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
- Continuity equation for application in electromagnetic theory, fluid dynamics and quantum mechanics
Read more about this topic: Continuity
Famous quotes containing the word mathematics:
“In mathematics he was greater
Than Tycho Brahe, or Erra Pater:
For he, by geometric scale,
Could take the size of pots of ale;
Resolve, by sines and tangents straight,
If bread and butter wanted weight;
And wisely tell what hour o’ th’ day
The clock doth strike, by algebra.”
—Samuel Butler (1612–1680)
“I must study politics and war that my sons may have liberty to study mathematics and philosophy.”
—John Adams (1735–1826)