " circuits.", "probability": 0.8916015625}, {"start": 340.88, "end": 341.58, "word": " Quantity", "probability": 0.809326171875}, {"start": 341.58, "end": 342.04, "word": " consumed", "probability": 0.865234375}, {"start": 342.04, "end": 342.28, "word": " of", "probability": 0.6904296875}, {"start": 342.28, "end": 342.68, "word": " X", "probability": 0.98681640625}, {"start": 342.68, "end": 344.46, "word": " and", "probability": 0.857421875}, {"start": 344.46, "end": 345.04, "word": " quantity", "probability": 0.70068359375}, {"start": 345.04, "end": 346.76, "word": " consumed", "probability": 0.8642578125}, {"start": 346.76, "end": 347.0, "word": " of", "probability": 0.7255859375}, {"start": 347.0, "end": 347.26, "word": " Y.", "probability": 0.99658203125}, {"start": 347.4, "end": 347.6, "word": " Here,", "probability": 0.7509765625}, {"start": 347.72, "end": 348.08, "word": " Y", "probability": 0.98779296875}, {"start": 348.08, "end": 348.44, "word": " is", "probability": 0.9521484375}, {"start": 348.44, "end": 348.64, "word": " the", "probability": 0.9140625}, {"start": 348.64, "end": 348.98, "word": " bulk", "probability": 0.806640625}, {"start": 348.98, "end": 352.06, "word": " and", "probability": 0.611328125}, {"start": 352.06, "end": 353.08, "word": " X", "probability": 0.845703125}, {"start": 353.08, "end": 355.54, "word": " is", "probability": 0.9482421875}], "temperature": 1.0}, {"id": 13, "seek": 38701, "start": 357.85, "end": 387.01, "text": " The breadth here. Quant X is the breadth. Here we have another point which is the marginal rate of substitution. MRS is the marginal rate of substitution, which is what is the giving up? How much is the giving up? MRS?", "tokens": [440, 35862, 510, 13, 26968, 1783, 307, 264, 35862, 13, 1692, 321, 362, 1071, 935, 597, 307, 264, 16885, 3314, 295, 35827, 13, 9808, 50, 307, 264, 16885, 3314, 295, 35827, 11, 597, 307, 437, 307, 264, 2902, 493, 30, 1012, 709, 307, 264, 2902, 493, 30, 9808, 50, 30], "avg_logprob": -0.2310049007920658, "compression_ratio": 1.7380952380952381, "no_speech_prob": 0.0, "words": [{"start": 357.85, "end": 358.19, "word": " The", "probability": 0.335205078125}, {"start": 358.19, "end": 358.63, "word": " breadth", "probability": 0.2666015625}, {"start": 358.63, "end": 359.13, "word": " here.", "probability": 0.66455078125}, {"start": 363.61, "end": 364.39, "word": " Quant", "probability": 0.464111328125}, {"start": 364.39, "end": 364.91, "word": " X", "probability": 0.75830078125}, {"start": 364.91, "end": 365.77, "word": " is", "probability": 0.8203125}, {"start": 365.77, "end": 365.89, "word": " the", "probability": 0.7119140625}, {"start": 365.89, "end": 366.13, "word": " breadth.", "probability": 0.8955078125}, {"start": 370.13, "end": 370.91, "word": " Here", "probability": 0.84326171875}, {"start": 370.91, "end": 371.05, "word": " we", "probability": 0.74365234375}, {"start": 371.05, "end": 371.31, "word": " have", "probability": 0.94384765625}, {"start": 371.31, "end": 371.67, "word": " another", "probability": 0.92236328125}, {"start": 371.67, "end": 372.03, "word": " point", "probability": 0.97021484375}, {"start": 372.03, "end": 372.23, "word": " which", "probability": 0.62255859375}, {"start": 372.23, "end": 372.43, "word": " is", "probability": 0.951171875}, {"start": 372.43, "end": 372.95, "word": " the", "probability": 0.89306640625}, {"start": 372.95, "end": 373.35, "word": " marginal", "probability": 0.849609375}, {"start": 373.35, "end": 373.77, "word": " rate", "probability": 0.96142578125}, {"start": 373.77, "end": 373.93, "word": " of", "probability": 0.94970703125}, {"start": 373.93, "end": 374.53, "word": " substitution.", "probability": 0.9404296875}, {"start": 375.51, "end": 376.21, "word": " MRS", "probability": 0.761962890625}, {"start": 376.21, "end": 376.51, "word": " is", "probability": 0.943359375}, {"start": 376.51, "end": 376.71, "word": " the", "probability": 0.919921875}, {"start": 376.71, "end": 377.13, "word": " marginal", "probability": 0.86474609375}, {"start": 377.13, "end": 378.09, "word": " rate", "probability": 0.93212890625}, {"start": 378.09, "end": 378.51, "word": " of", "probability": 0.9716796875}, {"start": 378.51, "end": 378.99, "word": " substitution,", "probability": 0.9345703125}, {"start": 380.33, "end": 380.61, "word": " which", "probability": 0.947265625}, {"start": 380.61, "end": 381.03, "word": " is", "probability": 0.9501953125}, {"start": 381.03, "end": 383.09, "word": " what", "probability": 0.61962890625}, {"start": 383.09, "end": 383.49, "word": " is", "probability": 0.94091796875}, {"start": 383.49, "end": 383.71, "word": " the", "probability": 0.9111328125}, {"start": 383.71, "end": 384.05, "word": " giving", "probability": 0.912109375}, {"start": 384.05, "end": 384.41, "word": " up?", "probability": 0.94970703125}, {"start": 384.53, "end": 384.65, "word": " How", "probability": 0.9619140625}, {"start": 384.65, "end": 384.93, "word": " much", "probability": 0.9130859375}, {"start": 384.93, "end": 385.21, "word": " is", "probability": 0.94677734375}, {"start": 385.21, "end": 385.37, "word": " the", "probability": 0.91015625}, {"start": 385.37, "end": 385.63, "word": " giving", "probability": 0.90380859375}, {"start": 385.63, "end": 386.07, "word": " up?", "probability": 0.9765625}, {"start": 386.37, "end": 387.01, "word": " MRS?", "probability": 0.895263671875}], "temperature": 1.0}, {"id": 14, "seek": 41936, "start": 389.46, "end": 419.36, "text": " is the marginal rate of substitution. The marginal rate of substitution is the marginal rate", "tokens": [307, 264, 16885, 3314, 295, 35827, 13, 440, 16885, 3314, 295, 35827, 307, 264, 16885, 3314], "avg_logprob": -0.5592830882352942, "compression_ratio": 1.7547169811320755, "no_speech_prob": 0.0, "words": [{"start": 389.46, "end": 389.76, "word": " is", "probability": 0.443359375}, {"start": 389.76, "end": 389.96, "word": " the", "probability": 0.921875}, {"start": 389.96, "end": 390.44, "word": " marginal", "probability": 0.849609375}, {"start": 390.44, "end": 394.0, "word": " rate", "probability": 0.9208984375}, {"start": 394.0, "end": 396.44, "word": " of", "probability": 0.9560546875}, {"start": 396.44, "end": 397.34, "word": " substitution.", "probability": 0.93408203125}, {"start": 402.22, "end": 403.62, "word": " The", "probability": 0.047027587890625}, {"start": 403.62, "end": 407.74, "word": " marginal", "probability": 0.2392578125}, {"start": 407.74, "end": 416.86, "word": " rate", "probability": 0.9599609375}, {"start": 416.86, "end": 419.36, "word": " of", "probability": 0.43603515625}, {"start": 419.36, "end": 419.36, "word": " substitution", "probability": 0.91064453125}, {"start": 419.36, "end": 419.36, "word": " is", "probability": 0.32080078125}, {"start": 419.36, "end": 419.36, "word": " the", "probability": 0.67578125}, {"start": 419.36, "end": 419.36, "word": " marginal", "probability": 0.7421875}, {"start": 419.36, "end": 419.36, "word": " rate", "probability": 0.951171875}], "temperature": 1.0}, {"id": 15, "seek": 44953, "start": 421.37, "end": 449.53, "text": " equals a change in the quantity consumed of Y over the change in the quantity consumed of X, which means a QY2 minus a QY1 over QX2 minus a QX1 in the absolute value. This is the QX1, QX2.", "tokens": [6915, 257, 1319, 294, 264, 11275, 21226, 295, 398, 670, 264, 1319, 294, 264, 11275, 21226, 295, 1783, 11, 597, 1355, 257, 1249, 56, 17, 3175, 257, 1249, 56, 16, 670, 1249, 55, 17, 3175, 257, 1249, 55, 16, 294, 264, 8236, 2158, 13, 639, 307, 264, 1249, 55, 16, 11, 1249, 55, 17, 13], "avg_logprob": -0.22126115459416593, "compression_ratio": 1.588235294117647, "no_speech_prob": 0.0, "words": [{"start": 421.37, "end": 421.93, "word": " equals", "probability": 0.76904296875}, {"start": 421.93, "end": 422.41, "word": " a", "probability": 0.5888671875}, {"start": 422.41, "end": 422.75, "word": " change", "probability": 0.81787109375}, {"start": 422.75, "end": 422.89, "word": " in", "probability": 0.87744140625}, {"start": 422.89, "end": 422.97, "word": " the", "probability": 0.6123046875}, {"start": 422.97, "end": 423.27, "word": " quantity", "probability": 0.7412109375}, {"start": 423.27, "end": 423.79, "word": " consumed", "probability": 0.82568359375}, {"start": 423.79, "end": 423.99, "word": " of", "probability": 0.499755859375}, {"start": 423.99, "end": 424.25, "word": " Y", "probability": 0.499755859375}, {"start": 424.25, "end": 424.57, "word": " over", "probability": 0.89111328125}, {"start": 424.57, "end": 424.79, "word": " the", "probability": 0.828125}, {"start": 424.79, "end": 425.11, "word": " change", "probability": 0.8974609375}, {"start": 425.11, "end": 425.25, "word": " in", "probability": 0.87548828125}, {"start": 425.25, "end": 425.33, "word": " the", "probability": 0.58544921875}, {"start": 425.33, "end": 425.59, "word": " quantity", "probability": 0.97216796875}, {"start": 425.59, "end": 426.07, "word": " consumed", "probability": 0.89306640625}, {"start": 426.07, "end": 426.27, "word": " of", "probability": 0.87451171875}, {"start": 426.27, "end": 426.59, "word": " X,", "probability": 0.98193359375}, {"start": 426.89, "end": 427.21, "word": " which", "probability": 0.94970703125}, {"start": 427.21, "end": 427.61, "word": " means", "probability": 0.92724609375}, {"start": 427.61, "end": 428.13, "word": " a", "probability": 0.68310546875}, {"start": 428.13, "end": 428.97, "word": " QY2", "probability": 0.69140625}, {"start": 428.97, "end": 429.69, "word": " minus", "probability": 0.95751953125}, {"start": 429.69, "end": 429.97, "word": " a", "probability": 0.69873046875}, {"start": 429.97, "end": 430.85, "word": " QY1", "probability": 0.9856770833333334}, {"start": 430.85, "end": 431.41, "word": " over", "probability": 0.92041015625}, {"start": 431.41, "end": 432.95, "word": " QX2", "probability": 0.9905598958333334}, {"start": 432.95, "end": 433.31, "word": " minus", "probability": 0.986328125}, {"start": 433.31, "end": 433.55, "word": " a", "probability": 0.529296875}, {"start": 433.55, "end": 434.43, "word": " QX1", "probability": 0.99462890625}, {"start": 434.43, "end": 435.21, "word": " in", "probability": 0.490966796875}, {"start": 435.21, "end": 435.45, "word": " the", "probability": 0.91259765625}, {"start": 435.45, "end": 436.09, "word": " absolute", "probability": 0.900390625}, {"start": 436.09, "end": 436.99, "word": " value.", "probability": 0.97216796875}, {"start": 441.61, "end": 442.41, "word": " This", "probability": 0.1849365234375}, {"start": 442.41, "end": 446.11, "word": " is", "probability": 0.94287109375}, {"start": 446.11, "end": 447.87, "word": " the", "probability": 0.63037109375}, {"start": 447.87, "end": 448.51, "word": " QX1,", "probability": 0.98291015625}, {"start": 448.93, "end": 449.53, "word": " QX2.", "probability": 0.9920247395833334}], "temperature": 1.0}, {"id": 16, "seek": 46668, "start": 451.24, "end": 466.68, "text": " QY1, QY2. Let's calculate the marginal rate of substitution for the first case. QY2 minus QY1 over QX2 minus QX1. So 6 minus 10 over 2 minus 1.", "tokens": [1249, 56, 16, 11, 1249, 56, 17, 13, 961, 311, 8873, 264, 16885, 3314, 295, 35827, 337, 264, 700, 1389, 13, 1249, 56, 17, 3175, 1249, 56, 16, 670, 1249, 55, 17, 3175, 1249, 55, 16, 13, 407, 1386, 3175, 1266, 670, 568, 3175, 502, 13], "avg_logprob": -0.15866023936170212, "compression_ratio": 1.2743362831858407, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 451.24, "end": 452.04, "word": " QY1,", "probability": 0.5965169270833334}, {"start": 452.2, "end": 452.84, "word": " QY2.", "probability": 0.9713541666666666}, {"start": 453.36, "end": 453.84, "word": " Let's", "probability": 0.9619140625}, {"start": 453.84, "end": 454.3, "word": " calculate", "probability": 0.9296875}, {"start": 454.3, "end": 454.98, "word": " the", "probability": 0.91259765625}, {"start": 454.98, "end": 455.4, "word": " marginal", "probability": 0.662109375}, {"start": 455.4, "end": 455.74, "word": " rate", "probability": 0.9296875}, {"start": 455.74, "end": 455.88, "word": " of", "probability": 0.935546875}, {"start": 455.88, "end": 456.3, "word": " substitution", "probability": 0.93603515625}, {"start": 456.3, "end": 456.66, "word": " for", "probability": 0.94140625}, {"start": 456.66, "end": 456.84, "word": " the", "probability": 0.91845703125}, {"start": 456.84, "end": 457.12, "word": " first", "probability": 0.88671875}, {"start": 457.12, "end": 457.56, "word": " case.", "probability": 0.91552734375}, {"start": 458.82, "end": 459.6, "word": " QY2", "probability": 0.9892578125}, {"start": 459.6, "end": 460.12, "word": " minus", "probability": 0.9365234375}, {"start": 460.12, "end": 461.02, "word": " QY1", "probability": 0.95751953125}, {"start": 461.02, "end": 461.54, "word": " over", "probability": 0.89404296875}, {"start": 461.54, "end": 462.48, "word": " QX2", "probability": 0.9840494791666666}, {"start": 462.48, "end": 462.84, "word": " minus", "probability": 0.98486328125}, {"start": 462.84, "end": 463.52, "word": " QX1.", "probability": 0.9954427083333334}, {"start": 463.78, "end": 463.96, "word": " So", "probability": 0.95263671875}, {"start": 463.96, "end": 464.62, "word": " 6", "probability": 0.3603515625}, {"start": 464.62, "end": 464.98, "word": " minus", "probability": 0.9794921875}, {"start": 464.98, "end": 465.36, "word": " 10", "probability": 0.9609375}, {"start": 465.36, "end": 465.68, "word": " over", "probability": 0.9287109375}, {"start": 465.68, "end": 466.06, "word": " 2", "probability": 0.97607421875}, {"start": 466.06, "end": 466.34, "word": " minus", "probability": 0.98681640625}, {"start": 466.34, "end": 466.68, "word": " 1.", "probability": 0.97216796875}], "temperature": 1.0}, {"id": 17, "seek": 49968, "start": 472.06, "end": 499.68, "text": " The marginal rate of substitution MRS for the first case equals QY2 minus QY1 over QX2 minus QX1. So equals six minus 10 over two minus one equals minus four over one equals minus four and the absolute value should be four. The second case or the second point here,", "tokens": [440, 16885, 3314, 295, 35827, 9808, 50, 337, 264, 700, 1389, 6915, 1249, 56, 17, 3175, 1249, 56, 16, 670, 1249, 55, 17, 3175, 1249, 55, 16, 13, 407, 6915, 2309, 3175, 1266, 670, 732, 3175, 472, 6915, 3175, 1451, 670, 472, 6915, 3175, 1451, 293, 264, 8236, 2158, 820, 312, 1451, 13, 440, 1150, 1389, 420, 264, 1150, 935, 510, 11], "avg_logprob": -0.1976686455900707, "compression_ratio": 1.6729559748427674, "no_speech_prob": 0.0, "words": [{"start": 472.06, "end": 472.3, "word": " The", "probability": 0.5126953125}, {"start": 472.3, "end": 472.7, "word": " marginal", "probability": 0.62109375}, {"start": 472.7, "end": 472.98, "word": " rate", "probability": 0.9150390625}, {"start": 472.98, "end": 473.14, "word": " of", "probability": 0.75830078125}, {"start": 473.14, "end": 473.74, "word": " substitution", "probability": 0.92333984375}, {"start": 473.74, "end": 474.66, "word": " MRS", "probability": 0.510009765625}, {"start": 474.66, "end": 475.28, "word": " for", "probability": 0.64892578125}, {"start": 475.28, "end": 475.46, "word": " the", "probability": 0.92041015625}, {"start": 475.46, "end": 475.72, "word": " first", "probability": 0.88720703125}, {"start": 475.72, "end": 476.12, "word": " case", "probability": 0.904296875}, {"start": 476.12, "end": 476.94, "word": " equals", "probability": 0.8681640625}, {"start": 476.94, "end": 478.2, "word": " QY2", "probability": 0.59912109375}, {"start": 478.2, "end": 479.26, "word": " minus", "probability": 0.921875}, {"start": 479.26, "end": 480.14, "word": " QY1", "probability": 0.9729817708333334}, {"start": 480.14, "end": 480.48, "word": " over", "probability": 0.91259765625}, {"start": 480.48, "end": 481.18, "word": " QX2", "probability": 0.9742838541666666}, {"start": 481.18, "end": 481.46, "word": " minus", "probability": 0.97998046875}, {"start": 481.46, "end": 482.08, "word": " QX1.", "probability": 0.99462890625}, {"start": 482.22, "end": 482.62, "word": " So", "probability": 0.962890625}, {"start": 482.62, "end": 483.16, "word": " equals", "probability": 0.765625}, {"start": 483.16, "end": 483.86, "word": " six", "probability": 0.6328125}, {"start": 483.86, "end": 484.22, "word": " minus", "probability": 0.982421875}, {"start": 484.22, "end": 484.6, "word": " 10", "probability": 0.61083984375}, {"start": 484.6, "end": 485.2, "word": " over", "probability": 0.91552734375}, {"start": 485.2, "end": 486.34, "word": " two", "probability": 0.75244140625}, {"start": 486.34, "end": 486.74, "word": " minus", "probability": 0.98388671875}, {"start": 486.74, "end": 487.1, "word": " one", "probability": 0.89697265625}, {"start": 487.1, "end": 487.78, "word": " equals", "probability": 0.888671875}, {"start": 487.78, "end": 488.66, "word": " minus", "probability": 0.9765625}, {"start": 488.66, "end": 489.12, "word": " four", "probability": 0.8984375}, {"start": 489.12, "end": 489.6, "word": " over", "probability": 0.91552734375}, {"start": 489.6, "end": 490.02, "word": " one", "probability": 0.9189453125}, {"start": 490.02, "end": 490.68, "word": " equals", "probability": 0.91552734375}, {"start": 490.68, "end": 491.28, "word": " minus", "probability": 0.97802734375}, {"start": 491.28, "end": 491.64, "word": " four", "probability": 0.9248046875}, {"start": 491.64, "end": 491.82, "word": " and", "probability": 0.32568359375}, {"start": 491.82, "end": 491.92, "word": " the", "probability": 0.86376953125}, {"start": 491.92, "end": 492.4, "word": " absolute", "probability": 0.8935546875}, {"start": 492.4, "end": 492.96, "word": " value", "probability": 0.9541015625}, {"start": 492.96, "end": 493.26, "word": " should", "probability": 0.72509765625}, {"start": 493.26, "end": 493.44, "word": " be", "probability": 0.94580078125}, {"start": 493.44, "end": 493.78, "word": " four.", "probability": 0.9150390625}, {"start": 495.5, "end": 496.34, "word": " The", "probability": 0.861328125}, {"start": 496.34, "end": 496.68, "word": " second", "probability": 0.89990234375}, {"start": 496.68, "end": 497.36, "word": " case", "probability": 0.8916015625}, {"start": 497.36, "end": 498.54, "word": " or", "probability": 0.70556640625}, {"start": 498.54, "end": 498.7, "word": " the", "probability": 0.921875}, {"start": 498.7, "end": 498.98, "word": " second", "probability": 0.90625}, {"start": 498.98, "end": 499.4, "word": " point", "probability": 0.96923828125}, {"start": 499.4, "end": 499.68, "word": " here,", "probability": 0.84912109375}], "temperature": 1.0}, {"id": 18, "seek": 52978, "start": 500.8, "end": 529.78, "text": " 4 minus 6 over 3 minus 2. 2, the absolute value of 2. And then 3 minus 4 over 4 minus 3, the absolute value of 1. What do you see? The marginal rate of substitution is decreasing. The absolute value is decreasing. Why? Adding one more unit, the giving up of the consumer decreases.", "tokens": [1017, 3175, 1386, 670, 805, 3175, 568, 13, 568, 11, 264, 8236, 2158, 295, 568, 13, 400, 550, 805, 3175, 1017, 670, 1017, 3175, 805, 11, 264, 8236, 2158, 295, 502, 13, 708, 360, 291, 536, 30, 440, 16885, 3314, 295, 35827, 307, 23223, 13, 440, 8236, 2158, 307, 23223, 13, 1545, 30, 31204, 472, 544, 4985, 11, 264, 2902, 493, 295, 264, 9711, 24108, 13], "avg_logprob": -0.2263292843726144, "compression_ratio": 1.709090909090909, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 500.8, "end": 501.2, "word": " 4", "probability": 0.77294921875}, {"start": 501.2, "end": 501.5, "word": " minus", "probability": 0.9833984375}, {"start": 501.5, "end": 501.9, "word": " 6", "probability": 0.9912109375}, {"start": 501.9, "end": 502.28, "word": " over", "probability": 0.89501953125}, {"start": 502.28, "end": 502.76, "word": " 3", "probability": 0.9951171875}, {"start": 502.76, "end": 503.14, "word": " minus", 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"end": 552.56, "text": " So now let's draw the graph that shows the relationship between the quantity consumed of X and Y and the marginal rate of substitution.", "tokens": [407, 586, 718, 311, 2642, 264, 4295, 300, 3110, 264, 2480, 1296, 264, 11275, 21226, 295, 1783, 293, 398, 293, 264, 16885, 3314, 295, 35827, 13], "avg_logprob": -0.2086226918079235, "compression_ratio": 1.2592592592592593, "no_speech_prob": 0.0, "words": [{"start": 540.4, "end": 541.24, "word": " So", "probability": 0.1802978515625}, {"start": 541.24, "end": 542.08, "word": " now", "probability": 0.73388671875}, {"start": 542.08, "end": 542.58, "word": " let's", "probability": 0.892578125}, {"start": 542.58, "end": 542.92, "word": " draw", "probability": 0.84130859375}, {"start": 542.92, "end": 543.16, "word": " the", "probability": 0.86767578125}, {"start": 543.16, "end": 543.4, "word": " graph", "probability": 0.97900390625}, {"start": 543.4, "end": 543.62, "word": " that", "probability": 0.9228515625}, {"start": 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Qx, one, two, three, four, five, six. 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What about the marginal rate of substitution?", "tokens": [2139, 412, 316, 420, 363, 420, 383, 420, 413, 420, 376, 420, 426, 420, 591, 11, 439, 613, 2793, 486, 976, 264, 9711, 264, 912, 3217, 14877, 11, 558, 30, 708, 466, 264, 16885, 3314, 295, 35827, 30], "avg_logprob": -0.19771634691800827, "compression_ratio": 1.3114754098360655, "no_speech_prob": 0.0, "words": [{"start": 731.6, "end": 732.08, "word": " either", "probability": 0.42529296875}, {"start": 732.08, "end": 732.32, "word": " at", "probability": 0.82470703125}, {"start": 732.32, "end": 732.68, "word": " A", "probability": 0.8623046875}, {"start": 732.68, "end": 733.02, "word": " or", "probability": 0.85107421875}, {"start": 733.02, "end": 733.54, "word": " B", "probability": 0.99560546875}, {"start": 733.54, "end": 733.78, "word": " or", "probability": 0.9248046875}, {"start": 733.78, "end": 734.16, "word": " C", "probability": 0.9951171875}, {"start": 734.16, "end": 734.44, "word": " or", "probability": 0.9462890625}, {"start": 734.44, "end": 734.8, "word": " D", "probability": 0.99609375}, {"start": 734.8, "end": 735.58, "word": " or", "probability": 0.68798828125}, {"start": 735.58, "end": 736.26, "word": " M", "probability": 0.9833984375}, {"start": 736.26, "end": 737.36, "word": " or", "probability": 0.9267578125}, {"start": 737.36, "end": 737.74, "word": " N", "probability": 0.98974609375}, {"start": 737.74, "end": 738.9, "word": " or", "probability": 0.94677734375}, {"start": 738.9, "end": 739.24, "word": " K,", "probability": 0.99658203125}, {"start": 740.08, "end": 741.0, "word": " all", "probability": 0.94140625}, {"start": 741.0, "end": 741.3, "word": " these", "probability": 0.84521484375}, {"start": 741.3, "end": 741.76, "word": " points", "probability": 0.92236328125}, {"start": 741.76, "end": 742.42, "word": " will", "probability": 0.86962890625}, {"start": 742.42, "end": 742.9, "word": " give", "probability": 0.890625}, {"start": 742.9, "end": 743.12, "word": " the", "probability": 0.9140625}, {"start": 743.12, "end": 743.68, "word": " consumer", "probability": 0.830078125}, {"start": 743.68, "end": 743.98, "word": " the", "probability": 0.90869140625}, {"start": 743.98, "end": 744.26, "word": " same", "probability": 0.8994140625}, {"start": 744.26, "end": 744.62, "word": " total", "probability": 0.83837890625}, {"start": 744.62, "end": 745.04, "word": " utility,", "probability": 0.9560546875}, {"start": 745.46, "end": 745.7, "word": " right?", "probability": 0.611328125}, {"start": 747.36, "end": 748.14, "word": " What", "probability": 0.1312255859375}, {"start": 748.14, "end": 750.56, "word": " about", "probability": 0.89794921875}, {"start": 750.56, "end": 750.74, "word": " the", "probability": 0.88916015625}, {"start": 750.74, "end": 751.04, "word": " marginal", "probability": 0.55859375}, {"start": 751.04, "end": 751.28, "word": " rate", "probability": 0.9345703125}, {"start": 751.28, "end": 751.42, "word": " of", "probability": 0.9169921875}, {"start": 751.42, "end": 751.82, "word": " substitution?", "probability": 0.92626953125}], "temperature": 1.0}, {"id": 27, "seek": 77762, "start": 753.5, "end": 777.62, "text": " MRS is delta equal to y over the change in the quantity of x, which is the slope of the indifference curve. Marginal rate of substitution, MRS, change in the quantity of y over change in the quantity of x. The slope of IC.", "tokens": [9808, 50, 307, 8289, 2681, 281, 288, 670, 264, 1319, 294, 264, 11275, 295, 2031, 11, 597, 307, 264, 13525, 295, 264, 1016, 351, 5158, 7605, 13, 2039, 1494, 304, 3314, 295, 35827, 11, 9808, 50, 11, 1319, 294, 264, 11275, 295, 288, 670, 1319, 294, 264, 11275, 295, 2031, 13, 440, 13525, 295, 14360, 13], "avg_logprob": -0.27563047409057617, "compression_ratio": 1.6766917293233083, "no_speech_prob": 0.0, "words": [{"start": 753.5, "end": 754.1, "word": " MRS", "probability": 0.780029296875}, {"start": 754.1, "end": 754.54, "word": " is", "probability": 0.93994140625}, {"start": 