amslatex-primer with a new pdf and added in tlpkg-ctan-check

git-svn-id: svn://tug.org/texlive/trunk@8348 c570f23f-e606-0410-a88d-b1316a301751

3 files changed, 697 insertions, 760 deletions

diff --git a/Master/texmf-doc/doc/english/amslatex-primer/amshelp.pdf b/Master/texmf-doc/doc/english/amslatex-primer/amshelp.pdf
new file mode 100644
index 00000000000..f3b99cf1185
--- /dev/null
+++ b/Master/texmf-doc/doc/english/amslatex-primer/amshelp.pdf
diff --git a/Master/texmf-doc/doc/english/amslatex-primer/amshelp.tex b/Master/texmf-doc/doc/english/amslatex-primer/amshelp.tex
index ce6769f32bd..5235334a9c4 100644
--- a/Master/texmf-doc/doc/english/amslatex-primer/amshelp.tex
+++ b/Master/texmf-doc/doc/english/amslatex-primer/amshelp.tex
@@ -1,35 +1,42 @@
 %%% amshelp.tex
 %%% This is an AMS-LaTeX file
 
-%%% This is an attempt to explain how to get up and running with
-%%% AmS-LaTeX, if you've already got some familiarity with either
-%%% TeX or AMS-TeX or LaTeX.
-
-%%% Copyright (C) Philip Hirschhorn 1993
+%%% Copyright (c) 2000 Philip S. Hirschhorn
+%
+% This document may be distributed and/or modified under the
+% conditions of the LaTeX Project Public License, either version 1.2
+% of this license or (at your option) any later version.
+% The latest version of this license is in
+%   http://www.latex-project.org/lppl.txt
+% and version 1.2 or later is part of all distributions of LaTeX 
+% version 1999/12/01 or later.
+%
 
-%%% Permission is granted to reproduce the document in any way providing
-%%% that it is distributed for free, except for any reasonable charges for
-%%% printing, distribution, staff time, etc.  Direct commercial
-%%% exploitation is not permitted.  Extracts may be made from this
-%%% document providing an acknowledgment of the original source is
-%%% maintained.
 
 %%% Philip Hirschhorn
 %%% Department of Mathematics
 %%% Wellesley College
-%%% Wellesley, MA 02181
-%%% phirschhorn@lucy.wellesley.edu
+%%% Wellesley, MA 02481
+%%% psh@poincare.wellesley.edu
 %%% psh@math.mit.edu
 
-%%% This version is dated December 16, 1992
-%%% (If this is changed, remember to change
-%%% the \date command below.)
 
-%---------------------------------------------------------------------
-\documentstyle[12pt,amscd]{amsart}
+%%% This is an attempt to explain how to get up and running with
+%%% AmS-LaTeX, if you've already got some familiarity with either 
+%%% TeX or AMS-TeX or LaTeX.
 
 
 
+
+\newcommand{\filedate}{August 10, 2000}
+\newcommand{\fileversion}{Version 2.0}
+
+%---------------------------------------------------------------------
+\documentclass[12pt]{amsart}
+%\documentclass{amsart}
+\usepackage{amscd}
+
+
 \newcommand{\tensor}{\otimes}
 \newcommand{\homotopic}{\simeq}
 \newcommand{\homeq}{\cong}
@@ -39,9 +46,6 @@
 
 
 
-
-
-
 \newcommand{\C}{{\cal C}}
 \newcommand{\M}{{\cal M}}
 \newcommand{\W}{{\cal W}}
@@ -51,41 +55,30 @@
 
 
 
-
 %---------------------------------------------------------------------
 %---------------------------------------------------------------------
 
+\numberwithin{equation}{section}
+
+
 %       Theorem environments
 
 \theoremstyle{plain} %% This is the default, anyway
-\begingroup          % Confine the \theorembodyfont command
-\theorembodyfont{\sl}
-\newtheorem{bigthm}{Theorem}  % Numbered separately, as A, B, etc.
-\newtheorem{thm}{Theorem}[section]
-\newtheorem{cor}[thm]{Corollary}
-\newtheorem{lem}[thm]{Lemma}
-\newtheorem{prop}[thm]{Proposition}
-\endgroup
-
-%%% We need to do the following outside of any group,
-%%% since it's not \global:
-\renewcommand{\thebigthm}{\Alph{bigthm}}  % Number as "Theorem A."
+\newtheorem{thm}[equation]{Theorem}
+\newtheorem{cor}[equation]{Corollary}
+\newtheorem{lem}[equation]{Lemma}
+\newtheorem{prop}[equation]{Proposition}
 
 
 \theoremstyle{definition}
-\newtheorem{defn}[thm]{Definition}
+\newtheorem{defn}[equation]{Definition}
 
 \theoremstyle{remark}
-\newtheorem{rem}[thm]{Remark}
-\newtheorem{ex}[thm]{Example}
-\newtheorem{notation}{Notation}
-\renewcommand{\thenotation}{}  % to make the notation
-                               % environment unnumbered
-\newtheorem{terminology}{Terminology}
-\renewcommand{\theterminology}{}  % to make the terminology
-                                  % environment unnumbered
+\newtheorem{rem}[equation]{Remark}
+\newtheorem{ex}[equation]{Example}
+\newtheorem{notation}[equation]{Notation}
+\newtheorem{terminology}[equation]{Terminology}
 
-\numberwithin{equation}{section}
 
 
 
@@ -105,23 +98,21 @@ with \AmS-\LaTeX}
 
 \address{Department of Mathematics\\
          Wellesley College\\
-         Wellesley, MA 02181}
+         Wellesley, Massachusetts 02481}
 
-\email{phirschhorn@@lucy.wellesley.edu}
+\email{psh@math.mit.edu}
 
 
-\date{December 16, 1992}
+\date{\filedate, \fileversion}
 
 
-
-\maketitle
-
 \begin{abstract}
-This is an attempt to tell you enough about \LaTeX{} and \AmS-\LaTeX{}
-so that you can get started with it {\em without\/} having to read
-the book.
+  This is an attempt to tell you enough about \LaTeX{} and
+  \AmS-\LaTeX{} so that you can get started with it \emph{without}
+  having to read the book.
 \end{abstract}
 
+\maketitle
 
 
 
@@ -131,47 +122,43 @@ the book.
 %---------------------------------------------------------------------
 \section{Introduction}
 
-This is an attempt to get you up and running with \AmS-\LaTeX\ with
-the least possible pain.  These instructions won't be a substitute
-for the User's Guide, but they may get you started quickly enough so
-that you'll only need to refer to the guide occasionally, which
-should eliminate most of the pain.
-
-
-
-\AmS-\LaTeX{} is really just a new documentstyle for \LaTeX,
-but it will only work after you've installed the new font selection
-scheme into \LaTeX.  (There are actually {\em two\/} new
-documentstyles, \verb"amsart" and \verb"amsbook", plus an optional
-argument \verb"amstex" that can be added to the standard \LaTeX{}
-\verb"article" documentstyle, but all I'll discuss here is the
-\verb"amsart" documentstyle.)  Thus, using \AmS-\LaTeX{} is really
-using a variety of \LaTeX.  If you're new to \LaTeX{} and these last
-few sentences made no sense to you at all, don't worry about it.  You
-don't have to know what the old font selection scheme is in order to
-use the new one.
+This is an attempt to get you up and running with \AmS-\LaTeX{} with
+the least possible pain.  These instructions won't be a substitute for
+the User's Guide, but they may get you started quickly enough so that
+you'll only need to refer to the guide occasionally, which should
+eliminate most of the pain.
+
+The current version of \AmS-\LaTeX{} (version 1.2) is really just an
+optional package for the new standard \LaTeX.  \AmS-\LaTeX{} provides
+the document classes \verb"amsart" and \verb"amsbook" (see
+Section~\ref{sec:DocClsCom}) to replace the standard document classes
+\verb"article" and \verb"book", and an optional package \verb"amsmath"
+that can be used with the standard \LaTeX{} document classes.  Thus,
+using \AmS-\LaTeX{} is really using a variety of \LaTeX.  If you're
+new to \LaTeX{}, and these last few sentences made no sense to you at
+all, don't worry about it.  You don't have to know what the standard
+\LaTeX{} document classes are in order to use the \AmS-\LaTeX{}
+replacements for them.
 
 
 I'll be assuming that you have at least some experience with either
-plain \TeX, \AmS-\TeX{} or \LaTeX, and I'll try to tell you what
-you need to know so that you can get started with \AmS-\LaTeX\ {\em
-without\/} actually reading the \LaTeX{} User's Guide~\cite{latex},
-or even taking much of a look at the \AmS-\LaTeX{} User's
-Guide~\cite{amslatexusersguide}.
+plain \TeX, \AmS-\TeX{} or \LaTeX, and I'll try to tell you what you
+need to know so that you can get started with \AmS-\LaTeX{}
+\emph{without} actually reading the \LaTeX{} User's
+Guide~\cite{latex}, or even taking much of a look at the \AmS-\LaTeX{}
+User's Guide~\cite{amslatexusersguide}.
 
 
-If you've never used {\em any\/} version of \TeX, then I recommend
-Jon Warbrick's {\em Essential \LaTeX\/}~\cite{essential}. This is
-intended for those with no knowledge of \TeX{} or \LaTeX, and
+If you've never used \emph{any} version of \TeX, then I recommend
+``The not so short introduction to \LaTeXe{}'', by Tobias Oetiker,
+Hubert Partl, Irene Hyna, and Elisabeth Schlegl \cite{NotShort}.  This
+is intended for those with no knowledge of \TeX{} or \LaTeX, and
 concisely gives a description of what a \LaTeX{} document looks like
-and how you type text in a \LaTeX{} document.  You should then look
-at Sections~3.3.1 and~3.3.2 of the \LaTeX{} User's Guide~\cite[pages
-41--47]{latex} to learn how to type mathematics in a \LaTeX{}
-document.
+and how you type text and simple mathematics in a \LaTeX{} document.
 
 I've also given you a template file \verb"template.tex", which is an
 attempt to give you enough to mostly fake your way through an
-\AmS-\LaTeX{} file, {\em almost\/} without even reading these
+\AmS-\LaTeX{} file, \emph{almost} without even reading these
 instructions.  I've included the text of that file in these
 instructions as Section~\ref{sec:template}, so you might want to take a
 look at that now, and then just use the table of contents of these
@@ -185,101 +172,113 @@ In case you haven't guessed, these instructions were printed using
 
 %---------------------------------------------------------------------
 %---------------------------------------------------------------------
-\section{Basic \LaTeX\ stuff}
+\section{Basic \LaTeX{} stuff}
 \label{sec:basicstuff}
 
 In this section, we'll describe the three commands that have to be
-part of any \LaTeX\ document: \verb"\documentstyle",
+part of any \LaTeX{} document: \verb"\documentclass",
 \verb"\begin{document}", and \verb"\end{document}".  The complete
-explanation of these can be found in the \LaTeX\ User's
-Guide~\cite{latex} or in {\em Essential \LaTeX\/}~\cite{essential}.
-We'll also explain how to begin a new section or subsection of the
-paper, and how \LaTeX\ manages to get the cross-references right
-(which is also the explanation of why you need to run a file through
-\LaTeX\ {\em twice\/} to be sure that all the cross-references are
-correct).
+explanation of these can be found in the \LaTeX{} User's
+Guide~\cite{latex} or in \emph{The not so short introduction to
+  \LaTeXe}~\cite{NotShort}.  We'll also explain how to begin a new
+section or subsection of the paper, and how \LaTeX{} manages to get
+the cross-references right (which is also the explanation of why you
+need to run a file through \LaTeX{} \emph{twice} to be sure that all
+the cross-references are correct).
 
