0
|
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>
|