Definition of IRREDUCIBLE

irreducible

Plural: irreducibles

Adjective

  • incapable of being made smaller or simpler
    • "an irreducible minimum"
    • "an irreducible formula"
    • "an irreducible hernia"

Adj

  • Not able to be reduced or lessened.
  • Not able to be brought to a simpler or reduced form.
  • Unable to be factorized into polynomials of lower degree, as (x² + 1).
  • Whose numerator and denominator share no common factor greater than 1.
  • Unable to be factored into smaller integers; prime.
  • Whose only divisors are units and associates.
  • Inexpressible as the union of two proper algebraic subvarieties.
  • Not containing a sphere of codimension 1 that is not the boundary of a ball.
  • Impossible to divide further into representations of lower dimension by means of any similarity transformation.

Noun

  • Such a polynomial

Origin / Etymology

From ir- + reducible.

Scrabble Score: 16

irreducible: valid Scrabble (US) TWL Word
irreducible: valid Scrabble Word in Merriam-Webster MW Dictionary
irreducible: valid Scrabble Word in International Collins CSW Dictionary

Words With Friends Score: 20

irreducible: valid Words With Friends Word