| Definitions | | continuous |
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adjective
- Without break, cessation, or interruption; without intervene, intervening time.
- a continuous current of electricity
- (rfdate) He can hear its murmur. - Longfellow.
- Without intervening space; continued; protracted; extended.
- a continuous line of railroad
- (botany) Not deviate, deviating or varying from uniformity; not interrupted; not joined or articulated.
- (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>.
- (grammar) Expressing an ongoing action or state.
Translations: - Dutch: continu(nl)
- French: continu(fr)
- German: kontinuierlich, stetig
- Italian: continuo(it)
Etymology: From continuus, from continere, "to hold together".
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