We are looking at the possibility that these distributions for the individual central collisions are Gaussian distributions
as suggested by the original hydrodynamic model.
(2) The Gaussian distribution
curve can also be applied to the heave deformation caused by tunneling.
In the DPFF, the posterior distribution is approximated by a particle set [mathematical expression not reproducible] which is sampled from Gaussian distribution
N(*, [bar.[mu]](k - 1), [bar.P](k - 1)) with same weights [w.sup.i.sub.k-1] = 1/[N.sub.p] .
Caption: Figure 6: SFD defined by family of the triangular FDs: (a) family of the triangular FDs, (b) the parameters of SFD defined by Gaussian distribution
: any triangular FD in the family can be calculated by the Gaussian distribution
Liang, "Modeling and analysis of wireless channels via the mixture of Gaussian distribution
", IEEE Trans.
For an image, the Gaussian distribution
describes the distribution of specific pixel brightness that reflects the frequency of some gray numerical value .
If [alpha] = 2, X is Gaussian distribution
; if [alpha] [member of] (0, 2), X is non-Gaussian fractional lower order distribution.
When L [much greater than] 1, CLT assumption can be invoked and the Gaussian distribution
is used to approximate this pdf in .
Using the Heavside function [H.sub.[epsilon]], the global Gaussian distribution
fitting energy function can be rewritten as follows:
Huber, "Assessment of the coherent potential approximation for the absorption spectra of a one-dimensional Frenkel exciton system with a Gaussian distribution
of fluctuations in the optical transition frequency," Physica E: Low-Dimensional Systems and Nanostructures, vol.
To acquire the sparse solution, make [[omega].sub.j] become the Gaussian distribution
with mean value 0, namely: