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6fe417a114f34bcda6e186e0c8a18f64
mooc-rr
Commits
6b92c8f1
Commit
6b92c8f1
authored
Oct 01, 2023
by
6fe417a114f34bcda6e186e0c8a18f64
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toy_notebook_fr.ipynb
module2/exo1/toy_notebook_fr.ipynb
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module2/exo1/toy_notebook_fr.ipynb
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6b92c8f1
{
{
"cells": [],
"cells": [
{
"cell_type": "markdown",
"metadata": {
"hideCode": true,
"hidePrompt": true
},
"source": [
"# toy_notebook_fr"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": true,
"hidePrompt": true
},
"source": [
"date: \"`r Sys.Date()`\""
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": true,
"hidePrompt": true
},
"source": [
"## A propos du calcul de $\\pi$"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": true,
"hideOutput": true,
"hidePrompt": true
},
"source": [
"Mon ordinateur m'indique que $\\pi$ vaut *approximativement*\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"3.141592653589793\n"
]
}
],
"source": [
"from math import *\n",
"print(pi)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## En utilisant la methode des aiguilles de Buffon"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Mais calculé avec la **méthode** des aiguilles de Buffon, on obtiendrait comme **approximation :**"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2.0"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"np.random.seed(seed=42)\n",
"N=10000\n",
"x=np.random.uniform(size=N, low=0, high=1)\n",
"theta=np.random.uniform(size=N,low=0,high=pi/2)\n",
"2/(sum(x+np.sin(theta))>1/N)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"metadata": {
"hide_code_all_hidden": true,
"kernelspec": {
"kernelspec": {
"display_name": "Python 3",
"display_name": "Python 3",
"language": "python",
"language": "python",
...
@@ -16,10 +131,9 @@
...
@@ -16,10 +131,9 @@
"name": "python",
"name": "python",
"nbconvert_exporter": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"pygments_lexer": "ipython3",
"version": "3.6.
3
"
"version": "3.6.
4
"
}
}
},
},
"nbformat": 4,
"nbformat": 4,
"nbformat_minor": 2
"nbformat_minor": 2
}
}
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