% Style file `IEEEtran.sty' created by Gerry Murray, June 1992, 
% gmurray@ieeepub.org

% Modified 4/20/93 by Payman Arabshahi: Changed definition of
% abstract, commented out keyword definition and edited the
% section called 'Usage', changed definition of sectioning
% commands.

% This Is A Sample File Using The `IEEEtran.sty'

% \documentstyle[IEEEtran]{article}
% \begin{document}

% \title{Applications of Interval Computations}
% \author{A.B. Author}

% \maketitle

% \begin{abstract}
% This paper contains applications of interval computations\cite{Moore
% 1966}. 
% \end{abstract} 
%  

% \auffil{The author is with Interval University, Interval City,
% Intervalia. The author is specially thanful to Interval Science
% Foundations for the partial support.}

% \section{Some Applications}

% We consider applications of three types:
% \subsection{Good applications}
% Good applications are described in \cite{Moore 1966}.

% \subsection{Bad Applications}

% Bad applications are described in \cite{Author 1994}.

% \begin{thebibliography}{99}
% \bibitem{Moore 1966}
% R. E. Moore, {\bf Interval analysis}, Prentice Hall, Englewood Cliffs,
%  NJ, 1966. 

% \bibitem{Author 1994}
%  A.B. Author, ``Bad applications of interval computations'', {\it
%  International Journal of Bad Applications}, 1994, Vol. 8, pp.
%  666--669.
%    
% \end{thebibliography}
%

% \end{document}

% ************************************************************************

\textheight        23.3cm
\textwidth         16.2cm
\topmargin         -53pt
\oddsidemargin     2pt
\evensidemargin    0pt 
\parindent         1em

\pagestyle{empty}

\setlength\columnsep{0.17in}  
\newlength\titlebox \setlength\titlebox{1.75in}
\flushbottom
\twocolumn 



% Make \small be smaller (8 pt)

\def\small{\@setsize\small{9pt}\viiipt\@viiipt\let\@listi\@listI}


% Make \footnotesize be smaller (7 pt)

\def\footnotesize{\@setsize\footnotesize{8pt}\viipt\@viipt\let\@listi\@listI}

\def\abstract{\bf\mbox{{\boldmath $Abstract$}{\bf---}}}

\def\endabstract{\medskip\rm}

%\def\abst#1{{\boldmath%
%\mathchoice{\hbox{$\displaystyle#1$}}{\hbox{$\textstyle#1$}}%
%{\hbox{$\scriptstyle#1$}}{\hbox{$\scriptscriptstyle#1$}}}}%

% No contents needed

\def\addcontentsline#1#2#3{}


% Let's make the title

\def\maketitle{\par

 \begingroup

    \twocolumn[\@maketitle]% original

 \endgroup

 \let\maketitle\relax \let\@maketitle\relax

 \gdef\@author{}\gdef\@title{}}


\def\@maketitle{\vbox to \titlebox{\hsize\textwidth

 \linewidth\hsize \vskip 2ex plus 1fil minus 2ex \centering

 {\huge\bf \@title \par} \vskip 3ex plus 0.5fil minus 2ex

 {\def\and{\unskip\enspace{\rm and}\enspace}%

  \def\And{\end{tabular}\hss \egroup \hskip 1in plus 2fil 

           \hbox to 0pt\bgroup\hss \begin{tabular}[t]{c}\bf}%

  \hbox to \linewidth{\large \hfil\hfil

    \hbox to 0pt\bgroup\hss \begin{tabular}[t]{c}\@author 

			    \end{tabular}\hss\egroup

    \hfil\hfil}}

  \vskip 5ex plus 2fil minus 2ex}}


\newenvironment{abstracttext}{\hangindent=0pc\hangafter=-0\noindent
\boldmath\small\bf$\abst{Abstract}$---$\!$\small\bf}{\par\rm\normalsize
\unboldmath\medskip}

%\newenvironment{keywords}{\hangindent=0pc\hangafter=-0\noindent\boldmath
%\small\bf$\abst{Key Words}$---$\!$\small\bf}{\par\rm\normalsize\unboldmath}
%
%
%\newenvironment{yourbiography}[1]{\bigskip\bigskip\bigskip
%\hangindent=7pc\hangafter=-11\noindent\small{\bf#1} \parindent=1em}
%{\par\rm\normalsize}
%%
%
%

\long\def\auffil#1{\insert\footins{\footnotesize

    \interlinepenalty\interfootnotelinepenalty 

    \splittopskip\footnotesep

    \splitmaxdepth \dp\strutbox \floatingpenalty \@MM

    \hsize\columnwidth \@parboxrestore

    \rule{\z@}{\footnotesep}\ignorespaces\hskip 1em\parindent=1em #1\strut}}


% don't box citations, add space between multiple citations, separate with ;

% sections (I,II,...) and subsections (A,B,...) only

% with less space

%

\def\thesection {\Roman{section}.\kern-0.5em}
\def\thesubsection {\Alph{subsection}.\kern-0.5em}
\def\thesubsubsection {\thesubsection\kern0.5em\arabic{subsubsection}.
\kern-0.5em}
\def\section{\@startsection {section}{1}{\z@}{-1.5ex plus
-0.5ex minus -.2ex}{1.0ex plus 0.3ex minus .2ex}{\normalsize\sc\centering}}
\def\subsection{\@startsection{subsection}{2}{\z@}{-1.5ex plus
-0.2ex minus -.2ex}{0.8ex plus .2ex}{\normalsize\it\raggedright}}
\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{-1ex plus
-0.5ex minus -.2ex}{0.8ex plus .2ex}{\normalsize\it\raggedright}}

% Debug floats manually

\def\topfraction{1.0}

\def\dbltopfraction{1.0}

\def\bottomfraction{1.0}

\def\textfraction{0.0}

\def\floatpagefraction{0.8}

\def\dblfloatpagefraction{0.8}

% Footnotes

\footnotesep 8pt

\def\footnoterule{}

\setcounter{footnote}{0}

% Lists and paragraphs

\parskip 0pt

\parindent 1em

\leftmargini 2em

\labelwidth\leftmargini\advance\labelwidth-\labelsep

\def\@listI{\leftmargin\leftmargini\parsep 0pt\topsep 5pt plus 1pt minus 1pt

\itemsep 0pt\partopsep 0pt\listparindent 0pt}

\@listI

\abovedisplayskip 0pt plus2pt minus5pt%

\belowdisplayskip \abovedisplayskip

\abovedisplayshortskip  0pt plus3pt%   

\belowdisplayshortskip  0pt plus3pt minus3pt%

% Have Fun.