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%\documentclass[draft]{ws-procs10x7}
\documentclass{ws-procs10x7}

\begin{document}

\title{Instructions for Producing a Camera-Ready Manuscript
using Latex for Publication in Conference
Proceedings\footnote{\uppercase{T}his work is supported by etc, etc.}}

\author{C.~E. JIM and O. SPINAS\footnote{\uppercase{W}ork partially
supported by grant 2-4570.5 of the \uppercase{S}wiss
\uppercase{N}ational \uppercase{S}cience \uppercase{F}oundation.}}

\address{World Scientific Publishing Co., Inc, \\
1060 Main Street, \\
River Edge, NJ 07661, USA\\
E-mail: wspc@wspc.com}

\author{T.~R. SIMON, S. CLARKE and S.~N. GERALD}

\address{World Scientific Publishing Co Ltd, \\
57 Shelton Street, \\
London WC2H 9HE, England\\
E-mail: wspc@wspc.ox.uk}

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\maketitle

\abstracts{
This is where the abstract should be placed. It should consist
of one paragraph giving a concise summary of the material in
the article below.  Replace the title, authors, and addresses
within the curly brackets with your own title, authors, and
addresses. You may have as many authors and addresses as you
like. It is preferable not to use footnotes in the abstract or
the title; the acknowledgments for funding bodies etc. are to
be placed in a separate section at the end of the text. Please see
the appendices too.}

\section{Guidelines}
\subsection{Producing the Hard Copy}\label{subsec:prod}
The hard copy may be printed using the advice given in the file
{\em procs-readme$\_$2e.txt}, which is repeated in this section.
Total there are five files given.
%\footnote{You can obtain these
%files from our WWW pages at: {\sf
%http://www.wspc.com.sg/others/style\_files/proceedings/proceedings\_style\_files.shtml}}

\begin{enumerate}
\item {\em procs-readme10x7$\_$2e.txt} --- the preliminary guide.

\item{\em procs-fig1.eps} --- the figure/image file.

\item {\em ws-procs10x7.cls} --- the class file that provides the higher
level latex commands for the proceedings. Don't change these parameters.

\item {\em ws-procs10x7.tex} --- the main text.

\item {\em ws-procs10x7.pdf} --- sample pages of the above text.
\end{enumerate}

You can delete our sample text and replace it with your own
contribution to the volume, however we recommend that you keep an
initial version of the file for reference.  Strip off any mail
headers and then latex the tex file.  The command for latexing is
{\sf latex ws-procs10x7}, do this twice to sort out
the cross-referencing.

If you wish to use some other form of word-processor, some
guidelines are given in Sec.~\ref{subsec:wpp} below.  These
files will work with standard latex2e. If there is an
abbreviation defined in the new definitions at the top of the
file {\em ws-procs10x7.tex} that conflicts with one of your own
macros, then delete the appropriate command and revert to
longhand. Failing that, please consult your local texpert to
check for other conflicting macros that may be unique to your
computer system.  Page numbers are included at the top of the
page for your guidance. Do not worry about the final pagination
of the volume which will be done after you submit the paper.

\subsection{Using Other Word-Processing Packages}\label{subsec:wpp}
If you want to use some other form of word-processor to
construct your output, and you are using the final hard copy version
of these files as guidelines; then please follow the style given
here:-

\begin{romanlist}
\item The title will be in 10~pt boldface and in uppercase; the leading or
$\backslash$baselineskip is on 13~pt.

\item The authors' names will be in 9~pt roman and in uppercase.

\item The addresses will be in 9~pt and $\backslash$baselineskip
is on 11~pt.

\item The abstract text will be in 8~pt and
$\backslash$baselineskip is on 10~pt.
It should be indented on both sides by 0.25~inch from
the main body of the text.

\item All three section heads are in 10~pt:-

\noindent
1st section heading is in boldface number run on to boldface
title and to set in uppercase and lowercase.

\noindent
2nd section heading is in boldface number run on to bold-italic
title and to set in uppercase and lowercase.

\noindent
3rd section heading is roman number run on to italic title and
to set in initial cap only.

\item Figure captions is to set in 8~pt and $\backslash$baselineskip
is on 10~pt.

\item Table caption, table column heads and table body text
is to set in 8~pt and $\backslash$baselineskip is on 10~pt.

\item Footnote text and reference text is to set in 8~pt.

