transition function
The term "transition function" is used in various fields like computer science, mathematics, and statistics to describe how states change or transition based on certain inputs or conditions.
Definition
C1Automata Theory
(technical, academic)A function that determines the next state of an automaton based on its current state and input symbol.
Example
- In a finite state machine, the transition function moves the system to the next state based on the input received.
C2Markov Chains
(technical, academic)A function that specifies the probability of moving from one state to another in a Markov chain.
Example
- The transition function of a Markov chain helps determine the likelihood of future states.
C2Differential Geometry
(technical, academic)A map that relates overlapping coordinate charts on a manifold, ensuring consistency in their descriptions.
Example
- Transition functions are crucial for maintaining consistency in different coordinate charts of a manifold.
C2Dynamic Systems
(technical, academic)A function describing how the state of a system evolves over time, often in discrete-time systems.
Example
- The transition function in dynamic systems models how the state changes at each time step.
C2Machine Learning
(technical, academic)A function that predicts the next state of a system or process, especially in sequential data or time series forecasting.
Example
- In reinforcement learning, the transition function predicts the next state based on the current state and action.
Similar
Terms that have similar or relatively close meanings to "transition function":
transition pointtransition timetransition elementtransition yearpositive transitiontransition temperaturetransition zonetransformational rule