Journal of Molecular and Engineering Materials (World Scientific)

%%
%% This is file `rotating.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% rotating.dtx  (with options: `package')
%% Copyright (C) 1994 Sebastian Rahtz and Leonor Barroca. All
%% rights reserved.  Permission is granted to to customize the
%% declarations in this file to serve the needs of your installation.
%% However, no permission is granted to distribute a modified version of
%% this file under its original name.
%%
\def\RInfo{1997/09/26, v2.13}
%% File: rotating.dtx Copyright (C) 1995 Sebastian Rahtz and Leonor Barroca
\ProvidesPackage{rotating_ws}[\RInfo\space Rotation package]
\NeedsTeXFormat{LaTeX2e}
\newif\if@rot@twoside
\DeclareOption{clockwise}{% this is for compatibility
 \AtBeginDocument{\setkeys{Grot}{units=360}}%
}
\DeclareOption{counterclockwise}{%
 \AtBeginDocument{\setkeys{Grot}{units=-360}}%
}
\DeclareOption{figuresleft}{%
  \@rot@twosidefalse
  \def\rot@LR{0}%
}
\DeclareOption{figuresright}{%
 \@rot@twosidefalse
 \def\rot@LR{-1}%
}
\DeclareOption*{\PassOptionsToPackage{\CurrentOption}{graphics}}
\ExecuteOptions{clockwise}
\if@twoside
  \@rot@twosidetrue
\else
  \@rot@twosidefalse
\fi
\def\rot@LR{-1}
\ProcessOptions
\RequirePackage{graphicx}
\RequirePackage{ifthen}
\def\rotdriver#1{\makeatletter\input{#1.def}\makeatother}
\newcounter{r@tfl@t}
\setcounter{r@tfl@t}{0}
\def\sideways{%
  \Grot@setangle{90}%
%  \Grot@setangle{180}% %%%%%% sundar %%%%%%
  \setbox\z@\hbox\bgroup\ignorespaces}
\def\endsideways{%
  \unskip\egroup
  \Grot@x\z@
  \Grot@y\z@
  \Grot@box
}
\def\turn#1{%
  \Grot@setangle{#1}%
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\def\endturn{%
  \unskip\egroup
  \Grot@x\z@
  \Grot@y\z@
  \Grot@box
}
\def\rotate#1{%
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\def\endrotate{%
  \unskip\egroup
  \Grot@x\z@
  \Grot@y\z@
  \wd0\z@\dp0\z@\ht0\z@
  \Grot@box
}
\def\turnbox#1#2{%
  \Grot@setangle{#1}%
  \setbox\z@\hbox{{#2}}%
  \Grot@x\z@\Grot@y\z@
  \wd0\z@\dp0\z@\ht0\z@
  \Grot@box
}
\newsavebox\rot@float@box
\def\@rotfloat#1{%
  \@ifnextchar[%
    {\@xrotfloat{#1}}%
    {\edef\@tempa{\noexpand\@xrotfloat{#1}[\csname fps@#1\endcsname]}\@tempa}%
}
\def\@xrotfloat#1[#2]{%
  \@float{#1}[#2]%
  \begin{lrbox}\rot@float@box
  \begin{minipage}\textheight
 }
\def\end@rotfloat{%
   \end{minipage}\end{lrbox}%
   \global\addtocounter{r@tfl@t}{1}%
