List questions from experimental-mathematics

Published on 06 Oct 2016 - 15:26

74

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Is this plot linear in the same way the Chebyshev function is linear?

Published on 30 Oct 2016 - 17:32

245

Views

Why does this particular ratio of prime numbers seems to converge to 3?

Published on 03 Nov 2016 - 11:22

803

Views

On Reshetnikov's integral $\int_0^1\frac{dx}{\sqrt[3]x\ \sqrt[6]{1-x}\ \sqrt{1-x\,\alpha^2}}=\frac{1}{N}\,\frac{2\pi}{\sqrt{3}\,|\alpha|}$

Published on 30 Nov 2016 - 9:02

1.1k

Views

On the integral $\int_0^1\frac{dx}{\sqrt[4]x\ \sqrt{1-x}\ \sqrt[4]{1-x\,\gamma^2}}=\frac{1}{N}\,\frac{2\pi}{\sqrt{2\gamma}}$

Published on 30 Nov 2016 - 15:10

433

Views

On $_2F_1(\tfrac13,\tfrac23;\tfrac56;\tfrac{27}{32}) = \tfrac85$ and $_2F_1(\tfrac14,\tfrac34;\tfrac78;\tfrac{48}{49}) = \tfrac{\sqrt7}3(1+\sqrt2)$

Published on 23 Dec 2016 - 17:13

258

Views

What is the relationship between the empirical variance from the sampled data and its true variance?

Published on 30 Dec 2016 - 15:06

847

Views

Definition of significant figures

Published on 16 Jan 2017 - 5:17

460

Views

How are Trott constants found; are there mathematical results?

Published on 20 Jan 2017 - 23:56

100

Views

Describing the path of a particle on a wheel that changes direction

Published on 25 Jan 2017 - 20:47

56

Views

Why do we need to divide?

Published on 25 Feb 2017 - 9:58

225

Views

Finding the day of the same date of previous month?

Published on 03 Mar 2017 - 23:52

110

Views

How can we show that $\sum_{k=1}^{n}{2n+2\choose 2k}B_{2k}=n?$

Published on 18 Mar 2017 - 6:29

357

Views

What is correlation dimension, actually?

Published on 03 Feb 2023 - 19:19

114

Views

On the elliptic curve $u(u+2186^2)(u+2188^2)=v^2$ and 7th powers?

Published on 20 Feb 2023 - 3:53

List Question

Fit arc of spiral given segments

Is this plot linear in the same way the Chebyshev function is linear?

Why does this particular ratio of prime numbers seems to converge to 3?

On Reshetnikov's integral $\int_0^1\frac{dx}{\sqrt[3]x\ \sqrt[6]{1-x}\ \sqrt{1-x\,\alpha^2}}=\frac{1}{N}\,\frac{2\pi}{\sqrt{3}\,|\alpha|}$

On the integral $\int_0^1\frac{dx}{\sqrt[4]x\ \sqrt{1-x}\ \sqrt[4]{1-x\,\gamma^2}}=\frac{1}{N}\,\frac{2\pi}{\sqrt{2\gamma}}$

On $_2F_1(\tfrac13,\tfrac23;\tfrac56;\tfrac{27}{32}) = \tfrac85$ and $_2F_1(\tfrac14,\tfrac34;\tfrac78;\tfrac{48}{49}) = \tfrac{\sqrt7}3(1+\sqrt2)$

What is the relationship between the empirical variance from the sampled data and its true variance?

Definition of significant figures

How are Trott constants found; are there mathematical results?

Describing the path of a particle on a wheel that changes direction

Why do we need to divide?

Finding the day of the same date of previous month?

How can we show that $\sum_{k=1}^{n}{2n+2\choose 2k}B_{2k}=n?$

What is correlation dimension, actually?

On the elliptic curve $u(u+2186^2)(u+2188^2)=v^2$ and 7th powers?

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