Mathematics
John Barber's user avatar
John Barber's user avatar
John Barber's user avatar
John Barber
  • Member for 10 years, 7 months
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Computational physicist.

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All Questions Answers
Score Newest
question
32
Fractal dimension of the function $f(x)=\sum_{n=1}^{\infty}\frac{\mathrm{sign}\left(\sin(nx)\right)}{n}$
Jul 14, 2016
question
27
Conjecture: $\lim_{x\rightarrow 0_+} \sum_{n=1}^{\infty} \frac{\sin(n^2 x)}{n} = \frac{\pi}{4}$
Jul 20, 2015
question
22
$\frac{1}{9} + \frac{1}{99} + \frac{1}{999} + \frac{1}{9999} + \cdots ={} $?
Jun 17, 2017
question
11
What is this number: $x = \sqrt{1+2^1\sqrt{1+2^2\sqrt{1+2^3\sqrt{1+...}}}}\approx 4.14031...$?
Sep 11, 2016
answer
11
Conjecture: $\lim_{x\rightarrow 0_+} \sum_{n=1}^{\infty} \frac{\sin(n^2 x)}{n} = \frac{\pi}{4}$
Jul 20, 2015
answer
9
How to show this formula to get a square root of a number in "just few seconds" is true?
Jun 23, 2016
answer
8
How to evaluate $\sum\limits_{x=0}^\infty \text{erfc}(x)= 1.1619990479471263635323…?$
Sep 20, 2021
answer
7
If a 2D dynamical system has two steady states, is it always the case that one steady state is stable and the other is unstable?
Aug 23, 2021
question
6
$A_{mn} = \frac{1}{\pi}\int_0^{\pi}d\theta\, \sin(2m\theta)\, \frac{1-\cos^{2n}(\theta)}{\tan(\theta)} = $ ? $m$, $n$ integers > 0
Jul 12, 2016
answer
6
Kind of heat equation
Jan 22, 2018
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5
An algorithm to find the area of intersection between a convex polygon and a 3D polyhedron?

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