List questions from experimental-mathematics

Published on 11 Apr 2026 - 15:43

77

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

Published on 10 Apr 2026 - 19:16

248

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

Published on 13 Apr 2026 - 23:43

806

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 17 Apr 2026 - 13:36

1.1k

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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 17 Apr 2026 - 11:48

436

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 16 Apr 2026 - 22:35

261

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

Published on 14 Apr 2026 - 7:08

852

Views

Definition of significant figures

Published on 11 May 2026 - 0:40

463

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How are Trott constants found; are there mathematical results?

Published on 11 Apr 2026 - 23:37

103

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

Published on 16 Apr 2026 - 20:47

61

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Why do we need to divide?

Published on 30 Apr 2026 - 14:49

227

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Finding the day of the same date of previous month?

Published on 10 May 2026 - 20:40

113

Views

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

Published on 15 Apr 2026 - 10:34

359

Views

What is correlation dimension, actually?

Published on 06 Apr 2026 - 1:07

117

Views

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

Published on 15 Apr 2026 - 17:49

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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