{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import html\n",
    "import re"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# A small script to efficiently extract the courseware latex macros\n",
    "def decode(s):\n",
    "    d = html.unescape(s)\n",
    "    def remove_html(html):\n",
    "        if not html: return html\n",
    "        innerText = re.compile('<!--[\\s\\S]*?-->').sub('', html)\n",
    "        while innerText.find('>') >= 0:\n",
    "            text = re.compile('<[^<>]+?>').sub('', innerText)\n",
    "            if text == innerText:\n",
    "                break\n",
    "            innerText = text\n",
    "\n",
    "        return innerText.strip()\n",
    "    d = remove_html(d)\n",
    "    d = d.replace(\"\\\\(\", \"$\").replace(\"\\\\)\", \"$\")\n",
    "    d = d.replace(\"\\n\", \"\\n\\n\")\n",
    "    return d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "s = \"\"\"\n",
    "&lt;p&gt;Soient \\(V\\) un \\(\\mathbb{R}\\)-espace vectoriel et \\(S\\subset V\\) une collection de vecteurs dans \\(V.\\) On dit que \\(S\\) est &lt;em&gt;lin&amp;eacute;airement d&amp;eacute;pendante&lt;/em&gt; (ou &lt;em&gt;li&amp;eacute;e&lt;/em&gt;) s&#39;il existe des vecteurs distincts \\(v_1,\\ldots,v_r\\in S\\) et des scalaires \\(\\lambda_1,\\ldots,\\lambda_r\\in \\mathbb{R}\\) non tous nuls tels que \\(\\lambda_1v_1+\\cdots+\\lambda_rv_r=0.\\) (Autrement dit, s&#39;il existe une combinaison lin&amp;eacute;aire (non triviale) de vecteurs de \\(S\\) qui se r&amp;eacute;duit au vecteur nul.) S&#39;il n&#39;existe pas de tels vecteurs dans \\(S,\\) alors on dit que \\(S\\) est &lt;em&gt;lin&amp;eacute;airement ind&amp;eacute;pendante&lt;/em&gt; (ou &lt;em&gt;libre&lt;/em&gt;).&lt;/p&gt;\n",
    "&lt;h3&gt;&lt;span style=&#34;text-decoration: underline; color: #ff6600;&#34;&gt;REMARQUE 2 :&lt;/span&gt;&lt;/h3&gt;\n",
    "&lt;p&gt;Si \\(0\\in S,\\) alors \\(S\\) est li&amp;eacute;e car \\(\\lambda\\cdot 0=0\\) pour tout \\(\\lambda\\in \\mathbb{R}.\\)&lt;/p&gt;\n",
    "&lt;p&gt;&amp;nbsp;&lt;/p&gt;\n",
    "&lt;/div&gt;\n",
    "\"\"\"\n",
    "\n",
    "print(decode(s))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from IPython.display import display, Markdown, Latex\n",
    "\n",
    "display(Markdown(decode(s)))"
   ]
  }
 ],
 "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": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}