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monomial ADJ

monomial <monomial; monomials> N

monomial ADJ MATH

monomial

monomial N

monomial expression MATH

Monolingual examples (not verified by PONS Editors)

English
Since is symmetric, its leading monomial has weakly decreasing exponents, so it is some with a partition of.
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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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Monomial degree is fundamental to the theory of univariate and multivariate polynomials.
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It can be instinctive to use cyclic orders for symmetric functions, for example as in: where writing the final monomial as would distract from the pattern.
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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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The term "trigonometric polynomial" for the real-valued case can be seen as using the analogy: the functions sin ("nx") and cos ("nx") are similar to the monomial basis for polynomials.
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This is for instance the case when considering a monomial basis of a polynomial ring, or a monomial ordering of that basis.
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Each odd admissible sequence gives rise to a monomial in the corner invariants.
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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 remainder of this article assumes the first meaning of monomial.
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