Operations on it (like 1/oo), but it is easy to get into trouble and get Truly makes sense formally in certain contexts (such as integration limits),īut SymPy allows its use everywhere, and it tries to be consistent with
It can often be useful to treatĭiracDelta in formal ways, building up and manipulating expressions withĭelta functions (which may eventually be integrated), but care must be taken Formally,ĭiracDelta acts in some ways like a function that is 0 everywhere exceptĪt 0, but in many ways it also does not.
Where it equals f(x0) if a <= x0 <= b and 0 otherwise. Integrals of the form Integral(f(x)*DiracDelta(x - x0), (x, a, b)), It can be rigorously defined eitherĭiracDelta only makes sense in definite integrals, and in particular, The DiracDelta function and its derivatives.ĭiracDelta is not an ordinary function. Toggle table of contents sidebar Special # DiracDelta # class _functions.
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