% lmsguide.tex
% Copyright (C) 1993,1994,1995 Cambridge University Press
% v0.5, 4th January 1995 

\documentstyle{lms}

%%% Uncomment ONE of the combinations \onetrue, \twotrue... \seventrue,
%%% depending on the LaTeX configuration on your system. The files in 
%%% parentheses are required to tex the sample pages and guide.

%%% You will need to have a local copy of the files shown in parentheses
%%% for those documentstyles. If you have any problems at all, remember
%%% thats your best option is to choose the version which has `noams' as
%%% part of its title, and if you wish the typesetter to substitute ams
%%% fonts for your fonts, please indicate this in the text.

%%% oldfss  = LaTeX without NFSS
%%% nfssone = LaTeX with New Font Selection Scheme v1
%%% nfsstwo = LaTeX with New Font Selection Scheme v2

%%% noams   = No AMS fonts, sample pages will substitute some characters
%%% amsone  = AMS v1 fonts
%%% amstwo  = AMS v2 fonts (the recommended option)

%%% Uncomment ONE of the following combinations:

 \onetrue     % oldfss/noams
% \twotrue     % oldfss/amsone (mssymb.tex)
% \threetrue   % oldfss/amstwo (amssym.def,amssym.tex)
% \fourtrue    % nfssone/noams
% \fivetrue    % nfssone/amstwo (amsfonts.sty,amssymb.sty)
% \sixtrue     % nfsstwo/noams
% \seventrue   % nfsstwo/amstwo (amsfonts.sty,amssymb.sty)

%%%% DON'T MODIFY THE FOLLOWING CODE; SKIP TO `START HERE' %%%%

\ifCUPmtlplainloaded
  \ifoldfss
%   \usefraktur
    \usescript
    %
    % set up 9pt Bbb for bibliography
    \font\ninemsy=mtym10 at 9pt
    \def\bibliobbb{\textfont\msyfam=\ninemsy}
  \fi
%
\else
%
%%% one (oldfss/noams)
  \ifone
    \def\frak{\protect\cal}
    \let\goth=\frak
    \def\Bbb{\protect\bf}
    \def\scr{\protect\cal}
  \fi

%%% two (oldfss/amsone)
  \iftwo 
    \input mssymb\relax % %%%MR own catcodes
    \makeatletter
    %
    % if the following is already uncommented in your version of
    % mssymb.tex, you may comment this out to % FINISH HERE to save
    % a font family
    %
    % set up Euler Fraktur/Gothic font (\frak, \goth)
    \font\teneuf=eufm10
    \font\seveneuf=eufm7
    \font\fiveeuf=eufm5
    \newfam\euffam
    \textfont\euffam=\teneuf
    \scriptfont\euffam=\seveneuf
    \scriptscriptfont\euffam=\fiveeuf
    \def\frak{\ifmmode\let\next\frak@\else
      \def\next{\errmessage{Use \string\frak\space only in math mode}}\fi
        \next}
    \def\goth{\ifmmode\let\next\frak@\else
      \def\next{\errmessage{Use \string\goth\space only in math mode}}\fi
        \next}
    \def\frak@#1{{\frak@@{#1}}}
    \def\frak@@#1{\fam\euffam#1}
    % FINISH HERE
    %
    % set up 9pt Bbb for bibliography
    \font\ninemsb=msym9
    \def\bibliobbb{\textfont\msyfam=\ninemsb}
    %
    \def\scr{\protect\cal}
    \let\le\leqslant \let\ge\geqslant
    \let\leq\leqslant \let\geq\geqslant
    \makeatother
  \fi

%%% three (oldfss/amstwo)
  \ifthree
%    \input ../test/oldfss/amssym.def\relax
%    \input ../test/oldfss/amssym.tex\relax %%%MR own catcode
     \input amssym.def\relax
     \input amssym.tex\relax %%%MR own catcode
    %
    % set up Euler Script font (\scr)
    \font\scrten=eusm10   \skewchar\scrten='60
    \font\scrseven=eusm7  \skewchar\scrseven='60
    \font\scrfive=eusm5   \skewchar\scrfive='60
    \newfam\scrfam
    \textfont\scrfam=\scrten
    \scriptfont\scrfam=\scrseven
    \scriptscriptfont\scrfam=\scrfive
    \def\scr{\fam\scrfam\scrten}
    %
    % set up 9pt Bbb for bibliography
    \font\ninemsb=msbm9
    \def\bibliobbb{\textfont\msbfam=\ninemsb}
    %
    \let\le\leqslant \let\ge\geqslant
    \let\leq\leqslant \let\geq\geqslant
  \fi

%%% four (nfssone/noams)
  \iffour
    \def\frak{\protect\cal}
    \let\goth=\frak
    \def\Bbb{\protect\mathbf}
    \def\scr{\protect\cal}
  \fi

