From 6b92c8f113f423c26890e0e574ae50176a3c88b5 Mon Sep 17 00:00:00 2001
From: 6fe417a114f34bcda6e186e0c8a18f64
 <6fe417a114f34bcda6e186e0c8a18f64@app-learninglab.inria.fr>
Date: Sun, 1 Oct 2023 16:14:18 +0000
Subject: [PATCH] no commit message

---
 module2/exo1/toy_notebook_fr.ipynb | 120 ++++++++++++++++++++++++++++-
 1 file changed, 117 insertions(+), 3 deletions(-)

diff --git a/module2/exo1/toy_notebook_fr.ipynb b/module2/exo1/toy_notebook_fr.ipynb
index 0bbbe37..97cbcc0 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
 }
-
-- 
2.18.1