irreducible
English
Pronunciation
- IPA(key): /ˌɪɹɪˈdjuːsɪbəl/
Adjective
irreducible (comparative more irreducible, superlative most irreducible)
- Not able to be reduced or lessened.
- Antonym: unincreasable
- 1948 January and February, Cecil J. Allen, “British Locomotive Practice and Performance”, in Railway Magazine, page 48:
- With each reduction in the number of railways, there must come, eventually, a decline in interest, if only through reduction in variety; and when it comes to one nationalised railway only we have reached the irreducible minimum.
- 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).
- (number theory, of a fraction) Whose numerator and denominator share no common factor greater than 1.
- (number theory, of an integer) Unable to be factored into smaller integers; prime.
- (algebra, of an element of a ring) Whose only divisors are units and associates.
- (algebraic geometry, of an algebraic variety) Inexpressible as the union of two proper algebraic subvarieties.
- (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
Translations
not able to be reduced or lessened
|
(mathematics, of an integer) unable to be factored into smaller integers
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Spanish
Pronunciation
- IPA(key): (Spain) /ireduˈθible/ [i.re.ð̞uˈθi.β̞le]
- IPA(key): (Latin America) /ireduˈsible/ [i.re.ð̞uˈsi.β̞le]
- Rhymes: -ible
- Syllabification: i‧rre‧du‧ci‧ble
Further reading
- “irreducible”, in Diccionario de la lengua española, Vigésima tercera edición, Real Academia Española, 2014
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