this is for holding javascript data
Benedict Irwin edited Sketchy Generation.tex
over 9 years ago
Commit id: 18921c76452a02097440797af058d3efd489967f
deletions | additions
diff --git a/Sketchy Generation.tex b/Sketchy Generation.tex
index 77415e0..249f30d 100644
--- a/Sketchy Generation.tex
+++ b/Sketchy Generation.tex
...
\partial_x\partial_z & \partial_y\partial_z & -\partial_y^2-\partial_x^2
\end{bmatrix}
\end{equation}
However this should be equal to $\nabla(\nabla\cdot \mathbf{A}) - \nabla^2\mathbf{A}$ via an identity.
We can tell that \begin{equation}
\nabla^2=
\begin{bmatrix}
\partial_x^2 + \partial_y^2 + \partial_z^2 & 0 & 0 \\
0 & \partial_x^2 + \partial_y^2 + \partial_z^2 & 0 \\
0 & 0 & \partial_x^2 + \partial_y^2 + \partial_z^2
\end{bmatrix}
\end{equation}