<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>parts(RingElement) -- display a polynomial degree by degree</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_pdim.html">next</a> | <a href="_partitions_lp__Z__Z_cm__Z__Z_rp.html">previous</a> | <a href="_pdim.html">forward</a> | <a href="_partitions_lp__Z__Z_cm__Z__Z_rp.html">backward</a> | up | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>parts(RingElement) -- display a polynomial degree by degree</h1> <div class="single"><h2>Synopsis</h2> <ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>parts f</tt></div> </dd></dl> </div> </li> <li><span>Function: <a href="_parts_lp__Ring__Element_rp.html" title="display a polynomial degree by degree">parts</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>f</tt>, <span>a <a href="___Ring__Element.html">ring element</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>an <a href="___Expression.html">expression</a></span>, an expression with the terms of <tt>f</tt> of the each degree parenthesized, in increasing order</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : R = QQ[x,y];</pre> </td></tr> <tr><td><pre>i2 : f = (x+y+1)^2 2 2 o2 = x + 2x*y + y + 2x + 2y + 1 o2 : R</pre> </td></tr> <tr><td><pre>i3 : parts f 2 2 o3 = (1) + (2x + 2y) + (x + 2x*y + y ) o3 : Expression of class Sum</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="___Parenthesize.html" title="">Parenthesize</a></span></li> </ul> </div> </div> </body> </html>