2016-07-23 05:29:20 +00:00
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<!doctype html>
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<title>CodeMirror: Mathematica mode</title>
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<meta charset="utf-8"/>
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<link rel=stylesheet href="../../doc/docs.css">
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<link rel=stylesheet href=../../lib/codemirror.css>
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<script src=../../lib/codemirror.js></script>
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<script src=../../addon/edit/matchbrackets.js></script>
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<script src=mathematica.js></script>
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<style type=text/css>
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.CodeMirror {border-top: 1px solid black; border-bottom: 1px solid black;}
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</style>
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<div id=nav>
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2019-10-15 08:40:42 +00:00
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<a href="https://codemirror.net"><h1>CodeMirror</h1><img id=logo src="../../doc/logo.png"></a>
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2016-07-23 05:29:20 +00:00
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<ul>
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<li><a href="../../index.html">Home</a>
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<li><a href="../../doc/manual.html">Manual</a>
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<li><a href="https://github.com/codemirror/codemirror">Code</a>
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</ul>
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<ul>
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<li><a href="../index.html">Language modes</a>
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<li><a class=active href="#">Mathematica</a>
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</ul>
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</div>
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<article>
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<h2>Mathematica mode</h2>
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<textarea id="mathematicaCode">
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(* example Mathematica code *)
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(* Dualisiert wird anhand einer Polarität an einer
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Quadrik $x^t Q x = 0$ mit regulärer Matrix $Q$ (also
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mit $det(Q) \neq 0$), z.B. die Identitätsmatrix.
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$p$ ist eine Liste von Polynomen - ein Ideal. *)
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dualize::"singular" = "Q must be regular: found Det[Q]==0.";
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dualize[ Q_, p_ ] := Block[
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{ m, n, xv, lv, uv, vars, polys, dual },
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If[Det[Q] == 0,
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Message[dualize::"singular"],
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m = Length[p];
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n = Length[Q] - 1;
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xv = Table[Subscript[x, i], {i, 0, n}];
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lv = Table[Subscript[l, i], {i, 1, m}];
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uv = Table[Subscript[u, i], {i, 0, n}];
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(* Konstruiere Ideal polys. *)
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If[m == 0,
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polys = Q.uv,
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polys = Join[p, Q.uv - Transpose[Outer[D, p, xv]].lv]
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];
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(* Eliminiere die ersten n + 1 + m Variablen xv und lv
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aus dem Ideal polys. *)
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vars = Join[xv, lv];
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dual = GroebnerBasis[polys, uv, vars];
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(* Ersetze u mit x im Ergebnis. *)
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ReplaceAll[dual, Rule[u, x]]
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]
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]
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</textarea>
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<script>
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var mathematicaEditor = CodeMirror.fromTextArea(document.getElementById('mathematicaCode'), {
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mode: 'text/x-mathematica',
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lineNumbers: true,
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matchBrackets: true
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});
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</script>
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<p><strong>MIME types defined:</strong> <code>text/x-mathematica</code> (Mathematica).</p>
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</article>
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