Macaulay2
»
Documentation
Packages
»
gfanInterface
::
Table of Contents
next  previous  forward  backward  up 
index

toc
gfanInterface : Table of Contents
gfanInterface
 a Macaulay2 interface to gfan
Conventions for calling methods with options
gfan
 all reduced Groebner bases of a polynomial ideal
gfanBuchberger
 reduced Groebner basis with respect to some monomial order
gfanDoesIdealContain
 check ideal membership by the division algorithm
gfanFanCommonRefinement
 find the common refinement of two polyhedral fans
gfanFanLink
 the link of a vertex in a polyhedral fan
gfanFanProduct
 computes the product of polyhedral fans
gfanFunctions
(missing documentation)
gfanGroebnerCone
 polyhedral information about a Groebner cone
gfanHomogeneitySpace
 homogeneity space of a list of polynomials
gfanHomogenize
 homogenize a list of polynomials with respect to a weight vector
gfanInitialForms
 initial forms of polynomials with respect to a weight vector
gfanInteractive
 not implemented
gfanIsMarkedGroebnerBasis
 checks if a list of polynomials are a Groebner basis
gfanKrullDimension
 krull dimension
gfanLatticeIdeal
 computes the lattice ideal of a lattice
gfanLeadingTerms
 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
gfanMinkowskiSum
 the Minkowski sum of Newton polytopes
gfanMinors
 minors of a matrix of indeterminates
gfanMixedVolume
 mixed volume of a list of polynomials
gfanOverIntegers
 all reduced Groebner bases of a polynomial ideal with coefficients in ZZ
gfanParsePolyhedralFan
(missing documentation)
gfanPolynomialSetUnion
 union of two lists of polynomials
gfanRender
 render an image of a Groebner fan
gfanRenderStaircase
 render the staircase of a monomial initial ideal
gfanResultantFan
 Tropical variety of the sparse (toric) resultant variety.
gfanSaturation
 saturation of an ideal
gfanSecondaryFan
 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
gfanSubstitute
 rename the variables of a list of polynomials
gfanToLatex
 convert a list of polynomials to LaTeX
gfanToPolyhedralFan
 polyhedral data about the fan of a list of Groebner bases
gfanTropicalBasis
 tropical basis of an ideal
gfanTropicalBruteForce
 computes the tropical variety of an ideal
gfanTropicalEvaluation
 evaluates a tropical polynomial function
gfanTropicalFunction
 tropicalizes a polynomial
gfanTropicalHyperSurface
 the tropical hypersurface of a principal ideal
gfanTropicalHyperSurfaceReconstruction
(missing documentation)
gfanTropicalIntersection
 polyhedral data describing intersection of tropical hypersurfaces
gfanTropicalLifting
 not implemented
gfanTropicalLinearSpace
 equations of a tropical linear space from Plücker coordinates
gfanTropicalMultiplicity
 multiplicity of a tropical cone
gfanTropicalRank
 the tropical rank of a matrix
gfanTropicalStartingCone
 a pair of Groebner bases for use with gfanTropicalTraverse
gfanTropicalTraverse
 polyhedral data describing a tropical variety
gfanTropicalWeilDivisor
 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
multiplicitiesReorder
(missing documentation)
polymakeConeToCone
(missing documentation)
polymakeFanToFan
(missing documentation)
toPolymakeFormat
(missing documentation)