754.54, "end": 755.72, "word": " delta", "probability": 0.66943359375}, {"start": 755.72, "end": 756.22, "word": " equal", "probability": 0.548828125}, {"start": 756.22, "end": 756.62, "word": " to", "probability": 0.966796875}, {"start": 756.62, "end": 756.9, "word": " y", "probability": 0.63427734375}, {"start": 756.9, "end": 757.2, "word": " over", "probability": 0.9140625}, {"start": 757.2, "end": 757.4, "word": " the", "probability": 0.3916015625}, {"start": 757.4, "end": 757.78, "word": " change", "probability": 0.87646484375}, {"start": 757.78, "end": 758.02, "word": " in", "probability": 0.89794921875}, {"start": 758.02, "end": 758.1, "word": " the", "probability": 0.56494140625}, {"start": 758.1, "end": 758.34, "word": " quantity", "probability": 0.70263671875}, {"start": 758.34, "end": 758.6, "word": " of", "probability": 0.367919921875}, {"start": 758.6, "end": 758.82, "word": " x,", "probability": 0.89990234375}, {"start": 759.12, "end": 759.74, "word": " which", "probability": 0.953125}, {"start": 759.74, "end": 760.02, "word": " is", "probability": 0.9482421875}, {"start": 760.02, "end": 760.6, "word": " the", "probability": 0.86767578125}, {"start": 760.6, "end": 761.26, "word": " slope", "probability": 0.9296875}, {"start": 761.26, "end": 761.54, "word": " of", "probability": 0.96826171875}, {"start": 761.54, "end": 761.64, "word": " the", "probability": 0.888671875}, {"start": 761.64, "end": 762.08, "word": " indifference", "probability": 0.8733723958333334}, {"start": 762.08, "end": 762.44, "word": " curve.", "probability": 0.865234375}, {"start": 763.92, "end": 764.36, "word": " Marginal", "probability": 0.86474609375}, {"start": 764.36, "end": 764.54, "word": " rate", "probability": 0.60302734375}, {"start": 764.54, "end": 764.64, "word": " of", "probability": 0.89306640625}, {"start": 764.64, "end": 765.16, "word": " substitution,", "probability": 0.9140625}, {"start": 765.4, "end": 765.92, "word": " MRS,", "probability": 0.869140625}, {"start": 767.7, "end": 768.08, "word": " change", "probability": 0.61962890625}, {"start": 768.08, "end": 768.2, "word": " in", "probability": 0.8720703125}, {"start": 768.2, "end": 768.26, "word": " the", "probability": 0.75830078125}, {"start": 768.26, "end": 768.52, "word": " quantity", "probability": 0.9736328125}, {"start": 768.52, "end": 768.72, "word": " of", "probability": 0.91845703125}, {"start": 768.72, "end": 769.0, "word": " y", "probability": 0.9677734375}, {"start": 769.0, "end": 769.22, "word": " over", "probability": 0.90185546875}, {"start": 769.22, "end": 769.66, "word": " change", "probability": 0.63818359375}, {"start": 769.66, "end": 769.8, "word": " in", "probability": 0.8935546875}, {"start": 769.8, "end": 769.86, "word": " the", "probability": 0.7783203125}, {"start": 769.86, "end": 770.02, "word": " quantity", "probability": 0.98095703125}, {"start": 770.02, "end": 770.18, "word": " of", "probability": 0.947265625}, {"start": 770.18, "end": 770.5, "word": " x.", "probability": 0.9951171875}, {"start": 771.06, "end": 771.2, "word": " The", "probability": 0.19384765625}, {"start": 771.2, "end": 771.58, "word": " slope", "probability": 0.353271484375}, {"start": 771.58, "end": 775.12, "word": " of", "probability": 0.7236328125}, {"start": 775.12, "end": 777.62, "word": " IC.", "probability": 0.483154296875}], "temperature": 1.0}, {"id": 28, "seek": 81091, "start": 786.17, "end": 810.91, "text": " And this is the tangent point here. What will happen to the slope of indifference curve as we move from left to right? The slope is decreasing.", "tokens": [400, 341, 307, 264, 27747, 935, 510, 13, 708, 486, 1051, 281, 264, 13525, 295, 1016, 351, 5158, 7605, 382, 321, 1286, 490, 1411, 281, 558, 30, 440, 13525, 307, 23223, 13], "avg_logprob": -0.20040246212121213, "compression_ratio": 1.2743362831858407, "no_speech_prob": 0.0, "words": [{"start": 786.17, "end": 786.39, "word": " And", "probability": 0.2347412109375}, {"start": 786.39, "end": 786.57, "word": " this", "probability": 0.55810546875}, {"start": 786.57, "end": 786.77, "word": " is", "probability": 0.4033203125}, {"start": 786.77, "end": 786.93, "word": " the", "probability": 0.89990234375}, {"start": 786.93, "end": 787.27, "word": " tangent", "probability": 0.95068359375}, {"start": 787.27, "end": 787.71, "word": " point", "probability": 0.9755859375}, {"start": 787.71, "end": 788.09, "word": " here.", "probability": 0.84716796875}, {"start": 790.29, "end": 791.15, "word": " What", "probability": 0.187744140625}, {"start": 791.15, "end": 800.61, "word": " will", "probability": 0.76171875}, {"start": 800.61, "end": 801.03, "word": " happen", "probability": 0.91015625}, {"start": 801.03, "end": 801.45, "word": " to", "probability": 0.97119140625}, {"start": 801.45, "end": 802.51, "word": " the", "probability": 0.92236328125}, {"start": 802.51, "end": 803.55, "word": " slope", "probability": 0.93603515625}, {"start": 803.55, "end": 803.81, "word": " of", "probability": 0.95849609375}, {"start": 803.81, "end": 804.33, "word": " indifference", "probability": 0.85546875}, {"start": 804.33, "end": 804.71, "word": " curve", "probability": 0.9365234375}, {"start": 804.71, "end": 805.09, "word": " as", "probability": 0.939453125}, {"start": 805.09, "end": 805.31, "word": " we", "probability": 0.96337890625}, {"start": 805.31, "end": 805.81, "word": " move", "probability": 0.943359375}, {"start": 805.81, "end": 806.37, "word": " from", "probability": 0.88671875}, {"start": 806.37, "end": 807.01, "word": " left", "probability": 0.9501953125}, {"start": 807.01, "end": 807.23, "word": " to", "probability": 0.9697265625}, {"start": 807.23, "end": 807.71, "word": " right?", "probability": 0.9228515625}, {"start": 808.99, "end": 809.61, "word": " The", "probability": 0.8779296875}, {"start": 809.61, "end": 809.97, "word": " slope", "probability": 0.908203125}, {"start": 809.97, "end": 810.17, "word": " is", "probability": 0.935546875}, {"start": 810.17, "end": 810.91, "word": " decreasing.", "probability": 0.95361328125}], "temperature": 1.0}, {"id": 29, "seek": 84194, "start": 815.06, "end": 841.94, "text": " which represents the marginal rate of substitution, which is decreasing as well. So the marginal rate of substitution is the slope of interference curve. Let's go to the properties of the interference curve or the characteristics of the interference curve.", "tokens": [597, 8855, 264, 16885, 3314, 295, 35827, 11, 597, 307, 23223, 382, 731, 13, 407, 264, 16885, 3314, 295, 35827, 307, 264, 13525, 295, 24497, 7605, 13, 961, 311, 352, 281, 264, 7221, 295, 264, 24497, 7605, 420, 264, 10891, 295, 264, 24497, 7605, 13], "avg_logprob": -0.19582201605257782, "compression_ratio": 1.9037037037037037, "no_speech_prob": 0.0, "words": [{"start": 815.06, "end": 815.46, "word": " which", "probability": 0.595703125}, {"start": 815.46, "end": 816.26, "word": " represents", "probability": 0.8759765625}, {"start": 816.26, "end": 817.46, "word": " the", "probability": 0.89892578125}, {"start": 817.46, "end": 817.98, "word": " marginal", "probability": 0.86328125}, {"start": 817.98, "end": 818.62, "word": " rate", "probability": 0.9580078125}, {"start": 818.62, "end": 818.78, "word": " of", "probability": 0.962890625}, {"start": 818.78, "end": 819.4, "word": 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"end": 839.74, "word": " interference", "probability": 0.79638671875}, {"start": 839.74, "end": 840.02, "word": " curve", "probability": 0.90087890625}, {"start": 840.02, "end": 840.18, "word": " or", "probability": 0.6787109375}, {"start": 840.18, "end": 840.32, "word": " the", "probability": 0.9169921875}, {"start": 840.32, "end": 840.9, "word": " characteristics", "probability": 0.900390625}, {"start": 840.9, "end": 841.2, "word": " of", "probability": 0.966796875}, {"start": 841.2, "end": 841.3, "word": " the", "probability": 0.896484375}, {"start": 841.3, "end": 841.62, "word": " interference", "probability": 0.88525390625}, {"start": 841.62, "end": 841.94, "word": " curve.", "probability": 0.94873046875}], "temperature": 1.0}, {"id": 30, "seek": 87298, "start": 856.68, "end": 872.98, "text": " Now, let's go to the characteristics of indifference curve.", "tokens": [823, 11, 718, 311, 352, 281, 264, 10891, 295, 1016, 351, 5158, 7605, 13], "avg_logprob": -0.31354166666666666, "compression_ratio": 0.9230769230769231, "no_speech_prob": 0.0, "words": [{"start": 856.6800000000001, "end": 857.44, "word": " Now,", "probability": 0.4853515625}, {"start": 857.44, "end": 858.2, "word": " let's", "probability": 0.5099334716796875}, {"start": 858.2, "end": 858.38, "word": " go", "probability": 0.95361328125}, {"start": 858.38, "end": 870.56, "word": " to", "probability": 0.91455078125}, {"start": 870.56, "end": 870.92, "word": " the", "probability": 0.9228515625}, {"start": 870.92, "end": 871.86, "word": " characteristics", "probability": 0.900390625}, {"start": 871.86, "end": 872.24, "word": " of", "probability": 0.96435546875}, {"start": 872.24, "end": 872.7, "word": " indifference", "probability": 0.787109375}, {"start": 872.7, "end": 872.98, "word": " curve.", "probability": 0.919921875}], "temperature": 1.0}, {"id": 31, "seek": 87856, "start": 876.2, "end": 878.56, "text": " are the properties of indifference curve.", "tokens": [366, 264, 7221, 295, 1016, 351, 5158, 7605, 13], "avg_logprob": -0.31015624701976774, "compression_ratio": 0.8571428571428571, "no_speech_prob": 0.0, "words": [{"start": 876.2, "end": 876.44, "word": " are", "probability": 0.34130859375}, {"start": 876.44, "end": 876.6, "word": " the", "probability": 0.92626953125}, {"start": 876.6, "end": 877.16, "word": " properties", "probability": 0.701171875}, {"start": 877.16, "end": 877.7, "word": " of", "probability": 0.95654296875}, {"start": 877.7, "end": 878.28, "word": " indifference", "probability": 0.735595703125}, {"start": 878.28, "end": 878.56, "word": " curve.", "probability": 0.83544921875}], "temperature": 1.0}, {"id": 32, "seek": 93677, "start": 907.77, "end": 936.77, "text": " Indifference curve properties. What are the characteristics of indifference curve? Here, as we mentioned, that the indifference curve is a downward sloping. It looks like the demand curve.", "tokens": [2333, 351, 5158, 7605, 7221, 13, 708, 366, 264, 10891, 295, 1016, 351, 5158, 7605, 30, 1692, 11, 382, 321, 2835, 11, 300, 264, 1016, 351, 5158, 7605, 307, 257, 24805, 21254, 278, 13, 467, 1542, 411, 264, 4733, 7605, 13], "avg_logprob": -0.16694568168549312, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 907.77, "end": 908.43, "word": " Indifference", "probability": 0.8204752604166666}, {"start": 908.43, "end": 908.85, "word": " curve", "probability": 0.89697265625}, {"start": 908.85, "end": 910.29, "word": " properties.", "probability": 0.252685546875}, {"start": 922.45, "end": 923.29, "word": " What", "probability": 0.89892578125}, {"start": 923.29, "end": 923.77, "word": " are", "probability": 0.9423828125}, {"start": 923.77, "end": 924.47, "word": " the", "probability": 0.9287109375}, {"start": 924.47, "end": 925.19, "word": " characteristics", "probability": 0.90283203125}, {"start": 925.19, "end": 925.63, "word": " of", "probability": 0.97265625}, {"start": 925.63, "end": 926.05, "word": " indifference", "probability": 0.8948567708333334}, {"start": 926.05, "end": 926.41, "word": " curve?", "probability": 0.9296875}, {"start": 927.35, "end": 927.93, "word": " Here,", "probability": 0.77783203125}, {"start": 928.49, "end": 928.87, "word": " as", "probability": 0.96533203125}, {"start": 928.87, "end": 929.03, "word": " we", "probability": 0.74560546875}, {"start": 929.03, "end": 929.39, "word": " mentioned,", "probability": 0.8134765625}, {"start": 929.81, "end": 930.01, "word": " that", "probability": 0.82080078125}, {"start": 930.01, "end": 930.13, "word": " the", "probability": 0.55712890625}, {"start": 930.13, "end": 930.55, "word": " indifference", "probability": 0.92724609375}, {"start": 930.55, "end": 931.01, "word": " curve", "probability": 0.96142578125}, {"start": 931.01, "end": 933.27, "word": " is", "probability": 0.89501953125}, {"start": 933.27, "end": 933.45, "word": " a", "probability": 0.9443359375}, {"start": 933.45, "end": 933.83, "word": " downward", "probability": 0.89501953125}, {"start": 933.83, "end": 934.55, "word": " sloping.", "probability": 0.814697265625}, {"start": 934.87, "end": 935.09, "word": " It", "probability": 0.96337890625}, {"start": 935.09, "end": 935.33, "word": " looks", "probability": 0.845703125}, {"start": 935.33, "end": 935.75, "word": " like", "probability": 0.935546875}, {"start": 935.75, "end": 936.01, "word": " the", "probability": 0.91650390625}, {"start": 936.01, "end": 936.45, "word": " demand", "probability": 0.96435546875}, {"start": 936.45, "end": 936.77, "word": " curve.", "probability": 0.9560546875}], "temperature": 1.0}, {"id": 33, "seek": 95422, "start": 938.0, "end": 954.22, "text": " So number one, this is the indifference curve, quantum X, quantum Y. Number one, the IC is a downward sloping.", "tokens": [407, 1230, 472, 11, 341, 307, 264, 1016, 351, 5158, 7605, 11, 13018, 1783, 11, 13018, 398, 13, 5118, 472, 11, 264, 14360, 307, 257, 24805, 21254, 278, 13], "avg_logprob": -0.2640625129143397, "compression_ratio": 1.1808510638297873, "no_speech_prob": 0.0, "words": [{"start": 938.0, "end": 938.38, "word": " So", "probability": 0.875}, {"start": 938.38, "end": 938.9, "word": " number", "probability": 0.70849609375}, {"start": 938.9, "end": 939.32, "word": " one,", "probability": 0.755859375}, {"start": 940.34, "end": 940.64, "word": " this", "probability": 0.92529296875}, {"start": 940.64, "end": 940.74, "word": " is", "probability": 0.91455078125}, {"start": 940.74, "end": 940.84, "word": " the", "probability": 0.440673828125}, {"start": 940.84, "end": 941.22, "word": " indifference", "probability": 0.732421875}, {"start": 941.22, "end": 941.66, "word": " curve,", "probability": 0.7802734375}, {"start": 942.92, "end": 943.2, "word": " quantum", "probability": 0.5029296875}, {"start": 943.2, "end": 943.64, "word": " X,", "probability": 0.447265625}, {"start": 943.94, "end": 944.22, "word": " quantum", "probability": 0.9443359375}, {"start": 944.22, "end": 944.52, "word": " Y.", "probability": 0.98095703125}, {"start": 946.32, "end": 946.66, "word": " Number", "probability": 0.85205078125}, {"start": 946.66, "end": 947.02, "word": " one,", "probability": 0.8857421875}, {"start": 949.04, "end": 949.28, "word": " the", "probability": 0.89453125}, {"start": 949.28, "end": 949.74, "word": " IC", "probability": 0.80322265625}, {"start": 949.74, "end": 952.12, "word": " is", "probability": 0.9169921875}, {"start": 952.12, "end": 952.28, "word": " a", "probability": 0.8154296875}, {"start": 952.28, "end": 952.66, "word": " downward", "probability": 0.89404296875}, {"start": 952.66, "end": 954.22, "word": " sloping.", "probability": 0.7919921875}], "temperature": 1.0}, {"id": 34, "seek": 98855, "start": 967.95, "end": 988.55, "text": " Or as a negative slope. It's impossible to find this shape of indifference curve.", "tokens": [1610, 382, 257, 3671, 13525, 13, 467, 311, 6243, 281, 915, 341, 3909, 295, 1016, 351, 5158, 7605, 13], "avg_logprob": -0.244921875, "compression_ratio": 1.0649350649350648, "no_speech_prob": 0.0, "words": [{"start": 967.95, "end": 968.21, "word": " Or", "probability": 0.53955078125}, {"start": 968.21, "end": 968.43, "word": " as", "probability": 0.68603515625}, {"start": 968.43, "end": 968.57, "word": " a", "probability": 0.96337890625}, {"start": 968.57, "end": 968.83, "word": " negative", "probability": 0.947265625}, {"start": 968.83, "end": 969.35, "word": " slope.", "probability": 0.87890625}, {"start": 980.09, "end": 981.17, "word": " It's", "probability": 0.953125}, {"start": 981.17, "end": 981.71, "word": " impossible", "probability": 0.837890625}, {"start": 981.71, "end": 982.29, "word": " to", "probability": 0.9697265625}, {"start": 982.29, "end": 982.83, "word": " find", "probability": 0.89453125}, {"start": 982.83, "end": 986.45, "word": " this", "probability": 0.92333984375}, {"start": 986.45, "end": 987.17, "word": " shape", "probability": 0.9306640625}, {"start": 987.17, "end": 987.51, "word": " of", "probability": 0.873046875}, {"start": 987.51, "end": 988.09, "word": " indifference", "probability": 0.8058268229166666}, {"start": 988.09, "end": 988.55, "word": " curve.", "probability": 0.9599609375}], "temperature": 1.0}, {"id": 35, "seek": 102324, "start": 1002.4, "end": 1023.24, "text": " What else? I see. Convex to the original point. Convex. I see. Convex.", "tokens": [708, 1646, 30, 286, 536, 13, 2656, 303, 87, 281, 264, 3380, 935, 13, 2656, 303, 87, 13, 286, 536, 13, 2656, 303, 87, 13], "avg_logprob": -0.18810096841592056, "compression_ratio": 1.1639344262295082, "no_speech_prob": 0.0, "words": [{"start": 1002.3999999999999, "end": 1003.5999999999999, "word": " What", "probability": 0.0811767578125}, {"start": 1003.5999999999999, "end": 1004.8, "word": " else?", "probability": 0.9248046875}, {"start": 1012.26, "end": 1012.86, "word": " I", "probability": 0.86083984375}, {"start": 1012.86, "end": 1013.26, "word": " see.", "probability": 0.76611328125}, {"start": 1015.4, "end": 1016.6, "word": " Convex", "probability": 0.9469401041666666}, {"start": 1016.6, "end": 1016.84, "word": " to", "probability": 0.962890625}, {"start": 1016.84, "end": 1017.06, "word": " the", "probability": 0.904296875}, {"start": 1017.06, "end": 1017.6, "word": " original", "probability": 0.92822265625}, {"start": 1017.6, "end": 1018.2, "word": " point.", "probability": 0.97998046875}, {"start": 1020.0, "end": 1021.02, "word": " Convex.", "probability": 0.9363606770833334}, {"start": 1021.24, "end": 1021.56, "word": " I", "probability": 0.986328125}, {"start": 1021.56, "end": 1021.94, "word": " see.", "probability": 0.93408203125}, {"start": 1022.74, "end": 1023.24, "word": " Convex.", "probability": 0.978515625}], "temperature": 1.0}, {"id": 36, "seek": 105288, "start": 1025.04, "end": 1052.88, "text": " to the original point. Convex, yes? Convex means... Convex to the original point.", "tokens": [281, 264, 3380, 935, 13, 2656, 303, 87, 11, 2086, 30, 2656, 303, 87, 1355, 485, 2656, 303, 87, 281, 264, 3380, 935, 13], "avg_logprob": -0.33062499046325683, "compression_ratio": 1.3898305084745763, "no_speech_prob": 0.0, "words": [{"start": 1025.04, "end": 1025.38, "word": " to", "probability": 0.64306640625}, {"start": 1025.38, "end": 1026.2, "word": " the", "probability": 0.91455078125}, {"start": 1026.2, "end": 1026.82, "word": " original", "probability": 0.92919921875}, {"start": 1026.82, "end": 1030.58, "word": " point.", "probability": 0.95703125}, {"start": 1042.24, "end": 1043.16, "word": " Convex,", "probability": 0.6778767903645834}, {"start": 1043.28, "end": 1043.62, "word": " yes?", "probability": 0.95556640625}, {"start": 1044.14, "end": 1044.58, "word": " Convex", "probability": 0.9695638020833334}, {"start": 1044.58, "end": 1046.04, "word": " means...", "probability": 0.510711669921875}, {"start": 1046.04, "end": 1051.76, "word": " Convex", "probability": 0.87158203125}, {"start": 1051.76, "end": 1051.88, "word": " to", "probability": 0.9072265625}, {"start": 1051.88, "end": 1052.02, "word": " the", "probability": 0.923828125}, {"start": 1052.02, "end": 1052.48, "word": " original", "probability": 0.93212890625}, {"start": 1052.48, "end": 1052.88, "word": " point.", "probability": 0.9736328125}], "temperature": 1.0}, {"id": 37, "seek": 108492, "start": 1057.88, "end": 1084.92, "text": " Number three. A movement from point A to B to C to D to E from left to right along the indifference curve means the marginal rate of substitution will go down or will decline.", "tokens": [5118, 1045, 13, 316, 3963, 490, 935, 316, 281, 363, 281, 383, 281, 413, 281, 462, 490, 1411, 281, 558, 2051, 264, 1016, 351, 5158, 7605, 1355, 264, 16885, 3314, 295, 35827, 486, 352, 760, 420, 486, 15635, 13], "avg_logprob": -0.11953124832361936, "compression_ratio": 1.375, "no_speech_prob": 0.0, "words": [{"start": 1057.88, "end": 1058.18, "word": " Number", "probability": 0.82470703125}, {"start": 1058.18, "end": 1058.6, "word": " three.", "probability": 0.8583984375}, {"start": 1063.5, "end": 1064.28, "word": " A", "probability": 0.83251953125}, {"start": 1064.28, "end": 1064.72, "word": " movement", "probability": 0.93701171875}, {"start": 1064.72, "end": 1066.74, "word": " from", "probability": 0.8642578125}, {"start": 1066.74, "end": 1067.2, "word": " point", "probability": 0.96337890625}, {"start": 1067.2, "end": 1067.76, "word": " A", "probability": 0.92724609375}, {"start": 1067.76, "end": 1067.98, "word": " to", "probability": 0.958984375}, {"start": 1067.98, "end": 1068.58, "word": " B", "probability": 0.99072265625}, {"start": 1068.58, "end": 1069.88, "word": " to", "probability": 0.759765625}, {"start": 1069.88, "end": 1070.34, "word": " C", "probability": 0.99658203125}, {"start": 1070.34, "end": 1071.6, "word": " to", "probability": 0.916015625}, {"start": 1071.6, "end": 1072.06, "word": " D", "probability": 0.99609375}, {"start": 1072.06, "end": 1072.82, "word": " to", "probability": 0.9609375}, {"start": 1072.82, "end": 1073.32, "word": " E", "probability": 0.85302734375}, {"start": 1073.32, "end": 1074.8, "word": " from", "probability": 0.5576171875}, {"start": 1074.8, "end": 1075.3, "word": " left", "probability": 0.943359375}, {"start": 1075.3, "end": 1075.6, "word": " to", "probability": 0.96337890625}, {"start": 1075.6, "end": 1075.98, "word": " right", "probability": 0.92431640625}, {"start": 1075.98, "end": 1076.88, "word": " along", "probability": 0.89453125}, {"start": 1076.88, "end": 1077.18, "word": " the", "probability": 0.91650390625}, {"start": 1077.18, "end": 1077.78, "word": " indifference", "probability": 0.8714192708333334}, {"start": 1077.78, "end": 1078.24, "word": " curve", "probability": 0.94580078125}, {"start": 1078.24, "end": 1078.88, "word": " means", "probability": 0.9033203125}, {"start": 1078.88, "end": 1080.18, "word": " the", "probability": 0.87841796875}, {"start": 1080.18, "end": 1080.64, "word": " marginal", "probability": 0.90869140625}, {"start": 1080.64, "end": 1081.1, "word": " rate", "probability": 0.93994140625}, {"start": 1081.1, "end": 1081.26, "word": " of", "probability": 0.96240234375}, {"start": 1081.26, "end": 1081.92, "word": " substitution", "probability": 0.93408203125}, {"start": 1081.92, "end": 1082.3, "word": " will", "probability": 0.8896484375}, {"start": 1082.3, "end": 1082.56, "word": " go", "probability": 0.96630859375}, {"start": 1082.56, "end": 1083.02, "word": " down", "probability": 0.85693359375}, {"start": 1083.02, "end": 1084.32, "word": " or", "probability": 0.783203125}, {"start": 1084.32, "end": 1084.56, "word": " will", "probability": 0.8818359375}, {"start": 1084.56, "end": 1084.92, "word": " decline.", "probability": 0.9189453125}], "temperature": 1.0}, {"id": 38, "seek": 111538, "start": 1086.34, "end": 1115.38, "text": " A movement from left to right along the same indifference curve means or represents the decreasing of the marginal rate of substitution. A movement from point", "tokens": [316, 3963, 490, 1411, 281, 558, 2051, 264, 912, 1016, 351, 5158, 7605, 1355, 420, 8855, 264, 23223, 295, 264, 16885, 3314, 295, 35827, 13, 316, 3963, 490, 935], "avg_logprob": -0.23554687599341076, "compression_ratio": 1.4324324324324325, "no_speech_prob": 0.0, "words": [{"start": 1086.34, "end": 1086.6, "word": " A", "probability": 0.0771484375}, {"start": 1086.6, "end": 1088.94, "word": " movement", "probability": 0.87841796875}, {"start": 1088.94, "end": 1089.98, "word": " from", "probability": 0.87548828125}, {"start": 1089.98, "end": 1091.32, "word": " left", "probability": 0.91845703125}, {"start": 1091.32, "end": 1091.98, "word": " to", "probability": 0.9609375}, {"start": 1091.98, "end": 1092.52, "word": " right", "probability": 0.9208984375}, {"start": 1092.52, "end": 1093.46, "word": " along", "probability": 0.9033203125}, {"start": 1093.46, "end": 1094.12, "word": " the", "probability": 0.88916015625}, {"start": 1094.12, "end": 1094.74, "word": " same", "probability": 0.8876953125}, {"start": 1094.74, "end": 1095.56, "word": " indifference", "probability": 0.8914388020833334}, {"start": 1095.56, "end": 1096.1, "word": " curve", "probability": 0.890625}, {"start": 1096.1, "end": 1097.3, "word": " means", "probability": 0.73388671875}, {"start": 1097.3, "end": 1098.44, "word": " or", "probability": 0.70703125}, {"start": 1098.44, "end": 1099.18, "word": " represents", "probability": 0.904296875}, {"start": 1099.18, "end": 1100.48, "word": " the", "probability": 0.8701171875}, {"start": 1100.48, "end": 1101.12, "word": " decreasing", "probability": 0.9306640625}, {"start": 1101.12, "end": 1101.56, "word": " of", "probability": 0.96044921875}, {"start": 1101.56, "end": 1101.7, "word": " the", "probability": 