ag-gipp/GoUldI

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data/25.json

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{
  "definitions" : {
    "\\lambda" : [ "length", {
      "Q36253" : "length (measured dimension of an object)"
    } ],
    "L" : [ "lattice", {
      "Q1096885" : "lattice (subgroup of a real vector space or a Lie group)"
    } ],
    "B" : [ {
      "Q189569" : "basis"
    } ],
    "d" : [ "number", {
      "Q3176558" : "positive number (real number strictly greater than zero)"
    } ]
  },
  "constraints" : [ ],
  "math_inputtex" : "\\lambda(L(B)) \\leq d",
  "math_inputtex_semantic" : "\\wf{Q36253}{\\lambda}(\\wf{Q1096885}{L}(\\wf{Q189569}{B})) \\leq \\w{Q3176558}{d}",
  "correct_tex" : "\\lambda(L(B)) \\leq d",
  "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"\\lambda(L(B))\\leq d\" display=\"inline\">\n  <semantics id=\"p1.1.m1.1a\">\n    <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n      <mrow id=\"p1.1.m1.1.10.1.2\" xref=\"p1.1.m1.1.10.1.1.cmml\">\n        <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">λ</mi>\n        <mo id=\"p1.1.m1.1.10.1.2a\" xref=\"p1.1.m1.1.10.1.1.cmml\">⁡</mo>\n        <mrow id=\"p1.1.m1.1.10.1.2.2\" xref=\"p1.1.m1.1.10.1.1.cmml\">\n          <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.10.1.1.cmml\">(</mo>\n          <mrow id=\"p1.1.m1.1.10.1.2.1.2\" xref=\"p1.1.m1.1.10.1.2.1.1.cmml\">\n            <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">L</mi>\n            <mo id=\"p1.1.m1.1.10.1.2.1.2a\" xref=\"p1.1.m1.1.10.1.2.1.1.cmml\">⁡</mo>\n            <mrow id=\"p1.1.m1.1.10.1.2.1.2.1\" xref=\"p1.1.m1.1.10.1.2.1.1.cmml\">\n              <mo stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.10.1.2.1.1.cmml\">(</mo>\n              <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">B</mi>\n              <mo stretchy=\"false\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.10.1.2.1.1.cmml\">)</mo>\n            </mrow>\n          </mrow>\n          <mo stretchy=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.10.1.1.cmml\">)</mo>\n        </mrow>\n      </mrow>\n      <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">≤</mo>\n      <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">d</mi>\n    </mrow>\n    <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n      <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n        <leq id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"/>\n        <apply id=\"p1.1.m1.1.10.1.1.cmml\" xref=\"p1.1.m1.1.10.1.2\">\n          <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q36253</csymbol>\n          <apply id=\"p1.1.m1.1.10.1.2.1.1.cmml\" xref=\"p1.1.m1.1.10.1.2.1.2\">\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">Q1096885</csymbol>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">Q189569</csymbol>\n          </apply>\n        </apply>\n        <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">Q3176558</csymbol>\n      </apply>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">\\lambda(L(B))\\leq d</annotation>\n  </semantics>\n</math>",
  "uri" : "https://en.formulasearchengine.com/w/index.php?oldid=22618#math22618.22",
  "title" : "Lattice_problem",
  "type" : "relation"
}