The WeberFechner law
Author:


2010 Mathematics Subject Classication:

91E99, 39B12

Keywords:

functional equation, Gauss' second formula, general distribution property, Hurwitz zetafunction, LipschitzLerch transcendent, Milnor's gamma function, polylogarithm function

Abstract:

In this note, we shall elucidate the reason why the degree of disturbance by noise is measured in logarithmic scale by the WeberFechner law in psychometrica. This in turn relies on the solution to the Schröder equation in the theory of functional equations. We shall solve it by the method of [3].

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Vol. 6 (14), 2011
