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continuous

Definition from Dictionary, a free dictionary
It is vanity to desire a long life and to take no heed of a good life.
Thomas γ Kempis
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English

Etymology

From [[w:Template:lang:la language|Template:lang:la]][[Category:Template:lang:la derivations]] continuus, from continere, ‘to hold together’.

Pronunciation

Adjective

continuous (not comparable)

Positive
continuous

Comparative
not comparable

Superlative
none (absolute)

  1. Without break, cessation, or interruption; without intervening time.
    • a continuous current of electricity
    • (A date for this quote is being sought): He can hear its continuous murmur. - Longfellow.
  2. Without intervening space; continued; protracted; extended.
    • a continuous line of railroad
  3. (botany) Not deviating or varying from uniformity; not interrupted; not joined or articulated.
  4. (analysis) Of a map, having the mathematical property that has the following formal <math>\epsilon</math>-<math>\delta</math>-definition: Given <math>I,D\subset\mathbb{R}</math> (I and D are subsets of the real numbers), continuity of <math>f(x):I \to D</math> (<math>f(x)</math> maps the interval I to the interval D) at <math>c\in\mathbb{R}</math> means, for all <math>\varepsilon>0</math>, there exists a <math>\delta>0</math> such that <math>|x-c|<\delta</math> and <math>x\in I</math> implies <math>|f(x)-f(c)|<\varepsilon</math>.
  5. (grammar) Expressing an ongoing action or state.

Usage notes

  • Continuous is the stronger word, and denotes that the continuity or union of parts is absolute and uninterrupted; as, a continuous sheet of ice; a continuous flow of water or of argument. So Daniel Webster speaks of "a continuous and unbroken strain of the martial airs of England."
  • Continual, in most cases, marks a close and unbroken succession of things, rather than absolute continuity. Thus we speak of continual showers, implying a repetition with occasional interruptions; we speak of a person as liable to continual calls, or as subject to continual applications for aid, etc.

Synonyms

Antonyms

Derived terms

In mathematics

Translations

See also

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