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Add first code examples

parent d487e6a5
...@@ -4,7 +4,62 @@ ...@@ -4,7 +4,62 @@
"cell_type": "markdown", "cell_type": "markdown",
"metadata": {}, "metadata": {},
"source": [ "source": [
"# À propos du calcul de $\\pi$" "# À propos du calcul de $\\pi$\n",
"\n",
"## En demandant à la lib maths\n",
"Mon ordinateur m’indique que $\\pi$ vaut *approximativement*"
]
},
{
"cell_type": "code",
"execution_count": 1,
"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 méthode des aiguilles de Buffon\n",
"\n",
"Mais calculé avec la **méthode** des [aiguilles de Buffon](https://fr.wikipedia.org/wiki/Aiguille_de_Buffon), on obtiendrait comme **approximation**:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3.128911138923655"
]
},
"execution_count": 4,
"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)"
] ]
}, },
{ {
...@@ -17,17 +72,21 @@ ...@@ -17,17 +72,21 @@
], ],
"metadata": { "metadata": {
"kernelspec": { "kernelspec": {
"display_name": "R", "display_name": "Python 3",
"language": "R", "language": "python",
"name": "ir" "name": "python3"
}, },
"language_info": { "language_info": {
"codemirror_mode": "r", "codemirror_mode": {
"file_extension": ".r", "name": "ipython",
"mimetype": "text/x-r-source", "version": 3
"name": "R", },
"pygments_lexer": "r", "file_extension": ".py",
"version": "3.4.1" "mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.4"
} }
}, },
"nbformat": 4, "nbformat": 4,
......
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