ag-gipp/GoUldI

{
  "definitions" : {
    "n" : [ {
      "Q21199" : "natural number"
    } ],
    "k" : [ {
      "Q21199" : "natural number"
    } ]
  },
  "constraints" : [ ],
  "math_inputtex" : "1\\leq k\\leq n-1",
  "math_inputtex_semantic" : "1 \\leq \\w{Q21199}{k} \\leq \\w{Q21199}{n} - 1",
  "correct_tex" : "1\\leq k\\leq n-1",
  "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"1\\leq k\\leq 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      <mn id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">1</mn>\n      <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">≤</mo>\n      <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">k</mi>\n      <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">≤</mo>\n      <mrow id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.2.cmml\">\n        <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">n</mi>\n        <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">-</mo>\n        <mn id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">1</mn>\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        <and id=\"p1.1.m1.1.8a.cmml\" xref=\"p1.1.m1.1.8\"/>\n        <apply id=\"p1.1.m1.1.8b.cmml\" xref=\"p1.1.m1.1.8\">\n          <leq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"/>\n          <cn type=\"integer\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">1</cn>\n          <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">Q21199</csymbol>\n        </apply>\n        <apply id=\"p1.1.m1.1.8c.cmml\" xref=\"p1.1.m1.1.8\">\n          <leq id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"/>\n          <share href=\"#p1.1.m1.1.3.cmml\" id=\"p1.1.m1.1.8d.cmml\" xref=\"p1.1.m1.1.8\"/>\n          <apply id=\"p1.1.m1.1.8.2.cmml\" xref=\"p1.1.m1.1.8.2\">\n            <minus id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"/>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">Q21199</csymbol>\n            <cn type=\"integer\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">1</cn>\n          </apply>\n        </apply>\n      </apply>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">1\\leq k\\leq n-1</annotation>\n  </semantics>\n</math>",
  "uri" : "https://arxiv.org/abs/0904.3855",
  "title" : "Arithmetic Progression Context 1",
  "comment" : "",
  "type" : "relation",
  "ntcir12-type" : "3",
  "formula" : "1_369.6",
  "page" : "44",
  "ntcir12-relevance" : "4"
}