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--- /arXMLiv/repos/arXMLiv/trunk/sty/article-mod.cls	2010-04-02 19:32:04.000000000 +0200
+++ /arXMLiv/repos/arXMLiv/trunk/sty/rims27a.cls	2010-04-03 06:12:09.000000000 +0200
@@ -1,128 +1,221 @@
-%%
-%% This is file `article.cls',
-%% generated with the docstrip utility.
-%%
-%% The original source files were:
-%%
-%% classes.dtx  (with options: `article')
-%%
-%% This is a generated file.
-%%
-%% Copyright 1993 1994 1995 1996 1997 1998 1999 2000 2001
-%% The LaTeX3 Project and any individual authors listed elsewhere
-%% in this file.
-%%
-%% This file was generated from file(s) of the LaTeX base system.
-%% --------------------------------------------------------------
-%%
-%% It may be distributed and/or modified under the
-%% conditions of the LaTeX Project Public License, either version 1.2
-%% of this license or (at your option) any later version.
-%% The latest version of this license is in
-%%    http://www.latex-project.org/lppl.txt
-%% and version 1.2 or later is part of all distributions of LaTeX
-%% version 1999/12/01 or later.
-%%
-%% This file may only be distributed together with a copy of the LaTeX
-%% base system. You may however distribute the LaTeX base system without
-%% such generated files.
-%%
-%% The list of all files belonging to the LaTeX base distribution is
-%% given in the file `manifest.txt'. See also `legal.txt' for additional
-%% information.
-%%
-%% \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}[1995/12/01]
-\ProvidesClass{article-mod}
-              [2001/04/21 v1.4e
- Standard LaTeX document class]
-\newcommand\@ptsize{}
+%\ProvidesClass{article}
+%              [1998/05/05 v1.3y
+% Standard LaTeX document class]
+%\ProvidesClass{rims25-2000}
+%\ProvidesClass{rims25-2}
+\ProvidesClass{rims27}
+%%%              [2000/05/11 v0.01 LaTeX document class]
+%%%              [2000/06/20 v0.02 LaTeX document class]
+%%%              [2000/07/14 v0.03 LaTeX document class]
+%%%              [2000/09/11 v3.01 LaTeX document class]
+%%%              [2000/09/25 v4.01 LaTeX document class]
+%%%              [2000/10/10 v2.1 LaTeX document class]
+%%%              [2000/11/10 v2.2 LaTeX document class]
+%%%              [2000/12/15 v2.3 LaTeX document class]
+%%%              [2001/01/15 v2.4 LaTeX document class]
+              [2001/10/19 v2.5 LaTeX document class]
 \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{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{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}
+
+\newif\if@cropon
+\@croponfalse
+
+\@twosidetrue  \@mparswitchtrue
+
+\setlength\paperheight {731pt}
+\setlength\paperwidth  {518pt}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+
+\setcounter{secnumdepth}{3}
+\newcounter {part}
+\newcounter {section}
+\newcounter {subsection}[section]
+\newcounter {subsubsection}[subsection]
+\newcounter {paragraph}[subsubsection]
+\newcounter {subparagraph}[paragraph]
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+
+
 \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,10pt,oneside,onecolumn,final}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\DeclareOption{secnum}{%
+	\renewcommand\theequation {\thesection.\@arabic\c@equation}
+	\@addtoreset{equation}{section}}
+\DeclareOption{ssecnum}{%
+	\renewcommand\theequation {%
+		\@arabic\c@section.%
+		\ifnum \the\c@subsection = 0\else\@arabic\c@subsection.\fi%
+		\@arabic\c@equation}
+	\@addtoreset{equation}{subsection}}
+\DeclareOption{nsecnum}{%
+	\renewcommand\theequation {\@arabic\c@equation}}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%Only for Nakanishi Printing
+\DeclareOption{cropon}{\@cropontrue}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\ExecuteOptions{onecolumn,final}
 \ProcessOptions
-\input{size1\@ptsize.clo}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%Only for Nakanishi Printing
+\if@cropon \usepackage[cam,axes,noinfo,a4center]{crop}
+	%info option contains tribial error (size mismatch)
+	\else \usepackage[a4center,noinfo]{crop} \fi
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+%leqno.clo
+\renewcommand\@eqnnum{\hb@xt@.01\p@{}%
+                      \rlap{\normalfont\normalcolor
+                        \hskip -\displaywidth(\theequation)}}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%\ProvidesFile{size10.clo}
+%%%              [1998/05/05 v1.3y
+%%%      Standard LaTeX file (size option)]
+\renewcommand\normalsize{%
+   \@setfontsize\normalsize\@xpt{13.5}
