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Salix alba (talk | contribs) fix link to set (mathematics) using AWB |
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* In [[topology]], a '''transition function''' is a [[homeomorphism]] from one coordinate [[chart (topology)|chart]] to another. Given two charts (''U''<sub>''i''</sub>, φ<sub>''i''</sub>) and (''U''<sub>''j''</sub>, φ<sub>''j''</sub>) a transition [[function (mathematics)|function]] normally takes the form
::<math>\phi_i\phi_j^{-1} : (U_i \cap U_j) \times F \to (U_i \cap U_j) \times F</math>
:for some [[Set (mathematics)|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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