Question

Pointwise convergence does not imply uniform convergence: understand this using limit definition

score 113 · Answer 1 · 2026-04-11 21:16:15

113

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Pointwise convergence does not imply uniform convergence: understand this using limit definition

Published on 11 Apr 2026 - 21:16

score 61 · Answer 2 · 2026-04-13 14:16:40

61

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How small can we make an integer-valued sequence?

Published on 13 Apr 2026 - 14:16

score 51 · Answer 3 · 2026-04-16 23:49:24

51

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How fast does $\int_{1 \leq |x| \leq 2}\frac{1}{(1 + N|x_1|)^{10} (1 + |x_2|)^{10}}\, dx$ decay?

Published on 16 Apr 2026 - 23:49

score 457 · Answer 4 · 2026-04-14 07:49:01

457

Views

Asymptotics of functions involving square roots

Published on 14 Apr 2026 - 7:49

score 456 · Answer 5 · 2026-04-16 14:30:12

456

Views

asymptotic of graph equation

Published on 16 Apr 2026 - 14:30

score 936 · Answer 6 · 2026-04-16 06:26:36

936

Views

What is the order of an algorithm? Are these of same order $2^n$ and $3^n$

Published on 16 Apr 2026 - 6:26

score 147 · Answer 7 · 2026-04-10 00:11:35

147

Views

Big O notation meaning

Published on 10 Apr 2026 - 0:11

score 29 · Answer 8 · 2026-04-14 20:01:13

29

Views

How to find an upper bound for an asymptotic relation $\frac{\epsilon}{\delta^{2}}$ using that $\delta \ll \epsilon^{2}$?

Published on 14 Apr 2026 - 20:01

score 54 · Answer 9 · 2026-04-16 11:05:28

Can one have $f(n)\sim \frac{a}{\sqrt{n}}$ as $n\to\infty$ but $\frac{f(n-1)}{f(n)}= 1+\frac{k}{n}+O\left(\frac1{n^2}\right) $ with $k\neq\frac12$?

score 48 · Answer 10 · 2026-04-13 20:23:46

48

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What's about the convergence of $\sum_{n=1}^\infty\frac{\mu(n)\pi_2(n)}{n^2}$, on assumption of the Twin Prime Conjecture?

Published on 13 Apr 2026 - 20:23

score 56 · Answer 11 · 2026-04-14 18:32:11

56

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How to asymptotically approximate the integral $\int_{t_{1}}^{t_{2}} H(t)F(t) dt$?

Published on 14 Apr 2026 - 18:32

score 425 · Answer 12 · 2026-04-11 01:00:49

425

Views

Probability and Big-O notation

Published on 11 Apr 2026 - 1:00

score 138 · Answer 13 · 2026-04-10 03:39:22

138

Views

Alternate asymptotics for the Harmonic Numbers

Published on 10 Apr 2026 - 3:39

score 32 · Answer 14 · 2026-04-08 10:27:09

32

Views

$\Omega$ definition

Published on 08 Apr 2026 - 10:27

score 445 · Answer 15 · 2026-04-13 05:04:54

445

Views

Asymptotic behaviour of $\omega(n)$

Published on 13 Apr 2026 - 5:04

List Question

Pointwise convergence does not imply uniform convergence: understand this using limit definition

How small can we make an integer-valued sequence?

How fast does $\int_{1 \leq |x| \leq 2}\frac{1}{(1 + N|x_1|)^{10} (1 + |x_2|)^{10}}\, dx$ decay?

Asymptotics of functions involving square roots

asymptotic of graph equation

What is the order of an algorithm? Are these of same order $2^n$ and $3^n$

Big O notation meaning

How to find an upper bound for an asymptotic relation $\frac{\epsilon}{\delta^{2}}$ using that $\delta \ll \epsilon^{2}$?

Can one have $f(n)\sim \frac{a}{\sqrt{n}}$ as $n\to\infty$ but $\frac{f(n-1)}{f(n)}= 1+\frac{k}{n}+O\left(\frac1{n^2}\right) $ with $k\neq\frac12$?

What's about the convergence of $\sum_{n=1}^\infty\frac{\mu(n)\pi_2(n)}{n^2}$, on assumption of the Twin Prime Conjecture?

How to asymptotically approximate the integral $\int_{t_{1}}^{t_{2}} H(t)F(t) dt$?

Probability and Big-O notation

Alternate asymptotics for the Harmonic Numbers

$\Omega$ definition

Asymptotic behaviour of $\omega(n)$

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