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continuous

From Wiktionary, the free dictionary

English

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EnglishWikipedia has an article on:
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Etymology

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FromLatincontinuus, fromcontineō(“hold together”). Displaced nativeOld Englishsingal.

Pronunciation

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  • enPR:kən-tĭnʹyo͞o-əs,IPA(key): /kənˈtɪn.juː.əs/,/-(j)ɪu̯.əs/
  • Audio(US):(file)

Adjective

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continuous (notcomparable)

  1. Without stopping; without abreak,cessation, orinterruption.
    Synonyms:perpetual,nonstop,incessant,ongoing;see alsoThesaurus:continuous
    Antonyms:broken,discontinuous,discrete,intermittent,interrupted
    acontinuous current of electricity
  2. Without intervening space;continued.
    Synonyms:protracted,extended,connected,continued,unbroken
    Antonyms:broken,disconnected,disjoint
    acontinuous line of railroad
    • 1958 January, 'Borderer', “Ten Years of British Railways”, inRailway Magazine, page15:
      […] the Plan incorporates in proper combination every available modern technique, including extensive electrification on the new standard high-voltage a.c. system at a frequency of 50 cycles; main-line diesel traction as a half-way house to electrification; lightweight diesel trains for secondary and branch services; and a smaller wagon fleet doing more work by the use ofcontinuous brakes in conjunction with modernised terminals and marshalling yards.
    • 2023 November 29, Philip Haigh, “New Piccadilly Line trains put to the test”, inRAIL, number997, page26:
      The dynamic tests at Wildenrath usecontinuous test tracks built on the site of a former Royal Air Force station that was vacated after the end of the Cold War.
  3. (botany) Notdeviating orvarying fromuniformity; not interrupted; not joined or articulated.
  4. (mathematical analysis, of afunction) Such that, for everyx in thedomain, for each smallopenintervalD aboutf(x), there's an interval containingx whoseimage is inD.
  5. (mathematics, more generally, of a function between twotopological spaces) Such that eachopen set in the target space has an openpreimage (in the domain space, with respect to the given function).
    Eachcontinuous function from the real line to the rationals is constant, since the rationals are totally disconnected.
  6. (grammar) Expressing an ongoing action or state.

Usage notes

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  • Continuous is stronger thancontinual. It denotes that the continuity or union of parts is absolute and uninterrupted, as in acontinuous sheet of ice, or acontinuous flow of water or of argument. So Daniel Webster speaks of "acontinuous and unbroken strain of the martial airs of England." By contrast,continual usually marks a close and unbroken succession of things, rather than absolute continuity. Thus we speak ofcontinual showers, implying a repetition with occasional interruptions; we speak of a person as liable tocontinual calls, or as subject tocontinual applications for aid.[1]

Antonyms

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Derived terms

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in mathematics

Related terms

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Translations

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without break, cessation, or interruption in time
without break, cessation, or interruption in space
in botany
in mathematical analysis
in grammar

See also

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References

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  1. ^Paul Brians (2009), “continual”, inCommon Errors in English Usage, 2nd edition, Wilsonville, Or.: William, James & Company,→ISBN.
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