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___Check.html
<!DOCTYPE html> <html lang="en"> <head> <title>Check -- Option for burkeResolution</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-infinity algebra and module structures on free resolutions" href="index.html">AInfinity</a> » <a title="compute a resolution from A-infinity structures" href="_burke__Resolution.html">burkeResolution</a> » <a title="Option for burkeResolution" href="___Check.html">Check</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="_picture.html">next</a> | previous | <a href="_picture.html">forward</a> | <a href="_burke__Resolution.html">backward</a> | <a href="_burke__Resolution.html">up</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>Check -- Option for burkeResolution</h1> <ul> <li> <dl class="element"> <dt>Usage: </dt> <dd><code class="language-macaulay2">F := burkeResolution(M, Check => true)</code></dd> </dl> </li> <li>Inputs: <ul> <li><span><span class="tt">M</span>, <span>a <a title="the class of all modules" href="../../Macaulay2Doc/html/___Module.html">module</a></span>, </span></li> <li><span><span class="tt">Check</span>, <span>a <a title="the class of boolean values" href="../../Macaulay2Doc/html/___Boolean.html">Boolean value</a></span>, </span></li> </ul> </li> <li>Outputs: <ul> <li><span><span class="tt">F</span>, <span>a <a title="the class of all chain complexes" href="../../Complexes/html/___Complex.html">complex</a></span>, </span></li> </ul> </li> </ul> <div> <h2>Description</h2> <div> <p>with Check => true, burkeResolution includes lines that check F.dd^2 == 0 and also that F is acyclic (as far as it has been computed). The default value is true.</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i1 : R = ZZ/101[a,b,c]/(ideal(a,b,c))^2 o1 = R o1 : QuotientRing</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i2 : M = coker vars R o2 = cokernel | a b c | 1 o2 : R-module, quotient of R</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i3 : elapsedTime burkeResolution(M, 7, Check => false) -- 1.59428s elapsed 1 3 9 27 81 243 729 2187 o3 = R <-- R <-- R <-- R <-- R <-- R <-- R <-- R 0 1 2 3 4 5 6 7 o3 : Complex</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i4 : elapsedTime burkeResolution(M, 7, Check => true) -- 2.10109s elapsed 1 3 9 27 81 243 729 2187 o4 = R <-- R <-- R <-- R <-- R <-- R <-- R <-- R 0 1 2 3 4 5 6 7 o4 : Complex</code></pre> </td> </tr> </table> </div> <div> <h2>Caveat</h2> <div> <p>The Check takes time.</p> </div> </div> <div> <h2>See also</h2> <ul> <li><span><a title="compute a resolution from A-infinity structures" href="_burke__Resolution.html">burkeResolution</a> -- compute a resolution from A-infinity structures</span></li> </ul> </div> <div> <div> <h2>Functions with optional argument named <span class="tt">Check</span>:</h2> <ul> <li><span><kbd>aInfinity(...,Check=>...)</kbd> -- see <span><a title="aInfinity algebra and module structures on free resolutions" href="_a__Infinity.html">aInfinity</a> -- aInfinity algebra and module structures on free resolutions</span></span></li> <li><span><kbd>burkeResolution(...,Check=>...)</kbd> -- see <span><a title="compute a resolution from A-infinity structures" href="_burke__Resolution.html">burkeResolution</a> -- compute a resolution from A-infinity structures</span></span></li> </ul> </div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="Option for burkeResolution" href="___Check.html">Check</a> is <span>a <a title="the class of all symbols" href="../../Macaulay2Doc/html/___Symbol.html">symbol</a></span>.</p> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">AInfinity.m2:1282:0</span>.</p> </div> </div> </div> </body> </html>
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