irreducible


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Related to irreducible: Irreducible fraction, Irreducible polynomial

ir·re·duc·i·ble

 (ĭr′ĭ-do͞o′sə-bəl, -dyo͞o′-)
adj.
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.

irreducible

(ˌɪrɪˈdjuːsɪbəl)
adj
1. not able to be reduced or lessened
2. not able to be brought to a simpler or reduced form
3. (Mathematics) maths
a. (of a polynomial) unable to be factorized into polynomials of lower degree, as (x2 + 1)
b. (of a radical) incapable of being reduced to a rational expression, as √(x + 1)
ˌirreˌduciˈbility, ˌirreˈducibleness n
ˌirreˈducibly adv

ir•re•duc•i•ble

(ˌɪr ɪˈdu sə bəl, -ˈdyu-)

adj.
1. not reducible; incapable of being reduced, diminished, or further simplified.
2. incapable of being brought into a different condition or form.
[1625–35]
ir`re•duc`i•bil′i•ty, ir`re•duc′i•ble•ness, n.
ir`re•duc′i•bly, adv.

irreducible

Incapable of being restored to a former condition or position.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adj.1.irreducible - incapable of being made smaller or simpler; "an irreducible minimum"; "an irreducible formula"; "an irreducible hernia"
reducible - capable of being reduced; "reducible to a set of principles of human nature"- Edmund Wilson
Translations

irreducible

[ˌɪrɪˈdjuːsəbl] ADJirreducible

irreducible

[ˌɪrɪˈdjuːsɪbəl] adjirréductible
the irreducible complexity of human life → l'irréductible complexité de la vie

irreducible

adj (Chem, Math) → nicht reduzierbar; the irreducible minimumdas Allermindeste

ir·re·duc·i·ble

a. irreducible, que no puede reducirse.
References in classic literature ?
remained the one irreducible defense against despair?
The view here expressed, that relation to an object is an ultimate irreducible characteristic of mental phenomena, is one which I shall be concerned to combat.
But the adverse chances had been weeded out and weeded out to the irreducible minimum of risk.
What they do not accept is that the minimum, irreducible and accepted information they need to formulate a bid has been refused to them.
Surety provisional amounts to 47 100 EUR irreducible, with features that will be indicated in the invitation letter.
For the survivors, the memories of the night of December 2, 1984, when they woke up to a deadly gas leaking from the Union Carbide pesticide plant that killed more than 16,000 people and forever impaired over 500,000, are irreducible.
Mann notes that this lowered amount would still allow the nation to meet its irreducible needs for the most scarce skills, critical entrepreneurs and investors, and essential humanitarian relief.
The pieces are as follows: Fine and Course Moduli Spaces in the Representation Theory of Finite Dimensional Algebras, More Representations of Wild Quivers, Phantom Morphisms and Salce's Lemma, Morita Theory Revisited, Uniform Deformation Rings of Group Representations, with an Application of Brauer's Generalized Decomposition Numbers, Derived Representation Schemes and Noncommutative Geometry, Classifying Torsion Pairs for Tame Hereditary Algebras and Tubes, Problems Solved by Using Degrees of Irreducible Morphisms, and Arc Diagram Varieties.
Eucalan's complaints are mainly about his irreducible life sentence and his detention conditions.
of an irreducible character of Sn in the tensor product of two others.
This essay is essential reading, as it is the best defense of the traditional reading of Aristotle as positing irreducible biological natures.
Complications in hernia can make contents become irreducible and later lead to pain and abdominal distension.