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<!DOCTYPE html> <html lang="en"> <head> <title>slice -- extract a slice of a tensor</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 computing equilibria in game theory" href="index.html">GameTheory</a> :: <a title="extract a slice of a tensor" href="_slice.html">slice</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="_spohn__C__I.html">next</a> | <a href="_random__Tensor.html">previous</a> | <a href="_spohn__C__I.html">forward</a> | <a href="_random__Tensor.html">backward</a> | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>slice -- extract a slice of a tensor</h1> <ul> <li> <dl class="element"> <dt>Usage: </dt> <dd><code class="language-macaulay2">slice(T, Lstart, Lend)</code></dd> </dl> </li> <li>Inputs: <ul> <li><span><span class="tt">T</span>, <span>an instance of the type <a title="a mutable hash table representing a tensor" href="___Tensor.html">Tensor</a></span>, A tensor from which to extract the slice.</span></li> <li><span><span class="tt">Lstart</span>, <span>a <a title="the class of all lists -- {...}" href="../../Macaulay2Doc/html/___List.html">list</a></span>, A list of fixed indices before the varying position.</span></li> <li><span><span class="tt">Lend</span>, <span>a <a title="the class of all lists -- {...}" href="../../Macaulay2Doc/html/___List.html">list</a></span>, A list of fixed indices after the varying position.</span></li> </ul> </li> <li>Outputs: <ul> <li><span><span>a <a title="the class of all lists -- {...}" href="../../Macaulay2Doc/html/___List.html">list</a></span>, A list of entries of the tensor along the specified dimension.</span></li> </ul> </li> </ul> <div> <h2>Description</h2> <div> <p>This method varies the index at the position given by the length of `Lstart`, iterating from 0 to $d_i - 1$, where $d_i$ is the corresponding index of the format.</p> <p>The slice is formed by fixing all other indices and varying only the one at the slicing position.</p> <p></p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i1 : T = zeroTensor(QQ, {2,3,2});</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i2 : T#{0,0,0} = 5;</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i3 : T#{0,1,0} = 6;</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i4 : T#{0,2,0} = 7;</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i5 : slice(T, {0}, {0}) o5 = {5, 6, 7} o5 : List</code></pre> </td> </tr> </table> </div> <div> <h2>See also</h2> <ul> <li><span><a title="generate index tuples for a tensor with given dimensions" href="_enumerate__Tensor__Indices.html">enumerateTensorIndices</a> -- generate index tuples for a tensor with given dimensions</span></li> <li><span><a title="a mutable hash table representing a tensor" href="___Tensor.html">Tensor</a> -- a mutable hash table representing a tensor</span></li> </ul> </div> <div> <div class="waystouse"> <h2>Ways to use <span class="tt">slice</span>:</h2> <ul> <li><kbd>slice(Tensor,List,List)</kbd></li> </ul> </div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="extract a slice of a tensor" href="_slice.html">slice</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">GameTheory.m2:1146:0</span>.</p> </div> </div> </div> </body> </html>
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