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Results tagged with asymptotics
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user 25899
Asymptotic behavior of functions, asymptotic series and related topics
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On bounding the average cost of top-down merge sort
Let $A_n$ be the average number of comparisons to sort $n$ keys by merging them in a top-down fashion (see any algorithm textbook). It can he shown that
$$
A_0 = A_1 = 0;\quad A_n = A_{\lfloor{n/2}\rf …
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