+   \abovedisplayskip 10\p@ \@plus2\p@ \@minus5\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\@viiipt{9.5}%
+   \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}}
+
+\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\topmargin{16bp}%88bp-1inch
+\setlength\oddsidemargin  {20bp}%92bp - 1inch
+\setlength\evensidemargin {12bp}%84bp - 1inch
+
+\setlength\headheight{8\p@}
+\setlength\headsep   {15\p@}
+
+\setlength\topskip   {12\p@}
+%\setlength\footskip{30\p@}
+\setlength\footskip{11mm}
+\setlength\maxdepth{.5\topskip}
+
+\setlength\textwidth{342pt}
+\setlength\textheight{524pt}
+\setlength\parindent{2 em}
+
+\setlength\marginparwidth {50bp}%marginpar will not used
+\setlength\marginparpush{5\p@}
+
+
+\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{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}
+%%%\endinput
+%%
+%% End of file `size10.clo'.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+
 \setlength\lineskip{1\p@}
 \setlength\normallineskip{1\p@}
 \renewcommand\baselinestretch{}
-\setlength\parskip{0\p@ \@plus \p@}
+
+\setlength\parskip{0\p@}
+
 \@lowpenalty   51
 \@medpenalty  151
 \@highpenalty 301
+
 \setcounter{topnumber}{2}
 \renewcommand\topfraction{.7}
 \setcounter{bottomnumber}{1}
@@ -133,97 +226,120 @@
 \setcounter{dbltopnumber}{2}
 \renewcommand\dbltopfraction{.7}
 \renewcommand\dblfloatpagefraction{.5}
-\if@twoside
-  \def\ps@headings{%
-      \let\@oddfoot\@empty\let\@evenfoot\@empty
-      \def\@evenhead{\thepage\hfil\slshape\leftmark}%
-      \def\@oddhead{{\slshape\rightmark}\hfil\thepage}%
-      \let\@mkboth\markboth
-    \def\sectionmark##1{%
-      \markboth {\MakeUppercase{%
-        \ifnum \c@secnumdepth >\z@
-          \thesection\quad
-        \fi
-        ##1}}{}}%
-    \def\subsectionmark##1{%
-      \markright {%
-        \ifnum \c@secnumdepth >\@ne
-          \thesubsection\quad
-        \fi
-        ##1}}}
-\else
+
+
+
+\def\title#1{\gdef\@title{#1}
+	\@ifundefined{@TitleHead}{\TitleHead{#1}}{}}
+\def\TitleHead#1{\def\@TitleHead{#1}}
+\def\dedicatory#1{\gdef\@dedicatory{#1}}
+
+\def\author#1{\gdef\@author{#1}
+	\@ifundefined{@AuthorHead}{\AuthorHead{#1}}{}}
+\def\AuthorHead#1{\def\@AuthorHead{#1}}
+
+
+
+\def\VolumeNo#1{%
+  \def\@VolumeNo{#1}
+}
+\def\YearNo#1{%
+  \def\@YearNo{#1}
+}
+\def\PagesNo#1{%
+  \def\@PagesNo{#1}
+}
+\VolumeNo{\null}
+\YearNo{\null}
+\PagesNo{\null}
+
+
+\def\communication#1{\def\@comm{#1}}
+\communication{\null}
+
+
+\def\classification#1{\def\@class{#1}}
+\classification{\null}
+
+\def\keywords#1{\gdef\@keywords{#1}}
+
+\def\support#1{\gdef\@support{#1}}
+
+%%%\def\keywords#1{%
+%%%  \def\@keywords{#1}%
+%%%}
+
+\newif\ifCopyNRes
+\global\CopyNResfalse%
+
+\def\volyr{2004}%
+
+\gdef\FooterText{\ifnum\currentpageno=\c@page%
+\ifCopyNRes%
+  \vbox{\footnotesize%
+    \hbox to\textwidth{\hfill Published by Research Institute for Mathematical Sciences, Kyoto University.}%
+    \hbox to\textwidth{\hfill}%
+       }%
+\else%
+  \vbox{\footnotesize%
+    \hbox to\textwidth{}%
+       }%
+\fi%
+\else%
+\fi}%
+
+
   \def\ps@headings{%
-    \let\@oddfoot\@empty
-    \def\@oddhead{{\slshape\rightmark}\hfil\thepage}%
-    \let\@mkboth\markboth
-    \def\sectionmark##1{%
-      \markright {\MakeUppercase{%
-        \ifnum \c@secnumdepth >\m@ne
-          \thesection\quad
-        \fi
-        ##1}}}}
-\fi
+      \def\@oddfoot{\FooterText}%
+      \def\@evenfoot{\FooterText}%
+      \def\@evenhead{\footnotesize\thepage\hfil\scshape\@AuthorHead\hfil}%
+      \def\@oddhead{\footnotesize\hfil{\scshape\@TitleHead}\hfil\thepage}}
 \def\ps@myheadings{%
-    \let\@oddfoot\@empty\let\@evenfoot\@empty
-    \def\@evenhead{\thepage\hfil\slshape\leftmark}%
-    \def\@oddhead{{\slshape\rightmark}\hfil\thepage}%
+      \def\@oddfoot{\FooterText}%
+      \def\@evenfoot{\FooterText}%
+      \def\@evenhead{\footnotesize\thepage\hfil\scshape\@AuthorHead\hfil}%
+%%%from fancyheadings.sty%%%
+      \def\@oddhead{\scriptsize %
+                   \hbox to\textwidth{\vbox{\hbox
+                   {\rlap{\parbox[b]{\textwidth}%
+                   {\raggedright{\it{}}
+                   \strut}}}%
+                    {\bf{\@VolumeNo}} , \@PagesNo \hfil}}}%
     \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}%
-    {\LARGE \@title \par}%
-    \vskip 3em%
-    {\large
-     \lineskip .75em%
-      \begin{tabular}[t]{c}%
-        \@author
-      \end{tabular}\par}%
-      \vskip 1.5em%
-    {\large \@date \par}%       % Set date in \large size.
