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
Instead of God, what directs the evolution of each Archie seems to be an irreducible kernel of identity.
Floc’h A succinct and comprehensive guide for living made up of irreducible bite-size wisdoms, exquisitely illustrated.
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.
These example sentences are selected automatically from various online news sources to reflect current usage of the word 'irreducible'. Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.
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
Seen and Heard
What made you want to look up irreducible? Please tell us where you read or heard it (including the quote, if possible).