half-open interval

half-open interval
puoliavoin väli

English-Finnish mathematical dictionary. 2011.

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  • 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

  • half-open interval — part of a plane that borders on only one point (Mathematics) …   English contemporary dictionary

  • half-open — adjective a) Partially open; ajar b) (referring to an interval on the real line) containing only one of its endpoints …   Wiktionary

  • 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 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

  • 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

  • Nested interval topology — In mathematics, more specifically general topology, the nested interval topology is an example of a topology given to the open interval (0,1), i.e. the set of all real numbers x such that 0 < x < 1. The open interval (0,1) is the set of all …   Wikipedia

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  • Half — (h[aum]f), a. [AS. healf, half, half; as a noun, half, side, part; akin to OS., OFries., & D. half, G. halb, Sw. half, Dan. halv, Icel. h[=a]lfr, Goth. halbs. Cf. {Halve}, {Behalf}.] 1. Consisting of a moiety, or half; as, a half bushel; a half… …   The Collaborative International Dictionary of English

  • Half ape — Half Half (h[aum]f), a. [AS. healf, half, half; as a noun, half, side, part; akin to OS., OFries., & D. half, G. halb, Sw. half, Dan. halv, Icel. h[=a]lfr, Goth. halbs. Cf. {Halve}, {Behalf}.] 1. Consisting of a moiety, or half; as, a half… …   The Collaborative International Dictionary of English

  • Half back — Half Half (h[aum]f), a. [AS. healf, half, half; as a noun, half, side, part; akin to OS., OFries., & D. half, G. halb, Sw. half, Dan. halv, Icel. h[=a]lfr, Goth. halbs. Cf. {Halve}, {Behalf}.] 1. Consisting of a moiety, or half; as, a half… …   The Collaborative International Dictionary of English

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