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Understanding an identity for least squares regression line gradient

score 129 · Answer 1 · 2026-03-25 16:52:56

129

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Understanding an identity for least squares regression line gradient

Published on 25 Mar 2026 - 16:52

score 737 · Answer 2 · 2026-03-28 09:53:35

737

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Show that $\frac3{16}\sum\limits_{n\ge1}\frac{(-1)^n-8}{n^3}=-\frac{105}{64}\zeta(3)$

Published on 28 Mar 2026 - 9:53

score 42 · Answer 3 · 2018-09-27 15:07:40

42

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How to evaluate or model summation equation

Published on 27 Sep 2018 - 15:07

score 954 · Answer 4 · 2018-09-28 20:06:18

954

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summation of $\sum_{n=1}^\infty \frac {2^n+4^n}{6^n}$

Published on 28 Sep 2018 - 20:06

score 3.5k · Answer 5 · 2026-03-25 12:54:23

3.5k

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Help understanding proof of the following statement $E(Y) = \sum_{i = 1}^{\infty} P(Y \geq k)$

Published on 25 Mar 2026 - 12:54

score 116 · Answer 6 · 2018-09-29 14:21:40

116

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How make summation for a series which contains arbitrary elements

Published on 29 Sep 2018 - 14:21

score 89 · Answer 7 · 2026-03-28 08:49:30

89

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Study simple convergence of $\sum_{n=0}^{\infty} x^{2n}$ on $[0,1[$

Published on 28 Mar 2026 - 8:49

score 86 · Answer 8 · 2026-03-28 08:49:25

86

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Replacing $n!$ with Stirling's approximation in $e^x = \sum_n \frac{x^n}{n!}$

Published on 28 Mar 2026 - 8:49

score 826 · Answer 9 · 2018-09-30 02:26:03

826

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Explanation of the form of the summation notation used in set covering and other similar problems

Published on 30 Sep 2018 - 2:26

score 214 · Answer 10 · 2026-03-25 15:41:22

214

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Only $1$ and $4900$ are squares as $1+4+9+\ldots+ n^2$

Published on 25 Mar 2026 - 15:41

score 66 · Answer 11 · 2026-03-25 21:46:56

66

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Notation of sum $a+b+c+\cdots=n$ without repeatings

Published on 25 Mar 2026 - 21:46

score 2.3k · Answer 12 · 2026-03-25 06:08:53

2.3k

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Double summation with improper integral

Published on 25 Mar 2026 - 6:08

score 594 · Answer 13 · 2018-10-01 20:38:48

594

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Partial sum of divergent series

Published on 01 Oct 2018 - 20:38

score 35 · Answer 14 · 2026-03-31 10:13:44

35

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How to prove $\sum_{i\geq 1}N_i<\infty$ almost surely? Given $N_i$ are poisson rv with intensity $np_i$ where $\sum_{i\geq 1}p_i=1$

Published on 31 Mar 2026 - 10:13

score 319 · Answer 15 · 2018-10-01 21:27:37

319

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A tricky inequality involving double sum

Published on 01 Oct 2018 - 21:27

List Question

Understanding an identity for least squares regression line gradient

Show that $\frac3{16}\sum\limits_{n\ge1}\frac{(-1)^n-8}{n^3}=-\frac{105}{64}\zeta(3)$

How to evaluate or model summation equation

summation of $\sum_{n=1}^\infty \frac {2^n+4^n}{6^n}$

Help understanding proof of the following statement $E(Y) = \sum_{i = 1}^{\infty} P(Y \geq k)$

How make summation for a series which contains arbitrary elements

Study simple convergence of $\sum_{n=0}^{\infty} x^{2n}$ on $[0,1[$

Replacing $n!$ with Stirling's approximation in $e^x = \sum_n \frac{x^n}{n!}$

Explanation of the form of the summation notation used in set covering and other similar problems

Only $1$ and $4900$ are squares as $1+4+9+\ldots+ n^2$

Notation of sum $a+b+c+\cdots=n$ without repeatings

Double summation with improper integral

Partial sum of divergent series

How to prove $\sum_{i\geq 1}N_i<\infty$ almost surely? Given $N_i$ are poisson rv with intensity $np_i$ where $\sum_{i\geq 1}p_i=1$

A tricky inequality involving double sum

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