open interval

open interval
an interval in the real number line which does not contain its supremum and infimum. If specified by a pair of real numbers, then it consists of all the points on the real line whose values lie strictly between those two real numbers.

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  • open interval — noun an interval that does not include its endpoints • Syn: ↑unbounded interval • Ant: ↑closed interval • Hypernyms: ↑interval …   Useful english dictionary

  • open interval — part of a line that is not bound by endpoints (Mathematics) …   English contemporary dictionary

  • half-open interval — noun An interval in the real line which contains one of its endpoints but not the other one: i.e., it either contains its supremum or its infimum but not both. See Also: open interval, closed interval …   Wiktionary

  • Interval (mathematics) — This article is about intervals of real numbers. For intervals in general mathematics, see Partially ordered set. For other uses, see Interval. In mathematics, a (real) interval is a set of real numbers with the property that any number that lies …   Wikipedia

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  • open — I. adjective (opener; openest) Etymology: Middle English, from Old English; akin to Old High German offan open, Old English ūp up Date: before 12th century 1. having no enclosing or confining barrier ; accessible on all or nearly all sides …   New Collegiate Dictionary

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  • open|bill — «OH puhn BIHL», noun. any one of a group of small storks, with species in Africa and southern Asia, having a bill with mandibles separated by an interval before meeting at the tip …   Useful english dictionary

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