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Irreducible

noun
/ˌɪɹɪˈdjuːsɪbəl/
Word Frequency: 1.3

Definitions

1.nounSuch a polynomial
2.adjectiveNot able to be reduced or lessened.
3.adjectiveNot able to be brought to a simpler or reduced form.
4.adjective(of a polynomial) Unable to be factorized into polynomials of lower degree, as (x2 + 1).
5.adjective(of a fraction) Whose numerator and denominator share no common factor greater than 1.
6.adjective(of an integer) Unable to be factored into smaller integers; prime.
7.adjective(of an element of a ring) that its only divisors are units and associates.
8.adjective(of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.
9.adjective(of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation.

Synonyms

inescapableintractablemust-seeunavoidablebasichardlineelementaryelementalindivisibleminimalfundamentalbasal

Antonyms

reducibleunincreasable
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