{ "metadata": { "name": "", "signature": "sha256:398978d067a86012ab3cea05c3712320fde95c587d3ce6bf5d210af46bbec5cd" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import print_function\n", "from __future__ import division" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Basic graphing" ] }, { "cell_type": "code", "collapsed": false, "input": [ "linspace(0, 2*pi, 10)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "array([ 0. , 0.6981317 , 1.3962634 , 2.0943951 , 2.7925268 ,\n", " 3.4906585 , 4.1887902 , 4.88692191, 5.58505361, 6.28318531])" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * pi, 100)\n", "y = sin(x)\n", "plot(x,y);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * pi, 100)\n", "y = sin(x)\n", "plot(x,y);\n", "grid()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * pi, 100)\n", "y = sin(x)\n", "grid()\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "plot(x,y);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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XZlffeGPpzw1i/kRz1UgcCLwPrABmAjWKed5q4EtgETA/JclEkmzgQKt379rl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\n6D3sjXwp8CBW1skXKnQ7/34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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * pi, 100)\n", "y = sin(x)\n", "grid()\n", "xlabel('angle (rad)', fontsize=20)\n", "ylabel('sin()', fontsize=20)\n", "title('The Sine Function', fontsize=24)\n", "plot(x,y);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "linspace(0, 2*pi, 5)\n", "#['0', '$\\pi/2$', '$\\pi$', '$3\\pi/2$', '$2\\pi$']" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "array([ 0. , 1.57079633, 3.14159265, 4.71238898, 6.28318531])" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * pi, 100)\n", "y = sin(x)\n", "grid()\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "xticks(linspace(0, 2*pi, 5), ['0', '$\\pi/2$', '$\\pi$', '$3\\pi/2$', '$2\\pi$'])\n", "plot(x,y);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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AAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "plot(x,y)\n", "ax = gca() # gca stands for 'get current axis'\n", "ax.spines['right'].set_color('none')\n", "ax.spines['top'].set_color('none')\n", "ax.xaxis.set_ticks_position('bottom')\n", "ax.spines['bottom'].set_position(('data',0))\n", "ax.yaxis.set_ticks_position('left')\n", "ax.spines['left'].set_position(('data', 0))\n", "xticks(linspace(0, 2*np.pi, 5), ['', '$\\pi/2$', '$\\pi$', '$3\\pi/2$', '$2\\pi$']);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "t = 2 * np.pi / 3\n", "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "plot(x,y)\n", "grid()\n", "\n", "plot([t, t], [0, sin(t)], color='green', linewidth=2.5, linestyle=\"--\")\n", "scatter([t, ], [sin(t), ], 50, color='green')\n", "annotate(r'$sin(\\frac{2\\pi}{3})=\\frac{\\sqrt{3}}{2}$',\n", " xy=(t, np.sin(t)), xycoords='data',\n", " xytext=(+10, +25), textcoords='offset points', fontsize=16,\n", " arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"));\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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7nnq7PefkyVC3LrRrp08ee0ihF8KBGjeGrl1hzBi9kwhHOnMG3nlHeyM3I+nR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\nEMLN/T+ysLU+Z3yt6wAAAABJRU5ErkJggg==\n" } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "grid()\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "xlim( (0.5, 2) )\n", "ylim((0, 1.1))\n", "plot(x,y);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Rj0HkDIcPw0cf2W+aNWvg+uvtYtC7t64KJv7lxAn75Mrp0+35twYOtIvEVVepx1BpGues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\n/NKNN95I586diYuL46233nJ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} ], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(np.random.rand(20))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(np.random.rand(20), 'o-.')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 28, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(np.random.rand(20), 'kx:')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 33, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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fGo0Gs2bNwpIlS9CnTx9oNBqEhYUhPDzcqmKBltqwYQM6duzIaaE/p52nnpGR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\nN26YPWPo0qVLND+9GQ576nj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"text": [ "" ] } ], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(np.random.rand(20), 'o-', lw=8)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 34, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(np.random.rand(20), 'x-.', ms=30)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 35, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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RnQsvBObP11f/pEnAJZfoq99vcvWs8/KAE05wbpOF3TsLFgCLF+v2Qh2BEvVW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\nCeJ4p0QhVwXDuMWqfRQURCv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7nRYAUvhuIpJR92PxYtpYGIYeqTs6yMh/6UuBA4VThdOnyVCxwl1CdFfOnPHt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\nUZN6sDXuJHgZGRkAgJSUFOzdu5fG1cMgLS0NdrsdADAxMYHU1FSJI4p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} ], "prompt_number": 33 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib gallery: http://matplotlib.org/gallery.html\n", "\n", "If you are not using inline graphs, the graph GUI will allow some configuration options" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Logarithmic