Question

Is this domain Lipschitz? Does Poincaré–Wirtinger inequality apply?

score 308 · Answer 1 · 2026-04-14 06:44:54

308

Views

Is this domain Lipschitz? Does Poincaré–Wirtinger inequality apply?

Published on 14 Apr 2026 - 6:44

score 574 · Answer 2 · 2026-04-14 11:55:52

574

Views

Are "most" sets in $\mathbb R$ neither open nor closed?

Published on 14 Apr 2026 - 11:55

score 122 · Answer 3 · 2026-04-17 00:29:01

122

Views

Prove both the exterior measure of both a point and $\emptyset$ is zero.

Published on 17 Apr 2026 - 0:29

score 64 · Answer 4 · 2026-04-08 23:36:17

Can you provide a basic and meaningful motivation for sigma-algebras/fields, measure theory, Lebsegue integration, and probability?

score 437 · Answer 5 · 2026-04-11 09:22:28

437

Views

A question about absolute continuity

Published on 11 Apr 2026 - 9:22

score 544 · Answer 6 · 2026-04-15 15:49:34

544

Views

Showing Probability Measure is Nonatomic

Published on 15 Apr 2026 - 15:49

score 349 · Answer 7 · 2026-04-12 13:20:56

349

Views

Intuition behind a random variable being a measurable function with a specific example.

Published on 12 Apr 2026 - 13:20

score 147 · Answer 8 · 2026-04-15 14:38:38

147

Views

Example $1.19$ - Counterexamples in Probability and Real Analysis by Gary L. Wise and Eric B. Hall

Published on 15 Apr 2026 - 14:38

score 63 · Answer 9 · 2026-04-09 03:49:25

63

Views

Can we define a special measure in this way?

Published on 09 Apr 2026 - 3:49

score 201 · Answer 10 · 2026-03-31 10:13:54

201

Views

Does there exist random variables such that any strict subset of $\{ X_1, X_2, ... X_n\}$ is independent but $X_1, X_2, ... X_n$ are not independent?

Published on 31 Mar 2026 - 10:13

score 36 · Answer 11 · 2026-04-16 10:22:02

36

Views

Show that for $1 \le p < r < \infty$, these holds $(f|f|^p)^{1/p} \le (f|f|^r)^{1/r}.$

Published on 16 Apr 2026 - 10:22

score 42 · Answer 12 · 2026-04-15 15:44:50

Why is $\lim_{n \to \infty} \frac{1}{n} \zeta_\mathbb{N} (A\cap[1,n])$ not defined for numbers whose decimal representation starts with $3$?

score 419 · Answer 13 · 2026-03-25 13:13:26

419

Views

Explanation of $\lim\sup$ of a sequence of random variables in measure theory

Published on 25 Mar 2026 - 13:13

score 57 · Answer 14 · 2026-04-13 23:42:27

57

Views

Why does a sum of outer measures of nonmeasurable sets equal infinity?

Published on 13 Apr 2026 - 23:42

score 1.1k · Answer 15 · 2026-04-09 19:44:46

1.1k

Views

How to show a subset of $\mathbb{R}^2$ is a Borel set?

Published on 09 Apr 2026 - 19:44

List Question

Is this domain Lipschitz? Does Poincaré–Wirtinger inequality apply?

Are "most" sets in $\mathbb R$ neither open nor closed?

Prove both the exterior measure of both a point and $\emptyset$ is zero.

Can you provide a basic and meaningful motivation for sigma-algebras/fields, measure theory, Lebsegue integration, and probability?

A question about absolute continuity

Showing Probability Measure is Nonatomic

Intuition behind a random variable being a measurable function with a specific example.

Example $1.19$ - Counterexamples in Probability and Real Analysis by Gary L. Wise and Eric B. Hall

Can we define a special measure in this way?

Does there exist random variables such that any strict subset of $\{ X_1, X_2, ... X_n\}$ is independent but $X_1, X_2, ... X_n$ are not independent?

Show that for $1 \le p < r < \infty$, these holds $(f|f|^p)^{1/p} \le (f|f|^r)^{1/r}.$

Why is $\lim_{n \to \infty} \frac{1}{n} \zeta_\mathbb{N} (A\cap[1,n])$ not defined for numbers whose decimal representation starts with $3$?

Explanation of $\lim\sup$ of a sequence of random variables in measure theory

Why does a sum of outer measures of nonmeasurable sets equal infinity?

How to show a subset of $\mathbb{R}^2$ is a Borel set?

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