\NeedsTeXFormat{LaTeX2e}[1995/12/01]
\ProvidesClass{colloquium}[2005/4/5 v2.0 Colloquium del
Departamento de Analisis document class]
\newcommand\@ptsize{0}
\newif\if@beta\@betafalse
\newif\if@draft\@draftfalse
\newif\if@titlepage\@titlepagefalse
\newif\if@abstract\@abstractfalse
\newif\if@englishabstract\@englishabstracttrue
\newif\if@publish\@publishfalse
\newif\if@spaceafter\@spaceafterfalse
\newif\if@keywords\@keywordstrue
\newif\if@subject\@subjecttrue
\newif\if@title\@titletrue
\newif\if@links\@linksfalse
\newif\if@abstractonly\@abstractonlyfalse
\newif\if@aut\@autfalse
\DeclareOption{a4paper}
{\setlength\paperheight{297mm}\setlength\paperwidth{210mm}}
\@twosidetrue
\@mparswitchtrue
\DeclareOption{draft}{\setlength\overfullrule{5pt}\@drafttrue}
\DeclareOption{titlepage}{\@titlepagetrue}
\DeclareOption{publish}{\@publishtrue\@spaceaftertrue}
\DeclareOption{separata}{\@publishtrue}
\DeclareOption{beta}{\@betatrue}
\DeclareOption{links}{\@publishtrue\@linkstrue}
\DeclareOption{abstractonly}{\@publishtrue\@abstractonlytrue}
\ExecuteOptions{a4paper}
\ProcessOptions\relax
\input{size1\@ptsize.clo}
\setlength\lineskip{1\p@}\setlength\normallineskip{1\p@}
\renewcommand\baselinestretch{}\setlength\parskip%
{0\p@ \@plus \p@}\@lowpenalty51\@medpenalty151 \@highpenalty 301
\footskip48pt\headheight20pt\headsep12pt\textheight18cm
\setlength\topmargin{\paperheight}
\addtolength\topmargin{-2in}
\addtolength\topmargin{-\headheight}
\addtolength\topmargin{-\headsep}
\addtolength\topmargin{-\textheight}
\addtolength\topmargin{-\footskip}
\addtolength\topmargin{-.5\topmargin}
\@settopoint\topmargin\voffset-20mm
\setcounter{topnumber}{2}\renewcommand\topfraction{.7}
\setcounter{bottomnumber}{1}\renewcommand\bottomfraction{.3}
\setcounter{totalnumber}{3}\renewcommand\textfraction{.2}
\renewcommand\floatpagefraction{.5}
\setcounter{dbltopnumber}{2}\renewcommand\dbltopfraction{.7}
\renewcommand\dblfloatpagefraction{.5}
\def\ps@headings{%
\let\@oddfoot\empty\let\@evenfoot\empty
\def\@evenhead{A\thepage\hfil\slshape\leftmark}
\def\@oddhead{{\slshape\rightmark}\hfil B\thepage}
\let\@mkboth\markboth\def\sectionmark##1{%
\markboth {\MakeUppercase{%
\ifnum \c@secnumdepth >\z@ \thesectionp\quad \fi ##1}}{}}%
\def\subsectionmark##1{\markright {%
\ifnum\c@secnumdepth>\@ne\thesubsectionp\quad \fi ##1}}}
\def\@sect#1#2#3#4#5#6[#7]#8{\ifnum #2>\c@secnumdepth
     \def\@svsec{}\else
     \refstepcounter{#1}\edef\@svsec{\csname the#1\endcsname. \hskip 0em}\fi
     \@tempskipa #5\relax
      \ifdim \@tempskipa>\z@
        \begingroup #6\relax
          \@hangfrom{\hskip #3\relax\@svsec}{\interlinepenalty \@M #8\par}%
        \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  %% \relax added 2 May 90
                   \@svsec #8\csname #1mark\endcsname
                      {#7}\addcontentsline
                           {toc}{#1}{\ifnum #2>\c@secnumdepth \else
                             \protect\numberline{\csname the#1\endcsname.}\fi
