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Last active December 24, 2015 13:29
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IPython Notebook Viewer Demo
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Cool Glaphs - IPython Notebook Sample\n",
"\n",
"### requirements\n",
"\n",
"* matplotlib\n",
"* pylab"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Simple Graph"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inlinefrom pylab import *import matplotlib.pyplot as plt%pylab inline\n",
"from pylab import *\n",
"import matplotlib.pyplot as plt"
],
"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": [
"** 2x = linspace(0, 10, 20)\n",
"#y = x - 2 * sin(x)\n",
"y = x ** 2\n",
"subplot(1,3,1)\n",
"plot(x, y, 'g-*')\n",
"subplot(1,3,2)\n",
"plot(x, y, 'b*')\n",
"subplot(1,3,3)\n",
"plot(x, y, 'r')\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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OzyP+vM/dal1MaupSKit7UVDwIpGRzxMQkEty8kNMmvRfeofnEdnnDuzZA3ff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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d1ea3110>"
]
}
],
"prompt_number": 33
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Insert Graph"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure()\n",
"\n",
"axes1 = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # main axes\n",
"axes2 = fig.add_axes([0.2, 0.5, 0.4, 0.3]) # inset axes\n",
"\n",
"# main figure\n",
"axes1.plot(x, y, 'r')\n",
"axes1.set_xlabel('x')\n",
"axes1.set_ylabel('y')\n",
"axes1.set_title('title')\n",
"\n",
"# insert\n",
"axes2.plot(y, x, 'g')\n",
"axes2.set_xlabel('y')\n",
"axes2.set_ylabel('x')\n",
"axes2.set_title('insert title');\n",
"\n",
"fig.savefig(\"filename.png\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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fPx9nZ+ebbv/zQADTX0x8efBLDj5/kFqOtayYVIiybH5TKqMRxo2DS5dgwwao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\nTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d2180950>"
]
}
],
"prompt_number": 35
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Using matplotlib.pyplot.subplots"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axes = plt.subplots()\n",
"y = sin(x)\n",
"axes.plot(x, y, 'y')\n",
"axes.set_xlabel('x')\n",
"axes.set_ylabel('y = sin(x)')\n",
"axes.set_title('sin curve')\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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y0tsJqn///sjLy4NYzL02jSbTJ+jX739Zx4h63h4Zt8Ji2YGUlJ+xjkP85J1l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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d2114b90>"
]
}
],
"prompt_number": 42
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axes = plt.subplots(figsize=(8,4))\n",
"axes.plot(x, cos(x))\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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fgbQ0nhtOxsAtXvbHgm0ShQrJSI5bvLRj/nw5N9zZWXUSIut17Ahcvw7s3Kk6\niXGx6cxELl6UtdLDh4HKlVWnMbfsc8OPHQMqVFCdhsg25swBdu2S3gx6MDadUa7KlgV69QKWLFGd\nhD75RM4NZ7EmIxk8GPjxR+D0adVJjIkjbJPZv18uBTlxAnB1VZ3GnDIzZXS9Zg3QvLnqNES2FRws\nH0SnTlWdRPscOsJOS0tDx44d0bBhQ3Tq1AmXLl265zEnT55EiRIl4OvrC19fX4wZM8aapyQrNWok\n27zWr1edxLw2bZI3NBZrMqKQEDn9LCNDdRLjsapgh4aGokOHDoiLi0O7du0QGhqa4+P8/PwQGxuL\n2NhYzJ0715qnJBsICZGGJ1Jj7lzeykXGVbcuUK8esHat6iTGY1XBjoyMRL9+/QAAffv2xYYNG2wS\niuyrRw/g6FHg4EHVScwnKkp+9oGBqpMQ2U/2Fi+yLasKdkpKCqpWrQoAqFq1KlJSUnJ83L59+9C4\ncWM8/vjj2LZtmzVPSTZQuDAwapTclU2Ok5UlRzi++y5QpIjqNET207Ur8McfQEyM6iTG4vKgB3Ts\n2BFnzpy569ecnJzw9ttv5+kJHn74YSQnJ6NUqVKIjo7G008/jcTERJQuXfqex4aFhf377/7+/vD3\n98/Tc1D+jRol01YzZgBlyqhOYw6ffSYflnr3Vp2EyL6cnW+f+xAerjqNdkRFRSEqKqrAf96qLnEv\nLy9s3boVnp6eSE5ORvv27XHs2LH7/pnmzZtjzpw5aNmy5d1B2CXucMOGARUr8sB+R7h+HahTB/ji\nCznXncjoLlyQ3RAJCfI+Q/dyaJd4QEAAIv45PDYiIgIBAQH3PObSpUvIysoCACQkJCApKQlevJhZ\nE6ZPB5YtAxITVScxvg8+AB57jMWazKN8eaBnT2DpUtVJjMOqEXZaWhr69OmDs2fPonLlyvjiiy9Q\npkwZ7N27F4sWLcKSJUvwww8/YNKkScjKysKtW7cQFhaG3jnMCXKErcbMmXKU4Lffqk5iXKdPAw0b\nynpe9eqq0xA5Tmws0L07cPy4XL9Jd8tv3ePBKSZ386asZc+fDzz5pOo0xjR8uOy75tIDmVHHjlK0\nQ0JUJ9EeFmzKt2+/BSZPllPQePqZbe3fLx+Ejh4FcuizJDK8+HjgiSdkG6mbm+o02sKzxCnfunUD\n3N25zcvWLBbg5ZeBN99ksSbz8vEBhgwBJk1SnUT/OMImALc/BcfHs6PTVr7/Hpg4EYiL4/odmdvV\nq3IC2ppGUDqOAAAOGklEQVQ10nxJglPiVGAvvijn/y5cqDqJ/v39tzSaffABkMPmCSLTWb1aDg2K\nieEH2GycEqcCCwsD1q2TdVeyzscfyzJD586qkxBpQ58+QLlywKJFqpPoF0fYdJeFC2XaautWwMlJ\ndRp9unQJqF0b2LxZRtlEJA4dAvz92YCWjSNsssqoUcDFi8BXX6lOol8zZkgjH4s10d3q1ZMGtMmT\nVSfRJ46w6R5btwJDhwKHDwNFi6pOoy8nTgDNmskIokoV1WmItCe7Ae2LL4BWrVSnUYsjbLJa27ZS\ndN5/X3US/Zk8GRg3jsWaKDclS8p7S3AwcOuW6jT6whE25ejkSaBpU2DfPsDDQ3Uafdi1Sxprjh4F\nihVTnYZIuywWoH17OWvczCegcVsX2cwbbwBJScA/97vQfVgscrFHcDAwcKDqNETaxwY0TomTDU2e\nDGzfDuzYoTqJ9q1ZI9N7/furTkKkD/XqAYMHswEtPzjCpvuKiJDDP379FSjEj3c5+usvuev600/l\ntDgiyhuzN6BxhE021bcvUKQIEB6uOol2ffQR0KQJizVRfpUsCcyaxQa0vOIImx4oJkb2FR85wkss\n/uvcObnc4JdfAG9v1WmI9MdiAdq1A5591nwNaGw6I7sYPlyOFZw1S3USbQkKAh56CPjwQ9VJiPQr\nuwHt0CGgUiXVaRyHBZvs4swZoH592bpUq5bqNNpw6JDsWT9yRD7MEFHBTZgAXLgALF+uOonjsGCT\n3cyaBWzbJtdGktzC1akT8NJLqpMQ6Z8ZG9DYdEZ28+KLQEICsHGj6iTq/fgjkJgoU+JEZL07G9Ay\nM1Wn0SYWbMqzwoWB2bPl6M2//1adRp3MTJm+e+89+ZkQkW0EBgJlyvAKztywYFO+dOkCVK8OzJun\nOok6y5cDZcsCzzyjOgmRsTg5yXtLWJjswKC7cQ2b8u3wYaBNG/N1dAKyzla7NvDtt3JBChHZnlka\n0Nh0Rg4xbhyQng4sXqw6iWO9/jpw6hSwYoXqJETGdfWqnB64dq2xG9BYsMkhLl2SF9TGjYCvr+o0\njvH770DjxrzBjMgRVq2SPpGYGMDZWXUa+2CXODlEmTLAW29J57hZPme99pp0hbNYE9kfG9DuxRE2\nFVhmptyZ/dprQO/eqtPYV0wM8PTTsq2tRAnVaYjMwegnoHFKnBzq55/l/ufDh4FixVSnsQ+LRS72\nGDQIGDFCdRoic5kwAUhLAz75RHUS2+OUODlUmzZAy5bGPmP8669lzX7oUNVJiMwnNBT44Qe5YMfs\nOMImqyUny/WSsbGAp6fqNLaVkSG3cS1aBHTooDoNkTkZtQGNI2xyuGrV5Fq8iRNVJ7G9+fNl3zWL\nNZE6gYFyta/ZG9A4wiabSE+XbV6ffw60bq06jW1cuCD/m7Ztk1E2EaljxAY0Np2RMqtXy7TVr78a\nY9rqpZdkSnzBAtVJiAgAxo8HLl40TgMaCzYpY7FIE9qgQcDIkarTWCchQU5Yio83zqd5Ir27ckWu\n4PzyS+DRR1Wnsc5XXwHPPceCTQr99pvcE33kiBx6oFc9esgbghHX5Yn0TO8NaBkZ8r7y7bfAiRNs\nOiOFmjQBunUDpk1TnaRgLBbg44/l+NGxY1WnIaL/0nMDWnKy9PicPAns3Zv/P88RNtncuXNAvXrA\n9u3StKUXZ84Ao0bJi+qzz4AGDVQnIqKcHDoEtG0LHDyonyWr778Hhg+X0fXLL8tVotzWRcpVqiTH\nlfbqJQ1oerB2rVzs0bChZGaxJtKuevXkhMXJk1UnebBbtyRnUBCwbp00zjk5Fex7cYRNdmGxyBWU\nkycD3bsD06cD5curTnWvtDQgOFjW3lesAFq0UJ2IiPIiuwFNy1dwnj4tU/jFigErVwIVK979+xxh\nkyY4OQGDB0uXtYuL7GNetgzIylKd7LbISBlRu7nJKW0s1kT6UaoUMG+e9My89pps99KS//1PLkfq\n1Enea/5brAuCI2xyiN9+kykhJyfZ16zyDu2rV2UNafNmYPlyWQsjIn06dUqu+l2/Xl7XY8cCxYur\ny5OZCbz9NrB4sfTCtGuX+2M5wiZNatIE2LVLmi6eegoYM0Yu1HC0qCgZVVssQFwcizWR3nl6AkuX\nAjt2yO6OmjVl5J2R4fgs587J+9vWrdIFfr9iXRAs2OQwhQrJ9ZTx8fJiqltX1o0dMbFy44acXNa/\nv7yYly6VKTUiMobatYE1a4ANG2QKunZt4NNPZcTrCNu3yxR48+YyHV6liu2fg1PipMyePTJNXrSo\nTJPbqzN7zx45fc3XV4q1FpvfiMi2tm+Xte0LF2SKukePgndn309WFvD++8Ds2bLE1rlz3v8sjyYl\nXcnMlINKQkOBAQOAsDDbjXwzMmRta8kSYO5coHdv23xfItIHiwXYtEkKt4sLMGOG3Lxnq8KdlibN\ntefPy+g+v9cLcw2bdMXZGRg9Wg5CuHRJpslXrbJ+mjwuTqam9u+XLxZrIvNxcpIR7969wIQJsoWz\nXTsgOtr6771nj/TmeHvLjX75LdYFwRE2acrOnfKiKldOpq/ze63lrVsyPfXBB3Le8JAh9pkGIyL9\nuXULCA8Hpk6VYvv22/lfirNYZMYuuxO8R4+C53HYCHvt2rWoV68enJ2dsW3btlwft2nTJtSvXx91\n69bFzJkzC/p0ZBKPPSaH+j/zDPDEE8CkScC1a3n7swkJck7vjz/K9xg6lMWaiG5zcZHG18RE2SHS\nsaMsxSUl5e3PX74ss3Xh4cAvv1hXrAuiwAW7QYMG+Prrr9GmTRs45fKuePPmTYwcORKRkZGIi4tD\nREQEYmNjCxyWrBMVFaU6Qp64uMheygMH5KQgHx+5Ti+3D6JZWfKJt1UroF8/6dCsVs2xmbPp5Wes\nd/w525+Rf8ZFisiukcRE6SZv0QJ44QUgNTX3P7NvH9CsGVChgmxR9fJyXN5sBS7YderUQa1ate77\nmN27d8Pb2xuenp5wdXVFz549sWHDhoI+JVlJby/AypXlOL/PPpNmtKeeklH0nZKT5VNyRIS8iMaM\nke1jqujtZ6xX/Dnbnxl+xiVLAm+8ARw9Kv/eoAHwyivSWZ7NYpHG1Y4dZSp94UIp+CrY9a0tJSUF\nVatW/fe/3d3dkZKSYs+nJANq00aODu3USUbRr78OpKfLFopmzeSFtH078IDPj0REOSpfHpg1S2b1\nrl6VUfe0aXKD3+DBwEcfyXtMv35qc963YHfs2BENGjS45+u7777L0zfPbaqcKL9cXeWWm/37Zb2p\nShV5EW3ZIheMuLioTkhEele1qtyzHR0to253d+mD2b1bI1cFW6zk7+9v2bZtW46/9/PPP1vatm37\n73+HhYVZ3n777Rwf6+XlZQHAL37xi1/84pcpvry8vPJVb20yLrHk0g3k5+eHhIQEJCcno0qVKli3\nbh2WL1+e42OPHTtmiyhERESGZNW2Lg8PD0RHR6NXr1547LHHAACnT59Gly5dAABFihTBkiVL0KVL\nFzRq1AiBgYFo0qSJbZITERGZiGYOTiEiIqLcKT+alAer2N+ZM2fg7++PBg0aoFatWggLC1MdybCy\nsrLg5+eHtry30y4uXryInj17omHDhvDx8cH+/ftVRzKciRMnwtvbG3Xq1EGPHj1w5coV1ZEMYdiw\nYXBzc0ONGjX+/bW0tDR07NgRDRs2RKdOnXDpAXcOKy3YPFjFMVxcXDB37lwcOHAA+/btw+rVq7Fj\nxw7VsQxp3rx58Pb25g4JOxk1ahQCAgIQFxeHAwcOwEvF6RUGFhsbiy+//BKHDh3CkSNHULhw4Vz7\njih/hg4dik2bNt31a6GhoejQoQPi4uLQrl07hIaG3vd7KC3YPFjFMSpUqIAG/xyYW6xYMdSvXx9n\nzpxRnMp4Tp8+je+++w4jR47kufh2cOHCBezcuRMjRowAADg7O6NEiRKKUxlLlSpV4OLiguvXr+PW\nrVtIT0+Ht7e36liG0Lp1a5QtW/auX4uMjES/fzZ39+3b94H1T2nB5sEqjnfy5ElER0ejffv2qqMY\nzvjx4/Huu++ikMqj1gwsMTERbm5u6Nu3L+rVq4eBAwfiWl4Pmqc8qVy5MiZOnAhPT088/PDDKFu2\nLAICAlTHMqw7a2DVqlUfWP+UvrNw2tCx0tPT0bt3b8yZM+eeT3pknU2bNqF06dJo2rQpR9d2kpWV\nhf379yMoKAiHDh1C8eLFMW3aNNWxDCUpKQnvvPMOjh8/jtTUVJw/fx6ff/656lj0D6UF293dHal3\nnLaekpICDw8PhYmMKzMzE3369EFgYCB69uypOo7h7Nq1Cxs2bECNGjXQt29fREdH45lnnlEdy1A8\nPDxQrlw5tG7dGgDQvXt37Nu3T3EqY9mzZw/8/PxQsWJFuLq64umnn2a/ix3dOaucmpoKd3f3+z5e\nacG+82CVjIwMrFu3Dp07d1YZybBGjhyJGjVq4OWXX1YdxZDeeust/P777zhx4gRWr16Nli1b4ptv\nvlEdy1A8PDzg4eGBuLg4AHI5Rd26dRWnMpaaNWsiJiYG169fh8ViwU8//YSaNWuqjmVYAQEBiIiI\nAABEREQ8cPlB6QnMdx6skpmZiUGDBvFgFTvYuXMnwsPD0bBhQ/j6+gIApk2bhq5duypOZkwWi4XL\nPXYSHh6OYcOGIT09HdWrV+d0rY35+flhwIABaNSoEZydneHr64vg4GDVsQyhV69e2LlzJ86fPw8P\nDw+MHz8eU6dORZ8+fRAREYHKlSvjiy++uO/34MEpREREOsB2ViIiIh1gwSYiItIBFmwiIiIdYMEm\nIiLSARZsIiIiHWDBJiIi0gEWbCIiIh1gwSYiItKB/wcRxCClDetYQgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d21b8e50>"
