# closed interval

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## closed interval

n.
A set of numbers consisting of all the numbers between a pair of given numbers and including the endpoints.

## closed interval

n
(Mathematics) maths an interval on the real line including its end points, as [0, 1], the set of reals between and including 0 and 1
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 closed interval - an interval that includes its endpointsbounded intervalinterval - a set containing all points (or all real numbers) between two given endpointsopen interval, unbounded interval - an interval that does not include its endpoints
References in periodicals archive ?
In the final section of the paper, we assert the notion of multiplicative Lipschitz condition on the closed interval [x, y] [subset] (0, m).
Tenders are invited for Carrying out Direct Current Voltage Gradient(DCVG) Survey & Closed Interval Potential Survey(CIPS) along the Chennai-Bangalore Petroleum product Pipeline and rectification of identified pipeline coating defects.
A set consisting of a closed interval of real numbers such that a [less than or equal to] x [less than or equal to] b is called an interval number.
x] touching K in the point p is homeomorphic to a closed interval, which may be reduced to a point.
Let us denote the set of all real valued closed interval by I, the set of positive integers by N, and the set of all real numbers by R.
As always in posets, the closed interval [[sigma], [tau]] in P is the set {[pi] | [sigma] [less than or equal to] [pi] [less than or equal to] [tau]}, and the open interval ([sigma], [tau]) (the interior of [[sigma], [tau]]) is the set {[pi] | [sigma] < [pi] < [tau]}, where "<" and "[less than or equal to]" have the usual meaning.
Hence the closed interval A represents an uncertain number x [member of] [[a.
About fuzzy theory, Zadeh (1965) firstly proposed the theory of Fuzzy Sets, The core idea is to extend membership function to any value in the closed interval [0,1].
Let's consider the closed interval [a, b], which is a part of wider interval [A, B] (Fig.
The said polynomial is self-integrating in the closed interval [0,1].
Assume that x denotes an uncertain parameter in the structural reliability problem, and it varies within a closed interval [x.
It is easy to see that if f' is bounded in a closed interval and satisfying 11, then f is Riemann integrable.

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