{ "cells": [ { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "%display typeset" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "\n", "# Tutoriel SAGE\n", "(Éte 2017)\n", "\n", "## Une introduction éclair.\n", "\n", "Si vous lisez ceci c'est parce que vous avez ouvert une session du notebook de SAGE, ou encore que vous l'exécutez dans un des serveurs dédiés. Comme bien de logiciels, SAGE peut aussi être utilisé via le terminal, mais laissons de côté cette approche pour l'instant.\n", "Vous verrez plusieurs \"cellules\" où on doit entrer le code SAGE.\n", "\n", "On peut entrer du texte en utilisant `markdown`, $\\LaTeX$, ou `html` ce qui est très bien si on veut écrire des équations.\n", "\n", "+ Sur CoCalc, ave un fichier '.sagews' il suffit de commencer le texte par `%md`. Les commandes $\\LaTeX$ incluses seront comprises.\n", "+ La même chose s'applique sur un notebook `JuPyteR`.\n", "\n", "\n", "Faites un double click sur ce texte, on trouvera la source et on pourra l'éditer. Corrigez ceci : $\\frac{1}{2} + \\frac{1}{3} = \\frac{1+1}{2+3} = \\frac{2}{5}$.\n", "\n", "Bien entendu, le résultat est $\\frac{5}{6}$. SAGE sait faire ceci, et bien d'autre choses. Pour exécuter les commandes / calculs d'une cellule, il faut faire `Shift + Entrée`. Faites-le après la cellule ci-bas, une fois directement, puis une autre après avoir coché la case" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ] }, "execution_count": 2, "metadata": { }, "output_type": "execute_result" } ], "source": [ "1/2+1/3" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Si on veut une valeur approximation décimale on doit faire:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ] }, "execution_count": 3, "metadata": { }, "output_type": "execute_result" } ], "source": [ "5/6.n()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "ou encore" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ] }, "execution_count": 4, "metadata": { }, "output_type": "execute_result" } ], "source": [ "5.0/6" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Vous le devinez, SAGE sait reconnaître le type d'objets... pour les rationnels, il opère de façon exacte, on doit court-circuiter un peu ceci pour avoir une valeur décimale." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ] }, "execution_count": 5, "metadata": { }, "output_type": "execute_result" } ], "source": [ "pi+1" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ] }, "execution_count": 6, "metadata": { }, "output_type": "execute_result" } ], "source": [ "(pi+1).n()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ] }, "execution_count": 7, "metadata": { }, "output_type": "execute_result" } ], "source": [ "pi+1.0" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ] }, "execution_count": 8, "metadata": { }, "output_type": "execute_result" } ], "source": [ "numerical_approx(pi+1,digits=50)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Deux astuces importantes quand on cherche à faire un calcul avec SAGE:\n", "- `Tab` si vous commencez à écrire une commande, puis appuyez sur la touche `TAB`, les commandes commençant comme celle que vous avez commencé à entrer s'afficheront. Vous pouvez alors en choisir une, puis\n", "\n", "- ? le point d'interrogation après une commande, suivi de `Shift + Entrée` ramène à la documentation de la commande en question, ce qui comporte des exemples.\n", "\n", "Faites `Tab` dans la cellule ci-bas." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "numerical_" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Variables et quelques calculs symboliques" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Faisons quelques calculs symboliques. Il faut déclarer les indéterminées, toutes sauf $x$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "var('t,s')\n", "f(s,t)=s*cos(s*t)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "diff(f(s,t),t)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "diff(f(s,t),s,2)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "integrate(f(s,t),s)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "f(1,pi/4)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "integrate(1/t,t,1,2)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "factor(x^2+2*x+1)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Pour résoudre des équations, on entre la liste des équations (avec deux signes d'égalité), puis la liste des variables:" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "solve([2*x+1==0],[x])" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "var('s,t')\n", "solve([s+t==3,s-t==1],[s,t])" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Bien entendu on a intérêt à faire `solve?` puis Entrée." ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Listes et repétition" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Faire des listes ou des ensembles est très facile, la syntaxe est presque celle qu'on utilise en maths: $\\{n^2| 0\\leq n \\leq 10\\}$ s'obtient au moyen de:" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "Liste = [n^2 for n in range(11)]" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "Liste" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Le $0$-ème élément de la liste est le premier... euh... un exemple!" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "Liste[3]" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "Liste[2:7]" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "sum(Liste)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Quelques graphiques" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Quelques graphiques maintenant. En 2d, pour commencer." