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Stretched exponential function

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Stretched exponential function
The stretched exponential function f β ( t ) = e − t β {\displaystyle f_{\beta }(t)=e^{-t^{\beta }}} is obtained by inserting a fractional power law into...
Exponential integral
In mathematics, the exponential integral Ei is a special function on the complex plane. It is defined as one particular definite integral of the ratio...
King effect
include the power-law distribution, that is a basis for the stretched exponential function, and parabolic fractal distribution. Laherrere and Sornette...
Cole–Cole equation
charge response corresponds to the stretched exponential function or the Kohlrausch–Williams–Watts (KWW) function, for small time arguments. Cole–Cole...
Rank–size distribution
a power law distribution, or less well-known ones such as a stretched exponential function or parabolic fractal distribution, at least approximately for...
Gamma function
The gamma function is related to the stretched exponential function. For instance, the moments of that function are ⟨ τ n ⟩ ≡ ∫ 0 ∞ t n − 1 e − ( t τ...
Havriliak–Negami relaxation
spectra. Depending on application, the Fourier transform of the stretched exponential function can be a viable alternative that has one parameter less. For...
Weibull distribution
distribution. Its complementary cumulative distribution function is a stretched exponential function. The Weibull distribution is related to a number of other...
Dielectric
asymmetric broadening. Kohlrausch–Williams–Watts function Fourier transform of stretched exponential function. Curie–von Schweidler law This shows the response...
David C. Watts
is the co-discoverer of the Kohlrausch-Williams-Watts [KWW] stretched-exponential function for modelling molecular-relaxation processes in condensed media...
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