deletions | additions       diff --git a/Convective Velocities.tex b/Convective Velocities.tex  index 0e93635..1f2d352 100644  --- a/Convective Velocities.tex  +++ b/Convective Velocities.tex 
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\end{equation}  with $\beta = \P_{Gas}/\P$. Plugging Eq.~\ref{eq:deltarho} in \ref{eq:velocity2} one obtains  \begin{equation}  \bar{v}^2 =-  \frac{1}{8} g Q (\Delta T (\lambda) / T) \lambda . \end{equation}  and substituting the temperature excess as calculated in \ref{eq:deltat}  \begin{equation}  \bar{v}^2 =-  \frac{1}{8} g Q \frac{\lambda^2}{\hp}\, (\nabla - \nabla') \nabla'),  \end{equation}  so that the average convective velocity can be calculated  \begin{equation}  \bar{v} = \frac{1}{2\sqrt{2}} (\frac{g}{\hp})^{1/2} Q^{1/2} \lambda^2} \, (\nabla - \nabla')^{1/2}  \end{equation}