Question

Neighborhood basis in product topology

score 91 · Answer 1 · 2022-11-13 20:05:03

91

Views

Neighborhood basis in product topology

Published on 13 Nov 2022 - 20:05

score 30 · Answer 2 · 2022-11-15 02:18:28

30

Views

Multiplication operations on sets - Which makes the distributive law hold?

Published on 15 Nov 2022 - 2:18

score 296 · Answer 3 · 2026-04-03 18:18:21

296

Views

Double infinite product $\prod_\limits{0<i<j<\infty} \left\{i^{\frac{1}{i}} - j^{\frac{1}{j}}\right\}$

Published on 03 Apr 2026 - 18:18

score 135 · Answer 4 · 2026-03-28 03:35:04

135

Views

How can I prove that this matrix is idempotent?

Published on 28 Mar 2026 - 3:35

score 31 · Answer 5 · 2022-11-28 00:56:04

31

Views

Closed-form value of a product $\prod_{i = 2}^n (1 + \frac{p}{i})$ with $0 \leq p \leq 2$

Published on 28 Nov 2022 - 0:56

score 87 · Answer 6 · 2022-12-01 16:29:52

87

Views

The result of Big Pi notation "without any element".

Published on 01 Dec 2022 - 16:29

score 38 · Answer 7 · 2022-12-01 18:09:10

38

Views

Looking for a closed form expression of $\prod_{n=1}^{m}(n!)^n$ or $\prod_{n=1}^{m}n^{-n^2}$

Published on 01 Dec 2022 - 18:09

score 57 · Answer 8 · 2022-12-05 20:06:52

57

Views

Difficulty in solving an exercise about why product/coproduct is needed for 'words on the alphabet'.

Published on 05 Dec 2022 - 20:06

score 70 · Answer 9 · 2022-12-06 11:44:12

70

Views

Prove and generalize $\cos\frac\pi9\cos\frac{2\pi}9\cos\frac{3\pi}9\cos\frac{4\pi}9=\frac1{16}$

Published on 06 Dec 2022 - 11:44

score 74 · Answer 10 · 2022-12-08 05:10:46

74

Views

Proving $\prod_{k=1}^{N} \left(1 - \frac{1}{k+1}\right) = \frac{1}{1+N}$

Published on 08 Dec 2022 - 5:10

score 102 · Answer 11 · 2022-12-11 12:58:39

102

Views

Proving $\prod_{j=1}^n(1-\prod_{i=1}^m\sin^2x_{ij})+\prod_{i=1}^m(1-\prod_{j=1}^n\cos^2x_{ij})\geq1$, for real numbers $x_{ij}$

Published on 11 Dec 2022 - 12:58

score 365 · Answer 12 · 2022-12-12 14:01:15

365

Views

Is this just a coincidence? Expectation of product of areas in unit circle equals $\pi^2/6$, the answer to the Basel problem.

Published on 12 Dec 2022 - 14:01

score 325 · Answer 13 · 2026-03-30 09:52:30

325

Views

How to find the constant $C$ such that $f(x)\geq Cx$

Published on 30 Mar 2026 - 9:52

score 127 · Answer 14 · 2022-12-27 13:59:52

127

Views

Recursive formula for the derivative of the product

Published on 27 Dec 2022 - 13:59

score 78 · Answer 15 · 2022-12-31 12:40:53

78

Views

$G \times H$ regular $\implies G $ and $H$ regular?

Published on 31 Dec 2022 - 12:40

List Question

Neighborhood basis in product topology

Multiplication operations on sets - Which makes the distributive law hold?

Double infinite product $\prod_\limits{0<i<j<\infty} \left\{i^{\frac{1}{i}} - j^{\frac{1}{j}}\right\}$

How can I prove that this matrix is idempotent?

Closed-form value of a product $\prod_{i = 2}^n (1 + \frac{p}{i})$ with $0 \leq p \leq 2$

The result of Big Pi notation "without any element".

Looking for a closed form expression of $\prod_{n=1}^{m}(n!)^n$ or $\prod_{n=1}^{m}n^{-n^2}$

Difficulty in solving an exercise about why product/coproduct is needed for 'words on the alphabet'.

Prove and generalize $\cos\frac\pi9\cos\frac{2\pi}9\cos\frac{3\pi}9\cos\frac{4\pi}9=\frac1{16}$

Proving $\prod_{k=1}^{N} \left(1 - \frac{1}{k+1}\right) = \frac{1}{1+N}$

Proving $\prod_{j=1}^n(1-\prod_{i=1}^m\sin^2x_{ij})+\prod_{i=1}^m(1-\prod_{j=1}^n\cos^2x_{ij})\geq1$, for real numbers $x_{ij}$

Is this just a coincidence? Expectation of product of areas in unit circle equals $\pi^2/6$, the answer to the Basel problem.

How to find the constant $C$ such that $f(x)\geq Cx$

Recursive formula for the derivative of the product

$G \times H$ regular $\implies G $ and $H$ regular?

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