![]() The second of these is the most general as any of the others is an example of it when using the point measure. The characteristic functions of singleton sets,.In conclusion, there are three families of "functions" here: ![]() ![]() So in this case, for a singleton set, the characteristic function and the delta function agree. But I really shouldn't have used delta functions at all, I should have said: v = characteristic_function(. ![]() The Kronecker delta would have been slightly more appropriate, but not by much as I wanted something that was domain-independent (the Kronecker delta is mainly used just for integers). Implies that the most accurate solution is: v = dirac_delta(0,v)įirst, the confession: I did get my delta functions confused. If it's 0, I want to set it to 1, else set it to 0. ![]() The wording of this part of the specification: However, the comments are making it clear that I should be clear to avoid misunderstanding.) I held off as long as possible because it was intended as a short quip and not as anything "deep" so putting in any explanation seemed counter to the purpose. ( Honesty and mathematical integrity - given the number of votes on this "answer" - have led me to edit this answer. ![]()
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