irreducible

  1. Adjective.  Not able to be reduced or lessened.
  2. Adjective.  Not able to be brought to a simpler or reduced form.
  3. Adjective.  (mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as ''(x^2 + 1)''.
  4. Adjective.  (mathematics, of an integer) Unable to be factored into smaller integers; prime.
  5. Adjective.  (topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.
  6. Adjective.  (group theory, of a representation) impossible to divide further into representations of lower dimension by means of any similarity transformation.
  7. Noun.  (mathematics) Such a polynomial.

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This entry was last updated on RefTopia from its source on 3/20/2012.