UNPKG

mathmlben

Version:

Visualization for goldstandard

github.com/ag-gipp/GoUldI

ag-gipp/GoUldI

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{ "definitions" : { "W" : [ { "Q7913892" : "Van der Waerden number" } ], "k" : [ { "Q12503" : "integer (number that can be written without a fractional or decimal component)" } ], "\\varepsilon" : [ { "Q3176558" : "positive number (real number strictly greater than zero)" } ] }, "constraints" : [ ], "math_inputtex" : "W(2, k) > 2^k/k^\\varepsilon", "math_inputtex_semantic" : "\\wf{Q7913892}{W}(2, \\w{Q12503}{k}) > {2}^{k}/{k}^{\\w{Q3176558}{\\varepsilon}}", "correct_tex" : "W(2, k) > 2^k/k^\\varepsilon", "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"W(2,k)&gt;{2}^{k}/{k}^{\\varepsilon}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <mrow id=\"p1.1.m1.1.13.1.2\" xref=\"p1.1.m1.1.13.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">W</mi>\n <mo id=\"p1.1.m1.1.13.1.2a\" xref=\"p1.1.m1.1.13.1.1.cmml\">⁡</mo>\n <mrow id=\"p1.1.m1.1.13.1.2.1\" xref=\"p1.1.m1.1.13.1.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.13.1.1.cmml\">(</mo>\n <mn id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">2</mn>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.13.1.1.cmml\">,</mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">k</mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.13.1.1.cmml\">)</mo>\n </mrow>\n </mrow>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">&gt;</mo>\n <mrow id=\"p1.1.m1.1.13.2\" xref=\"p1.1.m1.1.13.2.cmml\">\n <msup id=\"p1.1.m1.1.13.2.1\" xref=\"p1.1.m1.1.13.2.1.cmml\">\n <mn id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">2</mn>\n <mi id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">k</mi>\n </msup>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">/</mo>\n <msup id=\"p1.1.m1.1.13.2.2\" xref=\"p1.1.m1.1.13.2.2.cmml\">\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">k</mi>\n <mi id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">ε</mi>\n </msup>\n </mrow>\n </mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\n <gt id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"/>\n <apply id=\"p1.1.m1.1.13.1.1.cmml\" xref=\"p1.1.m1.1.13.1.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q7913892</csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">2</cn>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">Q12503</csymbol>\n </apply>\n <apply id=\"p1.1.m1.1.13.2.cmml\" xref=\"p1.1.m1.1.13.2\">\n <divide id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\"/>\n <apply id=\"p1.1.m1.1.13.2.1.cmml\" xref=\"p1.1.m1.1.13.2.1\">\n <power xmlns:m=\"http://www.w3.org/1998/Math/MathML\" xref=\"p1.1.m1.1.13.2.1\"/>\n <cn type=\"integer\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">2</cn>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">Q12503</csymbol>\n </apply>\n <apply id=\"p1.1.m1.1.13.2.2.cmml\" xref=\"p1.1.m1.1.13.2.2\">\n <power xmlns:m=\"http://www.w3.org/1998/Math/MathML\" xref=\"p1.1.m1.1.13.2.2\"/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">Q12503</csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\">Q3176558</csymbol>\n </apply>\n </apply>\n </apply>\n </annotation-xml>\n <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">W(2,k)&gt;{2}^{k}/{k}^{\\varepsilon}</annotation>\n </semantics>\n</math>", "uri" : "https://en.formulasearchengine.com/w/index.php?oldid=2459#math2459.3", "title" : "Van_der_Waerden's_theorem", "comment" : "", "type" : "relation", "check" : { "tree" : true, "qid" : true } }