data/25.json
{
"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"
}