- monomials
- mo·no·mi·al || mə'nəʊmɪəl n. one term or letter (Algebra) adj. made of one term; of a monomial (Algebra)
English contemporary dictionary. 2014.
monomials
Look at other dictionaries:
Monomial order — In mathematics, a monomial order is a total order on the set of all (monic) monomials in a given polynomial ring, satisfying the following two properties: If u < v and w is any other monomial, then uw<vw. In other words, the ordering… … Wikipedia
Monomial — In mathematics, in the context of polynomials, the word monomial can have one of two different meanings: The first is a product of powers of variables, or formally any value obtained by finitely many multiplications of a variable. If only a… … Wikipedia
Elementary symmetric polynomial — In mathematics, specifically in commutative algebra, the elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial P can be expressed as a polynomial in elementary… … Wikipedia
Lexicographical order — In mathematics, the lexicographic or lexicographical order, (also known as lexical order, dictionary order, alphabetical order or lexicographic(al) product), is a generalization of the way the alphabetical order of words is based on the… … Wikipedia
Poincaré–Birkhoff–Witt theorem — In the theory of Lie algebras, the Poincaré–Birkhoff–Witt theorem (Poincaré (1900), G. D. Birkhoff (1937), Witt (1937); frequently contracted to PBW theorem) is a result giving an explicit description of the universal enveloping algebra of a Lie… … Wikipedia
Zhegalkin polynomial — Zhegalkin (also Zegalkin or Gegalkine) polynomials form one of many possible representations of the operations of Boolean algebra. Introduced by the Russian mathematician I.I. Zhegalkin in 1927, they are the polynomials of ordinary high school… … Wikipedia
Polynomial ring — In mathematics, especially in the field of abstract algebra, a polynomial ring is a ring formed from the set of polynomials in one or more variables with coefficients in another ring. Polynomial rings have influenced much of mathematics, from the … Wikipedia
Monomial basis — In mathematics a monomial basis is a way to describe uniquely a polynomial using a linear combination of monomials. This description, the monomial form of a polynomial, is often used because of the simple structure of the monomial basis.… … Wikipedia
Symmetric polynomial — This article is about individual symmetric polynomials. For the ring of symmetric polynomials, see ring of symmetric functions. In mathematics, a symmetric polynomial is a polynomial P(X1, X2, …, Xn) in n variables, such that if any of the… … Wikipedia
Newton's identities — In mathematics, Newton s identities, also known as the Newton–Girard formulae, give relations between two types of symmetric polynomials, namely between power sums and elementary symmetric polynomials. Evaluated at the roots of a monic polynomial … Wikipedia
