{"cells": [{"cell_type": "markdown", "id": "8c3ed275", "metadata": {}, "source": ["# Volume d'une sph\u00e8re\n", "\n", "On consid\u00e8re un nuage de points $(x, y)$ dans un plan 2D. Les variables $x$ et $y$ sont ind\u00e9pendantes et uniform\u00e9ment reparties entre -1 et 1.\n", "\n", "1. En utilisant la fonction ``np.random.rand``, cr\u00e9er un nuage de $M$ points et tracer \n", "ce nuage. On pourra prendre $M=1000$\n", "\n", "2. Tracer dans une autre couleur les points dans un cercle de rayon 1. \n", "\n", "3. En prenant $M$ assez grand (par exemple $10^8$), calculer la probabilit\u00e9 d'\u00eatre dans le cercle. En d\u00e9duire une estimation de la surface d'un disque de rayon 1. \n", "\n", "4. M\u00eame question que la question 3, mais dans un espace de dimension $N$. Par exemple $N=5$. On \u00e9crira une fonction."]}], "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": "3.8.8"}, "varInspector": {"cols": {"lenName": 16, "lenType": 16, "lenVar": 40}, "kernels_config": {"python": {"delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())"}, "r": {"delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) "}}, "types_to_exclude": ["module", "function", "builtin_function_or_method", "instance", "_Feature"], "window_display": false}}, "nbformat": 4, "nbformat_minor": 5}