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "C1=plot(sin(x),(x,-3* pi,3*pi),color='red', thickness=2)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "show(C1,figsize=[4,2])" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "show(C1,aspect_ratio=1)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "On peut créer les objets graphiques séparément, puis les montrer ensemble. Plus haut nous avons crée le graphique de la fonction $x\\mapsto \\sin{x}$ pour $x\\in [-3\\pi, 3\\pi]$, en rouge. Traçons maintant la courbe de la fonction $x\\mapsto \\frac{1}{2} \\cos{2x}$ pour $x\\in [- \\pi, 3\\pi]$, en bleu et pointillés." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "C2=plot(0.5*cos(2*x),x,-pi,3*pi, color='blue',thickness=3,linestyle='dotted')" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "show(C1+C2,figsize=[3,3])" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Disons que je veux calculer une approximation d'une intégrale, naïvement. Pensons à $f(x)= - x \\ln{2 x}$ entre $0$ et $2$. On va commencer par définir la fonction, puis faire une somme de Riemann avec les points milieux.\n", "\n", "+ $n$ va être le nonbre de divisions, le pas ici est donc $\\Delta x = \\frac{2}{n}$\n", "+ Pour chaque $i$ entre $1$ et $n$, on construira $x_i = 0+ i \\Delta x = \\frac{2i}{n}$\n", "+ Le point mileu de chaque intervale se construit facilement, c'est $(x_i + x_{i+1})/2$\n", "+ On doit après évaluer $f$ en ces points, multiplier par $\\Delta x$ puis additionner.\n", "\n", "On fera les choses avec des listes, mais bien sur, ça se fait avec des boucles." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "var('a,b,n') # Déclaration de paramètres / variables / indéterminées\n", "a=0\n", "b=2\n", "n=100\n", "dx=(b-a)/n\n", "f(x)=-x*log(2*x)\n", "PtsX=[2*j/n for j in range(n+1)]" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "On crée la liste des points milieux." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "Mil=[(b-a)/(2*n)+j*dx for j in range(n)]" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "On évalue $f$ en chacun de ces points." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "F=[f(Mil[j])*dx for j in range(n)]" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "On calcule la somme, en mettant `.n()` à la fin, pour forcer un résultat en notation décimale." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "sum(F).n()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Mais bien entendu SAGE peut faire le calcul exact de cette intégrale (et plusieurs autres)." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "reponse = integrate(-x*log(2*x),x,a,b)\n", "reponse\n", "reponse.n()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### COURBES ORTHOGONALES\n", "\n", "Un autre exemple : dessiner les courbes orthogonales aux courbes $y=c\\sin{x}$. Pour chaque valeur de $c\\in \\mathbb{R}$ on considère la courbe $\\mathcal{S}_c$ d'équation $y=c\\sin{x}$.\n", "\n", "Ci bas on a dessiné les courbes corerspondant aux valeurs de $c$ qui varient entre -4 et 4 par pas de .5 (la dernière valeur est exclue, il s'agit d'une liste) elles sont en bleu dans la figure plus bas." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 8, "metadata": { }, "output_type": "execute_result" } ], "source": [ "var('c,x,y')\n", "F1=[plot(c*sin(x),(x,-2*pi,2*pi),color='blue', aspect_ratio=1) for c in sxrange(-4,4.5,.5)]# En réalité un crée un e liste de courbes, qu'on superpose.\n", "show(sum(F1),figsize=5)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "On cherche une famille de coubes (rouges) qui coupent chacune des courbes bleues, et en chaque point d'intersection les tangentes aux courbes bleues sont orthogonales aux tangentes aux courbes rouges (voir le résultat plus bas).\n", "\n", "\n", "De l'équation $y=c\\sin{x}$ on tire directement $y'=c\\cos{x}$, de sorte qu'en chaque point $(x,y)$ d'une courbe bleue $S_c$, la pente de la tangente est précisément $c\\cos{x}$. La pente d'une droite orthogonale est le négatif de l'inverse, c'est à dire $-\\frac{1}{c\\cos{x}}$. On cherche donc $y'=-\\frac{1}{c\\cos{x}}$. De l'équation originale on peut éliminer $c=\\frac{y}{\\sin{x}}$, de sorte que, en remplaçant on trouve l'équation différentielle $$y'=-\\frac{\\tan{x}}{y} $$\n", "\n", "Ceci peut se résoudre sans trop de peine, car c'est une équation à variables séparables, au pire une table d'intégrales donne l'intégrale de $\\tan{x}$. Mais essayons plutôt de le faire avec SAGE." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ] }, "execution_count": 9, "metadata": { }, "output_type": "execute_result" } ], "source": [ "y=function('y')(x)\n", "eq = diff(y,x)==-tan(x)/y\n", "desolve(eq,y,show_method=True)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Quelques remarques:\n", "\n", "+ L'option show_method = True demande à SAGE de nous dire comment il a fait pour résoudre l'équation différentielle. Comme nous, il s'est rendu compte qu'il s'agissait d'une équation aux variables séparables.\n", "+ Dans la solution présentée par SAGE il y a une constante d'intégration $c$, nous obtenons donc pour chaque valeur de $c$ une nouvelle courbe. Ce n'est pas le même $c$ que nous avions déjà.\n", "+ Le terme $\\ln{\\sec{x}}$ vient d'intégrer $\\tan{x}$. Or en réalité $\\displaystyle \\int \\tan{x} dx = \\ln{|\\sec{x}|} +k$, il manque la valeur absolue, et le $k$ que nous avons ici est la constante ci-haut.\n", "+ Les courbes de la famille orthogonale sont des courbes données implicitement (c'est ce qu'on obtient quand on résoud l'équation différentielle). On peut les tracer comme telles, il s'agit des courbes $y^2+2\\cdot \\ln{|\\sec{x}|} = Ky$\n", "\n", "Trouvez comment ceci est fait avec la commande implicit_plot." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/ext/sage/sage-8.2_1604/local/lib/python2.7/site-packages/matplotlib/contour.py:1180: UserWarning: No contour levels were found within the data range.\n", " warnings.warn(\"No contour levels were found\"\n" ] }, { "data": { "image/png": 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" }, "execution_count": 10, "metadata": { }, "output_type": "execute_result" } ], "source": [ "var('c,x,y')\n", "F1=[plot(c*sin(x),(x,-2*pi,2*pi),color='blue', aspect_ratio=1) for c in sxrange(-4,4.5,.5)]\n", "#show(sum(F1))\n", "F2=[implicit_plot(y^2+2*log(abs(sec(x)))-c,(x,-2*pi,2*pi),(y,-5,5),color='red',aspect_ratio=1) for c in sxrange(-10,10,1)]\n", "show(sum(F2)+sum(F1))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Notez que les listes F1 et F2 sont les listes de courbes, donc d'objets graphiques. Ainsi, afficher la somme des listes, affiche toutes les courbes des listes. Probablement ce n'est pas la chose la plus efficace à faire...\n", "\n", "Que se passe-t-il si on laisse tomber les valeurs absolues?" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Voyons maintenant quelques courbes en coordonnées polaires. Habituellement, on écrit $r=f(\\theta)$, si on donne l'équation explicitement.\n", "\n", "Par exemple, $r=\\cos{\\theta}$ est un cercle, car en multipliant les deux côtés par $r$ on obtient $r^2 = r \\cos{\\theta}$, ou encore $x^2+y^2 = x$ ce qui équivaut à $(x-\\frac{1}{2})^2+ y^2 = \\frac{1}{4}$" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 13, "metadata": { }, "output_type": "execute_result" } ], "source": [ "polar_plot(cos(t),t,0,2*pi, color='green').show(figsize=[3,3])" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Finalement, les courbes paramétriques $\\mathbf{r}(t) = (x(t),y(t))$ pour $t\\in[a,b]$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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wfBo4EOHt7IatF1Vawh9/4LgcGIiG3R06SEvJtzWkGhrJR6fsZmgOH0aC1ogRRDNnIl+mWze8+YYNU1s7ZbGHokpzuH2bqH17tLQMDkYUqlYtGJ3du7OHM1j1o5Ozc/YxNDdvovzfzw+RJyLk1YwcCeNz4IC6+umIJyEBGcLMSMR0cUHLhI0bcb8nTFBbQ2XQj04KkZCAqIOjI95kqS37V1+h6LJTJ2nNgXS0x/DhRKdPw8h4eb38edOm2NHOnEn088/q6acUuqFRiBEjML9q0yaiIkXS/s6Usp43L7bYcrQC1VGeNWswtWD+fKJ69V7//YgRSOTr3RttRewZ02dcNUOTK5e0MQy2wLp1CGkvWICJkulRsCBmM50/n/18NfbI338jEbN794zHo5gq/PPmJera1focE1tA9R2NuztRbKxUKdrl2jXUsXTtmvU8nmrVXg4IW71aGf10xBMXh2NyqVJYYDJLxCxQAO1fT5xAGYq9YiomtnbIoWRD4+Zmv4bGaCTq1YvI1RUGxBz69MFzBg6UNgdHRx2YMQbn5k2in37CNNOs8PODkZk+HYl89oipatvaIKMQQ2Nt6bjWmTsXkYVVq8xP0DIYYJTKlEG0wl6NsL2yYAGc/StWWNZPaOxYNKH/4ANlBhEqTUwMElOtLTfSj04Z8PffROPGIXTdrJllz82dG6thdDRWx+yYzGeLnDyJNIVhw1CZbQk5chD98AN8GQMG2N89j42V1ndKyI4mLi79Hi22SkICVqYyZbAdtoYyZZDc9eOPRN9+K1Q9HRm4fx/pCbVqIWRtDZ6eiFJt2YKIlT0REyOtgFSyocmXD9bbno5Pkyej38iaNdLqmDp0wI5o9Gg4C3W0iann7/PnSFOQ0o2gY0dkin/8sX2FvO/fT1vfZymSDU3hwvhuL+fSw4fRc+azzxBFksqMGQiJd+pkP6+RCXupdZo+Hd3y1q4VM3F1/nxEZ/r0sZ+d/r17Lz/rVsESOX+emYj5yBGpktQnJobZ25u5YUPm5GRxcm/cYC5cmLlFC7Fy1SImJoaJiGNiYtRWRTJ79zIbDMxBQWLl/vILPhcLFoiVqxZ16jD37Wv98yXvaExZsnfvSpWkPkOHonva6tVi+8sUK4Zci/37bXvYu71x/Tryo/z9iSZNEiu7RQvkX336KWav2zpSdzSSDU3+/PhQ2rqh2bULYex58zBeRTRvvQUj89ln9ptrYUskJmICae7c8MXJMR97xgz4NeyhjcjduyobGgcHKHDnjlRJ6vH0KVYff38k28nF+PEIlXfrZn/+Gltj3DiiU6eQMyPXVElXV2QW790L/4+tEhODz0jqolJLEWLHvbyIbt0SIUkdpkyBxc4q3VwqDg4vcy169bIfR6GtsXs3JhfMmJF+saRIWrYk6tIFVeC2uriYomdS5scLMTTFi9tuKO+vv9ALdsoU1LbIjacnjmi7duGYpqMst29jmsG7777s/ys3c+fi6DRypDLXE41pgJ7qhuaNN2zT0CQnoz1j5crKvgkCApCBOmYMep3oKIPRiGpsR0ckU8rhl0mPIkWwmK1ZQ7RnjzLXFMm1a/DDenpaL0OYoclqLrUWmT8fO5qlS5Wf5PDFF2gD2rmzPCUcixYtIh8fH8qZMyfVrFmTjhw5kuFjg4ODyWAwvPYVb2eNdb76Co74NWsk5oRYQffuiEQNHGh7bVWuX0fkVEokVpihefw447nUWuTaNYQ0hwwhqlNH+es7OyPkfecOHNEioxIbNmyg4cOH04QJEyg0NJQaNmxIAQEBdC2TIdJubm50+/btNF857Wi8w4kTuN/jxlleuyYCg4Fo0SIc3UxtYG2Fa9ekHZuISHrCHjPz4cNITgoPFyFNGTp2ZPbyQpKemqxdi9cuOFiczDp16vDAgQPT/Kx8+fI8duzYdB+/cuVKdnd3N1u+rSXsPXqERMz69ZkTE9XVZcIEZhcX5osX1dXDEho1Yu7aVZoMITuaN9/E94sXRUiTn19/RUvOr7+WVpEqgq5dEYEaPJjowgXp8hITE+n06dPk7++f5uf+/v50/PjxDJ/35MkT8vb2puLFi1OrVq0oNDRUujIagBl+uMeP0SlR7WGH48djprdSjmgRXL8uvTRDiKHx9ESDoMhIEdLkJTkZbQD8/BB21ALz5yNyFxho/WxjE/fv36eUlBQqWrRomp8XLVqUoqOj031O+fLlKTg4mLZt20br16+nnDlzkp+fH0Xawg3NgmXLUEG/bJk8iZiWkjs3HMM7duBL66SkwP8q9egkZCKNwUBUurRtGJrFi9HX9/Rp7czKzpsXw+Lr1kXKuoiwt+GVP46ZX/uZiXr16lG9VAklfn5+VKNGDZo/fz59m0mPizJlypDBYKBixYpRsWLFiIioS5cu1EUjFjw8HGUl/fujNadWaN8eyaHDhhE1b67tSafR0WhMrglDQ4T+K1o3NPfuoQVEv35E1aurrU1aqlUj+uYbfDDeeouoTRvr5BQqVIhy5Mjx2u7l7t27r+1yMsLBwYFq166d5Y4mMjJSswPknj/HDvHNN7GD0BIGA3oUVamC3jeTJ6utUcaYjvNly0qTIyyTwBYMzcSJOLN//rnamqTPkCEwML17o2etNTg7O1PNmjVp3759aX6+b98+atCggVkymJnOnDlDnlISJ1Rm7Fi8H0NCcFzRGuXKYVzLV19pO6v+n3/g15KczCrCK83MvGIFoifPnomSKJa//kI7gHnz1NYkc+7fRzTsrbeYU1KskxESEsJOTk68fPlyPn/+PA8fPpzz5MnDUVFRzMzcvXv3NBGooKAg3rNnD1+6dIlDQ0O5d+/e7OjoyL///nu68rUeddqzB+9Frd/rx4+ZCxVi7t1bbU0yZsgQ5ooVpcsRZmiOHMHNDQsTJVEcRiNz48Z4wdQOb5rDvn14Lb/5xnoZCxcuZG9vb3Z2duYaNWrwoUOHXvyucePG3LNnzxf/Hz58OJcoUYKdnZ25cOHC7O/vz8ePH89QtpYNzb17zB4ezP7+1htqJVm4EAtgaKjamqRP8+bMHTpIlyPM0ERH48OxebMoieL4+WfotmuX2pqYz8iRzM7OzGfOqK3J62jV0BiNzO3aMRcsyHzzptramEdSEnP58szNmkF/rVG8OHJ/pCLMR1OkCMriteanSUpCJOett4jeeUdtbczniy+IypdHns3z52prYxusXEm0dStKSqS0NFASR0cEAX77TXvh7rg4hLbLl5cuS5ihMRi06RBetozo339xM7USzjYHFxckmF26hOJLncy5eBERu759ET62Jd59FwvhJ59oa469KeKkKUNDBIXCw0VKlMbTp5gg2L27mEbjSlOpErKX58+3zapfpUhORjMxDw+0ZLA1DAYshBcuYFemFSIi8F1zhsbXl+jcOe00dFq4ED2AbXkm8pAhOPL16mW7jZPk5vPP0S1vzRrrZ0OrTbVqyPuZNk07R+V//kHGuojXVLihefqU6PJlkVKtIyYGOQoffqiN1HNrMRiwyqWk4Fhg671nRXPiBAzNpEnyd8uTm2nTkIm7aJHamoB//hGzmyGSwdAQEZ09K1KqdcydC6M3YYLamkjHw4No+XKi7duJvv9ebW20Q1wcjsW1atnHfS5TBgvjl19qY8x0RARRhQpiZAk1NB4eiD6pbWgePEBP2EGD0LDHHmjTBjOdR4yAc1sHFdDR0TgyOQorplGXSZOwQM6apa4eCQkI7FSsKEae8GaGvr7qG5pvvoGDcOxYdfUQzaxZODN3746/T23UnFS5eTPRihWoGSpdWvHLy0axYhinO3u2uiOM/v4b7zFhNYHSU3HSMno0mgypRXQ0c+7czOPGqaeDnJw4wezgwDxtmno6qJ2wd/Mmc4ECzO3bazPJTSr37zO7uuKzpBZLl+J99vSpGHmy7GiuXkWjITWYMQPb6NGj1bm+3NSrh+ZJ06Zlz8bmRiOKTl1c4K+ypdwocylYEC0kFi5Ub1dz5gwKP0UVpMpiaIgQ5