-  \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\@author\@empty
-  \global\let\@date\@empty
-  \global\let\@title\@empty
-  \global\let\title\relax
-  \global\let\author\relax
-  \global\let\date\relax
-  \global\let\and\relax
-}
-\else
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\def\@@fnsymbol#1{\ensuremath{\ifcase#1\or *\or **\or *{**}\or \dagger\or
+   \ddagger\or \mathsection\or \mathparagraph\or \dagger\dagger
+   \or \ddagger\ddagger \else\@ctrerr\fi}}
+
+\newcount\currentpageno%
+
 \newcommand\maketitle{\par
+\currentpageno\c@page%
+  \thispagestyle{myheadings}
   \begingroup
-    \renewcommand\thefootnote{\@fnsymbol\c@footnote}%
+    \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
+%%%
+                \hss\@textsuperscript{\normalfont\@thefnmark}}%
+                \@tempdima\columnwidth%
+                \advance\@tempdima-1.8em%
+                \parbox[t]{\@tempdima}{##1}
+    }
+%%%
       \newpage
       \global\@topnum\z@   % Prevents figures from going at top of page.
       \@maketitle
-    \fi
-    \thispagestyle{plain}\@thanks
+  \@thanks
   \endgroup
   \setcounter{footnote}{0}%
   \global\let\thanks\relax
@@ -233,49 +349,76 @@
   \global\let\@author\@empty
   \global\let\@date\@empty
   \global\let\@title\@empty
+  \global\let\@dedicatory\@empty
+  \global\let\@support\@empty
   \global\let\title\relax
+  \global\let\dedicatory\relax
+  \global\let\support\relax
   \global\let\author\relax
-  \global\let\date\relax
-  \global\let\and\relax
+  \global\let\@keywords\@empty
+  \global\let\keywords\relax
 }
+
 \def\@maketitle{%
   \newpage
   \null
-  \vskip 2em%
-  \begin{center}%
+  \vskip 2pt%%%
+  \begin{center}%%%
   \let \footnote \thanks
-    {\LARGE \@title \par}%
-    \vskip 1.5em%
-    {\large
-      \lineskip .5em%
-      \begin{tabular}[t]{c}%
-        \@author
-      \end{tabular}\par}%
-    \vskip 1em%
-    {\large \@date}%
-  \end{center}%
+    {\Large\bfseries \@title \par}%
+    \@ifundefined{@dedicatory}%
+      {}{\vskip \baselineskip {\normalsize\itshape \@dedicatory \par}}%
+    \vskip 20pt%%%
+    {\footnotesize By \par}
+    \vskip 10pt%%%
+    {\normalsize    \@author \par}
+  \end{center}
+  %\footnote[0]{Communicated by \@comm}
+  \footnote[0]{2000 Mathematics Subject Classification(s): \@class}
+  \@ifundefined{@keywords}%
+      {}{\footnotetext[0]{\@keywords}}%
+  \@ifundefined{@support}%
+      {}{\footnotetext[0]{\@support}}%
+  }
+
+\newenvironment{abstract}
+{	\vspace*{4pt}
+	\begingroup
+	\begin{center}
+	\centerline{\normalsize\bfseries Abstract}
+	\end{center}
+	\par\small
+}{%
   \par
-  \vskip 1.5em}
-\fi
-\setcounter{secnumdepth}{3}
-\newcounter {part}
-\newcounter {section}
-\newcounter {subsection}[section]
-\newcounter {subsubsection}[subsection]
-\newcounter {paragraph}[subsubsection]
-\newcounter {subparagraph}[paragraph]
+	\endgroup
+	\vspace{13.5pt}%
+}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%from latex.ltx
+%%%\def\@seccntformat#1{\csname the#1\endcsname\quad}
+%%%this command cause blank space (\quad) before title,
+%%%even if no chapter mark is setted.