0.8896484375}, {"start": 1101.7, "end": 1102.02, "word": " marginal", "probability": 0.70849609375}, {"start": 1102.02, "end": 1102.38, "word": " rate", "probability": 0.7919921875}, {"start": 1102.38, "end": 1102.54, "word": " of", "probability": 0.93994140625}, {"start": 1102.54, "end": 1103.08, "word": " substitution.", "probability": 0.93701171875}, {"start": 1104.26, "end": 1104.7, "word": " A", "probability": 0.55078125}, {"start": 1104.7, "end": 1105.74, "word": " movement", "probability": 0.9296875}, {"start": 1105.74, "end": 1112.64, "word": " from", "probability": 0.85693359375}, {"start": 1112.64, "end": 1115.38, "word": " point", "probability": 0.8916015625}], "temperature": 1.0}, {"id": 39, "seek": 114405, "start": 1116.47, "end": 1144.05, "text": " from left to right to right along the same IC means or represents or shows", "tokens": [490, 1411, 281, 558, 281, 558, 2051, 264, 912, 14360, 1355, 420, 8855, 420, 3110], "avg_logprob": -0.26855469681322575, "compression_ratio": 1.1363636363636365, "no_speech_prob": 0.0, "words": [{"start": 1116.47, "end": 1116.79, "word": " from", "probability": 0.26611328125}, {"start": 1116.79, "end": 1117.11, "word": " left", "probability": 0.94287109375}, {"start": 1117.11, "end": 1117.33, "word": " to", "probability": 0.97314453125}, {"start": 1117.33, "end": 1117.65, "word": " right", "probability": 0.91845703125}, {"start": 1117.65, "end": 1123.79, "word": " to", "probability": 0.276123046875}, {"start": 1123.79, "end": 1126.77, "word": " right", "probability": 0.89794921875}, {"start": 1126.77, "end": 1129.71, "word": " along", "probability": 0.73095703125}, {"start": 1129.71, "end": 1132.55, "word": " the", "probability": 0.916015625}, {"start": 1132.55, "end": 1133.11, "word": " same", "probability": 0.9130859375}, {"start": 1133.11, "end": 1136.59, "word": " IC", "probability": 0.72509765625}, {"start": 1136.59, "end": 1139.07, "word": " means", "probability": 0.8740234375}, {"start": 1139.07, "end": 1141.47, "word": " or", "probability": 0.7666015625}, {"start": 1141.47, "end": 1142.15, "word": " represents", "probability": 0.92431640625}, {"start": 1142.15, "end": 1143.51, "word": " or", "probability": 0.89990234375}, {"start": 1143.51, "end": 1144.05, "word": " shows", "probability": 0.91455078125}], "temperature": 1.0}, {"id": 40, "seek": 117183, "start": 1145.42, "end": 1171.84, "text": " represents the low decreasing the marginal rate of substitution. About four. And difference curves", "tokens": [8855, 264, 2295, 23223, 264, 16885, 3314, 295, 35827, 13, 7769, 1451, 13, 400, 2649, 19490], "avg_logprob": -0.3791360294117647, "compression_ratio": 1.1511627906976745, "no_speech_prob": 0.0, "words": [{"start": 1145.42, "end": 1146.2, "word": " represents", "probability": 0.66943359375}, {"start": 1146.2, "end": 1151.96, "word": " the", "probability": 0.78125}, {"start": 1151.96, "end": 1152.32, "word": " low", "probability": 0.77783203125}, {"start": 1152.32, "end": 1153.14, "word": " decreasing", "probability": 0.65673828125}, {"start": 1153.14, "end": 1153.36, "word": " the", "probability": 0.64013671875}, {"start": 1153.36, "end": 1153.76, "word": " marginal", "probability": 0.8837890625}, {"start": 1153.76, "end": 1154.18, "word": " rate", "probability": 0.93603515625}, {"start": 1154.18, "end": 1154.34, "word": " of", "probability": 0.89599609375}, {"start": 1154.34, "end": 1155.1, "word": " substitution.", "probability": 0.93603515625}, {"start": 1159.84, "end": 1160.44, "word": " About", "probability": 0.1207275390625}, {"start": 1160.44, "end": 1162.14, "word": " four.", "probability": 0.9013671875}, {"start": 1170.52, "end": 1170.94, "word": " And", "probability": 0.63623046875}, {"start": 1170.94, "end": 1171.36, "word": " difference", "probability": 0.708984375}, {"start": 1171.36, "end": 1171.84, "word": " curves", "probability": 0.89697265625}], "temperature": 1.0}, {"id": 41, "seek": 119936, "start": 1175.65, "end": 1199.37, "text": " never touch or never cross. Okay. Or before that, a movement or a false shifting of indifference curve means that the consumer will gain or obtain larger total utility.", "tokens": [1128, 2557, 420, 1128, 3278, 13, 1033, 13, 1610, 949, 300, 11, 257, 3963, 420, 257, 7908, 17573, 295, 1016, 351, 5158, 7605, 1355, 300, 264, 9711, 486, 6052, 420, 12701, 4833, 3217, 14877, 13], "avg_logprob": -0.258680565489663, "compression_ratio": 1.3629032258064515, "no_speech_prob": 0.0, "words": [{"start": 1175.65, "end": 1176.17, "word": " never", "probability": 0.345703125}, {"start": 1176.17, "end": 1176.75, "word": " touch", "probability": 0.8583984375}, {"start": 1176.75, "end": 1178.43, "word": " or", "probability": 0.5771484375}, {"start": 1178.43, "end": 1178.87, "word": " never", "probability": 0.93505859375}, {"start": 1178.87, "end": 1179.39, "word": " cross.", "probability": 0.806640625}, {"start": 1181.35, "end": 1182.39, "word": " Okay.", "probability": 0.268310546875}, {"start": 1183.97, "end": 1184.39, "word": " Or", "probability": 0.69482421875}, {"start": 1184.39, "end": 1184.79, "word": " before", "probability": 0.7998046875}, {"start": 1184.79, "end": 1185.21, "word": " that,", "probability": 0.9228515625}, {"start": 1185.95, "end": 1186.09, "word": " a", "probability": 0.986328125}, {"start": 1186.09, "end": 1186.57, "word": " movement", "probability": 0.9287109375}, {"start": 1186.57, "end": 1189.59, "word": " or", "probability": 0.8798828125}, {"start": 1189.59, "end": 1189.79, "word": " a", "probability": 0.93798828125}, {"start": 1189.79, "end": 1190.05, "word": " false", "probability": 0.2012939453125}, {"start": 1190.05, "end": 1190.59, "word": " shifting", "probability": 0.87646484375}, {"start": 1190.59, "end": 1190.83, "word": " of", "probability": 0.96337890625}, {"start": 1190.83, "end": 1191.35, "word": " indifference", "probability": 0.9031575520833334}, {"start": 1191.35, "end": 1191.77, "word": " curve", "probability": 0.90869140625}, {"start": 1191.77, "end": 1192.95, "word": " means", "probability": 0.83935546875}, {"start": 1192.95, "end": 1193.31, "word": " that", "probability": 0.935546875}, {"start": 1193.31, "end": 1193.49, "word": " the", "probability": 0.912109375}, {"start": 1193.49, "end": 1194.15, "word": " consumer", "probability": 0.8291015625}, {"start": 1194.15, "end": 1195.29, "word": " will", "probability": 0.88134765625}, {"start": 1195.29, "end": 1196.09, "word": " gain", "probability": 0.9384765625}, {"start": 1196.09, "end": 1196.43, "word": " or", "probability": 0.96337890625}, {"start": 1196.43, "end": 1197.21, "word": " obtain", "probability": 0.90380859375}, {"start": 1197.21, "end": 1198.33, "word": " larger", "probability": 0.92626953125}, {"start": 1198.33, "end": 1198.87, "word": " total", "probability": 0.84326171875}, {"start": 1198.87, "end": 1199.37, "word": " utility.", "probability": 0.9619140625}], "temperature": 1.0}, {"id": 42, "seek": 122473, "start": 1204.77, "end": 1224.73, "text": "it gives him 100 utils. If it goes rightward, it takes utilities higher. 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So your IC2, let us assume 150. IC3, 200, and so on. So,", "tokens": [1355, 300, 264, 9711, 16823, 4833, 3217, 14877, 13, 407, 428, 14360, 17, 11, 718, 505, 6552, 8451, 13, 14360, 18, 11, 2331, 11, 293, 370, 322, 13, 407, 11], "avg_logprob": -0.23059475806451613, "compression_ratio": 1.1237113402061856, "no_speech_prob": 0.0, "words": [{"start": 1226.78, "end": 1227.3, "word": " means", "probability": 0.4521484375}, {"start": 1227.3, "end": 1227.6, "word": " that", "probability": 0.92822265625}, {"start": 1227.6, "end": 1227.82, "word": " the", "probability": 0.90380859375}, {"start": 1227.82, "end": 1228.54, "word": " consumer", "probability": 0.83642578125}, {"start": 1228.54, "end": 1229.58, "word": " gains", "probability": 0.8994140625}, {"start": 1229.58, "end": 1230.76, "word": " larger", "probability": 0.8994140625}, {"start": 1230.76, "end": 1231.34, "word": " total", "probability": 0.84423828125}, {"start": 1231.34, "end": 1231.74, "word": " utility.", "probability": 0.96240234375}, {"start": 1232.58, "end": 1232.72, "word": " So", "probability": 0.93798828125}, {"start": 1232.72, "end": 1232.96, "word": " your", "probability": 0.6279296875}, {"start": 1232.96, "end": 1233.68, "word": " IC2,", "probability": 0.8349609375}, {"start": 1233.86, "end": 1234.06, "word": " let", "probability": 0.939453125}, {"start": 1234.06, "end": 1234.22, "word": " us", "probability": 0.86181640625}, {"start": 1234.22, "end": 1234.62, "word": " assume", "probability": 0.9130859375}, {"start": 1234.62, "end": 1235.36, "word": " 150.", "probability": 0.66455078125}, {"start": 1236.76, "end": 1237.86, "word": " IC3,", "probability": 0.7646484375}, {"start": 1239.18, "end": 1240.02, "word": " 200,", "probability": 0.89111328125}, {"start": 1241.18, "end": 1242.3, "word": " and", "probability": 0.93505859375}, {"start": 1242.3, "end": 1242.44, "word": " so", "probability": 0.951171875}, {"start": 1242.44, "end": 1242.62, "word": " on.", "probability": 0.94482421875}, {"start": 1243.34, "end": 1243.74, "word": " So,", "probability": 0.95947265625}], "temperature": 1.0}, {"id": 44, "seek": 126919, "start": 1246.17, "end": 1269.19, "text": " A movement or a full shifting or rightward shifting and vice versa. Rightward shifting of indifference curve means that the consumer will gain larger total utility. Number three or four here. 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"temperature": 1.0}, {"id": 46, "seek": 133282, "start": 1303.44, "end": 1332.82, "text": " and vice versa. The leftward shifting of indifference curve means that the consumer will gain less total utility. What else? Number five. 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Number five here. Gains. Gets. Five, the indifference curves. The indifference curves.", "tokens": [7344, 2557, 420, 500, 380, 3278, 13, 5118, 1732, 510, 13, 460, 2315, 13, 460, 1385, 13, 9436, 11, 264, 1016, 351, 5158, 19490, 13, 440, 1016, 351, 5158, 19490, 13], "avg_logprob": -0.29272459726780653, "compression_ratio": 1.2921348314606742, "no_speech_prob": 0.0, "words": [{"start": 1333.92, "end": 1334.44, "word": " Never", "probability": 0.50048828125}, {"start": 1334.44, "end": 1335.04, "word": " touch", "probability": 0.88818359375}, {"start": 1335.04, "end": 1336.32, "word": " or", "probability": 0.60302734375}, {"start": 1336.32, "end": 1336.78, "word": " don't", "probability": 0.971435546875}, {"start": 1336.78, "end": 1337.3, "word": " cross.", "probability": 0.83056640625}, {"start": 1339.2, "end": 1339.48, "word": " Number", "probability": 0.87255859375}, {"start": 1339.48, "end": 1339.82, "word": " five", "probability": 0.89111328125}, {"start": 1339.82, "end": 1340.84, "word": " here.", "probability": 0.814453125}, {"start": 1344.8, "end": 1346.0, "word": " Gains.", "probability": 0.7255859375}, {"start": 1350.46, "end": 1351.86, "word": " Gets.", "probability": 0.48406982421875}, {"start": 1352.8, "end": 1354.2, "word": " Five,", "probability": 0.74755859375}, {"start": 1355.4, "end": 1355.56, "word": " the", "probability": 0.8603515625}, {"start": 1355.56, "end": 1356.22, "word": " indifference", "probability": 0.91455078125}, {"start": 1356.22, "end": 1356.8, "word": " curves.", "probability": 0.89697265625}, {"start": 1358.28, "end": 1358.6, "word": " The", "probability": 0.81201171875}, {"start": 1358.6, "end": 1360.4, "word": " indifference", "probability": 0.9490559895833334}, {"start": 1360.4, "end": 1360.94, "word": " curves.", "probability": 0.8974609375}], "temperature": 1.0}, {"id": 48, "seek": 139152, "start": 1365.68, "end": 1391.52, "text": " curves don't touch or cross or intersect with each other. So it's impossible to find two indifference curves like this. One is near IC1 and one is near IC2.", "tokens": [19490, 500, 380, 2557, 420, 3278, 420, 27815, 365, 1184, 661, 13, 407, 309, 311, 6243, 281, 915, 732, 1016, 351, 5158, 19490, 411, 341, 13, 1485, 307, 2651, 14360, 16, 293, 472, 307, 2651, 14360, 17, 13], "avg_logprob": -0.27764421701431274, "compression_ratio": 1.2975206611570247, "no_speech_prob": 0.0, "words": [{"start": 1365.68, "end": 1366.94, "word": " curves", "probability": 0.84375}, {"start": 1366.94, "end": 1368.2, "word": " don't", "probability": 0.91162109375}, {"start": 1368.2, "end": 1370.14, "word": " touch", "probability": 0.88232421875}, {"start": 1370.14, "end": 1370.46, "word": " or", "probability": 0.84814453125}, {"start": 1370.46, "end": 1370.86, "word": " cross", "probability": 0.771484375}, {"start": 1370.86, "end": 1373.5, "word": " or", "probability": 0.87548828125}, {"start": 1373.5, "end": 1374.38, "word": " intersect", "probability": 0.91552734375}, {"start": 1374.38, "end": 1376.96, "word": " with", "probability": 0.90576171875}, {"start": 1376.96, "end": 1377.28, "word": " each", "probability": 0.9453125}, {"start": 1377.28, "end": 1377.68, "word": " other.", "probability": 0.89404296875}, {"start": 1378.8, "end": 1380.06, "word": " So", "probability": 0.9306640625}, {"start": 1380.06, "end": 1381.62, "word": " it's", "probability": 0.892578125}, {"start": 1381.62, "end": 1382.14, "word": " impossible", "probability": 0.8408203125}, {"start": 1382.14, "end": 1382.52, "word": " to", "probability": 0.9716796875}, {"start": 1382.52, "end": 1383.08, "word": " find", "probability": 0.8935546875}, {"start": 1383.08, "end": 1384.8, "word": " two", "probability": 0.91259765625}, {"start": 1384.8, "end": 1385.5, "word": " indifference", "probability": 0.9039713541666666}, {"start": 1385.5, "end": 1386.06, "word": " curves", "probability": 0.8955078125}, {"start": 1386.06, "end": 1386.76, "word": " like", "probability": 0.92724609375}, {"start": 1386.76, "end": 1387.2, "word": " this.", "probability": 0.95068359375}, {"start": 1388.36, "end": 1388.74, "word": " One", "probability": 0.45556640625}, {"start": 1388.74, "end": 1388.94, "word": " is", "probability": 0.2432861328125}, {"start": 1388.94, "end": 1389.18, "word": " near", "probability": 0.230712890625}, {"start": 1389.18, "end": 1390.12, "word": " IC1", "probability": 0.82177734375}, {"start": 1390.12, "end": 1390.82, "word": " and", "probability": 0.7412109375}, {"start": 1390.82, "end": 1390.9, "word": " one", "probability": 0.43408203125}, {"start": 1390.9, "end": 1390.9, "word": " is", "probability": 0.603515625}, {"start": 1390.9, "end": 1390.9, "word": " near", "probability": 0.8779296875}, {"start": 1390.9, "end": 1391.52, "word": " IC2.", "probability": 0.97119140625}], "temperature": 1.0}, {"id": 49, "seek": 142604, "start": 1408.76, "end": 1426.04, "text": " So the assumption here is that the indifference curves don't cross, don't intersect with each other. How? 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And then we will prove that there is no or it's impossible to intersect or to find an intersection between two indifference curves. To prove this,", "tokens": [400, 436, 11, 420, 456, 307, 364, 15236, 1296, 613, 732, 19490, 13, 400, 550, 321, 486, 7081, 300, 456, 307, 572, 420, 309, 311, 6243, 281, 27815, 420, 281, 915, 364, 15236, 1296, 732, 1016, 351, 5158, 19490, 13, 1407, 7081, 341, 11], "avg_logprob": -0.17465277512868246, "compression_ratio": 1.6614173228346456, "no_speech_prob": 0.0, "words": [{"start": 1427.66, "end": 1428.06, "word": " And", "probability": 0.451904296875}, {"start": 1428.06, "end": 1428.52, "word": " they,", "probability": 0.7099609375}, {"start": 1429.32, "end": 1429.46, "word": " or", "probability": 0.9501953125}, {"start": 1429.46, "end": 1429.74, "word": " there", "probability": 0.90771484375}, {"start": 1429.74, "end": 1430.08, "word": " is", "probability": 0.92578125}, {"start": 1430.08, "end": 1430.42, "word": " an", "probability": 0.89599609375}, {"start": 1430.42, "end": 1431.26, "word": " intersection", "probability": 0.916015625}, {"start": 1431.26, "end": 1431.72, "word": " between", "probability": 0.869140625}, {"start": 1431.72, "end": 1432.16, "word": " these", "probability": 0.86376953125}, {"start": 1432.16, "end": 1432.38, "word": " two", "probability": 0.93798828125}, {"start": 1432.38, "end": 1432.76, "word": " curves.", "probability": 0.92919921875}, {"start": 1435.48, "end": 1436.36, "word": " And", "probability": 0.8798828125}, {"start": 1436.36, "end": 1436.52, "word": " then", "probability": 0.8330078125}, {"start": 1436.52, "end": 1436.66, "word": " we", "probability": 0.8955078125}, {"start": 1436.66, "end": 1436.82, "word": " will", "probability": 0.58837890625}, {"start": 1436.82, "end": 1437.38, "word": " prove", "probability": 0.86376953125}, {"start": 1437.38, "end": 1438.34, "word": " that", "probability": 0.90576171875}, {"start": 1438.34, "end": 1438.56, "word": " there", "probability": 0.90087890625}, {"start": 1438.56, "end": 1438.82, "word": " is", "probability": 0.93701171875}, {"start": 1438.82, "end": 1439.3, "word": " no", "probability": 0.9404296875}, {"start": 1439.3, "end": 1439.64, "word": " or", "probability": 0.3623046875}, {"start": 1439.64, "end": 1439.92, "word": " it's", "probability": 0.8720703125}, {"start": 1439.92, "end": 1440.5, "word": " impossible", "probability": 0.83349609375}, {"start": 1440.5, "end": 1441.28, "word": " to", "probability": 0.96533203125}, {"start": 1441.28, "end": 1442.06, "word": " intersect", "probability": 0.93994140625}, {"start": 1442.06, "end": 1442.36, "word": " or", "probability": 0.92431640625}, {"start": 1442.36, "end": 1442.56, "word": " to", "probability": 0.95947265625}, {"start": 1442.56, "end": 1442.86, "word": " find", "probability": 0.8974609375}, {"start": 1442.86, "end": 1443.42, "word": " an", "probability": 0.8876953125}, {"start": 1443.42, "end": 1443.88, "word": " intersection", "probability": 0.90576171875}, {"start": 1443.88, "end": 1444.28, "word": " between", "probability": 0.87451171875}, {"start": 1444.28, "end": 1444.64, "word": " two", "probability": 0.9375}, {"start": 1444.64, "end": 1445.08, "word": " indifference", "probability": 0.8118489583333334}, {"start": 1445.08, "end": 1445.56, "word": " curves.", "probability": 0.8994140625}, {"start": 1453.26, "end": 1454.14, "word": " To", "probability": 0.9521484375}, {"start": 1454.14, "end": 1454.78, "word": " prove", "probability": 0.9306640625}, {"start": 1454.78, "end": 1456.44, "word": " this,", "probability": 0.9443359375}], "temperature": 1.0}, {"id": 51, "seek": 148480, "start": 1457.46, "end": 1484.8, "text": " Assumption here. The difference curves don't cross. Let us assume that there is a cross between two indifference curves. Quantum Y and quantum X. And here is IC1 and IC2. Point A,", "tokens": [6281, 449, 1695, 510, 13, 440, 2649, 19490, 500, 380, 3278, 13, 961, 505, 6552, 300, 456, 307, 257, 3278, 1296, 732, 1016, 351, 5158, 19490, 13, 44964, 398, 293, 13018, 1783, 13, 400, 510, 307, 14360, 16, 293, 14360, 17, 13, 12387, 316, 11], "avg_logprob": -0.3923233598470688, "compression_ratio": 1.3636363636363635, "no_speech_prob": 0.0, "words": [{"start": 1457.46, "end": 1458.4, "word": " Assumption", "probability": 0.7294921875}, {"start": 1458.4, "end": 1459.44, "word": " here.", "probability": 0.80908203125}, {"start": 1460.94, "end": 1462.04, "word": " The", "probability": 0.137939453125}, {"start": 1462.04, "end": 1462.78, "word": " difference", "probability": 0.5888671875}, {"start": 1462.78, "end": 1463.38, "word": " curves", "probability": 0.59814453125}, {"start": 1463.38, "end": 1464.02, "word": " don't", "probability": 0.92822265625}, {"start": 1464.02, "end": 1464.5, "word": " cross.", "probability": 0.80712890625}, {"start": 1465.12, "end": 1465.26, "word": " Let", "probability": 0.9521484375}, {"start": 1465.26, "end": 1465.48, "word": " us", "probability": 0.7470703125}, {"start": 1465.48, "end": 1465.9, "word": " assume", "probability": 0.90673828125}, {"start": 1465.9, "end": 1466.4, "word": " that", "probability": 0.62939453125}, {"start": 1466.4, "end": 1466.72, "word": " there", "probability": 0.8984375}, {"start": 1466.72, "end": 1467.08, "word": " is", "probability": 0.93115234375}, {"start": 1467.08, "end": 1467.38, "word": " a", "probability": 0.908203125}, {"start": 1467.38, "end": 1467.74, "word": " cross", "probability": 0.9111328125}, {"start": 1467.74, "end": 1468.8, "word": " between", "probability": 0.8720703125}, {"start": 1468.8, "end": 1469.74, "word": " two", "probability": 0.92138671875}, {"start": 1469.74, "end": 1470.7, "word": " indifference", "probability": 0.714111328125}, {"start": 1470.7, "end": 1471.14, "word": " curves.", "probability": 0.8916015625}, {"start": 1472.48, "end": 1472.84, "word": " Quantum", "probability": 0.1661376953125}, {"start": 1472.84, "end": 1473.2, "word": " Y", "probability": 0.67431640625}, {"start": 1473.2, "end": 1474.38, "word": " and", "probability": 0.81640625}, {"start": 1474.38, "end": 1474.74, "word": " quantum", "probability": 0.429931640625}, {"start": 1474.74, "end": 1475.16, "word": " X.", "probability": 0.95263671875}, {"start": 1476.22, "end": 1476.36, "word": " And", "probability": 0.53515625}, {"start": 1476.36, "end": 1476.56, "word": " here", "probability": 0.7646484375}, {"start": 1476.56, "end": 1476.76, "word": " is", "probability": 0.45263671875}, {"start": 1476.76, "end": 1477.54, "word": " IC1", "probability": 0.7763671875}, {"start": 1477.54, "end": 1479.56, "word": " and", "probability": 0.810546875}, {"start": 1479.56, "end": 1480.46, "word": " IC2.", "probability": 0.96533203125}, {"start": 1483.38, "end": 1484.48, "word": " Point", "probability": 0.84765625}, {"start": 1484.48, "end": 1484.8, "word": " A,", "probability": 0.939453125}], "temperature": 1.0}, {"id": 52, "seek": 151349, "start": 1486.03, "end": 1513.49, "text": " B, C, D, and E. So we're going to prove that there is no intersection, no cross between two indifference curves. In this graph, what do you see?", "tokens": [363, 11, 383, 11, 413, 11, 293, 462, 13, 407, 321, 434, 516, 281, 7081, 300, 456, 307, 572, 15236, 11, 572, 3278, 1296, 732, 1016, 351, 5158, 19490, 13, 682, 341, 4295, 11, 437, 360, 291, 536, 30], "avg_logprob": -0.12812499962747098, "compression_ratio": 1.2083333333333333, "no_speech_prob": 0.0, "words": [{"start": 1486.03, "end": 1486.47, "word": " B,", "probability": 0.421142578125}, {"start": 1487.35, "end": 1487.63, "word": " C,", "probability": 0.94677734375}, {"start": 1488.97, "end": 1489.83, "word": " D,", "probability": 0.939453125}, {"start": 1490.13, "end": 1490.41, "word": " and", "probability": 0.94482421875}, {"start": 1490.41, "end": 1490.65, "word": " E.", "probability": 0.6474609375}, {"start": 1492.03, "end": 1492.97, "word": " So", "probability": 0.96142578125}, {"start": 1492.97, "end": 1493.53, "word": " we're", "probability": 0.75390625}, {"start": 1493.53, "end": 1493.75, "word": " going", "probability": 0.90380859375}, {"start": 1493.75, "end": 1493.87, "word": " to", "probability": 0.97021484375}, {"start": 1493.87, "end": 1494.45, "word": " prove", "probability": 0.92431640625}, {"start": 1494.45, "end": 1495.89, "word": " that", "probability": 0.91650390625}, {"start": 1495.89, "end": 1496.25, "word": " there", "probability": 0.90283203125}, {"start": 1496.25, "end": 1496.51, "word": " is", "probability": 0.939453125}, {"start": 1496.51, "end": 1497.07, "word": " no", "probability": 0.958984375}, {"start": 1497.07, "end": 1498.03, "word": " intersection,", "probability": 0.908203125}, {"start": 1498.69, "end": 1498.85, "word": " no", "probability": 0.94287109375}, {"start": 1498.85, "end": 1499.33, "word": " cross", "probability": 0.89501953125}, {"start": 1499.33, "end": 1499.93, "word": " between", "probability": 0.85400390625}, {"start": 1499.93, "end": 1500.73, "word": " two", "probability": 0.92919921875}, {"start": 1500.73, "end": 1501.27, "word": " indifference", "probability": 0.8523763020833334}, {"start": 1501.27, "end": 1501.83, "word": " curves.", "probability": 0.9033203125}, {"start": 1511.35, "end": 1511.93, "word": " In", "probability": 0.8115234375}, {"start": 1511.93, "end": 1512.13, "word": " this", "probability": 0.939453125}, {"start": 1512.13, "end": 1512.59, "word": " graph,", "probability": 0.9619140625}, {"start": 1512.81, "end": 1513.03, "word": " what", "probability": 0.9296875}, {"start": 1513.03, "end": 1513.15, "word": " do", "probability": 0.95458984375}, {"start": 1513.15, "end": 1513.23, "word": " you", "probability": 0.8955078125}, {"start": 1513.23, "end": 1513.49, "word": " see?", "probability": 0.931640625}], "temperature": 1.0}, {"id": 53, "seek": 154383, "start": 1515.05, "end": 1543.83, "text": " Point C lies along indifference curve 1. So C and A and D lie along the same indifference curve. So C equals A equals D because they give the same total utility for the consumer.", "tokens": [12387, 383, 9134, 2051, 1016, 351, 5158, 7605, 502, 13, 407, 383, 293, 316, 293, 413, 4544, 2051, 264, 912, 1016, 351, 5158, 7605, 13, 407, 