English Dictionary

irreducible

/ˌɪɹɪˈdjuːsɪbəl/

adj

Not able to be reduced or lessened. / Not able to be brought to a simpler or reduced form. / (mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x² + 1).

The complexity of this problem is irreducible.

意味（1）

Not able to be reduced or lessened.

意味（2）

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

意味（3）

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

意味（4）

(number theory, of a fraction) Whose numerator and denominator share no common factor greater than 1.

意味（5）

(number theory, of an integer) Unable to be factored into smaller integers; prime.

意味（6）

(algebra, of an element of a ring) that its only divisors are units and associates.

意味（7）

(topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.

意味（8）

(group theory, of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation.