irreducible
(adjective) incapable of being made smaller or simpler; “an irreducible minimum”; “an irreducible formula”; “an irreducible hernia”
Source: WordNet® 3.1
irreducible (comparative more irreducible, superlative most irreducible)
Not able to be reduced or lessened.
Antonym: unincreasable
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) that its only divisors are units and associates.
(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.
• reducible
irreducible (plural irreducibles)
(mathematics) Such a polynomial
Source: Wiktionary
Ir`re*du"ci*ble, a.
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. (Math.)
Definition: Incapable of being reduced to a simpler form of expression; as, an irreducible formula. Irreducible case (Alg.), 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.
– Ir`re*du"ci*ble*ness, n.
– -- Ir`re*du"ci*bly, adv.
Source: Webster’s Unabridged Dictionary 1913 Edition
26 November 2024
(noun) (music) playing in a different key from the key intended; moving the pitch of a piece of music upwards or downwards
According to Guinness World Records, the most massive cup of coffee contained 22,739.14 liters and was created by AlcaldĂa Municipal de Chinchiná (Colombia) at Parque de BolĂvar, Chinchiná, Caldas, Colombia, on 15 June 2019. Fifty people worked for more than a month to build this giant cup. The drink prepared was Arabic coffee.
