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Apparent exceptions to Weber's law have been reported previously, and their theoretical implications remain a matter of debate (e.
In fact, it has been shown mathematically that when the centers of the magnitude distributions vary as a power function of the stimuli, Ekman's law implies Weber's law and vice versa (Norwich & Wong, 1997; Petrov & Anderson, 2005).
Weber's Law of psychophysics has been succinctly phrased by Gustav Fechner as "the sensation increases proportional as the logarithm of the stimulus intensity.