 
-\subsection{The {\tt documentstyle} command}
+\subsection{The  \texttt{documentclass} command}
+\label{sec:DocClsCom}
 
 Before you type anything that actually appears in the paper, you must
-include a \verb"\documentstyle" command.  It's easiest to just put
-the \verb"\documentstyle" command at the very beginning of the file,
+include a \verb"\documentclass" command.  It's easiest to just put the
+\verb"\documentclass" command at the very beginning of the file,
 possibly with a few lines of comments before it.
 
-It's actually the choice of document style that determines whether
-you're using \AmS-\LaTeX\ or just plain old \LaTeX.  There are two
-document styles that are a part of \AmS-\LaTeX: \verb"amsart" and
-\verb"amsbook".  There is also the \verb"amstex" option that can be
-added to the standard \LaTeX\ \verb"article" document style.  I'll only
-be discussing the \verb"amsart" document style here.  For the others,
-see the \AmS-\LaTeX\ User's Guide~\cite{amslatexusersguide}.
+It's actually the choice of document class that determines whether
+you're using \AmS-\LaTeX{} or just plain old \LaTeX.  There are two
+document classes that are a part of \AmS-\LaTeX: \verb"amsart" and
+\verb"amsbook".  There is also the \verb"amsmath" package that can be
+used with the standard \LaTeX{} \verb"article" document class.  I'll
+only be discussing the \verb"amsart" document class here.  For the
+others, see the \AmS-\LaTeX{} User's Guide~\cite{amslatexusersguide}.
 
 
-The simplest version of the \verb"documentstyle" command is
+The simplest version of the \verb"documentclass" command is
 \begin{center}
-\verb"\documentstyle{amsart}"
+\verb"\documentclass{amsart}"
 \end{center}
 This will give you the default type size, which is 10~point type.  If
 you'd like to use 12~point type, then you should include the optional
 argument \verb"[12pt]"; this makes the command
 \begin{center}
-\verb"\documentstyle[12pt]{amsart}"
+\verb"\documentclass[12pt]{amsart}"
 \end{center}
-There should be no spaces inside the square brackets that enclose the
-optional argument.
 
-There are two other optional arguments that might be of interest.
+
+There are at least two optional packages that might be of interest.
 The first is for when you want to include the macros that make it
 easier to draw commutative diagrams.  (These aren't included
 automatically, since they take up a lot of memory, and not everyone
-wants to use them.)  If you want 10~point type and
-you want to use the commutative diagram macros, then the command
-is
+wants to use them.)  If you want 10~point type and you want to use the
+commutative diagram macros, then the commands to use are
 \begin{center}
-\verb"\documentstyle[amscd]{amsart}"
+  \begin{tabular}{l}
+    \verb"\documentclass{amsart}"\\
+    \verb"\usepackage{amscd}"
+  \end{tabular}
 \end{center}
 If you want 12~point type and you want to use the commutative
-diagram macros, then the command is
+diagram macros, then the commands are
 \begin{center}
-\verb"\documentstyle[12pt,amscd]{amsart}"
+  \begin{tabular}{l}
+    \verb"\documentclass[12pt]{amsart}"\\
+    \verb"\usepackage{amscd}"
+  \end{tabular}
 \end{center}
-The other optional argument is for use when you want to use some of
-the special symbols contained in the \AmS{}Fonts package.  (These are
-the fonts \verb"msam" and \verb"msbm".)  If you want the standard
-names for these symbols to be defined for your use, then you need to
-include the optional argument \verb"amssymb".  Thus, to use the
-default 10~point type and have the special symbols defined, use the
-command
+
+
+The other optional package is for use when you want to use some of the
+special symbols contained in the \AmS-Fonts package.  (These are the
+fonts \verb"msam" and \verb"msbm".)  If you want the standard names
+for these symbols to be defined for your use, then you need to use the
+optional package \verb"amssymb".  Thus, to use the default 10~point
+type and have the special symbols defined, use the commands
 \begin{center}
-\verb"\documentstyle[amssymb]{amsart}"
+  \begin{tabular}{l}
+    \verb"\documentclass{amsart}"\\
+    \verb"\usepackage{amssymb}"
+  \end{tabular}
 \end{center}
 If you want to use 12~point type, the commutative diagram macros, and
-special symbols from the \AmS{}Fonts collection, then use the command
+special symbols from the \AmS-Fonts collection, then use the commands
 \begin{center}
-\verb"\documentstyle[12pt,amscd,amssymb]{amsart}"
+  \begin{tabular}{l}
+    \verb"\documentclass[12pt]{amsart}"\\
+    \verb"\usepackage{amssymb}"
+  \end{tabular}
+\end{center}
+This document uses both of these packages, and so we used the commands
+\begin{center}
+  \begin{tabular}{l}
+    \verb"\documentclass[12pt]{amsart}"\\
+    \verb"\usepackage{amscd}"\\
+    \verb"\usepackage{amssymb}"
+  \end{tabular}
 \end{center}
-You can list the optional arguments \verb"12pt", \verb"amscd", and
-\verb"amssymb" in
-whatever order you like, but there should be {\em no spaces\/}
-inside of the square brackets, and the optional arguments should be
-separated by commas.
-
-
 
 %---------------------------------------------------------------------
 
-\subsection{{\tt begin\{document\}} and
-{\tt end\{document\}}}
+\subsection{\texttt{begin\{document\}} and \texttt{end\{document\}}}
 
 Everything that is to appear in the document must appear in between
 the \verb"\begin{document}" and \verb"\end{document}" commands. There
 are no optional arguments for these commands, so they always look the
 same.  Anything following the \verb"\end{document}" command is
-ignored.  You {\em are\/} allowed to have macro definitions (i.e.,
+ignored.  You \emph{are} allowed to have macro definitions (i.e.,
 newcommands; see Section~\ref{sec:definitions}) before the
-\verb"\begin{document}", and that's actually a good place for them, but
-that's about all.
+\verb"\begin{document}", and that's actually a good place for them,
+  but that's about all.
 
 %---------------------------------------------------------------------
 \subsection{Sections and subsections}
@@ -291,18 +290,18 @@ To begin a new section, you give the command
 \end{center}
 To begin the present section, I gave the command
 \begin{center}
-\verb"\section{Basic \LaTeX\ stuff}"
+\verb"\section{Basic \LaTeX{} stuff}"
+\end{center}
+A section number is supplied automatically.  If you want to be able to
+make reference to that section, then you need to \emph{label} it.
+Since I wanted to be able to demonstrate the cross-reference commands,
+I actually began this section with the lines
+\begin{center}
+  \begin{tabular}{l}
+    \verb"\section{Basic \LaTeX{} stuff}"\\
+    \verb"\label{sec:basicstuff}"
+  \end{tabular}
 \end{center}
-A section number is supplied automatically.  If you want to be able
-to make reference to that section, then you need to {\em label\/} it.
-Since I wanted to be able to demonstrate the cross-reference
-commands, I actually began this section with the lines
-%
-\begin{verbatim}
-\section{Basic \LaTeX\ stuff}
-\label{sec:basicstuff}
-\end{verbatim}
-%
 This allows me to say ``\verb"Section~\ref{sec:basicstuff}"'' and have
 it printed as Section~\ref{sec:basicstuff}.
 
@@ -315,24 +314,25 @@ To begin the present subsection, I gave the command
 \verb"\subsection{Sections and subsections}"
 \end{center}
 A subsection number is supplied automatically.  If you want to be able
-to make reference to that subsection, then you need to {\em label\/}
+to make reference to that subsection, then you need to \emph{label}
 it.  This subsection was begun with the lines
-%
-\begin{verbatim}
-\subsection{Sections and subsections}
-\label{sec:sections}
-\end{verbatim}
-%
+\begin{center}
+  \begin{tabular}{l}
+    \verb"\subsection{Sections and subsections}"\\
+    \verb"\label{sec:sections}"
+  \end{tabular}
+\end{center}
 so if we say ``\verb"Section~\ref{sec:sections}",'' it is printed as
 Section~\ref{sec:sections}.
 
 Labels always take the number of the smallest enclosing structure.
-Thus, a \verb"\label" command that's inside a section but {\em not\/}
-inside a subsection or Theorem or anything else will take the value
-of the section counter, while a \verb"\label" command that's inside
-the statement of a Theorem will take the value of that Theorem
-number.  For more information on this, see Section~\ref{sec:xreferences}.
+Thus, a \verb"\label" command that's inside a section but \emph{not}
+inside a subsection or Theorem or anything else will take the value of
+the section counter, while a \verb"\label" command that's inside the
+statement of a Theorem will take the value of that Theorem number.
+For more information on this, see Section~\ref{sec:xreferences}.
 
+%--------------------------------------------------------------------
 \subsubsection{Yes, there are subsubsections too}
 
 I began this subsubsection with the command
@@ -343,125 +343,132 @@ I refuse to even experiment to see if there are subsubsubsections.
 
 
 
+%--------------------------------------------------------------------
 \subsubsection*{Sections without numbers}
 
 I began this subsubsection with the command
-\begin{verbatim}
-\subsubsection*{Sections without numbers}
-\end{verbatim}
-and got a subsubsection that wasn't numbered.  If you give the
-command
-\begin{verbatim}
-\section*{A Section Title}
-\end{verbatim}
-then you'll begin a new section, which will not have a number.
-
-
+\begin{center}
+\verb"\subsubsection*{Sections without numbers}"
+\end{center}
+and got a subsubsection that wasn't numbered.  If you give the command
+\begin{center}
+\verb"\section*{A Section Title}"
+\end{center}
+then you'll begin a new section that will not have a number.
 
 
 
 %---------------------------------------------------------------------
-\subsection{Italics {\em for emphasis\/}}
+\subsection{Italics \emph{for emphasis}}
 
-If you want to use italics to emphasize a word or two, the \LaTeX\
-convention is not to switch explicitly to  italics, but rather to use
-the command \verb"\em" (which means {\em emphasize\/}).  This command
+If you want to use italics to emphasize a word or two, the \LaTeX{}
+convention is not to switch explicitly to italics, but rather to use
+the command \verb"\emph" (which means \emph{emphasize}).  This command
 works just like a font change command, except that it switches you
-{\em into\/} italics if the current font is roman, and switches you
-{\em out of\/} italics if the current font is italics.
+\emph{into} italics if the current font is upright, and switches you
+\emph{out of} italics if the current font is italics.
 
 For example, if you type
 \begin{center}
-\verb"The whole is {\em more\/} than the sum of its parts."
+\verb"The whole is \emph{more} than the sum of its parts."
 \end{center}
 you'll get
 \begin{center}
-The whole is {\em more\/} than the sum of its parts.
+The whole is \emph{more} than the sum of its parts.
 \end{center}
 but if you type
 \begin{verbatim}
 \begin{thm}
-The whole is\/ {\em more} than the sum of its parts.
+  The whole is \emph{more} than the sum of its parts.
 \end{thm}
 \end{verbatim}
 you'll get
 \begin{thm}
-The whole is\/ {\em more} than the sum of its parts.
+  The whole is \emph{more} than the sum of its parts.
 \end{thm}
 
 
+\subsubsection*{Note}
+
+The \verb"\emph" command is a recent addition to \LaTeX, and it has
+the feature that it automatically inserts an italic correction where
+needed.  If you don't know what an italic correction is, you can
+safely ignore this paragraph (but I will at least mention that all
+those ``\verb"\/"'' commands frequently seen in \TeX{} (and older
+\LaTeX) documents are all inserting italic corrections; the point of
+this paragraph is that, with the current version of \LaTeX, you don't
+have to do that anymore).
 
