{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Cálculos de ceros de sistemas\n", "#### https://meet.noysi.com/metodosnumericos1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Método de Newton-Raphson" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "En primer lugar, vamos a resolver aproximadamente la ecuación \n", "$$\\begin{cases} x^5+x y=1,\\\\ y^5+2 x y=1.\\end{cases}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Necesitamos transformar el problema en encontrar los ceros de una función. En este caso, lo más sencillo es pasar todos los sumandos al mismo lado de la ecuación:\n", "$$F(x,y) = ( x^5-xy-1,y^5+2xy-1).$$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left( x, y \\right) \\ {\\mapsto} \\ \\left(x^{5} + x y - 1,\\,y^{5} + 2 \\, x y - 1\\right)$$" ], "text/plain": [ "(x, y) |--> (x^5 + x*y - 1, y^5 + 2*x*y - 1)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f(x,y) = x^5+x*y-1\n", "g(x,y) = y^5+2*x*y-1\n", "F(x,y) = (f(x,y),g(x,y))\n", "show(F)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para aplicar el método de Newton-Raphson, es preciso considerar un punto inicial. Por ejemplo, vamos a tomar el punto $(1,1)$. Lo definimos como vector, puesto que queremos realizar operaciones con él (suma)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "v0 = vector(RDF,[1.,1.])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "También necesitamos la matriz jacobiana. En Sage se puede calcular con el método `diff` sin introducir ningún parámetro." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{rr}\n", "5 \\, x^{4} + y & x \\\\\n", "2 \\, y & 5 \\, y^{4} + 2 \\, x\n", "\\end{array}\\right)$$" ], "text/plain": [ "[ 5*x^4 + y x]\n", "[ 2*y 5*y^4 + 2*x]" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "DF = F.diff()\n", "show(DF(x,y))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Como nuestra función de variables no está definida sobre puntos sino sobre coordenadas, para evaluar una función de varias variables en un punto hay que transformarlo en sus coordenadas. Para ello usamos el operador `*`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(\n", "[6.0 1.0] [6.0 1.0] [6.0 1.0]\n", "[2.0 7.0], [2.0 7.0], [2.0 7.0]\n", ")" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "DF(*v0), DF(RDF(1.),RDF(1.)), DF(v0[0],v0[1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ahora podemos aplicar el método de Newton-Raphson. Recordemos que $v_1$ está definido por\n", "$$ J_{v_0} (v_1-v_0) = -F(v_0),$$\n", "donde $v_0$ es el vector inicial y $J_{v_0}$ es la matriz jacobiana de $F$ evaluada en $v_0$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sea $x$ solución de $ J_{v_0} x = -F(v_0),$ entoces $x = v_1- v_0$, $v_1=v_0+x$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "v1 = v0 + DF(*v0)\\(-F(*v0)) # v1 = v0 + x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Los siguientes pasos son análogos." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.0, 1.0),\n", " (0.875, 0.75),\n", " (0.8674615838407234, 0.5883877512370015),\n", " (0.8783073191378743, 0.5437936013364996)]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "v2 = v1 + DF(*v1)\\(-F(*v1))\n", "v3 = v2 + DF(*v2)\\(-F(*v2))\n", "puntos = [v0,v1,v2,v3]\n", "puntos" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Por último vamos a representar las ecuaciones, la solución y las aproximaciones. Cada ecuación define en este caso una curva implícita y las soluciones serán las intersecciones de ambas curvas." