n. The fact or quality of being discontinuous; want of continuity or uninterrupted connection; disunion of parts; want of cohesion. See continuity.n. In mathematics, that character of a change which consists in a passage from one point, state, or value to another without passing through a continuously infinite series of intermediate points (see infinite); that character of a function which consists in an infinitesimal change of the variables not being everywhere accompanied by an infinitesimal change (including no change) of the function itself.