# 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 in n variables is the coefficient of...
- set 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...
- Infinite sum of monomials...
- x_{1}^{a_{1}}\cdots x_{n}^{a_{n}}=X^{A}} . Monomials are uniquely defined by their exponent vectors so computers can represent monomials efficiently as exponent vectors...
- 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...
- which is a monomial. It is the simplest kind of polynomial after the monomials. A binomial is a polynomial which is the sum of two monomials. A binomial...
- requires the choice of a monomial order, that is a total order, which is compatible with the monoid structure of the monomials. Here "compatible" means...
- In mathematics, a linear representation ρ of a group G is a monomial representation if there is a finite-index subgroup H and a one-dimensional linear...
- largest sum of exponents (for a multivariate polynomial) in any of its monomials; the multiplicative order, that is, the number of times the polynomial...