\end{romanlist}

The book trim size will be 10 by 7 inches; however you should
submit your ms copy on standard A4 paper. The text area excluding
page numbers should be 8 by 5.5 inches. Paragraphs should have a
first line indented by about 0.25~inch except where the paragraph
is preceded by a heading. It is also important to reproduce the
spacing of the text and headings as shown here. Text should be
slightly more than single-spaced; use a baselineskip (which is the
average distance from the base of one line of text to the base of
an adjacent line) of 13~pt and 10~pt for footnotes, table captions
and figure captions.

\subsection{Headings, Text and Equations}
Please preserve the style of the headings, text font and line
spacing in order to provide a uniform style for the
proceedings volume.

Equations should be centered and numbered consecutively, as in
Eq.~(\ref{eq:murn}), and the {\em eqnarray} environment may be
used to split equations into several lines, for example in
Eq.~(\ref{eq:sp}), or to align several equations.  An alternative
method is given in Eq.~(\ref{eq:spa}) for long sets of equations
where only one referencing equation number is wanted.

In latex, it is simplest to give the equation a label, as in
Eq.~(\ref{eq:murn}) where we have used
{\em $\backslash$label\{eq:murn\}} to identify the equation.
You can then use the reference {\em $\backslash$ref\{eq:murn\}}
when citing the equation in the text which will avoid
the need to manually renumber equations due to later changes. (Look at
the source file for some examples of this.)

The same method can be used for referring to sections
and subsections.

\subsection{Tables}
The tables are designed to have a uniform style throughout the
paper. It does not matter how you choose to place
the inner lines of the table, but we would prefer the border
lines to be of the style shown in Table~\ref{tab1}.
The top and bottom horizontal lines should be single
(using {\em $\backslash$hline}), and there should be single
vertical lines on the perimeter, (using
{\em  $\backslash$begin\{tabular\}\{$|...|$\}}).  For the inner
lines of the table, it looks better if they are kept to a
minimum. We've chosen a more complicated example purely as an
illustration of what is possible.

The caption heading for a table should be placed at the
top of the table.

\begin{table}[ph]
\tbl{First five normalized natural frequencies of a clamped clamped
beam with internal hinge at 4 different locations.\vspace*{1pt}}
{\footnotesize
%\tabcolsep7pt
%\begin{tabular}{@{}crrrr@{}}
\begin{tabular}{|c|r|r|r|r|}
\hline
{} &{} &{} &{} &{}\\[-1.5ex]
{} & $A=0.56$ & $B=0.69$ & $C=0.75$ & $D=0.100$\\[1ex]
\hline
{} &{} &{} &{} &{}\\[-1.5ex]
$AB_1$ &14.0640 &18.5620 &22.0817 &18.90732\\[1ex]
$AC_2$ &61.6728 &44.7844 &44.5884 &60.17496\\[1ex]
$AD_3$ &88.1380 &118.1564 &101.2240 &120.72693\\[1ex]
$DB_4$ &199.8594 &173.1269 &194.4907 &188.75258\\[1ex]
$DA_5$ &246.7889 &255.9483 &284.6633 &262.24264\\[1ex]
\hline
\end{tabular}\label{tab1} }
\vspace*{-13pt}
\end{table}

\subsection{Figures/Illustrations/Images}
Authors are advised to prepare their figures in black and white.
Please prepare the figures in high resolution (300 dpi) for half-tone
illustrations or images. Half-tone pictures must be sharp enough
for reproduction, otherwise they will be rejected.

Colour images are allowed only when they are stated in the
publishing agreement. The colour images must be prepared in CMYK
(Cyan, Magenta, Yellow and Black). RGB colour images are not acceptable
for colour separation.

It is best to embed the figures in the text where they are first
cited, e.g. see Figure~\ref{inter}. Please ensure that all labels in the
figures are legible irregardless of whether they are drawn
electronically or manually.

If you wish to `embed' a postscript figure in the file, then remove
the \% mark from the declaration of the postscript figure
{\em epsfbox} within the figure description and change the filename
to an appropriate one. Also remove the comment \% mark from the
{\em epsfxsize} command and specify the required width of the figure.
System will automatically enlarge or reduce the figure based on the
{\em x-size} provided with {\em epsfxsize} command.  You may need to
play around with this as different computer systems appear to use
different commands. If you like to have an empty box size to the image
you can just fill in the {\em x, y size} against the command
{\em figurebox}, which has three arguments. The third argument is
for actual figure name.

\begin{figure}[ht]
%\epsfxsize=10cm   %width of figure - will enlarge/reduce the figures
%\epsfbox{fig3.eps}
%\figurebox{2cm}{3cm}{} %to have a box alone
\centerline{\epsfxsize=3.9in\epsfbox{procs-fig1.eps}}
\caption{First 3 normalized frequencies versus release location for
clamped simply supported beam with internal slide
release. \label{inter}}
\end{figure}

Next adjust the scaling of the figure until it is correctly
positioned, and remove the declarations of the lines and any
anomalous spacing.

