deletions | additions       diff --git a/Convective Velocities.tex b/Convective Velocities.tex  index cd304c1..e4f9602 100644  --- a/Convective Velocities.tex  +++ b/Convective Velocities.tex 
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\end{equation}  so that the average convective velocity can be calculated  \begin{displaymath}  \bar{v} = \frac{1}{2 \sqrt{2}} \big(\frac{g}{\hp}\big)^{1/2} Q^{1/2} \lambda^2 \lambda \, \bigg(\frac{g Q}{\hp}\bigg)^{1/2}  \, (\nabla - \nabla')^{1/2}\\ = \frac{1}{2 \sqrt{2}} g \, \big(\frac{\rho }{\P}\big)^{1/2} Q^{1/2} \lambda^2 \lambda \bigg(\frac{\rho Q }{\P}\bigg)^{1/2}  \, (\nabla - \nabla')^{1/2} \end{displaymath}