발산 정리(divergence theorem)

http://www.maths.ed.ac.uk/~jmf/Teaching/Lectures/divthm.pdf

 

• 3-form과 2-form
  \(\iiint_V\ \nabla\cdot\mathbf{F}\,dV=\iint_{\partial V}\mathbf F\cdot\mathbf n\,{d}S \)
  여기서
  \(\operatorname{div}\,\mathbf{F} = \nabla\cdot\mathbf{F} =\frac{\partial F_x}{\partial x} +\frac{\partial F_y}{\partial y} +\frac{\partial F_z}{\partial z }\)