# 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 Irre*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. -- Irre*du"ci*ble*ness, n. -- -- Ir`re*du"ci*bly, adv.

## Meaning of Irreducible from wikipedia

- In mathematics, an irreducible polynomial (or prime polynomial) is, roughly speaking, a non-constant polynomial that cannot be factored into the product...
- The principle of Irreducibility, in philosophy, has the sense that a complete account of an entity will not be possible at lower levels of explanation...
- 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...
- Com****tional irreducibility is one of the main ideas proposed by Stephen Wolfram in his book A New Kind of Science. Wolfram terms the inability to shortcut...
- Irreducible complexity (IC) is the argument that certain biological systems cannot have evolved by successive small modifications to pre-existing functional...
- element in an integral domain is said to be irreducible if it is not a product of two non-units. Irreducible elements should not be confused with prime...
- Arthur Cohn's irreducibility criterion is a sufficient condition for a polynomial to be irreducible in Z [ x ] {\displaystyle \mathbb {Z} [x]} —that is...
- specifically in the representation theory of groups and algebras, an irreducible representation ( ρ , V ) {\displaystyle (\rho ,V)} or irrep of an algebraic...
- Irreducible Mind: Toward a Psychology for the 21st Century is a 2007 parapsychological book by Edward Francis Kelly, Emily Williams Kelly, Adam Crabtree...
- especially in the field of ring theory, the term irreducible ring is used in a few different ways. A (meet-)irreducible ring is one in which the intersection of...