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Commits (6)
# Partie 1 # Partie 1
## Suos-partie1 : texte ## Sous-partie 1 : texte
Une phrase sans rien Une phrase sans rien
_Une phrase en italique_ _Une phrase en italique_
**Une phrase en gras** **Une phrase en gras**
Un lien vers [fun_mooc.fr](https://www.fun-mooc.fr) Un lien vers [fun_mooc.fr](https://www.fun-mooc.fr)
Une ligne de `code` Une ligne de `code`
## Soyus-partie 2 : listes ## Sous-partie 2 : listes
Liste à puce Liste à puce
* item * item
* sous-item * sous-item
...@@ -19,7 +23,7 @@ Liste numérotée ...@@ -19,7 +23,7 @@ Liste numérotée
2. item 2. item
3. item 3. item
# Spous-partie 3 : code # Sous-partie 3 : code
``` ```
# Extrait de Code # Extrait de Code
``` ```
......
{ {
"cells": [], "cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 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",
"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": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3.128911138923655"
]
},
"execution_count": 5,
"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": "markdown",
"metadata": {},
"source": [
"## Avec un argument \"fréquentiel\" de surface\n",
"Sinon, une méthode plus simple à comprendre et ne faisant pas intervenir d'appel à la fonction sinus se base sur le fait que si $X \\sim U(0,1)$ et $Y \\sim U(0,1)$ alors $P[X^2 + Y^2 \\le 1] = \\pi/4$ (voir [méthode MOnte Carlo sur Wikipedia](https://fr.wikipedia.org/wiki/M%C3%A9thode_de_Monte-Carlo#D%C3%A9termination_de_la_valeur_de_%CF%80). Le code soivant illustre ce fait :"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"\n",
"np.random.seed(seed=42)\n",
"N = 10000\n",
"x = np.random.uniform(size=N, low=0, high=1)\n",
"y = np.random.uniform(size=N, low=0, high=1)\n",
"accept = (x*x+y*y) <= 1\n",
"reject = np.logical_not(accept)\n",
"\n",
"fig, ax = plt.subplots(1)\n",
"ax.scatter(x[accept], y[accept], c='b', alpha=0.2, edgecolor=None)\n",
"ax.scatter(x[reject], y[reject], c='r', alpha=0.2, edgecolor=None)\n",
"ax.set_aspect('equal')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Il est alors aisé d'obtenir une approximation (pas terrible) de $\\pi$ en comptant combien de fois, en moyenne, $X^2+Y^2$ est inférieur à 1 :"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3.1556"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"4*np.mean(accept)"
]
}
],
"metadata": { "metadata": {
"kernelspec": { "kernelspec": {
"display_name": "Python 3", "display_name": "Python 3",
...@@ -16,10 +148,9 @@ ...@@ -16,10 +148,9 @@
"name": "python", "name": "python",
"nbconvert_exporter": "python", "nbconvert_exporter": "python",
"pygments_lexer": "ipython3", "pygments_lexer": "ipython3",
