monomial στο Oxford Spanish Dictionary

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monomial
Αμερικανικά Αγγλικά

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Αγγλικά
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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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).
en.wikipedia.org
Alternatively, one may define it as a representation whose image is in the 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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Since is symmetric, its leading monomial has weakly decreasing exponents, so it is some with a partition of.
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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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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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The most common polynomial basis is the monomial basis consisting of all monomials.
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A monomial of variables in this semiring is a linear map, represented in classical arithmetic as a linear function of the variables with integer coefficients.
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A given monomial's presence or absence in a polynomial corresponds to that monomial's coefficient being 1 or 0 respectively.
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