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+%%
+%% This is file `aa.cls',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% aa.dtx (with options: `aa')
+%%
+%% aa.dtx
+%% Copyright EDP Sciences (2024), J.-C. Charpentier (2010), all rights reserved.
+%% Class `aa' to use with LaTeX 2e
+%% \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 \~}
+%%
+\def\filedate{2024/08/08}
+\let\aafiledate\filedate
+\def\fileversion{9.2}
+\let\aafileversion\fileversion
+\NeedsTeXFormat{LaTeX2e}[1995/06/01]
+\ProvidesClass{aa}
+ [\filedate{} v\fileversion{} Class for AA journal]
+\LoadClass[fleqn]{article}
+\newif\ifaa@letter
+\DeclareOption{letter}{\aa@lettertrue}
+\newif\ifaa@onlletter
+\DeclareOption{onlletter}{\aa@onllettertrue}
+\newif\ifaa@online
+\DeclareOption{online}{\aa@onlinetrue}
+\newif\ifaa@referee
+\DeclareOption{referee}{\aa@refereetrue}
+\newif\ifaa@contents
+\DeclareOption{contents}{\aa@contentstrue}
+\newif\ifaa@contentsAut
+\DeclareOption{contentsAut}{\aa@contentsAuttrue}
+\newlength\aa@fullwidth
+\newlength\aa@fullheight
+\DeclareOption{a4paper}{%
+ \renewcommand*\aa@paper{a4paper}%
+ \setlength\aa@fullwidth{184mm}%
+ \renewcommand*\aa@leftmarginpaper{(21cm-\aa@fullwidth)/2}%
+ \setlength\aa@fullheight{705pt}%
+}
+\DeclareOption{letterpaper}{%
+ \renewcommand*\aa@paper{letterpaper}
+ \setlength\aa@fullwidth{184mm}%
+ \renewcommand*\aa@leftmarginpaper{(8.5in-\aa@fullwidth)/2}%
+ \setlength\aa@fullheight{705pt-1.76cm}%
+}
+\DeclareOption{legalpaper}{%
+ \renewcommand*\aa@paper{legalpaper}%
+ \setlength\aa@fullwidth{184mm}%
+ \renewcommand*\aa@leftmarginpaper{(8.5in-\aa@fullwidth)/2}%
+ \setlength\aa@fullheight{705pt}%
+}
+\newcommand*\aa@paper{}
+\newcommand*\aa@leftmarginpaper{}
+\newif\ifaa@twocolumn
+\DeclareOption{onecolumn}{%
+ \aa@twocolumnfalse
+ \renewcommand*\aa@column{onecolumn}%
+}
+\DeclareOption{twocolumn}{%
+ \aa@twocolumntrue
+ \renewcommand*\aa@column{twocolumn}%
+}
+\newcommand*\aa@column{}
+\newif\if@wideboxfn
+\@wideboxfnfalse
+\DeclareOption{wideboxfn}{\@wideboxfntrue}
+%
+\newif\ifaa@longfn
+\DeclareOption{longfn}{\aa@longfntrue}
+\newif\ifaa@longauth
+\DeclareOption{longauth}{\aa@longauthtrue}
+\let\if@myobjects\iffalse
+\DeclareOption{ascii}{%
+ \def\aa@inputenc{\RequirePackage[ascii]{inputenc}}%
+}
+\DeclareOption{latin1}{%
+ \def\aa@inputenc{\RequirePackage[latin1]{inputenc}}%
+}
+\DeclareOption{latin9}{%
+ \def\aa@inputenc{\RequirePackage[latin9]{inputenc}}%
+}
+\DeclareOption{ansinews}{%
+ \def\aa@inputenc{\RequirePackage[ansinews]{inputenc}}%
+}
+\DeclareOption{applemac}{%
+ \def\aa@inputenc{\RequirePackage[applemac]{inputenc}}%
+}
+\DeclareOption{utf8}{%
+ \def\aa@inputenc{\RequirePackage[utf8]{inputenc}}%
+}
+\newcommand*\aa@font{}
+\DeclareOption{cm}{%
+ \def\aa@font{%
+ \RequirePackage{textcomp}%
+ }%
+}
+\DeclareOption{showoverfull}{\setlength\overfullrule{5\p@}}
+\DeclareOption{hideoverfull}{\setlength\overfullrule{\z@}}
+\DeclareOption{openbib}{%
+ \AtEndOfPackage{%
+ \renewcommand\@openbib@code{%
+ \advance\leftmargin\bibindent
+ \itemindent -\bibindent
+ \listparindent \itemindent
+ \parsep \z@
+ }%
+ \renewcommand\newblock{\par}}%
+}
+\newif\ifaa@bibnumber
+\DeclareOption{bibnumber}{\aa@bibnumbertrue%
+ \def\aa@biblio{%
+ \RequirePackage[sort&compress]{natbib}
+ \bibpunct{[}{]}{,}{n}{}{,}%
+ \def\@biblabel##1{##1.}%
+ \bibliographystyle{plainnat}%
+ \def\bibfont{\aa@bibliographyfont}%
+ \setlength{\bibsep}{\z@}%
+ }
+}
+\DeclareOption{bibauthoryear}{%
+ \def\aa@biblio{%
+ \RequirePackage[nonamebreak]{natbib}
+ \bibpunct{(}{)}{;}{a}{}{,}%
+ \def\bibfont{\aa@bibliographyfont}%
+ \setlength{\bibsep}{\z@}%
+ }%
+}
+\DeclareOption{bibyear}{%
+ \def\aa@biblio{%
+ \def\@biblabel##1{}%
+ \def\@cite##1##2{{##1\if@tempswa , ##2\fi}}%
+ }
+}
+\ExecuteOptions{a4paper,twocolumn,utf8,hideoverfull,bibauthoryear}
+\ProcessOptions
+\RequirePackage{calc}
+\RequirePackage{etex}
+\RequirePackage[T1]{fontenc}
+\aa@inputenc
+\aa@font
+\ifaa@referee
+\RequirePackage{xcolor}
+\RequirePackage{marginnote}
+\AtEndOfClass{
+\setlength{\marginparwidth}{50mm}
+\setlength{\marginparsep}{5mm}
+}
+%
+\newcounter{lenote}
+\AtBeginDocument{%
+\@ifpackageloaded{hyperref}%
+{\newcommand{\LEm}[1]{\texorpdfstring{\protect\stepcounter{lenote}{\normalfont\textbf{\color{red}[Note \arabic{lenote}] }}
+\protect\marginnote{\baselineskip3ex{\normalsize{\normalfont\textbf{\color{red}[Note \arabic{lenote}: #1]}}}}}{}}
+\newcommand{\LEt}[1]{\texorpdfstring{\protect\stepcounter{lenote}{\normalfont\textbf{\color{red}[Note \arabic{lenote}: #1] }}}{}}}%
+{\newcommand{\LEm}[1]{\protect\stepcounter{lenote}{\normalfont\textbf{\color{red}[Note \arabic{lenote}] }}
+\protect\marginnote{\baselineskip3ex{\normalsize{\normalfont\textbf{\color{red}[Note \arabic{lenote}: #1]}}}}}
+\newcommand{\LEt}[1]{\protect\stepcounter{lenote}{\normalfont\textbf{\color{red}[Note \arabic{lenote}: #1] }}}}%
+}
+ \renewcommand*\aa@column{onecolumn}
+ \aa@twocolumnfalse
+ \setlength{\aa@fullwidth}{0.75\aa@fullwidth}
+ \renewcommand*\aa@leftmarginpaper{15mm}
+ \if!\csname appendix\endcsname!\AtEndDocument{\listofobjects}\fi
+\fi
+\ifx\pdfoutput\undefined
+ \newcount\pdfoutput
+\fi
+\ifnum\pdfoutput=\z@
+ \newcommand\aa@driver{dvips}
+\else
+ \newcommand\aa@driver{pdftex}
+\fi
+\RequirePackage[\aa@driver, \aa@paper, left=\aa@leftmarginpaper,
+ \ifaa@twocolumn\aa@column\fi, \ifaa@referee\else twoside,\fi
+ textheight=\aa@fullheight,headheight=12pt,headsep=12pt,
+ footskip=20pt,
+ textwidth=\aa@fullwidth, columnsep=4mm,
+ marginpar=0in, marginparsep=0in]{geometry}
+\RequirePackage{setspace}
+\ifaa@referee
+ \doublespacing
+\fi
+\RequirePackage{fancyhdr}
+\RequirePackage{cuted}
+\RequirePackage[tbtags,fleqn]{amsmath}
+\RequirePackage{amssymb}
+\setlength{\mathindent}{\z@}
+\ifaa@letter
+ \RequirePackage{xcolor}
+\fi
+\RequirePackage{url, enumerate}
+\RequirePackage{longtable}
+\renewcommand*\LT@makecaption[3]{%
+ \LT@mcol\LT@cols
+ c{\hbox to\z@{%
+ \hss\parbox[t]\LTcapwidth{%
+ \aa@longtablecaptionfont
+ \sbox\@tempboxa{%
+ #1{{\aa@longtableheadcaptionfont#2.} }#3%
+ }%
+ \ifdim\wd\@tempboxa>\hsize
+ #1{{\aa@longtableheadcaptionfont#2.} }#3%
+ \else
+ \hbox to\hsize{\box\@tempboxa\hfil}%
+ \fi
+ \endgraf\vskip\baselineskip
+ }%
+ \hss
+ }%
+ }%
+}
+\aa@biblio
+\RequirePackage{xspace}
+\RequirePackage[english]{babel}
+\def\aatolm#1{\gdef\@aatolm{#1}}
+\def\@aatolm{}
+\renewenvironment{appendix}{\par\clearpage\aatolm{1}
+\def\@hangfrom##1{\setbox\@tempboxa\hbox{{##1}}%
+ \hangindent \parindent\noindent\box\@tempboxa}
+\def\sectcounterend{:}
+\def\@seccntformat##1{\csname theap##1\endcsname%
+ \hskip\betweenumberspace}
+ \setcounter{section}{0}%
+ \setcounter{subsection}{0}%
+ \setcounter{figure}{0}%
+ \setcounter{table}{0}%
+ \newcommand\theapsection{\appendixname\ \@Alph\c@section\sectcounterend}%
+ \newcommand\theapsubsection{\@Alph\c@section.\@arabic\c@subsection.}%
+ \newcommand\theapsubsubsection{\theapsubsection\@arabic\c@subsubsection.}%
+ \renewcommand\thesection{\@Alph\c@section}%
+ \renewcommand\thesubsection{\@Alph\c@section.\@arabic\c@subsection}%
+ \renewcommand\thesubsubsection{\thesubsection.\@arabic\c@subsubsection}%