 
 
 %---------------------------------------------------------------------
 \subsection{Once is never enough}
 
-This is an explanation of how \LaTeX\ manages to fill in
+This is an explanation of how \LaTeX{} manages to fill in
 cross-references to parts of the file it hasn't processed yet, and
 what those \verb".aux" and \verb".toc" files are.
 
 
 \subsubsection*{Cross-References}
 
-Every time \LaTeX\ processes your file, it writes an {\em auxiliary\/}
+Every time \LaTeX{} processes your file, it writes an \emph{auxiliary}
 file.  Since the file containing these instructions is called
 \verb"amshelp.tex", the auxiliary file is called \verb"amshelp.aux".
-The auxiliary file contains the definitions of all the keys
-used for cross-references.  When \LaTeX\ begins to process your
-file, it first looks for an \verb".aux" file, and reads it in if
-it exists.  Of course, this is the \verb".aux" file that was produced
-the {\em last \/} time that your file was processed, so the Theorem
-numbers, Section numbers, etc.\ are all the ones from the last time
-the file was processed.
-
-The very first time that \LaTeX\ processes your file, there is no
-\verb".aux" file, and so \LaTeX\ gives {\em lots\/} of warning
+The auxiliary file contains the definitions of all the keys used for
+cross-references.  When \LaTeX{} begins to process your file, it first
+looks for an \verb".aux" file, and reads it in if it exists.  Of
+course, this is the \verb".aux" file that was produced the \emph{last}
+time that your file was processed, so the Theorem numbers, Section
+numbers, etc., are all the ones from the last time the file was
+processed.
+
+The very first time that \LaTeX{} processes your file, there is no
+\verb".aux" file, and so \LaTeX{} gives \emph{lots} of warning
 messages about undefined labels, or whatever.  Ignore all of this.
-The {\em next\/} time that you run \LaTeX, there {\em will\/} be an
+The \emph{next} time that you run \LaTeX, there \emph{will} be an
 \verb".aux" file, and all the references will be filled in.  (Yes, it
-is possible, at least in theory, for some page number to change
-every time you run \LaTeX\ on your file, even without any
-changes in the source file, but this isn't very likely.)
+is possible, at least in theory, for some page number to change every
+time you run \LaTeX{} on your file, even without any changes in the
+source file, but this isn't very likely.)
 
 \subsubsection*{The Table of Contents}
 
-If you give the command \verb"\tableofcontents", then \LaTeX\ will
+If you give the command \verb"\tableofcontents", then \LaTeX{} will
 try to write a table of contents, including the page numbers of the
-sections.  Obviously, \LaTeX\ can't know those page numbers or
-section titles yet, so as \LaTeX\ processes your file, it writes a
+sections.  Obviously, \LaTeX{} can't know those page numbers or
+section titles yet, so as \LaTeX{} processes your file, it writes a
 \verb".toc" file containing the information it needs.  (The
-\verb".toc" file for these instructions is \verb"amshelp.toc".)
-Once again, \LaTeX\ is always using the information from the {\em
-last\/} time that it processed your file.
-
-If you {\em do\/} include a table of contents in your document, and
-if the table of contents takes up at least a page or so of space,
-then you might have to run \LaTeX{} {\em three\/} times in order to
-get all of the cross-references correct.  The reason for this is that
-the first time you run \LaTeX{} there isn't any \verb".toc" file
-listing the section titles, and so the table of contents has nothing
-in it.  The second time you run \LaTeX{} you'll get a table of
-contents that lists the page numbers for the sections from the last
-time you ran \LaTeX, when the table of contents took up no space at
-all.  Unfortunately, during this second run, the table of contents
-will be created, and will take up enough space to change the page
-numbers of the sections from what they were during the first run.
-Only during the {\em third\/} run will the correct page numbers be
-written into the table of contents.  Since this doesn't change the
-amount of space that the table of contents occupies, this version
-will be correct.
+\verb".toc" file for these instructions is \verb"amshelp.toc".)  Once
+again, \LaTeX{} is always using the information from the \emph{last}
+time that it processed your file.
+
+If you \emph{do} include a table of contents in your document, and if
+the table of contents takes up at least a page or so of space, then
+you might have to run \LaTeX{} \emph{three} times in order to get all
+of the cross-references right.  The reason for this is that the first
+time you run \LaTeX{} there isn't any \verb".toc" file listing the
+section titles, and so the table of contents has nothing in it.  The
+second time you run \LaTeX{} you'll get a table of contents that lists
+the page numbers for the sections from the last time you ran \LaTeX,
+when the table of contents took up no space at all.  Unfortunately,
+during this second run, the table of contents will be created, and
+will take up enough space to change the page numbers of the sections
+from what they were during the first run.  Only during the
+\emph{third} run will the correct page numbers be written into the
+table of contents.  Since this doesn't change the amount of space that
+the table of contents occupies, this version will be correct.
 
 \subsubsection*{How do I know when everything is correct?}
 
-Every time that you run \LaTeX{}, it checks to see that the
-cross-reference numbers that it read from the \verb".aux"
-file are correct.  If any of them are incorrect, it
-prints a warning on the screen at the very end of the run advising
-you that  labels may have changed, and that you should run \LaTeX{}
-again to get the cross-references right.  Unfortunately, \LaTeX{}
-doesn't seem to check that the table of contents entries are correct,
-so if you change the name of a section in a way that doesn't make any
-page references incorrect, you won't be warned to run \LaTeX{} again.
+After processing your file, \LaTeX{} checks whether all the
+cross-reference numbers that it read from the \verb".aux" file are
+correct.  If any of them are incorrect, it prints a warning on the
+screen at the very end of the run advising you that labels may have
+changed, and that you should run \LaTeX{} again to get the
+cross-references right.  Unfortunately, \LaTeX{} doesn't seem to check
+that the table of contents entries are correct, so if you change the
+name of a section in a way that doesn't make any page references
+incorrect, you won't be warned to run \LaTeX{} again.
 
 
 
@@ -469,18 +476,15 @@ page references incorrect, you won't be warned to run \LaTeX{} again.
 
 %---------------------------------------------------------------------
 %---------------------------------------------------------------------
-\section{Title, Author,  and the {\tt maketitle}
-command}
+\section{Title, Author,  and the \texttt{maketitle} command}
 
 This stuff should go right after the \verb"\begin{document}" command.
-I'll give a quick sketch here, which is probably all you'll ever
-need, but the full explanation is given in the \AmS-\LaTeX\ sample
-paper \verb"testart.tex"~\cite[Page~3]{testart.tex}, with extra
-explanation given in the comments of the source file
-\verb"testart.tex" itself.  If you are already
-familiar with \LaTeX, then you should be warned that this part is
-slightly different from what you do when using the standard \LaTeX{}
-\verb"article" documentstyle.
+  I'll give a quick sketch here, which is probably all you'll ever
+  need, but the full explanation is given in \emph{Instructions for
+    preparation of papers and monographs: \AmS-\LaTeX} \cite{instr-l}.
+  If you are already familiar with \LaTeX, then you should be warned
+  that this part is slightly different from what you do when using the
+  standard \LaTeX{} \verb"article" documentclass.
 
 %---------------------------------------------------------------------
 
@@ -491,18 +495,23 @@ command
 \verb"\title[Optional running title]{Actual title}"
 \end{center}
 These instructions used the title command
-\begin{verbatim}
-\title[Running \AmS-\LaTeX]
-{Getting up and running\\
-with \AmS-\LaTeX}
-\end{verbatim}
+\begin{center}
+  \begin{tabular}{l}
+    \verb"\title[Running \AmS-\LaTeX]"\\
+    \verb"{Getting up and running\\"\\
+    \verb"with \AmS-\LaTeX}"
+  \end{tabular}
+\end{center}
 Notice that you indicate line breaks in the title with a double
-backslash.  If I had decided to let the {\em full\/} title be printed
+backslash.  If I had decided to let the \emph{full} title be printed
 in the head of the odd numbered pages, I would have used the command
-\begin{verbatim}
-\title{Getting up and running\\
-with \AmS-\LaTeX}
-\end{verbatim}
+\begin{center}
+  \begin{tabular}{l}
+    \verb"\title{Getting up and running\\"\\
+    \verb"with \AmS-\LaTeX}"
+  \end{tabular}
+\end{center}
+
 
 
 %---------------------------------------------------------------------
@@ -518,22 +527,33 @@ These directions used the command
 The author's address is given in an address command, with double
 backslashes to indicate line breaks.  These instructions used the
 command
-\begin{verbatim}
-\address{Department of Mathematics\\
-         Wellesley College\\
-         Wellesley, MA 02181}
-\end{verbatim}
-You can also include an email address, but you have to enter a double
-``at'' sign for each one in the address.  These instructions used
-\begin{verbatim}
-\email{phirschhorn@@lucy.wellesley.edu}
-\end{verbatim}
+\begin{center}
+  \begin{tabular}{l}
+    \verb"\address{Department of Mathematics\\"\\
+    \verb"Wellesley College\\"\\
+    \verb"Wellesley, Massachusetts 02481}"
+  \end{tabular}
+\end{center}
+If the author's current address is different from the address at which
+the research was carried out, then you can specify the current address
+with the command \verb"\curraddr".  For example, you might say
+\begin{center}
+  \begin{tabular}{l}
+    \verb"\curraddr{Department of Mechanics\\"\\
+    \verb"Brake and Wheel Bearing Division\\"\\
+    \verb"Serene Service Center\\"\\
+    \verb"Salem, Massachusetts 02139}"
+  \end{tabular}
+\end{center}
+You can also include an email address, with the \verb"\email"
+command.  These instructions used the command
+\begin{center}
+  \verb"\email{psh@math.mit.edu}"
+\end{center}
 To acknowledge support, use the command \verb"\thanks", e.g.,
-%
-\begin{verbatim}
-\thanks{Supported in part by NSF grant 3.14159}
-\end{verbatim}
-%
+\begin{center}
+  \verb"\thanks{Supported in part by NSF grant 3.14159}"
+\end{center}
 This will be printed as a footnote on the first page.
 
 
@@ -543,18 +563,17 @@ This will be printed as a footnote on the first page.
 \subsubsection*{Multiple authors}
 
 If there are several authors, then each one should have a separate
-\verb"\author" command, with each individual's address following that
-individual's \verb"\author" command, in its own \verb"\address"
-command.  If there {\em are\/} several authors, and their combined
-names are too long for the running head on the even numbered pages,
-you can give a running head as an optional argument in square
-brackets.  (It's apparently a convention that the running head in a
-multiple author paper should have only initials for the first and
+\verb"\author" command, with each individual's address (and current
+address, and email address) following that individual's \verb"\author"
+command, in its own \verb"\address" command (and \verb"\curraddr"
+command, and \verb"\email" command).  If there \emph{are} several
+authors, and their combined names are too long for the running head on
+the even numbered pages, you can give an optional argument to each
+\verb"\author" command to supply a shortened form to use in the
+running head.  (It's apparently a convention that the running head in
+a multiple author paper should have only initials for the first and
 middle names, but I don't think that I was invited to that
-convention.)  The source file \verb"testart.tex" is an example
-of a paper with three authors, two of whom are at the same
-institution.  The comments in the source file carefully explain
-what's going on.
+convention.)
 
 
 %---------------------------------------------------------------------
@@ -569,15 +588,15 @@ To have the date of processing used, use the command
 \verb"\date{\today}".
 
