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 mathematics, an irreducible polynomial is, roughly speaking, a polynomial that cannot be factored into the product of two non-constant polynomials...
- In algebra, casus irreducibilis (from Latin 'the irreducible case') is one of the cases that may arise in solving polynomials of degree 3 or higher with...
- integer coefficients that are irreducible over the rational numbers, but it does allow in certain important cases for irreducibility to be proved with very little...
- An irreducible fraction (or fraction in lowest terms, simplest form or reduced fraction) is a fraction in which the numerator and denominator are integers...
- 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...
- 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...
- 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[citation needed]. Com****tional irreducibility explains observed limitations of existing mainstream science. In cases of com****tional...
- the rational root test, if the cubic is irreducible; this is the so-called casus irreducibilis ("irreducible case"). This conundrum led Italian mathematician...
- factorization of a polynomial consists of decomposing it into a product of irreducible factors. This decomposition is theoretically possible and is unique for...