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\NeedsTeXFormat{LaTeX2e}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%% ita class for LaTeX2e %%
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%%% Pierre Damphousse %%
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%%% Copyright (C) EDP Sciences %%
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%%% Version 1.2. September 2002 %%
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%%% tex-support@edpsciences.com %%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%% --> THE CLASS OPTION MATERIAL
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%% --> THE CLASS PRESENTATION MATERIAL
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%% --> THE SECTIONING MATERIAL
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%% --> THE METRIC DATA
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%% --> THE TOP MATTER MATERIAL
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%---- (A) The MAKETITLE command and its components
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%---- (B) Preparing the MAKETITLE components
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% -1- Heading
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% -2- Title and Running Title
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% -3- Authors and Running authors
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% -4- Date
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% -5- Subject Class
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% -6- Resume
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% -7- Abstract
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% -8- Address (\address, given after the \author command)
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% -9- Thanks (given after the title: \thanks)
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%% --> MISCELLANEOUS
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%% --> MESSAGES
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%% --> VARIOUS MACROS
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%---- (A) LATIN ABBREVIATIONS
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%---- (B) REFERENCES
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%---- (C) NEWTHEOREM AND ENVIRONMENTS
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%---- (D) MATHEMATICS
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%
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%%-----------------------------------------------------------------------------
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%% --> THE CLASS OPTION MATERIAL
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%%-----------------------------------------------------------------------------
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\ProvidesClass{ita}[1999/03/01 v1.1 EDP-Sciences]
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\DeclareOption*{\PassOptionsToClass{\CurrentOption}{amsart}}
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\ProcessOptions\relax
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%%-----------------------------------------------------------------------------
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%% --> THE CLASS PRESENTATION MATERIAL
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%%-----------------------------------------------------------------------------
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\LoadClass[reqno]{amsart}[1996/10/24]
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\RequirePackage{cite}
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%%-----------------------------------------------------------------------------
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%% --> THE SECTIONING MATERIAL
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%%-----------------------------------------------------------------------------
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\def\section{\@startsection{section}{1}\z@{1.2\linespacing\@plus\linespacing}%
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{\linespacing} {\fontsize{12}{14}\selectfont\scshape\centering}}
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\def\subsection{\@startsection{subsection}{2}\z@{\linespacing\@plus.8\linespacing}%
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{.8\linespacing}{\fontsize{10}{12}\selectfont\scshape}}
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\def\subsubsection{\@startsection{subsubsection}{3}\z@{.7\linespacing\@plus.5\linespacing}%
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{.5\linespacing}{\normalfont\itshape}}
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\def\paragraph{\@startsection{paragraph}{4}\z@\z@{-\fontdimen2\font}\normalfont}
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\def\subparagraph{\@startsection{subparagraph}{5}\z@\z@{-\fontdimen2\font}\normalfont}
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%%-----------------------------------------------------------------------------
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%% --> THE METRIC DATA
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%%-----------------------------------------------------------------------------
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\setlength\oddsidemargin {15pt}\setlength\evensidemargin{15pt}
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\setlength{\textwidth}{125mm}\setlength{\textheight}{190mm}
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\setlength{\headheight}{18pt}
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%%-----------------------------------------------------------------------------
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%% --> THE TOP MATTER MATERIAL
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%%-----------------------------------------------------------------------------
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% = = = = = = = = = = = = = = = = = = = =
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%---- (A) The MAKETITLE command and its components
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\def\@maketitle{%
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\normalfont\normalsize
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\let\@makefnmark\relax \let\@thefnmark\relax
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\global\def\shorttitle{\@MSSG@RNNGTTL}
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\global\def\shortauthors{\@MSSG@RNNGTHR}
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\@mkboth{\@nx\shortauthors}{\@nx\shorttitle}%
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\global\topskip42\p@\relax
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\@SKIP@Aa
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\vbox{\hbox to\hsize{{\fontsize{10}{12}\selectfont{\bf\@NMJRNL@E}}\hfill%
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{\fontsize{8}{9}\selectfont\@JRNL@X}}
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\hbox to\hsize{\fontsize{8}{9}\selectfont{\@NMJRNL@F}\hfill}}
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\@SKIP@Ab
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\@setkeywords
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\@settitle
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\@setauthors
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\@setabstract
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\@setresume
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\@setsubjclass
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\normalsize
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\if@titlepage\newpage\else\dimen@34\p@\advance\dimen@-\baselineskip\vskip\dimen@\relax\fi
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\gdef\thanks##1{\relax}\gdef\address##1{\relax}
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}% end \@maketitle
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% = = = = = = = = = = = = = = = = = = = =
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%---- (B) Preparing the MAKETITLE components
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%................ ................ ................ ................ ................
