I need know what it is, please, help
@freckles , @ikram002p

Question

I need know what it is, please, help
@freckles , @ikram002p

loser66 · Answer

attachment

loser66 · Answer

I am studying integral by parts in R^n

ikram002p · Answer

not sure if i could help in thins but maybe @iWillBeBack  @BabyDayz

ikram002p · Answer

or maybe @IrishBoy123

loser66 · Answer

@Michele_Laino

loser66 · Answer

@tkhunny

tkhunny · Answer

Can't open a docx, sorry.

loser66 · Answer

how about pdf?

ikram002p · Answer

@tkhunny http://prntscr.com/a0ax5e

tkhunny · Answer

I can read it, now, but I'll have to get up to speed on that.  Not in my immediate wheelhouse.

loser66 · Answer

$\partial\Omega$ is boundary of $\Omega$, that means $\Omega$ is a closed domain

loser66 · Answer

$d\sigma (x) $ means the arclength of the unit outward normal vector in direction x

iwillbeback · Answer

okay!

loser66 · Answer

I know this, by Skoke's theorem 
$\int_{\Omega}w=\int_{\partial \Omega} dw$

loser66 · Answer

More over, Green's theorem gives us 
$$\int_{\Omega} f\partial_j g dx=-\int_{\Omega}\partial j (f.g) dx +\int_{\partial \Omega}fg \nu_j d\sigma (x)$$

loser66 · Answer

but there is no way to link them to the current problem :(

iwillbeback · Answer

<V>= Del (Sigma(x,y,z))/|MAG|

iwillbeback · Answer

forget greens theorem , thats jut special case of stokes

loser66 · Answer

But if we don't use green, how to turn the integral over $\Omega$ to sum of over Omega and its boundary?

iwillbeback · Answer

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