deletions | additions       diff --git a/why 12 gives good image but bad data.tex b/why 12 gives good image but bad data.tex  index bad0827..5515a85 100644  --- a/why 12 gives good image but bad data.tex  +++ b/why 12 gives good image but bad data.tex 
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To correct for the fact that \textsuperscript{12}CO is opticaly thick, we use the following equation:  %  \begin{equation} %\label{eqn:mass-energy}   T_{ T_{\rm  mb 12} / T_{ T_{\rm  mb 13} = [^{12}{ [^{12}{\rm  CO}] / [ ^{13}{ ^{13}{\rm  CO}] (1 - e^{-\tau_{12}}) / \tau_{12} \label{eqn:mass-energy}  \end{equation}  taken from the Dunhan paper. This provides a correction for the optical depth of each \textsuperscript{12}CO voxel based on the \textsuperscript{13}CO equivalent voxel. Using this scaling, we obtained the following results.