- of or relating to a polynomial that cannot be factored.
- of or relating to a group that cannot be written as the direct product of two of its subgroups.
Examples from the Web for irreducible
But essences appear precisely when all inventions are rescinded and the irreducible manifest datum is disclosed.Soliloquies in England|George Santayana
You know, to men like your father convictions are irreducible elements—they can't be split up, and differently combined.Tales Of Men And Ghosts|Edith Wharton
As to whether the electrons themselves, in their turn, are irreducible units, there may be room for doubt.Religion and Science|John Charlton Hardwick
I may say that we are coming to regard Mrs. Freere as a comparative reformation—as the irreducible minimum.Second String|Anthony Hope
There was one peculiarly stubborn and irreducible class of facts which he took up and gave much thought to during this period.The Letters of William James, Vol. 1|William James
British Dictionary definitions for irreducible
- (of a polynomial) unable to be factorized into polynomials of lower degree, as (x ² + 1)
- (of a radical) incapable of being reduced to a rational expression, as √(x + 1)