Martin Gales

1,267 reputation

618

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visits	member for	2 years, 7 months
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Quite a random guy here. 90% an engineer (Electrical Power Engineering student) and 10% a physicist. My favorite formula in mathematics:

$\int_{0}^{\infty}x^{-x}\ dx=1.9954...$

Favorite quote from mathematics:

In the theory of probability generating functions have been used since DeMoivre and Laplace, but the power and the possibilities of the method are rarely fully utilized.

(William Feller)

	1,267 reputation	bio	website		visits	member for	2 years, 7 months
618 badges		location			seen	18 hours ago

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May 14	comment	$\int_0^\pi\frac{3\cos x+\sqrt{8+\cos^2 x}}{\sin x}x\ \mathrm dx$ But how to solve the latter without the Mathematica?
May 11	comment	How to derive $\cos\frac{n\pi}{3}=\frac{1+3(-1)^{[\frac{n+1}{3}]}}{4}$ I learned quite a few new things from your answer. Thanks!
May 11	comment	How to derive $\cos\frac{n\pi}{3}=\frac{1+3(-1)^{[\frac{n+1}{3}]}}{4}$ Thanks, very inspiring answer!
May 11	accepted	How to derive $\cos\frac{n\pi}{3}=\frac{1+3(-1)^{[\frac{n+1}{3}]}}{4}$
May 9	asked	How to derive $\cos\frac{n\pi}{3}=\frac{1+3(-1)^{[\frac{n+1}{3}]}}{4}$
May 9	awarded	Caucus
May 3	awarded	Nice Question
Apr 30	answered	limit of : $a_{n+2} =\frac{1}{a_n} + \frac{1}{a_{n+1}}$
Apr 23	comment	Proving $e^{i\pi} = -1$ without proving $e^{ix} = \cos x + i\sin x$ @J.Loreaux $\ln z=\ln\left \| z \right \|+i\;\text{arg}\;z$. Argument of $z=(-1)$ is $\pi$
Apr 23	answered	Proving $e^{i\pi} = -1$ without proving $e^{ix} = \cos x + i\sin x$
Apr 18	answered	integral with $\log\left(\frac{x+1}{x-1}\right)$
Apr 9	awarded	Popular Question
Apr 8	awarded	Necromancer
Mar 16	awarded	Popular Question
Mar 8	comment	Evaluating $\int_{0}^{\infty}\sin^3(x)\cos[a\tan(x)]\frac{dx}{x}$ Amazingly elegant solution!
Mar 8	accepted	Evaluating $\int_{0}^{\infty}\sin^3(x)\cos[a\tan(x)]\frac{dx}{x}$
Mar 8	awarded	Nice Question
Mar 7	comment	Evaluating $\int_{0}^{\infty}\sin^3(x)\cos[a\tan(x)]\frac{dx}{x}$ Thank you for this work!
Mar 7	comment	Evaluating $\int_{0}^{\infty}\sin^3(x)\cos[a\tan(x)]\frac{dx}{x}$ @Jonathan An edit is made
Mar 7	revised	Evaluating $\int_{0}^{\infty}\sin^3(x)\cos[a\tan(x)]\frac{dx}{x}$ added 91 characters in body