One Hat Cyber Team
Your IP :
216.73.216.14
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
/
TensorComplexes
/
html
/
View File Name :
toc.html
<!DOCTYPE html> <html lang="en"> <head> <title>TensorComplexes : Table of Contents</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="multilinear algebra for the construction of tensor complexes" href="index.html">TensorComplexes</a> :: <a href="toc.html">Table of Contents</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> next | previous | forward | backward | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <h1>TensorComplexes : Table of Contents</h1> <ul> <li><span><a title="multilinear algebra for the construction of tensor complexes" href="index.html">TensorComplexes</a> -- multilinear algebra for the construction of tensor complexes</span></li> <li><span><a title="gives the list used to label the basis elements of a labeled module" href="_basis__List.html">basisList</a> -- gives the list used to label the basis elements of a labeled module</span></li> <li><span><a title="produces one surjection from the Cauchy decomposition of the exterior power of a tensor product" href="_cauchy__Map.html">cauchyMap</a> -- produces one surjection from the Cauchy decomposition of the exterior power of a tensor product</span></li> <li><span><a title="Exterior power of a @TO LabeledModule@" href="_exterior__Power_lp__Z__Z_cm__Labeled__Module_rp.html">exteriorPower(ZZ,LabeledModule)</a> -- Exterior power of a @TO LabeledModule@</span></li> <li><span><a title="make a flattened tensor from elementary symmetric functions" href="_flattened__E__S__Tensor.html">flattenedESTensor</a> -- make a flattened tensor from elementary symmetric functions</span></li> <li><span><a title="Make a generic tensor of given format" href="_flattened__Generic__Tensor.html">flattenedGenericTensor</a> -- Make a generic tensor of given format</span></li> <li><span><a title="outputs the label of a basis element of a labeled module" href="_from__Ordinal.html">fromOrdinal</a> -- outputs the label of a basis element of a labeled module</span></li> <li><span><a title="computes the hyperdeterminant of a boundary format tensor" href="_hyperdeterminant.html">hyperdeterminant</a> -- computes the hyperdeterminant of a boundary format tensor</span></li> <li><span><a title="computes a matrix whose determinant equals the hyperdeterminant of a boundary format tensor" href="_hyperdeterminant__Matrix.html">hyperdeterminantMatrix</a> -- computes a matrix whose determinant equals the hyperdeterminant of a boundary format tensor</span></li> <li><span><a title="the class of free modules with a labeled basis" href="___Labeled__Module.html">LabeledModule</a> -- the class of free modules with a labeled basis</span></li> <li><span><a title="makes a labeled module" href="_labeled__Module.html">labeledModule</a> -- makes a labeled module</span></li> <li><span><a title="the class of maps between LabeledModules" href="___Labeled__Module__Map.html">LabeledModuleMap</a> -- the class of maps between LabeledModules</span></li> <li><span><a title="create a LabeledModuleMap by specifying a function that gives each entry" href="_map_lp__Labeled__Module_cm__Labeled__Module_cm__Function_rp.html">map(LabeledModule,LabeledModule,Function)</a> -- create a LabeledModuleMap by specifying a function that gives each entry</span></li> <li><span><a title="creates a new LabeledModuleMap from a given LabeledModuleMap" href="_map_lp__Labeled__Module_cm__Labeled__Module_cm__Labeled__Module__Map_rp.html">map(LabeledModule,LabeledModule,LabeledModuleMap)</a> -- creates a new LabeledModuleMap from a given LabeledModuleMap</span></li> <li><span><a title="creates a LabeledModuleMap from a list" href="_map_lp__Labeled__Module_cm__Labeled__Module_cm__List_rp.html">map(LabeledModule,LabeledModule,List)</a> -- creates a LabeledModuleMap from a list</span></li> <li><span><a title="creates a LabeledModuleMap from a matrix" href="_map_lp__Labeled__Module_cm__Labeled__Module_cm__Matrix_rp.html">map(LabeledModule,LabeledModule,Matrix)</a> -- creates a LabeledModuleMap from a matrix</span></li> <li><span><a title="creates scalar multiplication by an integer as a LabeledModuleMap" href="_map_lp__Labeled__Module_cm__Labeled__Module_cm__Z__Z_rp.html">map(LabeledModule,LabeledModule,ZZ)</a> -- creates scalar multiplication by an integer as a LabeledModuleMap</span></li> <li><span><a title="creates a map of labeled free modules whose image is the minors of a map of labeled free modules" href="_minors__Map.html">minorsMap</a> -- creates a map of labeled free modules whose image is the minors of a map of labeled free modules</span></li> <li><span><span class="tt">MonSize</span> (missing documentation)<!