Kudos for making the d in dx upright
The Dirac Delta can be seen as a continuous generalization of the Kronecker Deltapic.twitter.com/wnJDykOglK
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\newcommand{\dd}{\mathrm{d}}
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I think the dirac delta is the biggest pseudo-math I've ever seen. I still don't believe this is valid.
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what in particular is your objection? there's many ways to define it rigorously
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Green's function is a functional version of inverse matrix.
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Convolution?
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That's so such an uncannily "physicist" way to see it
It feels so obvious but mathematically sooo imprecise it hurts a little...Thanks. Twitter will use this to make your timeline better. UndoUndo
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Regarding the Kronecker Delta: it is more common to do a summation (the Einstein summation convention) over 1) positive 2) integer but 3) finite (valued) indices. But can imagine that these also can be negative. δ_(-1,-1)=1 but: δ_(∞,∞) etc are IMHO ill defined...
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In terms of their defintion and application domain, I think they are different. Their normalizations are different.
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