Continuous meaning

kən-tĭn'yo͝o-əs
Uninterrupted in time, sequence, substance, or extent.
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Attached together in repeated units.

A continuous form fed into a printer.

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Going on or extending without interruption or break; unbroken; connected.
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Designating a function whose value at each point is closely approached by its values at neighboring points.
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Relating to a line or curve that extends without a break or irregularity.
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A function in which changes, however small, to any x- value result in small changes to the corresponding y- value, without sudden jumps. Technically, a function is continuous at the point c if it meets the following condition: for any positive number Ɛ, however small, there exists a positive number ẟ such that for all x within the distance ẟ from c , the value of f ( x ) will be within the distance Ɛ from f ( c ). Polynomials, exponential functions, and trigonometric functions are examples of continuous functions.
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Without break, cessation, or interruption; without intervening time.

A continuous current of electricity.

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Without intervening space; continued; protracted; extended.

A continuous line of railroad.

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

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(grammar) Expressing an ongoing action or state.
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The definition of continuous is going on without being interrupted.

An example of continuous is a show that runs for 20 years.

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Of or relating to a line or curve that extends without a break or irregularity.
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Of or relating to a function between two topological spaces such that the preimage of any open set in the range is an open set in the domain.
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Origin of continuous

Either via French or directly, from Latin continuus.