If you prefer to submit glossy prints of figures, then it is very
important to leave sufficient blank spaces in your manuscript
to accommodate your figures. Send the hard copy of the figures
on separate pages with clear instructions on where to match
them to the repsective blank spaces in the final hard copy
text. Please ensure that each figure is correctly
scaled (ensure legibility) to fit the space available.

The caption heading for a figure should be placed below
that figure.

\subsection{Limitations on the Placement of Tables,
Equations and Figures}\label{sec:plac}
Very large figures and tables should be placed on a page by themselves. One
can use the instruction {\em $\backslash$begin\{figure\}$[$h$]$} or
{\em $\backslash$begin\{table\}$[$h$]$}
to position these, and they will appear on a separate page devoted to
figures and tables. We would recommend making any necessary
adjustments to the layout of the figures and tables
only in the final draft. It is also simplest to sort out line and
page breaks in the last stages.

\subsection{Acknowledgments, Appendices and the Bibliography}
If you wish to acknowledge funding bodies etc.,
the acknowledgments may be placed in a separate section at the end of the
text, before the Appendices. This should not be numbered so use
{\em $\backslash$section$\ast$\{Acknowledgments\}}.

It is preferable not to have Appendices in a brief article, but if
more than one Appendix is necessary then set headings as Appendix~A,
Appendix~B, etc. It is to type as
{\em $\backslash$section$\ast$\{Appendix~A\}}.

\subsubsection{Footnotes and the citation}
Footnotes are denoted by a character superscript
in the text,\footnote{Just like this one.} and references
are denoted by a number superscript.
We have used {\em $\backslash$bibitem} to produce the bibliography.
Citations in the text use the labels defined in the bibitem declaration,
for example, the first paper by Jarlskog\cite{ja} is cited using the command
{\em $\backslash$cite\{ja\}}.

If you use square brackets for citation e.g. [2] please note that
the citation should appear before the punctuation mark,
e.g. [2], in the body text.

\subsection{Final Manuscript}
The final hard copy that you submit must be absolutely clean and unfolded.
It will be printed directly without any further editing. Use a printer
that has a good resolution printout (600 dpi or higher). There should
not be any corrections on the printed pages, nor should adhesive
tape cover any lettering. Photocopies are not acceptable.

Your manuscript will not be reduced or enlarged when filmed so please
ensure that indices and other small pieces of text are legible.

\section{Sample Mathematical Text}
The following may be (and has been) described as `dangerously
irrelevant' physics. The Lorentz-invariant phase space integral for a
general n-body decay from a particle with momentum $P$ and mass $M$
is given by:

