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Fechner law

Fechner law s, Fechner's law, Weber-Fechner's law, 2nd psychophysical law, psychophysical basic law, psychophysical measure formula,E. Fechner's law, mathematical formulation of the relationship between Stimulus (objective) and Experience- (subjective) Intensities. Based on studies by the physiologist E.H. Weber, who showed that the just noticeable difference in stimuli (ΔI) is in a constant ratio to the size of the reference stimulus (I) (ΔI / I = k), G.T. Fechner (1850) that ΔI is a measure of the just noticeable Difference in sensation (ΔE) from sensation (E) occurring at I. Based on Leibniz's concept of minimal perceptions ("petites perceptions" in the sense of differential units of experience), Fechner further postulated a correspondence between any small, infinitesimal increase in stimulus (dI) and minimal, "subliminal" increase in sensation (dE), thus arriving at his "fundamental formula" dE = c · dI / I, the integration of which the so-called "measurement formula"
E = c * log I + f
results. E means the sensation intensity, I the stimulus intensity and c and f are constants or proportionality factors that depend on the respective sensory modality. In general terms, Fechner's law says that the intensity of sensation increases with the logarithm of the intensity of the stimulus. A doubling of the stimulus strength causes an increase in the perceived intensity of about 30%, a tenfold increase subjectively a doubling. Numerous experimental tests have shown that Fechner's law only applies to a medium intensity range of a stimulus continuum, which is crucial in everyday life. In terms of the physiology of the senses, Fechner's law refers to non-linear transformation relationships between stimulus and neuronal excitation. Psychophysics.