1.1 Definition and Genesis

According to the power law, sensation magnitudes grow as power functions of stimulus intensities that produce them. The law was first proposed by S.S. Stevens for light and sound. It was announced in a 1953-paper presented before the National Academy of Sciences (USA) (cit. Stevens, 1975). Subsequently, Stevens suggested it as a general law describing quantitatively the relationships between human sensations as well as other subjective impressions and the physical stimuli that evoke them (rev. Stevens, 1975). According to the proposed law, the relationships approximate power functions of the form
$$\psi \, = \,k\phi ^\theta$$


Power Function Sound Pressure Level Magnitude Estimation Line Length Sensation Level 
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