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

- shifted monomials or centered monomials, where c {\displaystyle c} is the center or − c {\displaystyle -c} is the shift. Since the word "monomial", as well...
- 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...
- 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...
- monomial group is solvable. Every supersolvable group and every solvable A-group is a monomial group. Factor groups of monomial groups are monomial,...
- {\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 , (...
- In commutative algebra, a field of mathematics, the monomial conjecture of Melvin Hochster says the following: Let A be a Noetherian local ring of Krull...