 %---------------------------------------------------------------------
-\subsection{{\tt maketitle}}
+\subsection{\texttt{maketitle}}
 
 
 After you've given all of the commands mentioned in this section, you
 can give the command \verb"\maketitle".  The exact arrangement is
-determined by the document style.  In particular, the \verb"amsart"
-document style puts the author's address at the {\em end\/} of the
-paper.  If you {\em don't\/} give
-the command \verb"\maketitle", a title won't be made.
+determined by the document class.  In particular, the \verb"amsart"
+document class puts the author's address at the \emph{end} of the
+paper.  If you \emph{don't} give the command \verb"\maketitle", a
+title won't be made.
 
 
 
@@ -594,100 +613,98 @@ The instructions in this section assume that you're using the
 To state a theorem, you do the following:
 \begin{verbatim}
 \begin{thm}
-The square of the hypotenuse of a right triangle is equal to the sum
-of the squares of the two adjacent sides.
+The square of the hypotenuse of a right triangle
+is equal to the sum of the squares of the two
+adjacent sides.
 \end{thm}
 \end{verbatim}
 If you do that, you'll get the following:
 \begin{thm}
 \label{pythagthm}
-The square of the hypotenuse of a right triangle is equal to the sum
-of the squares of the two adjacent sides.
+The square of the hypotenuse of a right triangle
+is equal to the sum of the squares of the two
+adjacent sides.
 \end{thm}
 If you thought that it was only a proposition, you'd use
 \begin{verbatim}
 \begin{prop}
-The square of the hypotenuse of a right triangle is equal to the sum
-of the squares of the two adjacent sides.
+The square of the hypotenuse of a right triangle
+is equal to the sum of the squares of the two
+adjacent sides.
 \end{prop}
 \end{verbatim}
 and you'd get
 \begin{prop}
-The square of the hypotenuse of a right triangle is equal to the sum
-of the squares of the two adjacent sides.
+The square of the hypotenuse of a right triangle
+is equal to the sum of the squares of the two
+adjacent sides.
 \end{prop}
 
-If you think it's a theorem again, but you'd like to make reference
-to it in some other part of the paper, you have to choose a {\em
-key\/} with which you'll refer to it, and then {\em label\/} the
-theorem.  If you want to use the key {\em pythagthm}, then it would
-look like the following:
+If you think it's a theorem again, but you'd like to make reference to
+it in some other part of the paper, you have to choose a \emph{key}
+with which you'll refer to it, and then \emph{label} the theorem.  If
+you want to use the key \emph{pythagthm}, then it would look like the
+following:
 \begin{verbatim}
 \begin{thm}
 \label{pythagthm}
-The square of the hypotenuse of a right triangle is equal to the sum
-of the squares of the two adjacent sides.
+The square of the hypotenuse of a right triangle
+is equal to the sum of the squares of the two
+adjacent sides.
 \end{thm}
 \end{verbatim}
 If you later give the command \verb"\ref{pythagthm}", then that
-command will expand to the {\em number\/} that was assigned to that
+command will expand to the \emph{number} that was assigned to that
 theorem (in this case, \ref{pythagthm}).  For more explanation of
 cross-references, see Section~\ref{sec:xreferences}.
 
-If you'd like to state a theorem and give a {\em name\/} to it, then
-you can add an optional argument to the \verb"\begin{thm}" command.
+If you'd like to state a theorem and give a \emph{name} to it, then
+you can add an optional argument to the \verb"\begin{thm}" command. 
 If you type
 \begin{verbatim}
 \begin{thm}[Pythagorus]
-The square of the hypotenuse of a right triangle is equal to the sum
-of the squares of the two adjacent sides.
+The square of the hypotenuse of a right triangle
+is equal to the sum of the squares of the two
+adjacent sides.
 \end{thm}
 \end{verbatim}
 you'll get
 \begin{thm}[Pythagorus]
-The square of the hypotenuse of a right triangle is equal to the sum
-of the squares of the two adjacent sides.
+The square of the hypotenuse of a right triangle
+is equal to the sum of the squares of the two
+adjacent sides.
 \end{thm}
 
 
 \subsubsection*{Summary of environments provided in the template}
 
-Most of the following structures are numbered in the same sequence,
-in the form SectionNumber.Number.  The exceptions are that the
-\verb"bigthm" environment is numbered separately and uses letters
-instead of numbers (i.e., {\bf Theorem~A}, {\bf Theorem~B}, etc.),
-and the Notation and Terminology environments are unnumbered.
+All of the following structures are numbered in the same sequence,
+in the form SectionNumber.Number.  Equations (i.e., displayed
+formulas, whether they are equations or not) will be numbered in the
+same sequence.
 
 $$
 \begin{tabular}{c@{\hspace{4em}}l@{\hspace{4em}}c}
 
 \multicolumn{3}{c}{Theorem Environments}\\*[8pt]
 
-\hspace{1em}Environment Name&  Printed Form&
-                             Font shape used in body\\*[6pt]
-
-{\tt bigthm}&        {\bf Theorem}&      Slanted\\
-{\tt thm}&           {\bf Theorem}&      Slanted\\
-{\tt cor}&           {\bf Corollary}&    Slanted\\
-{\tt lem}&           {\bf Lemma}&        Slanted\\
-{\tt prop}&          {\bf Proposition}&  Slanted\\
-{\tt defn}&          {\bf Definition}&   Normal\\
-{\tt rem}&           {\it Remark}&       Normal\\
-{\tt ex}&            {\it Example}&      Normal\\
-{\tt notation}&      {\it Notation}&     Normal\\
-{\tt terminology}&   {\it Terminology}&  Normal\\*[3pt]
+\hspace{1em}Name&  Printed Form& Body font\\*[6pt]
+
+\texttt{thm}&           \textbf{Theorem}&      Italic\\
+\texttt{cor}&           \textbf{Corollary}&    Italic\\
+\texttt{lem}&           \textbf{Lemma}&        Italic\\
+\texttt{prop}&          \textbf{Proposition}&  Italic\\
+\texttt{defn}&          \textbf{Definition}&   Normal\\
+\texttt{rem}&           \textit{Remark}&       Normal\\
+\texttt{ex}&            \textit{Example}&      Normal\\
+\texttt{notation}&      \textit{Notation}&     Normal\\
+\texttt{terminology}&   \textit{Terminology}&  Normal\\*[3pt]
 \end{tabular}
 $$
 
-
-
 For full details, see the beginning of the template file (reproduced
 here in Section~\ref{sec:template}), after the comment ``The Theorem
-Environments.''  To change the font used in the body of the
-environment, see Section~\ref{sec:thmfonts}.
-
-
-
+Environments.''
 
 
 
@@ -696,102 +713,40 @@ environment, see Section~\ref{sec:thmfonts}.
 
 To give a proof, you do the following:
 \begin{verbatim}
-\begin{pf}
+\begin{proof}
 As any fool can plainly see, it's true!
-\end{pf}
+\end{proof}
 \end{verbatim}
 and you'll get the following:
-\begin{pf}
+\begin{proof}
 As any fool can plainly see, it's true!
-\end{pf}
+\end{proof}
 If the theorem said that a condition was both necessary and sufficient
 for something, and you want to prove each part separately,
 you can do the following:
 \begin{verbatim}
-\begin{pf*}{Proof (sufficiency)}
-Well, it's {\em obviously\/} sufficient!
-\end{pf*}
+\begin{proof}[Proof (sufficiency)]
+Well, it's \emph{obviously} sufficient!
+\end{proof}
 \end{verbatim}
 and you'll get
-\begin{pf*}{Proof (sufficiency)}
-Well, it's {\em obviously\/} sufficient!
-\end{pf*}
-that is, if you use the \verb"pf*" environment instead of the
-\verb"pf" environment, you must include a second
-argument to the \verb"\begin{pf*}" command
-which will be printed in place of the word ``{\em Proof\/}''
-that would have been supplied by \verb"\begin{pf}".
+\begin{proof}[Proof (sufficiency)]
+Well, it's \emph{obviously} sufficient!
+\end{proof}
+that is, the \verb"proof" environment allows you to use an optional
+second argument that will appear in place of the word \verb"Proof".
 
 If the proof of Theorem~\ref{pythagthm} does not appear immediately
 after its statement, you might use the following:
 \begin{verbatim}
-\begin{pf*}{Proof of Theorem~\ref{pythagthm}}
+\begin{proof}[Proof of Theorem~\ref{pythagthm}]
 As any fool can plainly see, it's true!
-\end{pf*}
+\end{proof}
 \end{verbatim}
 and you'd get
-\begin{pf*}{Proof of Theorem~\ref{pythagthm}}
+\begin{proof}[Proof of Theorem~\ref{pythagthm}]
 As any fool can plainly see, it's true!
-\end{pf*}
-
-%---------------------------------------------------------------------
-\subsection{Changing the fonts used in theorems, etc.}
-\label{sec:thmfonts}
-
-This section is set in small type because it's technical,
-and you probably don't need to worry about it.  We explain how
-to change the font used in the body of theorem environments, in case
-you don't like what we've set up.
-
-\begin{technical}
-Each `theorem' environment is defined by a \verb"\newtheorem"
-command.  The fonts used in the header and the body of the
-`theorem' are determined by the theoremstyle that is
-current when the \verb"\newtheorem" command is given.
-
-The \verb"amsart" documentstyle provides three theoremstyles:
-\verb"plain", \verb"definition", and \verb"remark".  The \verb"plain"
-theoremstyle chooses italics as the default font for the body of the
-theorem.  In the template, we've used the \verb"\theorembodyfont"
-command to change the font used in the body of the theorem to
-slanted.
-
-The template file includes the commands
-%
-\begin{verbatim}
-\theoremstyle{plain}   %% This is the default, anyway
-\begingroup % Confine the \theorembodyfont command
-\theorembodyfont{\sl}
-\newtheorem{bigthm}{Theorem}   % Numbered separately, as A, B, etc.
-\newtheorem{thm}{Theorem}[section]   % Numbered within each section
-\newtheorem{cor}[thm]{Corollary}     % Numbered along with thm
-\newtheorem{lem}[thm]{Lemma}         % Numbered along with thm
-\newtheorem{prop}[thm]{Proposition}  % Numbered along with thm
-\endgroup
-
-%%% We need to do the following outside of any group,
-%%% since it's not \global:
-\renewcommand{\thebigthm}{\Alph{bigthm}}  % Number as "Theorem A."
-\end{verbatim}
-%
-This sets things up so that the font used for the body of theorems,
-Propositions, etc.{} is slanted.  The \verb"\theorembodyfont" command
-changes the font used, and the \verb"\begingroup" and
-\verb"\endgroup" commands keep this from affecting any environments
-that are defined later.
-
-If you prefer italics in the body of theorems, then remove the
-\verb"\theorembodyfont" command.  If you'd like to change the font
-used in the body of `theorems' in either the \verb"definition" or
-\verb"remark" theoremstyles (both of which use normal type), then
-insert the appropriate \verb"\theorembodyfont" commands (enclosing the
-\verb"\theorembodyfont" and \verb"\newtheorem" commands in a group,
-to avoid unintentionally affecting the font of `theorems' that you
-define later).
-
-\end{technical}
-
-
+\end{proof}
 
 
 
@@ -809,13 +764,13 @@ reference numbers filled in automatically by \LaTeX.
 \label{sec:thmrefs}
 
 For each structure in the manuscript to which you'll be making
-reference, you must assign a {\em key\/} that you'll use to refer to
-that structure.  For sections, theorems and numbered equations, you assign
-the key using the \verb"\label" command.  This command takes one
-argument, which is the {\em key\/} you're assigning to the object.
+reference, you must assign a \emph{key} that you'll use to refer to
+that structure.  For sections, theorems and numbered equations, you
+assign the key using the \verb"\label" command.  This command takes
+one argument, which is the \emph{key} you're assigning to the object.
 The command \verb"\ref{key}" then produces the number that was
-assigned to that structure.  If the structure is an equation, then
-the command \verb"\eqref{key}" should be used instead of the command
+assigned to that structure.  If the structure is an equation, then the
+command \verb"\eqref{key}" should be used instead of the command
 \verb"\ref{key}".
 
