%% @texfile{
%%     filename="amsl-gid.tex",
%%     version="1.1",
%%     date="1-JUL-1991",
%%     filetype="AMS-LaTeX: documentation",
%%     copyright="Copyright (C) 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.",
%%     author="American Mathematical Society",
%%     address="American Mathematical Society,
%%            Technical Support Group,
%%            P. O. Box 6248,
%%            Providence, RI 02940,
%%            USA",
%%     telephone="401-455-4080 or (in the USA) 800-321-4AMS",
%%     email="Internet: Tech-Support@Math.AMS.com",
%%     codetable="ISO/ASCII",
%%     checksumtype="line count",
%%     checksum="1381",
%%     keywords="amslatex, ams-latex, tex",
%%     abstract="This file is the source for the manual
%%            Guidelines for Preparing Electronic Manuscripts
%%            for AMS-LaTeX users."
%%     }
%% *********************************************************
%%
%%  TeXing this file requires the following files and fonts:
%%      AMSLATEX.TEX (version 1.1)
%%      AMSART.STY (version 1.1)
%%      AMSART10.STY (version 1.1) (loaded by AMSART.STY)
%%      AMSTEX.STY (version 1.1) (loaded by AMSART.STY)
%%      AMSTEXT.STY (version 1.1) (loaded by AMSTEX.STY)
%%      AMSFONTS.STY (version 1.1) (loaded by AMSTEX.STY)
%%      AMSBSY.STY (version 1.1) (loaded by AMSTEX.STY)
%%      MARGID.STY (version 1.0b) (loaded by AMSART.STY)
%%      THEOREM.STY (version 2.1b) (loaded by AMSART.STY)
%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


\documentstyle{amsart}

\hyphenation{man-u-script man-u-scripts over-view pre-par-ing which-ever}

%%  Define macros for text substitution and for presentation of examples
\newcommand{\AMS}{American Mathematical Society}
\def\BibTeX{{\rm B\kern-.05em{\sc i\kern-.025emb}\kern-.08em\TeX}}
\newcommand{\GL}{{\it Guidelines}}
\newcommand{\JAMS}{{\it Journal of the \AMS}}
\newcommand{\JoT}{{\it The Joy of \TeX}}
%%  \LaTeX is already defined, but it does not work properly in sizes
%%  other than ten point.
\makeatletter
\def\La{\leavevmode L\raise.42ex
    \hbox{\kern-.3em\size{\sf@size}{0pt}\selectfont A}}
\def\LaTeX{\protect\La\kern-.15em\TeX}
%  \AmS was not defined in AMS-LaTeX 1.0, so we add the 1.1 definition here
%  so this file can be run under both 1.0 and 1.1.
\def\AmS{{\protect\the\textfont\tw@
  A\kern-.1667em\lower.5ex\hbox{M}\kern-.125emS}}
%% To get a small italic `A' in an italic LaTeX logo
\new@fontshape{cmr}{m}{it}{%
      <5>cmti7 at5pt%
      <6>cmti7%   at6pt%
      <7>cmti7%
      <8>cmti8%
      <9>cmti9%
      <10>cmti10%
      <11>cmti10 at10.95pt%
      <12>cmti12%
      <14>cmti12 at14.4pt%
      <17>cmti12 at17.28pt%
      <20>cmti12 at20.74pt%
      <25>cmti12 at24.88pt%
      }{}
\makeatother
\newcommand{\AMSLaTeX}{\protect\AmS-\protect\LaTeX}


\newcommand{\filnam}[1]{\hbox{\tt\ignorespaces#1\unskip}}
\let\stynam=\filnam
\newcommand{\secref}[1]{{\bf #1}}
\newcommand{\req}{(required)}
\newcommand{\Cite}[1]{{\rm[#1]}}

%%  For this manual, add a section number to the references header, and
%%  include that section header in the contents list.
\makeatletter
\def\thebibliography#1{\section\refname
  \defaultfont\small\labelsep .5em\relax
  \list{\@arabic\c@enumi.}{\settowidth\labelwidth{#1.}%
  \leftmargin\labelwidth \advance\leftmargin\labelsep
  \usecounter{enumi}}%
  \sloppy \clubpenalty4000\relax \widowpenalty\clubpenalty
  \sfcode`\.\@m}
\makeatother

\newdimen\exindent
\exindent=3\parindent
%% Add a high penalty to discourage line breaks within an example
%% without absolutely prohibiting them.
{\obeylines
 \gdef^^M{\par\penalty9999}%
 \gdef\beginexample#1{\medskip\bgroup %
   \def\(##1){\hbox to 0pt{\hss\rm##1\hss}}%
   \def~{\char`\~}\def\\{\char`\\}%
   \tt\frenchspacing %
   \parindent=0pt#1\leftskip=\exindent\obeylines}
}%  end \obeylines
\def\endexample{\endgraf\egroup\medskip}
\newdimen\exboxwidth
\exboxwidth=3in
\def\exbox#1#2{\noindent \hangindent=\exboxwidth
  \leavevmode\llap{\null\rm#1\unskip\enspace}%
  \hbox to\exboxwidth{\tt\ignorespaces#2\hss}\rm\ignorespaces}

\newcommand\ttcs[1]{\leavevmode\hbox{\def\\{\char`\\}%
    \tt\\\ignorespaces#1\unskip}}
\newcommand\ttcsb[2]{\leavevmode
  \hbox{\def\\{\char`\\}%
    \tt\\begin\{\ignorespaces#1\unskip\}\ignorespaces#2\unskip}}
\newcommand\ttcse[1]{\leavevmode\hbox{\def\\{\char`\\}%
    \tt\\end\{\ignorespaces#1\unskip\}}}
\def\{{\char`\{\relax}
\def\}{\char`\}\relax}
%%  Provide a meta-command facility; provide an alternate escape
%%  character so it can be used within the verbatim environment.
\catcode`\|=0
\def\<#1>{{\rm$\langle$#1$\rangle$}}
\newcommand{\Dimen}{\<dimen>}
\newcommand{\tab}{{\sc tab}}

%% Normally an article starts with
%%
%%   \author[shortened form of author's name]{author's full name}
%%
%% These Guidelines have no author.  Since the even-numbered running heads
%% uses the author field, explicitly define a shortauthor field to get the 
%% running heads.
\makeatletter
\def\sh@rtauthor{AMS-\LaTeX{} ELECTRONIC MANUSCRIPTS}
\makeatother

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{document}

\title [\AMSLaTeX{} ELECTRONIC MANUSCRIPTS]
   {Guidelines for Preparing Electronic Manuscripts\\*[\baselineskip]
   \AMSLaTeX}

\maketitle

\begin{abstract}
  The \AMS{} accepts manuscripts in electronic form that have been
  prepared using certain macro packages compatible with the \TeX{}
  typesetting system.
  This document contains guidelines for preparation and submission to AMS
  of electronic manuscripts prepared with \AMSLaTeX{} Version~1.1, and
  presents to potential authors of such manuscripts other information that
  should be useful in preparing manuscripts for composition by \LaTeX.
\end{abstract}

\tableofcontents

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\section{Introduction}

The purpose of these \GL\/ is to explain to authors the details of
electronic manuscript preparation and submission to the AMS and the
handling of these papers once they reach the AMS\@.  It is assumed that
the reader is familiar with \AMSLaTeX{} and has access to the items
listed in 
the \secref{References} section, especially \JoT\/ \cite{Joy}
and {\it \AMSLaTeX{} Version \rom{1.1} User's Guide} \cite{ALG}\@.
Both these \GL\/ and the accompanying examples have been created to
help avoid problems before they occur and minimize extra work for all
involved in the production of the paper.

