diff --git a/module2/exo1/toy_notebook_fr.ipynb b/module2/exo1/toy_notebook_fr.ipynb index 9f3dfdccbbe7c2a6d9a256bd959f3e8b67dbbc1a..49c9b403cbaae4cd356d811dbd4bf9badbe60f22 100644 --- a/module2/exo1/toy_notebook_fr.ipynb +++ b/module2/exo1/toy_notebook_fr.ipynb @@ -7,22 +7,75 @@ "# A propos du calcul de $\\pi$" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## En demandant à la lib maths" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Mon ordianteur m'indique que $\\pi$ vaut _approximativement_" + ] + }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[1] 10\n" + "3.141592653589793\n" ] } ], "source": [ - "x = 10\n", - "print(x)" + "from math import *\n", + "print(pi)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## En utilisant la méthode des aiguilles de Buffon" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Mais calculé avec la **méthode** des (aiguilles de Buffon)[https://fr.wikipedia.org/wiki/Aiguille_de_Buffon], on obitendrait comme **approximation** :" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.128911138923655" + ] + }, + "execution_count": 3, + "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)" ] }, {