+ \renewcommand\theequation{\@Alph\c@section.\@arabic\c@equation}%
+ \renewcommand\thefigure{\@Alph\c@section.\@arabic\c@figure}%
+ \renewcommand\thetable{\@Alph\c@section.\@arabic\c@table}%
+ \@addtoreset{equation}{section}%
+ \@addtoreset{figure}{section}%
+ \@addtoreset{table}{section}}
+{
+ \setcounter{section}{0}%
+ \setcounter{subsection}{0}%
+ \setcounter{figure}{0}%
+ \setcounter{table}{0}%
+ \renewcommand\thesection{\@arabic\c@section}%
+ \renewcommand\thesubsection{\@arabic\c@subsection}%
+ \renewcommand\thesubsubsection{\@arabic\c@subsubsection}%
+ \renewcommand\theequation{\@arabic\c@equation}%
+ \renewcommand\thefigure{\@arabic\c@figure}%
+ \renewcommand\thetable{\@arabic\c@table}%
+}
+\RequirePackage[figuresright]{rotating}
+\newcount\aa@cnta
+\newcount\aa@cntb
+\newcount\aa@nbwords
+\newcount\aa@nbauthors
+\newcount\aa@nbinstitutes
+\newcommand*\aa@traditabstractmax{300}
+\newcommand*\aa@structabstractmax{300}
+\newcommand*\aa@keywordsmax{6}
+\newcounter{aa@institutecnt}
+\newcount\aa@savecounter
+\newlength{\aa@dima}
+\newlength{\aa@dimb}
+\newlength{\aa@dimc}
+\newcommand*\aa@removefootnoteindentspace{-1.5em}
+\newcommand*\aa@removefootnotewbindentspace{-2.25em}
+\newcommand*\aa@logoruleindent{8\p@}
+\newcommand*\aa@logoruleraise{4\p@}
+\newcommand*\aa@logorulelength{78\p@}
+\newcommand*\aa@logorulethick{1\p@}
+\newcommand*\aa@logoraise{25\p@}
+\newcommand*\aa@logoraiserest{14.5\p@}
+\newlength{\VSpaceBeforeTheorem}
+\setlength{\VSpaceBeforeTheorem}{8\p@ \@plus 2\p@ \@minus 2\p@}
+\newlength{\VSpaceAfterTheorem}
+\setlength{\VSpaceAfterTheorem}{8\p@ \@plus 2\p@ \@minus 2\p@}
+\newlength{\HSpaceIndentTheorem}
+\setlength{\HSpaceIndentTheorem}{\z@}
+\newlength{\HVSpaceSepTheorem}
+\setlength{\HVSpaceSepTheorem}{0.25em}
+\newlength{\aa@securityheadmargin}
+\setlength{\aa@securityheadmargin}{2cm}
+\newlength{\aa@bleedmargin}
+\setlength{\aa@bleedmargin}{5mm}
+\newlength{\aa@voffsetlettername}
+\setlength{\aa@voffsetlettername}{2.55cm}
+\newlength{\aa@hoffsetlettername}
+\setlength{\aa@hoffsetlettername}{2mm}
+\newlength{\aa@hoffsetgray}
+\setlength{\aa@hoffsetgray}{3mm}
+\newlength{\aa@aftercontentsnameskip}
+\setlength{\aa@aftercontentsnameskip}{12\p@}
+\newlength{\aa@aftercontentsAutnameskip}
+\setlength{\aa@aftercontentsAutnameskip}{12\p@}
+\newlength{\aa@beforeheadboxskip}
+\setlength{\aa@beforeheadboxskip}{-20\p@}
+\newlength{\aa@afterheadboxskip}
+\setlength{\aa@afterheadboxskip}{49\p@}
+\newlength{\aa@beforetopicsskip}
+\setlength{\aa@beforetopicsskip}{18\p@}
+\newlength{\aa@aftertopicsskip}
+\setlength{\aa@aftertopicsskip}{32\p@}
+\newlength{\aa@afterletternameskip}
+\setlength{\aa@afterletternameskip}{6mm}
+\newlength{\aa@beforeletternameskip}
+\setlength{\aa@beforeletternameskip}{-4.8mm}
+\newlength{\aa@beforeheadnoteskip}
+\setlength{\aa@beforeheadnoteskip}{-12\p@}
+\newlength{\aa@afterheadnoteskip}
+\setlength{\aa@afterheadnoteskip}{3.5mm}
+\newlength{\aa@aftertitleskip}
+\setlength{\aa@aftertitleskip}{10\p@}
+\newlength{\aa@beforesubtitleskip}
+\setlength{\aa@beforesubtitleskip}{7\p@}
+\newlength{\aa@aftersubtitleskip}
+\setlength{\aa@aftersubtitleskip}{10\p@}
+\newlength{\aa@afterauthorskip}
+\setlength{\aa@afterauthorskip}{16.5\p@}
+\newlength{\aa@beforedefaultheadnoteskip}
+\setlength{\aa@beforedefaultheadnoteskip}{2pt}
+\newlength{\aa@headingleftmargin}
+\setlength{\aa@headingleftmargin}{8mm}
+\newlength{\aa@headingrightmargin}
+\setlength{\aa@headingrightmargin}{8mm}
+\newlength{\aa@afterinstituteskip}
+\setlength{\aa@afterinstituteskip}{8\p@}
+\newlength{\aa@instituteindent}
+\newlength{\aa@afterdateskip}
+\setlength{\aa@afterdateskip}{16.5\p@}
+\newlength{\aa@afterdedicationskip}
+\setlength{\aa@afterdedicationskip}{16.5\p@}
+\newlength{\aa@afterabstractnameskip}
+\setlength{\aa@afterabstractnameskip}{9\p@}
+\newlength{\aa@afterabstractskip}
+\setlength{\aa@afterabstractskip}{6\p@}
+\newlength{\aa@aftersubabstractskip}
+\setlength{\aa@aftersubabstractskip}{\z@}
+\newlength{\aa@afterkeywordsskip}
+\setlength{\aa@afterkeywordsskip}{24\p@}
+\newlength{\aa@beforeacknowledgementsskip}
+\setlength{\aa@beforeacknowledgementsskip}{6pt}
+\newlength{\aa@afteracknowledgementsskip}
+\setlength{\aa@afteracknowledgementsskip}{6pt}
+\newlength{\aa@figgap}
+\setlength{\aa@figgap}{12pt}
+\newlength{\aa@sidecaptionminwidth}
+\setlength{\aa@sidecaptionminwidth}{5cm}
+\newlength{\aa@sidecaptionwidth}
+\newlength{\VSpaceBeforeFigCaption}
+\setlength{\VSpaceBeforeFigCaption}{5pt}
+\newlength{\VSpaceAfterTabCaption}
+\setlength{\VSpaceAfterTabCaption}{10pt}
+\newlength{\VSpaceBeforeTabBib}
+\setlength{\VSpaceBeforeTabBib}{2ex}
+\newlength{\VSpaceBeforeTabFoot}
+\setlength{\VSpaceBeforeTabFoot}{2ex}
+\newlength{\aftertext}
+\setlength{\aftertext}{5pt}
+\newlength{\aa@entryboxwidth}
+\setlength{\aa@entryboxwidth}{8mm}
+\newlength{\betweenumberspace}
+\setlength{\betweenumberspace}{3.33pt}
+\newif\ifaa@structabstract
+\newif\ifaa@numberedtheorem
+\newif\ifaa@firstonline
+\aa@firstonlinetrue
+\newcommand*\journalname[1]{\renewcommand*\aa@journalname{#1}}
+\newcommand*\aa@journalname{Astronomy \& Astrophysics}
+\newcommand*\aa@manuscriptname{%
+ manuscript no. \jobname
+ \hspace{\stretch{1}}%
+ \copyright ESO \the\year
+}
+\def\Num{1}
+\def\Vol{1}
+\def\Month{JANUARY~I}
+\newcommand*\AANum[1]{\renewcommand*\aa@numarticle{#1}%
+\gdef\@AANum{#1}}
+\newcommand*\@AANum{}
+\newcommand*\aa@numarticle{Article number}
+\newcommand*\doi[1]{%
+ \renewcommand*\aa@doi{DOI: #1}%
+ \renewcommand*\aa@doifig{#1}%
+}
+\newcommand*\aa@doi{(DOI: will be inserted by hand later)}
+\newcommand*\aa@doifig{(to add)}
+\newcommand*\AALogo{%
+ \settowidth{\aa@dima}{\aa@logo@astrophysicsfont Astrophysics}%
+ \setbox0=\hbox{%
+ \begin{minipage}{\aa@dima}
+ \aa@logo@astronomyfont Astronomy\\
+ \raisebox{\aa@logoraise}{%
+ \parbox[c][0pt]{\z@}{%
+ \rlap{%
+ \hspace*{\aa@logoruleindent}%
+ \aa@logo@andfont \&%
+ \rule[\aa@logoruleraise]{\aa@logorulelength}{\aa@logorulethick}%
+ }%
+ }%
+ }%
+ \raisebox{\aa@logoraiserest}{\aa@logo@astrophysicsfont Astrophysics}
+ \end{minipage}%
+ }%
+ \copy0%
+}
+\newcommand*\aa@pageof{, page \thepage{}}
+\newcommand*{\aa@publishlink}{\hfil%
+ Article published by EDP Sciences%
+ \hfil}
+\newcommand*\aa@topicsname{Special feature}
+\newcommand*\aa@offprintsname{Send offprint requests to\/}
+\newcommand*\listobjectname{List of Objects}
+\addto\captionsenglish{\renewcommand*\figurename{Fig.}}
+\newcommand*\aa@figtype{figure}
+\newcommand*\aa@tabtype{table}
+\newcommand*\lettername{Letter to the Editor}
+\newcommand*\noteaddname{Note added in proof.}
+\def\noteadd{\par\addvspace{17pt}\rm
+\trivlist\item[\hskip\labelsep
+{\it\noteaddname}]}
+\def\endnoteadd{\endtrivlist\addvspace{6pt}}
+\newcommand*\andname{\unskip, }
+\newcommand*\andlastname{\unskip, and }
+\newcommand*\andtwoname{\unskip\ and }
+\newcommand*\etalname{et al.}
+\newcommand*\aa@contentsname{Contents sorted by section}
+\newcommand*\aa@contentsAutname{Contents sorted by first author}
+\newcommand*\aa@pagename{page}
+\newcommand*\aa@AAname{A\&A}
+\newcommand*\aa@copyrightname{\copyright~ESO}
+\newcommand*\aa@subabstractiname{Context}
+\newcommand*\aa@subabstractiiname{Aims}
