Benedict Irwin edited Sketchy Generation.tex  over 9 years ago

Commit id: 0cb72d8d813d669db3510812b5b6f9799172455f

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\partial_x\partial_y & \partial_y^2 & \partial_z\partial_y \\  \partial_x\partial_z & \partial_y\partial_z & \partial_z^2  \end{bmatrix}  \end{equation} As the divergence operator maps a vecotr field to a scalar field it must be a row vector. As the divergence of any curl is zero it must result in 0 under the left operation. This gives a likely form \begin{equation}  \begin{bmatrix} \partial_z^{-1}\partial_y^{-1} & \partial_z^{-1}\partial_x^{-1} & \partial_y^{-1}\partial_x^{-1} \end{bmatrix}  \begin{bmatrix}  0 & -\partial_z & \partial_y \\  \partial_z & 0 & -\partial_x \\  -\partial_y & \partial_x & 0  \end{bmatrix}  =\begin{bmatrix}1-1&1-1&1-1\end{bmatrix}  \end{equation}