Talk:Divergence theorem

From Wikipedia, the free encyclopedia

This article is based on the GFDL article from PlanetMath at http://planetmath.org/encyclopedia/Divergence.html

---

That's my contribution for the day done. The Anome

Re: removal of the condition that the region S be compact - I doubt that one can do this unconditionally.

Charles Matthews 18:53, 6 Feb 2004 (UTC)

You are correct. Either the manifold must be compact, or the integrand must have compact support. sorry for the sloppiness. i think i will just change it back.

Re: Infinite plane of mass

The behavior is an approximative case only. It is the closest to "ideal" when you are very close to the black hole's event horizon. At least that is what I remember from a website which I'll need to look up. :-)

--24.84.203.193 28 June 2005 14:17 (UTC)

[edit] Remarks about links

(Moved from my talk page)

Thank you for your changes to divergence theorem. However, I have some remarks about links.

First, one should not link to plural, rather to singular, so it's got to be [[divergence]]s and not [[divergences]]. Second, you should wonder if links are actually needed, a link to sink does not make any sence in that article.

Third, one should check where the links point to. Instead of boundary one should link to [[boundary (topology)|boundary]]. Fourth, a link to "conservation law" should be instead conservation law, because, as you notice, those two words go together.

These are minor things, but it helps give value to the links. Thanks. Oleg Alexandrov (talk) 10:38, 29 October 2005 (UTC)

Yes thanks for advice!--Light current 19:32, 29 October 2005 (UTC)

[edit] Example

By symmetry,

Why? --Abdull 19:30, 2 June 2006 (UTC)

A sphere looks the same if you look at its z-axis as if you look at its y-axis. Rotational symmetry. -lethe ^{talk +} 20:05, 2 June 2006 (UTC)

[edit] Generalization of the divergence theorem to tensors

Could somebody with the requisite mathematical expertise please fill this in?