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_sort_lp..._cm__Monomial__Order_eq_gt..._rp.html
<!DOCTYPE html> <html lang="en"> <head> <title>sort(...,MonomialOrder=>...) -- specify Ascending or Descending monomial order</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="index.html">Documentation </a> <br><a href="_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="Macaulay2 documentation" href="index.html">Macaulay2Doc</a> » <a href="___The_sp__Macaulay2_splanguage.html">The Macaulay2 language</a> » <a title="a detailed overview of lists and sequences in Macaulay2" href="_lists_spand_spsequences.html">lists and sequences</a> » <a title="sort a list or columns of a matrix" href="_sort.html">sort</a> » <a title="sort the columns of a matrix" href="_sort_lp__Matrix_rp.html">sort(Matrix)</a> » <a title="specify Ascending or Descending monomial order" href="_sort_lp..._cm__Monomial__Order_eq_gt..._rp.html">sort(...,MonomialOrder=>...)</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="_sort_lp..._cm__Degree__Order_eq_gt..._rp.html">next</a> | previous | <a href="_sort_lp..._cm__Degree__Order_eq_gt..._rp.html">forward</a> | <a href="_sort_lp__Matrix_rp.html">backward</a> | <a href="_sort_lp__Matrix_rp.html">up</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>sort(...,MonomialOrder=>...) -- specify Ascending or Descending monomial order</h1> <ul> <li> <dl class="element"> <dt>Usage: </dt> <dd><code class="language-macaulay2">sort(...,MonomialOrder=>x)</code></dd> </dl> </li> <li>Inputs: <ul> <li><span><span class="tt">x</span>, <span>a <a title="the class of all symbols" href="___Symbol.html">symbol</a></span>, either <a title="specify ascending order" href="___Ascending.html">Ascending</a> or <a title="specify descending order" href="___Descending.html">Descending</a></span></li> </ul> </li> <li> <div> Consequences: <ul> <li>After the degree order has been considered, sort the columns of the matrix in Ascending or Descending monomial order</li> </ul> </div> </li> </ul> <div> <!--empty documentation body--> </div> <div> <h2>Caveat</h2> This option only works for sorting columns of a matrix, not the elements of a list </div> <div> <div> <h2>Functions with optional argument named <span class="tt">MonomialOrder</span>:</h2> <ul> <li><span><kbd>graphIdeal(...,MonomialOrder=>...)</kbd> -- see <span><a title="the ideal of the graph of the regular map corresponding to a ring map" href="_graph__Ideal_lp__Ring__Map_rp.html">graphIdeal(RingMap)</a> -- the ideal of the graph of the regular map corresponding to a ring map</span></span></li> <li><span><kbd>graphRing(...,MonomialOrder=>...)</kbd> -- see <span><a title="the coordinate ring of the graph of the regular map corresponding to a ring map" href="_graph__Ring_lp__Ring__Map_rp.html">graphRing(RingMap)</a> -- the coordinate ring of the graph of the regular map corresponding to a ring map</span></span></li> <li><span><a title="specify the monomial ordering" href="_monoid_lp..._cm__Monomial__Order_eq_gt..._rp.html">monoid(...,MonomialOrder=>...)</a> -- specify the monomial ordering</span></li> <li><span><kbd>newRing(...,MonomialOrder=>...)</kbd> -- see <span><a title="make a copy of a ring, with some features changed" href="_new__Ring.html">newRing</a> -- make a copy of a ring, with some features changed</span></span></li> <li><span><kbd>pushForward(...,MonomialOrder=>...)</kbd> -- see <span><a title="compute the pushforward of a module along a ring map" href="_push__Forward_lp__Ring__Map_cm__Module_rp.html">pushForward(RingMap,Module)</a> -- compute the pushforward of a module along a ring map</span></span></li> <li><span><a title="specify Ascending or Descending monomial order" href="_rsort_lp..._cm__Monomial__Order_eq_gt..._rp.html">rsort(...,MonomialOrder=>...)</a> -- specify Ascending or Descending monomial order</span></li> <li><span><a title="specify Ascending or Descending monomial order" href="_sort_lp..._cm__Monomial__Order_eq_gt..._rp.html">sort(...,MonomialOrder=>...)</a> -- specify Ascending or Descending monomial order</span></li> <li><span><a title="specify Ascending or Descending monomial order" href="_sort__Columns_lp..._cm__Monomial__Order_eq_gt..._rp.html">sortColumns(...,MonomialOrder=>...)</a> -- specify Ascending or Descending monomial order</span></li> <li><span><kbd>symmetricAlgebra(...,MonomialOrder=>...)</kbd> -- see <span><a title="the symmetric algebra of a module" href="_symmetric__Algebra.html">symmetricAlgebra</a> -- the symmetric algebra of a module</span></span></li> <li><span><kbd>tensor(Monoid,Monoid,MonomialOrder=>...)</kbd> -- see <span><a title="tensor product of monoids" href="_tensor_lp__Monoid_cm__Monoid_rp.html">tensor(Monoid,Monoid)</a> -- tensor product of monoids</span></span></li> <li><span><kbd>tensor(Ring,Ring,MonomialOrder=>...)</kbd> -- see <span><a title="tensor product of monoids" href="_tensor_lp__Monoid_cm__Monoid_rp.html">tensor(Monoid,Monoid)</a> -- tensor product of monoids</span></span></li> </ul> </div> <div> <h2>Further information</h2> <ul> <li><span>Default value: <a title="specify ascending order" href="___Ascending.html">Ascending</a></span></li> <li><span>Function: <span><a title="sort a list or columns of a matrix" href="_sort.html">sort</a> -- sort a list or columns of a matrix</span></span></li> <li><span>Option key: <span><a title="monomial ordering" href="___Monomial__Order.html">MonomialOrder</a> -- monomial ordering</span></span></li> </ul> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">Macaulay2Doc/functions/sort-doc.m2:116:0</span>.</p> </div> </div> </div> </body> </html>
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