Colon, :, HColon
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ideal or module quotient
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Elim
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eliminate variables
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EquiIsoDec
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equidimensional isoradical decomposition
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GB.GetBettiMatrix
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returns the Betti matrix computed so far
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GB.GetNthSyz
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returns the part of the Nth syzygy module computed so far
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GB.GetNthSyzShifts
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shifts of the Nth syzygy module computed so far
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GB.GetRes
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returns the resolution computed so far
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GB.GetResLen
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returns the length of the resolution computed so far
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GB.ResReport
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status of an interactive resolution calculation
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GBasis
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calculate a Groebner basis
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GBM, HGBM
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intersection of ideals for zero-dimensional schemes
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GenRepr
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representation in terms of generators
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Gens
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list of generators of an ideal
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Gin
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generic initial ideal
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HIntersection, HIntersectionList
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intersection of ideals
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Homogenized
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homogenize with respect to an indeterminate
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Ideal
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convert an expression into an ideal
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IdealAndSeparatorsOfPoints
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ideal and separators for affine points
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IdealAndSeparatorsOfProjectivePoints
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ideal and separators for points
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IdealOfPoints
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ideal of a set of affine points
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IdealOfProjectivePoints
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ideal of a set of projective points
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Interreduce, Interreduced
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interreduce a list of polynomials or vectors
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Intersection, IntersectionList
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intersect lists, ideals, or modules
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IsIn
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check if one object is contained in another
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IsStable, IsStronglyStable, IsLexSegment
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checks if an ideal is stable (resp. strongly stable or a lex-segment)
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IsZero
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test whether an object is zero
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Len
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the length of an object
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LT
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the leading term of an object
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Max, Min
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a maximum or minimum element of a sequence or list
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MinGens
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list minimal generators
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Minimalize, Minimalized
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remove redundant generators
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MinSyzMinGens
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minimal generators of syzygies of minimal generators
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MonsInIdeal
|
ideal generated by the monomials in an ideal
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NF
|
normal form
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NFsAreZero
|
test if normal forms are zero
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PrimaryDecomposition
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primary decomposition of an ideal
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Product, Sum
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the product or sum of the elements of a list
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QuotientBasis
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vector space basis for zero-dimensional quotient rings
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QZP, ZPQ
|
change field for polynomials and ideals
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Radical
|
radical of an ideal
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RadicalOfUnmixed
|
radical of an unmixed ideal
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ReducedGBasis
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compute a reduced Groebner basis
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Res
|
free resolution
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Saturation, HSaturation
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saturation of ideals
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Size
|
the amount of memory used by an object
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Syz
|
syzygy modules
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SyzMinGens
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syzygy module for a set of minimal generators
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SyzOfGens
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syzygy module for a given set of generators
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Toric
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saturate toric ideals
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Toric.CheckInput
|
check input to Toric
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