{ "metadata": { "name": "", "signature": "sha256:9811c40348dc0a50cbd26abe6b371f54d305aeecd806d34aff6d700e173069f9" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "TP 3 -- Informatique CM3 -- Octobre 2014 " ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Python @ Polytech'Lille" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Le texte de cette sessions de travaux pratiques est \u00e9galement disponible ici\n", "http://nbviewer.ipython.org/github/ecalzavarini/python-at-polytech-lille/blob/master/Python-TP3-2014.ipynb" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nous vous rappelons que les modalit\u00e9s pour accomplir ce TP :\n", "\n", "Vous aurez \u00e0 \u00e9crire plusieurs scripts (script1.py , script2.py , ...). Les scripts doivent \u00eatre accompagn\u00e9s par un document descriptif unique (README.txt). Dans ce fichier, vous devrez d\u00e9crire le mode de fonctionnement des scripts et, si besoin, mettre vos commentaires. Merci d'y \u00e9crire aussi vos noms et prenoms complets.\n", "Tous les fichiers doivent etre mis dans un dossier appel\u00e9 TP1-nom1-nom2 et ensuite \u00eatre compress\u00e9s dans un fichier archive TP1-nom1-nom2.tgz .\n", "Enfin vous allez envoyer ce fichier par email \u00e0 l'enseignant: soit Enrico (enrico.calzavarini@polytech-lille.fr) ou Stefano (stefano.berti@polytech-lille.fr).\n", "\n", "Vous avez une semaine de temps pour compl\u00e9ter le TP, c'est-\u00e0-dire que la date limite pour envoyer vos travaux c'est le jour avant le TP suivant." ] }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Tracer le graphique d'un champ vectoriel en deux dimensions" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline \n", "\n", "import matplotlib.pylab as plt\n", "import numpy as np\n", "from math import *\n", "\n", "x = np.arange(0,2*pi,0.2)\n", "y = np.arange(0,2*pi,0.2)\n", "\n", "# np.meshgrid, produit une matrices de coordonn\u00e9es \u00e0 partir de deux vecteurs. \n", "X,Y = np.meshgrid(x,y) \n", "\n", "#d\u00e9finition du champ vectoriel\n", "U = np.sin(Y)*np.cos(Y)\n", "V = -np.cos(X)*np.sin(X)\n", "\n", "C = ( U**2. + V**2. )**.5 # calcul du module du vecteur\n", "\n", "plt.figure( figsize=(10,10) ) # taille de la figure : 10 x 10 pouces\n", "\n", "plt.quiver( X, Y, U, V , C , scale = 20.) #trace le graphyque du champ vectoriel\n", "\n", "plt.axis([0, 2*pi, 0, 2*pi])\n", "plt.axes().set_aspect(1)\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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jbolaIkQlWUwGIIVGHMtNURmiGD/H1aYNvrfeoGLQAMI7zZumuk86mbJ+ffA+\neD+qrHmd7H9LfjdTFIeLeoconyTECsJsqvrKgYMkHCbriAXrIsecO6HRSdD+cvOgJJj4ABzdHU64\nyExjyYOw6W3YMw9OfdWo3o2XBQSJlAJI53wa8TxOGwb0iKdla2jVFgaeBvfeBGVmPXrcrVuT0L8/\n3nHjyOvUCd8XX0Qv4nTC/Clw7/mw20Y/piMAIYrI4wb+wdlcRiZ1bYgJKiZD5Wxw1YfAWrNu5yE/\nBDzw3RtQshP6G1ZT37e5ZfpjkJgOZxj2WcyfAktPh7LvocObRhX9t/IFYQJ05CrO4nUa2Z2xP1wJ\nBuDLN8HvtS2VeNsdBGd8SelxnfGNfhOTzUzO2rVJuPRyfKOeo/TEYwkuNLyp+24SlB2C8hWHEYdl\n7zM/kR0WcZxKJt8STz8zoV1zYEIfyFkIvV8y73s27w1Y+yVsnA2DnzGbDpdg0ziYdz006gVJZne0\nJYzHSTqNeYXGvIjrSE1srsiHBa9BwP4gxS33Rh7HvQk9OsC06tfR+Cmpt90GgJWTQ+GgQVS8YtAA\n9op7YclMuKQjvPYIeO3XsKqJOHBwHKeSbifPcB+BNRCqapviSIWkvmYtgbKXw2e3wqyR0PN2qH20\nWTwL34T10+Hbt2DACEgwvOkpmAH+PYATtj0ZSbaOgjB+vOTRlzdoz6VR54XWKOLiwVMCN7eFr8eY\nNWytIn7wEBwNG0J5Od5bbqL87LOw8vOj1km49XYArC1bKD/jdDz33IWCUdYKq9UYbm0FE54En422\nIocRh50pEkH8fEoyD5HONFx2qovmLABvXuT53DuhstBMZ+aL8MYQaH0KNDWsUlqyAXxVF37eIihc\nFbVEiHwsfBzNV6QzyCyOmkJqvUjjxMeOjlR+9ZUf/JwD0b0nnFB1B1ywF/L2gDd6s5XQvz+uli3B\n4cDdpg3JV10VfSy16sGQWyJ3pmP/CRe3h6+jLB9h2VhqPhLxRJaHSDoTjloCCZ3MdHZ9B8vGgbco\ncuNUHF1vuR/ZPBveOBeSMqHxMZHluGgJFERmiADST4AOr4Eruo0hTuI4jltINl2SrGkMvD1yc/vq\n9XDnsbBkqlFRTkd8PIl/u/nHrxNvugVnveiXR92dO+M+s6rtUEoKiTffGv1mj7YnwTF9Yfzf4dbW\n8NWbEIq+COvhxGFnisKsJY2xJPOw2ZLZPiTI/ibyvHZ7GPgJJEXfeoLKMsjdFJmRyFoIC98xiydn\nXuQxLhWSeye3AAAgAElEQVQGTIejo9+R4iCOpowhjoZmMdQ0zhkJCKbcD4+1gK+egEqDfB6HIzJb\n1LI1JKfAdwsgMfqtvg6nk5Rbb6X2hAlYJSUUXXopChsYlL/eBwlVPz8pFbqdGd35lg8WXwVZb0DA\nRuXsIwXPZMi4AxrPAJfBGLGPnYv3P3e4ILOZmc6OpZHxy1MIa6eCyyD3r2gWoMgW/K6zIT76D91o\nSnwcESQkw6XDI893rYdRl8GMN82kbvgb7jPOJG7QeXhuvYnw1q1GOom33UH8NdfirFsXz3VXI59B\nM9rLn4ykcpTkwps3wStDIWCjqe2fnMPuqnZzPPGcbl+obDtU5EC94+CSeZDW1Exn5/L9zy8eBf3u\nMdPZMw8S68DA2dAkyg+5Klxkxgaqn5KUCYOeiTz3FsHiMZA1z0xr4EXw9KswdgJMmQD/NNvtk3rL\nLSRddBF1Jk/GP3s2ZQ88EL1InQZw0U3QZwjkbIsso0VzR+pOgbZ3wfI74LNG8O3lkX5pinW0/3+E\nciHjNqj3UqQzuB12VZmiM/8RyScyWWYvz4ei7ZHnZz8CA58w0ymYAc3uhGM/iXqGqMaR/w7sGQU+\ns1YgP+Osa6Fx28jzhGToeJqRjLNBA1L/+wGp776Ps3FjKi4chFUafT5j3IBzSX7iKVInTyO0dg2e\nm26IPkepSTvoU7Xpx+mE7udDfBQ3hbJg78tQMg2sQ5DO8Fvza+WuD3ZETj9MWfeu9EEPqbLYns6X\nz0rXI8143lzDsqSJ3aSi9fZiqQlYYck/XQpttdVq4EfCYelfJ0n3p0p3u6QlNts7SNJ//yPVQXp3\ntC0Zz7hx2g2qGDs2+pPzc6SCXGnWRKm7U3rFoN3Ehuel8ew/Fl8jhWy0pamJHIprUJLK9kgPIM18\nzJ7O2s+l25Cm/cNebHs+thdHTSLsk9aeIi1GWtlO2nGfVDrPvBXHgk+kSc9L9/eUrqwv7bDXwiq0\nY4eKmjRQ2bn9ZQXN24P4p3+hwninvE89Gf3JhdnSMxdKo2+ThrikBVG2pfFlSSvqSMsSpc0DpLx/\nS77t0cdxCOAgbT6OXFO06WPJX25f541L7BkiSfKXSWU77MdSUwh8K+WnSfm1peJ+UsUjkm+SFDbs\nLbZjqbToP9Jnw6Q7keb8y36MTzws1XdJs2fYkikZNky74+PlW7jQXGTK21JXpHeeju48KyzN6Vdl\nihzSuicj/xbj0LNusjT3Gfs6X4yQPh9uXyfGzwnkScubR4zRYqQVLaXS+WZaliV5yyVPqXR/D+mq\nBtJOeze8wcWLVJiSoIq777SlU/nyiyp0I//ECdGfXF4UeW2mxqhsvrQsTvqeyLGui1S5Kfo4bBIz\nRb81yyb+0RHUTPYZo71EjsI2UnCzuV6o6g5r5jMRYzTtYXt32uGwdMOlUvM0ad1qYxkrFFLBuecq\np359BXfYMMbv/ytijD59M7rzvHukz5pJ65+VPnRJ886NNJOtBiEVya8sBbRbIRUorApZVY1XY/wP\n5fabZUqSfrBhnmP8Op7V0pLUiClakiztedn+TYKnVBp2csQY7dpgS8o3/gMVulHlW28Ya1iWpYqb\n/6bCtCQFv19qKmJujAre2W+KVreUymabxWCDg5miX20IezBMG8LGiFEtgoug9GxQ1c6xhIsh+Ulw\nt7Gnu/ht+OgGOPl6uPg1o3pQAPh8MKQv7NwOX30HDc12QlplZeT36IEjLo66CxfiTDHcYv3Go/D2\nE/DkeOj7l+qfV7YJ0ttB/gJYeAm44uGUCVC766/HjY9CnqKUt3/273G0ogkf4Y7tSorxOyEswpQR\npJgQRSTTARcGuVLFUyF/LCR1gJxnIK0ntBwDiTbGHE8pjDgb8nfAE3OgaXtjKe+IR/E9/U/SvphB\n3L6dZVGiYJDygecQ3riBjG+X4GwSfRVzJBhzB8x4He56H06JYrzJfhhCBRDcA6XToO6N0PTZqAui\nChHGQ5BCXCQRT/1qnXewhrAxUxTjNyNAIWWsJUQZDU1LBAQXQcUdkPwQeB6C8FZIvAFSHgWnjV12\naybDuEuh00C48n1wG7bxKCqEc3pASipMmQ+pqUYyoR9+IL97d+LPOIPaH3+Mw2mQMC/B83fAp2/C\nqCnQs3/0Gr48WHR5xCCd8BK0+ttBE3k9zGEv9xImUlLCTTPSGUwqg4jHpoGNEeMAVLKNnTyDl42E\nKIGqrga16EsrRpn3UvPvhIRm4FkGP1wN/h+g6ZPQ8A6z+lRQZYz6Qf5OeHJuJHnZAFkWnisuJTjz\na9IXfoerbVsjHau4mLJTT8aRmkr67Pk4TG7ETI2RLPBnQUIbKB4PO+8AZyI0ewMyBx7wtDCVZDOa\nMpYRpJAghVj4cJPJMXwUM0Ux/nx42EopyyljDWWswUc2AE34C3XohZt04sjATTpOEqo/aIV3gKs5\nKAS+t8E7AqxSSL4Xku4Dp2GByqy5MPo8aNYNrpsMidVvmvsztmZB/5Oh68nw7mRwm+1S8s+ZQ0G/\nfqQ9/DDpI0eaxWJZMPwqmPMp/PtrOPYUA40wrB0B65+A5ldAtzcjO9Z+hRAF7GUYXuaQwV+p4AvC\n5BNPe1IZRCrnEU+LaofgI4cQpaTSIfr4YxwxhPGSx3vs4e2ftTOKpxEpdCGFzlWPHc1mjqwA5DwJ\nOf+ElG7Q8m1IMpzpqSiB4X2hMLvKGJkZGnm9lJ3ZC5WVkr5gMc7aZgVKw1u2UHbKSbh7n0Hqh5+Y\n34iZzhjtI7gXdt0BxR9B7cvhqJfA/csV6C2C5DOF3bxJkP0FLeOoSwodSaUDKXQkhQ7E88tlJg5m\nimzv397JO7bOD2sZ3vClhLXeXiD+cvj6PgjYrPBbVACvPRv5cLETzvLleD75xF4sAJ++AxtX29MI\nlMM3d4HfrEUFQJi9lPMixdx6wO+Jpw7Cwsu2Hw0RQDYfsZpbWM5f+Y5BLKQXWTxT/R/uah55dLgh\n6UaonQUpf4fKl8A32vQlQevecNtcyNsA2xeZ67RsDf/9DNavgV2GBfmAhDPOIPOVV/B9+SXy+81E\nnE4YPha694GZhtef0wXHPA6nfw57psPeuQc9xU1dGvE29XiM2gyjBUtpzIck0pUSxrCLs7E4eG2T\nCjaxib+zjAspZy15TGUHr7GJh1jJX8niSbPXtA/LC4WPQsVn9nQkmPoU5G+3JxMK4X/mSeSxVy04\nnJtLxYsvGrWE+BnLZ8K3U+xphCth493g2VztU8pZSDkLI6dTQSmzyOZxtjAYceBigS6SacyNHMPn\n1OcyHLhpzt+px0VY+MnlHTZxDRu40uy1OOOh6UjotDRy7eweYaYDkJoJI7+C2o1hifn150hOJu3T\nz0AivGL5wU84AK42bUj95FPCq1ainBzDYBxw3ctw9s3w9VtGxSqJqw8tP4RWk6F8DhS8fcBvdRJH\nAwZzHJ9xFHfgIo3a9KUhl+MknnymsYk7WU4/KjEbi23PFJVrI6lUbyowrE24HO2QRJh5+K3nCDMT\nJ8eQ6HwFt+Nks0DKc+DDgVC2C66cA/U7m+lUeuGSPpCXA18ug9pm/ZLCubnkdOtGXJs2NJg508yB\nA3w5Ae68BO75J/ztQTONsm3w+XngzYXzvoJ6xx/0lDAFeBhDGvcTYCEe3qGSaThIJplLyeDxgxbO\nrGALeUxlLzNow8Ok05kQZQQpJUQZ8dQjze4sgFUIjmRwJNnT8XvMWyX8lEAA4u23OlAwGH3l2f8X\niz/SesBOB3aIFHeMz7QlIYIEyCLhAH9vIUpZSjbjKOG7n/2fgzgSaUIizUiiKWkcS10Mcikk8E6F\n/DshnA91X4SM601eTuSG6b07YdZrcOtH0H2IkYwkfHfdSvDdsaTMXojreLNGqvL5KDjjDMK5udRf\nuRJnhmGz2tXz4aH+cPoQeOBdM42ylbDmcvBnQ5fxUG/Ar357kHz28DQlTCOT8wiQjZdVQIhE2pPG\nKdTnZlxUbxbXxw4sAiRXLdsKESCHEMWkYPi5sA8rCJYH3PbeD/grI3V+bL43FQjgOBTjzaHQkSDo\nj65+0S8RKgZXKjiqN/6FKKOMpdT+yZgQpAQPG8mg+y/W7fvTLJ+F9A2V1lASnS8RsJ4lzBJcnEqC\ncxguzsZheoHsXQvjB4A7ES6bDrVbmemEw3DjEFg0FyYvhLYdjWTk95NbNUA1WrIEV13DRpTfzYVr\nz4aLr4Ph/zZ7A2XPhS+HQEoTGPAZpLc46CkBVlHEUCLdoxIIkUUcJ5DC1SRxAc4op6AtgvjJIwnD\n4pgxajwVbKSAr6lkB5XswMcuRIiGDKYl95tXrg9sgPgOEPwB8u8A7xeQ+heo+zy4Da9HKwxjb4IF\n78BN78NJl5jpAP5XX8I/7C6S3vuYuMEXG2lIonjoUHyTJlFv0SLiOht+8G/4Du4/C044C/7xMbij\nNOWyYMeLsOUhyOgGnf8LyQfu7SYsiviYPTyPRWQjhYtM0jmDVHqSSk/i7DTxjRHjABzMFP0uW/ID\n1iSVhtJUGopXaShentD5ClqHYGvp1pnSM+nS2FMkT4G5jmVJD98qtYiXFs2zIWMp/+qrtT01Vf61\na83jWb9SOj5dum2wFDLc4rzmNek1t/TFhdWux+TRJ9qtJtqtOtqtOirQX+XXSrOfHyOGIZaC8mqn\nivSt+Rb/8k+lXT2kgkelrARpe3vJM9NeYKGg9PoV0jXx0rLJtqQC06aoNMkh3zMGhfR+QtnTT2u3\nwyHv1KnmIluWS+dnSg/2l/y+6p/n3S75C6TKbGnpWdJXLinrMSn86wUGgyrWTj2o9TpD63Sq1qq7\n1ug4rdMpqtQP5q8jRoxqwB9dp8gffkOloYQfDVFZqIPC1lbzVxQKRB5XviM94ZYmXCIFK831JOm1\nZ6XGSFM+siVTMmqUtjkc8kyZYi6yc6vUs6F0RS/JF+Xrylsa+f3MuUl6Fem74dWqs2EpqBL940cz\ntFsNlKPOKtBVCusQFLg8QrEsS6V2ag/FMMM7N2KEtiBlpUhFz0qWzUrdQb/08mDp2kRp9Ze2pEIr\nV6i0Toq81w+VZaNWlvezz7Tb4VDZc8+ZB7NtrXRhHem+MyWft/rnhSqlRSdKm4ZJs2tL81tKxYvM\n46jC0iGqIH6YEay0+RlWRcgfq0h/MA5min6z5TNJ+PU4Qb2Lk7Y4HW1x0Qanoy1OOuN0NIr+B+au\nhB3zwFcC80dAj2HQ52lw2MgXnzwebr0cho+CGw37lgHe6dPZO3AgmU88QeZDD5mJFO6FS0+BpBR4\nfx6kRZEbsG0qLB0BcWmwdwn0GQetqzclH2IrIXbgogFO6uOk9hHfQy37889Ja92a9HZmW2f3seDh\nh/EVF9Nj+HBSGsYa9f7m+FdB9ulglUW+djeDBu9BkkEPKinS6Nnhglcvhg1z4O6p0PEM4/CsnBw8\np5+Es2Urkqd9ZZzLEVy9mvyePUm65BIyx4wxSz/YvRnuPh2atIanvow0F64u626E7KpNDo2uhA7/\nBrfh7s0Y5C1ZwprXX+ekkSNJa2bYKBhY98Yb+EtK6HLHHcQlH+E97Q7AH5ZTJAWBAA7HIUhghcha\n/tsnQ8F6CPmg/6vQ9WZ7mgvnwBVnw9BbYMQLxolvwY0byTnpJJIHDqTue++ZDVCeCrjqDCgugA+/\nhfpRmEZfIYzvHEmmTsiE82dXK6E6xoHxZmcztUMHmg0ZQpfhw0lt3txIp7KwkDEtW6JwmK7330/X\ne+8lLsqaIGGPh4K33qLO0KG4DbffHhEEt8LuUyLJsEmnQ9IZkSPhWLP6MsunQF4WrPkSshbDfdOh\nrUGJgyrk8eDp1wvKykieuwhnnTpGOuG9e8nv1g1Xs2bUnTkTR0IUNbbCYdizFVxuuOd0qNUQnp0J\nqVHcgGW/Deuu2/91rdPhuEkQd+Rdm7Is8400/8PnF13Eji++4Ng77uDEBx8k0eC9HvR6Gd8mkmTe\ndeRI2l99Nc4oS4RIMs/xPQz4zbfkH/gHxx06QwSw9FXY8z0EvZDRLHKYYFmwcW3kuP5C6HcePDrK\n2BCFi4vJO+884tq1o85//hP9xfTVp1BSBLcPht3bYcyM6AwRwDd3RAwRQLACdn1ltjWyJmCzlMI+\nkps0of1dd7F17FimtmnD0ttvpzI3N2qdpDp16DpsGEGPh0XDh/N269asGT0aRRGnKyUFJNY2b87u\n++4jYLp9tiYjgX8lNJoMLYug8TSodS8knmBmiEIB+PC+yLHte3hwlrEhUiiELIvK667E2raVpE+n\nGRsi+f0UXXQROBzUnjgxOkMEMPcjGH0/DOsD6XXg6RnRGaKy5bDhFnDXgibXwYlfwYmzjkhDBKCS\nEkqvuw7/11/bLofQ48knsYJBlj/3HO+2asWyZ58lVFkZlUZccjJdR47Ek5PDvBtu4KMuXdg2eXLU\nsVU+NoLAxAkoFIrqvBrBr62tHezg9+p9VrJTejpVegzpX42kBU9J3iIzra+nShedLp3YVDr/FMkb\nxTr6T/DOmiWrslJ7+vbVzkaNFNy9O3qRcFg6u710Vmvp2BRp1ZLoNbImRvKH3m4kfTdCqsiOXqMm\n8cMm6fbLpK+nSDY6SktSoLxcExo21Hug90CzBwxQZX5+1Dr+8nK9Xr++RoFezczU3tXR90qzAgGt\n69xZy0DL4+O148Yb5cvKilonRjWZ8ZJ0JZHjplrS3DFGMlZxsSofGqbKh+9XaVqcgvPnGun4ly1T\nYNUqFQ0dquzUVAUMriGFgtJVbaQ+SBfUknKjzHcL+6SskVL+F1I4lruyj8qPPlIuKL9TJ3nefFOW\nx2OsNev66/Uy6GXQrBtuUHl29ON5OBjUB+3b6zXQa6CVo0YpUFERlUYoK0uF6ckqPvooeZ99WuHC\n6vVDPBzgj060to1lSR8Okl7vJK0cKwWj2B3xS1x4WiSpukW89O1c46agOSefrOxu3bQ9IUG+774z\ni2XGRKkNkeOSHtL3C6I735svfXmJtOXj/QnoMaRx/5aaIZ3YUHrqASlro7HUltGjI6bI4dDiG2+U\nFTZrELn8pZf0fvfuejUzUxP69jVKrCz/5hstAy0DraxVS4Xjx0eXqFuSJ1UUR/1zjzgqiqSba0cM\n0YOdpKUTjccJ30ujVJrqVmki8r871jikoquv1p7mzSM7zUw3ckx/O2KI+iD1j5fGDY/cmMWwhWVZ\nKr7gAuWCckF5tWurYtQooyT68t279e/ERL3bpo3GNGqkoo1mY9fWSZM0OjVVb9etq0mnn65AefQb\nZipfflGFbiJHWpIqbv6brLIyo3j+TBz+pqh4u7Rlur2O5vv4/tuIIWqMdHSC9OLjkkG2vm/ZMm0D\nbQNld+8u72yDTr+WJV14YsQQtXNKj98hlZVEp3GQra9HLJYlXTsoYoyaIbVwSu+8aiQVDoU097zz\ntGPiRH0QF6dvhw5V2KBMQtDnU/bChdqzdKlezcjQxP79FfRFb/C3DR2qlRkZWgbadddd0Zk0f6X0\nj97SI6dJE5+Stq06NO+rmsb790j3tZa+fV8KG5YEkGQFgypr21yliag0EXkuPFdWSZTvcUmh/Hzt\nTkjQblBOgwYqf+WV6D9wA37pihYRQzRyiJR9hM8yhsOH9EYylJ2tvIyMiCnKzFTQxizu2tGj5Ssu\n1kfduxsbI8uytOa111SwapWxMbJCIZWe1vNHY+R7d1y0QUT3/b8Th78pOpRcd2HEEF3aV9q6xVgm\n/9prfzRFeRdeqFBubvQi38zYP0O0foVxLDEOQMHeyExRM6QutaR5M4ylglVTz7umTtUH8fH65rLL\nFLaxNJezeLFeSUvTpIEDo95CG8jL056nnlLhe+9pmdutrZddpnA0GqX50s0tpYuIHNc3kd65N/Kh\nGUOqLJcW/Dey1GSTwKSJPxoi743XyCoyW/Ive+op7QbtBhUMGqSQwZKKprwu3dxVWv2NUQw1DsuS\nZjwuvXSqNPk+aeUEqdggBeIneMeMUX6HDspv21Z7GzdW4Pvvben5iov1YbduEWO0aZOxjh1jFNqw\nQYWpiSrt10eFyfHyvfff6p/sq5DGXy+9d5X0zb+lHUsjpS3+YGKmaB9ZG6XjG0mTPrDlYEOFhdqe\nmKgdtWqp/P33zeuM3D5E+mRMbPp6HwGvtOgxackz0uYJUt5yyRf9XfXPmP+VdGFP6ZZLpOYO6aXH\nbP++c2bM0PjERM0bPNhWTZDshQv1cmqqPrvgAoUC0d2x7psdKp0xQytSUrT5rLMUimZae9cG6crM\n/cZobhQDXYxqU9HnNJW1a6HgzK+MNaxgUHuOOkrZtWrJ89575uPNyrmxseZ/sSxp8r3Snew/RjaX\ntpoVFrYsS74ZMxQuKlLRmWcqNzlZlZ9+aivEP4Mx8n86UVYoJM9996jQjTx/f7j6M9SVZdILPfb/\nfu9NkF7pJRXYqFVok5gp2seSBVKJ/XyKkueeU+6gQQrm5JiL+P1Scc1JXDtklO2UxnWRRrH/eOso\naa+Nqtqb10UGvzEvSi3d0tBzbP/u98yerfHJyZozaJBCBktg+9g1f75eSk7WlMGDozZG+6hYulSr\n6tXT+hNOUCCaGcs1s6WL3dL93SLG6OWhUlnsmjxUhFauUOWwu2QZ5HL8FO/EiSq44AKF9uw5RJHF\n+BmWJU24ff+H9pPtpO2GOaI/lQ0EVHrDDcoFVTz9tK0inX8GY7SPytFvqTDRrbJLBlc/odxbIo3q\nvv93/PrZUukfdz0fzBT9br3Pagq+hQtJ6NmzRtdx+EPxl8G0IbDj68jXGS2h50ho+xdw2WyS+v1C\nuOUSiIuDNyZClxONpfYuWMCcAQOo17Mnp0+ahDvJrCntrrlzmTRgAK3OO49z3nsv6poiAL4tW8g6\n+2wcTietZ8wgoVU1+//NHgsnDID18+E/t0X+7fpXoceQXy9RUbYa8meCwqDQ/keHG1rdCy6bDXpr\nAPL7o98u/wuEsrJwtWoVG29+SyT4+CZYPw1qt4Bt38IJl8HAf0a+NpYV3n/9i4phw0i8+mrS33jD\nuFinv6SEyf364cnO5sI5c6jVtq2RTuHq1Uzp04daHTty7uefE5caRcHOKoJz51BxyWCcR7ck7dPP\ncDZpcvCTKkvgtbPAXwG+sshx5jA4415IiD4GO/xpGsLGiFFtwkGYdRNs/BBaDYLNn0BKIzj+Tjjm\nRkgw7AIOkJ8Hd1wWMUiPvQqXXm9co6rgu++YffbZ1D7xRHpPmYI7yqKM+9g5axaTBw6k9UUX0f/d\nd3G6oq+rE8zNJeuccwjm5NB6+nSST4iy43p5EYy7F+a8A93Phxteg9qNf/l7Jdj9X1h3NwSL9v97\n0yuh04sQf2TWrInxO2EFIZAN/l3g2xl59O8Edwa0+KfZ+9myYPF/oMcNsPpTmPoAFO+CXndC34ch\nKdM4XN+UKZRdfjnuE08k89NPjWtU+UtKmNy3L56cHC6aO5fMqiKN0XIojFF4yxbKLxiIKipImzQV\nd3XGG08RrPgQug2FeS/ArGcihqj/SDjp2khB0QMhQTAP/NvBtz3y6N8JRz0K8dF1CvhTNISNcYRg\nhSTPCinvZemHS6T8sTa0LGnZC5HnJdukOXdJL6dIr6RJc++RSm30FAsGpacfjCRh3zNU8prXFSlc\ntkwf166tr047TQEb21W3zZihFxMSNP2qq4x2t0lSqLRUm888UytSU1X69ddmgaz8SrqphfTXdOmr\nN389D8WXJy27XJqCNMW5//imh7TpMal4abV678WIERUlC6VVZ0rz+Pmx/jJp7yeSZ1NkLLJD0C/N\nfUF6qJb0cB1p3su2koQDK1Zob9Omym/dWkHDbfZS1VJa164a07ixijdvNtY5FEtp4aIilfY9U4X/\nx955hkdVrW34nvQChCa9iooNRVHkKEdURFQERUXFioJd0WNDVMSGioo0EaQoCiLSpSnSe+89CYSQ\nBNL7pEzZz/dj044fkMyaeFTIfV37ykwy68matvaz13rX+1YMV/G0qb4L5KZIk5+X/hMkfXyRtH3m\nyeN9iw9Le7pKK/jvY9OlUtpkyblbskq/MYI/ffnMdQiCDeqYnYi3GAKC/athBrbbL4OU69LfJ815\nmfWljF4bPE4IOmFGRIKsnyHje8hfdbzmFECV+yG4JgRWhsCoI8eR26GNIbSUyzxHKcqC7SNh8xBw\npkDT+6DlW1D9UrPn8vsv8OpjULchfDMNGvrYnyNkb9/OgrZtqdikCTf++ishlc2uKuPmzmVm585c\n9PDDtBs1yqh8gFVcTPxjj5E9bRoNv/+eql27+t6RIidM7AOzB8HFbeC50VDrNK9NylzY+RJctxIy\nlkDqr5D6GxQnQ0gNqNEeatwGtbtAwOmuBi3ImQch9SCi2R/+JvDmgFUIIX6ONxJYHr+XY8vqu/l3\nGm+gjPpjeSHAIJP4H3GlQ0j1k/8texnE94WcJfb9sCZQtB8QBIRDxCUQ2QwiL4OKLSDKoP5dQRb8\n/hEsH2ovpd35BVzayeipeA8fJrtTJ7yxsVSeOpWQm24y0inKyuKXW275W8wYye2m4KUXKR71DeEf\n9iOsV2/fPzup0TDnLdg6FZpcD3cNhPonmXlyboWEjyBjin0/qCp4jsxUO0IgvKn9nkdcav+s3A4C\n///s/Z9f5iNtpHnb7D2w9lX4qS4cWuhfP9Ytgvsvh+QEv2TSFixg7a234nE6/dLZOHQoC3r2xB/T\naRUVsfPee0mdONGvvrBhPnS7BA7tN2tfkAR7B8L8VvD71f9dQsThsM1P7beh6v224bH/AN5scK6D\nrEmQ8gUk9IT990JMO0j+wvd+hFWBq3tB9zho/y2k74CMnWbPCeCWO2HWBrvwrtdrLFO5WTPaLV1K\n6DnnGC/FATS+/XbumDKFwLAwY42A0FAaTZhA9eeeQ0VFZiJhkdDtS/h4NRTlgasEnZq3w/Wb7IKg\nde6D5t9BuyT7d+f2hIL9sOu1U1/0ePMh5WvYdjHsvR3yV8OhTyHuOdjbAbY1g41RsLEKHHjO7DmB\n/TRKaPwAACAASURBVLndOwu+uQrWDDLXAXQoCe+trbFWLPFLJ3ffPua0aUNefLxfOgfmzWNGp064\nfSwLcSKyLNJeeYWMPn386gu7FsI7l8LO+SX8Q0HKJMheYd+3PJC3GRKHwc6HYFVjWFkbvKcYiytf\nD5cvhssW2Ybn0jlwXS40XwNNhkClf0FRHBz8EOJ6mT2XiCpw1wDovQfqXgHxa810gMDatam6dCkh\n7dubfzeBsCpVuPP336l59dXGGgDVLruMTgsXEl79FKazFDiCg4kYNpyILwehjAwzM13jAnh8Cry0\n0v4MZOw7+eMiL4cLJ0Pz7VD9fqjzKrTKh8vXw3kjoXJ7+8IpZSTs6WzfNuF000glHYDkLsWOFedh\nyXNk6tFdIMWMk2ZfL41G+qm+tOl9yWm4m8vtlr56W7rCIb3SWco230FzeOZMzQ4J0YYHHpDXcDeQ\nJG0ePlz9Qav69TPWcOfmavONN2pZpUrKWrrUTKTQKQ16QWqD1OduKbuEEhVFGdLOj4+0TZGih0kL\n/i395JAmV5RWPyIlzT59SgNvoZQ5SYq5Q8o7SU4UyyW500r3uSkJyyqb5Zm/aZKxvwVl9dp4TrJL\nryhOOvCqtD5KWsMJR4C0qb60s7UU86B0sLeUPFzKmisVGuQXsyxp7xxpxFXSu0jj75AObTJ+Kt41\nK+W6oJZcLS6QtXe3sU52TIwm1Kunac2bqzA93VjnwO+/a1BoqOY8+KDx0qu3oEBJd9+t6OBg5Ywz\nTNGQflAa1kXqhjSwg5RymgSGOWulDddKC5F2PyVtaistqWDfX1JB2nSztO9dKX1e6UqKWJY99pzq\nb+4yysRcntbgz8WySj/muE+TssWdc0od/vIt+SmrbeOTsU1a/ZL0QxVpTKD0+53SwTl+ZYzVoXip\n23VSy1Bp0td+DeCJEydqVlCQtnTvLstwYJGkLaNGqT9oxXvvGWu40tK04eqrteKcc5S7caOZyK61\n0sMXSLdXkub9UPJrk7xImlFXmn2+tOhmaWKANClcWnGflDBN8vhelqI8nqSc0+LcIaWNl+J7SXs6\nSJsa2KYoZaR/ujlHkvBZlhT9qzTyGtsMjbtdSjSoL3gC3u9HyVU9WO4ut8vyI8VH9t69+rFOHU27\n8koV+lFXKn7BAg0OC9PsBx4wTijqTk3VwX/9S7FRUXKaZOd3FUmzPpaeipBebyxtPk0ZksIEacfD\ntvk5eiyvLe14SEoYJuVu9j8eqJxyTsNfa4p2fyN9G2zPCI1GmthQ2vxR2RQtXThN+ndlqfNF0t6t\nfknFjxmjmQ6HtvfsaVzbSpK2jx2r/g6Hlr39tnFeiqKEBK296CKtatBATpOcFG6X9O270k2B0n9u\nKrnoo6dY2vKmPRv0E/ax5FbpwE+Sy78cK+WU4zPubMm53bx9whp7RihmnjSylW2Gfmhv/94PLJdL\nnteelysKed7v7deFU9bu3fqxdm1Nv+oqFRlmuZakg4sWaXB4uGZ16WJsiIqjoxXXpIn2N2igoh07\nStfI7ZLS4uzb236T3rxAejJMmvG+VHyaAtsF+6Rdj0ub20nrrpJWnSstrSKtvazsZnLKKacE/hpT\n5C6Ulvc4boZGI02/0v69KUfNSmGB9PFzUnOk97pLBb5V//0j+wYP1kzQbj+MjCTtHD9e/R0OLX7j\nDWMdZ3S0VjVooLUXXqjCgwdL3/DgEfN0YJf0VAupXZg0eVDJU7250dK8q46boZ+DpSmVpFUPn/V1\n1fz5LJyose/XX/0y2uX4wP7F0kcVbCP0LtL37aSDq/yWtdJS5e5wg1y1wuWd8pNfWpm7dml8zZqa\n0bKlirLMZ5oOLlmiweHhfiX+LFi5UrHVqin+yitLn4zW65VGPSpN6yMN6WwvlQ2+U0r1I0Ox5T3r\nx5ucuDi/Sgcd0zlwoAx6c2bzvzdFxdnSsu7SnJukRQ/YS2ab+0l7Rks5+8yehTNPGvaOtG+X1KWZ\ndF1F6Vf/BidJiu7XTzNB0R9/7JfO7p9/1mcBAVr48svGJ9O8zZu1okYNbWjRQsWpqaVvmBgjdT3X\nNkHtwmxTdGBX6doWHLYPV47kLbviiGcC+8aO1b4ffjCO0TjK+oED9V3z5or73Y9SD+WmqmT2zpE+\nCDtuiL66VMpLMZazjmQqt7ZtlqtZQ7kubSBrq3kckiRl7tihcTVq6JdWrVRsUBj2KEczof/SubOx\nIcqdPFkxoaFK7NBBXl+2ZE98zTZC3ZDeaCJtnWP0/8v5b7JjYzXh8su1b8YMvy7Idv/wg2Z17Kj0\n7X7Mtp7h/PUxRf5iWdLbD9tLZa0ipIeulg76V+HZsizt6t1bM0H7hwzxS2vv1Kn6LDBQ8194wfjD\nnLVsmZZVqqTNN9wgd05O6Rs6c6Vul9iB1DcF2stm7nJzUxa4cnM1pWZNzbr4YsVPmWL83roLCzW8\nQQP1B01q314pW31f6vXk52tfjx7KWby4TGawzjh2TJbeD5YG1JfGd5B+f1PaNkHKMrtqtg4fkueN\nF+WdOlGuWuFy3369rDQfLlROQsa2bRp3zjmaee21KvblO/4HEles0JDISM24807fiwnHxcmyLGUO\nGKBoh0Mpzzwjy5fZibmfHTdE3ZC+vk9y+l866Z+MNzv7mIH2lyUvvKAhoMnXXquk5WaFe70ejyZc\ndpmGOBya362bcuN9z+dmeb1+l6f5O/PPN0XTRtlLZc2RbqrhlyHK3bVLlter7S++qJkBAYofM8av\nrsX88os+DwrSb08/7fPJqvjwYWUtXar0OXO0NCxM2zp1krfQh+VFy7J3lLXhiCkKkn74qHwnVVqK\nvSOxDIgZOVLjQeNBc6+8Uklz5xqZkm3ffqv+YB8Oh5a/+67POhlTp2oNaEerVsr85Zfy2aOjeFxS\n/EqpwDw250Qsy5L7/jvkqhFqxw+99rwsw9mYo7OM6Vu2aFz16prZurWK/UjwebSI8PSOHX03RPv3\nK/7qq5Xy4ouKBmX07+/bZ3DZt7YRerm2NOJBaclIKTnmrB9vrKIiZbZtq7y+ff2uT+dMSdHwChU0\nBDQENKtjR+XExfmsc+DXX49pDAsN1fJXX5WrtHXKjvbltVeU/8rL8sT6NwHxd+SfbYr2bLF3ljVH\nuiZM6nW/tPI3I6nCQ4e04NxztfmJJzQrKEiJEyca6RSkpyt50ybFzpmjz4OD9Wv37kYnqN2PPab1\nV1yhJUFB2v3YY75dsUm2AWqDdG9dafCL0ubFkp9LPWcE6anS7VdKn/SSYs0zx0r2SW3WpZceM0Yb\nX3tNRQY7hbxut0ZdeKH6gwZXrapsg4HOsiztvu02rQGtAW299FKlTZhQPnNUxnjHjZErCvtoVFXe\naT8bv8Yrn39eaZs26YeqVTXLMHOw1+3WnokTdWj1ag2tWFHTOnSQ28eZCcuylNi+vaJB0UFByvV1\n7MvLkJaOlg7tOetN0MlwrVmj5IAAJYeEKPuRR+TasMFYa03fvscMzZq+fY0+e5ZladqNN9o6Dofi\n5s71WcOblaXMBnWUEexQ7l0d5Vow/4wZa/65pigvx95Z9lx7aeb3Ur5/uxM2P/GEZoJmghJ/Mo9H\nWvzGG/qxdWt9ERqq2Y8+amSIclav1mLQYtCaCy5QUWKibwJxO6Vvekk7V5fnzTgZy363S3g0QLr7\nOmniGCnP7POT9NtvGg+aXK2afmvVSsWGwbF7pkzRrIce0phLLtGIxo2V40sg/REKY2O1NjRUa0Ab\nqldXga+7E5PjpI2/ScV+bHg4g7HiD8hVr6JtiC6oJU+/PrISfH+fJClp0SKNAn0XEaHZN9wgV77Z\nhpBto0ZpZP36GlqpkqbdfrvPhkiScidMsA3RkSP5ySeNZ7/KOTm5r7yiZLAPh0P5vs7EHaE4N1ej\na9bU3Hvv1VfBwdo/8zTpDU5D8rp1GtuokX664gp9W6+esg1mfIpnz1JGEMeO3E4dzohltX+uKTqw\nV0pPLhOprI0bNdPhOGaK1nToIJdBoGNeUpIGhIWpP+jr+vWVafBBs7xebbjqqmOmaOO11yrDjyDc\nck7Bh68eN0bNq0vTfzSW2vb++8reuVNTatXS3BYtjGaLLMtSTny88pOTNfqii/RNkybK9dUMS0p4\n7z1tadpU6ytV0s42beT2xaRZljS0u3RvuPRBB2nOMCnZj11DZxCW1yt3x5vk7niTvDMm+2UaLK9X\n06+6SqNAo0Dz775b+QbvtaugQN/UrasBoEEhIdrz888+B1Z7MjK0r0YNRYMS27VT/rx5Z8wVv194\nPdLBjXaOpTLAcjqV1qSJkkEplSureMkSY63Dq1fL8nq14Ikn/DJGSStWqDAj45gxyorxPfFp3qMP\nHTNFhUMG+da4KF/KKyFh8F/AP9cUlRGWZWnF9ddrJmhF69ZKM0lOdoR5zz57LDZk5PnnK3r6dJ8H\nmEOjR2sxaHObNspcuLB8gPqzKCqSbmsuNXTYx5APjWfVjr5HOdHRmlavnmZfdpkKfdkh+AfyDh/W\nqKZNNfL885VX2q3QR/AWFipj2jTlb9mijbVqaWuzZir25YTrdknv3CR14vgxtPtZH6BvJSX6lZ36\nRPZNnHjMEM1u00Ypq1cb6az77DMNAA0Afdu0qWIMxpuUZ57R4YcfVtGWLUZ9OKPZNFl6JUL6opU0\n5WVpw09SepzxEmHx4sXKbN9eWZ07Kzk4WAV+xqyWhTGSZBujK680Mkbe9HRlNa4vZ98+yghC+S88\nV/oLBq9X+vlp6YNzpe8fkBZ/Ke1fefpcVv8DznpTdGjKFC3/17+UOt+/NdHM2Fh9HhSkIdWra+NX\nXxlthXVnZWln167K8uMq4ozFlS8teFaa3lFa9JK0abC0b5aUvlNyGX6JYnZLLz8ijRkknRskPXa7\nlOVfeZG8/fs1vVEjzbr4YhX4EViZl5Skkeefr1EXXqg8Q52iuDhtueACbWrQQAW7fTih52VKz114\n3BRN6Cu5zCuAl3McT1GRJjZurGlXXKGE334zHnMKs7I0rEoVDa9ZU1tHjDDKYWO5XHIlJBj9/7OG\n9T9KLwZIL2Af79SV4tYay7n37ZPl9Sq3Vy8lg3Jff92vTRF/B2Pk2WWneCmePEkZFcOV0/5meUs7\nQ+31Sj/1kF7i+PHxRVKm77viyoqSTJHDfowZDodD/rT/X5C3Zw8Vmjb1u+rzvKeeIrx6da7p1YvQ\nqKiSG5wEy+0mINi/ytxnNJ4imPc47D2hAG7VC+Gu2VDZrII9OdkQVRk2roJnu0BwMAyfApddZdxN\n58GDLGzbFgICuHnhQiLq1TPSyUtM5KcbbiAwNJQHFi8mskYNnzXc6ens7dCB4thYLpgzh4qtWpWu\nYfJ+eKMVtL4f5o+GWk3ghdHQtJTtyzkpCXPn4s7Lo3GXLjgCzOttr/vkE7xuNy1eeYUQg+rl5fjA\n2u/hx8ftArURVeG2d6H1sxAU4pds4dix5D71FKG3306l8eMJMHwfZVksevJJ9owbx+1Tp9K4Y0cj\nnaLMTGa0a0dBSgp3L1lC5fPO81nDs3EDeZ074ahUiYozZhNYGg3LgondYd1Y+37tZnDn53Bhe5//\nf1ngcDiQdEpDcMaborLA8npxJidTsW7dv7orZz6yYGUfWPexfT8oDC5+DK78D1Rt6p92eiq82BU2\nrID3hsCDTxlXtS84dIiFbdtiFRfTdtEiKjRqZKSTm5DAT23aEBwZyQOLFxNhULHa63QS06ULeUuW\ncN7kyVTp0KF0DfeshobNIDsZhj0FO5bAHT3hoY8g/DQDeM5miP0UvAUgL8hjV7cOqwuXj4LAMJ+f\nQzn/jSsvj5CKFf/qbvzzkMy+06tGw9IhcNGtsHQwVK4Pd/aHy+82HiMAXMuWkd25M4ENGlB51iwC\nDS+g/k7GyEpMJO/uTljx8VSYNJXgNjeUopEXJjwOOYkQHA675kLTdtCxP9S7wvcn4gclmaIzfvms\nnL8Iy5LcfuSO2TZSGlFL2jREGt1YGuCQZnSSEpb5ty3Y45E+e8sOwP7Po1KBb/k7TqQwJUWzmzXT\n9AYNlGsQxHiU7AMHNLxhQ313+eUqMKyW7nW5FPvYY1oTGKjUb7/1XcCypHmjpK5RUo+G9i6105G7\nQ1reSprJ8WPtHVLybMlt/pqWU06J5G2Skn+Q4j+S9j4lbbtNWn+JtLeHf2ND3JH6eOlx0ndd7eW0\nAddK+81iwo7ijolRWtOmSq1dW6716411ymwpLTNTP115pcbUraus6GizvuTnK7fL3coIC1Lh6FGl\na+T1SHsX2Lf3LpS+aCG97JDGPSJlHDh1O3e2lLNWSv1ZOthfin7Wfs83XycV+x7bydkeU1TO/wjL\nIzk3SimDpdh7pS21pKzp/mkmHsnq6vVIeydLP14jDUD68Wppz8/+1UuaP1O6NEq6pZm032xgkKSi\n9HTNvfJKTa1TR9m+xPX8gax9+/R1/foae8UVKjQsEmpZlg727q01oMR+/cziWTIOSZ/cbccaffmI\nlHMak2Z5pP1DpTkVpDnh0pLLbHM0O1RafYu070spd3d5bptyyhZXhhT3jrSiorSU48ema6TYl6TD\no6XcdZLHT3Met1Ya+G/bHI3pIqWaJzL0ZmYqs21bJYeHq3DyZGOdsjRGE1u08M8Yeb1yvvOWMoKQ\n87VXfC+S7PVKGyZIHzSWXg2Vfnldcp5k7PPkSQc/k1ad89/v99rGUkxP6dBIKXulbZ5KwZ9vivL8\nc9GSpLTNkrsMItJTfdvJcypMc9GciNftVrFhbpITcWVmlk324tQyCLh05UjpfwhCtCwpfZxtgjbw\n38e2c6VdV0p7b5Ri75LiHpMOviQlvStl/+r7/7csKXGF9Etne+ZoVEM7GNuU+H3SbVdIF1eU1q8w\nlinOytKv11yjKTVqKN8g/9BRMmNiNKxuXf3QsqVfxSEPDxmiNQ6HDr79trGGVk2VHqslPXKOtGvl\n6R9bcFBad5fkKZAKEqX40dL6e6S5lWyTNL+RtPVZyVtCMHdRvBT/hpR/Qo0xy5LcWVL+FilzppSz\n2Pw5HSUvRcr3r2yHJFmpKWWye9SfOmgnUlQGOt7CQt9qoZ2KtAP2xUxpsE4xvhUmSCmnOfG70qX9\nvaXlkdLSAGnPY9LGFtLysCMnToe09jxp591SwkCfn4LdN0vaOl16/3zppWDpt35mOrID33OeflrJ\nIOeIEeY6JxijRD827RwzRnXqyJlsnv6maPw4ZUSEKPe+e8y+D+4iaclAqXdVqXcVacuUkz/O45QS\nvpRW17Lf383XHXm/w48bpdV1pW3tpdhXpOKT1z78801R8he+vwiSVJwr7RopTb1aGoEUO8lMR7KX\nRL75ULoyRIreZq4jaXe/fppTp45RHqOjeD0ezezaVRNvvtmvQbPgwAGtPP987f/oI2MNuV12TbS2\nwdLudSU//o+zL+58KX6itLyz9HOoNKPuya/8PblS+lhpb1tpg0PaECgl9ZUSXpMOPCntu0+Kbi/t\nvkbacaGU+I75c5KkzGhpwXNSUgkn7JIoLLCX03L8O6G4cnK08/PP/TawGdHR2vmjeU6lo6T//LPy\n1pXi/T4deVnSqJdOP1t0FMv6/yc3r0tKXyrtetM2Tadql7tCiu4irQmU1gRI+5+S9twubb1EWl9R\nWsPxI/oe8+eTnyrNe136MEL67TVzHUnexfPtjNc//eCXzsE5c/R95cpK93PL/OoPP9SoRo2Mk0RK\nkic9XQevu06H7r/fvCPFBdK0d6UeodLysSU8Nk3a9ZyUscj+rGSvlw4MlrbeLy2tL81D+j1QcpVw\nkepKk/b3kpxHZmotj+TcI6VOkuL6SDvulPZ0M39Okl1OZslQe7eaH1iWJefQoXL7mnj1jzperzZ9\n8YWK/TSwhZmZ2jxwoN/m3rVqpYp+NqsScYyCLGlmLym+hHHLUyAlDrYPyR53CvZJ6b9I8R9Lux+S\nNlwuuU4+4/73WD5LWmx/qCxLSl0vLX1SGlNBGhkiLehq/930TUlOlJ64QboiWPrhS2Mdy7K0/c03\nNRUU60eRWK/Ho9mPPKIvQkO1f948Y528nTu1rG5drbrkEhUlJZmJHNglPdVCahcmTR5Ucp6etJXS\n2u6Sp1BKmCatvF+aFCFNDJAWtZViR0pFpThBFh+UDn8i5Zuvn5dzFpD5i7S9xX+bnjVI21tKMQ9J\nB3tLySOkrLmSc6dtvE3IT5PmvWGboU+rSys+k4rNzINlWfIM+1KuKgFyP9ZFlh8mJH7WLI0JCdGS\nRx89VifNhDX9+mkAaNPQocYaxbGxijv/fO2vV09F2wwuLC1L2jhdeq2R9HSkNKe/5D7FzKC3SIr7\nXFoYZRufNS2lBRH27YWVpA3tpdgPpPQFktu/SgblnMEYnuv/WlNkWdLWL6XREdKOr6UpV9izQhMv\nlLYOkAr8zHa5ZJb072pSh/Okneb1ZiyvV5tfeEFTAwIUZxKkeoLO3Mcf1xchIYqdM8dYJ3vdOi2p\nVk3rWrWSyyB7srxeafJAqV2obYoO7Crh8W5p+3vSxEBp2jnS5IrST0jzW0vRX0mFZZNZvJxy/gvL\nkooOSJmzpKSPpZiu0tZLpYT3/dONO7Kk4EyXfn9T+ihS+rSatPxTqcj8ytoqKJD76UfkquyQZ8DH\nfl1dH5gxQ2OCg7X08cf9MkTrPv3UNkSDBxtrFKxerX3nnKP45s3lNrkAO7xXGnCrXTD26/uljFMs\n1VuWlDxVWtbENkBHjzXXSAnfSLnbT72UVk45ZcRfZ4pc+fYs0AjsY1SotPBh6ZCfu4ckqbhI+vQl\nqRnSW4/4VRfN8ni0oVs3TQsKUsLPP5vreL367ckn9XlwsGL8CIDLWLhQiypU0MZbbpHH5Cr08AHp\npRukmwKl7/qWnKk4P06af51tgo4em/4jOc1jY8opxy8sPwobr/1K+rKRNP8t6aMK0idVpWUfS0X+\nzThYiQly33CVXPUryfvbbL+09k+dqtFBQVrWo4dfy61HM15vHGgYLyMpb9o0xYSFKfHWW+XNLeVr\nlH1Yittgl3GY3FvqESK9dbG0q4RqAc4YKX6oFPu+tPtladuj0qaO0ua7JHeO8XMopxxf+GtMUXas\nNKnZcUM0Avt+vuEykGQXiJWkuL3SfVdILSOlX74