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What does continuous mean?

Looking for the meaning or definition of the word continuous? Here's what it means.

Adjective
  1. Without break, cessation, or interruption; without intervening time.
  2. Without intervening space; continued; protracted; extended.
  3. (botany) Not deviating or varying from uniformity; not interrupted; not joined or articulated.
  4. (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.
  5. (mathematics) Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function).
  6. (grammar) Expressing an ongoing action or state.
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