]
}
],
"prompt_number": 44
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Saving figures"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig.savefig(\"filename.png\")\n",
"fig.savefig(\"filename.png\", dpi=200) # dpi : dot-par-inch\n",
"fig.savefig(\"filename.svg\")"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Using LaTex Style"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# set legend font\n",
"matplotlib.rcParams.update({'font.size': 18, 'font.family': 'serif'})\n",
"fig, ax = plt.subplots(figsize=(10, 10))\n",
"ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n",
"ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n",
"ax.set_xlabel(r'$\\alpha$', fontsize=18)\n",
"ax.set_ylabel(r'$y$', fontsize=18)\n",
"ax.set_title('title')\n",
"ax.legend(loc=2); # upper left corner (enable to use 0 to 4)\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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7043btWuXJKX55oWEhEhSuvHJycnas2ePGjZsKH9/f4e8BwAA4DniE+O1NGap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\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d2155710>"
]
}
],
"prompt_number": 49
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Setting colors, linewidths, linetypes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### colors"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(x, x+1, color=\"red\", alpha=0.5) # half-transparant red\n",
"ax.plot(x, x+2, color=\"#1155dd\") # RGB hex code for a bluish color\n",
"ax.plot(x, x+3, color=\"#15cc55\") # RGB hex code for a greenish color\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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gwSeyMw5b+M1TtkrpZRvzsBvaOsucsh0+HOjUybpzICKrcbjCb+hla0jZspct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\nYtBXybSjRwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d24b9090>"
]
}
],
"prompt_number": 53
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Line and marker styles"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots(figsize=(12,6))\n",
"\n",
"ax.plot(x, x+1, color=\"blue\", linewidth=0.25)\n",
"ax.plot(x, x+2, color=\"blue\", linewidth=0.50)\n",
"ax.plot(x, x+3, color=\"blue\", linewidth=1.00)\n",
"ax.plot(x, x+4, color=\"blue\", linewidth=2.00)\n",
"\n",
"# possible linestype options \u2018-\u2018, \u2018\u2019, \u2018-.\u2019, \u2018:\u2019, \u2018steps\u2019\n",
"ax.plot(x, x+5, color=\"red\", lw=2, linestyle='-')\n",
"ax.plot(x, x+6, color=\"red\", lw=2, ls='-.')\n",
"ax.plot(x, x+7, color=\"red\", lw=2, ls=':')\n",
"\n",
"# custom dash\n",
"line, = ax.plot(x, x+8, color=\"black\", lw=1.50)\n",
"line.set_dashes([5, 10, 15, 10]) # format: line length, space length, ...\n",
"\n",
"# possible marker symbols: marker = '+', 'o', '*', 's', ',', '.', '1', '2', '3', '4', ...\n",
"ax.plot(x, x+ 9, color=\"green\", lw=2, ls='*', marker='+')\n",
"ax.plot(x, x+10, color=\"green\", lw=2, ls='*', marker='o')\n",
"ax.plot(x, x+11, color=\"green\", lw=2, ls='*', marker='s')\n",
"ax.plot(x, x+12, color=\"green\", lw=2, ls='*', marker='1')\n",
"\n",
"# marker size and color\n",
"ax.plot(x, x+13, color=\"purple\", lw=1, ls='-', marker='o', markersize=2)\n",
"ax.plot(x, x+14, color=\"purple\", lw=1, ls='-', marker='o', markersize=4)\n",
"ax.plot(x, x+15, color=\"purple\", lw=1, ls='-', marker='o', markersize=8, markerfacecolor=\"red\")\n",
"ax.plot(x, x+16, color=\"purple\", lw=1, ls='-', marker='s', markersize=8, \n",
"markerfacecolor=\"yellow\", markeredgewidth=2, markeredgecolor=\"blue\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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BgwdjxYoVOHv2LGrUqAEAuHbtGr788kt07dq1bCMhEUUmxxaLQAZkPTRZOI5Y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\nD75/tLwkJoM4AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d2804050>"
]
}
],
"prompt_number": 51
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Misc Tips"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Series of graphs"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axes = plt.subplots(2, 2, figsize=(12,8)) # arg[0] : row arg[1] : column\n",
"cnt = 1\n",
"for ax_row in axes:\n",
" for ax in ax_row:\n",
" ax.plot(x, sin(x**cnt))\n",
" cnt += 1"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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/gwbJRkI/J++Syy1aJKO+qlZVHYnzXHGFLJ6rVqmOhIxgAm19BTqQBFo/ztup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9AAAg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\nQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d253ce90>"
]
}
],
"prompt_number": 69
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot range"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"matplotlib.rcParams.update({'font.size': 12, 'font.family': 'serif'})"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 55
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n",
"\n",
"axes[0].plot(x, x**2, x, x**3)\n",
"axes[0].set_title(\"default axes ranges\")\n",
"\n",
"axes[1].plot(x, x**2, x, x**3)\n",
"axes[1].axis('tight')\n",
"axes[1].set_title(\"tight axes\")\n",
"\n",
"axes[2].plot(x, x**2, x, x**3)\n",
"axes[2].set_ylim([0, 60])\n",
"axes[2].set_xlim([2, 5])\n",
"axes[2].set_title(\"custom axes range\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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KupVFR2Ea7tyDc9DW0kabWm1ER9EoXFAzpoJSM1JxJPYIepr3FB2FMZYH/AWY\nqYoNYRvg1dwLMplMdBSNwgU1Yyoo6F4QGhk2glF5I9FRGGO5SFek41DMIf4CzIR7m/oWuyJ3waO5\nh+goGocLasZU0L6ofXA356uzGVMHp++fRr3K9Xi+Xybcnqg9sKtth5oVaoqOonG4oGZMxRBR5p+P\neXVExtQCD/dgqoLnnhaHC2rGVMzlx5dRrnQ5NDJsJDoKYywXRIS9UXt5vl8m3P2E+wh/Eo4e5j1E\nR9FIXFAzpmL2Ru3l4R6MqYlrT69BS6YFi2oWoqMwDRcQHoD+Fv2hW0pXdBSNxAU1YyqGh3swpj72\n3doH90buPKMCE0pBCp57WjAuqBlTIbdf3kb823ieP5QxNcGrIzJVcPr+aZQrXQ7WNaxFR9FYXFAz\npkL23dqHHg17QFtLW3QUxlgu4l7HIe51HByMHURHYRpuQzjPPS0aF9SMqRAe7sGY+tgXtQ/dG3ZH\nKa1SoqMwDZaUmoS9UXsxqNkg0VE0GhfUjKmI5++eI+xJGNrXay86CmMsD3i6PKYKdt3cBUdjR1Qv\nX110FI3GBTVjKuJg9EF0qN8Bejp6oqMwxnLxKvkVQh+FolODTqKjMA3Hc0+rBi6oGVMR+27x6oiM\nqYu/Yv6C3ESOcqXLiY7CNNjtl7cRGR+Jbg27iY6i8bigZkwFvEt7hxN3TvBJkTE1wcM9mCoICA/A\nAMsBKK1dWnQUjccFNWMq4O87f6NVzVbQ19MXHYUxlov36e9x7PYxXpGOCaUgBQLCA3juaRXBBTVj\nKmBfFPd2MaYu/rn7DyyqWaBauWqiozANdvLuSejr6cPKyEp0FAYuqBkTLkORgQPRB3i6PMbUBC/m\nwlRB1tzTTDVwQc2YYOcfnkfNCjVhUtlEdBTGWC4UpMD+6P1wb8QXEDNxXqe8xoFbBzCw2UDRUdi/\nuKBmTDDu7WJMfYQ+CkUV3SowMzATHYVpsJ03d8KlngsMyxqKjsL+xcs7MSYQEWHfrX3Y8dUO0VEY\nY3mwL2qf8N5pLy8v3L9/X7pduXJl7NmzR7odEBCAZcuWQVdXF4aGhli3bh0MDbnwKkn8w/wx1WGq\n6BjsA1xQMyZQ+NNwpCvS+aISxtQAEWHnzZ3Y9tU2oTlkMhlOnjyZ430XL17ElClTEBkZCUNDQ8yc\nORNDhw7F/v37izklKyrRL6Jx++VtdDHtIjoK+wAP+WBMoK3Xt+Ibi28gk8lER2GM5eLS/12CTCaD\ndQ1r0VHs4/sxAAAgAElEQVQwbNgwyOVyODs7KxXLgYGBcHV1lXqkvby8cOjQIbx8+VJUVFbINoRt\nwKBmg6CjrSM6CvsAF9SMCaIgBbbd2Ib+Fv1FR2GM5cHWiK3o37S/8C/Aenp6GDRoEIKCgrB8+XJ4\neHjg7NmzAICYmBgYGxtL+xobG4OIEBsbKyouK0QZigwEhgfy3NMqiId8MCbI+QfnUb50eVhWsxQd\nhTGWiwxFBrbf2I7jHsdFR8GKFSuk/zdt2hTt27fHrl274ODgIDAVKw5Hbx+FUXkjWFSzEB2FfYQL\nasYE2RaxjYd7MKYmzsSdgWFZQzSp2kR0lGxKlSqFjIwMAICZmZnSBYtxcXGQyWQwNTXN8bHe3t7S\n/+VyOeRyeVFGZQVARJh/ej4m2U0SHaXECAoKQlBQUKEcS0ZEVChHKgIymQwqHI+xfEtXpKP2kto4\nM/QMTPVz/qDLiSq3CVXOxlhBjTo4CiaVTTC1bd5nViiqNtGmTRucP38eWlpaePToEZo3by6NnQ4N\nDUW3bt1w8+ZNVK1aFTNmzMC1a9dyvCiR26x6OXb7GMYfGY+I0RHQ1tIWHadEKkib4B5qxgQ4efck\n6lSq80XFNGNMjLSMNOyO3I3Qb0NFRwEA9OzZEy4uLgCAly9fYvbs2XB1dQUAtG7dGosWLULnzp2h\np6cHAwMDrF+/XmRcVgiICN5B3vjJ6ScuplVUgXqoDx48iFmzZqFs2bJ4/fo1OnTogMWLF0Mmk8HH\nxwc7duyAjo4OzM3NsXr1aujq6gIAYmNjMWLECKSnpyM5ORnz5s1D586ds4fjb8+shBq2bxiaVmv6\nxX+6K0ib4PbKWP4cjjmMOcFzcH7Y+S96nKq3CVXPx/7n2O1jmHBkAq6Pvs4FdREqUJugAqhcuTId\nP36ciIhSUlKoXr16dODAAdq5cyc1bNiQkpOTiYho0KBBNHbsWCIiUigUZGlpSevWrSMioqioKKpY\nsSI9fPgw2/ELGI8xlZSSlkL6Pvr08HX293xuCtImuL0ylj8ef3qQX4jfFz9O1duEqudjmRQKBdmu\ntaWt17eKjlLiFaRNFGjavKZNm+LZs2cAgISEBKSnp6NOnToICAhA//79pR6uIUOGIDAwEABw5coV\nREVFYdCgQQAAc3NzNG/eHDt28EpxTDMciT0Ci2oWqFWxVrE+L7dXxr5ccloy9t/aj6+bfC06CtNQ\nx24fw+uU1/weVHEFKqj37t2LZcuWwdLSEs2bN8fChQvRvHnzbPNg1qlTB4mJiXj27Bmio6NRrVo1\nlC5dWrrf2NgY0dHRBYnCmNrYGpG5mEtx4/bK2Jc7FHMI1jWtUaNCDdFRmAYiIswKmoVZ7WbxUA8V\nl++LEt+/fw+5XI7JkydjyJAhePjwIdq2bYvq1avn63ifmjqMp/RhJcnb1Lc4EnsEy12X52n/wprS\nh9srY/mTNb1lXhTmFFyMAZnzTr9JfYOvmnwlOgrLRb4vSgwJCYG9vT2Sk5NRpkwZAEC/fv2gr6+P\nhw8fokWLFpgzZw4A4MSJE+jTpw8SEhJw6dIl2NvbIykpSer1cnR0RO/evTFx4kTlcHzBBCthtl7f\nio3XNuKvgX/l6/H5bRPcXhn7convE1FnaR3cHX8X+nr6X/x4VW8Tqp5P0xER7NbZYaLtRPSz6Cc6\njkYoSJvI95CPunXrolSpUtK38aSkJFy6dAlmZmbw9PTE9u3bkZycDADw9/fH4MGDAQDW1tYwNzfH\nxo0bAQBRUVEIDw9H37598xuFMbWxNWKrkKXGub0y9uX2Ru2FU12nfBXTjBXUkdgjeJP6Bl835bHT\n6qBA0+bt3LkT8+bNQ7ly5ZCQkABnZ2f4+vpCR0cHCxYsUJqGa82aNUrTcA0fPlyahmvu3Lno2rVr\n9nD87ZmVIK+SX8HEzwQPJj5AxTIV83WMgrQJbq+MfRnXza4Y1GwQBlgOyNfjVb1NqHo+TUZEsF1n\ni8l2k9G3KXdgFJeCtAleKZGxYrLuyjocjj2MXX135fsYqtwmVDkbY1/q+bvnaLCsAR5NeoTypcvn\n6xiq3iZUPZ8m+yvmL/xw/AdcG30NWrICzR/BvoCQIR+MsS8janYPxtiX23VzF7qads13Mc1YftG/\nqyLOajeLi2k1wr8pxorBk6QnuPz4MlzNXEVHYYzlgajrHRg7HHsYyenJ6NOkj+go7AtwQc1YMdh5\nYyd6NOwBPR090VEYY7l4mPgQ159eR1fT7NcKMFaUPpx3mnun1Qv/thgrBjzcgzH1sePGDrg3ckeZ\nUmVER2Ea5q+Yv/A+/T16N+4tOgr7QlxQM1bE7iXcQ8zLGHSo30F0FMZYHvAXYCYCEcH7FI+dVlf8\nG2OsiG2L2IY+jftAR1tHdBTGWC5iXsQg7nUcnOs5i47CNMyhmENIzUhFr8a9REdh+cAFNWNF7EuW\nLmaMibX9xnZ83eRrlNIqJToK0yA8s4f6498aY0UoMj4S8e/i4VjXUXQUxlguiIiHezAhDkYfRJoi\nDe6N3EVHYfnEBTVjRWhrxFb0a9qPexwYUwPXn13Hm/dvYFfHTnQUpkGyxk57t/Pmzwo1xr85xooI\nEfFwD8bUyLaIbehv0Z+LGlasDkQfQIYiA26N3ERHYQXAZw3GisiVx1egIAVa1WwlOgpjLBf8BZiJ\nwGOnSw7+7TFWRLLGYspkMtFRGGO5uPDoAkprl4aVkZXoKEyD7L+1HwTisdMlABfUjBUBBSmw/cZ2\nXrqYMTWx9XrmUuP8BZgVlw/nneb3nfrjgpqxInAm7gyq6FZB02pNRUdhjOUiQ5GBHTd38HAPVqz2\n39oPAHAz57HTJQEX1IwVgQ1hG+DRzEN0DMZYHhy9fRR1KtaBuaG56ChMQ3w4swf3TpcMPHM9Y4Us\n8X0i/oz8E9Fjo0VHYYzlwdora/Fty29Fx2AaZN+tfZBBhp7mPUVHYYWEe6gZK2TbIrahff32qFau\nmugojLFcPE16in/u/sPXO7BioyAFvIO84S3n3umShAtqxgrZ2itr8W0L7u1iTB0Ehgeid+PeqFim\nougoTEPsi9oHbS1t9GjYQ3QUVoi4oGasEF17eg2Pkx6jU4NOoqMwxnJBRFh7lYd7sOKjIAWPnS6h\nuKBmrBCtu7IOQ62GQltLW3QUxlguzsSdgbZMG3a1ealxVjz2Ru2FjpYOujfsLjoKK2R8USJjhSQl\nPQWbr2/GpRGXREdhjOVBVu809xSy4qAgBWafmo35LvP5PVcCcQ81Y4VkT+QetKzREiaVTURHYYzl\n4nXKa+yL2qf201uePn0apUqVQnBwsLQtICAA1tbWcHBwgJubG54/fy4wIcuyJ3IPSmuXRjezbqKj\nsCLABTVjhYTHYjKmPrZGbEXHBh1RtVxV0VHy7cWLF1i4cCGMjIykbRcvXsSUKVNw9OhRnD17Fs2a\nNcPQoUMFpmTA/3qneex0ycUFNWOF4M6rO7j+9DqveMWYmigJs/GMHTsWS5YsgY6OjrQtMDAQrq6u\nMDQ0BAB4eXnh0KFDePnypaiYDMCfkX+iTKkycDVzFR2FFREuqBkrBOuvrsdAy4EoU6qM6CiMsVxc\nfXwV8e/i0aF+B9FR8m3p0qXo2rUrzMzMlLbHxMTA2NhYum1sbAwiQmxsbHFHZP/i3mnNwBclMlZA\n6Yp0+If54+igo6KjMMbyYN1V9Z6N5/Lly4iIiMC6deukbUSUr2N5e3tL/5fL5ZDL5QVMxz72Z+Sf\n0Culx73TKigoKAhBQUGFciwZ5bcVFgOZTJbvkwRjxeVg9EHMPz0f54edL/LnUuU2ocrZGMuSnJaM\n2ktr4+rIqzCuZJz7AwqgqNrEf//7X5w+fRplymT+RSwkJASNGjVCo0aNYGhoiNevXyMwMBAAcPv2\nbTRs2BDx8fHQ19cvlnzsfxSkQPNVzeHTwYcLajVQkDbBPdSMFVBJGIvJmKb4M/JP2NS0KfJiuij5\n+Pgo3a5Xrx78/Pzg5OSE0NBQdOvWDfHx8ahatSr8/f3RrVu3bMU0Kx67b+5GWZ2y6GraVXQUVsS4\noGasAB6/eYxT909hU+9NoqMwxvJg7dW1+N7me9ExCkVsbCx8fX3x6tUr+Pr64sGDBxg4cCAWLVqE\nzp07Q09PDwYGBli/fr3oqBopa+z0oo6LeOy0BuAhH4wVgM8ZH8S8jMHanmuL5flUuU2ocjbGACDm\nRQwc1jvg4aSHKK1dusifT9XbhKrnU3c7buzAkvNLcH7YeS6o1QQP+WBMACLC2qtrsbHXRtFRGGN5\nsP7qegxuPrhYimmm2bJ6pxd3WszFtIbggpqxfAq+H4wy2mXQplYb0VEYY7lIV6QjIDwAJwafEB2F\naYCdN3aiQukK6Nygs+gorJhwQc1YPmWtjMi9D4ypvr9i/kL9KvXRuGpj0VFYCZehyMCc4DlY0mkJ\nfz5oEF7YhbF8eJX8CgduHcCgZoNER2GM5cHaK2sxrMUw0TGYBth5cycqlqmITg06iY7CihEX1Izl\nw5brW9DZtDMMyxqKjsIYy8WjxEc4HXcaXzf9WnQUVsJlKDIw59QczJbP5t5pDVOggjotLQ3/+c9/\n4OzsjI4dO6Jbt27S8qYBAQGwtraGg4MD3Nzc8Pz5c+lx8fHxcHNzg4ODA6ytraUJ6BlTF+uurlO7\nuae5vTJNFRAegL5N+qJ86fKio7ASbseNHaisWxkd63cUHYUVswKNoZ40aRKMjY1x8uRJpe0XL17E\nlClTEBkZCUNDQ8ycORNDhw7F/v37AQBDhgxBy5YtMWfOHMTHx6NJkyZo2rQprK2tCxKHsWJx5fEV\nvEx+ifb124uO8kW4vTJNpCAF1l9dj619toqOwkq4rLHTy7os495pDZTvHuq3b99i3bp1qFatGrp2\n7Qp7e3ssXboUABAYGAhXV1cYGmb+OdzLywuHDh3Cy5cvER8fj8OHD2PIkCEAgKpVq6Jr167c68XU\nRtZYTC2Z+oyY4vbKNNWpe6dQrnQ5tKrZSnQUVsLtuLED+nr66FC/g+goTIB891BHRUUhJSUFZ8+e\nxeHDh/HixQvY2NhAX18fMTExsLGxkfY1NjYGESE2NhYZGRkgIhgb/2/Z1zp16uDKlSsFeyWMFYN3\nae+wLWIbwkeFi47yRbi9Mk219mrmF2DuMWRFiXunWb672FJSUgAAHh4eAAADAwP07t0be/bsAQBe\nfYmVSLtu7oJtbVvUqVRHdJQvwu2VaaKXyS9xKPoQz8bDitz2G9thoGfAvdMaLN891LVr1wYApW9i\n2trayMjIgJmZGeLi4qTtcXFxkMlkMDU1RUZGBmQyGe7fv4/69etL9zds2DDH5/H29pb+L5fLIZfL\n8xuZsQJbfXk1JttNLrbnCwoKQlBQUIGPw+2VaaLA8EC4mrlCX0+/WJ6vsNorUy9ZM3ssd13OvdOa\njArAzs6OJk6cSEREKSkpZGlpSatWraILFy6QoaEhPXv2jIiIpk+fTj169JAe161bN5oxYwYRET19\n+pQMDQ3p4sWL2Y5fwHiMFarQh6FUd2ldSstIE5ahIG2C2yvTJOkZ6VTPtx6df3BeWAZVbxOqnk9d\nbArfRG3XtyWFQiE6CiuggrQJ2b8HyJe4uDgMHz4ciYmJSEtLg6urK+bMmQMA2LBhA5YtWwY9PT0Y\nGBhg/fr10kVP8fHxGDZsGF68eIHk5GSMHz8enp6e2Y4vk8n4T9FMZQzYPQDWNawx2b74eqg/VpA2\nwe2VaZI9kXuw8NxCnB92XlgGVW8Tqp5PHWQoMtBkRROscF2hdjM/sewK0iYKVFAXNW7sTFU8eP0A\nzVc1x93xd1FJt5KwHKrcJlQ5G9M8jv6OGNt6LPo27Sssg6q3CVXPpw42XduENZfX4JTXKR7uUQIU\npE0UaB5qxjTF8tDl8GjmIbSYZozlzaX/u4S413Ho3bi36CisBEtXpGNu8Fys7LaSi2nGBTVjuUlK\nTcK6q+sQOjxUdBTGWB4sDVmKca3HoZQWf8SxorP1+lZUL1cdzibOoqMwFaA+K1MwJkhAWACc6jqh\nfpX6oqMwxnLxKPERDsccxrctvxUdhZVgWb3Ts+WzuXeaAeAeasY+S0EK+F3ww7qe60RHYYzlAQ/P\nYsVhy/UtqFGhBuQmctFRmIrggpqxzzgUfQgVy1REW+O2oqMwxnLxNvUt1l5di5BhIaKjsBIsq3f6\njx5/cO80k/CQD8Y+Y2nIUky0ncgnTcbUQGB4INoat0UD/Qaio7ASbMv1LahVoRb3TjMl3EPN2CeE\nPQlD9ItofN30a9FRGGO5UJACvhd88UePP0RHYSXYh73TjH2Ie6gZ+wTfEF98b/M9SmuXFh2FMZaL\nwzGHUb50eTgaO4qOwkqwzdc2o3bF2tw7zbLhHmrGcvD4zWPsu7UPt8fdFh2FMZYHS0KW8PAsVqSy\neqf5InWWE+6hZiwHKy6uQP+m/aGvpy86CmMsF+FPwhH1PEroqois5Nt0bROMKxmjnUk70VGYCuIe\nasY+kpyWjNWXV+P0kNOiozDG8sD3Ag/PYkUrXZGOecHzsN5tvegoTEVxQc3YRzZd24TWtVrD3NBc\ndBTGWC6eJD3B3qi9iB0bKzoKK8E2hm9E3cp14VTXSXQUpqK4oGbsA0QE3wu+WNZlmegojLE8WHlx\nJfo37Q+Dsgaio7ASKik1CXOC5yDQPVB0FKbCuKBm7APHbh9DKa1ScKnnIjoKYywXKekpWHV5FYK9\ngkVHYSXYpKOTIDeRw7EuzyDDPo0vSmTsA0tDlmJCmwk8UwBjamDztc1oVbOVRg7PWrduHYYNGwYX\nFxc0adIEP/74o3RfQEAArK2t4eDgADc3Nzx//lxgUvW2/9Z+/H3nb/h18RMdhak4GRGR6BCfIpPJ\noMLxWAlzM/4mXAJccG/CPeiW0hUdJ0eq3CZUORsreYgIlist4dvFFx3qdxAdJ0fF1SYSEhJgbGyM\n06dPIzU1Fa6uroiMjIShoSFmzpyJ8PBw7N+/X1g+dfU06SmsVlth59c70da4reg4rBgUpE1wDzVj\n//IN8cXoVqNVtphmjP3P33f+hpZMC+3rtRcdRbhHjx6hdu3aqF+/PgIDA+Hq6gpDQ0MAgJeXFw4d\nOoSXL18KTqleiAjD9g/DUKuhXEyzPOGCmjEA8W/jsfPmToy2GS06CmMsD5aELMEEW80enhUeHo42\nbdrA3d0dmzZtQoUKFRATEwNjY2NpH2NjYxARYmN5FpQvsebyGjxOeoxZ8lmiozA1wRclMgZg1aVV\n6N2oN6qVqyY6CmMsF5Hxkbj6+Cr29NsjOopQzZs3x4ULF3D37l24uLhg48aNAPBFf7L29vaW/i+X\nyyGXyws5pfqJfhGNGSdnINgrmOc2L+GCgoIQFBRUKMfiMdRM471Pfw8TPxMcG3QMltUtRcf5LFVu\nE6qcjZUsIw+MRI0KNeAt9xYd5bOKs00MGDAAlStXhra2Nl6/fo3AwMwp3m7fvo2GDRsiPj4e+vrK\nK79ym80uLSMNbf3bwqOZB8a0HiM6DitmPIaasQJYe2UtWtZoqfLFNGMMePD6AXZF7sL3Nt+LjiLM\nvXv30Lfv/5ZZf/XqFUJDQ9GgQQN4eHjg8OHDiI+PBwD4+/ujW7du2YpplrN5wfNQRbeKRr+/WP7w\nkA+m0VLSU/DLmV80/k/HjKmLn0//jOEth6NquaqiowhTo0YN1K1bF23btoVMJkN8fDx69uyJcePG\nQUdHB4sWLULnzp2hp6cHAwMDrF/Py2XnRcjDEKy+vBpXRl7R6LH5LH94yAfTaL9d+A3H7hzDgW8O\niI6SJ6rcJlQ5GysZ7ifcR8s1LXFrzC0YljUUHSdXqt4mVD1fcUpKTUKL1S3g08EHvRv3Fh2HCVKQ\nNsEFNdNYyWnJMP3NFPv774d1TWvRcfJElduEKmdjJcOIAyNgWNYQP7f/WXSUPFH1NqHq+YrTiAMj\nkKZIg7+bv+goTKCCtAke8sE01urLq9GqZiu1KaYZ02R3X93F7sjdiB4TLToKK2GyVkMMGxUmOgpT\nY1xQM430Lu0dfM764K8Bf4mOwhjLg/mn5+O7Vt/BoKyB6CisBHma9BQjD47Ezq93omKZiqLjMDXG\nBTXTSKsurYJdbTu0qNFCdBTGWC5uv7yNvVF7ETM2RnQUVoLwaoisMHFBzTTO29S3WHRuEY4OOio6\nCmMsD+adnofvbb5HFb0qoqOwEiRrNcQ/+/0pOgorAbigZhpn5aWVcKjjgGbVm4mOwhjLRezLWBy4\ndQCx43jpbFZ4eDVEVti4oGYaJSk1CYvOLcKJwSdER2GM5cHc4LkY12YcKutWFh2FlRBpGWkY9Ocg\nzGo3C42rNhYdh5UQXFAzjfJ76O+Qm8hhUc1CdBTGWC6iX0Tjr5i/EDuWe6dZ4ZkXPA/6evq8GiIr\nVFxQM43x5v0bLD6/GEFeQaKjMMbyYG7wXIxvMx6VdCuJjsJKCF4NkRUVLdEBGCsuy0OXo3399mhS\ntYnoKIyxXEQ9j8LR2KMY12ac6CishEhKTYLHHg+s6LYCNSvUFB2HlTC8UiLTCInvE2G6zBTBQ4LR\nyLCR6Dj5psptQpWzMfUzYPcAWFazxDTHaaKj5JuqtwlVz1fYeDVElhteKZGxXCy7sAydGnRS62Ka\nMU1xM/4mTtw9gdXdV4uOwkoIXg2RFTUuqFmJ9zrlNfwu+OHs0LOiozDG8mDOqTmYZDsJFcpUEB2F\nlQC8GiLLi/j4gj2+UMZQnz59GqVKlUJwcLC0LSAgANbW1nBwcICbmxueP38u3RcfHw83Nzc4ODjA\n2toagYGBhRGDsRz5XfBDV9OuaGjQUHQUlcDtlamyiGcROHnvJL5vzTMwsILj1RBZbt6/B379FWhS\nwMurClxQv3jxAgsXLoSRkZG07eLFi5gyZQqOHj2Ks2fPolmzZhg6dKh0/5AhQ9C8eXOcPXsWR44c\nweTJk3H58uWCRmEsm4SUBCy7sAwznWaKjqISuL0yVTf71Gz8x/4/KF+6vOgorATIWg1xlnyW6ChM\nxRABe/YATZsCp04BZ84U7HgFLqjHjh2LJUuWQEdHR9oWGBgIV1dXGBoaAgC8vLxw6NAhvHz5EvHx\n8Th8+DCGDBkCAKhatSq6du3KvV6sSPiG+KKHeQ+YGZiJjqISuL0yVXbt6TWciTuD0a1Gi47CSoDo\nF9GY/s90bOq1iVdDZEquXgWcnYGffgJWrgQOHADMzQt2zAIV1EuXLkXXrl1hZqZcrMTExMDY2Fi6\nbWxsDCJCbGwsYmNjQURK99epUwfR0dEFicJYNq+SX2F56HLMcJwhOopK4PbKVF1W73S50uVER2Fq\nLms1RG+5N6+GyCSPHwNDhwJduwLffJNZWHfsWDjHzndBffnyZURERMDDw0PapknT7zDV53PWB+6N\n3NFAv4HoKMJxe2Wq7uKjizj/4DxGtRolOgorAeYFz4NBWQNeDZEBAJKTgXnzAAsLoGpV4NYtYORI\noFQhTs2R70Pt2LEDkZGRcHZ2BgA8efIEEyZMQKNGjWBmZob79+9L+8bFxUEmk8HU1BQZGRmQyWS4\nf/8+6tevL93fsGHOF4x5e3tL/5fL5ZDL5fmNzDRI7MtYrL2yFtdGXxMdpUCCgoIQFBRU4ONwe2Wq\nTEEKjDsyDvNd5qOsTlnRcfKtsNorK5is1RCvjrzKqyFqOCJg61Zg2jSgdWvg4kXg34+yoniywmFi\nYkKnTp0iIqILFy6QoaEhPXv2jIiIpk+fTj169JD27datG82YMYOIiJ4+fUqGhoZ08eLFbMcsxHhM\nw/Tc2pMWnF4gOkahK6w2we2VqZLAsECyWWNDGYoM0VEKlaq3CVXPlx9v3r+hBn4NaPfN3aKjMMHO\nnSNq04bI2pooODhvjylImyhwZ3dsbCx8fX3x6tUr+Pr64sGDBxg4cCAWLVqEzp07Q09PDwYGBli/\nfr30GH9/fwwbNgwODg5ITk7Gr7/+ilatWhU0CmMAgKOxR3Ez/iZ2fLVDdBSVw+2VqZo3799g6omp\n2N13N7RkhTKTK9NgE49MhGNdR/Ru3Ft0FCbI/fvA1KnA6dPA/PmAhwegVQynFl56nJUoaRlpaLaq\nGRZ2WIge5j1Exyl0qtwmVDkbU11T/56K/3vzfwjsVfJmjlH1NqHq+b7U/lv7MeHIBISNCuMFXDRQ\nUhKwYEHmrB1jxgA//ACU+8Lrm3npccb+tTx0OepWqovuDbuLjsIYy0VJudaBicerIWqujAwgIACY\nORNwcQHCw4HatYs/BxfUrMR49vYZfj7zM04POc0XojCmBiYdnYT/2P8HNSvUFB2FqTHi1RA1kkIB\n7NwJeHsDBgaZi7S0bi0uDxfUrMSYfmI6PJp5oJFhI9FRGGO5OBp7FJHPI7Hz652iozA1t/ryajxO\neow/+/0pOgorBgoF8OefmYV0+fKAry/QqRMguh+NC2pWIlz+v8s4GHMQkd9Hio7CGMtFWkYaJhyd\ngCWdlqBMqTKi4zA1Fv0iGjP+mYHTQ07zaoglHBGwbx8waxagowMsXJi5QIvoQjoLF9RM7RERxh8Z\nj7nOc1FZt7LoOIyxXPC1Dqww8GqImoEIOHQos5BWKIC5c4EePVSnkM7CBTVTe1sjtiI5PRlDrIaI\njsIYywVf68AKC6+GWLIRAUeOZBbSKSnA7NmAm1vxTIGXH1xQM7X2NvUt/vv3f7GtzzZoa2mLjsMY\nywVf61BwqampmDt3LoKDg5GRkYE3b95g+vTp6Nu3LwDAx8cHO3bsgI6ODszNzbF69Wro6uoKTl24\nzj84z6shllBEwN9/Az/9BCQmZo6V7tNHdQvpLFxQM7X2y5lf4FTXCQ7GDqKjMMZywdc6FI64uDhc\nunQJp06dAgD8/fff6Nq1K+zt7RESEoL169cjPDwcurq68PDwwA8//IBly5YJTl14klKT4LHHAyu6\nrUCNCjVEx2GF6OTJzEI6Pj6zkP76a0BbTfrKeGEXprbuvLqD1n+0RviocNSqWEt0nGKhym1ClbMx\n8Xv9R+gAACAASURBVIgIjv6O8LLywrctvxUdp1gUV5t49+4dypcvj2vXrmHatGlo2bIlZs+eDQD4\n559/0Lt3byQkJAjLV9iG7x+OdEqHv5u/6CiskAQHZxbSjx5lDvH45hsxhXRB2oSKd6Az9mlTjk3B\nJLtJGlNMM6bO+FqHorN371507twZFhYWiImJgbGxsXRfnTp1kJiYiGfPnglMWHj239qPE3dPwK+L\nn+gorBCcPQt06AAMGZL5LzISGDRIfXqlP8RDPpha+vvO3wh/Go4tfbaIjsIYy0VSahJf61BErl+/\njoCAAGzfvj1fj/f29pb+L5fLIZfLCydYEXiS9AQjD47Erq938WqIai4kJLMn+tatzBUOBw/OnAqv\nuAUFBSEoKKhQjsVDPpjaSctIg9VqK8x3mQ/3Ru6i4xQrVW4TqpyNiTX9xHTce30Pm3tvFh2lWBV1\nmzh37hwWL16MgIAAlC9fHgDQo0cPtGjRAnPmzAEAnDhxAn369FH7IR9EhO5bu8OquhXmt58vOg7L\np0uXMgvp69eB6dMze6VLq9D04Tzkg2mUlZdWomaFmnAzdxMdhTGWizuv7mDV5VXw6eAjOkqJcvDg\nQSxfvhxbtmxB+fLlsX37dpw/fx6enp7Yvn07kpOTAQD+/v4YPHiw4LQFt/ryajxJeoJZ8lmio7B8\nuHoV6NkTcHcHunUDYmKAkSNVq5guKB7ywdRK3Os4zAuehyCvIJ4qiTEVR0QYfWg0pthNQe2KtUXH\nKTFu3LiB3r17o0qVKjAxMQEApKSkYN++ffjqq68QGxsLBwcHadq8hQsXig1cQLwaovq6di1zto6Q\nEGDqVGDHDqCEzeAo4SEfTG0oSIHOmzrD2cQZPzr+KDqOEKrcJlQ5GxNj1aVVWHd1Hc4PO49SWprX\nf6PqbULV8wGZQ/wc1jvAs7knvm/NC7ioixs3MhdiOX0a+OEHYNQoQE9PdKrc8ZAPphFWXVqFxPeJ\n+MHhB9FRGGO5uPPqDmb8MwMB7gEaWUyzwpG1GuJ3Nt+JjsLyICoqc8o7FxfAxgaIjQUmTlSPYrqg\n+CzH1MLtl7cxK2gWTg85zR/OjKk4BSngtdcL09pOQ5OqTUTHYWrq9P3TvBqimoiJAebMAY4eBSZN\nAv74A/j3OlmNwT3UTOVlKDLgtc8L0x2n83LFjKkBvxA/EAgTbCeIjsLUVPD9YPTZ0QcB7gG8GqIK\nu3Mnc6YOe3vA3DyzR3rqVM0rpgHuoWZqwDfEF9oybYxrM050FMZYLiLjIzH/9Hxc+PYCzznN8uXY\n7WMY9OcgbO2zFe3rtxcdh+Xg5k1g8WJg3z5g7NjMHurKlUWnEosLaqbSbsbfxC9nfkHo8FBoyfgP\nKoypsnRFOjz3emKu81w00G8gOg5TQ/ui9mH4geHY028PHIwdRMdhHyACTpzILKTDwoDvvssspKtU\nEZ1MNXBBzVRWWkYaPPd6Yr7LfNSvUl90HMZYLnzO+KCybmWMajVKdBSmhrZFbMOEIxPw18C/0Kpm\nK9Fx2L/evwe2bQOWLAEyMjLHSO/ZU3Knv8svLqiZylpwZgH09fQxwnqE6CiMsVyEPwmH7wVfXBlx\nhS8gY1/M/6o/ZpycgeMex2FZ3VJ0HAbgxQtg9Wpg+XLAwgJYuBDo1Ang5p0zLqiZSrr6+Cp+C/0N\nV0byhzNjqi41IxWD9w7Goo6LUKdSHdFxmJr5PfR3+Jz1wUnPk2ho0FB0HI0XEwP4+gJbtmSubHj0\nKGDJ33FyxQU1Uznv099j8N7BWNxpMa+uxpgamHNqDupWqgvP5p6iozA1s+jsIqy6vArBQ4JhUtlE\ndByNRZS5CMuSJcDZs5nLgt+8CdTgCVbyjAtqpnK8g7zRoEoDDGo2SHQUxlguLjy8gD+u/IHwUeH8\n1ySWZ0SE2admY1vENgR7BaNWxVqiI2mktDRg167MQvr168xFWLZsAcqWFZ1M/XBBzVTK+Qfn4R/m\nzx/OjKmB5LRkeO71xG9df4NReSPRcZiaICL8cPwHHLtzDKe8TqF6+eqiI2mc168zF19ZtgyoXx+Y\nORPo3h3Q4sm08o0LaqYy3qW9g+deTyx3Xc4nWMbUwPR/psPKyAp9m/YVHeX/27vzuKjq9Q/gHzbF\nDRAVN8CF7aqAImGgIuByFfUmKlYuKOXSvVkudf39SsMfZmVqm3Ut9WphmhFgYi6YiKKZueCC4BKg\niSuLIIvAsMw8vz++zQCJiDDMOQPP+77OC5mhmc89zDPn4cz3+z1MT6hIhdf3v44zd8/gyKwjsGxl\nKXWkZuXGDWDdOmDrVsDfH/jxR+AZXlBFK7ihZrLx9qG38Uy3ZxDYN1DqKIyxJzh64yjCk8OR9K8k\nqaMwPaFUKTFnzxyk5abh0MxDMGtpJnWkZuPUKbF+dFwc8PLLQGIiYMPzh7WKG2omCzGpMYi6EsUH\nZ8b0QE5xDoJ3B2Pj+I3o0LqD1HGYHihXliNoVxBySnJwYPoBtGnRRupITZ5SKa5k+MknwJ07wMKF\nwJYtQLt2UidrmrihZpJLzUnFrOhZ2Pn8Tv74jzGZq1BV4IWoFxDYJxD/cPqH1HGYHlBUKPB8pBgW\ntGfqHpga8xVBGtPDh8A334il7zp1At58E5g4ETDmjq9R8e5lkiosLUTADwFY4bsC3j28pY7DGHuC\ntw69BUMDQ6wauUrqKEwPFJcXIyA8ABamFvhu0ncwMTKROlKTdecO8MUXwObNgK8vsG0bMHiw1Kma\nD57PySRDRAjeHQwvay++VDFjemBH0g7suroL4YHhMDbk8zGsdgWlBRizfQy6teuGHZN3cDPdSC5c\nAIKCxMVXSkqA06fFUnjcTOsWN9RMMh/88gHuFt7F+rHreYk8xmTu/L3zWHhgIXa9sIuHZrEnyi3J\nxchvR8LZyhlfT/ia/wDTMpUK2LcPGD5cLHfn4gJcuyZW8OjdW+p0zRO/wpkk9qXsw5cJX+LM3DNo\nadxS6jiMsVpkF2Vj4g8TsX7serh2dpU6DpO5rKIsjNo2CqN6j8LaUWv5hIkWFRcD27cDn34KmJqK\n8dHPPw+0aCF1MsYNNdO5lJwUvLT7JUS/GI1u7bpJHYcxVgv1JMQXnV/k9abZE90puIOR20bihX4v\n4P98/o+baS0gAs6eFWOjIyKAIUOAL78U46R598oHN9RMpwpKCxAQHoD3hr+HwTY8wIsxuVtycAla\nGLXA+8PflzoKk7kbeTcw4tsReMX9FfzPkP+ROo7ey80VZ6O3bAEKC8X60RcvAtbWUidjNan3GOqy\nsjKEhITAx8cHQ4cORf/+/REREaG5f/Xq1XB3d4enpydmzZoFhUKhuS8tLQ3Dhw/HsGHD4OHhgZ9/\n/rlh/y+YXlCRCjN3zYS3rTfmuc+TOk6zwvXK6mNb4jbsSdmD7yd/DyNDI6njMBlLyUmBT5gPFnsu\n5ma6AVQq4NAhYOpUMRb65EmxjnRaGvDOO9xMyxrVU2pqKo0ZM0bzfWxsLBkbG9OtW7coMjKSHB0d\nqaSkhIiIZsyYQa+//joREalUKnJxcaEtW7YQEdHVq1fJzMyMbt++/chzNCAek6EV8Sto8JbBpChX\nSB1Fb9W3Jrhe2dNKuJNAHdd0pKTMJKmj6C2514S28iVlJlG3j7vRlnNbtPJ4zdHNm0QrVhD17EnU\nvz/RF18Q5eRInar5aUhNaK3ai4qKyMDAgJKSkmj8+PG0fPlyzX1xcXFkbm5OREQJCQlkYmJCpaWl\nmvu9vb3pk08+eTSczN+MWN3tvrqbun/cne4W3JU6il7TVk1wvbLaZD7MJNtPbSnqUpTUUfSa3GtC\nG/kS7iRQ57WdacfFHVpI1LyUlhJFRhKNGUNkaUn0r38RJSQQqVRSJ2u+GlITWls2Lzo6GqNHj4az\nszNSU1Nha2uruc/GxgYFBQXIyspCSkoKrKys0KLKlFRbW1ukpKRoKwqTmav3r2LOT3MQ9XwUurbr\nKnUcBq5X9njlynJMiZyCINcgTO47Weo4TMZO3DqBsTvGYuP4jZjqMlXqOHrj8mWxOoe1NfCf/wDT\npgG3bomJhu7uPNFQX2llUmJSUhK2bt2KH374od6P8biZwKGhoZp/+/r6wtfXt97PwXQvX5GPgPAA\nrBqxCp7WnlLH0Tvx8fGIj4/X6mNyvbLavHnwTbRt0RYrfFdIHUXvNEa9ytXhPw7jxagXsW3iNoy2\nHy11HNkrLAR++EFMMExPB4KDgRMnAHt7qZMxbWlwQ33ixAl8/PHH2LlzJ9q2bQsAcHBwQHp6uuZn\nbt68CTMzM1hZWcHBwQFZWVkoKyvTnPVKT0/HpEmTanz8qgdopl8UFQoERgZiRK8RmD1wttRx9NJf\nm9IVKxrW5HC9stp8fupzHEg7gNNzT/MkxHrQdr3K1f7U/QiODkbklEj49PSROo5sEQG//Saa6B9/\nBHx8gKVLAX9/wJjXWGt6GjLWZM+ePTR16lRSKMQks/DwcDpx4oRmklNxcTEREU2fPr3aJCdnZ2fa\nvHkzERFduXKF2rVrx5OcmpjSilIav2M8PR/5PJUry6WO02Q0pCa4XlltNiZsJNtPbemPB39IHaXJ\nkHtN1Cdf1KUoslprRb/d+q0REjUNmZlEH31E1KcPkYMD0YcfEt3l6UN6oSE1a/DnAzy1S5cuwc3N\nDe3bt4ehoRiKrVAosHv3bgwbNgwffvghIiIiYGJiAicnJ2zatAmmpqYAxDJcc+fORUVFBUpKSrBy\n5Ur4+/s/8hwGBgaoZzwmoQpVBabunIoyZRmipkTBxMhE6khNRn1rguuV1WZb4ja8Hfc2jsw6AocO\nDlLHaTIasyZUKhW++uorhIaGIioqCj4+lWeKV69eXa2eN27cqKnnhuTbfnE7lsQuQcz0GAzoMkAr\n/z+aCqUSOHhQXHwlLg6YMAGYPRvw9uYx0fqkITVb74ZaF/gArX9UpMKs6FnIKsrCTy/+xJcV1zI5\n14Scs7HHi7wUiQUHFiBuZhz6duordZwmpTFrYuPGjbCzs8PcuXOxdetWDBs2DAAQFRWFZcuWITEx\nEaampggKCkL79u3x+eefNyjfprOb8O7Rd3Ew6CC/Tqr44w/g66+BsDCga1fRRL/4ImBuLnUyVh8N\nqVkexcO0hojwz73/xK38W9g/fT8304zJ3J7f9+C1mNfw84yfuUnSM6+88kqNt2/duhUvvvii5oz0\nSy+9hEmTJtXYUNfVZyc/w2cnP0N8cDzsLXkWnUIB7NolzkYnJgLTpwP79gGurlInY1LihpppBRFh\n0YFFSM5Kxs8zfkZrk9ZSR2KM1SL2Wixm/zQbe6ft5Y/vm5DU1FQEBARovq+6DKaVldVTP977x95H\nWGIYjr10DLbmtk/+D5qwxETRRH//PeDmBsydCwQEADWMpmHNEDfUrMGICG/HvY3jt44jbmYc2rVs\nJ3UkxlgtjqUfw7Qfp2HXC7swqPsgqeMwGSIivHP4HUT/Ho1jwcea7TUE0tKAnTuBiAggKwt4+WUg\nIQHo2VPqZExuuKFmDbby2ErsS92H+FnxsDC1kDoOY6wWJ2+fRGBEIMInh2Oo7VCp4zAtq20ZzJrU\ntHY8EWHxz4txLP0YjgYfRcfWHRs7tqz8/jsQFSW2u3eBSZOA1asBPz/AiFeTbFK0uXY8T0pkDbL2\n17XYcn4LjgYfRee2naWO0+TJuSbknI0J5+6dw5jtYxAWEIaxDmOljtPk6aImevXqhbCwMM0qH+pJ\niRcuXECrVq0wY8YMWFpa1nlSYkl5CV6PeR2Xsi8hZnpMszhJQiSuXqhuonNygMmTgcBAYOhQbqKb\nE56UyCSx/vR6bDi7gZtpxvTApaxLGLdjHDaM38DNdBNw+vRpbNu2DQ8ePMC6deuQmJiIBQsWIDAw\nEGlpaRgyZIhm2bw1a9Y88fGICDuv7MS/D/4bg7oPwsEZB5v08D0i4OLFyib64UPRQG/YAHh5AX+u\nLspYnfEZalYvX5//GqHxoTgafBS92veSOk6zIeeakHO25i4lJwV+W/2wdtRaTHOZJnWcZkPuNaHO\ndzHzIhYeWIic4hysG7MOfr38pI7WKIiAc+cqm+iKCtFEBwYCHh7cRDM+Q810iIjw4fEP8VXCVzg0\n8xA304zJ3IlbJzA5YjI+GP4BN9PsEa/uexU7r+xEqE8o5rrPhbFh02oLiIDTpyubaCMjYMoUIDwc\nGDiQL7rCtKdpVQ5rVGXKMszbMw/JWck4OeckurXrJnUkxlgtvk/6HgsPLMTWgK3wd3j06paMGRkY\n4cr8K7BsZSl1FK1RqYDffhMN9M6dQOvWoomOjhZrRXMTzRoDD/lgdZJTnIPJEZPRvlV7bJ+4HW1a\ntJE6UrMk55qQc7bmhojw7tF38c2Fb7Bn6h64dHaROlKzJPeakHu+p6FUAsePVzbRHTpUDufo25eb\naFY3POSDNarUnFSM2zEOAX8LwIcjP4ShAQ80Y0yuFBUKzPlpDlJzU3Fyzkl0adtF6kiMNYqKCuDo\nUdFE79olLv0dGAgcPgz87W9Sp2PNDTfUrFZHbxzFC1EvYKXfSsx1nyt1HMZYLbKLsjHxh4no1q4b\n4mfFo5VJK6kjMaZV5eWiYY6KEkM4evYUTfTx44A9XxWdSYgbavZYYRfC8L+H/hc7Ju3AiN4jpI7D\nGKvF1ftXMX7HeLzQ7wWsHL6SP0liTUZpKXDokGiif/oJcHQUTfSZM3zFQiYfPIaaPUJFKoQcDkH4\npXDsnboXfTr1kToS+5Oca0LO2Zq6uOtxmPbjNKweuRrBA4KljsP+JPeakHO+nBwgLg7YswfYuxdw\ndhZN9KRJgI2N1OlYU8VjqJnWlJSXYGb0TNwrvIeTs0+iU5tOUkdijNVi87nNeOfwO4gIjIBPTx+p\n4zBWLwoF8OuvQGys2FJTAW9vwN9fXPa7Gy8qxWSOG2qmcafgDiZFTIK9pT0OzTwEU2NTqSMxxh6j\nXFmOpXFLsfv33Tj20jE4dnCUOhJjdaZSiSsVxsaK4RwnTgD9+gGjRgGffgp4egItWkidkrG64yEf\nDESE75K+wxs/v4HFnovx1tC3YMBrDMmOUgkYG8u3Jrhededy9mXM3DUTndp0wvaJ29GhdQepI7Ea\nyL0mdJ3v1q3KM9BxcYC5uWigR40C/PwACwudRWGsRjzkg9VbdlE2/rnvn/j9/u+ImR4D927uUkdi\nf8rJAU6dEhcoOHlSXO2LNW9KlRKfnvwUq39djfeHv4+5A+fyH78yUVoKnD9fWa8nT0qdSHr5+UB8\nfGUTnZMDjBghGuhVq3hCIWta+Ax1MxZ9NRr/2vcvzHSdiRV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oPENoaCi8vLzg5+cHPz8/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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d27b3b10>"
