%%
%% This is file `ahs.cls',
%%
%% Journal of the American Helicopter Society
%%
%% based on article.cls v0.1 (for LaTeX2e).
%%
%% =========================================================
%% Please check the updated history at the end of this file.
%% =========================================================
%%
%% \CharacterTable
%%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%%   Digits        \0\1\2\3\4\5\6\7\8\9
%%   Exclamation   \!     Double quote  \"     Hash (number) \#
%%   Dollar        \$     Percent       \%     Ampersand     \&
%%   Acute accent  \'     Left paren    \(     Right paren   \)
%%   Asterisk      \*     Plus          \+     Comma         \,
%%   Minus         \-     Point         \.     Solidus       \/
%%   Colon         \:     Semicolon     \;     Less than     \<
%%   Equals        \=     Greater than  \>     Question mark \?
%%   Commercial at \@     Left bracket  \[     Backslash     \\
%%   Right bracket \]     Circumflex    \^     Underscore    \_
%%   Grave accent  \`     Left brace    \{     Vertical bar  \|
%%   Right brace   \}     Tilde         \~}
%%
\NeedsTeXFormat{LaTeX2e}[1996/06/01]
\ProvidesClass{ahs}[2004/12/17 v0.2 Journal of the American Helicopter Society document class]

\newcommand\@ptsize{}
\newif\if@restonecol
\newif\if@titlepage
\@titlepagefalse
\if@compatibility\else
\DeclareOption{a4paper}
   {\setlength\paperheight {297mm}%
    \setlength\paperwidth  {210mm}}
\DeclareOption{a5paper}
   {\setlength\paperheight {210mm}%
    \setlength\paperwidth  {148mm}}
\DeclareOption{b5paper}
   {\setlength\paperheight {250mm}%
    \setlength\paperwidth  {176mm}}
\DeclareOption{letterpaper}
   {\setlength\paperheight {11in}%
    \setlength\paperwidth  {8.5in}}
\DeclareOption{ahspaper}% AHS-Paper
   {\setlength\paperheight {11in}%
    \setlength\paperwidth  {8in}}
\DeclareOption{legalpaper}
   {\setlength\paperheight {14in}%
    \setlength\paperwidth  {8.5in}}
\DeclareOption{executivepaper}
   {\setlength\paperheight {10.5in}%
    \setlength\paperwidth  {7.25in}}
\DeclareOption{landscape}
   {\setlength\@tempdima   {\paperheight}%
    \setlength\paperheight {\paperwidth}%
    \setlength\paperwidth  {\@tempdima}}
\fi
\if@compatibility
  \renewcommand\@ptsize{0}
\else
\DeclareOption{9pt}{\renewcommand\@ptsize{0}}
\DeclareOption{10pt}{\renewcommand\@ptsize{0}}
\fi
\DeclareOption{11pt}{\renewcommand\@ptsize{1}}
\DeclareOption{12pt}{\renewcommand\@ptsize{2}}
\if@compatibility\else
\DeclareOption{oneside}{\@twosidefalse \@mparswitchfalse}
\fi
\DeclareOption{twoside}{\@twosidetrue  \@mparswitchtrue}
\DeclareOption{draft}{\setlength\overfullrule{5pt}}
\if@compatibility\else
\DeclareOption{final}{\setlength\overfullrule{0pt}}
\fi
\DeclareOption{titlepage}{\@titlepagetrue}
\if@compatibility\else
\DeclareOption{notitlepage}{\@titlepagefalse}
\fi
\if@compatibility\else
\DeclareOption{onecolumn}{\@twocolumnfalse}
\fi
\DeclareOption{twocolumn}{\@twocolumntrue}
\DeclareOption{leqno}{\input{leqno..clo}}
\DeclareOption{fleqn}{\input{fleqn.clo}}
\DeclareOption{openbib}{%
  \AtEndOfPackage{%
   \renewcommand\@openbib@code{%
      \advance\leftmargin\bibindent
      \itemindent -\bibindent
      \listparindent \itemindent
      \parsep \z@
      }%
   \renewcommand\newblock{\par}}%
}
%\ExecuteOptions{letterpaper,twoside,onecolumn,final}
\ExecuteOptions{letterpaper,twoside,onecolumn,final}% legalpaper
\ProcessOptions

\renewcommand\normalsize{%
   \@setfontsize\normalsize\@xiipt\@xiipt
   \abovedisplayskip 6\p@ \@plus2\p@ \@minus.5\p@
   \abovedisplayshortskip \z@ \@plus3\p@
   \belowdisplayshortskip 6\p@ \@plus3\p@ \@minus3\p@
   \belowdisplayskip \abovedisplayskip
   \let\@listi\@listI}
\normalsize
\newcommand\small{%
   \@setfontsize\small\@ixpt{11}%
   \abovedisplayskip 8.5\p@ \@plus3\p@ \@minus4\p@
   \abovedisplayshortskip \z@ \@plus2\p@
   \belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@
   \def\@listi{\leftmargin\leftmargini
               \topsep 4\p@ \@plus2\p@ \@minus2\p@
               \parsep 2\p@ \@plus\p@ \@minus\p@
               \itemsep \parsep}%
   \belowdisplayskip \abovedisplayskip
}
%
\newcommand\footnotesize{%
   \@setfontsize\footnotesize\@xiipt\@xiipt%\@viipt{8}%
   \abovedisplayskip 6\p@ \@plus2\p@ \@minus4\p@
   \abovedisplayshortskip \z@ \@plus\p@
   \belowdisplayshortskip 3\p@ \@plus\p@ \@minus2\p@
   \def\@listi{\leftmargin\leftmargini
               \topsep 3\p@ \@plus\p@ \@minus\p@
               \parsep 2\p@ \@plus\p@ \@minus\p@
               \itemsep \parsep}%
   \belowdisplayskip \abovedisplayskip
}
\newcommand\scriptsize{\@setfontsize\scriptsize\@viipt\@viiipt}
\newcommand\tiny{\@setfontsize\tiny\@vpt\@vipt}
\newcommand\large{\@setfontsize\large\@xiipt{14}}
\newcommand\Large{\@setfontsize\Large\@xivpt{18}}
\newcommand\LARGE{\@setfontsize\LARGE\@xviipt{22}}
\newcommand\huge{\@setfontsize\huge\@xxpt{25}}
\newcommand\Huge{\@setfontsize\Huge\@xxvpt{30}}

