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\documentclass{wow3}
\NeedsTeXFormat{LaTeX2e}

\usepackage{graphicx}


\newtheorem{lemma}{Lemma}
\newtheorem{corollary}{Corollary}

\title[Typesetting your book using wow3]
{Typesetting your book using wow3}
\author{Andrew N.\ Other}
\affiliation{The Institute of Mathematics and its Applications, Southend on
Sea, UK}

\begin{document}
\maketitle

\begin{abstract}
Please place your abstract here
\end{abstract}


\section[short]{Introduction}


At the heart of \LaTeX\kern.15em 2${}_{\textstyle\varepsilon}$ is the
`document class'. The class you will be
using is called wow3.cls. This class file is designed for 100
per cent reproduction, i.e.\ the size of the pages is the same as the
size of the page in the printed work. Fonts and spacing may look either
too small or too rough at this stage, but this will be resolved
when the high-resolution printout is prepared.

To use the wow3 class, you should put {\tt wow3.cls}
in the same directory as {\tt latex.tex}, or the
directory where your input files are normally kept.

The {\tt wow3.cls} file has been constructed so that it
can relatively easily be substituted for one of the standard
\LaTeX\ classes: \verb+article+, \verb+book+, etc.
If you have been
using the standard classes, the only problems you should encounter
using the
wow3 class will be those of aberrant page breaks caused
by the alterations in the page/type dimensions that swapping
class files inevitably produces.

To invoke the wow3 class, put the following line at
the top of your source file, before \verb+\begin{document}+
\smallskip
\begin{verbatim}
\documentclass{wow3}
\end{verbatim}
\smallskip


\section{Before copy-editing}
The copy-editing of your text will undoubtedly affect its final appearance.
You should try to avoid, therefore, spending too much time on the
appearance of your text until the copy-editor's work is complete.
The use of \verb+\pagebreak+ and \verb+\newpage+ can be particularly
problematic when inserting changes.


% ***********************************
\section{The copy-editing stage}
% ***********************************
When you have completed your text, your editor will require a printout
for copy-editing and a complete set of electronic files of the book. The copy-editor's job is to read through the typescript
and (1) check that it is complete and that its general structure is
satisfactory; (2) look for any errors in grammar or spelling; (3) make it
consistent with IMA house style; and (4) check that it is internally
consistent.

\section{After copy-editing}
 When the copy-editor's work is finished, the
typescript and electronic files will be sent to a TeX typesetter to insert the corrections.
There will inevitably be some queries to be sorted out, and
the answers to these can usually be incorporated on the proof you will receive after the typesetter 
has made the corrections.  If there are many queries or they involve substantial changes, you will be
asked to answer them immediately after copy-editing.

{\em It is important to remember that after the typescript goes to the typesetter, 
you will be able to make only minor alterations to correct errors.}



% *************************************************
\section{Section headings}
% *************************************************
You will want to divide your document up, whether you are
writing a whole book or just a part. The wow3 style
provides the following commands which produce headings in the
correct typography, and automatically number the various
segments of text.
\begin{itemize}
\item section
\item subsection
\item subsubsection
\end{itemize}
The various headings are used
like this:
\begin{verbatim}
\section[Optional short heading]{Full heading}
\section[Optional short heading]{Full heading}
\subsection[Optional short heading]{Full heading}
\subsubsection[Optional short heading]{Full heading}
\end{verbatim}
with the optional short heading appearing in the
contents list and in the running headlines.
Note that all the numbering is done automatically. You need
only to put in the words of the heading. 

Unnumbered headings can be produced using the
\verb+*+ option, but note that they will not
appear in the contents list. 

To construct an appendix, simply insert the
command \verb+\appendix+, then continue using
sectioning commands in the normal way. The
numbering of headings, figures, tables, etc.\
will thereafter include a letter in place of the
section number.



\section{Example of text}

The following is a small sample of text showing the use of
citations, tables, figures, corollaries and the bibliography.


The use of integral equations to solve `exterior' problems in
linear acoustics, i.e.\ to solve the Helmholtz equation
$(\nabla^2+k^2)\phi=0$ outside a surface $S$ given that $\phi$
satisfies certain boundary conditions on $S$, is very common. A
good description is provided by \cite{Martin80}. Integral
equations have also been used to solve the two-dimensional
Helmholtz equation that arises in water-wave problems where there
is a constant depth variation.  The problem of wave oscillations
in arbitrarily shaped harbours using such techniques has been
examined (see for example \cite[Hwang \& Tuck 1970]{Hwang70};
\cite[Lee 1971]{Lee71}).

\begin{table}
  \centering
  \begin{tabular}{lccc}
      $a/d$  & $M=4$   &   $M=8$ & Callan {\it et al.} \\[3pt]
       0.1   & 1.56905 &   1.56  & 1.56904\\
       0.3   & 1.50484 &   1.504 & 1.50484\\
       0.55  & 1.39128 &   1.391 & 1.39131\\
       0.7   & 1.32281 &  10.322 & 1.32288\\
       0.913 & 1.34479 & 100.351 & 1.35185\\
  \end{tabular}
  \caption{Values of $kd$ at which trapped modes occur when $\rho(\theta)=a$}
  \label{tab:kd}
 \end{table}

Table~\ref{tab:kd} shows a comparison of results obtained from
this method using two different truncation parameters with
accurate values obtained using the method of \cite[Callan {\it et al.}
(1991)]{Callan91}.

