{ "cells": [ { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "%display typeset" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Exemple\n", "\n", "On se donne la fonction de température en fonction de la position $T = T(x,y) = \\frac{60}{1+x^2 + y^2}$. On s'intéresse à $\\frac{\\partial T}{\\partial x}(2,1)$.\n", "Ci-après on :\n", "- Trace la surface $z= T(x,y)$ qui coloriée en fonction de la valeur de $T$,\n", "- On trace le siagramme des courbes de niveau\n", "- On fait le calculde la dérivée partielle cherchée (pour vérifier, disons)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var('x,y')\n", "T(x,y)=60/(1+x^2+y^2) # définition de la fonction\n", "cm = colormaps.hot\n", "def c(x,y):\n", "\treturn float(T(x,y)/60)\n", "S=plot3d(T(x,y),(x,-3,3),(y,-3,3),color=(c, cm))\n", "S.show(aspect_ratio=[10,10,1])" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "C=contour_plot(T, (x,-3, 3), (y,-3, 3),cmap=\"hot\",linestyles='solid', colorbar=True)# Création du graphique des courbes de niveau.\n", "show(C,figsize=6)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "(x, y) |--> -120*x/(x^2 + y^2 + 1)^2" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Tx(x,y) = diff(T(x,y),x)\n", "Tx" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On note que $Tx$ est une fonction, au sens mathématique du terme. On évalue de façon naturelle." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "Tx(2,1)" ] }, { "cell_type": "markdown", "metadata": { "jupyter": { "outputs_hidden": false } }, "source": [ "Et voici une version plus sophistiquée du diagrame des courbesde niveau." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "C=contour_plot(T,(x,-1.5,1.5),(y,-1.5,1.5), cmap = \"Spectral\", \n", " contours = 15, colorbar = False, \n", " axes = True, labels = True, \n", " label_colors='black', label_inline=True, \n", " label_fontsize=7, gridlines = True, \n", " axes_labels=['$x$','$y$'])\n", "show(C, figsize=6)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "SageMath 9.0", "language": "sage", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 4 }