\def\titlefont{\fontsize{18}{20}\selectfont\bfseries\leftskip0pt plus1fill\rightskip0pt plus1fill\mathversion{bold}}% \centering
\def\authorfont{\normalsize\selectfont\leftskip0pt plus1fill\rightskip0pt plus1fill}%\centering}
\def\affilfont{\normalsize\selectfont\leftskip0pt plus1fill\rightskip0pt plus1fill\itshape}
\def\footnotefont{\fontsize{8}{9}\selectfont\centering\itshape}
\def\abstractfont{\normalsize\selectfont\leftskip3pc\rightskip\leftskip\mathversion{bold}}
\def\sectionfont{\normalsize\selectfont\bfseries\centering\mathversion{bold}}
\def\subsectionfont{\normalsize\selectfont\bfseries\raggedright\mathversion{bold}}
\def\subsubsectionfont{\normalsize\selectfont\bfseries\itshape\raggedright\mathversion{normal}}
\def\paragraphfont{\normalsize\selectfont\itshape\mathversion{normal}}
\def\bibfont{\normalsize\selectfont\mathversion{normal}}
\def\nomenfont{\normalsize\selectfont\rightskip0pt plus1fill\mathversion{normal}}
\def\figcaptionfont{\reset@font\normalsize\selectfont\mathversion{normal}}%\centering}
\def\figcaptionnumfont{\reset@font\normalsize\selectfont\bfseries\mathversion{normal}}%\centering}
\def\Tablecaptionfont{\reset@font\normalsize\selectfont\mathversion{normal}}% 
\def\tablecaptionfont{\reset@font\normalsize\selectfont\leftskip\tableleftskip\rightskip\tablerightskip\mathversion{normal}}% 
\def\tablecaptionnumfont{\reset@font\normalsize\selectfont\bfseries\mathversion{normal}}% 
\def\tablefont{\reset@font\normalsize\selectfont\leftskip\tableleftskip\rightskip\tablerightskip}%
\def\TCHfont{\reset@font\normalsize\selectfont\mathversion{normal}}% 

\if@twocolumn
  \setlength\parindent{1pc}%{1em}
\else
  \setlength\parindent{15\p@}
\fi
\setlength\smallskipamount{3\p@ \@plus 1\p@ \@minus 1\p@}
\setlength\medskipamount{6\p@ \@plus 2\p@ \@minus 2\p@}
\setlength\bigskipamount{12\p@ \@plus 4\p@ \@minus 4\p@}
\setlength\headheight{14\p@}
\setlength\headsep   {26\p@}
\setlength\topskip   {10\p@}
\setlength\footskip{30\p@}
\if@compatibility \setlength\maxdepth{4\p@} \else
\setlength\maxdepth{.5\topskip} \fi
\if@compatibility
  \if@twocolumn
    \setlength\textwidth{410\p@}
  \else
    \setlength\textwidth{410\p@}%345
  \fi
\else
  \setlength\@tempdima{\paperwidth}
  \addtolength\@tempdima{6pc}%-2in}
  \setlength\@tempdimb{504\p@}
  \if@twocolumn
    \ifdim\@tempdima>2\@tempdimb\relax
      \setlength\textwidth{2\@tempdimb}
    \else
      \setlength\textwidth{\@tempdima}
    \fi
  \else
    \ifdim\@tempdima>\@tempdimb\relax
      \setlength\textwidth{\@tempdimb}
    \else
      \setlength\textwidth{\@tempdima}
    \fi
  \fi
\fi
\if@compatibility\else
  \@settopoint\textwidth
\fi
\if@compatibility
  \setlength\textheight{43\baselineskip}
\else
  \setlength\@tempdima{\paperheight}%
  \addtolength\@tempdima{-12pc}%
%  \addtolength\@tempdima{-2in}%
%  \addtolength\@tempdima{-1.5in}%
  \divide\@tempdima\baselineskip%
  \@tempcnta=\@tempdima%
  \setlength\textheight{\@tempcnta\baselineskip}%
%  \setlength\textheight{62\baselineskip}
\fi
\addtolength\textheight{\topskip}%
\if@twocolumn
 \setlength\marginparsep {10\p@}
\else
  \setlength\marginparsep{11\p@}
\fi
\setlength\marginparpush{5\p@}
\if@compatibility
  \if@twoside
     \setlength\oddsidemargin   {44\p@}
     \setlength\evensidemargin  {82\p@}
     \setlength\marginparwidth {107\p@}
  \else
     \setlength\oddsidemargin   {63\p@}
     \setlength\evensidemargin  {63\p@}
     \setlength\marginparwidth  {90\p@}
  \fi
  \if@twocolumn
     \setlength\oddsidemargin  {30\p@}
     \setlength\evensidemargin {30\p@}
     \setlength\marginparwidth {48\p@}
  \fi
\else
  \if@twoside
    \setlength\@tempdima        {\paperwidth}
    \addtolength\@tempdima      {-\textwidth}
    \setlength\oddsidemargin    {.659in}%.5\@tempdima}
%    \setlength\oddsidemargin    {3pc}
    \addtolength\oddsidemargin  {-65pt}%-1in}
    \setlength\marginparwidth   {.6\@tempdima}
    \addtolength\marginparwidth {-\marginparsep}
    \addtolength\marginparwidth {-0.4in}
  \else
    \setlength\@tempdima        {\paperwidth}
    \addtolength\@tempdima      {-\textwidth}
    \setlength\oddsidemargin    {.5\@tempdima}
    \addtolength\oddsidemargin  {-1in}
    \setlength\marginparwidth   {.5\@tempdima}
    \addtolength\marginparwidth {-\marginparsep}
    \addtolength\marginparwidth {-0.4in}
    \addtolength\marginparwidth {-.4in}
  \fi
  \ifdim \marginparwidth >2in
     \setlength\marginparwidth{2in}
  \fi
  \@settopoint\oddsidemargin
  \@settopoint\marginparwidth
  \setlength\evensidemargin  {\paperwidth}
  \addtolength\evensidemargin{-2in}
  \addtolength\evensidemargin{-\textwidth}
  \addtolength\evensidemargin{-\oddsidemargin}
  \@settopoint\evensidemargin
\fi
\if@compatibility
  \setlength\topmargin{27pt}
\else
  \setlength\topmargin{\paperheight}
  \addtolength\topmargin{-2in}
  \addtolength\topmargin{-\headheight}
  \addtolength\topmargin{-\headsep}
  \addtolength\topmargin{-\textheight}
  \addtolength\topmargin{-\footskip}     % this might be wrong!
