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

  • Open mapping theorem (complex analysis) — In complex analysis, the open mapping theorem states that if U is a connected open subset of the complex plane C and f : U → C is a non constant holomorphic function, then f is an open map (i.e. it sends open subsets of U to open subsets of… …   Wikipedia

  • 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

  • Open and closed maps — In topology, an open map is a function between two topological spaces which maps open sets to open sets.[1] That is, a function f : X → Y is open if for any open set U in X, the image f(U) is open in Y. Likewise, a closed map is a function… …   Wikipedia

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  • Open channel flow — Open Channel Flow, a branch of Hydraulics, is a type of liquid flow within a conduit with a free surface, known as a channel. The other type of flow within a conduit is pipe flow. These two types of flow are similar in many ways, but differ in… …   Wikipedia

  • 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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