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "Graphics object consisting of 7 graphics primitives" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "implicit_plot(f(x,y)==0,(x,0,1),(y,0,1),linestyle='--',color='black')\\\n", "+implicit_plot(g(x,y)==0,(x,0,1),(y,0,1),linestyle='-.',color='black')\\\n", "+points(puntos,color='green')\\\n", "+sum([text('v'+str(i),puntos[i]+vector([0.05,0]),color='green') for i in range(len(puntos)) ])" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0002938404595224098, 0.002787983990069298)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "F(*v3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Ejercicio 1. \n", " \n", "a. Crear una función que reciba $F$, $x_0$ y $n$ y aplique $n$ pasos de Newton-Raphson partiendo de $x_0$.\n", " \n", "b. Aproximar soluciones de $e^{x+y}-x y=0$, $x^5-x-y=2$ contenidas en $[-3,3]\\times [-3,3]$. \n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### a)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "def Newton_Raphson(F,v0,n):\n", " vn = copy(v0)\n", " DF = F.diff()\n", " for _ in range(n):\n", " vn = vn - DF(*vn)\\F(*vn)\n", " return vn" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### b)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "F(x,y) = [exp(x+y)-x*y,x^5-x-y-2]" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "implicit_plot(F(x,y)[0],(x,-3,3),(y,-3,3)) + implicit_plot(F(x,y)[1],(x,-3,3),(y,-3,3))" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "v0 = vector(RDF,[-1.,-1.])" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(-1.0, -1.0),\n", " (-0.6476811688088471, -0.5907246752353882),\n", " (0.5420284171661516, -1.6092210463644854),\n", " (-0.1316650668185212, -2.112300110820074)]" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "DF = F.diff()\n", "v1 = v0 + DF(*v0)\\(-F(*v0))\n", "v2 = v1 + DF(*v1)\\(-F(*v1))\n", "v3 = v2 + DF(*v2)\\(-F(*v2))\n", "puntos = [v0,v1,v2,v3]\n", "puntos" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "Graphics object consisting of 7 graphics primitives" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "implicit_plot(F(x,y)[0]==0,(x,-3,3),(y,-3,3),linestyle='--',color='black')\\\n", "+implicit_plot(F(x,y)[1]==0,(x,-3,3),(y,-3,3),linestyle='-.',color='black')\\\n", "+points(puntos,color='green')\\\n", "+sum([text('v'+str(i),puntos[i]+vector([0.2,0]),color='green') for i in range(len(puntos)) ])" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(-1.0, -1.0),\n", " (-0.6476811688088471, -0.5907246752353882),\n", " (0.5420284171661516, -1.6092210463644854),\n", " (-0.1316650668185212, -2.112300110820074),\n", " (-0.07406905648406456, -1.9258839667766714),\n", " (-0.0701178262368926, -1.9298838085091106)]" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "F(x,y) = [exp(x+y)-x*y,x^5-x-y-2]\n", "v0 = vector(RDF,[-1.,-1.])\n", "puntos = [Newton_Raphson(F,v0,n) for n in range(6)]\n", "puntos" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "Graphics object consisting of 9 graphics primitives" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "implicit_plot(F(x,y)[0]==0,(x,-3,3),(y,-3,3),linestyle='--',color='black')\\\n", "+implicit_plot(F(x,y)[1]==0,(x,-3,3),(y,-3,3),linestyle='-.',color='black')\\\n", "+points(puntos,color='green')\\\n", "+sum([text('v'+str(i),puntos[i]+vector([0.2,0]),color='green') for i in range(len(puntos)) ])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Cálculo de extremos, tangentes, etc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "El método de Newton-Raphson está diseñado para determinar los ceros de una función de $\\mathbb{R}^n\\to\\mathbb{R}^n$, pero se puede aplicar a cualquier problema que sea equivalente. Por ejmplo, determinar el mínimo de una función de clase 1 de $\\mathbb{R}^n\\to\\mathbb{R}$, ya que este se alcanzará en un extremo local (o en el borde) y el método de Newton-Raphson permite encontrar los ceros de la derivada y por tanto reducir el problema, bajo ciertas condiciones, a evaluar la función en un número finito de puntos. