Question

How do I put this in product notation?

score 52 · Answer 1 · 2022-01-27 13:34:01

52

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How do I put this in product notation?

Published on 27 Jan 2022 - 13:34

score 379 · Answer 2 · 2022-01-30 20:09:50

379

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Area of a circle as sum of infinite squares

Published on 30 Jan 2022 - 20:09

score 147 · Answer 3 · 2022-02-01 13:48:46

147

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Approximating factorial using identity $\frac{1}{x}!\frac{2}{x}!\cdots\cdot\frac{x}{x}!=\frac{ {x}!\cdot(2\pi)^{\frac{x-1}{2}} }{ x^x\cdot\sqrt{x} }$

Published on 01 Feb 2022 - 13:48

score 78 · Answer 4 · 2022-02-18 23:25:05

78

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is it $e^\pi<\pi^e$ or $\pi^e<e^\pi$? and how do we prove it?

Published on 18 Feb 2022 - 23:25

score 67 · Answer 5 · 2022-02-27 14:01:47

67

Views

is there any size of a circle where the area is an integer and the radius is an integer?

Published on 27 Feb 2022 - 14:01

score 69 · Answer 6 · 2026-04-04 10:54:49

69

Views

Estimating Pi by Throwing Bread

Published on 04 Apr 2026 - 10:54

score 81 · Answer 7 · 2022-03-14 13:56:38

81

Views

Prove that $\pi < \sqrt2 + \sqrt3$

Published on 14 Mar 2022 - 13:56

score 166 · Answer 8 · 2026-03-31 21:33:14

166

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Ratio between circumference and "radius" of a polygon

Published on 31 Mar 2026 - 21:33

score 199 · Answer 9 · 2026-02-23 21:14:34

199

Views

Estimate: $\pi \to e \to \log(2) \to G$ by sampling uniform distribution

Published on 23 Feb 2026 - 21:14

score 1k · Answer 10 · 2022-04-01 23:31:48

1k

Views

Is $5^\pi$ an integer?

Published on 01 Apr 2022 - 23:31

score 286 · Answer 11 · 2022-04-03 13:10:02

286

Views

What is the strange pattern in the behaviour of this approximation of pi?

Published on 03 Apr 2022 - 13:10

score 164 · Answer 12 · 2026-03-26 14:42:06

164

Views

How to prove that $k^{\pi}$ is not an integer for any integer $k\geq 2$?

Published on 26 Mar 2026 - 14:42

score 57 · Answer 13 · 2022-04-06 07:58:43

57

Views

Are these numbers $\xi_1$ and $\xi_2$ writable exploiting other mathematical constants?

Published on 06 Apr 2022 - 7:58

score 76 · Answer 14 · 2022-04-06 13:17:55

76

Views

William Shanks incomplete algorithm for computing $\pi$ with different initial angle

Published on 06 Apr 2022 - 13:17

score 145 · Answer 15 · 2026-03-31 07:08:49

145

Views

General formula for the upper bound of pi involving nested square roots (circumscribed perimeters of regular polygons)

Published on 31 Mar 2026 - 7:08

List Question

How do I put this in product notation?

Area of a circle as sum of infinite squares

Approximating factorial using identity $\frac{1}{x}!\frac{2}{x}!\cdots\cdot\frac{x}{x}!=\frac{ {x}!\cdot(2\pi)^{\frac{x-1}{2}} }{ x^x\cdot\sqrt{x} }$

is it $e^\pi<\pi^e$ or $\pi^e<e^\pi$? and how do we prove it?

is there any size of a circle where the area is an integer and the radius is an integer?

Estimating Pi by Throwing Bread

Prove that $\pi < \sqrt2 + \sqrt3$

Ratio between circumference and "radius" of a polygon

Estimate: $\pi \to e \to \log(2) \to G$ by sampling uniform distribution

Is $5^\pi$ an integer?

What is the strange pattern in the behaviour of this approximation of pi?

How to prove that $k^{\pi}$ is not an integer for any integer $k\geq 2$?

Are these numbers $\xi_1$ and $\xi_2$ writable exploiting other mathematical constants?

William Shanks incomplete algorithm for computing $\pi$ with different initial angle

General formula for the upper bound of pi involving nested square roots (circumscribed perimeters of regular polygons)

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