<?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><< -- a binary operator (file output, ...)</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="__gt_gt.html">next</a> | <a href="_.._lt.html">previous</a> | <a href="__gt_gt.html">forward</a> | <a href="_.._lt.html">backward</a> | <a href="_operators.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="_operators.html" title="">operators</a> > <a href="__lt_lt.html" title="a binary operator (file output, ...)"><<</a></div> <hr/> <div><h1><< -- a binary operator (file output, ...)</h1> <div><!--empty documentation body--></div> <div class="waystouse"><h2>Ways to use <tt><<</tt> :</h2> <ul><li><span><< Thing, see <span><a href="___File_sp_lt_lt_sp__Thing.html" title="print to a file">File << Thing</a> -- print to a file</span></span></li> <li><span>File << Manipulator, see <span><a href="___File_sp_lt_lt_sp__Thing.html" title="print to a file">File << Thing</a> -- print to a file</span></span></li> <li><span>File << Net, see <span><a href="___File_sp_lt_lt_sp__Thing.html" title="print to a file">File << Thing</a> -- print to a file</span></span></li> <li><span>File << String, see <span><a href="___File_sp_lt_lt_sp__Thing.html" title="print to a file">File << Thing</a> -- print to a file</span></span></li> <li><span>File << Symbol, see <span><a href="___File_sp_lt_lt_sp__Thing.html" title="print to a file">File << Thing</a> -- print to a file</span></span></li> <li><span><a href="___File_sp_lt_lt_sp__Thing.html" title="print to a file">File << Thing</a> -- print to a file</span></li> <li><span>List << Thing, see <span><a href="___File_sp_lt_lt_sp__Thing.html" title="print to a file">File << Thing</a> -- print to a file</span></span></li> <li><span>Nothing << Manipulator, see <span><a href="___File_sp_lt_lt_sp__Thing.html" title="print to a file">File << Thing</a> -- print to a file</span></span></li> <li><span>Nothing << Thing, see <span><a href="___File_sp_lt_lt_sp__Thing.html" title="print to a file">File << Thing</a> -- print to a file</span></span></li> <li><span>String << Thing, see <span><a href="___File_sp_lt_lt_sp__Thing.html" title="print to a file">File << Thing</a> -- print to a file</span></span></li> <li><span>CC << ZZ, see <span><a href="_left_spshift.html" title="">left shift</a></span></span></li> <li><span>RR << ZZ, see <span><a href="_left_spshift.html" title="">left shift</a></span></span></li> <li><span>ZZ << ZZ, see <span><a href="_left_spshift.html" title="">left shift</a></span></span></li> <li><span>NetFile << Manipulator, see <span><a href="___Net__File.html" title="the class of all net files">NetFile</a> -- the class of all net files</span></span></li> <li><span>NetFile << Net, see <span><a href="___Net__File.html" title="the class of all net files">NetFile</a> -- the class of all net files</span></span></li> <li><span>NetFile << String, see <span><a href="___Net__File.html" title="the class of all net files">NetFile</a> -- the class of all net files</span></span></li> </ul> </div> <div class="waystouse"><h2>For the programmer</h2> <p>The object <a href="__lt_lt.html" title="a binary operator (file output, ...)"><<</a> is <span>a <a href="___Keyword.html">keyword</a></span>.</p> <div><div><p>This operator may be used as a binary operator in an expression like <tt>x<<y</tt>. The user may install <a href="_binary_spmethods.html" title="">binary methods</a> for handling such expressions with code such as</p> <pre> X << Y := (x,y) -> ...</pre> <p>where <tt>X</tt> is the class of <tt>x</tt> and <tt>Y</tt> is the class of <tt>y</tt>.</p> </div> <div><p>This operator may be used as a prefix unary operator in an expression like <tt><<y</tt>. The user may <a href="_installing_spmethods.html">install a method</a> for handling such expressions with code such as</p> <pre> << Y := (y) -> ...</pre> <p>where <tt>Y</tt> is the class of <tt>y</tt>.</p> </div> </div> </div> </div> </body> </html>