Definition of Monomials. Meaning of Monomials. Synonyms of Monomials

Here you will find one or more explanations in English for the word Monomials. Also in the bottom left of the page several parts of wikipedia pages related to the word Monomials and, of course, Monomials synonyms and on the right images related to the word Monomials.

Definition of Monomials

Monomial
Monomial Mo*no"mi*al, a. (Alg.) Consisting of but a single term or expression.
Monomial
Monomial Mo*no"mi*al, n. [See Monome, Binomial.] (Alg.) A single algebraic expression; that is, an expression unconnected with any other by the sign of addition, substraction, equality, or inequality.

Meaning of Monomials from wikipedia

- series is a compact way to express the number of monomials of a given degree: the number of monomials of degree d {\displaystyle d} in n {\displaystyle...
- consists of all monomials. The monomials form a basis because every polynomial may be uniquely written as a finite linear combination of monomials (this is an...
- mathematics, a monomial order (sometimes called a term order or an admissible order) is a total order on the set of all (monic) monomials in a given polynomial...
- In abstract algebra, a monomial ideal is an ideal generated by monomials in a multivariate polynomial ring over a field. A toric ideal is an ideal generated...
- Young (1928) introduced monomials ****ociated to standard Young tableaux. Hodge (1943) (see also (Hodge & Pedoe 1994, p.378)) used Young's monomials, which he called...
- choice of a total order on the monomials, with the following properties of compatibility with multiplication. For all monomials M, N, P, M ≤ N ⟺ M P ≤ N P...
- H{\displaystyle H}. To define the monomial representation, we first need to introduce the notion of monomial space. A monomial space is a triple (V,X,(Vx)x∈X){\displaystyle...
- this can be abbreviated to X α. The monomial symmetric polynomial mα(X1, ..., Xn) is defined as the sum of all monomialswhere β ranges over all distinct...
- is a monomial. It is the simplest kind of a sp**** polynomial after the monomials. A binomial is a polynomial which is the sum of two monomials. A binomial...
- Infinite sum of monomials...