+\newcommand*\aa@subabstractiiiname{Methods}
+\newcommand*\aa@subabstractivname{Results}
+\newcommand*\aa@subabstractvname{Conclusions}
+\newcommand*\aa@keywordname{Key words}
+\newcommand*\aa@acknowledgementsname{Acknowledgements}
+\newcommand*\aa@floatcounterend{.~}
+\newcommand*\aa@tablebibname{References}
+\newcommand*\aa@tablefootname{Notes}
+\renewcommand\normalsize{%
+ \@setfontsize\normalsize\@xpt{11}%
+ \abovedisplayskip 8.55\p@ \@plus4\p@ \@minus5\p@
+ \abovedisplayshortskip \z@ \@plus3\p@
+ \belowdisplayshortskip 6\p@ \@plus3\p@ \@minus3\p@
+ \belowdisplayskip \abovedisplayskip
+ \let\@listi\@listI}
+\normalsize
+\renewcommand\small{%
+ \@setfontsize\small\@ixpt{10}%
+ \abovedisplayskip 8.5\p@ \@plus3\p@ \@minus4\p@
+ \abovedisplayshortskip \z@ \@plus2\p@
+ \belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@
+ \def\@listi{\leftmargin\leftmargini
+ \parsep 0\p@ \@plus1\p@ \@minus1\p@
+ \topsep 8\p@ \@plus2\p@ \@minus4\p@
+ \itemsep0\p@}%
+ \belowdisplayskip \abovedisplayskip
+}
+\let\footnotesize\small
+\renewcommand\scriptsize{\@setfontsize\scriptsize\@viipt\@viiipt}
+\renewcommand\tiny{\@setfontsize\tiny\@viiipt\@ixpt}
+\renewcommand\large{\@setfontsize\large\@xipt{13}}
+\renewcommand\Large{\@setfontsize\Large\@xivpt{16}}
+\renewcommand\LARGE{\@setfontsize\LARGE\@xviipt{20}}
+\renewcommand\huge{\@setfontsize\huge\@xxpt{24}}
+\renewcommand\Huge{\@setfontsize\Huge\@xxvpt{30}}
+\newcommand*\aa@headfont{\small}
+\newcommand*\aa@footfont{\small}
+\newcommand*\aa@subabstractfont{\small\sffamily\itshape}
+\newcommand*\aa@abstractfont{\small}
+\newcommand*\aa@offprintsnamefont{\itshape}
+\newcommand*\aa@logo@astronomyfont{\fontsize{18}{21}\sffamily\bfseries}
+\newcommand*\aa@logo@andfont{\fontsize{16}{12}\sffamily\mdseries}
+\newcommand*\aa@logo@astrophysicsfont{\fontsize{18}{21}\sffamily\bfseries}
+\newcommand*\aa@letternamefont{\sffamily\fontsize{19.2\p@}{21\p@}\bfseries}
+\newcommand*\aa@headletternamefont{\large\scshape}
+\newcommand*\aa@contentsnamefont{\Large\sffamily\bfseries}
+\newcommand*\aa@contentsAutnamefont{\Large\sffamily\bfseries}
+\newcommand*\aa@journalnamefont{\slshape}
+\newcommand*\aa@manuscriptnamefont{}
+\newcommand*\aa@todayheadboxfont{}
+\newcommand*\aa@msnrheadboxfont{\LARGE\bfseries\smash}
+\newcommand*\aa@textidlineempty{{\slshape A\&A proofs:}\ manuscript no.~\jobname}
+\newcommand*\aa@idlinefont{}
+\newcommand*\aa@doifont{}
+\newcommand*\aa@copyrightfont{\small}
+\ifaa@letter
+ \definecolor{aa@colorletter}{gray}{0.6}
+\fi
+\newcommand*\aa@topicsfont{\fontsize{12}{14}\sffamily\itshape}
+\newcommand*\aa@topicsnamefont{\fontsize{17}{20}\sffamily}
+\newcommand*\aa@headnotefont{\LARGE\itshape}
+\newcommand*\aa@defaultheadnotefont{\LARGE\sffamily\bfseries\itshape}
+\newcommand*\aa@titlefont{\LARGE \sffamily\bfseries\boldmath}
+\newcommand*\aa@subtitlefont{\Large \sffamily\bfseries\boldmath}
+\newcommand*\aa@authorfont{\large}
+\newcommand*\aa@institutefont{\small}
+\newcommand*\aa@datefont{\small}
+\newcommand*\aa@dedicationfont{\itshape}
+\newcommand*\aa@abstractnamefont{\small\sffamily\bfseries\MakeUppercase}
+\newcommand*\aa@keywordnamefont{\small\sffamily\bfseries}
+\newcommand*\aa@keywordfont{\small}
+\newcommand*\aa@longauthfont{\centering\small\itshape}
+\newcommand*\aa@longauthname{Affiliations can be found after the references}
+\newcommand*\aa@longauthopen{(}
+\newcommand*\aa@longauthclose{)}
+\newcommand*\aa@acknowledgementsfont{\tiny}
+\newcommand*\aa@acknowledgementsnamefont{\itshape}
+\newcommand*\aa@bibliographyfont{\tiny}
+\newcommand*\aa@captionfont{\normalfont\small}
+\newcommand*\aa@headcaptionfont{\bfseries}
+\newcommand*\aa@tablebibfont{\small}
+\newcommand*\aa@tablebibnamefont{\small\bfseries}
+\newcommand*\aa@tablefootfont{\small}
+\newcommand*\aa@tablefootnamefont{\small\bfseries}
+\newcommand*\aa@descriptionlabelfont{}
+\newcommand\aa@longtablecaptionfont{\small}
+\newcommand\aa@longtableheadcaptionfont{\small\bfseries}
+\newcommand*\aa@emailfont{\ttfamily}
+\newcommand*\aa@entryifont{\itshape}
+\newcommand*\aa@entryiifont{\bfseries}
+\newtoks\authorlink
+\newtoks\yearCop
+\newbox\aa@stripbox
+\newbox\aa@outputbox
+\newenvironment{aa@strip}
+{%
+ \onecolumn\parindent0mm
+ \setbox\aa@stripbox=\vbox\bgroup
+}
+{%
+ \egroup
+ \aa@@strip
+}
+\def\aa@@strip{%
+ \ifdim\ht\aa@stripbox>\textheight
+ \global\setbox\aa@outputbox=\vsplit\aa@stripbox to \textheight
+ \dp\aa@outputbox \z@
+ \box\aa@outputbox\clearpage
+ \expandafter\aa@@strip
+ \else
+ \dp\aa@stripbox \z@
+ \twocolumn[\box\aa@stripbox]
+ \fi
+}
+\newcommand{\ErratumOf}[3][]{}
+\newcommand{\NoteFor}[3][]{}
+\renewcommand*\@fnsymbol[1]{%
+ \ensuremath{%
+ \ifcase#1
+ \or\star
+ \or{\star}{\star}
+ \or{\star}{\star}{\star}%
+ \or{\star}{\star}{\star}{\star}
+ \or \dagger
+ \or \ddagger
+ \or \mathsection
+ \or \mathparagraph
+ \or \|
+ \or **
+ \or \dagger\dagger
+ \or \ddagger\ddagger
+ \else \@ctrerr
+ \fi
+ }%
+}
+\newcommand\longempty{}
+\newcommand*\aa@cntwords[1]{%
+ \protected@edef\aa@cntwords@arg{#1\space\noexpand\aa@nil\space}%
+ \aa@nbwords \z@
+ \let\@@protect\protect
+ \let\protect\@unexpandable@protect
+ \expandafter\aa@@cntwords\aa@cntwords@arg
+ \restore@protect
+}
+\newcommand*\aa@nnil{\aa@nil}
+\long\def\aa@@cntwords#1 {%
+ \def\aa@arg{#1}%
+ \ifx\aa@arg\aa@nnil
+ \else
+ \advance\aa@nbwords \@ne
+ \expandafter\aa@@cntwords
+ \fi
+}
+\newcommand*\aa@roheadletter{%
+ \setlength{\aa@dima}
+ {1in + \topmargin + \headheight - \dp\strutbox +
+ 2\aa@bleedmargin}%
+ \setlength{\aa@dimb}
+ {\paperwidth - (1in + \oddsidemargin + \textwidth) +
+ \aa@bleedmargin - \aa@hoffsetgray}%
+ \setbox0=\hbox{\aa@letternamefont \lettername}%
+ \setlength{\aa@dimc}
+ {\paperheight - \aa@dima - \wd0 + 2\aa@bleedmargin}%
+ \addtolength{\aa@voffsetlettername}{0.5cm}
+ \leavevmode
+ \hbox to0pt{%
+ \hspace*{\aa@hoffsetgray}%
+ \vbox to0pt{%
+ \hsize=\aa@dimb
+ \vskip-\aa@dima
+ \colorbox{aa@colorletter}{%
+ \vtop{%
+ \vspace*{\aa@voffsetlettername}%
+ \hspace*{\aa@hoffsetlettername}%
+ \rotatebox{90}{\aa@letternamefont \lettername}%
+ \hfill\null
+ \vspace*{\aa@dimc}%
+ }%
+ }%
+ \vss
+ }%
+ \hss
+ }%
+}
+\newcommand*\aa@leheadletter{%
+ \setlength{\aa@dima}
+ {1in + \topmargin + \headheight - \dp\strutbox +
+ 2\aa@bleedmargin}%
+ \setlength{\aa@dimb}
+ {1in + \oddsidemargin + \aa@bleedmargin - \aa@hoffsetgray}%
+ \setbox0=\hbox{\aa@letternamefont \lettername}%
+ \setlength{\aa@dimc}
+ {\paperheight-\aa@dima-\wd0+2\aa@bleedmargin}%
+ \addtolength{\aa@voffsetlettername}{0.5cm}
+ \leavevmode
+ \hspace*{-2\fboxsep}%
+ \hbox to0pt{%
+ \hss
+ \vbox to0pt{%
+ \hsize=\aa@dimb
+ \vskip-\aa@dima
+ \colorbox{aa@colorletter}{%
+ \vtop{%
+ \vspace*{\aa@voffsetlettername}%
+ \hfill
+ \rotatebox{90}{\aa@letternamefont \lettername}%
+ \hspace*{\aa@hoffsetlettername}%
+ \vspace*{\aa@dimc}%
+ }%
+ }%
+ \vss
+ }%
+ \hspace*{\aa@hoffsetgray}%
+ }%
+}
+\ifaa@online
+ \fancypagestyle{firstpage}{%
+ \fancyhf{}%
+ \renewcommand*{\headrulewidth}{\z@}%
+ \renewcommand*{\footrulewidth}{\z@}%
+ \fancyfoot[RO]{\aa@footfont\aa@publishlink\aa@numarticle\aa@pageof}%
+ \fancyfoot[LE]{\aa@footfont\aa@numarticle\aa@pageof\qquad\aa@publishlink}%
+ }
+\else
+ \fancypagestyle{firstpage}{%
