{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing complex-valued functions with Matplotlib and Mayavi" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The study of complex-valued functions is a difficult chapter of mathematics for most students.\n", "Usually textbooks do not show up any figure to visualize in some way such functions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When studying real functions of one or two variables, an intuitive grasp of some properties one acquires looking at their graphs.\n", "Unlike real functions of one or two variables, whose graphs are curves in $\\mathbb{R}^2$, respectively\n", " surfaces in $\\mathbb{R}^3$, the graph of a complex function, $f:\\mathbb{C}\\to\\mathbb{C}$, lies in $\\mathbb{R}^4$. \n", "Visualization in four dimensions is a difficult task and the method employed depends on the \"geometry\" of the object to be visualized.\n", "\n", "Fortunately, the development of cylindrical color models, such as [HSL and HSV](http://en.wikipedia.org/wiki/HSL_and_HSV), and the possibility to express the values $f(z)$ of a complex function in polar coordinates, $f(z)=|f(z)|\\exp(i \\arg(f(z))$, led to the design of a fruitful technique of visualization of the values of a complex function through a color-coding method. This method is called domain coloring. \n", "\n", "A list of references dedicated to visualization of complex functions, as well as of the software implementations of different methods of visualization can be found in [Notices of AMS](http://www.ams.org/notices/201106/rtx110600768p.pdf) and on [Hans Lundmark's complex analysis pages](http://www.mai.liu.se/~halun/complex/).\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to understand the basic idea behind domain coloring we describe the RGB and HSV color model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### RGB and HSV color model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The RGB (Red, Green, Blue) is the basic color space. Its geometrical model is the unit cube. Each color is represented as a triple $(r,g,b)$ of real numbers in $[0,1]$, where $r,g,b$ are quantities \n", "of the primary colors (red, green and blue) contained by that color. \n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(url='http://www.blackice.com/images/RGB_Cube.jpg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Computers treat colors in RGB format. However in applications it is much more appropriate to use the HSV color model, because colors in this space are specified in the same way the humans perceive the color, namely giving the hue, saturation and brightness.\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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79O/c9Ys/qlOWjIWOpmF4FIGTNMisYDK27/Ho1ZV9M63989MqoMFX8bPGk1ou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\nhSFXBsLKcCigIi5Zo4f5UVUINKLfLdCIH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"text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename='Imags/HSV.png')# a resized image of this one\n", " #http://en.wikipedia.org/wiki/File:HSV_color_solid_cylinder_alpha_lowgamma.png" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The HSV model is represented by a solid cylinder having the radius $1$, and height 1. $H$ is the hue, $S$, saturation, and $V$ represents the brightness.\n", "\n", "Sectioning this cylinder with a plane perpendicular to its vertical axis, at the height $V=v$, one gets a color wheel whose complex parameterization is\n", " $z=Se^{2\\pi i H}$.\n", "\n", "As hue $h$ varies from 0 to 1, the corresponding colors vary in this color wheel such that at $2\\pi h$, with $h\\in\\{0, 1/6, 1/3, 1/2, 2/3, 5/6, 1\\}$ are located respectively the colors red, yellow, green, cyan, blue, magenta, and red again (see the next image).\n", "\n", "Saturation represents the purity of colors. For $S=1$ all colors are pure (do not contain white). As $S$ decreases the colors look more fade.\n", "\n", "The brightness increases from zero to 1. At $V=0$, all colours look dark.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The images below illustrate the color wheels of brightness $V=1$, respectively $V=0.5$.\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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"text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "Image(filename='Imags/ColorWheelV1.jpg') " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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"text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename='Imags/ColorWheelV05.jpg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These color wheels are generated using [Asymptote](http://asymptote.sourceforge.net/). The asy code colorwheel.asy is saved\n", "in the folder [Math](https://github.com/empet/Math/) . \n", "Asymptote can be called within IPython Notebook (see details [here](https://github.com/jrjohansson/ipython-asymptote))\n", "but it requires supplemental settings, such as installing [dvisvgm](http://dvisvgm.sourceforge.net/) and more." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most of the plots in this IPython Notebook will be generated using matplotlib and embedded inline:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from matplotlib.colors import hsv_to_rgb\n", "rcdef = plt.rcParams.copy()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us get new insights into the HSV model. \n", "\n", "In order to see how the brightness of colors varies in a cylindrical surface of constant saturation, we generate the colors\n", "in a rectangle obtained by cutting that cylindrical surface along the generatrice of angular coordinate, $H=0$:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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IcYJTstRDQmI61frrCavJLcnNMuJKp+6sSUVsYV0iFW0hlV5jkuqafMElKFbS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\noH49WIVBB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams['figure.figsize'] = 10, 6\n", "sat=[1.0, 0.85, 0.5, 0.25]\n", "svals=['S=1', 'S=0.85', 'S=0.5', 'S=0.25']\n", "for k, s in zip(range(4),sat):\n", " V,H = np.mgrid[0:1:200j, 0:1:200j]\n", " S = s*np.ones_like(H) \n", " HSV = np.dstack((H,S,V))\n", " RGB = hsv_to_rgb(HSV)\n", " plt.subplot(2,2,k+1)\n", " plt.imshow(RGB, origin=\"lower\", extent=[0, 1, 0, 1])\n", " plt.xticks([0, 1.0/6, 1.0/3, 1.0/2, 2.0/3, 5.0/6, 1],\n", " ['$0$', r'$\\frac{1}{6}$', r'$\\frac{1}{3}$', r'$\\frac{1}{2}$', r'$\\frac{2}{3}$',\n", " r'$\\frac{5}{6}$', '$1$'])\n", " plt.xlabel(\"$H$\")\n", " plt.ylabel(\"$V$\")\n", " plt.title(svals[k])\n", "plt.tight_layout(1) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These images suggest that the points of a subset $D$ of the complex plane can be encoded\n", "by the colors in a rectangle of constant saturation, $S=s_0\\in[0,1]$. Namely, to each $z\\in D$ one associates the triple $(h, s_0, v)$ in the HSV cylinder, where $h=((\\arg(z)/2\\pi+1) \\:\\mbox{modulo}\\:1$, and $v=g(|z|)$. \n", "\n", "$\\arg(z)\\in(-\\pi, \\pi]$ is the principal argument of $z$, and\n", "$g:[0,\\infty)\\to[0,1)$ is a strictly increasing function, chosen such that to be rapidly increasing near zero, in order to avoid too dark colors in the resulting image." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After a few experiments we chose this function:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "\n", "def g(x):\n", " return (1.0-1/(1+x**2))**0.2\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Its graph compared with those of other functions of the same type are illustrated here:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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OnQJGjQIGD3ZMJ4mIehmnhbo1pZeSmhIo5UoEegeKHUeOsPRCRNQBp4W6NSdJ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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams.update(rcdef)# reset plt.rcParams to default\n", "x=np.linspace(0,10, 1000)\n", "y=g(x)\n", "f=lambda z: (1.0-1.0/(1+z**2))**0.5\n", "h=lambda z: (1.0-1.0/(1+z**2))**0.4\n", "plt.plot(x,y)\n", "plt.plot(x, f(x), 'r')\n", "plt.plot(x, h(x), 'g')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The two color models, RGB and HSV, can be converted from one to another. There is no closed form formula for such a conversion. It is only described algorithmically.\n", "Here is the pseudocode for the conversion [HSV to RGB](http://software.intel.com/sites/products/documentation/hpc/ipp/ippi/ippi_ch6/functn_HSVToRGB.html),\n", "and here for [RGB to HSV](http://software.intel.com/sites/products/documentation/hpc/ipp/ippi/ippi_ch6/functn_RGBToHSV.html)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Python module colorsys provides functions for these conversions:\n", "\n", "(r,g,b)=colorsys.hsv_to_rgb(h,s,v), \n", "\n", "respectively \n", "\n", "(h,s,v)= colorsys.rgb_to_hsv(r,g,b)\n", "\n", "Coordinates of the triples (r,g,b), and (h,s,v),\n", "are floating point numbers in $[0,1]$. The hue=h represents the color located at the angular value $2\\pi h$ in the color wheel." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For our purposes it is much more useful the function hsv_to_rgb from matplotlib.colors, that converts a numpy array of shape (m, n, 3), and entries in $[0,1]$, defining a HSV colored image,\n", "to an array of the same shape, interpreted as a RGB image." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us color-encode the points of the rectangular region $D=\\{x+iy\\in\\mathbb{C}\\:|\\: x\\in [-1,4], y\\in[-1,3]\\}$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def Hcomplex(z):# computes the hue corresponding to the complex number z\n", " H=np.angle(z)/(2*np.pi)+1\n", " return np.mod(H,1)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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qP+nDagpb+8GbyADKkGmYHjLFjghwls9Vn1NWdC34JPsBQ6+2npy7Qr9hiw+Z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\ntJy6OKN+yuL86/1d38FRh47ihBaMT4GEf9l/bogT5RJiSDg5hJL3MIZ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x=np.arange(-1,4, 0.05)\n", "y=np.arange(-1,3, 0.05)\n", "x,y=np.meshgrid(x,y)\n", "z=x+1j*y\n", "H=Hcomplex(z)\n", "V=g(np.absolute(z))\n", "S=0.9*np.ones_like(H)\n", "HSV = np.dstack((H,S,V))\n", "RGB = hsv_to_rgb(HSV)\n", "plt.imshow(RGB, origin=\"lower\", extent=[-1, 4, -1, 3])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One observes that near origin where the modulus is close to 0, the colors are darker." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Classical domain coloring method " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Domain Coloring as a method of visualization of complex functions, gained popularity after the publication of the [review by F. Farris](http://www.maa.org/visualizing-complex-valued-functions-in-the-plane) for the T Needham' book,\n", "*Visual complex analysis*. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to visualize a complex function $f$ defined on a rectangular region $[a,b]\\times [c,d]\\subset\\mathbb{C}$, and taking values in the extended complex plane, $\\overline{\\mathbb{C}}=\\mathbb{C}\\cup \\{\\infty\\}$, one\n", "proceeds as follows:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One defines a narrow grid of this rectangle.