Question

Can a differential equation result in a tetrational growth?

score 182 · Answer 1 · 2021-09-09 10:48:28

182

Views

Can a differential equation result in a tetrational growth?

Published on 09 Sep 2021 - 10:48

score 412 · Answer 2 · 2021-09-13 02:32:05

412

Views

Can $\int\limits_0^\infty e^{ix^ x}dx$ be written without a limit?

Published on 13 Sep 2021 - 2:32

score 53 · Answer 3 · 2021-09-27 06:05:55

53

Views

Question about complex number infinite tetrations

Published on 27 Sep 2021 - 6:05

score 241 · Answer 4 · 2021-09-27 13:22:05

241

Views

Is there a way to write the $n^\text{th}$ super root in terms of the lambert W function?

Published on 27 Sep 2021 - 13:22

score 198 · Answer 5 · 2021-10-23 12:52:56

198

Views

Could someone explain why $\sum_{\substack{a_1,\ldots,a_n\in\mathbb{N}_0\\a_1+\cdots+a_n=n}}\frac{n!}{a_1!\cdots a_n!}=n^n$?

Published on 23 Oct 2021 - 12:52

score 3.4k · Answer 6 · 2026-03-25 20:08:14

3.4k

Views

Why are tetrations not useful?

Published on 25 Mar 2026 - 20:08

score 146 · Answer 7 · 2026-03-25 20:20:28

146

Views

Evaluating negative infinite tetration: $\lim\limits_{n\to-\infty}\,^n x=\lim_{n\to\infty}\underbrace{\log_x\left(…\log_x(0)\right)}_n=\,^{-\infty} x$

Published on 25 Mar 2026 - 20:20

score 178 · Answer 8 · 2021-12-10 05:18:27

178

Views

Did I prove $\;{^{n}2} \equiv {^{n-1}2} $ $\,$ mod $n\;\;\;$ for $\;n \geq 2\;$?

Published on 10 Dec 2021 - 5:18

score 65 · Answer 9 · 2021-12-12 17:48:42

65

Views

Why is $\sum_{n\ge1}\frac{\text B_\frac n2(-n,n)}{n^a b^n }=-\sum_{n\ge1}\frac{\left(\frac 2n-1\right)^n}{n^{a+1}b^n}$ close to (reciprocal) integers?

Published on 12 Dec 2021 - 17:48

score 120 · Answer 10 · 2021-12-17 01:41:47

120

Views

Examples of closed forms of integrals with a power tower argument using W-Lambert function.

Published on 17 Dec 2021 - 1:41

score 127 · Answer 11 · 2026-02-23 12:06:23

127

Views

Is there a proof showing super roots and super logarithms won't lead to a solution for the quintic?

Published on 23 Feb 2026 - 12:06

score 89 · Answer 12 · 2022-03-02 05:01:43

89

Views

Can we generalize the tetration to the real or complex numbers?

Published on 02 Mar 2022 - 5:01

score 374 · Answer 13 · 2022-03-15 17:49:36

374

Views

Is field of complex numbers closed under tetration?

Published on 15 Mar 2022 - 17:49

score 141 · Answer 14 · 2022-03-28 20:52:34

141

Views

Does anyone know if it's possible to solve $x^x=x+1$ in terms of $x$?

Published on 28 Mar 2022 - 20:52

score 274 · Answer 15 · 2022-04-12 11:15:43

274

Views

General Rule for Differentiation of Tetrations

Published on 12 Apr 2022 - 11:15

List Question

Can a differential equation result in a tetrational growth?

Can $\int\limits_0^\infty e^{ix^ x}dx$ be written without a limit?

Question about complex number infinite tetrations

Is there a way to write the $n^\text{th}$ super root in terms of the lambert W function?

Could someone explain why $\sum_{\substack{a_1,\ldots,a_n\in\mathbb{N}_0\\a_1+\cdots+a_n=n}}\frac{n!}{a_1!\cdots a_n!}=n^n$?

Why are tetrations not useful?

Evaluating negative infinite tetration: $\lim\limits_{n\to-\infty}\,^n x=\lim_{n\to\infty}\underbrace{\log_x\left(…\log_x(0)\right)}_n=\,^{-\infty} x$

Did I prove $\;{^{n}2} \equiv {^{n-1}2} $ $\,$ mod $n\;\;\;$ for $\;n \geq 2\;$?

Why is $\sum_{n\ge1}\frac{\text B_\frac n2(-n,n)}{n^a b^n }=-\sum_{n\ge1}\frac{\left(\frac 2n-1\right)^n}{n^{a+1}b^n}$ close to (reciprocal) integers?

Examples of closed forms of integrals with a power tower argument using W-Lambert function.

Is there a proof showing super roots and super logarithms won't lead to a solution for the quintic?

Can we generalize the tetration to the real or complex numbers?

Is field of complex numbers closed under tetration?

Does anyone know if it's possible to solve $x^x=x+1$ in terms of $x$?

General Rule for Differentiation of Tetrations

Trending Questions

Popular # Hahtags

Popular Questions