 
@@ -823,15 +778,16 @@ Consider the following example.
 \begin{thm}
 \label{homotopy}
 If the maps $f\colon X \to Y$ and $g\colon X \to Y$ are homotopic,
-then $f_* = g_* \colon H_*X \to H_*Y$.
+then $f_* = g_* \colon \mathrm{H}_*X \to \mathrm{H}_*Y$.
 \end{thm}
 
 We typed this theorem as follows.
 \begin{verbatim}
 \begin{thm}
 \label{homotopy}
-If the maps $f\colon X \to Y$ and $g\colon X \to Y$ are homotopic,
-then $f_* = g_* \colon H_*X \to H_*Y$.
+If the maps $f\colon X \to Y$ and $g\colon X \to Y$ are
+homotopic, then 
+$f_* = g_* \colon \mathrm{H}_*X \to \mathrm{H}_*Y$.
 \end{thm}
 \end{verbatim}
 If we now type ``\verb"see Theorem~\ref{homotopy}",'' then it will be
@@ -844,66 +800,64 @@ printed as ``see Theorem~\ref{homotopy}.''
 \subsubsection*{So, what exactly is the label labeling?}
 
 We began this section by typing
-\begin{verbatim}
-\section{Cross-References}
-\label{sec:xreferences}
-\end{verbatim}
+\begin{center}
+  \begin{tabular}{l}
+    \verb"\section{Cross-References}"\\
+    \verb"\label{sec:xreferences}"
+  \end{tabular}
+\end{center}
 and we began this subsection by typing
-\begin{verbatim}
-\subsection{References to sections, theorems and equations}
-\label{sec:thmrefs}
-\end{verbatim}
-The phrase ``\verb"See Section~\ref{sec:xreferences}"'' is
-printed as ``See Section~\ref{sec:xreferences},'' while the phrase
-``\verb"See Section~\ref{sec:thmrefs}"'' is printed as
-``See Section~\ref{sec:thmrefs}.''
+\begin{center}
+  \begin{tabular}{l}
+    \verb"\subsection{References to sections, theorems and equations}"\\
+    \verb"\label{sec:thmrefs}"
+  \end{tabular}
+\end{center}
+The phrase ``\verb"See Section~\ref{sec:xreferences}"'' is printed as
+``See Section~\ref{sec:xreferences},'' while the phrase 
+``\verb"See Section~\ref{sec:thmrefs}"'' is printed as ``See
+Section~\ref{sec:thmrefs}.''
 
 
 The command \verb"\label{key}" assigns to \verb"key" the value of the
-{\em smallest enclosing structure}.  That's why the command
-\verb"\ref{sec:xreferences}" is printed
-as ~\ref{sec:xreferences}, while
-\verb"\ref{sec:thmrefs}" is printed as~\ref{sec:thmrefs}:
-the key \verb"sec:xreferences" was defined inside of
-Section~\ref{sec:xreferences} but {\em outside\/} of
+\emph{smallest enclosing structure}.  That's why the command
+\verb"\ref{sec:xreferences}" is printed as~\ref{sec:xreferences},
+while \verb"\ref{sec:thmrefs}" is printed as~\ref{sec:thmrefs}: the
+key \verb"sec:xreferences" was defined inside of
+Section~\ref{sec:xreferences} but \emph{outside} of
 Section~\ref{sec:thmrefs}, while the key \verb"sec:thmrefs" was
-defined {\em inside\/} of Section~\ref{sec:thmrefs}.
+defined \emph{inside} of Section~\ref{sec:thmrefs}.
 
 
 \subsubsection*{References to equations}
 
-To make reference to a numbered equation, you assign the {\em key\/}
+To make reference to a numbered equation, you assign the \emph{key}
 as before, but you replace \verb"\ref" with \verb"\eqref".  For
 example, if you type
-%
 \begin{verbatim}
 \begin{equation}
 \label{additivity}
-H_* \bigvee_{\alpha\in A} X_\alpha   \iso
-          \bigoplus_{\alpha\in A}H_* X_\alpha
+\mathrm{H}_* \bigvee_{\alpha\in A} X_\alpha   \iso
+          \bigoplus_{\alpha\in A}\mathrm{H}_* X_\alpha
 \end{equation}
 \end{verbatim}
-%
 then you'll get
-%
 \begin{equation}
 \label{additivity}
-H_* \bigvee_{\alpha\in A} X_\alpha   \iso
-          \bigoplus_{\alpha\in A}H_* X_\alpha
+\mathrm{H}_* \bigvee_{\alpha\in A} X_\alpha   \iso
+          \bigoplus_{\alpha\in A}\mathrm{H}_* X_\alpha
 \end{equation}
-%
 If we now say
-%
 \begin{verbatim}
 \begin{thm}
-Equation~\eqref{additivity} is true for all sorts of functors $H$.
+Equation~\eqref{additivity} is true for all sorts of
+functors $\mathrm{H}$.
 \end{thm}
 \end{verbatim}
-%
 then we'll get
-%
 \begin{thm}
-Equation~\eqref{additivity} is true for all sorts of functors $H$.
+Equation~\eqref{additivity} is true for all sorts of
+functors $\mathrm{H}$.
 \end{thm}
 Notice the parentheses around the equation number, and the fact that
 even though the theorem is set in slanted type, the equation
@@ -917,14 +871,13 @@ italic correction if it's needed.
 %---------------------------------------------------------------------
 \subsection{References to page numbers}
 
-If you want to make reference to the {\em page\/} that contains a
+If you want to make reference to the \emph{page} that contains a
 label, rather than to the structure that is labeled, use the command
 \verb"\pageref{key}".  For example, if you type
-%
 \begin{verbatim}
-Look at page~\pageref{homotopy} to find Theorem~\ref{homotopy}.
+Look at page~\pageref{homotopy} to find
+Theorem~\ref{homotopy}.
 \end{verbatim}
-%
 you'll get ``Look at page~\pageref{homotopy} to find
 Theorem~\ref{homotopy}.''
 
@@ -939,7 +892,7 @@ Theorem~\ref{homotopy}.''
 \label{sec:bibreferences}
 
 
-Bibliography entries receive a {\em key\/} as part of their basic
+Bibliography entries receive a \emph{key} as part of their basic
 structure.  Each item in the bibliography is entered as
 \begin{verbatim}
 \bibitem{key} The actual bibliography item goes here.
@@ -951,7 +904,7 @@ example, the bibliography of these instructions contains the entry
 %
 \begin{verbatim}
 \bibitem{HA}
-D. G. Quillen, {\em Homotopical Algebra,} Lecture Notes in
+D. G. Quillen, \emph{Homotopical Algebra,} Lecture Notes in
 Mathematics number 43, Springer-Verlag, Berlin, 1967.
 \end{verbatim}
 %
@@ -960,10 +913,10 @@ will be printed as ``This is the work of Quillen~\cite{HA}.''  Notice
 that square brackets have been inserted around the bibliography item
 number.
 
-The \verb"\cite" command takes an optional second argument, which
-allows you to annotate the reference.  If we say
-``\verb"see~\cite[Chapter I]{HA}",'' then it will be printed as
-``see~\cite[Chapter I]{HA}.''
+The \verb"\cite" command takes an optional argument, which allows you
+to annotate the reference.  If we say
+``\verb"see~\cite[Chapter I]{HA}"'', then it will be printed as
+``see~\cite[Chapter I]{HA}''.
 
 
 
@@ -977,23 +930,23 @@ allows you to annotate the reference.  If we say
 \subsection{Mathematics in running text}
 
 This is pretty much exactly as it is in plain \TeX, except that you
-have an extra option (which you can ignore).  The simplest thing is
-to just enclose between dollar signs (\verb"$") any material that should be
-in math mode.  Thus, if you type
+have an extra option (which you can ignore).  The simplest thing is to
+just enclose between dollar signs (\verb"$") any material that should
+be in math mode.  Thus, if you type
 \begin{center}
-\verb"This is true for $ i + j \le n$."
+\verb"Let $f\colon X \to Y$ be a continuous function."
 \end{center}
 you'll get
 \begin{center}
-This is true for $ i + j \le n$.
+Let $f\colon X \to Y$ be a continuous function.
 \end{center}
 
-The only novelty that \LaTeX\ introduces is that, instead of using
+The only novelty that \LaTeX{} introduces is that, instead of using
 a dollar sign  to toggle math mode on and off, you can use
-`\verb"\("' to {\em begin\/} math mode, and `\verb"\)"' to {\em end\/}
+`\verb"\("' to \emph{begin} math mode, and `\verb"\)"' to \emph{end}
 math mode.  Thus, the example above is equivalent to typing
 \begin{center}
-\verb"This is true for \( i + j \le n\)."
+\verb"Let \(f\colon X \to Y\) be a continuous function."
 \end{center}
 This provides a tiny bit more error checking, but can
 otherwise be safely ignored.
@@ -1007,41 +960,33 @@ very much like plain \TeX, again with extra choices that can be
 ignored.  If you enclose material between double dollar
 signs(\verb"$$"), it will be interpreted in math mode and displayed.
 Thus, if you've previously given the command
-\verb"\newcommand{\iso}{\approx}" (see
-Section~\ref{sec:definitions}),
-and you type
-%
+\begin{center}
+  \verb"\newcommand{\iso}{\approx}"
+\end{center}
+(see Section~\ref{sec:definitions}), and you type
 \begin{verbatim}
 $$
 \pi_1(X \vee Y) \iso \pi_1X * \pi_1Y
 $$
 \end{verbatim}
-%
 you'll get
-%
 $$
 \pi_1(X \vee Y) \iso \pi_1X * \pi_1Y
 $$
-%
 The new choices are that exactly the same thing will be obtained by
 either
-%
 \begin{verbatim}
 \[
 \pi_1(X \vee Y) \iso \pi_1X * \pi_1Y
 \]
 \end{verbatim}
-%
 or by
-%
 \begin{verbatim}
 \begin{displaymath}
 \pi_1(X \vee Y) \iso \pi_1X * \pi_1Y
 \end{displaymath}
 \end{verbatim}
-%
 or by
-%
 \begin{verbatim}
 \begin{equation*}
 \pi_1(X \vee Y) \iso \pi_1X * \pi_1Y
@@ -1049,50 +994,43 @@ or by
 \end{verbatim}
 
 
-If you'd like the displayed formula to be {\em numbered}, then you
+If you'd like the displayed formula to be \emph{numbered}, then you
 should use the \verb"equation" environment.  (\LaTeX{} calls all
-formula numbers {\em equation numbers}, whether or not the
+formula numbers \emph{equation numbers}, whether or not the
 mathematics has anything to do with equations.)  If you type
-%
 \begin{verbatim}
 \begin{equation}
 \pi_1(X \vee Y) \iso \pi_1X * \pi_1Y
 \end{equation}
 \end{verbatim}
-%
 you'll get
-%
 \begin{equation}
 \label{pi1eqn}
 \pi_1(X \vee Y) \iso \pi_1X * \pi_1Y
 \end{equation}
-%
 (Notice that the \verb"equation" environment produces an equation
 number, while the \verb"equation*" environment doesn't.  This is a
-standard \LaTeX ism: Adding an asterisk to the name of a numbered
+standard \LaTeX ism: Adding an asterisk to the name of a numbered 
 \LaTeX{} environment often gives the unnumbered equivalent.)
 