%%% five (nfssone/amstwo)
  \iffive
    \makeatletter
%    \input ../test/nfss1/amsfonts.sty\relax %%%MR assumes \makeatletter
%    \input ../test/nfss1/amssymb.sty\relax
     \input amsfonts.sty\relax %%%MR assumes \makeatletter
     \input amssymb.sty\relax
    %
    \new@fontshape{eus}{m}{n}{%
       <5>eusm5<6>eusm6<7>eusm7<8>eusm8<9>eusm9<10>eusm10%
       <11>eusm10 at 10.95pt<12>eusm10 at 12pt<14>eusm10 at 14.4pt%
       <17>eusm10 at 17.28pt<20>eusm10 at 20.736pt%
       <25>eusm10 at 24.8832pt}{}%
    %
    \new@fontshape{eus}{b}{n}{%
       <5>eusb5<6>eusb6<7>eusb7<8>eusb8<9>eusb9<10>eusb10%
       <11>eusb10 at 10.95pt<12>eusb10 at 12pt<14>eusb10 at 14.4pt%
       <17>eusb10 at 17.28pt<20>eusb10 at 20.736pt%
       <25>eusb10 at 24.8832pt}{}%
    %
    \extra@def{eus}{\skewchar#1='60}{}
    %
    \newmathalphabet{\scr}
    \addtoversion{normal}{\scr}{eus}{m}{n}
    \addtoversion{bold}{\scr}{eus}{b}{n}
    %
    \let\le\leqslant \let\ge\geqslant
    \let\leq\leqslant \let\geq\geqslant
    \makeatother
 \fi

%%% six (nfsstwo/noams)
  \ifsix
    \let\cal\mathcal
    \def\frak{\protect\mathcal}
    \let\goth=\frak
    \def\Bbb{\protect\mathbf}
    \def\scr{\protect\mathcal}   
  \fi 

%%% seven (nfsstwo/amstwo)
  \ifseven
    \makeatletter
%   \input ../test/nfss2/amsfonts.sty\relax %%%MR asuumes \makeatletter
%   \input ../test/nfss2/amssymb.sty\relax
    \input amsfonts.sty\relax %%%MR asuumes \makeatletter
    \input amssymb.sty\relax
    %
    \DeclareMathAlphabet{\scr}{U}{eus}{m}{n}
    \SetMathAlphabet{\scr}{bold}{U}{eus}{b}{n}
    %
    \let\cal\mathcal
    \let\le\leqslant \let\ge\geqslant
    \let\leq\leqslant \let\geq\geqslant
    \makeatother
  \fi
%
\fi % end of CUPmtlplainloaded


%%% for guide only

\ifoldfss    
  \newcommand{\mitbf}[1] {\mbox{\boldmath ${#1}$}}
  \newcommand{\rmn}[1] {{\rm {#1}}}
  \newcommand{\itl}[1] {{\it {#1}}}
  \newcommand{\bld}[1] {{\bf {#1}}}
\fi

\ifnfssone
  \newmathalphabet{\mathit}
  \addtoversion{normal}{\mathit}{cmr}{m}{it}
  \addtoversion{bold}{\mathit}{cmr}{bx}{it}
  \newmathalphabet{\mathcal}
  \addtoversion{normal}{\mathcal}{cmsy}{m}{n}
  \newcommand{\mitbf}[1] {\hbox{\mathversion{bold}${#1}$}}
  \newcommand{\rmn}[1] {{\mathrm {#1}}}
  \newcommand{\itl}[1] {{\mathit {#1}}}
  \newcommand{\bld}[1] {{\mathbf {#1}}}
\fi

\ifnfsstwo
  \newcommand{\mitbf}[1] {\hbox{\mathversion{bold}${#1}$}}
  \newcommand{\rmn}[1] {{\mathrm {#1}}}
  \newcommand{\itl}[1] {{\mathit {#1}}}
  \newcommand{\bld}[1] {{\mathbf {#1}}}
\fi


%%% START HERE %%%

\def\eg{{\it e.g.\ }}
\def\etc{{\it etc}}
\def\visiblespace{\leavevmode\hbox{\tt\char`\ }}
\def\LaTeX{L\kern-.36em\raise.3ex\hbox{a}\kern-.15em
    T\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}
\def\tick{\raisebox{.5ex}{$\protect\sqrt{}$}}

\extraline{An extra footnoteline is available for funding information if
required}
\recdate{21 December 1994}
\classno{28C15}
\hyphenation{example examples}

\begin{document}

  \title[\LaTeX\ style file for London Mathematical Society 
   journals]{\LaTeX\ style file for submission to\\ 
   the London Mathematical Society journals}
  \author{Rod Mulvey \and\ Alison Woollatt}
        
\maketitle

  \begin{abstract}
    This guide is for authors who are preparing papers for the 
    journals of the London Mathematical Society using the 
    \LaTeX\ document-preparation system and the LMS style file.
  \end{abstract}

\tableofcontents

\section{Introduction}

In addition to the standard submission of hardcopy from authors, the
journals of the London Mathematical Society (LMS) now accept machine-readable
forms of papers in \LaTeX. Initially, only the {\em Bulletin\/} will be
accepting \LaTeX\ articles, but this is expected to be extended to the {\em
Journal\/} and {\em Proceedings\/} in due course. The layout design for the
LMS has been implemented as a \LaTeX\ style file, based on the \verb"article"
style as discussed in the \LaTeX\ manual \cite{LaTeX}.
Commands which differ from the standard \LaTeX\ interface, or which are
provided in addition to the standard interface, are explained in this
guide (which is {\em not} a substitute for the \LaTeX\ manual itself).
Authors planning to submit their papers in \LaTeX\ are advised to use
\verb"lms.sty" as early as possible in the creation of their files. (Note
that files using Plain \TeX, AMS\TeX\ or other variants cannot be used. Also,
the style is suitable only for papers, {\em not\/} for obituaries or book
reviews, although these may be available later.)

