gfanInterface : Index

• Conventions for calling methods with options
• gfan -- all reduced Groebner bases of a polynomial ideal
• gfan(Ideal) -- all reduced Groebner bases of a polynomial ideal
• gfan(List) -- all reduced Groebner bases of a polynomial ideal
• gfan(MarkedPolynomialList) -- all reduced Groebner bases of a polynomial ideal
• gfanBuchberger -- reduced Groebner basis with respect to some monomial order
• gfanBuchberger(Ideal) -- reduced Groebner basis with respect to some monomial order
• gfanBuchberger(List) -- reduced Groebner basis with respect to some monomial order
• gfanBuchberger(MarkedPolynomialList) -- reduced Groebner basis with respect to some monomial order
• gfanDoesIdealContain -- check ideal membership by the division algorithm
• gfanDoesIdealContain(Ideal,List) -- check ideal membership by the division algorithm
• gfanDoesIdealContain(List,List) -- check ideal membership by the division algorithm
• gfanDoesIdealContain(MarkedPolynomialList,List) -- check ideal membership by the division algorithm
• gfanFanCommonRefinement -- find the common refinement of two polyhedral fans
• gfanFanCommonRefinement(Fan,Fan) -- find the common refinement of two polyhedral fans
• gfanFanLink -- the link of a vertex in a polyhedral fan
• gfanFanLink(Fan,List) -- the link of a vertex in a polyhedral fan
• gfanFanProduct -- computes the product of polyhedral fans
• gfanFanProduct(Fan,Fan) -- computes the product of polyhedral fans
• gfanFunctions (missing documentation)
• gfanGroebnerCone -- polyhedral information about a Groebner cone
• gfanGroebnerCone(Ideal) -- polyhedral information about a Groebner cone
• gfanGroebnerCone(Ideal,Ideal) -- polyhedral information about a Groebner cone
• gfanGroebnerCone(Ideal,List) -- polyhedral information about a Groebner cone
• gfanGroebnerCone(Ideal,MarkedPolynomialList) -- polyhedral information about a Groebner cone
• gfanGroebnerCone(List) -- polyhedral information about a Groebner cone
• gfanGroebnerCone(List,Ideal) -- polyhedral information about a Groebner cone
• gfanGroebnerCone(List,List) -- polyhedral information about a Groebner cone
• gfanGroebnerCone(List,MarkedPolynomialList) -- polyhedral information about a Groebner cone
• gfanGroebnerCone(MarkedPolynomialList) -- polyhedral information about a Groebner cone
• gfanGroebnerCone(MarkedPolynomialList,Ideal) -- polyhedral information about a Groebner cone
• gfanGroebnerCone(MarkedPolynomialList,List) -- polyhedral information about a Groebner cone
• gfanGroebnerCone(MarkedPolynomialList,MarkedPolynomialList) -- polyhedral information about a Groebner cone
• gfanHomogeneitySpace -- homogeneity space of a list of polynomials
• gfanHomogeneitySpace(Ideal) -- homogeneity space of a list of polynomials
• gfanHomogeneitySpace(List) -- homogeneity space of a list of polynomials
• gfanHomogeneitySpace(MarkedPolynomialList) -- homogeneity space of a list of polynomials
• gfanHomogenize -- homogenize a list of polynomials with respect to a weight vector
• gfanHomogenize(Ideal,Symbol) -- homogenize a list of polynomials with respect to a weight vector
• gfanHomogenize(List,Symbol) -- homogenize a list of polynomials with respect to a weight vector
• gfanHomogenize(MarkedPolynomialList,Symbol) -- homogenize a list of polynomials with respect to a weight vector
• gfanInitialForms -- initial forms of polynomials with respect to a weight vector
