Toroidal coordinates: Difference between revisions

Toroidal coordinates (view source)

115 bytes removed , 18 August 2010

204

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 = \lim_{\delta V \to 0}\frac{1}{\delta V}\int_{\delta V} \nabla\cdot\Gamma\; dV
 = \lim_{\delta V \to 0}\frac{1}{\delta V}\int_{S(\delta V)} \Gamma\cdot \frac{\nabla V}{|\nabla V|}dS
-= \lim_{\delta V \to 0}\frac{1}{\delta V}\int_0^{2\pi} \int_0^{2\pi} \Gamma\cdot \nabla V\; \sqrt{g} d\theta d\phi = \frac{d}{dV}\langle\Gamma\cdot\nabla V\rangle~.
+= \frac{d}{dV}\langle\Gamma\cdot\nabla V\rangle~.
 </math>