Question

Closed form for $1-2+3-4+\cdots(-1)^{n-1}n$

score 137 · Answer 1 · 2020-11-05 22:07:56

137

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Closed form for $1-2+3-4+\cdots(-1)^{n-1}n$

Published on 05 Nov 2020 - 22:07

score 48 · Answer 2 · 2020-11-06 05:21:40

48

Views

Something is wrong with my proof by induction solution

Published on 06 Nov 2020 - 5:21

score 1.2k · Answer 3 · 2020-11-07 10:53:23

1.2k

Views

it's possible to invert summation/ series limits?

Published on 07 Nov 2020 - 10:53

score 1.1k · Answer 4 · 2020-11-10 12:44:17

1.1k

Views

Double summation index notation: $\Sigma_{i<j}$ versus $\Sigma_{i\neq j}$?

Published on 10 Nov 2020 - 12:44

score 66 · Answer 5 · 2020-11-23 07:26:34

66

Views

How to determine asymptotics for $\sum_{ab^2 < x} ab^2$ by summing separately over $a$ and $b$

Published on 23 Nov 2020 - 7:26

score 149 · Answer 6 · 2020-12-12 14:09:55

149

Views

Euler's summability method for series convergence

Published on 12 Dec 2020 - 14:09

score 196 · Answer 7 · 2026-02-23 17:02:38

196

Views

Are there any good examples from other math fields or intuition supporting $\int_0^1\frac1xdx=\int_1^\infty\frac1xdx$?

Published on 23 Feb 2026 - 17:02

score 56 · Answer 8 · 2021-01-02 19:27:56

56

Views

Summation of an infinite series from two ways leading up to two answers

Published on 02 Jan 2021 - 19:27

score 75 · Answer 9 · 2021-01-07 14:55:09

75

Views

Evaluating a sum without using a program

Published on 07 Jan 2021 - 14:55

score 47 · Answer 10 · 2021-01-09 11:20:04

47

Views

Is it possible to rewrite this equation using Einstein Summation?

Published on 09 Jan 2021 - 11:20

score 38 · Answer 11 · 2021-01-20 16:48:18

38

Views

Why this iteration summation is wrong when I calculate it?

Published on 20 Jan 2021 - 16:48

score 96 · Answer 12 · 2021-01-31 12:48:33

96

Views

How to go from this summation to this approximation?

Published on 31 Jan 2021 - 12:48

score 82 · Answer 13 · 2021-02-15 16:53:05

82

Views

What is $\sum_{3\leq p\leq x} \pi(\sqrt{p})$?

Published on 15 Feb 2021 - 16:53

score 154 · Answer 14 · 2021-03-08 04:35:19

154

Views

Prove that the infinite sum of the difference of even and odd values of the Riemann zeta function is 1/2

Published on 08 Mar 2021 - 4:35

score 76 · Answer 15 · 2021-03-21 10:39:14

76

Views

Where does the Integral went wrong .... $ \displaystyle \int _{0}^{\pi} \frac {\ln ( 1 + \sin \alpha \cos x )}{\cos x} \ \mathrm {d}x $

Published on 21 Mar 2021 - 10:39

List Question

Closed form for $1-2+3-4+\cdots(-1)^{n-1}n$

Something is wrong with my proof by induction solution

it's possible to invert summation/ series limits?

Double summation index notation: $\Sigma_{i<j}$ versus $\Sigma_{i\neq j}$?

How to determine asymptotics for $\sum_{ab^2 < x} ab^2$ by summing separately over $a$ and $b$

Euler's summability method for series convergence

Are there any good examples from other math fields or intuition supporting $\int_0^1\frac1xdx=\int_1^\infty\frac1xdx$?

Summation of an infinite series from two ways leading up to two answers

Evaluating a sum without using a program

Is it possible to rewrite this equation using Einstein Summation?

Why this iteration summation is wrong when I calculate it?

How to go from this summation to this approximation?

What is $\sum_{3\leq p\leq x} \pi(\sqrt{p})$?

Prove that the infinite sum of the difference of even and odd values of the Riemann zeta function is 1/2

Where does the Integral went wrong .... $ \displaystyle \int _{0}^{\pi} \frac {\ln ( 1 + \sin \alpha \cos x )}{\cos x} \ \mathrm {d}x $

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