deletions | additions       diff --git a/Thus_begin_eqnarray_label_eqn__.tex b/Thus_begin_eqnarray_label_eqn__.tex  index 191b6ab..f39e0da 100644  --- a/Thus_begin_eqnarray_label_eqn__.tex  +++ b/Thus_begin_eqnarray_label_eqn__.tex 
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\label{eqn:}  \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] \\  \left( \dfrac{2}{\Gamma_{\rm obs}} \right) \left( \dfrac{P_{\rm obs} - P_{\rm min}}{P_{\rm min}} \right)^{1/2}\ P_{\rm obs} \left[ -\dfrac{\partial \dfrac{\partial  \rho({\rm obs})}{\partial \Gamma_{\rm P_{\rm  obs}} - \left(  \dfrac{\Gamma_{\rm obs}}{2 P_{\rm obs}} + \right)  \dfrac{\partial \rho({\rm obs})}{\partial P_{\rm \Gamma_{\rm  obs}} \right] \end{eqnarray}