Transition function

Transition function

In mathematics, a transition function has several different meanings:

* In topology, a transition function is a homeomorphism from one coordinate chart to another. Given two charts ("U""i", φ"i") and ("U""j", φ"j") a transition function normally takes the form::phi_iphi_j^{-1} : (U_i cap U_j) imes F o (U_i cap U_j) imes F:for some set "F" being covered by the topology. See fiber bundle and atlas (topology) for additional details.

* In computing, a transition function is the function that defines the state transitions of a Turing machine or a state machine.


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