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\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsfonts}

\thispagestyle{empty}
\begin{document}
\begin{equation}
  y=Ne^{-\frac{(x-x_0)^2}{2\sigma^2}}\notag
\end{equation}
\end{document}