this is for holding javascript data
Benedict Irwin edited Sketchy Generation.tex
over 9 years ago
Commit id: b7d2cad0ff9fcd881d0ddb1565a2f723522c78d8
deletions | additions
diff --git a/Sketchy Generation.tex b/Sketchy Generation.tex
index 7e9747b..d0e68e0 100644
--- a/Sketchy Generation.tex
+++ b/Sketchy Generation.tex
...
=\epsilon^{klm}\partial_lF_m\hat{\mathbf{e}}_k
\end{equation}
One could seek to create another operator (that maps f(x,y,z)) to a vector of the form \begin{equation}
\hat{O}=
\begin{vmatrix}
\textbf{i} & \textbf{j} & \textbf{k} \\
\partial_x & \partial_y & \partial_z \\
\partial_x & \partial_y & \partial_z
\end{vmatrix}
=\textbf{i}(\partial_y\partial_z-\partial_z\partial_y)-...
\end{equation}
But the laws of partial derivatives being commutative forbid this mapping to any vecotr other than (0,0,0)...