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comparison .cms/lib/codemirror/mode/mathematica/index.html @ 0:78edf6b517a0 draft
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author | Coffee CMS <info@coffee-cms.ru> |
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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> |