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Entropy (disambiguation)

From Wikipedia, the free encyclopedia
(Redirected from Mathematical entropy)

Entropy is a scientific concept that is most commonly associated with a state of disorder, randomness, or uncertainty.

Entropy may also refer to:

Science and technology

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Physics

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Information theory and mathematics

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  • Entropy (information theory), also called Shannon entropy, a measure of the unpredictability or information content of a message source
  • Differential entropy, a generalization of Entropy (information theory) to continuous random variables
    • Entropy of entanglement, related to the Shannon and von Neumann entropies for entangled systems; reflecting the degree of entanglement of subsystems
  • Algorithmic entropy an (incomputable) measure of the information content of a particular message
  • Rényi entropy, a family of diversity measures generalising Shannon entropy; used to define fractal dimensions
  • Topological entropy, a measure of exponential growth in dynamical systems; equivalent to the rate of increase of α->0 Renyi entropy of a trajectory in trajectory-space
  • Volume entropy, a Riemannian invariant measuring the exponential rate of volume growth of a Riemannian metric
  • Graph entropy, a measure of the information rate achievable by communicating symbols over a channel in which certain pairs of values may be confused

Other uses in science and technology

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  • Entropy encoding, data compression strategies to produce a code length equal to the entropy of a message
  • Entropy (computing), an indicator of the number of random bits available to seed cryptography systems
  • Entropy (anesthesiology), a measure of a patient's cortical function, based on the mathematical entropy of EEG signals
  • Entropy (ecology), measures of biodiversity in the study of biological ecology, based on Shannon and Rényi entropies
  • Social entropy, a measure of the natural decay within a social system

Arts and entertainment

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Film and television

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Games

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Literature

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Music

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Other uses in arts and entertainment

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Other uses

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See also

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