Without stopping; without a break, cessation, or interruption.
Expressing an ongoing action or state.
Not deviating or varying from uniformity; not interrupted; not joined or articulated.
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.
Without intervening space; continued.
Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function).
Happening quickly and with little or no warning.
Suddenly.