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Which techniques lead to which kinds of bounds?
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[QUICK DESCRIPTION] How can a proof ever give a strange-looking bound like $n\exp(-c\sqrt{\log n})$? This is a good question, and getting to know the answer to it for this and other bounds is an important part of the know-how of mathematicians who deal with estimates. Here are links to articles that discuss how various different functions can occur as the end results of proofs. This article is closely related to an article about [[What a lower bound can say about the proof of the upper bound|what a lower bound can say about potential proofs of the upper bound]]. === Kinds of bounds === [[Linear bounds]] [[Quadratic bounds and square roots]] [[Why do power-type bounds arise?]] [[Exponential and logarithmic bounds]] [[nlogn-type bounds|$n\log n$-type bounds]] [[Double exponential and loglog bounds]] [[Extra logarithmic factors]] [[How does a bound of exp(c(log n)^{1/2}) ever arise?|$\exp(c\sqrt{\log n})$-type bounds]] [[Tower-type bounds]] [[Ackermann-type bounds]]
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