deletions | additions       diff --git a/Sketchy Generation.tex b/Sketchy Generation.tex  index d0e68e0..f1ea84c 100644  --- a/Sketchy Generation.tex  +++ b/Sketchy Generation.tex 
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\end{equation}  But the laws of partial derivatives being commutative forbid this mapping to any vecotr other than (0,0,0)...  Then there is the skew-symmetric matrix of the form \begin{equation}  \hat{O}=  \begin{vmatrix}  \textbf{i} & \textbf{j} & \textbf{k} \\  \textbf{i} & \textbf{j} & \textbf{k} \\  \partial_x & \partial_y & \partial_z   \end{vmatrix}  =  \begin{bmatrix}  0 & \partial_z & -\partial_y \\  -\partial_z & 0 & \partial_x \\  \partial_y & -\partial_x & 0  \end{bmatrix}  \end{equation}