deletions | additions       diff --git a/ratio.tex b/ratio.tex  index 5de30c7..3755683 100644  --- a/ratio.tex  +++ b/ratio.tex 
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\begin{equation} \begin{equation}\label{ratio}  \frac{E_{{\mathrm g}}}{E_{\rm s}}\sim M_c\left( \frac{\rho_c}{\rho_s} \right)\left(\frac{\vca}{\varv_{\rm s}}\right)^2\geq 1 ,  \label{ratio}  \end{equation}