\subsection{Introduction to \LaTeX}

\LaTeX\ is constructed as a series of macros on top of the \TeX\
typesetting program.
\LaTeX\ adds to \TeX\ a collection of facilities which simplify typesetting
for authors by allowing them to concentrate on the logical structure of the
document rather than its visual layout.
Careful use of the \LaTeX\ mark-up philosophy results in uniform
layout rather than the {\em ad hoc\/} results of some word-processing systems.
Authors are advised to let the defaults control font selection etc.,
rather than tinker themselves.

\LaTeX\ provides a consistent and comprehensive document-preparation
interface. Amongst other things, \LaTeX\ can automatically number list
entries, equations, figures, tables and footnotes, as well as sections and
subsections. Using this numbering system, bibliographic citations, page
references and cross references to any other numbered entity (e.g. sections,
equations, figures) are straightforward.

\subsection{The LMS document style}

The use of document styles allows a simple change of style (or style
option) to transform the appearance of your document.
The LMS style file preserves the
standard \LaTeX\ interface such that any document which can be produced
using the standard \LaTeX\ \verb"article" style can also be produced with
the LMS style.
However, the measure (or width of text) is 15pt (5mm) wider than the default
for 10pt \verb"article", therefore line breaks will change. Authors are urged
to use \verb"lms.sty" from the beginning of their document preparation; in
particular, they are advised not to use wider measures as given by
\verb"a4.sty" etc., because this will involve truncating long lines at a later stage.

\subsection{General style issues}

Use of \LaTeX\ defaults will result in a pleasing uniformity of layout
and font selection. Authors should resist the temptation to make
{\em ad hoc\/} changes to these. Also avoid use of direct formatting unless
really necessary. Papers will be edited as usual, and this process may be
obstructed by the use of inserted line breaks, etc.

In addition to the standard \LaTeX\ fonts, authors can use the
AMS {\em msam\/} and {\em msbm\/} fonts (see Subsection~\ref{sec:fonts}
below). The final makeup will use Times Roman fonts, and if these are
available to authors (e.g. via PS\LaTeX) they should be employed in order
to ensure good use of space (they are in general more economical than
computer modern fonts).

For general style issues, authors are referred to the `Preparation of
manuscripts' in the {\em Bulletin} of the LMS. Authors who are interested in
the details of style are referred to \cite{Butcher} and \cite{Chicago}. The
language used in the journals is British English, and spelling should conform
to this.

Use should be made of symbolic references (\verb"\ref") in order to
protect against late changes of order, etc.

\subsection{Submission of \LaTeX\ articles to the LMS}

Authors who intend to submit a \LaTeX\ article to the LMS should obtain a
copy of the style file \verb"lms.sty". This is available by anonymous FTP from
\begin{verbatim}

  ftp.cup.cam.ac.uk

\end{verbatim}
You will find the style file, instructions and sample pages concatenated into a single file \verb"lms.all" in the directory
\begin{verbatim}

  /pub/texarchive/journals/latex

\end{verbatim}
If you cannot obtain the LMS style file, use \verb"article" style.

When submitting the final article, ensure that  the following are included and clearly labelled.
\begin{enumerate}
 \item Hardcopy printout of the article
 \item The input file (exactly matching hardcopy)
 \item A copy of all user-defined macros
 \item Bibliography files, or if you have used B{\sc ib}\TeX, the \verb".bib"
                 and \verb".bbl" files
 \item Any other files necessary to prepare the article
           for typesetting
\end{enumerate}
The files for the {\em final\/} article should be text-only with no 
system-dependent control codes, on a PC disk. If you are working on a
Macintosh, please use Apple File Exchange with the following options to
convert your file(s) to PC format.
\begin{enumerate}
\item Replace CR with CR/LF
\item Special characters: change to closest single character
\item Tab characters: Neither
\end{enumerate}
Submit the above by post to the appropriate member of the Editorial Board as
described on the inside back cover of each issue of the {\em Bulletin}. 

\section{Using the LMS style}

First, copy the file \verb"lms.sty" into an appropriate subdirectory on
your system.
The LMS style is implemented as a complete document style, {\em
not\/} an option.
In order to use the LMS style, replace \verb"article" by \verb"lms" in the
\verb"\documentstyle" command at the beginning of your document: that is,
%
\begin{verbatim}

  \documentstyle{article}

\end{verbatim}
%
is replaced by
%
\begin{verbatim}

  \documentstyle{lms}

\end{verbatim}
%
In general, the following standard document style options should {\em
not\/} be used with the LMS style:
%
\begin{itemize}
  \item {\tt 10pt}, {\tt 11pt}, {\tt 12pt} -- unavailable;
  \item {\tt draft}, {\tt twoside} -- {\tt twoside} is the default;
  \item {\tt fleqn}, {\tt leqno}, {\tt titlepage}, {\tt twocolumn} --
        should not be used (\verb"fleqn" is already incorporated into
        the LMS style).
\end{itemize}
%
However, {\tt proc}, {\tt ifthen}, {\tt bezier} can be used if
necessary.