\n", "\n", "Each node $z$ of the grid will be colored with the HSV color $(h,s_0, v)$, where $h$ and $v$ encode the argument and the modulus of $f(z)$, as described above.\n", "\n", "The points $z$ for which $|f(z)|=\\infty$ are colored with white (white is represented by the triple (r,g,b)=(1,1,1), and its conversion to HSV is (0,0,1)).\n", "\n", "If we denote by $\\mbox{col}:\\overline{\\mathbb{C}}\\to \\mbox{HSV}$ the function which encodes the points in the extended complex plane, by a triplet $(h,s, v)$, then the domain coloring is represented\n", "by the map $z\\mapsto f(z)\\mapsto \\mbox{col}(f(z))$, i.e. to the point $z$ in the domain one associates the color-code of $f(z)$.\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def func_vals(f, re, im, N): #evaluates the complex function at the nodes of the grid\n", " #re and im are tuples, re=(a,b) and im=(c,d), defining the rectangular region\n", " #N is the number of nodes per unit interval \n", " \n", " l=re[1]-re[0]\n", " h=im[1]-im[0]\n", " resL=N*l #horizontal resolution\n", " resH=N*h#vertical resolution\n", " x=np.linspace(re[0], re[1],resL)\n", " y=np.linspace(im[0], im[1], resH)\n", " x,y=np.meshgrid(x,y)\n", " z=x+1j*y\n", " w=f(z)\n", " return w " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "def domaincol_c(w, s):#Classical domain coloring\n", " #w is the complex array of values f(z)\n", " #s is the constant saturation\n", " \n", " \n", " indi=np.where(np.isinf(w))#detects the values w=a+ib, with a or b or both =infinity\n", " indn=np.where(np.isnan(w))#detects nans\n", " \n", " H=Hcomplex(w)\n", " S = s*np.ones_like(H)\n", " modul=np.absolute(w)\n", " V= (1.0-1.0/(1+modul**2))**0.2\n", " # the points mapped to infinity are colored with white; hsv_to_rgb(0,0,1)=(1,1,1)=white\n", " H[indi]=0.0 \n", " S[indi]=0.0 \n", " V[indi]=1.0\n", " #hsv_to_rgb(0,0,0.5)=(0.5,0.5, 0.5)=gray \n", " H[indn]=0\n", " S[indn]=0\n", " V[indn]=0.5\n", " HSV = np.dstack((H,S,V))\n", " RGB = hsv_to_rgb(HSV)\n", " return RGB " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def plot_domain(color_func, f, re=[-1,1], im= [-1,1], Title='',\n", " s=0.9, N=200, daxis=None):\n", " w=func_vals(f, re, im, N)\n", " domc=color_func(w, s)\n", " plt.xlabel(\"$\\Re(z)$\")\n", " plt.ylabel(\"$\\Im(z)$\")\n", " plt.title(Title)\n", " if(daxis):\n", " plt.imshow(domc, origin=\"lower\", extent=[re[0], re[1], im[0], im[1]])\n", " \n", " else:\n", " plt.imshow(domc, origin=\"lower\")\n", " plt.axis('off')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to read-off some properties of a function $f$, encoded in the generated image, we display alongside the color-code of the complex plane:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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qc+mbTFif1gRoC1wwjOPtEu0JmF/Gp01Ke+KPLAWSrYCREgCRIuvfoYCiPW0t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r3dS2qcsKYdC0wWwEIdFNpt/c6cPbEy3luxWMeZk1bS0V43tVFN3AVg50PYb6FuK3fn4s04at2H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\nmnQT4gMOIYgYpHhRuHqFFalOSl6v0uBBK08BEmkbbYOJrAsCJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams['figure.figsize'] = 8, 5\n", "ab=[-2,2]\n", "cd=[-2,2]\n", "plt.subplot(1,2,1)\n", "f=lambda z: (z**3-1)/z\n", "plot_domain(domaincol_c, f, re=ab, im= cd, Title='$f(z)=(z^3-1)/z$', daxis=True)\n", "plt.subplot(1,2,2)\n", "plot_domain(domaincol_c, lambda z:z, re=[-7, 7], im=[-7, 7], Title='$z$', daxis=True)\n", "plt.tight_layout(2) \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at the left image, we observe isochromatic lines. They form the locus of points in the domain\n", " that are mapped by $f$ to points having the same argument (i.e points on the rays of the same hue in the right image). \n", "\n", "The darker points are mapped by $f$ to points close to the origin.\n", "\n", "The function $f$ visualized here has three zeros (the roots of the unity) that are black points, and a pole at $z=0$ (theoretically it is colored white).\n", "\n", "This method cannot illustrate however how varies the modulus $|f(z)|$, when it is sufficiently greater\n", "than 0. Such an information can be gained from the so called *analytic landscape*, i.e a surface which is the graph\n", "of the modulus $|f(z)|$.\n", "\n", "If $|f(z)|$ varies on a too wide range, then one visualizes\n", "the logarithmic analytic landcape, that is the graph of the real function $\\log(|f(z)|)$.\n", "\n", "In the following we give the code for generation of the colored analytic landscape. The surface\n", "is colored according to the argument of $f$, using a HSV colormap,\n", "where $H$ is defined as for the domain coloring method, and $S$ and $V$ are set to be constant.\n", "\n", "This method for coloring an analytic landscape appears to have been proposed by Bernd Thaller and exploited in his book\n", "[Visual Quantum Mechanics, Springer, 2000](http://vqm.uni-graz.at/).\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are using [mayavi.mlab](http://docs.enthought.com/mayavi/mayavi/mlab.html) to generate a colored analytic landscape." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to run the code below, you must\n", "have wxPython installed. [Here is the download page](http://www.wxpython.org/download.php).\n", "\n", "Otherwise, skip running it." