deletions | additions       diff --git a/Appendix.tex b/Appendix.tex  index 6266a52..bcbada3 100644  --- a/Appendix.tex  +++ b/Appendix.tex 
...
The plasma frequency is given by \[\omega_{pe}=\sqrt{\frac{ne^2}{m\epsilon_0}}\] where $n$ is the plasma density,and $\epsilon_0$ is the permittivity of free space.   The voltage measured by the bdot probe is given by \[V_{measured}=N_{loop}A\frac{\partial\vec{B_{norm}}}{\partial t}\] where $N$ is the number of loops of a side of the bdot probe, $A$ is the area of a face of the probe,and $\frac{\partial\vec{B_{norm}}}{\partial t}$ is the change in magnetic field normal to a face of the probe.  The phase velocity is \[v_{Phase}=\frac{\omega}{k}\] where $\omega$ is the wave frequency and $k$ is the wave number.  It follows that the group velocity is \[v_{group}=\frac{d\omega}{dt}\]. \[v_{group}=\frac{d\omega}{dt}\]