                       #7}}\fi
     \@xsect{#5}}
\newcommand{\clearemptydoublepage}{\newpage{\thispagestyle{empty}%
\cleardoublepage}}
\AtBeginDocument{\maketitle\if@titlepage\else\makededicatory\fi}
\def\lacktable{\bigskip\begin{center}\fbox%
{\begin{minipage}{10cm}
\noindent This paper is lack of:\medskip
\if@title\\ \textbullet\quad Title (use command
\texttt{\textbackslash Title})\fi
\if@firstauthor\else\\ \textbullet\quad Author name (use command
\texttt{\textbackslash Author})\fi
\if@firstaddress\else\\ \textbullet\quad Author address (use command
\texttt{\textbackslash Address})\fi
\if@englishabstract\\ \textbullet\quad English abstract (use environment \texttt{abstract}))\fi
\if@keywords\\ \textbullet\quad Key words (use command
\texttt{\textbackslash Keywords})\fi
\if@subject\\ \textbullet\quad 2000 Mathematics Subject Classification (use
command \texttt{\textbackslash Subjectclass})\fi
\end{minipage}}\end{center}}
\AtEndDocument{\label{PagFin}%
\if@spaceafter\clearemptydoublepage\fi
\if@englishabstract\lacktable\else\if@keywords\lacktable\else%
\if@subject\lacktable\else\if@title\lacktable\else\if@firstauthor%
\if@firstaddress\else\lacktable\fi\else%
\lacktable\fi\fi\fi\fi\fi}
\RequirePackage{graphicx,amsmath,amsfonts,amssymb,amsthm}
\if@draft\IfFileExists{showframe.sty}{\RequirePackage{showframe}}{}\fi
\newcounter{table}
\newcounter{PrimePag}
\setcounter{PrimePag}{1}%
\newcounter{PagUno}
\def\RefPagFin{\pageref{PagFin}}
    \setlength\paperheight{297mm}
    \setlength\paperwidth{210mm}
    \textheight 20cm
    \oddsidemargin 1.5cm
    \evensidemargin 1.5cm
    \textwidth 13cm
    \headheight 50pt
    \headsep 18pt
    \marginparwidth 96pt
    \font\titulo=cmssdc10 scaled \magstep 4
    \font\rmcname=cmssdc10 scaled \magstep 1
    \font\surname=cmssdc10 scaled 950
    \font\sspeq=cmssdc10 scaled \magstep 0
    \font\direccion=cmss8 scaled \magstep 0
    \font\ttlname=cmssdc10 scaled \magstep 2
    \font\email=cmtt8 scaled \magstep 0
\newcommand{\Title}[2][\@Title]{\def\TituloCorto{#1}%
\def\@Tittle{#2}\def\@Title{#2\RMC@Supported}\@titlefalse}
\title{{\titulo{\@Title}}}\normalsize
\def\aaa#1{\baselineskip 20pt\begin{center}{\rmcname
#1}\end{center}\normalsize}
\def\ISSN{Actas del Colloquium 2004/2005}
\def\Separacion{{\bf ------------------------------}}
\def\RMC{\Separacion\\ \it Actas del Colloquium 2004/2005\vspace{1.5cm}}
\def\RMCab{\it Publicaciones del Dpto. de\\ An{\'a}lisis Matem{\'a}tico}
\def\Numeracion{{\rm Secci{\'o}n} \@Vol;\ {\rm N{\'u}m.\ }\@Num, \
    \thePagUno--\RefPagFin}
\def\@Recibido{\direccion Recibido: \recibido}
\def\@Aceptado{\direccion Aceptado: \aceptado}
\def\dirs#1{\baselineskip 11pt \direccion \begin{center}
\quad#1
\end{center}\normalsize}
\def\cabecera{\footnotesize\sl\AutorCorto\hfill\TituloCorto\\ \ }
\def\Cabezaprimera{\tabcolsep 0pt
{\footnotesize\begin{tabular}{l}\RMCab\\
\Numeracion\end{tabular}}\hfill{\footnotesize\begin{tabular}{r}\\\\
\ISSN\end{tabular}} }
