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
See also Non-analytic smooth function#Smooth transition functions