laaGzfQb2bUKKICBZS/vlJMnkxUtSpyR7QSClWKBQuIfvkFkTi5Br9pgREjsGB+/bU61w8NFdtKRbihKV8ejbfV8NNMn46Yvy21SbQGJycMortyBc22swvh4SgnGTqU6O231dZGXgoUUG9Xk5KCz6+mDY2TEzzVShuaq1dRbvDpp+r3AVaCihVxTJw3Dz2Q7Z3ERDjB33wTf3d2QK1dzcWLiHyJzKaXZYRWtWrYeinJN9/AwAwapOx11WToUIwO6dVLPZ+YUnz+OVFYGNHq1US5cqmtjTKk3tUomRX+11/4rukdDRFR7drw0SjlP7h7F7uZYcNsNwXdGhwc4KuIjUVI1F75809Us0+cSFSzptraKMvw4bjPmbRuFs6JE0geLFhQnExZDE3duojBnzkjh/TXmTcPW8whQ5S5npYoUQIO0jVriH76SW1txPP8OVGPHtgljx+vtjbKU7AgmqsvWIBMaCU4cUJ8OYcshqZKFYQff/9dDulpiYnBTRgwwL4jTZnRrRtRx454DW7fVlsbsYwfD6f36tXqz2RSi5Ej4TP57jv5r/X8OTYI9euLlSuLoXF2JqpRQxlDs3gxUXw8bkZ2xWAgWrIEH0R7Krw8eBA1a198IS4V3hYxZYPPni197ldWnD6N04hNGBoiHJ/++EMu6eD5c4zS6NXLdjqqyUWhQii83L3bPgovY2NxXxs1sv90BXP49FPUda1eLe91TpzAMMjKlcXKlc3Q1KmDdhFyestXriS6fx83QYeoZUuc50eOVKZVh5y1TiNHojg2OBjO0OxOuXI4Hs+ciTwXuThxAsEc4UWqYioZXufSJTQE375dHvmJiaipCgyUR76tEhvLXLIkpj7INQVA7lqnHTvw3vn+e1nE2yynTuF1CQmRR77RiAkSctQJyrZW+PjgOHPkiDzyN29Gkp7eTzctrq6oaj50CPkXtsaDB+jJEhCA7zovqVkTvYVnzZLHD3ftGo5ncjQQk83QGAw4Xx8+LI/8uXORrGaLvYDlpmlThPrHjEGWpy0xaBAcnsuW2WfBpFRGjEBe0cmT4mWfOIHvNmVoiGBoTp1CaE4kJ0/iS3cSZsyMGUSenqh01koP56wICSHauBGtLLO7cz8jAgKQTCdHE/YTJ1DiUaSIeNmyGpqGDREqE219587FC9KypVi59kSePHCWHz2qbFaptdy6hd1Mp05o0q2TPg4OyIDftIno+nWxsk+eFB/WNiGroalYEUl0Io9P168jA3bYMD0akRWNGuF1GjdO2+0/mYn69UOSp1Yac2uZnj1RaiPSB/f8OeoT5WrwLutH1cEBuxqRDuEFC/Ai9+4tTqY988UXSPjq1UvesKgUli8n2rULfhmR9TX2St68cJR//704t8SJExhe16iRGHmvIvueoFEj/BGJidJlPX2KF/fDD7NX8aQUcudGLsrJk0hu1BpXrsDB2bevfhS2hCFDUH7zww9i5B08CCNfqZIYea+iiKGJj4dTWCqrVyNjNDsWT0rBzw8f5okTMatHK5jachYsiPR6HfMpWRKjf+fNE+PsP3CAqEkT+dwRshuaatWw+5DqpzEa8aK2b2/bA+HU4vPPiby9cb7XwgQFIhyDDx3Cjis7NCsTzfDhWDj27ZMm59kz1CU2aSJErXSR3dA4OmJFlWpoDhzAbOKhQ8Xold3IlYto1SrsLNWeGUSE/J6xY9FHR843uD3j54fiZamh7uPH4Z9p2lSMXumhSNymUSOEWaWspIsXI4rVsKE4vbIb9eqhcfvkyei/qxamI5OXF6Yy6liHwQBDvWcPfF3WcvAginLlrJBXxNA0a4amPX/+ad3zb90i2rqVaOBAPVtUKtOmEZUqhSiU1COUtUWV336LhWfFCuT76FhPp05E7u5ES5daL+PgQewqZf1siS+fep2kJGZ3d+apU617/rRpGAr3+LFYvbIrv/+O4WDTp1v3fClFlRcuMOfMyTxsmHXX1nmdIUOYixZFobGlxMQwOzoyL1okXq/UKLKjcXTE+W//fsufm5yMkHbXrrDcOtKpUwetNYKC0PBbKVJScGQqXhz5PTpiGDCA6M4dom3bLH/ub7/hMyb3+BrFcmtbtEA+jaV9T3ftwmC4gQPl0Su7EhREVLYWSsE2AAAgAElEQVQsolBJScpcc948vAdWrhQ3AVEHTaoaNLCu1efevZhdXqqUeL1So5ihad4cltPS6NPixWjEk92638uNiwvCyufOKeOQvXCBaMIEhGT/9z/5r5fd6N8fYe5Ll8x/DjMMjRLD+BQzNGXKoGO/JTH/q1fxQui7GXmoVQt1UJ99Ju/ECtOR6Y03kM+jI55OnYjy5UMZh7lcvIholV0ZGoOByN8foThzCQ5GVKJTJ9nUyvZMmkRUoQKiUCLKRNJjzhyUQAQH60cmuciVC2NpVqww/z7u3YuG9nLmz5hQtP45IABbaHP62RqNOMsHBup1TXLi7AwDEB6O2eWiiYhA6cPIkfAj6MhH//4YpmiuU3jvXiT9KfH5UtTQNG+OCNTu3Vk/9rffcHTq00d+vbI7NWrAfzJ9+stxqCJITsZOqWRJHM905KVSJRgOc5zCiYnItlfi2ESksKFxc4Mj0BxDs3w5tvRy9cfQScv48Rj816uXuNlBs2ah5CE4OPvMy1abvn2Jfv0166ZYx46hG4JdGhoionffxW4lPj7jxzx8SLRlC3YzeiawMpiOUBERYnYf58+j1GHUKH2xUJL33iPKmZNo7drMH7d3L1p2+voqo5cqhub5c1TtZsT69YhUdO+unF46eNNNnox+w9aWixC9PDKVKoWSBx3lcHUl6tABBbSZTUrYsQOfRaW6VCpuaCpWRJh7586MH7N6NV6EokWV00sHjB0Lg9OrV+a7TqKMa52+/hqjVYODsbrqKEuPHmgfkVEPqEuX4Pxv00ZBpeStcEifQYMw/M1ofP13//yDIVk//qi4Wjr/ERbG7OTEPHZs+r/PrNYpLIzZ2Zl5zBiZldTJkORkZi8v5sGD0//9nDnMLi7McXHK6aRKe++2bRFROnfu9d+tWYOaplatlNdLB1SujBKFmTPREMlckpKwEypdGs/XUYccOYi6dYMLIr2cmm3bMIhOybQRVQxNkyaIQP38c9qfM8PQvP++vuVWm08/Rdi7Vy/41Mxh5kxkGOtHJvXp0QNBlV270v780SOUASl6bCKVDI2zM5L3XjU0x44RRUXBGuuoi6MjHIqXL8NBnBVhYURTp8JA1a4tv346mVOpEuoDV61K+/PduxFoUfrEoNpkpLZtkRyWOt7/ww9wFOtd9LRBxYoIdc+ahXaPGZGUhCrwsmWJpkxRTj+dzOnRA0GX+/df/mzbNtS4FSumrC6qGZqAAKya27fj/wkJGIf6wQf6YDgtMWoU+tf06oUm1ukxYwb8batWoSpcRxsEBqKUZ9Mm/D8xETsapY9NRIIMjaWtHIlQadq4MVp0EqHY8vFjGBpbwpq/3ZbIkQM+l2vXULP0KmfPYtczdmz2aeVhK/e8SBG00d2wAf8/eBDjiqQYGmv/dtUMDRFGpxw4AKfVhg2Idsg1wEoubOVNJ4Xy5VEHNXdu2qmjpihT+fKoAs8u2NI979wZBub2baIff8TM+qpVrZenqqGxlg4d4JgKCcHZsXNnNbXRyYzhwzEAvk+fl2NYv/kGTuDgYP3IpFXat4eLIiQEZT3vv69OWY8qhsZkFT09UWQ5eDDevJkZGkstqTWW15rn3Lx5U/ZraOFvz5EDbTtu3EB0iQgZwOPHIwwuh15afa20eM8zek6BAugDNXIk0YMHMDRSrmHp325CVUND9PIP9/FBFz5znmPpNeR8jhbfdHJdo2xZtP00tSEoXz59v40ovbT6Wmnxnmf2HNMC7uREVL26tGtYa2gcLXkwM1NcOt3Fk5OTKTY21mw5qR/v54efOTnBUWXOcyy9hpzPYWbN6SXnNXr1IhoxAo+bNi2W4uOzromyVi+tvlZavOeZPceULsKcdjiAyL/d1dWVDJmcyQzMmdV4piU2Npbc9ZknOjo6rxATE0NumQxQt8jQZLSjkUK3bsilcXJCValux7RLYiJSEohi6fz5N4joOm3b5vbfz3S0yvDh8K8RIR2hZEnx18hqR6NK9baJZ88wgXLwYGaDgXnlSjW10cmKiRMx1fDoUVRv+/nFsLc3c2ys2prpZERSEnPhwswDBqCqfs4cdfRQNby9fz+yTYcMQaFlVl3BdNTj1Ck4gidNQstPIqKFC5He/skn6uqmkzEHDxLdu4e0hObNX68vVApVDc2WLYhclC+PI9SvvxJZ6dTWkZH4eNQy+fpiDpQJHx+EuL/7zrJ5XTrKsXYtkvRq10Z94eHDCHMrjWqGJjkZSXrt2uH/HTuiqtuGki6zDUFBGDa2ahV8aakZMABp7n37Zh411FGe589R5/TBB0jSa9MGkafMulvKhWqG5vhxWNb27fF/d3e8EGvWqKWRTnqcPIldy9SpKBF5FQcHTKx49AgFmDraYccOhLNN9YMeHkR1676sL1QSyYZm8+bN9Pbbb1OhQoXIYDDQGTNnq27ZQuTlhZJ1E926wSseFiZVK3EwMwUFBZGXlxflypWLmjRpQuHh4Zk+JygoiAwGQ5ovDw8PhTQWx/PnyJupVYto9OiMH1eyJFpJLFtm2SRSrbJo0SLy8fGhnDlzUs2aNelI6gKvVwgODn7tXhsMBoo3N7lIRtauxb0rW/blz9q1wwQEc5uZEREdPnyYWrduTV5eXmQwGGirFZZKsqF5+vQp+fn50YwZM8x+DjOsatu2aVtCvPMOUcGC2nIKz5w5k2bPnk0LFiygP//8kzw8PKhFixZZhvkrVapEt2/ffvEVpiXraSaTJqERWXAw6mUyo18/ohYtiD78EFX4tsqGDRto+PDhNGHCBAoNDaWGDRtSQEAAXbt2LcPnuLm5pbnXt2/fppwqtxg0ddd7tRtC27YIwOzfb76sp0+fkq+vLy1YsMB6hUSFr65cucJExKGhoVk+9swZNCD/5ZfXfzdoEHPx4swpKaI0sx6j0cgeHh48Y8aMFz+Lj49nd3d3XrJkSYbPmzJlCvv6+iqhomwcPYqUg6+/fv13GTUnv3qV2dWVuXdvhZSUgTp16vDAgQPT/Kx8+fI8NoNO7StXrmR3d3clVLOI775jdnBgvn379d+VK8fcp491comIt2zZYvHzVPHRbN0Kn0x6iV7duqFwL7O5T0px5coVio6OJn9//xc/c3FxocaNG9PxzFrOEVFkZCR5eXmRj48PBQYG0mVzBo5rhGfPcGSqV49oxAjzn1eiBNGcOUgOU8PhKJXExEQ6ffp0mvtNROTv75/p/X7y5Al5e3tT8eLFqVWrVhQaGiq3qlmyejXC2emd2Nu1Q5JsSopy+qhiaHbuxChOZ+fXf1evHsJxWnAKR0dHExFR0VcGTBUtWvTF79Kjbt26tHr1atq7dy8tXbqUoqOjqUGDBvRAjbiiFYwbB2MfHIyqbUvo0wdH4H794CC2Je7fv08pKSkW3e/y5ctTcHAwbdu2jdavX085c+YkPz8/ioyMVELldPn3X/Tf7tUr/d+3bYvcmhMnlNPJIkOzdu1ayps374uvzJxkGXHnDqYgtmyZ/u8NBuxqfvrJMoeVCF79+5KSkv7TKW1qNTNnmm4dEBBAHTt2pCpVqlDz5s1p53/L+6pXO0VrkEOHiL79Fsl5qZ2I6ZHeADmDgWjpUuyKhg+XWVmZsOR+16tXj7p160a+vr7UsGFD2rhxI5