Instructions for using specific macros will be given in appropriate
sections of these \GL.  Examples of macro use (input and output) can be
found in the sample papers that accompany these \GL.

The AMS book series that are published from author-prepared copy may
have additional requirements, which are not included here.
For specific instructions on preparing an \AMSLaTeX{} manuscript for
such a series, send an inquiry to the address given in
the \secref{How to submit a file} section.


\subsection{Classes of manuscripts covered}
%%
These \GL{} include instructions for preparing both articles and monographs.
An article may be intended either for a journal or for a collection such
as the proceedings of a conference; where the requirements differ, the
differences are explained.  A separate section is devoted to monographs,
which differ substantially from articles in their requirements.
These \GL\/ do not include instructions for preparation of electronic
manuscripts for submission to either {\it Abstracts of Papers Presented to
the AMS\/} or {\it Mathematical Reviews}.  Instructions for {\it Abstracts\/}
can be requested from the Society's Publication Division; instructions for
{\it Mathematical Reviews\/} can be found on the reverse side of the
contents page of any MR issue.


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\section{General guidelines}

All manuscripts submitted to the AMS, whether in paper or electronic
form, should contain certain information.  When that
information is missing, extra time and effort are required to obtain it,
and this process may result in delays in publication.  The following
elements should be included with all manuscripts.
\begin{enumerate}
\item Identification of the series in which the work is to appear.
\item Title, including short form if necessary for running head.
\item Author name(s), including shortened form if necessary.
\item Address(es) of the author(s) where the research was performed,
   current address(es), and address(es) for electronic mail if available.
\item Subject classification(s) (primary and, if appropriate, secondary)
   according to the {\it Mathematical Reviews\/} Subject Classification.
\item Abstract (for a paper to be published in a journal).
\end{enumerate}
Detailed instructions are given later for the form to be used for
particular elements, and a checklist is provided to assist authors.

Some basic principles are important for effective handling of electronic
submissions in production.  Authors should keep these in mind when
preparing their files.
\begin{enumerate}
\item Use the \stynam{amsart} or \stynam{amsbook} style unless you have been
   provided with a specific alternative for a particular publication.
\item \AMSLaTeX{} contains tags to identify all the important features of
   mathematical papers and monographs; use them, not tags you define
   yourself.
\item Do not use explicit \LaTeX{} coding to control line and page breaks.
   Lines and pages will break differently in the published paper than they
   did in the file you submit.  This is because AMS publications are set
   in a font (Times Roman) that prints slightly larger and has a different
   appearance than the font available for general \TeX{} distribution
   (Computer Modern).  If \LaTeX{} coding were inserted by authors for page
   and line breaks, it would have to be removed for production.
   That work could offset any time saved by not having to keyboard the
   manuscript and errors could be introduced.
\item Macro definitions for frequently occurring phrases or mathematical
   expressions should appear together at the beginning of the file,
   before the start of the text of the manuscript.  Once a macro is
   created for an expression, it should be used for every occurrence of
   that expression.
\item Do not redefine any plain \TeX{}, \AmSTeX{}, \LaTeX{}, or
   \AMSLaTeX{} control sequences.
\item Every file should be able to be processed independently; do not
   use ``input'' files, but instead include the contents of any such
   files in the main source file.
\item Use \TeX{} coding for special fonts (e.g., boldface or italic)
   only within the text of the manuscript; do not use such coding for
   any headings.
\item Proofread your manuscript thoroughly and carefully.
\end{enumerate}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\section{Top matter}

The top matter associated with a paper includes everything that would
appear in a bibliographic reference to the paper, plus additional
information about the author(s), subject classifications, key words,
and acknowledgments of support.  These elements should be supplied by
the author; they will be augmented during production by such things as
date received, the publication logo, the copyright notice, and starting
page number.  These instructions describe only the elements to be
provided by the author.


\subsection{Summary of tags and elements}
%%
The list below includes all the top matter tags associated with the
\stynam{amsart} style defined for \AMSLaTeX{} Version~1.1.  This style
was designed to be compatible with all AMS journals and collections of
papers, and the tags provided are a superset of those required for
papers in any of those publications.  Requirements for monographs are
somewhat different and are described later.

The style of the typeset output is controlled by the \stynam{amsart} style.
Every file must begin with the line \ttcs{documentstyle\{amsart\}}.
The contents of next section, the preamble, are described in
more detail following the list of top matter tags.

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{verbatim}
\documentstyle{amsart}
|medskip|<preamble commands, such as |ttcs{newcommand}, etc.>|medskip
\begin{document}
\title[...]{...}
\author[...]{...}
\address{...}
\curraddr{...}
\email{...}
\dedicatory{...}
\date{...}
\thanks{...}
\translator{...}
\keywords{...}
\subjclass{...}
\maketitle
\begin{abstract}...\end{abstract}
\end{verbatim}


\subsection{The preamble}
%%
The preamble is the area between the lines \ttcs{documentstyle} and
\ttcsb{document}{}.  If any new control sequences are
used in the paper, their definitions should be placed in the preamble.
Similarly, instructions to access fonts that are not already defined
in \AMSLaTeX{}, such as a new math alphabet (see \cite[p.\ 10]{ALG}),
belong here.  By placing these general instructions at the very
beginning of a paper, they will be available throughout the entire
paper.  In addition, this placement will also make it easier for the
production staff to find and check them for compatibility when the
paper is combined with others to produce the complete publication.

When defining new control sequences, always use \ttcs{newcommand}; this
will let you know if the name you have chosen has already been used.
Do not redefine any plain \TeX{}, \AmSTeX{}, \LaTeX{}, or \AMSLaTeX{}
command, as this could cause problems in AMS production.
New definitions may be used to provide shorthand forms for text or
mathematical expressions that are used frequently.  They should not
include any formatting commands.


\subsection{Title (required)}
%%
The title should always be entered in the standard AMS style, which is
{\bf caps and lowercase}.  Major words should begin with capital letters,
and lowercase should be used elsewhere.  This is true even if the
publication in which the paper appears has a style that requires all caps;
that form will be generated automatically when the paper is processed
at the AMS\@.  A multi-line title may be left for \TeX{} to break,
or a desired break may be indicated by the author with \ttcs{\\}.

