{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# toy_notebook_fr" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# March 28, 2019" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**1. A propos du calcul de π**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**1.1. En demandant à la lib maths**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mon ordianteur m'indique que π vaut *approxiamtivement*" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.141592653589793\n" ] } ], "source": [ " from math import *\n", " print(pi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "3.141592653589793" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**1.2.En utilisant la méthode des aiguilles de Buffon**" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "ename": "SyntaxError", "evalue": "invalid syntax (, line 1)", "output_type": "error", "traceback": [ "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m1\u001b[0m\n\u001b[0;31m Mais calculé avec la **méthode** des http://aiguillesdeBuffon.com , on obtiendrait comme **approximation** :\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" ] } ], "source": [ "Mais calculé avec la **méthode** des http://aiguillesdeBuffon.com , on obtiendrait comme **approximation** :" ] }, { "cell_type": "raw", "metadata": {}, "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)\n", " " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }