variable] (var) is the value of Gaussian function
for variable var according to Eq.
1) An appropriate width r of the Gaussian function
Here also, one can see that the fit to a 2D Gaussian function
(red curve in Fig.
Whittaker in his seminal paper  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
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