PolynomialReduce

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

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

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

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

The following options can be given, as for GroebnerBasis:

See The Mathematica Book: Section 3.3.4.

See also: GroebnerBasis, PolynomialRemainder, PolynomialMod.

Related package: Algebra`SymmetricPolynomials`.

Further Examples