Question

The set $E= \{x\in [0,1]: \sum_{j=1}^\infty t^j|x−q_j|^{-r} <\infty\}$ does not contain all irrational numbers in $[0,1]$

score 198 · Answer 1 · 2026-03-30 09:51:42

198

Views

The set $E= \{x\in [0,1]: \sum_{j=1}^\infty t^j|x−q_j|^{-r} <\infty\}$ does not contain all irrational numbers in $[0,1]$

Published on 30 Mar 2026 - 9:51

score 647 · Answer 2 · 2026-03-31 06:00:48

647

Views

Totally disconnected measurable set with positive measure

Published on 31 Mar 2026 - 6:00

score 74 · Answer 3 · 2014-07-29 15:46:45

74

Views

Is every frame homomorphism induced by a measurable function?

Published on 29 Jul 2014 - 15:46

score 1.4k · Answer 4 · 2026-04-01 02:03:41

1.4k

Views

Which $f \in L^\infty$ are the Fourier transform of a bounded complex measure?

Published on 01 Apr 2026 - 2:03

score 549 · Answer 5 · 2014-07-31 17:51:45

549

Views

A Question on Sets of Full Outer Measure

Published on 31 Jul 2014 - 17:51

score 2.9k · Answer 6 · 2014-08-01 03:06:07

2.9k

Views

Dense subset of $[0,1]$ with Lebesgue measure $\epsilon$

Published on 01 Aug 2014 - 3:06

score 199 · Answer 7 · 2026-03-31 18:42:14

199

Views

Splitting of Nonmeasurable Sets

Published on 31 Mar 2026 - 18:42

score 412 · Answer 8 · 2014-08-04 07:06:06

412

Views

Existence of a random variable satisfying a condition on its distribution

Published on 04 Aug 2014 - 7:06

score 828 · Answer 9 · 2026-03-25 07:51:27

828

Views

Prove $X(\omega) = \sup\{y \in \mathbb{R}: F(y) < \omega\}$ is a random variable.

Published on 25 Mar 2026 - 7:51

score 38 · Answer 10 · 2014-08-05 13:37:09

38

Views

From the given measure $\mu,$ how to construct another measure $\mu^{\ast}$; so that $d\mu^{\ast}(y)= (1+y^{2})d\mu(y)$?

Published on 05 Aug 2014 - 13:37

score 45 · Answer 11 · 2014-08-05 16:07:35

45

Views

problem with my construction of sequence of sets

Published on 05 Aug 2014 - 16:07

score 278 · Answer 12 · 2014-08-06 11:47:51

278

Views

Is a Lebesgue measurable subset a null set if each compact subset is a nullset?

Published on 06 Aug 2014 - 11:47

score 133 · Answer 13 · 2014-08-07 01:51:24

133

Views

What is the Lebesgue measure of a following set?

Published on 07 Aug 2014 - 1:51

score 55 · Answer 14 · 2026-03-27 23:01:54

55

Views

How can I compute the Lebesgue measure

Published on 27 Mar 2026 - 23:01

score 147 · Answer 15 · 2026-04-03 07:35:56

147

Views

Invariant Measure

Published on 03 Apr 2026 - 7:35

List Question

The set $E= \{x\in [0,1]: \sum_{j=1}^\infty t^j|x−q_j|^{-r} <\infty\}$ does not contain all irrational numbers in $[0,1]$

Totally disconnected measurable set with positive measure

Is every frame homomorphism induced by a measurable function?

Which $f \in L^\infty$ are the Fourier transform of a bounded complex measure?

A Question on Sets of Full Outer Measure

Dense subset of $[0,1]$ with Lebesgue measure $\epsilon$

Splitting of Nonmeasurable Sets

Existence of a random variable satisfying a condition on its distribution

Prove $X(\omega) = \sup\{y \in \mathbb{R}: F(y) < \omega\}$ is a random variable.

From the given measure $\mu,$ how to construct another measure $\mu^{\ast}$; so that $d\mu^{\ast}(y)= (1+y^{2})d\mu(y)$?

problem with my construction of sequence of sets

Is a Lebesgue measurable subset a null set if each compact subset is a nullset?

What is the Lebesgue measure of a following set?

How can I compute the Lebesgue measure

Invariant Measure

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