+ \fancyhf{}%
+ \renewcommand*{\headrulewidth}{\z@}%
+ \renewcommand*{\footrulewidth}{\z@}%
+ \fancyfoot[RO]{\aa@footfont \aa@numarticle\aa@pageof}%
+ \fancyfoot[LE]{\aa@footfont \aa@numarticle\aa@pageof}%
+ }
+\fi
+\ifaa@contents
+ \fancypagestyle{otherpage}{%
+ \fancyhf{}%
+ \fancyhead[C]{\aa@AAname}%
+ \fancyfoot[C]{\aa@contentsname, \aa@pagename\space \thepage}%
+ \renewcommand*{\headrulewidth}{\z@}%
+ \renewcommand*{\footrulewidth}{\z@}%
+ }
+\else\ifaa@contentsAut
+ \fancypagestyle{otherpage}{%
+ \fancyhf{}%
+ \fancyhead[C]{\aa@AAname}%
+ \fancyfoot[C]{\aa@contentsAutname, \aa@pagename\space \thepage}%
+ \renewcommand*{\headrulewidth}{\z@}%
+ \renewcommand*{\footrulewidth}{\z@}%
+ }
+\else
+ \fancypagestyle{otherpage}{%
+ \fancyhf{}%
+ \fancyhead[CO]{\aa@headfont \aa@headings}%
+ \fancyhead[CE]{\aa@headfont \ifx\aa@idline\empty\aa@textidlineempty\else\aa@idline\fi}%
+ \fancyfoot[RO]{\aa@footfont \aa@numarticle\aa@pageof}%
+ \fancyfoot[LE]{\aa@footfont \aa@numarticle\aa@pageof}%
+ \renewcommand*{\headrulewidth}{\z@}%
+ \renewcommand*{\footrulewidth}{\z@}%
+ }
+\fi\fi
+\pagestyle{otherpage}
+\newcommand*\aa@headings{}
+\renewcommand*\date[1]{\renewcommand*\aa@date{#1}}%
+\newcommand*\aa@date{\today}
+\renewcommand*\title[1]{\renewcommand*\aa@title{#1}}%
+\newcommand*\aa@title{}
+\newcommand*\subtitle[1]{\renewcommand*\aa@subtitle{#1}}
+\newcommand*\aa@subtitle{}
+\renewcommand*\author[1]{%
+ \renewcommand*\aa@author{#1}%
+ \begingroup
+ \let\and\relax
+ \renewcommand*\inst[1]{}%
+ \renewcommand*\thanks[1]{}%
+ \renewcommand*\email[1]{}%
+ \let\@@protect\protect
+ \let\protect\@unexpandable@protect
+ \global\aa@nbauthors \z@
+ \expandafter\aa@cntauthors\aa@author\and\aa@nil\and
+ \restore@protect
+ \endgroup
+}%
+\newcommand*\aa@author{}
+\def\aa@cntauthors#1\and{%
+ \def\aa@arg{#1}%
+ \ifx\aa@arg\aa@nnil
+ \else
+ \global\advance\aa@nbauthors \@ne
+ \expandafter\aa@cntauthors
+ \fi
+}
+\newcommand*\institute[1]{%
+ \renewcommand*\aa@institute{#1}
+ \begingroup
+ \let\and\relax
+ \renewcommand*\inst[1]{}%
+ \renewcommand*\thanks[1]{}%
+ \renewcommand*\email[1]{}%
+ \let\@@protect\protect
+ \let\protect\@unexpandable@protect
+ \global\aa@nbinstitutes \z@
+ \expandafter\aa@cntinstitutes\aa@institute\and\aa@nil\and
+ \restore@protect
+ \endgroup
+}%
+\newcommand*\aa@institute{}
+\def\aa@cntinstitutes#1\and{%
+ \def\aa@arg{#1}%
+ \ifx\aa@arg\aa@nnil
+ \else
+ \global\advance\aa@nbinstitutes \@ne
+ \expandafter\aa@cntinstitutes
+ \fi
+}
+\newcommand*\inst[1]{\unskip\hbox{\@textsuperscript{\normalfont$#1$}}}
+\newcommand*\fnmsep{\unskip\hbox{\@textsuperscript{\normalfont,}}}
+\newcommand*\email[1]{e-mail: {\aa@emailfont #1}}
+\let\endabstract\relax
+\renewcommand\abstract[1]{%
+ \renewcommand\aa@abstract@i{#1}%
+ \@ifnextchar\bgroup{\aa@abstract@next}{\aa@abstract@one}
+}
+\newcommand\aa@abstract@next[4]{%
+ \aa@structabstracttrue
+ \renewcommand\aa@abstract@ii{#1}%
+ \renewcommand\aa@abstract@iii{#2}%
+ \renewcommand\aa@abstract@iv{#3}%
+ \renewcommand\aa@abstract@v{#4}%
+ \begingroup
+ \renewcommand\thanks[1]{}%
+ \protected@xdef\aa@abstractwords{%
+ \aa@abstract@i \space
+ \aa@abstract@ii \space
+ \aa@abstract@iii \space
+ \aa@abstract@iv \space
+ \aa@abstract@v \space
+ }%
+ \endgroup
+ \aa@cnta \z@
+ \aa@cntb \aa@structabstractmax
+ \aa@abstract@cnt
+}
+\newcommand*\aa@abstract@one{%
+ \protected@xdef\aa@abstractwords{\aa@abstract@i}%
+ \aa@cnta \z@
+ \aa@cntb \aa@traditabstractmax
+ \aa@abstract@cnt
+}
+\def\aa@abstract@cnt{%
+ \aa@cntwords\aa@abstractwords
+ \advance\aa@nbwords \aa@cnta\relax
+ \ifnum\aa@nbwords>\aa@cntb
+ \typeout{^^J^^JIMPORTANT}
+ \ClassWarning{aa}
+ {Around \the\aa@nbwords\space words in the abstract instead
+ of \the\aa@cntb\space (max). You should rewrite your abstract}
+ \typeout{IMPORTANT
+ ^^J}
+ \fi
+}
+\newcommand\aa@abstract@i{}
+\newcommand\aa@abstract@ii{}
+\newcommand\aa@abstract@iii{}
+\newcommand\aa@abstract@iv{}
+\newcommand\aa@abstract@v{}
+\newcommand*\keywords[1]{%
+ \renewcommand*\aa@keywords{#1}%
+ \aa@keywords@cnt
+ \ifnum\aa@nbwords>\aa@keywordsmax
+ \ClassWarning{aa}
+ {\the\aa@nbwords\space keywords instead of a maximum of
+ \aa@keywordsmax\space}
+ \fi
+}
+\newcommand*\aa@keywords{}
+\newcommand*\aa@doublehyphen{--}
+\newcommand*\aa@keywords@cnt{%
+ \protected@edef\aa@@keywords{\aa@keywords--\noexpand\aa@nil--}%
+ \aa@nbwords \z@
+ \let\@@protect\protect
+ \let\protect\@unexpandable@protect
+ \expandafter\aa@@keywords@cnt\aa@@keywords
+ \restore@protect
+}
+\def\aa@@keywords@cnt#1--{%
+ \def\aa@arg{#1}%
+ \ifx\aa@arg\aa@nnil
+ \else
+ \advance\aa@nbwords \@ne
+ \expandafter\aa@@keywords@cnt
+ \fi
+}
+\newcommand*\topics[1]{\renewcommand*\aa@topics{#1}}
+\newcommand*\aa@topics{}
+\newcommand*\titlerunning[1]{%
+ \renewcommand*\aa@titlerunning{#1}
+}
+\newcommand*\aa@titlerunning{}
+\newcommand*\authorrunning[1]{%
+ \renewcommand*\aa@authorrunning{#1}
+}
+\newcommand*\aa@authorrunning{}
+\newcommand*\offprints[1]{%
+ \protected@edef\@thanks{%
+ \@thanks
+ \protect\footnotetext[0]{%
+ \unskip%
+ \if@wideboxfn%
+ \hspace{\aa@removefootnotewbindentspace}%
+ \else%
+ \hspace{\aa@removefootnoteindentspace}%
+ \fi
+ {%
+ \aa@offprintsnamefont
+ \aa@offprintsname
+ }: \ignorespaces#1%
+ }%
+ }%
+}
+\def\aainstitutename{\par
+ \begingroup
+ \renewcommand*\and{%
+ \ifaa@longauth\\\else\par\fi%
+ \refstepcounter{aa@institutecnt}%
+ \hangindent\aa@instituteindent
+ \noindent
+ \ifaa@longauth\hbox to-0.001\aa@instituteindent\else%
+ \hbox to\aa@instituteindent\fi%
+ {%
+ \hss
+ \hbox{\@textsuperscript{\normalfont\theaa@institutecnt}}%
+ \enspace
+ }%
+ \ignorespaces
+ }%
+ \ifnum\aa@nbinstitutes>99
+ \setbox0=\hbox{\hbox{\@textsuperscript{\normalfont888}}\enspace}%
+ \else\ifnum\aa@nbinstitutes>9
+ \setbox0=\hbox{\hbox{\@textsuperscript{\normalfont88}}\enspace}%
+ \else
+ \setbox0=\hbox{\hbox{\@textsuperscript{\normalfont8}}\enspace}%
+ \fi\fi
+ \aa@instituteindent \wd0
+ {%
+ \aa@institutefont
+ \par\refstepcounter{aa@institutecnt}%
+ \ifnum\aa@nbinstitutes=1\relax
+ \noindent\ignorespaces
+ \else
+ \hangindent\aa@instituteindent
+ \noindent
+ \hbox to\aa@instituteindent{%
+ \hss
+ \hbox{\@textsuperscript{\normalfont\theaa@institutecnt}}%
+ \enspace
+ }\ignorespaces%
+ \fi%
+ \aa@institute\par
+ }
+ \endgroup}
+\newcommand*\mail[1]{\renewcommand*\aa@mail{#1}}
+\newcommand*\aa@mail{}
+\newcommand*\msnr[1]{\renewcommand*\aa@msnr{#1}}
+\newcommand*\aa@msnr{}
+\newcommand*\idline[1]{\renewcommand*\aa@idline{#1}}
+\newcommand*\aa@idline{}
+\newcommand*\headnote[1]{\renewcommand*\aa@headnote{#1}}
+\newcommand*\aa@headnote{}
+\newcommand*\aa@defaultheadnote{Corrigendum}
+\newcommand*\dedication[1]{\renewcommand*\aa@dedication{#1}}
+\newcommand*\aa@dedication{}
+\renewcommand*\maketitle{%
+ \thispagestyle{firstpage}
+\begingroup
+ \if@wideboxfn
+ \setlength\bibindent{1.4\parindent}
+ \else
+ \setlength\bibindent{\parindent}
+ \fi
+ \renewcommand*\thefootnote{\@fnsymbol\c@footnote}%
+ \renewcommand\@makefntext[1]{%
+ \ifaa@longfn\hsize\textwidth\fi
+ \noindent
+ \hb@xt@\bibindent{\hss\@makefnmark\enspace}##1}
+ \ifaa@twocolumn
+ \begingroup
+ \twocolumn[\aa@maketitle]
+ \@thanks
+ \endgroup
+ \else
