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September 21, 2018 12:57
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sin.ipynb
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"import pandas as pd\n", | |
"import numpy as np\n", | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
" vertical-align: top;\n", | |
" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
" text-align: right;\n", | |
" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>sin</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>0</th>\n", | |
" <td>0.000000</td>\n", | |
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" <tr>\n", | |
" <th>1</th>\n", | |
" <td>0.841471</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2</th>\n", | |
" <td>0.909297</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>3</th>\n", | |
" <td>0.141120</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>4</th>\n", | |
" <td>-0.756802</td>\n", | |
" </tr>\n", | |
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], | |
"text/plain": [ | |
" sin\n", | |
"0 0.000000\n", | |
"1 0.841471\n", | |
"2 0.909297\n", | |
"3 0.141120\n", | |
"4 -0.756802" | |
] | |
}, | |
"execution_count": 5, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"df = pd.DataFrame([np.sin(i) for i in range(200)], columns=['sin'], index=list(range(200)))\n", | |
"df.head()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.axes._subplots.AxesSubplot at 0x10c738390>" | |
] | |
}, | |
"execution_count": 6, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"df.plot()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.6.5" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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