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-%%% ====================================================================
-%%% @LaTeX-file{
-%%% filename = "subeqn.tex",
-%%% version = "1.2c",
-%%% date = "1999/11/29",
-%%% time = "14:49:29 EST",
-%%% checksum = "29866 202 668 6426",
-%%% author = "American Mathematical Society",
-%%% copyright = "Copyright 1999 American Mathematical Society,
-%%% all rights reserved. Copying of this file is
-%%% authorized only if either:
-%%% (1) you make absolutely no changes to your copy,
-%%% including name; OR
-%%% (2) if you do make changes, you first rename it
-%%% to some other name.",
-%%% address = "American Mathematical Society,
-%%% Technical Support,
-%%% Electronic Products and Services,
-%%% P. O. Box 6248,
-%%% Providence, RI 02940,
-%%% USA",
-%%% telephone = "401-455-4080 or (in the USA and Canada)
-%%% 800-321-4AMS (321-4267)",
-%%% FAX = "401-331-3842",
-%%% email = "tech-support@ams.org (Internet)",
-%%% supported = "yes",
-%%% keywords = "latex, amslatex, ams-latex, amstex",
-%%% abstract = "This is part of the AMS-\LaTeX{} distribution.
-%%% It is a sample document illustrating the use of
-%%% the subequations environment and the effect of
-%%% the fleqn option.",
-%%% docstring = "The checksum field above contains a CRC-16
-%%% checksum as the first value, followed by the
-%%% equivalent of the standard UNIX wc (word
-%%% count) utility output of lines, words, and
-%%% characters. This is produced by Robert
-%%% Solovay's checksum utility.",
-%%% }
-%%% ====================================================================
-\documentclass[fleqn]{article}
-
-\title{Test of subequations environment}
-\author{mjd}
-
-\usepackage{amsmath}
-\numberwithin{equation}{section}
-
-\newcommand{\env}[1]{{\normalfont\texttt{#1}}}
-
-\AtEndDocument{\multipasswarning}
-\newcommand{\multipasswarning}{%
- \clearpage
- \typeout{%
- **********************************************************************}
- \typeout{%
- Note: This document needs to run through LaTeX three times, instead of}
- \typeout{%
- the usual two, to resolve indirect cross-references.}
- \typeout{%
- **********************************************************************}
-}
-
-\makeatletter
-% Omit the warning message if three passes have been completed (on
-% first pass \ref{check} is undefined and it is set to 0; on second
-% pass \ref{check} is 0 and set to 1; on third pass it is 1).
-\def\checkref{\begingroup
- \@ifundefined{r@check}{\def\@currentlabel{0}}{\def\@currentlabel{1}}%
- \ifnum1=0\expandafter\@firstoftwo\r@check\relax
- \global\let\multipasswarning\relax
- \fi
- \label{check}%
- \endgroup}
-\makeatother
-
-\begin{document}
-\section{Prime equation numbers}
-
-First an equation.
-\begin{equation}\label{e:previous}
-A=B
-\end{equation}
-That was equation \eqref{e:previous}.
-
-Then the same, with a prime on the number.\checkref
-\begin{equation}
-\tag{\ref{e:previous}$'$}\label{e:prevprime}
-C=D
-\end{equation}
-And that was equation \eqref{e:prevprime}.
-
-Notice, by the way, that when a \verb"\ref" occurs inside a \verb"\tag",
-and that \verb"\tag" is then \verb"\label"'d, a \verb"\ref" for the the
-second \verb"\label" requires \emph{three} runs of \LaTeX{} in order to
-get the proper value. (If you run through the logic of \LaTeX{}'s
-cross-referencing mechanisms as they apply in this case, you will see
-that this is necessary.)
-
-\section{Subnumbered equations}
-
-Here is a,b,c sub-numbering.
-\begin{subequations}
-\begin{eqnarray}
-A&=&B\\
-D&=&C \label{e:middle}\\
-E&=&F
-\end{eqnarray}
-\end{subequations}
-That was produced with the \env{eqnarray} environment; the middle line
-was labeled as \eqref{e:middle}.
-
-An equation following the end of the \verb"subequations" environment
-should revert to normal numbering:
-\begin{equation}\label{e:check}
-H<K
-\end{equation}
-A check on the labeling: that was equation~\eqref{e:check}.
-
-The sub-numbered equations can be spread out through the text, like
-this:
-\begin{subequations}
-\begin{equation}
-A=B
-\end{equation}
-The \verb"subequations" environment can span arbitrary text between
-subsidiary equations. The only restriction is that if there are any
-numbered equations inside the \verb"subequations" environment that break
-out of the subequation numbering sequence, they would have to be handled
-specially.
-\begin{equation}
-D=C \label{e:newmiddle}
-\end{equation}
-More arbitrary text.
-\begin{equation}
-E=F
-\end{equation}
-\end{subequations}
-Label check: the middle one was \eqref{e:newmiddle}
-
-A final equation for a numbering check.
-\begin{equation}\label{e:final}
-G=H
-\end{equation}
-That equation was labeled as \eqref{e:final}.
-
-\section{Tests of \env{align}, \env{gather}, and other
-AMS-\protect\LaTeX{} environments}
-
-The \env{align} environment:
-\begin{subequations}
-\begin{align}
-\label{align:a}A+B&=B+A\\
-\label{align:b}C&=D+E\\
-\label{align:c}E&=F
-\end{align}
-\end{subequations}
-Label check: that was \eqref{align:a}, \eqref{align:b}, and
-\eqref{align:c}.
-
-The \env{align} environment again:
-\begin{subequations}
-\begin{align}
-\label{xalign:a}A+B&=B& B&=B+A\\
-\label{xalign:b}C&=D+E& C\oplus D&=E\\
-\label{xalign:c}E&=F& E'&=F'
-\end{align}
-\end{subequations}
-Label check: that was \eqref{xalign:a}, \eqref{xalign:b}, and
-\eqref{xalign:c}.
-
-The \env{gather} environment. For the third line we refer to one of the
-numbers in the first \env{align} structure.
-\begin{subequations}
-\begin{gather}
-\label{gather:a}A+B=B\\
-\label{gather:b}C=D+E\\
-\tag{\ref{align:c}$'$}\label{gather:c}E=F
-\end{gather}
-\end{subequations}
-Label check: that was \eqref{gather:a},
-\eqref{gather:b}, and
-\eqref{gather:c}.
-
-The next \env{subequations} environment encompasses two separate
-equations. A \env{split} environment:
-\begin{subequations}
-\begin{equation}
-\label{split:x}
-\begin{split}
-A&=B+C+F\\
-&=G
-\end{split}
-\end{equation}
-and a \env{multline} environment:
-\begin{multline}\label{multline:x}
-A[B]C[D]E[F]G[[H[I]J[K]L[M]N]]=\\
-H[I]J[K]L[M]N[O]P[Q]R[S]T[U]V[W]X[Y]Z
-\end{multline}
-\end{subequations}
-Label check: That was \eqref{split:x} and \eqref{multline:x}.
-
-\end{document}