continuous

Meaning

Adjective

  • Without stopping; without a break, cessation, or interruption.
  • Without intervening space; continued.
  • 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 target space has an open preimage (in the domain space, with respect to the given function).
  • Expressing an ongoing action or state.

Related

Opposite words

Origin

  • From Latin continuus, from contineĊ. Displaced native .

Modern English dictionary

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