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
/
View File Name :
_augment__Poset.html
<!DOCTYPE html> <html lang="en"> <head> <title>augmentPoset -- computes the poset with an adjoined minimum and maximum</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="computes the poset with an adjoined minimum and maximum" href="_augment__Poset.html">augmentPoset</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="_boolean__Lattice.html">next</a> | <a href="_atoms.html">previous</a> | <a href="_boolean__Lattice.html">forward</a> | <a href="_atoms.html">backward</a> | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>augmentPoset -- computes the poset with an adjoined minimum and maximum</h1> <ul> <li> <dl class="element"> <dt>Usage: </dt> <dd><code class="language-macaulay2">Q = augmentPoset P</code></dd> <dd><code class="language-macaulay2">Q = augmentPoset(P, a, b)</code></dd> </dl> </li> <li>Inputs: <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> <li><span><span class="tt">a</span>, <span>a <a title="the class of all things" href="../../Macaulay2Doc/html/___Thing.html">thing</a></span>, the new minimal element of $P$</span></li> <li><span><span class="tt">b</span>, <span>a <a title="the class of all things" href="../../Macaulay2Doc/html/___Thing.html">thing</a></span>, the new maximal element of $P$</span></li> </ul> </li> <li>Outputs: <ul> <li><span><span class="tt">Q</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 simply creates a new poset $Q$ with the minimal element $a$ and the maximal element $b$. If $a$ and $b$ are unspecified, the elements $0$ and $1$ are used, respectively.</p> </div> </div> <div> <h2>See also</h2> <ul> <li><span><a title="computes the poset with a new maximum element" href="_adjoin__Max.html">adjoinMax</a> -- computes the poset with a new maximum element</span></li> <li><span><a title="computes the poset with a new minimum element" href="_adjoin__Min.html">adjoinMin</a> -- computes the poset with a new minimum element</span></li> </ul> </div> <div> <div class="waystouse"> <h2>Ways to use <span class="tt">augmentPoset</span>:</h2> <ul> <li><kbd>augmentPoset(Poset)</kbd></li> <li><kbd>augmentPoset(Poset,Thing,Thing)</kbd></li> </ul> </div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="computes the poset with an adjoined minimum and maximum" href="_augment__Poset.html">augmentPoset</a> is <span>a <a title="a type of method function" href="../../Macaulay2Doc/html/___Method__Function.html">method function</a></span>.</p> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">Posets.m2:3096:0</span>.</p> </div> </div> </div> </body> </html>