TensorComplexes : Index
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basisList -- gives the list used to label the basis elements of a labeled module
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basisList(LabeledModule) -- gives the list used to label the basis elements of a labeled module
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cauchyMap -- produces one surjection from the Cauchy decomposition of the exterior power of a tensor product
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cauchyMap(ZZ,LabeledModule) -- produces one surjection from the Cauchy decomposition of the exterior power of a tensor product
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exteriorPower(ZZ,LabeledModule) -- Exterior power of a @TO LabeledModule@
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flattenedESTensor -- make a flattened tensor from elementary symmetric functions
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flattenedGenericTensor -- Make a generic tensor of given format
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flattenedGenericTensor(List,Ring) -- Make a generic tensor of given format
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fromOrdinal -- outputs the label of a basis element of a labeled module
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fromOrdinal(ZZ,LabeledModule) -- outputs the label of a basis element of a labeled module
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hyperdeterminant -- computes the hyperdeterminant of a boundary format tensor
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hyperdeterminant(LabeledModuleMap) -- computes the hyperdeterminant of a boundary format tensor
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hyperdeterminantMatrix -- computes a matrix whose determinant equals the hyperdeterminant of a boundary format tensor
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hyperdeterminantMatrix(LabeledModuleMap) -- computes a matrix whose determinant equals the hyperdeterminant of a boundary format tensor
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LabeledModule -- the class of free modules with a labeled basis
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labeledModule -- makes a labeled module
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labeledModule(Module) -- makes a labeled module
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labeledModule(Ring) -- makes a labeled module
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LabeledModuleMap -- the class of maps between LabeledModules
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map(LabeledModule,LabeledModule,Function) -- create a LabeledModuleMap by specifying a function that gives each entry
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map(LabeledModule,LabeledModule,LabeledModuleMap) -- creates a new LabeledModuleMap from a given LabeledModuleMap
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map(LabeledModule,LabeledModule,List) -- creates a LabeledModuleMap from a list
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map(LabeledModule,LabeledModule,Matrix) -- creates a LabeledModuleMap from a matrix
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map(LabeledModule,LabeledModule,ZZ) -- creates scalar multiplication by an integer as a LabeledModuleMap
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minorsMap -- creates a map of labeled free modules whose image is the minors of a map of labeled free modules
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minorsMap(LabeledModuleMap,LabeledModule) -- creates a map of labeled free modules whose image is the minors of a map of labeled free modules
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minorsMap(Matrix,LabeledModule) -- creates a map of labeled free modules whose image is the minors of a map of labeled free modules
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MonSize (missing documentation)
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multiSubsets -- produce all subsets of a given size, allowing repetitions
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multiSubsets(List,ZZ) -- produce all subsets of a given size, allowing repetitions
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multiSubsets(ZZ,ZZ) -- produce all subsets of a given size, allowing repetitions
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pureResES -- constructs the Eisenbud--Schreyer pure resolution of a given type
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pureResES1 -- computes the first map of the Eisenbud--Schreyer pure resolution of a given type
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pureResTC -- constructs the balanced tensor complex of a given type
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pureResTC1 -- computes the first map of a balanced tensor complex with pure resolution of a given type
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source(LabeledModuleMap) -- the source of a map of a labeled modules
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symmetricMultiplication -- creates the symmetric multiplication map
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symmetricMultiplication(LabeledModule,ZZ,ZZ) -- creates the symmetric multiplication map
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symmetricPower(ZZ,LabeledModule) -- Symmetric power of a @TO LabeledModule@
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target(LabeledModuleMap) -- the target of a map of a labeled modules
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tensor(LabeledModule,LabeledModule) -- creates the tensor product of two labeled modules, as a labeled module
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tensor(LabeledModuleMap,LabeledModuleMap) -- creates the tensor product of two maps of labeled modules, as a map of labeled module
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tensorComplex1 -- computes the first map of the tensor complex
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tensorComplex1(LabeledModuleMap) -- computes the first map of the tensor complex
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tensorComplex1(LabeledModuleMap,List) -- computes the first map of the tensor complex
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TensorComplexes -- multilinear algebra for the construction of tensor complexes
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tensorProduct -- tensor product of Modules and LabeledModules, Matrices, Maps and LabeledModuleMaps
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toOrdinal -- turns the label of a basis element of a labeled module into a corresponding ordinal
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toOrdinal(Thing,LabeledModule) -- turns the label of a basis element of a labeled module into a corresponding ordinal
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traceMap -- produces the trace map from a ring to a free module tensored with its dual
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traceMap(LabeledModule) -- produces the trace map from a ring to a free module tensored with its dual
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underlyingModules -- gives the list of underlying modules of a labeled module
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underlyingModules(LabeledModule) -- gives the list of underlying modules of a labeled module