List questions from constants

Published on 26 Dec 2014 - 9:23

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Given three non-negative numbers $a,b,c$. Prove that $\frac{a+b+c}{k}\geqq\sum\limits_{cyc}\frac{a-b}{b+ k}$ for $k= constant$ so that $k> 0$ .

Published on 03 Oct 2019 - 8:08

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Solving a Riccati ODE Twice

Published on 22 Mar 2026 - 10:20

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smallest perimeter of compound shape

Published on 26 Oct 2019 - 7:19

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Entire function which is a constant

Published on 17 Nov 2019 - 13:23

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Fraction mapped to sum and geometric mean approaches 2.1479

Published on 19 Nov 2019 - 0:05

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About $\sqrt[k]{l + \sqrt[k]{l + \sqrt[k]{l + ...}}} $ asymptotics

Published on 24 Nov 2019 - 15:58

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Gosper's identity for the golden ratio: $\frac{2^{2/5}\sqrt{5} \, \Gamma(1/5)^4}{\Gamma(1/10)^2 \,\Gamma(3/10)^2} = \phi$

Published on 25 Mar 2026 - 15:42

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At what rate is the area of the surface of the plate increasing when its diameter is 6 meters?

Published on 23 Feb 2026 - 13:20

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The structure of numbers that are not "Khinchin random."

Published on 01 Dec 2019 - 4:01

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What are some large or small mathematical constants?

Published on 05 Dec 2019 - 3:43

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Is there any reason that $\arctan(e)\approx e-\frac32$ or is it just pure number luck?

Published on 09 Dec 2019 - 15:51

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A magnificent series for $\pi-333/106$

Published on 17 Dec 2019 - 7:41

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Does the constant 4.018 exists?

Published on 20 Dec 2019 - 3:27

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Sine Wave With Alternating Wavelength

Published on 31 Dec 2019 - 20:34

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What is the algebraic role of the mathematical constant $\gamma$?

Given three non-negative numbers $a,b,c$. Prove that $\frac{a+b+c}{k}\geqq\sum\limits_{cyc}\frac{a-b}{b+ k}$ for $k= constant$ so that $k> 0$ .

Solving a Riccati ODE Twice

smallest perimeter of compound shape

Entire function which is a constant

Fraction mapped to sum and geometric mean approaches 2.1479

About $\sqrt[k]{l + \sqrt[k]{l + \sqrt[k]{l + ...}}} $ asymptotics

Gosper's identity for the golden ratio: $\frac{2^{2/5}\sqrt{5} \, \Gamma(1/5)^4}{\Gamma(1/10)^2 \,\Gamma(3/10)^2} = \phi$

At what rate is the area of the surface of the plate increasing when its diameter is 6 meters?

The structure of numbers that are not "Khinchin random."

What are some large or small mathematical constants?

Is there any reason that $\arctan(e)\approx e-\frac32$ or is it just pure number luck?

A magnificent series for $\pi-333/106$

Does the constant 4.018 exists?

Sine Wave With Alternating Wavelength

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