In mathematics, a transition function has several different meanings: History Main article: History of mathematics In addition to recognizing how to count concrete objects, prehistoric peoples also recognized how to count abstract quantities, like time -- days, seasons, years. ...
In topology, a transition function is a homeomorphism from one coordinate chart to another. Given two charts (Ui, φi) and (Uj, φj) a transition function normally takes the form
for some set F being covered by the topology. See fiber bundle for additional details.
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In Automata Theory, a state transition table is a table describing the transitionfunction T of a finite automaton.
This function governs what state (or states in the case of a nondeterministic finite automaton) the automaton will move to, given an input to the machine.
Given a state diagram of a finite automaton, a state transition table can be derived from it and vice versa.
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