383, 6915, 316, 6915, 413, 570, 436, 976, 264, 912, 3217, 14877, 337, 264, 9711, 13], "avg_logprob": -0.15161700234856718, "compression_ratio": 1.4672131147540983, "no_speech_prob": 0.0, "words": [{"start": 1515.05, "end": 1515.47, "word": " Point", "probability": 0.7734375}, {"start": 1515.47, "end": 1515.91, "word": " C", "probability": 0.91357421875}, {"start": 1515.91, "end": 1518.15, "word": " lies", "probability": 0.9091796875}, {"start": 1518.15, "end": 1518.73, "word": " along", "probability": 0.95361328125}, {"start": 1518.73, "end": 1519.45, "word": " indifference", "probability": 0.8776041666666666}, {"start": 1519.45, "end": 1519.93, "word": " curve", "probability": 0.93408203125}, {"start": 1519.93, "end": 1520.55, "word": " 1.", "probability": 0.5029296875}, {"start": 1522.55, "end": 1523.57, "word": " So", "probability": 0.498046875}, {"start": 1523.57, "end": 1524.99, "word": " C", "probability": 0.8154296875}, {"start": 1524.99, "end": 1526.23, "word": " and", "probability": 0.615234375}, {"start": 1526.23, "end": 1526.59, "word": " A", "probability": 0.86279296875}, {"start": 1526.59, "end": 1526.89, "word": " and", "probability": 0.9482421875}, {"start": 1526.89, "end": 1527.29, "word": " D", "probability": 0.962890625}, {"start": 1527.29, "end": 1529.65, "word": " lie", "probability": 0.79052734375}, {"start": 1529.65, "end": 1530.35, "word": " along", "probability": 0.951171875}, {"start": 1530.35, "end": 1530.81, "word": " the", "probability": 0.90673828125}, {"start": 1530.81, "end": 1531.13, "word": " same", "probability": 0.8818359375}, {"start": 1531.13, "end": 1531.63, "word": " indifference", "probability": 0.9215494791666666}, {"start": 1531.63, "end": 1531.97, "word": " curve.", "probability": 0.92138671875}, {"start": 1532.97, "end": 1533.99, "word": " So", "probability": 0.94970703125}, {"start": 1533.99, "end": 1534.53, "word": " C", "probability": 0.939453125}, {"start": 1534.53, "end": 1536.79, "word": " equals", "probability": 0.87109375}, {"start": 1536.79, "end": 1537.17, "word": " A", "probability": 0.98779296875}, {"start": 1537.17, "end": 1537.71, "word": " equals", "probability": 0.94287109375}, {"start": 1537.71, "end": 1538.01, "word": " D", "probability": 0.95751953125}, {"start": 1538.01, "end": 1539.37, "word": " because", "probability": 0.47802734375}, {"start": 1539.37, "end": 1540.03, "word": " they", "probability": 0.89892578125}, {"start": 1540.03, "end": 1540.55, "word": " give", "probability": 0.8876953125}, {"start": 1540.55, "end": 1541.99, "word": " the", "probability": 0.9111328125}, {"start": 1541.99, "end": 1542.33, "word": " same", "probability": 0.8994140625}, {"start": 1542.33, "end": 1542.69, "word": " total", "probability": 0.8427734375}, {"start": 1542.69, "end": 1542.99, "word": " utility", "probability": 0.9775390625}, {"start": 1542.99, "end": 1543.25, "word": " for", "probability": 0.9140625}, {"start": 1543.25, "end": 1543.39, "word": " the", "probability": 0.9140625}, {"start": 1543.39, "end": 1543.83, "word": " consumer.", "probability": 0.84423828125}], "temperature": 1.0}, {"id": 54, "seek": 157233, "start": 1546.89, "end": 1572.33, "text": " Along the indifference curve 2, B equals A equals E because they give the consumer the same total utility. Along indifference curve 1, C equals A equals D. Along indifference curve 2, B equals A equals E.", "tokens": [17457, 264, 1016, 351, 5158, 7605, 568, 11, 363, 6915, 316, 6915, 462, 570, 436, 976, 264, 9711, 264, 912, 3217, 14877, 13, 17457, 1016, 351, 5158, 7605, 502, 11, 383, 6915, 316, 6915, 413, 13, 17457, 1016, 351, 5158, 7605, 568, 11, 363, 6915, 316, 6915, 462, 13], "avg_logprob": -0.18796874433755875, "compression_ratio": 1.8303571428571428, "no_speech_prob": 0.0, "words": [{"start": 1546.89, "end": 1547.73, "word": " Along", "probability": 0.11846923828125}, {"start": 1547.73, "end": 1548.57, "word": " the", "probability": 0.6865234375}, {"start": 1548.57, "end": 1549.05, "word": " indifference", "probability": 0.85791015625}, {"start": 1549.05, "end": 1549.33, "word": " curve", "probability": 0.92041015625}, {"start": 1549.33, "end": 1549.67, "word": " 2,", "probability": 0.331787109375}, {"start": 1550.55, "end": 1552.35, "word": " B", "probability": 0.865234375}, {"start": 1552.35, "end": 1554.21, "word": " equals", "probability": 0.697265625}, {"start": 1554.21, "end": 1554.63, "word": " A", "probability": 0.97509765625}, {"start": 1554.63, "end": 1555.27, "word": " equals", "probability": 0.93701171875}, {"start": 1555.27, "end": 1555.57, "word": " E", "probability": 0.98583984375}, {"start": 1555.57, "end": 1556.91, "word": " because", "probability": 0.46728515625}, {"start": 1556.91, "end": 1557.43, "word": " they", "probability": 0.89599609375}, {"start": 1557.43, "end": 1557.69, "word": " give", "probability": 0.873046875}, {"start": 1557.69, "end": 1557.83, "word": " the", "probability": 0.9169921875}, {"start": 1557.83, "end": 1558.33, "word": " consumer", "probability": 0.8359375}, {"start": 1558.33, "end": 1558.61, "word": " the", "probability": 0.90576171875}, {"start": 1558.61, "end": 1558.91, "word": " same", "probability": 0.89892578125}, {"start": 1558.91, "end": 1559.27, "word": " total", "probability": 0.82568359375}, {"start": 1559.27, "end": 1559.75, "word": " utility.", "probability": 0.970703125}, {"start": 1561.11, "end": 1561.95, "word": " Along", "probability": 0.7392578125}, {"start": 1561.95, "end": 1564.03, "word": " indifference", "probability": 0.8562825520833334}, {"start": 1564.03, "end": 1564.35, "word": " curve", "probability": 0.9482421875}, {"start": 1564.35, "end": 1564.63, "word": " 1,", "probability": 0.90576171875}, {"start": 1565.73, "end": 1566.21, "word": " C", "probability": 0.984375}, {"start": 1566.21, "end": 1566.87, "word": " equals", "probability": 0.955078125}, {"start": 1566.87, "end": 1567.11, "word": " A", "probability": 0.9951171875}, {"start": 1567.11, "end": 1567.55, "word": " equals", "probability": 0.94482421875}, {"start": 1567.55, "end": 1567.83, "word": " D.", "probability": 0.9560546875}, {"start": 1568.47, "end": 1568.89, "word": " Along", "probability": 0.92041015625}, {"start": 1568.89, "end": 1569.95, "word": " indifference", "probability": 0.9117838541666666}, {"start": 1569.95, "end": 1570.23, "word": " curve", "probability": 0.93017578125}, {"start": 1570.23, "end": 1570.45, "word": " 2,", "probability": 0.96875}, {"start": 1570.61, "end": 1570.85, "word": " B", "probability": 0.9892578125}, {"start": 1570.85, "end": 1571.39, "word": " equals", "probability": 0.9423828125}, {"start": 1571.39, "end": 1571.65, "word": " A", "probability": 0.9970703125}, {"start": 1571.65, "end": 1572.03, "word": " equals", "probability": 0.9443359375}, {"start": 1572.03, "end": 1572.33, "word": " E.", "probability": 0.99853515625}], "temperature": 1.0}, {"id": 55, "seek": 159442, "start": 1580.1, "end": 1594.42, "text": " In economics, in economics. Along IC1, at IC1. What do you see? At IC1.", "tokens": [682, 14564, 11, 294, 14564, 13, 17457, 14360, 16, 11, 412, 14360, 16, 13, 708, 360, 291, 536, 30, 1711, 14360, 16, 13], "avg_logprob": -0.2833658990760644, "compression_ratio": 1.1428571428571428, "no_speech_prob": 0.0, "words": [{"start": 1580.1000000000001, "end": 1581.22, "word": " In", "probability": 0.49951171875}, {"start": 1581.22, "end": 1581.76, "word": " economics,", "probability": 0.51806640625}, {"start": 1582.34, "end": 1582.52, "word": " in", "probability": 0.56689453125}, {"start": 1582.52, "end": 1583.12, "word": " economics.", "probability": 0.86669921875}, {"start": 1585.26, "end": 1586.14, "word": " Along", "probability": 0.9052734375}, {"start": 1586.14, "end": 1587.72, "word": " IC1,", "probability": 0.885986328125}, {"start": 1587.88, "end": 1588.32, "word": " at", "probability": 0.94580078125}, {"start": 1588.32, "end": 1590.52, "word": " IC1.", "probability": 0.980712890625}, {"start": 1590.74, "end": 1591.02, "word": " What", "probability": 0.69287109375}, {"start": 1591.02, "end": 1591.2, "word": " do", "probability": 0.8642578125}, {"start": 1591.2, "end": 1591.24, "word": " you", "probability": 0.9697265625}, {"start": 1591.24, "end": 1591.42, "word": " see?", "probability": 0.81787109375}, {"start": 1592.78, "end": 1593.58, "word": " At", "probability": 0.9375}, {"start": 1593.58, "end": 1594.42, "word": " IC1.", "probability": 0.98095703125}], "temperature": 1.0}, {"id": 56, "seek": 162334, "start": 1595.5, "end": 1623.34, "text": " Point C equals A equals D because these combinations, these groups will give the consumer the same total utility. So point A, C equals A equals D, right? 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B gives the same as A, the same as E, the total utility. So B equals A equals E. 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D is bigger than E. In Eclamics. B is bigger than C. And D is bigger than E.", "tokens": [363, 307, 3801, 813, 383, 13, 413, 307, 3801, 813, 462, 13, 682, 462, 3474, 335, 1167, 13, 363, 307, 3801, 813, 383, 13, 400, 413, 307, 3801, 813, 462, 13], "avg_logprob": -0.2829589815810323, "compression_ratio": 1.7962962962962963, "no_speech_prob": 0.0, "words": [{"start": 1683.9, "end": 1684.66, "word": " B", "probability": 0.039794921875}, {"start": 1684.66, "end": 1685.42, "word": " is", "probability": 0.7861328125}, {"start": 1685.42, "end": 1685.68, "word": " bigger", "probability": 0.9248046875}, {"start": 1685.68, "end": 1685.96, "word": " than", "probability": 0.9482421875}, {"start": 1685.96, "end": 1686.28, "word": " C.", "probability": 0.93115234375}, {"start": 1686.7, "end": 1687.06, "word": " D", "probability": 0.86767578125}, {"start": 1687.06, "end": 1687.54, "word": " is", "probability": 0.962890625}, {"start": 1687.54, "end": 1687.8, "word": " bigger", "probability": 0.93701171875}, {"start": 1687.8, "end": 1688.12, "word": " than", "probability": 0.96044921875}, {"start": 1688.12, "end": 1688.44, "word": " E.", "probability": 0.931640625}, {"start": 1690.12, "end": 1690.62, "word": " In", "probability": 0.84228515625}, {"start": 1690.62, "end": 1691.3, "word": " Eclamics.", "probability": 0.70794677734375}, {"start": 1699.32, "end": 1700.08, "word": " B", "probability": 0.92724609375}, {"start": 1700.08, "end": 1700.98, "word": " is", "probability": 0.955078125}, {"start": 1700.98, "end": 1701.26, "word": " bigger", "probability": 0.94189453125}, {"start": 1701.26, "end": 1701.6, "word": " than", "probability": 0.95703125}, {"start": 1701.6, "end": 1701.9, "word": " C.", "probability": 0.9921875}, {"start": 1705.26, "end": 1705.66, "word": " And", "probability": 0.7607421875}, {"start": 1705.66, "end": 1707.38, "word": " D", "probability": 0.83154296875}, {"start": 1707.38, "end": 1707.96, "word": " is", "probability": 0.9599609375}, {"start": 1707.96, "end": 1708.2, "word": " bigger", "probability": 0.94677734375}, {"start": 1708.2, "end": 1708.52, "word": " than", "probability": 0.9580078125}, {"start": 1708.52, "end": 1708.76, "word": " E.", "probability": 0.99609375}], "temperature": 1.0}, {"id": 60, "seek": 174277, "start": 1714.99, "end": 1742.77, "text": " All our life in economics, we follow mathematics. 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{"start": 1740.59, "end": 1740.79, "word": " is", "probability": 0.935546875}, {"start": 1740.79, "end": 1740.99, "word": " bigger", "probability": 0.9169921875}, {"start": 1740.99, "end": 1741.27, "word": " than", "probability": 0.958984375}, {"start": 1741.27, "end": 1741.57, "word": " C", "probability": 0.990234375}, {"start": 1741.57, "end": 1741.81, "word": " and", "probability": 0.45458984375}, {"start": 1741.81, "end": 1742.05, "word": " D", "probability": 0.9033203125}, {"start": 1742.05, "end": 1742.25, "word": " is", "probability": 0.86962890625}, {"start": 1742.25, "end": 1742.41, "word": " bigger", "probability": 0.509765625}, {"start": 1742.41, "end": 1742.61, "word": " than", "probability": 0.892578125}, {"start": 1742.61, "end": 1742.77, "word": " E.", "probability": 0.339111328125}], "temperature": 1.0}, {"id": 61, "seek": 176211, "start": 1743.07, "end": 1762.11, "text": " So, had a few in the contradiction. And so, we say that the indifference curve never cross. Okay?", "tokens": [407, 11, 632, 257, 1326, 294, 264, 34937, 13, 400, 370, 11, 321, 584, 300, 264, 1016, 351, 5158, 7605, 1128, 3278, 13, 1033, 30], "avg_logprob": -0.29957933494677913, "compression_ratio": 1.101123595505618, "no_speech_prob": 0.0, "words": [{"start": 1743.07, "end": 1743.51, "word": " So,", "probability": 0.87451171875}, {"start": 1744.33, "end": 1744.55, "word": " had", "probability": 0.28857421875}, {"start": 1744.55, "end": 1744.69, "word": " a", "probability": 0.58984375}, {"start": 1744.69, "end": 1744.77, "word": " few", "probability": 0.88525390625}, {"start": 1744.77, "end": 1744.91, "word": " in", "probability": 0.5361328125}, {"start": 1744.91, "end": 1744.99, "word": " the", "probability": 0.8369140625}, {"start": 1744.99, "end": 1745.67, "word": " contradiction.", "probability": 0.86767578125}, {"start": 1748.25, "end": 1749.03, "word": " And", "probability": 0.356689453125}, {"start": 1749.03, "end": 1749.51, "word": " so,", "probability": 0.93017578125}, {"start": 1749.97, "end": 1750.39, "word": " we", "probability": 0.771484375}, {"start": 1750.39, "end": 1751.33, "word": " say", "probability": 0.921875}, {"start": 1751.33, "end": 1752.01, "word": " that", "probability": 0.94091796875}, {"start": 1752.01, "end": 1753.39, "word": " the", "probability": 0.693359375}, {"start": 1753.39, "end": 1754.23, "word": " indifference", "probability": 0.896484375}, {"start": 1754.23, "end": 1754.75, "word": " curve", "probability": 0.9189453125}, {"start": 1754.75, "end": 1755.75, "word": " never", "probability": 0.90087890625}, {"start": 1755.75, "end": 1756.47, "word": " cross.", "probability": 0.6337890625}, {"start": 1761.89, "end": 1762.11, "word": " Okay?", "probability": 0.5009765625}], "temperature": 1.0}, {"id": 62, "seek": 178157, "start": 1768.19, "end": 1781.57, "text": " Let's go to the other shapes of indifference for the indifference curves. We have two other shapes for indifference curves. The other shapes.", "tokens": [961, 311, 352, 281, 264, 661, 10854, 295, 1016, 351, 5158, 337, 264, 1016, 351, 5158, 19490, 13, 492, 362, 732, 661, 10854, 337, 1016, 351, 5158, 19490, 13, 440, 661, 10854, 13], "avg_logprob": -0.18072151217390509, "compression_ratio": 1.6511627906976745, "no_speech_prob": 0.0, "words": [{"start": 1768.19, "end": 1768.57, "word": " Let's", "probability": 0.87744140625}, {"start": 1768.57, "end": 1768.85, "word": " go", "probability": 0.9619140625}, {"start": 1768.85, "end": 1769.31, "word": " to", "probability": 0.9326171875}, {"start": 1769.31, "end": 1769.87, "word": " the", "probability": 0.87060546875}, {"start": 1769.87, "end": 1770.21, "word": " other", "probability": 0.89990234375}, {"start": 1770.21, "end": 1770.75, "word": " shapes", "probability": 0.9111328125}, {"start": 1770.75, "end": 1771.13, "word": " of", "probability": 0.5615234375}, {"start": 1771.13, "end": 1771.63, "word": " indifference", "probability": 0.8994140625}, {"start": 1771.63, "end": 1771.97, "word": " for", "probability": 0.673828125}, {"start": 1771.97, "end": 1772.15, "word": " the", "probability": 0.76513671875}, {"start": 1772.15, "end": 1772.53, "word": " indifference", "probability": 0.92822265625}, {"start": 1772.53, "end": 1772.83, "word": " curves.", "probability": 0.912109375}, {"start": 1774.21, "end": 1775.03, "word": " We", "probability": 0.96728515625}, {"start": 1775.03, "end": 1775.33, "word": " have", "probability": 0.9501953125}, {"start": 1775.33, "end": 1775.67, "word": " two", "probability": 0.9130859375}, {"start": 1775.67, "end": 1776.11, "word": " other", "probability": 0.90087890625}, {"start": 1776.11, "end": 1776.59, "word": " shapes", "probability": 0.90673828125}, {"start": 1776.59, "end": 1776.85, "word": " for", "probability": 0.857421875}, {"start": 1776.85, "end": 1777.35, "word": " indifference", "probability": 0.9153645833333334}, {"start": 1777.35, "end": 1777.81, "word": " curves.", "probability": 0.89111328125}, {"start": 1780.57, "end": 1780.77, "word": " The", "probability": 0.8974609375}, {"start": 1780.77, "end": 1781.03, "word": " other", "probability": 0.90234375}, {"start": 1781.03, "end": 1781.57, "word": " shapes.", "probability": 0.8837890625}], "temperature": 1.0}, {"id": 63, "seek": 182525, "start": 1816.83, "end": 1825.25, "text": " So let's go to the indifference curve shapes or different shapes for indifference curves.", "tokens": [407, 718, 311, 352, 281, 264, 1016, 351, 5158, 7605, 10854, 420, 819, 10854, 337, 1016, 351, 5158, 19490, 13], "avg_logprob": -0.1683407738095238, "compression_ratio": 1.3432835820895523, "no_speech_prob": 0.0, "words": [{"start": 1816.83, "end": 1817.75, "word": " So", "probability": 0.181884765625}, {"start": 1817.75, "end": 1818.67, "word": " let's", "probability": 0.833984375}, {"start": 1818.67, "end": 1818.87, "word": " go", "probability": 0.96435546875}, {"start": 1818.87, "end": 1819.07, "word": " to", "probability": 0.8779296875}, {"start": 1819.07, "end": 1819.71, "word": " the", "probability": 0.90283203125}, {"start": 1819.71, "end": 1820.23, "word": " indifference", "probability": 0.8800455729166666}, {"start": 1820.23, "end": 1820.63, "word": " curve", "probability": 0.8642578125}, {"start": 1820.63, "end": 1821.81, "word": " shapes", "probability": 0.9013671875}, {"start": 1821.81, "end": 1822.27, "word": " or", "probability": 0.56005859375}, {"start": 1822.27, "end": 1822.63, "word": " different", "probability": 0.82470703125}, {"start": 1822.63, "end": 1823.17, "word": " shapes", "probability": 0.90185546875}, {"start": 1823.17, "end": 1823.49, "word": " for", "probability": 0.86376953125}, {"start": 1823.49, "end": 1824.91, "word": " indifference", "probability": 0.8766276041666666}, {"start": 1824.91, "end": 1825.25, "word": " curves.", "probability": 0.888671875}], "temperature": 1.0}, {"id": 64, "seek": 184925, "start": 1833.07, "end": 1849.25, "text": " We have two other shapes for indifference curve. Number one, when the two products X and Y are perfectly substitutes.", "tokens": [492, 362, 732, 661, 10854, 337, 1016, 351, 5158, 7605, 13, 5118, 472, 11, 562, 264, 732, 3383, 1783, 293, 398, 366, 6239, 26441, 1819, 13], "avg_logprob": -0.28081597442980166, "compression_ratio": 1.18, "no_speech_prob": 0.0, "words": [{"start": 1833.07, "end": 1833.99, "word": " We", "probability": 0.052093505859375}, {"start": 1833.99, "end": 1834.91, "word": " have", "probability": 0.86376953125}, {"start": 1834.91, "end": 1835.11, "word": " two", "probability": 0.8701171875}, {"start": 1835.11, "end": 1835.49, "word": " other", "probability": 0.89599609375}, {"start": 1835.49, "end": 1835.91, "word": " shapes", "probability": 0.93310546875}, {"start": 1835.91, "end": 1836.13, "word": " for", "probability": 0.51025390625}, {"start": 1836.13, "end": 1836.59, "word": " indifference", "probability": 0.8435872395833334}, {"start": 1836.59, "end": 1836.95, "word": " curve.", "probability": 0.7685546875}, {"start": 1838.51, "end": 1838.87, "word": " Number", "probability": 0.83056640625}, {"start": 1838.87, "end": 1839.19, "word": " one,", "probability": 0.82275390625}, {"start": 1843.19, "end": 1843.45, "word": " when", "probability": 0.9013671875}, {"start": 1843.45, "end": 1843.67, "word": " the", "probability": 0.92041015625}, {"start": 1843.67, "end": 1843.93, "word": " two", "probability": 0.947265625}, {"start": 1843.93, "end": 1844.57, "word": " products", "probability": 0.9033203125}, {"start": 1844.57, "end": 1845.45, "word": " X", "probability": 0.4111328125}, {"start": 1845.45, "end": 1845.77, "word": " and", "probability": 0.943359375}, {"start": 1845.77, "end": 1846.31, "word": " Y", "probability": 0.99560546875}, {"start": 1846.31, "end": 1846.99, "word": " are", "probability": 0.92431640625}, {"start": 1846.99, "end": 1847.73, "word": " perfectly", "probability": 0.95068359375}, {"start": 1847.73, "end": 1849.25, "word": " substitutes.", "probability": 0.89599609375}], "temperature": 1.0}, {"id": 65, "seek": 188773, "start": 1868.63, "end": 1887.73, "text": " Perfectly substitute fish and meat. We want to get two products, X and Y, that have perfectly substitutes. Number one.", "tokens": [10246, 356, 15802, 3506, 293, 4615, 13, 492, 528, 281, 483, 732, 3383, 11, 1783, 293, 398, 11, 300, 362, 6239, 26441, 1819, 13, 5118, 472, 13], "avg_logprob": -0.40066963753529955, "compression_ratio": 1.2268041237113403, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1868.63, "end": 1869.63, "word": " Perfectly", "probability": 0.350494384765625}, {"start": 1869.63, "end": 1870.13, "word": " substitute", "probability": 0.68359375}, {"start": 1870.13, "end": 1871.49, "word": " fish", "probability": 0.6181640625}, {"start": 1871.49, "end": 1872.55, "word": " and", "probability": 0.93115234375}, {"start": 1872.55, "end": 1872.93, "word": " meat.", "probability": 0.943359375}, {"start": 1873.19, "end": 1873.39, "word": " We", "probability": 0.369384765625}, {"start": 1873.39, "end": 1875.19, "word": " want", "probability": 0.2315673828125}, {"start": 1875.19, "end": 1875.31, "word": " to", "probability": 0.9541015625}, {"start": 1875.31, "end": 1875.63, "word": " get", "probability": 0.53125}, {"start": 1875.63, "end": 1876.61, "word": " two", "probability": 0.8818359375}, {"start": 1876.61, "end": 1877.19, "word": " products,", "probability": 0.89111328125}, {"start": 1877.97, "end": 1878.47, "word": " X", "probability": 0.7568359375}, {"start": 1878.47, "end": 1878.91, "word": " and", "probability": 0.9375}, {"start": 1878.91, "end": 1879.37, "word": " Y,", "probability": 0.99365234375}, {"start": 1879.87, "end": 1880.09, "word": " that", "probability": 0.8896484375}, {"start": 1880.09, "end": 1880.29, "word": " have", "probability": 0.50146484375}, {"start": 1880.29, "end": 1881.07, "word": " perfectly", "probability": 0.74169921875}, {"start": 1881.07, "end": 1881.97, "word": " substitutes.", "probability": 0.797607421875}, {"start": 1885.07, "end": 1885.27, "word": " Number", "probability": 0.57275390625}, {"start": 1885.27, "end": 1887.73, "word": " one.", "probability": 0.83837890625}], "temperature": 1.0}, {"id": 66, "seek": 191146, "start": 1888.8, "end": 1911.46, "text": " I could IQYQX one two three four five two three", "tokens": [286, 727, 28921, 56, 48, 55, 472, 732, 1045, 1451, 1732, 732, 1045], "avg_logprob": -0.6166294642857143, "compression_ratio": 1.0212765957446808, "no_speech_prob": 0.0, "words": [{"start": 1888.8, "end": 1889.04, "word": " I", "probability": 0.43359375}, {"start": 1889.04, "end": 1889.18, "word": " could", "probability": 0.1688232421875}, {"start": 1889.18, "end": 1891.36, "word": " IQYQX", "probability": 0.6197509765625}, {"start": 1891.36, "end": 1900.9, "word": " one", "probability": 0.20751953125}, {"start": 1900.9, "end": 1901.96, "word": " two", "probability": 0.71484375}, {"start": 1901.96, "end": 1903.1, "word": " three", "probability": 0.92529296875}, {"start": 1903.1, "end": 1904.3, "word": " four", "probability": 0.8798828125}, {"start": 1904.3, "end": 1905.68, "word": " five", "probability": 0.57373046875}, {"start": 1905.68, "end": 1910.06, "word": " two", "probability": 0.4453125}, {"start": 1910.06, "end": 1911.46, "word": " three", "probability": 0.92529296875}], "temperature": 1.0}, {"id": 67, "seek": 195329, "start": 1935.29, "end": 1953.29, "text": " This is the IC. One, two, three, four. One, two, three, four. That's it. What do you see?", "tokens": [639, 307, 264, 14360, 13, 1485, 11, 732, 11, 1045, 11, 1451, 13, 1485, 11, 732, 11, 1045, 11, 1451, 13, 663, 311, 309, 13, 708, 360, 291, 536, 30], "avg_logprob": -0.18359374615453905, "compression_ratio": 1.3235294117647058, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1935.2900000000002, "end": 1935.8500000000001, "word": " This", "probability": 0.1842041015625}, {"start": 1935.8500000000001, "end": 1936.41, "word": " is", "probability": 0.93798828125}, {"start": 1936.41, "end": 1936.57, "word": " the", "probability": 0.83740234375}, {"start": 1936.57, "end": 1937.01, "word": " IC.", "probability": 0.46923828125}, {"start": 1941.21, "end": 1941.77, "word": " One,", "probability": 0.1417236328125}, {"start": 1945.77, "end": 1947.77, "word": " two,", "probability": 0.94189453125}, {"start": 1948.09, "end": 1948.53, "word": " three,", "probability": 0.9453125}, {"start": 1948.85, "end": 1949.41, "word": " four.", "probability": 0.94677734375}, {"start": 1949.97, "end": 1950.25, "word": " One,", "probability": 0.876953125}, {"start": 1950.35, "end": 1950.43, "word": " two,", "probability": 0.9365234375}, {"start": 1950.53, "end": 1950.69, "word": " three,", "probability": 0.94384765625}, {"start": 1950.79, "end": 1950.99, "word": " four.", "probability": 