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dca34f41fee2efa24adbe57b0fcf3009
mooc-rr
Commits
368bcb47
Commit
368bcb47
authored
Jun 07, 2020
by
dca34f41fee2efa24adbe57b0fcf3009
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3rd attempt
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toy_notebook_en.ipynb
module2/exo1/toy_notebook_en.ipynb
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module2/exo1/toy_notebook_en.ipynb
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368bcb47
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<center>toy_notebook_en</center>\n",
"\n",
"<br>\n",
"<center>March 28, 2019</center>"
]
},
{
"cell_type": "markdown",
"metadata": {},
...
...
@@ -22,8 +12,6 @@
"metadata": {},
"source": [
"## Asking the maths library\n",
"\n",
"\n",
"My computer tells me that $\\pi$ is *approximately*"
]
},
...
...
@@ -49,13 +37,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"## Buffon’s needle"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Buffon’s needle\n",
"Applying the method of [Buffons needle](https://en.wikipedia.org/wiki/Buffon%27s_needle_problem), we get the **approximation**"
]
},
...
...
@@ -88,13 +70,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"## Using a surface fraction argument"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 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",
"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\"\n",
"on Wikipedia](https://en.wikipedia.org/wiki/Monte_Carlo_method)). The following code uses this approach:"
...
...
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