]
}
],
"prompt_number": 59
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Axis grid"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axes = plt.subplots(1, 2, figsize=(10,3))\n",
"\n",
"# default grid appearance\n",
"axes[0].plot(x, x**2, x, x**3, lw=2)\n",
"axes[0].grid(True)\n",
"\n",
"# custom grid appearance\n",
"axes[1].plot(x, x**2, x, x**3, lw=2)\n",
"axes[1].grid(color='b', alpha=0.5, linestyle='dashed', linewidth=0.5)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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09SPm7J+Du4s7q/qvIsAjQOuQSgWpX0IU38ELB+mzqA8GZWBs2FhGhI7QOiSH\nUuxGbNSoUUyePBlXV1fzbXPnzqVr1654e5vOIzV06FBWr17NpUuXSE5OJjo6mmHDhgHg4+NDly5d\ndP+pUi9jePSSB9hPLj/+70fe3vQ2Tjjx02M/0aJWiyJvw15ycTRSv4QonrNXz9J1fleuZl+lb1Bf\nPvrPR1qH5HCK1YhNmTKFLl26UL9+/nNGxcfH4+/vb77u7++PUoqEhAQSEhJQSuW738/Pj7i4uOKE\nIoRDWhO/hqd+MR1tmdp5KhENIzSOqPSQ+iVE8aRcT6HzD51JTEuktV9ronpG4ewkQ8+LyuKJPfbs\n2cOhQ4eYPXu2+baSOK/a0KFDCfjnC2QPDw9CQkLM42HyjgI4wvX27dvbVTzFuZ7HXuKx9HrebVo9\n/39/+C/jN40n1z+XV1q+QtOMphbH48j/v/Iun7Dh9Nq2q18TzZdDQtoTEtKegICCx8ScOFHwDOOy\nvqxvj+unZqby8rrX+Vul0bB+Q1b0W4Gbi5vDxG+t9WNiYoiJieHKFbhy5db1C8Pik36PHTuWrVu3\nUq5cOQB27txJw4YNadiwId7e3qSmppoP1x8/fpwGDRqQnJyMwWCgevXqxMfHU7duXQAGDRqEp6cn\n06ZNyx+cnDRX6NSa+DX0WtiLbEM2Lz7wIlM7T5VZp/9hi/1e6lfRnDihnwHVeslFyzxSrqfQMaoj\nB5MO0tC7Ib8N/o0alWpYvD29vCZg4X6vrCQgIEBt3rxZKaXUH3/8oby9vVVSUpJSSqm33npLPfro\no+Z1u3Xrpt5++22llFIXLlxQ3t7eavfu3bds04rhaW7Tpk1ah2AVeslDKe1yWR23WpV9v6xiIurF\nNS8qo9FY7G3q6XXRYr+X+nVnOvrvpZtctMojOT1ZNZnZRDER1XBGQ3U27Wyxt6mX10Qpy/b7Yp9z\nICEhgalTp3L58mWmTp3K6dOnefLJJ/n000955JFHcHd3x8vLizlz5pgfExkZydNPP01YWBgZGRl8\n9tln3H///cUNRQi7J0fC7IvULyEKz9pHwoSJxV9N2oKeDu0LIU1Y4ehlv9dLHgAxMaCXqer0kout\n8yjJJkwvrwlYtt/LzxuEsAFpwoQQjkqOhJUsacRs5OZfHDoqveQBtsvFFk2Ynl4XIYT9kCas5Ekj\nJkQJkiNhQg/08os20E8utsjDVk2YXl4TS8kYMSFKiDRhltHLfq+XPETpJEfCLCNjxISwE9KECSEc\nlTRhtiUJ+QDtAAAeH0lEQVSNmI3oZQyPXvKAkstFiyZMT6+LEEI70oTZnjRiQliRHAkTQjgqacK0\nIWPEhLCSZUeX0W9pP2nCikkv+71e8hClw5m0M3T5sYs0YcUkY8SE0IBSis+3f85jix6TJkzokg3P\nx17i9JKLNfPYf34/D373oGZNmF5eE0tJI2YjehnDo5c8wDq55BpzeW71c4zZMAaF4qOOH2nShOnp\ndRH2R09vlHrJxVp5rI5bTficcM5cPUO4fzhbh221+ZEwvbwmlir2uSaFKK3SstLou7gv646vo1yZ\nckT1jOKJxk9oHZYQQhTKjF0zGL12NEZl5MkmTzK7x2zKuZTTOqxSRxoxG2mvkxNp6SUPKF4up1JP\n0X1+dw4mHcS7vDcr+q2gtV9r6wVXRHp6XYQQJctgNPDq+leZ9sc0AN5p9w7vtHtHhlNoRBoxIYro\nz7N/8uhPj3L+2nkaejdk9YDV1K1aV+uwhBDirq5lX2PA0gGsjFuJq7Mrs3vMZlDwIK3DKtVkjJiN\n6GUMj17yAMtyWR67nLaRbTl/7TwdAjqw/antdtGE6el1EUKUjLNXz9I2si0r41ZS1a0qGwZtkCbM\nDsgRMSEKQSnF5B2TeW3DaygUQ0OG8k33byhbpqzWoQlR4vR0LkC95FLUPA6cP0D3n7qTmJZIPc96\nrB6wmgZeDUoktqLSy2tiKZlHTIi7yDXmMmrNKL7e8zUAH3b8kDfC35DxFCVEL/u9XvIQjm9N/Bqe\nWPIE17KvEe4fzrInluFd3lvrsHTJkv1ejogJcQfyy0ghhCP7cteXvLj2RYzKyIAmA5jTY478MtLO\nyBgxG9HLGB695AF3z+VU6inC54Sz7vg6vMt789uQ3+y2CdPT6yKEKD6D0cBLa1/ihegXMCojE9pO\n4IdeP0gTZofkiJgQBdh9Zjc9FvTg/LXzBHoFsnrAau71vFfrsIQQ4q5u/mXkdz2+Y3DwYK3DErch\nY8SEuIFSiml/TGPsxrFkG7JpH9Cen/v+TFX3qlqHVmroZb/XSx7Csew9t5d+S/oRfymeqm5VWfbE\nMtoFtNM6rFJDzjUpRDEkpyfT/afuvLzuZbIN2Twb+izrBq6TJkyUeno6BY1ecrk5D6MyMnnHZFp+\n15L4S/E09m3Mjqd3OEQTppfXxFLSiNmIXsbw6CUPyJ/Lxr820vTrpqyJX0NVt6os7buUr7p/5TDT\nU+jpdRH2R09vlHrJ5cY8Lly7QLf53Xh1/avkGHN4vsXz7HpmF4HegZrFVxR6eU0sJWPERKmWY8hh\n/KbxfLLtExSKNv5t+LH3j/hV8dM6NCGEuKv1x9czeNlgLqRfwNPdkzk95hDRMELrsEQRSCNmI3o5\nF6Be8gDwa+pHeGQ4u87swtnJmYntJvJWm7co41xG69CKTE+vixDi7nIMOby+4S0+3f4pAO0D2jOv\n1zxqV66tcWSiqCz+ajI7O5vx48fTrl07wsPDCQ4OZtGiReb7J02aRGhoKC1btmTIkCFkZmaa70tI\nSKBjx460bduWFi1asG7duuJlIUQR/fi/H2n2TTN2ndmFfxV/Ng/dzIR2ExyyCRNFJ/VLOLL4i/G8\nEP0Cn27/lDJOZfigwwdsHLRRmjBHpSwUHx+vOnfubL6+YcMG5eLiok6fPq0WL16sGjRooDIyMpRS\nSg0cOFCNGjVKKaWU0WhUTZo0UbNnz1ZKKRUbG6sqV66sEhMTb3mOYoRndzZt2qR1CFbh6HmkZaap\nwcsGKyaiGILqs6iPunT9ktZhFZujvy43ssV+L/WraHT038vhc5m7f66q+FFFxZB2qs6UOmrbqW1a\nh1Rsjv6a3MiS/d7iI2L16tUjOjrafL1169YYDAauXLlCVFQU/fr1w83NDYBhw4Yxd+5cAPbu3Uts\nbCwDBw4EIDAw8JZPo0KUhD1n99D82+bMPTAXdxd3xrQew6I+i+RXkaWQ1K+i0dO5AB01l7SsNAYt\nG8Tg5YO5ln2Nbg80Zv+z+2nt11rr0IrNUV8Ta7HaGLHly5fzyCOP0LhxY+Lj4+nZs6f5Pj8/P9LS\n0khKSiIuLg5fX1/Klv3312j+/v7ExcVZKxS7pJcxPI6Yh1EZmbJjCm/8+gY5xhyaVmvKgscWcJ/P\nfVqHZjWO+LrYE6lfd6anN0pHzGX3md30X9qf45ePU961PNO7TGdYyDDdnO/WEV8Ta7JKI3bw4EGi\noqJYuHChxdu43X+ooUOHEvDPq+Th4UFISIj5TSfvJ/tyXa7f7vr5a+eJvBLJ+uPr4W/odV8v5j8z\nHzcXN7uIT65jvnxCo9+wl2z9mmi+HBLSnpCQ9gQEFPzGc+JEwT/jl/VL7/rxx3NYcGgB3x/4HqOx\nNvd6tuebgW/wn2a3nuXDHuMvDevHxMQQExPDlStw5cqt6xdKcb8P3bZtm+rdu7e6evWq+bbu3bur\n8ePHm69v3LhRValSRSml1O7du5Wrq6vKysoy3x8eHq4mT558y7atEJ7d0MsYHkfJIzMnU32w+QPl\n/oG7YiLKa5KX+iX2l3zrOEouhaGnXGy530v9EvZq4/GNKnB6oGk860TU6OjRKiMnQ+uwxF1Yst8X\na0LXVatWMWPGDObPn0/FihVZuHAhO3bsYMiQISxcuJCMjAwAIiMjGTzYdJ6r0NBQAgMDmTdvHgCx\nsbEcOHCAvn37FicUIcw2HN9A06+b8vamt8nIzaB/4/4c/L+DPBr4qNahCTsi9UvYozNpZ+i3pB8P\nzXuIYxeP0cCrARsGbWBq56m4ubhpHZ4oARafa/Lw4cM0a9aMqlWr4uxs6ucyMzNZsWIFbdu25b//\n/S+LFi3C1dWVwMBAvv32W/Pg14SEBIYPH05ubi4ZGRm8//77dOnS5dbg5FxtoggS0xJ5Zd0rLD6y\nGICG3g35suuXdLyno8aRiaKwxX4v9UvYmxxDDtN3TeedmHe4ln0Ndxd33m77Nq+2epVyLuW0Dk8U\nkiX7vZz0Wzi8HEMOU3dO5d3N75Kek0551/JMaDuBl1u97DCnKBL/0st+r5c8wDRWRi8Dqu0xl60n\nt/Lcmuc4lHQIgJ4NezLlkSkEeATc9jH2mIel9JSLnPTbjt04MNmR2Vsem09sJuSbEF7f+DrpOek8\ndt9jHH3+KGPDx961CbO3XIpDT7kI+6OncwHaUy4Xrl1gyPIhtP2+LYeSDlG3al1W9V/FsieW3bEJ\nA/vKo7j0lIsl5BRHwiGdv3aeMevH8OPBHwGo51mP6V2m07leZ40jE0KIOzMYDXz959e89dtbpGal\nUq5MOcaFj2Ns2FjcXd21Dk/YmDRiNqKXeZ60ziPXmMvM3TMZv2k8aVlpuLm48Wb4m7wW9lqRB7Jq\nnYs16SkXIfRsZ+JOnlv9HPvO7wOgS70ufNHlC+p51tM4MqEVacSEQ1BK8evfv/LahtfYf34/AN0b\ndGda52nUrVpX4+iEEOLOTqee5t3N7zJ732wA/Cr7Ma3zNHo27KmbiVmFZWSMmI3oZQyPrfNQSrEu\nYR1hc8LoNK8T+8/vp06VOqzot4KV/VcWqwnTy2sC+spFCD05eeUkz656lnu/uJfZ+2bj6uzKuLBx\nHH3+KL3u6yVNmJAjYsI+KaVYm7CWdze/yx9n/gDAy92LV1u9yuiWoynvWl7jCIUoPfTyizawXS4n\nrpzgo60f8f3+78kx5uCEE/0a92Niu4kEegcWe/vymuiHTF8h7IpSijXxa3h387vsPrsbAO/y3rzW\n+jWea/EcFctW1DhCUdL0st/rJQ9RNH9d/ouPtn5E1IEoco25ODs5079xf95q85auzm8rCmbJfi9H\nxIRdUEqxMm4l721+jz3n9gDgW8GX11q/xv/d/39UKFtB4wiFEOL2Ei4l8NHWj5h7YC4GZcDZyZlB\nTQfxVpu3rHIETOiXjBGzEb2M4bF2HkoplscuJ/TbUCIWRLDn3B6qVajG5w9/zt+j/2ZM6zEl1oTp\n5TUBfeUihCOJvxjPkOVDaDijIZH7IwEYEjyE2OdjmdtrrjRh4q7kiJjQhFEZWR67nPc2v8eBCwcA\nqFGxBmPDxjI8dLiMARNC2LVjKcf4YOsHzD84H6MyUsapDE+FPMWbbd7kXs97tQ5POBAZIyZsKuV6\nCnMPzGXW3lnEpsQCULNSTcaFjeOZ5s/IZIalnFLg7KyP/V7ql/7kGnOJjo9m1t5ZrI5fjVEZcXF2\nYWjwUN5s8yb3VL1H6xCFxmSMmLBLSiliTsTw7d5v+fnoz2QbsgGoXbk248LG8XTzp4s8GatwXOnp\n8PffBS+l/VQn9kpP5wK0JJeTV04ye99s5uybw5mrZwBwdXblmWbP8EabN+56OqKSUNpfE63k5kJi\nonXrlzRiNhITE6OL2c+LkseFaxeIOhDFrL2zSLiUAIATTnSt35URzUfQrUE3XJy1+y+ol9cE7CuX\nzEw4fdpUlAoqVsnJWkcoisqR3ijvprC55BhyWBW3im/3fsu6hHUoTEc56nvWZ0ToCAYHD8a3gm+J\nxnonpfE1sQWjEc6fh5MnC65fp0+bmjFrkkZMWJVRGdn410Zm7Z3F8tjl5BpN/2NrV67N082e5qlm\nT+FfxV/jKEVxpKWZitTtlvPn7/z4smVNRfeeewpevL1tkoYQBfrr8l98t/c7IvdHcv6a6T9z2TJl\n6dOoD8ObD6ddnXYyCasDy8kxHdHKq1cnTuSvX6dPQ3b2nbdRs+bt65clDaU0YjZiL0criut2eZy9\nepbIfZHM3jebv6/8DYCzkzM9AnswvPlwOtfrrOnRr4Lo5TUB6+ViMMC5c3DqlKkg5S03FqrLl++8\nDRcXqF0b6tQpuFDVqAHO8nttYUeyDdksj13OrL2z2PjXRvPt93nfx4jQEQxqOgiv8l4aRigKQylT\nfbqxdp06ZVry6tfZs6ajXnfi7X37+lWnDrhZeSSNfb0zCody8fpFVsevZunRpayOW41BGQDwr+LP\n8ObDGRYyjFqVa2kcpcijFFy8mL/Juvny2bOmZuxO3NxMxShvCQjIf71mTShTxiYpCWGxXGMuW09u\nZXnscn469BPJ103fmbu5uNE3qC/Dmw8nzC9Mjn7ZkevXb1+78i6np995G87O/35QLGjx94cKNp62\nUhoxG7GnMTzFMX/lfC54X2DFsRX8fup3c/NVxqkMvRr2YkToCDrV7UQZZ/t/J9bLawLw668xBAa2\nJzERzpzhtn+zsu6+rWrVTMXIzy//37xC5eMD8t4kHNHVrKtsPrGX2cu+Y3Xcai5n/nt4t7FvY0Y0\nH8HApgOp6l5VwyhLH6Xg0qXb163ERNNy5crdt1Wx4p3rV+3a4Opa8jkVhTRi4o6Mysies3tYcWwF\nK46t4NAfh+CfX2i7OLvw0D0PEREYwWP3PUaNSjW0DVaH8g61nz1rWs6d+/fymTP/Fqlz50zr3k2V\nKv8WpxsLVd7lWrWgXLmSz0s4FnsZSG2Jc1fP8cuxX1hxbAW//v0r2Sk1oOpJAAK9AokIjKD3fb15\noNYDDnX0y1Fek4yM/HXrxiWvfp0+XbgPiWXLmhqpgmpX3uUqVRzvg6LMIyZukZWbxaYTm1gRu4Jf\n4n7h7NWz5vsqla1El/pdiAiMoGv9