   \rot@label{RF\ther@tfl@t}%
   \message{Adding sideways figure on }%
   \def\R@@page{\pageref{RF\ther@tfl@t}}%
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   \ht\rot@float@box\z@
   \dp\rot@float@box\z@
   \vbox to \textheight{%
    \setkeys{Grot}{units=360}%
    \if@rot@twoside
      \def\R@@page{\pageref{RF\ther@tfl@t}}%
    \else
      \let\R@@page\rot@LR
    \fi
    \ifthenelse{\isodd{\R@@page}}{%
    \message{right hand page}%
    \vfill
    \centerline{\rotatebox{90}{\box\rot@float@box}}%
         }{%
    \message{left hand page}%
%    \centerline{\rotatebox{-90}{\box\rot@float@box}}%
      \vfill %%%% Sundar %%%
   \centerline{\rotatebox{90}{\box\rot@float@box}}% %%% SS %%
         }%
 }%
   \end@float
}
\def\sidewaysfigure{\@rotfloat{figure}}
\let\endsidewaysfigure\end@rotfloat
\def\sidewaystable{\@rotfloat{table}}
\let\endsidewaystable\end@rotfloat
\def\@rotdblfloat{%
  \if@twocolumn\let\reserved@a\@rotdbflt\else\let\reserved@a\@rotfloat\fi
  \reserved@a}
\def\@rotdbflt#1{\@ifnextchar[{\@rotxdblfloat{#1}}{\@rotxdblfloat{#1}[tp]}}
\def\@rotxdblfloat#1[#2]{%
  \hsize\textwidth\linewidth\textwidth
  \@float{#1}[#2]%
  \begin{lrbox}\rot@float@box
  \begin{minipage}\textheight
}
\def\end@rotdblfloat{%
   \end{minipage}\end{lrbox}%
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   \message{Adding sideways figure on }%
   \def\R@@page{\pageref{RF\ther@tfl@t}}%
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   \advance\@tempdima by \dp\rot@float@box
\typeout{BOX wd: \the\wd\rot@float@box, ht: \the\ht\rot@float@box, dp: \the\dp\rot@float@box: so shift by .5 of \the\@tempdima}%
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   \vbox to \textheight{%
    \setkeys{Grot}{units=360}%
    \if@rot@twoside
      \def\R@@page{\pageref{RF\ther@tfl@t}}%
    \else
      \let\R@@page\rot@LR
    \fi
    \ifthenelse{\isodd{\R@@page}}{%
    \message{right hand page}%
    \vfill
    \hbox to\textwidth{\hfill\rotatebox{90}{\box\rot@float@box}\hfill}%
         }{%
    \message{left hand page}%
    \hbox to \textwidth{\hfill\rotatebox{-90}{\box\rot@float@box}\hfill}%
     \vfill
         }%
 }%
   \end@dblfloat
}
\newenvironment{sidewaystable*}
               {\@rotdblfloat{table}}
               {\end@rotdblfloat}
\newenvironment{sidewaysfigure*}
               {\@rotdblfloat{figure}}
               {\end@rotdblfloat}

