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# OreTools

## Category Documents

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OreTools/Utility/Coefficient
return the coefficient of a specific power in an Ore polynomial

OreTools/Utility
Overview of the OreTools[Utility] Subpackage

OreTools/Arith

OreTools/QuoRem
compute the right or left quotient of two Ore polynomials

OreTools/SetOreRing
define an Ore polynomial ring

OreTools/Properties/GetRingName
return the name of the Ore algebra

OreTools/Properties
Overview of the OreTools[Properties] Subpackage

OreTools/Content
return the content of an Ore polynomial

OreTools/ParametricGCRD
determine the dependency of GCRD on a parameter

OreTools/Modular/Divisions
compute the right pseudo-quotient of two Ore polynomials modulo a prime

OreTools/Modular/FractionFreeRightEuclidean
perform a fraction-free version of right Euclidean algorithm (usual, half-extended, and extended) modulo a prime

OreTools/Modular/GCRD
compute the GCRD of two Ore polynomials modulo a prime

OreTools/Modular/ModularOrePoly
compute the normal form of an Ore polynomial modulo a prime

OreTools/Modular/RingArith

OreTools/Modular
Overview of the OreTools[Modular] Subpackage

OreTools/MathOperations/AccurateIntegration
return isomorphic images of Ore polynomials under the Hilbert twist reduction

OreTools/MathOperations
Overview of the OreTools[MathOperations] Subpackage

OreTools/GCDLCM
compute greatest common right or left divisor (GCRD or GCLD) of Ore polynomials

OreTools/FractionFree/RightEuclidean
return the subresultant sequence of first kind

OreTools/FractionFree
Overview of the OreTools[FractionFree] Subpackage

OreTools/Euclidean
perform right or left Euclidean algorithm

OreTools/Converters/FromOrePolyToPoly
convert an OrePoly structure to the corresponding linear functional equation

OreTools/Converters
Overview of the OreTools[Converters] Subpackage

construct the adjoint of a given Ore polynomial ring

OreTools/Apply
apply an Ore polynomial to an expression

OreTools/OreAlgebra
Overview of Pseudo-linear Algebra

OreTools/OrePoly
The OrePoly Structure

OreTools
Overview of the OreTools Package

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