irreducible

Definition from Wiktionary, a free dictionary

Contents 1 English 1.1 Pronunciation 1.2 Adjective 1.2.1 Antonyms 1.2.2 Derived terms

[edit] English

[edit] Pronunciation

• IPA: /ˌɪrɪˈdjuːsɪbəl/

[edit] Adjective

irreducible (comparative more irreducible, superlative most irreducible)

1. Not able to be reduced or lessened.
2. Not able to be brought to a simpler or reduced form.
3. (mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x^2 + 1).
4. (mathematics, of an integer) Unable to be factored into smaller integers; prime.
5. (topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.
6. (group theory, of a representation) impossible to divide further into representations of lower dimension by means of any similarity transformation

[edit] Antonyms

• (all senses): reducible

[edit] Derived terms

• irreducibility
• irrep