UtW5bmz5+vhKrpsmoVTgym1JFXqVsXwxm3bVNOJ4uqt9u0aUN169Z98f9iVnQ43rMHb8Z33sn4MR98gHDq9u1EnTpZfAmrefXvS/hv2n10dDR5enq++Pndu3dfW/UyI0+ePFSlShVVVzlzePKEqHdvVPsOHZr140NCQtItpCteHN34evdGfpQaPWqtoVChQpQjR47Xdi+W3G8HBweqXbu2avc6JQWGpksXoly50n+MgwN6du/ejRE5SmDRjsbV1ZVKly794itXRn9JJuzciSzFIkUyfkyZMjhCBQdbLF4Sr/59FStWJA8PD9qXKu01MTGRDh06RA0aNDBbbkJCAkVERKQxVlpkzBjsOFeulN4gvmdP7FoHDFAnE9UanJ2dqWbNmmnuNxHRvn37zL7fzExnzpxR7V7v34/s+t69M3/cO+8Q/f132ikksmKd7/klDx484NDQUN65cycTEYeEhHBoaCjfTsfdnZjI7O7OHBSUtdxlyxD1uHZNqobSmDFjBru7u/PmzZs5LCyMu3Tpwp6enhybqpKwWbNmPH/+/Bf/HzVqFB88eJAvX77MJ0+e5FatWrGrqytHRUWp8SeYxf79iAQuWJD1YzMbiZuamzeZ8+Vj7tpVkJIKEBISwk5OTrx8+XI+f/48Dx8+nPPkyfPi3nXv3j1NBCooKIj37NnDly5d4tDQUO7duzc7Ojry77//ror+nTszV6yY/rjp1Dx4gKjU999nLTMuLo5DQ0M5NDSUiYhnz57NoaGhfPXqVbP1kmxoVq5cyUT02teUKVNee+yhQ3gz//FH1nLj4pjz5mWeOlWqhtIwGo08ZcoU9vDwYBcXF27UqBGHhYWleYy3t3eav7dz587s6enJTk5O7OXlxR06dODw8HCFNTefmBjmEiWYmzY1L63AXEPDzPzDD7jnmzcLUFQhFi5cyN7e3uzs7Mw1atTgQ4cOvfhd48aNuWfPni/+P3z4cC5RogQ7Oztz4cKF2d/fn48fP66C1swPH2KmdnopCenRoAFzhw5ZP+7AgQPpfsZTvw5ZoWibiEmTmAsUMD9Hpm9ffACSk+XVK7vTvz+M+pUr5j3eEkNjNDK3acNcpAjzvXvS9NTJnHnz0MYjvdyZ9PjsM2Y3N5w05EbR8Pb+/Rgubu75/8MPMU/o11/l1Ss7s3cv0fffY6KBHA2RDAZUdycnowm9jjwwEy1ZgtpBc6tdAgJQCJtFSpgQFDM0sbFEf/wBQ2MudetiztPy5fLplZ15/BhV182bE/XvL991PDzQu2bjxpfDzHTEcuQIUUQE0cCB5j+nenWiwoWVqU9TzNAcOoTQW/Pm5j/HYMCuZssWREN0xDJyJKp7ly+Xf9ZP586YeDFoEFEmuY46VrJkCfKemjY1/zkODlj4lTgxKGZo9u/H1rxUKcue16MHslNXrJBFrWzLzp0IY8+Zg9IBuTEYiBYtQnFmv37Y6uuI4e5dJLgOGGD5gtG8OdHp0/JncStqaJo3t/yFKFAAyUfffadsbYY98+gRPuwBAVnnW4ikUCH4g3bsQFKZjhiCg7E76dnT8uc2b05kNKLlp5woYmhu3SI6f96yY1NqPvqI6OpVZDLqSGfYMJQILF2q/HjUtm2xSx02TMFkMTvGaMQi3KkTWqxYirc3agstaRthDYoYGtMZsFkz655fuzYa+CxaJE6n7MrPPxP98APqmayoIBHCvHlErq4owNSPUNLYv5/o8mXLnMCv0ry5/H4axQyNry883Nby0UfwjttQtwXN8eABzvGtWxN17y5dXnpFleaQLx98bvv3w4mpYz2LF2MqRf361st46y2iCxdQsS8bcifqGI3MxYoxjxolTc7Tp0hnHz1ajF7ZkcBA5vz5mW/dkibHkoS9zBg4EHO9Ll6Upk925fp15hw5mBculCbn3j1kb69aJUav9JB9R3PhAoq8rPXPmMidG6HuZctQZaxjGT/9RBQSQrRgAZFWaju//hrtCnr10h391rBwIT4X3bpJk1OoEBrPW9H1xWxkNzQHDiCkaRo0LoWPP0behx6xsIy7d3H07NABETytkDcvIibHjqGthI75PH0KJ/CHHxJlMvLabBo1krerpeyG5tgxoho1iPLkkS6rRAn0N5k3D952naxhRpIcEc7zSkeZsqJRI7QLnTABkUkd81i9migmxry+QebQqBFRZCTR7dti5L2K7Ibm+HEiC1q3ZMmIEXhBbLEnrRps3IghYosWZd4DSE0+/xxTL3v2JPqvqaFOJhiNSLTs0EFcfVqjRvgu1/FJVkNz+zbRlStEfn7iZNarhy99q5010dHYzXTqhPR/rZIrF47Df/1FZMHUnmzLrl1YbEeOFCfT0xMN5w4fFiczNbIaGlNVqMgdDRF60f72G4bN6aQPM3IrHB3hNNQ6deqgKfq0aUQaGCKgaWbPRsGxlJB2esjpp5HV0Bw7hq2dl5dYuR07Er3xhr6ryYy1a5Gct2QJogq2wOTJRBUrInP4v3bNOq9w5gwCLCJ3MyYaNkR7TzkGAMq+oxG9myHCKv3xx0Tr1umVwOlx6xZen65dX842twWcneHkvHABzel1XmfuXARFOnQQL9u0Q/r9d/GyZTM0z5/jzC3SP5Oafv2InJwQSdF5CTNem5w5iVSc+GE1vr5EQUFEX31FdPKk2tpoi9u3sbgOHZr1iGJrKFMG9VJyzHuSzdCcOoUIglyGJl8+5BDMn4/cGh2wdCmchUuXovLdFvn0U9S29eyJ4k8dsHAhkYsL3vdyYDAg0GJThubYMRTOVa4s1xWIRo9GlrBeLwMuXcLZvV8/olat5L+etbVOWeHoiCjUtWtE48cLFW2zxMbC0PTrh+FwclG/Po5OwvPU5KptaN2auUULuaS/pF8/5qJFmZ89k/9aWiY5mdnPj9nHhznVJBhZEFXrlBVz5qAG57ffZL2MTTBjBrOzM/ONG/Je59df8Zr//bdYubLsaJjlcwS/ypgxmCOc3fsKf/01XvPVq7GTtAeGDiVq3BjNubLz8fj5c4S0e/WSv7VHnTpooiX6+CSLoYmMREsCJQzNm2+ifmfmTKLERPmvp0XOnkVo+NNPif73P7W1EYeDA9pJ3L9PNGqU2tqox/LleA3GjJH/WnnzIsXg1CmxcmUxNCYla9WSQ/rrjB+Pbm1r1ihzPS2RkIDeMhUq2GdIuFQpolmz4NzOjh0WExOxiHbpYnm/bWupWdNGDM3p06hdUSrqUbEi8gq+/BLzg7ITkyYh7+SHHxCRsEf69yd6+22MhrGVOd6iWLsWi+i4ccpds1YtorAwsScE2QxNzZpySM6Y8eOJLl4k+vFHZa+rJkeOYPDbZ58RVa2qtjbyYTDg+BAfj7KK7NL+MyUFtV/t2mG+mVLUrAkj8/ff4mQKNzRGIxL1lDY0NWuiq//06dmjhURcHPJM/Pyyh/+iWDH0X/npJ+zesgMhIUT//osWGkri64sRRyKPT8INzcWL+BAobWiIcEPCw4m2bVP+2kozYgSibatW4U2RHXj/ffijhgwhiopSWxt5SU6Gz611a+V8nSZy54Y74vRpcTKFGxqTcjVqiJacNX5+CId+9pl9b6+3b8dRYs4c5RyEWmH+fPj+evSw7/afP/yA6K1aDn7RDmHhhubsWRR9WTNjRgRTp+LotnmzOteXm3v3kILeqhWco9kNd3fkCh09Cv+UPZKYiHYZHTpgPrYaVK+O04Go4IpwQ3PunLqOycaNiVq0QDTG3lY8ZkRgUlLUGf6mFRo1IvrkE9xje+xdExyMgYlqpitUrYrUichIMfLsztAQwSEcEYFKV3ti6VKirVsxCcLDQ21t1GXaNPgRunVD5qy9kJCA1qadO8tbJ5gVVarge1iYGHlCDc3DhxitorahqV0bIcGgIPvpQfvPP+gsOGAA/jYtIFdRpTm4uCDH5NIlZXNM5GbpUnyGgoLU1aNgQbT3PHdOkECRhVMHD6Ig6/x5kVKtIyyM2WBgXrJEbU2kEx/PXL06c7lyzE+eqK2NckWV5mAqvPzlF7U1kU5cHAqEe/RQWxPg78/cpo0YWUJ3NOfOYaUpU0akVOuoXBlp29Om2X5Pk4kTkTy1fr2YsTX2xNChGOnaqxd21LbMN9+gjea0aWprAqpU0ejRKTycqFw5ebp/WcNnnyFKM2eO2ppYz/79eAN+8YV6EQgt4+AA5+nz5xiSZ6tpDbdvowJ/6FAib2+1tQFVqmCKiYjKeaGG5p9/UNynFUqVIho8GG0h795VWxvLefAA+SLNm8vTjNpeKF4czc82boTfxhaZMgXtV7XU6MvkjI6IkC7Lrg0NEY4dOXLYXmUzM/JlEhKQ/esg+6g/26ZTJ0SgBg+2vazh8HAkYE6ahBa1WqFcOXy/cEG6LGFv30ePiO7cISpfXpREMRQsiNKE776DIbQVTKHs5cvFj6uxVxYsQNbwBx/YVhX/mDHodmAaXawV8uZFjZmmDI3pQ6w1Q0OE2pjixYnGjlVbE/MwhbL797cslM3MFBQURF5eXpQrVy5q0qQJhYeHZ/qcoKAgMhgMab48bDRJx90dPYlOnkQulS1w4ADGO3/5JcbNaI3y5cUs0EINjcFAVLasKIniyJkTztSffyY6eFBtbTInIQHzmEqUQPtGS5g5cybNnj2bFixYQH/++Sd5eHhQixYtKC4Lb16lSpXo9u3bL77CRIUaVMDPD90Gp017OSlVqxiNaLBfrx7Re++prU36lCsnZkcjLI9m7Fhmb29R0sSTksJcrx5zlSrMSUlqa5Mxo0czOzkx//WXZc8zGo3s4eHBM2bMePGz+Ph4dnd35yWZJBNNmTKFfX19LbqWlvJo0iMpCY3aS5ZkfvxYbW0yZtUq5AAdOaK2Jhnz7bdoip6cLE2OsB3NpUvo36tVHBxQ+fv33/DXaBEpoewrV65QdHQ0+fv7v/iZi4sLNW7cmI5nsbRHRkaSl5cX+fj4UGBgIF2+fNka9TWDoyOOUA8fas/vYSI2Fj2eO3XSdp/nUqVQ5Hn7tjQ5wgzNxYtEpUuLkiYPtWqh4nnSJDR71hIPHqCR1VtvWRfKjv5vNnDRokXT/Lxo0aIvfpcedevWpdWrV9PevXtp6dKlFB0dTQ0aNKAHNt4zs2RJhLzXrdNmo6xp05CfovUK9JIl8f3qVWlyhBgaZu3vaEyYOvBNnKi2Ji8xhbLj480PZa9du5by5s374ivpv6Iuwysl3cz82s9SExAQQB07dqQqVapQ8+bNaefOnUREtGrVqix1KFOmDHl4eFDNmjWpTZs2qtU9ZUSXLshD+ugjdKrTChERRPPmIRr6xhtqa5M5puRBqSkDQnJ4Hz7EVtAWmjAVKYKcmhEjUKCohWxbUyh7yxbz5/a0adOG6tat++L/CQkJRISdjaen54uf371797VdTmbkyZOHqlSpQpFm9AeIjIwkNzc3s2WrwcKFmLzYuTNmFeXMqa4+zC+zf22hBWvevESFCkk3NEJ2NNev43uJEiKkyc+gQUgs/Phj9fsLWxvKdnV1pdKlS7/4qlixInl4eNC+fftePCYxMZEOHTpEDSwYsJWQkEARERFpjJUtkzcv0YYN2EWMHq22NlhM9u/HjsZWplaULCkgCVKEZ3rbNnjPb94UIU0ZTKM/ly1TT4eEBLFV2TNmzGB3d3fevHkzh4WFcZcuXdjT05NjU83IbdasGc+fP//F/0eNGsUHDx7ky5cv88mTJ7lVq1bs6urKUVFRGV5H61Gn9Fi0CPd70yb1dIiJYS5enLllS/V0sIaOHaWPtxZiaBYuZHZ0lB4CU5ru3Znz52e+c0ed6w8fjlD26dNi5BmNRp4yZQp7eHiwi4sLN2rUiMPCwtI8xtvbm6dMmfLi/507d2ZPT092cnJiLy8v7tChA4eHh2d6HVs0NEYjPjD58jFfuaKODoMGMefJw5yJDdcko0YxlykjTYYQQzNunLZzaDLi7l3mggWZP/hA+Wtv2YIVdt485a8tFVs0NMzMjx4ht6ZePebERGWvffSo7d7v+fORS5OSYr0MYT6a4sVFSFKWwoURXly7liiVa0N2oqIwuL59e/iJdJQhXz7MSjp1StmoY3w8oor16qHo09YoWRK5NJlkSWSJMEOj9TBdRvTsSdS0KSYgKtEgKzGRKDAQb/rly7Nvg3G1qFsXdUUzZxLt2aPMNadPR/rHsmW2OYPLFOK+ds16GUIMzY0btmtoDAYkdt28iUZZcjN+PGZfhYQQ5c8v//V0XmfkSEw17dGD6NYtea8VFoaxtuPHKzvWViSm7AgpPZ0kGxpmGBpbPDqZKFsWW+mvv8ZMKLnYsYNo1iyspqlSYHQUxsEBiZFOTuhhI9dYnpQUHJnKlrXtBuoFC2JBVtXQxMWh4rhIEamS1GXMGLQu7NULxxvRXL+OY1qbNsib0VGXwoVRnnDokHwtJebPJ/rzTxyZbCVnJj1y5ICxUdXQmEpi1JpMKQonJ/SejYjAXB2RJCXBL5M3L9HKlbpfRis0boyWElOnwuCI5MoVlBgMGUJUv75Y2WpQpIhGDE2hQlIlqY+vL45QX3wh9gg1aRLRH3/AL1OggDi5OtKZOBGTL7t2RSN7ERiNyPQuVMh2GnBlReHC0l4ffUfzCuPHYwBet25iolC7dqE5+hdf2MfKlho1B8iJIkcOpDckJcHYiPDXzJ2LMoOlS4lcXaXL0wJSdzSSE/bWrkUikhYGm4ni/HnmXLmYP/pImpwrV5B53LKltGQnrWGrCXuZ8euvzA4OzOPHS5Nz+jSyvUeNEqOXVhg8mLlqVeufL2RH4+JClDu3VEnaoUIFtNFcvJho+3brZMTHoz1jvnzoh6JPMdA2zZohv8bU8tUanjxBa4oqVSDHnihcWAM+GlP4y54YMICodWuiPn2sy4gcOhTd/DZt0vNlbIVPPiHq0AH5Ndb0rxk2DPlY69drs9G4FPLlQysYa5FsaB4+tM8PksGAzF1HR4S8LWknsXIlzueLFmmj342OeRgMuHeenjA4T56Y/9wNG4hWrEBIW4sN+qXi6gqfpbVjbCQbmvh4+zo2paZwYYS89+7FG8gczpxBv5u+fbEb0rEt3NyINm9GPdqHH5o3YjcqClGmzp2xKNkjpv5mlhjf1AgxNGp3LZOTt99Ggt2nnxKdPZv5Yx89IurYkahiRQwz07FNKlbEzmbDBqJvv838scnJiFblz49SFntzIZgwRc+sPT7phsYMvvwSdSodOxI9fpz+Y4xGnO0fPiT66Sf7f03snfffR6vN0aOJjhzJ+HHTpiFHat06bY2zFY3p/fxfx1iLkWxoEhJsO73aHHLmhPF48ADGJD1/zeTJmDi4di3Gm4v0VG4AAA5mSURBVOrYPjNmYCBdp07pjxs5fBgJeVOmEFnQLdUmMX3GrS3P0Xc0ZlKqFIzI9u3Y4aTmxx/xhvvyS6J331VHPx3xODri+OTggB1O6g/ZzZsoK/nf/5Dkae+Yomiq7Wiyi6EhghGZMgUlBb/8gp+dPQsHYGAg/Dg69kXRotjN/vEHwt9ERM+fo5F8jhwwRLbYY8ZSpO5oJI9biY+3/6NTaiZPxviOrl1hbDp2xHxivYmV/VK/PtGcOSiQrFMHR+TwcKKjR4k8PNTWThlMOxrVDE128NGkxsEBRyhfX6KaNeGNP3jQfkP8mREYGEiOjo7UpUsX6tKli9rqyMqgQdjVdOuG/2/YQFSjhro6KYmTE76rZmiIst9KXqAA+qjeuAFDY6vdBaUSEhKi+QFyojAYiFq1Ilq9Gv/381NXH6UxBUCsPSZK9tE4OlqfLWirrFyJbXOzZohGZAdnYHbn77+RgFm/PqaJtm2rTI9prWD6jDtauTURYmj+G/ucLTh5Eo3M+/VDK4BZs9AGYvFitTXTkYsHD9AZsVQp+OW2b0eDtN69zcsctgdMhsbaHY3ko1N22tFERSHaUKsWMn8NBszwvnoVjsLixVGIqWM/JCWhCj8ujui339AlsXp1HKHee4+ocmVEIe0dfUejEI8fI7ydJw/R1q1pq3NnzcJWOjAQPWJ17ANmzGE6ehRV+CVLvvxdx47ICp48Gb+zd6TuaCQbmty5kVdgzyQmopo3Ohod8woXTvt7U5e2qlXhMLxyRR09dcQycSKq8JcuRbvP9H4fGEjUvbv9LzBPn+K7tdFVyYbG3Z0oJkaqFO3CjMrcY8ewkylXLv3H5cpFtG0bqlwDAl62ONWxTWbNQvOqb77JuCLbYEBrCF9fHJmjopTUUFlMn3Fr67l0Q5MFn32GGUArV6a/qqWmcGGi3bthZNq1QzKjju2xciWKKceNQ2FlZpgWmDx5cLR+9EgZHZXG9Bl3d7fu+UIMjZTOW1pm9WqUHHz+OTKBzaF0aUQlTp1Cf5Ls4L+yJ7ZsQR+aAQPMn2BgWmDu3MERW465YGoTEwN/bK5c1j1fiKHJqHWCLXPwIN5wffpYnidTrx6aJ+3eTfTBB9knKmfr/PYbfC7vvUe0cKFliahly+Joffw4mp7ZW9g7JgbHJmuTcyUbmiJFcFSwp5U7IoKofXsMGLO2mVFAAKq6t2zBGV+usas6Yti/H478Jk3QTN6a6ErDhjhmr1lDNHascBVV5f59aTPJJOfRFCsG6x0dbR+p+DduwEgUL46qXVONhzW0bYtoVJcuSOE2zXvW0Ra7duHI07QpdqJSGosHBuIINXw4Kr9HjhSnp5pcvy7t8y3E0BChP4etG5oHD9C6kxnHHmsdX6np1AmFmF27ot/qxo3201bDHooqt27FPXr3XRRKiigQHjYMxmbUKPhvuneXLlNtbtyQ2HRd6mCp+/cxQO6nn6RKUpfYWOY6dZgLF2a+cEG8/F27mHPmZG7WjDkuTrx8JbGXAXIhIcw5cjB36sScmChWttHI3Lcvs6Mj886dYmWrQfHizBMnWv98yT6aAgVQwXz5slRJ6pGQAJ9MRATRnj3yjMsICMA0hT//JGrRwn7DoLbC6tXYZXbtiuOt6COtwQD/XsuWyCI+cECsfCVJTETxcPHi1suQbGgMBqLy5fEhtUVMM5ePHUNYWs4eI40aIbLx77/wB9y5I9+1dNLHaCQKCiLq2RMRxeBg6+t3ssLRkSgkBPe9VavMm5xrmchIBDMqVLBehpBBrRUq2KahSU5GI6Pt2xEhatxY/mvWqkV06BDGi9atSxQWJv81dcCTJ+j9O20asn6//17+UcU5c8IPVK8e/EAnTsh7PTkID8f3ihWtlyHkZS5fnuj8edvKHUhJwaq2eTOcgK1aKXftypXRbiJfPnTP37FDuWtnV6Ki0Kzql1/wwR83TrmGbabs4erVid55x/bqosLDkcZSqJD1MoQYGl9fZAfbSjFhSgq2zRs2YE5y+/bK61CiBKqC33oLvU5mz7YtQ21LHDlCVLs2djQnT+L1Vpo8edBruFIlIn9/otBQ5XWwlrAwLI5SEGJoatfG999/FyFNXpKTkbm5Zg2+3ntPPV3y5sWOaswYhEL79bPP9HU1WboUnRCrVEHP30qV1NPF1RVpE2XKEDVvTnTunHq6mAszjnt160oWJIY332T++GNR0uQhPp65Y0eENNeuVVubtKxaxezszNygAfOVK2prkzm2EN5OTGQeMgSpF0OGiA9fS+HhQ+bq1ZkLFWI+fVptbTLn8mW8htu3S5MjzND07ctcsaIoaeJ5+pT57beZXVyYf/5ZbW3S5/hx5pIlmd3cmNesUVubjNG6obl/n7lpU+SwfPed2tqkz4MHyNtyc2M+dEhtbTJm5UpmgwGvqRSEGZr162H5btwQJVEcjx8z/+9/zHnyMO/fr7Y2mfP4MXO3bngtu3ZlfvRIbY1eR8uG5uhRZh8f7Ba0/AFmRpJos2ZI5NRqUl+nTjCIUhFmaB48wAqyYIEoiWK4e5e5Rg3mfPmYT5xQWxvzWbsWq523N/Phw2prkxYtGpr4eOYxY5gdHJjr19f+8dPE8+fMbdvis6O143xiIrO7O3NQkHRZwgwNM/M77zA3aiRSojTOn8fqVrQo89mzamtjOVeuYCfm4MA8YYJ2/AwmQxMQEMCtW7fmdevWqarPmTPMVaowOzkxf/klc3KyqupYTFISc8+e2MV+/jnKF7TA9u3QKTRUuiyhhsZ0nrt+XaRU69i3D9a4UiXbWd3SIzkZb74cOZhr12Y+dUptjbSzo3n2jHnyZBiYqlVhcGwVoxE7ByLm3r2ZExLU1giBk6pVxcgSamhiYpjz5pVWfCWC77/HB/Ptt+HzsAdOnoSznYi5e3fma9fU00VtQ2M0Mm/dCse5kxN2e/HxqqginB9+wN/UrBncEWpx9y6ioLNmiZEn1NAwMw8dCkfcs2eiJWdNQgJC7ETMgwZhS2pPJCUxL1nCXKQIHIjjx8O4K42ahiYykvndd3GP335bnkp7tTl0iLlAAeYSJbDAqMGECcy5czPfuydGnnBDc/EidhPffCNacuZcu8Zcty5Wg4ULtXPOlYPYWOwac+WC0Vm8WFmjqoahuXyZecAArLLe3sxbttj3Pb56lblePbyf58xR9m999AiBiFGjxMkUbmiYmQcOhH9ElDXMiq1bmQsWZH7jDfVWADW4fh1ORIOBuUIF5h07lHlDKmloIiKYe/TA4lW4MJy9T5/KfllNkJDAPHIkdm/t2yuX6jBqFBaxW7fEyZTF0Ny5A4vYtau8b/zYWCQKEjG3aaOcYdMaf/2FMz0Rs58fcprkdCYqYWhCQ5nffx9GtFgx5rlzs4+BeZUtW7Bw+/gw//qrvNcKDYVRnzFDrFxZDA0z87p1eOMvXSpettHI/OOP2MHkyYNr2PM22hyMRuxomjTB616kCHw4UVHiryWXoUlOZj5wgLllS/wNPj7I7LUXR68ULl9mbtgQr0u3bljMRfP4MXOZMsy+vuIXKtkMDTNz//5wWh44IE7m+fPMzZvjBW/dmvnSJXGy7YXwcDjF3dyQg9OqFTJPU1LSf/ymTZvY39+fCxYsyETEoVkkTog0NImJzHv3wv9StCjua4UKiL7YmzNfKkYj84oVcBPkywcjnNE9tZRnz5j9/fGeiYwUIzM1shqaZ89gFFxcmLdtkybryhV8eBwdUcC5Y4cQFe2auDiE+qtVwwe4aFHmPn2YN23CsdPE6tWreerUqbx06VJFDM2zZ/Cr9eiBDwwRQtWjRjEfOybuw2Ov3LuHXBsiZL3/+KO0JMWYGOYWLeCXkatER1ZDw4xtb4cOWFlHjEj7BjeH339HvYWDA0J+06cjbVvHfIxGOMk/+QS7BSJEM1q0gO/j4EFEOS5evCKLoTEa4Vhcvx5+lzx5oEPFioie/fWXfvS1hsOHX/rmypTBomLpZ+PQIRh5V1exJ49XMTDL324pORlD06dOxQiT7t0x/6Z69de7nMXHoynQjh1osRkWhjGzI0agI16ePHJra/9cuoQmTDt3YiKnqQdOjhxRlJLiQ7Vrh1LVqtXIx4eoZEl68d3DA60vY2Njyd3dnWJiYsjNzY2I0LfkyRNMLb13D/ft3Dmis2fx/d49XKNmTcxQ6tABnRl1pPPnn0RffYXeRq6umPveujUG2hUt+vrjY2PRaXDZMjTM9/PD0DwfH/l0VMTQmIiKIpo5E/15798nyp8fb94iRWCMLl9Gt3UiooIF0WP1vffQSd6ayYE6WRMfj/sSFUV06lQUTZrkQy1ahNKjR9UoKgr3yYSLC5G3N5GXVywdPOhOlSvHUFycG8XE4M1rNKaVXaoUUdWq6MBYtSoapNn67C8tExmJiQ4bN77s4e3hAQOSNy/uz40bWGiSk7HQf/op+ijL/flS1NCYSE7GNIBTp7DS3bmDP9THB2/O8uXxptSNi3jWrl1LAwYMePH/3bt3U8OGDYmIKCoqinx8fCg0NJSqVatGRERxcURXr6JNa1QUvl++HEs//+xOJUoEkLOzIzk5YVyJoyNR8+ZdqEOHLlShAtF/mx0dFbh1Cy1MIyJwz+Lj8XMvL3y+3n4bu1SlUMXQ6KhHXFwc3Uk156VYsWKUK1cuIkrf0KRHekcnHZ3MkGmijY5WcXV1JVdXV7XV0Mlm6IZGhx4+fEjXrl2jW7duERHRhQsXiIjIw8ODPDw81FRNx06QeXyWji2wbds2ql69OrVs2ZKIiAIDA6l69eq0ZMkSlTXTsRd0H42Oxeg+Gh1L0Q2NjsUwM8XFxZGrqysZlBr3qGPT6IZGR0dHdnQfjY6OjuzohkZHR0d2dEOjo6MjO7qh0dHRkR3d0Ojo6MiObmh0dHRkRzc0Ojo6sqMbGh0dHdnRDY2Ojo7s/B8OfObu0ODhMwAAAABJRU5ErkJggg==" }, "execution_count": 