Question

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

score 289 · Answer 1 · 2026-04-29 12:54:43

289

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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 29 Apr 2026 - 12:54

score 62 · Answer 2 · 2026-04-15 10:13:36

62

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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 15 Apr 2026 - 10:13

score 112 · Answer 3 · 2026-05-10 13:10:58

112

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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 10 May 2026 - 13:10

score 61 · Answer 4 · 2026-04-15 03:25:03

61

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Could be $(x_n)_n $ convergent?

Published on 15 Apr 2026 - 3:25

score 722 · Answer 5 · 2026-05-10 13:51:23

722

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

Published on 10 May 2026 - 13:51

score 185 · Answer 6 · 2026-04-16 08:10:39

185

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

Published on 16 Apr 2026 - 8:10

score 109 · Answer 7 · 2026-05-10 12:17:45

109

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

Published on 10 May 2026 - 12:17

score 206 · Answer 8 · 2026-05-10 13:09:44

206

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

Published on 10 May 2026 - 13:09

score 120 · Answer 9 · 2026-04-16 13:58:11

120

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

Published on 16 Apr 2026 - 13:58

score 60 · Answer 10 · 2026-04-29 12:43:04

60

Views

Random variable convergence question

Published on 29 Apr 2026 - 12:43

score 304 · Answer 11 · 2026-05-10 15:02:40

304

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

Published on 10 May 2026 - 15:02

score 129 · Answer 12 · 2026-04-17 07:25:26

129

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

Published on 17 Apr 2026 - 7:25

score 63 · Answer 13 · 2026-05-10 15:00:35

63

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

Published on 10 May 2026 - 15:00

score 45 · Answer 14 · 2026-04-16 03:44:22

45

Views

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

Published on 16 Apr 2026 - 3:44

score 144 · Answer 15 · 2026-05-02 20:09:46

144

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How does this sequence of distributions converge?

Published on 02 May 2026 - 20:09

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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