Question

Is $\sup_n\mathbf{E}X_n = \mathbf{E}\sup_n X_n$?

score 447 · Answer 1 · 2026-04-14 21:49:38

447

Views

Is $\sup_n\mathbf{E}X_n = \mathbf{E}\sup_n X_n$?

Published on 14 Apr 2026 - 21:49

score 28 · Answer 2 · 2026-04-14 19:20:05

28

Views

Can this be a valid complete answer for this question?

Published on 14 Apr 2026 - 19:20

score 304 · Answer 3 · 2026-04-16 07:18:59

304

Views

10 equivalent definitions of normal subgroup

Published on 16 Apr 2026 - 7:18

score 69 · Answer 4 · 2026-04-14 12:12:24

69

Views

Prove that $\sum_{j=0}^{\infty}z_{j}$ converges absolutely iff $\sum_{j=0}^{\infty}x_{j}$ and $\sum_{j=0}^{\infty}y_{j}$ converges absolutely

Published on 14 Apr 2026 - 12:12

score 138 · Answer 5 · 2026-04-16 18:15:05

138

Views

Use the arithmetic mean-geometric mean inequality to establish that $-x < n < m$ implies $(1+x/n)^{n} \leq (1 + x/m)^{m}$

Published on 16 Apr 2026 - 18:15

score 34 · Answer 6 · 2026-04-16 14:04:36

34

Views

If $\lim_{x \to b^{-}} f(x) = d$ then the image of $f$ is the half closed interval $[f(a),d)$ - Proof feedback

Published on 16 Apr 2026 - 14:04

score 52 · Answer 7 · 2026-04-16 05:59:09

52

Views

$\lim_{x \to +\infty} f(x) + g(x) = +\infty$. True or false?

Published on 16 Apr 2026 - 5:59

score 1.5k · Answer 8 · 2026-04-16 20:24:05

1.5k

Views

If $g\in{G}$ and G is a group, then the map $G\rightarrow{G}$ given by $x\mapsto{gx}$ is a bijection.

Published on 16 Apr 2026 - 20:24

score 311 · Answer 9 · 2026-04-16 17:25:34

311

Views

Show that $\mathbb R$ satisfies the second axiom of countability

Published on 16 Apr 2026 - 17:25

score 107 · Answer 10 · 2026-04-15 09:10:38

107

Views

Why is there's a unique circle passing through a point?

Published on 15 Apr 2026 - 9:10

score 62 · Answer 11 · 2026-04-16 13:52:59

62

Views

Exercise on subsequences - Kelley section ex D chapter 2

Published on 16 Apr 2026 - 13:52

score 802 · Answer 12 · 2026-04-10 23:08:44

802

Views

Expected value of $Z=2X-Y$

Published on 10 Apr 2026 - 23:08

score 98 · Answer 13 · 2026-04-16 20:24:00

98

Views

If $ \frac {dy}{dx} = - \frac {x(1+y^{2})^{2}}{\ln y (1-y^{2})}$

Published on 16 Apr 2026 - 20:24

score 573 · Answer 14 · 2026-04-14 22:51:56

573

Views

Prove that every subsequence of a convergent real sequence converges to the same limit.

Published on 14 Apr 2026 - 22:51

score 162 · Answer 15 · 2026-04-14 17:42:28

162

Views

Proving that $\mathbb R^n$ satisfies the second axiom of countability

Published on 14 Apr 2026 - 17:42

List Question

Is $\sup_n\mathbf{E}X_n = \mathbf{E}\sup_n X_n$?

Can this be a valid complete answer for this question?

10 equivalent definitions of normal subgroup

Prove that $\sum_{j=0}^{\infty}z_{j}$ converges absolutely iff $\sum_{j=0}^{\infty}x_{j}$ and $\sum_{j=0}^{\infty}y_{j}$ converges absolutely

Use the arithmetic mean-geometric mean inequality to establish that $-x < n < m$ implies $(1+x/n)^{n} \leq (1 + x/m)^{m}$

If $\lim_{x \to b^{-}} f(x) = d$ then the image of $f$ is the half closed interval $[f(a),d)$ - Proof feedback

$\lim_{x \to +\infty} f(x) + g(x) = +\infty$. True or false?

If $g\in{G}$ and G is a group, then the map $G\rightarrow{G}$ given by $x\mapsto{gx}$ is a bijection.

Show that $\mathbb R$ satisfies the second axiom of countability

Why is there's a unique circle passing through a point?

Exercise on subsequences - Kelley section ex D chapter 2

Expected value of $Z=2X-Y$

If $ \frac {dy}{dx} = - \frac {x(1+y^{2})^{2}}{\ln y (1-y^{2})}$

Prove that every subsequence of a convergent real sequence converges to the same limit.

Proving that $\mathbb R^n$ satisfies the second axiom of countability

Trending Questions

Popular # Hahtags

Popular Questions