Commit ae517ab2 authored by cristobalcarreno's avatar cristobalcarreno

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"metadata": {}, "metadata": {},
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"## Buffon's needle\n", "## Buffon's needle\n",
"Applying the method of [Buffons needle](https://en.wikipedia.org/wiki/Buffon%27s_needle_problem), we get the __approximation__" "Applying the method of [Buffon's needle](https://en.wikipedia.org/wiki/Buffon%27s_needle_problem), we get the __approximation__"
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...@@ -76,9 +76,7 @@ ...@@ -76,9 +76,7 @@
"metadata": {}, "metadata": {},
"source": [ "source": [
"## Using a surface fraction argument\n", "## Using a surface fraction argument\n",
"A method that is easier to understand and does not make use of the sin function is based on the\n", "A method that is easier to understand and does not make use of the $\\sin$ function is based on the fact that if $X\\sim ∼ U(0, 1)$ and $Y\\sim ∼ U(0, 1)$, then $P[X^2 + Y^2 \\leq 1] = \\pi/4$ (see [\"Monte Carlo method\" on Wikipedia](https://en.wikipedia.org/wiki/Monte_Carlo_method)). The following code uses this approach:"
"fact that if $X ∼ U(0, 1)$ and $Y ∼ U(0, 1)$, then $P[X^2 + Y^2 ≤ 1] = \\pi/4$ (see [\"Monte Carlo method\"\n",
"on Wikipedia](https://en.wikipedia.org/wiki/Monte_Carlo_method)). The following code uses this approach:"
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{ {
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