Question

Assymptotics of the generalized harmonic number $H_{n,r}$ for $r < 1$

score 3.1k · Answer 1 · 2026-03-29 14:20:09

3.1k

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Assymptotics of the generalized harmonic number $H_{n,r}$ for $r < 1$

Published on 29 Mar 2026 - 14:20

score 510 · Answer 2 · 2026-03-31 14:25:03

510

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Relationship between short-time and large-frequency asymptotics in Fourier transform

Published on 31 Mar 2026 - 14:25

score 81 · Answer 3 · 2026-04-09 23:37:39

81

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Asymptotics relationship from algebraic identity?

Published on 09 Apr 2026 - 23:37

score 742 · Answer 4 · 2026-04-12 02:08:20

742

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What is known about the 'Double log Eulers constant', $\lim_{n \to \infty}{\sum_{k=2}^n\frac{1}{k\ln{k}}-\ln\ln{n}}$?

Published on 12 Apr 2026 - 2:08

score 1.9k · Answer 5 · 2015-12-21 16:08:54

1.9k

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Marginal convergence in distribution implies joint convergence of a subsequence?

Published on 21 Dec 2015 - 16:08

score 61 · Answer 6 · 2026-04-15 02:40:22

61

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Is Stirling's Approximation used here, to prove the asymptotic inequalities?

Published on 15 Apr 2026 - 2:40

score 166 · Answer 7 · 2026-03-28 20:14:24

166

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Prove that $\cosh^{-1}(1+x)=\sqrt{2x}(1-\frac{1}{12}x+\frac{3}{160}x^2-\frac{5}{896}x^3+....)$

Published on 28 Mar 2026 - 20:14

score 24 · Answer 8 · 2026-04-08 22:30:49

24

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Behaviour a function when input is small

Published on 08 Apr 2026 - 22:30

score 97 · Answer 9 · 2026-03-27 23:17:25

97

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Solving for a $v$ in $\sum a_i e^{b_i (z^2+d_i) + c_i v}$

Published on 27 Mar 2026 - 23:17

score 165 · Answer 10 · 2026-04-17 08:45:59

165

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$2^{O(\log \log n)} = O(\log n)$ prove or disprove

Published on 17 Apr 2026 - 8:45

score 54 · Answer 11 · 2026-04-16 05:50:28

54

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What is $\|\Phi x\|_2^2$ given that $\Phi\in R^{d\times d}$ is an $m$-dimensional orthogonal projection matrix uniformly drawn at random?

Published on 16 Apr 2026 - 5:50

score 296 · Answer 12 · 2026-04-17 14:22:24

296

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Asymptotic expansion at order 2 of $\int_0^1 \frac{x^n}{1+x} \, dx$

Published on 17 Apr 2026 - 14:22

score 107 · Answer 13 · 2026-04-14 00:25:08

107

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Asymptotic behaviour of mean absorption time at the Moran model

Published on 14 Apr 2026 - 0:25

score 162 · Answer 14 · 2026-04-10 17:02:36

162

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Difference between being asymptotic and equivalent?

Published on 10 Apr 2026 - 17:02

score 193 · Answer 15 · 2026-04-17 13:29:59

193

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$\lim_{x \to c} f-g=0\iff f \sim g$?

Published on 17 Apr 2026 - 13:29

List Question

Assymptotics of the generalized harmonic number $H_{n,r}$ for $r < 1$

Relationship between short-time and large-frequency asymptotics in Fourier transform

Asymptotics relationship from algebraic identity?

What is known about the 'Double log Eulers constant', $\lim_{n \to \infty}{\sum_{k=2}^n\frac{1}{k\ln{k}}-\ln\ln{n}}$?

Marginal convergence in distribution implies joint convergence of a subsequence?

Is Stirling's Approximation used here, to prove the asymptotic inequalities?

Prove that $\cosh^{-1}(1+x)=\sqrt{2x}(1-\frac{1}{12}x+\frac{3}{160}x^2-\frac{5}{896}x^3+....)$

Behaviour a function when input is small

Solving for a $v$ in $\sum a_i e^{b_i (z^2+d_i) + c_i v}$

$2^{O(\log \log n)} = O(\log n)$ prove or disprove

What is $\|\Phi x\|_2^2$ given that $\Phi\in R^{d\times d}$ is an $m$-dimensional orthogonal projection matrix uniformly drawn at random?

Asymptotic expansion at order 2 of $\int_0^1 \frac{x^n}{1+x} \, dx$

Asymptotic behaviour of mean absorption time at the Moran model

Difference between being asymptotic and equivalent?

$\lim_{x \to c} f-g=0\iff f \sim g$?

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