Question

Proving $\frac{1}{2}\left(e^{in\theta}-e^{-in\theta}\right) +\frac{1}{2}\left(e^{in\theta}+e^{-in\theta}\right)\\$

score 100 · Answer 1 · 2026-04-13 11:54:27

100

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Proving $\frac{1}{2}\left(e^{in\theta}-e^{-in\theta}\right) +\frac{1}{2}\left(e^{in\theta}+e^{-in\theta}\right)\\$

Published on 13 Apr 2026 - 11:54

score 153 · Answer 2 · 2026-04-13 11:26:11

153

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Solving sum of one variable with real exponents

Published on 13 Apr 2026 - 11:26

score 190 · Answer 3 · 2026-04-03 19:14:18

190

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Evaluate $\sum_{j=0}^{k} (-1)^{j} \binom{n}{j}$

Published on 03 Apr 2026 - 19:14

score 719 · Answer 4 · 2026-03-27 21:19:02

719

Views

Proving Combinatorical Summation: $n!=\sum_{k=0}^n(-1)^k\binom{n}{k}(n-k)^n$

Published on 27 Mar 2026 - 21:19

score 716 · Answer 5 · 2026-04-12 11:40:05

716

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Double sigma summation is in complexity calculation

Published on 12 Apr 2026 - 11:40

score 309 · Answer 6 · 2026-04-10 03:18:33

309

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What is the sum of Psi/Digamma-function of consecutive arguments? Is there a closed form?

Published on 10 Apr 2026 - 3:18

score 348 · Answer 7 · 2026-04-13 06:24:00

348

Views

Upper bound for the sum $ \sum_{k=1}^N \frac{1}{\varphi(k)}$

Published on 13 Apr 2026 - 6:24

score 1.1k · Answer 8 · 2026-04-11 10:53:05

1.1k

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Is there a closed form expression for the sum of all the proper divisors of an integer?

Published on 11 Apr 2026 - 10:53

score 71 · Answer 9 · 2026-04-08 21:16:12

71

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Finding the limit of an integral

Published on 08 Apr 2026 - 21:16

score 3.5k · Answer 10 · 2026-04-10 19:08:06

3.5k

Views

An algorithm to find X numbers that sum up to a given value

Published on 10 Apr 2026 - 19:08

score 142 · Answer 11 · 2026-04-12 03:03:36

142

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Samplification of a sum of multiplication

Published on 12 Apr 2026 - 3:03

score 39 · Answer 12 · 2026-03-31 16:16:12

39

Views

How to obtain this upper bound on the summation from this inequality?

Published on 31 Mar 2026 - 16:16

score 43 · Answer 13 · 2026-04-11 22:59:15

43

Views

Sums Convergence tests

Published on 11 Apr 2026 - 22:59

score 286 · Answer 14 · 2026-04-10 17:44:36

286

Views

Infinite Sum of algebraic expression

Published on 10 Apr 2026 - 17:44

score 897 · Answer 15 · 2026-04-03 06:08:59

897

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Proving that $\gamma = \int_{0}^{1} \!\!\int_{0}^{1} \!\frac{x - 1}{(1 - x y) \log(x y)} \, \mathrm{d}{x} \, \mathrm{d}{y} $.

Published on 03 Apr 2026 - 6:08

List Question

Proving $\frac{1}{2}\left(e^{in\theta}-e^{-in\theta}\right) +\frac{1}{2}\left(e^{in\theta}+e^{-in\theta}\right)\\$

Solving sum of one variable with real exponents

Evaluate $\sum_{j=0}^{k} (-1)^{j} \binom{n}{j}$

Proving Combinatorical Summation: $n!=\sum_{k=0}^n(-1)^k\binom{n}{k}(n-k)^n$

Double sigma summation is in complexity calculation

What is the sum of Psi/Digamma-function of consecutive arguments? Is there a closed form?

Upper bound for the sum $ \sum_{k=1}^N \frac{1}{\varphi(k)}$

Is there a closed form expression for the sum of all the proper divisors of an integer?

Finding the limit of an integral

An algorithm to find X numbers that sum up to a given value

Samplification of a sum of multiplication

How to obtain this upper bound on the summation from this inequality?

Sums Convergence tests

Infinite Sum of algebraic expression

Proving that $\gamma = \int_{0}^{1} \!\!\int_{0}^{1} \!\frac{x - 1}{(1 - x y) \log(x y)} \, \mathrm{d}{x} \, \mathrm{d}{y} $.

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