<?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>minPosition -- position of smallest element</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Minus.html">next</a> | <a href="_minors_lp__Z__Z_cm__Matrix_rp.html">previous</a> | <a href="___Minus.html">forward</a> | <a href="_minors_lp__Z__Z_cm__Matrix_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>minPosition -- position of smallest element</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>minPosition x</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>x</tt>, <span>a <a href="___Basic__List.html">basic list</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span>the position of the smallest element in the list <tt>x</tt></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div>If the smallest element occurs more than once, then the first occurrence is used. If <tt>x</tt> has length 0 an error results.<table class="examples"><tr><td><pre>i1 : minPosition {1,6,4,2} o1 = 0</pre> </td></tr> </table> Notice that the position of the minimal element is 0, as indexing in Macaulay2 always starts at 0.<p/> For elements in a polynomial ring, the order used is the <a href="_monomial_sporderings.html">monomial order</a> associated with the ring.<table class="examples"><tr><td><pre>i2 : R = QQ[r,s,x,y,z];</pre> </td></tr> <tr><td><pre>i3 : z^2 + x*y + s*z 2 o3 = x*y + s*z + z o3 : R</pre> </td></tr> <tr><td><pre>i4 : minPosition {z^2, s*z, x*y} o4 = 0</pre> </td></tr> <tr><td><pre>i5 : minPosition(z^2, s*z, x*y) o5 = 0</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_max__Position.html" title="position of largest element">maxPosition</a> -- position of largest element</span></li> <li><span><a href="_max.html" title="maximum of elements of a list">max</a> -- maximum of elements of a list</span></li> <li><span><a href="_min.html" title="minimum of elements of a list">min</a> -- minimum of elements of a list</span></li> <li><span><a href="_sort.html" title="sort a list or columns of a matrix">sort</a> -- sort a list or columns of a matrix</span></li> <li><span><a href="_position.html" title="find first element of a list satisfying a condition">position</a> -- find first element of a list satisfying a condition</span></li> </ul> </div> <div class="waystouse"><h2>Ways to use <tt>minPosition</tt> :</h2> <ul><li>minPosition(BasicList)</li> </ul> </div> </div> </body> </html>