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Benedict Irwin edited Sketchy Generation.tex
over 9 years ago
Commit id: c0a1a8aa541c242e823e94289ffe7b86fc47ae1b
deletions | additions
diff --git a/Sketchy Generation.tex b/Sketchy Generation.tex
index d40a895..dfd9f20 100644
--- a/Sketchy Generation.tex
+++ b/Sketchy Generation.tex
...
F_{\mu\nu}=\begin{bmatrix} 0 & E_x/c & E_y/c & E_z/c \\ -E_x/c & 0 & B_z & -B_y \\ -E_y/c & -B_z & 0 & B_x \\ -E_z/c & B_y & -B_x & 0 \end{bmatrix}
\end{equation}
Here we can see the lower right 3x3 matrix would just be $\hat{S}\textbf{B}$...
We could go by the standard that a vector is a column vector untill transposed and then rewrite $F$ as \begin{equation}
F_{\mu\nu}=\begin{bmatrix} 0 & \textbf{E}^T \\ -\textbf{E} & \hat{S}\textbf{B} \end{bmatrix}
\end{equation}
and we have a reduced form.