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closed
closed / klōzd/ • adj. not open. ∎ (of a business) having ceased trading, esp. for a short period: he put the “Closed” sign up on the door. ∎ no longer under discussion or investigation; concluded: closed cases of alleged contract irregularities. ∎ (of a society or system) not communicating with or influenced by others; independent. ∎ limited to certain people; not open or available to all: the UN Security Council met in closed session. ∎ unwilling to accept new ideas: you're facing the situation with a closed mind. ∎ Math. (of a set) having the property that the result of a specified operation on any element of the set is itself a member of the set. ∎ Math. (of a set) containing all its limit points. ∎ Geom. of or pertaining to a curve whose ends are joined. PHRASES: behind closed doors taking place secretly. closed book a subject or person about which one knows nothing. |
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"closed." The Oxford Pocket Dictionary of Current English. 2009. Encyclopedia.com. 27 May. 2012 <http://www.encyclopedia.com>. "closed." The Oxford Pocket Dictionary of Current English. 2009. Encyclopedia.com. (May 27, 2012). http://www.encyclopedia.com/doc/1O999-closed.html "closed." The Oxford Pocket Dictionary of Current English. 2009. Retrieved May 27, 2012 from Encyclopedia.com: http://www.encyclopedia.com/doc/1O999-closed.html |
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closed
closed A term applied to a set S on whose elements a dyadic operation ◦ is defined and that possesses the property that, for every (s,t) in S, the quantity s ◦ t is also in S; S is then said to be closed under ◦. A similar definition holds for monadic operations such as ~. A set S is closed under ~ provided that, when s is in S, the quantity ~s is also in S.
The set of integers is closed under the usual arithmetic operations of addition, subtraction, and multiplication, but is not closed under division. |
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Cite this article
JOHN DAINTITH. "closed." A Dictionary of Computing. 2004. Encyclopedia.com. 27 May. 2012 <http://www.encyclopedia.com>. JOHN DAINTITH. "closed." A Dictionary of Computing. 2004. Encyclopedia.com. (May 27, 2012). http://www.encyclopedia.com/doc/1O11-closed.html JOHN DAINTITH. "closed." A Dictionary of Computing. 2004. Retrieved May 27, 2012 from Encyclopedia.com: http://www.encyclopedia.com/doc/1O11-closed.html |
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