Question

Two minor questions about a transcendental number over $\Bbb Q$

score 63 · Answer 1 · 2026-03-14 13:14:22

63

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Two minor questions about a transcendental number over $\Bbb Q$

Published on 14 Mar 2026 - 13:14

score 94 · Answer 2 · 2026-03-16 22:14:58

94

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identity for finding value of $\pi$

Published on 16 Mar 2026 - 22:14

score 75 · Answer 3 · 2026-03-15 03:32:56

75

Views

Extension of field, $\Bbb{R}(i \pi) = \Bbb{C} $

Published on 15 Mar 2026 - 3:32

score 169 · Answer 4 · 2026-03-15 13:32:38

169

Views

ls $\sqrt{2}+\sqrt{3}$ the only sum of two irrational which close to $\pi$?

Published on 15 Mar 2026 - 13:32

score 356 · Answer 5 · 2026-03-14 16:25:28

356

Views

Is it possible to express $\pi$ as $a^b$ for $a$ and $b$ non-transcendental numbers?

Published on 14 Mar 2026 - 16:25

score 379 · Answer 6 · 2026-03-14 13:24:48

379

Views

Is there an essential difference between Cartwright's and Niven's proofs of the irrationality of $\pi$?

Published on 14 Mar 2026 - 13:24

score 145 · Answer 7 · 2026-03-14 20:29:59

145

Views

How and where can I calculate $\left(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots\right)\left(1+\frac{1}{2}-\frac{1}{3}-\frac{1}{4}+\cdots\right)?$

Published on 14 Mar 2026 - 20:29

score 186 · Answer 8 · 2026-03-17 22:05:08

186

Views

Is $\frac{5\pi}{6}$ a transcendental or an algebraic number?

Published on 17 Mar 2026 - 22:05

score 1k · Answer 9 · 2026-03-16 22:06:01

1k

Views

Calculating the value of $\pi$

Published on 16 Mar 2026 - 22:06

score 317 · Answer 10 · 2026-03-16 18:10:02

317

Views

Solve for $x, \ \frac{\pi}{5\sqrt{x + 2}} = \frac 12\sum_{i=0}^\infty\frac{(i!)^2}{x^{2i + 1}(2i + 1)!}$

Published on 16 Mar 2026 - 18:10

score 204 · Answer 11 · 2026-03-18 15:09:38

204

Views

How can you determine the accuracy of an equation to generate $\pi$

Published on 18 Mar 2026 - 15:09

score 195 · Answer 12 · 2026-03-21 06:31:57

195

Views

$\sqrt{\frac{\pi e}{2}}=\frac{1}{1+\mathrm{K}_{i=1}^{\infty}{\frac{i}{1}}}+\sum_{n=0}^{\infty}{\frac{1}{(2n+1)!!}}$ implies $\sqrt{\pi e/2}\notin Q$?

Published on 21 Mar 2026 - 6:31

score 131 · Answer 13 · 2026-03-25 04:39:09

131

Views

How often does $\pi$ contain a sequence of digits $x$ at decimal place $x$?

Published on 25 Mar 2026 - 4:39

score 228 · Answer 14 · 2026-03-19 23:39:11

228

Views

Calculating $\pi$: using a spigot and starting from middle

Published on 19 Mar 2026 - 23:39

score 91 · Answer 15 · 2026-03-25 04:36:22

91

Views

Relation between altitudes and three angles and their sides.

Published on 25 Mar 2026 - 4:36

List Question

Two minor questions about a transcendental number over $\Bbb Q$

identity for finding value of $\pi$

Extension of field, $\Bbb{R}(i \pi) = \Bbb{C} $

ls $\sqrt{2}+\sqrt{3}$ the only sum of two irrational which close to $\pi$?

Is it possible to express $\pi$ as $a^b$ for $a$ and $b$ non-transcendental numbers?

Is there an essential difference between Cartwright's and Niven's proofs of the irrationality of $\pi$?

How and where can I calculate $\left(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots\right)\left(1+\frac{1}{2}-\frac{1}{3}-\frac{1}{4}+\cdots\right)?$

Is $\frac{5\pi}{6}$ a transcendental or an algebraic number?

Calculating the value of $\pi$

Solve for $x, \ \frac{\pi}{5\sqrt{x + 2}} = \frac 12\sum_{i=0}^\infty\frac{(i!)^2}{x^{2i + 1}(2i + 1)!}$

How can you determine the accuracy of an equation to generate $\pi$

$\sqrt{\frac{\pi e}{2}}=\frac{1}{1+\mathrm{K}_{i=1}^{\infty}{\frac{i}{1}}}+\sum_{n=0}^{\infty}{\frac{1}{(2n+1)!!}}$ implies $\sqrt{\pi e/2}\notin Q$?

How often does $\pi$ contain a sequence of digits $x$ at decimal place $x$?

Calculating $\pi$: using a spigot and starting from middle

Relation between altitudes and three angles and their sides.

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