render LaTexml.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "import xml.etree.ElementTree as ET\n",
    "import pandas as pd\n",
    "import re\n",
    "import nltk\n",
    "#with open('../2004_ends_with_3/math.0412433/math.0412433.xml', 'r') as fxml:\n",
    "exml = ET.parse('../2004_ends_with_3/math.0402243/math.0402243.xml')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {},
   "outputs": [],
   "source": [
    "def find_theorems(exml):\n",
    "    return_lst = []\n",
    "    for e in exml.iter():\n",
    "        if 'theorem' in e.tag:\n",
    "            return_lst.append(e)\n",
    "    return return_lst\n",
    "\n",
    "def find_definitions(exml):\n",
    "    return_lst = []\n",
    "    for e in exml.iter():\n",
    "        att_class = e.attrib.get('class', None)\n",
    "        if att_class:\n",
    "            if re.match(r'ltx_theorem_[definto]+$', att_class):\n",
    "                return_lst.append(e)\n",
    "    return return_lst\n",
    "thm_lst = find_theorems(exml)\n",
    "thm = thm_lst[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 232,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<re.Match object; span=(0, 22), match='ltx_theorem_definition'>"
      ]
     },
     "execution_count": 232,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fd_lst = find_definitions(exml)\n",
    "re.match(r'ltx_theorem_[definto]+$', fd_lst[2].attrib['class'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[<Element '{http://dlmf.nist.gov/LaTeXML}XMath' at 0x7f08c597a9a8>]\n",
      "[<Element '{http://dlmf.nist.gov/LaTeXML}XMath' at 0x7f08c5980598>]\n",
      "[<Element '{http://dlmf.nist.gov/LaTeXML}XMath' at 0x7f08c5980688>]\n",
      "[<Element '{http://dlmf.nist.gov/LaTeXML}XMath' at 0x7f08c5980c28>]\n",
      "[<Element '{http://dlmf.nist.gov/LaTeXML}XMath' at 0x7f08c5908188>]\n",
      "[<Element '{http://dlmf.nist.gov/LaTeXML}XMath' at 0x7f08c5908368>]\n",
      "[]\n",
      "[<Element '{http://dlmf.nist.gov/LaTeXML}XMath' at 0x7f08c59084a8>]\n"
     ]
    }
   ],
   "source": [
    "para = list(thm)[1]\n",
    "p = list(para)[0]\n",
    "for t in p:\n",
    "    print(list(t))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Let    ⊆   \\u2062    M  u        (  B  )    div     \\u2062    M  u      (  B  )       be\\nthe divisorial part of the unstable locus of   B   ; in other words,    \\u2062    M  u        (  B  )    div     is the union of the irreducible components\\nof    \\u2062    M  u      (  B  )      having codimension one in    ~  M    . We shall say\\nthat the Kirwan resolution   f   is mild if    ⊆   \\u2062  f     (   \\u2062    M  u        (  B  )    div    )      \\u2062    M  u      (  L  )       . '"
      ]
     },
     "execution_count": 148,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Elst = ET.tostringlist(p,method='text',encoding='unicode')\n",
    "' '.join([e.strip() for e in Elst])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Une orbifolde pure est un espace analytique complexe normal  n’ayant que des singularités quotient.'"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p = X.para_p(X.def_lst[0])\n",
    "if p.text:\n",
    "    def_str = p.text\n",
    "else:\n",
    "    def_str = ''\n",
    "for pa in list(p):\n",
    "    if pa.text:\n",
    "        def_str += pa.text\n",
    "    math_elem = pa.findall('latexml:Math', ns)\n",
    "    for m in math_elem:\n",
    "        def_str += m.tail\n",
    "    if pa.tail:\n",
    "        def_str += pa.tail\n",
    "def_str.replace('\\n', ' ')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['CaCa', 'did', \"n't\", ',', 'ca', \"n't\", \"o'clock\", '.']"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s = \"CaCa didn't, can't o'clock.\" \n",
    "nltk.word_tokenize(s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 249,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "b'Une orbifolde pure est un espace analytique complexe normal \\n              \\n                X\\n              \\n             n&#8217;ayant que des singularit&#233;s\\nquotient.\\n      '"
      ]
     },
     "execution_count": 249,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ET.tostring(p,method='text')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{http://dlmf.nist.gov/LaTeXML}Math  n’ayant que des singularités\n",
      "quotient.\n"
     ]
    }
   ],
   "source": [
    "for n in p.findall('latexml:text/latexml:Math', ns):\n",
    "    print(n.tag, n.tail)\n",
    "#list(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 260,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "' n’ayant que des singularités\\nquotient.'"