Unless the title is very short, the author should provide a form of
the title suitable for use in running heads.  This should be entered
{\bf in all caps}
in [brackets] between the tag \ttcs{title} and the full title.


\subsection{Author information (required)}
%%
The name(s) of the author(s) should be entered in {\bf caps and lowercase}
using the tag \ttcs{author}.  Each author's name should be separately
tagged.  All caps will be provided automatically if that is the
publication style.  Author names should be listed in the order in which
they are to appear in print; the AMS convention is to list authors in
alphabetical order.

If the author name(s) cannot fit in the space available for the running
head, a shortened form should be entered for each name in [brackets]
between the tag \ttcs{author} and the full name.  Acceptable shortened
forms use initials for all but the surname(s).  If there are more than
two authors, the running heads must be specified explicitly:
\begin{verbatim}
\markboth{|<name of first author>, et al.}{|<short title>}
\end{verbatim}

For each author one or more addresses should be input.  The address
where the research was carried out should be tagged as
\ttcs{address\{...\}}.  The address should be divided by \verb+\\+
into segments that correspond to address lines for use on an envelope.
If the current address is different from the research address, the
current address should be given next, tagged as \ttcs{curraddr\{...\}}.
Following these addresses, an address for electronic mail should be
given, if one exists, with \ttcs{email\{...\}}.  Regular, current, and
e-mail addresses must be grouped in that order following the author to
which they refer.  At-signs in e-mail addresses must be input as
``{\tt@@@@}'', with the symbol doubled.

Note that no abbreviations are to be used in addresses.
(Examples are given in the sample article that accompanies these \GL.)
Addresses are considered part of the top matter, but in AMS
publications they are ordinarily printed at the end of the paper,
following the bibliography.  Suitable labels will indicate the current
and e-mail addresses, typically ``{\it Current address\/}:'' and
``{\it E-mail address\/}:'' respectively.

AMS style calls for the research address(es) to be set in 8-point caps
and small caps; however, the font \filnam{cmcsc8} does not come with
all standard \TeX{} distributions (it is part of the AMSFonts package).
For this reason, and to allow the \TeX{}ing and printing of this
documentation without requiring AMSFonts, the font specifications for
\AMSLaTeX{} may substitute \filnam{cmcsc10}.  In this case, the following
warning messages will appear in the transcript file:
\begin{verbatim}
Warning: Font/shape `cmr/m/sc' in size <8> not available .
Warning: Using external font `cmcsc10' instead .
\end{verbatim}
When the file is processed at AMS, the correct font will be supplied
automatically.


\subsection{Dedication}
%%
The tag \ttcs{dedicatory} is to be used for such things as
``Dedicated to Professor X on the occasion of his eightieth birthday.''
A dedication will appear in italics, before the abstract.  If this is
longer than one line, a break may be indicated by \ttcs{\\}.


\subsection{Acknowledgments of support and other first-page footnotes}
%%
\ttcs{thanks} is used for footnotes that appear on the first page.
Like \ttcs{address} and \ttcs{email}, \ttcs{thanks} should be given for
each author as appropriate.
Where multiple authors are supported under the same grant, the
acknowledgement should be listed for the first such author, and it
should be phrased so as to indicate clearly who is supported.  For
example, ``Research of the second and third authors was supported in
part by NSF grant~\dots''.

Papers published in proceedings of conferences are often abstracts or
preliminary versions.  In such a case, include a separate \ttcs{thanks}
with the statement ``The final [detailed] version of this paper will be
[has been] submitted for publication elsewhere.''  This statement should
follow the information for the last author.  Papers that are to be
considered for review by {\it Mathematical Reviews\/} should include the
statement: ``This paper is in final form and no version of it will be
submitted for publication elsewhere.''

As many \ttcs{thanks} statements may be included as necessary.  Each
will appear as a separate footnote at the bottom of the first page.


\subsection{Translator}
%%
This element is relevant only to translated papers, and should, if it
appears, be the name of the translator.  This information will ordinarily
be printed at the end of the paper, as ``Translated by'' followed by the
translator's name.


\subsection{Subject information (required)}
%%
Subject classifications and key words, like acknowledgments, are part
of the top matter and will appear as footnotes at the bottom of the
first page.  Subject classifications are {\bf required}.

Subject classifications may be primary (the major topic(s) of the paper)
or secondary (subject areas covered by ancillary results, motivation
or origin of problems discussed, intended or potential field of
application, or other significant aspects worthy of notice).  One
primary subject classification is required; additional primaries and
secondaries are optional.

These classifications are entered as
\begin{verbatim}
\subjclass{Primary |<primary classifications>;
 Secondary |<secondary classifications>}
\end{verbatim}
See the sample article that accompanies these \GL\/ for examples.

To determine the classifications, use the 1980 Mathematics Subject
Classification (1985 Revision) that appears in annual indexes of
{\it Mathematical Reviews\/} beginning in 1984.  (The two-digit code
from the Contents of MR is {\bf not} sufficient.)

Keywords are not required but may be provided by an author if desired.
They should be tagged as \ttcs{keywords\{...\}}.


\subsection{Abstract (required)}
%%
The abstract is input with \ttcsb{abstract}{...}\hskip0pt\ttcse{abstract}.
This must be placed immediately after \ttcs{maketitle}.
It may comprise multiple paragraphs and include displayed material if
appropriate.  The length of the abstract depends primarily on the
length of the paper itself and on the difficulty of summarizing the
material, but an upper limit of about 150 words for short papers and
300 words for long papers is suggested.

Though the styles of various publications may differ somewhat, the
style of \stynam{amsart} is typical.  The abstract will be set in
eight point type on a narrower measure than the body of the paper,
centered on the first page, with the label ``{\sc Abstract.}''\
provided automatically as the first word of the first paragraph.


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\section{Document body}

There are two essentially different types of documents that may appear
in AMS publications, individual papers (in journals or collections of
proceedings) and monographs.  This section contains descriptions of
those elements that are common to both types of documents.


\subsection{Headings}
%%
Five levels of headings are provided to permit logical sectioning of a
manuscript.  These headings are applicable to papers and within chapters
of a monograph.

\begin{verbatim}
\part[...]{...}
\section[...]{...}
\subsection[...]{...}
\subsubsection[...]{...}
\paragraph[...]{...}
\end{verbatim}

\ttcs{part} is for long articles that need extra divisions (e.g.,
chapters, parts) at a level above the \ttcs{section} level.  In the
\stynam{amsart} style \ttcs{part} uses boldface type and is set
flush to the left margin on a line by itself, beginning with ``Part''
and the (automatically-generated) part number.
\ttcs{section} is small caps, centered; \ttcs{subsection} is boldface,
flush to the left margin, and run in with the following text;
\ttcs{subsubsection} is italic, indented as for an ordinary paragraph,
and run into the text; and \ttcs{paragraph} is treated as an ordinary
paragraph preceded by a reference number.  The style shown in these
\GL\/ is that of the \stynam{amsart} style, which is based on the
style of the \JAMS; \ttcs{section} is the highest level used in this
document.

