diff --git a/module2/exo1/toy_notebook_fr.ipynb b/module2/exo1/toy_notebook_fr.ipynb index 0bbbe371b01e359e381e43239412d77bf53fb1fb..97cbcc0a62f2534cd270debe60b1ae22b30e4922 100644 --- a/module2/exo1/toy_notebook_fr.ipynb +++ b/module2/exo1/toy_notebook_fr.ipynb @@ -1,6 +1,121 @@ { - "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": { + "hide_code_all_hidden": true, "kernelspec": { "display_name": "Python 3", "language": "python", @@ -16,10 +131,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 } -