Transition function: Difference between revisions

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Revision as of 05:37, 9 February 2014

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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

* Inthe topologyfunction andthat in particular indefines the theorytransitions of manifolds, a [[transitionstate map|transition functionsystem]] betweenin two charts of an atlas is a mapcomputing, which allowsmay torefer passmore from one chartspecifically to the other in the region where they intersect.a

** [[Turing machine]],

** [[finite-state machine]], or

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

** [[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.

{{mathdab}}