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Showing results for open interval. Search instead for open+interval.

open interval

American  
[oh-puhn in-ter-vuhl] / ˈoʊ pən ˈɪn tər vəl /

noun

  1. Mathematics. an interval that does not include its endpoints.

open interval Scientific  

  1. A set of numbers consisting of all the numbers between a pair of given numbers but not including the endpoints.

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

A function is continuous over an open interval if it is continuous at every point in the interval.

From Textbooks • Mar. 30, 2016

A function is continuous over an open interval if it is continuous at every point in the interval.

From Textbooks • Mar. 30, 2016

Some time afterwards, we overtook that portion when crossing an open interval of the woods; they made for the scrub on seeing us.

From Journal of an Expedition into the Interior of Tropical Australia by Mitchell, Thomas

Silence fell upon them all, and their eyes were toward a figure standing in the open interval of the room—a figure whose aspect thrilled St. George with sudden, inexplicable emotion.

From Romance Island by Gale, Zona

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.