\def\Pieprimera{\tabcolsep 0pt{\footnotesize\hfill\thepage\hfill}}
\def\piepares{\tabcolsep 0pt{\footnotesize\begin{tabular}{l}
\RMC\end{tabular}}\\ \hfill\thepage\hfill%
{\footnotesize\phantom{\Separacion}}}
\def\pieimpares{\tabcolsep 0pt\phantom{\footnotesize\Separacion}\hfill\thepage\hfill%
\footnotesize{\begin{tabular}{r}\RMC\end{tabular}}}
\def\rmc@msc#1{\noindent\footnotesize  {\sl 2000 Mathematics
Subject Classification:} #1\par}
\def\RMC@MSC{\rmc@msc{}}
\def\Subjectclass#1{\def\RMC@MSC{\rmc@msc{#1}}\@subjectfalse}
\def\rmc@keywords#1{\medskip\noindent\footnotesize  {\sl Key words:} #1\par}
\def\RMC@KEYWORDS{\rmc@keywords{}}
\def\Keywords#1{\def\RMC@KEYWORDS{\rmc@keywords{#1}}\@keywordsfalse}
\def\keywords@MSC{\RMC@KEYWORDS\smallskip\RMC@MSC\if@abstractonly%
\RMC@reference\fi\smallskip}
\def\RMC@Supported{}
\def\Supported#1{\def\RMC@Supported{\footnotetext{#1}}}
\def\RMC@Thanks{}
\def\Thanks#1{\def\RMC@Thanks{\smallskip\paragraph{Acknowledgements.}
#1\smallskip}
}
\def\Dedicatory#1{\def\RMC@dedicatory{\footnotesize\emph{#1}}}
\def\RMC@dedicatory{}
\def\makededicatory{
\begin{flushright}
\RMC@dedicatory
\end{flushright}
}
\def\ps@myheadings{
\def\@evenhead{\ifnum\value{PrimePag}=1 \Cabezaprimera
\setcounter{page}{\value{PagUno}}\else\cabecera\fi}
\def\@oddhead{\@evenhead}
\def\@oddfoot{
\ifnum\value{PrimePag}=1 \Pieprimera\setcounter{PrimePag}{2} \else
\pieimpares \fi}
\def\@evenfoot{
\ifnum\value{PrimePag}=1 \setcounter{PrimePag}{3} \else \piepares
\fi}
\let\@mkboth\@gobbletwo\let\sectionmark\@gobble%
\let\subsectionmark\@gobble}%%
\newcommand\maketitle{\par\begingroup
\renewcommand\thefootnote{\@fnsymbol\c@footnote}%
\def\@makefnmark{\rlap{\@textsuperscript{%
\normalfont\@thefnmark}}}%
\long\def\@makefntext##1{\parindent1em\noindent\hb@xt@1.8em%
{\hss\@textsuperscript{\normalfont\@thefnmark}}##1}%
\newpage\global\@topnum\z@%
\@maketitle
\@thanks\endgroup \setcounter{footnote}{0} %SI
    \global\let\thanks\relax
    \global\let\maketitle\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}
\def\@evenfoot{}
\def\@oddfoot{}
\def\@Title{Title}
\def\TituloCorto{Title}
\def\@Anho{\rule{2em}{1em}}
\def\@Vol{\rule{1em}{1em}}
\def\@Num{\rule{.5em}{1em}}
\def\recibido{\rule{1em}{1em}\ de\ \rule{10em}{1em}\ de\ \rule{2em}{1em}}
\def\aceptado{\rule{1em}{1em}\ de\ \rule{5em}{1em}\ de\ \rule{2em}{1em}}
\setcounter{PagUno}{1}
\def\Anho#1{\if@publish\def\@Anho{#1}\fi}
\def\Vol#1{\if@publish\def\@Vol{#1}\fi}
\def\Num#1{\if@publish\def\@Num{#1}\fi}
\def\p@font#1#2\end{{\rmcname #1}{\surname\uppercase{#2}}}
\def\Capital#1{\if@aut\expandafter\p@font #1\end\else #1\fi}
\def\RMC@changeini#1{%
\ifnum`#1=45 #1\else\ifnum`#1=32 #1\else%
\ifnum`#1=126 #1\else\ifnum`#1<65\relax%
\else\ifnum`#1>90\relax\else #1.\fi\fi\fi\fi\fi}
\def\RMC@pinitials#1#2\end{\def\RMC@auxi{#1}%
\ifx\RMC@auxi\empty%
\else%
\def\RMC@auxi{#2}%
\RMC@changeini{#1}%
\ifx\RMC@auxi\empty
\else%
\RMC@pinitials#2\end
\fi\fi}
\def\RMC@initials#1{\expandafter\RMC@pinitials #1\end}
