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Foundations of Physics

, Volume 30, Issue 10, pp 1679–1686 | Cite as

On the Joint Distribution of Observables

  • Beloslav Riečan
Article
  • 43 Downloads

Abstract

A general algebraic system M is considered with two binary operations. The family of all measurable functions with values in the unit interval is a motivating example. A state is a morphism from M to the unit interval, an observable is a morphism from the family of Borel sets to M. A joint distribution of two observables is constructed. It is applied for the construction of the sum of observables and for a representation of conditional probability.

Keywords

Conditional Probability Measurable Function Joint Distribution Binary Operation Algebraic System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • Beloslav Riečan
    • 1
    • 2
  1. 1.Department of Mathematics, Faculty of Natural SciencesMatej Bel UniversityBanska BystricaSlovakia
  2. 2.Mathematical InstituteSlovak Academy of SciencesBratislavaSlovakia;

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