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bio website weary-watcher.blogspot.co.uk
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age 26
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seen 37 mins ago
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Have been doing mathematics as a hobby for several years. Completed my MSc in Mathematics with the Open University in Oct 2012 which is my first degree in this area.

Now taking a break and looking for a PhD topic, possibly starting in 2014. My interests are still rather dispersed covering complex analysis, differential geometry, PDE, conformal field theory


May
21
awarded  Yearling
Mar
14
answered Show that the surface area of a cone with base radius $a$ and height $h$ is $\pi a \sqrt{a^2+h^2}$
Mar
13
comment Equilateral triangle geometric problem
see the edited answer
Mar
13
revised Equilateral triangle geometric problem
added 644 characters in body
Mar
13
comment Equilateral triangle geometric problem
Hold on, there is a flaw in my picture, correcting now
Mar
13
comment Solve $x=y\frac{dy}{dx}-\left(\frac{dy}{dx}\right)^{2}$
Check out this: en.wikipedia.org/wiki/Clairaut's_equation
Mar
13
answered Equilateral triangle geometric problem
Mar
13
comment Solve $x=y\frac{dy}{dx}-\left(\frac{dy}{dx}\right)^{2}$
yes, that is precisely how it works. I have to admit I have not carried out the complete calculation, but this is the general outcome of this method; generally the explicit solution will be rarely possible
Mar
13
answered Solve $x=y\frac{dy}{dx}-\left(\frac{dy}{dx}\right)^{2}$
Mar
3
revised Prove that $\frac{q(r+1)}{(\beta,\beta)}=\frac{q'(r'+1)}{(\alpha,\alpha)}$
removed display style in title
Feb
17
answered Differential Equation $ (2x^2 + y^2)\,dx - xy \, dy = 0 $
Feb
10
comment Understanding an integration
In this case we are dealing with a singular function and the singularity is placed exactly at the end of the interval, therefore we cannot simply throw it away as it makes finite difference to the value of the integral. Therefore, I took a complementary approach showing that adding a small neighbourhood does not alter the value much, because the contribution from the regular part of the integrand is negligible
Feb
10
revised Understanding an integration
added 22 characters in body
Feb
10
answered Understanding an integration
Feb
10
answered Prove: $\binom{n}{0}F_0+\binom{n}{1}F_1+\binom{n}{2}F_2+\cdots+\binom{n}{n}F_n=F_{2n}$
Feb
10
comment Prove that $\left (\frac{a^2 + b^2 +c^2}{a+b+c} \right) ^ {(a+b+c)} > a^a b^b c^c$
wasn't me but I guess because the linked page is no longer available
Feb
10
answered Finding $\frac{FC}{EG}$ from $FG+EG=DG,EG+DG=DA=2EC=AF-FG$
Feb
9
answered Evaluate $ \int{\frac{\cos x}{\sin x + \cos x}dx}$
Feb
7
answered List of interesting integrals for early calculus students
Feb
7
answered Prove the following equality: $\sum_{k=0}^n\binom {n-k }{k} = F_n$