Content deleted Content added
Note that stochastic kernel currently doesn't have its own page. It redirects to stochastic kernel estimation. |
Echsecutor (talk | contribs) added link to vector bundle transition functions |
||
Line 3:
* In [[topology]], a '''transition function''' is a [[homeomorphism]] from one coordinate [[Atlas (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]], in particular also [[Vector_bundle#Transition_functions|vector bundle]], and [[atlas (topology)]] for additional details.
* In [[computing]], a '''transition function''' is the function that defines the state transitions of a [[Turing machine]], [[finite-state machine]], or [[cellular automaton]].
| |||