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<!DOCTYPE html> <html lang="en"> <head> <title>commonest -- the most common elements of a list or tally</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="the most common elements of a list or tally" href="_commonest.html">commonest</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="_unique.html">next</a> | <a href="_tally.html">previous</a> | <a href="_unique.html">forward</a> | <a href="_tally.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>commonest -- the most common elements of a list or tally</h1> <ul> <li> <dl class="element"> <dt>Usage: </dt> <dd><code class="language-macaulay2">commonest A</code></dd> </dl> </li> <li>Inputs: <ul> <li><span><span class="tt">A</span>, <span>a <a title="the class of all visible lists" href="___Visible__List.html">visible list</a></span>, </span></li> </ul> </li> <li>Outputs: <ul> <li><span><span class="tt">L</span>, <span>a <a title="the class of all lists -- {...}" href="___List.html">list</a></span>, a list of the elements of <span class="tt">A</span> with the most repetitions</span></li> </ul> </li> </ul> <div> <h2>Description</h2> <div> <p>If a single element is the most common, a list of length one is the output.</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i1 : commonest {a,a,a,a,b,b,b,c,c,d,e} o1 = {a} o1 : List</code></pre> </td> </tr> </table> <div> <p>In the case of a tie, all commonest elements are returned.</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i2 : A = {a,a,a,a,b,b,b,b,c,c,c,c,d,e}; commonest A o3 = {c, a, b} o3 : List</code></pre> </td> </tr> </table> <div> <p><span class="tt">commonest</span> works on <a title="the class of all tally results" href="___Tally.html">Tally</a>s and <a title="the class of all sets" href="___Set.html">Set</a>s as well.</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i4 : T = tally A o4 = Tally{a => 4} b => 4 c => 4 d => 1 e => 1 o4 : Tally</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i5 : commonest T o5 = {c, a, b} o5 : List</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i6 : S = set A o6 = set {c, d, e, a, b} o6 : Set</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i7 : commonest S o7 = {c, d, e, a, b} o7 : List</code></pre> </td> </tr> </table> <div> <p>(Since every element of a set is unique, it is unclear why one would need <span class="tt">commonest(Set)</span>.)</p> </div> </div> <div> <h2>See also</h2> <ul> <li><span><a title="count how many elements of a list satisfy a condition" href="_number.html">number</a> -- count how many elements of a list satisfy a condition</span></li> <li><span><a title="whether everything in a list is the same" href="_same.html">same</a> -- whether everything in a list is the same</span></li> <li><span><a title="make a set" href="_set.html">set</a> -- make a set</span></li> <li><span><a title="tally the elements of a list, sequence, array, or string" href="_tally.html">tally</a> -- tally the elements of a list, sequence, array, or string</span></li> <li><span><a title="eliminate duplicates from a list" href="_unique.html">unique</a> -- eliminate duplicates from a list</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 <span class="tt">commonest</span>:</h2> <ul> <li><kbd>commonest(Set)</kbd></li> <li><kbd>commonest(Tally)</kbd></li> <li><kbd>commonest(VisibleList)</kbd></li> </ul> </div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="the most common elements of a list or tally" href="_commonest.html">commonest</a> is <span>a <a title="a type of method function" href="___Method__Function__Single.html">method function with a single argument</a></span>.</p> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">Macaulay2Doc/functions/commonest-doc.m2:44:0</span>.</p> </div> </div> </div> </body> </html>