\long\def \r@protected@write#1#2#3{%
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       \let\protect\@unexpandable@protect
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       \reserved@a
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      \if@nobreak\ifvmode\nobreak\fi\fi
}
\def\therpage{\arabic{page}}
\def\rot@label#1{\@bsphack
  \r@protected@write\@auxout{}%
         {\string\newlabel{#1}{{\@currentlabel}{\therpage}}}%
  \@esphack}
\def\rotcaption{\refstepcounter\@captype\@dblarg{\@rotcaption\@captype}}
\long\def\@rotcaption#1[#2]#3{%
\addcontentsline{\csname ext@#1\endcsname}{#1}{%
 \protect\numberline{\csname the#1\endcsname}{\ignorespaces #2}}%
  \par
  \begingroup
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  \endgroup}
\long\def\@makerotcaption#1#2{%
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    }\par
 \else%
    \rotatebox{90}{\box\@tempboxa}%
 \fi
 \hspace{12pt}%
}
\endinput
%%
%% End of file `rotating.sty'.

44 KB — too long to show here. It arrives with the project.

%\documentclass[draft]{ws-jmem}
\documentclass{ws-jmem}
\usepackage{multicol}
\begin{document}

\catchline{1}{1}{2012}{}{}
\markboth{Author's Name}{Paper Title}

\title{Your paper}

\author{FIRST AUTHOR\footnote{Typeset names in 11 pt Times Roman.
Use the footnote to indicate the present or permanent address of
the author.}}

\address{University Department, University Name, Address\\
City, State ZIP/Zone, Country\footnote{State completely without
abbreviations the affiliation and mailing address, including
country. Typeset in 11~pt Times italics.}\\
\email{fauthor\_id@domain\_name}
}

\author{SECOND AUTHOR}
\address{Group, Company, Address\\
City, State ZIP/Zone, Country\\
\email{sauthor\_id@domain\_name}}

\maketitle

\begin{history}
\received{Day Month Year}
\revised{Day Month Year}
\end{history}

\begin{abstract}
The abstract should summarize the context,
content and conclusions of the paper. It should not contain any
references or displayed equations. Typeset the abstract in 10~pt
Times Roman with baselineskip of 12 pt, making an indentation of
1.6~cm on the left and right margins.
\end{abstract}

\keywords{A list of 3--5 keywords are to be supplied.}

\begin{multicols}{2}
\section{The Main Text}
Contributions are to be in English. Authors are
encouraged to have their contribution checked for grammar.
American spelling should be used. Abbreviations are allowed but
should be spelt out in full when first used. Integers ten and
below are to be spelt out. Italicize foreign language phrases
(e.g.,~Latin, French).

The text is to be typeset in 11~pt Times \hbox{Roman},
single-spaced with baselineskip of 13~pt. Text area is 17.8~cm (7
inches) across and 24.4~cm (9.6 inches) deep (including running
title). Final pagination and insertion of running titles will be
done by the publisher.

\section{Major Headings}
Major headings should be typeset in boldface, with the
first letter of important words capitalized.

\subsection{Subheadings}
Subheadings should be typeset in bold italics, with the
first letter of first word capitalized and the\break section
number in boldface.

\subsubsection{Sub-subheadings}
Typeset in italics (section number to be in roman) and
capitalize the first letter of the first word only.

\vfill

\eject

\section*{Unnumbered Section}
Unnumbered sections can be obtained by using \verb|\section*|.

\subsection{Numbering and spacing}
Sections, subsections and sub-subsections are numbered
with Arabic numerals. Use double spacing before major and
subheadings, and single spacing\break after sub-subheadings.

\section{Lists of Items}
Lists are broadly classified into four major categories that can
randomly be used as desired by the author:
\begin{alphlist}[(d)]
\item Numbered list.
\item Lettered list.
\item Unnumbered list.
\item Bulleted list.
\end{alphlist}

\subsection{Numbered and lettered list}

\begin{enumerate}
\item{} The \verb|\begin{arabiclist}[]| command is used for the arabic
number list (arabic numbers appearing within parenthesis), e.g., (1),
(2), etc.

\smallskip

\item{} The \verb|\begin{romanlist}[]| command is used for the roman
number list (roman numbers appearing within parenthesis), e.g., (i),
(ii), etc.

\smallskip

\item{} The \verb|\begin{Romanlist}[]| command is used for the cap roman
\hbox{number list} (cap roman numbers appearing within parenthesis),
e.g., (I), (II), etc.

\smallskip

\item{} The \verb|\begin{alphlist}[]| command is used for the aliphatic
character list (aliphatic characters appearing within parenthesis),
e.g., (a), (b), etc.

\smallskip

\item{} The \verb|\begin{Alphlist}[]| command is used for the cap
aliphatic character list (cap aliphatic characters appearing within
parenthesis), e.g., (A), (B), etc.
\end{enumerate}
Note: For all the above mentioned lists (with the exception of
aliphatic character list), it is obligatory to enter the last
entry's number in the list within the square bracket, to enable unit
alignment.

\subsection{Bulleted and unnumbered list}

\begin{enumerate}
\item[] The \verb|\begin{itemlist}| command is used for the bulleted list.