rni4eWgYqeMyGk2fAM+fNy03N1k3Xi9MgXJyMh3JqlXLVKhu\n/pt32daH3C2hl/1eL3k4GqUUR5KPmD887jqzy3yfE0608mtFRGAEEYERMut9MaSn/1u/ble7zp4t\n3FEsgMqV716/vL3tv8mSecSERYzKyNHko2w7vY1f//6V6PhormZfNd9fq1ItegT2ICIwgvYB7Snn\nIodMbufG4pRXoG68nrdcuFD4n0BXrmwad3XjUqOG6W9ekapRw/4OtwthK8npyWw7vY3NJzazMm4l\nxy8fN9/n5uJGp7qdiAiMoHuD7lSrWE3DSO1bTg4kJRVcs25erl0r3DZdXfPXrBtr2I1NVqVKJZub\nPZNGzEbsaTxSZm4mu8/sZtvpbfx+6ne2n96eb6wEQBPfJqZPjQ0jCK0Raj5kb095FFdhcsnNNQ1w\nT0oyLRcu/Hu5oNuuXy/883t4QPXqpiNZNzdaNxarwhzF0tPrIsSdKKWIuxjH76d+N9ew+Evx+dbx\ncveie4PuRARG8PC9D5fY+WrtnVKm6WYKW78uXSr8tsuVM9WnvBpWq9atHxRr1gRPT/mV9N1II1YK\npFxPYdupbeaitefcHvPs9nlqVapFmH8Ybfzb0LV+V+pWratRtCUrIwNSUkyTiu7ebRqjkHf95r/J\nyaYmrChHmW8sTndaqlWz/k+ghdCjrNws9p7ba268tp3eRsr1lHzruLu407J2S8L8wuh0byda+7W2\nu+lyrCE319Qs5dWp29WuvL9JSXefE+tGzs6mH+PcrX7VqGE6Um/vXxM6ChkjpjOXMy5zOPkwh5MO\ns/vsbn4/9TvHLh7Lt44TTjT2bUy4fzhhfmGE+4fjX8XfoQaqGo2QmmpqlC5eNBWnO13OK0xFOWIF\npkLj5QW+vqbmydf31uXG2ytWlOJUXHrZ7/WShy1l5WYRfymew0mH2X9+P9tOb2PXmV1kGfIPlKxe\nsbq5doX5hRFSPQTXMo7z3bxSplp0t7qVdzmv6bp8uWgfDMFUkwqqVQXVME9PmXqmuGSMWClyKeMS\nh5MOcyT5CIeT//2bNxP0jdxd3Hmw9oPmwtWydku7GGSvFFy9aioud1uuXPn38sWLpr93m5SvIK6u\npk98Pj6mgZ93++vtbZqgVIjSzNqnoMnKzSLuYly+2nUk+QjxF+PNU+LcqJFPI8L9wgnzDyPML4y6\nVeta/MHRmrlkZha+buUteU1WYX6Ec7O8D4be3qYxVbVr37l2+fpC+fLWybUk2dMpjrQgbzE2YskY\nnmxDNmfSznAq9RRHU47mK1gFNVwA5V3L08inEY18GhFcLZhw/3CaVW9mtU+LeXkYDKbBmlevmsYg\npKWZik5qatGWu00eeieVK5uKkpeX6ZPcjX9vvi2vOFWq9O8RKz2Nq9JTLsL+WPJGaVRGktOTSUxL\nNB/lOpJyhMNJh0m4lFBgw+WEE/U86xHkE0SQTxCt/FrR2q81nu6eVskDTLnUqWMapnBj/bpbrSqo\nvmVmWh5HuXK31qo7XfbxgapV//1gGBMDetnlpRHTSHJyMs888wwpKSlkZmYyevRoBg8erFU4JW7/\n/v353iizDdmcvXqWxLRETqee5nTaadPlvL+pp7mQfuG228truIJ8gsx/g3yD8K/ij7NT/pGRSpk+\nfV27ZlrS02+9fONtecXp6tVbL589ux+l2t919uLCqlDBVFxut3h43Hqbl5fpb3F/JXjza+LI9JSL\nIyh99St/o6+UIvl6srlW5atdaac5nXqaM1fP3DIWNY+zkzP1Pevnq12NfBoR6BWIu6v7Levn5t5a\nq25Xx25Xu/IuJyfHkJPTvlgfAvO4uha+buUtec2Vu3vxhjHc/Jo4Mj3lYgnNGrFhw4bRvHlz3nvv\nPZKTk2nUqBFBQUGEhoZqFZLFMnIyuJRxicuZl7mccZnLmZdN1/+5fDnjMjE7Yljvs56U6ymcTjvN\nhWsXUNz5e2RnyuDpWhMP59r4ODfARwVRNbcRlbOCcL3qT0aiMxkZsOc6bL1uGnOQkWH6e/26qSjl\nFShrFB2TfyeFqVjRdISpUiXTJHoFLR4et7+vShXTBH1auVLYCW4cgJ5ycQR6ql+5xlyuZF65pWbd\nWNNW/HKAmOpTuZRxyfwB8uZxWwWpWMYTLxc/PJ0D8CEIL0MQVbKDKH+9ATkp7lw/AH9fhyM31K28\nOnZj/bLka7zbiwHaU66cqXZVrmz6e7daVdD95ctrNyZ0/35THnqgp1wsoUkjlpycTHR0NNOnTwfA\nx8eHLl26MHfu3FsKWdSGP1HK1LIYjabGxagUSpk+leWNiTMqBQoMykiuwUCOwUCuwUCuMfff68Zc\nco3/3K5yMRgMpuvGXDINmWQZMv5djKYl25hBjsokW2WQozLIIYNcTH9znNLIcr6M0bkQVeICHEo4\n9O91ozNcqwmpfpBWG9L88l9Oq43xWnVSjC6kAAnF/DcvW9Z09KlixVv/3nzbjcXp5suzZsHEiaZ1\n5SfJojSyVv2Cf2tYXv0yKmWuUTk31K/cG2pVvstG0+VsQxZZhgwyDRlkGzLJ/Kd2mZcb6pe5hjml\nk+V0mdwyV7mrS3U4fuxk/tsyqprqVaqfuWbdXMOu5ZTnGnCywI0WnrPz7evXjX8rVLh97cq7PG4c\nzJ2r7YdAIW6kSSOWkJCAUgp/f3/zbX5+fuzdu/eWdYdub2HL0G5VmGYjtyxkVoUMT1NxKujyscVw\nbixc9zIVqms1KO/mgpsbty4e+a+XK2f65HXj4u5euNvyCpS1Jvu8dOkElStbZ1taO3HihNYhWI2e\ncrF3DlW/nIC7/QpOOUGmh6leZXj+U7NuunxqHyycbLp8tSZcrUU5p4oF1y9fcPO/9faba1Nh6lhe\n/XJzs96RJzc3acKEnVEa2L59u3JyclK5ubnm2958803VuXPnfOvde++9CpBFFllK0XLvvffauiQV\nidQvWWSR5XaLJfVLkyNi9erVw8nJiZMnT1K3rmni0FOnTtGgQYN86yUkFPcLOSGEsC6pX0IIa9Jk\nlE/emIrIyEgAkpKSWLt2LYMGDdIiHCGEKDSpX0IIa9JsZv3k5GSefvppLl68SEZGBqNHj2bIkCFa\nhCKEEEUi9UsIYS12fYojIYQQQgg9s8sJCJKTk4mIiCAsLIzQ0FDmzp2rdUgWyc7OZvz48bRr147w\n8HCCg4NZtGiR1mEVy9atW3FxcWHLli1ah2KxnJwcXnvtNTp06ECnTp3o1q2bw47nWbVqFaGhobRp\n04amTZvyyiuvOMT5DY1GI19++SU+Pj5s3rw5332TJk0iNDSUli1bMmTIEDKLM325BqR+2TdHr2FS\nv+yDVWtYMX48VGK6deumxo8fr5RSKikpSXl7e6s///xT46iKLj4+Pt8vqTZs2KBcXFxUYmKihlFZ\nLiUlRXXv3l3VqlVLbd68WetwLPbCCy+oTz75ROswrMLDw0Nt2LBBKaVUZmamuueee9TKlSs1juru\nvv76a7VhwwYVEBCQ7//S4sWLVYMGDVRGRoZSSqmBAweqUaNGaRWmRaR+2S891DCpX/bBmjXM7o6I\n5U2WOGzYMCD/ZImOpl69ekRHR5uvt27dGoPB4LCzoI8aNYrJkyfjaq1JyTSQnp7O7Nmz8fX1pUuX\nLrRu3ZopU6ZoHZbFgoKCSEpKAkyz6+fk5OSb38pejRw5koceeuiW26OioujXrx9ubm6AaQZ7R9r3\npX7ZN0evYVK/7Ic1a5jdnfS7KJMlOprly5fzyCOPEBQUpHUoRTZlyhS6dOlC/fr1tQ6lWGJjY8nM\nzGTbtm1ER0dz8eJFWrRogaenp0MOtl6+fDndu3fn448/Jjk5malTp9K0aVOtw7JYfHw8PXv2NF/3\n8/MjLS2NpKQkfH19NYyscKR+2S891DCpX/bPkhpmd0fE9OrgwYNERUXx008/aR1Kke3Zs4dDhw7l\n+3m+cpDv8W+W9119Xi5eXl707t2bZcuWaRmWRbKysmjfvj0jR47k4MGD/Pnnn4wbN45NmzZpHZrQ\nGUeuX6CfGib1S5/srhG7cbLEPAVNluhItm/fzsSJE1m6dCkeHh5ah1NkixYt4ujRo3To0IEOHTpw\n/vx5XnrpJQYMGKB1aEVWu3ZtAJxuOF9KmTJlMBqNWoVksX379nHkyBHz61C7dm0efPBBhx5QXb9+\n/Vv2/cqVKzvE0TCQ+mWv9FLDpH7ZP4tqWImNZCuGbt26qbffflsppdSFCxeUt7e32r17t8ZRWWbl\nypWqf//+KjMzUyml1IIFC9T27ds1jqp4bh6c6GhatWqlXn75ZaWUaYBokyZN1Ndff61xVEV39uxZ\n5erqqtauXauUUurq1auqbt266vPPP9c4ssILCAhQMTEx5ut5A12vX7+ulFLqySefdMjB+lK/7Jsj\n1zCpX/bFGjXMLhuxpKQk9eijj6rWrVurZs2aqe+//17rkCxy6NAh5erqqnx9fVX16tVV9erVlYeH\nh8MWgPj4ePX888+rKlWqqF69eqkffvhB65AscvLkSfXwww+rli1bqtDQUPMv3BzRokWLVNOmTVWr\nVq3Ufffdp5577jmVnZ2tdVh39ccff6gXXnjB/H9p2rRp5vs+/vhj1axZM/XAAw+oQYMGmX995Cik\nftkvPdQwqV/2wZo1TCZ0FUIIIYTQiN2NERNCCCGEKC2kERNCCCGE0Ig0YkIIIYQQGpFGTAghhBBC\nI9KICSGEEEJoRBoxIYQQQgiNSCMmhBBCCKGR/wcqnD7J+hYv6gAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d2403710>"
]
}
],
"prompt_number": 60
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Twin axes"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax1 = plt.subplots()\n",
"\n",
"ax1.plot(x, x**2, lw=2, color=\"blue\")\n",
"ax1.set_ylabel(r\"area $(m^2)$\", fontsize=18, color=\"blue\")\n",
"for label in ax1.get_yticklabels():\n",
" label.set_color(\"blue\")\n",
" \n",
"ax2 = ax1.twinx()\n",
"ax2.plot(x, x**3, lw=2, color=\"red\")\n",
"ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n",
"for label in ax2.get_yticklabels():\n",
" label.set_color(\"red\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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fOeoTlUgQ2rSJI9DYWNbbXrIkgEtAp07xhIyoKODOO4GFC31SvSbYOarfbNwY\n2L3b7y/jUXbu+PGsYXnqFANltWrA/v2soxsfDwweDDz3nG8bKiLBY9EingEaG8tDtdesCWAATUlh\nym9UFLeyfP21Amgw6tGDxTLyc9NNXr+MRyPRKlU4jVuuHG9fWNc3JYVt27bN6/b5jaM+UYkEkY8/\n5uxpZiY/jE+ezP2gAZH9bNDLLwc2bABq1w7Qizufo/rNjAwWzIiOZqWiihVzPm4Mz+y0Yk20VClX\nAAX4x2CMq55lqVL2TioSkcDLzAT+7/+Ad97h7Tfe4MXvdXCzGzWKAbRsWWDxYgXQYDZnDktdGcNK\nRe744M3nURCtWJHHn1WuzNs1awLffQfcdRdvL1vmddawiASRlBSOOrNmTidP5u6DgJo9m1G7aFE2\npHnzADdAAuq111iA/umnGaTcVSlq3drrl/EoiIaFcVvVkiW8fffdPCj3jjt4e+lSJh6JiJw+zT5i\n1SrOYH3zDavrBdSaNUD//rw+YQIzmiS4nT3Lg9TzO7X95Ze9fhmPguiLL3K0meWll5hNvHAhb3fq\nBLz3ntdtExGHO3iQW1giI7kE+f33wA03BLgRUVGurSzPPsvMRwl+jRrxd16mTN5f07at1y/j02IL\np0/z36xpXjtz1AK5iANt2QJ06wYcPw40bcoZqjp1AtyIU6d4HFZ0NEefCxbkPzKRfDmq3/z5Z2D6\ndE7hX3ml+6/xQVUgj4OoMXw/LlsGnDzJKRqAMyVPPGH/2s2OejOIOMzSpayDm5jImalvvwUqVQpw\nI1JSgC5dWJWoeXPWxM2eESmF5qh+s0EDZt7Gx3Nk5y4799AhID3dq5fxKIgmJfETZkQEb5crB5w7\nx+vXXMOkol9+4f5Ru3LUm0HEQT77jLkcGRk8jnPKFKBkyQA3whi++JdfcgPqhg32LubtEI7qN0uV\n4nRtfu1dv54l97zgUbGFUaOAvXs5Ut65M+eoc9cufvh77TWv2lUga9Yw02/1atd9M2bwAIZ27Zgt\nfPKk/9shIuyrhg3jTFRGBvDqq9xhEPAACgAjRjCAZm1lUQD1v8J2yHFxvK9dO37NzJm+bU+VKqxP\nGxGR98UXa4/GAw0bGrNjh+t2jRo5Hz93zpi6dT155oI7edKY7t2NqVXLmFWreN/GjcZUrWpMXBxv\nv/aaMT16uP9+D//rIuJGSooxjzxiDGBMsWLGfPqphY2ZMYMNKVrUmMWLLWxI8Mmz3/SkQ+7WzZhh\nw3g9NpaBig1oAAAdB0lEQVRfu3mz7xq7YsXFv2btWq9fxqORaEJC/qcslC/P5Qh/GjyYGcDZK53M\nnMkymFWr8vajjzIbMD7ev20RCWVnzzIDd9YsDvy++46jUUusWsUqNQDw/vtcdxL/K2yHHBfHhfOs\nzcLVqvFN5MvRaJcuF/+aVq28fhmPgmixYvmf0rJ3r39LUY4fz593o0Y574+KAurWdd2uW5dTTNHR\n/muLSCg7dIgnTv38M48xW72a/aYl/viDG1LT0nik2cCBFjUkxHjSIUdH83r2x+vU4XE+gZTfCS8F\n5FGou/12FoKYNi33UsOOHfzA0aOH121z67ffuA47ZYrrPqesc4sEk19/ZR3348eBJk1YfKV+fYsa\ns3cvzwU9fZqdz7vvWtSQEGPnDnnEiPzL+hnjdd1cwMMgOno0t17Vr88/nvh4oEMHfiqNieH9I0Z4\n3Ta35s7lxu1OnXj7+HGeGNO4MT8IZT9+LSaGP8O8ziccPnz439fDwsIQFhbmn0aLBJnPPweeeYaD\nvrAwbmGxbH/4vn3sEI4c4bD4q6+0F9RHIiIiEJG1DcMdTzvkjAxeP3gQuOIK1+NXXeW7xvsrCF3I\n08XUEyeM6d/fmIoVjSlShJdKlYx54gnXOnIg1K/vWsfesIFr07GxvP3qq0osEvGllBRjnnmGeTuA\nMc8+a0xqqoUN2r+fWYyAMe3aMatR/Oai/WZhOuRu3ZhsZAwDStWqxmza5LvGVqtmzIEDfI9kXfbt\nM2bLFmMmTTImLMyYNWu8fhmvI0lGhjHHj/OSkeF1ewosKsqYgQMZxO++25jZs3n/tGnGNG9uTNu2\n/H3lFdAVREUK58QJYzp0YLwqVYp/a5Y6cMCYevXYoJtvVgANgDz7TU865NhY3te2Lb9m+nTfNnb0\n6Pwf370771FWIXhUbKFfP9dU89SpvhwXB46jNg2LWOy335izc+gQK6XNn++TAzA8FxPDeeT9+3l4\n8Q8/ABUqWNig0BB0/Wa9ejmnnD3gUXbujBk8hNvSPyIRCYgvvuBS46FDwM03A5s3W/y3f+gQ1+D2\n72dDli9XAJXC27TJJ/sfPUosqlaN233cHc8mIsEhPZ0nRWWdyDRgAPDBB6ymZpkjRxhA9+0DWrZk\nAL2wJqoIkHPKNLu0NM5krF8P3Hqr1y/jURBt0IABPGsPrTv33gvMm+dps0TESqdO8YzgH3/knu/3\n3weeeir/HQN+d/QoA+jevcCNN3IKN+BV7cUxZsxwf3/Rokwl/+c/eWKKlzxaE123Dpg0CXjlFaBZ\nM/dfU7Mmp3ztKujm9kV8ZMcOljTdvx+oXp0fhjt0sLhRx45xDXTPHh5I+tNPrI0qAeWofjNAQcij\nINqgAad6jhzhTEqlSjk/oRoDHD7MUbNdOerNIBIg33wD9O3LI8xatGACUcDPAL3Q8eMcge7eDVx/\nPQPopZda3KjQ5Kh+8+OPeZxQftavZ9EDL3gURAN0woxfOerNIOJnmZnA668Db77J2717A5MnA2XK\nWNsunDjBABoZyWmvn3/Ofx1J/Cro+k0fjFY9WhPNOmEmPzVrevLMIhJoZ88CDz/sShYcNw4YOtTi\n9U8AiI1lKb/ISJ548dNPCqCSt7wSifJiDN/8XvJoJPrjjxcvkL96NXDLLZ42y/+C7hOViAf++IPr\nn3/8wVyLuXMLdviF38XFMYDu2AFccw0/tVevbnWrQp6t+01PtosUKcIShF7wKIgWxOWXM5nOrmz9\nZhAJgMWLOQI9d44DvYULXWVMLXXyJAPo//7H4twrVwKXXWZ1qwQ27zc9mZq1ajoX4Pt67lxut0lO\nzrk+akz+R6WJiHXS04GRI3mQhDHAPfcA06cD5cpZ3TJw79yttzKAXn0110AVQKUgnn8+MN9zAY9G\nouHhwP33A6VLs/DCkSPM4MsKnomJvO1lNSW/svUnKhE/OXwYeOghYM0azmSNGgX85z82WP8EGEC7\ndAG2buUJIBERnNIS21C/mZtHI9Hx43lm6KRJzN6rWZN7ygBua3nhBQvPFRQRtxYt4t9tfDz/Zr/4\nwnWCleVOnwZuu40BtGFDTnUpgIovfPEFp0337uXtRo2A++7jodg+4NFItEoVTuNmTf9cOK2cksKa\n0Nu2+aSNfqFPVBIqUlJYvm/iRN6+4w4Wc7FNns6pU0DXrqxleuWVHIHWrm11q8QNR/WbaWk8NWHJ\nEvePd+vGjdDFPV7VBOBhAfpSpXKun2Rm5lwTLVXK3klFIqEiKop7uidOZF8xbhy3stgmgEZHs6r9\npk3Malq5UgFUfOPtt3lawkcfsdZySgove/dyGnXTJmDMGK9fxqMgWrEiZ1+y1KwJfPed6/ayZV5n\nDYuIl778kiVmt2zh8sovv3CpxTYHR6xbx2oxUVEs5bd6tQ3KI0nQmD2bnxifeop/ACVK8NKgASsZ\nLV4MzJzp9ct49OcUFsbU+Cx3381i1XffzUvPnkD37l63TUQ8kJgI9O/Pv9GEBOBf/+JS4003Wd2y\nbObOBTp35lTunXcygNaqZXWrJJicPcvalXlp2RI4f97rl/FoMvjFFznazPLSS/wjXbiQtzt1ch2f\nJCKBs2MHM+cjI5k9P3EijzCzRfYtwHWfceO4SAtwlPDBB16vS4nkUqIEq17ltXZx4oRP3nc+LbZw\n+jT/RpxwuIKjFshFLsIY1rp97jnu227SBJgzJ+9TliyRng4MGgR8+ilvjxvHfXq2ifByMY7qNwcM\n4Kk/U6Yw4zu7qCjg8ceBq64CPvvMq5fxW8Uiu3PUm0EkH2fOAE88wf3bAKdyJ04Eypa1tl05nD/P\nbQXLlnGIPGsWDx0WR3FUv3nsGNfcDx3iOmjWlqmjR7kns25dnpRSo4ZXL6MgKuJgGzYwH+HAAaB8\neQ7yfLT9zXcOH2aSxPbtLCD/3XfMyBXHcVy/GRvLaiLz5rG+JQBUqMBEgbfeYrUgLymIijhQZibw\n7rvsH9LTmT/x9de5Z60st20b9+MdPcqpsyVLuBdUHMlR/eaRI65ktcxMHmoAMHD6MEVdQVTEYWJj\neXB2VnLf0KHc7laqlLXtymXpUk7hJiQAHTpwY7sO03Y0R/WbPiguXxB22TEmIgWwaBFw/fUMoFWq\n8PZ779kwgH76KdCjBwPogw8CK1YogEpgnTjBDLuxY/0aTBVERRwgPh545BHgn/8Ejh/nWb3bt9tw\nP3ZmJrevPPUUK668+io3vdsuykvQu+wyFlM4eBC47jouK4SHsxygD2k6V8TmFi1i9u3x4zzw4a23\ngMGDgWLFrG7ZBZKSOM8cHs7GffopU4UlaDiq35wzh5umAe77WrCAZ/5t2cL7+/VjSS8vKYiK2FR8\nPDBkCAdyANCuHTBtGg+hsJ24OOCuu4Bff2X247x5PBdUgkpQ9JuHDvFT6fLl3Ei9fbtXT6fpXBEb\nWrQIaNqUAbRMGR4/uGqVTQPonj3csvLrr6x9+8svCqBivfXrc97evx8YPhzo2JEBtEgRn5zEoJGo\niI04avQJ8HTvnj3Z8ObNWdRb54AGLUf1mzVr8sSWuXM5jbtmDUt7NWzIZYc+fXxy4IGCqIhNOGbt\nE2DS0NixwOuv83q3btyomv2MRAk6juo3S5TgH1JCgqvAwqOP8pOpD6nqs4jFHDf6PHaMqcI//cTb\nL7zAjaoqIi92kpnJo4sefRTo1YsB1Q80EhWxkKNGnwA3qPbpw0SiatWAGTOArl2tbpUEiKP6zRo1\n+IflZwqiIhZw3OgzNZV7Pv/7X97u3JmNr1nT2nZJQKnfzE3ZuSIB5qjMWwDYtw9o354BtFgx4M03\ngR9+UAAVgdZERQLGcaNPgBvWn3iCJ2DUrQt89RXQtq3VrRKxDY1ERfwsM5PnAl99tYNGn4mJPLT4\ngQcYQHv14oksCqAiOWgkKuJHmzcDAwcCGzfydseOwGef2Th4AsCOHSyLFhnJmrfjx7MWbpEiVrdM\nxHYcNxJNTQWGDWNn1L49T7SYO9f1+NixPFuxTRvup01Otq6tErpOnQKefBJo3ZoB9PLLORO6cqWN\nA6gxwMcfA61aMYA2acLGP/20Aqi4502HHB3NBLVbbuF7bvnywLffF4zDREUZc8cdrtsrVhhTvLgx\nhw4ZEx5uzFVXGZOUxMd69zZm8GD3z+PA/7o4QHq6MR9/bEyVKsYAfG+++KIx585Z3bKLiI83plcv\nNhow5vHHjUlIsLpVYjO5+k1PO+TMTGOaNTNmyhTe3r3bmAoVjDl82P//CR9zfCRJTDSmSBFjduww\npnt3Y15/3fXYTz8ZU7Gi++9TEBVf+/VXY2680RWHunQxJjLS6lYVwNq1xtSty0aXL2/MV19Z3SKx\nqYv2mwXtkDdvNqZECWNSUlyPd+hgzHvv+b7Rfua46dwLLVgA3H47cO21QFQUEwiz1KnDnIjYWOva\nJ8EvNhZ47DHWYN+yhe+78HDuAmnc2OrW5SMjg9UdbrkFiInhlNq2bUwmEvFEQTvkPXtY/L1kSdfj\ndevyfodxdGLRjh0smDJnjmffP3z48L+vh4WFISwszCftktCQng588gmXhM6cYX/wwgvAf/4DlC1r\ndesu4tAhnqeYVbrvxReB0aNzdmoS8iIiIhAREVGwL/a2QwYcufbu2CC6bh3w7rvAN9+4al43asRD\nzLPExLDucF6n3WQPoiKF8csvwKBBrqMI77gDeP99GycNZUlLAyZO5JFQiYks3TdzJv8DIhe4cHAx\nYsQI919Y2A65USOOSFNTXR/cDh7kViqnsXo+2ROLFhnz4IPGJCfz9tdfG7NunWsd+88/ef/DDyux\nSHzr2DFjHnnEte5Zv74xCxYwT8L21qwx5tprXY2/915jjh61ulXiIG77TU865MxMvhc//5y3IyO5\nHu/AxCLH1c7dtYvHFlauDBT9a0U3ORlYuJBLO2+/zQzrEiW4uX3yZKB06dzPoxqQUhhpacCkScAb\nb3BZp1Qp4OWXgVde8dvhEL4TFwe89BLPVASAK64APvxQheOl0HL1m950yNHRwIABXBdJSgJGjXLk\ne9JxQdRXFESlIIwBlixhwNy1i/f16AFMmMBYZGuZmcDnnzPSnz7NabNXXnFI5Bc7Ur+Zm2PXREX8\nbfVqJgmtXcvbV17J5cRu3axtV4Fs3coiCRs28Patt3IobftFWxFncfwWFxFf27qVs0odOzKAVq0K\nvPcesHOnAwLouXPAc88BLVsygNasyWzJ5csVQEX8QCNRkb/88Qe3q4SH83b58tyyMnQor9uaMVx7\nGjoUOHaM61PPPQeMGMGMSBHxCwVRCXkxMcDIkcy7ychg0tCgQVw6rFrV6tYVwJ49rHL/44+83aYN\na+DecIO17RIJAQqiErLi4liw56OPuF2tWDEenTlsGFC7ttWtK4CkJGDMGBb5Tk1lhuTYsUD//q5M\nSRHxKwVRCTlnz3Jf+PjxQEIC73vwQc58OmbZcOlSDpf37ePtxx7jdoJq1axtl0iIURCVkJGUxATV\nMWOA+Hje160b8OabPMHJEXbuBF5/HZg/n7evvZZTt+3bW9sukRClICpBLy0NmDqV655Hj/K+Dh04\nleuY2LNzJzejh4cziahsWQ6dn32WG9lFxBIKohK00tK4u2PECBZHAVhc5a23eNCEI2pd79rF6J8V\nPEuW5MLtK68AtWpZ3TqRkKcgKkHn/Hngs89YVejQId531VUcyN17r0NybhQ8RRxBQVSCxtGjPEnl\nk0+YPASwXOdLLwF9+gDFnfBuzyt4vvyyQ1KGRUKLE7oVkXzt2sVs29mzOYULcM3zxReZOOSYkeeo\nUSyYoOAp4hgKouJIxgCrVgHjxrFAPMA1znvuYfC86SZr21dg7oLngAGctlXwFLE9BVFxlPR04Ntv\nGTw3b+Z9ZcoA/fqx4l3Dhta2r8AUPEWCgoKoOEJiIrepjB8P7N/P+6pWZb2BgQMdUp4PUPAUCTIK\nomJrJ07w/OiPPnIVSGjYEHj+eSYLXXKJte0rkIwMYNky4NNPgcWLXcHz8ccZPOvUsbqFIuIhBVGx\npf/9j9WFZswAUlJ4X5s2XO+86y7WubW9I0eAKVN4MHbWXhsFT5GgoiAqtnHmDPD114w7WeudRYow\naL74ItC2rQMKJGRk8OzOyZM56szI4P1XXMFp2379gMsus7aNIuIzCqJiqaws2ylTgHnzgORk3l+x\nIvDww6xqd/XV1raxQI4edY06Y2J4X/HirO7wxBPAP/7hkL02IlIYCqJiiSNHeH7ntGnA3r2u+zt3\n5kled9/NrFtby8gAfviBo85Fi1yjzgYNGDgffRSoUcPSJoqIfymISsCkpnKGc8oU5tlkZvL+2rUZ\nb/r146yn7R09ylThzz8HDh7kfcWLc5Pqk09q1CkSQhRExe9+/52Bc9YsHoQN8OCRXr046rz1Vgck\nCmVkACtWMMP2wlFn1lqnRp0iIUdBVPzi/HkmCU2dCqxf77q/aVMGzt69HXB+dEYGsG4dsGAB8M03\nrlFnsWL8BPDkk0CXLhp1ioQwBVHxmaQk4McfmSA0bx7w55+8v3x54MEHGTxbtbJ5hm1SEkecCxZw\nxHnypOux+vVdo86aNS1roojYh4KoeOXMGeD774H587nOmZjoeqxDBwbOe+/lGdK2deoU/xMLFnB7\nSlb0B4ArrwR69uQ+m3btNOoUkRwURKXQjh0DFi5k4Fy50nVyCgDceCMza++7j2d42tbBg/xPLFgA\nrF7tWuMEgJYtXYGzaVObD51FxEoKolIgUVEMmgsWcI3TGN5ftCjQsSMDZ8+eQL161rYzT8awDNKC\nBbxs2+Z6rHhxrm327An885+qJCQiBaYgKm4ZA2zdysA5fz7rpmcpVQq47TYGzh49bFz8/fx5Rvwl\nSxg4DxxwPVa2LNC1KwPnnXcClStb1kwRcS4FUflbejqwdq1rxJmVjAqwglD37ow5d9wBlCtnXTvz\ndOwY/wO//MLLtm05p2mrV+cUbc+erOpQurR1bRWRoKAgGsLS0lijdtUqXtau5eAtS82ajDl33w2E\nhbF2um0YA/zxhytg/vJLztJHALeitGrFxvfsyZO6bb8hVUScREE0hKSkABs2MGCuXs0tkNkTUQEm\nA/XsycDZurWNklFTU4EtW3IGzVOncn5NuXLAzTcD7dvz0rq1TYfMIhIsFESD2J9/ckkwa6S5fr3r\nWLEsjRszMahjR+CWW4Bataxpaw7G8CDRbdtcAXPDBld1+iw1argCZocOwHXXMUlIRCRA1OMEkYQE\nTsmuXs2guXFjzu0nANCsmStoduhgg1O5YmOZtXThJesE7uwaN3YFzfbtWWhX209ExEIKog4VHw/s\n2OG6bN3K2c7seTRFigDNm+cMmpdealGDT550HyyzVwTKrkIF4NpreYho+/b81/Z1AkUk1CiI2lxS\nEhAZmTNg7tjBRNQLFSvGZcCsqdn27YFKlQLY2JQUnnF26BCwezewc6crWMbGuv+e8uWBa65hUYPs\nl1q1NMoUEdsLyiAaFwc8/jgHOcnJwJAhQJ8+VrcqfxkZwL59DJA7d7qCZVSU68iw7C65hAO1Zs1c\nl1atGJP8Ij2dR4AdOuS6HD6c8/aJE3l/f7lyOYNl1vU6dRQsRZzMiR2uDwVlEO3Xj+XnRo7k7zer\nv27Rwro2pacDx49zoHbhZfduDtaSknJ/X7FiQJMmuQNmgwY+ypxNSsK6xYvRtkkTzhHHxroPlMeO\nuY/mFzb28ssZGBs1yjmyrFPHRqm+eYuIiEBYWJjVzbAF/Sxc9LPIhx073AAKuiAaFwcsXQp88AFv\nV6vGwjQzZ/rnd2oMcO6c++CY/XLihKtUXl5q1coZKJs1Yy5NvjUBMjIYff/8k9Xg4+OB06dz/+vu\nvvh4ICUFbQvyHy1ShBtH69TJeald23W9Rg3HZ8eqs3TRz8JFP4s8BLrDtSFn93huREczWNWt67qv\nTh0m3WTXAsDGSZuQnAKkJhukpAApF/ybmpLtdqrr67LuT0rMxOmTGUhNzkAxZKA40lEMrutlkIGr\nkYFrkIESSEflChm4tFIGqlRMR5UKGahUIQOVy6WjaoVUXFYxCWVMEgNibBKwOAkI/+t2fpcL028L\nq2RJnC9ZEuXr1AGqVGENP3dB8vLLbVZtQUQsV9AON4gFXRAtqM0AMKh1YF/03F8XXypShEPVMmVY\n/7VyZQbDgv5bpgzeHTECw4cP93HDRESCXxFjLjbJ6CxxcZxVjIriNkIAeOQRxouJE11f17BhQ+y9\nsEyciIjk6corr0R0dLTrjoJ2uEEs6IIowELpzZsDo0YxT6ZpU07bt2xpdctERIJMiHe4QRlE4+KA\n/v1ZWjUpiRnXffta3SoRkSAU4h1uUAZRERGRQLD/xj0fi4uLw1133YV27dqhRYsWmDlzptVNskRq\naiqGDRuGjh07on379rj++usxd+5cq5tlqTVr1qB48eJYvXq11U2xVFpaGl588UV06tQJt956K7p1\n65ZzHSyELF68GC1atECHDh1w3XXX4d///jdCYdyRmZmJSZMmoVq1ali1alWOx8aOHYsWLVqgTZs2\n6Nu3L5IvPBgi1JgQ061bNzNs2DBjjDGxsbGmatWqZvPmzRa3KvCioqLMHXfc8fftFStWmOLFi5vD\nhw9b2CrrnDx50nTv3t3UqlXLrFq1yurmWGrQoEHmnXfesboZtlCpUiWzYsUKY4wxycnJpkGDBmbR\nokUWt8r/PvnkE7NixQpTv379HH8P4eHh5qqrrjJJSUnGGGN69+5tBg8ebFUzbSGkRqJxcXFYunQp\n+vXrBwCoVq0aunbtGpKj0YYNG2Lp0qV/327bti0yMjJw5swZC1tlncGDB+O9995DiRIlrG6KpRIT\nEzFlyhRUr14dXbt2Rdu2bTF+/Hirm2WZpk2bIvavus9nzpxBWloa6mbfExmknnzySXTp0iXX/TNm\nzMADDzyA0n9VgOnXr19I9p/ZhdQ+0ejoaBhjcvwR1KlTB1tCaGNwXhYsWIDbb78dTZs2tbopATd+\n/Hh07doVjRo1sropltu9ezeSk5Oxdu1aLF26FKdOnUKrVq1QpUoV9A2hZJEsCxYsQPfu3TFmzBjE\nxcVhwoQJuO6666xulmWioqLQs2fPv2/XqVMH586dQ2xsLKpXr25hy6wTUiNRcW/Hjh2YMWMGvvrq\nK6ubEnC//fYbdu7ciUceeeTv+0wIrHnlJWt9K+vncemll6JXr16YP3++lc2yREpKCsLCwvDkk09i\nx44d2Lx5M1555RWsXLnS6qaJjYRUEG3YsCGKFCmCgwcP/n1fTEwMrrrqKgtbZa1169Zh+PDh+Oab\nb1ApoOem2cPcuXMRGRmJTp06oVOnTjh+/Diee+45PPTQQ1Y3zRK1a9cGABTJdrJOsWLFkHmxwweC\n0NatW/H777///V6oXbs2brrpppBOwGvUqFGu/rNChQohOwoFQiyIZq2BTps2DQAQGxuLZcuW5RiF\nhJLFixfjww8/xJdffoly5cphzpw5+PXXX61uVkCNHTsW69atw8qVK7Fy5UrUqFEDEydOxJdffml1\n0yxRr149tGnTBt9++y0AjsaWLl2Kbt26WdyywKtXrx6KFy+OiIgIAEBCQgI2b94cctP+2Wdm+vbt\nizlz5iDpryOnpk2bhj4hdOyZOyG3TzQuLg79+/fHqVOnkJSUhCFDhoTkWs+uXbvQvHlzVK5cGUX/\nOqIsOTkZCxcuxC233GJx6wIvOjoaEyZMwOzZs9G5c2fcc889ePjhh61uliViYmIwYMAAnDt3Dmlp\nabjzzjsxcuRIq5tlifDwcIwePRply5bFmTNn0KlTJ0yYMCHoE9A2btyIWbNmYdasWejcuTPCwsLw\n7LPPAgDefvttzJ07FyVKlMDVV1+NyZMn/51oFIpCLoiKiIj4SkhN54qIiPiSgqiIiIiHFERFREQ8\npCAqIiLiIQVRERERDymIioiIeEhBVERExEMKoiIiIh76fxhtkDpJO5S+AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d29c9c10>"
