Question

What is the definition of $s$-dimensional Lebesgue measure on $R^d$ for $s\ne d$?

score 118 · Answer 1 · 2026-04-29 22:12:57

118

Views

What is the definition of $s$-dimensional Lebesgue measure on $R^d$ for $s\ne d$?

Published on 29 Apr 2026 - 22:12

score 627 · Answer 2 · 2026-04-29 22:13:02

627

Views

Convergence of convex sets in the complementary Hausdorff metric and in the usual Hausdorff metric

Published on 29 Apr 2026 - 22:13

score 92 · Answer 3 · 2026-04-29 22:13:02

92

Views

Equality between volume and surface

Published on 29 Apr 2026 - 22:13

score 563 · Answer 4 · 2026-04-29 22:13:16

563

Views

Why is Hausdorff dimension monotonic?

Published on 29 Apr 2026 - 22:13

score 86 · Answer 5 · 2026-04-29 22:13:07

86

Views

For $A\subset\Bbb R^n$ and $B\subset \Bbb R^m$ show that $\dim_H(A\times B)=\dim_H(A)+\dim_H(B)$

Published on 29 Apr 2026 - 22:13

score 165 · Answer 6 · 2026-04-29 22:14:20

165

Views

Let $\gamma\in C(I,\Bbb R^n)$. Show that $\dim_H(\Gamma)=1$

Published on 29 Apr 2026 - 22:14

score 239 · Answer 7 · 2026-04-29 22:14:20

239

Views

The Hausdorff, packing, and Minkowski dimensions of general Cantor-type sets

Published on 29 Apr 2026 - 22:14

score 133 · Answer 8 · 2026-04-29 22:13:02

133

Views

Hausdorff measure of the Cartesian square of a Cantor like set

Published on 29 Apr 2026 - 22:13

score 172 · Answer 9 · 2026-04-29 22:13:06

172

Views

Propeties of the Hausdorff Measure

Published on 29 Apr 2026 - 22:13

score 55 · Answer 10 · 2026-04-29 22:13:17

55

Views

Sufficient condition for the growth of Hausdorff measure which implies sigma-finiteness

Published on 29 Apr 2026 - 22:13

score 603 · Answer 11 · 2026-04-29 22:13:02

603

Views

Does this fractal have a Hausdorff dimension of 1?

Published on 29 Apr 2026 - 22:13

score 659 · Answer 12 · 2026-04-29 22:13:02

659

Views

The $m$-dimensional Hausdorff measure agrees with the Lebesgue measure on $\mathbb{R}^n$ when $m=n$?

Published on 29 Apr 2026 - 22:13

score 283 · Answer 13 · 2026-04-29 22:12:57

283

Views

Calculating the length of a curve $(x,x^2)$ for $x\in [0,2]$ using the Hausdorff measure of the set $A=\{(x,x^2)\in\mathbb{R}^2\mid x\in[0,2] \}$?

Published on 29 Apr 2026 - 22:12

score 270 · Answer 14 · 2026-04-29 22:31:15

270

Views

Set of Hausdorff dimension $\alpha$

Published on 29 Apr 2026 - 22:31

score 71 · Answer 15 · 2026-04-29 22:31:09

71

Views

Letting $\delta \rightarrow \infty$ in the $\delta$-Hausdorff premeasure

Published on 29 Apr 2026 - 22:31

List Question

What is the definition of $s$-dimensional Lebesgue measure on $R^d$ for $s\ne d$?

Convergence of convex sets in the complementary Hausdorff metric and in the usual Hausdorff metric

Equality between volume and surface

Why is Hausdorff dimension monotonic?

For $A\subset\Bbb R^n$ and $B\subset \Bbb R^m$ show that $\dim_H(A\times B)=\dim_H(A)+\dim_H(B)$

Let $\gamma\in C(I,\Bbb R^n)$. Show that $\dim_H(\Gamma)=1$

The Hausdorff, packing, and Minkowski dimensions of general Cantor-type sets

Hausdorff measure of the Cartesian square of a Cantor like set

Propeties of the Hausdorff Measure

Sufficient condition for the growth of Hausdorff measure which implies sigma-finiteness

Does this fractal have a Hausdorff dimension of 1?

The $m$-dimensional Hausdorff measure agrees with the Lebesgue measure on $\mathbb{R}^n$ when $m=n$?

Calculating the length of a curve $(x,x^2)$ for $x\in [0,2]$ using the Hausdorff measure of the set $A=\{(x,x^2)\in\mathbb{R}^2\mid x\in[0,2] \}$?

Set of Hausdorff dimension $\alpha$

Letting $\delta \rightarrow \infty$ in the $\delta$-Hausdorff premeasure

Trending Questions

Popular # Hahtags

Popular Questions