## CONTINUOUS

### continuous

#### Adjective

- Without break, cessation, or interruption; without intervening time.
*a***continuous**current of electricity

- Without intervening space; continued; protracted; extended.
*a***continuous**line of railroad

- 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*. - 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.

- Expressing an ongoing action or state.

*The above text is a snippet from Wiktionary: continuous*

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and as such is available under the Creative Commons Attribution/Share-Alike License.