Question

Maximizing the value of an integral

score 76 · Answer 1 · 2026-03-25 12:44:27

76

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Maximizing the value of an integral

Published on 25 Mar 2026 - 12:44

score 55 · Answer 2 · 2019-02-16 01:50:43

55

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Existence of a Sequence of strictly positive powers of (1/2) whose sum equals 3/8.

Published on 16 Feb 2019 - 1:50

score 627 · Answer 3 · 2019-02-16 09:02:01

627

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Is a set of measure zero in $\mathbb{R}$ totally disconnected?

Published on 16 Feb 2019 - 9:02

score 178 · Answer 4 · 2026-03-29 05:44:04

178

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If $\Omega$ has finite measure and $f \in L^p(\Omega)$ then for $1 \leq q \leq p$ we have $f \in L^q(\Omega)$ and the following estimate.

Published on 29 Mar 2026 - 5:44

score 31 · Answer 5 · 2019-02-16 20:04:51

31

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How many events can a space $\Omega$ contain in order for the elementary, discrete definition of expectation to still be valied

Published on 16 Feb 2019 - 20:04

score 127 · Answer 6 · 2019-02-17 00:57:54

127

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No continuous function $f$ on $\mathbb{R}$ such that $f(x)=1_{[0,1]}(x)$ almost everywhere

Published on 17 Feb 2019 - 0:57

score 68 · Answer 7 · 2026-03-28 10:04:39

68

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Does there exist an open subset $A \subset [0,1]$ such that $m_(A)\neq m_(\bar{A})$?

Published on 28 Mar 2026 - 10:04

score 763 · Answer 8 · 2019-02-17 07:04:13

763

Views

Proof that continuous curve in $\mathbb{R}^2$ has Lebesgue measure zero

Published on 17 Feb 2019 - 7:04

score 1.1k · Answer 9 · 2019-02-17 09:15:47

1.1k

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Exercise 36 Ch 1 in Stein's Real Analysis

Published on 17 Feb 2019 - 9:15

score 402 · Answer 10 · 2019-02-17 22:04:04

402

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For every Lebesgue measure set $E,$ the map $x\mapsto\overline{\lambda}(E\cap(E+x))$ is continuous

Published on 17 Feb 2019 - 22:04

score 57 · Answer 11 · 2026-03-25 15:54:31

57

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Measurable functions.

Published on 25 Mar 2026 - 15:54

score 777 · Answer 12 · 2019-02-17 23:29:20

777

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Cantor-Like Sets

Published on 17 Feb 2019 - 23:29

score 263 · Answer 13 · 2019-02-18 05:14:15

263

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Lebesgue measure, there exists a measurable subset $E_t\subset E$ with $m(E_t) = t$.

Published on 18 Feb 2019 - 5:14

score 2.9k · Answer 14 · 2019-02-18 10:33:28

2.9k

Views

Lebesgue sigma algebra

Published on 18 Feb 2019 - 10:33

score 124 · Answer 15 · 2026-03-26 03:01:43

124

Views

Proof that makes use of the differentiability of a function and of its convex conjugate

Published on 26 Mar 2026 - 3:01

List Question

Maximizing the value of an integral

Existence of a Sequence of strictly positive powers of (1/2) whose sum equals 3/8.

Is a set of measure zero in $\mathbb{R}$ totally disconnected?

If $\Omega$ has finite measure and $f \in L^p(\Omega)$ then for $1 \leq q \leq p$ we have $f \in L^q(\Omega)$ and the following estimate.

How many events can a space $\Omega$ contain in order for the elementary, discrete definition of expectation to still be valied

No continuous function $f$ on $\mathbb{R}$ such that $f(x)=1_{[0,1]}(x)$ almost everywhere

Does there exist an open subset $A \subset [0,1]$ such that $m_(A)\neq m_(\bar{A})$?

Proof that continuous curve in $\mathbb{R}^2$ has Lebesgue measure zero

Exercise 36 Ch 1 in Stein's Real Analysis

For every Lebesgue measure set $E,$ the map $x\mapsto\overline{\lambda}(E\cap(E+x))$ is continuous

Measurable functions.

Cantor-Like Sets

Lebesgue measure, there exists a measurable subset $E_t\subset E$ with $m(E_t) = t$.

Lebesgue sigma algebra

Proof that makes use of the differentiability of a function and of its convex conjugate

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