deletions | additions       diff --git a/Convective Velocities.tex b/Convective Velocities.tex  index 78a0ed3..afef64a 100644  --- a/Convective Velocities.tex  +++ b/Convective Velocities.tex 
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\begin{equation}  \bar{v}^2 = - \frac{1}{8} g (\Delta \rho (\lambda)/\rho) \lambda.  \end{equation}  Relating $\Delta \rho$ and $\Delta T$ requires the equation of state for the gas. gas $\rho = \rho (\mu, T, \P)$.  In general we can \begin{equation}  \D\rho = \big(\frac{\partial \rho}{\partial \mu} \big)  \end{equation}  write, assuming again pressure equilibrium, equilibr