--tag: MonSize--> </span></li> <li><span><a title="produce all subsets of a given size, allowing repetitions" href="_multi__Subsets.html">multiSubsets</a> -- produce all subsets of a given size, allowing repetitions</span></li> <li><span><a title="constructs the Eisenbud--Schreyer pure resolution of a given type" href="_pure__Res__E__S.html">pureResES</a> -- constructs the Eisenbud--Schreyer pure resolution of a given type</span></li> <li><span><a title="computes the first map of the Eisenbud--Schreyer pure resolution of a given type" href="_pure__Res__E__S1.html">pureResES1</a> -- computes the first map of the Eisenbud--Schreyer pure resolution of a given type</span></li> <li><span><a title="constructs the balanced tensor complex of a given type" href="_pure__Res__T__C.html">pureResTC</a> -- constructs the balanced tensor complex of a given type</span></li> <li><span><a title="computes the first map of a balanced tensor complex with pure resolution of a given type" href="_pure__Res__T__C1.html">pureResTC1</a> -- computes the first map of a balanced tensor complex with pure resolution of a given type</span></li> <li><span><a title="the source of a map of a labeled modules" href="_source_lp__Labeled__Module__Map_rp.html">source(LabeledModuleMap)</a> -- the source of a map of a labeled modules</span></li> <li><span><a title="creates the symmetric multiplication map" href="_symmetric__Multiplication.html">symmetricMultiplication</a> -- creates the symmetric multiplication map</span></li> <li><span><a title="Symmetric power of a @TO LabeledModule@" href="_symmetric__Power_lp__Z__Z_cm__Labeled__Module_rp.html">symmetricPower(ZZ,LabeledModule)</a> -- Symmetric power of a @TO LabeledModule@</span></li> <li><span><a title="the target of a map of a labeled modules" href="_target_lp__Labeled__Module__Map_rp.html">target(LabeledModuleMap)</a> -- the target of a map of a labeled modules</span></li> <li><span><a title="creates the tensor product of two labeled modules, as a labeled module" href="_tensor_lp__Labeled__Module_cm__Labeled__Module_rp.html">tensor(LabeledModule,LabeledModule)</a> -- creates the tensor product of two labeled modules, as a labeled module</span></li> <li><span><a title="creates the tensor product of two maps of labeled modules, as a map of labeled module" href="_tensor_lp__Labeled__Module__Map_cm__Labeled__Module__Map_rp.html">tensor(LabeledModuleMap,LabeledModuleMap)</a> -- creates the tensor product of two maps of labeled modules, as a map of labeled module</span></li> <li><span><a title="computes the first map of the tensor complex" href="_tensor__Complex1.html">tensorComplex1</a> -- computes the first map of the tensor complex</span></li> <li><span><a title="tensor product of Modules and LabeledModules, Matrices, Maps and LabeledModuleMaps" href="_tensor__Product.html">tensorProduct</a> -- tensor product of Modules and LabeledModules, Matrices, Maps and LabeledModuleMaps</span></li> <li><span><a title="turns the label of a basis element of a labeled module into a corresponding ordinal" href="_to__Ordinal.html">toOrdinal</a> -- turns the label of a basis element of a labeled module into a corresponding ordinal</span></li> <li><span><a title="produces the trace map from a ring to a free module tensored with its dual" href="_trace__Map.html">traceMap</a> -- produces the trace map from a ring to a free module tensored with its dual</span></li> <li><span><a title="gives the list of underlying modules of a labeled module" href="_underlying__Modules.html">underlyingModules</a> -- gives the list of underlying modules of a labeled module</span></li> </ul> </body> </html>