\noindent
\begin{equation}
I[(P - k_i)^2, m^2_i, M] = \frac{1}{(2 \pi)^5}
\int \frac{d^3 k_i}{2 \omega_i} + R\ {\underset A\to X} +
\delta^4(P - k_i)\,.
\label{eq:murn}
\end{equation}
The only experiment on $K^{\pm} \rightarrow \pi^{\pm} \pi^0 \gamma$
since 1976 is that of Bolotov {\it et al}.\cite{bu} There are two
necessary conditions required for any acceptable parametrization of
the quark mixing matrix. The first is that the matrix must be unitary,
and the second is that it should contain a CP violating phase
$\delta$. In Sec.~\ref{subsec:wpp} the connection between invariants
(of form similar to J) and unitarity relations will be examined
further for the more general $ n \times n $ case. The reason is that
such a matrix is not a faithful representation of the group, i.e.~it
does not cover all of the parameter space available
\begin{eqnarray}
T &=& {\rm Im}[V_{11} {V_{12}}^* {V_{21}}^* V_{22}]\nonumber \\[4pt]
&&{}+ {\rm Im}[V_{12} {V_{13}}^* {V_{22}}^* V_{23}]\nonumber \\[4pt]
&&{}- {\rm Im}[V_{33} {V_{31}}^* {V_{13}}^* V_{11}]\, ,
\label{eq:sp}
\end{eqnarray}
where $k=j$ or $j+1$ and $\beta = \alpha$ or $\alpha+1$, but if
$k=j+1$, then $\beta \neq \alpha + 1$ and similarly, if $\beta =
\alpha + 1$ then $ k \neq j + 1$.\footnote{An example of a matrix
which has elements containing the phase variable $e^{i \delta}$ to
second order, i.e.~elements with a phase variable $e^{2i \delta}$ is
given at the end of this section.} There are only 162 quark mixing
matrices using these parameters which are to first order in the phase
variable $e^{i \delta}$ as is the case for the Jarlskog
parametrizations, and for which J is not identically zero.  It should
be noted that these are physically identical and form just one true
parametrization
\begin{equation}
\begin{array}{rcl}
{\bf K} & = & {\rm Im}[V_{j, \alpha} {V_{j,\alpha + 1}}^*
{V_{j + 1,\alpha}}^* V_{j + 1, \alpha + 1} ] \\[4pt]
&&{}+ {\rm Im}[V_{k, \alpha + 2} {V_{k,\alpha + 3}}^*
{V_{k + 1,\alpha + 2}}^* V_{k + 1, \alpha + 3} ]  \\[4pt]
&&{}+ {\rm Im}[V_{j + 2, \beta} {V_{j + 2,\beta + 1}}^*
{V_{j + 3,\beta}}^* V_{j + 3, \beta + 1} ]  \\[4pt]
&&{}+ {\rm Im}[V_{k + 2, \beta + 2} {V_{k + 2,\beta + 3}}^*
{V_{k + 3,\beta + 2}}^* V_{k + 3, \beta + 3}] \\[4pt]
{\bf M} & = & {\rm Im}[{V_{j, \alpha}}^* V_{j,\alpha + 1}
V_{j + 1,\alpha} {V_{j + 1, \alpha + 1}}^* ]  \\[4pt]
&&{}+ {\rm Im}[V_{k, \alpha + 2} {V_{k,\alpha + 3}}^*
{V_{k + 1,\alpha + 2}}^* V_{k + 1, \alpha + 3} ]  \\[4pt]
&&{}+ {\rm Im}[V_{k + 2, \beta + 2} {V_{k + 2,\beta + 3}}^*
{V_{k + 3,\beta + 2}}^* V_{k + 3, \beta + 3}]\,.
\end{array}\label{eq:spa}
\end{equation}

For this point $s\in S$, ${\mathcal X}_s$ satisfies all conditions
(a), (b) and (c). So, if the Theorem~\ref{theos} holds for
${\mathcal X}_s$, then we can find a point $s'\in S_1^0\cap V$ where
${\mathcal X}_{s'}$ is projective. Since numerical equivalence and
homological equivalence coincide on $Y$.

\begin{theorem} \label{theos}
Let $V$ be a closed complex analytic subvariety of a complex
hyperbolic space form of finite volume$.$ Then the Gauss mapping for
$V$ is non-degenerate unless $V$ is totally geodesic$.$
\end{theorem}

Let $V$ be a $k$-dimensional complex submanifold of ${\mathbb P}^n$
and $\gamma: V\rightarrow {\mathbb G}(k,n)$ be the Gauss mapping. At a
point $x\in V$, Lemma~\ref{ste} let $\hat{T}_x(V)$ be the $(k +
1)$-dimensional affine tangent space of $V$ at $x$ so that the tangent
space of $V$.

\begin{lemma}  \label{ste}
There exists a point $(a;b)\in \Delta^m\times {\mathbb C}^l$ and an
open neighborhood $W$ of $(a;b)$ such that $F(a;b)\in \partial
{\mathbb B}^n$. A closed complex analytic subvariety of
a complex torus has degenerate Gauss mapping if and only
if it is invariant under the translation by a complex subtorus.
\end{lemma}

Let $F$ be a symmetric and reflexive Borel relation on the standard
Borel space $X$. $F$ is {\it locally finite} if for all $x\in X,
F(x)=\{y\in X: yFx\}$ is finite.

\section*{Acknowledgments}
This is where one acknowledge funding bodies etc.  Note that section
numbers are not required for Acknowledgments, Appendix or References.

\appendix

\section{First Appendix}

\renewcommand{\theequation}{A.\arabic{equation}}

Appendices should be used only when absolutely necessary. They
should come before the References. If there is more than one
appendix, number them alphabetically. Number displayed equations
occurring in the Appendix in this way, e.g.~(\ref{appen1}), (A.2),
etc.
\begin{equation}
\mu(n, t) = {\sum^\infty_{i=1} 1(d_i < t, N(d_i) = n) \over
\int^t_{\sigma=0} 1(N(\sigma) = n)d\sigma}\,. \label{appen1}
\end{equation}

\section{Second Appendix}

\renewcommand{\theequation}{B.\arabic{equation}}

References in the text are to be numbered consecutively in Arabic
numerals, in the order of first appearance. They are to be typed in
superscripts after punctuation marks, e.g.