\def\RMC@firstAuthorfirstname{Author}\def\RMC@firstAuthorlastname{Name}\def\RMC@firstAuthorsurname{}
\def\RMC@secondAuthorfirstname{}\def\RMC@secondAuthorlastname{}
\def\RMC@thirdAuthorfirstname{}\def\RMC@thirdAuthorlastname{}
\def\RMC@fourthAuthorfirstname{}\def\RMC@fourthAuthorlastname{}
\def\RMC@fifthAuthorfirstname{}\def\RMC@fifthAuthorlastname{}
\newif\if@firstauthor\newif\if@secondauthor\newif\if@thirdauthor
\newif\if@fourthauthor\newif\if@fifthauthor
\@firstauthorfalse\@secondauthorfalse\@thirdauthorfalse\@fourthauthorfalse
\@fifthauthorfalse
\def\RMC@pAuthor\(#1, #2, #3\){
\if@fifthauthor
    \ClassError{rmc}{More than five authors}{Sixth and successive authors will be ignored.
    Please supply additional authors in commentaries.}
\else
    \if@fourthauthor
        \def\RMC@fifthAuthorfirstname{#2}%
        \def\RMC@fifthAuthorlastname{#1}%
        \def\RMC@fifthAuthorsurname{#3}\@fifthauthortrue%
    \else
        \if@thirdauthor
            \def\RMC@fourthAuthorfirstname{#2}%
            \def\RMC@fourthAuthorlastname{#1}%
            \def\RMC@fourthAuthorsurname{#3}\@fourthauthortrue%
        \else
            \if@secondauthor
                \def\RMC@thirdAuthorfirstname{#2}%
                \def\RMC@thirdAuthorlastname{#1}%
                \def\RMC@thirdAuthorsurname{#3}\@thirdauthortrue%
            \else
                \if@firstauthor
                    \def\RMC@secondAuthorfirstname{#2}%
                    \def\RMC@secondAuthorlastname{#1}%
                    \def\RMC@secondAuthorsurname{#3}%
                    \@secondauthortrue
                \else
                    \def\RMC@firstAuthorfirstname{#2}%
                    \def\RMC@firstAuthorlastname{#1}%
                    \def\RMC@firstAuthorsurname{#3}%
                    \@firstauthortrue
                \fi
            \fi
        \fi
    \fi
\fi
}
\newcommand{\Author}[2][]{\RMC@pAuthor\(#2, #1\)}
\def\RMC@firstAuthor{\RMC@firstAuthorfirstname~%
\Capital{\RMC@firstAuthorlastname}%
\ifx\RMC@firstAuthorsurname\empty%
\else~\RMC@firstAuthorsurname\fi}%
\def\RMC@secondAuthor{\RMC@secondAuthorfirstname~%
\Capital{\RMC@secondAuthorlastname}%
\ifx\RMC@secondAuthorsurname\empty%
\else~\RMC@secondAuthorsurname\fi}%
\def\RMC@thirdAuthor{\RMC@thirdAuthorfirstname~%
\Capital{\RMC@thirdAuthorlastname}%
\ifx\RMC@thirdAuthorsurname\empty%
\else~\RMC@thirdAuthorsurname\fi}%
\def\RMC@fourthAuthor{\RMC@fourthAuthorfirstname~%
\Capital{\RMC@fourthAuthorlastname}%
\ifx\RMC@fourthAuthorsurname\empty%
\else~\RMC@fourthAuthorsurname\fi}%
\def\RMC@fifthAuthor{\RMC@fifthAuthorfirstname~%
\Capital{\RMC@fifthAuthorlastname}%
\ifx\RMC@fifthAuthorsurname\empty%
\else~\RMC@fifthAuthorsurname\fi}
\def\RMC@Authors{\@auttrue\aaa{\RMC@firstAuthor
\ifx\RMC@secondAuthorlastname\empty \else
    \ifx\RMC@thirdAuthorlastname\empty
    \ and \RMC@secondAuthor
    \else
    , \RMC@secondAuthor,
        \ifx\RMC@fourthAuthorlastname\empty