At the beginning of the source code for this guide, you will find the
following code.
%
\begin{verbatim}

  %%% oldfss  = LaTeX without NFSS
  %%% nfssone = LaTeX with New Font Selection Scheme v1
  %%% nfsstwo = LaTeX with New Font Selection Scheme v2

  %%% noams   = No AMS fonts, sample pages will substitute some 
                characters
  %%% amsone  = AMS v1 fonts
  %%% amstwo  = AMS v2 fonts (the recommended option)

  %%% Uncomment ONE of the following combinations:

    \onetrue     % oldfss/noams
  % \twotrue     % oldfss/amsone (mssymb.tex)
  % \threetrue   % oldfss/amstwo (amssym.def,amssym.tex)
  % \fourtrue    % nfssone/noams
  % \fivetrue    % nfssone/amstwo (amsfonts.sty,amssymb.sty)
  % \sixtrue     % nfsstwo/noams
  % \seventrue   % nfsstwo/amstwo (amsfonts.sty,amssymb.sty)

\end{verbatim}

Before you process your document, you should uncomment one of these options, 
according to your system. The default is \verb"\onetrue". There is
more about the effects of these options in Subsection~\ref{sec:fonts}.

\section{Additional facilities}

In addition to all the standard \LaTeX\ design elements, the LMS style
includes the following features.
%
\begin{enumerate}
  \item Commands for typesetting the title page
  \item Ability to create new environments for examples,
        exercises, problems, definitions,
        notations, notes, remarks, conjectures,
        corollaries, lemmas, propositions, theorems,
        etc.
  \item Proof environment
  \item Noteinproof environment
  \item Acknowledgements environment
  \item Environments to produce affiliation addresses
  \item Control of enumerated lists
  \item Fonts---NFSS, AMS
\end{enumerate}
%
In general, once you have used the additional \verb"lms.sty"
facilities in your document, do not process it with a standard \LaTeX\
style file.

\subsection{Typesetting the title page}

At the beginning of your article, the title should be generated in the
usual way using the \verb"\maketitle" command. Immediately following the
title you may include an abstract. For example, the titles for this guide were produced by the following source.
%
\begin{verbatim}

  \extraline{An extra footnoteline is available for funding
   information if required.}
  \classno{28C15}

  \begin{document}

  \title[\LaTeX\ style file for London Mathematical Society 
   journals]{\LaTeX\ style file for submission to\\ 
   the London Mathematical Society journals}
  \author{Rod Mulvey \and\ Alison Woollatt}
        
  \maketitle

  \begin{abstract}
    This guide is for authors who are preparing papers for the 
    journals of the London Mathematical Society using the 
    \LaTeX\ document-preparation system and the LMS style file.
  \end{abstract}

\end{verbatim}

Note that there is a new command -- \verb"\extraline" -- which gives an 
extra footnote on the title page, and which is typically used for funding
information. The 1991 {\it Mathematics Subject Classification\/} number
will be inserted as a footnote. To insert the number, you use another
new command -- \verb"\classno". The classificaton number on the title
page of this guide was typeset using: \verb"\classno{28C15}".

In the LMS style, the title of the article and the author's name (or
authors' names) are used both at the beginning of the article for the main
title and throughout the article as running headlines at the top of every
page.
The title is used on odd-numbered pages (rectos) and the author's name
appears on even-numbered pages (versos).
Although the main heading can run to several lines of text, the running
headline must be a single line.
Moreover, the main heading can incorporate new-line commands
(e.g. \verb"\\"), but these are not acceptable in a running headline.
To enable you to specify an alternative short title, which should be not
more than 48 characters and spaces, and an alternative short author's name,
the standard \verb"\title" and \verb"\author" commands have been extended
to take an optional argument to be used as the running headline.

\subsection{Creating new environments}

You can create your own environments in \LaTeX, and although you may already
be familiar with \verb"\newtheorem", you will not have seen the other two commands explained below.
\begin{enumerate}
  \item \verb"\newtheorem" is used for creating new theorem-like
         environments, such as theorems, corollaries, lemmas, 
         conjectures and propositions, with the body of the text
         (automatically) in italic.
  \item \verb"\newnumbered" is used for creating new numbered environments,
         such as\break examples, exercises and problems, with the body of 
         the text in roman. 
  \item \verb"\newunnumbered" is used for creating new
         {\it un\/}numbered environments, such as remarks, notes 
         and definitions, also with the body of the text in roman.
\end{enumerate}

\subsubsection{\tt \char"5C newtheorem}

You can set up numbered and unnumbered theorem-like environments to 
produce, for example, the following output.
  \newtheorem{corollary}{Corollary} 
  \begin{corollary}[An optional argument]
    Let $G$ be the free group on the generators $\langle   
    y_n\rangle^\infty_{n=1}$. There is a finite partition of 
    $G\times G$ such that one cannot find $(a,b)\in G\times G$ and
    $d\in FP(\langle y_n\rangle ^\infty_{n=1})$ with either 
    $(a,b)\approx (ad,b)\approx (a,bd)$ or $(a,b)\approx (da,b)
    \approx (a,db)$.    
  \end{corollary}
  \begin{corollary*}
    An unnumbered corollary will start like this.
  \end{corollary*}
\noindent To do this, create the corollary environment in the preamble
%
\begin{verbatim}

