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asymptotic complexity of functions

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#calculus #asymptotics #computer-science
51
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Find the minimum value of $n$ such that $\sin^n(c)<\varepsilon$ for some small constant $\varepsilon>0$

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#trigonometry #asymptotics #computer-science
78
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How to find $s(\exp(d(x)))$ ~ $ x + 2 $?

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#calculus #limits #asymptotics #exponential-function #function-and-relation-composition
1.6k
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Calculating Running Time of Recurrence Relations

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#recurrence-relations #asymptotics #recursive-algorithms
89
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Asymptotic Proof

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#asymptotics
225
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Mertens' function

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#number-theory #asymptotics
453
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Asymptotic-Proof

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#asymptotics
102
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Solving equations recursively

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#asymptotics #recursion
71
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How rapidly does $\Gamma(x)$ diverge as $x$ approaches $0$?

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#real-analysis #asymptotics #gamma-function
720
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Asymptotic behavior of the confluent hypergeometric function

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#analysis #asymptotics #improper-integrals
51
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Is this statement correct $f(n) = \theta(n) \land g(n) = \Omega(n) \Longrightarrow f(n)g(n) = \Omega(n^2)$?

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#logic #asymptotics
46
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Biggest rate of growth of a sequence in $ℓ^2$

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#sequences-and-series #asymptotics
3.7k
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Which way is best to solve: $T(n)=5T(n/5) + n\;?$

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#notation #asymptotics #computability #recursion
3.8k
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Number of distinct prime divisors of an integer $n$ is $O(\log n/\log\log n)$

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#prime-numbers #asymptotics #analytic-number-theory
44
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How to show $n \sum_{k>n} (k^2 \log k)^{-1} \sim (\log n)^{-1}$?

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#real-analysis #sequences-and-series #asymptotics

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