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<!DOCTYPE html> <html lang="en"> <head> <title># List -- length or cardinality of a list, hash table, dictionary, set, or string</title> <meta content="text/html; charset=utf-8" http-equiv="Content-Type"> <link type="text/css" rel="stylesheet" href="../../../../Macaulay2/Style/doc.css"> <link rel="stylesheet" href="../../../../Macaulay2/Style/katex/katex.min.css"> <script defer="defer" src="../../../../Macaulay2/Style/katex/katex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/auto-render.min.js"></script> <script> var macros = { "\\break": "\\\\", "\\ZZ": "\\mathbb{Z}", "\\NN": "\\mathbb{N}", "\\QQ": "\\mathbb{Q}", "\\RR": "\\mathbb{R}", "\\CC": "\\mathbb{C}", "\\PP": "\\mathbb{P}" }, delimiters = [ { left: "$$", right: "$$", display: true}, { left: "\\[", right: "\\]", display: true}, { left: "$", right: "$", display: false}, { left: "\\(", right: "\\)", display: false} ], ignoredTags = [ "kbd", "var", "samp", "script", "noscript", "style", "textarea", "pre", "code", "option" ]; document.addEventListener("DOMContentLoaded", function() { renderMathInElement(document.body, { delimiters: delimiters, macros: macros, ignoredTags: ignoredTags, trust: true }); }); </script> <style>.katex { font-size: 1em; }</style> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/copy-tex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/render-a11y-string.min.js"></script> <script src="../../../../Macaulay2/Style/prism.js"></script> <script>var current_version = '1.25.06';</script> <script src="../../../../Macaulay2/Style/version-select.js"></script> <link type="image/x-icon" rel="icon" href="../../../../Macaulay2/Style/icon.gif"> </head> <body> <div id="buttons"> <div> <a href="https://macaulay2.com/">Macaulay2</a> <span id="version-select-container"></span> » <a title="Macaulay2 documentation" href="index.html">Documentation </a> <br><a href="_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="Macaulay2 documentation" href="index.html">Macaulay2Doc</a> » <a href="___The_sp__Macaulay2_splanguage.html">The Macaulay2 language</a> » <a title="a detailed overview of lists and sequences in Macaulay2" href="_lists_spand_spsequences.html">lists and sequences</a> » <a title="length or cardinality of a list, hash table, dictionary, set, or string" href="__sh_sp__List.html"># List</a></span> </div> <div class="right"> <form method="get" action="https://www.google.com/search"> <input placeholder="Search" type="text" name="q" value=""> <input type="hidden" name="q" value="site:macaulay2.com/doc"> </form> <a href="_is__Empty.html">next</a> | <a href="_length_lp__Visible__List_rp.html">previous</a> | <a href="_is__Empty.html">forward</a> | <a href="_length_lp__Visible__List_rp.html">backward</a> | <a href="_lists_spand_spsequences.html">up</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1># List -- length or cardinality of a list, hash table, dictionary, set, or string</h1> <ul> <li><span>Operator: <a title="length or access to elements" href="__sh.html">#</a></span></li> <li> <dl class="element"> <dt>Usage: </dt> <dd><code class="language-macaulay2">#x</code></dd> </dl> </li> <li>Inputs: <ul> <li><span><span class="tt">x</span>, <span>a <a title="the class of all lists -- {...}" href="___List.html">list</a></span>, <span>a <a title="the class of all hash tables" href="___Hash__Table.html">hash table</a></span>, <span>a <a title="the class of all sets" href="___Set.html">set</a></span>, or <span>a <a title="the class of all strings" href="___String.html">string</a></span>, </span></li> </ul> </li> <li>Outputs: <ul> <li><span><span>an <a title="the class of all integers" href="___Z__Z.html">integer</a></span>, the length of <span class="tt">x</span></span></li> </ul> </li> </ul> <div> <h2>Description</h2> <div> <p>If <span class="tt">x</span> is a list, <span class="tt">#x</span> is the number of elements in <span class="tt">x</span>.</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i1 : L = {1, 2, 3, 2, 1};</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i2 : #L o2 = 5</code></pre> </td> </tr> </table> <div> <p>If <span class="tt">x</span> is a set, <span class="tt">#x</span> is the cardinality of <span class="tt">x</span>.</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i3 : S = new Set from L o3 = set {1, 2, 3} o3 : Set</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i4 : #S o4 = 3</code></pre> </td> </tr> </table> <div> <p>If <span class="tt">x</span> is a hash table, <span class="tt">#x</span> is the number of key-value pairs stored in <span class="tt">x</span>.</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i5 : T = new HashTable from {a => 1, b => 2} o5 = HashTable{a => 1} b => 2 o5 : HashTable</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i6 : #T o6 = 2</code></pre> </td> </tr> </table> <div> <p>If <span class="tt">x</span> is a string, <span class="tt">#x</span> is the number of characters in <span class="tt">x</span>.</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i7 : s = "a perfectly adequate example of a string";</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i8 : #s o8 = 40</code></pre> </td> </tr> </table> </div> <div> <h2>See also</h2> <ul> <li><span><a title="length or access to elements" href="__sh.html">#</a> -- length or access to elements</span></li> <li><span><a title="check existence of value in a list, hash table, database, or string" href="__sh_qu.html">#?</a> -- check existence of value in a list, hash table, database, or string</span></li> <li><span><a title="get value from list, hash table, database, dictionary, or string" href="___List_sp_sh_sp__Z__Z.html">BasicList # ZZ</a> -- get value from list, hash table, database, dictionary, or string</span></li> <li><span><a title="keys used in a hash table, dictionary, or database" href="_keys.html">keys</a> -- keys used in a hash table, dictionary, or database</span></li> <li><span><a title="list the pairs in a hash table, dictionary, or basic list" href="_pairs.html">pairs</a> -- list the pairs in a hash table, dictionary, or basic list</span></li> <li><span><a title="values in a hash table" href="_values.html">values</a> -- values in a hash table</span></li> <li><span><a href="_hash_sptables.html">hash tables</a></span></li> <li><span><a title="a detailed overview of lists and sequences in Macaulay2" href="_lists_spand_spsequences.html">lists and sequences</a> -- a detailed overview of lists and sequences in Macaulay2</span></li> </ul> </div> <div> <div class="waystouse"> <h2>Ways to use this method:</h2> <ul> <li><kbd># BasicList</kbd></li> <li><kbd># Dictionary</kbd></li> <li><kbd># HashTable</kbd></li> <li><span><a title="length or cardinality of a list, hash table, dictionary, set, or string" href="__sh_sp__List.html"># List</a> -- length or cardinality of a list, hash table, dictionary, set, or string</span></li> <li><kbd># Net</kbd></li> <li><kbd># Sequence</kbd></li> <li><kbd># Set</kbd></li> <li><kbd># String</kbd></li> </ul> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">Macaulay2Doc/ov_hashtables.m2:758:0</span>.</p> </div> </div> </div> </body> </html>