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% -1- Heading
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%................ ................ ................ ................ ................
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\def\@SKIP@Aa{\vspace*{-1.5cm}}%
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\def\@SKIP@Ab{\vspace*{1.5cm}}%
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\def\@NMJRNL@F{{Informatique Th\'eorique et Applications}}%
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\def\@NMJRNL@E{{Theoretical Informatics and Applications}}%
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\def\@JRNL@X{{Will be set by the publisher}}%
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\def\idline#1page#2{\global\def\@JRNL@X{#1}\setcounter{page}{#2}}
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%................ ................ ................ ................ ................
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% -2- Title and Running Title
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%................ ................ ................ ................ ................
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\def\@settitle{\begin{center}\fontsize{11}{15}\selectfont\bfseries
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\uppercasenonmath\@title\@title\@thnks@i\@thnks@ii\@thnks@iii\@thnks@iv\@thnks@v
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\ifnum\the\@c@thnks@=0\else\footnote{\box\@b@thnks@}\fi
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\end{center}}
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\newbox\@b@rnngttl
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\def\runningtitle#1{\setbox\@b@rnngttl=\hbox{\fontsize{7}{9}\selectfont\rm\uppercase{#1}}}
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%................ ................ ................ ................ ................
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% -3- Authors and Running authors
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%................ ................ ................ ................ ................
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\def\@setauthors{\begingroup\trivlist
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\centering\footnotesize \@topsep30\p@\relax\advance\@topsep by -\baselineskip
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\item\relax\fontsize{12}{14}\selectfont\scshape\@@th@rs\ignorespaces
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\footnote{\box\@b@ddrss@}\endtrivlist\endgroup}
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\def\email#1{{e-mail: \tt#1}}
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\newbox\@b@rnngthr
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\def\runningauthors#1{\setbox\@b@rnngthr=\hbox{#1}%
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\global\def\@rnngthrs{\fontsize{7}{9}\selectfont\rm\uppercase{#1}}}
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\newcount\@c@thr@\@c@thr@=0
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\def\author#1{\global\advance\@c@thr@ by 1
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\global\expandafter\edef\csname @thr@\romannumeral\@c@thr@\endcsname{#1}
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\global\expandafter\edef\csname @Mthr@\romannumeral\@c@thr@\endcsname{\uppercase{#1}}
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\global\expandafter\def\csname @ddrss@\romannumeral\@c@thr@\endcsname{}
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\global\expandafter\def\csname @scndddrss@\romannumeral\@c@thr@\endcsname{}
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\global\expandafter\def\csname @smddrss@\romannumeral\@c@thr@\endcsname{}}%\author
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% Elaborating the two author lists (First page and heading)
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\newcount\@y\newcount\@x
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\def\@cnjctn{\ifnum\the\@c@thr@=1\null\else{{\ and\ }}\fi}
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\def\@Mcnjctn{\ifnum\the\@c@thr@=1\null\else{{\ AND\ }}\fi}
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\def\@@th@rs{\@x=0\global\@y=\@c@thr@\global\advance\@y by -1
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\loop\advance\@x by 1
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\ifnum\the\@x<\the\@y\csname @thr@\romannumeral\@x\endcsname\ignorespaces
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${}^{\csname @ddrss@\romannumeral\@x\endcsname
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\csname @smddrss@\romannumeral\@x\endcsname
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\csname @scndddrss@\romannumeral\@x\endcsname}$,
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\repeat
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\csname @thr@\romannumeral\@y\endcsname\ignorespaces
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${}^{\csname @ddrss@\romannumeral\@y\endcsname
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\csname @smddrss@\romannumeral\@y\endcsname
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\csname @scndddrss@\romannumeral\@y\endcsname}$\@cnjctn
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\csname @thr@\romannumeral\@c@thr@\endcsname\ignorespaces
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${}^{\csname @ddrss@\romannumeral\@c@thr@\endcsname
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\csname @smddrss@\romannumeral\@c@thr@\endcsname
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\csname @scndddrss@\romannumeral\@c@thr@\endcsname}$}%\@@th@rs
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\def\M@@th@rs{\@x=0\global\@y=\@c@thr@\global\advance\@y by -1
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\loop\advance\@x by 1
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\ifnum\the\@x<\the\@y\csname @Mthr@\romannumeral\@x\endcsname,
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\repeat
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\csname @Mthr@\romannumeral\@y\endcsname\@Mcnjctn
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\csname @Mthr@\romannumeral\@c@thr@\endcsname}%\M@@th@rs
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\def\@qq#1#2{\vrule height#1 depth#2 width0pt}
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%................ ................ ................ ................ ................
