Continuous meaning : Without stopping; without a break, cessation, or interruption Without intervening space; continued Not deviating or varying from uniformity; not interrupted; not joined or articulated. (of a function) Such that, for every x in the domain, for each small open interval D about f(x), there's an interval containing x whose image is in D. (more generally, of a function between two topological spaces) Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function). (grammar) Expressing an ongoing action or state.