      ]
     },
     "execution_count": 260,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(pa)[0].tail"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "import parsing_xml as px\n",
    "ns = {'latexml': 'http://dlmf.nist.gov/LaTeXML' }\n",
    "X = px.DefinitionsXML('../malo_file/SpecialCodimensionOneHurwitz.xml')\n",
    "dl = X.find_definitions()\n",
    "#D1 = X.get_def_text()[1]\n",
    "#nltk.word_tokenize(D1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'<ns0:theorem xmlns:ns0=\"http://dlmf.nist.gov/LaTeXML\" class=\"ltx_theorem_defn\" inlist=\"thm theorem:defn\" labels=\"LABEL:excessdefn\" xml:id=\"S2.Thmthm3\">\\n        <ns0:tags>\\n          <ns0:tag>Definition 2.3</ns0:tag>\\n          <ns0:tag role=\"autoref\">2.3</ns0:tag>\\n          <ns0:tag role=\"refnum\">2.3</ns0:tag>\\n          <ns0:tag role=\"typerefnum\">Definition 2.3</ns0:tag>\\n        </ns0:tags>\\n        <ns0:title class=\"ltx_runin\"><ns0:tag><ns0:text font=\"bold\">Definition 2.3</ns0:text></ns0:tag>.</ns0:title>\\n      </ns0:theorem>\\n    '"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ET.tostring(dl[7],encoding='utf-8').decode('utf-8')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 <Element '{http://dlmf.nist.gov/LaTeXML}para' at 0x7f1ae4a91368>\n",
      "1 <Element '{http://dlmf.nist.gov/LaTeXML}para' at 0x7f1ae4a4b318>\n",
      "2 <Element '{http://dlmf.nist.gov/LaTeXML}para' at 0x7f1ae44f69a8>\n",
      "3 <Element '{http://dlmf.nist.gov/LaTeXML}para' at 0x7f1ae451d548>\n",
      "4 <Element '{http://dlmf.nist.gov/LaTeXML}para' at 0x7f1ae43d54a8>\n",
      "5 <Element '{http://dlmf.nist.gov/LaTeXML}para' at 0x7f1ae2fc6818>\n",
      "6 <Element '{http://dlmf.nist.gov/LaTeXML}para' at 0x7f1ae2f59408>\n"
     ]
    },
    {
     "ename": "ValueError",
     "evalue": "para tag not found in file: ../malo_file/SpecialCodimensionOneHurwitz.xml with message: \n b'<ns0:theorem xmlns:ns0=\"http://dlmf.nist.gov/LaTeXML\" class=\"ltx_theorem_defn\" inlist=\"thm theorem:defn\" labels=\"LABEL:excessdefn\" xml:id=\"S2.Thmthm3\">\\n        <ns0:tags>\\n          <ns0:tag>Definition 2.3</ns0:tag>\\n          <ns0:tag role=\"autoref\">2.3</ns0:tag>\\n          <ns0:tag role=\"refnum\">2.3</ns0:tag>\\n          <ns0:tag role=\"typerefnum\">Definition 2.3</ns0:tag>\\n        </ns0:tags>\\n        <ns0:title class=\"ltx_runin\"><ns0:tag><ns0:text font=\"bold\">Definition 2.3</ns0:text></ns0:tag>.</ns0:title>\\n      </ns0:theorem>\\n    '",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mIndexError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[0;32m~/MisDocumentos/arxivBulkDownload/arxivDownload/parsing_xml.py\u001b[0m in \u001b[0;36mpara_p\u001b[0;34m(self, root)\u001b[0m\n\u001b[1;32m     80\u001b[0m         \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 81\u001b[0;31m             \u001b[0mroot_found\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mroot\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfindall\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'.//latexml:para'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mns\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     82\u001b[0m         \u001b[0;32mexcept\u001b[0m \u001b[0mIndexError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mIndexError\u001b[0m: list index out of range",
      "\nDuring handling of the above exception, another exception occurred:\n",
      "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-48-11c0e8d1c5ec>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mk\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0md\u001b[0m \u001b[0;32min\u001b[0m \u001b[0menumerate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdef_lst\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m     \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpara_p\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0md\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;32m~/MisDocumentos/arxivBulkDownload/arxivDownload/parsing_xml.py\u001b[0m in \u001b[0;36mpara_p\u001b[0;34m(self, root)\u001b[0m\n\u001b[1;32m     82\u001b[0m         \u001b[0;32mexcept\u001b[0m \u001b[0mIndexError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     83\u001b[0m             raise ValueError('para tag not found in file: %s with message: \\n %s'\n\u001b[0;32m---> 84\u001b[0;31m                     %(self.file_path, ET.tostring(root)))\n\u001b[0m\u001b[1;32m     85\u001b[0m         \u001b[0;32mreturn\u001b[0m \u001b[0mroot_found\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     86\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mValueError\u001b[0m: para tag not found in file: ../malo_file/SpecialCodimensionOneHurwitz.xml with message: \n b'<ns0:theorem xmlns:ns0=\"http://dlmf.nist.gov/LaTeXML\" class=\"ltx_theorem_defn\" inlist=\"thm theorem:defn\" labels=\"LABEL:excessdefn\" xml:id=\"S2.Thmthm3\">\\n        <ns0:tags>\\n          <ns0:tag>Definition 2.3</ns0:tag>\\n          <ns0:tag role=\"autoref\">2.3</ns0:tag>\\n          <ns0:tag role=\"refnum\">2.3</ns0:tag>\\n          <ns0:tag role=\"typerefnum\">Definition 2.3</ns0:tag>\\n        </ns0:tags>\\n        <ns0:title class=\"ltx_runin\"><ns0:tag><ns0:text font=\"bold\">Definition 2.3</ns0:text></ns0:tag>.</ns0:title>\\n      </ns0:theorem>\\n    '"
     ]
    }
   ],
   "source": [
    "for k,d in enumerate(X.def_lst):\n",
    "    print(k,X.para_p(d))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 256,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<Element '{http://dlmf.nist.gov/LaTeXML}tag' at 0x7f79d63b4778>]"
      ]
     },
     "execution_count": 256,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "empty_if_none = lambda s: s if s else ''\n",
    "def recu(el):\n",
    "    if list(el) == []: # or el.tag == '{http://dlmf.nist.gov/LaTeXML}Math':\n",
    "        return []\n",
    "    else:\n",
    "        str_thingy = []\n",
    "        for ele in list(el):\n",
    "            if ele.tag != '{http://dlmf.nist.gov/LaTeXML}Math':\n",
    "                str_thingy.append(ele) \n",
    "                str_thingy += recu(ele)\n",
    "        return str_thingy\n",
    "            \n",
    "compare1 = recu(list(dl[1])[0])\n",
