Question

Show that support function of a set $S$ and support function of the closure of that set $\bar{S}$ are equal.

score 538 · Answer 1 · 2026-03-25 01:28:03

538

Views

Show that support function of a set $S$ and support function of the closure of that set $\bar{S}$ are equal.

Published on 25 Mar 2026 - 1:28

score 386 · Answer 2 · 2026-03-26 03:12:15

386

Views

for bounded series $x_n$, prove that $\limsup(1/x_n) = 1/ \liminf( x_n)$

Published on 26 Mar 2026 - 3:12

score 147 · Answer 3 · 2018-11-20 02:55:10

147

Views

Whether supremum and partial derivative can be interchanged?

Published on 20 Nov 2018 - 2:55

score 77 · Answer 4 · 2018-11-22 11:07:55

77

Views

Find the sup of an integral succession

Published on 22 Nov 2018 - 11:07

score 221 · Answer 5 · 2018-11-22 21:36:41

221

Views

$X_n\leq Y_n \implies \inf X_n \leq \inf Y_n$

Published on 22 Nov 2018 - 21:36

score 31 · Answer 6 · 2018-11-24 13:28:41

31

Views

Let $f:X\rightarrow \Bbb{R}\,\cup\,\{+\infty\}$ be a map. Then, for $x_0\in X,\;f(x_0)\geq \sup\limits_{V\in U(x_0)}\inf\limits_{x\in V}f(x)$

Published on 24 Nov 2018 - 13:28

score 369 · Answer 7 · 2018-11-25 19:08:28

369

Views

How to show Sup over bigger set is bigger and Inf over bigger set is lesser?

Published on 25 Nov 2018 - 19:08

score 31 · Answer 8 · 2018-11-26 04:14:53

31

Views

Equivalence in $\infty$-norm

Published on 26 Nov 2018 - 4:14

score 238 · Answer 9 · 2026-03-25 10:55:53

238

Views

$\sup_K |\partial^{\alpha}u|\le C^{|\alpha|+1}\alpha!^s$ then $u$ is analytic for $s\le 1$

Published on 25 Mar 2026 - 10:55

score 107 · Answer 10 · 2018-11-27 15:07:33

107

Views

Sequence $a_n$ such that $\inf a_n < \lim \inf a_n < \lim \sup a_n < \sup a_n$

Published on 27 Nov 2018 - 15:07

score 255 · Answer 11 · 2018-11-27 19:09:08

255

Views

Finding $\sup\limits_{\lambda\ge 0}\{\lambda^ke^{-a\lambda^2/2}\}$

Published on 27 Nov 2018 - 19:09

score 256 · Answer 12 · 2026-03-25 14:33:17

256

Views

Solution for the heat equation that doesn't belong to the Gevrey Class

Published on 25 Mar 2026 - 14:33

score 405 · Answer 13 · 2026-03-25 12:28:25

405

Views

Solution for Cauchy Problem $u_t-u_{xx} = 0$ belongs to the Gevrey class of order $1/2$

Published on 25 Mar 2026 - 12:28

score 2.3k · Answer 14 · 2018-11-30 17:24:34

2.3k

Views

Which of the following statements are true for $A=\{t\sin(\frac{1}{t})\ |\ t\in (0,\frac{2}{\pi})\}$?

Published on 30 Nov 2018 - 17:24

score 106 · Answer 15 · 2018-12-01 13:47:05

106

Views

$\sup(A\setminus\{z\}) = \sup(A)$ other direction and generalisation.

Published on 01 Dec 2018 - 13:47

List Question

Show that support function of a set $S$ and support function of the closure of that set $\bar{S}$ are equal.

for bounded series $x_n$, prove that $\limsup(1/x_n) = 1/ \liminf( x_n)$

Whether supremum and partial derivative can be interchanged?

Find the sup of an integral succession

$X_n\leq Y_n \implies \inf X_n \leq \inf Y_n$

Let $f:X\rightarrow \Bbb{R}\,\cup\,\{+\infty\}$ be a map. Then, for $x_0\in X,\;f(x_0)\geq \sup\limits_{V\in U(x_0)}\inf\limits_{x\in V}f(x)$

How to show Sup over bigger set is bigger and Inf over bigger set is lesser?

Equivalence in $\infty$-norm

$\sup_K |\partial^{\alpha}u|\le C^{|\alpha|+1}\alpha!^s$ then $u$ is analytic for $s\le 1$

Sequence $a_n$ such that $\inf a_n < \lim \inf a_n < \lim \sup a_n < \sup a_n$

Finding $\sup\limits_{\lambda\ge 0}\{\lambda^ke^{-a\lambda^2/2}\}$

Solution for the heat equation that doesn't belong to the Gevrey Class

Solution for Cauchy Problem $u_t-u_{xx} = 0$ belongs to the Gevrey class of order $1/2$

Which of the following statements are true for $A=\{t\sin(\frac{1}{t})\ |\ t\in (0,\frac{2}{\pi})\}$?

$\sup(A\setminus\{z\}) = \sup(A)$ other direction and generalisation.

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