ag-gipp/GoUldI

{
  "definitions" : {
    "k" : [ {
      "Q21199" : "natural number (numbers used for counting and ordering)"
    } ],
    "mathfrak{C}" : [ {
      "Q22952648" : "cardinality of the continuum"
    } ]
  },
  "constraints" : [ ],
  "math_inputtex" : "\\left\\{3k+4\\ \\right\\}\\subset\\mathfrak{C},",
  "math_inputtex_semantic" : "\\left\\{ 3 \\w{Q21199}{k} + 4 \\right\\} \\w{Q177646}{\\subset} \\w{Q22952648}{\\mathfrak{C}}",
  "correct_tex" : "\\left\\{3k+4\\ \\right\\}\\subset\\mathfrak{C}",
  "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"\\left\\{3k+4\\right\\}\\subset\\mathfrak{C}\" display=\"inline\">\n  <semantics id=\"p1.1.m1.1a\">\n    <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n      <mrow id=\"p1.1.m1.1.9.2\" xref=\"p1.1.m1.1.9.2.1.cmml\">\n        <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.9.2.1.cmml\">{</mo>\n        <mrow id=\"p1.1.m1.1.9.2.2\" xref=\"p1.1.m1.1.9.2.2.cmml\">\n          <mrow id=\"p1.1.m1.1.9.2.2.1\" xref=\"p1.1.m1.1.9.2.2.1.cmml\">\n            <mn id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">3</mn>\n            <mo id=\"p1.1.m1.1.9.2.2.1.1\" xref=\"p1.1.m1.1.9.2.2.1.1.cmml\">⁢</mo>\n            <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">k</mi>\n          </mrow>\n          <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">+</mo>\n          <mn id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">4</mn>\n        </mrow>\n        <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.9.2.1.cmml\">}</mo>\n      </mrow>\n      <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">⁢</mo>\n      <mi mathvariant=\"normal\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">⊂</mi>\n      <mo id=\"p1.1.m1.1.9.1a\" xref=\"p1.1.m1.1.9.1.cmml\">⁢</mo>\n      <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">ℭ</mi>\n    </mrow>\n    <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n      <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n        <times id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\"/>\n        <set id=\"p1.1.m1.1.9.2.1.cmml\" xref=\"p1.1.m1.1.9.2\">\n          <apply id=\"p1.1.m1.1.9.2.2.cmml\" xref=\"p1.1.m1.1.9.2.2\">\n            <plus id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"/>\n            <apply id=\"p1.1.m1.1.9.2.2.1.cmml\" xref=\"p1.1.m1.1.9.2.2.1\">\n              <times id=\"p1.1.m1.1.9.2.2.1.1.cmml\" xref=\"p1.1.m1.1.9.2.2.1.1\"/>\n              <cn type=\"integer\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">3</cn>\n              <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">Q21199</csymbol>\n            </apply>\n            <cn type=\"integer\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">4</cn>\n          </apply>\n        </set>\n        <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">Q177646</csymbol>\n        <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">Q22952648</csymbol>\n      </apply>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">\\left\\{3k+4\\right\\}\\subset\\mathfrak{C}</annotation>\n  </semantics>\n</math>",
  "uri" : "https://arxiv.org/abs/0704.1057",
  "title" : "Collatz 3n+1 conjecture Context 1",
  "comment" : "",
  "type" : "relation",
  "ntcir12-type" : "15",
  "formula" : "1_12.1",
  "page" : "4",
  "ntcir12-relevance" : "4"
}