data/273.json
{
"definitions" : {
"f" : [ {
"Q11348" : "function"
} ],
"\\mathbb{N}" : [ {
"Q28777634" : "set of natural numbers"
} ]
},
"constraints" : [ ],
"math_inputtex" : "f:{\\mathbb{N}_{1}}\\to{\\mathbb{N}_{1}}",
"math_inputtex_semantic" : "\\wf{Q11348}{f}: {\\w{Q28777634}{\\mathbb{N}}_{1}}\\to{\\mathbb{N}_{1}}",
"correct_tex" : "f:{\\mathbb{N}_{1}}\\to{\\mathbb{N}_{1}}",
"correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"f:{\\mathbb{N}_{1}}\\to{\\mathbb{N}_{1}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">f</mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">:</mo>\n <mrow id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\n <msub id=\"p1.1.m1.1.8.1.1\" xref=\"p1.1.m1.1.8.1.1.cmml\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">ℕ</mi>\n <mn id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">1</mn>\n </msub>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">→</mo>\n <msub id=\"p1.1.m1.1.8.1.2\" xref=\"p1.1.m1.1.8.1.2.cmml\">\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">ℕ</mi>\n <mn id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">1</mn>\n </msub>\n </mrow>\n </mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">:</ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q11348</csymbol>\n <apply id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">→</ci>\n <apply id=\"p1.1.m1.1.8.1.1.cmml\" xref=\"p1.1.m1.1.8.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.1.1.1.cmml\" xref=\"p1.1.m1.1.8.1.1\">subscript</csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">Q28777634</csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\">1</cn>\n </apply>\n <apply id=\"p1.1.m1.1.8.1.2.cmml\" xref=\"p1.1.m1.1.8.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.1.2.1.cmml\" xref=\"p1.1.m1.1.8.1.2\">subscript</csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">Q28777634</csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\">1</cn>\n </apply>\n </apply>\n </apply>\n </annotation-xml>\n <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">f:{\\mathbb{N}_{1}}\\to{\\mathbb{N}_{1}}</annotation>\n </semantics>\n</math>",
"uri" : "https://arxiv.org/abs/math/0410481",
"title" : "Collatz 3n+1 conjecture Context 2",
"comment" : "",
"type" : "definition",
"ntcir12-type" : "15",
"formula" : "1_12.1",
"page" : "7",
"ntcir12-relevance" : "4"
}