+\def\@seccntformat#1{\csname the#1\endcsname}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \renewcommand \thepart {\@Roman\c@part}
 \renewcommand \thesection {\@arabic\c@section}
 \renewcommand\thesubsection   {\thesection.\@arabic\c@subsection}
 \renewcommand\thesubsubsection{\thesubsection .\@arabic\c@subsubsection}
 \renewcommand\theparagraph    {\thesubsubsection.\@arabic\c@paragraph}
-\renewcommand\thesubparagraph {\theparagraph.\@arabic\c@subparagraph}
-\newcommand\part{%
-   \if@noskipsec \leavevmode \fi
-   \par
+\renewcommand \thesubparagraph {\theparagraph.\@arabic\c@subparagraph.}
+
+
+\newcommand\part{\par
    \addvspace{4ex}%
    \@afterindentfalse
-   \secdef\@part\@spart}
+   \secdef\@part\@spart
+}

 \def\@part[#1]#2{%
     \ifnum \c@secnumdepth >\m@ne
@@ -288,7 +431,7 @@
      \interlinepenalty \@M
      \normalfont
      \ifnum \c@secnumdepth >\m@ne
-       \Large\bfseries \partname\nobreakspace\thepart
+       \Large\bfseries \partname~\thepart
        \par\nobreak
      \fi
      \huge \bfseries #2%
@@ -304,18 +447,135 @@
      \nobreak
      \vskip 3ex
      \@afterheading}
-\newcommand\section{\@startsection {section}{1}{\z@}%
-                                   {-3.5ex \@plus -1ex \@minus -.2ex}%
-                                   {2.3ex \@plus.2ex}%
-                                   {\normalfont\Large\bfseries}}
-\newcommand\subsection{\@startsection{subsection}{2}{\z@}%
-                                     {-3.25ex\@plus -1ex \@minus -.2ex}%
-                                     {1.5ex \@plus .2ex}%
-                                     {\normalfont\large\bfseries}}
-\newcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}%
-                                     {-3.25ex\@plus -1ex \@minus -.2ex}%
-                                     {1.5ex \@plus .2ex}%
-                                     {\normalfont\normalsize\bfseries}}
+
+\def\section{%\par
+   \addvspace{2mm}%%%{\baselineskip}
+   \@afterindenttrue
+   \secdef\@section\@ssection}
+\def\@section[#1]#2{%
+    \ifnum \c@secnumdepth >\m@ne
+      \refstepcounter{section}%
+      \addcontentsline{toc}{section}{\sectionname\thesection.\hspace{1em}#1}%
+    \else
+      \addcontentsline{toc}{section}{#1}%
+    \fi
+%%%
+    \if@nobreak%
+    	\vspace{-2mm}
+    \fi
+%%%
+    {\parindent \z@
+     \interlinepenalty \@M
+     \normalfont
+     \begin{center}
+     \ifnum \c@secnumdepth >\m@ne
+       \bfseries \sectionname\thesection.\quad%
+     \fi%
+     \bfseries #2
+      \end{center}}%
+    \nobreak
+%    \vskip \baselineskip
+    \@afterheading}%
+\def\@ssection#1{%
+%%%
+    \if@nobreak%
+    	\vspace{-2mm}
+    \fi
+%%%
+    {\parindent \z@
+     \interlinepenalty \@M
+     \normalfont
+     \begin{center}
+     \bfseries #1
+      \end{center}}%
+    \nobreak
+%    \vskip \baselineskip
+    \@afterheading}%
+
+\def\subsection{%\par
+   \addvspace{2mm}%%%{\baselineskip}
+   \@afterindenttrue
+   \secdef\@subsection\@ssubsection}
+\def\@subsection[#1]#2{%
+    \ifnum \c@secnumdepth >\m@ne
+      \refstepcounter{subsection}%
+      \addcontentsline{toc}{subsection}{\S\thesubsection.\hspace{1em}#1}%
+    \else
+      \addcontentsline{toc}{subsection}{#1}%
+    \fi
+%%%
+    \if@nobreak%
+    	\vspace{-2mm}
+    \fi
+%%%
+    {\parindent \z@
+     \interlinepenalty \@M
+     \normalfont
+     \begin{center}
+     \ifnum \c@secnumdepth >\m@ne
+       \bfseries \sectionname\thesubsection.\quad%
+     \fi%
+     \bfseries #2
+      \end{center}}%
+%    \vskip \baselineskip
+    \nobreak
+    \@afterheading}%
+\def\@ssubsection#1{%
+    {\parindent \z@
+     \interlinepenalty \@M
+     \normalfont
+     \begin{center}
+     \bfseries #1
+      \end{center}}%
+    \nobreak
+%    \vskip \baselineskip
+    \@afterheading}%
+%%%%
+\def\subsubsection{%
+   \addvspace{\baselineskip}%%%{2mm}
+   \@afterindenttrue
+   \secdef\@subsubsection\@ssubsubsection}
+\def\@subsubsection[#1]#2{%
+    \ifnum \c@secnumdepth >\m@ne
+      \refstepcounter{subsubsection}%
+      \addcontentsline{toc}{subsubsection}{\S\thesubsubsection.\hspace{1em}#1}%
+    \else
+      \addcontentsline{toc}{subsubsection}{#1}%
+    \fi
+%%%
+    \if@nobreak%
+    	\vspace{-4mm}
+    \fi
+%%%
+    {\parindent \z@
+     \interlinepenalty \@M
+     \normalfont
+     \ifnum \c@secnumdepth >\m@ne
+       \bfseries \thesubsubsection.\quad%
+     \fi%
+     \bfseries #2
+     }%
+    \@afterheading
+     }%
+\def\@ssubsubsection#1{%
+%%%
+    \if@nobreak%
+    	\vspace{-2mm}
+    \fi
+%%%
+    {\parindent \z@
+     \interlinepenalty \@M
+     \normalfont
+     \bfseries #1
+     }%
+    \@afterheading
+     }%
+%%%%
+%%%%%%%%%%%%%
+\def\@seccntformat#1{\csname the#1\endcsname\quad}
+%%%%%%%%%%%%%
+
+
 \newcommand\paragraph{\@startsection{paragraph}{4}{\z@}%
                                     {3.25ex \@plus1ex \@minus.2ex}%
                                     {-1em}%
@@ -324,22 +584,16 @@
                                        {3.25ex \@plus1ex \@minus .2ex}%
                                        {-1em}%
                                       {\normalfont\normalsize\bfseries}}
-\if@twocolumn
-  \setlength\leftmargini  {2em}
-\else
-  \setlength\leftmargini  {2.5em}
-\fi
+
+
+%%%\setlength\leftmargini  {2.5em}
+\setlength\leftmargini  {1.8em}%%% If itemlabel is wider, increase this.
