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# Groebner

## Category Documents

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Groebner/Basis
compute a Groebner basis

Groebner/Basis_algorithms
Algorithms used by Groebner[Basis]

Groebner/Basis_details
Computing non-commutative Groebner bases and Groebner bases for modules

Groebner/FGLM
convert Groebner bases from one ordering to another

Groebner/HilbertDimension
compute Hilbert Dimension

Groebner/HilbertSeries
compute Hilbert series

Groebner/Homogenize
homogenize polynomials and ideals

Groebner/InitialForm
compute the initial form of a polynomial

Groebner/InterReduce
inter-reduce a list of polynomials

Groebner/IsBasis
test for a Groebner basis

Groebner/IsProper
decide if a given algebraic system is algebraically consistent

Groebner/IsZeroDimensional
decide if a system has a finite number of solutions

Compute the leading term of a polynomial

Groebner/MatrixOrder
compute matrices for monomial orders

Groebner/MonomialOrder
construct a MonomialOrder

Groebner/MultiplicationMatrix
compute multiplication matrices

Groebner/NormalForm
normal form of a polynomial modulo an ideal

Groebner/RationalUnivariateRepresentation
compute a rational univariate representation

Groebner/RememberBasis
make a Groebner basis known to the system

Groebner/SPolynomial
compute S-polynomials

Groebner/Solve
factoring Buchberger algorithm

Groebner/SuggestVariableOrder
choose a good variable order

Groebner/Support
compute the support of a polynomial

Groebner/TestOrder
compare monomials in a monomial order

Groebner/ToricIdealBasis
compute Groebner bases of toric ideals

Groebner/UnivariatePolynomial
compute a univariate polynomial

Groebner/Walk
convert Groebner bases from one ordering to another

Groebner/MultivariateCyclicVector
general-purpose and parametrizable iteration algorithm

Groebner/terminology
Definitions for leading monomials, coefficients, and terms

Groebner/pair_selection_strategy
Set pair selection strategy for Buchberger algorithm

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