  \addtolength\topmargin{-.5\topmargin}
  \addtolength\topmargin{-0.5pt}%12.5pt}% For 36pt b/b
  \@settopoint\topmargin
\fi

\setlength\footnotesep{6.65\p@}
\setlength{\skip\footins}{9\p@ \@plus 4\p@ \@minus 2\p@}
\setlength\floatsep    {12\p@ \@plus 2\p@ \@minus 2\p@}
\setlength\textfloatsep{20\p@ \@plus 2\p@ \@minus 4\p@}
\setlength\intextsep   {12\p@ \@plus 2\p@ \@minus 2\p@}
\setlength\dblfloatsep    {12\p@ \@plus 2\p@ \@minus 2\p@}
\setlength\dbltextfloatsep{20\p@ \@plus 2\p@ \@minus 4\p@}
\setlength\@fptop{0\p@ \@plus 1fil}
\setlength\@fpsep{\textheight}%8\p@ \@plus 2fil}
\setlength\@fpbot{0\p@ \@plus 1fil}
\setlength\@dblfptop{0\p@ \@plus 1fil}
\setlength\@dblfpsep{8\p@ \@plus 2fil}
\setlength\@dblfpbot{0\p@ \@plus 1fil}
\setlength\partopsep{2\p@ \@plus 1\p@ \@minus 1\p@}
\def\@listi{\leftmargin\leftmargini
            \parsep 4\p@ \@plus2\p@ \@minus\p@
            \topsep 8\p@ \@plus2\p@ \@minus4\p@
            \itemsep4\p@ \@plus2\p@ \@minus\p@}
\let\@listI\@listi
\@listi
\def\@listii {\leftmargin\leftmarginii
              \labelwidth\leftmarginii
              \advance\labelwidth-\labelsep
              \topsep    4\p@ \@plus2\p@ \@minus\p@
              \parsep    2\p@ \@plus\p@  \@minus\p@
              \itemsep   \parsep}
\def\@listiii{\leftmargin\leftmarginiii
              \labelwidth\leftmarginiii
              \advance\labelwidth-\labelsep
              \topsep    2\p@ \@plus\p@\@minus\p@
              \parsep    \z@
              \partopsep \p@ \@plus\z@ \@minus\p@
              \itemsep   \topsep}
\def\@listiv {\leftmargin\leftmarginiv
              \labelwidth\leftmarginiv
              \advance\labelwidth-\labelsep}
\def\@listv  {\leftmargin\leftmarginv
              \labelwidth\leftmarginv
              \advance\labelwidth-\labelsep}
\def\@listvi {\leftmargin\leftmarginvi
              \labelwidth\leftmarginvi
              \advance\labelwidth-\labelsep}
%
\setlength\lineskip{1\p@}
\setlength\normallineskip{1\p@}
\renewcommand\baselinestretch{2}
\setlength\parskip{0\p@}% \@plus \p@}
\@lowpenalty   51
\@medpenalty  151
\@highpenalty 301
\setcounter{topnumber}{1}
\renewcommand\topfraction{.7}
\setcounter{bottomnumber}{1}
\renewcommand\bottomfraction{.3}
\setcounter{totalnumber}{1}
\renewcommand\textfraction{.2}
\renewcommand\floatpagefraction{.5}
\setcounter{dbltopnumber}{1}
\renewcommand\dbltopfraction{.7}
\renewcommand\dblfloatpagefraction{.5}
\def\jname#1{\gdef\@jname{\MakeUppercase{#1}}}%
\def\jmonth#1{\gdef\@jmonth{\MakeUppercase{#1}}}%
\def\jyear#1{\gdef\@jyear{#1}}%
\def\logno#1{\gdef\@logno{#1}}%
\logno{}
\if@twoside
  \def\ps@headings{\let\@mkboth\markboth
    \let\@oddfoot\@empty\let\@evenfoot\@empty
     \def\@evenhead{\hbox to 4pc{\thepage\hfill}{\MakeUppercase{\leftmark}}\hfill\@jname}%
     \def\@oddhead{AHS Log No. \@logno\hfill\hbox to 4pc{\hfill\thepage}}%
     }
\else
  \def\ps@headings{\let\@mkboth\markboth
    \let\@oddfoot\@empty\let\@evenfoot\@empty
     \def\@evenhead{\thepage\hfill{\leftmark}\hfill}%
     \def\@oddhead{\hfill{\rightmark}\hfill\thepage}%
     }
\fi
\def\ps@myheadings{%
    \let\@oddfoot\@empty\let\@evenfoot\@empty
    \def\@evenhead{\thepage\hfil\slshape\leftmark}%
    \def\@oddhead{{\slshape\rightmark}\hfil\thepage}%
    \let\@mkboth\@gobbletwo
    \let\sectionmark\@gobble
    \let\subsectionmark\@gobble
    }
  \if@titlepage
  \newcommand\maketitle{\begin{titlepage}%
%  \let\footnotesize\small
  \let\footnoterule\relax
  \let \footnote \thanks
  \null\vfil
  \vskip 60\p@
  \begin{center}%
    {\titlefont \@title \par}%
    \vskip 3em%
     \lineskip .75em%
        \@authors
      \vskip 1.5em%
  \end{center}\par
  \@thanks
  \vfil\null
  \end{titlepage}%
  \setcounter{footnote}{0}%
  \global\let\thanks\relax
  \global\let\maketitle\relax
  \global\let\@thanks\@empty
  \global\let\@authors\@empty
  \global\let\@date\@empty
  \global\let\@title\@empty
  \global\let\title\relax
  \global\let\authors\relax
  \global\let\date\relax
  \global\let\and\relax
}
\else
\newcommand\maketitle{\par
  \begingroup
    \renewcommand\thefootnote{}%\@fnsymbol\c@footnote}%
    \def\@makefnmark{\rlap{\@textsuperscript{\normalfont\@thefnmark}}}%
    \long\def\@makefntext##1{\parindent 1em\noindent
