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brandonwillard/cm-functions-plot.ipynb

Created November 15, 2015 17:00
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cm-functions-plot.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"<path style=\"fill:none;stroke-width:1.062992;stroke-linecap:butt;stroke-linejoin:round;stroke:rgb(38.039216%,61.176471%,100%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 450.371094 263.488281 L 464.195312 263.488281 \"/>\n",
"<g style=\"fill:rgb(0%,0%,0%);fill-opacity:1;\">\n",
" <use xlink:href=\"#glyph0-4\" x=\"468.082031\" y=\"231.445312\"/>\n",
"</g>\n",
"<g style=\"fill:rgb(0%,0%,0%);fill-opacity:1;\">\n",
" <use xlink:href=\"#glyph0-2\" x=\"468.082031\" y=\"248.726562\"/>\n",
"</g>\n",
"<g style=\"fill:rgb(0%,0%,0%);fill-opacity:1;\">\n",
" <use xlink:href=\"#glyph0-8\" x=\"468.082031\" y=\"266.007812\"/>\n",
"</g>\n",
"</g>\n",
"</svg>\n"
],
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/svg+xml": {
"isolated": true
}
},
"output_type": "display_data"
}
],
"source": [
"x.dat = seq(0, 10, length.out=100)\n",
"\n",
"plot.dat = data.frame(x = rep(x.dat, 3)\n",
" , funcs = rep(as.character(1:3), each=length(x.dat))\n",
" , values = c(1/gamma(1+x.dat)\n",
" , 1/gamma(1+sqrt(x.dat))\n",
" , (1+x.dat^(1/2-sqrt(x.dat))/(1/2-sqrt(x.dat))))\n",
" )\n",
"\n",
"library(ggplot2)\n",
"ggplot(plot.dat, aes(x=x, y=values, colour=funcs)) + geom_line()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "R",
"language": "R",
"name": "ir"
},
"language_info": {
"codemirror_mode": "r",
"file_extension": ".r",
"mimetype": "text/x-r-source",
"name": "R",
"pygments_lexer": "r",
"version": "3.2.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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