%
An example of the results that are obtained from our method is
given in figure~\ref{fig:wave}.
Figure~\ref{fig:contour}\,(\textit{a},\textit{b}) shows shaded
contour plots of $\phi$ for these modes, normalized so that the
maximum value of $\phi$ on the body is 1. Symmetric
(figure~\ref{fig:contour}\textit{a}) modes are shown, while the
antisymmetric ones appear in figure~\ref{fig:contour}(\textit{b}).
%
\begin{figure}
  \vspace{5pc}
%\includegraphics[width=8cm]{fig1.eps}
  \caption{Shaded contour plots of the potential $\phi$ for the two trapped
    modes that exist for an ellipse with $a/d=1.5$, $b/d=0.75$.
    (\textit{a}) Symmetric about $x=0$, $kd=0.96$;
    (\textit{b}) antisymmetric about $x=0$, $kd=1.398$.}\label{fig:contour}
\end{figure}


\begin{corollary}
Any non-zero trial function $f$ which satisfies the boundary
condition $f(0)=f(1)=0$ always satisfies
\begin{equation}
  \int_0^1 \left( \frac{\mathrm{d} f}{\mathrm{d} z} \right)^2 \mathrm{d} z.
\end{equation}
\end{corollary}

\begin{thebibliography}{}

  \bibitem[Bearman \& Graham (1980)]{Bearman80}
     \textsc{Bearman, P. W. \& Graham, J. M. R.} 1980
     {Vortex shedding from bluff bodies in oscillating flow:
     A report on Euromech 119.}
     \textit{J.~Fluid Mech.} \textbf{99}, 225--245.

 \bibitem[Callan, Linton \& Evans (1991)]{Callan91}
     \textsc{Callan, M., Linton, C. M. \& Evans D. V.} 1991
     {Trapped modes in two-dimensional wave\-guides.}
     \textit{J.~Fluid Mech.} \textbf{229}, 51--64.

 \bibitem[Dennis (1985)]{Dennis85}
     \textsc{Dennis, S. C. R.} 1985 Compact explicit finite difference
     approximations to the Navier--Stokes equation. In \textit{Ninth Intl
     Conf.\ on Numerical Methods in Fluid Dynamics} (ed.\ Soubbaramayer
     \& J. P. Boujot). Lecture Notes in Physics, vol.\ 218,
     pp.\ 23--51. Springer.

  \bibitem[Hwang \& Tuck (1970)]{Hwang70}
     \textsc{Hwang, L.-S. \& Tuck, E. O.} 1970
     {On the oscillations of harbours of arbitrary shape.}
     \textit{J.~Fluid Mech.} \textbf{42}, 447--464.

  \bibitem[Keller (1977)]{Keller77}
     \textsc{Keller, H. B.} 1977 Numerical solution of bifurcation and
     nonlinear eigenvalue problems. In \textit{Applications of Bifurcation
     Theory} (ed.\ P. H. Rabinovich), pp.\ 359--384. Academic.

  \bibitem[Koch (1983)]{Koch83}
     \textsc{Koch, W.} 1983 {Resonant acoustic frequencies of flat plate
     cascades.} \textit{J.~Sound Vib.} \textbf{88}, 233--242.

  \bibitem[Lee (1971)]{Lee71}
     \textsc{Lee, J.-J.} 1971 {Wave-induced oscillations in harbours of
     arbitrary geometry.} \textit{J.~Fluid Mech.} \textbf{45}, 375--394.

  \bibitem[Linton \& Evans (1992)]{Linton92}
     \textsc{Linton, C. M. \& Evans, D. V.} 1992 {The radiation
     and scattering of surface waves by a vertical circular cylinder
     in a channel.}
     \textit{Phil.\ Trans.\ R. Soc.\ Lond.} A \textbf{338}, 325--357.

  \bibitem[Martin (1980)]{Martin80}
     \textsc{Martin, P. A.} 1980 {On the null-field equations for the exterior
     problems of acoustics.} \textit{Q.~J. Mech.\ Appl.\ Maths} \textbf{33},
     385--396.

  \bibitem[Rogallo (1981)]{Rogallo81}
     \textsc{Rogallo, R. S.} 1981 Numerical experiments in homogeneous
     turbulence. \textit{NASA Tech.\ Mem.} 81835.

  \bibitem[Ursell (1950)]{Ursell50}

     \textsc{Ursell, F.} 1950 Surface waves on deep water in the presence
     of a submerged cylinder I. \textit{Proc.\ Camb.\ Phil.\ Soc.} \textbf{46},
     141--152.

  \bibitem[van Wijngaarden (1968)]{Wijngaarden68}
     \textsc{Wijngaarden, L. van} 1968 On the oscillations near and at
     resonance in open pipes. \textit{J.~Engng Maths} \textbf{2}, 225--240.

\end{thebibliography}

\end{document}             % End of document.