%            \hb@xt@1.8em{\hss\@textsuperscript{\normalfont\@thefnmark}}%
            ##1}%
    \if@twocolumn
      \ifnum \col@number=\@ne
        \@maketitle
      \else
%        \twocolumn[
\@maketitle%]%
      \fi
    \else
      \newpage
      \global\@topnum\z@   % Prevents figures from going at top of page.
      \@maketitle
    \fi
    \thispagestyle{plain}\@thanks
  \endgroup
  \setcounter{footnote}{0}%
  \global\let\thanks\relax
  \global\let\maketitle\relax
  \global\let\@maketitle\relax
  \global\let\@thanks\@empty
  \global\let\@authors\@empty
  \global\let\@date\@empty
  \global\let\@title\@empty
  \global\let\title\relax
  \global\let\authors\relax
  \global\let\date\relax
  \global\let\and\relax
}
\def\@maketitle{%
  \newpage
  \null
  \vskip-40.5pt%
%  \begin{center}%
  \let \footnote \thanks
    {\titlefont \@title\par}%
    \vskip 25pt%
    {%\large
%      \lineskip .5em%
      \@authors}
      \ifvoid\abstractbox%
      \else%
        \vspace*{39pt}%
        {\box\abstractbox}%
      \fi%
%  \end{center}%
  \par\vskip 28pt}
\fi
%
\newcount\authorcount\authorcount\z@
\newcount\tempcount\tempcount\z@
%
\gdef\AUempty{empty}
\renewcommand\author[2][\relax]{\global\advance\authorcount\@ne
              \def\testau{#1}
              \expandafter\gdef\csname @author\romannumeral\the\authorcount\endcsname{#2}%
              \ifx#1\relax\expandafter\xdef\csname @aufig\romannumeral\the\authorcount\endcsname{\AUempty}\else\expandafter\xdef\csname @aufig\romannumeral\the\authorcount\endcsname{#1}\fi%
	      }%

\newcommand\affiliation[1]{\expandafter\gdef\csname @affiliation\romannumeral\the\authorcount\endcsname{#1}}
%
\def\@authors{\loop
               \ifnum\authorcount>\z@ 
                   \advance\tempcount\@ne
                   {\authorfont%
                    \def\tempa{\csname @aufig\romannumeral\the\tempcount\endcsname}
		    \ifthenelse{\equal{\tempa}{\AUempty}}{}%
                    {\figurebox{9pc}{6pc}{\csname @aufig\romannumeral\the\tempcount\endcsname}\vskip2pt}%
                   {\csname @author\romannumeral\the\tempcount\endcsname\par}}%\vskip-2pt
                   {\affilfont\csname @affiliation\romannumeral\the\tempcount\endcsname\par}%\vskip-2pt 
                   \ifnum\authorcount>\@ne\ifnum\authorcount>\tw@ \else\vskip13pt \fi\fi% \vskip-2pt
                   \advance\authorcount\m@ne
               \repeat}
%
\newbox\tempbox
\newdimen\nomenwd
\nomenwd\z@
%
\newdimen\nomenwd\nomenwd\z@
\newenvironment{nomenclature}[1][\relax]{%
   \ifx#1\relax\else\setbox\tempbox\hbox{#1}\global\nomenwd\wd\tempbox\fi
   \section{Nomenclature}
%   \leftskip1pc\rightskip1pc
   }{\par\addvspace{.5\baselineskip}}
\newcommand\nomenentry[2]{\nomenfont\noindent\@hangfrom{\ifdim\nomenwd>\z@\hbox to\nomenwd{#1\hfill}\else#1\fi\hskip8pt}{\nomenfont#2\par}}
%
\newcommand\nomensection[1]{\vskip6pt\noindent{\it#1}\vskip6pt}
%
\setcounter{secnumdepth}{0}
\newcounter {part}
\newcounter {section}
\newcounter {subsection}[section]
\newcounter {subsubsection}[subsection]
\newcounter {paragraph}[subsubsection]
\newcounter {subparagraph}[paragraph]
\renewcommand \thepart {\@Roman\c@part}
\renewcommand \thesection {\@Roman\c@section.}
\renewcommand\thesubsection   {\@Alph\c@subsection.}
\renewcommand\thesubsubsection{\@arabic\c@subsubsection.}
\renewcommand\theparagraph    {\thesubsubsection.\@arabic\c@paragraph}
\renewcommand\thesubparagraph {\theparagraph.\@arabic\c@subparagraph}

\newcommand\section{\@startsection {section}{1}{\z@}%
                                   {3.5ex \@plus 1ex \@minus .2ex}%
                                   {12pt}%
                                   {\sectionfont\centering}}
\newcommand\subsection{\@startsection{subsection}{2}{\z@}%
                                     {3.25ex\@plus 1ex \@minus .2ex}%
                                     {12pt}%
                                     {\subsectionfont}}
\newcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}%
                                     {3.25ex\@plus 1ex \@minus .2ex}%
                                     {12pt}%
                                     {\subsubsectionfont}}
\newcommand\paragraph{\@startsection{paragraph}{4}{\z@}%
