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Gennaro Marco Devincenzis

Pisa, Italy

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Top Questions

Convergence of $\sum\limits_{n=1}^{\infty}\left(\frac{\sqrt n-1}{\sqrt n}\right)^n$

real-analysis sequences-and-series convergence asked Apr 6, 2014 at 18:39

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Prove that no function exists such that...

calculus real-analysis functions asked Apr 14, 2014 at 16:50

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Is there a generalization of the fundamental theorem of algebra for power series?

calculus real-analysis power-series asked Jun 4, 2014 at 10:51

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How do I treat the Lagrangian in the case of a rigid body?

homework newtonian-mechanics lagrangian-formalism rotational-dynamics rigid-body-dynamics asked Oct 18, 2014 at 9:58

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Linear algebra revisited: What do we do when we set a coordinate system?

differential-geometry manifolds asked Apr 28, 2015 at 12:35

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Is every normed vector space a metric space?

general-topology metric-spaces normed-spaces asked Sep 24, 2013 at 22:04

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Matrices such that $A^2=A$ and $B^2=B$

linear-algebra matrices asked Dec 14, 2013 at 16:19

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Top Answers

Closed form of $\mathscr{R}=\int_0^{\pi/2}\sin^2x\,\ln\big(\sin^2(\tan x)\big)\,\,dx$

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Evaluating $\int_0^{\frac{\pi}{2}}\ln\left(\frac{\ln^2\sin\theta}{\pi^2+\ln^2\sin\theta}\right)\,\frac{\ln\cos\theta}{\tan\theta}\,d\theta$

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Integrate $\int\frac{dx}{2x^3-6x+4}$

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Unexpected appearances of $\pi^2 /~6$.

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Integrate $\left[\arctan\left(x\right)/x\right]^{2}$ between $-\infty$ and $+\infty$

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Solve Non-Linear DOE with Dirac Delta Function in the denominator

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