  \newtheorem{corollary}{Corollary} 

\end{verbatim}
%
and use it as follows in the document.
%
\begin{verbatim}

  \begin{corollary}[An optional argument]
    Let $G$ be the free group on the generators $\langle   
    y_n\rangle^\infty_{n=1}$. There is a finite partition of 
    $G\times G$ such that one cannot find $(a,b)\in G\times G$ and
    $d\in FP(\langle y_n\rangle ^\infty_{n=1})$ with either 
    $(a,b)\approx (ad,b)\approx (a,bd)$ or $(a,b)\approx (da,b)
    \approx (a,db)$.    
  \end{corollary}
  \begin{corollary*}
    An unnumbered corollary will start like this.
  \end{corollary*}

\end{verbatim} 

The \verb"\newtheorem" command has the usual optional arguments (see 
\cite[p.~174]{LaTeX}), which can be used to control the numbering of 
these environments.

\subsubsection{{\tt \char"5C newnumbered}\enskip and\/ {\tt \char"5C newunnumbered}}

Theorem-like environments have the\break body of the theorem in italics. This 
is inappropriate for environments like example, exercise and remark, which
require the text to be roman. These may be created by the commands
\verb"\newnumbered" (which gives you a numbered environment) and
\verb"\newunnumbered" (which gives you an unnumbered environment); both are
used just like \verb"\newtheorem". You can control the numbering of 
\verb"\newnumbered" environments in exactly the same way as you do for 
theorems, by using optional arguments, as mentioned above.
  \newnumbered{example}{Example} 
  \newunnumbered{notation}{Notation}
  \begin{example}
    Let $H$ be a real infinite dimensional Hilbert space with 
    orthonormal basis $\{e_n\}$. We define a linear isometry
    $A:H\rightarrow H$ by \ldots\ but $u_n \not\rightarrow u$.
  \end{example}
  \begin{example*}
    You can have an example unnumbered if you use an asterisk in  
    the source code. This gives the same layout as an unnumbered 
    environment (see below).
  \end{example*}
  \begin{notation}
    This is mostly standard.
  \end{notation}
\noindent The above is produced by typing in the preamble
\begin{verbatim}

  \newnumbered{example}{Example} 
  \newunnumbered{notation}{Notation}

\end{verbatim}
and in the document the following.
\begin{verbatim}

  \begin{example}
    Let $H$ be a real infinite dimensional Hilbert space with 
    orthonormal basis $\{e_n\}$. We define a linear isometry
    $A:H\rightarrow H$ by \ldots\ but $u_n \not\rightarrow u$.
  \end{example}
  \begin{example*}
    You can have an example unnumbered if you use an asterisk in  
    the source code. This gives the same layout as an unnumbered 
    environment (see below).
  \end{example*}
  \begin{notation}
    This is mostly standard.
  \end{notation}

\end{verbatim}

Note from this example that you can suppress the numbering on a \verb"\newnumbered" environment, and that the result is the same
as if you had defined a \verb"\newunnumbered" environment.

\subsection{{\tt proof} environment}

An environment exists for proofs, and it can take an optional argument.
  \begin{proof}[of Theorem~{\rm 27}]
    We define a linear isometry $A:H\rightarrow H$ by the nonlinear 
    Schr\"{o}dinger equation. It would not be hard to modify the 
    proof to obtain an analogous result for ellipsoids rather than 
    spheres.
  \end{proof}
\noindent This is produced by typing the following.
\begin{verbatim}

  \begin{proof}[of Theorem~{\rm 27}]
    We define a linear isometry $A:H\rightarrow H$ by the nonlinear 
    Schr\"{o}dinger equation. It would not be hard to modify the 
    proof to obtain an analogous result for ellipsoids rather than 
    spheres. 
  \end{proof}
\end{verbatim}


\subsection{{\tt noteinproof} environment}

The \verb"noteinproof" environment has been set up for material added at 
the proof stage.

  \begin{noteinproof}
   We define a linear isometry $A:H\rightarrow H$ by the nonlinear 
   Schr\"{o}dinger equation. It would not be hard to modify the 
   proof to obtain an analogous result for ellipsoids rather than
   spheres.
  \end{noteinproof}
\noindent The above was generated by typing the following.
\begin{verbatim}

  \begin{noteinproof}
    We define a linear isometry $A:H\rightarrow H$ by the nonlinear 
    Schr\"{o}dinger equation. It would not be hard to modify the 
    proof to obtain an analogous result for ellipsoids rather than
    spheres. 
  \end{noteinproof}
\end{verbatim}

\subsection{{\tt acknowledgements} environment}

You may acknowledge your colleagues in the following manner.
  \begin{acknowledgements}
    Grateful thanks are due to my colleagues Dr Tony Drew and 
    Mr Bill Colbran.
  \end{acknowledgements}
 \noindent The above was produced by typing the following.
\begin{verbatim}

  \begin{acknowledgements}
    Grateful thanks are due to my colleagues Dr Tony Drew and 
    Mr Bill Colbran.
  \end{acknowledgements}

