half-open interval

half-open interval
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

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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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