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@rmcgibbo
Created December 20, 2012 23:41
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{
"metadata": {
"name": "rmagic_ggplot"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%load_ext rmagic"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%R -w 3 -h 2\n",
"require(ggplot2)\n",
"x = 1:10\n",
"p = ggplot(data.frame(x=x, y=x^2), aes(x,y))\n",
"p = p + geom_line() + geom_point()\n",
"p = p + ggtitle(\"Hello World!\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"text": [
"Loading required package: ggplot2\n"
]
},
{
"output_type": "display_data",
"png": 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COeX1yy+/mO5Xusn/2RF2v9LNm+MQQCAzAQLCzPw4GgEEEIiUQFgTTtUeTZs2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\ng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AACCCAQWICAMDAhGSCAAAIIIIAAAggggAACyRQgIEzmdaPUCCCAAAIIIIAA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\nYII=\n"
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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