Question

Length of finite sequence of open intervals whose union contains $X = \mathbb{Q} \cap [0,1]$

score 157 · Answer 1 · 2026-04-17 05:09:26

157

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Length of finite sequence of open intervals whose union contains $X = \mathbb{Q} \cap [0,1]$

Published on 17 Apr 2026 - 5:09

score 1k · Answer 2 · 2026-04-11 23:40:13

1k

Views

Supremum of sequence of measurable function

Published on 11 Apr 2026 - 23:40

score 346 · Answer 3 · 2026-04-13 16:23:47

346

Views

show that $\|f\|_{\infty} = \sup_{x \in [0,1]} |f(x)|$ if $f$ is continuous.

Published on 13 Apr 2026 - 16:23

score 608 · Answer 4 · 2026-04-14 10:58:10

608

Views

prove the set of all finite unions of all intervals in [0,1] is an algebra but not a sigma-algebra

Published on 14 Apr 2026 - 10:58

score 366 · Answer 5 · 2026-04-24 13:44:52

366

Views

Show that the intersection of any d-systems is again a d-system

Published on 24 Apr 2026 - 13:44

score 283 · Answer 6 · 2026-04-09 01:47:21

283

Views

Is a sequence diverging almost surely to infinity almost surely positive?

Published on 09 Apr 2026 - 1:47

score 336 · Answer 7 · 2026-04-15 21:21:06

336

Views

Lebesgue Monotone Conv. Theorem's Proof by W. Rudin

Published on 15 Apr 2026 - 21:21

score 83 · Answer 8 · 2026-04-16 13:23:09

83

Views

Proving a Sobolev-type inequality.

Published on 16 Apr 2026 - 13:23

score 152 · Answer 9 · 2026-04-15 03:43:05

152

Views

Dynkin System Generated by Collection of Subsets

Published on 15 Apr 2026 - 3:43

score 543 · Answer 10 · 2026-04-14 22:12:08

543

Views

We know that the $l^p$ "norm" for $0<p<1$ is not a true norm. But what about the metric?

Published on 14 Apr 2026 - 22:12

score 277 · Answer 11 · 2026-04-09 11:54:43

277

Views

Intuition behind and explanation of independence of random variables

Published on 09 Apr 2026 - 11:54

score 35 · Answer 12 · 2026-04-15 03:55:06

35

Views

$f_a\chi_{(0,1)}$ is in $L^p$ iff $p<a^{-1}$

Published on 15 Apr 2026 - 3:55

score 287 · Answer 13 · 2026-04-08 19:42:32

287

Views

Hausdorff measure a radon measure

Published on 08 Apr 2026 - 19:42

score 64 · Answer 14 · 2026-04-13 21:34:22

64

Views

Prove that no interval has Lebesgue measure zero

Published on 13 Apr 2026 - 21:34

score 53 · Answer 15 · 2026-04-12 22:22:09

53

Views

Proof concerning generator of sigma-algebra.

Published on 12 Apr 2026 - 22:22

List Question

Length of finite sequence of open intervals whose union contains $X = \mathbb{Q} \cap [0,1]$

Supremum of sequence of measurable function

show that $\|f\|_{\infty} = \sup_{x \in [0,1]} |f(x)|$ if $f$ is continuous.

prove the set of all finite unions of all intervals in [0,1] is an algebra but not a sigma-algebra

Show that the intersection of any d-systems is again a d-system

Is a sequence diverging almost surely to infinity almost surely positive?

Lebesgue Monotone Conv. Theorem's Proof by W. Rudin

Proving a Sobolev-type inequality.

Dynkin System Generated by Collection of Subsets

We know that the $l^p$ "norm" for $0<p<1$ is not a true norm. But what about the metric?

Intuition behind and explanation of independence of random variables

$f_a\chi_{(0,1)}$ is in $L^p$ iff $p<a^{-1}$

Hausdorff measure a radon measure

Prove that no interval has Lebesgue measure zero

Proof concerning generator of sigma-algebra.

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