irreducible

adjective ir·re·duc·ible \ ˌir-i-ˈdü-sə-bəl , -ˈdyü- \

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

irreducibility

play \ˌir-i-ˌdü-sə-ˈbi-lə-tē, -ˌdyü-\ noun

irreducibly

play \ˌir-i-ˈdü-sə-blē, -ˈdyü-\ adverb

Examples of irreducible in a Sentence

  1. They thought the world was made up of four irreducible elements: earth, air, fire, and water.

Recent Examples of irreducible from the Web

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

1633


IRREDUCIBLE Defined for English Language Learners

irreducible

adjective

Definition of irreducible for English Language Learners

  • : not able to be made smaller or simpler


Medical Dictionary

irreducible

adjective ir·re·duc·ible \ ˌir-i-ˈd(y)ü-sə-bəl \

medical Definition of irreducible

: impossible to bring into a desired or normal state
  • an irreducible hernia

irreducibility

play \-ˌd(y)ü-sə-ˈbil-ət-ē\ noun plural -ties


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