 \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}
@@ -361,35 +615,14 @@
 \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}
-\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}%
-      \else
-        \small
-        \begin{center}%
-          {\bfseries \abstractname\vspace{-.5em}\vspace{\z@}}%
-        \end{center}%
-        \quotation
-      \fi}
-      {\if@twocolumn\else\endquotation\fi}
-\fi
+
 \newenvironment{verse}
                {\let\\\@centercr
                 \list{}{\itemsep      \z@
@@ -410,41 +643,23 @@
                {\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}%
-  \gdef\thesection{\@Alph\c@section}}
-\setlength\arraycolsep{5\p@}
+  \renewcommand\thesection{Appendix \@Alph\c@section}
+  \renewcommand\sectionname{}
+%%%  \addcontentsline{toc}{section}{\thesection.\hspace{1em}#1}%
+}%
+
+
+
+\setlength\arraycolsep{1\p@}
 \setlength\tabcolsep{6\p@}
 \setlength\arrayrulewidth{.4\p@}
 \setlength\doublerulesep{2\p@}
@@ -452,45 +667,49 @@
 \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\nobreakspace\thefigure}
+\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\nobreakspace\thetable}
+\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{0\p@}
 \long\def\@makecaption#1#2{%
   \vskip\abovecaptionskip
-  \sbox\@tempboxa{#1: #2}%
+  \sbox\@tempboxa{#1. #2}%
   \ifdim \wd\@tempboxa >\hsize
-    #1: #2\par
+    #1. #2\par
   \else
     \global \@minipagefalse
     \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}%
   \fi
   \vskip\belowcaptionskip}
+
 \DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
 \DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
 \DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
@@ -500,21 +719,21 @@
 \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}}%
+    \vspace*{-6.75pt}
+    \section*{\contentsname}%
     \@starttoc{toc}%
+    \vspace*{13.5pt}
     }
 \newcommand*\l@part[2]{%
   \ifnum \c@tocdepth >-2\relax
     \addpenalty\@secpenalty
     \addvspace{2.25em \@plus\p@}%
-    \setlength\@tempdima{3em}%
     \begingroup
       \parindent \z@ \rightskip \@pnumwidth
       \parfillskip -\@pnumwidth
@@ -530,46 +749,350 @@
 \newcommand*\l@section[2]{%
   \ifnum \c@tocdepth >\z@
     \addpenalty\@secpenalty
-    \addvspace{1.0em \@plus\p@}%
+    \addvspace{0.3em \@plus\p@}%%%% changed 20/06/2000
     \setlength\@tempdima{1.5em}%
     \begingroup
       \parindent \z@ \rightskip \@pnumwidth
       \parfillskip -\@pnumwidth
-      \leavevmode \bfseries
+      \leavevmode %\bfseries
       \advance\leftskip\@tempdima
       \hskip -\leftskip
-      #1\nobreak\hfil \nobreak\hb@xt@\@pnumwidth{\hss #2}\par
+      %#1\nobreak\hfil \nobreak\hb@xt@\@pnumwidth{\hss #2}\par
+      #1
+      \hfill\mbox{}
+      \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\@tocline[5]{%
+  \ifnum #1>\c@tocdepth \else
+    \vskip \z@ \@plus.2\p@
+    {\leftskip #2\relax \rightskip \@tocrmarg \parfillskip -\rightskip
+     \parindent #2\relax\@afterindenttrue
+     \interlinepenalty\@M
+     \leavevmode
+     \@tempdima #3\relax
+     \advance\leftskip \@tempdima \null\nobreak\hskip -\leftskip
+     {#4}
+     \hfill\mbox{}%
+     \par}%
+  \fi}
+
+\newcommand*\l@subsection{\@tocline{2}{1.5em}{2.3em}}
+\newcommand*\l@subsubsection{\@tocline{3}{3.8em}{3.2em}}
+\newcommand*\l@paragraph{\@tocline{4}{7.0em}{4.1em}}
+\newcommand*\l@subparagraph{\@tocline{5}{10em}{5em}}
 \newcommand\listoffigures{%
-    \section*{\listfigurename}%
+    \section*{\listfigurename
       \@mkboth{\MakeUppercase\listfigurename}%
-              {\MakeUppercase\listfigurename}%
+              {\MakeUppercase\listfigurename}}%
     \@starttoc{lof}%
     }
 \newcommand*\l@figure{\@dottedtocline{1}{1.5em}{2.3em}}
 \newcommand\listoftables{%
-    \section*{\listtablename}%
+    \section*{\listtablename
       \@mkboth{%
-          \MakeUppercase\listtablename}%
-         {\MakeUppercase\listtablename}%
+          \MakeUppercase\listtablename}{\MakeUppercase\listtablename}}%
     \@starttoc{lot}%
