Translations for monomial in the English»French Dictionary (Go to French»English)

monomial [Brit məˈnəʊmɪəl, Am məˈnoʊmiəl] N MATH

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monomial

Translations for monomial in the French»English Dictionary (Go to English»French)

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monomial

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English

The algebra is unital if one takes the empty product as a monomial. en.wikipedia.org

The remainder of this article assumes the first meaning of monomial. en.wikipedia.org

It consists in combining monomial orders on disjoint sets of indeterminates into a monomial order on their union. en.wikipedia.org

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. en.wikipedia.org

A monomial in the first sense is also a monomial in the second sense, because the multiplication by 1 is allowed. en.wikipedia.org

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. en.wikipedia.org

Note that polynomial matrices are "not" to be confused with monomial matrices, which are simply matrices with exactly one non-zero entry in each row and column. en.wikipedia.org

Alternatively, one may define it as a representation whose image is in the monomial matrices. en.wikipedia.org

Let the coefficient of this term be, then is either zero or a symmetric polynomial with a strictly smaller leading monomial. en.wikipedia.org

An induced representation of a one dimensional representation is called a monomial representation, because it can be represented as monomial matrices. en.wikipedia.org

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