Continuity or continuous may refer to:
Mathematics
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Continuity (mathematics), the opposing concept to discreteness; common examples include
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Continuous probability distribution or random variable in probability and statistics
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Continuous game
A continuous game is a mathematical concept, used in game theory, that generalizes the idea of an ordinary game like tic-tac-toe (noughts and crosses) or checkers (draughts). In other words, it extends the notion of a discrete game, where the playe ...
, a generalization of games used in game theory
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Law of Continuity, a heuristic principle of Gottfried Leibniz
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Continuous function, in particular:
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Continuity (topology), a generalization to functions between topological spaces
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Scott continuity, for functions between posets
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Continuity (set theory) In set theory, a continuous function is a sequence of ordinals such that the values assumed at limit stages are the limits ( limit suprema and limit infima) of all values at previous stages. More formally, let γ be an ordinal, and s := \langle s_, ...
, for functions between ordinals
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Continuity (category theory)
In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions such as product (category theory), products, pullback (category theory), pullbacks and inverse limits. The du ...
, for functors
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Graph continuity In mathematics, and in particular the study of game theory, a function is graph continuous if it exhibits the following properties. The concept was originally defined by Partha Dasgupta and Eric Maskin in 1986 and is a version of continuity that f ...
, for payoff functions in game theory
* Continuity theorem may refer to one of two results:
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Lévy's continuity theorem, on random variables
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Kolmogorov continuity theorem, on stochastic processes
* In geometry:
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Parametric continuity, for parametrised curves
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