Continuity or continuous may refer to:
Mathematics
*
Continuity (mathematics), the opposing concept to discreteness; common examples include
**
Continuous probability distribution or random variable in probability and statistics
**
Continuous game, a generalization of games used in game theory
**
Law of Continuity, a heuristic principle of Gottfried Leibniz
*
Continuous function
In mathematics, a continuous function is a function such that a continuous variation (that is a change without jump) of the argument induces a continuous variation of the value of the function. This means that there are no abrupt changes in value ...
, in particular:
**
Continuity (topology), a generalization to functions between topological spaces
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Scott continuity, for functions between posets
**
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
**
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
**
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
**
Kolmogorov continuity theorem In mathematics, the Kolmogorov continuity theorem is a theorem that guarantees that a stochastic process that satisfies certain constraints on the moments of its increments will be continuous (or, more precisely, have a "continuous version"). It is ...
, on stochastic processes
* In geometry:
**
Parametric continuity, for parametrised curves
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Geometric continuity, a concept primarily applied to the conic sections and related shapes
* In probability theory
**
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 ...
s applicable to conservation of mass, energy, momentum, electric charge and other conserved quantities
*
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 com ...
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
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 particle ...
, an electromagnetic wave of constant amplitude and frequency
Entertainment
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Continuity (broadcasting), messages played by broadcasters between programs
*
Continuity editing, a form of film editing that combines closely related shots into a sequence highlighting plot points or consistencies
*
Continuity (fiction), consistency of plot elements, such as characterization, location, and costuming, within a work of fiction (this is a mass noun)
*
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
*
Continuity of operations (disambiguation)
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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 l ...
in linguistics
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Business continuity
*
Health care continuity
*
Continuity in architecture (part of
complementary architecture)
See also
*
Continuum (disambiguation)
Continuum may refer to:
* Continuum (measurement), theories or models that explain gradual transitions from one condition to another without abrupt changes
Mathematics
* Continuum (set theory), the real line or the corresponding cardinal number ...
*
Contiguity (disambiguation)
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