"version": "3.6.3" "version": "3.6.4"
} }
}, },
"nbformat": 4, "nbformat": 4,
"nbformat_minor": 2 "nbformat_minor": 2
} }
{ {
"cells": [], "cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"data = 14.0, 7.6, 11.2, 12.8, 12.5, 9.9, 14.9, 9.4, 16.9, 10.2, 14.9, 18.1, 7.3, 9.8, 10.9,12.2, 9.9, 2.9, 2.8, 15.4, 15.7, 9.7, 13.1, 13.2, 12.3, 11.7, 16.0, 12.4, 17.9, 12.2, 16.2, 18.7, 8.9, 11.9, 12.1, 14.6, 12.1, 4.7, 3.9, 16.9, 16.8, 11.3, 14.4, 15.7, 14.0, 13.6, 18.0, 13.6, 19.9, 13.7, 17.0, 20.5, 9.9, 12.5, 13.2, 16.1, 13.5, 6.3, 6.4, 17.6, 19.1, 12.8, 15.5, 16.3, 15.2, 14.6, 19.1, 14.4, 21.4, 15.1, 19.6, 21.7, 11.3, 15.0, 14.3, 16.8, 14.0, 6.8, 8.2, 19.9, 20.4, 14.6, 16.4, 18.7, 16.8, 15.8, 20.4, 15.8, 22.4, 16.2, 20.3, 23.4, 12.1, 15.5, 15.4, 18.4, 15.7, 10.2, 8.9, 21.0"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"14.113000000000001"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.average(data)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2.8"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.min(data)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"23.4"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.max(data)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"14.5"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.median(data)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"4.334094455301447"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.std(data, ddof=1)"
]
}
],
"metadata": { "metadata": {
"kernelspec": { "kernelspec": {
"display_name": "Python 3", "display_name": "Python 3",
...@@ -16,10 +135,9 @@ ...@@ -16,10 +135,9 @@
"name": "python", "name": "python",
"nbconvert_exporter": "python", "nbconvert_exporter": "python",
"pygments_lexer": "ipython3", "pygments_lexer": "ipython3",
"version": "3.6.3" "version": "3.6.4"
} }
}, },
"nbformat": 4, "nbformat": 4,
"nbformat_minor": 2 "nbformat_minor": 2
} }
{ {
"cells": [], "cells": [
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"data = 14.0, 7.6, 11.2, 12.8, 12.5, 9.9, 14.9, 9.4, 16.9, 10.2, 14.9, 18.1, 7.3, 9.8, 10.9,12.2, 9.9, 2.9, 2.8, 15.4, 15.7, 9.7, 13.1, 13.2, 12.3, 11.7, 16.0, 12.4, 17.9, 12.2, 16.2, 18.7, 8.9, 11.9, 12.1, 14.6, 12.1, 4.7, 3.9, 16.9, 16.8, 11.3, 14.4, 15.7, 14.0, 13.6, 18.0, 13.6, 19.9, 13.7, 17.0, 20.5, 9.9, 12.5, 13.2, 16.1, 13.5, 6.3, 6.4, 17.6, 19.1, 12.8, 15.5, 16.3, 15.2, 14.6, 19.1, 14.4, 21.4, 15.1, 19.6, 21.7, 11.3, 15.0, 14.3, 16.8, 14.0, 6.8, 8.2, 19.9, 20.4, 14.6, 16.4, 18.7, 16.8, 15.8, 20.4, 15.8, 22.4, 16.2, 20.3, 23.4, 12.1, 15.5, 15.4, 18.4, 15.7, 10.2, 8.9, 21.0"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f1024b597b8>]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.set_xlim(0, 100)\n",
