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24.10
author Coffee CMS <info@coffee-cms.ru>
date Fri, 11 Oct 2024 22:40:23 +0000
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/.cms/lib/codemirror/mode/mathematica/index.html	Fri Oct 11 22:40:23 2024 +0000
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+<!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="https://codemirror.net/5"><h1>CodeMirror</h1><img id=logo src="../../doc/logo.png" alt=""></a>
+
+  <ul>
+    <li><a href="../../index.html">Home</a>
+    <li><a href="../../doc/manual.html">Manual</a>
+    <li><a href="https://github.com/codemirror/codemirror5">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>