Continuity - Mathematics

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