Explicit line breaks are obtained by \verb+\\+ in all section headings,
but its use is discouraged.

Any heading may be given a label to allow references to be made to it,
by including a \ttcs{label\{...\}} command with a unique identifier
directly after the heading.  References are made using the command
\ttcs{ref\{...\}} and the same identifier.  For example,
\begin{verbatim}
\section{Monograph formatting}
\label{s:mono}
\end{verbatim}
will establish a label for this section that can be referred to with
\ttcs{ref\{s:mono\}}, as in the next paragraph.
Cross references of this sort will require \LaTeX{} to be run at least
twice for proper resolution.  A warning at the end of the \LaTeX{} run,
``Cross references may have changed\dots''\ should be heeded in this
regard.

If you are preparing a monograph, there are some additional considerations
relevant to headings.
For details, see \secref{Monograph formatting}, section \ref{s:mono} below.


\subsection{Mathematical text}
%%
For instructions on preparing mathematical text, the author is referred to
the {\it \AMSLaTeX{} User's Guide\/} \cite{ALG}, \JoT\/ \cite{Joy} and
the sample article which accompanies these \GL.

Care should be taken to use math mode for {\it all\/} mathematical
expressions, no matter how short or insignificant.  For example, in the
phrase ``a group of class 2,'' the ``2'' should be treated as mathematical
text and placed between dollar signs: \verb+$2$+.  One reason for this is
that numerals are always roman in mathematical expressions, whereas in
ordinary text environments \TeX{} sets them in the style of the surrounding
text; see also the \secref{Roman type} section below.

The sample paper that accompanies these \GL\/ contains some mathematical
examples, intended to illustrate the recommended manner of input.  The
input file for the sample paper should be examined to clarify the details
of input conventions.


\subsection{Theorems, lemmas, and similar structures}
%%
Theorems and similar structures are treated as environments in \LaTeX.
Three different theorem styles are provided by \AMSLaTeX: \verb+plain+,
\verb+definition+, and \verb+remark+.  By referring to these styles and
using the \ttcs{newtheorem} command, an author can build a complement
of theorem environments appropriate for any paper or monograph.  The
use of these commands is described in the {\it \AMSLaTeX{} User's
Guide\/} \cite[pp.~32--33]{ALG}.  All \ttcs{newtheorem} specifications
should be included in the preamble.

The following list summarizes the types of structures which are
appropriate for use with each style.

\beginexample{\exboxwidth=1.05in}
\exbox{}{plain} Theorem, Lemma, Corollary, Proposition, Criterion,\newline %
  Algorithm, Condition
\exbox{}{definition} Definition, Conjecture, Problem, Example
\exbox{}{remark} Remark, Note, Notation, Claim, Summary,\newline %
  Acknowledgment, Case, Conclusion
\endexample

The default heading style for the \verb+plain+ and \verb+definition+ theorem
styles is \ttcs{section}.  These may be changed if the author creates a
\ttcs{newtheorem}.  For example, in the sample article and monograph which
accompany these \GL{}, theorem headings have been defined at the subsection
level, with the same counter used for theorems and lemmas, as follows:
\begin{verbatim}
\newtheorem{thm}{Theorem}[subsection]
\newtheorem{lem}[thm]{Lemma}
\end{verbatim}

The text of a theorem in the \verb+plain+ style will be set in italic
type; see the next section for guidelines on dealing with numbers and
punctuation within theorems.  The \verb+definition+ and \verb+remark+
styles will be in roman type.

A related environment \verb+pf+ is to be used for proofs.  This will
produce the heading ``Proof'' with appropriate spacing and punctuation.
An alternative form, \verb+pf*+, is provided for situations where
different heading text is desired.  This is input as

\beginexample
\\begin\{pf*\}\{\<heading text>\}
\endexample

A ``Q.E.D.'' symbol is automatically appended at the end of a proof
(see \cite[p.~34]{ALG} for details).  At present, this symbol will not
be on the last line if the proof ends with a display or another
environment (such as \verb+enumerate+); the sample monograph that
accompanies these \GL\/ includes an example of the latter using the
recommended method for getting around the problem.


\subsection{Roman type}
%%
Numbers, punctuation, (parentheses), [brackets], $\{$braces$\}$, and
symbols used as labels should always be set in roman type.  This is
true even within the statement of a theorem, which is set in italic
type by the \stynam{amsart} and \stynam{amsbook} styles.

Be careful to distinguish between roman elements that are mathematical
in nature (e.g., ``a group of class 2''), and those that are part of
the text (e.g., a label or a year).  Mathematical expressions should, as
usual, be enclosed within dollar signs \verb+$...$+; roman text elements
should be coded as \ttcs{rom\{...\}} in non-roman environments such
as theorems.

Abbreviated forms of mathematical terms are also usually set in roman
type, to distinguish them from mathematical variables or constants.
Use the control sequences for common mathematical functions and
operators like $\log$ and $\lim$ (see \cite[Chapter 14]{Joy}).

The style of reference citations, though publication dependent, is
usually roman, and never italic in theorems.
In order to ensure consistency, always use \ttcs{cite} when citing a
reference.  Additional information should be placed in [brackets] before
the main citation, as illustrated by the coding of the citation in the
previous paragraph:
\begin{verbatim}
\cite[Chapter 14]{Joy}
\end{verbatim}


\subsection{Figures, tables, and other inserts with captions}
%%
Figures, tables, and some other kinds of objects are usually handled as
inserts.  These objects may be prepared separately from the main document
and pasted in, in which case space must be left for them.  Sometimes,
however, a table or certain kind of figure (e.g.\ a commutative diagram)
can be prepared with \AMSLaTeX, but it may be so large that fitting it in at
the point of reference may cause problems with paging.  In either case, the
object should be specified as a floating insert, which can be repositioned
automatically as required for good pagination.  AMS guidelines provide that
such an object should follow as closely as possible its first reference
in text, if possible on the same page where it is mentioned.  When this
is not possible, a reference will be added, ``(See Figure $n$, page $m$.).''

An author should use the commands \ttcsb{figure}{[t]...}%
\hskip0pt\ttcse{figure}{} to
specify that an insert is to go at the top of a page.  If an insert
does not fit on the page where specified, \LaTeX{} will automatically
shift it to the top of the next page.
The final placement of inserts will be determined by the AMS editorial
staff, on the basis of the most appropriate page layout.

These floating objects usually have captions; a caption is usually
positioned above a table and below a figure.