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "%gui wx" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "from mayavi import mlab " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "def HSVcolormap(): #defines colormap for analytic landscape\n", " argum = np.linspace(-np.pi, np.pi, 256) \n", " \n", " H=argum/(2*np.pi)+1\n", " H=np.mod(H,1)\n", " S=np.ones_like(H)\n", " V=np.ones_like(H)\n", " \n", " HSV = np.dstack((H,S,V))\n", " RGB = hsv_to_rgb(HSV) \n", " \n", " colormap = 255* np.squeeze(RGB) \n", " return colormap \n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "def alandscape(rez, imz, argfz, modfz): #draws the (log)analytic landscape using the HSVcolormap\n", " \n", " colormap = HSVcolormap() \n", " mesh = mlab.mesh(rez, imz, modfz, scalars=argfz, vmin=-np.pi, vmax=np.pi) \n", " \n", " LUT = mesh.module_manager.scalar_lut_manager.lut.table.to_array() \n", " for k in range(3):\n", " LUT[:,k] = colormap[:,k] \n", " \n", " mesh.module_manager.scalar_lut_manager.lut.table = LUT\n", " mlab.draw() \n", " return mesh " ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "def evalfun(f, re=[-2,2], im=[-2,2], N=50):# evaluates the log(|f|) at the points of a greed\n", " nrx=N*(re[1]-re[0])\n", " nry=N*(im[1]-im[0])\n", " x=np.linspace(re[0], re[1], nrx)\n", " y=np.linspace(im[0], im[1], nry)\n", " \n", " x,y=np.meshgrid(x,y)\n", " z=x+1j*y\n", " w=f(z)\n", " w[np.isinf(w)]=np.nan\n", " #m=np.absolute(w)\n", " m=np.log(np.absolute(w))\n", " return [x, y, np.angle(w), m]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this point we are ready to generate the logarithmic analytic landscape of a complex-valued function.\n", "\n", "After clicking run in the next cell, one must wait until the mayavi scene is displayed. Then, hovering the mouse over it, the surface can be seen from different points of view. The generated surface is not embedded inline." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "mlab.figure(1, bgcolor=(0.95,0.95,0.95))\n", "x,y, theta, m=evalfun(lambda z: (z**3-1)/z)\n", "alandscape(x, y, theta, m) \n", "mlab.savefig('loglandsc1.jpg' )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wait a few seconds!!!! The saved image is now displayed:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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"text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename='Imags/loglandsc1.jpg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The same surface seen from the point of view set by\n", "\n", "mlab.view(azimuth=120, elevation=40, distance=15):" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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"text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('Imags/loglandsc2.jpg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The log-analytic landscape of the tangent function:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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"text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename='Imags/logmodultan.jpg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Domain Coloring with contours lines of constant modulus" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to point out how the modulus of a complex function changes over domain, \n", "[Lundmark](http://www.mai.liu.se/~halun/complex/domain_coloring-unicode.html) proposed to add a new feature to the classical \n", "domain coloring.\n", "\n", "For the color function with values\n", "in the HSV cylinder, this \n", "amounts to define the brightness at a point $z$ as the fractional part of $\\log_2(|f(z)|)$,\n", "$v=\\{\\log_2(|f(z)|\\}$, where $\\{x\\}=x-[x]$ \n", "($[x]$ is the integer part of $x$).\n", "\n", "Thus when the modulus crosses a value equal to a power of $2$, $|f(z)|=2^k$, $k$ integer, the\n", "brightness has a discontinuity and gets dark. Around zeros and poles there are rings delimited by dark lines of constant modulus. Within a ring the brightness changes according to the direction of growth of the modulus.\n", " " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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jktFRSv8971mUtIhi1y5g5EirabkzVCZFQF6LyAnAU4uV0YHeyiKVexblHJqS4Vpa6EzQ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\n9+uGhgbEx8f7PaaxsRFxMjP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X=np.linspace(0,8,800)\n", "Y=X-np.floor(X)\n", "plt.rcParams['figure.figsize'] = 5, 3 \n", "plt.title('The graph of fract(x)')\n", "plt.plot(X,Y,'r')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The color function implementing this method is defined here:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "def domaincol_m(w, s): #domain coloring with modulus track\n", " \n", " # w the array of values\n", " #s is the constant Saturation\n", " \n", " H=Hcomplex(w) \n", " modulus=np.absolute(w)\n", " c= np.log(2)\n", " Logm=np.log(modulus)/c#log base 2\n", " Logm=np.nan_to_num(Logm)\n", " \n", " V=Logm-np.floor(Logm)\n", " S = s*np.ones_like(H, float)\n", " \n", " HSV = np.dstack((H,S,V**0.2))# V**0.2>V for V in[0,1];this choice avoids too dark colors\n", " RGB=hsv_to_rgb(HSV) \n", " return RGB" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us illustrate the domains of a few functions colored by this method:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "plt.rcParams['figure.figsize'] = 8, 5" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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TMCldOBmYIA7L5yyLK4OXPHinx8bf3oTBKUHQXwtKtByVjjViSCaWgQwqJgJL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\nYTc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qiTjlxBWwcYAy8oAC9OegOwb9EejXnZ/KJ15eMb9R+cBBT/N5HWtPvY+XP+1a9vuT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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ab=(-2,2)\n", "cd=(-2,2)\n", "plt.subplot(1,2,1)\n", "plot_domain(domaincol_m, lambda