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In computer science, a deterministic algorithm is an algorithm that, given a particular input, will always produce the same output, with the underlying machine always passing through the same sequence of states.
[2] [3] A more extreme antonym of determinism is indeterminism, or the view that events are not deterministically caused but rather occur due to random chance. Historically, debates about determinism have involved many philosophical positions and given rise to multiple varieties or interpretations of determinism.
The systems studied in chaos theory are deterministic. If the initial state were known exactly, then the future state of such a system could theoretically be predicted. However, in practice, knowledge about the future state is limited by the precision with which the initial state can be measured, and chaotic systems are characterized by a strong dependence on the initial condit
For each state, there is a transition arrow leading out to a next state for both 0 and 1. Upon reading a symbol, a DFA jumps deterministically from one state to another by following the transition arrow. For example, if the automaton is currently in state S 0 and the current input symbol is 1, then it deterministically jumps to state S 1.
Nominative determinism differs from the related concept aptronym, and its synonyms 'aptonym', 'namephreak', and 'Perfect Fit Last Name' (captured by the Latin phrase nomen est omen 'the name is a sign'), in that it focuses on causality. 'Aptronym' merely means the name is fitting, without saying anything about why it has come to fit.
In mathematics, a function is a rule for taking an input (in the simplest case, a number or set of numbers) [5] and providing an output (which may also be a number). [5] A symbol that stands for an arbitrary input is called an independent variable, while a symbol that stands for an arbitrary output is called a dependent variable. [6]
If all inputs are specified, the computer will always produce a particular output which is calculated deterministically. Computer scientists also study other models of computation including parallel computers (more than one deterministic step at a time), and quantum computers (which are based on non-deterministic quantum mechanical models ...
There must be at least one accepting path, and the string describing this path is the proof supplied to the verifier. The verifier can then deterministically simulate A, following only the accepting path, and verifying that it accepts at the end. If A rejects the input, there is no accepting path, and the verifier will always reject.