We want to extend our recent papers [18-21] to relativistic form as well as having a study of scattering by double Dirac delta
where f is a function of the position vector x and [delta] (x - x') is the Dirac delta
In (5), [[delta].sub.[epsilon]] ([phi]) is a smooth version of the Dirac delta
function, which is defined as
where [L.sub.P] is the number of the multipath components, [mathematical expression not reproducible] is the complex fading coefficient of the ith multipath component, [absolute value of [a.sub.i]] presents the amplitude, [[phi].sub.i] means the phase and obeys a uniform distribution U(0, 2[pi]) , [[tau].sub.i] denotes the time delay for the ith multipath component, and [delta] represents the Dirac delta
He observed that his model fills the gap between Bailey's simple stochastic epidemic model  (which is obtained as a special case of Kermack and McKendrik's model when the infectivity parameters f(t) and g(t) are constants) and the Reed-Frost model  (when the functions f(t) and g(t) are Dirac delta
The Fixed End Supported Beam Applied by a Dirac Delta
For instance, comparing Jaeger's model with Samara-Valencia model, a new Dirac delta
where [delta](x), [delta](y) -- Dirac delta
If [LSF.sub.T] is narrow compared with the slit width or ideally close to a Dirac delta
function, then the SRF approximates to a triangle function with a bandwidth (FWHM, Full Width at Half Maximum) equivalent to a in image plane coordinate.
Of course, if [alpha] is the Dirac delta
function, (2) reduces to the classical constitutive equation of a hyperelastic material.
The result indicates that the radio emissions by the nonlinearly oscillating neutron star are periodically pulse-like radiation with the Dirac delta
shape, which is consistent with the general observations of pulsars.
where [delta](x) is the Dirac delta
function, and f is a given function such that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] for some positive constant c.