Dirac delta
(0.002 seconds)
1—10 of 16 matching pages
1: 1.17 Integral and Series Representations of the Dirac Delta
§1.17 Integral and Series Representations of the Dirac Delta
… ►In applications in physics and engineering, the Dirac delta distribution (§1.16(iii)) is historically and customarily replaced by the Dirac delta (or Dirac delta function) . This is an operator with the properties: …Such a sequence is called a delta sequence and we write, symbolically, … ►2: 33.1 Special Notation
3: 2.6 Distributional Methods
…
►The Dirac delta distribution in (2.6.17) is given by
►
2.6.19
;
…
►Since , it follows that for ,
►
2.6.38
.
…
►
2.6.41
…
4: 1.16 Distributions
…
►
§1.16(iii) Dirac Delta Distribution
… ►The Dirac delta distribution is singular. … ►
1.16.39
…
►
1.16.40
…
►
1.16.43
…
5: 33.14 Definitions and Basic Properties
…
►The function has the following properties:
►
33.14.13
,
►where the right-hand side is the Dirac delta (§1.17).
…
6: 18.36 Miscellaneous Polynomials
…
►These are OP’s on the interval with respect to an orthogonality measure obtained by adding constant multiples of “Dirac delta weights” at and to the weight function for the Jacobi polynomials.
…
7: 18.1 Notation
8: 10.59 Integrals
…
►For an integral representation of the Dirac delta in terms of a product of spherical Bessel functions of the first kind see §1.17(ii), and for a generalization see Maximon (1991).
…
9: 20.13 Physical Applications
10: Mathematical Introduction
…
►These include, for example, multivalued functions of complex variables, for which new definitions of branch points and principal values are supplied (§§1.10(vi), 4.2(i)); the Dirac delta (or delta function), which is introduced in a more readily comprehensible way for mathematicians (§1.17); numerically satisfactory solutions of differential and difference equations (§§2.7(iv), 2.9(i)); and numerical analysis for complex variables (Chapter 3).
…