diff --git a/module2/exo1/toy_notebook_fr.ipynb b/module2/exo1/toy_notebook_fr.ipynb index 0bbbe371b01e359e381e43239412d77bf53fb1fb..5d6158fd5cde8a39bc4be8a31b5225e12d363361 100644 --- a/module2/exo1/toy_notebook_fr.ipynb +++ b/module2/exo1/toy_notebook_fr.ipynb @@ -1,5 +1,135 @@ { - "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 $P[X^2+Y^2 \\leq 1] = \\frac{\\pi}{4}$ (voir [méthode de Monte Carlo sur Wikipédia](https://fr.wikipedia.org/wiki/M%C3%A9thode_de_Monte-Carlo#D%C3%A9termination_de_la_valeur_de_%CF%80)). Le code suivant illustre ce fait :" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "np.random.seed(seed=42)\n", + "N = 1000\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", + "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": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.112" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "4*np.mean(accept)" + ] + } + ], "metadata": { "kernelspec": { "display_name": "Python 3", @@ -16,10 +146,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 } - diff --git a/module2/exo2/exercice.ipynb b/module2/exo2/exercice.ipynb index 0bbbe371b01e359e381e43239412d77bf53fb1fb..938338972631f0fa5ef012e43b29d57cbaa7c273 100644 --- a/module2/exo2/exercice.ipynb +++ b/module2/exo2/exercice.ipynb @@ -1,5 +1,47 @@ { - "cells": [], + "cells": [ + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "14.113000000000001\n", + "4.334094455301447\n", + "2.8\n", + "23.4\n", + "14.5\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "donnees = [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]\n", + "\n", + "moyenne = np.mean(donnees, 0)\n", + "ecart_type = np.std(donnees, 0, ddof = 1)\n", + "minimum = np.min(donnees)\n", + "maximum = np.max(donnees)\n", + "mediane = np.median(donnees, 0)\n", + "print(moyenne)\n", + "print(ecart_type)\n", + "print(minimum)\n", + "print(maximum)\n", + "print(mediane)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], "metadata": { "kernelspec": { "display_name": "Python 3", @@ -16,10 +58,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 } - diff --git a/module2/exo3/exercice.ipynb b/module2/exo3/exercice.ipynb index 0bbbe371b01e359e381e43239412d77bf53fb1fb..817bb41665060aaa667a5056d917fa49b39160af 100644 --- a/module2/exo3/exercice.ipynb +++ b/module2/exo3/exercice.ipynb @@ -1,5 +1,67 @@ { - "cells": [], + "cells": [ + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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H2GfPnvl5uITx8OFD0yU4i9nK2LmTuUphn7UH52CJiIgE+DrApqWl+Xm4hFFeXm66BGcxWxkXLzJXKeyz9lhwgFVKnVVKPVZK3X3usR8opR4ppe7EPr62mIPZcg+eawKBgOkSnMVsZYyMMFcp7LP2WMxfsO8D+PMXPP7ftdYbYx+/XszBJiYmllIbLdLdu3cX/iZaFmYr4+BB5iqFfdYeCw6wWutrAIZ9qIWIiMgZK5mD/a5S6rexU8jZi3lCamrqCg5HL5OXl2e6BGcxWxl37jBXKeyz9ljuUol/A+CHiN4d/kMATQAOvugblVKHABwCgM997nNobm4GAKxbtw6ZmZlob28HAOTm5mLDhg2zexmmpKSgvr4eoVBodumvmpoaDA4Ozl6GXl5ejkAgMHtKJC8vD+vXr0dLSwuA6FxEXV0dbt26hfHxcQBAbW0t+vr68OjRIwBARUUFkpOT0dnZCQAoKChAWVkZWltbAQDp6emora1FW1vb7Cnuuro63L9/HwMDAwCAyspKzMzMoKurCwBQVFSE4uJitLW1AQAyMjJQU1OD1tZWhMNhAEB9fT26u7vx+PFjAEBVVRXC4TB6enoAACUlJcjPz0d8c4SsrCwEg0G0tLRgenoaALBt2zZ0dHRgaGgIjx8/RnV1NcbGxnDv3j0AQGlpKXJycmbXJs3OzkZ1dTWuXr0KrTWUUti+fTva29sxMjICAAgGgxgeHkZvby/bCcBXvvIVdHZ2rridDh48iMrKZgDAmTPVKC4ew+uvR9vp8uVSdHXl4M03o+3U05ONM2eqcerUVSQlaUQiCkePbsfhw+0oL4+203vvBVFRMYxdu6Lt9OGH69DXl4nDh6Pt1NmZi/ff3zC77+rkZAqOH6/HW2+F8NprpwE0o6mpBsHg4OwtMxcvlmNkJDB7+vbOnTxcuLAejY3RdhodDeDEiTocOXILhYXRdjp5shZbt/Zhy5ZoO50/X4GpqWTs3x9tp5s3C3DpUhkaGqLtNDSUjnfeqcXnPz+K06ejeZw4kYXdu3+HzZuj7XTuXCVSU2ewb1+0nW7cKML168U4dizaTv39GWhqqkFDQyuysqLtdPx4Pfbu7cbGjdF2Onu2CtnZYezZE22nK1dKEArl48iRaDs9eJCFd98NorGxBWlp0XY6enQbDhzoQGXlaTQ3N6/a36c1a9YAgJW/T16/7gHwrZ2WY1ErOSmlSgH8SmtdtZT/+6yKigodbwzyTnNzM3bs2GG6DCd5lS1Xcprr9OlmfP/7O2Jfma9nrtW9khNfD2T4tpKTUqrwuS/3AOCsOhER0XMWPEWslPoZgB0AXlVK9QH4awA7lFIbEX3b2Qvg8GIOlpTEdS0k8LJ8OcxWxugoc5XCPmsPbrhO5AOeIp6PffWs5lPEJMP6xf654boMvmmRw2xlxC82Iu+xz9rD1wGWG67LiF8pSN5jtjLiVyGT99hn7cFJUSIiIgHccN0BExMTSE9PN12Gk7zKlnOwc7366gQ+/TSeq/l65lrdc7B8PZBh/RwsN1yX0dfXZ7oEZzFbGVu3Mlcp7LP24IbrDoivzkLeY7Yy4is/kffYZ+3BOVgiIiIB3HDdARUVFaZLcBazlXH+PHOVwj5rD18HWG64LiM5Odl0Cc5itjKmppirFPZZe/g6wHLDdRnxHTHIe8xWRny3HfIe+6w9OAdLREQkwNcBlhuuyygoKDBdgrOYrYybN5mrFPZZe/g6wHKXBxllZWWmS3AWs5Vx6RJzlcI+aw9fB1iukSmjtbXVdAnOYrYyGhqYqxT2WXtwDpaIiEiArwMsN1yXwXVH5TBbGUNDzFUK+6w9uOE6kQ+42P987KtnNS/2TzKsX+z/yZMnfh4uYbS1tZkuwVnMVsbbbzNXKeyz9vB1gI1EIn4eLmFwAQ85zFZGbi5zlcI+aw9OihIREQnwdQ5206ZN+vbt274dL1GEw2HeYyzEq2w5BztXVlYYo6PxXM3XM9fqnoPl64EM6+dgw+Gwn4dLGPfv3zddgrOYrYzdu5mrFPZZe/g6wE5NTfl5uIQxMDBgugRnMVsZmzczVynss/bgHCwREZEAXwdY3gAto7Ky0nQJzmK2Ms6dY65S2Gft4esAu5ovHLDZzMyM6RKcxWxlpKYyVynss/bwdYCdnJz083AJo6ury3QJzmK2MvbtY65