1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130
|
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
<!-- Created by GNU Texinfo 5.1, http://www.gnu.org/software/texinfo/ -->
<head>
<title>Maxima Manual: Introduction to Symmetries</title>
<meta name="description" content="Maxima Manual: Introduction to Symmetries">
<meta name="keywords" content="Maxima Manual: Introduction to Symmetries">
<meta name="resource-type" content="document">
<meta name="distribution" content="global">
<meta name="Generator" content="makeinfo">
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<link href="maxima_toc.html#Top" rel="start" title="Top">
<link href="maxima_264.html#g_t_0423_043a_0430_0437_0430_0442_0435_043b_044c-_0444_0443_043d_043a_0446_0438_0439-_0438-_043f_0435_0440_0435_043c_0435_043d_043d_044b_0445" rel="index" title="Указатель функций и переменных">
<link href="maxima_toc.html#SEC_Contents" rel="contents" title="Table of Contents">
<link href="maxima_120.html#Symmetries" rel="up" title="Symmetries">
<link href="maxima_122.html#Functions-and-Variables-for-Symmetries" rel="next" title="Functions and Variables for Symmetries">
<link href="maxima_120.html#Symmetries" rel="previous" title="Symmetries">
<style type="text/css">
<!--
a.summary-letter {text-decoration: none}
blockquote.smallquotation {font-size: smaller}
div.display {margin-left: 3.2em}
div.example {margin-left: 3.2em}
div.indentedblock {margin-left: 3.2em}
div.lisp {margin-left: 3.2em}
div.smalldisplay {margin-left: 3.2em}
div.smallexample {margin-left: 3.2em}
div.smallindentedblock {margin-left: 3.2em; font-size: smaller}
div.smalllisp {margin-left: 3.2em}
kbd {font-style:oblique}
pre.display {font-family: inherit}
pre.format {font-family: inherit}
pre.menu-comment {font-family: serif}
pre.menu-preformatted {font-family: serif}
pre.smalldisplay {font-family: inherit; font-size: smaller}
pre.smallexample {font-size: smaller}
pre.smallformat {font-family: inherit; font-size: smaller}
pre.smalllisp {font-size: smaller}
span.nocodebreak {white-space:nowrap}
span.nolinebreak {white-space:nowrap}
span.roman {font-family:serif; font-weight:normal}
span.sansserif {font-family:sans-serif; font-weight:normal}
ul.no-bullet {list-style: none}
body {color: black; background: white; margin-left: 8%; margin-right: 13%;
font-family: "FreeSans", sans-serif}
h1 {font-size: 150%; font-family: "FreeSans", sans-serif}
h2 {font-size: 125%; font-family: "FreeSans", sans-serif}
h3 {font-size: 100%; font-family: "FreeSans", sans-serif}
a[href] {color: rgb(0,0,255); text-decoration: none;}
a[href]:hover {background: rgb(220,220,220);}
div.textbox {border: solid; border-width: thin; padding-top: 1em;
padding-bottom: 1em; padding-left: 2em; padding-right: 2em}
div.titlebox {border: none; padding-top: 1em; padding-bottom: 1em;
padding-left: 2em; padding-right: 2em; background: rgb(200,255,255);
font-family: sans-serif}
div.synopsisbox {
border: none; padding-top: 1em; padding-bottom: 1em; padding-left: 2em;
padding-right: 2em; background: rgb(255,220,255);}
pre.example {border: 1px solid rgb(180,180,180); padding-top: 1em;
padding-bottom: 1em; padding-left: 1em; padding-right: 1em;
background-color: rgb(238,238,255)}
div.spacerbox {border: none; padding-top: 2em; padding-bottom: 2em}
div.image {margin: 0; padding: 1em; text-align: center}
div.categorybox {border: 1px solid gray; padding-top: 1em; padding-bottom: 1em;
padding-left: 1em; padding-right: 1em; background: rgb(247,242,220)}
img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-right: auto}
-->
</style>
<link rel="icon" href="figures/favicon.ico">
<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
<script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
</head>
<body lang="ru" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">
<a name="Introduction-to-Symmetries"></a>
<div class="header">
<p>
Next: <a href="maxima_122.html#Functions-and-Variables-for-Symmetries" accesskey="n" rel="next">Functions and Variables for Symmetries</a>, Previous: <a href="maxima_120.html#Symmetries" accesskey="p" rel="previous">Symmetries</a>, Up: <a href="maxima_120.html#Symmetries" accesskey="u" rel="up">Symmetries</a> [<a href="maxima_toc.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="maxima_264.html#g_t_0423_043a_0430_0437_0430_0442_0435_043b_044c-_0444_0443_043d_043a_0446_0438_0439-_0438-_043f_0435_0440_0435_043c_0435_043d_043d_044b_0445" title="Index" rel="index">Index</a>]</p>
</div>
<a name="Introduction-to-Symmetries-1"></a>
<h3 class="section">30.1 Introduction to Symmetries</h3>
<p><code>sym</code> is a package for working with symmetric groups of polynomials.
</p>
<p>It was written for Macsyma-Symbolics by Annick Valibouze (<a href="http://www-calfor.lip6.fr/~avb/">http://www-calfor.lip6.fr/~avb/</a>).
The algorithms are described in the following papers:
</p>
<ol>
<li> Fonctions symétriques et changements de bases. Annick Valibouze.
EUROCAL’87 (Leipzig, 1987), 323–332, Lecture Notes in Comput. Sci 378.
Springer, Berlin, 1989.<br>
<a href="http://www.stix.polytechnique.fr/publications/1984-1994.html">http://www.stix.polytechnique.fr/publications/1984-1994.html</a>
</li><li> Résolvantes et fonctions symétriques. Annick Valibouze.
Proceedings of the ACM-SIGSAM 1989 International Symposium on Symbolic
and Algebraic Computation, ISSAC’89 (Portland, Oregon).
ACM Press, 390-399, 1989.<br>
<a href="http://www-calfor.lip6.fr/~avb/DonneesTelechargeables/MesArticles/issac89ACMValibouze.pdf">http://www-calfor.lip6.fr/~avb/DonneesTelechargeables/MesArticles/issac89ACMValibouze.pdf</a>
</li><li> Symbolic computation with symmetric polynomials, an extension to Macsyma.
Annick Valibouze. Computers and Mathematics (MIT, USA, June 13-17, 1989),
Springer-Verlag, New York Berlin, 308-320, 1989.<br>
<a href="http://www.stix.polytechnique.fr/publications/1984-1994.html">http://www.stix.polytechnique.fr/publications/1984-1994.html</a>
</li><li> Théorie de Galois Constructive. Annick Valibouze. Mémoire d’habilitation
à diriger les recherches (HDR), Université P. et M. Curie (Paris VI), 1994.
</li></ol>
<a name="Item_003a-Symmetries_002fnode_002fFunctions-and-Variables-for-Symmetries"></a><hr>
<div class="header">
<p>
Next: <a href="maxima_122.html#Functions-and-Variables-for-Symmetries" accesskey="n" rel="next">Functions and Variables for Symmetries</a>, Previous: <a href="maxima_120.html#Symmetries" accesskey="p" rel="previous">Symmetries</a>, Up: <a href="maxima_120.html#Symmetries" accesskey="u" rel="up">Symmetries</a> [<a href="maxima_toc.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="maxima_264.html#g_t_0423_043a_0430_0437_0430_0442_0435_043b_044c-_0444_0443_043d_043a_0446_0438_0439-_0438-_043f_0435_0440_0435_043c_0435_043d_043d_044b_0445" title="Index" rel="index">Index</a>]</p>
</div>
</body>
</html>
|