irreducible


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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.
This first of two volumes covers basic concepts, characters, arithematical properties of characters, products of characters, induced characters and representations, projective representations, Clifford theory, Brauer's induction theorems, faithful characters, the existence of normal subgroups, and sums of degrees of irreducible characters.
Let [PI] and [PI]' be irreducible admissible infinite-dimensional representations of GL(2,F).
The constant bulk volume of water shows irreducible or nearly irreducible water saturation, inferring that the reservoir will produce water-free hydrocarbon.
Irreducible indirect inguinal hernia containing uterus and bilateral adnexa in a premature female infant: report of an exceptional case and review of the literature.
The new scheme encompasses all Parliaments' irreducible carbon emissions, including those from flights between MEPs countries of origin and Brussels and Strasbourg.
The action of A is irreducible if every non-zero x [member of] X is cyclic for A.
The Senate rest language does not match the bipartisan language in the House AIRR Act that requires irreducible 10 hours minimum rest between duty periods for Flight Attendants.
We explore the classical pattern avoidance question in the case of irreducible permutations, i.
The case presented here illustrates an instance of an irreducible patella dislocation in a patient sustaining an osteochondral and medial avulsion fracture.