Continuity or continuous may refer to:
Mathematics
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Continuity (mathematics)
In mathematics, the terms continuity, continuous, and continuum are used in a variety of related ways.
Continuity of functions and measures
* Continuous function
* Absolutely continuous function
* Absolute continuity of a measure with respe ...
, the opposing concept to discreteness; common examples include
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Continuous probability distribution
In probability theory and statistics, a probability distribution is a Function (mathematics), function that gives the probabilities of occurrence of possible events for an Experiment (probability theory), experiment. It is a mathematical descri ...
or random variable in probability and statistics
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Continuous game, 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 mathematics, a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function. This implies there are no abrupt changes in value, known as '' discontinuities''. More preci ...
, in particular:
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Continuity (topology)
In mathematics, a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function. This implies there are no abrupt changes in value, known as '' discontinuities''. More preci ...
, a generalization to functions between topological spaces
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Scott continuity
In mathematics, given two partially ordered sets ''P'' and ''Q'', a function ''f'': ''P'' → ''Q'' between them is Scott-continuous (named after the mathematician Dana Scott) if it preserves all directed suprema. That is, for every directed su ...
, for functions between posets
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Continuity (set theory), for functions between ordinals
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Continuity (category theory), for functors
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Graph continuity, 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
In mathematical analysis, the smoothness of a function is a property measured by the number of continuous derivatives (''differentiability class)'' it has over its domain.
A function of class C^k is a function of smoothness at least ; t ...
, for parametrised curves
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Geometric continuity, 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 equation
A continuity equation or transport equation is an equation that describes the transport of some quantity. It is particularly simple and powerful when applied to a conserved quantity, but it can be generalized to apply to any extensive quantity ...
s applicable to conservation of mass, energy, momentum, electric charge and other conserved quantities
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Continuity test for an unbroken electrical path in an electronic circuit or connector
* In materials science:
** a
colloidal system, consists of a dispersed phase evenly intermixed with a continuous phase
** a
continuous wave
A continuous wave or continuous waveform (CW) is an electromagnetic wave of constant amplitude and frequency, typically a sine wave, that for mathematical analysis is considered to be of infinite duration. It may refer to e.g. a laser or particl ...
, an electromagnetic wave of constant amplitude and frequency
Entertainment
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Continuity (broadcasting)
In broadcasting, continuity or presentation (or station break in the United States, U.S. and Canada) is announcements, messages and graphics played by the broadcaster between specific Television program, programmes. It typically includes program ...
, messages played by broadcasters between programs
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Continuity editing
Continuity editing is the process, in film and video creation, of combining more-or-less related shots, or different components cut from a single shot, into a sequence to direct the viewer's attention to a pre-existing consistency of story across ...
, a form of film editing that combines closely related shots into a sequence highlighting plot points or consistencies
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Continuity (fiction)
In fiction, continuity is the consistency of the characteristics of people, plot, objects, and places seen by the audience over some period of time. It is relevant to many genres and forms of storytelling, especially if it is long-running.
Conti ...
, 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)
A fictional universe, also known as an imagined universe or a constructed universe, is the internally consistent fictional setting used in a narrative or a work of art. This concept is most commonly associated with works of fantasy and scien ...
, one of several similar but distinct fictional universes in a broad franchise of related works (this is a count noun)
* "Continuity" or
continuity script
A screenplay, or script, is a written work produced for a film, television show (also known as a ''teleplay''), or video game by screenwriters (cf. ''stage play''). Screenplays can be original works or adaptations from existing pieces of wri ...
, the precursor to a film screenplay
Other uses
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Continuity (Apple)
OS X Yosemite ( ; version 10.10) is the eleventh major release of macOS, Apple Inc.'s desktop and server operating system for Macintosh computers.
OS X Yosemite was announced and released to developers on June 2, 2014, at WWDC 2014 and re ...
, a set of features introduced by Apple
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Continuity of operations (disambiguation) Continuity of operations can mean:
* Continuity of government, defined procedures that allow a government to continue its essential operations in case of a catastrophic event
** Continuity of Government Commission, a nonpartisan think tank establish ...
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Continuous and progressive aspects
The continuous and progressive aspects ( abbreviated and ) are grammatical aspects that express incomplete action ("to do") or state ("to be") in progress at a specific time: they are non-habitual, imperfective aspects.
In the grammars of many ...
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 ...
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Health care continuity Transitional care refers to the coordination and continuity of health care during a movement from one healthcare setting to either another or to home, called care transition, between health care practitioners and settings as their condition and care ...
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Continuity in architecture (part of
complementary architecture
Complementary architecture is a movement in contemporary architecture promoting architectural . Indispensable features of complementary architecture include sustainability, altruism, contextualism, endemism and continuity of specific regional ...
)
See also
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Continuum (disambiguation)
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Contiguity (disambiguation)
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