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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[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and [delta] being the Dirac delta distribution.
Here i is the imaginary unit ([i.sup.2] = -1); [member of] > 0 and [mu] > 0 are given constants characterizing the permittivity and permeability of the electromagnetic medium, which is located inside [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] are the basis vectors from Euclidean space [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is the 3D parameter; [delta](x -[x.sup.0]) = [delta](x 1 - [x.sup.0.sub.1])[delta]([x.sub.2] - [x.sup.0.sub.2])[delta]([x.sub.3] - [x.sup.0.sub.3]), and [delta]([x.sub.j] - [x.sup.0.sub.j]) are the Dirac delta distribution concentrated at [x.sub.j] = [x.sup.0.sub.j] and j = 1, 2, 3; [??] is an outward unit normal vector on [GAMMA].
The Regularization of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] be the Dirac delta distribution.
This work deals with the analysis and the complete physical interpretation of the Dirac delta distribution in a specific problem.
This paper deals with the analysis of the Dirac delta distribution of complex argument in an electrostatic problem.