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% -4- Date and editor
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%................ ................ ................ ................ ................
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\let\@date\@empty
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\def\@setdate{\noindent\fontsize{8}{10}\selectfont\hbox{\@date\@addpunct.}}
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\def\editor#1{\def\@editor{#1}}
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\let\@editor\@empty
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\def\@seteditor{\vskip6\p@\noindent\fontsize{8}{10}\selectfont\noindent\hbox{Communicated by
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\@editor\@addpunct.}}
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%................ ................ ................ ................ ................
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% -5- Subject Class
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%................ ................ ................ ................ ................
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%
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\def\@setsubjclass{\skip@20\p@\advance\skip@-\lastskip\advance\skip@-\baselineskip\vskip\skip@
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\moveright 3pc\hbox{{\bfseries\subjclassname.}\enspace \@subjclass \@addpunct.}} %
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\renewcommand{\subjclassname}{AMS Subject Classification}
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%
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\newbox\@b@kwrds
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\def\keywords#1{\global\setbox\@b@kwrds\vtop{\advance\hsize by-12pt
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\noindent\footnotesize\textit{\@MSSG@KWRD@0K}#1\@qq{0pt}{4pt}}}
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\def\@setkeywords{\ifvoid\@b@kwrds\else\footnote{\box\@b@kwrds}\fi}
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%................ ................ ................ ................ ................
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% -6- Resume
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%................ ................ ................ ................ ................
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\newbox\resumebox
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\newenvironment{resume}{\ifx\maketitle\relax\ClassWarning{\@classname}{\@MSSG@CLSSWRNG}\fi
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\global\setbox\resumebox=\vtop\bgroup\fontsize{9}{11}\selectfont\advance \hsize -6pc
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\trivlist
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\labelsep.5em\item[\hskip\labelsep{\scshape\fontsize{10}{12}\selectfont\bf R\'esum\'e}.]}
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{\endtrivlist\egroup\ifx\@setresume\relax \@setresumea \fi}
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\def\@setresume{\@setresumea\global\let\@setresume\relax}
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\def\@setresumea{\skip@20\p@\advance\skip@-\lastskip\advance\skip@-\baselineskip \vskip\skip@
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\ifvoid\resumebox\else\moveright 3pc \box\resumebox\fi}
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%................ ................ ................ ................ ................
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% -7- Abstract
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%................ ................ ................ ................ ................
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\newbox\abstractbox
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\renewenvironment{abstract}{\ifx\maketitle\relax\ClassWarning{\@classname}{\@MSSG@CLSSWRNGBSTRCT}\fi
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\global\setbox\abstractbox=\vtop\bgroup\fontsize{9}{11}\selectfont
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\advance \hsize -6pc
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\trivlist
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\labelsep.5em\item[\hskip\labelsep{\scshape\fontsize{10}{12}\selectfont\bf Abstract}.]}
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{\endtrivlist\egroup\ifx\@setabstract\relax \@setabstracta \fi}
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\def\@setabstract{\@setabstracta\global\let\@setabstract\relax}
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\def\@setabstracta{\skip@20\p@ \advance\skip@-\lastskip \advance\skip@-\baselineskip \vskip\skip@
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\ifvoid\abstractbox{\hbox to\hsize{\kern3pc\fontsize{10}{12}
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\selectfont\bf \hbox to55pt{Abstract\hfill}\qquad\@MSSG@BSTRCT\hfill}}
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\else\moveright 3pc \box\abstractbox \fi}
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%................ ................ ................ ................ ................
