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Mathematics

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Closure (mathematics) In mathematics, a subset of a given set is closed under an operation of the larger set if performing that operation on members of the subset always produces a member of that subset. For example, the natural numbers are closed under addition, but n ...
, a set, along with operations, for which applying those operations on members always results in a member of the set *
Closed set In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set. In a topological space, a closed set can be defined as a set which contains all its limit points. In a complete metric space, a cl ...
, a set which contains all its limit points *
Closed interval In mathematics, a (real) interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers satisfying is an interval which contains , , and all numbers in between. Other ...
, an interval which includes its endpoints *
Closed line segment In geometry, a line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. The length of a line segment is given by the Euclidean distance between i ...
, a line segment which includes its endpoints *
Closed manifold In mathematics, a closed manifold is a manifold without boundary that is compact. In comparison, an open manifold is a manifold without boundary that has only ''non-compact'' components. Examples The only connected one-dimensional example ...
, a compact manifold which has no boundary


Other uses

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Closed (poker) {{Unreferenced, date=June 2009 In the game of poker, a betting round is said to be closed if no player will have the right to raise in the round. Normally this occurs when a player calls, and the next player whose turn it is to act is the one who m ...
, a betting round where no player will have the right to raise * ''Closed'' (album), a 2010 album by Bomb Factory *
Closed GmbH Closed GmbH is a German fashion brand which has produced jeans and other clothes{{cite web , url=http://www.wwd.com/fashion-news/fashion-scoops/heading-to-the-exit-7285399?src=nl/mornReport/20131121 , title=Kostas Murkudis Exiting German Brand ...
, a German fashion brand *
Closed class In grammar, a part of speech or part-of-speech (abbreviated as POS or PoS, also known as word class or grammatical category) is a category of words (or, more generally, of lexical items) that have similar grammatical properties. Words that are assi ...
, in linguistics, a class of words or other entities which rarely changes


See also

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Close (disambiguation) Close may refer to: Music * ''Close'' (Kim Wilde album), 1988 * ''Close'' (Marvin Sapp album), 2017 * ''Close'' (Sean Bonniwell album), 1969 * "Close" (Sub Focus song), 2014 * "Close" (Nick Jonas song), 2016 * "Close" (Rae Sremmurd song), 201 ...
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Closed loop (disambiguation) Closed loop or closed-loop may refer to: Mathematics * Loop (topology), a path whose initial point is equal to its terminal point * Closed curve, a mathematical curve described as a set of continuous parametric equations over a closed interval of r ...
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Closing (disambiguation) Closing may refer to: Business and law * Closing (law), a closing argument, a summation * Closing (real estate), the final step in executing a real estate transaction * Closing (sales), the process of making a sale * Closing a business, the proc ...
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Closure (disambiguation) Closure may refer to: Conceptual Psychology * Closure (psychology), the state of experiencing an emotional conclusion to a difficult life event Computer science * Closure (computer programming), an abstraction binding a function to its scope * ...
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Open (disambiguation) Open or OPEN may refer to: Music * Open (band), Australian pop/rock band * The Open (band), English indie rock band * ''Open'' (Blues Image album), 1969 * ''Open'' (Gotthard album), 1999 * ''Open'' (Cowboy Junkies album), 2001 * ''Open'' (YF ...
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