     }
 \let\l@table\l@figure
-\newdimen\bibindent
-\setlength\bibindent{1.5em}
+
+
+
+
+
+\renewcommand\footnoterule{
+  \kern-3\p@
+  \hrule\@width.4\columnwidth
+  \kern2.6\p@}
+%%%\newcommand\@makefntext[1]{
+%%%    \parindent 1em%
+%%%    \noindent
+%%%    \hb@xt@1.8em{\hss\@makefnmark}#1}
+\long\def\@makefntext#1{%
+    \parindent 1em%
+    \noindent
+    \hb@xt@1.8em{\hss\@makefnmark}%
+    \@tempdima\columnwidth%
+    \advance\@tempdima-1.8em%
+    \parbox[t]{\@tempdima}{#1}
+    }
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%\@ifpackageloaded{amsgen}{}{\input{amsgen.sty}}
+%%%        from amsgen.sty
+\let\@xp=\expandafter
+\let\@nx=\noexpand
+\def\@oparg#1[#2]{\@ifnextchar[{#1}{#1[#2]}}
+\long\def\@ifempty#1{\@xifempty#1@@..\@nil}
+\long\def\@xifempty#1#2@#3#4#5\@nil{%
+  \ifx#3#4\@xp\@firstoftwo\else\@xp\@secondoftwo\fi}
+\long\def\@ifnotempty#1{\@ifempty{#1}{}}
+\def\@addpunct#1{\ifnum\spacefactor>\@m \else#1\fi}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%% from  amsthm.sty [1996/10/24 v1.2d]
+\newcommand{\theoremstyle}[1]{%
+  \@ifundefined{th@#1}{%
+    \PackageWarning{amsthm}{Unknown theoremstyle `#1'}%
+    \thm@style{plain}%
+  }{%
+    \thm@style{#1}%
+  }%
+}
+\newtoks\thm@style
+\thm@style{plain}
+\newtoks\thm@bodyfont
+\thm@bodyfont{\itshape}
+\newtoks\thm@headfont
+\thm@headfont{\bfseries}
+\newtoks\thm@notefont
+\thm@notefont{}
+\newtoks\thm@headpunct
+\thm@headpunct{.}
+\newtoks\thm@numberfont
+\thm@numberfont{\bfseries}
+%%%\newskip\thm@preskip \thm@preskip\topsep
+\newskip\thm@preskip \thm@preskip\abovedisplayskip
+%%%\newskip\thm@postskip \thm@postskip\topsep
+\newskip\thm@postskip \thm@postskip \belowdisplayskip
+\renewcommand{\newtheorem}{\@ifstar{\@xnthm *}{\@xnthm \relax}}
+\def\@xnthm#1#2{%
+  \let\@tempa\relax
+  \@xp\@ifdefinable\csname #2\endcsname{%
+    \global\@xp\let\csname end#2\endcsname\@endtheorem
+    \ifx *#1% unnumbered, need to get one more mandatory arg
+      \edef\@tempa##1{%
+        \gdef\@xp\@nx\csname#2\endcsname{%
+          \@nx\@thm{\@xp\@nx\csname th@\the\thm@style\endcsname}%
+            {}{##1}}}%
+    \else % numbered theorem, need to check for optional arg
+      \def\@tempa{\@oparg{\@ynthm{#2}}[]}%
+    \fi
+  }%
+  \@tempa
+}
+\def\@ynthm#1[#2]#3{%
+  \ifx\relax#2\relax
+    \def\@tempa{\@oparg{\@xthm{#1}{#3}}[]}%
+  \else
+    \@ifundefined{c@#2}{%
+      \def\@tempa{\@nocounterr{#2}}%
+    }{%
+      \@xp\xdef\csname the#1\endcsname{\@xp\@nx\csname the#2\endcsname}%
+      \toks@{#3}%
+      \@xp\xdef\csname#1\endcsname{%
+        \@nx\@thm{%
+          \let\@nx\thm@swap
+            \if S\thm@swap\@nx\@firstoftwo\else\@nx\@gobble\fi
+          \@xp\@nx\csname th@\the\thm@style\endcsname}%
+            {#2}{\the\toks@}}%
+      \let\@tempa\relax
+    }%
+  \fi
+  \@tempa
+}
+\def\@xthm#1#2[#3]{%
+  \ifx\relax#3\relax
+    \newcounter{#1}%
+  \else
+    \newcounter{#1}[#3]%
+    \@xp\xdef\csname the#1\endcsname{\@xp\@nx\csname the#3\endcsname
+      \@thmcountersep\@thmcounter{#1}}%
+  \fi
+  \toks@{#2}%
+  \@xp\xdef\csname#1\endcsname{%
+    \@nx\@thm{%
+      \let\@nx\thm@swap
+        \if S\thm@swap\@nx\@firstoftwo\else\@nx\@gobble\fi
+      \@xp\@nx\csname th@\the\thm@style\endcsname}%
+      {#1}{\the\toks@}}%
+}
+\def\@thm#1#2#3{\normalfont
+  \trivlist
+  \edef\@restorelabelsep{\labelsep\the\labelsep}%
+  \labelsep.5em\relax \let\thmheadnl\relax
+%%%  \let\thm@indent\noindent % no indent
+  \let\thm@indent\indent % no indent
+  \let\thm@swap\@gobble
+  \thm@headfont{\bfseries}% heading font bold
+  \thm@numberfont{\bfseries}% heading font bold
+  \thm@headpunct{.}% add period after heading
+%%%  \thm@preskip\topsep
+  \thm@preskip \abovedisplayskip
+  \thm@postskip\thm@preskip
+  #1% style overrides
+  \@topsep \thm@preskip               % used by first \item
+  \@topsepadd \thm@postskip           % used by \@endparenv
+  \def\@tempa{#2}\ifx\@empty\@tempa
+    \def\@tempa{\@oparg{\@begintheorem{#3}{}}[]}%
+  \else
+    \refstepcounter{#2}%
