continuous (not comparable)
- Without stopping; without a break, cessation, or interruption.
- Synonyms: perpetual, nonstop, incessant, ongoing; see also Thesaurus:continuous
- Antonyms: broken, discontinuous, discrete, intermittent, interrupted
- a continuous current of electricity
- Without intervening space; continued.
- (botany) Not deviating or varying from uniformity; not interrupted; not joined or articulated.
- (mathematical analysis, 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.
- (mathematics, 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).
- Each continuous function from the real line to the rationals is constant, since the rationals are totally disconnected.
- (grammar) Expressing an ongoing action or state.
- Continuous is stronger than continual. It denotes that the continuity or union of parts is absolute and uninterrupted, as in a continuous sheet of ice, or a continuous flow of water or of argument. So Daniel Webster speaks of "a continuous and unbroken strain of the martial airs of England." By contrast, continual usually marks a close and unbroken succession of things, rather than absolute continuity. Thus we speak of continual showers, implying a repetition with occasional interruptions; we speak of a person as liable to continual calls, or as subject to continual applications for aid.
without break, cessation, or interruption in time
without break, cessation, or interruption in space
in mathematical analysis