| 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172 | <!doctype html><title>CodeMirror: Mathematica mode</title><meta charset="utf-8"/><link rel=stylesheet href="../../doc/docs.css"><link rel=stylesheet href=../../lib/codemirror.css><script src=../../lib/codemirror.js></script><script src=../../addon/edit/matchbrackets.js></script><script src=mathematica.js></script><style type=text/css>  .CodeMirror {border-top: 1px solid black; border-bottom: 1px solid black;}</style><div id=nav>  <a href="http://codemirror.net"><h1>CodeMirror</h1><img id=logo src="../../doc/logo.png"></a>  <ul>    <li><a href="../../index.html">Home</a>    <li><a href="../../doc/manual.html">Manual</a>    <li><a href="https://github.com/codemirror/codemirror">Code</a>  </ul>  <ul>    <li><a href="../index.html">Language modes</a>    <li><a class=active href="#">Mathematica</a>  </ul></div><article><h2>Mathematica mode</h2><textarea id="mathematicaCode">(* example Mathematica code *)(* Dualisiert wird anhand einer Polarität an einer   Quadrik $x^t Q x = 0$ mit regulärer Matrix $Q$ (also   mit $det(Q) \neq 0$), z.B. die Identitätsmatrix.   $p$ ist eine Liste von Polynomen - ein Ideal. *)dualize::"singular" = "Q must be regular: found Det[Q]==0.";dualize[ Q_, p_ ] := Block[    { m, n, xv, lv, uv, vars, polys, dual },    If[Det[Q] == 0,      Message[dualize::"singular"],      m = Length[p];      n = Length[Q] - 1;      xv = Table[Subscript[x, i], {i, 0, n}];      lv = Table[Subscript[l, i], {i, 1, m}];      uv = Table[Subscript[u, i], {i, 0, n}];      (* Konstruiere Ideal polys. *)      If[m == 0,        polys = Q.uv,        polys = Join[p, Q.uv - Transpose[Outer[D, p, xv]].lv]        ];      (* Eliminiere die ersten n + 1 + m Variablen xv und lv         aus dem Ideal polys. *)      vars = Join[xv, lv];      dual = GroebnerBasis[polys, uv, vars];      (* Ersetze u mit x im Ergebnis. *)      ReplaceAll[dual, Rule[u, x]]      ]    ]</textarea><script>  var mathematicaEditor = CodeMirror.fromTextArea(document.getElementById('mathematicaCode'), {    mode: 'text/x-mathematica',    lineNumbers: true,    matchBrackets: true  });</script><p><strong>MIME types defined:</strong> <code>text/x-mathematica</code> (Mathematica).</p></article>
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