+ \begingroup
+ \let\thanks\footnote
+ \aa@maketitle
+ \endgroup
+ \fi
+\endgroup
+ \setcounter{footnote}{0}%
+}
+\newcommand*\aa@maketitle{%
+ \ifaa@contents
+ {\aa@contentsnamefont \aa@contentsname\par}
+ \addvspace{\aa@aftercontentsnameskip}
+ \else\ifaa@contentsAut
+ {\aa@contentsAutnamefont \aa@contentsAutname\par}
+ \addvspace{\aa@aftercontentsAutnameskip}
+ \else
+ \vbox to0pt{\vskip\aa@beforeheadboxskip
+ \nointerlineskip
+ \ifx\aa@idline\empty
+ \noindent
+ \fbox{%
+ \begin{minipage}{\linewidth-2\fboxsep-2\fboxrule}
+ \strut
+ {\aa@journalnamefont \aa@journalname}
+ {\aa@manuscriptnamefont \aa@manuscriptname}\\
+ \ifx\aa@msnr\empty
+ {\strut\aa@todayheadboxfont \today}%
+ \else
+ \makebox[0.75\linewidth][r]{%
+ \strut
+ {\aa@msnrheadboxfont \aa@msnr}%
+ }%
+ \fi
+ \end{minipage}%
+ }%
+ \else
+ \begin{tabular}[b]{@{}l@{}}
+ \aa@idlinefont \aa@idline\\
+ \aa@doifont \aa@doi\\
+ \aa@copyrightfont \aa@copyrightname~\if!\the\yearCop!\the\year\else\the\yearCop\fi
+ \end{tabular}
+ \hfill\AALogo
+ \fi\vss}
+ \par
+ \ifx\aa@topics\empty%
+ \addvspace{\aa@afterheadboxskip}
+ \else
+ \addvspace{\aa@beforetopicsskip}
+ {\noindent\aa@topicsfont \aa@topics}%
+ \hfill
+ {\aa@topicsnamefont \aa@topicsname\par}
+ \addvspace{\aa@aftertopicsskip}
+ \fi
+ \begingroup
+ \centering
+ \ifaa@letter
+ \ifx\aa@topics\empty
+ \addvspace{1.8\aa@beforeletternameskip}
+ \else
+ \addvspace{\aa@beforeletternameskip}
+ \fi
+ {\aa@headletternamefont \lettername\par}
+ \addvspace{\aa@afterletternameskip}
+ \fi
+ \ifx\aa@headnote\empty\else
+ \ifx\aa@headnote\aa@defaultheadnote\else
+ {\aa@headnotefont \aa@headnote\par}
+ \addvspace{\aa@afterheadnoteskip}
+ \fi
+ \fi
+ {\aa@titlefont \aa@title\par}
+ \ifx\aa@subtitle\empty%
+ \ifx\aa@headnote\aa@defaultheadnote
+ {\aa@defaultheadnotefont (\aa@headnote)\par}
+ \fi
+ \addvspace{\aa@aftertitleskip}
+ \else
+ \addvspace{\aa@aftertitleskip}
+ {\aa@subtitlefont \aa@subtitle\par}
+ \ifx\aa@headnote\aa@defaultheadnote
+ \addvspace{\aa@beforedefaultheadnoteskip}
+ {\aa@defaultheadnotefont (\aa@headnote)\par}
+ \fi
+ \addvspace{\aa@aftersubtitleskip}
+ \fi
+ \ifnum\aa@nbauthors=\tw@
+ \let\and\andtwoname
+ \else
+ \renewcommand\and{%
+ \advance\aa@cnta \@ne
+ \ifnum\aa@cnta=\aa@nbauthors
+ \andlastname
+ \else
+ \andname
+ \fi
+ }
+ \fi
+ \aa@cnta \@ne
+ {\aa@authorfont \aa@author\par}
+ \addvspace{\aa@afterauthorskip}
+ \endgroup
+ \begingroup
+ \ifaa@longauth\addvspace{-10pt}
+ {\noindent\aa@longauthfont%
+ \aa@longauthopen\aa@longauthname\aa@longauthclose\par}
+ \else
+ \leftskip \aa@headingleftmargin
+ \rightskip \aa@headingrightmargin
+ \aainstitutename
+ \fi
+ \vspace{\aa@afterinstituteskip}
+ {\noindent\aa@datefont\ifaa@longauth\centering\fi \aa@date\par}
+ \ifx\aa@dedication\empty
+ \vspace{\aa@afterdateskip}
+ \else
+ \addvspace\baselineskip
+ {\noindent\aa@dedicationfont \aa@dedication\par}
+ \vspace{\aa@afterdedicationskip}
+ \fi
+ {\centering\aa@abstractnamefont \abstractname\par}
+ \vspace{\aa@afterabstractnameskip}
+ \ifaa@structabstract
+ \ifx\aa@abstract@i\longempty\else
+ {\noindent\aa@subabstractfont \aa@subabstractiname. }%
+ {\aa@abstractfont \ignorespaces\aa@abstract@i\par}
+ \vspace{\aa@aftersubabstractskip}
+ \fi
+ {\noindent\aa@subabstractfont \aa@subabstractiiname. }%
+ {\aa@abstractfont \ignorespaces\aa@abstract@ii\par}
+ \vspace{\aa@aftersubabstractskip}
+ {\noindent\aa@subabstractfont \aa@subabstractiiiname. }%
+ {\aa@abstractfont \ignorespaces\aa@abstract@iii\par}
+ \vspace{\aa@aftersubabstractskip}
+ {\noindent\aa@subabstractfont \aa@subabstractivname. }%
+ {\aa@abstractfont \ignorespaces\aa@abstract@iv\par}
+ \vspace{\aa@aftersubabstractskip}
+ \ifx\aa@abstract@v\longempty\else
+ {\noindent\aa@subabstractfont \aa@subabstractvname. }%
+ {\aa@abstractfont \ignorespaces\aa@abstract@v\par}
+ \fi
+ \else
+ {\noindent\aa@abstractfont \ignorespaces\aa@abstract@i\par}
+ \fi
+ \vspace{\aa@afterabstractskip}
+ \ifx\aa@keywords\empty\else
+ \noindent
+ {\aa@keywordnamefont \aa@keywordname. }
+ {\aa@keywordfont \ignorespaces\aa@keywords\par}
+ \vspace{\aa@afterkeywordsskip}
+ \fi
+ \endgroup
+ \renewcommand*\thanks[1]{}%
+ \renewcommand*\inst[1]{}%
+ \renewcommand*\fnmsep{}%
+ \renewcommand*\and{, }%
+ \renewcommand*\\{ }%
+ \renewcommand*\vspace[1]{}%
+ \renewcommand*\offprints[1]{}%
+ \protected@xdef\aa@PDFauthor{\if!\the\authorlink!\aa@author\else\the\authorlink\fi}%
+ \protected@xdef\aa@PDFtitle{\noexpand\protect\noexpand\aa@title}%
+ \def\object##1{##1}%
+ \ifx\aa@authorrunning\empty
+ \let\and\relax
+ \renewcommand*\\{\unskip\space\ignorespaces}%
+ \ifnum\aa@nbauthors=1
+ \expandafter\aa@extractoneauthor\aa@author\and\aa@nil
+ \else\ifnum\aa@nbauthors=2
+ \expandafter\aa@extracttwoauthor\aa@author\and\aa@nil
+ \else
+ \expandafter\aa@extractoneauthor\aa@author\and\aa@nil
+ \protected@xdef\aa@headings{\aa@headings\unskip\space\etalname\space}%
+ \fi\fi
+ \else
+ \xdef\aa@headings{\aa@authorrunning}%
+ \fi
+ \ifx\aa@titlerunning\empty
+ \protected@xdef\aa@headings{\aa@headings\unskip: \aa@title}%
+ \else
+ \protected@xdef\aa@headings{\aa@headings\unskip: \aa@titlerunning}%
+ \fi
+ \setbox0=\hbox{%
+ \hspace*{\aa@securityheadmargin}%
+ \aa@headfont \aa@headings
+ }%
+ \ifdim\wd0>\aa@fullwidth
+ \typeout{^^J^^JIMPORTANT}
+ \ClassWarning{aa}
+ {The running head built automatically
+ from \string\author\space and \string\title
+ exceeds the pagewidth, please supply a shorter form
+ with \string\authorrunning\space and/or
+ \string\titlerunning\space prior to \string\maketitle}
+ {Use \string\titlerunning\space to supply a shorter
+ title and/or \string\authorrunning\space to supply a
+ shorter list of authors.}%
+ \typeout{IMPORTANT
+ ^^J}
+ \fi
+ \fi\fi
+}
+\def\aa@extractoneauthor#1\and#2\aa@nil{%
+ \gdef\aa@headings{#1}%
+}
+\def\aa@extracttwoauthor#1\and#2\and#3\aa@nil{%
+ \gdef\aa@headings{#1\andtwoname#2}%
+}
+\def\sectcounterend{.}
+\def\@seccntformat#1{\csname the#1\endcsname\sectcounterend
+\hskip\betweenumberspace}
+\def\@sect#1#2#3#4#5#6[#7]#8{%
+ \ifnum #2>\c@secnumdepth
+ \let\@svsec\@empty
+ \else
+ \refstepcounter{#1}%
+ \protected@edef\@svsec{\@seccntformat{#1}\relax}%
+ \fi
+ \@tempskipa #5\relax
+ \ifdim \@tempskipa>\z@
+ \begingroup
+ #6{%
+ \@hangfrom{\hskip #3\relax\@svsec}%
+ \raggedright
+ \hyphenpenalty \@M%
+ \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
+ \@svsec #8\hskip\aftertext}%
+ \csname #1mark\endcsname{#7}%
+ \addcontentsline{toc}{#1}{%
+ \ifnum #2>\c@secnumdepth \else
+ \protect\numberline{\csname the#1\endcsname}%
+ \fi
+ #7}}%
+ \fi
+ \@xsect{#5}}
+\ifaa@contentsAut
+ \renewcommand\section{%
+ \@startsection{section}
+ {1}
+ {\z@}
+ {-16dd \@plus-4\p@ \@minus-4\p@}
+ {6dd}
+ {\large\bfseries\boldmath\MakeUppercase}%
+ }
+\else\ifaa@contents
+ \renewcommand\section{%
+ \@startsection{section}
+ {1}
+ {\z@}
+ {-16dd \@plus-4\p@ \@minus-4\p@}
+ {6dd}
+ {\large\bfseries\boldmath\MakeUppercase}%
+ }
+\else
+ \renewcommand\section{%
+ \@startsection{section}
+ {1}
+ {\z@}
+ {-16dd\@plus-4\p@ \@minus-4\p@}
+ {6dd}
+ {\large\sffamily\bfseries\boldmath}%
+ }
+\fi\fi
+\renewcommand\subsection{%
+ \@startsection{subsection}
+ {2}
+ {\z@}
+ {-16dd}
+ {6dd}
