Question

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

score 34 · Answer 1 · 2026-03-20 08:13:02

34

Views

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

Published on 20 Mar 2026 - 8:13

score 83 · Answer 2 · 2018-02-02 07:10:11

83

Views

How do these two results not conflict with each other?

Published on 02 Feb 2018 - 7:10

score 1.6k · Answer 3 · 2018-02-02 07:58:22

1.6k

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 02 Feb 2018 - 7:58

score 3.4k · Answer 4 · 2018-02-02 08:59:56

3.4k

Views

A confusion about the definition of Jordan measurable set

Published on 02 Feb 2018 - 8:59

score 79 · Answer 5 · 2018-02-02 12:20:36

79

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 02 Feb 2018 - 12:20

score 76 · Answer 6 · 2018-02-02 13:08:27

76

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 02 Feb 2018 - 13:08

score 274 · Answer 7 · 2026-03-23 01:59:03

274

Views

Example of sets that are not measurable?

Published on 23 Mar 2026 - 1:59

score 971 · Answer 8 · 2018-02-02 18:47:21

971

Views

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

Published on 02 Feb 2018 - 18:47

score 88 · Answer 9 · 2026-03-24 00:42:40

88

Views

Measuring a non-measurable set with probability?

Published on 24 Mar 2026 - 0:42

score 66 · Answer 10 · 2026-03-23 14:42:03

66

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 23 Mar 2026 - 14:42

score 59 · Answer 11 · 2026-03-22 18:33:55

59

Views

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

Published on 22 Mar 2026 - 18:33

score 2.8k · Answer 12 · 2026-03-20 01:15:58

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 20 Mar 2026 - 1:15

score 198 · Answer 13 · 2018-02-03 18:55:16

198

Views

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

Published on 03 Feb 2018 - 18:55

score 142 · Answer 14 · 2018-02-05 14:22:53

142

Views

Estimating the measure of a sum of subsets

Published on 05 Feb 2018 - 14:22

score 20 · Answer 15 · 2018-02-06 19:37:07

20

Views

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

Published on 06 Feb 2018 - 19:37

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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