data/62.json
{
"definitions" : {
"T" : [ {
"Q131030" : "operator (mapping from one vector space or module to another in mathematics)"
} ],
"\\lambda" : [ {
"Q21406831" : "eigenvalue"
} ],
"I" : [ "identity operator", {
"Q131030" : "operator (mapping from one vector space or module to another in mathematics)"
} ]
},
"constraints" : [ ],
"math_inputtex" : "T-\\lambda I",
"math_inputtex_semantic" : "\\w{Q131030}{T} - \\w{Q21406831}{\\lambda} \\w{Q131030}{I}",
"correct_tex" : "T-\\lambda I",
"correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"T-\\lambda I\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">T</mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">-</mo>\n <mrow id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">λ</mi>\n <mo id=\"p1.1.m1.1.5.1.1\" xref=\"p1.1.m1.1.5.1.1.cmml\"></mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">I</mi>\n </mrow>\n </mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <minus id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q131030</csymbol>\n <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\n <times id=\"p1.1.m1.1.5.1.1.cmml\" xref=\"p1.1.m1.1.5.1.1\"/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">Q21406831</csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">Q131030</csymbol>\n </apply>\n </apply>\n </annotation-xml>\n <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">T-\\lambda I</annotation>\n </semantics>\n</math>",
"uri" : "https://en.formulasearchengine.com/w/index.php?oldid=2951#math2951.17",
"title" : "Spectrum_(functional_analysis)",
"type" : "general formula"
}