deletions | additions       diff --git a/Thus_begin_equation_label_eqn__.tex b/Thus_begin_equation_label_eqn__.tex  index c0d5289..d3d7ef7 100644  --- a/Thus_begin_equation_label_eqn__.tex  +++ b/Thus_begin_equation_label_eqn__.tex 
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Thus,  \begin{equation} \begin{eqnarray}  \label{eqn:convert_from_observed_to_actual_density}  \dfrac{d}{db} \bigg( \rho(\Gamma_{\rm obs}, P_{\rm obs}) - \rho(\Gamma_0, P_{\rm min}) \bigg) = \dfrac{d}{db} \left( \int_{b^\prime = 0}^{b} f\ \rho({\rm act}) \dfrac{2b^\prime\ db^\prime}{b_{\rm max}^2} \right) \\