\end{verbatim}

\subsection{Affiliation addresses}

Affiliation(s) appear at the end of an article. The LMS style allows up to 
four affiliations, using \verb"\affiliationone", \verb"\affiliationtwo", 
\verb"\affiliationthree" and \verb"\affiliationfour". The addresses at the 
end of this guide were produced using the following. 
\begin{verbatim}

  \affiliationone{Cambridge University Press\\
   Printing Division\\ Shaftesbury Road\\ Cambridge CB2 2BS}
  %
  \affiliationtwo{School of Mathematical Sciences\\ 
   Queen Mary and Westfield College\\ Mile End Road\\ London E1 4NS}                                             

\end{verbatim} 

\subsection{Lists}

The LMS style provides three standard list environments:
\begin{itemize}
  \item numbered lists, created using the \verb"enumerate" environment;
  \item bulleted lists, created using the \verb"itemize" environment;
  \item labelled lists, created using the \verb"description" environment.
\end{itemize}
The enumerated list numbers each list item with a small roman numeral in parentheses.
Alternative styles can be achieved by inserting a redefinition of the
number labelling command after \verb"\begin{enumerate}".
For example, a list numbered with arabic numerals inside parentheses can be
produced by the following. 
%
\begin{verbatim}

  \begin{enumerate}
    \renewcommand{\theenumi}{(\arabic{enumi})}
    \item First item
\end{verbatim}    
~~~~~~~~~~~~~~~\vdots
\begin{verbatim}
  \end{enumerate}

\end{verbatim}
%
This produces the following list.
%
\begin{enumerate}
  \renewcommand{\theenumi}{(\arabic{enumi})}
  \item First item
  \item second item
  \item etc.
\end{enumerate}

\subsection{Fonts}
\label{sec:fonts}

There are at present two `font selection schemes' in use for \LaTeX; 
these govern the use and interpretation of commands like \verb"\bf", 
\verb"\rm". The {\it old font selection scheme\/} is at present the 
\LaTeX\ default, and is described in \cite{LaTeX}. The {\it new font 
selection scheme} has been introduced in later versions of \LaTeX\ and, of course, in \LaTeX 2$\epsilon$. The LMS style will 
operate without modification using either font selection scheme.

There are also two series of fonts designed by the American Mathematical 
Society ({\em msam} and {\em msbm}), and these can be used if desired. 
The AMS fonts contain slanted versions of the greater than or equal 
to, and less than or equal to, signs; these slanted versions are 
preferred by the LMS and so are substituted whenever \LaTeX\ commands like \verb"\ge" are used. 
Authors without the AMS fonts can thus use the standard \LaTeX\ forms,
\verb"\ge" or \verb"\geq" and \verb"\le" or \verb"\leq". 

Table~\ref{fonts} shows all the combinations of versions of \LaTeX\ and AMS.
You can see from the option you have chosen exactly which fonts are going 
to work for you, and which fonts you can expect to be substituted.

(If you need to specify an extra font for use on your system, please do so
with a generic command name defined in your preamble. We can then substitute
the correct font globally.)
% 
\begin{table}
\caption[]{Font substitutions. A \tick\ means you will get the font you
specified; otherwise, the font will be substituted with the one shown.}
\label{fonts}
\tabcolsep=5pt% reduced from 6pt for this table only
\begin{tabular}{lccccc}
\hline
Your \LaTeX\ configuration   & \verb"\Bbb" & \verb"\script" & \verb"\cal" 
& \verb"\leqslant" & \verb"\frak"\\
\hline
one (oldfss/noams)     & \verb"\bf"     & \verb"\cal"    & \tick  & --       & \verb"\cal"\\ 
two (oldfss/amsone)    & \tick & \verb"\cal"     & \tick  & \tick    & \tick\\
three (oldfss/amstwo)  & \tick & \tick  & \tick  & \tick    & \tick\\
four (nfssone/noams)   & \verb"\mathbf" & \verb"\cal"    & \tick  & --       & \verb"\cal"\\
five (nfssone/amstwo)  & \tick & \tick  & \tick  & \tick    & \tick\\
six (nfsstwo/noams)    & \verb"\mathbf" & \verb"\mathcal"  & \tick  & --       & \verb"\mathcal"\\
seven (nfsstwo/amstwo) & \tick & \tick  & \tick  & \tick    & \tick\\
\hline
\end{tabular}
\end{table}

\section{Some guidelines for using standard facilities}

The following notes may help you achieve the best effects with the LMS
style file.

\subsection{Sections}

\LaTeX\ provides five levels of section headings, only three of which are
defined in the LMS style file:
%
\begin{itemize}
  \item \verb"\section"
  \item \verb"\subsection"
  \item \verb"\subsubsection"
\end{itemize}

\subsection{Running headlines}

As described above, the title of the article and the author's name (or
authors' names) are used as running headlines at the top of every page.
The \verb"\pagestyle" and \verb"\thispagestyle" commands should {\em not\/}
be used. Similarly, the commands \verb"\markright" and \verb"\markboth"
should not be necessary.

