<?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>mingle -- mingle elements of several lists</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_pack.html">next</a> | <a href="___List_sp_vb_sp__List.html">previous</a> | <a href="_pack.html">forward</a> | <a href="___List_sp_vb_sp__List.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="_mingle.html" title="mingle elements of several lists">mingle</a></div> <hr/> <div><h1>mingle -- mingle elements of several lists</h1> <div class="single"><h2>Description</h2> <div><tt>mingle {v,w,...}</tt> -- produces a new list from the lists or sequences v,w,... by taking the first element from each, then the second, and so on.<br/><tt>mingle (v,w,...)</tt> -- does the same.<p/> After one of the lists is exhausted, it is silently ignored.<table class="examples"><tr><td><pre>i1 : mingle({1,2,3,4},{a},{F,F,F,F,F,F,F,F,F,F}) o1 = {1, a, F, 2, F, 3, F, 4, F, F, F, F, F, F, F} o1 : List</pre> </td></tr> <tr><td><pre>i2 : concatenate mingle( {"a","b","c"} , {",",","} ) o2 = a,b,c</pre> </td></tr> </table> It is easy to transpose a nested list (thinking of it as a matrix) using <a href="_mingle.html" title="mingle elements of several lists">mingle</a> and <a href="_pack.html" title="pack elements of a list into shorter ones">pack</a>.<table class="examples"><tr><td><pre>i3 : pack(2, mingle {{1,2,3,4},{5,6,7,8}}) o3 = {{1, 5}, {2, 6}, {3, 7}, {4, 8}} o3 : List</pre> </td></tr> </table> </div> </div> <div class="waystouse"><h2>Ways to use <tt>mingle</tt> :</h2> <ul><li>mingle(BasicList)</li> </ul> </div> </div> </body> </html>