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Mathematical information processing

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Handbook of Mathematics
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Abstract

By an information processing system we mean quite generally a system capable of receiving information, that is, signals having a well-defined structure, of transferring them, storing them, transforming them, and again delivering them. The nature if such a system is determined, among other characteristics, by the following classification features:

  1. 1.

    the sets of inlets and outlets of the system;

  2. 2.

    the sets of symbols that can appear as parts of the inputs and outputs;

  3. 3.

    the time behaviour of the system: either

  4. a)

    the moments at which the system works form a countable set (discrete information processing), or

  5. b)

    the system works continuously (continuous information processing).

  6. 4.

    The relation between input and output of the system: either

  7. a)

    the output of the system is at any moment uniquely determined (deterministic systems), or

  8. b)

    the output is, on the chosen level of abstraction, not uniquely determined (non-deterministic or stochastic systems).

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© 1979 Springer Fachmedien Wiesbaden

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Bronshtein, I.N., Semendyayev, K.A. (1979). Mathematical information processing. In: Handbook of Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-25651-0_10

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  • DOI: https://doi.org/10.1007/978-3-662-25651-0_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-23574-4

  • Online ISBN: 978-3-662-25651-0

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