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<!DOCTYPE html> <html lang="en"> <head> <title>dist -- produces a DiffAlgDistribution from a list</title> <meta content="text/html; charset=utf-8" http-equiv="Content-Type"> <link type="text/css" rel="stylesheet" href="../../../../Macaulay2/Style/doc.css"> <link rel="stylesheet" href="../../../../Macaulay2/Style/katex/katex.min.css"> <script defer="defer" src="../../../../Macaulay2/Style/katex/katex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/auto-render.min.js"></script> <script> var macros = { "\\break": "\\\\", "\\ZZ": "\\mathbb{Z}", "\\NN": "\\mathbb{N}", "\\QQ": "\\mathbb{Q}", "\\RR": "\\mathbb{R}", "\\CC": "\\mathbb{C}", "\\PP": "\\mathbb{P}" }, delimiters = [ { left: "$$", right: "$$", display: true}, { left: "\\[", right: "\\]", display: true}, { left: "$", right: "$", display: false}, { left: "\\(", right: "\\)", display: false} ], ignoredTags = [ "kbd", "var", "samp", "script", "noscript", "style", "textarea", "pre", "code", "option" ]; document.addEventListener("DOMContentLoaded", function() { renderMathInElement(document.body, { delimiters: delimiters, macros: macros, ignoredTags: ignoredTags, trust: true }); }); </script> <style>.katex { font-size: 1em; }</style> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/copy-tex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/render-a11y-string.min.js"></script> <script src="../../../../Macaulay2/Style/prism.js"></script> <script>var current_version = '1.25.06';</script> <script src="../../../../Macaulay2/Style/version-select.js"></script> <link type="image/x-icon" rel="icon" href="../../../../Macaulay2/Style/icon.gif"> </head> <body> <div id="buttons"> <div> <a href="https://macaulay2.com/">Macaulay2</a> <span id="version-select-container"></span> » <a title="Macaulay2 documentation" href="../../Macaulay2Doc/html/index.html">Documentation </a> <br><a href="../../Macaulay2Doc/html/_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="differential algebra" href="index.html">DiffAlg</a> :: <a title="produces a DiffAlgDistribution from a list" href="_dist.html">dist</a></span> </div> <div class="right"> <form method="get" action="https://www.google.com/search"> <input placeholder="Search" type="text" name="q" value=""> <input type="hidden" name="q" value="site:macaulay2.com/doc"> </form> <a href="_gen__Im.html">next</a> | <a href="___Diff__Alg__Form_sp%5E_sp__Diff__Alg__Form.html">previous</a> | <a href="_gen__Im.html">forward</a> | <a href="___Diff__Alg__Form_sp%5E_sp__Diff__Alg__Form.html">backward</a> | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>dist -- produces a DiffAlgDistribution from a list</h1> <ul> <li> <dl class="element"> <dt>Usage: </dt> <dd><code class="language-macaulay2">dist(L)</code></dd> </dl> </li> <li>Inputs: <ul> <li><span><span class="tt">L</span>, <span>a <a title="the class of all lists -- {...}" href="../../Macaulay2Doc/html/___List.html">list</a></span>, list of vector fields, see <a title="the class of all vector fields" href="___Diff__Alg__Field.html">DiffAlgField</a></span></li> </ul> </li> <li>Outputs: <ul> <li><span><span>an instance of the type <a title="the class of distributions of vector fields" href="___Diff__Alg__Distribution.html">DiffAlgDistribution</a></span>, generated by the vector fields in the given list.</span></li> </ul> </li> </ul> <div> <h2>Description</h2> <p>This command checks that all the elements in the list are vector fields.</p> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i1 : X = newField("3*x_0*ax_0+x_1*ax_1") o1 = 3x ax + x ax 0 0 1 1 o1 : DiffAlgField</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i2 : Y = radial 3 o2 = x ax + x ax + x ax + x ax 0 0 1 1 2 2 3 3 o2 : DiffAlgField</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i3 : dist {X,Y} o3 = {3x ax + x ax , x ax + x ax + x ax + x ax } 0 0 1 1 0 0 1 1 2 2 3 3 o3 : DiffAlgDistribution</code></pre> </td> </tr> </table> </div> <div> <h2>See also</h2> <ul> <li><span><a title="constructor of a vector field" href="_new__Field.html">newField</a> -- constructor of a vector field</span></li> <li><span><a title="defines the radial vector field" href="_radial.html">radial</a> -- defines the radial vector field</span></li> <li><span><a title="rank of the given distribution" href="_rank_lp__Diff__Alg__Distribution_rp.html">rank(DiffAlgDistribution)</a> -- rank of the given distribution</span></li> <li><span><a title="tests if a distribution is involutive" href="_is__Involutive.html">isInvolutive</a> -- tests if a distribution is involutive</span></li> </ul> </div> <div> <div class="waystouse"> <h2>Ways to use <span class="tt">dist</span>:</h2> <ul> <li><kbd>dist(List)</kbd></li> </ul> </div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="produces a DiffAlgDistribution from a list" href="_dist.html">dist</a> is <span>a <a title="a type of method function" href="../../Macaulay2Doc/html/___Method__Function.html">method function</a></span>.</p> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">DiffAlg.m2:756:0</span>.</p> </div> </div> </div> </body> </html>