Question

Prove that $\{\|f_n\|_2\}_{n=1}^\infty$ is a bounded sequence of real numbers

score 41 · Answer 1 · 2026-03-26 13:01:02

41

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Prove that $\{\|f_n\|_2\}_{n=1}^\infty$ is a bounded sequence of real numbers

Published on 26 Mar 2026 - 13:01

score 313 · Answer 2 · 2026-04-12 09:56:36

313

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What is inclusion relation between $L^p$ Sobolev spaces

Published on 12 Apr 2026 - 9:56

score 53 · Answer 3 · 2026-04-09 23:57:19

53

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Integration of Lambert W function logarithm.

Published on 09 Apr 2026 - 23:57

score 140 · Answer 4 · 2026-04-10 21:20:10

140

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Problem on Liouville's Theorem on approximation

Published on 10 Apr 2026 - 21:20

score 91 · Answer 5 · 2026-04-12 19:21:06

91

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Interchanging limits in a special case

Published on 12 Apr 2026 - 19:21

score 645 · Answer 6 · 2026-04-12 19:47:23

645

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Convergence of series of symmetric random variables

Published on 12 Apr 2026 - 19:47

score 143 · Answer 7 · 2026-03-24 19:08:41

143

Views

Indefinite integral involving the Lambert W or product log function.

Published on 24 Mar 2026 - 19:08

score 40 · Answer 8 · 2026-04-09 06:39:47

40

Views

Path integral on $\mathbb C\setminus(-\infty,-1]$

Published on 09 Apr 2026 - 6:39

score 46 · Answer 9 · 2018-04-29 20:01:35

46

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Calculating the area between a curve and an axis

Published on 29 Apr 2018 - 20:01

score 46 · Answer 10 · 2026-03-25 17:42:20

46

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$\int_{\mathbb{T}} f(x) dx = \int_{\mathbb{T}} f(x-x_0) dx$ for $f \in C_0^{\infty}( \omega), \omega\subset \mathbb{T}$?

Published on 25 Mar 2026 - 17:42

score 421 · Answer 11 · 2018-04-29 22:04:43

421

Views

Show that $\lim_{x\to \infty} \frac{f(cx)}{f(x)}=1, ∀c>0$.

Published on 29 Apr 2018 - 22:04

score 97 · Answer 12 · 2026-04-12 11:52:07

97

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Question about Conditional Expectation and Brownian Motion

Published on 12 Apr 2026 - 11:52

score 212 · Answer 13 · 2026-04-09 00:49:00

212

Views

In Principles of Mathematical Analysis, why does Rudin define derivatives in terms of closed intervals?

Published on 09 Apr 2026 - 0:49

score 43 · Answer 14 · 2018-04-30 04:52:47

If for each neighborhood $U$ of $x_0$ there exists $x\in U$ such that $f(x)=f(x_0)$, then $f'(x_0)=0$ or $f'(x_0)$ does not exist.

score 363 · Answer 15 · 2026-04-12 12:50:27

363

Views

$L^p$ convergence of composition

Published on 12 Apr 2026 - 12:50

List Question

Prove that $\{\|f_n\|_2\}_{n=1}^\infty$ is a bounded sequence of real numbers

What is inclusion relation between $L^p$ Sobolev spaces

Integration of Lambert W function logarithm.

Problem on Liouville's Theorem on approximation

Interchanging limits in a special case

Convergence of series of symmetric random variables

Indefinite integral involving the Lambert W or product log function.

Path integral on $\mathbb C\setminus(-\infty,-1]$

Calculating the area between a curve and an axis

$\int_{\mathbb{T}} f(x) dx = \int_{\mathbb{T}} f(x-x_0) dx$ for $f \in C_0^{\infty}( \omega), \omega\subset \mathbb{T}$?

Show that $\lim_{x\to \infty} \frac{f(cx)}{f(x)}=1, ∀c>0$.

Question about Conditional Expectation and Brownian Motion

In Principles of Mathematical Analysis, why does Rudin define derivatives in terms of closed intervals?

If for each neighborhood $U$ of $x_0$ there exists $x\in U$ such that $f(x)=f(x_0)$, then $f'(x_0)=0$ or $f'(x_0)$ does not exist.

$L^p$ convergence of composition

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