        \\ and \RMC@thirdAuthor
        \else
        \\ \RMC@thirdAuthor,
            \ifx\RMC@fifthAuthorlastname\empty
            and \RMC@fourthAuthor
            \else
            \RMC@fourthAuthor,\\ and \RMC@fifthAuthor
            \fi
        \fi
    \fi
\fi}\@autfalse}
\def\RMC@firstAddress%
                    {\begin{tabular}[t]{c}
                    Address\\
                    Address\\
                    Address\\
                    {\email Address@Address}
                    \end{tabular}}%
\def\RMC@secondAddress{}
\def\RMC@thirdAddress{}
\def\RMC@fourthAddress{}
\def\RMC@fifthAddress{}
\newif\if@firstaddress\newif\if@secondaddress\newif\if@thirdaddress
\newif\if@fourthaddress\newif\if@fifthaddress
\@firstaddressfalse\@secondaddressfalse\@thirdaddressfalse\@fourthaddressfalse
\@fifthaddressfalse
\def\Address#1#2{
\if@fifthaddress
    \ClassError{rmc}{More than five addresses}{Sixth and successive
    addresses will be ignored. Please supply
    additional addresses in commentaries}
\else
    \if@fourthaddress
        \def\RMC@fifthAddress{\begin{tabular}[t]{c}#1\\  \begin{tabular}[t]{@{\email\ }c}#2\end{tabular}\end{tabular}}%
        \@fifthaddresstrue
    \else
        \if@thirdaddress
            \def\RMC@fourthAddress{\begin{tabular}[t]{c}#1\\ \begin{tabular}[t]{@{\email\ }c}#2\end{tabular}\end{tabular}}%
            \@fourthaddresstrue
        \else
            \if@secondaddress
                \def\RMC@thirdAddress{\begin{tabular}[t]{c}#1\\ \begin{tabular}[t]{@{\email\ }c}#2\end{tabular}\end{tabular}}%
                \@thirdaddresstrue
            \else
                \if@firstaddress
                    \def\RMC@secondAddress%
                    {\begin{tabular}[t]{c}#1\\ \begin{tabular}[t]{@{\email\ }c}#2\end{tabular}\end{tabular}}%
                    \@secondaddresstrue
                \else
                    \def\RMC@firstAddress%
                    {\begin{tabular}[t]{c}#1\\ \begin{tabular}[t]{@{\email\ }c}#2\end{tabular}\end{tabular}}%
                    \@firstaddresstrue
                \fi
            \fi
        \fi
    \fi
\fi
}
\def\RMC@Addresses{\dirs{%
\begin{tabular}{c}%
\begin{tabular}{cc}%
\RMC@firstAddress&\RMC@secondAddress\\%
\end{tabular}\if@thirdaddress\medskip\fi\\%
\begin{tabular}{cc}%
\RMC@thirdAddress&\RMC@fourthAddress\\%
\end{tabular}\if@fifthaddress\medskip\fi\\%
\RMC@fifthAddress%
\end{tabular}}%
}
\def\Recibido#1{\def\recibido{#1}}
\def\Aceptado#1{\def\aceptado{#1}}
\def\PagUno#1{\if@publish\setcounter{PagUno}{#1}\fi}
\providecommand{\bysame}{\leavevmode\hbox
to3em{\hrulefill}\thinspace}
\def\AutorCorto{
\if@fourthauthor
    \RMC@firstAuthorlastname\ \emph{et al.}
\else
    \if@thirdauthor
        \RMC@initials{\RMC@firstAuthorfirstname}
        \RMC@firstAuthorlastname/\RMC@initials{%
        \RMC@secondAuthorfirstname} \RMC@secondAuthorlastname %
        /\RMC@initials{\RMC@thirdAuthorfirstname}
        \RMC@thirdAuthorlastname
    \else
        \if@secondauthor
