﻿ Definition of Monomial. Meaning of Monomial. Synonyms of Monomial

# Definition of Monomial. Meaning of Monomial. Synonyms of Monomial

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

## Definition of Monomial

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 Monomial from wikipedia

- mathematics, a monomial is, roughly speaking, a polynomial which has only one term. Two definitions of a monomial may be encountered: A monomial, also called...
- 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 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...
- 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...
- 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...
- depending on the evaluation of the basis functions at the data points). The monomial basis is given by { x n ∣ n ∈ N } . {\displaystyle \{x^{n}\mid n\in \mathbb...
- 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...
- sequence of monomials is finite. Although Gröbner basis theory does not depend on a particular choice of an admissible monomial ordering, three monomial orderings...
- 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...
- of finite groups, an M-group or monomial group is a finite group whose complex irreducible characters are all monomial, that is, induced from characters...