Question

Counterexamples and Kolmogorov zero-one law (on the convergence of $\sum_{k=1}^\infty (\xi_k - \mathbf{E}(\xi_k))$)

score 282 · Answer 1 · 2018-01-25 16:28:23

282

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Counterexamples and Kolmogorov zero-one law (on the convergence of $\sum_{k=1}^\infty (\xi_k - \mathbf{E}(\xi_k))$)

Published on 25 Jan 2018 - 16:28

score 59 · Answer 2 · 2018-01-25 19:13:14

59

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Study the Convergence of the $\sum_{n=1}^{\infty}(-1)^n\left (\frac{1}{n}+\frac{\cos (\pi n)}{2n}\right)$

Published on 25 Jan 2018 - 19:13

score 105 · Answer 3 · 2026-03-22 13:37:43

105

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convergence of $\int_{\Bbb R^2} \frac{\sin(x^2+y^2)}{(1+x^2+y^2)^\alpha}dxdy$

Published on 22 Mar 2026 - 13:37

score 57 · Answer 4 · 2018-01-25 20:32:35

57

Views

Could be $(x_n)_n $ convergent?

Published on 25 Jan 2018 - 20:32

score 719 · Answer 5 · 2026-03-25 03:03:18

719

Views

Why do generalized Fourier series seem to converge to functions so far outside of the Hilbert space?

Published on 25 Mar 2026 - 3:03

score 182 · Answer 6 · 2018-01-26 03:53:19

182

Views

How the sequence $S_n=\frac{1}{2}({S_{n-1}+S_{n-2}}), \forall n>2,$ converge?

Published on 26 Jan 2018 - 3:53

score 99 · Answer 7 · 2026-03-22 10:50:37

99

Views

Show to which $A$ and $B$ the Fourier series converges uniformly

Published on 22 Mar 2026 - 10:50

score 197 · Answer 8 · 2026-03-17 23:25:21

197

Views

Convergence of $ \int_0^{\infty} \frac{e^{-x^2}-e^{-3x^2}}{x^a}$.

Published on 17 Mar 2026 - 23:25

score 117 · Answer 9 · 2018-01-26 18:31:06

117

Views

$|a_{n+1}-a_n|\le \frac{\ln(n+1)}{n^2}$ Prove that $a_n$ is convergent

Published on 26 Jan 2018 - 18:31

score 50 · Answer 10 · 2026-03-22 10:18:25

50

Views

Random variable convergence question

Published on 22 Mar 2026 - 10:18

score 302 · Answer 11 · 2026-03-24 22:14:09

302

Views

Convergence to zero in measure and bounded $L^1$ norm implies convergence of $\sqrt{f*g}$

Published on 24 Mar 2026 - 22:14

score 126 · Answer 12 · 2018-01-27 01:34:58

126

Views

Is the radius of convergence of the Taylor series of $f(x)=e^{x^4}$centered at $x_0=0$

Published on 27 Jan 2018 - 1:34

score 60 · Answer 13 · 2026-03-25 03:07:47

60

Views

If $X$ is Uniform$[0,1]$, does $1-X$ converge in distribution to $X$?

Published on 25 Mar 2026 - 3:07

score 42 · Answer 14 · 2018-01-27 11:22:57

42

Views

Prove that $\sum_{n\in\mathbb{N}}\sin^3{\frac{2}{n}}$ converges

Published on 27 Jan 2018 - 11:22

score 135 · Answer 15 · 2026-03-22 09:19:01

135

Views

How does this sequence of distributions converge?

Published on 22 Mar 2026 - 9:19

List Question

Counterexamples and Kolmogorov zero-one law (on the convergence of $\sum_{k=1}^\infty (\xi_k - \mathbf{E}(\xi_k))$)

Study the Convergence of the $\sum_{n=1}^{\infty}(-1)^n\left (\frac{1}{n}+\frac{\cos (\pi n)}{2n}\right)$

convergence of $\int_{\Bbb R^2} \frac{\sin(x^2+y^2)}{(1+x^2+y^2)^\alpha}dxdy$

Could be $(x_n)_n $ convergent?

Why do generalized Fourier series seem to converge to functions so far outside of the Hilbert space?

How the sequence $S_n=\frac{1}{2}({S_{n-1}+S_{n-2}}), \forall n>2,$ converge?

Show to which $A$ and $B$ the Fourier series converges uniformly

Convergence of $ \int_0^{\infty} \frac{e^{-x^2}-e^{-3x^2}}{x^a}$.

$|a_{n+1}-a_n|\le \frac{\ln(n+1)}{n^2}$ Prove that $a_n$ is convergent

Random variable convergence question

Convergence to zero in measure and bounded $L^1$ norm implies convergence of $\sqrt{f*g}$

Is the radius of convergence of the Taylor series of $f(x)=e^{x^4}$centered at $x_0=0$

If $X$ is Uniform$[0,1]$, does $1-X$ converge in distribution to $X$?

Prove that $\sum_{n\in\mathbb{N}}\sin^3{\frac{2}{n}}$ converges

How does this sequence of distributions converge?

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