Question

Maximum of two standard normal distribution

score 1.5k · Answer 1 · 2022-09-09 11:53:20

1.5k

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Maximum of two standard normal distribution

Published on 09 Sep 2022 - 11:53

score 102 · Answer 2 · 2022-09-14 12:55:48

102

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Inequality including the minimum value of the Gamma function and the Champernowne constant .

Published on 14 Sep 2022 - 12:55

score 229 · Answer 3 · 2022-09-14 17:42:55

229

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Conjecture $\lim\limits_{x\to 0}\prod\limits_{n=1}^{\infty}\left(\arctan\left(x^{n}\right)+1\right)^{\frac{1}{x}}=e$

Published on 14 Sep 2022 - 17:42

score 136 · Answer 4 · 2022-09-15 22:11:08

136

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Is there any significance of Euler's number other than being the base for the exponential function?

Published on 15 Sep 2022 - 22:11

score 119 · Answer 5 · 2022-09-18 09:36:27

119

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Show by hand the inequality $\frac{1}{2\ln2}\left(1-\sqrt{\frac{1-\ln2}{1+\ln2}}\right)>\sqrt{2}-1$

Published on 18 Sep 2022 - 9:36

score 63 · Answer 6 · 2026-03-29 20:39:35

63

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What can we say about $S=\sum_{n=1}^{\infty}\frac{1}{n^{2}\operatorname{erf}\left(n\right)}$?

Published on 29 Mar 2026 - 20:39

score 37 · Answer 7 · 2022-10-12 21:44:12

37

Views

Understanding a function $A(W+r)^{b}$.

Published on 12 Oct 2022 - 21:44

score 260 · Answer 8 · 2022-11-01 15:48:26

260

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What are the odds that De Vries' formula for the fine structure constant $\alpha$ is a numerical coincidence?

Published on 01 Nov 2022 - 15:48

score 267 · Answer 9 · 2022-11-13 09:00:52

267

Views

Explanation for repeating numbers $\displaystyle{\sum_{n=1}^{\infty}(-1)^n(n^{1/n}-1)}$ added with smaller and smaller steps of negative powers of 10?

Published on 13 Nov 2022 - 9:00

score 74 · Answer 10 · 2022-11-15 23:08:47

74

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Why does $\sum_{n=0}^{\infty} \frac{\pi^n}{n!} = e^\pi$?

Published on 15 Nov 2022 - 23:08

score 190 · Answer 11 · 2022-12-13 00:02:19

190

Views

Natural number sequences that sum to mathematical constants

Published on 13 Dec 2022 - 0:02

score 218 · Answer 12 · 2022-12-14 03:41:49

218

Views

On the solvable octic $x^8-44x-33 = 0$ and the tribonacci constant

Published on 14 Dec 2022 - 3:41

score 380 · Answer 13 · 2022-12-14 19:08:42

380

Views

Arbitrary Constants in Differential Equations

Published on 14 Dec 2022 - 19:08

score 190 · Answer 14 · 2026-03-25 19:25:17

190

Views

On the tribonacci constant with $\cos(2\pi\,k/11)$, plastic constant with $\cos(2\pi\,k/23)$, and others

Published on 25 Mar 2026 - 19:25

score 324 · Answer 15 · 2022-12-18 11:42:50

324

Views

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

Published on 18 Dec 2022 - 11:42

List Question

Maximum of two standard normal distribution

Inequality including the minimum value of the Gamma function and the Champernowne constant .

Conjecture $\lim\limits_{x\to 0}\prod\limits_{n=1}^{\infty}\left(\arctan\left(x^{n}\right)+1\right)^{\frac{1}{x}}=e$

Is there any significance of Euler's number other than being the base for the exponential function?

Show by hand the inequality $\frac{1}{2\ln2}\left(1-\sqrt{\frac{1-\ln2}{1+\ln2}}\right)>\sqrt{2}-1$

What can we say about $S=\sum_{n=1}^{\infty}\frac{1}{n^{2}\operatorname{erf}\left(n\right)}$?

Understanding a function $A(W+r)^{b}$.

What are the odds that De Vries' formula for the fine structure constant $\alpha$ is a numerical coincidence?

Explanation for repeating numbers $\displaystyle{\sum_{n=1}^{\infty}(-1)^n(n^{1/n}-1)}$ added with smaller and smaller steps of negative powers of 10?

Why does $\sum_{n=0}^{\infty} \frac{\pi^n}{n!} = e^\pi$?

Natural number sequences that sum to mathematical constants

On the solvable octic $x^8-44x-33 = 0$ and the tribonacci constant

Arbitrary Constants in Differential Equations

On the tribonacci constant with $\cos(2\pi\,k/11)$, plastic constant with $\cos(2\pi\,k/23)$, and others

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

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