            \RMC@initials{\RMC@firstAuthorfirstname}
            \RMC@firstAuthorlastname/\RMC@initials%
            {\RMC@secondAuthorfirstname} \RMC@secondAuthorlastname
        \else
            \RMC@firstAuthorfirstname~\RMC@firstAuthorlastname%
            \ifx\RMC@firstAuthorsurname\empty%
            \else~\RMC@firstAuthorsurname\fi
        \fi
    \fi
\fi
}
\def\@Authorref{
\if@fourthauthor
    \RMC@initials{\RMC@firstAuthorfirstname}
    \RMC@firstAuthorlastname,
    \RMC@initials{\RMC@secondAuthorfirstname}
    \RMC@secondAuthorlastname,
    \RMC@initials{\RMC@thirdAuthorfirstname}
    \RMC@thirdAuthorlastname,
    and \RMC@initials{\RMC@fourthAuthorfirstname}
    \RMC@fourthAuthorlastname
\else
    \if@thirdauthor
        \RMC@initials{\RMC@firstAuthorfirstname}
        \RMC@firstAuthorlastname,
        \RMC@initials{\RMC@secondAuthorfirstname}
        \RMC@secondAuthorlastname,
        and \RMC@initials{\RMC@thirdAuthorfirstname}
        \RMC@thirdAuthorlastname
    \else
        \if@secondauthor
            \RMC@initials{\RMC@firstAuthorfirstname}
            \RMC@firstAuthorlastname\ and
            \RMC@initials{\RMC@secondAuthorfirstname}
            \RMC@secondAuthorlastname
        \else
            \RMC@initials{\RMC@firstAuthorfirstname}
            \RMC@firstAuthorlastname%
            \ifx\RMC@firstAuthorsurname\empty%
            \else~\RMC@firstAuthorsurname\fi
        \fi
    \fi
\fi
}
\def\ShortAuthors#1{\def\AutorCorto{#1}}
\def\@maketitle{\newpage\null%
\begin{center}\let\footnote\thanks{\LARGE\@title\par}%
\end{center}
\RMC@Authors\par \RMC@Addresses %\@Recibido\par\vskip -0.3em \noindent
%\@Aceptado
\par\vskip 1.5em}
\setcounter{secnumdepth}{3}
\newcounter{part}
\newcounter{section}
\newcounter{subsection}[section]
\newcounter{subsubsection}[subsection]
\newcounter{paragraph}[subsubsection]
\newcounter{subparagraph}[paragraph]
\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{\par\addvspace{4ex}\@afterindentfalse
\secdef\@part\@spart}
\def\@part[#1]#2{\ifnum \c@secnumdepth >\m@ne
\refstepcounter{part}\addcontentsline{toc}{part}%
{\thepart\hspace{1em}#1}\else\addcontentsline{toc}{part}%
{#1}\fi{\parindent\z@\raggedright\interlinepenalty \@M
\normalfont\ifnum\c@secnumdepth >\m@ne \Large\bfseries
\partname~\thepart\par\nobreak\fi \huge \bfseries
#2\markboth{}{}\par}\nobreak\vskip 3ex \@afterheading}
\def\@spart#1{{\parindent\z@\raggedright\interlinepenalty\@M
\normalfont\Large \bfseries #1\par}\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
\bfseries\slshape}}
\newcommand\subsubsection{%
\@startsection{subsubsection}{3}{\z@}%
{-3.25ex\@plus -1ex \@minus -.2ex}{1.5ex \@plus .2ex}%
{\normalfont\normalsize\scshape}}
\newcommand\paragraph{\@startsection{paragraph}{4}{\z@}%
{3.25ex \@plus1ex \@minus.2ex} {-1em}%
{\normalfont\normalsize\bfseries}}
\newcommand\subparagraph{%
\@startsection{subparagraph}{5}{\parindent}%
{3.25ex \@plus1ex \@minus .2ex} {-1em}%
