closed interval

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

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

closed interval

(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

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Noun

closed interval - an interval that includes its endpoints

bounded interval

interval - a set containing all points (or all real numbers) between two given endpoints

open interval, unbounded interval - an interval that does not include its endpoints

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References in periodicals archive

Let [GAMMA] = {[E.sub.1], [E.sub.2], ..., [E.sub.N]} be a [DELTA]-partition of compact set E satisfying the relations (4.7)-(4.9), [LAMBDA] = {0 = [w.sub.0], [w.sub.1], ..., [w.sub.a] = H} (a [less than or equal to] 1) be a uniform partition of the closed interval [0, H], where [w.sub.j] = j/a H and [delta] = H/a is the diameter of the partition [LAMBDA].

Approximation of the Set of Trajectories of the Nonlinear Control System with Limited Control Resources

If [??], [??] are two soft real numbers with [mathematical expression not reproducible]; then [mathematical expression not reproducible] is said to be soft closed interval with boundary points [??] and [??].

A Study on Some Fundamental Properties of Continuity and Differentiability of Functions of Soft Real Numbers

A general closed interval [a, b] is identified by two real numbers a, b [member of] R and is defined as

Two Iterative Methods for Solving Linear Interval Systems

Let E [subset or equal to] R be a closed interval. Define f : E [right arrow] E to be a continuous mapping.

On the Rate of Convergence of P-Iteration, SP-Iteration, and D-Iteration Methods for Continuous Nondecreasing Functions on Closed Intervals

A d-interval I is a nonempty subset of [L.sub.1] [union] [??] [union] [L.sub.d] such that each component I [intersection] [L.sub.i] is either empty or a closed interval. The packing number of a set [Imaginary part] of d-intervals is the maximum number of pairwise disjoint elements of [Imaginary part], and this quantity is denoted [upsilon]([Imaginary part]).

An Erdos-Hajnal analogue for permutation classes

We consider the problem of finding the roots of a given real-valued equation f (x) = 0 on a closed interval D = [a, b], which we write as a fixed-point equation x = g(x).

Maps for global separation of roots

In the final section of the paper, we assert the notion of multiplicative Lipschitz condition on the closed interval [x, y] [subset] (0, m).

A Generalization on Weighted Means and Convex Functions with respect to the Non-Newtonian Calculus

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.

Statistical and lacunary statistical convergence of interval numbers in topological groups/Convergencia estatistica e estatistico-lacunar de numeros de intervalos em grupos topologicos