Question

Closed form for $\prod_{j=1}^n\prod_{k=1}^{m_{j}-1} (x_j-kN^{-1})$

score 57 · Answer 1 · 2022-01-29 20:56:34

57

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Closed form for $\prod_{j=1}^n\prod_{k=1}^{m_{j}-1} (x_j-kN^{-1})$

Published on 29 Jan 2022 - 20:56

score 50 · Answer 2 · 2026-04-03 06:47:45

50

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Suppose $A=\sum_{k=0}^{\infty}f(k)=B\prod_{n=0}^{\infty}g(n)$. If $A$ and $f(k)$ are known, how to find $B$ and $g(n)$?

Published on 03 Apr 2026 - 6:47

score 97 · Answer 3 · 2022-02-03 23:12:11

97

Views

Conditional Probability of a Product of Probabilities

Published on 03 Feb 2022 - 23:12

score 158 · Answer 4 · 2022-02-04 05:27:57

158

Views

Can we somehow compute $(z^2 - 1)(z^2 - 4)(z^2 - 9)(z^2 - 16) \cdots (z^2 - k^2)$ in half the number of operations?

Published on 04 Feb 2022 - 5:27

score 42 · Answer 5 · 2026-04-04 09:23:20

42

Views

How to estimate the value of this absolute sum?

Published on 04 Apr 2026 - 9:23

score 35 · Answer 6 · 2022-02-08 09:29:44

35

Views

Product term as a constant

Published on 08 Feb 2022 - 9:29

score 66 · Answer 7 · 2022-02-13 21:46:42

66

Views

convert product to summation

Published on 13 Feb 2022 - 21:46

score 89 · Answer 8 · 2026-04-05 21:45:17

89

Views

Formulating an alternating sum of product combinations

Published on 05 Apr 2026 - 21:45

score 46 · Answer 9 · 2022-02-17 22:58:35

46

Views

Proving sum/product identity without using the determinant

Published on 17 Feb 2022 - 22:58

score 144 · Answer 10 · 2026-03-27 16:26:54

144

Views

Product of Binomial coeficients

Published on 27 Mar 2026 - 16:26

score 73 · Answer 11 · 2022-02-21 06:07:21

73

Views

$X$ and $Y$ are iid. and $XY$ is Normal distributed. What distribution does $X$ and $Y$ have?

Published on 21 Feb 2022 - 6:07

score 128 · Answer 12 · 2022-02-25 07:59:24

128

Views

Confusion on the definitions of product topology

Published on 25 Feb 2022 - 7:59

score 39 · Answer 13 · 2026-03-27 04:24:17

39

Views

Gelfand's corrolaries counterexample?

Published on 27 Mar 2026 - 4:24

score 152 · Answer 14 · 2026-03-26 13:30:28

152

Views

Canceling out two sums with inside product problem

Published on 26 Mar 2026 - 13:30

score 373 · Answer 15 · 2022-03-06 18:03:23

373

Views

What is the use of product and co-product in category theory? What is special about categories closed under (finite) products and co-products?

Published on 06 Mar 2022 - 18:03

List Question

Closed form for $\prod_{j=1}^n\prod_{k=1}^{m_{j}-1} (x_j-kN^{-1})$

Suppose $A=\sum_{k=0}^{\infty}f(k)=B\prod_{n=0}^{\infty}g(n)$. If $A$ and $f(k)$ are known, how to find $B$ and $g(n)$?

Conditional Probability of a Product of Probabilities

Can we somehow compute $(z^2 - 1)(z^2 - 4)(z^2 - 9)(z^2 - 16) \cdots (z^2 - k^2)$ in half the number of operations?

How to estimate the value of this absolute sum?

Product term as a constant

convert product to summation

Formulating an alternating sum of product combinations

Proving sum/product identity without using the determinant

Product of Binomial coeficients

$X$ and $Y$ are iid. and $XY$ is Normal distributed. What distribution does $X$ and $Y$ have?

Confusion on the definitions of product topology

Gelfand's corrolaries counterexample?

Canceling out two sums with inside product problem

What is the use of product and co-product in category theory? What is special about categories closed under (finite) products and co-products?

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