{\normalfont\normalsize\bfseries}}
\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}
\setlength\leftmarginv{1em}\setlength\leftmarginvi{1em}
\setlength\labelsep{.5em}\setlength\labelwidth{\leftmargini}
\addtolength\labelwidth{-\labelsep}
\@beginparpenalty-\@lowpenalty\@endparpenalty-\@lowpenalty
\@itempenalty-\@lowpenalty
\renewcommand{\theenumi}{\textup{(\roman{enumi})}}
\renewcommand{\theenumii}{(\alph{enumii})}
\renewcommand{\theenumiii}{\arabic{enumiii}}
\renewcommand{\theenumiv}{\Alph{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}
\def\RMC@reference{\smallskip\noindent\footnotesize  {\sl Standard reference:}\\
\@Authorref, \emph{\@Tittle}, %
Rev.\ Mat.\ Complut.\ \textbf{\@Vol} (\@Anho), \thePagUno--\RefPagFin.\par}
\newenvironment{abstract}[1][Abstract]{%
\def\a{Abstract}\def\b{#1}
\if@abstract\bigskip\fi\small\begin{center}%
{\bfseries\sspeq\MakeUppercase{#1}\vspace{-.5em}\vspace{\z@}}%
\end{center}%
\quote
}{
\endquote
\ifx\a\b\keywords@MSC\global\@englishabstractfalse\fi\if@titlepage
\clearpage\vspace*{2cm}\makededicatory\fi\global\@abstracttrue%
\if@abstractonly\endgroup\end{document}\fi}
\newenvironment{verse}{\let\\\@centercr\list{}{\itemsep\z@
\itemindent-1.5em\listparindent\itemindent\rightmargin%
\leftmargin\advance\leftmargin1.5em}\item\relax}{\endlist}
\newenvironment{quotation}{\list{}{\listparindent 1.5em%
\itemindent\listparindent\rightmargin\leftmargin\parsep\z@
\@plus\p@}\item\relax}{\endlist}
\newenvironment{quote}
{\list{}{\rightmargin\leftmargin}\item\relax}{\endlist}
\newcommand\appendix{\par\setcounter{section}{0}%
\setcounter{subsection}{0}\renewcommand\thesection{%%
\@Alph\c@section}\part*{\appendixname}}
\setlength\arraycolsep{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{0}
\def\ext@figure{lof}\def\fnum@figure{\figurename~\thefigure}
\newenvironment{figure}{\@float{figure}}{\end@float}
\newenvironment{figure*}{\@dblfloat{figure}}{\end@dblfloat}
\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{0\p@}
\long\def\@makecaption#1#2{\vskip\abovecaptionskip
\sbox\@tempboxa{#1: #2}\ifdim\wd\@tempboxa>\hsize#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}
\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\setlength\@tempdima{3em}\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{\section*{\listfigurename
\@mkboth{\MakeUppercase\listfigurename}%
{\MakeUppercase\listfigurename}}\@starttoc{lof}}
\newcommand*\l@figure{\@dottedtocline{1}{1.5em}{2.3em}}
\newcommand\listoftables{\section*{\listtablename
\@mkboth{\MakeUppercase\listtablename}%%
{\MakeUppercase\listtablename}}\@starttoc{lot}}
\let\l@table\l@figure\newdimen\bibindent
\setlength\bibindent{1.5em}
\newenvironment{thebibliography}[1]
{\section*{\refname\@mkboth{\MakeUppercase\refname}%%
{\MakeUppercase\refname}}\small\list{\@biblabel{%%
\@arabic\c@enumiv}}{\settowidth\labelwidth{\@biblabel{#1}}%
\leftmargin\labelwidth\advance\leftmargin\labelsep
\@openbib@code\usecounter{enumiv}\let\p@enumiv\empty
