Definition of Irreducibleness. Meaning of Irreducibleness. Synonyms of Irreducibleness

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

Definition of Irreducibleness

Irreducibleness
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 Irreducibleness from wikipedia

- Irreducible complexity (IC) is the argument that certain biological systems cannot have evolved by successive small modifications to pre-existing functional...
- 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...
- 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...
- be irreducible if it is not a product of two non-units, or equivalently, if every factoring of such element contains at least one unit. Irreducible elements...
- 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...
- 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...
- Irreducible Mind: Toward a Psychology for the 21st Century is a 2007 psychological 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...