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 polyheadral fans
- gfanFanCommonRefinement(Fan,Fan) -- find the common refinement of two polyheadral 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 poynomial ideal with coefficients in ZZ
- gfanOverIntegers(Ideal) -- all reduced Groebner bases of a poynomial ideal with coefficients in ZZ
- gfanOverIntegers(Ideal,List) -- all reduced Groebner bases of a poynomial 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 Pluecker coordinates
- gfanTropicalLinearSpace(List,ZZ,ZZ) -- equations of a tropical linear space from Pluecker 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)