This is the general structure used to specify a figure insert, with a
caption at the bottom.
\begin{verbatim}
\begin{figure}[t]
\vspace{|Dimen}|quad|rm or |quad|tt|<optional code for the insertion body>
\caption{|<caption text>}
\label{|<reference label>}|quad|rm (optional)|tt
\end{figure}
\end{verbatim}

The general structure for a table insert, with a caption at the top,
is the following.
\begin{verbatim}
\begin{table}[t]
\caption{|<caption text>}
\label{|<reference label>}|quad|rm (optional)|tt
\vspace{|Dimen}|quad|rm or |quad|tt|<optional code for the insertion body>
\end{table}
\end{verbatim}

The \ttcs{vspace\{\Dimen\}} option should be used to leave blank space
for an object to be pasted into place.
If a \Dimen{} is specified, its value should be the exact height of the
object to be pasted in.  Extra space around the object and the caption
are dependent on the document style and will be provided automatically.

Caption labels will be supplied automatically, set in caps and small caps.
The \<caption text> is any descriptive text that may be desired.  It will
be set in roman.  A reference label should usually be associated with
the caption; a reference in text to the figure or table would be of the
form \ttcs{ref\{\<reference label>\}}.

If you choose to include the \TeX{} or \LaTeX{} code for a figure, table, or
other captioned object in the input, then omit the \ttcs{vspace\{\Dimen\}}
line and type the code in the area indicated.  The size will be calculated
automatically and the caption set in the appropriate location above or
below the object.

Separate art work should be drawn in black ink with clean, unbroken
lines on nonabsorbent paper.  Labels should match those used in the text.
Authors' originals are used whenever possible in AMS journals; for
articles in a book series, art may be redrawn for consistency of style
throughout a volume.

The originals of photographs or computer-generated images should be sent
to the AMS as part of the art package.  For a color image (whether it
will be converted to a black and white image or appear in color), the
color negative or transparency is needed.  To avoid damage to photographic
images, do not use paper clips or staples, and do not tape them to a
sheet of paper.  A photocopy of such an image can be used to identify it.


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\section{Bibliographic references}

\subsection{Using \protect\BibTeX{} to prepare a bibliography}

An author may find it convenient to maintain a file of references in
\BibTeX{} form, as described in the \LaTeX{} manual \cite[Appendix B]{LM}.
Two \BibTeX{} styles are provided:
\begin{description}
\item [\filnam{amsplain.bst}] will produce numeric labels, and
\item [\filnam{amsalpha.bst}] will produce ``key''-type labels constructed
  from the author name(s) and year of publication.
\end{description}
Both will translate references in a \BibTeX{} input (\filnam{.bib}) file
to \TeX{} input in a \filnam{.bbl} file in the form appropriate for AMS
publications, including all necessary formatting instructions.  This
method of preparing bibliographies is therefore recommended.

To access a \BibTeX{} bibliography in a paper or monograph, include these
instructions in the appropriate place in the input file:
\begin{verbatim}
\bibliographystyle{|<style>}|qquad amsplain|quad|rm or|quad|tt amsalpha
\bibliography{|<name of bibliography |bgroup|tt.bib|egroup| file>}
\end{verbatim}

Running \BibTeX{} on the \filnam{.bib} file will produce a \filnam{.bbl}
file.  The \filnam{.bib} file may have any name the author finds convenient;
however, the \filnam{.bbl} file must have the same name as the source file
for a monograph from which it is input, so it may be necessary for the
author to rename it.  For an article, after the bibliography has been
completed (including processing by \BibTeX{}), the contents of the
\filnam{.bbl} file should be inserted into the main article input file,
replacing the \ttcs{bibliographystyle} and \ttcs{bibliography} statements.

Items in the bibliography are usually ordered alphabetically by author.
\BibTeX{} processing may alter this order, especially if the style
\filnam{amsalpha.bst} is used.

A sample \BibTeX{} input file, \filnam{amsl-bib.bib} appears as
Appendix~E.  This file has been used to prepare the bibliographies for
both the sample article and the sample monograph included with these
\GL.  As they are identical except for the order and the use of
``key''-type labels for the monograph and numeric labels for the article
bibliography, the input file for only the monograph bibliography
(\filnam{amsl-mon.bib}) is included in this documentation.

All categories of bibliographic entries listed in the \LaTeX{} manual
\cite[section B.2.1]{LM} are supported in the two \BibTeX{} styles.
In addition to the fields listed in section B.2.2, a \verb+language+
field is provided for use in identifying the original language of an
item whose title has been translated.
The use of the \verb+language+ field is illustrated in the first two
entries in the sample \BibTeX{} input file.

\subsection{Preparing a bibliography without \protect\BibTeX}

The references section of a paper begins with the command
\ttcsb{thebibliography}{\{\<model label>\}} and ends with
\ttcse{thebibliography}.  \ttcsb{thebibliography}{} sets the head for the
references, switches to eight-point type and sets the indentation for the
labels to a width appropriate for the model given in the second argument.
Thus the widest label in the bibliography should be used as the model;
for example, \verb+99+ will provide space for a 2-digit label.
\ttcse{thebibliography} restores the body style.  This is convenient in
documents where small bibliography listings are scattered throughout, as
in some survey papers.
(This style of bibliography has been used in these \GL.)


In a monograph, where the bibliography forms a separate chapter, the
command \ttcsb{thebibliography}{} will cause a new chapter to begin and
the appropriate formatting instructions to be installed.  See also the
\secref{Monograph formatting} section below.

The elements of a bibliographic reference should be given in the order
appropriate for the type of reference.  The sample bibliography should
be used as a model.


\subsubsection{All references}
%%
The beginning of each item must be indicated explicitly, with the
command \ttcs{bibitem\{\<bibitem label>\}}.  The \LaTeX{} default is
for references to be numbered (automatically); however, other labels
may be used by inserting an optional key argument in square brackets
between the command and the internal label:
\begin{verbatim}
\bibitem[ABC]{ABC}
\end{verbatim}
The item label and the key need not be identical.

All references cited as examples in the remainder of this section are
keyed to the bibliography of the sample monograph.  The details of
punctuation will not be described here, but an author should pay attention
to its use in the examples and follow the same style.

A reference should begin with the name(s) of the author(s) \req{} (see
\Cite{Art80}, \Cite{AVZG82}, et al.)\ or editor(s) (see \Cite{C$^+$80}).
Give at least one full name; initials and last name is an acceptable
form.  If a subsequent reference is by the same author(s), use
\ttcs{bysame} instead of the name(s) (see \Cite{AVGZ84}).
If the reference is to an edited collection, such as the proceedings of a
conference, insert ``(ed.)''\ or ``(eds.)''\ following the name(s) as
appropriate (see \Cite{C$^+$80}, \Cite{HM86}).

