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 [24].

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 [13].

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: