1. incapable of being made smaller or simpler
; - Example: "an irreducible minimum"- Example: "an irreducible formula"- Example: "an irreducible hernia"
The Collaborative International Dictionary of English v.0.48:
Irreducible \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.) 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.
WordNet (r) 3.0 (2006):
adj 1: incapable of being made smaller or simpler; "an
irreducible minimum"; "an irreducible formula"; "an
irreducible hernia" [ant: reducible]
Moby Thesaurus II by Grady Ward, 1.0:
90 Moby Thesaurus words for "irreducible":
a certain, an, any, any one, atomic, austere, bare, basic,
called for, chaste, deep-seated, either, elementary, esoteric,
essential, exclusive, fundamental, homely, homespun, homogeneous,
immanent, implanted, implicit, inalienable, indicated,
indispensable, individual, indivisible, indwelling, inextricable,
infixed, ingrained, inherent, inner, integral, internal, intrinsic,
inward, inwrought, irreductible, irreplaceable, lone, mere,
monadic, monistic, monolithic, necessary, needed, needful,
of a piece, one, plain, prerequisite, primal, primary, private,
pure, pure and simple, required, requisite, resident, secret,
severe, simon-pure, simple, single, singular, sole, solid,
solitary, spare, stark, subjective, unadorned, unalienable,
unanalyzable, unchallengeable, uncluttered, undifferenced,
undifferentiated, undivided, unforgoable, uniform, unique, unitary,
unquestionable, unsolvable, vital, wanted, whole