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irreducible

Pronunciation: /ˌɪɹɪˈdjuːsɪbəl/

The English word “irreducible” has 10 meanings listed here.

adjective

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

noun

  1. Such a polynomial

Etymology

From ir- + reducible.

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