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+\documentclass{article}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{amsfonts}
+
+\thispagestyle{empty}
+\begin{document}
+\begin{equation}
+ S(r)=S_{0,1}(1+\frac{r^2}{r_{c,1}^2})^{-3\beta_1+1/2}+S_{0,2}(1+\frac{r^2}{r_{c,2}^2})^{-3\beta_2+1/2}\notag
+\end{equation}
+\end{document}