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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Geometric continuity
In mathematical analysis, the smoothness of a function is a property measured by the number of continuous derivatives it has over some domain, called ''differentiability class''. At the very minimum, a function could be considered smooth if ...
, a concept primarily applied to the conic sections and related shapes
* In probability theory
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Continuous stochastic process
Science
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Continuity equations applicable to conservation of mass, energy, momentum, electric charge and other conserved quantities
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Continuity test
In electronics, a continuity test is the checking of an electric circuit to see if current flows (that it is in fact a complete circuit).
A continuity test is performed by placing a small voltage (wired in series with an LED or noise-producing c ...
for an unbroken electrical path in an electronic circuit or connector
* In materials science:
** a
colloidal system
A colloid is a mixture in which one substance consisting of microscopically dispersed insoluble particles is suspended throughout another substance. Some definitions specify that the particles must be dispersed in a liquid, while others exten ...
, consists of a dispersed phase evenly intermixed with a continuous phase
** a
continuous wave, an electromagnetic wave of constant amplitude and frequency
Entertainment
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Continuity (broadcasting), messages played by broadcasters between programs
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Continuity editing, a form of film editing that combines closely related shots into a sequence highlighting plot points or consistencies
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Continuity (fiction), consistency of plot elements, such as characterization, location, and costuming, within a work of fiction (this is a mass noun)
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Continuity (setting), one of several similar but distinct fictional universes in a broad franchise of related works (this is a count noun)
* "Continuity" or
continuity script, the precursor to a film screenplay
Other uses
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Continuity (Apple), a set of features introduced by Apple
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Continuity of operations (disambiguation)
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Continuous and progressive aspects in linguistics
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Business continuity
Business continuity may be defined as "the capability of an organization to continue the delivery of products or services at pre-defined acceptable levels following a disruptive incident", and business continuity planning (or business continuity a ...
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Health care continuity
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Continuity in architecture (part of
complementary architecture)
See also
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Continuum (disambiguation)
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Contiguity (disambiguation)
{{disambiguation