data/275.json
{
"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"
}