+ {\normalsize\sffamily\itshape}%
+}
+\renewcommand\subsubsection{%
+ \@startsection{subsubsection}
+ {3}
+ {\z@}
+ {-16dd}
+ {6dd}
+ {\normalsize\sffamily}%
+}
+\renewcommand\paragraph{%
+ \@startsection{paragraph}
+ {4}
+ {\z@}
+ {-16dd}
+ {-\fontdimen2\font
+ \@plus-\fontdimen3\font
+ \@minus-\fontdimen4\font}
+ {\normalsize\sffamily}%
+}
+\renewcommand\subparagraph{%
+ \ClassError{aa}{Command \string\subparagrap\space isn't allowed}
+ {Only commands from \string\section\space to
+ \string\paragraph\space are allowed.}
+}
+\renewcommand\part{%
+ \ClassError{aa}{Command \string\part\space isn't allowed}
+ {Only commands from \string\section\space to
+ \string\paragraph\space are allowed.}
+}
+\frenchspacing
+\clubpenalty=10000
+\widowpenalty=10000
+\flushbottom
+\ifaa@twocolumn
+ \sloppy
+\fi
+\newenvironment{nopar}
+ {\let\par\relax%
+ \aa@acknowledgementsfont
+ {%
+ \noindent\aa@acknowledgementsnamefont
+ \aa@acknowledgementsname.%
+ }%
+ \hskip.5em
+ }{}
+\newenvironment{acknowledgements}
+ {%
+ \par\addvspace{\aa@beforeacknowledgementsskip}
+ \begin{spacing}{0.81}
+ \begin{nopar}
+ }
+ {%
+ \end{nopar}
+ \end{spacing}
+ \addvspace{\aa@afteracknowledgementsskip}
+ }
+\let\acknowledgement\acknowledgements
+\let\endacknowledgement\endacknowledgements
+\renewcommand\@makefntext[1]{%
+ \noindent
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+}
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+\renewcommand\thetable{\thesection.\arabic{table}}
+ #3%
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+ \vspace{\aftertext}
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+}
+\ifaa@contents \aa@defineentry \fi
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+ \parsep \z@ \@plus\p@ \@minus\p@
+ \topsep 8\p@ \@plus2\p@ \@minus4\p@
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+}
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+\@listi
+\AtBeginDocument{%
+ \let\@listi\listI
+ \@listi
+}
+\renewcommand\@listii{%
+ \leftmargin \leftmarginii
+ \labelwidth \leftmarginii
+ \advance\labelwidth -\labelsep
+ \topsep \z@
+ \parsep \z@
+ \itemsep \z@
+}
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+ \leftmargin \leftmarginiii
+ \labelwidth \leftmarginiii
+ \advance\labelwidth -\labelsep
+ \topsep \z@
+ \parsep \z@
+ \itemsep \z@
+ \partopsep \p@ \@minus\p@
+ }
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+ \settowidth{\labelwidth}{\aa@descriptionlabelfont #1}%
+ \leftmargini \labelwidth
+ \advance\leftmargini \labelsep
+ \renewcommand*\@listi{%
+ \leftmargin \leftmargini
+ \labelwidth \leftmargini
+ \advance\labelwidth -\labelsep
+ \parsep \parskip
+ \topsep \medskipamount
+ \itemsep \parskip
+ \advance\itemsep -\parsep
+ }%
+}
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+ \settowidth{\labelwidth}{\aa@descriptionlabelfont #1}%
+ \leftmarginii \labelwidth
+ \advance\leftmarginii \labelsep
+ \renewcommand*\@listii{%
+ \leftmargin \leftmarginii
+ \labelwidth \leftmarginii
+ \advance\labelwidth -\labelsep
+ \parsep \parskip
+ \topsep \z@
+ \itemsep \parskip
+ \advance\itemsep -\parsep
+ }%
+}
+\renewcommand*\descriptionlabel[1]{\hspace\labelsep #1\hfil}
+\renewcommand*\description{%
+ \@ifnextchar[{\aa@description} % ] (pour Emacs)
+ {%
+ \list{}{%
+ \labelwidth\z@
+ \itemindent -\leftmargin
+ \let\makelabel\descriptionlabel
+ }%
+ }%
+}
+\newcommand\aa@description[1][]{%
+ \relax\ifnum\@listdepth=0
+ \aa@setitemindent{#1}%
+ \else\ifnum\@listdepth=1
+ \aa@setitemitemindent{#1}%
+ \fi\fi
+ \list{--}{\let\makelabel\aa@descriptionlabel}%
+}
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+ \aa@descriptionlabelfont
+ #1%
+ \hfil
+}
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+\newcommand*\aa@theorem@aftertitle{.}
+\renewcommand*\newtheorem{%
+ \@ifstar{\aa@theorem@withstar}{\aa@theorem@nostar}%
+}
+\newcommand*\aa@theorem@nostar{%
+ \aa@numberedtheoremtrue
+ \aa@newtheorem
+}
+\newcommand*\aa@theorem@withstar{%
+ \aa@numberedtheoremfalse
+ \aa@newtheorem
+}
+\newcommand*\aa@newtheorem[1]{%
+ \def\aa@theorem@name{#1}%
+ \expandafter\newif\csname ifaa@theorem@#1@numbered\endcsname
+ \ifaa@numberedtheorem
+ \csname aa@theorem@#1@numberedtrue\endcsname
+ \fi
+ \aa@@newtheorem
+}
+\newif\ifaa@newcounter
+\newcommand*\aa@@newtheorem[2][]{%
+ \def\aa@arg{#1}%
+ \ifx\aa@arg\empty
+ \expandafter\edef
+ \csname aa@theorem@\aa@theorem@name @counter\endcsname
+ {AA\aa@theorem@name}%
+ \aa@newcountertrue
+ \else
+ \expandafter\ifx
+ \csname aa@theorem@#1@title\endcsname
+ \relax
+ \ClassError{aa}
+ {#1 isn't a theorem-like environment}
+ {You have to create #1 with \string\newtheorem\space
+ before use its counter.}%
+ \expandafter\edef
+ \csname aa@theorem@\aa@theorem@name @counter\endcsname
+ {AA\aa@theorem@name}%
+ \aa@newcountertrue
+ \else
+ \expandafter\def
+ \csname aa@theorem@\aa@theorem@name @counter\endcsname
+ {AA#1}%
+ \aa@newcounterfalse
+ \fi
+ \fi
+ \expandafter\newcommand
+ \csname aa@theorem@\aa@theorem@name @title\endcsname
+ {#2}%
+ \aa@@@newtheorem
+}
+\newcommand*\aa@@@newtheorem[3][]{%
+ \ifaa@newcounter
+ \def\aa@arg{#1}%
+ \ifx\aa@arg\empty
+ \newcounter{\csname aa@theorem@\aa@theorem@name @counter\endcsname}%
+ \else
+ \newcounter{\csname aa@theorem@\aa@theorem@name @counter\endcsname}[#1]%
+ \expandafter\xdef
+ \csname theaa@theorem@\aa@theorem@name @counter\endcsname{%
+ \expandafter\noexpand\csname the#1\endcsname.%
+ \noexpand\arabic{aa@theorem@\aa@theorem@name @counter}%
+ }%
+ \fi
+ \fi
+ \expandafter\newcommand
+ \csname aa@theorem@\aa@theorem@name @titlefont\endcsname{#2}%
+ \expandafter\newcommand
+ \csname aa@theorem@\aa@theorem@name @bodyfont\endcsname{#3}%
+ \newenvironment{\aa@theorem@name}[1][]{%
+ \def\aa@theorem@optionnal{##1}%
+ \par\addvspace{\VSpaceBeforeTheorem}%
+ \noindent\hspace*{\HSpaceIndentTheorem}%
+ \begingroup
+ \csname aa@theorem@\@currenvir @titlefont\endcsname
+ \csname aa@theorem@\@currenvir @title\endcsname
+ \csname ifaa@theorem@\@currenvir @numbered\endcsname
+ \refstepcounter{\csname aa@theorem@\@currenvir @counter\endcsname}%
+ \space
+ \csname the\csname aa@theorem@\@currenvir @counter\endcsname\endcsname
+ \fi
+ \ifx\aa@theorem@optionnal\empty
+ \aa@theorem@aftercount
+ \else
+ \space(\aa@theorem@optionnal)%
+ \aa@theorem@aftertitle
+ \fi
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+ \ifdim\HVSpaceSepTheorem<\z@
+ \par\nobreak
+ \vspace{-\HVSpaceSepTheorem}%
+ \noindent\hspace*{\HSpaceIndentTheorem}%
+ \else
+ \hspace*{\HVSpaceSepTheorem}%
+ \fi
+ \csname aa@theorem@\@currenvir @bodyfont\endcsname
+ }%
+ {%
+ \par\addvspace{\VSpaceAfterTheorem}
+ }%
+}
+\newtheorem*{proof}{Proof}{\itshape}{\rmfamily}
+\newtheorem{theorem}{Theorem}[section]{\bfseries}{\itshape}
+\newtheorem{corollary}[theorem]{Corollary}{\bfseries}{\itshape}
+\newtheorem{definition}[theorem]{Definition}{\bfseries}{\rmfamily}
+\newtheorem{example}[theorem]{Example}{\itshape}{\rmfamily}
+\newtheorem{exercise}[theorem]{Exercise}{\itshape}{\rmfamily}
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+\newtheorem{note}[theorem]{Note}{\itshape}{\rmfamily}
+\newtheorem{problem}[theorem]{Problem}{\itshape}{\rmfamily}
+\newtheorem{proposition}[theorem]{Proposition}{\bfseries}{\itshape}