scale axes" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(1, 5, 50)\n", "data = x**2 + rand(x.size)\n", "plot(x, data);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 41 }, { "cell_type": "code", "collapsed": false, "input": [ "clf() # for interactive graphs, clears\n", "figure() # opens a new window" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 42, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 42 }, { "cell_type": "code", "collapsed": false, "input": [ "loglog(x, data);\n", "loglog(x,x);\n", "loglog(x,x**2);\n", "loglog(x,x**3, color='black');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 43 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Exporting" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "grid()\n", "plot(x,y)\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "xticks(linspace(0, 2*np.pi, 5), ['0', '$\\pi/2$', '$\\pi$', '$3\\pi/2$', '$2\\pi$'])\n", "savefig('output.pdf')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 44 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the notebook, the *savefig* instruction must be within the same cell. In other interactive modes, it saves the currently active figure.\n", "\n", "You can save different formats, including pdf, svg, png and eps.\n", "\n", "Full call signature:\n", "\n", " savefig(fname, dpi=None, facecolor='w', edgecolor='w',\n", " orientation='portrait', papertype=None, format=None,\n", " transparent=False, bbox_inches=None, pad_inches=0.1,\n", " frameon=None)" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Multiple plots in a figure" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can create multiple plots within a figure with the *subplot* command. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "grid()\n", "subplot(1,2,1)\n", "plot(x,y)\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "\n", "subplot(1,2,2)\n", "plot(x,cos(x))\n", "xlabel('angle (rad)')\n", "ylabel('cos()')\n", "title('The Cosine Function')\n", "suptitle('Trigonometric functions');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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pqUB5uUlOR8CvXylsj1xvTCRlZWXM09OTXb58mZWUlDC1Ws1Onz5d5Zi9e/ey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\nAABJRU5ErkJggg==\n" } ], "prompt_number": 45 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see you might often need to ajust proprotions a locations of plots...\n", "\n", "You can do it from the GUI if you are using the external matplotlib window from an interactive shell, but in the notebook you have to do it programatically." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "grid()\n", "subplot(1,2,1)\n", "plot(x,y)\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "\n", "subplot(1,2,2)\n", "plot(x,cos(x))\n", "xlabel('angle (rad)')\n", "ylabel('cos()')\n", "title('The Cosine Function')\n", "suptitle('Trigonometric functions')\n", "\n", "gcf().set_figwidth(14)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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3XCcRSR0BnDkCH9QpV/76y5Yxf/MNVK7sOo2IP2Xvgtytm+skqSEvdSooRSxh\nRWfsWHj7bTupWPxj2za75uidd+yAWBFJvIA2R/ESuOYI4J57YOVKeOEF10lE/OeLL2wjqcWLtdlX\nsqg5KqTt2+0F9sSJcNZZcb97SbAxY+D99+Gjj1wnEUkNao5iCmRz9M8/cMIJMHOmzSKJSN6EQtCo\nkS1Pveoq12lSh9evOfK8ceOgRg01Rn7VrRv89BPMmuU6iYhIMJUrZ9d5DhniOomIv3z+OfzxB3To\n4DqJ5BSUEb64j8ht3WqjYZMnQ+3acb1rSaKxY21p3ccfu04iEnyaOYopkDNHAJs32zVH06dDtWqu\n04h4XygE55wDN92k5ijZNHNUCGPH2oyRGiN/69rVtvXW7JGISGKULQu33abZI5G8+vRTW5Larp3r\nJBJNUEb44joit22bjYJ9+CHUrBm3uxVHxo2DN9+0X0YikjiaOYopsDNHAFu2WN38/HM7/0hEoguF\noG5dG1BQc5R8mjkqoKefhjp11BgFRZcusGyZXTAsIiLxV6YM9OkDQ4e6TiLibZ98Av/9B5dd5jqJ\n5CYoI3xxG5Hbvt1GvyZN0pK6IHn2WZgwAT77zHUSkeDSzFFMgZ45gt2zR9Om6dojkWhCITj7bNvE\n5PLLXadJTZo5KoBx4+CMM9QYBU2nTrB8ua49EhFJlDJl7EWfZo9EovvsM/j7b80aeV1QRvjiMiK3\nfbvtUPfee3D66XFIJZ7y1FN27tGHH7pOIhJMmjmKKfAzRwD//muzR199BVWruk4j4h2hEDRoAD17\nQseOrtOkLs0c5dOzz0KtWmqMgqprV/j+e5g713USEZFgOuAA6NUL7r/fdRIRb5k2DTZuhPbtXSeR\nfQnKCF+hR+R27rRZo4kTbTMGCabHHrNp7ffec51EJHg0cxRTSswcgW1RXLkyzJ5tdVVE4NxzbZC2\nUyfXSVKbZo7y4eWX4aST1BgF3TXXwLffwoIFrpOIiARTuXJw443wwAOuk4h4w5dfwurVcMUVrpNI\nXgRlhK9QI3IZGbazzrPPQsOGcUwlnvTQQ7Yxw8SJrpOIBItmjmJKmZkjgL/+gipVYP58OPZY12lE\n3GreHNq0ge7dXScRzRzl0RtvwJFHqjFKFdddBzNmwOLFrpOIiATTwQfD1VfDiBGuk4i4NXcu/Pij\nltP5SVBG+Ao8IpeVBaeeCqNGQbNmcU4lnjV0qB0M++KLrpOIBIdmjmJKqZkjgN9/h+rVbSDq8MNd\npxFxo3Vj7/I6AAAgAElEQVRraNTINioR9/JSp4JSxApcdN5+29ZFz5kDaUH5acg+/f23XTA8dy5U\nquQ6jUgwqDmKKeWaI7Brj0qXhgcfdJ1EJPkWLYLzzoNffoFSpVynEVBzlIdvgjPPhLvugksuSUAq\n8bQ777Qm6cknXScRCQY1RzGlZHO0erUdkbFsmS21E0klHTvCKadA//6uk0g2NUf78OmncOut8MMP\nUERXX6WcP/6wHQp//NGuORORwlFzFFNKNkcA3brBccfBoEGuk4gkz/LlULcurFhhOziKN6g52of0\ndNva+cor4x9I/KFXLyheXBcNi8SDmqOYUrY5+vlnOOccWLkSypRxnUYkOXr0sGvt7r3XdRKJpOYo\nhlmzbL/5ZcugWLEEpRLPW7MGatSwER4t+RApHDVHMaVscwTQrp2Novfu7TqJSOKtW2fL6ZYuhUMP\ndZ1GIqk5iuGii2zf+euvT1Ai8Y2rr7YlH3ff7TqJiL+pOYoppZujefOs7q5YASVKuE4jklh9+8LO\nnfDoo66TSE5qjnLxww/QtKntHrL//glMJb6wZImdcbVype2qJCIFo+YoppRujsCOy2jXzgakRIJq\n0ybbDXfBAh2A7EU6BDYXw4bBLbeoMRJz0knQoAE8+6zrJCIiwdW/v23pnZnpOolI4jzxhM2SqjHy\nr6CM8OV5RG7lStu++5df4IADEpxKfOPbb6FNG7v2qHhx12lE/EkzRzGl/MxRKARnn23XHbVt6zqN\nSPxt3WpnJ06bBtWquU4j0WjmKIqHHoLu3dUYyZ7OPBNOPBEmTHCdREQkmNLSoF8/O3g9xftECahn\nn7UBADVG/haUEb48jchln2vz009wxBFJSCW+8tlncPPNdqK1zr0SyT/NHMWU8jNHAFlZcOqp8Mgj\ncP75rtOIxM+uXXDCCfDGG3DWWa7TSG40c5TDY4/ZxaBqjCSaJk2gVCl4/33XSUREgqlIEdvJ68EH\nXScRia/XX7cldWqM/C8oI3z7HJHbssX+0c6aZZ29SDRvvgkPPwwzZ9oSEBHJO80cxaSZo7CdO203\nr3ffhdNPd51GpPBCITsz8cEHoUUL12kkFs0cRRg3Dho3VmMksbVubcsvZ850nUREJJiKF4dbb4Xh\nw10nEYmPjz6yAdXmzV0nkXgIyghfzBG57FGq996D2rWTmEp86amn4IMPYNIk10lE/EUzRzFp5ijC\n5s1w/PEwe7bVZxE/a9QIevSAjh1dJ5F90cxR2IQJULWqGiPJm86dbWvvH390nUREJJjKloVrr4WR\nI10nESmc2bPh11/h8stdJ5F4CcoIX64jcllZcNppdh2JdsaRvLrvPjvz6PnnXScR8Q/NHMWkmaMc\nsneQXbwYDj/cdRqRgrn0Urts46abXCeRvNDMEbYOdL/94LzzXCcRP7n+eluGuXat6yQiIsF02GE2\n2v74466TiBTM0qXw1VfQrZvrJBJPQRnhy3VErlEjuO466NAhyYnE93r3tgssH3rIdRIRf9DMUUya\nOYpi+XKoVw9WroQyZVynEcmfHj3gyCPhnntcJ5G8ykudCkoRi1p0Zs+G9u3tl2+xYg5Sia+tWQM1\na8KKFXDgga7TiHifmqOY1Bzlom1bqF8fevVynUQk737/HapXt9mjQw91nUbyKuWX1Y0YAbfdpsZI\nCuaYY6BlSxg71nUSEZHg6tvXrgvetct1EpG8e+wxG4BXYxQ8QRnh22tE7uef4ZxzYNUqKF3aTSjx\nv++/t3MLVq6EEiVcpxHxNs0cxaSZoxjS022J0hVXuE4ism9btkClSjBrls7P9JuUnjkaNcquNVJj\nJIVx2mn29uqrrpOIiARX3752KKz6R/GDZ56xhl6NUTAFZYRvjxG5P/6wc42WLrXdcEQK4/PP4cYb\n7dyjIoEdThApPM0cxaSZoxiyj90YNQqaNnWdRiR3u3ZZUzRxIpx5pus0kl8pO3P0+OPQrp0aI4mP\nxo2hVCn44APXSUREgqlIEejTR4fCive9+aYtqVNjFFxBGeH7/xG5//6DihVh5kw48US3oSQ4XnsN\nnngCvvzSdRIR79LMUUyaOdqHnTvtRecHH9hOoSJeEwpB7dowdChccIHrNFIQKTlz9PzztiWoGiOJ\np8sus629v/nGdRIRyWE/4ALgQeB14LXw+xcA2qvUR4oXh5tv1uyReNfnn8OOHdCiheskkkh5GeE7\nEKgHVARCwCpgFvBPwlLlXygUCpGRYU3RK6/A2We7jiRB8+ijNnM0caLrJCLe5GDmaCDQBqtJc4B1\n2KDfkUAdoC4wERiaxEy50cxRHvz9Nxx/PCxcaMcpiHhJ8+Z22Ua3bq6TSEEV9hDYBkBfrCmajxWd\nNKzo1MKapOHAV4VOWnihUCjEG2/YC9iZM13HkSDK3rpz9myoXNl1GhHvcdAcXQRMwgbuoikCtALe\nT1qi3Kk5yqPbbrM/H3rIbQ6RSDraIxgK2xyNAsYAy3L5+onAdUDvgoSLs1BWVoizzoI774RLLnEd\nR4JqwAAb2XziCddJRLxH1xzFpOYoj9asgRo14Jdf4MADXacRMZ06QfXq0K+f6yRSGIVtjvwkNH16\niGuugSVLtN2yJM769fbLcdkyKF/edRoRb3HQHD2HDeJ9m8vXz8IG8bomLVHu1Bzlw5VXwqmnwh13\nuE4iAmvX2lbzK1bAQQe5TiOFUdjmqAvwCpCRy9eLAx2B5wuQLd5CrVqFaNUKrr3WdRQJumuugWOP\nhbvvdp1ExFscNEenYsu/6wJLgfXhxz8CqAp8DYwEFiUxU27UHOXDwoXQsqUtYSpe3HUaSXV9+0JG\nBjz8sOskUliFbY5uBK4GlmCjcr+zu+icAZwEjAOeLETG5sAjQFHgGWyHoZxGAy2ArVjDNj/KbUKH\nHRZi1SrYf/9CpBHJg8WL7WRs/XsT2ZPDZXUlsGthj8OuP/oVWAhsj8N9x61OqTnKn6ZNoWNH6NzZ\ndRJJZf/8Y5uEzJsHxx3nOo0UVmG38n4cqA08gc0S1QfOwbZGzf5aYRqjouH7aQ5UBzoA1XLcpiVw\nAlAF6IEtn4jqhhv0QlWSo1o1qFMHXn7ZdRIRCdsBzMa28v4M2EZ8GqO41inJn+xDYdVTikvjxkGz\nZmqMUsm+zoAIYbvRJWJHujrAcmzXO7CzKS4GFkfc5iLgxfD732Dbih8ObMh5Z9dfn4CEIrno0wd6\n9LAldrrGTcS56cCFWE37DtgIzARuLeT9xrVOSf6cf779fv3kE9slTCTZdu60XZDfe891EkmmvLys\nOwwYgC2hez789lwcHvsoYE3Ex2vDn9vXbY6Odme6OF6SqWFDKFcOJk1ynURSUSgEn34KWVmuk3hG\nOeBfoDXwEtbUnBeH+41rnZL8SUvbPXsk4sIbb9j5mbVru04iyZSX08PfA2YAU4DsUhyPSe683kfO\ndYFRv2/w4MH//356ejrp6ekFCiWSF9lFe8QIuPhi12kk1cyYATfeaLtzujRt2jSmTZvmNoQpip3B\n1w64K/w51akAuPxyO6Jj3jy9QJXkCoWsxg8b5jqJFEZB6lReLpxdANQsSKB9qAsMxtZyA/THmq/I\ni12fAqZhSxnANodoxN7LFXShqyRdRgZUqQLjx0O9eq7TSCq58EI8uTunww0Z2gIDsaV0PYHK2CHl\nbQp5v6pTHjBypDVH48e7TiKpZMoU6N3bDn9NC8rBN1LoDRmyTQYuiEegHOZiF7BWxDZ8uJy9TzF/\nH+gUfr8u8Ddaxy0eUayY/eLUKe6STD/9BHPm2IGE8v/eBE7DGiOAFRS+MQLVKU/o3t2uO/r1V9dJ\nJJWMGAG33abGKBXl5a98C1AK2AnsCn8uBBwQh8dvwe4tUp8FHgCyx0LHhv/M3inoP+wgv3lR7kcj\ncuLEli1QqRLMmgUnnOA6jaQCL5+z5XDm6BhsO+364Y9nAL2w638KS3XKA/r2hcxMGDXKdRJJBQsW\nwAUX6JytICrsOUd+oqIjzgwYAH//DU884TqJBN3vv9tW8suWeXMTGofN0WfAq9jB5WAHlHcEzneQ\nJTeqU4WwZg3UqAG//AIHHug6jQTdVVfBKafAHXe4TiLxVtjmqBq2XWlul0BGGxlzRUVHnPn9d6he\nHX7+2ZsvWCU4vN6IO2yOFgI18vA5l1SnCqlTJzj5ZL1glcRSIx5shW2OxgHdsQtNo/1GP7egwRJA\nRUec6t4djj4aBg1ynUSCKnsJ5+zZULmy6zTROWyOpmLHTIwPP357bHlbEwdZcqM6VUgLF0LLlvai\ntUQJ12kkqPr0sWMStIQzmOK1rK4d8DF2hsTdQC1gKHbQnleo6IhTixdDejqsWgX77+86jQTR6NG2\nhffEia6T5M5hc3Qcdt1P3fDHXwM3AasdZMmN6lQcNGsGHTpAly6uk0gQ/fMPHH88zJ9v13ZK8MRr\nt7qBWGNUH2iMXZD6ZGHDiQRJtWpw1lnw4ouuk0gQZWTAww/bRekS1RBsx7hDw29dsS24JWD69rWt\nvdVnSiKMHQstWqgxSnV5aY4yw3+2wpbaTca2NBWRCH362DR8Zua+byuSHxMnwjHHWAMuUdUANkV8\n/Be5Xy8rPtakCey3H3z0keskEjQ7d8Kjj9r23ZLa8tIc/QY8jZ3v8AFQMo/fJ5JSGjSAgw6C93Oe\ngiJSCNmntPfp4zqJp6UBB0d8fDC29bYETFqa/V8YMcJ1Egma8eNtc6VatVwnEdfy0uS0Az4BmmKH\n2x0EaHGHSA5pabbkY/hwLfmQ+PniC9i6FVq1cp3E0x4CZgH3YtfEzgL08jmg2rWzTRnmznWdRIIi\nFLLlmlq6LKBzjkTiKjMTqlaFF16A+vX3eXORfWrZElq3tsNfvc7hhgwAJ2PXxYaw3et+cpQjN6pT\ncfTww7Zz4+uvu04iQfDhh3DnnbYRQ1pQXhlLVDoEVsSBMWPg44/hvfdcJxG/W7QIzj/fTmkvWdJ1\nmn1z3Bx5nepUHG3ebFvbz5lju4uJFMa558LVV8OVV7pOIomm5kjEgW3boGJFmD4dTjrJdRrxsy5d\n4MQTbUTTD9QcxaQ6FWf9+1uT9PjjrpOIn82da7PzK1bYZh8SbGqORBwZMgRWr4ZnnnGdRPxq7Vo4\n7TQr2Acd5DpN3qg5ikl1Ks7Wr7cL6Jctg/LlXacRv7r8ctsJtHdv10kkGdQciTjy55824v/jj3Dk\nka7TiB/58ZR2NUcxqU4lwDXX2Jk0d9/tOon40S+/QJ06tnS5bFnXaSQZ1ByJOHTjjfbL9oEHXCcR\nv/n7b7uOYsECfx1GqOYoJtWpBFiyBBo1she3pUq5TiN+c8MNUK4c3H+/6ySSLGqORBxauRLOPNNG\npg44wHUa8ZNhw+Cnn+Cll1wnyR81RzGpTiXIJZdA06Zw/fWuk4ifbNxoKzwWL4YjjnCdRpJFzZGI\nYx06wBln6MRtybvt223W6JNP4NRTXafJHzVHMalOJcjXX8NVV8HSpVCsmOs04heDBtl1a08/7TqJ\nJFNe6lReDoEVkQK6/XY7j2PnTtdJxC9eeQVq1vRfYyTiytlnQ4UK8PbbrpOIX/z3nx270aeP6yTi\nRWqORBKoVi3bTWn8eNdJxA8yM3VKu0hB3H47DB8OmpyTvHjuOWjQwJbVieSk5kgkwbKLdlaW6yTi\nde+9ZxcHp6e7TiLiLxdcAFu3wtSprpOI12VkwEMPWW0WiUbNkUiCNWkC++8PH3zgOol4WSgEDz4I\nd9wBabpqRyRfihSxGdcHH3SdRLzu9dfhuOPsbCORaNQciSRYWpqNUA0b5jqJeNn06baF98UXu04i\n4k8dO9rOY9995zqJeFX2IFS/fq6TiJepORJJgjZtYMMG+Oor10nEq4YNs5HvokVdJxHxp+LFoXdv\nW8YsEs1HH9mAZfPmrpOIlwVl8Ya2SBXPGzsWJk2CyZNdJxGvWbDArpn45RcoUcJ1moLTVt4xqU4l\nwZYtUKmSbe9dpYrrNOI1DRtCz552zIakJm3lLeIhnTvDvHnw/feuk4jXDB8Ot9zi78ZIxAvKlLHD\nYEeOdJ1EvObrr2HtWmjb1nUS8bqgjPBpRE58YfhwWLgQXn3VdRLxihUr7MLgX36BAw5wnaZwNHMU\nk+pUkvz5p23R/OOPcOSRrtOIV1x8MTRrZs2zpK681KmgFDEVHfGFf/+F44+HOXPsT5HrroPy5WHo\nUNdJCk/NUUyqU0l08822S6h2rxOAn36Cxo1h5Ur7dyGpS82RiAfdeSf88w888YTrJOLa+vVw8smw\ndCkceqjrNIWn5igm1akk+vVXqF0bli+Hgw5ynUZc69QJTjrJ6q+kNjVHIh60YQNUq2YjWUcc4TqN\nuNS3L+zYAaNHu04SH2qOYlKdSrKuXaFyZbjrLtdJxKWVK+HMM20Jc7lyrtOIa2qORDzqxhvtwmGd\nfZS6Nm2yF24LFsCxx7pOEx9qjmJSnUqyJUtsd7KVK6F0addpxJXrr7fZw/vuc51EvEDNkYhHacmH\n3HuvbcLw/POuk8SPmqOYVKccuOwyqF/fdoOU1JO9dHnJEjjsMNdpxAvUHIl4WNeutinDwIGuk0iy\n/fef/d1Pn27r4INCzVFMqlMOfPed7VK2YoW2yk9Ft99uS5cffdR1EvEKNUciHrZ0KTRoYLMHZcq4\nTiPJ9PDDMHMmTJzoOkl8qTmKSXXKkebNbQbpmmtcJ5Fk2rQJTjjBli4fc4zrNOIVao5EPK5dO6hb\nF3r3dp1EkmX7drvWaPJkqFXLdZr4UnMUk+qUIzNmwNVXw+LFUKyY6zSSLEOGwKpV8NxzrpOIl6g5\nEvG4+fOhVStb8lGypOs0kgxjxsAHH1hzFDRqjmJSnXIkFLKNGXr2hCuucJ1GkmHzZlu6PHOmHQgs\nki0vdapIcqKISDS1akHNmsG6KF9yt2uXHUo5YIDrJCKpIy3NtvO+7z7IynKdRpLhySfh/PPVGEnB\nqDkSceyuu2xL7507XSeRRHv1VVsDX6+e6yQiqaVpU9vO++23XSeRRPvvP7uuU4NQUlBqjkQcq1fP\nRrdeftl1EkmkzEy4/34VbBEX0tJsZ9ChQ22ZnQTXuHFwzjm2hbdIQag5EvGAgQPhgQcgI8N1EkmU\nN9+E8uUhPd11EpHU1KqV/RnE6/3EbN8OI0bYigyRglJzJOIBDRvC0UfDhAmuk0giZGbaoa93320j\n2CKSfNnXHt17r2aPguq55+xa3qDtBCrJpeZIxCOyl3xkZrpOIvE2cSKULQvNmrlOIpLaWre2a1I+\n+cR1Eom3nTttwxvNGklhqTkS8YjGjeGQQ2z5lQRHVpaNVA8apFkjEdeKFLEZ3Hvu0exR0Dz/PFSr\nZmcHihSGmiMRj0hLsxfQQ4Zo9ihI3noLSpWC5s1dJxERgMsug3//hU8/dZ1E4mXnTtvwZtAg10kk\nCNQciXhI06Zw4IHwxhuuk0g8ZGVZs6tZIxHvKFrUZo8GD9bsUVBkzxrpmASJBzVHIh6SlmbLPTR7\nFAzvvAMlS0LLlq6TiEgkzR4Fh2aNJN7UHIl4zHnn2bVHr73mOokURlaWjUxrhzoR79HsUXBo1kji\nTc2RiMdEzh7p3CP/evNNu9Yo+2wVEfGW7Nkj7VznXzt2aNZI4k/NkYgHNW4Mhx+uc4/8KjPTRqSH\nDNGskYhXFS1q/08HDtTskV898wyccopmjSS+1ByJeFD27NE998CuXa7TSH6NH29LI5s2dZ1ERGJp\n08Z+x77/vuskkl9bt9qs0ZAhrpNI0Lhqjg4GpgA/A58CB+Zyu1XA98B8YE5Skol4xLnnwnHHwQsv\nuE4i+ZGRYU3tvfdq1sjnVKdSQJEi9n914EC7TlD8Y8wYO9Po9NNdJ5GgcdUc9cOKzonA5+GPowkB\n6UAtoE5Skol4yH33WeHevt11Esmrl16CY4+15lZ8TXUqRbRqBfvvrwO4/WTzZhg+3AaiROLNVXN0\nEfBi+P0XgUti3FZjr5Ky6taFmjVh7FjXSSQvduywJR733us6icSB6lSKSEuDoUPton5tguMPo0fb\nzq6nnOI6iQSRq1/om4CDIjL8FfFxpF+Af4BMYCwwLpf7C4V0NaUE1MKF0Lw5LF8OpUu7TiOxjB5t\n56ZMnuw6iRtpto4wKI2C6lQKCYUgPR26doUuXVynkVg2bYITT4SZM+1PkfzIS50qlsDHnwIcEeXz\nA3J8HAq/RXMOsB44NHx/S4Avo91w8ODB//9+eno66enp+Qor4lU1akCjRvbCu39/12kkN5s328XB\nqXSo5LRp05g2bZrrGIWhOiWAzR7ddx9ceSV06AAlSrhOJLkZPhwuukiNkeRNQeqUqxG+Jdga7d+B\nI4EvgJP28T2DgC3AQ1G+phE5CbSlS6F+ffj5Zzgo2ti1OHfvvbBkCbz6qusk7gRs5kh1KgW1amXL\ntW65xXUSiWbdOjj1VFiwAI45xnUa8aO81ClX1xy9D3QOv98ZeDfKbUoBZcPvlwaaAj8kPpqI91St\nCpdeCg884DqJRPPnn/Doo9pSNmBUp1L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"text": [ "" ] } ], "prompt_number": 46 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, this is done to the \"current\" figure, which is returned with *gcf()* (Get Current Figure).\n", "\n", "Full (very full... ) documentation here: http://matplotlib.org/api/figure_api.html\n", "\n", "You can adjust subplots with:\n", "\n", " subplots_adjust(left=None, bottom=None, right=None, top=None,\n", " wspace=None, hspace=None)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "grid()\n", "subplot(1,2,1)\n", "plot(x,y)\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "\n", "subplot(1,2,2)\n", "plot(x,cos(x))\n", "xlabel('angle (rad)')\n", "ylabel('cos()')\n", "title('The Cosine Function')\n", "suptitle('Trigonometric functions')\n", "subplots_adjust(wspace=2)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Ls2dDpzBX2xMqXz/tmcDLGa/vJPeA4Foso+pR+qPI+/+JFERlPZyP\n2Jf32UCue8eVA+uwwcCu5B8MFJFwU1kXX30J64P9CNgOvOS8XwFkXk97KbAKi7Z3+plAEXGFyrqI\niIhINsVewPUwsANYVsC2VVgT/31gOfCX7WzfHZiLNfU/AH5QwDHArhFYRGEDpPXAUmf7eQVs3x/4\nb2CFk6Yz82w70dlv+rGf9n9nEb+orOensu6BYi7gSjsXmE5hGW84MM153htryre3/57Oz3JgDnBO\nAce5Dfgl8FwB224AillA/DHgTzPS1K/A73UCtmGFTyRoKuvtC21Zj/KEu45cwPUmsK/A/W/HMjPA\nIayGUNHOd444P7tiBWNvO9tXAp8DfgbkuYSrhUK364cVtIed18exGkshLsIGYhva21DEByrr+YW6\nrEc5yPh5AVc1Viua2852nbDMugNrfn/QzvY/AW4Hcqzp2kYKeA2YD9zUzrZjgF3AI8BC4D9prn21\n51rgVwVuK+I1lfX8Ql3WoxxkUj4dpzfW1/lXWC0nnyas2V0JnAfU5tn2MmAn1idaaI3lbKwAXAr8\nBVZ7yaUcuy7hX52fh4FvF3CMrsAXgKcLTJOI11TWI1zWoxxkttCyH7EKq+G4qQvwa+AXwDNFfG8/\nNj1zRp5tzgIux/penwAuAB5vZ7/bnJ+7gP/FuhFy2ew83nNe/zf5V8FNuxRY4BxDJAxU1lXWA9HR\nC7iqKWwwsAzLCD8pMD2DsRkeAD2AN4ALC/zu+bQ/46Qn0Md53gt4G7i4ne+8ga2ACzALuL+AtDwJ\nfKWA7UT8orKush6YYi/gegLYChzF+nhvzLPtOViTeDHNU/0+m2f7k7D+0MXY1MPbC0hP2vm0P+Nk\njLPvxdg0y0J+36lY7WYJ8D+0P+OkF7Cb5gwuEhYq6/mprIuIiIiIiIiIiIiIiIiIiIiIiIiIiIiI\nm6op7MKvTN2A1yl8qYlsbgB+6jz/S+BPStiXiLSvGpX1gkV5WZk4uB54nrZrM5V3cH+PALeWlCIR\n8UJiy7qCjK0LNB+7sjZztdNDwH3YVbfvAkOd92uw+0csdT4/mGWfnYEfYTcbWgL8eY5jXwc86zyv\nxZYnf9ZJC9gaStnSdiN29fNcbF2ktIPAHmBKjuOJJJnKugRigPOzB9YETr9uAj7vPL8f+I7z/Hng\nGuf5zTRnvGqam9B/nrF9N2y5h+pWx+1M8yJ4YBnvEDC6nbSNADYCg7BF/d4CHsj4zneBW7L9oiIJ\np7IeALVkbFnvdA2mChjvvP8Jtroq2Eql1c7zM2leGvuJHPu8GPgytgbSHOwOd+NabTOYtjWjeVim\nypa2SmwBvDOAOqwWcwx4ipb9vFtpm8lFRGU9EB3tD4yLWmz11DOBj7GbD3V3PjuWsV0Txf+tvgG8\n2s42rQcBDxeQttZ9uq33UZZlG5Gkq0VlPRBJb8n0xW7R+jEwCfsnt2cOcJXz/Noc27wCfJ3mzDqB\ntneq243dJKmYtKWwvtnzsRpTF2Bmq++NwG5TKyLNVNYDkvQg8zKWOT4AfoA1VdNSrZ6nX/81cBvW\ntK2h5b2009v8zNnnQqx/9d9oWztqxAb5JmY5Rr60bcfuF/Eu1kf7fqvvnY4NKopIM5V1iYweGc+v\nxWasdNQNwB0lpaalvjTfHU9ESqOyLoE4B6vZLMEG5caWsK+u2B3tSrlAK9NfAv/HpX2JJJ3KuoiI\niIiIiIiIiIiIiIiIiIiIiIiIiEi0/H/94hhPPKESqgAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 47 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's another way:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "y = sin(x)\n", "grid()\n", "subplot(1,2,1)\n", "plot(x,y)\n", "xlabel('angle (rad)')\n", "ylabel('sin()')\n", "title('The Sine Function')\n", "\n", "subplot(1,2,2)\n", "plot(x,cos(x))\n", "xlabel('angle (rad)')\n", "ylabel('cos()')\n", "title('The Cosine Function')\n", "suptitle('Trigonometric functions')\n", "\n", "w, h = figaspect(0.3)\n", "gcf().set_figwidth(w)\n", "gcf().set_figheight(h)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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fvSA8B8m5smXh/ffhk0/g2WdtxmTTJtdR+f/vUfG75/fn4Nf4v/kGLr4YihevzaJF8Mgj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\nAPPJ3mZdL1oDLMSew3duQ8mV4sAIYCn2d1TTbTg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"text": [ "" ] } ], "prompt_number": 48 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Multiple curves in a plot" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "plot(x,sin(x))\n", "plot(x,cos(x));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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BeuPEW3Ucs+smD+pnfxjVnuto/35Lokb0R4BVOF7XTTLg\nNv/8shVCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCOf3/1UOZ5mmfqokAAAAAElFTkSu\nQmCC\n", "text": [ "" ] } ], "prompt_number": 49 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For publishing, you might want to have black lines with different strokes:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "plot(x,sin(x), 'k')\n", "plot(x,cos(x), 'k-.')\n", "plot(x,sin(2*x), 'k,')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 50, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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dw+Zy2jJ3cnJi+PDhBAYGWimRNgwYMIBt27apjqELX3zxBT169KBkyZKqo1iU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\n", "text": [ "" ] } ], "prompt_number": 50 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Markers: http://matplotlib.org/api/markers_api.html" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "plot(x,sin(x), 'k')\n", "plot(x,cos(x), 'k-.')\n", "plot(x,sin(2*x), 'k,')\n", "names = ['sin($\\omega$)', 'cos($\\omega$)', 'sin($2\\omega$)']\n", "legend(names);\n", "xlim((0, 2*np.pi))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 52, "text": [ "(0, 6.283185307179586)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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0cP/+fSpWrEhQUBDly5dXHccunTp1ijZt2hAWFkb+/PlVx7EqVne2jKZpNG3a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\nAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 52 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 2 * np.pi, 100)\n", "plot(x,sin(x), 'ko')\n", "plot(x,cos(x), 'k^')\n", "plot(x,sin(2*x), 'kx')\n", "names = ['sin($\\omega$)', 'cos($\\omega$)', 'sin($2\\omega$)']\n", "legend(names)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 53, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 53 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Other plot types" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Histograms" ] }, { "cell_type": "code", "collapsed": false, "input": [ "samples = poisson(lam= 3.5, size= 500)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 54 }, { "cell_type": "code", "collapsed": false, "input": [ "hist(samples)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 55, "text": [ "(array([ 67., 96., 112., 86., 75., 52., 6., 5., 0., 1.]),\n", " array([ 0. , 1.2, 2.4, 3.6, 4.8, 6. , 7.2, 8.4, 9.6,\n", " 10.8, 12. ]),\n", " )" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 59 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Bargraphs" ] }, { "cell_type": "code", "collapsed": false, "input": [ "bar(arange(12), random.random(12), 0.55);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 61 }, { "cell_type": "code", "collapsed": false, "input": [ "ind = arange(12)\n", "width = 1\n", "bar(ind, random.random(12), width)\n", "xticks(ind+width/2., ind );" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 63 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Graphing 2D matrices" ] }, { "cell_type": "code", "collapsed": false, "input": [ "mat = rand(10,10)\n", "imshow(mat);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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mXKN4dGWWgLNZ6oaUpTTM5JQFPvKcLnUm2UB1BeLZtlgT0W1gvdTmw/pgDa//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C1AVOKFgN7mouzirwLiADd1B7YWcBiBrM7UDKCoR2wL6WzvM9AiE00BXJ8Qcj0mDMBztnA/WoCN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\njuKJ+YUKlrfJIuvvsEMlGBYtwdx7snUBO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0GTtC3Ju3QQDcGawYsJG7pu4W18tJBegsT93vkXtZ3T9j7W1ZV+fSHSCP2L+a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\nDexMGpC/Z+3mmJHHC1jBsgFut++tgxQ/vKADGPV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"text": [ "" ] } ], "prompt_number": 65 }, { "cell_type": "code", "collapsed": false, "input": [ "imshow(mat)\n", "colorbar();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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pUGJGgp+zdiid9R53AaW79vXzQulTHH17ivnWA22jddD01DljX+/bfv8j57JO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\nMfrBOFZAsjY1ROkSGb7aBUyRVzqKLe13sWWHIcOwp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3gCpLuy15ToPSqE0pmzkZoPTenJ9sMLo89zKHqgM5O0F23ssOelQ3ZUkOlDLQ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\nw2keM4AejXdS1aECT2vVku8D1MvnLJw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"text": [ "" ] } ], "prompt_number": 69 }, { "cell_type": "code", "collapsed": false, "input": [ "subplot(1,4,1)\n", "imshow(mat, interpolation='nearest')\n", "grid(True)\n", "\n", "subplot(1,4,2)\n", "imshow(mat, interpolation='bilinear')\n", "\n", "subplot(1,4,3)\n", "imshow(mat, interpolation='bicubic')\n", "\n", "subplot(1,4,4)\n", "imshow(mat, interpolation='gaussian')\n", "\n", "gcf().set_figwidth(14)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JzJcBbGUdK5tojCK3ySQeAYnJ7JSA5LIfkQYWRtI2nV606YSOfAoTORps9xkWr4l1rhzn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JhsLUZUHmOXrq0KTuiUtwpGvPJV9M3iEdJP77+zYw0NlCwh20rTZbqWB6U9ufrsXRXfAXbPph05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"text": [ "" ] } ], "prompt_number": 70 }, { "cell_type": "code", "collapsed": false, "input": [ "imshow(mat, interpolation='nearest')\n", "plot(mat[5] + 4.5, 'white', linewidth=5)\n", "colorbar();\n", "xlim((-0.5, 9.5))\n", "ylim((9.5, -0.5))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 73, "text": [ "(9.5, -0.5)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 73 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Scatter Plots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N=100\n", "x = np.random.randn(N)\n", "y = np.random.randn(N)\n", "\n", "scatter(x,y)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 74, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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dFi1axB13lMFoXJu1hsJiWUfFiqU9kuf5519iwIBxTJ9ejffe20mjRq1IT0+/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\nWrTAarXyyy/rmDZtGufOJdCixTc0bdq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"text": [ "" ] } ], "prompt_number": 74 }, { "cell_type": "code", "collapsed": false, "input": [ "N=100\n", "x = np.random.randn(N)\n", "y = np.random.randn(N)\n", "\n", "scatter(x,y,color='blue',s=5,edgecolor='none')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 75, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 75 }, { "cell_type": "code", "collapsed": false, "input": [ "N=100\n", "x = np.random.randn(N)\n", "y = np.random.randn(N)\n", "\n", "scatter(x,y,color='blue',s=40,edgecolor='none', marker=7)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 77, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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ccUVy368ke/bYMq2Bco74U15eHnl5eb8eD7PF65O+FopKKJJ0n38OJ59sJZKX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\nf5A2oP3NBWy+AAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 77 }, { "cell_type": "code", "collapsed": false, "input": [ "dict(alpha=0.5, edgecolors='none' )" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 78, "text": [ "{'alpha': 0.5, 'edgecolors': 'none'}" ] } ], "prompt_number": 78 }, { "cell_type": "code", "collapsed": false, "input": [ "d = {'alpha': 0.5, 'edgecolors': 'none'}\n", "print(d)\n", "d['alpha'] = 'hello'\n", "print(d)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "{'alpha': 0.5, 'edgecolors': 'none'}\n", "{'alpha': 'hello', 'edgecolors': 'none'}\n" ] } ], "prompt_number": 81 }, { "cell_type": "code", "collapsed": false, "input": [ "props = dict(alpha=0.5, edgecolors='none', c='blue' )\n", "scatter(x, y, s=20, **props)\n", "props = dict(alpha=0.8, c='red' )\n", "scatter(y,x, s=20, **props)\n", "\n", "# scatter(x, y, c='red', s=20, alpha=0.5, edgecolors='none')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 82, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Fl99/P1vxTkwUHZT8/AruZxITFUVlZ+fbnXyq2u3ExMQUbFBJnpCbmI8IigID\nBohb+HLlxOq7ZEnHjL1nzx7mv/02kw0G5pnNnJ03j/mzZ99+PWs4NLc76/BwEcdOs1cFWLNmDfbg\nYH7x8mK+hwf9o6KY8sEH9zRXk8nEx6NG8Y2i8L27Oyvc3fnpyy+5fPkybm5uNG/ejPfea8qIEcWI\nd01Bp9rw1WpJ0Ci46rV4Wy/wwgtRmb78ssbCk5IOM+uNN5icYGCZqhJ4ayHmU90ZdmMHr1kT+CY8\nFF+djmHA9rVrM53r75/ZArZFi7zb5Lq7u7NwzRr8x43j6sCBjJw3j5defvmO42Ji4Lvv4KefxO9T\np/L44eVAtbp1+ez8eS6fP8+uf//lJ4OBOrmZzUgchlyBP0KUKJEet3Uke7Zto7/dTo3UzcHRrq58\nvmkTI954AxBue9euibCGry+0a3fnGMePH2fq/77j+pUkytTsS4tWnRk8WIh9WEgIDVUVbepKsomr\nK79mrHfPgagosdIsXTo9lzwmJgZXi4XHU4teiut0VNFqCQsLo2KG24LGjWtTvHEj3li3jqftdv5S\nFPqWLMkvWvD0zLwJ2q6duMOJiBB3Fnt376GnxUJtd2+iIsHDlsi7dgtN3dwoabWht9v5LSYGPycn\nnLMJBXXqJLrbKEr+bVq9vLwYPnJkrsccPiw+FxBpm7t3Q0HSx60WC2d1OgabzThrNLjo9URkbJck\nKTQcIeAdgZmAFlgAfJn74ZL/Gu4+PtzIsM8RZrHgnmF31MsLXntNiIab250beGfOnOGt55+nf4QV\nd0XDt6F7CbZZaNy4G7VrQ5WaNVmp0dDDZsNNo2FdYiJV7+IhcuCAKItXVZFtk/ZlULx4cWyenuxN\nSKCphwchJhNn7PZM4g2g0WiYv2IFvbt0Yc2RIzTWatnj5ESfkSPxTK2kTD8WMk7n5AlvLisKej04\nOUNKkh03rRZnd39uGS5jsdnYl5iIsVgxvk/NA89KXjeXd+3axemTJ/EPCKBr1655yv7IWhhV0ISR\n0IsX+aFiRUrqdGiAhdHRXLpwIe+eupJ7pqACrgVmA+2AMOAQsB44W8BxJQ8RfQcMYPAvv2C8eRMf\nYKObG1++916mY3LzC9+0Zg39U1Lo6FocVQUPcyKfHp2PTic2wZ55pjOb1x6h1caleOgVguo9wRcf\nfMDihT9w5ex5qtSpyfP9+mUyINq+Pb0zzc2bIkxQtSpcv67n7S8WMHHcy7jFxxOnKIybOpXS2dTs\n6/V6Vm1uVlgsAAAgAElEQVTaxPr167lx/TrtatakTZs2d/08uvfoweAlS5h44RqeVjsXXL2YrSgY\nbSlsd3LikKpSs3lz5s+eTfkCNPGc/+23bJkxgw5WK9u1WnasX8/MhQvvasTUpIno/HPjhvhCLajO\nlnvsMXb+8w99fXww2e3s1+l47n40J5UUWMAbAheBK6nPfwaeQwr4I4Wrqyu+AQHMPX4cs8mEf/Hi\n3LxxQ/QiywOKoqAqCt4+InPDhoqHh8Ljj4vX9+xRKF7mQ9oOHIXVmkK3biWYMGoomr920URV2Kz/\nlRMHDvH51zNvb9hlXeUnJsKcOXDrVjjh4ZH0GjmTdu3K4u/vn2NGC4BOp6NHjx75+jy8vLxYvH49\nGzf+zp49STyjNCH81k6mbB3HCLudF/39+fHsWbZv3syQESPyNXYaKSkpLJkxg3UeHhTT6bCpKgP+\n/pvDhw/TsGHDXM91cYFhw4RvjavrvVsVpDH+yy8Z9cIL/B4dTYzNRp2uXXnmmWcKNqgkTxRUwEsj\n+mCmEQrkowuf5L/AjMmTubF9O6/Z7YxxduZgXBzjXn6ZDR064OnqSvuePXk6l+4Cz/buzavLl+Oe\nHIO7i5a5TipvTBpxW4SvXRO/XV19ATh06F+u7NrLUmdftIpCW9XOoLWbuDXhvdt9DDt3hrVrRWl9\nxYoiC+bixWPs++1FnrSZWb/Zzql9zZl+D22zrl69yvY//0Sr09GxY0f8M5qFp+Lp6Um/fs/Tr5+Y\nw48/HqDBYT/GpOYDPm4y8dqCBQUScJ2q4pu62tYqCv5aLYmJebMtUBTRGq+gnDlzhu1bttCud28e\nr1GDihUrUrFixUJNW5SkU1ABlwneEs4cPEiK2cxrWi2eioKPzYY1JoYnt20jyMeH73bsIHnKFLpl\nWcmqKhw7BjExVRj/zSp2bpyPKSmJt/r0oU3btrePCwyEixfTz/PzM+OK5vamphMKejSY03IVEU2B\nK1US9ra+vrBvHxze+g7/s5pp6uyJolOZuGsXf/zxB127ds00L7vdTnR0NO7u7nfYuZ47d47Xevak\nU2IiKTboO3UWizeuIyiobI6fj1abfpdx+71D/tr2ZMHb25tSlevwxfGjPO/hyb8kcdrVg4ona7Fn\nj8iM6dNHrLYLi0OHDjHhxRfpnZJCIjDVz48fNmyQ4n0fKaiAhwEZ/+WWRazCMzExQ3eL1q1b07p1\n6wJeVvIgEVChAtf37uWS3Y6vVssGm43eQC8vL3y9vCielMT077+/Q8D//BP+/ls81miqM3