    "compare1\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 219,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<Element '{http://dlmf.nist.gov/LaTeXML}title' at 0x7f79d2346548>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}tag' at 0x7f79d2346598>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}para' at 0x7f79d23465e8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}itemize' at 0x7f79d2346638>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}item' at 0x7f79d2346688>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}tag' at 0x7f79d23466d8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346728>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}para' at 0x7f79d23467c8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}p' at 0x7f79d2346818>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346868>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}Math' at 0x7f79d23468b8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMath' at 0x7f79d2346908>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d2346958>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d23469a8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d23469f8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d2346a98>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346ae8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346b88>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346bd8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}cite' at 0x7f79d2346c28>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346c78>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}bibref' at 0x7f79d2346cc8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346d18>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346d68>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346db8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346e08>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}Math' at 0x7f79d2346ea8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMath' at 0x7f79d2346ef8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMDual' at 0x7f79d2346f48>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d2346f98>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d234d098>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d234d138>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d234d1d8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMWrap' at 0x7f79d234d228>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d234d2c8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d234d368>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d234d408>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d234d4a8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d234d548>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d234d688>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d234d728>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d234d7c8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d234d868>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d234d908>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d234da48>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d234da98>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}Math' at 0x7f79d234dae8>,\n",
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       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22ef0e8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d22ef188>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d22ef228>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMWrap' at 0x7f79d22ef318>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22ef3b8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22ef4a8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22ef548>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22ef5e8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22ef688>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22ef778>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMDual' at 0x7f79d22ef8b8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22ef958>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22ef9f8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d22efa98>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d22efb38>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMWrap' at 0x7f79d22efc28>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22efcc8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22efd68>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22efe08>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22efea8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22eff98>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f30e8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22f3188>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f3228>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f32c8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22f33b8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f3458>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f34f8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f3598>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f36d8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22f3778>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}Math' at 0x7f79d22f37c8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMath' at 0x7f79d22f3818>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22f3868>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f38b8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22f3908>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f39a8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f3a98>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMDual' at 0x7f79d22f3b38>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22f3bd8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f3c78>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d22f3d18>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d22f3db8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d22f3e58>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d22f3ef8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMWrap' at 0x7f79d22f9048>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f90e8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f9188>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f9278>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f9318>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f93b8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f9458>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f94f8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f9598>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f9638>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22f9728>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f97c8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f98b8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMDual' at 