• gfanInitialForms(Ideal,List) -- initial forms of polynomials with respect to a weight vector
• gfanInitialForms(List,List) -- initial forms of polynomials with respect to a weight vector
• gfanInitialForms(MarkedPolynomialList,List) -- initial forms of polynomials with respect to a weight vector
• gfanInteractive -- not implemented
• gfanInterface -- a Macaulay2 interface to gfan
• gfanIsMarkedGroebnerBasis -- checks if a list of polynomials are a Groebner basis
• gfanIsMarkedGroebnerBasis(Ideal) -- checks if a list of polynomials are a Groebner basis
• gfanIsMarkedGroebnerBasis(List) -- checks if a list of polynomials are a Groebner basis
• gfanIsMarkedGroebnerBasis(MarkedPolynomialList) -- checks if a list of polynomials are a Groebner basis
• gfanKrullDimension -- krull dimension
• gfanKrullDimension(Ideal) -- krull dimension
• gfanKrullDimension(List) -- krull dimension
• gfanKrullDimension(MarkedPolynomialList) -- krull dimension
• gfanLatticeIdeal -- computes the lattice ideal of a lattice
• gfanLatticeIdeal(List) -- computes the lattice ideal of a lattice
• gfanLeadingTerms -- leading terms of a list (or list of lists) of marked polynomials
• gfanLeadingTerms(List) -- leading terms of a list (or list of lists) of marked polynomials
• gfanLeadingTerms(MarkedPolynomialList) -- leading terms of a list (or list of lists) of marked polynomials
• gfanMarkPolynomialSet -- mark the initial terms of a list of polynomials with respect to a weight vector
• gfanMarkPolynomialSet(List,List) -- mark the initial terms of a list of polynomials with respect to a weight vector
• gfanMinkowskiSum -- the Minkowski sum of Newton polytopes
• gfanMinkowskiSum(Ideal) -- the Minkowski sum of Newton polytopes
• gfanMinkowskiSum(List) -- the Minkowski sum of Newton polytopes
• gfanMinors -- minors of a matrix of indeterminates
• gfanMinors(ZZ,ZZ,ZZ) -- minors of a matrix of indeterminates
• gfanMixedVolume -- mixed volume of a list of polynomials
• gfanMixedVolume(List) -- mixed volume of a list of polynomials
• gfanOverIntegers -- all reduced Groebner bases of a polynomial ideal with coefficients in ZZ
• gfanOverIntegers(Ideal) -- all reduced Groebner bases of a polynomial ideal with coefficients in ZZ
• gfanOverIntegers(Ideal,List) -- all reduced Groebner bases of a polynomial ideal with coefficients in ZZ
• gfanParsePolyhedralFan (missing documentation)
• gfanPolynomialSetUnion -- union of two lists of polynomials
• gfanPolynomialSetUnion(List,List) -- union of two lists of polynomials
• gfanPolynomialSetUnion(List,MarkedPolynomialList) -- union of two lists of polynomials
• gfanPolynomialSetUnion(MarkedPolynomialList,List) -- union of two lists of polynomials
• gfanPolynomialSetUnion(MarkedPolynomialList,MarkedPolynomialList) -- union of two lists of polynomials
• gfanRender -- render an image of a Groebner fan
• gfanRender(List) -- render an image of a Groebner fan
• gfanRender(String,List) -- render an image of a Groebner fan
• gfanRenderStaircase -- render the staircase of a monomial initial ideal
• gfanRenderStaircase(List) -- render the staircase of a monomial initial ideal
• gfanRenderStaircase(String,List) -- render the staircase of a monomial initial ideal
• gfanResultantFan -- Tropical variety of the sparse (toric) resultant variety.
• gfanResultantFan(List) -- Tropical variety of the sparse (toric) resultant variety.
