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\begin{equation}
\rho_L=\Gamma(\alpha+2) \phi^{\star} L^{\star}
\end{equation}
\begin{equation}
d\phi=\phi^{\star}(L/L^{\star})^{\alpha} exp (-L/L^{\star})dL/L^{\star}
\end{equation}
\begin{equation}
d\phi=0.921\phi^{\star}(L/L^{\star})^{\alpha+1} exp (-L/L^{\star})dM
\end{equation}
\end{document}