315PkLS7Wmi5dND00VIdmmQfsWpalec8+q88C\nA7V32jRjnZTp07UgJERbu3SR15fCjytn2kbz1++k2ypKjzQtXfxQymLptxbSr5dJv18jLbxRWtpB\n2tKr9EGSZzhlVQAx77vv5DHcVVZOKVn2ifQu9vFJFWnpR1Kh/ydb7+oVcp1fU66rmsqK3uOX1r5J\nkzQ6MFDLn37aL0O0/osvNAC0YcAAY43MgQMV7XAo+amnZJU2sN+ZLfW5XBr+gPRKPemZitJvX571\nZWLKCvfu3fIY1Mn7I8WrV8sqLC/8fDL+96aoKFNa+5a0vq+0Y5i0b4o9O5S1R3IZnmDiY6TeD9sm\nqGWkbYri/AtU8xQUaGWHDpoRGamUhQuNdSzL0oKePfVZYKB2TzIPFk/69lvNDwjQrief9G1r46pZ\nUoco6e27pDZIQ3pKheV5YsoK7+wZ8vR53a/YEUnKnzZNB2vXlvOXX8xFXC6/ZkXPWCxLmt/7uCF6\nF2lAA+nQppLbnkrykH0B5x07Uq7qwXLf10GWn7u79k2cqNGBgVrx3HN+Lb1t+PJLDQCt//xzo/aW\nx6PUnj0VDcr45JPS98VVKH1yvb1MdnSpLKtsdvyWY2Pl5yu1USM5R4706zNSvHq10i68UMUr/dyI\ncgby9wi09oeiQqlLc6l5oL1c1v9le/nMD1y5uVp2442aGRWl9FWrjHUsy9KiV17RZwEB2jlhgu/t\nj1wpHvjiC80Hxbz5pm9fhPg90u2VbDPUPkLaMN/nPpRzeiyPR67Lz5WrWSN5F5SQ0PB0Om63Dtav\nrzhQ6kMPyWOYpFFvPSTNHGtc3PaMw+uVfn1FGtZMmvygHTe0d46UfdB4md67fo3cD94lzyvPyhWF\nPB+85XsOlj8Q8+OPGh0QoFU9e/p1sts4aJAGgNb17+9zW+fChfI6nUq6807FhIQox5ddjh63NPjO\n44aoG9Jnbe2Zo3KkwnzpYAmxm6Uk9/XXlQzKvOkmufftM9ZJb9lSyQ6Hcnr2NE+zkFA2RZL/Tvzz\nTdGHz9hmqBnSjbXs4GpDDv3yi4ozM7W4VSvNql5dWZvMriQty5JlWVrSq5f6Oxza8YPv23Jz1q9X\n8s8/K+attzQfdMDXq778HOmRC21D1AZ7h9mPn5QnyjtKVqKUZj6gnIhn5FdyRSFXFHL3eFBW6snz\nX5RE9iefKA4UBzpYs6acM2b4LrJhqdQc6eGW0rY1Rv04o/C4Tr3LyQDL6ZSrxQX2+107Qt7p5rO/\nhUc2SUT/8INGBwRo9X/+Y2SIjl48bRoyRANAaz/5xGcN54IF2l+/vuJbtlRslSoqWLrUhw5Y0pgn\npJ417dmhRcOlQ+VJOf8f/e6RBj4hpfmXE85z4ICSAwKUDEqOiJBz0CAjU144YYKtAUpt1EhF8w0u\nmmcOlj7oIMVt9b3t35R/tima8+NxQ/ToddLEYVKGWdK1zPXr9UulSlrQvLnm1KmjnF1mrj5txw7t\n+/VXLXvnHfUHbTPYrWZ5vVrXqpWWVK2q+QEBShw92jcBr1d6+07p1grS+w9IiydJBWUT+3LG4PVI\nA/4lff+IdNi/KzgrP1+uRlXtE+U5IfK8/oIsX2K+juBJS9OB0FDFgZKuvloek52FktTjBtsYNUd6\n59EyS1pajuTp1fOYAXbVjpDnG7Nt7l63W7P+/W/tGT1aoxwOrXntNSNDVJCRodUffqjNX32lAaA1\n/XxPHugtKFDceecpGhQTEqLCtT5Wgc9Nk5J2lZugkji4S7ojQLorTPr2DSnXPIYw6557jhka57Bh\n8ub4HhtnuVxKrVNHyaCUKlVUOGOG7+bKVSQ92Vi60yF9+bCUvN/nfvzd+Oeaov27pQevkUb2Ckqb\naAAAIABJREFUkxL8eyMsy9KS667TVNBUUPy4ccZT2NM6d9awunXVH7Rl5EgjjaSxYzUfNB+08vzz\nle5rPqP92+1YouLyQLrTErdWetFhH6PvlRI2G0t5PnxbrnoV5YpC3h+/M9ZJe/xxpffsqTiHQ9lf\nGCY+Xb/4uCnq0kxa62NMXGGatPMLKb98h+GJeJctss1Q1UC5H75b3sXzjYOhd3/zjUaBRoHWvvGG\n8Xiz9PXXNSQyUgNAqz/80Egj7a23FA22KQoPV1qvXqUPrC7HNwb3kG7HPu6rLC0abyRTvGyZ0i64\nQKn16imjTRtZxWazoXkffaSMa69VclCQ8t56y0hDSyfYZX86Id0dLH376j86sL4kUxRUFlVn/xSq\n1YLxq/2qUHyUpEmTyFi5EoCgSpXIj4nB63QSVOE0lcBPwuF164iZPh2ASg0bEm5Q0dyTm0tsr14A\nBFaoQI1776XiFT5WCW58qX2Uc3oatYRW3WH1aNgyBXb/Bg+Pheb3+CwV8OQLUKMWJCXg7fkk1KlH\nwA03+6xTuW9fAhs0IKh2bbJef53gCy8korRV7Y9y1Q3Qog2kJsH+XVCQ51v7sOrgCITpDaH2zdDk\ncah3FwSF+6ZzBqHcXKx+fQjo/T4Bj3THUaeusZY7P5+Nffseu394yRIKU1KIqFXLJ528xES2DB2K\np6iIoLAw5PVieTwEBJV+2C7esYOszz4jsGZNKr/wAlHPPktgtWo+9eOMRoKs2RB+IYSf77/eg+/B\n4vHgKoJqdeFfnY1kglu3ptK33+KIjCSrdWtyn32WSqNH4/DxfBjx9NOEde6Me9Uqcp98ksCmTQl/\n9FHfOtP6fpgxAPZtBBxw/YMQFFz69pYb8pZBxWsh4B8wxpzOMZV08A8oCOspKNDcBg30S4UK2vnO\nOyo2XbKQNLFtW/UH9Xc4NKdbN+Um+L52vPfVV7U4Kkqx775rlpjxTMdyS1YZLgXmpUlvVLGLOr53\nrl9FHS3LkuX1yt3tPrnqV5K1w7ykjGVZSn3kER2oWFHFO3b4LrB+sZSwT3q/h3R1iLRmga8dkBbe\nJo3DPiZGSZt6n7WpGKyszDKbPdn4/vsaBRpboYI29u2rYoOlD0ma16OHBoC+DAjQvO7dlevjVm3L\n61Vy9+7KHj1a3vLt2afGuVtaHSVtuEDa/4qUvdguO2LKd29KX3aTukRJ77T3e0a/cMYMJTscyv/s\nM790cl99VcnBwSpetsz3xlsWSP9pIb3YTOrRUEqO86196vfSunBpTwcp+Ws7aetfBP/Y5bMyImbg\nQO3o3VtFprt9jnBgwQL1B/18yy1KMaxTVJScrLhPP5WrDArOnrFYlpTfR8q4SMp5RHIOklwrJMuP\nLfHLvpZm95E+vULqXVM6aL5VW5KswkK5218n1yX1j23dNtU51KqVEho3lifNMLu7xyO9cZ/0r0jf\nA68LU6TJNW1TND5ISvYh+Lack1KQnKwfqlbVqpdeUkGKWUC+JGXs3q0vAwM1/Y47lGZimmXveCyT\nYtJnA1m/SysCpRXYx9paUq6PsVdHycuSMg5Je9aWmTHK//xzJTscKpw+3VjD8niU1amTUqpVkzvW\n4OIwdqOUnWobo+4NfI8vOvj2/y/nUxTvez/8pCRT5LAfY4bD4ZA/7f8XeAoKCIqI8EtDEr8/8wwX\n3HMPjW+5pYx6Vs4pkaDgXSj46PjvHDUg6lcIvtJ3PcsLhdkQEAyj7oKEjfDUL3D+DeZdzMzA0+5f\nEFmBoLnLcPi4FHsUb3Iyh1q2JKhxY2rNn48jJMR3EbcL/nMXbF8Do5fC+c1K3/bwfFhyF1RvCWmr\n4eohcN6TZbJsfTZyeOlSKjRqRMWGDf3SWf/559Rq2ZL6bdqUUc/KKZHDw2D/C/btyObQdCKEN/VP\nc+866HMLNG0FfWZASJiRjCRyn3ySop9+ouqKFQT7GnJxBCs/n6zWrVFxMVVXryagcmXfRXLToU9b\nyM+Cfkug1rmlaycLYrtC5iT7ftV7oPEYCIryvQ9+4HA4kHTKAe6MN0VlgeX1AhAQGPgX9+QsQoKC\n96DgA/t+QAOI7AehD4IjwFzXXQTfPwQ750C3n+ByszV/AMXtw3NzKxwtWhI44RccPsR6nIhryxYO\nX3cdkQ8+SLWRI32OGwCgsACebw8JsTBmOTQ4r/Rt4ydD/c6wrS/s+BgaPwzXjICgyNM2cxNPBr3x\ncAgHoTgIw0EYgVSjGh8TiMGAWw5gnwSNPgflIOxzkgOD12/fC1CwFbx5ULAHGnwAdV8Bhx/ht2Vl\njFwustq3xxsTQ9V16wisU8dIx5uQQGbLlgRdeimV587FEexDfNBRcjPg3baQlwEfLYHaTUrXziqE\n3TdCQEUo2AwBYdBoBFS5w/c+GFJuisr5S/GQTxFJVMDwisv5HhT/CEHXQfEPENgMIj+BkNvMZzMs\nL0x6DlaNhge+gWt7mOkA1rrVeDvdRMCD3QgY8LXxicw5bRpp99xD1UGDqPTSS2adycuBp26EnEwY\nuxJqGAQLJ82BlY9AeG24fgpEXXTah1s4yaQveUw49rtw2lCFXoRwudmJqZxySkEBu8liFm4y8ZCF\nhww8ZBFGY5owHAcGJ3t5IGcJVGoDSf0h4QN71ui8byHSj80tZWSMrMxMMlu1wlGpElWXLcNhuAri\nXr+ezDZtCH/0USoOH242buVmwLs3Q146fLQYapfyQsydAoW7IfxiiH8JMiZCta7QcDAEn3PKZh5y\nyWQebtJxk3bkZwZe8jiPgYRTOmNWborK+Z8hRBEHyWM7uWwjj60UsJ8mvE0t7jIXLp4DoR3AswOc\nb4FrFgRfD5GfQvC/DDsrmPMuzPsIOn4M7d40NlnWzKl4H+tCwHufEvjSG2b9AbL79SP73XepOWcO\n4bfeaiaSlQbdrwccMGYZVPF9hyT58bD8PsjZCdeMhMYPltjEyVzSeR1RQCA18JBAEA2JpCORdCSE\nS30ySMLCQw7BVPG9/+WcNeSxhiQGUMjOY78LpTEVaUkEzYjgMsJojAPDWX7nDoh9ApxboH4fqPum\nvQxvQhkZI090NJmtWhFy001ETZqEI8Bs5rxoyhRyunShwsCBRL78spEGeZm2McpJtY1RHYMdfFkz\nIe5ZUDE0HGIbpFOMxU52k8QQclhx7HdBVKEyNxDJxURwCRFcQAChp/x3f7opStV8zsH3rclHkYrx\nWD8SFHAnDocfW0Ul2L8Qzm3rXzyE1ws7t8BlLcw1AG9WFlZODsGNGvmlQ8xOqNMQIs1iVo4R/xs0\naO/Xa+NmGx52EM7JT5JZrCGJH8hh3f/7WwChBFHpyBFFNdpSh/sNO7IC8t8Ez0qoMBTCXzDTAVgy\nBKa+BD2m+bWU5h32JVaf1wlatxvHeRcYaUgi/aGHKFqxgnoxMThCT/3FPi0pifB4a7jy3/DRODMN\nrws2vQZ7h8L106BBya+Nh8Ok8wY1+Q4X28lnFk5m4uUQwTShDvMJ4PQnAoti0pnLIX6gCe8TSh2K\nSKCYBIpIIISa1ORes+d0lIJVEFgVQi/0Tyd2DTS6EoIM4sBOwLt5E4FXGMTKnYA8Hjy7dhF82WV+\n6ZCWBF4P1PIvJoq0eVDlOggq3bjlIQMvOYRix6d4cVLAWgrYSg1ePq2hFhZZ/MphBuMikWp0oZBo\nCtmNcBFABFHcSCM+N3su8sChgRDfB6rdZccamXLUGHV4Dh772FjGtWgRWe3bE/XTT4Tda/59cH78\nMfnvvUf12FgCGzQwE8nLhL7twLJg4Cazc4wnBxJ6Qeo3UP9TqNPrtA/PZT2JDMLJNipwJQ4cONmN\nRQEOggijCeczhFD+/xJjSabI791nqSr9VmDLKjzhdq5c7gFyFtVTflGI3B7zqHp53NLs5+1CkAmG\nOwbsTkl9ekpNIqR0s8zZkp1JNKFtWx24/HK/6hxp/16pZXXp41fMNTzF0sKnpcFICUtK1cSSR0Wy\nU8J7lS+nxildN+qwopSm1rJ0+m3bhTqkeI3UenXSCrXQIU1UsmYqUeN0QMMUq4+Votnmz0my36ui\nmZKnDBIQxi73u5aYZVmytvq3q02ysw+79vhXiV2SdDBWyvJvx6UkKWmeT9uTLXllyftf9wu1Xtk6\nfdZ2t3KVqDHaoJu1Ws21Ws21Vq2O3V6jq7VFnRWvIcZPRe5k6dBj0m6klNfNdSRp/VSpW7D0u1nG\n66O4fp6gnDDkXrXCL52snj2VFBUlrz87WzOSpUeaSq/dYq7hcUrbn5HmIh0cVeLDLXmVqYnarSuV\noZ+UqqHarwe0Q021Q00Uo1vlVukyQ3tVrBR9L6d2Hbvv1A6l6ielyoc6b6eiYI+UZ54A9hj7t5ZJ\nBQLX5s3+nV9kj1uuzWXwnPIyy6b2W85iqfhwqR5qyVKmFuqwvj9y36sC7Ve6Zile/eXVyasO8HfZ\nfWbpEC7PU4QGfYfb+xVu7zCgmKDAHgQHvkKAo75ZJ4rzYUpX2D8fOn8PlxrOPgCM+AI+fB2GTYC7\nuhrLpL74IrmjR1Nv+XLCrrrKTCTlEDxwLVQ9B75fBBUq+q5RkApz74XUjdBuLJzfpcQmFjlk0wNR\nQDCXUshERAFhdCScxwmhdamXQYRFLptxEEglmvve/3LOCvLYQjwDcbIb4T72+3O4k+rcRhgNCKGG\n70sgVgEERNhX+lnDIP1dO8CzxpdQsYv5rOnqCfDNo3D9E9BtBBguX3hWr6Tg1psIeepZwj4fZNYX\nwDliBNnPPkuVCROI6Go4buWkw8s3QnEBDF4G5xjEo+VshK0PQXEyXDIc6py+L0Xs5RB9KGTTsd8F\ncQ6RXEcFriOSawmmpu/9KKec0/CnzxSVBq93j5xFjZVfFKr8okjlF1VTsbuvLMswN8tRcg9Jw6+U\nPq0mxft3paXpE6Q6SMN9LMz6B7KGD1c0KHfiRHORnCzpjmbSLRcY13pT6mbp2wbStw3t26XApV1K\n1RU6rCgdVpRSdZnyNFAemc+alVNOabHkUaESlKnlOqRxStS3smR4JVy0Qzr0pORcKu1vJu0OllJ6\nSV4/r9CXjJYedUjjXvKrFph3X6xy61WX856ORsU+j1K0cKESAwOV06ePsYZyM6UeV0j3NZAO+5BU\nz50ved2S5ZFiP5F+DZJWXy8VnF7DK6cO61Pt0AXaoSbHjljdKa/KrrhvOeWcDP7qmSKvtZoidycg\nE4AAR3PCghfjcFQy/r8ApOyAHztAYAg8PBeq+ZGifcUiePhWePRZeH+Q8RVkweLFJN1yC1V796ba\nBx+Y9aWoEB6/BRL2w8SVUK9R6dsWZ0NoZYiZBPO7Qc2WcNtkiDh1RP+xf8sscngWkX/sd2HcTxRD\nceBfzEQ5J8HyQkB5ioc/BfdBiL8WvJmgQohoBzWHQqifOWfmD4VxPaHT23DPh8bjhLKycN7wL4iI\nIHK+eY4rd3Q0addcQ+jNN1P155/NAm6dufBaO0hLtGeI6pZya7UEWx+Eej1g34eQtRLO/xDOfd0u\nIXMavOTjJROLYoTrhKOYUC4kmBq+P49yyiklf+nuM493NsWeB4BiHDQmIOACHI7zCQ54goAAHxLM\nHSXvMKTtsr+QP98DNS6Frr9ApMEOm6Ps2gZ3/xva3AJfTwTDXESufftIaNmS8BtuoPbkyWYDlMcD\nL94D65fBj8ugqQ+vUdpW2DoEImvD+n7Q7Fm4fjAElrxTws12CplIADUIpAYB1CTg2M9qOPAjL9CZ\nRk4iRNXzX2fW+3Bbb7+DdMv5A550ONgaXHvt+2FXQ/2FEGiw/Az2WONwwOz+MOlNuLcfdHrLuHty\nuSjo2B5rXwyRS9cSUNesxpqVlUXaNdfgqFSJ6suWEWCyNbswH964FZJiYdBSaOCDaTwwGHa/DARA\n5Plw+Y8Q5d/mlHJOwt6FUKcZVPTTKG6dBpd2gsC/b7nT/xUlmaI/7RWSigAH4cHrcTjOxeEw3Elz\nInNfhMx9kLoDLrrbjiEKNtvWCEDSQXjkNrj4chg8ztgQeXNzOdyxI0H161Prhx/MDJEE7z4NK36H\n7+b7Zoi8Lpj/GKRvhYAguHE4NHum1M2DaUYwBib1bGTbeKhYG5o/5p9OZgJ8cx8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JAAAg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\nIspfgEx6S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V9TBl/eCoOvhE42N8n6bJpnda4e+xlEaeSpbH0DsmfCmfPApa5TzjfkMY4M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\nF7z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/jkqZTJBNhMlmG2eCYq8YDy6upQMAWZqZovqA1FUjwl0fwu5PNIOJwLpRUK15bULP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Us6m6eQTz5uo4jRibYlVXkZLwlkYWYgfqHVA4AL9vzHmU7nJyFtDxxcYK4RWg9q/NM4WlSD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\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YfCHqXuh0AmI/Bkc2nJsnH5MHkctcytgtd7Fwwe5xUHocvILAy41GktU5ugiSKgdKvaYo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\n5w5Azl59OgH/Amc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"text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "\u00c0 noter que dans \"plt.quiver( X, Y, U, V , C , scale = 20.)\" le param\u00e8tre \"scale\" regle la taille d'affichage des fl\u00e8ches selon le souhaite de l'utilisateur. Une valeure de \"scale\" plus petit produit des fl\u00e8ches plus larges." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Script 1 : Comprendre la d\u00e9formation de type cisaillement" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\u00c9crire un script qui effectue les calculs et actions suivantes: \n", "\n", "a) trace le graphique d'un champ de d\u00e9formation de type cisaillement, c'est-\u00e0-dire \n", "\n", "$$ {\\bf u} = (u_x, u_y) = \\left( \\begin{array}{cc}\n", "\\partial_x u_x & \\partial_y u_x \\\\\n", "\\partial_x u_y & \\partial_y u_y \\end{array} \\right) \n", "\\left( \\begin{array}{c}\n", "x \\\\\n", "y \\end{array} \\right)= \n", "\\left( \\begin{array}{c}\n", "\\gamma y \\\\\n", "0 \\end{array} \\right)$$\n", "\n", "\n", "ou $\\gamma = \\partial_y u_x$ est le taux de d\u00e9formation, ici suppos\u00e9e constant.\n", "\n", "b) calcule la matrice gradient de d\u00e9formation: \n", "$$ \\nabla u = \\left( \\begin{array}{cc}\n", "\\partial_x u_x & \\partial_y u_x \\\\\n", "\\partial_x u_y & \\partial_y u_y \\end{array} \\right) $$\n", "\n", "c) d\u00e9compose cette matrice dans sa partie sym\u00e9trique ($S$) et dans sa partie antisym\u00e9trique ($A$) :\n", "\n", "$$ S = \\frac{1}{2}\\left(\\nabla u + (\\nabla u )^T \\right) $$\n", "\n", "$$ A = \\frac{1}{2}\\left(\\nabla u - (\\nabla u )^T \\right) $$\n", "\n", "d) calcule le champ de d\u00e9formation correspondant \u00e0 $S$ et $A$, appell\u00e9s respectivement $u_S$ et $u_A$\n", "\n", "e) trace les graphiques de deux nouveaux champs de d\u00e9formation, $u_S$ et $u_A$. \n", "\n", "f) enfin, trace le graphique de la somme de $u_S$ et $u_A$.\n", "\n", "Qu'apprenons-nous des ces quatre graphiques ?\n", "\n", "Dans les cours de m\u00e9canique des milieux continus, on entend souvent dire qu'une d\u00e9formation de type cisaillement est \u00e9quivalente \u00e0 la somme d'une rotation (champ $A$) et d'un \u00e9tirement, elongation et compression, (champ $S$). \n", "Avec ce script, vous montrerez d'une fa\u00e7on graphique que cette affirmation est bien v\u00e9rifi\u00e9e." ] }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Tranpsosition d'une matrice avec les arrays de $numpy$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "\n", "a = np.array([[1,2],[3,4]]) # a: matrice 2 x 2\n", "print(\"a = \")\n", "print(a)\n", "\n", "at=np.transpose(a) # transposition de la matrice a\n", "print(\"at = \")\n", "print(at)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "a = \n", "[[1 2]\n", " [3 4]]\n", "at = \n", "[[1 3]\n", " [2 4]]\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Script 2 : Transport du vecteur vitesse" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On veut \u00e9crire un script qui met en oeuvre une relation notable de la cin\u00e9matique des solides rigides: la formule du transport du vecteur vitesse entre deux points $A$ et $B$ appartenants \u00e0 un m\u00eame solide $S_1$ (en mouvement par rapport \u00e0 un autre solide $S_0$):" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\vec{\\bf V}(B \\in S_1/S_0) = \\vec{\\bf V}(A \\in S_1/S_0) + \\vec{\\bf \\Omega}_{S_1/S_0} \\wedge \\vec{\\bf AB}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plus pr\u00e9cis\u00e9ment, le script devra demander \u00e0 l'utilisateur les coordonn\u00e9es des points $A$ et $ B$, la vitesse en $A$ ainsi que le vecteur rotation $\\vec{\\bf \\Omega}_{S_1/S_0}$ du solide $S_1$ par rapport au solide $S_0$. Il calculera le vectur vitesse en $B$ et sa norme $|\\vec{\\bf V}(B \\in S_1/S_0)|$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "En utilisant des operations simples sur les elements des arrays (vecteurs ou matrices), ainsi que des boucles $for$, \u00e9crivez par vous-m\u00eames les deux fonctions qui effectuent le produit scalaire et le produit vectoriel de deux vecteurs, m\u00eame si, comme vous pouvez l'imaginer, $numpy$ poss\u00e8de d\u00e9j\u00e0 des fonctions pour cela faire, qui sont tr\u00e8s pratiques \u00e0 utiliser:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "\n", "a = np.array([1,2,3])\n", "b = np.array([0,1,5])\n", "\n", "np.dot(a,b) # produit scalaire" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "17" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "np.cross(a,b) # produit vectoriel" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ "array([ 7, -5, 1])" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "V\u00e9rifiez que votre script est correct en utilisant les fonctions ci-dessus." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vue la n\u00e9cessit\u00e9 de rentrer certaines donn\u00e9es (les coordonn\u00e9es des points et les composantes de vecteurs) plusieurs fois, il pourrait \u00eatre pratique de d\u00e9finir aussi une fonction pour la lecture de ce type de donn\u00e9es. " ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Script 3 : Propagation d'une perturbation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "L'\u00e9quation de convection lin\u00e9aire est une mod\u00e8le math\u00e9matique simple d\u00e9crivant la propagation d'un champ scalaire (tel qu'une perturbation, une vague, une vibration, ou bien un champ de concentration d'une substance chimique) dans un milieu \u00e0 dissipation n\u00e9gligeable. Elle est utilis\u00e9e dans une large gamme de domaines qui vont de la m\u00e9t\u00e9orologie \u00e0 l'oc\u00e9anographie, \u00e0 la physique et l'ing\u00e9nierie. Cette \u00e9quation s'\u00e9crit: \n", "\n", "$$ \\frac{\\partial u}{\\partial t} + c \\frac{ \\partial u}{\\partial x} = 0$$\n", "\n", "Si la condition initiale (entendue comme la forme de la perturbation initiale) est $u(x, t=0) = u_0 (x)$ , on peut montrer que la solution exacte de l'\u00e9quation est $u (x, t) = u_0 (x-ct)$, c'est-\u00e0-dire que la perturbation se propage sans changement de forme avec une vitesse $c$.\n", "\n", "Pour la r\u00e9soudre num\u00e9riquement, nous pouvons discr\u00e9tiser cette \u00e9quation dans l'espace et dans le temps en utilisant le sch\u00e9ma de diff\u00e9rences finies en avant pour la d\u00e9riv\u00e9e temporelle et le sch\u00e9ma de diff\u00e9rences finies en arri\u00e8re pour le d\u00e9riv\u00e9e par rapport \u00e0 l'espace. Pensez \u00e0 la discr\u00e9tisation des coordonn\u00e9es spatiales $x$ en points d\u00e9sign\u00e9s par un indice $i$ qui varie de $0$ \u00e0 $N$, et la disct\u00e9risation temporelle par intervalles de temps discrets de taille $\\Delta t$. \n", "\n", "A partir de la d\u00e9finition de d\u00e9riv\u00e9e (en supprimant tout simplement la limite), nous savons que:\n", "\n", "$$\\frac{\\partial u}{\\partial x} \\simeq \\frac{u(x+\\Delta x) - u(x)}{\\Delta x} $$\n", "\n", "Notre \u00e9quation discr\u00e8te, alors, est:\n", "\n", "$$\\frac{u_i^{n+1} - u_i^{n}}{\\Delta t} + c \\frac{u_i^{n+1} - u_{i-1}^{n}}{\\Delta x} = 0$$\n", "\n", "O\u00f9 $n$ et $n + 1$ sont deux \u00e9tapes cons\u00e9cutives dans le temps, tandis que $i-1$ et $i$ sont deux points voisins de la coordonn\u00e9e discr\u00e9tis\u00e9e $x$. Si on donne les conditions initiales, la seule inconnue dans cette discr\u00e9tisation est $u_i^{n+1}$. Nous pouvons r\u00e9soudre pour notre inconnue pour obtenir une \u00e9quation qui nous permet d'avancer dans le temps, comme suit:\n", "\n", "\n", "$$u_i^{n+1} = u_i^{n} - c \\frac{\\Delta t}{\\Delta x}(u_i^{n} - u_i^{n-1})$$" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "\u00c9crire un script qui effectue les calculs et les actions suivantes :" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1) Il d\u00e9finit une grille de $N=81$ points r\u00e9guli\u00e8rement espac\u00e9s dans un domaine spatial qui fait $2$ metres de longueur, c'est-\u00e0-dire $x \\in [0,2\\ m]$. Il d\u00e9finit ainsi la variable $\\Delta x$ comme la distance entre deux points adjacents de la grille.\n", "\n", "2) Il met en place les conditions initiales suivantes. La condition initiale $u_0$ a la valeur $u = 2$ (en unit\u00e9s arbitraires, dans la suite $u.a.$) dans l'intervalle $0.5 \\ m \u2264 x \u2264 1 \\ m$ et $u = 1 \\ (u.a.)$ partout ailleurs dans $[0,2\\ m]$ (c'est-\u00e0-dire une fonction chapeau). \n", "\n", "3) Il trace un graphique de la condition initiale.\n", "\n", "4) Il d\u00e9finit une fonction pour calculer $u$ au pas de temps futur ($n+1$) \u00e0 partir de la valeur de $u$ au pas de temps pr\u00e9sent ($n$). La valeur affect\u00e9e \u00e0 la variable pas de temps sera $\\Delta t = 0.25\\ s $, et on posera la valueur $c = 1 \\ m /s $ pour la vitesse de la perturbation dans le milieu.\n", "\n", "5) Il trace sur le m\u00eame graphique que celui utilis\u00e9 pour la condition initiale (mais avec une autre couleur) la fonction $u$ au temps $t=6.25\\ s$." ] }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Quelques operations utiles sur les arrays de $numpy$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Le fonctionnement de la fonction $ones()$ est analogue \u00e0 celui de la fonction $zeros()$ qu'on a d\u00e9j\u00e0 rencontr\u00e9, voir l'exemple suivant: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "\n", "np.ones(10) # fonction ones() pour un array de 10 \u00e9l\u00e9ments" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "array([ 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.])" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Il est possible de faire des cycles implicites sur les arrays de $numpy$, comme dans l'exemple suivant. Cette op\u00e9ration permet de manipuler toute une partie d'un array en m\u00eame temps, sans devoir recourir \u00e0 une boucle explicite (de type $for$ ou $while$)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "\n", "a = np.array([1,10])\n", "a = [1,2,3,4,5,6,7,8,9,10]\n", "b = a[2:7]\n", "print(\"a = \")\n", "print(a)\n", "print(\"b = \")\n", "print(b)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "a = \n", "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n", "b = \n", "[3, 4, 5, 6, 7]\n" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pour copier les \u00e9l\u00e9ments d'un arrays dans un autre array, il est possible de travailler comme dans les exemples suivants. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "\n", "a=np.array([1, 2, 3, 4, 5])\n", "print(\"a = \")\n", "print(a)\n", "\n", "b=a.copy() # premi\u00e8re m\u00e9thode\n", "print(\"b = \")\n", "print(b)\n", "\n", "c=np.copy(a) # seconde m\u00e9thode\n", "print(\"c = \")\n", "print(c)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "a = \n", "[1 2 3 4 5]\n", "b = \n", "[1 2 3 4 5]\n", "c = \n", "[1 2 3 4 5]\n" ] } ], "prompt_number": 7 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Script 4 (Bonus): Moments d'inertie d'une plaque d'aluminium" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La matrice d'inertie d'un solide $S$, au point $O$ dans la base de coordonn\u00e9es $(\\vec{x},\\vec{y},\\vec{z})$, s'\u00e9crit : " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$[I_0(S)] = \\left( \\begin{array}{ccc} \n", "I_{Ox} & -I_{Oxy} & -I_{Ozx} \\\\\n", " -I_{Oxy} & I_{Oy} & -I_{Oyz} \\\\\n", " -I_{Ozx} & -I_{Oyz} & I_{Oz} \\\\\n", "\\end{array} \\right)_{(\\vec{x},\\vec{y},\\vec{z})} $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "avec $I_{Ox}$ , $I_{Oy}$ et $I_{Oz}$, moments d'inertie par rapport aux axes du rep\u00e8re $(\\vec{x},\\vec{y},\\vec{z})$:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$I_{Ox} = \\int_{P\\in S} (y^2+z^2)\\ dm$$\n", "\n", "$$I_{Oy} = \\int_{P\\in S} (z^2+x^2)\\ dm$$\n", "\n", "$$I_{Oz} = \\int_{P\\in S} (x^2+y^2)\\ dm$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "et $I_{Oxy}$ , $I_{Oyz}$ et $I_{Oyz}$ les produits d'inertie par rapport aux axes du m\u00eame rep\u00e8re : " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$I_{Oyz} = \\int_{P\\in S} yz \\ dm$$\n", "\n", "$$I_{Ozx} = \\int_{P\\in S} zx \\ dm$$\n", "\n", "$$I_{Oxy} = \\int_{P\\in S} xy \\ dm$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Le symbole $dm$ dans les int\u00e9grales ci-dessus repr\u00e9sente un \u00e9l\u00e9ment infinentesimal de masse du solide et le domaine de l'int\u00e9gration est pris sur tous les points $P$ du solide $S$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dans ce script, nous souhaitons calculer la matrice d'inertie $I_{O}(S)$ pour une plaque rectangulaire homog\u00e8ne en aluminium." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "Image(filename='fig_plaque.jpg')" ], "language": "python", "metadata": {}, "outputs": [ { "jpeg": 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"metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "La plaque, voir aussi la figure ci-dessus, mesure $5\\ m$ de longueur (direction y), $2\\ m$ de largeur (direction x) et juste un $1 \\ cm$ d'\u00e9paisseur (direction z). \n", "La densit\u00e9 massique de l'aluminium est $\\rho_{Al} = 2.7 \\ g / cm^{3}$. A partir de ces \n", "donn\u00e9es on peut calculer la densit\u00e9 massique surfacique de la plaque ainsi que sa masse totale. \n", "\n", "Le script doit \u00eatre compos\u00e9 par des fonctions, qui effectuent le calcul des int\u00e9grales de fa\u00e7on num\u00e9rique (c'est-\u00e0-dire en effectuant des sommations). \n", "La valeur de la pr\u00e9cision ($\\Delta$, mesur\u00e9e en m\u00e8tres), indiquant le niveau de discr\u00e9tisation spatiale dans les int\u00e9grales, devra \u00eatre introduite par l'utilisateur au d\u00e9but du script.\n", "\n", "Suggestions :\n", "1) \u00e9tant donn\u00e9 le faible \u00e9paisseur de la plaque on peut n\u00e9gliger la coordonn\u00e9e $z$ dans le calcul des integrales.\n", "2) Pour une convergence rapide des calculs, choisir $\\Delta > 1\\ mm$." ] }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Multiplication \u00e9l\u00e9ment par \u00e9l\u00e9ment des tableaux numpy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Il y a deux mani\u00e8res de multiplier \u00e9l\u00e9ment par \u00e9l\u00e9ment les arraya $numpy$: soit avec le simple operateur $*$ soit avec la fonction $np.multiply$. Cette deuxi\u00e8me possibilt\u00e9 offre plus de flexibilit\u00e9. Regardez les exemples ci-dessous: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "x=np.linspace(0,1,11)\n", "print(x)\n", "\n", "y = x*x # en utilisant le symbole de multiplication\n", "print(y)\n", "\n", "z = np.multiply(x,x)[:] # en utilisant la fonction de multiplication \n", "print(z)\n", "\n", "w = np.multiply(x,x)[3:6] # choisir uniquement les \u00e9l\u00e9ments entre 3 et 5 \n", "print(w)\n", "\n", "h = np.multiply(x,x)[1:10:2] # choisir uniquement les \u00e9l\u00e9ments paires du tableau \n", "print(h)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[ 0. 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1. ]\n", "[ 0. 0.01 0.04 0.09 0.16 0.25 0.36 0.49 0.64 0.81 1. ]\n", "[ 0. 0.01 0.04 0.09 0.16 0.25 0.36 0.49 0.64 0.81 1. ]\n", "[ 0.09 0.16 0.25]\n", "[ 0.01 0.09 0.25 0.49 0.81]\n" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open('custom.css', 'r').read()\n", " return HTML(styles)\n", "css_styling()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "\n", "\n", "" ], "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "" ] } ], "prompt_number": 10 } ], "metadata": {} } ] }