Question

Determine $\lambda^{2}(\{(x,y) \in \mathbb R^{2}: x \in \mathbb Q\cap [0,1], y \in [0,1]\})$

score 47 · Answer 1 · 2026-03-28 18:02:41

47

Views

Determine $\lambda^{2}(\{(x,y) \in \mathbb R^{2}: x \in \mathbb Q\cap [0,1], y \in [0,1]\})$

Published on 28 Mar 2026 - 18:02

score 28 · Answer 2 · 2026-03-28 16:12:47

28

Views

Hints on $\lambda^{d}(\alpha B)=|\alpha|^d\lambda^{d}(B)$

Published on 28 Mar 2026 - 16:12

score 74 · Answer 3 · 2026-03-28 20:14:13

74

Views

Show $\int_{\mathbb R^{d}}f(\alpha x)d\lambda^{d}(x)=\frac{1}{|\alpha|^{d}}\int_{\mathbb R^{d}}f(x)d\lambda^{d}(x)$

Published on 28 Mar 2026 - 20:14

score 21 · Answer 4 · 2019-01-13 23:05:47

21

Views

show that $\Delta \in \mathcal{B} \otimes \mathcal{P}$

Published on 13 Jan 2019 - 23:05

score 37 · Answer 5 · 2019-01-14 10:46:22

37

Views

Find $\lambda^{2}(A)$ while $A:=\{(x,y)\in \mathbb R^{2}: x<y,y<2,y>\frac{1}{x}\}$

Published on 14 Jan 2019 - 10:46

score 89 · Answer 6 · 2026-03-28 16:13:33

89

Views

Varying definition of monotone convergence

Published on 28 Mar 2026 - 16:13

score 34 · Answer 7 · 2026-03-28 16:14:34

34

Views

Example for $f \in \mathcal{L}^q(\mathbb{R}, \lambda) \setminus \mathcal{L}^p(\mathbb{R}, \lambda)$ for $q < p$

Published on 28 Mar 2026 - 16:14

score 60 · Answer 8 · 2026-02-23 01:08:25

60

Views

Let $f$ be Lebesgueable integrable, then $\lim_{h\to 0}\sup \int_{|x -y| < h}|f(x) - f(y)| = 0$

Published on 23 Feb 2026 - 1:08

score 322 · Answer 9 · 2026-03-28 20:13:38

322

Views

A $\sigma$-finite measure on $[0,1]$

Published on 28 Mar 2026 - 20:13

score 76 · Answer 10 · 2019-01-15 19:57:53

76

Views

Purpose of calculation not clear [Fubini theorem; lebesgue measure; multifractals]

Published on 15 Jan 2019 - 19:57

score 352 · Answer 11 · 2019-01-16 08:09:47

352

Views

Is a simply connected subset of $\mathbb{R}^n$ necessarily measurable?

Published on 16 Jan 2019 - 8:09

score 190 · Answer 12 · 2019-01-16 15:41:58

190

Views

Rewrite $ \int_{\{(a,b,c)\in \mathbb{R}^3\text{ s.t. } a=b+c\}}dP_{X,Y,Z}=1 $ as conditions on boxes in $\mathbb{R}^3$

Published on 16 Jan 2019 - 15:41

score 116 · Answer 13 · 2026-04-01 09:20:21

116

Views

Show that this is an inner product

Published on 01 Apr 2026 - 9:20

score 28 · Answer 14 · 2019-01-16 18:59:55

28

Views

How to prove that $L(I)=m(I \setminus A)+m(A)$?

Published on 16 Jan 2019 - 18:59

score 55 · Answer 15 · 2026-03-28 22:36:54

55

Views

How/Why do I find the Hyperplane to Calculate the Volume of $A$

Published on 28 Mar 2026 - 22:36

List Question

Determine $\lambda^{2}(\{(x,y) \in \mathbb R^{2}: x \in \mathbb Q\cap [0,1], y \in [0,1]\})$

Hints on $\lambda^{d}(\alpha B)=|\alpha|^d\lambda^{d}(B)$

Show $\int_{\mathbb R^{d}}f(\alpha x)d\lambda^{d}(x)=\frac{1}{|\alpha|^{d}}\int_{\mathbb R^{d}}f(x)d\lambda^{d}(x)$

show that $\Delta \in \mathcal{B} \otimes \mathcal{P}$

Find $\lambda^{2}(A)$ while $A:=\{(x,y)\in \mathbb R^{2}: x<y,y<2,y>\frac{1}{x}\}$

Varying definition of monotone convergence

Example for $f \in \mathcal{L}^q(\mathbb{R}, \lambda) \setminus \mathcal{L}^p(\mathbb{R}, \lambda)$ for $q < p$

Let $f$ be Lebesgueable integrable, then $\lim_{h\to 0}\sup \int_{|x -y| < h}|f(x) - f(y)| = 0$

A $\sigma$-finite measure on $[0,1]$

Purpose of calculation not clear [Fubini theorem; lebesgue measure; multifractals]

Is a simply connected subset of $\mathbb{R}^n$ necessarily measurable?

Rewrite $ \int_{\{(a,b,c)\in \mathbb{R}^3\text{ s.t. } a=b+c\}}dP_{X,Y,Z}=1 $ as conditions on boxes in $\mathbb{R}^3$

Show that this is an inner product

How to prove that $L(I)=m(I \setminus A)+m(A)$?

How/Why do I find the Hyperplane to Calculate the Volume of $A$

Trending Questions

Popular # Hahtags

Popular Questions