The title \req{} of the article or book should be enclosed in braces and
``emphasized'' (\ttcs{em}).  In a title the first word and any proper
names should begin with capital letters; everything else should be
lowercase.  (In a German title, all nouns should begin with capital
letters (see \Cite{Gab72}).)  If a title is followed by a part number, the
title proper should be terminated by a period, and the part number
coded as \ttcs{rom\{...\}} (see \Cite{LL83}, \Cite{Ost78}).


\subsubsection{Journal articles}
%%
The name of the journal \req{}, in abbreviated form, follows the title
(see \Cite{BCW82}, \Cite{Cooar}, et al.).  Refer to
{\it Abbreviations of Names of Serials Reviewed in Mathematical Reviews\/}
\cite{ASMR}, to annual indexes of {\it Mathematical Reviews\/}, or to
the American Standard for Periodical Title Abbreviations (National
Clearing House for Periodical Title Word Abbreviations, Columbus, Ohio,
1969) for standard journal abbreviations.  If the journal name is
modified by a series name, include that information following the name,
in parentheses (see \Cite{Slo58\rom{, translation journal information}}).

The volume number should usually be set in bold (see \Cite{BM85},
\Cite{Mar}, et al.).

The issue number, if present, should be preceded by ``no.''\ (see
\Cite{Mar}); this should be omitted except where to do so would result
in an ambiguous reference.

The year of publication \req{} is given in parentheses.  If the paper
has not yet appeared in print, \ttcs{toappear} should replace the year
(see \Cite{Cooar}).  For some journals, the volume number is the same
as the year of publication (see \Cite{Mar}); in such a case, it should
be given in bold, not enclosed in parentheses.

The next element is the page reference.  If a span is involved, use an
en-dash (typed as \verb+--+) to separate the page numbers (see \Cite{BCW82},
et al.).

If the article is in a language different from that of the title
(usually because the title has been translated), or it is not possible
to determine the language of the article from the title, include the
language information in parentheses (see \Cite{Mar}, \Cite{Slo58}).

Additional relevant information may be included if appropriate, at
the end of a reference.  In particular, information about a translation
follows the same style as the main reference (see \Cite{Slo58}, et al.)


\subsubsection{Books}
%%
Additional book information should be given following the title.
This may include edition (see \Cite{Art80}, \Cite{Spi90}),
identification of a conference and its location in the case of a
proceedings volume (see \Cite{C$^+$80}), etc.

The name of the publisher should be given in abbreviated form (see
\Cite{AVGZ82}, \Cite{C$^+$80}, et al.).  The publisher's address should
be given as the name of the city and state or the foreign city where
the book was published (see \Cite{Art80}, \Cite{For86}, et al.).

The year of publication follows the publisher information (see \Cite{Art80}).

Language information, if necessary, is included in parentheses following
the year (see \Cite{AVGZ82}).

Additional information may be included if appropriate (see \Cite{AVGZ84}).


\subsubsection{Articles in books}
%%
If the article is part of a collection, the article title should be
followed by information which identifies the collection as a whole.
This may be the title of a named collection (see \Cite{Osh86}),
identification of a volume of conference proceedings (see
\Cite{C$^+$80}), or a series title (see \Cite{For86}).  In this title,
all important words begin with capital letters.  If the book is the
proceedings of a conference, the location and date of the conference
should follow the title in parentheses (see \Cite{Lio60}).

For a named collection, the name(s) of the editor(s) should be given
in parentheses, with ``ed.''\ or ``eds.''\ following the name(s) as
appropriate (see \Cite{Osh86}).

Volume information for a book series should be given in the form
``vol.''\ followed by the volume number (see \Cite{For86}).

If a collection is published with a dedication, that information may
be given in parentheses following the main title and editorial information
for the collection (see \Cite{Ber70}).

Publisher name and address should be entered in the same manner as for
books (see \Cite{Ber70}, \Cite{For86}, \Cite{Meiar}).  This is followed
by the year of publication, using ``to appear'' if the collection has
not yet been published (see \Cite{Meiar}).

Page information follows the year of publication, preceded by
``p.''\ or ``pp.''\ as appropriate (see \Cite{For86}).  For a span of
pages, use an en-dash (\verb+--+) to separate them.

Language information, if necessary, follows the same style as for a
journal article (see \Cite{Ber70}).

Additional information, if necessary, should be treated in a manner
similar to that for a journal article or a book.


\subsubsection{Other types of references}
%%
Ph.D.\ theses are similar to books, but in place of publisher information,
the phrase ``Ph.D.\ thesis'' and the name of the institution granting
the degree should be given (see \Cite{Coo88}).


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\section{Monograph formatting}
\label{s:mono}

A monograph will usually consist of multiple chapters.  Several features
are available in the \stynam{amsbook} style that will set your output as a
chapter rather than as an individual paper.  For example, the positioning
of the title on the first page is different; also the text of a \ttcs{head}
in a monograph will be boldface instead of caps and small caps; headings
of theorems, propositions, definitions, remarks, etc., will be caps and
small caps instead of boldface, and indented rather than flush left.

For most AMS book series, authors can obtain style files with instructions
for the particular book from the Publications Department.  (Write to the
address given in
the \secref{Getting help} section.)

The second sample that accompanies these \GL{} illustrates the format of
a monograph prepared with the \stynam{amsbook} style.

When the \stynam{amsbook} style is used, each chapter should be prepared
as a separate file.  In addition, there will be a ``top-level'' file
(which inputs all the others) and perhaps a file containing the
bibliography.  These files should be given meaningful names, so that
when they are transmitted to the AMS, there will be no question about
which file represents which chapter.  For example, a monograph by author
Smith might be composed of files named \filnam{SMITH.TEX} (the top-level
file), \filnam{SMI-CH01.TEX}, \filnam{SMI-CH02.TEX}, \dots,
\filnam{SMI-CH12.TEX}, \filnam{SMI-APPA.TEX}, etc., and
\filnam{SMITH.BIB}.

Information that identifies the author(s), the subject matter of the
monograph, acknowledgments of support, and so forth, will appear in the
front matter of the book.  Place this information in the top-level file,
and use the tags shown below.  Most of these are the same as the tags
associated with the top matter of an article; see the \secref{Top
matter} section for explanations and an indication of which tags are
required.

\begin{verbatim}
\documentstyle{amsart}
|medskip|<preamble commands, such as |ttcs{newcommand}, etc.>|medskip
\begin{document}
\pagenumbering{roman}
\title[...]{...}
\author[...]{...}
\address{...}
\curraddr{...}
\email{...}
\dedicatory{...}
\date{...}
\thanks{...}
\translator{...}
\keywords{...}
\subjclass{...}
\maketitle
\begin{abstract}...\end{abstract}
\tableofcontents
\end{verbatim}


The table of contents will be produced automatically, from a
\filnam{.toc} file produced anew in each run of \AMSLaTeX{}.  Since
there is no \filnam{.toc} before the first run, \ttcs{tableofcontents}
will have no effect until the second and subsequent runs.  Then this
file will be read and used to generate the table of contents in the
style shown in the attached sample monograph.  Entries for all chapter
and section heads, through \ttcs{subsubsection}, will be included in the
\filnam{.toc} file.  If ``short forms'' of any of these heads are input
using the \verb+[...]+ notation, these will be used for the contents in
preference to the full text given in braces after the heading command.


