{
"cells": [
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"cell_type": "code",
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],
"source": [
"%display typeset"
]
},
{
"cell_type": "markdown",
"metadata": {
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"source": [
"\n",
"# Tutoriel SAGE\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",
"Déplacez le curseur dans l'espace entre deux cellules, vous verrez une ligne bleue apparaître. Si on clique dessus, une nouvelle cellule apparaît, tandis que si on fait `Ctrl + click`, c'est une petite section pour entrer du texte, comme celui-ci qui apparaît. Dans ces sections, on peut aussi entrer du texte $\\LaTeX$, ce qui est très bien si on veut écrire des équations. Par ailleurs, en faisant un double click sur une de ces sections, vous accédez au texte, et pouvez 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 numérique 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:\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": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"ename": "NameError",
"evalue": "name 'numerical_' is not defined",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mnumerical_\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;31mNameError\u001b[0m: name 'numerical_' is not defined"
]
}
],
"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 variables, toutes sauf $x$."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"var('t,s')\n",
"f(s,t)=s*cos(s*t)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 11,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"diff(f(s,t),t)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 12,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"diff(f(s,t),s,2)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 13,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"integrate(f(s,t),s)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 14,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"f(1,pi/4)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 15,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"integrate(1/t,t,1,2)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 16,
"metadata": {
},
"output_type": "execute_result"
}
],
"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": [
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 17,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"solve([2*x+1==0],[x])"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 18,
"metadata": {
},
"output_type": "execute_result"
}
],
"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": 19,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"Liste = [n^2 for n in range(11)]"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 20,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"Liste"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Le $0-$ème élément de la liste est le premier... eu... un exemple!"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 21,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"Liste[3]"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 22,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"Liste[2:7]"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 23,
"metadata": {
},
"output_type": "execute_result"
}
],
"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": [
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"C1=plot(sin(x),(x,-3* pi,3*pi),color='red', thickness=2)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"
},
"execution_count": 25,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"show(C1,figsize=[4,2])"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"
},
"execution_count": 26,
"metadata": {
},
"output_type": "execute_result"
}
],
"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": [
]
},
{
"cell_type": "code",
"execution_count": 27,
"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": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"
},
"execution_count": 28,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"show(C1+C2,figsize=[3,3])"
]
},
{
"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": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"var('a,b,n')\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": 30,
"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 puis on multiplie par $\\Delta x$, ce qui fait une autre liste, qui s'appelle F."
]
},
{
"cell_type": "code",
"execution_count": 31,
"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 numérique exprimé en notation décimale."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 32,
"metadata": {
},
"output_type": "execute_result"
}
],
"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": 33,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 33,
"metadata": {
},
"output_type": "execute_result"
}
],
"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": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"
},
"execution_count": 34,
"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),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": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 35,
"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",
"\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",
"\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",
"\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 $y^2+2\\cdot \\ln{|\\sec{x}|} = Ky$. Trouvez comment ceci est fait avec la commande `implicit_plot`."
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/ext/sage/sage-8.3_1804/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": 36,
"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. Probablemen 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": "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 ccôtés 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": 37,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"
},
"execution_count": 37,
"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": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"var('t')\n",
"Courbe=parametric_plot([sin(2*t),cos(3*t)],(t,0,2*pi))"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"
},
"execution_count": 39,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"Courbe.show(figsize=4)"
]
},
{
"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": 40,
"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": 41,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 41,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"w"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 42,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"v.cross_product(u)"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 43,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"u.dot_product(v)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 44,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"u.norm()"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 45,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"norm(u)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 46,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"u+v"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 47,
"metadata": {
},
"output_type": "execute_result"
}
],
"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": 48,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 48,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"det(A1)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 49,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"A1.inverse()"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 50,
"metadata": {
},
"output_type": "execute_result"
}
],
"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": 51,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 51,
"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": 52,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"
},
"execution_count": 52,
"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": 53,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 53,
"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": 54,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 54,
"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": 55,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"execution_count": 55,
"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 $\\vec{r}(u,v)=x(u,v)\\vec{\\iota} + y(u,v)\\vec{\\jmath} + z(u,v)\\vec{k}$ 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": 56,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": "\n