]
}
],
"prompt_number": 70
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Axes where x and y is zero"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots()\n",
"\n",
"ax.spines['right'].set_color('none')\n",
"ax.spines['top'].set_color('none')\n",
"\n",
"ax.xaxis.set_ticks_position('bottom')\n",
"ax.spines['bottom'].set_position(('data',0)) # set position of x spine to x=0\n",
"\n",
"ax.yaxis.set_ticks_position('left')\n",
"ax.spines['left'].set_position(('data',0)) # set position of y spine to y=0\n",
"\n",
"xx = np.linspace(-0.75, 1., 100)\n",
"ax.plot(xx, xx**3);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAADtCAYAAACiY/4rAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncoIyVYw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RcTkVuYiIy6nIRURcTkUuYW/atGlORxAJazqzU0TE5TQiFxFxORW5iIjLqchF\nRFxORS4i4nIqchERl/t/OCU8oKH4L+YAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d1ed6dd0>"
]
}
],
"prompt_number": 71
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Other 2D plot styles"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axes = plt.subplots(1, 4, figsize=(12,3))\n",
"\n",
"n = array([0,1,2,3,4,5])\n",
"\n",
"axes[0].scatter(xx, xx + 0.25*randn(len(xx)))\n",
"\n",
"axes[1].step(n, n**2, lw=2)\n",
"\n",
"axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n",
"\n",
"axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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w8HA8PT0tFYpVtWrVCnv7EajVszGZXsDBYSHNm7embNl/l1TJyMggM/Maeckz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\nAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d2aa2610>"
]
}
],
"prompt_number": 73
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# polar plot using add_axes and polar projection\n",
"fig = plt.figure()\n",
"ax = fig.add_axes([0.0, 0.0, .6, .6], polar=True)\n",
"t = linspace(0, 2 * pi, 100)\n",
"ax.plot(t, t, color='blue', lw=3);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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pFGzZskXrFNdiMdHHH3P7HDq09o5oXZSXl7MHYWvy+PFjmjBhAnt98eJFsrS0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\nRK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d2ca2990>"
]
}
],
"prompt_number": 74
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Text annotation"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(xx, xx**2, xx, xx**3)\n",
"\n",
"ax.text(0.15, 0.2, r\"$y=x^2$\", fontsize=20, color=\"blue\")\n",
"ax.text(0.65, 0.1, r\"$y=x^3$\", fontsize=20, color=\"green\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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51yrhOoQCJiJC7sXg5we0awd89JHcwjGP7jFCL7h6Ve7bvX59VpFEQ22Kk6ZJ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\nBCIiAgD8PwNBWstS7L+YAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d2aa9cd0>"
]
}
],
"prompt_number": 75
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### add_axes"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(xx, xx**2, xx, xx**3)\n",
"fig.tight_layout()\n",
"\n",
"# inset\n",
"inset_ax = fig.add_axes([0.2, 0.55, 0.35, 0.35]) # X, Y, width, height\n",
"\n",
"inset_ax.plot(xx, xx**2, xx, xx**3)\n",
"inset_ax.set_title('zoom near origin')\n",
"\n",
"# set axis range\n",
"inset_ax.set_xlim(-.2, .2)\n",
"inset_ax.set_ylim(-.005, .01)\n",
"\n",
"# set axis tick locations\n",
"inset_ax.set_yticks([0, 0.005, 0.01])\n",
"inset_ax.set_xticks([-0.1,0,.1]);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Ta7CtaKvbBhkrgrNnAX9/kZQaNnz39smZyRh5YCTW+a4ziMUiuctOCwwpVm06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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d217dcd0>"
]
}
],
"prompt_number": 78
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Contour figures"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"alpha = 0.7\n",
"phi_ext = 2 * pi * 0.5\n",
"\n",
"def flux_qubit_potential(phi_m, phi_p):\n",
" return 2 + alpha - 2 * cos(phi_p)*cos(phi_m) - alpha * cos(phi_ext - 2*phi_p)\n",
"\n",
"phi_m = linspace(0, 2*pi, 100)\n",
"phi_p = linspace(0, 2*pi, 100)\n",
"X,Y = meshgrid(phi_p, phi_m)\n",
"Z = flux_qubit_potential(X, Y).T"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 77
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### pcolor"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots(figsize=(8,6))\n",
"\n",
"p = ax.pcolor(X/(2*pi), Y/(2*pi), Z, cmap=cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max())\n",
"cb = fig.colorbar(p, ax=ax)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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1rndhcHAQRx11FKrVKu69916sXr1a/Xx7UjQMwzC6Bv/Y6xRbt27Fhg0bsGfP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"text": [
"<matplotlib.figure.Figure at 0x2ae8d23fde90>"
]
}
],
"prompt_number": 83
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### imshow"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots()\n",
"\n",
"im = imshow(Z, cmap=cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])\n",
"im.set_interpolation('bilinear')\n",
"\n",
"cb = fig.colorbar(im, ax=ax)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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QhMFV7Df26UBk55tMDo5xRwm0Gs37KeNuG/8GQCOGOT6rgx3Blf85mOZrizJc/o3eRH6O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SaE6/GUNIhtBGH88yLH/jWVpXA1oxgBy/7dKBHTaI3gJ+RNJ2Z8LbFawhgWnK6sjjldobt6cT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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d2f0ca90>"
]
}
],
"prompt_number": 84
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### contour"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots()\n",
"\n",
"cnt = contour(Z, cmap=cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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R9o3mee+S1qrcHA1D8tLuIf6we4htPWm29aQolnTmNscOnckDSGAoXaRrJMf0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\nzt4pO3w5+SzWgV1Y+3diHdgFrkNo/vLqgWLeMhQ9EOeZRuZ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jG7S96Y0NbZnuRLo6ifXO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+IvXTKLTQeirNveZ+m6VnNSoV61ahXz58/npZdeYu3atdxxxx1s3LjxhN8rhOD2229n6tSplnQA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\n1DWV3dNrO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jqA74cRlUwmhOBQPMerh+IMZgosm9LInDKFKFL5IomcSnvEZ1nCgcjEMRL9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\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d2de3250>"
]
}
],
"prompt_number": 86
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3D figures"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from mpl_toolkits.mplot3d.axes3d import Axes3D"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 87
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Surface plots"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(14,6))\n",
"\n",
"# `ax` is a 3D-aware axis instance, because of the projection='3d' keyword argument to add_subplot\n",
"ax = fig.add_subplot(1, 2, 1, projection='3d')\n",
"\n",
"p = ax.plot_surface(X, Y, Z, rstride=4, cstride=4, linewidth=0)\n",
"\n",
"# surface_plot with color grading and color bar\n",
"ax = fig.add_subplot(1, 2, 2, projection='3d')\n",
"p = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=cm.coolwarm, linewidth=0, antialiased=False)\n",
"cb = fig.colorbar(p, shrink=0.5)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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wKja0tOpFC8ih6BQ2JTlYW8GOfTNJ0rRcLiOdTuOjH/0oPvrRjwLgtrkTuEPQ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\nIYQQQggbJgmBEEIIIYQQNux/AWLjoTayGevCAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2ae8d2ae0910>"
]
}
],
"prompt_number": 88
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Wire-frame plot"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(8,6))\n",
"\n",
"ax = fig.add_subplot(1, 1, 1, projection='3d')\n",
"\n",
"p = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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USZxhX5fLFdO7TDxHe7HJpJ/xYDOi4TDcf7+bSARuvrmEl15y0bSpTo8ePhYu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\nbdo07esURaFVq1asXLmSRYsWMWvWLP7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6vlOmuNE0OP10nWAQ3n/f8sY8HquA66KLfNx0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