14, "metadata": { }, "output_type": "execute_result" } ], "source": [ "var('t')\n", "Courbe=parametric_plot([sin(2*t),cos(3*t)],(t,0,2*pi))\n", "Courbe.show(figsize=4)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Un peu d'algèbre linéaire" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Voyons maintenant comment faire les manipulations usuelles en algèbre linéaire : déclarer des vecteurs, faire le produit vectoriel (pour les vecteurs dans $\\mathbb{R}^3$), produit scalaire, norme... et il en va de même pour les matrices." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "u=vector([-1,-3,1])\n", "v=vector([4,2,8])\n", "w=u.cross_product(v)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "w" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "v.cross_product(u)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "u.dot_product(v)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "u.norm()" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "norm(u)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "u+v" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "A1=matrix([[1,1,0,0,0,0],[0,1,1,0,0,0],[1,0,1,0,0,0],[0,0,1,1,0,0],[0,0,0,1,1,0],[0,0,0,0,1,1]])\n", "A1" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "det(A1)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "A1.inverse()" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "A1^4" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Polynomes de Taylor" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Pour finir, un peu de polynômes de Taylor, en une ou deux variables." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ] }, "execution_count": 15, "metadata": { }, "output_type": "execute_result" } ], "source": [ "f(x)=sin(x)\n", "Taylorf = taylor(f(x),x,0,12)\n", "Taylorf" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "On peut, bien sur calculer plusieurs polynômes d'un seul coup, et faire les dessins sur une même figure. Ci-bas le graphique de la fonction $x\\mapsto \\sin{x}$ sur $[-2\\pi,2\\pi]$ (c'est ce que le paramètre $L$ contrôle), et les plynômes de Taylor de degrés inférieurs à 20. On remarquera comment on fait changer les couleurs des courbes.\n", "\n", "Par ailleurs, on a intérêt à faire `Taylor?`." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 16, "metadata": { }, "output_type": "execute_result" } ], "source": [ "N=20\n", "L=2\n", "Curvef=plot(f,-L*pi,L*pi,color='darkgreen',thickness=3,detect_poles=True)\n", "TaylorPolys=sum([plot(taylor(f(x),x,0,j) ,-L*pi,L*pi, color=((N-j)/N,0,j/N),thickness=1) for j in range(N)])\n", "show(TaylorPolys+Curvef,ymin=-1.2,ymax=1.2,figsize=4)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Voici comment calculer le polynôme de Taylor autour de $x=1$, on obtient une somme de puissances de $(x-1)$." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ] }, "execution_count": 17, "metadata": { }, "output_type": "execute_result" } ], "source": [ "taylor(f(x),x,1,6)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Finalement, en deux variables: Calculons le polynôme de Taylor de degré $4$ de la fonction $x\\mapsto x \\cos(y)$ autour du point $(0,-1)$." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ] }, "execution_count": 18, "metadata": { }, "output_type": "execute_result" } ], "source": [ "var('y')\n", "taylor(x*cos(y),(x,0),(y,-1),4)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Bien entendu, ceci pourrait se faire (dans ce cas) comme le produit de deux polynomes de Taylor (attention aux degrés)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ] }, "execution_count": 19, "metadata": { }, "output_type": "execute_result" } ], "source": [ "taylor(x,x,0,4)*taylor(cos(y),y,-1,4)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Quelques graphiques en 3D\n", "\n", "On peut dessiner les surfaces de plusieurs façons différentes, dépendament de comment la surface est spécifiée:\n", "\n", "- Paramétriquement, c'est à dire $\\vec{r}:\\mathcal{D}\\to \\mathbb{R}^3$ donnée par $\\vec{r}(u,v)=x(u,v)\\mathbf{e}_1 + y(u,v)\\mathbf{e}_2 + z(u,v)\\mathbf{e}_3$ est une paramétrisation d'une surace $\\mathcal{S}$. Ici on suppose que $(u,v)\\in \\mathcal{D}$.\n", "- Explicitement, c'est à dire si $\\mathcal{S}$ est l'ensemble des points $(x,y,z)$ tels que $z=f(x,y)$, pour $(x,y)\\in \\mathcal{D}$.\n", "- Implicitement, c'est à dire si $\\mathcal{S}$ est l'ensemble des points $(x,y,z)$ tels que $F(x,y,z)=0$.\n", "\n", "Voyons quelques exemples.\n", "\n", "Exemple : dessiner la région de l'espace comprise entre les surfaces $S_1:z=x^2+3y^2$ et $S_2:z=8-x^2-y^2$\n", "\n", "Dessinons les deux surfaces explicitement:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": "\n\n" }, "execution_count": 20, "metadata": { }, "output_type": "execute_result" } ], "source": [ "var('x,y')\n", "f(x,y)=x^2+3*y^2\n", "g(x,y)=8-x^2-y^2\n", "S1=plot3d(f(x,y),(x,-2,2),(y,-1.5,1.5),color='darkseagreen', opacity=0.65)\n", "S2=plot3d(g(x,y),(x,-2,2),(y,-1.5,1.5),color='darkgreen', opacity=0.65)\n", "show(S1+S2, frame_aspect_ratio=[1,1,1])" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Le graphique n'est pas tellement beau, essentiellement parce que $(x,y)$ décrivent un rectangle. L'idéal serait que seulement les valeurs de $(x,y)$ qui se trouvent sous la région commune soient considérées.