title: Transition function
text: # Transition function
  
  In mathematics, a transition function may refer to:
  
  * a transition map between two charts of an atlas of a manifold or other topological space
  * the function that defines the transitions of a state 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, the conditional probability distribution function controlling the transitions of a stochastic process
  