+    \def\@tempa{\@oparg{\@begintheorem{#3}{\csname the#2\endcsname}}[]}%
+  \fi
+  \@tempa
+}
+\let\@ythm\relax
+\let\thmname\@iden \let\thmnote\@iden \let\thmnumber\@iden
+\providecommand\@upn{\textup}
+\def\thmhead@plain#1#2#3{%
+%%%  \thmname{#1}\thmnumber{\@ifnotempty{#1}{ }#2}%
+  \thmname{#1}\thmnumber{\@ifnotempty{#1}{ }#2}%
+%%%  \thmnote{ {\the\thm@notefont(#3)}}}
+  \thmnote{ {\the\thm@notefont #3}}}
+\let\thmhead\thmhead@plain
+\def\swappedhead#1#2#3{%
+  \thmnumber{#2}\thmname{\@ifnotempty{#2}{. }#1}%
+%%%  \thmnote{ {\the\thm@notefont(#3)}}}
+  \thmnote{ {\the\thm@notefont #3}}}
+\let\thmheadnl\relax
+\def\@begintheorem#1#2[#3]{%
+  \item[\normalfont % reset in case body font is abnormal
+  \hskip\labelsep
+  \the\thm@headfont
+  \thm@indent
+  \@ifempty{#1}{\let\thmname\@gobble}{\let\thmname\@iden}%
+  \@ifempty{#2}{\let\thmnumber\@gobble}{\let\thmnumber\@iden}%
+  \@ifempty{#3}{\let\thmnote\@gobble}{\let\thmnote\@iden}%
+%%%  \thm@swap\swappedhead\thmhead{#1}{#2}{#3}%
+  \thm@swap\swappedhead\thmhead{#1}
+  {\the\thm@numberfont{#2}}
+  {\rm{#3}}%
+%%%  \the\thm@headpunct]%
+  \the\thm@headpunct] \quad%
+  \@restorelabelsep
+  \thmheadnl % possibly a newline.
+  \ignorespaces}
+\def\nonslanted{\relax
+  \@xp\let\@xp\@tempa\csname\f@shape shape\endcsname
+  \ifx\@tempa\itshape\upshape
+  \else\ifx\@tempa\slshape\upshape\fi\fi}
+\def\swapnumbers{\edef\thm@swap{\if S\thm@swap N\else S\fi}}
+\def\thm@swap{N}%
+\let\@opargbegintheorem\relax
+%%%
+%%% plain %%%%%%%%%%%%%%%%%%%
+\def\th@plain{%
+%%  \let\thm@indent\noindent % no indent
+%%  \thm@headfont{\bfseries}% heading font is bold
+%%  \thm@numberfont{\bfseries}% number font is bold
+%%  \thm@notefont{}% same as heading font
+%%  \thm@headpunct{.}% add period after heading
+%%  \let\thm@swap\@gobble
+%%  \thm@preskip\topsep
+%%  \thm@postskip\theorempreskipamount
+  \itshape % body font
+}
+%%%
+%%% definition %%%%%%%%%%%%%%
+\def\th@definition{%
+  \normalfont % body font
+}
+%%%
+%%% remark %%%%%%%%%%%%%%%%%%
+\def\th@remark{%
+  \thm@headfont{\itshape}%
+%%%  \thm@numberfont{\itshape}%
+  \thm@numberfont{\rm}%
+  \normalfont % body font
+%%%  \thm@preskip\topsep
+  \thm@preskip \abovedisplayskip
+%%%  \divide\thm@preskip\tw@
+  \thm@postskip\thm@preskip
+}
+%%%
+\def\@endtheorem{\endtrivlist\@endpefalse }
+\newcommand{\newtheoremstyle}[9]{%
+  \@ifempty{#5}{\dimen@\z@skip}{\dimen@#5\relax}%
+  \ifdim\dimen@=\z@
+%%%    \toks@{#4\let\thm@indent\noindent}%
+    \toks@{#4\let\thm@indent\indent}%
+  \else
+%%%    \toks@{#4\def\thm@indent{\noindent\hbox to#5{}}}%
+    \toks@{#4\def\thm@indent{\indent\hbox to#5{}}}%
+  \fi
+  \def\@tempa{#8}\ifx\space\@tempa
+    \toks@\@xp{\the\toks@ \labelsep\fontdimen\tw@\font\relax}%
+  \else
+    \def\@tempb{\newline}%
+    \ifx\@tempb\@tempa
+      \toks@\@xp{\the\toks@ \labelsep\z@skip
+        \def\thmheadnl{%
+          \@noskipsectrue \global\@nobreaktrue
+          \everypar{\global\@minipagefalse \global\@newlistfalse
+            \global\@inlabelfalse \global\@nobreakfalse
+            {\setbox\z@\lastbox}\box\@labels\par
+            \nobreak\vskip-\parskip
+            \everypar{}\noindent}}%
+      }%
+    \else
+      \toks@\@xp{\the\toks@ \labelsep#8\relax}%
+    \fi
+  \fi
+  \begingroup \th@plain % to set \thm@preskip and postskip
+  \@defaultunits\@tempskipa#2\thm@preskip\relax\@nnil
+  \@defaultunits\@tempskipb#3\thm@postskip\relax\@nnil
+  \xdef\@gtempa{\thm@preskip\the\@tempskipa
+    \thm@postskip\the\@tempskipb\relax}%
+  \endgroup
+  \@temptokena\@xp{\@gtempa
+    \thm@headfont{#6}\thm@headpunct{#7}%
+  }%
+  \@ifempty{#9}{%
+    \let\thmhead\thmhead@plain
+  }{%
+    \@namedef{thmhead@#1}##1##2##3{#9}%
+    \@temptokena\@xp{\the\@temptokena
+      \@xp\let\@xp\thmhead\csname thmhead@#1\endcsname}%
+  }%
+  \@xp\xdef\csname th@#1\endcsname{\the\toks@ \the\@temptokena}%
+}
+%%% Proof %%%%%%%%%%%%%%%%%%%%
+\DeclareRobustCommand{\qed}{%
+  \ifmmode % if math mode, assume display: omit penalty etc.
