this is for holding javascript data
Chris Spencer edited Theory.tex
about 10 years ago
Commit id: ee115807cb7c05ae03fe521635b3515ab2c2f2ee
deletions | additions
diff --git a/Theory.tex b/Theory.tex
index aad1bd8..d2c29a1 100644
--- a/Theory.tex
+++ b/Theory.tex
...
\section{Theory}
\documentclass{article}
\usepackage{amsmath}
\usepackage{tensor}
\begin{document} \newcommand{\tensor}[1]{\stackrel{\leftrightarrow}{#1}}
Gaus's Law is in free space is \[\nabla\cdot\vec{E}=\frac{\rho}{\epsilon_0}\]. In a plasma $\epsilon_0$ becomes a tensor for $\epsilon$ and the relation becomes \[\nabla\cdot(\epsilon\vec{E})=\rho\] and noting that $\vec{E}=-\nabla\phi$ and tensor $\kappa=\tensor{\epsilon}\epsilon_0$, Gaus's Law can be rewritten as \[\vec{D}=\epsilon_0(tensor)\kappa\cdot\vec{E}\]
\end{document}