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Symmetry and asymmetry in the probability field

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Abstract

The concepts of right-hand entropy and left-hand entropy as a measure of the symmetry in a probability field are defined. Likewise the concept of the asymmetry as a very important property of the same probability field is emphasized. Thus, it is shown that some schemes, which are indistinguishable by means of Shannon's entropy, may be recognized by using these new concepts.

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References

  • Bongard, M.M.: Über den Begriff der „nützlichen Information”. Probl. Kyb. 6, 91–130 (1966)

    Google Scholar 

  • Demetrius, L.: Isomorphism of population models. Kybernetik 14, 214–244 (1974)

    Google Scholar 

  • Guiaşu, S.: Weighted entropy. Rep. Math. Phys. 2, 165–179 (1971)

    Google Scholar 

  • Guiaşu, S., Maliţa, M.: Triade, Bucureşti. Ed. Stiinţifică 1973

    Google Scholar 

  • Jaglom, A.M., Jaglom, I.M.: Wahrscheinlichkeit und Information. Berlin: Deutşcher Verlag der Wissenschaften 1965

    Google Scholar 

  • Khinchin, A.I.: Mathematical foundations on information theory. New York: Dover Publ. Inc. 1957

    Google Scholar 

  • Mărgineanu, D.G.: Entropy changes associated with a nerve impulse. Kybernetik 11, 73–76 (1972)

    Google Scholar 

  • Nokohama, H., Ishii, N., Yamamoto, M.: Markov process of maintained impulse activity in central single neurons. Kybernetik 11, 61–72 (1972)

    Google Scholar 

  • Von Neumann, I., Morgenstern, O.: Theory of games and economic behaviour. New York: John Wiley & Sons Inc. 1964

    Google Scholar 

  • Weiss, P.: Subjektive Unsicherheit und subjektive Information. Kybernetik 5, 77–82 (1968)

    Google Scholar 

  • Shannon, C.E.: A mathematical theory of communication. Bell Syst. Techn. J. 27, 379–423, 623–656 (1948)

    Google Scholar 

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Manole, O. Symmetry and asymmetry in the probability field. Biol. Cybernetics 23, 181–186 (1976). https://doi.org/10.1007/BF00340334

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  • DOI: https://doi.org/10.1007/BF00340334

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