 
 If you'd like to be able to make reference to the equation number,
-you need to {\em label\/} the equation, using a {\em key\/} that you
+you need to \emph{label} the equation, using a \emph{key} that you
 can use for referencing it:
-%
 \begin{verbatim}
 \begin{equation}
 \label{pi1eqn}
 \pi_1(X \vee Y) \iso \pi_1X * \pi_1Y
 \end{equation}
 \end{verbatim}
-%
-If you later type ``\verb"see formula~\eqref{pi1eqn}"'' you'll get
+If you later type ``\verb"see formula~\eqref{pi1eqn}"'' you'll get 
 ``see formula~\eqref{pi1eqn}.''  (For more on cross-references to
 formulas, see Section~\ref{sec:thmrefs}.)
 
 \AmS-\LaTeX{} has several environments that make it easier to typeset
-complicated multiline displays.  These are explained in the
-\AmS-\LaTeX{} User's Guide~\cite[pages 26--30]{amslatexusersguide}
-and illustrated in
-\verb"testart.tex"~\cite[pages 30--42]{testart.tex}.
+complicated multi-line displays.  These are explained in the
+\AmS-\LaTeX{} User's Guide~\cite{amslatexusersguide} and illustrated
+in \verb"testmath.tex"~\cite[pages 29--40]{testmath}.
 
 
 
@@ -1100,37 +1038,41 @@ and illustrated in
 \subsection{Commutative diagrams}
 
 \AmS-\LaTeX{} provides the \verb"CD" environment for drawing
-commutative diagrams.  These only allow for {\em rectangular\/}
-diagrams, but they're very convenient to use.  If you want diagonal
-arrows, this section is of no use to you.
-
-{\bf Important:} To use the \verb"CD" environment, your
-\verb"documentstyle" command {\em must\/} include the \verb"amscd"
-option.  For example, the template file uses the command
+commutative diagrams.  These only allow for \emph{rectangular}
+diagrams, but they're very convenient to use.  If you need diagonal
+arrows, or curving arrows, or arrows that make a number of right angle
+turns, I recommend the XY-Pic package, which can do all of these
+things (and more).
+
+\textbf{Important}: To use the \verb"CD" environment, you need to load
+it with the command \verb"\usepackage{amscd}".  For example, the
+template file gives the commands
 \begin{center}
-\verb"\documentstyle[12pt,amscd]{amsart}"
+  \begin{tabular}{l}
+    \verb"\documentclass[12pt]{amsart}"\\
+    \verb"\usepackage{amscd}"
+  \end{tabular}
 \end{center}
-which selects the \verb"amsart" documentstyle, with two options: the
-first selects twelve point type as the default, and the second
-includes the macros for the \verb"CD" environment.
+which select the \verb"amsart" document class with twelve point type,
+and loads the macros for the \verb"CD" environment.
 
 \subsubsection*{A simple example}
 
 To produce the diagram
 $$
 \begin{CD}
-A    @>>>     B   @=     B\\
-@AAA       @|        @VVV\\
-X   @<<<   B   @>>>      Y
+A    @>>>  B   @=     B\\
+@AAA       @|         @VVV\\
+X    @<<<  B   @>>>   Y
 \end{CD}
 $$
 you type
 \begin{verbatim}
 $$
 \begin{CD}
-A    @>>>     B   @=     B\\
-@AAA       @|        @VVV\\
-X   @<<<   B   @>>>      Y
+A    @>>>  B   @=     B\\
+@AAA       @|         @VVV\\
+X    @<<<  B   @>>>   Y
 \end{CD}
 $$
 \end{verbatim}
@@ -1138,15 +1080,15 @@ This illustrates several things.  First of all, the \verb"CD"
 environment must be inside of a displayed mathematics environment.
 (Here we used the standard \verb"$$" toggle to get displayed
 mathematics.  If we had used, e.g., \verb"\begin{equation}" and
-\verb"\end{equation}", we would have had an equation number assigned
-to the display.)  Right pointing arrows are obtained with
-\verb"@>>>", left pointing arrows with \verb"@<<<", up
-pointing arrows with \verb"@AAA", down pointing
-arrows with \verb"@VVV", horizontal equals signs with \verb"@=", and
-vertical equals signs with \verb"@|".  Each line except the last is
-ended with a double backslash (\verb"\\").
+  \verb"\end{equation}", we would have had an equation number assigned
+to the display.)  Right pointing arrows are obtained with \verb"@>>>",
+left pointing arrows with \verb"@<<<", up pointing arrows with
+\verb"@AAA", down pointing arrows with \verb"@VVV", horizontal equals
+signs with \verb"@=", and vertical equals signs with \verb"@|".  Every
+line except the last is ended with a double backslash (\verb"\\").
 
 \subsubsection*{Labeling the arrows}
+
 The arrows can also be labeled.  For horizontal arrows, anything
 between the first and second inequality sign goes above the arrow,
 and anything between the second and third inequality sign goes below
@@ -1155,36 +1097,36 @@ it.  For downward arrows, anything between the first and second
 goes to the right (and similarly for upward arrows).  Thus, if you
 type
 \begin{verbatim}
-\begin{equation*}
+\begin{displaymath}
 \begin{CD}
-H_iX  @>f_*>>     H_iY   @<g_*<\iso<    E_fA\\
-@V\phi VV        @V\psi VV            @AA\Omega A\\
-\pi_iQ   @>\alpha\beta\gamma>>    \pi_i(R,S)
+\mathrm{H}_iX    @>f_*>>   \mathrm{H}_iY   @<g_*<\iso<    E_fA\\
+@V\phi VV                  @V\psi VV                 @AA\Omega A\\
+\pi_iQ  @>\alpha\beta\gamma>>  \pi_i(R,S)
                    @<<\text{A long arrow}<   \prod_{k=1}^i H_kZ
 \end{CD}
-\end{equation*}
+\end{displaymath}
 \end{verbatim}
 you'll get
-\begin{equation*}
+\begin{displaymath}
 \begin{CD}
-H_iX  @>f_*>>     H_iY   @<g_*<\iso<    E_fA\\
-@V\phi VV        @V\psi VV            @AA\Omega A\\
+\mathrm{H}_iX  @>f_*>>  \mathrm{H}_iY   @<g_*<\iso<    E_fA\\
+@V\phi VV               @V\psi VV                @AA\Omega A\\
 \pi_iQ   @>\alpha\beta\gamma>>    \pi_i(R,S)
                    @<<\text{A long arrow}<   \prod_{k=1}^i H_kZ
 \end{CD}
-\end{equation*}
+\end{displaymath}
 
 
 \subsubsection*{Leaving out part of the rectangle}
 
 If you want to end a line in the diagram early (omitting the right
 end of that line), just type the double backslash.  If you want to
-leave out the {\em beginning\/} of a line, you type ``\verb"@."''
-(the ``at'' sign followed by a period) to denote an invisible arrow.
+leave out the \emph{beginning} of a line, you type ``\verb"@."''
+(the ``at'' sign followed by a period) to denote an invisible arrow. 
 (It's the arrows that are the column markers in the \verb"CD"
 environment.)  Thus, if you type
 \begin{verbatim}
-\begin{equation*}
+\begin{displaymath}
 \begin{CD}
 X\\
 @VfVV\\
@@ -1192,10 +1134,10 @@ Y  @=     Y\\
 @.       @VVgV\\
   @.     Z
 \end{CD}
-\end{equation*}
+\end{displaymath}
 \end{verbatim}
 you'll get
-\begin{equation*}
+\begin{displaymath}
 \begin{CD}
 X\\
 @VfVV\\
@@ -1203,7 +1145,7 @@ Y  @=     Y\\
 @.       @VVgV\\
   @.     Z
 \end{CD}
-\end{equation*}
+\end{displaymath}
 
 
 
@@ -1211,12 +1153,12 @@ Y  @=     Y\\
 
 %---------------------------------------------------------------------
 %---------------------------------------------------------------------
-\section{Macro definitions, a.k.a.\ {\tt newcommand}}
+\section{Macro definitions, a.k.a.\ \texttt{newcommand}}
 \label{sec:definitions}
 
 
-\LaTeX\ allows you to use the same \verb"\def" command that you use
-in plain \TeX, but it's considered bad style.  Instead, \LaTeX\ has
+\LaTeX{} allows you to use the same \verb"\def" command that you use
+in plain \TeX, but it's considered bad style.  Instead, \LaTeX{} has
 the \verb"\newcommand" and \verb"\renewcommand" commands, which do a
 little error checking for you.  In plain \TeX, you might use the
 command
@@ -1227,10 +1169,10 @@ but in \LaTeX, the preferred form is
 \begin{center}
 \verb"\newcommand{\tensor}{\otimes}"
 \end{center}
-The advantage of this is that \LaTeX\ will check to see if there
+The advantage of this is that \LaTeX{} will check to see if there
 already is a command with the name \verb"\tensor", and give you an
 error message if there is.  If you know that there is a previous
-definition of \verb"\tensor" but you {\em want\/} to override it,
+definition of \verb"\tensor" but you \emph{want} to override it,
 then you use the command
 \begin{center}
 \verb"\renewcommand{\tensor}{\otimes}"
@@ -1239,11 +1181,11 @@ then you use the command
 
 If you want to use macros with replaceable parameters, the
 \verb"newcommand" command allows this.  For the equivalent of the
-plain \TeX\ command
+plain \TeX{} command
 \begin{center}
 \verb"\def\pushout#1#2#3{#1\cup_{#2}#3}"
 \end{center}
-you use the \LaTeX\ command
+you use the \LaTeX{} command
 \begin{center}
 \verb"\newcommand{\pushout}[3]{#1\cup_{#2}#3}"
 \end{center}
@@ -1254,11 +1196,11 @@ parameters is enclosed in square brackets.
 
 %---------------------------------------------------------------------
 %---------------------------------------------------------------------
-\section{Lists: {\tt itemize, enumerate, and description}}
+\section{Lists: \texttt{itemize, enumerate, and description}}
 
-There are three list making environments: {\tt itemize},
-{\tt enumerate}, and {\tt description}.  The {\tt itemize}
-environment just lists the items with a marker in front of each one.
+There are three list making environments: \texttt{itemize},
+\texttt{enumerate}, and \texttt{description}.  The \texttt{itemize}
+environment just lists the items with a marker in front of each one. 
 If you type
 %
 \begin{verbatim}
@@ -1287,7 +1229,7 @@ This is the last item.
 
