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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
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:
-
MonomialOrder Lexicographic the criterion used for ordering monomials CoefficientDomain Rationals the type of objects assumed to be coefficients Modulus 0 the modulus for numerical coefficients
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