data/259.json
{
"definitions" : {
"f_{0}" : [ {
"Q370502" : "mapping"
} ],
"\\f_{1}" : [ {
"Q370502" : "mapping"
} ],
"\\f_{2}" : [ {
"Q370502" : "mapping"
} ]
},
"constraints" : [ "f_{0}=\\varphi(M_{0})", "f_{0}=\\varphi(M_{1})", "f_{0}=\\varphi(M_{2})", "M_{1}*M_{2}=M_{0}*M_{0}" ],
"math_inputtex" : "f_{1}+f_{2}=2f_{0}",
"math_inputtex_semantic" : "\\wf{Q370502}{f}_{1} + f_{2} = 2 f_{0}",
"correct_tex" : "f_{1}+f_{2}=2f_{0}",
"correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"f_{1}+f_{2}=2f_{0}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mrow id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\n <msub id=\"p1.1.m1.1.10.1.1\" xref=\"p1.1.m1.1.10.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">f</mi>\n <mn id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">1</mn>\n </msub>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">+</mo>\n <msub id=\"p1.1.m1.1.10.1.2\" xref=\"p1.1.m1.1.10.1.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">f</mi>\n <mn id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">2</mn>\n </msub>\n </mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">=</mo>\n <mrow id=\"p1.1.m1.1.10.2\" xref=\"p1.1.m1.1.10.2.cmml\">\n <mn id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">2</mn>\n <mo id=\"p1.1.m1.1.10.2.1\" xref=\"p1.1.m1.1.10.2.1.cmml\"></mo>\n <msub id=\"p1.1.m1.1.10.2.2\" xref=\"p1.1.m1.1.10.2.2.cmml\">\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">f</mi>\n <mn id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">0</mn>\n </msub>\n </mrow>\n </mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <eq id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"/>\n <apply id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\">\n <plus id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"/>\n <apply id=\"p1.1.m1.1.10.1.1.cmml\" xref=\"p1.1.m1.1.10.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.10.1.1.1.cmml\" xref=\"p1.1.m1.1.10.1.1\">subscript</csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q370502</csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">1</cn>\n </apply>\n <apply id=\"p1.1.m1.1.10.1.2.cmml\" xref=\"p1.1.m1.1.10.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.10.1.2.1.cmml\" xref=\"p1.1.m1.1.10.1.2\">subscript</csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">Q370502</csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">2</cn>\n </apply>\n </apply>\n <apply id=\"p1.1.m1.1.10.2.cmml\" xref=\"p1.1.m1.1.10.2\">\n <times id=\"p1.1.m1.1.10.2.1.cmml\" xref=\"p1.1.m1.1.10.2.1\"/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">2</cn>\n <apply id=\"p1.1.m1.1.10.2.2.cmml\" xref=\"p1.1.m1.1.10.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.10.2.2.1.cmml\" xref=\"p1.1.m1.1.10.2.2\">subscript</csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">Q370502</csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">0</cn>\n </apply>\n </apply>\n </apply>\n </annotation-xml>\n <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">f_{1}+f_{2}=2f_{0}</annotation>\n </semantics>\n</math>",
"uri" : "https://arxiv.org/abs/1002.4757",
"title" : "Arithmetic mean: Context 2",
"comment" : "identifiers for M and varphi?",
"type" : "equation",
"ntcir12-type" : "1",
"formula" : "1_3.9",
"ntcir12-relevance" : "4"
}