Question

Trying to understand a standard example of weakly but not strongly measurable function

score 238 · Answer 1 · 2026-04-10 03:06:07

238

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Trying to understand a standard example of weakly but not strongly measurable function

Published on 10 Apr 2026 - 3:06

score 54 · Answer 2 · 2026-04-08 22:49:48

54

Views

Proof of the statement based on measure theory.

Published on 08 Apr 2026 - 22:49

score 111 · Answer 3 · 2026-04-13 12:33:03

111

Views

Cover $\lambda_n$-null set with small cubes

Published on 13 Apr 2026 - 12:33

score 170 · Answer 4 · 2026-05-10 11:20:36

170

Views

Finitely Additive Homogeneous Translation Invariant Measure on $\mathcal{P}(\mathbb{R})$

Published on 10 May 2026 - 11:20

score 264 · Answer 5 · 2026-04-13 11:37:42

264

Views

Apply the Monotone Convergence Theorem to show that λ is countably additive.

Published on 13 Apr 2026 - 11:37

score 407 · Answer 6 · 2026-05-16 20:56:02

407

Views

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

Published on 16 May 2026 - 20:56

score 220 · Answer 7 · 2026-04-17 17:54:33

220

Views

Interpretation of Expected value of Random Variable

Published on 17 Apr 2026 - 17:54

score 782 · Answer 8 · 2026-05-16 20:53:05

782

Views

Cantor-Like Sets

Published on 16 May 2026 - 20:53

score 1.4k · Answer 9 · 2026-04-14 23:11:19

1.4k

Views

Bounds for the derivative of inverse Mills ratio of standard normal distribution

Published on 14 Apr 2026 - 23:11

score 258 · Answer 10 · 2026-04-11 03:55:57

258

Views

Question on an example function (i.e. the "tent" function)

Published on 11 Apr 2026 - 3:55

score 193 · Answer 11 · 2026-05-10 15:09:12

193

Views

A problem from Folland: constructing Haar measure from Lebesgue measure

Published on 10 May 2026 - 15:09

score 2.9k · Answer 12 · 2026-05-16 20:52:56

2.9k

Views

Lebesgue sigma algebra

Published on 16 May 2026 - 20:52

score 499 · Answer 13 · 2026-04-11 16:04:34

499

Views

Wasserstein attains its infimum

Published on 11 Apr 2026 - 16:04

score 577 · Answer 14 · 2026-04-15 00:11:17

577

Views

Questions on the proof of $f*g\in C^\infty(\mathbb R)$ when $f\in L^2(\mathbb R)$ and $g\in C_c^\infty(\mathbb R)$

Published on 15 Apr 2026 - 0:11

score 2.9k · Answer 15 · 2026-04-14 18:53:27

2.9k

Views

Borel $\sigma$-Algebra generated by open intervall with rational end point

Published on 14 Apr 2026 - 18:53

List Question

Trying to understand a standard example of weakly but not strongly measurable function

Proof of the statement based on measure theory.

Cover $\lambda_n$-null set with small cubes

Finitely Additive Homogeneous Translation Invariant Measure on $\mathcal{P}(\mathbb{R})$

Apply the Monotone Convergence Theorem to show that λ is countably additive.

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

Interpretation of Expected value of Random Variable

Cantor-Like Sets

Bounds for the derivative of inverse Mills ratio of standard normal distribution

Question on an example function (i.e. the "tent" function)

A problem from Folland: constructing Haar measure from Lebesgue measure

Lebesgue sigma algebra

Wasserstein attains its infimum

Questions on the proof of $f*g\in C^\infty(\mathbb R)$ when $f\in L^2(\mathbb R)$ and $g\in C_c^\infty(\mathbb R)$

Borel $\sigma$-Algebra generated by open intervall with rational end point

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