{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# from __future__ import print_function\n",
    "from ipywidgets import interact, interactive, fixed\n",
    "import ipywidgets as widgets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/html": [
       "<img src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAxIAAABRCAYAAABG4JCUAAAIHUlEQVR4nO3dX4hmZR0H8G9YLppIBrZUEJVWpFJhXUR0URBadBN0ZWCBSZEUBVKQbJtGUl2EBRF0Ec5NXQlaXfSPDMW0ZWZnxzlzznvO7Pzpj1ONkX9GKlPzdHHeyWly533f3ff1HZ3PB36wz7PPs+dh9yyc75w/TwIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACwL2xubh6u6/q2qqrm96q6rm+b9loBAIB9ommav5Rl2Q5TvV7vT9NeLwAAsA8URdHWdT1UFUXRTnu9AADAPiBIAAAAIxMkAACAkQkSAADAyAQJAABgZIIEAAAwMkFiaC9J8o0kx5P8PMlvk3xiiHlnJ7k5yVNJLj7FmCuS3JfkF0nuSfLOM10sAABMlCAxtKNJ/pjk/H771Um2knxwjzmvSXJvkpkkbZ49SFyS5NEkl/bb703ycJJXnfGKAQBgUgSJod2e5Me7+uaTfHuPOZckeWOSd+fUQWImyR3P8ud+7bRWCQDwAnVNkt8k+WW6R0NuTvLiqa7ogBMkhnZ1kr8meX2/fXmSx5PcMMTcvYLEA0mO7Or7XpK501smAMAL0y+TvK3/60NJ7kryuWEmrqys3F2W5aYab40aJMZ57JWVlbsndaJNyMeT/C3dHYOnktyZ5GVDzDtVkDjU7792V/9NSR46o5UCALzA7H7u+/p04WJPTdMcXV1dbbe2ttSYa9QgMc5jr66utk3THJ3MqTZ2VyX5S5I399tvSHcn4dAQc08VJC7o91+9q/+GdHc7AADoe3u6Z81n0z3atJ6kGDSpqqqZjY2NlvEbNUiM08bGRltV1cxkT7mx+X2Sr+/q+0GS7w4x1x0JAIAz8PJ0X6P54o6+TydZGjSxrutb1tfXx3oRS2eaQWJ9fb2t6/qWSZ1wY3R2ugv+T+7q/2qSPw8x/3TekZgdcY0AAC9Y70l3MfX6HX3XZ4ggsba2dnh5efmRxcXFtmkaNcYqiqI9duzYUFUUxdiO2/+3fHRtbe3whM63cftrkht39X0/ycoQc/cKErfm/7/adDy+2gQA8F+vTvJEks/02+ek23xrYJDYVhTFRQsLC1eq8dWoQWKMx71oAufYJH0jye+SvKLffl26/R++umPM55PUSc7dNXevILG9j8Rl/bZ9JAAAnsVV6X6CeyLJT9L9NPYf6b5+wxQURdHOzs4OVQf886+H0t2RmEvy63Tn8NF0O15vO5LkD0nO67fPSvcuUJkuSJxI8rNn+bOvSHIs3f+De2NnawAA9ruiKNq5ubmh6oAHCQAAYFtRFO38/PxQJUgAAABJuiCxsLAwVAkSAABAki5ILC4uDlWCBAAAkKQLEktLS0OVIAEAACTpgkRVVUOVIAEAACTpgsQoO1tPe70AAMA+UBRFu7y8PFQJEgAAQJKkaZrNqqoG3o3o9XptXdcPT3u9AADAPrC5uXm41+vdVdf1woC6fdprBQAAAAAAAAAAAAAAAAAAAAAApmVtbe0tVVXND6qyLG+a9loBAIB94OTJkxf2er0ny7JsB9XS0lLbNM3MtNcMAABMWVVVHxq0Cdt2VVXVlmW5Ne01AwAAUzZKkOj1em1Zlv+c9poBAIApEyQAAICRCRIAAMDIBAkAAGBkggQAADw/fCHJapLfTXkdSQQJRvaRJL9K8tMkdyX5UZI3DTHviiT3JflFknuSvPM0xwAAHGjXRpDg+emfSa7c0f5mkj8kOX+POZckeTTJpf32e5M8nORVI44BADjwBAmer364q/3aJG2SD+wxZybJHbv65pN8bcQxAAAH3naQ+Gi6i6WH0l2gnfdcL0SQ4Ay9Ml2Q+NAeYx5IcmRX3/eSzI04BgDgwLs2yd+TfLnfviBJme7CaU8rKyt3l2W5Oa6qqurhUYLE0tLS0+M8vio3V1ZW7p7guTZpH04XhF96it8/lC5oXLur/6b+vGHHAACQ7oLpySTn7uj7VJInssez5k3THF1dXW23trbGVg8++ODTI96RGOvx1Va7urraNk1zdMLn3CScleREko/tMeaCdCHh6l39NyR5fIQxAACkCxIbu/rel+5i6vJTTaqqamZjY6Mdp8cee2zkIMF4bWxstFVVzUzwfJuU7yT51oAx7kgAAIzRaQWJuq5vWV9fH+tFrCAxfevr621d17dM8oSbgC+le0H6RUOMPdX7D7MjjgEAOPC2H206Z0ffdRnwaNPa2trh5eXlRxYXF9umacZSdV0/Xdd1e+zYsYE1NzfXjvPYqtn++3x0bW3t8ITPuXH6bJLb0j3alCQXJ3n/HuNvzf9/kel4/veLTMOMAQA48LaDxI399tAvWydJURQXLSwsXDmOKsvyxhGDxL/GdWy1cGVRFBdN5hSbmGuS1EneleQd/bouydd3jPl8f8z2O0Dbe0Rc1m/vtY/EXmMAAA60nTtbX5+kSHfBNNXPv87Ozg6s48ePt0VR+PzrwXVOkn+newRvd+0MEkfSbVK383y+IsmxJHcmuTen3tl60BgAAPaD7SAxNzc3sObn5wUJAADgmSAxPz8/sE6cOCFIAAAAzwSJhYWFgXX//fcLEgAAwDNBYnFxcahaWloSJAAA4KDbDhJLS0vDliABAAAH3XaQqKpqYJVl2ZZlKUgAAMBBtx0kRtjZWpAAAICDbjtILC8vD6y6rtuyLLemvWYAAGDKTp48eWGv13uy1+sNvCNRVVXbNM3MtNcMAADsA03TvLWu64VBtby8/JVprxUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHhu/Qc3SmqCtKoNpwAAAABJRU5ErkJggg== class=\"jupyter-widget\">\n",
       "<script type=\"application/vnd.jupyter-embedded-widgets\">[{},{\"layout\":\"IPY_MODEL_f88b4583661e48aaa1907428446447f6\",\"continuous_update\":false,\"description\":\"a\",\"max\":10,\"step\":0.1,\"value\":8.1},{},{\"layout\":\"IPY_MODEL_7908ede570f24b54a338ca6aa6901b06\",\"continuous_update\":false,\"description\":\"b\",\"max\":10,\"step\":0.1,\"value\":2},{},{\"children\":[\"IPY_MODEL_337a106bd8be42d48b8fd5f115067233\",\"IPY_MODEL_30c4497b121c41dfa77d37e8131599cf\"],\"layout\":\"IPY_MODEL_99586723299d4fdebd2c972b54a53adf\",\"_dom_classes\":[\"widget-interact\"]}]</script>"
      ]
     },
     "metadata": {
      "isWidgetSnapshot": true
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEdCAYAAADkeGc2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmdD/A1WX5L30ZkD9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "Graphics object consisting of 1 graphics primitive"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "var(\"x,a,b\")\n",
    "dbeta(x,a,b)=x^(a-1)*(1-x)^(b-1)/beta(a,b)\n",
    "def showbeta(a,b):\n",
    "    show(plot(dbeta(x,a,b),(x,0,1),figsize=4))\n",
    "    return(None)\n",
    "interact(showbeta,\n",
    "         a=widgets.FloatSlider(min=0.0,max=10.0,step=0.1,value=1.0,continuous_update=False),\n",
    "         b=widgets.FloatSlider(min=0.0,max=10.0,step=0.1,value=1.0,continuous_update=False));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "SageMath 7.4.beta5",
   "language": "",
   "name": "sagemath"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  },
  "widgets": {
   "state": {
    "73a0ae1371fe48ab8f5015d0a9e58020": {
     "views": [
      {
       "cell_index": 1
      }
     ]
    }
   },
   "version": "1.2.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}