0.9443359375}, {"start": 1951.25, "end": 1951.57, "word": " That's", "probability": 0.939208984375}, {"start": 1951.57, "end": 1951.75, "word": " it.", "probability": 0.955078125}, {"start": 1952.67, "end": 1952.89, "word": " What", "probability": 0.84765625}, {"start": 1952.89, "end": 1953.01, "word": " do", "probability": 0.8486328125}, {"start": 1953.01, "end": 1953.09, "word": " you", "probability": 0.76708984375}, {"start": 1953.09, "end": 1953.29, "word": " see?", "probability": 0.8603515625}], "temperature": 1.0}, {"id": 68, "seek": 198594, "start": 1956.64, "end": 1985.94, "text": " When we add one unit of X, we give up how many units? One unit of Y. Adding one more unit, decreasing. Which means the marginal rate of substitution in this case equals how much? Marginal rate of substitution in all cases will be how much? No.", "tokens": [1133, 321, 909, 472, 4985, 295, 1783, 11, 321, 976, 493, 577, 867, 6815, 30, 1485, 4985, 295, 398, 13, 31204, 472, 544, 4985, 11, 23223, 13, 3013, 1355, 264, 16885, 3314, 295, 35827, 294, 341, 1389, 6915, 577, 709, 30, 2039, 1494, 304, 3314, 295, 35827, 294, 439, 3331, 486, 312, 577, 709, 30, 883, 13], "avg_logprob": -0.14668641933079424, "compression_ratio": 1.6158940397350994, "no_speech_prob": 0.0, "words": [{"start": 1956.64, "end": 1956.96, "word": " When", "probability": 0.76220703125}, {"start": 1956.96, "end": 1957.2, "word": " we", "probability": 0.9609375}, {"start": 1957.2, "end": 1957.74, "word": " add", "probability": 0.90966796875}, {"start": 1957.74, "end": 1959.22, "word": " one", "probability": 0.8486328125}, {"start": 1959.22, "end": 1959.7, "word": " unit", "probability": 0.9599609375}, {"start": 1959.7, "end": 1960.84, "word": " of", "probability": 0.9638671875}, {"start": 1960.84, "end": 1961.26, "word": " X,", "probability": 0.51318359375}, {"start": 1962.54, "end": 1962.98, "word": " we", "probability": 0.95361328125}, {"start": 1962.98, "end": 1963.38, "word": " give", "probability": 0.87939453125}, {"start": 1963.38, "end": 1963.78, "word": " up", "probability": 0.96533203125}, {"start": 1963.78, "end": 1964.26, "word": " how", "probability": 0.88525390625}, {"start": 1964.26, "end": 1964.46, "word": " many", "probability": 0.89990234375}, {"start": 1964.46, "end": 1964.84, "word": " units?", "probability": 0.9326171875}, {"start": 1965.22, "end": 1965.4, "word": " One", "probability": 0.87353515625}, {"start": 1965.4, "end": 1965.62, "word": " unit", "probability": 0.95556640625}, {"start": 1965.62, "end": 1965.82, "word": " of", "probability": 0.9140625}, {"start": 1965.82, "end": 1966.1, "word": " Y.", "probability": 0.978515625}, {"start": 1966.66, "end": 1966.98, "word": " Adding", "probability": 0.76611328125}, {"start": 1966.98, "end": 1967.18, "word": " one", "probability": 0.8935546875}, {"start": 1967.18, "end": 1967.38, "word": " more", "probability": 0.86669921875}, {"start": 1967.38, "end": 1967.74, "word": " unit,", "probability": 0.962890625}, {"start": 1968.56, "end": 1968.96, "word": " decreasing.", "probability": 0.912109375}, {"start": 1972.7, "end": 1973.46, "word": " Which", "probability": 0.87744140625}, {"start": 1973.46, "end": 1973.92, "word": " means", "probability": 0.9375}, {"start": 1973.92, "end": 1974.94, "word": " the", "probability": 0.73876953125}, {"start": 1974.94, "end": 1975.38, "word": " marginal", "probability": 0.89208984375}, {"start": 1975.38, "end": 1975.76, "word": " rate", "probability": 0.94873046875}, {"start": 1975.76, "end": 1975.92, "word": " of", "probability": 0.96923828125}, {"start": 1975.92, "end": 1976.5, "word": " substitution", "probability": 0.9306640625}, {"start": 1976.5, "end": 1976.78, "word": " in", "probability": 0.7138671875}, {"start": 1976.78, "end": 1976.94, "word": " this", "probability": 0.9482421875}, {"start": 1976.94, "end": 1977.2, "word": " case", "probability": 0.91943359375}, {"start": 1977.2, "end": 1977.64, "word": " equals", "probability": 0.8583984375}, {"start": 1977.64, "end": 1977.84, "word": " how", "probability": 0.93798828125}, {"start": 1977.84, "end": 1978.22, "word": " much?", "probability": 0.9130859375}, {"start": 1980.62, "end": 1981.38, "word": " Marginal", "probability": 0.8611653645833334}, {"start": 1981.38, "end": 1981.58, "word": " rate", "probability": 0.927734375}, {"start": 1981.58, "end": 1981.74, "word": " of", "probability": 0.8857421875}, {"start": 1981.74, "end": 1982.08, "word": " substitution", "probability": 0.93408203125}, {"start": 1982.08, "end": 1982.82, "word": " in", "probability": 0.432861328125}, {"start": 1982.82, "end": 1983.08, "word": " all", "probability": 0.95068359375}, {"start": 1983.08, "end": 1983.74, "word": " cases", "probability": 0.923828125}, {"start": 1983.74, "end": 1984.28, "word": " will", "probability": 0.77978515625}, {"start": 1984.28, "end": 1984.42, "word": " be", "probability": 0.95263671875}, {"start": 1984.42, "end": 1984.6, "word": " how", "probability": 0.9345703125}, {"start": 1984.6, "end": 1984.86, "word": " much?", "probability": 0.9130859375}, {"start": 1985.54, "end": 1985.94, "word": " No.", "probability": 0.8515625}], "temperature": 1.0}, {"id": 69, "seek": 202543, "start": 1997.19, "end": 2025.43, "text": " In this example here, we are talking about a perfect substitution between product X and Y. So here,", "tokens": [682, 341, 1365, 510, 11, 321, 366, 1417, 466, 257, 2176, 35827, 1296, 1674, 1783, 293, 398, 13, 407, 510, 11], "avg_logprob": -0.15864701636812903, "compression_ratio": 1.1111111111111112, "no_speech_prob": 0.0, "words": [{"start": 1997.19, "end": 1997.39, "word": " In", "probability": 0.415771484375}, {"start": 1997.39, "end": 1997.57, "word": " this", "probability": 0.94921875}, {"start": 1997.57, "end": 1997.95, "word": " example", "probability": 0.8984375}, {"start": 1997.95, "end": 1998.37, "word": " here,", "probability": 0.82763671875}, {"start": 1999.07, "end": 1999.75, "word": " we", "probability": 0.96435546875}, {"start": 1999.75, "end": 1999.89, "word": " are", "probability": 0.88818359375}, {"start": 1999.89, "end": 2000.25, "word": " talking", "probability": 0.84716796875}, {"start": 2000.25, "end": 2000.79, "word": " about", "probability": 0.91064453125}, {"start": 2000.79, "end": 2001.09, "word": " a", "probability": 0.76708984375}, {"start": 2001.09, "end": 2001.57, "word": " perfect", "probability": 0.92919921875}, {"start": 2001.57, "end": 2008.35, "word": " substitution", "probability": 0.8515625}, {"start": 2008.35, "end": 2012.13, "word": " between", "probability": 0.86669921875}, {"start": 2012.13, "end": 2015.33, "word": " product", "probability": 0.83642578125}, {"start": 2015.33, "end": 2015.73, "word": " X", "probability": 0.6513671875}, {"start": 2015.73, "end": 2018.61, "word": " and", "probability": 0.9453125}, {"start": 2018.61, "end": 2018.95, "word": " Y.", "probability": 0.9912109375}, {"start": 2024.37, "end": 2025.09, "word": " So", "probability": 0.96142578125}, {"start": 2025.09, "end": 2025.43, "word": " here,", "probability": 0.81005859375}], "temperature": 1.0}, {"id": 70, "seek": 205387, "start": 2027.91, "end": 2053.87, "text": " Group A, B, C, and D. Quantum X, quantum Y, quantum X 1, 2, 3, 4, 4, 3, 2, 1. The marginal rate of substitution here is fixed. Who was straight line?", "tokens": [10500, 316, 11, 363, 11, 383, 11, 293, 413, 13, 44964, 1783, 11, 13018, 398, 11, 13018, 1783, 502, 11, 568, 11, 805, 11, 1017, 11, 1017, 11, 805, 11, 568, 11, 502, 13, 440, 16885, 3314, 295, 35827, 510, 307, 6806, 13, 2102, 390, 2997, 1622, 30], "avg_logprob": -0.19977678084860043, "compression_ratio": 1.2396694214876034, "no_speech_prob": 0.0, "words": [{"start": 2027.9099999999999, "end": 2028.59, "word": " Group", "probability": 0.4326171875}, {"start": 2028.59, "end": 2029.27, "word": " A,", "probability": 0.6142578125}, {"start": 2029.47, "end": 2029.67, "word": " B,", "probability": 0.91064453125}, {"start": 2030.17, "end": 2031.45, "word": " C,", "probability": 0.98974609375}, {"start": 2031.63, "end": 2031.81, "word": " and", "probability": 0.935546875}, {"start": 2031.81, "end": 2032.11, "word": " D.", "probability": 0.9951171875}, {"start": 2034.97, "end": 2035.49, "word": " Quantum", "probability": 0.38916015625}, {"start": 2035.49, "end": 2035.93, "word": " X,", "probability": 0.82373046875}, {"start": 2036.59, "end": 2036.89, "word": " quantum", "probability": 0.49609375}, {"start": 2036.89, "end": 2037.25, "word": " Y,", "probability": 0.98388671875}, {"start": 2037.99, "end": 2038.19, "word": " quantum", "probability": 0.7431640625}, {"start": 2038.19, "end": 2038.53, "word": " X", "probability": 0.970703125}, {"start": 2038.53, "end": 2038.81, "word": " 1,", "probability": 0.373779296875}, {"start": 2038.89, "end": 2038.99, "word": " 2,", "probability": 0.91943359375}, {"start": 2039.09, "end": 2039.29, "word": " 3,", "probability": 0.990234375}, {"start": 2039.41, "end": 2039.71, "word": " 4,", "probability": 0.99365234375}, {"start": 2040.09, "end": 2041.73, "word": " 4,", "probability": 0.90625}, {"start": 2042.11, "end": 2042.87, "word": " 3,", "probability": 0.99169921875}, {"start": 2043.09, "end": 2043.25, "word": " 2,", "probability": 0.9755859375}, {"start": 2043.35, "end": 2043.59, "word": " 1.", "probability": 0.98974609375}, {"start": 2044.93, "end": 2045.33, "word": " The", "probability": 0.8994140625}, {"start": 2045.33, "end": 2045.67, "word": " marginal", "probability": 0.873046875}, {"start": 2045.67, "end": 2045.99, "word": " rate", "probability": 0.93994140625}, {"start": 2045.99, "end": 2046.13, "word": " of", "probability": 0.9453125}, {"start": 2046.13, "end": 2046.55, "word": " substitution", "probability": 0.94677734375}, {"start": 2046.55, "end": 2047.05, "word": " here", "probability": 0.85595703125}, {"start": 2047.05, "end": 2047.37, "word": " is", "probability": 0.93896484375}, {"start": 2047.37, "end": 2047.89, "word": " fixed.", "probability": 0.92822265625}, {"start": 2052.21, "end": 2052.89, "word": " Who", "probability": 0.1541748046875}, {"start": 2052.89, "end": 2053.13, "word": " was", "probability": 0.67041015625}, {"start": 2053.13, "end": 2053.49, "word": " straight", "probability": 0.8818359375}, {"start": 2053.49, "end": 2053.87, "word": " line?", "probability": 0.93310546875}], "temperature": 1.0}, {"id": 71, "seek": 207733, "start": 2057.93, "end": 2077.33, "text": " One of the indifference curve shapes or the shapes of indifference curve might be a straight line. If the indifference curve was a straight line and unilateral elastic.", "tokens": [1485, 295, 264, 1016, 351, 5158, 7605, 10854, 420, 264, 10854, 295, 1016, 351, 5158, 7605, 1062, 312, 257, 2997, 1622, 13, 759, 264, 1016, 351, 5158, 7605, 390, 257, 2997, 1622, 293, 517, 37751, 17115, 13], "avg_logprob": -0.25637334663616984, "compression_ratio": 1.707070707070707, "no_speech_prob": 0.0, "words": [{"start": 2057.93, "end": 2058.85, "word": " One", "probability": 0.091552734375}, {"start": 2058.85, "end": 2059.29, "word": " of", "probability": 0.96923828125}, {"start": 2059.29, "end": 2059.69, "word": " the", "probability": 0.90576171875}, {"start": 2059.69, "end": 2060.49, "word": " indifference", "probability": 0.8942057291666666}, {"start": 2060.49, "end": 2060.81, "word": " curve", "probability": 0.480712890625}, {"start": 2060.81, "end": 2061.21, "word": " shapes", "probability": 0.88720703125}, {"start": 2061.21, "end": 2061.37, "word": " or", "probability": 0.47509765625}, {"start": 2061.37, "end": 2061.53, "word": " the", "probability": 0.8681640625}, {"start": 2061.53, "end": 2061.85, "word": " shapes", "probability": 0.90576171875}, {"start": 2061.85, "end": 2062.03, "word": " of", "probability": 0.83642578125}, {"start": 2062.03, "end": 2062.43, "word": " indifference", "probability": 0.9226888020833334}, {"start": 2062.43, "end": 2062.85, "word": " curve", "probability": 0.93603515625}, {"start": 2062.85, "end": 2064.21, "word": " might", "probability": 0.849609375}, {"start": 2064.21, "end": 2065.03, "word": " be", "probability": 0.95263671875}, {"start": 2065.03, "end": 2066.45, "word": " a", "probability": 0.9560546875}, {"start": 2066.45, "end": 2066.89, "word": " straight", "probability": 0.92138671875}, {"start": 2066.89, "end": 2067.37, "word": " line.", "probability": 0.95361328125}, {"start": 2068.91, "end": 2069.83, "word": " If", "probability": 0.9599609375}, {"start": 2069.83, "end": 2070.49, "word": " the", "probability": 0.87841796875}, {"start": 2070.49, "end": 2071.03, "word": " indifference", "probability": 0.9391276041666666}, {"start": 2071.03, "end": 2071.47, "word": " curve", "probability": 0.9501953125}, {"start": 2071.47, "end": 2072.63, "word": " was", "probability": 0.95361328125}, {"start": 2072.63, "end": 2073.03, "word": " a", "probability": 0.99658203125}, {"start": 2073.03, "end": 2073.49, "word": " straight", "probability": 0.91357421875}, {"start": 2073.49, "end": 2074.75, "word": " line", "probability": 0.94287109375}, {"start": 2074.75, "end": 2076.15, "word": " and", "probability": 0.60888671875}, {"start": 2076.15, "end": 2076.59, "word": " unilateral", "probability": 0.3524169921875}, {"start": 2076.59, "end": 2077.33, "word": " elastic.", "probability": 0.94580078125}], "temperature": 1.0}, {"id": 72, "seek": 211013, "start": 2083.57, "end": 2110.13, "text": "The giving up is fixed and equals one. Okay? So MRS here, how much is it? Three minus four over two minus one. Minus one with the absolute value one. Correct? We are talking about the absolute values. One, one, one, one. Okay? What about B2?", "tokens": [2278, 2902, 493, 307, 6806, 293, 6915, 472, 13, 1033, 30, 407, 9808, 50, 510, 11, 577, 709, 307, 309, 30, 6244, 3175, 1451, 670, 732, 3175, 472, 13, 2829, 301, 472, 365, 264, 8236, 2158, 472, 13, 12753, 30, 492, 366, 1417, 466, 264, 8236, 4190, 13, 1485, 11, 472, 11, 472, 11, 472, 13, 1033, 30, 708, 466, 363, 17, 30], "avg_logprob": -0.3266601422801614, "compression_ratio": 1.4968944099378882, "no_speech_prob": 0.0, "words": [{"start": 2083.57, "end": 2083.87, "word": "The", "probability": 0.120849609375}, {"start": 2083.87, "end": 2084.21, "word": " giving", "probability": 0.8134765625}, {"start": 2084.21, "end": 2084.67, "word": " up", "probability": 0.951171875}, {"start": 2084.67, "end": 2085.17, "word": " is", "probability": 0.313720703125}, {"start": 2085.17, "end": 2085.45, "word": " fixed", "probability": 0.8837890625}, {"start": 2085.45, "end": 2086.53, "word": " and", "probability": 0.439697265625}, {"start": 2086.53, "end": 2087.15, "word": " equals", "probability": 0.76171875}, {"start": 2087.15, "end": 2087.51, "word": " one.", "probability": 0.441162109375}, {"start": 2089.03, "end": 2089.35, "word": " Okay?", "probability": 0.1337890625}, {"start": 2090.77, "end": 2091.13, "word": " So", "probability": 0.88623046875}, {"start": 2091.13, "end": 2092.39, "word": " MRS", "probability": 0.61474609375}, {"start": 2092.39, "end": 2092.67, "word": " here,", "probability": 0.806640625}, {"start": 2093.83, "end": 2094.05, "word": " how", "probability": 0.85205078125}, {"start": 2094.05, "end": 2094.25, "word": " much", "probability": 0.91796875}, {"start": 2094.25, "end": 2094.43, "word": " is", "probability": 0.94775390625}, {"start": 2094.43, "end": 2094.69, "word": " it?", "probability": 0.94921875}, {"start": 2094.87, "end": 2095.11, "word": " Three", "probability": 0.68994140625}, {"start": 2095.11, "end": 2095.45, "word": " minus", "probability": 0.9794921875}, {"start": 2095.45, "end": 2095.83, "word": " four", "probability": 0.92724609375}, {"start": 2095.83, "end": 2096.09, "word": " over", "probability": 0.896484375}, {"start": 2096.09, "end": 2096.37, "word": " two", "probability": 0.9404296875}, {"start": 2096.37, "end": 2096.65, "word": " minus", "probability": 0.98486328125}, {"start": 2096.65, "end": 2097.07, "word": " one.", "probability": 0.93212890625}, {"start": 2097.95, "end": 2098.63, "word": " Minus", "probability": 0.9287109375}, {"start": 2098.63, "end": 2098.81, "word": " one", "probability": 0.93017578125}, {"start": 2098.81, "end": 2098.93, "word": " with", "probability": 0.375244140625}, {"start": 2098.93, "end": 2098.97, "word": " the", "probability": 0.469482421875}, {"start": 2098.97, "end": 2099.25, "word": " absolute", "probability": 0.89697265625}, {"start": 2099.25, "end": 2099.69, "word": " value", "probability": 0.9775390625}, {"start": 2099.69, "end": 2100.01, "word": " one.", "probability": 0.759765625}, {"start": 2100.47, "end": 2100.77, "word": " Correct?", "probability": 0.458251953125}, {"start": 2100.95, "end": 2101.13, "word": " We", "probability": 0.7607421875}, {"start": 2101.13, "end": 2101.13, "word": " are", "probability": 0.50390625}, {"start": 2101.13, "end": 2101.37, "word": " talking", "probability": 0.6689453125}, {"start": 2101.37, "end": 2101.77, "word": " about", "probability": 0.8828125}, {"start": 2101.77, "end": 2102.47, "word": " the", "probability": 0.80908203125}, {"start": 2102.47, "end": 2103.19, "word": " absolute", "probability": 0.90185546875}, {"start": 2103.19, "end": 2104.17, "word": " values.", "probability": 0.92578125}, {"start": 2104.55, "end": 2104.81, "word": " One,", "probability": 0.85009765625}, {"start": 2105.07, "end": 2105.57, "word": " one,", "probability": 0.92431640625}, {"start": 2105.73, "end": 2106.07, "word": " one,", "probability": 0.93994140625}, {"start": 2106.25, "end": 2106.71, "word": " one.", "probability": 0.935546875}, {"start": 2107.73, "end": 2108.13, "word": " Okay?", "probability": 0.72412109375}, {"start": 2109.21, "end": 2109.63, "word": " What", "probability": 0.34375}, {"start": 2109.63, "end": 2109.75, "word": " about", "probability": 0.74609375}, {"start": 2109.75, "end": 2110.13, "word": " B2?", "probability": 0.917236328125}], "temperature": 1.0}, {"id": 73, "seek": 213934, "start": 2112.04, "end": 2139.34, "text": " Depends. Adding one more unit, giving up. So, if the two products are perfectly substitutes in this case, then the difference curve will be a straight line and the marginal rate of substitution will be fixed.", "tokens": [4056, 2581, 13, 31204, 472, 544, 4985, 11, 2902, 493, 13, 407, 11, 498, 264, 732, 3383, 366, 6239, 26441, 1819, 294, 341, 1389, 11, 550, 264, 2649, 7605, 486, 312, 257, 2997, 1622, 293, 264, 16885, 3314, 295, 35827, 486, 312, 6806, 13], "avg_logprob": -0.29149306350284154, "compression_ratio": 1.412162162162162, "no_speech_prob": 0.0, "words": [{"start": 2112.0400000000004, "end": 2112.78, "word": " Depends.", "probability": 0.75439453125}, {"start": 2113.84, "end": 2114.58, "word": " Adding", "probability": 0.173583984375}, {"start": 2114.58, "end": 2118.52, "word": " one", "probability": 0.89794921875}, {"start": 2118.52, "end": 2118.74, "word": " more", "probability": 0.92333984375}, {"start": 2118.74, "end": 2118.98, "word": " unit,", "probability": 0.81298828125}, {"start": 2119.24, "end": 2119.44, "word": " giving", "probability": 0.7177734375}, {"start": 2119.44, "end": 2119.82, "word": " up.", "probability": 0.96240234375}, {"start": 2123.36, "end": 2124.1, "word": " So,", "probability": 0.60986328125}, {"start": 2126.12, "end": 2127.88, "word": " if", "probability": 0.7587890625}, {"start": 2127.88, "end": 2128.16, "word": " the", "probability": 0.8662109375}, {"start": 2128.16, "end": 2128.36, "word": " two", "probability": 0.94091796875}, {"start": 2128.36, "end": 2128.74, "word": " products", "probability": 0.888671875}, {"start": 2128.74, "end": 2129.02, "word": " are", "probability": 0.93359375}, {"start": 2129.02, "end": 2129.48, "word": " perfectly", "probability": 0.94970703125}, {"start": 2129.48, "end": 2130.36, "word": " substitutes", "probability": 0.8740234375}, {"start": 2130.36, "end": 2130.56, "word": " in", "probability": 0.4853515625}, {"start": 2130.56, "end": 2130.8, "word": " this", "probability": 0.9501953125}, {"start": 2130.8, "end": 2131.22, "word": " case,", "probability": 0.908203125}, {"start": 2131.58, "end": 2131.7, "word": " then", "probability": 0.802734375}, {"start": 2131.7, "end": 2131.86, "word": " the", "probability": 0.50439453125}, {"start": 2131.86, "end": 2132.1, "word": " difference", "probability": 0.71728515625}, {"start": 2132.1, "end": 2132.3, "word": " curve", "probability": 0.281982421875}, {"start": 2132.3, "end": 2132.52, "word": " will", "probability": 0.67138671875}, {"start": 2132.52, "end": 2132.82, "word": " be", "probability": 0.94970703125}, {"start": 2132.82, "end": 2133.14, "word": " a", "probability": 0.9873046875}, {"start": 2133.14, "end": 2133.52, "word": " straight", "probability": 0.92626953125}, {"start": 2133.52, "end": 2134.06, "word": " line", "probability": 0.94189453125}, {"start": 2134.06, "end": 2134.86, "word": " and", "probability": 0.63818359375}, {"start": 2134.86, "end": 2135.32, "word": " the", "probability": 0.90869140625}, {"start": 2135.32, "end": 2135.68, "word": " marginal", "probability": 0.78515625}, {"start": 2135.68, "end": 2136.04, "word": " rate", "probability": 0.89013671875}, {"start": 2136.04, "end": 2136.18, "word": " of", "probability": 0.65185546875}, {"start": 2136.18, "end": 2136.7, "word": " substitution", "probability": 0.94970703125}, {"start": 2136.7, "end": 2137.08, "word": " will", "probability": 0.8671875}, {"start": 2137.08, "end": 2137.84, "word": " be", "probability": 0.95361328125}, {"start": 2137.84, "end": 2139.34, "word": " fixed.", "probability": 0.92431640625}], "temperature": 1.0}, {"id": 74, "seek": 215657, "start": 2140.61, "end": 2156.57, "text": " It's not decreasing here. Because the marginal rate of substitution is the slope of this line, which is fixed at different points.", "tokens": [467, 311, 406, 23223, 510, 13, 1436, 264, 16885, 3314, 295, 35827, 307, 264, 13525, 295, 341, 1622, 11, 597, 307, 6806, 412, 819, 2793, 13], "avg_logprob": -0.22887731260723537, "compression_ratio": 1.2242990654205608, "no_speech_prob": 0.0, "words": [{"start": 2140.61, "end": 2140.83, "word": " It's", "probability": 0.868896484375}, {"start": 2140.83, "end": 2141.01, "word": " not", "probability": 0.9404296875}, {"start": 2141.01, "end": 2141.57, "word": " decreasing", "probability": 0.9482421875}, {"start": 2141.57, "end": 2142.03, "word": " here.", "probability": 0.84716796875}, {"start": 2143.81, "end": 2144.77, "word": " Because", "probability": 0.305419921875}, {"start": 2144.77, "end": 2148.17, "word": " the", "probability": 0.84326171875}, {"start": 2148.17, "end": 2148.57, "word": " marginal", "probability": 0.8681640625}, {"start": 2148.57, "end": 2148.87, "word": " rate", "probability": 0.96728515625}, {"start": 2148.87, "end": 2148.99, "word": " of", "probability": 0.94873046875}, {"start": 2148.99, "end": 2149.41, "word": " substitution", "probability": 0.9443359375}, {"start": 2149.41, "end": 2149.89, "word": " is", "probability": 0.947265625}, {"start": 2149.89, "end": 2150.43, "word": " the", "probability": 0.8251953125}, {"start": 2150.43, "end": 2151.05, "word": " slope", "probability": 0.90283203125}, {"start": 2151.05, "end": 2151.57, "word": " of", "probability": 0.9677734375}, {"start": 2151.57, "end": 2151.77, "word": " this", "probability": 0.9072265625}, {"start": 2151.77, "end": 2152.13, "word": " line,", "probability": 0.9384765625}, {"start": 2152.59, "end": 2153.55, "word": " which", "probability": 0.94775390625}, {"start": 2153.55, "end": 2153.81, "word": " is", "probability": 0.947265625}, {"start": 2153.81, "end": 2154.21, "word": " fixed", "probability": 0.94140625}, {"start": 2154.21, "end": 2155.11, "word": " at", "probability": 0.96728515625}, {"start": 2155.11, "end": 2155.75, "word": " different", "probability": 0.8837890625}, {"start": 2155.75, "end": 2156.57, "word": " points.", "probability": 0.92138671875}], "temperature": 1.0}, {"id": 75, "seek": 218507, "start": 2178.65, "end": 2185.07, "text": " But in this case, the marginal rate of substitution will be fixed at different points.", "tokens": [583, 294, 341, 1389, 11, 264, 16885, 3314, 295, 35827, 486, 312, 6806, 412, 819, 2793, 13], "avg_logprob": -0.2246093816227383, "compression_ratio": 1.1012658227848102, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 2178.6499999999996, "end": 2179.41, "word": " But", "probability": 0.1922607421875}, {"start": 2179.41, "end": 2180.17, "word": " in", "probability": 0.775390625}, {"start": 2180.17, "end": 2180.51, "word": " this", "probability": 0.9560546875}, {"start": 2180.51, "end": 2180.97, "word": " case,", "probability": 0.9248046875}, {"start": 2181.27, "end": 2181.37, "word": " the", "probability": 0.908203125}, {"start": 2181.37, "end": 2181.75, "word": " marginal", "probability": 0.55224609375}, {"start": 2181.75, "end": 2182.13, "word": " rate", "probability": 0.94775390625}, {"start": 2182.13, "end": 2182.29, "word": " of", "probability": 0.91796875}, {"start": 2182.29, "end": 2182.67, "word": " substitution", "probability": 0.94140625}, {"start": 2182.67, "end": 