deletions | additions       diff --git a/Mode Visibility.tex b/Mode Visibility.tex  index e7726db..94e1f68 100644  --- a/Mode Visibility.tex  +++ b/Mode Visibility.tex 
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\frac{V_{\rm sup}^2}{V_\alpha^2} = \bigg[1 + \Delta \nu \tau_{\rm ac} T^2 \bigg]^{-1} \, .  \end{equation}  Where we used the fact that the large frequency spacing is $\Delta \nu \simeq (2 t_{\rm cross})^{-1}$ \citep{Chaplin_2013} and have defined $\tau_{\rm ac} = \gamma_{\rm ac}^{-1}$.  The value of $T^2$ can be easily calculated from a stellar model, whereas the envelope life-time $\tau_{\rm ac}$ is approximately equal to the life-time of radial modes (because they have all their energy in the acoustic cavity). For stars ascending the RGB below the bump, $\tau_{\rm ac} \sim 10 \, {\rm days}$ \citep{Dupret_2009}.