S2GftwTlYIiIiAb4OsGvWrPHzcAmjqKjIdAnOYrYybtxgrlLYZ+3h6wCbmprq5+ESRnFxsekSnMVsZVy/zlylsM/ag4v9O4CLe8thtjKOHWOuUthn7cE5WCIiIgG+DrDJycl+Hi5hZGRkmC7BWcxWRn8/c5XCPmsPbrhO5AMu9j8f++rhPfv0WdYv9s85WBmtra2mS3AWs5XR0MBcpbDP2oMbrjuAuxTJYbYysrKYqxT2WXvwIiciIiIB3HDdAdPT00hJSTFdhpO8ypZzsHOlpU1jcjKeq/l65lrdc7B8PZBh/RwsT13I6O7uNl2Cs5itjL17masU9ll7cMN1Bzx+/Nh0Cc5itjI2bmSuUthn7cE5WCIiIgHccN0BVVVVpktwFrOVcfYsc5XCPmsPbrjuAM5ty2G2MrKzmasU9ll7cMN1B/T09JguwVnMVsaePcxVCvusPTgHS0REJIAbrjugpKTEdAnOYrYyrlxhrlLYZ+3BDdcdkJ+fb7oEZzFbGaEQc5XCPmsPLvbvAO5QJIfZyjhyhLlKYZ+1B+dgiYiIBCw4wCqlziqlHiul7j73WI5S6jdKqZ7Yv9mLORg3XJeRlZVlugRnMVsZDx4wVynss/ZYcLF/pdQ2AOMA/k5rXRV77BSAYa31SaXUMQDZWuu/XOhg3HCdEhUX+5+PffXwnn36LJHF/rXW1wAMf+bhrwP4IPb5BwC+sZiDjY+PL6U2WqSWlhbTJTiL2cpobGSuUthn7bHcOdh8rXU/AMT+zVvMk/iuUMb09LTpEpzFbGWkpTFXKeyz9hDfNFApdQjAIQDIy8tDc3MzAGDdunXIzMxEe3s7ACA3NxcbNmzAtWvXooWlpKC+vh6hUAijo6MAgJqaGgwODuLhw4cAgPLycgQCAdy9G50ezsvLw/r162ffwQUCAdTV1eHWrVuzfz3X1tair68Pjx49AgBUVFQgOTkZnZ2dAICCggKUlZWhtbUVQHT95NraWrS1tWFiYgIAUFdXh/v372NgYAAAUFlZiZmZGXR1dQEAioqKUFxcjLa2NgBARkYGampq0NraOruMWX19Pbq7u2d3vqiqqkI4HJ5dhaWkpAT5+fmzVwRmZWUhGAyipaVl9hdo27Zt6OjowPj4OJqbm1FdXY2xsTHcu3cPAFBaWoqcnByEQiEAQHZ2Nqqrq3H16lVoraGUwvbt29He3o6RkREAQDAYxPDwMHp7e9lOiL4p7OzsXHE7HTx4EJWVzQCAM2eqUVw8htdfj7bT5cul6OrKwZtvRtuppycbZ85U49Spq0hK0ohEFI4e3Y7Dh9tRXh5tp/feC6KiYhi7dkXb6cMP16GvLxOHD0fbqbMzF++/vwGnTkXbaXIyBceP1+Ott0J47bXTAJrR1FSDYHAQO3dG2+nixXKMjARw8GC0ne7cycOFC+tn/9ocHQ3gxIk6HDlyC4WF0XY6ebIWW7f2YcuWaDudP1+Bqalk7N8fbaebNwtw6VIZGhqi7TQ0lI533qlFQcETnD4dzePEiSzs3v07bN4cbadz5yqRmjqDffui7XTjRhGuXy/GsWPRdurvz0BTUw0aGlqRlRVtp+PH67F3b/fsLj1nz1YhOzs8u2LUlSslCIXyZ69efvAgC+++G0RjY8vsYH/06DYcONCBysrTq/r3KX63ho2/T16+7g0NDQGAb+20HIvacF0pVQrgV8/NwXYB2KG17ldKFQJo1lpXLPRzOAcrIxKJICmJF4RL8CpbzsHOlZQUQSQSz9V8PXOt7jlYvh7I8HPD9V8CeCP2+RsAfrGYJ8XfCZG3Ojo6TJfgLGYr48AB5iqFfdYei7lN52cAWgFUKKX6lFL/BcBJAF9VSvUA+Grs6wVxbkBG/FQJeY/ZyqisZK5S2GftseAcrNb6Wy/5rz/zuBYiIiJn+Hqifu3atX4eLmFUV1ebLsFZzFbGmTPMVQr7rD18HWBnZmb8PFzCGBsbM12Cs5itjOJi5iqFfdYevg6w8Uu1yVvxy9PJe8xWRvwWJfIe+6w9eC03ERGRAF8H2EAg4OfhEkZpaanpEpzFbGVcvlxqugRnsc/aw9cBlrvpyMjJyTFdgrOYrYyuLuYqhX3WHr4OsE+fPvXzcAkjviQY/UlBQSmUUiv++OlPf+rJz6G54stC2ingSZt78VFQULrk6vl6YA/xtYiJTBgc/ATeLL/X7NHP4SC7eoRhy9KNg4PsN6uZr3/BpqRwPJeQnb2o/e5pGXp6mK0E5iqHrwf2WNRi/17hYv/kF7sW1wfsWtDeploA1jOf1b3xgEv8XOx/WXgDtIyrV6+aLsFZp04xWwnMVQ5fD+zB+