Question

$B=\{t\in[-T,T]:|f(\sigma+it)|>\ell\}$, does it hold that $|B|>\epsilon 2T$

score 46 · Answer 1 · 2026-05-03 07:24:28

46

Views

$B=\{t\in[-T,T]:|f(\sigma+it)|>\ell\}$, does it hold that $|B|>\epsilon 2T$

Published on 03 May 2026 - 7:24

score 86 · Answer 2 · 2026-04-12 12:07:20

86

Views

How do these two results not conflict with each other?

Published on 12 Apr 2026 - 12:07

score 1.7k · Answer 3 · 2026-05-10 13:51:19

1.7k

Views

Necessary and sufficient conditions for Riemann integral of $f: E\subset \mathbb{R}^n \to E$ exists, where $E$ is and subset of $\mathbb{R}^n$

Published on 10 May 2026 - 13:51

score 3.4k · Answer 4 · 2026-04-12 04:28:37

3.4k

Views

A confusion about the definition of Jordan measurable set

Published on 12 Apr 2026 - 4:28

score 83 · Answer 5 · 2026-05-10 13:51:34

83

Views

Prove that $\lim_{n\to \infty} [\int_E f^n (x) dx)]^{1/n} = M$ where $M = \sup_{x\in E} f (x)$

Published on 10 May 2026 - 13:51

score 79 · Answer 6 · 2026-04-15 06:45:14

79

Views

Let $E \subseteq \mathbb{R}^n$, and $f \in R(E)$, then is the fact that $f$ is continuous on $E$ implies $\mu(E) > 0$?

Published on 15 Apr 2026 - 6:45

score 285 · Answer 7 · 2026-05-02 20:09:52

285

Views

Example of sets that are not measurable?

Published on 02 May 2026 - 20:09

score 974 · Answer 8 · 2026-04-13 21:10:37

974

Views

Does homeomorphism on $\mathbb R^n$ preserves Lebesgue measurability?

Published on 13 Apr 2026 - 21:10

score 96 · Answer 9 · 2026-05-05 04:16:25

96

Views

Measuring a non-measurable set with probability?

Published on 05 May 2026 - 4:16

score 71 · Answer 10 · 2026-04-29 12:55:54

71

Views

A confusion about find the boundary of a set $E = D \times E_x$, where $D \subseteq \mathbb{R}^n $ and $E \subseteq \mathbb{R}^1 $

Published on 29 Apr 2026 - 12:55

score 65 · Answer 11 · 2026-04-29 12:42:46

65

Views

Does the sum $\sum_{n=1}^{\infty}\frac{1}{2^k \cdot |x-r_k|^\frac{1}{2}}$ coverges a.e?

Published on 29 Apr 2026 - 12:42

score 2.8k · Answer 12 · 2026-04-29 15:54:58

2.8k

Views

Is there any example for $f: I\to \mathbb{R}^n$ both the iterated integrals in Fubini's theorem exists and are equal, yet $f \not \in R(I)$

Published on 29 Apr 2026 - 15:54

score 201 · Answer 13 · 2026-04-13 23:05:04

201

Views

About the set of density points of given sets, for the Lebesgue measure on the line and on the plane

Published on 13 Apr 2026 - 23:05

score 146 · Answer 14 · 2026-04-12 06:49:18

146

Views

Estimating the measure of a sum of subsets

Published on 12 Apr 2026 - 6:49

score 23 · Answer 15 · 2026-04-17 15:54:33

23

Views

compute the measure $ \large \ m_{*} (\mathbb{Q}^d \cap [0,1]^d) \ $

Published on 17 Apr 2026 - 15:54

List Question

$B=\{t\in[-T,T]:|f(\sigma+it)|>\ell\}$, does it hold that $|B|>\epsilon 2T$

How do these two results not conflict with each other?

Necessary and sufficient conditions for Riemann integral of $f: E\subset \mathbb{R}^n \to E$ exists, where $E$ is and subset of $\mathbb{R}^n$

A confusion about the definition of Jordan measurable set

Prove that $\lim_{n\to \infty} [\int_E f^n (x) dx)]^{1/n} = M$ where $M = \sup_{x\in E} f (x)$

Let $E \subseteq \mathbb{R}^n$, and $f \in R(E)$, then is the fact that $f$ is continuous on $E$ implies $\mu(E) > 0$?

Example of sets that are not measurable?

Does homeomorphism on $\mathbb R^n$ preserves Lebesgue measurability?

Measuring a non-measurable set with probability?

A confusion about find the boundary of a set $E = D \times E_x$, where $D \subseteq \mathbb{R}^n $ and $E \subseteq \mathbb{R}^1 $

Does the sum $\sum_{n=1}^{\infty}\frac{1}{2^k \cdot |x-r_k|^\frac{1}{2}}$ coverges a.e?

Is there any example for $f: I\to \mathbb{R}^n$ both the iterated integrals in Fubini's theorem exists and are equal, yet $f \not \in R(I)$

About the set of density points of given sets, for the Lebesgue measure on the line and on the plane

Estimating the measure of a sum of subsets

compute the measure $ \large \ m_{*} (\mathbb{Q}^d \cap [0,1]^d) \ $

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