0x7f79d22f9958>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22f99f8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f9a98>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d22f9b38>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d22f9bd8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d22f9c78>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d22f9d18>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMWrap' at 0x7f79d22f9e08>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22f9ea8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22f9f48>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fc048>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fc0e8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fc1d8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fc318>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fc3b8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fc458>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fc4f8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fc598>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fc638>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fc6d8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22fc7c8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}Math' at 0x7f79d22fc818>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMath' at 0x7f79d22fc868>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22fc8b8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fc908>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22fc958>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fc9f8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fca98>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fcb38>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22fcb88>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fcc28>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22fcd18>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fcdb8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fce58>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22fcef8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMDual' at 0x7f79d22ff048>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMApp' at 0x7f79d22ff0e8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22ff188>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d22ff228>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d22ff2c8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMRef' at 0x7f79d22ff368>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMWrap' at 0x7f79d22ff458>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22ff4f8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22ff598>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22ff638>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22ff6d8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22ff778>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22ff818>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}XMTok' at 0x7f79d22ff8b8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22ff9a8>]"
      ]
     },
     "execution_count": 219,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def recu2(root):\n",
    "    ret_lst = []\n",
    "    for el in list(root):\n",
    "        ret_lst.append(el)\n",
    "        ret_lst += recu2(el)\n",
    "    return ret_lst\n",
    "recu2(dl[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 218,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<Element '{http://dlmf.nist.gov/LaTeXML}title' at 0x7f79d2346548>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}tag' at 0x7f79d2346598>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}para' at 0x7f79d23465e8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}itemize' at 0x7f79d2346638>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}item' at 0x7f79d2346688>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}tag' at 0x7f79d23466d8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346728>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}para' at 0x7f79d23467c8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}p' at 0x7f79d2346818>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346868>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346ae8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346b88>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346bd8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}cite' at 0x7f79d2346c28>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346c78>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}bibref' at 0x7f79d2346cc8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346d18>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346d68>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346db8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2346e08>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d234da98>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d2351638>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22d96d8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22d9818>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}item' at 0x7f79d22d9868>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}tag' at 0x7f79d22d98b8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22d9908>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}para' at 0x7f79d22d99a8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}p' at 0x7f79d22d99f8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22d9a48>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22d9bd8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22d9c28>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22d9c78>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22d9d18>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22dea48>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22debd8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22ded68>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22deef8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}item' at 0x7f79d22def48>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}tag' at 0x7f79d22def98>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22e3048>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}para' at 0x7f79d22e30e8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}p' at 0x7f79d22e3138>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22e3188>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22e3318>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22e35e8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22e3a48>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22e3c28>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22e8b38>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22ea9f8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22eab88>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22ead68>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22f3778>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22fc7c8>,\n",
