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Greens theorem

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Greens Theorem, also known as Divergence Theorem is an important identity in vector calculus. If u_i is a vector field variable defined over a domain \Omega then Greens Theorem states that


\int_\Omega \frac{\partial u_i}{\partial x_i} dV = \oint_{\partial \Omega} u_i n_i dS

where \partial\Omega represents the boundary of \Omega and n_i is the unit outward normal to \partial\Omega.

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