2183.03, "word": " will", "probability": 0.86767578125}, {"start": 2183.03, "end": 2183.29, "word": " be", "probability": 0.95166015625}, {"start": 2183.29, "end": 2183.81, "word": " fixed", "probability": 0.9423828125}, {"start": 2183.81, "end": 2184.31, "word": " at", "probability": 0.9609375}, {"start": 2184.31, "end": 2184.61, "word": " different", "probability": 0.875}, {"start": 2184.61, "end": 2185.07, "word": " points.", "probability": 0.92822265625}], "temperature": 1.0}, {"id": 76, "seek": 222411, "start": 2202.61, "end": 2224.11, "text": " Yes, here. Keep it like this. But straight line. This is IC. This is IC. Keep this 6 and this 2. IC.", "tokens": [1079, 11, 510, 13, 5527, 309, 411, 341, 13, 583, 2997, 1622, 13, 639, 307, 14360, 13, 639, 307, 14360, 13, 5527, 341, 1386, 293, 341, 568, 13, 14360, 13], "avg_logprob": -0.4576612864771197, "compression_ratio": 1.2784810126582278, "no_speech_prob": 0.0, "words": [{"start": 2202.61, "end": 2202.93, "word": " Yes,", "probability": 0.17578125}, {"start": 2203.07, "end": 2203.27, "word": " here.", "probability": 0.265380859375}, {"start": 2207.45, "end": 2208.09, "word": " Keep", "probability": 0.27294921875}, {"start": 2208.09, "end": 2208.19, "word": " it", "probability": 0.85595703125}, {"start": 2208.19, "end": 2208.37, "word": " like", "probability": 0.59326171875}, {"start": 2208.37, "end": 2208.45, "word": " this.", "probability": 0.68212890625}, {"start": 2209.95, "end": 2210.15, "word": " But", "probability": 0.356689453125}, {"start": 2210.15, "end": 2210.53, "word": " straight", "probability": 0.3837890625}, {"start": 2210.53, "end": 2210.91, "word": " line.", "probability": 0.88916015625}, {"start": 2215.19, "end": 2215.83, "word": " This", "probability": 0.72705078125}, {"start": 2215.83, "end": 2215.87, "word": " is", "probability": 0.86865234375}, {"start": 2215.87, "end": 2216.21, "word": " IC.", "probability": 0.76318359375}, {"start": 2218.91, "end": 2219.55, "word": " This", "probability": 0.80859375}, {"start": 2219.55, "end": 2219.59, "word": " is", "probability": 0.91455078125}, {"start": 2219.59, "end": 2219.99, "word": " IC.", "probability": 0.9560546875}, {"start": 2220.73, "end": 2220.91, "word": " Keep", "probability": 0.4326171875}, {"start": 2220.91, "end": 2221.13, "word": " this", "probability": 0.64794921875}, {"start": 2221.13, "end": 2221.45, "word": " 6", "probability": 0.34375}, {"start": 2221.45, "end": 2221.61, "word": " and", "probability": 0.857421875}, {"start": 2221.61, "end": 2221.73, "word": " this", "probability": 0.8681640625}, {"start": 2221.73, "end": 2221.95, "word": " 2.", "probability": 0.7373046875}, {"start": 2223.47, "end": 2224.11, "word": " IC.", "probability": 0.86962890625}], "temperature": 1.0}, {"id": 77, "seek": 224894, "start": 2225.51, "end": 2248.95, "text": " But larger slope than the previous one. How much is the slope here? And at this point? Linear.", "tokens": [583, 4833, 13525, 813, 264, 3894, 472, 13, 1012, 709, 307, 264, 13525, 510, 30, 400, 412, 341, 935, 30, 14670, 289, 13], "avg_logprob": -0.310384102165699, "compression_ratio": 1.1046511627906976, "no_speech_prob": 0.0, "words": [{"start": 2225.51, "end": 2225.75, "word": " But", "probability": 0.363037109375}, {"start": 2225.75, "end": 2226.03, "word": " larger", "probability": 0.853515625}, {"start": 2226.03, "end": 2226.47, "word": " slope", "probability": 0.923828125}, {"start": 2226.47, "end": 2226.73, "word": " than", "probability": 0.89501953125}, {"start": 2226.73, "end": 2227.07, "word": " the", "probability": 0.9150390625}, {"start": 2227.07, "end": 2227.89, "word": " previous", "probability": 0.7890625}, {"start": 2227.89, "end": 2228.23, "word": " one.", "probability": 0.9306640625}, {"start": 2228.89, "end": 2229.07, "word": " How", "probability": 0.48779296875}, {"start": 2229.07, "end": 2229.91, "word": " much", "probability": 0.912109375}, {"start": 2229.91, "end": 2230.07, "word": " is", "probability": 0.9423828125}, {"start": 2230.07, "end": 2230.29, "word": " the", "probability": 0.884765625}, {"start": 2230.29, "end": 2230.63, "word": " slope", "probability": 0.9189453125}, {"start": 2230.63, "end": 2231.07, "word": " here?", "probability": 0.83740234375}, {"start": 2234.07, "end": 2234.95, "word": " And", "probability": 0.09442138671875}, {"start": 2234.95, "end": 2235.79, "word": " at", "probability": 0.83544921875}, {"start": 2235.79, "end": 2245.27, "word": " this", "probability": 0.9521484375}, {"start": 2245.27, "end": 2245.55, "word": " point?", "probability": 0.96923828125}, {"start": 2248.07, "end": 2248.95, "word": " Linear.", "probability": 0.94482421875}], "temperature": 1.0}, {"id": 78, "seek": 227500, "start": 2254.12, "end": 2275.0, "text": " Perfectly substitution. Margin rate of substitution equals one. Fixed constant.", "tokens": [10246, 356, 35827, 13, 2039, 1494, 3314, 295, 35827, 6915, 472, 13, 25538, 292, 5754, 13], "avg_logprob": -0.4954044117647059, "compression_ratio": 1.0810810810810811, "no_speech_prob": 0.0, "words": [{"start": 2254.12, "end": 2255.16, "word": " Perfectly", "probability": 0.4559478759765625}, {"start": 2255.16, "end": 2255.8, "word": " substitution.", "probability": 0.68212890625}, {"start": 2268.86, "end": 2269.9, "word": " Margin", "probability": 0.6773681640625}, {"start": 2269.9, "end": 2270.12, "word": " rate", "probability": 0.2320556640625}, {"start": 2270.12, "end": 2270.24, "word": " of", "probability": 0.90478515625}, {"start": 2270.24, "end": 2270.72, "word": " substitution", "probability": 0.94384765625}, {"start": 2270.72, "end": 2271.1, "word": " equals", "probability": 0.9130859375}, {"start": 2271.1, "end": 2271.82, "word": " one.", "probability": 0.515625}, {"start": 2273.24, "end": 2274.28, "word": " Fixed", "probability": 0.767822265625}, {"start": 2274.28, "end": 2275.0, "word": " constant.", "probability": 0.83740234375}], "temperature": 1.0}, {"id": 79, "seek": 230959, "start": 2283.03, "end": 2309.59, "text": " Okay. Let's go to another shape for the indifference curve. Indifference curve might be like this. Quad X, Quad Y. Indifference curve. I see.", "tokens": [1033, 13, 961, 311, 352, 281, 1071, 3909, 337, 264, 1016, 351, 5158, 7605, 13, 2333, 351, 5158, 7605, 1062, 312, 411, 341, 13, 29619, 1783, 11, 29619, 398, 13, 2333, 351, 5158, 7605, 13, 286, 536, 13], "avg_logprob": -0.3301281944299356, "compression_ratio": 1.392156862745098, "no_speech_prob": 0.0, "words": [{"start": 2283.03, "end": 2283.37, "word": " Okay.", "probability": 0.2122802734375}, {"start": 2283.71, "end": 2284.47, "word": " Let's", "probability": 0.960205078125}, {"start": 2284.47, "end": 2284.67, "word": " go", "probability": 0.958984375}, {"start": 2284.67, "end": 2284.85, "word": " to", "probability": 0.94921875}, {"start": 2284.85, "end": 2285.29, "word": " another", "probability": 0.83935546875}, {"start": 2285.29, "end": 2285.89, "word": " shape", "probability": 0.92529296875}, {"start": 2285.89, "end": 2286.19, "word": " for", "probability": 0.556640625}, {"start": 2286.19, "end": 2286.35, "word": " the", "probability": 0.8828125}, {"start": 2286.35, "end": 2286.77, "word": " indifference", "probability": 0.71142578125}, {"start": 2286.77, "end": 2287.17, "word": " curve.", "probability": 0.892578125}, {"start": 2291.35, "end": 2292.19, "word": " Indifference", "probability": 0.7490234375}, {"start": 2292.19, "end": 2292.57, "word": " curve", "probability": 0.92822265625}, {"start": 2292.57, "end": 2292.85, "word": " might", "probability": 0.892578125}, {"start": 2292.85, "end": 2293.83, "word": " be", "probability": 0.95458984375}, {"start": 2293.83, "end": 2294.93, "word": " like", "probability": 0.89306640625}, {"start": 2294.93, "end": 2297.63, "word": " this.", "probability": 0.9482421875}, {"start": 2298.07, "end": 2298.35, "word": " Quad", "probability": 0.13427734375}, {"start": 2298.35, "end": 2298.91, "word": " X,", "probability": 0.8271484375}, {"start": 2299.61, "end": 2299.93, "word": " Quad", "probability": 0.48095703125}, {"start": 2299.93, "end": 2300.45, "word": " Y.", "probability": 0.98681640625}, {"start": 2308.03, "end": 2308.85, "word": " Indifference", "probability": 0.8777669270833334}, {"start": 2308.85, "end": 2309.05, "word": " curve.", "probability": 0.8544921875}, {"start": 2309.11, "end": 2309.19, "word": " I", "probability": 0.4189453125}, {"start": 2309.19, "end": 2309.59, "word": " see.", "probability": 0.74951171875}], "temperature": 1.0}, {"id": 80, "seek": 234192, "start": 2315.37, "end": 2341.93, "text": " And difference curve, I see. The difference curve might be like this here. Let us assume that we are talking about two products,", "tokens": [400, 2649, 7605, 11, 286, 536, 13, 440, 2649, 7605, 1062, 312, 411, 341, 510, 13, 961, 505, 6552, 300, 321, 366, 1417, 466, 732, 3383, 11], "avg_logprob": -0.28404018708637785, "compression_ratio": 1.2524271844660195, "no_speech_prob": 0.0, "words": [{"start": 2315.37, "end": 2315.69, "word": " And", "probability": 0.54052734375}, {"start": 2315.69, "end": 2315.99, "word": " difference", "probability": 0.56787109375}, {"start": 2315.99, "end": 2316.33, "word": " curve,", "probability": 0.54345703125}, {"start": 2316.61, "end": 2316.79, "word": " I", "probability": 0.99658203125}, {"start": 2316.79, "end": 2317.05, "word": " see.", "probability": 0.94189453125}, {"start": 2319.09, "end": 2319.69, "word": " The", "probability": 0.047821044921875}, {"start": 2319.69, "end": 2332.23, "word": " difference", "probability": 0.66748046875}, {"start": 2332.23, "end": 2332.55, "word": " curve", "probability": 0.908203125}, {"start": 2332.55, "end": 2332.83, "word": " might", "probability": 0.8935546875}, {"start": 2332.83, "end": 2333.07, "word": " be", "probability": 0.94873046875}, {"start": 2333.07, "end": 2333.35, "word": " like", "probability": 0.9365234375}, {"start": 2333.35, "end": 2333.65, "word": " this", "probability": 0.95068359375}, {"start": 2333.65, "end": 2333.93, "word": " here.", "probability": 0.83251953125}, {"start": 2336.93, "end": 2337.23, "word": " Let", "probability": 0.95166015625}, {"start": 2337.23, "end": 2337.41, "word": " us", "probability": 0.7646484375}, {"start": 2337.41, "end": 2337.89, "word": " assume", "probability": 0.9140625}, {"start": 2337.89, "end": 2339.99, "word": " that", "probability": 0.90771484375}, {"start": 2339.99, "end": 2340.49, "word": " we", "probability": 0.91943359375}, {"start": 2340.49, "end": 2340.61, "word": " are", "probability": 0.82958984375}, {"start": 2340.61, "end": 2340.91, "word": " talking", "probability": 0.845703125}, {"start": 2340.91, "end": 2341.29, "word": " about", "probability": 0.90771484375}, {"start": 2341.29, "end": 2341.53, "word": " two", "probability": 0.9345703125}, {"start": 2341.53, "end": 2341.93, "word": " products,", "probability": 0.91552734375}], "temperature": 1.0}, {"id": 81, "seek": 237183, "start": 2344.53, "end": 2371.83, "text": " X and Y. Here we consume two units of X and three units of Y. Adding one more unit of X. How much is the giving up of Y? Zero. Adding one more unit. How much is the giving up?", "tokens": [1783, 293, 398, 13, 1692, 321, 14732, 732, 6815, 295, 1783, 293, 1045, 6815, 295, 398, 13, 31204, 472, 544, 4985, 295, 1783, 13, 1012, 709, 307, 264, 2902, 493, 295, 398, 30, 17182, 13, 31204, 472, 544, 4985, 13, 1012, 709, 307, 264, 2902, 493, 30], "avg_logprob": -0.11995442646245162, "compression_ratio": 1.7087378640776698, "no_speech_prob": 0.0, "words": [{"start": 2344.53, "end": 2344.83, "word": " X", "probability": 0.72216796875}, {"start": 2344.83, "end": 2345.01, "word": " and", "probability": 0.93896484375}, {"start": 2345.01, "end": 2345.23, "word": " Y.", "probability": 0.96484375}, {"start": 2345.89, "end": 2346.21, "word": " Here", "probability": 0.8232421875}, {"start": 2346.21, "end": 2346.43, "word": " we", "probability": 0.7197265625}, {"start": 2346.43, "end": 2347.03, "word": " consume", "probability": 0.84423828125}, {"start": 2347.03, "end": 2348.23, "word": " two", "probability": 0.845703125}, {"start": 2348.23, "end": 2348.61, "word": " units", "probability": 0.9453125}, {"start": 2348.61, "end": 2348.83, "word": " of", "probability": 0.95947265625}, {"start": 2348.83, "end": 2349.15, "word": " X", "probability": 0.97119140625}, {"start": 2349.15, "end": 2350.33, "word": " and", "probability": 0.81494140625}, {"start": 2350.33, "end": 2351.35, "word": " three", "probability": 0.93701171875}, {"start": 2351.35, "end": 2351.69, "word": " units", "probability": 0.943359375}, {"start": 2351.69, "end": 2351.91, "word": " of", "probability": 0.96337890625}, {"start": 2351.91, "end": 2352.11, "word": " Y.", "probability": 0.99560546875}, {"start": 2354.59, "end": 2355.27, "word": " Adding", "probability": 0.8876953125}, {"start": 2355.27, "end": 2356.53, "word": " one", "probability": 0.91796875}, {"start": 2356.53, "end": 2356.79, "word": " more", "probability": 0.9326171875}, {"start": 2356.79, "end": 2357.09, "word": " unit", "probability": 0.9580078125}, {"start": 2357.09, "end": 2357.29, "word": " of", "probability": 0.9208984375}, {"start": 2357.29, "end": 2357.65, "word": " X.", "probability": 0.9921875}, {"start": 2359.71, "end": 2360.39, "word": " How", "probability": 0.96142578125}, {"start": 2360.39, "end": 2360.73, "word": " much", "probability": 0.9140625}, {"start": 2360.73, "end": 2361.33, "word": " is", "probability": 0.9482421875}, {"start": 2361.33, "end": 2361.89, "word": " the", "probability": 0.91015625}, {"start": 2361.89, "end": 2362.25, "word": " giving", "probability": 0.91064453125}, {"start": 2362.25, "end": 2362.59, "word": " up", "probability": 0.9697265625}, {"start": 2362.59, "end": 2362.81, "word": " of", "probability": 0.88818359375}, {"start": 2362.81, "end": 2363.07, "word": " Y?", "probability": 0.98974609375}, {"start": 2363.85, "end": 2364.53, "word": " Zero.", "probability": 0.87744140625}, {"start": 2365.55, "end": 2365.65, "word": " Adding", "probability": 0.73974609375}, {"start": 2365.65, "end": 2367.57, "word": " one", "probability": 0.92138671875}, {"start": 2367.57, "end": 2367.79, "word": " more", "probability": 0.9345703125}, {"start": 2367.79, "end": 2368.05, "word": " unit.", "probability": 0.9599609375}, {"start": 2370.09, "end": 2370.77, "word": " How", "probability": 0.95947265625}, {"start": 2370.77, "end": 2371.01, "word": " much", "probability": 0.91357421875}, {"start": 2371.01, "end": 2371.17, "word": " is", "probability": 0.9423828125}, {"start": 2371.17, "end": 2371.29, "word": " the", "probability": 0.9052734375}, {"start": 2371.29, "end": 2371.53, "word": " giving", "probability": 0.89990234375}, {"start": 2371.53, "end": 2371.83, "word": " up?", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 82, "seek": 240096, "start": 2374.75, "end": 2400.97, "text": " So the marginal rate of substitution here equals zero in all cases. Two products are complements. There is no substitution. So in this case, the product X and Y are complements.", "tokens": [407, 264, 16885, 3314, 295, 35827, 510, 6915, 4018, 294, 439, 3331, 13, 4453, 3383, 366, 715, 17988, 13, 821, 307, 572, 35827, 13, 407, 294, 341, 1389, 11, 264, 1674, 1783, 293, 398, 366, 715, 17988, 13], "avg_logprob": -0.21133814790310004, "compression_ratio": 1.4710743801652892, "no_speech_prob": 0.0, "words": [{"start": 2374.75, "end": 2375.15, "word": " So", "probability": 0.8583984375}, {"start": 2375.15, "end": 2375.77, "word": " the", "probability": 0.619140625}, {"start": 2375.77, "end": 2376.19, "word": " marginal", "probability": 0.77880859375}, {"start": 2376.19, "end": 2376.61, "word": " rate", "probability": 0.93603515625}, {"start": 2376.61, "end": 2376.77, "word": " of", "probability": 0.943359375}, {"start": 2376.77, "end": 2377.27, "word": " substitution", "probability": 0.9462890625}, {"start": 2377.27, "end": 2377.71, "word": " here", "probability": 0.86328125}, {"start": 2377.71, "end": 2378.59, "word": " equals", "probability": 0.90869140625}, {"start": 2378.59, "end": 2379.07, "word": " zero", "probability": 0.78662109375}, {"start": 2379.07, "end": 2380.77, "word": " in", "probability": 0.7119140625}, {"start": 2380.77, "end": 2381.17, "word": " all", "probability": 0.94921875}, {"start": 2381.17, "end": 2381.81, "word": " cases.", "probability": 0.9267578125}, {"start": 2382.61, "end": 2382.95, "word": " Two", "probability": 0.07275390625}, {"start": 2382.95, "end": 2384.93, "word": " products", "probability": 0.89990234375}, {"start": 2384.93, "end": 2385.29, "word": " are", "probability": 0.927734375}, {"start": 2385.29, "end": 2386.13, "word": " complements.", "probability": 0.6961669921875}, {"start": 2387.61, "end": 2388.59, "word": " There", "probability": 0.62744140625}, {"start": 2388.59, "end": 2391.65, "word": " is", "probability": 0.6787109375}, {"start": 2391.65, "end": 2391.89, "word": " no", "probability": 0.94287109375}, {"start": 2391.89, "end": 2392.39, "word": " substitution.", "probability": 0.9482421875}, {"start": 2393.35, "end": 2394.29, "word": " So", "probability": 0.94580078125}, {"start": 2394.29, "end": 2394.57, "word": " in", "probability": 0.90625}, {"start": 2394.57, "end": 2394.87, "word": " this", "probability": 0.94921875}, {"start": 2394.87, "end": 2395.31, "word": " case,", "probability": 0.9091796875}, {"start": 2395.83, "end": 2395.95, "word": " the", "probability": 0.919921875}, {"start": 2395.95, "end": 2396.31, "word": " product", "probability": 0.884765625}, {"start": 2396.31, "end": 2396.73, "word": " X", "probability": 0.75390625}, {"start": 2396.73, "end": 2396.97, "word": " and", "probability": 0.943359375}, {"start": 2396.97, "end": 2397.49, "word": " Y", "probability": 0.9970703125}, {"start": 2397.49, "end": 2398.67, "word": " are", "probability": 0.9404296875}, {"start": 2398.67, "end": 2400.97, "word": " complements.", "probability": 0.7362060546875}], "temperature": 1.0}, {"id": 83, "seek": 242714, "start": 2402.64, "end": 2427.14, "text": " Or substitution equals zero. There is a zero substitution between X and Y if the indifference curve was L, or like L. Compliments, yeah. Compliments means...", "tokens": [1610, 35827, 6915, 4018, 13, 821, 307, 257, 4018, 35827, 1296, 1783, 293, 398, 498, 264, 1016, 351, 5158, 7605, 390, 441, 11, 420, 411, 441, 13, 33736, 8321, 11, 1338, 13, 33736, 8321, 1355, 485], "avg_logprob": -0.32326858752482646, "compression_ratio": 1.3277310924369747, "no_speech_prob": 0.0, "words": [{"start": 2402.64, "end": 2402.94, "word": " Or", "probability": 0.662109375}, {"start": 2402.94, "end": 2403.54, "word": " substitution", "probability": 0.8828125}, {"start": 2403.54, "end": 2404.78, "word": " equals", "probability": 0.89208984375}, {"start": 2404.78, "end": 2405.22, "word": " zero.", "probability": 0.7431640625}, {"start": 2408.32, "end": 2408.68, "word": " There", "probability": 0.7861328125}, {"start": 2408.68, "end": 2409.06, "word": " is", "probability": 0.94873046875}, {"start": 2409.06, "end": 2409.74, "word": " a", "probability": 0.962890625}, {"start": 2409.74, "end": 2410.16, "word": " zero", "probability": 0.89306640625}, {"start": 2410.16, "end": 2411.0, "word": " substitution", "probability": 0.9375}, {"start": 2411.0, "end": 2412.18, "word": " between", "probability": 0.8837890625}, {"start": 2412.18, "end": 2412.68, "word": " X", "probability": 0.5458984375}, {"start": 2412.68, "end": 2412.92, "word": " and", "probability": 0.9375}, {"start": 2412.92, "end": 2413.38, "word": " Y", "probability": 0.9951171875}, {"start": 2413.38, "end": 2414.28, "word": " if", "probability": 0.7587890625}, {"start": 2414.28, "end": 2414.76, "word": " the", "probability": 0.92041015625}, {"start": 2414.76, "end": 2415.4, "word": " indifference", "probability": 0.87109375}, {"start": 2415.4, "end": 2415.94, "word": " curve", "probability": 0.94384765625}, {"start": 2415.94, "end": 2416.76, "word": " was", "probability": 0.951171875}, {"start": 2416.76, "end": 2417.38, "word": " L,", "probability": 0.8779296875}, {"start": 2418.92, "end": 2419.18, "word": " or", "probability": 0.95703125}, {"start": 2419.18, "end": 2419.82, "word": " like", "probability": 0.63623046875}, {"start": 2419.82, "end": 2420.08, "word": " L.", "probability": 0.9814453125}, {"start": 2421.9, "end": 2423.1, "word": " Compliments,", "probability": 0.774658203125}, {"start": 2423.14, "end": 2423.3, "word": " yeah.", "probability": 0.364501953125}, {"start": 2425.52, "end": 2426.04, "word": " Compliments", "probability": 0.92578125}, {"start": 2426.04, "end": 2427.14, "word": " means...", "probability": 0.2382965087890625}], "temperature": 1.0}, {"id": 84, "seek": 245552, "start": 2431.5, "end": 2455.52, "text": " Zero substitution. There is no substitution. Substitution equals zero. So the marginal rate of substitution in this case at one here, at two, in this example, at two units of X, two units of X, how many units of Y? 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Let's calculate the marginal rate of substitution or the slope of this line. How much is it here? Three minus three over three minus two, zero. Three minus three over zero, zero. The marginal rate of substitution equals zero. That's it. 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Okay, let's go to the budget line. Let's go to the budget line. 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But to buy, we have to have the ability to buy, which is the second part of demand. Because demand represents or talks or has two parts. 