• gfanSaturation -- saturation of an ideal
• gfanSaturation(Ideal) -- saturation of an ideal
• gfanSecondaryFan -- computes the secondary fan of a vector configuration
• gfanSecondaryFan(List) -- computes the secondary fan of a vector configuration
• gfanStableIntersection -- computes the stable intersection of two balanced fans
• gfanStats -- display certain properties of a list of polynomials
• gfanStats(List) -- display certain properties of a list of polynomials
• gfanSubstitute -- rename the variables of a list of polynomials
• gfanSubstitute(Ideal,PolynomialRing) -- rename the variables of a list of polynomials
• gfanSubstitute(List,PolynomialRing) -- rename the variables of a list of polynomials
• gfanSubstitute(MarkedPolynomialList,PolynomialRing) -- rename the variables of a list of polynomials
• gfanToLatex -- convert a list of polynomials to LaTeX
• gfanToLatex(List) -- convert a list of polynomials to LaTeX
• gfanToLatex(MarkedPolynomialList) -- convert a list of polynomials to LaTeX
• gfanToPolyhedralFan -- polyhedral data about the fan of a list of Groebner bases
• gfanToPolyhedralFan(List) -- polyhedral data about the fan of a list of Groebner bases
• gfanTropicalBasis -- tropical basis of an ideal
• gfanTropicalBasis(Ideal) -- tropical basis of an ideal
• gfanTropicalBruteForce -- computes the tropical variety of an ideal
• gfanTropicalBruteForce(List) -- computes the tropical variety of an ideal
• gfanTropicalEvaluation -- evaluates a tropical polynomial function
• gfanTropicalEvaluation(RingElement,List) -- evaluates a tropical polynomial function
• gfanTropicalFunction -- tropicalizes a polynomial
• gfanTropicalFunction(RingElement) -- tropicalizes a polynomial
• gfanTropicalHyperSurface -- the tropical hypersurface of a principal ideal
• gfanTropicalHyperSurface(RingElement) -- the tropical hypersurface of a principal ideal
• gfanTropicalHyperSurfaceReconstruction (missing documentation)
• gfanTropicalIntersection -- polyhedral data describing intersection of tropical hypersurfaces
• gfanTropicalIntersection(List) -- polyhedral data describing intersection of tropical hypersurfaces
• gfanTropicalLifting -- not implemented
• gfanTropicalLinearSpace -- equations of a tropical linear space from Plücker coordinates
• gfanTropicalLinearSpace(List,ZZ,ZZ) -- equations of a tropical linear space from Plücker coordinates
• gfanTropicalMultiplicity -- multiplicity of a tropical cone
• gfanTropicalMultiplicity(List) -- multiplicity of a tropical cone
• gfanTropicalRank -- the tropical rank of a matrix
• gfanTropicalRank(Matrix) -- the tropical rank of a matrix
• gfanTropicalStartingCone -- a pair of Groebner bases for use with gfanTropicalTraverse
• gfanTropicalStartingCone(...,stable=>...) -- a pair of Groebner bases for use with gfanTropicalTraverse
• gfanTropicalStartingCone(Ideal) -- a pair of Groebner bases for use with gfanTropicalTraverse
• gfanTropicalStartingCone(List) -- a pair of Groebner bases for use with gfanTropicalTraverse
• gfanTropicalTraverse -- polyhedral data describing a tropical variety
• gfanTropicalTraverse(...,stable=>...) -- polyhedral data describing a tropical variety
• gfanTropicalTraverse(List) -- polyhedral data describing a tropical variety
• gfanTropicalWeilDivisor -- the tropical Weil divisor of a piecewise linear function
• gfanTropicalWeilDivisor(Fan,Fan) -- the tropical Weil divisor of a piecewise linear function
• gfanVersion (missing documentation)
• Installation and Configuration of gfanInterface
• MarkedPolynomialList
• markedPolynomialList -- constructs a MarkedPolynomialList
• MPLConverter -- Converts lists or ideals into markedPolynomialLists
• MPLConverter(Ideal) -- Converts lists or ideals into markedPolynomialLists
• MPLConverter(List) -- Converts lists or ideals into markedPolynomialLists
• multiplicitiesReorder (missing documentation)
• polymakeConeToCone (missing documentation)
• polymakeFanToFan (missing documentation)
• toPolymakeFormat (missing documentation)