adjective

The definition of continuous is going on without being interrupted.

An example of continuous is a show that runs for 20 years.

## continuous

- 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 continuous

Classical Latin*continuus*: see continue

## continuous

adjective

- 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 continuous

From Latin*continuus*; see

**continue**.

*Related Forms:*

**con·tin′u·ous·ly**adverb

**con·tin′u·ous·ness**noun

## continuous

Adjective

(*not comparable*)

- 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.

Usage notes

*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.^{ }