closed interval

American  

[klohzd in-ter-vuhl] / ˈkloʊzd ˈɪn tər vəl /

noun

1. Mathematics. a range of numbers on a number line, the endpoints of which are included in the range and are denoted as such within square brackets. For example, [12, 38] is a closed interval, representing the set of real numbers from 12 to 38, including 12 and 38.

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closed interval British  

noun

1. 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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closed interval Scientific  

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

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Example Sentences

When working with a function of two variables, the closed interval is replaced by a closed, bounded set.

From Textbooks • Mar. 30, 2016

Continuous functions on a closed interval are integrable.

From Textbooks • Mar. 30, 2016

It is continuous over a closed interval if it is continuous at every point in its interior and is continuous at its endpoints.

From Textbooks • Mar. 30, 2016