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% Address (\address, given after the \author command)
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% -8- Same Address (\sameaddress, given after the \author command)
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% Second Address (\secondaddress, given after the \author command)
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%................ ................ ................ ................ ................
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\def\@spc{\kern1pt}\def\@spcc{\kern2pt}
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\newcount\@c@ddrss@\newbox\@b@ddrss@
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%
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\def\@dd@ddrss@#1{%
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\global\setbox51=\vbox{\advance\hsize by-12pt\unvbox\@b@ddrss@
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\vtop{\footnotesize\noindent{${}^{\the\@c@ddrss@}$\ }\@qq{10pt}{0pt}\textrm{#1}}}
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\global\setbox\@b@ddrss@=\vbox{\unvbox51}}%
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%
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\def\@dd@scndddrss@#1{%
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\global\setbox51=\vbox{\advance\hsize by-12pt\unvbox\@b@ddrss@
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\vtop{\footnotesize\noindent{${}^{\the\@c@ddrss@}$\ }\@qq{10pt}{0pt}\textrm{#1}}}
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\global\setbox\@b@ddrss@=\vbox{\unvbox51}}
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%
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\def\address#1{\global\advance\@c@ddrss@ by 1\@dd@ddrss@{#1}
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\expandafter\edef\csname @ddrss@\romannumeral\@c@thr@\endcsname{\@spc\number\@c@ddrss@}}
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\def\secondaddress#1{\global\advance\@c@ddrss@ by 1\@dd@ddrss@{#1}
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\expandafter\edef\csname @scndddrss@\romannumeral\@c@thr@\endcsname%
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{,\@spcc\number\@c@ddrss@}}%\secondaddress#1
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\def\sameaddress#1{\expandafter\edef\csname @smddrss@\romannumeral\@c@thr@\endcsname{\@spc{}#1}}
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%................ ................ ................ ................ ................
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% -9- Thanks (given in the title: \thanks)
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%................ ................ ................ ................ ................
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\def\@rmnnmrl#1{\ifcase#1\null\or*\or**\or***\or****\or*****\else\@MSSG@THNKS\fi}
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\def\@thnks@i{}\def\@thnks@ii{}\def\@thnks@iii{}\def\@thnks@iv{}\def\@thnks@v{}
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\newcount\@c@thnks@\newbox\@b@thnks@
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\def\@dd@thnks@#1{%
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\global\setbox50=\vbox{\advance\hsize by-12pt\unvbox\@b@thnks@
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\vtop{\noindent\footnotesize{${}^{\@rmnnmrl\@c@thnks@}$\ }\@qq{10pt}{0pt}\textit{#1}\hfill}}
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\global\setbox\@b@thnks@=\vbox{\unvbox50}}%
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\def\thanks#1{\global\advance\@c@thnks@ by 1\@dd@thnks@{#1}%
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\global\expandafter\edef\csname @thnks@\romannumeral\@c@thnks@\endcsname{%
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\ifnum\the\@c@thnks@=1\@spcc${}^{\@rmnnmrl\@c@thnks@}$\else$^{,\@spcc\@rmnnmrl\@c@thnks@}$\fi}}
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%%-----------------------------------------------------------------------------
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%% --> MISCELLANEOUS
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%%-----------------------------------------------------------------------------
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\DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal}
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%
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\renewcommand\normalsize{\@xsetfontsize\normalsize 6%
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\@adjustvertspacing \let\@listi\@listI
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\abovedisplayskip 11pt \@plus2pt \@minus2pt
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\belowdisplayskip \abovedisplayskip}
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%
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\def\ps@firstpage{\ps@plain
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\def\@oddfoot{\hfill{\scriptsize \copyright\ EDP Sciences 1999}}%
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\let\@evenfoot\@oddfoot\def\@oddhead{\null\hss}
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\let\@evenhead\@oddhead}% in case an article starts on a left-hand page
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%
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\def\ps@headings{\ps@empty
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\def\@evenhead{\normalfont\scriptsize\llap{\normalsize\thepage\kern-4pt}\hfil\scriptsize\leftmark{}{}\hfil}%
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\def\@oddhead{\normalfont\scriptsize\hfil\rightmark{}{}\hfil\rlap{\kern-4pt\normalsize{\thepage}}}%
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\let\@mkboth\markboth}
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\def\ps@myheadings{\ps@headings \let\@mkboth\@gobbletwo}\pagestyle{headings}
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%%-----------------------------------------------------------------------------
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%% --> MESSAGES
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%%-----------------------------------------------------------------------------
