{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "from ipywidgets import StaticInteract, RangeWidget, RadioWidget\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "# here we define the function which depends on variables.\n", "# one can define functions with as many variables as desired\n", "\n", "def f(x,var):\n", " return np.sinc(x/var)**2\n", "\n", "# this is the routine which calls the function f(x,var)\n", "# and plots the variation with respect to var\n", "\n", "def plot(var):\n", " fig, ax = plt.subplots(figsize=(4, 3),\n", " subplot_kw={'axisbg':'#EEEEEE',\n", " 'axisbelow':True})\n", " ax.grid(color='w', linewidth=2, linestyle='solid')\n", " x = np.linspace(-50, 50, 1001)\n", " ax.plot(x, f(x,var), lw=5, alpha=0.4, label=var)\n", " ax.set_xlim(-50, 50)\n", " ax.set_ylim(-0.1, 1.1)\n", " ax.legend(loc='upper right')\n", " return fig\n", "\n", "# here we look at the function's dependence on the value of var.\n", "# we can add any number of variables var1, var2 in the same way.\n", "# the syntax in the RangeWidget is (start, end, increment)\n", "\n", "StaticInteract(plot,var=RangeWidget(10, 100, 10))" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " \n", " \n", "
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"plt.subplot(222)\n", "plt.imshow(z2)\n", "plt.title('z = 50')\n", "plt.xticks([])\n", "plt.subplot(223)\n", "plt.imshow(z3)\n", "plt.title('z = 100')\n", "plt.subplot(224)\n", "plt.imshow(z4)\n", "plt.title('z = 200')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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1rpDc/io7d59i78hRLnNf5x0c5RKOsYfj7GidZXCujldv4TR97DAitC2CnEur4DE3WOCM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\ndhN5htIzKkCv6pduSzuZCebDQpQEuUFESbFo4WKvt2HYHwZ8BIfu8+2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"text": [ "" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Caching the list of root modules, please wait!\n", "(This will only be done once - type '%rehashx' to reset cache!)\n", "\n" ] } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "x, y = np.linspace(-10,10,101), np.linspace(-10,10,101)\n", "z1, z2, z3, z4 = np.zeros([101,101]), np.zeros([101,101]), np.zeros([101,101]), np.zeros([101,101])\n", "\n", "a = 0\n", "for i in x:\n", " b = 0\n", " for j in y:\n", " z1[a][b] = ((np.sinc(10*i/20))**2)*((np.sinc(10*j/20))**2)\n", " z2[a][b] = ((np.sinc(10*i/50))**2)*((np.sinc(10*j/50))**2)\n", " z3[a][b] = ((np.sinc(10*i/100))**2)*((np.sinc(10*j/100))**2)\n", " z4[a][b] = ((np.sinc(10*i/200))**2)*((np.sinc(10*j/200))**2)\n", " b += 1\n", " a += 1\n", "a = 0" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 57 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.subplot(221)\n", "plt.imshow(z1)\n", "plt.xticks([])\n", "plt.title('z = 20')\n", "plt.subplot(222)\n", "plt.imshow(z2)\n", "plt.title('z = 50')\n", "plt.xticks([])\n", "plt.subplot(223)\n", "plt.imshow(z3)\n", "plt.title('z = 100')\n", "plt.subplot(224)\n", "plt.imshow(z4)\n", "plt.title('z = 200')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 58, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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xfzuAaAzGhmBsOdAXZ/5bJgRh4leZIO61f5S4l/5I8ntdK8gL/EwXiCpwqjG3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Sbu6IUMqIWJQVZh9BNuu6ugWx1Ts0M51XhkyLHWmGlBWq0qZ77KkEwAybr/ap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\nYII=\n", "text": [ "" ] } ], "prompt_number": 43 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.subplot(221)\n", "var = 1000\n", "plt.imshow(f(var))\n", "plt.xticks([])\n", "#plt.title('z = 200')\n", "\n", "plt.subplot(222)\n", "plt.imshow(f(2000))\n", "#plt.title('z = 500')\n", "plt.xticks([])\n", "\n", "plt.subplot(223)\n", "plt.imshow(f(5000))\n", "#plt.title('z = 1000')\n", "\n", "plt.subplot(224)\n", "plt.imshow(f(10000))\n", "#plt.title('z = 2000')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 55, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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+8Y4kfLRPzVWuNdKIi60bacTNl1CTeFIiLoRBzk5wRNyTrMio9IqOGDJQ2O71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"text": [ "" ] } ], "prompt_number": 55 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(f(10000))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 54, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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DNgSMvgCjU/sEDuy3WN6Ps+nBkRKOigg0llyL1OxrqdSrRDv2NQoO1rrZJBmL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\noSDw0hC14WPIBQoGBi+ny3NoZfPYyflkaVjGyuxgV1VAWKjsMRxTEBv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"text": [ "" ] } ], "prompt_number": 54 }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "x, y = np.linspace(-100,100,201), np.linspace(-100,100,201)\n", "z = np.zeros([201,201])\n", "\n", "xwin = 20\n", "ywin = 0.2\n", "dist = 1000\n", "\n", "a = 0\n", "for i in x:\n", " b = 0\n", " for j in y:\n", " z[a][b] = ((np.sinc(xwin*i/dist))**2)*((np.sinc(ywin*j/dist))**2)\n", " b += 1\n", " a += 1 " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(z)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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