ag-gipp/GoUldI

{
  "definitions" : {
    "A" : [ "general multivector", { } ],
    "M" : [ "reflection versor", {
      "Q2518235" : "Versor"
    } ],
    "\\alpha" : [ {
      "Q782566" : "automorphism (isomorphism from a mathematical object to itself)"
    } ]
  },
  "constraints" : [ ],
  "math_inputtex" : "\\, A \\mapsto M\\alpha(A)M^{-1} ,",
  "math_inputtex_semantic" : "\\w{Q2377336}{A} \\mapsto \\w{Q2518235}{M} \\wf{Q782566}{\\alpha}(A) \\w{Q2518235}{M}^{-1}",
  "correct_tex" : "A \\mapsto M \\alpha(A) M^{-1}",
  "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"A\\mapsto M\\alpha(A)M^{-1}\" 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      <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">A</mi>\n      <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">↦</mo>\n      <mrow id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\n        <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">M</mi>\n        <mo id=\"p1.1.m1.1.10.1.1\" xref=\"p1.1.m1.1.10.1.1.cmml\">⁢</mo>\n        <mrow id=\"p1.1.m1.1.10.1.2.2\" xref=\"p1.1.m1.1.10.1.2.1.cmml\">\n          <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">α</mi>\n          <mo id=\"p1.1.m1.1.10.1.2.2a\" xref=\"p1.1.m1.1.10.1.2.1.cmml\">⁡</mo>\n          <mrow id=\"p1.1.m1.1.10.1.2.2.1\" xref=\"p1.1.m1.1.10.1.2.1.cmml\">\n            <mo stretchy=\"false\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.10.1.2.1.cmml\">(</mo>\n            <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">A</mi>\n            <mo stretchy=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.10.1.2.1.cmml\">)</mo>\n          </mrow>\n        </mrow>\n        <mo id=\"p1.1.m1.1.10.1.1a\" xref=\"p1.1.m1.1.10.1.1.cmml\">⁢</mo>\n        <msup id=\"p1.1.m1.1.10.1.3\" xref=\"p1.1.m1.1.10.1.3.cmml\">\n          <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">M</mi>\n          <mrow id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\n            <mo id=\"p1.1.m1.1.9.1.1\" xref=\"p1.1.m1.1.9.1.1.cmml\">-</mo>\n            <mn id=\"p1.1.m1.1.9.1.2\" xref=\"p1.1.m1.1.9.1.2.cmml\">1</mn>\n          </mrow>\n        </msup>\n      </mrow>\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        <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">maps-to</csymbol>\n        <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q2377336</csymbol>\n        <apply id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\">\n          <times id=\"p1.1.m1.1.10.1.1.cmml\" xref=\"p1.1.m1.1.10.1.1\"/>\n          <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">Q2518235</csymbol>\n          <apply id=\"p1.1.m1.1.10.1.2.1.cmml\" xref=\"p1.1.m1.1.10.1.2.2\">\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">Q782566</csymbol>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">Q2377336</csymbol>\n          </apply>\n          <apply id=\"p1.1.m1.1.10.1.3.cmml\" xref=\"p1.1.m1.1.10.1.3\">\n            <power  xref=\"p1.1.m1.1.10.1.3\"/>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">Q2518235</csymbol>\n            <apply id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\n              <minus id=\"p1.1.m1.1.9.1.1.cmml\" xref=\"p1.1.m1.1.9.1.1\"/>\n              <cn type=\"integer\" id=\"p1.1.m1.1.9.1.2.cmml\" xref=\"p1.1.m1.1.9.1.2\">1</cn>\n            </apply>\n          </apply>\n        </apply>\n      </apply>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">A\\mapsto M\\alpha(A)M^{-1}</annotation>\n  </semantics>\n</math>",
  "uri" : "https://en.formulasearchengine.com/w/index.php?oldid=460#math460.81",
  "title" : "Geometric_algebra",
  "type" : "relation"
}