<?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>poly(String) -- make a polynomial using classic Macaulay syntax</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_ideal_lp__String_rp.html">next</a> | <a href="index.html">previous</a> | <a href="_ideal_lp__String_rp.html">forward</a> | backward | <a href="index.html">up</a> | <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> <div><a href="index.html" title="a parser for classic Macaulay syntax">Classic</a> > <a href="_poly_lp__String_rp.html" title="make a polynomial using classic Macaulay syntax">poly(String)</a></div> <hr/> <div><h1>poly(String) -- make a polynomial using classic Macaulay syntax</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>poly s</tt></div> </dd></dl> </div> </li> <li><span>Function: <a href="_poly_lp__String_rp.html" title="make a polynomial using classic Macaulay syntax">poly</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>s</tt>, <span>a <a href="../../Macaulay2Doc/html/___String.html">string</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___Ring__Element.html">ring element</a></span>, created from <tt>s</tt> using classic Macaulay syntax, as described in <a href="index.html" title="a parser for classic Macaulay syntax">Classic</a></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : R = ZZ/32003[a..d,x_1..x_4,y_(1,1)..y_(2,2)];</pre> </td></tr> <tr><td><pre>i2 : poly "a2b-3ab-1" 2 o2 = a b - 3a*b - 1 o2 : R</pre> </td></tr> <tr><td><pre>i3 : poly "a2y[1,1]3-3ab-1" 2 3 o3 = a y - 3a*b - 1 1,1 o3 : R</pre> </td></tr> <tr><td><pre>i4 : poly "(a+b)(a+2c)" 2 o4 = a + a*b + 2a*c + 2b*c o4 : R</pre> </td></tr> <tr><td><pre>i5 : poly "(a+b+c)3-1" 3 2 2 3 2 2 2 2 3 o5 = a + 3a b + 3a*b + b + 3a c + 6a*b*c + 3b c + 3a*c + 3b*c + c - 1 o5 : R</pre> </td></tr> <tr><td><pre>i6 : poly "3/4a2b-3ab-1" 2 o6 = - 8000a b - 3a*b - 1 o6 : R</pre> </td></tr> <tr><td><pre>i7 : poly "a5+5a4b+10a3b2+10a2b3+5ab4+b5-10a4c-40a3bc-60a2b2c-40ab3c-10b4c" 5 4 3 2 2 3 4 5 4 3 2 2 o7 = a + 5a b + 10a b + 10a b + 5a*b + b - 10a c - 40a b*c - 60a b c - ------------------------------------------------------------------------ 3 4 40a*b c - 10b c o7 : R</pre> </td></tr> <tr><td><pre>i8 : poly "(a+(c+y[1,1])2)2-1" 4 3 2 2 3 4 2 2 o8 = c + 4c y + 6c y + 4c*y + y + 2a*c + 4a*c*y + 2a*y + 1,1 1,1 1,1 1,1 1,1 1,1 ------------------------------------------------------------------------ 2 a - 1 o8 : R</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_ideal_lp__String_rp.html" title="make an ideal using classic Macaulay syntax">ideal(String)</a> -- make an ideal using classic Macaulay syntax</span></li> <li><span><a href="_matrix_lp__String_rp.html" title="make a matrix using classic Macaulay syntax">matrix(String)</a> -- make a matrix using classic Macaulay syntax</span></li> </ul> </div> </div> </body> </html>