Question

How to expand product of $n$ factors.

score 225 · Answer 1 · 2026-03-25 09:28:12

225

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How to expand product of $n$ factors.

Published on 25 Mar 2026 - 9:28

score 191 · Answer 2 · 2018-11-14 17:56:17

191

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sum of an infinite series $\sum_{k=1}^\infty \left( \prod_{m=1}^k\frac{1}{1+m\gamma}\right) $

Published on 14 Nov 2018 - 17:56

score 805 · Answer 3 · 2018-11-15 22:45:15

805

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Why is $\inf g \sup g = \frac{9}{16} $?

Published on 15 Nov 2018 - 22:45

score 88 · Answer 4 · 2018-11-19 13:05:27

Prove that $\sum_{{a_{n-1}}=1}^{a_n}\,\sum_{a_{n-2}=1}^{a_{n-1}}\,\ldots\,\sum_{a_{1}=1}^{a_2}\,a_1=\frac{\prod\limits_{i=0}^{n-1}\,(a_n+i)}{n!}$.

score 87 · Answer 5 · 2018-11-19 18:42:26

87

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When is $\prod_{n=2}^{k} n-\frac{1}{n}$ not an integer?

Published on 19 Nov 2018 - 18:42

score 147 · Answer 6 · 2018-11-19 20:11:16

147

Views

Value of $\prod_{n=2}^{\infty} \frac{n^2+1}{n^2-1}$

Published on 19 Nov 2018 - 20:11

score 95 · Answer 7 · 2018-11-22 17:44:56

95

Views

Comparing two binary relations using Cartesian products

Published on 22 Nov 2018 - 17:44

score 94 · Answer 8 · 2018-11-24 14:30:47

94

Views

Why is $\alpha^n\beta^m+\alpha^m\beta^n\le\alpha^s\beta^t+\alpha^t\beta^s$ if $(n,m)\preceq(s,t)$?

Published on 24 Nov 2018 - 14:30

score 20 · Answer 9 · 2018-11-24 16:56:15

20

Views

What does the term in the right mean?

Published on 24 Nov 2018 - 16:56

score 137 · Answer 10 · 2018-11-28 02:43:04

137

Views

Is there a name for this 'multiplication table' operation of vectors?

Published on 28 Nov 2018 - 2:43

score 96 · Answer 11 · 2018-12-04 11:27:43

Why is $\prod_{k=1}^m{(e^{ikx}+e^{-ikx})}=\sum_{\epsilon_{k}=\pm1}{e^{i(\epsilon_1+2\epsilon_2+\cdots+m\epsilon_m)x}}$

score 2.6k · Answer 12 · 2018-12-06 16:05:21

2.6k

Views

Multiplication of a vector by an orthogonal matrix

Published on 06 Dec 2018 - 16:05

score 69 · Answer 13 · 2018-12-07 10:58:35

69

Views

Is this an empty product?

Published on 07 Dec 2018 - 10:58

score 66 · Answer 14 · 2026-02-23 04:24:03

66

Views

Why is $ \prod_{n=0}^{N-1} u[x_n + \theta] - u[x_n-\theta] = u[\theta - \max(|x_n| )]$?

Published on 23 Feb 2026 - 4:24

score 76 · Answer 15 · 2018-12-20 20:36:09

76

Views

What are the prime divisors of $\det(A_n)$, where $A_n$ is the $n\times n$ matrix given by $(A_n)_{i,j}={n\choose|i-j|}$?

Published on 20 Dec 2018 - 20:36

List Question

How to expand product of $n$ factors.

sum of an infinite series $\sum_{k=1}^\infty \left( \prod_{m=1}^k\frac{1}{1+m\gamma}\right) $

Why is $\inf g \sup g = \frac{9}{16} $?

Prove that $\sum_{{a_{n-1}}=1}^{a_n}\,\sum_{a_{n-2}=1}^{a_{n-1}}\,\ldots\,\sum_{a_{1}=1}^{a_2}\,a_1=\frac{\prod\limits_{i=0}^{n-1}\,(a_n+i)}{n!}$.

When is $\prod_{n=2}^{k} n-\frac{1}{n}$ not an integer?

Value of $\prod_{n=2}^{\infty} \frac{n^2+1}{n^2-1}$

Comparing two binary relations using Cartesian products

Why is $\alpha^n\beta^m+\alpha^m\beta^n\le\alpha^s\beta^t+\alpha^t\beta^s$ if $(n,m)\preceq(s,t)$?

What does the term in the right mean?

Is there a name for this 'multiplication table' operation of vectors?

Why is $\prod_{k=1}^m{(e^{ikx}+e^{-ikx})}=\sum_{\epsilon_{k}=\pm1}{e^{i(\epsilon_1+2\epsilon_2+\cdots+m\epsilon_m)x}}$

Multiplication of a vector by an orthogonal matrix

Is this an empty product?

Why is $ \prod_{n=0}^{N-1} u[x_n + \theta] - u[x_n-\theta] = u[\theta - \max(|x_n| )]$?

What are the prime divisors of $\det(A_n)$, where $A_n$ is the $n\times n$ matrix given by $(A_n)_{i,j}={n\choose|i-j|}$?

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