z:z, re=ab, im=cd, Title='$f(z)=z$', daxis=True)\n", "plt.subplot(1,2,2)\n", "f=lambda z: (z**3-1)/z\n", "plot_domain(domaincol_m, f, re=ab, im=cd, Title='$f(z)=(z^3-1)/z$', daxis=True)\n", "plt.tight_layout(2) " ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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19zrghssqOonQexxHE4bj+rXHPg+3OWNym8ZrKCUDKViQEdv1PH+47gw2J9MB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shHPsKf/dmfAfDa176W5z//+b1wC0R+uVNNDi51ewdZGbv7E6Xx3vr12oYgHoDjhjEAHDTK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\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YHwWdeHLxvssAtXsVc4hXynhW9DIXIz3QvWd7Qp7AbRdQ5hTcHEF7gOvBVkNlKwe1uvCa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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams['figure.figsize'] = 10, 6\n", "plt.subplot(1,2,1)\n", "ab=(-2,2)\n", "cd=(-2,2)\n", "f=lambda z: z**5+z\n", "plot_domain(domaincol_m, f, re=ab, im=cd, Title='$f(z)=(z^5+z)$', daxis=True)\n", "plt.subplot(1,2,2)\n", "ab=(-2.5,2)\n", "cd=(-2.5,2)\n", "g=lambda z: (z-0.5-0.5*1j)/z**2\n", "plot_domain(domaincol_m, g, re=ab, im=cd, Title='$g(z)=(z-0.5(1+i))/z^2$', daxis=True)\n", "plt.tight_layout(2) " ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "plt.rcParams['figure.figsize'] = 12, 6" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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MyzlE9kvdJb5fStgkDp2mzj7cyDFb3qZyvhvZPunB1tQBGfEV7+Eaj1/vr7Hk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\ngjJzUKWlM9W8/JFcTB+seC3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KpHEHCqhOVKVh224YcW9KJh1b5pScAw05h23GSs79s6P3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Xde94mWWvsY7nWJc7V7CXzTNsN3XuMQr2PKu0wQ2+rjzI7c3Abh6kAQriBYsPO6JuHyfVqfbWP5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\nmcvo+xEix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+68bnDuihsYzg2jG512Nxm5AWvPiIOrWW3XXiNuXjVva4Nv1DrgOVvz9+QE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668f8bvvOwidveB3Q1jbwT2xskL+O++fDLmKjM/2B6g0ldjLWW/gPDe/b/Eb156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Rfiaya7gKGshq9K2QvxAAKyhb6UBMQdjzH/gZlKsjcDw2UHaFcnWFcnkJ3HkB5XiFW296\nJ8qd23jFt/z7O/UUh9Tz6NNVDTL17rRiQOAp02LxE2J4TDfms8Or4Q1mcXPQJTthfnDR8nrtlGm6\n/HbCjcL4+1petB7p+8ALEPyd538dt2TB/3T7ozjIgpsQXIiCqdJ1a6sUvPnikQ6s9LyIyAZ3cLmV\nV2nKxLy90egAW3hgQBLdCkoK+YugroQKgzHgb/6T57FJqUphVFB2WUoHZHc24M++8RZuHwu+/1tf\n4Ro71YBFOq2JRK0WBF0j1mkhXgVZpcVF12z1lizItVvKlzvh5/D5vX+d86anJ4uS0HR04TBBLibM\n6Crsjm4TxlSkVK2VntnSb2pBujmB/vMiY+1zTsZ0mu7AEWQKm4XPKIh6IXUUPH1p+I0tt/q4TJMH\nSkm5dE3V7NzW3OrguPLPYac5xbeu9HRogqhEOuUplF4oPxv7/bzAdRXzuPv+e5rP7cmRz8c+IABK\n0GpZDfk8Mz4fQMjkj/lfd0Io76pGp+arfF63zmZv5Xj9Lvh8xusWF700/rkALyYMfA3ADGAw0Dp1\nPnF/kUGvfkYR5/D5Pm3k83HboH+W53OlWLgfGa/D5/c82NIaGCb+7JcIAmnccGbGPap1hlk5vlj6\n8VPP4pkf+SXgwZvA7SPk5gVwcYCsB+DQgNS64vD4o8DaNFLLAbI0wNQ1VA1kNbcHWQSwnAZLzZHF\n/UX8EwNYHWiBgBXdHdiqbunAC1XrtQHYNsixmEbsWFA20ogdN1x96rdQjlf4/JM/DBybZux4iXJ5\nB7I+gPLCc3j4X/9rWG798UllT8SOEunSojLoal200Z0hxJamssWovaLQoUOf5NfwO6XlWnpeI4xZ\nsudMz4YpQGJwxIBqBE/nA6pK//T2DH708z+PV8oBXyh3cENWXAANTNXcDgK84fBIe2LTUgkBKtJU\nAVv7vo8Cqg1qMczcWqat14VfWSfdC1d4WGvo7kBzwKuduSpLCSBMco1Y61a/9ZkrHFHwH3/w87gq\nwLEUXBbgha3g1g3g2TvAf/ZvP4TXftnqq1S1V8wkO/RoIt66vXRT8N0SoUZR/8wCYRxfy/k8fn9f\np2ogO8ZtaUqgxrgqhNawYUbrbk6rbv9jMbS5goVCwICYoJ7VEP4+JYDe51jqJa11vOqwW1o9NERP\nuZnIKIhPUreVn2mF8h5zHFNuJryW8IFXFkYzgTP9LpeV2K/+c01krYIQZ88/O9ei43yci+KZFp4T\n9Brn0tjP8+s8Po9vyakYRsZ+wU/J6JxfCW7jIV5YMEMwjloWQIKGq2txeT5RYMNnFQuF++tu+Xzk\ndf/2Xos15rgLoPaA1qkttlPtsJUs5wjP80LunsYtKlioprgbPre4Vr6sZLPrngdb8ZtZe0Ik9txU\ni3HQUEGiD7Tx7lpgRgeu/vEfotwWYD3g2b/6f0IevAG5eahg6qBgasX61Q83LdXSNVOysobKwFQF\nWW0roANZBKQUbPHXTN2dwVUAYhCjRc0W/44l0IoHYEd/L1tpAEtpxWnAFJSVBr6wFYi6jxuwbX6L\n4s3X4Nmnf7ppxwiMXb2Acud5XHzZN+HmV34HyuUd3Hj1tzIHIetUU3rYTuh5iPlu7zyW5HyYmIuP\nwqgXbscVlz1hNj57VjbbIuGBlQdUthIdt/r92p2P4oYs+NALH8E/uvwYXiE3cFNWXGDBQRYcUO0X\nvm59TeMs2+qn7gqk6l1QsAiDKNZYsdbKzolJfxsFVgLbMujrK93gNgwq9ReNTBS+S/CztssBMaJ3\n8FU6fRPpYOyI0rvcUYBHAPz0h5/DsQBXAK62gssNeOGq4Nk7BT/2fQ/iCOCBVwje+PWH3izOQIZY\n+Z2RDLG7xk8BE/N5GaqI+HPCgwlYux+u655syVb02cXiyNQfLLOpezbqZc8Y1/cBb5OwxrETWJnw\npWKiPr/RTKZMa8BiElVlWPH1MN9qBfe/51dYxGYhdV8ILaeEzPRHZ7im6et12kCGXZ4vri+IRu4R\nouTC6B4fs3bhOlcUp30OXDMSaN3v+FwQ+Xyf3y3PnN/NzHuNZ+cS9c92TBifuyd2Qxp1qgSHQgAA\nIABJREFUHspGvbvh88ipe3yuKUuSKuXHa/O5z1PrpOhuEYrL8hFa7PNGJPIHLe6orSqUNtfcWjnH\n/D3wOn3d+2BrYo0Q8A0UtRFRlnJuGfNwlZ62QG3EZ9/3CcgrL3D5kWeAi7WCqRsr5LAChxWyLsB6\nwOFfenXd1rc2wLMeGoha6jkqAlTOLQskaK1MW0V0MK3lC/JHTRbTGVx1IKYf6VHJr71yBFkOYMEA\n1mr3sqECLaUpMDuWfg4sgq56/qtQ/Aa+6IxYISCGG814x1a3JpY7n8Pt3/l5lOMRtz/+8xWINTCG\n7YiLB78J5eoLePC1P0LNKX4MSTsq847v3Pt8dgqs+XR7PO5/p8+BnY5bgZT/+pbXcP3Us/81HpAb\n+IeXv4kVgptywIWsuIBghWCVym1/4vA6LBCsUryGCnXy4jNUqq3qYEq8lkrdGNxmal5w7JOan/ht\nu4fGtWk4qQlyRsMVEWilwGsBsJSq4UqA2Ai+hEBYcWBMgVcRYFvaBg9BN9xRUM+IbQV4/y/fbl2p\ntGOQBXeOFYxdHoG3/qkLPPdCwV/68w/2d8mMZCgQO2UUI7XiOovb04x8d79cp9/VC56zMAuP8UfB\nde/pYxx/9WGPrA5WTRaDFNs6WJx1NhXadGW/xJyrqyABXNo3TbhUWhc26YPzLE66IZvc9MRBOI2p\nR4H0TAF0qtVK8poKuuf2CQkc4dNJEk8Sf6RxPIuTabtiOa/Tky1uQZ5P5GtPG+Mwl8zKNON35Wfl\nAeaDcXkBUE2WMwJDH+/WtEL5I+VzqwHjc+ZN4/Pi6mwfMlksfjdftuJicOpz+DzTdDFtc88b8mzk\nczlGnGumn787Pvc7j2bA6/R174MtFgYywQA7gkCgs4yl9HK7dIHrc//hH+D4qYLlwRW4uUBuLBVQ\nHZamlVogy4pyG1jf8ApgqX4sSz1L1YCT8FY/dS9ngKkBWGlcBUvx/BXRGFx12sQfARYDsqjZOrK7\nNADV/ASwWKslx0Lye2lxiwEuDV8LypXGLZCl1PjHdl8BXG3NXSztsQDr1gBZc28F5WqDbKopa2Ds\neAS2DdvlZ4HjEZ//nR+t2rHtqgG1S5TjHWB7AdvxOazL6/Gah37KBim5FTo7oIPBwF/OLc7veTIO\nEDF8njYODHm4DOEvlNsdwvzo5/8ifuf4cbxyeQA3cYEbcsAFFqyy4IClgSnguSL42vWx2lSiXKLA\nCWHLXwKoxNxLAFF+K+DWgJdq2I7QDSemwRKY5kq1WTro87dOlvbme2fGEpICkSR6NDJhoEoSGnLt\n11poO6I4jZjbhqj35rbtiGKATEr1o4KxWoN1ffH3/nDDVQF+9Kc+X7Vjm2nH7lwWvHAJPPv8hkcf\nW/E3fvphXBXgsgDrLaotHSfLaR7cHZOvOeHeu9epGpgBMNt2lfl5tb/TJs8UChMXL2wb1L9mbc2L\noBYzgofithP6knSvpJ4YE1kue/cxfnw7uNhRzN4XQM8wInDqRx86jnPHOVeMW2UZgddunV7pz2h+\npvDz0+z5TB+5zK6Rp32bZ09UmuNVyXk53rPyGZ8EzW3/lEHeA2ZtWRcONFeeb4YXGwh3y+eRZnRP\n8bw/vnmn382CQtLnO+Aa4tfnnM/n0uNHauTzeFJv3FJoscbFBY7hw32c/HpZga33v//9eO9734uP\nfvSj+MhHPoK3vOUtabzXv/71ePjhh7GuKy4uLvD0009P84zWCDud7vr7Z//DbeBCsB2qRbBtAT7z\n4Rfw3D89ArcEuADKQYADUA7AtgJlFWwLUFZg+fIFy1cqMFoauGrAhLf3LQ0EkYU/01Ad2vmpBEBJ\nDe+aKIkAijVVmZbKbx8UB7YIgA0gK4ZnGq6g2dKfgqYjuZdigGuBabuk0YTcS0HhcNH0NQ+R4tNL\nceEQ03iJlJZ3C3dxib6UqgGTBuAa+CpL05YtG9Gaf9uwrhWgff6Z/wSCIxYcIaXdcQRwBSlXAO4A\n5QUct8/h6x/84abJqfGWcomvufVvjUKp++XbDM/9/crtD+CGXOAGVlxgxQGC/+bZ/xwPL6/CLbmJ\nG7jRANQBB40jGnfFQ8uD+FPLn3Qw22wr0Fa/oJnaA1P5Xbf+RS2VAis9O3aku4Kko/Vz8f3fpq54\nMLmE2s3ggeWQBi1Gc5otwRR06RoF1jICrQDMFExpGg/SSqIFQw7EpI5v5lcNWWn3VuOiImOhI5gr\nNgB/5b3P4PJYAdnlseDqCFxe1d+dq4I7l8Dt2wVf9YYD3vpv3MDlhvq7Al64LPjWP3vL1ejwC+32\ncrpejLnKi4/5NchiiIDKaJyXN4kAIACtuCVxJozmgmkUMUfBtJDVQbZC6J5AZ1fUgMCJl3dBmd8E\nyPwcS04bNVseWPkU+1v/rimYDqv7WQn3eCRvodD62BNER8GThVOLiYEOFzo+/24vS+35+ovj8/Ep\nc63vyNuV6j5yHD54PPJ55Drv7s88yecWIePjWOYY7vn6XD63vjzyMS8obGnaQXubanPHkl+Xb+6O\nzz03eT7Pz9n7lPH5+fWyAltvetOb8OSTT+Ld7373bjwRwS/90i/hkUceOZnn//xDn+/swJa/xrtt\nx1EhZFuA5abglX/y0FeGt7Za3M9MLFXQ3KSCrgp0pN779r6FDFCc0EhlmiuEuBjd9SxKA2JooIw1\nUA58BSDG4U5rlQGxHaAVNVsOYMEAliAHXFIoHASomltaHI3L9GPrrC28r8QIrZgq0AKntc4ukqxK\ncXgYcjvNfR+lGWYobFq8amb0Lm1gXrDh9+/8stFQ0/7+5a9CyqjxMb9ut7Oqsp/0+woZ7nX7nmBV\nDVRzf+ONf6XSmgEKDT/0u08/Aqi4tS87P8VAa8MIrArQtFJOaxU0WAhhddA70l01WB6W2vQk8ECL\naeqOP3h3JE1+0cQ6BA6EdQMUK3JN1xr8Q3jQeDnwZfmzfxeEqdas04uBMY2HNvYV4KqUrgGrfmfH\npm5X3ID//ZfvgI9UHgvwm//gEseWno5j9uOZ3Z4OXn7XizFXuXRnho5yWdBeNZqE+FGo3ANYe6UJ\notj0TwXQDVvreZzSgBVvreKV/0pfEMwUUgpf+mzLldZFLoBG4ROBmvsVHPH/9He3YMzNO+j+84XQ\nIHhihBwjUMoBl4T4dmZlFIxHwfR6gnMBcy3TLLfI+wWn+HwEXhFUnSrVPpd7DVfengDoW3LM71xW\n43OhZ5/ic+bO6/M5a6/4LTz/AmpjtPqT7YJT+ixuXk8ZD9k1b7k5b7P7XD6PskPO1+fw9ssKbD3+\n+ONnx7X92PvXQ69d+vdt+lEi8vO5BrX4VUTq9ppGV/fWeF9XXLdWy0eRTu9AC+3OPyz1GwDkj+EO\niDkgNQdaQ5gzcMGAydxylkZrRtu585ktobv+FEx1kERhKOY+Nj8svFypv6jiwtKAwtCGGkGV/gDg\nUMy98vRbWtI2sZG7hy3mL6XU6iil0vu9PVuNOOi9VGC0IoAvMvbgvvekIE0MUK0wgLWiy+aUvrdq\ngL96Co8BGDpo0jQr05PfAYJqhM5A12jNr3iasBaqDrQzUNXDRLf0JSCrMZXfFmiTa71v5NZ5Sicj\nBVc2bgiF2fS+UJq9Hz0I82jZd64iAPPgq5ib1jNS0EUAbXcb4lJCOIEygQdlXWNW+4/GdVo0qYtO\nFRxJB0xXxXYDX5UKlq6K9GObSjuW0pXRR4g7lrnBuzXey+16Meaq/SsTLuMkPwKt9OzKYBTD0kVx\nYhRY4WJ40XIUOLu/a7fQ/bqQpUJnZbgSXkrHBBUspy8/iF6aZ0nieAHUYvt4McT8dZrwwiHXhJ9D\nJgLlXQGw866Z8DcIiqmxjFwQ1XeM+fht576MmWC6f+UxrLkl+K1EA69ew/jLeXxOMkPg7ynYGrRb\nNTcpbR5I6stRAp+PPD535/7I55kv9JKBzzVusLg5O3sYrQ6e5PvsDfIrH6k8NwiA3CjMyOc573N8\ndV9nwaNeLyuwde4lIviO7/gOrOuKd7/73XjXu941jXvr4aVO2OKPD6n1rn50qLkXums6aeESWqA0\nkLWgdpwa3hKoZZmOwhYwEOugq2uSCGhBw1i7tXiaAjEGQhLBUabJStxTwJUBqqj9CvR6Qt+0VXrP\nwJUDZK2jKK3WsIWjVGUdgzBM3GxdZyX66sOrVgrW+dVdQECq5cMgS+k6kIqWv7Tm9+eS1mKAikGS\nATCiSaEat7BRj1iGlmFA5VvFgy4DVgGAOTfRBA1k1fiHVre59qnAzkzxWaoInhbK4wikwGpp/qre\n1O2B0fhIHQb9sJu7CxhYWbr5L8K5IeMIrhIaFrtHYxrR0l/Xbq3ogMqDK/jwDqrKLiDLNGM5rYxa\nsgbCtLz660cgIV2L1Y9VgsPjXZzNGwVV7Gag1ddV/jm8rjNXnSOK7qWLAqhk9GFbVZ5bDJ/F7Vdp\nYlczjrGhQMjsuwGq7Dtb2jfbSlxZQlXUNH7zNNBX/1HCuRzL0bun4mQQ8Qq5LVUXTKfaLC2rveto\nGntndT8BbzWnKKiexylzwLUviNrouq/NysfZ01urrsvlzMvmH8P2+ZzfCs49Cx9K0eZ7a5VkaYEM\nY7gPG4M1uDVUCqAfO9ZnFPDuCiU3v+RlM36VhIbp3fN5cWnZDPzI5/G9NP4pzVWyxXAAYvq+9bpb\nPo+tucfn/lyi8VN2NjFKGTNZI7tecrD1tre9DZ/+9KcH+vve9z68853vPCuPX/mVX8FrX/tafOYz\nn8Hb3vY2PP744/j2b//2NO7HfvF2b+rXPH7AI2+8sN1rYhN7B1TQhmkZZLXZmH5pdwZcDmTFO2u8\nFHz1+xguLnyxcAfQVp8nh80AmEprwS+ZRmsGxjKghdUqVSuSJaVIcxoqu/xqCzAMMbxSnLlL+1dQ\nwRGHc2du/uIAFsUjf22i0t6hBHd7nlRho37v1gBX1YTqtj8GWnZnQGU0rd0ZsDqrRTrIOnSaATL9\nZlXVWhmYUhBm4bCthMBkO58Cqgw8MYgyQxaANM3tkeLxlsB65d2Rh74CnbQiqDJtVQvvK40eFeW2\nHuOdwjMpIvxKlrQDreJo0zNdC1ItlwNczQJJlsZAV/HgKt2iKI6ebl9cK59flQikJAFWGdgyDVgP\nhwGrI4BP/pNLfPKjV070fKmvl3qu+vAzf7W733DjT+Prb/7pE7mfL4AWAOP5FRM1Zn7NiQVUkH8U\nPFXg9HTbPgiMZ1oQnlD8C51zFeprnjy4T91H0VOd2SasTJsFAFv/APIgYDohM/thEl7z4BGqXhEi\njP6TVglPCKJKmwmkaZ53efmml2lYxucA0gWFWY1E3i4UDsSWy4DWyO9oc/+o3eKSkqziAJdKo5OK\nAfO5vfXIw/t8rnw843Pz7/G55+WSxMv7QARl9kz+jXy+f2WbQu+Gzz3d6iCTQQDg/37hl/HxO798\nsnwvOdj60Ic+9EXn8drXvhYA8BVf8RV44okn8PTTT08nsG/8dx5wK6VOmRJqTQEXYJOTXkVMfFOQ\n1WlCDSDtn6ZVf6cJ+ip9B1cBVA1ALICoKbAyEVwGOklrHWTlWwxBorilP1h6JOl5G2Gv4Fi5WQuN\nopRM6B0krZR21aBiSboGq6UprZhbsUYk7ZRwPAVQLaz7G5CyEYDCYPd6HgnmbndrDQ+6FgBL8UBr\nBE8Zbd8dYHRCN9pBRo0XpzkktBFIMcBaARwJkHGY9DQGuMyoBWuSzNCF12U5tiILZl70VEFAG7U2\nvAGqzgj0rExcCAArXjE4A1xLTkc7B8oAqwMapYv3u22G1B0Hd6oFkxyoOf+oIRu1aMC2VF64wkx7\nlbmLo/Nrr4H2VW++wGNvvujx/68PvJDX/4t4vdRz1dse+jEAObeZWJUIl4N7jKODkhdAI9AaBdPR\nnYnBo0AV/wToq/5OEJ2KhP4FRjEquZoGoPjC3YUgamKmmdUuw9v5FExjjZbStyGHKFzGPKsga+/G\n21HvBszI4AtC51TD1WvV5bMnkO65r1Nax8N0ZeezAEyA1t3w+Vh25YeCUrX9BV1zq9+QK64tI3jQ\nrbDBCmEB0LfQj0vN48uPfJ7xNrsjZ6GXdcbnxcUZ+Vz5M+PhU8AMedhAz3l27jcq+wbePVvDZTlY\n+rFcX3+zLozpuP33nvtPhzIBL+NthLN97s8//zyOxyMeeughPPfcc/jFX/xF/MRP/MQ0n8MNFtkS\nmT/0ZD0Azv4ulpG7arOa+KgTglCG6u4fqktoPWyZ0KroIZ0m8OBqjJuDqwCS3IdzFqIlQEvdqWYr\ncW+LVfQV1bG6rWYjIQSVMdoaaB0wYQRMXStF9KUlbmNdCWDKpyNaCxcJNC1M75UtHsx4RTWGUe8m\nPwfwJQykRi2WarYOmNf8jFbTRc1WBsAkdR9QtxHG8BFkLc4/AqnNuaUvf5BxC+qL520L5KsdoLeG\nhvRJrTMFTbv5L99WmDwxBmWFE+SaLWMED8SYlgEpBUzEIFONlwNVZQyfgjQZNF/sZiCm4Ei/vmBn\nFHURIbolD4PlJUybVPPL7fpSzVX5Nb69Ey6d+4sVQPMzLtHN/gyEzP44lhO+BJR7Johm9TINaNOH\nhfdny2g0gN2llBCe/Y/voWFUG8kqvQmhBsRyofW0EQGdS3Zm0KRmLMVs2MoEUQtPhFZ3j+P1+Kz9\nfny6l1uLSkJ7sfm8Pm3O2wq5av0VCe1WCoqwhc3QegWogCvWw6y33x2fa5rr8nlxOcz43PNubrkQ\nLo8clLXXwOlrxuenpuY54IJLH+/M6TM+n10vK7D15JNP4j3veQ8++9nP4h3veAfe/OY344Mf/CA+\n9alP4V3veheeeuopfPrTn8b3fM/3AACurq7wfd/3ffjO7/zOaZ7LjRPVIJOBV/zat57lEmD8Ngz5\nTcUr2qp2hwAEnDw4kzSOabYEfhshiSVMj/GycAe4eFPaYsY4kIWf0oStwLIYmu1nrNAMVOw3BQp3\n8tgggG0DbL+1+ZdJuH6jawlhDVDJAtN2scl5kFtgGi2lQ5tnpNck3q3bTBlwLTA1eRdUXUtojZ4P\ntBgmR8jstwNyPAlppLsj6FrI7c9eKWiyw3rOXc1JtjjstssPZuP2QVC92gDXGxQ2QCotbh/USUn7\nnuvB9CTvF0eL7jF5CcHDI5inlowO13U7LYKi1o0V+DjwFYHYmmu0UlAW84zALCiwtRu00aMWmV+t\nhFeMfqIruIrDxDkT2Ut9vRhz1d2/qU93WgDdv+OEG+QfxaYggtK5LQUKg4BVYOOqyz15oZwwXCXz\nl7Hs/l5Sv3d7wTMKoScP/5eZgDkKo6PbX/s1wK02xpUQxw1Zu4ALiOWRcD+3dJnb8e7gFkf/0vF5\nrI0Zn/OVLSBUV8rjUKMYkesmL3/m9aXi85HnM4BF/uJ6+fg75wxXquWCc1+nOrK41+Fzu2uqnM89\n7fwSvqzA1hNPPIEnnnhioD/66KN46qmnAABf93Vfh9/4jd84O8/DxTh5D80uI31pdBYIIg0SRLBe\n72IRup9y6mGRHkSQQaOlpVC/gimig8568U/PdmG1fHoeJLk5jVgU7WfiPktmCfMpz64Jrc7IPVxi\nQ6wtfAl01la1e4lgi9MNkl7i7nkVl0Y4Xm/WEmYZntgKfEvmfmud3Ix7PKuVtcLsxwDKaDLQRiA1\nar2ycNsiyL1DQZaALQfWOqm0cXjaA1d8qQlkrevSFgYCzTFK6w/WmOlvrs1i91ii8Bonf94yIQ0k\nrXEdqOI0i6d3UNTCZkBqDr5C3AO6VmtIE5jNthGWATiB/FfUVbJwV5vF1+waws+fzl6668WYq4C7\nedeaIpPT5gLovgYARFM3KG5WVhXHinObANqh2GCdjY1naDlGIackL6il27MLVpzbMskF0XHFv4TU\nPiS8X+E3nwmZGGkRoA1bEMc87q5PZGdTrFXdSDcFXJYmK8OL12fP5/OxNKC0GZ/n7vjkXJvV/op9\nOqbzwvCNLa7rEiin+NyXKb7XzD/yeUnoI2cb/5m7h062DsLFTfzDQgOCO5blHD6Ko1KlfTF8HvPO\n+0Aee+96WYGtF+NaLqRP3rPhT7cOqlzDYZsk6+IkJ7G/X9Ej0S2JXxDB1rD6PgVmCo6iXkQwAipJ\n4hEQy4BaBsQG9w7YWkeSaxSQewBMHDcJozS96PwB5N6oxbRcfHZL4M9iDVJh8T1sBrhQw/ioXgRZ\nqs3yCo2o4RpBWGylPehL8nMCytTohYVlGq1cy+W3I9ZyH6lECq5GDVatDzstqRRVe2ZnJ7Vx2W3h\nPFDbsXvfUxVklUbvemkqn2t0hMac0HeC95KH32ASnhijkLsDMeev44azZHhCy1W1WGUEW+oOzDMC\nMZ9vEbFFLOouV9osoQqUxlu4jyEsm4yyoeNfXNYrImd2AU5ma66Sx6c7Ejd2/BFize6zFf+aSf2g\nsVps4+e7wvaBPpY5vonR/BRTyL13P7Xaz++NRJBkobyt8J9lse0csHbelbf/GBYNC/RhqwmijubS\nGCee+6zrXaf5fJg8etjcAMYen3MNMxcxB+z9Mc+Pvw1maTNsl01fzvNy9p0tHwbyW1YI7hmfM39H\nPjeQhfT96p/yec7j+xrdu+f3GX9F+inAxfQZn1/n+fG698HW4ZrNK4mcDowAK9AAneRAPr1Zc5wP\noCY0p8WapWHJLKOxlLa0PGZAKtBmJt+dtNeurM8wYEK4Dz+Kq/Jyl5uLpxUYyGLEHIGXtLSuSotv\nxLhVkJqwgOLyC5BUGXmCafbzwGshemyp2Gp70DfTbEXQVf0ybDdUQDVqxkaN2OIG+2gi/UhbZK98\n9QS3TdTGFH5gq40ftwzWdB5cGc0DKw0/74PFAoAF1XH4ddc4ogPSSn/6MTVuVqT2SsOZLqUFhugA\nbU3idI2UDKApA17VX0aNFvnjh4aHLzLoNZsvqWvzJBSV39cTL+/ly3pFZLmBxoadWlgmgEqPM2oG\nZsIoh5k7EzaNKuSGCm3Dt4cEavW17AmikGphto/H43WKdloAzcTNURQFijORPRMoC4Dp9sLpdixf\nUic+xykIgG+pnCZTWnWllgVFukXfyQiIGfAay5jTrhvDos4MX1yHz/05R8DeJ9ZmBN2+xROwlfJ5\nG/gkay/3MOgUujOE7tLuhs89jUKDJc6RX7c0Xo8/aMOQun3e1+KGfkU+lxCanj3cBVyW0vz3yXe2\nrnOdAltqAl7dqdwj+UajHIAFsVLInThrnCCJnQO6Oi0Cp0Q6Q7a1UOzetxhKCMt+K3LNWHNvazZX\nNH8Z55Il3N2veH+Iq9++6qPn0tIEgbXTOK6zLEg0aoY+4lEcyeLQlVnHi18l77VcRsDlW2bUhM1a\nZadFHMCKoMuBKpGRBrZGyL8C002wFcGje3c+uFfjqD5E68SrOG2a09+a0Bh86U9NyDOj+Eafa7Ny\n/6gbmIgRIYuSRU0HkFq8EvwcXuxAlAsrkcYASzCCrlNbA6P/IMYIDMxa3GOsGlh3jZNKadY2HQ0E\nrEp1xxa9/7RadyNa2HU351b0iUyrJbFehx7my8dpbcgu9YwWndXSrYN72pq+efCkINpKyoVP4pTh\nza4jiGaipw+pZWXh0GpieM+yYaat8jR4obT4MI1/Nx9U5Ws2qtVWH+cv/WTAbFvhXu6TEfPklTVv\n59HJtkEd5a/H554XMs4zmrVidwc+r4sF5/D51uSo2XPvjs9j2SNve9ppPgc8Txo9LhIArN0taZwJ\nbxe+28WzsqfOWyhSZ/7UnfD5nG/FhZ/D5/c+2FpNLHOKEcC+jwVr2CXGlbmc5K2nsSM0pQtsHgee\nNF4imSUgS6J2K423BPoyhkuQ1nZ/Ag+yJvoVWYzvp/s3i0lTPBpoMZy2CuhnqEIDdgMXaePk9GHL\nYBqX/CAaN2MvNPuBuHVQYENgxj9Z/BFc5cYzZq026iUlttLQet4YRgyPZ7hqmXyFXKUDjdGMKaTd\nlS4uvDKJuBVBYwpvzt16bE5XU/PTHpz84oAZ+2n6cmN0wFsijFkN/IXhg8f1Lj4shKdnutbGv9To\nUdPVAVQKtJADLVZ5IpneiMDgaYXYfAzf9fmn9m48J2TT6P1xZeyl1yBIJtupstxGQdR4Pgql2PEr\nLQpSsz8WwLpgJdy6pM0iQVQwL0s/4LLz6jPhc+aOgme28s/fFcr+D+86q5+pMY3w5ML0u7vGMW1m\nsW0M68OU8lhqVCC/f0mvCY8b347hzOcyxD+fz/3dFhDU3+mhLfXD3mMu0U2vGUO/RHw+0nI+727i\nOwZVWZ/3Wwc3ozv+Pd03vphRf6yeGZ/bqDLl8wT4ZffrXPcB2LKmy5QoDKYi8AK5oxZLLz6v5Rpg\n8HBnIcFOvL/GmwiCU4DGEliMH0X3dh+0UydE+G59kPNJthuWZQdk8a/MGyVVTJSduMX6uEPTLV1W\nhShDdTnrgq16i4ROr2md39N8Fhn4qvGzlmH/QuljC01aaWcDqAzhOVzOtVvrkL42kL3rAdmWwV4P\nMjKFiX+AMs2osdK4WeNrWKw5Y4A50EJ6z7Vf7k1mSdNowxbBmCb8UsClXSvSKdxZKGyrSMN2w9aA\nJWGE/v2uQxKPwZi623WF2goKlDzIQm9epkU3gGH9Jbb0v7gmV/r9rHj3RgH0ikKnxkdC5zRI4vCa\nv4/ZtDHBHLY/v6W5FXKVoTwlfQsuVMGeQH6ue7bin3+LqLiUUXiM2wxzN+ea/cZn5W+ZXVyLRvn/\n27u+WLuK6v3NuZUAAQmCqWIlxNZK/+W2Rm1iYgLBCrHBP1QDEh+M1YeKEo0x1RgTY0IV1AdRH0xM\n0afGEI1FUxuxESjGaISKhiKC0h8tIKJFoFr6d34P58zea61Za/ace++55/be9bVzz94za2avPbNm\nz7f27D1b1jdPt9MAdCwqUKdRLRq7NGZtWzk73V7qXXfAIGTbGHrjoLX5IH7p2NYvNyISzdLffp/I\n+11+vRvE5kpldWXtS2trtRN2HqWEZp+AtFU5Q6vb8SAoM7Zc03Z/qjam5Q1ir/Tw9hBgAAAgAElE\nQVQpA2s2dzqY985WWMRpWGpKysczfh6UuFQewB4rhExvW0soosQhgH2HK5UUZMYgZCnbkvGUoaV0\n6UgpLC/IvIaTxih6She30Av9bLgQ+b76nGfMG1hL0/LQ6gXQdHISFyDKaJol8v0UzZaAl4dtO25P\nHL6t+fJMl9ZCFa6ykm47X812aGe0cucL6FNteglZhNDQb7Bf7csf/TjNCdMNIv9IsXSqMgNgYVjH\nq4UWV0i2ileC+b6WJmM0cJY+QeIVI9BnuQLv2tK5EqFxstC2UNqeaEgpT0OTnudJLUcntWm3Xwgw\nrEsRrJZE6mUBGhG1VmZre2uS13Sk1Kvdt2a1WomGnDaPFwItCR0chbyXVT47rnnLFSOpJ3oEGiO3\nKbUc/LJFAbhEG6MR0pZUNgsHNNZMCSfQWHjxu0RS63pY1Sjjg9jrIqPNZuc7XTXH0xTsNoA40DSP\no1ZR3gZsO6c139q3/CW2zt47HFzdIgYrFdJ3EdPHPlFREcKVjOlWhMw7RTuPulXLGNPWCwtnlGxa\nmwmmOg6HfAVCKz4YaeqIX2HnHeygwbx3tnq9AUUL1mvz7WBP00HjAo+HKMOu5aCkhYp4ha1l8TRP\ngampaRo1T++8SCdropBHpk+gWdqxFLLHBMX2aQwe9wu52kku7ZuPEQL52tRKWlbdpGOyRhfxMOLZ\nIXlHzhdU0We95CnLGg8kb54emGzJAcsdrdwBs9Mj2tmsCVIl9E0b+shgJOmRlJTqkD4mqBtFgGYA\nicCZb1yyGg/a7HDxslmIqxSz4iL7rEA5ZA4VTSs0uLaYhhqf5A3vWz5yyJysSLaR6DRpnZi3mOak\nyW26Ds5Cgj2cmCkMiYBqPK4lovWPVdEyLEKaU08077PQO/+ZQ8Jp3wCciAaRKo+tI+Qfmw65PCOj\n5CZB+yvppzYfoMx3iLv3fOZPDobIZEvLv7NhaQoIbCuKOJ7eSUaB1i6NR6+GV3Bqdq7bu23n0q67\n7FwjM6mtY6D2kUqjHymO4J81SL0Q7ClB/bgFO49KWsHOIwBMw855PLXz9tFBzemSN194fmTy6fxn\n0s5lWYH91e2cxRl2Xot572yFCU5c5aCvUrSQO18adUsdJIuHEMqUSn9EriyeXNJMkmh9oJUwM2tG\nTNvWlo/PtmV+kl4zs0UnILLtPrsKac19y0NuPkKsNEIiodrMVlN1kcexKo15s1nxTXo+aLVF5gtk\n6KHb+aK1XdMipZA++9sddLn++VDnSpICuk/f0dKeM+0N0nrNNjeQ3mDWUBpNe+ZBNSq99xbmpsn5\nWI1tiFjFqbY50KGiwaPswqKxs0U0qPM0VUdMznL1wJaETy1KW1c+Cmg5UewrDESldD1uW5wOvQsQ\nHe+oWL/