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\def\@MSSG@THNKS{At most 5 thanks allowed}
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\def\@MSSG@CLSSWRNGRSM{Resume should precede \protect\maketitle\space in AMS documentclasses; reported}
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\def\@MSSG@CLSSWRNGBSTRCT{Abstract should precede \protect\maketitle\space in AMS documentclasses;
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reported}
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\def\@MSSG@KWRD{{WARNING: --- Give at least one key words ---}}
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\def\@MSSG@KWRD@0K{{Keywords and phrases:\ }}
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\def\@MSSG@SBJCTCLSS{{--- Give AMS classification codes ---}}
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\def\@MSSG@RSM{{WARNING: --- Il est obligatoire de donner un r\'esum\'e en fran\c cais! ---}}
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\def\@MSSG@BSTRCT{{WARNING: --- An English abstract is mandatory! ---}}
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\def\@MSSG@DT{{(The dates will be set by the publisher)}}
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\def\@MSSG@DTR{{(The editor will be set by the publisher)}}
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%% September 2002
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\def\@MSSG@RNNGTTL{\uppercase{Title will be set by the publisher}}
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\def\@MSSG@RNNGTHR{\uppercase{Title will be set by the publisher}}
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%
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\def\@date{\@MSSG@DT}
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\def\@editor{\@MSSG@DTR}
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\def\@subjclass#1{\@MSSG@SBJCTCLSS}
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%%-----------------------------------------------------------------------------
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%% --> VARIOUS MACROS
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%%-----------------------------------------------------------------------------
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%................ ................ ................ ................ ................
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%---- (A) LATIN ABBREVIATIONS
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%................ ................ ................ ................ ................
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\def\cf{\emph{cf.\/}}\def\ie{\emph{i.e.\/}}\def\etc{\emph{etc\/}}
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\def\apriori{\emph{a priori\/}}\def\afortiori{\emph{a fortiori\/}}
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\def\loccit{\emph{a loc. cit.\/}}\def\etal{\emph{et al.\/}}
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\def\vg{\emph{v.g.\/}}
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%................ ................ ................ ................ ................
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%---- (B) REFERENCES
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%................ ................ ................ ................ ................
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\def\@Rref#1{\hbox{\rm \ref{#1}}}
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\def\Rref#1{\@Rref{#1}}
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%................ ................ ................ ................ ................
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%---- (C) NEWTHEOREM AND ENVIRONMENTS
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%................ ................ ................ ................ ................
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%-------------------
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\theoremstyle{plain}
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%-------------------
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\newtheorem{thrm}{Theorem}[section]
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\newtheorem{lmm}[thrm]{Lemma}
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\newtheorem{crllr}[thrm]{Corollary}
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\newtheorem{prpstn}[thrm]{Proposition}
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\newtheorem{crtrn}[thrm]{Criterion}
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\newtheorem{lgrthm}[thrm]{Algorithm}
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%------------------------
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\theoremstyle{definition}
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%------------------------
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\newtheorem{dfntn}[thrm]{Definition}
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\newtheorem{cnjctr}[thrm]{Conjecture}
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\newtheorem{xmpl}[thrm]{Example}
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\newtheorem{prblm}[thrm]{Problem}
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\newtheorem{rmrk}[thrm]{Remark}
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\newtheorem{nt}[thrm]{Note}
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\newtheorem{clm}[thrm]{Claim}
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\newtheorem{smmr}[thrm]{Summary}
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\newtheorem{cs}[thrm]{Case}
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\newtheorem{bsrvtn}[thrm]{Observation}
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%
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%-------------------
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\theoremstyle{plain}
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%-------------------
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\newenvironment{acknowledgement}{\par\addvspace{17pt}\small\rmfamily\noindent}{\par\addvspace{6pt}}
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%................ ................ ................ ................ ................