2AdwHe4cpKSmK0E5iqHrwf24ADrAF6lKicSYbYSmKscvh7Yg3Ow5CTOwc7HploA1jMfzsHawvo5WG64LqO9vd10Cc46fJjZSmCucvh6YA9fB1huuC5jZGTEdAnOKi9nthKYqxy+HtiDc7BEREQCuOG6A4LBoOkSnPXee8xWAnOVw9cDe3DDdQcMDw+bLsFZFRXMVgJzXaylr4v8zW9+06q1kRMZN1x3QG9vr+kSnLVrV6/pEpzEXBcrvi7y4j927Xp7yc9Z7Ed0jW9aLM7BEhERCeCG6w5Yt26d6RKc9eGHzFYCc5XDbO3BDdcdkJmZaboEZ/X1MVsJzFUOs7UHN1x3AG8sl8MFEWQwVznM1h6cgyUiIhLADdcdkJuba7oEZ3V2MlsJzFUOs7UHF/t3QCQSQVIST0Y8z6vF/pOSIohEvMjWrgXkTdcyN1fz9cxlUz1Lr8W7Pvsiibv5gPWL/XPDdRnXrl0zXYKzTp1ithKYqxxmaw/+2UNERCTA1wGWGwHL4Ny2nMlJZiuBucphtvbgHCw5iRuuz8emWgDWMx+bagE4B2vxHCzvg5URCoVMl+Cst95ithKYqxxmaw/upuOA0dFR0yU467XXmK0E5iqH2dqDFzkREREJ8HUONhgMap7O9N74+DgyMjJMl2EVr+ZgCwvH0d/vRbY2zaWZr2VurubrmcumepZei3d99kU4B7uU5/j6F+zU1JSfh0sYg4ODpktwVjDIbCUwVznM1h6+DrDPnj3z83AJ4+HDh6ZLcNbOncxWAnOVw2ztwTlYIiIiAb4OsGlpaX4eLmGUl5ebLsFZFy8yWwnMVQ6ztQdXcnJAIBAwXYKzRkaYrQTmKofZ2sPXAXZiYsLPwyWMu3fvmi7BWQcPMlsJzFUOs7UH52CJiIgE+DrApqam+nm4hJGXl2e6BGfducNsJTBXOczWHr4uNLFp0yZ9+/Zt346XKKanp7mjzmd4tdBEWtq0R7uTrO7FC7w2N1fz9cxlUz1Lr8W7PvsiXGhiKc/x9S/Y8fFxPw+XMFpaWkyX4KzGRmYrgbnKYbb24BwsERGRAF8H2KQkjucSeJuOnNFRZiuBucphtvbghuvkJG64Ph+bagFYz3xsqgXgHKzFc7DccF0G37TIOXKE2UpgrnKYrT1WdKmZUqoXwBiAGQDTC43u3HBdBi8ek1NYyGwlMFc5zNYeXlzLvVNr/akHP4eIiMgZK5qDjf0FW7PYAZYbrsuYmJhAenq66TKs4tUc7KuvTuDTT73I1qa5NPO1zM3VfD1z2VTP0mvxrs++COdgl/Kclf4FqwFcVkppAGe01j95QVGHABwCgIKCAjQ3NwMA1q1bh8zMTLS3twMAcnNzsWHDBly7di1aWEoK6uvrEQqFMDo6CgCoqanB4ODg7P6n5eXlCAQCs2vx5uXlYf369bP3hQYCAdTV1eHWrVuzp1Fra2vR19eHR48eAQAqKiqQnJyMzs5OxGssKytDa2srACA9PR21tbVoa2ubXUu5rq4O9+/fx8DAAACgsrISMzMz6OrqAgAUFRWhuLgYbW1tAICMjAzU1NSgtbUV4XAYAFBfX4/u7m48fvwYAFBVVYVwOIyenh4AQElJCfLz82fnV7OyshBeKBXjAAALV0lEQVQMBtHS0oLp6WkAwLZt29DR0YE//OEPCAQCqK6uxtjYGO7duwcAKC0tRU5ODuJvarKzs1FdXY2rV69Caw2lFLZv34729naMjIwAAILBIIaHh9Hb27vkdmppuYGpqWdoampCMBjEzp07AQAXL17EyMgIDh48CAC4c+cOLly4gMbGRgDA6OgoTpw4gSNHjqCwsBAAcPLkSWzduhVbtmwBAJw/fx5TU1PYv38/AODmzZu4dOkSGhoaAABDQ0N455138PbbbyM3NxenT5/GiRNh7N59H5s3R9vp3LlKpKbOYN++aDvduFGE69eLcexYtJ36+zPQ1FSDhoZWZGVF26mtrRCBwAw2boy209mzVcjODmPPnmg7XblSglAof3be68GDLLz7bhCNjS1IS4u209Gj23DgwEFUVkb7/pkz1SguHsPrr0fb6fLlUnR15eDNN6Pt1NOTjTNnqnHq1FUkJWlEIgpHj27H4cPtKC+PttN77wVRUTGMXbui7fThh+vQ15eJw4ej7dTZmYv339+AU6ei7TQ5mYLjx+vx1lshvPbaaQDNaGqqQTA4OLt/6MWL5RgZCcyuZXvnTh4uXFg/e1/l6GgAJ07U4ciRW7OnIU+erMXWrX3YsuVRrJ0qMDWVjP37O2PtVIBLl8rQ0NAaa6d0vPNOLRoaWvHsWfQSkBMnsrB79+