(1) $ \qquad $ ``$\ldots$ in the statement.\cite{xyan}''

(2) $ \qquad $ ``$\ldots$ have proven\cite{xyan}
that this equation $\ldots$''

\noindent
This is done using the command: ``$\backslash$cite\{name\}''.

When the reference forms part of the sentence it should not
be superscripts, e.g.

(1) $ \qquad $  ``One can deduce from Ref.~\refcite{ppz} that $\ldots$''

(2) $ \qquad $  ``See Refs.~\refcite{ja}--\refcite{ma}, \refcite{bu}
and \refcite{xyan} for more details.''

(3) $ \qquad $  ``We refer the readers to Ref.~\refcite{xyan}.''

\noindent
This is done using the command: ``Ref.$\sim$$\backslash$refcite\{name\}''.

\vspace*{8pt}
\noindent
(Alternatively you may opt to use the default square bracket [\ ]
citation throughout.)

\section{Footnotes}
Footnotes should be numbered sequentially in superscript lowercase
roman letters.\footnote{Footnotes should be typeset in 8~pt Times
roman at the bottom of the page.}

\section{Standard Abbreviations}
\begin{alphlist}[(d)]
\item Do not abbreviate the first word of any sentence:

$ \qquad $ ``Figure~2 shows us $\ldots.$''

\item Some abbreviation:

$ \qquad $ ` figure ' $ \, $ = $ \, $  ` Fig. '

$ \qquad $ ` figures ' $ \, $ = $ \, $ ` Figs. '

$ \qquad $ ` equation ' $ \, $ = $ \, $ ` Eq. '

$ \qquad $ ` equations ' $ \, $ = $ \, $ ` Eqs. '

$ \qquad $ ` Section~5 ' $ \, $ = $ \, $ ` Sec.~5 '

$ \qquad $ ` Sections~5 and 6 ' $ \, $ = $ \, $ ` Secs.~5 and 6 '

$ \qquad $ ` for example ' = ` e.g. '

\noindent
Note that the first letter is capitalized. There is also a dot.

\item When it is not appropriate, DO NOT abbreviate. Hence the word `Table'
is not abbreviated. We also do not write `Eq. of motion'.

\item Depends on authors' preference, sometimes ` Eq. ' and ` Eqs. '
are not used at all because it is understood that it is an equation.
For example,

\begin{center}
We can see a summation and an integration in (\ref{appen1}).
\end{center}
\end{alphlist}

\section{Single Quotation and Double Quotations}
Use double quotation when possible so that there are fewer mix-ups with
differentiation and `prime'. For quotation within a
quotation you may use the single-quotation.

Open-quotation ` is located at the top left-hand corner of the keyboard.
Close-quotation ' is near the ENTER-key of the keyboard.

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%Use this if your figures are put in a subdirectory having the same
%name as the main latex file, ie:
%
%      ws-procs10x7/procs-fig1.eps
%      ws-procs10x7/procs-fig2.eps
%      ws-procs10x7/procs-fig3.eps
%      ws-procs10x7/procs-fig4.eps
%      etc.
%
%\begin{figure}[htbp] %ORIGINAL SIZE: width=1.4TRUEIN; height=1.5TRUEIN
%\figurebox{}{}{procf1} %100 percent
%\caption{Labeled tree {\it T}.}
%\end{figure}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


\begin{thebibliography}{0}
\bibitem{ja} M. Barranco and J. R. Buchler, {\it Phys. Rev.}
{\bf C34}, 1729 (1980).

\bibitem{ppz} G. Pang and H. Zhao, {\it J. Phys. A: Math. Gen.}
{\bf 25}, L527 (1992).

\bibitem{ma} H. M\"uller and B. D. Serot, {\it Phys. Rev.} {\bf C52},
2072 (1995).

\bibitem{bu} V. Baran, M. Colonna, M. Di Toro and A. B. Larionov,
{\it Nucl. Phys.} {\bf A632}, 287 (1998).

\bibitem{bd} V. Baran, M. Colonna, M. Di Toro and V. Greco,
{\it Phys. Rev. Lett.} {\bf 86}, 4492 (2001).

\bibitem{xyan} X. Yan, {\it Phys. Rev.} {\bf E61}, 4745 (2000).

\end{thebibliography}

\end{document}
