PolynomialReduce

PolynomialReduce[poly,{poly1,poly2,},{x1,x2,}]
yields a list representing a reduction of poly in terms of the . The list has the form , where b is minimal and is exactly poly.

Details and OptionsDetails and Options

  • 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:
  • MonomialOrderLexicographicthe criterion used for ordering monomials
    CoefficientDomainRationalsthe type of objects assumed to be coefficients
    Modulus0the modulus for numerical coefficients
Introduced in 1996
(3.0)