A test function as part of the integrand is required to prove any delta function identity With this in mind (a) Prove that (ax) 1 a (x), a 0 (b) Use the identity in part (a) to prove that (c) Confirm that 8 g(x) m 1 g'(xm) 8(x xm), where g(x) 0 and g'(xm) 0 ...

a Let x be an arbitrary function Then if a 0 a change of ...

A test function as part of the integrand is required to prove any delta function identity. With

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A test function as part of the integrand is required to prove any delta function identity. With this in mind:

(a) Prove that δ(ax) = 1/|a|δ(x), a ≠ 0.

(b) Use the identity in part (a) to prove that

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Modern Electrodynamics

ISBN: 9780521896979

1st Edition

Authors: Andrew Zangwill

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Question Posted: Feb 02, 2023 01:17 AM

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A test function as part of the integrand is required to prove any delta function identity. With

Question:

8[g(x)] = [ m 1 [g'(xm)| 8(x - xm), where g(x) = 0 and g'(xm) 0.

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a Let x be an arbitrary function Then if a 0 a change of ...View the full answer

Modern Electrodynamics

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