irreducible

Etymology

Definitions

1. 1

   Not able to be reduced or lessened.

   • With each reduction in the number of railways, there must come, eventually, a decline in interest, if only through reduction in variety; and when it comes to one nationalised railway only we have reached the irreducible minimum.
2. 2

   Not able to be brought to a simpler or reduced form.

3. 3

   Unable to be factorized into polynomials of lower degree, as (x² + 1).

4. ›+ 7 more definitionsshow fewer

   1. 4

      Whose numerator and denominator share no common factor greater than 1.

   2. 5

      Unable to be factored into smaller integers

      Unable to be factored into smaller integers; prime.

   3. 6

      Whose only divisors are units and associates.

   4. 7

      Inexpressible as the union of two proper algebraic subvarieties.

   5. 8

      Not containing a sphere of codimension 1 that is not the boundary of a ball.

   6. 9

      Impossible to divide further into representations of lower dimension by means of any…

      Impossible to divide further into representations of lower dimension by means of any similarity transformation.

   7. 10

      Such a polynomial

The neighborhood

• antonymreducible