                                    {3.25ex \@plus1ex \@minus.2ex}%
                                    {-1em}%
                                    {\paragraphfont}}
\newcommand\subparagraph{\@startsection{subparagraph}{5}{\parindent}%
                                       {3.25ex \@plus1ex \@minus ..2ex}%
                                       {-1em}%
                                      {\normalfont\normalsize\bfseries}}
%
\def\@sect#1#2#3#4#5#6[#7]#8{%
  \ifnum #2>\c@secnumdepth
    \let\@svsec\@empty
  \else
    \refstepcounter{#1}%
    \protected@edef\@svsec{\@seccntformat{#1}\relax}%
  \fi
  \@tempskipa #5\relax
  \ifdim \@tempskipa>\z@
    \begingroup
      #6{%
        \@hangfrom{\hskip #3\relax\@svsec}%
          \interlinepenalty \@M \ifnum#2=1{#8}\else#8\fi\@@par}%\MakeUppercase
    \endgroup
    \csname #1mark\endcsname{#7}%
    \addcontentsline{toc}{#1}{%
      \ifnum #2>\c@secnumdepth \else
        \protect\numberline{\csname the#1\endcsname}%
      \fi
      #7}%
  \else
    \def\@svsechd{%
      #6{\hskip #3\relax
      \@svsec \ifnum#2=3#8\else#8\fi}%
      \csname #1mark\endcsname{#7}%
      \addcontentsline{toc}{#1}{%
        \ifnum #2>\c@secnumdepth \else
          \protect\numberline{\csname the#1\endcsname}%
        \fi
        #7}}%
  \fi
  \@xsect{#5}}
%
\if@twocolumn
  \setlength\leftmargini  {2em}
\else
  \setlength\leftmargini  {2.5em}
\fi
\leftmargin  \leftmargini
\setlength\leftmarginii  {2.2em}
\setlength\leftmarginiii {1.87em}
\setlength\leftmarginiv  {1.7em}
\if@twocolumn
  \setlength\leftmarginv  {.5em}
  \setlength\leftmarginvi {.5em}
\else
  \setlength\leftmarginv  {1em}
  \setlength\leftmarginvi {1em}
\fi
\setlength  \labelsep  {.5em}
\setlength  \labelwidth{\leftmargini}
\addtolength\labelwidth{-\labelsep}
\@beginparpenalty -\@lowpenalty
\@endparpenalty   -\@lowpenalty
\@itempenalty     -\@lowpenalty
\renewcommand\theenumi{\@arabic\c@enumi}
\renewcommand\theenumii{\@alph\c@enumii}
\renewcommand\theenumiii{\@roman\c@enumiii}
\renewcommand\theenumiv{\@Alph\c@enumiv}
\newcommand\labelenumi{\theenumi)}
\newcommand\labelenumii{(\theenumii)}
\newcommand\labelenumiii{\theenumiii)}
\newcommand\labelenumiv{\theenumiv.}
\renewcommand\p@enumii{\theenumi}
\renewcommand\p@enumiii{\theenumi(\theenumii)}
\renewcommand\p@enumiv{\p@enumiii\theenumiii}
\newcommand\labelitemi{\textbullet}
\newcommand\labelitemii{\normalfont\bfseries \textendash}
\newcommand\labelitemiii{\textasteriskcentered}
\newcommand\labelitemiv{\textperiodcentered}
\newenvironment{description}
               {\list{}{\labelwidth\z@ \itemindent-\leftmargin
                        \let\makelabel\descriptionlabel}}
               {\endlist}
\newcommand*\descriptionlabel[1]{\hspace\labelsep
                                \normalfont\bfseries #1}
\newbox\abstractbox
\if@titlepage 
  \newenvironment{abstract}{%
      \titlepage
      \null\vfil
      \@beginparpenalty\@lowpenalty
      \begin{center}%
        \bfseries \abstractname
        \@endparpenalty\@M
      \end{center}}%
     {\par\vfil\null\endtitlepage}
\else
  \newenvironment{abstract}{%
      \if@twocolumn
        \section*{\abstractname}%
        \hsize\textwidth%
	\global\setbox\abstractbox\vbox\bgroup\par\abstractfont\noindent\ignorespaces%
      \else
        \section*{\abstractname}%
        \quotation 
      \fi}
      {\if@twocolumn\egroup\else\endquotation\fi}
\fi
\newenvironment{verse}
               {\let\\\@centercr
                \list{}{\itemsep      \z@
                        \itemindent   -1.5em%
                        \listparindent\itemindent
                        \rightmargin  \leftmargin
                        \advance\leftmargin 1.5em}%
                \item\relax}
               {\endlist}
\newenvironment{quotation}
               {\abstractfont\list{}{\listparindent 1em%
                        \itemindent    \listparindent
                        \rightmargin1pc   \leftmargin1pc
                        \parsep        \z@ \@plus\p@}%
                \item\relax}
               {\endlist}
\newenvironment{quote}
               {\list{}{\rightmargin\leftmargin}%
                \item\relax}
               {\endlist}
\if@compatibility
