List questions from products

Published on 23 Oct 2018 - 14:37

383

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Integral product of polynomials

Published on 23 Oct 2018 - 21:32

86

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What is this product equal to?

Published on 25 Oct 2018 - 11:50

546

Views

Show that $\left(1+\frac{1}{1^3}\right)\left(1+\frac{1}{2^3}\right)\left(1+\frac{1}{3^3}\right)\cdots\left(1+\frac{1}{n^3}\right) < 3$

Published on 25 Oct 2018 - 15:00

180

Views

Closed form for a product of sines

Published on 25 Oct 2018 - 16:38

254

Views

How to prove sine product formula?

Published on 28 Oct 2018 - 20:30

139

Views

Proof of a bizarre identity

Published on 29 Oct 2018 - 8:58

90

Views

Does $\prod_{k=3}^{\infty}\cos\frac{2\pi}{n!}$ have a closed-form solution?

Published on 29 Oct 2018 - 12:05

1.1k

Views

Dot product between two vectors and its independence from reference frame

Published on 31 Oct 2018 - 5:57

462

Views

Definition of cartesian product when the index set is finite

Published on 01 Nov 2018 - 8:55

239

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Show that $\prod_{k=1}^n (n+k) = 2^n \prod_{k=1}^n (2k-1)$ for all $n\in Z^+$

Published on 04 Nov 2018 - 17:07

66

Views

Closed form for product over Gamma function

Published on 07 Nov 2018 - 0:27

144

Views

Inductive proof of Cotes' Theorem

Published on 07 Nov 2018 - 7:11

36

Views

Should dot product must be applied on values of same scale

Published on 10 Nov 2018 - 17:40

49

Views

Prove that $f(\alpha)=A_\alpha$ is injective.

Published on 11 Nov 2018 - 12:23

List Question

Sequence product

Integral product of polynomials

What is this product equal to?

Show that $\left(1+\frac{1}{1^3}\right)\left(1+\frac{1}{2^3}\right)\left(1+\frac{1}{3^3}\right)\cdots\left(1+\frac{1}{n^3}\right) < 3$

Closed form for a product of sines

How to prove sine product formula?

Proof of a bizarre identity

Does $\prod_{k=3}^{\infty}\cos\frac{2\pi}{n!}$ have a closed-form solution?

Dot product between two vectors and its independence from reference frame

Definition of cartesian product when the index set is finite

Show that $\prod_{k=1}^n (n+k) = 2^n \prod_{k=1}^n (2k-1)$ for all $n\in Z^+$

Closed form for product over Gamma function

Inductive proof of Cotes' Theorem

Should dot product must be applied on values of same scale

Prove that $f(\alpha)=A_\alpha$ is injective.

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