\smallskip

\item[] The \verb|\begin{unnumlist}| command is used for creating the
  unnumbered list with the turnovers hangindent by 1\,pica.
\end{enumerate}

Lists may be laid out with each item marked by a dot:
\begin{itemlist}
\item item one,
\item item two.
\end{itemlist}

Items may also be numbered with lowercase\break Roman numerals:
\begin{romanlist}[(ii)]
\item item one
\item item two
    \begin{alphlist}[(a)]
    \item lists within lists can be numbered with lowercase Roman letters,
    \item second item.
    \end{alphlist}
\end{romanlist}

\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{Mathematical Formulae}
\paragraph{Inline:}
For in-line formulae use \verb|\( ... \)| or \verb|$ ... $|. Avoid
built-up constructions, for example fractions and matrices, in
in-line formulae. Fractions in inline can be typed with a solidus, e.g., \verb|x+y/z=0|.

\paragraph{Display:}
Displayed equations should be numbered consecutively in
the paper, with the number set flush right and enclosed in
parentheses. For numbered display formulae, use the displaymath
environment:

\verb|\begin{equation} ...| \verb|\end{equation}|.

For unnumbered display formulae, use
\verb|\[ ... \]|. For numbered displayed,
one-line formulae always use the equation environment. Do not use
\verb|$$ ... $$|. For example, the input for

\begin{equation}
\mu(n, t) = \frac{\sum\limits^\infty_{i=1}1
(d_i < t, N(d_i) = n)}
{\int\limits^t_{\sigma=0}1(N(\sigma)=n)d\sigma}
\label{eq1}
\end{equation}

\noindent is:

\begin{verbatim}
\begin{equation}
\mu(n, t) = \frac{\sum\limits^\infty_{i=1}1
(d_i < t, N(d_i) = n)}
{\int\limits^t_{\sigma=0}1
(N(\sigma)=n)d\sigma}
\label{eq1}
\end{equation}
\end{verbatim}

For displayed multi-line formulae, use the \verb|eqnarray| environment. For example,

\begin{verbatim}
\begin{eqnarray}
\zeta\mapsto\hat{\zeta}&=&a\zeta+b\eta\,,\\
\eta\mapsto\hat{\eta}&=&c\zeta+d\eta\,.
\label{eq2n3}
\end{eqnarray}
\end{verbatim}

\noindent produces:
\begin{eqnarray}
\zeta\mapsto\hat{\zeta}&=&a\zeta+b\eta\,,\\
\eta\mapsto\hat{\eta}&=&c\zeta+d\eta\,.
\label{eq2n3}
\end{eqnarray}

\LaTeX\ does not break long equations to make them fit within the
margins as it does with normal text. It is therefore up to you to
format the equation appropriately (if they overrun the margin). This
typically requires some creative use of an eqnarray to get elements
shifted to a new line and to align nicely, e.g.,

\begin{eqnarray}
\left(1+x\right)^n &=& 1 + nx + \frac{n\left(n-1\right)}{2!}x^2 \nonumber\\
  & & + \frac{n\left(n-1\right)\left(n-2\right)}{3!}x^3 \nonumber\\
  & & + \frac{n\left(n-1\right)\left(n-2\right)\left(n-3\right)}{4!}x^4 \nonumber\\
  & & + \ldots n{\rm th}.
\end{eqnarray}

Superscripts and subscripts that are words or abbreviations, as in
\( \pi_{\mathrm{low}} \), should be typed as roman letters;
this is done as \verb|\( \pi_{\mathrm{low}} \)|
instead of \( \pi_{low} \) done with \verb|\( \pi_{low} \)|

For geometric functions, e.g.,~exp, sin, cos, tan, etc., please use the macros
\verb|\sin, \cos, \tan|. These macros give proper spacing in mathematical formulae.

It is also possible to use the \AmS-\LaTeX{}
package, which can be obtained from the \AmS\ and various \TeX{}
archives.

Equations should be referred to in abbreviated form,
e.g.,~``Eq.~(\ref{eq1})'' or ``(2)''. In multiple-line equations,
the number should be given on the last line.