\subsection{Illustrations (or figures)}

The LMS style will cope with most positioning of your illustrations, and you
should not normally use the optional positioning qualifiers on the
\verb"figure" environment which would override these decisions. A
figure caption should be below the figure itself, therefore the
\verb"\caption"
command should appear after the figure or space left for an illustration.
For example, Figure~\ref{sample-figure} is produced using the following.
%
\begin{verbatim}

  \begin{figure}
    \centering
    \vspace{5cm}
    \caption{An example figure in which space has been
             left for the artwork}
    \label{sample-figure}
  \end{figure}

\end{verbatim}
%
  \begin{figure}
    \centering
    \vspace{5cm}
    \caption{An example figure in which space has been
             left for the artwork}
    \label{sample-figure}
  \end{figure}

\subsection{Tables}

The LMS style will cope with most positioning of your tables,
and you should not normally use the optional positioning qualifiers on the
\verb"table" environment which would override these decisions.
Table captions should be at the top, therefore the \verb"\caption" command
should appear before the body of the table.

The \verb"tabular" environment should be used to produce ruled tables;
it has been modified for the LMS style in the following ways.
%
\begin{enumerate}
  \item Additional vertical space is inserted on either side of a rule.
  \item Vertical lines are not produced.
\end{enumerate}
%
Commands to redefine quantities such as \verb"\arraystretch" should be
omitted.
For example, Table~\ref{symbols} is produced using the following.
%
\begin{verbatim}

  \begin{table}
   \caption{Components of generating functions}
   \begin{tabular}{ccc}
    \hline
     $k$ & $\alpha_k(x)$ & $l_k(x)$\\
    \hline
     1 & 1                 & 1 \\
     2 & $x^3$             & $x^3$\\
     3 & $2x^5$            & $2x^5$\\
     4 & $2x^7$            & $x^6+2x^7$\\
     5 & $2x^7+2x^9$       & $2x^7+2x^9$\\
     6 & $2x^{11}$         & $4x^8+2x^{11}$\\
     7 & $4x^9+2x^{13}$    & $4x^9+2x^{13}$\\
     8 & $2x^9+2x^{15}$    & $3x^9+4x^{10}+2x^{15}$\\
     9 & $4x^{11}+2x^{17}$ & $4x^{10}+4x^{11}+2x^{17}$\\
    \hline
   \end{tabular}
   \label{symbols}
  \end{table}

\end{verbatim}
  \begin{table}
   \caption{Components of generating functions}
   \begin{tabular}{ccc}
    \hline
     $k$ & $\alpha_k(x)$ & $l_k(x)$\\
    \hline
     1 & 1                 & 1 \\
     2 & $x^3$             & $x^3$\\
     3 & $2x^5$            & $2x^5$\\
     4 & $2x^7$            & $x^6+2x^7$\\
     5 & $2x^7+2x^9$       & $2x^7+2x^9$\\
     6 & $2x^{11}$         & $4x^8+2x^{11}$\\
     7 & $4x^9+2x^{13}$    & $4x^9+2x^{13}$\\
     8 & $2x^9+2x^{15}$    & $3x^9+4x^{10}+2x^{15}$\\
     9 & $4x^{11}+2x^{17}$ & $4x^{10}+4x^{11}+2x^{17}$\\
    \hline
   \end{tabular}
   \label{symbols}
  \end{table}

\subsection{Displayed mathematics}

The LMS style will centre displayed mathematics. You should use the \LaTeX\
standard of open and closed square brackets as delimiters for unnumbered
equations. The equation
  \[ \sum_{i=1}^p \lambda_i = {\rmn {trace}}({\bld S}) \]
was typeset in the LMS style with
\begin{verbatim}

  \[ \sum_{i=1}^p \lambda_i = {\rmn {trace}}({\bld S}) \]

\end{verbatim}
The same equation may be numbered by the use of
\verb"\begin{equation}"\ldots\break\verb"\end{equation}".
Note that \verb"\rmn" and \verb"\bld" will produce roman 
and bold face characters respectively in math mode. They have been 
defined in two ways in the source code of the guide: one for 
authors using the new font selection scheme, and the other for 
authors using the old font selection scheme.



\subsection{Bibliography}

References to published literature will automatically be inserted into the  text; see examples below for style.
References should be listed in a \verb"thebibliography" environment
alphabetically by author name(s) and then by year if the same author
has several papers. The author name(s) should be in the \verb"\bibname"
environment, using \verb"\and" where necessary. To refer to one of the
references, for instance \cite{Bargmann}, you just type
\verb"\cite{Bargmann}" in your source file. 

The following listing shows some references prepared in the style of the
{\em Bulletin}; it produces the references shown at the end of this guide.
%
\begin{verbatim}

  \begin{thebibliography}{9}
    %
  \bibitem{Bargmann}
    {\bibname V. Bargmann}, `On a Hilbert space of 
    analytic functions and an associated integral 
    transform', {\em Comm.\ Pure Appl.\ Math.}\ (1961) 
    187--214.
    %
  \bibitem{Berezin}
    {\bibname F. A. Berezin}, `Covariant and 
    contravariant symbols of operators', {\em Math.\ 
    USSR-Izv.}\ 6 (1972) 1117--1151.
    %
  \bibitem{BergerFA}
