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Weber's law has important applications in marketing. Manufacturers and marketers endeavor to determine the relevant JND for their products for two very different reasons: so that negative changes (e.g. reductions in product size or quality, or increase in product price) are not discernible to the public (i.e. remain below JND) and
Both Weber's law and Fechner's law were formulated by Gustav Theodor Fechner (1801–1887). They were first published in 1860 in the work Elemente der Psychophysik ( Elements of Psychophysics ). This publication was the first work ever in this field, and where Fechner coined the term psychophysics to describe the interdisciplinary study of how ...
It is often considered to supersede the Weber–Fechner law, which is based on a logarithmic relationship between stimulus and sensation, because the power law describes a wider range of sensory comparisons, down to zero intensity. [1] The theory is named after psychophysicist Stanley Smith Stevens (1906–1973).
The Weber number appears in the incompressible Navier-Stokes equations through a free surface boundary condition. [ 3 ] For a fluid of constant density ρ {\displaystyle \rho } and dynamic viscosity μ {\displaystyle \mu } , at the free surface interface there is a balance between the normal stress and the curvature force associated with the ...
[B 1] [B 2] In 1890 Maurice Lévy succeeded in doing so by combining the laws of Weber and Riemann, whereby the speed of gravity is equal to the speed of light in his theory. [A 1] However, because the basic laws of Weber and others were wrong (for example, Weber's law was superseded by Maxwell's equations), those hypotheses were rejected.
The law predicts that if log is plotted against log, the threshold curve for low will be a straight line with gradient 1/2, but this is only approximately true in the interval between the very darkest background level (gradient 0 - "dark light"), and daylight conditions (gradient 1 - Weber's law). The portion of approximate validity is termed ...
Gauss's law for magnetism, which is one of the four Maxwell's equations, states that the total magnetic flux through a closed surface is equal to zero. (A "closed surface" is a surface that completely encloses a volume(s) with no holes.) This law is a consequence of the empirical observation that magnetic monopoles have never been found.
Weber functions E ν are solutions of an inhomogeneous Bessel equation, and are linear combinations of Anger functions if ν is not an integer, or linear combinations of Struve functions if ν is an integer; Weber–Hermite function is another name for parabolic cylinder functions, which are solutions of Weber's (differential) equation