variable] (var) is the value of

Gaussian function for variable var according to Eq.

1) An appropriate width r of the

Gaussian function is chosen.

Here also, one can see that the fit to a 2D

Gaussian function (red curve in Fig.

Whittaker in his seminal paper [30] proposed a class of multipliers that contains the

Gaussian function as a special case.

It was also suggested that the distribution of the reflecting light intensity from surface roughness is a

Gaussian function (Zhao et al.

j] = the central value of the

Gaussian function, [[sigma].

Applied to the present data set, the

Gaussian function yields an initial annual growth rate [DELTA]J=2.

We have emulated its performance by convolving the NIR spectra with a

Gaussian function representing the filter spectral transmission.

It is a particular network architecture which uses l numbers of

Gaussian function of the form

2](R) in case of a

Gaussian function or a B-spline [psi] (see Section 6.

ij]) of a cohort was obtained using a

Gaussian function of the form:

E] for every channel in the spectrum, the result is convolved with a

Gaussian function where fwhm varies according to the detector resolution as a function of energy (see Sec.

which may be called a

Gaussian function since, apart from a normalization, it describes the Gaussian probability distribution.

t](xi]) with this

Gaussian function and the random measuring errors.

Key words and phrases :

Gaussian function, Jacobi theta-functions, generator, dual function, interpolating function, interpolation theorem, Gauss transform, exponential Sobolev space, sampling theorem