UKHUiGlgalLwyjecU8ezDxf2UfF5rQKxCyjkIbFGBpCuhpYIFazrp4BkjAiNJUUi225KI\nWtRTI4lozqmVyUknd6Ta2uJyyMrQtacIRpp11z9dB3Wi2dpD98IYAUDz6FWjZmXPHcq50u1clynb\nedKO21S+LFLJdeCWIh+PJXVL3vFKR2f9KoKsZB2NFrPal+o6FTu3Z7b0WVswO46sNBKXrbQJ0Td4\nHrY/pfcU57adz3tnK72zxSZDUOA2IaddJm9SWoM1aaAblIENYtX0UMg7CF23w7ucLyZn0Xaap5bC\nKzNbGquiLMqSZYwr8kak7IypGzuqIQ32tBFImoZBeix1fJE3b82WSGjpPF77FpcdatxhvfVqHS1d\ndqI5L/rulVw/Ti50kTd4YJql+OR4GdOeg7OrXfii7FgNs412W4nq3C4ZQED5kUJxP4M3auDlFLxv\na0aLvbdlTG2yd7jQtnhqNe3xQHMGK+Zxbcvnc5sLAkM9HmgWAoATzIScrObbMPcDi9PkGqdLLHkt\n6RvPOTAEdg3lpKjPZSJCoFRKO8MSqDsnj8Kv7znx5Hv5LyGh6mIAp7O4zMFSHTSI3zZ+OpaS5y09\nagV0LShgHsP81lsdNHu1jp7LlD9ejIr9/EjcUaA3E+hWcqwCkaVjZT9G+bzBQMlWRqLUq9v9mbdz\nKplsNUlIW+f2LI/OdRB1RspO0O3HrqGuvBr9a7fLdm6WV2nn897ZCr2Wa5gOF+cqWQCUijaWg2ey\nagsQaXNwTWla6aV0EapmtEhc53tbXU7XgOlRtpQYk/Xmu+ZA9eJwDdQ4WYpcU2WxIt2ucuuOSV8m\niv1cJL2vZYUeyZp+tfe3rBbtauXhHaz2vS1l8mMwTKSHxoC8UfvS+vtXbU/Uvp+VpzPjgHS8yk4X\nsn2756Kwre1XZCsUL50ra0HRFNI7WMVZrpSudddBut7QQOyFPH4C6owXbTHWtWPMrrPWtbdJl91d\nkXN0uRfBlOFxuVxLNvUyJBml8Q19Grzs31Kw9ld7fLC9s5/ITbsXcBpRtHoAmsetWm3LhMtKzelf\nqzeP16kpTWFzd+xOPyWhpAx2x75AVgVpzfUYDvLOfhuvyWrb/GMAmkzh6jiD4DYq7diK49tTsXM6\ng4PGQWiWfYf+uGwav1onrLXc1Adoy/RnuHhbddXrKOxcv7UwOGdWC3TMNmy4GJD/TmP1zbKd2/Va\nY+davmHS5r+zNTHcws8B6Ob2EJVac5UxZTS2ZYmWyCREGZK6QImTzE06WDROYW4aRY890HdDswkL\njVVJjk3jm8cFjfxZiHZjNb+KTAbRYa3joCRGnq8PQgVFLYB/0DgUtjU3uKuF8lYNWZlWWcl1ardT\no6XZLLqaIFsOAfTiGjKjoI3fb+CQpedGw52wslG0F9pSo8sW0dLpttL+WhHavqJG6cPGWry25Ls0\nCu1bXLKrZq9kajKZU9Y/ftNFI3WsgnpfhXZn7UsO9Femqd3TMUC/diRx1OPsu/1yXyOe9IpIr1mc\nyBHnA8kJI32ffHMr0PxsQYwwkJfUKDZKBlKCfdaJ0sr0nI6VCKg8Q36uMJbI5kQ01YVKODMHjJcv\nZcwhawjk+btmt6hcq6emR22cBc2WZ8rOpV3X23lKa226tSTFMRGzu6GJBxA6biORl7hm0s71bd3O\nNTss2zna/RhZOrVzffaLHqeVOBPtvIT572z1yjxHDWF6eeSFvFWmRuH0pxAaGfmryRpsrYPN5Ytl\nUEYWkDM4wvAkw6J8WWNVAe17Jxq3ppWrcutY13hIA7poCLUsUQ6DPhyUZGgxWufup+cdu8bR6mpd\nLQxaueQ2F/P0mnOkDZxcMq3RqSxdCIMePRlNou2l+ZC2RkOdFy5aoZ8zsBscWmOrBtDGWVmMIiKi\npoa6KCkN8jtb5ixYcpBk15fdlKYXHK3mMiAWy2i6dwQmAm85rZuz36ivBmvlXzCPERqYPvns072g\npLfbenkaGaXxaS+fy8mJWU7AWs1aIgqkGy702GkOIF3Go6ZUBeTYbJNRSVbze/0A2GxWW4pGRAFa\nB/RX1p69gls6XglBOcuUoqfxUSofg/RqphZU3xTDN9ls2rn+vlb6jeyGAG+79OhskG1J2q+dzQ2N\nTdMWkduIyGa5WtjtrMXW2Tn/2+xFavu877Z2nq+yGZV/PI+8NkCUOzXMtp3X2vS8d7Z6veFoWMN5\nCJeqhiksSu98BDBls0yhZWX24hiS0SUGpslIx6qG4mt5BvtdTlZKJ/HBcpIyHh0VuZBXzyDEGkeM\ndcxSi1vUQx62f8kfzubyPPS+V5dTpbWWlidvscBkrVbmnDvpqb2Rk3JGka45X0lOo+oRVPO+8x9F\nvO1k2d/LKsWhIw5GXGX2ALaUrKpiY7ckruRcUTunXVxxpOh3utR1cAbpacbL+hRfelK4F9vvFFKR\n1EqqixzRLECUZLUZLqsfOOzrk01IQ5Yut1HYB/LFBOQxNBJFCVYgKe1d/9DkSVvtfeeW3LQElVKy\ngLS4BkebAyIHleGx+j39oqulrKKWE1JCJMlHXxnBzBwrqg0vF+yY3SiNZLaMvQKh3A8spkRup4Lh\ncs+MnXeN8FBXHkytRG08oO+ABbFwTAAQyUe7E7jVktocbJRf55yenWszt7V2Tp0veR1gTpmyOqcm\nx5258jmXHCApmcexWh7azqdi2/Pe2QoTJUqm8hxzOwshlyNHZqUM92mUSk1q140uOlodLI7FaRRe\nMLb0GKG8tR3JNmNf4KzLUqnT4RJVRWqsefm6pnERq3qSfnGzpSVqWiLJ9SrzaA5TTSvKfNL5sh43\nbB8ZbB0uviCGvcY/X3XQMoTkjJV6r+KYFWtLS9NaRULEV4iYh6pUKwLdjd80ZOCPFmrdmThLmjPG\nXsgLSTaqztZpkqVp3Zi3dmlfdu+Sw7VwoZ+95ljp6eVHqtq+kpdZIqN8nztY3NXiHzSm73BypyJt\nnkYIvew4ITv2YEYsU1I/Q5nXPpe0rRFQIL/LT4kjr4nmOhhpCTl51chmPuPAZafeJ0orttEta6ls\naztk8SVdQ2FPliBTSzZcIzMVO+/H8XaIIl7eWODvcPF5rdiswslxptk5s/V4ml0DrCBvMliOFzvd\nIWHNbvEyp27nLaIqq2H+O1vB5ilNEKuJlGRLxwGsBtEyVGnfD9VOlZSVB+rKn26hG7e8JWuzbovT\niQvtNnUpXX6kWH16rNSoMY9DsKsjdZYmnTSkVm6TVWlAFkUXt7DnWWjW/JD8I8gdLafGsVYK+cyZ\n5qBZrZ8cL+5slR4Ao48Ual53Kxsy+p1kdfrdPW9o1ippqmFaxUi24juKjDJN68oFR4vOUjXyhlHI\nRTGCSC/KKotmnO7xmaqmSwfdcYrIT6EHWkb3Jw8WBqZ2prbjpcdymsavZCXiaWunkU+IvXx2K30A\nnpFQAO1CAq2utMRWd0XJsqJ5PnOfnEXho6+RnXtOKqMgldIJyxwt670uRc9hELK9MknsXiq7Zns4\ne7btuAtBzd9l5/JYJTunLgBvTfLoIJvJGtQfeXerrdHIlMjtPDTygJi1miE7z10sFOw8d7ykk8Qf\nbxU3UrKVCeWvtp3y1aPLdkZj5/UWO/+drd7UaRmAbEZqKCLQ2Q4lptSRuaqNNQbXVRsWLdIYmpQZ\npGmzVpRjlw5Fv69lnEJ5ZivU5wHyBm4gO3rg+ijyvHi93Fy1/NsO7amE7HBWtdXEKS1FZPPHCa3t\n9Nt3kkqLfDeN2vwGFifTqYOVatE0FOMM5VLvpZqzUNH/akWNwwYrbRAaZ8xIVxca7UH9+LHqhMlZ\nrsa54vuaLHtHK+Qtos1QpUUx5MxWv4z8rbueyL9QMN1zbUnkcIthyOMOQ0apO0AfP4qhJaNtWiA5\nErWUDhma7w4F8Cux3M/1CZykBdtJ6SSj7OOvuptFSafct763FUWefDZgUI6xIEF+zhJaLelS5Thq\nSXae2UJus8GI786f9qHI6/G8/VIcfawwf19Ls3UM+oRt5+1MGIdp5yGVap+3tU+dpLJ9545Xk2ba\neTvTJS0+7yc0rT3f6dl5P73Ozru/sTVdLABnq8hp+jIpBKgV3kXRsrTOllJKKubpYltDhinnLc1u\nkVvjygIYalGanMbUmoZIDlPoaEitPpVOaeULg2OVUHmMkkqWPeaOW17702u9kMVpjpXW4vK3vJZc\nzNJDMT3X2l6mvexw5Xk1WHm7EJC19TBFdDRUQwqm0LjZjJfSRWV3LaVr+dPMVjOjBf6YYNcjgbSL\nhQ4Zet/FUSaTfdipOdnkiwnI3IkeyhIzp2SwlWZy0iODjGA1M1ktCe0vKhDQOlmUkOYKy17Hdafk\nlmQS3VS7qtvnk2+zO/bNL02N7blpxJIQzMjyyzIgyu92nmoQ2FY00mRc20Zd8vbx6uTrUWfn1ClL\n+zJ3jZ2nfeqA5DO4qSThcDV9Qh5Rt3PZNrKPZmfJv4lgWkq9nUt7z22TOkrSgWJ5tE8dxLyc3Gmb\nHoax88Bih32sUC9Tw4JwtgCbUtXGtQWWOZVCw0hiFxNTtCy+7FVgX1OawZqurDKzJUlfFL/WInMy\njt5G1xpAc46YrJXXaq2QH6NBZGJyp2wfUU3jquXlWLY5k63I9/NvcgVlP2/UCL50u9bYeeheUVD1\nvkk9DmvvpX5Fy9TKrsxae1gRV+q6xQ8fB+gzXjSfcMRKC2/EnpJngncls9tG7nBpTlgvlGezaO07\nclikMo/X89Tspzgo8W26Rjvz72vJu/5teiqflxPQ519pCEwuWbClDQ01nctxnILSGLkXRVrraMkZ\nq9y5sh0wSli1RQqGgd1/aH125eH1K9ODsT1VWDZca+dUG8umh7Fz1r5AszIhn7cBez+RtlW77Itc\n6EWzc66H3tp19j6cnXMLB9uL2bZ8RJaeszZTa8mClZ3rVYNhRvNSXNfCGdPBgnC2tAEcZL86Tqn5\nevoV2M9wpVirDirldzKwEgO0mJek21qcMbNFeXeNGl3qseqKvHG68hPEJm8oyvHjgZxIh5gS36bl\nM1eabKFFh27FkmOVO2hBTdfirFktfVELzShEvmC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ab=(-np.pi,np.pi)\n", "cd=(-2,2)\n", "\n", "plt.subplot(1,2,1)\n", "plot_domain(domaincol_m, np.sin, re=ab, im=cd, Title='$f(z)=\\sin z$', daxis=True)\n", "plt.subplot(1,2,2)\n", "plot_domain(domaincol_m, np.tan, re=ab, im=cd, Title='$g(z)=tan(z)$', daxis=True)\n", "plt.tight_layout(1) " ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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