monomial nel dizionario italiano Oxford-Paravia

Esempi monolingue (non verificati dalla Redazione di PONS)

inglese
A monomial in the first sense is also a monomial in the second sense, because the multiplication by 1 is allowed.
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Let the coefficient of this term be, then is either zero or a symmetric polynomial with a strictly smaller leading monomial.
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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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Now one proves by induction on the leading monomial in lexicographic order, that any nonzero homogeneous symmetric polynomial of degree can be written as polynomial in the elementary symmetric polynomials.
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An induced representation of a one dimensional representation is called a monomial representation, because it can be represented as monomial matrices.
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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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Alternatively, one may define it as a representation whose image is in the monomial matrices.
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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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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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