irreducible
English
Pronunciation
- IPA(key): /ˌɪɹɪˈdjuːsɪbəl/
Adjective
irreducible (comparative more irreducible, superlative most irreducible)
- Not able to be reduced or lessened.
- Not able to be brought to a simpler or reduced form.
- (mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x2 + 1).
- (mathematics, of an integer) Unable to be factored into smaller integers; prime.
- (topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.
- (group theory, of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation.
Antonyms
- reducible
- (unable to be reduced): unincreasable
Derived terms
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