"ax.set_ylim(0, 25)\n",
"ax.grid(True)\n",
"plt.plot(data)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([ 4., 3., 5., 9., 16., 20., 22., 9., 8., 4.]),\n",
" array([ 2.8 , 4.86, 6.92, 8.98, 11.04, 13.1 , 15.16, 17.22, 19.28,\n",
" 21.34, 23.4 ]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD8CAYAAACMwORRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAADaFJREFUeJzt3W+IXXV+x/H3141FccRVdjakqZK2yFBJqK3BFixlhsXF6gMVuktDkYTdZXywFkvzoMEnG1iEUDa2T0ppRNkUXMuAscq6tBVxNrtQyhoJnbhhdNkO1hgmBLPqgFBivn0wJ71jTHLn/p/5zvsF4d577jn39+WX3/3Muef+zrmRmUiSarlm1AVIkvrPcJekggx3SSrIcJekggx3SSrIcJekgtqGe0TcGhGvR8TJiHgrIh5vlu+PiFMRcbz5d//gy5UkrUa0m+ceEVuALZn5ZkTcCBwDHgK+Dixl5vcGX6YkqROb2q2QmaeB0839jyPiJLB10IVJkrrXds/9MytHbAOOAtuBvwL2AB8BbwB7M/PcZbaZBqYBrrvuurtuu+22Xmsu4cKFC1xzjV95gH2xkn3RYl+0vP3222czc7yTbVYd7hExBvwYeDIzj0TEZuAskMB3WT50842rvcbExETOz893Ul9Zs7OzTE5OjrqMNcG+aLEvWuyLlog4lpk7O9lmVX8WI+Ja4AXgucw8ApCZi5n5aWZeAJ4G7u60YEnSYKxmtkwAzwAnM/OpFcu3rFjtYeBE/8uTJHWj7ReqwD3AI8BcRBxvlj0B7IqIO1k+LLMAPDqQCiVJHVvNbJmfAnGZp37U/3IkSf3gV9GSVJDhLkkFGe6SVJDhLkkFGe6SVJDhLkkFGe6SVJDhLkkFGe6SVJDhLkkFGe6SVJDhLkkFGe6SVJDhLkkFGe6SVJDhLkkFGe6SVJDhLkkFGe6SVJDhLkkFtf2BbEnDt23fK0Ntb+HAA0NtT4PnnrskFWS4S1JBhrskFWS4S1JBhrskFWS4S1JBhrskFWS4S1JBhrskFWS4S1JBhrskFWS4S1JBhrskFWS4S1JBbcM9Im6NiNcj4mREvBURjzfLb4mIVyPineb25sGXK0lajdXsuZ8H9mbm7wB/CHw7Iu4A9gGvZebtwGvNY0nSGtA23DPzdGa+2dz/GDgJbAUeBA43qx0GHhpUkZKkzkRmrn7liG3AUWA78G5mfnHFc+cy83OHZiJiGpgGGB8fv2tmZqbHkmtYWlpibGxs1GWsCeuhL+ZOfTiUdjZfD4ufDKWpz9ix9abhN9rGehgXwzI1NXUsM3d2ss2qwz0ixoAfA09m5pGI+NVqwn2liYmJnJ+f76S+smZnZ5mcnBx1GWvCeuiLYf3s3d4d5zk4N/xfv1yLP7O3HsbFsEREx+G+qtkyEXEt8ALwXGYeaRYvRsSW5vktwJlOGpYkDc5qZssE8AxwMjOfWvHUy8Du5v5u4KX+lydJ6sZqPv/dAzwCzEXE8WbZE8ABYCYivgm8C3xtMCVKkjrVNtwz86dAXOHpr/S3HElSP3iGqiQVZLhLUkGGuyQVZLhLUkGGuyQVZLhLUkGGuyQVZLhLUkGGuyQVZLhLUkGGuyQVZLhLUkGGuyQVZLhLUkGGuyQVZLhLUkGGuyQVZLhLUkGGuyQVZLhLUkGGuyQVZLhLUkGGuyQVZLhLUkGGuyQVZLhLUkGGuyQVZLhLUkGGuyQVtGnUBUjd2rbvlVGXIK1Z7rlLUkGGuyQVZLhLUkGGuyQV1DbcI+LZiDgTESdWLNsfEaci4njz7/7BlilJ6sRq9ty/D9x3meV/m5l3Nv9+1N+yJEm9aBvumXkU+GAItUiS+iQys/1KEduAH2bm9ubxfmAP8BHwBrA3M89dYdtpYBpgfHz8rpmZmT6Uvf4tLS0xNjY26jLWhG77Yu7UhwOoZrQ2Xw+Lnwy/3R1bbxp+o234HmmZmpo6lpk7O9mm23DfDJwFEvgusCUzv9HudSYmJnJ+fr6T+sqanZ1lcnJy1GWsCd32RcWTmPbuOM/BueGfW7hw4IGht9mO75GWiOg43LuaLZOZi5n5aWZeAJ4G7u7mdSRJg9FVuEfElhUPHwZOXGldSdLwtf38FxHPA5PAlyLiPeA7wGRE3MnyYZkF4NEB1ihJ6lDbcM/MXZdZ/MwAapEk9YlnqEpSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQW3DPSKejYgzEXFixbJbIuLViHinub15sGVKkjqxmj337wP3XbJsH/BaZt4OvNY8liStEW3DPTOPAh9csvhB4HBz/zDwUJ/rkiT1IDKz/UoR24AfZub25vGvMvOLK54/l5mXPTQTEdPANMD4+PhdMzMzfSh7/VtaWmJsbGzUZawJ3fbF3KkPB1DNaG2+HhY/GX67O7beNPxG2/A90jI1NXUsM3d2ss2mQRVzUWYeAg4BTExM5OTk5KCbXBdmZ2exL5Z12xd79r3S/2JGbO+O8xycG/jb8nMW/nxy6G2243ukN93OllmMiC0Aze2Z/pUkSepVt+H+MrC7ub8beKk/5UiS+mE1UyGfB/4DmIiI9yLim8AB4N6IeAe4t3ksSVoj2h7cy8xdV3jqK32uRZLUJ56hKkkFGe6SVJDhLkkFDX9Crcra1uW88707zpecs76edPt/142FAw8Mra2NzD13SSrIcJekggx3SSrIcJekggx3SSrIcJekggx3SSrIee6Shmq1c+r7df7DRp1X7567JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQZt62TgiFoCPgU+B85m5sx9FSZJ601O4N6Yy82wfXkeS1CcelpGkgiIzu9844r+Bc0AC/5iZhy6zzjQwDTA+Pn7XzMxM1+1VsrS0xNjY2MDbmTv14cDb6NXm62Hxk1FXsTbYFy396osdW2/q/UVGbGpq6linh717Dfdfz8z3I+LLwKvAX2Tm0SutPzExkfPz8123V8ns7CyTk5MDb2fbvlcG3kav9u44z8G5fhwhXP/si5Z+9cXCgQf6UM1oRUTH4d7TYZnMfL+5PQO8CNzdy+tJkvqj63CPiBsi4saL94GvAif6VZgkqXu9fObZDLwYERdf5weZ+a99qUqS1JOuwz0zfwn8bh9rkST1iVMhJakgw12SCjLcJamgDT+hdtjzwCvMuZXWk2G+x9fS+9s9d0kqyHCXpIIMd0kqyHCXpIIMd0kqyHCXpIIMd0kqyHCXpII2/ElMw3bxhIq9O86zZx38kIak9ck9d0kqyHCXpIIMd0kqyHCXpIIMd0kqyHCXpIIMd0kqyHCXpIIMd0kqyHCXpIIMd0kqyHCXpIIMd0kqyHCXpIIMd0kqyHCXpIIMd0kqyHCXpIIMd0kqyHCXpIIMd0kqyHCXpIJ6CveIuC8i5iPiFxGxr19FSZJ603W4R8QXgL8H/gS4A9gVEXf0qzBJUvd62XO/G/hFZv4yM/8X+Gfgwf6UJUnqRWRmdxtG/ClwX2Z+q3n8CPAHmfnYJetNA9PNw+3Aie7LLeVLwNlRF7FG2Bct9kWLfdEykZk3drLBph4ai8ss+9xfisw8BBwCiIg3MnNnD22WYV+02Bct9kWLfdESEW90uk0vh2XeA25d8fg3gPd7eD1JUp/0Eu4/A26PiN+MiF8D/gx4uT9lSZJ60fVhmcw8HxGPAf8GfAF4NjPfarPZoW7bK8i+aLEvWuyLFvuipeO+6PoLVUnS2uUZqpJUkOEuSQUNJdy9TMFnRcRCRMxFxPFupjitZxHxbESciYgTK5bdEhGvRsQ7ze3No6xxWK7QF/sj4lQzNo5HxP2jrHEYIuLWiHg9Ik5GxFsR8XizfMONi6v0RcfjYuDH3JvLFLwN3Mvy9MmfAbsy8+cDbXgNi4gFYGdmbrgTNCLij4El4J8yc3uz7G+ADzLzQPPH/+bM/OtR1jkMV+iL/cBSZn5vlLUNU0RsAbZk5psRcSNwDHgI2MMGGxdX6Yuv0+G4GMaeu5cp0P/LzKPAB5csfhA43Nw/zPJgLu8KfbHhZObpzHyzuf8xcBLYygYcF1fpi44NI9y3Av+z4vF7dFlsIQn8e0Qcay7PsNFtzszTsDy4gS+PuJ5Reywi/qs5bFP+UMRKEbEN+D3gP9ng4+KSvoAOx8Uwwn1VlynYYO7JzN9n+Yqa324+nksA/wD8NnAncBo4ONpyhicixoAXgL/MzI9GXc8oXaYvOh4Xwwh3L1Nwicx8v7k9A7zI8qGrjWyxOdZ48ZjjmRHXMzKZuZiZn2bmBeBpNsjYiIhrWQ6z5zLzSLN4Q46Ly/VFN+NiGOHuZQpWiIgbmi9KiIgbgK/ilTJfBnY393cDL42wlpG6GGaNh9kAYyMiAngGOJmZT614asONiyv1RTfjYihnqDbTdv6O1mUKnhx4o2tURPwWy3vrsHz5hx9spP6IiOeBSZYv57oIfAf4F2AGuA14F/haZpb/ovEKfTHJ8kfvBBaARy8ed64qIv4I+AkwB1xoFj/B8rHmDTUurtIXu+hwXHj5AUkqyDNUJakgw12SCjLcJakgw12SCjLcJakgw12SCjLcJamg/wMKYtZs5x8tPQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.set_xlim(0, 25)\n",
"ax.set_ylim(0, 25)\n",
"ax.grid(True)\n",
"plt.hist(data)"
]
}
],
"metadata": { "metadata": {
"kernelspec": { "kernelspec": {
"display_name": "Python 3", "display_name": "Python 3",
...@@ -16,10 +110,9 @@ ...@@ -16,10 +110,9 @@
"name": "python", "name": "python",
"nbconvert_exporter": "python", "nbconvert_exporter": "python",
"pygments_lexer": "ipython3", "pygments_lexer": "ipython3",
"version": "3.6.3" "version": "3.6.4"
} }
}, },
"nbformat": 4, "nbformat": 4,
"nbformat_minor": 2 "nbformat_minor": 2
} }