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0.93359375}, {"start": 2595.09, "end": 2595.53, "word": " parts.", "probability": 0.84326171875}, {"start": 2596.23, "end": 2596.41, "word": " A", "probability": 0.8251953125}, {"start": 2596.41, "end": 2596.71, "word": " willingness", "probability": 0.865234375}, {"start": 2596.71, "end": 2597.27, "word": " or", "probability": 0.8974609375}, {"start": 2597.27, "end": 2597.83, "word": " desire", "probability": 0.8916015625}, {"start": 2597.83, "end": 2598.15, "word": " to", "probability": 0.97021484375}, {"start": 2598.15, "end": 2598.35, "word": " buy", "probability": 0.9248046875}, {"start": 2598.35, "end": 2598.89, "word": " something,", "probability": 0.8623046875}, {"start": 2599.51, "end": 2599.97, "word": " plus", "probability": 0.9443359375}, {"start": 2599.97, "end": 2600.43, "word": " the", "probability": 0.9052734375}, {"start": 2600.43, "end": 2600.93, "word": " ability", "probability": 0.95458984375}, {"start": 2600.93, "end": 2601.23, "word": " to", "probability": 0.966796875}, {"start": 2601.23, "end": 2601.53, "word": " buy.", "probability": 0.91748046875}], "temperature": 1.0}, {"id": 90, "seek": 263070, "start": 2603.12, "end": 2630.7, "text": " The willingness to buy can be represented by the indifference curve, which talks about the total utility obtained. Here we're talking about the willingness to buy, the willingness to consume. Another part can be represented, or the ability to consume can be represented or discussed out of the budget line. The budget line means budget.", "tokens": [440, 25069, 281, 2256, 393, 312, 10379, 538, 264, 1016, 351, 5158, 7605, 11, 597, 6686, 466, 264, 3217, 14877, 14879, 13, 1692, 321, 434, 1417, 466, 264, 25069, 281, 2256, 11, 264, 25069, 281, 14732, 13, 3996, 644, 393, 312, 10379, 11, 420, 264, 3485, 281, 14732, 393, 312, 10379, 420, 7152, 484, 295, 264, 4706, 1622, 13, 440, 4706, 1622, 1355, 4706, 13], "avg_logprob": -0.1506865555138299, "compression_ratio": 1.8932584269662922, "no_speech_prob": 0.0, "words": [{"start": 2603.12, "end": 2603.34, "word": " The", "probability": 0.85546875}, {"start": 2603.34, "end": 2603.68, "word": " willingness", "probability": 0.91015625}, {"start": 2603.68, "end": 2604.0, "word": " to", "probability": 0.9697265625}, {"start": 2604.0, "end": 2604.32, "word": " buy", "probability": 0.92822265625}, {"start": 2604.32, "end": 2604.88, "word": " can", "probability": 0.92822265625}, {"start": 2604.88, "end": 2605.14, "word": " be", "probability": 0.94921875}, {"start": 2605.14, "end": 2605.9, "word": " represented", "probability": 0.8056640625}, {"start": 2605.9, "end": 2606.48, "word": " by", "probability": 0.970703125}, {"start": 2606.48, "end": 2606.98, "word": " the", "probability": 0.9267578125}, {"start": 2606.98, "end": 2607.6, "word": " indifference", "probability": 0.8870442708333334}, {"start": 2607.6, "end": 2608.1, "word": " curve,", "probability": 0.95263671875}, {"start": 2608.3, "end": 2608.58, "word": " which", "probability": 0.9521484375}, {"start": 2608.58, "end": 2609.22, "word": " talks", "probability": 0.86181640625}, {"start": 2609.22, "end": 2609.62, "word": " about", "probability": 0.904296875}, {"start": 2609.62, "end": 2609.94, "word": " the", "probability": 0.89208984375}, {"start": 2609.94, "end": 2610.34, "word": " total", "probability": 0.88134765625}, {"start": 2610.34, "end": 2610.72, "word": " utility", "probability": 0.931640625}, {"start": 2610.72, "end": 2611.38, "word": " obtained.", "probability": 0.94091796875}, {"start": 2611.52, "end": 2611.64, "word": " Here", "probability": 0.3857421875}, {"start": 2611.64, "end": 2611.74, "word": " we're", "probability": 0.740234375}, {"start": 2611.74, "end": 2611.98, "word": " talking", "probability": 0.8515625}, {"start": 2611.98, "end": 2612.3, "word": " about", "probability": 0.90087890625}, {"start": 2612.3, "end": 2612.68, "word": " the", "probability": 0.91162109375}, {"start": 2612.68, "end": 2612.98, "word": " willingness", "probability": 0.90673828125}, {"start": 2612.98, "end": 2613.32, "word": " to", "probability": 0.970703125}, {"start": 2613.32, "end": 2613.58, "word": " buy,", "probability": 0.92236328125}, {"start": 2614.4, "end": 2614.52, "word": " the", "probability": 0.91943359375}, {"start": 2614.52, "end": 2614.82, "word": " willingness", "probability": 0.9150390625}, {"start": 2614.82, "end": 2615.12, "word": " to", "probability": 0.9697265625}, {"start": 2615.12, "end": 2615.64, "word": " consume.", "probability": 0.9287109375}, {"start": 2617.24, "end": 2617.72, "word": " Another", "probability": 0.407470703125}, {"start": 2617.72, "end": 2618.38, "word": " part", "probability": 0.88720703125}, {"start": 2618.38, "end": 2619.46, "word": " can", "probability": 0.88134765625}, {"start": 2619.46, "end": 2620.02, "word": " be", "probability": 0.95556640625}, {"start": 2620.02, "end": 2620.98, "word": " represented,", "probability": 0.81494140625}, {"start": 2621.36, "end": 2621.48, "word": " or", "probability": 0.9599609375}, {"start": 2621.48, "end": 2621.62, "word": " the", "probability": 0.91943359375}, {"start": 2621.62, "end": 2621.96, "word": " ability", "probability": 0.95263671875}, {"start": 2621.96, "end": 2622.16, "word": " to", "probability": 0.970703125}, {"start": 2622.16, "end": 2622.6, "word": " consume", "probability": 0.93603515625}, {"start": 2622.6, "end": 2623.1, "word": " can", "probability": 0.6474609375}, {"start": 2623.1, "end": 2623.64, "word": " be", "probability": 0.9541015625}, {"start": 2623.64, "end": 2624.6, "word": " represented", "probability": 0.77294921875}, {"start": 2624.6, "end": 2625.0, "word": " or", "probability": 0.923828125}, {"start": 2625.0, "end": 2625.48, "word": " discussed", "probability": 0.87548828125}, {"start": 2625.48, "end": 2625.98, "word": " out", "probability": 0.405517578125}, {"start": 2625.98, "end": 2626.18, "word": " of", "probability": 0.97314453125}, {"start": 2626.18, "end": 2626.58, "word": " the", "probability": 0.91455078125}, {"start": 2626.58, "end": 2627.66, "word": " budget", "probability": 0.892578125}, {"start": 2627.66, "end": 2628.24, "word": " line.", "probability": 0.95703125}, {"start": 2628.38, "end": 2628.5, "word": " The", "probability": 0.880859375}, {"start": 2628.5, "end": 2628.8, "word": " budget", "probability": 0.8876953125}, {"start": 2628.8, "end": 2629.18, "word": " line", "probability": 0.95263671875}, {"start": 2629.18, "end": 2629.6, "word": " means", "probability": 0.93017578125}, {"start": 2629.6, "end": 2630.7, "word": " budget.", "probability": 0.8701171875}], "temperature": 1.0}, {"id": 91, "seek": 266131, "start": 2631.93, "end": 2661.31, "text": " Asari. Income. Okay? The budget line means خط الميزانية which represents the ability for the consumer to buy something. Right? How can we study or learn or know or derive the budget line? Let us assume that we are talking about the consumer.", "tokens": [1018, 3504, 13, 682, 1102, 13, 1033, 30, 440, 4706, 1622, 1355, 16490, 9566, 9673, 1829, 11622, 7649, 10632, 597, 8855, 264, 3485, 337, 264, 9711, 281, 2256, 746, 13, 1779, 30, 1012, 393, 321, 2979, 420, 1466, 420, 458, 420, 28446, 264, 4706, 1622, 30, 961, 505, 6552, 300, 321, 366, 1417, 466, 264, 9711, 13], "avg_logprob": -0.21821120920880088, "compression_ratio": 1.324607329842932, "no_speech_prob": 0.0, "words": [{"start": 2631.93, "end": 2632.79, "word": " Asari.", "probability": 0.625}, {"start": 2633.57, "end": 2634.17, "word": " Income.", "probability": 0.94189453125}, {"start": 2636.17, "end": 2636.45, "word": " Okay?", "probability": 0.80810546875}, {"start": 2637.93, "end": 2638.11, "word": " The", "probability": 0.2454833984375}, {"start": 2638.11, "end": 2640.93, "word": " budget", "probability": 0.81884765625}, {"start": 2640.93, "end": 2641.27, "word": " line", "probability": 0.95849609375}, {"start": 2641.27, "end": 2641.59, "word": " means", "probability": 0.92236328125}, {"start": 2641.59, "end": 2641.87, "word": " خط", "probability": 0.6109619140625}, {"start": 2641.87, "end": 2642.55, "word": " الميزانية", "probability": 0.95966796875}, {"start": 2642.55, "end": 2642.79, "word": " which", "probability": 0.457275390625}, {"start": 2642.79, "end": 2643.57, "word": " represents", "probability": 0.87841796875}, {"start": 2643.57, "end": 2644.23, "word": " the", "probability": 0.91845703125}, {"start": 2644.23, "end": 2644.85, "word": " ability", "probability": 0.94873046875}, {"start": 2644.85, "end": 2645.41, "word": " for", "probability": 0.92529296875}, {"start": 2645.41, "end": 2645.61, "word": " the", "probability": 0.9130859375}, {"start": 2645.61, "end": 2646.15, "word": " consumer", "probability": 0.849609375}, {"start": 2646.15, "end": 2646.47, "word": " to", "probability": 0.978515625}, {"start": 2646.47, "end": 2646.69, "word": " buy", "probability": 0.93115234375}, {"start": 2646.69, "end": 2647.23, "word": " something.", "probability": 0.875}, {"start": 2648.63, "end": 2649.11, "word": " Right?", "probability": 0.81982421875}, {"start": 2649.47, "end": 2649.81, "word": " How", "probability": 0.96533203125}, {"start": 2649.81, "end": 2650.17, "word": " can", "probability": 0.94482421875}, {"start": 2650.17, "end": 2650.57, "word": " we", "probability": 0.9619140625}, {"start": 2650.57, "end": 2653.15, "word": " study", "probability": 0.91650390625}, {"start": 2653.15, "end": 2653.63, "word": " or", "probability": 0.84765625}, {"start": 2653.63, "end": 2654.13, "word": " learn", "probability": 0.96875}, {"start": 2654.13, "end": 2654.71, "word": " or", "probability": 0.89990234375}, {"start": 2654.71, "end": 2655.59, "word": " know", "probability": 0.88525390625}, {"start": 2655.59, "end": 2656.01, "word": " or", "probability": 0.9072265625}, {"start": 2656.01, "end": 2656.71, "word": " derive", "probability": 0.74169921875}, {"start": 2656.71, "end": 2657.31, "word": " the", "probability": 0.90625}, {"start": 2657.31, "end": 2657.71, "word": " budget", "probability": 0.8857421875}, {"start": 2657.71, "end": 2658.15, "word": " line?", "probability": 0.95361328125}, {"start": 2658.79, "end": 2658.97, "word": " Let", "probability": 0.947265625}, {"start": 2658.97, "end": 2659.17, "word": " us", "probability": 0.8427734375}, {"start": 2659.17, "end": 2659.57, "word": " assume", "probability": 0.91064453125}, {"start": 2659.57, "end": 2659.79, "word": " that", "probability": 0.92431640625}, {"start": 2659.79, "end": 2659.91, "word": " we", "probability": 0.89111328125}, {"start": 2659.91, "end": 2659.97, "word": " are", "probability": 0.77734375}, {"start": 2659.97, "end": 2660.25, "word": " talking", "probability": 0.85009765625}, {"start": 2660.25, "end": 2660.59, "word": " about", "probability": 0.900390625}, {"start": 2660.59, "end": 2660.81, "word": " the", "probability": 0.51416015625}, {"start": 2660.81, "end": 2661.31, "word": " consumer.", "probability": 0.87939453125}], "temperature": 1.0}, {"id": 92, "seek": 268859, "start": 2662.65, "end": 2688.59, "text": " And this consumer is granted a salary or an income of $2,000 a month. And so let's just assume that the consumer's income equals $2,000. And he allocates his income to buy two products only, X and Y.", "tokens": [400, 341, 9711, 307, 12344, 257, 15360, 420, 364, 5742, 295, 1848, 17, 11, 1360, 257, 1618, 13, 400, 370, 718, 311, 445, 6552, 300, 264, 9711, 311, 5742, 6915, 1848, 17, 11, 1360, 13, 400, 415, 12660, 1024, 702, 5742, 281, 2256, 732, 3383, 787, 11, 1783, 293, 398, 13], "avg_logprob": -0.13777043498479402, "compression_ratio": 1.408450704225352, "no_speech_prob": 0.0, "words": [{"start": 2662.65, "end": 2663.05, "word": " And", "probability": 0.55859375}, {"start": 2663.05, "end": 2663.35, "word": " this", "probability": 0.92236328125}, {"start": 2663.35, "end": 2663.99, "word": " consumer", "probability": 0.8388671875}, {"start": 2663.99, "end": 2665.59, "word": " is", "probability": 0.90966796875}, {"start": 2665.59, "end": 2666.09, "word": " granted", "probability": 0.88037109375}, {"start": 2666.09, "end": 2666.37, "word": " a", "probability": 0.916015625}, {"start": 2666.37, "end": 2666.73, "word": " salary", "probability": 0.94970703125}, {"start": 2666.73, "end": 2667.19, "word": " or", "probability": 0.6806640625}, {"start": 2667.19, "end": 2667.55, "word": " an", "probability": 0.8720703125}, {"start": 2667.55, "end": 2668.21, "word": " income", "probability": 0.93994140625}, {"start": 2668.21, "end": 2668.79, "word": " of", "probability": 0.96533203125}, {"start": 2668.79, "end": 2669.35, "word": " $2", "probability": 0.637451171875}, {"start": 2669.35, "end": 2669.99, "word": ",000", "probability": 0.98876953125}, {"start": 2669.99, "end": 2670.79, "word": " a", "probability": 0.89453125}, {"start": 2670.79, "end": 2671.05, "word": " month.", "probability": 0.9189453125}, {"start": 2672.25, "end": 2672.27, "word": " And", "probability": 0.625}, {"start": 2672.27, "end": 2672.77, "word": " so", "probability": 0.91748046875}, {"start": 2672.77, "end": 2673.51, "word": " let's", "probability": 0.773193359375}, {"start": 2673.51, "end": 2673.65, "word": " just", "probability": 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"probability": 0.9599609375}, {"start": 2684.49, "end": 2685.17, "word": " income", "probability": 0.951171875}, {"start": 2685.17, "end": 2685.67, "word": " to", "probability": 0.96630859375}, {"start": 2685.67, "end": 2685.97, "word": " buy", "probability": 0.94140625}, {"start": 2685.97, "end": 2686.31, "word": " two", "probability": 0.92431640625}, {"start": 2686.31, "end": 2686.81, "word": " products", "probability": 0.85791015625}, {"start": 2686.81, "end": 2687.29, "word": " only,", "probability": 0.90869140625}, {"start": 2687.65, "end": 2687.95, "word": " X", "probability": 0.71533203125}, {"start": 2687.95, "end": 2688.25, "word": " and", "probability": 0.94677734375}, {"start": 2688.25, "end": 2688.59, "word": " Y.", "probability": 0.99560546875}], "temperature": 1.0}, {"id": 93, "seek": 271797, "start": 2692.03, "end": 2717.97, "text": " Let us assume also that the price per unit of X price per unit of X equals $40 and the price per unit of Y equals $20.", "tokens": [961, 505, 6552, 611, 300, 264, 3218, 680, 4985, 295, 1783, 3218, 680, 4985, 295, 1783, 6915, 1848, 5254, 293, 264, 3218, 680, 4985, 295, 398, 6915, 1848, 2009, 13], "avg_logprob": -0.2714213825041248, "compression_ratio": 1.5657894736842106, "no_speech_prob": 0.0, "words": [{"start": 2692.03, "end": 2692.35, "word": " Let", "probability": 0.6875}, {"start": 2692.35, "end": 2692.53, "word": " us", "probability": 0.5498046875}, {"start": 2692.53, "end": 2692.89, "word": " assume", "probability": 0.8876953125}, {"start": 2692.89, "end": 2693.27, "word": " also", "probability": 0.78173828125}, {"start": 2693.27, "end": 2693.91, "word": " that", "probability": 0.92578125}, {"start": 2693.91, "end": 2694.63, "word": " the", "probability": 0.81494140625}, {"start": 2694.63, "end": 2695.05, "word": " price", "probability": 0.87939453125}, {"start": 2695.05, "end": 2695.43, "word": " per", "probability": 0.273681640625}, {"start": 2695.43, "end": 2695.63, "word": " unit", "probability": 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If he tends to buy only X and zero from Y, how many units of X can he buy?", "tokens": [759, 264, 9711, 2738, 281, 2256, 787, 1783, 11, 577, 867, 6815, 295, 1783, 393, 415, 2256, 30, 759, 415, 12258, 281, 2256, 787, 1783, 293, 4018, 490, 398, 11, 577, 867, 6815, 295, 1783, 393, 415, 2256, 30], "avg_logprob": -0.10244140718132258, "compression_ratio": 1.5483870967741935, "no_speech_prob": 0.0, "words": [{"start": 2725.04, "end": 2725.38, "word": " If", "probability": 0.83251953125}, {"start": 2725.38, "end": 2725.62, "word": " the", "probability": 0.91162109375}, {"start": 2725.62, "end": 2726.18, "word": " consumer", "probability": 0.84619140625}, {"start": 2726.18, "end": 2727.4, "word": " wants", "probability": 0.82177734375}, {"start": 2727.4, "end": 2728.42, "word": " to", "probability": 0.97021484375}, {"start": 2728.42, "end": 2728.84, "word": " buy", "probability": 0.912109375}, {"start": 2728.84, "end": 2729.86, "word": " only", "probability": 0.92236328125}, {"start": 2729.86, "end": 2730.48, "word": " X,", "probability": 0.498291015625}, {"start": 2730.94, "end": 2731.32, "word": " how", "probability": 0.93212890625}, {"start": 2731.32, "end": 2731.6, "word": " many", "probability": 0.89892578125}, {"start": 2731.6, "end": 2731.92, "word": " units", "probability": 0.94677734375}, {"start": 2731.92, "end": 2732.14, "word": " of", "probability": 0.955078125}, {"start": 2732.14, "end": 2732.36, "word": " X", "probability": 0.9873046875}, {"start": 2732.36, "end": 2732.66, "word": " can", "probability": 0.9453125}, {"start": 2732.66, "end": 2732.82, "word": " he", "probability": 0.9169921875}, {"start": 2732.82, "end": 2733.02, "word": " buy?", "probability": 0.9208984375}, {"start": 2734.42, "end": 2734.94, "word": " If", "probability": 0.9677734375}, {"start": 2734.94, "end": 2735.32, "word": " he", "probability": 0.95947265625}, {"start": 2735.32, "end": 2736.38, "word": " tends", "probability": 0.779296875}, {"start": 2736.38, "end": 2737.0, "word": " to", "probability": 0.96923828125}, {"start": 2737.0, "end": 2737.34, "word": " buy", "probability": 0.912109375}, {"start": 2737.34, "end": 2738.1, "word": " only", "probability": 0.919921875}, {"start": 2738.1, "end": 2738.72, "word": " X", "probability": 0.990234375}, {"start": 2738.72, "end": 2739.08, "word": " and", "probability": 0.84814453125}, {"start": 2739.08, "end": 2739.48, "word": " zero", "probability": 0.67822265625}, {"start": 2739.48, "end": 2739.8, "word": " from", "probability": 0.87451171875}, {"start": 2739.8, "end": 2740.08, "word": " Y,", "probability": 0.99365234375}, {"start": 2740.4, "end": 2740.6, "word": " how", "probability": 0.93212890625}, {"start": 2740.6, "end": 2740.88, "word": " many", "probability": 0.89599609375}, {"start": 2740.88, "end": 2741.16, "word": " units", "probability": 0.943359375}, {"start": 2741.16, "end": 2741.42, "word": " of", "probability": 0.96533203125}, {"start": 2741.42, "end": 2742.02, "word": " X", "probability": 0.86669921875}, {"start": 2742.02, "end": 2742.26, "word": " can", "probability": 0.94189453125}, {"start": 2742.26, "end": 2742.4, "word": " he", "probability": 0.9208984375}, {"start": 2742.4, "end": 2742.6, "word": " buy?", "probability": 0.9208984375}], "temperature": 1.0}, {"id": 95, "seek": 277240, "start": 2746.76, "end": 2772.4, "text": " Which means that the consumer tends to allocate his income to buy only X. In this case, QX equals income over price of X. 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Here's the quant of X and the quant of Y. 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Because in this case, in the first case, he will spend all of his income to buy only x. How much can he buy? The ability to buy. Here is the ability to buy y. 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If the consumer wants to buy only X, how many units of X can he buy? Fifty. How many units of Y in this case? 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If we connect these points here, this is the budget line. Line represents the ability of the consumer to buy different quantities of goods. 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Yes, yes, yes. This is the budget line.", "tokens": [467, 311, 257, 1622, 11, 1622, 11, 1622, 11, 1622, 510, 13, 1079, 11, 2086, 11, 2086, 13, 639, 307, 264, 4706, 1622, 13], "avg_logprob": -0.16906249523162842, "compression_ratio": 1.2881355932203389, "no_speech_prob": 0.0, "words": [{"start": 2959.92, "end": 2960.16, "word": " It's", "probability": 0.866943359375}, {"start": 2960.16, "end": 2960.28, "word": " a", "probability": 0.978515625}, {"start": 2960.28, "end": 2960.7, "word": " line,", "probability": 0.95654296875}, {"start": 2961.0, "end": 2961.64, "word": " line,", "probability": 0.75390625}, {"start": 2961.76, "end": 2962.0, "word": " line,", "probability": 0.8994140625}, {"start": 2962.08, "end": 2962.38, "word": " line", "probability": 0.93896484375}, {"start": 2962.38, "end": 2962.84, "word": " here.", "probability": 0.49267578125}, {"start": 2967.14, "end": 2967.44, "word": " Yes,", "probability": 0.331787109375}, {"start": 2967.58, "end": 2967.78, "word": " yes,", "probability": 0.95263671875}, {"start": 2967.84, "end": 2968.06, "word": " yes.", "probability": 0.9697265625}, {"start": 2974.66, "end": 2975.2, "word": " This", "probability": 0.053802490234375}, {"start": 2975.2, "end": 2975.38, "word": " is", "probability": 0.939453125}, {"start": 2975.38, "end": 2975.82, "word": " the", "probability": 0.8837890625}, {"start": 2975.82, "end": 2976.02, "word": " budget", "probability": 0.9150390625}, {"start": 2976.02, "end": 2976.52, "word": " line.", "probability": 0.955078125}], "temperature": 1.0}, {"id": 103, "seek": 301987, "start": 2991.53, "end": 3019.87, "text": " which represents or shows the ability to consumer to buy different bundles of goods. The consumer can buy also at if he buys 60 units of Y, how many units of X can he buy? If he wants to buy 10 units of X, how many units of Y can he buy?", "tokens": [597, 8855, 420, 3110, 264, 3485, 281, 9711, 281, 2256, 819, 13882, 904, 295, 10179, 13, 440, 9711, 393, 2256, 611, 412, 498, 415, 28153, 4060, 6815, 295, 398, 11, 577, 867, 6815, 295, 1783, 393, 415, 2256, 30, 759, 415, 2738, 281, 2256, 1266, 6815, 295, 1783, 11, 577, 867, 6815, 295, 398, 393, 415, 2256, 30], "avg_logprob": -0.13009798829838382, "compression_ratio": 1.63013698630137, "no_speech_prob": 0.0, "words": [{"start": 2991.53, "end": 2991.89, "word": " which", "probability": 0.779296875}, {"start": 2991.89, "end": 2992.73, "word": " represents", "probability": 0.87890625}, {"start": 2992.73, "end": 2993.19, "word": " or", "probability": 0.8408203125}, {"start": 2993.19, "end": 2993.65, "word": " shows", "probability": 0.91455078125}, {"start": 2993.65, "end": 2994.23, "word": " the", "probability": 0.90625}, {"start": 2994.23, "end": 2994.77, "word": " ability", "probability": 0.95263671875}, {"start": 2994.77, "end": 2995.03, "word": " to", "probability": 0.9189453125}, {"start": 2995.03, "end": 2995.67, "word": " consumer", "probability": 0.861328125}, {"start": 2995.67, "end": 2996.01, "word": " to", "probability": 0.953125}, {"start": 2996.01, "end": 2996.35, "word": " buy", "probability": 0.9189453125}, {"start": 2996.35, "end": 2997.19, "word": " different", "probability": 0.88134765625}, {"start": 2997.19, "end": 2997.97, "word": " bundles", "probability": 0.711669921875}, {"start": 2997.97, "end": 2998.25, "word": " of", "probability": 0.96533203125}, {"start": 2998.25, "end": 2998.47, "word": " goods.", "probability": 0.94287109375}, {"start": 3000.91, "end": 3001.51, "word": " The", "probability": 0.176513671875}, {"start": 3001.51, "end": 3006.31, "word": " consumer", "probability": 0.82421875}, {"start": 3006.31, "end": 3006.71, "word": " can", "probability": 0.9482421875}, {"start": 3006.71, "end": 3007.07, "word": " buy", "probability": 0.90185546875}, {"start": 3007.07, "end": 3007.85, "word": " also", "probability": 0.8583984375}, {"start": 3007.85, "end": 3008.69, "word": " at", "probability": 0.438232421875}, {"start": 3008.69, "end": 3009.13, "word": " if", "probability": 0.470947265625}, {"start": 3009.13, "end": 3009.45, "word": " he", "probability": 0.958984375}, {"start": 3009.45, "end": 3010.07, "word": " buys", "probability": 0.98779296875}, {"start": 3010.07, "end": 3011.29, "word": " 60", "probability": 0.92919921875}, {"start": 3011.29, "end": 3011.69, "word": " units", "probability": 0.95166015625}, {"start": 3011.69, "end": 3011.99, "word": " of", "probability": 0.97216796875}, {"start": 3011.99, "end": 3012.29, "word": " Y,", "probability": 0.81640625}, {"start": 3012.63, "end": 3012.81, "word": " how", "probability": 0.9208984375}, {"start": 3012.81, "end": 3013.11, "word": " many", "probability": 0.8935546875}, {"start": 3013.11, "end": 3013.43, "word": " units", "probability": 0.935546875}, {"start": 3013.43, "end": 3013.65, "word": " of", "probability": 0.958984375}, {"start": 3013.65, "end": 3013.85, "word": " X", "probability": 0.9853515625}, {"start": 3013.85, "end": 3014.09, "word": " can", "probability": 0.9453125}, {"start": 3014.09, "end": 3014.25, "word": " he", "probability": 0.9609375}, {"start": 3014.25, "end": 3014.49, "word": " buy?", "probability": 0.91650390625}, {"start": 3015.47, "end": 3016.07, "word": " If", "probability": 0.9501953125}, {"start": 3016.07, "end": 3016.27, "word": " he", "probability": 0.9619140625}, {"start": 3016.27, "end": 3016.67, "word": " wants", "probability": 0.81689453125}, {"start": 3016.67, "end": 3016.85, "word": " to", "probability": 0.96630859375}, {"start": 3016.85, "end": 3017.09, "word": " buy", "probability": 0.90283203125}, {"start": 3017.09, "end": 3017.37, "word": " 10", "probability": 0.908203125}, {"start": 3017.37, "end": 3017.73, "word": " units", "probability": 0.94677734375}, {"start": 3017.73, "end": 3017.95, "word": " of", "probability": 0.96435546875}, {"start": 3017.95, "end": 3018.21, "word": " X,", "probability": 0.994140625}, {"start": 3018.45, "end": 3018.55, "word": " how", "probability": 0.92919921875}, {"start": 3018.55, "end": 3018.75, "word": " many", "probability": 0.89111328125}, {"start": 3018.75, "end": 3018.97, "word": " units", "probability": 0.91943359375}, {"start": 3018.97, "end": 3019.11, "word": " of", "probability": 0.95654296875}, {"start": 3019.11, "end": 3019.29, "word": " Y", "probability": 0.9931640625}, {"start": 3019.29, "end": 3019.51, "word": " can", "probability": 0.93994140625}, {"start": 3019.51, "end": 3019.65, "word": " he", "probability": 0.95654296875}, {"start": 3019.65, "end": 3019.87, "word": " buy?", "probability": 0.91259765625}], "temperature": 1.0}, {"id": 104, "seek": 304591, "start": 3020.71, "end": 3045.91, "text": " This is a question here because the consumer can buy only along the end of the budget line. Any point lies along the budget line, the consumer can buy it.", "tokens": [639, 307, 257, 1168, 510, 570, 264, 9711, 393, 2256, 787, 2051, 264, 917, 295, 264, 4706, 1622, 13, 2639, 935, 9134, 2051, 264, 4706, 1622, 11, 264, 9711, 393, 2256, 309, 13], "avg_logprob": -0.18083639092305126, "compression_ratio": 1.4761904761904763, "no_speech_prob": 0.0, "words": [{"start": 3020.71, "end": 3020.95, "word": " This", "probability": 0.79248046875}, {"start": 3020.95, "end": 3021.03, "word": " is", "probability": 0.94873046875}, {"start": 3021.03, "end": 3021.15, "word": " a", "probability": 0.86279296875}, {"start": 3021.15, "end": 3021.53, "word": " question", "probability": 0.92822265625}, {"start": 3021.53, "end": 3021.93, "word": " here", "probability": 0.83837890625}, {"start": 3021.93, "end": 3023.17, "word": " because", "probability": 0.2890625}, {"start": 3023.17, "end": 3023.71, "word": " the", "probability": 0.857421875}, {"start": 3023.71, "end": 3024.35, "word": " consumer", "probability": 0.8544921875}, {"start": 3024.35, "end": 3024.83, "word": " can", "probability": 0.9375}, {"start": 3024.83, "end": 3025.35, "word": " buy", "probability": 0.8701171875}, {"start": 3025.35, "end": 3026.59, "word": " only", "probability": 0.8828125}, {"start": 3026.59, "end": 3027.79, "word": " along", "probability": 0.91552734375}, {"start": 3027.79, "end": 3028.57, "word": " the", "probability": 0.88671875}, {"start": 3028.57, "end": 3028.97, "word": " end", "probability": 0.7998046875}, {"start": 3028.97, "end": 3029.15, "word": " of", "probability": 0.96435546875}, {"start": 3029.15, "end": 3029.37, "word": " the", "probability": 0.9111328125}, {"start": 3029.37, "end": 3029.63, "word": " budget", "probability": 0.87451171875}, {"start": 3029.63, "end": 3030.09, "word": " line.", "probability": 0.939453125}, {"start": 3031.15, "end": 3032.03, "word": " Any", "probability": 0.876953125}, {"start": 3032.03, "end": 3032.57, "word": " point", "probability": 0.97119140625}, {"start": 3032.57, "end": 3034.55, "word": " lies", "probability": 0.8056640625}, {"start": 3034.55, "end": 3034.97, "word": " along", "probability": 0.95166015625}, {"start": 3034.97, "end": 3035.25, "word": " the", "probability": 0.91796875}, {"start": 3035.25, "end": 3035.59, "word": " budget", "probability": 0.87939453125}, {"start": 3035.59, "end": 3036.71, "word": " line,", "probability": 0.94482421875}, {"start": 3042.55, "end": 3043.01, "word": " the", "probability": 0.5283203125}, {"start": 3043.01, "end": 3044.91, "word": " consumer", "probability": 0.85546875}, {"start": 3044.91, "end": 3045.29, "word": " can", "probability": 0.9443359375}, {"start": 3045.29, "end": 3045.59, "word": " buy", "probability": 0.8671875}, {"start": 3045.59, "end": 3045.91, "word": " it.", "probability": 0.94580078125}], "temperature": 1.0}, {"id": 105, "seek": 308027, "start": 3053.75, "end": 3080.27, "text": " He needs more money, more income. If the prices go down or went down, he can buy more. Now let us assume that the consumer income increased from $2,000 to $3,000. And the price of X price of Y remains constant. 