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Deterministic system
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==In mathematics== 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 conditions. This sensitivity to initial conditions can be measured with [[Lyapunov exponents]]. [[Markov chain]]s and other [[random walk]]s are not deterministic systems, because their development depends on random choices.
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