Question

Please explain this theorem to a physics student

score 107 · Answer 1 · 2026-04-13 01:57:31

107

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Please explain this theorem to a physics student

Published on 13 Apr 2026 - 1:57

score 487 · Answer 2 · 2026-04-13 10:38:52

487

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Can the constant $3$ in the Vitali covering lemma be replaced by any positive constant less than that in the finite case?

Published on 13 Apr 2026 - 10:38

score 68 · Answer 3 · 2026-04-17 10:43:45

68

Views

What is the relationship between $m^(A-B)$ and $m^(A)-m^*(A\cap B)$

Published on 17 Apr 2026 - 10:43

score 49 · Answer 4 · 2026-04-12 13:58:32

49

Views

Dense subset in $L^p $ spaces.

Published on 12 Apr 2026 - 13:58

score 80 · Answer 5 · 2026-04-16 13:13:12

80

Views

Prove that $f$ is measurable

Published on 16 Apr 2026 - 13:13

score 117 · Answer 6 · 2026-04-15 17:38:12

117

Views

Show that for any real $x$,the Lebesgue measure of the set $\{ω ∈ (0, 1) : X(ω) ≤ x\}$ equals $F(x)$

Published on 15 Apr 2026 - 17:38

score 54 · Answer 7 · 2026-04-17 03:57:39

54

Views

Show there exists an $f $ s.t. $ \int_{B} f d\mathbb{P} = \int_{B} 1-f d\mathbb{Q} $

Published on 17 Apr 2026 - 3:57

score 29 · Answer 8 · 2026-04-13 04:18:25

29

Views

What are the lebesgue - measurables sets of $[0,1[$

Published on 13 Apr 2026 - 4:18

score 1.4k · Answer 9 · 2026-04-13 22:51:21

1.4k

Views

Show that Riemann integral and Lebesgue integral coincide.

Published on 13 Apr 2026 - 22:51

score 103 · Answer 10 · 2026-04-11 02:18:55

103

Views

Verification of a semialgebra

Published on 11 Apr 2026 - 2:18

score 222 · Answer 11 · 2026-04-14 19:48:18

222

Views

Let $f: \Omega \to [0, \infty]$ be measurable. Let $\mu$ be $\sigma$-finite. Then $\{t\mid \mu\{f = t\} \neq 0 \}$ is countable.

Published on 14 Apr 2026 - 19:48

score 405 · Answer 12 · 2026-04-12 23:58:36

405

Views

Conditional expectation of a function with independent random variables

Published on 12 Apr 2026 - 23:58

score 180 · Answer 13 · 2026-04-09 10:05:43

180

Views

How to show that the Wiener measure is singular with respect to a normal law

Published on 09 Apr 2026 - 10:05

score 52 · Answer 14 · 2026-04-15 03:39:08

52

Views

Question on the $\sigma$-Algebra of a Given Probability Space

Published on 15 Apr 2026 - 3:39

score 1k · Answer 15 · 2026-04-13 16:40:42

1k

Views

A perfect nowhere dense set which intersects every open set with positive measure?

Published on 13 Apr 2026 - 16:40

List Question

Please explain this theorem to a physics student

Can the constant $3$ in the Vitali covering lemma be replaced by any positive constant less than that in the finite case?

What is the relationship between $m^(A-B)$ and $m^(A)-m^*(A\cap B)$

Dense subset in $L^p $ spaces.

Prove that $f$ is measurable

Show that for any real $x$,the Lebesgue measure of the set $\{ω ∈ (0, 1) : X(ω) ≤ x\}$ equals $F(x)$

Show there exists an $f $ s.t. $ \int_{B} f d\mathbb{P} = \int_{B} 1-f d\mathbb{Q} $

What are the lebesgue - measurables sets of $[0,1[$

Show that Riemann integral and Lebesgue integral coincide.

Verification of a semialgebra

Let $f: \Omega \to [0, \infty]$ be measurable. Let $\mu$ be $\sigma$-finite. Then $\{t\mid \mu\{f = t\} \neq 0 \}$ is countable.

Conditional expectation of a function with independent random variables

How to show that the Wiener measure is singular with respect to a normal law

Question on the $\sigma$-Algebra of a Given Probability Space

A perfect nowhere dense set which intersects every open set with positive measure?

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