       " <Element '{http://dlmf.nist.gov/LaTeXML}text' at 0x7f79d22ff9a8>]"
      ]
     },
     "execution_count": 218,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "recu2(dl[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 220,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 220,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dl[1].findall('.//') == recu2(dl[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 153,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<Element {http://dlmf.nist.gov/LaTeXML}title at 0x7f79d2644c08>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}tag at 0x7f79d27aa1c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}para at 0x7f79d2631dc8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}itemize at 0x7f79d2631ec8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}item at 0x7f79d2631e88>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}tag at 0x7f79d29fe1c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}text at 0x7f79d29fe188>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}para at 0x7f79d29fe208>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}p at 0x7f79d29fe248>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}text at 0x7f79d29fe148>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMath at 0x7f79d29fe288>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29fe2c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29fe308>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29fe348>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29fe388>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}text at 0x7f79d29fe3c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}text at 0x7f79d29fe408>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}text at 0x7f79d29fe448>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}cite at 0x7f79d29fe488>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}text at 0x7f79d29fe4c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}bibref at 0x7f79d29fe508>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}text at 0x7f79d29fe548>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}text at 0x7f79d29fe588>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}text at 0x7f79d29fe5c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}text at 0x7f79d29fe608>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMath at 0x7f79d29fe648>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMDual at 0x7f79d29fe688>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29fe6c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29fe708>,\n",
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       " <Element {http://dlmf.nist.gov/LaTeXML}XMDual at 0x7f79d29efd88>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29efdc8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29efe08>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMRef at 0x7f79d29efe48>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMRef at 0x7f79d29efe88>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMWrap at 0x7f79d29efec8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29eff08>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29eff48>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29eff88>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29effc8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1048>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1088>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29f10c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1108>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1148>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29f1188>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f11c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1208>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1248>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1288>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}text at 0x7f79d29f12c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMath at 0x7f79d29f1308>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29f1348>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1388>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29f13c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1408>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1448>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMDual at 0x7f79d29f1488>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29f14c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1508>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMRef at 0x7f79d29f1548>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMRef at 0x7f79d29f1588>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMRef at 0x7f79d29f15c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMRef at 0x7f79d29f1608>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMWrap at 0x7f79d29f1648>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1688>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f16c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1708>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1748>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1788>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f17c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1808>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1848>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1888>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29f18c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1908>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1948>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMDual at 0x7f79d29f1988>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29f19c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1a08>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMRef at 