List questions from asymptotics

Published on 19 Mar 2026 - 23:19

69

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Exponents and O notation

Published on 29 Jan 2018 - 18:47

71

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Explaining the Upper-bound for Big-O (e.g. O(n))?

Published on 29 Jan 2018 - 22:58

137

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Proof of asymptotics of a recursion or functional equation

Published on 24 Mar 2026 - 22:09

416

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Nested logarithm sequence $a_{n+1}=a_n+\log a_n$, growth rate

Published on 30 Jan 2018 - 10:19

113

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Constant related to $f(n) = f(n-1) + \frac{1}{n f(n-1)}$

Published on 20 Mar 2026 - 0:59

179

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Asymptotic distribution of correlation coefficient

Published on 30 Jan 2018 - 13:07

121

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Behavior of a sum on the boundary of convergence/divergence

Published on 23 Mar 2026 - 14:07

49

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Find a continuous function, over the unit interval, satisfying $\int_0^x f(u)du\geq \sum_{n=1}^\infty\frac{\mu(n)}{n^2}x^{n-1}$ for each $ x\in[0,1]$

Published on 22 Mar 2026 - 17:38

46

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Question regarding the $\mathcal{O}$ notation used on constant functions

Published on 22 Mar 2026 - 16:41

1.1k

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Prove the slope of the asymptote of a hyperbola

Published on 22 Mar 2026 - 17:29

436

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Solve an equation; big-O notation

Published on 02 Feb 2018 - 7:19

84

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Determining order class of $T(n) = n\cdot T(\frac{n}{2}) + 1$ with $T(1) = 1$

Published on 02 Feb 2018 - 23:25

93

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About an equivalent of $\displaystyle \int_{0}^{+\infty}\frac{\text{d}x}{\left(\alpha^2+x^2\right)^n}$ [ Checking a result ]

Published on 03 Feb 2018 - 0:17

572

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Asymptotic equivalent of $\sum_{n\ge0} q^{n^2}{x^n}$ as $x\to+\infty$

Published on 19 Mar 2026 - 14:06

List Question

Relation between (non-random) Big O and probability little o

Exponents and O notation

Explaining the Upper-bound for Big-O (e.g. O(n))?

Proof of asymptotics of a recursion or functional equation

Nested logarithm sequence $a_{n+1}=a_n+\log a_n$, growth rate

Constant related to $f(n) = f(n-1) + \frac{1}{n f(n-1)}$

Asymptotic distribution of correlation coefficient

Behavior of a sum on the boundary of convergence/divergence

Find a continuous function, over the unit interval, satisfying $\int_0^x f(u)du\geq \sum_{n=1}^\infty\frac{\mu(n)}{n^2}x^{n-1}$ for each $ x\in[0,1]$

Question regarding the $\mathcal{O}$ notation used on constant functions

Prove the slope of the asymptote of a hyperbola

Solve an equation; big-O notation

Determining order class of $T(n) = n\cdot T(\frac{n}{2}) + 1$ with $T(1) = 1$

About an equivalent of $\displaystyle \int_{0}^{+\infty}\frac{\text{d}x}{\left(\alpha^2+x^2\right)^n}$ [ Checking a result ]

Asymptotic equivalent of $\sum_{n\ge0} q^{n^2}{x^n}$ as $x\to+\infty$

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