continuous[kən tin′yo̵̅o̅ əs]
- The definition of continuous is going on without being interrupted.
An example of continuous is a show that runs for 20 years.
- going on or extending without interruption or break; unbroken; connected
- Math. designating a function whose value at each point is closely approached by its values at neighboring points
Origin of continuousClassical Latin continuus: see continue
- Uninterrupted in time, sequence, substance, or extent. See Synonyms at continual.
- Attached together in repeated units: a continuous form fed into a printer.
- Mathematics a. Of or relating to a line or curve that extends without a break or irregularity.b. Of or relating to a function between two topological spaces such that the preimage of any open set in the range is an open set in the domain.
Origin of continuousFrom Latin continuus; see continue.
- Without break, cessation, or interruption; without intervening time.
- a continuous current of electricity
- Without intervening space; continued; protracted; extended.
- a continuous line of railroad
- (botany) Not deviating or varying from uniformity; not interrupted; not joined or articulated.
- (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) Such that each open set in the range has an open preimage.
- 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.