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.
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