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Kees van Kempen
2022-09-20 12:19:15 +02:00
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Exercise sheet 2/exercise_sheet_02.ipynb
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@ -891,7 +891,7 @@
"$$\n", "$$\n",
"p := F_R(r) = 1-e^{-r^2/2} \\implies r = \\sqrt{-2\\ln{(1-p)}}\n", "p := F_R(r) = 1-e^{-r^2/2} \\implies r = \\sqrt{-2\\ln{(1-p)}}\n",
"$$\n", "$$\n",
"for $p \\in [0, 1]$. Do note that we can also calculated $r = \\sqrt{-2\\ln{(p)}}$ as $p$ and $1 - p$ are identically distributed, also keeping the argument to $\\ln$ positive, saving just one calculation." "for $p \\in [0, 1]$. Do note that we can also calculate $r = \\sqrt{-2\\ln{(p)}}$ as $p$ and $1 - p$ are identically distributed, also keeping the argument to $\\ln$ positive, saving just one calculation, although I do not use this in the following."
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{ {