Continuity
Encyclopedia
Continuity may refer to:
In mathematics:
Other uses:
In mathematics:
- The opposing concept to discretenessDiscrete mathematicsDiscrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic – do not...
; common examples include:- Continuous probability distribution or random variable in probability and statistics
- Continuous gameContinuous gameA continuous game is a mathematical generalization, used in game theory. It extends the notion of a discrete game, where the players choose from a finite set of pure strategies...
, a generalization of games used in game theory - Law of ContinuityLaw of ContinuityThe Law of Continuity is a heuristic principle introduced by Leibniz based on earlier work by Nicholas of Cusa and Johannes Kepler. It is the principle that "whatever succeeds for the finite, also succeeds for the infinite"...
, a heuristic principle of Gottfried LeibnizGottfried LeibnizGottfried Wilhelm Leibniz was a German philosopher and mathematician. He wrote in different languages, primarily in Latin , French and German ....
- Continuous functionContinuous functionIn mathematics, a continuous function is a function for which, intuitively, "small" changes in the input result in "small" changes in the output. Otherwise, a function is said to be "discontinuous". A continuous function with a continuous inverse function is called "bicontinuous".Continuity of...
; in particular:- Continuity (topology), a generalization to functions between topological spaces
- Scott continuityScott continuityIn mathematics, given two partially ordered sets P and Q a function f : P \rightarrow Q between them is Scott-continuous if it preserves all directed suprema, i.e...
, for functions between posets - Continuity (set theory), for functions between ordinals
- Continuity (category theory), for functors
- Graph continuity, for payoff functions in game theory
- Continuity theorem may refer to one of two results:
- Lévy's continuity theoremLévy's continuity theoremIn probability theory, the Lévy’s continuity theorem, named after the French mathematician Paul Lévy, connects convergence in distribution of the sequence of random variables with pointwise convergence of their characteristic functions...
on random variables - Kolmogorov continuity theoremKolmogorov continuity theoremIn 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...
on stochastic processes
- Lévy's continuity theorem
- In geometry:
- Parametric continuity, for parametrised curves
- Geometric continuity, a concept primarily applied to the conic sections and related shapes
- Continuity equationContinuity equationA continuity equation in physics is a differential equation that describes the transport of a conserved quantity. Since mass, energy, momentum, electric charge and other natural quantities are conserved under their respective appropriate conditions, a variety of physical phenomena may be described...
for application in electromagnetic theory, fluid dynamics and quantum mechanics
Other uses:
- Ethnography and ethnic nationalism: see indigenismIndigenismIndigenism, Native nationalism, or Indigenous nationalism is a kind of ethnic nationalism emphasizing the group's indigeneity to their homeland...
- Materials scienceMaterials scienceMaterials science is an interdisciplinary field applying the properties of matter to various areas of science and engineering. This scientific field investigates the relationship between the structure of materials at atomic or molecular scales and their macroscopic properties. It incorporates...
: Colloids and related matters in which there may be different substances in contact with each other, some of the substances in the form of dispersed particles (the "dispersed phase") and others as a matrix without internal boundaries (the "continuous phase").- Paleolithic Continuity TheoryPaleolithic Continuity TheoryThe Paleolithic Continuity Theory , since 2010 relabelled as the Paleolithic Continuity Paradigm , is a hypothesis suggesting that the Proto-Indo-European language can be traced back to the Upper Paleolithic, several millennia earlier than the Chalcolithic or at the most Neolithic estimates in other...
- Uralic Continuity Theory
- ProtochronismProtochronismProtochronism is a Romanian term describing the tendency to ascribe, largely relying on questionable data and subjective interpretations, an idealised past to the country as a whole...
- Paleolithic Continuity Theory
- Health care continuity
- Continuity (album)Continuity (album)-See also:*Wedlock *Exogamy *Black Sundress*Reverend Charisma*Witnesses EP...
, an album by electronic indie group WedlockWedlockWedlock may refer to:* Marriage* Wedlock , an album by Sunburned Hand of the Man* Wedlock , directed by Lewis Teague* Billy Wedlock, an English footballer* Fred Wedlock, an English folk singer... - Continuity of Operations PlanContinuity of Operations PlanContinuity of Operations is a United States Federal initiative, required by Presidential directive, to ensure that agencies are able to continue performance of essential functions under a broad range of circumstances....
- Continuity (fiction)Continuity (fiction)In fiction, continuity is consistency of the characteristics of persons, plot, objects, places and events seen by the reader or viewer over some period of time...
, the consistency of the characteristics of persons, plot, objects, places and events seen by the reader or viewer - Continuity supervisor or script supervisor, a member of a film crew responsible for maintaining continuity of the motion picture
- Continuity (broadcasting)Continuity (broadcasting)'Continuity' or 'presentation' is a term used in broadcasting, especially in the United Kingdom , to refer to announcements, messages and graphics played by the broadcaster between specific programmes...
, messages (other than advertisements) played by broadcasters between programmes - An unbroken electrical path in an electrical circuit or connector