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Reducing Poisson Sum expression

score 67 · Answer 1 · 2026-05-15 06:19:29

67

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Reducing Poisson Sum expression

Published on 15 May 2026 - 6:19

score 548 · Answer 2 · 2026-04-13 21:16:26

Equality of the sums $\sum\limits_{v=0}^k \frac{k^v}{v!}$ and $\sum\limits_{v=0}^k \frac{v^v (k-v)^{k-v}}{v!(k-v)!}$

score 81 · Answer 3 · 2026-04-13 23:09:07

81

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Answer checking - involved derivative under summation

Published on 13 Apr 2026 - 23:09

score 646 · Answer 4 · 2026-04-10 23:29:49

646

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Mathematical notation/representation of a sum-product expression

Published on 10 Apr 2026 - 23:29

score 113 · Answer 5 · 2026-04-16 03:50:21

113

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Proving $E[X]=\sum_{i=1}^{n}P(X\geq i)$ for a R.V which receives non-negative values

Published on 16 Apr 2026 - 3:50

score 56 · Answer 6 · 2026-04-12 15:58:54

56

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Independent and identical

Published on 12 Apr 2026 - 15:58

score 2.1k · Answer 7 · 2026-04-13 05:03:47

2.1k

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On proving that integration can be used to get big-O complexity

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score 145 · Answer 8 · 2026-03-25 22:10:24

145

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Analytic continuation for $\sum_{n=0}^{\infty}(\sqrt n+1/3)^{-s}$

Published on 25 Mar 2026 - 22:10

score 347 · Answer 9 · 2026-04-13 17:56:49

347

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Simplifying $\sum_{r = 0}^{n} {{n}\choose{r}}r^k(-1)^r$

Published on 13 Apr 2026 - 17:56

score 238 · Answer 10 · 2026-04-16 23:01:24

238

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Sum of binomial coefficients when lower suffices is same in the series: ${m \choose m}+{m+1 \choose m}+{m+2 \choose m}+...+{n \choose m}$

Published on 16 Apr 2026 - 23:01

score 91 · Answer 11 · 2026-04-16 10:04:30

91

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Total number of positive divisor if $\sum_{n=1}^{10}\sum_{m=1}^{10} \tan^{-1}\left(\frac{m}{n}\right)=k\pi $

Published on 16 Apr 2026 - 10:04

score 284 · Answer 12 · 2026-04-14 02:55:37

284

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Show that sum obtained in this chessboard is already 260

Published on 14 Apr 2026 - 2:55

score 58.6k · Answer 13 · 2026-04-12 11:25:35

58.6k

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How to change the order of summation?

Published on 12 Apr 2026 - 11:25

score 3.1k · Answer 14 · 2026-04-12 02:17:26

3.1k

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Specific double summation problems

Published on 12 Apr 2026 - 2:17

score 43 · Answer 15 · 2026-04-16 07:27:39

43

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Alternative way to prove that the sum of the square reciprocals is ${\pi^2}/6$

Published on 16 Apr 2026 - 7:27

List Question

Reducing Poisson Sum expression

Equality of the sums $\sum\limits_{v=0}^k \frac{k^v}{v!}$ and $\sum\limits_{v=0}^k \frac{v^v (k-v)^{k-v}}{v!(k-v)!}$

Answer checking - involved derivative under summation

Mathematical notation/representation of a sum-product expression

Proving $E[X]=\sum_{i=1}^{n}P(X\geq i)$ for a R.V which receives non-negative values

Independent and identical

On proving that integration can be used to get big-O complexity

Analytic continuation for $\sum_{n=0}^{\infty}(\sqrt n+1/3)^{-s}$

Simplifying $\sum_{r = 0}^{n} {{n}\choose{r}}r^k(-1)^r$

Sum of binomial coefficients when lower suffices is same in the series: ${m \choose m}+{m+1 \choose m}+{m+2 \choose m}+...+{n \choose m}$

Total number of positive divisor if $\sum_{n=1}^{10}\sum_{m=1}^{10} \tan^{-1}\left(\frac{m}{n}\right)=k\pi $

Show that sum obtained in this chessboard is already 260

How to change the order of summation?

Specific double summation problems

Alternative way to prove that the sum of the square reciprocals is ${\pi^2}/6$

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