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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Subset optimization with composite aggregate functions
I have a finite set $P = \{1, 5, 3, 6, 4, ..., p_n\}$ of size $N$ and average $A$.
I want to find the most efficient way to maximize the following function:
$$
f(x, y) = \frac{1}{(1+e^{-6(x-2)})(1+e …