<?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>Ring _ List -- make a monomial from a list of exponents</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Ring_sp_us_sp__String.html">next</a> | <a href="___Ring_sp^_sp__Z__Z.html">previous</a> | <a href="___Ring_sp_us_sp__String.html">forward</a> | <a href="___Ring_sp^_sp__Z__Z.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>Ring _ List -- make a monomial from a list of exponents</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>R_w</tt></div> </dd></dl> </div> </li> <li><span>Operator: <a href="__us.html" title="a binary operator, used for subscripting and access to elements">_</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>R</tt>, <span>a <a href="___Ring.html">ring</a></span></span></li> <li><span><tt>w</tt>, <span>a <a href="___List.html">list</a></span>, of integers</span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="___Ring__Element.html">ring element</a></span>, the monomial of the ring <tt>R</tt> obtained by using the integers in the list <tt>w</tt> as exponents of the variables.</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : R = ZZ[a..d] o1 = R o1 : PolynomialRing</pre> </td></tr> <tr><td><pre>i2 : R_{3,1,5} 3 5 o2 = a b*c o2 : R</pre> </td></tr> <tr><td><pre>i3 : R_{1,1,1,1} o3 = a*b*c*d o3 : R</pre> </td></tr> <tr><td><pre>i4 : S = R[x,y,z] o4 = S o4 : PolynomialRing</pre> </td></tr> <tr><td><pre>i5 : S_{1,1,1} o5 = x*y*z o5 : S</pre> </td></tr> <tr><td><pre>i6 : S_{1,1,1,4} 4 o6 = a x*y*z o6 : S</pre> </td></tr> </table> </div> </div> </div> </body> </html>