Question

Probability of different winners in a two candidate election (range voting vs majority)

score 278 · Answer 1 · 2026-05-10 17:13:34

278

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Probability of different winners in a two candidate election (range voting vs majority)

Published on 10 May 2026 - 17:13

score 101 · Answer 2 · 2026-04-14 23:27:17

101

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Sum of series $\sum_{n=1}^{\infty}\frac{1}{n(n+\frac{1}{2})}$

Published on 14 Apr 2026 - 23:27

score 52 · Answer 3 · 2026-04-09 03:17:10

52

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Giving an proof on a combinatorial statement

Published on 09 Apr 2026 - 3:17

score 52 · Answer 4 · 2026-04-11 20:06:37

52

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How to evaluate : $\lim_{n \to \infty}\sum_{k=0}^{n} \frac{{n\choose k}}{n^k(k+3)}$

Published on 11 Apr 2026 - 20:06

score 98 · Answer 5 · 2026-04-16 10:15:36

98

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limit of $\int_{-\frac{n}{2}}^{\frac{n}{2}}\exp\left(-\frac{(x-n)^2}{2n^2}\right)dx$ and its summation analog.

Published on 16 Apr 2026 - 10:15

score 24 · Answer 6 · 2026-03-26 15:17:04

24

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Calculating number of items in a summed series - non-repeating connections between points

Published on 26 Mar 2026 - 15:17

score 162 · Answer 7 · 2026-04-15 10:56:31

162

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Find a convergent sequence with $\sum \limits_{n=0}^{\infty} a_n = \sum \limits_{n=0}^{\infty}a_n^2$

Published on 15 Apr 2026 - 10:56

score 299 · Answer 8 · 2026-04-15 18:57:05

299

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Binomial coefficient sum: $\sum_{k=0}^{i-1}{i-1 \choose k}{j-1\choose k} = {i+j-2\choose j-1}$

Published on 15 Apr 2026 - 18:57

score 350 · Answer 9 · 2026-04-15 05:54:18

350

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Seeking a closed form for $\frac{1}{2^n} \sum_{k=0}^{n} \binom{n}{k} y^{(n-2k)^2}$

Published on 15 Apr 2026 - 5:54

score 111 · Answer 10 · 2026-04-14 19:08:54

111

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I have this identity that I'd like to prove. $\sum_{k=0}^{n}\left(\frac{n-2k}{n}\binom{n}{k}\right)^2=\frac{2}{n}\binom{2n-2}{n-1}$

Published on 14 Apr 2026 - 19:08

score 96 · Answer 11 · 2026-03-25 18:53:27

96

Views

Converting recurrence involving binomial terms and generating functions to closed form.

Published on 25 Mar 2026 - 18:53

score 116 · Answer 12 · 2026-05-10 18:19:53

116

Views

Inequality 6 deg

Published on 10 May 2026 - 18:19

score 97 · Answer 13 · 2026-03-26 23:09:23

97

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Donald Knuth and change of variable operation on sum

Published on 26 Mar 2026 - 23:09

score 113 · Answer 14 · 2026-04-11 06:20:32

113

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Integration as a limit of sum.

Published on 11 Apr 2026 - 6:20

score 98 · Answer 15 · 2026-04-25 01:48:36

98

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Integral and sum function

Published on 25 Apr 2026 - 1:48

List Question

Probability of different winners in a two candidate election (range voting vs majority)

Sum of series $\sum_{n=1}^{\infty}\frac{1}{n(n+\frac{1}{2})}$

Giving an proof on a combinatorial statement

How to evaluate : $\lim_{n \to \infty}\sum_{k=0}^{n} \frac{{n\choose k}}{n^k(k+3)}$

limit of $\int_{-\frac{n}{2}}^{\frac{n}{2}}\exp\left(-\frac{(x-n)^2}{2n^2}\right)dx$ and its summation analog.

Calculating number of items in a summed series - non-repeating connections between points

Find a convergent sequence with $\sum \limits_{n=0}^{\infty} a_n = \sum \limits_{n=0}^{\infty}a_n^2$

Binomial coefficient sum: $\sum_{k=0}^{i-1}{i-1 \choose k}{j-1\choose k} = {i+j-2\choose j-1}$

Seeking a closed form for $\frac{1}{2^n} \sum_{k=0}^{n} \binom{n}{k} y^{(n-2k)^2}$

I have this identity that I'd like to prove. $\sum_{k=0}^{n}\left(\frac{n-2k}{n}\binom{n}{k}\right)^2=\frac{2}{n}\binom{2n-2}{n-1}$

Converting recurrence involving binomial terms and generating functions to closed form.

Inequality 6 deg

Donald Knuth and change of variable operation on sum

Integration as a limit of sum.

Integral and sum function

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