Lexic.us

Definition of Irreducible

1. Adjective. Incapable of being made smaller or simpler. "An irreducible hernia"

Definition of Irreducible

1. a. Incapable of being reduced, or brought into a different state; incapable of restoration to its proper or normal condition; as, an irreducible hernia.

Definition of Irreducible

1. Adjective. Not able to be reduced or lessened. ¹

2. Adjective. Not able to be brought to a simpler or reduced form. ¹

3. Adjective. (mathematics of a polynomial) Unable to be factorized into polynomials of lower degree, as ''(x^2 + 1)''. ¹

4. Adjective. (mathematics of an integer) Unable to be factored into smaller integers; prime. ¹

5. Adjective. (topology of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball. ¹

6. Adjective. (group theory of a representation) impossible to divide further into representations of lower dimension by means of any similarity transformation ¹

7. Noun. (mathematics) Such a polynomial ¹

¹ Source: wiktionary.com

Definition of Irreducible

1. [adj]

Medical Definition of Irreducible

1. 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. Incapable of being reduced to a simpler form of expression; as, an irreducible formula. Irreducible case, 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. Irredu"cibleness, Irredu"cibly. Source: Websters Dictionary (01 Mar 1998)

Lexicographical Neighbors of Irreducible

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