Question

Limit of $n \tan(\frac{x}{n})$

score 107 · Answer 1 · 2022-08-16 14:40:55

107

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Limit of $n \tan(\frac{x}{n})$

Published on 16 Aug 2022 - 14:40

score 139 · Answer 2 · 2022-08-20 21:06:38

139

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Picard Iteration: Proof of point wise convergence for system $f(y)=y^2$

Published on 20 Aug 2022 - 21:06

score 19 · Answer 3 · 2022-08-24 13:42:16

19

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Closed subgroups and submonoids of pointwise convergence.

Published on 24 Aug 2022 - 13:42

score 65 · Answer 4 · 2022-08-24 18:41:34

65

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Is the component wise convergence limit of a sequence defined on an infinite dimensional space the same as its uniform convergence limit?

Published on 24 Aug 2022 - 18:41

score 166 · Answer 5 · 2022-09-01 21:28:04

166

Views

Proof:$X_n\overset{a.s}{\rightarrow}X,Y_n\overset{a.s}{\rightarrow}Y \Rightarrow X_n+Y_n\overset{a.s.}{\rightarrow}X+Y$

Published on 01 Sep 2022 - 21:28

score 71 · Answer 6 · 2022-09-06 09:31:51

71

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Deterministic convergence implication implies the same implication for convergence in probability

Published on 06 Sep 2022 - 9:31

score 68 · Answer 7 · 2022-09-07 13:08:09

68

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Convergence of $\sum_{1}^{\infty}(-1)^n\frac{\sin(n\theta)}{n}$

Published on 07 Sep 2022 - 13:08

score 97 · Answer 8 · 2022-09-08 03:44:00

97

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Discussion about necessity of compactness in Theorem 7.13 of Rudin's PMA

Published on 08 Sep 2022 - 3:44

score 20 · Answer 9 · 2022-09-17 03:29:04

20

Views

How to prove the space ${g(x)=\int_{-c}^c F(w)e^{iwt}dw: F(w)\in L^2[-c,c]}$ with the norm $l_\infty$ is a Banach space.

Published on 17 Sep 2022 - 3:29

score 151 · Answer 10 · 2022-09-25 14:46:56

151

Views

Pointwise convergence in a Sturm-Liouvlle problem.

Published on 25 Sep 2022 - 14:46

score 148 · Answer 11 · 2022-10-06 05:20:07

148

Views

Visualizing where uniform convergence fails but pointwise convergence holds

Published on 06 Oct 2022 - 5:20

score 43 · Answer 12 · 2022-10-07 06:13:53

43

Views

Pointwise limit and norm limit in a sequence space

Published on 07 Oct 2022 - 6:13

score 64 · Answer 13 · 2022-10-15 13:10:01

64

Views

Show the convergence of $X_k$ and $Y_k$

Published on 15 Oct 2022 - 13:10

score 38 · Answer 14 · 2022-10-26 04:50:29

38

Views

If $\varphi_n$ converges pointwise to $f$, then does $\varphi'_n=\max_{1\leq j \leq n}\varphi_j$ converge pointwise to $f$?

Published on 26 Oct 2022 - 4:50

score 86 · Answer 15 · 2022-10-26 23:53:24

86

Views

pointwise convergence of $n\sin(n^2x)$

Published on 26 Oct 2022 - 23:53

List Question

Limit of $n \tan(\frac{x}{n})$

Picard Iteration: Proof of point wise convergence for system $f(y)=y^2$

Closed subgroups and submonoids of pointwise convergence.

Is the component wise convergence limit of a sequence defined on an infinite dimensional space the same as its uniform convergence limit?

Proof:$X_n\overset{a.s}{\rightarrow}X,Y_n\overset{a.s}{\rightarrow}Y \Rightarrow X_n+Y_n\overset{a.s.}{\rightarrow}X+Y$

Deterministic convergence implication implies the same implication for convergence in probability

Convergence of $\sum_{1}^{\infty}(-1)^n\frac{\sin(n\theta)}{n}$

Discussion about necessity of compactness in Theorem 7.13 of Rudin's PMA

How to prove the space ${g(x)=\int_{-c}^c F(w)e^{iwt}dw: F(w)\in L^2[-c,c]}$ with the norm $l_\infty$ is a Banach space.

Pointwise convergence in a Sturm-Liouvlle problem.

Visualizing where uniform convergence fails but pointwise convergence holds

Pointwise limit and norm limit in a sequence space

Show the convergence of $X_k$ and $Y_k$

If $\varphi_n$ converges pointwise to $f$, then does $\varphi'_n=\max_{1\leq j \leq n}\varphi_j$ converge pointwise to $f$?

pointwise convergence of $n\sin(n^2x)$

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