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%-----------------------------------------------------------------------
% This is not part of the manuscript itself
%-----------------------------------------------------------------------
% Templates for common elements of a journal article;
% Section headings
\section{}
\subsection{}
% Ordinary theorem and proof
\begin{theorem}[Optional addition to theorem head]
% text of theorem
\end{theorem}
\begin{proof}[Optional replacement proof heading]
% text of proof
\end{proof}
% Figure insertion; default placement is top; if the figure occupies
% more than 75% of a page, the [p] option should be specified.
\begin{figure}
\includegraphics{filename}
\caption{text of caption}
\label{}
\end{figure}
% Numbered equation
\begin{equation}
\end{equation}
% Unnumbered equation
\begin{equation*}
\end{equation*}
% Aligned equations
\begin{align}
& \\
&
\end{align}