Question

Induction Inequality Proof with Product Operator $\prod_{k=1}^{n} \frac{(2k-1)}{2k} \leq \frac{1}{\sqrt{3k+1}}$

score 1.6k · Answer 1 · 2015-11-01 13:58:43

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Induction Inequality Proof with Product Operator $\prod_{k=1}^{n} \frac{(2k-1)}{2k} \leq \frac{1}{\sqrt{3k+1}}$

Published on 01 Nov 2015 - 13:58

score 185 · Answer 2 · 2015-11-04 04:04:31

185

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Undoing Capital Pi

Published on 04 Nov 2015 - 4:04

score 3.3k · Answer 3 · 2026-04-01 05:05:22

3.3k

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Product of numbers is even , when an unbiased die rolled?

Published on 01 Apr 2026 - 5:05

score 91 · Answer 4 · 2026-04-01 03:47:02

91

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$n$ integers, $a_i a_j +1$ all perfect squares

Published on 01 Apr 2026 - 3:47

score 106 · Answer 5 · 2015-11-05 23:53:36

106

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Prove that the product $\prod_{i=1}^n \left(1-(1/2)^i\right)\ge\left (1/4 + 1/2^{n+1}\right)$ for any integer $n$

Published on 05 Nov 2015 - 23:53

score 1.1k · Answer 6 · 2026-03-30 20:55:33

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Let $f(x)=1/x$ and prove that $f[x_0,x_1,...,x_n]=\prod_{i=0}^nx_i^{-1}$.

Published on 30 Mar 2026 - 20:55

score 18 · Answer 7 · 2015-11-08 20:11:38

18

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How can I prove the following inequality?

Published on 08 Nov 2015 - 20:11

score 37 · Answer 8 · 2015-11-09 19:05:18

37

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Result of product with n=0

Published on 09 Nov 2015 - 19:05

score 33 · Answer 9 · 2015-11-11 06:25:04

33

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Does this vector product, based on indexing with a powerset, have a name?

Published on 11 Nov 2015 - 6:25

score 505 · Answer 10 · 2015-11-12 05:40:27

505

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Why is this sum equal to $0$?

Published on 12 Nov 2015 - 5:40

score 182 · Answer 11 · 2015-11-13 03:00:46

182

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How to show that the determinant of this matrix is in a nice product factorization,

Published on 13 Nov 2015 - 3:00

score 127 · Answer 12 · 2015-11-13 16:51:50

127

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limit of $\lim_{n \to \infty}\prod\limits_{k=0}^{\frac{n}{2}-1} \left(1-\frac{1}{2k+2} \right)$

Published on 13 Nov 2015 - 16:51

score 24 · Answer 13 · 2015-11-14 01:43:19

24

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Is this product of two product factorizations correct?

Published on 14 Nov 2015 - 1:43

score 114 · Answer 14 · 2015-11-14 17:44:13

114

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Product of improper integrable riemann function and integrable function.

Published on 14 Nov 2015 - 17:44

score 3.3k · Answer 15 · 2015-11-15 10:54:44

3.3k

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Spectrum of infinite product of rings

Published on 15 Nov 2015 - 10:54

List Question

Induction Inequality Proof with Product Operator $\prod_{k=1}^{n} \frac{(2k-1)}{2k} \leq \frac{1}{\sqrt{3k+1}}$

Undoing Capital Pi

Product of numbers is even , when an unbiased die rolled?

$n$ integers, $a_i a_j +1$ all perfect squares

Prove that the product $\prod_{i=1}^n \left(1-(1/2)^i\right)\ge\left (1/4 + 1/2^{n+1}\right)$ for any integer $n$

Let $f(x)=1/x$ and prove that $f[x_0,x_1,...,x_n]=\prod_{i=0}^nx_i^{-1}$.

How can I prove the following inequality?

Result of product with n=0

Does this vector product, based on indexing with a powerset, have a name?

Why is this sum equal to $0$?

How to show that the determinant of this matrix is in a nice product factorization,

limit of $\lim_{n \to \infty}\prod\limits_{k=0}^{\frac{n}{2}-1} \left(1-\frac{1}{2k+2} \right)$

Is this product of two product factorizations correct?

Product of improper integrable riemann function and integrable function.

Spectrum of infinite product of rings

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