    {\bibname C. A. Berger \and L. A. Coburn}, `Toeplitz 
    operators and quantum mechanics', {\em J. Funct.\ 
    Anal.}\ 68 (1986) 273--299.
    %
  \bibitem{BergerTAMS}
    {\bibname C. A. Berger \and L. A. Coburn}, `Toeplitz 
    operators on the Segal--Bargmann space', {\em Trans.\ 
    Amer.\ Math.\ Soc.}\ 301 (1987) 813--829.
    %
  \bibitem{Butcher}
    {\bibname J. Butcher},
    {\em Copy-editing: the Cambridge handbook\/}
    (Cambridge University Press, 1981).
    %
  \bibitem{Chicago}
    {\em The Chicago manual of style\/}
    (University of Chicago Press, 1982).
    %
  \bibitem{Guillemin}
    {\bibname V. Guillemin}, `Toeplitz operators in 
    $n$~dimensions', {\em Integral Equations Operator 
    Theory\/} 7 (1984) 154--205.
    %
  \bibitem{Janas}
    {\bibname J. Janas}, `Toeplitz and Hankel operators 
    on Bargmann spaces', {\em Glasgow Math.\ J.} 30 (1988) 
    315--323.
    %
  \bibitem{LaTeX}
  {\bibname L. Lamport}, 
    {\em \LaTeX: a document preparation system\/}
    (Addison-Wesley, New York, 1986).
  \end{thebibliography}

\end{verbatim}
%
Formatting for italic etc.\ should be avoided unless you are sure you
understand the style of references; please concentrate on giving full and
clear information.

\section{Summary of commands}

Table~\ref{authors} summarizes the design macros which are unique
to the LMS style.

\begin{table}
\caption{Summary}
\label{authors}
\tabcolsep=3pt% reduced from 6pt for this table only
\begin{tabular}{ll}
\hline
\verb"\title[optional short title]{long title}"
                       & for short title in running heads\\[2pt]
\verb"\author[optional short author(s)]{long author(s)}" 
                       & for short author(s) in running\\
                       & heads\\[2pt]
\verb"\begin{abstract}...\end{abstract}" & for abstract on title page\\[2pt]
\verb"\extraline"      & for extra footnote for\\
                       & funding information\\[2pt]
\verb"\classno"        & for {\it Mathematics Subject Classification}\\
                       & number on title page\\[2pt]
\verb"\newnumbered"    & to create numbered environments\\
                       & such as examples, exercises, problems\\[2pt]
\verb"\newunnumbered"  & to create unnumbered environments\\ 
                       & such as remarks, notes, definitions\\[2pt]
\verb"\begin{proof}...\end{proof}" & proof environment\\[2pt]
\verb"\begin{noteinproof}...\end{noteinproof}" & for material added at proof
                                                 stage\\[2pt]
\verb"\begin{acknowledgements}...\end{acknowledgements}" 
                       & to acknowledge your colleagues\\[2pt]
\verb"\affiliationone" & for the first affiliation\\[2pt]
\verb"\affiliationtwo" & for the second affiliation\\[2pt]
\verb"\affiliationthree" & for the third affiliation\\[2pt]
\verb"\affiliationfour" & for the fourth affiliation\\[2pt]
\hline
\end{tabular}
\end{table}

\begin{thebibliography}{9}
    %
  \bibitem{Bargmann}
    {\bibname V. Bargmann}, `On a Hilbert space of 
    analytic functions and an associated integral 
    transform', {\em Comm.\ Pure Appl.\ Math.}\ (1961) 
    187--214.
    %
  \bibitem{Berezin}
    {\bibname F. A. Berezin}, `Covariant and 
    contravariant symbols of operators', {\em Math.\ 
    USSR-Izv.}\ 6 (1972) 1117--1151.
    %
  \bibitem{BergerFA}
    {\bibname C. A. Berger \and L. A. Coburn}, `Toeplitz 
    operators and quantum mechanics', {\em J. Funct.\ 
    Anal.}\ 68 (1986) 273--299.
    %
  \bibitem{BergerTAMS}
    {\bibname C. A. Berger \and L. A. Coburn}, `Toeplitz 
    operators on the Segal--Bargmann space', {\em Trans.\ 
    Amer.\ Math.\ Soc.}\ 301 (1987) 813--829.
    %
  \bibitem{Butcher}
    {\bibname J. Butcher},
    {\em Copy-editing: the Cambridge handbook\/}
    (Cambridge University Press, 1981).
    %
  \bibitem{Chicago}
    {\em The Chicago manual of style\/}
    (University of Chicago Press, 1982).
    %
  \bibitem{Guillemin}
    {\bibname V. Guillemin}, `Toeplitz operators in 
    $n$~dimensions', {\em Integral Equations Operator 
    Theory\/} 7 (1984) 154--205.
    %
  \bibitem{Janas}
    {\bibname J. Janas}, `Toeplitz and Hankel operators 
    on Bargmann spaces', {\em Glasgow Math.\ J.} 30 (1988) 
    315--323.
    %
  \bibitem{LaTeX}
  {\bibname L. Lamport}, 
    {\em \LaTeX: a document preparation system\/}
    (Addison-Wesley, New York, 1986).
  \end{thebibliography}
  
%% Note that there is no paragraph spacing between two affiliations
%% side by side

  \affiliationone{Cambridge University Press\\
    Printing Division\\ Shaftesbury Road\\ Cambridge CB2 2BS}
  %
  \affiliationtwo{School of Mathematical Sciences\\ 
   Queen Mary and Westfield College\\ Mile End Road\\ London E1 4NS}                                             

\end{document}
