Fixed headers for nbconvert.
nbconvert does not work with the ### style headers, so I converted to using the header cells where I was using the hash headers.
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@@ -1,7 +1,7 @@
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{
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"metadata": {
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"name": "",
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"signature": "sha256:402152422ec6a095e6eb2472fe34e23b3492cab93a8573e7060446a06e2e7a07"
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"signature": "sha256:f08e94cbb6c00464eb37c3fd1d0eafa5e7453f677f35d30f69a0eafd0f7f71c4"
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},
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"nbformat": 3,
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"nbformat_minor": 0,
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@@ -491,12 +491,18 @@
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"This is an **extremely important** result. Gaussians allow me to capture an infinite number of possible values with only two numbers! With the values $\\mu=22$ and $\\sigma^2=4$ I can compute the distribution of measurements for over any range."
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]
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},
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{
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"cell_type": "heading",
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"level": 2,
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"metadata": {},
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"source": [
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"The Variance"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"###### The Variance\n",
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"\n",
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"Since this is a probability density distribution it is required that the area under the curve always equals one. This should be intuitively clear - the area under the curve represents all possible occurences, which must sum to one. We can prove this ourselves with a bit of code. (If you are mathematically inclined, integrate the Gaussian equation from $-\\infty$ to $\\infty$)"
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]
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},
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