Question

Find $x_n$ such that $ \exp(- \sqrt{2 \log n} x_n - x_{n}^{2}/2) = (\sqrt{ 2 \log n} + x_n) \sqrt{2 \pi}$

score 45 · Answer 1 · 2026-05-14 16:08:25

45

Views

Find $x_n$ such that $ \exp(- \sqrt{2 \log n} x_n - x_{n}^{2}/2) = (\sqrt{ 2 \log n} + x_n) \sqrt{2 \pi}$

Published on 14 May 2026 - 16:08

score 384 · Answer 2 · 2026-04-13 09:07:36

384

Views

Does any nonmeasurable set with infinite outer measure contain a closed set with infinite (outer) measure?

Published on 13 Apr 2026 - 9:07

score 122 · Answer 3 · 2026-05-10 12:16:04

122

Views

Normed Spaces and Balls

Published on 10 May 2026 - 12:16

score 96 · Answer 4 · 2026-05-11 01:47:45

96

Views

A corollary of Hahn-Banach

Published on 11 May 2026 - 1:47

score 100 · Answer 5 · 2026-05-10 18:23:11

100

Views

Let $\mu$ be the outer measure, then...

Published on 10 May 2026 - 18:23

score 51 · Answer 6 · 2026-04-12 15:10:36

51

Views

Is this simple inequality true under the given conditions?

Published on 12 Apr 2026 - 15:10

score 549 · Answer 7 · 2026-04-15 23:58:21

549

Views

Show that for every $\epsilon > 0$ there exists an $M>0$ such that $|f(x)−f(y)|<\epsilon$

Published on 15 Apr 2026 - 23:58

score 380 · Answer 8 · 2026-05-11 04:22:17

380

Views

A map $\phi:M\rightarrow N$ is smooth if and only if $g\in\mathfrak{F}(N)\implies g\circ\phi\in\mathfrak{F}(M)$

Published on 11 May 2026 - 4:22

score 234 · Answer 9 · 2026-05-14 17:09:44

234

Views

How to get the following concave surrogate function for this function of a vector?

Published on 14 May 2026 - 17:09

score 4.4k · Answer 10 · 2026-04-13 02:34:37

4.4k

Views

Closure of Ball = Closed Ball in Normed Space

Published on 13 Apr 2026 - 2:34

score 101 · Answer 11 · 2026-05-05 04:41:02

101

Views

To check whether a function is unbounded

Published on 05 May 2026 - 4:41

score 38 · Answer 12 · 2026-04-14 21:54:50

38

Views

Prove that $\sum ^\infty _{n=1} \sqrt{a_n}\frac{1}{n^s}$ converges for $s>\frac{1}{2}$

Published on 14 Apr 2026 - 21:54

score 87 · Answer 13 · 2026-04-09 17:30:53

87

Views

Proof of inequality involving sums in roots with n variables

Published on 09 Apr 2026 - 17:30

score 651 · Answer 14 · 2026-05-10 21:52:17

651

Views

Give an example of Riemann Integrable function which has a primitive. Justify

Published on 10 May 2026 - 21:52

score 22 · Answer 15 · 2026-04-16 07:10:53

22

Views

Show uniform continuity

Published on 16 Apr 2026 - 7:10

List Question

Find $x_n$ such that $ \exp(- \sqrt{2 \log n} x_n - x_{n}^{2}/2) = (\sqrt{ 2 \log n} + x_n) \sqrt{2 \pi}$

Does any nonmeasurable set with infinite outer measure contain a closed set with infinite (outer) measure?

Normed Spaces and Balls

A corollary of Hahn-Banach

Let $\mu$ be the outer measure, then...

Is this simple inequality true under the given conditions?

Show that for every $\epsilon > 0$ there exists an $M>0$ such that $|f(x)−f(y)|<\epsilon$

A map $\phi:M\rightarrow N$ is smooth if and only if $g\in\mathfrak{F}(N)\implies g\circ\phi\in\mathfrak{F}(M)$

How to get the following concave surrogate function for this function of a vector?

Closure of Ball = Closed Ball in Normed Space

To check whether a function is unbounded

Prove that $\sum ^\infty _{n=1} \sqrt{a_n}\frac{1}{n^s}$ converges for $s>\frac{1}{2}$

Proof of inequality involving sums in roots with n variables

Give an example of Riemann Integrable function which has a primitive. Justify

Show uniform continuity

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