deletions | additions       diff --git a/MLT.tex b/MLT.tex  index afd0807..a95d087 100644  --- a/MLT.tex  +++ b/MLT.tex 
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F_{c} = \frac{1}{2} \rho \bar{v} \cp \lambda \Delta \nabla T ,  \end{equation}  where the factor 1/2 comes from the fact that at each level approximately one-half of the matter is rising and one-half is descending. Here $\rho$, $\bar{v}$ and $\cp$ are averages along the distance $\lambda$ of density, velocity and specific heat at constant pressure of upward and downward moving fluid elements.  Defining the gradients $\nabla \equiv \frac{\D \ln \T}{\D \ln \P}$ and $\nabla' \equiv \frac{\D \ln \T'}{\D \ln \P}$