Transition function: Difference between revisions

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In [[mathematics]], a '''transition function''' hasmay severalrefer different meaningsto:

* 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]]

* Ina [[statisticsstochastic kernel]] In statistics and [[probability theory]], a '''transition function''' is a [[stochastic kernel]], the [[conditional probability distribution]] function controlling the transitions of a [[stochastic process]].

== See also ==

* In topology and in particular in the theory of manifolds, a [[transition map|transition function]] between two charts of an atlas is a map which allows to pass from one chart to the other in the region where they intersect.

* [[Non-analytic smooth function#Smooth transition functions]]

* In [[computing]], a '''transition function''' is the function that defines the state transitions of a [[Turing machine]], [[finite-state machine]], or [[cellular automaton]].

* In [[statistics]] and [[probability theory]], a '''transition function''' is a [[stochastic kernel]], the [[conditional probability distribution]] function controlling the transitions of a [[stochastic process]].

{{mathdab}}

[[Category:Homeomorphisms]]