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Question on the product topology as the coarsest topology so that projections are continuous

score 142 · Answer 1 · 2020-05-06 14:23:34

142

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Question on the product topology as the coarsest topology so that projections are continuous

Published on 06 May 2020 - 14:23

score 94 · Answer 2 · 2026-03-28 22:28:23

94

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Why $\frac{\sin(x)}{x} = (1-\frac{x^2}{\pi^2})(1-\frac{x^2}{4\pi^2})...$

Published on 28 Mar 2026 - 22:28

score 64 · Answer 3 · 2020-05-09 04:30:39

64

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How can I show that this product is equal to a product of Gamma functions?

Published on 09 May 2020 - 4:30

score 92 · Answer 4 · 2026-03-25 12:46:25

92

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Show that this inequality is true

Published on 25 Mar 2026 - 12:46

score 283 · Answer 5 · 2026-03-26 01:28:37

283

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Is there a relationship between the standard vector cross product and the vector cap product?

Published on 26 Mar 2026 - 1:28

score 40 · Answer 6 · 2020-05-12 14:30:02

40

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How to check if a number can be represented as product of 2 consecutice numbers?

Published on 12 May 2020 - 14:30

score 313 · Answer 7 · 2026-03-29 18:36:29

313

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Quotient of cartesian product by the right action of a group

Published on 29 Mar 2026 - 18:36

score 72 · Answer 8 · 2020-05-14 11:17:22

72

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Is $\prod\limits_{p}{p^\frac{1}{p}}$ convergent?

Published on 14 May 2020 - 11:17

score 128 · Answer 9 · 2026-03-25 08:12:54

128

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Any example of measurable spaces where the measurable rectangles form an algebra on the product space?

Published on 25 Mar 2026 - 8:12

score 153 · Answer 10 · 2026-03-28 22:27:01

153

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Does $\prod_{m=1}^\infty \frac{1}{m^2}$ have a closed form?

Published on 28 Mar 2026 - 22:27

score 101 · Answer 11 · 2026-03-25 04:43:22

101

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Prove that $\frac{1}{2020} < \frac{1}{2} \times \frac{3}{4} \times \frac{5}{6} \times ... \times \frac{2019}{2020} < \frac{1}{44}$

Published on 25 Mar 2026 - 4:43

score 27 · Answer 12 · 2020-05-16 17:11:05

27

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How do I make a $\prod$ function explicit?

Published on 16 May 2020 - 17:11

score 58 · Answer 13 · 2020-05-17 22:09:25

Calculate the product: $(\sin\frac{\pi}{12} + i\cos\frac{\pi}{12}) (\sin\frac{\pi}{6} + i\cos\frac{\pi}{6}) (\sin\frac{\pi}{4} + i\cos\frac{\pi}{4})$

score 83 · Answer 14 · 2020-05-21 14:40:39

83

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closed form for $\prod_{k=0}^{n}\left(1-2\alpha \cos\frac{2\pi k}{n}\right) $

Published on 21 May 2020 - 14:40

score 56 · Answer 15 · 2020-05-22 10:34:09

56

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How would I write the product of something whilst also omitting an element?

Published on 22 May 2020 - 10:34

List Question

Question on the product topology as the coarsest topology so that projections are continuous

Why $\frac{\sin(x)}{x} = (1-\frac{x^2}{\pi^2})(1-\frac{x^2}{4\pi^2})...$

How can I show that this product is equal to a product of Gamma functions?

Show that this inequality is true

Is there a relationship between the standard vector cross product and the vector cap product?

How to check if a number can be represented as product of 2 consecutice numbers?

Quotient of cartesian product by the right action of a group

Is $\prod\limits_{p}{p^\frac{1}{p}}$ convergent?

Any example of measurable spaces where the measurable rectangles form an algebra on the product space?

Does $\prod_{m=1}^\infty \frac{1}{m^2}$ have a closed form?

Prove that $\frac{1}{2020} < \frac{1}{2} \times \frac{3}{4} \times \frac{5}{6} \times ... \times \frac{2019}{2020} < \frac{1}{44}$

How do I make a $\prod$ function explicit?

Calculate the product: $(\sin\frac{\pi}{12} + i\cos\frac{\pi}{12}) (\sin\frac{\pi}{6} + i\cos\frac{\pi}{6}) (\sin\frac{\pi}{4} + i\cos\frac{\pi}{4})$

closed form for $\prod_{k=0}^{n}\left(1-2\alpha \cos\frac{2\pi k}{n}\right) $

How would I write the product of something whilst also omitting an element?

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