Question

Induction and convergence of an inequality: $\frac{1\cdot3\cdot5\cdots(2n-1)}{2\cdot4\cdot6\cdots(2n)}\leq \frac{1}{\sqrt{2n+1}}$

score 494 · Answer 1 · 2013-06-27 23:22:19

494

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Induction and convergence of an inequality: $\frac{1\cdot3\cdot5\cdots(2n-1)}{2\cdot4\cdot6\cdots(2n)}\leq \frac{1}{\sqrt{2n+1}}$

Published on 27 Jun 2013 - 23:22

score 48 · Answer 2 · 2013-07-08 09:32:21

48

Views

Efficient way to compute $n$ products of $n$ numbers

Published on 08 Jul 2013 - 9:32

score 438 · Answer 3 · 2013-07-09 18:18:30

438

Views

General expression for $\sin(2^n x)$

Published on 09 Jul 2013 - 18:18

score 134 · Answer 4 · 2013-07-11 05:04:57

134

Views

Why is $V_{4}$ the semi direct product of $Z_{2}$× $Z_{2}$

Published on 11 Jul 2013 - 5:04

score 2.1k · Answer 5 · 2013-07-13 19:23:11

2.1k

Views

How to go from a sum to a product and a product to a sum?

Published on 13 Jul 2013 - 19:23

score 82 · Answer 6 · 2013-07-17 11:31:51

82

Views

Passage not understood in a Physics formula

Published on 17 Jul 2013 - 11:31

score 56 · Answer 7 · 2013-07-18 21:04:45

56

Views

Continuing direct product on a subcategory

Published on 18 Jul 2013 - 21:04

score 132 · Answer 8 · 2013-07-18 22:20:09

132

Views

Different direct product in a category and its full subcategory

Published on 18 Jul 2013 - 22:20

score 2.8k · Answer 9 · 2026-04-01 06:30:46

2.8k

Views

How to prove that $\frac{\sin \pi x}{\pi x}=\prod_{n=1}^{\infty}(1-\frac{x^2}{n^2})$

Published on 01 Apr 2026 - 6:30

score 3.8k · Answer 10 · 2013-07-19 19:11:54

3.8k

Views

Whats the diffrence between Products and Coproducts

Published on 19 Jul 2013 - 19:11

score 137 · Answer 11 · 2026-04-01 06:31:47

137

Views

What does $\displaystyle\prod_{n\geq 1} \frac{n-z}{n+z}$ converge to?

Published on 01 Apr 2026 - 6:31

score 434 · Answer 12 · 2013-07-24 18:00:24

434

Views

Why does $(-1) \times (-1)$ give +1?

Published on 24 Jul 2013 - 18:00

score 309 · Answer 13 · 2013-07-25 00:29:32

309

Views

Product representations of the factorial function?

Published on 25 Jul 2013 - 0:29

score 25k · Answer 14 · 2013-07-29 08:26:33

25k

Views

Why is there no explicit formula for the factorial?

Published on 29 Jul 2013 - 8:26

score 1.3k · Answer 15 · 2013-08-08 18:15:54

1.3k

Views

Is my proof correct? (the product $\prod_{n=1}^\infty (1+\frac{z}{n} ) \mathrm{e}^{-\frac{z}{n}}$ converges absolutely and uniformly on compact sets.)

Published on 08 Aug 2013 - 18:15

List Question

Induction and convergence of an inequality: $\frac{1\cdot3\cdot5\cdots(2n-1)}{2\cdot4\cdot6\cdots(2n)}\leq \frac{1}{\sqrt{2n+1}}$

Efficient way to compute $n$ products of $n$ numbers

General expression for $\sin(2^n x)$

Why is $V_{4}$ the semi direct product of $Z_{2}$× $Z_{2}$

How to go from a sum to a product and a product to a sum?

Passage not understood in a Physics formula

Continuing direct product on a subcategory

Different direct product in a category and its full subcategory

How to prove that $\frac{\sin \pi x}{\pi x}=\prod_{n=1}^{\infty}(1-\frac{x^2}{n^2})$

Whats the diffrence between Products and Coproducts

What does $\displaystyle\prod_{n\geq 1} \frac{n-z}{n+z}$ converge to?

Why does $(-1) \times (-1)$ give +1?

Product representations of the factorial function?

Why is there no explicit formula for the factorial?

Is my proof correct? (the product $\prod_{n=1}^\infty (1+\frac{z}{n} ) \mathrm{e}^{-\frac{z}{n}}$ converges absolutely and uniformly on compact sets.)

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