\renewcommand\theenumiv{\@arabic\c@enumiv}}\sloppy
\clubpenalty4000\@clubpenalty\clubpenalty\widowpenalty4000%
\sfcode`\.\@m}{\def\@noitemerr{\@latex@warning{%%
Empty `thebibliography' environment}}\endlist}
\newcommand\newblock{\hskip .11em\@plus.33em\@minus.07em}
\let\@openbib@code\empty\newenvironment{theindex}
{\if@twocolumn\@restonecolfalse\else\@restonecoltrue\fi
\columnseprule\z@\columnsep35\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\footnoterule{%
\kern-3\p@\hrule\@width.4\columnwidth \kern2.6\p@}
\newcommand\@makefntext[1]{\parindent1em\noindent
\hb@xt@1.8em{\hss\@makefnmark}#1}
\newcommand\contentsname{Contents}
\newcommand\listfigurename{List of Figures}
\newcommand\listtablename{List of Tables}
\newcommand\refname{References}\newcommand\indexname{Index}
\newcommand\figurename{Figure}\newcommand\tablename{Table}
\newcommand\partname{Part}\newcommand\appendixname{Appendix}
\newcommand\abstractname{Abstract}
\newcommand\today{}
\edef\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{myheadings} %
\pagenumbering{arabic}
\flushbottom
\newtheoremstyle{nametheorem}
  {}
  {}
  {\itshape}
  {}
  {\bfseries}
  {.}
  {.5em}
  {\thmnote{#3}}
\newtheoremstyle{namedefinition}
  {}
  {}
  {}
  {}
  {\bfseries}
  {.}
  {.5em}
  {\thmnote{#3}}
\newtheorem{theorem}{Theorem}%[section]
\newtheorem*{Theorem}{Theorem}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem*{Corollary}{Corollary}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem*{Lemma}{Lemma}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem*{Proposition}{Proposition}
\newtheorem{conjecture}[theorem]{Conjecture}
\newtheorem*{Conjecture}{Conjecture}
\newtheorem{question}[theorem]{Question}
\newtheorem*{Question}{Question}
\theoremstyle{definition}
\newtheorem{definition}[theorem]{Definition}
\newtheorem*{Definition}{Definition}
\newtheorem{definitions}[theorem]{Definitions}
\newtheorem*{Definitions}{Definitions}
\newtheorem{notation}[theorem]{Notation}
\newtheorem*{Notation}{Notation}
\newtheorem{notations}[theorem]{Notations}
\newtheorem*{Notations}{Notations}
\theoremstyle{remark}
\newtheorem{remark}[theorem]{Remark}
\newtheorem*{Remark}{Remark}
\newtheorem{remarks}[theorem]{Remarks}
\newtheorem*{Remarks}{Remarks}
\newtheorem{example}[theorem]{Example}
\newtheorem*{Example}{Example}
\newtheorem{examples}[theorem]{Examples}
\newtheorem*{Examples}{Examples}
\newtheorem*{note}{Note}
\theoremstyle{nametheorem}
\newtheorem*{nameTheorem}{}
\theoremstyle{namedefinition}
\newtheorem*{nameDefinition}{}
\theoremstyle{plain}
\def\theequation{\arabic{equation}}
\def\Bbb{\mathbb}
\def\cal{\mathcal}
\newenvironment{references}[1][]{
\RMC@Thanks\ifx\bib\@undefined\begin{thebibliography}{#1}\else
\begin{bibdiv}
\begin{biblist}\fi}
{\ifx\bib\@undefined\end{thebibliography}\else\end{biblist}
\end{bibdiv}\fi}
\if@links\RequirePackage[bookmarksopen,colorlinks,pdfpagemode=UseOutlines,
pdfstartview=FitH]{hyperref}\fi
\RequirePackage{caption,subfigure}
\endinput
