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author Coffee CMS <info@coffee-cms.ru>
date Fri, 11 Oct 2024 22:40:23 +0000
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1 <!doctype html>
2
3 <title>CodeMirror: Mathematica mode</title>
4 <meta charset="utf-8"/>
5 <link rel=stylesheet href="../../doc/docs.css">
6
7 <link rel=stylesheet href=../../lib/codemirror.css>
8 <script src=../../lib/codemirror.js></script>
9 <script src=../../addon/edit/matchbrackets.js></script>
10 <script src=mathematica.js></script>
11 <style type=text/css>
12 .CodeMirror {border-top: 1px solid black; border-bottom: 1px solid black;}
13 </style>
14 <div id=nav>
15 <a href="https://codemirror.net/5"><h1>CodeMirror</h1><img id=logo src="../../doc/logo.png" alt=""></a>
16
17 <ul>
18 <li><a href="../../index.html">Home</a>
19 <li><a href="../../doc/manual.html">Manual</a>
20 <li><a href="https://github.com/codemirror/codemirror5">Code</a>
21 </ul>
22 <ul>
23 <li><a href="../index.html">Language modes</a>
24 <li><a class=active href="#">Mathematica</a>
25 </ul>
26 </div>
27
28 <article>
29 <h2>Mathematica mode</h2>
30
31
32 <textarea id="mathematicaCode">
33 (* example Mathematica code *)
34 (* Dualisiert wird anhand einer Polarität an einer
35 Quadrik $x^t Q x = 0$ mit regulärer Matrix $Q$ (also
36 mit $det(Q) \neq 0$), z.B. die Identitätsmatrix.
37 $p$ ist eine Liste von Polynomen - ein Ideal. *)
38 dualize::"singular" = "Q must be regular: found Det[Q]==0.";
39 dualize[ Q_, p_ ] := Block[
40 { m, n, xv, lv, uv, vars, polys, dual },
41 If[Det[Q] == 0,
42 Message[dualize::"singular"],
43 m = Length[p];
44 n = Length[Q] - 1;
45 xv = Table[Subscript[x, i], {i, 0, n}];
46 lv = Table[Subscript[l, i], {i, 1, m}];
47 uv = Table[Subscript[u, i], {i, 0, n}];
48 (* Konstruiere Ideal polys. *)
49 If[m == 0,
50 polys = Q.uv,
51 polys = Join[p, Q.uv - Transpose[Outer[D, p, xv]].lv]
52 ];
53 (* Eliminiere die ersten n + 1 + m Variablen xv und lv
54 aus dem Ideal polys. *)
55 vars = Join[xv, lv];
56 dual = GroebnerBasis[polys, uv, vars];
57 (* Ersetze u mit x im Ergebnis. *)
58 ReplaceAll[dual, Rule[u, x]]
59 ]
60 ]
61 </textarea>
62
63 <script>
64 var mathematicaEditor = CodeMirror.fromTextArea(document.getElementById('mathematicaCode'), {
65 mode: 'text/x-mathematica',
66 lineNumbers: true,
67 matchBrackets: true
68 });
69 </script>
70
71 <p><strong>MIME types defined:</strong> <code>text/x-mathematica</code> (Mathematica).</p>
72 </article>