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Topic: Delta functions.
Replies: 14   Last Post: Apr 22, 2013 8:58 AM

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Waldek Hebisch

Posts: 267
Registered: 12/8/04
Delta functions.
Posted: Apr 13, 2013 12:02 PM
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Using delta functions can lead to problems with zero divisors.
For example in Maple I get:

> (x - 4)*Dirac(x - 4);
(x - 4) Dirac(x - 4)

> simplify((x - 4)*Dirac(x - 4));

> (x - 4)*Dirac(x - 4)/(x-4);
Dirac(x - 4)

which is clearly inconsistent. I wonder I there is any theory
how to avoid such problems? I mean, what CAS can do to
protect users from wrong results?

Waldek Hebisch

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