TsDLJJ\n7aZVK/E7LEy0HGvUqCrzvyzNnGtXaKpxYbcuhZJNa1ImSwd1NzfxA8I6wGa6SXW9KxoN+Pko1Iy3\nExkZmemc8PBwxg4aROTFi6QAg99+O1Pv0AXTpjEiOZkO+mIkmEAfGsN7b3zP8jWf5lr2n9YVqVRM\nDGV0OuZbrbR98UVMJlOudrE5ERamUL7OfLZGvssvNw4TUO5xnh3wFdHRYoV/+TLs2HFvbdXyyg9T\np/KO3U6H1ERy5+hoflm2jDez7H9I8kZwcDDBwcH5OqegAv4PUBkoD9wAngf6ZT1o4kPSnkhyb4z9\n6COe37ePIRcu0MZmY5dWS0+d7rYHigKoGW0GUzmbYafEbofz58lWwLVa0dknjevXnWna5WeCt33M\n79HnKFn+CVYs/1+um3dOTtCiQwO2Bu9klJ8vkVYr27RaPsiSP/fxm2/y1LlzDPX1JcZmY+iUKTxe\nqxZNmjQBICEujlI6PQnx4vgARcvWsFiuXMm9OCkgIIB5a9eyaPZstv37L2dPnCB+/nw2LVvGx3Pn\n0qxZs5xPzoaLF8HFxY/WXUUIyNNT5ItHR6cfk5CQryEBkSN+7ZpIOc24r2s0Gpn1+edcOn6cslWr\n8sb775OckECJDAH04orChXt1+pLcsbidNGnSXc8pqIBbgdeBLYiMlIXIDcxHjrJly7J53z5+//13\nLl26xPBixVg5axZV4uLw02r51mZjQIZVbBp+fkIw0vD1FUJhNBopVaoUuhx212JiwN29BG27fXP7\nb3lxLfxw6lTefeUVWh05Ajodr3744R0bfqePHmWyl5ewc9XpaGOzcfbs2dsC3qJLF+YeOswoqwkz\nKouwE1C5011Nt2Jjwdm5PGM/+JBeLZqx1MOD2m5uHE9K4q1XXuGzH37g1q1b1K9fP9uMmKxkLa0v\nXlz4ply+LEJTGk3ujZtBHBcVJdIIfXxEVsrixWK/QFGge3eoVUuElMa+/DKPHTnCWBcX9pw7x8iT\nJ+nYuzczv/qKCRoNCTYbS7VaJmSxBpAULo7IA/8j9UfyCOPl5UXfNHMQoEWLFvw4Zw6mhASG9up1\nh+cHiJL3tWuFIFerBiePLODNvl/ipShoS5Vi5tKllC9fnshIEQ6wWoW3SVCQiO2mWWU/9ljeMimK\nFSvGglWrSExMxNnZOdsviMCyZTlwKYSmOi/MdpUjipY+GWwb+w4YQILRyLvfLsEYr6Vis3H06Nkl\nV2fC/fuFP4vRCHFxoXjFW6lVXGS+1HZz4+aFC7zQrBllNRquKwrvf/cdg7OpoExDVVXc3C5TpkwC\n8fGVKVnSja5dRb69l5dImyxTJvtuRqdPn04tWqrEkSOVOHNG/L1dO5EBlLaNoKpw8KAQ8LCwMMJP\nnGC+ry8aRaG2mxv7rl+nXsOGKOPG8f7y5eidnHht7Njb3YUk9wdpZiW5L5hMJnbv3k1SUtJtj+sZ\nkyYRdukSVevV46kuXZjy8sv84O5OCb2eVXFxrK1alcXrNjFrFsSnhiycnOD114Vp1bFjwvskMFAI\nepYQ+D1x4sRpBj3TnyopKdyyW0kIeJxho7tTt27NO1br8fHCiTA3d0W7XTSCMBjgyBEwmaKJO92U\nn9wVyrvb2ZSUxIdhYWx2duYxrZaDFgsv6HQci4jAI/W2wmazERcXh4+PD4qiMGncOA6vX08xjYZo\nHx++WbGCChUq3PW9zZ01i42zZ1NDo+GQWcW/wWdUrd4LECvuhg1FARRAUpIdVb1Jjx4KQUEwsGVL\nNnp54azRYFNV+hiNfLJuHdWrV7+3D1pyV6QboeSBICUlhRH9+uF86hT+isJunQ6diwv9DAaauLiw\nLjmZHSVL0joykvG+IlXQbLfTIi6OP/65xNdfZ/5n+uKLIsNEVWHFChE7B5F2niWhJN9ERcGUKTFE\nRJzmzKFvKXXjH1p42NnjpKH7e+/xVIeh7Nghjn3qqexj9hlJE/CQEBHeAEiIewvjyW+orYVdNhsN\nVJV1zq6QGvpoYDGz5NgxatSoIaxaX3kFEhPRennRZdAgDs+cyffe3jhrNKyKi2Nz7dosWL0613mE\nhIQwskMHfvHwwFur5WKCmW5RZp4dfhgnJ3E3MHas6GR09GgiW1cNwyPpECgqlZu3oUxZPUl//EEH\njYa/7XaMTZowe+nSB6J7+38V6UYoeSBYs2YNxY8fZ4qvL4qiMDsigj+uXePlatUAqOriwrqQULZa\n9fQ12Qnw0XDQkkjpsmXx8lLw9RUxZBAr7bS069DQdPEG4fHRsmXOZeh2uyivv3BBxIyfe+7O2Lm7\nO3h7+2EweOJ28zBfu3hTupjCINXKs59/wdUb/bHbhRfKjRvwxhvpmS7ZodFAhw6wdKl47umZQNSp\nTcwuWQkPb5UOhhS+vHWVC2YbFbVaDlgtxOp1BAUFYTAYeH/IEL602ajv7c2+hARe+/JLBmk0OKcG\n3Vu6uzMvD74wERER+NhsjA0J4abZzONubnhrfUhOjsHJyZ1WrcTnNmgQ7A+eQfuk/bzj4osd+GTv\ndip+NAaPhg05fPw4VapWZcCgQVK8HwCkgEsKnZjISB6322/nB1d1duYXqxVbqkFVglUlyeKMW7Ue\nvHBuLYEmHYZSLkz7+mt0Ohg4EHbuFDHwpk3TRTerfihK7tarBw+KHxBfCJs2wfPPQ0SEiZMnzxEY\n6EzVqpXp21fD7NlGyui1lPRT0GmhmKrFyQYJCYm4uQkBN5lE3Dg3AQfhLlitWlqrtxjiD6m08fcg\nxQRBigdfaOLoaE+kHHauKxoGv/ctHh4eHD9+nDI2G/VTK0WbeHhQOimJbcDLNhseWi1/JCRQ6S6V\nlyA8YA7dvMmXNhvNdTqWGgxEedgYPboknp6ZLWWjrx5lkNYZraKgBTpotRw+dYovv//+rteR3F+k\ngEsKnXoNGvCVTkdHs5mSej1/W61Yg4J4LzaWRorCRquKf42+NGkzmZj6w0hJiePzdypTpYoIp/j4\nZN+VJjBQNE44dEiId5s2uWejZLWojomBrVsjGD+iHyWMYZi1dqp3bMb0+d/z/vs16LfdmX3JRp7U\nu7PSaMS/amX8/f1ux+O9vXNutJAVb2/o0QO6dCnFwd+92GkwUMfqxRlLEhrX0nhXWYDVJZLujevz\n0kCx++jv70+ozUakxUIJvZ6bFgsJLi481asXz61cibdGgyYoiFlTp971+mFhYbQuWZInIiMx2Gx0\nc3Jio6cnXl4JFCuWOQ+9VuNqHDpzlDq4odHCcb2VslWr5u2NSu4rMgYuuS/8tHQpcz77DIvZTNO2\nbXn/iy/YsHYtoRcv8litukRE9iQmRiyfAwJg6NDcV9MZMRrFsTlZmly6BFevipL2vXvTTa5atoTP\nJ7xO6/N/MNjFF5uq8oU2lkaffshLgwZx8uRJJr/5JjdDQ3m8dm0mzpyJi0up22M0a5Z3r25VTS+8\nPHPmDOOGDCHiSgRJqic1Wn2H0diUsmWFZ3tGZ8OlCxfy0xdfUEOr5ZTdzpCJE+nzwgtERESQkJBA\n2bJl8+RAePjwYb7q25flXl5gt2NUVZ5NSGDriRN3VJvGxcXxar9+cOkyVlQ8a9Xi6yVLcvWMkTge\nuYkpuS/YU4t07tZ3UVVVbDZbtul7SUkiS0NRxGZkWgl4crJIbbvX3p1nzoi2ZmnUqydCHiVKiBS5\nZpXb85nhBlX0IiyySYni1DPt+WzmTIcI1vXrsHKlMNOqUwe6dBHvUVVVoqON/P23BzdvailXDp5+\nOvsvrYsXL3Lt2jXKly9/h+1tXrHZbLw5bBiWnTupY7Pxp05Hm9GjGTF6dLbHm81mzp49i1arpVq1\najnm5EsKDyngkkLFZrMx4/PP+W3JEhRFocfgwbwxbpzDNreOHIFffoni5OGFeLuE03/4UzxWpTKf\nvf02YVevUrVWLT6cNo1SpUrlOMaqVZk7zlSoIGLqabwy4C2K/76WV5192GSJYZYhjKASxbGUKMHn\nCxfeTnnMjpQU+OMPiIxUiYnZhF49Seny5enZq9ftVfHMmSJOnkZh9CHNK1arlfXr13P96k1c3GrQ\npEkratZU7lqEJCkaZBaKpFBZvngx5xYt4ncvL+yqytvz5/NzYCD9MyrkPWKzwerVBrb89CzPJtyk\noqJl4bHfuKyx8bmzM43d3Vm7fz9jBg5k+e+/5/ilkTXEkZqlCEBiYiKjx7/MJ1HnGXD6FOFRoSzx\n9ubJwEAOJSYyftgw/jh0KMfV58aN4svhwM5P0R5fTHdXO3udFf7esuW2L3dSUuZz8lreHh8v7h5c\nXUW3HI0Gft+4kSXTp2Mxm+nYty9DX301X93mdTodnTr1YN48UeyzZg2cOye+VCQPJ1LAJffM4eBg\nXtTp8E4VzwF6PRt27HCIgKsqXLy4nUaJEYxwFTuFT2ri6BV+g2eeeAKAwT4+rAoJISIi4raNbFZa\ntRIx8itXxKZnhw7i7+vXrmX6e+/hYbdj9/Gh69hRXP7uO5708UEBGrq7ozUaiY6OztYuFkT/zpSU\nOMKOL2G1kxcl3bQM8lJ5/u+/OX36NLVq1aJ+feGECGKDNc3jPDsSE2HPHiHehw8bOXtmNZaUOFq2\naU7z5ma+GzOGT5yc8NRo+HTGDPROTgwePjxfn+vly+kpmQCnT4uK2Hvw05I8AEgBl9wzvqVKcd5q\nJW3P7bzVim8OQppfdDqoWtWKcZt4rncCXxcdFlXFbLfjpNFgsNlIsNtzjVXr9SL7IyOXL19m9rhx\nLHVxoZyTE3/GxfHFjz+iURQiLBb89XqOJSVhdXW93fE9OypWhJCQFFxQcFM0ODuDHYhNSGD+11/T\nskMHevTsSfnyWhISREPpnHpc2u2wZInoq3n9egLBv3XnGftlKqCy8p/vOPNPXV6y26mbuuE4xm5n\n5rp1+RbwrFk6zs4Fb6kmKTqkgEvumeFjxzJ01y4uxcRgB06VKMHC1EbGjuDVV1vSd5U7wYmxVHV1\nZoHJTMV69RgRFUV9q5UdOh39Xn8dr3x2/r148SJ1NRrKOTkB0M7Li09jY3nxnXd4Yfp0ypjNhGm1\nfDJ3bq4ZHk8/DR4eJTm5uwY/hp2gN26MuXANP7OZptu38+eOHZw4cICPp07N0SP7woULXLp0CV/f\nskREiOD4zZt/0DT5Cu94FkOng/q2ZEbt30eDDKGcCKsV17w4eGUhKEjclezdK8S7W7fM3YvWrFrF\nkmnTMJvNdOrbl9fefFMW7DzAyE1MSYGIjY1l9+7dALRs2RKfvObV5ZELFy4w54svMERG0rBdOwa9\n8gp//fUXoaGhVKtWjRYtWuR7zNOnT/Nut24sTy0rP5mczBidjq1HjhAVFUV4eDhBQUG37XDvRkxM\nDFM+/JBDe/eSePEifwYF4e7sjMlup6vRyOJduwgMDLzjvJUrVrDwo4+oq9FwwmrDveYoqtcZzfHj\nS6n250Re9/RDpwWbp5U+9hQ8PDxoGxWFJ7DKxYUvfvwx103WvLJv3z72bN/OjchILqxfz1R3dzw0\nGj5OSODJN99k+OuvF/gakvwjs1AkkhyYM3Mm6779loo6HecVhYnz5tG8efMCjXnixAm+6tOHH1NX\nxqqq0j0hgRmbN99hNmUwGHiuYUN+cnYm0MmJOKuVnsZEuoz6k5QUC3/M78KnepUgJye+TkzE5/nn\nGT5mDOt++w2rxUKb9u2plmpFUBA2rFvH92+9RT+bjRUxMXQwmXg1NW3weFIS04KCWPqHNBstCmQW\nikSSAyPHjKFD165ERERQqVIlSpYsmen1I0eOEBISQoUKFahXr16exqxatSrJAQHMv3aNVq6ubElO\nxr1aNcpl43gVExODHxCYGsbx0emo6KyjRYtInnzySdq0WcLsiRMxxsXRtGdPxowfj7OzM8PvsYdm\nTvwwZQpfODtT09WVKIuF6MREDEYjxfz8CLNY8MyYtiN54JArcIkkC3NnzWLz7Nk8iWg51fH11xmR\nJbZvt9tvp/DZ7XZOnjxJYmIiJUqUYN7UqVw9d47HnniCtyZOpFg29fYmk4luzZvzjsFAGy8vDicm\n8p5Oxy87d+a6cZoTqqqy+tdf2bBkCTq9nhdGjaJtu3Z3Pa9T/fossFgo7eREhMVCp3//pY2nJ4Ge\nnmxydWXaihXUrl07X3PZumULS6dPx2wy0emFFxg4dGi+0h0lgsIOofQGJgLVgAbAkRyOkwL+CHDx\n4kX27NmDm5sbHTt2zPfG4oPCrVu3GNCiBavc3fHR6YizWumVmMiPu3dTqlQpDhw4wCdvvEFEeDg1\n6tRh4syZfP7+J1zauhM/tIT6eLDk95957LHH7nqt06dP8+7QoRgjInD28uLTuXNp1KjRPc17zapV\nrHj3Xd5zcsKkqnxqs/HBkiXZNlhQVdEg4/x5OLjrM5z3LWCMuxthZjOTVJUuw4dTzM+P1k89le/K\nz7179zJ54EAm6nR4aDR8lpJCh/ff58VcGlQAnDwJf/0lNlSffhqqVMnXZf+TFLaAV0NkTX0PvIUU\n8EeWgwcPMuGll+hsMhGl0XC2XDkWrV2baRPw9GmIjBQ+3mVzbuBeqFitwo0wIUF0rc8u4/HMmTNM\n7tmT5RlSE/snJvL+6tX4+vryYtu2fK6q1HFzY0VcHPO9vCh33cAXel+0isIfKQa21K/Fr9ty9+dO\nQ1VVEhIScHd3L9Aq9ZWePRl4+jRNU+Pva2JjOdG9OxOzMbr65x9RhARgt1u5eWUW8aGb8PD25pUJ\nE2jQoME9z2Py++9TecUK+qTeRRxJSuKbihVZlHbBbIiLg6+/FqmUINIa33xTFDE9yuRFwAtyX/Mv\ncP6uR0n+83z78cd8qKqMLVaMyb6+1LlyhdUrV95+fc8e4QcSHAyLFonmBkXBb7/B1q0ihe6HH0Tz\nhqwEBQUR7ebGNqMRu6ryp9FItJsbQUFBnD59mjp2Ow3c3dErCi/6+BBx/Tp1rVa0ioJdtVNH58yt\n61cyjamq4ssjOxRFwdPTs8AhBmc3N+JtttvPjaqKU5qhTBYiItIfazQ66jZ+i5//+osFv/1WIPEG\ncPHwIDrDgi3aasXlLp4yRmO6eIPocpSYWKBpPDLIwJSkwBhjYymbuhkHUFZVic9gAJLRi8Ruz9yN\nPg2zWQh7ZGThzfPcufTHFkt6h5yMuLu7M33ZMuYEBNAoKorxZjMavZ5xw4djNBq5YrNhTlWbMIsF\nJ1dXdrrouGUMIzbiFL9GnSPZbCAhtWb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"text": [ "" ] } ], "prompt_number": 82 }, { "cell_type": "code", "collapsed": false, "input": [ "props" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 83, "text": [ "{'alpha': 0.8, 'c': 'red'}" ] } ], "prompt_number": 83 }, { "cell_type": "code", "collapsed": false, "input": [ "N = 10\n", "props = dict(alpha=0.5, edgecolors='none' )\n", "\n", "handles = []\n", "colors = ['red', 'blue', 'brown', 'green']\n", "for color in colors:\n", " x = np.random.randn(N)\n", " y = np.random.randn(N)\n", " s = np.random.randint(10,300)\n", " handles.append(scatter(x, y, c=color, s=s, **props))\n", "\n", "ylim([-5,11])\n", "xlim([-5,11])\n", "\n", "legend(handles, colors)\n", "grid(True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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sVHZarZCXBykp3vNKm0spbS71e26rrZVuZzfZydneFnXLqVMk18Pi2nQ8nWcp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\n6Mf9t56HGCGjIcjY9cbGAa3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"text": [ "" ] } ], "prompt_number": 86 }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "# the text bounding box\n", "bbox = {'facecolor':'0.9', 'alpha':0.7, 'pad':40, 'color':'red'}\n", "props = {'ha':'center', 'va':'center', 'fontsize': 20, 'bbox':bbox}\n", "\n", "text(0.5, 0.5, 'text 0', props, rotation=0)\n", "text(1.5, 0.5, 'text 45', props, rotation=45)\n", "text(2.5, 0.5, 'text 135', props, rotation=135, family='Serif')\n", "text(3.5, 0.5, 'text 225', props, rotation=225)\n", "text(4.5, 0.5, 'text -45', props, rotation=-45, family='Serif')\n", "yticks([0,.5,1])\n", "xlim(0,5)\n", "xticks(arange(0, 5.1, 0.5), [])\n", "ylabel('center / center')\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 87, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Pf9C2bVvA1Bn9zwEDMIaE8NJLL/Gf//xH6Z8QFau4uJiC/Hy8vb2pW7eucntBQQG7d+/G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\nlQAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 87 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "3D Graphs" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "fig = figure()\n", "ax = Axes3D(fig)\n", "X = arange(-4, 4, 0.25)\n", "Y = arange(-4, 4, 0.25)\n", "X, Y = meshgrid(X, Y)\n", "R = sqrt(X ** 2 + Y ** 2)\n", "Z = sin(R)\n", "\n", "ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=cm.hot)\n", "ax.contourf(X, Y, Z, zdir='z', offset=-2, cmap=cm.hot)\n", "ax.set_zlim(-2, 2)\n", "\n", "grid()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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YHy8x+eFSTUlJISIiIk+/cTgcvPrqq9SoUYOhQ4e6/U7Hjh2ZO3cuPXr0YO/evURFRQXV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\nQgU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"text": [ "" ] } ], "prompt_number": 89 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another simple tutorial for graphing with ipython: http://nbviewer.ipython.org/github/swcarpentry/notebooks/blob/master/matplotlib.ipynb\n", "\n", "Comprehensive tutorial: http://scipy-lectures.github.io/intro/matplotlib/matplotlib.html\n", "\n", "The Matplotlib gallery is a great place to find ideas: http://matplotlib.org/gallery.html" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By Andr\u00e9s Cabrera mantaraya36@gmail.com\n", "\n", "For course MAT 201A at UCSB\n", "\n", "This ipython notebook is licensed under the CC-BY-NC-SA license: http://creativecommons.org/licenses/by-nc-sa/4.0/\n", "\n", "![http://i.creativecommons.org/l/by-nc-sa/3.0/88x31.png](http://i.creativecommons.org/l/by-nc-sa/3.0/88x31.png)" ] } ], "metadata": {} } ] }