+\newtheorem{question}[theorem]{Question}{\itshape}{\rmfamily}
+\newtheorem{remark}[theorem]{Remark}{\itshape}{\rmfamily}
+\newtheorem{solution}[theorem]{Solution}{\itshape}{\rmfamily}
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+\renewcommand*\fps@figure{tbp}
+\renewcommand*\fps@table{tbp}
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+ \setbox0=\hbox{\ignorespaces#1\unskip}%
+ \aa@sidecaptionwidth=\linewidth
+ \advance\aa@sidecaptionwidth -\wd0
+ \advance\aa@sidecaptionwidth -\aa@figgap
+ \ifdim\aa@sidecaptionwidth<\aa@sidecaptionminwidth
+ \ClassWarning{aa}{%
+ No sufficient room for the legend;
+ using normal \string\caption.%
+ }%
+ \let\aa@caption\@caption
+ \unhbox0
+ \else
+ \let\aa@caption\aa@sidecaption
+ \dimen0 \dp0
+ \advance\dimen0 \ht0
+ \dp0 \dp\strutbox
+ \advance\dimen0-\dp0
+ \ht0 \dimen0
+ \unhbox0\hspace{\aa@figgap}%
+ \fi
+ \refstepcounter\@captype
+ \@dblarg{\aa@caption\@captype}%
+}
+\long\def\aa@sidecaption#1[#2]#3{%
+ \addcontentsline
+ {\csname ext@#1\endcsname}
+ {#1}
+ {\protect\numberline{\csname the#1\endcsname}{\ignorespaces #2}}%
+ \begingroup
+ \@parboxrestore
+ \aa@makesidecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}%
+ \par
+ \endgroup
+}
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+ \leavevmode
+ \vrule \@width\z@ \@height\ht\strutbox \@depth\z@
+}
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+}
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+ \parbox[b]{\aa@sidecaptionwidth}{%
+ \aa@captionfont
+ \aa@@makecaption{#1}
+ \aa@capstrut
+ #2%
+ }%
+}
+\renewcommand\@makecaption[2]{%
+ \aa@captionfont
+ \ifx\@captype\aa@figtype
+ \par\vskip\VSpaceBeforeFigCaption
+ \aa@@makecaption{#1}%
+ \aa@capstrut%
+ #2%
+ \par
+ \else
+ {\aa@headcaptionfont #1\aa@floatcounterend}%
+ \aa@capstrut
+ #2%
+ \par
+ \vskip\VSpaceAfterTabCaption
+ \fi
+}
+\newcommand\tablebib[1]{\VSpaceBeforeTabFoot=1ex%
+ \par\vspace{\VSpaceBeforeTabBib}
+ \noindent
+ \begin{minipage}{\linewidth}
+ {\aa@tablebibnamefont\aa@tablebibname.}~%
+ \aa@tablebibfont
+ \ignorespaces
+ #1%
+ \end{minipage}%
+}
+\newcommand\tablefoot[1]{\VSpaceBeforeTabBib=1ex%
+ \par\vspace{\VSpaceBeforeTabFoot}
+ \noindent
+ \begin{minipage}{\linewidth}
+ {\aa@tablefootnamefont\aa@tablefootname.}~%
+ \aa@tablefootfont
+ \ignorespaces
+ #1%
+ \end{minipage}%
+}
+\newcommand*\tablefootmark[1]{%
+ \unskip
+ \hbox{\@textsuperscript{\normalfont\itshape\ignorespaces#1}}%
+ \,%
+ \ignorespaces
+}
+\newcommand\tablefoottext[2]{%
+ \hbox{\@textsuperscript{\normalfont({\itshape\ignorespaces#1})}}%
+ ~%
+ \ignorespaces
+ #2\ \ignorespaces%
+}
+% Numbering lines in PDF for all options author's versions
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+\columnwiselinenumbersfalse%
+\runningpagewiselinenumbers%
+%
+\setlength\bibindent{1em}
+\renewenvironment{thebibliography}[1]{%
+ \begingroup
+ \section*{\refname}%
+ \@mkboth{\refname}{\refname}%
+ \aa@bibliographyfont
+ \list{\@biblabel{\@arabic\c@enumiv}}%
+ {%
+ \settowidth\labelwidth{\@biblabel{#1}}%
+ \ifaa@bibnumber
+ \leftmargin\labelwidth
+ \advance\leftmargin\labelsep
+ \else
+ \leftmargin\bibindent
+ \setlength{\itemindent}{-\leftmargin}
+ \fi
+ \@openbib@code
+ \usecounter{enumiv}%
+ \let\p@enumiv\@empty
+ \renewcommand\theenumiv{\@arabic\c@enumiv}%
+ }%
+ \sloppy
+ \clubpenalty4000
+ \@clubpenalty \clubpenalty
+ \widowpenalty4000%
+ \sfcode`\.\@m
+}{%
+ \endlist\par\endgroup%
+ \ifaa@longauth\nolinenumbers%
+ \kern6pt\hrule\kern6pt\aainstitutename\aa@longauthfalse\fi%
+ \ifaa@referee\if!\csname appendix\endcsname!\relax\else\listofobjects\fi\fi
+ \def\@noitemerr{\ClassWarning{aa}{Empty `thebibliography' environment}}%
+}
+\def \@floatboxreset {%
+ \reset@font
+ \ifx\@captype\aa@tabtype
+ \small
+ \spacetab
+ \fi
+ \@setnobreak
+ \@setminipage
+}
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+\abovedisplayshortskip-10pt%
+\belowdisplayshortskip0pt%
+}
+\DeclareRobustCommand{\ion}[2]{\textup{#1\,\textsc{\lowercase{#2}}}}
+\newcommand*\element[1][]{%
+ \def\aa@element@tr{#1}%
+ \aa@element
+}
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+ \def\aa@element@tl{#1}%
+ \aa@@element
+}
+\newcommand*\aa@@element[1][]{%
+ \def\aa@element@bl{#1}%
+ \aa@@@element
+}
+\newcommand*\aa@@@element[2][]{%
+ \def\aa@element@br{#1}%
+ \ensuremath{%
+ \vphantom{x}^{\aa@element@tl}_{\aa@element@bl}
+ \mathrm{#2}
+ \vphantom{x}^{\aa@element@tr}_{\aa@element@br}
+ }%
+}
+\renewcommand*\vec[1]{\ensuremath{\boldsymbol{#1}}}
+\newcommand*\tens[1]{\ensuremath{\mathsf{#1}}}
+\newcommand*\sq{%
+ \ifmmode
+ \Box
+ \else
+ \begingroup
+ \unskip\nobreak
+ \hfil
+ \penalty50
+ \hskip1em
+ \null\nobreak\hfil$\Box$%
+ \parfillskip=0pt
+ \finalhyphendemerits=0
+ \endgraf
+ \endgroup
+ \fi
+}
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+\newcommand*\arcmin{\ensuremath{^\prime}}
+\newcommand*\arcsec{\ensuremath{^{\prime\prime}}}
+\def\utw{\ensuremath{\smash{\rlap{\lower5pt\hbox{$\sim$}}}}}
+\def\udtw{\ensuremath{\smash{\rlap{\lower6pt\hbox{$\approx$}}}}}
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+\newcommand*\fdg{\ensuremath{\overset{\circ}{.}}}
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+ \ensuremath{%
+ \mathrel{%
+ \mathchoice{%
+ \vcenter{%
+ \offinterlineskip
+ \halign{\hfil$\displaystyle##$\hfil\cr#1\cr#2\cr}%
+ }%
+ }
+ {%
+ \vcenter{%
+ \offinterlineskip
+ \halign{\hfil$\textstyle##$\hfil\cr#1\cr#2\cr}%
+ }%
+ }
+ {%
+ \vcenter{%
+ \offinterlineskip
+ \halign{\hfil$\scriptstyle##$\hfil\cr#1\cr#2\cr}%
+ }%
+ }
+ {%
+ \vcenter{%
+ \offinterlineskip
+ \halign{\hfil$\scriptscriptstyle##$\hfil\cr#1\cr#2\cr}%
+ }%
+ }%
+ }%
+ }%
+}
+\newcommand*\la{\aa@centerstack{<}{\sim}}
+\newcommand*\ga{\aa@centerstack{>}{\sim}}
+\newcommand*\sol{\aa@centerstack{\sim}{<}}
+\newcommand*\sog{\aa@centerstack{\sim}{>}}
+\newcommand*\lse{\aa@centerstack{<}{\simeq}}
+\newcommand*\gse{\aa@centerstack{>}{\simeq}}
+\newcommand*\aa@centerstackskip[6]{%
+ \ensuremath{%
+ \mathrel{%
+ \mathchoice{%
+ \vcenter{%
+ \offinterlineskip
+ \halign{\hfil$\displaystyle##$\hfil\cr
+ #1\cr\noalign{\vskip#3}#2\cr}%
+ }%
+ }
+ {%
+ \vcenter{%
+ \offinterlineskip
+ \halign{\hfil$\textstyle##$\hfil\cr
+ #1\cr\noalign{\vskip#4}#2\cr}%
+ }%
+ }
+ {%
+ \vcenter{%
+ \offinterlineskip
+ \halign{\hfil$\scriptstyle##$\hfil\cr
+ #1\cr\noalign{\vskip#5}#2\cr}%
+ }%
+ }
+ {%
+ \vcenter{%
+ \offinterlineskip
+ \halign{\hfil$\scriptscriptstyle##$\hfil\cr
+ #1\cr\noalign{\vskip#6}#2\cr}%
+ }%
+ }%
+ }%
+ }%
+}
+\newcommand*\grole{\aa@centerstackskip{>}{<}{-1.5\p@}{-1.5\p@}{-1\p@}{-.5\p@}}
+\newcommand*\leogr{\aa@centerstackskip{<}{>}{-1.5\p@}{-1.5\p@}{-1\p@}{-.5\p@}}
+\newcommand*\loa{\aa@centerstack{<}{\approx}}
+\newcommand*\goa{\aa@centerstack{>}{\approx}}
+\newcommand*\diameter{%
+ \ensuremath{%
+ \mathchoice{%
+ \ooalign{%
+ \hfil\hbox{$\displaystyle/$}\hfil\crcr
+ {\hbox{$\displaystyle\mathchar"20D$}}%
+ }%
+ }
+ {%
+ \ooalign{%
+ \hfil\hbox{$\textstyle/$}\hfil\crcr
+ {\hbox{$\textstyle\mathchar"20D$}}%
+ }%
+ }
+ {%
+ \ooalign{%
+ \hfil\hbox{$\scriptstyle/$}\hfil\crcr
+ {\hbox{$\scriptstyle\mathchar"20D$}}%
+ }%
+ }
+ {%
+ \ooalign{%
+ \hfil\hbox{$\scriptscriptstyle/$}\hfil\crcr
