Superpolylogarithmic subexponential functions! Faster than a polylog but slower than exponential. Even though they're hard to say, they're truly quintessential. Superpolylogarithmic subexponential functions! Sherman, 1991 (I remember the original paper, I am that old!)
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log(n^log(n)) has the same shape and grows even slower.
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wouldn't that just be log²(n) ?
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Thank god, I’ve been looking everywhere for one of these
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e^{√n} is another example
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Exp(sqrt n) is one that turns up in several contexts.
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Is it integrable ?
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Why would it be? It goes to +∞ as n does.
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