Continuity Explained

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 particular:
- Continuity (topology), a generalization to functions between topological spaces
- Scott continuity, 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 theorem, on random variables
- Kolmogorov continuity theorem, on stochastic processes
In geometry:
- Parametric continuity, for parametrised curves
- Geometric continuity, a concept primarily applied to the conic sections and related shapes
In probability theory
- Continuous stochastic process

Continuity equations applicable to conservation of mass, energy, momentum, electric charge and other conserved quantities
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, an electromagnetic wave of constant amplitude and frequency

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