\newenvironment{titlepage}
    {%
      \if@twocolumn
        \@restonecoltrue\onecolumn
      \else
        \@restonecolfalse\newpage
      \fi
      \thispagestyle{empty}%
      \setcounter{page}\z@
    }%
    {\if@restonecol\twocolumn \else \newpage \fi
    }
\else
\newenvironment{titlepage}
    {%
      \if@twocolumn
        \@restonecoltrue\onecolumn
      \else
        \@restonecolfalse\newpage
      \fi
      \thispagestyle{empty}%
      \setcounter{page}\@ne
    }%
    {\if@restonecol\twocolumn \else \newpage \fi
     \if@twoside\else
        \setcounter{page}\@ne
     \fi
    }
\fi
\newcommand\appendix{\par
  \setcounter{section}{0}%
  \setcounter{subsection}{0}%
  \renewcommand\thesection{\@Alph\c@section}}

\setlength\arraycolsep	 {1.5\p@}
\setlength\tabcolsep{6\p@}
\setlength\arrayrulewidth{.4\p@}
\setlength\doublerulesep{2\p@}
\setlength\tabbingsep{\labelsep}
\skip\@mpfootins = \skip\footins
\setlength\fboxsep{3\p@}
\setlength\fboxrule{.4\p@}
\renewcommand \theequation {\@arabic\c@equation}
\newcounter{figure}
\renewcommand \thefigure {\@arabic\c@figure}
\def\fps@figure{tbp}
\def\ftype@figure{1}
\def\ext@figure{lof}
\def\fnum@figure{\figurename~\thefigure}
\newenvironment{figure}
               {\@float{figure}}
               {\end@float}
\newenvironment{figure*}
               {\@dblfloat{figure}}
               {\end@dblfloat}
\newcounter{table}
\renewcommand\thetable{\@arabic\c@table}
\def\fps@table{tbp}
\def\ftype@table{2}
\def\ext@table{lot}
\def\fnum@table{\tablename~\thetable}
\newenvironment{table}
               {\@float{table}}
               {\end@float}
\newenvironment{table*}
               {\@dblfloat{table}}
               {\end@dblfloat}
\newlength\abovecaptionskip
\newlength\belowcaptionskip
\setlength\abovecaptionskip{10\p@}
\setlength\belowcaptionskip{\z@}
%
\def\FigName{figure}
\long\def\@makecaption#1#2{%
    \ifx\FigName\@captype
          \setbox\tempbox\hbox{\figcaptionnumfont{#1}\ #2}%
	  \vskip\abovecaptionskip%
   	  \ifdim\wd\tempbox>\hsize%
            {\figcaptionfont{\figcaptionnumfont#1}\ #2\par}%
          \else%
            {\figcaptionfont\centering{\figcaptionnumfont#1}\ #2\par}%
          \fi%
    \else%
	  \setbox\tempbox\hbox{\Tablecaptionfont\noindent{\Tablecaptionfont#1.}\hskip1em#2}
%   	  \ifdim\wd\tempbox>\tblwidth%
%            {\tablecaptionfont\noindent{\tablecaptionnumfont#1.}\hskip1em%
%			#2\vphantom{y}\par}%
%          \else%
            {\Tablecaptionfont\centering\noindent{\tablecaptionnumfont#1.}\hskip1em%
			#2\vphantom{y}\par}%
%          \fi%
      \vskip\belowcaptionskip%
    \fi%
}%

\newskip\tabnoteleftskip
\newskip\tabnoterightskip
\newdimen\tabledim
\newskip\tableleftskip
\newskip\tablerightskip
\newdimen\tablewidth
\newdimen\tblwidth
\def\TCH#1{{\TCHfont#1}}

\newcommand\tbl[2]{%
  \setbox\tempbox\hbox{\tablefont#2}%
  \tablewidth\wd\tempbox
  \global\tblwidth\wd\tempbox
  \tabledim\hsize
  \advance\tabledim-\wd\tempbox
  \divide\tabledim\tw@
  \global\tableleftskip\tabledim% plus1fill 
  \global\tablerightskip\tabledim% plus1fill
  \global\tabnoteleftskip\tabledim
  \global\tabnoterightskip\tabledim
  \caption{#1}%
  \centerline{\box\tempbox}
}%

\newif\iffirsttabnote
\global\firsttabnotetrue

\newcommand\tabnote[1]{\par%
	\iffirsttabnote\vskip3pt\fi%
	\leftskip\tabnoteleftskip\rightskip\tabnoterightskip
	\footnotesize#1\par\global\firsttabnotefalse}
%
\def\endarray{\crcr\egroup\egroup}
\def\endtabular{\crcr\egroup\egroup $\egroup\hfill}
\expandafter \let \csname endtabular*\endcsname = \endtabular
\def\tabular{\let\@halignto\@empty\@tabular}
\@namedef{tabular*}#1{\def\@halignto{to#1}\@tabular}
\def\@tabular{\leavevmode\hfill \hbox \bgroup $\let\@acol\@tabacol
   \let\@classz\@tabclassz
   \let\@classiv\@tabclassiv \let\\\@tabularcr\@tabarray}
\def\@tabarray{\m@th\@ifnextchar[\@array{\@array[c]}}
\def\@array[#1]#2{%
  \if #1t\vtop \else \if#1b\vbox \else \vcenter \fi\fi
  \bgroup
  \setbox\@arstrutbox\hbox{%
    \vrule \@height\arraystretch\ht\strutbox
           \@depth\arraystretch \dp\strutbox
           \@width\z@}%
  \@mkpream{#2}%
  \edef\@preamble{%
    \ialign \noexpand\@halignto
      \bgroup \@arstrut \@preamble \tabskip\z@skip \cr}%
