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GroebnerBasis (modified)Integrate (modified)

PolynomialReduce

FilledSmallSquarePolynomialReduce[poly, , , ... , , , ... ] yields a list representing a reduction of poly in terms of the .

FilledSmallSquare The list has the form , , ... , b, where b is minimal and + + ... + b is exactly poly.

FilledSmallSquare The polynomial b has the property that none of its terms are divisible by leading terms of any of the .

FilledSmallSquare If the form a Gröbner basis then this property uniquely determines the remainder obtained from PolynomialReduce.

FilledSmallSquare The following options can be given, as for GroebnerBasis:

FilledSmallSquare See The Mathematica Book: Section 3.3.4.

FilledSmallSquare See also: GroebnerBasis, PolynomialRemainder, PolynomialMod.

FilledSmallSquare Related package: Algebra`SymmetricPolynomials`.

Further Examples

GroebnerBasis (modified)Integrate (modified)