deletions | additions       diff --git a/Mode Visibility.tex b/Mode Visibility.tex  index eb723a1..75791d2 100644  --- a/Mode Visibility.tex  +++ b/Mode Visibility.tex 
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The wave resumes propagating inward as a gravity wave in the radiative core where $\omega < N$, where $N$ is the local buoyancy frequency. In normal red giants, wave energy that tunnels into the core eventually tunnels back out to produce the observed oscillation modes. We show here that depressed modes can be explained if wave energy leaking into the core {\bf is lost from the oscillation mode}.  The degree of wave transmission between the core and envelope is determined by the tunneling integral through the intervening evanescent zone. The transmission coefficient is {\bf approximately} (see supplementary material for a more accurate expression)  \begin{equation}  \label{eqn:integral2}  T \sim \bigg( \frac{r_1}{r_2} \bigg)^{\sqrt{l(l+1)}} \, , 
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