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Por ejemplo, calculemos el máximo y el mínimo de $F(x,y)=e^{x^2+y^2}+x - 2y$ para $-1\\leq x\\leq 1$ y $-1\\leq y\\leq 1$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comenzaremos calculando y representando la derivada de $F$ en dicha región." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "G(x,y) = exp(x^2+y^2)+x-2*y\n", "F = G.diff()\n", "implicit_plot(F(x,y)[0],(x,-1,1),(y,-1,1))+implicit_plot(F(x,y)[1],(x,-1,1),(y,-1,1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Si alguno de los extremos se alcanza en el interior, será en el punto de intersección de ambas curvas, que podemos calcular con Newton-Raphson." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "v0 = vector(RDF,[-.3,.6])\n", "DF = F.diff()\n", "v1 = v0 + DF(*v0)\\(-F(*v0))\n", "v2 = v1 + DF(*v1)\\(-F(*v1))\n", "v3 = v2 + DF(*v2)\\(-F(*v2))\n", "G(*v3),v3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ahora basta estudiar la función en los bordes y tendríamos los dos extremos:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "plot(G(-1,y),(y,-1,1))+plot(G(1,y),(y,-1,1))+plot(G(x,-1),(x,-1,1))+plot(G(x,1),(y,-1,1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Ejercicio 2. \n", " \n", "a. Aproximar los extremos de la función $G(x,y) = e^{x^2+y^2} +x -y$ para $-1\\leq x\\leq 1$ y $-1\\leq y\\leq 1$.\n", "\n", "b. Aproximar el mínimo de $f(x,y)=x^4+y^4-x^3 y+x^2 y^2+x-y-1$\n", "mediante 5 pasos del método de Newton-Raphson. Elegir un punto inicial conveniente.\n", "\n", "c. Calcular los puntos en los que la distancia entre las gráficas de $f(x)=e^{x^2}$ y $f(x)=\\sin(x)$ sea mínima.\n", " \n", "d. Calcula la distancia entre las gráficas de las curvas paramétricas\n", "$$t\\to ((1+\\sin(t))\\cos(t),(1+\\sin(t))\\sin(t)),$$ $$t\\to (3+\\cos(t),2+\\sin(t)),$$ \n", "con $t\\in[0,2\\pi]$.\n", " \n", "e. Calcular una tangente común a las curvas paramétricas \n", "$$t\\to ((1+\\sin(t))\\cos(t),(1+\\sin(t))\\sin(t)),$$ $$t\\to (3+\\cos(t),2+\\sin(t)),$$ \n", "con $t\\in[0,2\\pi]$.\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### a)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": true }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G(x,y) = exp(x^2+y^2) + x - y\n", "plot3d(G(x,y),(x,-1,1),(y,-1,1))" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "contour_plot(G(x,y),(x,-1,1),(y,-1,1),labels=true,contours = [0.5, 0.6 .. 3.5] + [4 .. 10], fill=false)" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((-0.3765445824899563, 0.37654458248995637),\n", " (-4.949374243778948e-13, 4.951594689828198e-13),\n", " 0.5747748470154905)" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "F = G.diff()\n", "v0 = vector(RDF,[-1,1])\n", "vn = Newton_Raphson(F,v0,7)\n", "vn, F(*vn), G(*vn)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "contour_plot(G(x,y),(x,-1,1),(y,-1,1),labels=true,contours = [0.5, 0.6 .. 3.5] + [4 .. 10], fill=false) + point(vn)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### c)" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(exp(x^2),(x,-1,1), aspect_ratio = 1) + plot(sin(x),(x,-1,1))" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "Graphics object consisting of 4 graphics primitives" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p1(x1) = ( x1 , exp(x1^2) )\n", "p2(x2) = ( x2 , sin(x2) )\n", "plot(exp(x^2),(x,-1,1),aspect_ratio=1) + plot(sin(x),(x,-1,1)) \\\n", "+ point([p1(0.3),p2(-0.5)],color='black') \\\n", "+ line([p1(0.3),p2(-0.5)],color='black',linestyle='--')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### e)\n", "Calcular una tangente común a las curvas paramétricas \n", "$$t\\to ((1+\\sin(t))\\cos(t),(1+\\sin(t))\\sin(t)),$$ $$t\\to (3+\\cos(t),2+\\sin(t)),$$ \n", "con $t\\in[0,2\\pi]$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "c1(t) = ( (1+sin(t))*cos(t) , (1+sin(t))*sin(t) ) \n", "c2(t) = ( 3 + cos(t) , 2 + sin(t) )\n", "parametric_plot(c1(t),(t,0,2*pi)) + parametric_plot(c2(t),(t,0,2*pi))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "Graphics object consisting of 5 graphics primitives" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "t1 = 1.\n", "t2 = 2.\n", "arrow(c1(t1),c2(t2),color='gray') + arrow( c1(t1), vector(c1(t1)) + vector(c1.diff()(t1)) ,color='gray') \\\n", "+ arrow( c2(t2), vector(c2(t2)) + vector(c2.diff()(t2)) ,color='gray') \\\n", "+ parametric_plot(c1(t),(t,0,2*pi)) + parametric_plot(c2(t),(t,0,2*pi))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((-(sin(t1) + 1)*cos(t1) + cos(t2) + 3, -(sin(t1) + 1)*sin(t1) + sin(t2) + 2),\n", " (cos(t1)^2 - (sin(t1) + 1)*sin(t1), (sin(t1) + 1)*cos(t1) + cos(t1)*sin(t1)),\n", " (-sin(t2), cos(t2)))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "var('t1,t2')\n", "w = c2(t2) - c1(t1)\n", "u1 = vector(c1.diff()(t1))\n", "u2 = vector(c2.diff()(t2))\n", "w,u1,u2" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# w y u1 son proporcionales si su producto vectorial es 0\n", "eq1 = w[0]*u1[1] - w[1]*u1[0]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# w y u2 son proporcionales si su producto vectorial es 0\n", "eq2 = w[0]*u2[1] - w[1]*u2[0]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "F(t1,t2) = ( eq1 , eq2)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "Graphics object consisting of 5 graphics primitives" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "t1,t2 = Newton_Raphson(F,vector(RDF,[1.5,2.]),7)\n", "arrow(c1(t1),c2(t2),color='gray') + arrow( c1(t1), vector(c1(t1)) + vector(c1.diff()(t1)) ,color='gray') \\\n", "+ arrow( c2(t2), vector(c2(t2)) + vector(c2.diff()(t2)) ,color='gray') \\\n", "+ parametric_plot(c1(t),(t,0,2*pi)) + parametric_plot(c2(t),(t,0,2*pi))" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "def Newton_Raphson(F,v0,n):\n", " vn = vector(RDF,v0)\n", " DF = F.diff()\n", " for _ in range(n):\n", " vn = vector(RDF,vn - DF(*vn)\\F(*vn))\n", " return vn" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-0.22776682179769436, -1.127048396085469)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h = 0.5\n", "tangencias = []\n", "for t1 in [0,h .. 2*pi]:\n", " for t2 in [0,h .. 2*pi]:\n", " tangencias += [Newton_Raphson(F,vector(RDF,[t1,t2]),5)]\n", "tangencias[0]" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "tangencias = [ [t1,t2] for t1,t2 in tangencias if t1>0 and t2>0 and t1<2*pi and t2<2*pi and F(t1,t2).norm(2)<10^-5]" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "point(tangencias)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "Graphics object consisting of 420 graphics primitives" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sum([arrow(c1(t1),c2(t2),color='gray') + arrow( c1(t1), vector(c1(t1)) + vector(c1.diff()(t1)) ,color='gray') \\\n", "+ arrow( c2(t2), vector(c2(t2)) + vector(c2.diff()(t2)) ,color='gray') \\\n", "+ parametric_plot(c1(t),(t,0,2*pi)) + parametric_plot(c2(t),(t,0,2*pi)) for t1,t2 in tangencias])" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "SageMath 9.5", "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": "3.11.2" } }, "nbformat": 4, "nbformat_minor": 4 }