One Hat Cyber Team
Your IP :
216.73.216.115
Server IP :
194.44.31.54
Server :
Linux zen.imath.kiev.ua 4.18.0-553.77.1.el8_10.x86_64 #1 SMP Fri Oct 3 14:30:23 UTC 2025 x86_64
Server Software :
Apache/2.4.37 (Rocky Linux) OpenSSL/1.1.1k
PHP Version :
5.6.40
Buat File
|
Buat Folder
Eksekusi
Dir :
~
/
usr
/
share
/
doc
/
Macaulay2
/
Posets
/
html
/
Edit File:
_random__Poset.html
<!DOCTYPE html> <html lang="en"> <head> <title>randomPoset -- generates a random poset with a given relation probability</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="../../Macaulay2Doc/html/index.html">Documentation </a> <br><a href="../../Macaulay2Doc/html/_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="a package for working with partially ordered sets" href="index.html">Posets</a> :: <a title="generates a random poset with a given relation probability" href="_random__Poset.html">randomPoset</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="_rank__Function.html">next</a> | <a href="_projectivize__Arrangement.html">previous</a> | <a href="_rank__Function.html">forward</a> | <a href="_projectivize__Arrangement.html">backward</a> | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>randomPoset -- generates a random poset with a given relation probability</h1> <ul> <li> <dl class="element"> <dt>Usage: </dt> <dd><code class="language-macaulay2">P = randomPoset n</code></dd> <dd><code class="language-macaulay2">P = randomPoset G</code></dd> <dd><code class="language-macaulay2">P = randomPoset(n, Bias => RR)</code></dd> <dd><code class="language-macaulay2">P = randomPoset(G, Bias => RR)</code></dd> </dl> </li> <li>Inputs: <ul> <li><span><span class="tt">n</span>, <span>an <a title="the class of all integers" href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, the number of vertices in the poset</span></li> <li><span><span class="tt">G</span>, <span>a <a title="the class of all lists -- {...}" href="../../Macaulay2Doc/html/___List.html">list</a></span>, the ground set of the poset</span></li> </ul> </li> <li><a href="../../Macaulay2Doc/html/_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>: <ul> <li><span><span class="tt">Bias</span><span class="tt"> => </span><span>a <a title="the class of all real numbers" href="../../Macaulay2Doc/html/___R__R.html">real number</a></span>, <span>default value .5</span>, the probability that a given relation will be present</span></li> </ul> </li> <li>Outputs: <ul> <li><span><span class="tt">P</span>, <span>an instance of the type <a title="a class for partially ordered sets (posets)" href="___Poset.html">Poset</a></span>, </span></li> </ul> </li> </ul> <div> <h2>Description</h2> <div> <p>This method generates a random poset with a given ground set ($\{1, \ldots, n\}$, if $n$ is specified).</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i1 : randomPoset 10 o1 = Relation Matrix: | 1 0 0 1 0 1 1 1 1 1 | | 0 1 0 0 1 1 1 1 1 1 | | 0 0 1 1 0 1 1 1 1 1 | | 0 0 0 1 0 0 0 1 0 0 | | 0 0 0 0 1 1 1 0 1 1 | | 0 0 0 0 0 1 1 0 1 0 | | 0 0 0 0 0 0 1 0 1 0 | | 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 1 | o1 : Poset</code></pre> </td> </tr> </table> <div> <p>The option Bias determines the probability that a given relation will be present. A higher Bias will lead to more relations.</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i2 : randomPoset(10, Bias => 0.1) o2 = Relation Matrix: | 1 0 0 0 1 0 1 1 0 0 | | 0 1 0 0 0 0 0 0 0 0 | | 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 1 1 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 1 | | 0 0 0 0 0 0 1 1 0 0 | | 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 1 | o2 : Poset</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i3 : randomPoset(10, Bias => 0.9) o3 = Relation Matrix: | 1 1 1 1 1 1 1 1 1 1 | | 0 1 1 1 1 1 1 1 1 1 | | 0 0 1 1 1 1 1 1 1 1 | | 0 0 0 1 1 1 1 1 1 1 | | 0 0 0 0 1 1 1 1 1 1 | | 0 0 0 0 0 1 1 1 1 1 | | 0 0 0 0 0 0 1 1 1 1 | | 0 0 0 0 0 0 0 1 1 1 | | 0 0 0 0 0 0 0 0 1 1 | | 0 0 0 0 0 0 0 0 0 1 | o3 : Poset</code></pre> </td> </tr> </table> </div> <div> <h2>See also</h2> <ul> <li><span><a title="get a random object" href="../../Macaulay2Doc/html/_random.html">random</a> -- get a random object</span></li> </ul> </div> <div> <div class="waystouse"> <h2>Ways to use <span class="tt">randomPoset</span>:</h2> <ul> <li><kbd>randomPoset(List)</kbd></li> <li><kbd>randomPoset(ZZ)</kbd></li> </ul> </div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="generates a random poset with a given relation probability" href="_random__Poset.html">randomPoset</a> is <span>a <a title="a type of method function" href="../../Macaulay2Doc/html/___Method__Function__With__Options.html">method function with options</a></span>.</p> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">Posets.m2:3824:0</span>.</p> </div> </div> </div> </body> </html>
Simpan