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%---- (D) MACROS FOR MATHEMATICS
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%................ ................ ................ ................ ................
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\def\xQuaternion{\mathbb{H}} \def\xC{\mathbb{C}} \def\xR{\mathbb{R}}
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\def\xQ{\mathbb{Q}} \def\xZ{\mathbb{Z}} \def\xN{\mathbb{N}}
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\def\xP{\mathbb{P}} \def\xA{\mathbb{A}}
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%--
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\def\xCzero{{\rm C}^{0}}
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\def\xCone{{\rm C}^{1}}
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\def\xCtwo{{\rm C}^{2}}
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\def\xCinfty{{\rm C}^{\infty}}
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\def\xCn#1{{\rm C}^#1}
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%--
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\def\xHzero{{\rm H}^{0}}
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\def\xHone{{\rm H}^{1}}
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\def\xHtwo{{\rm H}^{2}}
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\def\xHinfty{{\rm H}^{\infty}}
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\def\xHn#1{{\rm H}^#1}
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%
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\def\xWzero{{\rm W}^{0}}
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\def\xWone{{\rm W}^{1}}
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\def\xWtwo{{\rm W}^{2}}
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\def\xWinfty{{\rm W}^{\infty}}
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\def\xWn#1{{\rm W}^#1}
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%
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\def\xLzero{{\rm L}^{0}}
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\def\xLone{{\rm L}^{1}}
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\def\xLtwo{{\rm L}^{2}}
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\def\xLinfty{{\rm L}^{\infty}}
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\def\xLn#1{{\rm L}^#1}
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357 |
%--
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\def\xDif{{\rm D}}
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\def\xdif{\,{\rm d}}
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%--
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361 |
\def\xdrv#1#2{\frac{{\rm d}#1}{{\rm d}#2}}% "d#1 over d#2"
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\def\xDrv#1#2{\frac{{\rm d}}{{\rm d}#2}#1}% "d over d#2 #1"
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363 |
%--
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364 |
\def\xker{\mathop{\rm ker\,}\nolimits}
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\def\xcoker{\mathop{\rm coker\,}\nolimits}
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366 |
\def\xim{\mathop{\rm im\,}\nolimits}
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367 |
\def\xcoim{\mathop{\rm coim\,}\nolimits}
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368 |
\def\xdim{\mathop{\rm dim\,}\nolimits}
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\def\xcodim{\mathop{\rm codim\,}\nolimits}
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370 |
\def\xtr{\mathop{\rm tr\,}\nolimits}
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371 |
\def\xHom{\mathop{\rm Hom\,}\nolimits}
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\def\xExt{\mathop{\rm Ext\,}\nolimits}
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\def\xTor{\mathop{\rm Tor\,}\nolimits}
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374 |
%--
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375 |
\def\xGL{\mathop{\rm GL\,}\nolimits}
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\def\xSL{\mathop{\rm SL\,}\nolimits}
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377 |
\def\xPSL{\mathop{\rm PSL\,}\nolimits}
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378 |
\def\xSO{\mathop{\rm SO\,}\nolimits}
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379 |
\def\xSU{\mathop{\rm SU\,}\nolimits}
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380 |
%
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381 |
\def\xProof{
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382 |
\normalfont
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383 |
\medskip
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384 |
{\noindent\itshape Proof.\hspace*{6pt}\ignorespaces}}
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385 |
%
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386 |
\def\enddoc@text{\ifx\@empty\@translators \else\@settranslators\fi
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387 |
\ifx\@empty\@editor \else\@seteditor\\\fi
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388 |
\ifx\@empty\@date \else\@setdate\fi}
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389 |
%
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390 |
%
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391 |
\endinput
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