discontinuous
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discontinuous
adj.
not continuous, lacking sequence, discrete, intermittent
Classification of discontinuities
Continuous functions are of utmost importance in
mathematics, functions and applications. However, not all
functions are continuous. If a function is not continuous at a point in its
domain, one says that it has a
discontinuity there. The set of all points of discontinuity of a function may be a
discrete set, a
dense set, or even the entire domain of the function. This article describes the
classification of discontinuities in the simplest case of functions of a single
real variable taking real values.
discontinuous
Adjective
1. of a function or curve; possessing one or more discontinuities
(antonym) continuous
(classification) mathematics, math, maths
2. not continuing without interruption in time or space; "discontinuous applause"; "the landscape was a discontinuous mosaic of fields and forest areas"; "he received a somewhat haphazard and discontinuous schooling"
(synonym) noncontinuous
(antonym) continuous, uninterrupted
(similar) disjunct
(see-also) sporadic
Discontinuous
(a.)
Not continuous; interrupted; broken off.
(a.)
Exhibiting a dissolution of continuity; gaping.
Webster's Revised Unabridged Dictionary (1913), edited by Noah Porter.
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