Updated CV
From now on, you can find my Curriculum Vitae in the Info section of this Blog. Then, in order to demonstrate (if there was still any need) the versatility of the WP LaTeX plugin, I would like to introduce you the Amoroso integro-differential equation
![U(\boldsymbol{z})=\frac{(n-2)!}{2\pi^n}\int_{\partial\Omega}\left[U(\boldsymbol{\zeta})\frac{\partial}{\partial\nu_{\boldsymbol{\zeta}}}\frac{1}{|\boldsymbol{z}-\boldsymbol{\zeta}|^{2n-2}} - \mathscr{D}U(\boldsymbol{\zeta }) \frac{1}{|\boldsymbol{z}-\boldsymbol{\zeta}|^{2n-2}}\right]\mathrm{d}\sigma_{\boldsymbol{\zeta }}](http://s.wordpress.com/latex.php?latex=U%28%5Cboldsymbol%7Bz%7D%29%3D%5Cfrac%7B%28n-2%29%21%7D%7B2%5Cpi%5En%7D%5Cint_%7B%5Cpartial%5COmega%7D%5Cleft%5BU%28%5Cboldsymbol%7B%5Czeta%7D%29%5Cfrac%7B%5Cpartial%7D%7B%5Cpartial%5Cnu_%7B%5Cboldsymbol%7B%5Czeta%7D%7D%7D%5Cfrac%7B1%7D%7B%7C%5Cboldsymbol%7Bz%7D-%5Cboldsymbol%7B%5Czeta%7D%7C%5E%7B2n-2%7D%7D%20-%20%5Cmathscr%7BD%7DU%28%5Cboldsymbol%7B%5Czeta%20%7D%29%20%5Cfrac%7B1%7D%7B%7C%5Cboldsymbol%7Bz%7D-%5Cboldsymbol%7B%5Czeta%7D%7C%5E%7B2n-2%7D%7D%5Cright%5D%5Cmathrm%7Bd%7D%5Csigma_%7B%5Cboldsymbol%7B%5Czeta%20%7D%7D&bg=ffffff&fg=000000&s=1 "U(\boldsymbol{z})=\frac{(n-2)!}{2\pi^n}\int_{\partial\Omega}\left[U(\boldsymbol{\zeta})\frac{\partial}{\partial\nu_{\boldsymbol{\zeta}}}\frac{1}{|\boldsymbol{z}-\boldsymbol{\zeta}|^{2n-2}} - \mathscr{D}U(\boldsymbol{\zeta }) \frac{1}{|\boldsymbol{z}-\boldsymbol{\zeta}|^{2n-2}}\right]\mathrm{d}\sigma_{\boldsymbol{\zeta }}")
where
with
is a bounded domain in the finite dimensional complex vector space and
is its boundary, which we assume of class
and
are points belonging to the boundary
is the unit hypersurface normal to
(which always exists in the given hypothesis)
is the unknown function
is a particular tangential differential operator, univocally determined only if
.
And, in order to relax I still would propose you the listening of Watchtower
Watchtower – The Fall of reason
Date: 1 November 2009
Categories: Chronicle, Mathematics