9W1E7Hj9dj795uD9qpA5WV0XzMt9MogNNoahpfUjulp0/jO9/5D56009tvtyE3dyLWTnXYvXvf7Gu46de9oaEhAPDtdW9ZtNbL/gDwudi/eQDaAWyb7/vXr1+vyXtXrlwxXYLWWmsAGtCWfHhTy+nTV6yqx5Va5uZqvh7b8llJLd712RfXk6gA3NJ6aWPkiq4i1lr/IfbvYwAXAXx5JT+PiIjIFcseYJVSryilMuOfA9gFYN59krjhuoyKigrTJTjr/HlmK4G5ymG29ljJHGw+gIuxTdRTAPyD1vr/zvcEbrguIzk52XQJzpqaYrYSmKscZmuPZf8Fq7W+p7Wujn1s0Fr/aKHncMN1GfELtMh78YtAyFvMVQ6ztQcXByYiIhLADdcdUFBQYLoEZ928yWwlMFc5zNYevg6w3PVFRllZmekSnHXpErOVwFzlMFt7cMN1B8QXxSDvxW+8J28xVznM1h6cgyUiIhLADdcdwHWI5QwNMVsJzFUOs7UHN1xfgoKCUgwOfmK6jFn5+Z/HwECv6TJm2bXJuU21AHbVY1MtAOuZj021AEAagLDpIgD4//pn/YbrT5488fNwnosOrtqaj/hgH19cm7z39tvMVgJzlSObbRimX/c++/pnM18H2Egk4ufhEgYX8JAT30mEvMVc5TBbe3BSlIiISICvc7CbNm3St2/f9u14XrNrjhGIb34cDoetuMfYrny8qSUrK4zRUS+ydS+blZibq/l65rKpnqXX4l2ffRG7svFz/LJ+Dja+6S556/79+6ZLcNbu3cxWAnOVw2zt4esAOzU15efhEsbAwIDpEpy1eTOzlcBc5TBbe3AOloiISICvAywXRJBRWVlpugRnnTvHbCUwVznM1h6+DrB+TkgnkpmZGdMlOCs1ldlKYK5ymK09fB1gJycn/Txcwujq6jJdgrP27WO2EpirHGZrD87BrmoBKKVw+/ZtKKWMfxAR0Z/4OsCuWbPGz8MlgOiyZTdu/CeYXrbMnnvjvHXjRpHpEpzEXOUwW3v4OsCmpqb6ebiEcf16sekSnMVsZTBXOczWHlzs3wHHjnHhdCnMVgZzlcNs7cE5WCIiIgG+DrDJycl+Hi5h9PdnmC7BWcxWBnOVw2ztwQ3Xl8CuxewBuxbeBuyqx6ZaALvqsakWgPXMx6ZaALvq4WL/c3AOVkZDQ6vpEpzFbGUwVznM1h7ccN0BWVncpUgKs5XBXOUwW3vwIiciIiIB3HB9CWydg01Lm8bkZIrpYmDb/IwXtXiXrXvZrMTcXM3XM5dN9Sy9FtnXA7uy4Rzsc7jhuoy9e7tNl+AsZiuDucphtvbghusO2LjxsekSnMVsZTBXOczWHpyDJSIiEsAN1x1w9myV6RKcxWxlMFc5zNYe3HDdAdnZnNuWwmxlMFc5zNYe3HDdAXv29JguwVnMVgZzlcNs7cE5WCIiIgHccN0BV66UmC7BWcxWBnOVw2ztwQ3XHRAK5ZsuwVnMVgZzlcNs7cHF/h1w5Mjq3aHIdsxWBnOVw2ztwTlYIiIiAdxw3QEPHmSZLsFZzFYGc5XDbO3BDdeXwNbF/u1hUz021QLYVY9NtQCsZz421QLYVQ8X+59jfHzcz8MljMbGFtMlOIvZymCucpitPbiSkwPS0qZNl+AsZiuDucphtvbgRU5EREQCOAe7BLbOwSYlRRCJ2PBeyaZ8vKnFu2zdy2Yl5uZqvp65bKpn6bXIvh7YlQ3nYJ8zMTHh5+ESxoEDHaZLcBazlcFc5TBbe/g6wE5Pc25AQmXlkOkSnMVsZTBXOczWHjacVyQiInLOigZYpdSfK6W6lFL/opQ6ttD3r127diWHo5c4c6badAnOYrYymKscZmuPZQ+wSqlkAP8TwG4AlQC+pZSqnO85MzMzyz0czaO4eMx0Cc5itjKYqxxma4+V/AX7ZQD/orW+p7V+BuB/Afj6fE8Ih8MrOBy9zOuv3zNdgrOYrQzmKofZ2mMlA2wRgIfPfd0Xe4yIiCjhLfs+WKXUNwH8R631f419/W0AX9Zav/mZ7zsE4FDsyyoAd5dfLr3EqwA+NV2Eo5itDOYqh9nKqNBaZy7lCSkrOFgfgJLnvi4G8IfPfpPW+icAfgIASqlbS71RlxbGXOUwWxnMVQ6zlaGUWvIqSSs5RXwTQLlSqkwptQbAfwbwyxX8PCIiImcs+y9YrfW0Uuq7AP4JQDKAs1prLiFCRESElZ0ihtb61wB+vYSn/GQlx6OXYq5ymK0M5iqH2cpYcq6+LvZPRESUKLhUIhERkQBfBtilLqlIi6eU6lVKfaSUurOcq9woSil1Vin1WCl197nHcpRSv1FK9cT+zTZZ42r1kmx/oJR6FOu3d5RSXzNZ42qklCpRSl1RSn2slOpQSn0v9jj77QrMk+uS+6z4KeLYkordAL6K6K09NwF8S2vdKXrgBKGU6gVQo7XmfW8roJTaBmAcwN9pratij50CMKy1Phl7Y5ittf5Lk3WuRi/J9gcAxrXWp03WtpoppQoBFGqtQ0qpTAC3AXwDwAGw3y7bPLn+BZbYZ/34C3bJSyoS+U1rfQ3A8Gce/jqAD2Kff4DoLxkt0UuypRXSWvdrrUOxz8cAfIzoanrstyswT65L5scAyyUVZWkAl5VSt2OrZpF38rXW/UD0lw5AnuF6XPNdpdRvY6eQeRpzBZRSpQC+BKAN7Lee+UyuwBL7rB8DrHrBY7x02TtbtNZBRHc1+k7sdByR7f4GwBcAbATQD6DJbDmrl1IqA8A/AvhvWutR0/W44gW5LrnP+jHALmpJRVoerfUfYv8+BnAR0VPy5I3B2HxMfF7mseF6nKG1HtRaz2itIwB+CvbbZVFKpSI6CPy91vrnsYfZb1foRbkup8/6McBySUUhSqlXYpPwUEq9AmAXuJmCl34J4I3Y528A+IXBWpwSHwBi9oD9dsmUUgrA3wL4WGv94+f+i/12BV6W63L6rC8LTcQuZ/4f+NOSij8SP2gCUEqtQ/SvViC6Ktc/MNvlUUr9DMAORHciGQTw1wD+D4D/DeA1AA8AfFNrzYt1lugl2e5A9FSbBtAL4HB83pAWRylVD+A6gI8ARGIP/xWi84Xst8s0T67fwhL7LFdyIiIiEsCVnIiIiARwgCUiIhLAAZaIiEgAB1giIiIBHGCJiIgEcIAlIiISwAGWiIhIAAdYIiIiAf8fYETjleTHTKAAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "donnees = [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]\n", + "\n", + "\n", + "fig = plt.figure()\n", + "a1 = fig.add_axes([0,0,1,1])\n", + "a1.plot(donnees)\n", + "a1.set_ylim(0,25)\n", + "a1.set_xlim(0,100)\n", + "plt.grid(True, which='both', linestyle='--')\n", + "plt.show()\n", + "\n", + "fig2 = plt.figure()\n", + "a2 = fig2.add_axes([0,0,1,1])\n", + "a2.hist(donnees,color = 'blue', edgecolor = 'black')\n", + "a2.set_ylim(0,25)\n", + "a2.set_xlim(0,25)\n", + "plt.grid(True, which='both', linestyle='--')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], "metadata": { "kernelspec": { "display_name": "Python 3", @@ -16,10 +78,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 } - diff --git a/module2/exo5/exo5_fr.ipynb b/module2/exo5/exo5_fr.ipynb index 26ad6d94fa840f788a57621b06dc6af83a848391..00894067f0c51f8db5a62bf8df1f6ba29eb0dc21 100644 --- a/module2/exo5/exo5_fr.ipynb +++ b/module2/exo5/exo5_fr.ipynb @@ -705,7 +705,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.6.4" } }, "nbformat": 4, diff --git a/module3/exo1/analyse-syndrome-grippal.ipynb b/module3/exo1/analyse-syndrome-grippal.ipynb index 59d72b5b58a3ae26346460dd39e62a39c55243d7..5d227e6558b634bbf59a5361a4eb20aa89b2bcc3 100644 --- a/module3/exo1/analyse-syndrome-grippal.ipynb +++ b/module3/exo1/analyse-syndrome-grippal.ipynb @@ -9,7 +9,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -28,15 +28,26 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 2, + "metadata": {}, "outputs": [], "source": [ "data_url = \"http://www.sentiweb.fr/datasets/incidence-PAY-3.csv\"" ] }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "import urllib\n", + "csv_file = \"fichier_symptomes_gripaux.csv\"\n", + "if not os.path.exists(csv_file):\n", + " urllib.request.urlretrieve(data_url, csv_file)" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -65,7 +76,9 @@ "metadata": {}, "outputs": [], "source": [ - "raw_data = pd.read_csv(data_url, skiprows=1)\n", + "csv_file = \"fichier_symptomes_gripaux.csv\"\n", + "if os.path.exist(csv_file):\n", + "raw_data = pd.read_csv(csv_file, skiprows=1) \n", "raw_data" ] }, @@ -153,9 +166,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": true - }, + "metadata": {}, "outputs": [], "source": [ "sorted_data = data.set_index('period').sort_index()" @@ -253,9 +264,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": true - }, + "metadata": {}, "outputs": [], "source": [ "first_august_week = [pd.Period(pd.Timestamp(y, 8, 1), 'W')\n", @@ -341,9 +350,7 @@ { "cell_type": "code", "execution_count": null, - "metadata": { - "collapsed": true - }, + "metadata": {}, "outputs": [], "source": [] } @@ -364,7 +371,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.1" + "version": "3.6.4" } }, "nbformat": 4, diff --git a/module3/exo1/fichier_symptomes_gripaux.csv b/module3/exo1/fichier_symptomes_gripaux.csv new file mode 100644 index 0000000000000000000000000000000000000000..d5f08658fd8c3039043219ae46276f79d8a3015a --- /dev/null +++ b/module3/exo1/fichier_symptomes_gripaux.csv @@ -0,0 +1,1885 @@ +# @source="réseau Sentinelles, INSERM, Sorbonne Université, http://www.sentiweb.fr", @meta={"period":[198444,202048],"geo":["PAY","1"],"geo_ref":"insee","indicator":"3","type":"all","conf_int":true,"compact":false}, @date=2020-12-04T16:53:44+01:00 +week,indicator,inc,inc_low,inc_up,inc100,inc100_low,inc100_up,geo_insee,geo_name +202048,3,29410,23486,35334,45,36,54,FR,France +202047,3,19180,15348,23012,29,23,35,FR,France +202046,3,24801,20503,29099,38,31,45,FR,France +202045,3,42516,36857,48175,65,56,74,FR,France +202044,3,44567,38521,50613,68,59,77,FR,France +202043,3,43737,37523,49951,66,57,75,FR,France 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