Displayed equations are to be centered on the page width. Standard
English letters like x are to appear as $x$ (italicized) in the
text if they are used as mathematical symbols. Punctuation marks
are used at the end of equations as if they appeared directly in
the text.

\section{Theorems and Definitions}
\LaTeX{} provides \verb|\newtheorem| to create new theorem
environments. The WSPC document styles contain a set of pre-defined
environments for theorems, definitions, proofs, remarks, etc., e.g.,
\begin{verbatim}
\begin{theorem}[Longo, 1998]
For a given $Q$-system...
\[
N = \{x \in N; T x = \gamma (x) T, T x^* =
\gamma (x^*) T\}\,,
\]
and $E_\Xi (\cdot) = T^* \gamma (\cdot) T$
gives a conditional expectation onto $N$
\end{theorem}
\end{verbatim}

\noindent generates

\begin{theorem}[Longo, 1998]
For a given $Q$-system...
\[
N = \{x \in N; T x = \gamma (x) T, T x^* = \gamma (x^*) T\}\,,
\]
and $E_\Xi (\cdot) = T^* \gamma (\cdot) T$ gives a conditional
expectation onto $N$
\end{theorem}

\noindent and

\begin{verbatim}
\begin{theorem}
We have $\# H^2 (M \supset N) < \infty$ ...
\end{theorem}
\end{verbatim}

\noindent produces

\begin{theorem}
We have $\# H^2 (M \supset N) < \infty$ for an inclusion $M \supset
N$ of factors of finite index.
\end{theorem}

To add a new theorem-type environments to an article, use

\begin{verbatim}
\newtheorem{example}{Example}[section]

\let\Examplefont\upshape
\def\Exampleheadfont{\bfseries}
\end{verbatim}

\section{Floats}
\subsection{Tables}
Put tables and figures in text using the table and figure environments,
and position them near the first reference of the table or figure in
the text. Please avoid long captions in figures and tables.

\paragraph{Input:}

\begin{verbatim}
\begin{tablehere}
\tbl{... table caption ...}
{\begin{tabular}{@{}lcccr@{}}
\toprule
ID & $m$ & $R^2$ & $x_2$ & Times (s)\\
\colrule
11 & 100 & 3135 & 1138 & $<98$\\
...
15 & 100 & 3135 & 1138 & $<102$\\
\botrule
\end{tabular}}
\label{tbl1}
\end{tablehere}
\end{verbatim}

\noindent {\bf Output:}

\begin{tablehere}%[H]
\tbl{... table caption ...}
{\begin{tabular}{@{}lcccr@{}}
\toprule
ID & $m$ & $R^2$ & $x_2$ & Times (s)\\ \colrule
11 & 100 & 3135 & 1138 & $<98$\\
12 & 100 & 3135 & 1138 & $<99$\\
13 & 100 & 3135 & 1138 & $<100$\\
14 & 100 & 3135 & 1138 & $<101$\\
15 & 100 & 3135 & 1138 & $<102$\\ \botrule
\end{tabular}}\label{tab:smtab}
\end{tablehere}

By using \verb|\tbl| command in table environment, long captions will be justified to the table width while the short or single line captions are centered.
\verb|\tbl{table caption}{tabullar environment}|.

For most tables, the horizontal rules are obtained by:

\begin{tabular}{ll}
{\bf toprule} & one rule at the top\\
{\bf colrule}& one rule separating column heads\\ & from data cells\\
{\bf botrule}& one bottom rule\\
{\bf Hline} & one thick rule at the top and\\ & bottom of the tables with multiple\\& column heads\\
\end{tabular}

To avoid the rules sticking out at either end
of the table, add \verb|@{}| before the first and after the last descriptors, e.g., {@{}llll@{}}. Please avoid vertical rules in tables.
But if you think the vertical rule is a must,
you can use the standard \LaTeX{} \verb|tabular| environment.

