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@arosh
Created December 16, 2016 14:04
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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BPYKVRHxQ9yfLqXV1oznY2k3PgMf4H6p9LnjqS/DQhYCAq56BSx6A1LFrYFkt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\nPEKTulJKKeUR/x/3ftq+2Cau5wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1074d2ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xs = numpy.linspace(-8, 8)\n",
"ys = numpy.sin(xs)\n",
"plt.figure(figsize=(8, 6))\n",
"plt.plot(xs, ys)\n",
"ys = 0.5 * numpy.sin(0.5 * xs)\n",
"plt.plot(xs, ys)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [conda env:matplotlib-v2]",
"language": "python",
"name": "conda-env-matplotlib-v2-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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