# Definition of Irreducible case. Meaning of Irreducible case. Synonyms of Irreducible case

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

## Definition of Irreducible case

Irreducible case
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 case from wikipedia

- In algebra, casus irreducibilis (Latin for "the irreducible case") is one of the cases that may arise in solving polynomials of degree 3 or higher with...
- In mathematics, an irreducible polynomial is, roughly speaking, a polynomial that cannot be factored into the product of two non-constant polynomials...
- In philosophy, a phenomenona is governed by the principle of irreducibility when a complete account of an entity is not possible at lower levels of explanation...
- solved in this case with the knowledge of Cardano's time. This case has thus been called casus irreducibilis, meaning irreducible case in Latin. In casus...
- 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 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****tionally irreducible. Com****tional irreducibility explains observed limitations of existing mainstream science. In cases of com****tional irreducibility, only...
- sum of irreducible representations: such representations are said to be semisimple. In this case, it suffices to understand only the irreducible representations...
- factorization of a polynomial consists of decomposing it into a product of irreducible factors. This decomposition is theoretically possible and is unique for...
- Irreducible complexity (IC) is the argument that certain biological systems cannot have evolved by successive small modifications to pre-existing functional...