Tables should have a uniform style throughout the
contribution. It does not matter how you place the
inner lines of the table, but we would prefer the border lines to be
of the style as shown in our sample tables.
For the inner lines of the table, it looks better
if they are kept to a minimum.

If tables need to extend over to a second page, the continuation
of the table should be preceded by a caption, e.g.,~``Table~1 ({\it
Continued})''.

\subsection{Figures}
A figure is obtained with the following commands

\begin{verbatim}
\begin{figurehere}
\centerline{\psfig{file=jmem-fig1.eps,
                             width=3.2cm}}
\caption{...caption here...} \label{fig1}
\end{figurehere}
\end{verbatim}

\begin{figurehere}
\centerline{\psfig{file=jmem-fig1.eps,width=3.2cm}}
\caption{ ... caption here ... }
\label{fig1}
\end{figurehere}

Figures are to be inserted in the text nearest their
first reference. If the
publisher is required to reduce the figures, ensure that the
figures (including lettering and numbers) are large enough to be
clearly seen after reduction.

Figures are to be sequentially numbered with\break Arabic
numerals. The caption must be placed below the figure. For those
figures with multiple parts which appear on different pages, it is
best to place the full caption below the first part, and have
e.g.,~``Fig.~1 ({\it Continued})'' below the last part.

Previously published material must be accompanied by written
permission from the author and publisher.

The preferred graphics formats are TIF and Encapsulated PostScript
(EPS) for any type of image. Our \TeX\ installation requires EPS,
but we can easily convert TIF to EPS. Many other formats, e.g., PICT
(Macintosh), WMF (Windows) and various proprietary formats, are not
suitable. Even if we can read such files, there is no guarantee that
they will look the same on our systems as on yours.

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

\begin{table*}
\tbl{Comparison of acoustic for frequencies for piston-cylinder problem.}
{\begin{tabular}{@{}cccc@{}} \toprule
& Analytical frequency & TRIA6-$S_1$ model &  \\
Piston mass & (Rad/s) & (Rad/s) & \% Error$^{\text a}$ \\ \colrule
1.0\hphantom{00} & \hphantom{0}281.0 & \hphantom{0}280.81 & 0.07 \\
0.1\hphantom{00} & \hphantom{0}876.0 & \hphantom{0}875.74 & 0.03 \\
0.01\hphantom{0} & 2441.0 & 2441.0\hphantom{0} & 0.0\hphantom{0} \\
0.001 & 4130.0 & 4129.3\hphantom{0} & 0.16\\ \botrule
\end{tabular}
}
\begin{tabnote}
$^{\text a}$ Sample table footnote.\\
\end{tabnote}
\label{tbl2}
\end{table*}

\begin{figure*}
\begin{center}
\psfig{file=jmem-fig2.eps,width=5.5in}
\end{center}
\caption{The bifurcating response curves of system
$\alpha=0.5$, $\beta=1.8$, $\delta=0.2$, $\gamma=0$: (a)
$\mu=-1.3$ and (b) $\mu=0.3$.}
\label{fig2}
\end{figure*}

We recommend the use of single column-wide tables and figures wherever
possible. Tables and \hbox{figures} spanning two columns can be typeset
with the following environments:

\begin{itemlist}
\item \verb|table*| and
\item \verb|figure*|.
\end{itemlist}

\noindent {\bf Example:}\\[-3pt]

\noindent {\it Table:}
\begin{verbatim}
\begin{table*}
\tbl{Comparison of ...}
{\begin{tabular}{@{}cccc@{}} \toprule
Piston mass & Analytical ...\\ \colrule
1.0... \\
0.001... \\ \botrule
\end{tabular}}
\begin{tabnote}
$^{\text a}$ Sample table footnote.\\
\end{tabnote} \label{tbl2}
\end{table*}
\end{verbatim}