 
 
-The {\tt enumerate} environment looks the same, except that the items
+The \texttt{enumerate} environment looks the same, except that the items
 in the list are numbered.  If you type
 \begin{verbatim}
 \begin{enumerate}
@@ -1311,20 +1253,20 @@ This is the second item in the list, which is a bit shorter.
 This is the last item.
 \end{enumerate}
 
-The {\tt description} environment requires an extra argument for each
+The \texttt{description} environment requires an extra argument for each
 \verb"\item" command, which will be printed at the beginning of the
 item.  If you type
 \begin{verbatim}
 \begin{description}
 \item[sedge]
-A green plant, found in both wetlands and uplands.  Sedges are often
-confused with grasses and rushes.
+A green plant, found in both wetlands and uplands.
+Sedges are often confused with grasses and rushes.
 \item[grass]
-A green plant, found in both wetlands and uplands.  Grasses are often
-confused with sedges and rushes.
+A green plant, found in both wetlands and uplands.
+Grasses are often confused with sedges and rushes.
 \item[rush]
-A green plant, found in both wetlands and uplands.  Rushes are often
-confused with sedges and grasses
+A green plant, found in both wetlands and uplands.
+Rushes are often confused with sedges and grasses
 \end{description}
 \end{verbatim}
 you'll get
@@ -1349,8 +1291,8 @@ numbers its items accordingly.  If you type
 \item I went to the dry cleaners.
 \item I went to the supermarket.  I bought
 \begin{enumerate}
-\item Bread.
-\item Cheese.
+\item Bread,
+\item cheese, and
 \item Tabasco sauce.
 \end{enumerate}
 \item I went to the bank.
@@ -1363,8 +1305,8 @@ you'll get
 \item I went to the dry cleaners.
 \item I went to the supermarket.  I bought
 \begin{enumerate}
-\item Bread.
-\item Cheese.
+\item Bread,
+\item cheese, and
 \item Tabasco sauce.
 \end{enumerate}
 \item I went to the bank.
@@ -1382,15 +1324,15 @@ you'll get
 \section{The bibliography}
 \label{sec:bibliography}
 
-\subsection{{\tt begin\{thebibliography\}} and {\tt
-end\{thebibliography\}}}
+\subsection{\texttt{begin\{thebibliography\}} and 
+  \texttt{end\{thebibliography\}}}
 
 
 The bibliography is begun with the command
 \begin{center}
 \verb"\begin{thebibliography}{number}"
 \end{center}
-where {\em number\/} is a random number that, when printed, is as
+where \emph{number} is a random number that, when printed, is as
 wide as the widest number of any item in the bibliography.  (The only
 use made of \verb"number" is that \LaTeX{} assumes that the numbers
 that it will assign to the actual items in the bibliography will be
@@ -1413,9 +1355,9 @@ entry
 %
 \begin{verbatim}
 \bibitem{yellowmonster}
-A. K. Bousfield and D. M. Kan, {\em Homotopy Limits, Completions and
-Localizations,} Lecture Notes in Mathematics number 304,
-Springer-Verlag, New York, 1972.
+A. K. Bousfield and D. M. Kan, \emph{Homotopy Limits,
+Completions and Localizations,} Lecture Notes in
+Mathematics number 304, Springer-Verlag, New York, 1972.
 \end{verbatim}
 
 
@@ -1455,44 +1397,48 @@ The following is the text of the file \verb"template.tex".
 \begin{verbatim}
 %%% template.tex
 %%% This is a template for making up an AMS-LaTeX file
-%%% Version of December 16, 1992
-%%%------------------------------------------------------------------
-%%% The following documentstyle command chooses 12 point type (instead
-%%% of the default 10 point), allows us to use the commutative
-%%% diagram macros, and defines the standard names for all of the
-%%% special symbols in the AMSfonts package:
-\documentstyle[12pt,amscd,amssymb]{amsart}
-
+%%% Version of August 10, 2000
+%%%---------------------------------------------------------
+%%% The following commands choose 12 point type (instead
+%%% of the default 10 point), allow us to use the
+%%% commutative diagram macros, and define the standard
+%%% names for all of the special symbols in the AMSfonts
+%%% package:
+\documentclass[12pt]{amsart}
+\usepackage{amscd}
+\usepackage{amssymb}
 
 
 
 
 
-%%% This part of the file (after the documentstyle command, but before
-%%% the \begin{document}) is called the ``preamble''.  This is a good
-%%% place to  put our macro definitions.
+%%% This part of the file (after the \documentclass command,
+%%% but before the \begin{document}) is called the ``preamble''.
+%%% This is a good place to  put our macro definitions.
 
 \newcommand{\tensor}{\otimes}
 \newcommand{\homotopic}{\simeq}
 \newcommand{\homeq}{\cong}
 \newcommand{\iso}{\approx}
-\newcommand{\ho}{\operatorname{Ho}}
 
-% Homotopy direct limit:
-\newcommand{\hodlim}{\underrightarrow
-{\operatorname{\mathstrut holim}}}
+\DeclareMathOperator{\ho}{Ho}
+\DeclareMathOperator*{\colim}{colim}
 
-% Homotopy inverse limit:
-\newcommand{\hoilim}{\underleftarrow
-{\operatorname{\mathstrut holim}}}
 
 
+\newcommand{\R}{\mathbb{R}}
+\newcommand{\C}{\mathbb{C}}
+\newcommand{\Z}{\mathbb{Z}}
 
+\newcommand{\M}{\mathcal{M}}
+\newcommand{\W}{\mathcal{W}}
 
 
-\newcommand{\C}{{\cal C}}
-\newcommand{\M}{{\cal M}}
-\newcommand{\W}{{\cal W}}
+
+\newcommand{\itilde}{\tilde{\imath}}
+\newcommand{\jtilde}{\tilde{\jmath}}
+\newcommand{\ihat}{\hat{\imath}}
+\newcommand{\jhat}{\hat{\jmath}}
 
 
 
@@ -1502,108 +1448,93 @@ The following is the text of the file \verb"template.tex".
 %%%
 %%%
 %%% The following commands set it up so that:
-%%%
+%%% 
 %%% All Theorems, Corollaries, Lemmas, Propositions, Definitions,
-%%% Remarks, and Examples will be numbered in a single sequence, and
-%%% the numbering will be within each section.
-%%%
-%%% Anything called `bigthm' in the TeXfile will be printed as
-%%% Theorem, but will be numbered in a separate sequence, named
-%%% Theorem A, Theorem B, Theorem C, etc.
-%%%
-%%%
-%%% Notations and Terminologies will not be numbered.
-%%%
+%%% Remarks, Examples, Notations, and Terminologies  will be numbered
+%%% in a single sequence, and the numbering will be within each
+%%% section.  Displayed equations will be numbered in the same
+%%% sequence. 
+%%% 
+%%% 
 %%% Theorems, Propositions, Lemmas, and Corollaries will have the most
 %%% formal typesetting.
-%%%
+%%% 
 %%% Definitions will have the next level of formality.
-%%%
+%%% 
 %%% Remarks, Examples, Notations, and Terminologies will be the least
 %%% formal.
-%%%
+%%% 
 %%% Theorem:
 %%% \begin{thm}
-%%%
+%%% 
 %%% \end{thm}
-%%%
-%%% Theorem: (Numbered separately, as Theorem A, etc.)
-%%% \begin{bigthm}
-%%%
-%%% \end{bigthm}
-%%%
+%%% 
 %%% Corollary:
 %%% \begin{cor}
-%%%
+%%% 
 %%% \end{cor}
-%%%
+%%% 
 %%% Lemma:
 %%% \begin{lem}
-%%%
+%%% 
 %%% \end{lem}
-%%%
+%%% 
 %%% Proposition:
 %%% \begin{prop}
-%%%
+%%% 
 %%% \end{prop}
-%%%
+%%% 
 %%% Definition:
 %%% \begin{defn}
-%%%
+%%% 
 %%% \end{defn}
-%%%
+%%% 
 %%% Remark:
 %%% \begin{rem}
-%%%
+%%% 
 %%% \end{rem}
-%%%
+%%% 
 %%% Example:
 %%% \begin{ex}
-%%%
+%%% 
 %%% \end{ex}
-%%%
+%%% 
 %%% Notation:
 %%% \begin{notation}
-%%%
+%%% 
 %%% \end{notation}
-%%%
+%%% 
 %%% Terminology:
 %%% \begin{terminology}
-%%%
+%%% 
 %%% \end{terminology}
-%%%
+%%% 
 %%%       Theorem environments
 
-\theoremstyle{plain}   %% This is the default, anyway
-\begingroup % Confine the \theorembodyfont command
-\theorembodyfont{\sl}
-\newtheorem{bigthm}{Theorem}   % Numbered separately, as A, B, etc.
-\newtheorem{thm}{Theorem}[section]   % Numbered within each section
-\newtheorem{cor}[thm]{Corollary}     % Numbered along with thm
-\newtheorem{lem}[thm]{Lemma}         % Numbered along with thm
-\newtheorem{prop}[thm]{Proposition}  % Numbered along with thm
-\endgroup
+% The following causes equations to be numbered within sections
+\numberwithin{equation}{section}
 
-%%% We need to do the following outside of any group,
-%%% since it's not \global:
-\renewcommand{\thebigthm}{\Alph{bigthm}}  % Number as "Theorem A."
+% We'll use the equation counter for all our theorem environments, so
+% that everything will be numbered in the same sequence.
+
+%       Theorem environments
+
+\theoremstyle{plain} %% This is the default, anyway
+\newtheorem{thm}[equation]{Theorem}
+\newtheorem{cor}[equation]{Corollary}
+\newtheorem{lem}[equation]{Lemma}
+\newtheorem{prop}[equation]{Proposition}
 
 
 \theoremstyle{definition}
-\newtheorem{defn}[thm]{Definition}   % Numbered along with thm
+\newtheorem{defn}[equation]{Definition}
 
 \theoremstyle{remark}
-\newtheorem{rem}[thm]{Remark}        % Numbered along with thm
-\newtheorem{ex}[thm]{Example}        % Numbered along with thm
-\newtheorem{notation}{Notation}
-\renewcommand{\thenotation}{}  % to make the notation
-                               % environment unnumbered
-\newtheorem{terminology}{Terminology}
-\renewcommand{\theterminology}{}  % to make the terminology
-                                  % environment unnumbered
-%%%-------------------------------------------------------------------
-%%% The following causes equations to be numbered within sections:
-\numberwithin{equation}{section}
+\newtheorem{rem}[equation]{Remark}
+\newtheorem{ex}[equation]{Example}
+\newtheorem{notation}[equation]{Notation}
+\newtheorem{terminology}[equation]{Terminology}
+
 
 %%%-------------------------------------------------------------------
 %%%-------------------------------------------------------------------
@@ -1622,14 +1553,19 @@ The following is the text of the file \verb"template.tex".
 \title
 
 
+
+
 \author{}
 
+
+
 %%% In the address, show linebreaks with double backslashes:
 \address{}
 
-%%% Email address is optional.  If you include it, use a double at
-%%% sign "@@" to produce a single at sign in the printed copy, e.g.,
-%%% \email{nsteenrod@@math.princeton.edu}
+
+
+
+%%% Email address is optional.
 \email{}
 
 %%% To have the current date inserted, use \date{\today}:
@@ -1674,14 +1610,14 @@ The following is the text of the file \verb"template.tex".
 
 
 %%% The format of bibliography items is as in the following examples:
-%%%
+%%% 
 %%% \bibitem{yellowmonster}
-%%% A. K. Bousfield and D. M. Kan, {\em Homotopy Limits, Completions
+%%% A. K. Bousfield and D. M. Kan, \emph{Homotopy Limits, Completions
 %%% and Localizations,} Lecture Notes in Mathematics number 304,
 %%% Springer-Verlag, New York, 1972.
-%%%
+%%% 
 %%% \bibitem{HA}
-%%% D. G. Quillen, {\em Homotopical Algebra,} Lecture Notes in
+%%% D. G. Quillen, \emph{Homotopical Algebra,} Lecture Notes in
 %%% Mathematics number 43, Springer-Verlag, Berlin, 1967.
 
 
@@ -1711,36 +1647,43 @@ The following is the text of the file \verb"template.tex".
 \begin{thebibliography}{10}
 
 
-\bibitem{amslatexusersguide}
-{\em \AmS-\LaTeX\ Version 1.1 User's Guide}, American Mathematical
-Society, August, 1991.
+\bibitem{amslatexusersguide} 
+  American Mathematical Society, \emph{\AmS-\LaTeX{} Version 1.2 User's
+    Guide,} November, 1996.  This is the file \texttt{amsldoc.dvi},
+  available from the AMS ftp site \texttt{e-math.ams.org}.
 
