From 31fe9c6453dece58f2f0a9922309c4238f1bb782 Mon Sep 17 00:00:00 2001
From: 62a87b5436d4e43d879f356d867ad95b
 <62a87b5436d4e43d879f356d867ad95b@app-learninglab.inria.fr>
Date: Thu, 7 May 2020 09:53:30 +0000
Subject: [PATCH] Add first code examples

---
 module2/exo1/toy_notebook_fr.ipynb | 79 ++++++++++++++++++++++++++----
 1 file changed, 69 insertions(+), 10 deletions(-)

diff --git a/module2/exo1/toy_notebook_fr.ipynb b/module2/exo1/toy_notebook_fr.ipynb
index adab5da..729098c 100644
--- a/module2/exo1/toy_notebook_fr.ipynb
+++ b/module2/exo1/toy_notebook_fr.ipynb
@@ -4,7 +4,62 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "# À propos du calcul de $\\pi$"
+    "# À propos du calcul de $\\pi$\n",
+    "\n",
+    "## En demandant à la lib maths\n",
+    "Mon ordinateur m’indique que $\\pi$ vaut *approximativement*"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "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 méthode des aiguilles de Buffon\n",
+    "\n",
+    "Mais calculé avec la **méthode** des [aiguilles de Buffon](https://fr.wikipedia.org/wiki/Aiguille_de_Buffon), on obtiendrait comme **approximation**:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "3.128911138923655"
+      ]
+     },
+     "execution_count": 4,
+     "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)"
    ]
   },
   {
@@ -17,17 +72,21 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "R",
-   "language": "R",
-   "name": "ir"
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
   },
   "language_info": {
-   "codemirror_mode": "r",
-   "file_extension": ".r",
-   "mimetype": "text/x-r-source",
-   "name": "R",
-   "pygments_lexer": "r",
-   "version": "3.4.1"
+   "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,
-- 
2.18.1