+ {\hbox{$\scriptscriptstyle\mathchar"20D$}}%
+ }%
+ }%
+ }%
+}
+\let\olddiameter\diameter
+\newcommand*\getsto{\aa@centerstack{\gets}{\to}}
+\newcommand*\lid{\aa@centerstackskip{<}{=}{1.2\p@}{1.2\p@}{1\p@}{0.9\p@}}
+\newcommand*\gid{\aa@centerstackskip{>}{=}{1.2\p@}{1.2\p@}{1\p@}{0.9\p@}}
+\newcommand*\bbbone{%
+ \ensuremath{%
+ \mathchoice{\mathrm 1\mskip-4mu l}
+ {\mathrm 1\mskip-4mu l}
+ {\mathrm 1\mskip-4.5mu l}
+ {\mathrm 1\mskip-5mu l}%
+ }%
+}
+\newcommand*\aap{A\&A}
+\let\astap=\aap
+\newcommand*\aapr{A\&A~Rev.}
+\newcommand*\aaps{A\&AS}
+\newcommand*\actaa{Acta Astron.}
+\newcommand*\aj{AJ}
+\newcommand*\ao{Appl.~Opt.}
+\let\applopt\ao
+\newcommand*\apj{ApJ}
+\newcommand*\apjl{ApJ}
+\let\apjlett\apjl
+\newcommand*\apjs{ApJS}
+\let\apjsupp\apjs
+\newcommand*\aplett{Astrophys.~Lett.}
+\newcommand*\apspr{Astrophys.~Space~Phys.~Res.}
+\newcommand*\apss{Ap\&SS}
+\newcommand*\araa{ARA\&A}
+\newcommand*\azh{AZh}
+\newcommand*\baas{BAAS}
+\newcommand*\bac{Bull. astr. Inst. Czechosl.}
+\newcommand*\bain{Bull.~Astron.~Inst.~Netherlands}
+\newcommand*\caa{Chinese Astron. Astrophys.}
+\newcommand*\cjaa{Chinese J. Astron. Astrophys.}
+\newcommand*\fcp{Fund.~Cosmic~Phys.}
+\newcommand*\gca{Geochim.~Cosmochim.~Acta}
+\newcommand*\grl{Geophys.~Res.~Lett.}
+\newcommand*\iaucirc{IAU~Circ.}
+\newcommand*\icarus{Icarus}
+\newcommand*\jcap{J. Cosmology Astropart. Phys.}
+\newcommand*\jcp{J.~Chem.~Phys.}
+\newcommand*\jgr{J.~Geophys.~Res.}
+\newcommand*\jqsrt{J.~Quant.~Spectr.~Rad.~Transf.}
+\newcommand*\jrasc{JRASC}
+\newcommand*\memras{MmRAS}
+\newcommand*\memsai{Mem.~Soc.~Astron.~Italiana}
+\newcommand*\mnras{MNRAS}
+\newcommand*\na{New A}
+\newcommand*\nar{New A Rev.}
+\newcommand*\nat{Nature}
+\newcommand*\nphysa{Nucl.~Phys.~A}
+\newcommand*\pasa{PASA}
+\newcommand*\pasj{PASJ}
+\newcommand*\pasp{PASP}
+\newcommand*\physrep{Phys.~Rep.}
+\newcommand*\physscr{Phys.~Scr}
+\newcommand*\planss{Planet.~Space~Sci.}
+\newcommand*\pra{Phys.~Rev.~A}
+\newcommand*\prb{Phys.~Rev.~B}
+\newcommand*\prc{Phys.~Rev.~C}
+\newcommand*\prd{Phys.~Rev.~D}
+\newcommand*\pre{Phys.~Rev.~E}
+\newcommand*\prl{Phys.~Rev.~Lett.}
+\newcommand*\procspie{Proc.~SPIE}
+\newcommand*\qjras{QJRAS}
+\newcommand*\rmxaa{Rev. Mexicana Astron. Astrofis.}
+\newcommand*\skytel{S\&T}
+\newcommand*\solphys{Sol.~Phys.}
+\newcommand*\sovast{Soviet~Ast.}
+\newcommand*\ssr{Space~Sci.~Rev.}
+\newcommand*\zap{ZAp}
+\DeclareMathAlphabet{\mathsfsl}{OT1}{txss}{m}{sl}
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+\g@addto@macro{\landscape}{\centering\setlength{\LTcapwidth}{\aa@fullheight}}}{}
+\@ifpackageloaded{aalongtable}%
+{\def\LS@rot{%
+ \setbox\@outputbox\vbox
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+\@ifpackageloaded{subfigure}%
+{\renewcommand*{\thesubfigure}{\alph{subfigure}}
+\renewcommand*{\@thesubfigure}{(\thesubfigure)\hskip\subfiglabelskip}
+\renewcommand*{\@@thesubfigure}{(\thesubfigure)}%
+\renewcommand*{\thesubtable}{\alph{subtable}}
+\renewcommand*{\@thesubtable}{(\thesubtable)\hskip\subfiglabelskip}
+\renewcommand*{\@@thesubtable}{(\thesubtable)}}{}
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+{%
+ \newcommand*\bbba{\ensuremath{\varmathbb{A}}}
+ \newcommand*\bbbb{\ensuremath{\varmathbb{B}}}
+ \newcommand*\bbbc{\ensuremath{\varmathbb{C}}}
+ \newcommand*\bbbd{\ensuremath{\varmathbb{D}}}
+ \newcommand*\bbbe{\ensuremath{\varmathbb{E}}}
+ \newcommand*\bbbf{\ensuremath{\varmathbb{F}}}
+ \newcommand*\bbbg{\ensuremath{\varmathbb{G}}}
+ \newcommand*\bbbh{\ensuremath{\varmathbb{H}}}
+ \newcommand*\bbbi{\ensuremath{\varmathbb{I}}}
+ \newcommand*\bbbj{\ensuremath{\varmathbb{J}}}
+ \newcommand*\bbbk{\ensuremath{\varmathbb{K}}}
+ \newcommand*\bbbl{\ensuremath{\varmathbb{L}}}
+ \newcommand*\bbbm{\ensuremath{\varmathbb{M}}}
+ \newcommand*\bbbn{\ensuremath{\varmathbb{N}}}
+ \newcommand*\bbbo{\ensuremath{\varmathbb{O}}}
+ \newcommand*\bbbp{\ensuremath{\varmathbb{P}}}
+ \newcommand*\bbbq{\ensuremath{\varmathbb{Q}}}
+ \newcommand*\bbbr{\ensuremath{\varmathbb{R}}}
+ \newcommand*\bbbs{\ensuremath{\varmathbb{S}}}
+ \newcommand*\bbbt{\ensuremath{\varmathbb{T}}}
+ \newcommand*\bbbu{\ensuremath{\varmathbb{U}}}
+ \newcommand*\bbbv{\ensuremath{\varmathbb{V}}}
+ \newcommand*\bbbw{\ensuremath{\varmathbb{W}}}
+ \newcommand*\bbbx{\ensuremath{\varmathbb{X}}}
+ \newcommand*\bbby{\ensuremath{\varmathbb{Y}}}
+ \newcommand*\bbbz{\ensuremath{\varmathbb{Z}}}}%
+{%
+ \newcommand*\bbba{\ensuremath{\mathbf{A}}}
+ \newcommand*\bbbb{\ensuremath{\mathbf{B}}}
+ \newcommand*\bbbc{\ensuremath{\mathbf{C}}}
+ \newcommand*\bbbd{\ensuremath{\mathbf{D}}}
+ \newcommand*\bbbe{\ensuremath{\mathbf{E}}}
+ \newcommand*\bbbf{\ensuremath{\mathbf{F}}}
+ \newcommand*\bbbg{\ensuremath{\mathbf{G}}}
+ \newcommand*\bbbh{\ensuremath{\mathbf{H}}}
+ \newcommand*\bbbi{\ensuremath{\mathbf{I}}}
+ \newcommand*\bbbj{\ensuremath{\mathbf{J}}}
+ \newcommand*\bbbk{\ensuremath{\mathbf{K}}}
+ \newcommand*\bbbl{\ensuremath{\mathbf{L}}}
+ \newcommand*\bbbm{\ensuremath{\mathbf{M}}}
+ \newcommand*\bbbn{\ensuremath{\mathbf{N}}}
+ \newcommand*\bbbo{\ensuremath{\mathbf{O}}}
+ \newcommand*\bbbp{\ensuremath{\mathbf{P}}}
+ \newcommand*\bbbq{\ensuremath{\mathbf{Q}}}
+ \newcommand*\bbbr{\ensuremath{\mathbf{R}}}
+ \newcommand*\bbbs{\ensuremath{\mathbf{S}}}
+ \newcommand*\bbbt{\ensuremath{\mathbf{T}}}
+ \newcommand*\bbbu{\ensuremath{\mathbf{U}}}
+ \newcommand*\bbbv{\ensuremath{\mathbf{V}}}
+ \newcommand*\bbbw{\ensuremath{\mathbf{W}}}
+ \newcommand*\bbbx{\ensuremath{\mathbf{X}}}
+ \newcommand*\bbby{\ensuremath{\mathbf{Y}}}
+ \newcommand*\bbbz{\ensuremath{\mathbf{Z}}}}
+%\@ifpackageloaded{hyperref}%
+%{}{\RequirePackage[colorlinks=true,
+% linkcolor=blue, citecolor=blue, filecolor=blue, urlcolor=blue]{hyperref}}%
+}
+\setlength\leftmargini {\parindent}
+\leftmargin \leftmargini
+\setlength\leftmarginii {\parindent}
+\setlength\leftmarginiii {1.87em}
+\setlength\leftmarginiv {1.7em}
+\setlength\leftmarginv {.5em}
+\setlength\leftmarginvi {.5em}
+\setlength \labelsep {.5em}
+\setlength \labelwidth{\leftmargini}
+\addtolength\labelwidth{-\labelsep}
+\renewcommand\theenumi{\@arabic\c@enumi}
+\renewcommand\theenumii{\@alph\c@enumii}
+\renewcommand\theenumiii{\@roman\c@enumiii}
+\renewcommand\theenumiv{\@Alph\c@enumiv}
+\renewcommand\labelenumi{\theenumi.}
+\renewcommand\labelenumii{(\theenumii)}
+\renewcommand\labelenumiii{\theenumiii.}
+\renewcommand\labelenumiv{\theenumiv.}
+\renewcommand\p@enumii{\theenumi}
+\renewcommand\p@enumiii{\theenumi(\theenumii)}
+\renewcommand\p@enumiv{\p@enumiii\theenumiii}
+\renewcommand\labelitemi{\normalfont\bfseries --}
+\renewcommand\labelitemii{\normalfont\bfseries --}
+\renewcommand\labelitemiii{$\m@th\bullet$}
+\renewcommand\labelitemiv{$\m@th\cdot$}
+\def\arxivprefixe{arXiv}
+\def\arxivprefixesep{:}
+\def\arxiv#1{%
+{\tt \arxivprefixe\arxivprefixesep\ignorespaces#1}%
+}
+\newcommand{\eprint}[2][]{%
+{\tt\if!#1!#2\else#1\arxivprefixesep\ignorespaces#2\fi}%
+}
+% \corr : Mute tag used by LE
+\newcommand{\corr}[1]{#1}
+%
+% Package required for complexed name figure files
+\RequirePackage{grffile}
+%
+\endinput
+%%
+%% End of file `aa.cls'.
generated by cgit v1.2.1 (git 2.18.0) at 2025-06-25 03:52:51 +0000