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A note on the derivation of the stevens power law

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Abstract

Previous derivations of the Stevens Power Law relating loudness to intensity assume, in addition to level invariance, that the relation must be analytic or at least differentiable. This last condition is replaced here by the weaker one of requiring only continuity.

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Literature

  • Yilmaz, H. 1964. “On the Laws of Psychophysics.”Bull Math. Biophysics,26, 235–237.

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  • — 1967. “A Theory of Speech Perception.”Ibid.,29, 793–825.

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Authors and Affiliations

  1. U.S. Naval Postgraduate School, Monterey, California

    H. M. Martinez

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  1. H. M. Martinez
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Martinez, H.M. A note on the derivation of the stevens power law. Bulletin of Mathematical Biophysics 29, 827–829 (1967). https://doi.org/10.1007/BF02476930

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  • DOI: https://doi.org/10.1007/BF02476930

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