-\bibitem{testart.tex}
-{\em \AmS-\LaTeX{} Sample paper for the `AMSTEX' option and the
-`AMSART' documentstyle}, filename: {\tt testart.tex}, Distributed
-with the \AmS-\LaTeX\ User's Guide, American Mathematical Society,
-1991.
+\bibitem{instr-l} 
+  American Mathematical Society, \emph{Instructions for preparation of
+    papers and monographs: \AmS-\LaTeX,} November, 1966.  This is the
+  file \texttt{instr-l.dvi}, available from the AMS ftp site
+  \texttt{e-math.ams.org}.
+
+\bibitem{testmath}
+  American Mathematical Society, \emph{Sample paper for the amsmath
+    package,} November, 1996.  This is the file \texttt{testmath.tex},
+  available from the AMS ftp site \texttt{e-math.ams.org}.
 
 \bibitem{latex}
-Leslie Lamport,
-{\em \LaTeX{} User's Guide and Reference Manual}, Addison-Wesley,
-1986.
+  Leslie Lamport, \emph{\LaTeX{} User's Guide and Reference Manual,}
+  Addison-Wesley, 1986.
 
-\bibitem{essential}
-Jon Warbrick, {\em Essential \LaTeX}, 1989.  Available by ftp from
-many \TeX{} archives.  To receive a copy by email, send an email
-message to \verb"fileserv@shsu.edu" containing the single line
-\verb"sendme essential", and a computer will respond.
+\bibitem{NotShort} 
+  Tobias Oetiker, Hubert Partl, Irene Hyna, and Elisabeth Schlegl
+  \emph{The not so short introduction to \LaTeXe}, available by ftp
+  from CTAN (the Comprehensive \TeX{} archive network), at
+  \verb"ftp.tex.ac.uk", \verb"ftp.dante.de", and many mirrors, under
+  the name \verb"lshort2e.tex" or \verb"lshort2e.dvi".
 
 \bibitem{yellowmonster}
-A. K. Bousfield and D. M. Kan, {\em Homotopy Limits, Completions
-and Localizations,} Lecture Notes in Mathematics number 304,
-Springer-Verlag, New York, 1972.
+  A. K. Bousfield and D. M. Kan, \emph{Homotopy Limits, Completions
+    and Localizations,} Lecture Notes in Mathematics number 304,
+  Springer-Verlag, New York, 1972.
 
 \bibitem{HA}
-D. G. Quillen, {\em Homotopical Algebra,} Lecture Notes in
-Mathematics number 43, Springer-Verlag, Berlin, 1967.
+  D. G. Quillen, \emph{Homotopical Algebra,} Lecture Notes in
+  Mathematics number 43, Springer-Verlag, Berlin, 1967.
 
 
 \end{thebibliography}
 \end{document}
+
diff --git a/Master/texmf-doc/doc/english/amslatex-primer/template.tex b/Master/texmf-doc/doc/english/amslatex-primer/template.tex
index dcf9f69fce5..f536a095bb5 100644
--- a/Master/texmf-doc/doc/english/amslatex-primer/template.tex
+++ b/Master/texmf-doc/doc/english/amslatex-primer/template.tex
@@ -1,43 +1,47 @@
 %%% template.tex
 %%% This is a template for making up an AMS-LaTeX file
-%%% Version of December 16, 1992
-%%%------------------------------------------------------------------
-%%% The following documentstyle command chooses 12 point type (instead
-%%% of the default 10 point), allows us to use the commutative
-%%% diagram macros, and defines the standard names for all of the
-%%% special symbols in the AMSfonts package:
-\documentstyle[12pt,amscd,amssymb]{amsart}
+%%% Version of August 10, 2000
+%%%---------------------------------------------------------
+%%% The following commands choose 12 point type (instead
+%%% of the default 10 point), allow us to use the
+%%% commutative diagram macros, and define the standard
+%%% names for all of the special symbols in the AMSfonts
+%%% package:
+\documentclass[12pt]{amsart}
+\usepackage{amscd}
+\usepackage{amssymb}
 
 
 
 
 
-
-%%% This part of the file (after the documentstyle command, but before
-%%% the \begin{document}) is called the ``preamble''.  This is a good
-%%% place to  put our macro definitions.
+%%% This part of the file (after the \documentclass command,
+%%% but before the \begin{document}) is called the ``preamble''.
+%%% This is a good place to  put our macro definitions.
 
 \newcommand{\tensor}{\otimes}
 \newcommand{\homotopic}{\simeq}
 \newcommand{\homeq}{\cong}
 \newcommand{\iso}{\approx}
-\newcommand{\ho}{\operatorname{Ho}}
 
-% Homotopy direct limit:
-\newcommand{\hodlim}{\underrightarrow
-{\operatorname{\mathstrut holim}}}
+\DeclareMathOperator{\ho}{Ho}
+\DeclareMathOperator*{\colim}{colim}
+
 
-% Homotopy inverse limit:
-\newcommand{\hoilim}{\underleftarrow
-{\operatorname{\mathstrut holim}}}
 
+\newcommand{\R}{\mathbb{R}}
+\newcommand{\C}{\mathbb{C}}
+\newcommand{\Z}{\mathbb{Z}}
 
+\newcommand{\M}{\mathcal{M}}
+\newcommand{\W}{\mathcal{W}}
 
 
 
-\newcommand{\C}{{\cal C}}
-\newcommand{\M}{{\cal M}}
-\newcommand{\W}{{\cal W}}
+\newcommand{\itilde}{\tilde{\imath}}
+\newcommand{\jtilde}{\tilde{\jmath}}
+\newcommand{\ihat}{\hat{\imath}}
+\newcommand{\jhat}{\hat{\jmath}}
 
 
 
@@ -47,108 +51,93 @@
 %%%
 %%%
 %%% The following commands set it up so that:
-%%%
+%%% 
 %%% All Theorems, Corollaries, Lemmas, Propositions, Definitions,
-%%% Remarks, and Examples will be numbered in a single sequence, and
-%%% the numbering will be within each section.
-%%%
-%%% Anything called `bigthm' in the TeXfile will be printed as
-%%% Theorem, but will be numbered in a separate sequence, named
-%%% Theorem A, Theorem B, Theorem C, etc.
-%%%
-%%%
-%%% Notations and Terminologies will not be numbered.
-%%%
+%%% Remarks, Examples, Notations, and Terminologies  will be numbered
+%%% in a single sequence, and the numbering will be within each
+%%% section.  Displayed equations will be numbered in the same
+%%% sequence. 
+%%% 
+%%% 
 %%% Theorems, Propositions, Lemmas, and Corollaries will have the most
 %%% formal typesetting.
-%%%
+%%% 
 %%% Definitions will have the next level of formality.
-%%%
+%%% 
 %%% Remarks, Examples, Notations, and Terminologies will be the least
 %%% formal.
-%%%
+%%% 
 %%% Theorem:
 %%% \begin{thm}
-%%%
+%%% 
 %%% \end{thm}
-%%%
-%%% Theorem: (Numbered separately, as Theorem A, etc.)
-%%% \begin{bigthm}
-%%%
-%%% \end{bigthm}
-%%%
+%%% 
 %%% Corollary:
 %%% \begin{cor}
-%%%
+%%% 
 %%% \end{cor}
-%%%
+%%% 
 %%% Lemma:
 %%% \begin{lem}
-%%%
+%%% 
 %%% \end{lem}
-%%%
+%%% 
 %%% Proposition:
 %%% \begin{prop}
-%%%
+%%% 
 %%% \end{prop}
-%%%
+%%% 
 %%% Definition:
 %%% \begin{defn}
-%%%
+%%% 
 %%% \end{defn}
-%%%
+%%% 
 %%% Remark:
 %%% \begin{rem}
-%%%
+%%% 
 %%% \end{rem}
-%%%
+%%% 
 %%% Example:
 %%% \begin{ex}
-%%%
+%%% 
 %%% \end{ex}
-%%%
+%%% 
 %%% Notation:
 %%% \begin{notation}
-%%%
+%%% 
 %%% \end{notation}
-%%%
+%%% 
 %%% Terminology:
 %%% \begin{terminology}
-%%%
+%%% 
 %%% \end{terminology}
-%%%
+%%% 
 %%%       Theorem environments
 
-\theoremstyle{plain}   %% This is the default, anyway
-\begingroup % Confine the \theorembodyfont command
-\theorembodyfont{\sl}
-\newtheorem{bigthm}{Theorem}   % Numbered separately, as A, B, etc.
-\newtheorem{thm}{Theorem}[section]   % Numbered within each section
-\newtheorem{cor}[thm]{Corollary}     % Numbered along with thm
-\newtheorem{lem}[thm]{Lemma}         % Numbered along with thm
-\newtheorem{prop}[thm]{Proposition}  % Numbered along with thm
-\endgroup
+% The following causes equations to be numbered within sections
+\numberwithin{equation}{section}
+
+% We'll use the equation counter for all our theorem environments, so
+% that everything will be numbered in the same sequence.
 
-%%% We need to do the following outside of any group,
-%%% since it's not \global:
-\renewcommand{\thebigthm}{\Alph{bigthm}}  % Number as "Theorem A."
+%       Theorem environments
+
+\theoremstyle{plain} %% This is the default, anyway
+\newtheorem{thm}[equation]{Theorem}
+\newtheorem{cor}[equation]{Corollary}
+\newtheorem{lem}[equation]{Lemma}
+\newtheorem{prop}[equation]{Proposition}
 
 
 \theoremstyle{definition}
-\newtheorem{defn}[thm]{Definition}   % Numbered along with thm
+\newtheorem{defn}[equation]{Definition}
 
 \theoremstyle{remark}
-\newtheorem{rem}[thm]{Remark}        % Numbered along with thm
-\newtheorem{ex}[thm]{Example}        % Numbered along with thm
-\newtheorem{notation}{Notation}
-\renewcommand{\thenotation}{}  % to make the notation
-                               % environment unnumbered
-\newtheorem{terminology}{Terminology}
-\renewcommand{\theterminology}{}  % to make the terminology
-                                  % environment unnumbered
-%%%-------------------------------------------------------------------
-%%% The following causes equations to be numbered within sections:
-\numberwithin{equation}{section}
+\newtheorem{rem}[equation]{Remark}
+\newtheorem{ex}[equation]{Example}
+\newtheorem{notation}[equation]{Notation}
+\newtheorem{terminology}[equation]{Terminology}
+
 
 %%%-------------------------------------------------------------------
 %%%-------------------------------------------------------------------
@@ -167,14 +156,19 @@
 \title
 
 
+
+
 \author{}
 
+
+
 %%% In the address, show linebreaks with double backslashes:
 \address{}
 
-%%% Email address is optional.  If you include it, use a double at
-%%% sign "@@" to produce a single at sign in the printed copy, e.g.,
-%%% \email{nsteenrod@@math.princeton.edu}
+
+
+
+%%% Email address is optional.
 \email{}
 
 %%% To have the current date inserted, use \date{\today}:
@@ -219,14 +213,14 @@
 
 
 %%% The format of bibliography items is as in the following examples:
-%%%
+%%% 
 %%% \bibitem{yellowmonster}
-%%% A. K. Bousfield and D. M. Kan, {\em Homotopy Limits, Completions
+%%% A. K. Bousfield and D. M. Kan, \emph{Homotopy Limits, Completions
 %%% and Localizations,} Lecture Notes in Mathematics number 304,
 %%% Springer-Verlag, New York, 1972.
-%%%
+%%% 
 %%% \bibitem{HA}
-%%% D. G. Quillen, {\em Homotopical Algebra,} Lecture Notes in
+%%% D. G. Quillen, \emph{Homotopical Algebra,} Lecture Notes in
 %%% Mathematics number 43, Springer-Verlag, Berlin, 1967.