+  \else \leavevmode\unskip\penalty9999 \hbox{}\nobreak\hfill
+  \fi
+  \quad\hbox{\qedsymbol}}
+\newcommand{\openbox}{\leavevmode
+  \hbox to.77778em{%
+  \hfil\vrule
+  \vbox to.675em{\hrule width.6em\vfil\hrule}%
+  \vrule\hfil}}
+\newcommand{\qedsymbol}{\openbox}
+\newenvironment{proof}[1][\proofname]{\par
+%%%  \vskip \abovedisplayskip%
+  \vskip \parsep%
+  \normalfont
+%%%  \topsep6\p@\@plus6\p@ \trivlist
+%%%  \item[\hskip\labelsep\itshape
+%%%    #1\@addpunct{.}]\ignorespaces
+  {\itshape
+  #1\@addpunct{.}}\quad\mdseries \ignorespaces
+}{%
+  \qed%\endtrivlist
+  {\vskip \belowdisplayskip}
+}
+\newcommand{\proofname}{Proof}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%% end  amsthm.sty [1996/10/24 v1.2d]  by  HIK NACOS
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+
+
+
 \newenvironment{thebibliography}[1]
-     {\section*{\refname}%
+     {\vspace{20pt}
+     \section*{\refname
       \@mkboth{\MakeUppercase\refname}{\MakeUppercase\refname}%
+        \addcontentsline{toc}{section}{References}}%
+      \footnotesize%%%
       \list{\@biblabel{\@arabic\c@enumiv}}%
-           {\settowidth\labelwidth{\@biblabel{#1}}%
+           {%
+            \setlength{\parsep}{0pt}%%%
+            \setlength{\itemsep}{0pt}%%%
+            \settowidth\labelwidth{\@biblabel{#1}}%
             \leftmargin\labelwidth
             \advance\leftmargin\labelsep
-            \@openbib@code
             \usecounter{enumiv}%
             \let\p@enumiv\@empty
             \renewcommand\theenumiv{\@arabic\c@enumiv}}%
@@ -582,7 +1105,16 @@
        {\@latex@warning{Empty `thebibliography' environment}}%
       \endlist}
 \newcommand\newblock{\hskip .11em\@plus.33em\@minus.07em}
-\let\@openbib@code\@empty
+
+\def\@lbibitem[#1]#2{\item[\hfill\@biblabel{#1}]\if@filesw
+      {\let\protect\noexpand
+       \immediate
+       \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}
+
+\providecommand{\bysame}{\leavevmode\hbox to3em{\hrulefill}\thinspace}
+
+
+
 \newenvironment{theindex}
                {\if@twocolumn
                   \@restonecolfalse
@@ -602,14 +1134,9 @@
 \newcommand\subitem{\@idxitem \hspace*{20\p@}}
 \newcommand\subsubitem{\@idxitem \hspace*{30\p@}}
 \newcommand\indexspace{\par \vskip 10\p@ \@plus5\p@ \@minus3\p@\relax}
-\renewcommand\footnoterule{%
-  \kern-3\p@
-  \hrule\@width.4\columnwidth
-  \kern2.6\p@}
-\newcommand\@makefntext[1]{%
-    \parindent 1em%
-    \noindent
-    \hb@xt@1.8em{\hss\@makefnmark}#1}
+
+
+
 \newcommand\contentsname{Contents}
 \newcommand\listfigurename{List of Figures}
 \newcommand\listtablename{List of Tables}
@@ -618,27 +1145,28 @@
 \newcommand\figurename{Figure}
 \newcommand\tablename{Table}
 \newcommand\partname{Part}
+\newcommand\sectionname{\S}
 \newcommand\appendixname{Appendix}
-\newcommand\abstractname{Abstract}
+
+
+\newcommand\dash{%
+  \raise .65ex\hbox{\vrule width 36pt height 0.4pt depth 0pt}}
+
+
 \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{10\p@}
 \setlength\columnseprule{0\p@}
-\pagestyle{plain}
+\pagestyle{headings}
 \pagenumbering{arabic}
-\if@twoside
-\else
-  \raggedbottom
-\fi
-\if@twocolumn
-  \twocolumn
-  \sloppy
-  \flushbottom
-\else
-  \onecolumn
-\fi
+\normalfont
+\normalsize
+
+\newcommand{\bm}[1]{\hbox{\boldmath$#1$}}%
+\newcommand{\sbm}[1]{\hbox{\scriptsize\boldmath$#1$}}%
+
 \endinput
 %%
 %% End of file `article.cls'.

 

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