ajouter d'un paragraphe manquant

parent 215d1667
...@@ -41,7 +41,6 @@ ...@@ -41,7 +41,6 @@
] ]
}, },
{ {
"attachments": {},
"cell_type": "markdown", "cell_type": "markdown",
"metadata": {}, "metadata": {},
"source": [ "source": [
...@@ -50,14 +49,37 @@ ...@@ -50,14 +49,37 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 9, "execution_count": 13,
"metadata": { "metadata": {
"hideCode": true "hideCode": false
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"outputs": [], "outputs": [
{
"data": {
"text/plain": [
"3.128911138923655"
]
},
"execution_count": 13,
"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": "markdown",
"metadata": {},
"source": [ "source": [
"\n", "## Avec un argument \"fréquentiel\" de surface\n",
"import numpy as np" "Sinon, une méthode plus simple à comprendre et ne faisant pas intervenir d’appel à la fonction sinus se base sur le fait que si $X∼U(0,1)$ et $Y∼U(0,1)$ alors $P[X2+Y2 \\leq 1]=\\pi/4$ (voir [méthode de Monte Carlo sur Wikipedia](https://fr.wikipedia.org/wiki/Méthode_de_Monte-Carlo#Détermination_de_la_valeur_de_π)). Le code suivant illustre ce fait :"
] ]
}, },
{ {
......
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