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 (ĭr′ĭ-do͞o′sə-bəl, -dyo͞o′-)
Impossible to reduce to a desired, simpler, or smaller form or amount: irreducible burdens.

ir′re·duc′i·bil′i·ty, ir′re·duc′i·ble·ness n.
ir′re·duc′i·bly adv.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
References in periodicals archive ?
From initial doubts, Pirandello overcomes his conviction on the irreducibility of the text into stage thanks to the incessant ekphrastic effort in which he engages.
Clinical Feature of Ventral Hernia Small large Recurrent Feature Ventral Ventral ventral hernia Hernia Hernia Swelling 72 (100%) 30 (100%) 18 (100%) Pain 21 (15%) 21 (70%) 13 (70%) Irreducibility 7 (10%) 14 (66%) 12(67%) Irreducibility 3 (2%) 2(7%) 2 (7%) and obstruction Table 3.
The Ismagilov conjecture along with the Dixmier commutation theorem and the Schur-Weyl duality allows the formulation and verification of a reasonable irreducibility hypothesis for all considered cases.
The irreducibility of the aesthetic domain is due to the fact that aesthetic judgment is a sensory-affective disclosure of, and responsiveness to, merit: it is a feeling that presents an object, and is responsive to it, as worthy of being liked.
In Section 3, we determine a condition for the irreducibility of f(a, x) for specific values of a in Q.
[7] have introduced the concept of irreducibility of L(2,1)-coloring.
5) The significance of Hulsmann's proposal is that it grounds the existence of economic laws precisely on the metaphysical irreducibility of free choice with alternative possibilities, instead of trying to mitigate its implications:
Contrary to Lefort, Daly argues that asymmetry "guarantee[s] the irreducibility of the Other," because selves and objects just do exhibit "contingency and opacity" (145, emphasis mine), and "are constantly changing" (144).
By contrast, Stengers reads thermodynamics as a way of thinking about the irreducibility of physical systems to these principles.
--Computational irreducibility: 'Our interactions are so profound that there is no mathematical shortcut for determining how they will evolve.
We deduce the irreducibility of [pi], and give an alternative proof of this well known result (see [FTP82, Theorem 5]).