\n", "\n", "Pour ceci, on paramétrise les surfaces (on verra en détail comment faire dans le cours, on peut simplement ignorer les calculs qui suivent):\n", "\n", "+ Calculons d'abord l'intersection des deux surfaces, c'est à dire $$\\displaystyle x^2+3y^2= 8-x^2-y^2$$\n", "\n", "+ C'est l'équation d'une ellipse, à savoir $\\displaystyle \\left(\\frac{x}{2}\\right)^2+ \\left(\\frac{y}{\\sqrt{2}}\\right)^2=1$.\n", "\n", "\t+ Une paramétrisation de celle-ci est $x(u)=2\\cos(u),\\ y(u)=\\sqrt{2}\\sin{u}$ pour $u\\in[0,2\\pi]$. La courbe d'intersection entre les deux surfaces est $(x(u),y(u),f(x(u),y(u)))$ où $u\\in [0,2\\pi]$.\n", "\n", "\n", "\n", "+ On va utiliser la paramétrisation des surfaces, pour que les dessins soient plus beaux... Les paramètres seront en quelque sorte les coordonnées polaires, mais avec les noms $u,v$. Ainsi $x(u,v)=2 v \\cos{u}$, et $y(u,v)=v \\sqrt{2} \\sin{u}$ pour $0\\leq v \\leq 1$ et $0\\leq u \\leq 2\\pi$ est une description de l'ellipse et tout ce qu'il y a dans son intérieur: en effet on \"multiplie\" l'ellipse par le paramètre $v$ qui varie entre $0$ et $1$, ca remplit la région enfermée par l'ellipse. Pour ce qui est de l'ellipse il suffit de faire $v=1$.\n", "\n", "\n", "\n", "Les surfaces sont ainsi $S_1: z=f(x(u,v), y(u,v))$, ou, paramétriquement $(x,y,z)= (x(u,v),y(u,v),f(x(u,v),y(u,v))$. Pour $S_2$ c'est pareil." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "var('u,v')\n", "x(u,v)=2*cos(u)*v\n", "y(v,v)=sqrt(2)*sin(u)*v" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "Ellipse=parametric_plot3d([x(u,1),y(u,1),0],(u,0,2*pi), color='darkgreen', thickness=2)\n", "Courbe=parametric_plot3d([x(u,1),y(u,1),f(x(u,1),y(u,1))],(u,0,2*pi), color='darkgreen', thickness = 3)\n", "S1=parametric_plot3d([x(u,v),y(u,v),f(x(u,v),y(u,v))],(u,0,2*pi),(v,0,1), color='darkgreen', opacity=0.3)\n", "S2=parametric_plot3d([x(u,v),y(u,v),g(x(u,v),y(u,v))],(u,0,2*pi),(v,0,1), color='red', opacity=0.3)\n", "show(Ellipse + Courbe + S1 + S2, frame_aspect_ratio=[2,2,1]);" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "#Un tube tordu\n", "x(u,v) = (2+sin(v))*cos(u)\n", "y(u,v) = (2+sin(v))*sin(u)\n", "z(u,v)= u+cos(v)\n", "Tube = parametric_plot3d([x(u,v), y(u,v), z(u,v)], (u, -pi, 2*pi), (v, 0, 2*pi), mesh=1, opacity=0.5, color=\"orange\")\n", "show(Tube, frame= True)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Ici on dessine un champ de vecteurs, le champ gradient d'une fonction $f$ qu'on déclare. Par la suite, dans le même graphique le diagramme des courbes de niveau de $f$. On verra que les courbes sont effectivement orrhogonales au champ." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "import matplotlib.cm\n", "f(x,y)=x^2-y^2;\n", "Champ=plot_vector_field(f.gradient(), (x,-1,1), (y,-1,1), color='blue')\n", "Courbes=contour_plot(f(x,y),(x,-1,1),(y,-1,1), fill=False, cmap='autumn_r')\n", "show(Champ + Courbes,figsize=6)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Et voici la surface qui correspond à $f$" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "cmsel = [colormaps['autumn_r'](i) for i in sxrange(0,1,0.05)]\n", "Surff=plot3d(f,(x,-1,1),(y,-1,1),adaptive=True, color=cmsel)\n", "show(Surff)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Flot d'un champ et lignes de courant : étant donné uin champs de vecteurs $\\overrightarrow{\\mathbf{F}}$ , une ligne de courant du champ est une courbe $\\mathcal{C}$ donnée par une paramétrisation $\\mathbf{r}(t)$ telle qu'en tout point le vecteur vitesse est égal au champ. En d'autres termes $\\mathbf{v}(t) = \\overrightarrow{\\mathbf{F}}(\\mathbf{r}(t))$\n", "\n", "Trouver des lignes de courant revient à résoudre certaines équations différentielles. Par chaque point il y a une unique ligne de courant, on peut penser à la ligne de courant comme la trajectoire qu'un objet mobile suivrait, étant donné que sa vitesse doit coïncider avec le champ $\\overrightarrow{\\mathbf{F}}$ .\n", "\n", "L'ensemble de toutes les lignes de courant s'appelle le flot du champ de vecteurs.\n", "\n", "Ci-bas, trois lignes de courant, calculées \"manuellement\" pour le champ $\\overrightarrow{\\mathbf{F}}(x,y) = \\mathbf{i} + (x+y) \\mathbf{j}$ . L'équation différentielle associée est simplement $y′(x)=x+y$. En effet, si on a une courbe donnée explicitement $y=y(x)$, la pente de la tangente en $x_0$ et $y'(x_0)$, de sorte qu'un vecteur directeur de la tangente est $(1,y′(x_0))$. La recherche d'une ligne de courant pour le champ $\\overrightarrow{\\mathbf{F}}= P\\mathbf{i} + Q\\mathbf{j}$ c'est précisément la recherche d'une courbe dont un vecteur tangent au point $(x,y)$ et $\\overrightarrow{\\mathbf{F}}$." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 1, "metadata": { }, "output_type": "execute_result" } ], "source": [ "x,y=var('x y');\n", "xmin=-1.5;\n", "xmax=-xmin;\n", "ymin=-4;\n", "ymax=-ymin;\n", "Champ=plot_vector_field((1,x+y), (x,xmin,xmax), (y,ymin,ymax), color='black')\n", "c1=plot(-x-1,(x,xmin,xmax),color=\"blue\", thickness=2)\n", "c2=plot(e^x-x-1,(x,xmin,xmax),color=\"red\", thickness=2)\n", "c3=plot(-0.3*e^x-x-1,(x,xmin,xmax),color=\"green\", thickness=2)\n", "show(Champ+c1+c2+c3,figsize=5);" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] } ], "metadata": { "kernelspec": { "display_name": "SageMath (stable)", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.15" } }, "nbformat": 4, "nbformat_minor": 0 }