fixed PDF generation error
for some reason the \pm latex was not working without a space before and after the $ signs.
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@ -1019,7 +1019,7 @@
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"\n",
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"What is the probability of a the temperature being exactly 22°C? Intuitively, 0. These are real numbers, and the odds of 22°C vs, say, 22.00000000000017°C is infitesimal. Mathematically, what would we get if we integrate from 22 to 22? Zero. \n",
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"\n",
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"In practice our sensors do not have infinite precision, so a reading of 22°C implies a range, such as 22$\\pm$0.1°C, and we can compute the probability of that range by integrating from 21.9 to 22.1.\n",
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"In practice our sensors do not have infinite precision, so a reading of 22°C implies a range, such as 22 $\\pm$ 0.1°C, and we can compute the probability of that range by integrating from 21.9 to 22.1.\n",
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"\n",
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"We can think of this in Bayesian terms or frequentist terms. As a Bayesian, if the thermometer reads exactly 22°C, then our belief is described by the curve - our belief that the actual (system) temperature is near 22°C is very high, and our belief that the actual temperature is near 18 is very low. As a frequentist we would say that if we took 1 billion temperature measurements of a system at exactly 22°C, then a histogram of the measurements would look like this curve. \n",
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"\n",
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