Dirac delta function

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Dirac delta function

[di′rak ′del·tə ‚fəŋk·shən]
(mathematics)
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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We want to extend our recent papers [18-21] to relativistic form as well as having a study of scattering by double Dirac delta potential.
where f is a function of the position vector x and [delta] (x - x') is the Dirac delta function.
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]) [5], [[tau].sub.i] denotes the time delay for the ith multipath component, and [delta] represents the Dirac delta function.
He observed that his model fills the gap between Bailey's simple stochastic epidemic model [13] (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 [12] (when the functions f(t) and g(t) are Dirac delta functions).
The Fixed End Supported Beam Applied by a Dirac Delta Function.
For instance, comparing Jaeger's model with Samara-Valencia model, a new Dirac delta representation [8],
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.
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.