Transition function

In mathematics, a transition function may refer to:

• a transition map between two charts of an atlas of a manifold or other topological space
• the function that defines the transitions of a transition system in computing, which may refer more specifically to a
  • Turing machine,
  • finite-state machine, or
  • cellular automaton
• a stochastic kernel In statistics and probability theory, the conditional probability distribution function controlling the transitions of a stochastic process

• Non-analytic smooth function#Smooth transition functions