<?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>VisibleList _ List -- get some entries of a list</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_first.html">next</a> | <a href="___Visible__List_sp_us_sp__Z__Z.html">previous</a> | <a href="_first.html">forward</a> | <a href="___Visible__List_sp_us_sp__Z__Z.html">backward</a> | <a href="_lists_spand_spsequences.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="">Macaulay2Doc</a> > <a href="___The_sp__Macaulay2_splanguage.html" title="">The Macaulay2 language</a> > <a href="_lists_spand_spsequences.html" title="">lists and sequences</a> > <a href="___Visible__List_sp_us_sp__List.html" title="get some entries of a list">VisibleList _ List</a></div> <hr/> <div><h1>VisibleList _ List -- get some entries of a list</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>w_{i,j,...}</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>w</tt>, <span>a <a href="___Visible__List.html">visible list</a></span></span></li> <li><span><tt>{i,j,...}</tt>, a list of integers to serve as indices</span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="___Visible__List.html">visible list</a></span>, the list of entries <tt>{w_i, w_j, ...}</tt></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><p>The entries of <tt>w</tt> are numbered starting with 0. If <tt>i</tt> is negative, then the <tt>i</tt>-th entry counting from the end is provided. If <tt>i</tt> is out of range, an error is signaled.</p> <table class="examples"><tr><td><pre>i1 : w = {a,b,c,d,e,f,g,h} o1 = {a, b, c, d, e, f, g, h} o1 : List</pre> </td></tr> <tr><td><pre>i2 : w_{1,3,4} o2 = {b, d, e} o2 : List</pre> </td></tr> <tr><td><pre>i3 : w_{-1,-2,-3} o3 = {h, g, f} o3 : List</pre> </td></tr> </table> <p/> We can use this operation to compute composition of permutations represented as lists.<table class="examples"><tr><td><pre>i4 : {4,2,3,1,0} _ {2,1,3,4,0} o4 = {3, 2, 1, 0, 4} o4 : List</pre> </td></tr> </table> <p/> Remark: any subscripts that are sequences will have their elements spliced into the rest of the list.<table class="examples"><tr><td><pre>i5 : {a,b,c,d,e}_{2..4} o5 = {c, d, e} o5 : List</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_ranges_spand_sprepetitions.html" title="">ranges and repetitions</a></span></li> <li><span><a href="___Visible__List_sp_us_sp__Z__Z.html" title="get element from list">VisibleList _ ZZ</a> -- get element from list</span></li> </ul> </div> </div> </body> </html>