\subsection{Chapter titles}
%%
There are three common variations of the chapter title, of which the form
with a chapter number is most common:
\begin{verbatim}
\chapter{Matrix Algebras}
\end{verbatim}
The value of the chapter counter will be converted automatically to
roman numerals and the word ``{\small CHAPTER}'' is added.

The second variation is an appendix, where the word ``Appendix''
replaces the word ``Chapter.''  Before the first appendix, input
\ttcs{appendix} before the \ttcs{chapter} command:
\begin{verbatim}
\appendix
\chapter{Poisson Integral}
\end{verbatim}
Not only will the ``Chapter'' word be replaced, but also the counter
will produce letters ``A'', ``B'', ``C'', etc.,\ instead of numbers.

The third variation is used for an element such as a preface or
introduction, which has no pretitle text at all.  For this, use the
\ttcs{chapter*} command:
\begin{verbatim}
\chapter*{Preface}
\endtopmatter
\end{verbatim}


\subsection{Monograph running heads}
%%
In a monograph prepared using the \stynam{amsbook} style, the chapter
title is used for the left running head and the text of section
headings (from \ttcs{section}) appears as the right running head.  
It is not uncommon for the text of a heading to be too long to fit
in the running head width; in such a case use the square-bracket option to
specify a shortened form of the heading for use in the running heads:
\begin{verbatim}
\section[Fourier coefficients of periodic functions]
   {Fourier coefficients of continuous periodic functions
   of bounded entropy norm}
\end{verbatim}
If the chapter title is too long to fit as a running head, a shortened
form can be supplied in a similar way.
Optional short forms will be used in the table of contents as well as
in running heads.
See also the \secref{Running Heads} section.


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\section{How to submit a file}
\label{s:howsub}

First send two proof copies of the manuscript to the appropriate journal
or book series editor.  You should state your intention to submit the
manuscript electronically, but the electronic version should not
accompany the proof copy.  Upon acceptance of the paper, the source file
should be sent to the Providence office.

Before sending the source file, be sure to proofread your article or
monograph carefully, as if you were preparing it for publication
yourself---you are!  The files that you send must be the ones used to
prepare the proof copy that was accepted for publication.

The source file may be submitted either by electronic mail or on
diskette.  Whichever method is used, a few simple guidelines apply.
\begin{enumerate}
\item An \AMSLaTeX{} manuscript should be prepared using the \stynam{amsart}
   or \stynam{amsbook} style according to the guidelines given above, plus
   whatever additional guidelines may have been given in instructions for
   a particular journal or book series.
\item Two printed copies of the manuscript, including art, should be
   sent to
  \begin{quote}
    Publications Department\\
    \AMS\\
    201 Charles St.\\
    P. O. Box 6248\\
    Providence, RI 02940-6248
  \end{quote}
   A covering letter accompanying the printed manuscript should indicate
   that the article was prepared and submitted electronically.
\item The file(s) should be complete, including your personal macro set
   if one was used.  If the manuscript is a single paper, personal
   macros should be installed in the preamble, and the bibliography
   should also be incorporated, so that only one file is needed.  The
   file(s) should be the same version(s) used to prepare the printed copy.
\item Only one \filnam{.tex} file should be sent for an article; for a
   monograph, send all necessary \filnam{.tex} and \filnam{.bib} files.
   Do not send {\tt.dvi} or transcript files; one of the first steps in
   processing is to process the files you have sent using the Society's
   \LaTeX{} production style files.
\item Use meaningful file names, and include the file name in a comment
   at the top of the file.  (See the sample paper input for an example.)
\item A covering letter (electronic, if the files are sent by electronic
   mail) should identify the author(s) and title of the paper or monograph,
   the publication or series in which it is to appear, and include a list
   of the file being sent, stating the significance of each.  If there is
   only one file and it is being sent by electronic mail, the file should
   be appended to the letter and both sent in a single message.
\end{enumerate}

\noindent
Only files for articles or monographs that have been accepted for
publication will be processed.  Files for which no approval has been
transmitted by the journal or book series editor will be held until
approval is received.


\subsection{Submitting files by electronic mail}
%%
Files sent by electronic mail should be addressed to the Internet address
\begin{quote}
 pub-submit@@Math.AMS.com
\end{quote}

Only one file should be submitted for an article.  If it is so long that
it exceeds mail system limits, it may be broken as described below.

If the manuscript comprises more than one file, each file (or part of a
file) should be sent in a separate message.  The subject line of the
message should identify the file by name; if one file has been broken
into parts on account of its large size, also identify the part---``part
$n$ of $m$''---in the subject line.

Files received by electronic mail will be acknowledged within five
business days.  If you do not receive an acknowledgment within that
time, please inquire; see 
the \secref{Getting help} section
below.


\subsection{Submitting files on diskette}
%%
Files may be sent on diskettes in any standard format and density
appropriate for either IBM PC-compatible or Macintosh.  Label diskettes
with your name, the title of your paper or monograph, and the
publication for which it is intended.  Diskettes and covering letters
should be sent to the Publications Department at the address shown above.

As diskettes are reusable, please make sure that all irrelevant files
that may remain from other work have been deleted.  Time spent by the
production staff in trying to identify extra files will delay processing
of your paper.

A package containing a diskette should be clearly marked ``Floppy disk.
Do not fold or bend.  Do not expose to electric motors or other
magnetic fields.''  Mailers designed for diskette shipment are available
from many sources; if you do not use a special mailer, cardboard or some
other stiffener should be enclosed in the package for protection.

Files received on diskette will be acknowledged as soon as possible
after they are received.  If you have not received an acknowledgment
within a reasonable amount of time (two weeks if you are located in
the North America, three weeks if in Europe, Australia, Japan, or
South America, a month if you are in Eastern Europe or Asia), please
inquire, writing to the same address to which you sent the diskette.


