continuous

B1
US /kənˈtɪn.juː.əs/
adj Freq #11735

Meanings

  1. 1
    adj

    continuing in time or space without interruption

    a continuous rearrangement of electrons in the solar atoms results in the emission of light- James Jeans

  2. 2
    adj

    Without stopping; without a break, cessation, or interruption.

    a continuous current of electricity

  3. 3
    adj

    Without intervening space; continued.

    a continuous line of railroad

  4. 4
    adj

    Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function).

    Each continuous function from the real line to the rationals is constant, since the rationals are totally disconnected.

  5. 5
    adj

    of a function or curve

  6. 6
    adj

    Not deviating or varying from uniformity; not interrupted; not joined or articulated.

  7. 7
    adj

    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.

  8. 8
    adj

    Expressing an ongoing action or state.

Etymology

From Latin continuus, from contineō (“hold together”). Displaced native Old English singal.

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Thesaurus

Synonyms
1 adj · continuing in time or space... uninterrupted
2 adj · without stopping; without a... incessantnonstopongoingperpetual
3 adj · without intervening space;... connectedcontinuedextendedprotractedunbroken
5 adj · of a function or curve discontinuous
More amaranthineceaselessconstantcontinualcontinuatedreichendlesseternaleverlastingincessive
Opposites
brokendiscontinuousdiscreteendingintermittentinterruptednon-continuousnoncontinuousstopped
Word family
Derived forms bicontinuouscontinuous-brakedcontinuouslycontinuousnessequicontinuoushemicontinuouspseudocontinuousquasicontinuousscott-continuoussemicontinuoussubcontinuousuncontinuous
Related forms constantcontaincontiguouscontinuedcontinuitycontinuum

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