mathmlben/data/275.json

Visualization for goldstandard

{
  "definitions" : {
    "S" : [ {
      "Q815018" : "Bekenstein bound"
    } ],
    "A" : [ {
      "Q11500" : "Area"
    } ],
    "G" : [ {
      "Q18373" : "Gravitational constant"
    } ]
  },
  "constraints" : [ ],
  "math_inputtex" : "\\displaystyle S\\leq\\frac{A}{4G},",
  "math_inputtex_semantic" : "\\w{Q815018}{S} \\leq \\frac{\\w{Q11500}{A}}{4\\w{Q18373}{G}}",
  "correct_tex" : "\\displaystyle S\\leq\\frac{A}{4G}",
  "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"S\\leq\\frac{A}{4G}\" display=\"inline\">\n  <semantics id=\"p1.1.m1.1a\">\n    <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n      <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">S</mi>\n      <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">≤</mo>\n      <mfrac id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n        <mi id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">A</mi>\n        <mrow id=\"p1.1.m1.1.3.3\" xref=\"p1.1.m1.1.3.3.cmml\">\n          <mn id=\"p1.1.m1.1.3.3.1\" xref=\"p1.1.m1.1.3.3.1.cmml\">4</mn>\n          <mo id=\"p1.1.m1.1.3.3.3\" xref=\"p1.1.m1.1.3.3.3.cmml\">⁢</mo>\n          <mi id=\"p1.1.m1.1.3.3.2\" xref=\"p1.1.m1.1.3.3.2.cmml\">G</mi>\n        </mrow>\n      </mfrac>\n    </mrow>\n    <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n      <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n        <leq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"/>\n        <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q815018</csymbol>\n        <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n          <divide id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3\"/>\n          <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">Q11500</csymbol>\n          <apply id=\"p1.1.m1.1.3.3.cmml\" xref=\"p1.1.m1.1.3.3\">\n            <times id=\"p1.1.m1.1.3.3.3.cmml\" xref=\"p1.1.m1.1.3.3.3\"/>\n            <cn type=\"integer\" id=\"p1.1.m1.1.3.3.1.cmml\" xref=\"p1.1.m1.1.3.3.1\">4</cn>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.3.2.cmml\" xref=\"p1.1.m1.1.3.3.2\">Q18373</csymbol>\n          </apply>\n        </apply>\n      </apply>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">S\\leq\\frac{A}{4G}</annotation>\n  </semantics>\n</math>",
  "uri" : "https://arxiv.org/abs/hep-th/0308165",
  "title" : "Bekenstein-Hawking bound on entropy Context 2",
  "type" : "relation",
  "ntcir12-type" : "25",
  "formula" : "1_15.2",
  "page" : "8",
  "ntcir12-relevance" : "4"
}