Definition of Irreducible. Meaning of Irreducible. Synonyms of Irreducible

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

Definition of Irreducible

Irreducible
Irreducible Ir`re*du"ci*ble, a. 1. Incapable of being reduced, or brought into a different state; incapable of restoration to its proper or normal condition; as, an irreducible hernia. 2. (Math.) Incapable of being reduced to a simpler form of expression; as, an irreducible formula. Irreducible case (Alg.), a particular case in the solution of a cubic equation, in which the formula commonly employed contains an imaginary quantity, and therefore fails in its application. -- Ir`re*du"ci*ble*ness, n. -- -- Ir`re*du"ci*bly, adv.

Meaning of Irreducible from wikipedia

- high-level system on its components; qualities produced this way are irreducible to the system's constituent parts. The whole is other than the sum of...
- In mathematics, an irreducible polynomial is, roughly speaking, a polynomial that cannot be factored into the product of two non-constant polynomials...
- specifically in the representation theory of groups and algebras, an irreducible representation ( ρ , V ) {\displaystyle (\rho ,V)} or irrep of an algebraic...
- In algebraic geometry, an irreducible algebraic set or irreducible variety is an algebraic set that cannot be written as the union of two proper algebraic...
- In algebra, an irreducible element of an integral domain is a non-zero element that is not invertible (that is, is not a unit), and is not the product...
- Irreducible complexity (IC) is the argument that certain biological systems with multiple interacting parts would not function if one of the parts were...
- An irreducible fraction (or fraction in lowest terms, simplest form or reduced fraction) is a fraction in which the numerator and denominator are integers...
- In mathematics, the concept of irreducibility is used in several ways. A polynomial over a field may be an irreducible polynomial if it cannot be factored...
- is said to be irreducible if it cannot be written as the intersection of two strictly larger ideals. Every prime ideal is irreducible. Let J {\displaystyle...
- factorization of a polynomial consists of decomposing it into a product of irreducible factors. This decomposition is theoretically possible and is unique for...