Meaning of continuous in English | Powered by Free Dictionary API

adjective

• Without stopping; without a break, cessation, or interruption

  Example: a continuous current of electricity

• Without intervening space; continued

  Example: a continuous line of railroad

• 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).

  Example: 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.