\noindent {\it Figure:}
\begin{verbatim}
\begin{figure*}
\begin{center}
\psfig{file=jmem-fig2.eps,width=6in}
\end{center}
\caption{The bifurcating response ...}
\label{fig2}
\end{figure*}
\end{verbatim}

\begin{sidewaystable*}
\tbl{Positive values of $X_0$ by eliminating $Q_0$ from
Eqs.~(15) and (16) for different values of the parameters $f_0$,
$\lambda_0$ and $\alpha_0$ in various dimension.}
{\begin{tabular}{@{}ccccccccccc@{}}
\toprule\\[-8pt]
{} &  & &\multicolumn{8}{c}{Positive roots ($X_0$)}\\[3pt]
\cline{4-11}\\[-6pt]
$f_0$ & $\lambda_0$ & $\alpha_0$ &4D &5D &6D &7D &8D &10D &12D &16D\\[3.5pt]
\hline\\[-6pt]
$-0.033$ &0.034 &0.1
&6.75507, &4.32936, &3.15991, &2.44524,
&1.92883, &0.669541, &--- &---\\[3.5pt]
&&&1.14476 &1.16321 &1.1879
&1.22434 &1.29065
&0.415056\\[7pt]
$-0.1$ &0.333 &0.2
&3.15662, &1.72737, &--- &--- &--- &--- &--- &---\\[3.5pt]
&&&1.24003 &1.48602\\[7pt]
$-0.301$ &0.302 &0.001
&2.07773, &--- &--- &--- &--- &--- &--- &---\\[3.5pt]
&&&1.65625\\[7pt]
$-0.5$ &0.51 &0.001
&--- &--- &--- &--- &--- &--- &--- &---\\[7pt]
0.1 &0.1
&2&1.667, &1.1946
&--- &--- &--- &--- &--- &---\\[3.5pt]
&&&0.806578 &0.858211\\[7pt]
0.1 &0.1 &10
&0.463679 &0.465426 &0.466489 &0.466499
&0.464947 &0.45438 &0.429651 &0.35278\\[7pt]
0.1 &1
&0.2
&--- &--- &--- &--- &--- &--- &--- &---\\[7pt]
0.1 &5
&5&--- &--- &--- &--- &--- &--- &--- &---\\[7pt]
1 &0.001 &2
&0.996033, &0.968869, &0.91379, &0.848544,&0.783787, &0.669541,
&0.577489, &---\\[3.5pt]
&&&0.414324 &0.41436 &0.414412 &0.414489 &0.414605
&0.415056 &0.416214\\[7pt]
&0.001 &0.2
&0.316014, &0.309739, &--- &--- &--- &--- &--- &---\\[3.5pt]
&&&0.275327 &0.275856\\[7pt]
&0.1
&5
&0.089435 &0.089441 &0.089435 &0.089409 &0.08935
&0.089061 &0.088347 &0.084352\\[7pt]
&1 &3&0.128192 &0.128966 &0.19718, &0.169063, &0.142103,
&--- &--- &---\\[3.5pt]
&&&& &0.41436 &0.414412 &0.414489\\[3pt]
\Hline
\end{tabular}}\label{tbl3}
\end{sidewaystable*}

Very large figures and tables should be placed on a separate page
by themselves. Landscape tables and figures can be typeset with the following environments:

\begin{itemlist}
\item \verb|sidewaystable| and
\item \verb|sidewaysfigure|.
\end{itemlist}

\section{Citations}
We have used \verb|\bibitem| to produce the bibliography. Citations in the
text use the labels defined in the bibitem declaration, e.g.,
the first paper by Golub\cite{Golub89} is cited using the command
\verb|\cite{Golub89}|. Bibitem labels should be unique.

For multiple citations, do not use \verb|\cite{1}|, \verb|\cite{2}|, but use
\verb|\cite{1,2}| instead.

When the reference forms part of the sentence, it should not
be typed in superscripts, e.g., ``One can show from
Ref.~\refcite{Hall97} that $\ldots$'', ``See
Refs.~\refcite{Lie00} and \refcite{Lie01} for more details.''
This is done using the LaTeX command: ``\verb|Ref.~\refcite{name}|''.