  \let\@startpbox\@@startpbox \let\@endpbox\@@endpbox
  \let\tabularnewline\\%
    \let\par\@empty
    \let\@sharp##%
    \set@typeset@protect
    \lineskip\z@skip\baselineskip\z@skip
    \@preamble}
%%
\def\x{@{\extracolsep{\fill}}}
\newcommand\toprule{\\[-13pt]\hline\hline\\[-4.8\p@]}%
\newcommand\colrule{\\[-8.2\p@]\hline\\[-4.8\p@]}
\newcommand\botrule{\\[-7.2\p@]\hline\hline\\[-17pt]}
\newcommand\crule[1]{\\[-8.4\p@]#1\\[-16.5\p@]}
%%
%\newskip\tableleftskip
%\newskip\tablerightskip
%\newskip\tabnoteleftskip
%\newskip\tabnoterightskip
%\newdimen\tabledim
%\newdimen\tablewidth
%%
\newcommand\subcaption[1]{{\figcaptionfont#1\par}}
%
\newdimen\figheight
\newdimen\figwidth

\def\figurebox#1#2#3{%
   \global\figheight=#1
   \global\figwidth=#2
   \edef\@thirdarg{#3}
   \@ifnextchar[{\figbox}{\figbox[]}}
%
\def\figbox[#1]{\vskip0pt%
   \gdef\@arg{#1}
   \ifx\@arg\empty
      \dimen99=\figheight
      \divide\dimen99 by \tw@
      \vbox to3pt{\vfill}%
   		 \centerline{\vbox{\hrule\hbox to \figwidth{\vrule\hfill\vbox to \figheight{%
      \hbox to \figwidth{\hfill{\vrule height\dimen99 width0pt{\@thirdarg\%}}\hfill}\vfill}\hskip-.8pt\vrule}\hrule}}
    \else
      \vbox to3pt{\vfill}%
      \centerline{\vbox{%
      \ifx\@thirdarg\empty\def\@thirdarg{1000}\fi
      \epsfscale=\@thirdarg\epsfbox{\ArtDir#1}}}
\fi}
%\input epsf.sty
\def\ArtDir{}%
%
\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl}
\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc}
\DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal}
\DeclareRobustCommand*\mit{\@fontswitch\relax\mathnormal}
\newcommand\@pnumwidth{1.55em}
\newcommand\@tocrmarg{2.55em}
\newcommand\@dotsep{4.5}
\setcounter{tocdepth}{3}
\newcommand\tableofcontents{%
    \section*{\contentsname
        \@mkboth{%
           \MakeUppercase\contentsname}{\MakeUppercase\contentsname}}%
    \@starttoc{toc}%
    }
\newcommand*\l@part[2]{%
  \ifnum \c@tocdepth >-2\relax
    \addpenalty\@secpenalty
    \addvspace{2.25em \@plus\p@}%
    \begingroup
      \parindent \z@ \rightskip \@pnumwidth
      \parfillskip -\@pnumwidth
      {\leavevmode
       \large \bfseries #1\hfil \hb@xt@\@pnumwidth{\hss #2}}\par
       \nobreak
       \if@compatibility
         \global\@nobreaktrue
         \everypar{\global\@nobreakfalse\everypar{}}%
      \fi
    \endgroup
  \fi}
\newcommand*\l@section[2]{%
  \ifnum \c@tocdepth >\z@
    \addpenalty\@secpenalty
    \addvspace{1.0em \@plus\p@}%
    \setlength\@tempdima{1.5em}%
    \begingroup
      \parindent \z@ \rightskip \@pnumwidth
      \parfillskip -\@pnumwidth
      \leavevmode \bfseries
      \advance\leftskip\@tempdima
      \hskip -\leftskip
      #1\nobreak\hfil \nobreak\hb@xt@\@pnumwidth{\hss #2}\par
    \endgroup
  \fi}
\newcommand*\l@subsection{\@dottedtocline{2}{1.5em}{2.3em}}
\newcommand*\l@subsubsection{\@dottedtocline{3}{3.8em}{3.2em}}
\newcommand*\l@paragraph{\@dottedtocline{4}{7.0em}{4.1em}}
\newcommand*\l@subparagraph{\@dottedtocline{5}{10em}{5em}}
\newcommand\listoffigures{\clearpage\pagestyle{empty}%
    \section{\listfigurename
%      \@mkboth{\MakeUppercase\listfigurename}%
%              {\MakeUppercase\listfigurename}
}%
    \@starttoc{lof}%
    \clearpage}
\newcommand*\l@figure{\@dottedtocline{1}{1.5em}{2.3em}}
\newcommand\listoftables{\pagestyle{empty}%
    \section{\listtablename
%      \@mkboth{%
%          \MakeUppercase\listtablename}{\MakeUppercase\listtablename}
}%
    \@starttoc{lot}%
    \clearpage}
%
\newdimen\mathindent
\mathindent\z@
\newenvironment{fleqnarray}{\arraycolsep0pt%
    \stepcounter{equation}%
    \def\@currentlabel{\p@equation\theequation}%
    \global\@eqnswtrue\m@th
    \global\@eqcnt\z@
    \tabskip\mathindent
    \let\\=\@eqncr
    \setlength\abovedisplayskip{\topsep}%
    \ifvmode
      \addtolength\abovedisplayskip{\partopsep}%
    \fi
    \addtolength\abovedisplayskip{\parskip}%
    \setlength\belowdisplayskip{\abovedisplayskip}%
    \setlength\belowdisplayshortskip{\abovedisplayskip}%
    \setlength\abovedisplayshortskip{\abovedisplayskip}%
    $$\everycr{}\halign to\linewidth% $$
    \bgroup
      \hskip\@centering
      $\displaystyle\tabskip\z@skip{##}$\@eqnsel&%
      \global\@eqcnt\@ne \hskip \tw@\arraycolsep \hfil${##}$\hfil&%