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\section{What happens to a file once it reaches the AMS}

When an electronic manuscript is received, the files are logged in for
tracking through the production process and matched with the paper
copy of the manuscript if that was sent separately.  Once it has been
determined that everything has been received, the files are sent to
the Composition Department for preliminary processing.  At this stage,
only those steps are taken that are necessary to ensure that the files
will run successfully with the production headers.  These steps include
the following.
\begin{enumerate}
\item Make additions or changes necessary to conform to the production
   requirements; this may include adding journal volume
   and issue numbers, for example.
\item Scan the preamble and remove any definitions that conflict with
   definitions in the production versions of the style files.
\item Remove hard-coded spacing that is intended only for formatting;
   this includes \ttcs{vskip}, \ttcs{bigskip}, control spaces, and
   the like.  Some spacing commands will be retained, in particular
   those that leave space for insertion of figures or tables or
   those included for the sense of mathematical expressions, for
   example the thinspace in $dx\,dy$ (\verb+$dx\,dy$+).
\item Run the files through \AMSLaTeX{} using the production versions
   of the style files. Make adjustments as necessary until this
   \AMSLaTeX{} run is error-free.
\end{enumerate}

The AMS production style fies will be different in several respects from
those used by the author.
\begin{enumerate}
\item Times Roman fonts will be used, rather than the Computer Modern
   used for the \stynam{amsart}, \stynam{amsbook}, and other styles
   distributed to authors.
\item Page dimensions may be changed, depending on the publication.
   The style and formatting of the top matter may also differ.
\item The publication logo and copyright notice will be present.
\end{enumerate}
The output of this \AMSLaTeX{} run is delivered to the Editorial Department,
where it is assigned to a production editor.
This proof is marked to note changes that must be made so that it will
conform to the style of the journal or book series.

The proof is returned to the Composition Department, where the marked
corrections are made in the files.  It is usually this stage that is most
sensitive to inconsistencies in the input coding.  For example, assume
that a control sequence has been defined to replace a frequently used
expression, but some instances of that expression in the text are spelled
out rather than input with the control sequence.  If the expression needs
to be changed corrections are marked on occurrences of the expression in
the proof text. When making corrections the keyboarder will find the
corresponding control sequence in the file text and will change the
definition, but will then assume that the definition has been used
throughout and will not look for exceptions.  It is for this reason you
must use the control sequence for every occurrence of the expression.

After corrections, the file is rerun through \AMSLaTeX{}, and the output
returned to the Editorial Department.  The corrections are checked, and
anything that does not conform to the previous markings is marked again.
This marked proof is then returned to the author for approval.

Any minor changes or corrections the author wishes to make after
receiving the marked proof should be submitted on paper.  Extensive
revision is not allowed at this stage.  Changes will be copymarked and
keyed by the Providence staff as for a non-electronic manuscript.
Electronic corrections or completely new submissions are not accepted.


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\section{Checklist}

Please use the following list in your final check as you package
your files to be sent to the AMS.

\begin{enumerate}
\item Top matter is complete.  Title, author(s), address(es), including
   current and e-mail addresses, subject classification(s), and (for a
   journal paper except in the \JAMS\/) abstract are required.  If
   appropriate, the \ttcs{thanks} footnote states whether the manuscript
   is preliminary or in final form.
   For a monograph, a separate top-level file includes the overall
   top matter and \ttcs{input} statements for every chapter.
\item Author-defined macros have been used throughout, for every occurrence
   of the strings or expressions that they define.
\item All author-defined macros are isolated in the preamble.  For a
   monograph, this is in only the top-level file.
\item No \TeX{}, \AmSTeX{}, \LaTeX{}, or \AMSLaTeX{} commands intended
   for formatting; you have used only the tags provided in the
   \stynam{amsart} or \stynam{amsbook} style.
\item You have proofread the manuscript carefully and thoroughly.
\item All files referred to in the job are included, and they have
   meaningful names.
\begin{enumerate}
  \item If files are being sent on diskette, no unnecessary
    files are present.
  \item If files are being sent by electronic mail, only one
    file is sent for an article, and an explanatory message has been
    included at the top of the file.  For a monograph comprising multiple
    files, each file is sent in a separate message with a subject line
    that identifies it clearly.  If any large file must be broken into
    pieces, the subject line also identifies which part of how many.
\end{enumerate}
\item The files that are being sent are the same ones that produced the 
    proof output.
\item A covering letter or explanatory message identifies the author(s),
   title, intended publication (journal or series), and list of files.
\item The covering letter or explanatory message also tells how you can be
   reached throughout the publication process.  Be sure to notify us if your
   address changes during this period.
\end{enumerate}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\section{Getting help}
\label{s:help}

If you encounter difficulties in preparing or submitting an \AMSLaTeX{}
manuscript in electronic form after it has been accepted for publication
by the appropriate editorial board, you can ask for help from:
\begin{quote}
 Technical Support Group\\
 \AMS{}\\
 201 Charles Street\\
 P. O. Box 6248\\
 Providence, RI 02940-6248\\*[2pt]
 Phone: 800-321-4AMS (321-4267) \quad or \quad 401-455-4080\\
 Internet: tech-support@@Math.AMS.com
\end{quote}


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\begin{thebibliography}{[ASMR]}

\bibitem[ALG]{ALG} {\it \AMSLaTeX{} version~$1.1$ user's guide},
Amer. Math. Soc., Providence, R.~I., 1990.

\bibitem[ASMR]{ASMR} {\it Abbreviations of names of serials reviewed in
Mathematical Reviews}, Amer. Math. Soc., Providence, R.~I.,
revised annually.

\bibitem[MFA]{MFA} {\it Manual for authors of mathematical papers},
Amer. Math. Soc., Providence, R.~I., 1990.

\bibitem[TB]{TB} Donald E. Knuth, {\it The \TeX book},
Addison-Wesley, Reading, Mass., 1984.

\bibitem[LM]{LM} Leslie Lamport, {\it \LaTeX\/: A document preparation
system}, Addison-Wesley, Reading, Mass., 1985.

\bibitem[Joy]{Joy} M. D. Spivak, {\it The joy of \TeX},
2nd revised ed.,
Amer. Math. Soc., Providence, R.~I., 1990.

\bibitem[MIT]{MIT} Ellen E. Swanson, {\it Mathematics into type},
Amer. Math. Soc., Providence, R.~I., 1979.

\end{thebibliography}


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\section{Appendixes}

Five appendixes accompany these \GL.  These comprise three samples, the
first two in two forms each (output and input), and the third only as input.
\renewcommand{\theenumii}{\arabic{enumii}}
\begin{enumerate}
\item[A.] The first sample represents a paper suitable for publication
  in a journal or in a collection such as a volume of conference
  proceedings.
\item[B.] The input corresponding to the sample paper; the input file
  is named \filnam{amsl-art.tex}.
\item[C.] The second sample represents a monograph, with front matter,
  one chapter, and a bibliography.
\item[D.] The monograph input consists of three parts:
 \begin{enumerate}
  \item Top-level file; the input file is named
    \filnam{amsl-mon.tex}.
  \item Chapter; the input file is named
    \filnam{amsl-mch.tex}.
  \item Monograph bibliography; the input file is named
    \filnam{amsl-mon.bbl}.
 \end{enumerate}
\item[E.] Bibliography; the \BibTeX{} input file is named
  \filnam{amsl-bib.bib}.
\end{enumerate}

\enddocument