\nonumsection{Note Added} \noindent A note can be added before
Acknowledgments.

\nonumsection{Acknowledgments} \noindent This part should come
before References. Funding information may also be included here.

\setcounter{equation}{0}
\renewcommand{\theequation}{A.\arabic{equation}}
\nonumsection{Appendices}
\noindent Appendices should be used only
when absolutely necessary. They should come immediately before
References. If there is more than one appendix, number them
alphabetically. Number displayed equations occurring in the
appendix as (\ref{aeqn1}), (A.2), etc.:
\begin{equation}
\mu(n, t) = \frac{\sum\limits^\infty_{i=1} 1(d_i < t, N(d_i) = n)}
{\int\limits^t_{\sigma=0} 1(N(\sigma) = n)d\sigma}\,\,
.\label{aeqn1}
\end{equation}

\section*{References}
Article titles should be stated in full but standard abbreviations
should be used for journal names. Typeset reference in 10 pt Times
Roman, single spaced with baselineskip of 12 pt.

\subsection*{Examples}

\subsubsection*{Journal reference:}

\hangindent=1.12em A. P\"arssinen, J. Jussila, J. Ryyn\"anen, L. Sumanen and
K. A. I. Halonen, {\it IEEE J. Solid-State Circuits} {\bf
34}, 1893 (1999).

\subsubsection*{Book reference:}

\hangindent=1.12em G. H. Golub and C. F. Van Loan, {\it Matrix
Comptations}, 2nd edn. (Johns Hopkins University Press, USA, 1989).

\noindent\hangindent=1.12em D. Y. C. Lie and K. L. Wang, {\it Handbook of}
\hbox{\it Advanced} {\it Electronic and Photonic Devices and
Materials}, ed.~H. S. Nalwa, Chapter~1 (\hbox{Academic}
Press, San Diego, 2000), pp.~1--69.

\noindent\hangindent=1.12em D. Y. C. Lie and K. L. Wang, {\it Semiconductors and
Semimetals}, eds.~R. Willardson and E. Weber, Chapter~4
(Academic Press, San Diego, 2001), pp.~151--197.

\subsubsection*{Proceedings reference:}
\hangindent=1.12em B. Haller, M. Streiff, U. Fleisch and R. Zimmermann,
Hardware implementation of a systolic \hbox{antenna}
array signal processor based on CORDIC arithmetic, {\it Proc.
Int. Conf. Acoust. Speech \hbox{Signal} Proc.} (1997),
pp. 4141--4144.

\begin{thebibliography}{9}
\bibitem{Golub89} G. H. Golub and C. F. Van Loan, {\it Matrix
Comptations}, 2nd edn. (Johns Hopkins University Press, USA, 1989).

\bibitem{Hall97} B. Haller, M. Streiff, U. Fleisch and R. Zimmermann,
Hardware implementation of a systolic \hbox{antenna}
array signal processor based on CORDIC arithmetic, {\it Proc.
Int. Conf. Acoust. Speech \hbox{Signal} Proc.} (1997),
pp. 4141--4144.

\bibitem{Lie00} D. Y. C. Lie and K. L. Wang, {\it Handbook of}
\hbox{\it Advanced} {\it Electronic and Photonic Devices and
Materials}, ed.~H. S. Nalwa, Chapter~1 (\hbox{Academic}
Press, San Diego, 2000), pp.~1--69.

\bibitem{Lie01} D. Y. C. Lie and K. L. Wang, {\it Semiconductors and
Semimetals}, eds.~R. Willardson and E. Weber, Chapter 4
(Academic Press, San Diego, 2001), pp.~151--197.

\bibitem{Par99} A. P\"arssinen, J. Jussila, J. Ryyn\"anen, L. Sumanen and
K. A. I. Halonen, {\it IEEE J. Solid-State Circuits} {\bf
34}, 1893 (1999).
\end{thebibliography}
\end{multicols}
\end{document}