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Increase. In economics, increase, yes. But what will happen to the budget line? Chips rise. Chips rise, we'll see. So let us assume that the consumer's income goes up. Income too. Went up to 3,000.", "tokens": [47699, 13, 30367, 651, 13, 682, 14564, 11, 3488, 11, 2086, 13, 583, 437, 486, 1051, 281, 264, 4706, 1622, 30, 761, 2600, 6272, 13, 761, 2600, 6272, 11, 321, 603, 536, 13, 407, 718, 505, 6552, 300, 264, 9711, 311, 5742, 1709, 493, 13, 682, 1102, 886, 13, 31809, 493, 281, 805, 11, 1360, 13], "avg_logprob": -0.22587719507384718, "compression_ratio": 1.368421052631579, "no_speech_prob": 0.0, "words": [{"start": 3081.26, "end": 3081.8, "word": " Products.", "probability": 0.5927734375}, {"start": 3082.04, "end": 3082.5, "word": " Increase.", "probability": 0.63232421875}, {"start": 3083.74, "end": 3083.74, "word": " In", "probability": 0.6494140625}, {"start": 3083.74, "end": 3084.88, "word": " economics,", "probability": 0.59912109375}, {"start": 3085.16, "end": 3085.58, "word": " increase,", "probability": 0.84130859375}, {"start": 3085.68, "end": 3085.92, "word": " yes.", "probability": 0.9619140625}, {"start": 3086.34, "end": 3086.6, "word": " But", "probability": 0.94970703125}, {"start": 3086.6, "end": 3086.84, "word": " what", "probability": 0.89990234375}, {"start": 3086.84, "end": 3087.0, "word": " will", "probability": 0.8642578125}, {"start": 3087.0, "end": 3087.28, "word": " happen", "probability": 0.91552734375}, {"start": 3087.28, "end": 3087.54, "word": " to", "probability": 0.9658203125}, {"start": 3087.54, "end": 3087.7, "word": " the", "probability": 0.8759765625}, {"start": 3087.7, "end": 3088.06, "word": " budget", "probability": 0.87841796875}, {"start": 3088.06, "end": 3088.46, "word": " line?", "probability": 0.94482421875}, {"start": 3088.7, "end": 3089.0, "word": " Chips", "probability": 0.56048583984375}, {"start": 3089.0, "end": 3089.64, "word": " rise.", "probability": 0.755859375}, {"start": 3089.84, "end": 3090.1, "word": " Chips", "probability": 0.916748046875}, {"start": 3090.1, "end": 3090.38, "word": " rise,", "probability": 0.84765625}, {"start": 3090.44, "end": 3090.64, "word": " we'll", "probability": 0.823486328125}, {"start": 3090.64, "end": 3090.92, "word": " see.", "probability": 0.92626953125}, {"start": 3091.58, "end": 3091.84, "word": " So", "probability": 0.92138671875}, {"start": 3091.84, "end": 3092.9, "word": " let", "probability": 0.59521484375}, {"start": 3092.9, "end": 3093.1, "word": " us", "probability": 0.88427734375}, {"start": 3093.1, "end": 3093.64, "word": " assume", "probability": 0.90966796875}, {"start": 3093.64, "end": 3094.2, "word": " that", "probability": 0.92919921875}, {"start": 3094.2, "end": 3094.68, "word": " the", "probability": 0.90771484375}, {"start": 3094.68, "end": 3095.82, "word": " consumer's", "probability": 0.7822265625}, {"start": 3095.82, "end": 3096.46, "word": " income", "probability": 0.939453125}, {"start": 3096.46, "end": 3097.52, "word": " goes", "probability": 0.93505859375}, {"start": 3097.52, "end": 3097.98, "word": " up.", "probability": 0.97021484375}, {"start": 3098.7, "end": 3099.1, "word": " Income", "probability": 0.921875}, {"start": 3099.1, "end": 3099.48, "word": " too.", "probability": 0.51708984375}, {"start": 3101.74, "end": 3102.48, "word": " Went", "probability": 0.9541015625}, {"start": 3102.48, "end": 3102.9, "word": " up", "probability": 0.97021484375}, {"start": 3102.9, "end": 3103.22, "word": " to", "probability": 0.97412109375}, {"start": 3103.22, "end": 3103.58, "word": " 3", "probability": 0.28271484375}, {"start": 3103.58, "end": 3104.16, "word": ",000.", "probability": 0.974365234375}], "temperature": 1.0}, {"id": 107, "seek": 312902, "start": 3105.5, "end": 3129.02, "text": " And the price of X and price of Y remains constant. Or remain constant. 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I equals $3,000. And the price of X remains constant at $40. 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The new budget line, the new budget line, derive and draw the new budget line. The same idea here.", "tokens": [28446, 293, 2642, 264, 777, 4706, 1622, 13, 440, 777, 4706, 1622, 11, 264, 777, 4706, 1622, 11, 28446, 293, 2642, 264, 777, 4706, 1622, 13, 440, 912, 1558, 510, 13], "avg_logprob": -0.28564453311264515, "compression_ratio": 1.9154929577464788, "no_speech_prob": 0.0, "words": [{"start": 3163.72, "end": 3164.5, "word": " derive", "probability": 0.5947265625}, {"start": 3164.5, "end": 3165.06, "word": " and", "probability": 0.9404296875}, {"start": 3165.06, "end": 3165.64, "word": " draw", "probability": 0.79736328125}, {"start": 3165.64, "end": 3166.0, "word": " the", "probability": 0.91064453125}, {"start": 3166.0, "end": 3166.24, "word": " new", "probability": 0.91748046875}, {"start": 3166.24, "end": 3166.58, "word": " budget", "probability": 0.88916015625}, {"start": 3166.58, "end": 3166.92, "word": " line.", "probability": 0.9462890625}, {"start": 3171.04, "end": 3171.84, "word": " The", "probability": 0.08050537109375}, {"start": 3171.84, "end": 3179.82, "word": " new", "probability": 0.341552734375}, {"start": 3179.82, "end": 3180.16, "word": " budget", "probability": 0.8681640625}, {"start": 3180.16, "end": 3180.52, "word": " line,", "probability": 0.9462890625}, {"start": 3180.72, "end": 3180.92, "word": " the", "probability": 0.787109375}, {"start": 3180.92, "end": 3181.36, "word": " new", "probability": 0.923828125}, {"start": 3181.36, "end": 3182.58, "word": " budget", "probability": 0.8203125}, {"start": 3182.58, "end": 3182.9, "word": " line,", "probability": 0.9443359375}, {"start": 3183.8, "end": 3184.12, "word": " derive", "probability": 0.779296875}, {"start": 3184.12, "end": 3184.74, "word": " and", "probability": 0.94091796875}, {"start": 3184.74, "end": 3185.14, "word": " draw", "probability": 0.78662109375}, {"start": 3185.14, "end": 3185.74, "word": " the", "probability": 0.88916015625}, {"start": 3185.74, "end": 3186.06, "word": " new", "probability": 0.91943359375}, {"start": 3186.06, "end": 3186.38, "word": " budget", "probability": 0.8720703125}, {"start": 3186.38, "end": 3186.78, "word": " line.", "probability": 0.94091796875}, {"start": 3188.58, "end": 3189.38, "word": " The", "probability": 0.89306640625}, {"start": 3189.38, "end": 3189.84, "word": " same", "probability": 0.912109375}, {"start": 3189.84, "end": 3190.9, "word": " idea", "probability": 0.951171875}, {"start": 3190.9, "end": 3191.26, "word": " here.", "probability": 0.6025390625}], "temperature": 1.0}, {"id": 110, "seek": 321886, "start": 3192.5, "end": 3218.86, "text": " We say quantity of X equals income over the price of X. The new income, how much is it? 3000 over 40. How much is this? Nu quantity of X. This is Nu. We are talking about Nu. This is Nu and this is Nu. But there are no changes in this.", "tokens": [492, 584, 11275, 295, 1783, 6915, 5742, 670, 264, 3218, 295, 1783, 13, 440, 777, 5742, 11, 577, 709, 307, 309, 30, 20984, 670, 3356, 13, 1012, 709, 307, 341, 30, 13612, 11275, 295, 1783, 13, 639, 307, 13612, 13, 492, 366, 1417, 466, 13612, 13, 639, 307, 13612, 293, 341, 307, 13612, 13, 583, 456, 366, 572, 2962, 294, 341, 13], "avg_logprob": -0.3005952447179764, "compression_ratio": 1.542483660130719, "no_speech_prob": 0.0, "words": [{"start": 3192.5, "end": 3192.72, "word": " We", "probability": 0.3359375}, {"start": 3192.72, "end": 3192.92, "word": " say", "probability": 0.77880859375}, {"start": 3192.92, "end": 3193.46, "word": " quantity", "probability": 0.473876953125}, {"start": 3193.46, "end": 3194.22, "word": " of", "probability": 0.9580078125}, {"start": 3194.22, "end": 3194.86, "word": " X", "probability": 0.67822265625}, {"start": 3194.86, "end": 3195.48, "word": " equals", "probability": 0.8447265625}, {"start": 3195.48, "end": 3196.02, "word": " income", "probability": 0.9404296875}, {"start": 3196.02, "end": 3196.4, "word": " over", "probability": 0.91845703125}, {"start": 3196.4, "end": 3196.66, "word": " the", "probability": 0.802734375}, {"start": 3196.66, "end": 3196.92, "word": " price", "probability": 0.931640625}, {"start": 3196.92, "end": 3197.1, "word": " of", "probability": 0.9580078125}, {"start": 3197.1, "end": 3197.36, "word": " X.", "probability": 0.99072265625}, {"start": 3197.78, "end": 3197.96, "word": " The", "probability": 0.72412109375}, {"start": 3197.96, "end": 3198.1, "word": " new", "probability": 0.9130859375}, {"start": 3198.1, "end": 3198.46, "word": " income,", "probability": 0.9453125}, {"start": 3198.54, "end": 3198.66, "word": " how", "probability": 0.9345703125}, {"start": 3198.66, "end": 3198.92, "word": " much", "probability": 0.91845703125}, {"start": 3198.92, "end": 3199.08, "word": " is", "probability": 0.9501953125}, {"start": 3199.08, "end": 3199.3, "word": " it?", "probability": 0.95751953125}, {"start": 3199.64, "end": 3200.18, "word": " 3000", "probability": 0.5224609375}, {"start": 3200.18, "end": 3201.96, "word": " over", "probability": 0.6982421875}, {"start": 3201.96, "end": 3203.1, "word": " 40.", "probability": 0.90380859375}, {"start": 3204.2, "end": 3204.42, "word": " How", "probability": 0.71240234375}, {"start": 3204.42, "end": 3204.56, "word": " much", "probability": 0.884765625}, {"start": 3204.56, "end": 3204.58, "word": " is", "probability": 0.265869140625}, {"start": 3204.58, "end": 3205.04, "word": " this?", "probability": 0.462646484375}, {"start": 3209.52, "end": 3210.06, "word": " Nu", "probability": 0.314453125}, {"start": 3210.06, "end": 3210.44, "word": " quantity", "probability": 0.57666015625}, {"start": 3210.44, "end": 3210.62, "word": " of", "probability": 0.9111328125}, {"start": 3210.62, "end": 3210.88, "word": " X.", "probability": 0.97607421875}, {"start": 3211.08, "end": 3211.1, "word": " This", "probability": 0.7392578125}, {"start": 3211.1, "end": 3211.16, "word": " is", "probability": 0.9345703125}, {"start": 3211.16, "end": 3211.42, "word": " Nu.", "probability": 0.83154296875}, {"start": 3211.94, "end": 3212.36, "word": " We", "probability": 0.7724609375}, {"start": 3212.36, "end": 3212.38, "word": " are", "probability": 0.4658203125}, {"start": 3212.38, "end": 3212.66, "word": " talking", "probability": 0.82421875}, {"start": 3212.66, "end": 3213.0, "word": " about", "probability": 0.9267578125}, {"start": 3213.0, "end": 3213.38, "word": " Nu.", "probability": 0.9580078125}, {"start": 3213.7, "end": 3214.14, "word": " This", "probability": 0.560546875}, {"start": 3214.14, "end": 3214.24, "word": " is", "probability": 0.92236328125}, {"start": 3214.24, "end": 3214.56, "word": " Nu", "probability": 0.97802734375}, {"start": 3214.56, "end": 3215.18, "word": " and", "probability": 0.4248046875}, {"start": 3215.18, "end": 3215.34, "word": " this", "probability": 0.919921875}, {"start": 3215.34, "end": 3215.4, "word": " is", "probability": 0.94287109375}, {"start": 3215.4, "end": 3215.74, "word": " Nu.", "probability": 0.98974609375}, {"start": 3217.08, "end": 3217.44, "word": " But", "probability": 0.77880859375}, {"start": 3217.44, "end": 3217.6, "word": " there", "probability": 0.222900390625}, {"start": 3217.6, "end": 3217.66, "word": " are", "probability": 0.443359375}, {"start": 3217.66, "end": 3218.08, "word": " no", "probability": 0.890625}, {"start": 3218.08, "end": 3218.62, "word": " changes", "probability": 0.8369140625}, {"start": 3218.62, "end": 3218.84, "word": " in", "probability": 0.48974609375}, {"start": 3218.84, "end": 3218.86, "word": " this.", "probability": 0.615234375}], "temperature": 1.0}, {"id": 111, "seek": 324661, "start": 3220.37, "end": 3246.61, "text": "because there are changes in the income, it made changes in the quantity of X. A new quantity of Y equals a new income over the price of Y to new. Work on new. It is new without changes. It is like working on a new question.", "tokens": [17566, 456, 366, 2962, 294, 264, 5742, 11, 309, 1027, 2962, 294, 264, 11275, 295, 1783, 13, 316, 777, 11275, 295, 398, 6915, 257, 777, 5742, 670, 264, 3218, 295, 398, 281, 777, 13, 6603, 322, 777, 13, 467, 307, 777, 1553, 2962, 13, 467, 307, 411, 1364, 322, 257, 777, 1168, 13], "avg_logprob": -0.4823495243434553, "compression_ratio": 1.6115107913669064, "no_speech_prob": 0.0, "words": [{"start": 3220.37, "end": 3220.63, "word": "because", "probability": 0.33740234375}, {"start": 3220.63, "end": 3220.93, "word": " there", "probability": 0.420654296875}, {"start": 3220.93, "end": 3220.99, "word": " are", "probability": 0.625}, {"start": 3220.99, "end": 3221.47, "word": " changes", "probability": 0.798828125}, {"start": 3221.47, "end": 3221.63, "word": " in", "probability": 0.90478515625}, {"start": 3221.63, "end": 3221.71, "word": " the", "probability": 0.291259765625}, {"start": 3221.71, "end": 3222.07, "word": " income,", "probability": 0.8955078125}, {"start": 3222.53, "end": 3222.55, "word": " it", "probability": 0.160400390625}, {"start": 3222.55, "end": 3222.67, "word": " made", "probability": 0.3447265625}, {"start": 3222.67, "end": 3223.19, "word": " changes", "probability": 0.77783203125}, {"start": 3223.19, "end": 3223.37, "word": " in", "probability": 0.859375}, {"start": 3223.37, "end": 3223.43, "word": " the", "probability": 0.460205078125}, {"start": 3223.43, "end": 3223.85, "word": " quantity", "probability": 0.970703125}, {"start": 3223.85, "end": 3224.15, "word": " of", "probability": 0.87841796875}, {"start": 3224.15, "end": 3224.53, "word": " X.", "probability": 0.70458984375}, {"start": 3225.69, "end": 3226.29, "word": " A", "probability": 0.1258544921875}, {"start": 3226.29, "end": 3227.21, "word": " new", "probability": 0.82763671875}, {"start": 3227.21, "end": 3229.17, "word": " quantity", "probability": 0.7177734375}, {"start": 3229.17, "end": 3229.41, "word": " of", "probability": 0.80126953125}, {"start": 3229.41, "end": 3229.61, "word": " Y", "probability": 0.96435546875}, {"start": 3229.61, "end": 3230.81, "word": " equals", "probability": 0.837890625}, {"start": 3230.81, "end": 3231.37, "word": " a", "probability": 0.8896484375}, {"start": 3231.37, "end": 3231.57, "word": " new", "probability": 0.90234375}, {"start": 3231.57, "end": 3232.13, "word": " income", "probability": 0.9375}, {"start": 3232.13, "end": 3234.85, "word": " over", "probability": 0.42822265625}, {"start": 3234.85, "end": 3236.49, "word": " the", "probability": 0.42919921875}, {"start": 3236.49, "end": 3236.91, "word": " price", "probability": 0.87548828125}, {"start": 3236.91, "end": 3237.17, "word": " of", "probability": 0.95166015625}, {"start": 3237.17, "end": 3237.51, "word": " Y", "probability": 0.9794921875}, {"start": 3237.51, "end": 3237.73, "word": " to", "probability": 0.469482421875}, {"start": 3237.73, "end": 3237.99, "word": " new.", "probability": 0.397216796875}, {"start": 3241.27, "end": 3241.67, "word": " Work", "probability": 0.293212890625}, {"start": 3241.67, "end": 3241.89, "word": " on", "probability": 0.84033203125}, {"start": 3241.89, "end": 3242.19, "word": " new.", "probability": 0.324951171875}, {"start": 3242.59, "end": 3243.11, "word": " It", "probability": 0.763671875}, {"start": 3243.11, "end": 3243.15, "word": " is", "probability": 0.6318359375}, {"start": 3243.15, "end": 3243.57, "word": " new", "probability": 0.8623046875}, {"start": 3243.57, "end": 3244.11, "word": " without", "probability": 0.8701171875}, {"start": 3244.11, "end": 3244.91, "word": " changes.", "probability": 0.66064453125}, {"start": 3245.51, "end": 3245.65, "word": " It", "probability": 0.62353515625}, {"start": 3245.65, "end": 3245.65, "word": " is", "probability": 0.50830078125}, {"start": 3245.65, "end": 3245.79, "word": " like", "probability": 0.61669921875}, {"start": 3245.79, "end": 3246.17, "word": " working", "probability": 0.541015625}, {"start": 3246.17, "end": 3246.29, "word": " on", "probability": 0.8251953125}, {"start": 3246.29, "end": 3246.37, "word": " a", "probability": 0.93701171875}, {"start": 3246.37, "end": 3246.37, "word": " new", "probability": 0.8974609375}, {"start": 3246.37, "end": 3246.61, "word": " question.", "probability": 0.85205078125}], "temperature": 1.0}, {"id": 112, "seek": 327427, "start": 3249.53, "end": 3274.27, "text": "The new كله على new. Without it changes okay. Without it changes. الآن هيك. The new quarter of Y equals a new income تلت تلاف over twenty. كده؟ إيش هذا؟ One hundred fifty. إذا هذا هيك equals three thousand over two hundred twenty equals one hundred fifty.", "tokens": [2278, 777, 28242, 3224, 15844, 777, 13, 9129, 309, 2962, 1392, 13, 9129, 309, 2962, 13, 6024, 48506, 39896, 4117, 13, 440, 777, 6555, 295, 398, 6915, 257, 777, 5742, 6055, 1211, 2655, 6055, 15040, 5172, 670, 7699, 13, 9122, 3215, 3224, 22807, 11933, 1829, 8592, 23758, 22807, 1485, 3262, 13442, 13, 11933, 15730, 23758, 39896, 4117, 6915, 1045, 4714, 670, 732, 3262, 7699, 6915, 472, 3262, 13442, 13], "avg_logprob": -0.43258927805083136, "compression_ratio": 1.560846560846561, "no_speech_prob": 0.0, "words": [{"start": 3249.53, "end": 3249.79, "word": "The", "probability": 0.1964111328125}, {"start": 3249.79, "end": 3250.09, "word": " new", "probability": 0.8623046875}, {"start": 3250.09, "end": 3250.51, "word": " كله", "probability": 0.4141845703125}, {"start": 3250.51, "end": 3250.63, "word": " على", "probability": 0.6201171875}, {"start": 3250.63, "end": 3250.93, "word": " new.", "probability": 0.8076171875}, {"start": 3251.21, "end": 3251.45, "word": " Without", "probability": 0.92041015625}, {"start": 3251.45, "end": 3251.67, "word": " it", "probability": 0.3173828125}, {"start": 3251.67, "end": 3252.05, "word": " changes", "probability": 0.69921875}, {"start": 3252.05, "end": 3252.47, "word": " okay.", "probability": 0.6044921875}, {"start": 3253.01, "end": 3253.13, "word": " Without", "probability": 0.83349609375}, {"start": 3253.13, "end": 3253.37, "word": " it", "probability": 0.958984375}, {"start": 3253.37, "end": 3253.83, "word": " changes.", "probability": 0.85205078125}, {"start": 3256.03, "end": 3256.51, "word": " الآن", "probability": 0.5498046875}, {"start": 3256.51, "end": 3257.47, "word": " هيك.", "probability": 0.951171875}, {"start": 3257.71, "end": 3257.83, "word": " The", "probability": 0.8642578125}, {"start": 3257.83, "end": 3258.05, "word": " new", "probability": 0.923828125}, {"start": 3258.05, "end": 3258.39, "word": " quarter", "probability": 0.2252197265625}, {"start": 3258.39, "end": 3258.57, "word": " of", "probability": 0.7578125}, {"start": 3258.57, "end": 3258.73, "word": " Y", "probability": 0.74951171875}, {"start": 3258.73, "end": 3259.15, "word": " equals", "probability": 0.93505859375}, {"start": 3259.15, "end": 3259.51, "word": " a", "probability": 0.6064453125}, {"start": 3259.51, "end": 3259.73, "word": " new", "probability": 0.91064453125}, {"start": 3259.73, "end": 3260.35, "word": " income", "probability": 0.95458984375}, {"start": 3260.35, "end": 3262.39, "word": " تلت", "probability": 0.7452799479166666}, {"start": 3262.39, "end": 3262.85, "word": " تلاف", "probability": 0.6892903645833334}, {"start": 3262.85, "end": 3263.23, "word": " over", "probability": 0.88037109375}, {"start": 3263.23, "end": 3264.99, "word": " twenty.", "probability": 0.69482421875}, {"start": 3265.45, "end": 3265.83, "word": " كده؟", "probability": 0.602783203125}, {"start": 3265.83, "end": 3265.93, "word": " إيش", "probability": 0.82177734375}, {"start": 3265.93, "end": 3266.43, "word": " هذا؟", "probability": 0.855224609375}, {"start": 3266.43, "end": 3266.67, "word": " One", "probability": 0.42578125}, {"start": 3266.67, "end": 3266.83, "word": " hundred", "probability": 0.78076171875}, {"start": 3266.83, "end": 3267.15, "word": " fifty.", "probability": 0.6123046875}, {"start": 3267.29, "end": 3267.39, "word": " إذا", "probability": 0.67578125}, {"start": 3267.39, "end": 3267.73, "word": " هذا", "probability": 0.59716796875}, {"start": 3267.73, "end": 3268.19, "word": " هيك", "probability": 0.954345703125}, {"start": 3268.19, "end": 3268.97, "word": " equals", "probability": 0.74755859375}, {"start": 3268.97, "end": 3270.43, "word": " three", "probability": 0.78125}, {"start": 3270.43, "end": 3270.97, "word": " thousand", "probability": 0.89404296875}, {"start": 3270.97, "end": 3271.95, "word": " over", "probability": 0.93408203125}, {"start": 3271.95, "end": 3272.33, "word": " two", "probability": 0.587890625}, {"start": 3272.33, "end": 3272.59, "word": " hundred", "probability": 0.75830078125}, {"start": 3272.59, "end": 3273.05, "word": " twenty", "probability": 0.6630859375}, {"start": 3273.05, "end": 3273.63, "word": " equals", "probability": 0.701171875}, {"start": 3273.63, "end": 3273.83, "word": " one", "probability": 0.8720703125}, {"start": 3273.83, "end": 3273.97, "word": " hundred", "probability": 0.93017578125}, {"start": 3273.97, "end": 3274.27, "word": " fifty.", "probability": 0.6533203125}], "temperature": 1.0}, {"id": 113, "seek": 330217, "start": 3277.65, "end": 3302.17, "text": " No, the same. It goes up to 150. And this goes up to 75. And it connects the two together. Parallel to the previous one. So, who doesn't understand?", "tokens": [883, 11, 264, 912, 13, 467, 1709, 493, 281, 8451, 13, 400, 341, 1709, 493, 281, 9562, 13, 400, 309, 16967, 264, 732, 1214, 13, 3457, 336, 338, 281, 264, 3894, 472, 13, 407, 11, 567, 1177, 380, 1223, 30], "avg_logprob": -0.4455030545955751, "compression_ratio": 1.221311475409836, "no_speech_prob": 0.0, "words": [{"start": 3277.65, "end": 3277.95, "word": " No,", "probability": 0.2308349609375}, {"start": 3278.03, "end": 3278.19, "word": " the", "probability": 0.8046875}, {"start": 3278.19, "end": 3278.57, "word": " same.", "probability": 0.90380859375}, {"start": 3278.83, "end": 3278.91, "word": " It", "probability": 0.307861328125}, {"start": 3278.91, "end": 3279.09, "word": " goes", "probability": 0.282470703125}, {"start": 3279.09, "end": 3279.45, "word": " up", "probability": 0.84375}, {"start": 3279.45, "end": 3279.99, "word": " to", "probability": 0.84912109375}, {"start": 3279.99, "end": 3280.91, "word": " 150.", "probability": 0.84423828125}, {"start": 3281.35, "end": 3282.03, "word": " And", "probability": 0.65380859375}, {"start": 3282.03, "end": 3282.39, "word": " this", "probability": 0.7587890625}, {"start": 3282.39, "end": 3284.01, "word": " goes", "probability": 0.33935546875}, {"start": 3284.01, "end": 3284.41, "word": " up", "probability": 0.6044921875}, {"start": 3284.41, "end": 3284.67, "word": " to", "probability": 0.9482421875}, {"start": 3284.67, "end": 3286.03, "word": " 75.", "probability": 0.86083984375}, {"start": 3287.65, "end": 3288.33, "word": " And", "probability": 0.6572265625}, {"start": 3288.33, "end": 3288.41, "word": " it", "probability": 0.152099609375}, {"start": 3288.41, "end": 3288.65, "word": " connects", "probability": 0.59423828125}, {"start": 3288.65, "end": 3288.83, "word": " the", "probability": 0.439208984375}, {"start": 3288.83, "end": 3289.01, "word": " two", "probability": 0.9208984375}, {"start": 3289.01, "end": 3289.47, "word": " together.", "probability": 0.642578125}, {"start": 3291.97, "end": 3292.65, "word": " Parallel", "probability": 0.9318033854166666}, {"start": 3292.65, "end": 3292.81, "word": " to", "probability": 0.9697265625}, {"start": 3292.81, "end": 3292.93, "word": " the", "probability": 0.92578125}, {"start": 3292.93, "end": 3293.25, "word": " previous", "probability": 0.85693359375}, {"start": 3293.25, "end": 3293.59, "word": " one.", "probability": 0.9267578125}, {"start": 3300.31, "end": 3300.63, "word": " So,", "probability": 0.916015625}, {"start": 3301.19, "end": 3301.77, "word": " who", "probability": 0.5830078125}, {"start": 3301.77, "end": 3301.89, "word": " doesn't", "probability": 0.796875}, {"start": 3301.89, "end": 3302.17, "word": " understand?", "probability": 0.62109375}], "temperature": 1.0}, {"id": 114, "seek": 333380, "start": 3311.56, "end": 3333.8, "text": " If the consumer's income went down from $2,000 and the prices remained conistent. 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