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 (as the rational numbers) or integral domain (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.
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).