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What is the difference between continuity and continuous?

continuity | continuous |

Continuous is a related term of continuity.



As a noun continuity

is lack of interruption or disconnection; the quality of being continuous in space or time.

As an adjective continuous is

without break, cessation, or interruption; without intervening time.

continuity

English

Noun

  • Lack of interruption or disconnection; the quality of being continuous in space or time.
  • Considerable continuity of attention is needed to read German philosophy.
  • (uncountable, mathematics) A characteristic property of a continuous function.
  • *
  • A narrative device in episodic fiction where previous and/or future events in a story series are accounted for in present stories.
  • * {{quote-news
  • , year=2012 , date=April 29 , author=Nathan Rabin , title=TV: Review: THE SIMPSONS (CLASSIC): “Treehouse of Horror III” (season 4, episode 5; originally aired 10/29/1992) citation , page= , passage=In “Treehouse Of Horror” episodes, the rules aren’t just different—they don’t even exist. If writers want Homer to kill Flanders or for a segment to end with a marriage between a woman and a giant ape, they can do so without worrying about continuity or consistency or fans griping that the gang is behaving out of character.}}

    Antonyms

    * discontinuity

    Derived terms

    * discontinuity * sequential continuity * uniform continuity

    continuous

    English

    Adjective

    (-)
  • Without break, cessation, or interruption; without intervening time.
  • a continuous current of electricity
  • * 1847 , , Ticknor and Fields (1854), page 90:
  • he can hear its continuous murmur
  • 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

    *

    Synonyms

    * (without break, cessation, or interruption in time''): constant, continual (''but see usage notes above ), incessant, never-ending, ongoing, unbroken, unceasing, unending, uninterrupted * (without break, cessation, or interruption in space ): connected, unbroken * See also

    Antonyms

    * (without break, cessation, or interruption in time ): broken, discontinuous, discrete, intermittent, interrupted * (without break, cessation, or interruption in space ): broken, disconnected, disjoint, unbroken * (in mathematical analysis ): discontinuous, stepwise

    Derived terms

    * continuous brake * continuous impost * continuously * continuousness (in mathematics) * continuous distribution * continuous function * continuous group * continuous line illusion * continuous map * continuous mapping theorem * continuous space * continuous vector bundle * continuously differentiable function * uniformly continuous

    See also

    * constant * contiguous

    References