Irreducible vs Ergodic - What's the difference?
irreducible | ergodic |
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 (x^2 + 1) .
(mathematics, of an integer) Unable to be factored into smaller integers; prime.
(topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.
(group theory, of a representation) impossible to divide further into representations of lower dimension by means of any similarity transformation
(mathematics, physics) Of or relating to certain systems that, given enough time, will eventually return to previously experienced state.
(statistics, engineering) Of or relating to a process in which every sequence or sample of sufficient size is equally representative of the whole.