Definition of irreducible
1 : impossible to transform into or restore to a desired or simpler condition an irreducible matrix; specifically : incapable of being factored into polynomials of lower degree with coefficients in some given field (such as the rational numbers) or integral domain (such as the integers) an irreducible equation
2 : impossible to make less or smaller an irreducible minimum
irreducibilityplay \ˌir-i-ˌdü-sə-ˈbi-lə-tē, -ˌdyü-\ noun
irreduciblyplay \ˌir-i-ˈdü-sə-blē, -ˈdyü-\ adverb
Examples of irreducible in a Sentence
They thought the world was made up of four irreducible elements: earth, air, fire, and water.
Recent Examples of irreducible from the Web
The zeros of the zeta function are closely tied to the distribution of the prime numbers — the irreducible integers out of which all others are constructed.
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First Known Use of irreducible
IRREDUCIBLE Defined for English Language Learners
Definition of irreducible for English Language Learners
: not able to be made smaller or simpler
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