irreducible


Also found in: Dictionary, Thesaurus, Legal, Encyclopedia, Wikipedia.
Related to irreducible: Irreducible fraction, Irreducible polynomial

irreducible

 [ir″rĕ-doo´sĭ-b'l]
not susceptible to reduction, as a fracture, hernia, or chemical substance.

ir·re·duc·i·ble

(ir'rē-dū'si-bĕl, i-rē-),
1. Not reducible; incapable of being made smaller.
2. In chemistry, incapable of being made simpler, or of being replaced, hydrogenated, or reduced in positive charge.

irreducible

/ir·re·duc·i·ble/ (ir″ĭ-doo´sĭ-b'l) not susceptible to reduction, as a fracture, hernia, or chemical substance.

irreducible

[ir′əd(y)o̅o̅′sibəl]
Etymology: L, in, not, reducere, to bring back
unable to be returned to the normal position or condition, as an irreducible hernia. See also incarcerate.

ir·re·duc·i·ble

(ir'rĕ-dū'si-bĕl)
1. Not reducible; incapable of being made smaller.
2. chemistry Incapable of being made simpler, or of being replaced, hydrogenated, or reduced in positive charge.

irreducible

Incapable of being replaced or restored to a former state, as in the case of a HERNIA or a fracture. Irreversible.

irreducible

non-reducible, e.g. fixed deformity that cannot be actively or passively reduced

irreducible

not susceptible to reduction, as a fracture, hernia or chemical substance.
References in periodicals archive ?
There are two kinds of irreducible characters of [A.
If k = 1 then all the irreducible bridges are partially directed, and we exactly recover the weakly directed bridges of [1].
U,(m)], and hence also every primary irreducible character [[lambda].
We continue this process until we get the following result: every non-linear irreducible character of G has even degree, ie.
Given an irreducible matrix A = [aid] in C"'n > 2, one can similarly associate with A a minimal Brauer set, 1CI(A), as well as a minimal
The meaning of God is enacted in these multiple movements of love, but these movements are simply too multiple, too polyvalent, too irreducible, too uncontainable to identify, define or determine," Caputo writes.
The world for Berkeley is therefore qualitative rather than strictly quantitative, and irreducible to exactness:
Indeed, Rogers (1990) maintained, "My own work focuses on developing a holistic world view by proposing a science of unitary, irreducible beings that is coordinate with a world view that includes outer space.
It may well be the irreducible minimum that can be done if Congress is to take any action to demonstrate its support for domestic refining capacity additions.
The topics include projective space, parameter homotopies, the numerical irreducible decomposition, applications to algebraic geometry, and big polynomial systems arising from different equations.
Scientists and engineers, most from US military and corporate laboratories, examine such aspects of them as centralized cooperative optimization for systems coupled through the constraints, towards an irreducible theory of complex systems, and market-based adaptive task allocations for autonomous agents.