I described here a strange type of function, that is nowhere continuous but relatively easy to integrate using probabilistic arguments. I call it the fractional part of parameter p of a function g(x), and it is denoted as g(x, p). We focus here on g(x) = exp(x). It is obtained by removing a number of terms (usually infinitely many) in the Taylor series of g(x). For instance, by removing all terms…
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