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Benedict Irwin edited Sketchy Generation.tex
over 9 years ago
Commit id: c282659dc69b51c58871ddd188f2abf33da947dc
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diff --git a/Sketchy Generation.tex b/Sketchy Generation.tex
index e7fc3aa..cd8ee52 100644
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Knowing this we require the gradient operator to be a column vector such that when it left operates on the divergence row operator we may create the matrix form above. This gives the form \begin{equation}
\begin{bmatrix}
a \partial_x^2\partial_y\partial_z \\
b \partial_x\partial_y^2\partial_z \\
c \partial_x\partial_y\partial_z^2 \end{bmatrix}
\begin{bmatrix} \partial_z^{-1}\partial_y^{-1} & \partial_z^{-1}\partial_x^{-1} & \partial_y^{-1}\partial_x^{-1} \end{bmatrix}
=
\begin{bmatrix}