0x7f79d29f1a48>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMRef at 0x7f79d29f1a88>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMRef at 0x7f79d29f1ac8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMRef at 0x7f79d29f1b08>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMWrap at 0x7f79d29f1b48>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1b88>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29f1bc8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1c08>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1c48>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1c88>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1cc8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1d08>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1d48>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1d88>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1dc8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1e08>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1e48>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}text at 0x7f79d29f1e88>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMath at 0x7f79d29f1ec8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29f1f08>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1f48>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29f1f88>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29f1fc8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29e6048>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29e6088>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29e60c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29e6108>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29e6148>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29e6188>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29e61c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29e6208>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMDual at 0x7f79d29e6248>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMApp at 0x7f79d29e6288>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29e62c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMRef at 0x7f79d29e6308>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMRef at 0x7f79d29e6348>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMRef at 0x7f79d29e6388>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMWrap at 0x7f79d29e63c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29e6408>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29e6448>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29e6488>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29e64c8>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29e6508>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29e6548>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}XMTok at 0x7f79d29e6588>,\n",
       " <Element {http://dlmf.nist.gov/LaTeXML}text at 0x7f79d29e65c8>]"
      ]
     },
     "execution_count": 153,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from lxml import etree\n",
    "root = etree.parse('../2004_ends_with_3/math.0407523/math.0407523.xml')\n",
    "dd = root.findall('.//latexml:theorem[@class=\"ltx_theorem_definition\"]', ns)[1]\n",
    "dd.xpath('.//*[not(self::latexml:Math)]', namespaces=ns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Y = px.DefinitionsXML('../2004_ends_with_3/math.0412433/math.0412433.xml')\n",
    "Y.get_def_text()\n",
    "TT = nltk.tokenize.TweetTokenizer()\n",
    "ss.issubset(set(Y.get_def_text()[0].split()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "ss = {'.',\n",
    " ';',\n",
    " 'Kirwan',\n",
    " 'Let',\n",
    " 'We',\n",
    " 'be',\n",
    " 'codimension',\n",
    " 'components',\n",
    " 'divisorial',\n",
    " 'having',\n",
    " 'if',\n",
    " 'in',\n",
    " 'irreducible',\n",
    " 'is',\n",
    " 'locus',\n",
    " 'mild',\n",
    " 'of',\n",
    " 'one',\n",
    " 'other',\n",
    " 'part',\n",
    " 'resolution',\n",
    " 'say',\n",
    " 'shall',\n",
    " 'that',\n",
    " 'the',\n",
    " 'union',\n",
    " 'unstable',\n",
    " 'words,'}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 272,
   "metadata": {},
   "outputs": [],
   "source": [
    "# CASE STUDY 1\n",
    "import parsing_xml as px\n",
    "ns = {'latexml': 'http://dlmf.nist.gov/LaTeXML' }\n",
    "X = px.DefinitionsXML('tests/latexmled_files/math.0402243.xml')\n",
    "dl = X.find_definitions()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 273,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'                '"
      ]
     },
     "execution_count": 273,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "px.text1(X.para_p(dl[3]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 274,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'une orbifolde pure  de dimension complexe  est dite de calabi-yau (resp. hyperkälérienne) si elle est compacte, simplement connexe au sens orbifolde, et si elle admet une métrique kählérienne ricci plate dont la restriction à sa partie lisse est d’holonomie irréductible égale à  (resp. ). '"
      ]
     },
     "execution_count": 274,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "px.recutext1(X.para_p(dl[3]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 280,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['let               be the divisorial part of the unstable locus of              ; in other words,               is the union of the irreducible components of               having codimension one in              . we shall say that the kirwan resolution               is mild if              .']"
      ]
     },
     "execution_count": 280,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# CASE STUDY 2\n",
    "import parsing_xml as px\n",
    "ns = {'latexml': 'http://dlmf.nist.gov/LaTeXML' }\n",
    "X = px.DefinitionsXML('tests/latexmled_files/math.0412433.xml')\n",
    "dl = X.find_definitions()\n",
    "X.get_def_text()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 281,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'       definition 1.              let         be the divisorial part of the unstable locus of ; in other words,  is the union of the irreducible components of  having codimension one in . we shall say that the kirwan resolution  is mild if .'"
      ]
     },
     "execution_count": 281,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "px.recutext1(dl[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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