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monomial <monomial; monomials> N

monomial ADJ MATH

monomial expression MATH

Monolingual examples (not verified by PONS Editors)

English
It first compares the dot product of the exponent sequences of the monomials with this weight vector, and in case of a tie uses some other fixed monomial order.
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The most common polynomial basis is the monomial basis consisting of all monomials.
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In this order monomials are compared first by total degree, with ties broken by taking the smallest monomial with respect to lexicographic ordering with the variables reversed.
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Once a monomial ordering is fixed, the "terms" of a polynomial (product of a monomial with its nonzero coefficient) are naturally ordered by decreasing monomials (for this order).
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Finding resolvent invariants for a given group is relatively easy: for example one may choose a monomial and consider the sum of the monomials in this orbit.
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