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# RandomIdeals : Index

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

- AlexanderProbability -- option to randomSquareFreeStep
- Finding Extreme Examples -- Ways to use random ideals to search for (counter)-examples
- idealChainFromShelling -- Produces chains of ideals from a shelling.
- idealChainFromShelling(List) -- Produces chains of ideals from a shelling.
- idealChainFromShelling(Ring,List) -- Produces chains of ideals from a shelling.
- idealFromShelling -- Produces an ideal from a shelling
- idealFromShelling(List) -- Produces an ideal from a shelling
- idealFromShelling(Ring,List) -- Produces an ideal from a shelling
- isShelling -- determines whether a list represents a shelling of a simplicial complex.
- isShelling(List) -- determines whether a list represents a shelling of a simplicial complex.
- randomAddition -- Adds a random facet to a shellable complex
- randomAddition(Ring,ZZ,List) -- Adds a random facet to a shellable complex
- randomAddition(ZZ,ZZ,List) -- Adds a random facet to a shellable complex
- randomBinomialEdgeIdeal -- Creates a binomial edge ideal from a random graph with n vertices and t edges.
- randomBinomialEdgeIdeal(ZZ,ZZ) -- Creates a binomial edge ideal from a random graph with n vertices and t edges.
- randomBinomialIdeal -- randomBinomialIdeal with binomials of given degrees
- randomBinomialIdeal(List,Ring) -- randomBinomialIdeal with binomials of given degrees
- randomBinomialIdeal(Sequence,Ring) -- randomBinomialIdeal with binomials of given degrees
- randomEdgeIdeal -- Creates an edge ideal from a random graph with n vertices and t edges.
- randomEdgeIdeal(ZZ,ZZ) -- Creates an edge ideal from a random graph with n vertices and t edges.
- randomElementsFromIdeal -- Chooses random elements of given degrees in a given ideal.
- randomElementsFromIdeal(List,Ideal) -- Chooses random elements of given degrees in a given ideal.
- randomIdeal -- randomIdeal made from a given set of monomials
- randomIdeal(List,Matrix) -- randomIdeal made from a given set of monomials
- randomIdeal(Sequence,Matrix) -- randomIdeal made from a given set of monomials
- RandomIdeals -- A package to construct various sorts of random ideals
- randomMonomial -- Choose a random monomial of given degree in a given ring
- randomMonomial(ZZ,Ring) -- Choose a random monomial of given degree in a given ring
- randomMonomialIdeal -- random monomial ideal with given degree generators
- randomMonomialIdeal(List,Ring) -- random monomial ideal with given degree generators
- randomMonomialIdeal(Sequence,Ring) -- random monomial ideal with given degree generators
- randomPureBinomialIdeal -- randomPureBinomialIdeal with binomials of given degrees
- randomPureBinomialIdeal(List,Ring) -- randomPureBinomialIdeal with binomials of given degrees
- randomPureBinomialIdeal(Sequence,Ring) -- randomPureBinomialIdeal with binomials of given degrees
- randomShellableIdeal -- Produces a ideal from a random shellable simplicial complex
- randomShellableIdeal(Ring,ZZ,ZZ) -- Produces a ideal from a random shellable simplicial complex
- randomShellableIdealChain -- Produces a chain of ideals from a random shelling
- randomShellableIdealChain(Ring,ZZ) -- Produces a chain of ideals from a random shelling
- randomShellableIdealChain(Ring,ZZ,ZZ) -- Produces a chain of ideals from a random shelling
- randomShelling -- produces a random chain of shellable complexes
- randomShelling(Ring,ZZ) -- produces a random chain of shellable complexes
- randomShelling(Ring,ZZ,ZZ) -- produces a random chain of shellable complexes
- randomShelling(ZZ,ZZ) -- produces a random chain of shellable complexes
- randomShelling(ZZ,ZZ,ZZ) -- produces a random chain of shellable complexes
- randomSparseIdeal -- randomSparseIdeal made from a given set of monomials
- randomSparseIdeal(Matrix,ZZ,ZZ) -- randomSparseIdeal made from a given set of monomials
- randomSquareFreeMonomialIdeal -- random square-free monomial ideal with given degree generators
- randomSquareFreeMonomialIdeal(List,Ring) -- random square-free monomial ideal with given degree generators
- randomSquareFreeMonomialIdeal(Sequence,Ring) -- random square-free monomial ideal with given degree generators
- randomSquareFreeStep -- A step in a random walk with uniform distribution over all monomial ideals
- randomSquareFreeStep(...,AlexanderProbability=>...) -- A step in a random walk with uniform distribution over all monomial ideals
- randomSquareFreeStep(Ideal) -- A step in a random walk with uniform distribution over all monomial ideals
- randomSquareFreeStep(List) -- A step in a random walk with uniform distribution over all monomial ideals
- randomSquareFreeStep(MonomialIdeal) -- A step in a random walk with uniform distribution over all monomial ideals
- randomToricEdgeIdeal -- Creates a toric edge ideal from a random graph with n vertices and t edges.
- randomToricEdgeIdeal(ZZ,ZZ) -- Creates a toric edge ideal from a random graph with n vertices and t edges.
- regSeq -- regular sequence of powers of the variables, in given degrees
- regSeq(List,Ring) -- regular sequence of powers of the variables, in given degrees
- regSeq(Sequence,Ring) -- regular sequence of powers of the variables, in given degrees
- squareFree -- ideal of all square-free monomials of given degree
- squareFree(ZZ,Ring) -- ideal of all square-free monomials of given degree