      \global\@eqcnt\tw@ \hskip \tw@\arraycolsep
        $\displaystyle{##}$\hfil \tabskip\@centering&%
      \global\@eqcnt\thr@@
        \hb@xt@\z@\bgroup\hss##\egroup\tabskip\z@skip\cr}%
      {\@@eqncr
    \egroup
    \global\advance\c@equation\m@ne$$% $$
    \@ignoretrue
    }
%
\let\l@table\l@figure
\newdimen\bibindent
%
\def\thebibliography#1{\section{{\refname}}\vskip1pt\list
  {\@biblabel{\arabic{enumiv}}}{\settowidth\labelwidth{\@biblabel{#1}}%
   \leftmargin0pt
    \itemindent22pt
    \itemsep-4pt\labelsep0pt
    \usecounter{enumiv}%
    \let\p@enumiv\@empty
    \def\theenumiv{\arabic{enumiv}}}%
    \def\newblock{\hskip .11em plus.33em minus.07em}%
    \sloppy\clubpenalty4000\widowpenalty4000\bibfont
    \sfcode`\.=1000\relax}
\def\endthebibliography{%
  \def\@noitemerr{\@warning{Empty `thebibliography' environment}}%
  \endlist}
%
\def\@biblabel#1{$^{#1}$}
%
\newcommand\newblock{\hskip ..11em\@plus.33em\@minus.07em}
\let\@openbib@code\@empty
\newenvironment{theindex}
               {\if@twocolumn
                  \@restonecolfalse
                \else
                  \@restonecoltrue
                \fi
                \columnseprule \z@
                \columnsep 35\p@
                \twocolumn[\section*{\indexname}]%
                \@mkboth{\MakeUppercase\indexname}%
                        {\MakeUppercase\indexname}%
                \thispagestyle{plain}\parindent\z@
                \parskip\z@ \@plus ..3\p@\relax
                \let\item\@idxitem}
               {\if@restonecol\onecolumn\else\clearpage\fi}
\newcommand\@idxitem{\par\hangindent 40\p@}
\newcommand\subitem{\@idxitem \hspace*{20\p@}}
\newcommand\subsubitem{\@idxitem \hspace*{30\p@}}
\newcommand\indexspace{\par \vskip 10\p@ \@plus5\p@ \@minus3\p@\relax}
\renewcommand\thefootnote{\@fnsymbol\c@footnote}
\renewcommand\footnoterule{%
  \kern7\p@
  \hrule\@width8pc height0.5pt
  \kern2.6\p@}
\newcommand\@makefntext[1]{%
    \parindent 1em%
    \noindent
    \hb@xt@1.8em{\hss\@makefnmark}#1}
%% Enumerate list for AHS
\def\enumerate{\labelwidth0pt\let\list\enumlist%
  \ifnum \@enumdepth >\thr@@\@toodeep\else
    \advance\@enumdepth\@ne
    \edef\@enumctr{enum\romannumeral\the\@enumdepth}%
      \expandafter
      \list
        \csname label\@enumctr\endcsname
        {\usecounter\@enumctr\def\makelabel##1{%\hss\llap
        {\hspace*{\labelsep}\hspace*{3pc}##1}}}% AHS list style
  \fi}

\def\enumlist#1#2{%
  \ifnum \@listdepth >5\relax
    \@toodeep
  \else
    \global\advance\@listdepth\@ne
  \fi
  \rightmargin\z@
  \listparindent\z@
  \itemindent\z@
  \csname @list\romannumeral\the\@listdepth\endcsname
  \def\@itemlabel{#1}%
  \let\makelabel\@mklab
  \@nmbrlistfalse
  #2\relax
  \@trivlist
  \parskip\parsep
  \parindent\listparindent
%  \advance\linewidth -\rightmargin
%  \advance\linewidth -\leftmargin
%  \advance\@totalleftmargin \leftmargin
%  \parshape \@ne \@totalleftmargin \linewidth
  \ignorespaces}
%
%%
\newcommand\contentsname{Contents}
\newcommand\listfigurename{List of Figures}
\newcommand\listtablename{List of Tables}
\newcommand\refname{References}
\newcommand\indexname{Index}
\newcommand\figurename{Fig.}
\newcommand\tablename{Table}
\newcommand\partname{Part}
\newcommand\appendixname{Appendix}
\newcommand\abstractname{Abstract}
\def\today{\ifcase\month\or
  January\or February\or March\or April\or May\or June\or
  July\or August\or September\or October\or November\or December\fi
  \space\number\day, \number\year}
\setlength\columnsep{24\p@}
\setlength\columnseprule{0\p@}
\pagestyle{headings}
\pagenumbering{arabic}
\if@twoside
\else
  \raggedbottom
\fi
\if@twocolumn
  \twocolumn
  \sloppy
  \flushbottom
\else
  \onecolumn
\fi
\usepackage{ifthen}
\usepackage{times}
%\usepackage[mtbold]{mathtime}
\usepackage{bm}
\renewcommand{\ttdefault}{cmtt}
\usepackage{graphicx}% Include figure files
%
\endinput
%%
%% End of file `ahs.cls'.
%%
%% =========================
%% Update history of ahs.cls
%% 
%% On Date 25th Feb 2007, feedback raised by ``J. Gordon Leishman"
%%
%% 1) \setlength\@fpsep{\textheight} --> for single float on separate page
%% 2) \long\def\@makecaption ---> has been updated for table caption `centering' style.
%%