UNPKG

mathmlben

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Visualization for goldstandard

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{ "definitions" : { "k" : [ { "Q21199" : "natural number (numbers used for counting and ordering)" } ], "n" : [ { "Q21199" : "natural number (numbers used for counting and ordering)" } ] }, "constraints" : [ "1\\leq k\\leq n-1," ], "math_inputtex" : "(1+2+\\ldots+k+\\ldots+(n-1))", "math_inputtex_semantic" : "(1+2+\\ldots+\\w{Q21199}{k}+\\ldots+(\\w{Q21199}{n}-1))", "correct_tex" : "(1+2+\\ldots+k+\\ldots+(n-1))", "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"(1+2+\\ldots+k+\\ldots+(n-1))\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.18.2.cmml\">(</mo>\n <mrow id=\"p1.1.m1.1.18.2\" xref=\"p1.1.m1.1.18.2.cmml\">\n <mn id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">1</mn>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">+</mo>\n <mn id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">2</mn>\n <mo id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">+</mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">…</mi>\n <mo id=\"p1.1.m1.1.3b\" xref=\"p1.1.m1.1.3.cmml\">+</mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">k</mi>\n <mo id=\"p1.1.m1.1.3c\" xref=\"p1.1.m1.1.3.cmml\">+</mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">…</mi>\n <mo id=\"p1.1.m1.1.3d\" xref=\"p1.1.m1.1.3.cmml\">+</mo>\n <mrow id=\"p1.1.m1.1.18.2.1\" xref=\"p1.1.m1.1.18.2.1.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.18.2.1.2.cmml\">(</mo>\n <mrow id=\"p1.1.m1.1.18.2.1.2\" xref=\"p1.1.m1.1.18.2.1.2.cmml\">\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">n</mi>\n <mo id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">-</mo>\n <mn id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">1</mn>\n </mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.18.2.1.2.cmml\">)</mo>\n </mrow>\n </mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.18.2.cmml\">)</mo>\n </mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.18.2.cmml\" xref=\"p1.1.m1.1.18\">\n <plus id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"/>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">1</cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">2</cn>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">…</ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">Q21199</csymbol>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">…</ci>\n <apply id=\"p1.1.m1.1.18.2.1.2.cmml\" xref=\"p1.1.m1.1.18.2.1\">\n <minus id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\"/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">Q21199</csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">1</cn>\n </apply>\n </apply>\n </annotation-xml>\n <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">(1+2+\\ldots+k+\\ldots+(n-1))</annotation>\n </semantics>\n</math>", "uri" : "https://arxiv.org/abs/0904.3855", "title" : "Arithmetic Progression", "comment" : "", "type" : "general formula", "ntcir12-type" : "3", "formula" : "1_220.496", "page" : "44", "ntcir12-relevance" : "4" }