Transition function: Difference between revisions

Revision as of 06:24, 14 June 2013

Latest revision as of 10:53, 6 October 2024

(2 intermediate revisions by 2 users not shown)

Line 1:

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]]

* a [[stochastic 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}}